diff --git "a/data/track_applied/splits/task7_route_analysis_train.json" "b/data/track_applied/splits/task7_route_analysis_train.json" new file mode 100644--- /dev/null +++ "b/data/track_applied/splits/task7_route_analysis_train.json" @@ -0,0 +1,87722 @@ +[ + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 47.48427, + "lon": 19.13913, + "name": "Kőbánya" + }, + "end": { + "lat": 42.35861, + "lon": 20.825, + "name": "Suva Reka" + }, + "waypoint": { + "lat": -26.31401, + "lon": 26.82223, + "name": "Ventersdorp" + }, + "question": "Is Ventersdorp approximately on the direct path from Kőbánya to Suva Reka?", + "ground_truth": { + "answer": false, + "direct_distance_km": 585.2, + "via_waypoint_km": 15902.9, + "detour_km": 15317.7, + "detour_percent": 2617.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kőbánya", + " End: Suva Reka", + " Waypoint: Ventersdorp", + "Step 2: Calculate direct distance", + " Start → End: 585.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15902.9 km", + "Step 4: Calculate detour", + " Detour = 15902.9 - 585.2 = 15317.7 km", + " Detour % = (15317.7 / 585.2) × 100 = 2617.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2617.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 50.39583, + "lon": 3.77792, + "name": "Dour" + }, + "end": { + "lat": 38.83091, + "lon": -9.16845, + "name": "Loures" + }, + "waypoint": { + "lat": 33.51623, + "lon": -90.17953, + "name": "Greenwood" + }, + "question": "Is Greenwood approximately on the direct path from Dour to Loures?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1639.4, + "via_waypoint_km": 14513.9, + "detour_km": 12874.5, + "detour_percent": 785.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Dour", + " End: Loures", + " Waypoint: Greenwood", + "Step 2: Calculate direct distance", + " Start → End: 1639.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14513.9 km", + "Step 4: Calculate detour", + " Detour = 14513.9 - 1639.4 = 12874.5 km", + " Detour % = (12874.5 / 1639.4) × 100 = 785.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 785.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -16.35778, + "lon": -49.49611, + "name": "Inhumas" + }, + "end": { + "lat": 38.01714, + "lon": -122.28858, + "name": "Hercules" + }, + "waypoint": { + "lat": 48.4359, + "lon": -123.35155, + "name": "Victoria" + }, + "question": "Is Victoria approximately on the direct path from Inhumas to Hercules?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9687.8, + "via_waypoint_km": 11384.0, + "detour_km": 1696.3, + "detour_percent": 17.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Inhumas", + " End: Hercules", + " Waypoint: Victoria", + "Step 2: Calculate direct distance", + " Start → End: 9687.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11384.0 km", + "Step 4: Calculate detour", + " Detour = 11384.0 - 9687.8 = 1696.3 km", + " Detour % = (1696.3 / 9687.8) × 100 = 17.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 17.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 6.73668, + "lon": -6.95487, + "name": "Guéssabo" + }, + "end": { + "lat": -10.73912, + "lon": 17.71766, + "name": "Luquembo" + }, + "waypoint": { + "lat": -2.53222, + "lon": -44.1075, + "name": "Paço do Lumiar" + }, + "question": "Is Paço do Lumiar approximately on the direct path from Guéssabo to Luquembo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3351.8, + "via_waypoint_km": 11128.8, + "detour_km": 7777.0, + "detour_percent": 232.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Guéssabo", + " End: Luquembo", + " Waypoint: Paço do Lumiar", + "Step 2: Calculate direct distance", + " Start → End: 3351.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11128.8 km", + "Step 4: Calculate detour", + " Detour = 11128.8 - 3351.8 = 7777.0 km", + " Detour % = (7777.0 / 3351.8) × 100 = 232.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 232.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 22.06312, + "lon": 82.13129, + "name": "Tifrā" + }, + "end": { + "lat": 6.88658, + "lon": 46.21508, + "name": "Waal" + }, + "waypoint": { + "lat": -2.86444, + "lon": -44.03944, + "name": "Morros" + }, + "question": "Is Morros approximately on the direct path from Tifrā to Waal?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4202.8, + "via_waypoint_km": 23907.2, + "detour_km": 19704.4, + "detour_percent": 468.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tifrā", + " End: Waal", + " Waypoint: Morros", + "Step 2: Calculate direct distance", + " Start → End: 4202.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23907.2 km", + "Step 4: Calculate detour", + " Detour = 23907.2 - 4202.8 = 19704.4 km", + " Detour % = (19704.4 / 4202.8) × 100 = 468.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 468.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 59.37722, + "lon": 28.19028, + "name": "Narva" + }, + "end": { + "lat": 53.68993, + "lon": 88.06221, + "name": "Mezhdurechensk" + }, + "waypoint": { + "lat": 9.89206, + "lon": 43.38531, + "name": "Baki" + }, + "question": "Is Baki approximately on the direct path from Narva to Mezhdurechensk?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3596.6, + "via_waypoint_km": 11920.6, + "detour_km": 8324.0, + "detour_percent": 231.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Narva", + " End: Mezhdurechensk", + " Waypoint: Baki", + "Step 2: Calculate direct distance", + " Start → End: 3596.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11920.6 km", + "Step 4: Calculate detour", + " Detour = 11920.6 - 3596.6 = 8324.0 km", + " Detour % = (8324.0 / 3596.6) × 100 = 231.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 231.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 41.0051, + "lon": -73.78458, + "name": "Scarsdale" + }, + "end": { + "lat": 21.19147, + "lon": 81.27619, + "name": "Durg" + }, + "waypoint": { + "lat": 52.48142, + "lon": -1.89983, + "name": "Birmingham" + }, + "question": "Is Birmingham approximately on the direct path from Scarsdale to Durg?", + "ground_truth": { + "answer": true, + "direct_distance_km": 12635.1, + "via_waypoint_km": 13088.0, + "detour_km": 452.9, + "detour_percent": 3.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Scarsdale", + " End: Durg", + " Waypoint: Birmingham", + "Step 2: Calculate direct distance", + " Start → End: 12635.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13088.0 km", + "Step 4: Calculate detour", + " Detour = 13088.0 - 12635.1 = 452.9 km", + " Detour % = (452.9 / 12635.1) × 100 = 3.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 3.6% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 35.3, + "lon": 135.11667, + "name": "Fukuchiyama" + }, + "end": { + "lat": 53.35, + "lon": -1.55, + "name": "Fulwood" + }, + "waypoint": { + "lat": -1.24857, + "lon": 29.98993, + "name": "Kabale" + }, + "question": "Is Kabale approximately on the direct path from Fukuchiyama to Fulwood?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9310.1, + "via_waypoint_km": 18193.4, + "detour_km": 8883.4, + "detour_percent": 95.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Fukuchiyama", + " End: Fulwood", + " Waypoint: Kabale", + "Step 2: Calculate direct distance", + " Start → End: 9310.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18193.4 km", + "Step 4: Calculate detour", + " Detour = 18193.4 - 9310.1 = 8883.4 km", + " Detour % = (8883.4 / 9310.1) × 100 = 95.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 95.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -37.87822, + "lon": 175.4402, + "name": "Cambridge" + }, + "end": { + "lat": -14.20361, + "lon": -41.66528, + "name": "Brumado" + }, + "waypoint": { + "lat": 41.84559, + "lon": -87.75394, + "name": "Cicero" + }, + "question": "Is Cicero approximately on the direct path from Cambridge to Brumado?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13050.0, + "via_waypoint_km": 21008.5, + "detour_km": 7958.5, + "detour_percent": 61.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Cambridge", + " End: Brumado", + " Waypoint: Cicero", + "Step 2: Calculate direct distance", + " Start → End: 13050.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21008.5 km", + "Step 4: Calculate detour", + " Detour = 21008.5 - 13050.0 = 7958.5 km", + " Detour % = (7958.5 / 13050.0) × 100 = 61.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 61.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -16.46667, + "lon": 46.71667, + "name": "Ambato Boeny" + }, + "end": { + "lat": 14.5594, + "lon": 121.0258, + "name": "Bel Air" + }, + "waypoint": { + "lat": -23.425, + "lon": -49.72083, + "name": "Carlópolis" + }, + "question": "Is Carlópolis approximately on the direct path from Ambato Boeny to Bel Air?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8856.0, + "via_waypoint_km": 28549.2, + "detour_km": 19693.2, + "detour_percent": 222.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ambato Boeny", + " End: Bel Air", + " Waypoint: Carlópolis", + "Step 2: Calculate direct distance", + " Start → End: 8856.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 28549.2 km", + "Step 4: Calculate detour", + " Detour = 28549.2 - 8856.0 = 19693.2 km", + " Detour % = (19693.2 / 8856.0) × 100 = 222.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 222.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -13.40056, + "lon": -44.19472, + "name": "São Félix do Coribe" + }, + "end": { + "lat": 27.08694, + "lon": 93.60987, + "name": "Itanagar" + }, + "waypoint": { + "lat": 20.29879, + "lon": -76.24511, + "name": "Contramaestre" + }, + "question": "Is Contramaestre approximately on the direct path from São Félix do Coribe to Itanagar?", + "ground_truth": { + "answer": false, + "direct_distance_km": 15383.3, + "via_waypoint_km": 19764.4, + "detour_km": 4381.1, + "detour_percent": 28.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: São Félix do Coribe", + " End: Itanagar", + " Waypoint: Contramaestre", + "Step 2: Calculate direct distance", + " Start → End: 15383.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19764.4 km", + "Step 4: Calculate detour", + " Detour = 19764.4 - 15383.3 = 4381.1 km", + " Detour % = (4381.1 / 15383.3) × 100 = 28.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 28.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 6.154, + "lon": -5.69334, + "name": "Moussadougou" + }, + "end": { + "lat": 7.38299, + "lon": 4.26031, + "name": "Modakeke" + }, + "waypoint": { + "lat": -41.28664, + "lon": 174.77557, + "name": "Wellington" + }, + "question": "Is Wellington approximately on the direct path from Moussadougou to Modakeke?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1107.5, + "via_waypoint_km": 32238.6, + "detour_km": 31131.1, + "detour_percent": 2810.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Moussadougou", + " End: Modakeke", + " Waypoint: Wellington", + "Step 2: Calculate direct distance", + " Start → End: 1107.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 32238.6 km", + "Step 4: Calculate detour", + " Detour = 32238.6 - 1107.5 = 31131.1 km", + " Detour % = (31131.1 / 1107.5) × 100 = 2810.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2810.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -34.02903, + "lon": 24.76912, + "name": "Humansdorp" + }, + "end": { + "lat": 37.5841, + "lon": -122.36608, + "name": "Burlingame" + }, + "waypoint": { + "lat": 33.94278, + "lon": 105.06739, + "name": "Longlin" + }, + "question": "Is Longlin approximately on the direct path from Humansdorp to Burlingame?", + "ground_truth": { + "answer": false, + "direct_distance_km": 17040.4, + "via_waypoint_km": 21940.6, + "detour_km": 4900.2, + "detour_percent": 28.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Humansdorp", + " End: Burlingame", + " Waypoint: Longlin", + "Step 2: Calculate direct distance", + " Start → End: 17040.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21940.6 km", + "Step 4: Calculate detour", + " Detour = 21940.6 - 17040.4 = 4900.2 km", + " Detour % = (4900.2 / 17040.4) × 100 = 28.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 28.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 47.26331, + "lon": 39.869, + "name": "Aksay" + }, + "end": { + "lat": -21.97556, + "lon": -45.35028, + "name": "Lambari" + }, + "waypoint": { + "lat": -20.91806, + "lon": -49.44528, + "name": "Bady Bassitt" + }, + "question": "Is Bady Bassitt approximately on the direct path from Aksay to Lambari?", + "ground_truth": { + "answer": true, + "direct_distance_km": 11436.4, + "via_waypoint_km": 12087.8, + "detour_km": 651.4, + "detour_percent": 5.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Aksay", + " End: Lambari", + " Waypoint: Bady Bassitt", + "Step 2: Calculate direct distance", + " Start → End: 11436.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12087.8 km", + "Step 4: Calculate detour", + " Detour = 12087.8 - 11436.4 = 651.4 km", + " Detour % = (651.4 / 11436.4) × 100 = 5.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 5.7% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 9.9832, + "lon": -75.30155, + "name": "María la Baja" + }, + "end": { + "lat": 41.39458, + "lon": 2.17946, + "name": "Fort Pienc" + }, + "waypoint": { + "lat": 41.0033, + "lon": 16.87208, + "name": "Adelfia" + }, + "question": "Is Adelfia approximately on the direct path from María la Baja to Fort Pienc?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8234.1, + "via_waypoint_km": 10690.4, + "detour_km": 2456.3, + "detour_percent": 29.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: María la Baja", + " End: Fort Pienc", + " Waypoint: Adelfia", + "Step 2: Calculate direct distance", + " Start → End: 8234.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10690.4 km", + "Step 4: Calculate detour", + " Detour = 10690.4 - 8234.1 = 2456.3 km", + " Detour % = (2456.3 / 8234.1) × 100 = 29.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 29.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -29.12528, + "lon": -56.55306, + "name": "Itaqui" + }, + "end": { + "lat": -24.59167, + "lon": -52.79889, + "name": "Campina da Lagoa" + }, + "waypoint": { + "lat": 51.38914, + "lon": 0.54863, + "name": "Gillingham" + }, + "question": "Is Gillingham approximately on the direct path from Itaqui to Campina da Lagoa?", + "ground_truth": { + "answer": false, + "direct_distance_km": 626.6, + "via_waypoint_km": 20466.1, + "detour_km": 19839.4, + "detour_percent": 3166.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Itaqui", + " End: Campina da Lagoa", + " Waypoint: Gillingham", + "Step 2: Calculate direct distance", + " Start → End: 626.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20466.1 km", + "Step 4: Calculate detour", + " Detour = 20466.1 - 626.6 = 19839.4 km", + " Detour % = (19839.4 / 626.6) × 100 = 3166.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 3166.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.47475, + "lon": -0.15547, + "name": "Battersea" + }, + "end": { + "lat": 63.99813, + "lon": -22.56111, + "name": "Reykjanesbær" + }, + "waypoint": { + "lat": 3.80315, + "lon": 42.54417, + "name": "Luuq" + }, + "question": "Is Luuq approximately on the direct path from Battersea to Reykjanesbær?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1905.7, + "via_waypoint_km": 15046.8, + "detour_km": 13141.0, + "detour_percent": 689.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Battersea", + " End: Reykjanesbær", + " Waypoint: Luuq", + "Step 2: Calculate direct distance", + " Start → End: 1905.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15046.8 km", + "Step 4: Calculate detour", + " Detour = 15046.8 - 1905.7 = 13141.0 km", + " Detour % = (13141.0 / 1905.7) × 100 = 689.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 689.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -19.22444, + "lon": -44.93528, + "name": "Pompéu" + }, + "end": { + "lat": -4.17972, + "lon": -38.13056, + "name": "Beberibe" + }, + "waypoint": { + "lat": 43.36029, + "lon": -5.84476, + "name": "Oviedo" + }, + "question": "Is Oviedo approximately on the direct path from Pompéu to Beberibe?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1828.6, + "via_waypoint_km": 14219.0, + "detour_km": 12390.3, + "detour_percent": 677.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Pompéu", + " End: Beberibe", + " Waypoint: Oviedo", + "Step 2: Calculate direct distance", + " Start → End: 1828.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14219.0 km", + "Step 4: Calculate detour", + " Detour = 14219.0 - 1828.6 = 12390.3 km", + " Detour % = (12390.3 / 1828.6) × 100 = 677.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 677.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 44.92625, + "lon": 37.99025, + "name": "Krymsk" + }, + "end": { + "lat": 38.85861, + "lon": -104.69886, + "name": "Cimarron Hills" + }, + "waypoint": { + "lat": 36.64964, + "lon": 9.61231, + "name": "Medjez el Bab" + }, + "question": "Is Medjez el Bab approximately on the direct path from Krymsk to Cimarron Hills?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9978.5, + "via_waypoint_km": 11802.6, + "detour_km": 1824.1, + "detour_percent": 18.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Krymsk", + " End: Cimarron Hills", + " Waypoint: Medjez el Bab", + "Step 2: Calculate direct distance", + " Start → End: 9978.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11802.6 km", + "Step 4: Calculate detour", + " Detour = 11802.6 - 9978.5 = 1824.1 km", + " Detour % = (1824.1 / 9978.5) × 100 = 18.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 18.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 47.63641, + "lon": 19.13864, + "name": "Dunakeszi" + }, + "end": { + "lat": 42.94769, + "lon": 89.17886, + "name": "Turpan" + }, + "waypoint": { + "lat": 42.39176, + "lon": -71.03283, + "name": "Chelsea" + }, + "question": "Is Chelsea approximately on the direct path from Dunakeszi to Turpan?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5314.5, + "via_waypoint_km": 17018.2, + "detour_km": 11703.7, + "detour_percent": 220.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Dunakeszi", + " End: Turpan", + " Waypoint: Chelsea", + "Step 2: Calculate direct distance", + " Start → End: 5314.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17018.2 km", + "Step 4: Calculate detour", + " Detour = 17018.2 - 5314.5 = 11703.7 km", + " Detour % = (11703.7 / 5314.5) × 100 = 220.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 220.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 33.72654, + "lon": 59.18439, + "name": "Qā’en" + }, + "end": { + "lat": 44.87058, + "lon": 38.15759, + "name": "Abinsk" + }, + "waypoint": { + "lat": 38.95617, + "lon": 20.7505, + "name": "Préveza" + }, + "question": "Is Préveza approximately on the direct path from Qā’en to Abinsk?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2182.5, + "via_waypoint_km": 5044.3, + "detour_km": 2861.8, + "detour_percent": 131.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Qā’en", + " End: Abinsk", + " Waypoint: Préveza", + "Step 2: Calculate direct distance", + " Start → End: 2182.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 5044.3 km", + "Step 4: Calculate detour", + " Detour = 5044.3 - 2182.5 = 2861.8 km", + " Detour % = (2861.8 / 2182.5) × 100 = 131.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 131.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 8.39307, + "lon": 8.35544, + "name": "Doma" + }, + "end": { + "lat": 31.755, + "lon": -8.11, + "name": "Tamansourt" + }, + "waypoint": { + "lat": 40.82732, + "lon": -73.85013, + "name": "Unionport" + }, + "question": "Is Unionport approximately on the direct path from Doma to Tamansourt?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3105.7, + "via_waypoint_km": 14584.8, + "detour_km": 11479.2, + "detour_percent": 369.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Doma", + " End: Tamansourt", + " Waypoint: Unionport", + "Step 2: Calculate direct distance", + " Start → End: 3105.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14584.8 km", + "Step 4: Calculate detour", + " Detour = 14584.8 - 3105.7 = 11479.2 km", + " Detour % = (11479.2 / 3105.7) × 100 = 369.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 369.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -0.96667, + "lon": 30.6, + "name": "Iryango" + }, + "end": { + "lat": 27.57429, + "lon": 81.59474, + "name": "Bahraigh" + }, + "waypoint": { + "lat": 52.41471, + "lon": 31.31429, + "name": "Dobrush" + }, + "question": "Is Dobrush approximately on the direct path from Iryango to Bahraigh?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6297.2, + "via_waypoint_km": 10892.7, + "detour_km": 4595.5, + "detour_percent": 73.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Iryango", + " End: Bahraigh", + " Waypoint: Dobrush", + "Step 2: Calculate direct distance", + " Start → End: 6297.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10892.7 km", + "Step 4: Calculate detour", + " Detour = 10892.7 - 6297.2 = 4595.5 km", + " Detour % = (4595.5 / 6297.2) × 100 = 73.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 73.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 33.95015, + "lon": -118.03917, + "name": "South Whittier" + }, + "end": { + "lat": -2.63861, + "lon": 30.46778, + "name": "Kabanga" + }, + "waypoint": { + "lat": 43.09461, + "lon": -0.04611, + "name": "Lourdes" + }, + "question": "Is Lourdes approximately on the direct path from South Whittier to Kabanga?", + "ground_truth": { + "answer": true, + "direct_distance_km": 15242.5, + "via_waypoint_km": 15318.9, + "detour_km": 76.4, + "detour_percent": 0.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: South Whittier", + " End: Kabanga", + " Waypoint: Lourdes", + "Step 2: Calculate direct distance", + " Start → End: 15242.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15318.9 km", + "Step 4: Calculate detour", + " Detour = 15318.9 - 15242.5 = 76.4 km", + " Detour % = (76.4 / 15242.5) × 100 = 0.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.5% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 42.50309, + "lon": -83.18354, + "name": "Berkley" + }, + "end": { + "lat": 11.10454, + "lon": 42.36971, + "name": "Dikhil" + }, + "waypoint": { + "lat": 25.57548, + "lon": 83.98043, + "name": "Buxar" + }, + "question": "Is Buxar approximately on the direct path from Berkley to Dikhil?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11885.5, + "via_waypoint_km": 16984.5, + "detour_km": 5099.0, + "detour_percent": 42.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Berkley", + " End: Dikhil", + " Waypoint: Buxar", + "Step 2: Calculate direct distance", + " Start → End: 11885.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16984.5 km", + "Step 4: Calculate detour", + " Detour = 16984.5 - 11885.5 = 5099.0 km", + " Detour % = (5099.0 / 11885.5) × 100 = 42.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 42.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 48.94094, + "lon": 8.40763, + "name": "Ettlingen" + }, + "end": { + "lat": 33.58861, + "lon": 119.01917, + "name": "Huai'an" + }, + "waypoint": { + "lat": 44.30011, + "lon": -79.64964, + "name": "Innisfil" + }, + "question": "Is Innisfil approximately on the direct path from Ettlingen to Huai'an?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8564.8, + "via_waypoint_km": 17504.4, + "detour_km": 8939.6, + "detour_percent": 104.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ettlingen", + " End: Huai'an", + " Waypoint: Innisfil", + "Step 2: Calculate direct distance", + " Start → End: 8564.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17504.4 km", + "Step 4: Calculate detour", + " Detour = 17504.4 - 8564.8 = 8939.6 km", + " Detour % = (8939.6 / 8564.8) × 100 = 104.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 104.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 44.97991, + "lon": 16.71401, + "name": "Prijedor" + }, + "end": { + "lat": -11.36667, + "lon": -38.33333, + "name": "Olindina" + }, + "waypoint": { + "lat": 19.59042, + "lon": -102.47242, + "name": "Los Reyes de Salgado" + }, + "question": "Is Los Reyes de Salgado approximately on the direct path from Prijedor to Olindina?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8345.1, + "via_waypoint_km": 18387.8, + "detour_km": 10042.6, + "detour_percent": 120.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Prijedor", + " End: Olindina", + " Waypoint: Los Reyes de Salgado", + "Step 2: Calculate direct distance", + " Start → End: 8345.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18387.8 km", + "Step 4: Calculate detour", + " Detour = 18387.8 - 8345.1 = 10042.6 km", + " Detour % = (10042.6 / 8345.1) × 100 = 120.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 120.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 26.68451, + "lon": -80.66756, + "name": "Belle Glade" + }, + "end": { + "lat": 41.5908, + "lon": 12.82808, + "name": "Cisterna di Latina" + }, + "waypoint": { + "lat": 29.61853, + "lon": 77.43908, + "name": "Jalālābad" + }, + "question": "Is Jalālābad approximately on the direct path from Belle Glade to Cisterna di Latina?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8349.3, + "via_waypoint_km": 19187.6, + "detour_km": 10838.3, + "detour_percent": 129.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Belle Glade", + " End: Cisterna di Latina", + " Waypoint: Jalālābad", + "Step 2: Calculate direct distance", + " Start → End: 8349.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19187.6 km", + "Step 4: Calculate detour", + " Detour = 19187.6 - 8349.3 = 10838.3 km", + " Detour % = (10838.3 / 8349.3) × 100 = 129.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 129.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 31.78737, + "lon": 34.70659, + "name": "Gan Yavne" + }, + "end": { + "lat": 8.30746, + "lon": 77.15205, + "name": "Methukummal" + }, + "waypoint": { + "lat": -31.87101, + "lon": 26.97862, + "name": "Queensdale" + }, + "question": "Is Queensdale approximately on the direct path from Gan Yavne to Methukummal?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5096.3, + "via_waypoint_km": 14073.5, + "detour_km": 8977.3, + "detour_percent": 176.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Gan Yavne", + " End: Methukummal", + " Waypoint: Queensdale", + "Step 2: Calculate direct distance", + " Start → End: 5096.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14073.5 km", + "Step 4: Calculate detour", + " Detour = 14073.5 - 5096.3 = 8977.3 km", + " Detour % = (8977.3 / 5096.3) × 100 = 176.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 176.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 47.68149, + "lon": -122.20874, + "name": "Kirkland" + }, + "end": { + "lat": 39.09928, + "lon": -76.84831, + "name": "Laurel" + }, + "waypoint": { + "lat": 14.51255, + "lon": -17.00447, + "name": "Nguékhokh" + }, + "question": "Is Nguékhokh approximately on the direct path from Kirkland to Laurel?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3730.2, + "via_waypoint_km": 16323.7, + "detour_km": 12593.5, + "detour_percent": 337.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kirkland", + " End: Laurel", + " Waypoint: Nguékhokh", + "Step 2: Calculate direct distance", + " Start → End: 3730.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16323.7 km", + "Step 4: Calculate detour", + " Detour = 16323.7 - 3730.2 = 12593.5 km", + " Detour % = (12593.5 / 3730.2) × 100 = 337.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 337.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 35.86559, + "lon": -101.97324, + "name": "Dumas" + }, + "end": { + "lat": -40.35636, + "lon": 175.61113, + "name": "Palmerston North" + }, + "waypoint": { + "lat": 15.21233, + "lon": 145.7545, + "name": "Saipan" + }, + "question": "Is Saipan approximately on the direct path from Dumas to Palmerston North?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11934.6, + "via_waypoint_km": 17825.5, + "detour_km": 5890.9, + "detour_percent": 49.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Dumas", + " End: Palmerston North", + " Waypoint: Saipan", + "Step 2: Calculate direct distance", + " Start → End: 11934.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17825.5 km", + "Step 4: Calculate detour", + " Detour = 17825.5 - 11934.6 = 5890.9 km", + " Detour % = (5890.9 / 11934.6) × 100 = 49.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 49.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -4.8, + "lon": 38.25, + "name": "Matui" + }, + "end": { + "lat": -7.57611, + "lon": -40.49833, + "name": "Araripina" + }, + "waypoint": { + "lat": 52.71083, + "lon": 5.74861, + "name": "Emmeloord" + }, + "question": "Is Emmeloord approximately on the direct path from Matui to Araripina?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8700.2, + "via_waypoint_km": 15083.2, + "detour_km": 6383.0, + "detour_percent": 73.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Matui", + " End: Araripina", + " Waypoint: Emmeloord", + "Step 2: Calculate direct distance", + " Start → End: 8700.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15083.2 km", + "Step 4: Calculate detour", + " Detour = 15083.2 - 8700.2 = 6383.0 km", + " Detour % = (6383.0 / 8700.2) × 100 = 73.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 73.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 14.85, + "lon": -15.88333, + "name": "Touba" + }, + "end": { + "lat": -14.65, + "lon": 49.65, + "name": "Andapa" + }, + "waypoint": { + "lat": 8.89367, + "lon": 11.3596, + "name": "Jalingo" + }, + "question": "Is Jalingo approximately on the direct path from Touba to Andapa?", + "ground_truth": { + "answer": true, + "direct_distance_km": 7915.5, + "via_waypoint_km": 8002.3, + "detour_km": 86.8, + "detour_percent": 1.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Touba", + " End: Andapa", + " Waypoint: Jalingo", + "Step 2: Calculate direct distance", + " Start → End: 7915.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 8002.3 km", + "Step 4: Calculate detour", + " Detour = 8002.3 - 7915.5 = 86.8 km", + " Detour % = (86.8 / 7915.5) × 100 = 1.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1.1% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 52.05917, + "lon": 1.15545, + "name": "Ipswich" + }, + "end": { + "lat": 40.48643, + "lon": -86.1336, + "name": "Kokomo" + }, + "waypoint": { + "lat": 50.25161, + "lon": 58.43574, + "name": "Khromtau" + }, + "question": "Is Khromtau approximately on the direct path from Ipswich to Kokomo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6417.4, + "via_waypoint_km": 13245.6, + "detour_km": 6828.2, + "detour_percent": 106.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ipswich", + " End: Kokomo", + " Waypoint: Khromtau", + "Step 2: Calculate direct distance", + " Start → End: 6417.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13245.6 km", + "Step 4: Calculate detour", + " Detour = 13245.6 - 6417.4 = 6828.2 km", + " Detour % = (6828.2 / 6417.4) × 100 = 106.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 106.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -37.99116, + "lon": 145.17385, + "name": "Keysborough" + }, + "end": { + "lat": 12.35, + "lon": 29.25, + "name": "Abū Zabad" + }, + "waypoint": { + "lat": 39.04455, + "lon": -77.11887, + "name": "North Bethesda" + }, + "question": "Is North Bethesda approximately on the direct path from Keysborough to Abū Zabad?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13112.0, + "via_waypoint_km": 26879.2, + "detour_km": 13767.2, + "detour_percent": 105.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Keysborough", + " End: Abū Zabad", + " Waypoint: North Bethesda", + "Step 2: Calculate direct distance", + " Start → End: 13112.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26879.2 km", + "Step 4: Calculate detour", + " Detour = 26879.2 - 13112.0 = 13767.2 km", + " Detour % = (13767.2 / 13112.0) × 100 = 105.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 105.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 25.74664, + "lon": 89.25166, + "name": "Rangpur" + }, + "end": { + "lat": 39.6482, + "lon": 47.9174, + "name": "Pārsābād" + }, + "waypoint": { + "lat": 50.0415, + "lon": 8.24878, + "name": "Biebrich" + }, + "question": "Is Biebrich approximately on the direct path from Rangpur to Pārsābād?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4121.7, + "via_waypoint_km": 10510.3, + "detour_km": 6388.6, + "detour_percent": 155.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Rangpur", + " End: Pārsābād", + " Waypoint: Biebrich", + "Step 2: Calculate direct distance", + " Start → End: 4121.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10510.3 km", + "Step 4: Calculate detour", + " Detour = 10510.3 - 4121.7 = 6388.6 km", + " Detour % = (6388.6 / 4121.7) × 100 = 155.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 155.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 53.31929, + "lon": -3.49228, + "name": "Rhyl" + }, + "end": { + "lat": 37.3404, + "lon": 46.0561, + "name": "Bonāb" + }, + "waypoint": { + "lat": 2.01467, + "lon": 98.96548, + "name": "Tarutung" + }, + "question": "Is Tarutung approximately on the direct path from Rhyl to Bonāb?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4157.0, + "via_waypoint_km": 17317.5, + "detour_km": 13160.4, + "detour_percent": 316.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Rhyl", + " End: Bonāb", + " Waypoint: Tarutung", + "Step 2: Calculate direct distance", + " Start → End: 4157.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17317.5 km", + "Step 4: Calculate detour", + " Detour = 17317.5 - 4157.0 = 13160.4 km", + " Detour % = (13160.4 / 4157.0) × 100 = 316.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 316.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 10.46167, + "lon": -74.61621, + "name": "Pivijay" + }, + "end": { + "lat": 50.39105, + "lon": 24.23514, + "name": "Chervonohrad" + }, + "waypoint": { + "lat": 35.91014, + "lon": -79.07529, + "name": "Carrboro" + }, + "question": "Is Carrboro approximately on the direct path from Pivijay to Chervonohrad?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9730.8, + "via_waypoint_km": 10710.1, + "detour_km": 979.3, + "detour_percent": 10.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Pivijay", + " End: Chervonohrad", + " Waypoint: Carrboro", + "Step 2: Calculate direct distance", + " Start → End: 9730.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10710.1 km", + "Step 4: Calculate detour", + " Detour = 10710.1 - 9730.8 = 979.3 km", + " Detour % = (979.3 / 9730.8) × 100 = 10.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 10.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 1.08647, + "lon": -77.61858, + "name": "Túquerres" + }, + "end": { + "lat": 43.56775, + "lon": 3.90279, + "name": "Lattes" + }, + "waypoint": { + "lat": 51.4975, + "lon": -0.1357, + "name": "City of Westminster" + }, + "question": "Is City of Westminster approximately on the direct path from Túquerres to Lattes?", + "ground_truth": { + "answer": true, + "direct_distance_km": 9242.0, + "via_waypoint_km": 9982.0, + "detour_km": 740.0, + "detour_percent": 8.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Túquerres", + " End: Lattes", + " Waypoint: City of Westminster", + "Step 2: Calculate direct distance", + " Start → End: 9242.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9982.0 km", + "Step 4: Calculate detour", + " Detour = 9982.0 - 9242.0 = 740.0 km", + " Detour % = (740.0 / 9242.0) × 100 = 8.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 8.0% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 12.01667, + "lon": 39.63333, + "name": "Robīt" + }, + "end": { + "lat": 29.47639, + "lon": 30.96119, + "name": "Ţāmiyah" + }, + "waypoint": { + "lat": -23.56086, + "lon": -46.64758, + "name": "Bela Vista" + }, + "question": "Is Bela Vista approximately on the direct path from Robīt to Ţāmiyah?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2138.5, + "via_waypoint_km": 20337.0, + "detour_km": 18198.5, + "detour_percent": 851.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Robīt", + " End: Ţāmiyah", + " Waypoint: Bela Vista", + "Step 2: Calculate direct distance", + " Start → End: 2138.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20337.0 km", + "Step 4: Calculate detour", + " Detour = 20337.0 - 2138.5 = 18198.5 km", + " Detour % = (18198.5 / 2138.5) × 100 = 851.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 851.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -37.8, + "lon": 144.9, + "name": "Footscray" + }, + "end": { + "lat": 42.8436, + "lon": 132.91831, + "name": "Nakhodka" + }, + "waypoint": { + "lat": -16.37057, + "lon": -71.52724, + "name": "Selva Alegre" + }, + "question": "Is Selva Alegre approximately on the direct path from Footscray to Nakhodka?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9048.6, + "via_waypoint_km": 29159.9, + "detour_km": 20111.3, + "detour_percent": 222.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Footscray", + " End: Nakhodka", + " Waypoint: Selva Alegre", + "Step 2: Calculate direct distance", + " Start → End: 9048.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 29159.9 km", + "Step 4: Calculate detour", + " Detour = 29159.9 - 9048.6 = 20111.3 km", + " Detour % = (20111.3 / 9048.6) × 100 = 222.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 222.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 33.7515, + "lon": -84.74771, + "name": "Douglasville" + }, + "end": { + "lat": -6.1, + "lon": 37.45, + "name": "Lubata" + }, + "waypoint": { + "lat": 31.73072, + "lon": 34.99293, + "name": "Bet Shemesh" + }, + "question": "Is Bet Shemesh approximately on the direct path from Douglasville to Lubata?", + "ground_truth": { + "answer": true, + "direct_distance_km": 13340.2, + "via_waypoint_km": 14595.8, + "detour_km": 1255.6, + "detour_percent": 9.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Douglasville", + " End: Lubata", + " Waypoint: Bet Shemesh", + "Step 2: Calculate direct distance", + " Start → End: 13340.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14595.8 km", + "Step 4: Calculate detour", + " Detour = 14595.8 - 13340.2 = 1255.6 km", + " Detour % = (1255.6 / 13340.2) × 100 = 9.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 9.4% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 34.65918, + "lon": 109.22921, + "name": "Yanliang" + }, + "end": { + "lat": 49.59099, + "lon": 11.00783, + "name": "Erlangen" + }, + "waypoint": { + "lat": -25.43321, + "lon": 31.95478, + "name": "Komatipoort" + }, + "question": "Is Komatipoort approximately on the direct path from Yanliang to Erlangen?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7683.3, + "via_waypoint_km": 19117.8, + "detour_km": 11434.5, + "detour_percent": 148.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Yanliang", + " End: Erlangen", + " Waypoint: Komatipoort", + "Step 2: Calculate direct distance", + " Start → End: 7683.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19117.8 km", + "Step 4: Calculate detour", + " Detour = 19117.8 - 7683.3 = 11434.5 km", + " Detour % = (11434.5 / 7683.3) × 100 = 148.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 148.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 38.65078, + "lon": -8.99038, + "name": "Moita" + }, + "end": { + "lat": 54.26217, + "lon": 18.63625, + "name": "Pruszcz Gdański" + }, + "waypoint": { + "lat": -22.8075, + "lon": -43.41389, + "name": "Nilópolis" + }, + "question": "Is Nilópolis approximately on the direct path from Moita to Pruszcz Gdański?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2706.7, + "via_waypoint_km": 18122.3, + "detour_km": 15415.7, + "detour_percent": 569.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Moita", + " End: Pruszcz Gdański", + " Waypoint: Nilópolis", + "Step 2: Calculate direct distance", + " Start → End: 2706.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18122.3 km", + "Step 4: Calculate detour", + " Detour = 18122.3 - 2706.7 = 15415.7 km", + " Detour % = (15415.7 / 2706.7) × 100 = 569.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 569.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 48.75568, + "lon": 2.32241, + "name": "Fresnes" + }, + "end": { + "lat": 18.84369, + "lon": -99.67671, + "name": "Ixtapan de la Sal" + }, + "waypoint": { + "lat": 39.21311, + "lon": -84.59939, + "name": "White Oak" + }, + "question": "Is White Oak approximately on the direct path from Fresnes to Ixtapan de la Sal?", + "ground_truth": { + "answer": true, + "direct_distance_km": 9285.2, + "via_waypoint_km": 9340.4, + "detour_km": 55.3, + "detour_percent": 0.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Fresnes", + " End: Ixtapan de la Sal", + " Waypoint: White Oak", + "Step 2: Calculate direct distance", + " Start → End: 9285.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9340.4 km", + "Step 4: Calculate detour", + " Detour = 9340.4 - 9285.2 = 55.3 km", + " Detour % = (55.3 / 9285.2) × 100 = 0.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.6% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.75769, + "lon": 14.32888, + "name": "Cottbus" + }, + "end": { + "lat": 37.26989, + "lon": -7.02313, + "name": "Aljaraque" + }, + "waypoint": { + "lat": 23.02302, + "lon": 73.07113, + "name": "Kapadvanj" + }, + "question": "Is Kapadvanj approximately on the direct path from Cottbus to Aljaraque?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2320.7, + "via_waypoint_km": 13527.6, + "detour_km": 11207.0, + "detour_percent": 482.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Cottbus", + " End: Aljaraque", + " Waypoint: Kapadvanj", + "Step 2: Calculate direct distance", + " Start → End: 2320.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13527.6 km", + "Step 4: Calculate detour", + " Detour = 13527.6 - 2320.7 = 11207.0 km", + " Detour % = (11207.0 / 2320.7) × 100 = 482.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 482.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.01036, + "lon": -84.26964, + "name": "Oak Ridge" + }, + "end": { + "lat": 7.81528, + "lon": 126.05444, + "name": "Monkayo" + }, + "waypoint": { + "lat": 35.9675, + "lon": 128.93083, + "name": "Eisen" + }, + "question": "Is Eisen approximately on the direct path from Oak Ridge to Monkayo?", + "ground_truth": { + "answer": true, + "direct_distance_km": 14201.8, + "via_waypoint_km": 14450.7, + "detour_km": 248.9, + "detour_percent": 1.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Oak Ridge", + " End: Monkayo", + " Waypoint: Eisen", + "Step 2: Calculate direct distance", + " Start → End: 14201.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14450.7 km", + "Step 4: Calculate detour", + " Detour = 14450.7 - 14201.8 = 248.9 km", + " Detour % = (248.9 / 14201.8) × 100 = 1.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1.8% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 18.68415, + "lon": -99.24577, + "name": "Xoxocotla" + }, + "end": { + "lat": 28.56456, + "lon": 77.15126, + "name": "Murādābād Pahāri" + }, + "waypoint": { + "lat": 52.53319, + "lon": 13.6088, + "name": "Hellersdorf" + }, + "question": "Is Hellersdorf approximately on the direct path from Xoxocotla to Murādābād Pahāri?", + "ground_truth": { + "answer": true, + "direct_distance_km": 14747.0, + "via_waypoint_km": 15580.4, + "detour_km": 833.4, + "detour_percent": 5.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Xoxocotla", + " End: Murādābād Pahāri", + " Waypoint: Hellersdorf", + "Step 2: Calculate direct distance", + " Start → End: 14747.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15580.4 km", + "Step 4: Calculate detour", + " Detour = 15580.4 - 14747.0 = 833.4 km", + " Detour % = (833.4 / 14747.0) × 100 = 5.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 5.7% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -28.87185, + "lon": 28.04501, + "name": "Hlotse" + }, + "end": { + "lat": 37.77099, + "lon": -122.26087, + "name": "Alameda" + }, + "waypoint": { + "lat": 40.44682, + "lon": -3.70347, + "name": "Cuatro Caminos" + }, + "question": "Is Cuatro Caminos approximately on the direct path from Hlotse to Alameda?", + "ground_truth": { + "answer": true, + "direct_distance_km": 17099.0, + "via_waypoint_km": 17681.6, + "detour_km": 582.7, + "detour_percent": 3.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Hlotse", + " End: Alameda", + " Waypoint: Cuatro Caminos", + "Step 2: Calculate direct distance", + " Start → End: 17099.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17681.6 km", + "Step 4: Calculate detour", + " Detour = 17681.6 - 17099.0 = 582.7 km", + " Detour % = (582.7 / 17099.0) × 100 = 3.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 3.4% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.02506, + "lon": -86.77917, + "name": "Brentwood Estates" + }, + "end": { + "lat": -23.66607, + "lon": 27.74477, + "name": "Lephalale" + }, + "waypoint": { + "lat": 40.9781, + "lon": 27.51101, + "name": "Tekirdağ" + }, + "question": "Is Tekirdağ approximately on the direct path from Brentwood Estates to Lephalale?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13668.7, + "via_waypoint_km": 16336.1, + "detour_km": 2667.4, + "detour_percent": 19.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Brentwood Estates", + " End: Lephalale", + " Waypoint: Tekirdağ", + "Step 2: Calculate direct distance", + " Start → End: 13668.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16336.1 km", + "Step 4: Calculate detour", + " Detour = 16336.1 - 13668.7 = 2667.4 km", + " Detour % = (2667.4 / 13668.7) × 100 = 19.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 19.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 52.75577, + "lon": 13.24197, + "name": "Oranienburg" + }, + "end": { + "lat": 50.88681, + "lon": 3.89014, + "name": "Herzele" + }, + "waypoint": { + "lat": 12.81871, + "lon": 79.74925, + "name": "Nattappettai" + }, + "question": "Is Nattappettai approximately on the direct path from Oranienburg to Herzele?", + "ground_truth": { + "answer": false, + "direct_distance_km": 674.9, + "via_waypoint_km": 15219.0, + "detour_km": 14544.1, + "detour_percent": 2154.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Oranienburg", + " End: Herzele", + " Waypoint: Nattappettai", + "Step 2: Calculate direct distance", + " Start → End: 674.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15219.0 km", + "Step 4: Calculate detour", + " Detour = 15219.0 - 674.9 = 14544.1 km", + " Detour % = (14544.1 / 674.9) × 100 = 2154.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2154.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 52.55464, + "lon": 24.45483, + "name": "Pruzhany" + }, + "end": { + "lat": 38.23972, + "lon": 32.21139, + "name": "Kadınhanı" + }, + "waypoint": { + "lat": 20.9948, + "lon": 105.9465, + "name": "Vinhomes Ocean Park" + }, + "question": "Is Vinhomes Ocean Park approximately on the direct path from Pruzhany to Kadınhanı?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1700.7, + "via_waypoint_km": 14799.5, + "detour_km": 13098.8, + "detour_percent": 770.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Pruzhany", + " End: Kadınhanı", + " Waypoint: Vinhomes Ocean Park", + "Step 2: Calculate direct distance", + " Start → End: 1700.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14799.5 km", + "Step 4: Calculate detour", + " Detour = 14799.5 - 1700.7 = 13098.8 km", + " Detour % = (13098.8 / 1700.7) × 100 = 770.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 770.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 41.95336, + "lon": -87.73645, + "name": "Irving Park" + }, + "end": { + "lat": 18.191, + "lon": 79.943, + "name": "Mulugu" + }, + "waypoint": { + "lat": -7.91306, + "lon": 110.29361, + "name": "Pandak" + }, + "question": "Is Pandak approximately on the direct path from Irving Park to Mulugu?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13208.4, + "via_waypoint_km": 20254.1, + "detour_km": 7045.7, + "detour_percent": 53.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Irving Park", + " End: Mulugu", + " Waypoint: Pandak", + "Step 2: Calculate direct distance", + " Start → End: 13208.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20254.1 km", + "Step 4: Calculate detour", + " Detour = 20254.1 - 13208.4 = 7045.7 km", + " Detour % = (7045.7 / 13208.4) × 100 = 53.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 53.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.3246, + "lon": 28.80351, + "name": "Ovruch" + }, + "end": { + "lat": 19.79919, + "lon": -99.875, + "name": "Atlacomulco de Fabela" + }, + "waypoint": { + "lat": -23.4717, + "lon": -46.57923, + "name": "Vila Galvão" + }, + "question": "Is Vila Galvão approximately on the direct path from Ovruch to Atlacomulco de Fabela?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10665.0, + "via_waypoint_km": 18589.8, + "detour_km": 7924.9, + "detour_percent": 74.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ovruch", + " End: Atlacomulco de Fabela", + " Waypoint: Vila Galvão", + "Step 2: Calculate direct distance", + " Start → End: 10665.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18589.8 km", + "Step 4: Calculate detour", + " Detour = 18589.8 - 10665.0 = 7924.9 km", + " Detour % = (7924.9 / 10665.0) × 100 = 74.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 74.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 10.72081, + "lon": -61.56616, + "name": "Diego Martin" + }, + "end": { + "lat": 15.37794, + "lon": 73.90352, + "name": "Sancoale" + }, + "waypoint": { + "lat": 37.9625, + "lon": 23.61972, + "name": "Keratsíni" + }, + "question": "Is Keratsíni approximately on the direct path from Diego Martin to Sancoale?", + "ground_truth": { + "answer": true, + "direct_distance_km": 14317.2, + "via_waypoint_km": 14367.0, + "detour_km": 49.8, + "detour_percent": 0.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Diego Martin", + " End: Sancoale", + " Waypoint: Keratsíni", + "Step 2: Calculate direct distance", + " Start → End: 14317.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14367.0 km", + "Step 4: Calculate detour", + " Detour = 14367.0 - 14317.2 = 49.8 km", + " Detour % = (49.8 / 14317.2) × 100 = 0.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.3% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 48.82206, + "lon": 1.98677, + "name": "Les Clayes-sous-Bois" + }, + "end": { + "lat": -22.73206, + "lon": -64.33724, + "name": "Bermejo" + }, + "waypoint": { + "lat": 9.92638, + "lon": 78.15028, + "name": "Melmadai" + }, + "question": "Is Melmadai approximately on the direct path from Les Clayes-sous-Bois to Bermejo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10307.1, + "via_waypoint_km": 23949.3, + "detour_km": 13642.2, + "detour_percent": 132.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Les Clayes-sous-Bois", + " End: Bermejo", + " Waypoint: Melmadai", + "Step 2: Calculate direct distance", + " Start → End: 10307.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23949.3 km", + "Step 4: Calculate detour", + " Detour = 23949.3 - 10307.1 = 13642.2 km", + " Detour % = (13642.2 / 10307.1) × 100 = 132.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 132.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 31.5464, + "lon": 34.49514, + "name": "Bayt Lāhyā" + }, + "end": { + "lat": 39.90778, + "lon": 30.03667, + "name": "Bozüyük" + }, + "waypoint": { + "lat": 7.63527, + "lon": 4.18156, + "name": "Iwo" + }, + "question": "Is Iwo approximately on the direct path from Bayt Lāhyā to Bozüyük?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1012.7, + "via_waypoint_km": 8527.9, + "detour_km": 7515.2, + "detour_percent": 742.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bayt Lāhyā", + " End: Bozüyük", + " Waypoint: Iwo", + "Step 2: Calculate direct distance", + " Start → End: 1012.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 8527.9 km", + "Step 4: Calculate detour", + " Detour = 8527.9 - 1012.7 = 7515.2 km", + " Detour % = (7515.2 / 1012.7) × 100 = 742.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 742.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -22.54605, + "lon": 27.12507, + "name": "Palapye" + }, + "end": { + "lat": -34.58301, + "lon": 19.35048, + "name": "Gansbaai" + }, + "waypoint": { + "lat": 24.88963, + "lon": 74.62403, + "name": "Chittorgarh" + }, + "question": "Is Chittorgarh approximately on the direct path from Palapye to Gansbaai?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1537.4, + "via_waypoint_km": 16165.5, + "detour_km": 14628.0, + "detour_percent": 951.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Palapye", + " End: Gansbaai", + " Waypoint: Chittorgarh", + "Step 2: Calculate direct distance", + " Start → End: 1537.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16165.5 km", + "Step 4: Calculate detour", + " Detour = 16165.5 - 1537.4 = 14628.0 km", + " Detour % = (14628.0 / 1537.4) × 100 = 951.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 951.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 34.59677, + "lon": 135.69285, + "name": "Tatsuno-kita" + }, + "end": { + "lat": 21.135, + "lon": -101.74972, + "name": "Centro Familiar la Soledad" + }, + "waypoint": { + "lat": 50.64083, + "lon": 5.79353, + "name": "Herve" + }, + "question": "Is Herve approximately on the direct path from Tatsuno-kita to Centro Familiar la Soledad?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11345.4, + "via_waypoint_km": 18709.0, + "detour_km": 7363.6, + "detour_percent": 64.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tatsuno-kita", + " End: Centro Familiar la Soledad", + " Waypoint: Herve", + "Step 2: Calculate direct distance", + " Start → End: 11345.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18709.0 km", + "Step 4: Calculate detour", + " Detour = 18709.0 - 11345.4 = 7363.6 km", + " Detour % = (7363.6 / 11345.4) × 100 = 64.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 64.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 24.80209, + "lon": -107.39421, + "name": "Culiacán" + }, + "end": { + "lat": 40.3875, + "lon": 36.08111, + "name": "Turhal" + }, + "waypoint": { + "lat": 9.80168, + "lon": -74.39304, + "name": "Nueva Granada" + }, + "question": "Is Nueva Granada approximately on the direct path from Culiacán to Turhal?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11841.0, + "via_waypoint_km": 14845.7, + "detour_km": 3004.7, + "detour_percent": 25.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Culiacán", + " End: Turhal", + " Waypoint: Nueva Granada", + "Step 2: Calculate direct distance", + " Start → End: 11841.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14845.7 km", + "Step 4: Calculate detour", + " Detour = 14845.7 - 11841.0 = 3004.7 km", + " Detour % = (3004.7 / 11841.0) × 100 = 25.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 25.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 50.27969, + "lon": 57.20718, + "name": "Aktobe" + }, + "end": { + "lat": 6.7132, + "lon": 79.9026, + "name": "Panadura" + }, + "waypoint": { + "lat": 9.83847, + "lon": -83.86655, + "name": "Paraíso" + }, + "question": "Is Paraíso approximately on the direct path from Aktobe to Panadura?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5283.1, + "via_waypoint_km": 29785.2, + "detour_km": 24502.0, + "detour_percent": 463.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Aktobe", + " End: Panadura", + " Waypoint: Paraíso", + "Step 2: Calculate direct distance", + " Start → End: 5283.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 29785.2 km", + "Step 4: Calculate detour", + " Detour = 29785.2 - 5283.1 = 24502.0 km", + " Detour % = (24502.0 / 5283.1) × 100 = 463.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 463.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 23.21337, + "lon": 82.20232, + "name": "Manendragarh" + }, + "end": { + "lat": 13.64172, + "lon": 100.83272, + "name": "Ban Khlong Bang Sao Thong" + }, + "waypoint": { + "lat": 31.20176, + "lon": 29.91582, + "name": "Alexandria" + }, + "question": "Is Alexandria approximately on the direct path from Manendragarh to Ban Khlong Bang Sao Thong?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2231.6, + "via_waypoint_km": 12627.2, + "detour_km": 10395.6, + "detour_percent": 465.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Manendragarh", + " End: Ban Khlong Bang Sao Thong", + " Waypoint: Alexandria", + "Step 2: Calculate direct distance", + " Start → End: 2231.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12627.2 km", + "Step 4: Calculate detour", + " Detour = 12627.2 - 2231.6 = 10395.6 km", + " Detour % = (10395.6 / 2231.6) × 100 = 465.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 465.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 9.80168, + "lon": -74.39304, + "name": "Nueva Granada" + }, + "end": { + "lat": -23.87833, + "lon": -47.99722, + "name": "São Miguel Arcanjo" + }, + "waypoint": { + "lat": -6.9375, + "lon": 109.1325, + "name": "Adiwerna" + }, + "question": "Is Adiwerna approximately on the direct path from Nueva Granada to São Miguel Arcanjo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4717.0, + "via_waypoint_km": 35297.3, + "detour_km": 30580.2, + "detour_percent": 648.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Nueva Granada", + " End: São Miguel Arcanjo", + " Waypoint: Adiwerna", + "Step 2: Calculate direct distance", + " Start → End: 4717.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 35297.3 km", + "Step 4: Calculate detour", + " Detour = 35297.3 - 4717.0 = 30580.2 km", + " Detour % = (30580.2 / 4717.0) × 100 = 648.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 648.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.49271, + "lon": -0.25801, + "name": "Chiswick" + }, + "end": { + "lat": -12.23712, + "lon": 15.31697, + "name": "Londuimbali" + }, + "waypoint": { + "lat": 31.78336, + "lon": 35.23388, + "name": "East Jerusalem" + }, + "question": "Is East Jerusalem approximately on the direct path from Chiswick to Londuimbali?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7244.2, + "via_waypoint_km": 8952.5, + "detour_km": 1708.3, + "detour_percent": 23.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Chiswick", + " End: Londuimbali", + " Waypoint: East Jerusalem", + "Step 2: Calculate direct distance", + " Start → End: 7244.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 8952.5 km", + "Step 4: Calculate detour", + " Detour = 8952.5 - 7244.2 = 1708.3 km", + " Detour % = (1708.3 / 7244.2) × 100 = 23.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 23.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 1.67817, + "lon": -75.28466, + "name": "El Doncello" + }, + "end": { + "lat": 0.55667, + "lon": 31.80222, + "name": "Kasanda" + }, + "waypoint": { + "lat": -18.76969, + "lon": 46.04653, + "name": "Tsiroanomandidy" + }, + "question": "Is Tsiroanomandidy approximately on the direct path from El Doncello to Kasanda?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11904.7, + "via_waypoint_km": 16007.8, + "detour_km": 4103.1, + "detour_percent": 34.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: El Doncello", + " End: Kasanda", + " Waypoint: Tsiroanomandidy", + "Step 2: Calculate direct distance", + " Start → End: 11904.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16007.8 km", + "Step 4: Calculate detour", + " Detour = 16007.8 - 11904.7 = 4103.1 km", + " Detour % = (4103.1 / 11904.7) × 100 = 34.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 34.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -33.71816, + "lon": 151.11561, + "name": "Wahroonga" + }, + "end": { + "lat": -6.085, + "lon": 145.38667, + "name": "Goroka" + }, + "waypoint": { + "lat": 24.06703, + "lon": 115.61309, + "name": "Huacheng" + }, + "question": "Is Huacheng approximately on the direct path from Wahroonga to Goroka?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3128.9, + "via_waypoint_km": 12095.9, + "detour_km": 8967.0, + "detour_percent": 286.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Wahroonga", + " End: Goroka", + " Waypoint: Huacheng", + "Step 2: Calculate direct distance", + " Start → End: 3128.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12095.9 km", + "Step 4: Calculate detour", + " Detour = 12095.9 - 3128.9 = 8967.0 km", + " Detour % = (8967.0 / 3128.9) × 100 = 286.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 286.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -33.52314, + "lon": 151.31325, + "name": "Umina Beach" + }, + "end": { + "lat": 13.78775, + "lon": 100.49469, + "name": "Khwaeng Bang Plat" + }, + "waypoint": { + "lat": -0.82535, + "lon": 29.36451, + "name": "Katanda" + }, + "question": "Is Katanda approximately on the direct path from Umina Beach to Khwaeng Bang Plat?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7524.9, + "via_waypoint_km": 20856.8, + "detour_km": 13331.9, + "detour_percent": 177.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Umina Beach", + " End: Khwaeng Bang Plat", + " Waypoint: Katanda", + "Step 2: Calculate direct distance", + " Start → End: 7524.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20856.8 km", + "Step 4: Calculate detour", + " Detour = 20856.8 - 7524.9 = 13331.9 km", + " Detour % = (13331.9 / 7524.9) × 100 = 177.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 177.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 39.15561, + "lon": -84.45966, + "name": "Norwood" + }, + "end": { + "lat": 46.62553, + "lon": 32.72426, + "name": "Oleshky" + }, + "waypoint": { + "lat": 1.71594, + "lon": 44.77166, + "name": "Marka" + }, + "question": "Is Marka approximately on the direct path from Norwood to Oleshky?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8622.5, + "via_waypoint_km": 18262.9, + "detour_km": 9640.4, + "detour_percent": 111.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Norwood", + " End: Oleshky", + " Waypoint: Marka", + "Step 2: Calculate direct distance", + " Start → End: 8622.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18262.9 km", + "Step 4: Calculate detour", + " Detour = 18262.9 - 8622.5 = 9640.4 km", + " Detour % = (9640.4 / 8622.5) × 100 = 111.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 111.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 33.50199, + "lon": -112.17765, + "name": "Maryvale" + }, + "end": { + "lat": 36.20773, + "lon": -119.34734, + "name": "Tulare" + }, + "waypoint": { + "lat": 41.5908, + "lon": 12.82808, + "name": "Cisterna di Latina" + }, + "question": "Is Cisterna di Latina approximately on the direct path from Maryvale to Tulare?", + "ground_truth": { + "answer": false, + "direct_distance_km": 719.8, + "via_waypoint_km": 20043.2, + "detour_km": 19323.4, + "detour_percent": 2684.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Maryvale", + " End: Tulare", + " Waypoint: Cisterna di Latina", + "Step 2: Calculate direct distance", + " Start → End: 719.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20043.2 km", + "Step 4: Calculate detour", + " Detour = 20043.2 - 719.8 = 19323.4 km", + " Detour % = (19323.4 / 719.8) × 100 = 2684.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2684.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -1.9275, + "lon": 18.2881, + "name": "Inongo" + }, + "end": { + "lat": 15.81311, + "lon": -90.28896, + "name": "Chisec" + }, + "waypoint": { + "lat": -0.19337, + "lon": -74.78189, + "name": "Puerto Leguízamo" + }, + "question": "Is Puerto Leguízamo approximately on the direct path from Inongo to Chisec?", + "ground_truth": { + "answer": true, + "direct_distance_km": 12052.6, + "via_waypoint_km": 12810.9, + "detour_km": 758.2, + "detour_percent": 6.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Inongo", + " End: Chisec", + " Waypoint: Puerto Leguízamo", + "Step 2: Calculate direct distance", + " Start → End: 12052.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12810.9 km", + "Step 4: Calculate detour", + " Detour = 12810.9 - 12052.6 = 758.2 km", + " Detour % = (758.2 / 12052.6) × 100 = 6.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 6.3% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.84693, + "lon": -2.94966, + "name": "Berja" + }, + "end": { + "lat": -20.65028, + "lon": -41.90722, + "name": "Espera Feliz" + }, + "waypoint": { + "lat": 4.40367, + "lon": -74.3867, + "name": "Silvania" + }, + "question": "Is Silvania approximately on the direct path from Berja to Espera Feliz?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7587.3, + "via_waypoint_km": 12573.7, + "detour_km": 4986.3, + "detour_percent": 65.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Berja", + " End: Espera Feliz", + " Waypoint: Silvania", + "Step 2: Calculate direct distance", + " Start → End: 7587.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12573.7 km", + "Step 4: Calculate detour", + " Detour = 12573.7 - 7587.3 = 4986.3 km", + " Detour % = (4986.3 / 7587.3) × 100 = 65.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 65.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.35667, + "lon": 71.28472, + "name": "Rishton" + }, + "end": { + "lat": 42.17114, + "lon": -87.84451, + "name": "Deerfield" + }, + "waypoint": { + "lat": -24.86621, + "lon": 152.3479, + "name": "Bundaberg" + }, + "question": "Is Bundaberg approximately on the direct path from Rishton to Deerfield?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10600.8, + "via_waypoint_km": 25303.1, + "detour_km": 14702.3, + "detour_percent": 138.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Rishton", + " End: Deerfield", + " Waypoint: Bundaberg", + "Step 2: Calculate direct distance", + " Start → End: 10600.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25303.1 km", + "Step 4: Calculate detour", + " Detour = 25303.1 - 10600.8 = 14702.3 km", + " Detour % = (14702.3 / 10600.8) × 100 = 138.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 138.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 22.54721, + "lon": 114.13149, + "name": "Luohu District" + }, + "end": { + "lat": 41.81843, + "lon": -73.14372, + "name": "West Torrington" + }, + "waypoint": { + "lat": 43.74857, + "lon": -79.29864, + "name": "Wexford/Maryvale" + }, + "question": "Is Wexford/Maryvale approximately on the direct path from Luohu District to West Torrington?", + "ground_truth": { + "answer": true, + "direct_distance_km": 12818.9, + "via_waypoint_km": 13063.0, + "detour_km": 244.1, + "detour_percent": 1.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Luohu District", + " End: West Torrington", + " Waypoint: Wexford/Maryvale", + "Step 2: Calculate direct distance", + " Start → End: 12818.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13063.0 km", + "Step 4: Calculate detour", + " Detour = 13063.0 - 12818.9 = 244.1 km", + " Detour % = (244.1 / 12818.9) × 100 = 1.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1.9% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 21.46926, + "lon": 79.70151, + "name": "Chicholi" + }, + "end": { + "lat": 34.79922, + "lon": 48.51456, + "name": "Hamadān" + }, + "waypoint": { + "lat": -32.32889, + "lon": 115.83047, + "name": "Baldivis" + }, + "question": "Is Baldivis approximately on the direct path from Chicholi to Hamadān?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3379.0, + "via_waypoint_km": 17356.3, + "detour_km": 13977.3, + "detour_percent": 413.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Chicholi", + " End: Hamadān", + " Waypoint: Baldivis", + "Step 2: Calculate direct distance", + " Start → End: 3379.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17356.3 km", + "Step 4: Calculate detour", + " Detour = 17356.3 - 3379.0 = 13977.3 km", + " Detour % = (13977.3 / 3379.0) × 100 = 413.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 413.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.37814, + "lon": -3.70712, + "name": "Pradolongo" + }, + "end": { + "lat": 46.84986, + "lon": 9.53287, + "name": "Chur" + }, + "waypoint": { + "lat": 36.50361, + "lon": 7.44278, + "name": "Héliopolis" + }, + "question": "Is Héliopolis approximately on the direct path from Pradolongo to Chur?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1283.4, + "via_waypoint_km": 2224.7, + "detour_km": 941.3, + "detour_percent": 73.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Pradolongo", + " End: Chur", + " Waypoint: Héliopolis", + "Step 2: Calculate direct distance", + " Start → End: 1283.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 2224.7 km", + "Step 4: Calculate detour", + " Detour = 2224.7 - 1283.4 = 941.3 km", + " Detour % = (941.3 / 1283.4) × 100 = 73.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 73.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 21.22899, + "lon": 79.2398, + "name": "Kanhān" + }, + "end": { + "lat": 30.11405, + "lon": 51.52174, + "name": "Nūrābād" + }, + "waypoint": { + "lat": -27.18871, + "lon": 25.32931, + "name": "Schweizer-Reneke" + }, + "question": "Is Schweizer-Reneke approximately on the direct path from Kanhān to Nūrābād?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2939.0, + "via_waypoint_km": 14866.1, + "detour_km": 11927.1, + "detour_percent": 405.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kanhān", + " End: Nūrābād", + " Waypoint: Schweizer-Reneke", + "Step 2: Calculate direct distance", + " Start → End: 2939.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14866.1 km", + "Step 4: Calculate detour", + " Detour = 14866.1 - 2939.0 = 11927.1 km", + " Detour % = (11927.1 / 2939.0) × 100 = 405.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 405.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 31.5635, + "lon": 48.18958, + "name": "Sūsangerd" + }, + "end": { + "lat": 51.57917, + "lon": 5.18889, + "name": "Oisterwijk" + }, + "waypoint": { + "lat": 13.44861, + "lon": -16.68528, + "name": "Latri Kunda" + }, + "question": "Is Latri Kunda approximately on the direct path from Sūsangerd to Oisterwijk?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4127.8, + "via_waypoint_km": 11534.9, + "detour_km": 7407.1, + "detour_percent": 179.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sūsangerd", + " End: Oisterwijk", + " Waypoint: Latri Kunda", + "Step 2: Calculate direct distance", + " Start → End: 4127.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11534.9 km", + "Step 4: Calculate detour", + " Detour = 11534.9 - 4127.8 = 7407.1 km", + " Detour % = (7407.1 / 4127.8) × 100 = 179.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 179.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 0.91194, + "lon": 33.95111, + "name": "Butaleja" + }, + "end": { + "lat": -24.78864, + "lon": 31.07938, + "name": "Mafemani" + }, + "waypoint": { + "lat": 8.97054, + "lon": 37.76117, + "name": "Guder" + }, + "question": "Is Guder approximately on the direct path from Butaleja to Mafemani?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2874.5, + "via_waypoint_km": 4813.5, + "detour_km": 1939.0, + "detour_percent": 67.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Butaleja", + " End: Mafemani", + " Waypoint: Guder", + "Step 2: Calculate direct distance", + " Start → End: 2874.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 4813.5 km", + "Step 4: Calculate detour", + " Detour = 4813.5 - 2874.5 = 1939.0 km", + " Detour % = (1939.0 / 2874.5) × 100 = 67.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 67.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 12.57065, + "lon": 99.95876, + "name": "Hua Hin" + }, + "end": { + "lat": 31.82999, + "lon": 35.22539, + "name": "Bayt Ḩanīnā" + }, + "waypoint": { + "lat": -37.8318, + "lon": 140.77919, + "name": "Mount Gambier" + }, + "question": "Is Mount Gambier approximately on the direct path from Hua Hin to Bayt Ḩanīnā?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6899.4, + "via_waypoint_km": 20403.1, + "detour_km": 13503.7, + "detour_percent": 195.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Hua Hin", + " End: Bayt Ḩanīnā", + " Waypoint: Mount Gambier", + "Step 2: Calculate direct distance", + " Start → End: 6899.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20403.1 km", + "Step 4: Calculate detour", + " Detour = 20403.1 - 6899.4 = 13503.7 km", + " Detour % = (13503.7 / 6899.4) × 100 = 195.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 195.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 35.97108, + "lon": 6.87374, + "name": "Aïn Fakroun" + }, + "end": { + "lat": -3.67722, + "lon": -39.35028, + "name": "Umirim" + }, + "waypoint": { + "lat": 19.11136, + "lon": -72.70078, + "name": "Saint-Marc" + }, + "question": "Is Saint-Marc approximately on the direct path from Aïn Fakroun to Umirim?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6515.4, + "via_waypoint_km": 12302.0, + "detour_km": 5786.6, + "detour_percent": 88.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Aïn Fakroun", + " End: Umirim", + " Waypoint: Saint-Marc", + "Step 2: Calculate direct distance", + " Start → End: 6515.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12302.0 km", + "Step 4: Calculate detour", + " Detour = 12302.0 - 6515.4 = 5786.6 km", + " Detour % = (5786.6 / 6515.4) × 100 = 88.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 88.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -17.54234, + "lon": -65.83472, + "name": "Punata" + }, + "end": { + "lat": 17.4084, + "lon": 121.2785, + "name": "Tabuk" + }, + "waypoint": { + "lat": 22.5589, + "lon": 75.76543, + "name": "Mhow" + }, + "question": "Is Mhow approximately on the direct path from Punata to Tabuk?", + "ground_truth": { + "answer": true, + "direct_distance_km": 19260.5, + "via_waypoint_km": 20749.2, + "detour_km": 1488.6, + "detour_percent": 7.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Punata", + " End: Tabuk", + " Waypoint: Mhow", + "Step 2: Calculate direct distance", + " Start → End: 19260.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20749.2 km", + "Step 4: Calculate detour", + " Detour = 20749.2 - 19260.5 = 1488.6 km", + " Detour % = (1488.6 / 19260.5) × 100 = 7.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 7.7% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.25167, + "lon": 5.70694, + "name": "Weert" + }, + "end": { + "lat": 37.74722, + "lon": 126.48556, + "name": "Ganghwa-gun" + }, + "waypoint": { + "lat": 4.7466, + "lon": 9.6705, + "name": "Tombel" + }, + "question": "Is Tombel approximately on the direct path from Weert to Ganghwa-gun?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8567.0, + "via_waypoint_km": 17165.2, + "detour_km": 8598.2, + "detour_percent": 100.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Weert", + " End: Ganghwa-gun", + " Waypoint: Tombel", + "Step 2: Calculate direct distance", + " Start → End: 8567.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17165.2 km", + "Step 4: Calculate detour", + " Detour = 17165.2 - 8567.0 = 8598.2 km", + " Detour % = (8598.2 / 8567.0) × 100 = 100.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 100.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -23.93167, + "lon": -47.06833, + "name": "Juquitiba" + }, + "end": { + "lat": -31.64978, + "lon": -64.42972, + "name": "Alta Gracia" + }, + "waypoint": { + "lat": 32.85286, + "lon": 12.0612, + "name": "Al Jumayl" + }, + "question": "Is Al Jumayl approximately on the direct path from Juquitiba to Alta Gracia?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1907.9, + "via_waypoint_km": 19652.3, + "detour_km": 17744.4, + "detour_percent": 930.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Juquitiba", + " End: Alta Gracia", + " Waypoint: Al Jumayl", + "Step 2: Calculate direct distance", + " Start → End: 1907.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19652.3 km", + "Step 4: Calculate detour", + " Detour = 19652.3 - 1907.9 = 17744.4 km", + " Detour % = (17744.4 / 1907.9) × 100 = 930.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 930.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -33.7061, + "lon": 150.7094, + "name": "Cranebrook" + }, + "end": { + "lat": 33.93575, + "lon": -5.21328, + "name": "Aïn Taoujdat" + }, + "waypoint": { + "lat": 39.98567, + "lon": -0.04935, + "name": "Castelló de la Plana" + }, + "question": "Is Castelló de la Plana approximately on the direct path from Cranebrook to Aïn Taoujdat?", + "ground_truth": { + "answer": true, + "direct_distance_km": 17795.8, + "via_waypoint_km": 18148.3, + "detour_km": 352.5, + "detour_percent": 2.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Cranebrook", + " End: Aïn Taoujdat", + " Waypoint: Castelló de la Plana", + "Step 2: Calculate direct distance", + " Start → End: 17795.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18148.3 km", + "Step 4: Calculate detour", + " Detour = 18148.3 - 17795.8 = 352.5 km", + " Detour % = (352.5 / 17795.8) × 100 = 2.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2.0% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 15.24467, + "lon": 105.22908, + "name": "Phibun Mangsahan" + }, + "end": { + "lat": 22.45566, + "lon": 89.85584, + "name": "Morrelgonj" + }, + "waypoint": { + "lat": 52.13459, + "lon": -0.46632, + "name": "Bedford" + }, + "question": "Is Bedford approximately on the direct path from Phibun Mangsahan to Morrelgonj?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1803.8, + "via_waypoint_km": 17782.9, + "detour_km": 15979.1, + "detour_percent": 885.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Phibun Mangsahan", + " End: Morrelgonj", + " Waypoint: Bedford", + "Step 2: Calculate direct distance", + " Start → End: 1803.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17782.9 km", + "Step 4: Calculate detour", + " Detour = 17782.9 - 1803.8 = 15979.1 km", + " Detour % = (15979.1 / 1803.8) × 100 = 885.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 885.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 32.97866, + "lon": -115.53027, + "name": "Brawley" + }, + "end": { + "lat": -0.87944, + "lon": 30.26417, + "name": "Ntungamo" + }, + "waypoint": { + "lat": -13.06667, + "lon": 22.68333, + "name": "Chavuma" + }, + "question": "Is Chavuma approximately on the direct path from Brawley to Ntungamo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 14965.9, + "via_waypoint_km": 16834.9, + "detour_km": 1869.1, + "detour_percent": 12.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Brawley", + " End: Ntungamo", + " Waypoint: Chavuma", + "Step 2: Calculate direct distance", + " Start → End: 14965.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16834.9 km", + "Step 4: Calculate detour", + " Detour = 16834.9 - 14965.9 = 1869.1 km", + " Detour % = (1869.1 / 14965.9) × 100 = 12.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 12.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 34.49162, + "lon": -5.50846, + "name": "Souk et Tnine Jorf el Mellah" + }, + "end": { + "lat": 14.24362, + "lon": -16.27231, + "name": "Gandiaye" + }, + "waypoint": { + "lat": 41.11758, + "lon": 25.40587, + "name": "Komotiní" + }, + "question": "Is Komotiní approximately on the direct path from Souk et Tnine Jorf el Mellah to Gandiaye?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2497.4, + "via_waypoint_km": 7801.0, + "detour_km": 5303.6, + "detour_percent": 212.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Souk et Tnine Jorf el Mellah", + " End: Gandiaye", + " Waypoint: Komotiní", + "Step 2: Calculate direct distance", + " Start → End: 2497.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 7801.0 km", + "Step 4: Calculate detour", + " Detour = 7801.0 - 2497.4 = 5303.6 km", + " Detour % = (5303.6 / 2497.4) × 100 = 212.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 212.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 0.08213, + "lon": 34.72139, + "name": "Mbale" + }, + "end": { + "lat": -24.68941, + "lon": 33.25844, + "name": "Xilembene" + }, + "waypoint": { + "lat": 14.95186, + "lon": -16.8152, + "name": "Tivaouane" + }, + "question": "Is Tivaouane approximately on the direct path from Mbale to Xilembene?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2759.0, + "via_waypoint_km": 12890.9, + "detour_km": 10131.9, + "detour_percent": 367.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mbale", + " End: Xilembene", + " Waypoint: Tivaouane", + "Step 2: Calculate direct distance", + " Start → End: 2759.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12890.9 km", + "Step 4: Calculate detour", + " Detour = 12890.9 - 2759.0 = 10131.9 km", + " Detour % = (10131.9 / 2759.0) × 100 = 367.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 367.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 41.39593, + "lon": -72.89677, + "name": "Hamden" + }, + "end": { + "lat": -7.4289, + "lon": -79.50416, + "name": "San Pedro de Lloc" + }, + "waypoint": { + "lat": 2.43986, + "lon": -60.91146, + "name": "Mucajaí" + }, + "question": "Is Mucajaí approximately on the direct path from Hamden to San Pedro de Lloc?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5470.8, + "via_waypoint_km": 6831.3, + "detour_km": 1360.5, + "detour_percent": 24.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Hamden", + " End: San Pedro de Lloc", + " Waypoint: Mucajaí", + "Step 2: Calculate direct distance", + " Start → End: 5470.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 6831.3 km", + "Step 4: Calculate detour", + " Detour = 6831.3 - 5470.8 = 1360.5 km", + " Detour % = (1360.5 / 5470.8) × 100 = 24.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 24.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 26.42333, + "lon": 127.82139, + "name": "Ishikawa" + }, + "end": { + "lat": 9.22349, + "lon": 17.71018, + "name": "Maro" + }, + "waypoint": { + "lat": 39.96578, + "lon": -75.23764, + "name": "Haddington" + }, + "question": "Is Haddington approximately on the direct path from Ishikawa to Maro?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11503.2, + "via_waypoint_km": 21855.5, + "detour_km": 10352.3, + "detour_percent": 90.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ishikawa", + " End: Maro", + " Waypoint: Haddington", + "Step 2: Calculate direct distance", + " Start → End: 11503.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21855.5 km", + "Step 4: Calculate detour", + " Detour = 21855.5 - 11503.2 = 10352.3 km", + " Detour % = (10352.3 / 11503.2) × 100 = 90.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 90.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 6.65623, + "lon": -6.16609, + "name": "Gadouan" + }, + "end": { + "lat": 33.85782, + "lon": 73.76043, + "name": "Rawalakot" + }, + "waypoint": { + "lat": 7.76593, + "lon": -72.23576, + "name": "San Cristóbal" + }, + "question": "Is San Cristóbal approximately on the direct path from Gadouan to Rawalakot?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8667.1, + "via_waypoint_km": 21443.9, + "detour_km": 12776.8, + "detour_percent": 147.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Gadouan", + " End: Rawalakot", + " Waypoint: San Cristóbal", + "Step 2: Calculate direct distance", + " Start → End: 8667.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21443.9 km", + "Step 4: Calculate detour", + " Detour = 21443.9 - 8667.1 = 12776.8 km", + " Detour % = (12776.8 / 8667.1) × 100 = 147.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 147.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 25.77288, + "lon": -80.34783, + "name": "Fountainebleau" + }, + "end": { + "lat": 29.69808, + "lon": 108.43528, + "name": "Lianhu" + }, + "waypoint": { + "lat": 2.86218, + "lon": 30.84138, + "name": "Aru" + }, + "question": "Is Aru approximately on the direct path from Fountainebleau to Lianhu?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13776.3, + "via_waypoint_km": 20623.6, + "detour_km": 6847.2, + "detour_percent": 49.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Fountainebleau", + " End: Lianhu", + " Waypoint: Aru", + "Step 2: Calculate direct distance", + " Start → End: 13776.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20623.6 km", + "Step 4: Calculate detour", + " Detour = 20623.6 - 13776.3 = 6847.2 km", + " Detour % = (6847.2 / 13776.3) × 100 = 49.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 49.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -6.05716, + "lon": 15.10971, + "name": "Maquela do Zombo" + }, + "end": { + "lat": 43.45777, + "lon": -88.83733, + "name": "Beaver Dam" + }, + "waypoint": { + "lat": 5.83333, + "lon": 100.75, + "name": "Sik" + }, + "question": "Is Sik approximately on the direct path from Maquela do Zombo to Beaver Dam?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11594.7, + "via_waypoint_km": 24046.3, + "detour_km": 12451.6, + "detour_percent": 107.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Maquela do Zombo", + " End: Beaver Dam", + " Waypoint: Sik", + "Step 2: Calculate direct distance", + " Start → End: 11594.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24046.3 km", + "Step 4: Calculate detour", + " Detour = 24046.3 - 11594.7 = 12451.6 km", + " Detour % = (12451.6 / 11594.7) × 100 = 107.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 107.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 25.50484, + "lon": 69.5709, + "name": "Dhoro Naro" + }, + "end": { + "lat": -4.52889, + "lon": -39.62222, + "name": "Itatira" + }, + "waypoint": { + "lat": 51.63106, + "lon": -3.81898, + "name": "Briton Ferry" + }, + "question": "Is Briton Ferry approximately on the direct path from Dhoro Naro to Itatira?", + "ground_truth": { + "answer": false, + "direct_distance_km": 12148.7, + "via_waypoint_km": 13793.6, + "detour_km": 1644.9, + "detour_percent": 13.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Dhoro Naro", + " End: Itatira", + " Waypoint: Briton Ferry", + "Step 2: Calculate direct distance", + " Start → End: 12148.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13793.6 km", + "Step 4: Calculate detour", + " Detour = 13793.6 - 12148.7 = 1644.9 km", + " Detour % = (1644.9 / 12148.7) × 100 = 13.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 13.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 39.28065, + "lon": -80.34453, + "name": "Clarksburg" + }, + "end": { + "lat": 35.90942, + "lon": 14.42566, + "name": "Mosta" + }, + "waypoint": { + "lat": -16.37767, + "lon": -60.96472, + "name": "San Ignacio de Velasco" + }, + "question": "Is San Ignacio de Velasco approximately on the direct path from Clarksburg to Mosta?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7937.8, + "via_waypoint_km": 16320.6, + "detour_km": 8382.9, + "detour_percent": 105.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Clarksburg", + " End: Mosta", + " Waypoint: San Ignacio de Velasco", + "Step 2: Calculate direct distance", + " Start → End: 7937.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16320.6 km", + "Step 4: Calculate detour", + " Detour = 16320.6 - 7937.8 = 8382.9 km", + " Detour % = (8382.9 / 7937.8) × 100 = 105.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 105.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 37.73604, + "lon": -120.93549, + "name": "Riverbank" + }, + "end": { + "lat": 9.19992, + "lon": -73.54274, + "name": "Curumaní" + }, + "waypoint": { + "lat": 50.0502, + "lon": 18.47626, + "name": "Radlin" + }, + "question": "Is Radlin approximately on the direct path from Riverbank to Curumaní?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5695.4, + "via_waypoint_km": 18842.5, + "detour_km": 13147.2, + "detour_percent": 230.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Riverbank", + " End: Curumaní", + " Waypoint: Radlin", + "Step 2: Calculate direct distance", + " Start → End: 5695.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18842.5 km", + "Step 4: Calculate detour", + " Detour = 18842.5 - 5695.4 = 13147.2 km", + " Detour % = (13147.2 / 5695.4) × 100 = 230.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 230.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 8.35122, + "lon": -62.64102, + "name": "Ciudad Guayana" + }, + "end": { + "lat": 41.13722, + "lon": 129.49472, + "name": "Myŏnggan-dong" + }, + "waypoint": { + "lat": -24.58398, + "lon": 30.31684, + "name": "Praktiseer" + }, + "question": "Is Praktiseer approximately on the direct path from Ciudad Guayana to Myŏnggan-dong?", + "ground_truth": { + "answer": false, + "direct_distance_km": 14373.9, + "via_waypoint_km": 23200.7, + "detour_km": 8826.7, + "detour_percent": 61.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ciudad Guayana", + " End: Myŏnggan-dong", + " Waypoint: Praktiseer", + "Step 2: Calculate direct distance", + " Start → End: 14373.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23200.7 km", + "Step 4: Calculate detour", + " Detour = 23200.7 - 14373.9 = 8826.7 km", + " Detour % = (8826.7 / 14373.9) × 100 = 61.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 61.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 45.69542, + "lon": 4.79316, + "name": "Saint-Genis-Laval" + }, + "end": { + "lat": 40.9248, + "lon": 14.45612, + "name": "Marigliano" + }, + "waypoint": { + "lat": 48.8125, + "lon": 103.53472, + "name": "Bulgan" + }, + "question": "Is Bulgan approximately on the direct path from Saint-Genis-Laval to Marigliano?", + "ground_truth": { + "answer": false, + "direct_distance_km": 943.8, + "via_waypoint_km": 13564.5, + "detour_km": 12620.7, + "detour_percent": 1337.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Saint-Genis-Laval", + " End: Marigliano", + " Waypoint: Bulgan", + "Step 2: Calculate direct distance", + " Start → End: 943.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13564.5 km", + "Step 4: Calculate detour", + " Detour = 13564.5 - 943.8 = 12620.7 km", + " Detour % = (12620.7 / 943.8) × 100 = 1337.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1337.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 28.24168, + "lon": 33.6222, + "name": "El-Tor" + }, + "end": { + "lat": -2.4036, + "lon": 29.0059, + "name": "Shangi" + }, + "waypoint": { + "lat": -2.7249, + "lon": 18.14756, + "name": "Kutu" + }, + "question": "Is Kutu approximately on the direct path from El-Tor to Shangi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3443.1, + "via_waypoint_km": 5026.7, + "detour_km": 1583.6, + "detour_percent": 46.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: El-Tor", + " End: Shangi", + " Waypoint: Kutu", + "Step 2: Calculate direct distance", + " Start → End: 3443.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 5026.7 km", + "Step 4: Calculate detour", + " Detour = 5026.7 - 3443.1 = 1583.6 km", + " Detour % = (1583.6 / 3443.1) × 100 = 46.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 46.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.12232, + "lon": 0.89865, + "name": "Mazouna" + }, + "end": { + "lat": 56.99918, + "lon": 86.15518, + "name": "Asino" + }, + "waypoint": { + "lat": 43.78329, + "lon": -79.35364, + "name": "Don Valley Village" + }, + "question": "Is Don Valley Village approximately on the direct path from Mazouna to Asino?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6442.8, + "via_waypoint_km": 15350.1, + "detour_km": 8907.3, + "detour_percent": 138.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mazouna", + " End: Asino", + " Waypoint: Don Valley Village", + "Step 2: Calculate direct distance", + " Start → End: 6442.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15350.1 km", + "Step 4: Calculate detour", + " Detour = 15350.1 - 6442.8 = 8907.3 km", + " Detour % = (8907.3 / 6442.8) × 100 = 138.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 138.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 2.64644, + "lon": -75.97269, + "name": "Belalcázar" + }, + "end": { + "lat": 10.60156, + "lon": -66.93293, + "name": "La Guaira" + }, + "waypoint": { + "lat": 27.04514, + "lon": 31.31845, + "name": "Abū Tīj" + }, + "question": "Is Abū Tīj approximately on the direct path from Belalcázar to La Guaira?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1333.3, + "via_waypoint_km": 21849.4, + "detour_km": 20516.1, + "detour_percent": 1538.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Belalcázar", + " End: La Guaira", + " Waypoint: Abū Tīj", + "Step 2: Calculate direct distance", + " Start → End: 1333.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21849.4 km", + "Step 4: Calculate detour", + " Detour = 21849.4 - 1333.3 = 20516.1 km", + " Detour % = (20516.1 / 1333.3) × 100 = 1538.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1538.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 35.17483, + "lon": 135.03101, + "name": "Tamba" + }, + "end": { + "lat": 35.6581, + "lon": 139.7515, + "name": "Minato City" + }, + "waypoint": { + "lat": 41.49226, + "lon": 2.03305, + "name": "Rubí" + }, + "question": "Is Rubí approximately on the direct path from Tamba to Minato City?", + "ground_truth": { + "answer": false, + "direct_distance_km": 431.1, + "via_waypoint_km": 20652.2, + "detour_km": 20221.1, + "detour_percent": 4690.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tamba", + " End: Minato City", + " Waypoint: Rubí", + "Step 2: Calculate direct distance", + " Start → End: 431.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20652.2 km", + "Step 4: Calculate detour", + " Detour = 20652.2 - 431.1 = 20221.1 km", + " Detour % = (20221.1 / 431.1) × 100 = 4690.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 4690.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -11.01472, + "lon": -37.20639, + "name": "São Cristóvão" + }, + "end": { + "lat": -17.13806, + "lon": -49.98806, + "name": "Indiara" + }, + "waypoint": { + "lat": -10.19156, + "lon": 15.43408, + "name": "Santa Clara" + }, + "question": "Is Santa Clara approximately on the direct path from São Cristóvão to Indiara?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1536.7, + "via_waypoint_km": 12827.9, + "detour_km": 11291.2, + "detour_percent": 734.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: São Cristóvão", + " End: Indiara", + " Waypoint: Santa Clara", + "Step 2: Calculate direct distance", + " Start → End: 1536.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12827.9 km", + "Step 4: Calculate detour", + " Detour = 12827.9 - 1536.7 = 11291.2 km", + " Detour % = (11291.2 / 1536.7) × 100 = 734.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 734.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 10.18634, + "lon": -67.45935, + "name": "Cagua" + }, + "end": { + "lat": 23.77617, + "lon": 86.33028, + "name": "Sijua" + }, + "waypoint": { + "lat": 60.0122, + "lon": 30.20897, + "name": "Untolovo" + }, + "question": "Is Untolovo approximately on the direct path from Cagua to Sijua?", + "ground_truth": { + "answer": true, + "direct_distance_km": 15284.7, + "via_waypoint_km": 15323.7, + "detour_km": 39.0, + "detour_percent": 0.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Cagua", + " End: Sijua", + " Waypoint: Untolovo", + "Step 2: Calculate direct distance", + " Start → End: 15284.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15323.7 km", + "Step 4: Calculate detour", + " Detour = 15323.7 - 15284.7 = 39.0 km", + " Detour % = (39.0 / 15284.7) × 100 = 0.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.3% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -3.45, + "lon": 33.95, + "name": "Lalago" + }, + "end": { + "lat": -32.77477, + "lon": 26.63376, + "name": "Fort Beaufort" + }, + "waypoint": { + "lat": -30.29626, + "lon": 153.11351, + "name": "Coffs Harbour" + }, + "question": "Is Coffs Harbour approximately on the direct path from Lalago to Fort Beaufort?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3348.6, + "via_waypoint_km": 23579.2, + "detour_km": 20230.7, + "detour_percent": 604.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Lalago", + " End: Fort Beaufort", + " Waypoint: Coffs Harbour", + "Step 2: Calculate direct distance", + " Start → End: 3348.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23579.2 km", + "Step 4: Calculate detour", + " Detour = 23579.2 - 3348.6 = 20230.7 km", + " Detour % = (20230.7 / 3348.6) × 100 = 604.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 604.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 43.66663, + "lon": -92.97464, + "name": "Austin" + }, + "end": { + "lat": 48.61135, + "lon": 2.30593, + "name": "Brétigny-sur-Orge" + }, + "waypoint": { + "lat": -12.86667, + "lon": -72.71667, + "name": "Santa Ana" + }, + "question": "Is Santa Ana approximately on the direct path from Austin to Brétigny-sur-Orge?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6861.4, + "via_waypoint_km": 16624.6, + "detour_km": 9763.2, + "detour_percent": 142.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Austin", + " End: Brétigny-sur-Orge", + " Waypoint: Santa Ana", + "Step 2: Calculate direct distance", + " Start → End: 6861.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16624.6 km", + "Step 4: Calculate detour", + " Detour = 16624.6 - 6861.4 = 9763.2 km", + " Detour % = (9763.2 / 6861.4) × 100 = 142.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 142.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -9.54015, + "lon": 16.34096, + "name": "Malanje" + }, + "end": { + "lat": 27.44805, + "lon": 67.79654, + "name": "Warah" + }, + "waypoint": { + "lat": -21.60333, + "lon": -48.36583, + "name": "Matão" + }, + "question": "Is Matão approximately on the direct path from Malanje to Warah?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6898.0, + "via_waypoint_km": 20606.8, + "detour_km": 13708.8, + "detour_percent": 198.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Malanje", + " End: Warah", + " Waypoint: Matão", + "Step 2: Calculate direct distance", + " Start → End: 6898.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20606.8 km", + "Step 4: Calculate detour", + " Detour = 20606.8 - 6898.0 = 13708.8 km", + " Detour % = (13708.8 / 6898.0) × 100 = 198.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 198.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -17.82772, + "lon": 31.05337, + "name": "Harare" + }, + "end": { + "lat": 26.34992, + "lon": 84.87086, + "name": "Kesariyā" + }, + "waypoint": { + "lat": 51.96056, + "lon": 85.91892, + "name": "Gorno-Altaysk" + }, + "question": "Is Gorno-Altaysk approximately on the direct path from Harare to Kesariyā?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7608.4, + "via_waypoint_km": 12241.1, + "detour_km": 4632.7, + "detour_percent": 60.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Harare", + " End: Kesariyā", + " Waypoint: Gorno-Altaysk", + "Step 2: Calculate direct distance", + " Start → End: 7608.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12241.1 km", + "Step 4: Calculate detour", + " Detour = 12241.1 - 7608.4 = 4632.7 km", + " Detour % = (4632.7 / 7608.4) × 100 = 60.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 60.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 32.80583, + "lon": 35.16895, + "name": "Shefar‘am" + }, + "end": { + "lat": 18.11692, + "lon": 83.41148, + "name": "Vizianagaram" + }, + "waypoint": { + "lat": 51.41655, + "lon": 21.96939, + "name": "Puławy" + }, + "question": "Is Puławy approximately on the direct path from Shefar‘am to Vizianagaram?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5063.1, + "via_waypoint_km": 8805.6, + "detour_km": 3742.5, + "detour_percent": 73.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Shefar‘am", + " End: Vizianagaram", + " Waypoint: Puławy", + "Step 2: Calculate direct distance", + " Start → End: 5063.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 8805.6 km", + "Step 4: Calculate detour", + " Detour = 8805.6 - 5063.1 = 3742.5 km", + " Detour % = (3742.5 / 5063.1) × 100 = 73.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 73.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 21.71361, + "lon": 73.03231, + "name": "Jhadeshwar" + }, + "end": { + "lat": -6.87666, + "lon": 112.37606, + "name": "Paciran" + }, + "waypoint": { + "lat": 25.82176, + "lon": -80.24116, + "name": "Brownsville" + }, + "question": "Is Brownsville approximately on the direct path from Jhadeshwar to Paciran?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5338.3, + "via_waypoint_km": 31514.2, + "detour_km": 26175.9, + "detour_percent": 490.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Jhadeshwar", + " End: Paciran", + " Waypoint: Brownsville", + "Step 2: Calculate direct distance", + " Start → End: 5338.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 31514.2 km", + "Step 4: Calculate detour", + " Detour = 31514.2 - 5338.3 = 26175.9 km", + " Detour % = (26175.9 / 5338.3) × 100 = 490.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 490.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -45.87416, + "lon": 170.50361, + "name": "Dunedin" + }, + "end": { + "lat": 8.39638, + "lon": 77.00331, + "name": "Venganoor" + }, + "waypoint": { + "lat": -25.46722, + "lon": -50.65111, + "name": "Irati" + }, + "question": "Is Irati approximately on the direct path from Dunedin to Venganoor?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10946.6, + "via_waypoint_km": 25235.7, + "detour_km": 14289.1, + "detour_percent": 130.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Dunedin", + " End: Venganoor", + " Waypoint: Irati", + "Step 2: Calculate direct distance", + " Start → End: 10946.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25235.7 km", + "Step 4: Calculate detour", + " Detour = 25235.7 - 10946.6 = 14289.1 km", + " Detour % = (14289.1 / 10946.6) × 100 = 130.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 130.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 38.58055, + "lon": -0.10321, + "name": "l'Alfàs del Pi" + }, + "end": { + "lat": 57.7584, + "lon": 16.63733, + "name": "Västervik" + }, + "waypoint": { + "lat": 49.70713, + "lon": 72.59321, + "name": "Shakhtinsk" + }, + "question": "Is Shakhtinsk approximately on the direct path from l'Alfàs del Pi to Västervik?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2452.3, + "via_waypoint_km": 9371.9, + "detour_km": 6919.5, + "detour_percent": 282.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: l'Alfàs del Pi", + " End: Västervik", + " Waypoint: Shakhtinsk", + "Step 2: Calculate direct distance", + " Start → End: 2452.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9371.9 km", + "Step 4: Calculate detour", + " Detour = 9371.9 - 2452.3 = 6919.5 km", + " Detour % = (6919.5 / 2452.3) × 100 = 282.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 282.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -4.78944, + "lon": -40.06333, + "name": "Monsenhor Tabosa" + }, + "end": { + "lat": -21.54, + "lon": -43.01056, + "name": "São João Nepomuceno" + }, + "waypoint": { + "lat": 29.10408, + "lon": 70.32969, + "name": "Rajanpur" + }, + "question": "Is Rajanpur approximately on the direct path from Monsenhor Tabosa to São João Nepomuceno?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1889.5, + "via_waypoint_km": 25592.5, + "detour_km": 23703.0, + "detour_percent": 1254.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Monsenhor Tabosa", + " End: São João Nepomuceno", + " Waypoint: Rajanpur", + "Step 2: Calculate direct distance", + " Start → End: 1889.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25592.5 km", + "Step 4: Calculate detour", + " Detour = 25592.5 - 1889.5 = 23703.0 km", + " Detour % = (23703.0 / 1889.5) × 100 = 1254.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1254.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 16.74385, + "lon": 77.98597, + "name": "Mahbūbnagar" + }, + "end": { + "lat": -22.96611, + "lon": -56.54066, + "name": "Yby Yaú" + }, + "waypoint": { + "lat": 45.43687, + "lon": 28.05028, + "name": "Galaţi" + }, + "question": "Is Galaţi approximately on the direct path from Mahbūbnagar to Yby Yaú?", + "ground_truth": { + "answer": false, + "direct_distance_km": 15227.5, + "via_waypoint_km": 17003.3, + "detour_km": 1775.7, + "detour_percent": 11.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mahbūbnagar", + " End: Yby Yaú", + " Waypoint: Galaţi", + "Step 2: Calculate direct distance", + " Start → End: 15227.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17003.3 km", + "Step 4: Calculate detour", + " Detour = 17003.3 - 15227.5 = 1775.7 km", + " Detour % = (1775.7 / 15227.5) × 100 = 11.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 11.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.82593, + "lon": -74.20903, + "name": "Montclair" + }, + "end": { + "lat": 39.49093, + "lon": 2.89108, + "name": "Llucmajor" + }, + "waypoint": { + "lat": 1.43806, + "lon": 103.82667, + "name": "Sungai Simpang" + }, + "question": "Is Sungai Simpang approximately on the direct path from Montclair to Llucmajor?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6326.8, + "via_waypoint_km": 26152.0, + "detour_km": 19825.2, + "detour_percent": 313.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Montclair", + " End: Llucmajor", + " Waypoint: Sungai Simpang", + "Step 2: Calculate direct distance", + " Start → End: 6326.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26152.0 km", + "Step 4: Calculate detour", + " Detour = 26152.0 - 6326.8 = 19825.2 km", + " Detour % = (19825.2 / 6326.8) × 100 = 313.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 313.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.99417, + "lon": 4.20972, + "name": "Naaldwijk" + }, + "end": { + "lat": 46.59271, + "lon": -112.03611, + "name": "Helena" + }, + "waypoint": { + "lat": -32.06003, + "lon": 115.955, + "name": "Thornlie" + }, + "question": "Is Thornlie approximately on the direct path from Naaldwijk to Helena?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7487.5, + "via_waypoint_km": 29860.7, + "detour_km": 22373.2, + "detour_percent": 298.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Naaldwijk", + " End: Helena", + " Waypoint: Thornlie", + "Step 2: Calculate direct distance", + " Start → End: 7487.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 29860.7 km", + "Step 4: Calculate detour", + " Detour = 29860.7 - 7487.5 = 22373.2 km", + " Detour % = (22373.2 / 7487.5) × 100 = 298.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 298.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 37.22417, + "lon": 67.27833, + "name": "Tirmiz" + }, + "end": { + "lat": -21.72028, + "lon": -51.01889, + "name": "Lucélia" + }, + "waypoint": { + "lat": 46.23424, + "lon": 6.08025, + "name": "Meyrin" + }, + "question": "Is Meyrin approximately on the direct path from Tirmiz to Lucélia?", + "ground_truth": { + "answer": true, + "direct_distance_km": 13906.9, + "via_waypoint_km": 14533.4, + "detour_km": 626.5, + "detour_percent": 4.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tirmiz", + " End: Lucélia", + " Waypoint: Meyrin", + "Step 2: Calculate direct distance", + " Start → End: 13906.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14533.4 km", + "Step 4: Calculate detour", + " Detour = 14533.4 - 13906.9 = 626.5 km", + " Detour % = (626.5 / 13906.9) × 100 = 4.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 4.5% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 5.42164, + "lon": -75.70318, + "name": "Riosucio" + }, + "end": { + "lat": 8.69625, + "lon": -69.20832, + "name": "Guanarito" + }, + "waypoint": { + "lat": 40.10056, + "lon": 124.39806, + "name": "Sinŭiju" + }, + "question": "Is Sinŭiju approximately on the direct path from Riosucio to Guanarito?", + "ground_truth": { + "answer": false, + "direct_distance_km": 803.8, + "via_waypoint_km": 28962.8, + "detour_km": 28159.0, + "detour_percent": 3503.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Riosucio", + " End: Guanarito", + " Waypoint: Sinŭiju", + "Step 2: Calculate direct distance", + " Start → End: 803.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 28962.8 km", + "Step 4: Calculate detour", + " Detour = 28962.8 - 803.8 = 28159.0 km", + " Detour % = (28159.0 / 803.8) × 100 = 3503.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 3503.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 47.95514, + "lon": 8.49707, + "name": "Donaueschingen" + }, + "end": { + "lat": 52.63167, + "lon": 4.74861, + "name": "Alkmaar" + }, + "waypoint": { + "lat": -25.39258, + "lon": -57.35421, + "name": "Itauguá" + }, + "question": "Is Itauguá approximately on the direct path from Donaueschingen to Alkmaar?", + "ground_truth": { + "answer": false, + "direct_distance_km": 584.0, + "via_waypoint_km": 21004.9, + "detour_km": 20420.8, + "detour_percent": 3496.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Donaueschingen", + " End: Alkmaar", + " Waypoint: Itauguá", + "Step 2: Calculate direct distance", + " Start → End: 584.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21004.9 km", + "Step 4: Calculate detour", + " Detour = 21004.9 - 584.0 = 20420.8 km", + " Detour % = (20420.8 / 584.0) × 100 = 3496.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 3496.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 39.49139, + "lon": -0.46349, + "name": "Manises" + }, + "end": { + "lat": 40.59711, + "lon": -3.49743, + "name": "Algete" + }, + "waypoint": { + "lat": 43.95611, + "lon": 125.46611, + "name": "Xinglongshan" + }, + "question": "Is Xinglongshan approximately on the direct path from Manises to Algete?", + "ground_truth": { + "answer": false, + "direct_distance_km": 286.0, + "via_waypoint_km": 18588.8, + "detour_km": 18302.8, + "detour_percent": 6399.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Manises", + " End: Algete", + " Waypoint: Xinglongshan", + "Step 2: Calculate direct distance", + " Start → End: 286.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18588.8 km", + "Step 4: Calculate detour", + " Detour = 18588.8 - 286.0 = 18302.8 km", + " Detour % = (18302.8 / 286.0) × 100 = 6399.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 6399.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 34.49162, + "lon": -5.50846, + "name": "Souk et Tnine Jorf el Mellah" + }, + "end": { + "lat": 40.49874, + "lon": 22.92617, + "name": "Peraía" + }, + "waypoint": { + "lat": 38.14991, + "lon": -79.0732, + "name": "Staunton" + }, + "question": "Is Staunton approximately on the direct path from Souk et Tnine Jorf el Mellah to Peraía?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2583.5, + "via_waypoint_km": 14645.1, + "detour_km": 12061.6, + "detour_percent": 466.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Souk et Tnine Jorf el Mellah", + " End: Peraía", + " Waypoint: Staunton", + "Step 2: Calculate direct distance", + " Start → End: 2583.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14645.1 km", + "Step 4: Calculate detour", + " Detour = 14645.1 - 2583.5 = 12061.6 km", + " Detour % = (12061.6 / 2583.5) × 100 = 466.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 466.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.51494, + "lon": 7.466, + "name": "Dortmund" + }, + "end": { + "lat": 52.76588, + "lon": -0.88693, + "name": "Melton Mowbray" + }, + "waypoint": { + "lat": 50.51627, + "lon": 30.50636, + "name": "Obolon" + }, + "question": "Is Obolon approximately on the direct path from Dortmund to Melton Mowbray?", + "ground_truth": { + "answer": false, + "direct_distance_km": 586.4, + "via_waypoint_km": 3772.1, + "detour_km": 3185.7, + "detour_percent": 543.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Dortmund", + " End: Melton Mowbray", + " Waypoint: Obolon", + "Step 2: Calculate direct distance", + " Start → End: 586.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 3772.1 km", + "Step 4: Calculate detour", + " Detour = 3772.1 - 586.4 = 3185.7 km", + " Detour % = (3185.7 / 586.4) × 100 = 543.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 543.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 19.14256, + "lon": 82.32536, + "name": "Kotapārh" + }, + "end": { + "lat": 40.69149, + "lon": -73.53346, + "name": "North Bellmore" + }, + "waypoint": { + "lat": 47.17941, + "lon": -1.62468, + "name": "Bouguenais" + }, + "question": "Is Bouguenais approximately on the direct path from Kotapārh to North Bellmore?", + "ground_truth": { + "answer": true, + "direct_distance_km": 12909.2, + "via_waypoint_km": 13608.8, + "detour_km": 699.6, + "detour_percent": 5.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kotapārh", + " End: North Bellmore", + " Waypoint: Bouguenais", + "Step 2: Calculate direct distance", + " Start → End: 12909.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13608.8 km", + "Step 4: Calculate detour", + " Detour = 13608.8 - 12909.2 = 699.6 km", + " Detour % = (699.6 / 12909.2) × 100 = 5.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 5.4% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 16.03232, + "lon": 120.26904, + "name": "Binmaley" + }, + "end": { + "lat": 35.92989, + "lon": 0.82871, + "name": "Djidiouia" + }, + "waypoint": { + "lat": 51.36973, + "lon": 10.87011, + "name": "Sondershausen" + }, + "question": "Is Sondershausen approximately on the direct path from Binmaley to Djidiouia?", + "ground_truth": { + "answer": true, + "direct_distance_km": 11423.7, + "via_waypoint_km": 11796.0, + "detour_km": 372.3, + "detour_percent": 3.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Binmaley", + " End: Djidiouia", + " Waypoint: Sondershausen", + "Step 2: Calculate direct distance", + " Start → End: 11423.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11796.0 km", + "Step 4: Calculate detour", + " Detour = 11796.0 - 11423.7 = 372.3 km", + " Detour % = (372.3 / 11423.7) × 100 = 3.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 3.3% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 7.7899, + "lon": 5.7117, + "name": "Ode" + }, + "end": { + "lat": 34.03313, + "lon": -5.00028, + "name": "Fes" + }, + "waypoint": { + "lat": 54.77826, + "lon": 32.05088, + "name": "Smolensk" + }, + "question": "Is Smolensk approximately on the direct path from Ode to Fes?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3117.9, + "via_waypoint_km": 9393.5, + "detour_km": 6275.6, + "detour_percent": 201.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ode", + " End: Fes", + " Waypoint: Smolensk", + "Step 2: Calculate direct distance", + " Start → End: 3117.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9393.5 km", + "Step 4: Calculate detour", + " Detour = 9393.5 - 3117.9 = 6275.6 km", + " Detour % = (6275.6 / 3117.9) × 100 = 201.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 201.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 55.87035, + "lon": 12.35737, + "name": "Allerød" + }, + "end": { + "lat": 20.14085, + "lon": -101.18251, + "name": "Uriangato" + }, + "waypoint": { + "lat": -32.23013, + "lon": 115.78128, + "name": "Kwinana" + }, + "question": "Is Kwinana approximately on the direct path from Allerød to Uriangato?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9531.5, + "via_waypoint_km": 29843.1, + "detour_km": 20311.6, + "detour_percent": 213.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Allerød", + " End: Uriangato", + " Waypoint: Kwinana", + "Step 2: Calculate direct distance", + " Start → End: 9531.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 29843.1 km", + "Step 4: Calculate detour", + " Detour = 29843.1 - 9531.5 = 20311.6 km", + " Detour % = (20311.6 / 9531.5) × 100 = 213.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 213.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 48.2, + "lon": 11.36667, + "name": "Gröbenzell" + }, + "end": { + "lat": -29.58028, + "lon": -51.08528, + "name": "Dois Irmãos" + }, + "waypoint": { + "lat": -35.28346, + "lon": 149.12807, + "name": "Canberra" + }, + "question": "Is Canberra approximately on the direct path from Gröbenzell to Dois Irmãos?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10645.1, + "via_waypoint_km": 28782.9, + "detour_km": 18137.8, + "detour_percent": 170.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Gröbenzell", + " End: Dois Irmãos", + " Waypoint: Canberra", + "Step 2: Calculate direct distance", + " Start → End: 10645.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 28782.9 km", + "Step 4: Calculate detour", + " Detour = 28782.9 - 10645.1 = 18137.8 km", + " Detour % = (18137.8 / 10645.1) × 100 = 170.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 170.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.75898, + "lon": 10.01704, + "name": "La Mornaghia" + }, + "end": { + "lat": -22.76417, + "lon": -43.39944, + "name": "Belford Roxo" + }, + "waypoint": { + "lat": 40.03116, + "lon": -6.08845, + "name": "Plasencia" + }, + "question": "Is Plasencia approximately on the direct path from La Mornaghia to Belford Roxo?", + "ground_truth": { + "answer": true, + "direct_distance_km": 8667.9, + "via_waypoint_km": 9429.2, + "detour_km": 761.3, + "detour_percent": 8.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: La Mornaghia", + " End: Belford Roxo", + " Waypoint: Plasencia", + "Step 2: Calculate direct distance", + " Start → End: 8667.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9429.2 km", + "Step 4: Calculate detour", + " Detour = 9429.2 - 8667.9 = 761.3 km", + " Detour % = (761.3 / 8667.9) × 100 = 8.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 8.8% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -27.75431, + "lon": 26.64382, + "name": "Allanridge" + }, + "end": { + "lat": 33.74446, + "lon": -118.38702, + "name": "Rancho Palos Verdes" + }, + "waypoint": { + "lat": 51.19188, + "lon": 5.11662, + "name": "Mol" + }, + "question": "Is Mol approximately on the direct path from Allanridge to Rancho Palos Verdes?", + "ground_truth": { + "answer": true, + "direct_distance_km": 16624.4, + "via_waypoint_km": 18107.8, + "detour_km": 1483.4, + "detour_percent": 8.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Allanridge", + " End: Rancho Palos Verdes", + " Waypoint: Mol", + "Step 2: Calculate direct distance", + " Start → End: 16624.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18107.8 km", + "Step 4: Calculate detour", + " Detour = 18107.8 - 16624.4 = 1483.4 km", + " Detour % = (1483.4 / 16624.4) × 100 = 8.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 8.9% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -28.28756, + "lon": 26.14996, + "name": "Bultfontein" + }, + "end": { + "lat": 3.98333, + "lon": 13.18333, + "name": "Abong Mbang" + }, + "waypoint": { + "lat": 20.09473, + "lon": 73.92816, + "name": "Ozar" + }, + "question": "Is Ozar approximately on the direct path from Bultfontein to Abong Mbang?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3847.4, + "via_waypoint_km": 14240.4, + "detour_km": 10393.0, + "detour_percent": 270.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bultfontein", + " End: Abong Mbang", + " Waypoint: Ozar", + "Step 2: Calculate direct distance", + " Start → End: 3847.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14240.4 km", + "Step 4: Calculate detour", + " Detour = 14240.4 - 3847.4 = 10393.0 km", + " Detour % = (10393.0 / 3847.4) × 100 = 270.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 270.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 25.51704, + "lon": 91.26484, + "name": "Nongstoin" + }, + "end": { + "lat": 7.83793, + "lon": -72.5037, + "name": "Los Patios" + }, + "waypoint": { + "lat": -12.78691, + "lon": -74.97298, + "name": "Huancavelica" + }, + "question": "Is Huancavelica approximately on the direct path from Nongstoin to Los Patios?", + "ground_truth": { + "answer": false, + "direct_distance_km": 15911.6, + "via_waypoint_km": 20304.6, + "detour_km": 4393.0, + "detour_percent": 27.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Nongstoin", + " End: Los Patios", + " Waypoint: Huancavelica", + "Step 2: Calculate direct distance", + " Start → End: 15911.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20304.6 km", + "Step 4: Calculate detour", + " Detour = 20304.6 - 15911.6 = 4393.0 km", + " Detour % = (4393.0 / 15911.6) × 100 = 27.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 27.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.03122, + "lon": -75.04434, + "name": "Tacony" + }, + "end": { + "lat": 41.58227, + "lon": -85.83444, + "name": "Goshen" + }, + "waypoint": { + "lat": -25.976, + "lon": 28.118, + "name": "Midrand" + }, + "question": "Is Midrand approximately on the direct path from Tacony to Goshen?", + "ground_truth": { + "answer": false, + "direct_distance_km": 923.7, + "via_waypoint_km": 26722.1, + "detour_km": 25798.3, + "detour_percent": 2792.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tacony", + " End: Goshen", + " Waypoint: Midrand", + "Step 2: Calculate direct distance", + " Start → End: 923.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26722.1 km", + "Step 4: Calculate detour", + " Detour = 26722.1 - 923.7 = 25798.3 km", + " Detour % = (25798.3 / 923.7) × 100 = 2792.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2792.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 25.31668, + "lon": 83.01041, + "name": "Varanasi" + }, + "end": { + "lat": 33.33951, + "lon": 69.92041, + "name": "Khōst" + }, + "waypoint": { + "lat": 34.69999, + "lon": 10.69501, + "name": "Sidi Abid" + }, + "question": "Is Sidi Abid approximately on the direct path from Varanasi to Khōst?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1549.0, + "via_waypoint_km": 12274.7, + "detour_km": 10725.7, + "detour_percent": 692.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Varanasi", + " End: Khōst", + " Waypoint: Sidi Abid", + "Step 2: Calculate direct distance", + " Start → End: 1549.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12274.7 km", + "Step 4: Calculate detour", + " Detour = 12274.7 - 1549.0 = 10725.7 km", + " Detour % = (10725.7 / 1549.0) × 100 = 692.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 692.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.51868, + "lon": -78.39474, + "name": "Altoona" + }, + "end": { + "lat": -41.26667, + "lon": 174.95, + "name": "Wainuiomata" + }, + "waypoint": { + "lat": 31.476, + "lon": 131.10114, + "name": "Shibushi" + }, + "question": "Is Shibushi approximately on the direct path from Altoona to Wainuiomata?", + "ground_truth": { + "answer": false, + "direct_distance_km": 14046.1, + "via_waypoint_km": 20708.4, + "detour_km": 6662.3, + "detour_percent": 47.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Altoona", + " End: Wainuiomata", + " Waypoint: Shibushi", + "Step 2: Calculate direct distance", + " Start → End: 14046.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20708.4 km", + "Step 4: Calculate detour", + " Detour = 20708.4 - 14046.1 = 6662.3 km", + " Detour % = (6662.3 / 14046.1) × 100 = 47.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 47.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -14.66972, + "lon": -40.47111, + "name": "Planalto" + }, + "end": { + "lat": 50.0432, + "lon": 8.97394, + "name": "Seligenstadt" + }, + "waypoint": { + "lat": 44.4834, + "lon": -80.21638, + "name": "Collingwood" + }, + "question": "Is Collingwood approximately on the direct path from Planalto to Seligenstadt?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8660.8, + "via_waypoint_km": 14053.6, + "detour_km": 5392.8, + "detour_percent": 62.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Planalto", + " End: Seligenstadt", + " Waypoint: Collingwood", + "Step 2: Calculate direct distance", + " Start → End: 8660.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14053.6 km", + "Step 4: Calculate detour", + " Detour = 14053.6 - 8660.8 = 5392.8 km", + " Detour % = (5392.8 / 8660.8) × 100 = 62.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 62.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -4.57722, + "lon": -81.27194, + "name": "Talara" + }, + "end": { + "lat": -6.82349, + "lon": 39.26951, + "name": "Dar es Salaam" + }, + "waypoint": { + "lat": 29.86203, + "lon": 106.20288, + "name": "Jiuxian" + }, + "question": "Is Jiuxian approximately on the direct path from Talara to Dar es Salaam?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13295.5, + "via_waypoint_km": 25307.2, + "detour_km": 12011.7, + "detour_percent": 90.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Talara", + " End: Dar es Salaam", + " Waypoint: Jiuxian", + "Step 2: Calculate direct distance", + " Start → End: 13295.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25307.2 km", + "Step 4: Calculate detour", + " Detour = 25307.2 - 13295.5 = 12011.7 km", + " Detour % = (12011.7 / 13295.5) × 100 = 90.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 90.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 47.47156, + "lon": -0.55202, + "name": "Angers" + }, + "end": { + "lat": 51.47566, + "lon": 0.32521, + "name": "Grays" + }, + "waypoint": { + "lat": 6.9625, + "lon": -8.84056, + "name": "Saclepea" + }, + "question": "Is Saclepea approximately on the direct path from Angers to Grays?", + "ground_truth": { + "answer": false, + "direct_distance_km": 449.7, + "via_waypoint_km": 9593.7, + "detour_km": 9144.0, + "detour_percent": 2033.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Angers", + " End: Grays", + " Waypoint: Saclepea", + "Step 2: Calculate direct distance", + " Start → End: 449.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9593.7 km", + "Step 4: Calculate detour", + " Detour = 9593.7 - 449.7 = 9144.0 km", + " Detour % = (9144.0 / 449.7) × 100 = 2033.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2033.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 22.67611, + "lon": 85.62892, + "name": "Chakradharpur" + }, + "end": { + "lat": 13.5728, + "lon": -8.0339, + "name": "Kolokani" + }, + "waypoint": { + "lat": -6.80517, + "lon": 13.33017, + "name": "Tombôco" + }, + "question": "Is Tombôco approximately on the direct path from Chakradharpur to Kolokani?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9796.2, + "via_waypoint_km": 11780.8, + "detour_km": 1984.6, + "detour_percent": 20.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Chakradharpur", + " End: Kolokani", + " Waypoint: Tombôco", + "Step 2: Calculate direct distance", + " Start → End: 9796.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11780.8 km", + "Step 4: Calculate detour", + " Detour = 11780.8 - 9796.2 = 1984.6 km", + " Detour % = (1984.6 / 9796.2) × 100 = 20.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 20.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 34.48333, + "lon": 136.63333, + "name": "Tamaru" + }, + "end": { + "lat": -28.44472, + "lon": -48.95778, + "name": "Capivari de Baixo" + }, + "waypoint": { + "lat": 41.60232, + "lon": -71.25033, + "name": "Portsmouth" + }, + "question": "Is Portsmouth approximately on the direct path from Tamaru to Capivari de Baixo?", + "ground_truth": { + "answer": true, + "direct_distance_km": 19159.8, + "via_waypoint_km": 19207.8, + "detour_km": 48.0, + "detour_percent": 0.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tamaru", + " End: Capivari de Baixo", + " Waypoint: Portsmouth", + "Step 2: Calculate direct distance", + " Start → End: 19159.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19207.8 km", + "Step 4: Calculate detour", + " Detour = 19207.8 - 19159.8 = 48.0 km", + " Detour % = (48.0 / 19159.8) × 100 = 0.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.3% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 7.22868, + "lon": 2.21317, + "name": "Kpozoun" + }, + "end": { + "lat": 10.57998, + "lon": -64.25548, + "name": "Araya" + }, + "waypoint": { + "lat": 37.6941, + "lon": -122.08635, + "name": "Castro Valley" + }, + "question": "Is Castro Valley approximately on the direct path from Kpozoun to Araya?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7299.0, + "via_waypoint_km": 18866.6, + "detour_km": 11567.6, + "detour_percent": 158.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kpozoun", + " End: Araya", + " Waypoint: Castro Valley", + "Step 2: Calculate direct distance", + " Start → End: 7299.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18866.6 km", + "Step 4: Calculate detour", + " Detour = 18866.6 - 7299.0 = 11567.6 km", + " Detour % = (11567.6 / 7299.0) × 100 = 158.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 158.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 7.00228, + "lon": 2.60591, + "name": "Adjaouèrè" + }, + "end": { + "lat": -37.8318, + "lon": 140.77919, + "name": "Mount Gambier" + }, + "waypoint": { + "lat": 20.9013, + "lon": 74.77737, + "name": "Dhule" + }, + "question": "Is Dhule approximately on the direct path from Adjaouèrè to Mount Gambier?", + "ground_truth": { + "answer": false, + "direct_distance_km": 14590.8, + "via_waypoint_km": 17371.8, + "detour_km": 2781.1, + "detour_percent": 19.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Adjaouèrè", + " End: Mount Gambier", + " Waypoint: Dhule", + "Step 2: Calculate direct distance", + " Start → End: 14590.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17371.8 km", + "Step 4: Calculate detour", + " Detour = 17371.8 - 14590.8 = 2781.1 km", + " Detour % = (2781.1 / 14590.8) × 100 = 19.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 19.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 8.9, + "lon": 39.91667, + "name": "Metahāra" + }, + "end": { + "lat": -1.24857, + "lon": 29.98993, + "name": "Kabale" + }, + "waypoint": { + "lat": 29.12125, + "lon": 78.62273, + "name": "Sahaspur" + }, + "question": "Is Sahaspur approximately on the direct path from Metahāra to Kabale?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1575.8, + "via_waypoint_km": 10785.9, + "detour_km": 9210.1, + "detour_percent": 584.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Metahāra", + " End: Kabale", + " Waypoint: Sahaspur", + "Step 2: Calculate direct distance", + " Start → End: 1575.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10785.9 km", + "Step 4: Calculate detour", + " Detour = 10785.9 - 1575.8 = 9210.1 km", + " Detour % = (9210.1 / 1575.8) × 100 = 584.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 584.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 43.18007, + "lon": -73.74429, + "name": "Wilton" + }, + "end": { + "lat": -21.83333, + "lon": 46.93333, + "name": "Ambalavao" + }, + "waypoint": { + "lat": 18.77619, + "lon": 84.09504, + "name": "Paralakhemundi" + }, + "question": "Is Paralakhemundi approximately on the direct path from Wilton to Ambalavao?", + "ground_truth": { + "answer": false, + "direct_distance_km": 14106.1, + "via_waypoint_km": 18823.2, + "detour_km": 4717.1, + "detour_percent": 33.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Wilton", + " End: Ambalavao", + " Waypoint: Paralakhemundi", + "Step 2: Calculate direct distance", + " Start → End: 14106.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18823.2 km", + "Step 4: Calculate detour", + " Detour = 18823.2 - 14106.1 = 4717.1 km", + " Detour % = (4717.1 / 14106.1) × 100 = 33.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 33.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.23206, + "lon": 58.48802, + "name": "Orsk" + }, + "end": { + "lat": 44.76306, + "lon": -85.62063, + "name": "Traverse City" + }, + "waypoint": { + "lat": 2.2618, + "lon": 102.2317, + "name": "Kawasan Perindustrian Cheng" + }, + "question": "Is Kawasan Perindustrian Cheng approximately on the direct path from Orsk to Traverse City?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8797.1, + "via_waypoint_km": 21526.1, + "detour_km": 12729.0, + "detour_percent": 144.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Orsk", + " End: Traverse City", + " Waypoint: Kawasan Perindustrian Cheng", + "Step 2: Calculate direct distance", + " Start → End: 8797.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21526.1 km", + "Step 4: Calculate detour", + " Detour = 21526.1 - 8797.1 = 12729.0 km", + " Detour % = (12729.0 / 8797.1) × 100 = 144.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 144.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -35.4232, + "lon": -71.64974, + "name": "Talca" + }, + "end": { + "lat": 18.34351, + "lon": 74.03102, + "name": "Sāsvad" + }, + "waypoint": { + "lat": 46.34723, + "lon": 18.71189, + "name": "Szekszárd" + }, + "question": "Is Szekszárd approximately on the direct path from Talca to Sāsvad?", + "ground_truth": { + "answer": false, + "direct_distance_km": 16146.5, + "via_waypoint_km": 18693.2, + "detour_km": 2546.6, + "detour_percent": 15.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Talca", + " End: Sāsvad", + " Waypoint: Szekszárd", + "Step 2: Calculate direct distance", + " Start → End: 16146.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18693.2 km", + "Step 4: Calculate detour", + " Detour = 18693.2 - 16146.5 = 2546.6 km", + " Detour % = (2546.6 / 16146.5) × 100 = 15.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 15.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -11.18389, + "lon": -37.99833, + "name": "Tobias Barreto" + }, + "end": { + "lat": 29.71877, + "lon": 120.24233, + "name": "Zhuji" + }, + "waypoint": { + "lat": 48.08964, + "lon": 39.65243, + "name": "Dovzhansk" + }, + "question": "Is Dovzhansk approximately on the direct path from Tobias Barreto to Zhuji?", + "ground_truth": { + "answer": true, + "direct_distance_km": 16963.0, + "via_waypoint_km": 16969.4, + "detour_km": 6.4, + "detour_percent": 0.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tobias Barreto", + " End: Zhuji", + " Waypoint: Dovzhansk", + "Step 2: Calculate direct distance", + " Start → End: 16963.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16969.4 km", + "Step 4: Calculate detour", + " Detour = 16969.4 - 16963.0 = 6.4 km", + " Detour % = (6.4 / 16963.0) × 100 = 0.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.0% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 39.55228, + "lon": -84.23327, + "name": "Springboro" + }, + "end": { + "lat": 6.96321, + "lon": -75.41738, + "name": "Yarumal" + }, + "waypoint": { + "lat": 50.91877, + "lon": -1.49037, + "name": "Totton" + }, + "question": "Is Totton approximately on the direct path from Springboro to Yarumal?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3729.3, + "via_waypoint_km": 14536.9, + "detour_km": 10807.6, + "detour_percent": 289.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Springboro", + " End: Yarumal", + " Waypoint: Totton", + "Step 2: Calculate direct distance", + " Start → End: 3729.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14536.9 km", + "Step 4: Calculate detour", + " Detour = 14536.9 - 3729.3 = 10807.6 km", + " Detour % = (10807.6 / 3729.3) × 100 = 289.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 289.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 39.97776, + "lon": -105.13193, + "name": "Louisville" + }, + "end": { + "lat": -2.09757, + "lon": -79.69261, + "name": "Yaguachi Nuevo" + }, + "waypoint": { + "lat": 10.43424, + "lon": -66.87558, + "name": "Baruta" + }, + "question": "Is Baruta approximately on the direct path from Louisville to Yaguachi Nuevo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5346.9, + "via_waypoint_km": 6982.9, + "detour_km": 1636.0, + "detour_percent": 30.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Louisville", + " End: Yaguachi Nuevo", + " Waypoint: Baruta", + "Step 2: Calculate direct distance", + " Start → End: 5346.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 6982.9 km", + "Step 4: Calculate detour", + " Detour = 6982.9 - 5346.9 = 1636.0 km", + " Detour % = (1636.0 / 5346.9) × 100 = 30.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 30.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 26.40167, + "lon": 127.74503, + "name": "Yomitan" + }, + "end": { + "lat": 28.20553, + "lon": 76.79691, + "name": "Dhāruhera" + }, + "waypoint": { + "lat": -28.02833, + "lon": -54.34972, + "name": "Giruá" + }, + "question": "Is Giruá approximately on the direct path from Yomitan to Dhāruhera?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5000.5, + "via_waypoint_km": 34998.1, + "detour_km": 29997.5, + "detour_percent": 599.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Yomitan", + " End: Dhāruhera", + " Waypoint: Giruá", + "Step 2: Calculate direct distance", + " Start → End: 5000.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 34998.1 km", + "Step 4: Calculate detour", + " Detour = 34998.1 - 5000.5 = 29997.5 km", + " Detour % = (29997.5 / 5000.5) × 100 = 599.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 599.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 20.6614, + "lon": -103.22846, + "name": "Coyula" + }, + "end": { + "lat": 49.58333, + "lon": 3.0, + "name": "Noyon" + }, + "waypoint": { + "lat": 14.76361, + "lon": -16.6916, + "name": "Khombole" + }, + "question": "Is Khombole approximately on the direct path from Coyula to Noyon?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9375.1, + "via_waypoint_km": 13347.0, + "detour_km": 3971.9, + "detour_percent": 42.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Coyula", + " End: Noyon", + " Waypoint: Khombole", + "Step 2: Calculate direct distance", + " Start → End: 9375.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13347.0 km", + "Step 4: Calculate detour", + " Detour = 13347.0 - 9375.1 = 3971.9 km", + " Detour % = (3971.9 / 9375.1) × 100 = 42.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 42.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 15.31637, + "lon": 44.3088, + "name": "Saḩar" + }, + "end": { + "lat": 47.35, + "lon": 25.36667, + "name": "Vatra Dornei" + }, + "waypoint": { + "lat": 42.88064, + "lon": -71.32729, + "name": "Derry" + }, + "question": "Is Derry approximately on the direct path from Saḩar to Vatra Dornei?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3966.7, + "via_waypoint_km": 17898.9, + "detour_km": 13932.2, + "detour_percent": 351.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Saḩar", + " End: Vatra Dornei", + " Waypoint: Derry", + "Step 2: Calculate direct distance", + " Start → End: 3966.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17898.9 km", + "Step 4: Calculate detour", + " Detour = 17898.9 - 3966.7 = 13932.2 km", + " Detour % = (13932.2 / 3966.7) × 100 = 351.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 351.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -6.26667, + "lon": 14.23833, + "name": "Mbanza Kongo" + }, + "end": { + "lat": 38.85039, + "lon": -77.1297, + "name": "Baileys Crossroads" + }, + "waypoint": { + "lat": 32.28998, + "lon": 105.51326, + "name": "Xiasi" + }, + "question": "Is Xiasi approximately on the direct path from Mbanza Kongo to Baileys Crossroads?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10562.2, + "via_waypoint_km": 22598.6, + "detour_km": 12036.3, + "detour_percent": 114.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mbanza Kongo", + " End: Baileys Crossroads", + " Waypoint: Xiasi", + "Step 2: Calculate direct distance", + " Start → End: 10562.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22598.6 km", + "Step 4: Calculate detour", + " Detour = 22598.6 - 10562.2 = 12036.3 km", + " Detour % = (12036.3 / 10562.2) × 100 = 114.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 114.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 10.58964, + "lon": 39.43767, + "name": "Were Īlu" + }, + "end": { + "lat": -19.69787, + "lon": 44.54587, + "name": "Belo sur Tsiribihina" + }, + "waypoint": { + "lat": -16.92366, + "lon": 145.76613, + "name": "Cairns" + }, + "question": "Is Cairns approximately on the direct path from Were Īlu to Belo sur Tsiribihina?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3414.0, + "via_waypoint_km": 22568.1, + "detour_km": 19154.1, + "detour_percent": 561.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Were Īlu", + " End: Belo sur Tsiribihina", + " Waypoint: Cairns", + "Step 2: Calculate direct distance", + " Start → End: 3414.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22568.1 km", + "Step 4: Calculate detour", + " Detour = 22568.1 - 3414.0 = 19154.1 km", + " Detour % = (19154.1 / 3414.0) × 100 = 561.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 561.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 31.76667, + "lon": 104.71667, + "name": "Jiangyou" + }, + "end": { + "lat": 19.42793, + "lon": 93.55134, + "name": "Kyaukpyu" + }, + "waypoint": { + "lat": 34.89044, + "lon": 135.80325, + "name": "Uji" + }, + "question": "Is Uji approximately on the direct path from Jiangyou to Kyaukpyu?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1768.4, + "via_waypoint_km": 7376.8, + "detour_km": 5608.5, + "detour_percent": 317.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Jiangyou", + " End: Kyaukpyu", + " Waypoint: Uji", + "Step 2: Calculate direct distance", + " Start → End: 1768.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 7376.8 km", + "Step 4: Calculate detour", + " Detour = 7376.8 - 1768.4 = 5608.5 km", + " Detour % = (5608.5 / 1768.4) × 100 = 317.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 317.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.31667, + "lon": 6.28333, + "name": "Nettetal" + }, + "end": { + "lat": 2.95395, + "lon": -76.69644, + "name": "Suárez" + }, + "waypoint": { + "lat": 11.0433, + "lon": 20.28342, + "name": "Am Timan" + }, + "question": "Is Am Timan approximately on the direct path from Nettetal to Suárez?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9263.5, + "via_waypoint_km": 15359.8, + "detour_km": 6096.3, + "detour_percent": 65.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Nettetal", + " End: Suárez", + " Waypoint: Am Timan", + "Step 2: Calculate direct distance", + " Start → End: 9263.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15359.8 km", + "Step 4: Calculate detour", + " Detour = 15359.8 - 9263.5 = 6096.3 km", + " Detour % = (6096.3 / 9263.5) × 100 = 65.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 65.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -7.51556, + "lon": -34.90833, + "name": "Caaporã" + }, + "end": { + "lat": 44.78237, + "lon": 10.8777, + "name": "Carpi Centro" + }, + "waypoint": { + "lat": 45.7, + "lon": 25.45, + "name": "Codlea" + }, + "question": "Is Codlea approximately on the direct path from Caaporã to Carpi Centro?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7395.7, + "via_waypoint_km": 9549.2, + "detour_km": 2153.6, + "detour_percent": 29.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Caaporã", + " End: Carpi Centro", + " Waypoint: Codlea", + "Step 2: Calculate direct distance", + " Start → End: 7395.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9549.2 km", + "Step 4: Calculate detour", + " Detour = 9549.2 - 7395.7 = 2153.6 km", + " Detour % = (2153.6 / 7395.7) × 100 = 29.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 29.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -22.76111, + "lon": -47.15417, + "name": "Paulínia" + }, + "end": { + "lat": -38.02388, + "lon": 144.40617, + "name": "Lara" + }, + "waypoint": { + "lat": 14.8006, + "lon": 120.5371, + "name": "Orani" + }, + "question": "Is Orani approximately on the direct path from Paulínia to Lara?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13149.0, + "via_waypoint_km": 24827.1, + "detour_km": 11678.1, + "detour_percent": 88.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Paulínia", + " End: Lara", + " Waypoint: Orani", + "Step 2: Calculate direct distance", + " Start → End: 13149.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24827.1 km", + "Step 4: Calculate detour", + " Detour = 24827.1 - 13149.0 = 11678.1 km", + " Detour % = (11678.1 / 13149.0) × 100 = 88.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 88.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 5.26598, + "lon": -76.56487, + "name": "Tadó" + }, + "end": { + "lat": -23.45947, + "lon": -46.64086, + "name": "Mandaqui" + }, + "waypoint": { + "lat": 5.285, + "lon": -0.746, + "name": "Apam" + }, + "question": "Is Apam approximately on the direct path from Tadó to Mandaqui?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4554.7, + "via_waypoint_km": 14303.9, + "detour_km": 9749.3, + "detour_percent": 214.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tadó", + " End: Mandaqui", + " Waypoint: Apam", + "Step 2: Calculate direct distance", + " Start → End: 4554.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14303.9 km", + "Step 4: Calculate detour", + " Detour = 14303.9 - 4554.7 = 9749.3 km", + " Detour % = (9749.3 / 4554.7) × 100 = 214.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 214.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 60.00276, + "lon": 30.33051, + "name": "Svetlanovskiy" + }, + "end": { + "lat": 48.15659, + "lon": 28.28489, + "name": "Soroca" + }, + "waypoint": { + "lat": 30.28011, + "lon": 31.20531, + "name": "Qahā" + }, + "question": "Is Qahā approximately on the direct path from Svetlanovskiy to Soroca?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1323.8, + "via_waypoint_km": 5308.9, + "detour_km": 3985.1, + "detour_percent": 301.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Svetlanovskiy", + " End: Soroca", + " Waypoint: Qahā", + "Step 2: Calculate direct distance", + " Start → End: 1323.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 5308.9 km", + "Step 4: Calculate detour", + " Detour = 5308.9 - 1323.8 = 3985.1 km", + " Detour % = (3985.1 / 1323.8) × 100 = 301.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 301.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 49.97704, + "lon": 9.15214, + "name": "Aschaffenburg" + }, + "end": { + "lat": 6.8991, + "lon": 1.71618, + "name": "Djakotomé" + }, + "waypoint": { + "lat": -37.814, + "lon": 144.96332, + "name": "Melbourne" + }, + "question": "Is Melbourne approximately on the direct path from Aschaffenburg to Djakotomé?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4839.9, + "via_waypoint_km": 31254.8, + "detour_km": 26414.9, + "detour_percent": 545.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Aschaffenburg", + " End: Djakotomé", + " Waypoint: Melbourne", + "Step 2: Calculate direct distance", + " Start → End: 4839.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 31254.8 km", + "Step 4: Calculate detour", + " Detour = 31254.8 - 4839.9 = 26414.9 km", + " Detour % = (26414.9 / 4839.9) × 100 = 545.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 545.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -39.64355, + "lon": -72.33269, + "name": "Panguipulli" + }, + "end": { + "lat": 43.2165, + "lon": -123.34174, + "name": "Roseburg" + }, + "waypoint": { + "lat": 36.80218, + "lon": 4.15187, + "name": "Boudjima" + }, + "question": "Is Boudjima approximately on the direct path from Panguipulli to Roseburg?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10542.0, + "via_waypoint_km": 21196.0, + "detour_km": 10654.0, + "detour_percent": 101.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Panguipulli", + " End: Roseburg", + " Waypoint: Boudjima", + "Step 2: Calculate direct distance", + " Start → End: 10542.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21196.0 km", + "Step 4: Calculate detour", + " Detour = 21196.0 - 10542.0 = 10654.0 km", + " Detour % = (10654.0 / 10542.0) × 100 = 101.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 101.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 55.91099, + "lon": 37.72964, + "name": "Mytishchi" + }, + "end": { + "lat": 48.79159, + "lon": 2.64747, + "name": "Roissy-en-Brie" + }, + "waypoint": { + "lat": 12.81939, + "lon": 76.75456, + "name": "Nāgamangala" + }, + "question": "Is Nāgamangala approximately on the direct path from Mytishchi to Roissy-en-Brie?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2479.7, + "via_waypoint_km": 13619.4, + "detour_km": 11139.7, + "detour_percent": 449.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mytishchi", + " End: Roissy-en-Brie", + " Waypoint: Nāgamangala", + "Step 2: Calculate direct distance", + " Start → End: 2479.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13619.4 km", + "Step 4: Calculate detour", + " Detour = 13619.4 - 2479.7 = 11139.7 km", + " Detour % = (11139.7 / 2479.7) × 100 = 449.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 449.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -37.96649, + "lon": 145.2081, + "name": "Dandenong North" + }, + "end": { + "lat": 51.73544, + "lon": 14.63971, + "name": "Forst" + }, + "waypoint": { + "lat": 12.57513, + "lon": 122.27081, + "name": "Romblon" + }, + "question": "Is Romblon approximately on the direct path from Dandenong North to Forst?", + "ground_truth": { + "answer": true, + "direct_distance_km": 15921.2, + "via_waypoint_km": 16192.0, + "detour_km": 270.7, + "detour_percent": 1.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Dandenong North", + " End: Forst", + " Waypoint: Romblon", + "Step 2: Calculate direct distance", + " Start → End: 15921.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16192.0 km", + "Step 4: Calculate detour", + " Detour = 16192.0 - 15921.2 = 270.7 km", + " Detour % = (270.7 / 15921.2) × 100 = 1.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1.7% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 34.2706, + "lon": 134.13074, + "name": "Hiragi" + }, + "end": { + "lat": 59.36588, + "lon": 17.99569, + "name": "Råsunda" + }, + "waypoint": { + "lat": 49.89738, + "lon": 8.84613, + "name": "Dieburg" + }, + "question": "Is Dieburg approximately on the direct path from Hiragi to Råsunda?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8072.8, + "via_waypoint_km": 10424.4, + "detour_km": 2351.5, + "detour_percent": 29.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Hiragi", + " End: Råsunda", + " Waypoint: Dieburg", + "Step 2: Calculate direct distance", + " Start → End: 8072.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10424.4 km", + "Step 4: Calculate detour", + " Detour = 10424.4 - 8072.8 = 2351.5 km", + " Detour % = (2351.5 / 8072.8) × 100 = 29.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 29.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 17.97066, + "lon": -102.22124, + "name": "Ciudad Lázaro Cárdenas" + }, + "end": { + "lat": -20.02194, + "lon": -44.05889, + "name": "Ibirité" + }, + "waypoint": { + "lat": -23.48982, + "lon": -46.7322, + "name": "Pirituba" + }, + "question": "Is Pirituba approximately on the direct path from Ciudad Lázaro Cárdenas to Ibirité?", + "ground_truth": { + "answer": true, + "direct_distance_km": 7621.5, + "via_waypoint_km": 8058.3, + "detour_km": 436.7, + "detour_percent": 5.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ciudad Lázaro Cárdenas", + " End: Ibirité", + " Waypoint: Pirituba", + "Step 2: Calculate direct distance", + " Start → End: 7621.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 8058.3 km", + "Step 4: Calculate detour", + " Detour = 8058.3 - 7621.5 = 436.7 km", + " Detour % = (436.7 / 7621.5) × 100 = 5.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 5.7% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 52.63333, + "lon": -1.93333, + "name": "Brownhills" + }, + "end": { + "lat": 28.22107, + "lon": 61.21582, + "name": "Khāsh" + }, + "waypoint": { + "lat": -23.66877, + "lon": -46.78051, + "name": "Capao Redondo" + }, + "question": "Is Capao Redondo approximately on the direct path from Brownhills to Khāsh?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5768.4, + "via_waypoint_km": 22433.2, + "detour_km": 16664.9, + "detour_percent": 288.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Brownhills", + " End: Khāsh", + " Waypoint: Capao Redondo", + "Step 2: Calculate direct distance", + " Start → End: 5768.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22433.2 km", + "Step 4: Calculate detour", + " Detour = 22433.2 - 5768.4 = 16664.9 km", + " Detour % = (16664.9 / 5768.4) × 100 = 288.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 288.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 38.2462, + "lon": 21.73508, + "name": "Pátra" + }, + "end": { + "lat": 31.11712, + "lon": -97.7278, + "name": "Killeen" + }, + "waypoint": { + "lat": 31.89844, + "lon": 73.27339, + "name": "Pindi Bhattian" + }, + "question": "Is Pindi Bhattian approximately on the direct path from Pátra to Killeen?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10076.3, + "via_waypoint_km": 17627.0, + "detour_km": 7550.7, + "detour_percent": 74.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Pátra", + " End: Killeen", + " Waypoint: Pindi Bhattian", + "Step 2: Calculate direct distance", + " Start → End: 10076.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17627.0 km", + "Step 4: Calculate detour", + " Detour = 17627.0 - 10076.3 = 7550.7 km", + " Detour % = (7550.7 / 10076.3) × 100 = 74.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 74.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 53.23235, + "lon": 6.56804, + "name": "Korrewegwijk" + }, + "end": { + "lat": 56.06541, + "lon": 85.62179, + "name": "Tayga" + }, + "waypoint": { + "lat": 33.71399, + "lon": 130.4313, + "name": "Shingū" + }, + "question": "Is Shingū approximately on the direct path from Korrewegwijk to Tayga?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4811.9, + "via_waypoint_km": 13142.6, + "detour_km": 8330.7, + "detour_percent": 173.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Korrewegwijk", + " End: Tayga", + " Waypoint: Shingū", + "Step 2: Calculate direct distance", + " Start → End: 4811.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13142.6 km", + "Step 4: Calculate detour", + " Detour = 13142.6 - 4811.9 = 8330.7 km", + " Detour % = (8330.7 / 4811.9) × 100 = 173.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 173.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 5.01806, + "lon": -1.66437, + "name": "Shama Junction" + }, + "end": { + "lat": -22.48194, + "lon": -47.45667, + "name": "Cordeirópolis" + }, + "waypoint": { + "lat": 2.46146, + "lon": 101.85951, + "name": "Kampung Teluk Kemang" + }, + "question": "Is Kampung Teluk Kemang approximately on the direct path from Shama Junction to Cordeirópolis?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5841.0, + "via_waypoint_km": 27505.7, + "detour_km": 21664.7, + "detour_percent": 370.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Shama Junction", + " End: Cordeirópolis", + " Waypoint: Kampung Teluk Kemang", + "Step 2: Calculate direct distance", + " Start → End: 5841.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27505.7 km", + "Step 4: Calculate detour", + " Detour = 27505.7 - 5841.0 = 21664.7 km", + " Detour % = (21664.7 / 5841.0) × 100 = 370.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 370.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -18.44833, + "lon": -50.45167, + "name": "Quirinópolis" + }, + "end": { + "lat": 41.66113, + "lon": -91.53017, + "name": "Iowa City" + }, + "waypoint": { + "lat": 48.14126, + "lon": 23.03623, + "name": "Vynohradiv" + }, + "question": "Is Vynohradiv approximately on the direct path from Quirinópolis to Iowa City?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7906.3, + "via_waypoint_km": 18510.6, + "detour_km": 10604.4, + "detour_percent": 134.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Quirinópolis", + " End: Iowa City", + " Waypoint: Vynohradiv", + "Step 2: Calculate direct distance", + " Start → End: 7906.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18510.6 km", + "Step 4: Calculate detour", + " Detour = 18510.6 - 7906.3 = 10604.4 km", + " Detour % = (10604.4 / 7906.3) × 100 = 134.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 134.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 59.47944, + "lon": 18.29967, + "name": "Åkersberga" + }, + "end": { + "lat": 40.73002, + "lon": -73.8234, + "name": "Kew Gardens Hills" + }, + "waypoint": { + "lat": 41.04422, + "lon": -83.64993, + "name": "Findlay" + }, + "question": "Is Findlay approximately on the direct path from Åkersberga to Kew Gardens Hills?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6313.8, + "via_waypoint_km": 7598.0, + "detour_km": 1284.2, + "detour_percent": 20.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Åkersberga", + " End: Kew Gardens Hills", + " Waypoint: Findlay", + "Step 2: Calculate direct distance", + " Start → End: 6313.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 7598.0 km", + "Step 4: Calculate detour", + " Detour = 7598.0 - 6313.8 = 1284.2 km", + " Detour % = (1284.2 / 6313.8) × 100 = 20.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 20.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.38897, + "lon": -3.74569, + "name": "Latina" + }, + "end": { + "lat": 52.69045, + "lon": -2.03085, + "name": "Cannock" + }, + "waypoint": { + "lat": 31.12443, + "lon": 108.29065, + "name": "Zhuxi" + }, + "question": "Is Zhuxi approximately on the direct path from Latina to Cannock?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1374.0, + "via_waypoint_km": 17954.3, + "detour_km": 16580.3, + "detour_percent": 1206.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Latina", + " End: Cannock", + " Waypoint: Zhuxi", + "Step 2: Calculate direct distance", + " Start → End: 1374.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17954.3 km", + "Step 4: Calculate detour", + " Detour = 17954.3 - 1374.0 = 16580.3 km", + " Detour % = (16580.3 / 1374.0) × 100 = 1206.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1206.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 33.37032, + "lon": -112.58378, + "name": "Buckeye" + }, + "end": { + "lat": -33.9677, + "lon": 151.10149, + "name": "Hurstville" + }, + "waypoint": { + "lat": -9.44666, + "lon": 159.94549, + "name": "Tandai" + }, + "question": "Is Tandai approximately on the direct path from Buckeye to Hurstville?", + "ground_truth": { + "answer": true, + "direct_distance_km": 12515.1, + "via_waypoint_km": 13223.6, + "detour_km": 708.4, + "detour_percent": 5.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Buckeye", + " End: Hurstville", + " Waypoint: Tandai", + "Step 2: Calculate direct distance", + " Start → End: 12515.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13223.6 km", + "Step 4: Calculate detour", + " Detour = 13223.6 - 12515.1 = 708.4 km", + " Detour % = (708.4 / 12515.1) × 100 = 5.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 5.7% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.95442, + "lon": 8.75801, + "name": "Tabarka" + }, + "end": { + "lat": -6.43333, + "lon": 39.55, + "name": "Sokoni" + }, + "waypoint": { + "lat": 18.36663, + "lon": -99.87185, + "name": "Teloloapan" + }, + "question": "Is Teloloapan approximately on the direct path from Tabarka to Sokoni?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5789.3, + "via_waypoint_km": 25770.3, + "detour_km": 19981.1, + "detour_percent": 345.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tabarka", + " End: Sokoni", + " Waypoint: Teloloapan", + "Step 2: Calculate direct distance", + " Start → End: 5789.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25770.3 km", + "Step 4: Calculate detour", + " Detour = 25770.3 - 5789.3 = 19981.1 km", + " Detour % = (19981.1 / 5789.3) × 100 = 345.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 345.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -37.73333, + "lon": 145.15, + "name": "Eltham" + }, + "end": { + "lat": -12.05162, + "lon": -77.13452, + "name": "Callao" + }, + "waypoint": { + "lat": 39.22493, + "lon": 42.85693, + "name": "Patnos" + }, + "question": "Is Patnos approximately on the direct path from Eltham to Callao?", + "ground_truth": { + "answer": false, + "direct_distance_km": 12941.6, + "via_waypoint_km": 26895.1, + "detour_km": 13953.6, + "detour_percent": 107.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Eltham", + " End: Callao", + " Waypoint: Patnos", + "Step 2: Calculate direct distance", + " Start → End: 12941.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26895.1 km", + "Step 4: Calculate detour", + " Detour = 26895.1 - 12941.6 = 13953.6 km", + " Detour % = (13953.6 / 12941.6) × 100 = 107.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 107.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -38.11531, + "lon": 145.29814, + "name": "Cranbourne East" + }, + "end": { + "lat": 20.81692, + "lon": -102.76347, + "name": "Tepatitlán de Morelos" + }, + "waypoint": { + "lat": 48.14019, + "lon": 37.75008, + "name": "Avdiivka" + }, + "question": "Is Avdiivka approximately on the direct path from Cranbourne East to Tepatitlán de Morelos?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13300.2, + "via_waypoint_km": 25651.2, + "detour_km": 12351.0, + "detour_percent": 92.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Cranbourne East", + " End: Tepatitlán de Morelos", + " Waypoint: Avdiivka", + "Step 2: Calculate direct distance", + " Start → End: 13300.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25651.2 km", + "Step 4: Calculate detour", + " Detour = 25651.2 - 13300.2 = 12351.0 km", + " Detour % = (12351.0 / 13300.2) × 100 = 92.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 92.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 41.97587, + "lon": -87.68922, + "name": "Lincoln Square" + }, + "end": { + "lat": 52.22843, + "lon": 17.27617, + "name": "Środa Wielkopolska" + }, + "waypoint": { + "lat": 47.38993, + "lon": 35.00065, + "name": "Dniprorudne" + }, + "question": "Is Dniprorudne approximately on the direct path from Lincoln Square to Środa Wielkopolska?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7308.5, + "via_waypoint_km": 9968.2, + "detour_km": 2659.6, + "detour_percent": 36.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Lincoln Square", + " End: Środa Wielkopolska", + " Waypoint: Dniprorudne", + "Step 2: Calculate direct distance", + " Start → End: 7308.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9968.2 km", + "Step 4: Calculate detour", + " Detour = 9968.2 - 7308.5 = 2659.6 km", + " Detour % = (2659.6 / 7308.5) × 100 = 36.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 36.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 52.0, + "lon": 8.4, + "name": "Steinhagen" + }, + "end": { + "lat": 51.52274, + "lon": 0.43422, + "name": "Stanford-le-Hope" + }, + "waypoint": { + "lat": -25.54073, + "lon": 152.70493, + "name": "Maryborough" + }, + "question": "Is Maryborough approximately on the direct path from Steinhagen to Stanford-le-Hope?", + "ground_truth": { + "answer": false, + "direct_distance_km": 550.5, + "via_waypoint_km": 32116.3, + "detour_km": 31565.7, + "detour_percent": 5733.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Steinhagen", + " End: Stanford-le-Hope", + " Waypoint: Maryborough", + "Step 2: Calculate direct distance", + " Start → End: 550.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 32116.3 km", + "Step 4: Calculate detour", + " Detour = 32116.3 - 550.5 = 31565.7 km", + " Detour % = (31565.7 / 550.5) × 100 = 5733.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 5733.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 39.72849, + "lon": -121.83748, + "name": "Chico" + }, + "end": { + "lat": 49.29504, + "lon": 8.69846, + "name": "Wiesloch" + }, + "waypoint": { + "lat": 6.56913, + "lon": -8.00253, + "name": "Bloléquin" + }, + "question": "Is Bloléquin approximately on the direct path from Chico to Wiesloch?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8993.2, + "via_waypoint_km": 16525.2, + "detour_km": 7532.0, + "detour_percent": 83.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Chico", + " End: Wiesloch", + " Waypoint: Bloléquin", + "Step 2: Calculate direct distance", + " Start → End: 8993.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16525.2 km", + "Step 4: Calculate detour", + " Detour = 16525.2 - 8993.2 = 7532.0 km", + " Detour % = (7532.0 / 8993.2) × 100 = 83.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 83.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -4.26667, + "lon": 34.36667, + "name": "Kiomboi" + }, + "end": { + "lat": 51.4647, + "lon": 0.0079, + "name": "Blackheath" + }, + "waypoint": { + "lat": 10.81314, + "lon": 76.62869, + "name": "Puthuppariyāram" + }, + "question": "Is Puthuppariyāram approximately on the direct path from Kiomboi to Blackheath?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7000.4, + "via_waypoint_km": 13112.9, + "detour_km": 6112.5, + "detour_percent": 87.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kiomboi", + " End: Blackheath", + " Waypoint: Puthuppariyāram", + "Step 2: Calculate direct distance", + " Start → End: 7000.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13112.9 km", + "Step 4: Calculate detour", + " Detour = 13112.9 - 7000.4 = 6112.5 km", + " Detour % = (6112.5 / 7000.4) × 100 = 87.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 87.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 6.34633, + "lon": -75.50888, + "name": "Copacabana" + }, + "end": { + "lat": 48.08331, + "lon": 39.37764, + "name": "Rovenky" + }, + "waypoint": { + "lat": 49.16667, + "lon": -123.13333, + "name": "Brighouse-City Centre" + }, + "question": "Is Brighouse-City Centre approximately on the direct path from Copacabana to Rovenky?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11271.9, + "via_waypoint_km": 15582.9, + "detour_km": 4311.0, + "detour_percent": 38.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Copacabana", + " End: Rovenky", + " Waypoint: Brighouse-City Centre", + "Step 2: Calculate direct distance", + " Start → End: 11271.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15582.9 km", + "Step 4: Calculate detour", + " Detour = 15582.9 - 11271.9 = 4311.0 km", + " Detour % = (4311.0 / 11271.9) × 100 = 38.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 38.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 5.28634, + "lon": -3.30403, + "name": "Adiaké" + }, + "end": { + "lat": 13.35222, + "lon": -16.43389, + "name": "Lamin" + }, + "waypoint": { + "lat": 28.03947, + "lon": -81.9498, + "name": "Lakeland" + }, + "question": "Is Lakeland approximately on the direct path from Adiaké to Lamin?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1695.9, + "via_waypoint_km": 15548.4, + "detour_km": 13852.5, + "detour_percent": 816.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Adiaké", + " End: Lamin", + " Waypoint: Lakeland", + "Step 2: Calculate direct distance", + " Start → End: 1695.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15548.4 km", + "Step 4: Calculate detour", + " Detour = 15548.4 - 1695.9 = 13852.5 km", + " Detour % = (13852.5 / 1695.9) × 100 = 816.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 816.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -1.67417, + "lon": -47.77111, + "name": "São Domingos do Capim" + }, + "end": { + "lat": 19.04611, + "lon": -98.045, + "name": "Amozoc de Mota" + }, + "waypoint": { + "lat": -38.14711, + "lon": 144.36069, + "name": "Geelong" + }, + "question": "Is Geelong approximately on the direct path from São Domingos do Capim to Amozoc de Mota?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5952.8, + "via_waypoint_km": 29101.9, + "detour_km": 23149.1, + "detour_percent": 388.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: São Domingos do Capim", + " End: Amozoc de Mota", + " Waypoint: Geelong", + "Step 2: Calculate direct distance", + " Start → End: 5952.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 29101.9 km", + "Step 4: Calculate detour", + " Detour = 29101.9 - 5952.8 = 23149.1 km", + " Detour % = (23149.1 / 5952.8) × 100 = 388.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 388.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 41.26045, + "lon": 1.77391, + "name": "Sant Pere de Ribes" + }, + "end": { + "lat": 44.9483, + "lon": -93.34801, + "name": "Saint Louis Park" + }, + "waypoint": { + "lat": 36.59245, + "lon": 127.29223, + "name": "Sejong" + }, + "question": "Is Sejong approximately on the direct path from Sant Pere de Ribes to Saint Louis Park?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7257.2, + "via_waypoint_km": 19808.4, + "detour_km": 12551.1, + "detour_percent": 172.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sant Pere de Ribes", + " End: Saint Louis Park", + " Waypoint: Sejong", + "Step 2: Calculate direct distance", + " Start → End: 7257.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19808.4 km", + "Step 4: Calculate detour", + " Detour = 19808.4 - 7257.2 = 12551.1 km", + " Detour % = (12551.1 / 7257.2) × 100 = 172.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 172.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -33.4608, + "lon": 18.72714, + "name": "Malmesbury" + }, + "end": { + "lat": 33.00118, + "lon": 97.00893, + "name": "Yushu" + }, + "waypoint": { + "lat": 38.16007, + "lon": -85.65968, + "name": "Newburg" + }, + "question": "Is Newburg approximately on the direct path from Malmesbury to Yushu?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11019.7, + "via_waypoint_km": 25467.8, + "detour_km": 14448.1, + "detour_percent": 131.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Malmesbury", + " End: Yushu", + " Waypoint: Newburg", + "Step 2: Calculate direct distance", + " Start → End: 11019.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25467.8 km", + "Step 4: Calculate detour", + " Detour = 25467.8 - 11019.7 = 14448.1 km", + " Detour % = (14448.1 / 11019.7) × 100 = 131.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 131.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 29.35896, + "lon": 30.68061, + "name": "Ibshawāy" + }, + "end": { + "lat": 31.23867, + "lon": 31.65379, + "name": "As Sarw" + }, + "waypoint": { + "lat": 17.31597, + "lon": 99.83186, + "name": "Sawankhalok" + }, + "question": "Is Sawankhalok approximately on the direct path from Ibshawāy to As Sarw?", + "ground_truth": { + "answer": false, + "direct_distance_km": 228.9, + "via_waypoint_km": 14068.4, + "detour_km": 13839.5, + "detour_percent": 6045.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ibshawāy", + " End: As Sarw", + " Waypoint: Sawankhalok", + "Step 2: Calculate direct distance", + " Start → End: 228.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14068.4 km", + "Step 4: Calculate detour", + " Detour = 14068.4 - 228.9 = 13839.5 km", + " Detour % = (13839.5 / 228.9) × 100 = 6045.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 6045.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -5.81944, + "lon": -46.13861, + "name": "Grajaú" + }, + "end": { + "lat": -23.46278, + "lon": -46.53333, + "name": "Guarulhos" + }, + "waypoint": { + "lat": 53.55, + "lon": -2.3, + "name": "Whitefield" + }, + "question": "Is Whitefield approximately on the direct path from Grajaú to Guarulhos?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1962.3, + "via_waypoint_km": 17324.7, + "detour_km": 15362.4, + "detour_percent": 782.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Grajaú", + " End: Guarulhos", + " Waypoint: Whitefield", + "Step 2: Calculate direct distance", + " Start → End: 1962.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17324.7 km", + "Step 4: Calculate detour", + " Detour = 17324.7 - 1962.3 = 15362.4 km", + " Detour % = (15362.4 / 1962.3) × 100 = 782.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 782.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 31.3194, + "lon": 109.55474, + "name": "Fengling" + }, + "end": { + "lat": 3.03716, + "lon": 29.53551, + "name": "Watsa" + }, + "waypoint": { + "lat": 34.18698, + "lon": -6.68176, + "name": "Sidi Taibi" + }, + "question": "Is Sidi Taibi approximately on the direct path from Fengling to Watsa?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8884.3, + "via_waypoint_km": 15238.2, + "detour_km": 6354.0, + "detour_percent": 71.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Fengling", + " End: Watsa", + " Waypoint: Sidi Taibi", + "Step 2: Calculate direct distance", + " Start → End: 8884.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15238.2 km", + "Step 4: Calculate detour", + " Detour = 15238.2 - 8884.3 = 6354.0 km", + " Detour % = (6354.0 / 8884.3) × 100 = 71.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 71.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 34.92129, + "lon": -1.29512, + "name": "Chetouane" + }, + "end": { + "lat": 0.89444, + "lon": 33.49944, + "name": "Kaliro" + }, + "waypoint": { + "lat": 18.46707, + "lon": -69.89339, + "name": "Ciudad Nueva" + }, + "question": "Is Ciudad Nueva approximately on the direct path from Chetouane to Kaliro?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5224.5, + "via_waypoint_km": 18311.7, + "detour_km": 13087.3, + "detour_percent": 250.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Chetouane", + " End: Kaliro", + " Waypoint: Ciudad Nueva", + "Step 2: Calculate direct distance", + " Start → End: 5224.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18311.7 km", + "Step 4: Calculate detour", + " Detour = 18311.7 - 5224.5 = 13087.3 km", + " Detour % = (13087.3 / 5224.5) × 100 = 250.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 250.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 13.15498, + "lon": 10.63468, + "name": "Kumagunnam" + }, + "end": { + "lat": 38.95922, + "lon": -85.89025, + "name": "Seymour" + }, + "waypoint": { + "lat": 36.88998, + "lon": 118.57379, + "name": "Heguan" + }, + "question": "Is Heguan approximately on the direct path from Kumagunnam to Seymour?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9643.8, + "via_waypoint_km": 21883.2, + "detour_km": 12239.4, + "detour_percent": 126.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kumagunnam", + " End: Seymour", + " Waypoint: Heguan", + "Step 2: Calculate direct distance", + " Start → End: 9643.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint ��� End: 21883.2 km", + "Step 4: Calculate detour", + " Detour = 21883.2 - 9643.8 = 12239.4 km", + " Detour % = (12239.4 / 9643.8) × 100 = 126.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 126.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -9.74056, + "lon": -36.50278, + "name": "Limoeiro de Anadia" + }, + "end": { + "lat": 33.06221, + "lon": 44.36564, + "name": "Al Maḩmūdīyah" + }, + "waypoint": { + "lat": 52.33976, + "lon": -2.28034, + "name": "Stourport-on-Severn" + }, + "question": "Is Stourport-on-Severn approximately on the direct path from Limoeiro de Anadia to Al Maḩmūdīyah?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9760.4, + "via_waypoint_km": 11907.0, + "detour_km": 2146.6, + "detour_percent": 22.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Limoeiro de Anadia", + " End: Al Maḩmūdīyah", + " Waypoint: Stourport-on-Severn", + "Step 2: Calculate direct distance", + " Start → End: 9760.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11907.0 km", + "Step 4: Calculate detour", + " Detour = 11907.0 - 9760.4 = 2146.6 km", + " Detour % = (2146.6 / 9760.4) × 100 = 22.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 22.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 50.06187, + "lon": 43.23335, + "name": "Mikhaylovka" + }, + "end": { + "lat": 45.82058, + "lon": 8.82511, + "name": "Varese" + }, + "waypoint": { + "lat": 32.47408, + "lon": 34.97781, + "name": "Pardés H̱anna Karkur" + }, + "question": "Is Pardés H̱anna Karkur approximately on the direct path from Mikhaylovka to Varese?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2582.2, + "via_waypoint_km": 4751.1, + "detour_km": 2168.9, + "detour_percent": 84.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mikhaylovka", + " End: Varese", + " Waypoint: Pardés H̱anna Karkur", + "Step 2: Calculate direct distance", + " Start → End: 2582.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 4751.1 km", + "Step 4: Calculate detour", + " Detour = 4751.1 - 2582.2 = 2168.9 km", + " Detour % = (2168.9 / 2582.2) × 100 = 84.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 84.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 0.08411, + "lon": 32.46972, + "name": "Katabi" + }, + "end": { + "lat": 49.32574, + "lon": -123.07234, + "name": "Central Lonsdale" + }, + "waypoint": { + "lat": -25.16611, + "lon": -57.48562, + "name": "Limpio" + }, + "question": "Is Limpio approximately on the direct path from Katabi to Central Lonsdale?", + "ground_truth": { + "answer": false, + "direct_distance_km": 14045.1, + "via_waypoint_km": 20516.5, + "detour_km": 6471.5, + "detour_percent": 46.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Katabi", + " End: Central Lonsdale", + " Waypoint: Limpio", + "Step 2: Calculate direct distance", + " Start → End: 14045.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20516.5 km", + "Step 4: Calculate detour", + " Detour = 20516.5 - 14045.1 = 6471.5 km", + " Detour % = (6471.5 / 14045.1) × 100 = 46.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 46.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 48.66009, + "lon": 20.53758, + "name": "Rožňava" + }, + "end": { + "lat": 38.70675, + "lon": -8.97388, + "name": "Montijo" + }, + "waypoint": { + "lat": 10.28333, + "lon": -4.91667, + "name": "Niangoloko" + }, + "question": "Is Niangoloko approximately on the direct path from Rožňava to Montijo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2596.8, + "via_waypoint_km": 8064.8, + "detour_km": 5468.0, + "detour_percent": 210.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Rožňava", + " End: Montijo", + " Waypoint: Niangoloko", + "Step 2: Calculate direct distance", + " Start → End: 2596.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 8064.8 km", + "Step 4: Calculate detour", + " Detour = 8064.8 - 2596.8 = 5468.0 km", + " Detour % = (5468.0 / 2596.8) × 100 = 210.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 210.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 12.17864, + "lon": -0.35103, + "name": "Koupéla" + }, + "end": { + "lat": -16.66667, + "lon": 46.1, + "name": "Sitampiky" + }, + "waypoint": { + "lat": 37.33939, + "lon": -121.89496, + "name": "San Jose" + }, + "question": "Is San Jose approximately on the direct path from Koupéla to Sitampiky?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6029.0, + "via_waypoint_km": 29238.9, + "detour_km": 23209.9, + "detour_percent": 385.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Koupéla", + " End: Sitampiky", + " Waypoint: San Jose", + "Step 2: Calculate direct distance", + " Start → End: 6029.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 29238.9 km", + "Step 4: Calculate detour", + " Detour = 29238.9 - 6029.0 = 23209.9 km", + " Detour % = (23209.9 / 6029.0) × 100 = 385.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 385.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 10.9511, + "lon": 78.0681, + "name": "Chinna Āndānkovil" + }, + "end": { + "lat": 21.34222, + "lon": 71.30633, + "name": "Kundla" + }, + "waypoint": { + "lat": -34.43333, + "lon": -71.08333, + "name": "San Vicente" + }, + "question": "Is San Vicente approximately on the direct path from Chinna Āndānkovil to Kundla?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1361.9, + "via_waypoint_km": 32013.6, + "detour_km": 30651.7, + "detour_percent": 2250.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Chinna Āndānkovil", + " End: Kundla", + " Waypoint: San Vicente", + "Step 2: Calculate direct distance", + " Start → End: 1361.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 32013.6 km", + "Step 4: Calculate detour", + " Detour = 32013.6 - 1361.9 = 30651.7 km", + " Detour % = (30651.7 / 1361.9) × 100 = 2250.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2250.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -7.91346, + "lon": 113.82145, + "name": "Bondowoso" + }, + "end": { + "lat": 17.24754, + "lon": 81.64372, + "name": "Polavaram" + }, + "waypoint": { + "lat": -27.50578, + "lon": 153.10236, + "name": "Carindale" + }, + "question": "Is Carindale approximately on the direct path from Bondowoso to Polavaram?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4509.1, + "via_waypoint_km": 13827.2, + "detour_km": 9318.1, + "detour_percent": 206.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bondowoso", + " End: Polavaram", + " Waypoint: Carindale", + "Step 2: Calculate direct distance", + " Start → End: 4509.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13827.2 km", + "Step 4: Calculate detour", + " Detour = 13827.2 - 4509.1 = 9318.1 km", + " Detour % = (9318.1 / 4509.1) × 100 = 206.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 206.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 48.08829, + "lon": 9.23033, + "name": "Sigmaringen" + }, + "end": { + "lat": 46.84862, + "lon": 40.31164, + "name": "Zernograd" + }, + "waypoint": { + "lat": 22.58691, + "lon": -83.94551, + "name": "Minas de Matahambre" + }, + "question": "Is Minas de Matahambre approximately on the direct path from Sigmaringen to Zernograd?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2324.4, + "via_waypoint_km": 18874.2, + "detour_km": 16549.8, + "detour_percent": 712.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sigmaringen", + " End: Zernograd", + " Waypoint: Minas de Matahambre", + "Step 2: Calculate direct distance", + " Start → End: 2324.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18874.2 km", + "Step 4: Calculate detour", + " Detour = 18874.2 - 2324.4 = 16549.8 km", + " Detour % = (16549.8 / 2324.4) × 100 = 712.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 712.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.74927, + "lon": -73.64068, + "name": "Mineola" + }, + "end": { + "lat": -22.80389, + "lon": -43.37222, + "name": "São João de Meriti" + }, + "waypoint": { + "lat": 30.90316, + "lon": 29.55276, + "name": "Burj al ‘Arab" + }, + "question": "Is Burj al ‘Arab approximately on the direct path from Mineola to São João de Meriti?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7728.4, + "via_waypoint_km": 18605.9, + "detour_km": 10877.6, + "detour_percent": 140.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mineola", + " End: São João de Meriti", + " Waypoint: Burj al ‘Arab", + "Step 2: Calculate direct distance", + " Start → End: 7728.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18605.9 km", + "Step 4: Calculate detour", + " Detour = 18605.9 - 7728.4 = 10877.6 km", + " Detour % = (10877.6 / 7728.4) × 100 = 140.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 140.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -12.60139, + "lon": -38.96576, + "name": "Cachoeira" + }, + "end": { + "lat": -24.715, + "lon": -47.88111, + "name": "Pariquera-Açu" + }, + "waypoint": { + "lat": -11.26833, + "lon": -37.43833, + "name": "Estância" + }, + "question": "Is Estância approximately on the direct path from Cachoeira to Pariquera-Açu?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1640.7, + "via_waypoint_km": 2079.5, + "detour_km": 438.7, + "detour_percent": 26.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Cachoeira", + " End: Pariquera-Açu", + " Waypoint: Estância", + "Step 2: Calculate direct distance", + " Start → End: 1640.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 2079.5 km", + "Step 4: Calculate detour", + " Detour = 2079.5 - 1640.7 = 438.7 km", + " Detour % = (438.7 / 1640.7) × 100 = 26.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 26.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.36883, + "lon": 19.35671, + "name": "Bełchatów" + }, + "end": { + "lat": 52.5514, + "lon": -2.02355, + "name": "Wednesbury" + }, + "waypoint": { + "lat": 21.96957, + "lon": 71.57828, + "name": "Gadhada" + }, + "question": "Is Gadhada approximately on the direct path from Bełchatów to Wednesbury?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1465.4, + "via_waypoint_km": 12514.6, + "detour_km": 11049.2, + "detour_percent": 754.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bełchatów", + " End: Wednesbury", + " Waypoint: Gadhada", + "Step 2: Calculate direct distance", + " Start → End: 1465.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12514.6 km", + "Step 4: Calculate detour", + " Detour = 12514.6 - 1465.4 = 11049.2 km", + " Detour % = (11049.2 / 1465.4) × 100 = 754.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 754.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 25.73581, + "lon": 78.74555, + "name": "Bhānder" + }, + "end": { + "lat": 30.40159, + "lon": -86.86357, + "name": "Navarre" + }, + "waypoint": { + "lat": 8.05861, + "lon": -6.18972, + "name": "Mankono" + }, + "question": "Is Mankono approximately on the direct path from Bhānder to Navarre?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13587.6, + "via_waypoint_km": 17779.1, + "detour_km": 4191.5, + "detour_percent": 30.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bhānder", + " End: Navarre", + " Waypoint: Mankono", + "Step 2: Calculate direct distance", + " Start → End: 13587.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17779.1 km", + "Step 4: Calculate detour", + " Detour = 17779.1 - 13587.6 = 4191.5 km", + " Detour % = (4191.5 / 13587.6) × 100 = 30.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 30.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 16.20138, + "lon": 74.74886, + "name": "Konnūr" + }, + "end": { + "lat": -28.70025, + "lon": 26.4581, + "name": "Winnie Mandela" + }, + "waypoint": { + "lat": -12.93688, + "lon": 28.67206, + "name": "Mapalo" + }, + "question": "Is Mapalo approximately on the direct path from Konnūr to Winnie Mandela?", + "ground_truth": { + "answer": true, + "direct_distance_km": 7200.8, + "via_waypoint_km": 7780.2, + "detour_km": 579.4, + "detour_percent": 8.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Konnūr", + " End: Winnie Mandela", + " Waypoint: Mapalo", + "Step 2: Calculate direct distance", + " Start → End: 7200.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 7780.2 km", + "Step 4: Calculate detour", + " Detour = 7780.2 - 7200.8 = 579.4 km", + " Detour % = (579.4 / 7200.8) × 100 = 8.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 8.0% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 42.22487, + "lon": -121.78167, + "name": "Klamath Falls" + }, + "end": { + "lat": 20.4925, + "lon": -103.4175, + "name": "Lomas del Sur" + }, + "waypoint": { + "lat": 39.80276, + "lon": -105.08748, + "name": "Arvada" + }, + "question": "Is Arvada approximately on the direct path from Klamath Falls to Lomas del Sur?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2965.7, + "via_waypoint_km": 3577.0, + "detour_km": 611.3, + "detour_percent": 20.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Klamath Falls", + " End: Lomas del Sur", + " Waypoint: Arvada", + "Step 2: Calculate direct distance", + " Start → End: 2965.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 3577.0 km", + "Step 4: Calculate detour", + " Detour = 3577.0 - 2965.7 = 611.3 km", + " Detour % = (611.3 / 2965.7) × 100 = 20.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 20.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 42.3751, + "lon": -70.98283, + "name": "Winthrop" + }, + "end": { + "lat": -29.11761, + "lon": -59.65834, + "name": "Avellaneda" + }, + "waypoint": { + "lat": 6.56297, + "lon": -7.8172, + "name": "Zéaglo" + }, + "question": "Is Zéaglo approximately on the direct path from Winthrop to Avellaneda?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8033.9, + "via_waypoint_km": 14141.2, + "detour_km": 6107.4, + "detour_percent": 76.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Winthrop", + " End: Avellaneda", + " Waypoint: Zéaglo", + "Step 2: Calculate direct distance", + " Start → End: 8033.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14141.2 km", + "Step 4: Calculate detour", + " Detour = 14141.2 - 8033.9 = 6107.4 km", + " Detour % = (6107.4 / 8033.9) × 100 = 76.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 76.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -37.8318, + "lon": 140.77919, + "name": "Mount Gambier" + }, + "end": { + "lat": -43.58333, + "lon": 172.38333, + "name": "Rolleston" + }, + "waypoint": { + "lat": 47.09993, + "lon": 6.82586, + "name": "La Chaux-de-Fonds" + }, + "question": "Is La Chaux-de-Fonds approximately on the direct path from Mount Gambier to Rolleston?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2721.9, + "via_waypoint_km": 34982.8, + "detour_km": 32260.9, + "detour_percent": 1185.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mount Gambier", + " End: Rolleston", + " Waypoint: La Chaux-de-Fonds", + "Step 2: Calculate direct distance", + " Start → End: 2721.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 34982.8 km", + "Step 4: Calculate detour", + " Detour = 34982.8 - 2721.9 = 32260.9 km", + " Detour % = (32260.9 / 2721.9) × 100 = 1185.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1185.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 44.35012, + "lon": -78.73286, + "name": "Lindsay" + }, + "end": { + "lat": 48.08829, + "lon": 9.23033, + "name": "Sigmaringen" + }, + "waypoint": { + "lat": 28.35039, + "lon": -14.1076, + "name": "Pájara" + }, + "question": "Is Pájara approximately on the direct path from Lindsay to Sigmaringen?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6394.6, + "via_waypoint_km": 8866.8, + "detour_km": 2472.2, + "detour_percent": 38.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Lindsay", + " End: Sigmaringen", + " Waypoint: Pájara", + "Step 2: Calculate direct distance", + " Start → End: 6394.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 8866.8 km", + "Step 4: Calculate detour", + " Detour = 8866.8 - 6394.6 = 2472.2 km", + " Detour % = (2472.2 / 6394.6) × 100 = 38.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 38.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 16.66024, + "lon": 74.22735, + "name": "Pachgaon" + }, + "end": { + "lat": -17.94101, + "lon": -65.34016, + "name": "Mizque" + }, + "waypoint": { + "lat": 43.9298, + "lon": 2.148, + "name": "Albi" + }, + "question": "Is Albi approximately on the direct path from Pachgaon to Mizque?", + "ground_truth": { + "answer": true, + "direct_distance_km": 15728.6, + "via_waypoint_km": 17005.3, + "detour_km": 1276.7, + "detour_percent": 8.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Pachgaon", + " End: Mizque", + " Waypoint: Albi", + "Step 2: Calculate direct distance", + " Start → End: 15728.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17005.3 km", + "Step 4: Calculate detour", + " Detour = 17005.3 - 15728.6 = 1276.7 km", + " Detour % = (1276.7 / 15728.6) × 100 = 8.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 8.1% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 6.29164, + "lon": -6.27945, + "name": "Dignago" + }, + "end": { + "lat": -4.15869, + "lon": 19.8619, + "name": "Dibaya-Lubwe" + }, + "waypoint": { + "lat": 32.73528, + "lon": 74.86167, + "name": "Jammu" + }, + "question": "Is Jammu approximately on the direct path from Dignago to Dibaya-Lubwe?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3126.2, + "via_waypoint_km": 15893.2, + "detour_km": 12767.0, + "detour_percent": 408.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Dignago", + " End: Dibaya-Lubwe", + " Waypoint: Jammu", + "Step 2: Calculate direct distance", + " Start → End: 3126.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15893.2 km", + "Step 4: Calculate detour", + " Detour = 15893.2 - 3126.2 = 12767.0 km", + " Detour % = (12767.0 / 3126.2) × 100 = 408.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 408.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 5.71801, + "lon": 19.07389, + "name": "Sibut" + }, + "end": { + "lat": 4.25833, + "lon": -73.56142, + "name": "Restrepo" + }, + "waypoint": { + "lat": 46.0, + "lon": 26.13333, + "name": "Târgu Secuiesc" + }, + "question": "Is Târgu Secuiesc approximately on the direct path from Sibut to Restrepo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10251.1, + "via_waypoint_km": 14941.3, + "detour_km": 4690.1, + "detour_percent": 45.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sibut", + " End: Restrepo", + " Waypoint: Târgu Secuiesc", + "Step 2: Calculate direct distance", + " Start → End: 10251.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14941.3 km", + "Step 4: Calculate detour", + " Detour = 14941.3 - 10251.1 = 4690.1 km", + " Detour % = (4690.1 / 10251.1) × 100 = 45.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 45.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 42.4801, + "lon": -71.0995, + "name": "Stoneham" + }, + "end": { + "lat": 34.87482, + "lon": 137.17086, + "name": "Kōta" + }, + "waypoint": { + "lat": 50.21971, + "lon": 18.65067, + "name": "Knurów" + }, + "question": "Is Knurów approximately on the direct path from Stoneham to Kōta?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10945.8, + "via_waypoint_km": 15313.2, + "detour_km": 4367.4, + "detour_percent": 39.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Stoneham", + " End: Kōta", + " Waypoint: Knurów", + "Step 2: Calculate direct distance", + " Start → End: 10945.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15313.2 km", + "Step 4: Calculate detour", + " Detour = 15313.2 - 10945.8 = 4367.4 km", + " Detour % = (4367.4 / 10945.8) × 100 = 39.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 39.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 55.56568, + "lon": 9.75257, + "name": "Fredericia" + }, + "end": { + "lat": 50.27875, + "lon": 3.97267, + "name": "Maubeuge" + }, + "waypoint": { + "lat": 1.37861, + "lon": 103.97167, + "name": "Loyang" + }, + "question": "Is Loyang approximately on the direct path from Fredericia to Maubeuge?", + "ground_truth": { + "answer": false, + "direct_distance_km": 703.6, + "via_waypoint_km": 20743.3, + "detour_km": 20039.7, + "detour_percent": 2848.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Fredericia", + " End: Maubeuge", + " Waypoint: Loyang", + "Step 2: Calculate direct distance", + " Start → End: 703.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20743.3 km", + "Step 4: Calculate detour", + " Detour = 20743.3 - 703.6 = 20039.7 km", + " Detour % = (20039.7 / 703.6) × 100 = 2848.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2848.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.81904, + "lon": -76.27494, + "name": "Chesapeake" + }, + "end": { + "lat": 51.73262, + "lon": 6.59031, + "name": "Hamminkeln" + }, + "waypoint": { + "lat": 41.20917, + "lon": 36.97389, + "name": "Terme" + }, + "question": "Is Terme approximately on the direct path from Chesapeake to Hamminkeln?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6432.9, + "via_waypoint_km": 11581.4, + "detour_km": 5148.5, + "detour_percent": 80.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Chesapeake", + " End: Hamminkeln", + " Waypoint: Terme", + "Step 2: Calculate direct distance", + " Start → End: 6432.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11581.4 km", + "Step 4: Calculate detour", + " Detour = 11581.4 - 6432.9 = 5148.5 km", + " Detour % = (5148.5 / 6432.9) × 100 = 80.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 80.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 3.98695, + "lon": -73.75797, + "name": "Acacías" + }, + "end": { + "lat": 19.31556, + "lon": -98.88284, + "name": "Ixtapaluca" + }, + "waypoint": { + "lat": 4.75477, + "lon": 115.01011, + "name": "Limbang" + }, + "question": "Is Limbang approximately on the direct path from Acacías to Ixtapaluca?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3215.0, + "via_waypoint_km": 34080.9, + "detour_km": 30865.9, + "detour_percent": 960.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Acacías", + " End: Ixtapaluca", + " Waypoint: Limbang", + "Step 2: Calculate direct distance", + " Start → End: 3215.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 34080.9 km", + "Step 4: Calculate detour", + " Detour = 34080.9 - 3215.0 = 30865.9 km", + " Detour % = (30865.9 / 3215.0) × 100 = 960.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 960.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -0.84111, + "lon": 29.94194, + "name": "Rukungiri" + }, + "end": { + "lat": 41.71982, + "lon": -72.83204, + "name": "Farmington" + }, + "waypoint": { + "lat": 39.13955, + "lon": -76.54774, + "name": "Green Haven" + }, + "question": "Is Green Haven approximately on the direct path from Rukungiri to Farmington?", + "ground_truth": { + "answer": true, + "direct_distance_km": 11126.9, + "via_waypoint_km": 11907.8, + "detour_km": 780.9, + "detour_percent": 7.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Rukungiri", + " End: Farmington", + " Waypoint: Green Haven", + "Step 2: Calculate direct distance", + " Start → End: 11126.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11907.8 km", + "Step 4: Calculate detour", + " Detour = 11907.8 - 11126.9 = 780.9 km", + " Detour % = (780.9 / 11126.9) × 100 = 7.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 7.0% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 33.28662, + "lon": 134.16832, + "name": "Muroto-misakicho" + }, + "end": { + "lat": -33.92893, + "lon": 151.05111, + "name": "Punchbowl" + }, + "waypoint": { + "lat": -23.62808, + "lon": -46.66791, + "name": "Campo Belo" + }, + "question": "Is Campo Belo approximately on the direct path from Muroto-misakicho to Punchbowl?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7679.2, + "via_waypoint_km": 32284.3, + "detour_km": 24605.1, + "detour_percent": 320.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Muroto-misakicho", + " End: Punchbowl", + " Waypoint: Campo Belo", + "Step 2: Calculate direct distance", + " Start → End: 7679.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 32284.3 km", + "Step 4: Calculate detour", + " Detour = 32284.3 - 7679.2 = 24605.1 km", + " Detour % = (24605.1 / 7679.2) × 100 = 320.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 320.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 26.3248, + "lon": 94.51834, + "name": "Mokokchūng" + }, + "end": { + "lat": 33.7207, + "lon": -116.21677, + "name": "Indio" + }, + "waypoint": { + "lat": -4.25528, + "lon": -43.94056, + "name": "Timbiras" + }, + "question": "Is Timbiras approximately on the direct path from Mokokchūng to Indio?", + "ground_truth": { + "answer": false, + "direct_distance_km": 12591.8, + "via_waypoint_km": 23615.7, + "detour_km": 11023.9, + "detour_percent": 87.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mokokchūng", + " End: Indio", + " Waypoint: Timbiras", + "Step 2: Calculate direct distance", + " Start → End: 12591.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23615.7 km", + "Step 4: Calculate detour", + " Detour = 23615.7 - 12591.8 = 11023.9 km", + " Detour % = (11023.9 / 12591.8) × 100 = 87.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 87.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 10.96209, + "lon": -3.24967, + "name": "Diébougou" + }, + "end": { + "lat": 44.0038, + "lon": 10.10674, + "name": "Marina di Massa" + }, + "waypoint": { + "lat": 48.93935, + "lon": 2.31478, + "name": "Villeneuve-la-Garenne" + }, + "question": "Is Villeneuve-la-Garenne approximately on the direct path from Diébougou to Marina di Massa?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3891.6, + "via_waypoint_km": 5064.2, + "detour_km": 1172.6, + "detour_percent": 30.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Diébougou", + " End: Marina di Massa", + " Waypoint: Villeneuve-la-Garenne", + "Step 2: Calculate direct distance", + " Start → End: 3891.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 5064.2 km", + "Step 4: Calculate detour", + " Detour = 5064.2 - 3891.6 = 1172.6 km", + " Detour % = (1172.6 / 3891.6) × 100 = 30.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 30.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 7.36983, + "lon": 4.1863, + "name": "Ikire" + }, + "end": { + "lat": 10.95771, + "lon": -63.86971, + "name": "Porlamar" + }, + "waypoint": { + "lat": 51.26011, + "lon": 7.76608, + "name": "Werdohl" + }, + "question": "Is Werdohl approximately on the direct path from Ikire to Porlamar?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7467.3, + "via_waypoint_km": 12676.4, + "detour_km": 5209.1, + "detour_percent": 69.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ikire", + " End: Porlamar", + " Waypoint: Werdohl", + "Step 2: Calculate direct distance", + " Start → End: 7467.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12676.4 km", + "Step 4: Calculate detour", + " Detour = 12676.4 - 7467.3 = 5209.1 km", + " Detour % = (5209.1 / 7467.3) × 100 = 69.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 69.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 28.26701, + "lon": -105.48093, + "name": "Meoqui" + }, + "end": { + "lat": -17.87939, + "lon": -51.72166, + "name": "Jataí" + }, + "waypoint": { + "lat": -22.15847, + "lon": -43.29321, + "name": "Paraíba do Sul" + }, + "question": "Is Paraíba do Sul approximately on the direct path from Meoqui to Jataí?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7728.5, + "via_waypoint_km": 9712.5, + "detour_km": 1984.0, + "detour_percent": 25.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Meoqui", + " End: Jataí", + " Waypoint: Paraíba do Sul", + "Step 2: Calculate direct distance", + " Start → End: 7728.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9712.5 km", + "Step 4: Calculate detour", + " Detour = 9712.5 - 7728.5 = 1984.0 km", + " Detour % = (1984.0 / 7728.5) × 100 = 25.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 25.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 35.0969, + "lon": 140.1003, + "name": "Kamogawa" + }, + "end": { + "lat": -3.55399, + "lon": -80.06682, + "name": "Arenillas" + }, + "waypoint": { + "lat": 42.16156, + "lon": -8.6198, + "name": "Porriño" + }, + "question": "Is Porriño approximately on the direct path from Kamogawa to Arenillas?", + "ground_truth": { + "answer": false, + "direct_distance_km": 14597.0, + "via_waypoint_km": 19618.6, + "detour_km": 5021.5, + "detour_percent": 34.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kamogawa", + " End: Arenillas", + " Waypoint: Porriño", + "Step 2: Calculate direct distance", + " Start → End: 14597.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19618.6 km", + "Step 4: Calculate detour", + " Detour = 19618.6 - 14597.0 = 5021.5 km", + " Detour % = (5021.5 / 14597.0) × 100 = 34.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 34.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 50.4, + "lon": 1.6, + "name": "Berck" + }, + "end": { + "lat": 10.9804, + "lon": 106.6519, + "name": "Thủ Dầu Một" + }, + "waypoint": { + "lat": 0.4, + "lon": 32.63333, + "name": "Kira" + }, + "question": "Is Kira approximately on the direct path from Berck to Thủ Dầu Một?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10107.8, + "via_waypoint_km": 14540.6, + "detour_km": 4432.7, + "detour_percent": 43.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Berck", + " End: Thủ Dầu Một", + " Waypoint: Kira", + "Step 2: Calculate direct distance", + " Start → End: 10107.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14540.6 km", + "Step 4: Calculate detour", + " Detour = 14540.6 - 10107.8 = 4432.7 km", + " Detour % = (4432.7 / 10107.8) × 100 = 43.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 43.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -9.23333, + "lon": 33.61667, + "name": "Katumba" + }, + "end": { + "lat": 4.3324, + "lon": -75.82665, + "name": "Caicedonia" + }, + "waypoint": { + "lat": 18.80748, + "lon": -69.78431, + "name": "Monte Plata" + }, + "question": "Is Monte Plata approximately on the direct path from Katumba to Caicedonia?", + "ground_truth": { + "answer": false, + "direct_distance_km": 12216.0, + "via_waypoint_km": 13476.1, + "detour_km": 1260.1, + "detour_percent": 10.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Katumba", + " End: Caicedonia", + " Waypoint: Monte Plata", + "Step 2: Calculate direct distance", + " Start → End: 12216.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13476.1 km", + "Step 4: Calculate detour", + " Detour = 13476.1 - 12216.0 = 1260.1 km", + " Detour % = (1260.1 / 12216.0) × 100 = 10.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 10.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -33.92893, + "lon": 151.05111, + "name": "Punchbowl" + }, + "end": { + "lat": -27.09028, + "lon": -48.61139, + "name": "Itapema" + }, + "waypoint": { + "lat": 2.46146, + "lon": 101.85951, + "name": "Kampung Teluk Kemang" + }, + "question": "Is Kampung Teluk Kemang approximately on the direct path from Punchbowl to Itapema?", + "ground_truth": { + "answer": false, + "direct_distance_km": 12920.4, + "via_waypoint_km": 22386.8, + "detour_km": 9466.4, + "detour_percent": 73.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Punchbowl", + " End: Itapema", + " Waypoint: Kampung Teluk Kemang", + "Step 2: Calculate direct distance", + " Start → End: 12920.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22386.8 km", + "Step 4: Calculate detour", + " Detour = 22386.8 - 12920.4 = 9466.4 km", + " Detour % = (9466.4 / 12920.4) × 100 = 73.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 73.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -25.39048, + "lon": -51.46541, + "name": "Guarapuava" + }, + "end": { + "lat": 34.22834, + "lon": -118.53675, + "name": "Northridge" + }, + "waypoint": { + "lat": -32.83211, + "lon": 151.35623, + "name": "Cessnock" + }, + "question": "Is Cessnock approximately on the direct path from Guarapuava to Northridge?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9690.1, + "via_waypoint_km": 25095.2, + "detour_km": 15405.2, + "detour_percent": 159.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Guarapuava", + " End: Northridge", + " Waypoint: Cessnock", + "Step 2: Calculate direct distance", + " Start → End: 9690.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25095.2 km", + "Step 4: Calculate detour", + " Detour = 25095.2 - 9690.1 = 15405.2 km", + " Detour % = (15405.2 / 9690.1) × 100 = 159.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 159.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.40149, + "lon": -3.73593, + "name": "Cármenes" + }, + "end": { + "lat": 18.14968, + "lon": -65.82738, + "name": "Humacao" + }, + "waypoint": { + "lat": 49.05, + "lon": -122.79167, + "name": "South Surrey" + }, + "question": "Is South Surrey approximately on the direct path from Cármenes to Humacao?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6368.7, + "via_waypoint_km": 14522.8, + "detour_km": 8154.1, + "detour_percent": 128.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Cármenes", + " End: Humacao", + " Waypoint: South Surrey", + "Step 2: Calculate direct distance", + " Start → End: 6368.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14522.8 km", + "Step 4: Calculate detour", + " Detour = 14522.8 - 6368.7 = 8154.1 km", + " Detour % = (8154.1 / 6368.7) × 100 = 128.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 128.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 44.11667, + "lon": 24.98333, + "name": "Roșiorii de Vede" + }, + "end": { + "lat": 26.23786, + "lon": -80.12477, + "name": "Pompano Beach" + }, + "waypoint": { + "lat": 35.01424, + "lon": -85.2519, + "name": "East Ridge" + }, + "question": "Is East Ridge approximately on the direct path from Roșiorii de Vede to Pompano Beach?", + "ground_truth": { + "answer": true, + "direct_distance_km": 9113.2, + "via_waypoint_km": 9842.2, + "detour_km": 728.9, + "detour_percent": 8.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Roșiorii de Vede", + " End: Pompano Beach", + " Waypoint: East Ridge", + "Step 2: Calculate direct distance", + " Start → End: 9113.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9842.2 km", + "Step 4: Calculate detour", + " Detour = 9842.2 - 9113.2 = 728.9 km", + " Detour % = (728.9 / 9113.2) × 100 = 8.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 8.0% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 25.53844, + "lon": -80.40894, + "name": "Princeton" + }, + "end": { + "lat": 11.27631, + "lon": 79.55784, + "name": "Kattumannarkoil" + }, + "waypoint": { + "lat": 26.56271, + "lon": 85.0452, + "name": "Pakridayal" + }, + "question": "Is Pakridayal approximately on the direct path from Princeton to Kattumannarkoil?", + "ground_truth": { + "answer": true, + "direct_distance_km": 15382.1, + "via_waypoint_km": 15809.8, + "detour_km": 427.7, + "detour_percent": 2.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Princeton", + " End: Kattumannarkoil", + " Waypoint: Pakridayal", + "Step 2: Calculate direct distance", + " Start → End: 15382.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15809.8 km", + "Step 4: Calculate detour", + " Detour = 15809.8 - 15382.1 = 427.7 km", + " Detour % = (427.7 / 15382.1) × 100 = 2.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2.8% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -28.33392, + "lon": 23.06541, + "name": "Postmasburg" + }, + "end": { + "lat": 15.86275, + "lon": -97.06835, + "name": "Puerto Escondido" + }, + "waypoint": { + "lat": 27.85591, + "lon": -101.11738, + "name": "Sabinas" + }, + "question": "Is Sabinas approximately on the direct path from Postmasburg to Puerto Escondido?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13754.3, + "via_waypoint_km": 15988.4, + "detour_km": 2234.1, + "detour_percent": 16.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Postmasburg", + " End: Puerto Escondido", + " Waypoint: Sabinas", + "Step 2: Calculate direct distance", + " Start → End: 13754.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15988.4 km", + "Step 4: Calculate detour", + " Detour = 15988.4 - 13754.3 = 2234.1 km", + " Detour % = (2234.1 / 13754.3) × 100 = 16.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 16.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.81, + "lon": 4.67361, + "name": "Dordrecht" + }, + "end": { + "lat": 0.52036, + "lon": 35.26993, + "name": "Eldoret" + }, + "waypoint": { + "lat": 38.75212, + "lon": -121.28801, + "name": "Roseville" + }, + "question": "Is Roseville approximately on the direct path from Dordrecht to Eldoret?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6378.5, + "via_waypoint_km": 23702.7, + "detour_km": 17324.2, + "detour_percent": 271.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Dordrecht", + " End: Eldoret", + " Waypoint: Roseville", + "Step 2: Calculate direct distance", + " Start → End: 6378.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23702.7 km", + "Step 4: Calculate detour", + " Detour = 23702.7 - 6378.5 = 17324.2 km", + " Detour % = (17324.2 / 6378.5) × 100 = 271.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 271.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 34.87045, + "lon": -1.42319, + "name": "Beni Mester" + }, + "end": { + "lat": 55.81904, + "lon": 37.32984, + "name": "Krasnogorsk" + }, + "waypoint": { + "lat": 22.9464, + "lon": 113.35769, + "name": "Shiqiao" + }, + "question": "Is Shiqiao approximately on the direct path from Beni Mester to Krasnogorsk?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3741.8, + "via_waypoint_km": 17657.9, + "detour_km": 13916.1, + "detour_percent": 371.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Beni Mester", + " End: Krasnogorsk", + " Waypoint: Shiqiao", + "Step 2: Calculate direct distance", + " Start → End: 3741.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17657.9 km", + "Step 4: Calculate detour", + " Detour = 17657.9 - 3741.8 = 13916.1 km", + " Detour % = (13916.1 / 3741.8) × 100 = 371.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 371.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 53.42894, + "lon": 14.55302, + "name": "Szczecin" + }, + "end": { + "lat": 46.19439, + "lon": 6.23775, + "name": "Annemasse" + }, + "waypoint": { + "lat": 41.41209, + "lon": 2.14394, + "name": "Vallcarca" + }, + "question": "Is Vallcarca approximately on the direct path from Szczecin to Annemasse?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1000.2, + "via_waypoint_km": 2249.9, + "detour_km": 1249.7, + "detour_percent": 125.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Szczecin", + " End: Annemasse", + " Waypoint: Vallcarca", + "Step 2: Calculate direct distance", + " Start → End: 1000.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 2249.9 km", + "Step 4: Calculate detour", + " Detour = 2249.9 - 1000.2 = 1249.7 km", + " Detour % = (1249.7 / 1000.2) × 100 = 125.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 125.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 11.10607, + "lon": 76.94253, + "name": "Rakkiyapālaiyam" + }, + "end": { + "lat": -7.59083, + "lon": 110.70444, + "name": "Gatak" + }, + "waypoint": { + "lat": -36.9382, + "lon": 174.84019, + "name": "Otahuhu" + }, + "question": "Is Otahuhu approximately on the direct path from Rakkiyapālaiyam to Gatak?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4275.0, + "via_waypoint_km": 18654.6, + "detour_km": 14379.6, + "detour_percent": 336.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Rakkiyapālaiyam", + " End: Gatak", + " Waypoint: Otahuhu", + "Step 2: Calculate direct distance", + " Start → End: 4275.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18654.6 km", + "Step 4: Calculate detour", + " Detour = 18654.6 - 4275.0 = 14379.6 km", + " Detour % = (14379.6 / 4275.0) × 100 = 336.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 336.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 12.65143, + "lon": 77.20672, + "name": "Channapatna" + }, + "end": { + "lat": -24.28139, + "lon": -47.45972, + "name": "Miracatu" + }, + "waypoint": { + "lat": 52.13129, + "lon": 11.63189, + "name": "Magdeburg" + }, + "question": "Is Magdeburg approximately on the direct path from Channapatna to Miracatu?", + "ground_truth": { + "answer": false, + "direct_distance_km": 14075.1, + "via_waypoint_km": 17486.7, + "detour_km": 3411.5, + "detour_percent": 24.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Channapatna", + " End: Miracatu", + " Waypoint: Magdeburg", + "Step 2: Calculate direct distance", + " Start → End: 14075.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17486.7 km", + "Step 4: Calculate detour", + " Detour = 17486.7 - 14075.1 = 3411.5 km", + " Detour % = (3411.5 / 14075.1) × 100 = 24.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 24.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 38.70824, + "lon": -121.32995, + "name": "Antelope" + }, + "end": { + "lat": 35.74242, + "lon": 139.42635, + "name": "Musashimurayama" + }, + "waypoint": { + "lat": 29.2331, + "lon": 56.6022, + "name": "Bāft" + }, + "question": "Is Bāft approximately on the direct path from Antelope to Musashimurayama?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8308.4, + "via_waypoint_km": 20024.5, + "detour_km": 11716.1, + "detour_percent": 141.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Antelope", + " End: Musashimurayama", + " Waypoint: Bāft", + "Step 2: Calculate direct distance", + " Start → End: 8308.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20024.5 km", + "Step 4: Calculate detour", + " Detour = 20024.5 - 8308.4 = 11716.1 km", + " Detour % = (11716.1 / 8308.4) × 100 = 141.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 141.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.42752, + "lon": -3.59426, + "name": "Rosas" + }, + "end": { + "lat": 37.28287, + "lon": -5.92088, + "name": "Dos Hermanas" + }, + "waypoint": { + "lat": 41.08609, + "lon": 40.72213, + "name": "Çayeli" + }, + "question": "Is Çayeli approximately on the direct path from Rosas to Dos Hermanas?", + "ground_truth": { + "answer": false, + "direct_distance_km": 403.5, + "via_waypoint_km": 7686.8, + "detour_km": 7283.3, + "detour_percent": 1805.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Rosas", + " End: Dos Hermanas", + " Waypoint: Çayeli", + "Step 2: Calculate direct distance", + " Start → End: 403.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 7686.8 km", + "Step 4: Calculate detour", + " Detour = 7686.8 - 403.5 = 7283.3 km", + " Detour % = (7283.3 / 403.5) × 100 = 1805.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1805.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.32002, + "lon": -0.14088, + "name": "Coulsdon" + }, + "end": { + "lat": 33.97399, + "lon": -5.09613, + "name": "Ras el Ma" + }, + "waypoint": { + "lat": -38.14711, + "lon": 144.36069, + "name": "Geelong" + }, + "question": "Is Geelong approximately on the direct path from Coulsdon to Ras el Ma?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1969.8, + "via_waypoint_km": 34136.8, + "detour_km": 32167.0, + "detour_percent": 1633.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Coulsdon", + " End: Ras el Ma", + " Waypoint: Geelong", + "Step 2: Calculate direct distance", + " Start → End: 1969.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 34136.8 km", + "Step 4: Calculate detour", + " Detour = 34136.8 - 1969.8 = 32167.0 km", + " Detour % = (32167.0 / 1969.8) × 100 = 1633.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1633.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 42.64685, + "lon": -5.55835, + "name": "Villaquilambre" + }, + "end": { + "lat": -33.73378, + "lon": 18.97523, + "name": "Paarl" + }, + "waypoint": { + "lat": 17.99583, + "lon": -102.22694, + "name": "La Orilla" + }, + "question": "Is La Orilla approximately on the direct path from Villaquilambre to Paarl?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8852.9, + "via_waypoint_km": 23149.2, + "detour_km": 14296.3, + "detour_percent": 161.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Villaquilambre", + " End: Paarl", + " Waypoint: La Orilla", + "Step 2: Calculate direct distance", + " Start → End: 8852.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23149.2 km", + "Step 4: Calculate detour", + " Detour = 23149.2 - 8852.9 = 14296.3 km", + " Detour % = (14296.3 / 8852.9) × 100 = 161.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 161.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 26.47703, + "lon": 90.55815, + "name": "Bongaigaon" + }, + "end": { + "lat": 31.09407, + "lon": 105.08731, + "name": "Tongchuan" + }, + "waypoint": { + "lat": -27.62563, + "lon": 152.96883, + "name": "Forest Lake" + }, + "question": "Is Forest Lake approximately on the direct path from Bongaigaon to Tongchuan?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1504.6, + "via_waypoint_km": 17250.1, + "detour_km": 15745.5, + "detour_percent": 1046.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bongaigaon", + " End: Tongchuan", + " Waypoint: Forest Lake", + "Step 2: Calculate direct distance", + " Start → End: 1504.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17250.1 km", + "Step 4: Calculate detour", + " Detour = 17250.1 - 1504.6 = 15745.5 km", + " Detour % = (15745.5 / 1504.6) × 100 = 1046.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1046.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 14.95806, + "lon": 120.91778, + "name": "Bustos" + }, + "end": { + "lat": 37.4119, + "lon": 79.51429, + "name": "Yawa" + }, + "waypoint": { + "lat": -9.31286, + "lon": 125.25648, + "name": "Suai" + }, + "question": "Is Suai approximately on the direct path from Bustos to Yawa?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4771.6, + "via_waypoint_km": 9783.9, + "detour_km": 5012.3, + "detour_percent": 105.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bustos", + " End: Yawa", + " Waypoint: Suai", + "Step 2: Calculate direct distance", + " Start → End: 4771.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9783.9 km", + "Step 4: Calculate detour", + " Detour = 9783.9 - 4771.6 = 5012.3 km", + " Detour % = (5012.3 / 4771.6) × 100 = 105.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 105.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 50.60911, + "lon": 10.69401, + "name": "Suhl" + }, + "end": { + "lat": 52.08167, + "lon": 5.03611, + "name": "De Meern" + }, + "waypoint": { + "lat": 53.61769, + "lon": 9.95032, + "name": "Niendorf" + }, + "question": "Is Niendorf approximately on the direct path from Suhl to De Meern?", + "ground_truth": { + "answer": false, + "direct_distance_km": 425.6, + "via_waypoint_km": 709.8, + "detour_km": 284.3, + "detour_percent": 66.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Suhl", + " End: De Meern", + " Waypoint: Niendorf", + "Step 2: Calculate direct distance", + " Start → End: 425.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 709.8 km", + "Step 4: Calculate detour", + " Detour = 709.8 - 425.6 = 284.3 km", + " Detour % = (284.3 / 425.6) × 100 = 66.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 66.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 37.4, + "lon": 140.38333, + "name": "Kōriyama" + }, + "end": { + "lat": 49.13995, + "lon": 9.22054, + "name": "Heilbronn" + }, + "waypoint": { + "lat": 48.9102, + "lon": 2.55323, + "name": "Clichy-sous-Bois" + }, + "question": "Is Clichy-sous-Bois approximately on the direct path from Kōriyama to Heilbronn?", + "ground_truth": { + "answer": true, + "direct_distance_km": 9258.6, + "via_waypoint_km": 10042.8, + "detour_km": 784.2, + "detour_percent": 8.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kōriyama", + " End: Heilbronn", + " Waypoint: Clichy-sous-Bois", + "Step 2: Calculate direct distance", + " Start → End: 9258.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10042.8 km", + "Step 4: Calculate detour", + " Detour = 10042.8 - 9258.6 = 784.2 km", + " Detour % = (784.2 / 9258.6) × 100 = 8.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 8.5% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 10.99211, + "lon": 75.90799, + "name": "Nannambra" + }, + "end": { + "lat": 49.45421, + "lon": 11.07752, + "name": "Nürnberg" + }, + "waypoint": { + "lat": 21.43434, + "lon": -102.57427, + "name": "Teocaltiche" + }, + "question": "Is Teocaltiche approximately on the direct path from Nannambra to Nürnberg?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7272.1, + "via_waypoint_km": 26190.5, + "detour_km": 18918.4, + "detour_percent": 260.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Nannambra", + " End: Nürnberg", + " Waypoint: Teocaltiche", + "Step 2: Calculate direct distance", + " Start → End: 7272.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26190.5 km", + "Step 4: Calculate detour", + " Detour = 26190.5 - 7272.1 = 18918.4 km", + " Detour % = (18918.4 / 7272.1) × 100 = 260.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 260.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 13.43528, + "lon": -16.67639, + "name": "Ibo Town" + }, + "end": { + "lat": 59.51833, + "lon": 34.16639, + "name": "Pikalëvo" + }, + "waypoint": { + "lat": 30.65422, + "lon": 107.96832, + "name": "Fulu" + }, + "question": "Is Fulu approximately on the direct path from Ibo Town to Pikalëvo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6584.7, + "via_waypoint_km": 18546.7, + "detour_km": 11962.1, + "detour_percent": 181.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ibo Town", + " End: Pikalëvo", + " Waypoint: Fulu", + "Step 2: Calculate direct distance", + " Start → End: 6584.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18546.7 km", + "Step 4: Calculate detour", + " Detour = 18546.7 - 6584.7 = 11962.1 km", + " Detour % = (11962.1 / 6584.7) × 100 = 181.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 181.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.73605, + "lon": 69.53451, + "name": "Taloqan" + }, + "end": { + "lat": 34.7795, + "lon": 72.36265, + "name": "Mingora" + }, + "waypoint": { + "lat": 29.2032, + "lon": 25.51965, + "name": "Sīwah" + }, + "question": "Is Sīwah approximately on the direct path from Taloqan to Mingora?", + "ground_truth": { + "answer": false, + "direct_distance_km": 335.3, + "via_waypoint_km": 8574.8, + "detour_km": 8239.5, + "detour_percent": 2457.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Taloqan", + " End: Mingora", + " Waypoint: Sīwah", + "Step 2: Calculate direct distance", + " Start → End: 335.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 8574.8 km", + "Step 4: Calculate detour", + " Detour = 8574.8 - 335.3 = 8239.5 km", + " Detour % = (8239.5 / 335.3) × 100 = 2457.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2457.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 37.97476, + "lon": -87.55585, + "name": "Evansville" + }, + "end": { + "lat": 38.9563, + "lon": -77.01799, + "name": "Kennedy Street" + }, + "waypoint": { + "lat": 23.74423, + "lon": 84.49984, + "name": "Lātehār" + }, + "question": "Is Lātehār approximately on the direct path from Evansville to Kennedy Street?", + "ground_truth": { + "answer": false, + "direct_distance_km": 923.4, + "via_waypoint_km": 25884.8, + "detour_km": 24961.4, + "detour_percent": 2703.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Evansville", + " End: Kennedy Street", + " Waypoint: Lātehār", + "Step 2: Calculate direct distance", + " Start → End: 923.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25884.8 km", + "Step 4: Calculate detour", + " Detour = 25884.8 - 923.4 = 24961.4 km", + " Detour % = (24961.4 / 923.4) × 100 = 2703.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2703.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -20.35778, + "lon": -41.95806, + "name": "Manhumirim" + }, + "end": { + "lat": -18.8, + "lon": 47.48333, + "name": "Ivato" + }, + "waypoint": { + "lat": 39.80832, + "lon": -104.93387, + "name": "Commerce City" + }, + "question": "Is Commerce City approximately on the direct path from Manhumirim to Ivato?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9236.3, + "via_waypoint_km": 25831.4, + "detour_km": 16595.2, + "detour_percent": 179.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Manhumirim", + " End: Ivato", + " Waypoint: Commerce City", + "Step 2: Calculate direct distance", + " Start → End: 9236.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25831.4 km", + "Step 4: Calculate detour", + " Detour = 25831.4 - 9236.3 = 16595.2 km", + " Detour % = (16595.2 / 9236.3) × 100 = 179.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 179.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 37.69224, + "lon": -97.33754, + "name": "Wichita" + }, + "end": { + "lat": -5.85746, + "lon": 144.23058, + "name": "Mount Hagen" + }, + "waypoint": { + "lat": 53.01375, + "lon": 18.59814, + "name": "Toruń" + }, + "question": "Is Toruń approximately on the direct path from Wichita to Mount Hagen?", + "ground_truth": { + "answer": false, + "direct_distance_km": 12890.2, + "via_waypoint_km": 21039.0, + "detour_km": 8148.8, + "detour_percent": 63.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Wichita", + " End: Mount Hagen", + " Waypoint: Toruń", + "Step 2: Calculate direct distance", + " Start → End: 12890.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21039.0 km", + "Step 4: Calculate detour", + " Detour = 21039.0 - 12890.2 = 8148.8 km", + " Detour % = (8148.8 / 12890.2) × 100 = 63.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 63.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 35.97859, + "lon": -114.83249, + "name": "Boulder City" + }, + "end": { + "lat": 44.05207, + "lon": -123.08675, + "name": "Eugene" + }, + "waypoint": { + "lat": -15.96528, + "lon": -54.96833, + "name": "Jaciara" + }, + "question": "Is Jaciara approximately on the direct path from Boulder City to Eugene?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1138.9, + "via_waypoint_km": 18120.4, + "detour_km": 16981.5, + "detour_percent": 1491.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Boulder City", + " End: Eugene", + " Waypoint: Jaciara", + "Step 2: Calculate direct distance", + " Start → End: 1138.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18120.4 km", + "Step 4: Calculate detour", + " Detour = 18120.4 - 1138.9 = 16981.5 km", + " Detour % = (16981.5 / 1138.9) × 100 = 1491.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1491.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 26.43864, + "lon": 85.13573, + "name": "Madhuban" + }, + "end": { + "lat": -28.28756, + "lon": 26.14996, + "name": "Bultfontein" + }, + "waypoint": { + "lat": -7.80528, + "lon": -37.79389, + "name": "Carnaíba" + }, + "question": "Is Carnaíba approximately on the direct path from Madhuban to Bultfontein?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8755.4, + "via_waypoint_km": 20713.4, + "detour_km": 11958.0, + "detour_percent": 136.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Madhuban", + " End: Bultfontein", + " Waypoint: Carnaíba", + "Step 2: Calculate direct distance", + " Start → End: 8755.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20713.4 km", + "Step 4: Calculate detour", + " Detour = 20713.4 - 8755.4 = 11958.0 km", + " Detour % = (11958.0 / 8755.4) × 100 = 136.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 136.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 26.09502, + "lon": 13.55744, + "name": "Wādī 'Utbah" + }, + "end": { + "lat": 50.93275, + "lon": 7.28389, + "name": "Overath" + }, + "waypoint": { + "lat": 60.27996, + "lon": 25.01759, + "name": "Suutarila" + }, + "question": "Is Suutarila approximately on the direct path from Wādī 'Utbah to Overath?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2812.8, + "via_waypoint_km": 5415.3, + "detour_km": 2602.5, + "detour_percent": 92.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Wādī 'Utbah", + " End: Overath", + " Waypoint: Suutarila", + "Step 2: Calculate direct distance", + " Start → End: 2812.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 5415.3 km", + "Step 4: Calculate detour", + " Detour = 5415.3 - 2812.8 = 2602.5 km", + " Detour % = (2602.5 / 2812.8) × 100 = 92.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 92.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 16.9985, + "lon": 79.9656, + "name": "Kodār" + }, + "end": { + "lat": 27.70207, + "lon": 76.19911, + "name": "Kotputli" + }, + "waypoint": { + "lat": -23.55, + "lon": 47.5, + "name": "Vohipaho" + }, + "question": "Is Vohipaho approximately on the direct path from Kodār to Kotputli?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1251.4, + "via_waypoint_km": 12201.1, + "detour_km": 10949.8, + "detour_percent": 875.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kodār", + " End: Kotputli", + " Waypoint: Vohipaho", + "Step 2: Calculate direct distance", + " Start → End: 1251.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12201.1 km", + "Step 4: Calculate detour", + " Detour = 12201.1 - 1251.4 = 10949.8 km", + " Detour % = (10949.8 / 1251.4) × 100 = 875.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 875.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 26.33583, + "lon": 127.80139, + "name": "Okinawa" + }, + "end": { + "lat": 45.19774, + "lon": -93.38718, + "name": "Anoka" + }, + "waypoint": { + "lat": 0.8124, + "lon": -77.71709, + "name": "Tulcán" + }, + "question": "Is Tulcán approximately on the direct path from Okinawa to Anoka?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11034.4, + "via_waypoint_km": 21110.6, + "detour_km": 10076.2, + "detour_percent": 91.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Okinawa", + " End: Anoka", + " Waypoint: Tulcán", + "Step 2: Calculate direct distance", + " Start → End: 11034.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21110.6 km", + "Step 4: Calculate detour", + " Detour = 21110.6 - 11034.4 = 10076.2 km", + " Detour % = (10076.2 / 11034.4) × 100 = 91.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 91.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 39.06983, + "lon": -76.85025, + "name": "South Laurel" + }, + "end": { + "lat": 16.47667, + "lon": -15.6, + "name": "Dagana" + }, + "waypoint": { + "lat": 38.2278, + "lon": 27.96955, + "name": "Ödemiş" + }, + "question": "Is Ödemiş approximately on the direct path from South Laurel to Dagana?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6397.1, + "via_waypoint_km": 13377.3, + "detour_km": 6980.2, + "detour_percent": 109.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: South Laurel", + " End: Dagana", + " Waypoint: Ödemiş", + "Step 2: Calculate direct distance", + " Start → End: 6397.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13377.3 km", + "Step 4: Calculate detour", + " Detour = 13377.3 - 6397.1 = 6980.2 km", + " Detour % = (6980.2 / 6397.1) × 100 = 109.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 109.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 30.90316, + "lon": 29.55276, + "name": "Burj al ‘Arab" + }, + "end": { + "lat": 37.47473, + "lon": 57.32903, + "name": "Bojnūrd" + }, + "waypoint": { + "lat": 50.98318, + "lon": 4.46079, + "name": "Zemst" + }, + "question": "Is Zemst approximately on the direct path from Burj al ‘Arab to Bojnūrd?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2646.3, + "via_waypoint_km": 7406.1, + "detour_km": 4759.8, + "detour_percent": 179.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Burj al ‘Arab", + " End: Bojnūrd", + " Waypoint: Zemst", + "Step 2: Calculate direct distance", + " Start → End: 2646.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 7406.1 km", + "Step 4: Calculate detour", + " Detour = 7406.1 - 2646.3 = 4759.8 km", + " Detour % = (4759.8 / 2646.3) × 100 = 179.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 179.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.40944, + "lon": 46.04833, + "name": "Privolzhskiy" + }, + "end": { + "lat": -25.46722, + "lon": -50.65111, + "name": "Irati" + }, + "waypoint": { + "lat": -12.18528, + "lon": -43.22056, + "name": "Ibotirama" + }, + "question": "Is Ibotirama approximately on the direct path from Privolzhskiy to Irati?", + "ground_truth": { + "answer": true, + "direct_distance_km": 12641.8, + "via_waypoint_km": 12683.3, + "detour_km": 41.5, + "detour_percent": 0.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Privolzhskiy", + " End: Irati", + " Waypoint: Ibotirama", + "Step 2: Calculate direct distance", + " Start → End: 12641.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12683.3 km", + "Step 4: Calculate detour", + " Detour = 12683.3 - 12641.8 = 41.5 km", + " Detour % = (41.5 / 12641.8) × 100 = 0.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.3% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 37.07417, + "lon": 36.24778, + "name": "Osmaniye" + }, + "end": { + "lat": 36.68312, + "lon": 10.58431, + "name": "Mennzel Bou Zelfa" + }, + "waypoint": { + "lat": 10.24752, + "lon": -68.76966, + "name": "Boraure" + }, + "question": "Is Boraure approximately on the direct path from Osmaniye to Mennzel Bou Zelfa?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2276.1, + "via_waypoint_km": 19005.4, + "detour_km": 16729.3, + "detour_percent": 735.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Osmaniye", + " End: Mennzel Bou Zelfa", + " Waypoint: Boraure", + "Step 2: Calculate direct distance", + " Start → End: 2276.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19005.4 km", + "Step 4: Calculate detour", + " Detour = 19005.4 - 2276.1 = 16729.3 km", + " Detour % = (16729.3 / 2276.1) × 100 = 735.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 735.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 5.34916, + "lon": 100.23938, + "name": "Balik Pulau" + }, + "end": { + "lat": 0.3375, + "lon": 33.01056, + "name": "Buikwe" + }, + "waypoint": { + "lat": 49.32637, + "lon": 7.33867, + "name": "Homburg" + }, + "question": "Is Homburg approximately on the direct path from Balik Pulau to Buikwe?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7483.4, + "via_waypoint_km": 15738.5, + "detour_km": 8255.1, + "detour_percent": 110.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Balik Pulau", + " End: Buikwe", + " Waypoint: Homburg", + "Step 2: Calculate direct distance", + " Start → End: 7483.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15738.5 km", + "Step 4: Calculate detour", + " Detour = 15738.5 - 7483.4 = 8255.1 km", + " Detour % = (8255.1 / 7483.4) × 100 = 110.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 110.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 6.12874, + "lon": 1.22154, + "name": "Lomé" + }, + "end": { + "lat": -3.46222, + "lon": -44.87056, + "name": "Vitória do Mearim" + }, + "waypoint": { + "lat": 57.76638, + "lon": 40.92828, + "name": "Kostroma" + }, + "question": "Is Kostroma approximately on the direct path from Lomé to Vitória do Mearim?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5227.6, + "via_waypoint_km": 16768.7, + "detour_km": 11541.1, + "detour_percent": 220.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Lomé", + " End: Vitória do Mearim", + " Waypoint: Kostroma", + "Step 2: Calculate direct distance", + " Start → End: 5227.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16768.7 km", + "Step 4: Calculate detour", + " Detour = 16768.7 - 5227.6 = 11541.1 km", + " Detour % = (11541.1 / 5227.6) × 100 = 220.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 220.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 44.55077, + "lon": 7.71922, + "name": "Fossano" + }, + "end": { + "lat": 41.80086, + "lon": -87.93701, + "name": "Hinsdale" + }, + "waypoint": { + "lat": 22.53557, + "lon": 113.91564, + "name": "Nantou" + }, + "question": "Is Nantou approximately on the direct path from Fossano to Hinsdale?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7279.4, + "via_waypoint_km": 21979.4, + "detour_km": 14700.0, + "detour_percent": 201.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Fossano", + " End: Hinsdale", + " Waypoint: Nantou", + "Step 2: Calculate direct distance", + " Start → End: 7279.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21979.4 km", + "Step 4: Calculate detour", + " Detour = 21979.4 - 7279.4 = 14700.0 km", + " Detour % = (14700.0 / 7279.4) × 100 = 201.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 201.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 18.64573, + "lon": 74.05909, + "name": "Koregaon" + }, + "end": { + "lat": 31.01887, + "lon": 75.79111, + "name": "Phillaur" + }, + "waypoint": { + "lat": -12.05605, + "lon": -77.05295, + "name": "Breña" + }, + "question": "Is Breña approximately on the direct path from Koregaon to Phillaur?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1386.8, + "via_waypoint_km": 33357.4, + "detour_km": 31970.6, + "detour_percent": 2305.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Koregaon", + " End: Phillaur", + " Waypoint: Breña", + "Step 2: Calculate direct distance", + " Start → End: 1386.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 33357.4 km", + "Step 4: Calculate detour", + " Detour = 33357.4 - 1386.8 = 31970.6 km", + " Detour % = (31970.6 / 1386.8) × 100 = 2305.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2305.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 9.97106, + "lon": -73.88817, + "name": "Bosconia" + }, + "end": { + "lat": -23.62821, + "lon": -46.45395, + "name": "Sao Rafael" + }, + "waypoint": { + "lat": -29.86139, + "lon": -51.17917, + "name": "Esteio" + }, + "question": "Is Esteio approximately on the direct path from Bosconia to Sao Rafael?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4780.5, + "via_waypoint_km": 5889.0, + "detour_km": 1108.5, + "detour_percent": 23.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bosconia", + " End: Sao Rafael", + " Waypoint: Esteio", + "Step 2: Calculate direct distance", + " Start → End: 4780.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 5889.0 km", + "Step 4: Calculate detour", + " Detour = 5889.0 - 4780.5 = 1108.5 km", + " Detour % = (1108.5 / 4780.5) × 100 = 23.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 23.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 59.62056, + "lon": 30.39, + "name": "Kommunar" + }, + "end": { + "lat": 55.60928, + "lon": 36.98212, + "name": "Golitsyno" + }, + "waypoint": { + "lat": 9.96667, + "lon": 76.25, + "name": "Vypīn" + }, + "question": "Is Vypīn approximately on the direct path from Kommunar to Golitsyno?", + "ground_truth": { + "answer": false, + "direct_distance_km": 593.7, + "via_waypoint_km": 12815.9, + "detour_km": 12222.2, + "detour_percent": 2058.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kommunar", + " End: Golitsyno", + " Waypoint: Vypīn", + "Step 2: Calculate direct distance", + " Start → End: 593.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12815.9 km", + "Step 4: Calculate detour", + " Detour = 12815.9 - 593.7 = 12222.2 km", + " Detour % = (12222.2 / 593.7) × 100 = 2058.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2058.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 53.47424, + "lon": 9.88289, + "name": "Hausbruch" + }, + "end": { + "lat": 60.45659, + "lon": 26.22505, + "name": "Lovisa" + }, + "waypoint": { + "lat": 21.21649, + "lon": 79.18545, + "name": "Yerkhera" + }, + "question": "Is Yerkhera approximately on the direct path from Hausbruch to Lovisa?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1252.9, + "via_waypoint_km": 12741.0, + "detour_km": 11488.2, + "detour_percent": 917.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Hausbruch", + " End: Lovisa", + " Waypoint: Yerkhera", + "Step 2: Calculate direct distance", + " Start → End: 1252.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12741.0 km", + "Step 4: Calculate detour", + " Detour = 12741.0 - 1252.9 = 11488.2 km", + " Detour % = (11488.2 / 1252.9) × 100 = 917.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 917.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -21.92194, + "lon": -50.73389, + "name": "Bastos" + }, + "end": { + "lat": 18.20861, + "lon": -71.10068, + "name": "Santa Cruz de Barahona" + }, + "waypoint": { + "lat": -34.92873, + "lon": 138.60334, + "name": "Adelaide city centre" + }, + "question": "Is Adelaide city centre approximately on the direct path from Bastos to Santa Cruz de Barahona?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4982.3, + "via_waypoint_km": 30163.2, + "detour_km": 25180.9, + "detour_percent": 505.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bastos", + " End: Santa Cruz de Barahona", + " Waypoint: Adelaide city centre", + "Step 2: Calculate direct distance", + " Start → End: 4982.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 30163.2 km", + "Step 4: Calculate detour", + " Detour = 30163.2 - 4982.3 = 25180.9 km", + " Detour % = (25180.9 / 4982.3) × 100 = 505.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 505.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 39.68442, + "lon": 106.81583, + "name": "Wuhai" + }, + "end": { + "lat": 28.90314, + "lon": 78.46984, + "name": "Amroha" + }, + "waypoint": { + "lat": 15.90422, + "lon": 80.46743, + "name": "Bāpatla" + }, + "question": "Is Bāpatla approximately on the direct path from Wuhai to Amroha?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2850.5, + "via_waypoint_km": 5134.7, + "detour_km": 2284.2, + "detour_percent": 80.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Wuhai", + " End: Amroha", + " Waypoint: Bāpatla", + "Step 2: Calculate direct distance", + " Start → End: 2850.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 5134.7 km", + "Step 4: Calculate detour", + " Detour = 5134.7 - 2850.5 = 2284.2 km", + " Detour % = (2284.2 / 2850.5) × 100 = 80.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 80.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 48.81311, + "lon": 9.36387, + "name": "Weinstadt-Endersbach" + }, + "end": { + "lat": -0.75, + "lon": -48.02, + "name": "São Caetano de Odivelas" + }, + "waypoint": { + "lat": 14.2814, + "lon": 121.4161, + "name": "Santa Cruz" + }, + "question": "Is Santa Cruz approximately on the direct path from Weinstadt-Endersbach to São Caetano de Odivelas?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7763.0, + "via_waypoint_km": 28465.7, + "detour_km": 20702.7, + "detour_percent": 266.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Weinstadt-Endersbach", + " End: São Caetano de Odivelas", + " Waypoint: Santa Cruz", + "Step 2: Calculate direct distance", + " Start → End: 7763.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 28465.7 km", + "Step 4: Calculate detour", + " Detour = 28465.7 - 7763.0 = 20702.7 km", + " Detour % = (20702.7 / 7763.0) × 100 = 266.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 266.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -13.07556, + "lon": -76.38528, + "name": "San Vicente de Cañete" + }, + "end": { + "lat": -32.6978, + "lon": -62.10672, + "name": "Marcos Juárez" + }, + "waypoint": { + "lat": 25.5022, + "lon": 86.46708, + "name": "Khagaria" + }, + "question": "Is Khagaria approximately on the direct path from San Vicente de Cañete to Marcos Juárez?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2620.3, + "via_waypoint_km": 34621.9, + "detour_km": 32001.6, + "detour_percent": 1221.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: San Vicente de Cañete", + " End: Marcos Juárez", + " Waypoint: Khagaria", + "Step 2: Calculate direct distance", + " Start → End: 2620.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 34621.9 km", + "Step 4: Calculate detour", + " Detour = 34621.9 - 2620.3 = 32001.6 km", + " Detour % = (32001.6 / 2620.3) × 100 = 1221.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1221.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 11.75618, + "lon": 9.33896, + "name": "Dutse" + }, + "end": { + "lat": 12.57329, + "lon": -8.02907, + "name": "Kalaban Koro" + }, + "waypoint": { + "lat": -26.35917, + "lon": -52.85111, + "name": "São Lourenço do Oeste" + }, + "question": "Is São Lourenço do Oeste approximately on the direct path from Dutse to Kalaban Koro?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1889.7, + "via_waypoint_km": 14436.6, + "detour_km": 12546.9, + "detour_percent": 664.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Dutse", + " End: Kalaban Koro", + " Waypoint: São Lourenço do Oeste", + "Step 2: Calculate direct distance", + " Start → End: 1889.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14436.6 km", + "Step 4: Calculate detour", + " Detour = 14436.6 - 1889.7 = 12546.9 km", + " Detour % = (12546.9 / 1889.7) × 100 = 664.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 664.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 5.41613, + "lon": -4.0159, + "name": "Abobo" + }, + "end": { + "lat": 6.9893, + "lon": -6.66673, + "name": "Zaïbo" + }, + "waypoint": { + "lat": 14.76361, + "lon": -16.6916, + "name": "Khombole" + }, + "question": "Is Khombole approximately on the direct path from Abobo to Zaïbo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 341.3, + "via_waypoint_km": 3126.4, + "detour_km": 2785.2, + "detour_percent": 816.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Abobo", + " End: Zaïbo", + " Waypoint: Khombole", + "Step 2: Calculate direct distance", + " Start → End: 341.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 3126.4 km", + "Step 4: Calculate detour", + " Detour = 3126.4 - 341.3 = 2785.2 km", + " Detour % = (2785.2 / 341.3) × 100 = 816.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 816.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 56.33871, + "lon": -2.79902, + "name": "Saint Andrews" + }, + "end": { + "lat": 10.74244, + "lon": 13.80227, + "name": "Mokolo" + }, + "waypoint": { + "lat": 8.51889, + "lon": -80.35727, + "name": "Penonomé" + }, + "question": "Is Penonomé approximately on the direct path from Saint Andrews to Mokolo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5269.5, + "via_waypoint_km": 18735.0, + "detour_km": 13465.5, + "detour_percent": 255.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Saint Andrews", + " End: Mokolo", + " Waypoint: Penonomé", + "Step 2: Calculate direct distance", + " Start → End: 5269.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18735.0 km", + "Step 4: Calculate detour", + " Detour = 18735.0 - 5269.5 = 13465.5 km", + " Detour % = (13465.5 / 5269.5) × 100 = 255.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 255.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 26.60853, + "lon": 37.92316, + "name": "Al-`Ula" + }, + "end": { + "lat": 30.5696, + "lon": 108.43752, + "name": "Zouma" + }, + "waypoint": { + "lat": 45.36029, + "lon": 23.23832, + "name": "Lupeni" + }, + "question": "Is Lupeni approximately on the direct path from Al-`Ula to Zouma?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6784.6, + "via_waypoint_km": 9758.1, + "detour_km": 2973.6, + "detour_percent": 43.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Al-`Ula", + " End: Zouma", + " Waypoint: Lupeni", + "Step 2: Calculate direct distance", + " Start → End: 6784.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9758.1 km", + "Step 4: Calculate detour", + " Detour = 9758.1 - 6784.6 = 2973.6 km", + " Detour % = (2973.6 / 6784.6) × 100 = 43.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 43.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 42.11667, + "lon": 118.78333, + "name": "Mujiayingzi" + }, + "end": { + "lat": -36.99282, + "lon": 174.87986, + "name": "Manukau City" + }, + "waypoint": { + "lat": 44.94107, + "lon": -93.4419, + "name": "Minnetonka Mills" + }, + "question": "Is Minnetonka Mills approximately on the direct path from Mujiayingzi to Manukau City?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10473.4, + "via_waypoint_km": 22740.7, + "detour_km": 12267.3, + "detour_percent": 117.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mujiayingzi", + " End: Manukau City", + " Waypoint: Minnetonka Mills", + "Step 2: Calculate direct distance", + " Start → End: 10473.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22740.7 km", + "Step 4: Calculate detour", + " Detour = 22740.7 - 10473.4 = 12267.3 km", + " Detour % = (12267.3 / 10473.4) × 100 = 117.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 117.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 33.16262, + "lon": -96.93751, + "name": "Little Elm" + }, + "end": { + "lat": 41.57721, + "lon": -93.71133, + "name": "West Des Moines" + }, + "waypoint": { + "lat": -25.05194, + "lon": 33.64417, + "name": "Xai-Xai" + }, + "question": "Is Xai-Xai approximately on the direct path from Little Elm to West Des Moines?", + "ground_truth": { + "answer": false, + "direct_distance_km": 977.9, + "via_waypoint_km": 30052.8, + "detour_km": 29074.8, + "detour_percent": 2973.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Little Elm", + " End: West Des Moines", + " Waypoint: Xai-Xai", + "Step 2: Calculate direct distance", + " Start → End: 977.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 30052.8 km", + "Step 4: Calculate detour", + " Detour = 30052.8 - 977.9 = 29074.8 km", + " Detour % = (29074.8 / 977.9) × 100 = 2973.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2973.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 49.21088, + "lon": -0.30653, + "name": "Hérouville-Saint-Clair" + }, + "end": { + "lat": 52.65303, + "lon": 90.09454, + "name": "Abaza" + }, + "waypoint": { + "lat": 37.16667, + "lon": 9.75, + "name": "Douar Tindja" + }, + "question": "Is Douar Tindja approximately on the direct path from Hérouville-Saint-Clair to Abaza?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5914.8, + "via_waypoint_km": 7775.1, + "detour_km": 1860.3, + "detour_percent": 31.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Hérouville-Saint-Clair", + " End: Abaza", + " Waypoint: Douar Tindja", + "Step 2: Calculate direct distance", + " Start → End: 5914.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 7775.1 km", + "Step 4: Calculate detour", + " Detour = 7775.1 - 5914.8 = 1860.3 km", + " Detour % = (1860.3 / 5914.8) × 100 = 31.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 31.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 18.46422, + "lon": -97.39735, + "name": "Tehuacán" + }, + "end": { + "lat": 23.00959, + "lon": 74.57747, + "name": "Thandla" + }, + "waypoint": { + "lat": -6.23122, + "lon": -42.68691, + "name": "Regeneração" + }, + "question": "Is Regeneração approximately on the direct path from Tehuacán to Thandla?", + "ground_truth": { + "answer": false, + "direct_distance_km": 15321.7, + "via_waypoint_km": 19659.5, + "detour_km": 4337.7, + "detour_percent": 28.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tehuacán", + " End: Thandla", + " Waypoint: Regeneração", + "Step 2: Calculate direct distance", + " Start → End: 15321.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19659.5 km", + "Step 4: Calculate detour", + " Detour = 19659.5 - 15321.7 = 4337.7 km", + " Detour % = (4337.7 / 15321.7) × 100 = 28.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 28.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -21.53667, + "lon": -49.85806, + "name": "Promissão" + }, + "end": { + "lat": 10.3401, + "lon": -68.74297, + "name": "San Felipe" + }, + "waypoint": { + "lat": -38.0965, + "lon": 145.26707, + "name": "Cranbourne West" + }, + "question": "Is Cranbourne West approximately on the direct path from Promissão to San Felipe?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4100.5, + "via_waypoint_km": 28633.2, + "detour_km": 24532.7, + "detour_percent": 598.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Promissão", + " End: San Felipe", + " Waypoint: Cranbourne West", + "Step 2: Calculate direct distance", + " Start → End: 4100.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 28633.2 km", + "Step 4: Calculate detour", + " Detour = 28633.2 - 4100.5 = 24532.7 km", + " Detour % = (24532.7 / 4100.5) × 100 = 598.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 598.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 26.47079, + "lon": 85.70311, + "name": "Pupri" + }, + "end": { + "lat": -37.81992, + "lon": 145.0358, + "name": "Hawthorn" + }, + "waypoint": { + "lat": 12.87398, + "lon": 11.04057, + "name": "Gashua" + }, + "question": "Is Gashua approximately on the direct path from Pupri to Hawthorn?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9450.3, + "via_waypoint_km": 22562.3, + "detour_km": 13112.0, + "detour_percent": 138.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Pupri", + " End: Hawthorn", + " Waypoint: Gashua", + "Step 2: Calculate direct distance", + " Start → End: 9450.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22562.3 km", + "Step 4: Calculate detour", + " Detour = 22562.3 - 9450.3 = 13112.0 km", + " Detour % = (13112.0 / 9450.3) × 100 = 138.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 138.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -29.14691, + "lon": 31.41403, + "name": "Mandeni" + }, + "end": { + "lat": 29.50745, + "lon": -95.09493, + "name": "League City" + }, + "waypoint": { + "lat": 60.22287, + "lon": 24.86103, + "name": "Pitäjänmäki" + }, + "question": "Is Pitäjänmäki approximately on the direct path from Mandeni to League City?", + "ground_truth": { + "answer": false, + "direct_distance_km": 14877.5, + "via_waypoint_km": 18604.1, + "detour_km": 3726.6, + "detour_percent": 25.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mandeni", + " End: League City", + " Waypoint: Pitäjänmäki", + "Step 2: Calculate direct distance", + " Start → End: 14877.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18604.1 km", + "Step 4: Calculate detour", + " Detour = 18604.1 - 14877.5 = 3726.6 km", + " Detour % = (3726.6 / 14877.5) × 100 = 25.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 25.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.56856, + "lon": 0.00768, + "name": "Leytonstone" + }, + "end": { + "lat": 48.74953, + "lon": 8.87176, + "name": "Weil der Stadt" + }, + "waypoint": { + "lat": 48.62858, + "lon": 21.71954, + "name": "Trebišov" + }, + "question": "Is Trebišov approximately on the direct path from Leytonstone to Weil der Stadt?", + "ground_truth": { + "answer": false, + "direct_distance_km": 704.3, + "via_waypoint_km": 2518.6, + "detour_km": 1814.3, + "detour_percent": 257.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Leytonstone", + " End: Weil der Stadt", + " Waypoint: Trebišov", + "Step 2: Calculate direct distance", + " Start → End: 704.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 2518.6 km", + "Step 4: Calculate detour", + " Detour = 2518.6 - 704.3 = 1814.3 km", + " Detour % = (1814.3 / 704.3) × 100 = 257.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 257.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -22.88717, + "lon": -42.02622, + "name": "Cabo Frio" + }, + "end": { + "lat": -9.56722, + "lon": -48.39167, + "name": "Miracema do Tocantins" + }, + "waypoint": { + "lat": -18.818, + "lon": 47.43382, + "name": "Ambohidratrimo" + }, + "question": "Is Ambohidratrimo approximately on the direct path from Cabo Frio to Miracema do Tocantins?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1628.8, + "via_waypoint_km": 19423.0, + "detour_km": 17794.2, + "detour_percent": 1092.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Cabo Frio", + " End: Miracema do Tocantins", + " Waypoint: Ambohidratrimo", + "Step 2: Calculate direct distance", + " Start → End: 1628.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19423.0 km", + "Step 4: Calculate detour", + " Detour = 19423.0 - 1628.8 = 17794.2 km", + " Detour % = (17794.2 / 1628.8) × 100 = 1092.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1092.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 35.92296, + "lon": 5.29604, + "name": "Aïn Oulmene" + }, + "end": { + "lat": -40.33494, + "lon": -72.95564, + "name": "Río Bueno" + }, + "waypoint": { + "lat": 49.01367, + "lon": 2.46595, + "name": "Goussainville" + }, + "question": "Is Goussainville approximately on the direct path from Aïn Oulmene to Río Bueno?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11644.1, + "via_waypoint_km": 13846.3, + "detour_km": 2202.2, + "detour_percent": 18.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Aïn Oulmene", + " End: Río Bueno", + " Waypoint: Goussainville", + "Step 2: Calculate direct distance", + " Start → End: 11644.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13846.3 km", + "Step 4: Calculate detour", + " Detour = 13846.3 - 11644.1 = 2202.2 km", + " Detour % = (2202.2 / 11644.1) × 100 = 18.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 18.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 42.24087, + "lon": -83.26965, + "name": "Taylor" + }, + "end": { + "lat": 10.08788, + "lon": 76.3411, + "name": "Choornikkara" + }, + "waypoint": { + "lat": 41.03083, + "lon": 39.00306, + "name": "Görele" + }, + "question": "Is Görele approximately on the direct path from Taylor to Choornikkara?", + "ground_truth": { + "answer": true, + "direct_distance_km": 13836.5, + "via_waypoint_km": 14111.0, + "detour_km": 274.6, + "detour_percent": 2.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Taylor", + " End: Choornikkara", + " Waypoint: Görele", + "Step 2: Calculate direct distance", + " Start → End: 13836.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14111.0 km", + "Step 4: Calculate detour", + " Detour = 14111.0 - 13836.5 = 274.6 km", + " Detour % = (274.6 / 13836.5) × 100 = 2.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2.0% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 43.05923, + "lon": -77.61222, + "name": "Henrietta" + }, + "end": { + "lat": 29.69286, + "lon": 106.94399, + "name": "Maliuzui" + }, + "waypoint": { + "lat": -12.09514, + "lon": 26.42727, + "name": "Kansanshi" + }, + "question": "Is Kansanshi approximately on the direct path from Henrietta to Maliuzui?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11912.0, + "via_waypoint_km": 21835.6, + "detour_km": 9923.5, + "detour_percent": 83.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Henrietta", + " End: Maliuzui", + " Waypoint: Kansanshi", + "Step 2: Calculate direct distance", + " Start → End: 11912.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21835.6 km", + "Step 4: Calculate detour", + " Detour = 21835.6 - 11912.0 = 9923.5 km", + " Detour % = (9923.5 / 11912.0) × 100 = 83.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 83.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 41.84668, + "lon": -8.41905, + "name": "Arcos de Valdevez" + }, + "end": { + "lat": 52.55035, + "lon": 13.39139, + "name": "Gesundbrunnen" + }, + "waypoint": { + "lat": 5.32699, + "lon": 100.27348, + "name": "Kampung Sungai Ara" + }, + "question": "Is Kampung Sungai Ara approximately on the direct path from Arcos de Valdevez to Gesundbrunnen?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2019.6, + "via_waypoint_km": 20460.1, + "detour_km": 18440.6, + "detour_percent": 913.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Arcos de Valdevez", + " End: Gesundbrunnen", + " Waypoint: Kampung Sungai Ara", + "Step 2: Calculate direct distance", + " Start → End: 2019.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20460.1 km", + "Step 4: Calculate detour", + " Detour = 20460.1 - 2019.6 = 18440.6 km", + " Detour % = (18440.6 / 2019.6) × 100 = 913.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 913.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 34.86667, + "lon": 138.26667, + "name": "Fujieda" + }, + "end": { + "lat": 19.30023, + "lon": 73.05881, + "name": "Bhiwandi" + }, + "waypoint": { + "lat": 11.1825, + "lon": -0.63222, + "name": "Zabré" + }, + "question": "Is Zabré approximately on the direct path from Fujieda to Bhiwandi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6570.7, + "via_waypoint_km": 21216.3, + "detour_km": 14645.6, + "detour_percent": 222.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Fujieda", + " End: Bhiwandi", + " Waypoint: Zabré", + "Step 2: Calculate direct distance", + " Start → End: 6570.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21216.3 km", + "Step 4: Calculate detour", + " Detour = 21216.3 - 6570.7 = 14645.6 km", + " Detour % = (14645.6 / 6570.7) × 100 = 222.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 222.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -11.35172, + "lon": 40.35158, + "name": "Mocímboa da Praia" + }, + "end": { + "lat": 53.59245, + "lon": -2.21941, + "name": "Heywood" + }, + "waypoint": { + "lat": -34.06564, + "lon": 151.01266, + "name": "Engadine" + }, + "question": "Is Engadine approximately on the direct path from Mocímboa da Praia to Heywood?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8264.9, + "via_waypoint_km": 28132.7, + "detour_km": 19867.8, + "detour_percent": 240.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mocímboa da Praia", + " End: Heywood", + " Waypoint: Engadine", + "Step 2: Calculate direct distance", + " Start → End: 8264.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 28132.7 km", + "Step 4: Calculate detour", + " Detour = 28132.7 - 8264.9 = 19867.8 km", + " Detour % = (19867.8 / 8264.9) × 100 = 240.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 240.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 14.78352, + "lon": -60.99227, + "name": "Sainte-Marie" + }, + "end": { + "lat": 4.075, + "lon": 9.36005, + "name": "Tiko" + }, + "waypoint": { + "lat": -7.95618, + "lon": 38.97164, + "name": "Ikwiriri" + }, + "question": "Is Ikwiriri approximately on the direct path from Sainte-Marie to Tiko?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7781.0, + "via_waypoint_km": 14843.6, + "detour_km": 7062.6, + "detour_percent": 90.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sainte-Marie", + " End: Tiko", + " Waypoint: Ikwiriri", + "Step 2: Calculate direct distance", + " Start → End: 7781.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14843.6 km", + "Step 4: Calculate detour", + " Detour = 14843.6 - 7781.0 = 7062.6 km", + " Detour % = (7062.6 / 7781.0) × 100 = 90.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 90.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.46917, + "lon": 10.78222, + "name": "Beni Khiar" + }, + "end": { + "lat": 60.15054, + "lon": 24.65307, + "name": "Espoonlahti" + }, + "waypoint": { + "lat": 14.53333, + "lon": 100.91667, + "name": "Saraburi" + }, + "question": "Is Saraburi approximately on the direct path from Beni Khiar to Espoonlahti?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2812.7, + "via_waypoint_km": 16916.5, + "detour_km": 14103.9, + "detour_percent": 501.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Beni Khiar", + " End: Espoonlahti", + " Waypoint: Saraburi", + "Step 2: Calculate direct distance", + " Start → End: 2812.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16916.5 km", + "Step 4: Calculate detour", + " Detour = 16916.5 - 2812.7 = 14103.9 km", + " Detour % = (14103.9 / 2812.7) × 100 = 501.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 501.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 47.50564, + "lon": 8.72413, + "name": "Winterthur" + }, + "end": { + "lat": 40.57733, + "lon": -74.2282, + "name": "Carteret" + }, + "waypoint": { + "lat": -14.94747, + "lon": 37.41591, + "name": "Malema" + }, + "question": "Is Malema approximately on the direct path from Winterthur to Carteret?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6353.8, + "via_waypoint_km": 20407.2, + "detour_km": 14053.4, + "detour_percent": 221.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Winterthur", + " End: Carteret", + " Waypoint: Malema", + "Step 2: Calculate direct distance", + " Start → End: 6353.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20407.2 km", + "Step 4: Calculate detour", + " Detour = 20407.2 - 6353.8 = 14053.4 km", + " Detour % = (14053.4 / 6353.8) × 100 = 221.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 221.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.24048, + "lon": -0.17044, + "name": "Redhill" + }, + "end": { + "lat": 44.82751, + "lon": 126.54063, + "name": "Yushu" + }, + "waypoint": { + "lat": 14.57529, + "lon": -60.97453, + "name": "Ducos" + }, + "question": "Is Ducos approximately on the direct path from Redhill to Yushu?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8170.9, + "via_waypoint_km": 20098.2, + "detour_km": 11927.2, + "detour_percent": 146.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Redhill", + " End: Yushu", + " Waypoint: Ducos", + "Step 2: Calculate direct distance", + " Start → End: 8170.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20098.2 km", + "Step 4: Calculate detour", + " Detour = 20098.2 - 8170.9 = 11927.2 km", + " Detour % = (11927.2 / 8170.9) × 100 = 146.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 146.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -3.92806, + "lon": -41.70917, + "name": "Piracuruca" + }, + "end": { + "lat": 37.02089, + "lon": -93.20602, + "name": "Ozark" + }, + "waypoint": { + "lat": 37.18856, + "lon": -3.71887, + "name": "Santafé" + }, + "question": "Is Santafé approximately on the direct path from Piracuruca to Ozark?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7000.6, + "via_waypoint_km": 13622.1, + "detour_km": 6621.5, + "detour_percent": 94.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Piracuruca", + " End: Ozark", + " Waypoint: Santafé", + "Step 2: Calculate direct distance", + " Start → End: 7000.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13622.1 km", + "Step 4: Calculate detour", + " Detour = 13622.1 - 7000.6 = 6621.5 km", + " Detour % = (6621.5 / 7000.6) × 100 = 94.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 94.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 15.26954, + "lon": 76.3871, + "name": "Hosapete" + }, + "end": { + "lat": 36.21667, + "lon": 138.48333, + "name": "Saku" + }, + "waypoint": { + "lat": -26.56472, + "lon": -52.32833, + "name": "Abelardo Luz" + }, + "question": "Is Abelardo Luz approximately on the direct path from Hosapete to Saku?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6524.7, + "via_waypoint_km": 33110.5, + "detour_km": 26585.8, + "detour_percent": 407.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Hosapete", + " End: Saku", + " Waypoint: Abelardo Luz", + "Step 2: Calculate direct distance", + " Start → End: 6524.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 33110.5 km", + "Step 4: Calculate detour", + " Detour = 33110.5 - 6524.7 = 26585.8 km", + " Detour % = (26585.8 / 6524.7) × 100 = 407.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 407.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -31.43084, + "lon": 152.90894, + "name": "Port Macquarie" + }, + "end": { + "lat": 39.57538, + "lon": -76.99581, + "name": "Westminster" + }, + "waypoint": { + "lat": 40.56754, + "lon": -89.64066, + "name": "Pekin" + }, + "question": "Is Pekin approximately on the direct path from Port Macquarie to Westminster?", + "ground_truth": { + "answer": true, + "direct_distance_km": 15466.8, + "via_waypoint_km": 15495.7, + "detour_km": 28.9, + "detour_percent": 0.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Port Macquarie", + " End: Westminster", + " Waypoint: Pekin", + "Step 2: Calculate direct distance", + " Start → End: 15466.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15495.7 km", + "Step 4: Calculate detour", + " Detour = 15495.7 - 15466.8 = 28.9 km", + " Detour % = (28.9 / 15466.8) × 100 = 0.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.2% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 48.59479, + "lon": 17.82591, + "name": "Piešťany" + }, + "end": { + "lat": 55.72445, + "lon": 38.20908, + "name": "Elektrougli" + }, + "waypoint": { + "lat": 38.91144, + "lon": -90.15066, + "name": "Upper Alton" + }, + "question": "Is Upper Alton approximately on the direct path from Piešťany to Elektrougli?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1591.9, + "via_waypoint_km": 16401.0, + "detour_km": 14809.1, + "detour_percent": 930.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Piešťany", + " End: Elektrougli", + " Waypoint: Upper Alton", + "Step 2: Calculate direct distance", + " Start → End: 1591.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16401.0 km", + "Step 4: Calculate detour", + " Detour = 16401.0 - 1591.9 = 14809.1 km", + " Detour % = (14809.1 / 1591.9) × 100 = 930.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 930.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 32.75718, + "lon": 12.37633, + "name": "Al Ajaylat" + }, + "end": { + "lat": -7.73291, + "lon": -79.3015, + "name": "Paiján" + }, + "waypoint": { + "lat": 42.01556, + "lon": 121.65889, + "name": "Fuxin" + }, + "question": "Is Fuxin approximately on the direct path from Al Ajaylat to Paiján?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10627.8, + "via_waypoint_km": 24693.3, + "detour_km": 14065.5, + "detour_percent": 132.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Al Ajaylat", + " End: Paiján", + " Waypoint: Fuxin", + "Step 2: Calculate direct distance", + " Start → End: 10627.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24693.3 km", + "Step 4: Calculate detour", + " Detour = 24693.3 - 10627.8 = 14065.5 km", + " Detour % = (14065.5 / 10627.8) × 100 = 132.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 132.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -16.11064, + "lon": 46.64383, + "name": "Marovoay" + }, + "end": { + "lat": 11.44503, + "lon": -11.66422, + "name": "Tougué" + }, + "waypoint": { + "lat": 59.33183, + "lon": 18.04118, + "name": "Kungsholmen" + }, + "question": "Is Kungsholmen approximately on the direct path from Marovoay to Tougué?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7107.6, + "via_waypoint_km": 14648.3, + "detour_km": 7540.7, + "detour_percent": 106.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Marovoay", + " End: Tougué", + " Waypoint: Kungsholmen", + "Step 2: Calculate direct distance", + " Start → End: 7107.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14648.3 km", + "Step 4: Calculate detour", + " Detour = 14648.3 - 7107.6 = 7540.7 km", + " Detour % = (7540.7 / 7107.6) × 100 = 106.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 106.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.26956, + "lon": 22.50608, + "name": "Kateríni" + }, + "end": { + "lat": 32.74948, + "lon": 36.30582, + "name": "Al Ḩirāk" + }, + "waypoint": { + "lat": 9.55451, + "lon": -69.19564, + "name": "Acarigua" + }, + "question": "Is Acarigua approximately on the direct path from Kateríni to Al Ḩirāk?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1487.3, + "via_waypoint_km": 20315.8, + "detour_km": 18828.6, + "detour_percent": 1266.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kateríni", + " End: Al Ḩirāk", + " Waypoint: Acarigua", + "Step 2: Calculate direct distance", + " Start → End: 1487.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20315.8 km", + "Step 4: Calculate detour", + " Detour = 20315.8 - 1487.3 = 18828.6 km", + " Detour % = (18828.6 / 1487.3) × 100 = 1266.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1266.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.78472, + "lon": 127.58194, + "name": "Jungpyong" + }, + "end": { + "lat": 51.99, + "lon": 4.49861, + "name": "Bergschenhoek" + }, + "waypoint": { + "lat": 40.84394, + "lon": 14.0952, + "name": "Pozzuoli" + }, + "question": "Is Pozzuoli approximately on the direct path from Jungpyong to Bergschenhoek?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8707.8, + "via_waypoint_km": 10485.7, + "detour_km": 1777.9, + "detour_percent": 20.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Jungpyong", + " End: Bergschenhoek", + " Waypoint: Pozzuoli", + "Step 2: Calculate direct distance", + " Start → End: 8707.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10485.7 km", + "Step 4: Calculate detour", + " Detour = 10485.7 - 8707.8 = 1777.9 km", + " Detour % = (1777.9 / 8707.8) × 100 = 20.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 20.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 10.03863, + "lon": -67.48938, + "name": "Villa de Cura" + }, + "end": { + "lat": 7.235, + "lon": -8.98444, + "name": "Ganta" + }, + "waypoint": { + "lat": 48.67882, + "lon": 26.58516, + "name": "Kamianets-Podilskyi" + }, + "question": "Is Kamianets-Podilskyi approximately on the direct path from Villa de Cura to Ganta?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6431.5, + "via_waypoint_km": 15154.0, + "detour_km": 8722.5, + "detour_percent": 135.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Villa de Cura", + " End: Ganta", + " Waypoint: Kamianets-Podilskyi", + "Step 2: Calculate direct distance", + " Start → End: 6431.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15154.0 km", + "Step 4: Calculate detour", + " Detour = 15154.0 - 6431.5 = 8722.5 km", + " Detour % = (8722.5 / 6431.5) × 100 = 135.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 135.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 61.61945, + "lon": 72.15546, + "name": "Lyantor" + }, + "end": { + "lat": 11.78935, + "lon": 7.62061, + "name": "Malumfashi" + }, + "waypoint": { + "lat": -17.63333, + "lon": -149.6, + "name": "Punaauia" + }, + "question": "Is Punaauia approximately on the direct path from Lyantor to Malumfashi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7525.4, + "via_waypoint_km": 31625.5, + "detour_km": 24100.1, + "detour_percent": 320.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Lyantor", + " End: Malumfashi", + " Waypoint: Punaauia", + "Step 2: Calculate direct distance", + " Start → End: 7525.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 31625.5 km", + "Step 4: Calculate detour", + " Detour = 31625.5 - 7525.4 = 24100.1 km", + " Detour % = (24100.1 / 7525.4) × 100 = 320.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 320.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.18035, + "lon": 14.43494, + "name": "Bautzen" + }, + "end": { + "lat": -24.22083, + "lon": -48.76556, + "name": "Ribeirão Branco" + }, + "waypoint": { + "lat": -7.77833, + "lon": -39.94111, + "name": "Bodocó" + }, + "question": "Is Bodocó approximately on the direct path from Bautzen to Ribeirão Branco?", + "ground_truth": { + "answer": true, + "direct_distance_km": 10402.0, + "via_waypoint_km": 10411.5, + "detour_km": 9.4, + "detour_percent": 0.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bautzen", + " End: Ribeirão Branco", + " Waypoint: Bodocó", + "Step 2: Calculate direct distance", + " Start → End: 10402.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10411.5 km", + "Step 4: Calculate detour", + " Detour = 10411.5 - 10402.0 = 9.4 km", + " Detour % = (9.4 / 10402.0) × 100 = 0.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.1% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 39.76006, + "lon": 46.74989, + "name": "Şuşa" + }, + "end": { + "lat": 43.54594, + "lon": -80.25599, + "name": "Guelph" + }, + "waypoint": { + "lat": -31.09048, + "lon": 150.92905, + "name": "Tamworth" + }, + "question": "Is Tamworth approximately on the direct path from Şuşa to Guelph?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9335.7, + "via_waypoint_km": 28642.1, + "detour_km": 19306.4, + "detour_percent": 206.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Şuşa", + " End: Guelph", + " Waypoint: Tamworth", + "Step 2: Calculate direct distance", + " Start → End: 9335.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 28642.1 km", + "Step 4: Calculate detour", + " Detour = 28642.1 - 9335.7 = 19306.4 km", + " Detour % = (19306.4 / 9335.7) × 100 = 206.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 206.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 35.01361, + "lon": -1.74799, + "name": "Nedroma" + }, + "end": { + "lat": 51.3281, + "lon": 8.00369, + "name": "Sundern" + }, + "waypoint": { + "lat": -17.73111, + "lon": -49.09944, + "name": "Morrinhos" + }, + "question": "Is Morrinhos approximately on the direct path from Nedroma to Sundern?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1974.9, + "via_waypoint_km": 17166.0, + "detour_km": 15191.1, + "detour_percent": 769.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Nedroma", + " End: Sundern", + " Waypoint: Morrinhos", + "Step 2: Calculate direct distance", + " Start → End: 1974.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17166.0 km", + "Step 4: Calculate detour", + " Detour = 17166.0 - 1974.9 = 15191.1 km", + " Detour % = (15191.1 / 1974.9) × 100 = 769.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 769.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -14.94473, + "lon": 38.32362, + "name": "Ribáuè" + }, + "end": { + "lat": 47.48919, + "lon": 19.07012, + "name": "Budapest VIII. kerület" + }, + "waypoint": { + "lat": -28.62145, + "lon": -49.02529, + "name": "Jaguaruna" + }, + "question": "Is Jaguaruna approximately on the direct path from Ribáuè to Budapest VIII. kerület?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7202.1, + "via_waypoint_km": 19815.8, + "detour_km": 12613.7, + "detour_percent": 175.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ribáuè", + " End: Budapest VIII. kerület", + " Waypoint: Jaguaruna", + "Step 2: Calculate direct distance", + " Start → End: 7202.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19815.8 km", + "Step 4: Calculate detour", + " Detour = 19815.8 - 7202.1 = 12613.7 km", + " Detour % = (12613.7 / 7202.1) × 100 = 175.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 175.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -27.59444, + "lon": -48.60694, + "name": "Campinas" + }, + "end": { + "lat": 7.29861, + "lon": -61.50497, + "name": "Tumeremo" + }, + "waypoint": { + "lat": 21.07268, + "lon": 40.31842, + "name": "Ash Shafā" + }, + "question": "Is Ash Shafā approximately on the direct path from Campinas to Tumeremo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4120.5, + "via_waypoint_km": 21901.5, + "detour_km": 17781.0, + "detour_percent": 431.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Campinas", + " End: Tumeremo", + " Waypoint: Ash Shafā", + "Step 2: Calculate direct distance", + " Start → End: 4120.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21901.5 km", + "Step 4: Calculate detour", + " Detour = 21901.5 - 4120.5 = 17781.0 km", + " Detour % = (17781.0 / 4120.5) × 100 = 431.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 431.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -18.59222, + "lon": -48.705, + "name": "Tupaciguara" + }, + "end": { + "lat": -23.48874, + "lon": -46.57762, + "name": "Vila Medeiros" + }, + "waypoint": { + "lat": 35.91222, + "lon": 116.31167, + "name": "Zhoucheng" + }, + "question": "Is Zhoucheng approximately on the direct path from Tupaciguara to Vila Medeiros?", + "ground_truth": { + "answer": false, + "direct_distance_km": 587.5, + "via_waypoint_km": 35459.5, + "detour_km": 34872.0, + "detour_percent": 5935.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tupaciguara", + " End: Vila Medeiros", + " Waypoint: Zhoucheng", + "Step 2: Calculate direct distance", + " Start → End: 587.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 35459.5 km", + "Step 4: Calculate detour", + " Detour = 35459.5 - 587.5 = 34872.0 km", + " Detour % = (34872.0 / 587.5) × 100 = 5935.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 5935.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 29.70523, + "lon": -95.12382, + "name": "Deer Park" + }, + "end": { + "lat": -20.23333, + "lon": 47.38333, + "name": "Fandriana" + }, + "waypoint": { + "lat": 23.36306, + "lon": 104.25047, + "name": "Wenshan City" + }, + "question": "Is Wenshan City approximately on the direct path from Deer Park to Fandriana?", + "ground_truth": { + "answer": false, + "direct_distance_km": 16110.6, + "via_waypoint_km": 21601.7, + "detour_km": 5491.0, + "detour_percent": 34.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Deer Park", + " End: Fandriana", + " Waypoint: Wenshan City", + "Step 2: Calculate direct distance", + " Start → End: 16110.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21601.7 km", + "Step 4: Calculate detour", + " Detour = 21601.7 - 16110.6 = 5491.0 km", + " Detour % = (5491.0 / 16110.6) × 100 = 34.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 34.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 43.29458, + "lon": 68.25685, + "name": "Turkestan" + }, + "end": { + "lat": 29.80123, + "lon": 72.17398, + "name": "Mailsi" + }, + "waypoint": { + "lat": 45.70875, + "lon": 4.85325, + "name": "Saint-Fons" + }, + "question": "Is Saint-Fons approximately on the direct path from Turkestan to Mailsi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1540.2, + "via_waypoint_km": 10893.0, + "detour_km": 9352.9, + "detour_percent": 607.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Turkestan", + " End: Mailsi", + " Waypoint: Saint-Fons", + "Step 2: Calculate direct distance", + " Start → End: 1540.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10893.0 km", + "Step 4: Calculate detour", + " Detour = 10893.0 - 1540.2 = 9352.9 km", + " Detour % = (9352.9 / 1540.2) × 100 = 607.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 607.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 6.71897, + "lon": -1.61188, + "name": "New Tafo" + }, + "end": { + "lat": 36.75583, + "lon": 10.11833, + "name": "Sejoumi" + }, + "waypoint": { + "lat": 38.3618, + "lon": 77.12973, + "name": "Wudalike" + }, + "question": "Is Wudalike approximately on the direct path from New Tafo to Sejoumi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3545.7, + "via_waypoint_km": 14337.4, + "detour_km": 10791.7, + "detour_percent": 304.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: New Tafo", + " End: Sejoumi", + " Waypoint: Wudalike", + "Step 2: Calculate direct distance", + " Start → End: 3545.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14337.4 km", + "Step 4: Calculate detour", + " Detour = 14337.4 - 3545.7 = 10791.7 km", + " Detour % = (10791.7 / 3545.7) × 100 = 304.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 304.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 41.27954, + "lon": -72.8151, + "name": "Branford" + }, + "end": { + "lat": -29.62861, + "lon": -50.83472, + "name": "Parobé" + }, + "waypoint": { + "lat": -26.26781, + "lon": 27.85849, + "name": "Soweto" + }, + "question": "Is Soweto approximately on the direct path from Branford to Parobé?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8202.1, + "via_waypoint_km": 20328.3, + "detour_km": 12126.1, + "detour_percent": 147.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Branford", + " End: Parobé", + " Waypoint: Soweto", + "Step 2: Calculate direct distance", + " Start → End: 8202.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20328.3 km", + "Step 4: Calculate detour", + " Detour = 20328.3 - 8202.1 = 12126.1 km", + " Detour % = (12126.1 / 8202.1) × 100 = 147.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 147.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.742, + "lon": -4.09291, + "name": "Torre del Mar" + }, + "end": { + "lat": 34.46667, + "lon": 135.36667, + "name": "Kishiwada" + }, + "waypoint": { + "lat": 43.06057, + "lon": -88.10648, + "name": "Brookfield" + }, + "question": "Is Brookfield approximately on the direct path from Torre del Mar to Kishiwada?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11054.1, + "via_waypoint_km": 17224.8, + "detour_km": 6170.7, + "detour_percent": 55.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Torre del Mar", + " End: Kishiwada", + " Waypoint: Brookfield", + "Step 2: Calculate direct distance", + " Start → End: 11054.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17224.8 km", + "Step 4: Calculate detour", + " Detour = 17224.8 - 11054.1 = 6170.7 km", + " Detour % = (6170.7 / 11054.1) × 100 = 55.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 55.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 5.54481, + "lon": -73.35756, + "name": "Tunja" + }, + "end": { + "lat": -10.49167, + "lon": -37.19333, + "name": "Nossa Senhora das Dores" + }, + "waypoint": { + "lat": 14.71889, + "lon": -90.64417, + "name": "San Juan Sacatepéquez" + }, + "question": "Is San Juan Sacatepéquez approximately on the direct path from Tunja to Nossa Senhora das Dores?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4383.2, + "via_waypoint_km": 8670.5, + "detour_km": 4287.3, + "detour_percent": 97.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tunja", + " End: Nossa Senhora das Dores", + " Waypoint: San Juan Sacatepéquez", + "Step 2: Calculate direct distance", + " Start → End: 4383.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 8670.5 km", + "Step 4: Calculate detour", + " Detour = 8670.5 - 4383.2 = 4287.3 km", + " Detour % = (4287.3 / 4383.2) × 100 = 97.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 97.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 29.07441, + "lon": 31.09785, + "name": "Banī Suwayf" + }, + "end": { + "lat": 30.82589, + "lon": 108.02866, + "name": "Houshan" + }, + "waypoint": { + "lat": 42.3876, + "lon": -71.00366, + "name": "Orient Heights" + }, + "question": "Is Orient Heights approximately on the direct path from Banī Suwayf to Houshan?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7255.0, + "via_waypoint_km": 20648.5, + "detour_km": 13393.5, + "detour_percent": 184.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Banī Suwayf", + " End: Houshan", + " Waypoint: Orient Heights", + "Step 2: Calculate direct distance", + " Start → End: 7255.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20648.5 km", + "Step 4: Calculate detour", + " Detour = 20648.5 - 7255.0 = 13393.5 km", + " Detour % = (13393.5 / 7255.0) × 100 = 184.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 184.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 43.76481, + "lon": -79.45606, + "name": "Bathurst Manor" + }, + "end": { + "lat": 35.26266, + "lon": -77.58164, + "name": "Kinston" + }, + "waypoint": { + "lat": -14.79722, + "lon": -57.28806, + "name": "Nova Olímpia" + }, + "question": "Is Nova Olímpia approximately on the direct path from Bathurst Manor to Kinston?", + "ground_truth": { + "answer": false, + "direct_distance_km": 958.9, + "via_waypoint_km": 12854.0, + "detour_km": 11895.1, + "detour_percent": 1240.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bathurst Manor", + " End: Kinston", + " Waypoint: Nova Olímpia", + "Step 2: Calculate direct distance", + " Start → End: 958.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12854.0 km", + "Step 4: Calculate detour", + " Detour = 12854.0 - 958.9 = 11895.1 km", + " Detour % = (11895.1 / 958.9) × 100 = 1240.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1240.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 30.16036, + "lon": 105.93403, + "name": "Shanghe" + }, + "end": { + "lat": 47.91933, + "lon": 7.69045, + "name": "Unterkrozingen" + }, + "waypoint": { + "lat": -0.45139, + "lon": 30.11333, + "name": "Kyamahungu" + }, + "question": "Is Kyamahungu approximately on the direct path from Shanghe to Unterkrozingen?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8134.2, + "via_waypoint_km": 14472.2, + "detour_km": 6337.9, + "detour_percent": 77.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Shanghe", + " End: Unterkrozingen", + " Waypoint: Kyamahungu", + "Step 2: Calculate direct distance", + " Start → End: 8134.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14472.2 km", + "Step 4: Calculate detour", + " Detour = 14472.2 - 8134.2 = 6337.9 km", + " Detour % = (6337.9 / 8134.2) × 100 = 77.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 77.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 22.61243, + "lon": 72.92107, + "name": "Kanjari" + }, + "end": { + "lat": 13.99904, + "lon": 100.54962, + "name": "Ban Bang Kadi" + }, + "waypoint": { + "lat": -23.51, + "lon": -46.41566, + "name": "Vila Curuca" + }, + "question": "Is Vila Curuca approximately on the direct path from Kanjari to Ban Bang Kadi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3063.7, + "via_waypoint_km": 30246.7, + "detour_km": 27183.0, + "detour_percent": 887.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kanjari", + " End: Ban Bang Kadi", + " Waypoint: Vila Curuca", + "Step 2: Calculate direct distance", + " Start → End: 3063.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 30246.7 km", + "Step 4: Calculate detour", + " Detour = 30246.7 - 3063.7 = 27183.0 km", + " Detour % = (27183.0 / 3063.7) × 100 = 887.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 887.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 9.6447, + "lon": 14.2151, + "name": "Léré" + }, + "end": { + "lat": 25.61907, + "lon": 83.75576, + "name": "Muhammadābād" + }, + "waypoint": { + "lat": 56.19514, + "lon": -3.17316, + "name": "Glenrothes" + }, + "question": "Is Glenrothes approximately on the direct path from Léré to Muhammadābād?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7502.3, + "via_waypoint_km": 12874.3, + "detour_km": 5372.0, + "detour_percent": 71.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Léré", + " End: Muhammadābād", + " Waypoint: Glenrothes", + "Step 2: Calculate direct distance", + " Start → End: 7502.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12874.3 km", + "Step 4: Calculate detour", + " Detour = 12874.3 - 7502.3 = 5372.0 km", + " Detour % = (5372.0 / 7502.3) × 100 = 71.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 71.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 34.81667, + "lon": 135.41667, + "name": "Kawanishi" + }, + "end": { + "lat": 40.02789, + "lon": -74.86905, + "name": "Willingboro" + }, + "waypoint": { + "lat": 53.34174, + "lon": -2.73124, + "name": "Runcorn" + }, + "question": "Is Runcorn approximately on the direct path from Kawanishi to Willingboro?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11132.4, + "via_waypoint_km": 14862.2, + "detour_km": 3729.9, + "detour_percent": 33.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kawanishi", + " End: Willingboro", + " Waypoint: Runcorn", + "Step 2: Calculate direct distance", + " Start → End: 11132.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14862.2 km", + "Step 4: Calculate detour", + " Detour = 14862.2 - 11132.4 = 3729.9 km", + " Detour % = (3729.9 / 11132.4) × 100 = 33.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 33.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 1.16667, + "lon": 108.96667, + "name": "Pemangkat" + }, + "end": { + "lat": 35.50056, + "lon": 11.06056, + "name": "Zouila" + }, + "waypoint": { + "lat": 53.35, + "lon": -3.01667, + "name": "Bebington" + }, + "question": "Is Bebington approximately on the direct path from Pemangkat to Zouila?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10646.6, + "via_waypoint_km": 13605.0, + "detour_km": 2958.4, + "detour_percent": 27.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Pemangkat", + " End: Zouila", + " Waypoint: Bebington", + "Step 2: Calculate direct distance", + " Start → End: 10646.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13605.0 km", + "Step 4: Calculate detour", + " Detour = 13605.0 - 10646.6 = 2958.4 km", + " Detour % = (2958.4 / 10646.6) × 100 = 27.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 27.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 21.28906, + "lon": -157.71734, + "name": "East Honolulu" + }, + "end": { + "lat": 41.10565, + "lon": -73.39845, + "name": "East Norwalk" + }, + "waypoint": { + "lat": 22.16139, + "lon": 113.55639, + "name": "Zhuojiacun" + }, + "question": "Is Zhuojiacun approximately on the direct path from East Honolulu to East Norwalk?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8011.5, + "via_waypoint_km": 21952.2, + "detour_km": 13940.7, + "detour_percent": 174.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: East Honolulu", + " End: East Norwalk", + " Waypoint: Zhuojiacun", + "Step 2: Calculate direct distance", + " Start → End: 8011.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21952.2 km", + "Step 4: Calculate detour", + " Detour = 21952.2 - 8011.5 = 13940.7 km", + " Detour % = (13940.7 / 8011.5) × 100 = 174.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 174.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 30.57556, + "lon": 2.88417, + "name": "El Menia" + }, + "end": { + "lat": 25.90107, + "lon": 32.72392, + "name": "Naqādah" + }, + "waypoint": { + "lat": 44.56457, + "lon": -123.26204, + "name": "Corvallis" + }, + "question": "Is Corvallis approximately on the direct path from El Menia to Naqādah?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2960.1, + "via_waypoint_km": 21846.9, + "detour_km": 18886.8, + "detour_percent": 638.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: El Menia", + " End: Naqādah", + " Waypoint: Corvallis", + "Step 2: Calculate direct distance", + " Start → End: 2960.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21846.9 km", + "Step 4: Calculate detour", + " Detour = 21846.9 - 2960.1 = 18886.8 km", + " Detour % = (18886.8 / 2960.1) × 100 = 638.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 638.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 41.74845, + "lon": 12.34726, + "name": "Casal Palocco" + }, + "end": { + "lat": -14.79722, + "lon": -57.28806, + "name": "Nova Olímpia" + }, + "waypoint": { + "lat": 13.95532, + "lon": 7.67122, + "name": "Mayahi" + }, + "question": "Is Mayahi approximately on the direct path from Casal Palocco to Nova Olímpia?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9491.2, + "via_waypoint_km": 10950.7, + "detour_km": 1459.5, + "detour_percent": 15.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Casal Palocco", + " End: Nova Olímpia", + " Waypoint: Mayahi", + "Step 2: Calculate direct distance", + " Start → End: 9491.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10950.7 km", + "Step 4: Calculate detour", + " Detour = 10950.7 - 9491.2 = 1459.5 km", + " Detour % = (1459.5 / 9491.2) × 100 = 15.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 15.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 45.61545, + "lon": 9.36801, + "name": "Vimercate" + }, + "end": { + "lat": 23.22714, + "lon": 90.65433, + "name": "Chāndpur" + }, + "waypoint": { + "lat": -6.75333, + "lon": -38.96444, + "name": "Lavras da Mangabeira" + }, + "question": "Is Lavras da Mangabeira approximately on the direct path from Vimercate to Chāndpur?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7529.5, + "via_waypoint_km": 21875.5, + "detour_km": 14346.0, + "detour_percent": 190.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Vimercate", + " End: Chāndpur", + " Waypoint: Lavras da Mangabeira", + "Step 2: Calculate direct distance", + " Start → End: 7529.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21875.5 km", + "Step 4: Calculate detour", + " Detour = 21875.5 - 7529.5 = 14346.0 km", + " Detour % = (14346.0 / 7529.5) × 100 = 190.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 190.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 14.073, + "lon": 5.96, + "name": "Madaoua" + }, + "end": { + "lat": 34.80617, + "lon": -106.73336, + "name": "Los Lunas" + }, + "waypoint": { + "lat": 49.29504, + "lon": 8.69846, + "name": "Wiesloch" + }, + "question": "Is Wiesloch approximately on the direct path from Madaoua to Los Lunas?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11086.0, + "via_waypoint_km": 12631.3, + "detour_km": 1545.2, + "detour_percent": 13.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Madaoua", + " End: Los Lunas", + " Waypoint: Wiesloch", + "Step 2: Calculate direct distance", + " Start → End: 11086.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12631.3 km", + "Step 4: Calculate detour", + " Detour = 12631.3 - 11086.0 = 1545.2 km", + " Detour % = (1545.2 / 11086.0) × 100 = 13.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 13.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 20.34173, + "lon": -77.12126, + "name": "Manzanillo" + }, + "end": { + "lat": 47.50207, + "lon": 19.07218, + "name": "Erzsébetváros" + }, + "waypoint": { + "lat": 11.47197, + "lon": 49.87282, + "name": "Qandala" + }, + "question": "Is Qandala approximately on the direct path from Manzanillo to Erzsébetváros?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8802.9, + "via_waypoint_km": 18154.1, + "detour_km": 9351.2, + "detour_percent": 106.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Manzanillo", + " End: Erzsébetváros", + " Waypoint: Qandala", + "Step 2: Calculate direct distance", + " Start → End: 8802.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18154.1 km", + "Step 4: Calculate detour", + " Detour = 18154.1 - 8802.9 = 9351.2 km", + " Detour % = (9351.2 / 8802.9) × 100 = 106.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 106.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -27.1974, + "lon": 25.98311, + "name": "Wolmaransstad" + }, + "end": { + "lat": 35.44208, + "lon": 36.65095, + "name": "Khān Shaykhūn" + }, + "waypoint": { + "lat": 45.43341, + "lon": -73.86586, + "name": "Beaconsfield" + }, + "question": "Is Beaconsfield approximately on the direct path from Wolmaransstad to Khān Shaykhūn?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7054.7, + "via_waypoint_km": 21497.9, + "detour_km": 14443.2, + "detour_percent": 204.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Wolmaransstad", + " End: Khān Shaykhūn", + " Waypoint: Beaconsfield", + "Step 2: Calculate direct distance", + " Start → End: 7054.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21497.9 km", + "Step 4: Calculate detour", + " Detour = 21497.9 - 7054.7 = 14443.2 km", + " Detour % = (14443.2 / 7054.7) × 100 = 204.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 204.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 27.72297, + "lon": 75.47178, + "name": "Udaipur" + }, + "end": { + "lat": 29.81667, + "lon": 113.46667, + "name": "Xindi" + }, + "waypoint": { + "lat": -22.25278, + "lon": -47.82278, + "name": "Itirapina" + }, + "question": "Is Itirapina approximately on the direct path from Udaipur to Xindi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3694.0, + "via_waypoint_km": 32285.0, + "detour_km": 28591.0, + "detour_percent": 774.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Udaipur", + " End: Xindi", + " Waypoint: Itirapina", + "Step 2: Calculate direct distance", + " Start → End: 3694.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 32285.0 km", + "Step 4: Calculate detour", + " Detour = 32285.0 - 3694.0 = 28591.0 km", + " Detour % = (28591.0 / 3694.0) × 100 = 774.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 774.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 16.7612, + "lon": -93.37426, + "name": "Ocozocoautla de Espinosa" + }, + "end": { + "lat": 24.25612, + "lon": 72.17928, + "name": "Deesa" + }, + "waypoint": { + "lat": 51.67369, + "lon": 8.34482, + "name": "Lippstadt" + }, + "question": "Is Lippstadt approximately on the direct path from Ocozocoautla de Espinosa to Deesa?", + "ground_truth": { + "answer": true, + "direct_distance_km": 15192.3, + "via_waypoint_km": 15464.4, + "detour_km": 272.1, + "detour_percent": 1.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ocozocoautla de Espinosa", + " End: Deesa", + " Waypoint: Lippstadt", + "Step 2: Calculate direct distance", + " Start → End: 15192.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15464.4 km", + "Step 4: Calculate detour", + " Detour = 15464.4 - 15192.3 = 272.1 km", + " Detour % = (272.1 / 15192.3) × 100 = 1.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1.8% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 0.89284, + "lon": 34.92468, + "name": "Kiminini" + }, + "end": { + "lat": 42.06622, + "lon": 48.28759, + "name": "Derbent" + }, + "waypoint": { + "lat": -38.03333, + "lon": 145.35, + "name": "Berwick" + }, + "question": "Is Berwick approximately on the direct path from Kiminini to Derbent?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4769.5, + "via_waypoint_km": 25076.4, + "detour_km": 20306.9, + "detour_percent": 425.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kiminini", + " End: Derbent", + " Waypoint: Berwick", + "Step 2: Calculate direct distance", + " Start → End: 4769.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25076.4 km", + "Step 4: Calculate detour", + " Detour = 25076.4 - 4769.5 = 20306.9 km", + " Detour % = (20306.9 / 4769.5) × 100 = 425.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 425.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 50.13423, + "lon": 8.91418, + "name": "Hanau am Main" + }, + "end": { + "lat": -37.97695, + "lon": 145.25866, + "name": "Endeavour Hills" + }, + "waypoint": { + "lat": 23.01516, + "lon": 71.18029, + "name": "Halvad" + }, + "question": "Is Halvad approximately on the direct path from Hanau am Main to Endeavour Hills?", + "ground_truth": { + "answer": true, + "direct_distance_km": 16336.3, + "via_waypoint_km": 16379.8, + "detour_km": 43.5, + "detour_percent": 0.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Hanau am Main", + " End: Endeavour Hills", + " Waypoint: Halvad", + "Step 2: Calculate direct distance", + " Start → End: 16336.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16379.8 km", + "Step 4: Calculate detour", + " Detour = 16379.8 - 16336.3 = 43.5 km", + " Detour % = (43.5 / 16336.3) × 100 = 0.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.3% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 41.09978, + "lon": -80.64952, + "name": "Youngstown" + }, + "end": { + "lat": 43.46004, + "lon": -84.00674, + "name": "Saginaw Township North" + }, + "waypoint": { + "lat": -27.3887, + "lon": 26.61701, + "name": "Bothaville" + }, + "question": "Is Bothaville approximately on the direct path from Youngstown to Saginaw Township North?", + "ground_truth": { + "answer": false, + "direct_distance_km": 380.9, + "via_waypoint_km": 27018.6, + "detour_km": 26637.7, + "detour_percent": 6992.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Youngstown", + " End: Saginaw Township North", + " Waypoint: Bothaville", + "Step 2: Calculate direct distance", + " Start → End: 380.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27018.6 km", + "Step 4: Calculate detour", + " Detour = 27018.6 - 380.9 = 26637.7 km", + " Detour % = (26637.7 / 380.9) × 100 = 6992.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 6992.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -2.00082, + "lon": -54.08102, + "name": "Monte Alegre" + }, + "end": { + "lat": -22.92389, + "lon": -45.46167, + "name": "Pindamonhangaba" + }, + "waypoint": { + "lat": 11.20516, + "lon": 78.15118, + "name": "Periyapatti" + }, + "question": "Is Periyapatti approximately on the direct path from Monte Alegre to Pindamonhangaba?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2505.5, + "via_waypoint_km": 28565.3, + "detour_km": 26059.9, + "detour_percent": 1040.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Monte Alegre", + " End: Pindamonhangaba", + " Waypoint: Periyapatti", + "Step 2: Calculate direct distance", + " Start → End: 2505.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 28565.3 km", + "Step 4: Calculate detour", + " Detour = 28565.3 - 2505.5 = 26059.9 km", + " Detour % = (26059.9 / 2505.5) × 100 = 1040.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1040.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -1.36553, + "lon": -79.90507, + "name": "Balzar" + }, + "end": { + "lat": -15.22611, + "lon": -59.33528, + "name": "Pontes e Lacerda" + }, + "waypoint": { + "lat": 36.60466, + "lon": 3.98437, + "name": "Maâtkas" + }, + "question": "Is Maâtkas approximately on the direct path from Balzar to Pontes e Lacerda?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2733.2, + "via_waypoint_km": 18335.3, + "detour_km": 15602.1, + "detour_percent": 570.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Balzar", + " End: Pontes e Lacerda", + " Waypoint: Maâtkas", + "Step 2: Calculate direct distance", + " Start → End: 2733.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18335.3 km", + "Step 4: Calculate detour", + " Detour = 18335.3 - 2733.2 = 15602.1 km", + " Detour % = (15602.1 / 2733.2) × 100 = 570.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 570.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 55.04552, + "lon": 60.10756, + "name": "Miass" + }, + "end": { + "lat": 41.82392, + "lon": -87.85173, + "name": "Brookfield" + }, + "waypoint": { + "lat": -33.56668, + "lon": 18.48335, + "name": "Atlantis" + }, + "question": "Is Atlantis approximately on the direct path from Miass to Brookfield?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8824.4, + "via_waypoint_km": 24289.2, + "detour_km": 15464.8, + "detour_percent": 175.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Miass", + " End: Brookfield", + " Waypoint: Atlantis", + "Step 2: Calculate direct distance", + " Start → End: 8824.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24289.2 km", + "Step 4: Calculate detour", + " Detour = 24289.2 - 8824.4 = 15464.8 km", + " Detour % = (15464.8 / 8824.4) × 100 = 175.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 175.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 37.79842, + "lon": 21.35068, + "name": "Amaliáda" + }, + "end": { + "lat": 45.61236, + "lon": 9.23985, + "name": "Lissone" + }, + "waypoint": { + "lat": 25.68863, + "lon": 100.15894, + "name": "Dali Old Town" + }, + "question": "Is Dali Old Town approximately on the direct path from Amaliáda to Lissone?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1326.2, + "via_waypoint_km": 15427.4, + "detour_km": 14101.2, + "detour_percent": 1063.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Amaliáda", + " End: Lissone", + " Waypoint: Dali Old Town", + "Step 2: Calculate direct distance", + " Start → End: 1326.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15427.4 km", + "Step 4: Calculate detour", + " Detour = 15427.4 - 1326.2 = 14101.2 km", + " Detour % = (14101.2 / 1326.2) × 100 = 1063.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1063.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -24.18472, + "lon": -53.0275, + "name": "Goioerê" + }, + "end": { + "lat": 10.2831, + "lon": -66.37591, + "name": "Caucagua" + }, + "waypoint": { + "lat": -4.56444, + "lon": -38.92222, + "name": "Itapiúna" + }, + "question": "Is Itapiúna approximately on the direct path from Goioerê to Caucagua?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4097.7, + "via_waypoint_km": 6112.9, + "detour_km": 2015.2, + "detour_percent": 49.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Goioerê", + " End: Caucagua", + " Waypoint: Itapiúna", + "Step 2: Calculate direct distance", + " Start → End: 4097.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 6112.9 km", + "Step 4: Calculate detour", + " Detour = 6112.9 - 4097.7 = 2015.2 km", + " Detour % = (2015.2 / 4097.7) × 100 = 49.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 49.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.17416, + "lon": 18.17032, + "name": "Galatina" + }, + "end": { + "lat": 33.37642, + "lon": -117.25115, + "name": "Fallbrook" + }, + "waypoint": { + "lat": 5.33096, + "lon": 100.28296, + "name": "Relau" + }, + "question": "Is Relau approximately on the direct path from Galatina to Fallbrook?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10643.1, + "via_waypoint_km": 23128.9, + "detour_km": 12485.8, + "detour_percent": 117.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Galatina", + " End: Fallbrook", + " Waypoint: Relau", + "Step 2: Calculate direct distance", + " Start → End: 10643.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23128.9 km", + "Step 4: Calculate detour", + " Detour = 23128.9 - 10643.1 = 12485.8 km", + " Detour % = (12485.8 / 10643.1) × 100 = 117.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 117.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 9.55451, + "lon": -69.19564, + "name": "Acarigua" + }, + "end": { + "lat": 34.95303, + "lon": -120.43572, + "name": "Santa Maria" + }, + "waypoint": { + "lat": 52.34006, + "lon": 21.24207, + "name": "Wołomin" + }, + "question": "Is Wołomin approximately on the direct path from Acarigua to Santa Maria?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5899.0, + "via_waypoint_km": 18818.3, + "detour_km": 12919.3, + "detour_percent": 219.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Acarigua", + " End: Santa Maria", + " Waypoint: Wołomin", + "Step 2: Calculate direct distance", + " Start → End: 5899.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18818.3 km", + "Step 4: Calculate detour", + " Detour = 18818.3 - 5899.0 = 12919.3 km", + " Detour % = (12919.3 / 5899.0) × 100 = 219.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 219.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 56.7979, + "lon": 105.78657, + "name": "Ust’-Kut" + }, + "end": { + "lat": 49.03894, + "lon": 2.07805, + "name": "Cergy-Pontoise" + }, + "waypoint": { + "lat": 4.89972, + "lon": -75.8825, + "name": "La Virginia" + }, + "question": "Is La Virginia approximately on the direct path from Ust’-Kut to Cergy-Pontoise?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6321.7, + "via_waypoint_km": 21872.9, + "detour_km": 15551.2, + "detour_percent": 246.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ust’-Kut", + " End: Cergy-Pontoise", + " Waypoint: La Virginia", + "Step 2: Calculate direct distance", + " Start → End: 6321.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21872.9 km", + "Step 4: Calculate detour", + " Detour = 21872.9 - 6321.7 = 15551.2 km", + " Detour % = (15551.2 / 6321.7) × 100 = 246.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 246.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 5.35328, + "lon": 5.50826, + "name": "Burutu" + }, + "end": { + "lat": 36.97412, + "lon": -122.0308, + "name": "Santa Cruz" + }, + "waypoint": { + "lat": -3.47222, + "lon": -51.19778, + "name": "Anapu" + }, + "question": "Is Anapu approximately on the direct path from Burutu to Santa Cruz?", + "ground_truth": { + "answer": false, + "direct_distance_km": 12829.1, + "via_waypoint_km": 14933.3, + "detour_km": 2104.2, + "detour_percent": 16.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Burutu", + " End: Santa Cruz", + " Waypoint: Anapu", + "Step 2: Calculate direct distance", + " Start → End: 12829.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14933.3 km", + "Step 4: Calculate detour", + " Detour = 14933.3 - 12829.1 = 2104.2 km", + " Detour % = (2104.2 / 12829.1) × 100 = 16.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 16.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 35.76478, + "lon": 139.60216, + "name": "Ōizumimachi" + }, + "end": { + "lat": -7.63306, + "lon": 109.24611, + "name": "Kroya" + }, + "waypoint": { + "lat": 50.8496, + "lon": 3.5873, + "name": "Bevere" + }, + "question": "Is Bevere approximately on the direct path from Ōizumimachi to Kroya?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5776.6, + "via_waypoint_km": 21229.6, + "detour_km": 15453.0, + "detour_percent": 267.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ōizumimachi", + " End: Kroya", + " Waypoint: Bevere", + "Step 2: Calculate direct distance", + " Start → End: 5776.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21229.6 km", + "Step 4: Calculate detour", + " Detour = 21229.6 - 5776.6 = 15453.0 km", + " Detour % = (15453.0 / 5776.6) × 100 = 267.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 267.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.58774, + "lon": -2.99835, + "name": "Newport" + }, + "end": { + "lat": 20.7565, + "lon": -103.44297, + "name": "Nuevo México" + }, + "waypoint": { + "lat": -27.80047, + "lon": -64.26285, + "name": "Santiago del Estero" + }, + "question": "Is Santiago del Estero approximately on the direct path from Newport to Nuevo México?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8903.9, + "via_waypoint_km": 17501.1, + "detour_km": 8597.2, + "detour_percent": 96.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Newport", + " End: Nuevo México", + " Waypoint: Santiago del Estero", + "Step 2: Calculate direct distance", + " Start → End: 8903.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17501.1 km", + "Step 4: Calculate detour", + " Detour = 17501.1 - 8903.9 = 8597.2 km", + " Detour % = (8597.2 / 8903.9) × 100 = 96.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 96.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 12.01292, + "lon": -83.76449, + "name": "Bluefields" + }, + "end": { + "lat": -20.58333, + "lon": 48.53333, + "name": "Nosy Varika" + }, + "waypoint": { + "lat": -2.2386, + "lon": 29.2929, + "name": "Mahembe" + }, + "question": "Is Mahembe approximately on the direct path from Bluefields to Nosy Varika?", + "ground_truth": { + "answer": true, + "direct_distance_km": 14853.7, + "via_waypoint_km": 15484.3, + "detour_km": 630.6, + "detour_percent": 4.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bluefields", + " End: Nosy Varika", + " Waypoint: Mahembe", + "Step 2: Calculate direct distance", + " Start → End: 14853.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15484.3 km", + "Step 4: Calculate detour", + " Detour = 15484.3 - 14853.7 = 630.6 km", + " Detour % = (630.6 / 14853.7) × 100 = 4.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 4.2% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 29.74975, + "lon": 73.24294, + "name": "Dunga Bunga" + }, + "end": { + "lat": 27.20583, + "lon": 31.19639, + "name": "An Nāşirīyah" + }, + "waypoint": { + "lat": 5.55602, + "lon": -0.1969, + "name": "Accra" + }, + "question": "Is Accra approximately on the direct path from Dunga Bunga to An Nāşirīyah?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4096.9, + "via_waypoint_km": 12205.2, + "detour_km": 8108.3, + "detour_percent": 197.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Dunga Bunga", + " End: An Nāşirīyah", + " Waypoint: Accra", + "Step 2: Calculate direct distance", + " Start → End: 4096.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12205.2 km", + "Step 4: Calculate detour", + " Detour = 12205.2 - 4096.9 = 8108.3 km", + " Detour % = (8108.3 / 4096.9) × 100 = 197.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 197.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -32.63021, + "lon": -62.68883, + "name": "Bell Ville" + }, + "end": { + "lat": 10.02502, + "lon": -74.62279, + "name": "Chivolo" + }, + "waypoint": { + "lat": 30.7142, + "lon": 31.24425, + "name": "Zefta" + }, + "question": "Is Zefta approximately on the direct path from Bell Ville to Chivolo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4909.2, + "via_waypoint_km": 23035.7, + "detour_km": 18126.5, + "detour_percent": 369.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bell Ville", + " End: Chivolo", + " Waypoint: Zefta", + "Step 2: Calculate direct distance", + " Start → End: 4909.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23035.7 km", + "Step 4: Calculate detour", + " Detour = 23035.7 - 4909.2 = 18126.5 km", + " Detour % = (18126.5 / 4909.2) × 100 = 369.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 369.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 9.3674, + "lon": -83.69713, + "name": "San Isidro" + }, + "end": { + "lat": 38.35083, + "lon": 28.51718, + "name": "Alaşehir" + }, + "waypoint": { + "lat": -7.40409, + "lon": 36.98309, + "name": "Mikumi" + }, + "question": "Is Mikumi approximately on the direct path from San Isidro to Alaşehir?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11235.5, + "via_waypoint_km": 18655.8, + "detour_km": 7420.3, + "detour_percent": 66.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: San Isidro", + " End: Alaşehir", + " Waypoint: Mikumi", + "Step 2: Calculate direct distance", + " Start → End: 11235.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18655.8 km", + "Step 4: Calculate detour", + " Detour = 18655.8 - 11235.5 = 7420.3 km", + " Detour % = (7420.3 / 11235.5) × 100 = 66.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 66.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 43.19277, + "lon": 44.53274, + "name": "Beslan" + }, + "end": { + "lat": -12.3644, + "lon": 13.53601, + "name": "Lobito" + }, + "waypoint": { + "lat": -33.51421, + "lon": -70.7651, + "name": "Maipú" + }, + "question": "Is Maipú approximately on the direct path from Beslan to Lobito?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6934.3, + "via_waypoint_km": 23143.4, + "detour_km": 16209.1, + "detour_percent": 233.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Beslan", + " End: Lobito", + " Waypoint: Maipú", + "Step 2: Calculate direct distance", + " Start → End: 6934.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23143.4 km", + "Step 4: Calculate detour", + " Detour = 23143.4 - 6934.3 = 16209.1 km", + " Detour % = (16209.1 / 6934.3) × 100 = 233.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 233.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -37.76722, + "lon": 144.76657, + "name": "Deer Park" + }, + "end": { + "lat": 51.84034, + "lon": 16.57494, + "name": "Leszno" + }, + "waypoint": { + "lat": 12.59371, + "lon": 6.58648, + "name": "Kaura Namoda" + }, + "question": "Is Kaura Namoda approximately on the direct path from Deer Park to Leszno?", + "ground_truth": { + "answer": false, + "direct_distance_km": 15743.8, + "via_waypoint_km": 19479.0, + "detour_km": 3735.2, + "detour_percent": 23.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Deer Park", + " End: Leszno", + " Waypoint: Kaura Namoda", + "Step 2: Calculate direct distance", + " Start → End: 15743.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19479.0 km", + "Step 4: Calculate detour", + " Detour = 19479.0 - 15743.8 = 3735.2 km", + " Detour % = (3735.2 / 15743.8) × 100 = 23.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 23.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 50.59883, + "lon": 3.09056, + "name": "Ronchin" + }, + "end": { + "lat": 43.03834, + "lon": 19.74758, + "name": "Bijelo Polje" + }, + "waypoint": { + "lat": 37.65042, + "lon": -77.61249, + "name": "Short Pump" + }, + "question": "Is Short Pump approximately on the direct path from Ronchin to Bijelo Polje?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1515.6, + "via_waypoint_km": 14051.5, + "detour_km": 12535.9, + "detour_percent": 827.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ronchin", + " End: Bijelo Polje", + " Waypoint: Short Pump", + "Step 2: Calculate direct distance", + " Start → End: 1515.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14051.5 km", + "Step 4: Calculate detour", + " Detour = 14051.5 - 1515.6 = 12535.9 km", + " Detour % = (12535.9 / 1515.6) × 100 = 827.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 827.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 44.41344, + "lon": 12.20121, + "name": "Ravenna" + }, + "end": { + "lat": 51.66801, + "lon": 9.37417, + "name": "Beverungen" + }, + "waypoint": { + "lat": 28.50038, + "lon": -13.86272, + "name": "Puerto del Rosario" + }, + "question": "Is Puerto del Rosario approximately on the direct path from Ravenna to Beverungen?", + "ground_truth": { + "answer": false, + "direct_distance_km": 833.4, + "via_waypoint_km": 6122.7, + "detour_km": 5289.2, + "detour_percent": 634.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ravenna", + " End: Beverungen", + " Waypoint: Puerto del Rosario", + "Step 2: Calculate direct distance", + " Start → End: 833.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 6122.7 km", + "Step 4: Calculate detour", + " Detour = 6122.7 - 833.4 = 5289.2 km", + " Detour % = (5289.2 / 833.4) × 100 = 634.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 634.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 30.39603, + "lon": -86.22883, + "name": "Santa Rosa Beach" + }, + "end": { + "lat": 2.15127, + "lon": 21.51672, + "name": "Lisala" + }, + "waypoint": { + "lat": 59.31053, + "lon": 18.16372, + "name": "Nacka" + }, + "question": "Is Nacka approximately on the direct path from Santa Rosa Beach to Lisala?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11576.1, + "via_waypoint_km": 14256.5, + "detour_km": 2680.4, + "detour_percent": 23.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Santa Rosa Beach", + " End: Lisala", + " Waypoint: Nacka", + "Step 2: Calculate direct distance", + " Start → End: 11576.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14256.5 km", + "Step 4: Calculate detour", + " Detour = 14256.5 - 11576.1 = 2680.4 km", + " Detour % = (2680.4 / 11576.1) × 100 = 23.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 23.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 26.89, + "lon": 76.33584, + "name": "Dausa" + }, + "end": { + "lat": -40.91667, + "lon": 175.01667, + "name": "Paraparaumu" + }, + "waypoint": { + "lat": 38.44546, + "lon": -121.8233, + "name": "Dixon" + }, + "question": "Is Dixon approximately on the direct path from Dausa to Paraparaumu?", + "ground_truth": { + "answer": false, + "direct_distance_km": 12615.0, + "via_waypoint_km": 23410.8, + "detour_km": 10795.8, + "detour_percent": 85.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Dausa", + " End: Paraparaumu", + " Waypoint: Dixon", + "Step 2: Calculate direct distance", + " Start → End: 12615.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23410.8 km", + "Step 4: Calculate detour", + " Detour = 23410.8 - 12615.0 = 10795.8 km", + " Detour % = (10795.8 / 12615.0) × 100 = 85.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 85.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 41.44987, + "lon": -72.81892, + "name": "Wallingford Center" + }, + "end": { + "lat": 39.01673, + "lon": -84.60078, + "name": "Erlanger" + }, + "waypoint": { + "lat": -4.09802, + "lon": -38.486, + "name": "Horizonte" + }, + "question": "Is Horizonte approximately on the direct path from Wallingford Center to Erlanger?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1035.2, + "via_waypoint_km": 12871.7, + "detour_km": 11836.6, + "detour_percent": 1143.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Wallingford Center", + " End: Erlanger", + " Waypoint: Horizonte", + "Step 2: Calculate direct distance", + " Start → End: 1035.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12871.7 km", + "Step 4: Calculate detour", + " Detour = 12871.7 - 1035.2 = 11836.6 km", + " Detour % = (11836.6 / 1035.2) × 100 = 1143.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1143.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 4.3324, + "lon": -75.82665, + "name": "Caicedonia" + }, + "end": { + "lat": 51.40065, + "lon": -0.2617, + "name": "New Malden" + }, + "waypoint": { + "lat": 46.64142, + "lon": 124.86283, + "name": "Fendou" + }, + "question": "Is Fendou approximately on the direct path from Caicedonia to New Malden?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8632.8, + "via_waypoint_km": 21913.1, + "detour_km": 13280.3, + "detour_percent": 153.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Caicedonia", + " End: New Malden", + " Waypoint: Fendou", + "Step 2: Calculate direct distance", + " Start → End: 8632.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21913.1 km", + "Step 4: Calculate detour", + " Detour = 21913.1 - 8632.8 = 13280.3 km", + " Detour % = (13280.3 / 8632.8) × 100 = 153.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 153.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 10.45912, + "lon": -74.8797, + "name": "Candelaria" + }, + "end": { + "lat": 33.88724, + "lon": -118.35257, + "name": "Lawndale" + }, + "waypoint": { + "lat": -12.31732, + "lon": 49.29188, + "name": "Antsiranana" + }, + "question": "Is Antsiranana approximately on the direct path from Candelaria to Lawndale?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5124.0, + "via_waypoint_km": 31246.3, + "detour_km": 26122.3, + "detour_percent": 509.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Candelaria", + " End: Lawndale", + " Waypoint: Antsiranana", + "Step 2: Calculate direct distance", + " Start → End: 5124.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 31246.3 km", + "Step 4: Calculate detour", + " Detour = 31246.3 - 5124.0 = 26122.3 km", + " Detour % = (26122.3 / 5124.0) × 100 = 509.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 509.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -8.5413, + "lon": 115.12522, + "name": "Tabanan" + }, + "end": { + "lat": 37.46883, + "lon": -122.14108, + "name": "East Palo Alto" + }, + "waypoint": { + "lat": 48.92161, + "lon": 2.19263, + "name": "Houilles" + }, + "question": "Is Houilles approximately on the direct path from Tabanan to East Palo Alto?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13452.5, + "via_waypoint_km": 21344.2, + "detour_km": 7891.7, + "detour_percent": 58.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tabanan", + " End: East Palo Alto", + " Waypoint: Houilles", + "Step 2: Calculate direct distance", + " Start → End: 13452.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21344.2 km", + "Step 4: Calculate detour", + " Detour = 21344.2 - 13452.5 = 7891.7 km", + " Detour % = (7891.7 / 13452.5) × 100 = 58.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 58.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -23.44077, + "lon": -46.73774, + "name": "Jaraguá" + }, + "end": { + "lat": 11.41667, + "lon": 37.16667, + "name": "Mer’āwī" + }, + "waypoint": { + "lat": 1.37953, + "lon": 103.76286, + "name": "Jelebu" + }, + "question": "Is Jelebu approximately on the direct path from Jaraguá to Mer’āwī?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9900.8, + "via_waypoint_km": 23427.1, + "detour_km": 13526.3, + "detour_percent": 136.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Jaraguá", + " End: Mer’āwī", + " Waypoint: Jelebu", + "Step 2: Calculate direct distance", + " Start → End: 9900.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23427.1 km", + "Step 4: Calculate detour", + " Detour = 23427.1 - 9900.8 = 13526.3 km", + " Detour % = (13526.3 / 9900.8) × 100 = 136.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 136.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 30.05304, + "lon": 107.79426, + "name": "Shizhi" + }, + "end": { + "lat": 35.92506, + "lon": -86.86889, + "name": "Franklin" + }, + "waypoint": { + "lat": 39.03206, + "lon": -76.50274, + "name": "Arnold" + }, + "question": "Is Arnold approximately on the direct path from Shizhi to Franklin?", + "ground_truth": { + "answer": true, + "direct_distance_km": 12520.3, + "via_waypoint_km": 13297.4, + "detour_km": 777.1, + "detour_percent": 6.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Shizhi", + " End: Franklin", + " Waypoint: Arnold", + "Step 2: Calculate direct distance", + " Start → End: 12520.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13297.4 km", + "Step 4: Calculate detour", + " Detour = 13297.4 - 12520.3 = 777.1 km", + " Detour % = (777.1 / 12520.3) × 100 = 6.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 6.2% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -33.74585, + "lon": -61.96711, + "name": "Venado Tuerto" + }, + "end": { + "lat": 33.91724, + "lon": -118.01201, + "name": "La Mirada" + }, + "waypoint": { + "lat": -38.17058, + "lon": 144.3114, + "name": "Highton" + }, + "question": "Is Highton approximately on the direct path from Venado Tuerto to La Mirada?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9526.5, + "via_waypoint_km": 24423.8, + "detour_km": 14897.3, + "detour_percent": 156.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Venado Tuerto", + " End: La Mirada", + " Waypoint: Highton", + "Step 2: Calculate direct distance", + " Start → End: 9526.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24423.8 km", + "Step 4: Calculate detour", + " Detour = 24423.8 - 9526.5 = 14897.3 km", + " Detour % = (14897.3 / 9526.5) × 100 = 156.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 156.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 23.01472, + "lon": 89.43936, + "name": "Bhātpāra Abhaynagar" + }, + "end": { + "lat": 55.8708, + "lon": 12.83016, + "name": "Landskrona" + }, + "waypoint": { + "lat": 51.19807, + "lon": 6.68504, + "name": "Neuss" + }, + "question": "Is Neuss approximately on the direct path from Bhātpāra Abhaynagar to Landskrona?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7082.0, + "via_waypoint_km": 8200.8, + "detour_km": 1118.8, + "detour_percent": 15.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bhātpāra Abhaynagar", + " End: Landskrona", + " Waypoint: Neuss", + "Step 2: Calculate direct distance", + " Start → End: 7082.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 8200.8 km", + "Step 4: Calculate detour", + " Detour = 8200.8 - 7082.0 = 1118.8 km", + " Detour % = (1118.8 / 7082.0) × 100 = 15.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 15.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 13.06269, + "lon": 5.24322, + "name": "Sokoto" + }, + "end": { + "lat": -3.47222, + "lon": -51.19778, + "name": "Anapu" + }, + "waypoint": { + "lat": 52.07667, + "lon": 4.29861, + "name": "The Hague" + }, + "question": "Is The Hague approximately on the direct path from Sokoto to Anapu?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6495.1, + "via_waypoint_km": 12407.1, + "detour_km": 5912.0, + "detour_percent": 91.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sokoto", + " End: Anapu", + " Waypoint: The Hague", + "Step 2: Calculate direct distance", + " Start → End: 6495.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12407.1 km", + "Step 4: Calculate detour", + " Detour = 12407.1 - 6495.1 = 5912.0 km", + " Detour % = (5912.0 / 6495.1) × 100 = 91.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 91.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 29.83885, + "lon": 106.7426, + "name": "Gulu" + }, + "end": { + "lat": -4.55, + "lon": 34.85, + "name": "Mtinko" + }, + "waypoint": { + "lat": 19.84073, + "lon": -90.51676, + "name": "Campeche" + }, + "question": "Is Campeche approximately on the direct path from Gulu to Mtinko?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8533.7, + "via_waypoint_km": 28058.8, + "detour_km": 19525.1, + "detour_percent": 228.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Gulu", + " End: Mtinko", + " Waypoint: Campeche", + "Step 2: Calculate direct distance", + " Start → End: 8533.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 28058.8 km", + "Step 4: Calculate detour", + " Detour = 28058.8 - 8533.7 = 19525.1 km", + " Detour % = (19525.1 / 8533.7) × 100 = 228.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 228.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 35.11755, + "lon": 33.32539, + "name": "Káto Lakatámeia" + }, + "end": { + "lat": 13.31667, + "lon": 33.76667, + "name": "Umm Shawkah" + }, + "waypoint": { + "lat": 12.42417, + "lon": 37.325, + "name": "K’ola Diba" + }, + "question": "Is K’ola Diba approximately on the direct path from Káto Lakatámeia to Umm Shawkah?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2424.6, + "via_waypoint_km": 2953.6, + "detour_km": 529.1, + "detour_percent": 21.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Káto Lakatámeia", + " End: Umm Shawkah", + " Waypoint: K’ola Diba", + "Step 2: Calculate direct distance", + " Start → End: 2424.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 2953.6 km", + "Step 4: Calculate detour", + " Detour = 2953.6 - 2424.6 = 529.1 km", + " Detour % = (529.1 / 2424.6) × 100 = 21.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 21.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 22.79856, + "lon": 39.03493, + "name": "Rābigh" + }, + "end": { + "lat": 32.76622, + "lon": 35.04425, + "name": "Nesher" + }, + "waypoint": { + "lat": -32.32889, + "lon": 115.83047, + "name": "Baldivis" + }, + "question": "Is Baldivis approximately on the direct path from Rābigh to Nesher?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1175.5, + "via_waypoint_km": 21326.6, + "detour_km": 20151.1, + "detour_percent": 1714.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Rābigh", + " End: Nesher", + " Waypoint: Baldivis", + "Step 2: Calculate direct distance", + " Start → End: 1175.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21326.6 km", + "Step 4: Calculate detour", + " Detour = 21326.6 - 1175.5 = 20151.1 km", + " Detour % = (20151.1 / 1175.5) × 100 = 1714.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1714.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 26.00315, + "lon": -80.22394, + "name": "Pembroke Pines" + }, + "end": { + "lat": 45.03333, + "lon": 25.85, + "name": "Băicoi" + }, + "waypoint": { + "lat": 35.24972, + "lon": 128.52, + "name": "Naesŏ" + }, + "question": "Is Naesŏ approximately on the direct path from Pembroke Pines to Băicoi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9149.1, + "via_waypoint_km": 20751.3, + "detour_km": 11602.2, + "detour_percent": 126.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Pembroke Pines", + " End: Băicoi", + " Waypoint: Naesŏ", + "Step 2: Calculate direct distance", + " Start → End: 9149.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20751.3 km", + "Step 4: Calculate detour", + " Detour = 20751.3 - 9149.1 = 11602.2 km", + " Detour % = (11602.2 / 9149.1) × 100 = 126.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 126.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -37.86667, + "lon": 145.28333, + "name": "Boronia" + }, + "end": { + "lat": -8.46887, + "lon": 29.66193, + "name": "Kaputa" + }, + "waypoint": { + "lat": 52.27042, + "lon": -9.70264, + "name": "Tralee" + }, + "question": "Is Tralee approximately on the direct path from Boronia to Kaputa?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11599.3, + "via_waypoint_km": 25222.3, + "detour_km": 13623.0, + "detour_percent": 117.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Boronia", + " End: Kaputa", + " Waypoint: Tralee", + "Step 2: Calculate direct distance", + " Start → End: 11599.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25222.3 km", + "Step 4: Calculate detour", + " Detour = 25222.3 - 11599.3 = 13623.0 km", + " Detour % = (13623.0 / 11599.3) × 100 = 117.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 117.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -15.94861, + "lon": -44.86444, + "name": "São Francisco" + }, + "end": { + "lat": -6.23169, + "lon": -77.86903, + "name": "Chachapoyas" + }, + "waypoint": { + "lat": 14.31222, + "lon": 121.11139, + "name": "Santa Rosa" + }, + "question": "Is Santa Rosa approximately on the direct path from São Francisco to Chachapoyas?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3753.5, + "via_waypoint_km": 36253.5, + "detour_km": 32499.9, + "detour_percent": 865.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: São Francisco", + " End: Chachapoyas", + " Waypoint: Santa Rosa", + "Step 2: Calculate direct distance", + " Start → End: 3753.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 36253.5 km", + "Step 4: Calculate detour", + " Detour = 36253.5 - 3753.5 = 32499.9 km", + " Detour % = (32499.9 / 3753.5) × 100 = 865.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 865.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -37.71667, + "lon": 145.0, + "name": "Reservoir" + }, + "end": { + "lat": 10.65, + "lon": 76.53333, + "name": "Alattūr" + }, + "waypoint": { + "lat": 34.30494, + "lon": -6.30404, + "name": "Sidi Yahia El Gharb" + }, + "question": "Is Sidi Yahia El Gharb approximately on the direct path from Reservoir to Alattūr?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8904.4, + "via_waypoint_km": 26106.3, + "detour_km": 17201.9, + "detour_percent": 193.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Reservoir", + " End: Alattūr", + " Waypoint: Sidi Yahia El Gharb", + "Step 2: Calculate direct distance", + " Start → End: 8904.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26106.3 km", + "Step 4: Calculate detour", + " Detour = 26106.3 - 8904.4 = 17201.9 km", + " Detour % = (17201.9 / 8904.4) × 100 = 193.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 193.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 32.21707, + "lon": 70.38315, + "name": "Tank" + }, + "end": { + "lat": 48.6942, + "lon": 2.49223, + "name": "Brunoy" + }, + "waypoint": { + "lat": 51.925, + "lon": 6.58056, + "name": "Aalten" + }, + "question": "Is Aalten approximately on the direct path from Tank to Brunoy?", + "ground_truth": { + "answer": true, + "direct_distance_km": 5822.4, + "via_waypoint_km": 5961.2, + "detour_km": 138.8, + "detour_percent": 2.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tank", + " End: Brunoy", + " Waypoint: Aalten", + "Step 2: Calculate direct distance", + " Start → End: 5822.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 5961.2 km", + "Step 4: Calculate detour", + " Detour = 5961.2 - 5822.4 = 138.8 km", + " Detour % = (138.8 / 5822.4) × 100 = 2.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2.4% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 50.5107, + "lon": 18.30056, + "name": "Strzelce Opolskie" + }, + "end": { + "lat": 36.09047, + "lon": 140.21047, + "name": "Tsuchiura" + }, + "waypoint": { + "lat": 0.20387, + "lon": 35.105, + "name": "Kapsabet" + }, + "question": "Is Kapsabet approximately on the direct path from Strzelce Opolskie to Tsuchiura?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8835.2, + "via_waypoint_km": 17161.2, + "detour_km": 8325.9, + "detour_percent": 94.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Strzelce Opolskie", + " End: Tsuchiura", + " Waypoint: Kapsabet", + "Step 2: Calculate direct distance", + " Start → End: 8835.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17161.2 km", + "Step 4: Calculate detour", + " Detour = 17161.2 - 8835.2 = 8325.9 km", + " Detour % = (8325.9 / 8835.2) × 100 = 94.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 94.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 7.87687, + "lon": -11.19025, + "name": "Kenema" + }, + "end": { + "lat": 19.34361, + "lon": -98.97472, + "name": "Emiliano Zapata" + }, + "waypoint": { + "lat": 19.67386, + "lon": 77.31149, + "name": "Kalamnūri" + }, + "question": "Is Kalamnūri approximately on the direct path from Kenema to Emiliano Zapata?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9487.6, + "via_waypoint_km": 25215.5, + "detour_km": 15728.0, + "detour_percent": 165.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kenema", + " End: Emiliano Zapata", + " Waypoint: Kalamnūri", + "Step 2: Calculate direct distance", + " Start → End: 9487.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25215.5 km", + "Step 4: Calculate detour", + " Detour = 25215.5 - 9487.6 = 15728.0 km", + " Detour % = (15728.0 / 9487.6) × 100 = 165.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 165.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 4.60226, + "lon": -61.11025, + "name": "Santa Elena de Uairén" + }, + "end": { + "lat": -12.96028, + "lon": -38.60861, + "name": "Vera Cruz" + }, + "waypoint": { + "lat": -6.89028, + "lon": -38.55528, + "name": "Cajazeiras" + }, + "question": "Is Cajazeiras approximately on the direct path from Santa Elena de Uairén to Vera Cruz?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3160.8, + "via_waypoint_km": 3485.6, + "detour_km": 324.8, + "detour_percent": 10.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Santa Elena de Uairén", + " End: Vera Cruz", + " Waypoint: Cajazeiras", + "Step 2: Calculate direct distance", + " Start → End: 3160.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 3485.6 km", + "Step 4: Calculate detour", + " Detour = 3485.6 - 3160.8 = 324.8 km", + " Detour % = (324.8 / 3160.8) × 100 = 10.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 10.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 42.71197, + "lon": 18.34362, + "name": "Trebinje" + }, + "end": { + "lat": 51.09162, + "lon": 6.89217, + "name": "Monheim am Rhein" + }, + "waypoint": { + "lat": 8.87763, + "lon": -79.78007, + "name": "La Chorrera" + }, + "question": "Is La Chorrera approximately on the direct path from Trebinje to Monheim am Rhein?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1271.9, + "via_waypoint_km": 19003.1, + "detour_km": 17731.2, + "detour_percent": 1394.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Trebinje", + " End: Monheim am Rhein", + " Waypoint: La Chorrera", + "Step 2: Calculate direct distance", + " Start → End: 1271.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19003.1 km", + "Step 4: Calculate detour", + " Detour = 19003.1 - 1271.9 = 17731.2 km", + " Detour % = (17731.2 / 1271.9) × 100 = 1394.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1394.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -22.57306, + "lon": -47.1725, + "name": "Artur Nogueira" + }, + "end": { + "lat": 22.21983, + "lon": 72.06755, + "name": "Barwala" + }, + "waypoint": { + "lat": 41.13121, + "lon": -74.36737, + "name": "West Milford" + }, + "question": "Is West Milford approximately on the direct path from Artur Nogueira to Barwala?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13815.3, + "via_waypoint_km": 19784.8, + "detour_km": 5969.6, + "detour_percent": 43.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Artur Nogueira", + " End: Barwala", + " Waypoint: West Milford", + "Step 2: Calculate direct distance", + " Start → End: 13815.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19784.8 km", + "Step 4: Calculate detour", + " Detour = 19784.8 - 13815.3 = 5969.6 km", + " Detour % = (5969.6 / 13815.3) × 100 = 43.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 43.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 34.74807, + "lon": 134.91284, + "name": "Inami" + }, + "end": { + "lat": -11.66278, + "lon": 39.55056, + "name": "Mueda" + }, + "waypoint": { + "lat": 55.6254, + "lon": 37.65032, + "name": "Tsaritsyno" + }, + "question": "Is Tsaritsyno approximately on the direct path from Inami to Mueda?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11228.2, + "via_waypoint_km": 14787.8, + "detour_km": 3559.6, + "detour_percent": 31.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Inami", + " End: Mueda", + " Waypoint: Tsaritsyno", + "Step 2: Calculate direct distance", + " Start → End: 11228.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14787.8 km", + "Step 4: Calculate detour", + " Detour = 14787.8 - 11228.2 = 3559.6 km", + " Detour % = (3559.6 / 11228.2) × 100 = 31.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 31.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -27.93994, + "lon": 153.31436, + "name": "Pacific Pines" + }, + "end": { + "lat": 46.25451, + "lon": 6.95406, + "name": "Monthey" + }, + "waypoint": { + "lat": 48.23251, + "lon": -101.29627, + "name": "Minot" + }, + "question": "Is Minot approximately on the direct path from Pacific Pines to Monthey?", + "ground_truth": { + "answer": false, + "direct_distance_km": 16444.9, + "via_waypoint_km": 20808.3, + "detour_km": 4363.5, + "detour_percent": 26.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Pacific Pines", + " End: Monthey", + " Waypoint: Minot", + "Step 2: Calculate direct distance", + " Start → End: 16444.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20808.3 km", + "Step 4: Calculate detour", + " Detour = 20808.3 - 16444.9 = 4363.5 km", + " Detour % = (4363.5 / 16444.9) × 100 = 26.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 26.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.45625, + "lon": -0.97113, + "name": "Reading" + }, + "end": { + "lat": 40.91698, + "lon": 38.38741, + "name": "Giresun" + }, + "waypoint": { + "lat": 13.86445, + "lon": 121.48792, + "name": "Bignay Uno" + }, + "question": "Is Bignay Uno approximately on the direct path from Reading to Giresun?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3202.0, + "via_waypoint_km": 19314.9, + "detour_km": 16112.8, + "detour_percent": 503.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Reading", + " End: Giresun", + " Waypoint: Bignay Uno", + "Step 2: Calculate direct distance", + " Start → End: 3202.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19314.9 km", + "Step 4: Calculate detour", + " Detour = 19314.9 - 3202.0 = 16112.8 km", + " Detour % = (16112.8 / 3202.0) × 100 = 503.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 503.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 22.8774, + "lon": 88.75479, + "name": "Gobārdānga" + }, + "end": { + "lat": 33.06775, + "lon": 105.26485, + "name": "Luotang" + }, + "waypoint": { + "lat": 45.56034, + "lon": 8.94545, + "name": "Parabiago" + }, + "question": "Is Parabiago approximately on the direct path from Gobārdānga to Luotang?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1973.8, + "via_waypoint_km": 15342.1, + "detour_km": 13368.3, + "detour_percent": 677.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Gobārdānga", + " End: Luotang", + " Waypoint: Parabiago", + "Step 2: Calculate direct distance", + " Start → End: 1973.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15342.1 km", + "Step 4: Calculate detour", + " Detour = 15342.1 - 1973.8 = 13368.3 km", + " Detour % = (13368.3 / 1973.8) × 100 = 677.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 677.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 10.48185, + "lon": 78.15639, + "name": "Ayyalur" + }, + "end": { + "lat": 19.18652, + "lon": -99.07361, + "name": "San Pablo Oztotepec" + }, + "waypoint": { + "lat": -1.01139, + "lon": -48.96333, + "name": "Cachoeira do Arari" + }, + "question": "Is Cachoeira do Arari approximately on the direct path from Ayyalur to San Pablo Oztotepec?", + "ground_truth": { + "answer": false, + "direct_distance_km": 16702.2, + "via_waypoint_km": 19989.1, + "detour_km": 3287.0, + "detour_percent": 19.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ayyalur", + " End: San Pablo Oztotepec", + " Waypoint: Cachoeira do Arari", + "Step 2: Calculate direct distance", + " Start → End: 16702.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19989.1 km", + "Step 4: Calculate detour", + " Detour = 19989.1 - 16702.2 = 3287.0 km", + " Detour % = (3287.0 / 16702.2) × 100 = 19.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 19.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 33.8973, + "lon": 48.7516, + "name": "Borūjerd" + }, + "end": { + "lat": -6.82972, + "lon": -35.24722, + "name": "Itapororoca" + }, + "waypoint": { + "lat": 18.85364, + "lon": -97.06229, + "name": "Ixtaczoquitlán" + }, + "question": "Is Ixtaczoquitlán approximately on the direct path from Borūjerd to Itapororoca?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9881.1, + "via_waypoint_km": 20470.0, + "detour_km": 10588.9, + "detour_percent": 107.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Borūjerd", + " End: Itapororoca", + " Waypoint: Ixtaczoquitlán", + "Step 2: Calculate direct distance", + " Start → End: 9881.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20470.0 km", + "Step 4: Calculate detour", + " Detour = 20470.0 - 9881.1 = 10588.9 km", + " Detour % = (10588.9 / 9881.1) × 100 = 107.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 107.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 26.59144, + "lon": 49.97951, + "name": "Al ‘Awwāmīyah" + }, + "end": { + "lat": 39.5, + "lon": -0.35, + "name": "Alboraya" + }, + "waypoint": { + "lat": -10.71667, + "lon": 38.8, + "name": "Masasi" + }, + "question": "Is Masasi approximately on the direct path from Al ‘Awwāmīyah to Alboraya?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4838.6, + "via_waypoint_km": 11213.3, + "detour_km": 6374.7, + "detour_percent": 131.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Al ‘Awwāmīyah", + " End: Alboraya", + " Waypoint: Masasi", + "Step 2: Calculate direct distance", + " Start → End: 4838.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11213.3 km", + "Step 4: Calculate detour", + " Detour = 11213.3 - 4838.6 = 6374.7 km", + " Detour % = (6374.7 / 4838.6) × 100 = 131.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 131.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 34.0339, + "lon": -118.20535, + "name": "Boyle Heights" + }, + "end": { + "lat": 53.5476, + "lon": 8.10395, + "name": "Wilhelmshaven" + }, + "waypoint": { + "lat": 50.04937, + "lon": 10.22175, + "name": "Schweinfurt" + }, + "question": "Is Schweinfurt approximately on the direct path from Boyle Heights to Wilhelmshaven?", + "ground_truth": { + "answer": true, + "direct_distance_km": 8992.7, + "via_waypoint_km": 9795.4, + "detour_km": 802.8, + "detour_percent": 8.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Boyle Heights", + " End: Wilhelmshaven", + " Waypoint: Schweinfurt", + "Step 2: Calculate direct distance", + " Start → End: 8992.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9795.4 km", + "Step 4: Calculate detour", + " Detour = 9795.4 - 8992.7 = 802.8 km", + " Detour % = (802.8 / 8992.7) × 100 = 8.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 8.9% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 34.50083, + "lon": -117.18588, + "name": "Apple Valley" + }, + "end": { + "lat": -5.08917, + "lon": -42.80194, + "name": "Teresina" + }, + "waypoint": { + "lat": 13.11448, + "lon": 80.02713, + "name": "Tinnanūr" + }, + "question": "Is Tinnanūr approximately on the direct path from Apple Valley to Teresina?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8914.5, + "via_waypoint_km": 28104.6, + "detour_km": 19190.1, + "detour_percent": 215.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Apple Valley", + " End: Teresina", + " Waypoint: Tinnanūr", + "Step 2: Calculate direct distance", + " Start → End: 8914.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 28104.6 km", + "Step 4: Calculate detour", + " Detour = 28104.6 - 8914.5 = 19190.1 km", + " Detour % = (19190.1 / 8914.5) × 100 = 215.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 215.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 0.71117, + "lon": 30.06469, + "name": "Bundibugyo" + }, + "end": { + "lat": 32.44874, + "lon": -99.73314, + "name": "Abilene" + }, + "waypoint": { + "lat": 51.41334, + "lon": -0.36701, + "name": "Hampton" + }, + "question": "Is Hampton approximately on the direct path from Bundibugyo to Abilene?", + "ground_truth": { + "answer": true, + "direct_distance_km": 13592.3, + "via_waypoint_km": 14156.5, + "detour_km": 564.2, + "detour_percent": 4.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bundibugyo", + " End: Abilene", + " Waypoint: Hampton", + "Step 2: Calculate direct distance", + " Start → End: 13592.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14156.5 km", + "Step 4: Calculate detour", + " Detour = 14156.5 - 13592.3 = 564.2 km", + " Detour % = (564.2 / 13592.3) × 100 = 4.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 4.2% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 6.9747, + "lon": 118.5144, + "name": "Mapun" + }, + "end": { + "lat": 2.70167, + "lon": 33.67611, + "name": "Abim" + }, + "waypoint": { + "lat": -24.22083, + "lon": -48.76556, + "name": "Ribeirão Branco" + }, + "question": "Is Ribeirão Branco approximately on the direct path from Mapun to Abim?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9401.9, + "via_waypoint_km": 27032.8, + "detour_km": 17631.0, + "detour_percent": 187.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mapun", + " End: Abim", + " Waypoint: Ribeirão Branco", + "Step 2: Calculate direct distance", + " Start → End: 9401.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27032.8 km", + "Step 4: Calculate detour", + " Detour = 27032.8 - 9401.9 = 17631.0 km", + " Detour % = (17631.0 / 9401.9) × 100 = 187.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 187.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 48.68212, + "lon": 9.01171, + "name": "Böblingen" + }, + "end": { + "lat": 40.86232, + "lon": -73.63374, + "name": "Glen Cove" + }, + "waypoint": { + "lat": -37.78247, + "lon": 145.31682, + "name": "Mooroolbark" + }, + "question": "Is Mooroolbark approximately on the direct path from Böblingen to Glen Cove?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6256.8, + "via_waypoint_km": 33006.0, + "detour_km": 26749.1, + "detour_percent": 427.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Böblingen", + " End: Glen Cove", + " Waypoint: Mooroolbark", + "Step 2: Calculate direct distance", + " Start → End: 6256.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 33006.0 km", + "Step 4: Calculate detour", + " Detour = 33006.0 - 6256.8 = 26749.1 km", + " Detour % = (26749.1 / 6256.8) × 100 = 427.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 427.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -8.85, + "lon": 34.83333, + "name": "Makumbako" + }, + "end": { + "lat": -0.70111, + "lon": 30.49389, + "name": "Kinoni" + }, + "waypoint": { + "lat": -9.01222, + "lon": -35.2225, + "name": "Maragogi" + }, + "question": "Is Maragogi approximately on the direct path from Makumbako to Kinoni?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1025.6, + "via_waypoint_km": 15011.5, + "detour_km": 13985.9, + "detour_percent": 1363.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Makumbako", + " End: Kinoni", + " Waypoint: Maragogi", + "Step 2: Calculate direct distance", + " Start → End: 1025.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15011.5 km", + "Step 4: Calculate detour", + " Detour = 15011.5 - 1025.6 = 13985.9 km", + " Detour % = (13985.9 / 1025.6) × 100 = 1363.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1363.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 5.62611, + "lon": 10.25421, + "name": "Mbouda" + }, + "end": { + "lat": 5.1009, + "lon": 6.81411, + "name": "Elele" + }, + "waypoint": { + "lat": 47.6895, + "lon": 9.83247, + "name": "Wangen" + }, + "question": "Is Wangen approximately on the direct path from Mbouda to Elele?", + "ground_truth": { + "answer": false, + "direct_distance_km": 385.3, + "via_waypoint_km": 9421.8, + "detour_km": 9036.5, + "detour_percent": 2345.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mbouda", + " End: Elele", + " Waypoint: Wangen", + "Step 2: Calculate direct distance", + " Start → End: 385.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9421.8 km", + "Step 4: Calculate detour", + " Detour = 9421.8 - 385.3 = 9036.5 km", + " Detour % = (9036.5 / 385.3) × 100 = 2345.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2345.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 37.43807, + "lon": -4.19523, + "name": "Priego de Córdoba" + }, + "end": { + "lat": 27.64148, + "lon": 30.85012, + "name": "Dayr Mawās" + }, + "waypoint": { + "lat": 15.8127, + "lon": 120.4557, + "name": "Bayambang" + }, + "question": "Is Bayambang approximately on the direct path from Priego de Córdoba to Dayr Mawās?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3438.1, + "via_waypoint_km": 20903.1, + "detour_km": 17465.1, + "detour_percent": 508.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Priego de Córdoba", + " End: Dayr Mawās", + " Waypoint: Bayambang", + "Step 2: Calculate direct distance", + " Start → End: 3438.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20903.1 km", + "Step 4: Calculate detour", + " Detour = 20903.1 - 3438.1 = 17465.1 km", + " Detour % = (17465.1 / 3438.1) × 100 = 508.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 508.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -28.71167, + "lon": -51.935, + "name": "Serafina Corrêa" + }, + "end": { + "lat": 46.83158, + "lon": 29.47671, + "name": "Bender" + }, + "waypoint": { + "lat": 21.96097, + "lon": 76.69494, + "name": "Chhanerā" + }, + "question": "Is Chhanerā approximately on the direct path from Serafina Corrêa to Bender?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11688.4, + "via_waypoint_km": 19870.9, + "detour_km": 8182.5, + "detour_percent": 70.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Serafina Corrêa", + " End: Bender", + " Waypoint: Chhanerā", + "Step 2: Calculate direct distance", + " Start → End: 11688.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19870.9 km", + "Step 4: Calculate detour", + " Detour = 19870.9 - 11688.4 = 8182.5 km", + " Detour % = (8182.5 / 11688.4) × 100 = 70.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 70.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 35.57272, + "lon": -0.8996, + "name": "Bou Tlelis" + }, + "end": { + "lat": 19.97671, + "lon": 76.78799, + "name": "Risod" + }, + "waypoint": { + "lat": -7.14, + "lon": -35.08639, + "name": "Cruz do Espírito Santo" + }, + "question": "Is Cruz do Espírito Santo approximately on the direct path from Bou Tlelis to Risod?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7649.3, + "via_waypoint_km": 18504.4, + "detour_km": 10855.0, + "detour_percent": 141.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bou Tlelis", + " End: Risod", + " Waypoint: Cruz do Espírito Santo", + "Step 2: Calculate direct distance", + " Start → End: 7649.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18504.4 km", + "Step 4: Calculate detour", + " Detour = 18504.4 - 7649.3 = 10855.0 km", + " Detour % = (10855.0 / 7649.3) × 100 = 141.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 141.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.41189, + "lon": -3.65682, + "name": "Media Legua" + }, + "end": { + "lat": 15.45099, + "lon": 36.39998, + "name": "Kassala" + }, + "waypoint": { + "lat": 29.79313, + "lon": 107.03715, + "name": "Jiangnan" + }, + "question": "Is Jiangnan approximately on the direct path from Media Legua to Kassala?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4752.6, + "via_waypoint_km": 16760.4, + "detour_km": 12007.9, + "detour_percent": 252.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Media Legua", + " End: Kassala", + " Waypoint: Jiangnan", + "Step 2: Calculate direct distance", + " Start → End: 4752.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16760.4 km", + "Step 4: Calculate detour", + " Detour = 16760.4 - 4752.6 = 12007.9 km", + " Detour % = (12007.9 / 4752.6) × 100 = 252.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 252.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 34.83389, + "lon": 105.76167, + "name": "Wangyin" + }, + "end": { + "lat": 33.9414, + "lon": -118.3023, + "name": "Westmont" + }, + "waypoint": { + "lat": 57.88587, + "lon": 34.05324, + "name": "Bologoye" + }, + "question": "Is Bologoye approximately on the direct path from Wangyin to Westmont?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11098.4, + "via_waypoint_km": 15223.9, + "detour_km": 4125.6, + "detour_percent": 37.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Wangyin", + " End: Westmont", + " Waypoint: Bologoye", + "Step 2: Calculate direct distance", + " Start → End: 11098.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15223.9 km", + "Step 4: Calculate detour", + " Detour = 15223.9 - 11098.4 = 4125.6 km", + " Detour % = (4125.6 / 11098.4) × 100 = 37.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 37.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 33.6803, + "lon": -116.17389, + "name": "Coachella" + }, + "end": { + "lat": 49.01667, + "lon": 2.25, + "name": "Saint-Leu-la-Forêt" + }, + "waypoint": { + "lat": -21.21139, + "lon": -47.59556, + "name": "Serrana" + }, + "question": "Is Serrana approximately on the direct path from Coachella to Saint-Leu-la-Forêt?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8991.1, + "via_waypoint_km": 18714.0, + "detour_km": 9722.9, + "detour_percent": 108.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Coachella", + " End: Saint-Leu-la-Forêt", + " Waypoint: Serrana", + "Step 2: Calculate direct distance", + " Start → End: 8991.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18714.0 km", + "Step 4: Calculate detour", + " Detour = 18714.0 - 8991.1 = 9722.9 km", + " Detour % = (9722.9 / 8991.1) × 100 = 108.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 108.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -7.72178, + "lon": 38.93749, + "name": "Kibiti" + }, + "end": { + "lat": 25.11667, + "lon": 114.3, + "name": "Xiongzhou" + }, + "waypoint": { + "lat": 19.08136, + "lon": 82.02131, + "name": "Jagdalpur" + }, + "question": "Is Jagdalpur approximately on the direct path from Kibiti to Xiongzhou?", + "ground_truth": { + "answer": true, + "direct_distance_km": 8921.1, + "via_waypoint_km": 8966.6, + "detour_km": 45.5, + "detour_percent": 0.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kibiti", + " End: Xiongzhou", + " Waypoint: Jagdalpur", + "Step 2: Calculate direct distance", + " Start → End: 8921.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 8966.6 km", + "Step 4: Calculate detour", + " Detour = 8966.6 - 8921.1 = 45.5 km", + " Detour % = (45.5 / 8921.1) × 100 = 0.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.5% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 38.97859, + "lon": -76.49184, + "name": "Annapolis" + }, + "end": { + "lat": -23.51, + "lon": -46.41566, + "name": "Vila Curuca" + }, + "waypoint": { + "lat": -3.54281, + "lon": -45.60852, + "name": "Bom Jardim" + }, + "question": "Is Bom Jardim approximately on the direct path from Annapolis to Vila Curuca?", + "ground_truth": { + "answer": true, + "direct_distance_km": 7620.6, + "via_waypoint_km": 7911.8, + "detour_km": 291.1, + "detour_percent": 3.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Annapolis", + " End: Vila Curuca", + " Waypoint: Bom Jardim", + "Step 2: Calculate direct distance", + " Start → End: 7620.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 7911.8 km", + "Step 4: Calculate detour", + " Detour = 7911.8 - 7620.6 = 291.1 km", + " Detour % = (291.1 / 7620.6) × 100 = 3.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 3.8% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.65, + "lon": 138.31667, + "name": "Suzaka" + }, + "end": { + "lat": 51.34417, + "lon": 6.13611, + "name": "Tegelen" + }, + "waypoint": { + "lat": 40.14477, + "lon": -84.24244, + "name": "Piqua" + }, + "question": "Is Piqua approximately on the direct path from Suzaka to Tegelen?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9179.3, + "via_waypoint_km": 17103.4, + "detour_km": 7924.1, + "detour_percent": 86.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Suzaka", + " End: Tegelen", + " Waypoint: Piqua", + "Step 2: Calculate direct distance", + " Start → End: 9179.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17103.4 km", + "Step 4: Calculate detour", + " Detour = 17103.4 - 9179.3 = 7924.1 km", + " Detour % = (7924.1 / 9179.3) × 100 = 86.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 86.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 38.13387, + "lon": 85.52992, + "name": "Qiemo" + }, + "end": { + "lat": 33.96057, + "lon": -118.18535, + "name": "Cudahy" + }, + "waypoint": { + "lat": 38.08733, + "lon": 23.97642, + "name": "Néa Mákri" + }, + "question": "Is Néa Mákri approximately on the direct path from Qiemo to Cudahy?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11632.9, + "via_waypoint_km": 16382.0, + "detour_km": 4749.1, + "detour_percent": 40.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Qiemo", + " End: Cudahy", + " Waypoint: Néa Mákri", + "Step 2: Calculate direct distance", + " Start → End: 11632.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16382.0 km", + "Step 4: Calculate detour", + " Detour = 16382.0 - 11632.9 = 4749.1 km", + " Detour % = (4749.1 / 11632.9) × 100 = 40.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 40.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.42548, + "lon": -111.79447, + "name": "Highland" + }, + "end": { + "lat": 0.4, + "lon": 32.63333, + "name": "Kira" + }, + "waypoint": { + "lat": -17.79806, + "lon": -50.92806, + "name": "Rio Verde" + }, + "question": "Is Rio Verde approximately on the direct path from Highland to Kira?", + "ground_truth": { + "answer": false, + "direct_distance_km": 14224.7, + "via_waypoint_km": 18357.9, + "detour_km": 4133.1, + "detour_percent": 29.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Highland", + " End: Kira", + " Waypoint: Rio Verde", + "Step 2: Calculate direct distance", + " Start → End: 14224.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18357.9 km", + "Step 4: Calculate detour", + " Detour = 18357.9 - 14224.7 = 4133.1 km", + " Detour % = (4133.1 / 14224.7) × 100 = 29.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 29.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 42.28721, + "lon": 18.83922, + "name": "Budva" + }, + "end": { + "lat": 35.78469, + "lon": 139.77882, + "name": "Nishiarai" + }, + "waypoint": { + "lat": -19.65, + "lon": 47.31667, + "name": "Antanifotsy" + }, + "question": "Is Antanifotsy approximately on the direct path from Budva to Nishiarai?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9466.0, + "via_waypoint_km": 18964.3, + "detour_km": 9498.3, + "detour_percent": 100.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Budva", + " End: Nishiarai", + " Waypoint: Antanifotsy", + "Step 2: Calculate direct distance", + " Start → End: 9466.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18964.3 km", + "Step 4: Calculate detour", + " Detour = 18964.3 - 9466.0 = 9498.3 km", + " Detour % = (9498.3 / 9466.0) × 100 = 100.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 100.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 31.02795, + "lon": 30.71493, + "name": "Shubrākhīt" + }, + "end": { + "lat": 24.09082, + "lon": 32.89942, + "name": "Aswān" + }, + "waypoint": { + "lat": 53.60554, + "lon": 8.59509, + "name": "Langen" + }, + "question": "Is Langen approximately on the direct path from Shubrākhīt to Aswān?", + "ground_truth": { + "answer": false, + "direct_distance_km": 800.8, + "via_waypoint_km": 6930.2, + "detour_km": 6129.4, + "detour_percent": 765.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Shubrākhīt", + " End: Aswān", + " Waypoint: Langen", + "Step 2: Calculate direct distance", + " Start → End: 800.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 6930.2 km", + "Step 4: Calculate detour", + " Detour = 6930.2 - 800.8 = 6129.4 km", + " Detour % = (6129.4 / 800.8) × 100 = 765.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 765.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 3.93135, + "lon": -76.48481, + "name": "Darien" + }, + "end": { + "lat": 9.4751, + "lon": -70.73493, + "name": "El Dividive" + }, + "waypoint": { + "lat": 43.72035, + "lon": -79.43741, + "name": "Englemount-Lawrence" + }, + "question": "Is Englemount-Lawrence approximately on the direct path from Darien to El Dividive?", + "ground_truth": { + "answer": false, + "direct_distance_km": 884.8, + "via_waypoint_km": 8333.7, + "detour_km": 7448.9, + "detour_percent": 841.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Darien", + " End: El Dividive", + " Waypoint: Englemount-Lawrence", + "Step 2: Calculate direct distance", + " Start → End: 884.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 8333.7 km", + "Step 4: Calculate detour", + " Detour = 8333.7 - 884.8 = 7448.9 km", + " Detour % = (7448.9 / 884.8) × 100 = 841.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 841.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 43.67323, + "lon": 7.19, + "name": "Saint-Laurent-du-Var" + }, + "end": { + "lat": 49.94782, + "lon": 11.57893, + "name": "Bayreuth" + }, + "waypoint": { + "lat": 47.09993, + "lon": 6.82586, + "name": "La Chaux-de-Fonds" + }, + "question": "Is La Chaux-de-Fonds approximately on the direct path from Saint-Laurent-du-Var to Bayreuth?", + "ground_truth": { + "answer": false, + "direct_distance_km": 773.2, + "via_waypoint_km": 853.9, + "detour_km": 80.7, + "detour_percent": 10.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Saint-Laurent-du-Var", + " End: Bayreuth", + " Waypoint: La Chaux-de-Fonds", + "Step 2: Calculate direct distance", + " Start → End: 773.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 853.9 km", + "Step 4: Calculate detour", + " Detour = 853.9 - 773.2 = 80.7 km", + " Detour % = (80.7 / 773.2) × 100 = 10.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 10.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -18.54778, + "lon": -42.76333, + "name": "São João Evangelista" + }, + "end": { + "lat": 3.54625, + "lon": -73.70687, + "name": "Granada" + }, + "waypoint": { + "lat": 9.53342, + "lon": 31.66049, + "name": "Malakal" + }, + "question": "Is Malakal approximately on the direct path from São João Evangelista to Granada?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4185.1, + "via_waypoint_km": 20356.6, + "detour_km": 16171.5, + "detour_percent": 386.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: São João Evangelista", + " End: Granada", + " Waypoint: Malakal", + "Step 2: Calculate direct distance", + " Start → End: 4185.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20356.6 km", + "Step 4: Calculate detour", + " Detour = 20356.6 - 4185.1 = 16171.5 km", + " Detour % = (16171.5 / 4185.1) × 100 = 386.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 386.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 37.36497, + "lon": 120.40997, + "name": "Zhaoyuan" + }, + "end": { + "lat": 15.3062, + "lon": 120.856, + "name": "San Antonio" + }, + "waypoint": { + "lat": 51.39462, + "lon": 8.57146, + "name": "Brilon" + }, + "question": "Is Brilon approximately on the direct path from Zhaoyuan to San Antonio?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2453.2, + "via_waypoint_km": 18281.7, + "detour_km": 15828.5, + "detour_percent": 645.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Zhaoyuan", + " End: San Antonio", + " Waypoint: Brilon", + "Step 2: Calculate direct distance", + " Start → End: 2453.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18281.7 km", + "Step 4: Calculate detour", + " Detour = 18281.7 - 2453.2 = 15828.5 km", + " Detour % = (15828.5 / 2453.2) × 100 = 645.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 645.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -37.75, + "lon": 145.35, + "name": "Lilydale" + }, + "end": { + "lat": 51.23812, + "lon": 6.78678, + "name": "Düsseldorf-Pempelfort" + }, + "waypoint": { + "lat": -18.72472, + "lon": -47.49861, + "name": "Monte Carmelo" + }, + "question": "Is Monte Carmelo approximately on the direct path from Lilydale to Düsseldorf-Pempelfort?", + "ground_truth": { + "answer": false, + "direct_distance_km": 16462.3, + "via_waypoint_km": 22989.3, + "detour_km": 6527.0, + "detour_percent": 39.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Lilydale", + " End: Düsseldorf-Pempelfort", + " Waypoint: Monte Carmelo", + "Step 2: Calculate direct distance", + " Start → End: 16462.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22989.3 km", + "Step 4: Calculate detour", + " Detour = 22989.3 - 16462.3 = 6527.0 km", + " Detour % = (6527.0 / 16462.3) × 100 = 39.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 39.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 23.36085, + "lon": 103.15372, + "name": "Gejiu" + }, + "end": { + "lat": -4.87694, + "lon": 29.62667, + "name": "Kigoma" + }, + "waypoint": { + "lat": 10.15951, + "lon": -68.89453, + "name": "Chivacoa" + }, + "question": "Is Chivacoa approximately on the direct path from Gejiu to Kigoma?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8557.3, + "via_waypoint_km": 27222.1, + "detour_km": 18664.7, + "detour_percent": 218.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Gejiu", + " End: Kigoma", + " Waypoint: Chivacoa", + "Step 2: Calculate direct distance", + " Start → End: 8557.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27222.1 km", + "Step 4: Calculate detour", + " Detour = 27222.1 - 8557.3 = 18664.7 km", + " Detour % = (18664.7 / 8557.3) × 100 = 218.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 218.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 41.8526, + "lon": -72.6437, + "name": "Windsor" + }, + "end": { + "lat": 41.95392, + "lon": -87.67895, + "name": "North Center" + }, + "waypoint": { + "lat": 35.068, + "lon": 127.75147, + "name": "Hadong" + }, + "question": "Is Hadong approximately on the direct path from Windsor to North Center?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1242.8, + "via_waypoint_km": 21934.7, + "detour_km": 20692.0, + "detour_percent": 1665.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Windsor", + " End: North Center", + " Waypoint: Hadong", + "Step 2: Calculate direct distance", + " Start → End: 1242.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21934.7 km", + "Step 4: Calculate detour", + " Detour = 21934.7 - 1242.8 = 20692.0 km", + " Detour % = (20692.0 / 1242.8) × 100 = 1665.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1665.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -22.21667, + "lon": 30.0, + "name": "Beitbridge" + }, + "end": { + "lat": 21.09417, + "lon": 96.02803, + "name": "Wundwin" + }, + "waypoint": { + "lat": 41.19833, + "lon": 69.22222, + "name": "Sergeli" + }, + "question": "Is Sergeli approximately on the direct path from Beitbridge to Wundwin?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8628.0, + "via_waypoint_km": 11495.4, + "detour_km": 2867.3, + "detour_percent": 33.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Beitbridge", + " End: Wundwin", + " Waypoint: Sergeli", + "Step 2: Calculate direct distance", + " Start → End: 8628.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11495.4 km", + "Step 4: Calculate detour", + " Detour = 11495.4 - 8628.0 = 2867.3 km", + " Detour % = (2867.3 / 8628.0) × 100 = 33.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 33.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -14.83098, + "lon": -74.93895, + "name": "Nazca" + }, + "end": { + "lat": 7.06273, + "lon": -1.4001, + "name": "Mampong" + }, + "waypoint": { + "lat": 5.71044, + "lon": 6.80936, + "name": "Oguta" + }, + "question": "Is Oguta approximately on the direct path from Nazca to Mampong?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8461.0, + "via_waypoint_km": 10208.3, + "detour_km": 1747.3, + "detour_percent": 20.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Nazca", + " End: Mampong", + " Waypoint: Oguta", + "Step 2: Calculate direct distance", + " Start → End: 8461.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10208.3 km", + "Step 4: Calculate detour", + " Detour = 10208.3 - 8461.0 = 1747.3 km", + " Detour % = (1747.3 / 8461.0) × 100 = 20.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 20.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 11.24681, + "lon": 124.01462, + "name": "Daanbantayan" + }, + "end": { + "lat": 36.75452, + "lon": 10.22167, + "name": "Ben Arous" + }, + "waypoint": { + "lat": 34.22843, + "lon": -92.0032, + "name": "Pine Bluff" + }, + "question": "Is Pine Bluff approximately on the direct path from Daanbantayan to Ben Arous?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11292.5, + "via_waypoint_km": 22437.4, + "detour_km": 11145.0, + "detour_percent": 98.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Daanbantayan", + " End: Ben Arous", + " Waypoint: Pine Bluff", + "Step 2: Calculate direct distance", + " Start → End: 11292.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22437.4 km", + "Step 4: Calculate detour", + " Detour = 22437.4 - 11292.5 = 11145.0 km", + " Detour % = (11145.0 / 11292.5) × 100 = 98.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 98.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 18.84577, + "lon": 79.46165, + "name": "Nāspur" + }, + "end": { + "lat": 7.09316, + "lon": 4.83528, + "name": "Ondo" + }, + "waypoint": { + "lat": -9.47723, + "lon": 147.15089, + "name": "Port Moresby" + }, + "question": "Is Port Moresby approximately on the direct path from Nāspur to Ondo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8140.6, + "via_waypoint_km": 23920.4, + "detour_km": 15779.8, + "detour_percent": 193.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Nāspur", + " End: Ondo", + " Waypoint: Port Moresby", + "Step 2: Calculate direct distance", + " Start → End: 8140.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23920.4 km", + "Step 4: Calculate detour", + " Detour = 23920.4 - 8140.6 = 15779.8 km", + " Detour % = (15779.8 / 8140.6) × 100 = 193.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 193.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -12.35426, + "lon": 14.77232, + "name": "Balombo" + }, + "end": { + "lat": 18.41025, + "lon": 83.90295, + "name": "Amudālavalasa" + }, + "waypoint": { + "lat": 35.5, + "lon": 133.68333, + "name": "Yabase" + }, + "question": "Is Yabase approximately on the direct path from Balombo to Amudālavalasa?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8314.6, + "via_waypoint_km": 18632.3, + "detour_km": 10317.6, + "detour_percent": 124.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Balombo", + " End: Amudālavalasa", + " Waypoint: Yabase", + "Step 2: Calculate direct distance", + " Start → End: 8314.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18632.3 km", + "Step 4: Calculate detour", + " Detour = 18632.3 - 8314.6 = 10317.6 km", + " Detour % = (10317.6 / 8314.6) × 100 = 124.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 124.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 46.3168, + "lon": -79.46633, + "name": "North Bay" + }, + "end": { + "lat": -27.64613, + "lon": 152.85965, + "name": "Redbank Plains" + }, + "waypoint": { + "lat": 53.14515, + "lon": -2.36251, + "name": "Sandbach" + }, + "question": "Is Sandbach approximately on the direct path from North Bay to Redbank Plains?", + "ground_truth": { + "answer": false, + "direct_distance_km": 15032.7, + "via_waypoint_km": 21845.5, + "detour_km": 6812.8, + "detour_percent": 45.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: North Bay", + " End: Redbank Plains", + " Waypoint: Sandbach", + "Step 2: Calculate direct distance", + " Start → End: 15032.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21845.5 km", + "Step 4: Calculate detour", + " Detour = 21845.5 - 15032.7 = 6812.8 km", + " Detour % = (6812.8 / 15032.7) × 100 = 45.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 45.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.643, + "lon": -4.68728, + "name": "Alhaurín el Grande" + }, + "end": { + "lat": -21.01778, + "lon": -47.76389, + "name": "Jardinópolis" + }, + "waypoint": { + "lat": -28.17827, + "lon": 30.14702, + "name": "Glencoe" + }, + "question": "Is Glencoe approximately on the direct path from Alhaurín el Grande to Jardinópolis?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7844.5, + "via_waypoint_km": 15860.9, + "detour_km": 8016.4, + "detour_percent": 102.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Alhaurín el Grande", + " End: Jardinópolis", + " Waypoint: Glencoe", + "Step 2: Calculate direct distance", + " Start → End: 7844.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15860.9 km", + "Step 4: Calculate detour", + " Detour = 15860.9 - 7844.5 = 8016.4 km", + " Detour % = (8016.4 / 7844.5) × 100 = 102.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 102.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -22.41278, + "lon": -49.13472, + "name": "Piratininga" + }, + "end": { + "lat": -33.91075, + "lon": 19.1198, + "name": "Franschhoek" + }, + "waypoint": { + "lat": -29.19448, + "lon": 27.45739, + "name": "Ladybrand" + }, + "question": "Is Ladybrand approximately on the direct path from Piratininga to Franschhoek?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6694.1, + "via_waypoint_km": 8519.2, + "detour_km": 1825.2, + "detour_percent": 27.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Piratininga", + " End: Franschhoek", + " Waypoint: Ladybrand", + "Step 2: Calculate direct distance", + " Start → End: 6694.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 8519.2 km", + "Step 4: Calculate detour", + " Detour = 8519.2 - 6694.1 = 1825.2 km", + " Detour % = (1825.2 / 6694.1) × 100 = 27.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 27.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 23.97345, + "lon": 71.81922, + "name": "Thara" + }, + "end": { + "lat": 3.41558, + "lon": 101.55709, + "name": "Bukit Beruntung" + }, + "waypoint": { + "lat": 2.61112, + "lon": 32.47559, + "name": "Opit" + }, + "question": "Is Opit approximately on the direct path from Thara to Bukit Beruntung?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3924.5, + "via_waypoint_km": 12515.7, + "detour_km": 8591.1, + "detour_percent": 218.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Thara", + " End: Bukit Beruntung", + " Waypoint: Opit", + "Step 2: Calculate direct distance", + " Start → End: 3924.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12515.7 km", + "Step 4: Calculate detour", + " Detour = 12515.7 - 3924.5 = 8591.1 km", + " Detour % = (8591.1 / 3924.5) × 100 = 218.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 218.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 12.15449, + "lon": 77.11051, + "name": "Kollegāl" + }, + "end": { + "lat": -16.02028, + "lon": -49.81028, + "name": "Itaberaí" + }, + "waypoint": { + "lat": 43.60426, + "lon": 1.44367, + "name": "Toulouse" + }, + "question": "Is Toulouse approximately on the direct path from Kollegāl to Itaberaí?", + "ground_truth": { + "answer": false, + "direct_distance_km": 14288.8, + "via_waypoint_km": 16358.1, + "detour_km": 2069.3, + "detour_percent": 14.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kollegāl", + " End: Itaberaí", + " Waypoint: Toulouse", + "Step 2: Calculate direct distance", + " Start → End: 14288.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16358.1 km", + "Step 4: Calculate detour", + " Detour = 16358.1 - 14288.8 = 2069.3 km", + " Detour % = (2069.3 / 14288.8) × 100 = 14.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 14.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -33.7457, + "lon": 151.04764, + "name": "West Pennant Hills" + }, + "end": { + "lat": 38.15479, + "lon": 114.80689, + "name": "Beisu" + }, + "waypoint": { + "lat": 39.69414, + "lon": 140.98442, + "name": "Shizukuishi" + }, + "question": "Is Shizukuishi approximately on the direct path from West Pennant Hills to Beisu?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8827.4, + "via_waypoint_km": 10494.4, + "detour_km": 1667.0, + "detour_percent": 18.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: West Pennant Hills", + " End: Beisu", + " Waypoint: Shizukuishi", + "Step 2: Calculate direct distance", + " Start → End: 8827.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10494.4 km", + "Step 4: Calculate detour", + " Detour = 10494.4 - 8827.4 = 1667.0 km", + " Detour % = (1667.0 / 8827.4) × 100 = 18.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 18.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 42.13066, + "lon": -70.91616, + "name": "Rockland" + }, + "end": { + "lat": 25.81954, + "lon": -80.35533, + "name": "Doral" + }, + "waypoint": { + "lat": -38.0965, + "lon": 145.26707, + "name": "Cranbourne West" + }, + "question": "Is Cranbourne West approximately on the direct path from Rockland to Doral?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2008.6, + "via_waypoint_km": 32477.8, + "detour_km": 30469.2, + "detour_percent": 1516.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Rockland", + " End: Doral", + " Waypoint: Cranbourne West", + "Step 2: Calculate direct distance", + " Start → End: 2008.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 32477.8 km", + "Step 4: Calculate detour", + " Detour = 32477.8 - 2008.6 = 30469.2 km", + " Detour % = (30469.2 / 2008.6) × 100 = 1516.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1516.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 50.07064, + "lon": 14.30051, + "name": "Řepy" + }, + "end": { + "lat": 32.85013, + "lon": -96.80028, + "name": "University Park" + }, + "waypoint": { + "lat": 33.83186, + "lon": -4.828, + "name": "Sefrou" + }, + "question": "Is Sefrou approximately on the direct path from Řepy to University Park?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8582.3, + "via_waypoint_km": 10599.2, + "detour_km": 2016.9, + "detour_percent": 23.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Řepy", + " End: University Park", + " Waypoint: Sefrou", + "Step 2: Calculate direct distance", + " Start → End: 8582.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10599.2 km", + "Step 4: Calculate detour", + " Detour = 10599.2 - 8582.3 = 2016.9 km", + " Detour % = (2016.9 / 8582.3) × 100 = 23.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 23.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -8.75333, + "lon": -37.33972, + "name": "Tupanatinga" + }, + "end": { + "lat": 54.77826, + "lon": 32.05088, + "name": "Smolensk" + }, + "waypoint": { + "lat": 26.65422, + "lon": 86.20795, + "name": "Siraha" + }, + "question": "Is Siraha approximately on the direct path from Tupanatinga to Smolensk?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9520.8, + "via_waypoint_km": 19111.3, + "detour_km": 9590.5, + "detour_percent": 100.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tupanatinga", + " End: Smolensk", + " Waypoint: Siraha", + "Step 2: Calculate direct distance", + " Start → End: 9520.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19111.3 km", + "Step 4: Calculate detour", + " Detour = 19111.3 - 9520.8 = 9590.5 km", + " Detour % = (9590.5 / 9520.8) × 100 = 100.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 100.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 39.47581, + "lon": -8.54348, + "name": "Torres Novas" + }, + "end": { + "lat": -33.45694, + "lon": -70.64827, + "name": "Santiago" + }, + "waypoint": { + "lat": 17.50914, + "lon": -91.98125, + "name": "Palenque" + }, + "question": "Is Palenque approximately on the direct path from Torres Novas to Santiago?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10321.1, + "via_waypoint_km": 14332.6, + "detour_km": 4011.5, + "detour_percent": 38.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Torres Novas", + " End: Santiago", + " Waypoint: Palenque", + "Step 2: Calculate direct distance", + " Start → End: 10321.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14332.6 km", + "Step 4: Calculate detour", + " Detour = 14332.6 - 10321.1 = 4011.5 km", + " Detour % = (4011.5 / 10321.1) × 100 = 38.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 38.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 32.74506, + "lon": 13.71467, + "name": "Qaşr al Qarabūllī" + }, + "end": { + "lat": -2.96667, + "lon": 33.33333, + "name": "Ngudu" + }, + "waypoint": { + "lat": -8.83682, + "lon": 13.23432, + "name": "Luanda" + }, + "question": "Is Luanda approximately on the direct path from Qaşr al Qarabūllī to Ngudu?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4475.9, + "via_waypoint_km": 6939.8, + "detour_km": 2463.9, + "detour_percent": 55.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Qaşr al Qarabūllī", + " End: Ngudu", + " Waypoint: Luanda", + "Step 2: Calculate direct distance", + " Start → End: 4475.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 6939.8 km", + "Step 4: Calculate detour", + " Detour = 6939.8 - 4475.9 = 2463.9 km", + " Detour % = (2463.9 / 4475.9) × 100 = 55.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 55.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 32.4555, + "lon": -114.77037, + "name": "San Luis Río Colorado" + }, + "end": { + "lat": 40.85843, + "lon": -74.16376, + "name": "Clifton" + }, + "waypoint": { + "lat": -36.8582, + "lon": 174.62019, + "name": "Lincoln" + }, + "question": "Is Lincoln approximately on the direct path from San Luis Río Colorado to Clifton?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3705.4, + "via_waypoint_km": 24829.9, + "detour_km": 21124.5, + "detour_percent": 570.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: San Luis Río Colorado", + " End: Clifton", + " Waypoint: Lincoln", + "Step 2: Calculate direct distance", + " Start → End: 3705.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24829.9 km", + "Step 4: Calculate detour", + " Detour = 24829.9 - 3705.4 = 21124.5 km", + " Detour % = (21124.5 / 3705.4) × 100 = 570.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 570.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 50.70146, + "lon": -1.29124, + "name": "Newport" + }, + "end": { + "lat": 6.12874, + "lon": 1.22154, + "name": "Lomé" + }, + "waypoint": { + "lat": 26.56807, + "lon": 84.0833, + "name": "Kataiya" + }, + "question": "Is Kataiya approximately on the direct path from Newport to Lomé?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4961.8, + "via_waypoint_km": 16437.7, + "detour_km": 11476.0, + "detour_percent": 231.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Newport", + " End: Lomé", + " Waypoint: Kataiya", + "Step 2: Calculate direct distance", + " Start → End: 4961.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16437.7 km", + "Step 4: Calculate detour", + " Detour = 16437.7 - 4961.8 = 11476.0 km", + " Detour % = (11476.0 / 4961.8) × 100 = 231.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 231.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 1.14937, + "lon": 104.02491, + "name": "Batam" + }, + "end": { + "lat": -4.01667, + "lon": 35.76667, + "name": "Magugu" + }, + "waypoint": { + "lat": -29.66917, + "lon": -52.78889, + "name": "Candelária" + }, + "question": "Is Candelária approximately on the direct path from Batam to Magugu?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7606.3, + "via_waypoint_km": 25653.6, + "detour_km": 18047.2, + "detour_percent": 237.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Batam", + " End: Magugu", + " Waypoint: Candelária", + "Step 2: Calculate direct distance", + " Start → End: 7606.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25653.6 km", + "Step 4: Calculate detour", + " Detour = 25653.6 - 7606.3 = 18047.2 km", + " Detour % = (18047.2 / 7606.3) × 100 = 237.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 237.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -11.46556, + "lon": 34.02071, + "name": "Mzuzu" + }, + "end": { + "lat": -33.94185, + "lon": 150.8717, + "name": "Prestons" + }, + "waypoint": { + "lat": 22.77668, + "lon": 86.18351, + "name": "Jugsālai" + }, + "question": "Is Jugsālai approximately on the direct path from Mzuzu to Prestons?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11658.5, + "via_waypoint_km": 16136.9, + "detour_km": 4478.4, + "detour_percent": 38.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mzuzu", + " End: Prestons", + " Waypoint: Jugsālai", + "Step 2: Calculate direct distance", + " Start → End: 11658.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16136.9 km", + "Step 4: Calculate detour", + " Detour = 16136.9 - 11658.5 = 4478.4 km", + " Detour % = (4478.4 / 11658.5) × 100 = 38.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 38.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -10.6, + "lon": -38.21667, + "name": "Fátima" + }, + "end": { + "lat": -38.17058, + "lon": 144.3114, + "name": "Highton" + }, + "waypoint": { + "lat": 42.45948, + "lon": -83.18271, + "name": "Oak Park" + }, + "question": "Is Oak Park approximately on the direct path from Fátima to Highton?", + "ground_truth": { + "answer": false, + "direct_distance_km": 14585.7, + "via_waypoint_km": 23475.6, + "detour_km": 8889.9, + "detour_percent": 60.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Fátima", + " End: Highton", + " Waypoint: Oak Park", + "Step 2: Calculate direct distance", + " Start → End: 14585.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23475.6 km", + "Step 4: Calculate detour", + " Detour = 23475.6 - 14585.7 = 8889.9 km", + " Detour % = (8889.9 / 14585.7) × 100 = 60.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 60.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -31.44957, + "lon": -60.93153, + "name": "Esperanza" + }, + "end": { + "lat": -6.55573, + "lon": -47.44149, + "name": "Estreito" + }, + "waypoint": { + "lat": 48.2, + "lon": 16.26667, + "name": "Penzing" + }, + "question": "Is Penzing approximately on the direct path from Esperanza to Estreito?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3103.1, + "via_waypoint_km": 20374.1, + "detour_km": 17271.0, + "detour_percent": 556.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Esperanza", + " End: Estreito", + " Waypoint: Penzing", + "Step 2: Calculate direct distance", + " Start → End: 3103.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20374.1 km", + "Step 4: Calculate detour", + " Detour = 20374.1 - 3103.1 = 17271.0 km", + " Detour % = (17271.0 / 3103.1) × 100 = 556.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 556.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 10.9, + "lon": -13.03333, + "name": "Télimélé" + }, + "end": { + "lat": -21.04222, + "lon": -41.97333, + "name": "Natividade" + }, + "waypoint": { + "lat": 38.23242, + "lon": -122.63665, + "name": "Petaluma" + }, + "question": "Is Petaluma approximately on the direct path from Télimélé to Natividade?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4755.3, + "via_waypoint_km": 21580.4, + "detour_km": 16825.1, + "detour_percent": 353.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Télimélé", + " End: Natividade", + " Waypoint: Petaluma", + "Step 2: Calculate direct distance", + " Start → End: 4755.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21580.4 km", + "Step 4: Calculate detour", + " Detour = 21580.4 - 4755.3 = 16825.1 km", + " Detour % = (16825.1 / 4755.3) × 100 = 353.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 353.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 39.94104, + "lon": 119.58936, + "name": "Qinhuangdao" + }, + "end": { + "lat": 8.39307, + "lon": 8.35544, + "name": "Doma" + }, + "waypoint": { + "lat": 55.88333, + "lon": 37.6, + "name": "Bibirevo" + }, + "question": "Is Bibirevo approximately on the direct path from Qinhuangdao to Doma?", + "ground_truth": { + "answer": true, + "direct_distance_km": 11167.1, + "via_waypoint_km": 11843.7, + "detour_km": 676.6, + "detour_percent": 6.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Qinhuangdao", + " End: Doma", + " Waypoint: Bibirevo", + "Step 2: Calculate direct distance", + " Start → End: 11167.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11843.7 km", + "Step 4: Calculate detour", + " Detour = 11843.7 - 11167.1 = 676.6 km", + " Detour % = (676.6 / 11167.1) × 100 = 6.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 6.1% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -12.6125, + "lon": -38.29694, + "name": "Dias d'Ávila" + }, + "end": { + "lat": 32.13664, + "lon": 75.47291, + "name": "Dīnānagar" + }, + "waypoint": { + "lat": 13.47806, + "lon": -16.68194, + "name": "Bakau" + }, + "question": "Is Bakau approximately on the direct path from Dias d'Ávila to Dīnānagar?", + "ground_truth": { + "answer": true, + "direct_distance_km": 12975.8, + "via_waypoint_km": 13168.1, + "detour_km": 192.3, + "detour_percent": 1.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Dias d'Ávila", + " End: Dīnānagar", + " Waypoint: Bakau", + "Step 2: Calculate direct distance", + " Start → End: 12975.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13168.1 km", + "Step 4: Calculate detour", + " Detour = 13168.1 - 12975.8 = 192.3 km", + " Detour % = (192.3 / 12975.8) × 100 = 1.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1.5% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 29.703, + "lon": -98.12445, + "name": "New Braunfels" + }, + "end": { + "lat": 13.52578, + "lon": 7.91398, + "name": "Gazaoua" + }, + "waypoint": { + "lat": 10.56207, + "lon": 76.91305, + "name": "Vettaikkaranpudur" + }, + "question": "Is Vettaikkaranpudur approximately on the direct path from New Braunfels to Gazaoua?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10757.4, + "via_waypoint_km": 22993.2, + "detour_km": 12235.7, + "detour_percent": 113.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: New Braunfels", + " End: Gazaoua", + " Waypoint: Vettaikkaranpudur", + "Step 2: Calculate direct distance", + " Start → End: 10757.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22993.2 km", + "Step 4: Calculate detour", + " Detour = 22993.2 - 10757.4 = 12235.7 km", + " Detour % = (12235.7 / 10757.4) × 100 = 113.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 113.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 8.10732, + "lon": -67.60738, + "name": "Camaguán" + }, + "end": { + "lat": -33.30422, + "lon": 26.53276, + "name": "Grahamstown" + }, + "waypoint": { + "lat": 32.31737, + "lon": 121.18552, + "name": "Juegang" + }, + "question": "Is Juegang approximately on the direct path from Camaguán to Grahamstown?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10884.2, + "via_waypoint_km": 27715.6, + "detour_km": 16831.4, + "detour_percent": 154.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Camaguán", + " End: Grahamstown", + " Waypoint: Juegang", + "Step 2: Calculate direct distance", + " Start → End: 10884.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27715.6 km", + "Step 4: Calculate detour", + " Detour = 27715.6 - 10884.2 = 16831.4 km", + " Detour % = (16831.4 / 10884.2) × 100 = 154.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 154.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -29.97528, + "lon": -50.12806, + "name": "Imbé" + }, + "end": { + "lat": 51.505, + "lon": -0.2211, + "name": "Shepherds Bush" + }, + "waypoint": { + "lat": -33.88374, + "lon": 151.21282, + "name": "Surry Hills" + }, + "question": "Is Surry Hills approximately on the direct path from Imbé to Shepherds Bush?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10286.6, + "via_waypoint_km": 29569.9, + "detour_km": 19283.3, + "detour_percent": 187.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Imbé", + " End: Shepherds Bush", + " Waypoint: Surry Hills", + "Step 2: Calculate direct distance", + " Start → End: 10286.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 29569.9 km", + "Step 4: Calculate detour", + " Detour = 29569.9 - 10286.6 = 19283.3 km", + " Detour % = (19283.3 / 10286.6) × 100 = 187.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 187.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -16.525, + "lon": -50.37222, + "name": "São Luís de Montes Belos" + }, + "end": { + "lat": -37.83961, + "lon": 144.94228, + "name": "Port Melbourne" + }, + "waypoint": { + "lat": 53.27096, + "lon": 34.32143, + "name": "Bryansk" + }, + "question": "Is Bryansk approximately on the direct path from São Luís de Montes Belos to Port Melbourne?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13761.7, + "via_waypoint_km": 25710.8, + "detour_km": 11949.1, + "detour_percent": 86.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: São Luís de Montes Belos", + " End: Port Melbourne", + " Waypoint: Bryansk", + "Step 2: Calculate direct distance", + " Start → End: 13761.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25710.8 km", + "Step 4: Calculate detour", + " Detour = 25710.8 - 13761.7 = 11949.1 km", + " Detour % = (11949.1 / 13761.7) × 100 = 86.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 86.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -42.87936, + "lon": 147.32941, + "name": "Hobart" + }, + "end": { + "lat": 44.97997, + "lon": -93.26384, + "name": "Minneapolis" + }, + "waypoint": { + "lat": 6.30054, + "lon": -10.7969, + "name": "Monrovia" + }, + "question": "Is Monrovia approximately on the direct path from Hobart to Minneapolis?", + "ground_truth": { + "answer": false, + "direct_distance_km": 15272.5, + "via_waypoint_km": 24337.2, + "detour_km": 9064.6, + "detour_percent": 59.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Hobart", + " End: Minneapolis", + " Waypoint: Monrovia", + "Step 2: Calculate direct distance", + " Start → End: 15272.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24337.2 km", + "Step 4: Calculate detour", + " Detour = 24337.2 - 15272.5 = 9064.6 km", + " Detour % = (9064.6 / 15272.5) × 100 = 59.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 59.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 48.40821, + "lon": 33.70919, + "name": "Pyatykhatky" + }, + "end": { + "lat": 19.30023, + "lon": 73.05881, + "name": "Bhiwandi" + }, + "waypoint": { + "lat": -31.49285, + "lon": 25.00633, + "name": "Middelburg" + }, + "question": "Is Middelburg approximately on the direct path from Pyatykhatky to Bhiwandi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4778.4, + "via_waypoint_km": 16551.8, + "detour_km": 11773.4, + "detour_percent": 246.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Pyatykhatky", + " End: Bhiwandi", + " Waypoint: Middelburg", + "Step 2: Calculate direct distance", + " Start → End: 4778.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16551.8 km", + "Step 4: Calculate detour", + " Detour = 16551.8 - 4778.4 = 11773.4 km", + " Detour % = (11773.4 / 4778.4) × 100 = 246.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 246.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 7.83793, + "lon": -72.5037, + "name": "Los Patios" + }, + "end": { + "lat": 32.02684, + "lon": 12.35643, + "name": "Ar Rayāyinah" + }, + "waypoint": { + "lat": 41.27976, + "lon": 36.3361, + "name": "Samsun" + }, + "question": "Is Samsun approximately on the direct path from Los Patios to Ar Rayāyinah?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9064.0, + "via_waypoint_km": 13332.7, + "detour_km": 4268.7, + "detour_percent": 47.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Los Patios", + " End: Ar Rayāyinah", + " Waypoint: Samsun", + "Step 2: Calculate direct distance", + " Start → End: 9064.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13332.7 km", + "Step 4: Calculate detour", + " Detour = 13332.7 - 9064.0 = 4268.7 km", + " Detour % = (4268.7 / 9064.0) × 100 = 47.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 47.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 48.18623, + "lon": 16.2965, + "name": "Hietzing" + }, + "end": { + "lat": 52.64738, + "lon": -1.08647, + "name": "Humberstone" + }, + "waypoint": { + "lat": 33.71372, + "lon": -117.76091, + "name": "Northwood" + }, + "question": "Is Northwood approximately on the direct path from Hietzing to Humberstone?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1323.6, + "via_waypoint_km": 18458.2, + "detour_km": 17134.6, + "detour_percent": 1294.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Hietzing", + " End: Humberstone", + " Waypoint: Northwood", + "Step 2: Calculate direct distance", + " Start → End: 1323.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18458.2 km", + "Step 4: Calculate detour", + " Detour = 18458.2 - 1323.6 = 17134.6 km", + " Detour % = (17134.6 / 1323.6) × 100 = 1294.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1294.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -22.53611, + "lon": -55.72556, + "name": "Ponta Porã" + }, + "end": { + "lat": -14.11667, + "lon": 13.25, + "name": "Camucuio" + }, + "waypoint": { + "lat": -34.02903, + "lon": 24.76912, + "name": "Humansdorp" + }, + "question": "Is Humansdorp approximately on the direct path from Ponta Porã to Camucuio?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7282.2, + "via_waypoint_km": 10290.8, + "detour_km": 3008.5, + "detour_percent": 41.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ponta Porã", + " End: Camucuio", + " Waypoint: Humansdorp", + "Step 2: Calculate direct distance", + " Start → End: 7282.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10290.8 km", + "Step 4: Calculate detour", + " Detour = 10290.8 - 7282.2 = 3008.5 km", + " Detour % = (3008.5 / 7282.2) × 100 = 41.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 41.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.40366, + "lon": -1.26049, + "name": "Thatcham" + }, + "end": { + "lat": 36.51611, + "lon": 6.32722, + "name": "Grarem" + }, + "waypoint": { + "lat": 24.09082, + "lon": 32.89942, + "name": "Aswān" + }, + "question": "Is Aswān approximately on the direct path from Thatcham to Grarem?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1761.0, + "via_waypoint_km": 7089.0, + "detour_km": 5328.0, + "detour_percent": 302.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Thatcham", + " End: Grarem", + " Waypoint: Aswān", + "Step 2: Calculate direct distance", + " Start → End: 1761.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 7089.0 km", + "Step 4: Calculate detour", + " Detour = 7089.0 - 1761.0 = 5328.0 km", + " Detour % = (5328.0 / 1761.0) × 100 = 302.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 302.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.9414, + "lon": 14.27588, + "name": "Frattamaggiore" + }, + "end": { + "lat": 13.73538, + "lon": -89.20221, + "name": "Ayutuxtepeque" + }, + "waypoint": { + "lat": 17.51258, + "lon": 78.28854, + "name": "Rāmachandrapuran" + }, + "question": "Is Rāmachandrapuran approximately on the direct path from Frattamaggiore to Ayutuxtepeque?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10105.9, + "via_waypoint_km": 22856.0, + "detour_km": 12750.2, + "detour_percent": 126.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Frattamaggiore", + " End: Ayutuxtepeque", + " Waypoint: Rāmachandrapuran", + "Step 2: Calculate direct distance", + " Start → End: 10105.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22856.0 km", + "Step 4: Calculate detour", + " Detour = 22856.0 - 10105.9 = 12750.2 km", + " Detour % = (12750.2 / 10105.9) × 100 = 126.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 126.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 26.41869, + "lon": -81.4173, + "name": "Immokalee" + }, + "end": { + "lat": -1.69405, + "lon": 40.17015, + "name": "Masalani" + }, + "waypoint": { + "lat": 40.71331, + "lon": 72.05706, + "name": "Shahrixon" + }, + "question": "Is Shahrixon approximately on the direct path from Immokalee to Masalani?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13212.1, + "via_waypoint_km": 17777.8, + "detour_km": 4565.7, + "detour_percent": 34.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Immokalee", + " End: Masalani", + " Waypoint: Shahrixon", + "Step 2: Calculate direct distance", + " Start → End: 13212.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17777.8 km", + "Step 4: Calculate detour", + " Detour = 17777.8 - 13212.1 = 4565.7 km", + " Detour % = (4565.7 / 13212.1) × 100 = 34.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 34.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 41.24944, + "lon": 71.54738, + "name": "Kosonsoy" + }, + "end": { + "lat": 39.43167, + "lon": 125.93278, + "name": "Sunch’ŏn" + }, + "waypoint": { + "lat": 36.09005, + "lon": 136.35994, + "name": "Iijima" + }, + "question": "Is Iijima approximately on the direct path from Kosonsoy to Sunch’ŏn?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4537.2, + "via_waypoint_km": 6513.3, + "detour_km": 1976.1, + "detour_percent": 43.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kosonsoy", + " End: Sunch’ŏn", + " Waypoint: Iijima", + "Step 2: Calculate direct distance", + " Start → End: 4537.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 6513.3 km", + "Step 4: Calculate detour", + " Detour = 6513.3 - 4537.2 = 1976.1 km", + " Detour % = (1976.1 / 4537.2) × 100 = 43.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 43.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -33.73333, + "lon": 150.93284, + "name": "Glenwood" + }, + "end": { + "lat": -27.66757, + "lon": 152.92488, + "name": "Springfield Lakes" + }, + "waypoint": { + "lat": 4.49154, + "lon": -74.25957, + "name": "Sibaté" + }, + "question": "Is Sibaté approximately on the direct path from Glenwood to Springfield Lakes?", + "ground_truth": { + "answer": false, + "direct_distance_km": 700.8, + "via_waypoint_km": 28734.1, + "detour_km": 28033.3, + "detour_percent": 4000.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Glenwood", + " End: Springfield Lakes", + " Waypoint: Sibaté", + "Step 2: Calculate direct distance", + " Start → End: 700.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 28734.1 km", + "Step 4: Calculate detour", + " Detour = 28734.1 - 700.8 = 28033.3 km", + " Detour % = (28033.3 / 700.8) × 100 = 4000.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 4000.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.96134, + "lon": -120.06072, + "name": "Madera" + }, + "end": { + "lat": 26.45756, + "lon": 80.77403, + "name": "Purwā" + }, + "waypoint": { + "lat": -23.52272, + "lon": -46.835, + "name": "Carapicuíba" + }, + "question": "Is Carapicuíba approximately on the direct path from Madera to Purwā?", + "ground_truth": { + "answer": false, + "direct_distance_km": 12634.1, + "via_waypoint_km": 24950.2, + "detour_km": 12316.1, + "detour_percent": 97.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Madera", + " End: Purwā", + " Waypoint: Carapicuíba", + "Step 2: Calculate direct distance", + " Start → End: 12634.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24950.2 km", + "Step 4: Calculate detour", + " Detour = 24950.2 - 12634.1 = 12316.1 km", + " Detour % = (12316.1 / 12634.1) × 100 = 97.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 97.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 48.43174, + "lon": 17.8031, + "name": "Hlohovec" + }, + "end": { + "lat": 46.51127, + "lon": 6.49854, + "name": "Morges" + }, + "waypoint": { + "lat": 33.34058, + "lon": 44.40088, + "name": "Baghdad" + }, + "question": "Is Baghdad approximately on the direct path from Hlohovec to Morges?", + "ground_truth": { + "answer": false, + "direct_distance_km": 875.2, + "via_waypoint_km": 6277.0, + "detour_km": 5401.8, + "detour_percent": 617.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Hlohovec", + " End: Morges", + " Waypoint: Baghdad", + "Step 2: Calculate direct distance", + " Start → End: 875.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 6277.0 km", + "Step 4: Calculate detour", + " Detour = 6277.0 - 875.2 = 5401.8 km", + " Detour % = (5401.8 / 875.2) × 100 = 617.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 617.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 13.26667, + "lon": -16.76056, + "name": "Sanyang" + }, + "end": { + "lat": 11.7507, + "lon": 75.61988, + "name": "Kolavallúr" + }, + "waypoint": { + "lat": -23.52278, + "lon": -46.18833, + "name": "Mogi das Cruzes" + }, + "question": "Is Mogi das Cruzes approximately on the direct path from Sanyang to Kolavallúr?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9962.0, + "via_waypoint_km": 18945.5, + "detour_km": 8983.6, + "detour_percent": 90.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sanyang", + " End: Kolavallúr", + " Waypoint: Mogi das Cruzes", + "Step 2: Calculate direct distance", + " Start → End: 9962.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18945.5 km", + "Step 4: Calculate detour", + " Detour = 18945.5 - 9962.0 = 8983.6 km", + " Detour % = (8983.6 / 9962.0) × 100 = 90.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 90.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 24.06091, + "lon": 77.41044, + "name": "Lateri" + }, + "end": { + "lat": -34.79123, + "lon": -54.91824, + "name": "San Carlos" + }, + "waypoint": { + "lat": 45.18885, + "lon": -93.39745, + "name": "Champlin" + }, + "question": "Is Champlin approximately on the direct path from Lateri to San Carlos?", + "ground_truth": { + "answer": false, + "direct_distance_km": 15292.3, + "via_waypoint_km": 21958.4, + "detour_km": 6666.1, + "detour_percent": 43.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Lateri", + " End: San Carlos", + " Waypoint: Champlin", + "Step 2: Calculate direct distance", + " Start → End: 15292.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21958.4 km", + "Step 4: Calculate detour", + " Detour = 21958.4 - 15292.3 = 6666.1 km", + " Detour % = (6666.1 / 15292.3) × 100 = 43.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 43.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 23.93428, + "lon": 88.26018, + "name": "Beldānga" + }, + "end": { + "lat": 10.49285, + "lon": 76.10267, + "name": "Manalur" + }, + "waypoint": { + "lat": 25.98454, + "lon": -80.19894, + "name": "West Park" + }, + "question": "Is West Park approximately on the direct path from Beldānga to Manalur?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1972.5, + "via_waypoint_km": 29544.2, + "detour_km": 27571.7, + "detour_percent": 1397.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Beldānga", + " End: Manalur", + " Waypoint: West Park", + "Step 2: Calculate direct distance", + " Start → End: 1972.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 29544.2 km", + "Step 4: Calculate detour", + " Detour = 29544.2 - 1972.5 = 27571.7 km", + " Detour % = (27571.7 / 1972.5) × 100 = 1397.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1397.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -15.24835, + "lon": 23.12741, + "name": "Mongu" + }, + "end": { + "lat": 30.56977, + "lon": 32.1146, + "name": "Abu Suweir-el-Mahatta" + }, + "waypoint": { + "lat": 12.22336, + "lon": 4.37971, + "name": "Jega" + }, + "question": "Is Jega approximately on the direct path from Mongu to Abu Suweir-el-Mahatta?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5184.7, + "via_waypoint_km": 7190.9, + "detour_km": 2006.2, + "detour_percent": 38.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mongu", + " End: Abu Suweir-el-Mahatta", + " Waypoint: Jega", + "Step 2: Calculate direct distance", + " Start → End: 5184.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 7190.9 km", + "Step 4: Calculate detour", + " Detour = 7190.9 - 5184.7 = 2006.2 km", + " Detour % = (2006.2 / 5184.7) × 100 = 38.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 38.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 44.65486, + "lon": 20.20017, + "name": "Obrenovac" + }, + "end": { + "lat": 53.71667, + "lon": -1.85, + "name": "Halifax" + }, + "waypoint": { + "lat": -33.7511, + "lon": 151.28886, + "name": "Dee Why" + }, + "question": "Is Dee Why approximately on the direct path from Obrenovac to Halifax?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1881.1, + "via_waypoint_km": 32653.9, + "detour_km": 30772.8, + "detour_percent": 1635.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Obrenovac", + " End: Halifax", + " Waypoint: Dee Why", + "Step 2: Calculate direct distance", + " Start → End: 1881.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 32653.9 km", + "Step 4: Calculate detour", + " Detour = 32653.9 - 1881.1 = 30772.8 km", + " Detour % = (30772.8 / 1881.1) × 100 = 1635.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1635.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 43.37224, + "lon": 5.35386, + "name": "Marseille 15" + }, + "end": { + "lat": -22.58056, + "lon": -47.51861, + "name": "Iracemápolis" + }, + "waypoint": { + "lat": 36.03452, + "lon": -89.38563, + "name": "Dyersburg" + }, + "question": "Is Dyersburg approximately on the direct path from Marseille 15 to Iracemápolis?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9103.5, + "via_waypoint_km": 15556.5, + "detour_km": 6453.0, + "detour_percent": 70.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Marseille 15", + " End: Iracemápolis", + " Waypoint: Dyersburg", + "Step 2: Calculate direct distance", + " Start → End: 9103.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15556.5 km", + "Step 4: Calculate detour", + " Detour = 15556.5 - 9103.5 = 6453.0 km", + " Detour % = (6453.0 / 9103.5) × 100 = 70.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 70.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 34.83475, + "lon": 134.57803, + "name": "Ikaruga" + }, + "end": { + "lat": 33.08901, + "lon": -96.88639, + "name": "The Colony" + }, + "waypoint": { + "lat": 14.33236, + "lon": -16.40513, + "name": "Fatick" + }, + "question": "Is Fatick approximately on the direct path from Ikaruga to The Colony?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10752.0, + "via_waypoint_km": 22018.4, + "detour_km": 11266.4, + "detour_percent": 104.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ikaruga", + " End: The Colony", + " Waypoint: Fatick", + "Step 2: Calculate direct distance", + " Start → End: 10752.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22018.4 km", + "Step 4: Calculate detour", + " Detour = 22018.4 - 10752.0 = 11266.4 km", + " Detour % = (11266.4 / 10752.0) × 100 = 104.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 104.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 49.10107, + "lon": -122.65883, + "name": "Langley" + }, + "end": { + "lat": 13.67806, + "lon": -1.54611, + "name": "Bourzanga" + }, + "waypoint": { + "lat": 0.08213, + "lon": 34.72139, + "name": "Mbale" + }, + "question": "Is Mbale approximately on the direct path from Langley to Bourzanga?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10966.7, + "via_waypoint_km": 18402.9, + "detour_km": 7436.2, + "detour_percent": 67.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Langley", + " End: Bourzanga", + " Waypoint: Mbale", + "Step 2: Calculate direct distance", + " Start → End: 10966.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18402.9 km", + "Step 4: Calculate detour", + " Detour = 18402.9 - 10966.7 = 7436.2 km", + " Detour % = (7436.2 / 10966.7) × 100 = 67.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 67.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 50.96264, + "lon": 16.35006, + "name": "Strzegom" + }, + "end": { + "lat": 69.96887, + "lon": 23.27165, + "name": "Alta" + }, + "waypoint": { + "lat": -9.17307, + "lon": 33.54152, + "name": "Kiwira" + }, + "question": "Is Kiwira approximately on the direct path from Strzegom to Alta?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2143.9, + "via_waypoint_km": 15724.4, + "detour_km": 13580.4, + "detour_percent": 633.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Strzegom", + " End: Alta", + " Waypoint: Kiwira", + "Step 2: Calculate direct distance", + " Start → End: 2143.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15724.4 km", + "Step 4: Calculate detour", + " Detour = 15724.4 - 2143.9 = 13580.4 km", + " Detour % = (13580.4 / 2143.9) × 100 = 633.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 633.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 15.5865, + "lon": 121.1834, + "name": "Laur" + }, + "end": { + "lat": 33.01667, + "lon": 35.26667, + "name": "maalot Tarshīhā" + }, + "waypoint": { + "lat": -34.90328, + "lon": -56.18816, + "name": "Montevideo" + }, + "question": "Is Montevideo approximately on the direct path from Laur to maalot Tarshīhā?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8699.2, + "via_waypoint_km": 29996.2, + "detour_km": 21297.0, + "detour_percent": 244.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Laur", + " End: maalot Tarshīhā", + " Waypoint: Montevideo", + "Step 2: Calculate direct distance", + " Start → End: 8699.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 29996.2 km", + "Step 4: Calculate detour", + " Detour = 29996.2 - 8699.2 = 21297.0 km", + " Detour % = (21297.0 / 8699.2) × 100 = 244.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 244.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 48.04243, + "lon": 38.14728, + "name": "Khartsyzk" + }, + "end": { + "lat": 11.54444, + "lon": -72.90722, + "name": "Riohacha" + }, + "waypoint": { + "lat": -31.89578, + "lon": 115.76431, + "name": "Scarborough" + }, + "question": "Is Scarborough approximately on the direct path from Khartsyzk to Riohacha?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10559.4, + "via_waypoint_km": 29341.1, + "detour_km": 18781.8, + "detour_percent": 177.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Khartsyzk", + " End: Riohacha", + " Waypoint: Scarborough", + "Step 2: Calculate direct distance", + " Start → End: 10559.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 29341.1 km", + "Step 4: Calculate detour", + " Detour = 29341.1 - 10559.4 = 18781.8 km", + " Detour % = (18781.8 / 10559.4) × 100 = 177.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 177.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 6.84684, + "lon": -1.39612, + "name": "Effiduase" + }, + "end": { + "lat": -33.22795, + "lon": -60.32994, + "name": "Villa Constitución" + }, + "waypoint": { + "lat": 60.24859, + "lon": 24.06534, + "name": "Lohja" + }, + "question": "Is Lohja approximately on the direct path from Effiduase to Villa Constitución?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7639.1, + "via_waypoint_km": 19186.1, + "detour_km": 11547.0, + "detour_percent": 151.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Effiduase", + " End: Villa Constitución", + " Waypoint: Lohja", + "Step 2: Calculate direct distance", + " Start → End: 7639.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19186.1 km", + "Step 4: Calculate detour", + " Detour = 19186.1 - 7639.1 = 11547.0 km", + " Detour % = (11547.0 / 7639.1) × 100 = 151.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 151.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -9.44389, + "lon": -61.98139, + "name": "Machadinho d'Oeste" + }, + "end": { + "lat": 19.685, + "lon": -99.12806, + "name": "Tultepec" + }, + "waypoint": { + "lat": 45.15, + "lon": 26.83333, + "name": "Buzău" + }, + "question": "Is Buzău approximately on the direct path from Machadinho d'Oeste to Tultepec?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5199.4, + "via_waypoint_km": 21632.3, + "detour_km": 16432.9, + "detour_percent": 316.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Machadinho d'Oeste", + " End: Tultepec", + " Waypoint: Buzău", + "Step 2: Calculate direct distance", + " Start → End: 5199.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21632.3 km", + "Step 4: Calculate detour", + " Detour = 21632.3 - 5199.4 = 16432.9 km", + " Detour % = (16432.9 / 5199.4) × 100 = 316.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 316.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 7.53333, + "lon": 1.13333, + "name": "Atakpamé" + }, + "end": { + "lat": -7.1, + "lon": 31.23333, + "name": "Usevia" + }, + "waypoint": { + "lat": 55.81667, + "lon": 23.53333, + "name": "Radviliskis" + }, + "question": "Is Radviliskis approximately on the direct path from Atakpamé to Usevia?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3713.3, + "via_waypoint_km": 12751.1, + "detour_km": 9037.8, + "detour_percent": 243.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Atakpamé", + " End: Usevia", + " Waypoint: Radviliskis", + "Step 2: Calculate direct distance", + " Start → End: 3713.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12751.1 km", + "Step 4: Calculate detour", + " Detour = 12751.1 - 3713.3 = 9037.8 km", + " Detour % = (9037.8 / 3713.3) × 100 = 243.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 243.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 20.48273, + "lon": 77.48857, + "name": "Kāranja" + }, + "end": { + "lat": 49.40719, + "lon": 38.15362, + "name": "Svatove" + }, + "waypoint": { + "lat": 30.03, + "lon": 31.47, + "name": "New Cairo" + }, + "question": "Is New Cairo approximately on the direct path from Kāranja to Svatove?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4726.8, + "via_waypoint_km": 6942.9, + "detour_km": 2216.1, + "detour_percent": 46.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kāranja", + " End: Svatove", + " Waypoint: New Cairo", + "Step 2: Calculate direct distance", + " Start → End: 4726.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 6942.9 km", + "Step 4: Calculate detour", + " Detour = 6942.9 - 4726.8 = 2216.1 km", + " Detour % = (2216.1 / 4726.8) × 100 = 46.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 46.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 27.83333, + "lon": 114.4, + "name": "Yichun" + }, + "end": { + "lat": 19.0804, + "lon": 83.80879, + "name": "Gunupur" + }, + "waypoint": { + "lat": -15.90864, + "lon": -48.06447, + "name": "Recanto das Emas" + }, + "question": "Is Recanto das Emas approximately on the direct path from Yichun to Gunupur?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3258.4, + "via_waypoint_km": 32690.8, + "detour_km": 29432.3, + "detour_percent": 903.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Yichun", + " End: Gunupur", + " Waypoint: Recanto das Emas", + "Step 2: Calculate direct distance", + " Start → End: 3258.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 32690.8 km", + "Step 4: Calculate detour", + " Detour = 32690.8 - 3258.4 = 29432.3 km", + " Detour % = (29432.3 / 3258.4) × 100 = 903.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 903.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 42.03083, + "lon": 21.44667, + "name": "Butel" + }, + "end": { + "lat": 43.65783, + "lon": 6.92537, + "name": "Grasse" + }, + "waypoint": { + "lat": 13.41778, + "lon": -16.66667, + "name": "Faji Kunda" + }, + "question": "Is Faji Kunda approximately on the direct path from Butel to Grasse?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1196.1, + "via_waypoint_km": 8896.5, + "detour_km": 7700.5, + "detour_percent": 643.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Butel", + " End: Grasse", + " Waypoint: Faji Kunda", + "Step 2: Calculate direct distance", + " Start → End: 1196.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 8896.5 km", + "Step 4: Calculate detour", + " Detour = 8896.5 - 1196.1 = 7700.5 km", + " Detour % = (7700.5 / 1196.1) × 100 = 643.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 643.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 42.48059, + "lon": -83.47549, + "name": "Novi" + }, + "end": { + "lat": -24.79456, + "lon": 31.10277, + "name": "Dwarsloop" + }, + "waypoint": { + "lat": 53.55018, + "lon": 9.94653, + "name": "Altona-Altstadt" + }, + "question": "Is Altona-Altstadt approximately on the direct path from Novi to Dwarsloop?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13807.4, + "via_waypoint_km": 15492.5, + "detour_km": 1685.1, + "detour_percent": 12.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Novi", + " End: Dwarsloop", + " Waypoint: Altona-Altstadt", + "Step 2: Calculate direct distance", + " Start → End: 13807.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15492.5 km", + "Step 4: Calculate detour", + " Detour = 15492.5 - 13807.4 = 1685.1 km", + " Detour % = (1685.1 / 13807.4) × 100 = 12.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 12.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.62035, + "lon": -4.49976, + "name": "Torremolinos" + }, + "end": { + "lat": 46.30444, + "lon": 16.33778, + "name": "Varaždin" + }, + "waypoint": { + "lat": -37.81667, + "lon": 144.9, + "name": "Yarraville" + }, + "question": "Is Yarraville approximately on the direct path from Torremolinos to Varaždin?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2033.7, + "via_waypoint_km": 33057.6, + "detour_km": 31023.9, + "detour_percent": 1525.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Torremolinos", + " End: Varaždin", + " Waypoint: Yarraville", + "Step 2: Calculate direct distance", + " Start → End: 2033.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 33057.6 km", + "Step 4: Calculate detour", + " Detour = 33057.6 - 2033.7 = 31023.9 km", + " Detour % = (31023.9 / 2033.7) × 100 = 1525.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1525.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 50.0885, + "lon": 45.41277, + "name": "Kamyshin" + }, + "end": { + "lat": 4.86641, + "lon": -2.24181, + "name": "Esim" + }, + "waypoint": { + "lat": 20.00864, + "lon": 110.35384, + "name": "Qiongshan" + }, + "question": "Is Qiongshan approximately on the direct path from Kamyshin to Esim?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6703.3, + "via_waypoint_km": 18694.9, + "detour_km": 11991.5, + "detour_percent": 178.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kamyshin", + " End: Esim", + " Waypoint: Qiongshan", + "Step 2: Calculate direct distance", + " Start → End: 6703.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18694.9 km", + "Step 4: Calculate detour", + " Detour = 18694.9 - 6703.3 = 11991.5 km", + " Detour % = (11991.5 / 6703.3) × 100 = 178.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 178.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 19.35529, + "lon": -99.06224, + "name": "Iztapalapa" + }, + "end": { + "lat": 45.09413, + "lon": -93.35634, + "name": "Brooklyn Park" + }, + "waypoint": { + "lat": 50.93275, + "lon": 7.28389, + "name": "Overath" + }, + "question": "Is Overath approximately on the direct path from Iztapalapa to Brooklyn Park?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2910.1, + "via_waypoint_km": 16340.0, + "detour_km": 13429.9, + "detour_percent": 461.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Iztapalapa", + " End: Brooklyn Park", + " Waypoint: Overath", + "Step 2: Calculate direct distance", + " Start → End: 2910.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16340.0 km", + "Step 4: Calculate detour", + " Detour = 16340.0 - 2910.1 = 13429.9 km", + " Detour % = (13429.9 / 2910.1) × 100 = 461.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 461.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -14.81909, + "lon": 14.53504, + "name": "Quipungo" + }, + "end": { + "lat": -22.73944, + "lon": -45.59139, + "name": "Campos do Jordão" + }, + "waypoint": { + "lat": 41.40237, + "lon": 2.15641, + "name": "Gràcia" + }, + "question": "Is Gràcia approximately on the direct path from Quipungo to Campos do Jordão?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6350.9, + "via_waypoint_km": 15042.7, + "detour_km": 8691.8, + "detour_percent": 136.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Quipungo", + " End: Campos do Jordão", + " Waypoint: Gràcia", + "Step 2: Calculate direct distance", + " Start → End: 6350.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15042.7 km", + "Step 4: Calculate detour", + " Detour = 15042.7 - 6350.9 = 8691.8 km", + " Detour % = (8691.8 / 6350.9) × 100 = 136.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 136.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 16.16406, + "lon": 44.77692, + "name": "Al Ḩazm" + }, + "end": { + "lat": -22.92389, + "lon": -45.46167, + "name": "Pindamonhangaba" + }, + "waypoint": { + "lat": 47.66033, + "lon": 9.17582, + "name": "Konstanz" + }, + "question": "Is Konstanz approximately on the direct path from Al Ḩazm to Pindamonhangaba?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10723.4, + "via_waypoint_km": 14331.7, + "detour_km": 3608.4, + "detour_percent": 33.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Al Ḩazm", + " End: Pindamonhangaba", + " Waypoint: Konstanz", + "Step 2: Calculate direct distance", + " Start → End: 10723.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14331.7 km", + "Step 4: Calculate detour", + " Detour = 14331.7 - 10723.4 = 3608.4 km", + " Detour % = (3608.4 / 10723.4) × 100 = 33.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 33.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 42.07694, + "lon": 20.42194, + "name": "Kukës" + }, + "end": { + "lat": 21.78129, + "lon": -103.30436, + "name": "Tlaltenango de Sánchez Román" + }, + "waypoint": { + "lat": -33.13044, + "lon": -64.35272, + "name": "Río Cuarto" + }, + "question": "Is Río Cuarto approximately on the direct path from Kukës to Tlaltenango de Sánchez Román?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10864.0, + "via_waypoint_km": 19385.5, + "detour_km": 8521.4, + "detour_percent": 78.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kukës", + " End: Tlaltenango de Sánchez Román", + " Waypoint: Río Cuarto", + "Step 2: Calculate direct distance", + " Start → End: 10864.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19385.5 km", + "Step 4: Calculate detour", + " Detour = 19385.5 - 10864.0 = 8521.4 km", + " Detour % = (8521.4 / 10864.0) × 100 = 78.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 78.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 25.63442, + "lon": 88.32665, + "name": "Kāliyāganj" + }, + "end": { + "lat": 19.66529, + "lon": 82.20629, + "name": "Umarkot" + }, + "waypoint": { + "lat": 51.99399, + "lon": 6.91918, + "name": "Stadtlohn" + }, + "question": "Is Stadtlohn approximately on the direct path from Kāliyāganj to Umarkot?", + "ground_truth": { + "answer": false, + "direct_distance_km": 913.5, + "via_waypoint_km": 14518.3, + "detour_km": 13604.8, + "detour_percent": 1489.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kāliyāganj", + " End: Umarkot", + " Waypoint: Stadtlohn", + "Step 2: Calculate direct distance", + " Start → End: 913.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14518.3 km", + "Step 4: Calculate detour", + " Detour = 14518.3 - 913.5 = 13604.8 km", + " Detour % = (13604.8 / 913.5) × 100 = 1489.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1489.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 33.99829, + "lon": 71.99834, + "name": "Nowshera Cantonment" + }, + "end": { + "lat": 53.53344, + "lon": -113.91874, + "name": "Spruce Grove" + }, + "waypoint": { + "lat": 51.55295, + "lon": 0.55962, + "name": "South Benfleet" + }, + "question": "Is South Benfleet approximately on the direct path from Nowshera Cantonment to Spruce Grove?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10265.3, + "via_waypoint_km": 12733.4, + "detour_km": 2468.1, + "detour_percent": 24.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Nowshera Cantonment", + " End: Spruce Grove", + " Waypoint: South Benfleet", + "Step 2: Calculate direct distance", + " Start → End: 10265.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12733.4 km", + "Step 4: Calculate detour", + " Detour = 12733.4 - 10265.3 = 2468.1 km", + " Detour % = (2468.1 / 10265.3) × 100 = 24.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 24.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 32.27639, + "lon": 35.59938, + "name": "Kurayyimah" + }, + "end": { + "lat": 38.40886, + "lon": 141.17901, + "name": "Higashimatsushima" + }, + "waypoint": { + "lat": 43.10562, + "lon": 131.87353, + "name": "Vladivostok" + }, + "question": "Is Vladivostok approximately on the direct path from Kurayyimah to Higashimatsushima?", + "ground_truth": { + "answer": true, + "direct_distance_km": 9023.6, + "via_waypoint_km": 9024.3, + "detour_km": 0.7, + "detour_percent": 0.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kurayyimah", + " End: Higashimatsushima", + " Waypoint: Vladivostok", + "Step 2: Calculate direct distance", + " Start → End: 9023.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9024.3 km", + "Step 4: Calculate detour", + " Detour = 9024.3 - 9023.6 = 0.7 km", + " Detour % = (0.7 / 9023.6) × 100 = 0.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.0% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 48.77186, + "lon": 2.01891, + "name": "Saint-Quentin-en-Yvelines" + }, + "end": { + "lat": 37.0629, + "lon": 10.11829, + "name": "Galaat el Andeless" + }, + "waypoint": { + "lat": 25.18544, + "lon": 55.26969, + "name": "Business Bay" + }, + "question": "Is Business Bay approximately on the direct path from Saint-Quentin-en-Yvelines to Galaat el Andeless?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1457.5, + "via_waypoint_km": 9721.4, + "detour_km": 8263.9, + "detour_percent": 567.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Saint-Quentin-en-Yvelines", + " End: Galaat el Andeless", + " Waypoint: Business Bay", + "Step 2: Calculate direct distance", + " Start → End: 1457.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9721.4 km", + "Step 4: Calculate detour", + " Detour = 9721.4 - 1457.5 = 8263.9 km", + " Detour % = (8263.9 / 1457.5) × 100 = 567.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 567.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.45342, + "lon": 6.6326, + "name": "Moers" + }, + "end": { + "lat": 22.12745, + "lon": 75.61101, + "name": "Kasrāwad" + }, + "waypoint": { + "lat": 14.25054, + "lon": -5.98679, + "name": "Niono" + }, + "question": "Is Niono approximately on the direct path from Moers to Kasrāwad?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6659.4, + "via_waypoint_km": 12856.9, + "detour_km": 6197.5, + "detour_percent": 93.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Moers", + " End: Kasrāwad", + " Waypoint: Niono", + "Step 2: Calculate direct distance", + " Start → End: 6659.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12856.9 km", + "Step 4: Calculate detour", + " Detour = 12856.9 - 6659.4 = 6197.5 km", + " Detour % = (6197.5 / 6659.4) × 100 = 93.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 93.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 14.42922, + "lon": 120.87989, + "name": "Noveleta" + }, + "end": { + "lat": 40.65205, + "lon": -73.95903, + "name": "Flatbush" + }, + "waypoint": { + "lat": -24.50944, + "lon": -48.8425, + "name": "Apiaí" + }, + "question": "Is Apiaí approximately on the direct path from Noveleta to Flatbush?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13701.9, + "via_waypoint_km": 26158.6, + "detour_km": 12456.8, + "detour_percent": 90.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Noveleta", + " End: Flatbush", + " Waypoint: Apiaí", + "Step 2: Calculate direct distance", + " Start → End: 13701.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26158.6 km", + "Step 4: Calculate detour", + " Detour = 26158.6 - 13701.9 = 12456.8 km", + " Detour % = (12456.8 / 13701.9) × 100 = 90.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 90.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 24.1989, + "lon": 23.29093, + "name": "Al Jawf" + }, + "end": { + "lat": 51.22316, + "lon": 1.4028, + "name": "Deal" + }, + "waypoint": { + "lat": -13.65556, + "lon": -73.38722, + "name": "Andahuaylas" + }, + "question": "Is Andahuaylas approximately on the direct path from Al Jawf to Deal?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3539.1, + "via_waypoint_km": 21452.3, + "detour_km": 17913.2, + "detour_percent": 506.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Al Jawf", + " End: Deal", + " Waypoint: Andahuaylas", + "Step 2: Calculate direct distance", + " Start → End: 3539.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21452.3 km", + "Step 4: Calculate detour", + " Detour = 21452.3 - 3539.1 = 17913.2 km", + " Detour % = (17913.2 / 3539.1) × 100 = 506.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 506.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -32.73308, + "lon": 151.5574, + "name": "Maitland" + }, + "end": { + "lat": -9.07786, + "lon": 143.20893, + "name": "Daru" + }, + "waypoint": { + "lat": 28.49938, + "lon": 77.29104, + "name": "Pul Pehlad" + }, + "question": "Is Pul Pehlad approximately on the direct path from Maitland to Daru?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2766.8, + "via_waypoint_km": 18581.6, + "detour_km": 15814.9, + "detour_percent": 571.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Maitland", + " End: Daru", + " Waypoint: Pul Pehlad", + "Step 2: Calculate direct distance", + " Start → End: 2766.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18581.6 km", + "Step 4: Calculate detour", + " Detour = 18581.6 - 2766.8 = 15814.9 km", + " Detour % = (15814.9 / 2766.8) × 100 = 571.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 571.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 16.75357, + "lon": -93.11578, + "name": "Tuxtla" + }, + "end": { + "lat": 36.65, + "lon": 140.15, + "name": "Karasuyama" + }, + "waypoint": { + "lat": -6.10917, + "lon": -38.20444, + "name": "Pau dos Ferros" + }, + "question": "Is Pau dos Ferros approximately on the direct path from Tuxtla to Karasuyama?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11864.9, + "via_waypoint_km": 23163.6, + "detour_km": 11298.7, + "detour_percent": 95.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tuxtla", + " End: Karasuyama", + " Waypoint: Pau dos Ferros", + "Step 2: Calculate direct distance", + " Start → End: 11864.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23163.6 km", + "Step 4: Calculate detour", + " Detour = 23163.6 - 11864.9 = 11298.7 km", + " Detour % = (11298.7 / 11864.9) × 100 = 95.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 95.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 38.325, + "lon": 23.31889, + "name": "Thívai" + }, + "end": { + "lat": 48.51716, + "lon": 34.60617, + "name": "Kamyanske" + }, + "waypoint": { + "lat": 18.45119, + "lon": 105.77969, + "name": "Nghèn" + }, + "question": "Is Nghèn approximately on the direct path from Thívai to Kamyanske?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1451.2, + "via_waypoint_km": 15212.8, + "detour_km": 13761.6, + "detour_percent": 948.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Thívai", + " End: Kamyanske", + " Waypoint: Nghèn", + "Step 2: Calculate direct distance", + " Start → End: 1451.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15212.8 km", + "Step 4: Calculate detour", + " Detour = 15212.8 - 1451.2 = 13761.6 km", + " Detour % = (13761.6 / 1451.2) × 100 = 948.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 948.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 5.48956, + "lon": 6.00407, + "name": "Ughelli" + }, + "end": { + "lat": 0.45972, + "lon": 33.48028, + "name": "Mayuge" + }, + "waypoint": { + "lat": 41.63031, + "lon": -87.85394, + "name": "Orland Park" + }, + "question": "Is Orland Park approximately on the direct path from Ughelli to Mayuge?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3100.9, + "via_waypoint_km": 22435.6, + "detour_km": 19334.7, + "detour_percent": 623.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ughelli", + " End: Mayuge", + " Waypoint: Orland Park", + "Step 2: Calculate direct distance", + " Start → End: 3100.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22435.6 km", + "Step 4: Calculate detour", + " Detour = 22435.6 - 3100.9 = 19334.7 km", + " Detour % = (19334.7 / 3100.9) × 100 = 623.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 623.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -43.30437, + "lon": 172.58356, + "name": "Rangiora" + }, + "end": { + "lat": 18.65297, + "lon": -72.09391, + "name": "Thomazeau" + }, + "waypoint": { + "lat": 1.4726, + "lon": 103.878, + "name": "Kampung Pasir Gudang Baru" + }, + "question": "Is Kampung Pasir Gudang Baru approximately on the direct path from Rangiora to Thomazeau?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13448.9, + "via_waypoint_km": 26154.6, + "detour_km": 12705.7, + "detour_percent": 94.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Rangiora", + " End: Thomazeau", + " Waypoint: Kampung Pasir Gudang Baru", + "Step 2: Calculate direct distance", + " Start → End: 13448.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26154.6 km", + "Step 4: Calculate detour", + " Detour = 26154.6 - 13448.9 = 12705.7 km", + " Detour % = (12705.7 / 13448.9) × 100 = 94.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 94.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 14.53575, + "lon": -91.67848, + "name": "Retalhuleu" + }, + "end": { + "lat": 34.82691, + "lon": 135.47057, + "name": "Minoh" + }, + "waypoint": { + "lat": 35.88889, + "lon": 2.74905, + "name": "Ksar el Boukhari" + }, + "question": "Is Ksar el Boukhari approximately on the direct path from Retalhuleu to Minoh?", + "ground_truth": { + "answer": false, + "direct_distance_km": 12609.0, + "via_waypoint_km": 20206.0, + "detour_km": 7597.0, + "detour_percent": 60.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Retalhuleu", + " End: Minoh", + " Waypoint: Ksar el Boukhari", + "Step 2: Calculate direct distance", + " Start → End: 12609.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20206.0 km", + "Step 4: Calculate detour", + " Detour = 20206.0 - 12609.0 = 7597.0 km", + " Detour % = (7597.0 / 12609.0) × 100 = 60.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 60.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 16.05662, + "lon": 75.94773, + "name": "Amīngarh" + }, + "end": { + "lat": 11.10454, + "lon": 42.36971, + "name": "Dikhil" + }, + "waypoint": { + "lat": 34.48888, + "lon": -118.62287, + "name": "Castaic" + }, + "question": "Is Castaic approximately on the direct path from Amīngarh to Dikhil?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3666.6, + "via_waypoint_km": 28750.3, + "detour_km": 25083.7, + "detour_percent": 684.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Amīngarh", + " End: Dikhil", + " Waypoint: Castaic", + "Step 2: Calculate direct distance", + " Start → End: 3666.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 28750.3 km", + "Step 4: Calculate detour", + " Detour = 28750.3 - 3666.6 = 25083.7 km", + " Detour % = (25083.7 / 3666.6) × 100 = 684.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 684.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -0.61667, + "lon": 31.55, + "name": "Kasaali" + }, + "end": { + "lat": 29.64157, + "lon": 105.62161, + "name": "Sanqu" + }, + "waypoint": { + "lat": 36.13447, + "lon": 36.73979, + "name": "Batabo" + }, + "question": "Is Batabo approximately on the direct path from Kasaali to Sanqu?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8508.1, + "via_waypoint_km": 10460.5, + "detour_km": 1952.4, + "detour_percent": 22.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kasaali", + " End: Sanqu", + " Waypoint: Batabo", + "Step 2: Calculate direct distance", + " Start → End: 8508.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10460.5 km", + "Step 4: Calculate detour", + " Detour = 10460.5 - 8508.1 = 1952.4 km", + " Detour % = (1952.4 / 8508.1) × 100 = 22.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 22.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 47.24723, + "lon": 132.02957, + "name": "Fujin" + }, + "end": { + "lat": 34.2, + "lon": 118.48333, + "name": "Shiji" + }, + "waypoint": { + "lat": -15.75042, + "lon": 26.43839, + "name": "Namwala" + }, + "question": "Is Namwala approximately on the direct path from Fujin to Shiji?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1840.4, + "via_waypoint_km": 23623.0, + "detour_km": 21782.6, + "detour_percent": 1183.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Fujin", + " End: Shiji", + " Waypoint: Namwala", + "Step 2: Calculate direct distance", + " Start → End: 1840.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23623.0 km", + "Step 4: Calculate detour", + " Detour = 23623.0 - 1840.4 = 21782.6 km", + " Detour % = (21782.6 / 1840.4) × 100 = 1183.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1183.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 8.3404, + "lon": 17.7663, + "name": "Moïssala" + }, + "end": { + "lat": 41.41204, + "lon": 2.18247, + "name": "el Camp de l'Arpa del Clot" + }, + "waypoint": { + "lat": 36.49939, + "lon": 36.35755, + "name": "Kırıkhan" + }, + "question": "Is Kırıkhan approximately on the direct path from Moïssala to el Camp de l'Arpa del Clot?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3984.6, + "via_waypoint_km": 6637.4, + "detour_km": 2652.7, + "detour_percent": 66.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Moïssala", + " End: el Camp de l'Arpa del Clot", + " Waypoint: Kırıkhan", + "Step 2: Calculate direct distance", + " Start → End: 3984.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 6637.4 km", + "Step 4: Calculate detour", + " Detour = 6637.4 - 3984.6 = 2652.7 km", + " Detour % = (2652.7 / 3984.6) × 100 = 66.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 66.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -8.7, + "lon": 34.38333, + "name": "Rujewa" + }, + "end": { + "lat": -15.0725, + "lon": -57.18111, + "name": "Barra do Bugres" + }, + "waypoint": { + "lat": -11.84722, + "lon": -40.79139, + "name": "Tapiramutá" + }, + "question": "Is Tapiramutá approximately on the direct path from Rujewa to Barra do Bugres?", + "ground_truth": { + "answer": true, + "direct_distance_km": 9923.0, + "via_waypoint_km": 10016.5, + "detour_km": 93.6, + "detour_percent": 0.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Rujewa", + " End: Barra do Bugres", + " Waypoint: Tapiramutá", + "Step 2: Calculate direct distance", + " Start → End: 9923.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10016.5 km", + "Step 4: Calculate detour", + " Detour = 10016.5 - 9923.0 = 93.6 km", + " Detour % = (93.6 / 9923.0) × 100 = 0.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.9% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 59.63937, + "lon": 33.52967, + "name": "Tikhvin" + }, + "end": { + "lat": 39.36389, + "lon": 117.06028, + "name": "Yangcun" + }, + "waypoint": { + "lat": 23.1959, + "lon": 86.51499, + "name": "Kenda" + }, + "question": "Is Kenda approximately on the direct path from Tikhvin to Yangcun?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5976.9, + "via_waypoint_km": 9139.5, + "detour_km": 3162.7, + "detour_percent": 52.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tikhvin", + " End: Yangcun", + " Waypoint: Kenda", + "Step 2: Calculate direct distance", + " Start → End: 5976.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9139.5 km", + "Step 4: Calculate detour", + " Detour = 9139.5 - 5976.9 = 3162.7 km", + " Detour % = (3162.7 / 5976.9) × 100 = 52.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 52.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 44.1494, + "lon": 43.47019, + "name": "Georgiyevsk" + }, + "end": { + "lat": 21.192, + "lon": -97.74088, + "name": "Cerro Azul" + }, + "waypoint": { + "lat": 43.63897, + "lon": -70.31533, + "name": "South Portland Gardens" + }, + "question": "Is South Portland Gardens approximately on the direct path from Georgiyevsk to Cerro Azul?", + "ground_truth": { + "answer": true, + "direct_distance_km": 11747.1, + "via_waypoint_km": 11811.5, + "detour_km": 64.4, + "detour_percent": 0.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Georgiyevsk", + " End: Cerro Azul", + " Waypoint: South Portland Gardens", + "Step 2: Calculate direct distance", + " Start → End: 11747.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11811.5 km", + "Step 4: Calculate detour", + " Detour = 11811.5 - 11747.1 = 64.4 km", + " Detour % = (64.4 / 11747.1) × 100 = 0.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.5% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.27093, + "lon": 43.37758, + "name": "Al-Hamdaniya" + }, + "end": { + "lat": 34.59845, + "lon": 119.21556, + "name": "Lianyungang" + }, + "waypoint": { + "lat": 13.21139, + "lon": 12.0241, + "name": "Maïné Soroa" + }, + "question": "Is Maïné Soroa approximately on the direct path from Al-Hamdaniya to Lianyungang?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6684.2, + "via_waypoint_km": 14732.2, + "detour_km": 8048.0, + "detour_percent": 120.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Al-Hamdaniya", + " End: Lianyungang", + " Waypoint: Maïné Soroa", + "Step 2: Calculate direct distance", + " Start → End: 6684.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14732.2 km", + "Step 4: Calculate detour", + " Detour = 14732.2 - 6684.2 = 8048.0 km", + " Detour % = (8048.0 / 6684.2) × 100 = 120.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 120.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -37.88413, + "lon": 144.78367, + "name": "Altona Meadows" + }, + "end": { + "lat": -21.2075, + "lon": -159.77546, + "name": "Avarua" + }, + "waypoint": { + "lat": 41.39593, + "lon": -72.89677, + "name": "Hamden" + }, + "question": "Is Hamden approximately on the direct path from Altona Meadows to Avarua?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5586.8, + "via_waypoint_km": 28088.4, + "detour_km": 22501.6, + "detour_percent": 402.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Altona Meadows", + " End: Avarua", + " Waypoint: Hamden", + "Step 2: Calculate direct distance", + " Start → End: 5586.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 28088.4 km", + "Step 4: Calculate detour", + " Detour = 28088.4 - 5586.8 = 22501.6 km", + " Detour % = (22501.6 / 5586.8) × 100 = 402.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 402.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 54.13503, + "lon": 10.61148, + "name": "Eutin" + }, + "end": { + "lat": 56.86014, + "lon": 24.36544, + "name": "Salaspils" + }, + "waypoint": { + "lat": 32.62639, + "lon": 116.99694, + "name": "Huainan" + }, + "question": "Is Huainan approximately on the direct path from Eutin to Salaspils?", + "ground_truth": { + "answer": false, + "direct_distance_km": 915.9, + "via_waypoint_km": 15254.9, + "detour_km": 14339.0, + "detour_percent": 1565.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Eutin", + " End: Salaspils", + " Waypoint: Huainan", + "Step 2: Calculate direct distance", + " Start → End: 915.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15254.9 km", + "Step 4: Calculate detour", + " Detour = 15254.9 - 915.9 = 14339.0 km", + " Detour % = (14339.0 / 915.9) × 100 = 1565.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1565.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 39.70056, + "lon": 125.89333, + "name": "Kaech’ŏn" + }, + "end": { + "lat": 41.37222, + "lon": 69.38167, + "name": "Salor" + }, + "waypoint": { + "lat": 22.97166, + "lon": 76.34667, + "name": "Sonkach" + }, + "question": "Is Sonkach approximately on the direct path from Kaech’ŏn to Salor?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4692.7, + "via_waypoint_km": 7134.0, + "detour_km": 2441.3, + "detour_percent": 52.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kaech’ŏn", + " End: Salor", + " Waypoint: Sonkach", + "Step 2: Calculate direct distance", + " Start → End: 4692.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 7134.0 km", + "Step 4: Calculate detour", + " Detour = 7134.0 - 4692.7 = 2441.3 km", + " Detour % = (2441.3 / 4692.7) × 100 = 52.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 52.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 6.55872, + "lon": 2.59063, + "name": "Missérété" + }, + "end": { + "lat": -29.53897, + "lon": 31.21439, + "name": "Ballitoville" + }, + "waypoint": { + "lat": 33.27709, + "lon": 130.10928, + "name": "Taku" + }, + "question": "Is Taku approximately on the direct path from Missérété to Ballitoville?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5046.2, + "via_waypoint_km": 25444.0, + "detour_km": 20397.8, + "detour_percent": 404.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Missérété", + " End: Ballitoville", + " Waypoint: Taku", + "Step 2: Calculate direct distance", + " Start → End: 5046.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25444.0 km", + "Step 4: Calculate detour", + " Detour = 25444.0 - 5046.2 = 20397.8 km", + " Detour % = (20397.8 / 5046.2) × 100 = 404.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 404.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 9.90371, + "lon": -83.68361, + "name": "Turrialba" + }, + "end": { + "lat": 14.76667, + "lon": -16.7, + "name": "Kbombole" + }, + "waypoint": { + "lat": -36.9682, + "lon": 174.84019, + "name": "Papatoetoe" + }, + "question": "Is Papatoetoe approximately on the direct path from Turrialba to Kbombole?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7272.1, + "via_waypoint_km": 28978.6, + "detour_km": 21706.4, + "detour_percent": 298.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Turrialba", + " End: Kbombole", + " Waypoint: Papatoetoe", + "Step 2: Calculate direct distance", + " Start → End: 7272.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 28978.6 km", + "Step 4: Calculate detour", + " Detour = 28978.6 - 7272.1 = 21706.4 km", + " Detour % = (21706.4 / 7272.1) × 100 = 298.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 298.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 6.56487, + "lon": -7.42735, + "name": "Goya" + }, + "end": { + "lat": 50.80434, + "lon": 6.49299, + "name": "Düren" + }, + "waypoint": { + "lat": 29.8931, + "lon": 91.26166, + "name": "Lhünzhub" + }, + "question": "Is Lhünzhub approximately on the direct path from Goya to Düren?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5085.4, + "via_waypoint_km": 17605.8, + "detour_km": 12520.4, + "detour_percent": 246.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Goya", + " End: Düren", + " Waypoint: Lhünzhub", + "Step 2: Calculate direct distance", + " Start → End: 5085.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17605.8 km", + "Step 4: Calculate detour", + " Detour = 17605.8 - 5085.4 = 12520.4 km", + " Detour % = (12520.4 / 5085.4) × 100 = 246.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 246.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 14.62056, + "lon": 120.58167, + "name": "Orion" + }, + "end": { + "lat": 16.74799, + "lon": 77.4954, + "name": "Nārāyanpet" + }, + "waypoint": { + "lat": 18.47186, + "lon": -69.89232, + "name": "Santo Domingo" + }, + "question": "Is Santo Domingo approximately on the direct path from Orion to Nārāyanpet?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4610.0, + "via_waypoint_km": 30878.0, + "detour_km": 26268.1, + "detour_percent": 569.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Orion", + " End: Nārāyanpet", + " Waypoint: Santo Domingo", + "Step 2: Calculate direct distance", + " Start → End: 4610.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 30878.0 km", + "Step 4: Calculate detour", + " Detour = 30878.0 - 4610.0 = 26268.1 km", + " Detour % = (26268.1 / 4610.0) × 100 = 569.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 569.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.91722, + "lon": -0.65802, + "name": "Leighton Buzzard" + }, + "end": { + "lat": 43.51345, + "lon": 4.98747, + "name": "Istres" + }, + "waypoint": { + "lat": 37.05, + "lon": 35.23333, + "name": "Kireçocağı" + }, + "question": "Is Kireçocağı approximately on the direct path from Leighton Buzzard to Istres?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1024.7, + "via_waypoint_km": 5893.3, + "detour_km": 4868.6, + "detour_percent": 475.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Leighton Buzzard", + " End: Istres", + " Waypoint: Kireçocağı", + "Step 2: Calculate direct distance", + " Start → End: 1024.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 5893.3 km", + "Step 4: Calculate detour", + " Detour = 5893.3 - 1024.7 = 4868.6 km", + " Detour % = (4868.6 / 1024.7) × 100 = 475.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 475.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -31.43084, + "lon": 152.90894, + "name": "Port Macquarie" + }, + "end": { + "lat": 36.70048, + "lon": 10.1685, + "name": "Fouchana" + }, + "waypoint": { + "lat": 41.31137, + "lon": -105.5911, + "name": "Laramie" + }, + "question": "Is Laramie approximately on the direct path from Port Macquarie to Fouchana?", + "ground_truth": { + "answer": false, + "direct_distance_km": 16555.4, + "via_waypoint_km": 22298.4, + "detour_km": 5743.0, + "detour_percent": 34.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Port Macquarie", + " End: Fouchana", + " Waypoint: Laramie", + "Step 2: Calculate direct distance", + " Start → End: 16555.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22298.4 km", + "Step 4: Calculate detour", + " Detour = 22298.4 - 16555.4 = 5743.0 km", + " Detour % = (5743.0 / 16555.4) × 100 = 34.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 34.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 18.40116, + "lon": -93.21406, + "name": "Paraiso" + }, + "end": { + "lat": 38.87428, + "lon": -77.22693, + "name": "Merrifield" + }, + "waypoint": { + "lat": 33.52253, + "lon": -117.70755, + "name": "Laguna Niguel" + }, + "question": "Is Laguna Niguel approximately on the direct path from Paraiso to Merrifield?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2750.2, + "via_waypoint_km": 6607.9, + "detour_km": 3857.7, + "detour_percent": 140.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Paraiso", + " End: Merrifield", + " Waypoint: Laguna Niguel", + "Step 2: Calculate direct distance", + " Start → End: 2750.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 6607.9 km", + "Step 4: Calculate detour", + " Detour = 6607.9 - 2750.2 = 3857.7 km", + " Detour % = (3857.7 / 2750.2) × 100 = 140.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 140.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -22.63417, + "lon": -54.82222, + "name": "Caarapó" + }, + "end": { + "lat": -2.62139, + "lon": -60.94417, + "name": "Novo Airão" + }, + "waypoint": { + "lat": 14.62222, + "lon": -90.84314, + "name": "San Andrés Itzapa" + }, + "question": "Is San Andrés Itzapa approximately on the direct path from Caarapó to Novo Airão?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2321.2, + "via_waypoint_km": 9515.4, + "detour_km": 7194.1, + "detour_percent": 309.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Caarapó", + " End: Novo Airão", + " Waypoint: San Andrés Itzapa", + "Step 2: Calculate direct distance", + " Start → End: 2321.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9515.4 km", + "Step 4: Calculate detour", + " Detour = 9515.4 - 2321.2 = 7194.1 km", + " Detour % = (7194.1 / 2321.2) × 100 = 309.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 309.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 42.50648, + "lon": -71.07283, + "name": "Wakefield" + }, + "end": { + "lat": 36.36417, + "lon": 119.07694, + "name": "Linghe" + }, + "waypoint": { + "lat": -2.4045, + "lon": 29.1606, + "name": "Rangiro" + }, + "question": "Is Rangiro approximately on the direct path from Wakefield to Linghe?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11184.8, + "via_waypoint_km": 21184.7, + "detour_km": 9999.9, + "detour_percent": 89.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Wakefield", + " End: Linghe", + " Waypoint: Rangiro", + "Step 2: Calculate direct distance", + " Start → End: 11184.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21184.7 km", + "Step 4: Calculate detour", + " Detour = 21184.7 - 11184.8 = 9999.9 km", + " Detour % = (9999.9 / 11184.8) × 100 = 89.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 89.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -1.93417, + "lon": -47.0525, + "name": "Garrafão do Norte" + }, + "end": { + "lat": 51.46246, + "lon": 0.10759, + "name": "Welling" + }, + "waypoint": { + "lat": -28.872, + "lon": 27.87506, + "name": "Ficksburg" + }, + "question": "Is Ficksburg approximately on the direct path from Garrafão do Norte to Welling?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7406.7, + "via_waypoint_km": 17774.8, + "detour_km": 10368.1, + "detour_percent": 140.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Garrafão do Norte", + " End: Welling", + " Waypoint: Ficksburg", + "Step 2: Calculate direct distance", + " Start → End: 7406.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17774.8 km", + "Step 4: Calculate detour", + " Detour = 17774.8 - 7406.7 = 10368.1 km", + " Detour % = (10368.1 / 7406.7) × 100 = 140.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 140.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 44.41044, + "lon": 43.88007, + "name": "Zelenokumsk" + }, + "end": { + "lat": 30.9522, + "lon": 20.12022, + "name": "Az Zuwaytīnah" + }, + "waypoint": { + "lat": -41.21667, + "lon": 174.91667, + "name": "Lower Hutt" + }, + "question": "Is Lower Hutt approximately on the direct path from Zelenokumsk to Az Zuwaytīnah?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2555.7, + "via_waypoint_km": 33556.9, + "detour_km": 31001.2, + "detour_percent": 1213.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Zelenokumsk", + " End: Az Zuwaytīnah", + " Waypoint: Lower Hutt", + "Step 2: Calculate direct distance", + " Start → End: 2555.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 33556.9 km", + "Step 4: Calculate detour", + " Detour = 33556.9 - 2555.7 = 31001.2 km", + " Detour % = (31001.2 / 2555.7) × 100 = 1213.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1213.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 18.34282, + "lon": 105.90569, + "name": "Hà Tĩnh" + }, + "end": { + "lat": -1.9275, + "lon": 18.2881, + "name": "Inongo" + }, + "waypoint": { + "lat": 40.65538, + "lon": -74.38987, + "name": "Scotch Plains" + }, + "question": "Is Scotch Plains approximately on the direct path from Hà Tĩnh to Inongo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9823.7, + "via_waypoint_km": 23827.8, + "detour_km": 14004.0, + "detour_percent": 142.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Hà Tĩnh", + " End: Inongo", + " Waypoint: Scotch Plains", + "Step 2: Calculate direct distance", + " Start → End: 9823.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23827.8 km", + "Step 4: Calculate detour", + " Detour = 23827.8 - 9823.7 = 14004.0 km", + " Detour % = (14004.0 / 9823.7) × 100 = 142.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 142.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 30.6713, + "lon": 31.58801, + "name": "Hihyā" + }, + "end": { + "lat": 48.44278, + "lon": 27.79975, + "name": "Mohyliv-Podilskyy" + }, + "waypoint": { + "lat": 51.19021, + "lon": 4.43264, + "name": "Berchem" + }, + "question": "Is Berchem approximately on the direct path from Hihyā to Mohyliv-Podilskyy?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2002.0, + "via_waypoint_km": 4888.0, + "detour_km": 2886.1, + "detour_percent": 144.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Hihyā", + " End: Mohyliv-Podilskyy", + " Waypoint: Berchem", + "Step 2: Calculate direct distance", + " Start → End: 2002.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 4888.0 km", + "Step 4: Calculate detour", + " Detour = 4888.0 - 2002.0 = 2886.1 km", + " Detour % = (2886.1 / 2002.0) × 100 = 144.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 144.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 15.10582, + "lon": 37.59067, + "name": "Barentu" + }, + "end": { + "lat": -4.76667, + "lon": 12.55, + "name": "Buco Zau" + }, + "waypoint": { + "lat": 48.67882, + "lon": 26.58516, + "name": "Kamianets-Podilskyi" + }, + "question": "Is Kamianets-Podilskyi approximately on the direct path from Barentu to Buco Zau?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3534.5, + "via_waypoint_km": 9963.4, + "detour_km": 6429.0, + "detour_percent": 181.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Barentu", + " End: Buco Zau", + " Waypoint: Kamianets-Podilskyi", + "Step 2: Calculate direct distance", + " Start → End: 3534.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9963.4 km", + "Step 4: Calculate detour", + " Detour = 9963.4 - 3534.5 = 6429.0 km", + " Detour % = (6429.0 / 3534.5) × 100 = 181.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 181.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 54.76906, + "lon": 11.87425, + "name": "Nykøbing Falster" + }, + "end": { + "lat": 50.33394, + "lon": 19.20479, + "name": "Dąbrowa Górnicza" + }, + "waypoint": { + "lat": 17.62557, + "lon": 100.09421, + "name": "Uttaradit" + }, + "question": "Is Uttaradit approximately on the direct path from Nykøbing Falster to Dąbrowa Górnicza?", + "ground_truth": { + "answer": false, + "direct_distance_km": 698.5, + "via_waypoint_km": 16171.6, + "detour_km": 15473.1, + "detour_percent": 2215.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Nykøbing Falster", + " End: Dąbrowa Górnicza", + " Waypoint: Uttaradit", + "Step 2: Calculate direct distance", + " Start → End: 698.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16171.6 km", + "Step 4: Calculate detour", + " Detour = 16171.6 - 698.5 = 15473.1 km", + " Detour % = (15473.1 / 698.5) × 100 = 2215.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2215.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 9.51272, + "lon": 77.63369, + "name": "Srivilliputhur" + }, + "end": { + "lat": -19.35278, + "lon": -47.29278, + "name": "Perdizes" + }, + "waypoint": { + "lat": 14.74521, + "lon": -17.13783, + "name": "Sébikhotane" + }, + "question": "Is Sébikhotane approximately on the direct path from Srivilliputhur to Perdizes?", + "ground_truth": { + "answer": true, + "direct_distance_km": 14008.4, + "via_waypoint_km": 15271.4, + "detour_km": 1262.9, + "detour_percent": 9.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Srivilliputhur", + " End: Perdizes", + " Waypoint: Sébikhotane", + "Step 2: Calculate direct distance", + " Start → End: 14008.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15271.4 km", + "Step 4: Calculate detour", + " Detour = 15271.4 - 14008.4 = 1262.9 km", + " Detour % = (1262.9 / 14008.4) × 100 = 9.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 9.0% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -28.6775, + "lon": -49.36972, + "name": "Criciúma" + }, + "end": { + "lat": 25.60293, + "lon": 84.40412, + "name": "Shāhpur" + }, + "waypoint": { + "lat": 36.06386, + "lon": 4.62744, + "name": "El Achir" + }, + "question": "Is El Achir approximately on the direct path from Criciúma to Shāhpur?", + "ground_truth": { + "answer": true, + "direct_distance_km": 15456.3, + "via_waypoint_km": 16646.9, + "detour_km": 1190.6, + "detour_percent": 7.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Criciúma", + " End: Shāhpur", + " Waypoint: El Achir", + "Step 2: Calculate direct distance", + " Start → End: 15456.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16646.9 km", + "Step 4: Calculate detour", + " Detour = 16646.9 - 15456.3 = 1190.6 km", + " Detour % = (1190.6 / 15456.3) × 100 = 7.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 7.7% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 23.7486, + "lon": 86.78477, + "name": "Siuliban" + }, + "end": { + "lat": 19.67386, + "lon": 77.31149, + "name": "Kalamnūri" + }, + "waypoint": { + "lat": 48.5126, + "lon": -122.61267, + "name": "Anacortes" + }, + "question": "Is Anacortes approximately on the direct path from Siuliban to Kalamnūri?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1078.0, + "via_waypoint_km": 23642.7, + "detour_km": 22564.7, + "detour_percent": 2093.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Siuliban", + " End: Kalamnūri", + " Waypoint: Anacortes", + "Step 2: Calculate direct distance", + " Start → End: 1078.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23642.7 km", + "Step 4: Calculate detour", + " Detour = 23642.7 - 1078.0 = 22564.7 km", + " Detour % = (22564.7 / 1078.0) × 100 = 2093.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2093.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 38.37906, + "lon": -4.84827, + "name": "Pozoblanco" + }, + "end": { + "lat": -41.31667, + "lon": 173.23333, + "name": "Stoke" + }, + "waypoint": { + "lat": 41.23756, + "lon": -80.81842, + "name": "Warren" + }, + "question": "Is Warren approximately on the direct path from Pozoblanco to Stoke?", + "ground_truth": { + "answer": true, + "direct_distance_km": 19649.7, + "via_waypoint_km": 20311.9, + "detour_km": 662.1, + "detour_percent": 3.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Pozoblanco", + " End: Stoke", + " Waypoint: Warren", + "Step 2: Calculate direct distance", + " Start → End: 19649.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20311.9 km", + "Step 4: Calculate detour", + " Detour = 20311.9 - 19649.7 = 662.1 km", + " Detour % = (662.1 / 19649.7) × 100 = 3.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 3.4% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 41.15059, + "lon": -8.64845, + "name": "Lordelo do Ouro" + }, + "end": { + "lat": 35.70307, + "lon": 139.70436, + "name": "Ōkubo" + }, + "waypoint": { + "lat": -29.79145, + "lon": -58.0499, + "name": "Curuzú Cuatiá" + }, + "question": "Is Curuzú Cuatiá approximately on the direct path from Lordelo do Ouro to Ōkubo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10880.0, + "via_waypoint_km": 27612.9, + "detour_km": 16732.9, + "detour_percent": 153.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Lordelo do Ouro", + " End: Ōkubo", + " Waypoint: Curuzú Cuatiá", + "Step 2: Calculate direct distance", + " Start → End: 10880.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27612.9 km", + "Step 4: Calculate detour", + " Detour = 27612.9 - 10880.0 = 16732.9 km", + " Detour % = (16732.9 / 10880.0) × 100 = 153.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 153.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -20.2215, + "lon": 57.53431, + "name": "Saint Pierre" + }, + "end": { + "lat": 26.2452, + "lon": 91.52525, + "name": "Hājo" + }, + "waypoint": { + "lat": 13.72319, + "lon": 100.476, + "name": "Bangkok Yai" + }, + "question": "Is Bangkok Yai approximately on the direct path from Saint Pierre to Hājo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6335.6, + "via_waypoint_km": 7699.8, + "detour_km": 1364.2, + "detour_percent": 21.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Saint Pierre", + " End: Hājo", + " Waypoint: Bangkok Yai", + "Step 2: Calculate direct distance", + " Start → End: 6335.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 7699.8 km", + "Step 4: Calculate detour", + " Detour = 7699.8 - 6335.6 = 1364.2 km", + " Detour % = (1364.2 / 6335.6) × 100 = 21.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 21.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 21.19594, + "lon": 72.83023, + "name": "Surat" + }, + "end": { + "lat": 23.57769, + "lon": 58.39982, + "name": "Bawshar" + }, + "waypoint": { + "lat": -12.26667, + "lon": -38.96667, + "name": "Feira de Santana" + }, + "question": "Is Feira de Santana approximately on the direct path from Surat to Bawshar?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1506.4, + "via_waypoint_km": 24023.9, + "detour_km": 22517.5, + "detour_percent": 1494.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Surat", + " End: Bawshar", + " Waypoint: Feira de Santana", + "Step 2: Calculate direct distance", + " Start → End: 1506.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24023.9 km", + "Step 4: Calculate detour", + " Detour = 24023.9 - 1506.4 = 22517.5 km", + " Detour % = (22517.5 / 1506.4) × 100 = 1494.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1494.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -7.49333, + "lon": -38.98722, + "name": "Brejo Santo" + }, + "end": { + "lat": -9.16278, + "lon": -36.03194, + "name": "União dos Palmares" + }, + "waypoint": { + "lat": -7.55611, + "lon": 110.83167, + "name": "Surakarta" + }, + "question": "Is Surakarta approximately on the direct path from Brejo Santo to União dos Palmares?", + "ground_truth": { + "answer": false, + "direct_distance_km": 374.4, + "via_waypoint_km": 32173.9, + "detour_km": 31799.5, + "detour_percent": 8493.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Brejo Santo", + " End: União dos Palmares", + " Waypoint: Surakarta", + "Step 2: Calculate direct distance", + " Start → End: 374.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 32173.9 km", + "Step 4: Calculate detour", + " Detour = 32173.9 - 374.4 = 31799.5 km", + " Detour % = (31799.5 / 374.4) × 100 = 8493.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 8493.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 43.54035, + "lon": -5.68233, + "name": "Natahoyo" + }, + "end": { + "lat": 42.795, + "lon": -8.548, + "name": "Teo" + }, + "waypoint": { + "lat": 33.62205, + "lon": -84.36909, + "name": "Forest Park" + }, + "question": "Is Forest Park approximately on the direct path from Natahoyo to Teo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 246.7, + "via_waypoint_km": 13152.6, + "detour_km": 12905.9, + "detour_percent": 5230.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Natahoyo", + " End: Teo", + " Waypoint: Forest Park", + "Step 2: Calculate direct distance", + " Start → End: 246.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13152.6 km", + "Step 4: Calculate detour", + " Detour = 13152.6 - 246.7 = 12905.9 km", + " Detour % = (12905.9 / 246.7) × 100 = 5230.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 5230.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 14.13333, + "lon": 25.55, + "name": "Mellit" + }, + "end": { + "lat": 43.16547, + "lon": -77.70066, + "name": "Gates-North Gates" + }, + "waypoint": { + "lat": 51.75368, + "lon": -0.44975, + "name": "Hemel Hempstead" + }, + "question": "Is Hemel Hempstead approximately on the direct path from Mellit to Gates-North Gates?", + "ground_truth": { + "answer": true, + "direct_distance_km": 9976.2, + "via_waypoint_km": 10390.2, + "detour_km": 414.0, + "detour_percent": 4.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mellit", + " End: Gates-North Gates", + " Waypoint: Hemel Hempstead", + "Step 2: Calculate direct distance", + " Start → End: 9976.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10390.2 km", + "Step 4: Calculate detour", + " Detour = 10390.2 - 9976.2 = 414.0 km", + " Detour % = (414.0 / 9976.2) × 100 = 4.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 4.1% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 13.62793, + "lon": 25.34936, + "name": "El Fasher" + }, + "end": { + "lat": 43.18725, + "lon": -2.50261, + "name": "Ermua" + }, + "waypoint": { + "lat": 38.19394, + "lon": 15.55256, + "name": "Messina" + }, + "question": "Is Messina approximately on the direct path from El Fasher to Ermua?", + "ground_truth": { + "answer": true, + "direct_distance_km": 4228.0, + "via_waypoint_km": 4514.0, + "detour_km": 286.0, + "detour_percent": 6.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: El Fasher", + " End: Ermua", + " Waypoint: Messina", + "Step 2: Calculate direct distance", + " Start → End: 4228.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 4514.0 km", + "Step 4: Calculate detour", + " Detour = 4514.0 - 4228.0 = 286.0 km", + " Detour % = (286.0 / 4228.0) × 100 = 6.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 6.8% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -21.60333, + "lon": -48.36583, + "name": "Matão" + }, + "end": { + "lat": 7.55122, + "lon": 6.23589, + "name": "Okene" + }, + "waypoint": { + "lat": -33.73333, + "lon": 151.0, + "name": "Castle Hill" + }, + "question": "Is Castle Hill approximately on the direct path from Matão to Okene?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6777.8, + "via_waypoint_km": 28904.4, + "detour_km": 22126.7, + "detour_percent": 326.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Matão", + " End: Okene", + " Waypoint: Castle Hill", + "Step 2: Calculate direct distance", + " Start → End: 6777.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 28904.4 km", + "Step 4: Calculate detour", + " Detour = 28904.4 - 6777.8 = 22126.7 km", + " Detour % = (22126.7 / 6777.8) × 100 = 326.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 326.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.24827, + "lon": -8.41549, + "name": "Eiras" + }, + "end": { + "lat": 56.11254, + "lon": 69.48722, + "name": "Ishim" + }, + "waypoint": { + "lat": 3.13333, + "lon": 101.38333, + "name": "Kapar" + }, + "question": "Is Kapar approximately on the direct path from Eiras to Ishim?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5701.9, + "via_waypoint_km": 17977.3, + "detour_km": 12275.4, + "detour_percent": 215.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Eiras", + " End: Ishim", + " Waypoint: Kapar", + "Step 2: Calculate direct distance", + " Start → End: 5701.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17977.3 km", + "Step 4: Calculate detour", + " Detour = 17977.3 - 5701.9 = 12275.4 km", + " Detour % = (12275.4 / 5701.9) × 100 = 215.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 215.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.60999, + "lon": 114.48764, + "name": "Handan" + }, + "end": { + "lat": 55.58635, + "lon": 37.67781, + "name": "Biryulëvo" + }, + "waypoint": { + "lat": -3.49194, + "lon": 31.96389, + "name": "Ushirombo" + }, + "question": "Is Ushirombo approximately on the direct path from Handan to Biryulëvo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5943.5, + "via_waypoint_km": 16164.4, + "detour_km": 10220.9, + "detour_percent": 172.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Handan", + " End: Biryulëvo", + " Waypoint: Ushirombo", + "Step 2: Calculate direct distance", + " Start → End: 5943.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16164.4 km", + "Step 4: Calculate detour", + " Detour = 16164.4 - 5943.5 = 10220.9 km", + " Detour % = (10220.9 / 5943.5) × 100 = 172.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 172.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 21.53889, + "lon": 71.57737, + "name": "Gariadhar" + }, + "end": { + "lat": 18.88188, + "lon": -99.06715, + "name": "Yautepec" + }, + "waypoint": { + "lat": 45.36029, + "lon": 23.23832, + "name": "Lupeni" + }, + "question": "Is Lupeni approximately on the direct path from Gariadhar to Yautepec?", + "ground_truth": { + "answer": true, + "direct_distance_km": 15406.7, + "via_waypoint_km": 15912.2, + "detour_km": 505.6, + "detour_percent": 3.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Gariadhar", + " End: Yautepec", + " Waypoint: Lupeni", + "Step 2: Calculate direct distance", + " Start → End: 15406.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15912.2 km", + "Step 4: Calculate detour", + " Detour = 15912.2 - 15406.7 = 505.6 km", + " Detour % = (505.6 / 15406.7) × 100 = 3.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 3.3% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 30.59019, + "lon": -88.17084, + "name": "Tillmans Corner" + }, + "end": { + "lat": 38.93206, + "lon": -77.02359, + "name": "Park View" + }, + "waypoint": { + "lat": 52.13833, + "lon": 6.20139, + "name": "Zutphen" + }, + "question": "Is Zutphen approximately on the direct path from Tillmans Corner to Park View?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1375.4, + "via_waypoint_km": 13929.8, + "detour_km": 12554.4, + "detour_percent": 912.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tillmans Corner", + " End: Park View", + " Waypoint: Zutphen", + "Step 2: Calculate direct distance", + " Start → End: 1375.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13929.8 km", + "Step 4: Calculate detour", + " Detour = 13929.8 - 1375.4 = 12554.4 km", + " Detour % = (12554.4 / 1375.4) × 100 = 912.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 912.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -13.06667, + "lon": 22.68333, + "name": "Chavuma" + }, + "end": { + "lat": 21.046, + "lon": 106.079, + "name": "Thuận Thanh" + }, + "waypoint": { + "lat": 13.67741, + "lon": -89.28335, + "name": "Santa Tecla" + }, + "question": "Is Santa Tecla approximately on the direct path from Chavuma to Thuận Thanh?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9858.6, + "via_waypoint_km": 28486.8, + "detour_km": 18628.2, + "detour_percent": 189.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Chavuma", + " End: Thuận Thanh", + " Waypoint: Santa Tecla", + "Step 2: Calculate direct distance", + " Start → End: 9858.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 28486.8 km", + "Step 4: Calculate detour", + " Detour = 28486.8 - 9858.6 = 18628.2 km", + " Detour % = (18628.2 / 9858.6) × 100 = 189.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 189.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.03687, + "lon": 6.57219, + "name": "Aïn M’Lila" + }, + "end": { + "lat": 24.7031, + "lon": 98.57007, + "name": "Puchuan" + }, + "waypoint": { + "lat": 61.31226, + "lon": 63.33067, + "name": "Yugorsk" + }, + "question": "Is Yugorsk approximately on the direct path from Aïn M’Lila to Puchuan?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8592.7, + "via_waypoint_km": 9665.2, + "detour_km": 1072.5, + "detour_percent": 12.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Aïn M’Lila", + " End: Puchuan", + " Waypoint: Yugorsk", + "Step 2: Calculate direct distance", + " Start → End: 8592.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9665.2 km", + "Step 4: Calculate detour", + " Detour = 9665.2 - 8592.7 = 1072.5 km", + " Detour % = (1072.5 / 8592.7) × 100 = 12.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 12.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 50.02806, + "lon": 15.1998, + "name": "Kolín" + }, + "end": { + "lat": -3.89083, + "lon": -38.68556, + "name": "Maranguape" + }, + "waypoint": { + "lat": 6.76972, + "lon": 47.43083, + "name": "Gaalkacyo" + }, + "question": "Is Gaalkacyo approximately on the direct path from Kolín to Maranguape?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7893.5, + "via_waypoint_km": 15296.4, + "detour_km": 7402.9, + "detour_percent": 93.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kolín", + " End: Maranguape", + " Waypoint: Gaalkacyo", + "Step 2: Calculate direct distance", + " Start → End: 7893.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15296.4 km", + "Step 4: Calculate detour", + " Detour = 15296.4 - 7893.5 = 7402.9 km", + " Detour % = (7402.9 / 7893.5) × 100 = 93.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 93.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 33.29622, + "lon": -86.8436, + "name": "Helena" + }, + "end": { + "lat": 50.06708, + "lon": 14.36328, + "name": "Košíře" + }, + "waypoint": { + "lat": 8.83726, + "lon": 76.64505, + "name": "Mayyanād" + }, + "question": "Is Mayyanād approximately on the direct path from Helena to Košíře?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7954.7, + "via_waypoint_km": 22311.5, + "detour_km": 14356.8, + "detour_percent": 180.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Helena", + " End: Košíře", + " Waypoint: Mayyanād", + "Step 2: Calculate direct distance", + " Start → End: 7954.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22311.5 km", + "Step 4: Calculate detour", + " Detour = 22311.5 - 7954.7 = 14356.8 km", + " Detour % = (14356.8 / 7954.7) × 100 = 180.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 180.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -17.78833, + "lon": 15.70436, + "name": "Oshakati" + }, + "end": { + "lat": 37.54, + "lon": 127.20556, + "name": "Hanam" + }, + "waypoint": { + "lat": -23.28333, + "lon": -47.67222, + "name": "Boituva" + }, + "question": "Is Boituva approximately on the direct path from Oshakati to Hanam?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13073.5, + "via_waypoint_km": 24934.0, + "detour_km": 11860.5, + "detour_percent": 90.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Oshakati", + " End: Hanam", + " Waypoint: Boituva", + "Step 2: Calculate direct distance", + " Start → End: 13073.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24934.0 km", + "Step 4: Calculate detour", + " Detour = 24934.0 - 13073.5 = 11860.5 km", + " Detour % = (11860.5 / 13073.5) × 100 = 90.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 90.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 47.40177, + "lon": -122.32429, + "name": "Des Moines" + }, + "end": { + "lat": 23.35219, + "lon": 80.9806, + "name": "Nowrozabad" + }, + "waypoint": { + "lat": 37.04045, + "lon": 9.66557, + "name": "Mateur" + }, + "question": "Is Mateur approximately on the direct path from Des Moines to Nowrozabad?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11808.5, + "via_waypoint_km": 16349.3, + "detour_km": 4540.9, + "detour_percent": 38.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Des Moines", + " End: Nowrozabad", + " Waypoint: Mateur", + "Step 2: Calculate direct distance", + " Start → End: 11808.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16349.3 km", + "Step 4: Calculate detour", + " Detour = 16349.3 - 11808.5 = 4540.9 km", + " Detour % = (4540.9 / 11808.5) × 100 = 38.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 38.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 34.05779, + "lon": -118.30091, + "name": "Koreatown" + }, + "end": { + "lat": 40.19559, + "lon": 29.06013, + "name": "Bursa" + }, + "waypoint": { + "lat": 15.33021, + "lon": 35.59854, + "name": "New Halfa" + }, + "question": "Is New Halfa approximately on the direct path from Koreatown to Bursa?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11105.3, + "via_waypoint_km": 16704.0, + "detour_km": 5598.7, + "detour_percent": 50.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Koreatown", + " End: Bursa", + " Waypoint: New Halfa", + "Step 2: Calculate direct distance", + " Start → End: 11105.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16704.0 km", + "Step 4: Calculate detour", + " Detour = 16704.0 - 11105.3 = 5598.7 km", + " Detour % = (5598.7 / 11105.3) × 100 = 50.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 50.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 14.79808, + "lon": 100.65397, + "name": "Lop Buri" + }, + "end": { + "lat": -37.81667, + "lon": 144.75, + "name": "Truganina" + }, + "waypoint": { + "lat": 52.47133, + "lon": 13.32813, + "name": "Friedenau" + }, + "question": "Is Friedenau approximately on the direct path from Lop Buri to Truganina?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7441.8, + "via_waypoint_km": 24493.4, + "detour_km": 17051.6, + "detour_percent": 229.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Lop Buri", + " End: Truganina", + " Waypoint: Friedenau", + "Step 2: Calculate direct distance", + " Start → End: 7441.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24493.4 km", + "Step 4: Calculate detour", + " Detour = 24493.4 - 7441.8 = 17051.6 km", + " Detour % = (17051.6 / 7441.8) × 100 = 229.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 229.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 10.38542, + "lon": -9.30568, + "name": "Kankan" + }, + "end": { + "lat": 11.58901, + "lon": 43.14503, + "name": "Djibouti" + }, + "waypoint": { + "lat": 51.15432, + "lon": 3.23128, + "name": "Oostkamp" + }, + "question": "Is Oostkamp approximately on the direct path from Kankan to Djibouti?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5718.9, + "via_waypoint_km": 10358.9, + "detour_km": 4640.0, + "detour_percent": 81.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kankan", + " End: Djibouti", + " Waypoint: Oostkamp", + "Step 2: Calculate direct distance", + " Start → End: 5718.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10358.9 km", + "Step 4: Calculate detour", + " Detour = 10358.9 - 5718.9 = 4640.0 km", + " Detour % = (4640.0 / 5718.9) × 100 = 81.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 81.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.87676, + "lon": -73.32456, + "name": "East Northport" + }, + "end": { + "lat": 43.64455, + "lon": -79.40712, + "name": "Niagara" + }, + "waypoint": { + "lat": -39.06667, + "lon": 174.08333, + "name": "New Plymouth" + }, + "question": "Is New Plymouth approximately on the direct path from East Northport to Niagara?", + "ground_truth": { + "answer": false, + "direct_distance_km": 587.4, + "via_waypoint_km": 28480.0, + "detour_km": 27892.6, + "detour_percent": 4748.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: East Northport", + " End: Niagara", + " Waypoint: New Plymouth", + "Step 2: Calculate direct distance", + " Start → End: 587.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 28480.0 km", + "Step 4: Calculate detour", + " Detour = 28480.0 - 587.4 = 27892.6 km", + " Detour % = (27892.6 / 587.4) × 100 = 4748.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 4748.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -37.57742, + "lon": 144.72607, + "name": "Sunbury" + }, + "end": { + "lat": 40.34201, + "lon": 46.93161, + "name": "Terter" + }, + "waypoint": { + "lat": 42.60559, + "lon": -83.14993, + "name": "Troy" + }, + "question": "Is Troy approximately on the direct path from Sunbury to Terter?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13173.3, + "via_waypoint_km": 25475.3, + "detour_km": 12302.1, + "detour_percent": 93.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sunbury", + " End: Terter", + " Waypoint: Troy", + "Step 2: Calculate direct distance", + " Start → End: 13173.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25475.3 km", + "Step 4: Calculate detour", + " Detour = 25475.3 - 13173.3 = 12302.1 km", + " Detour % = (12302.1 / 13173.3) × 100 = 93.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 93.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.16158, + "lon": 13.4737, + "name": "Meissen" + }, + "end": { + "lat": 36.1679, + "lon": 54.34292, + "name": "Dāmghān" + }, + "waypoint": { + "lat": 19.15096, + "lon": 72.99625, + "name": "Airoli" + }, + "question": "Is Airoli approximately on the direct path from Meissen to Dāmghān?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3624.1, + "via_waypoint_km": 8878.8, + "detour_km": 5254.8, + "detour_percent": 145.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Meissen", + " End: Dāmghān", + " Waypoint: Airoli", + "Step 2: Calculate direct distance", + " Start → End: 3624.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 8878.8 km", + "Step 4: Calculate detour", + " Detour = 8878.8 - 3624.1 = 5254.8 km", + " Detour % = (5254.8 / 3624.1) × 100 = 145.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 145.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 30.59683, + "lon": 30.89931, + "name": "Ash Shuhadā’" + }, + "end": { + "lat": 38.78928, + "lon": -77.1872, + "name": "Springfield" + }, + "waypoint": { + "lat": 48.75568, + "lon": 2.32241, + "name": "Fresnes" + }, + "question": "Is Fresnes approximately on the direct path from Ash Shuhadā’ to Springfield?", + "ground_truth": { + "answer": true, + "direct_distance_km": 9301.7, + "via_waypoint_km": 9324.2, + "detour_km": 22.6, + "detour_percent": 0.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ash Shuhadā’", + " End: Springfield", + " Waypoint: Fresnes", + "Step 2: Calculate direct distance", + " Start → End: 9301.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9324.2 km", + "Step 4: Calculate detour", + " Detour = 9324.2 - 9301.7 = 22.6 km", + " Detour % = (22.6 / 9301.7) × 100 = 0.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.2% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 24.97024, + "lon": 98.39368, + "name": "Hehua" + }, + "end": { + "lat": -33.8, + "lon": 151.18333, + "name": "Chatswood" + }, + "waypoint": { + "lat": -1.56652, + "lon": 13.1987, + "name": "Moanda" + }, + "question": "Is Moanda approximately on the direct path from Hehua to Chatswood?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8589.7, + "via_waypoint_km": 23720.0, + "detour_km": 15130.4, + "detour_percent": 176.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Hehua", + " End: Chatswood", + " Waypoint: Moanda", + "Step 2: Calculate direct distance", + " Start → End: 8589.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23720.0 km", + "Step 4: Calculate detour", + " Detour = 23720.0 - 8589.7 = 15130.4 km", + " Detour % = (15130.4 / 8589.7) × 100 = 176.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 176.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 49.225, + "lon": -123.0, + "name": "Metrotown" + }, + "end": { + "lat": 36.65306, + "lon": 6.83639, + "name": "El Arrouch" + }, + "waypoint": { + "lat": 27.67851, + "lon": 85.27574, + "name": "Ki̇̄rtipur" + }, + "question": "Is Ki̇̄rtipur approximately on the direct path from Metrotown to El Arrouch?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9264.1, + "via_waypoint_km": 18264.0, + "detour_km": 8999.9, + "detour_percent": 97.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Metrotown", + " End: El Arrouch", + " Waypoint: Ki̇̄rtipur", + "Step 2: Calculate direct distance", + " Start → End: 9264.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18264.0 km", + "Step 4: Calculate detour", + " Detour = 18264.0 - 9264.1 = 8999.9 km", + " Detour % = (8999.9 / 9264.1) × 100 = 97.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 97.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -34.03627, + "lon": 23.04713, + "name": "Knysna" + }, + "end": { + "lat": 3.15106, + "lon": 41.18577, + "name": "Lafey" + }, + "waypoint": { + "lat": 27.1629, + "lon": 81.54179, + "name": "Jarwal" + }, + "question": "Is Jarwal approximately on the direct path from Knysna to Lafey?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4550.9, + "via_waypoint_km": 14227.5, + "detour_km": 9676.6, + "detour_percent": 212.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Knysna", + " End: Lafey", + " Waypoint: Jarwal", + "Step 2: Calculate direct distance", + " Start → End: 4550.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14227.5 km", + "Step 4: Calculate detour", + " Detour = 14227.5 - 4550.9 = 9676.6 km", + " Detour % = (9676.6 / 4550.9) × 100 = 212.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 212.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 49.95109, + "lon": 15.79558, + "name": "Chrudim" + }, + "end": { + "lat": -30.29626, + "lon": 153.11351, + "name": "Coffs Harbour" + }, + "waypoint": { + "lat": -28.21298, + "lon": 153.53634, + "name": "Banora Point" + }, + "question": "Is Banora Point approximately on the direct path from Chrudim to Coffs Harbour?", + "ground_truth": { + "answer": true, + "direct_distance_km": 15858.1, + "via_waypoint_km": 15958.3, + "detour_km": 100.2, + "detour_percent": 0.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Chrudim", + " End: Coffs Harbour", + " Waypoint: Banora Point", + "Step 2: Calculate direct distance", + " Start → End: 15858.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15958.3 km", + "Step 4: Calculate detour", + " Detour = 15958.3 - 15858.1 = 100.2 km", + " Detour % = (100.2 / 15858.1) × 100 = 0.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.6% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 37.22764, + "lon": -80.01282, + "name": "Cave Spring" + }, + "end": { + "lat": 36.077, + "lon": -87.38779, + "name": "Dickson" + }, + "waypoint": { + "lat": 6.54233, + "lon": 21.98633, + "name": "Bria" + }, + "question": "Is Bria approximately on the direct path from Cave Spring to Dickson?", + "ground_truth": { + "answer": false, + "direct_distance_km": 670.0, + "via_waypoint_km": 21902.8, + "detour_km": 21232.7, + "detour_percent": 3168.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Cave Spring", + " End: Dickson", + " Waypoint: Bria", + "Step 2: Calculate direct distance", + " Start → End: 670.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21902.8 km", + "Step 4: Calculate detour", + " Detour = 21902.8 - 670.0 = 21232.7 km", + " Detour % = (21232.7 / 670.0) × 100 = 3168.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 3168.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 30.70862, + "lon": 74.40407, + "name": "Guru Har Sahāi" + }, + "end": { + "lat": 15.35452, + "lon": 44.20646, + "name": "Sanaa" + }, + "waypoint": { + "lat": 43.66352, + "lon": 7.1479, + "name": "Cagnes-sur-Mer" + }, + "question": "Is Cagnes-sur-Mer approximately on the direct path from Guru Har Sahāi to Sanaa?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3512.9, + "via_waypoint_km": 10667.8, + "detour_km": 7154.9, + "detour_percent": 203.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Guru Har Sahāi", + " End: Sanaa", + " Waypoint: Cagnes-sur-Mer", + "Step 2: Calculate direct distance", + " Start → End: 3512.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10667.8 km", + "Step 4: Calculate detour", + " Detour = 10667.8 - 3512.9 = 7154.9 km", + " Detour % = (7154.9 / 3512.9) × 100 = 203.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 203.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 41.64077, + "lon": 41.6306, + "name": "Batumi" + }, + "end": { + "lat": 34.74806, + "lon": 106.12694, + "name": "Yongqing" + }, + "waypoint": { + "lat": 45.47984, + "lon": -122.56731, + "name": "Lents" + }, + "question": "Is Lents approximately on the direct path from Batumi to Yongqing?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5557.0, + "via_waypoint_km": 20042.6, + "detour_km": 14485.6, + "detour_percent": 260.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Batumi", + " End: Yongqing", + " Waypoint: Lents", + "Step 2: Calculate direct distance", + " Start → End: 5557.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20042.6 km", + "Step 4: Calculate detour", + " Detour = 20042.6 - 5557.0 = 14485.6 km", + " Detour % = (14485.6 / 5557.0) × 100 = 260.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 260.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -28.21901, + "lon": 152.03438, + "name": "Warwick" + }, + "end": { + "lat": 5.7, + "lon": -55.23333, + "name": "Lelydorp" + }, + "waypoint": { + "lat": 10.43959, + "lon": 45.01432, + "name": "Berbera" + }, + "question": "Is Berbera approximately on the direct path from Warwick to Lelydorp?", + "ground_truth": { + "answer": false, + "direct_distance_km": 16203.6, + "via_waypoint_km": 23219.3, + "detour_km": 7015.7, + "detour_percent": 43.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Warwick", + " End: Lelydorp", + " Waypoint: Berbera", + "Step 2: Calculate direct distance", + " Start → End: 16203.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23219.3 km", + "Step 4: Calculate detour", + " Detour = 23219.3 - 16203.6 = 7015.7 km", + " Detour % = (7015.7 / 16203.6) × 100 = 43.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 43.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 33.62594, + "lon": -97.13335, + "name": "Gainesville" + }, + "end": { + "lat": 26.53333, + "lon": -78.7, + "name": "Freeport" + }, + "waypoint": { + "lat": -3.10139, + "lon": 30.16278, + "name": "Karuzi" + }, + "question": "Is Karuzi approximately on the direct path from Gainesville to Freeport?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1937.2, + "via_waypoint_km": 25630.4, + "detour_km": 23693.2, + "detour_percent": 1223.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Gainesville", + " End: Freeport", + " Waypoint: Karuzi", + "Step 2: Calculate direct distance", + " Start → End: 1937.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25630.4 km", + "Step 4: Calculate detour", + " Detour = 25630.4 - 1937.2 = 23693.2 km", + " Detour % = (23693.2 / 1937.2) × 100 = 1223.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1223.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -33.9125, + "lon": 151.10279, + "name": "Campsie" + }, + "end": { + "lat": 22.44123, + "lon": 114.06019, + "name": "Kam Tin" + }, + "waypoint": { + "lat": 27.05918, + "lon": 68.21022, + "name": "Kandiaro" + }, + "question": "Is Kandiaro approximately on the direct path from Campsie to Kam Tin?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7390.9, + "via_waypoint_km": 15680.2, + "detour_km": 8289.3, + "detour_percent": 112.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Campsie", + " End: Kam Tin", + " Waypoint: Kandiaro", + "Step 2: Calculate direct distance", + " Start → End: 7390.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15680.2 km", + "Step 4: Calculate detour", + " Detour = 15680.2 - 7390.9 = 8289.3 km", + " Detour % = (8289.3 / 7390.9) × 100 = 112.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 112.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -7.16177, + "lon": 23.70057, + "name": "Luputa" + }, + "end": { + "lat": 32.33725, + "lon": -6.34983, + "name": "Beni Mellal" + }, + "waypoint": { + "lat": 8.95457, + "lon": 76.6185, + "name": "Panayāttur Vadakkumbhāgam" + }, + "question": "Is Panayāttur Vadakkumbhāgam approximately on the direct path from Luputa to Beni Mellal?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5424.1, + "via_waypoint_km": 14950.7, + "detour_km": 9526.6, + "detour_percent": 175.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Luputa", + " End: Beni Mellal", + " Waypoint: Panayāttur Vadakkumbhāgam", + "Step 2: Calculate direct distance", + " Start → End: 5424.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14950.7 km", + "Step 4: Calculate detour", + " Detour = 14950.7 - 5424.1 = 9526.6 km", + " Detour % = (9526.6 / 5424.1) × 100 = 175.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 175.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 19.90944, + "lon": -99.14472, + "name": "Tequixquiac" + }, + "end": { + "lat": 50.85882, + "lon": 12.76165, + "name": "Limbach-Oberfrohna" + }, + "waypoint": { + "lat": 21.01004, + "lon": 107.27345, + "name": "Cẩm Phả" + }, + "question": "Is Cẩm Phả approximately on the direct path from Tequixquiac to Limbach-Oberfrohna?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9735.5, + "via_waypoint_km": 23151.3, + "detour_km": 13415.8, + "detour_percent": 137.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tequixquiac", + " End: Limbach-Oberfrohna", + " Waypoint: Cẩm Phả", + "Step 2: Calculate direct distance", + " Start → End: 9735.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23151.3 km", + "Step 4: Calculate detour", + " Detour = 23151.3 - 9735.5 = 13415.8 km", + " Detour % = (13415.8 / 9735.5) × 100 = 137.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 137.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 20.92085, + "lon": 74.76111, + "name": "Walwadi" + }, + "end": { + "lat": 29.65663, + "lon": 106.19673, + "name": "Hebian" + }, + "waypoint": { + "lat": -37.76722, + "lon": 144.76657, + "name": "Deer Park" + }, + "question": "Is Deer Park approximately on the direct path from Walwadi to Hebian?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3294.4, + "via_waypoint_km": 18294.7, + "detour_km": 15000.3, + "detour_percent": 455.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Walwadi", + " End: Hebian", + " Waypoint: Deer Park", + "Step 2: Calculate direct distance", + " Start → End: 3294.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18294.7 km", + "Step 4: Calculate detour", + " Detour = 18294.7 - 3294.4 = 15000.3 km", + " Detour % = (15000.3 / 3294.4) × 100 = 455.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 455.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 9.30571, + "lon": -64.35841, + "name": "Cantaura" + }, + "end": { + "lat": 47.91127, + "lon": 1.86483, + "name": "Saint-Jean-de-la-Ruelle" + }, + "waypoint": { + "lat": 34.00139, + "lon": 131.18361, + "name": "Onoda" + }, + "question": "Is Onoda approximately on the direct path from Cantaura to Saint-Jean-de-la-Ruelle?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7478.0, + "via_waypoint_km": 24534.3, + "detour_km": 17056.3, + "detour_percent": 228.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Cantaura", + " End: Saint-Jean-de-la-Ruelle", + " Waypoint: Onoda", + "Step 2: Calculate direct distance", + " Start → End: 7478.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24534.3 km", + "Step 4: Calculate detour", + " Detour = 24534.3 - 7478.0 = 17056.3 km", + " Detour % = (17056.3 / 7478.0) × 100 = 228.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 228.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 17.89241, + "lon": 75.02138, + "name": "Aklūj" + }, + "end": { + "lat": 52.51667, + "lon": 13.28333, + "name": "Charlottenburg" + }, + "waypoint": { + "lat": 53.35801, + "lon": -2.16539, + "name": "Bramhall" + }, + "question": "Is Bramhall approximately on the direct path from Aklūj to Charlottenburg?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6538.4, + "via_waypoint_km": 8613.4, + "detour_km": 2074.9, + "detour_percent": 31.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Aklūj", + " End: Charlottenburg", + " Waypoint: Bramhall", + "Step 2: Calculate direct distance", + " Start → End: 6538.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 8613.4 km", + "Step 4: Calculate detour", + " Detour = 8613.4 - 6538.4 = 2074.9 km", + " Detour % = (2074.9 / 6538.4) × 100 = 31.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 31.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -21.26083, + "lon": -50.64278, + "name": "Guararapes" + }, + "end": { + "lat": -21.35944, + "lon": -48.06556, + "name": "Pradópolis" + }, + "waypoint": { + "lat": 6.38423, + "lon": -3.88759, + "name": "Akoupé" + }, + "question": "Is Akoupé approximately on the direct path from Guararapes to Pradópolis?", + "ground_truth": { + "answer": false, + "direct_distance_km": 267.2, + "via_waypoint_km": 11674.1, + "detour_km": 11406.9, + "detour_percent": 4269.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Guararapes", + " End: Pradópolis", + " Waypoint: Akoupé", + "Step 2: Calculate direct distance", + " Start → End: 267.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11674.1 km", + "Step 4: Calculate detour", + " Detour = 11674.1 - 267.2 = 11406.9 km", + " Detour % = (11406.9 / 267.2) × 100 = 4269.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 4269.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 52.27152, + "lon": 11.85493, + "name": "Burg bei Magdeburg" + }, + "end": { + "lat": 50.72485, + "lon": 1.61373, + "name": "Boulogne-sur-Mer" + }, + "waypoint": { + "lat": -14.91694, + "lon": 40.30222, + "name": "Monapo" + }, + "question": "Is Monapo approximately on the direct path from Burg bei Magdeburg to Boulogne-sur-Mer?", + "ground_truth": { + "answer": false, + "direct_distance_km": 728.8, + "via_waypoint_km": 16168.6, + "detour_km": 15439.7, + "detour_percent": 2118.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Burg bei Magdeburg", + " End: Boulogne-sur-Mer", + " Waypoint: Monapo", + "Step 2: Calculate direct distance", + " Start → End: 728.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16168.6 km", + "Step 4: Calculate detour", + " Detour = 16168.6 - 728.8 = 15439.7 km", + " Detour % = (15439.7 / 728.8) × 100 = 2118.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2118.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 33.20639, + "lon": 105.04972, + "name": "Waina" + }, + "end": { + "lat": -14.54329, + "lon": 48.74981, + "name": "Bealanana" + }, + "waypoint": { + "lat": 6.46441, + "lon": 2.39288, + "name": "Ganvié" + }, + "question": "Is Ganvié approximately on the direct path from Waina to Bealanana?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7987.1, + "via_waypoint_km": 16397.0, + "detour_km": 8409.9, + "detour_percent": 105.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Waina", + " End: Bealanana", + " Waypoint: Ganvié", + "Step 2: Calculate direct distance", + " Start → End: 7987.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16397.0 km", + "Step 4: Calculate detour", + " Detour = 16397.0 - 7987.1 = 8409.9 km", + " Detour % = (8409.9 / 7987.1) × 100 = 105.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 105.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 45.77507, + "lon": 4.82712, + "name": "Lyon 04" + }, + "end": { + "lat": 55.82299, + "lon": 37.81306, + "name": "Gol’yanovo" + }, + "waypoint": { + "lat": -8.66361, + "lon": -36.00583, + "name": "Panelas" + }, + "question": "Is Panelas approximately on the direct path from Lyon 04 to Gol’yanovo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2541.1, + "via_waypoint_km": 17105.3, + "detour_km": 14564.2, + "detour_percent": 573.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Lyon 04", + " End: Gol’yanovo", + " Waypoint: Panelas", + "Step 2: Calculate direct distance", + " Start → End: 2541.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17105.3 km", + "Step 4: Calculate detour", + " Detour = 17105.3 - 2541.1 = 14564.2 km", + " Detour % = (14564.2 / 2541.1) × 100 = 573.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 573.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 45.03802, + "lon": -93.38662, + "name": "New Hope" + }, + "end": { + "lat": 32.80583, + "lon": 35.16895, + "name": "Shefar‘am" + }, + "waypoint": { + "lat": 48.96115, + "lon": 2.06882, + "name": "Achères" + }, + "question": "Is Achères approximately on the direct path from New Hope to Shefar‘am?", + "ground_truth": { + "answer": true, + "direct_distance_km": 9923.6, + "via_waypoint_km": 10020.5, + "detour_km": 96.9, + "detour_percent": 1.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: New Hope", + " End: Shefar‘am", + " Waypoint: Achères", + "Step 2: Calculate direct distance", + " Start → End: 9923.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10020.5 km", + "Step 4: Calculate detour", + " Detour = 10020.5 - 9923.6 = 96.9 km", + " Detour % = (96.9 / 9923.6) × 100 = 1.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1.0% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.53622, + "lon": -0.10304, + "name": "Islington" + }, + "end": { + "lat": 6.76229, + "lon": -6.8638, + "name": "Zoukougbeu" + }, + "waypoint": { + "lat": 33.84661, + "lon": 130.62963, + "name": "Yurigaoka" + }, + "question": "Is Yurigaoka approximately on the direct path from Islington to Zoukougbeu?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5017.4, + "via_waypoint_km": 23035.9, + "detour_km": 18018.5, + "detour_percent": 359.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Islington", + " End: Zoukougbeu", + " Waypoint: Yurigaoka", + "Step 2: Calculate direct distance", + " Start → End: 5017.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23035.9 km", + "Step 4: Calculate detour", + " Detour = 23035.9 - 5017.4 = 18018.5 km", + " Detour % = (18018.5 / 5017.4) × 100 = 359.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 359.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 5.79473, + "lon": 0.89728, + "name": "Anloga" + }, + "end": { + "lat": 51.50403, + "lon": 14.64017, + "name": "Weißwasser" + }, + "waypoint": { + "lat": 41.73392, + "lon": -87.7795, + "name": "Burbank" + }, + "question": "Is Burbank approximately on the direct path from Anloga to Weißwasser?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5238.6, + "via_waypoint_km": 16707.9, + "detour_km": 11469.3, + "detour_percent": 218.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Anloga", + " End: Weißwasser", + " Waypoint: Burbank", + "Step 2: Calculate direct distance", + " Start → End: 5238.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16707.9 km", + "Step 4: Calculate detour", + " Detour = 16707.9 - 5238.6 = 11469.3 km", + " Detour % = (11469.3 / 5238.6) × 100 = 218.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 218.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 49.1643, + "lon": -121.95907, + "name": "Chilliwack-Downtown" + }, + "end": { + "lat": -25.668, + "lon": 28.73, + "name": "Ekangala" + }, + "waypoint": { + "lat": 12.25263, + "lon": -2.36272, + "name": "Koudougou" + }, + "question": "Is Koudougou approximately on the direct path from Chilliwack-Downtown to Ekangala?", + "ground_truth": { + "answer": true, + "direct_distance_km": 16380.5, + "via_waypoint_km": 16394.7, + "detour_km": 14.3, + "detour_percent": 0.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Chilliwack-Downtown", + " End: Ekangala", + " Waypoint: Koudougou", + "Step 2: Calculate direct distance", + " Start → End: 16380.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16394.7 km", + "Step 4: Calculate detour", + " Detour = 16394.7 - 16380.5 = 14.3 km", + " Detour % = (14.3 / 16380.5) × 100 = 0.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.1% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 4.63911, + "lon": 9.67987, + "name": "Penja" + }, + "end": { + "lat": 34.04806, + "lon": -118.52647, + "name": "Pacific Palisades" + }, + "waypoint": { + "lat": 36.80851, + "lon": 43.03935, + "name": "Sīnah" + }, + "question": "Is Sīnah approximately on the direct path from Penja to Pacific Palisades?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13092.4, + "via_waypoint_km": 16840.3, + "detour_km": 3747.9, + "detour_percent": 28.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Penja", + " End: Pacific Palisades", + " Waypoint: Sīnah", + "Step 2: Calculate direct distance", + " Start → End: 13092.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16840.3 km", + "Step 4: Calculate detour", + " Detour = 16840.3 - 13092.4 = 3747.9 km", + " Detour % = (3747.9 / 13092.4) × 100 = 28.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 28.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 28.55207, + "lon": 70.46837, + "name": "Kot Samaba" + }, + "end": { + "lat": 40.78485, + "lon": 48.15141, + "name": "İsmayıllı" + }, + "waypoint": { + "lat": 31.71545, + "lon": 35.18788, + "name": "Bayt Jālā" + }, + "question": "Is Bayt Jālā approximately on the direct path from Kot Samaba to İsmayıllı?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2441.3, + "via_waypoint_km": 4932.2, + "detour_km": 2491.0, + "detour_percent": 102.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kot Samaba", + " End: İsmayıllı", + " Waypoint: Bayt Jālā", + "Step 2: Calculate direct distance", + " Start → End: 2441.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 4932.2 km", + "Step 4: Calculate detour", + " Detour = 4932.2 - 2441.3 = 2491.0 km", + " Detour % = (2491.0 / 2441.3) × 100 = 102.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 102.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 29.74409, + "lon": -7.973, + "name": "Tata" + }, + "end": { + "lat": 34.50259, + "lon": -84.95105, + "name": "Calhoun" + }, + "waypoint": { + "lat": -38.68333, + "lon": 176.08333, + "name": "Taupo" + }, + "question": "Is Taupo approximately on the direct path from Tata to Calhoun?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7088.9, + "via_waypoint_km": 31965.7, + "detour_km": 24876.8, + "detour_percent": 350.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tata", + " End: Calhoun", + " Waypoint: Taupo", + "Step 2: Calculate direct distance", + " Start → End: 7088.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 31965.7 km", + "Step 4: Calculate detour", + " Detour = 31965.7 - 7088.9 = 24876.8 km", + " Detour % = (24876.8 / 7088.9) × 100 = 350.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 350.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 32.45943, + "lon": 35.30086, + "name": "Janīn" + }, + "end": { + "lat": 18.68211, + "lon": 73.73161, + "name": "Dehu Road" + }, + "waypoint": { + "lat": -26.85874, + "lon": -58.30639, + "name": "Pilar" + }, + "question": "Is Pilar approximately on the direct path from Janīn to Dehu Road?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4120.2, + "via_waypoint_km": 26924.1, + "detour_km": 22803.9, + "detour_percent": 553.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Janīn", + " End: Dehu Road", + " Waypoint: Pilar", + "Step 2: Calculate direct distance", + " Start → End: 4120.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26924.1 km", + "Step 4: Calculate detour", + " Detour = 26924.1 - 4120.2 = 22803.9 km", + " Detour % = (22803.9 / 4120.2) × 100 = 553.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 553.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -0.75675, + "lon": 34.59833, + "name": "Rongo" + }, + "end": { + "lat": 14.70074, + "lon": -16.45911, + "name": "Bambey" + }, + "waypoint": { + "lat": 15.81047, + "lon": 102.02881, + "name": "Chaiyaphum" + }, + "question": "Is Chaiyaphum approximately on the direct path from Rongo to Bambey?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5871.4, + "via_waypoint_km": 20077.6, + "detour_km": 14206.2, + "detour_percent": 242.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Rongo", + " End: Bambey", + " Waypoint: Chaiyaphum", + "Step 2: Calculate direct distance", + " Start → End: 5871.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20077.6 km", + "Step 4: Calculate detour", + " Detour = 20077.6 - 5871.4 = 14206.2 km", + " Detour % = (14206.2 / 5871.4) × 100 = 242.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 242.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 15.40555, + "lon": 79.50694, + "name": "Kanigiri" + }, + "end": { + "lat": 14.95806, + "lon": 120.91778, + "name": "Bustos" + }, + "waypoint": { + "lat": 40.0165, + "lon": -75.14379, + "name": "Hunting Park" + }, + "question": "Is Hunting Park approximately on the direct path from Kanigiri to Bustos?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4437.3, + "via_waypoint_km": 26997.4, + "detour_km": 22560.1, + "detour_percent": 508.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kanigiri", + " End: Bustos", + " Waypoint: Hunting Park", + "Step 2: Calculate direct distance", + " Start → End: 4437.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26997.4 km", + "Step 4: Calculate detour", + " Detour = 26997.4 - 4437.3 = 22560.1 km", + " Detour % = (22560.1 / 4437.3) × 100 = 508.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 508.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.01839, + "lon": 139.66034, + "name": "Shiraoka" + }, + "end": { + "lat": 31.61166, + "lon": 25.92539, + "name": "Sīdī Barānī" + }, + "waypoint": { + "lat": 34.15112, + "lon": -118.44925, + "name": "Sherman Oaks" + }, + "question": "Is Sherman Oaks approximately on the direct path from Shiraoka to Sīdī Barānī?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9810.2, + "via_waypoint_km": 20581.8, + "detour_km": 10771.6, + "detour_percent": 109.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Shiraoka", + " End: Sīdī Barānī", + " Waypoint: Sherman Oaks", + "Step 2: Calculate direct distance", + " Start → End: 9810.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20581.8 km", + "Step 4: Calculate detour", + " Detour = 20581.8 - 9810.2 = 10771.6 km", + " Detour % = (10771.6 / 9810.2) × 100 = 109.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 109.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -4.13306, + "lon": -38.24194, + "name": "Cascavel" + }, + "end": { + "lat": 40.4976, + "lon": -74.48849, + "name": "Somerset" + }, + "waypoint": { + "lat": 24.42244, + "lon": 88.25238, + "name": "Lālgola" + }, + "question": "Is Lālgola approximately on the direct path from Cascavel to Somerset?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6183.2, + "via_waypoint_km": 26449.7, + "detour_km": 20266.5, + "detour_percent": 327.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Cascavel", + " End: Somerset", + " Waypoint: Lālgola", + "Step 2: Calculate direct distance", + " Start → End: 6183.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26449.7 km", + "Step 4: Calculate detour", + " Detour = 26449.7 - 6183.2 = 20266.5 km", + " Detour % = (20266.5 / 6183.2) × 100 = 327.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 327.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 43.30213, + "lon": 5.40141, + "name": "Marseille 04" + }, + "end": { + "lat": 49.4618, + "lon": 8.17236, + "name": "Bad Dürkheim" + }, + "waypoint": { + "lat": 9.06861, + "lon": 105.39583, + "name": "An Trạch" + }, + "question": "Is An Trạch approximately on the direct path from Marseille 04 to Bad Dürkheim?", + "ground_truth": { + "answer": false, + "direct_distance_km": 717.0, + "via_waypoint_km": 19871.9, + "detour_km": 19154.9, + "detour_percent": 2671.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Marseille 04", + " End: Bad Dürkheim", + " Waypoint: An Trạch", + "Step 2: Calculate direct distance", + " Start → End: 717.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19871.9 km", + "Step 4: Calculate detour", + " Detour = 19871.9 - 717.0 = 19154.9 km", + " Detour % = (19154.9 / 717.0) × 100 = 2671.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2671.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 47.59432, + "lon": 1.32912, + "name": "Blois" + }, + "end": { + "lat": 35.92296, + "lon": 5.29604, + "name": "Aïn Oulmene" + }, + "waypoint": { + "lat": 40.96417, + "lon": 129.32778, + "name": "Kilju" + }, + "question": "Is Kilju approximately on the direct path from Blois to Aïn Oulmene?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1338.4, + "via_waypoint_km": 18652.8, + "detour_km": 17314.4, + "detour_percent": 1293.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Blois", + " End: Aïn Oulmene", + " Waypoint: Kilju", + "Step 2: Calculate direct distance", + " Start → End: 1338.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18652.8 km", + "Step 4: Calculate detour", + " Detour = 18652.8 - 1338.4 = 17314.4 km", + " Detour % = (17314.4 / 1338.4) × 100 = 1293.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1293.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -23.31861, + "lon": -46.58667, + "name": "Mairiporã" + }, + "end": { + "lat": 8.58679, + "lon": 39.12111, + "name": "Mojo" + }, + "waypoint": { + "lat": 17.76052, + "lon": -92.59539, + "name": "Macuspana" + }, + "question": "Is Macuspana approximately on the direct path from Mairiporã to Mojo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9951.1, + "via_waypoint_km": 20727.3, + "detour_km": 10776.1, + "detour_percent": 108.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mairiporã", + " End: Mojo", + " Waypoint: Macuspana", + "Step 2: Calculate direct distance", + " Start → End: 9951.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20727.3 km", + "Step 4: Calculate detour", + " Detour = 20727.3 - 9951.1 = 10776.1 km", + " Detour % = (10776.1 / 9951.1) × 100 = 108.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 108.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 11.36088, + "lon": 77.68952, + "name": "Periya Semūr" + }, + "end": { + "lat": 32.50467, + "lon": -7.19238, + "name": "Al Brouj" + }, + "waypoint": { + "lat": 36.63709, + "lon": 3.69474, + "name": "Chabet el Ameur" + }, + "question": "Is Chabet el Ameur approximately on the direct path from Periya Semūr to Al Brouj?", + "ground_truth": { + "answer": true, + "direct_distance_km": 8857.0, + "via_waypoint_km": 8931.5, + "detour_km": 74.5, + "detour_percent": 0.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Periya Semūr", + " End: Al Brouj", + " Waypoint: Chabet el Ameur", + "Step 2: Calculate direct distance", + " Start → End: 8857.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 8931.5 km", + "Step 4: Calculate detour", + " Detour = 8931.5 - 8857.0 = 74.5 km", + " Detour % = (74.5 / 8857.0) × 100 = 0.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.8% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -1.8, + "lon": -53.48, + "name": "Prainha" + }, + "end": { + "lat": 22.10475, + "lon": -79.72141, + "name": "Fomento" + }, + "waypoint": { + "lat": 30.36742, + "lon": 30.50871, + "name": "Madīnat as Sādāt" + }, + "question": "Is Madīnat as Sādāt approximately on the direct path from Prainha to Fomento?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3895.9, + "via_waypoint_km": 20090.2, + "detour_km": 16194.3, + "detour_percent": 415.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Prainha", + " End: Fomento", + " Waypoint: Madīnat as Sādāt", + "Step 2: Calculate direct distance", + " Start → End: 3895.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20090.2 km", + "Step 4: Calculate detour", + " Detour = 20090.2 - 3895.9 = 16194.3 km", + " Detour % = (16194.3 / 3895.9) × 100 = 415.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 415.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 50.57879, + "lon": 7.22703, + "name": "Remagen" + }, + "end": { + "lat": 25.6604, + "lon": -100.40651, + "name": "San Pedro Garza García" + }, + "waypoint": { + "lat": -24.715, + "lon": -47.88111, + "name": "Pariquera-Açu" + }, + "question": "Is Pariquera-Açu approximately on the direct path from Remagen to San Pedro Garza García?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8976.5, + "via_waypoint_km": 17914.7, + "detour_km": 8938.2, + "detour_percent": 99.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Remagen", + " End: San Pedro Garza García", + " Waypoint: Pariquera-Açu", + "Step 2: Calculate direct distance", + " Start → End: 8976.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17914.7 km", + "Step 4: Calculate detour", + " Detour = 17914.7 - 8976.5 = 8938.2 km", + " Detour % = (8938.2 / 8976.5) × 100 = 99.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 99.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.96441, + "lon": 14.26854, + "name": "Orta di Atella" + }, + "end": { + "lat": 6.90418, + "lon": -6.24347, + "name": "Gonaté" + }, + "waypoint": { + "lat": -25.16667, + "lon": 45.05, + "name": "Beloha" + }, + "question": "Is Beloha approximately on the direct path from Orta di Atella to Gonaté?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4298.2, + "via_waypoint_km": 14602.7, + "detour_km": 10304.5, + "detour_percent": 239.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Orta di Atella", + " End: Gonaté", + " Waypoint: Beloha", + "Step 2: Calculate direct distance", + " Start → End: 4298.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14602.7 km", + "Step 4: Calculate detour", + " Detour = 14602.7 - 4298.2 = 10304.5 km", + " Detour % = (10304.5 / 4298.2) × 100 = 239.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 239.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 28.14029, + "lon": -81.45841, + "name": "Poinciana" + }, + "end": { + "lat": 63.11045, + "lon": 7.72795, + "name": "Kristiansund" + }, + "waypoint": { + "lat": -21.71417, + "lon": -52.42222, + "name": "Bataguassu" + }, + "question": "Is Bataguassu approximately on the direct path from Poinciana to Kristiansund?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7201.7, + "via_waypoint_km": 17139.2, + "detour_km": 9937.5, + "detour_percent": 138.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Poinciana", + " End: Kristiansund", + " Waypoint: Bataguassu", + "Step 2: Calculate direct distance", + " Start → End: 7201.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17139.2 km", + "Step 4: Calculate detour", + " Detour = 17139.2 - 7201.7 = 9937.5 km", + " Detour % = (9937.5 / 7201.7) × 100 = 138.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 138.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 48.28038, + "lon": 11.57684, + "name": "Unterschleißheim" + }, + "end": { + "lat": 10.0706, + "lon": 6.1906, + "name": "Tegina" + }, + "waypoint": { + "lat": 36.8175, + "lon": 38.01111, + "name": "Jarābulus" + }, + "question": "Is Jarābulus approximately on the direct path from Unterschleißheim to Tegina?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4278.4, + "via_waypoint_km": 6856.9, + "detour_km": 2578.5, + "detour_percent": 60.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Unterschleißheim", + " End: Tegina", + " Waypoint: Jarābulus", + "Step 2: Calculate direct distance", + " Start → End: 4278.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 6856.9 km", + "Step 4: Calculate detour", + " Detour = 6856.9 - 4278.4 = 2578.5 km", + " Detour % = (2578.5 / 4278.4) × 100 = 60.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 60.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 33.86751, + "lon": -117.99812, + "name": "Buena Park" + }, + "end": { + "lat": 39.90929, + "lon": -74.15486, + "name": "Bayville" + }, + "waypoint": { + "lat": 36.17424, + "lon": 8.70486, + "name": "El Kef" + }, + "question": "Is El Kef approximately on the direct path from Buena Park to Bayville?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3916.8, + "via_waypoint_km": 17457.9, + "detour_km": 13541.1, + "detour_percent": 345.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Buena Park", + " End: Bayville", + " Waypoint: El Kef", + "Step 2: Calculate direct distance", + " Start → End: 3916.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17457.9 km", + "Step 4: Calculate detour", + " Detour = 17457.9 - 3916.8 = 13541.1 km", + " Detour % = (13541.1 / 3916.8) × 100 = 345.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 345.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.18539, + "lon": 6.44172, + "name": "Mönchengladbach" + }, + "end": { + "lat": 50.7282, + "lon": 16.65141, + "name": "Dzierżoniów" + }, + "waypoint": { + "lat": -33.9205, + "lon": 151.25522, + "name": "Coogee" + }, + "question": "Is Coogee approximately on the direct path from Mönchengladbach to Dzierżoniów?", + "ground_truth": { + "answer": false, + "direct_distance_km": 716.3, + "via_waypoint_km": 32526.5, + "detour_km": 31810.2, + "detour_percent": 4440.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mönchengladbach", + " End: Dzierżoniów", + " Waypoint: Coogee", + "Step 2: Calculate direct distance", + " Start → End: 716.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 32526.5 km", + "Step 4: Calculate detour", + " Detour = 32526.5 - 716.3 = 31810.2 km", + " Detour % = (31810.2 / 716.3) × 100 = 4440.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 4440.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 19.23187, + "lon": -98.99867, + "name": "San Juan Ixtayopan" + }, + "end": { + "lat": 30.21309, + "lon": -93.2044, + "name": "Lake Charles" + }, + "waypoint": { + "lat": 47.65729, + "lon": 23.56808, + "name": "Baia Mare" + }, + "question": "Is Baia Mare approximately on the direct path from San Juan Ixtayopan to Lake Charles?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1353.4, + "via_waypoint_km": 19945.4, + "detour_km": 18592.0, + "detour_percent": 1373.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: San Juan Ixtayopan", + " End: Lake Charles", + " Waypoint: Baia Mare", + "Step 2: Calculate direct distance", + " Start → End: 1353.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19945.4 km", + "Step 4: Calculate detour", + " Detour = 19945.4 - 1353.4 = 18592.0 km", + " Detour % = (18592.0 / 1353.4) × 100 = 1373.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1373.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 43.43774, + "lon": 4.94457, + "name": "Fos-sur-Mer" + }, + "end": { + "lat": 37.59989, + "lon": -0.80682, + "name": "Atamaría" + }, + "waypoint": { + "lat": -9.23333, + "lon": 33.61667, + "name": "Katumba" + }, + "question": "Is Katumba approximately on the direct path from Fos-sur-Mer to Atamaría?", + "ground_truth": { + "answer": false, + "direct_distance_km": 810.6, + "via_waypoint_km": 12853.5, + "detour_km": 12042.9, + "detour_percent": 1485.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Fos-sur-Mer", + " End: Atamaría", + " Waypoint: Katumba", + "Step 2: Calculate direct distance", + " Start → End: 810.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12853.5 km", + "Step 4: Calculate detour", + " Detour = 12853.5 - 810.6 = 12042.9 km", + " Detour % = (12042.9 / 810.6) × 100 = 1485.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1485.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 55.57259, + "lon": 39.53417, + "name": "Shatura" + }, + "end": { + "lat": 26.02301, + "lon": 76.34408, + "name": "Sawai Madhopur" + }, + "waypoint": { + "lat": 8.82778, + "lon": 125.09972, + "name": "Gingoog" + }, + "question": "Is Gingoog approximately on the direct path from Shatura to Sawai Madhopur?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4422.0, + "via_waypoint_km": 14397.1, + "detour_km": 9975.1, + "detour_percent": 225.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Shatura", + " End: Sawai Madhopur", + " Waypoint: Gingoog", + "Step 2: Calculate direct distance", + " Start → End: 4422.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14397.1 km", + "Step 4: Calculate detour", + " Detour = 14397.1 - 4422.0 = 9975.1 km", + " Detour % = (9975.1 / 4422.0) × 100 = 225.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 225.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -22.76111, + "lon": -47.15417, + "name": "Paulínia" + }, + "end": { + "lat": 50.46379, + "lon": 4.3747, + "name": "Courcelles" + }, + "waypoint": { + "lat": 51.4975, + "lon": -0.1357, + "name": "City of Westminster" + }, + "question": "Is City of Westminster approximately on the direct path from Paulínia to Courcelles?", + "ground_truth": { + "answer": true, + "direct_distance_km": 9581.6, + "via_waypoint_km": 9778.3, + "detour_km": 196.6, + "detour_percent": 2.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Paulínia", + " End: Courcelles", + " Waypoint: City of Westminster", + "Step 2: Calculate direct distance", + " Start → End: 9581.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9778.3 km", + "Step 4: Calculate detour", + " Detour = 9778.3 - 9581.6 = 196.6 km", + " Detour % = (196.6 / 9581.6) × 100 = 2.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2.1% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 46.42005, + "lon": 15.87018, + "name": "Ptuj" + }, + "end": { + "lat": 12.99082, + "lon": 7.60177, + "name": "Katsina" + }, + "waypoint": { + "lat": -16.09861, + "lon": 35.77, + "name": "Milange" + }, + "question": "Is Milange approximately on the direct path from Ptuj to Katsina?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3797.2, + "via_waypoint_km": 11710.7, + "detour_km": 7913.5, + "detour_percent": 208.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ptuj", + " End: Katsina", + " Waypoint: Milange", + "Step 2: Calculate direct distance", + " Start → End: 3797.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11710.7 km", + "Step 4: Calculate detour", + " Detour = 11710.7 - 3797.2 = 7913.5 km", + " Detour % = (7913.5 / 3797.2) × 100 = 208.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 208.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 53.44253, + "lon": -2.42323, + "name": "Irlam" + }, + "end": { + "lat": 7.75, + "lon": 2.18333, + "name": "Dassa-Zoumè" + }, + "waypoint": { + "lat": 14.53194, + "lon": 120.99417, + "name": "Baclaran" + }, + "question": "Is Baclaran approximately on the direct path from Irlam to Dassa-Zoumè?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5097.7, + "via_waypoint_km": 23576.3, + "detour_km": 18478.6, + "detour_percent": 362.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Irlam", + " End: Dassa-Zoumè", + " Waypoint: Baclaran", + "Step 2: Calculate direct distance", + " Start → End: 5097.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23576.3 km", + "Step 4: Calculate detour", + " Detour = 23576.3 - 5097.7 = 18478.6 km", + " Detour % = (18478.6 / 5097.7) × 100 = 362.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 362.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -41.13333, + "lon": 174.85, + "name": "Porirua" + }, + "end": { + "lat": -27.10876, + "lon": 152.94907, + "name": "Morayfield" + }, + "waypoint": { + "lat": 40.56754, + "lon": -89.64066, + "name": "Pekin" + }, + "question": "Is Pekin approximately on the direct path from Porirua to Morayfield?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2536.2, + "via_waypoint_km": 27385.4, + "detour_km": 24849.3, + "detour_percent": 979.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Porirua", + " End: Morayfield", + " Waypoint: Pekin", + "Step 2: Calculate direct distance", + " Start → End: 2536.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27385.4 km", + "Step 4: Calculate detour", + " Detour = 27385.4 - 2536.2 = 24849.3 km", + " Detour % = (24849.3 / 2536.2) × 100 = 979.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 979.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 29.14269, + "lon": 71.25771, + "name": "Ahmadpur East" + }, + "end": { + "lat": 30.73916, + "lon": 108.59976, + "name": "Changtan" + }, + "waypoint": { + "lat": -15.64713, + "lon": -47.79315, + "name": "Sobradinho" + }, + "question": "Is Sobradinho approximately on the direct path from Ahmadpur East to Changtan?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3585.9, + "via_waypoint_km": 30727.1, + "detour_km": 27141.2, + "detour_percent": 756.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ahmadpur East", + " End: Changtan", + " Waypoint: Sobradinho", + "Step 2: Calculate direct distance", + " Start → End: 3585.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 30727.1 km", + "Step 4: Calculate detour", + " Detour = 30727.1 - 3585.9 = 27141.2 km", + " Detour % = (27141.2 / 3585.9) × 100 = 756.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 756.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 52.51868, + "lon": -1.9945, + "name": "West Bromwich" + }, + "end": { + "lat": -25.92842, + "lon": -49.18008, + "name": "Tijucas do Sul" + }, + "waypoint": { + "lat": 39.64284, + "lon": -84.28661, + "name": "Miamisburg" + }, + "question": "Is Miamisburg approximately on the direct path from West Bromwich to Tijucas do Sul?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9848.6, + "via_waypoint_km": 14299.4, + "detour_km": 4450.8, + "detour_percent": 45.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: West Bromwich", + " End: Tijucas do Sul", + " Waypoint: Miamisburg", + "Step 2: Calculate direct distance", + " Start → End: 9848.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14299.4 km", + "Step 4: Calculate detour", + " Detour = 14299.4 - 9848.6 = 4450.8 km", + " Detour % = (4450.8 / 9848.6) × 100 = 45.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 45.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -22.0, + "lon": 35.31667, + "name": "Vilankulo" + }, + "end": { + "lat": -31.43722, + "lon": -68.52556, + "name": "Albardón" + }, + "waypoint": { + "lat": 25.55265, + "lon": 84.15149, + "name": "Dumraon" + }, + "question": "Is Dumraon approximately on the direct path from Vilankulo to Albardón?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9968.6, + "via_waypoint_km": 24735.7, + "detour_km": 14767.1, + "detour_percent": 148.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Vilankulo", + " End: Albardón", + " Waypoint: Dumraon", + "Step 2: Calculate direct distance", + " Start → End: 9968.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24735.7 km", + "Step 4: Calculate detour", + " Detour = 24735.7 - 9968.6 = 14767.1 km", + " Detour % = (14767.1 / 9968.6) × 100 = 148.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 148.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 6.08333, + "lon": 38.03333, + "name": "Kele" + }, + "end": { + "lat": 13.77714, + "lon": 100.55082, + "name": "Sam Sen Nai" + }, + "waypoint": { + "lat": -5.07417, + "lon": -37.98861, + "name": "Quixeré" + }, + "question": "Is Quixeré approximately on the direct path from Kele to Sam Sen Nai?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6883.7, + "via_waypoint_km": 23902.5, + "detour_km": 17018.9, + "detour_percent": 247.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kele", + " End: Sam Sen Nai", + " Waypoint: Quixeré", + "Step 2: Calculate direct distance", + " Start → End: 6883.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23902.5 km", + "Step 4: Calculate detour", + " Detour = 23902.5 - 6883.7 = 17018.9 km", + " Detour % = (17018.9 / 6883.7) × 100 = 247.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 247.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 16.08987, + "lon": 80.16705, + "name": "Chilakalūrupet" + }, + "end": { + "lat": -3.21799, + "lon": 40.11692, + "name": "Malindi" + }, + "waypoint": { + "lat": 0.29123, + "lon": 9.50465, + "name": "Owendo" + }, + "question": "Is Owendo approximately on the direct path from Chilakalūrupet to Malindi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4897.7, + "via_waypoint_km": 11359.8, + "detour_km": 6462.1, + "detour_percent": 131.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Chilakalūrupet", + " End: Malindi", + " Waypoint: Owendo", + "Step 2: Calculate direct distance", + " Start → End: 4897.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11359.8 km", + "Step 4: Calculate detour", + " Detour = 11359.8 - 4897.7 = 6462.1 km", + " Detour % = (6462.1 / 4897.7) × 100 = 131.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 131.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 50.90634, + "lon": 4.00093, + "name": "Haaltert" + }, + "end": { + "lat": 10.59181, + "lon": -74.18983, + "name": "Aracataca" + }, + "waypoint": { + "lat": -26.8089, + "lon": -55.02147, + "name": "Puerto Rico" + }, + "question": "Is Puerto Rico approximately on the direct path from Haaltert to Aracataca?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8269.0, + "via_waypoint_km": 15037.5, + "detour_km": 6768.5, + "detour_percent": 81.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Haaltert", + " End: Aracataca", + " Waypoint: Puerto Rico", + "Step 2: Calculate direct distance", + " Start → End: 8269.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15037.5 km", + "Step 4: Calculate detour", + " Detour = 15037.5 - 8269.0 = 6768.5 km", + " Detour % = (6768.5 / 8269.0) × 100 = 81.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 81.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 47.65105, + "lon": 7.82089, + "name": "Schopfheim" + }, + "end": { + "lat": 52.17941, + "lon": 20.94612, + "name": "Włochy" + }, + "waypoint": { + "lat": -1.96071, + "lon": -79.72566, + "name": "Samborondón" + }, + "question": "Is Samborondón approximately on the direct path from Schopfheim to Włochy?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1064.0, + "via_waypoint_km": 20890.8, + "detour_km": 19826.8, + "detour_percent": 1863.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Schopfheim", + " End: Włochy", + " Waypoint: Samborondón", + "Step 2: Calculate direct distance", + " Start → End: 1064.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20890.8 km", + "Step 4: Calculate detour", + " Detour = 20890.8 - 1064.0 = 19826.8 km", + " Detour % = (19826.8 / 1064.0) × 100 = 1863.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1863.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 56.24227, + "lon": 42.14911, + "name": "Vyazniki" + }, + "end": { + "lat": 51.61667, + "lon": 5.54861, + "name": "Veghel" + }, + "waypoint": { + "lat": 41.58746, + "lon": -109.2029, + "name": "Rock Springs" + }, + "question": "Is Rock Springs approximately on the direct path from Vyazniki to Veghel?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2420.3, + "via_waypoint_km": 16701.2, + "detour_km": 14281.0, + "detour_percent": 590.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Vyazniki", + " End: Veghel", + " Waypoint: Rock Springs", + "Step 2: Calculate direct distance", + " Start → End: 2420.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16701.2 km", + "Step 4: Calculate detour", + " Detour = 16701.2 - 2420.3 = 14281.0 km", + " Detour % = (14281.0 / 2420.3) × 100 = 590.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 590.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 15.62788, + "lon": 77.27495, + "name": "Adoni" + }, + "end": { + "lat": 4.9547, + "lon": 9.9404, + "name": "Nkongsamba" + }, + "waypoint": { + "lat": 42.20426, + "lon": -72.6162, + "name": "Holyoke" + }, + "question": "Is Holyoke approximately on the direct path from Adoni to Nkongsamba?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7434.5, + "via_waypoint_km": 21907.8, + "detour_km": 14473.3, + "detour_percent": 194.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Adoni", + " End: Nkongsamba", + " Waypoint: Holyoke", + "Step 2: Calculate direct distance", + " Start → End: 7434.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21907.8 km", + "Step 4: Calculate detour", + " Detour = 21907.8 - 7434.5 = 14473.3 km", + " Detour % = (14473.3 / 7434.5) × 100 = 194.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 194.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 1.29417, + "lon": 103.8025, + "name": "Queenstown Estate" + }, + "end": { + "lat": -7.4664, + "lon": 112.4338, + "name": "Mojokerto" + }, + "waypoint": { + "lat": 10.43949, + "lon": -68.89496, + "name": "Aroa" + }, + "question": "Is Aroa approximately on the direct path from Queenstown Estate to Mojokerto?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1365.9, + "via_waypoint_km": 38134.2, + "detour_km": 36768.3, + "detour_percent": 2691.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Queenstown Estate", + " End: Mojokerto", + " Waypoint: Aroa", + "Step 2: Calculate direct distance", + " Start → End: 1365.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 38134.2 km", + "Step 4: Calculate detour", + " Detour = 38134.2 - 1365.9 = 36768.3 km", + " Detour % = (36768.3 / 1365.9) × 100 = 2691.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2691.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 46.56667, + "lon": 23.78333, + "name": "Turda" + }, + "end": { + "lat": 43.60717, + "lon": 13.5103, + "name": "Ancona" + }, + "waypoint": { + "lat": -30.2518, + "lon": -57.63537, + "name": "Monte Caseros" + }, + "question": "Is Monte Caseros approximately on the direct path from Turda to Ancona?", + "ground_truth": { + "answer": false, + "direct_distance_km": 870.2, + "via_waypoint_km": 22734.1, + "detour_km": 21863.8, + "detour_percent": 2512.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Turda", + " End: Ancona", + " Waypoint: Monte Caseros", + "Step 2: Calculate direct distance", + " Start → End: 870.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22734.1 km", + "Step 4: Calculate detour", + " Detour = 22734.1 - 870.2 = 21863.8 km", + " Detour % = (21863.8 / 870.2) × 100 = 2512.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2512.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 35.16813, + "lon": -2.93352, + "name": "Nador" + }, + "end": { + "lat": 9.79399, + "lon": 8.86397, + "name": "Bukuru" + }, + "waypoint": { + "lat": 20.85829, + "lon": 92.29773, + "name": "Teknāf" + }, + "question": "Is Teknāf approximately on the direct path from Nador to Bukuru?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3064.7, + "via_waypoint_km": 18087.9, + "detour_km": 15023.2, + "detour_percent": 490.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Nador", + " End: Bukuru", + " Waypoint: Teknāf", + "Step 2: Calculate direct distance", + " Start → End: 3064.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18087.9 km", + "Step 4: Calculate detour", + " Detour = 18087.9 - 3064.7 = 15023.2 km", + " Detour % = (15023.2 / 3064.7) × 100 = 490.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 490.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.75541, + "lon": 81.60765, + "name": "Arix" + }, + "end": { + "lat": 35.34926, + "lon": 139.47666, + "name": "Fujisawa" + }, + "waypoint": { + "lat": 29.2476, + "lon": 107.28443, + "name": "Shuijiang" + }, + "question": "Is Shuijiang approximately on the direct path from Arix to Fujisawa?", + "ground_truth": { + "answer": true, + "direct_distance_km": 5122.8, + "via_waypoint_km": 5612.9, + "detour_km": 490.1, + "detour_percent": 9.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Arix", + " End: Fujisawa", + " Waypoint: Shuijiang", + "Step 2: Calculate direct distance", + " Start → End: 5122.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 5612.9 km", + "Step 4: Calculate detour", + " Detour = 5612.9 - 5122.8 = 490.1 km", + " Detour % = (490.1 / 5122.8) × 100 = 9.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 9.6% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 21.23777, + "lon": -104.9001, + "name": "Compostela" + }, + "end": { + "lat": -15.505, + "lon": -41.23917, + "name": "Cândido Sales" + }, + "waypoint": { + "lat": -33.9205, + "lon": 151.25522, + "name": "Coogee" + }, + "question": "Is Coogee approximately on the direct path from Compostela to Cândido Sales?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8055.2, + "via_waypoint_km": 26902.8, + "detour_km": 18847.6, + "detour_percent": 234.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Compostela", + " End: Cândido Sales", + " Waypoint: Coogee", + "Step 2: Calculate direct distance", + " Start → End: 8055.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26902.8 km", + "Step 4: Calculate detour", + " Detour = 26902.8 - 8055.2 = 18847.6 km", + " Detour % = (18847.6 / 8055.2) × 100 = 234.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 234.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 11.7817, + "lon": 78.8354, + "name": "Vadakkanandal" + }, + "end": { + "lat": -0.40306, + "lon": 31.15722, + "name": "Lyantonde" + }, + "waypoint": { + "lat": 50.39105, + "lon": 24.23514, + "name": "Chervonohrad" + }, + "question": "Is Chervonohrad approximately on the direct path from Vadakkanandal to Lyantonde?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5435.0, + "via_waypoint_km": 12218.4, + "detour_km": 6783.3, + "detour_percent": 124.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Vadakkanandal", + " End: Lyantonde", + " Waypoint: Chervonohrad", + "Step 2: Calculate direct distance", + " Start → End: 5435.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12218.4 km", + "Step 4: Calculate detour", + " Detour = 12218.4 - 5435.0 = 6783.3 km", + " Detour % = (6783.3 / 5435.0) × 100 = 124.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 124.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 39.45833, + "lon": 48.545, + "name": "Pushkino" + }, + "end": { + "lat": 48.46458, + "lon": 9.22796, + "name": "Pfullingen" + }, + "waypoint": { + "lat": 20.88722, + "lon": -76.26306, + "name": "Holguín" + }, + "question": "Is Holguín approximately on the direct path from Pushkino to Pfullingen?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3261.6, + "via_waypoint_km": 19156.2, + "detour_km": 15894.6, + "detour_percent": 487.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Pushkino", + " End: Pfullingen", + " Waypoint: Holguín", + "Step 2: Calculate direct distance", + " Start → End: 3261.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19156.2 km", + "Step 4: Calculate detour", + " Detour = 19156.2 - 3261.6 = 15894.6 km", + " Detour % = (15894.6 / 3261.6) × 100 = 487.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 487.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 13.74472, + "lon": -89.67306, + "name": "Izalco" + }, + "end": { + "lat": -37.91806, + "lon": 145.03544, + "name": "Bentleigh" + }, + "waypoint": { + "lat": -23.42528, + "lon": -51.93861, + "name": "Maringá" + }, + "question": "Is Maringá approximately on the direct path from Izalco to Bentleigh?", + "ground_truth": { + "answer": false, + "direct_distance_km": 14018.0, + "via_waypoint_km": 18791.5, + "detour_km": 4773.5, + "detour_percent": 34.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Izalco", + " End: Bentleigh", + " Waypoint: Maringá", + "Step 2: Calculate direct distance", + " Start → End: 14018.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18791.5 km", + "Step 4: Calculate detour", + " Detour = 18791.5 - 14018.0 = 4773.5 km", + " Detour % = (4773.5 / 14018.0) × 100 = 34.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 34.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 34.89859, + "lon": -117.02282, + "name": "Barstow" + }, + "end": { + "lat": 34.74488, + "lon": 8.06024, + "name": "Bir el Ater" + }, + "waypoint": { + "lat": -24.98317, + "lon": 31.23485, + "name": "Calcutta" + }, + "question": "Is Calcutta approximately on the direct path from Barstow to Bir el Ater?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10398.2, + "via_waypoint_km": 23857.0, + "detour_km": 13458.8, + "detour_percent": 129.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Barstow", + " End: Bir el Ater", + " Waypoint: Calcutta", + "Step 2: Calculate direct distance", + " Start → End: 10398.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23857.0 km", + "Step 4: Calculate detour", + " Detour = 23857.0 - 10398.2 = 13458.8 km", + " Detour % = (13458.8 / 10398.2) × 100 = 129.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 129.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 18.01248, + "lon": -76.79928, + "name": "Half Way Tree" + }, + "end": { + "lat": 51.64355, + "lon": 39.41138, + "name": "Novaya Usman’" + }, + "waypoint": { + "lat": 23.90806, + "lon": 87.52773, + "name": "Siuri" + }, + "question": "Is Siuri approximately on the direct path from Half Way Tree to Novaya Usman’?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10123.3, + "via_waypoint_km": 20151.5, + "detour_km": 10028.2, + "detour_percent": 99.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Half Way Tree", + " End: Novaya Usman’", + " Waypoint: Siuri", + "Step 2: Calculate direct distance", + " Start → End: 10123.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20151.5 km", + "Step 4: Calculate detour", + " Detour = 20151.5 - 10123.3 = 10028.2 km", + " Detour % = (10028.2 / 10123.3) × 100 = 99.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 99.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 7.86, + "lon": 80.65167, + "name": "Dambulla" + }, + "end": { + "lat": 45.09778, + "lon": 43.43639, + "name": "Blagodarnyy" + }, + "waypoint": { + "lat": -18.59222, + "lon": -48.705, + "name": "Tupaciguara" + }, + "question": "Is Tupaciguara approximately on the direct path from Dambulla to Blagodarnyy?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5468.1, + "via_waypoint_km": 26046.8, + "detour_km": 20578.7, + "detour_percent": 376.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Dambulla", + " End: Blagodarnyy", + " Waypoint: Tupaciguara", + "Step 2: Calculate direct distance", + " Start → End: 5468.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26046.8 km", + "Step 4: Calculate detour", + " Detour = 26046.8 - 5468.1 = 20578.7 km", + " Detour % = (20578.7 / 5468.1) × 100 = 376.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 376.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -26.66008, + "lon": 153.09953, + "name": "Maroochydore" + }, + "end": { + "lat": 23.15794, + "lon": -82.27837, + "name": "Alamar" + }, + "waypoint": { + "lat": 28.31122, + "lon": -16.41276, + "name": "Güimar" + }, + "question": "Is Güimar approximately on the direct path from Maroochydore to Alamar?", + "ground_truth": { + "answer": false, + "direct_distance_km": 14459.6, + "via_waypoint_km": 25507.1, + "detour_km": 11047.5, + "detour_percent": 76.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Maroochydore", + " End: Alamar", + " Waypoint: Güimar", + "Step 2: Calculate direct distance", + " Start → End: 14459.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25507.1 km", + "Step 4: Calculate detour", + " Detour = 25507.1 - 14459.6 = 11047.5 km", + " Detour % = (11047.5 / 14459.6) × 100 = 76.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 76.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 31.68579, + "lon": 118.51008, + "name": "Ma’anshan" + }, + "end": { + "lat": 29.30883, + "lon": 78.51083, + "name": "Dhāmpur" + }, + "waypoint": { + "lat": -13.686, + "lon": -39.47803, + "name": "Wenceslau Guimarães" + }, + "question": "Is Wenceslau Guimarães approximately on the direct path from Ma’anshan to Dhāmpur?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3820.2, + "via_waypoint_km": 30452.4, + "detour_km": 26632.2, + "detour_percent": 697.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ma’anshan", + " End: Dhāmpur", + " Waypoint: Wenceslau Guimarães", + "Step 2: Calculate direct distance", + " Start → End: 3820.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 30452.4 km", + "Step 4: Calculate detour", + " Detour = 30452.4 - 3820.2 = 26632.2 km", + " Detour % = (26632.2 / 3820.2) × 100 = 697.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 697.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -3.42708, + "lon": 29.92463, + "name": "Gitega" + }, + "end": { + "lat": 26.43442, + "lon": 50.10326, + "name": "Dammam" + }, + "waypoint": { + "lat": 45.57139, + "lon": 19.64083, + "name": "Vrbas" + }, + "question": "Is Vrbas approximately on the direct path from Gitega to Dammam?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3966.5, + "via_waypoint_km": 8976.7, + "detour_km": 5010.1, + "detour_percent": 126.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Gitega", + " End: Dammam", + " Waypoint: Vrbas", + "Step 2: Calculate direct distance", + " Start → End: 3966.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 8976.7 km", + "Step 4: Calculate detour", + " Detour = 8976.7 - 3966.5 = 5010.1 km", + " Detour % = (5010.1 / 3966.5) × 100 = 126.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 126.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 35.41808, + "lon": 10.99475, + "name": "Ksour Essaf" + }, + "end": { + "lat": -17.82028, + "lon": 35.34417, + "name": "Caia" + }, + "waypoint": { + "lat": -27.71773, + "lon": -48.56266, + "name": "Freguesia do Ribeirao da Ilha" + }, + "question": "Is Freguesia do Ribeirao da Ilha approximately on the direct path from Ksour Essaf to Caia?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6452.6, + "via_waypoint_km": 17912.3, + "detour_km": 11459.7, + "detour_percent": 177.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ksour Essaf", + " End: Caia", + " Waypoint: Freguesia do Ribeirao da Ilha", + "Step 2: Calculate direct distance", + " Start → End: 6452.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17912.3 km", + "Step 4: Calculate detour", + " Detour = 17912.3 - 6452.6 = 11459.7 km", + " Detour % = (11459.7 / 6452.6) × 100 = 177.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 177.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -3.93938, + "lon": 39.74877, + "name": "Mtwapa" + }, + "end": { + "lat": 33.27732, + "lon": -7.23236, + "name": "El Gara" + }, + "waypoint": { + "lat": 22.30534, + "lon": 114.18936, + "name": "Whampoa Garden" + }, + "question": "Is Whampoa Garden approximately on the direct path from Mtwapa to El Gara?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6438.7, + "via_waypoint_km": 19842.3, + "detour_km": 13403.6, + "detour_percent": 208.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mtwapa", + " End: El Gara", + " Waypoint: Whampoa Garden", + "Step 2: Calculate direct distance", + " Start → End: 6438.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19842.3 km", + "Step 4: Calculate detour", + " Detour = 19842.3 - 6438.7 = 13403.6 km", + " Detour % = (13403.6 / 6438.7) × 100 = 208.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 208.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 29.86864, + "lon": 107.73027, + "name": "Sanhe" + }, + "end": { + "lat": 36.83915, + "lon": 28.76457, + "name": "Ortaca" + }, + "waypoint": { + "lat": -33.88834, + "lon": 151.12274, + "name": "Ashfield" + }, + "question": "Is Ashfield approximately on the direct path from Sanhe to Ortaca?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7165.6, + "via_waypoint_km": 23285.8, + "detour_km": 16120.2, + "detour_percent": 225.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sanhe", + " End: Ortaca", + " Waypoint: Ashfield", + "Step 2: Calculate direct distance", + " Start → End: 7165.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23285.8 km", + "Step 4: Calculate detour", + " Detour = 23285.8 - 7165.6 = 16120.2 km", + " Detour % = (16120.2 / 7165.6) × 100 = 225.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 225.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -16.56167, + "lon": -41.50333, + "name": "Itaobim" + }, + "end": { + "lat": 40.8126, + "lon": -73.88402, + "name": "Hunts Point" + }, + "waypoint": { + "lat": 32.6518, + "lon": -96.90834, + "name": "Duncanville" + }, + "question": "Is Duncanville approximately on the direct path from Itaobim to Hunts Point?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7201.4, + "via_waypoint_km": 10271.5, + "detour_km": 3070.1, + "detour_percent": 42.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Itaobim", + " End: Hunts Point", + " Waypoint: Duncanville", + "Step 2: Calculate direct distance", + " Start → End: 7201.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10271.5 km", + "Step 4: Calculate detour", + " Detour = 10271.5 - 7201.4 = 3070.1 km", + " Detour % = (3070.1 / 7201.4) × 100 = 42.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 42.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -35.9671, + "lon": -72.32248, + "name": "Cauquenes" + }, + "end": { + "lat": 39.10705, + "lon": -76.48496, + "name": "Lake Shore" + }, + "waypoint": { + "lat": -6.7, + "lon": 38.73333, + "name": "Mlandizi" + }, + "question": "Is Mlandizi approximately on the direct path from Cauquenes to Lake Shore?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8358.8, + "via_waypoint_km": 24065.4, + "detour_km": 15706.6, + "detour_percent": 187.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Cauquenes", + " End: Lake Shore", + " Waypoint: Mlandizi", + "Step 2: Calculate direct distance", + " Start → End: 8358.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24065.4 km", + "Step 4: Calculate detour", + " Detour = 24065.4 - 8358.8 = 15706.6 km", + " Detour % = (15706.6 / 8358.8) × 100 = 187.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 187.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.4701, + "lon": 2.62528, + "name": "El Affroun" + }, + "end": { + "lat": 27.44023, + "lon": 30.81712, + "name": "Al Qūşīyah" + }, + "waypoint": { + "lat": -15.80394, + "lon": 11.84485, + "name": "Tômbua" + }, + "question": "Is Tômbua approximately on the direct path from El Affroun to Al Qūşīyah?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2830.2, + "via_waypoint_km": 11118.4, + "detour_km": 8288.3, + "detour_percent": 292.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: El Affroun", + " End: Al Qūşīyah", + " Waypoint: Tômbua", + "Step 2: Calculate direct distance", + " Start → End: 2830.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11118.4 km", + "Step 4: Calculate detour", + " Detour = 11118.4 - 2830.2 = 8288.3 km", + " Detour % = (8288.3 / 2830.2) × 100 = 292.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 292.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -18.18527, + "lon": 31.55193, + "name": "Marondera" + }, + "end": { + "lat": -6.09528, + "lon": -39.4525, + "name": "Acopiara" + }, + "waypoint": { + "lat": 7.08971, + "lon": 171.38027, + "name": "Majuro" + }, + "question": "Is Majuro approximately on the direct path from Marondera to Acopiara?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7793.1, + "via_waypoint_km": 32105.2, + "detour_km": 24312.1, + "detour_percent": 312.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Marondera", + " End: Acopiara", + " Waypoint: Majuro", + "Step 2: Calculate direct distance", + " Start → End: 7793.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 32105.2 km", + "Step 4: Calculate detour", + " Detour = 32105.2 - 7793.1 = 24312.1 km", + " Detour % = (24312.1 / 7793.1) × 100 = 312.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 312.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.18333, + "lon": 139.71667, + "name": "Koga" + }, + "end": { + "lat": -6.53333, + "lon": 110.7, + "name": "Mlonggo" + }, + "waypoint": { + "lat": 56.65, + "lon": 23.71278, + "name": "Jelgava" + }, + "question": "Is Jelgava approximately on the direct path from Koga to Mlonggo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5632.0, + "via_waypoint_km": 18506.1, + "detour_km": 12874.1, + "detour_percent": 228.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Koga", + " End: Mlonggo", + " Waypoint: Jelgava", + "Step 2: Calculate direct distance", + " Start → End: 5632.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18506.1 km", + "Step 4: Calculate detour", + " Detour = 18506.1 - 5632.0 = 12874.1 km", + " Detour % = (12874.1 / 5632.0) × 100 = 228.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 228.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 45.03199, + "lon": 35.38153, + "name": "Feodosiya" + }, + "end": { + "lat": 10.98778, + "lon": -74.95472, + "name": "Puerto Colombia" + }, + "waypoint": { + "lat": -12.48602, + "lon": 130.9833, + "name": "Palmerston" + }, + "question": "Is Palmerston approximately on the direct path from Feodosiya to Puerto Colombia?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10685.7, + "via_waypoint_km": 28610.2, + "detour_km": 17924.4, + "detour_percent": 167.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Feodosiya", + " End: Puerto Colombia", + " Waypoint: Palmerston", + "Step 2: Calculate direct distance", + " Start → End: 10685.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 28610.2 km", + "Step 4: Calculate detour", + " Detour = 28610.2 - 10685.7 = 17924.4 km", + " Detour % = (17924.4 / 10685.7) × 100 = 167.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 167.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 8.94617, + "lon": -75.44275, + "name": "Sahagún" + }, + "end": { + "lat": 28.0662, + "lon": 75.81772, + "name": "Gothara" + }, + "waypoint": { + "lat": 42.73253, + "lon": -84.55553, + "name": "Lansing" + }, + "question": "Is Lansing approximately on the direct path from Sahagún to Gothara?", + "ground_truth": { + "answer": true, + "direct_distance_km": 14868.9, + "via_waypoint_km": 15750.8, + "detour_km": 881.9, + "detour_percent": 5.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sahagún", + " End: Gothara", + " Waypoint: Lansing", + "Step 2: Calculate direct distance", + " Start → End: 14868.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15750.8 km", + "Step 4: Calculate detour", + " Detour = 15750.8 - 14868.9 = 881.9 km", + " Detour % = (881.9 / 14868.9) × 100 = 5.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 5.9% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 43.76489, + "lon": -79.52198, + "name": "Black Creek" + }, + "end": { + "lat": 15.0853, + "lon": -90.49255, + "name": "Rabinal" + }, + "waypoint": { + "lat": 43.31856, + "lon": 5.40836, + "name": "Marseille 13" + }, + "question": "Is Marseille 13 approximately on the direct path from Black Creek to Rabinal?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3354.3, + "via_waypoint_km": 15845.1, + "detour_km": 12490.8, + "detour_percent": 372.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Black Creek", + " End: Rabinal", + " Waypoint: Marseille 13", + "Step 2: Calculate direct distance", + " Start → End: 3354.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15845.1 km", + "Step 4: Calculate detour", + " Detour = 15845.1 - 3354.3 = 12490.8 km", + " Detour % = (12490.8 / 3354.3) × 100 = 372.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 372.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.78333, + "lon": 22.61667, + "name": "Radzyń Podlaski" + }, + "end": { + "lat": 19.3832, + "lon": -69.8474, + "name": "Nagua" + }, + "waypoint": { + "lat": 38.94312, + "lon": -84.54411, + "name": "Independence" + }, + "question": "Is Independence approximately on the direct path from Radzyń Podlaski to Nagua?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8491.9, + "via_waypoint_km": 10310.1, + "detour_km": 1818.3, + "detour_percent": 21.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Radzyń Podlaski", + " End: Nagua", + " Waypoint: Independence", + "Step 2: Calculate direct distance", + " Start → End: 8491.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10310.1 km", + "Step 4: Calculate detour", + " Detour = 10310.1 - 8491.9 = 1818.3 km", + " Detour % = (1818.3 / 8491.9) × 100 = 21.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 21.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 26.90403, + "lon": 83.98087, + "name": "Padrauna" + }, + "end": { + "lat": 23.19014, + "lon": 94.06405, + "name": "Kalemyo" + }, + "waypoint": { + "lat": 20.14804, + "lon": 40.27224, + "name": "Al Līth" + }, + "question": "Is Al Līth approximately on the direct path from Padrauna to Kalemyo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1096.0, + "via_waypoint_km": 10035.2, + "detour_km": 8939.1, + "detour_percent": 815.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Padrauna", + " End: Kalemyo", + " Waypoint: Al Līth", + "Step 2: Calculate direct distance", + " Start → End: 1096.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10035.2 km", + "Step 4: Calculate detour", + " Detour = 10035.2 - 1096.0 = 8939.1 km", + " Detour % = (8939.1 / 1096.0) × 100 = 815.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 815.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.64043, + "lon": 32.89179, + "name": "Ermenek" + }, + "end": { + "lat": 36.85833, + "lon": 42.8501, + "name": "Simele" + }, + "waypoint": { + "lat": 42.39996, + "lon": -8.80698, + "name": "Sanxenxo" + }, + "question": "Is Sanxenxo approximately on the direct path from Ermenek to Simele?", + "ground_truth": { + "answer": false, + "direct_distance_km": 887.2, + "via_waypoint_km": 7995.0, + "detour_km": 7107.8, + "detour_percent": 801.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ermenek", + " End: Simele", + " Waypoint: Sanxenxo", + "Step 2: Calculate direct distance", + " Start → End: 887.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 7995.0 km", + "Step 4: Calculate detour", + " Detour = 7995.0 - 887.2 = 7107.8 km", + " Detour % = (7107.8 / 887.2) × 100 = 801.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 801.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 23.59311, + "lon": 90.14251, + "name": "Dohār" + }, + "end": { + "lat": 19.41018, + "lon": 109.55024, + "name": "Nanfeng" + }, + "waypoint": { + "lat": 34.8988, + "lon": 108.95056, + "name": "Tongchuan" + }, + "question": "Is Tongchuan approximately on the direct path from Dohār to Nanfeng?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2059.1, + "via_waypoint_km": 3932.8, + "detour_km": 1873.7, + "detour_percent": 91.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Dohār", + " End: Nanfeng", + " Waypoint: Tongchuan", + "Step 2: Calculate direct distance", + " Start → End: 2059.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 3932.8 km", + "Step 4: Calculate detour", + " Detour = 3932.8 - 2059.1 = 1873.7 km", + " Detour % = (1873.7 / 2059.1) × 100 = 91.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 91.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 42.86663, + "lon": -106.31308, + "name": "Casper" + }, + "end": { + "lat": -25.70866, + "lon": 31.51025, + "name": "Schoemansdal" + }, + "waypoint": { + "lat": 25.78953, + "lon": 55.9432, + "name": "Ras Al Khaimah City" + }, + "question": "Is Ras Al Khaimah City approximately on the direct path from Casper to Schoemansdal?", + "ground_truth": { + "answer": false, + "direct_distance_km": 15753.5, + "via_waypoint_km": 18465.7, + "detour_km": 2712.1, + "detour_percent": 17.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Casper", + " End: Schoemansdal", + " Waypoint: Ras Al Khaimah City", + "Step 2: Calculate direct distance", + " Start → End: 15753.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18465.7 km", + "Step 4: Calculate detour", + " Detour = 18465.7 - 15753.5 = 2712.1 km", + " Detour % = (2712.1 / 15753.5) × 100 = 17.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 17.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 35.85451, + "lon": 5.29053, + "name": "Salah Bey" + }, + "end": { + "lat": 45.64789, + "lon": 10.26487, + "name": "Lumezzane" + }, + "waypoint": { + "lat": 42.99812, + "lon": -78.18752, + "name": "Batavia" + }, + "question": "Is Batavia approximately on the direct path from Salah Bey to Lumezzane?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1166.2, + "via_waypoint_km": 13574.4, + "detour_km": 12408.2, + "detour_percent": 1064.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Salah Bey", + " End: Lumezzane", + " Waypoint: Batavia", + "Step 2: Calculate direct distance", + " Start → End: 1166.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13574.4 km", + "Step 4: Calculate detour", + " Detour = 13574.4 - 1166.2 = 12408.2 km", + " Detour % = (12408.2 / 1166.2) × 100 = 1064.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1064.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -40.35636, + "lon": 175.61113, + "name": "Palmerston North" + }, + "end": { + "lat": 27.80429, + "lon": 114.93335, + "name": "Xinyu" + }, + "waypoint": { + "lat": 48.2019, + "lon": 16.38792, + "name": "Landstraße" + }, + "question": "Is Landstraße approximately on the direct path from Palmerston North to Xinyu?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9828.8, + "via_waypoint_km": 26484.4, + "detour_km": 16655.6, + "detour_percent": 169.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Palmerston North", + " End: Xinyu", + " Waypoint: Landstraße", + "Step 2: Calculate direct distance", + " Start → End: 9828.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26484.4 km", + "Step 4: Calculate detour", + " Detour = 26484.4 - 9828.8 = 16655.6 km", + " Detour % = (16655.6 / 9828.8) × 100 = 169.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 169.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -16.05917, + "lon": -48.03944, + "name": "Novo Gama" + }, + "end": { + "lat": 15.48586, + "lon": 120.96648, + "name": "Cabanatuan City" + }, + "waypoint": { + "lat": 49.21392, + "lon": -122.93992, + "name": "Edmonds" + }, + "question": "Is Edmonds approximately on the direct path from Novo Gama to Cabanatuan City?", + "ground_truth": { + "answer": false, + "direct_distance_km": 18837.0, + "via_waypoint_km": 20784.3, + "detour_km": 1947.3, + "detour_percent": 10.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Novo Gama", + " End: Cabanatuan City", + " Waypoint: Edmonds", + "Step 2: Calculate direct distance", + " Start → End: 18837.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20784.3 km", + "Step 4: Calculate detour", + " Detour = 20784.3 - 18837.0 = 1947.3 km", + " Detour % = (1947.3 / 18837.0) × 100 = 10.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 10.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 50.01413, + "lon": 32.99975, + "name": "Lubny" + }, + "end": { + "lat": 50.96545, + "lon": 6.95314, + "name": "Nippes" + }, + "waypoint": { + "lat": 49.10107, + "lon": -122.65883, + "name": "Langley" + }, + "question": "Is Langley approximately on the direct path from Lubny to Nippes?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1836.1, + "via_waypoint_km": 16655.7, + "detour_km": 14819.6, + "detour_percent": 807.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Lubny", + " End: Nippes", + " Waypoint: Langley", + "Step 2: Calculate direct distance", + " Start → End: 1836.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16655.7 km", + "Step 4: Calculate detour", + " Detour = 16655.7 - 1836.1 = 14819.6 km", + " Detour % = (14819.6 / 1836.1) × 100 = 807.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 807.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 37.38422, + "lon": 121.60859, + "name": "Ninghai" + }, + "end": { + "lat": 26.18872, + "lon": 73.02649, + "name": "Sāngaria" + }, + "waypoint": { + "lat": 54.51634, + "lon": -128.60345, + "name": "Terrace" + }, + "question": "Is Terrace approximately on the direct path from Ninghai to Sāngaria?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4703.4, + "via_waypoint_km": 18614.1, + "detour_km": 13910.8, + "detour_percent": 295.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ninghai", + " End: Sāngaria", + " Waypoint: Terrace", + "Step 2: Calculate direct distance", + " Start → End: 4703.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18614.1 km", + "Step 4: Calculate detour", + " Detour = 18614.1 - 4703.4 = 13910.8 km", + " Detour % = (13910.8 / 4703.4) × 100 = 295.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 295.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -22.04972, + "lon": -42.67472, + "name": "Sumidouro" + }, + "end": { + "lat": -1.46771, + "lon": 34.52279, + "name": "Matongo" + }, + "waypoint": { + "lat": 10.0477, + "lon": 78.74719, + "name": "Sankarapatti" + }, + "question": "Is Sankarapatti approximately on the direct path from Sumidouro to Matongo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8627.4, + "via_waypoint_km": 18710.8, + "detour_km": 10083.4, + "detour_percent": 116.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sumidouro", + " End: Matongo", + " Waypoint: Sankarapatti", + "Step 2: Calculate direct distance", + " Start → End: 8627.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18710.8 km", + "Step 4: Calculate detour", + " Detour = 18710.8 - 8627.4 = 10083.4 km", + " Detour % = (10083.4 / 8627.4) × 100 = 116.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 116.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 43.69332, + "lon": 10.84119, + "name": "San Miniato Basso" + }, + "end": { + "lat": 7.01667, + "lon": 39.98333, + "name": "Goba" + }, + "waypoint": { + "lat": -5.80917, + "lon": -61.30028, + "name": "Manicoré" + }, + "question": "Is Manicoré approximately on the direct path from San Miniato Basso to Goba?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4967.0, + "via_waypoint_km": 20370.5, + "detour_km": 15403.5, + "detour_percent": 310.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: San Miniato Basso", + " End: Goba", + " Waypoint: Manicoré", + "Step 2: Calculate direct distance", + " Start → End: 4967.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20370.5 km", + "Step 4: Calculate detour", + " Detour = 20370.5 - 4967.0 = 15403.5 km", + " Detour % = (15403.5 / 4967.0) × 100 = 310.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 310.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.405, + "lon": -3.87835, + "name": "Boadilla del Monte" + }, + "end": { + "lat": -41.05584, + "lon": 145.90375, + "name": "Burnie" + }, + "waypoint": { + "lat": 11.85, + "lon": 38.01667, + "name": "Debre Tabor" + }, + "question": "Is Debre Tabor approximately on the direct path from Boadilla del Monte to Burnie?", + "ground_truth": { + "answer": true, + "direct_distance_km": 17480.6, + "via_waypoint_km": 17539.3, + "detour_km": 58.7, + "detour_percent": 0.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Boadilla del Monte", + " End: Burnie", + " Waypoint: Debre Tabor", + "Step 2: Calculate direct distance", + " Start → End: 17480.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17539.3 km", + "Step 4: Calculate detour", + " Detour = 17539.3 - 17480.6 = 58.7 km", + " Detour % = (58.7 / 17480.6) × 100 = 0.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.3% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 17.2806, + "lon": 43.13735, + "name": "Fayfā’" + }, + "end": { + "lat": 41.83333, + "lon": 59.65, + "name": "Yylanly" + }, + "waypoint": { + "lat": -18.96667, + "lon": 47.73333, + "name": "Alarobia" + }, + "question": "Is Alarobia approximately on the direct path from Fayfā’ to Yylanly?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3150.0, + "via_waypoint_km": 10932.7, + "detour_km": 7782.6, + "detour_percent": 247.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Fayfā’", + " End: Yylanly", + " Waypoint: Alarobia", + "Step 2: Calculate direct distance", + " Start → End: 3150.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10932.7 km", + "Step 4: Calculate detour", + " Detour = 10932.7 - 3150.0 = 7782.6 km", + " Detour % = (7782.6 / 3150.0) × 100 = 247.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 247.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 10.10695, + "lon": 76.47366, + "name": "Perumbavoor" + }, + "end": { + "lat": 33.93029, + "lon": -118.21146, + "name": "Lynwood" + }, + "waypoint": { + "lat": -27.63461, + "lon": -52.2754, + "name": "Erechim" + }, + "question": "Is Erechim approximately on the direct path from Perumbavoor to Lynwood?", + "ground_truth": { + "answer": false, + "direct_distance_km": 14878.4, + "via_waypoint_km": 24075.0, + "detour_km": 9196.6, + "detour_percent": 61.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Perumbavoor", + " End: Lynwood", + " Waypoint: Erechim", + "Step 2: Calculate direct distance", + " Start → End: 14878.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24075.0 km", + "Step 4: Calculate detour", + " Detour = 24075.0 - 14878.4 = 9196.6 km", + " Detour % = (9196.6 / 14878.4) × 100 = 61.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 61.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 22.83474, + "lon": -105.77766, + "name": "Escuinapa de Hidalgo" + }, + "end": { + "lat": 21.54585, + "lon": -77.26504, + "name": "Nuevitas" + }, + "waypoint": { + "lat": 22.33719, + "lon": 114.13856, + "name": "Mei Foo" + }, + "question": "Is Mei Foo approximately on the direct path from Escuinapa de Hidalgo to Nuevitas?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2934.6, + "via_waypoint_km": 28371.5, + "detour_km": 25436.9, + "detour_percent": 866.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Escuinapa de Hidalgo", + " End: Nuevitas", + " Waypoint: Mei Foo", + "Step 2: Calculate direct distance", + " Start → End: 2934.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 28371.5 km", + "Step 4: Calculate detour", + " Detour = 28371.5 - 2934.6 = 25436.9 km", + " Detour % = (25436.9 / 2934.6) × 100 = 866.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 866.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 47.61038, + "lon": -122.20068, + "name": "Bellevue" + }, + "end": { + "lat": -37.70988, + "lon": 144.75483, + "name": "Taylors Hill" + }, + "waypoint": { + "lat": 48.02708, + "lon": 40.12305, + "name": "Zverevo" + }, + "question": "Is Zverevo approximately on the direct path from Bellevue to Taylors Hill?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13197.9, + "via_waypoint_km": 23259.6, + "detour_km": 10061.8, + "detour_percent": 76.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bellevue", + " End: Taylors Hill", + " Waypoint: Zverevo", + "Step 2: Calculate direct distance", + " Start → End: 13197.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23259.6 km", + "Step 4: Calculate detour", + " Detour = 23259.6 - 13197.9 = 10061.8 km", + " Detour % = (10061.8 / 13197.9) × 100 = 76.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 76.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 50.2813, + "lon": 19.56503, + "name": "Olkusz" + }, + "end": { + "lat": 34.72224, + "lon": 5.37845, + "name": "Tolga" + }, + "waypoint": { + "lat": -2.24444, + "lon": -49.49583, + "name": "Cametá" + }, + "question": "Is Cametá approximately on the direct path from Olkusz to Tolga?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2076.8, + "via_waypoint_km": 15769.3, + "detour_km": 13692.5, + "detour_percent": 659.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Olkusz", + " End: Tolga", + " Waypoint: Cametá", + "Step 2: Calculate direct distance", + " Start → End: 2076.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15769.3 km", + "Step 4: Calculate detour", + " Detour = 15769.3 - 2076.8 = 13692.5 km", + " Detour % = (13692.5 / 2076.8) × 100 = 659.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 659.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 38.74422, + "lon": -90.30539, + "name": "Ferguson" + }, + "end": { + "lat": 11.97634, + "lon": 75.41675, + "name": "Kolaccheri" + }, + "waypoint": { + "lat": 31.27133, + "lon": 30.78617, + "name": "Sīdī Sālim" + }, + "question": "Is Sīdī Sālim approximately on the direct path from Ferguson to Kolaccheri?", + "ground_truth": { + "answer": true, + "direct_distance_km": 14183.6, + "via_waypoint_km": 15174.1, + "detour_km": 990.5, + "detour_percent": 7.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ferguson", + " End: Kolaccheri", + " Waypoint: Sīdī Sālim", + "Step 2: Calculate direct distance", + " Start → End: 14183.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15174.1 km", + "Step 4: Calculate detour", + " Detour = 15174.1 - 14183.6 = 990.5 km", + " Detour % = (990.5 / 14183.6) × 100 = 7.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 7.0% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 34.63915, + "lon": -120.45794, + "name": "Lompoc" + }, + "end": { + "lat": 14.71889, + "lon": -90.64417, + "name": "San Juan Sacatepéquez" + }, + "waypoint": { + "lat": 50.46321, + "lon": 48.14161, + "name": "Novouzensk" + }, + "question": "Is Novouzensk approximately on the direct path from Lompoc to San Juan Sacatepéquez?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3713.9, + "via_waypoint_km": 22216.9, + "detour_km": 18503.0, + "detour_percent": 498.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Lompoc", + " End: San Juan Sacatepéquez", + " Waypoint: Novouzensk", + "Step 2: Calculate direct distance", + " Start → End: 3713.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22216.9 km", + "Step 4: Calculate detour", + " Detour = 22216.9 - 3713.9 = 18503.0 km", + " Detour % = (18503.0 / 3713.9) × 100 = 498.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 498.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 33.66198, + "lon": -112.34127, + "name": "Sun City West" + }, + "end": { + "lat": 47.90248, + "lon": 1.90407, + "name": "Orléans" + }, + "waypoint": { + "lat": 30.61618, + "lon": 31.73514, + "name": "Al Qurayn" + }, + "question": "Is Al Qurayn approximately on the direct path from Sun City West to Orléans?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8840.5, + "via_waypoint_km": 15108.6, + "detour_km": 6268.1, + "detour_percent": 70.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sun City West", + " End: Orléans", + " Waypoint: Al Qurayn", + "Step 2: Calculate direct distance", + " Start → End: 8840.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15108.6 km", + "Step 4: Calculate detour", + " Detour = 15108.6 - 8840.5 = 6268.1 km", + " Detour % = (6268.1 / 8840.5) × 100 = 70.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 70.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 14.96807, + "lon": -91.76172, + "name": "San Pedro Sacatepéquez" + }, + "end": { + "lat": 35.208, + "lon": 137.03, + "name": "Owariasahi" + }, + "waypoint": { + "lat": -4.25528, + "lon": -43.94056, + "name": "Timbiras" + }, + "question": "Is Timbiras approximately on the direct path from San Pedro Sacatepéquez to Owariasahi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 12429.8, + "via_waypoint_km": 22256.0, + "detour_km": 9826.2, + "detour_percent": 79.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: San Pedro Sacatepéquez", + " End: Owariasahi", + " Waypoint: Timbiras", + "Step 2: Calculate direct distance", + " Start → End: 12429.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22256.0 km", + "Step 4: Calculate detour", + " Detour = 22256.0 - 12429.8 = 9826.2 km", + " Detour % = (9826.2 / 12429.8) × 100 = 79.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 79.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -26.72528, + "lon": -53.51806, + "name": "São Miguel d'Oeste" + }, + "end": { + "lat": -20.25777, + "lon": 57.74976, + "name": "Bel Air Rivière Sèche" + }, + "waypoint": { + "lat": 53.45801, + "lon": -2.20104, + "name": "Longsight" + }, + "question": "Is Longsight approximately on the direct path from São Miguel d'Oeste to Bel Air Rivière Sèche?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10955.4, + "via_waypoint_km": 20189.7, + "detour_km": 9234.3, + "detour_percent": 84.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: São Miguel d'Oeste", + " End: Bel Air Rivière Sèche", + " Waypoint: Longsight", + "Step 2: Calculate direct distance", + " Start → End: 10955.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20189.7 km", + "Step 4: Calculate detour", + " Detour = 20189.7 - 10955.4 = 9234.3 km", + " Detour % = (9234.3 / 10955.4) × 100 = 84.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 84.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 6.41667, + "lon": 39.85, + "name": "Mena" + }, + "end": { + "lat": -33.73257, + "lon": -70.74281, + "name": "Buin" + }, + "waypoint": { + "lat": 26.33863, + "lon": -80.1869, + "name": "Sandalfoot Cove" + }, + "question": "Is Sandalfoot Cove approximately on the direct path from Mena to Buin?", + "ground_truth": { + "answer": false, + "direct_distance_km": 12304.2, + "via_waypoint_km": 19356.5, + "detour_km": 7052.3, + "detour_percent": 57.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mena", + " End: Buin", + " Waypoint: Sandalfoot Cove", + "Step 2: Calculate direct distance", + " Start → End: 12304.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19356.5 km", + "Step 4: Calculate detour", + " Detour = 19356.5 - 12304.2 = 7052.3 km", + " Detour % = (7052.3 / 12304.2) × 100 = 57.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 57.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 21.74015, + "lon": 70.28256, + "name": "Upleta" + }, + "end": { + "lat": 54.96209, + "lon": -1.60168, + "name": "Gateshead" + }, + "waypoint": { + "lat": 5.46779, + "lon": -3.20711, + "name": "Aboisso" + }, + "question": "Is Aboisso approximately on the direct path from Upleta to Gateshead?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6896.8, + "via_waypoint_km": 13584.6, + "detour_km": 6687.8, + "detour_percent": 97.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Upleta", + " End: Gateshead", + " Waypoint: Aboisso", + "Step 2: Calculate direct distance", + " Start → End: 6896.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13584.6 km", + "Step 4: Calculate detour", + " Detour = 13584.6 - 6896.8 = 6687.8 km", + " Detour % = (6687.8 / 6896.8) × 100 = 97.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 97.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 50.91234, + "lon": -1.30076, + "name": "Hedge End" + }, + "end": { + "lat": 48.858, + "lon": 2.38147, + "name": "Roquette" + }, + "waypoint": { + "lat": 29.43736, + "lon": 90.14849, + "name": "Nyêmo" + }, + "question": "Is Nyêmo approximately on the direct path from Hedge End to Roquette?", + "ground_truth": { + "answer": false, + "direct_distance_km": 348.9, + "via_waypoint_km": 15047.6, + "detour_km": 14698.7, + "detour_percent": 4213.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Hedge End", + " End: Roquette", + " Waypoint: Nyêmo", + "Step 2: Calculate direct distance", + " Start → End: 348.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15047.6 km", + "Step 4: Calculate detour", + " Detour = 15047.6 - 348.9 = 14698.7 km", + " Detour % = (14698.7 / 348.9) × 100 = 4213.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 4213.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 4.73614, + "lon": 6.86236, + "name": "Buguma" + }, + "end": { + "lat": 42.29669, + "lon": -89.62123, + "name": "Freeport" + }, + "waypoint": { + "lat": 26.50823, + "lon": 87.01194, + "name": "Bīrpur" + }, + "question": "Is Bīrpur approximately on the direct path from Buguma to Freeport?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10183.9, + "via_waypoint_km": 21149.9, + "detour_km": 10966.1, + "detour_percent": 107.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Buguma", + " End: Freeport", + " Waypoint: Bīrpur", + "Step 2: Calculate direct distance", + " Start → End: 10183.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21149.9 km", + "Step 4: Calculate detour", + " Detour = 21149.9 - 10183.9 = 10966.1 km", + " Detour % = (10966.1 / 10183.9) × 100 = 107.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 107.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 52.26038, + "lon": 10.36491, + "name": "Vechelde" + }, + "end": { + "lat": 40.79677, + "lon": -74.48154, + "name": "Morristown" + }, + "waypoint": { + "lat": 42.59981, + "lon": -71.36728, + "name": "Chelmsford" + }, + "question": "Is Chelmsford approximately on the direct path from Vechelde to Morristown?", + "ground_truth": { + "answer": true, + "direct_distance_km": 6233.7, + "via_waypoint_km": 6234.5, + "detour_km": 0.8, + "detour_percent": 0.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Vechelde", + " End: Morristown", + " Waypoint: Chelmsford", + "Step 2: Calculate direct distance", + " Start → End: 6233.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 6234.5 km", + "Step 4: Calculate detour", + " Detour = 6234.5 - 6233.7 = 0.8 km", + " Detour % = (0.8 / 6233.7) × 100 = 0.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.0% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.99313, + "lon": 4.47865, + "name": "Berkel en Rodenrijs" + }, + "end": { + "lat": 1.28333, + "lon": 103.83278, + "name": "Tiong Bahru Estate" + }, + "waypoint": { + "lat": 32.45943, + "lon": 35.30086, + "name": "Janīn" + }, + "question": "Is Janīn approximately on the direct path from Berkel en Rodenrijs to Tiong Bahru Estate?", + "ground_truth": { + "answer": true, + "direct_distance_km": 10533.2, + "via_waypoint_km": 11224.2, + "detour_km": 691.0, + "detour_percent": 6.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Berkel en Rodenrijs", + " End: Tiong Bahru Estate", + " Waypoint: Janīn", + "Step 2: Calculate direct distance", + " Start → End: 10533.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11224.2 km", + "Step 4: Calculate detour", + " Detour = 11224.2 - 10533.2 = 691.0 km", + " Detour % = (691.0 / 10533.2) × 100 = 6.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 6.6% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 41.42447, + "lon": -91.04321, + "name": "Muscatine" + }, + "end": { + "lat": 36.26468, + "lon": 68.01551, + "name": "Aībak" + }, + "waypoint": { + "lat": 7.13333, + "lon": -7.18333, + "name": "Bléniméouin" + }, + "question": "Is Bléniméouin approximately on the direct path from Muscatine to Aībak?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11117.1, + "via_waypoint_km": 17186.4, + "detour_km": 6069.2, + "detour_percent": 54.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Muscatine", + " End: Aībak", + " Waypoint: Bléniméouin", + "Step 2: Calculate direct distance", + " Start → End: 11117.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17186.4 km", + "Step 4: Calculate detour", + " Detour = 17186.4 - 11117.1 = 6069.2 km", + " Detour % = (6069.2 / 11117.1) × 100 = 54.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 54.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -3.35, + "lon": 35.85, + "name": "Mto wa Mbu" + }, + "end": { + "lat": -2.6832, + "lon": 111.6259, + "name": "Pangkalanbuun" + }, + "waypoint": { + "lat": -0.86291, + "lon": 134.06402, + "name": "Manokwari" + }, + "question": "Is Manokwari approximately on the direct path from Mto wa Mbu to Pangkalanbuun?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8412.4, + "via_waypoint_km": 13415.5, + "detour_km": 5003.0, + "detour_percent": 59.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mto wa Mbu", + " End: Pangkalanbuun", + " Waypoint: Manokwari", + "Step 2: Calculate direct distance", + " Start → End: 8412.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13415.5 km", + "Step 4: Calculate detour", + " Detour = 13415.5 - 8412.4 = 5003.0 km", + " Detour % = (5003.0 / 8412.4) × 100 = 59.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 59.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -23.69389, + "lon": -46.565, + "name": "São Bernardo do Campo" + }, + "end": { + "lat": 40.23861, + "lon": 33.03222, + "name": "Çubuk" + }, + "waypoint": { + "lat": 6.99041, + "lon": -5.7442, + "name": "Bouaflé" + }, + "question": "Is Bouaflé approximately on the direct path from São Bernardo do Campo to Çubuk?", + "ground_truth": { + "answer": true, + "direct_distance_km": 10859.8, + "via_waypoint_km": 10927.8, + "detour_km": 68.0, + "detour_percent": 0.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: São Bernardo do Campo", + " End: Çubuk", + " Waypoint: Bouaflé", + "Step 2: Calculate direct distance", + " Start → End: 10859.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10927.8 km", + "Step 4: Calculate detour", + " Detour = 10927.8 - 10859.8 = 68.0 km", + " Detour % = (68.0 / 10859.8) × 100 = 0.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.6% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 17.80787, + "lon": -97.77956, + "name": "Ciudad de Huajuapan de León" + }, + "end": { + "lat": 51.37457, + "lon": 0.09785, + "name": "Orpington" + }, + "waypoint": { + "lat": 30.28011, + "lon": 31.20531, + "name": "Qahā" + }, + "question": "Is Qahā approximately on the direct path from Ciudad de Huajuapan de León to Orpington?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9000.1, + "via_waypoint_km": 15842.6, + "detour_km": 6842.5, + "detour_percent": 76.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ciudad de Huajuapan de León", + " End: Orpington", + " Waypoint: Qahā", + "Step 2: Calculate direct distance", + " Start → End: 9000.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15842.6 km", + "Step 4: Calculate detour", + " Detour = 15842.6 - 9000.1 = 6842.5 km", + " Detour % = (6842.5 / 9000.1) × 100 = 76.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 76.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 60.38244, + "lon": 24.751, + "name": "Klaukkala" + }, + "end": { + "lat": 51.68033, + "lon": 7.82089, + "name": "Hamm" + }, + "waypoint": { + "lat": 24.74182, + "lon": 67.58534, + "name": "Gharo" + }, + "question": "Is Gharo approximately on the direct path from Klaukkala to Hamm?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1421.6, + "via_waypoint_km": 10942.0, + "detour_km": 9520.3, + "detour_percent": 669.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Klaukkala", + " End: Hamm", + " Waypoint: Gharo", + "Step 2: Calculate direct distance", + " Start → End: 1421.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10942.0 km", + "Step 4: Calculate detour", + " Detour = 10942.0 - 1421.6 = 9520.3 km", + " Detour % = (9520.3 / 1421.6) × 100 = 669.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 669.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.09923, + "lon": -83.11408, + "name": "Dublin" + }, + "end": { + "lat": -7.58333, + "lon": 31.26667, + "name": "Chala" + }, + "waypoint": { + "lat": -22.88333, + "lon": -43.10361, + "name": "Niterói" + }, + "question": "Is Niterói approximately on the direct path from Dublin to Chala?", + "ground_truth": { + "answer": false, + "direct_distance_km": 12615.4, + "via_waypoint_km": 16221.6, + "detour_km": 3606.2, + "detour_percent": 28.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Dublin", + " End: Chala", + " Waypoint: Niterói", + "Step 2: Calculate direct distance", + " Start → End: 12615.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16221.6 km", + "Step 4: Calculate detour", + " Detour = 16221.6 - 12615.4 = 3606.2 km", + " Detour % = (3606.2 / 12615.4) × 100 = 28.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 28.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -18.01465, + "lon": -70.25362, + "name": "Tacna" + }, + "end": { + "lat": 52.29917, + "lon": 5.24167, + "name": "Huizen" + }, + "waypoint": { + "lat": 38.56556, + "lon": 125.42722, + "name": "Ŭnch’ŏn-ŭp" + }, + "question": "Is Ŭnch’ŏn-ŭp approximately on the direct path from Tacna to Huizen?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10639.5, + "via_waypoint_km": 25650.4, + "detour_km": 15010.8, + "detour_percent": 141.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tacna", + " End: Huizen", + " Waypoint: Ŭnch’ŏn-ŭp", + "Step 2: Calculate direct distance", + " Start → End: 10639.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25650.4 km", + "Step 4: Calculate detour", + " Detour = 25650.4 - 10639.5 = 15010.8 km", + " Detour % = (15010.8 / 10639.5) × 100 = 141.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 141.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.35, + "lon": 140.1, + "name": "Iwase" + }, + "end": { + "lat": 48.24896, + "lon": 11.65101, + "name": "Garching" + }, + "waypoint": { + "lat": 13.9044, + "lon": -10.0986, + "name": "Mahina" + }, + "question": "Is Mahina approximately on the direct path from Iwase to Garching?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9313.6, + "via_waypoint_km": 17922.7, + "detour_km": 8609.1, + "detour_percent": 92.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Iwase", + " End: Garching", + " Waypoint: Mahina", + "Step 2: Calculate direct distance", + " Start → End: 9313.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17922.7 km", + "Step 4: Calculate detour", + " Detour = 17922.7 - 9313.6 = 8609.1 km", + " Detour % = (8609.1 / 9313.6) × 100 = 92.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 92.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 9.9453, + "lon": -84.0669, + "name": "Calle Blancos" + }, + "end": { + "lat": 40.86652, + "lon": -124.08284, + "name": "Arcata" + }, + "waypoint": { + "lat": 37.34488, + "lon": 79.7681, + "name": "Tuwaite" + }, + "question": "Is Tuwaite approximately on the direct path from Calle Blancos to Arcata?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5213.3, + "via_waypoint_km": 25479.1, + "detour_km": 20265.8, + "detour_percent": 388.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Calle Blancos", + " End: Arcata", + " Waypoint: Tuwaite", + "Step 2: Calculate direct distance", + " Start → End: 5213.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25479.1 km", + "Step 4: Calculate detour", + " Detour = 25479.1 - 5213.3 = 20265.8 km", + " Detour % = (20265.8 / 5213.3) × 100 = 388.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 388.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 18.02158, + "lon": 33.98299, + "name": "Berber" + }, + "end": { + "lat": 56.19514, + "lon": -3.17316, + "name": "Glenrothes" + }, + "waypoint": { + "lat": -10.66722, + "lon": -39.49917, + "name": "Cansanção" + }, + "question": "Is Cansanção approximately on the direct path from Berber to Glenrothes?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5254.5, + "via_waypoint_km": 16824.9, + "detour_km": 11570.4, + "detour_percent": 220.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Berber", + " End: Glenrothes", + " Waypoint: Cansanção", + "Step 2: Calculate direct distance", + " Start → End: 5254.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16824.9 km", + "Step 4: Calculate detour", + " Detour = 16824.9 - 5254.5 = 11570.4 km", + " Detour % = (11570.4 / 5254.5) × 100 = 220.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 220.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 42.11585, + "lon": 48.19192, + "name": "Dagestanskiye Ogni" + }, + "end": { + "lat": -22.33028, + "lon": -47.1725, + "name": "Conchal" + }, + "waypoint": { + "lat": 20.70419, + "lon": 83.49029, + "name": "Balāngīr" + }, + "question": "Is Balāngīr approximately on the direct path from Dagestanskiye Ogni to Conchal?", + "ground_truth": { + "answer": false, + "direct_distance_km": 12075.7, + "via_waypoint_km": 18994.4, + "detour_km": 6918.7, + "detour_percent": 57.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Dagestanskiye Ogni", + " End: Conchal", + " Waypoint: Balāngīr", + "Step 2: Calculate direct distance", + " Start → End: 12075.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18994.4 km", + "Step 4: Calculate detour", + " Detour = 18994.4 - 12075.7 = 6918.7 km", + " Detour % = (6918.7 / 12075.7) × 100 = 57.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 57.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -22.72528, + "lon": -47.64917, + "name": "Piracicaba" + }, + "end": { + "lat": -9.29782, + "lon": 14.91162, + "name": "N'dalatando" + }, + "waypoint": { + "lat": 45.59951, + "lon": 9.12509, + "name": "Limbiate" + }, + "question": "Is Limbiate approximately on the direct path from Piracicaba to N'dalatando?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6804.3, + "via_waypoint_km": 15644.3, + "detour_km": 8840.0, + "detour_percent": 129.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Piracicaba", + " End: N'dalatando", + " Waypoint: Limbiate", + "Step 2: Calculate direct distance", + " Start → End: 6804.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15644.3 km", + "Step 4: Calculate detour", + " Detour = 15644.3 - 6804.3 = 8840.0 km", + " Detour % = (8840.0 / 6804.3) × 100 = 129.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 129.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 8.33869, + "lon": 77.15422, + "name": "Pārassāla" + }, + "end": { + "lat": 2.35, + "lon": 102.11667, + "name": "Kampong Masjid Tanah" + }, + "waypoint": { + "lat": 39.6895, + "lon": -84.16883, + "name": "Kettering" + }, + "question": "Is Kettering approximately on the direct path from Pārassāla to Kampong Masjid Tanah?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2841.3, + "via_waypoint_km": 29635.5, + "detour_km": 26794.2, + "detour_percent": 943.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Pārassāla", + " End: Kampong Masjid Tanah", + " Waypoint: Kettering", + "Step 2: Calculate direct distance", + " Start → End: 2841.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 29635.5 km", + "Step 4: Calculate detour", + " Detour = 29635.5 - 2841.3 = 26794.2 km", + " Detour % = (26794.2 / 2841.3) × 100 = 943.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 943.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 24.679, + "lon": 95.07416, + "name": "Tatkon" + }, + "end": { + "lat": 53.5441, + "lon": 10.20048, + "name": "Glinde" + }, + "waypoint": { + "lat": 24.90652, + "lon": 32.88563, + "name": "Ar Radīsīyah Qiblī" + }, + "question": "Is Ar Radīsīyah Qiblī approximately on the direct path from Tatkon to Glinde?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7496.1, + "via_waypoint_km": 9918.8, + "detour_km": 2422.7, + "detour_percent": 32.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tatkon", + " End: Glinde", + " Waypoint: Ar Radīsīyah Qiblī", + "Step 2: Calculate direct distance", + " Start → End: 7496.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9918.8 km", + "Step 4: Calculate detour", + " Detour = 9918.8 - 7496.1 = 2422.7 km", + " Detour % = (2422.7 / 7496.1) × 100 = 32.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 32.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 26.13, + "lon": 50.555, + "name": "Ar Rifā‘" + }, + "end": { + "lat": 22.3236, + "lon": 114.17938, + "name": "Prince Edward" + }, + "waypoint": { + "lat": -3.32083, + "lon": -45.01083, + "name": "Cajari" + }, + "question": "Is Cajari approximately on the direct path from Ar Rifā‘ to Prince Edward?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6401.7, + "via_waypoint_km": 27658.6, + "detour_km": 21256.9, + "detour_percent": 332.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ar Rifā‘", + " End: Prince Edward", + " Waypoint: Cajari", + "Step 2: Calculate direct distance", + " Start → End: 6401.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27658.6 km", + "Step 4: Calculate detour", + " Detour = 27658.6 - 6401.7 = 21256.9 km", + " Detour % = (21256.9 / 6401.7) × 100 = 332.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 332.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -9.97472, + "lon": -67.81, + "name": "Rio Branco" + }, + "end": { + "lat": 47.17266, + "lon": 19.79952, + "name": "Cegléd" + }, + "waypoint": { + "lat": -37.90561, + "lon": 145.00279, + "name": "Brighton" + }, + "question": "Is Brighton approximately on the direct path from Rio Branco to Cegléd?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10640.0, + "via_waypoint_km": 29198.2, + "detour_km": 18558.2, + "detour_percent": 174.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Rio Branco", + " End: Cegléd", + " Waypoint: Brighton", + "Step 2: Calculate direct distance", + " Start → End: 10640.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 29198.2 km", + "Step 4: Calculate detour", + " Detour = 29198.2 - 10640.0 = 18558.2 km", + " Detour % = (18558.2 / 10640.0) × 100 = 174.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 174.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 24.44676, + "lon": -104.12336, + "name": "Guadalupe Victoria" + }, + "end": { + "lat": 37.52966, + "lon": -122.04024, + "name": "Newark" + }, + "waypoint": { + "lat": 5.2, + "lon": -6.7, + "name": "Gligbeuadji" + }, + "question": "Is Gligbeuadji approximately on the direct path from Guadalupe Victoria to Newark?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2236.2, + "via_waypoint_km": 22349.6, + "detour_km": 20113.4, + "detour_percent": 899.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Guadalupe Victoria", + " End: Newark", + " Waypoint: Gligbeuadji", + "Step 2: Calculate direct distance", + " Start → End: 2236.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22349.6 km", + "Step 4: Calculate detour", + " Detour = 22349.6 - 2236.2 = 20113.4 km", + " Detour % = (20113.4 / 2236.2) × 100 = 899.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 899.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -23.415, + "lon": -46.035, + "name": "Guararema" + }, + "end": { + "lat": -34.06251, + "lon": 151.14961, + "name": "Cronulla" + }, + "waypoint": { + "lat": 49.14399, + "lon": -122.9068, + "name": "Delta" + }, + "question": "Is Delta approximately on the direct path from Guararema to Cronulla?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13370.6, + "via_waypoint_km": 23586.0, + "detour_km": 10215.4, + "detour_percent": 76.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Guararema", + " End: Cronulla", + " Waypoint: Delta", + "Step 2: Calculate direct distance", + " Start → End: 13370.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23586.0 km", + "Step 4: Calculate detour", + " Detour = 23586.0 - 13370.6 = 10215.4 km", + " Detour % = (10215.4 / 13370.6) × 100 = 76.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 76.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 10.52819, + "lon": 79.63268, + "name": "Thiruthuraipoondi" + }, + "end": { + "lat": -25.74946, + "lon": -56.43518, + "name": "Villarrica" + }, + "waypoint": { + "lat": 6.07278, + "lon": 7.47739, + "name": "Awgu" + }, + "question": "Is Awgu approximately on the direct path from Thiruthuraipoondi to Villarrica?", + "ground_truth": { + "answer": true, + "direct_distance_km": 15102.1, + "via_waypoint_km": 15683.4, + "detour_km": 581.3, + "detour_percent": 3.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Thiruthuraipoondi", + " End: Villarrica", + " Waypoint: Awgu", + "Step 2: Calculate direct distance", + " Start → End: 15102.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15683.4 km", + "Step 4: Calculate detour", + " Detour = 15683.4 - 15102.1 = 581.3 km", + " Detour % = (581.3 / 15102.1) × 100 = 3.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 3.8% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -1.50583, + "lon": -48.62583, + "name": "Barcarena" + }, + "end": { + "lat": -2.67638, + "lon": -79.61735, + "name": "Naranjal" + }, + "waypoint": { + "lat": 33.72178, + "lon": 66.13023, + "name": "Nīlī" + }, + "question": "Is Nīlī approximately on the direct path from Barcarena to Naranjal?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3446.1, + "via_waypoint_km": 27434.3, + "detour_km": 23988.1, + "detour_percent": 696.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Barcarena", + " End: Naranjal", + " Waypoint: Nīlī", + "Step 2: Calculate direct distance", + " Start → End: 3446.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27434.3 km", + "Step 4: Calculate detour", + " Detour = 27434.3 - 3446.1 = 23988.1 km", + " Detour % = (23988.1 / 3446.1) × 100 = 696.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 696.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 5.3848, + "lon": 95.9609, + "name": "Sigli" + }, + "end": { + "lat": 29.409, + "lon": 106.14228, + "name": "Dingjia" + }, + "waypoint": { + "lat": 41.89381, + "lon": -87.67493, + "name": "West Town" + }, + "question": "Is West Town approximately on the direct path from Sigli to Dingjia?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2877.6, + "via_waypoint_km": 26705.8, + "detour_km": 23828.2, + "detour_percent": 828.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sigli", + " End: Dingjia", + " Waypoint: West Town", + "Step 2: Calculate direct distance", + " Start → End: 2877.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26705.8 km", + "Step 4: Calculate detour", + " Detour = 26705.8 - 2877.6 = 23828.2 km", + " Detour % = (23828.2 / 2877.6) × 100 = 828.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 828.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -6.97583, + "lon": 108.48306, + "name": "Kuningan" + }, + "end": { + "lat": 13.33956, + "lon": 100.92964, + "name": "Ban Ang Sila" + }, + "waypoint": { + "lat": -6.87431, + "lon": -79.86871, + "name": "Monsefú" + }, + "question": "Is Monsefú approximately on the direct path from Kuningan to Ban Ang Sila?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2408.1, + "via_waypoint_km": 37508.8, + "detour_km": 35100.7, + "detour_percent": 1457.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kuningan", + " End: Ban Ang Sila", + " Waypoint: Monsefú", + "Step 2: Calculate direct distance", + " Start → End: 2408.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 37508.8 km", + "Step 4: Calculate detour", + " Detour = 37508.8 - 2408.1 = 35100.7 km", + " Detour % = (35100.7 / 2408.1) × 100 = 1457.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1457.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.78843, + "lon": -74.1332, + "name": "North Arlington" + }, + "end": { + "lat": 10.53689, + "lon": -2.70155, + "name": "Jirapa" + }, + "waypoint": { + "lat": 16.7262, + "lon": 121.3589, + "name": "Diadi" + }, + "question": "Is Diadi approximately on the direct path from North Arlington to Jirapa?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7685.2, + "via_waypoint_km": 26581.5, + "detour_km": 18896.2, + "detour_percent": 245.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: North Arlington", + " End: Jirapa", + " Waypoint: Diadi", + "Step 2: Calculate direct distance", + " Start → End: 7685.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26581.5 km", + "Step 4: Calculate detour", + " Detour = 26581.5 - 7685.2 = 18896.2 km", + " Detour % = (18896.2 / 7685.2) × 100 = 245.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 245.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 2.5897, + "lon": 102.0913, + "name": "Rembau" + }, + "end": { + "lat": -17.88608, + "lon": -39.85887, + "name": "Posto da Mata" + }, + "waypoint": { + "lat": 34.57373, + "lon": -5.95585, + "name": "Mechraa Bel Ksiri" + }, + "question": "Is Mechraa Bel Ksiri approximately on the direct path from Rembau to Posto da Mata?", + "ground_truth": { + "answer": false, + "direct_distance_km": 15532.5, + "via_waypoint_km": 18327.0, + "detour_km": 2794.5, + "detour_percent": 18.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Rembau", + " End: Posto da Mata", + " Waypoint: Mechraa Bel Ksiri", + "Step 2: Calculate direct distance", + " Start → End: 15532.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18327.0 km", + "Step 4: Calculate detour", + " Detour = 18327.0 - 15532.5 = 2794.5 km", + " Detour % = (2794.5 / 15532.5) × 100 = 18.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 18.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 38.40148, + "lon": -0.43623, + "name": "Sant Joan d'Alacant" + }, + "end": { + "lat": 39.36485, + "lon": 21.92191, + "name": "Kardítsa" + }, + "waypoint": { + "lat": 41.83809, + "lon": -87.65116, + "name": "Bridgeport" + }, + "question": "Is Bridgeport approximately on the direct path from Sant Joan d'Alacant to Kardítsa?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1933.3, + "via_waypoint_km": 15614.0, + "detour_km": 13680.7, + "detour_percent": 707.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sant Joan d'Alacant", + " End: Kardítsa", + " Waypoint: Bridgeport", + "Step 2: Calculate direct distance", + " Start → End: 1933.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15614.0 km", + "Step 4: Calculate detour", + " Detour = 15614.0 - 1933.3 = 13680.7 km", + " Detour % = (13680.7 / 1933.3) × 100 = 707.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 707.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -41.13827, + "lon": 175.0502, + "name": "Upper Hutt" + }, + "end": { + "lat": 11.40482, + "lon": 75.72363, + "name": "Chēmanchēri" + }, + "waypoint": { + "lat": 51.7311, + "lon": 0.67463, + "name": "Maldon" + }, + "question": "Is Maldon approximately on the direct path from Upper Hutt to Chēmanchēri?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11615.6, + "via_waypoint_km": 26748.6, + "detour_km": 15133.0, + "detour_percent": 130.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Upper Hutt", + " End: Chēmanchēri", + " Waypoint: Maldon", + "Step 2: Calculate direct distance", + " Start → End: 11615.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26748.6 km", + "Step 4: Calculate detour", + " Detour = 26748.6 - 11615.6 = 15133.0 km", + " Detour % = (15133.0 / 11615.6) × 100 = 130.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 130.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 16.16406, + "lon": 44.77692, + "name": "Al Ḩazm" + }, + "end": { + "lat": 11.09596, + "lon": 11.33261, + "name": "Nafada" + }, + "waypoint": { + "lat": -18.59222, + "lon": -48.705, + "name": "Tupaciguara" + }, + "question": "Is Tupaciguara approximately on the direct path from Al Ḩazm to Nafada?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3653.5, + "via_waypoint_km": 18292.3, + "detour_km": 14638.8, + "detour_percent": 400.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Al Ḩazm", + " End: Nafada", + " Waypoint: Tupaciguara", + "Step 2: Calculate direct distance", + " Start → End: 3653.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18292.3 km", + "Step 4: Calculate detour", + " Detour = 18292.3 - 3653.5 = 14638.8 km", + " Detour % = (14638.8 / 3653.5) × 100 = 400.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 400.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -7.35889, + "lon": 109.90306, + "name": "Wonosobo" + }, + "end": { + "lat": 21.64381, + "lon": 73.01211, + "name": "Gadkhol" + }, + "waypoint": { + "lat": -41.4693, + "lon": -72.94237, + "name": "Puerto Montt" + }, + "question": "Is Puerto Montt approximately on the direct path from Wonosobo to Gadkhol?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5155.9, + "via_waypoint_km": 30725.6, + "detour_km": 25569.7, + "detour_percent": 495.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Wonosobo", + " End: Gadkhol", + " Waypoint: Puerto Montt", + "Step 2: Calculate direct distance", + " Start → End: 5155.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 30725.6 km", + "Step 4: Calculate detour", + " Detour = 30725.6 - 5155.9 = 25569.7 km", + " Detour % = (25569.7 / 5155.9) × 100 = 495.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 495.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 35.96124, + "lon": 0.91896, + "name": "Oued Rhiou" + }, + "end": { + "lat": 6.50727, + "lon": 45.83493, + "name": "Golwayn" + }, + "waypoint": { + "lat": 30.57881, + "lon": -97.85307, + "name": "Leander" + }, + "question": "Is Leander approximately on the direct path from Oued Rhiou to Golwayn?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5615.7, + "via_waypoint_km": 23136.6, + "detour_km": 17521.0, + "detour_percent": 312.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Oued Rhiou", + " End: Golwayn", + " Waypoint: Leander", + "Step 2: Calculate direct distance", + " Start → End: 5615.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23136.6 km", + "Step 4: Calculate detour", + " Detour = 23136.6 - 5615.7 = 17521.0 km", + " Detour % = (17521.0 / 5615.7) × 100 = 312.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 312.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 23.15794, + "lon": -82.27837, + "name": "Alamar" + }, + "end": { + "lat": -33.73333, + "lon": 151.0, + "name": "Castle Hill" + }, + "waypoint": { + "lat": -22.88416, + "lon": 30.49358, + "name": "Tshitereke" + }, + "question": "Is Tshitereke approximately on the direct path from Alamar to Castle Hill?", + "ground_truth": { + "answer": false, + "direct_distance_km": 14733.2, + "via_waypoint_km": 24318.2, + "detour_km": 9585.0, + "detour_percent": 65.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Alamar", + " End: Castle Hill", + " Waypoint: Tshitereke", + "Step 2: Calculate direct distance", + " Start → End: 14733.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24318.2 km", + "Step 4: Calculate detour", + " Detour = 24318.2 - 14733.2 = 9585.0 km", + " Detour % = (9585.0 / 14733.2) × 100 = 65.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 65.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.71621, + "lon": -73.85014, + "name": "Forest Hills" + }, + "end": { + "lat": 32.76472, + "lon": 12.67389, + "name": "Al Ḩurshah" + }, + "waypoint": { + "lat": -6.83778, + "lon": 107.47278, + "name": "Padalarang" + }, + "question": "Is Padalarang approximately on the direct path from Forest Hills to Al Ḩurshah?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7443.6, + "via_waypoint_km": 27111.3, + "detour_km": 19667.8, + "detour_percent": 264.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Forest Hills", + " End: Al Ḩurshah", + " Waypoint: Padalarang", + "Step 2: Calculate direct distance", + " Start → End: 7443.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27111.3 km", + "Step 4: Calculate detour", + " Detour = 27111.3 - 7443.6 = 19667.8 km", + " Detour % = (19667.8 / 7443.6) × 100 = 264.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 264.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 39.507, + "lon": -84.74523, + "name": "Oxford" + }, + "end": { + "lat": 47.25829, + "lon": 11.38808, + "name": "Wilten" + }, + "waypoint": { + "lat": 31.73561, + "lon": 116.51688, + "name": "Lu’an" + }, + "question": "Is Lu’an approximately on the direct path from Oxford to Wilten?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7307.2, + "via_waypoint_km": 20286.9, + "detour_km": 12979.7, + "detour_percent": 177.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Oxford", + " End: Wilten", + " Waypoint: Lu’an", + "Step 2: Calculate direct distance", + " Start → End: 7307.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20286.9 km", + "Step 4: Calculate detour", + " Detour = 20286.9 - 7307.2 = 12979.7 km", + " Detour % = (12979.7 / 7307.2) × 100 = 177.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 177.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -6.51056, + "lon": -36.34694, + "name": "Picuí" + }, + "end": { + "lat": 10.12111, + "lon": -69.03639, + "name": "Sabana de Parra" + }, + "waypoint": { + "lat": 24.34478, + "lon": 124.15717, + "name": "Ishigaki" + }, + "question": "Is Ishigaki approximately on the direct path from Picuí to Sabana de Parra?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4065.2, + "via_waypoint_km": 33066.0, + "detour_km": 29000.8, + "detour_percent": 713.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Picuí", + " End: Sabana de Parra", + " Waypoint: Ishigaki", + "Step 2: Calculate direct distance", + " Start → End: 4065.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 33066.0 km", + "Step 4: Calculate detour", + " Detour = 33066.0 - 4065.2 = 29000.8 km", + " Detour % = (29000.8 / 4065.2) × 100 = 713.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 713.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 45.5305, + "lon": 9.13954, + "name": "Novate Milanese" + }, + "end": { + "lat": 28.63124, + "lon": 79.80436, + "name": "Pīlibhīt" + }, + "waypoint": { + "lat": 32.08102, + "lon": -8.62458, + "name": "Echemmaia Est" + }, + "question": "Is Echemmaia Est approximately on the direct path from Novate Milanese to Pīlibhīt?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6331.4, + "via_waypoint_km": 10370.3, + "detour_km": 4038.9, + "detour_percent": 63.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Novate Milanese", + " End: Pīlibhīt", + " Waypoint: Echemmaia Est", + "Step 2: Calculate direct distance", + " Start → End: 6331.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10370.3 km", + "Step 4: Calculate detour", + " Detour = 10370.3 - 6331.4 = 4038.9 km", + " Detour % = (4038.9 / 6331.4) × 100 = 63.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 63.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -7.95618, + "lon": 38.97164, + "name": "Ikwiriri" + }, + "end": { + "lat": 22.98212, + "lon": -80.58556, + "name": "Corralillo" + }, + "waypoint": { + "lat": -20.0225, + "lon": -45.54361, + "name": "Lagoa da Prata" + }, + "question": "Is Lagoa da Prata approximately on the direct path from Ikwiriri to Corralillo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13371.5, + "via_waypoint_km": 15244.8, + "detour_km": 1873.3, + "detour_percent": 14.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ikwiriri", + " End: Corralillo", + " Waypoint: Lagoa da Prata", + "Step 2: Calculate direct distance", + " Start → End: 13371.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15244.8 km", + "Step 4: Calculate detour", + " Detour = 15244.8 - 13371.5 = 1873.3 km", + " Detour % = (1873.3 / 13371.5) × 100 = 14.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 14.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 29.38242, + "lon": 70.91106, + "name": "Alipur" + }, + "end": { + "lat": 10.17506, + "lon": 11.16458, + "name": "Garko" + }, + "waypoint": { + "lat": -17.18889, + "lon": -41.69472, + "name": "Caraí" + }, + "question": "Is Caraí approximately on the direct path from Alipur to Garko?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6532.6, + "via_waypoint_km": 19645.5, + "detour_km": 13112.9, + "detour_percent": 200.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Alipur", + " End: Garko", + " Waypoint: Caraí", + "Step 2: Calculate direct distance", + " Start → End: 6532.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19645.5 km", + "Step 4: Calculate detour", + " Detour = 19645.5 - 6532.6 = 13112.9 km", + " Detour % = (13112.9 / 6532.6) × 100 = 200.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 200.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -41.51603, + "lon": 173.9528, + "name": "Blenheim" + }, + "end": { + "lat": -41.05584, + "lon": 145.90375, + "name": "Burnie" + }, + "waypoint": { + "lat": -20.72523, + "lon": 139.49727, + "name": "Mount Isa" + }, + "question": "Is Mount Isa approximately on the direct path from Blenheim to Burnie?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2333.9, + "via_waypoint_km": 6310.4, + "detour_km": 3976.5, + "detour_percent": 170.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Blenheim", + " End: Burnie", + " Waypoint: Mount Isa", + "Step 2: Calculate direct distance", + " Start → End: 2333.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 6310.4 km", + "Step 4: Calculate detour", + " Detour = 6310.4 - 2333.9 = 3976.5 km", + " Detour % = (3976.5 / 2333.9) × 100 = 170.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 170.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 48.82319, + "lon": 1.9541, + "name": "Plaisir" + }, + "end": { + "lat": 38.94422, + "lon": -3.2381, + "name": "La Solana" + }, + "waypoint": { + "lat": 30.73058, + "lon": 76.69368, + "name": "Balaungi" + }, + "question": "Is Balaungi approximately on the direct path from Plaisir to La Solana?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1174.0, + "via_waypoint_km": 13540.4, + "detour_km": 12366.4, + "detour_percent": 1053.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Plaisir", + " End: La Solana", + " Waypoint: Balaungi", + "Step 2: Calculate direct distance", + " Start → End: 1174.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13540.4 km", + "Step 4: Calculate detour", + " Detour = 13540.4 - 1174.0 = 12366.4 km", + " Detour % = (12366.4 / 1174.0) × 100 = 1053.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1053.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 7.08971, + "lon": 171.38027, + "name": "Majuro" + }, + "end": { + "lat": 24.47669, + "lon": 32.94626, + "name": "Kom Ombo" + }, + "waypoint": { + "lat": 19.05385, + "lon": -70.15116, + "name": "Cotuí" + }, + "question": "Is Cotuí approximately on the direct path from Majuro to Kom Ombo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 14305.6, + "via_waypoint_km": 23064.8, + "detour_km": 8759.2, + "detour_percent": 61.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Majuro", + " End: Kom Ombo", + " Waypoint: Cotuí", + "Step 2: Calculate direct distance", + " Start → End: 14305.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23064.8 km", + "Step 4: Calculate detour", + " Detour = 23064.8 - 14305.6 = 8759.2 km", + " Detour % = (8759.2 / 14305.6) × 100 = 61.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 61.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 21.33954, + "lon": 70.74966, + "name": "Vīsāvadar" + }, + "end": { + "lat": 53.55838, + "lon": -3.06999, + "name": "Formby" + }, + "waypoint": { + "lat": 52.31939, + "lon": 9.65544, + "name": "Ronnenberg" + }, + "question": "Is Ronnenberg approximately on the direct path from Vīsāvadar to Formby?", + "ground_truth": { + "answer": true, + "direct_distance_km": 7055.8, + "via_waypoint_km": 7058.7, + "detour_km": 2.9, + "detour_percent": 0.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Vīsāvadar", + " End: Formby", + " Waypoint: Ronnenberg", + "Step 2: Calculate direct distance", + " Start → End: 7055.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 7058.7 km", + "Step 4: Calculate detour", + " Detour = 7058.7 - 7055.8 = 2.9 km", + " Detour % = (2.9 / 7055.8) × 100 = 0.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.0% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 29.83885, + "lon": 106.7426, + "name": "Gulu" + }, + "end": { + "lat": 35.43333, + "lon": 126.7, + "name": "Koch'ang" + }, + "waypoint": { + "lat": -19.01667, + "lon": 47.18333, + "name": "Arivonimamo" + }, + "question": "Is Arivonimamo approximately on the direct path from Gulu to Koch'ang?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1965.4, + "via_waypoint_km": 18693.8, + "detour_km": 16728.4, + "detour_percent": 851.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Gulu", + " End: Koch'ang", + " Waypoint: Arivonimamo", + "Step 2: Calculate direct distance", + " Start → End: 1965.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18693.8 km", + "Step 4: Calculate detour", + " Detour = 18693.8 - 1965.4 = 16728.4 km", + " Detour % = (16728.4 / 1965.4) × 100 = 851.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 851.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 37.13772, + "lon": -8.01968, + "name": "Loulé" + }, + "end": { + "lat": -18.97428, + "lon": -49.46212, + "name": "Ituiutaba" + }, + "waypoint": { + "lat": 42.1859, + "lon": 127.47895, + "name": "Songjianghe" + }, + "question": "Is Songjianghe approximately on the direct path from Loulé to Ituiutaba?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7601.0, + "via_waypoint_km": 27526.6, + "detour_km": 19925.7, + "detour_percent": 262.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Loulé", + " End: Ituiutaba", + " Waypoint: Songjianghe", + "Step 2: Calculate direct distance", + " Start → End: 7601.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27526.6 km", + "Step 4: Calculate detour", + " Detour = 27526.6 - 7601.0 = 19925.7 km", + " Detour % = (19925.7 / 7601.0) × 100 = 262.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 262.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -19.93556, + "lon": -40.60028, + "name": "Santa Teresa" + }, + "end": { + "lat": 43.82634, + "lon": 144.09638, + "name": "Motomachi" + }, + "waypoint": { + "lat": 55.73321, + "lon": 38.46458, + "name": "Fryazevo" + }, + "question": "Is Fryazevo approximately on the direct path from Santa Teresa to Motomachi?", + "ground_truth": { + "answer": true, + "direct_distance_km": 17323.0, + "via_waypoint_km": 18111.4, + "detour_km": 788.5, + "detour_percent": 4.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Santa Teresa", + " End: Motomachi", + " Waypoint: Fryazevo", + "Step 2: Calculate direct distance", + " Start → End: 17323.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18111.4 km", + "Step 4: Calculate detour", + " Detour = 18111.4 - 17323.0 = 788.5 km", + " Detour % = (788.5 / 17323.0) × 100 = 4.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 4.6% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -5.56667, + "lon": -46.74222, + "name": "Amarante do Maranhão" + }, + "end": { + "lat": 40.40289, + "lon": 44.64447, + "name": "Charentsavan" + }, + "waypoint": { + "lat": 60.1444, + "lon": 30.20165, + "name": "Sertolovo" + }, + "question": "Is Sertolovo approximately on the direct path from Amarante do Maranhão to Charentsavan?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10525.5, + "via_waypoint_km": 12241.4, + "detour_km": 1715.9, + "detour_percent": 16.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Amarante do Maranhão", + " End: Charentsavan", + " Waypoint: Sertolovo", + "Step 2: Calculate direct distance", + " Start → End: 10525.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12241.4 km", + "Step 4: Calculate detour", + " Detour = 12241.4 - 10525.5 = 1715.9 km", + " Detour % = (1715.9 / 10525.5) × 100 = 16.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 16.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 34.76667, + "lon": 137.38333, + "name": "Toyohashi" + }, + "end": { + "lat": -10.73251, + "lon": 13.76844, + "name": "Porto Amboim" + }, + "waypoint": { + "lat": -4.57722, + "lon": -81.27194, + "name": "Talara" + }, + "question": "Is Talara approximately on the direct path from Toyohashi to Porto Amboim?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13740.8, + "via_waypoint_km": 25276.3, + "detour_km": 11535.5, + "detour_percent": 84.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Toyohashi", + " End: Porto Amboim", + " Waypoint: Talara", + "Step 2: Calculate direct distance", + " Start → End: 13740.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25276.3 km", + "Step 4: Calculate detour", + " Detour = 25276.3 - 13740.8 = 11535.5 km", + " Detour % = (11535.5 / 13740.8) × 100 = 84.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 84.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -0.70111, + "lon": 30.49389, + "name": "Kinoni" + }, + "end": { + "lat": 13.09988, + "lon": 79.93207, + "name": "Vengattūr" + }, + "waypoint": { + "lat": -31.43084, + "lon": 152.90894, + "name": "Port Macquarie" + }, + "question": "Is Port Macquarie approximately on the direct path from Kinoni to Vengattūr?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5661.1, + "via_waypoint_km": 22196.7, + "detour_km": 16535.6, + "detour_percent": 292.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kinoni", + " End: Vengattūr", + " Waypoint: Port Macquarie", + "Step 2: Calculate direct distance", + " Start → End: 5661.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22196.7 km", + "Step 4: Calculate detour", + " Detour = 22196.7 - 5661.1 = 16535.6 km", + " Detour % = (16535.6 / 5661.1) × 100 = 292.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 292.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -23.66778, + "lon": -46.46139, + "name": "Mauá" + }, + "end": { + "lat": -9.31833, + "lon": -35.56111, + "name": "São Luís do Quitunde" + }, + "waypoint": { + "lat": -5.85746, + "lon": 144.23058, + "name": "Mount Hagen" + }, + "question": "Is Mount Hagen approximately on the direct path from Mauá to São Luís do Quitunde?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1971.6, + "via_waypoint_km": 34860.5, + "detour_km": 32888.8, + "detour_percent": 1668.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mauá", + " End: São Luís do Quitunde", + " Waypoint: Mount Hagen", + "Step 2: Calculate direct distance", + " Start → End: 1971.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 34860.5 km", + "Step 4: Calculate detour", + " Detour = 34860.5 - 1971.6 = 32888.8 km", + " Detour % = (32888.8 / 1971.6) × 100 = 1668.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1668.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -37.91928, + "lon": 145.05301, + "name": "Bentleigh East" + }, + "end": { + "lat": 59.83333, + "lon": 10.43721, + "name": "Asker" + }, + "waypoint": { + "lat": 37.12734, + "lon": -7.64861, + "name": "Tavira" + }, + "question": "Is Tavira approximately on the direct path from Bentleigh East to Asker?", + "ground_truth": { + "answer": false, + "direct_distance_km": 16020.0, + "via_waypoint_km": 20448.4, + "detour_km": 4428.4, + "detour_percent": 27.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bentleigh East", + " End: Asker", + " Waypoint: Tavira", + "Step 2: Calculate direct distance", + " Start → End: 16020.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20448.4 km", + "Step 4: Calculate detour", + " Detour = 20448.4 - 16020.0 = 4428.4 km", + " Detour % = (4428.4 / 16020.0) × 100 = 27.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 27.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 10.77697, + "lon": -74.85344, + "name": "Polonuevo" + }, + "end": { + "lat": -14.33611, + "lon": -43.77361, + "name": "Malhada" + }, + "waypoint": { + "lat": 38.44451, + "lon": -9.10149, + "name": "Sesimbra" + }, + "question": "Is Sesimbra approximately on the direct path from Polonuevo to Malhada?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4420.0, + "via_waypoint_km": 14049.3, + "detour_km": 9629.3, + "detour_percent": 217.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Polonuevo", + " End: Malhada", + " Waypoint: Sesimbra", + "Step 2: Calculate direct distance", + " Start → End: 4420.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14049.3 km", + "Step 4: Calculate detour", + " Detour = 14049.3 - 4420.0 = 9629.3 km", + " Detour % = (9629.3 / 4420.0) × 100 = 217.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 217.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -2.9701, + "lon": 119.8978, + "name": "Rantepao" + }, + "end": { + "lat": 30.6109, + "lon": 108.63518, + "name": "Longju" + }, + "waypoint": { + "lat": -27.75796, + "lon": 29.9318, + "name": "Newcastle" + }, + "question": "Is Newcastle approximately on the direct path from Rantepao to Longju?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3920.6, + "via_waypoint_km": 20419.1, + "detour_km": 16498.5, + "detour_percent": 420.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Rantepao", + " End: Longju", + " Waypoint: Newcastle", + "Step 2: Calculate direct distance", + " Start → End: 3920.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20419.1 km", + "Step 4: Calculate detour", + " Detour = 20419.1 - 3920.6 = 16498.5 km", + " Detour % = (16498.5 / 3920.6) × 100 = 420.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 420.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 43.31856, + "lon": 5.40836, + "name": "Marseille 13" + }, + "end": { + "lat": 3.86512, + "lon": 32.48212, + "name": "Pajok" + }, + "waypoint": { + "lat": 41.88059, + "lon": -87.72922, + "name": "West Garfield Park" + }, + "question": "Is West Garfield Park approximately on the direct path from Marseille 13 to Pajok?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5133.2, + "via_waypoint_km": 19329.3, + "detour_km": 14196.1, + "detour_percent": 276.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Marseille 13", + " End: Pajok", + " Waypoint: West Garfield Park", + "Step 2: Calculate direct distance", + " Start → End: 5133.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19329.3 km", + "Step 4: Calculate detour", + " Detour = 19329.3 - 5133.2 = 14196.1 km", + " Detour % = (14196.1 / 5133.2) × 100 = 276.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 276.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -21.995, + "lon": -42.91444, + "name": "Sapucaia" + }, + "end": { + "lat": 32.59208, + "lon": -96.75611, + "name": "Lancaster" + }, + "waypoint": { + "lat": 48.64683, + "lon": 9.45378, + "name": "Kirchheim unter Teck" + }, + "question": "Is Kirchheim unter Teck approximately on the direct path from Sapucaia to Lancaster?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8337.2, + "via_waypoint_km": 17819.4, + "detour_km": 9482.2, + "detour_percent": 113.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sapucaia", + " End: Lancaster", + " Waypoint: Kirchheim unter Teck", + "Step 2: Calculate direct distance", + " Start → End: 8337.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17819.4 km", + "Step 4: Calculate detour", + " Detour = 17819.4 - 8337.2 = 9482.2 km", + " Detour % = (9482.2 / 8337.2) × 100 = 113.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 113.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -15.63361, + "lon": -47.83478, + "name": "Sobradinho II" + }, + "end": { + "lat": 39.3925, + "lon": 28.13111, + "name": "Bigadiç" + }, + "waypoint": { + "lat": 38.62139, + "lon": 21.40778, + "name": "Agrínio" + }, + "question": "Is Agrínio approximately on the direct path from Sobradinho II to Bigadiç?", + "ground_truth": { + "answer": true, + "direct_distance_km": 9947.3, + "via_waypoint_km": 9966.4, + "detour_km": 19.1, + "detour_percent": 0.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sobradinho II", + " End: Bigadiç", + " Waypoint: Agrínio", + "Step 2: Calculate direct distance", + " Start → End: 9947.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9966.4 km", + "Step 4: Calculate detour", + " Detour = 9966.4 - 9947.3 = 19.1 km", + " Detour % = (19.1 / 9947.3) × 100 = 0.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.2% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 28.88162, + "lon": 120.03308, + "name": "Guli" + }, + "end": { + "lat": 34.88333, + "lon": 136.58333, + "name": "Suzuka" + }, + "waypoint": { + "lat": 2.5825, + "lon": 102.711, + "name": "Batu Anam" + }, + "question": "Is Batu Anam approximately on the direct path from Guli to Suzuka?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1696.4, + "via_waypoint_km": 8463.5, + "detour_km": 6767.1, + "detour_percent": 398.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Guli", + " End: Suzuka", + " Waypoint: Batu Anam", + "Step 2: Calculate direct distance", + " Start → End: 1696.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 8463.5 km", + "Step 4: Calculate detour", + " Detour = 8463.5 - 1696.4 = 6767.1 km", + " Detour % = (6767.1 / 1696.4) × 100 = 398.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 398.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.6574, + "lon": 128.45514, + "name": "Yecheon" + }, + "end": { + "lat": 33.91406, + "lon": -5.48969, + "name": "Ouislane" + }, + "waypoint": { + "lat": -33.91075, + "lon": 19.1198, + "name": "Franschhoek" + }, + "question": "Is Franschhoek approximately on the direct path from Yecheon to Ouislane?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10831.0, + "via_waypoint_km": 21711.4, + "detour_km": 10880.4, + "detour_percent": 100.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Yecheon", + " End: Ouislane", + " Waypoint: Franschhoek", + "Step 2: Calculate direct distance", + " Start → End: 10831.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21711.4 km", + "Step 4: Calculate detour", + " Detour = 21711.4 - 10831.0 = 10880.4 km", + " Detour % = (10880.4 / 10831.0) × 100 = 100.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 100.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.54696, + "lon": 104.17023, + "name": "Baiyin" + }, + "end": { + "lat": 41.66931, + "lon": 12.50124, + "name": "Pomezia" + }, + "waypoint": { + "lat": 50.24107, + "lon": 14.31149, + "name": "Kralupy nad Vltavou" + }, + "question": "Is Kralupy nad Vltavou approximately on the direct path from Baiyin to Pomezia?", + "ground_truth": { + "answer": true, + "direct_distance_km": 7535.1, + "via_waypoint_km": 7932.4, + "detour_km": 397.3, + "detour_percent": 5.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Baiyin", + " End: Pomezia", + " Waypoint: Kralupy nad Vltavou", + "Step 2: Calculate direct distance", + " Start → End: 7535.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 7932.4 km", + "Step 4: Calculate detour", + " Detour = 7932.4 - 7535.1 = 397.3 km", + " Detour % = (397.3 / 7535.1) × 100 = 5.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 5.3% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 48.91667, + "lon": 2.38333, + "name": "Aubervilliers" + }, + "end": { + "lat": 44.85393, + "lon": 38.67924, + "name": "Severskaya" + }, + "waypoint": { + "lat": 24.827, + "lon": 87.2125, + "name": "Godda" + }, + "question": "Is Godda approximately on the direct path from Aubervilliers to Severskaya?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2768.0, + "via_waypoint_km": 12457.7, + "detour_km": 9689.7, + "detour_percent": 350.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Aubervilliers", + " End: Severskaya", + " Waypoint: Godda", + "Step 2: Calculate direct distance", + " Start → End: 2768.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12457.7 km", + "Step 4: Calculate detour", + " Detour = 12457.7 - 2768.0 = 9689.7 km", + " Detour % = (9689.7 / 2768.0) × 100 = 350.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 350.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 38.21201, + "lon": -85.22357, + "name": "Shelbyville" + }, + "end": { + "lat": 32.58345, + "lon": 14.03627, + "name": "Msalātah" + }, + "waypoint": { + "lat": 32.77998, + "lon": 72.69793, + "name": "Kallar Kahar" + }, + "question": "Is Kallar Kahar approximately on the direct path from Shelbyville to Msalātah?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8551.3, + "via_waypoint_km": 17212.5, + "detour_km": 8661.2, + "detour_percent": 101.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Shelbyville", + " End: Msalātah", + " Waypoint: Kallar Kahar", + "Step 2: Calculate direct distance", + " Start → End: 8551.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17212.5 km", + "Step 4: Calculate detour", + " Detour = 17212.5 - 8551.3 = 8661.2 km", + " Detour % = (8661.2 / 8551.3) × 100 = 101.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 101.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 54.8523, + "lon": 83.106, + "name": "Akademgorodok" + }, + "end": { + "lat": 36.76775, + "lon": 2.95924, + "name": "Cheraga" + }, + "waypoint": { + "lat": 12.60799, + "lon": 80.0555, + "name": "Tirukkalikkunram" + }, + "question": "Is Tirukkalikkunram approximately on the direct path from Akademgorodok to Cheraga?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6156.3, + "via_waypoint_km": 12736.3, + "detour_km": 6580.0, + "detour_percent": 106.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Akademgorodok", + " End: Cheraga", + " Waypoint: Tirukkalikkunram", + "Step 2: Calculate direct distance", + " Start → End: 6156.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12736.3 km", + "Step 4: Calculate detour", + " Detour = 12736.3 - 6156.3 = 6580.0 km", + " Detour % = (6580.0 / 6156.3) × 100 = 106.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 106.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 39.98205, + "lon": 32.82459, + "name": "Etlik" + }, + "end": { + "lat": 36.41667, + "lon": 118.5, + "name": "Yeyuan" + }, + "waypoint": { + "lat": 43.49547, + "lon": 39.89294, + "name": "Kudepsta" + }, + "question": "Is Kudepsta approximately on the direct path from Etlik to Yeyuan?", + "ground_truth": { + "answer": true, + "direct_distance_km": 7190.2, + "via_waypoint_km": 7198.5, + "detour_km": 8.4, + "detour_percent": 0.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Etlik", + " End: Yeyuan", + " Waypoint: Kudepsta", + "Step 2: Calculate direct distance", + " Start → End: 7190.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 7198.5 km", + "Step 4: Calculate detour", + " Detour = 7198.5 - 7190.2 = 8.4 km", + " Detour % = (8.4 / 7190.2) × 100 = 0.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.1% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 14.41435, + "lon": 77.72035, + "name": "Dharmavaram" + }, + "end": { + "lat": 33.18333, + "lon": 129.9, + "name": "Arita" + }, + "waypoint": { + "lat": 27.88385, + "lon": -15.72538, + "name": "Mogán" + }, + "question": "Is Mogán approximately on the direct path from Dharmavaram to Arita?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5638.4, + "via_waypoint_km": 21910.3, + "detour_km": 16271.9, + "detour_percent": 288.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Dharmavaram", + " End: Arita", + " Waypoint: Mogán", + "Step 2: Calculate direct distance", + " Start → End: 5638.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21910.3 km", + "Step 4: Calculate detour", + " Detour = 21910.3 - 5638.4 = 16271.9 km", + " Detour % = (16271.9 / 5638.4) × 100 = 288.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 288.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.38333, + "lon": 8.08333, + "name": "Arnsberg" + }, + "end": { + "lat": -23.85972, + "lon": 35.34722, + "name": "Maxixe" + }, + "waypoint": { + "lat": 25.88572, + "lon": 78.33221, + "name": "Dabra" + }, + "question": "Is Dabra approximately on the direct path from Arnsberg to Maxixe?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8781.1, + "via_waypoint_km": 13651.1, + "detour_km": 4869.9, + "detour_percent": 55.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Arnsberg", + " End: Maxixe", + " Waypoint: Dabra", + "Step 2: Calculate direct distance", + " Start → End: 8781.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13651.1 km", + "Step 4: Calculate detour", + " Detour = 13651.1 - 8781.1 = 4869.9 km", + " Detour % = (4869.9 / 8781.1) × 100 = 55.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 55.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 25.75482, + "lon": -80.32727, + "name": "Westchester" + }, + "end": { + "lat": 51.60799, + "lon": -3.10081, + "name": "Risca" + }, + "waypoint": { + "lat": 40.03108, + "lon": -3.60246, + "name": "Aranjuez" + }, + "question": "Is Aranjuez approximately on the direct path from Westchester to Risca?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6931.8, + "via_waypoint_km": 8408.1, + "detour_km": 1476.3, + "detour_percent": 21.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Westchester", + " End: Risca", + " Waypoint: Aranjuez", + "Step 2: Calculate direct distance", + " Start → End: 6931.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 8408.1 km", + "Step 4: Calculate detour", + " Detour = 8408.1 - 6931.8 = 1476.3 km", + " Detour % = (1476.3 / 6931.8) × 100 = 21.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 21.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 35.73333, + "lon": 139.85, + "name": "Katsushika" + }, + "end": { + "lat": 30.35028, + "lon": 112.19028, + "name": "Jingzhou" + }, + "waypoint": { + "lat": 39.79803, + "lon": 42.67574, + "name": "Eleşkirt" + }, + "question": "Is Eleşkirt approximately on the direct path from Katsushika to Jingzhou?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2637.3, + "via_waypoint_km": 14349.1, + "detour_km": 11711.8, + "detour_percent": 444.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Katsushika", + " End: Jingzhou", + " Waypoint: Eleşkirt", + "Step 2: Calculate direct distance", + " Start → End: 2637.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14349.1 km", + "Step 4: Calculate detour", + " Detour = 14349.1 - 2637.3 = 11711.8 km", + " Detour % = (11711.8 / 2637.3) × 100 = 444.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 444.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 48.14446, + "lon": 37.30058, + "name": "Selydove" + }, + "end": { + "lat": 43.12442, + "lon": 5.92836, + "name": "Toulon" + }, + "waypoint": { + "lat": 19.90944, + "lon": -99.14472, + "name": "Tequixquiac" + }, + "question": "Is Tequixquiac approximately on the direct path from Selydove to Toulon?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2483.8, + "via_waypoint_km": 20958.4, + "detour_km": 18474.6, + "detour_percent": 743.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Selydove", + " End: Toulon", + " Waypoint: Tequixquiac", + "Step 2: Calculate direct distance", + " Start → End: 2483.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20958.4 km", + "Step 4: Calculate detour", + " Detour = 20958.4 - 2483.8 = 18474.6 km", + " Detour % = (18474.6 / 2483.8) × 100 = 743.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 743.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 39.15561, + "lon": -84.45966, + "name": "Norwood" + }, + "end": { + "lat": 49.27997, + "lon": -123.10556, + "name": "Chinatown" + }, + "waypoint": { + "lat": -14.86611, + "lon": -40.83944, + "name": "Vitória da Conquista" + }, + "question": "Is Vitória da Conquista approximately on the direct path from Norwood to Chinatown?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3237.3, + "via_waypoint_km": 18227.4, + "detour_km": 14990.1, + "detour_percent": 463.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Norwood", + " End: Chinatown", + " Waypoint: Vitória da Conquista", + "Step 2: Calculate direct distance", + " Start → End: 3237.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18227.4 km", + "Step 4: Calculate detour", + " Detour = 18227.4 - 3237.3 = 14990.1 km", + " Detour % = (14990.1 / 3237.3) × 100 = 463.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 463.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 50.43565, + "lon": -3.56789, + "name": "Paignton" + }, + "end": { + "lat": 45.41047, + "lon": 9.26838, + "name": "San Donato Milanese" + }, + "waypoint": { + "lat": 7.17618, + "lon": -7.29729, + "name": "Baibli" + }, + "question": "Is Baibli approximately on the direct path from Paignton to San Donato Milanese?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1105.6, + "via_waypoint_km": 9363.5, + "detour_km": 8257.9, + "detour_percent": 746.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Paignton", + " End: San Donato Milanese", + " Waypoint: Baibli", + "Step 2: Calculate direct distance", + " Start → End: 1105.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9363.5 km", + "Step 4: Calculate detour", + " Detour = 9363.5 - 1105.6 = 8257.9 km", + " Detour % = (8257.9 / 1105.6) × 100 = 746.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 746.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 11.78796, + "lon": 77.8008, + "name": "Mettur" + }, + "end": { + "lat": -32.5269, + "lon": 115.7217, + "name": "Mandurah" + }, + "waypoint": { + "lat": 45.43854, + "lon": 10.9938, + "name": "Verona" + }, + "question": "Is Verona approximately on the direct path from Mettur to Mandurah?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6363.9, + "via_waypoint_km": 20866.4, + "detour_km": 14502.6, + "detour_percent": 227.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mettur", + " End: Mandurah", + " Waypoint: Verona", + "Step 2: Calculate direct distance", + " Start → End: 6363.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20866.4 km", + "Step 4: Calculate detour", + " Detour = 20866.4 - 6363.9 = 14502.6 km", + " Detour % = (14502.6 / 6363.9) × 100 = 227.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 227.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 5.58822, + "lon": 100.37085, + "name": "Kota Kuala Muda" + }, + "end": { + "lat": -20.67139, + "lon": -41.00694, + "name": "Vargem Alta" + }, + "waypoint": { + "lat": -14.10165, + "lon": 21.43531, + "name": "Lumbala" + }, + "question": "Is Lumbala approximately on the direct path from Kota Kuala Muda to Vargem Alta?", + "ground_truth": { + "answer": true, + "direct_distance_km": 15526.2, + "via_waypoint_km": 15602.8, + "detour_km": 76.6, + "detour_percent": 0.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kota Kuala Muda", + " End: Vargem Alta", + " Waypoint: Lumbala", + "Step 2: Calculate direct distance", + " Start → End: 15526.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15602.8 km", + "Step 4: Calculate detour", + " Detour = 15602.8 - 15526.2 = 76.6 km", + " Detour % = (76.6 / 15526.2) × 100 = 0.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.5% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 50.44548, + "lon": 18.86147, + "name": "Tarnowskie Góry" + }, + "end": { + "lat": -17.51944, + "lon": -39.19556, + "name": "Alcobaça" + }, + "waypoint": { + "lat": -2.23111, + "lon": -45.3, + "name": "Santa Helena" + }, + "question": "Is Santa Helena approximately on the direct path from Tarnowskie Góry to Alcobaça?", + "ground_truth": { + "answer": true, + "direct_distance_km": 9438.5, + "via_waypoint_km": 10241.3, + "detour_km": 802.8, + "detour_percent": 8.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tarnowskie Góry", + " End: Alcobaça", + " Waypoint: Santa Helena", + "Step 2: Calculate direct distance", + " Start → End: 9438.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10241.3 km", + "Step 4: Calculate detour", + " Detour = 10241.3 - 9438.5 = 802.8 km", + " Detour % = (802.8 / 9438.5) × 100 = 8.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 8.5% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -29.70167, + "lon": -51.24194, + "name": "Portão" + }, + "end": { + "lat": 51.29652, + "lon": -0.3338, + "name": "Leatherhead" + }, + "waypoint": { + "lat": 48.06212, + "lon": 39.9355, + "name": "Gukovo" + }, + "question": "Is Gukovo approximately on the direct path from Portão to Leatherhead?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10289.2, + "via_waypoint_km": 15377.1, + "detour_km": 5087.9, + "detour_percent": 49.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Portão", + " End: Leatherhead", + " Waypoint: Gukovo", + "Step 2: Calculate direct distance", + " Start → End: 10289.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15377.1 km", + "Step 4: Calculate detour", + " Detour = 15377.1 - 10289.2 = 5087.9 km", + " Detour % = (5087.9 / 10289.2) × 100 = 49.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 49.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 30.58768, + "lon": 31.502, + "name": "Zagazig" + }, + "end": { + "lat": 26.26584, + "lon": 78.67108, + "name": "Mau" + }, + "waypoint": { + "lat": 29.98458, + "lon": 105.98421, + "name": "Shaoyun" + }, + "question": "Is Shaoyun approximately on the direct path from Zagazig to Mau?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4604.5, + "via_waypoint_km": 9710.3, + "detour_km": 5105.8, + "detour_percent": 110.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Zagazig", + " End: Mau", + " Waypoint: Shaoyun", + "Step 2: Calculate direct distance", + " Start → End: 4604.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9710.3 km", + "Step 4: Calculate detour", + " Detour = 9710.3 - 4604.5 = 5105.8 km", + " Detour % = (5105.8 / 4604.5) × 100 = 110.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 110.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 7.59383, + "lon": 6.21798, + "name": "Ogaminana" + }, + "end": { + "lat": -37.95855, + "lon": 176.98545, + "name": "Whakatane" + }, + "waypoint": { + "lat": 59.2978, + "lon": 18.0514, + "name": "Årsta" + }, + "question": "Is Årsta approximately on the direct path from Ogaminana to Whakatane?", + "ground_truth": { + "answer": false, + "direct_distance_km": 16513.2, + "via_waypoint_km": 23044.7, + "detour_km": 6531.5, + "detour_percent": 39.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ogaminana", + " End: Whakatane", + " Waypoint: Årsta", + "Step 2: Calculate direct distance", + " Start → End: 16513.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23044.7 km", + "Step 4: Calculate detour", + " Detour = 23044.7 - 16513.2 = 6531.5 km", + " Detour % = (6531.5 / 16513.2) × 100 = 39.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 39.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 46.20222, + "lon": 6.14569, + "name": "Genève" + }, + "end": { + "lat": 21.25, + "lon": 81.4, + "name": "Jāmul" + }, + "waypoint": { + "lat": -24.59165, + "lon": 27.41155, + "name": "Thabazimbi" + }, + "question": "Is Thabazimbi approximately on the direct path from Genève to Jāmul?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7205.4, + "via_waypoint_km": 15905.7, + "detour_km": 8700.4, + "detour_percent": 120.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Genève", + " End: Jāmul", + " Waypoint: Thabazimbi", + "Step 2: Calculate direct distance", + " Start → End: 7205.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15905.7 km", + "Step 4: Calculate detour", + " Detour = 15905.7 - 7205.4 = 8700.4 km", + " Detour % = (8700.4 / 7205.4) × 100 = 120.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 120.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 23.02888, + "lon": 79.48233, + "name": "Gotegaon" + }, + "end": { + "lat": -10.9, + "lon": 38.5, + "name": "Nangomba" + }, + "waypoint": { + "lat": 52.0825, + "lon": 4.75, + "name": "Bodegraven" + }, + "question": "Is Bodegraven approximately on the direct path from Gotegaon to Nangomba?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5841.9, + "via_waypoint_km": 14691.9, + "detour_km": 8850.0, + "detour_percent": 151.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Gotegaon", + " End: Nangomba", + " Waypoint: Bodegraven", + "Step 2: Calculate direct distance", + " Start → End: 5841.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14691.9 km", + "Step 4: Calculate detour", + " Detour = 14691.9 - 5841.9 = 8850.0 km", + " Detour % = (8850.0 / 5841.9) × 100 = 151.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 151.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 7.1962, + "lon": 5.58681, + "name": "Owo" + }, + "end": { + "lat": -5.89056, + "lon": -38.62194, + "name": "Jaguaribe" + }, + "waypoint": { + "lat": -20.33944, + "lon": -47.78056, + "name": "Ituverava" + }, + "question": "Is Ituverava approximately on the direct path from Owo to Jaguaribe?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5116.0, + "via_waypoint_km": 8473.0, + "detour_km": 3357.1, + "detour_percent": 65.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Owo", + " End: Jaguaribe", + " Waypoint: Ituverava", + "Step 2: Calculate direct distance", + " Start → End: 5116.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 8473.0 km", + "Step 4: Calculate detour", + " Detour = 8473.0 - 5116.0 = 3357.1 km", + " Detour % = (3357.1 / 5116.0) × 100 = 65.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 65.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -2.13333, + "lon": 33.05, + "name": "Nansio" + }, + "end": { + "lat": 33.61601, + "lon": -7.12153, + "name": "Benslimane" + }, + "waypoint": { + "lat": 12.77957, + "lon": 45.03852, + "name": "Aden" + }, + "question": "Is Aden approximately on the direct path from Nansio to Benslimane?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5785.2, + "via_waypoint_km": 7863.1, + "detour_km": 2077.9, + "detour_percent": 35.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Nansio", + " End: Benslimane", + " Waypoint: Aden", + "Step 2: Calculate direct distance", + " Start → End: 5785.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 7863.1 km", + "Step 4: Calculate detour", + " Detour = 7863.1 - 5785.2 = 2077.9 km", + " Detour % = (2077.9 / 5785.2) × 100 = 35.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 35.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 41.39838, + "lon": -81.80458, + "name": "Brook Park" + }, + "end": { + "lat": 50.02805, + "lon": 45.46115, + "name": "Nikolayevsk" + }, + "waypoint": { + "lat": 33.73333, + "lon": 115.4, + "name": "Jishui" + }, + "question": "Is Jishui approximately on the direct path from Brook Park to Nikolayevsk?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8627.0, + "via_waypoint_km": 17314.6, + "detour_km": 8687.6, + "detour_percent": 100.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Brook Park", + " End: Nikolayevsk", + " Waypoint: Jishui", + "Step 2: Calculate direct distance", + " Start → End: 8627.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17314.6 km", + "Step 4: Calculate detour", + " Detour = 17314.6 - 8627.0 = 8687.6 km", + " Detour % = (8687.6 / 8627.0) × 100 = 100.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 100.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 37.94789, + "lon": 23.6788, + "name": "Moskháton" + }, + "end": { + "lat": 52.3025, + "lon": 4.68889, + "name": "Hoofddorp" + }, + "waypoint": { + "lat": -4.97503, + "lon": 23.44391, + "name": "Lusambo" + }, + "question": "Is Lusambo approximately on the direct path from Moskháton to Hoofddorp?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2170.3, + "via_waypoint_km": 11383.9, + "detour_km": 9213.6, + "detour_percent": 424.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Moskháton", + " End: Hoofddorp", + " Waypoint: Lusambo", + "Step 2: Calculate direct distance", + " Start → End: 2170.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11383.9 km", + "Step 4: Calculate detour", + " Detour = 11383.9 - 2170.3 = 9213.6 km", + " Detour % = (9213.6 / 2170.3) × 100 = 424.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 424.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.40619, + "lon": -3.71836, + "name": "Imperial" + }, + "end": { + "lat": 48.25, + "lon": 16.4, + "name": "Floridsdorf" + }, + "waypoint": { + "lat": 32.02594, + "lon": 44.34625, + "name": "Najaf" + }, + "question": "Is Najaf approximately on the direct path from Imperial to Floridsdorf?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1814.7, + "via_waypoint_km": 7311.6, + "detour_km": 5496.8, + "detour_percent": 302.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Imperial", + " End: Floridsdorf", + " Waypoint: Najaf", + "Step 2: Calculate direct distance", + " Start → End: 1814.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 7311.6 km", + "Step 4: Calculate detour", + " Detour = 7311.6 - 1814.7 = 5496.8 km", + " Detour % = (5496.8 / 1814.7) × 100 = 302.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 302.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -22.38484, + "lon": -41.78324, + "name": "Macaé" + }, + "end": { + "lat": 14.45577, + "lon": -87.63968, + "name": "Comayagua" + }, + "waypoint": { + "lat": -26.33172, + "lon": 26.32065, + "name": "Coligny" + }, + "question": "Is Coligny approximately on the direct path from Macaé to Comayagua?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6459.8, + "via_waypoint_km": 19908.3, + "detour_km": 13448.5, + "detour_percent": 208.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Macaé", + " End: Comayagua", + " Waypoint: Coligny", + "Step 2: Calculate direct distance", + " Start → End: 6459.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19908.3 km", + "Step 4: Calculate detour", + " Detour = 19908.3 - 6459.8 = 13448.5 km", + " Detour % = (13448.5 / 6459.8) × 100 = 208.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 208.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -27.62329, + "lon": 153.04785, + "name": "Calamvale" + }, + "end": { + "lat": 15.85615, + "lon": -5.79067, + "name": "Mbera" + }, + "waypoint": { + "lat": -17.5163, + "lon": -63.16778, + "name": "Warnes" + }, + "question": "Is Warnes approximately on the direct path from Calamvale to Mbera?", + "ground_truth": { + "answer": false, + "direct_distance_km": 17474.1, + "via_waypoint_km": 20957.9, + "detour_km": 3483.9, + "detour_percent": 19.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Calamvale", + " End: Mbera", + " Waypoint: Warnes", + "Step 2: Calculate direct distance", + " Start → End: 17474.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20957.9 km", + "Step 4: Calculate detour", + " Detour = 20957.9 - 17474.1 = 3483.9 km", + " Detour % = (3483.9 / 17474.1) × 100 = 19.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 19.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 45.5482, + "lon": 13.72963, + "name": "Koper" + }, + "end": { + "lat": 49.71003, + "lon": 37.61581, + "name": "Kupiansk" + }, + "waypoint": { + "lat": 29.36273, + "lon": -100.89676, + "name": "Del Rio" + }, + "question": "Is Del Rio approximately on the direct path from Koper to Kupiansk?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1840.2, + "via_waypoint_km": 19711.4, + "detour_km": 17871.3, + "detour_percent": 971.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Koper", + " End: Kupiansk", + " Waypoint: Del Rio", + "Step 2: Calculate direct distance", + " Start → End: 1840.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19711.4 km", + "Step 4: Calculate detour", + " Detour = 19711.4 - 1840.2 = 17871.3 km", + " Detour % = (17871.3 / 1840.2) × 100 = 971.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 971.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 44.81694, + "lon": 15.87083, + "name": "Bihać" + }, + "end": { + "lat": 21.88759, + "lon": -82.80662, + "name": "Nueva Gerona" + }, + "waypoint": { + "lat": -4.03972, + "lon": -38.63722, + "name": "Guaiúba" + }, + "question": "Is Guaiúba approximately on the direct path from Bihać to Nueva Gerona?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8961.5, + "via_waypoint_km": 13255.6, + "detour_km": 4294.0, + "detour_percent": 47.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bihać", + " End: Nueva Gerona", + " Waypoint: Guaiúba", + "Step 2: Calculate direct distance", + " Start → End: 8961.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13255.6 km", + "Step 4: Calculate detour", + " Detour = 13255.6 - 8961.5 = 4294.0 km", + " Detour % = (4294.0 / 8961.5) × 100 = 47.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 47.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 33.88399, + "lon": -84.51438, + "name": "Smyrna" + }, + "end": { + "lat": -23.11694, + "lon": -46.55028, + "name": "Atibaia" + }, + "waypoint": { + "lat": -34.75705, + "lon": 138.60819, + "name": "Paralowie" + }, + "question": "Is Paralowie approximately on the direct path from Smyrna to Atibaia?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7503.0, + "via_waypoint_km": 29641.4, + "detour_km": 22138.4, + "detour_percent": 295.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Smyrna", + " End: Atibaia", + " Waypoint: Paralowie", + "Step 2: Calculate direct distance", + " Start → End: 7503.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 29641.4 km", + "Step 4: Calculate detour", + " Detour = 29641.4 - 7503.0 = 22138.4 km", + " Detour % = (22138.4 / 7503.0) × 100 = 295.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 295.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -22.74694, + "lon": -41.88167, + "name": "Armação dos Búzios" + }, + "end": { + "lat": -8.4, + "lon": 33.15, + "name": "Makongolosi" + }, + "waypoint": { + "lat": -7.70361, + "lon": 110.53611, + "name": "Jogonalan" + }, + "question": "Is Jogonalan approximately on the direct path from Armação dos Búzios to Makongolosi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8118.9, + "via_waypoint_km": 23995.0, + "detour_km": 15876.2, + "detour_percent": 195.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Armação dos Búzios", + " End: Makongolosi", + " Waypoint: Jogonalan", + "Step 2: Calculate direct distance", + " Start → End: 8118.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23995.0 km", + "Step 4: Calculate detour", + " Detour = 23995.0 - 8118.9 = 15876.2 km", + " Detour % = (15876.2 / 8118.9) × 100 = 195.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 195.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.91899, + "lon": 14.15352, + "name": "Qualiano" + }, + "end": { + "lat": 14.8314, + "lon": 120.5081, + "name": "Hermosa" + }, + "waypoint": { + "lat": 32.61528, + "lon": 51.55556, + "name": "Dorcheh Pīāz" + }, + "question": "Is Dorcheh Pīāz approximately on the direct path from Qualiano to Hermosa?", + "ground_truth": { + "answer": true, + "direct_distance_km": 10249.8, + "via_waypoint_km": 10601.5, + "detour_km": 351.7, + "detour_percent": 3.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Qualiano", + " End: Hermosa", + " Waypoint: Dorcheh Pīāz", + "Step 2: Calculate direct distance", + " Start → End: 10249.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10601.5 km", + "Step 4: Calculate detour", + " Detour = 10601.5 - 10249.8 = 351.7 km", + " Detour % = (351.7 / 10249.8) × 100 = 3.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 3.4% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 16.50588, + "lon": 121.19014, + "name": "Baggabag B" + }, + "end": { + "lat": -27.3887, + "lon": 26.61701, + "name": "Bothaville" + }, + "waypoint": { + "lat": 27.67111, + "lon": -8.14743, + "name": "Tindouf" + }, + "question": "Is Tindouf approximately on the direct path from Baggabag B to Bothaville?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11281.1, + "via_waypoint_km": 19832.3, + "detour_km": 8551.2, + "detour_percent": 75.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Baggabag B", + " End: Bothaville", + " Waypoint: Tindouf", + "Step 2: Calculate direct distance", + " Start → End: 11281.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19832.3 km", + "Step 4: Calculate detour", + " Detour = 19832.3 - 11281.1 = 8551.2 km", + " Detour % = (8551.2 / 11281.1) × 100 = 75.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 75.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 55.56853, + "lon": 42.02388, + "name": "Murom" + }, + "end": { + "lat": 48.84085, + "lon": 12.96068, + "name": "Deggendorf" + }, + "waypoint": { + "lat": 52.22096, + "lon": 20.98526, + "name": "Ochota" + }, + "question": "Is Ochota approximately on the direct path from Murom to Deggendorf?", + "ground_truth": { + "answer": true, + "direct_distance_km": 2098.2, + "via_waypoint_km": 2101.6, + "detour_km": 3.4, + "detour_percent": 0.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Murom", + " End: Deggendorf", + " Waypoint: Ochota", + "Step 2: Calculate direct distance", + " Start → End: 2098.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 2101.6 km", + "Step 4: Calculate detour", + " Detour = 2101.6 - 2098.2 = 3.4 km", + " Detour % = (3.4 / 2098.2) × 100 = 0.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.2% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 50.08309, + "lon": 8.62852, + "name": "Niederrad" + }, + "end": { + "lat": 44.84924, + "lon": 34.97471, + "name": "Sudak" + }, + "waypoint": { + "lat": 24.94253, + "lon": 84.84265, + "name": "Tekāri" + }, + "question": "Is Tekāri approximately on the direct path from Niederrad to Sudak?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2052.0, + "via_waypoint_km": 11909.0, + "detour_km": 9857.0, + "detour_percent": 480.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Niederrad", + " End: Sudak", + " Waypoint: Tekāri", + "Step 2: Calculate direct distance", + " Start → End: 2052.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11909.0 km", + "Step 4: Calculate detour", + " Detour = 11909.0 - 2052.0 = 9857.0 km", + " Detour % = (9857.0 / 2052.0) × 100 = 480.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 480.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 35.40304, + "lon": 134.77118, + "name": "Yabu" + }, + "end": { + "lat": 14.22963, + "lon": -0.86537, + "name": "Aribinda" + }, + "waypoint": { + "lat": -14.13449, + "lon": -39.73948, + "name": "Ipiaú" + }, + "question": "Is Ipiaú approximately on the direct path from Yabu to Aribinda?", + "ground_truth": { + "answer": false, + "direct_distance_km": 12786.2, + "via_waypoint_km": 22902.0, + "detour_km": 10115.8, + "detour_percent": 79.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Yabu", + " End: Aribinda", + " Waypoint: Ipiaú", + "Step 2: Calculate direct distance", + " Start → End: 12786.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22902.0 km", + "Step 4: Calculate detour", + " Detour = 22902.0 - 12786.2 = 10115.8 km", + " Detour % = (10115.8 / 12786.2) × 100 = 79.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 79.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 4.6363, + "lon": 9.4469, + "name": "Kumba" + }, + "end": { + "lat": -9.44666, + "lon": 159.94549, + "name": "Tandai" + }, + "waypoint": { + "lat": 36.26877, + "lon": 50.0041, + "name": "Qazvin" + }, + "question": "Is Qazvin approximately on the direct path from Kumba to Tandai?", + "ground_truth": { + "answer": true, + "direct_distance_km": 16717.3, + "via_waypoint_km": 17839.9, + "detour_km": 1122.6, + "detour_percent": 6.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kumba", + " End: Tandai", + " Waypoint: Qazvin", + "Step 2: Calculate direct distance", + " Start → End: 16717.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17839.9 km", + "Step 4: Calculate detour", + " Detour = 17839.9 - 16717.3 = 1122.6 km", + " Detour % = (1122.6 / 16717.3) × 100 = 6.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 6.7% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 6.76667, + "lon": 125.18333, + "name": "Magsaysay" + }, + "end": { + "lat": 9.95532, + "lon": -84.08235, + "name": "Colima" + }, + "waypoint": { + "lat": 11.10389, + "lon": 0.00944, + "name": "Sinkassé" + }, + "question": "Is Sinkassé approximately on the direct path from Magsaysay to Colima?", + "ground_truth": { + "answer": false, + "direct_distance_km": 16278.4, + "via_waypoint_km": 22790.6, + "detour_km": 6512.3, + "detour_percent": 40.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Magsaysay", + " End: Colima", + " Waypoint: Sinkassé", + "Step 2: Calculate direct distance", + " Start → End: 16278.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22790.6 km", + "Step 4: Calculate detour", + " Detour = 22790.6 - 16278.4 = 6512.3 km", + " Detour % = (6512.3 / 16278.4) × 100 = 40.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 40.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 31.13379, + "lon": 30.12969, + "name": "Kafr ad Dawwār" + }, + "end": { + "lat": 48.62565, + "lon": 9.34203, + "name": "Nürtingen" + }, + "waypoint": { + "lat": 18.79038, + "lon": 98.98468, + "name": "Chiang Mai" + }, + "question": "Is Chiang Mai approximately on the direct path from Kafr ad Dawwār to Nürtingen?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2615.2, + "via_waypoint_km": 15397.0, + "detour_km": 12781.8, + "detour_percent": 488.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kafr ad Dawwār", + " End: Nürtingen", + " Waypoint: Chiang Mai", + "Step 2: Calculate direct distance", + " Start → End: 2615.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15397.0 km", + "Step 4: Calculate detour", + " Detour = 15397.0 - 2615.2 = 12781.8 km", + " Detour % = (12781.8 / 2615.2) × 100 = 488.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 488.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.76704, + "lon": -72.99622, + "name": "East Patchogue" + }, + "end": { + "lat": -27.81611, + "lon": -50.32611, + "name": "Lages" + }, + "waypoint": { + "lat": 55.06959, + "lon": -3.61139, + "name": "Dumfries" + }, + "question": "Is Dumfries approximately on the direct path from East Patchogue to Lages?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7976.7, + "via_waypoint_km": 15406.2, + "detour_km": 7429.5, + "detour_percent": 93.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: East Patchogue", + " End: Lages", + " Waypoint: Dumfries", + "Step 2: Calculate direct distance", + " Start → End: 7976.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15406.2 km", + "Step 4: Calculate detour", + " Detour = 15406.2 - 7976.7 = 7429.5 km", + " Detour % = (7429.5 / 7976.7) × 100 = 93.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 93.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 39.7211, + "lon": 2.91093, + "name": "Inca" + }, + "end": { + "lat": 15.35075, + "lon": 121.04773, + "name": "General Tinio" + }, + "waypoint": { + "lat": 8.61565, + "lon": 6.4185, + "name": "Baro" + }, + "question": "Is Baro approximately on the direct path from Inca to General Tinio?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11164.5, + "via_waypoint_km": 15814.3, + "detour_km": 4649.7, + "detour_percent": 41.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Inca", + " End: General Tinio", + " Waypoint: Baro", + "Step 2: Calculate direct distance", + " Start → End: 11164.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15814.3 km", + "Step 4: Calculate detour", + " Detour = 15814.3 - 11164.5 = 4649.7 km", + " Detour % = (4649.7 / 11164.5) × 100 = 41.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 41.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -26.23806, + "lon": -51.07833, + "name": "Porto União" + }, + "end": { + "lat": 10.22856, + "lon": -67.47421, + "name": "Turmero" + }, + "waypoint": { + "lat": -9.74056, + "lon": -36.50278, + "name": "Limoeiro de Anadia" + }, + "question": "Is Limoeiro de Anadia approximately on the direct path from Porto União to Turmero?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4425.3, + "via_waypoint_km": 6474.2, + "detour_km": 2048.8, + "detour_percent": 46.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Porto União", + " End: Turmero", + " Waypoint: Limoeiro de Anadia", + "Step 2: Calculate direct distance", + " Start → End: 4425.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 6474.2 km", + "Step 4: Calculate detour", + " Detour = 6474.2 - 4425.3 = 2048.8 km", + " Detour % = (2048.8 / 4425.3) × 100 = 46.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 46.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 39.28065, + "lon": -80.34453, + "name": "Clarksburg" + }, + "end": { + "lat": 25.0815, + "lon": 121.58809, + "name": "Neihu" + }, + "waypoint": { + "lat": -33.9205, + "lon": 151.25522, + "name": "Coogee" + }, + "question": "Is Coogee approximately on the direct path from Clarksburg to Neihu?", + "ground_truth": { + "answer": false, + "direct_distance_km": 12504.3, + "via_waypoint_km": 22703.3, + "detour_km": 10199.0, + "detour_percent": 81.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Clarksburg", + " End: Neihu", + " Waypoint: Coogee", + "Step 2: Calculate direct distance", + " Start → End: 12504.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22703.3 km", + "Step 4: Calculate detour", + " Detour = 22703.3 - 12504.3 = 10199.0 km", + " Detour % = (10199.0 / 12504.3) × 100 = 81.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 81.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.19559, + "lon": 29.06013, + "name": "Bursa" + }, + "end": { + "lat": 18.70636, + "lon": 77.36795, + "name": "Mukher" + }, + "waypoint": { + "lat": 67.58267, + "lon": 33.41339, + "name": "Apatity" + }, + "question": "Is Apatity approximately on the direct path from Bursa to Mukher?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5171.8, + "via_waypoint_km": 9304.4, + "detour_km": 4132.6, + "detour_percent": 79.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bursa", + " End: Mukher", + " Waypoint: Apatity", + "Step 2: Calculate direct distance", + " Start → End: 5171.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9304.4 km", + "Step 4: Calculate detour", + " Detour = 9304.4 - 5171.8 = 4132.6 km", + " Detour % = (4132.6 / 5171.8) × 100 = 79.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 79.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 33.97661, + "lon": 132.77767, + "name": "Hōjō" + }, + "end": { + "lat": 53.39452, + "lon": -2.06292, + "name": "Marple" + }, + "waypoint": { + "lat": 13.6403, + "lon": 4.02649, + "name": "Dogondoutchi" + }, + "question": "Is Dogondoutchi approximately on the direct path from Hōjō to Marple?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9369.8, + "via_waypoint_km": 16893.3, + "detour_km": 7523.5, + "detour_percent": 80.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Hōjō", + " End: Marple", + " Waypoint: Dogondoutchi", + "Step 2: Calculate direct distance", + " Start → End: 9369.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16893.3 km", + "Step 4: Calculate detour", + " Detour = 16893.3 - 9369.8 = 7523.5 km", + " Detour % = (7523.5 / 9369.8) × 100 = 80.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 80.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -22.11639, + "lon": -45.05444, + "name": "São Lourenço" + }, + "end": { + "lat": -22.45667, + "lon": -68.92371, + "name": "Calama" + }, + "waypoint": { + "lat": 26.82649, + "lon": -109.64206, + "name": "Huatabampo" + }, + "question": "Is Huatabampo approximately on the direct path from São Lourenço to Calama?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2453.6, + "via_waypoint_km": 15837.6, + "detour_km": 13384.0, + "detour_percent": 545.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: São Lourenço", + " End: Calama", + " Waypoint: Huatabampo", + "Step 2: Calculate direct distance", + " Start → End: 2453.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15837.6 km", + "Step 4: Calculate detour", + " Detour = 15837.6 - 2453.6 = 13384.0 km", + " Detour % = (13384.0 / 2453.6) × 100 = 545.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 545.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -3.20778, + "lon": -43.40361, + "name": "Urbano Santos" + }, + "end": { + "lat": 3.84306, + "lon": -51.835, + "name": "Oiapoque" + }, + "waypoint": { + "lat": 45.20091, + "lon": 33.36655, + "name": "Yevpatoriya" + }, + "question": "Is Yevpatoriya approximately on the direct path from Urbano Santos to Oiapoque?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1221.7, + "via_waypoint_km": 18561.4, + "detour_km": 17339.7, + "detour_percent": 1419.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Urbano Santos", + " End: Oiapoque", + " Waypoint: Yevpatoriya", + "Step 2: Calculate direct distance", + " Start → End: 1221.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18561.4 km", + "Step 4: Calculate detour", + " Detour = 18561.4 - 1221.7 = 17339.7 km", + " Detour % = (17339.7 / 1221.7) × 100 = 1419.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1419.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 6.91002, + "lon": 3.66557, + "name": "Iperu" + }, + "end": { + "lat": 35.79167, + "lon": 127.42528, + "name": "Jinan-gun" + }, + "waypoint": { + "lat": -8.16139, + "lon": -70.76556, + "name": "Tarauacá" + }, + "question": "Is Tarauacá approximately on the direct path from Iperu to Jinan-gun?", + "ground_truth": { + "answer": false, + "direct_distance_km": 12471.2, + "via_waypoint_km": 24849.9, + "detour_km": 12378.7, + "detour_percent": 99.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Iperu", + " End: Jinan-gun", + " Waypoint: Tarauacá", + "Step 2: Calculate direct distance", + " Start → End: 12471.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24849.9 km", + "Step 4: Calculate detour", + " Detour = 24849.9 - 12471.2 = 12378.7 km", + " Detour % = (12378.7 / 12471.2) × 100 = 99.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 99.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 12.50429, + "lon": 79.60556, + "name": "Vandavāsi" + }, + "end": { + "lat": 10.76695, + "lon": 75.92523, + "name": "Ponnāni" + }, + "waypoint": { + "lat": -15.39053, + "lon": 28.18986, + "name": "Namalombwe" + }, + "question": "Is Namalombwe approximately on the direct path from Vandavāsi to Ponnāni?", + "ground_truth": { + "answer": false, + "direct_distance_km": 444.9, + "via_waypoint_km": 12459.1, + "detour_km": 12014.2, + "detour_percent": 2700.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Vandavāsi", + " End: Ponnāni", + " Waypoint: Namalombwe", + "Step 2: Calculate direct distance", + " Start → End: 444.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12459.1 km", + "Step 4: Calculate detour", + " Detour = 12459.1 - 444.9 = 12014.2 km", + " Detour % = (12014.2 / 444.9) × 100 = 2700.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2700.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -27.1974, + "lon": 25.98311, + "name": "Wolmaransstad" + }, + "end": { + "lat": 40.75839, + "lon": -82.51545, + "name": "Mansfield" + }, + "waypoint": { + "lat": 53.9297, + "lon": 37.92148, + "name": "Kireyevsk" + }, + "question": "Is Kireyevsk approximately on the direct path from Wolmaransstad to Mansfield?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13433.2, + "via_waypoint_km": 17148.3, + "detour_km": 3715.1, + "detour_percent": 27.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Wolmaransstad", + " End: Mansfield", + " Waypoint: Kireyevsk", + "Step 2: Calculate direct distance", + " Start → End: 13433.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17148.3 km", + "Step 4: Calculate detour", + " Detour = 17148.3 - 13433.2 = 3715.1 km", + " Detour % = (3715.1 / 13433.2) × 100 = 27.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 27.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -9.07444, + "lon": -44.35861, + "name": "Bom Jesus" + }, + "end": { + "lat": -9.805, + "lon": -37.68444, + "name": "Poço Redondo" + }, + "waypoint": { + "lat": 11.68465, + "lon": 75.65493, + "name": "Nādāpuram" + }, + "question": "Is Nādāpuram approximately on the direct path from Bom Jesus to Poço Redondo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 736.6, + "via_waypoint_km": 26205.6, + "detour_km": 25469.1, + "detour_percent": 3457.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bom Jesus", + " End: Poço Redondo", + " Waypoint: Nādāpuram", + "Step 2: Calculate direct distance", + " Start → End: 736.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26205.6 km", + "Step 4: Calculate detour", + " Detour = 26205.6 - 736.6 = 25469.1 km", + " Detour % = (25469.1 / 736.6) × 100 = 3457.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 3457.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 30.29759, + "lon": -9.46597, + "name": "Lqoliaa" + }, + "end": { + "lat": -9.37139, + "lon": -36.24083, + "name": "Viçosa" + }, + "waypoint": { + "lat": 42.35664, + "lon": -3.67321, + "name": "Gamonal" + }, + "question": "Is Gamonal approximately on the direct path from Lqoliaa to Viçosa?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5257.4, + "via_waypoint_km": 8073.6, + "detour_km": 2816.2, + "detour_percent": 53.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Lqoliaa", + " End: Viçosa", + " Waypoint: Gamonal", + "Step 2: Calculate direct distance", + " Start → End: 5257.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 8073.6 km", + "Step 4: Calculate detour", + " Detour = 8073.6 - 5257.4 = 2816.2 km", + " Detour % = (2816.2 / 5257.4) × 100 = 53.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 53.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 47.17176, + "lon": -122.51846, + "name": "Lakewood" + }, + "end": { + "lat": 36.10124, + "lon": 1.19949, + "name": "Oued Sly" + }, + "waypoint": { + "lat": 50.0885, + "lon": 45.41277, + "name": "Kamyshin" + }, + "question": "Is Kamyshin approximately on the direct path from Lakewood to Oued Sly?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9194.8, + "via_waypoint_km": 12981.4, + "detour_km": 3786.6, + "detour_percent": 41.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Lakewood", + " End: Oued Sly", + " Waypoint: Kamyshin", + "Step 2: Calculate direct distance", + " Start → End: 9194.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12981.4 km", + "Step 4: Calculate detour", + " Detour = 12981.4 - 9194.8 = 3786.6 km", + " Detour % = (3786.6 / 9194.8) × 100 = 41.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 41.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 28.57128, + "lon": 109.28837, + "name": "Erong" + }, + "end": { + "lat": 26.64862, + "lon": 84.91656, + "name": "Mothīhāri" + }, + "waypoint": { + "lat": 26.4775, + "lon": 31.80394, + "name": "Al Minshāh" + }, + "question": "Is Al Minshāh approximately on the direct path from Erong to Mothīhāri?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2406.8, + "via_waypoint_km": 12741.5, + "detour_km": 10334.7, + "detour_percent": 429.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Erong", + " End: Mothīhāri", + " Waypoint: Al Minshāh", + "Step 2: Calculate direct distance", + " Start → End: 2406.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12741.5 km", + "Step 4: Calculate detour", + " Detour = 12741.5 - 2406.8 = 10334.7 km", + " Detour % = (10334.7 / 2406.8) × 100 = 429.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 429.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -25.20791, + "lon": -57.53202, + "name": "Mariano Roque Alonso" + }, + "end": { + "lat": 22.76843, + "lon": -102.58141, + "name": "Zacatecas" + }, + "waypoint": { + "lat": 38.66089, + "lon": -90.42262, + "name": "Creve Coeur" + }, + "question": "Is Creve Coeur approximately on the direct path from Mariano Roque Alonso to Zacatecas?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7213.9, + "via_waypoint_km": 9994.6, + "detour_km": 2780.7, + "detour_percent": 38.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mariano Roque Alonso", + " End: Zacatecas", + " Waypoint: Creve Coeur", + "Step 2: Calculate direct distance", + " Start → End: 7213.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9994.6 km", + "Step 4: Calculate detour", + " Detour = 9994.6 - 7213.9 = 2780.7 km", + " Detour % = (2780.7 / 7213.9) × 100 = 38.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 38.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 44.05755, + "lon": 12.56528, + "name": "Rimini" + }, + "end": { + "lat": -25.42126, + "lon": -57.54725, + "name": "San Antonio" + }, + "waypoint": { + "lat": 8.30306, + "lon": 30.14056, + "name": "Leer" + }, + "question": "Is Leer approximately on the direct path from Rimini to San Antonio?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10503.2, + "via_waypoint_km": 14497.3, + "detour_km": 3994.2, + "detour_percent": 38.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Rimini", + " End: San Antonio", + " Waypoint: Leer", + "Step 2: Calculate direct distance", + " Start → End: 10503.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14497.3 km", + "Step 4: Calculate detour", + " Detour = 14497.3 - 10503.2 = 3994.2 km", + " Detour % = (3994.2 / 10503.2) × 100 = 38.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 38.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 47.33004, + "lon": 17.4674, + "name": "Pápa" + }, + "end": { + "lat": 41.70011, + "lon": -70.29947, + "name": "Barnstable" + }, + "waypoint": { + "lat": 30.68494, + "lon": 107.63145, + "name": "Lirang" + }, + "question": "Is Lirang approximately on the direct path from Pápa to Barnstable?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6606.4, + "via_waypoint_km": 19531.9, + "detour_km": 12925.5, + "detour_percent": 195.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Pápa", + " End: Barnstable", + " Waypoint: Lirang", + "Step 2: Calculate direct distance", + " Start → End: 6606.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19531.9 km", + "Step 4: Calculate detour", + " Detour = 19531.9 - 6606.4 = 12925.5 km", + " Detour % = (12925.5 / 6606.4) × 100 = 195.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 195.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 30.70838, + "lon": 49.16266, + "name": "Shahrak-e Shahīd Chamrān" + }, + "end": { + "lat": 39.47391, + "lon": -0.37966, + "name": "Valencia" + }, + "waypoint": { + "lat": 13.73064, + "lon": 5.29777, + "name": "Illela" + }, + "question": "Is Illela approximately on the direct path from Shahrak-e Shahīd Chamrān to Valencia?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4553.3, + "via_waypoint_km": 7771.5, + "detour_km": 3218.2, + "detour_percent": 70.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Shahrak-e Shahīd Chamrān", + " End: Valencia", + " Waypoint: Illela", + "Step 2: Calculate direct distance", + " Start → End: 4553.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 7771.5 km", + "Step 4: Calculate detour", + " Detour = 7771.5 - 4553.3 = 3218.2 km", + " Detour % = (3218.2 / 4553.3) × 100 = 70.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 70.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 38.6703, + "lon": 26.75656, + "name": "Foça" + }, + "end": { + "lat": 28.99242, + "lon": 116.66754, + "name": "Poyang" + }, + "waypoint": { + "lat": 21.38602, + "lon": 103.02301, + "name": "Dien Bien Phu" + }, + "question": "Is Dien Bien Phu approximately on the direct path from Foça to Poyang?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8040.2, + "via_waypoint_km": 8993.3, + "detour_km": 953.1, + "detour_percent": 11.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Foça", + " End: Poyang", + " Waypoint: Dien Bien Phu", + "Step 2: Calculate direct distance", + " Start → End: 8040.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 8993.3 km", + "Step 4: Calculate detour", + " Detour = 8993.3 - 8040.2 = 953.1 km", + " Detour % = (953.1 / 8040.2) × 100 = 11.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 11.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -4.15869, + "lon": 19.8619, + "name": "Dibaya-Lubwe" + }, + "end": { + "lat": -22.23, + "lon": -45.93639, + "name": "Pouso Alegre" + }, + "waypoint": { + "lat": -37.86667, + "lon": 145.28333, + "name": "Boronia" + }, + "question": "Is Boronia approximately on the direct path from Dibaya-Lubwe to Pouso Alegre?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7344.6, + "via_waypoint_km": 25942.3, + "detour_km": 18597.7, + "detour_percent": 253.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Dibaya-Lubwe", + " End: Pouso Alegre", + " Waypoint: Boronia", + "Step 2: Calculate direct distance", + " Start → End: 7344.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25942.3 km", + "Step 4: Calculate detour", + " Detour = 25942.3 - 7344.6 = 18597.7 km", + " Detour % = (18597.7 / 7344.6) × 100 = 253.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 253.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -14.21004, + "lon": 31.7629, + "name": "Sinda" + }, + "end": { + "lat": 40.89722, + "lon": 69.35056, + "name": "Piskent" + }, + "waypoint": { + "lat": -37.78333, + "lon": 175.28333, + "name": "Hamilton" + }, + "question": "Is Hamilton approximately on the direct path from Sinda to Piskent?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7246.5, + "via_waypoint_km": 26927.2, + "detour_km": 19680.7, + "detour_percent": 271.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sinda", + " End: Piskent", + " Waypoint: Hamilton", + "Step 2: Calculate direct distance", + " Start → End: 7246.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26927.2 km", + "Step 4: Calculate detour", + " Detour = 26927.2 - 7246.5 = 19680.7 km", + " Detour % = (19680.7 / 7246.5) × 100 = 271.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 271.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 45.41679, + "lon": -122.64009, + "name": "Oak Grove" + }, + "end": { + "lat": 52.0632, + "lon": -1.34222, + "name": "Banbury" + }, + "waypoint": { + "lat": -7.48179, + "lon": -36.13222, + "name": "Boqueirão" + }, + "question": "Is Boqueirão approximately on the direct path from Oak Grove to Banbury?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7814.0, + "via_waypoint_km": 17728.8, + "detour_km": 9914.8, + "detour_percent": 126.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Oak Grove", + " End: Banbury", + " Waypoint: Boqueirão", + "Step 2: Calculate direct distance", + " Start → End: 7814.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17728.8 km", + "Step 4: Calculate detour", + " Detour = 17728.8 - 7814.0 = 9914.8 km", + " Detour % = (9914.8 / 7814.0) × 100 = 126.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 126.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.82732, + "lon": -73.85013, + "name": "Unionport" + }, + "end": { + "lat": 37.9577, + "lon": -121.29078, + "name": "Stockton" + }, + "waypoint": { + "lat": -31.83291, + "lon": 115.7759, + "name": "Duncraig" + }, + "question": "Is Duncraig approximately on the direct path from Unionport to Stockton?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4039.3, + "via_waypoint_km": 33543.0, + "detour_km": 29503.7, + "detour_percent": 730.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Unionport", + " End: Stockton", + " Waypoint: Duncraig", + "Step 2: Calculate direct distance", + " Start → End: 4039.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 33543.0 km", + "Step 4: Calculate detour", + " Detour = 33543.0 - 4039.3 = 29503.7 km", + " Detour % = (29503.7 / 4039.3) × 100 = 730.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 730.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -27.91828, + "lon": 153.33275, + "name": "Helensvale" + }, + "end": { + "lat": -9.50194, + "lon": -36.02278, + "name": "Atalaia" + }, + "waypoint": { + "lat": 33.51003, + "lon": 105.1812, + "name": "Yulong" + }, + "question": "Is Yulong approximately on the direct path from Helensvale to Atalaia?", + "ground_truth": { + "answer": false, + "direct_distance_km": 15734.1, + "via_waypoint_km": 23749.4, + "detour_km": 8015.3, + "detour_percent": 50.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Helensvale", + " End: Atalaia", + " Waypoint: Yulong", + "Step 2: Calculate direct distance", + " Start → End: 15734.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23749.4 km", + "Step 4: Calculate detour", + " Detour = 23749.4 - 15734.1 = 8015.3 km", + " Detour % = (8015.3 / 15734.1) × 100 = 50.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 50.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 21.19147, + "lon": 81.27619, + "name": "Durg" + }, + "end": { + "lat": 38.06847, + "lon": -78.88947, + "name": "Waynesboro" + }, + "waypoint": { + "lat": 38.08125, + "lon": 13.28947, + "name": "Monreale" + }, + "question": "Is Monreale approximately on the direct path from Durg to Waynesboro?", + "ground_truth": { + "answer": true, + "direct_distance_km": 13107.5, + "via_waypoint_km": 14369.6, + "detour_km": 1262.1, + "detour_percent": 9.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Durg", + " End: Waynesboro", + " Waypoint: Monreale", + "Step 2: Calculate direct distance", + " Start → End: 13107.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14369.6 km", + "Step 4: Calculate detour", + " Detour = 14369.6 - 13107.5 = 1262.1 km", + " Detour % = (1262.1 / 13107.5) × 100 = 9.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 9.6% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 34.84218, + "lon": 1.54697, + "name": "’Aïn Deheb" + }, + "end": { + "lat": 47.66667, + "lon": 19.68333, + "name": "Hatvan" + }, + "waypoint": { + "lat": 53.70291, + "lon": -1.6337, + "name": "Batley" + }, + "question": "Is Batley approximately on the direct path from ’Aïn Deheb to Hatvan?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2071.7, + "via_waypoint_km": 3748.7, + "detour_km": 1677.0, + "detour_percent": 80.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: ’Aïn Deheb", + " End: Hatvan", + " Waypoint: Batley", + "Step 2: Calculate direct distance", + " Start → End: 2071.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 3748.7 km", + "Step 4: Calculate detour", + " Detour = 3748.7 - 2071.7 = 1677.0 km", + " Detour % = (1677.0 / 2071.7) × 100 = 80.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 80.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -26.67028, + "lon": -57.14073, + "name": "San Juan Bautista" + }, + "end": { + "lat": 8.12366, + "lon": -63.54694, + "name": "Ciudad Bolívar" + }, + "waypoint": { + "lat": 35.45139, + "lon": 2.90583, + "name": "A��n Oussera" + }, + "question": "Is Aïn Oussera approximately on the direct path from San Juan Bautista to Ciudad Bolívar?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3930.2, + "via_waypoint_km": 16706.4, + "detour_km": 12776.3, + "detour_percent": 325.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: San Juan Bautista", + " End: Ciudad Bolívar", + " Waypoint: Aïn Oussera", + "Step 2: Calculate direct distance", + " Start → End: 3930.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16706.4 km", + "Step 4: Calculate detour", + " Detour = 16706.4 - 3930.2 = 12776.3 km", + " Detour % = (12776.3 / 3930.2) × 100 = 325.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 325.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 38.49221, + "lon": 42.28269, + "name": "Tatvan" + }, + "end": { + "lat": 10.34963, + "lon": 2.37906, + "name": "Sinendé" + }, + "waypoint": { + "lat": 13.63222, + "lon": -86.47399, + "name": "Ocotal" + }, + "question": "Is Ocotal approximately on the direct path from Tatvan to Sinendé?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5045.4, + "via_waypoint_km": 21762.2, + "detour_km": 16716.8, + "detour_percent": 331.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tatvan", + " End: Sinendé", + " Waypoint: Ocotal", + "Step 2: Calculate direct distance", + " Start → End: 5045.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21762.2 km", + "Step 4: Calculate detour", + " Detour = 21762.2 - 5045.4 = 16716.8 km", + " Detour % = (16716.8 / 5045.4) × 100 = 331.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 331.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 43.75386, + "lon": -79.28215, + "name": "Dorset Park" + }, + "end": { + "lat": 6.82055, + "lon": -5.27674, + "name": "Yamoussoukro" + }, + "waypoint": { + "lat": 9.59972, + "lon": 43.335, + "name": "Tog Wajaale" + }, + "question": "Is Tog Wajaale approximately on the direct path from Dorset Park to Yamoussoukro?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8201.1, + "via_waypoint_km": 17094.7, + "detour_km": 8893.5, + "detour_percent": 108.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Dorset Park", + " End: Yamoussoukro", + " Waypoint: Tog Wajaale", + "Step 2: Calculate direct distance", + " Start → End: 8201.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17094.7 km", + "Step 4: Calculate detour", + " Detour = 17094.7 - 8201.1 = 8893.5 km", + " Detour % = (8893.5 / 8201.1) × 100 = 108.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 108.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 58.30348, + "lon": 48.33745, + "name": "Kotel’nich" + }, + "end": { + "lat": 6.66819, + "lon": 9.16453, + "name": "Obudu" + }, + "waypoint": { + "lat": 7.00833, + "lon": 125.08944, + "name": "Kidapawan" + }, + "question": "Is Kidapawan approximately on the direct path from Kotel’nich to Obudu?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6646.9, + "via_waypoint_km": 21319.4, + "detour_km": 14672.5, + "detour_percent": 220.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kotel’nich", + " End: Obudu", + " Waypoint: Kidapawan", + "Step 2: Calculate direct distance", + " Start → End: 6646.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21319.4 km", + "Step 4: Calculate detour", + " Detour = 21319.4 - 6646.9 = 14672.5 km", + " Detour % = (14672.5 / 6646.9) × 100 = 220.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 220.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 41.72059, + "lon": -87.70172, + "name": "Evergreen Park" + }, + "end": { + "lat": 20.90686, + "lon": -103.9769, + "name": "Magdalena" + }, + "waypoint": { + "lat": -37.814, + "lon": 144.96332, + "name": "Melbourne" + }, + "question": "Is Melbourne approximately on the direct path from Evergreen Park to Magdalena?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2772.5, + "via_waypoint_km": 28789.3, + "detour_km": 26016.9, + "detour_percent": 938.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Evergreen Park", + " End: Magdalena", + " Waypoint: Melbourne", + "Step 2: Calculate direct distance", + " Start → End: 2772.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 28789.3 km", + "Step 4: Calculate detour", + " Detour = 28789.3 - 2772.5 = 26016.9 km", + " Detour % = (26016.9 / 2772.5) × 100 = 938.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 938.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 47.02076, + "lon": 8.65414, + "name": "Schwyz" + }, + "end": { + "lat": 51.12753, + "lon": 16.96186, + "name": "Osiedle Kosmonautów" + }, + "waypoint": { + "lat": 7.06205, + "lon": 38.47635, + "name": "Awasa" + }, + "question": "Is Awasa approximately on the direct path from Schwyz to Osiedle Kosmonautów?", + "ground_truth": { + "answer": false, + "direct_distance_km": 757.4, + "via_waypoint_km": 10555.9, + "detour_km": 9798.5, + "detour_percent": 1293.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Schwyz", + " End: Osiedle Kosmonautów", + " Waypoint: Awasa", + "Step 2: Calculate direct distance", + " Start → End: 757.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10555.9 km", + "Step 4: Calculate detour", + " Detour = 10555.9 - 757.4 = 9798.5 km", + " Detour % = (9798.5 / 757.4) × 100 = 1293.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1293.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -37.86667, + "lon": 145.28333, + "name": "Boronia" + }, + "end": { + "lat": -29.66917, + "lon": -52.78889, + "name": "Candelária" + }, + "waypoint": { + "lat": 23.25178, + "lon": 91.45407, + "name": "Belonia" + }, + "question": "Is Belonia approximately on the direct path from Boronia to Candelária?", + "ground_truth": { + "answer": false, + "direct_distance_km": 12273.8, + "via_waypoint_km": 25216.8, + "detour_km": 12942.9, + "detour_percent": 105.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Boronia", + " End: Candelária", + " Waypoint: Belonia", + "Step 2: Calculate direct distance", + " Start → End: 12273.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25216.8 km", + "Step 4: Calculate detour", + " Detour = 25216.8 - 12273.8 = 12942.9 km", + " Detour % = (12942.9 / 12273.8) × 100 = 105.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 105.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -10.83444, + "lon": -38.53583, + "name": "Ribeira do Pombal" + }, + "end": { + "lat": -7.02194, + "lon": -45.48111, + "name": "São Raimundo das Mangabeiras" + }, + "waypoint": { + "lat": 43.63675, + "lon": 1.38971, + "name": "Blagnac" + }, + "question": "Is Blagnac approximately on the direct path from Ribeira do Pombal to São Raimundo das Mangabeiras?", + "ground_truth": { + "answer": false, + "direct_distance_km": 872.7, + "via_waypoint_km": 14617.4, + "detour_km": 13744.8, + "detour_percent": 1575.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ribeira do Pombal", + " End: São Raimundo das Mangabeiras", + " Waypoint: Blagnac", + "Step 2: Calculate direct distance", + " Start → End: 872.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14617.4 km", + "Step 4: Calculate detour", + " Detour = 14617.4 - 872.7 = 13744.8 km", + " Detour % = (13744.8 / 872.7) × 100 = 1575.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1575.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 7.69644, + "lon": -6.55352, + "name": "Vrouo" + }, + "end": { + "lat": 55.37952, + "lon": 39.04122, + "name": "Yegor’yevsk" + }, + "waypoint": { + "lat": 19.27032, + "lon": -98.95088, + "name": "Xico" + }, + "question": "Is Xico approximately on the direct path from Vrouo to Yegor’yevsk?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6641.0, + "via_waypoint_km": 20793.6, + "detour_km": 14152.6, + "detour_percent": 213.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Vrouo", + " End: Yegor’yevsk", + " Waypoint: Xico", + "Step 2: Calculate direct distance", + " Start → End: 6641.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20793.6 km", + "Step 4: Calculate detour", + " Detour = 20793.6 - 6641.0 = 14152.6 km", + " Detour % = (14152.6 / 6641.0) × 100 = 213.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 213.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 27.44023, + "lon": 30.81712, + "name": "Al Qūşīyah" + }, + "end": { + "lat": 21.30868, + "lon": 76.23026, + "name": "Burhānpur" + }, + "waypoint": { + "lat": -27.09639, + "lon": -52.61833, + "name": "Chapecó" + }, + "question": "Is Chapecó approximately on the direct path from Al Qūşīyah to Burhānpur?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4624.9, + "via_waypoint_km": 25593.0, + "detour_km": 20968.0, + "detour_percent": 453.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Al Qūşīyah", + " End: Burhānpur", + " Waypoint: Chapecó", + "Step 2: Calculate direct distance", + " Start → End: 4624.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25593.0 km", + "Step 4: Calculate detour", + " Detour = 25593.0 - 4624.9 = 20968.0 km", + " Detour % = (20968.0 / 4624.9) × 100 = 453.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 453.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -28.46957, + "lon": -65.78524, + "name": "Catamarca" + }, + "end": { + "lat": -27.15778, + "lon": -48.55306, + "name": "Porto Belo" + }, + "waypoint": { + "lat": 30.75438, + "lon": 31.44016, + "name": "Diyarb Najm" + }, + "question": "Is Diyarb Najm approximately on the direct path from Catamarca to Porto Belo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1699.6, + "via_waypoint_km": 22858.6, + "detour_km": 21159.1, + "detour_percent": 1245.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Catamarca", + " End: Porto Belo", + " Waypoint: Diyarb Najm", + "Step 2: Calculate direct distance", + " Start → End: 1699.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22858.6 km", + "Step 4: Calculate detour", + " Detour = 22858.6 - 1699.6 = 21159.1 km", + " Detour % = (21159.1 / 1699.6) × 100 = 1245.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1245.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 52.15833, + "lon": 4.52917, + "name": "Leiderdorp" + }, + "end": { + "lat": 40.60822, + "lon": -74.51803, + "name": "Warren Township" + }, + "waypoint": { + "lat": 12.0357, + "lon": -4.3987, + "name": "Bama" + }, + "question": "Is Bama approximately on the direct path from Leiderdorp to Warren Township?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5887.9, + "via_waypoint_km": 12000.3, + "detour_km": 6112.4, + "detour_percent": 103.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Leiderdorp", + " End: Warren Township", + " Waypoint: Bama", + "Step 2: Calculate direct distance", + " Start → End: 5887.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12000.3 km", + "Step 4: Calculate detour", + " Detour = 12000.3 - 5887.9 = 6112.4 km", + " Detour % = (6112.4 / 5887.9) × 100 = 103.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 103.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 33.55391, + "lon": -117.21392, + "name": "Murrieta" + }, + "end": { + "lat": 10.91843, + "lon": -74.76459, + "name": "Soledad" + }, + "waypoint": { + "lat": 7.69644, + "lon": -6.55352, + "name": "Vrouo" + }, + "question": "Is Vrouo approximately on the direct path from Murrieta to Soledad?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4991.4, + "via_waypoint_km": 18882.5, + "detour_km": 13891.1, + "detour_percent": 278.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Murrieta", + " End: Soledad", + " Waypoint: Vrouo", + "Step 2: Calculate direct distance", + " Start → End: 4991.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18882.5 km", + "Step 4: Calculate detour", + " Detour = 18882.5 - 4991.4 = 13891.1 km", + " Detour % = (13891.1 / 4991.4) × 100 = 278.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 278.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 37.17526, + "lon": -113.28995, + "name": "Hurricane" + }, + "end": { + "lat": 53.13253, + "lon": 26.00774, + "name": "Baranovichi" + }, + "waypoint": { + "lat": 11.43518, + "lon": 77.72369, + "name": "Tattānkuttai" + }, + "question": "Is Tattānkuttai approximately on the direct path from Hurricane to Baranovichi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9234.7, + "via_waypoint_km": 20990.2, + "detour_km": 11755.5, + "detour_percent": 127.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Hurricane", + " End: Baranovichi", + " Waypoint: Tattānkuttai", + "Step 2: Calculate direct distance", + " Start → End: 9234.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20990.2 km", + "Step 4: Calculate detour", + " Detour = 20990.2 - 9234.7 = 11755.5 km", + " Detour % = (11755.5 / 9234.7) × 100 = 127.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 127.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 41.223, + "lon": -111.97383, + "name": "Ogden" + }, + "end": { + "lat": 18.94498, + "lon": -69.79331, + "name": "Sabana Grande de Boyá" + }, + "waypoint": { + "lat": -3.36667, + "lon": 36.68333, + "name": "Arusha" + }, + "question": "Is Arusha approximately on the direct path from Ogden to Sabana Grande de Boyá?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4689.4, + "via_waypoint_km": 26632.6, + "detour_km": 21943.2, + "detour_percent": 467.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ogden", + " End: Sabana Grande de Boyá", + " Waypoint: Arusha", + "Step 2: Calculate direct distance", + " Start → End: 4689.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26632.6 km", + "Step 4: Calculate detour", + " Detour = 26632.6 - 4689.4 = 21943.2 km", + " Detour % = (21943.2 / 4689.4) × 100 = 467.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 467.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 16.4625, + "lon": -15.70083, + "name": "Richard-Toll" + }, + "end": { + "lat": 14.48585, + "lon": -90.80437, + "name": "Alotenango" + }, + "waypoint": { + "lat": 27.77605, + "lon": 120.65859, + "name": "Rui’an" + }, + "question": "Is Rui’an approximately on the direct path from Richard-Toll to Alotenango?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8002.2, + "via_waypoint_km": 27432.2, + "detour_km": 19430.0, + "detour_percent": 242.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Richard-Toll", + " End: Alotenango", + " Waypoint: Rui’an", + "Step 2: Calculate direct distance", + " Start → End: 8002.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27432.2 km", + "Step 4: Calculate detour", + " Detour = 27432.2 - 8002.2 = 19430.0 km", + " Detour % = (19430.0 / 8002.2) × 100 = 242.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 242.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 10.69623, + "lon": 1.06307, + "name": "Matéri" + }, + "end": { + "lat": 41.19064, + "lon": 40.97935, + "name": "Ardeşen" + }, + "waypoint": { + "lat": 64.59417, + "lon": 39.81028, + "name": "Yagry" + }, + "question": "Is Yagry approximately on the direct path from Matéri to Ardeşen?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5161.6, + "via_waypoint_km": 9301.3, + "detour_km": 4139.7, + "detour_percent": 80.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Matéri", + " End: Ardeşen", + " Waypoint: Yagry", + "Step 2: Calculate direct distance", + " Start → End: 5161.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9301.3 km", + "Step 4: Calculate detour", + " Detour = 9301.3 - 5161.6 = 4139.7 km", + " Detour % = (4139.7 / 5161.6) × 100 = 80.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 80.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -33.73333, + "lon": 150.93284, + "name": "Glenwood" + }, + "end": { + "lat": -1.19347, + "lon": 34.61967, + "name": "Kihancha" + }, + "waypoint": { + "lat": 36.1082, + "lon": 32.96113, + "name": "Bozyazı" + }, + "question": "Is Bozyazı approximately on the direct path from Glenwood to Kihancha?", + "ground_truth": { + "answer": false, + "direct_distance_km": 12333.3, + "via_waypoint_km": 18603.4, + "detour_km": 6270.1, + "detour_percent": 50.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Glenwood", + " End: Kihancha", + " Waypoint: Bozyazı", + "Step 2: Calculate direct distance", + " Start → End: 12333.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18603.4 km", + "Step 4: Calculate detour", + " Detour = 18603.4 - 12333.3 = 6270.1 km", + " Detour % = (6270.1 / 12333.3) × 100 = 50.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 50.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 38.85739, + "lon": 77.50474, + "name": "Dunbage" + }, + "end": { + "lat": -33.85, + "lon": 151.03333, + "name": "Auburn" + }, + "waypoint": { + "lat": 42.48059, + "lon": -83.47549, + "name": "Novi" + }, + "question": "Is Novi approximately on the direct path from Dunbage to Auburn?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11070.7, + "via_waypoint_km": 26006.8, + "detour_km": 14936.1, + "detour_percent": 134.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Dunbage", + " End: Auburn", + " Waypoint: Novi", + "Step 2: Calculate direct distance", + " Start → End: 11070.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26006.8 km", + "Step 4: Calculate detour", + " Detour = 26006.8 - 11070.7 = 14936.1 km", + " Detour % = (14936.1 / 11070.7) × 100 = 134.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 134.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 48.39492, + "lon": 21.65871, + "name": "Sátoraljaújhely" + }, + "end": { + "lat": 55.45978, + "lon": 38.44358, + "name": "Beloozyorskiy" + }, + "waypoint": { + "lat": -28.25504, + "lon": -58.62386, + "name": "Saladas" + }, + "question": "Is Saladas approximately on the direct path from Sátoraljaújhely to Beloozyorskiy?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1387.8, + "via_waypoint_km": 24643.3, + "detour_km": 23255.5, + "detour_percent": 1675.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sátoraljaújhely", + " End: Beloozyorskiy", + " Waypoint: Saladas", + "Step 2: Calculate direct distance", + " Start → End: 1387.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24643.3 km", + "Step 4: Calculate detour", + " Detour = 24643.3 - 1387.8 = 23255.5 km", + " Detour % = (23255.5 / 1387.8) × 100 = 1675.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1675.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 30.17083, + "lon": -81.83549, + "name": "Oakleaf Plantation" + }, + "end": { + "lat": 18.10808, + "lon": -15.92666, + "name": "Dar Naim" + }, + "waypoint": { + "lat": -21.75227, + "lon": -41.33044, + "name": "Campos dos Goytacazes" + }, + "question": "Is Campos dos Goytacazes approximately on the direct path from Oakleaf Plantation to Dar Naim?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6733.2, + "via_waypoint_km": 12439.9, + "detour_km": 5706.8, + "detour_percent": 84.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Oakleaf Plantation", + " End: Dar Naim", + " Waypoint: Campos dos Goytacazes", + "Step 2: Calculate direct distance", + " Start → End: 6733.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12439.9 km", + "Step 4: Calculate detour", + " Detour = 12439.9 - 6733.2 = 5706.8 km", + " Detour % = (5706.8 / 6733.2) × 100 = 84.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 84.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 29.8742, + "lon": 52.8025, + "name": "Marvdasht" + }, + "end": { + "lat": 31.40398, + "lon": 31.73778, + "name": "Kafr al Baţţīkh" + }, + "waypoint": { + "lat": 28.50167, + "lon": -81.54091, + "name": "Lake Butler" + }, + "question": "Is Lake Butler approximately on the direct path from Marvdasht to Kafr al Baţţīkh?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2019.4, + "via_waypoint_km": 22227.1, + "detour_km": 20207.7, + "detour_percent": 1000.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Marvdasht", + " End: Kafr al Baţţīkh", + " Waypoint: Lake Butler", + "Step 2: Calculate direct distance", + " Start → End: 2019.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22227.1 km", + "Step 4: Calculate detour", + " Detour = 22227.1 - 2019.4 = 20207.7 km", + " Detour % = (20207.7 / 2019.4) × 100 = 1000.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1000.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -36.88012, + "lon": 174.61975, + "name": "Henderson" + }, + "end": { + "lat": 40.58654, + "lon": -122.39168, + "name": "Redding" + }, + "waypoint": { + "lat": 35.37675, + "lon": 5.90001, + "name": "Aïn Touta" + }, + "question": "Is Aïn Touta approximately on the direct path from Henderson to Redding?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10739.0, + "via_waypoint_km": 29041.3, + "detour_km": 18302.3, + "detour_percent": 170.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Henderson", + " End: Redding", + " Waypoint: Aïn Touta", + "Step 2: Calculate direct distance", + " Start → End: 10739.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 29041.3 km", + "Step 4: Calculate detour", + " Detour = 29041.3 - 10739.0 = 18302.3 km", + " Detour % = (18302.3 / 10739.0) × 100 = 170.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 170.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 27.03895, + "lon": 77.04849, + "name": "Bhusawar" + }, + "end": { + "lat": 30.40472, + "lon": 71.86269, + "name": "Kabirwala" + }, + "waypoint": { + "lat": 32.6491, + "lon": 73.01059, + "name": "Khewra" + }, + "question": "Is Khewra approximately on the direct path from Bhusawar to Kabirwala?", + "ground_truth": { + "answer": false, + "direct_distance_km": 629.0, + "via_waypoint_km": 1007.5, + "detour_km": 378.5, + "detour_percent": 60.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bhusawar", + " End: Kabirwala", + " Waypoint: Khewra", + "Step 2: Calculate direct distance", + " Start → End: 629.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 1007.5 km", + "Step 4: Calculate detour", + " Detour = 1007.5 - 629.0 = 378.5 km", + " Detour % = (378.5 / 629.0) × 100 = 60.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 60.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 3.10628, + "lon": 101.66761, + "name": "Bukit Kerinchi" + }, + "end": { + "lat": 39.61833, + "lon": 122.00806, + "name": "Wafangdian" + }, + "waypoint": { + "lat": 38.06134, + "lon": 23.58971, + "name": "Asprópyrgos" + }, + "question": "Is Asprópyrgos approximately on the direct path from Bukit Kerinchi to Wafangdian?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4548.7, + "via_waypoint_km": 16789.2, + "detour_km": 12240.5, + "detour_percent": 269.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bukit Kerinchi", + " End: Wafangdian", + " Waypoint: Asprópyrgos", + "Step 2: Calculate direct distance", + " Start → End: 4548.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16789.2 km", + "Step 4: Calculate detour", + " Detour = 16789.2 - 4548.7 = 12240.5 km", + " Detour % = (12240.5 / 4548.7) × 100 = 269.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 269.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 39.94729, + "lon": -0.06313, + "name": "Almassora" + }, + "end": { + "lat": 45.03341, + "lon": -79.31633, + "name": "Bracebridge" + }, + "waypoint": { + "lat": 21.0028, + "lon": 105.8151, + "name": "Vinhomes Royal City" + }, + "question": "Is Vinhomes Royal City approximately on the direct path from Almassora to Bracebridge?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6256.7, + "via_waypoint_km": 22442.6, + "detour_km": 16185.9, + "detour_percent": 258.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Almassora", + " End: Bracebridge", + " Waypoint: Vinhomes Royal City", + "Step 2: Calculate direct distance", + " Start → End: 6256.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22442.6 km", + "Step 4: Calculate detour", + " Detour = 22442.6 - 6256.7 = 16185.9 km", + " Detour % = (16185.9 / 6256.7) × 100 = 258.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 258.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -33.89743, + "lon": 150.93446, + "name": "Cabramatta" + }, + "end": { + "lat": 28.2058, + "lon": 81.34532, + "name": "Gulariyā" + }, + "waypoint": { + "lat": 5.26667, + "lon": 17.65, + "name": "Bossembélé" + }, + "question": "Is Bossembélé approximately on the direct path from Cabramatta to Gulariyā?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10061.7, + "via_waypoint_km": 21410.6, + "detour_km": 11349.0, + "detour_percent": 112.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Cabramatta", + " End: Gulariyā", + " Waypoint: Bossembélé", + "Step 2: Calculate direct distance", + " Start → End: 10061.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21410.6 km", + "Step 4: Calculate detour", + " Detour = 21410.6 - 10061.7 = 11349.0 km", + " Detour % = (11349.0 / 10061.7) × 100 = 112.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 112.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 25.67066, + "lon": -80.40117, + "name": "The Crossings" + }, + "end": { + "lat": 32.46186, + "lon": 46.68794, + "name": "‘Alī al Gharbī" + }, + "waypoint": { + "lat": 38.91802, + "lon": -6.34292, + "name": "Mérida" + }, + "question": "Is Mérida approximately on the direct path from The Crossings to ‘Alī al Gharbī?", + "ground_truth": { + "answer": true, + "direct_distance_km": 11460.5, + "via_waypoint_km": 11703.7, + "detour_km": 243.2, + "detour_percent": 2.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: The Crossings", + " End: ‘Alī al Gharbī", + " Waypoint: Mérida", + "Step 2: Calculate direct distance", + " Start → End: 11460.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11703.7 km", + "Step 4: Calculate detour", + " Detour = 11703.7 - 11460.5 = 243.2 km", + " Detour % = (243.2 / 11460.5) × 100 = 2.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2.1% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -15.7907, + "lon": -47.93711, + "name": "Cruzeiro" + }, + "end": { + "lat": 5.78333, + "lon": 36.56667, + "name": "Bako" + }, + "waypoint": { + "lat": -0.53987, + "lon": 37.45743, + "name": "Embu" + }, + "question": "Is Embu approximately on the direct path from Cruzeiro to Bako?", + "ground_truth": { + "answer": true, + "direct_distance_km": 9597.8, + "via_waypoint_km": 10208.5, + "detour_km": 610.7, + "detour_percent": 6.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Cruzeiro", + " End: Bako", + " Waypoint: Embu", + "Step 2: Calculate direct distance", + " Start → End: 9597.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10208.5 km", + "Step 4: Calculate detour", + " Detour = 10208.5 - 9597.8 = 610.7 km", + " Detour % = (610.7 / 9597.8) × 100 = 6.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 6.4% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -27.02611, + "lon": -50.92139, + "name": "Fraiburgo" + }, + "end": { + "lat": 51.35045, + "lon": -1.1285, + "name": "Tadley" + }, + "waypoint": { + "lat": 37.2, + "lon": 140.31667, + "name": "Yabuki" + }, + "question": "Is Yabuki approximately on the direct path from Fraiburgo to Tadley?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9980.3, + "via_waypoint_km": 27945.5, + "detour_km": 17965.2, + "detour_percent": 180.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Fraiburgo", + " End: Tadley", + " Waypoint: Yabuki", + "Step 2: Calculate direct distance", + " Start → End: 9980.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27945.5 km", + "Step 4: Calculate detour", + " Detour = 27945.5 - 9980.3 = 17965.2 km", + " Detour % = (17965.2 / 9980.3) × 100 = 180.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 180.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -18.58111, + "lon": 36.45861, + "name": "Chinde" + }, + "end": { + "lat": 40.84816, + "lon": -73.99764, + "name": "Palisades Park" + }, + "waypoint": { + "lat": -27.08465, + "lon": 152.9511, + "name": "Caboolture" + }, + "question": "Is Caboolture approximately on the direct path from Chinde to Palisades Park?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13045.7, + "via_waypoint_km": 26978.9, + "detour_km": 13933.2, + "detour_percent": 106.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Chinde", + " End: Palisades Park", + " Waypoint: Caboolture", + "Step 2: Calculate direct distance", + " Start → End: 13045.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26978.9 km", + "Step 4: Calculate detour", + " Detour = 26978.9 - 13045.7 = 13933.2 km", + " Detour % = (13933.2 / 13045.7) × 100 = 106.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 106.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -34.06564, + "lon": 151.01266, + "name": "Engadine" + }, + "end": { + "lat": 38.29556, + "lon": 31.17778, + "name": "Yalvaç" + }, + "waypoint": { + "lat": 47.05, + "lon": 8.26274, + "name": "Littau" + }, + "question": "Is Littau approximately on the direct path from Engadine to Yalvaç?", + "ground_truth": { + "answer": false, + "direct_distance_km": 14690.2, + "via_waypoint_km": 18694.7, + "detour_km": 4004.5, + "detour_percent": 27.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Engadine", + " End: Yalvaç", + " Waypoint: Littau", + "Step 2: Calculate direct distance", + " Start → End: 14690.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18694.7 km", + "Step 4: Calculate detour", + " Detour = 18694.7 - 14690.2 = 4004.5 km", + " Detour % = (4004.5 / 14690.2) × 100 = 27.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 27.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -23.50167, + "lon": -47.45806, + "name": "Sorocaba" + }, + "end": { + "lat": 52.30273, + "lon": -0.69446, + "name": "Wellingborough" + }, + "waypoint": { + "lat": 43.23073, + "lon": -2.8429, + "name": "Galdakao" + }, + "question": "Is Galdakao approximately on the direct path from Sorocaba to Wellingborough?", + "ground_truth": { + "answer": true, + "direct_distance_km": 9570.2, + "via_waypoint_km": 9729.8, + "detour_km": 159.7, + "detour_percent": 1.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sorocaba", + " End: Wellingborough", + " Waypoint: Galdakao", + "Step 2: Calculate direct distance", + " Start → End: 9570.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9729.8 km", + "Step 4: Calculate detour", + " Detour = 9729.8 - 9570.2 = 159.7 km", + " Detour % = (159.7 / 9570.2) × 100 = 1.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1.7% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -4.19444, + "lon": -40.47667, + "name": "Varjota" + }, + "end": { + "lat": 19.6031, + "lon": 74.19356, + "name": "Ghulewadi" + }, + "waypoint": { + "lat": 28.70493, + "lon": 77.26424, + "name": "Mir Pur Turk" + }, + "question": "Is Mir Pur Turk approximately on the direct path from Varjota to Ghulewadi?", + "ground_truth": { + "answer": true, + "direct_distance_km": 12745.8, + "via_waypoint_km": 13985.3, + "detour_km": 1239.5, + "detour_percent": 9.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Varjota", + " End: Ghulewadi", + " Waypoint: Mir Pur Turk", + "Step 2: Calculate direct distance", + " Start → End: 12745.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13985.3 km", + "Step 4: Calculate detour", + " Detour = 13985.3 - 12745.8 = 1239.5 km", + " Detour % = (1239.5 / 12745.8) × 100 = 9.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 9.7% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 25.75574, + "lon": 75.22292, + "name": "Sawar" + }, + "end": { + "lat": 52.6386, + "lon": -1.13169, + "name": "Leicester" + }, + "waypoint": { + "lat": 20.51806, + "lon": -103.38056, + "name": "Hacienda Santa Fe" + }, + "question": "Is Hacienda Santa Fe approximately on the direct path from Sawar to Leicester?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6859.1, + "via_waypoint_km": 23864.1, + "detour_km": 17005.0, + "detour_percent": 247.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sawar", + " End: Leicester", + " Waypoint: Hacienda Santa Fe", + "Step 2: Calculate direct distance", + " Start → End: 6859.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23864.1 km", + "Step 4: Calculate detour", + " Detour = 23864.1 - 6859.1 = 17005.0 km", + " Detour % = (17005.0 / 6859.1) × 100 = 247.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 247.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 9.93988, + "lon": 76.26022, + "name": "Kochi" + }, + "end": { + "lat": 24.75204, + "lon": 84.3742, + "name": "Aurangābād" + }, + "waypoint": { + "lat": 38.68574, + "lon": -121.37217, + "name": "North Highlands" + }, + "question": "Is North Highlands approximately on the direct path from Kochi to Aurangābād?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1857.1, + "via_waypoint_km": 26776.5, + "detour_km": 24919.4, + "detour_percent": 1341.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kochi", + " End: Aurangābād", + " Waypoint: North Highlands", + "Step 2: Calculate direct distance", + " Start → End: 1857.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26776.5 km", + "Step 4: Calculate detour", + " Detour = 26776.5 - 1857.1 = 24919.4 km", + " Detour % = (24919.4 / 1857.1) × 100 = 1341.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1341.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -4.3432, + "lon": 152.26867, + "name": "Kokopo" + }, + "end": { + "lat": 1.5243, + "lon": 103.824, + "name": "Pelentong" + }, + "waypoint": { + "lat": 24.32431, + "lon": 83.81613, + "name": "Majhiāon Kalān" + }, + "question": "Is Majhiāon Kalān approximately on the direct path from Kokopo to Pelentong?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5422.1, + "via_waypoint_km": 11374.4, + "detour_km": 5952.3, + "detour_percent": 109.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kokopo", + " End: Pelentong", + " Waypoint: Majhiāon Kalān", + "Step 2: Calculate direct distance", + " Start → End: 5422.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11374.4 km", + "Step 4: Calculate detour", + " Detour = 11374.4 - 5422.1 = 5952.3 km", + " Detour % = (5952.3 / 5422.1) × 100 = 109.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 109.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 14.06391, + "lon": 121.24649, + "name": "Alaminos" + }, + "end": { + "lat": -33.28397, + "lon": 149.10018, + "name": "Orange" + }, + "waypoint": { + "lat": 60.15328, + "lon": 59.95205, + "name": "Severoural’sk" + }, + "question": "Is Severoural’sk approximately on the direct path from Alaminos to Orange?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6037.4, + "via_waypoint_km": 20209.6, + "detour_km": 14172.1, + "detour_percent": 234.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Alaminos", + " End: Orange", + " Waypoint: Severoural’sk", + "Step 2: Calculate direct distance", + " Start → End: 6037.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20209.6 km", + "Step 4: Calculate detour", + " Detour = 20209.6 - 6037.4 = 14172.1 km", + " Detour % = (14172.1 / 6037.4) × 100 = 234.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 234.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -3.63222, + "lon": -44.55583, + "name": "Matões do Norte" + }, + "end": { + "lat": -10.87352, + "lon": 26.59746, + "name": "Kambove" + }, + "waypoint": { + "lat": 12.43527, + "lon": -86.87862, + "name": "León" + }, + "question": "Is León approximately on the direct path from Matões do Norte to Kambove?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7874.7, + "via_waypoint_km": 17793.1, + "detour_km": 9918.4, + "detour_percent": 126.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Matões do Norte", + " End: Kambove", + " Waypoint: León", + "Step 2: Calculate direct distance", + " Start → End: 7874.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17793.1 km", + "Step 4: Calculate detour", + " Detour = 17793.1 - 7874.7 = 9918.4 km", + " Detour % = (9918.4 / 7874.7) × 100 = 126.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 126.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -24.75722, + "lon": -51.76139, + "name": "Pitanga" + }, + "end": { + "lat": 47.48919, + "lon": 19.07012, + "name": "Budapest VIII. kerület" + }, + "waypoint": { + "lat": 52.09, + "lon": 5.23333, + "name": "Zeist" + }, + "question": "Is Zeist approximately on the direct path from Pitanga to Budapest VIII. kerület?", + "ground_truth": { + "answer": true, + "direct_distance_km": 10691.9, + "via_waypoint_km": 11291.1, + "detour_km": 599.1, + "detour_percent": 5.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Pitanga", + " End: Budapest VIII. kerület", + " Waypoint: Zeist", + "Step 2: Calculate direct distance", + " Start → End: 10691.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11291.1 km", + "Step 4: Calculate detour", + " Detour = 11291.1 - 10691.9 = 599.1 km", + " Detour % = (599.1 / 10691.9) × 100 = 5.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 5.6% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 9.3202, + "lon": 16.1552, + "name": "Béré" + }, + "end": { + "lat": 34.57111, + "lon": 126.59889, + "name": "Haenam" + }, + "waypoint": { + "lat": -10.24111, + "lon": -76.64556, + "name": "Yanacancha" + }, + "question": "Is Yanacancha approximately on the direct path from Béré to Haenam?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11237.9, + "via_waypoint_km": 26919.1, + "detour_km": 15681.2, + "detour_percent": 139.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Béré", + " End: Haenam", + " Waypoint: Yanacancha", + "Step 2: Calculate direct distance", + " Start → End: 11237.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26919.1 km", + "Step 4: Calculate detour", + " Detour = 26919.1 - 11237.9 = 15681.2 km", + " Detour % = (15681.2 / 11237.9) × 100 = 139.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 139.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -21.72444, + "lon": -48.10167, + "name": "Américo Brasiliense" + }, + "end": { + "lat": -5.11389, + "lon": -43.81, + "name": "São João do Soter" + }, + "waypoint": { + "lat": 56.50049, + "lon": 84.98216, + "name": "Tomsk" + }, + "question": "Is Tomsk approximately on the direct path from Américo Brasiliense to São João do Soter?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1904.0, + "via_waypoint_km": 27350.6, + "detour_km": 25446.6, + "detour_percent": 1336.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Américo Brasiliense", + " End: São João do Soter", + " Waypoint: Tomsk", + "Step 2: Calculate direct distance", + " Start → End: 1904.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27350.6 km", + "Step 4: Calculate detour", + " Detour = 27350.6 - 1904.0 = 25446.6 km", + " Detour % = (25446.6 / 1904.0) × 100 = 1336.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1336.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 10.25056, + "lon": -63.91938, + "name": "Cumanacoa" + }, + "end": { + "lat": 9.99559, + "lon": -84.09656, + "name": "San Pablo" + }, + "waypoint": { + "lat": 40.14477, + "lon": -84.24244, + "name": "Piqua" + }, + "question": "Is Piqua approximately on the direct path from Cumanacoa to San Pablo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2208.5, + "via_waypoint_km": 7233.5, + "detour_km": 5025.0, + "detour_percent": 227.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Cumanacoa", + " End: San Pablo", + " Waypoint: Piqua", + "Step 2: Calculate direct distance", + " Start → End: 2208.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 7233.5 km", + "Step 4: Calculate detour", + " Detour = 7233.5 - 2208.5 = 5025.0 km", + " Detour % = (5025.0 / 2208.5) × 100 = 227.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 227.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.7604, + "lon": -0.56528, + "name": "Berkhamsted" + }, + "end": { + "lat": 41.11701, + "lon": 20.80175, + "name": "Ohrid" + }, + "waypoint": { + "lat": 44.91647, + "lon": 130.51707, + "name": "Muling" + }, + "question": "Is Muling approximately on the direct path from Berkhamsted to Ohrid?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2007.9, + "via_waypoint_km": 16459.3, + "detour_km": 14451.3, + "detour_percent": 719.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Berkhamsted", + " End: Ohrid", + " Waypoint: Muling", + "Step 2: Calculate direct distance", + " Start → End: 2007.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16459.3 km", + "Step 4: Calculate detour", + " Detour = 16459.3 - 2007.9 = 14451.3 km", + " Detour % = (14451.3 / 2007.9) × 100 = 719.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 719.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 50.46198, + "lon": -3.52522, + "name": "Torquay" + }, + "end": { + "lat": 44.79935, + "lon": 10.32618, + "name": "Parma" + }, + "waypoint": { + "lat": -22.62917, + "lon": -43.89806, + "name": "Piraí" + }, + "question": "Is Piraí approximately on the direct path from Torquay to Parma?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1211.2, + "via_waypoint_km": 18336.3, + "detour_km": 17125.1, + "detour_percent": 1413.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Torquay", + " End: Parma", + " Waypoint: Piraí", + "Step 2: Calculate direct distance", + " Start → End: 1211.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18336.3 km", + "Step 4: Calculate detour", + " Detour = 18336.3 - 1211.2 = 17125.1 km", + " Detour % = (17125.1 / 1211.2) × 100 = 1413.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1413.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -5.35833, + "lon": -42.67639, + "name": "Demerval Lobão" + }, + "end": { + "lat": 23.58645, + "lon": 56.53969, + "name": "Yanqul" + }, + "waypoint": { + "lat": 34.885, + "lon": 105.54167, + "name": "Wangyao" + }, + "question": "Is Wangyao approximately on the direct path from Demerval Lobão to Yanqul?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11183.3, + "via_waypoint_km": 20255.9, + "detour_km": 9072.6, + "detour_percent": 81.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Demerval Lobão", + " End: Yanqul", + " Waypoint: Wangyao", + "Step 2: Calculate direct distance", + " Start → End: 11183.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20255.9 km", + "Step 4: Calculate detour", + " Detour = 20255.9 - 11183.3 = 9072.6 km", + " Detour % = (9072.6 / 11183.3) × 100 = 81.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 81.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 33.54138, + "lon": -7.52848, + "name": "Lahraouyine" + }, + "end": { + "lat": 37.35682, + "lon": -77.44165, + "name": "Chester" + }, + "waypoint": { + "lat": 40.4284, + "lon": -79.69755, + "name": "Murrysville" + }, + "question": "Is Murrysville approximately on the direct path from Lahraouyine to Chester?", + "ground_truth": { + "answer": true, + "direct_distance_km": 6199.1, + "via_waypoint_km": 6670.8, + "detour_km": 471.7, + "detour_percent": 7.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Lahraouyine", + " End: Chester", + " Waypoint: Murrysville", + "Step 2: Calculate direct distance", + " Start → End: 6199.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 6670.8 km", + "Step 4: Calculate detour", + " Detour = 6670.8 - 6199.1 = 471.7 km", + " Detour % = (471.7 / 6199.1) × 100 = 7.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 7.6% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 34.88902, + "lon": 35.88659, + "name": "Ţarţūs" + }, + "end": { + "lat": 39.32011, + "lon": -76.51552, + "name": "Rosedale" + }, + "waypoint": { + "lat": -4.26667, + "lon": 35.85, + "name": "Galappo" + }, + "question": "Is Galappo approximately on the direct path from Ţarţūs to Rosedale?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9237.3, + "via_waypoint_km": 16576.4, + "detour_km": 7339.1, + "detour_percent": 79.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ţarţūs", + " End: Rosedale", + " Waypoint: Galappo", + "Step 2: Calculate direct distance", + " Start → End: 9237.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16576.4 km", + "Step 4: Calculate detour", + " Detour = 16576.4 - 9237.3 = 7339.1 km", + " Detour % = (7339.1 / 9237.3) × 100 = 79.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 79.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 4.4516, + "lon": 7.17074, + "name": "Bonny" + }, + "end": { + "lat": 13.68935, + "lon": -89.18718, + "name": "San Salvador" + }, + "waypoint": { + "lat": -12.83333, + "lon": -39.1, + "name": "Sobradinho" + }, + "question": "Is Sobradinho approximately on the direct path from Bonny to San Salvador?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10574.7, + "via_waypoint_km": 11717.0, + "detour_km": 1142.4, + "detour_percent": 10.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bonny", + " End: San Salvador", + " Waypoint: Sobradinho", + "Step 2: Calculate direct distance", + " Start → End: 10574.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11717.0 km", + "Step 4: Calculate detour", + " Detour = 11717.0 - 10574.7 = 1142.4 km", + " Detour % = (1142.4 / 10574.7) × 100 = 10.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 10.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 19.58469, + "lon": -70.98489, + "name": "Esperanza" + }, + "end": { + "lat": -13.63333, + "lon": 32.65, + "name": "Chipata" + }, + "waypoint": { + "lat": -34.74947, + "lon": -58.70158, + "name": "Pontevedra" + }, + "question": "Is Pontevedra approximately on the direct path from Esperanza to Chipata?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11914.4, + "via_waypoint_km": 15449.5, + "detour_km": 3535.2, + "detour_percent": 29.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Esperanza", + " End: Chipata", + " Waypoint: Pontevedra", + "Step 2: Calculate direct distance", + " Start → End: 11914.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15449.5 km", + "Step 4: Calculate detour", + " Detour = 15449.5 - 11914.4 = 3535.2 km", + " Detour % = (3535.2 / 11914.4) × 100 = 29.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 29.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -25.0999, + "lon": 30.78001, + "name": "Sabie" + }, + "end": { + "lat": 42.90725, + "lon": -85.79198, + "name": "Jenison" + }, + "waypoint": { + "lat": -33.67918, + "lon": -59.66633, + "name": "San Pedro" + }, + "question": "Is San Pedro approximately on the direct path from Sabie to Jenison?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13992.6, + "via_waypoint_km": 17454.2, + "detour_km": 3461.6, + "detour_percent": 24.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sabie", + " End: Jenison", + " Waypoint: San Pedro", + "Step 2: Calculate direct distance", + " Start → End: 13992.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17454.2 km", + "Step 4: Calculate detour", + " Detour = 17454.2 - 13992.6 = 3461.6 km", + " Detour % = (3461.6 / 13992.6) × 100 = 24.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 24.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 23.17647, + "lon": 88.09749, + "name": "Memāri" + }, + "end": { + "lat": 46.19444, + "lon": 100.71806, + "name": "Bayanhongor" + }, + "waypoint": { + "lat": -5.95609, + "lon": 28.01649, + "name": "Nyunzu" + }, + "question": "Is Nyunzu approximately on the direct path from Memāri to Bayanhongor?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2799.4, + "via_waypoint_km": 16457.7, + "detour_km": 13658.3, + "detour_percent": 487.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Memāri", + " End: Bayanhongor", + " Waypoint: Nyunzu", + "Step 2: Calculate direct distance", + " Start → End: 2799.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16457.7 km", + "Step 4: Calculate detour", + " Detour = 16457.7 - 2799.4 = 13658.3 km", + " Detour % = (13658.3 / 2799.4) × 100 = 487.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 487.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -37.66667, + "lon": 145.06667, + "name": "Mill Park" + }, + "end": { + "lat": 41.52286, + "lon": 20.52198, + "name": "Debar" + }, + "waypoint": { + "lat": 45.76106, + "lon": 4.82677, + "name": "Lyon 05" + }, + "question": "Is Lyon 05 approximately on the direct path from Mill Park to Debar?", + "ground_truth": { + "answer": false, + "direct_distance_km": 15325.9, + "via_waypoint_km": 17977.6, + "detour_km": 2651.6, + "detour_percent": 17.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mill Park", + " End: Debar", + " Waypoint: Lyon 05", + "Step 2: Calculate direct distance", + " Start → End: 15325.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17977.6 km", + "Step 4: Calculate detour", + " Detour = 17977.6 - 15325.9 = 2651.6 km", + " Detour % = (2651.6 / 15325.9) × 100 = 17.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 17.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 6.9747, + "lon": 118.5144, + "name": "Mapun" + }, + "end": { + "lat": 23.40576, + "lon": 88.49073, + "name": "Krishnanagar" + }, + "waypoint": { + "lat": -24.54528, + "lon": -52.98778, + "name": "Ubiratã" + }, + "question": "Is Ubiratã approximately on the direct path from Mapun to Krishnanagar?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3689.7, + "via_waypoint_km": 33973.9, + "detour_km": 30284.2, + "detour_percent": 820.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mapun", + " End: Krishnanagar", + " Waypoint: Ubiratã", + "Step 2: Calculate direct distance", + " Start → End: 3689.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 33973.9 km", + "Step 4: Calculate detour", + " Detour = 33973.9 - 3689.7 = 30284.2 km", + " Detour % = (30284.2 / 3689.7) × 100 = 820.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 820.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 6.02867, + "lon": 100.40691, + "name": "Tokai" + }, + "end": { + "lat": -19.9, + "lon": 48.8, + "name": "Mahanoro" + }, + "waypoint": { + "lat": -3.10194, + "lon": -60.025, + "name": "Manaus" + }, + "question": "Is Manaus approximately on the direct path from Tokai to Mahanoro?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6335.4, + "via_waypoint_km": 29667.9, + "detour_km": 23332.5, + "detour_percent": 368.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tokai", + " End: Mahanoro", + " Waypoint: Manaus", + "Step 2: Calculate direct distance", + " Start → End: 6335.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 29667.9 km", + "Step 4: Calculate detour", + " Detour = 29667.9 - 6335.4 = 23332.5 km", + " Detour % = (23332.5 / 6335.4) × 100 = 368.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 368.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -12.08167, + "lon": -41.09444, + "name": "Utinga" + }, + "end": { + "lat": -34.61771, + "lon": -58.60153, + "name": "El Palomar" + }, + "waypoint": { + "lat": 20.33333, + "lon": -104.5, + "name": "El Salto" + }, + "question": "Is El Salto approximately on the direct path from Utinga to El Palomar?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3066.8, + "via_waypoint_km": 15612.4, + "detour_km": 12545.6, + "detour_percent": 409.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Utinga", + " End: El Palomar", + " Waypoint: El Salto", + "Step 2: Calculate direct distance", + " Start → End: 3066.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15612.4 km", + "Step 4: Calculate detour", + " Detour = 15612.4 - 3066.8 = 12545.6 km", + " Detour % = (12545.6 / 3066.8) × 100 = 409.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 409.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 6.45196, + "lon": -2.31635, + "name": "Bibiani" + }, + "end": { + "lat": 36.72506, + "lon": 10.23499, + "name": "Boumhel El Bassatine" + }, + "waypoint": { + "lat": 53.27237, + "lon": -110.02256, + "name": "Lloydminster" + }, + "question": "Is Lloydminster approximately on the direct path from Bibiani to Boumhel El Bassatine?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3599.5, + "via_waypoint_km": 19064.1, + "detour_km": 15464.6, + "detour_percent": 429.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bibiani", + " End: Boumhel El Bassatine", + " Waypoint: Lloydminster", + "Step 2: Calculate direct distance", + " Start → End: 3599.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19064.1 km", + "Step 4: Calculate detour", + " Detour = 19064.1 - 3599.5 = 15464.6 km", + " Detour % = (15464.6 / 3599.5) × 100 = 429.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 429.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -4.56033, + "lon": -45.13155, + "name": "Lago da Pedra" + }, + "end": { + "lat": -22.48194, + "lon": -47.45667, + "name": "Cordeirópolis" + }, + "waypoint": { + "lat": 28.67695, + "lon": 77.05372, + "name": "Kamaruddinnagar" + }, + "question": "Is Kamaruddinnagar approximately on the direct path from Lago da Pedra to Cordeirópolis?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2008.4, + "via_waypoint_km": 27828.1, + "detour_km": 25819.7, + "detour_percent": 1285.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Lago da Pedra", + " End: Cordeirópolis", + " Waypoint: Kamaruddinnagar", + "Step 2: Calculate direct distance", + " Start → End: 2008.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27828.1 km", + "Step 4: Calculate detour", + " Detour = 27828.1 - 2008.4 = 25819.7 km", + " Detour % = (25819.7 / 2008.4) × 100 = 1285.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1285.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 29.31577, + "lon": 76.31502, + "name": "Jīnd" + }, + "end": { + "lat": 25.32007, + "lon": 79.63931, + "name": "Kulpahār" + }, + "waypoint": { + "lat": -1.36139, + "lon": -48.24472, + "name": "Benevides" + }, + "question": "Is Benevides approximately on the direct path from Jīnd to Kulpahār?", + "ground_truth": { + "answer": false, + "direct_distance_km": 552.4, + "via_waypoint_km": 27221.9, + "detour_km": 26669.5, + "detour_percent": 4827.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Jīnd", + " End: Kulpahār", + " Waypoint: Benevides", + "Step 2: Calculate direct distance", + " Start → End: 552.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27221.9 km", + "Step 4: Calculate detour", + " Detour = 27221.9 - 552.4 = 26669.5 km", + " Detour % = (26669.5 / 552.4) × 100 = 4827.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 4827.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 29.72235, + "lon": 106.93206, + "name": "Luoqi" + }, + "end": { + "lat": 31.71667, + "lon": 130.26667, + "name": "Kushikino" + }, + "waypoint": { + "lat": -22.41278, + "lon": -49.13472, + "name": "Piratininga" + }, + "question": "Is Piratininga approximately on the direct path from Luoqi to Kushikino?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2237.3, + "via_waypoint_km": 36474.9, + "detour_km": 34237.6, + "detour_percent": 1530.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Luoqi", + " End: Kushikino", + " Waypoint: Piratininga", + "Step 2: Calculate direct distance", + " Start → End: 2237.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 36474.9 km", + "Step 4: Calculate detour", + " Detour = 36474.9 - 2237.3 = 34237.6 km", + " Detour % = (34237.6 / 2237.3) × 100 = 1530.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1530.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 34.43722, + "lon": 117.03889, + "name": "Zhengji" + }, + "end": { + "lat": -24.24423, + "lon": -49.70932, + "name": "Jaguariaíva" + }, + "waypoint": { + "lat": -15.86527, + "lon": -47.81477, + "name": "Jardim Botânico" + }, + "question": "Is Jardim Botânico approximately on the direct path from Zhengji to Jaguariaíva?", + "ground_truth": { + "answer": true, + "direct_distance_km": 18305.0, + "via_waypoint_km": 18407.8, + "detour_km": 102.7, + "detour_percent": 0.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Zhengji", + " End: Jaguariaíva", + " Waypoint: Jardim Botânico", + "Step 2: Calculate direct distance", + " Start → End: 18305.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18407.8 km", + "Step 4: Calculate detour", + " Detour = 18407.8 - 18305.0 = 102.7 km", + " Detour % = (102.7 / 18305.0) × 100 = 0.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.6% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 35.23619, + "lon": -3.95453, + "name": "Tirhanimîne" + }, + "end": { + "lat": 53.2859, + "lon": -6.37344, + "name": "Tallaght" + }, + "waypoint": { + "lat": -7.8825, + "lon": -40.08167, + "name": "Ouricuri" + }, + "question": "Is Ouricuri approximately on the direct path from Tirhanimîne to Tallaght?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2016.0, + "via_waypoint_km": 13615.3, + "detour_km": 11599.3, + "detour_percent": 575.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tirhanimîne", + " End: Tallaght", + " Waypoint: Ouricuri", + "Step 2: Calculate direct distance", + " Start → End: 2016.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13615.3 km", + "Step 4: Calculate detour", + " Detour = 13615.3 - 2016.0 = 11599.3 km", + " Detour % = (11599.3 / 2016.0) × 100 = 575.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 575.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 41.51274, + "lon": 20.95867, + "name": "Kičevo" + }, + "end": { + "lat": 53.14636, + "lon": 29.20552, + "name": "Bobruysk" + }, + "waypoint": { + "lat": -23.3075, + "lon": -47.13278, + "name": "Cabreúva" + }, + "question": "Is Cabreúva approximately on the direct path from Kičevo to Bobruysk?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1432.9, + "via_waypoint_km": 21246.2, + "detour_km": 19813.3, + "detour_percent": 1382.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kičevo", + " End: Bobruysk", + " Waypoint: Cabreúva", + "Step 2: Calculate direct distance", + " Start → End: 1432.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21246.2 km", + "Step 4: Calculate detour", + " Detour = 21246.2 - 1432.9 = 19813.3 km", + " Detour % = (19813.3 / 1432.9) × 100 = 1382.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1382.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -6.25444, + "lon": -39.20194, + "name": "Quixelô" + }, + "end": { + "lat": -23.26917, + "lon": -51.04806, + "name": "Ibiporã" + }, + "waypoint": { + "lat": -7.35207, + "lon": 14.84629, + "name": "Songo" + }, + "question": "Is Songo approximately on the direct path from Quixelô to Ibiporã?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2277.5, + "via_waypoint_km": 13192.6, + "detour_km": 10915.1, + "detour_percent": 479.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Quixelô", + " End: Ibiporã", + " Waypoint: Songo", + "Step 2: Calculate direct distance", + " Start → End: 2277.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13192.6 km", + "Step 4: Calculate detour", + " Detour = 13192.6 - 2277.5 = 10915.1 km", + " Detour % = (10915.1 / 2277.5) × 100 = 479.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 479.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 25.03889, + "lon": 102.71833, + "name": "Kunming" + }, + "end": { + "lat": 22.2875, + "lon": 114.14417, + "name": "Victoria" + }, + "waypoint": { + "lat": 37.97476, + "lon": -87.55585, + "name": "Evansville" + }, + "question": "Is Evansville approximately on the direct path from Kunming to Victoria?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1202.7, + "via_waypoint_km": 25867.7, + "detour_km": 24664.9, + "detour_percent": 2050.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kunming", + " End: Victoria", + " Waypoint: Evansville", + "Step 2: Calculate direct distance", + " Start → End: 1202.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25867.7 km", + "Step 4: Calculate detour", + " Detour = 25867.7 - 1202.7 = 24664.9 km", + " Detour % = (24664.9 / 1202.7) × 100 = 2050.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2050.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 9.49828, + "lon": -73.97591, + "name": "Astrea" + }, + "end": { + "lat": 13.9835, + "lon": 10.27035, + "name": "Gouré" + }, + "waypoint": { + "lat": 41.54317, + "lon": -8.40725, + "name": "Bairro Novo" + }, + "question": "Is Bairro Novo approximately on the direct path from Astrea to Gouré?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9139.5, + "via_waypoint_km": 10838.3, + "detour_km": 1698.7, + "detour_percent": 18.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Astrea", + " End: Gouré", + " Waypoint: Bairro Novo", + "Step 2: Calculate direct distance", + " Start → End: 9139.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10838.3 km", + "Step 4: Calculate detour", + " Detour = 10838.3 - 9139.5 = 1698.7 km", + " Detour % = (1698.7 / 9139.5) × 100 = 18.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 18.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 9.9832, + "lon": -75.30155, + "name": "María la Baja" + }, + "end": { + "lat": 51.955, + "lon": 5.22778, + "name": "Culemborg" + }, + "waypoint": { + "lat": 17.96454, + "lon": -77.24515, + "name": "May Pen" + }, + "question": "Is May Pen approximately on the direct path from María la Baja to Culemborg?", + "ground_truth": { + "answer": true, + "direct_distance_km": 8487.1, + "via_waypoint_km": 8846.3, + "detour_km": 359.2, + "detour_percent": 4.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: María la Baja", + " End: Culemborg", + " Waypoint: May Pen", + "Step 2: Calculate direct distance", + " Start → End: 8487.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 8846.3 km", + "Step 4: Calculate detour", + " Detour = 8846.3 - 8487.1 = 359.2 km", + " Detour % = (359.2 / 8487.1) × 100 = 4.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 4.2% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 12.14579, + "lon": 75.17475, + "name": "Trikarpūr North" + }, + "end": { + "lat": 5.27247, + "lon": -3.59625, + "name": "Bonoua" + }, + "waypoint": { + "lat": -27.62563, + "lon": 152.96883, + "name": "Forest Lake" + }, + "question": "Is Forest Lake approximately on the direct path from Trikarpūr North to Bonoua?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8666.8, + "via_waypoint_km": 25967.4, + "detour_km": 17300.6, + "detour_percent": 199.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Trikarpūr North", + " End: Bonoua", + " Waypoint: Forest Lake", + "Step 2: Calculate direct distance", + " Start → End: 8666.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25967.4 km", + "Step 4: Calculate detour", + " Detour = 25967.4 - 8666.8 = 17300.6 km", + " Detour % = (17300.6 / 8666.8) × 100 = 199.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 199.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -26.06927, + "lon": 30.11489, + "name": "Carolina" + }, + "end": { + "lat": 17.42841, + "lon": 78.49361, + "name": "Rāniganj" + }, + "waypoint": { + "lat": 39.9036, + "lon": 8.59257, + "name": "Oristano" + }, + "question": "Is Oristano approximately on the direct path from Carolina to Rāniganj?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7121.8, + "via_waypoint_km": 14746.3, + "detour_km": 7624.5, + "detour_percent": 107.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Carolina", + " End: Rāniganj", + " Waypoint: Oristano", + "Step 2: Calculate direct distance", + " Start → End: 7121.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14746.3 km", + "Step 4: Calculate detour", + " Detour = 14746.3 - 7121.8 = 7624.5 km", + " Detour % = (7624.5 / 7121.8) × 100 = 107.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 107.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 50.79509, + "lon": -1.12902, + "name": "Gosport" + }, + "end": { + "lat": 10.99211, + "lon": 75.90799, + "name": "Nannambra" + }, + "waypoint": { + "lat": 42.02683, + "lon": 35.16253, + "name": "Sinop" + }, + "question": "Is Sinop approximately on the direct path from Gosport to Nannambra?", + "ground_truth": { + "answer": true, + "direct_distance_km": 8153.4, + "via_waypoint_km": 8156.3, + "detour_km": 3.0, + "detour_percent": 0.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Gosport", + " End: Nannambra", + " Waypoint: Sinop", + "Step 2: Calculate direct distance", + " Start → End: 8153.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 8156.3 km", + "Step 4: Calculate detour", + " Detour = 8156.3 - 8153.4 = 3.0 km", + " Detour % = (3.0 / 8153.4) × 100 = 0.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.0% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 18.64813, + "lon": 72.87579, + "name": "Alībāg" + }, + "end": { + "lat": -16.11667, + "lon": 23.26667, + "name": "Senanga" + }, + "waypoint": { + "lat": 55.79479, + "lon": 37.94794, + "name": "Balashikha" + }, + "question": "Is Balashikha approximately on the direct path from Alībāg to Senanga?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6663.7, + "via_waypoint_km": 13171.2, + "detour_km": 6507.5, + "detour_percent": 97.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Alībāg", + " End: Senanga", + " Waypoint: Balashikha", + "Step 2: Calculate direct distance", + " Start → End: 6663.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13171.2 km", + "Step 4: Calculate detour", + " Detour = 13171.2 - 6663.7 = 6507.5 km", + " Detour % = (6507.5 / 6663.7) × 100 = 97.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 97.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 45.04616, + "lon": 38.79491, + "name": "Yelizavetinskaya" + }, + "end": { + "lat": 7.81514, + "lon": 5.06716, + "name": "Ijero-Ekiti" + }, + "waypoint": { + "lat": 42.33698, + "lon": -83.27326, + "name": "Dearborn Heights" + }, + "question": "Is Dearborn Heights approximately on the direct path from Yelizavetinskaya to Ijero-Ekiti?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5257.6, + "via_waypoint_km": 18016.5, + "detour_km": 12759.0, + "detour_percent": 242.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Yelizavetinskaya", + " End: Ijero-Ekiti", + " Waypoint: Dearborn Heights", + "Step 2: Calculate direct distance", + " Start → End: 5257.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18016.5 km", + "Step 4: Calculate detour", + " Detour = 18016.5 - 5257.6 = 12759.0 km", + " Detour % = (12759.0 / 5257.6) × 100 = 242.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 242.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.20005, + "lon": -86.51861, + "name": "Mount Juliet" + }, + "end": { + "lat": 32.792, + "lon": -115.56305, + "name": "El Centro" + }, + "waypoint": { + "lat": 43.42896, + "lon": 39.92391, + "name": "Adler" + }, + "question": "Is Adler approximately on the direct path from Mount Juliet to El Centro?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2678.4, + "via_waypoint_km": 20819.5, + "detour_km": 18141.1, + "detour_percent": 677.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mount Juliet", + " End: El Centro", + " Waypoint: Adler", + "Step 2: Calculate direct distance", + " Start → End: 2678.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20819.5 km", + "Step 4: Calculate detour", + " Detour = 20819.5 - 2678.4 = 18141.1 km", + " Detour % = (18141.1 / 2678.4) × 100 = 677.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 677.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.8542, + "lon": 14.33038, + "name": "Ponticelli" + }, + "end": { + "lat": 49.62177, + "lon": 20.69705, + "name": "Nowy Sącz" + }, + "waypoint": { + "lat": 26.69981, + "lon": 31.60464, + "name": "Al Marāghah" + }, + "question": "Is Al Marāghah approximately on the direct path from Ponticelli to Nowy Sącz?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1094.0, + "via_waypoint_km": 4948.5, + "detour_km": 3854.5, + "detour_percent": 352.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ponticelli", + " End: Nowy Sącz", + " Waypoint: Al Marāghah", + "Step 2: Calculate direct distance", + " Start → End: 1094.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 4948.5 km", + "Step 4: Calculate detour", + " Detour = 4948.5 - 1094.0 = 3854.5 km", + " Detour % = (3854.5 / 1094.0) × 100 = 352.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 352.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -37.76667, + "lon": 144.96667, + "name": "Brunswick" + }, + "end": { + "lat": 24.17161, + "lon": 78.18755, + "name": "Bīna" + }, + "waypoint": { + "lat": 52.09, + "lon": 6.15556, + "name": "Brummen" + }, + "question": "Is Brummen approximately on the direct path from Brunswick to Bīna?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9793.6, + "via_waypoint_km": 23166.2, + "detour_km": 13372.6, + "detour_percent": 136.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Brunswick", + " End: Bīna", + " Waypoint: Brummen", + "Step 2: Calculate direct distance", + " Start → End: 9793.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23166.2 km", + "Step 4: Calculate detour", + " Detour = 23166.2 - 9793.6 = 13372.6 km", + " Detour % = (13372.6 / 9793.6) × 100 = 136.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 136.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -41.13333, + "lon": 174.85, + "name": "Porirua" + }, + "end": { + "lat": 17.87847, + "lon": 102.742, + "name": "Nong Khai" + }, + "waypoint": { + "lat": 36.80753, + "lon": 10.11061, + "name": "Den Den" + }, + "question": "Is Den Den approximately on the direct path from Porirua to Nong Khai?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9891.1, + "via_waypoint_km": 27668.2, + "detour_km": 17777.1, + "detour_percent": 179.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Porirua", + " End: Nong Khai", + " Waypoint: Den Den", + "Step 2: Calculate direct distance", + " Start → End: 9891.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27668.2 km", + "Step 4: Calculate detour", + " Detour = 27668.2 - 9891.1 = 17777.1 km", + " Detour % = (17777.1 / 9891.1) × 100 = 179.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 179.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 22.32074, + "lon": 114.18743, + "name": "Ma Tau Wai" + }, + "end": { + "lat": 1.30306, + "lon": 103.90778, + "name": "Marine Parade" + }, + "waypoint": { + "lat": 33.86726, + "lon": -112.14682, + "name": "Anthem" + }, + "question": "Is Anthem approximately on the direct path from Ma Tau Wai to Marine Parade?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2588.0, + "via_waypoint_km": 26660.7, + "detour_km": 24072.7, + "detour_percent": 930.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ma Tau Wai", + " End: Marine Parade", + " Waypoint: Anthem", + "Step 2: Calculate direct distance", + " Start → End: 2588.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26660.7 km", + "Step 4: Calculate detour", + " Detour = 26660.7 - 2588.0 = 24072.7 km", + " Detour % = (24072.7 / 2588.0) × 100 = 930.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 930.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -13.07556, + "lon": -76.38528, + "name": "San Vicente de Cañete" + }, + "end": { + "lat": -28.72472, + "lon": -52.84972, + "name": "Espumoso" + }, + "waypoint": { + "lat": 8.71364, + "lon": -71.44421, + "name": "La Azulita" + }, + "question": "Is La Azulita approximately on the direct path from San Vicente de Cañete to Espumoso?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2990.1, + "via_waypoint_km": 7100.0, + "detour_km": 4109.9, + "detour_percent": 137.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: San Vicente de Cañete", + " End: Espumoso", + " Waypoint: La Azulita", + "Step 2: Calculate direct distance", + " Start → End: 2990.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 7100.0 km", + "Step 4: Calculate detour", + " Detour = 7100.0 - 2990.1 = 4109.9 km", + " Detour % = (4109.9 / 2990.1) × 100 = 137.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 137.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.30121, + "lon": 22.88135, + "name": "Łęczna" + }, + "end": { + "lat": 48.79395, + "lon": 2.49323, + "name": "Saint-Maur-des-Fossés" + }, + "waypoint": { + "lat": -30.16056, + "lon": -53.56528, + "name": "São Sepé" + }, + "question": "Is São Sepé approximately on the direct path from Łęczna to Saint-Maur-des-Fossés?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1477.2, + "via_waypoint_km": 22108.9, + "detour_km": 20631.8, + "detour_percent": 1396.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Łęczna", + " End: Saint-Maur-des-Fossés", + " Waypoint: São Sepé", + "Step 2: Calculate direct distance", + " Start → End: 1477.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22108.9 km", + "Step 4: Calculate detour", + " Detour = 22108.9 - 1477.2 = 20631.8 km", + " Detour % = (20631.8 / 1477.2) × 100 = 1396.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1396.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 10.15847, + "lon": -69.00782, + "name": "Urachiche" + }, + "end": { + "lat": 24.10313, + "lon": 77.69055, + "name": "Sironj" + }, + "waypoint": { + "lat": 29.63842, + "lon": 91.04441, + "name": "Chéngguān Qū" + }, + "question": "Is Chéngguān Qū approximately on the direct path from Urachiche to Sironj?", + "ground_truth": { + "answer": false, + "direct_distance_km": 14762.3, + "via_waypoint_km": 16560.2, + "detour_km": 1797.9, + "detour_percent": 12.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Urachiche", + " End: Sironj", + " Waypoint: Chéngguān Qū", + "Step 2: Calculate direct distance", + " Start → End: 14762.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16560.2 km", + "Step 4: Calculate detour", + " Detour = 16560.2 - 14762.3 = 1797.9 km", + " Detour % = (1797.9 / 14762.3) × 100 = 12.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 12.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 39.00862, + "lon": -94.46356, + "name": "Raytown" + }, + "end": { + "lat": 12.14579, + "lon": 75.17475, + "name": "Trikarpūr North" + }, + "waypoint": { + "lat": 38.90883, + "lon": 1.43296, + "name": "Ibiza" + }, + "question": "Is Ibiza approximately on the direct path from Raytown to Trikarpūr North?", + "ground_truth": { + "answer": true, + "direct_distance_km": 14226.3, + "via_waypoint_km": 15605.8, + "detour_km": 1379.5, + "detour_percent": 9.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Raytown", + " End: Trikarpūr North", + " Waypoint: Ibiza", + "Step 2: Calculate direct distance", + " Start → End: 14226.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15605.8 km", + "Step 4: Calculate detour", + " Detour = 15605.8 - 14226.3 = 1379.5 km", + " Detour % = (1379.5 / 14226.3) × 100 = 9.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 9.7% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 47.46657, + "lon": 84.87144, + "name": "Zaysan" + }, + "end": { + "lat": 35.23151, + "lon": 9.12321, + "name": "Sbeitla" + }, + "waypoint": { + "lat": 8.89367, + "lon": 11.3596, + "name": "Jalingo" + }, + "question": "Is Jalingo approximately on the direct path from Zaysan to Sbeitla?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6212.8, + "via_waypoint_km": 10980.5, + "detour_km": 4767.8, + "detour_percent": 76.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Zaysan", + " End: Sbeitla", + " Waypoint: Jalingo", + "Step 2: Calculate direct distance", + " Start → End: 6212.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10980.5 km", + "Step 4: Calculate detour", + " Detour = 10980.5 - 6212.8 = 4767.8 km", + " Detour % = (4767.8 / 6212.8) × 100 = 76.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 76.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -7.56222, + "lon": -38.50889, + "name": "Conceição" + }, + "end": { + "lat": 55.76232, + "lon": 52.04425, + "name": "Yelabuga" + }, + "waypoint": { + "lat": 15.0401, + "lon": 120.7883, + "name": "San Luis" + }, + "question": "Is San Luis approximately on the direct path from Conceição to Yelabuga?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10736.6, + "via_waypoint_km": 24917.1, + "detour_km": 14180.5, + "detour_percent": 132.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Conceição", + " End: Yelabuga", + " Waypoint: San Luis", + "Step 2: Calculate direct distance", + " Start → End: 10736.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24917.1 km", + "Step 4: Calculate detour", + " Detour = 24917.1 - 10736.6 = 14180.5 km", + " Detour % = (14180.5 / 10736.6) × 100 = 132.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 132.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 39.40326, + "lon": -9.13839, + "name": "Caldas da Rainha" + }, + "end": { + "lat": 33.41439, + "lon": 130.71877, + "name": "Asakura" + }, + "waypoint": { + "lat": -4.23333, + "lon": 35.41667, + "name": "Bashanet" + }, + "question": "Is Bashanet approximately on the direct path from Caldas da Rainha to Asakura?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10924.8, + "via_waypoint_km": 17413.5, + "detour_km": 6488.7, + "detour_percent": 59.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Caldas da Rainha", + " End: Asakura", + " Waypoint: Bashanet", + "Step 2: Calculate direct distance", + " Start → End: 10924.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17413.5 km", + "Step 4: Calculate detour", + " Detour = 17413.5 - 10924.8 = 6488.7 km", + " Detour % = (6488.7 / 10924.8) × 100 = 59.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 59.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 21.88262, + "lon": -102.2843, + "name": "Aguascalientes" + }, + "end": { + "lat": 9.93991, + "lon": -65.16517, + "name": "Clarines" + }, + "waypoint": { + "lat": 5.55602, + "lon": -0.1969, + "name": "Accra" + }, + "question": "Is Accra approximately on the direct path from Aguascalientes to Clarines?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4171.8, + "via_waypoint_km": 18178.9, + "detour_km": 14007.1, + "detour_percent": 335.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Aguascalientes", + " End: Clarines", + " Waypoint: Accra", + "Step 2: Calculate direct distance", + " Start → End: 4171.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18178.9 km", + "Step 4: Calculate detour", + " Detour = 18178.9 - 4171.8 = 14007.1 km", + " Detour % = (14007.1 / 4171.8) × 100 = 335.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 335.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 7.38299, + "lon": 4.26031, + "name": "Modakeke" + }, + "end": { + "lat": 43.63897, + "lon": -70.31533, + "name": "South Portland Gardens" + }, + "waypoint": { + "lat": 51.76109, + "lon": 18.09102, + "name": "Kalisz" + }, + "question": "Is Kalisz approximately on the direct path from Modakeke to South Portland Gardens?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8202.4, + "via_waypoint_km": 11357.6, + "detour_km": 3155.3, + "detour_percent": 38.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Modakeke", + " End: South Portland Gardens", + " Waypoint: Kalisz", + "Step 2: Calculate direct distance", + " Start → End: 8202.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11357.6 km", + "Step 4: Calculate detour", + " Detour = 11357.6 - 8202.4 = 3155.3 km", + " Detour % = (3155.3 / 8202.4) × 100 = 38.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 38.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 7.25597, + "lon": -7.23508, + "name": "Kouibly" + }, + "end": { + "lat": 38.17492, + "lon": -122.2608, + "name": "American Canyon" + }, + "waypoint": { + "lat": 47.21023, + "lon": 27.80013, + "name": "Ungheni" + }, + "question": "Is Ungheni approximately on the direct path from Kouibly to American Canyon?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11629.4, + "via_waypoint_km": 15612.0, + "detour_km": 3982.6, + "detour_percent": 34.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kouibly", + " End: American Canyon", + " Waypoint: Ungheni", + "Step 2: Calculate direct distance", + " Start → End: 11629.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15612.0 km", + "Step 4: Calculate detour", + " Detour = 15612.0 - 11629.4 = 3982.6 km", + " Detour % = (3982.6 / 11629.4) × 100 = 34.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 34.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -34.66536, + "lon": -58.72744, + "name": "Merlo" + }, + "end": { + "lat": -17.30278, + "lon": -49.01667, + "name": "Piracanjuba" + }, + "waypoint": { + "lat": 33.74021, + "lon": -86.64938, + "name": "Dixiana" + }, + "question": "Is Dixiana approximately on the direct path from Merlo to Piracanjuba?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2157.9, + "via_waypoint_km": 15080.3, + "detour_km": 12922.4, + "detour_percent": 598.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Merlo", + " End: Piracanjuba", + " Waypoint: Dixiana", + "Step 2: Calculate direct distance", + " Start → End: 2157.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15080.3 km", + "Step 4: Calculate detour", + " Detour = 15080.3 - 2157.9 = 12922.4 km", + " Detour % = (12922.4 / 2157.9) × 100 = 598.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 598.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 18.01031, + "lon": -66.62398, + "name": "Ponce" + }, + "end": { + "lat": 3.8801, + "lon": -77.03116, + "name": "Buenaventura" + }, + "waypoint": { + "lat": 41.64077, + "lon": 41.6306, + "name": "Batumi" + }, + "question": "Is Batumi approximately on the direct path from Ponce to Buenaventura?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1937.1, + "via_waypoint_km": 22150.5, + "detour_km": 20213.4, + "detour_percent": 1043.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ponce", + " End: Buenaventura", + " Waypoint: Batumi", + "Step 2: Calculate direct distance", + " Start → End: 1937.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22150.5 km", + "Step 4: Calculate detour", + " Detour = 22150.5 - 1937.1 = 20213.4 km", + " Detour % = (20213.4 / 1937.1) × 100 = 1043.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1043.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.58597, + "lon": -79.39502, + "name": "Danville" + }, + "end": { + "lat": 42.53974, + "lon": 128.99722, + "name": "Helong" + }, + "waypoint": { + "lat": 40.85158, + "lon": 122.74754, + "name": "Haicheng" + }, + "question": "Is Haicheng approximately on the direct path from Danville to Helong?", + "ground_truth": { + "answer": true, + "direct_distance_km": 10757.8, + "via_waypoint_km": 11665.1, + "detour_km": 907.3, + "detour_percent": 8.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Danville", + " End: Helong", + " Waypoint: Haicheng", + "Step 2: Calculate direct distance", + " Start → End: 10757.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11665.1 km", + "Step 4: Calculate detour", + " Detour = 11665.1 - 10757.8 = 907.3 km", + " Detour % = (907.3 / 10757.8) × 100 = 8.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 8.4% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -27.21417, + "lon": -49.64306, + "name": "Rio do Sul" + }, + "end": { + "lat": 33.38738, + "lon": 130.54865, + "name": "Ogōri" + }, + "waypoint": { + "lat": -19.52905, + "lon": 45.45559, + "name": "Miandrivazo" + }, + "question": "Is Miandrivazo approximately on the direct path from Rio do Sul to Ogōri?", + "ground_truth": { + "answer": true, + "direct_distance_km": 19328.4, + "via_waypoint_km": 20260.0, + "detour_km": 931.6, + "detour_percent": 4.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Rio do Sul", + " End: Ogōri", + " Waypoint: Miandrivazo", + "Step 2: Calculate direct distance", + " Start → End: 19328.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20260.0 km", + "Step 4: Calculate detour", + " Detour = 20260.0 - 19328.4 = 931.6 km", + " Detour % = (931.6 / 19328.4) × 100 = 4.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 4.8% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -4.25528, + "lon": -43.94056, + "name": "Timbiras" + }, + "end": { + "lat": -4.09802, + "lon": -38.486, + "name": "Horizonte" + }, + "waypoint": { + "lat": 48.18623, + "lon": 16.2965, + "name": "Hietzing" + }, + "question": "Is Hietzing approximately on the direct path from Timbiras to Horizonte?", + "ground_truth": { + "answer": false, + "direct_distance_km": 605.2, + "via_waypoint_km": 16097.7, + "detour_km": 15492.5, + "detour_percent": 2560.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Timbiras", + " End: Horizonte", + " Waypoint: Hietzing", + "Step 2: Calculate direct distance", + " Start → End: 605.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16097.7 km", + "Step 4: Calculate detour", + " Detour = 16097.7 - 605.2 = 15492.5 km", + " Detour % = (15492.5 / 605.2) × 100 = 2560.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2560.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -8.9251, + "lon": 39.5131, + "name": "Kilwa Masoko" + }, + "end": { + "lat": -33.73333, + "lon": 150.93284, + "name": "Glenwood" + }, + "waypoint": { + "lat": 34.81213, + "lon": 105.17148, + "name": "Xiejiawan" + }, + "question": "Is Xiejiawan approximately on the direct path from Kilwa Masoko to Glenwood?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11380.8, + "via_waypoint_km": 17413.9, + "detour_km": 6033.1, + "detour_percent": 53.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kilwa Masoko", + " End: Glenwood", + " Waypoint: Xiejiawan", + "Step 2: Calculate direct distance", + " Start → End: 11380.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17413.9 km", + "Step 4: Calculate detour", + " Detour = 17413.9 - 11380.8 = 6033.1 km", + " Detour % = (6033.1 / 11380.8) × 100 = 53.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 53.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.3995, + "lon": -3.65853, + "name": "Numancia" + }, + "end": { + "lat": 30.1467, + "lon": 107.3196, + "name": "Yantai" + }, + "waypoint": { + "lat": 36.12868, + "lon": 7.53376, + "name": "Sedrata" + }, + "question": "Is Sedrata approximately on the direct path from Numancia to Yantai?", + "ground_truth": { + "answer": true, + "direct_distance_km": 9435.1, + "via_waypoint_km": 9956.7, + "detour_km": 521.6, + "detour_percent": 5.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Numancia", + " End: Yantai", + " Waypoint: Sedrata", + "Step 2: Calculate direct distance", + " Start → End: 9435.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9956.7 km", + "Step 4: Calculate detour", + " Detour = 9956.7 - 9435.1 = 521.6 km", + " Detour % = (521.6 / 9435.1) × 100 = 5.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 5.5% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -38.5545, + "lon": -58.73961, + "name": "Necochea" + }, + "end": { + "lat": 15.75623, + "lon": 76.19112, + "name": "Kushtagi" + }, + "waypoint": { + "lat": 56.47633, + "lon": 53.79782, + "name": "Sarapul" + }, + "question": "Is Sarapul approximately on the direct path from Necochea to Kushtagi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 14954.7, + "via_waypoint_km": 19722.7, + "detour_km": 4768.0, + "detour_percent": 31.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Necochea", + " End: Kushtagi", + " Waypoint: Sarapul", + "Step 2: Calculate direct distance", + " Start → End: 14954.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19722.7 km", + "Step 4: Calculate detour", + " Detour = 19722.7 - 14954.7 = 4768.0 km", + " Detour % = (4768.0 / 14954.7) × 100 = 31.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 31.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -4.09583, + "lon": 138.94806, + "name": "Wamena" + }, + "end": { + "lat": 39.74025, + "lon": 116.32693, + "name": "Daxing" + }, + "waypoint": { + "lat": 12.04161, + "lon": 75.35927, + "name": "Taliparamba" + }, + "question": "Is Taliparamba approximately on the direct path from Wamena to Daxing?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5395.5, + "via_waypoint_km": 12309.6, + "detour_km": 6914.1, + "detour_percent": 128.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Wamena", + " End: Daxing", + " Waypoint: Taliparamba", + "Step 2: Calculate direct distance", + " Start → End: 5395.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12309.6 km", + "Step 4: Calculate detour", + " Detour = 12309.6 - 5395.5 = 6914.1 km", + " Detour % = (6914.1 / 5395.5) × 100 = 128.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 128.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 6.73618, + "lon": 2.65866, + "name": "Sakété" + }, + "end": { + "lat": 36.71182, + "lon": 4.04591, + "name": "Tizi Ouzou" + }, + "waypoint": { + "lat": 0.78417, + "lon": 30.53111, + "name": "Kyarusozi" + }, + "question": "Is Kyarusozi approximately on the direct path from Sakété to Tizi Ouzou?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3336.1, + "via_waypoint_km": 7995.7, + "detour_km": 4659.6, + "detour_percent": 139.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sakété", + " End: Tizi Ouzou", + " Waypoint: Kyarusozi", + "Step 2: Calculate direct distance", + " Start → End: 3336.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 7995.7 km", + "Step 4: Calculate detour", + " Detour = 7995.7 - 3336.1 = 4659.6 km", + " Detour % = (4659.6 / 3336.1) × 100 = 139.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 139.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -22.97889, + "lon": -49.87056, + "name": "Ourinhos" + }, + "end": { + "lat": -18.91861, + "lon": -48.27722, + "name": "Uberlândia" + }, + "waypoint": { + "lat": 34.76143, + "lon": 135.51567, + "name": "Suita" + }, + "question": "Is Suita approximately on the direct path from Ourinhos to Uberlândia?", + "ground_truth": { + "answer": false, + "direct_distance_km": 480.8, + "via_waypoint_km": 36818.7, + "detour_km": 36337.8, + "detour_percent": 7557.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ourinhos", + " End: Uberlândia", + " Waypoint: Suita", + "Step 2: Calculate direct distance", + " Start → End: 480.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 36818.7 km", + "Step 4: Calculate detour", + " Detour = 36818.7 - 480.8 = 36337.8 km", + " Detour % = (36337.8 / 480.8) × 100 = 7557.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 7557.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 0.83194, + "lon": 109.43589, + "name": "Bengkayang" + }, + "end": { + "lat": 59.36588, + "lon": 17.99569, + "name": "Råsunda" + }, + "waypoint": { + "lat": 42.6987, + "lon": -71.13506, + "name": "North Andover" + }, + "question": "Is North Andover approximately on the direct path from Bengkayang to Råsunda?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10009.5, + "via_waypoint_km": 21167.9, + "detour_km": 11158.4, + "detour_percent": 111.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bengkayang", + " End: Råsunda", + " Waypoint: North Andover", + "Step 2: Calculate direct distance", + " Start → End: 10009.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21167.9 km", + "Step 4: Calculate detour", + " Detour = 21167.9 - 10009.5 = 11158.4 km", + " Detour % = (11158.4 / 10009.5) × 100 = 111.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 111.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 9.52167, + "lon": -6.48694, + "name": "Boundiali" + }, + "end": { + "lat": 56.26289, + "lon": 34.3289, + "name": "Rzhev" + }, + "waypoint": { + "lat": -37.8228, + "lon": 144.96434, + "name": "Southbank" + }, + "question": "Is Southbank approximately on the direct path from Boundiali to Rzhev?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6281.3, + "via_waypoint_km": 30405.0, + "detour_km": 24123.6, + "detour_percent": 384.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Boundiali", + " End: Rzhev", + " Waypoint: Southbank", + "Step 2: Calculate direct distance", + " Start → End: 6281.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 30405.0 km", + "Step 4: Calculate detour", + " Detour = 30405.0 - 6281.3 = 24123.6 km", + " Detour % = (24123.6 / 6281.3) × 100 = 384.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 384.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 41.80114, + "lon": -88.07479, + "name": "Lisle" + }, + "end": { + "lat": 33.39678, + "lon": -84.59576, + "name": "Peachtree City" + }, + "waypoint": { + "lat": 22.33412, + "lon": 114.16531, + "name": "Shek Kip Mei Estate" + }, + "question": "Is Shek Kip Mei Estate approximately on the direct path from Lisle to Peachtree City?", + "ground_truth": { + "answer": false, + "direct_distance_km": 983.3, + "via_waypoint_km": 26031.9, + "detour_km": 25048.6, + "detour_percent": 2547.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Lisle", + " End: Peachtree City", + " Waypoint: Shek Kip Mei Estate", + "Step 2: Calculate direct distance", + " Start → End: 983.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26031.9 km", + "Step 4: Calculate detour", + " Detour = 26031.9 - 983.3 = 25048.6 km", + " Detour % = (25048.6 / 983.3) × 100 = 2547.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2547.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -21.06417, + "lon": -41.36639, + "name": "Mimoso do Sul" + }, + "end": { + "lat": 7.7708, + "lon": 15.3568, + "name": "Touboro" + }, + "waypoint": { + "lat": 51.97266, + "lon": 17.50256, + "name": "Jarocin" + }, + "question": "Is Jarocin approximately on the direct path from Mimoso do Sul to Touboro?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6971.4, + "via_waypoint_km": 14836.7, + "detour_km": 7865.3, + "detour_percent": 112.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mimoso do Sul", + " End: Touboro", + " Waypoint: Jarocin", + "Step 2: Calculate direct distance", + " Start → End: 6971.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14836.7 km", + "Step 4: Calculate detour", + " Detour = 14836.7 - 6971.4 = 7865.3 km", + " Detour % = (7865.3 / 6971.4) × 100 = 112.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 112.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 35.8, + "lon": 140.06667, + "name": "Shiroi" + }, + "end": { + "lat": -8.1181, + "lon": 111.8935, + "name": "Boyolangu" + }, + "waypoint": { + "lat": 25.43596, + "lon": 92.19132, + "name": "Jowai" + }, + "question": "Is Jowai approximately on the direct path from Shiroi to Boyolangu?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5704.6, + "via_waypoint_km": 8973.3, + "detour_km": 3268.6, + "detour_percent": 57.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Shiroi", + " End: Boyolangu", + " Waypoint: Jowai", + "Step 2: Calculate direct distance", + " Start → End: 5704.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 8973.3 km", + "Step 4: Calculate detour", + " Detour = 8973.3 - 5704.6 = 3268.6 km", + " Detour % = (3268.6 / 5704.6) × 100 = 57.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 57.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -2.895, + "lon": -40.44917, + "name": "Jijoca de Jericoacoara" + }, + "end": { + "lat": 34.68333, + "lon": 137.56667, + "name": "Arai" + }, + "waypoint": { + "lat": 11.60462, + "lon": 40.01662, + "name": "Sifra" + }, + "question": "Is Sifra approximately on the direct path from Jijoca de Jericoacoara to Arai?", + "ground_truth": { + "answer": false, + "direct_distance_km": 16474.4, + "via_waypoint_km": 18988.7, + "detour_km": 2514.3, + "detour_percent": 15.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Jijoca de Jericoacoara", + " End: Arai", + " Waypoint: Sifra", + "Step 2: Calculate direct distance", + " Start → End: 16474.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18988.7 km", + "Step 4: Calculate detour", + " Detour = 18988.7 - 16474.4 = 2514.3 km", + " Detour % = (2514.3 / 16474.4) × 100 = 15.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 15.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 33.53719, + "lon": 36.36635, + "name": "‘Irbīn" + }, + "end": { + "lat": 12.50974, + "lon": 24.28519, + "name": "Kas" + }, + "waypoint": { + "lat": -9.39028, + "lon": -36.76, + "name": "Estrela de Alagoas" + }, + "question": "Is Estrela de Alagoas approximately on the direct path from ‘Irbīn to Kas?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2639.7, + "via_waypoint_km": 16226.5, + "detour_km": 13586.8, + "detour_percent": 514.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: ‘Irbīn", + " End: Kas", + " Waypoint: Estrela de Alagoas", + "Step 2: Calculate direct distance", + " Start → End: 2639.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16226.5 km", + "Step 4: Calculate detour", + " Detour = 16226.5 - 2639.7 = 13586.8 km", + " Detour % = (13586.8 / 2639.7) × 100 = 514.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 514.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 33.37981, + "lon": -7.61932, + "name": "Zawyat an Nwaçer" + }, + "end": { + "lat": 6.17146, + "lon": 7.00525, + "name": "Enugu-Ukwu" + }, + "waypoint": { + "lat": 49.9, + "lon": 2.3, + "name": "Amiens" + }, + "question": "Is Amiens approximately on the direct path from Zawyat an Nwaçer to Enugu-Ukwu?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3381.1, + "via_waypoint_km": 6891.5, + "detour_km": 3510.4, + "detour_percent": 103.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Zawyat an Nwaçer", + " End: Enugu-Ukwu", + " Waypoint: Amiens", + "Step 2: Calculate direct distance", + " Start → End: 3381.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 6891.5 km", + "Step 4: Calculate detour", + " Detour = 6891.5 - 3381.1 = 3510.4 km", + " Detour % = (3510.4 / 3381.1) × 100 = 103.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 103.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.26, + "lon": -2.1875, + "name": "Westbury" + }, + "end": { + "lat": 41.14331, + "lon": -8.50033, + "name": "São Pedro da Cova" + }, + "waypoint": { + "lat": 23.73333, + "lon": 114.68333, + "name": "Heyuan" + }, + "question": "Is Heyuan approximately on the direct path from Westbury to São Pedro da Cova?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1224.2, + "via_waypoint_km": 20382.7, + "detour_km": 19158.5, + "detour_percent": 1564.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Westbury", + " End: São Pedro da Cova", + " Waypoint: Heyuan", + "Step 2: Calculate direct distance", + " Start → End: 1224.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20382.7 km", + "Step 4: Calculate detour", + " Detour = 20382.7 - 1224.2 = 19158.5 km", + " Detour % = (19158.5 / 1224.2) × 100 = 1564.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1564.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -20.17944, + "lon": -48.03194, + "name": "Miguelópolis" + }, + "end": { + "lat": 48.84598, + "lon": 2.20289, + "name": "Saint-Cloud" + }, + "waypoint": { + "lat": 35.72854, + "lon": 139.2318, + "name": "Akiruno" + }, + "question": "Is Akiruno approximately on the direct path from Miguelópolis to Saint-Cloud?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9142.5, + "via_waypoint_km": 27842.9, + "detour_km": 18700.4, + "detour_percent": 204.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Miguelópolis", + " End: Saint-Cloud", + " Waypoint: Akiruno", + "Step 2: Calculate direct distance", + " Start → End: 9142.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27842.9 km", + "Step 4: Calculate detour", + " Detour = 27842.9 - 9142.5 = 18700.4 km", + " Detour % = (18700.4 / 9142.5) × 100 = 204.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 204.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 50.60911, + "lon": 10.69401, + "name": "Suhl" + }, + "end": { + "lat": 45.32163, + "lon": 8.41989, + "name": "Vercelli" + }, + "waypoint": { + "lat": 52.09, + "lon": 5.23333, + "name": "Zeist" + }, + "question": "Is Zeist approximately on the direct path from Suhl to Vercelli?", + "ground_truth": { + "answer": false, + "direct_distance_km": 611.8, + "via_waypoint_km": 1201.2, + "detour_km": 589.4, + "detour_percent": 96.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Suhl", + " End: Vercelli", + " Waypoint: Zeist", + "Step 2: Calculate direct distance", + " Start → End: 611.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 1201.2 km", + "Step 4: Calculate detour", + " Detour = 1201.2 - 611.8 = 589.4 km", + " Detour % = (589.4 / 611.8) × 100 = 96.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 96.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -17.22222, + "lon": -46.87472, + "name": "Paracatu" + }, + "end": { + "lat": 35.67855, + "lon": 139.69146, + "name": "Yoyogi" + }, + "waypoint": { + "lat": 53.40715, + "lon": 23.50228, + "name": "Sokółka" + }, + "question": "Is Sokółka approximately on the direct path from Paracatu to Yoyogi?", + "ground_truth": { + "answer": true, + "direct_distance_km": 17862.8, + "via_waypoint_km": 18671.5, + "detour_km": 808.8, + "detour_percent": 4.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Paracatu", + " End: Yoyogi", + " Waypoint: Sokółka", + "Step 2: Calculate direct distance", + " Start → End: 17862.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18671.5 km", + "Step 4: Calculate detour", + " Detour = 18671.5 - 17862.8 = 808.8 km", + " Detour % = (808.8 / 17862.8) × 100 = 4.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 4.5% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -30.50123, + "lon": 151.66553, + "name": "Armidale" + }, + "end": { + "lat": -31.76737, + "lon": 115.96936, + "name": "Ellenbrook" + }, + "waypoint": { + "lat": -20.18417, + "lon": -44.77111, + "name": "Carmo do Cajuru" + }, + "question": "Is Carmo do Cajuru approximately on the direct path from Armidale to Ellenbrook?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3385.2, + "via_waypoint_km": 27996.0, + "detour_km": 24610.9, + "detour_percent": 727.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Armidale", + " End: Ellenbrook", + " Waypoint: Carmo do Cajuru", + "Step 2: Calculate direct distance", + " Start → End: 3385.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27996.0 km", + "Step 4: Calculate detour", + " Detour = 27996.0 - 3385.2 = 24610.9 km", + " Detour % = (24610.9 / 3385.2) × 100 = 727.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 727.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 22.72394, + "lon": 88.34563, + "name": "Rishra" + }, + "end": { + "lat": -26.84806, + "lon": -52.99194, + "name": "Pinhalzinho" + }, + "waypoint": { + "lat": 20.91154, + "lon": -97.67554, + "name": "Álamo" + }, + "question": "Is Álamo approximately on the direct path from Rishra to Pinhalzinho?", + "ground_truth": { + "answer": false, + "direct_distance_km": 16100.0, + "via_waypoint_km": 22285.3, + "detour_km": 6185.3, + "detour_percent": 38.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Rishra", + " End: Pinhalzinho", + " Waypoint: Álamo", + "Step 2: Calculate direct distance", + " Start → End: 16100.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22285.3 km", + "Step 4: Calculate detour", + " Detour = 22285.3 - 16100.0 = 6185.3 km", + " Detour % = (6185.3 / 16100.0) × 100 = 38.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 38.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 45.40204, + "lon": 10.27681, + "name": "Ghedi" + }, + "end": { + "lat": 28.68208, + "lon": 112.87864, + "name": "Wenxing" + }, + "waypoint": { + "lat": 13.76667, + "lon": 100.43333, + "name": "Ban Khlong Bang Ramat" + }, + "question": "Is Ban Khlong Bang Ramat approximately on the direct path from Ghedi to Wenxing?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8676.8, + "via_waypoint_km": 11032.5, + "detour_km": 2355.7, + "detour_percent": 27.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ghedi", + " End: Wenxing", + " Waypoint: Ban Khlong Bang Ramat", + "Step 2: Calculate direct distance", + " Start → End: 8676.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11032.5 km", + "Step 4: Calculate detour", + " Detour = 11032.5 - 8676.8 = 2355.7 km", + " Detour % = (2355.7 / 8676.8) × 100 = 27.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 27.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.34257, + "lon": 48.15649, + "name": "Kyurdarmir" + }, + "end": { + "lat": 19.274, + "lon": -99.77169, + "name": "San Antonio Acahualco" + }, + "waypoint": { + "lat": 59.26754, + "lon": 10.40762, + "name": "Tønsberg" + }, + "question": "Is Tønsberg approximately on the direct path from Kyurdarmir to San Antonio Acahualco?", + "ground_truth": { + "answer": true, + "direct_distance_km": 12601.4, + "via_waypoint_km": 12614.6, + "detour_km": 13.1, + "detour_percent": 0.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kyurdarmir", + " End: San Antonio Acahualco", + " Waypoint: Tønsberg", + "Step 2: Calculate direct distance", + " Start → End: 12601.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12614.6 km", + "Step 4: Calculate detour", + " Detour = 12614.6 - 12601.4 = 13.1 km", + " Detour % = (13.1 / 12601.4) × 100 = 0.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.1% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 6.36536, + "lon": 2.41833, + "name": "Cotonou" + }, + "end": { + "lat": -27.83273, + "lon": 25.90833, + "name": "Hoopstad" + }, + "waypoint": { + "lat": 13.65584, + "lon": 78.93854, + "name": "Pīleru" + }, + "question": "Is Pīleru approximately on the direct path from Cotonou to Hoopstad?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4563.3, + "via_waypoint_km": 15729.3, + "detour_km": 11166.0, + "detour_percent": 244.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Cotonou", + " End: Hoopstad", + " Waypoint: Pīleru", + "Step 2: Calculate direct distance", + " Start → End: 4563.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15729.3 km", + "Step 4: Calculate detour", + " Detour = 15729.3 - 4563.3 = 11166.0 km", + " Detour % = (11166.0 / 4563.3) × 100 = 244.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 244.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.88882, + "lon": 14.32015, + "name": "Arpino" + }, + "end": { + "lat": 39.88145, + "lon": -83.09296, + "name": "Grove City" + }, + "waypoint": { + "lat": -37.68333, + "lon": 145.01667, + "name": "Thomastown" + }, + "question": "Is Thomastown approximately on the direct path from Arpino to Grove City?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7764.3, + "via_waypoint_km": 31701.5, + "detour_km": 23937.3, + "detour_percent": 308.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Arpino", + " End: Grove City", + " Waypoint: Thomastown", + "Step 2: Calculate direct distance", + " Start → End: 7764.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 31701.5 km", + "Step 4: Calculate detour", + " Detour = 31701.5 - 7764.3 = 23937.3 km", + " Detour % = (23937.3 / 7764.3) × 100 = 308.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 308.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -28.76659, + "lon": 28.24937, + "name": "Butha-Buthe" + }, + "end": { + "lat": 6.43809, + "lon": -75.33136, + "name": "Barbosa" + }, + "waypoint": { + "lat": 10.36667, + "lon": 106.66667, + "name": "Gò Công" + }, + "question": "Is Gò Công approximately on the direct path from Butha-Buthe to Barbosa?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11673.4, + "via_waypoint_km": 27589.0, + "detour_km": 15915.6, + "detour_percent": 136.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Butha-Buthe", + " End: Barbosa", + " Waypoint: Gò Công", + "Step 2: Calculate direct distance", + " Start → End: 11673.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27589.0 km", + "Step 4: Calculate detour", + " Detour = 27589.0 - 11673.4 = 15915.6 km", + " Detour % = (15915.6 / 11673.4) × 100 = 136.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 136.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.03122, + "lon": -75.04434, + "name": "Tacony" + }, + "end": { + "lat": 15.12022, + "lon": 105.79898, + "name": "Pakse" + }, + "waypoint": { + "lat": 43.40744, + "lon": -3.88498, + "name": "Camargo" + }, + "question": "Is Camargo approximately on the direct path from Tacony to Pakse?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13881.9, + "via_waypoint_km": 16104.5, + "detour_km": 2222.6, + "detour_percent": 16.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tacony", + " End: Pakse", + " Waypoint: Camargo", + "Step 2: Calculate direct distance", + " Start → End: 13881.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16104.5 km", + "Step 4: Calculate detour", + " Detour = 16104.5 - 13881.9 = 2222.6 km", + " Detour % = (2222.6 / 13881.9) × 100 = 16.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 16.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -4.30028, + "lon": -38.49778, + "name": "Chorozinho" + }, + "end": { + "lat": 2.43986, + "lon": -60.91146, + "name": "Mucajaí" + }, + "waypoint": { + "lat": 21.06895, + "lon": 105.81053, + "name": "Tây Hồ" + }, + "question": "Is Tây Hồ approximately on the direct path from Chorozinho to Mucajaí?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2600.8, + "via_waypoint_km": 32762.8, + "detour_km": 30162.0, + "detour_percent": 1159.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Chorozinho", + " End: Mucajaí", + " Waypoint: Tây Hồ", + "Step 2: Calculate direct distance", + " Start → End: 2600.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 32762.8 km", + "Step 4: Calculate detour", + " Detour = 32762.8 - 2600.8 = 30162.0 km", + " Detour % = (30162.0 / 2600.8) × 100 = 1159.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1159.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 34.22699, + "lon": 133.77791, + "name": "Zentsujichó" + }, + "end": { + "lat": 50.59833, + "lon": 4.32848, + "name": "Nivelles" + }, + "waypoint": { + "lat": -36.84853, + "lon": 174.76349, + "name": "Auckland" + }, + "question": "Is Auckland approximately on the direct path from Zentsujichó to Nivelles?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9361.9, + "via_waypoint_km": 27277.1, + "detour_km": 17915.2, + "detour_percent": 191.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Zentsujichó", + " End: Nivelles", + " Waypoint: Auckland", + "Step 2: Calculate direct distance", + " Start → End: 9361.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27277.1 km", + "Step 4: Calculate detour", + " Detour = 27277.1 - 9361.9 = 17915.2 km", + " Detour % = (17915.2 / 9361.9) × 100 = 191.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 191.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 20.65, + "lon": 41.41667, + "name": "Al ‘Aqīq" + }, + "end": { + "lat": 35.83333, + "lon": 139.58333, + "name": "Shiki" + }, + "waypoint": { + "lat": 37.28766, + "lon": -6.0541, + "name": "Coria del Río" + }, + "question": "Is Coria del Río approximately on the direct path from Al ‘Aqīq to Shiki?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9377.8, + "via_waypoint_km": 16061.2, + "detour_km": 6683.5, + "detour_percent": 71.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Al ‘Aqīq", + " End: Shiki", + " Waypoint: Coria del Río", + "Step 2: Calculate direct distance", + " Start → End: 9377.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16061.2 km", + "Step 4: Calculate detour", + " Detour = 16061.2 - 9377.8 = 6683.5 km", + " Detour % = (6683.5 / 9377.8) × 100 = 71.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 71.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -37.75819, + "lon": 145.00583, + "name": "Thornbury" + }, + "end": { + "lat": 17.20667, + "lon": -100.43306, + "name": "Atoyac de Álvarez" + }, + "waypoint": { + "lat": -23.59556, + "lon": -46.52472, + "name": "Sapopemba" + }, + "question": "Is Sapopemba approximately on the direct path from Thornbury to Atoyac de Álvarez?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13307.1, + "via_waypoint_km": 20492.0, + "detour_km": 7184.9, + "detour_percent": 54.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Thornbury", + " End: Atoyac de Álvarez", + " Waypoint: Sapopemba", + "Step 2: Calculate direct distance", + " Start → End: 13307.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20492.0 km", + "Step 4: Calculate detour", + " Detour = 20492.0 - 13307.1 = 7184.9 km", + " Detour % = (7184.9 / 13307.1) × 100 = 54.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 54.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -32.23013, + "lon": 115.78128, + "name": "Kwinana" + }, + "end": { + "lat": 33.66761, + "lon": -84.01769, + "name": "Conyers" + }, + "waypoint": { + "lat": 15.64925, + "lon": 32.53458, + "name": "Khartoum North" + }, + "question": "Is Khartoum North approximately on the direct path from Kwinana to Conyers?", + "ground_truth": { + "answer": false, + "direct_distance_km": 18163.6, + "via_waypoint_km": 21661.0, + "detour_km": 3497.4, + "detour_percent": 19.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kwinana", + " End: Conyers", + " Waypoint: Khartoum North", + "Step 2: Calculate direct distance", + " Start → End: 18163.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21661.0 km", + "Step 4: Calculate detour", + " Detour = 21661.0 - 18163.6 = 3497.4 km", + " Detour % = (3497.4 / 18163.6) × 100 = 19.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 19.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -22.55941, + "lon": 17.08323, + "name": "Windhoek" + }, + "end": { + "lat": 49.21141, + "lon": 119.75582, + "name": "Hulunbuir" + }, + "waypoint": { + "lat": 14.4968, + "lon": 121.2846, + "name": "Tanay" + }, + "question": "Is Tanay approximately on the direct path from Windhoek to Hulunbuir?", + "ground_truth": { + "answer": false, + "direct_distance_km": 12788.8, + "via_waypoint_km": 15914.3, + "detour_km": 3125.6, + "detour_percent": 24.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Windhoek", + " End: Hulunbuir", + " Waypoint: Tanay", + "Step 2: Calculate direct distance", + " Start → End: 12788.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15914.3 km", + "Step 4: Calculate detour", + " Detour = 15914.3 - 12788.8 = 3125.6 km", + " Detour % = (3125.6 / 12788.8) × 100 = 24.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 24.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.70621, + "lon": -73.61874, + "name": "Hempstead" + }, + "end": { + "lat": 50.38969, + "lon": 30.22532, + "name": "Bilohorodka" + }, + "waypoint": { + "lat": -32.05799, + "lon": 115.91814, + "name": "Canning Vale" + }, + "question": "Is Canning Vale approximately on the direct path from Hempstead to Bilohorodka?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7477.3, + "via_waypoint_km": 31141.5, + "detour_km": 23664.2, + "detour_percent": 316.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Hempstead", + " End: Bilohorodka", + " Waypoint: Canning Vale", + "Step 2: Calculate direct distance", + " Start → End: 7477.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 31141.5 km", + "Step 4: Calculate detour", + " Detour = 31141.5 - 7477.3 = 23664.2 km", + " Detour % = (23664.2 / 7477.3) × 100 = 316.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 316.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 31.55037, + "lon": 105.99381, + "name": "Langzhong" + }, + "end": { + "lat": 5.46779, + "lon": -3.20711, + "name": "Aboisso" + }, + "waypoint": { + "lat": 50.6, + "lon": 6.3, + "name": "Simmerath" + }, + "question": "Is Simmerath approximately on the direct path from Langzhong to Aboisso?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11480.4, + "via_waypoint_km": 13073.7, + "detour_km": 1593.2, + "detour_percent": 13.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Langzhong", + " End: Aboisso", + " Waypoint: Simmerath", + "Step 2: Calculate direct distance", + " Start → End: 11480.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13073.7 km", + "Step 4: Calculate detour", + " Detour = 13073.7 - 11480.4 = 1593.2 km", + " Detour % = (1593.2 / 11480.4) × 100 = 13.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 13.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 35.17388, + "lon": 138.90691, + "name": "Susono" + }, + "end": { + "lat": 25.11667, + "lon": 114.3, + "name": "Xiongzhou" + }, + "waypoint": { + "lat": -12.05, + "lon": -38.76667, + "name": "Irará" + }, + "question": "Is Irará approximately on the direct path from Susono to Xiongzhou?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2607.3, + "via_waypoint_km": 34269.1, + "detour_km": 31661.8, + "detour_percent": 1214.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Susono", + " End: Xiongzhou", + " Waypoint: Irará", + "Step 2: Calculate direct distance", + " Start → End: 2607.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 34269.1 km", + "Step 4: Calculate detour", + " Detour = 34269.1 - 2607.3 = 31661.8 km", + " Detour % = (31661.8 / 2607.3) × 100 = 1214.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1214.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.99313, + "lon": 4.47865, + "name": "Berkel en Rodenrijs" + }, + "end": { + "lat": -28.52423, + "lon": 28.81582, + "name": "Phuthaditjhaba" + }, + "waypoint": { + "lat": 14.33236, + "lon": -16.40513, + "name": "Fatick" + }, + "question": "Is Fatick approximately on the direct path from Berkel en Rodenrijs to Phuthaditjhaba?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9262.5, + "via_waypoint_km": 11388.6, + "detour_km": 2126.1, + "detour_percent": 23.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Berkel en Rodenrijs", + " End: Phuthaditjhaba", + " Waypoint: Fatick", + "Step 2: Calculate direct distance", + " Start → End: 9262.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11388.6 km", + "Step 4: Calculate detour", + " Detour = 11388.6 - 9262.5 = 2126.1 km", + " Detour % = (2126.1 / 9262.5) × 100 = 23.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 23.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 35.40611, + "lon": 129.16861, + "name": "Ungsang" + }, + "end": { + "lat": -10.99806, + "lon": -37.31056, + "name": "Itaporanga d'Ajuda" + }, + "waypoint": { + "lat": 28.09193, + "lon": 30.75813, + "name": "Minya" + }, + "question": "Is Minya approximately on the direct path from Ungsang to Itaporanga d'Ajuda?", + "ground_truth": { + "answer": true, + "direct_distance_km": 16977.2, + "via_waypoint_km": 17439.7, + "detour_km": 462.6, + "detour_percent": 2.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ungsang", + " End: Itaporanga d'Ajuda", + " Waypoint: Minya", + "Step 2: Calculate direct distance", + " Start → End: 16977.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17439.7 km", + "Step 4: Calculate detour", + " Detour = 17439.7 - 16977.2 = 462.6 km", + " Detour % = (462.6 / 16977.2) × 100 = 2.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2.7% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 19.02475, + "lon": 73.31688, + "name": "Neral" + }, + "end": { + "lat": 57.50728, + "lon": 12.69463, + "name": "Kinna" + }, + "waypoint": { + "lat": 41.52614, + "lon": -87.88922, + "name": "Mokena" + }, + "question": "Is Mokena approximately on the direct path from Neral to Kinna?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6493.1, + "via_waypoint_km": 19788.5, + "detour_km": 13295.4, + "detour_percent": 204.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Neral", + " End: Kinna", + " Waypoint: Mokena", + "Step 2: Calculate direct distance", + " Start → End: 6493.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19788.5 km", + "Step 4: Calculate detour", + " Detour = 19788.5 - 6493.1 = 13295.4 km", + " Detour % = (13295.4 / 6493.1) × 100 = 204.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 204.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -22.59861, + "lon": -48.80028, + "name": "Lençóis Paulista" + }, + "end": { + "lat": -1.10148, + "lon": 37.0132, + "name": "Juja" + }, + "waypoint": { + "lat": 61.05871, + "lon": 28.18871, + "name": "Lappeenranta" + }, + "question": "Is Lappeenranta approximately on the direct path from Lençóis Paulista to Juja?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9530.7, + "via_waypoint_km": 18476.5, + "detour_km": 8945.8, + "detour_percent": 93.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Lençóis Paulista", + " End: Juja", + " Waypoint: Lappeenranta", + "Step 2: Calculate direct distance", + " Start → End: 9530.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18476.5 km", + "Step 4: Calculate detour", + " Detour = 18476.5 - 9530.7 = 8945.8 km", + " Detour % = (8945.8 / 9530.7) × 100 = 93.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 93.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 21.59422, + "lon": 105.84817, + "name": "Thái Nguyên" + }, + "end": { + "lat": 38.45821, + "lon": 40.63888, + "name": "Lice" + }, + "waypoint": { + "lat": 37.44882, + "lon": -77.47353, + "name": "Meadowbrook" + }, + "question": "Is Meadowbrook approximately on the direct path from Thái Nguyên to Lice?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6417.2, + "via_waypoint_km": 22904.4, + "detour_km": 16487.2, + "detour_percent": 256.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Thái Nguyên", + " End: Lice", + " Waypoint: Meadowbrook", + "Step 2: Calculate direct distance", + " Start → End: 6417.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22904.4 km", + "Step 4: Calculate detour", + " Detour = 22904.4 - 6417.2 = 16487.2 km", + " Detour % = (16487.2 / 6417.2) × 100 = 256.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 256.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -4.21667, + "lon": 33.18333, + "name": "Nzega" + }, + "end": { + "lat": 53.26682, + "lon": -113.55201, + "name": "Leduc" + }, + "waypoint": { + "lat": -39.93333, + "lon": 175.05, + "name": "Whanganui" + }, + "question": "Is Whanganui approximately on the direct path from Nzega to Leduc?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13776.4, + "via_waypoint_km": 26160.2, + "detour_km": 12383.8, + "detour_percent": 89.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Nzega", + " End: Leduc", + " Waypoint: Whanganui", + "Step 2: Calculate direct distance", + " Start → End: 13776.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26160.2 km", + "Step 4: Calculate detour", + " Detour = 26160.2 - 13776.4 = 12383.8 km", + " Detour % = (12383.8 / 13776.4) × 100 = 89.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 89.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 24.89843, + "lon": 88.52844, + "name": "Mohāmmadpur" + }, + "end": { + "lat": 24.89879, + "lon": 80.25921, + "name": "Ajaigarh" + }, + "waypoint": { + "lat": 39.62839, + "lon": -84.15938, + "name": "Centerville" + }, + "question": "Is Centerville approximately on the direct path from Mohāmmadpur to Ajaigarh?", + "ground_truth": { + "answer": false, + "direct_distance_km": 833.9, + "via_waypoint_km": 25460.0, + "detour_km": 24626.1, + "detour_percent": 2953.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mohāmmadpur", + " End: Ajaigarh", + " Waypoint: Centerville", + "Step 2: Calculate direct distance", + " Start → End: 833.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25460.0 km", + "Step 4: Calculate detour", + " Detour = 25460.0 - 833.9 = 24626.1 km", + " Detour % = (24626.1 / 833.9) × 100 = 2953.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2953.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 25.67927, + "lon": -80.31727, + "name": "Kendall" + }, + "end": { + "lat": 21.63585, + "lon": 73.04752, + "name": "Sarangpore" + }, + "waypoint": { + "lat": 51.3246, + "lon": 28.80351, + "name": "Ovruch" + }, + "question": "Is Ovruch approximately on the direct path from Kendall to Sarangpore?", + "ground_truth": { + "answer": true, + "direct_distance_km": 14020.6, + "via_waypoint_km": 14055.5, + "detour_km": 34.9, + "detour_percent": 0.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kendall", + " End: Sarangpore", + " Waypoint: Ovruch", + "Step 2: Calculate direct distance", + " Start → End: 14020.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14055.5 km", + "Step 4: Calculate detour", + " Detour = 14055.5 - 14020.6 = 34.9 km", + " Detour % = (34.9 / 14020.6) × 100 = 0.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.2% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 34.82242, + "lon": 135.76604, + "name": "Tanabe" + }, + "end": { + "lat": -21.235, + "lon": -45.75861, + "name": "Campos Gerais" + }, + "waypoint": { + "lat": -37.88461, + "lon": 145.29539, + "name": "Ferntree Gully" + }, + "question": "Is Ferntree Gully approximately on the direct path from Tanabe to Campos Gerais?", + "ground_truth": { + "answer": false, + "direct_distance_km": 18496.9, + "via_waypoint_km": 21484.7, + "detour_km": 2987.8, + "detour_percent": 16.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tanabe", + " End: Campos Gerais", + " Waypoint: Ferntree Gully", + "Step 2: Calculate direct distance", + " Start → End: 18496.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21484.7 km", + "Step 4: Calculate detour", + " Detour = 21484.7 - 18496.9 = 2987.8 km", + " Detour % = (2987.8 / 18496.9) × 100 = 16.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 16.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 29.69744, + "lon": 105.71369, + "name": "Longgang" + }, + "end": { + "lat": 16.10864, + "lon": 102.25808, + "name": "Kaeng Khro" + }, + "waypoint": { + "lat": -33.90741, + "lon": 151.15546, + "name": "Marrickville" + }, + "question": "Is Marrickville approximately on the direct path from Longgang to Kaeng Khro?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1551.6, + "via_waypoint_km": 16129.5, + "detour_km": 14577.9, + "detour_percent": 939.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Longgang", + " End: Kaeng Khro", + " Waypoint: Marrickville", + "Step 2: Calculate direct distance", + " Start → End: 1551.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16129.5 km", + "Step 4: Calculate detour", + " Detour = 16129.5 - 1551.6 = 14577.9 km", + " Detour % = (14577.9 / 1551.6) × 100 = 939.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 939.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 11.86064, + "lon": 9.0027, + "name": "Gaya" + }, + "end": { + "lat": 34.72083, + "lon": 104.88583, + "name": "Wushan" + }, + "waypoint": { + "lat": 10.60156, + "lon": -66.93293, + "name": "La Guaira" + }, + "question": "Is La Guaira approximately on the direct path from Gaya to Wushan?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9787.0, + "via_waypoint_km": 23157.5, + "detour_km": 13370.6, + "detour_percent": 136.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Gaya", + " End: Wushan", + " Waypoint: La Guaira", + "Step 2: Calculate direct distance", + " Start → End: 9787.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23157.5 km", + "Step 4: Calculate detour", + " Detour = 23157.5 - 9787.0 = 13370.6 km", + " Detour % = (13370.6 / 9787.0) × 100 = 136.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 136.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 48.14019, + "lon": 37.75008, + "name": "Avdiivka" + }, + "end": { + "lat": 45.76788, + "lon": 4.85064, + "name": "Lyon 06" + }, + "waypoint": { + "lat": 8.53954, + "lon": 124.75411, + "name": "Tagoloan" + }, + "question": "Is Tagoloan approximately on the direct path from Avdiivka to Lyon 06?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2491.7, + "via_waypoint_km": 20615.3, + "detour_km": 18123.6, + "detour_percent": 727.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Avdiivka", + " End: Lyon 06", + " Waypoint: Tagoloan", + "Step 2: Calculate direct distance", + " Start → End: 2491.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20615.3 km", + "Step 4: Calculate detour", + " Detour = 20615.3 - 2491.7 = 18123.6 km", + " Detour % = (18123.6 / 2491.7) × 100 = 727.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 727.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 8.49111, + "lon": -7.17861, + "name": "Borotou-Koro" + }, + "end": { + "lat": -31.6515, + "lon": -68.28216, + "name": "Caucete" + }, + "waypoint": { + "lat": -2.75556, + "lon": -42.82591, + "name": "Barreirinhas" + }, + "question": "Is Barreirinhas approximately on the direct path from Borotou-Koro to Caucete?", + "ground_truth": { + "answer": true, + "direct_distance_km": 7869.3, + "via_waypoint_km": 8319.4, + "detour_km": 450.1, + "detour_percent": 5.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Borotou-Koro", + " End: Caucete", + " Waypoint: Barreirinhas", + "Step 2: Calculate direct distance", + " Start → End: 7869.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 8319.4 km", + "Step 4: Calculate detour", + " Detour = 8319.4 - 7869.3 = 450.1 km", + " Detour % = (450.1 / 7869.3) × 100 = 5.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 5.7% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -7.77639, + "lon": -34.89222, + "name": "Itapissuma" + }, + "end": { + "lat": 29.85, + "lon": 31.26667, + "name": "Al Badrashayn" + }, + "waypoint": { + "lat": 17.71888, + "lon": 73.39693, + "name": "Khed" + }, + "question": "Is Khed approximately on the direct path from Itapissuma to Al Badrashayn?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8199.5, + "via_waypoint_km": 16665.9, + "detour_km": 8466.4, + "detour_percent": 103.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Itapissuma", + " End: Al Badrashayn", + " Waypoint: Khed", + "Step 2: Calculate direct distance", + " Start → End: 8199.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16665.9 km", + "Step 4: Calculate detour", + " Detour = 16665.9 - 8199.5 = 8466.4 km", + " Detour % = (8466.4 / 8199.5) × 100 = 103.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 103.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 22.90877, + "lon": 88.39674, + "name": "Hugli" + }, + "end": { + "lat": 12.28, + "lon": -14.22222, + "name": "Gabú" + }, + "waypoint": { + "lat": -28.29917, + "lon": -54.26306, + "name": "Santo Ângelo" + }, + "question": "Is Santo Ângelo approximately on the direct path from Hugli to Gabú?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10734.4, + "via_waypoint_km": 22475.4, + "detour_km": 11741.1, + "detour_percent": 109.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Hugli", + " End: Gabú", + " Waypoint: Santo Ângelo", + "Step 2: Calculate direct distance", + " Start → End: 10734.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22475.4 km", + "Step 4: Calculate detour", + " Detour = 22475.4 - 10734.4 = 11741.1 km", + " Detour % = (11741.1 / 10734.4) × 100 = 109.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 109.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -33.92893, + "lon": 151.05111, + "name": "Punchbowl" + }, + "end": { + "lat": 34.06803, + "lon": 134.35033, + "name": "Kamojimachō-jōgejima" + }, + "waypoint": { + "lat": 52.33645, + "lon": 13.41316, + "name": "Blankenfelde-Mahlow" + }, + "question": "Is Blankenfelde-Mahlow approximately on the direct path from Punchbowl to Kamojimachō-jōgejima?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7758.9, + "via_waypoint_km": 24927.0, + "detour_km": 17168.1, + "detour_percent": 221.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Punchbowl", + " End: Kamojimachō-jōgejima", + " Waypoint: Blankenfelde-Mahlow", + "Step 2: Calculate direct distance", + " Start → End: 7758.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24927.0 km", + "Step 4: Calculate detour", + " Detour = 24927.0 - 7758.9 = 17168.1 km", + " Detour % = (17168.1 / 7758.9) × 100 = 221.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 221.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 43.20028, + "lon": 141.75972, + "name": "Iwamizawa" + }, + "end": { + "lat": 22.59373, + "lon": 75.29774, + "name": "Dhār" + }, + "waypoint": { + "lat": -2.63199, + "lon": -80.38808, + "name": "Playas" + }, + "question": "Is Playas approximately on the direct path from Iwamizawa to Dhār?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6435.4, + "via_waypoint_km": 30461.7, + "detour_km": 24026.4, + "detour_percent": 373.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Iwamizawa", + " End: Dhār", + " Waypoint: Playas", + "Step 2: Calculate direct distance", + " Start → End: 6435.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 30461.7 km", + "Step 4: Calculate detour", + " Detour = 30461.7 - 6435.4 = 24026.4 km", + " Detour % = (24026.4 / 6435.4) × 100 = 373.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 373.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 22.40711, + "lon": -79.96581, + "name": "Santa Clara" + }, + "end": { + "lat": 33.53375, + "lon": -82.13067, + "name": "Evans" + }, + "waypoint": { + "lat": 52.08362, + "lon": 15.62513, + "name": "Sulechów" + }, + "question": "Is Sulechów approximately on the direct path from Santa Clara to Evans?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1255.3, + "via_waypoint_km": 16043.7, + "detour_km": 14788.5, + "detour_percent": 1178.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Santa Clara", + " End: Evans", + " Waypoint: Sulechów", + "Step 2: Calculate direct distance", + " Start → End: 1255.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16043.7 km", + "Step 4: Calculate detour", + " Detour = 16043.7 - 1255.3 = 14788.5 km", + " Detour % = (14788.5 / 1255.3) × 100 = 1178.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1178.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 35.16667, + "lon": 136.71667, + "name": "Tsushima" + }, + "end": { + "lat": -20.81917, + "lon": -49.52111, + "name": "Mirassol" + }, + "waypoint": { + "lat": 56.26792, + "lon": 90.50145, + "name": "Achinsk" + }, + "question": "Is Achinsk approximately on the direct path from Tsushima to Mirassol?", + "ground_truth": { + "answer": true, + "direct_distance_km": 18307.3, + "via_waypoint_km": 19060.8, + "detour_km": 753.5, + "detour_percent": 4.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tsushima", + " End: Mirassol", + " Waypoint: Achinsk", + "Step 2: Calculate direct distance", + " Start → End: 18307.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19060.8 km", + "Step 4: Calculate detour", + " Detour = 19060.8 - 18307.3 = 753.5 km", + " Detour % = (753.5 / 18307.3) × 100 = 4.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 4.1% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 43.01668, + "lon": -88.00703, + "name": "West Allis" + }, + "end": { + "lat": 19.88372, + "lon": -103.60073, + "name": "Sayula" + }, + "waypoint": { + "lat": -6.53333, + "lon": 37.2, + "name": "Msowero" + }, + "question": "Is Msowero approximately on the direct path from West Allis to Sayula?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2955.9, + "via_waypoint_km": 28851.5, + "detour_km": 25895.6, + "detour_percent": 876.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: West Allis", + " End: Sayula", + " Waypoint: Msowero", + "Step 2: Calculate direct distance", + " Start → End: 2955.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 28851.5 km", + "Step 4: Calculate detour", + " Detour = 28851.5 - 2955.9 = 25895.6 km", + " Detour % = (25895.6 / 2955.9) × 100 = 876.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 876.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 11.84854, + "lon": -86.43839, + "name": "San Rafael del Sur" + }, + "end": { + "lat": 28.83826, + "lon": -105.91214, + "name": "Aldama" + }, + "waypoint": { + "lat": -17.35, + "lon": 49.03333, + "name": "Vohibinany" + }, + "question": "Is Vohibinany approximately on the direct path from San Rafael del Sur to Aldama?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2764.7, + "via_waypoint_km": 32355.5, + "detour_km": 29590.9, + "detour_percent": 1070.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: San Rafael del Sur", + " End: Aldama", + " Waypoint: Vohibinany", + "Step 2: Calculate direct distance", + " Start → End: 2764.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 32355.5 km", + "Step 4: Calculate detour", + " Detour = 32355.5 - 2764.7 = 29590.9 km", + " Detour % = (29590.9 / 2764.7) × 100 = 1070.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1070.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 8.99856, + "lon": 77.38763, + "name": "Sāmbūrvadakara" + }, + "end": { + "lat": -7.90278, + "lon": -35.98833, + "name": "Vertentes" + }, + "waypoint": { + "lat": 44.4705, + "lon": 11.40851, + "name": "San Lazzaro" + }, + "question": "Is San Lazzaro approximately on the direct path from Sāmbūrvadakara to Vertentes?", + "ground_truth": { + "answer": false, + "direct_distance_km": 12696.6, + "via_waypoint_km": 14919.5, + "detour_km": 2222.9, + "detour_percent": 17.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sāmbūrvadakara", + " End: Vertentes", + " Waypoint: San Lazzaro", + "Step 2: Calculate direct distance", + " Start → End: 12696.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14919.5 km", + "Step 4: Calculate detour", + " Detour = 14919.5 - 12696.6 = 2222.9 km", + " Detour % = (2222.9 / 12696.6) × 100 = 17.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 17.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 12.89439, + "lon": 11.92649, + "name": "Geidam" + }, + "end": { + "lat": 22.19089, + "lon": 113.54733, + "name": "Sé" + }, + "waypoint": { + "lat": -2.77583, + "lon": -44.06583, + "name": "Icatu" + }, + "question": "Is Icatu approximately on the direct path from Geidam to Sé?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10629.9, + "via_waypoint_km": 23195.3, + "detour_km": 12565.5, + "detour_percent": 118.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Geidam", + " End: Sé", + " Waypoint: Icatu", + "Step 2: Calculate direct distance", + " Start → End: 10629.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23195.3 km", + "Step 4: Calculate detour", + " Detour = 23195.3 - 10629.9 = 12565.5 km", + " Detour % = (12565.5 / 10629.9) × 100 = 118.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 118.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 30.80767, + "lon": 108.40846, + "name": "Chenjiaba" + }, + "end": { + "lat": 31.21537, + "lon": 76.14149, + "name": "Garhshankar" + }, + "waypoint": { + "lat": 35.86187, + "lon": 50.87424, + "name": "Kamālshahr" + }, + "question": "Is Kamālshahr approximately on the direct path from Chenjiaba to Garhshankar?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3064.4, + "via_waypoint_km": 7689.1, + "detour_km": 4624.8, + "detour_percent": 150.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Chenjiaba", + " End: Garhshankar", + " Waypoint: Kamālshahr", + "Step 2: Calculate direct distance", + " Start → End: 3064.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 7689.1 km", + "Step 4: Calculate detour", + " Detour = 7689.1 - 3064.4 = 4624.8 km", + " Detour % = (4624.8 / 3064.4) × 100 = 150.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 150.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 39.9936, + "lon": -105.08971, + "name": "Lafayette" + }, + "end": { + "lat": 28.84434, + "lon": 81.71011, + "name": "Dailekh" + }, + "waypoint": { + "lat": -14.05, + "lon": -52.15861, + "name": "Água Boa" + }, + "question": "Is Água Boa approximately on the direct path from Lafayette to Dailekh?", + "ground_truth": { + "answer": false, + "direct_distance_km": 12328.4, + "via_waypoint_km": 23121.3, + "detour_km": 10792.8, + "detour_percent": 87.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Lafayette", + " End: Dailekh", + " Waypoint: Água Boa", + "Step 2: Calculate direct distance", + " Start → End: 12328.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23121.3 km", + "Step 4: Calculate detour", + " Detour = 23121.3 - 12328.4 = 10792.8 km", + " Detour % = (10792.8 / 12328.4) × 100 = 87.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 87.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 42.0937, + "lon": 19.09841, + "name": "Bar" + }, + "end": { + "lat": 51.80854, + "lon": 68.35823, + "name": "Atbasar" + }, + "waypoint": { + "lat": 39.95622, + "lon": -75.05795, + "name": "Pennsauken" + }, + "question": "Is Pennsauken approximately on the direct path from Bar to Atbasar?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3811.9, + "via_waypoint_km": 16674.6, + "detour_km": 12862.7, + "detour_percent": 337.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bar", + " End: Atbasar", + " Waypoint: Pennsauken", + "Step 2: Calculate direct distance", + " Start → End: 3811.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16674.6 km", + "Step 4: Calculate detour", + " Detour = 16674.6 - 3811.9 = 12862.7 km", + " Detour % = (12862.7 / 3811.9) × 100 = 337.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 337.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 21.55333, + "lon": 76.88972, + "name": "Dhārni" + }, + "end": { + "lat": 51.50971, + "lon": -0.0016, + "name": "Blackwall" + }, + "waypoint": { + "lat": 20.05523, + "lon": -97.05214, + "name": "Villa Independencia" + }, + "question": "Is Villa Independencia approximately on the direct path from Dhārni to Blackwall?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7254.3, + "via_waypoint_km": 24088.3, + "detour_km": 16834.0, + "detour_percent": 232.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Dhārni", + " End: Blackwall", + " Waypoint: Villa Independencia", + "Step 2: Calculate direct distance", + " Start → End: 7254.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24088.3 km", + "Step 4: Calculate detour", + " Detour = 24088.3 - 7254.3 = 16834.0 km", + " Detour % = (16834.0 / 7254.3) × 100 = 232.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 232.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 39.59111, + "lon": -0.46151, + "name": "Bétera" + }, + "end": { + "lat": 37.86014, + "lon": 27.25713, + "name": "Kuşadası" + }, + "waypoint": { + "lat": 36.7415, + "lon": 49.4161, + "name": "Pādegān-e Manjīl" + }, + "question": "Is Pādegān-e Manjīl approximately on the direct path from Bétera to Kuşadası?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2402.7, + "via_waypoint_km": 6275.2, + "detour_km": 3872.5, + "detour_percent": 161.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bétera", + " End: Kuşadası", + " Waypoint: Pādegān-e Manjīl", + "Step 2: Calculate direct distance", + " Start → End: 2402.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 6275.2 km", + "Step 4: Calculate detour", + " Detour = 6275.2 - 2402.7 = 3872.5 km", + " Detour % = (3872.5 / 2402.7) × 100 = 161.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 161.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 23.37795, + "lon": 120.16154, + "name": "Budai" + }, + "end": { + "lat": 17.31597, + "lon": 99.83186, + "name": "Sawankhalok" + }, + "waypoint": { + "lat": 48.53214, + "lon": 35.86878, + "name": "Pavlohrad" + }, + "question": "Is Pavlohrad approximately on the direct path from Budai to Sawankhalok?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2221.5, + "via_waypoint_km": 14344.3, + "detour_km": 12122.8, + "detour_percent": 545.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Budai", + " End: Sawankhalok", + " Waypoint: Pavlohrad", + "Step 2: Calculate direct distance", + " Start → End: 2221.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14344.3 km", + "Step 4: Calculate detour", + " Detour = 14344.3 - 2221.5 = 12122.8 km", + " Detour % = (12122.8 / 2221.5) × 100 = 545.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 545.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 10.94764, + "lon": 75.95643, + "name": "Cheriyamundam" + }, + "end": { + "lat": 30.71833, + "lon": -112.15837, + "name": "Heroica Caborca" + }, + "waypoint": { + "lat": 55.48953, + "lon": 60.20885, + "name": "Karabash" + }, + "question": "Is Karabash approximately on the direct path from Cheriyamundam to Heroica Caborca?", + "ground_truth": { + "answer": true, + "direct_distance_km": 15301.6, + "via_waypoint_km": 15541.4, + "detour_km": 239.7, + "detour_percent": 1.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Cheriyamundam", + " End: Heroica Caborca", + " Waypoint: Karabash", + "Step 2: Calculate direct distance", + " Start → End: 15301.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15541.4 km", + "Step 4: Calculate detour", + " Detour = 15541.4 - 15301.6 = 239.7 km", + " Detour % = (239.7 / 15301.6) × 100 = 1.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1.6% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 53.33333, + "lon": 8.48333, + "name": "Brake (Unterweser)" + }, + "end": { + "lat": 27.81993, + "lon": -82.68944, + "name": "West and East Lealman" + }, + "waypoint": { + "lat": 44.92754, + "lon": 127.16039, + "name": "Wuchang" + }, + "question": "Is Wuchang approximately on the direct path from Brake (Unterweser) to West and East Lealman?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7637.1, + "via_waypoint_km": 19015.2, + "detour_km": 11378.1, + "detour_percent": 149.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Brake (Unterweser)", + " End: West and East Lealman", + " Waypoint: Wuchang", + "Step 2: Calculate direct distance", + " Start → End: 7637.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19015.2 km", + "Step 4: Calculate detour", + " Detour = 19015.2 - 7637.1 = 11378.1 km", + " Detour % = (11378.1 / 7637.1) × 100 = 149.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 149.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 53.85342, + "lon": 46.3513, + "name": "Inza" + }, + "end": { + "lat": 45.40204, + "lon": 10.27681, + "name": "Ghedi" + }, + "waypoint": { + "lat": 11.4982, + "lon": 75.68069, + "name": "Kizhariyūr" + }, + "question": "Is Kizhariyūr approximately on the direct path from Inza to Ghedi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2727.9, + "via_waypoint_km": 12561.2, + "detour_km": 9833.3, + "detour_percent": 360.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Inza", + " End: Ghedi", + " Waypoint: Kizhariyūr", + "Step 2: Calculate direct distance", + " Start → End: 2727.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12561.2 km", + "Step 4: Calculate detour", + " Detour = 12561.2 - 2727.9 = 9833.3 km", + " Detour % = (9833.3 / 2727.9) × 100 = 360.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 360.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 10.60768, + "lon": -72.97901, + "name": "Villanueva" + }, + "end": { + "lat": 35.64785, + "lon": -0.5695, + "name": "En Nedjma" + }, + "waypoint": { + "lat": 1.61361, + "lon": 16.05167, + "name": "Ouesso" + }, + "question": "Is Ouesso approximately on the direct path from Villanueva to En Nedjma?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7738.5, + "via_waypoint_km": 14023.6, + "detour_km": 6285.1, + "detour_percent": 81.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Villanueva", + " End: En Nedjma", + " Waypoint: Ouesso", + "Step 2: Calculate direct distance", + " Start → End: 7738.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14023.6 km", + "Step 4: Calculate detour", + " Detour = 14023.6 - 7738.5 = 6285.1 km", + " Detour % = (6285.1 / 7738.5) × 100 = 81.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 81.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -5.24667, + "lon": -38.13056, + "name": "Tabuleiro do Norte" + }, + "end": { + "lat": 7.6685, + "lon": 5.12627, + "name": "Igede-Ekiti" + }, + "waypoint": { + "lat": -37.88214, + "lon": 144.98215, + "name": "Elwood" + }, + "question": "Is Elwood approximately on the direct path from Tabuleiro do Norte to Igede-Ekiti?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5008.8, + "via_waypoint_km": 29979.1, + "detour_km": 24970.3, + "detour_percent": 498.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tabuleiro do Norte", + " End: Igede-Ekiti", + " Waypoint: Elwood", + "Step 2: Calculate direct distance", + " Start → End: 5008.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 29979.1 km", + "Step 4: Calculate detour", + " Detour = 29979.1 - 5008.8 = 24970.3 km", + " Detour % = (24970.3 / 5008.8) × 100 = 498.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 498.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 8.76667, + "lon": -8.61667, + "name": "Moussadou" + }, + "end": { + "lat": -6.33833, + "lon": -47.39917, + "name": "Porto Franco" + }, + "waypoint": { + "lat": 51.56387, + "lon": 0.50859, + "name": "Pitsea" + }, + "question": "Is Pitsea approximately on the direct path from Moussadou to Porto Franco?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4615.3, + "via_waypoint_km": 12711.9, + "detour_km": 8096.7, + "detour_percent": 175.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Moussadou", + " End: Porto Franco", + " Waypoint: Pitsea", + "Step 2: Calculate direct distance", + " Start → End: 4615.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12711.9 km", + "Step 4: Calculate detour", + " Detour = 12711.9 - 4615.3 = 8096.7 km", + " Detour % = (8096.7 / 4615.3) × 100 = 175.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 175.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 25.2617, + "lon": 51.39684, + "name": "Mu‘aydhir Rawḑat Rāshid" + }, + "end": { + "lat": 7.66638, + "lon": -76.68106, + "name": "Chigorodó" + }, + "waypoint": { + "lat": -26.93139, + "lon": -48.95889, + "name": "Gaspar" + }, + "question": "Is Gaspar approximately on the direct path from Mu‘aydhir Rawḑat Rāshid to Chigorodó?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13312.8, + "via_waypoint_km": 17076.3, + "detour_km": 3763.5, + "detour_percent": 28.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mu‘aydhir Rawḑat Rāshid", + " End: Chigorodó", + " Waypoint: Gaspar", + "Step 2: Calculate direct distance", + " Start → End: 13312.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17076.3 km", + "Step 4: Calculate detour", + " Detour = 17076.3 - 13312.8 = 3763.5 km", + " Detour % = (3763.5 / 13312.8) × 100 = 28.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 28.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 31.17419, + "lon": 31.2218, + "name": "Biyalā" + }, + "end": { + "lat": -18.20476, + "lon": 28.9349, + "name": "Gokwe" + }, + "waypoint": { + "lat": 45.1, + "lon": 24.36667, + "name": "Râmnicu Vâlcea" + }, + "question": "Is Râmnicu Vâlcea approximately on the direct path from Biyalā to Gokwe?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5496.1, + "via_waypoint_km": 8713.3, + "detour_km": 3217.1, + "detour_percent": 58.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Biyalā", + " End: Gokwe", + " Waypoint: Râmnicu Vâlcea", + "Step 2: Calculate direct distance", + " Start → End: 5496.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 8713.3 km", + "Step 4: Calculate detour", + " Detour = 8713.3 - 5496.1 = 3217.1 km", + " Detour % = (3217.1 / 5496.1) × 100 = 58.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 58.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 56.10921, + "lon": 94.58698, + "name": "Zelenogorsk" + }, + "end": { + "lat": 40.71667, + "lon": 19.56667, + "name": "Fier-Çifçi" + }, + "waypoint": { + "lat": 21.75482, + "lon": 70.62347, + "name": "Jetpur" + }, + "question": "Is Jetpur approximately on the direct path from Zelenogorsk to Fier-Çifçi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5493.4, + "via_waypoint_km": 9504.8, + "detour_km": 4011.4, + "detour_percent": 73.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Zelenogorsk", + " End: Fier-Çifçi", + " Waypoint: Jetpur", + "Step 2: Calculate direct distance", + " Start → End: 5493.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9504.8 km", + "Step 4: Calculate detour", + " Detour = 9504.8 - 5493.4 = 4011.4 km", + " Detour % = (4011.4 / 5493.4) × 100 = 73.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 73.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 33.8455, + "lon": 10.11423, + "name": "Teboulbou" + }, + "end": { + "lat": 12.40592, + "lon": 4.64605, + "name": "Tambuwal" + }, + "waypoint": { + "lat": 8.30746, + "lon": 77.15205, + "name": "Methukummal" + }, + "question": "Is Methukummal approximately on the direct path from Teboulbou to Tambuwal?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2447.5, + "via_waypoint_km": 15300.1, + "detour_km": 12852.6, + "detour_percent": 525.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Teboulbou", + " End: Tambuwal", + " Waypoint: Methukummal", + "Step 2: Calculate direct distance", + " Start → End: 2447.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15300.1 km", + "Step 4: Calculate detour", + " Detour = 15300.1 - 2447.5 = 12852.6 km", + " Detour % = (12852.6 / 2447.5) × 100 = 525.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 525.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -26.10583, + "lon": -49.7975, + "name": "Rio Negro" + }, + "end": { + "lat": -31.42497, + "lon": -62.08404, + "name": "San Francisco" + }, + "waypoint": { + "lat": 11.27271, + "lon": 76.22571, + "name": "Nilambūr" + }, + "question": "Is Nilambūr approximately on the direct path from Rio Negro to San Francisco?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1334.5, + "via_waypoint_km": 29330.5, + "detour_km": 27996.0, + "detour_percent": 2097.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Rio Negro", + " End: San Francisco", + " Waypoint: Nilambūr", + "Step 2: Calculate direct distance", + " Start → End: 1334.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 29330.5 km", + "Step 4: Calculate detour", + " Detour = 29330.5 - 1334.5 = 27996.0 km", + " Detour % = (27996.0 / 1334.5) × 100 = 2097.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2097.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 52.48419, + "lon": 13.53185, + "name": "Karlshorst" + }, + "end": { + "lat": -27.48315, + "lon": -55.82924, + "name": "Garupá" + }, + "waypoint": { + "lat": 10.75773, + "lon": -74.75451, + "name": "Santo Tomás" + }, + "question": "Is Santo Tomás approximately on the direct path from Karlshorst to Garupá?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11132.2, + "via_waypoint_km": 13661.5, + "detour_km": 2529.3, + "detour_percent": 22.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Karlshorst", + " End: Garupá", + " Waypoint: Santo Tomás", + "Step 2: Calculate direct distance", + " Start → End: 11132.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13661.5 km", + "Step 4: Calculate detour", + " Detour = 13661.5 - 11132.2 = 2529.3 km", + " Detour % = (2529.3 / 11132.2) × 100 = 22.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 22.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 24.51333, + "lon": 117.65556, + "name": "Zhangzhou" + }, + "end": { + "lat": 26.02527, + "lon": 100.06771, + "name": "Yousuo" + }, + "waypoint": { + "lat": 51.12416, + "lon": 12.49639, + "name": "Borna" + }, + "question": "Is Borna approximately on the direct path from Zhangzhou to Yousuo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1775.2, + "via_waypoint_km": 16519.3, + "detour_km": 14744.1, + "detour_percent": 830.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Zhangzhou", + " End: Yousuo", + " Waypoint: Borna", + "Step 2: Calculate direct distance", + " Start → End: 1775.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16519.3 km", + "Step 4: Calculate detour", + " Detour = 16519.3 - 1775.2 = 14744.1 km", + " Detour % = (14744.1 / 1775.2) × 100 = 830.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 830.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -38.18333, + "lon": 145.08333, + "name": "Mount Eliza" + }, + "end": { + "lat": 34.7304, + "lon": -86.58594, + "name": "Huntsville" + }, + "waypoint": { + "lat": 55.50591, + "lon": 9.73054, + "name": "Middelfart" + }, + "question": "Is Middelfart approximately on the direct path from Mount Eliza to Huntsville?", + "ground_truth": { + "answer": false, + "direct_distance_km": 15437.9, + "via_waypoint_km": 23459.9, + "detour_km": 8022.0, + "detour_percent": 52.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mount Eliza", + " End: Huntsville", + " Waypoint: Middelfart", + "Step 2: Calculate direct distance", + " Start → End: 15437.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23459.9 km", + "Step 4: Calculate detour", + " Detour = 23459.9 - 15437.9 = 8022.0 km", + " Detour % = (8022.0 / 15437.9) × 100 = 52.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 52.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 35.41808, + "lon": 10.99475, + "name": "Ksour Essaf" + }, + "end": { + "lat": 20.98812, + "lon": -77.42598, + "name": "Colombia" + }, + "waypoint": { + "lat": 13.7085, + "lon": 100.52619, + "name": "Sathon" + }, + "question": "Is Sathon approximately on the direct path from Ksour Essaf to Colombia?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8538.5, + "via_waypoint_km": 25238.6, + "detour_km": 16700.1, + "detour_percent": 195.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ksour Essaf", + " End: Colombia", + " Waypoint: Sathon", + "Step 2: Calculate direct distance", + " Start → End: 8538.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25238.6 km", + "Step 4: Calculate detour", + " Detour = 25238.6 - 8538.5 = 16700.1 km", + " Detour % = (16700.1 / 8538.5) × 100 = 195.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 195.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -28.78389, + "lon": -51.61, + "name": "Nova Prata" + }, + "end": { + "lat": -23.485, + "lon": -51.79167, + "name": "Marialva" + }, + "waypoint": { + "lat": 31.18248, + "lon": 35.69999, + "name": "Qīr Moāv" + }, + "question": "Is Qīr Moāv approximately on the direct path from Nova Prata to Marialva?", + "ground_truth": { + "answer": false, + "direct_distance_km": 589.5, + "via_waypoint_km": 22491.1, + "detour_km": 21901.6, + "detour_percent": 3715.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Nova Prata", + " End: Marialva", + " Waypoint: Qīr Moāv", + "Step 2: Calculate direct distance", + " Start → End: 589.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22491.1 km", + "Step 4: Calculate detour", + " Detour = 22491.1 - 589.5 = 21901.6 km", + " Detour % = (21901.6 / 589.5) × 100 = 3715.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 3715.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 7.16008, + "lon": -6.30642, + "name": "Bédiala" + }, + "end": { + "lat": 48.93707, + "lon": 21.91625, + "name": "Humenné" + }, + "waypoint": { + "lat": 28.72655, + "lon": 77.06689, + "name": "Begampur" + }, + "question": "Is Begampur approximately on the direct path from Bédiala to Humenné?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5344.8, + "via_waypoint_km": 14124.2, + "detour_km": 8779.4, + "detour_percent": 164.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bédiala", + " End: Humenné", + " Waypoint: Begampur", + "Step 2: Calculate direct distance", + " Start → End: 5344.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14124.2 km", + "Step 4: Calculate detour", + " Detour = 14124.2 - 5344.8 = 8779.4 km", + " Detour % = (8779.4 / 5344.8) × 100 = 164.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 164.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -22.95833, + "lon": -45.54944, + "name": "Tremembé" + }, + "end": { + "lat": -21.04222, + "lon": -41.97333, + "name": "Natividade" + }, + "waypoint": { + "lat": -1.20736, + "lon": -46.0236, + "name": "Carutapera" + }, + "question": "Is Carutapera approximately on the direct path from Tremembé to Natividade?", + "ground_truth": { + "answer": false, + "direct_distance_km": 425.8, + "via_waypoint_km": 4668.0, + "detour_km": 4242.2, + "detour_percent": 996.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tremembé", + " End: Natividade", + " Waypoint: Carutapera", + "Step 2: Calculate direct distance", + " Start → End: 425.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 4668.0 km", + "Step 4: Calculate detour", + " Detour = 4668.0 - 425.8 = 4242.2 km", + " Detour % = (4242.2 / 425.8) × 100 = 996.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 996.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 0.9592, + "lon": -79.65397, + "name": "Esmeraldas" + }, + "end": { + "lat": -33.92893, + "lon": 151.05111, + "name": "Punchbowl" + }, + "waypoint": { + "lat": 51.55518, + "lon": -0.40867, + "name": "South Ruislip" + }, + "question": "Is South Ruislip approximately on the direct path from Esmeraldas to Punchbowl?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13602.1, + "via_waypoint_km": 26186.4, + "detour_km": 12584.3, + "detour_percent": 92.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Esmeraldas", + " End: Punchbowl", + " Waypoint: South Ruislip", + "Step 2: Calculate direct distance", + " Start → End: 13602.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26186.4 km", + "Step 4: Calculate detour", + " Detour = 26186.4 - 13602.1 = 12584.3 km", + " Detour % = (12584.3 / 13602.1) × 100 = 92.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 92.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 37.63049, + "lon": -122.41108, + "name": "San Bruno" + }, + "end": { + "lat": -37.0182, + "lon": 174.88019, + "name": "Manurewa" + }, + "waypoint": { + "lat": 10.02588, + "lon": -69.24166, + "name": "Los Rastrojos" + }, + "question": "Is Los Rastrojos approximately on the direct path from San Bruno to Manurewa?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10502.9, + "via_waypoint_km": 19081.0, + "detour_km": 8578.1, + "detour_percent": 81.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: San Bruno", + " End: Manurewa", + " Waypoint: Los Rastrojos", + "Step 2: Calculate direct distance", + " Start → End: 10502.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19081.0 km", + "Step 4: Calculate detour", + " Detour = 19081.0 - 10502.9 = 8578.1 km", + " Detour % = (8578.1 / 10502.9) × 100 = 81.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 81.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 21.25817, + "lon": -78.14979, + "name": "Vertientes" + }, + "end": { + "lat": 49.3856, + "lon": 11.3573, + "name": "Altdorf bei Nürnberg" + }, + "waypoint": { + "lat": -4.3432, + "lon": 152.26867, + "name": "Kokopo" + }, + "question": "Is Kokopo approximately on the direct path from Vertientes to Altdorf bei Nürnberg?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8196.5, + "via_waypoint_km": 28069.0, + "detour_km": 19872.5, + "detour_percent": 242.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Vertientes", + " End: Altdorf bei Nürnberg", + " Waypoint: Kokopo", + "Step 2: Calculate direct distance", + " Start → End: 8196.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 28069.0 km", + "Step 4: Calculate detour", + " Detour = 28069.0 - 8196.5 = 19872.5 km", + " Detour % = (19872.5 / 8196.5) × 100 = 242.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 242.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 14.43563, + "lon": -91.22685, + "name": "Santa Bárbara" + }, + "end": { + "lat": 19.10446, + "lon": -99.5898, + "name": "Tenango de Arista" + }, + "waypoint": { + "lat": -20.60361, + "lon": -41.18472, + "name": "Castelo" + }, + "question": "Is Castelo approximately on the direct path from Santa Bárbara to Tenango de Arista?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1030.3, + "via_waypoint_km": 14454.1, + "detour_km": 13423.8, + "detour_percent": 1302.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Santa Bárbara", + " End: Tenango de Arista", + " Waypoint: Castelo", + "Step 2: Calculate direct distance", + " Start → End: 1030.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14454.1 km", + "Step 4: Calculate detour", + " Detour = 14454.1 - 1030.3 = 13423.8 km", + " Detour % = (13423.8 / 1030.3) × 100 = 1302.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1302.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.72506, + "lon": 10.23499, + "name": "Boumhel El Bassatine" + }, + "end": { + "lat": 26.69981, + "lon": 31.60464, + "name": "Al Marāghah" + }, + "waypoint": { + "lat": 29.83573, + "lon": 74.9717, + "name": "Kālānwāli" + }, + "question": "Is Kālānwāli approximately on the direct path from Boumhel El Bassatine to Al Marāghah?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2300.7, + "via_waypoint_km": 10190.4, + "detour_km": 7889.7, + "detour_percent": 342.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Boumhel El Bassatine", + " End: Al Marāghah", + " Waypoint: Kālānwāli", + "Step 2: Calculate direct distance", + " Start → End: 2300.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10190.4 km", + "Step 4: Calculate detour", + " Detour = 10190.4 - 2300.7 = 7889.7 km", + " Detour % = (7889.7 / 2300.7) × 100 = 342.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 342.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 39.36415, + "lon": -74.42306, + "name": "Atlantic City" + }, + "end": { + "lat": 33.84661, + "lon": 130.62963, + "name": "Yurigaoka" + }, + "waypoint": { + "lat": 34.43278, + "lon": 117.44194, + "name": "Jiawang" + }, + "question": "Is Jiawang approximately on the direct path from Atlantic City to Yurigaoka?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11475.9, + "via_waypoint_km": 12933.6, + "detour_km": 1457.7, + "detour_percent": 12.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Atlantic City", + " End: Yurigaoka", + " Waypoint: Jiawang", + "Step 2: Calculate direct distance", + " Start → End: 11475.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12933.6 km", + "Step 4: Calculate detour", + " Detour = 12933.6 - 11475.9 = 1457.7 km", + " Detour % = (1457.7 / 11475.9) × 100 = 12.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 12.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.6275, + "lon": 5.075, + "name": "Loon op Zand" + }, + "end": { + "lat": 11.74697, + "lon": 11.96083, + "name": "Damaturu" + }, + "waypoint": { + "lat": 6.24585, + "lon": 46.2247, + "name": "Cabudwaaq" + }, + "question": "Is Cabudwaaq approximately on the direct path from Loon op Zand to Damaturu?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4477.9, + "via_waypoint_km": 10107.2, + "detour_km": 5629.3, + "detour_percent": 125.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Loon op Zand", + " End: Damaturu", + " Waypoint: Cabudwaaq", + "Step 2: Calculate direct distance", + " Start → End: 4477.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10107.2 km", + "Step 4: Calculate detour", + " Detour = 10107.2 - 4477.9 = 5629.3 km", + " Detour % = (5629.3 / 4477.9) × 100 = 125.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 125.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 44.76306, + "lon": -85.62063, + "name": "Traverse City" + }, + "end": { + "lat": 14.58882, + "lon": -91.45188, + "name": "San Pablo Jocopilas" + }, + "waypoint": { + "lat": 41.8542, + "lon": -87.66561, + "name": "Lower West Side" + }, + "question": "Is Lower West Side approximately on the direct path from Traverse City to San Pablo Jocopilas?", + "ground_truth": { + "answer": true, + "direct_distance_km": 3400.0, + "via_waypoint_km": 3416.9, + "detour_km": 16.8, + "detour_percent": 0.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Traverse City", + " End: San Pablo Jocopilas", + " Waypoint: Lower West Side", + "Step 2: Calculate direct distance", + " Start → End: 3400.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 3416.9 km", + "Step 4: Calculate detour", + " Detour = 3416.9 - 3400.0 = 16.8 km", + " Detour % = (16.8 / 3400.0) × 100 = 0.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.5% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 15.15846, + "lon": -12.1843, + "name": "Sélibaby" + }, + "end": { + "lat": 10.02798, + "lon": 39.8528, + "name": "Kobo" + }, + "waypoint": { + "lat": 40.16557, + "lon": 44.29462, + "name": "Vagharshapat" + }, + "question": "Is Vagharshapat approximately on the direct path from Sélibaby to Kobo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5663.6, + "via_waypoint_km": 9476.6, + "detour_km": 3813.0, + "detour_percent": 67.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sélibaby", + " End: Kobo", + " Waypoint: Vagharshapat", + "Step 2: Calculate direct distance", + " Start → End: 5663.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9476.6 km", + "Step 4: Calculate detour", + " Detour = 9476.6 - 5663.6 = 3813.0 km", + " Detour % = (3813.0 / 5663.6) × 100 = 67.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 67.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 3.1868, + "lon": 101.65085, + "name": "Taman Sri Sinar" + }, + "end": { + "lat": -11.01026, + "lon": -66.05257, + "name": "Riberalta" + }, + "waypoint": { + "lat": -38.03333, + "lon": 145.35, + "name": "Berwick" + }, + "question": "Is Berwick approximately on the direct path from Taman Sri Sinar to Riberalta?", + "ground_truth": { + "answer": true, + "direct_distance_km": 18404.3, + "via_waypoint_km": 20074.9, + "detour_km": 1670.6, + "detour_percent": 9.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Taman Sri Sinar", + " End: Riberalta", + " Waypoint: Berwick", + "Step 2: Calculate direct distance", + " Start → End: 18404.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20074.9 km", + "Step 4: Calculate detour", + " Detour = 20074.9 - 18404.3 = 1670.6 km", + " Detour % = (1670.6 / 18404.3) × 100 = 9.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 9.1% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -30.64966, + "lon": 24.0123, + "name": "De Aar" + }, + "end": { + "lat": 42.55528, + "lon": 20.76333, + "name": "Llazicë" + }, + "waypoint": { + "lat": 29.20936, + "lon": 106.14428, + "name": "Youxi" + }, + "question": "Is Youxi approximately on the direct path from De Aar to Llazicë?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8146.8, + "via_waypoint_km": 18452.6, + "detour_km": 10305.8, + "detour_percent": 126.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: De Aar", + " End: Llazicë", + " Waypoint: Youxi", + "Step 2: Calculate direct distance", + " Start → End: 8146.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18452.6 km", + "Step 4: Calculate detour", + " Detour = 18452.6 - 8146.8 = 10305.8 km", + " Detour % = (10305.8 / 8146.8) × 100 = 126.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 126.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -0.16, + "lon": -49.98833, + "name": "Chaves" + }, + "end": { + "lat": 48.19001, + "lon": 17.72747, + "name": "Galanta" + }, + "waypoint": { + "lat": 12.82506, + "lon": -1.06737, + "name": "Korsimoro" + }, + "question": "Is Korsimoro approximately on the direct path from Chaves to Galanta?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8393.0, + "via_waypoint_km": 9881.5, + "detour_km": 1488.5, + "detour_percent": 17.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Chaves", + " End: Galanta", + " Waypoint: Korsimoro", + "Step 2: Calculate direct distance", + " Start → End: 8393.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9881.5 km", + "Step 4: Calculate detour", + " Detour = 9881.5 - 8393.0 = 1488.5 km", + " Detour % = (1488.5 / 8393.0) × 100 = 17.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 17.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -23.27583, + "lon": -51.27833, + "name": "Cambé" + }, + "end": { + "lat": 10.22746, + "lon": 2.00192, + "name": "Péhonko" + }, + "waypoint": { + "lat": 37.94798, + "lon": -122.0608, + "name": "Pleasant Hill" + }, + "question": "Is Pleasant Hill approximately on the direct path from Cambé to Péhonko?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6887.7, + "via_waypoint_km": 22156.2, + "detour_km": 15268.5, + "detour_percent": 221.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Cambé", + " End: Péhonko", + " Waypoint: Pleasant Hill", + "Step 2: Calculate direct distance", + " Start → End: 6887.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22156.2 km", + "Step 4: Calculate detour", + " Detour = 22156.2 - 6887.7 = 15268.5 km", + " Detour % = (15268.5 / 6887.7) × 100 = 221.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 221.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 47.95, + "lon": 26.4, + "name": "Dorohoi" + }, + "end": { + "lat": -34.5108, + "lon": -58.68059, + "name": "Villa de Mayo" + }, + "waypoint": { + "lat": 1.32639, + "lon": 103.94167, + "name": "Bedok New Town" + }, + "question": "Is Bedok New Town approximately on the direct path from Dorohoi to Villa de Mayo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 12445.4, + "via_waypoint_km": 24881.2, + "detour_km": 12435.8, + "detour_percent": 99.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Dorohoi", + " End: Villa de Mayo", + " Waypoint: Bedok New Town", + "Step 2: Calculate direct distance", + " Start → End: 12445.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24881.2 km", + "Step 4: Calculate detour", + " Detour = 24881.2 - 12445.4 = 12435.8 km", + " Detour % = (12435.8 / 12445.4) × 100 = 99.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 99.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 14.17309, + "lon": -16.84929, + "name": "Joal" + }, + "end": { + "lat": 12.9061, + "lon": 31.2158, + "name": "Umm Ruwaba" + }, + "waypoint": { + "lat": -17.03139, + "lon": -48.29583, + "name": "Orizona" + }, + "question": "Is Orizona approximately on the direct path from Joal to Umm Ruwaba?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5188.9, + "via_waypoint_km": 14236.4, + "detour_km": 9047.5, + "detour_percent": 174.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Joal", + " End: Umm Ruwaba", + " Waypoint: Orizona", + "Step 2: Calculate direct distance", + " Start → End: 5188.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14236.4 km", + "Step 4: Calculate detour", + " Detour = 14236.4 - 5188.9 = 9047.5 km", + " Detour % = (9047.5 / 5188.9) × 100 = 174.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 174.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -1.9, + "lon": 34.01667, + "name": "Nyamuswa" + }, + "end": { + "lat": 35.139, + "lon": -79.00603, + "name": "Fort Bragg" + }, + "waypoint": { + "lat": 24.75361, + "lon": 71.7728, + "name": "Sānchor" + }, + "question": "Is Sānchor approximately on the direct path from Nyamuswa to Fort Bragg?", + "ground_truth": { + "answer": false, + "direct_distance_km": 12209.1, + "via_waypoint_km": 17713.3, + "detour_km": 5504.1, + "detour_percent": 45.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Nyamuswa", + " End: Fort Bragg", + " Waypoint: Sānchor", + "Step 2: Calculate direct distance", + " Start → End: 12209.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17713.3 km", + "Step 4: Calculate detour", + " Detour = 17713.3 - 12209.1 = 5504.1 km", + " Detour % = (5504.1 / 12209.1) × 100 = 45.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 45.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 18.20861, + "lon": -71.10068, + "name": "Santa Cruz de Barahona" + }, + "end": { + "lat": 13.725, + "lon": 100.48511, + "name": "Thon Buri" + }, + "waypoint": { + "lat": 6.13833, + "lon": -75.26417, + "name": "Santuario" + }, + "question": "Is Santuario approximately on the direct path from Santa Cruz de Barahona to Thon Buri?", + "ground_truth": { + "answer": false, + "direct_distance_km": 16346.3, + "via_waypoint_km": 19173.2, + "detour_km": 2826.9, + "detour_percent": 17.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Santa Cruz de Barahona", + " End: Thon Buri", + " Waypoint: Santuario", + "Step 2: Calculate direct distance", + " Start → End: 16346.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19173.2 km", + "Step 4: Calculate detour", + " Detour = 19173.2 - 16346.3 = 2826.9 km", + " Detour % = (2826.9 / 16346.3) × 100 = 17.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 17.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 30.53353, + "lon": -92.08151, + "name": "Opelousas" + }, + "end": { + "lat": 50.27969, + "lon": 57.20718, + "name": "Aktobe" + }, + "waypoint": { + "lat": 21.67124, + "lon": 74.58535, + "name": "Khetia" + }, + "question": "Is Khetia approximately on the direct path from Opelousas to Aktobe?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10533.5, + "via_waypoint_km": 17563.0, + "detour_km": 7029.5, + "detour_percent": 66.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Opelousas", + " End: Aktobe", + " Waypoint: Khetia", + "Step 2: Calculate direct distance", + " Start → End: 10533.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17563.0 km", + "Step 4: Calculate detour", + " Detour = 17563.0 - 10533.5 = 7029.5 km", + " Detour % = (7029.5 / 10533.5) × 100 = 66.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 66.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 14.76181, + "lon": -90.99247, + "name": "Tecpán Guatemala" + }, + "end": { + "lat": 11.99564, + "lon": 75.28717, + "name": "Cherukunnu" + }, + "waypoint": { + "lat": 45.55066, + "lon": 18.6942, + "name": "Osijek" + }, + "question": "Is Osijek approximately on the direct path from Tecpán Guatemala to Cherukunnu?", + "ground_truth": { + "answer": true, + "direct_distance_km": 16678.0, + "via_waypoint_km": 16784.5, + "detour_km": 106.5, + "detour_percent": 0.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tecpán Guatemala", + " End: Cherukunnu", + " Waypoint: Osijek", + "Step 2: Calculate direct distance", + " Start → End: 16678.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16784.5 km", + "Step 4: Calculate detour", + " Detour = 16784.5 - 16678.0 = 106.5 km", + " Detour % = (106.5 / 16678.0) × 100 = 0.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.6% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 5.44783, + "lon": -74.66311, + "name": "La Dorada" + }, + "end": { + "lat": 23.89804, + "lon": 120.58831, + "name": "Shetou" + }, + "waypoint": { + "lat": 14.97066, + "lon": 102.10196, + "name": "Nakhon Ratchasima" + }, + "question": "Is Nakhon Ratchasima approximately on the direct path from La Dorada to Shetou?", + "ground_truth": { + "answer": false, + "direct_distance_km": 16356.8, + "via_waypoint_km": 19891.4, + "detour_km": 3534.6, + "detour_percent": 21.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: La Dorada", + " End: Shetou", + " Waypoint: Nakhon Ratchasima", + "Step 2: Calculate direct distance", + " Start → End: 16356.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19891.4 km", + "Step 4: Calculate detour", + " Detour = 19891.4 - 16356.8 = 3534.6 km", + " Detour % = (3534.6 / 16356.8) × 100 = 21.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 21.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 30.10778, + "lon": 78.29255, + "name": "Rishīkesh" + }, + "end": { + "lat": 35.19869, + "lon": 32.99338, + "name": "Mórfou" + }, + "waypoint": { + "lat": 37.50959, + "lon": 22.37883, + "name": "Trípoli" + }, + "question": "Is Trípoli approximately on the direct path from Rishīkesh to Mórfou?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4242.2, + "via_waypoint_km": 6139.9, + "detour_km": 1897.7, + "detour_percent": 44.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Rishīkesh", + " End: Mórfou", + " Waypoint: Trípoli", + "Step 2: Calculate direct distance", + " Start → End: 4242.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 6139.9 km", + "Step 4: Calculate detour", + " Detour = 6139.9 - 4242.2 = 1897.7 km", + " Detour % = (1897.7 / 4242.2) × 100 = 44.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 44.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 22.2475, + "lon": -97.83665, + "name": "Ciudad Madero" + }, + "end": { + "lat": 35.06544, + "lon": 1.04945, + "name": "Frenda" + }, + "waypoint": { + "lat": -36.8, + "lon": 174.75, + "name": "North Shore" + }, + "question": "Is North Shore approximately on the direct path from Ciudad Madero to Frenda?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9366.2, + "via_waypoint_km": 30663.3, + "detour_km": 21297.1, + "detour_percent": 227.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ciudad Madero", + " End: Frenda", + " Waypoint: North Shore", + "Step 2: Calculate direct distance", + " Start → End: 9366.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 30663.3 km", + "Step 4: Calculate detour", + " Detour = 30663.3 - 9366.2 = 21297.1 km", + " Detour % = (21297.1 / 9366.2) × 100 = 227.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 227.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -36.90694, + "lon": 174.68704, + "name": "New Lynn" + }, + "end": { + "lat": 47.18594, + "lon": 19.31091, + "name": "Dabas" + }, + "waypoint": { + "lat": 40.29414, + "lon": 70.43122, + "name": "Konibodom" + }, + "question": "Is Konibodom approximately on the direct path from New Lynn to Dabas?", + "ground_truth": { + "answer": true, + "direct_distance_km": 17697.0, + "via_waypoint_km": 17732.9, + "detour_km": 35.9, + "detour_percent": 0.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: New Lynn", + " End: Dabas", + " Waypoint: Konibodom", + "Step 2: Calculate direct distance", + " Start → End: 17697.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17732.9 km", + "Step 4: Calculate detour", + " Detour = 17732.9 - 17697.0 = 35.9 km", + " Detour % = (35.9 / 17697.0) × 100 = 0.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.2% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 13.09546, + "lon": 109.32094, + "name": "Tuy Hòa" + }, + "end": { + "lat": 11.36523, + "lon": 77.76235, + "name": "Pallipalayam" + }, + "waypoint": { + "lat": 16.68317, + "lon": 74.58892, + "name": "Kurandvād" + }, + "question": "Is Kurandvād approximately on the direct path from Tuy Hòa to Pallipalayam?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3432.8, + "via_waypoint_km": 4432.2, + "detour_km": 999.4, + "detour_percent": 29.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tuy Hòa", + " End: Pallipalayam", + " Waypoint: Kurandvād", + "Step 2: Calculate direct distance", + " Start → End: 3432.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 4432.2 km", + "Step 4: Calculate detour", + " Detour = 4432.2 - 3432.8 = 999.4 km", + " Detour % = (999.4 / 3432.8) × 100 = 29.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 29.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 41.23506, + "lon": 1.81193, + "name": "Sitges" + }, + "end": { + "lat": 17.74058, + "lon": -91.76635, + "name": "Emiliano Zapata" + }, + "waypoint": { + "lat": 34.27834, + "lon": -119.29317, + "name": "Ventura" + }, + "question": "Is Ventura approximately on the direct path from Sitges to Emiliano Zapata?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9008.7, + "via_waypoint_km": 12978.3, + "detour_km": 3969.6, + "detour_percent": 44.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sitges", + " End: Emiliano Zapata", + " Waypoint: Ventura", + "Step 2: Calculate direct distance", + " Start → End: 9008.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12978.3 km", + "Step 4: Calculate detour", + " Detour = 12978.3 - 9008.7 = 3969.6 km", + " Detour % = (3969.6 / 9008.7) × 100 = 44.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 44.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 13.69196, + "lon": 100.40691, + "name": "Bang Khae" + }, + "end": { + "lat": 55.78647, + "lon": 38.45713, + "name": "Elektrostal’" + }, + "waypoint": { + "lat": -3.85, + "lon": 35.53333, + "name": "Mbulu" + }, + "question": "Is Mbulu approximately on the direct path from Bang Khae to Elektrostal’?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7015.0, + "via_waypoint_km": 14052.1, + "detour_km": 7037.1, + "detour_percent": 100.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bang Khae", + " End: Elektrostal’", + " Waypoint: Mbulu", + "Step 2: Calculate direct distance", + " Start → End: 7015.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14052.1 km", + "Step 4: Calculate detour", + " Detour = 14052.1 - 7015.0 = 7037.1 km", + " Detour % = (7037.1 / 7015.0) × 100 = 100.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 100.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -19.57328, + "lon": 18.1003, + "name": "Grootfontein" + }, + "end": { + "lat": 45.95689, + "lon": 12.66051, + "name": "Pordenone" + }, + "waypoint": { + "lat": 34.07034, + "lon": 72.62147, + "name": "Topi" + }, + "question": "Is Topi approximately on the direct path from Grootfontein to Pordenone?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7307.3, + "via_waypoint_km": 13444.3, + "detour_km": 6137.1, + "detour_percent": 84.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Grootfontein", + " End: Pordenone", + " Waypoint: Topi", + "Step 2: Calculate direct distance", + " Start → End: 7307.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13444.3 km", + "Step 4: Calculate detour", + " Detour = 13444.3 - 7307.3 = 6137.1 km", + " Detour % = (6137.1 / 7307.3) × 100 = 84.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 84.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -9.25, + "lon": 33.65, + "name": "Tukuyu" + }, + "end": { + "lat": 39.97975, + "lon": 41.66997, + "name": "Pasinler" + }, + "waypoint": { + "lat": -37.78828, + "lon": 145.12373, + "name": "Doncaster" + }, + "question": "Is Doncaster approximately on the direct path from Tukuyu to Pasinler?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5536.1, + "via_waypoint_km": 24807.2, + "detour_km": 19271.1, + "detour_percent": 348.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tukuyu", + " End: Pasinler", + " Waypoint: Doncaster", + "Step 2: Calculate direct distance", + " Start → End: 5536.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24807.2 km", + "Step 4: Calculate detour", + " Detour = 24807.2 - 5536.1 = 19271.1 km", + " Detour % = (19271.1 / 5536.1) × 100 = 348.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 348.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 25.58333, + "lon": 83.58526, + "name": "Ghazīpur" + }, + "end": { + "lat": 45.14603, + "lon": 5.71441, + "name": "Échirolles" + }, + "waypoint": { + "lat": 12.6, + "lon": 37.46667, + "name": "Gonder" + }, + "question": "Is Gonder approximately on the direct path from Ghazīpur to Échirolles?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7106.4, + "via_waypoint_km": 9729.2, + "detour_km": 2622.7, + "detour_percent": 36.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ghazīpur", + " End: Échirolles", + " Waypoint: Gonder", + "Step 2: Calculate direct distance", + " Start → End: 7106.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9729.2 km", + "Step 4: Calculate detour", + " Detour = 9729.2 - 7106.4 = 2622.7 km", + " Detour % = (2622.7 / 7106.4) × 100 = 36.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 36.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 28.69919, + "lon": 30.7673, + "name": "Al ‘Idwah" + }, + "end": { + "lat": 8.30306, + "lon": 30.14056, + "name": "Leer" + }, + "waypoint": { + "lat": 53.42519, + "lon": -2.32443, + "name": "Sale" + }, + "question": "Is Sale approximately on the direct path from Al ‘Idwah to Leer?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2268.9, + "via_waypoint_km": 9642.8, + "detour_km": 7373.9, + "detour_percent": 325.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Al ‘Idwah", + " End: Leer", + " Waypoint: Sale", + "Step 2: Calculate direct distance", + " Start → End: 2268.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9642.8 km", + "Step 4: Calculate detour", + " Detour = 9642.8 - 2268.9 = 7373.9 km", + " Detour % = (7373.9 / 2268.9) × 100 = 325.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 325.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -28.45917, + "lon": -52.82083, + "name": "Não-Me-Toque" + }, + "end": { + "lat": 29.82739, + "lon": 106.43645, + "name": "Beibei" + }, + "waypoint": { + "lat": 47.43674, + "lon": 19.10093, + "name": "Budapest XX. kerület" + }, + "question": "Is Budapest XX. kerület approximately on the direct path from Não-Me-Toque to Beibei?", + "ground_truth": { + "answer": true, + "direct_distance_km": 17997.6, + "via_waypoint_km": 18503.0, + "detour_km": 505.4, + "detour_percent": 2.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Não-Me-Toque", + " End: Beibei", + " Waypoint: Budapest XX. kerület", + "Step 2: Calculate direct distance", + " Start → End: 17997.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18503.0 km", + "Step 4: Calculate detour", + " Detour = 18503.0 - 17997.6 = 505.4 km", + " Detour % = (505.4 / 17997.6) × 100 = 2.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2.8% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 25.06615, + "lon": 121.65985, + "name": "Xizhi" + }, + "end": { + "lat": -17.35, + "lon": 49.03333, + "name": "Vohibinany" + }, + "waypoint": { + "lat": -7.79139, + "lon": -79.22167, + "name": "Chocope" + }, + "question": "Is Chocope approximately on the direct path from Xizhi to Vohibinany?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9165.2, + "via_waypoint_km": 30763.4, + "detour_km": 21598.2, + "detour_percent": 235.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Xizhi", + " End: Vohibinany", + " Waypoint: Chocope", + "Step 2: Calculate direct distance", + " Start → End: 9165.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 30763.4 km", + "Step 4: Calculate detour", + " Detour = 30763.4 - 9165.2 = 21598.2 km", + " Detour % = (21598.2 / 9165.2) × 100 = 235.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 235.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.29867, + "lon": -83.06797, + "name": "Delaware" + }, + "end": { + "lat": -8.87167, + "lon": -49.71278, + "name": "Santa Maria das Barreiras" + }, + "waypoint": { + "lat": 23.03845, + "lon": 116.28988, + "name": "Huicheng" + }, + "question": "Is Huicheng approximately on the direct path from Delaware to Santa Maria das Barreiras?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6451.1, + "via_waypoint_km": 30538.2, + "detour_km": 24087.2, + "detour_percent": 373.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Delaware", + " End: Santa Maria das Barreiras", + " Waypoint: Huicheng", + "Step 2: Calculate direct distance", + " Start → End: 6451.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 30538.2 km", + "Step 4: Calculate detour", + " Detour = 30538.2 - 6451.1 = 24087.2 km", + " Detour % = (24087.2 / 6451.1) × 100 = 373.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 373.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 49.351, + "lon": 23.5174, + "name": "Drohobych" + }, + "end": { + "lat": -26.16139, + "lon": -51.5525, + "name": "Bituruna" + }, + "waypoint": { + "lat": 27.5, + "lon": 83.45, + "name": "Siddharthanagar" + }, + "question": "Is Siddharthanagar approximately on the direct path from Drohobych to Bituruna?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11185.7, + "via_waypoint_km": 21156.7, + "detour_km": 9971.0, + "detour_percent": 89.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Drohobych", + " End: Bituruna", + " Waypoint: Siddharthanagar", + "Step 2: Calculate direct distance", + " Start → End: 11185.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21156.7 km", + "Step 4: Calculate detour", + " Detour = 21156.7 - 11185.7 = 9971.0 km", + " Detour % = (9971.0 / 11185.7) × 100 = 89.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 89.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 39.43705, + "lon": -0.46546, + "name": "Torrent" + }, + "end": { + "lat": -23.71194, + "lon": -47.42778, + "name": "Piedade" + }, + "waypoint": { + "lat": 22.0, + "lon": 103.13333, + "name": "Mường Lay" + }, + "question": "Is Mường Lay approximately on the direct path from Torrent to Piedade?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8547.7, + "via_waypoint_km": 26561.7, + "detour_km": 18014.1, + "detour_percent": 210.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Torrent", + " End: Piedade", + " Waypoint: Mường Lay", + "Step 2: Calculate direct distance", + " Start → End: 8547.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26561.7 km", + "Step 4: Calculate detour", + " Detour = 26561.7 - 8547.7 = 18014.1 km", + " Detour % = (18014.1 / 8547.7) × 100 = 210.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 210.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -6.70111, + "lon": -79.90611, + "name": "Lambayeque" + }, + "end": { + "lat": -19.11333, + "lon": -51.73417, + "name": "Cassilândia" + }, + "waypoint": { + "lat": 47.42977, + "lon": 19.21592, + "name": "Pestlőrinc" + }, + "question": "Is Pestlőrinc approximately on the direct path from Lambayeque to Cassilândia?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3343.1, + "via_waypoint_km": 21456.1, + "detour_km": 18113.0, + "detour_percent": 541.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Lambayeque", + " End: Cassilândia", + " Waypoint: Pestlőrinc", + "Step 2: Calculate direct distance", + " Start → End: 3343.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21456.1 km", + "Step 4: Calculate detour", + " Detour = 21456.1 - 3343.1 = 18113.0 km", + " Detour % = (18113.0 / 3343.1) × 100 = 541.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 541.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 9.08569, + "lon": 40.86708, + "name": "Āsbe Teferī" + }, + "end": { + "lat": 51.09802, + "lon": 5.78379, + "name": "Maaseik" + }, + "waypoint": { + "lat": 22.46756, + "lon": 69.07002, + "name": "Okha" + }, + "question": "Is Okha approximately on the direct path from Āsbe Teferī to Maaseik?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5662.6, + "via_waypoint_km": 9589.0, + "detour_km": 3926.4, + "detour_percent": 69.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Āsbe Teferī", + " End: Maaseik", + " Waypoint: Okha", + "Step 2: Calculate direct distance", + " Start → End: 5662.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9589.0 km", + "Step 4: Calculate detour", + " Detour = 9589.0 - 5662.6 = 3926.4 km", + " Detour % = (3926.4 / 5662.6) × 100 = 69.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 69.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 33.51667, + "lon": 6.95, + "name": "Debila" + }, + "end": { + "lat": -0.75, + "lon": -48.02, + "name": "São Caetano de Odivelas" + }, + "waypoint": { + "lat": 40.65642, + "lon": 17.70814, + "name": "San Vito dei Normanni" + }, + "question": "Is San Vito dei Normanni approximately on the direct path from Debila to São Caetano de Odivelas?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6880.9, + "via_waypoint_km": 9284.0, + "detour_km": 2403.1, + "detour_percent": 34.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Debila", + " End: São Caetano de Odivelas", + " Waypoint: San Vito dei Normanni", + "Step 2: Calculate direct distance", + " Start → End: 6880.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9284.0 km", + "Step 4: Calculate detour", + " Detour = 9284.0 - 6880.9 = 2403.1 km", + " Detour % = (2403.1 / 6880.9) × 100 = 34.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 34.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 39.10638, + "lon": 27.66925, + "name": "Kırkağaç" + }, + "end": { + "lat": 53.59782, + "lon": 34.33825, + "name": "Dyat’kovo" + }, + "waypoint": { + "lat": 55.87006, + "lon": 38.19318, + "name": "Losino-Petrovskiy" + }, + "question": "Is Losino-Petrovskiy approximately on the direct path from Kırkağaç to Dyat’kovo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1688.9, + "via_waypoint_km": 2373.1, + "detour_km": 684.2, + "detour_percent": 40.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kırkağaç", + " End: Dyat’kovo", + " Waypoint: Losino-Petrovskiy", + "Step 2: Calculate direct distance", + " Start → End: 1688.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 2373.1 km", + "Step 4: Calculate detour", + " Detour = 2373.1 - 1688.9 = 684.2 km", + " Detour % = (684.2 / 1688.9) × 100 = 40.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 40.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -10.96667, + "lon": 22.9, + "name": "Tshilenge" + }, + "end": { + "lat": 35.91869, + "lon": 74.31245, + "name": "Gilgit" + }, + "waypoint": { + "lat": 36.26954, + "lon": -95.85471, + "name": "Owasso" + }, + "question": "Is Owasso approximately on the direct path from Tshilenge to Gilgit?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7494.6, + "via_waypoint_km": 25218.3, + "detour_km": 17723.7, + "detour_percent": 236.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tshilenge", + " End: Gilgit", + " Waypoint: Owasso", + "Step 2: Calculate direct distance", + " Start → End: 7494.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25218.3 km", + "Step 4: Calculate detour", + " Detour = 25218.3 - 7494.6 = 17723.7 km", + " Detour % = (17723.7 / 7494.6) × 100 = 236.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 236.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -33.63912, + "lon": -70.35318, + "name": "San José de Maipo" + }, + "end": { + "lat": 42.80567, + "lon": -1.67731, + "name": "Barañáin" + }, + "waypoint": { + "lat": 8.68591, + "lon": 77.46592, + "name": "Kallidaikurichi" + }, + "question": "Is Kallidaikurichi approximately on the direct path from San José de Maipo to Barañáin?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10994.6, + "via_waypoint_km": 24178.2, + "detour_km": 13183.6, + "detour_percent": 119.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: San José de Maipo", + " End: Barañáin", + " Waypoint: Kallidaikurichi", + "Step 2: Calculate direct distance", + " Start → End: 10994.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24178.2 km", + "Step 4: Calculate detour", + " Detour = 24178.2 - 10994.6 = 13183.6 km", + " Detour % = (13183.6 / 10994.6) × 100 = 119.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 119.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 26.19247, + "lon": 73.0443, + "name": "Keru" + }, + "end": { + "lat": 42.34211, + "lon": 78.00644, + "name": "Kyzyl-Suu" + }, + "waypoint": { + "lat": -25.39048, + "lon": -51.46541, + "name": "Guarapuava" + }, + "question": "Is Guarapuava approximately on the direct path from Keru to Kyzyl-Suu?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1851.8, + "via_waypoint_km": 29570.5, + "detour_km": 27718.7, + "detour_percent": 1496.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Keru", + " End: Kyzyl-Suu", + " Waypoint: Guarapuava", + "Step 2: Calculate direct distance", + " Start → End: 1851.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 29570.5 km", + "Step 4: Calculate detour", + " Detour = 29570.5 - 1851.8 = 27718.7 km", + " Detour % = (27718.7 / 1851.8) × 100 = 1496.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1496.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 8.45611, + "lon": 125.78417, + "name": "Talacogon" + }, + "end": { + "lat": 2.6931, + "lon": 101.7498, + "name": "Sepang" + }, + "waypoint": { + "lat": -17.82772, + "lon": 31.05337, + "name": "Harare" + }, + "question": "Is Harare approximately on the direct path from Talacogon to Sepang?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2734.7, + "via_waypoint_km": 18857.7, + "detour_km": 16123.0, + "detour_percent": 589.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Talacogon", + " End: Sepang", + " Waypoint: Harare", + "Step 2: Calculate direct distance", + " Start → End: 2734.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18857.7 km", + "Step 4: Calculate detour", + " Detour = 18857.7 - 2734.7 = 16123.0 km", + " Detour % = (16123.0 / 2734.7) × 100 = 589.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 589.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 42.18169, + "lon": -88.33036, + "name": "Lake in the Hills" + }, + "end": { + "lat": 52.53711, + "lon": 31.93659, + "name": "Novozybkov" + }, + "waypoint": { + "lat": -5.9988, + "lon": 23.25386, + "name": "Kabeya-Kamwanga" + }, + "question": "Is Kabeya-Kamwanga approximately on the direct path from Lake in the Hills to Novozybkov?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8027.5, + "via_waypoint_km": 18787.0, + "detour_km": 10759.5, + "detour_percent": 134.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Lake in the Hills", + " End: Novozybkov", + " Waypoint: Kabeya-Kamwanga", + "Step 2: Calculate direct distance", + " Start → End: 8027.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18787.0 km", + "Step 4: Calculate detour", + " Detour = 18787.0 - 8027.5 = 10759.5 km", + " Detour % = (10759.5 / 8027.5) × 100 = 134.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 134.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 15.26667, + "lon": 74.61667, + "name": "Dandeli" + }, + "end": { + "lat": -37.88264, + "lon": 144.7003, + "name": "Hoppers Crossing" + }, + "waypoint": { + "lat": 10.35917, + "lon": 0.47083, + "name": "Mango" + }, + "question": "Is Mango approximately on the direct path from Dandeli to Hoppers Crossing?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9384.2, + "via_waypoint_km": 23340.7, + "detour_km": 13956.5, + "detour_percent": 148.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Dandeli", + " End: Hoppers Crossing", + " Waypoint: Mango", + "Step 2: Calculate direct distance", + " Start → End: 9384.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23340.7 km", + "Step 4: Calculate detour", + " Detour = 23340.7 - 9384.2 = 13956.5 km", + " Detour % = (13956.5 / 9384.2) × 100 = 148.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 148.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 19.06406, + "lon": -98.30352, + "name": "Cholula" + }, + "end": { + "lat": -4.42741, + "lon": 26.66656, + "name": "Kasongo" + }, + "waypoint": { + "lat": -31.43084, + "lon": 152.90894, + "name": "Port Macquarie" + }, + "question": "Is Port Macquarie approximately on the direct path from Cholula to Kasongo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13835.3, + "via_waypoint_km": 25912.0, + "detour_km": 12076.7, + "detour_percent": 87.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Cholula", + " End: Kasongo", + " Waypoint: Port Macquarie", + "Step 2: Calculate direct distance", + " Start → End: 13835.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25912.0 km", + "Step 4: Calculate detour", + " Detour = 25912.0 - 13835.3 = 12076.7 km", + " Detour % = (12076.7 / 13835.3) × 100 = 87.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 87.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.53998, + "lon": -4.62473, + "name": "Fuengirola" + }, + "end": { + "lat": 9.66415, + "lon": -68.58659, + "name": "San Carlos" + }, + "waypoint": { + "lat": 2.18771, + "lon": 22.46827, + "name": "Bumba" + }, + "question": "Is Bumba approximately on the direct path from Fuengirola to San Carlos?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7050.7, + "via_waypoint_km": 14806.1, + "detour_km": 7755.4, + "detour_percent": 110.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Fuengirola", + " End: San Carlos", + " Waypoint: Bumba", + "Step 2: Calculate direct distance", + " Start → End: 7050.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14806.1 km", + "Step 4: Calculate detour", + " Detour = 14806.1 - 7050.7 = 7755.4 km", + " Detour % = (7755.4 / 7050.7) × 100 = 110.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 110.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -23.52355, + "lon": -46.70726, + "name": "Lapa" + }, + "end": { + "lat": -9.22139, + "lon": -37.74861, + "name": "Inhapi" + }, + "waypoint": { + "lat": 42.28819, + "lon": 24.96779, + "name": "Rakovski" + }, + "question": "Is Rakovski approximately on the direct path from Lapa to Inhapi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1853.8, + "via_waypoint_km": 18909.3, + "detour_km": 17055.5, + "detour_percent": 920.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Lapa", + " End: Inhapi", + " Waypoint: Rakovski", + "Step 2: Calculate direct distance", + " Start → End: 1853.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18909.3 km", + "Step 4: Calculate detour", + " Detour = 18909.3 - 1853.8 = 17055.5 km", + " Detour % = (17055.5 / 1853.8) × 100 = 920.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 920.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 6.7, + "lon": 6.33333, + "name": "Uromi" + }, + "end": { + "lat": 26.5733, + "lon": 50.04028, + "name": "Tārūt" + }, + "waypoint": { + "lat": 54.35074, + "lon": 38.26304, + "name": "Venëv" + }, + "question": "Is Venëv approximately on the direct path from Uromi to Tārūt?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5118.2, + "via_waypoint_km": 9253.6, + "detour_km": 4135.4, + "detour_percent": 80.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Uromi", + " End: Tārūt", + " Waypoint: Venëv", + "Step 2: Calculate direct distance", + " Start → End: 5118.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9253.6 km", + "Step 4: Calculate detour", + " Detour = 9253.6 - 5118.2 = 4135.4 km", + " Detour % = (4135.4 / 5118.2) × 100 = 80.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 80.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 18.42745, + "lon": -67.15407, + "name": "Aguadilla" + }, + "end": { + "lat": 19.29377, + "lon": -70.25285, + "name": "San Francisco de Macorís" + }, + "waypoint": { + "lat": 21.2843, + "lon": -157.73706, + "name": "Niu Valley" + }, + "question": "Is Niu Valley approximately on the direct path from Aguadilla to San Francisco de Macorís?", + "ground_truth": { + "answer": false, + "direct_distance_km": 340.0, + "via_waypoint_km": 18325.7, + "detour_km": 17985.8, + "detour_percent": 5290.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Aguadilla", + " End: San Francisco de Macorís", + " Waypoint: Niu Valley", + "Step 2: Calculate direct distance", + " Start → End: 340.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18325.7 km", + "Step 4: Calculate detour", + " Detour = 18325.7 - 340.0 = 17985.8 km", + " Detour % = (17985.8 / 340.0) × 100 = 5290.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 5290.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 49.2818, + "lon": 9.68352, + "name": "Künzelsau" + }, + "end": { + "lat": 0.49194, + "lon": 35.74303, + "name": "Kabarnet" + }, + "waypoint": { + "lat": -15.61778, + "lon": -46.42333, + "name": "Buritis" + }, + "question": "Is Buritis approximately on the direct path from Künzelsau to Kabarnet?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5967.3, + "via_waypoint_km": 18255.9, + "detour_km": 12288.6, + "detour_percent": 205.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Künzelsau", + " End: Kabarnet", + " Waypoint: Buritis", + "Step 2: Calculate direct distance", + " Start → End: 5967.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18255.9 km", + "Step 4: Calculate detour", + " Detour = 18255.9 - 5967.3 = 12288.6 km", + " Detour % = (12288.6 / 5967.3) × 100 = 205.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 205.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.75541, + "lon": 81.60765, + "name": "Arix" + }, + "end": { + "lat": 12.62824, + "lon": 101.43757, + "name": "Ban Phe" + }, + "waypoint": { + "lat": -7.53472, + "lon": -39.11833, + "name": "Porteiras" + }, + "question": "Is Porteiras approximately on the direct path from Arix to Ban Phe?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3332.6, + "via_waypoint_km": 28892.5, + "detour_km": 25559.9, + "detour_percent": 767.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Arix", + " End: Ban Phe", + " Waypoint: Porteiras", + "Step 2: Calculate direct distance", + " Start → End: 3332.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 28892.5 km", + "Step 4: Calculate detour", + " Detour = 28892.5 - 3332.6 = 25559.9 km", + " Detour % = (25559.9 / 3332.6) × 100 = 767.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 767.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 43.85037, + "lon": 81.78308, + "name": "Onyar" + }, + "end": { + "lat": 42.34211, + "lon": 78.00644, + "name": "Kyzyl-Suu" + }, + "waypoint": { + "lat": -33.86667, + "lon": 150.95, + "name": "Fairfield" + }, + "question": "Is Fairfield approximately on the direct path from Onyar to Kyzyl-Suu?", + "ground_truth": { + "answer": false, + "direct_distance_km": 349.5, + "via_waypoint_km": 22376.0, + "detour_km": 22026.5, + "detour_percent": 6303.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Onyar", + " End: Kyzyl-Suu", + " Waypoint: Fairfield", + "Step 2: Calculate direct distance", + " Start → End: 349.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22376.0 km", + "Step 4: Calculate detour", + " Detour = 22376.0 - 349.5 = 22026.5 km", + " Detour % = (22026.5 / 349.5) × 100 = 6303.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 6303.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 9.35029, + "lon": -65.32452, + "name": "Zaraza" + }, + "end": { + "lat": 34.95303, + "lon": -120.43572, + "name": "Santa Maria" + }, + "waypoint": { + "lat": 30.29636, + "lon": 31.74633, + "name": "Al ‘Āshir min Ramaḑān" + }, + "question": "Is Al ‘Āshir min Ramaḑān approximately on the direct path from Zaraza to Santa Maria?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6254.0, + "via_waypoint_km": 22350.2, + "detour_km": 16096.2, + "detour_percent": 257.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Zaraza", + " End: Santa Maria", + " Waypoint: Al ‘Āshir min Ramaḑān", + "Step 2: Calculate direct distance", + " Start → End: 6254.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22350.2 km", + "Step 4: Calculate detour", + " Detour = 22350.2 - 6254.0 = 16096.2 km", + " Detour % = (16096.2 / 6254.0) × 100 = 257.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 257.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 42.03565, + "lon": 0.12686, + "name": "Barbastro" + }, + "end": { + "lat": -26.23656, + "lon": 28.36938, + "name": "Brakpan" + }, + "waypoint": { + "lat": 35.2431, + "lon": 132.89989, + "name": "Unnan" + }, + "question": "Is Unnan approximately on the direct path from Barbastro to Brakpan?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8127.1, + "via_waypoint_km": 23072.7, + "detour_km": 14945.6, + "detour_percent": 183.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Barbastro", + " End: Brakpan", + " Waypoint: Unnan", + "Step 2: Calculate direct distance", + " Start → End: 8127.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23072.7 km", + "Step 4: Calculate detour", + " Detour = 23072.7 - 8127.1 = 14945.6 km", + " Detour % = (14945.6 / 8127.1) × 100 = 183.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 183.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -37.56622, + "lon": 143.84957, + "name": "Ballarat" + }, + "end": { + "lat": -23.93167, + "lon": -47.06833, + "name": "Juquitiba" + }, + "waypoint": { + "lat": 48.66181, + "lon": 2.35338, + "name": "Morsang-sur-Orge" + }, + "question": "Is Morsang-sur-Orge approximately on the direct path from Ballarat to Juquitiba?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13082.1, + "via_waypoint_km": 26143.0, + "detour_km": 13060.8, + "detour_percent": 99.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ballarat", + " End: Juquitiba", + " Waypoint: Morsang-sur-Orge", + "Step 2: Calculate direct distance", + " Start → End: 13082.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26143.0 km", + "Step 4: Calculate detour", + " Detour = 26143.0 - 13082.1 = 13060.8 km", + " Detour % = (13060.8 / 13082.1) × 100 = 99.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 99.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 53.29026, + "lon": -6.34151, + "name": "South Dublin" + }, + "end": { + "lat": -41.14557, + "lon": -71.30822, + "name": "San Carlos de Bariloche" + }, + "waypoint": { + "lat": 31.42813, + "lon": 119.48353, + "name": "Licheng" + }, + "question": "Is Licheng approximately on the direct path from South Dublin to San Carlos de Bariloche?", + "ground_truth": { + "answer": false, + "direct_distance_km": 12197.5, + "via_waypoint_km": 27811.8, + "detour_km": 15614.3, + "detour_percent": 128.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: South Dublin", + " End: San Carlos de Bariloche", + " Waypoint: Licheng", + "Step 2: Calculate direct distance", + " Start → End: 12197.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27811.8 km", + "Step 4: Calculate detour", + " Detour = 27811.8 - 12197.5 = 15614.3 km", + " Detour % = (15614.3 / 12197.5) × 100 = 128.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 128.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.55102, + "lon": 52.6786, + "name": "Bābol" + }, + "end": { + "lat": 33.20004, + "lon": -117.24254, + "name": "Vista" + }, + "waypoint": { + "lat": 45.82318, + "lon": -73.4294, + "name": "L'Assomption" + }, + "question": "Is L'Assomption approximately on the direct path from Bābol to Vista?", + "ground_truth": { + "answer": true, + "direct_distance_km": 12188.8, + "via_waypoint_km": 13341.5, + "detour_km": 1152.7, + "detour_percent": 9.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bābol", + " End: Vista", + " Waypoint: L'Assomption", + "Step 2: Calculate direct distance", + " Start → End: 12188.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13341.5 km", + "Step 4: Calculate detour", + " Detour = 13341.5 - 12188.8 = 1152.7 km", + " Detour % = (1152.7 / 12188.8) × 100 = 9.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 9.5% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 48.12096, + "lon": 7.85359, + "name": "Emmendingen" + }, + "end": { + "lat": 59.2978, + "lon": 18.0514, + "name": "Årsta" + }, + "waypoint": { + "lat": 45.10359, + "lon": 7.76803, + "name": "San Mauro Torinese" + }, + "question": "Is San Mauro Torinese approximately on the direct path from Emmendingen to Årsta?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1408.9, + "via_waypoint_km": 2057.9, + "detour_km": 649.0, + "detour_percent": 46.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Emmendingen", + " End: Årsta", + " Waypoint: San Mauro Torinese", + "Step 2: Calculate direct distance", + " Start → End: 1408.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 2057.9 km", + "Step 4: Calculate detour", + " Detour = 2057.9 - 1408.9 = 649.0 km", + " Detour % = (649.0 / 1408.9) × 100 = 46.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 46.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 37.15964, + "lon": 9.7606, + "name": "Tinja" + }, + "end": { + "lat": 36.8, + "lon": 4.26667, + "name": "Timizart" + }, + "waypoint": { + "lat": 42.31722, + "lon": 140.98806, + "name": "Muroran" + }, + "question": "Is Muroran approximately on the direct path from Tinja to Timizart?", + "ground_truth": { + "answer": false, + "direct_distance_km": 489.6, + "via_waypoint_km": 20075.5, + "detour_km": 19585.9, + "detour_percent": 4000.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tinja", + " End: Timizart", + " Waypoint: Muroran", + "Step 2: Calculate direct distance", + " Start → End: 489.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20075.5 km", + "Step 4: Calculate detour", + " Detour = 20075.5 - 489.6 = 19585.9 km", + " Detour % = (19585.9 / 489.6) × 100 = 4000.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 4000.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 48.8, + "lon": 8.33333, + "name": "Gaggenau" + }, + "end": { + "lat": 50.92509, + "lon": 6.94762, + "name": "Neustadt/Süd" + }, + "waypoint": { + "lat": 24.55524, + "lon": -81.78163, + "name": "Key West" + }, + "question": "Is Key West approximately on the direct path from Gaggenau to Neustadt/Süd?", + "ground_truth": { + "answer": false, + "direct_distance_km": 256.3, + "via_waypoint_km": 15818.5, + "detour_km": 15562.2, + "detour_percent": 6071.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Gaggenau", + " End: Neustadt/Süd", + " Waypoint: Key West", + "Step 2: Calculate direct distance", + " Start → End: 256.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15818.5 km", + "Step 4: Calculate detour", + " Detour = 15818.5 - 256.3 = 15562.2 km", + " Detour % = (15562.2 / 256.3) × 100 = 6071.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 6071.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 41.21954, + "lon": 16.06768, + "name": "Canosa di Puglia" + }, + "end": { + "lat": 35.6659, + "lon": 50.9767, + "name": "Malārd" + }, + "waypoint": { + "lat": 36.3, + "lon": 139.11667, + "name": "Tamamura" + }, + "question": "Is Tamamura approximately on the direct path from Canosa di Puglia to Malārd?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3080.8, + "via_waypoint_km": 17245.6, + "detour_km": 14164.8, + "detour_percent": 459.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Canosa di Puglia", + " End: Malārd", + " Waypoint: Tamamura", + "Step 2: Calculate direct distance", + " Start → End: 3080.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17245.6 km", + "Step 4: Calculate detour", + " Detour = 17245.6 - 3080.8 = 14164.8 km", + " Detour % = (14164.8 / 3080.8) × 100 = 459.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 459.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.26104, + "lon": 2.22015, + "name": "Khemis Miliana" + }, + "end": { + "lat": 54.73429, + "lon": 25.21912, + "name": "Pašilaičiai" + }, + "waypoint": { + "lat": 43.10389, + "lon": 20.80278, + "name": "Leposaviq" + }, + "question": "Is Leposaviq approximately on the direct path from Khemis Miliana to Pašilaičiai?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2701.1, + "via_waypoint_km": 3089.9, + "detour_km": 388.8, + "detour_percent": 14.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Khemis Miliana", + " End: Pašilaičiai", + " Waypoint: Leposaviq", + "Step 2: Calculate direct distance", + " Start → End: 2701.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 3089.9 km", + "Step 4: Calculate detour", + " Detour = 3089.9 - 2701.1 = 388.8 km", + " Detour % = (388.8 / 2701.1) × 100 = 14.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 14.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 1.15167, + "lon": 33.155, + "name": "Buyende" + }, + "end": { + "lat": 8.5688, + "lon": 78.09091, + "name": "Arumuganeri" + }, + "waypoint": { + "lat": 51.5, + "lon": 7.63333, + "name": "Holzwickede" + }, + "question": "Is Holzwickede approximately on the direct path from Buyende to Arumuganeri?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5042.0, + "via_waypoint_km": 14001.4, + "detour_km": 8959.4, + "detour_percent": 177.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Buyende", + " End: Arumuganeri", + " Waypoint: Holzwickede", + "Step 2: Calculate direct distance", + " Start → End: 5042.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14001.4 km", + "Step 4: Calculate detour", + " Detour = 14001.4 - 5042.0 = 8959.4 km", + " Detour % = (8959.4 / 5042.0) × 100 = 177.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 177.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -15.39053, + "lon": 28.18986, + "name": "Namalombwe" + }, + "end": { + "lat": 58.52131, + "lon": 31.27104, + "name": "Velikiy Novgorod" + }, + "waypoint": { + "lat": 37.80437, + "lon": -122.2708, + "name": "Oakland" + }, + "question": "Is Oakland approximately on the direct path from Namalombwe to Velikiy Novgorod?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8223.4, + "via_waypoint_km": 25220.0, + "detour_km": 16996.6, + "detour_percent": 206.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Namalombwe", + " End: Velikiy Novgorod", + " Waypoint: Oakland", + "Step 2: Calculate direct distance", + " Start → End: 8223.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25220.0 km", + "Step 4: Calculate detour", + " Detour = 25220.0 - 8223.4 = 16996.6 km", + " Detour % = (16996.6 / 8223.4) × 100 = 206.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 206.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 22.89088, + "lon": -109.91238, + "name": "Cabo San Lucas" + }, + "end": { + "lat": 35.92989, + "lon": 0.82871, + "name": "Djidiouia" + }, + "waypoint": { + "lat": -33.28397, + "lon": 149.10018, + "name": "Orange" + }, + "question": "Is Orange approximately on the direct path from Cabo San Lucas to Djidiouia?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10236.5, + "via_waypoint_km": 29464.6, + "detour_km": 19228.1, + "detour_percent": 187.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Cabo San Lucas", + " End: Djidiouia", + " Waypoint: Orange", + "Step 2: Calculate direct distance", + " Start → End: 10236.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 29464.6 km", + "Step 4: Calculate detour", + " Detour = 29464.6 - 10236.5 = 19228.1 km", + " Detour % = (19228.1 / 10236.5) × 100 = 187.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 187.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 25.70816, + "lon": -80.407, + "name": "Kendale Lakes" + }, + "end": { + "lat": 43.09722, + "lon": -89.50429, + "name": "Middleton" + }, + "waypoint": { + "lat": -31.54055, + "lon": -68.49794, + "name": "Santa Lucía" + }, + "question": "Is Santa Lucía approximately on the direct path from Kendale Lakes to Middleton?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2102.8, + "via_waypoint_km": 15061.3, + "detour_km": 12958.5, + "detour_percent": 616.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kendale Lakes", + " End: Middleton", + " Waypoint: Santa Lucía", + "Step 2: Calculate direct distance", + " Start → End: 2102.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15061.3 km", + "Step 4: Calculate detour", + " Detour = 15061.3 - 2102.8 = 12958.5 km", + " Detour % = (12958.5 / 2102.8) × 100 = 616.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 616.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 20.55971, + "lon": -76.91673, + "name": "Río Cauto" + }, + "end": { + "lat": -13.71302, + "lon": 39.83151, + "name": "Namapa-erati" + }, + "waypoint": { + "lat": 45.55301, + "lon": 9.29907, + "name": "Brugherio" + }, + "question": "Is Brugherio approximately on the direct path from Río Cauto to Namapa-erati?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13289.4, + "via_waypoint_km": 15375.5, + "detour_km": 2086.1, + "detour_percent": 15.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Río Cauto", + " End: Namapa-erati", + " Waypoint: Brugherio", + "Step 2: Calculate direct distance", + " Start → End: 13289.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15375.5 km", + "Step 4: Calculate detour", + " Detour = 15375.5 - 13289.4 = 2086.1 km", + " Detour % = (2086.1 / 13289.4) × 100 = 15.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 15.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 31.1245, + "lon": 76.11613, + "name": "Nawanshahr" + }, + "end": { + "lat": 41.03399, + "lon": -73.76291, + "name": "White Plains" + }, + "waypoint": { + "lat": -37.8, + "lon": 145.28333, + "name": "Croydon" + }, + "question": "Is Croydon approximately on the direct path from Nawanshahr to White Plains?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11415.4, + "via_waypoint_km": 27163.5, + "detour_km": 15748.1, + "detour_percent": 138.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Nawanshahr", + " End: White Plains", + " Waypoint: Croydon", + "Step 2: Calculate direct distance", + " Start → End: 11415.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27163.5 km", + "Step 4: Calculate detour", + " Detour = 27163.5 - 11415.4 = 15748.1 km", + " Detour % = (15748.1 / 11415.4) × 100 = 138.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 138.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -7.36194, + "lon": -46.61722, + "name": "Riachão" + }, + "end": { + "lat": 10.85953, + "lon": -74.77386, + "name": "Malambo" + }, + "waypoint": { + "lat": 46.84862, + "lon": 40.31164, + "name": "Zernograd" + }, + "question": "Is Zernograd approximately on the direct path from Riachão to Malambo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3716.9, + "via_waypoint_km": 21321.4, + "detour_km": 17604.5, + "detour_percent": 473.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Riachão", + " End: Malambo", + " Waypoint: Zernograd", + "Step 2: Calculate direct distance", + " Start → End: 3716.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21321.4 km", + "Step 4: Calculate detour", + " Detour = 21321.4 - 3716.9 = 17604.5 km", + " Detour % = (17604.5 / 3716.9) × 100 = 473.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 473.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 10.15847, + "lon": -69.00782, + "name": "Urachiche" + }, + "end": { + "lat": 43.11167, + "lon": -88.49927, + "name": "Oconomowoc" + }, + "waypoint": { + "lat": 34.83033, + "lon": 0.15171, + "name": "Saïda" + }, + "question": "Is Saïda approximately on the direct path from Urachiche to Oconomowoc?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4121.6, + "via_waypoint_km": 14822.5, + "detour_km": 10700.9, + "detour_percent": 259.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Urachiche", + " End: Oconomowoc", + " Waypoint: Saïda", + "Step 2: Calculate direct distance", + " Start → End: 4121.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14822.5 km", + "Step 4: Calculate detour", + " Detour = 14822.5 - 4121.6 = 10700.9 km", + " Detour % = (10700.9 / 4121.6) × 100 = 259.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 259.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 3.20663, + "lon": 101.47729, + "name": "Bandar Saujana Utama" + }, + "end": { + "lat": 10.91667, + "lon": 79.83333, + "name": "Kāraikāl" + }, + "waypoint": { + "lat": 51.50901, + "lon": -0.2762, + "name": "Acton" + }, + "question": "Is Acton approximately on the direct path from Bandar Saujana Utama to Kāraikāl?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2535.7, + "via_waypoint_km": 18912.3, + "detour_km": 16376.7, + "detour_percent": 645.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bandar Saujana Utama", + " End: Kāraikāl", + " Waypoint: Acton", + "Step 2: Calculate direct distance", + " Start → End: 2535.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18912.3 km", + "Step 4: Calculate detour", + " Detour = 18912.3 - 2535.7 = 16376.7 km", + " Detour % = (16376.7 / 2535.7) × 100 = 645.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 645.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.64262, + "lon": 2.69007, + "name": "Bou Ismaïl" + }, + "end": { + "lat": 41.78333, + "lon": 3.03333, + "name": "Sant Feliu de Guíxols" + }, + "waypoint": { + "lat": 57.87096, + "lon": 11.98054, + "name": "Kungälv" + }, + "question": "Is Kungälv approximately on the direct path from Bou Ismaïl to Sant Feliu de Guíxols?", + "ground_truth": { + "answer": false, + "direct_distance_km": 572.4, + "via_waypoint_km": 4353.7, + "detour_km": 3781.4, + "detour_percent": 660.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bou Ismaïl", + " End: Sant Feliu de Guíxols", + " Waypoint: Kungälv", + "Step 2: Calculate direct distance", + " Start → End: 572.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 4353.7 km", + "Step 4: Calculate detour", + " Detour = 4353.7 - 572.4 = 3781.4 km", + " Detour % = (3781.4 / 572.4) × 100 = 660.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 660.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -5.45417, + "lon": -39.71722, + "name": "Pedra Branca" + }, + "end": { + "lat": 35.48341, + "lon": -86.46027, + "name": "Shelbyville" + }, + "waypoint": { + "lat": 38.96667, + "lon": 16.28333, + "name": "Sambiase" + }, + "question": "Is Sambiase approximately on the direct path from Pedra Branca to Shelbyville?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6669.4, + "via_waypoint_km": 16131.3, + "detour_km": 9461.8, + "detour_percent": 141.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Pedra Branca", + " End: Shelbyville", + " Waypoint: Sambiase", + "Step 2: Calculate direct distance", + " Start → End: 6669.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16131.3 km", + "Step 4: Calculate detour", + " Detour = 16131.3 - 6669.4 = 9461.8 km", + " Detour % = (9461.8 / 6669.4) × 100 = 141.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 141.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -8.48639, + "lon": -36.23306, + "name": "Cachoeirinha" + }, + "end": { + "lat": -7.82694, + "lon": 110.32917, + "name": "Kasihan" + }, + "waypoint": { + "lat": 45.98026, + "lon": 12.30065, + "name": "Vittorio Veneto" + }, + "question": "Is Vittorio Veneto approximately on the direct path from Cachoeirinha to Kasihan?", + "ground_truth": { + "answer": false, + "direct_distance_km": 15889.5, + "via_waypoint_km": 18988.2, + "detour_km": 3098.7, + "detour_percent": 19.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Cachoeirinha", + " End: Kasihan", + " Waypoint: Vittorio Veneto", + "Step 2: Calculate direct distance", + " Start → End: 15889.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18988.2 km", + "Step 4: Calculate detour", + " Detour = 18988.2 - 15889.5 = 3098.7 km", + " Detour % = (3098.7 / 15889.5) × 100 = 19.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 19.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 25.24004, + "lon": 55.30106, + "name": "Al Karama" + }, + "end": { + "lat": 13.95722, + "lon": -89.18972, + "name": "Aguilares" + }, + "waypoint": { + "lat": 40.59122, + "lon": -73.94458, + "name": "Sheepshead Bay" + }, + "question": "Is Sheepshead Bay approximately on the direct path from Al Karama to Aguilares?", + "ground_truth": { + "answer": true, + "direct_distance_km": 14201.1, + "via_waypoint_km": 14323.8, + "detour_km": 122.6, + "detour_percent": 0.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Al Karama", + " End: Aguilares", + " Waypoint: Sheepshead Bay", + "Step 2: Calculate direct distance", + " Start → End: 14201.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14323.8 km", + "Step 4: Calculate detour", + " Detour = 14323.8 - 14201.1 = 122.6 km", + " Detour % = (122.6 / 14201.1) × 100 = 0.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.9% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -4.285, + "lon": -47.505, + "name": "Dom Eliseu" + }, + "end": { + "lat": 36.52715, + "lon": 138.08943, + "name": "Chikuma" + }, + "waypoint": { + "lat": 9.44272, + "lon": -0.00991, + "name": "Yendi" + }, + "question": "Is Yendi approximately on the direct path from Dom Eliseu to Chikuma?", + "ground_truth": { + "answer": false, + "direct_distance_km": 16384.6, + "via_waypoint_km": 18766.8, + "detour_km": 2382.2, + "detour_percent": 14.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Dom Eliseu", + " End: Chikuma", + " Waypoint: Yendi", + "Step 2: Calculate direct distance", + " Start → End: 16384.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18766.8 km", + "Step 4: Calculate detour", + " Detour = 18766.8 - 16384.6 = 2382.2 km", + " Detour % = (2382.2 / 16384.6) × 100 = 14.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 14.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 5.43102, + "lon": -6.55946, + "name": "Touagui" + }, + "end": { + "lat": 37.44722, + "lon": 140.5771, + "name": "Funehikimachi-funehiki" + }, + "waypoint": { + "lat": 14.28356, + "lon": -91.36063, + "name": "Tiquisate" + }, + "question": "Is Tiquisate approximately on the direct path from Touagui to Funehikimachi-funehiki?", + "ground_truth": { + "answer": false, + "direct_distance_km": 14157.8, + "via_waypoint_km": 21412.2, + "detour_km": 7254.4, + "detour_percent": 51.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Touagui", + " End: Funehikimachi-funehiki", + " Waypoint: Tiquisate", + "Step 2: Calculate direct distance", + " Start → End: 14157.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21412.2 km", + "Step 4: Calculate detour", + " Detour = 21412.2 - 14157.8 = 7254.4 km", + " Detour % = (7254.4 / 14157.8) × 100 = 51.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 51.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 10.05692, + "lon": -12.86576, + "name": "Kindia" + }, + "end": { + "lat": -20.0576, + "lon": 57.55025, + "name": "Triolet" + }, + "waypoint": { + "lat": 28.2403, + "lon": 68.7755, + "name": "Thul" + }, + "question": "Is Thul approximately on the direct path from Kindia to Triolet?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8396.9, + "via_waypoint_km": 14172.2, + "detour_km": 5775.4, + "detour_percent": 68.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kindia", + " End: Triolet", + " Waypoint: Thul", + "Step 2: Calculate direct distance", + " Start → End: 8396.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14172.2 km", + "Step 4: Calculate detour", + " Detour = 14172.2 - 8396.9 = 5775.4 km", + " Detour % = (5775.4 / 8396.9) × 100 = 68.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 68.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -10.70806, + "lon": -48.41722, + "name": "Porto Nacional" + }, + "end": { + "lat": -15.29333, + "lon": -39.07528, + "name": "Una" + }, + "waypoint": { + "lat": -38.07758, + "lon": 145.29871, + "name": "Cranbourne North" + }, + "question": "Is Cranbourne North approximately on the direct path from Porto Nacional to Una?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1133.0, + "via_waypoint_km": 28468.9, + "detour_km": 27335.9, + "detour_percent": 2412.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Porto Nacional", + " End: Una", + " Waypoint: Cranbourne North", + "Step 2: Calculate direct distance", + " Start → End: 1133.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 28468.9 km", + "Step 4: Calculate detour", + " Detour = 28468.9 - 1133.0 = 27335.9 km", + " Detour % = (27335.9 / 1133.0) × 100 = 2412.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2412.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 29.30135, + "lon": -94.7977, + "name": "Galveston" + }, + "end": { + "lat": 14.37395, + "lon": 100.48528, + "name": "Bang Ban" + }, + "waypoint": { + "lat": 50.71667, + "lon": -2.43333, + "name": "Dorchester" + }, + "question": "Is Dorchester approximately on the direct path from Galveston to Bang Ban?", + "ground_truth": { + "answer": false, + "direct_distance_km": 14888.9, + "via_waypoint_km": 17345.2, + "detour_km": 2456.3, + "detour_percent": 16.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Galveston", + " End: Bang Ban", + " Waypoint: Dorchester", + "Step 2: Calculate direct distance", + " Start → End: 14888.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17345.2 km", + "Step 4: Calculate detour", + " Detour = 17345.2 - 14888.9 = 2456.3 km", + " Detour % = (2456.3 / 14888.9) × 100 = 16.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 16.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.00033, + "lon": 64.50213, + "name": "Vobkent Shahri" + }, + "end": { + "lat": 26.18583, + "lon": 127.68192, + "name": "Tomigusuku" + }, + "waypoint": { + "lat": 55.66473, + "lon": 37.56135, + "name": "Cherëmushki" + }, + "question": "Is Cherëmushki approximately on the direct path from Vobkent Shahri to Tomigusuku?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5956.9, + "via_waypoint_km": 10269.0, + "detour_km": 4312.1, + "detour_percent": 72.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Vobkent Shahri", + " End: Tomigusuku", + " Waypoint: Cherëmushki", + "Step 2: Calculate direct distance", + " Start → End: 5956.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10269.0 km", + "Step 4: Calculate detour", + " Detour = 10269.0 - 5956.9 = 4312.1 km", + " Detour % = (4312.1 / 5956.9) × 100 = 72.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 72.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 43.48921, + "lon": -1.51921, + "name": "Anglet" + }, + "end": { + "lat": 25.91544, + "lon": 32.76287, + "name": "Qūş" + }, + "waypoint": { + "lat": 9.75502, + "lon": 76.35724, + "name": "Pallipuram" + }, + "question": "Is Pallipuram approximately on the direct path from Anglet to Qūş?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3654.3, + "via_waypoint_km": 13209.8, + "detour_km": 9555.6, + "detour_percent": 261.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Anglet", + " End: Qūş", + " Waypoint: Pallipuram", + "Step 2: Calculate direct distance", + " Start → End: 3654.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13209.8 km", + "Step 4: Calculate detour", + " Detour = 13209.8 - 3654.3 = 9555.6 km", + " Detour % = (9555.6 / 3654.3) × 100 = 261.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 261.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -20.6, + "lon": 48.33333, + "name": "Sahavato" + }, + "end": { + "lat": 30.42039, + "lon": 31.56223, + "name": "Bilbeis" + }, + "waypoint": { + "lat": -13.53056, + "lon": -39.97083, + "name": "Jaguaquara" + }, + "question": "Is Jaguaquara approximately on the direct path from Sahavato to Bilbeis?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5949.8, + "via_waypoint_km": 18377.0, + "detour_km": 12427.2, + "detour_percent": 208.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sahavato", + " End: Bilbeis", + " Waypoint: Jaguaquara", + "Step 2: Calculate direct distance", + " Start → End: 5949.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18377.0 km", + "Step 4: Calculate detour", + " Detour = 18377.0 - 5949.8 = 12427.2 km", + " Detour % = (12427.2 / 5949.8) × 100 = 208.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 208.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 34.70882, + "lon": 11.2147, + "name": "Kellabine" + }, + "end": { + "lat": 36.01152, + "lon": 36.67183, + "name": "Ma‘arratmişrīn" + }, + "waypoint": { + "lat": 40.15085, + "lon": -8.86179, + "name": "Figueira da Foz" + }, + "question": "Is Figueira da Foz approximately on the direct path from Kellabine to Ma‘arratmişrīn?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2306.5, + "via_waypoint_km": 5836.5, + "detour_km": 3530.0, + "detour_percent": 153.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kellabine", + " End: Ma‘arratmişrīn", + " Waypoint: Figueira da Foz", + "Step 2: Calculate direct distance", + " Start → End: 2306.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 5836.5 km", + "Step 4: Calculate detour", + " Detour = 5836.5 - 2306.5 = 3530.0 km", + " Detour % = (3530.0 / 2306.5) × 100 = 153.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 153.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 31.90274, + "lon": 35.84645, + "name": "Marj Al Hamam" + }, + "end": { + "lat": -36.8, + "lon": 174.75, + "name": "North Shore" + }, + "waypoint": { + "lat": 40.01384, + "lon": -75.07859, + "name": "Frankford" + }, + "question": "Is Frankford approximately on the direct path from Marj Al Hamam to North Shore?", + "ground_truth": { + "answer": false, + "direct_distance_km": 16232.4, + "via_waypoint_km": 23401.3, + "detour_km": 7168.9, + "detour_percent": 44.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Marj Al Hamam", + " End: North Shore", + " Waypoint: Frankford", + "Step 2: Calculate direct distance", + " Start → End: 16232.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23401.3 km", + "Step 4: Calculate detour", + " Detour = 23401.3 - 16232.4 = 7168.9 km", + " Detour % = (7168.9 / 16232.4) × 100 = 44.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 44.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 16.33264, + "lon": -61.6969, + "name": "Sainte-Rose" + }, + "end": { + "lat": 51.5861, + "lon": -0.55543, + "name": "Gerrards Cross" + }, + "waypoint": { + "lat": 37.61837, + "lon": 48.52928, + "name": "Khalkhāl" + }, + "question": "Is Khalkhāl approximately on the direct path from Sainte-Rose to Gerrards Cross?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6611.7, + "via_waypoint_km": 14682.3, + "detour_km": 8070.6, + "detour_percent": 122.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sainte-Rose", + " End: Gerrards Cross", + " Waypoint: Khalkhāl", + "Step 2: Calculate direct distance", + " Start → End: 6611.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14682.3 km", + "Step 4: Calculate detour", + " Detour = 14682.3 - 6611.7 = 8070.6 km", + " Detour % = (8070.6 / 6611.7) × 100 = 122.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 122.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 16.70008, + "lon": 104.09019, + "name": "Khao Wong" + }, + "end": { + "lat": 32.2, + "lon": -6.8, + "name": "Oulad Ayad" + }, + "waypoint": { + "lat": -11.83431, + "lon": 31.45287, + "name": "Mpika" + }, + "question": "Is Mpika approximately on the direct path from Khao Wong to Oulad Ayad?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10875.9, + "via_waypoint_km": 14954.0, + "detour_km": 4078.1, + "detour_percent": 37.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Khao Wong", + " End: Oulad Ayad", + " Waypoint: Mpika", + "Step 2: Calculate direct distance", + " Start → End: 10875.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14954.0 km", + "Step 4: Calculate detour", + " Detour = 14954.0 - 10875.9 = 4078.1 km", + " Detour % = (4078.1 / 10875.9) × 100 = 37.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 37.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -1.55194, + "lon": -47.11444, + "name": "Ourém" + }, + "end": { + "lat": -6.80306, + "lon": -35.08056, + "name": "Rio Tinto" + }, + "waypoint": { + "lat": -28.44776, + "lon": 21.25612, + "name": "Upington" + }, + "question": "Is Upington approximately on the direct path from Ourém to Rio Tinto?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1456.2, + "via_waypoint_km": 14188.9, + "detour_km": 12732.7, + "detour_percent": 874.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ourém", + " End: Rio Tinto", + " Waypoint: Upington", + "Step 2: Calculate direct distance", + " Start → End: 1456.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14188.9 km", + "Step 4: Calculate detour", + " Detour = 14188.9 - 1456.2 = 12732.7 km", + " Detour % = (12732.7 / 1456.2) × 100 = 874.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 874.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -27.69934, + "lon": -48.53219, + "name": "Ribeirão da Ilha" + }, + "end": { + "lat": -11.36667, + "lon": -38.33333, + "name": "Olindina" + }, + "waypoint": { + "lat": 34.68885, + "lon": 103.35242, + "name": "Lintan Chengguanzhen" + }, + "question": "Is Lintan Chengguanzhen approximately on the direct path from Ribeirão da Ilha to Olindina?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2104.6, + "via_waypoint_km": 32600.0, + "detour_km": 30495.4, + "detour_percent": 1449.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ribeirão da Ilha", + " End: Olindina", + " Waypoint: Lintan Chengguanzhen", + "Step 2: Calculate direct distance", + " Start → End: 2104.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 32600.0 km", + "Step 4: Calculate detour", + " Detour = 32600.0 - 2104.6 = 30495.4 km", + " Detour % = (30495.4 / 2104.6) × 100 = 1449.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1449.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 15.23046, + "lon": 80.02794, + "name": "Singarāyakonda" + }, + "end": { + "lat": 56.99918, + "lon": 86.15518, + "name": "Asino" + }, + "waypoint": { + "lat": 5.4119, + "lon": -6.5603, + "name": "Méagui" + }, + "question": "Is Méagui approximately on the direct path from Singarāyakonda to Asino?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4673.1, + "via_waypoint_km": 19152.0, + "detour_km": 14478.9, + "detour_percent": 309.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Singarāyakonda", + " End: Asino", + " Waypoint: Méagui", + "Step 2: Calculate direct distance", + " Start → End: 4673.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19152.0 km", + "Step 4: Calculate detour", + " Detour = 19152.0 - 4673.1 = 14478.9 km", + " Detour % = (14478.9 / 4673.1) × 100 = 309.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 309.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 32.19, + "lon": 20.59653, + "name": "Al Abyār" + }, + "end": { + "lat": 12.72939, + "lon": -3.86305, + "name": "Nouna" + }, + "waypoint": { + "lat": 41.41204, + "lon": 2.18247, + "name": "el Camp de l'Arpa del Clot" + }, + "question": "Is el Camp de l'Arpa del Clot approximately on the direct path from Al Abyār to Nouna?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3300.5, + "via_waypoint_km": 5170.6, + "detour_km": 1870.1, + "detour_percent": 56.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Al Abyār", + " End: Nouna", + " Waypoint: el Camp de l'Arpa del Clot", + "Step 2: Calculate direct distance", + " Start → End: 3300.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 5170.6 km", + "Step 4: Calculate detour", + " Detour = 5170.6 - 3300.5 = 1870.1 km", + " Detour % = (1870.1 / 3300.5) × 100 = 56.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 56.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 8.31372, + "lon": -75.13982, + "name": "Ayapel" + }, + "end": { + "lat": -31.23717, + "lon": -64.31176, + "name": "Unquillo" + }, + "waypoint": { + "lat": 53.16332, + "lon": 7.35052, + "name": "Weener" + }, + "question": "Is Weener approximately on the direct path from Ayapel to Unquillo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4546.5, + "via_waypoint_km": 20410.7, + "detour_km": 15864.2, + "detour_percent": 348.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ayapel", + " End: Unquillo", + " Waypoint: Weener", + "Step 2: Calculate direct distance", + " Start → End: 4546.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20410.7 km", + "Step 4: Calculate detour", + " Detour = 20410.7 - 4546.5 = 15864.2 km", + " Detour % = (15864.2 / 4546.5) × 100 = 348.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 348.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -3.98889, + "lon": -39.58056, + "name": "Tejuçuoca" + }, + "end": { + "lat": 26.40107, + "lon": 90.27286, + "name": "Kokrajhar" + }, + "waypoint": { + "lat": -38.07758, + "lon": 145.29871, + "name": "Cranbourne North" + }, + "question": "Is Cranbourne North approximately on the direct path from Tejuçuoca to Kokrajhar?", + "ground_truth": { + "answer": false, + "direct_distance_km": 14135.5, + "via_waypoint_km": 24488.0, + "detour_km": 10352.5, + "detour_percent": 73.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tejuçuoca", + " End: Kokrajhar", + " Waypoint: Cranbourne North", + "Step 2: Calculate direct distance", + " Start → End: 14135.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24488.0 km", + "Step 4: Calculate detour", + " Detour = 24488.0 - 14135.5 = 10352.5 km", + " Detour % = (10352.5 / 14135.5) × 100 = 73.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 73.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -25.50054, + "lon": -57.36717, + "name": "Itá" + }, + "end": { + "lat": -12.82306, + "lon": -42.73056, + "name": "Boquira" + }, + "waypoint": { + "lat": 48.90654, + "lon": 2.33339, + "name": "Saint-Ouen" + }, + "question": "Is Saint-Ouen approximately on the direct path from Itá to Boquira?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2082.3, + "via_waypoint_km": 18331.3, + "detour_km": 16249.0, + "detour_percent": 780.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Itá", + " End: Boquira", + " Waypoint: Saint-Ouen", + "Step 2: Calculate direct distance", + " Start → End: 2082.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18331.3 km", + "Step 4: Calculate detour", + " Detour = 18331.3 - 2082.3 = 16249.0 km", + " Detour % = (16249.0 / 2082.3) × 100 = 780.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 780.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -12.7275, + "lon": -39.18194, + "name": "Sapeaçu" + }, + "end": { + "lat": 11.06831, + "lon": -63.92256, + "name": "Santa Ana" + }, + "waypoint": { + "lat": 50.85114, + "lon": 2.88569, + "name": "Ieper" + }, + "question": "Is Ieper approximately on the direct path from Sapeaçu to Santa Ana?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3802.4, + "via_waypoint_km": 15592.8, + "detour_km": 11790.4, + "detour_percent": 310.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sapeaçu", + " End: Santa Ana", + " Waypoint: Ieper", + "Step 2: Calculate direct distance", + " Start → End: 3802.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15592.8 km", + "Step 4: Calculate detour", + " Detour = 15592.8 - 3802.4 = 11790.4 km", + " Detour % = (11790.4 / 3802.4) × 100 = 310.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 310.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 14.4605, + "lon": 5.2437, + "name": "Illéla" + }, + "end": { + "lat": 31.13259, + "lon": 30.64784, + "name": "Disūq" + }, + "waypoint": { + "lat": 43.31822, + "lon": 11.33064, + "name": "Siena" + }, + "question": "Is Siena approximately on the direct path from Illéla to Disūq?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3182.4, + "via_waypoint_km": 5433.6, + "detour_km": 2251.2, + "detour_percent": 70.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Illéla", + " End: Disūq", + " Waypoint: Siena", + "Step 2: Calculate direct distance", + " Start → End: 3182.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 5433.6 km", + "Step 4: Calculate detour", + " Detour = 5433.6 - 3182.4 = 2251.2 km", + " Detour % = (2251.2 / 3182.4) × 100 = 70.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 70.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 59.75799, + "lon": 18.70496, + "name": "Norrtälje" + }, + "end": { + "lat": 41.50917, + "lon": 19.79278, + "name": "Krujë" + }, + "waypoint": { + "lat": 41.98475, + "lon": -88.07979, + "name": "Roselle" + }, + "question": "Is Roselle approximately on the direct path from Norrtälje to Krujë?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2030.6, + "via_waypoint_km": 15141.1, + "detour_km": 13110.5, + "detour_percent": 645.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Norrtälje", + " End: Krujë", + " Waypoint: Roselle", + "Step 2: Calculate direct distance", + " Start → End: 2030.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15141.1 km", + "Step 4: Calculate detour", + " Detour = 15141.1 - 2030.6 = 13110.5 km", + " Detour % = (13110.5 / 2030.6) × 100 = 645.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 645.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 12.25162, + "lon": -0.42565, + "name": "Pouytenga" + }, + "end": { + "lat": 40.35535, + "lon": -80.0495, + "name": "Mount Lebanon" + }, + "waypoint": { + "lat": 16.05981, + "lon": 73.4629, + "name": "Mālvan" + }, + "question": "Is Mālvan approximately on the direct path from Pouytenga to Mount Lebanon?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8255.6, + "via_waypoint_km": 21107.4, + "detour_km": 12851.8, + "detour_percent": 155.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Pouytenga", + " End: Mount Lebanon", + " Waypoint: Mālvan", + "Step 2: Calculate direct distance", + " Start → End: 8255.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21107.4 km", + "Step 4: Calculate detour", + " Detour = 21107.4 - 8255.6 = 12851.8 km", + " Detour % = (12851.8 / 8255.6) × 100 = 155.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 155.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 35.65071, + "lon": -78.45639, + "name": "Clayton" + }, + "end": { + "lat": 19.77557, + "lon": -98.57471, + "name": "Ciudad Sahagun" + }, + "waypoint": { + "lat": 13.06653, + "lon": 74.99525, + "name": "Mūdbidri" + }, + "question": "Is Mūdbidri approximately on the direct path from Clayton to Ciudad Sahagun?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2642.6, + "via_waypoint_km": 30216.7, + "detour_km": 27574.1, + "detour_percent": 1043.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Clayton", + " End: Ciudad Sahagun", + " Waypoint: Mūdbidri", + "Step 2: Calculate direct distance", + " Start → End: 2642.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 30216.7 km", + "Step 4: Calculate detour", + " Detour = 30216.7 - 2642.6 = 27574.1 km", + " Detour % = (27574.1 / 2642.6) × 100 = 1043.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1043.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 22.32848, + "lon": 114.18514, + "name": "Kowloon West End" + }, + "end": { + "lat": -32.081, + "lon": 116.0054, + "name": "Gosnells" + }, + "waypoint": { + "lat": 50.79722, + "lon": 3.12245, + "name": "Menen" + }, + "question": "Is Menen approximately on the direct path from Kowloon West End to Gosnells?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6053.2, + "via_waypoint_km": 23736.6, + "detour_km": 17683.5, + "detour_percent": 292.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kowloon West End", + " End: Gosnells", + " Waypoint: Menen", + "Step 2: Calculate direct distance", + " Start → End: 6053.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23736.6 km", + "Step 4: Calculate detour", + " Detour = 23736.6 - 6053.2 = 17683.5 km", + " Detour % = (17683.5 / 6053.2) × 100 = 292.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 292.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 13.03885, + "lon": -9.48817, + "name": "Kita" + }, + "end": { + "lat": 57.78596, + "lon": 14.30214, + "name": "Huskvarna" + }, + "waypoint": { + "lat": 14.95806, + "lon": 120.91778, + "name": "Bustos" + }, + "question": "Is Bustos approximately on the direct path from Kita to Huskvarna?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5363.4, + "via_waypoint_km": 23286.1, + "detour_km": 17922.7, + "detour_percent": 334.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kita", + " End: Huskvarna", + " Waypoint: Bustos", + "Step 2: Calculate direct distance", + " Start → End: 5363.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23286.1 km", + "Step 4: Calculate detour", + " Detour = 23286.1 - 5363.4 = 17922.7 km", + " Detour % = (17922.7 / 5363.4) × 100 = 334.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 334.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -26.23806, + "lon": -51.07833, + "name": "Porto União" + }, + "end": { + "lat": 24.37065, + "lon": 75.95708, + "name": "Sunel" + }, + "waypoint": { + "lat": 56.50049, + "lon": 84.98216, + "name": "Tomsk" + }, + "question": "Is Tomsk approximately on the direct path from Porto União to Sunel?", + "ground_truth": { + "answer": false, + "direct_distance_km": 14724.2, + "via_waypoint_km": 18822.5, + "detour_km": 4098.3, + "detour_percent": 27.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Porto União", + " End: Sunel", + " Waypoint: Tomsk", + "Step 2: Calculate direct distance", + " Start → End: 14724.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18822.5 km", + "Step 4: Calculate detour", + " Detour = 18822.5 - 14724.2 = 4098.3 km", + " Detour % = (4098.3 / 14724.2) × 100 = 27.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 27.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -33.2792, + "lon": 115.71504, + "name": "Australind" + }, + "end": { + "lat": 5.50803, + "lon": 10.6325, + "name": "Foumbot" + }, + "waypoint": { + "lat": 55.62047, + "lon": 37.49338, + "name": "Tyoply Stan" + }, + "question": "Is Tyoply Stan approximately on the direct path from Australind to Foumbot?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11744.1, + "via_waypoint_km": 18390.5, + "detour_km": 6646.5, + "detour_percent": 56.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Australind", + " End: Foumbot", + " Waypoint: Tyoply Stan", + "Step 2: Calculate direct distance", + " Start → End: 11744.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18390.5 km", + "Step 4: Calculate detour", + " Detour = 18390.5 - 11744.1 = 6646.5 km", + " Detour % = (6646.5 / 11744.1) × 100 = 56.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 56.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 55.52806, + "lon": 37.59917, + "name": "Drozhzhino" + }, + "end": { + "lat": -20.87222, + "lon": -51.4875, + "name": "Castilho" + }, + "waypoint": { + "lat": -33.9205, + "lon": 151.25522, + "name": "Coogee" + }, + "question": "Is Coogee approximately on the direct path from Drozhzhino to Castilho?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11850.7, + "via_waypoint_km": 27966.7, + "detour_km": 16115.9, + "detour_percent": 136.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Drozhzhino", + " End: Castilho", + " Waypoint: Coogee", + "Step 2: Calculate direct distance", + " Start → End: 11850.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27966.7 km", + "Step 4: Calculate detour", + " Detour = 27966.7 - 11850.7 = 16115.9 km", + " Detour % = (16115.9 / 11850.7) × 100 = 136.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 136.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -27.97742, + "lon": 26.73506, + "name": "Welkom" + }, + "end": { + "lat": -28.41789, + "lon": 32.18483, + "name": "Mtubatuba" + }, + "waypoint": { + "lat": -40.95972, + "lon": 175.6575, + "name": "Masterton" + }, + "question": "Is Masterton approximately on the direct path from Welkom to Mtubatuba?", + "ground_truth": { + "answer": false, + "direct_distance_km": 536.3, + "via_waypoint_km": 23139.6, + "detour_km": 22603.3, + "detour_percent": 4215.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Welkom", + " End: Mtubatuba", + " Waypoint: Masterton", + "Step 2: Calculate direct distance", + " Start → End: 536.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23139.6 km", + "Step 4: Calculate detour", + " Detour = 23139.6 - 536.3 = 22603.3 km", + " Detour % = (22603.3 / 536.3) × 100 = 4215.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 4215.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 46.5599, + "lon": 39.6321, + "name": "Kushchyovskaya" + }, + "end": { + "lat": 47.18594, + "lon": 19.31091, + "name": "Dabas" + }, + "waypoint": { + "lat": 0.23457, + "lon": -78.26248, + "name": "Otavalo" + }, + "question": "Is Otavalo approximately on the direct path from Kushchyovskaya to Dabas?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1541.9, + "via_waypoint_km": 22633.9, + "detour_km": 21092.0, + "detour_percent": 1367.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kushchyovskaya", + " End: Dabas", + " Waypoint: Otavalo", + "Step 2: Calculate direct distance", + " Start → End: 1541.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22633.9 km", + "Step 4: Calculate detour", + " Detour = 22633.9 - 1541.9 = 21092.0 km", + " Detour % = (21092.0 / 1541.9) × 100 = 1367.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1367.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 22.23507, + "lon": 76.39335, + "name": "Punāsa" + }, + "end": { + "lat": 39.89061, + "lon": -84.19883, + "name": "Vandalia" + }, + "waypoint": { + "lat": 9.55111, + "lon": 1.18611, + "name": "Kara" + }, + "question": "Is Kara approximately on the direct path from Punāsa to Vandalia?", + "ground_truth": { + "answer": false, + "direct_distance_km": 12819.5, + "via_waypoint_km": 17030.7, + "detour_km": 4211.2, + "detour_percent": 32.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Punāsa", + " End: Vandalia", + " Waypoint: Kara", + "Step 2: Calculate direct distance", + " Start → End: 12819.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17030.7 km", + "Step 4: Calculate detour", + " Detour = 17030.7 - 12819.5 = 4211.2 km", + " Detour % = (4211.2 / 12819.5) × 100 = 32.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 32.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 11.86357, + "lon": -15.59767, + "name": "Bissau" + }, + "end": { + "lat": 36.10124, + "lon": 1.19949, + "name": "Oued Sly" + }, + "waypoint": { + "lat": 35.60498, + "lon": 139.71011, + "name": "Nakanobu" + }, + "question": "Is Nakanobu approximately on the direct path from Bissau to Oued Sly?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3178.4, + "via_waypoint_km": 25093.9, + "detour_km": 21915.4, + "detour_percent": 689.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bissau", + " End: Oued Sly", + " Waypoint: Nakanobu", + "Step 2: Calculate direct distance", + " Start → End: 3178.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25093.9 km", + "Step 4: Calculate detour", + " Detour = 25093.9 - 3178.4 = 21915.4 km", + " Detour % = (21915.4 / 3178.4) × 100 = 689.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 689.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 5.71062, + "lon": -75.31069, + "name": "Sonsón" + }, + "end": { + "lat": 42.28343, + "lon": -71.3495, + "name": "Natick" + }, + "waypoint": { + "lat": -21.97895, + "lon": 27.84296, + "name": "Selebi-Phikwe" + }, + "question": "Is Selebi-Phikwe approximately on the direct path from Sonsón to Natick?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4085.5, + "via_waypoint_km": 23962.4, + "detour_km": 19877.0, + "detour_percent": 486.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sonsón", + " End: Natick", + " Waypoint: Selebi-Phikwe", + "Step 2: Calculate direct distance", + " Start → End: 4085.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23962.4 km", + "Step 4: Calculate detour", + " Detour = 23962.4 - 4085.5 = 19877.0 km", + " Detour % = (19877.0 / 4085.5) × 100 = 486.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 486.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 33.53335, + "lon": 47.60999, + "name": "Kūhdasht" + }, + "end": { + "lat": 25.61907, + "lon": 83.75576, + "name": "Muhammadābād" + }, + "waypoint": { + "lat": 17.99913, + "lon": -94.6359, + "name": "Cosoleacaque" + }, + "question": "Is Cosoleacaque approximately on the direct path from Kūhdasht to Muhammadābād?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3585.1, + "via_waypoint_km": 28186.8, + "detour_km": 24601.6, + "detour_percent": 686.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kūhdasht", + " End: Muhammadābād", + " Waypoint: Cosoleacaque", + "Step 2: Calculate direct distance", + " Start → End: 3585.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 28186.8 km", + "Step 4: Calculate detour", + " Detour = 28186.8 - 3585.1 = 24601.6 km", + " Detour % = (24601.6 / 3585.1) × 100 = 686.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 686.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -39.4926, + "lon": 176.91233, + "name": "Napier" + }, + "end": { + "lat": 34.69721, + "lon": 32.99324, + "name": "Káto Polemídia" + }, + "waypoint": { + "lat": -3.22944, + "lon": -40.125, + "name": "Morrinhos" + }, + "question": "Is Morrinhos approximately on the direct path from Napier to Káto Polemídia?", + "ground_truth": { + "answer": false, + "direct_distance_km": 16792.8, + "via_waypoint_km": 22626.9, + "detour_km": 5834.1, + "detour_percent": 34.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Napier", + " End: Káto Polemídia", + " Waypoint: Morrinhos", + "Step 2: Calculate direct distance", + " Start → End: 16792.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22626.9 km", + "Step 4: Calculate detour", + " Detour = 22626.9 - 16792.8 = 5834.1 km", + " Detour % = (5834.1 / 16792.8) × 100 = 34.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 34.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 35.70791, + "lon": -79.81364, + "name": "Asheboro" + }, + "end": { + "lat": 40.42118, + "lon": -79.7881, + "name": "Monroeville" + }, + "waypoint": { + "lat": 22.78659, + "lon": 77.68109, + "name": "Budhni" + }, + "question": "Is Budhni approximately on the direct path from Asheboro to Monroeville?", + "ground_truth": { + "answer": false, + "direct_distance_km": 524.1, + "via_waypoint_km": 25702.6, + "detour_km": 25178.5, + "detour_percent": 4804.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Asheboro", + " End: Monroeville", + " Waypoint: Budhni", + "Step 2: Calculate direct distance", + " Start → End: 524.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25702.6 km", + "Step 4: Calculate detour", + " Detour = 25702.6 - 524.1 = 25178.5 km", + " Detour % = (25178.5 / 524.1) × 100 = 4804.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 4804.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 34.22149, + "lon": -5.70775, + "name": "Sidi Kacem" + }, + "end": { + "lat": 38.44546, + "lon": -121.8233, + "name": "Dixon" + }, + "waypoint": { + "lat": 49.35571, + "lon": 6.1926, + "name": "Yutz" + }, + "question": "Is Yutz approximately on the direct path from Sidi Kacem to Dixon?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9595.6, + "via_waypoint_km": 10944.7, + "detour_km": 1349.1, + "detour_percent": 14.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sidi Kacem", + " End: Dixon", + " Waypoint: Yutz", + "Step 2: Calculate direct distance", + " Start → End: 9595.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10944.7 km", + "Step 4: Calculate detour", + " Detour = 10944.7 - 9595.6 = 1349.1 km", + " Detour % = (1349.1 / 9595.6) × 100 = 14.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 14.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -2.58333, + "lon": 33.35, + "name": "Kihangara" + }, + "end": { + "lat": 38.41269, + "lon": 77.23028, + "name": "Gulebage" + }, + "waypoint": { + "lat": 39.22935, + "lon": 9.25004, + "name": "Quartu Sant'Elena" + }, + "question": "Is Quartu Sant'Elena approximately on the direct path from Kihangara to Gulebage?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6402.0, + "via_waypoint_km": 11004.9, + "detour_km": 4602.8, + "detour_percent": 71.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kihangara", + " End: Gulebage", + " Waypoint: Quartu Sant'Elena", + "Step 2: Calculate direct distance", + " Start → End: 6402.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11004.9 km", + "Step 4: Calculate detour", + " Detour = 11004.9 - 6402.0 = 4602.8 km", + " Detour % = (4602.8 / 6402.0) × 100 = 71.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 71.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -17.26417, + "lon": 38.135, + "name": "Pebane" + }, + "end": { + "lat": 2.14838, + "lon": 27.99466, + "name": "Wamba" + }, + "waypoint": { + "lat": 19.02867, + "lon": -98.27698, + "name": "San Bernardino Tlaxcalancingo" + }, + "question": "Is San Bernardino Tlaxcalancingo approximately on the direct path from Pebane to Wamba?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2428.2, + "via_waypoint_km": 29109.2, + "detour_km": 26681.0, + "detour_percent": 1098.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Pebane", + " End: Wamba", + " Waypoint: San Bernardino Tlaxcalancingo", + "Step 2: Calculate direct distance", + " Start → End: 2428.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 29109.2 km", + "Step 4: Calculate detour", + " Detour = 29109.2 - 2428.2 = 26681.0 km", + " Detour % = (26681.0 / 2428.2) × 100 = 1098.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1098.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 41.39989, + "lon": 2.12931, + "name": "Las Tres Torres" + }, + "end": { + "lat": 50.0416, + "lon": 14.44573, + "name": "Krč" + }, + "waypoint": { + "lat": -12.09655, + "lon": -77.04258, + "name": "San Isidro" + }, + "question": "Is San Isidro approximately on the direct path from Las Tres Torres to Krč?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1352.2, + "via_waypoint_km": 21153.4, + "detour_km": 19801.2, + "detour_percent": 1464.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Las Tres Torres", + " End: Krč", + " Waypoint: San Isidro", + "Step 2: Calculate direct distance", + " Start → End: 1352.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21153.4 km", + "Step 4: Calculate detour", + " Detour = 21153.4 - 1352.2 = 19801.2 km", + " Detour % = (19801.2 / 1352.2) × 100 = 1464.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1464.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.58597, + "lon": -79.39502, + "name": "Danville" + }, + "end": { + "lat": 33.35, + "lon": 130.68333, + "name": "Tanushimarumachi-toyoki" + }, + "waypoint": { + "lat": 40.9519, + "lon": 117.95883, + "name": "Chengde" + }, + "question": "Is Chengde approximately on the direct path from Danville to Tanushimarumachi-toyoki?", + "ground_truth": { + "answer": true, + "direct_distance_km": 11635.5, + "via_waypoint_km": 12620.6, + "detour_km": 985.1, + "detour_percent": 8.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Danville", + " End: Tanushimarumachi-toyoki", + " Waypoint: Chengde", + "Step 2: Calculate direct distance", + " Start → End: 11635.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12620.6 km", + "Step 4: Calculate detour", + " Detour = 12620.6 - 11635.5 = 985.1 km", + " Detour % = (985.1 / 11635.5) × 100 = 8.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 8.5% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -23.39611, + "lon": -46.32083, + "name": "Arujá" + }, + "end": { + "lat": 41.56232, + "lon": -72.65065, + "name": "Middletown" + }, + "waypoint": { + "lat": 47.47803, + "lon": 19.1479, + "name": "Óhegy" + }, + "question": "Is Óhegy approximately on the direct path from Arujá to Middletown?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7715.6, + "via_waypoint_km": 17099.2, + "detour_km": 9383.6, + "detour_percent": 121.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Arujá", + " End: Middletown", + " Waypoint: Óhegy", + "Step 2: Calculate direct distance", + " Start → End: 7715.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17099.2 km", + "Step 4: Calculate detour", + " Detour = 17099.2 - 7715.6 = 9383.6 km", + " Detour % = (9383.6 / 7715.6) × 100 = 121.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 121.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -24.53333, + "lon": 32.98333, + "name": "Chokwé" + }, + "end": { + "lat": 40.76461, + "lon": 72.97647, + "name": "Sultonobod" + }, + "waypoint": { + "lat": 60.84972, + "lon": 23.0561, + "name": "Loimaa" + }, + "question": "Is Loimaa approximately on the direct path from Chokwé to Sultonobod?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8353.2, + "via_waypoint_km": 13552.9, + "detour_km": 5199.6, + "detour_percent": 62.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Chokwé", + " End: Sultonobod", + " Waypoint: Loimaa", + "Step 2: Calculate direct distance", + " Start → End: 8353.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13552.9 km", + "Step 4: Calculate detour", + " Detour = 13552.9 - 8353.2 = 5199.6 km", + " Detour % = (5199.6 / 8353.2) × 100 = 62.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 62.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -2.88, + "lon": -52.01, + "name": "Vitória do Xingu" + }, + "end": { + "lat": -34.65072, + "lon": -59.43143, + "name": "Mercedes" + }, + "waypoint": { + "lat": 53.00543, + "lon": 11.75032, + "name": "Wittenberge" + }, + "question": "Is Wittenberge approximately on the direct path from Vitória do Xingu to Mercedes?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3615.2, + "via_waypoint_km": 20469.5, + "detour_km": 16854.4, + "detour_percent": 466.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Vitória do Xingu", + " End: Mercedes", + " Waypoint: Wittenberge", + "Step 2: Calculate direct distance", + " Start → End: 3615.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20469.5 km", + "Step 4: Calculate detour", + " Detour = 20469.5 - 3615.2 = 16854.4 km", + " Detour % = (16854.4 / 3615.2) × 100 = 466.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 466.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -27.94402, + "lon": 153.39815, + "name": "Labrador" + }, + "end": { + "lat": 12.98417, + "lon": 37.04417, + "name": "Tikil Dingay" + }, + "waypoint": { + "lat": 18.43117, + "lon": -72.86521, + "name": "Tigwav" + }, + "question": "Is Tigwav approximately on the direct path from Labrador to Tikil Dingay?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13251.2, + "via_waypoint_km": 26774.8, + "detour_km": 13523.6, + "detour_percent": 102.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Labrador", + " End: Tikil Dingay", + " Waypoint: Tigwav", + "Step 2: Calculate direct distance", + " Start → End: 13251.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26774.8 km", + "Step 4: Calculate detour", + " Detour = 26774.8 - 13251.2 = 13523.6 km", + " Detour % = (13523.6 / 13251.2) × 100 = 102.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 102.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 38.47917, + "lon": -1.325, + "name": "Jumilla" + }, + "end": { + "lat": 28.12271, + "lon": -16.726, + "name": "Adeje" + }, + "waypoint": { + "lat": 4.61889, + "lon": -75.63583, + "name": "Circasia" + }, + "question": "Is Circasia approximately on the direct path from Jumilla to Adeje?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1832.6, + "via_waypoint_km": 15055.6, + "detour_km": 13223.1, + "detour_percent": 721.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Jumilla", + " End: Adeje", + " Waypoint: Circasia", + "Step 2: Calculate direct distance", + " Start → End: 1832.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15055.6 km", + "Step 4: Calculate detour", + " Detour = 15055.6 - 1832.6 = 13223.1 km", + " Detour % = (13223.1 / 1832.6) × 100 = 721.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 721.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 39.0215, + "lon": 48.0801, + "name": "Germī" + }, + "end": { + "lat": -12.78636, + "lon": 45.21732, + "name": "Mtsapéré" + }, + "waypoint": { + "lat": -26.07361, + "lon": -53.72528, + "name": "Santo Antônio do Sudoeste" + }, + "question": "Is Santo Antônio do Sudoeste approximately on the direct path from Germī to Mtsapéré?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5768.4, + "via_waypoint_km": 23020.9, + "detour_km": 17252.5, + "detour_percent": 299.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Germī", + " End: Mtsapéré", + " Waypoint: Santo Antônio do Sudoeste", + "Step 2: Calculate direct distance", + " Start → End: 5768.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23020.9 km", + "Step 4: Calculate detour", + " Detour = 23020.9 - 5768.4 = 17252.5 km", + " Detour % = (17252.5 / 5768.4) × 100 = 299.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 299.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 1.3278, + "lon": 172.97696, + "name": "Tarawa" + }, + "end": { + "lat": 27.29636, + "lon": 75.18665, + "name": "Danta" + }, + "waypoint": { + "lat": 52.25221, + "lon": 21.26902, + "name": "Sulejówek" + }, + "question": "Is Sulejówek approximately on the direct path from Tarawa to Danta?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10708.5, + "via_waypoint_km": 18713.2, + "detour_km": 8004.8, + "detour_percent": 74.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tarawa", + " End: Danta", + " Waypoint: Sulejówek", + "Step 2: Calculate direct distance", + " Start ��� End: 10708.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18713.2 km", + "Step 4: Calculate detour", + " Detour = 18713.2 - 10708.5 = 8004.8 km", + " Detour % = (8004.8 / 10708.5) × 100 = 74.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 74.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 23.15794, + "lon": -82.27837, + "name": "Alamar" + }, + "end": { + "lat": -36.8382, + "lon": 174.61019, + "name": "Massey" + }, + "waypoint": { + "lat": 37.43055, + "lon": 140.60335, + "name": "Tamura" + }, + "question": "Is Tamura approximately on the direct path from Alamar to Massey?", + "ground_truth": { + "answer": false, + "direct_distance_km": 12648.2, + "via_waypoint_km": 20889.9, + "detour_km": 8241.7, + "detour_percent": 65.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Alamar", + " End: Massey", + " Waypoint: Tamura", + "Step 2: Calculate direct distance", + " Start → End: 12648.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20889.9 km", + "Step 4: Calculate detour", + " Detour = 20889.9 - 12648.2 = 8241.7 km", + " Detour % = (8241.7 / 12648.2) × 100 = 65.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 65.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 59.51404, + "lon": 15.99255, + "name": "Köping" + }, + "end": { + "lat": -2.3541, + "lon": 29.0298, + "name": "Nyabitekeli" + }, + "waypoint": { + "lat": 29.70523, + "lon": -95.12382, + "name": "Deer Park" + }, + "question": "Is Deer Park approximately on the direct path from Köping to Nyabitekeli?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6973.5, + "via_waypoint_km": 21676.4, + "detour_km": 14703.0, + "detour_percent": 210.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Köping", + " End: Nyabitekeli", + " Waypoint: Deer Park", + "Step 2: Calculate direct distance", + " Start → End: 6973.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21676.4 km", + "Step 4: Calculate detour", + " Detour = 21676.4 - 6973.5 = 14703.0 km", + " Detour % = (14703.0 / 6973.5) × 100 = 210.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 210.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 25.08358, + "lon": 85.42804, + "name": "Silao" + }, + "end": { + "lat": 36.18333, + "lon": 139.71667, + "name": "Koga" + }, + "waypoint": { + "lat": 36.24483, + "lon": 137.17323, + "name": "Hida" + }, + "question": "Is Hida approximately on the direct path from Silao to Koga?", + "ground_truth": { + "answer": true, + "direct_distance_km": 5269.8, + "via_waypoint_km": 5269.8, + "detour_km": 0.0, + "detour_percent": 0.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Silao", + " End: Koga", + " Waypoint: Hida", + "Step 2: Calculate direct distance", + " Start → End: 5269.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 5269.8 km", + "Step 4: Calculate detour", + " Detour = 5269.8 - 5269.8 = 0.0 km", + " Detour % = (0.0 / 5269.8) × 100 = 0.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.0% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 4.9353, + "lon": -6.77828, + "name": "Watté" + }, + "end": { + "lat": 45.07246, + "lon": -93.45579, + "name": "Maple Grove" + }, + "waypoint": { + "lat": 50.64358, + "lon": 2.98715, + "name": "Lomme" + }, + "question": "Is Lomme approximately on the direct path from Watté to Maple Grove?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9358.6, + "via_waypoint_km": 11855.9, + "detour_km": 2497.3, + "detour_percent": 26.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Watté", + " End: Maple Grove", + " Waypoint: Lomme", + "Step 2: Calculate direct distance", + " Start → End: 9358.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11855.9 km", + "Step 4: Calculate detour", + " Detour = 11855.9 - 9358.6 = 2497.3 km", + " Detour % = (2497.3 / 9358.6) × 100 = 26.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 26.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -9.44112, + "lon": 159.97002, + "name": "Kola'a" + }, + "end": { + "lat": 18.70636, + "lon": 77.36795, + "name": "Mukher" + }, + "waypoint": { + "lat": 42.06454, + "lon": -72.51259, + "name": "East Longmeadow" + }, + "question": "Is East Longmeadow approximately on the direct path from Kola'a to Mukher?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9575.9, + "via_waypoint_km": 26346.1, + "detour_km": 16770.2, + "detour_percent": 175.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kola'a", + " End: Mukher", + " Waypoint: East Longmeadow", + "Step 2: Calculate direct distance", + " Start → End: 9575.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26346.1 km", + "Step 4: Calculate detour", + " Detour = 26346.1 - 9575.9 = 16770.2 km", + " Detour % = (16770.2 / 9575.9) × 100 = 175.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 175.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 43.3665, + "lon": -124.21789, + "name": "Coos Bay" + }, + "end": { + "lat": 4.76145, + "lon": 6.74957, + "name": "Degema Hulk" + }, + "waypoint": { + "lat": 41.70643, + "lon": 15.7277, + "name": "San Giovanni Rotondo" + }, + "question": "Is San Giovanni Rotondo approximately on the direct path from Coos Bay to Degema Hulk?", + "ground_truth": { + "answer": true, + "direct_distance_km": 12754.9, + "via_waypoint_km": 13947.3, + "detour_km": 1192.5, + "detour_percent": 9.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Coos Bay", + " End: Degema Hulk", + " Waypoint: San Giovanni Rotondo", + "Step 2: Calculate direct distance", + " Start → End: 12754.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13947.3 km", + "Step 4: Calculate detour", + " Detour = 13947.3 - 12754.9 = 1192.5 km", + " Detour % = (1192.5 / 12754.9) × 100 = 9.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 9.3% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -15.90864, + "lon": -48.06447, + "name": "Recanto das Emas" + }, + "end": { + "lat": 40.94871, + "lon": -73.73263, + "name": "Mamaroneck" + }, + "waypoint": { + "lat": 41.52364, + "lon": -90.57764, + "name": "Davenport" + }, + "question": "Is Davenport approximately on the direct path from Recanto das Emas to Mamaroneck?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6853.8, + "via_waypoint_km": 9143.9, + "detour_km": 2290.1, + "detour_percent": 33.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Recanto das Emas", + " End: Mamaroneck", + " Waypoint: Davenport", + "Step 2: Calculate direct distance", + " Start → End: 6853.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9143.9 km", + "Step 4: Calculate detour", + " Detour = 9143.9 - 6853.8 = 2290.1 km", + " Detour % = (2290.1 / 6853.8) × 100 = 33.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 33.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -27.56056, + "lon": 151.95386, + "name": "Toowoomba" + }, + "end": { + "lat": -4.62778, + "lon": -43.47056, + "name": "Aldeias Altas" + }, + "waypoint": { + "lat": 32.49257, + "lon": 20.82909, + "name": "Al Marj" + }, + "question": "Is Al Marj approximately on the direct path from Toowoomba to Aldeias Altas?", + "ground_truth": { + "answer": false, + "direct_distance_km": 16071.6, + "via_waypoint_km": 23242.2, + "detour_km": 7170.6, + "detour_percent": 44.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Toowoomba", + " End: Aldeias Altas", + " Waypoint: Al Marj", + "Step 2: Calculate direct distance", + " Start → End: 16071.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23242.2 km", + "Step 4: Calculate detour", + " Detour = 23242.2 - 16071.6 = 7170.6 km", + " Detour % = (7170.6 / 16071.6) × 100 = 44.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 44.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 53.7972, + "lon": 12.17337, + "name": "Güstrow" + }, + "end": { + "lat": 59.19858, + "lon": 17.83317, + "name": "Tumba" + }, + "waypoint": { + "lat": 52.38084, + "lon": 4.63683, + "name": "Haarlem" + }, + "question": "Is Haarlem approximately on the direct path from Güstrow to Tumba?", + "ground_truth": { + "answer": false, + "direct_distance_km": 693.3, + "via_waypoint_km": 1643.9, + "detour_km": 950.6, + "detour_percent": 137.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Güstrow", + " End: Tumba", + " Waypoint: Haarlem", + "Step 2: Calculate direct distance", + " Start → End: 693.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 1643.9 km", + "Step 4: Calculate detour", + " Detour = 1643.9 - 693.3 = 950.6 km", + " Detour % = (950.6 / 693.3) × 100 = 137.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 137.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 43.25347, + "lon": -2.9161, + "name": "Santutxu" + }, + "end": { + "lat": 55.52771, + "lon": 45.45679, + "name": "Sergach" + }, + "waypoint": { + "lat": 58.37884, + "lon": 42.34633, + "name": "Galich" + }, + "question": "Is Galich approximately on the direct path from Santutxu to Sergach?", + "ground_truth": { + "answer": true, + "direct_distance_km": 3668.6, + "via_waypoint_km": 3875.9, + "detour_km": 207.4, + "detour_percent": 5.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Santutxu", + " End: Sergach", + " Waypoint: Galich", + "Step 2: Calculate direct distance", + " Start → End: 3668.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 3875.9 km", + "Step 4: Calculate detour", + " Detour = 3875.9 - 3668.6 = 207.4 km", + " Detour % = (207.4 / 3668.6) × 100 = 5.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 5.7% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.24827, + "lon": -8.41549, + "name": "Eiras" + }, + "end": { + "lat": 32.42389, + "lon": -116.97167, + "name": "Villa del Prado 2da Sección" + }, + "waypoint": { + "lat": 9.76806, + "lon": 1.10528, + "name": "Niamtougou" + }, + "question": "Is Niamtougou approximately on the direct path from Eiras to Villa del Prado 2da Sección?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9103.7, + "via_waypoint_km": 15469.7, + "detour_km": 6366.0, + "detour_percent": 69.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Eiras", + " End: Villa del Prado 2da Sección", + " Waypoint: Niamtougou", + "Step 2: Calculate direct distance", + " Start → End: 9103.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15469.7 km", + "Step 4: Calculate detour", + " Detour = 15469.7 - 9103.7 = 6366.0 km", + " Detour % = (6366.0 / 9103.7) × 100 = 69.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 69.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 3.73335, + "lon": 98.45025, + "name": "Stabat" + }, + "end": { + "lat": 20.79729, + "lon": -103.47712, + "name": "San Francisco Tesistán" + }, + "waypoint": { + "lat": -19.88, + "lon": -43.66972, + "name": "Caeté" + }, + "question": "Is Caeté approximately on the direct path from Stabat to San Francisco Tesistán?", + "ground_truth": { + "answer": false, + "direct_distance_km": 16387.8, + "via_waypoint_km": 23458.5, + "detour_km": 7070.7, + "detour_percent": 43.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Stabat", + " End: San Francisco Tesistán", + " Waypoint: Caeté", + "Step 2: Calculate direct distance", + " Start → End: 16387.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23458.5 km", + "Step 4: Calculate detour", + " Detour = 23458.5 - 16387.8 = 7070.7 km", + " Detour % = (7070.7 / 16387.8) × 100 = 43.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 43.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 42.1103, + "lon": -88.03424, + "name": "Palatine" + }, + "end": { + "lat": 21.02374, + "lon": 105.8036, + "name": "Láng Thượng" + }, + "waypoint": { + "lat": 23.5418, + "lon": 110.38929, + "name": "Pingnan" + }, + "question": "Is Pingnan approximately on the direct path from Palatine to Láng Thượng?", + "ground_truth": { + "answer": true, + "direct_distance_km": 12852.2, + "via_waypoint_km": 13021.7, + "detour_km": 169.6, + "detour_percent": 1.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Palatine", + " End: Láng Thượng", + " Waypoint: Pingnan", + "Step 2: Calculate direct distance", + " Start → End: 12852.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13021.7 km", + "Step 4: Calculate detour", + " Detour = 13021.7 - 12852.2 = 169.6 km", + " Detour % = (169.6 / 12852.2) × 100 = 1.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1.3% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -9.43215, + "lon": 160.00607, + "name": "Panatina" + }, + "end": { + "lat": -38.17058, + "lon": 144.3114, + "name": "Highton" + }, + "waypoint": { + "lat": -22.70861, + "lon": -42.60972, + "name": "Rio Bonito" + }, + "question": "Is Rio Bonito approximately on the direct path from Panatina to Highton?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3559.9, + "via_waypoint_km": 28881.8, + "detour_km": 25321.9, + "detour_percent": 711.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Panatina", + " End: Highton", + " Waypoint: Rio Bonito", + "Step 2: Calculate direct distance", + " Start → End: 3559.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 28881.8 km", + "Step 4: Calculate detour", + " Detour = 28881.8 - 3559.9 = 25321.9 km", + " Detour % = (25321.9 / 3559.9) × 100 = 711.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 711.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -37.92845, + "lon": 145.17708, + "name": "Mulgrave" + }, + "end": { + "lat": -8.83417, + "lon": -48.51028, + "name": "Guaraí" + }, + "waypoint": { + "lat": 45.09228, + "lon": 7.69399, + "name": "Barriera di Milano" + }, + "question": "Is Barriera di Milano approximately on the direct path from Mulgrave to Guaraí?", + "ground_truth": { + "answer": false, + "direct_distance_km": 14624.4, + "via_waypoint_km": 24634.2, + "detour_km": 10009.8, + "detour_percent": 68.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mulgrave", + " End: Guaraí", + " Waypoint: Barriera di Milano", + "Step 2: Calculate direct distance", + " Start → End: 14624.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24634.2 km", + "Step 4: Calculate detour", + " Detour = 24634.2 - 14624.4 = 10009.8 km", + " Detour % = (10009.8 / 14624.4) × 100 = 68.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 68.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 41.44987, + "lon": -72.81892, + "name": "Wallingford Center" + }, + "end": { + "lat": 1.67444, + "lon": 31.715, + "name": "Masindi" + }, + "waypoint": { + "lat": 33.44976, + "lon": -7.65239, + "name": "Bouskoura" + }, + "question": "Is Bouskoura approximately on the direct path from Wallingford Center to Masindi?", + "ground_truth": { + "answer": true, + "direct_distance_km": 11087.3, + "via_waypoint_km": 11093.4, + "detour_km": 6.0, + "detour_percent": 0.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Wallingford Center", + " End: Masindi", + " Waypoint: Bouskoura", + "Step 2: Calculate direct distance", + " Start → End: 11087.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11093.4 km", + "Step 4: Calculate detour", + " Detour = 11093.4 - 11087.3 = 6.0 km", + " Detour % = (6.0 / 11087.3) × 100 = 0.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.1% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 45.49818, + "lon": -122.43148, + "name": "Gresham" + }, + "end": { + "lat": -23.69389, + "lon": -46.565, + "name": "São Bernardo do Campo" + }, + "waypoint": { + "lat": 35.13333, + "lon": 136.8, + "name": "Kanie" + }, + "question": "Is Kanie approximately on the direct path from Gresham to São Bernardo do Campo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10837.4, + "via_waypoint_km": 26746.2, + "detour_km": 15908.9, + "detour_percent": 146.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Gresham", + " End: São Bernardo do Campo", + " Waypoint: Kanie", + "Step 2: Calculate direct distance", + " Start → End: 10837.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26746.2 km", + "Step 4: Calculate detour", + " Detour = 26746.2 - 10837.4 = 15908.9 km", + " Detour % = (15908.9 / 10837.4) × 100 = 146.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 146.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -1.3953, + "lon": 36.764, + "name": "Ongata Rongai" + }, + "end": { + "lat": 47.50564, + "lon": 8.72413, + "name": "Winterthur" + }, + "waypoint": { + "lat": -29.19167, + "lon": -54.86722, + "name": "Santiago" + }, + "question": "Is Santiago approximately on the direct path from Ongata Rongai to Winterthur?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6080.5, + "via_waypoint_km": 20718.8, + "detour_km": 14638.3, + "detour_percent": 240.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ongata Rongai", + " End: Winterthur", + " Waypoint: Santiago", + "Step 2: Calculate direct distance", + " Start → End: 6080.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20718.8 km", + "Step 4: Calculate detour", + " Detour = 20718.8 - 6080.5 = 14638.3 km", + " Detour % = (14638.3 / 6080.5) × 100 = 240.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 240.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -0.9961, + "lon": -77.81315, + "name": "Tena" + }, + "end": { + "lat": 32.89964, + "lon": 130.68898, + "name": "Uekimachi-mōno" + }, + "waypoint": { + "lat": -7.23116, + "lon": 12.8666, + "name": "Ambrizette" + }, + "question": "Is Ambrizette approximately on the direct path from Tena to Uekimachi-mōno?", + "ground_truth": { + "answer": false, + "direct_distance_km": 15383.6, + "via_waypoint_km": 23100.9, + "detour_km": 7717.3, + "detour_percent": 50.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tena", + " End: Uekimachi-mōno", + " Waypoint: Ambrizette", + "Step 2: Calculate direct distance", + " Start → End: 15383.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23100.9 km", + "Step 4: Calculate detour", + " Detour = 23100.9 - 15383.6 = 7717.3 km", + " Detour % = (7717.3 / 15383.6) × 100 = 50.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 50.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 9.94578, + "lon": 78.09352, + "name": "Vilāngudi" + }, + "end": { + "lat": 8.97092, + "lon": -79.54612, + "name": "Curundú" + }, + "waypoint": { + "lat": 52.01667, + "lon": 4.70833, + "name": "Gouda" + }, + "question": "Is Gouda approximately on the direct path from Vilāngudi to Curundú?", + "ground_truth": { + "answer": true, + "direct_distance_km": 16767.1, + "via_waypoint_km": 16833.1, + "detour_km": 66.1, + "detour_percent": 0.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Vilāngudi", + " End: Curundú", + " Waypoint: Gouda", + "Step 2: Calculate direct distance", + " Start → End: 16767.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16833.1 km", + "Step 4: Calculate detour", + " Detour = 16833.1 - 16767.1 = 66.1 km", + " Detour % = (66.1 / 16767.1) × 100 = 0.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.4% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 8.65972, + "lon": -75.12809, + "name": "San Marcos" + }, + "end": { + "lat": -28.72472, + "lon": -52.84972, + "name": "Espumoso" + }, + "waypoint": { + "lat": -25.22435, + "lon": 25.67728, + "name": "Lobatse" + }, + "question": "Is Lobatse approximately on the direct path from San Marcos to Espumoso?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4795.3, + "via_waypoint_km": 19141.6, + "detour_km": 14346.3, + "detour_percent": 299.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: San Marcos", + " End: Espumoso", + " Waypoint: Lobatse", + "Step 2: Calculate direct distance", + " Start → End: 4795.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19141.6 km", + "Step 4: Calculate detour", + " Detour = 19141.6 - 4795.3 = 14346.3 km", + " Detour % = (14346.3 / 4795.3) × 100 = 299.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 299.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 33.99722, + "lon": -6.74047, + "name": "Salé Al Jadida" + }, + "end": { + "lat": 40.20686, + "lon": -8.41996, + "name": "Coimbra" + }, + "waypoint": { + "lat": 35.96667, + "lon": 140.13333, + "name": "Ushiku" + }, + "question": "Is Ushiku approximately on the direct path from Salé Al Jadida to Coimbra?", + "ground_truth": { + "answer": false, + "direct_distance_km": 706.3, + "via_waypoint_km": 22464.6, + "detour_km": 21758.2, + "detour_percent": 3080.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Salé Al Jadida", + " End: Coimbra", + " Waypoint: Ushiku", + "Step 2: Calculate direct distance", + " Start → End: 706.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22464.6 km", + "Step 4: Calculate detour", + " Detour = 22464.6 - 706.3 = 21758.2 km", + " Detour % = (21758.2 / 706.3) × 100 = 3080.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 3080.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 10.26858, + "lon": 13.26701, + "name": "Mubi" + }, + "end": { + "lat": -37.69863, + "lon": 144.78631, + "name": "Taylors Lakes" + }, + "waypoint": { + "lat": 41.05562, + "lon": 16.70321, + "name": "Palo del Colle" + }, + "question": "Is Palo del Colle approximately on the direct path from Mubi to Taylors Lakes?", + "ground_truth": { + "answer": false, + "direct_distance_km": 14309.6, + "via_waypoint_km": 19043.1, + "detour_km": 4733.5, + "detour_percent": 33.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mubi", + " End: Taylors Lakes", + " Waypoint: Palo del Colle", + "Step 2: Calculate direct distance", + " Start → End: 14309.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19043.1 km", + "Step 4: Calculate detour", + " Detour = 19043.1 - 14309.6 = 4733.5 km", + " Detour % = (4733.5 / 14309.6) × 100 = 33.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 33.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 26.32599, + "lon": 43.97497, + "name": "Buraydah" + }, + "end": { + "lat": 2.428, + "lon": 102.6801, + "name": "Taman Pelangi" + }, + "waypoint": { + "lat": -19.00083, + "lon": -46.31611, + "name": "Carmo do Paranaíba" + }, + "question": "Is Carmo do Paranaíba approximately on the direct path from Buraydah to Taman Pelangi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6789.2, + "via_waypoint_km": 27130.2, + "detour_km": 20340.9, + "detour_percent": 299.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Buraydah", + " End: Taman Pelangi", + " Waypoint: Carmo do Paranaíba", + "Step 2: Calculate direct distance", + " Start → End: 6789.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27130.2 km", + "Step 4: Calculate detour", + " Detour = 27130.2 - 6789.2 = 20340.9 km", + " Detour % = (20340.9 / 6789.2) × 100 = 299.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 299.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 35.31292, + "lon": 69.51519, + "name": "Bāzārak" + }, + "end": { + "lat": -10.06806, + "lon": -78.15222, + "name": "Huarmey" + }, + "waypoint": { + "lat": -14.61944, + "lon": -57.48583, + "name": "Tangará da Serra" + }, + "question": "Is Tangará da Serra approximately on the direct path from Bāzārak to Huarmey?", + "ground_truth": { + "answer": true, + "direct_distance_km": 15706.7, + "via_waypoint_km": 16577.0, + "detour_km": 870.3, + "detour_percent": 5.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bāzārak", + " End: Huarmey", + " Waypoint: Tangará da Serra", + "Step 2: Calculate direct distance", + " Start → End: 15706.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16577.0 km", + "Step 4: Calculate detour", + " Detour = 16577.0 - 15706.7 = 870.3 km", + " Detour % = (870.3 / 15706.7) × 100 = 5.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 5.5% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 52.86147, + "lon": 9.5926, + "name": "Walsrode" + }, + "end": { + "lat": 1.50434, + "lon": 103.87525, + "name": "Bandar Seri Alam" + }, + "waypoint": { + "lat": 5.02208, + "lon": -74.00481, + "name": "Zipaquirá" + }, + "question": "Is Zipaquirá approximately on the direct path from Walsrode to Bandar Seri Alam?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10161.4, + "via_waypoint_km": 28385.0, + "detour_km": 18223.7, + "detour_percent": 179.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Walsrode", + " End: Bandar Seri Alam", + " Waypoint: Zipaquirá", + "Step 2: Calculate direct distance", + " Start → End: 10161.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 28385.0 km", + "Step 4: Calculate detour", + " Detour = 28385.0 - 10161.4 = 18223.7 km", + " Detour % = (18223.7 / 10161.4) × 100 = 179.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 179.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 14.20226, + "lon": 36.75955, + "name": "Adebaye" + }, + "end": { + "lat": -3.45, + "lon": 33.95, + "name": "Lalago" + }, + "waypoint": { + "lat": -16.47583, + "lon": -43.48833, + "name": "Francisco Sá" + }, + "question": "Is Francisco Sá approximately on the direct path from Adebaye to Lalago?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1987.1, + "via_waypoint_km": 18007.0, + "detour_km": 16019.8, + "detour_percent": 806.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Adebaye", + " End: Lalago", + " Waypoint: Francisco Sá", + "Step 2: Calculate direct distance", + " Start → End: 1987.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18007.0 km", + "Step 4: Calculate detour", + " Detour = 18007.0 - 1987.1 = 16019.8 km", + " Detour % = (16019.8 / 1987.1) × 100 = 806.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 806.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 28.55207, + "lon": 70.46837, + "name": "Kot Samaba" + }, + "end": { + "lat": -5.63333, + "lon": 32.76667, + "name": "Sikonge" + }, + "waypoint": { + "lat": -9.335, + "lon": -50.35, + "name": "Santana do Araguaia" + }, + "question": "Is Santana do Araguaia approximately on the direct path from Kot Samaba to Sikonge?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5543.8, + "via_waypoint_km": 22657.1, + "detour_km": 17113.3, + "detour_percent": 308.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kot Samaba", + " End: Sikonge", + " Waypoint: Santana do Araguaia", + "Step 2: Calculate direct distance", + " Start → End: 5543.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22657.1 km", + "Step 4: Calculate detour", + " Detour = 22657.1 - 5543.8 = 17113.3 km", + " Detour % = (17113.3 / 5543.8) × 100 = 308.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 308.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 58.32007, + "lon": 82.90295, + "name": "Kolpashevo" + }, + "end": { + "lat": 55.64776, + "lon": 38.02486, + "name": "Malakhovka" + }, + "waypoint": { + "lat": 20.29879, + "lon": -76.24511, + "name": "Contramaestre" + }, + "question": "Is Contramaestre approximately on the direct path from Kolpashevo to Malakhovka?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2684.1, + "via_waypoint_km": 20632.5, + "detour_km": 17948.4, + "detour_percent": 668.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kolpashevo", + " End: Malakhovka", + " Waypoint: Contramaestre", + "Step 2: Calculate direct distance", + " Start → End: 2684.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20632.5 km", + "Step 4: Calculate detour", + " Detour = 20632.5 - 2684.1 = 17948.4 km", + " Detour % = (17948.4 / 2684.1) × 100 = 668.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 668.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -38.09968, + "lon": 145.17248, + "name": "Carrum Downs" + }, + "end": { + "lat": -24.08204, + "lon": -54.24622, + "name": "Guaíra" + }, + "waypoint": { + "lat": 32.70438, + "lon": 74.86114, + "name": "Jammu Cantonment" + }, + "question": "Is Jammu Cantonment approximately on the direct path from Carrum Downs to Guaíra?", + "ground_truth": { + "answer": false, + "direct_distance_km": 12809.8, + "via_waypoint_km": 25704.4, + "detour_km": 12894.6, + "detour_percent": 100.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Carrum Downs", + " End: Guaíra", + " Waypoint: Jammu Cantonment", + "Step 2: Calculate direct distance", + " Start → End: 12809.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25704.4 km", + "Step 4: Calculate detour", + " Detour = 25704.4 - 12809.8 = 12894.6 km", + " Detour % = (12894.6 / 12809.8) × 100 = 100.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 100.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -21.60333, + "lon": -48.36583, + "name": "Matão" + }, + "end": { + "lat": 38.99167, + "lon": -94.63357, + "name": "Prairie Village" + }, + "waypoint": { + "lat": 52.075, + "lon": 4.65556, + "name": "Boskoop" + }, + "question": "Is Boskoop approximately on the direct path from Matão to Prairie Village?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8279.7, + "via_waypoint_km": 16919.3, + "detour_km": 8639.6, + "detour_percent": 104.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Matão", + " End: Prairie Village", + " Waypoint: Boskoop", + "Step 2: Calculate direct distance", + " Start → End: 8279.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16919.3 km", + "Step 4: Calculate detour", + " Detour = 16919.3 - 8279.7 = 8639.6 km", + " Detour % = (8639.6 / 8279.7) × 100 = 104.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 104.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -22.50222, + "lon": -48.71139, + "name": "Macatuba" + }, + "end": { + "lat": -23.56338, + "lon": -46.63228, + "name": "Liberdade" + }, + "waypoint": { + "lat": 1.32639, + "lon": 103.94167, + "name": "Bedok New Town" + }, + "question": "Is Bedok New Town approximately on the direct path from Macatuba to Liberdade?", + "ground_truth": { + "answer": false, + "direct_distance_km": 243.3, + "via_waypoint_km": 32231.6, + "detour_km": 31988.3, + "detour_percent": 13148.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Macatuba", + " End: Liberdade", + " Waypoint: Bedok New Town", + "Step 2: Calculate direct distance", + " Start → End: 243.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 32231.6 km", + "Step 4: Calculate detour", + " Detour = 32231.6 - 243.3 = 31988.3 km", + " Detour % = (31988.3 / 243.3) × 100 = 13148.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 13148.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 22.36667, + "lon": 114.05, + "name": "Sham Tseng" + }, + "end": { + "lat": 4.98218, + "lon": -7.06024, + "name": "Gnépasso" + }, + "waypoint": { + "lat": 25.05, + "lon": -77.41667, + "name": "Killarney" + }, + "question": "Is Killarney approximately on the direct path from Sham Tseng to Gnépasso?", + "ground_truth": { + "answer": false, + "direct_distance_km": 12931.2, + "via_waypoint_km": 22395.6, + "detour_km": 9464.4, + "detour_percent": 73.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sham Tseng", + " End: Gnépasso", + " Waypoint: Killarney", + "Step 2: Calculate direct distance", + " Start → End: 12931.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22395.6 km", + "Step 4: Calculate detour", + " Detour = 22395.6 - 12931.2 = 9464.4 km", + " Detour % = (9464.4 / 12931.2) × 100 = 73.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 73.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -9.78111, + "lon": -36.09361, + "name": "São Miguel dos Campos" + }, + "end": { + "lat": -3.60722, + "lon": -38.96833, + "name": "São Gonçalo do Amarante" + }, + "waypoint": { + "lat": 8.7333, + "lon": 76.7167, + "name": "Varkala" + }, + "question": "Is Varkala approximately on the direct path from São Miguel dos Campos to São Gonçalo do Amarante?", + "ground_truth": { + "answer": false, + "direct_distance_km": 756.3, + "via_waypoint_km": 25542.7, + "detour_km": 24786.4, + "detour_percent": 3277.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: São Miguel dos Campos", + " End: São Gonçalo do Amarante", + " Waypoint: Varkala", + "Step 2: Calculate direct distance", + " Start → End: 756.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25542.7 km", + "Step 4: Calculate detour", + " Detour = 25542.7 - 756.3 = 24786.4 km", + " Detour % = (24786.4 / 756.3) × 100 = 3277.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 3277.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 19.03689, + "lon": -98.79516, + "name": "Ozumba de Alzate" + }, + "end": { + "lat": -27.61025, + "lon": 153.05388, + "name": "Sunnybank Hills" + }, + "waypoint": { + "lat": 7.50077, + "lon": 134.6238, + "name": "Ngerulmud" + }, + "question": "Is Ngerulmud approximately on the direct path from Ozumba de Alzate to Sunnybank Hills?", + "ground_truth": { + "answer": false, + "direct_distance_km": 12713.8, + "via_waypoint_km": 17840.1, + "detour_km": 5126.3, + "detour_percent": 40.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ozumba de Alzate", + " End: Sunnybank Hills", + " Waypoint: Ngerulmud", + "Step 2: Calculate direct distance", + " Start → End: 12713.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17840.1 km", + "Step 4: Calculate detour", + " Detour = 17840.1 - 12713.8 = 5126.3 km", + " Detour % = (5126.3 / 12713.8) × 100 = 40.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 40.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 24.13524, + "lon": 74.04442, + "name": "Sālūmbar" + }, + "end": { + "lat": 34.8, + "lon": 134.98333, + "name": "Miki" + }, + "waypoint": { + "lat": 50.36463, + "lon": 8.73859, + "name": "Bad Nauheim" + }, + "question": "Is Bad Nauheim approximately on the direct path from Sālūmbar to Miki?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5928.8, + "via_waypoint_km": 15413.4, + "detour_km": 9484.6, + "detour_percent": 160.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sālūmbar", + " End: Miki", + " Waypoint: Bad Nauheim", + "Step 2: Calculate direct distance", + " Start → End: 5928.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15413.4 km", + "Step 4: Calculate detour", + " Detour = 15413.4 - 5928.8 = 9484.6 km", + " Detour % = (9484.6 / 5928.8) × 100 = 160.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 160.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -22.11639, + "lon": -45.05444, + "name": "São Lourenço" + }, + "end": { + "lat": 24.17161, + "lon": 78.18755, + "name": "Bīna" + }, + "waypoint": { + "lat": 19.95363, + "lon": 76.12637, + "name": "Sindkhed Raja" + }, + "question": "Is Sindkhed Raja approximately on the direct path from São Lourenço to Bīna?", + "ground_truth": { + "answer": true, + "direct_distance_km": 14247.6, + "via_waypoint_km": 14459.1, + "detour_km": 211.4, + "detour_percent": 1.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: São Lourenço", + " End: Bīna", + " Waypoint: Sindkhed Raja", + "Step 2: Calculate direct distance", + " Start → End: 14247.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14459.1 km", + "Step 4: Calculate detour", + " Detour = 14459.1 - 14247.6 = 211.4 km", + " Detour % = (211.4 / 14247.6) × 100 = 1.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1.5% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 39.9936, + "lon": -105.08971, + "name": "Lafayette" + }, + "end": { + "lat": 38.38479, + "lon": -0.76773, + "name": "Novelda" + }, + "waypoint": { + "lat": 8.39307, + "lon": 8.35544, + "name": "Doma" + }, + "question": "Is Doma approximately on the direct path from Lafayette to Novelda?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8394.3, + "via_waypoint_km": 14798.7, + "detour_km": 6404.4, + "detour_percent": 76.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Lafayette", + " End: Novelda", + " Waypoint: Doma", + "Step 2: Calculate direct distance", + " Start → End: 8394.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14798.7 km", + "Step 4: Calculate detour", + " Detour = 14798.7 - 8394.3 = 6404.4 km", + " Detour % = (6404.4 / 8394.3) × 100 = 76.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 76.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 26.8315, + "lon": 76.04856, + "name": "Basi" + }, + "end": { + "lat": -25.45955, + "lon": -49.53014, + "name": "Campo Largo" + }, + "waypoint": { + "lat": -34.05274, + "lon": 23.3716, + "name": "Plettenberg Bay" + }, + "question": "Is Plettenberg Bay approximately on the direct path from Basi to Campo Largo?", + "ground_truth": { + "answer": true, + "direct_distance_km": 14623.6, + "via_waypoint_km": 15711.4, + "detour_km": 1087.8, + "detour_percent": 7.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Basi", + " End: Campo Largo", + " Waypoint: Plettenberg Bay", + "Step 2: Calculate direct distance", + " Start → End: 14623.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15711.4 km", + "Step 4: Calculate detour", + " Detour = 15711.4 - 14623.6 = 1087.8 km", + " Detour % = (1087.8 / 14623.6) × 100 = 7.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 7.4% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 22.58213, + "lon": 88.171, + "name": "Dhulagari" + }, + "end": { + "lat": 47.07, + "lon": 15.39871, + "name": "Eggenberg" + }, + "waypoint": { + "lat": -4.42741, + "lon": 26.66656, + "name": "Kasongo" + }, + "question": "Is Kasongo approximately on the direct path from Dhulagari to Eggenberg?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6908.9, + "via_waypoint_km": 13151.3, + "detour_km": 6242.5, + "detour_percent": 90.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Dhulagari", + " End: Eggenberg", + " Waypoint: Kasongo", + "Step 2: Calculate direct distance", + " Start → End: 6908.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13151.3 km", + "Step 4: Calculate detour", + " Detour = 13151.3 - 6908.9 = 6242.5 km", + " Detour % = (6242.5 / 6908.9) × 100 = 90.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 90.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 50.14952, + "lon": 18.84215, + "name": "Łaziska Górne" + }, + "end": { + "lat": 39.48122, + "lon": -76.64386, + "name": "Cockeysville" + }, + "waypoint": { + "lat": -22.27528, + "lon": -51.5, + "name": "Pirapozinho" + }, + "question": "Is Pirapozinho approximately on the direct path from Łaziska Górne to Cockeysville?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7098.9, + "via_waypoint_km": 17938.7, + "detour_km": 10839.8, + "detour_percent": 152.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Łaziska Górne", + " End: Cockeysville", + " Waypoint: Pirapozinho", + "Step 2: Calculate direct distance", + " Start → End: 7098.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17938.7 km", + "Step 4: Calculate detour", + " Detour = 17938.7 - 7098.9 = 10839.8 km", + " Detour % = (10839.8 / 7098.9) × 100 = 152.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 152.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -17.30278, + "lon": -49.01667, + "name": "Piracanjuba" + }, + "end": { + "lat": 5.0491, + "lon": -6.74477, + "name": "Gagny" + }, + "waypoint": { + "lat": 8.91077, + "lon": 8.40655, + "name": "Akwanga" + }, + "question": "Is Akwanga approximately on the direct path from Piracanjuba to Gagny?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5264.7, + "via_waypoint_km": 8675.5, + "detour_km": 3410.8, + "detour_percent": 64.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Piracanjuba", + " End: Gagny", + " Waypoint: Akwanga", + "Step 2: Calculate direct distance", + " Start → End: 5264.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 8675.5 km", + "Step 4: Calculate detour", + " Detour = 8675.5 - 5264.7 = 3410.8 km", + " Detour % = (3410.8 / 5264.7) × 100 = 64.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 64.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -34.18551, + "lon": 142.16251, + "name": "Mildura" + }, + "end": { + "lat": 12.06667, + "lon": -2.23333, + "name": "Sabou" + }, + "waypoint": { + "lat": 16.96887, + "lon": 42.83251, + "name": "Abū ‘Arīsh" + }, + "question": "Is Abū ‘Arīsh approximately on the direct path from Mildura to Sabou?", + "ground_truth": { + "answer": true, + "direct_distance_km": 15658.6, + "via_waypoint_km": 16768.6, + "detour_km": 1110.0, + "detour_percent": 7.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mildura", + " End: Sabou", + " Waypoint: Abū ‘Arīsh", + "Step 2: Calculate direct distance", + " Start → End: 15658.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16768.6 km", + "Step 4: Calculate detour", + " Detour = 16768.6 - 15658.6 = 1110.0 km", + " Detour % = (1110.0 / 15658.6) × 100 = 7.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 7.1% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.23194, + "lon": 6.94333, + "name": "’Aïn Abid" + }, + "end": { + "lat": -27.87394, + "lon": 26.69072, + "name": "Odendaalsrus" + }, + "waypoint": { + "lat": 43.20814, + "lon": -71.53757, + "name": "Concord" + }, + "question": "Is Concord approximately on the direct path from ’Aïn Abid to Odendaalsrus?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7422.0, + "via_waypoint_km": 19223.2, + "detour_km": 11801.2, + "detour_percent": 159.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: ’Aïn Abid", + " End: Odendaalsrus", + " Waypoint: Concord", + "Step 2: Calculate direct distance", + " Start → End: 7422.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19223.2 km", + "Step 4: Calculate detour", + " Detour = 19223.2 - 7422.0 = 11801.2 km", + " Detour % = (11801.2 / 7422.0) × 100 = 159.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 159.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 19.67386, + "lon": 77.31149, + "name": "Kalamnūri" + }, + "end": { + "lat": 29.84863, + "lon": 106.05046, + "name": "Bachuan" + }, + "waypoint": { + "lat": 40.55427, + "lon": -74.15153, + "name": "Great Kills" + }, + "question": "Is Great Kills approximately on the direct path from Kalamnūri to Bachuan?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3103.6, + "via_waypoint_km": 24883.0, + "detour_km": 21779.4, + "detour_percent": 701.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kalamnūri", + " End: Bachuan", + " Waypoint: Great Kills", + "Step 2: Calculate direct distance", + " Start → End: 3103.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24883.0 km", + "Step 4: Calculate detour", + " Detour = 24883.0 - 3103.6 = 21779.4 km", + " Detour % = (21779.4 / 3103.6) × 100 = 701.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 701.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 34.83389, + "lon": 105.76167, + "name": "Wangyin" + }, + "end": { + "lat": 30.3586, + "lon": 50.7981, + "name": "Dogonbadan" + }, + "waypoint": { + "lat": -9.13333, + "lon": 14.76667, + "name": "Golungo Alto" + }, + "question": "Is Golungo Alto approximately on the direct path from Wangyin to Dogonbadan?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5109.3, + "via_waypoint_km": 16514.0, + "detour_km": 11404.8, + "detour_percent": 223.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Wangyin", + " End: Dogonbadan", + " Waypoint: Golungo Alto", + "Step 2: Calculate direct distance", + " Start → End: 5109.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16514.0 km", + "Step 4: Calculate detour", + " Detour = 16514.0 - 5109.3 = 11404.8 km", + " Detour % = (11404.8 / 5109.3) × 100 = 223.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 223.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -27.66606, + "lon": 28.13132, + "name": "Mamafubedu" + }, + "end": { + "lat": -34.58333, + "lon": -58.38333, + "name": "Retiro" + }, + "waypoint": { + "lat": -29.22694, + "lon": -53.68167, + "name": "Júlio de Castilhos" + }, + "question": "Is Júlio de Castilhos approximately on the direct path from Mamafubedu to Retiro?", + "ground_truth": { + "answer": true, + "direct_distance_km": 8013.7, + "via_waypoint_km": 8561.7, + "detour_km": 548.0, + "detour_percent": 6.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mamafubedu", + " End: Retiro", + " Waypoint: Júlio de Castilhos", + "Step 2: Calculate direct distance", + " Start → End: 8013.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 8561.7 km", + "Step 4: Calculate detour", + " Detour = 8561.7 - 8013.7 = 548.0 km", + " Detour % = (548.0 / 8013.7) × 100 = 6.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 6.8% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 34.08089, + "lon": 135.11905, + "name": "Arida" + }, + "end": { + "lat": -27.66606, + "lon": 28.13132, + "name": "Mamafubedu" + }, + "waypoint": { + "lat": -23.83322, + "lon": 30.16351, + "name": "Tzaneen" + }, + "question": "Is Tzaneen approximately on the direct path from Arida to Mamafubedu?", + "ground_truth": { + "answer": true, + "direct_distance_km": 13157.4, + "via_waypoint_km": 13255.0, + "detour_km": 97.6, + "detour_percent": 0.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Arida", + " End: Mamafubedu", + " Waypoint: Tzaneen", + "Step 2: Calculate direct distance", + " Start → End: 13157.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13255.0 km", + "Step 4: Calculate detour", + " Detour = 13255.0 - 13157.4 = 97.6 km", + " Detour % = (97.6 / 13157.4) × 100 = 0.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.7% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 33.53388, + "lon": 5.99306, + "name": "Djamaa" + }, + "end": { + "lat": 36.71499, + "lon": 3.05002, + "name": "Birkhadem" + }, + "waypoint": { + "lat": -43.30031, + "lon": -65.10564, + "name": "Rawson" + }, + "question": "Is Rawson approximately on the direct path from Djamaa to Birkhadem?", + "ground_truth": { + "answer": false, + "direct_distance_km": 443.5, + "via_waypoint_km": 22420.4, + "detour_km": 21976.8, + "detour_percent": 4955.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Djamaa", + " End: Birkhadem", + " Waypoint: Rawson", + "Step 2: Calculate direct distance", + " Start → End: 443.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22420.4 km", + "Step 4: Calculate detour", + " Detour = 22420.4 - 443.5 = 21976.8 km", + " Detour % = (21976.8 / 443.5) × 100 = 4955.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 4955.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 30.42059, + "lon": -86.61707, + "name": "Fort Walton Beach" + }, + "end": { + "lat": 50.41359, + "lon": 2.96485, + "name": "Hénin-Beaumont" + }, + "waypoint": { + "lat": 27.9837, + "lon": 83.75925, + "name": "Wāliṅ" + }, + "question": "Is Wāliṅ approximately on the direct path from Fort Walton Beach to Hénin-Beaumont?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7425.8, + "via_waypoint_km": 20463.1, + "detour_km": 13037.3, + "detour_percent": 175.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Fort Walton Beach", + " End: Hénin-Beaumont", + " Waypoint: Wāliṅ", + "Step 2: Calculate direct distance", + " Start → End: 7425.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20463.1 km", + "Step 4: Calculate detour", + " Detour = 20463.1 - 7425.8 = 13037.3 km", + " Detour % = (13037.3 / 7425.8) × 100 = 175.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 175.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -20.77556, + "lon": -41.67944, + "name": "Guaçuí" + }, + "end": { + "lat": 5.4119, + "lon": -6.5603, + "name": "Méagui" + }, + "waypoint": { + "lat": 12.95306, + "lon": 80.13083, + "name": "Kallamchavadi" + }, + "question": "Is Kallamchavadi approximately on the direct path from Guaçuí to Méagui?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4813.5, + "via_waypoint_km": 23308.4, + "detour_km": 18495.0, + "detour_percent": 384.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Guaçuí", + " End: Méagui", + " Waypoint: Kallamchavadi", + "Step 2: Calculate direct distance", + " Start → End: 4813.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23308.4 km", + "Step 4: Calculate detour", + " Detour = 23308.4 - 4813.5 = 18495.0 km", + " Detour % = (18495.0 / 4813.5) × 100 = 384.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 384.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 54.35048, + "lon": 18.65556, + "name": "Środmieście" + }, + "end": { + "lat": 40.13512, + "lon": 33.08614, + "name": "Akyurt" + }, + "waypoint": { + "lat": 22.54554, + "lon": 114.0683, + "name": "Shenzhen" + }, + "question": "Is Shenzhen approximately on the direct path from Środmieście to Akyurt?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1911.6, + "via_waypoint_km": 16002.8, + "detour_km": 14091.2, + "detour_percent": 737.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Środmieście", + " End: Akyurt", + " Waypoint: Shenzhen", + "Step 2: Calculate direct distance", + " Start → End: 1911.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16002.8 km", + "Step 4: Calculate detour", + " Detour = 16002.8 - 1911.6 = 14091.2 km", + " Detour % = (14091.2 / 1911.6) × 100 = 737.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 737.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 32.2341, + "lon": 34.95023, + "name": "Eṭ Ṭīra" + }, + "end": { + "lat": 30.40624, + "lon": 19.57386, + "name": "Al Burayqah" + }, + "waypoint": { + "lat": -19.88639, + "lon": -43.80667, + "name": "Sabará" + }, + "question": "Is Sabará approximately on the direct path from Eṭ Ṭīra to Al Burayqah?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1473.4, + "via_waypoint_km": 18957.1, + "detour_km": 17483.7, + "detour_percent": 1186.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Eṭ Ṭīra", + " End: Al Burayqah", + " Waypoint: Sabará", + "Step 2: Calculate direct distance", + " Start → End: 1473.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18957.1 km", + "Step 4: Calculate detour", + " Detour = 18957.1 - 1473.4 = 17483.7 km", + " Detour % = (17483.7 / 1473.4) × 100 = 1186.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1186.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 23.15509, + "lon": 89.49515, + "name": "Narail" + }, + "end": { + "lat": 54.65983, + "lon": -5.90858, + "name": "Newtownabbey" + }, + "waypoint": { + "lat": 41.63526, + "lon": -70.92701, + "name": "New Bedford" + }, + "question": "Is New Bedford approximately on the direct path from Narail to Newtownabbey?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8261.3, + "via_waypoint_km": 17378.4, + "detour_km": 9117.2, + "detour_percent": 110.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Narail", + " End: Newtownabbey", + " Waypoint: New Bedford", + "Step 2: Calculate direct distance", + " Start → End: 8261.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17378.4 km", + "Step 4: Calculate detour", + " Detour = 17378.4 - 8261.3 = 9117.2 km", + " Detour % = (9117.2 / 8261.3) × 100 = 110.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 110.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.9553, + "lon": 45.388, + "name": "Naqadeh" + }, + "end": { + "lat": 6.743, + "lon": 6.14029, + "name": "Ekpoma" + }, + "waypoint": { + "lat": 51.50467, + "lon": 6.54587, + "name": "Kamp-Lintfort" + }, + "question": "Is Kamp-Lintfort approximately on the direct path from Naqadeh to Ekpoma?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5198.7, + "via_waypoint_km": 8414.8, + "detour_km": 3216.2, + "detour_percent": 61.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Naqadeh", + " End: Ekpoma", + " Waypoint: Kamp-Lintfort", + "Step 2: Calculate direct distance", + " Start → End: 5198.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 8414.8 km", + "Step 4: Calculate detour", + " Detour = 8414.8 - 5198.7 = 3216.2 km", + " Detour % = (3216.2 / 5198.7) × 100 = 61.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 61.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 49.09006, + "lon": 8.39879, + "name": "Eggenstein-Leopoldshafen" + }, + "end": { + "lat": 51.5, + "lon": 7.63333, + "name": "Holzwickede" + }, + "waypoint": { + "lat": 32.58662, + "lon": 73.04456, + "name": "Pind Dadan Khan" + }, + "question": "Is Pind Dadan Khan approximately on the direct path from Eggenstein-Leopoldshafen to Holzwickede?", + "ground_truth": { + "answer": false, + "direct_distance_km": 273.4, + "via_waypoint_km": 11140.5, + "detour_km": 10867.0, + "detour_percent": 3974.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Eggenstein-Leopoldshafen", + " End: Holzwickede", + " Waypoint: Pind Dadan Khan", + "Step 2: Calculate direct distance", + " Start → End: 273.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11140.5 km", + "Step 4: Calculate detour", + " Detour = 11140.5 - 273.4 = 10867.0 km", + " Detour % = (10867.0 / 273.4) × 100 = 3974.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 3974.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 10.58964, + "lon": 39.43767, + "name": "Were Īlu" + }, + "end": { + "lat": 7.10168, + "lon": 7.65945, + "name": "Otukpa" + }, + "waypoint": { + "lat": 45.03802, + "lon": -93.38662, + "name": "New Hope" + }, + "question": "Is New Hope approximately on the direct path from Were Īlu to Otukpa?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3511.4, + "via_waypoint_km": 22538.4, + "detour_km": 19027.1, + "detour_percent": 541.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Were Īlu", + " End: Otukpa", + " Waypoint: New Hope", + "Step 2: Calculate direct distance", + " Start → End: 3511.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22538.4 km", + "Step 4: Calculate detour", + " Detour = 22538.4 - 3511.4 = 19027.1 km", + " Detour % = (19027.1 / 3511.4) × 100 = 541.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 541.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -23.03556, + "lon": -49.16611, + "name": "Cerqueira César" + }, + "end": { + "lat": 48.65412, + "lon": 2.39343, + "name": "Grigny" + }, + "waypoint": { + "lat": 36.74472, + "lon": 4.37222, + "name": "Azazga" + }, + "question": "Is Azazga approximately on the direct path from Cerqueira César to Grigny?", + "ground_truth": { + "answer": true, + "direct_distance_km": 9470.6, + "via_waypoint_km": 10031.8, + "detour_km": 561.2, + "detour_percent": 5.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Cerqueira César", + " End: Grigny", + " Waypoint: Azazga", + "Step 2: Calculate direct distance", + " Start → End: 9470.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10031.8 km", + "Step 4: Calculate detour", + " Detour = 10031.8 - 9470.6 = 561.2 km", + " Detour % = (561.2 / 9470.6) × 100 = 5.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 5.9% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 45.67206, + "lon": 8.82691, + "name": "Cassano Magnago" + }, + "end": { + "lat": 26.31008, + "lon": -80.23727, + "name": "Parkland" + }, + "waypoint": { + "lat": 12.70581, + "lon": -7.90268, + "name": "Sangarébougou" + }, + "question": "Is Sangarébougou approximately on the direct path from Cassano Magnago to Parkland?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7883.2, + "via_waypoint_km": 11632.7, + "detour_km": 3749.5, + "detour_percent": 47.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Cassano Magnago", + " End: Parkland", + " Waypoint: Sangarébougou", + "Step 2: Calculate direct distance", + " Start → End: 7883.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11632.7 km", + "Step 4: Calculate detour", + " Detour = 11632.7 - 7883.2 = 3749.5 km", + " Detour % = (3749.5 / 7883.2) × 100 = 47.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 47.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -21.27472, + "lon": -43.17917, + "name": "Rio Pomba" + }, + "end": { + "lat": 28.98198, + "lon": 105.63702, + "name": "Taifu" + }, + "waypoint": { + "lat": 35.10151, + "lon": 138.95398, + "name": "Kamizawa" + }, + "question": "Is Kamizawa approximately on the direct path from Rio Pomba to Taifu?", + "ground_truth": { + "answer": false, + "direct_distance_km": 16771.6, + "via_waypoint_km": 21661.1, + "detour_km": 4889.5, + "detour_percent": 29.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Rio Pomba", + " End: Taifu", + " Waypoint: Kamizawa", + "Step 2: Calculate direct distance", + " Start → End: 16771.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21661.1 km", + "Step 4: Calculate detour", + " Detour = 21661.1 - 16771.6 = 4889.5 km", + " Detour % = (4889.5 / 16771.6) × 100 = 29.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 29.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 53.55, + "lon": -2.2, + "name": "Middleton" + }, + "end": { + "lat": 41.92947, + "lon": -88.75036, + "name": "DeKalb" + }, + "waypoint": { + "lat": -3.68611, + "lon": -40.34972, + "name": "Sobral" + }, + "question": "Is Sobral approximately on the direct path from Middleton to DeKalb?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6189.2, + "via_waypoint_km": 14318.5, + "detour_km": 8129.3, + "detour_percent": 131.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Middleton", + " End: DeKalb", + " Waypoint: Sobral", + "Step 2: Calculate direct distance", + " Start → End: 6189.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14318.5 km", + "Step 4: Calculate detour", + " Detour = 14318.5 - 6189.2 = 8129.3 km", + " Detour % = (8129.3 / 6189.2) × 100 = 131.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 131.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -31.76737, + "lon": 115.96936, + "name": "Ellenbrook" + }, + "end": { + "lat": 36.02506, + "lon": -86.77917, + "name": "Brentwood Estates" + }, + "waypoint": { + "lat": 52.91345, + "lon": 8.82209, + "name": "Syke" + }, + "question": "Is Syke approximately on the direct path from Ellenbrook to Brentwood Estates?", + "ground_truth": { + "answer": false, + "direct_distance_km": 17868.1, + "via_waypoint_km": 21115.4, + "detour_km": 3247.3, + "detour_percent": 18.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ellenbrook", + " End: Brentwood Estates", + " Waypoint: Syke", + "Step 2: Calculate direct distance", + " Start → End: 17868.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21115.4 km", + "Step 4: Calculate detour", + " Detour = 21115.4 - 17868.1 = 3247.3 km", + " Detour % = (3247.3 / 17868.1) × 100 = 18.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 18.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 7.36983, + "lon": 4.1863, + "name": "Ikire" + }, + "end": { + "lat": -11.96806, + "lon": -61.95417, + "name": "Alta Floresta d'Oeste" + }, + "waypoint": { + "lat": 35.95664, + "lon": 36.7138, + "name": "Binnish" + }, + "question": "Is Binnish approximately on the direct path from Ikire to Alta Floresta d'Oeste?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7621.4, + "via_waypoint_km": 16142.5, + "detour_km": 8521.1, + "detour_percent": 111.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ikire", + " End: Alta Floresta d'Oeste", + " Waypoint: Binnish", + "Step 2: Calculate direct distance", + " Start → End: 7621.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16142.5 km", + "Step 4: Calculate detour", + " Detour = 16142.5 - 7621.4 = 8521.1 km", + " Detour % = (8521.1 / 7621.4) × 100 = 111.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 111.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -27.46794, + "lon": 153.02809, + "name": "Brisbane" + }, + "end": { + "lat": 53.55, + "lon": 9.93333, + "name": "Altona" + }, + "waypoint": { + "lat": 28.26419, + "lon": 78.4056, + "name": "Babrāla" + }, + "question": "Is Babrāla approximately on the direct path from Brisbane to Altona?", + "ground_truth": { + "answer": true, + "direct_distance_km": 15836.8, + "via_waypoint_km": 16199.6, + "detour_km": 362.8, + "detour_percent": 2.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Brisbane", + " End: Altona", + " Waypoint: Babrāla", + "Step 2: Calculate direct distance", + " Start → End: 15836.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16199.6 km", + "Step 4: Calculate detour", + " Detour = 16199.6 - 15836.8 = 362.8 km", + " Detour % = (362.8 / 15836.8) × 100 = 2.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2.3% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.3818, + "lon": -3.77109, + "name": "Las Águilas" + }, + "end": { + "lat": 51.24623, + "lon": 4.44903, + "name": "Merksem" + }, + "waypoint": { + "lat": 38.18583, + "lon": 106.12, + "name": "Lijun" + }, + "question": "Is Lijun approximately on the direct path from Las Águilas to Merksem?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1363.8, + "via_waypoint_km": 16251.8, + "detour_km": 14888.0, + "detour_percent": 1091.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Las Águilas", + " End: Merksem", + " Waypoint: Lijun", + "Step 2: Calculate direct distance", + " Start → End: 1363.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16251.8 km", + "Step 4: Calculate detour", + " Detour = 16251.8 - 1363.8 = 14888.0 km", + " Detour % = (14888.0 / 1363.8) × 100 = 1091.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1091.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.41387, + "lon": -2.4978, + "name": "Keynsham" + }, + "end": { + "lat": 11.28421, + "lon": 49.18158, + "name": "Bosaso" + }, + "waypoint": { + "lat": 0.89444, + "lon": 33.49944, + "name": "Kaliro" + }, + "question": "Is Kaliro approximately on the direct path from Keynsham to Bosaso?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6432.1, + "via_waypoint_km": 8629.3, + "detour_km": 2197.2, + "detour_percent": 34.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Keynsham", + " End: Bosaso", + " Waypoint: Kaliro", + "Step 2: Calculate direct distance", + " Start → End: 6432.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 8629.3 km", + "Step 4: Calculate detour", + " Detour = 8629.3 - 6432.1 = 2197.2 km", + " Detour % = (2197.2 / 6432.1) × 100 = 34.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 34.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.06523, + "lon": -119.01677, + "name": "Porterville" + }, + "end": { + "lat": 41.54317, + "lon": -8.40725, + "name": "Bairro Novo" + }, + "waypoint": { + "lat": 44.43333, + "lon": 24.36667, + "name": "Slatina" + }, + "question": "Is Slatina approximately on the direct path from Porterville to Bairro Novo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8870.9, + "via_waypoint_km": 13000.6, + "detour_km": 4129.7, + "detour_percent": 46.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Porterville", + " End: Bairro Novo", + " Waypoint: Slatina", + "Step 2: Calculate direct distance", + " Start → End: 8870.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13000.6 km", + "Step 4: Calculate detour", + " Detour = 13000.6 - 8870.9 = 4129.7 km", + " Detour % = (4129.7 / 8870.9) × 100 = 46.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 46.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -8.85, + "lon": 33.85, + "name": "Igurusi" + }, + "end": { + "lat": 50.85023, + "lon": 0.47095, + "name": "Bexhill-on-Sea" + }, + "waypoint": { + "lat": 18.98878, + "lon": 73.11013, + "name": "Panvel" + }, + "question": "Is Panvel approximately on the direct path from Igurusi to Bexhill-on-Sea?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7374.5, + "via_waypoint_km": 12473.3, + "detour_km": 5098.8, + "detour_percent": 69.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Igurusi", + " End: Bexhill-on-Sea", + " Waypoint: Panvel", + "Step 2: Calculate direct distance", + " Start → End: 7374.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12473.3 km", + "Step 4: Calculate detour", + " Detour = 12473.3 - 7374.5 = 5098.8 km", + " Detour % = (5098.8 / 7374.5) × 100 = 69.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 69.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 8.81136, + "lon": -74.72084, + "name": "Sucre" + }, + "end": { + "lat": 48.21563, + "lon": 18.60705, + "name": "Levice" + }, + "waypoint": { + "lat": 45.07873, + "lon": 7.56735, + "name": "Collegno" + }, + "question": "Is Collegno approximately on the direct path from Sucre to Levice?", + "ground_truth": { + "answer": true, + "direct_distance_km": 9522.9, + "via_waypoint_km": 9622.0, + "detour_km": 99.1, + "detour_percent": 1.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sucre", + " End: Levice", + " Waypoint: Collegno", + "Step 2: Calculate direct distance", + " Start → End: 9522.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9622.0 km", + "Step 4: Calculate detour", + " Detour = 9622.0 - 9522.9 = 99.1 km", + " Detour % = (99.1 / 9522.9) × 100 = 1.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1.0% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 16.33685, + "lon": 74.96768, + "name": "Mudalgi" + }, + "end": { + "lat": -28.00274, + "lon": 153.42999, + "name": "Surfers Paradise" + }, + "waypoint": { + "lat": 42.93869, + "lon": -74.18819, + "name": "Amsterdam" + }, + "question": "Is Amsterdam approximately on the direct path from Mudalgi to Surfers Paradise?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9769.2, + "via_waypoint_km": 28174.0, + "detour_km": 18404.8, + "detour_percent": 188.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mudalgi", + " End: Surfers Paradise", + " Waypoint: Amsterdam", + "Step 2: Calculate direct distance", + " Start → End: 9769.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 28174.0 km", + "Step 4: Calculate detour", + " Detour = 28174.0 - 9769.2 = 18404.8 km", + " Detour % = (18404.8 / 9769.2) × 100 = 188.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 188.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -28.55104, + "lon": -56.04125, + "name": "Santo Tomé" + }, + "end": { + "lat": 21.15611, + "lon": -100.9325, + "name": "Dolores Hidalgo" + }, + "waypoint": { + "lat": 22.52306, + "lon": 113.37912, + "name": "Zhongshan" + }, + "question": "Is Zhongshan approximately on the direct path from Santo Tomé to Dolores Hidalgo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7331.0, + "via_waypoint_km": 32657.9, + "detour_km": 25326.9, + "detour_percent": 345.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Santo Tomé", + " End: Dolores Hidalgo", + " Waypoint: Zhongshan", + "Step 2: Calculate direct distance", + " Start → End: 7331.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 32657.9 km", + "Step 4: Calculate detour", + " Detour = 32657.9 - 7331.0 = 25326.9 km", + " Detour % = (25326.9 / 7331.0) × 100 = 345.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 345.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 32.05043, + "lon": 34.75224, + "name": "Jaffa" + }, + "end": { + "lat": 22.61198, + "lon": 70.94379, + "name": "Wānkāner" + }, + "waypoint": { + "lat": 42.3501, + "lon": -71.15644, + "name": "Brighton" + }, + "question": "Is Brighton approximately on the direct path from Jaffa to Wānkāner?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3706.5, + "via_waypoint_km": 20628.1, + "detour_km": 16921.6, + "detour_percent": 456.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Jaffa", + " End: Wānkāner", + " Waypoint: Brighton", + "Step 2: Calculate direct distance", + " Start → End: 3706.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20628.1 km", + "Step 4: Calculate detour", + " Detour = 20628.1 - 3706.5 = 16921.6 km", + " Detour % = (16921.6 / 3706.5) × 100 = 456.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 456.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -8.515, + "lon": -41.005, + "name": "Afrânio" + }, + "end": { + "lat": 26.12259, + "lon": 85.39055, + "name": "Muzaffarpur" + }, + "waypoint": { + "lat": 14.2973, + "lon": 121.4598, + "name": "Lumbang" + }, + "question": "Is Lumbang approximately on the direct path from Afrânio to Muzaffarpur?", + "ground_truth": { + "answer": false, + "direct_distance_km": 14044.4, + "via_waypoint_km": 21970.3, + "detour_km": 7925.9, + "detour_percent": 56.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Afrânio", + " End: Muzaffarpur", + " Waypoint: Lumbang", + "Step 2: Calculate direct distance", + " Start → End: 14044.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21970.3 km", + "Step 4: Calculate detour", + " Detour = 21970.3 - 14044.4 = 7925.9 km", + " Detour % = (7925.9 / 14044.4) × 100 = 56.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 56.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -19.96778, + "lon": -44.19833, + "name": "Betim" + }, + "end": { + "lat": -2.9075, + "lon": 29.8306, + "name": "Ngozi" + }, + "waypoint": { + "lat": 40.89105, + "lon": 26.90201, + "name": "Malkara" + }, + "question": "Is Malkara approximately on the direct path from Betim to Ngozi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8228.7, + "via_waypoint_km": 14844.8, + "detour_km": 6616.1, + "detour_percent": 80.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Betim", + " End: Ngozi", + " Waypoint: Malkara", + "Step 2: Calculate direct distance", + " Start → End: 8228.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14844.8 km", + "Step 4: Calculate detour", + " Detour = 14844.8 - 8228.7 = 6616.1 km", + " Detour % = (6616.1 / 8228.7) × 100 = 80.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 80.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 12.34172, + "lon": 76.58629, + "name": "Hutagalli" + }, + "end": { + "lat": 50.76331, + "lon": 37.86415, + "name": "Novy Oskol" + }, + "waypoint": { + "lat": -41.31667, + "lon": 173.23333, + "name": "Stoke" + }, + "question": "Is Stoke approximately on the direct path from Hutagalli to Novy Oskol?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5519.3, + "via_waypoint_km": 27934.0, + "detour_km": 22414.7, + "detour_percent": 406.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Hutagalli", + " End: Novy Oskol", + " Waypoint: Stoke", + "Step 2: Calculate direct distance", + " Start → End: 5519.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27934.0 km", + "Step 4: Calculate detour", + " Detour = 27934.0 - 5519.3 = 22414.7 km", + " Detour % = (22414.7 / 5519.3) × 100 = 406.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 406.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -41.13827, + "lon": 175.0502, + "name": "Upper Hutt" + }, + "end": { + "lat": 26.13, + "lon": 50.555, + "name": "Ar Rifā‘" + }, + "waypoint": { + "lat": 11.99008, + "lon": -86.30954, + "name": "El Crucero" + }, + "question": "Is El Crucero approximately on the direct path from Upper Hutt to Ar Rifā‘?", + "ground_truth": { + "answer": false, + "direct_distance_km": 14708.1, + "via_waypoint_km": 25312.9, + "detour_km": 10604.8, + "detour_percent": 72.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Upper Hutt", + " End: Ar Rifā‘", + " Waypoint: El Crucero", + "Step 2: Calculate direct distance", + " Start → End: 14708.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25312.9 km", + "Step 4: Calculate detour", + " Detour = 25312.9 - 14708.1 = 10604.8 km", + " Detour % = (10604.8 / 14708.1) × 100 = 72.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 72.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -21.72444, + "lon": -48.10167, + "name": "Américo Brasiliense" + }, + "end": { + "lat": 33.35283, + "lon": -111.78903, + "name": "Gilbert" + }, + "waypoint": { + "lat": 39.50506, + "lon": -76.31977, + "name": "Bel Air South" + }, + "question": "Is Bel Air South approximately on the direct path from Américo Brasiliense to Gilbert?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9109.7, + "via_waypoint_km": 10637.1, + "detour_km": 1527.4, + "detour_percent": 16.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Américo Brasiliense", + " End: Gilbert", + " Waypoint: Bel Air South", + "Step 2: Calculate direct distance", + " Start → End: 9109.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10637.1 km", + "Step 4: Calculate detour", + " Detour = 10637.1 - 9109.7 = 1527.4 km", + " Detour % = (1527.4 / 9109.7) × 100 = 16.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 16.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 59.97305, + "lon": 30.47607, + "name": "Krasnogvargeisky" + }, + "end": { + "lat": 30.9522, + "lon": 20.12022, + "name": "Az Zuwaytīnah" + }, + "waypoint": { + "lat": 15.36663, + "lon": -90.47825, + "name": "San Cristóbal Verapaz" + }, + "question": "Is San Cristóbal Verapaz approximately on the direct path from Krasnogvargeisky to Az Zuwaytīnah?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3317.6, + "via_waypoint_km": 21123.8, + "detour_km": 17806.1, + "detour_percent": 536.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Krasnogvargeisky", + " End: Az Zuwaytīnah", + " Waypoint: San Cristóbal Verapaz", + "Step 2: Calculate direct distance", + " Start → End: 3317.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21123.8 km", + "Step 4: Calculate detour", + " Detour = 21123.8 - 3317.6 = 17806.1 km", + " Detour % = (17806.1 / 3317.6) × 100 = 536.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 536.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -25.77507, + "lon": 29.46482, + "name": "Middelburg" + }, + "end": { + "lat": -34.92126, + "lon": -57.95442, + "name": "La Plata" + }, + "waypoint": { + "lat": 38.62032, + "lon": -9.19426, + "name": "Charneca de Caparica" + }, + "question": "Is Charneca de Caparica approximately on the direct path from Middelburg to La Plata?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8185.1, + "via_waypoint_km": 17805.9, + "detour_km": 9620.8, + "detour_percent": 117.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Middelburg", + " End: La Plata", + " Waypoint: Charneca de Caparica", + "Step 2: Calculate direct distance", + " Start → End: 8185.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17805.9 km", + "Step 4: Calculate detour", + " Detour = 17805.9 - 8185.1 = 9620.8 km", + " Detour % = (9620.8 / 8185.1) × 100 = 117.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 117.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -1.3527, + "lon": 36.6699, + "name": "Ngong" + }, + "end": { + "lat": 30.94229, + "lon": 110.00588, + "name": "Baolong" + }, + "waypoint": { + "lat": 59.56274, + "lon": 150.80211, + "name": "Magadan" + }, + "question": "Is Magadan approximately on the direct path from Ngong to Baolong?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8504.5, + "via_waypoint_km": 15855.2, + "detour_km": 7350.7, + "detour_percent": 86.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ngong", + " End: Baolong", + " Waypoint: Magadan", + "Step 2: Calculate direct distance", + " Start → End: 8504.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15855.2 km", + "Step 4: Calculate detour", + " Detour = 15855.2 - 8504.5 = 7350.7 km", + " Detour % = (7350.7 / 8504.5) × 100 = 86.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 86.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 33.83529, + "lon": -117.9145, + "name": "Anaheim" + }, + "end": { + "lat": -17.06667, + "lon": 15.73333, + "name": "Ondjiva" + }, + "waypoint": { + "lat": 15.32546, + "lon": 120.65723, + "name": "Concepcion" + }, + "question": "Is Concepcion approximately on the direct path from Anaheim to Ondjiva?", + "ground_truth": { + "answer": false, + "direct_distance_km": 15051.0, + "via_waypoint_km": 23802.2, + "detour_km": 8751.3, + "detour_percent": 58.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Anaheim", + " End: Ondjiva", + " Waypoint: Concepcion", + "Step 2: Calculate direct distance", + " Start → End: 15051.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23802.2 km", + "Step 4: Calculate detour", + " Detour = 23802.2 - 15051.0 = 8751.3 km", + " Detour % = (8751.3 / 15051.0) × 100 = 58.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 58.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -14.66429, + "lon": -52.35859, + "name": "Nova Xavantina" + }, + "end": { + "lat": 44.92754, + "lon": 127.16039, + "name": "Wuchang" + }, + "waypoint": { + "lat": 32.09543, + "lon": -96.46887, + "name": "Corsicana" + }, + "question": "Is Corsicana approximately on the direct path from Nova Xavantina to Wuchang?", + "ground_truth": { + "answer": true, + "direct_distance_km": 16649.7, + "via_waypoint_km": 17388.7, + "detour_km": 739.0, + "detour_percent": 4.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Nova Xavantina", + " End: Wuchang", + " Waypoint: Corsicana", + "Step 2: Calculate direct distance", + " Start → End: 16649.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17388.7 km", + "Step 4: Calculate detour", + " Detour = 17388.7 - 16649.7 = 739.0 km", + " Detour % = (739.0 / 16649.7) × 100 = 4.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 4.4% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 4.80278, + "lon": 114.64917, + "name": "Tutong" + }, + "end": { + "lat": 47.86602, + "lon": -122.1551, + "name": "Silver Firs" + }, + "waypoint": { + "lat": 18.15514, + "lon": -94.39289, + "name": "Allende" + }, + "question": "Is Allende approximately on the direct path from Tutong to Silver Firs?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11974.9, + "via_waypoint_km": 20084.7, + "detour_km": 8109.7, + "detour_percent": 67.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tutong", + " End: Silver Firs", + " Waypoint: Allende", + "Step 2: Calculate direct distance", + " Start → End: 11974.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20084.7 km", + "Step 4: Calculate detour", + " Detour = 20084.7 - 11974.9 = 8109.7 km", + " Detour % = (8109.7 / 11974.9) × 100 = 67.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 67.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 34.86526, + "lon": -120.436, + "name": "Orcutt" + }, + "end": { + "lat": -17.03917, + "lon": -39.53111, + "name": "Itamaraju" + }, + "waypoint": { + "lat": -7.07444, + "lon": -40.37611, + "name": "Campos Sales" + }, + "question": "Is Campos Sales approximately on the direct path from Orcutt to Itamaraju?", + "ground_truth": { + "answer": true, + "direct_distance_km": 10284.8, + "via_waypoint_km": 10672.1, + "detour_km": 387.3, + "detour_percent": 3.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Orcutt", + " End: Itamaraju", + " Waypoint: Campos Sales", + "Step 2: Calculate direct distance", + " Start → End: 10284.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10672.1 km", + "Step 4: Calculate detour", + " Detour = 10672.1 - 10284.8 = 387.3 km", + " Detour % = (387.3 / 10284.8) × 100 = 3.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 3.8% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 43.1122, + "lon": 12.38878, + "name": "Perugia" + }, + "end": { + "lat": 32.71667, + "lon": 13.06667, + "name": "As Sawānī" + }, + "waypoint": { + "lat": 31.80258, + "lon": 74.25772, + "name": "Muridke" + }, + "question": "Is Muridke approximately on the direct path from Perugia to As Sawānī?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1157.4, + "via_waypoint_km": 11147.2, + "detour_km": 9989.8, + "detour_percent": 863.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Perugia", + " End: As Sawānī", + " Waypoint: Muridke", + "Step 2: Calculate direct distance", + " Start → End: 1157.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11147.2 km", + "Step 4: Calculate detour", + " Detour = 11147.2 - 1157.4 = 9989.8 km", + " Detour % = (9989.8 / 1157.4) × 100 = 863.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 863.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.91149, + "lon": -73.78235, + "name": "New Rochelle" + }, + "end": { + "lat": 34.92194, + "lon": 135.4952, + "name": "Yono" + }, + "waypoint": { + "lat": 13.78546, + "lon": 100.61165, + "name": "Wang Thonglang" + }, + "question": "Is Wang Thonglang approximately on the direct path from New Rochelle to Yono?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11067.4, + "via_waypoint_km": 18114.2, + "detour_km": 7046.8, + "detour_percent": 63.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: New Rochelle", + " End: Yono", + " Waypoint: Wang Thonglang", + "Step 2: Calculate direct distance", + " Start → End: 11067.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18114.2 km", + "Step 4: Calculate detour", + " Detour = 18114.2 - 11067.4 = 7046.8 km", + " Detour % = (7046.8 / 11067.4) × 100 = 63.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 63.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -1.29389, + "lon": -47.92639, + "name": "Castanhal" + }, + "end": { + "lat": -2.89, + "lon": -41.90306, + "name": "Araioses" + }, + "waypoint": { + "lat": -7.87639, + "lon": 110.35889, + "name": "Sewon" + }, + "question": "Is Sewon approximately on the direct path from Castanhal to Araioses?", + "ground_truth": { + "answer": false, + "direct_distance_km": 692.4, + "via_waypoint_km": 34113.8, + "detour_km": 33421.3, + "detour_percent": 4826.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Castanhal", + " End: Araioses", + " Waypoint: Sewon", + "Step 2: Calculate direct distance", + " Start → End: 692.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 34113.8 km", + "Step 4: Calculate detour", + " Detour = 34113.8 - 692.4 = 33421.3 km", + " Detour % = (33421.3 / 692.4) × 100 = 4826.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 4826.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 31.32712, + "lon": -89.29034, + "name": "Hattiesburg" + }, + "end": { + "lat": -26.10528, + "lon": 28.09884, + "name": "Alexandra" + }, + "waypoint": { + "lat": 33.51535, + "lon": -7.81677, + "name": "Dar Bouazza" + }, + "question": "Is Dar Bouazza approximately on the direct path from Hattiesburg to Alexandra?", + "ground_truth": { + "answer": true, + "direct_distance_km": 13962.4, + "via_waypoint_km": 15074.8, + "detour_km": 1112.4, + "detour_percent": 8.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Hattiesburg", + " End: Alexandra", + " Waypoint: Dar Bouazza", + "Step 2: Calculate direct distance", + " Start → End: 13962.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15074.8 km", + "Step 4: Calculate detour", + " Detour = 15074.8 - 13962.4 = 1112.4 km", + " Detour % = (1112.4 / 13962.4) × 100 = 8.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 8.0% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 50.98175, + "lon": 3.53096, + "name": "Deinze" + }, + "end": { + "lat": 37.36497, + "lon": 120.40997, + "name": "Zhaoyuan" + }, + "waypoint": { + "lat": -16.79706, + "lon": 47.65165, + "name": "Tsaratanana" + }, + "question": "Is Tsaratanana approximately on the direct path from Deinze to Zhaoyuan?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8428.6, + "via_waypoint_km": 18359.6, + "detour_km": 9931.0, + "detour_percent": 117.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Deinze", + " End: Zhaoyuan", + " Waypoint: Tsaratanana", + "Step 2: Calculate direct distance", + " Start → End: 8428.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18359.6 km", + "Step 4: Calculate detour", + " Detour = 18359.6 - 8428.6 = 9931.0 km", + " Detour % = (9931.0 / 8428.6) × 100 = 117.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 117.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 26.66317, + "lon": 68.00016, + "name": "Moro" + }, + "end": { + "lat": 41.00996, + "lon": 14.13013, + "name": "Casal di Principe" + }, + "waypoint": { + "lat": 17.70217, + "lon": 33.98638, + "name": "Atbara" + }, + "question": "Is Atbara approximately on the direct path from Moro to Casal di Principe?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5137.8, + "via_waypoint_km": 6839.8, + "detour_km": 1701.9, + "detour_percent": 33.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Moro", + " End: Casal di Principe", + " Waypoint: Atbara", + "Step 2: Calculate direct distance", + " Start → End: 5137.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 6839.8 km", + "Step 4: Calculate detour", + " Detour = 6839.8 - 5137.8 = 1701.9 km", + " Detour % = (1701.9 / 5137.8) × 100 = 33.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 33.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -6.73315, + "lon": -79.6359, + "name": "Pátapo" + }, + "end": { + "lat": -11.31667, + "lon": -38.23333, + "name": "Itapicuru" + }, + "waypoint": { + "lat": 13.30867, + "lon": 7.15602, + "name": "Madarounfa" + }, + "question": "Is Madarounfa approximately on the direct path from Pátapo to Itapicuru?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4571.4, + "via_waypoint_km": 15541.5, + "detour_km": 10970.1, + "detour_percent": 240.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Pátapo", + " End: Itapicuru", + " Waypoint: Madarounfa", + "Step 2: Calculate direct distance", + " Start → End: 4571.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15541.5 km", + "Step 4: Calculate detour", + " Detour = 15541.5 - 4571.4 = 10970.1 km", + " Detour % = (10970.1 / 4571.4) × 100 = 240.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 240.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -2.06028, + "lon": 29.34778, + "name": "Kibuye" + }, + "end": { + "lat": 41.13998, + "lon": -104.82025, + "name": "Cheyenne" + }, + "waypoint": { + "lat": 29.71215, + "lon": 77.41728, + "name": "Nanauta" + }, + "question": "Is Nanauta approximately on the direct path from Kibuye to Cheyenne?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13702.9, + "via_waypoint_km": 18337.3, + "detour_km": 4634.3, + "detour_percent": 33.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kibuye", + " End: Cheyenne", + " Waypoint: Nanauta", + "Step 2: Calculate direct distance", + " Start → End: 13702.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18337.3 km", + "Step 4: Calculate detour", + " Detour = 18337.3 - 13702.9 = 4634.3 km", + " Detour % = (4634.3 / 13702.9) × 100 = 33.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 33.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 46.29192, + "lon": 7.53559, + "name": "Sierre" + }, + "end": { + "lat": 9.0661, + "lon": -79.42577, + "name": "Pedregal" + }, + "waypoint": { + "lat": 36.077, + "lon": -87.38779, + "name": "Dickson" + }, + "question": "Is Dickson approximately on the direct path from Sierre to Pedregal?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9047.8, + "via_waypoint_km": 10649.3, + "detour_km": 1601.6, + "detour_percent": 17.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sierre", + " End: Pedregal", + " Waypoint: Dickson", + "Step 2: Calculate direct distance", + " Start → End: 9047.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10649.3 km", + "Step 4: Calculate detour", + " Detour = 10649.3 - 9047.8 = 1601.6 km", + " Detour % = (1601.6 / 9047.8) × 100 = 17.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 17.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 19.46574, + "lon": -97.68737, + "name": "Libres" + }, + "end": { + "lat": 10.1061, + "lon": 123.6402, + "name": "Carcar" + }, + "waypoint": { + "lat": 24.1839, + "lon": 88.27171, + "name": "Murshidābād" + }, + "question": "Is Murshidābād approximately on the direct path from Libres to Carcar?", + "ground_truth": { + "answer": false, + "direct_distance_km": 14420.3, + "via_waypoint_km": 19173.4, + "detour_km": 4753.1, + "detour_percent": 33.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Libres", + " End: Carcar", + " Waypoint: Murshidābād", + "Step 2: Calculate direct distance", + " Start → End: 14420.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19173.4 km", + "Step 4: Calculate detour", + " Detour = 19173.4 - 14420.3 = 4753.1 km", + " Detour % = (4753.1 / 14420.3) × 100 = 33.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 33.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -23.5318, + "lon": -46.65288, + "name": "Santa Cecilia" + }, + "end": { + "lat": 31.45191, + "lon": 74.92777, + "name": "Tarn Taran" + }, + "waypoint": { + "lat": 30.77967, + "lon": 108.45506, + "name": "Wuqiao" + }, + "question": "Is Wuqiao approximately on the direct path from Santa Cecilia to Tarn Taran?", + "ground_truth": { + "answer": false, + "direct_distance_km": 14251.3, + "via_waypoint_km": 20610.6, + "detour_km": 6359.3, + "detour_percent": 44.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Santa Cecilia", + " End: Tarn Taran", + " Waypoint: Wuqiao", + "Step 2: Calculate direct distance", + " Start → End: 14251.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20610.6 km", + "Step 4: Calculate detour", + " Detour = 20610.6 - 14251.3 = 6359.3 km", + " Detour % = (6359.3 / 14251.3) × 100 = 44.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 44.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -21.24528, + "lon": -44.99972, + "name": "Lavras" + }, + "end": { + "lat": 52.05333, + "lon": 5.28056, + "name": "Driebergen-Rijsenburg" + }, + "waypoint": { + "lat": 35.68184, + "lon": 140.04152, + "name": "Narashino" + }, + "question": "Is Narashino approximately on the direct path from Lavras to Driebergen-Rijsenburg?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9494.1, + "via_waypoint_km": 27653.1, + "detour_km": 18159.0, + "detour_percent": 191.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Lavras", + " End: Driebergen-Rijsenburg", + " Waypoint: Narashino", + "Step 2: Calculate direct distance", + " Start → End: 9494.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27653.1 km", + "Step 4: Calculate detour", + " Detour = 27653.1 - 9494.1 = 18159.0 km", + " Detour % = (18159.0 / 9494.1) × 100 = 191.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 191.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 10.89469, + "lon": -1.09083, + "name": "Navrongo" + }, + "end": { + "lat": 10.03672, + "lon": -73.23558, + "name": "Agustín Codazzi" + }, + "waypoint": { + "lat": -7.31111, + "lon": -39.30417, + "name": "Barbalha" + }, + "question": "Is Barbalha approximately on the direct path from Navrongo to Agustín Codazzi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7868.9, + "via_waypoint_km": 8912.0, + "detour_km": 1043.1, + "detour_percent": 13.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Navrongo", + " End: Agustín Codazzi", + " Waypoint: Barbalha", + "Step 2: Calculate direct distance", + " Start → End: 7868.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 8912.0 km", + "Step 4: Calculate detour", + " Detour = 8912.0 - 7868.9 = 1043.1 km", + " Detour % = (1043.1 / 7868.9) × 100 = 13.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 13.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 27.46609, + "lon": 89.64191, + "name": "Thimphu" + }, + "end": { + "lat": 22.2866, + "lon": 82.16823, + "name": "Ratanpur" + }, + "waypoint": { + "lat": 49.09292, + "lon": 1.46332, + "name": "Vernon" + }, + "question": "Is Vernon approximately on the direct path from Thimphu to Ratanpur?", + "ground_truth": { + "answer": false, + "direct_distance_km": 948.3, + "via_waypoint_km": 15106.3, + "detour_km": 14158.0, + "detour_percent": 1492.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Thimphu", + " End: Ratanpur", + " Waypoint: Vernon", + "Step 2: Calculate direct distance", + " Start → End: 948.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15106.3 km", + "Step 4: Calculate detour", + " Detour = 15106.3 - 948.3 = 14158.0 km", + " Detour % = (14158.0 / 948.3) × 100 = 1492.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1492.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 38.32292, + "lon": 26.76403, + "name": "Urla" + }, + "end": { + "lat": -5.12056, + "lon": -60.37972, + "name": "Novo Aripuanã" + }, + "waypoint": { + "lat": 30.29735, + "lon": 30.97641, + "name": "Ashmūn" + }, + "question": "Is Ashmūn approximately on the direct path from Urla to Novo Aripuanã?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10112.1, + "via_waypoint_km": 11396.7, + "detour_km": 1284.6, + "detour_percent": 12.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Urla", + " End: Novo Aripuanã", + " Waypoint: Ashmūn", + "Step 2: Calculate direct distance", + " Start → End: 10112.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11396.7 km", + "Step 4: Calculate detour", + " Detour = 11396.7 - 10112.1 = 1284.6 km", + " Detour % = (1284.6 / 10112.1) × 100 = 12.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 12.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 44.02603, + "lon": 20.46152, + "name": "Gornji Milanovac" + }, + "end": { + "lat": 7.00017, + "lon": -76.26915, + "name": "Dabeiba" + }, + "waypoint": { + "lat": -13.44111, + "lon": -40.43083, + "name": "Maracás" + }, + "question": "Is Maracás approximately on the direct path from Gornji Milanovac to Dabeiba?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10000.8, + "via_waypoint_km": 13426.6, + "detour_km": 3425.8, + "detour_percent": 34.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Gornji Milanovac", + " End: Dabeiba", + " Waypoint: Maracás", + "Step 2: Calculate direct distance", + " Start → End: 10000.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13426.6 km", + "Step 4: Calculate detour", + " Detour = 13426.6 - 10000.8 = 3425.8 km", + " Detour % = (3425.8 / 10000.8) × 100 = 34.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 34.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 32.64541, + "lon": -85.37828, + "name": "Opelika" + }, + "end": { + "lat": 11.46186, + "lon": 26.12583, + "name": "El Daein" + }, + "waypoint": { + "lat": 18.56286, + "lon": 103.72671, + "name": "Borikhan" + }, + "question": "Is Borikhan approximately on the direct path from Opelika to El Daein?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11259.9, + "via_waypoint_km": 22552.9, + "detour_km": 11293.0, + "detour_percent": 100.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Opelika", + " End: El Daein", + " Waypoint: Borikhan", + "Step 2: Calculate direct distance", + " Start → End: 11259.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22552.9 km", + "Step 4: Calculate detour", + " Detour = 22552.9 - 11259.9 = 11293.0 km", + " Detour % = (11293.0 / 11259.9) × 100 = 100.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 100.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -19.30323, + "lon": 146.72531, + "name": "Kirwan" + }, + "end": { + "lat": 37.21533, + "lon": -93.29824, + "name": "Springfield" + }, + "waypoint": { + "lat": 6.54584, + "lon": -0.76264, + "name": "Nkawkaw" + }, + "question": "Is Nkawkaw approximately on the direct path from Kirwan to Springfield?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13914.0, + "via_waypoint_km": 26018.1, + "detour_km": 12104.0, + "detour_percent": 87.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kirwan", + " End: Springfield", + " Waypoint: Nkawkaw", + "Step 2: Calculate direct distance", + " Start → End: 13914.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26018.1 km", + "Step 4: Calculate detour", + " Detour = 26018.1 - 13914.0 = 12104.0 km", + " Detour % = (12104.0 / 13914.0) × 100 = 87.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 87.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 8.62617, + "lon": 76.83053, + "name": "Vellūr" + }, + "end": { + "lat": 24.68029, + "lon": 46.61109, + "name": "‘Irqah" + }, + "waypoint": { + "lat": 36.18333, + "lon": 139.71667, + "name": "Koga" + }, + "question": "Is Koga approximately on the direct path from Vellūr to ‘Irqah?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3666.6, + "via_waypoint_km": 15698.3, + "detour_km": 12031.8, + "detour_percent": 328.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Vellūr", + " End: ‘Irqah", + " Waypoint: Koga", + "Step 2: Calculate direct distance", + " Start → End: 3666.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15698.3 km", + "Step 4: Calculate detour", + " Detour = 15698.3 - 3666.6 = 12031.8 km", + " Detour % = (12031.8 / 3666.6) × 100 = 328.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 328.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 11.68758, + "lon": -84.45616, + "name": "Nueva Guinea" + }, + "end": { + "lat": 24.7668, + "lon": -107.69768, + "name": "Navolato" + }, + "waypoint": { + "lat": 35.48333, + "lon": 136.91667, + "name": "Sekimachi" + }, + "question": "Is Sekimachi approximately on the direct path from Nueva Guinea to Navolato?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2845.6, + "via_waypoint_km": 23681.3, + "detour_km": 20835.7, + "detour_percent": 732.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Nueva Guinea", + " End: Navolato", + " Waypoint: Sekimachi", + "Step 2: Calculate direct distance", + " Start → End: 2845.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23681.3 km", + "Step 4: Calculate detour", + " Detour = 23681.3 - 2845.6 = 20835.7 km", + " Detour % = (20835.7 / 2845.6) × 100 = 732.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 732.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -1.12889, + "lon": -47.62, + "name": "Igarapé-Açu" + }, + "end": { + "lat": -3.27778, + "lon": -39.26889, + "name": "Trairi" + }, + "waypoint": { + "lat": 29.25696, + "lon": 106.0629, + "name": "Wutan" + }, + "question": "Is Wutan approximately on the direct path from Igarapé-Açu to Trairi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 958.1, + "via_waypoint_km": 31181.8, + "detour_km": 30223.7, + "detour_percent": 3154.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Igarapé-Açu", + " End: Trairi", + " Waypoint: Wutan", + "Step 2: Calculate direct distance", + " Start → End: 958.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 31181.8 km", + "Step 4: Calculate detour", + " Detour = 31181.8 - 958.1 = 30223.7 km", + " Detour % = (30223.7 / 958.1) × 100 = 3154.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 3154.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -23.54333, + "lon": -46.41083, + "name": "Guaianases" + }, + "end": { + "lat": 25.85704, + "lon": -80.23699, + "name": "West Little River" + }, + "waypoint": { + "lat": 14.10776, + "lon": 34.09197, + "name": "Al-Fāw" + }, + "question": "Is Al-Fāw approximately on the direct path from Guaianases to West Little River?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6589.5, + "via_waypoint_km": 21331.8, + "detour_km": 14742.3, + "detour_percent": 223.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Guaianases", + " End: West Little River", + " Waypoint: Al-Fāw", + "Step 2: Calculate direct distance", + " Start → End: 6589.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21331.8 km", + "Step 4: Calculate detour", + " Detour = 21331.8 - 6589.5 = 14742.3 km", + " Detour % = (14742.3 / 6589.5) × 100 = 223.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 223.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -26.33639, + "lon": -49.90639, + "name": "Itaiópolis" + }, + "end": { + "lat": 34.77679, + "lon": 32.42451, + "name": "Paphos" + }, + "waypoint": { + "lat": 6.72556, + "lon": 11.25652, + "name": "Gembu" + }, + "question": "Is Gembu approximately on the direct path from Itaiópolis to Paphos?", + "ground_truth": { + "answer": true, + "direct_distance_km": 10997.8, + "via_waypoint_km": 11340.8, + "detour_km": 343.0, + "detour_percent": 3.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Itaiópolis", + " End: Paphos", + " Waypoint: Gembu", + "Step 2: Calculate direct distance", + " Start → End: 10997.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11340.8 km", + "Step 4: Calculate detour", + " Detour = 11340.8 - 10997.8 = 343.0 km", + " Detour % = (343.0 / 10997.8) × 100 = 3.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 3.1% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 41.02931, + "lon": 28.54978, + "name": "Tepecik" + }, + "end": { + "lat": 44.59132, + "lon": -75.68705, + "name": "Brockville" + }, + "waypoint": { + "lat": 45.40797, + "lon": 11.88586, + "name": "Padova" + }, + "question": "Is Padova approximately on the direct path from Tepecik to Brockville?", + "ground_truth": { + "answer": true, + "direct_distance_km": 7873.5, + "via_waypoint_km": 7947.4, + "detour_km": 73.9, + "detour_percent": 0.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tepecik", + " End: Brockville", + " Waypoint: Padova", + "Step 2: Calculate direct distance", + " Start → End: 7873.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 7947.4 km", + "Step 4: Calculate detour", + " Detour = 7947.4 - 7873.5 = 73.9 km", + " Detour % = (73.9 / 7873.5) × 100 = 0.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.9% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -12.6275, + "lon": -38.68, + "name": "São Francisco do Conde" + }, + "end": { + "lat": -21.01111, + "lon": -40.83389, + "name": "Itapemirim" + }, + "waypoint": { + "lat": 26.59034, + "lon": 12.77511, + "name": "Ubari" + }, + "question": "Is Ubari approximately on the direct path from São Francisco do Conde to Itapemirim?", + "ground_truth": { + "answer": false, + "direct_distance_km": 959.9, + "via_waypoint_km": 14895.8, + "detour_km": 13935.8, + "detour_percent": 1451.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: São Francisco do Conde", + " End: Itapemirim", + " Waypoint: Ubari", + "Step 2: Calculate direct distance", + " Start → End: 959.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14895.8 km", + "Step 4: Calculate detour", + " Detour = 14895.8 - 959.9 = 13935.8 km", + " Detour % = (13935.8 / 959.9) × 100 = 1451.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1451.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -23.42528, + "lon": -51.93861, + "name": "Maringá" + }, + "end": { + "lat": -33.67571, + "lon": -65.45783, + "name": "Villa Mercedes" + }, + "waypoint": { + "lat": -34.424, + "lon": 150.89345, + "name": "Wollongong" + }, + "question": "Is Wollongong approximately on the direct path from Maringá to Villa Mercedes?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1741.3, + "via_waypoint_km": 24693.1, + "detour_km": 22951.8, + "detour_percent": 1318.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Maringá", + " End: Villa Mercedes", + " Waypoint: Wollongong", + "Step 2: Calculate direct distance", + " Start → End: 1741.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24693.1 km", + "Step 4: Calculate detour", + " Detour = 24693.1 - 1741.3 = 22951.8 km", + " Detour % = (22951.8 / 1741.3) × 100 = 1318.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1318.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 0.36402, + "lon": 33.81759, + "name": "Namavundu" + }, + "end": { + "lat": 37.10927, + "lon": 79.93433, + "name": "Gujangbagh" + }, + "waypoint": { + "lat": -7.84472, + "lon": -35.31972, + "name": "Lagoa do Carro" + }, + "question": "Is Lagoa do Carro approximately on the direct path from Namavundu to Gujangbagh?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6246.6, + "via_waypoint_km": 20481.2, + "detour_km": 14234.6, + "detour_percent": 227.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Namavundu", + " End: Gujangbagh", + " Waypoint: Lagoa do Carro", + "Step 2: Calculate direct distance", + " Start → End: 6246.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20481.2 km", + "Step 4: Calculate detour", + " Detour = 20481.2 - 6246.6 = 14234.6 km", + " Detour % = (14234.6 / 6246.6) × 100 = 227.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 227.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 49.05, + "lon": -122.79167, + "name": "South Surrey" + }, + "end": { + "lat": -37.84205, + "lon": 145.0694, + "name": "Camberwell" + }, + "waypoint": { + "lat": 41.93233, + "lon": 25.90172, + "name": "Harmanli" + }, + "question": "Is Harmanli approximately on the direct path from South Surrey to Camberwell?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13216.6, + "via_waypoint_km": 24359.9, + "detour_km": 11143.2, + "detour_percent": 84.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: South Surrey", + " End: Camberwell", + " Waypoint: Harmanli", + "Step 2: Calculate direct distance", + " Start → End: 13216.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24359.9 km", + "Step 4: Calculate detour", + " Detour = 24359.9 - 13216.6 = 11143.2 km", + " Detour % = (11143.2 / 13216.6) × 100 = 84.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 84.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -39.6381, + "lon": 176.84918, + "name": "Hastings" + }, + "end": { + "lat": 37.14071, + "lon": 79.83509, + "name": "Bageqi" + }, + "waypoint": { + "lat": 51.57558, + "lon": 8.10619, + "name": "Soest" + }, + "question": "Is Soest approximately on the direct path from Hastings to Bageqi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13053.8, + "via_waypoint_km": 24107.9, + "detour_km": 11054.1, + "detour_percent": 84.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Hastings", + " End: Bageqi", + " Waypoint: Soest", + "Step 2: Calculate direct distance", + " Start → End: 13053.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24107.9 km", + "Step 4: Calculate detour", + " Detour = 24107.9 - 13053.8 = 11054.1 km", + " Detour % = (11054.1 / 13053.8) × 100 = 84.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 84.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 8.43128, + "lon": 77.01285, + "name": "Kalliyoor" + }, + "end": { + "lat": -0.68393, + "lon": 37.35701, + "name": "Wanguru" + }, + "waypoint": { + "lat": 53.16495, + "lon": -1.19384, + "name": "Mansfield Woodhouse" + }, + "question": "Is Mansfield Woodhouse approximately on the direct path from Kalliyoor to Wanguru?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4509.7, + "via_waypoint_km": 15440.4, + "detour_km": 10930.7, + "detour_percent": 242.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kalliyoor", + " End: Wanguru", + " Waypoint: Mansfield Woodhouse", + "Step 2: Calculate direct distance", + " Start → End: 4509.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15440.4 km", + "Step 4: Calculate detour", + " Detour = 15440.4 - 4509.7 = 10930.7 km", + " Detour % = (10930.7 / 4509.7) × 100 = 242.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 242.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 33.43443, + "lon": -5.22126, + "name": "Azrou" + }, + "end": { + "lat": -3.96333, + "lon": -45.65833, + "name": "Santa Luzia" + }, + "waypoint": { + "lat": -29.66917, + "lon": -52.78889, + "name": "Candelária" + }, + "question": "Is Candelária approximately on the direct path from Azrou to Santa Luzia?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5943.0, + "via_waypoint_km": 11572.4, + "detour_km": 5629.4, + "detour_percent": 94.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Azrou", + " End: Santa Luzia", + " Waypoint: Candelária", + "Step 2: Calculate direct distance", + " Start → End: 5943.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11572.4 km", + "Step 4: Calculate detour", + " Detour = 11572.4 - 5943.0 = 5629.4 km", + " Detour % = (5629.4 / 5943.0) × 100 = 94.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 94.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 35.70222, + "lon": 139.47556, + "name": "Kokubunji" + }, + "end": { + "lat": 32.08333, + "lon": 130.36667, + "name": "Izumi" + }, + "waypoint": { + "lat": 10.7433, + "lon": -11.10778, + "name": "Dabola" + }, + "question": "Is Dabola approximately on the direct path from Kokubunji to Izumi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 931.6, + "via_waypoint_km": 27732.7, + "detour_km": 26801.1, + "detour_percent": 2877.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kokubunji", + " End: Izumi", + " Waypoint: Dabola", + "Step 2: Calculate direct distance", + " Start → End: 931.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27732.7 km", + "Step 4: Calculate detour", + " Detour = 27732.7 - 931.6 = 26801.1 km", + " Detour % = (26801.1 / 931.6) × 100 = 2877.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2877.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 5.0847, + "lon": -1.35093, + "name": "Elmina" + }, + "end": { + "lat": 11.28333, + "lon": 36.21667, + "name": "Mambuk" + }, + "waypoint": { + "lat": 39.49472, + "lon": 125.47361, + "name": "Sil-li" + }, + "question": "Is Sil-li approximately on the direct path from Elmina to Mambuk?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4188.2, + "via_waypoint_km": 21809.1, + "detour_km": 17620.9, + "detour_percent": 420.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Elmina", + " End: Mambuk", + " Waypoint: Sil-li", + "Step 2: Calculate direct distance", + " Start → End: 4188.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21809.1 km", + "Step 4: Calculate detour", + " Detour = 21809.1 - 4188.2 = 17620.9 km", + " Detour % = (17620.9 / 4188.2) × 100 = 420.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 420.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.47352, + "lon": -0.24839, + "name": "Barnes" + }, + "end": { + "lat": -20.21111, + "lon": -50.92583, + "name": "Santa Fé do Sul" + }, + "waypoint": { + "lat": 8.85031, + "lon": 76.69516, + "name": "Mīnād" + }, + "question": "Is Mīnād approximately on the direct path from Barnes to Santa Fé do Sul?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9368.6, + "via_waypoint_km": 22597.2, + "detour_km": 13228.7, + "detour_percent": 141.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Barnes", + " End: Santa Fé do Sul", + " Waypoint: Mīnād", + "Step 2: Calculate direct distance", + " Start → End: 9368.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22597.2 km", + "Step 4: Calculate detour", + " Detour = 22597.2 - 9368.6 = 13228.7 km", + " Detour % = (13228.7 / 9368.6) × 100 = 141.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 141.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 16.51378, + "lon": -15.80503, + "name": "Rosso" + }, + "end": { + "lat": 9.88333, + "lon": 38.26667, + "name": "Dayē" + }, + "waypoint": { + "lat": -20.25806, + "lon": -42.03361, + "name": "Manhuaçu" + }, + "question": "Is Manhuaçu approximately on the direct path from Rosso to Dayē?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5883.8, + "via_waypoint_km": 14385.1, + "detour_km": 8501.3, + "detour_percent": 144.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Rosso", + " End: Dayē", + " Waypoint: Manhuaçu", + "Step 2: Calculate direct distance", + " Start → End: 5883.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14385.1 km", + "Step 4: Calculate detour", + " Detour = 14385.1 - 5883.8 = 8501.3 km", + " Detour % = (8501.3 / 5883.8) × 100 = 144.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 144.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.75185, + "lon": 11.97093, + "name": "Köthen" + }, + "end": { + "lat": 45.02125, + "lon": 7.62314, + "name": "Mirafiori Sud" + }, + "waypoint": { + "lat": 14.44776, + "lon": -11.44393, + "name": "Kayes" + }, + "question": "Is Kayes approximately on the direct path from Köthen to Mirafiori Sud?", + "ground_truth": { + "answer": false, + "direct_distance_km": 814.0, + "via_waypoint_km": 8486.4, + "detour_km": 7672.4, + "detour_percent": 942.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Köthen", + " End: Mirafiori Sud", + " Waypoint: Kayes", + "Step 2: Calculate direct distance", + " Start → End: 814.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 8486.4 km", + "Step 4: Calculate detour", + " Detour = 8486.4 - 814.0 = 7672.4 km", + " Detour % = (7672.4 / 814.0) × 100 = 942.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 942.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 49.21141, + "lon": 119.75582, + "name": "Hulunbuir" + }, + "end": { + "lat": 7.95508, + "lon": 98.28322, + "name": "Ban Kamala" + }, + "waypoint": { + "lat": 38.93925, + "lon": 33.5386, + "name": "Şereflikoçhisar" + }, + "question": "Is Şereflikoçhisar approximately on the direct path from Hulunbuir to Ban Kamala?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5006.0, + "via_waypoint_km": 13879.1, + "detour_km": 8873.1, + "detour_percent": 177.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Hulunbuir", + " End: Ban Kamala", + " Waypoint: Şereflikoçhisar", + "Step 2: Calculate direct distance", + " Start → End: 5006.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13879.1 km", + "Step 4: Calculate detour", + " Detour = 13879.1 - 5006.0 = 8873.1 km", + " Detour % = (8873.1 / 5006.0) × 100 = 177.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 177.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 37.91, + "lon": 140.11667, + "name": "Yonezawa" + }, + "end": { + "lat": 42.76537, + "lon": -71.46757, + "name": "Nashua" + }, + "waypoint": { + "lat": 16.96376, + "lon": -99.09616, + "name": "Ayutla de los Libres" + }, + "question": "Is Ayutla de los Libres approximately on the direct path from Yonezawa to Nashua?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10493.7, + "via_waypoint_km": 15215.7, + "detour_km": 4722.0, + "detour_percent": 45.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Yonezawa", + " End: Nashua", + " Waypoint: Ayutla de los Libres", + "Step 2: Calculate direct distance", + " Start → End: 10493.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15215.7 km", + "Step 4: Calculate detour", + " Detour = 15215.7 - 10493.7 = 4722.0 km", + " Detour % = (4722.0 / 10493.7) × 100 = 45.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 45.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 10.03241, + "lon": 78.3393, + "name": "Melur" + }, + "end": { + "lat": 39.0425, + "lon": 127.52389, + "name": "Anbyŏn-ŭp" + }, + "waypoint": { + "lat": -37.8739, + "lon": 145.02485, + "name": "Caulfield North" + }, + "question": "Is Caulfield North approximately on the direct path from Melur to Anbyŏn-ŭp?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5830.8, + "via_waypoint_km": 17458.0, + "detour_km": 11627.2, + "detour_percent": 199.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Melur", + " End: Anbyŏn-ŭp", + " Waypoint: Caulfield North", + "Step 2: Calculate direct distance", + " Start → End: 5830.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17458.0 km", + "Step 4: Calculate detour", + " Detour = 17458.0 - 5830.8 = 11627.2 km", + " Detour % = (11627.2 / 5830.8) × 100 = 199.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 199.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 35.03823, + "lon": 9.48494, + "name": "Sidi Bouzid" + }, + "end": { + "lat": 41.23922, + "lon": -81.34594, + "name": "Streetsboro" + }, + "waypoint": { + "lat": 51.34305, + "lon": -0.82985, + "name": "Yateley" + }, + "question": "Is Yateley approximately on the direct path from Sidi Bouzid to Streetsboro?", + "ground_truth": { + "answer": true, + "direct_distance_km": 7596.1, + "via_waypoint_km": 7962.0, + "detour_km": 365.9, + "detour_percent": 4.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sidi Bouzid", + " End: Streetsboro", + " Waypoint: Yateley", + "Step 2: Calculate direct distance", + " Start → End: 7596.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 7962.0 km", + "Step 4: Calculate detour", + " Detour = 7962.0 - 7596.1 = 365.9 km", + " Detour % = (365.9 / 7596.1) × 100 = 4.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 4.8% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.02102, + "lon": 17.32095, + "name": "Jelcz" + }, + "end": { + "lat": 7.14167, + "lon": 124.38056, + "name": "Pagaluñgan" + }, + "waypoint": { + "lat": 23.12518, + "lon": -82.30067, + "name": "Guanabacoa" + }, + "question": "Is Guanabacoa approximately on the direct path from Jelcz to Pagaluñgan?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10559.1, + "via_waypoint_km": 24240.6, + "detour_km": 13681.6, + "detour_percent": 129.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Jelcz", + " End: Pagaluñgan", + " Waypoint: Guanabacoa", + "Step 2: Calculate direct distance", + " Start → End: 10559.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24240.6 km", + "Step 4: Calculate detour", + " Detour = 24240.6 - 10559.1 = 13681.6 km", + " Detour % = (13681.6 / 10559.1) × 100 = 129.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 129.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 5.90702, + "lon": 116.10146, + "name": "Donggongon" + }, + "end": { + "lat": -4.00092, + "lon": -49.5068, + "name": "Breu Branco" + }, + "waypoint": { + "lat": 41.85003, + "lon": -87.65005, + "name": "Chicago" + }, + "question": "Is Chicago approximately on the direct path from Donggongon to Breu Branco?", + "ground_truth": { + "answer": false, + "direct_distance_km": 18406.9, + "via_waypoint_km": 20572.9, + "detour_km": 2166.1, + "detour_percent": 11.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Donggongon", + " End: Breu Branco", + " Waypoint: Chicago", + "Step 2: Calculate direct distance", + " Start → End: 18406.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20572.9 km", + "Step 4: Calculate detour", + " Detour = 20572.9 - 18406.9 = 2166.1 km", + " Detour % = (2166.1 / 18406.9) × 100 = 11.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 11.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 12.57025, + "lon": 78.57318, + "name": "Jalārpet" + }, + "end": { + "lat": 32.99125, + "lon": 36.06093, + "name": "Jāsim" + }, + "waypoint": { + "lat": 19.15516, + "lon": 73.26553, + "name": "Badlapur" + }, + "question": "Is Badlapur approximately on the direct path from Jalārpet to Jāsim?", + "ground_truth": { + "answer": true, + "direct_distance_km": 4868.5, + "via_waypoint_km": 4921.5, + "detour_km": 53.0, + "detour_percent": 1.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Jalārpet", + " End: Jāsim", + " Waypoint: Badlapur", + "Step 2: Calculate direct distance", + " Start → End: 4868.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 4921.5 km", + "Step 4: Calculate detour", + " Detour = 4921.5 - 4868.5 = 53.0 km", + " Detour % = (53.0 / 4868.5) × 100 = 1.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1.1% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -15.16538, + "lon": -48.28416, + "name": "Padre Bernardo" + }, + "end": { + "lat": -4.14167, + "lon": -40.58222, + "name": "Reriutaba" + }, + "waypoint": { + "lat": 41.21408, + "lon": 13.57082, + "name": "Gaeta" + }, + "question": "Is Gaeta approximately on the direct path from Padre Bernardo to Reriutaba?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1487.6, + "via_waypoint_km": 16361.1, + "detour_km": 14873.5, + "detour_percent": 999.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Padre Bernardo", + " End: Reriutaba", + " Waypoint: Gaeta", + "Step 2: Calculate direct distance", + " Start → End: 1487.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16361.1 km", + "Step 4: Calculate detour", + " Detour = 16361.1 - 1487.6 = 14873.5 km", + " Detour % = (14873.5 / 1487.6) × 100 = 999.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 999.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -15.90852, + "lon": -47.94053, + "name": "Park Way" + }, + "end": { + "lat": 18.43117, + "lon": -72.86521, + "name": "Tigwav" + }, + "waypoint": { + "lat": -18.63333, + "lon": 47.7, + "name": "Sadabe" + }, + "question": "Is Sadabe approximately on the direct path from Park Way to Tigwav?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4693.1, + "via_waypoint_km": 23800.5, + "detour_km": 19107.4, + "detour_percent": 407.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Park Way", + " End: Tigwav", + " Waypoint: Sadabe", + "Step 2: Calculate direct distance", + " Start → End: 4693.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23800.5 km", + "Step 4: Calculate detour", + " Detour = 23800.5 - 4693.1 = 19107.4 km", + " Detour % = (19107.4 / 4693.1) × 100 = 407.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 407.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 14.81154, + "lon": -91.45536, + "name": "Cantel" + }, + "end": { + "lat": 43.19786, + "lon": -70.87367, + "name": "Dover" + }, + "waypoint": { + "lat": -18.93444, + "lon": 32.87556, + "name": "Manica" + }, + "question": "Is Manica approximately on the direct path from Cantel to Dover?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3714.7, + "via_waypoint_km": 26629.1, + "detour_km": 22914.4, + "detour_percent": 616.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Cantel", + " End: Dover", + " Waypoint: Manica", + "Step 2: Calculate direct distance", + " Start → End: 3714.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26629.1 km", + "Step 4: Calculate detour", + " Detour = 26629.1 - 3714.7 = 22914.4 km", + " Detour % = (22914.4 / 3714.7) × 100 = 616.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 616.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 30.11107, + "lon": -81.64176, + "name": "Fruit Cove" + }, + "end": { + "lat": 18.98196, + "lon": -97.78363, + "name": "Acatzingo" + }, + "waypoint": { + "lat": 45.56304, + "lon": 8.05796, + "name": "Biella" + }, + "question": "Is Biella approximately on the direct path from Fruit Cove to Acatzingo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2044.6, + "via_waypoint_km": 17331.0, + "detour_km": 15286.4, + "detour_percent": 747.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Fruit Cove", + " End: Acatzingo", + " Waypoint: Biella", + "Step 2: Calculate direct distance", + " Start → End: 2044.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17331.0 km", + "Step 4: Calculate detour", + " Detour = 17331.0 - 2044.6 = 15286.4 km", + " Detour % = (15286.4 / 2044.6) × 100 = 747.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 747.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 19.00436, + "lon": 73.94346, + "name": "Manchar" + }, + "end": { + "lat": 27.4, + "lon": 74.91667, + "name": "Losal" + }, + "waypoint": { + "lat": 43.01668, + "lon": -88.00703, + "name": "West Allis" + }, + "question": "Is West Allis approximately on the direct path from Manchar to Losal?", + "ground_truth": { + "answer": false, + "direct_distance_km": 938.8, + "via_waypoint_km": 24868.2, + "detour_km": 23929.4, + "detour_percent": 2548.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Manchar", + " End: Losal", + " Waypoint: West Allis", + "Step 2: Calculate direct distance", + " Start → End: 938.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24868.2 km", + "Step 4: Calculate detour", + " Detour = 24868.2 - 938.8 = 23929.4 km", + " Detour % = (23929.4 / 938.8) × 100 = 2548.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2548.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -23.48611, + "lon": -46.34833, + "name": "Itaquaquecetuba" + }, + "end": { + "lat": -6.04167, + "lon": -38.45972, + "name": "Pereiro" + }, + "waypoint": { + "lat": 0.05196, + "lon": 35.72734, + "name": "Eldama Ravine" + }, + "question": "Is Eldama Ravine approximately on the direct path from Itaquaquecetuba to Pereiro?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2115.5, + "via_waypoint_km": 17462.0, + "detour_km": 15346.5, + "detour_percent": 725.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Itaquaquecetuba", + " End: Pereiro", + " Waypoint: Eldama Ravine", + "Step 2: Calculate direct distance", + " Start → End: 2115.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17462.0 km", + "Step 4: Calculate detour", + " Detour = 17462.0 - 2115.5 = 15346.5 km", + " Detour % = (15346.5 / 2115.5) × 100 = 725.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 725.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 21.16772, + "lon": 75.69762, + "name": "Yāval" + }, + "end": { + "lat": 50.74699, + "lon": 6.49069, + "name": "Kreuzau" + }, + "waypoint": { + "lat": -8.28773, + "lon": -35.02925, + "name": "Cabo de Santo Agostinho" + }, + "question": "Is Cabo de Santo Agostinho approximately on the direct path from Yāval to Kreuzau?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6751.7, + "via_waypoint_km": 20162.1, + "detour_km": 13410.4, + "detour_percent": 198.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Yāval", + " End: Kreuzau", + " Waypoint: Cabo de Santo Agostinho", + "Step 2: Calculate direct distance", + " Start → End: 6751.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20162.1 km", + "Step 4: Calculate detour", + " Detour = 20162.1 - 6751.7 = 13410.4 km", + " Detour % = (13410.4 / 6751.7) × 100 = 198.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 198.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -33.60047, + "lon": 22.19955, + "name": "Oudtshoorn" + }, + "end": { + "lat": 24.79686, + "lon": 85.00385, + "name": "Gaya" + }, + "waypoint": { + "lat": -23.96083, + "lon": -46.33361, + "name": "Santos" + }, + "question": "Is Santos approximately on the direct path from Oudtshoorn to Gaya?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9283.0, + "via_waypoint_km": 21760.0, + "detour_km": 12476.9, + "detour_percent": 134.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Oudtshoorn", + " End: Gaya", + " Waypoint: Santos", + "Step 2: Calculate direct distance", + " Start → End: 9283.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21760.0 km", + "Step 4: Calculate detour", + " Detour = 21760.0 - 9283.0 = 12476.9 km", + " Detour % = (12476.9 / 9283.0) × 100 = 134.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 134.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -18.8, + "lon": 47.48333, + "name": "Ivato" + }, + "end": { + "lat": 35.42873, + "lon": 51.57757, + "name": "Qarchak" + }, + "waypoint": { + "lat": 39.50263, + "lon": -0.44079, + "name": "Paterna" + }, + "question": "Is Paterna approximately on the direct path from Ivato to Qarchak?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6045.4, + "via_waypoint_km": 12719.4, + "detour_km": 6674.0, + "detour_percent": 110.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ivato", + " End: Qarchak", + " Waypoint: Paterna", + "Step 2: Calculate direct distance", + " Start → End: 6045.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12719.4 km", + "Step 4: Calculate detour", + " Detour = 12719.4 - 6045.4 = 6674.0 km", + " Detour % = (6674.0 / 6045.4) × 100 = 110.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 110.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -8.87167, + "lon": -49.71278, + "name": "Santa Maria das Barreiras" + }, + "end": { + "lat": -22.22111, + "lon": -54.80556, + "name": "Dourados" + }, + "waypoint": { + "lat": 33.94483, + "lon": -6.93106, + "name": "El Harhoura" + }, + "question": "Is El Harhoura approximately on the direct path from Santa Maria das Barreiras to Dourados?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1580.9, + "via_waypoint_km": 14597.3, + "detour_km": 13016.4, + "detour_percent": 823.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Santa Maria das Barreiras", + " End: Dourados", + " Waypoint: El Harhoura", + "Step 2: Calculate direct distance", + " Start → End: 1580.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14597.3 km", + "Step 4: Calculate detour", + " Detour = 14597.3 - 1580.9 = 13016.4 km", + " Detour % = (13016.4 / 1580.9) × 100 = 823.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 823.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 44.31667, + "lon": 126.8, + "name": "Jishu" + }, + "end": { + "lat": 34.66667, + "lon": 116.58333, + "name": "Sunlou" + }, + "waypoint": { + "lat": 35.58486, + "lon": -80.81007, + "name": "Mooresville" + }, + "question": "Is Mooresville approximately on the direct path from Jishu to Sunlou?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1383.3, + "via_waypoint_km": 22701.5, + "detour_km": 21318.1, + "detour_percent": 1541.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Jishu", + " End: Sunlou", + " Waypoint: Mooresville", + "Step 2: Calculate direct distance", + " Start → End: 1383.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22701.5 km", + "Step 4: Calculate detour", + " Detour = 22701.5 - 1383.3 = 21318.1 km", + " Detour % = (21318.1 / 1383.3) × 100 = 1541.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1541.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -25.96553, + "lon": 32.58322, + "name": "Maputo" + }, + "end": { + "lat": 15.46063, + "lon": 99.89166, + "name": "Thap Than" + }, + "waypoint": { + "lat": 42.49698, + "lon": -82.88881, + "name": "Saint Clair Shores" + }, + "question": "Is Saint Clair Shores approximately on the direct path from Maputo to Thap Than?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8610.3, + "via_waypoint_km": 27520.4, + "detour_km": 18910.2, + "detour_percent": 219.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Maputo", + " End: Thap Than", + " Waypoint: Saint Clair Shores", + "Step 2: Calculate direct distance", + " Start → End: 8610.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27520.4 km", + "Step 4: Calculate detour", + " Detour = 27520.4 - 8610.3 = 18910.2 km", + " Detour % = (18910.2 / 8610.3) × 100 = 219.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 219.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -11.72917, + "lon": -49.06861, + "name": "Gurupi" + }, + "end": { + "lat": 24.64691, + "lon": 77.3113, + "name": "Guna" + }, + "waypoint": { + "lat": 23.53798, + "lon": 93.3732, + "name": "Ngūr" + }, + "question": "Is Ngūr approximately on the direct path from Gurupi to Guna?", + "ground_truth": { + "answer": false, + "direct_distance_km": 14208.4, + "via_waypoint_km": 17473.5, + "detour_km": 3265.1, + "detour_percent": 23.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Gurupi", + " End: Guna", + " Waypoint: Ngūr", + "Step 2: Calculate direct distance", + " Start → End: 14208.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17473.5 km", + "Step 4: Calculate detour", + " Detour = 17473.5 - 14208.4 = 3265.1 km", + " Detour % = (3265.1 / 14208.4) × 100 = 23.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 23.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.61667, + "lon": 5.54861, + "name": "Veghel" + }, + "end": { + "lat": 1.34917, + "lon": 103.84361, + "name": "Thomson" + }, + "waypoint": { + "lat": 14.70802, + "lon": 101.41614, + "name": "Pak Chong" + }, + "question": "Is Pak Chong approximately on the direct path from Veghel to Thomson?", + "ground_truth": { + "answer": true, + "direct_distance_km": 10460.9, + "via_waypoint_km": 10637.1, + "detour_km": 176.2, + "detour_percent": 1.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Veghel", + " End: Thomson", + " Waypoint: Pak Chong", + "Step 2: Calculate direct distance", + " Start → End: 10460.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10637.1 km", + "Step 4: Calculate detour", + " Detour = 10637.1 - 10460.9 = 176.2 km", + " Detour % = (176.2 / 10460.9) × 100 = 1.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1.7% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 28.59572, + "lon": 77.30189, + "name": "Chilla Soroda Bāngar" + }, + "end": { + "lat": -7.35207, + "lon": 14.84629, + "name": "Songo" + }, + "waypoint": { + "lat": 9.80955, + "lon": -3.34577, + "name": "Doropo" + }, + "question": "Is Doropo approximately on the direct path from Chilla Soroda Bāngar to Songo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7787.6, + "via_waypoint_km": 11355.4, + "detour_km": 3567.9, + "detour_percent": 45.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Chilla Soroda Bāngar", + " End: Songo", + " Waypoint: Doropo", + "Step 2: Calculate direct distance", + " Start → End: 7787.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11355.4 km", + "Step 4: Calculate detour", + " Detour = 11355.4 - 7787.6 = 3567.9 km", + " Detour % = (3567.9 / 7787.6) × 100 = 45.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 45.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.37227, + "lon": 119.58208, + "name": "Kanjia" + }, + "end": { + "lat": 25.50958, + "lon": 85.30504, + "name": "Fatwa" + }, + "waypoint": { + "lat": 53.65278, + "lon": -6.68139, + "name": "Navan" + }, + "question": "Is Navan approximately on the direct path from Kanjia to Fatwa?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3463.0, + "via_waypoint_km": 16630.9, + "detour_km": 13167.9, + "detour_percent": 380.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kanjia", + " End: Fatwa", + " Waypoint: Navan", + "Step 2: Calculate direct distance", + " Start → End: 3463.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16630.9 km", + "Step 4: Calculate detour", + " Detour = 16630.9 - 3463.0 = 13167.9 km", + " Detour % = (13167.9 / 3463.0) × 100 = 380.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 380.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 39.19042, + "lon": -0.43572, + "name": "Algemesí" + }, + "end": { + "lat": 7.83389, + "lon": -72.47417, + "name": "Villa del Rosario" + }, + "waypoint": { + "lat": 6.63105, + "lon": 8.05814, + "name": "Effium" + }, + "question": "Is Effium approximately on the direct path from Algemesí to Villa del Rosario?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7912.8, + "via_waypoint_km": 12589.2, + "detour_km": 4676.4, + "detour_percent": 59.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Algemesí", + " End: Villa del Rosario", + " Waypoint: Effium", + "Step 2: Calculate direct distance", + " Start → End: 7912.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12589.2 km", + "Step 4: Calculate detour", + " Detour = 12589.2 - 7912.8 = 4676.4 km", + " Detour % = (4676.4 / 7912.8) × 100 = 59.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 59.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 41.91886, + "lon": 8.73812, + "name": "Ajaccio" + }, + "end": { + "lat": 5.20913, + "lon": -1.06058, + "name": "Saltpond" + }, + "waypoint": { + "lat": 15.85615, + "lon": -5.79067, + "name": "Mbera" + }, + "question": "Is Mbera approximately on the direct path from Ajaccio to Saltpond?", + "ground_truth": { + "answer": true, + "direct_distance_km": 4195.8, + "via_waypoint_km": 4505.6, + "detour_km": 309.8, + "detour_percent": 7.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ajaccio", + " End: Saltpond", + " Waypoint: Mbera", + "Step 2: Calculate direct distance", + " Start → End: 4195.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 4505.6 km", + "Step 4: Calculate detour", + " Detour = 4505.6 - 4195.8 = 309.8 km", + " Detour % = (309.8 / 4195.8) × 100 = 7.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 7.4% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 50.72885, + "lon": -113.98281, + "name": "Okotoks" + }, + "end": { + "lat": -2.24444, + "lon": -49.49583, + "name": "Cametá" + }, + "waypoint": { + "lat": -4.62778, + "lon": -43.47056, + "name": "Aldeias Altas" + }, + "question": "Is Aldeias Altas approximately on the direct path from Okotoks to Cametá?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8449.6, + "via_waypoint_km": 9780.4, + "detour_km": 1330.8, + "detour_percent": 15.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Okotoks", + " End: Cametá", + " Waypoint: Aldeias Altas", + "Step 2: Calculate direct distance", + " Start → End: 8449.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9780.4 km", + "Step 4: Calculate detour", + " Detour = 9780.4 - 8449.6 = 1330.8 km", + " Detour % = (1330.8 / 8449.6) × 100 = 15.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 15.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 33.95015, + "lon": -118.03917, + "name": "South Whittier" + }, + "end": { + "lat": -25.42861, + "lon": -48.71194, + "name": "Antonina" + }, + "waypoint": { + "lat": -33.963, + "lon": 22.46173, + "name": "George" + }, + "question": "Is George approximately on the direct path from South Whittier to Antonina?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9850.3, + "via_waypoint_km": 23201.5, + "detour_km": 13351.2, + "detour_percent": 135.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: South Whittier", + " End: Antonina", + " Waypoint: George", + "Step 2: Calculate direct distance", + " Start → End: 9850.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23201.5 km", + "Step 4: Calculate detour", + " Detour = 23201.5 - 9850.3 = 13351.2 km", + " Detour % = (13351.2 / 9850.3) × 100 = 135.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 135.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -22.91769, + "lon": -43.18812, + "name": "Santa Teresa" + }, + "end": { + "lat": 34.3827, + "lon": 8.15549, + "name": "Ar Rudayyif" + }, + "waypoint": { + "lat": 41.44163, + "lon": 2.17727, + "name": "Nou Barris" + }, + "question": "Is Nou Barris approximately on the direct path from Santa Teresa to Ar Rudayyif?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8365.4, + "via_waypoint_km": 9489.6, + "detour_km": 1124.3, + "detour_percent": 13.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Santa Teresa", + " End: Ar Rudayyif", + " Waypoint: Nou Barris", + "Step 2: Calculate direct distance", + " Start → End: 8365.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9489.6 km", + "Step 4: Calculate detour", + " Detour = 9489.6 - 8365.4 = 1124.3 km", + " Detour % = (1124.3 / 8365.4) × 100 = 13.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 13.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 8.92416, + "lon": -67.42929, + "name": "Calabozo" + }, + "end": { + "lat": -14.77139, + "lon": -42.655, + "name": "Urandi" + }, + "waypoint": { + "lat": 23.03341, + "lon": 72.46723, + "name": "Bopal" + }, + "question": "Is Bopal approximately on the direct path from Calabozo to Urandi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3794.9, + "via_waypoint_km": 27567.7, + "detour_km": 23772.7, + "detour_percent": 626.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Calabozo", + " End: Urandi", + " Waypoint: Bopal", + "Step 2: Calculate direct distance", + " Start → End: 3794.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27567.7 km", + "Step 4: Calculate detour", + " Detour = 27567.7 - 3794.9 = 23772.7 km", + " Detour % = (23772.7 / 3794.9) × 100 = 626.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 626.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 30.41145, + "lon": -9.55344, + "name": "Dakhla" + }, + "end": { + "lat": 6.1316, + "lon": 0.79853, + "name": "Akatsi" + }, + "waypoint": { + "lat": -9.76667, + "lon": 37.93333, + "name": "Liwale" + }, + "question": "Is Liwale approximately on the direct path from Dakhla to Akatsi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2908.5, + "via_waypoint_km": 11233.6, + "detour_km": 8325.1, + "detour_percent": 286.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Dakhla", + " End: Akatsi", + " Waypoint: Liwale", + "Step 2: Calculate direct distance", + " Start → End: 2908.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11233.6 km", + "Step 4: Calculate detour", + " Detour = 11233.6 - 2908.5 = 8325.1 km", + " Detour % = (8325.1 / 2908.5) × 100 = 286.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 286.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 44.63651, + "lon": -123.10593, + "name": "Albany" + }, + "end": { + "lat": -11.94306, + "lon": -76.70944, + "name": "Chosica" + }, + "waypoint": { + "lat": 40.95753, + "lon": 14.30591, + "name": "Caivano" + }, + "question": "Is Caivano approximately on the direct path from Albany to Chosica?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7833.0, + "via_waypoint_km": 20552.4, + "detour_km": 12719.4, + "detour_percent": 162.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Albany", + " End: Chosica", + " Waypoint: Caivano", + "Step 2: Calculate direct distance", + " Start → End: 7833.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20552.4 km", + "Step 4: Calculate detour", + " Detour = 20552.4 - 7833.0 = 12719.4 km", + " Detour % = (12719.4 / 7833.0) × 100 = 162.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 162.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -33.73257, + "lon": -70.74281, + "name": "Buin" + }, + "end": { + "lat": -27.20338, + "lon": 152.95923, + "name": "Narangba" + }, + "waypoint": { + "lat": 14.2, + "lon": 24.66667, + "name": "Kutum" + }, + "question": "Is Kutum approximately on the direct path from Buin to Narangba?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11821.3, + "via_waypoint_km": 25855.8, + "detour_km": 14034.5, + "detour_percent": 118.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Buin", + " End: Narangba", + " Waypoint: Kutum", + "Step 2: Calculate direct distance", + " Start → End: 11821.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25855.8 km", + "Step 4: Calculate detour", + " Detour = 25855.8 - 11821.3 = 14034.5 km", + " Detour % = (14034.5 / 11821.3) × 100 = 118.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 118.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 16.47667, + "lon": -15.6, + "name": "Dagana" + }, + "end": { + "lat": -7.11799, + "lon": 39.20782, + "name": "Mkuranga" + }, + "waypoint": { + "lat": -21.13389, + "lon": -41.67972, + "name": "Bom Jesus do Itabapoana" + }, + "question": "Is Bom Jesus do Itabapoana approximately on the direct path from Dagana to Mkuranga?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6573.8, + "via_waypoint_km": 13839.1, + "detour_km": 7265.3, + "detour_percent": 110.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Dagana", + " End: Mkuranga", + " Waypoint: Bom Jesus do Itabapoana", + "Step 2: Calculate direct distance", + " Start → End: 6573.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13839.1 km", + "Step 4: Calculate detour", + " Detour = 13839.1 - 6573.8 = 7265.3 km", + " Detour % = (7265.3 / 6573.8) × 100 = 110.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 110.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -19.30323, + "lon": 146.72531, + "name": "Kirwan" + }, + "end": { + "lat": -38.93424, + "lon": -69.23052, + "name": "Cutral-Có" + }, + "waypoint": { + "lat": 25.24425, + "lon": 87.63481, + "name": "Sāhibganj" + }, + "question": "Is Sāhibganj approximately on the direct path from Kirwan to Cutral-Có?", + "ground_truth": { + "answer": false, + "direct_distance_km": 12535.9, + "via_waypoint_km": 25452.3, + "detour_km": 12916.4, + "detour_percent": 103.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kirwan", + " End: Cutral-Có", + " Waypoint: Sāhibganj", + "Step 2: Calculate direct distance", + " Start → End: 12535.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25452.3 km", + "Step 4: Calculate detour", + " Detour = 25452.3 - 12535.9 = 12916.4 km", + " Detour % = (12916.4 / 12535.9) × 100 = 103.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 103.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 25.49539, + "lon": -80.42922, + "name": "Leisure City" + }, + "end": { + "lat": 58.39118, + "lon": 13.84506, + "name": "Skövde" + }, + "waypoint": { + "lat": -9.01222, + "lon": -35.2225, + "name": "Maragogi" + }, + "question": "Is Maragogi approximately on the direct path from Leisure City to Skövde?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7856.0, + "via_waypoint_km": 14902.9, + "detour_km": 7046.9, + "detour_percent": 89.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Leisure City", + " End: Skövde", + " Waypoint: Maragogi", + "Step 2: Calculate direct distance", + " Start → End: 7856.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14902.9 km", + "Step 4: Calculate detour", + " Detour = 14902.9 - 7856.0 = 7046.9 km", + " Detour % = (7046.9 / 7856.0) × 100 = 89.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 89.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 6.848, + "lon": 79.9265, + "name": "Maharagama" + }, + "end": { + "lat": 43.49183, + "lon": -116.42012, + "name": "Kuna" + }, + "waypoint": { + "lat": -32.94433, + "lon": 28.01496, + "name": "Gonubie" + }, + "question": "Is Gonubie approximately on the direct path from Maharagama to Kuna?", + "ground_truth": { + "answer": false, + "direct_distance_km": 14180.2, + "via_waypoint_km": 23764.1, + "detour_km": 9583.9, + "detour_percent": 67.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Maharagama", + " End: Kuna", + " Waypoint: Gonubie", + "Step 2: Calculate direct distance", + " Start → End: 14180.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23764.1 km", + "Step 4: Calculate detour", + " Detour = 23764.1 - 14180.2 = 9583.9 km", + " Detour % = (9583.9 / 14180.2) × 100 = 67.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 67.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -25.44472, + "lon": -49.1925, + "name": "Pinhais" + }, + "end": { + "lat": -33.7511, + "lon": 151.28886, + "name": "Dee Why" + }, + "waypoint": { + "lat": -5.24586, + "lon": 39.76659, + "name": "Chake Chake" + }, + "question": "Is Chake Chake approximately on the direct path from Pinhais to Dee Why?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13086.2, + "via_waypoint_km": 21289.9, + "detour_km": 8203.6, + "detour_percent": 62.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Pinhais", + " End: Dee Why", + " Waypoint: Chake Chake", + "Step 2: Calculate direct distance", + " Start → End: 13086.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21289.9 km", + "Step 4: Calculate detour", + " Detour = 21289.9 - 13086.2 = 8203.6 km", + " Detour % = (8203.6 / 13086.2) × 100 = 62.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 62.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 50.98318, + "lon": 4.46079, + "name": "Zemst" + }, + "end": { + "lat": 5.13825, + "lon": -5.02123, + "name": "Grand-Lahou" + }, + "waypoint": { + "lat": 0.63278, + "lon": 30.62139, + "name": "Kyenjojo" + }, + "question": "Is Kyenjojo approximately on the direct path from Zemst to Grand-Lahou?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5173.4, + "via_waypoint_km": 10104.1, + "detour_km": 4930.8, + "detour_percent": 95.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Zemst", + " End: Grand-Lahou", + " Waypoint: Kyenjojo", + "Step 2: Calculate direct distance", + " Start → End: 5173.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10104.1 km", + "Step 4: Calculate detour", + " Detour = 10104.1 - 5173.4 = 4930.8 km", + " Detour % = (4930.8 / 5173.4) × 100 = 95.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 95.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -16.68528, + "lon": -44.365, + "name": "Coração de Jesus" + }, + "end": { + "lat": 6.52799, + "lon": 3.35411, + "name": "Mushin" + }, + "waypoint": { + "lat": 1.34917, + "lon": 103.94972, + "name": "Tampines New Town" + }, + "question": "Is Tampines New Town approximately on the direct path from Coração de Jesus to Mushin?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5846.9, + "via_waypoint_km": 27311.4, + "detour_km": 21464.6, + "detour_percent": 367.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Coração de Jesus", + " End: Mushin", + " Waypoint: Tampines New Town", + "Step 2: Calculate direct distance", + " Start → End: 5846.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27311.4 km", + "Step 4: Calculate detour", + " Detour = 27311.4 - 5846.9 = 21464.6 km", + " Detour % = (21464.6 / 5846.9) × 100 = 367.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 367.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 18.15174, + "lon": 74.57767, + "name": "Bārāmati" + }, + "end": { + "lat": 40.42821, + "lon": -3.71785, + "name": "Argüelles" + }, + "waypoint": { + "lat": -28.27276, + "lon": 29.12946, + "name": "Harrismith" + }, + "question": "Is Harrismith approximately on the direct path from Bārāmati to Argüelles?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7737.8, + "via_waypoint_km": 15466.0, + "detour_km": 7728.2, + "detour_percent": 99.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bārāmati", + " End: Argüelles", + " Waypoint: Harrismith", + "Step 2: Calculate direct distance", + " Start → End: 7737.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15466.0 km", + "Step 4: Calculate detour", + " Detour = 15466.0 - 7737.8 = 7728.2 km", + " Detour % = (7728.2 / 7737.8) × 100 = 99.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 99.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -34.37589, + "lon": -55.23771, + "name": "Minas" + }, + "end": { + "lat": -20.07528, + "lon": -44.57639, + "name": "Itaúna" + }, + "waypoint": { + "lat": 22.22001, + "lon": 99.69957, + "name": "Nuofu" + }, + "question": "Is Nuofu approximately on the direct path from Minas to Itaúna?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1904.9, + "via_waypoint_km": 33536.1, + "detour_km": 31631.2, + "detour_percent": 1660.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Minas", + " End: Itaúna", + " Waypoint: Nuofu", + "Step 2: Calculate direct distance", + " Start → End: 1904.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 33536.1 km", + "Step 4: Calculate detour", + " Detour = 33536.1 - 1904.9 = 31631.2 km", + " Detour % = (31631.2 / 1904.9) × 100 = 1660.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1660.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 29.41223, + "lon": 76.9547, + "name": "Panipat Taraf Ansar" + }, + "end": { + "lat": 32.34434, + "lon": 74.70507, + "name": "Chawinda" + }, + "waypoint": { + "lat": 35.62664, + "lon": -120.691, + "name": "Paso Robles" + }, + "question": "Is Paso Robles approximately on the direct path from Panipat Taraf Ansar to Chawinda?", + "ground_truth": { + "answer": false, + "direct_distance_km": 390.3, + "via_waypoint_km": 24839.5, + "detour_km": 24449.1, + "detour_percent": 6263.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Panipat Taraf Ansar", + " End: Chawinda", + " Waypoint: Paso Robles", + "Step 2: Calculate direct distance", + " Start → End: 390.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24839.5 km", + "Step 4: Calculate detour", + " Detour = 24839.5 - 390.3 = 24449.1 km", + " Detour % = (24449.1 / 390.3) × 100 = 6263.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 6263.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -20.81917, + "lon": -49.52111, + "name": "Mirassol" + }, + "end": { + "lat": 8.75081, + "lon": -75.87823, + "name": "Montería" + }, + "waypoint": { + "lat": 30.47413, + "lon": 106.63696, + "name": "Guang’an" + }, + "question": "Is Guang’an approximately on the direct path from Mirassol to Montería?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4371.2, + "via_waypoint_km": 33047.7, + "detour_km": 28676.5, + "detour_percent": 656.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mirassol", + " End: Montería", + " Waypoint: Guang’an", + "Step 2: Calculate direct distance", + " Start → End: 4371.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 33047.7 km", + "Step 4: Calculate detour", + " Detour = 33047.7 - 4371.2 = 28676.5 km", + " Detour % = (28676.5 / 4371.2) × 100 = 656.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 656.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 37.49773, + "lon": 13.26676, + "name": "Ribera" + }, + "end": { + "lat": 27.5, + "lon": 83.45, + "name": "Siddharthanagar" + }, + "waypoint": { + "lat": 5.01789, + "lon": -72.74675, + "name": "Tauramena" + }, + "question": "Is Tauramena approximately on the direct path from Ribera to Siddharthanagar?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6526.1, + "via_waypoint_km": 24904.2, + "detour_km": 18378.1, + "detour_percent": 281.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ribera", + " End: Siddharthanagar", + " Waypoint: Tauramena", + "Step 2: Calculate direct distance", + " Start → End: 6526.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24904.2 km", + "Step 4: Calculate detour", + " Detour = 24904.2 - 6526.1 = 18378.1 km", + " Detour % = (18378.1 / 6526.1) × 100 = 281.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 281.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 52.09, + "lon": 6.15556, + "name": "Brummen" + }, + "end": { + "lat": 21.63241, + "lon": 95.24619, + "name": "Yesagyo" + }, + "waypoint": { + "lat": 25.01427, + "lon": 121.46719, + "name": "Banqiao" + }, + "question": "Is Banqiao approximately on the direct path from Brummen to Yesagyo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8066.9, + "via_waypoint_km": 12097.2, + "detour_km": 4030.3, + "detour_percent": 50.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Brummen", + " End: Yesagyo", + " Waypoint: Banqiao", + "Step 2: Calculate direct distance", + " Start → End: 8066.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12097.2 km", + "Step 4: Calculate detour", + " Detour = 12097.2 - 8066.9 = 4030.3 km", + " Detour % = (4030.3 / 8066.9) × 100 = 50.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 50.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 5.8, + "lon": 102.15, + "name": "Tanah Merah" + }, + "end": { + "lat": 9.80062, + "lon": 76.30153, + "name": "Kodamthuruth" + }, + "waypoint": { + "lat": 33.81696, + "lon": -118.03729, + "name": "Cypress" + }, + "question": "Is Cypress approximately on the direct path from Tanah Merah to Kodamthuruth?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2881.1, + "via_waypoint_km": 28845.9, + "detour_km": 25964.8, + "detour_percent": 901.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tanah Merah", + " End: Kodamthuruth", + " Waypoint: Cypress", + "Step 2: Calculate direct distance", + " Start → End: 2881.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 28845.9 km", + "Step 4: Calculate detour", + " Detour = 28845.9 - 2881.1 = 25964.8 km", + " Detour % = (25964.8 / 2881.1) × 100 = 901.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 901.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 50.32797, + "lon": 7.22277, + "name": "Mayen" + }, + "end": { + "lat": 40.09789, + "lon": -74.21764, + "name": "Lakewood" + }, + "waypoint": { + "lat": 14.27537, + "lon": -90.29865, + "name": "Cuilapa" + }, + "question": "Is Cuilapa approximately on the direct path from Mayen to Lakewood?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6155.5, + "via_waypoint_km": 12583.0, + "detour_km": 6427.5, + "detour_percent": 104.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mayen", + " End: Lakewood", + " Waypoint: Cuilapa", + "Step 2: Calculate direct distance", + " Start → End: 6155.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12583.0 km", + "Step 4: Calculate detour", + " Detour = 12583.0 - 6155.5 = 6427.5 km", + " Detour % = (6427.5 / 6155.5) × 100 = 104.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 104.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 18.78378, + "lon": 100.77899, + "name": "Nan" + }, + "end": { + "lat": 39.92083, + "lon": 40.695, + "name": "Aşkale" + }, + "waypoint": { + "lat": 48.83777, + "lon": 10.0933, + "name": "Aalen" + }, + "question": "Is Aalen approximately on the direct path from Nan to Aşkale?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6153.1, + "via_waypoint_km": 11100.8, + "detour_km": 4947.6, + "detour_percent": 80.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Nan", + " End: Aşkale", + " Waypoint: Aalen", + "Step 2: Calculate direct distance", + " Start → End: 6153.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11100.8 km", + "Step 4: Calculate detour", + " Detour = 11100.8 - 6153.1 = 4947.6 km", + " Detour % = (4947.6 / 6153.1) × 100 = 80.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 80.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 29.90536, + "lon": 107.23789, + "name": "Changshouhu" + }, + "end": { + "lat": 43.51121, + "lon": 44.59051, + "name": "Malgobek" + }, + "waypoint": { + "lat": 40.64575, + "lon": -8.64643, + "name": "Aveiro" + }, + "question": "Is Aveiro approximately on the direct path from Changshouhu to Malgobek?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5648.0, + "via_waypoint_km": 14097.6, + "detour_km": 8449.6, + "detour_percent": 149.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Changshouhu", + " End: Malgobek", + " Waypoint: Aveiro", + "Step 2: Calculate direct distance", + " Start → End: 5648.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14097.6 km", + "Step 4: Calculate detour", + " Detour = 14097.6 - 5648.0 = 8449.6 km", + " Detour % = (8449.6 / 5648.0) × 100 = 149.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 149.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 39.01817, + "lon": -77.20859, + "name": "Potomac" + }, + "end": { + "lat": 33.83529, + "lon": -117.9145, + "name": "Anaheim" + }, + "waypoint": { + "lat": 31.55037, + "lon": 105.99381, + "name": "Langzhong" + }, + "question": "Is Langzhong approximately on the direct path from Potomac to Anaheim?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3656.5, + "via_waypoint_km": 23573.0, + "detour_km": 19916.5, + "detour_percent": 544.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Potomac", + " End: Anaheim", + " Waypoint: Langzhong", + "Step 2: Calculate direct distance", + " Start → End: 3656.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23573.0 km", + "Step 4: Calculate detour", + " Detour = 23573.0 - 3656.5 = 19916.5 km", + " Detour % = (19916.5 / 3656.5) × 100 = 544.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 544.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -33.83902, + "lon": 151.23956, + "name": "Mosman" + }, + "end": { + "lat": -7.56222, + "lon": -38.50889, + "name": "Conceição" + }, + "waypoint": { + "lat": 19.95232, + "lon": -102.30781, + "name": "Jacona de Plancarte" + }, + "question": "Is Jacona de Plancarte approximately on the direct path from Mosman to Conceição?", + "ground_truth": { + "answer": false, + "direct_distance_km": 15298.1, + "via_waypoint_km": 20323.9, + "detour_km": 5025.8, + "detour_percent": 32.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mosman", + " End: Conceição", + " Waypoint: Jacona de Plancarte", + "Step 2: Calculate direct distance", + " Start → End: 15298.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20323.9 km", + "Step 4: Calculate detour", + " Detour = 20323.9 - 15298.1 = 5025.8 km", + " Detour % = (5025.8 / 15298.1) × 100 = 32.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 32.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 2.93333, + "lon": 11.98333, + "name": "Sangmélima" + }, + "end": { + "lat": 9.96278, + "lon": 42.49278, + "name": "Ārabī" + }, + "waypoint": { + "lat": 2.2874, + "lon": 97.7884, + "name": "Singkil" + }, + "question": "Is Singkil approximately on the direct path from Sangmélima to Ārabī?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3457.8, + "via_waypoint_km": 15694.1, + "detour_km": 12236.3, + "detour_percent": 353.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sangmélima", + " End: Ārabī", + " Waypoint: Singkil", + "Step 2: Calculate direct distance", + " Start → End: 3457.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15694.1 km", + "Step 4: Calculate detour", + " Detour = 15694.1 - 3457.8 = 12236.3 km", + " Detour % = (12236.3 / 3457.8) × 100 = 353.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 353.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -12.67, + "lon": -39.10194, + "name": "Cruz das Almas" + }, + "end": { + "lat": 29.30135, + "lon": -94.7977, + "name": "Galveston" + }, + "waypoint": { + "lat": 46.89028, + "lon": -71.37222, + "name": "La Haute-Saint-Charles" + }, + "question": "Is La Haute-Saint-Charles approximately on the direct path from Cruz das Almas to Galveston?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7578.0, + "via_waypoint_km": 10173.0, + "detour_km": 2595.0, + "detour_percent": 34.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Cruz das Almas", + " End: Galveston", + " Waypoint: La Haute-Saint-Charles", + "Step 2: Calculate direct distance", + " Start → End: 7578.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10173.0 km", + "Step 4: Calculate detour", + " Detour = 10173.0 - 7578.0 = 2595.0 km", + " Detour % = (2595.0 / 7578.0) × 100 = 34.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 34.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 39.70471, + "lon": -105.08137, + "name": "Lakewood" + }, + "end": { + "lat": 16.69008, + "lon": -98.40797, + "name": "Ometepec" + }, + "waypoint": { + "lat": 46.42135, + "lon": 26.43645, + "name": "Comăneşti" + }, + "question": "Is Comăneşti approximately on the direct path from Lakewood to Ometepec?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2639.3, + "via_waypoint_km": 20388.2, + "detour_km": 17748.9, + "detour_percent": 672.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Lakewood", + " End: Ometepec", + " Waypoint: Comăneşti", + "Step 2: Calculate direct distance", + " Start → End: 2639.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20388.2 km", + "Step 4: Calculate detour", + " Detour = 20388.2 - 2639.3 = 17748.9 km", + " Detour % = (17748.9 / 2639.3) × 100 = 672.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 672.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.81965, + "lon": 19.30384, + "name": "Aleksandrów Łódzki" + }, + "end": { + "lat": 32.64541, + "lon": -85.37828, + "name": "Opelika" + }, + "waypoint": { + "lat": 11.68178, + "lon": 75.6248, + "name": "Edacchēri" + }, + "question": "Is Edacchēri approximately on the direct path from Aleksandrów Łódzki to Opelika?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8118.9, + "via_waypoint_km": 21398.6, + "detour_km": 13279.7, + "detour_percent": 163.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Aleksandrów Łódzki", + " End: Opelika", + " Waypoint: Edacchēri", + "Step 2: Calculate direct distance", + " Start → End: 8118.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21398.6 km", + "Step 4: Calculate detour", + " Detour = 21398.6 - 8118.9 = 13279.7 km", + " Detour % = (13279.7 / 8118.9) × 100 = 163.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 163.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.53628, + "lon": 3.8334, + "name": "Draa el Mizan" + }, + "end": { + "lat": -28.66056, + "lon": -56.00444, + "name": "São Borja" + }, + "waypoint": { + "lat": 37.41926, + "lon": 31.84527, + "name": "Seydişehir" + }, + "question": "Is Seydişehir approximately on the direct path from Draa el Mizan to São Borja?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9569.4, + "via_waypoint_km": 14199.3, + "detour_km": 4629.8, + "detour_percent": 48.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Draa el Mizan", + " End: São Borja", + " Waypoint: Seydişehir", + "Step 2: Calculate direct distance", + " Start → End: 9569.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14199.3 km", + "Step 4: Calculate detour", + " Detour = 14199.3 - 9569.4 = 4629.8 km", + " Detour % = (4629.8 / 9569.4) × 100 = 48.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 48.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -24.95775, + "lon": 27.26543, + "name": "Northam" + }, + "end": { + "lat": 59.32684, + "lon": 18.38975, + "name": "Gustavsberg" + }, + "waypoint": { + "lat": 46.0164, + "lon": -73.4236, + "name": "Joliette" + }, + "question": "Is Joliette approximately on the direct path from Northam to Gustavsberg?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9407.5, + "via_waypoint_km": 18618.3, + "detour_km": 9210.9, + "detour_percent": 97.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Northam", + " End: Gustavsberg", + " Waypoint: Joliette", + "Step 2: Calculate direct distance", + " Start → End: 9407.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18618.3 km", + "Step 4: Calculate detour", + " Detour = 18618.3 - 9407.5 = 9210.9 km", + " Detour % = (9210.9 / 9407.5) × 100 = 97.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 97.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 53.38806, + "lon": -6.37556, + "name": "Blanchardstown" + }, + "end": { + "lat": 6.41667, + "lon": 38.31667, + "name": "Dīla" + }, + "waypoint": { + "lat": 13.98333, + "lon": -14.8, + "name": "Koungheul" + }, + "question": "Is Koungheul approximately on the direct path from Blanchardstown to Dīla?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6590.3, + "via_waypoint_km": 10305.7, + "detour_km": 3715.4, + "detour_percent": 56.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Blanchardstown", + " End: Dīla", + " Waypoint: Koungheul", + "Step 2: Calculate direct distance", + " Start → End: 6590.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10305.7 km", + "Step 4: Calculate detour", + " Detour = 10305.7 - 6590.3 = 3715.4 km", + " Detour % = (3715.4 / 6590.3) × 100 = 56.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 56.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -4.36667, + "lon": 34.2, + "name": "Shelui" + }, + "end": { + "lat": 17.66846, + "lon": 80.88887, + "name": "Bhadrāchalam" + }, + "waypoint": { + "lat": -12.11331, + "lon": -77.03274, + "name": "Miraflores" + }, + "question": "Is Miraflores approximately on the direct path from Shelui to Bhadrāchalam?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5676.9, + "via_waypoint_km": 29763.5, + "detour_km": 24086.6, + "detour_percent": 424.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Shelui", + " End: Bhadrāchalam", + " Waypoint: Miraflores", + "Step 2: Calculate direct distance", + " Start → End: 5676.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 29763.5 km", + "Step 4: Calculate detour", + " Detour = 29763.5 - 5676.9 = 24086.6 km", + " Detour % = (24086.6 / 5676.9) × 100 = 424.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 424.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 18.40411, + "lon": -66.20878, + "name": "Candelaria" + }, + "end": { + "lat": 8.72851, + "lon": 5.75561, + "name": "Patigi" + }, + "waypoint": { + "lat": 33.5, + "lon": 132.55, + "name": "Ōzu" + }, + "question": "Is Ōzu approximately on the direct path from Candelaria to Patigi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7809.0, + "via_waypoint_km": 26608.4, + "detour_km": 18799.4, + "detour_percent": 240.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Candelaria", + " End: Patigi", + " Waypoint: Ōzu", + "Step 2: Calculate direct distance", + " Start → End: 7809.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26608.4 km", + "Step 4: Calculate detour", + " Detour = 26608.4 - 7809.0 = 18799.4 km", + " Detour % = (18799.4 / 7809.0) × 100 = 240.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 240.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 28.15112, + "lon": -82.46148, + "name": "Lutz" + }, + "end": { + "lat": 32.49553, + "lon": 35.09411, + "name": "‘Ar‘ara" + }, + "waypoint": { + "lat": -18.63333, + "lon": 47.7, + "name": "Sadabe" + }, + "question": "Is Sadabe approximately on the direct path from Lutz to ‘Ar‘ara?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10585.3, + "via_waypoint_km": 20696.8, + "detour_km": 10111.5, + "detour_percent": 95.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Lutz", + " End: ‘Ar‘ara", + " Waypoint: Sadabe", + "Step 2: Calculate direct distance", + " Start → End: 10585.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20696.8 km", + "Step 4: Calculate detour", + " Detour = 20696.8 - 10585.3 = 10111.5 km", + " Detour % = (10111.5 / 10585.3) × 100 = 95.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 95.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 35.60028, + "lon": 103.20639, + "name": "Linxia Chengguanzhen" + }, + "end": { + "lat": 53.59398, + "lon": 142.95279, + "name": "Okha" + }, + "waypoint": { + "lat": -19.69787, + "lon": 44.54587, + "name": "Belo sur Tsiribihina" + }, + "question": "Is Belo sur Tsiribihina approximately on the direct path from Linxia Chengguanzhen to Okha?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3659.0, + "via_waypoint_km": 21017.9, + "detour_km": 17358.9, + "detour_percent": 474.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Linxia Chengguanzhen", + " End: Okha", + " Waypoint: Belo sur Tsiribihina", + "Step 2: Calculate direct distance", + " Start → End: 3659.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21017.9 km", + "Step 4: Calculate detour", + " Detour = 21017.9 - 3659.0 = 17358.9 km", + " Detour % = (17358.9 / 3659.0) × 100 = 474.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 474.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 22.22495, + "lon": 81.40994, + "name": "Pandaria" + }, + "end": { + "lat": 29.83, + "lon": 80.55, + "name": "Dārchulā" + }, + "waypoint": { + "lat": -0.07444, + "lon": 30.78528, + "name": "Kazo" + }, + "question": "Is Kazo approximately on the direct path from Pandaria to Dārchulā?", + "ground_truth": { + "answer": false, + "direct_distance_km": 850.0, + "via_waypoint_km": 12235.5, + "detour_km": 11385.5, + "detour_percent": 1339.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Pandaria", + " End: Dārchulā", + " Waypoint: Kazo", + "Step 2: Calculate direct distance", + " Start → End: 850.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12235.5 km", + "Step 4: Calculate detour", + " Detour = 12235.5 - 850.0 = 11385.5 km", + " Detour % = (11385.5 / 850.0) × 100 = 1339.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1339.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 53.00543, + "lon": 11.75032, + "name": "Wittenberge" + }, + "end": { + "lat": 34.87, + "lon": 116.66972, + "name": "Huankou" + }, + "waypoint": { + "lat": 26.33294, + "lon": 127.87403, + "name": "Katsuren-haebaru" + }, + "question": "Is Katsuren-haebaru approximately on the direct path from Wittenberge to Huankou?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7868.2, + "via_waypoint_km": 10691.8, + "detour_km": 2823.6, + "detour_percent": 35.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Wittenberge", + " End: Huankou", + " Waypoint: Katsuren-haebaru", + "Step 2: Calculate direct distance", + " Start → End: 7868.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10691.8 km", + "Step 4: Calculate detour", + " Detour = 10691.8 - 7868.2 = 2823.6 km", + " Detour % = (2823.6 / 7868.2) × 100 = 35.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 35.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 53.25, + "lon": -1.41667, + "name": "Chesterfield" + }, + "end": { + "lat": 21.29649, + "lon": -157.85671, + "name": "Ala Moana - Kakaako" + }, + "waypoint": { + "lat": -23.05389, + "lon": -46.35806, + "name": "Piracaia" + }, + "question": "Is Piracaia approximately on the direct path from Chesterfield to Ala Moana - Kakaako?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11420.6, + "via_waypoint_km": 22550.5, + "detour_km": 11129.9, + "detour_percent": 97.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Chesterfield", + " End: Ala Moana - Kakaako", + " Waypoint: Piracaia", + "Step 2: Calculate direct distance", + " Start → End: 11420.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22550.5 km", + "Step 4: Calculate detour", + " Detour = 22550.5 - 11420.6 = 11129.9 km", + " Detour % = (11129.9 / 11420.6) × 100 = 97.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 97.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 57.88227, + "lon": 54.71827, + "name": "Ochër" + }, + "end": { + "lat": 45.19275, + "lon": 5.68821, + "name": "Fontaine" + }, + "waypoint": { + "lat": -5.16667, + "lon": 38.78333, + "name": "Muheza" + }, + "question": "Is Muheza approximately on the direct path from Ochër to Fontaine?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3576.1, + "via_waypoint_km": 13648.2, + "detour_km": 10072.1, + "detour_percent": 281.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ochër", + " End: Fontaine", + " Waypoint: Muheza", + "Step 2: Calculate direct distance", + " Start → End: 3576.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13648.2 km", + "Step 4: Calculate detour", + " Detour = 13648.2 - 3576.1 = 10072.1 km", + " Detour % = (10072.1 / 3576.1) × 100 = 281.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 281.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 43.10806, + "lon": 141.55056, + "name": "Ebetsu" + }, + "end": { + "lat": 32.47986, + "lon": -86.36192, + "name": "Millbrook" + }, + "waypoint": { + "lat": -24.24778, + "lon": -51.68472, + "name": "Ivaiporã" + }, + "question": "Is Ivaiporã approximately on the direct path from Ebetsu to Millbrook?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10299.6, + "via_waypoint_km": 24895.6, + "detour_km": 14596.1, + "detour_percent": 141.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ebetsu", + " End: Millbrook", + " Waypoint: Ivaiporã", + "Step 2: Calculate direct distance", + " Start → End: 10299.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24895.6 km", + "Step 4: Calculate detour", + " Detour = 24895.6 - 10299.6 = 14596.1 km", + " Detour % = (14596.1 / 10299.6) × 100 = 141.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 141.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 31.6008, + "lon": -7.98653, + "name": "Méchouar-Kasba" + }, + "end": { + "lat": 43.78583, + "lon": -79.43142, + "name": "Newtonbrook West" + }, + "waypoint": { + "lat": 26.50284, + "lon": 90.96937, + "name": "Barpeta Road" + }, + "question": "Is Barpeta Road approximately on the direct path from Méchouar-Kasba to Newtonbrook West?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6234.1, + "via_waypoint_km": 21410.4, + "detour_km": 15176.2, + "detour_percent": 243.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Méchouar-Kasba", + " End: Newtonbrook West", + " Waypoint: Barpeta Road", + "Step 2: Calculate direct distance", + " Start → End: 6234.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21410.4 km", + "Step 4: Calculate detour", + " Detour = 21410.4 - 6234.1 = 15176.2 km", + " Detour % = (15176.2 / 6234.1) × 100 = 243.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 243.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 25.28022, + "lon": 110.29639, + "name": "Guilin" + }, + "end": { + "lat": 35.16667, + "lon": 138.68333, + "name": "Fuji" + }, + "waypoint": { + "lat": -8.05917, + "lon": -48.475, + "name": "Colinas do Tocantins" + }, + "question": "Is Colinas do Tocantins approximately on the direct path from Guilin to Fuji?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2927.6, + "via_waypoint_km": 33974.9, + "detour_km": 31047.3, + "detour_percent": 1060.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Guilin", + " End: Fuji", + " Waypoint: Colinas do Tocantins", + "Step 2: Calculate direct distance", + " Start → End: 2927.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 33974.9 km", + "Step 4: Calculate detour", + " Detour = 33974.9 - 2927.6 = 31047.3 km", + " Detour % = (31047.3 / 2927.6) × 100 = 1060.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1060.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.76967, + "lon": 7.90641, + "name": "Ben Mehidi" + }, + "end": { + "lat": 12.18514, + "lon": 18.6884, + "name": "Mongo" + }, + "waypoint": { + "lat": 13.17722, + "lon": 121.27806, + "name": "Victoria" + }, + "question": "Is Victoria approximately on the direct path from Ben Mehidi to Mongo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2938.2, + "via_waypoint_km": 22141.9, + "detour_km": 19203.7, + "detour_percent": 653.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ben Mehidi", + " End: Mongo", + " Waypoint: Victoria", + "Step 2: Calculate direct distance", + " Start → End: 2938.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22141.9 km", + "Step 4: Calculate detour", + " Detour = 22141.9 - 2938.2 = 19203.7 km", + " Detour % = (19203.7 / 2938.2) × 100 = 653.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 653.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -28.87097, + "lon": 31.89961, + "name": "eSikhaleni" + }, + "end": { + "lat": -36.90694, + "lon": 174.68704, + "name": "New Lynn" + }, + "waypoint": { + "lat": 48.57784, + "lon": -3.82792, + "name": "Morlaix" + }, + "question": "Is Morlaix approximately on the direct path from eSikhaleni to New Lynn?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11734.2, + "via_waypoint_km": 28028.1, + "detour_km": 16294.0, + "detour_percent": 138.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: eSikhaleni", + " End: New Lynn", + " Waypoint: Morlaix", + "Step 2: Calculate direct distance", + " Start → End: 11734.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 28028.1 km", + "Step 4: Calculate detour", + " Detour = 28028.1 - 11734.2 = 16294.0 km", + " Detour % = (16294.0 / 11734.2) × 100 = 138.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 138.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -34.74947, + "lon": -58.70158, + "name": "Pontevedra" + }, + "end": { + "lat": -22.76639, + "lon": -43.69139, + "name": "Universidade Rural" + }, + "waypoint": { + "lat": 54.04976, + "lon": 57.81713, + "name": "Mezgor'e" + }, + "question": "Is Mezgor'e approximately on the direct path from Pontevedra to Universidade Rural?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1974.5, + "via_waypoint_km": 27521.7, + "detour_km": 25547.2, + "detour_percent": 1293.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Pontevedra", + " End: Universidade Rural", + " Waypoint: Mezgor'e", + "Step 2: Calculate direct distance", + " Start → End: 1974.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27521.7 km", + "Step 4: Calculate detour", + " Detour = 27521.7 - 1974.5 = 25547.2 km", + " Detour % = (25547.2 / 1974.5) × 100 = 1293.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1293.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 34.55287, + "lon": 117.33296, + "name": "Liguo" + }, + "end": { + "lat": 40.66391, + "lon": 22.89693, + "name": "Elefthério - Kordelió" + }, + "waypoint": { + "lat": 53.25682, + "lon": 7.92737, + "name": "Westerstede" + }, + "question": "Is Westerstede approximately on the direct path from Liguo to Elefthério - Kordelió?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7923.9, + "via_waypoint_km": 9923.5, + "detour_km": 1999.6, + "detour_percent": 25.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Liguo", + " End: Elefthério - Kordelió", + " Waypoint: Westerstede", + "Step 2: Calculate direct distance", + " Start → End: 7923.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9923.5 km", + "Step 4: Calculate detour", + " Detour = 9923.5 - 7923.9 = 1999.6 km", + " Detour % = (1999.6 / 7923.9) × 100 = 25.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 25.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 41.88003, + "lon": -88.00784, + "name": "Lombard" + }, + "end": { + "lat": 34.82984, + "lon": -82.60152, + "name": "Easley" + }, + "waypoint": { + "lat": 19.26372, + "lon": 75.75007, + "name": "Gevrai" + }, + "question": "Is Gevrai approximately on the direct path from Lombard to Easley?", + "ground_truth": { + "answer": false, + "direct_distance_km": 914.3, + "via_waypoint_km": 26593.9, + "detour_km": 25679.6, + "detour_percent": 2808.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Lombard", + " End: Easley", + " Waypoint: Gevrai", + "Step 2: Calculate direct distance", + " Start → End: 914.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26593.9 km", + "Step 4: Calculate detour", + " Detour = 26593.9 - 914.3 = 25679.6 km", + " Detour % = (25679.6 / 914.3) × 100 = 2808.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2808.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -24.95583, + "lon": -53.45528, + "name": "Cascavel" + }, + "end": { + "lat": -8.13389, + "lon": -35.85639, + "name": "Riacho das Almas" + }, + "waypoint": { + "lat": 39.3635, + "lon": -0.45949, + "name": "Picassent" + }, + "question": "Is Picassent approximately on the direct path from Cascavel to Riacho das Almas?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2642.6, + "via_waypoint_km": 15438.1, + "detour_km": 12795.5, + "detour_percent": 484.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Cascavel", + " End: Riacho das Almas", + " Waypoint: Picassent", + "Step 2: Calculate direct distance", + " Start → End: 2642.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15438.1 km", + "Step 4: Calculate detour", + " Detour = 15438.1 - 2642.6 = 12795.5 km", + " Detour % = (12795.5 / 2642.6) × 100 = 484.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 484.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -17.73648, + "lon": 168.31366, + "name": "Port-Vila" + }, + "end": { + "lat": 29.91465, + "lon": -90.05396, + "name": "Gretna" + }, + "waypoint": { + "lat": 5.42164, + "lon": -75.70318, + "name": "Riosucio" + }, + "question": "Is Riosucio approximately on the direct path from Port-Vila to Gretna?", + "ground_truth": { + "answer": false, + "direct_distance_km": 12071.9, + "via_waypoint_km": 16051.6, + "detour_km": 3979.6, + "detour_percent": 33.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Port-Vila", + " End: Gretna", + " Waypoint: Riosucio", + "Step 2: Calculate direct distance", + " Start → End: 12071.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16051.6 km", + "Step 4: Calculate detour", + " Detour = 16051.6 - 12071.9 = 3979.6 km", + " Detour % = (3979.6 / 12071.9) × 100 = 33.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 33.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 7.65649, + "lon": 4.92235, + "name": "Efon-Alaaye" + }, + "end": { + "lat": 50.85568, + "lon": 0.58009, + "name": "Hastings" + }, + "waypoint": { + "lat": 8.69264, + "lon": 76.79332, + "name": "Kīlattingal" + }, + "question": "Is Kīlattingal approximately on the direct path from Efon-Alaaye to Hastings?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4820.2, + "via_waypoint_km": 16191.5, + "detour_km": 11371.3, + "detour_percent": 235.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Efon-Alaaye", + " End: Hastings", + " Waypoint: Kīlattingal", + "Step 2: Calculate direct distance", + " Start → End: 4820.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16191.5 km", + "Step 4: Calculate detour", + " Detour = 16191.5 - 4820.2 = 11371.3 km", + " Detour % = (11371.3 / 4820.2) × 100 = 235.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 235.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 23.43305, + "lon": 84.67992, + "name": "Lohārdagā" + }, + "end": { + "lat": 12.7111, + "lon": 77.69557, + "name": "Anekal" + }, + "waypoint": { + "lat": 56.31667, + "lon": 22.33333, + "name": "Mazeikiai" + }, + "question": "Is Mazeikiai approximately on the direct path from Lohārdagā to Anekal?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1401.5, + "via_waypoint_km": 12906.7, + "detour_km": 11505.2, + "detour_percent": 820.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Lohārdagā", + " End: Anekal", + " Waypoint: Mazeikiai", + "Step 2: Calculate direct distance", + " Start → End: 1401.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12906.7 km", + "Step 4: Calculate detour", + " Detour = 12906.7 - 1401.5 = 11505.2 km", + " Detour % = (11505.2 / 1401.5) × 100 = 820.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 820.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -20.96278, + "lon": -42.04083, + "name": "Porciúncula" + }, + "end": { + "lat": 4.775, + "lon": 103.4162, + "name": "Dungun" + }, + "waypoint": { + "lat": 5.47775, + "lon": 10.41759, + "name": "Bafoussam" + }, + "question": "Is Bafoussam approximately on the direct path from Porciúncula to Dungun?", + "ground_truth": { + "answer": true, + "direct_distance_km": 15876.2, + "via_waypoint_km": 16719.3, + "detour_km": 843.2, + "detour_percent": 5.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Porciúncula", + " End: Dungun", + " Waypoint: Bafoussam", + "Step 2: Calculate direct distance", + " Start → End: 15876.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16719.3 km", + "Step 4: Calculate detour", + " Detour = 16719.3 - 15876.2 = 843.2 km", + " Detour % = (843.2 / 15876.2) × 100 = 5.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 5.3% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 41.58746, + "lon": -109.2029, + "name": "Rock Springs" + }, + "end": { + "lat": 5.29114, + "lon": -6.82023, + "name": "Djapadji" + }, + "waypoint": { + "lat": 38.06134, + "lon": 23.58971, + "name": "Asprópyrgos" + }, + "question": "Is Asprópyrgos approximately on the direct path from Rock Springs to Djapadji?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10636.1, + "via_waypoint_km": 14715.3, + "detour_km": 4079.2, + "detour_percent": 38.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Rock Springs", + " End: Djapadji", + " Waypoint: Asprópyrgos", + "Step 2: Calculate direct distance", + " Start → End: 10636.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14715.3 km", + "Step 4: Calculate detour", + " Detour = 14715.3 - 10636.1 = 4079.2 km", + " Detour % = (4079.2 / 10636.1) × 100 = 38.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 38.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 39.3895, + "lon": 140.05813, + "name": "Yurihonjō" + }, + "end": { + "lat": 10.22856, + "lon": -67.47421, + "name": "Turmero" + }, + "waypoint": { + "lat": 53.59407, + "lon": 9.47302, + "name": "Hansestadt Stade" + }, + "question": "Is Hansestadt Stade approximately on the direct path from Yurihonjō to Turmero?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13807.8, + "via_waypoint_km": 16878.2, + "detour_km": 3070.4, + "detour_percent": 22.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Yurihonjō", + " End: Turmero", + " Waypoint: Hansestadt Stade", + "Step 2: Calculate direct distance", + " Start → End: 13807.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16878.2 km", + "Step 4: Calculate detour", + " Detour = 16878.2 - 13807.8 = 3070.4 km", + " Detour % = (3070.4 / 13807.8) × 100 = 22.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 22.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 26.59185, + "lon": 94.19445, + "name": "Titabor Town" + }, + "end": { + "lat": 20.84852, + "lon": 86.33729, + "name": "Jājpur" + }, + "waypoint": { + "lat": 7.75624, + "lon": -8.8179, + "name": "Nzérékoré" + }, + "question": "Is Nzérékoré approximately on the direct path from Titabor Town to Jājpur?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1023.0, + "via_waypoint_km": 21128.2, + "detour_km": 20105.2, + "detour_percent": 1965.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Titabor Town", + " End: Jājpur", + " Waypoint: Nzérékoré", + "Step 2: Calculate direct distance", + " Start → End: 1023.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21128.2 km", + "Step 4: Calculate detour", + " Detour = 21128.2 - 1023.0 = 20105.2 km", + " Detour % = (20105.2 / 1023.0) × 100 = 1965.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1965.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 39.84753, + "lon": -75.35785, + "name": "Chester" + }, + "end": { + "lat": 53.32733, + "lon": -3.09648, + "name": "Heswall" + }, + "waypoint": { + "lat": 50.48333, + "lon": 2.55, + "name": "Bruay-la-Buissière" + }, + "question": "Is Bruay-la-Buissière approximately on the direct path from Chester to Heswall?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5469.1, + "via_waypoint_km": 6434.4, + "detour_km": 965.3, + "detour_percent": 17.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Chester", + " End: Heswall", + " Waypoint: Bruay-la-Buissière", + "Step 2: Calculate direct distance", + " Start → End: 5469.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 6434.4 km", + "Step 4: Calculate detour", + " Detour = 6434.4 - 5469.1 = 965.3 km", + " Detour % = (965.3 / 5469.1) × 100 = 17.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 17.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 11.92092, + "lon": -2.51536, + "name": "Tita" + }, + "end": { + "lat": 64.8, + "lon": -147.53333, + "name": "Badger" + }, + "waypoint": { + "lat": 43.64801, + "lon": -93.36827, + "name": "Albert Lea" + }, + "question": "Is Albert Lea approximately on the direct path from Tita to Badger?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10995.4, + "via_waypoint_km": 13211.2, + "detour_km": 2215.9, + "detour_percent": 20.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tita", + " End: Badger", + " Waypoint: Albert Lea", + "Step 2: Calculate direct distance", + " Start → End: 10995.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13211.2 km", + "Step 4: Calculate detour", + " Detour = 13211.2 - 10995.4 = 2215.9 km", + " Detour % = (2215.9 / 10995.4) × 100 = 20.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 20.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 45.61667, + "lon": 63.31667, + "name": "Baikonur" + }, + "end": { + "lat": 42.33065, + "lon": -71.16616, + "name": "Chestnut Hill" + }, + "waypoint": { + "lat": 54.6567, + "lon": 86.1737, + "name": "Leninsk-Kuznetsky" + }, + "question": "Is Leninsk-Kuznetsky approximately on the direct path from Baikonur to Chestnut Hill?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9247.9, + "via_waypoint_km": 10919.3, + "detour_km": 1671.4, + "detour_percent": 18.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Baikonur", + " End: Chestnut Hill", + " Waypoint: Leninsk-Kuznetsky", + "Step 2: Calculate direct distance", + " Start → End: 9247.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10919.3 km", + "Step 4: Calculate detour", + " Detour = 10919.3 - 9247.9 = 1671.4 km", + " Detour % = (1671.4 / 9247.9) × 100 = 18.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 18.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -7.61417, + "lon": -72.89583, + "name": "Mâncio Lima" + }, + "end": { + "lat": 43.31195, + "lon": 45.68895, + "name": "Grozny" + }, + "waypoint": { + "lat": 38.73174, + "lon": -82.99767, + "name": "Portsmouth" + }, + "question": "Is Portsmouth approximately on the direct path from Mâncio Lima to Grozny?", + "ground_truth": { + "answer": false, + "direct_distance_km": 12881.6, + "via_waypoint_km": 14791.2, + "detour_km": 1909.7, + "detour_percent": 14.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mâncio Lima", + " End: Grozny", + " Waypoint: Portsmouth", + "Step 2: Calculate direct distance", + " Start → End: 12881.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14791.2 km", + "Step 4: Calculate detour", + " Detour = 14791.2 - 12881.6 = 1909.7 km", + " Detour % = (1909.7 / 12881.6) × 100 = 14.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 14.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.13447, + "lon": 36.73979, + "name": "Batabo" + }, + "end": { + "lat": 21.76667, + "lon": 109.03333, + "name": "Wujia" + }, + "waypoint": { + "lat": 40.84816, + "lon": -73.99764, + "name": "Palisades Park" + }, + "question": "Is Palisades Park approximately on the direct path from Batabo to Wujia?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7056.6, + "via_waypoint_km": 21968.9, + "detour_km": 14912.2, + "detour_percent": 211.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Batabo", + " End: Wujia", + " Waypoint: Palisades Park", + "Step 2: Calculate direct distance", + " Start → End: 7056.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21968.9 km", + "Step 4: Calculate detour", + " Detour = 21968.9 - 7056.6 = 14912.2 km", + " Detour % = (14912.2 / 7056.6) × 100 = 211.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 211.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 52.26594, + "lon": 10.52673, + "name": "Braunschweig" + }, + "end": { + "lat": 5.28028, + "lon": 115.2475, + "name": "Labuan" + }, + "waypoint": { + "lat": 5.85475, + "lon": 6.85944, + "name": "Ihiala" + }, + "question": "Is Ihiala approximately on the direct path from Braunschweig to Labuan?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10531.0, + "via_waypoint_km": 17141.0, + "detour_km": 6610.0, + "detour_percent": 62.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Braunschweig", + " End: Labuan", + " Waypoint: Ihiala", + "Step 2: Calculate direct distance", + " Start → End: 10531.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17141.0 km", + "Step 4: Calculate detour", + " Detour = 17141.0 - 10531.0 = 6610.0 km", + " Detour % = (6610.0 / 10531.0) × 100 = 62.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 62.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 8.45611, + "lon": 125.78417, + "name": "Talacogon" + }, + "end": { + "lat": 51.97, + "lon": 5.66667, + "name": "Wageningen" + }, + "waypoint": { + "lat": -9.39861, + "lon": -40.50083, + "name": "Petrolina" + }, + "question": "Is Petrolina approximately on the direct path from Talacogon to Wageningen?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11225.0, + "via_waypoint_km": 26622.7, + "detour_km": 15397.6, + "detour_percent": 137.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Talacogon", + " End: Wageningen", + " Waypoint: Petrolina", + "Step 2: Calculate direct distance", + " Start → End: 11225.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26622.7 km", + "Step 4: Calculate detour", + " Detour = 26622.7 - 11225.0 = 15397.6 km", + " Detour % = (15397.6 / 11225.0) × 100 = 137.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 137.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 34.91222, + "lon": 105.08056, + "name": "Lixin" + }, + "end": { + "lat": 39.82089, + "lon": -84.01938, + "name": "Fairborn" + }, + "waypoint": { + "lat": 36.20829, + "lon": -115.98391, + "name": "Pahrump" + }, + "question": "Is Pahrump approximately on the direct path from Lixin to Fairborn?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11652.9, + "via_waypoint_km": 13850.1, + "detour_km": 2197.3, + "detour_percent": 18.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Lixin", + " End: Fairborn", + " Waypoint: Pahrump", + "Step 2: Calculate direct distance", + " Start → End: 11652.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13850.1 km", + "Step 4: Calculate detour", + " Detour = 13850.1 - 11652.9 = 2197.3 km", + " Detour % = (2197.3 / 11652.9) × 100 = 18.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 18.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 55.86602, + "lon": -3.98025, + "name": "Airdrie" + }, + "end": { + "lat": 48.03876, + "lon": 38.59685, + "name": "Chystyakove" + }, + "waypoint": { + "lat": 55.11686, + "lon": 61.61807, + "name": "Kopeysk" + }, + "question": "Is Kopeysk approximately on the direct path from Airdrie to Chystyakove?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2991.5, + "via_waypoint_km": 5738.9, + "detour_km": 2747.3, + "detour_percent": 91.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Airdrie", + " End: Chystyakove", + " Waypoint: Kopeysk", + "Step 2: Calculate direct distance", + " Start → End: 2991.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 5738.9 km", + "Step 4: Calculate detour", + " Detour = 5738.9 - 2991.5 = 2747.3 km", + " Detour % = (2747.3 / 2991.5) × 100 = 91.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 91.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -7.06, + "lon": -35.31944, + "name": "Mari" + }, + "end": { + "lat": -21.04278, + "lon": -49.37722, + "name": "Potirendaba" + }, + "waypoint": { + "lat": 11.19152, + "lon": 40.01675, + "name": "Batī" + }, + "question": "Is Batī approximately on the direct path from Mari to Potirendaba?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2168.5, + "via_waypoint_km": 18967.5, + "detour_km": 16798.9, + "detour_percent": 774.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mari", + " End: Potirendaba", + " Waypoint: Batī", + "Step 2: Calculate direct distance", + " Start → End: 2168.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18967.5 km", + "Step 4: Calculate detour", + " Detour = 18967.5 - 2168.5 = 16798.9 km", + " Detour % = (16798.9 / 2168.5) × 100 = 774.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 774.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 6.6, + "lon": 38.41667, + "name": "Wendo" + }, + "end": { + "lat": -1.8628, + "lon": 29.62541, + "name": "Ngororero" + }, + "waypoint": { + "lat": 52.30667, + "lon": 6.51806, + "name": "Rijssen" + }, + "question": "Is Rijssen approximately on the direct path from Wendo to Ngororero?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1355.6, + "via_waypoint_km": 12255.8, + "detour_km": 10900.2, + "detour_percent": 804.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Wendo", + " End: Ngororero", + " Waypoint: Rijssen", + "Step 2: Calculate direct distance", + " Start → End: 1355.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12255.8 km", + "Step 4: Calculate detour", + " Detour = 12255.8 - 1355.6 = 10900.2 km", + " Detour % = (10900.2 / 1355.6) × 100 = 804.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 804.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -18.16583, + "lon": -47.94639, + "name": "Catalão" + }, + "end": { + "lat": -11.14694, + "lon": -37.62056, + "name": "Boquim" + }, + "waypoint": { + "lat": 53.75379, + "lon": -2.35863, + "name": "Accrington" + }, + "question": "Is Accrington approximately on the direct path from Catalão to Boquim?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1356.8, + "via_waypoint_km": 17049.1, + "detour_km": 15692.3, + "detour_percent": 1156.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Catalão", + " End: Boquim", + " Waypoint: Accrington", + "Step 2: Calculate direct distance", + " Start → End: 1356.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17049.1 km", + "Step 4: Calculate detour", + " Detour = 17049.1 - 1356.8 = 15692.3 km", + " Detour % = (15692.3 / 1356.8) × 100 = 1156.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1156.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 30.97478, + "lon": 31.87231, + "name": "Şān al Ḩajar al Qiblīyah" + }, + "end": { + "lat": 33.63, + "lon": -5.58, + "name": "Agouraï" + }, + "waypoint": { + "lat": 55.63826, + "lon": 109.32709, + "name": "Severobaykal’sk" + }, + "question": "Is Severobaykal’sk approximately on the direct path from Şān al Ḩajar al Qiblīyah to Agouraï?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3513.3, + "via_waypoint_km": 14785.7, + "detour_km": 11272.4, + "detour_percent": 320.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Şān al Ḩajar al Qiblīyah", + " End: Agouraï", + " Waypoint: Severobaykal’sk", + "Step 2: Calculate direct distance", + " Start → End: 3513.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14785.7 km", + "Step 4: Calculate detour", + " Detour = 14785.7 - 3513.3 = 11272.4 km", + " Detour % = (11272.4 / 3513.3) × 100 = 320.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 320.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -21.53549, + "lon": -64.72956, + "name": "Tarija" + }, + "end": { + "lat": -13.18222, + "lon": -39.425, + "name": "Laje" + }, + "waypoint": { + "lat": -2.5845, + "lon": 30.0959, + "name": "Kirundo" + }, + "question": "Is Kirundo approximately on the direct path from Tarija to Laje?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2836.9, + "via_waypoint_km": 18125.8, + "detour_km": 15289.0, + "detour_percent": 538.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tarija", + " End: Laje", + " Waypoint: Kirundo", + "Step 2: Calculate direct distance", + " Start → End: 2836.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18125.8 km", + "Step 4: Calculate detour", + " Detour = 18125.8 - 2836.9 = 15289.0 km", + " Detour % = (15289.0 / 2836.9) × 100 = 538.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 538.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -9.90971, + "lon": -36.35611, + "name": "Teotônio Vilela" + }, + "end": { + "lat": -23.49032, + "lon": -46.6387, + "name": "Santana" + }, + "waypoint": { + "lat": 15.45099, + "lon": 36.39998, + "name": "Kassala" + }, + "question": "Is Kassala approximately on the direct path from Teotônio Vilela to Santana?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1863.4, + "via_waypoint_km": 18493.7, + "detour_km": 16630.3, + "detour_percent": 892.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Teotônio Vilela", + " End: Santana", + " Waypoint: Kassala", + "Step 2: Calculate direct distance", + " Start → End: 1863.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18493.7 km", + "Step 4: Calculate detour", + " Detour = 18493.7 - 1863.4 = 16630.3 km", + " Detour % = (16630.3 / 1863.4) × 100 = 892.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 892.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 47.48938, + "lon": 19.07292, + "name": "Józsefváros" + }, + "end": { + "lat": 40.80149, + "lon": -72.8676, + "name": "Shirley" + }, + "waypoint": { + "lat": 13.54773, + "lon": -7.44808, + "name": "Banamba" + }, + "question": "Is Banamba approximately on the direct path from Józsefváros to Shirley?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6930.9, + "via_waypoint_km": 11470.7, + "detour_km": 4539.8, + "detour_percent": 65.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Józsefváros", + " End: Shirley", + " Waypoint: Banamba", + "Step 2: Calculate direct distance", + " Start → End: 6930.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11470.7 km", + "Step 4: Calculate detour", + " Detour = 11470.7 - 6930.9 = 4539.8 km", + " Detour % = (4539.8 / 6930.9) × 100 = 65.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 65.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 46.38333, + "lon": 23.85, + "name": "Ocna Mureş" + }, + "end": { + "lat": 40.81232, + "lon": -73.07844, + "name": "Holbrook" + }, + "waypoint": { + "lat": -29.20932, + "lon": 26.83898, + "name": "Thaba Nchu" + }, + "question": "Is Thaba Nchu approximately on the direct path from Ocna Mureş to Holbrook?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7314.7, + "via_waypoint_km": 21269.6, + "detour_km": 13954.8, + "detour_percent": 190.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ocna Mureş", + " End: Holbrook", + " Waypoint: Thaba Nchu", + "Step 2: Calculate direct distance", + " Start → End: 7314.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21269.6 km", + "Step 4: Calculate detour", + " Detour = 21269.6 - 7314.7 = 13954.8 km", + " Detour % = (13954.8 / 7314.7) × 100 = 190.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 190.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 4.9218, + "lon": -75.06232, + "name": "Líbano" + }, + "end": { + "lat": 9.62376, + "lon": -0.82705, + "name": "Savelugu" + }, + "waypoint": { + "lat": 42.6865, + "lon": -2.94695, + "name": "Miranda de Ebro" + }, + "question": "Is Miranda de Ebro approximately on the direct path from Líbano to Savelugu?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8191.4, + "via_waypoint_km": 11861.2, + "detour_km": 3669.9, + "detour_percent": 44.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Líbano", + " End: Savelugu", + " Waypoint: Miranda de Ebro", + "Step 2: Calculate direct distance", + " Start → End: 8191.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11861.2 km", + "Step 4: Calculate detour", + " Detour = 11861.2 - 8191.4 = 3669.9 km", + " Detour % = (3669.9 / 8191.4) × 100 = 44.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 44.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.42478, + "lon": -3.66379, + "name": "Fuente del Berro" + }, + "end": { + "lat": 24.22673, + "lon": 96.79085, + "name": "Shwegu" + }, + "waypoint": { + "lat": 40.26598, + "lon": 69.79585, + "name": "Qayroqqum" + }, + "question": "Is Qayroqqum approximately on the direct path from Fuente del Berro to Shwegu?", + "ground_truth": { + "answer": true, + "direct_distance_km": 9111.9, + "via_waypoint_km": 9112.4, + "detour_km": 0.5, + "detour_percent": 0.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Fuente del Berro", + " End: Shwegu", + " Waypoint: Qayroqqum", + "Step 2: Calculate direct distance", + " Start → End: 9111.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9112.4 km", + "Step 4: Calculate detour", + " Detour = 9112.4 - 9111.9 = 0.5 km", + " Detour % = (0.5 / 9111.9) × 100 = 0.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.0% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 34.15917, + "lon": -118.50119, + "name": "Encino" + }, + "end": { + "lat": 10.25927, + "lon": -71.36343, + "name": "Tía Juana" + }, + "waypoint": { + "lat": 29.95996, + "lon": 107.10408, + "name": "Xinshi" + }, + "question": "Is Xinshi approximately on the direct path from Encino to Tía Juana?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5466.9, + "via_waypoint_km": 26968.1, + "detour_km": 21501.2, + "detour_percent": 393.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Encino", + " End: Tía Juana", + " Waypoint: Xinshi", + "Step 2: Calculate direct distance", + " Start → End: 5466.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26968.1 km", + "Step 4: Calculate detour", + " Detour = 26968.1 - 5466.9 = 21501.2 km", + " Detour % = (21501.2 / 5466.9) × 100 = 393.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 393.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -35.57681, + "lon": -58.01215, + "name": "Chascomús" + }, + "end": { + "lat": -1.50583, + "lon": -48.62583, + "name": "Barcarena" + }, + "waypoint": { + "lat": -32.73308, + "lon": 151.5574, + "name": "Maitland" + }, + "question": "Is Maitland approximately on the direct path from Chascomús to Barcarena?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3910.6, + "via_waypoint_km": 27476.2, + "detour_km": 23565.6, + "detour_percent": 602.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Chascomús", + " End: Barcarena", + " Waypoint: Maitland", + "Step 2: Calculate direct distance", + " Start → End: 3910.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27476.2 km", + "Step 4: Calculate detour", + " Detour = 27476.2 - 3910.6 = 23565.6 km", + " Detour % = (23565.6 / 3910.6) × 100 = 602.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 602.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 50.99258, + "lon": 6.57128, + "name": "Bedburg" + }, + "end": { + "lat": 51.51312, + "lon": 10.25951, + "name": "Duderstadt" + }, + "waypoint": { + "lat": 20.27605, + "lon": -97.96111, + "name": "Xicotepec de Juárez" + }, + "question": "Is Xicotepec de Juárez approximately on the direct path from Bedburg to Duderstadt?", + "ground_truth": { + "answer": false, + "direct_distance_km": 263.1, + "via_waypoint_km": 18675.4, + "detour_km": 18412.3, + "detour_percent": 6998.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bedburg", + " End: Duderstadt", + " Waypoint: Xicotepec de Juárez", + "Step 2: Calculate direct distance", + " Start → End: 263.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18675.4 km", + "Step 4: Calculate detour", + " Detour = 18675.4 - 263.1 = 18412.3 km", + " Detour % = (18412.3 / 263.1) × 100 = 6998.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 6998.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -0.50974, + "lon": 34.73067, + "name": "Oyugis" + }, + "end": { + "lat": 50.42449, + "lon": 4.4789, + "name": "Gilly" + }, + "waypoint": { + "lat": -6.60167, + "lon": -44.07667, + "name": "Pastos Bons" + }, + "question": "Is Pastos Bons approximately on the direct path from Oyugis to Gilly?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6347.1, + "via_waypoint_km": 16627.8, + "detour_km": 10280.7, + "detour_percent": 162.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Oyugis", + " End: Gilly", + " Waypoint: Pastos Bons", + "Step 2: Calculate direct distance", + " Start → End: 6347.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16627.8 km", + "Step 4: Calculate detour", + " Detour = 16627.8 - 6347.1 = 10280.7 km", + " Detour % = (10280.7 / 6347.1) × 100 = 162.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 162.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 67.50867, + "lon": 64.0667, + "name": "Vorkuta" + }, + "end": { + "lat": 41.11758, + "lon": 25.40587, + "name": "Komotiní" + }, + "waypoint": { + "lat": 44.74471, + "lon": -0.68194, + "name": "Cestas" + }, + "question": "Is Cestas approximately on the direct path from Vorkuta to Komotiní?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3739.6, + "via_waypoint_km": 6597.3, + "detour_km": 2857.8, + "detour_percent": 76.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Vorkuta", + " End: Komotiní", + " Waypoint: Cestas", + "Step 2: Calculate direct distance", + " Start → End: 3739.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 6597.3 km", + "Step 4: Calculate detour", + " Detour = 6597.3 - 3739.6 = 2857.8 km", + " Detour % = (2857.8 / 3739.6) × 100 = 76.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 76.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 30.655, + "lon": 108.193, + "name": "Xiangshui" + }, + "end": { + "lat": 9.53539, + "lon": 76.32205, + "name": "Pathirappally" + }, + "waypoint": { + "lat": 31.60351, + "lon": -94.65549, + "name": "Nacogdoches" + }, + "question": "Is Nacogdoches approximately on the direct path from Xiangshui to Pathirappally?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4047.1, + "via_waypoint_km": 28025.9, + "detour_km": 23978.8, + "detour_percent": 592.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Xiangshui", + " End: Pathirappally", + " Waypoint: Nacogdoches", + "Step 2: Calculate direct distance", + " Start → End: 4047.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 28025.9 km", + "Step 4: Calculate detour", + " Detour = 28025.9 - 4047.1 = 23978.8 km", + " Detour % = (23978.8 / 4047.1) × 100 = 592.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 592.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 48.08078, + "lon": 7.35584, + "name": "Colmar" + }, + "end": { + "lat": 2.41669, + "lon": 30.98551, + "name": "Paidha" + }, + "waypoint": { + "lat": 37.97169, + "lon": -100.87266, + "name": "Garden City" + }, + "question": "Is Garden City approximately on the direct path from Colmar to Paidha?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5558.8, + "via_waypoint_km": 21453.2, + "detour_km": 15894.3, + "detour_percent": 285.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Colmar", + " End: Paidha", + " Waypoint: Garden City", + "Step 2: Calculate direct distance", + " Start → End: 5558.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21453.2 km", + "Step 4: Calculate detour", + " Detour = 21453.2 - 5558.8 = 15894.3 km", + " Detour % = (15894.3 / 5558.8) × 100 = 285.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 285.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -28.01274, + "lon": 27.08234, + "name": "Phomolong" + }, + "end": { + "lat": 40.15552, + "lon": 26.41271, + "name": "Çanakkale" + }, + "waypoint": { + "lat": -37.88264, + "lon": 144.7003, + "name": "Hoppers Crossing" + }, + "question": "Is Hoppers Crossing approximately on the direct path from Phomolong to Çanakkale?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7580.3, + "via_waypoint_km": 25015.8, + "detour_km": 17435.5, + "detour_percent": 230.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Phomolong", + " End: Çanakkale", + " Waypoint: Hoppers Crossing", + "Step 2: Calculate direct distance", + " Start → End: 7580.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25015.8 km", + "Step 4: Calculate detour", + " Detour = 25015.8 - 7580.3 = 17435.5 km", + " Detour % = (17435.5 / 7580.3) × 100 = 230.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 230.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 32.69677, + "lon": 13.84634, + "name": "Qaşr Khiyār" + }, + "end": { + "lat": -23.38611, + "lon": -45.66222, + "name": "Paraibuna" + }, + "waypoint": { + "lat": 47.85093, + "lon": -122.2393, + "name": "Martha Lake" + }, + "question": "Is Martha Lake approximately on the direct path from Qaşr Khiyār to Paraibuna?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8870.6, + "via_waypoint_km": 21023.0, + "detour_km": 12152.4, + "detour_percent": 137.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Qaşr Khiyār", + " End: Paraibuna", + " Waypoint: Martha Lake", + "Step 2: Calculate direct distance", + " Start → End: 8870.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21023.0 km", + "Step 4: Calculate detour", + " Detour = 21023.0 - 8870.6 = 12152.4 km", + " Detour % = (12152.4 / 8870.6) × 100 = 137.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 137.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 60.45148, + "lon": 22.26869, + "name": "Turku" + }, + "end": { + "lat": 41.99362, + "lon": 12.72238, + "name": "Guidonia Montecelio" + }, + "waypoint": { + "lat": 34.16533, + "lon": -84.80231, + "name": "Cartersville" + }, + "question": "Is Cartersville approximately on the direct path from Turku to Guidonia Montecelio?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2152.2, + "via_waypoint_km": 15699.8, + "detour_km": 13547.6, + "detour_percent": 629.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Turku", + " End: Guidonia Montecelio", + " Waypoint: Cartersville", + "Step 2: Calculate direct distance", + " Start → End: 2152.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15699.8 km", + "Step 4: Calculate detour", + " Detour = 15699.8 - 2152.2 = 13547.6 km", + " Detour % = (13547.6 / 2152.2) × 100 = 629.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 629.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -10.64389, + "lon": -51.56889, + "name": "Confresa" + }, + "end": { + "lat": -12.86667, + "lon": -72.71667, + "name": "Santa Ana" + }, + "waypoint": { + "lat": 36.03312, + "lon": -86.78278, + "name": "Brentwood" + }, + "question": "Is Brentwood approximately on the direct path from Confresa to Santa Ana?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2314.7, + "via_waypoint_km": 12002.8, + "detour_km": 9688.1, + "detour_percent": 418.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Confresa", + " End: Santa Ana", + " Waypoint: Brentwood", + "Step 2: Calculate direct distance", + " Start → End: 2314.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12002.8 km", + "Step 4: Calculate detour", + " Detour = 12002.8 - 2314.7 = 9688.1 km", + " Detour % = (9688.1 / 2314.7) × 100 = 418.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 418.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 41.38972, + "lon": 69.465, + "name": "Qibray" + }, + "end": { + "lat": 8.98333, + "lon": 1.13333, + "name": "Sokodé" + }, + "waypoint": { + "lat": 40.7251, + "lon": -73.24539, + "name": "Bay Shore" + }, + "question": "Is Bay Shore approximately on the direct path from Qibray to Sokodé?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7545.8, + "via_waypoint_km": 18184.5, + "detour_km": 10638.6, + "detour_percent": 141.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Qibray", + " End: Sokodé", + " Waypoint: Bay Shore", + "Step 2: Calculate direct distance", + " Start → End: 7545.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18184.5 km", + "Step 4: Calculate detour", + " Detour = 18184.5 - 7545.8 = 10638.6 km", + " Detour % = (10638.6 / 7545.8) × 100 = 141.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 141.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 54.91525, + "lon": 23.96831, + "name": "Dainava (Kaunas)" + }, + "end": { + "lat": 34.84606, + "lon": -6.06645, + "name": "Lalla Mimouna" + }, + "waypoint": { + "lat": 37.2025, + "lon": 112.17806, + "name": "Gutao" + }, + "question": "Is Gutao approximately on the direct path from Dainava (Kaunas) to Lalla Mimouna?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3207.3, + "via_waypoint_km": 16382.1, + "detour_km": 13174.8, + "detour_percent": 410.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Dainava (Kaunas)", + " End: Lalla Mimouna", + " Waypoint: Gutao", + "Step 2: Calculate direct distance", + " Start → End: 3207.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16382.1 km", + "Step 4: Calculate detour", + " Detour = 16382.1 - 3207.3 = 13174.8 km", + " Detour % = (13174.8 / 3207.3) × 100 = 410.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 410.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 34.6178, + "lon": 71.97247, + "name": "Bat Khela" + }, + "end": { + "lat": 43.52259, + "lon": 125.65948, + "name": "Shuangyang" + }, + "waypoint": { + "lat": -28.33057, + "lon": 28.99087, + "name": "Tshiame" + }, + "question": "Is Tshiame approximately on the direct path from Bat Khela to Shuangyang?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4656.3, + "via_waypoint_km": 20965.2, + "detour_km": 16308.9, + "detour_percent": 350.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bat Khela", + " End: Shuangyang", + " Waypoint: Tshiame", + "Step 2: Calculate direct distance", + " Start → End: 4656.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20965.2 km", + "Step 4: Calculate detour", + " Detour = 20965.2 - 4656.3 = 16308.9 km", + " Detour % = (16308.9 / 4656.3) × 100 = 350.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 350.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 32.93917, + "lon": 119.83417, + "name": "Xinghua" + }, + "end": { + "lat": 30.59476, + "lon": 71.9699, + "name": "Sarai Sidhu" + }, + "waypoint": { + "lat": 33.46632, + "lon": 9.0203, + "name": "Douz" + }, + "question": "Is Douz approximately on the direct path from Xinghua to Sarai Sidhu?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4493.6, + "via_waypoint_km": 15532.0, + "detour_km": 11038.5, + "detour_percent": 245.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Xinghua", + " End: Sarai Sidhu", + " Waypoint: Douz", + "Step 2: Calculate direct distance", + " Start → End: 4493.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15532.0 km", + "Step 4: Calculate detour", + " Detour = 15532.0 - 4493.6 = 11038.5 km", + " Detour % = (11038.5 / 4493.6) × 100 = 245.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 245.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 53.46994, + "lon": 9.68968, + "name": "Buxtehude" + }, + "end": { + "lat": 42.52165, + "lon": -7.51422, + "name": "Monforte de Lemos" + }, + "waypoint": { + "lat": -8.07361, + "lon": -37.26444, + "name": "Sertânia" + }, + "question": "Is Sertânia approximately on the direct path from Buxtehude to Monforte de Lemos?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1758.0, + "via_waypoint_km": 14520.6, + "detour_km": 12762.6, + "detour_percent": 726.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Buxtehude", + " End: Monforte de Lemos", + " Waypoint: Sertânia", + "Step 2: Calculate direct distance", + " Start → End: 1758.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14520.6 km", + "Step 4: Calculate detour", + " Detour = 14520.6 - 1758.0 = 12762.6 km", + " Detour % = (12762.6 / 1758.0) × 100 = 726.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 726.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 43.3075, + "lon": -5.69092, + "name": "La Felguera" + }, + "end": { + "lat": 49.3, + "lon": 6.81667, + "name": "Schwalbach" + }, + "waypoint": { + "lat": 31.86389, + "lon": 117.28083, + "name": "Hefei" + }, + "question": "Is Hefei approximately on the direct path from La Felguera to Schwalbach?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1166.9, + "via_waypoint_km": 18525.3, + "detour_km": 17358.4, + "detour_percent": 1487.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: La Felguera", + " End: Schwalbach", + " Waypoint: Hefei", + "Step 2: Calculate direct distance", + " Start → End: 1166.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18525.3 km", + "Step 4: Calculate detour", + " Detour = 18525.3 - 1166.9 = 17358.4 km", + " Detour % = (17358.4 / 1166.9) × 100 = 1487.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1487.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.11567, + "lon": 139.19429, + "name": "Yorii" + }, + "end": { + "lat": 34.27396, + "lon": 134.77512, + "name": "Minamiawaji" + }, + "waypoint": { + "lat": 50.36912, + "lon": 33.997, + "name": "Hadyach" + }, + "question": "Is Hadyach approximately on the direct path from Yorii to Minamiawaji?", + "ground_truth": { + "answer": false, + "direct_distance_km": 450.7, + "via_waypoint_km": 15770.0, + "detour_km": 15319.3, + "detour_percent": 3399.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Yorii", + " End: Minamiawaji", + " Waypoint: Hadyach", + "Step 2: Calculate direct distance", + " Start → End: 450.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15770.0 km", + "Step 4: Calculate detour", + " Detour = 15770.0 - 450.7 = 15319.3 km", + " Detour % = (15319.3 / 450.7) × 100 = 3399.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 3399.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 42.01556, + "lon": 121.65889, + "name": "Fuxin" + }, + "end": { + "lat": 40.56384, + "lon": -111.94938, + "name": "South Jordan Heights" + }, + "waypoint": { + "lat": -13.59268, + "lon": 24.20081, + "name": "Kabompo" + }, + "question": "Is Kabompo approximately on the direct path from Fuxin to South Jordan Heights?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9366.9, + "via_waypoint_km": 26442.3, + "detour_km": 17075.4, + "detour_percent": 182.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Fuxin", + " End: South Jordan Heights", + " Waypoint: Kabompo", + "Step 2: Calculate direct distance", + " Start → End: 9366.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26442.3 km", + "Step 4: Calculate detour", + " Detour = 26442.3 - 9366.9 = 17075.4 km", + " Detour % = (17075.4 / 9366.9) × 100 = 182.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 182.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 33.77483, + "lon": -84.29631, + "name": "Decatur" + }, + "end": { + "lat": 5.61637, + "lon": -73.81748, + "name": "Chiquinquirá" + }, + "waypoint": { + "lat": 35.93968, + "lon": 3.41588, + "name": "Chellalat el Adhaouara" + }, + "question": "Is Chellalat el Adhaouara approximately on the direct path from Decatur to Chiquinquirá?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3312.5, + "via_waypoint_km": 16200.9, + "detour_km": 12888.4, + "detour_percent": 389.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Decatur", + " End: Chiquinquirá", + " Waypoint: Chellalat el Adhaouara", + "Step 2: Calculate direct distance", + " Start → End: 3312.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16200.9 km", + "Step 4: Calculate detour", + " Detour = 16200.9 - 3312.5 = 12888.4 km", + " Detour % = (12888.4 / 3312.5) × 100 = 389.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 389.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.2378, + "lon": 139.19023, + "name": "Honjō" + }, + "end": { + "lat": 54.8421, + "lon": 46.5813, + "name": "Alatyr’" + }, + "waypoint": { + "lat": 15.64453, + "lon": 32.47773, + "name": "Omdurman" + }, + "question": "Is Omdurman approximately on the direct path from Honjō to Alatyr’?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6946.8, + "via_waypoint_km": 14939.6, + "detour_km": 7992.9, + "detour_percent": 115.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Honjō", + " End: Alatyr’", + " Waypoint: Omdurman", + "Step 2: Calculate direct distance", + " Start → End: 6946.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14939.6 km", + "Step 4: Calculate detour", + " Detour = 14939.6 - 6946.8 = 7992.9 km", + " Detour % = (7992.9 / 6946.8) × 100 = 115.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 115.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 10.22263, + "lon": 105.39841, + "name": "Vĩnh Thạnh" + }, + "end": { + "lat": 39.96348, + "lon": -4.83076, + "name": "Talavera de la Reina" + }, + "waypoint": { + "lat": 52.0814, + "lon": 21.02397, + "name": "Piaseczno" + }, + "question": "Is Piaseczno approximately on the direct path from Vĩnh Thạnh to Talavera de la Reina?", + "ground_truth": { + "answer": true, + "direct_distance_km": 10946.3, + "via_waypoint_km": 11117.3, + "detour_km": 171.0, + "detour_percent": 1.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Vĩnh Thạnh", + " End: Talavera de la Reina", + " Waypoint: Piaseczno", + "Step 2: Calculate direct distance", + " Start → End: 10946.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11117.3 km", + "Step 4: Calculate detour", + " Detour = 11117.3 - 10946.3 = 171.0 km", + " Detour % = (171.0 / 10946.3) × 100 = 1.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1.6% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 45.9, + "lon": 6.1, + "name": "Cran-Gevrier" + }, + "end": { + "lat": 40.49182, + "lon": 50.14292, + "name": "Mardakan" + }, + "waypoint": { + "lat": 0.9592, + "lon": -79.65397, + "name": "Esmeraldas" + }, + "question": "Is Esmeraldas approximately on the direct path from Cran-Gevrier to Mardakan?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3574.0, + "via_waypoint_km": 22769.4, + "detour_km": 19195.5, + "detour_percent": 537.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Cran-Gevrier", + " End: Mardakan", + " Waypoint: Esmeraldas", + "Step 2: Calculate direct distance", + " Start → End: 3574.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22769.4 km", + "Step 4: Calculate detour", + " Detour = 22769.4 - 3574.0 = 19195.5 km", + " Detour % = (19195.5 / 3574.0) × 100 = 537.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 537.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -5.57583, + "lon": -44.38528, + "name": "São Domingos do Maranhão" + }, + "end": { + "lat": 43.65965, + "lon": -79.37902, + "name": "Church-Yonge Corridor" + }, + "waypoint": { + "lat": 35.6991, + "lon": 10.7952, + "name": "Bembla et Mnara" + }, + "question": "Is Bembla et Mnara approximately on the direct path from São Domingos do Maranhão to Church-Yonge Corridor?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6502.8, + "via_waypoint_km": 14730.7, + "detour_km": 8227.9, + "detour_percent": 126.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: São Domingos do Maranhão", + " End: Church-Yonge Corridor", + " Waypoint: Bembla et Mnara", + "Step 2: Calculate direct distance", + " Start → End: 6502.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14730.7 km", + "Step 4: Calculate detour", + " Detour = 14730.7 - 6502.8 = 8227.9 km", + " Detour % = (8227.9 / 6502.8) × 100 = 126.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 126.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.21187, + "lon": 4.25633, + "name": "Beveren" + }, + "end": { + "lat": 56.85853, + "lon": 40.54028, + "name": "Teykovo" + }, + "waypoint": { + "lat": 40.43355, + "lon": -3.68429, + "name": "Castellana" + }, + "question": "Is Castellana approximately on the direct path from Beveren to Teykovo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2419.7, + "via_waypoint_km": 4984.4, + "detour_km": 2564.6, + "detour_percent": 106.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Beveren", + " End: Teykovo", + " Waypoint: Castellana", + "Step 2: Calculate direct distance", + " Start → End: 2419.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 4984.4 km", + "Step 4: Calculate detour", + " Detour = 4984.4 - 2419.7 = 2564.6 km", + " Detour % = (2564.6 / 2419.7) × 100 = 106.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 106.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 37.74197, + "lon": -122.4863, + "name": "Parkside" + }, + "end": { + "lat": -23.38032, + "lon": 150.50595, + "name": "Rockhampton" + }, + "waypoint": { + "lat": 43.67681, + "lon": 4.63031, + "name": "Arles" + }, + "question": "Is Arles approximately on the direct path from Parkside to Rockhampton?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11323.0, + "via_waypoint_km": 25685.7, + "detour_km": 14362.7, + "detour_percent": 126.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Parkside", + " End: Rockhampton", + " Waypoint: Arles", + "Step 2: Calculate direct distance", + " Start → End: 11323.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25685.7 km", + "Step 4: Calculate detour", + " Detour = 25685.7 - 11323.0 = 14362.7 km", + " Detour % = (14362.7 / 11323.0) × 100 = 126.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 126.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -0.03194, + "lon": 109.325, + "name": "Pontianak" + }, + "end": { + "lat": 41.96722, + "lon": 22.76944, + "name": "Delcevo" + }, + "waypoint": { + "lat": 48.92523, + "lon": 40.39982, + "name": "Millerovo" + }, + "question": "Is Millerovo approximately on the direct path from Pontianak to Delcevo?", + "ground_truth": { + "answer": true, + "direct_distance_km": 9725.2, + "via_waypoint_km": 10063.3, + "detour_km": 338.1, + "detour_percent": 3.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Pontianak", + " End: Delcevo", + " Waypoint: Millerovo", + "Step 2: Calculate direct distance", + " Start → End: 9725.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10063.3 km", + "Step 4: Calculate detour", + " Detour = 10063.3 - 9725.2 = 338.1 km", + " Detour % = (338.1 / 9725.2) × 100 = 3.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 3.5% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 32.75, + "lon": -0.58333, + "name": "Aïn Sefra" + }, + "end": { + "lat": 51.1303, + "lon": 5.45952, + "name": "Peer" + }, + "waypoint": { + "lat": 47.86825, + "lon": 12.64335, + "name": "Traunstein" + }, + "question": "Is Traunstein approximately on the direct path from Aïn Sefra to Peer?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2102.2, + "via_waypoint_km": 2647.1, + "detour_km": 544.9, + "detour_percent": 25.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Aïn Sefra", + " End: Peer", + " Waypoint: Traunstein", + "Step 2: Calculate direct distance", + " Start → End: 2102.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 2647.1 km", + "Step 4: Calculate detour", + " Detour = 2647.1 - 2102.2 = 544.9 km", + " Detour % = (544.9 / 2102.2) × 100 = 25.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 25.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -7.3, + "lon": 20.73333, + "name": "Chitato" + }, + "end": { + "lat": 11.5021, + "lon": 77.25554, + "name": "Kumārapālaiyam" + }, + "waypoint": { + "lat": 19.30023, + "lon": 73.05881, + "name": "Bhiwandi" + }, + "question": "Is Bhiwandi approximately on the direct path from Chitato to Kumārapālaiyam?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6591.8, + "via_waypoint_km": 7424.2, + "detour_km": 832.4, + "detour_percent": 12.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Chitato", + " End: Kumārapālaiyam", + " Waypoint: Bhiwandi", + "Step 2: Calculate direct distance", + " Start → End: 6591.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 7424.2 km", + "Step 4: Calculate detour", + " Detour = 7424.2 - 6591.8 = 832.4 km", + " Detour % = (832.4 / 6591.8) × 100 = 12.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 12.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.23074, + "lon": 5.31349, + "name": "Lommel" + }, + "end": { + "lat": -29.33528, + "lon": -49.72694, + "name": "Torres" + }, + "waypoint": { + "lat": 6.14978, + "lon": 6.78569, + "name": "Onitsha" + }, + "question": "Is Onitsha approximately on the direct path from Lommel to Torres?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10448.7, + "via_waypoint_km": 12220.3, + "detour_km": 1771.6, + "detour_percent": 17.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Lommel", + " End: Torres", + " Waypoint: Onitsha", + "Step 2: Calculate direct distance", + " Start → End: 10448.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12220.3 km", + "Step 4: Calculate detour", + " Detour = 12220.3 - 10448.7 = 1771.6 km", + " Detour % = (1771.6 / 10448.7) × 100 = 17.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 17.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -9.6567, + "lon": 120.2641, + "name": "Waingapu" + }, + "end": { + "lat": -6.55472, + "lon": 106.70083, + "name": "Ciampea" + }, + "waypoint": { + "lat": 22.83727, + "lon": -82.02641, + "name": "Güines" + }, + "question": "Is Güines approximately on the direct path from Waingapu to Ciampea?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1532.2, + "via_waypoint_km": 35204.5, + "detour_km": 33672.3, + "detour_percent": 2197.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Waingapu", + " End: Ciampea", + " Waypoint: Güines", + "Step 2: Calculate direct distance", + " Start → End: 1532.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 35204.5 km", + "Step 4: Calculate detour", + " Detour = 35204.5 - 1532.2 = 33672.3 km", + " Detour % = (33672.3 / 1532.2) × 100 = 2197.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2197.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 31.58803, + "lon": 73.68927, + "name": "Mananwala" + }, + "end": { + "lat": 35.48171, + "lon": 6.26074, + "name": "Tazoult-Lambese" + }, + "waypoint": { + "lat": 5.4151, + "lon": -3.03006, + "name": "Maféré" + }, + "question": "Is Maféré approximately on the direct path from Mananwala to Tazoult-Lambese?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6141.3, + "via_waypoint_km": 11911.7, + "detour_km": 5770.4, + "detour_percent": 94.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mananwala", + " End: Tazoult-Lambese", + " Waypoint: Maféré", + "Step 2: Calculate direct distance", + " Start → End: 6141.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11911.7 km", + "Step 4: Calculate detour", + " Detour = 11911.7 - 6141.3 = 5770.4 km", + " Detour % = (5770.4 / 6141.3) × 100 = 94.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 94.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 31.20864, + "lon": 31.63528, + "name": "Az Zarqā" + }, + "end": { + "lat": -1.9175, + "lon": -55.51806, + "name": "Óbidos" + }, + "waypoint": { + "lat": 41.5067, + "lon": -90.51513, + "name": "Moline" + }, + "question": "Is Moline approximately on the direct path from Az Zarqā to Óbidos?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9847.5, + "via_waypoint_km": 15970.9, + "detour_km": 6123.4, + "detour_percent": 62.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Az Zarqā", + " End: Óbidos", + " Waypoint: Moline", + "Step 2: Calculate direct distance", + " Start → End: 9847.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15970.9 km", + "Step 4: Calculate detour", + " Detour = 15970.9 - 9847.5 = 6123.4 km", + " Detour % = (6123.4 / 9847.5) × 100 = 62.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 62.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -37.84205, + "lon": 145.0694, + "name": "Camberwell" + }, + "end": { + "lat": 47.1921, + "lon": 7.39586, + "name": "Grenchen" + }, + "waypoint": { + "lat": -32.78333, + "lon": -71.21667, + "name": "Hacienda La Calera" + }, + "question": "Is Hacienda La Calera approximately on the direct path from Camberwell to Grenchen?", + "ground_truth": { + "answer": false, + "direct_distance_km": 16442.2, + "via_waypoint_km": 23154.9, + "detour_km": 6712.7, + "detour_percent": 40.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Camberwell", + " End: Grenchen", + " Waypoint: Hacienda La Calera", + "Step 2: Calculate direct distance", + " Start → End: 16442.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23154.9 km", + "Step 4: Calculate detour", + " Detour = 23154.9 - 16442.2 = 6712.7 km", + " Detour % = (6712.7 / 16442.2) × 100 = 40.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 40.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.25182, + "lon": 9.40747, + "name": "Baunatal" + }, + "end": { + "lat": 20.18061, + "lon": 80.00522, + "name": "Garhchiroli" + }, + "waypoint": { + "lat": 7.77104, + "lon": 4.55698, + "name": "Osogbo" + }, + "question": "Is Osogbo approximately on the direct path from Baunatal to Garhchiroli?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6932.0, + "via_waypoint_km": 13052.8, + "detour_km": 6120.8, + "detour_percent": 88.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Baunatal", + " End: Garhchiroli", + " Waypoint: Osogbo", + "Step 2: Calculate direct distance", + " Start → End: 6932.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13052.8 km", + "Step 4: Calculate detour", + " Detour = 13052.8 - 6932.0 = 6120.8 km", + " Detour % = (6120.8 / 6932.0) × 100 = 88.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 88.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 41.69982, + "lon": -72.15702, + "name": "Windham" + }, + "end": { + "lat": 49.84692, + "lon": -99.95306, + "name": "Brandon" + }, + "waypoint": { + "lat": 7.00228, + "lon": 2.60591, + "name": "Adjaouèrè" + }, + "question": "Is Adjaouèrè approximately on the direct path from Windham to Brandon?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2321.3, + "via_waypoint_km": 18527.6, + "detour_km": 16206.3, + "detour_percent": 698.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Windham", + " End: Brandon", + " Waypoint: Adjaouèrè", + "Step 2: Calculate direct distance", + " Start → End: 2321.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18527.6 km", + "Step 4: Calculate detour", + " Detour = 18527.6 - 2321.3 = 16206.3 km", + " Detour % = (16206.3 / 2321.3) × 100 = 698.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 698.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 14.58939, + "lon": -91.52144, + "name": "San Francisco Zapotitlán" + }, + "end": { + "lat": 45.08469, + "lon": -93.00994, + "name": "White Bear Lake" + }, + "waypoint": { + "lat": -25.48251, + "lon": 29.02763, + "name": "Verena" + }, + "question": "Is Verena approximately on the direct path from San Francisco Zapotitlán to White Bear Lake?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3393.8, + "via_waypoint_km": 28191.5, + "detour_km": 24797.6, + "detour_percent": 730.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: San Francisco Zapotitlán", + " End: White Bear Lake", + " Waypoint: Verena", + "Step 2: Calculate direct distance", + " Start → End: 3393.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 28191.5 km", + "Step 4: Calculate detour", + " Detour = 28191.5 - 3393.8 = 24797.6 km", + " Detour % = (24797.6 / 3393.8) × 100 = 730.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 730.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 38.67472, + "lon": 106.32972, + "name": "Changxin" + }, + "end": { + "lat": 9.70028, + "lon": 43.62444, + "name": "Gebiley" + }, + "waypoint": { + "lat": -23.52272, + "lon": -46.835, + "name": "Carapicuíba" + }, + "question": "Is Carapicuíba approximately on the direct path from Changxin to Gebiley?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6975.3, + "via_waypoint_km": 27455.5, + "detour_km": 20480.2, + "detour_percent": 293.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Changxin", + " End: Gebiley", + " Waypoint: Carapicuíba", + "Step 2: Calculate direct distance", + " Start → End: 6975.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27455.5 km", + "Step 4: Calculate detour", + " Detour = 27455.5 - 6975.3 = 20480.2 km", + " Detour % = (20480.2 / 6975.3) × 100 = 293.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 293.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -5.5375, + "lon": -35.81972, + "name": "João Câmara" + }, + "end": { + "lat": 1.53741, + "lon": 103.65779, + "name": "Skudai" + }, + "waypoint": { + "lat": 3.86781, + "lon": 17.98923, + "name": "Mbaïki" + }, + "question": "Is Mbaïki approximately on the direct path from João Câmara to Skudai?", + "ground_truth": { + "answer": true, + "direct_distance_km": 15497.1, + "via_waypoint_km": 15582.2, + "detour_km": 85.1, + "detour_percent": 0.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: João Câmara", + " End: Skudai", + " Waypoint: Mbaïki", + "Step 2: Calculate direct distance", + " Start → End: 15497.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15582.2 km", + "Step 4: Calculate detour", + " Detour = 15582.2 - 15497.1 = 85.1 km", + " Detour % = (85.1 / 15497.1) × 100 = 0.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.5% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 43.71032, + "lon": -1.05366, + "name": "Dax" + }, + "end": { + "lat": 34.56528, + "lon": 110.06639, + "name": "Huayin" + }, + "waypoint": { + "lat": -5.52639, + "lon": -47.49167, + "name": "Imperatriz" + }, + "question": "Is Imperatriz approximately on the direct path from Dax to Huayin?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8870.3, + "via_waypoint_km": 23227.7, + "detour_km": 14357.4, + "detour_percent": 161.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Dax", + " End: Huayin", + " Waypoint: Imperatriz", + "Step 2: Calculate direct distance", + " Start → End: 8870.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23227.7 km", + "Step 4: Calculate detour", + " Detour = 23227.7 - 8870.3 = 14357.4 km", + " Detour % = (14357.4 / 8870.3) × 100 = 161.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 161.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 41.38939, + "lon": 2.15517, + "name": "l'Antiga Esquerra de l'Eixample" + }, + "end": { + "lat": 60.01375, + "lon": 30.39471, + "name": "Akademicheskoe" + }, + "waypoint": { + "lat": 12.80569, + "lon": 74.86058, + "name": "Ullal" + }, + "question": "Is Ullal approximately on the direct path from l'Antiga Esquerra de l'Eixample to Akademicheskoe?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2829.3, + "via_waypoint_km": 14008.6, + "detour_km": 11179.4, + "detour_percent": 395.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: l'Antiga Esquerra de l'Eixample", + " End: Akademicheskoe", + " Waypoint: Ullal", + "Step 2: Calculate direct distance", + " Start → End: 2829.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14008.6 km", + "Step 4: Calculate detour", + " Detour = 14008.6 - 2829.3 = 11179.4 km", + " Detour % = (11179.4 / 2829.3) × 100 = 395.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 395.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 29.25696, + "lon": 106.0629, + "name": "Wutan" + }, + "end": { + "lat": 62.00973, + "lon": -6.77164, + "name": "Tórshavn" + }, + "waypoint": { + "lat": -18.54389, + "lon": -53.12917, + "name": "Costa Rica" + }, + "question": "Is Costa Rica approximately on the direct path from Wutan to Tórshavn?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8248.1, + "via_waypoint_km": 27433.6, + "detour_km": 19185.5, + "detour_percent": 232.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Wutan", + " End: Tórshavn", + " Waypoint: Costa Rica", + "Step 2: Calculate direct distance", + " Start → End: 8248.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27433.6 km", + "Step 4: Calculate detour", + " Detour = 27433.6 - 8248.1 = 19185.5 km", + " Detour % = (19185.5 / 8248.1) × 100 = 232.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 232.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -6.1, + "lon": 37.45, + "name": "Lubata" + }, + "end": { + "lat": 35.04563, + "lon": -85.30968, + "name": "Chattanooga" + }, + "waypoint": { + "lat": 55.75556, + "lon": 60.70278, + "name": "Ozersk" + }, + "question": "Is Ozersk approximately on the direct path from Lubata to Chattanooga?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13354.6, + "via_waypoint_km": 16618.3, + "detour_km": 3263.7, + "detour_percent": 24.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Lubata", + " End: Chattanooga", + " Waypoint: Ozersk", + "Step 2: Calculate direct distance", + " Start → End: 13354.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16618.3 km", + "Step 4: Calculate detour", + " Detour = 16618.3 - 13354.6 = 3263.7 km", + " Detour % = (3263.7 / 13354.6) × 100 = 24.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 24.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 15.03425, + "lon": 120.68445, + "name": "San Fernando" + }, + "end": { + "lat": 16.69605, + "lon": 76.8422, + "name": "Shāhpur" + }, + "waypoint": { + "lat": -33.8178, + "lon": 151.00348, + "name": "Parramatta" + }, + "question": "Is Parramatta approximately on the direct path from San Fernando to Shāhpur?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4683.7, + "via_waypoint_km": 15952.8, + "detour_km": 11269.1, + "detour_percent": 240.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: San Fernando", + " End: Shāhpur", + " Waypoint: Parramatta", + "Step 2: Calculate direct distance", + " Start → End: 4683.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15952.8 km", + "Step 4: Calculate detour", + " Detour = 15952.8 - 4683.7 = 11269.1 km", + " Detour % = (11269.1 / 4683.7) × 100 = 240.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 240.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.66667, + "lon": 124.4, + "name": "Xinlin" + }, + "end": { + "lat": 25.80722, + "lon": 109.2125, + "name": "Long’e" + }, + "waypoint": { + "lat": -22.46917, + "lon": -48.9875, + "name": "Agudos" + }, + "question": "Is Agudos approximately on the direct path from Xinlin to Long’e?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3148.3, + "via_waypoint_km": 34493.8, + "detour_km": 31345.5, + "detour_percent": 995.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Xinlin", + " End: Long’e", + " Waypoint: Agudos", + "Step 2: Calculate direct distance", + " Start → End: 3148.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 34493.8 km", + "Step 4: Calculate detour", + " Detour = 34493.8 - 3148.3 = 31345.5 km", + " Detour % = (31345.5 / 3148.3) × 100 = 995.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 995.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 1.15944, + "lon": 31.61083, + "name": "Butemba" + }, + "end": { + "lat": 30.63965, + "lon": 108.23701, + "name": "Longsha" + }, + "waypoint": { + "lat": 52.48419, + "lon": 13.53185, + "name": "Karlshorst" + }, + "question": "Is Karlshorst approximately on the direct path from Butemba to Longsha?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8664.3, + "via_waypoint_km": 13601.5, + "detour_km": 4937.2, + "detour_percent": 57.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Butemba", + " End: Longsha", + " Waypoint: Karlshorst", + "Step 2: Calculate direct distance", + " Start → End: 8664.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13601.5 km", + "Step 4: Calculate detour", + " Detour = 13601.5 - 8664.3 = 4937.2 km", + " Detour % = (4937.2 / 8664.3) × 100 = 57.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 57.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 33.89152, + "lon": 9.79629, + "name": "El Hamma" + }, + "end": { + "lat": 29.9, + "lon": 31.25, + "name": "Al Ḩawāmidīyah" + }, + "waypoint": { + "lat": 17.24968, + "lon": 80.86899, + "name": "Sathupalli" + }, + "question": "Is Sathupalli approximately on the direct path from El Hamma to Al Ḩawāmidīyah?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2069.3, + "via_waypoint_km": 12435.5, + "detour_km": 10366.2, + "detour_percent": 501.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: El Hamma", + " End: Al Ḩawāmidīyah", + " Waypoint: Sathupalli", + "Step 2: Calculate direct distance", + " Start → End: 2069.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12435.5 km", + "Step 4: Calculate detour", + " Detour = 12435.5 - 2069.3 = 10366.2 km", + " Detour % = (10366.2 / 2069.3) × 100 = 501.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 501.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 25.11626, + "lon": 99.16366, + "name": "Baoshan" + }, + "end": { + "lat": 36.79583, + "lon": 119.73667, + "name": "Tianzhuang" + }, + "waypoint": { + "lat": -1.44285, + "lon": -79.46274, + "name": "Ventanas" + }, + "question": "Is Ventanas approximately on the direct path from Baoshan to Tianzhuang?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2344.4, + "via_waypoint_km": 32996.0, + "detour_km": 30651.6, + "detour_percent": 1307.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Baoshan", + " End: Tianzhuang", + " Waypoint: Ventanas", + "Step 2: Calculate direct distance", + " Start → End: 2344.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 32996.0 km", + "Step 4: Calculate detour", + " Detour = 32996.0 - 2344.4 = 30651.6 km", + " Detour % = (30651.6 / 2344.4) × 100 = 1307.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1307.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 28.90772, + "lon": 108.34856, + "name": "Gongtan" + }, + "end": { + "lat": 41.60232, + "lon": -72.98677, + "name": "Wolcott" + }, + "waypoint": { + "lat": 39.93345, + "lon": -75.17796, + "name": "Point Breeze" + }, + "question": "Is Point Breeze approximately on the direct path from Gongtan to Wolcott?", + "ground_truth": { + "answer": true, + "direct_distance_km": 12173.5, + "via_waypoint_km": 12613.3, + "detour_km": 439.8, + "detour_percent": 3.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Gongtan", + " End: Wolcott", + " Waypoint: Point Breeze", + "Step 2: Calculate direct distance", + " Start → End: 12173.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12613.3 km", + "Step 4: Calculate detour", + " Detour = 12613.3 - 12173.5 = 439.8 km", + " Detour % = (439.8 / 12173.5) × 100 = 3.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 3.6% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -22.64583, + "lon": -47.19611, + "name": "Cosmópolis" + }, + "end": { + "lat": 50.84378, + "lon": 16.48859, + "name": "Świdnica" + }, + "waypoint": { + "lat": 11.70172, + "lon": 75.53474, + "name": "Mahē" + }, + "question": "Is Mahē approximately on the direct path from Cosmópolis to Świdnica?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10263.9, + "via_waypoint_km": 20698.2, + "detour_km": 10434.3, + "detour_percent": 101.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Cosmópolis", + " End: Świdnica", + " Waypoint: Mahē", + "Step 2: Calculate direct distance", + " Start → End: 10263.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20698.2 km", + "Step 4: Calculate detour", + " Detour = 20698.2 - 10263.9 = 10434.3 km", + " Detour % = (10434.3 / 10263.9) × 100 = 101.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 101.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 9.36218, + "lon": -79.83232, + "name": "Cativá" + }, + "end": { + "lat": 34.0363, + "lon": -118.44949, + "name": "Sawtelle" + }, + "waypoint": { + "lat": 51.66361, + "lon": 16.0845, + "name": "Głogów" + }, + "question": "Is Głogów approximately on the direct path from Cativá to Sawtelle?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4794.9, + "via_waypoint_km": 19102.9, + "detour_km": 14308.0, + "detour_percent": 298.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Cativá", + " End: Sawtelle", + " Waypoint: Głogów", + "Step 2: Calculate direct distance", + " Start → End: 4794.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19102.9 km", + "Step 4: Calculate detour", + " Detour = 19102.9 - 4794.9 = 14308.0 km", + " Detour % = (14308.0 / 4794.9) × 100 = 298.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 298.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 47.14121, + "lon": -122.27012, + "name": "South Hill" + }, + "end": { + "lat": -33.79176, + "lon": 151.08057, + "name": "Eastwood" + }, + "waypoint": { + "lat": -21.44345, + "lon": -65.71875, + "name": "Tupiza" + }, + "question": "Is Tupiza approximately on the direct path from South Hill to Eastwood?", + "ground_truth": { + "answer": false, + "direct_distance_km": 12454.2, + "via_waypoint_km": 22232.5, + "detour_km": 9778.4, + "detour_percent": 78.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: South Hill", + " End: Eastwood", + " Waypoint: Tupiza", + "Step 2: Calculate direct distance", + " Start → End: 12454.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22232.5 km", + "Step 4: Calculate detour", + " Detour = 22232.5 - 12454.2 = 9778.4 km", + " Detour % = (9778.4 / 12454.2) × 100 = 78.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 78.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -38.0965, + "lon": 145.26707, + "name": "Cranbourne West" + }, + "end": { + "lat": 36.08725, + "lon": 4.45192, + "name": "Mansourah" + }, + "waypoint": { + "lat": 15.18636, + "lon": 100.12353, + "name": "Chai Nat" + }, + "question": "Is Chai Nat approximately on the direct path from Cranbourne West to Mansourah?", + "ground_truth": { + "answer": true, + "direct_distance_km": 16558.1, + "via_waypoint_km": 17080.0, + "detour_km": 521.9, + "detour_percent": 3.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Cranbourne West", + " End: Mansourah", + " Waypoint: Chai Nat", + "Step 2: Calculate direct distance", + " Start → End: 16558.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17080.0 km", + "Step 4: Calculate detour", + " Detour = 17080.0 - 16558.1 = 521.9 km", + " Detour % = (521.9 / 16558.1) × 100 = 3.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 3.2% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 14.0775, + "lon": -3.51594, + "name": "Bankass" + }, + "end": { + "lat": 12.5301, + "lon": 77.78887, + "name": "Denkanikota" + }, + "waypoint": { + "lat": 47.81065, + "lon": -122.37736, + "name": "Edmonds" + }, + "question": "Is Edmonds approximately on the direct path from Bankass to Denkanikota?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8751.2, + "via_waypoint_km": 23879.7, + "detour_km": 15128.5, + "detour_percent": 172.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bankass", + " End: Denkanikota", + " Waypoint: Edmonds", + "Step 2: Calculate direct distance", + " Start → End: 8751.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23879.7 km", + "Step 4: Calculate detour", + " Detour = 23879.7 - 8751.2 = 15128.5 km", + " Detour % = (15128.5 / 8751.2) × 100 = 172.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 172.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 10.33137, + "lon": -3.18202, + "name": "Gaoua" + }, + "end": { + "lat": 37.64292, + "lon": -77.50887, + "name": "Laurel" + }, + "waypoint": { + "lat": 11.60379, + "lon": 78.57782, + "name": "Narasingapuram" + }, + "question": "Is Narasingapuram approximately on the direct path from Gaoua to Laurel?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7932.5, + "via_waypoint_km": 22890.3, + "detour_km": 14957.9, + "detour_percent": 188.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Gaoua", + " End: Laurel", + " Waypoint: Narasingapuram", + "Step 2: Calculate direct distance", + " Start → End: 7932.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22890.3 km", + "Step 4: Calculate detour", + " Detour = 22890.3 - 7932.5 = 14957.9 km", + " Detour % = (14957.9 / 7932.5) × 100 = 188.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 188.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 39.69333, + "lon": 125.21028, + "name": "Chŏngju" + }, + "end": { + "lat": 11.93062, + "lon": -85.95368, + "name": "Granada" + }, + "waypoint": { + "lat": 38.97089, + "lon": 16.31285, + "name": "Nicastro" + }, + "question": "Is Nicastro approximately on the direct path from Chŏngju to Granada?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13433.3, + "via_waypoint_km": 18882.0, + "detour_km": 5448.7, + "detour_percent": 40.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Chŏngju", + " End: Granada", + " Waypoint: Nicastro", + "Step 2: Calculate direct distance", + " Start → End: 13433.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18882.0 km", + "Step 4: Calculate detour", + " Detour = 18882.0 - 13433.3 = 5448.7 km", + " Detour % = (5448.7 / 13433.3) × 100 = 40.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 40.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -5.9988, + "lon": 23.25386, + "name": "Kabeya-Kamwanga" + }, + "end": { + "lat": 36.73944, + "lon": 7.10528, + "name": "Azzaba" + }, + "waypoint": { + "lat": 19.05577, + "lon": 79.493, + "name": "Bellampalli" + }, + "question": "Is Bellampalli approximately on the direct path from Kabeya-Kamwanga to Azzaba?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5040.5, + "via_waypoint_km": 13972.2, + "detour_km": 8931.6, + "detour_percent": 177.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kabeya-Kamwanga", + " End: Azzaba", + " Waypoint: Bellampalli", + "Step 2: Calculate direct distance", + " Start → End: 5040.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13972.2 km", + "Step 4: Calculate detour", + " Detour = 13972.2 - 5040.5 = 8931.6 km", + " Detour % = (8931.6 / 5040.5) × 100 = 177.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 177.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -23.84861, + "lon": -50.18778, + "name": "Ibaiti" + }, + "end": { + "lat": 31.30862, + "lon": -110.94217, + "name": "Nogales" + }, + "waypoint": { + "lat": 31.31913, + "lon": 34.34005, + "name": "‘Abasān al Kabīrah" + }, + "question": "Is ‘Abasān al Kabīrah approximately on the direct path from Ibaiti to Nogales?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8908.4, + "via_waypoint_km": 23023.5, + "detour_km": 14115.0, + "detour_percent": 158.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ibaiti", + " End: Nogales", + " Waypoint: ‘Abasān al Kabīrah", + "Step 2: Calculate direct distance", + " Start → End: 8908.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23023.5 km", + "Step 4: Calculate detour", + " Detour = 23023.5 - 8908.4 = 14115.0 km", + " Detour % = (14115.0 / 8908.4) × 100 = 158.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 158.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 35.43058, + "lon": 1.75714, + "name": "Mehdia daira de meghila" + }, + "end": { + "lat": 16.24004, + "lon": -92.13668, + "name": "Comitán" + }, + "waypoint": { + "lat": 63.29091, + "lon": 18.71525, + "name": "Örnsköldsvik" + }, + "question": "Is Örnsköldsvik approximately on the direct path from Mehdia daira de meghila to Comitán?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9311.7, + "via_waypoint_km": 12702.1, + "detour_km": 3390.3, + "detour_percent": 36.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mehdia daira de meghila", + " End: Comitán", + " Waypoint: Örnsköldsvik", + "Step 2: Calculate direct distance", + " Start → End: 9311.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12702.1 km", + "Step 4: Calculate detour", + " Detour = 12702.1 - 9311.7 = 3390.3 km", + " Detour % = (3390.3 / 9311.7) × 100 = 36.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 36.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.37577, + "lon": 47.12619, + "name": "Barda" + }, + "end": { + "lat": -15.24835, + "lon": 23.12741, + "name": "Mongu" + }, + "waypoint": { + "lat": 19.21778, + "lon": -98.98806, + "name": "San Antonio Tecómitl" + }, + "question": "Is San Antonio Tecómitl approximately on the direct path from Barda to Mongu?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6663.7, + "via_waypoint_km": 26396.7, + "detour_km": 19733.0, + "detour_percent": 296.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Barda", + " End: Mongu", + " Waypoint: San Antonio Tecómitl", + "Step 2: Calculate direct distance", + " Start → End: 6663.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26396.7 km", + "Step 4: Calculate detour", + " Detour = 26396.7 - 6663.7 = 19733.0 km", + " Detour % = (19733.0 / 6663.7) × 100 = 296.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 296.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 32.74818, + "lon": -96.47193, + "name": "Forney" + }, + "end": { + "lat": 45.25167, + "lon": 19.83694, + "name": "Novi Sad" + }, + "waypoint": { + "lat": -34.92866, + "lon": 138.59863, + "name": "Adelaide" + }, + "question": "Is Adelaide approximately on the direct path from Forney to Novi Sad?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9229.9, + "via_waypoint_km": 29797.7, + "detour_km": 20567.8, + "detour_percent": 222.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Forney", + " End: Novi Sad", + " Waypoint: Adelaide", + "Step 2: Calculate direct distance", + " Start → End: 9229.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 29797.7 km", + "Step 4: Calculate detour", + " Detour = 29797.7 - 9229.9 = 20567.8 km", + " Detour % = (20567.8 / 9229.9) × 100 = 222.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 222.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -10.28139, + "lon": -37.01861, + "name": "Aquidabã" + }, + "end": { + "lat": -23.10167, + "lon": -48.61583, + "name": "Itatinga" + }, + "waypoint": { + "lat": 4.96531, + "lon": -73.91301, + "name": "Tocancipá" + }, + "question": "Is Tocancipá approximately on the direct path from Aquidabã to Itatinga?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1884.0, + "via_waypoint_km": 8581.0, + "detour_km": 6697.0, + "detour_percent": 355.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Aquidabã", + " End: Itatinga", + " Waypoint: Tocancipá", + "Step 2: Calculate direct distance", + " Start → End: 1884.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 8581.0 km", + "Step 4: Calculate detour", + " Detour = 8581.0 - 1884.0 = 6697.0 km", + " Detour % = (6697.0 / 1884.0) × 100 = 355.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 355.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 41.22374, + "lon": -73.06164, + "name": "City of Milford (balance)" + }, + "end": { + "lat": 20.85865, + "lon": 72.90648, + "name": "Abrama" + }, + "waypoint": { + "lat": 50.3112, + "lon": 31.46712, + "name": "Berezan" + }, + "question": "Is Berezan approximately on the direct path from City of Milford (balance) to Abrama?", + "ground_truth": { + "answer": true, + "direct_distance_km": 12270.8, + "via_waypoint_km": 12352.4, + "detour_km": 81.6, + "detour_percent": 0.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: City of Milford (balance)", + " End: Abrama", + " Waypoint: Berezan", + "Step 2: Calculate direct distance", + " Start → End: 12270.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12352.4 km", + "Step 4: Calculate detour", + " Detour = 12352.4 - 12270.8 = 81.6 km", + " Detour % = (81.6 / 12270.8) × 100 = 0.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.7% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -6.97038, + "lon": 109.64794, + "name": "Kedungwuni" + }, + "end": { + "lat": 22.81899, + "lon": 113.67306, + "name": "Humen" + }, + "waypoint": { + "lat": 9.00098, + "lon": -71.92683, + "name": "San Carlos del Zulia" + }, + "question": "Is San Carlos del Zulia approximately on the direct path from Kedungwuni to Humen?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3341.3, + "via_waypoint_km": 36155.1, + "detour_km": 32813.9, + "detour_percent": 982.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kedungwuni", + " End: Humen", + " Waypoint: San Carlos del Zulia", + "Step 2: Calculate direct distance", + " Start → End: 3341.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 36155.1 km", + "Step 4: Calculate detour", + " Detour = 36155.1 - 3341.3 = 32813.9 km", + " Detour % = (32813.9 / 3341.3) × 100 = 982.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 982.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 31.78447, + "lon": 71.10197, + "name": "Darya Khan" + }, + "end": { + "lat": -22.10667, + "lon": -41.47222, + "name": "Quissamã" + }, + "waypoint": { + "lat": 34.05223, + "lon": -118.24368, + "name": "Los Angeles" + }, + "question": "Is Los Angeles approximately on the direct path from Darya Khan to Quissamã?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13347.4, + "via_waypoint_km": 22860.3, + "detour_km": 9512.9, + "detour_percent": 71.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Darya Khan", + " End: Quissamã", + " Waypoint: Los Angeles", + "Step 2: Calculate direct distance", + " Start → End: 13347.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22860.3 km", + "Step 4: Calculate detour", + " Detour = 22860.3 - 13347.4 = 9512.9 km", + " Detour % = (9512.9 / 13347.4) × 100 = 71.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 71.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -37.87397, + "lon": 145.04253, + "name": "Malvern East" + }, + "end": { + "lat": 7.33991, + "lon": -2.32676, + "name": "Sunyani" + }, + "waypoint": { + "lat": 13.7068, + "lon": 123.2087, + "name": "Calabanga" + }, + "question": "Is Calabanga approximately on the direct path from Malvern East to Sunyani?", + "ground_truth": { + "answer": false, + "direct_distance_km": 15293.8, + "via_waypoint_km": 19735.9, + "detour_km": 4442.1, + "detour_percent": 29.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Malvern East", + " End: Sunyani", + " Waypoint: Calabanga", + "Step 2: Calculate direct distance", + " Start → End: 15293.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19735.9 km", + "Step 4: Calculate detour", + " Detour = 19735.9 - 15293.8 = 4442.1 km", + " Detour % = (4442.1 / 15293.8) × 100 = 29.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 29.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 7.79688, + "lon": 6.74048, + "name": "Lokoja" + }, + "end": { + "lat": 13.56083, + "lon": 38.97389, + "name": "Ābīy Ādī" + }, + "waypoint": { + "lat": 21.3851, + "lon": 78.92155, + "name": "Saoner" + }, + "question": "Is Saoner approximately on the direct path from Lokoja to Ābīy Ādī?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3576.7, + "via_waypoint_km": 12166.2, + "detour_km": 8589.5, + "detour_percent": 240.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Lokoja", + " End: Ābīy Ādī", + " Waypoint: Saoner", + "Step 2: Calculate direct distance", + " Start → End: 3576.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12166.2 km", + "Step 4: Calculate detour", + " Detour = 12166.2 - 3576.7 = 8589.5 km", + " Detour % = (8589.5 / 3576.7) × 100 = 240.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 240.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 8.0162, + "lon": -62.40561, + "name": "Upata" + }, + "end": { + "lat": 8.1575, + "lon": 125.12778, + "name": "Malaybalay" + }, + "waypoint": { + "lat": 2.88333, + "lon": 112.85, + "name": "Tatau" + }, + "question": "Is Tatau approximately on the direct path from Upata to Malaybalay?", + "ground_truth": { + "answer": false, + "direct_distance_km": 18032.3, + "via_waypoint_km": 20173.4, + "detour_km": 2141.1, + "detour_percent": 11.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Upata", + " End: Malaybalay", + " Waypoint: Tatau", + "Step 2: Calculate direct distance", + " Start → End: 18032.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20173.4 km", + "Step 4: Calculate detour", + " Detour = 20173.4 - 18032.3 = 2141.1 km", + " Detour % = (2141.1 / 18032.3) × 100 = 11.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 11.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -33.8188, + "lon": 151.1062, + "name": "Ryde" + }, + "end": { + "lat": -8.4504, + "lon": 115.5925, + "name": "Bedugul" + }, + "waypoint": { + "lat": 42.76296, + "lon": 11.10941, + "name": "Grosseto" + }, + "question": "Is Grosseto approximately on the direct path from Ryde to Bedugul?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4597.8, + "via_waypoint_km": 28246.6, + "detour_km": 23648.8, + "detour_percent": 514.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ryde", + " End: Bedugul", + " Waypoint: Grosseto", + "Step 2: Calculate direct distance", + " Start → End: 4597.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 28246.6 km", + "Step 4: Calculate detour", + " Detour = 28246.6 - 4597.8 = 23648.8 km", + " Detour % = (23648.8 / 4597.8) × 100 = 514.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 514.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.67931, + "lon": 10.29195, + "name": "La Sebala du Mornag" + }, + "end": { + "lat": 34.05466, + "lon": -5.00725, + "name": "New Fes" + }, + "waypoint": { + "lat": 53.06878, + "lon": -2.52051, + "name": "Nantwich" + }, + "question": "Is Nantwich approximately on the direct path from La Sebala du Mornag to New Fes?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1416.0, + "via_waypoint_km": 4199.6, + "detour_km": 2783.7, + "detour_percent": 196.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: La Sebala du Mornag", + " End: New Fes", + " Waypoint: Nantwich", + "Step 2: Calculate direct distance", + " Start → End: 1416.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 4199.6 km", + "Step 4: Calculate detour", + " Detour = 4199.6 - 1416.0 = 2783.7 km", + " Detour % = (2783.7 / 1416.0) × 100 = 196.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 196.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 21.76259, + "lon": 85.97319, + "name": "Karanjiā" + }, + "end": { + "lat": 40.47714, + "lon": -3.70959, + "name": "Pilar" + }, + "waypoint": { + "lat": 40.14477, + "lon": -84.24244, + "name": "Piqua" + }, + "question": "Is Piqua approximately on the direct path from Karanjiā to Pilar?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8433.3, + "via_waypoint_km": 19624.0, + "detour_km": 11190.7, + "detour_percent": 132.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Karanjiā", + " End: Pilar", + " Waypoint: Piqua", + "Step 2: Calculate direct distance", + " Start → End: 8433.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19624.0 km", + "Step 4: Calculate detour", + " Detour = 19624.0 - 8433.3 = 11190.7 km", + " Detour % = (11190.7 / 8433.3) × 100 = 132.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 132.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.66889, + "lon": 36.5675, + "name": "Erbaa" + }, + "end": { + "lat": 8.85031, + "lon": 76.69516, + "name": "Mīnād" + }, + "waypoint": { + "lat": 47.42698, + "lon": 19.04016, + "name": "Budapest XXII. kerület" + }, + "question": "Is Budapest XXII. kerület approximately on the direct path from Erbaa to Mīnād?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5301.5, + "via_waypoint_km": 8468.0, + "detour_km": 3166.6, + "detour_percent": 59.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Erbaa", + " End: Mīnād", + " Waypoint: Budapest XXII. kerület", + "Step 2: Calculate direct distance", + " Start → End: 5301.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 8468.0 km", + "Step 4: Calculate detour", + " Detour = 8468.0 - 5301.5 = 3166.6 km", + " Detour % = (3166.6 / 5301.5) × 100 = 59.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 59.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 6.20228, + "lon": -1.66796, + "name": "Obuase" + }, + "end": { + "lat": 21.16157, + "lon": 73.79399, + "name": "Navāpur" + }, + "waypoint": { + "lat": 32.97888, + "lon": 130.44572, + "name": "Arao" + }, + "question": "Is Arao approximately on the direct path from Obuase to Navāpur?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8254.3, + "via_waypoint_km": 19040.3, + "detour_km": 10785.9, + "detour_percent": 130.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Obuase", + " End: Navāpur", + " Waypoint: Arao", + "Step 2: Calculate direct distance", + " Start → End: 8254.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19040.3 km", + "Step 4: Calculate detour", + " Detour = 19040.3 - 8254.3 = 10785.9 km", + " Detour % = (10785.9 / 8254.3) × 100 = 130.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 130.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 49.83078, + "lon": 8.74887, + "name": "Ober-Ramstadt" + }, + "end": { + "lat": -22.52306, + "lon": -44.10417, + "name": "Volta Redonda" + }, + "waypoint": { + "lat": 44.57149, + "lon": 129.38539, + "name": "Hailin" + }, + "question": "Is Hailin approximately on the direct path from Ober-Ramstadt to Volta Redonda?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9579.7, + "via_waypoint_km": 25544.6, + "detour_km": 15964.9, + "detour_percent": 166.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ober-Ramstadt", + " End: Volta Redonda", + " Waypoint: Hailin", + "Step 2: Calculate direct distance", + " Start → End: 9579.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25544.6 km", + "Step 4: Calculate detour", + " Detour = 25544.6 - 9579.7 = 15964.9 km", + " Detour % = (15964.9 / 9579.7) × 100 = 166.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 166.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.19112, + "lon": 5.41373, + "name": "Sétif" + }, + "end": { + "lat": 9.06757, + "lon": -5.77222, + "name": "Dikodougou" + }, + "waypoint": { + "lat": 45.78693, + "lon": 4.9251, + "name": "Vaulx-en-Velin" + }, + "question": "Is Vaulx-en-Velin approximately on the direct path from Sétif to Dikodougou?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3221.2, + "via_waypoint_km": 5276.7, + "detour_km": 2055.5, + "detour_percent": 63.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sétif", + " End: Dikodougou", + " Waypoint: Vaulx-en-Velin", + "Step 2: Calculate direct distance", + " Start → End: 3221.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 5276.7 km", + "Step 4: Calculate detour", + " Detour = 5276.7 - 3221.2 = 2055.5 km", + " Detour % = (2055.5 / 3221.2) × 100 = 63.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 63.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 42.6987, + "lon": -71.13506, + "name": "North Andover" + }, + "end": { + "lat": 47.04491, + "lon": -122.90169, + "name": "Olympia" + }, + "waypoint": { + "lat": -6.22944, + "lon": -36.02278, + "name": "Santa Cruz" + }, + "question": "Is Santa Cruz approximately on the direct path from North Andover to Olympia?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4032.9, + "via_waypoint_km": 16771.9, + "detour_km": 12739.0, + "detour_percent": 315.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: North Andover", + " End: Olympia", + " Waypoint: Santa Cruz", + "Step 2: Calculate direct distance", + " Start → End: 4032.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16771.9 km", + "Step 4: Calculate detour", + " Detour = 16771.9 - 4032.9 = 12739.0 km", + " Detour % = (12739.0 / 4032.9) × 100 = 315.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 315.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 8.4115, + "lon": -75.58508, + "name": "Planeta Rica" + }, + "end": { + "lat": 41.00231, + "lon": 28.8598, + "name": "Bahçelievler" + }, + "waypoint": { + "lat": 42.4584, + "lon": 14.20283, + "name": "Pescara" + }, + "question": "Is Pescara approximately on the direct path from Planeta Rica to Bahçelievler?", + "ground_truth": { + "answer": true, + "direct_distance_km": 10583.3, + "via_waypoint_km": 10585.5, + "detour_km": 2.2, + "detour_percent": 0.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Planeta Rica", + " End: Bahçelievler", + " Waypoint: Pescara", + "Step 2: Calculate direct distance", + " Start → End: 10583.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10585.5 km", + "Step 4: Calculate detour", + " Detour = 10585.5 - 10583.3 = 2.2 km", + " Detour % = (2.2 / 10583.3) × 100 = 0.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.0% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 54.35806, + "lon": 59.43611, + "name": "Uchaly" + }, + "end": { + "lat": 28.36725, + "lon": 75.60352, + "name": "Pilāni" + }, + "waypoint": { + "lat": 15.72299, + "lon": 75.38666, + "name": "Nargund" + }, + "question": "Is Nargund approximately on the direct path from Uchaly to Pilāni?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3172.1, + "via_waypoint_km": 5918.0, + "detour_km": 2745.9, + "detour_percent": 86.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Uchaly", + " End: Pilāni", + " Waypoint: Nargund", + "Step 2: Calculate direct distance", + " Start → End: 3172.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 5918.0 km", + "Step 4: Calculate detour", + " Detour = 5918.0 - 3172.1 = 2745.9 km", + " Detour % = (2745.9 / 3172.1) × 100 = 86.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 86.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -4.13, + "lon": -44.12417, + "name": "Coroatá" + }, + "end": { + "lat": 54.06004, + "lon": 44.94899, + "name": "Ruzayevka" + }, + "waypoint": { + "lat": 5.75132, + "lon": 9.3137, + "name": "Mamfe" + }, + "question": "Is Mamfe approximately on the direct path from Coroatá to Ruzayevka?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10318.8, + "via_waypoint_km": 12288.0, + "detour_km": 1969.2, + "detour_percent": 19.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Coroatá", + " End: Ruzayevka", + " Waypoint: Mamfe", + "Step 2: Calculate direct distance", + " Start → End: 10318.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12288.0 km", + "Step 4: Calculate detour", + " Detour = 12288.0 - 10318.8 = 1969.2 km", + " Detour % = (1969.2 / 10318.8) × 100 = 19.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 19.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 55.93276, + "lon": 97.98964, + "name": "Tayshet" + }, + "end": { + "lat": -33.72197, + "lon": 151.04607, + "name": "Cherrybrook" + }, + "waypoint": { + "lat": -10.06667, + "lon": 38.93333, + "name": "Ruangwa" + }, + "question": "Is Ruangwa approximately on the direct path from Tayshet to Cherrybrook?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11159.7, + "via_waypoint_km": 20483.9, + "detour_km": 9324.2, + "detour_percent": 83.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tayshet", + " End: Cherrybrook", + " Waypoint: Ruangwa", + "Step 2: Calculate direct distance", + " Start → End: 11159.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20483.9 km", + "Step 4: Calculate detour", + " Detour = 20483.9 - 11159.7 = 9324.2 km", + " Detour % = (9324.2 / 11159.7) × 100 = 83.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 83.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 42.37093, + "lon": -71.18283, + "name": "Watertown" + }, + "end": { + "lat": -10.49167, + "lon": -37.19333, + "name": "Nossa Senhora das Dores" + }, + "waypoint": { + "lat": 35.65087, + "lon": 139.79163, + "name": "Toyosu" + }, + "question": "Is Toyosu approximately on the direct path from Watertown to Nossa Senhora das Dores?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6820.7, + "via_waypoint_km": 27987.3, + "detour_km": 21166.6, + "detour_percent": 310.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Watertown", + " End: Nossa Senhora das Dores", + " Waypoint: Toyosu", + "Step 2: Calculate direct distance", + " Start → End: 6820.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27987.3 km", + "Step 4: Calculate detour", + " Detour = 27987.3 - 6820.7 = 21166.6 km", + " Detour % = (21166.6 / 6820.7) × 100 = 310.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 310.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -28.83208, + "lon": -49.2366, + "name": "Balneário Rincão" + }, + "end": { + "lat": 1.28626, + "lon": -78.83514, + "name": "San Lorenzo de Esmeraldas" + }, + "waypoint": { + "lat": 42.88064, + "lon": -71.32729, + "name": "Derry" + }, + "question": "Is Derry approximately on the direct path from Balneário Rincão to San Lorenzo de Esmeraldas?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4597.8, + "via_waypoint_km": 12972.9, + "detour_km": 8375.1, + "detour_percent": 182.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Balneário Rincão", + " End: San Lorenzo de Esmeraldas", + " Waypoint: Derry", + "Step 2: Calculate direct distance", + " Start → End: 4597.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12972.9 km", + "Step 4: Calculate detour", + " Detour = 12972.9 - 4597.8 = 8375.1 km", + " Detour % = (8375.1 / 4597.8) × 100 = 182.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 182.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 26.35937, + "lon": 127.86735, + "name": "Gushikawa" + }, + "end": { + "lat": 13.33914, + "lon": 78.21175, + "name": "Srīnivāspur" + }, + "waypoint": { + "lat": 7.63501, + "lon": -66.16815, + "name": "Caicara del Orinoco" + }, + "question": "Is Caicara del Orinoco approximately on the direct path from Gushikawa to Srīnivāspur?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5356.8, + "via_waypoint_km": 31385.2, + "detour_km": 26028.4, + "detour_percent": 485.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Gushikawa", + " End: Srīnivāspur", + " Waypoint: Caicara del Orinoco", + "Step 2: Calculate direct distance", + " Start → End: 5356.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 31385.2 km", + "Step 4: Calculate detour", + " Detour = 31385.2 - 5356.8 = 26028.4 km", + " Detour % = (26028.4 / 5356.8) × 100 = 485.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 485.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 55.67738, + "lon": 37.76005, + "name": "Lyublino" + }, + "end": { + "lat": 60.01667, + "lon": 30.35, + "name": "Sosnovka" + }, + "waypoint": { + "lat": 15.61867, + "lon": -16.22436, + "name": "Louga" + }, + "question": "Is Louga approximately on the direct path from Lyublino to Sosnovka?", + "ground_truth": { + "answer": false, + "direct_distance_km": 651.2, + "via_waypoint_km": 12550.2, + "detour_km": 11899.0, + "detour_percent": 1827.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Lyublino", + " End: Sosnovka", + " Waypoint: Louga", + "Step 2: Calculate direct distance", + " Start → End: 651.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12550.2 km", + "Step 4: Calculate detour", + " Detour = 12550.2 - 651.2 = 11899.0 km", + " Detour % = (11899.0 / 651.2) × 100 = 1827.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1827.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.44626, + "lon": -3.68411, + "name": "El Viso" + }, + "end": { + "lat": 39.81632, + "lon": 16.20183, + "name": "Castrovillari" + }, + "waypoint": { + "lat": 37.27516, + "lon": 79.67807, + "name": "Manglai" + }, + "question": "Is Manglai approximately on the direct path from El Viso to Castrovillari?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1688.5, + "via_waypoint_km": 12350.2, + "detour_km": 10661.7, + "detour_percent": 631.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: El Viso", + " End: Castrovillari", + " Waypoint: Manglai", + "Step 2: Calculate direct distance", + " Start → End: 1688.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12350.2 km", + "Step 4: Calculate detour", + " Detour = 12350.2 - 1688.5 = 10661.7 km", + " Detour % = (10661.7 / 1688.5) × 100 = 631.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 631.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 27.48905, + "lon": 95.35992, + "name": "Tinsukia" + }, + "end": { + "lat": 40.48205, + "lon": -3.35996, + "name": "Alcalá de Henares" + }, + "waypoint": { + "lat": 50.57904, + "lon": 4.07129, + "name": "Soignies" + }, + "question": "Is Soignies approximately on the direct path from Tinsukia to Alcalá de Henares?", + "ground_truth": { + "answer": true, + "direct_distance_km": 8741.8, + "via_waypoint_km": 9032.5, + "detour_km": 290.8, + "detour_percent": 3.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tinsukia", + " End: Alcalá de Henares", + " Waypoint: Soignies", + "Step 2: Calculate direct distance", + " Start → End: 8741.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9032.5 km", + "Step 4: Calculate detour", + " Detour = 9032.5 - 8741.8 = 290.8 km", + " Detour % = (290.8 / 8741.8) × 100 = 3.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 3.3% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -25.41667, + "lon": 25.55, + "name": "Janeng" + }, + "end": { + "lat": 51.83167, + "lon": 4.6875, + "name": "Papendrecht" + }, + "waypoint": { + "lat": -44.39672, + "lon": 171.25364, + "name": "Timaru" + }, + "question": "Is Timaru approximately on the direct path from Janeng to Papendrecht?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8827.7, + "via_waypoint_km": 30228.1, + "detour_km": 21400.4, + "detour_percent": 242.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Janeng", + " End: Papendrecht", + " Waypoint: Timaru", + "Step 2: Calculate direct distance", + " Start → End: 8827.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 30228.1 km", + "Step 4: Calculate detour", + " Detour = 30228.1 - 8827.7 = 21400.4 km", + " Detour % = (21400.4 / 8827.7) × 100 = 242.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 242.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 16.8632, + "lon": 120.7829, + "name": "Mankayan" + }, + "end": { + "lat": 21.20056, + "lon": 94.90827, + "name": "Nyaung-U" + }, + "waypoint": { + "lat": 46.51677, + "lon": -84.33325, + "name": "Sault Ste. Marie" + }, + "question": "Is Sault Ste. Marie approximately on the direct path from Mankayan to Nyaung-U?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2758.9, + "via_waypoint_km": 25015.8, + "detour_km": 22256.9, + "detour_percent": 806.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mankayan", + " End: Nyaung-U", + " Waypoint: Sault Ste. Marie", + "Step 2: Calculate direct distance", + " Start → End: 2758.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25015.8 km", + "Step 4: Calculate detour", + " Detour = 25015.8 - 2758.9 = 22256.9 km", + " Detour % = (22256.9 / 2758.9) × 100 = 806.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 806.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 41.68921, + "lon": 2.48965, + "name": "Sant Celoni" + }, + "end": { + "lat": 37.97806, + "lon": 76.86722, + "name": "Kaqun" + }, + "waypoint": { + "lat": -12.09514, + "lon": 26.42727, + "name": "Kansanshi" + }, + "question": "Is Kansanshi approximately on the direct path from Sant Celoni to Kaqun?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6160.6, + "via_waypoint_km": 14111.6, + "detour_km": 7951.0, + "detour_percent": 129.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sant Celoni", + " End: Kaqun", + " Waypoint: Kansanshi", + "Step 2: Calculate direct distance", + " Start → End: 6160.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14111.6 km", + "Step 4: Calculate detour", + " Detour = 14111.6 - 6160.6 = 7951.0 km", + " Detour % = (7951.0 / 6160.6) × 100 = 129.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 129.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 43.86638, + "lon": 10.34458, + "name": "Massarosa" + }, + "end": { + "lat": 54.92911, + "lon": 23.88599, + "name": "Šilainiai" + }, + "waypoint": { + "lat": 38.56528, + "lon": -9.04316, + "name": "Quinta Do Conde" + }, + "question": "Is Quinta Do Conde approximately on the direct path from Massarosa to Šilainiai?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1567.1, + "via_waypoint_km": 4774.2, + "detour_km": 3207.1, + "detour_percent": 204.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Massarosa", + " End: Šilainiai", + " Waypoint: Quinta Do Conde", + "Step 2: Calculate direct distance", + " Start → End: 1567.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 4774.2 km", + "Step 4: Calculate detour", + " Detour = 4774.2 - 1567.1 = 3207.1 km", + " Detour % = (3207.1 / 1567.1) × 100 = 204.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 204.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -2.00167, + "lon": -47.94972, + "name": "Concórdia do Pará" + }, + "end": { + "lat": -37.56622, + "lon": 143.84957, + "name": "Ballarat" + }, + "waypoint": { + "lat": 33.9938, + "lon": -117.75888, + "name": "Chino Hills" + }, + "question": "Is Chino Hills approximately on the direct path from Concórdia do Pará to Ballarat?", + "ground_truth": { + "answer": false, + "direct_distance_km": 15450.5, + "via_waypoint_km": 21176.5, + "detour_km": 5726.0, + "detour_percent": 37.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Concórdia do Pará", + " End: Ballarat", + " Waypoint: Chino Hills", + "Step 2: Calculate direct distance", + " Start → End: 15450.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21176.5 km", + "Step 4: Calculate detour", + " Detour = 21176.5 - 15450.5 = 5726.0 km", + " Detour % = (5726.0 / 15450.5) × 100 = 37.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 37.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 11.49333, + "lon": 78.03119, + "name": "Mallasamudram" + }, + "end": { + "lat": 39.12074, + "lon": 27.18052, + "name": "Bergama" + }, + "waypoint": { + "lat": 43.61211, + "lon": -116.39151, + "name": "Meridian" + }, + "question": "Is Meridian approximately on the direct path from Mallasamudram to Bergama?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5862.2, + "via_waypoint_km": 23829.8, + "detour_km": 17967.5, + "detour_percent": 306.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mallasamudram", + " End: Bergama", + " Waypoint: Meridian", + "Step 2: Calculate direct distance", + " Start → End: 5862.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23829.8 km", + "Step 4: Calculate detour", + " Detour = 23829.8 - 5862.2 = 17967.5 km", + " Detour % = (17967.5 / 5862.2) × 100 = 306.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 306.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -37.94853, + "lon": 145.15274, + "name": "Springvale" + }, + "end": { + "lat": -27.24179, + "lon": 27.57422, + "name": "Koppies" + }, + "waypoint": { + "lat": 5.7, + "lon": 101.83333, + "name": "Kampung Jeli" + }, + "question": "Is Kampung Jeli approximately on the direct path from Springvale to Koppies?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10282.2, + "via_waypoint_km": 15359.5, + "detour_km": 5077.4, + "detour_percent": 49.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Springvale", + " End: Koppies", + " Waypoint: Kampung Jeli", + "Step 2: Calculate direct distance", + " Start → End: 10282.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15359.5 km", + "Step 4: Calculate detour", + " Detour = 15359.5 - 10282.2 = 5077.4 km", + " Detour % = (5077.4 / 10282.2) × 100 = 49.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 49.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -24.56694, + "lon": 25.87417, + "name": "Mmopone" + }, + "end": { + "lat": 29.92009, + "lon": 73.87496, + "name": "Sri Ganganagar" + }, + "waypoint": { + "lat": 35.35014, + "lon": -80.20006, + "name": "Albemarle" + }, + "question": "Is Albemarle approximately on the direct path from Mmopone to Sri Ganganagar?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7931.9, + "via_waypoint_km": 25218.9, + "detour_km": 17287.1, + "detour_percent": 217.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mmopone", + " End: Sri Ganganagar", + " Waypoint: Albemarle", + "Step 2: Calculate direct distance", + " Start → End: 7931.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25218.9 km", + "Step 4: Calculate detour", + " Detour = 25218.9 - 7931.9 = 17287.1 km", + " Detour % = (17287.1 / 7931.9) × 100 = 217.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 217.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.42333, + "lon": 3.73472, + "name": "Borssele" + }, + "end": { + "lat": -15.90852, + "lon": -47.94053, + "name": "Park Way" + }, + "waypoint": { + "lat": 17.60833, + "lon": 120.63806, + "name": "Bangued" + }, + "question": "Is Bangued approximately on the direct path from Borssele to Park Way?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8999.4, + "via_waypoint_km": 28998.9, + "detour_km": 19999.5, + "detour_percent": 222.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Borssele", + " End: Park Way", + " Waypoint: Bangued", + "Step 2: Calculate direct distance", + " Start → End: 8999.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 28998.9 km", + "Step 4: Calculate detour", + " Detour = 28998.9 - 8999.4 = 19999.5 km", + " Detour % = (19999.5 / 8999.4) × 100 = 222.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 222.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -37.71667, + "lon": 145.0, + "name": "Reservoir" + }, + "end": { + "lat": 0.31628, + "lon": 32.58219, + "name": "Kampala" + }, + "waypoint": { + "lat": -13.53099, + "lon": 33.73933, + "name": "Mponela" + }, + "question": "Is Mponela approximately on the direct path from Reservoir to Kampala?", + "ground_truth": { + "answer": true, + "direct_distance_km": 11982.5, + "via_waypoint_km": 12420.1, + "detour_km": 437.6, + "detour_percent": 3.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Reservoir", + " End: Kampala", + " Waypoint: Mponela", + "Step 2: Calculate direct distance", + " Start → End: 11982.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12420.1 km", + "Step 4: Calculate detour", + " Detour = 12420.1 - 11982.5 = 437.6 km", + " Detour % = (437.6 / 11982.5) × 100 = 3.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 3.7% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 32.94716, + "lon": 130.57446, + "name": "Tamana" + }, + "end": { + "lat": 35.61376, + "lon": 36.56449, + "name": "Kafranbel" + }, + "waypoint": { + "lat": 45.25145, + "lon": 38.12129, + "name": "Slavyansk-na-Kubani" + }, + "question": "Is Slavyansk-na-Kubani approximately on the direct path from Tamana to Kafranbel?", + "ground_truth": { + "answer": true, + "direct_distance_km": 8272.4, + "via_waypoint_km": 8734.4, + "detour_km": 462.0, + "detour_percent": 5.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tamana", + " End: Kafranbel", + " Waypoint: Slavyansk-na-Kubani", + "Step 2: Calculate direct distance", + " Start → End: 8272.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 8734.4 km", + "Step 4: Calculate detour", + " Detour = 8734.4 - 8272.4 = 462.0 km", + " Detour % = (462.0 / 8272.4) × 100 = 5.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 5.6% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 55.93924, + "lon": 92.37513, + "name": "Divnogorsk" + }, + "end": { + "lat": 40.4444, + "lon": 49.80566, + "name": "Bilajari" + }, + "waypoint": { + "lat": 40.40816, + "lon": -74.35432, + "name": "South Old Bridge" + }, + "question": "Is South Old Bridge approximately on the direct path from Divnogorsk to Bilajari?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3518.7, + "via_waypoint_km": 18629.3, + "detour_km": 15110.6, + "detour_percent": 429.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Divnogorsk", + " End: Bilajari", + " Waypoint: South Old Bridge", + "Step 2: Calculate direct distance", + " Start → End: 3518.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18629.3 km", + "Step 4: Calculate detour", + " Detour = 18629.3 - 3518.7 = 15110.6 km", + " Detour % = (15110.6 / 3518.7) × 100 = 429.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 429.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 23.88534, + "lon": 72.61869, + "name": "Kherālu" + }, + "end": { + "lat": -18.11094, + "lon": 178.40943, + "name": "Lami" + }, + "waypoint": { + "lat": 30.21035, + "lon": 31.36812, + "name": "Al Khānkah" + }, + "question": "Is Al Khānkah approximately on the direct path from Kherālu to Lami?", + "ground_truth": { + "answer": false, + "direct_distance_km": 12369.9, + "via_waypoint_km": 20550.3, + "detour_km": 8180.4, + "detour_percent": 66.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kherālu", + " End: Lami", + " Waypoint: Al Khānkah", + "Step 2: Calculate direct distance", + " Start → End: 12369.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20550.3 km", + "Step 4: Calculate detour", + " Detour = 20550.3 - 12369.9 = 8180.4 km", + " Detour % = (8180.4 / 12369.9) × 100 = 66.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 66.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 26.00281, + "lon": 92.85605, + "name": "Hojāi" + }, + "end": { + "lat": -5.006, + "lon": 119.5727, + "name": "Maros" + }, + "waypoint": { + "lat": 9.6, + "lon": 37.83333, + "name": "Kachīsī" + }, + "question": "Is Kachīsī approximately on the direct path from Hojāi to Maros?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4492.6, + "via_waypoint_km": 15255.8, + "detour_km": 10763.2, + "detour_percent": 239.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Hojāi", + " End: Maros", + " Waypoint: Kachīsī", + "Step 2: Calculate direct distance", + " Start → End: 4492.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15255.8 km", + "Step 4: Calculate detour", + " Detour = 15255.8 - 4492.6 = 10763.2 km", + " Detour % = (10763.2 / 4492.6) × 100 = 239.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 239.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -28.00274, + "lon": 153.42999, + "name": "Surfers Paradise" + }, + "end": { + "lat": 18.15514, + "lon": -94.39289, + "name": "Allende" + }, + "waypoint": { + "lat": 26.27944, + "lon": 50.20833, + "name": "Khobar" + }, + "question": "Is Khobar approximately on the direct path from Surfers Paradise to Allende?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13074.3, + "via_waypoint_km": 26320.6, + "detour_km": 13246.3, + "detour_percent": 101.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Surfers Paradise", + " End: Allende", + " Waypoint: Khobar", + "Step 2: Calculate direct distance", + " Start → End: 13074.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26320.6 km", + "Step 4: Calculate detour", + " Detour = 26320.6 - 13074.3 = 13246.3 km", + " Detour % = (13246.3 / 13074.3) × 100 = 101.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 101.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 39.49615, + "lon": -88.17615, + "name": "Charleston" + }, + "end": { + "lat": 38.44957, + "lon": -78.86892, + "name": "Harrisonburg" + }, + "waypoint": { + "lat": 35.67552, + "lon": 139.6666, + "name": "Sasazuka" + }, + "question": "Is Sasazuka approximately on the direct path from Charleston to Harrisonburg?", + "ground_truth": { + "answer": false, + "direct_distance_km": 812.6, + "via_waypoint_km": 21195.1, + "detour_km": 20382.5, + "detour_percent": 2508.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Charleston", + " End: Harrisonburg", + " Waypoint: Sasazuka", + "Step 2: Calculate direct distance", + " Start → End: 812.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21195.1 km", + "Step 4: Calculate detour", + " Detour = 21195.1 - 812.6 = 20382.5 km", + " Detour % = (20382.5 / 812.6) × 100 = 2508.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2508.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 22.89247, + "lon": 92.74218, + "name": "Lunglei" + }, + "end": { + "lat": 40.06595, + "lon": 44.43669, + "name": "Masis" + }, + "waypoint": { + "lat": -34.09345, + "lon": 21.25725, + "name": "Riversdale" + }, + "question": "Is Riversdale approximately on the direct path from Lunglei to Masis?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4892.5, + "via_waypoint_km": 18435.9, + "detour_km": 13543.3, + "detour_percent": 276.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Lunglei", + " End: Masis", + " Waypoint: Riversdale", + "Step 2: Calculate direct distance", + " Start → End: 4892.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18435.9 km", + "Step 4: Calculate detour", + " Detour = 18435.9 - 4892.5 = 13543.3 km", + " Detour % = (13543.3 / 4892.5) × 100 = 276.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 276.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -10.82294, + "lon": -42.72815, + "name": "Xique-Xique" + }, + "end": { + "lat": -18.8, + "lon": 47.48333, + "name": "Ivato" + }, + "waypoint": { + "lat": 19.33212, + "lon": -99.21118, + "name": "Magdalena Contreras" + }, + "question": "Is Magdalena Contreras approximately on the direct path from Xique-Xique to Ivato?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9643.7, + "via_waypoint_km": 23556.3, + "detour_km": 13912.6, + "detour_percent": 144.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Xique-Xique", + " End: Ivato", + " Waypoint: Magdalena Contreras", + "Step 2: Calculate direct distance", + " Start → End: 9643.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23556.3 km", + "Step 4: Calculate detour", + " Detour = 23556.3 - 9643.7 = 13912.6 km", + " Detour % = (13912.6 / 9643.7) × 100 = 144.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 144.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 31.86667, + "lon": 35.45, + "name": "Jericho" + }, + "end": { + "lat": 22.92616, + "lon": -82.68687, + "name": "Guanajay" + }, + "waypoint": { + "lat": -12.05222, + "lon": -63.5675, + "name": "São Francisco do Guaporé" + }, + "question": "Is São Francisco do Guaporé approximately on the direct path from Jericho to Guanajay?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11052.0, + "via_waypoint_km": 15966.0, + "detour_km": 4914.0, + "detour_percent": 44.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Jericho", + " End: Guanajay", + " Waypoint: São Francisco do Guaporé", + "Step 2: Calculate direct distance", + " Start → End: 11052.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15966.0 km", + "Step 4: Calculate detour", + " Detour = 15966.0 - 11052.0 = 4914.0 km", + " Detour % = (4914.0 / 11052.0) × 100 = 44.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 44.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 34.68505, + "lon": 135.80485, + "name": "Nara-shi" + }, + "end": { + "lat": 51.53131, + "lon": 20.00855, + "name": "Tomaszów Mazowiecki" + }, + "waypoint": { + "lat": 43.72849, + "lon": -79.31487, + "name": "Victoria Village" + }, + "question": "Is Victoria Village approximately on the direct path from Nara-shi to Tomaszów Mazowiecki?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8575.1, + "via_waypoint_km": 17500.8, + "detour_km": 8925.6, + "detour_percent": 104.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Nara-shi", + " End: Tomaszów Mazowiecki", + " Waypoint: Victoria Village", + "Step 2: Calculate direct distance", + " Start → End: 8575.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17500.8 km", + "Step 4: Calculate detour", + " Detour = 17500.8 - 8575.1 = 8925.6 km", + " Detour % = (8925.6 / 8575.1) × 100 = 104.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 104.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.08333, + "lon": 140.11667, + "name": "Tsukuba" + }, + "end": { + "lat": 19.37766, + "lon": -70.41719, + "name": "Salcedo" + }, + "waypoint": { + "lat": 41.31649, + "lon": -73.09316, + "name": "Shelton" + }, + "question": "Is Shelton approximately on the direct path from Tsukuba to Salcedo?", + "ground_truth": { + "answer": true, + "direct_distance_km": 13061.8, + "via_waypoint_km": 13220.2, + "detour_km": 158.4, + "detour_percent": 1.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tsukuba", + " End: Salcedo", + " Waypoint: Shelton", + "Step 2: Calculate direct distance", + " Start → End: 13061.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13220.2 km", + "Step 4: Calculate detour", + " Detour = 13220.2 - 13061.8 = 158.4 km", + " Detour % = (158.4 / 13061.8) × 100 = 1.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1.2% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 3.80315, + "lon": 42.54417, + "name": "Luuq" + }, + "end": { + "lat": -15.48211, + "lon": 28.35099, + "name": "Chisankane" + }, + "waypoint": { + "lat": 9.8857, + "lon": 76.37328, + "name": "Manakunnam" + }, + "question": "Is Manakunnam approximately on the direct path from Luuq to Chisankane?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2653.2, + "via_waypoint_km": 9786.6, + "detour_km": 7133.4, + "detour_percent": 268.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Luuq", + " End: Chisankane", + " Waypoint: Manakunnam", + "Step 2: Calculate direct distance", + " Start → End: 2653.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9786.6 km", + "Step 4: Calculate detour", + " Detour = 9786.6 - 2653.2 = 7133.4 km", + " Detour % = (7133.4 / 2653.2) × 100 = 268.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 268.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 28.81082, + "lon": -81.87786, + "name": "Leesburg" + }, + "end": { + "lat": 1.39944, + "lon": 103.90278, + "name": "Matilda Estate" + }, + "waypoint": { + "lat": -2.53806, + "lon": 14.7541, + "name": "Djambala" + }, + "question": "Is Djambala approximately on the direct path from Leesburg to Matilda Estate?", + "ground_truth": { + "answer": false, + "direct_distance_km": 16599.9, + "via_waypoint_km": 20709.4, + "detour_km": 4109.6, + "detour_percent": 24.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Leesburg", + " End: Matilda Estate", + " Waypoint: Djambala", + "Step 2: Calculate direct distance", + " Start → End: 16599.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20709.4 km", + "Step 4: Calculate detour", + " Detour = 20709.4 - 16599.9 = 4109.6 km", + " Detour % = (4109.6 / 16599.9) × 100 = 24.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 24.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 25.76232, + "lon": -80.31616, + "name": "Flagami" + }, + "end": { + "lat": -17.35, + "lon": 49.03333, + "name": "Vohibinany" + }, + "waypoint": { + "lat": 18.25435, + "lon": 109.50947, + "name": "Sanya" + }, + "question": "Is Sanya approximately on the direct path from Flagami to Vohibinany?", + "ground_truth": { + "answer": false, + "direct_distance_km": 14725.3, + "via_waypoint_km": 22713.8, + "detour_km": 7988.5, + "detour_percent": 54.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Flagami", + " End: Vohibinany", + " Waypoint: Sanya", + "Step 2: Calculate direct distance", + " Start → End: 14725.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22713.8 km", + "Step 4: Calculate detour", + " Detour = 22713.8 - 14725.3 = 7988.5 km", + " Detour % = (7988.5 / 14725.3) × 100 = 54.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 54.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 10.4952, + "lon": -75.12448, + "name": "Repelón" + }, + "end": { + "lat": 53.1585, + "lon": 48.4681, + "name": "Syzran" + }, + "waypoint": { + "lat": 37.52487, + "lon": -77.55777, + "name": "Bon Air" + }, + "question": "Is Bon Air approximately on the direct path from Repelón to Syzran?", + "ground_truth": { + "answer": true, + "direct_distance_km": 11163.4, + "via_waypoint_km": 11689.5, + "detour_km": 526.1, + "detour_percent": 4.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Repelón", + " End: Syzran", + " Waypoint: Bon Air", + "Step 2: Calculate direct distance", + " Start → End: 11163.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11689.5 km", + "Step 4: Calculate detour", + " Detour = 11689.5 - 11163.4 = 526.1 km", + " Detour % = (526.1 / 11163.4) × 100 = 4.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 4.7% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 38.38554, + "lon": 90.15553, + "name": "Mangnai Zhen" + }, + "end": { + "lat": 5.47775, + "lon": 10.41759, + "name": "Bafoussam" + }, + "waypoint": { + "lat": 43.38278, + "lon": 42.91833, + "name": "Tyrnyauz" + }, + "question": "Is Tyrnyauz approximately on the direct path from Mangnai Zhen to Bafoussam?", + "ground_truth": { + "answer": true, + "direct_distance_km": 8735.9, + "via_waypoint_km": 9236.9, + "detour_km": 501.0, + "detour_percent": 5.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mangnai Zhen", + " End: Bafoussam", + " Waypoint: Tyrnyauz", + "Step 2: Calculate direct distance", + " Start → End: 8735.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9236.9 km", + "Step 4: Calculate detour", + " Detour = 9236.9 - 8735.9 = 501.0 km", + " Detour % = (501.0 / 8735.9) × 100 = 5.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 5.7% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -20.26889, + "lon": -50.54583, + "name": "Jales" + }, + "end": { + "lat": 53.25417, + "lon": 83.69361, + "name": "Yuzhnyy" + }, + "waypoint": { + "lat": 50.63333, + "lon": 7.1, + "name": "Wachtberg" + }, + "question": "Is Wachtberg approximately on the direct path from Jales to Yuzhnyy?", + "ground_truth": { + "answer": true, + "direct_distance_km": 14677.7, + "via_waypoint_km": 14685.6, + "detour_km": 7.9, + "detour_percent": 0.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Jales", + " End: Yuzhnyy", + " Waypoint: Wachtberg", + "Step 2: Calculate direct distance", + " Start → End: 14677.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14685.6 km", + "Step 4: Calculate detour", + " Detour = 14685.6 - 14677.7 = 7.9 km", + " Detour % = (7.9 / 14677.7) × 100 = 0.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.1% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 33.22901, + "lon": -87.57723, + "name": "Northport" + }, + "end": { + "lat": 25.21954, + "lon": 74.26028, + "name": "Gangāpur" + }, + "waypoint": { + "lat": -34.18551, + "lon": 142.16251, + "name": "Mildura" + }, + "question": "Is Mildura approximately on the direct path from Northport to Gangāpur?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13237.7, + "via_waypoint_km": 25198.9, + "detour_km": 11961.2, + "detour_percent": 90.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Northport", + " End: Gangāpur", + " Waypoint: Mildura", + "Step 2: Calculate direct distance", + " Start → End: 13237.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25198.9 km", + "Step 4: Calculate detour", + " Detour = 25198.9 - 13237.7 = 11961.2 km", + " Detour % = (11961.2 / 13237.7) × 100 = 90.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 90.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 39.1425, + "lon": 126.09611, + "name": "Kangdong-ŭp" + }, + "end": { + "lat": 47.65983, + "lon": 33.71952, + "name": "Apostolove" + }, + "waypoint": { + "lat": 6.99536, + "lon": 0.29306, + "name": "Kpandu" + }, + "question": "Is Kpandu approximately on the direct path from Kangdong-ŭp to Apostolove?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7069.9, + "via_waypoint_km": 17962.5, + "detour_km": 10892.7, + "detour_percent": 154.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kangdong-ŭp", + " End: Apostolove", + " Waypoint: Kpandu", + "Step 2: Calculate direct distance", + " Start → End: 7069.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17962.5 km", + "Step 4: Calculate detour", + " Detour = 17962.5 - 7069.9 = 10892.7 km", + " Detour % = (10892.7 / 7069.9) × 100 = 154.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 154.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -37.70988, + "lon": 144.75483, + "name": "Taylors Hill" + }, + "end": { + "lat": 32.76272, + "lon": 21.75506, + "name": "Al Bayḑā’" + }, + "waypoint": { + "lat": 50.87441, + "lon": 4.39905, + "name": "Evere" + }, + "question": "Is Evere approximately on the direct path from Taylors Hill to Al Bayḑā’?", + "ground_truth": { + "answer": false, + "direct_distance_km": 14888.4, + "via_waypoint_km": 19051.1, + "detour_km": 4162.7, + "detour_percent": 28.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Taylors Hill", + " End: Al Bayḑā’", + " Waypoint: Evere", + "Step 2: Calculate direct distance", + " Start → End: 14888.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19051.1 km", + "Step 4: Calculate detour", + " Detour = 19051.1 - 14888.4 = 4162.7 km", + " Detour % = (4162.7 / 14888.4) × 100 = 28.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 28.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 35.16667, + "lon": 136.2, + "name": "Echigawa" + }, + "end": { + "lat": 28.3091, + "lon": 70.12652, + "name": "Saddiqabad" + }, + "waypoint": { + "lat": 53.73953, + "lon": 78.04387, + "name": "Karasuk" + }, + "question": "Is Karasuk approximately on the direct path from Echigawa to Saddiqabad?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6182.0, + "via_waypoint_km": 7791.5, + "detour_km": 1609.5, + "detour_percent": 26.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Echigawa", + " End: Saddiqabad", + " Waypoint: Karasuk", + "Step 2: Calculate direct distance", + " Start → End: 6182.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 7791.5 km", + "Step 4: Calculate detour", + " Detour = 7791.5 - 6182.0 = 1609.5 km", + " Detour % = (1609.5 / 6182.0) × 100 = 26.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 26.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 15.85851, + "lon": 104.62883, + "name": "Amnat Charoen" + }, + "end": { + "lat": -23.99306, + "lon": -46.25639, + "name": "Guarujá" + }, + "waypoint": { + "lat": 43.33941, + "lon": 12.90327, + "name": "Fabriano" + }, + "question": "Is Fabriano approximately on the direct path from Amnat Charoen to Guarujá?", + "ground_truth": { + "answer": false, + "direct_distance_km": 16847.1, + "via_waypoint_km": 18557.1, + "detour_km": 1710.0, + "detour_percent": 10.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Amnat Charoen", + " End: Guarujá", + " Waypoint: Fabriano", + "Step 2: Calculate direct distance", + " Start → End: 16847.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18557.1 km", + "Step 4: Calculate detour", + " Detour = 18557.1 - 16847.1 = 1710.0 km", + " Detour % = (1710.0 / 16847.1) × 100 = 10.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 10.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 3.17301, + "lon": -76.26275, + "name": "Corinto" + }, + "end": { + "lat": 52.27042, + "lon": -9.70264, + "name": "Tralee" + }, + "waypoint": { + "lat": 38.73174, + "lon": -82.99767, + "name": "Portsmouth" + }, + "question": "Is Portsmouth approximately on the direct path from Corinto to Tralee?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8154.2, + "via_waypoint_km": 9660.9, + "detour_km": 1506.7, + "detour_percent": 18.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Corinto", + " End: Tralee", + " Waypoint: Portsmouth", + "Step 2: Calculate direct distance", + " Start → End: 8154.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9660.9 km", + "Step 4: Calculate detour", + " Detour = 9660.9 - 8154.2 = 1506.7 km", + " Detour % = (1506.7 / 8154.2) × 100 = 18.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 18.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -27.19354, + "lon": 153.02631, + "name": "Deception Bay" + }, + "end": { + "lat": 19.43332, + "lon": -99.19919, + "name": "Polanco" + }, + "waypoint": { + "lat": 33.74698, + "lon": 73.51229, + "name": "Kamra" + }, + "question": "Is Kamra approximately on the direct path from Deception Bay to Polanco?", + "ground_truth": { + "answer": false, + "direct_distance_km": 12685.8, + "via_waypoint_km": 24820.7, + "detour_km": 12134.9, + "detour_percent": 95.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Deception Bay", + " End: Polanco", + " Waypoint: Kamra", + "Step 2: Calculate direct distance", + " Start → End: 12685.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24820.7 km", + "Step 4: Calculate detour", + " Detour = 24820.7 - 12685.8 = 12134.9 km", + " Detour % = (12134.9 / 12685.8) × 100 = 95.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 95.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 28.21154, + "lon": -16.77947, + "name": "Guía de Isora" + }, + "end": { + "lat": 35.29235, + "lon": -81.53565, + "name": "Shelby" + }, + "waypoint": { + "lat": 19.10267, + "lon": 108.66565, + "name": "Basuo" + }, + "question": "Is Basuo approximately on the direct path from Guía de Isora to Shelby?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6066.7, + "via_waypoint_km": 26009.5, + "detour_km": 19942.8, + "detour_percent": 328.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Guía de Isora", + " End: Shelby", + " Waypoint: Basuo", + "Step 2: Calculate direct distance", + " Start → End: 6066.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26009.5 km", + "Step 4: Calculate detour", + " Detour = 26009.5 - 6066.7 = 19942.8 km", + " Detour % = (19942.8 / 6066.7) × 100 = 328.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 328.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 35.60855, + "lon": 138.46473, + "name": "Minamiarupusu" + }, + "end": { + "lat": 36.57413, + "lon": 2.91214, + "name": "Boufarik" + }, + "waypoint": { + "lat": 51.41387, + "lon": -2.4978, + "name": "Keynsham" + }, + "question": "Is Keynsham approximately on the direct path from Minamiarupusu to Boufarik?", + "ground_truth": { + "answer": true, + "direct_distance_km": 10768.6, + "via_waypoint_km": 11321.7, + "detour_km": 553.1, + "detour_percent": 5.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Minamiarupusu", + " End: Boufarik", + " Waypoint: Keynsham", + "Step 2: Calculate direct distance", + " Start → End: 10768.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11321.7 km", + "Step 4: Calculate detour", + " Detour = 11321.7 - 10768.6 = 553.1 km", + " Detour % = (553.1 / 10768.6) × 100 = 5.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 5.1% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -11.01026, + "lon": -66.05257, + "name": "Riberalta" + }, + "end": { + "lat": 3.12945, + "lon": 101.67004, + "name": "Bangsar" + }, + "waypoint": { + "lat": 18.13909, + "lon": -94.14527, + "name": "Agua Dulce" + }, + "question": "Is Agua Dulce approximately on the direct path from Riberalta to Bangsar?", + "ground_truth": { + "answer": false, + "direct_distance_km": 18402.6, + "via_waypoint_km": 21556.6, + "detour_km": 3154.1, + "detour_percent": 17.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Riberalta", + " End: Bangsar", + " Waypoint: Agua Dulce", + "Step 2: Calculate direct distance", + " Start → End: 18402.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21556.6 km", + "Step 4: Calculate detour", + " Detour = 21556.6 - 18402.6 = 3154.1 km", + " Detour % = (3154.1 / 18402.6) × 100 = 17.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 17.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 22.27194, + "lon": -101.98602, + "name": "Loreto" + }, + "end": { + "lat": 32.95457, + "lon": -97.01501, + "name": "Coppell" + }, + "waypoint": { + "lat": 11.52941, + "lon": -2.76797, + "name": "Fara Department" + }, + "question": "Is Fara Department approximately on the direct path from Loreto to Coppell?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1284.4, + "via_waypoint_km": 20153.3, + "detour_km": 18869.0, + "detour_percent": 1469.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Loreto", + " End: Coppell", + " Waypoint: Fara Department", + "Step 2: Calculate direct distance", + " Start → End: 1284.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20153.3 km", + "Step 4: Calculate detour", + " Detour = 20153.3 - 1284.4 = 18869.0 km", + " Detour % = (18869.0 / 1284.4) × 100 = 1469.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1469.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 39.20762, + "lon": 46.40678, + "name": "Kapan" + }, + "end": { + "lat": -38.38176, + "lon": 142.48799, + "name": "Warrnambool" + }, + "waypoint": { + "lat": 52.10461, + "lon": 4.27557, + "name": "Scheveningen" + }, + "question": "Is Scheveningen approximately on the direct path from Kapan to Warrnambool?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13030.2, + "via_waypoint_km": 19980.9, + "detour_km": 6950.8, + "detour_percent": 53.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kapan", + " End: Warrnambool", + " Waypoint: Scheveningen", + "Step 2: Calculate direct distance", + " Start → End: 13030.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19980.9 km", + "Step 4: Calculate detour", + " Detour = 19980.9 - 13030.2 = 6950.8 km", + " Detour % = (6950.8 / 13030.2) × 100 = 53.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 53.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 26.20341, + "lon": -98.23001, + "name": "McAllen" + }, + "end": { + "lat": 31.29421, + "lon": 75.61974, + "name": "Jalandhar Cantonment" + }, + "waypoint": { + "lat": -0.6985, + "lon": -80.0925, + "name": "Chone" + }, + "question": "Is Chone approximately on the direct path from McAllen to Jalandhar Cantonment?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13588.4, + "via_waypoint_km": 19328.6, + "detour_km": 5740.2, + "detour_percent": 42.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: McAllen", + " End: Jalandhar Cantonment", + " Waypoint: Chone", + "Step 2: Calculate direct distance", + " Start → End: 13588.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19328.6 km", + "Step 4: Calculate detour", + " Detour = 19328.6 - 13588.4 = 5740.2 km", + " Detour % = (5740.2 / 13588.4) × 100 = 42.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 42.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -37.8329, + "lon": 145.0367, + "name": "Hawthorn South" + }, + "end": { + "lat": -29.86139, + "lon": -51.17917, + "name": "Esteio" + }, + "waypoint": { + "lat": 21.30328, + "lon": 70.24861, + "name": "Keshod" + }, + "question": "Is Keshod approximately on the direct path from Hawthorn South to Esteio?", + "ground_truth": { + "answer": false, + "direct_distance_km": 12301.3, + "via_waypoint_km": 24321.9, + "detour_km": 12020.6, + "detour_percent": 97.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Hawthorn South", + " End: Esteio", + " Waypoint: Keshod", + "Step 2: Calculate direct distance", + " Start → End: 12301.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24321.9 km", + "Step 4: Calculate detour", + " Detour = 24321.9 - 12301.3 = 12020.6 km", + " Detour % = (12020.6 / 12301.3) × 100 = 97.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 97.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -7.43861, + "lon": -34.91444, + "name": "Alhandra" + }, + "end": { + "lat": 30.47028, + "lon": -8.87695, + "name": "Taroudant" + }, + "waypoint": { + "lat": 27.29393, + "lon": -80.35033, + "name": "Port Saint Lucie" + }, + "question": "Is Port Saint Lucie approximately on the direct path from Alhandra to Taroudant?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5047.4, + "via_waypoint_km": 13076.2, + "detour_km": 8028.8, + "detour_percent": 159.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Alhandra", + " End: Taroudant", + " Waypoint: Port Saint Lucie", + "Step 2: Calculate direct distance", + " Start → End: 5047.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13076.2 km", + "Step 4: Calculate detour", + " Detour = 13076.2 - 5047.4 = 8028.8 km", + " Detour % = (8028.8 / 5047.4) × 100 = 159.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 159.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -11.02671, + "lon": -68.76918, + "name": "Cobija" + }, + "end": { + "lat": -14.87959, + "lon": 47.98751, + "name": "Antsohihy" + }, + "waypoint": { + "lat": -25.43321, + "lon": 31.95478, + "name": "Komatipoort" + }, + "question": "Is Komatipoort approximately on the direct path from Cobija to Antsohihy?", + "ground_truth": { + "answer": true, + "direct_distance_km": 12476.9, + "via_waypoint_km": 12576.4, + "detour_km": 99.5, + "detour_percent": 0.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Cobija", + " End: Antsohihy", + " Waypoint: Komatipoort", + "Step 2: Calculate direct distance", + " Start → End: 12476.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12576.4 km", + "Step 4: Calculate detour", + " Detour = 12576.4 - 12476.9 = 99.5 km", + " Detour % = (99.5 / 12476.9) × 100 = 0.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.8% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 10.91667, + "lon": 79.83333, + "name": "Kāraikāl" + }, + "end": { + "lat": 38.36309, + "lon": 77.23151, + "name": "Tuomuwusitang" + }, + "waypoint": { + "lat": -38.7176, + "lon": -62.26545, + "name": "Bahía Blanca" + }, + "question": "Is Bahía Blanca approximately on the direct path from Kāraikāl to Tuomuwusitang?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3062.9, + "via_waypoint_km": 31677.4, + "detour_km": 28614.6, + "detour_percent": 934.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kāraikāl", + " End: Tuomuwusitang", + " Waypoint: Bahía Blanca", + "Step 2: Calculate direct distance", + " Start → End: 3062.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 31677.4 km", + "Step 4: Calculate detour", + " Detour = 31677.4 - 3062.9 = 28614.6 km", + " Detour % = (28614.6 / 3062.9) × 100 = 934.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 934.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 6.86, + "lon": 37.76159, + "name": "Sodo" + }, + "end": { + "lat": 23.24723, + "lon": 88.43302, + "name": "Shāntipur" + }, + "waypoint": { + "lat": 18.61472, + "lon": -99.31806, + "name": "Puente de Ixtla" + }, + "question": "Is Puente de Ixtla approximately on the direct path from Sodo to Shāntipur?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5703.9, + "via_waypoint_km": 29807.9, + "detour_km": 24103.9, + "detour_percent": 422.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sodo", + " End: Shāntipur", + " Waypoint: Puente de Ixtla", + "Step 2: Calculate direct distance", + " Start → End: 5703.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 29807.9 km", + "Step 4: Calculate detour", + " Detour = 29807.9 - 5703.9 = 24103.9 km", + " Detour % = (24103.9 / 5703.9) × 100 = 422.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 422.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -0.68174, + "lon": 34.76666, + "name": "Kisii" + }, + "end": { + "lat": 39.43997, + "lon": -76.61099, + "name": "Lutherville-Timonium" + }, + "waypoint": { + "lat": 25.66472, + "lon": 76.69616, + "name": "Sheopur" + }, + "question": "Is Sheopur approximately on the direct path from Kisii to Lutherville-Timonium?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11875.7, + "via_waypoint_km": 17633.2, + "detour_km": 5757.5, + "detour_percent": 48.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kisii", + " End: Lutherville-Timonium", + " Waypoint: Sheopur", + "Step 2: Calculate direct distance", + " Start → End: 11875.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17633.2 km", + "Step 4: Calculate detour", + " Detour = 17633.2 - 11875.7 = 5757.5 km", + " Detour % = (5757.5 / 11875.7) × 100 = 48.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 48.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 7.01667, + "lon": 39.98333, + "name": "Goba" + }, + "end": { + "lat": -3.20333, + "lon": -52.20639, + "name": "Altamira" + }, + "waypoint": { + "lat": 27.99814, + "lon": 81.08975, + "name": "Dhaurahra" + }, + "question": "Is Dhaurahra approximately on the direct path from Goba to Altamira?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10292.4, + "via_waypoint_km": 19264.1, + "detour_km": 8971.8, + "detour_percent": 87.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Goba", + " End: Altamira", + " Waypoint: Dhaurahra", + "Step 2: Calculate direct distance", + " Start → End: 10292.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19264.1 km", + "Step 4: Calculate detour", + " Detour = 19264.1 - 10292.4 = 8971.8 km", + " Detour % = (8971.8 / 10292.4) × 100 = 87.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 87.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 26.25902, + "lon": 127.73012, + "name": "Urasoe" + }, + "end": { + "lat": 42.37093, + "lon": -71.18283, + "name": "Watertown" + }, + "waypoint": { + "lat": -27.66606, + "lon": 28.13132, + "name": "Mamafubedu" + }, + "question": "Is Mamafubedu approximately on the direct path from Urasoe to Watertown?", + "ground_truth": { + "answer": false, + "direct_distance_km": 12140.8, + "via_waypoint_km": 24964.1, + "detour_km": 12823.2, + "detour_percent": 105.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Urasoe", + " End: Watertown", + " Waypoint: Mamafubedu", + "Step 2: Calculate direct distance", + " Start → End: 12140.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24964.1 km", + "Step 4: Calculate detour", + " Detour = 24964.1 - 12140.8 = 12823.2 km", + " Detour % = (12823.2 / 12140.8) × 100 = 105.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 105.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -20.08667, + "lon": -51.09361, + "name": "Aparecida do Taboado" + }, + "end": { + "lat": -4.57194, + "lon": -44.62083, + "name": "Trizidela do Vale" + }, + "waypoint": { + "lat": -7.65194, + "lon": -40.14889, + "name": "Ipubi" + }, + "question": "Is Ipubi approximately on the direct path from Aparecida do Taboado to Trizidela do Vale?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1862.0, + "via_waypoint_km": 2418.3, + "detour_km": 556.3, + "detour_percent": 29.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Aparecida do Taboado", + " End: Trizidela do Vale", + " Waypoint: Ipubi", + "Step 2: Calculate direct distance", + " Start → End: 1862.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 2418.3 km", + "Step 4: Calculate detour", + " Detour = 2418.3 - 1862.0 = 556.3 km", + " Detour % = (556.3 / 1862.0) × 100 = 29.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 29.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 12.00012, + "lon": 8.51672, + "name": "Kano" + }, + "end": { + "lat": 51.38442, + "lon": 4.47556, + "name": "Kalmthout" + }, + "waypoint": { + "lat": 16.31281, + "lon": -91.98224, + "name": "Las Margaritas" + }, + "question": "Is Las Margaritas approximately on the direct path from Kano to Kalmthout?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4394.6, + "via_waypoint_km": 19761.6, + "detour_km": 15367.0, + "detour_percent": 349.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kano", + " End: Kalmthout", + " Waypoint: Las Margaritas", + "Step 2: Calculate direct distance", + " Start → End: 4394.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19761.6 km", + "Step 4: Calculate detour", + " Detour = 19761.6 - 4394.6 = 15367.0 km", + " Detour % = (15367.0 / 4394.6) × 100 = 349.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 349.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -6.47806, + "lon": -35.43389, + "name": "Nova Cruz" + }, + "end": { + "lat": -39.28223, + "lon": -71.95427, + "name": "Pucón" + }, + "waypoint": { + "lat": 60.0122, + "lon": 30.20897, + "name": "Untolovo" + }, + "question": "Is Untolovo approximately on the direct path from Nova Cruz to Pucón?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5160.4, + "via_waypoint_km": 23672.8, + "detour_km": 18512.4, + "detour_percent": 358.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Nova Cruz", + " End: Pucón", + " Waypoint: Untolovo", + "Step 2: Calculate direct distance", + " Start → End: 5160.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23672.8 km", + "Step 4: Calculate detour", + " Detour = 23672.8 - 5160.4 = 18512.4 km", + " Detour % = (18512.4 / 5160.4) × 100 = 358.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 358.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.85862, + "lon": -8.62513, + "name": "Ovar" + }, + "end": { + "lat": 9.7174, + "lon": -75.12023, + "name": "El Carmen de Bolívar" + }, + "waypoint": { + "lat": 6.4, + "lon": 2.06667, + "name": "Kouandé" + }, + "question": "Is Kouandé approximately on the direct path from Ovar to El Carmen de Bolívar?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7331.9, + "via_waypoint_km": 12465.6, + "detour_km": 5133.7, + "detour_percent": 70.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ovar", + " End: El Carmen de Bolívar", + " Waypoint: Kouandé", + "Step 2: Calculate direct distance", + " Start → End: 7331.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12465.6 km", + "Step 4: Calculate detour", + " Detour = 12465.6 - 7331.9 = 5133.7 km", + " Detour % = (5133.7 / 7331.9) × 100 = 70.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 70.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 50.8, + "lon": 3.16667, + "name": "Wevelgem" + }, + "end": { + "lat": 54.1522, + "lon": 19.40884, + "name": "Elbląg" + }, + "waypoint": { + "lat": 27.81193, + "lon": 66.61096, + "name": "Khuzdar" + }, + "question": "Is Khuzdar approximately on the direct path from Wevelgem to Elbląg?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1158.4, + "via_waypoint_km": 10608.8, + "detour_km": 9450.4, + "detour_percent": 815.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Wevelgem", + " End: Elbląg", + " Waypoint: Khuzdar", + "Step 2: Calculate direct distance", + " Start → End: 1158.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10608.8 km", + "Step 4: Calculate detour", + " Detour = 10608.8 - 1158.4 = 9450.4 km", + " Detour % = (9450.4 / 1158.4) × 100 = 815.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 815.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 55.36352, + "lon": 37.52984, + "name": "Klimovsk" + }, + "end": { + "lat": 43.11992, + "lon": 133.12316, + "name": "Partizansk" + }, + "waypoint": { + "lat": 4.74851, + "lon": -6.6363, + "name": "San-Pédro" + }, + "question": "Is San-Pédro approximately on the direct path from Klimovsk to Partizansk?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6509.0, + "via_waypoint_km": 20192.1, + "detour_km": 13683.1, + "detour_percent": 210.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Klimovsk", + " End: Partizansk", + " Waypoint: San-Pédro", + "Step 2: Calculate direct distance", + " Start → End: 6509.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20192.1 km", + "Step 4: Calculate detour", + " Detour = 20192.1 - 6509.0 = 13683.1 km", + " Detour % = (13683.1 / 6509.0) × 100 = 210.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 210.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 44.4583, + "lon": -93.1616, + "name": "Northfield" + }, + "end": { + "lat": -12.23333, + "lon": -38.75, + "name": "Coração de Maria" + }, + "waypoint": { + "lat": 31.18874, + "lon": 75.99495, + "name": "Banga" + }, + "question": "Is Banga approximately on the direct path from Northfield to Coração de Maria?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8348.1, + "via_waypoint_km": 24582.5, + "detour_km": 16234.4, + "detour_percent": 194.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Northfield", + " End: Coração de Maria", + " Waypoint: Banga", + "Step 2: Calculate direct distance", + " Start → End: 8348.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24582.5 km", + "Step 4: Calculate detour", + " Detour = 24582.5 - 8348.1 = 16234.4 km", + " Detour % = (16234.4 / 8348.1) × 100 = 194.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 194.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -1.1136, + "lon": 36.64205, + "name": "Limuru" + }, + "end": { + "lat": 6.38309, + "lon": -5.41759, + "name": "Oumé" + }, + "waypoint": { + "lat": -22.88333, + "lon": -43.10361, + "name": "Niterói" + }, + "question": "Is Niterói approximately on the direct path from Limuru to Oumé?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4742.1, + "via_waypoint_km": 14141.2, + "detour_km": 9399.1, + "detour_percent": 198.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Limuru", + " End: Oumé", + " Waypoint: Niterói", + "Step 2: Calculate direct distance", + " Start → End: 4742.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14141.2 km", + "Step 4: Calculate detour", + " Detour = 14141.2 - 4742.1 = 9399.1 km", + " Detour % = (9399.1 / 4742.1) × 100 = 198.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 198.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 35.48942, + "lon": -120.67073, + "name": "Atascadero" + }, + "end": { + "lat": 40.74255, + "lon": -84.10523, + "name": "Lima" + }, + "waypoint": { + "lat": 7.16938, + "lon": 9.28465, + "name": "Katsina-Ala" + }, + "question": "Is Katsina-Ala approximately on the direct path from Atascadero to Lima?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3227.8, + "via_waypoint_km": 22727.0, + "detour_km": 19499.2, + "detour_percent": 604.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Atascadero", + " End: Lima", + " Waypoint: Katsina-Ala", + "Step 2: Calculate direct distance", + " Start → End: 3227.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22727.0 km", + "Step 4: Calculate detour", + " Detour = 22727.0 - 3227.8 = 19499.2 km", + " Detour % = (19499.2 / 3227.8) × 100 = 604.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 604.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -24.81811, + "lon": 27.29659, + "name": "Amandelbult" + }, + "end": { + "lat": 36.57722, + "lon": 3.00917, + "name": "Chebli" + }, + "waypoint": { + "lat": -5.84525, + "lon": 112.65173, + "name": "Sangkapura" + }, + "question": "Is Sangkapura approximately on the direct path from Amandelbult to Chebli?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7286.4, + "via_waypoint_km": 21412.7, + "detour_km": 14126.3, + "detour_percent": 193.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Amandelbult", + " End: Chebli", + " Waypoint: Sangkapura", + "Step 2: Calculate direct distance", + " Start → End: 7286.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21412.7 km", + "Step 4: Calculate detour", + " Detour = 21412.7 - 7286.4 = 14126.3 km", + " Detour % = (14126.3 / 7286.4) × 100 = 193.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 193.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 53.05962, + "lon": 60.64125, + "name": "Kartaly" + }, + "end": { + "lat": 51.48897, + "lon": -0.13699, + "name": "Pimlico" + }, + "waypoint": { + "lat": 30.16036, + "lon": 105.93403, + "name": "Shanghe" + }, + "question": "Is Shanghe approximately on the direct path from Kartaly to Pimlico?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4013.0, + "via_waypoint_km": 12873.7, + "detour_km": 8860.7, + "detour_percent": 220.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kartaly", + " End: Pimlico", + " Waypoint: Shanghe", + "Step 2: Calculate direct distance", + " Start → End: 4013.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12873.7 km", + "Step 4: Calculate detour", + " Detour = 12873.7 - 4013.0 = 8860.7 km", + " Detour % = (8860.7 / 4013.0) × 100 = 220.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 220.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 30.49238, + "lon": -9.6355, + "name": "Aourir" + }, + "end": { + "lat": 11.73017, + "lon": 15.24468, + "name": "Mandelia" + }, + "waypoint": { + "lat": 52.45861, + "lon": 44.21689, + "name": "Serdobsk" + }, + "question": "Is Serdobsk approximately on the direct path from Aourir to Mandelia?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3303.4, + "via_waypoint_km": 10175.1, + "detour_km": 6871.7, + "detour_percent": 208.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Aourir", + " End: Mandelia", + " Waypoint: Serdobsk", + "Step 2: Calculate direct distance", + " Start → End: 3303.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10175.1 km", + "Step 4: Calculate detour", + " Detour = 10175.1 - 3303.4 = 6871.7 km", + " Detour % = (6871.7 / 3303.4) × 100 = 208.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 208.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 48.23857, + "lon": 38.20403, + "name": "Yenakiieve" + }, + "end": { + "lat": 10.06522, + "lon": 105.55863, + "name": "Thới Lai" + }, + "waypoint": { + "lat": 27.16955, + "lon": 75.72226, + "name": "Chaumu" + }, + "question": "Is Chaumu approximately on the direct path from Yenakiieve to Thới Lai?", + "ground_truth": { + "answer": true, + "direct_distance_km": 7504.5, + "via_waypoint_km": 7643.8, + "detour_km": 139.3, + "detour_percent": 1.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Yenakiieve", + " End: Thới Lai", + " Waypoint: Chaumu", + "Step 2: Calculate direct distance", + " Start → End: 7504.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 7643.8 km", + "Step 4: Calculate detour", + " Detour = 7643.8 - 7504.5 = 139.3 km", + " Detour % = (139.3 / 7504.5) × 100 = 1.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1.9% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 50.06187, + "lon": 43.23335, + "name": "Mikhaylovka" + }, + "end": { + "lat": -8.21162, + "lon": 112.74934, + "name": "Dampit" + }, + "waypoint": { + "lat": 32.68333, + "lon": 130.66667, + "name": "Uto" + }, + "question": "Is Uto approximately on the direct path from Mikhaylovka to Dampit?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9287.1, + "via_waypoint_km": 12045.1, + "detour_km": 2757.9, + "detour_percent": 29.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mikhaylovka", + " End: Dampit", + " Waypoint: Uto", + "Step 2: Calculate direct distance", + " Start → End: 9287.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12045.1 km", + "Step 4: Calculate detour", + " Detour = 12045.1 - 9287.1 = 2757.9 km", + " Detour % = (2757.9 / 9287.1) × 100 = 29.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 29.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 38.5, + "lon": 106.41667, + "name": "Jingui" + }, + "end": { + "lat": 31.13202, + "lon": 110.09403, + "name": "Sanxi" + }, + "waypoint": { + "lat": 10.17389, + "lon": -67.54194, + "name": "Palo Negro" + }, + "question": "Is Palo Negro approximately on the direct path from Jingui to Sanxi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 885.2, + "via_waypoint_km": 29981.8, + "detour_km": 29096.6, + "detour_percent": 3287.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Jingui", + " End: Sanxi", + " Waypoint: Palo Negro", + "Step 2: Calculate direct distance", + " Start → End: 885.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 29981.8 km", + "Step 4: Calculate detour", + " Detour = 29981.8 - 885.2 = 29096.6 km", + " Detour % = (29096.6 / 885.2) × 100 = 3287.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 3287.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 13.98333, + "lon": -14.56667, + "name": "Koumpentoum" + }, + "end": { + "lat": -34.18307, + "lon": 22.14605, + "name": "Mossel Bay" + }, + "waypoint": { + "lat": 6.92477, + "lon": 158.16109, + "name": "Palikir" + }, + "question": "Is Palikir approximately on the direct path from Koumpentoum to Mossel Bay?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6614.6, + "via_waypoint_km": 32143.8, + "detour_km": 25529.2, + "detour_percent": 386.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Koumpentoum", + " End: Mossel Bay", + " Waypoint: Palikir", + "Step 2: Calculate direct distance", + " Start → End: 6614.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 32143.8 km", + "Step 4: Calculate detour", + " Detour = 32143.8 - 6614.6 = 25529.2 km", + " Detour % = (25529.2 / 6614.6) × 100 = 386.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 386.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 32.92186, + "lon": 35.25568, + "name": "Majd el Kurūm" + }, + "end": { + "lat": -26.08159, + "lon": 25.88124, + "name": "Itsoseng" + }, + "waypoint": { + "lat": 51.20892, + "lon": 3.22424, + "name": "Brugge" + }, + "question": "Is Brugge approximately on the direct path from Majd el Kurūm to Itsoseng?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6635.5, + "via_waypoint_km": 12168.7, + "detour_km": 5533.3, + "detour_percent": 83.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Majd el Kurūm", + " End: Itsoseng", + " Waypoint: Brugge", + "Step 2: Calculate direct distance", + " Start → End: 6635.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12168.7 km", + "Step 4: Calculate detour", + " Detour = 12168.7 - 6635.5 = 5533.3 km", + " Detour % = (5533.3 / 6635.5) × 100 = 83.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 83.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -8.35778, + "lon": -36.69639, + "name": "Pesqueira" + }, + "end": { + "lat": -32.27682, + "lon": 115.72978, + "name": "Rockingham" + }, + "waypoint": { + "lat": -24.98776, + "lon": 31.2385, + "name": "Mkhuhlu" + }, + "question": "Is Mkhuhlu approximately on the direct path from Pesqueira to Rockingham?", + "ground_truth": { + "answer": true, + "direct_distance_km": 14632.7, + "via_waypoint_km": 15469.8, + "detour_km": 837.0, + "detour_percent": 5.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Pesqueira", + " End: Rockingham", + " Waypoint: Mkhuhlu", + "Step 2: Calculate direct distance", + " Start → End: 14632.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15469.8 km", + "Step 4: Calculate detour", + " Detour = 15469.8 - 14632.7 = 837.0 km", + " Detour % = (837.0 / 14632.7) × 100 = 5.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 5.7% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.79455, + "lon": -73.81847, + "name": "Whitestone" + }, + "end": { + "lat": 34.45226, + "lon": 40.91854, + "name": "Ālbū Kamāl" + }, + "waypoint": { + "lat": 4.96531, + "lon": -73.91301, + "name": "Tocancipá" + }, + "question": "Is Tocancipá approximately on the direct path from Whitestone to Ālbū Kamāl?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9315.7, + "via_waypoint_km": 15906.3, + "detour_km": 6590.6, + "detour_percent": 70.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Whitestone", + " End: Ālbū Kamāl", + " Waypoint: Tocancipá", + "Step 2: Calculate direct distance", + " Start → End: 9315.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15906.3 km", + "Step 4: Calculate detour", + " Detour = 15906.3 - 9315.7 = 6590.6 km", + " Detour % = (6590.6 / 9315.7) × 100 = 70.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 70.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 5.6561, + "lon": -75.87877, + "name": "Andes" + }, + "end": { + "lat": 31.31716, + "lon": -113.53799, + "name": "Puerto Peñasco" + }, + "waypoint": { + "lat": 20.94896, + "lon": 72.89829, + "name": "Jalalpore" + }, + "question": "Is Jalalpore approximately on the direct path from Andes to Puerto Peñasco?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4847.4, + "via_waypoint_km": 29665.8, + "detour_km": 24818.4, + "detour_percent": 512.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Andes", + " End: Puerto Peñasco", + " Waypoint: Jalalpore", + "Step 2: Calculate direct distance", + " Start → End: 4847.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 29665.8 km", + "Step 4: Calculate detour", + " Detour = 29665.8 - 4847.4 = 24818.4 km", + " Detour % = (24818.4 / 4847.4) × 100 = 512.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 512.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 29.36089, + "lon": 76.94258, + "name": "Panipat Taraf Rajputan" + }, + "end": { + "lat": 26.25318, + "lon": 108.65785, + "name": "Shangchong" + }, + "waypoint": { + "lat": -9.51656, + "lon": -77.53045, + "name": "Centenario" + }, + "question": "Is Centenario approximately on the direct path from Panipat Taraf Rajputan to Shangchong?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3128.9, + "via_waypoint_km": 34605.6, + "detour_km": 31476.7, + "detour_percent": 1006.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Panipat Taraf Rajputan", + " End: Shangchong", + " Waypoint: Centenario", + "Step 2: Calculate direct distance", + " Start → End: 3128.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 34605.6 km", + "Step 4: Calculate detour", + " Detour = 34605.6 - 3128.9 = 31476.7 km", + " Detour % = (31476.7 / 3128.9) × 100 = 1006.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1006.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 19.59925, + "lon": 76.21541, + "name": "Partūr" + }, + "end": { + "lat": 12.81965, + "lon": 108.07738, + "name": "Quảng Phú" + }, + "waypoint": { + "lat": -33.94185, + "lon": 150.8717, + "name": "Prestons" + }, + "question": "Is Prestons approximately on the direct path from Partūr to Quảng Phú?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3478.7, + "via_waypoint_km": 16775.7, + "detour_km": 13297.0, + "detour_percent": 382.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Partūr", + " End: Quảng Phú", + " Waypoint: Prestons", + "Step 2: Calculate direct distance", + " Start → End: 3478.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16775.7 km", + "Step 4: Calculate detour", + " Detour = 16775.7 - 3478.7 = 13297.0 km", + " Detour % = (13297.0 / 3478.7) × 100 = 382.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 382.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 18.73734, + "lon": 73.09603, + "name": "Pen" + }, + "end": { + "lat": 54.35806, + "lon": 59.43611, + "name": "Uchaly" + }, + "waypoint": { + "lat": -0.0962, + "lon": 34.27322, + "name": "Bondo" + }, + "question": "Is Bondo approximately on the direct path from Pen to Uchaly?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4128.5, + "via_waypoint_km": 11204.3, + "detour_km": 7075.7, + "detour_percent": 171.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Pen", + " End: Uchaly", + " Waypoint: Bondo", + "Step 2: Calculate direct distance", + " Start → End: 4128.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11204.3 km", + "Step 4: Calculate detour", + " Detour = 11204.3 - 4128.5 = 7075.7 km", + " Detour % = (7075.7 / 4128.5) × 100 = 171.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 171.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -19.05294, + "lon": -169.91957, + "name": "Alofi" + }, + "end": { + "lat": 0.37957, + "lon": 30.23039, + "name": "Rwiimi" + }, + "waypoint": { + "lat": 37.5732, + "lon": 32.77446, + "name": "Çumra" + }, + "question": "Is Çumra approximately on the direct path from Alofi to Rwiimi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 16991.9, + "via_waypoint_km": 21145.6, + "detour_km": 4153.8, + "detour_percent": 24.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Alofi", + " End: Rwiimi", + " Waypoint: Çumra", + "Step 2: Calculate direct distance", + " Start → End: 16991.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21145.6 km", + "Step 4: Calculate detour", + " Detour = 21145.6 - 16991.9 = 4153.8 km", + " Detour % = (4153.8 / 16991.9) × 100 = 24.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 24.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 43.64455, + "lon": -79.40712, + "name": "Niagara" + }, + "end": { + "lat": 41.5098, + "lon": 34.21414, + "name": "Taşköprü" + }, + "waypoint": { + "lat": 14.88722, + "lon": 38.81528, + "name": "Mendefera" + }, + "question": "Is Mendefera approximately on the direct path from Niagara to Taşköprü?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8461.5, + "via_waypoint_km": 13982.0, + "detour_km": 5520.5, + "detour_percent": 65.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Niagara", + " End: Taşköprü", + " Waypoint: Mendefera", + "Step 2: Calculate direct distance", + " Start → End: 8461.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13982.0 km", + "Step 4: Calculate detour", + " Detour = 13982.0 - 8461.5 = 5520.5 km", + " Detour % = (5520.5 / 8461.5) × 100 = 65.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 65.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 0.71333, + "lon": -51.41333, + "name": "Porto Grande" + }, + "end": { + "lat": 30.49238, + "lon": -9.6355, + "name": "Aourir" + }, + "waypoint": { + "lat": 27.89641, + "lon": -81.84314, + "name": "Bartow" + }, + "question": "Is Bartow approximately on the direct path from Porto Grande to Aourir?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5509.0, + "via_waypoint_km": 11319.6, + "detour_km": 5810.5, + "detour_percent": 105.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Porto Grande", + " End: Aourir", + " Waypoint: Bartow", + "Step 2: Calculate direct distance", + " Start → End: 5509.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11319.6 km", + "Step 4: Calculate detour", + " Detour = 11319.6 - 5509.0 = 5810.5 km", + " Detour % = (5810.5 / 5509.0) × 100 = 105.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 105.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 29.87522, + "lon": -98.26251, + "name": "Canyon Lake" + }, + "end": { + "lat": 49.75133, + "lon": 18.63213, + "name": "Cieszyn" + }, + "waypoint": { + "lat": -29.78306, + "lon": -55.79194, + "name": "Alegrete" + }, + "question": "Is Alegrete approximately on the direct path from Canyon Lake to Cieszyn?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9197.8, + "via_waypoint_km": 19491.5, + "detour_km": 10293.6, + "detour_percent": 111.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Canyon Lake", + " End: Cieszyn", + " Waypoint: Alegrete", + "Step 2: Calculate direct distance", + " Start → End: 9197.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19491.5 km", + "Step 4: Calculate detour", + " Detour = 19491.5 - 9197.8 = 10293.6 km", + " Detour % = (10293.6 / 9197.8) × 100 = 111.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 111.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 10.79709, + "lon": 78.79231, + "name": "Koothappar" + }, + "end": { + "lat": -18.01274, + "lon": 31.07555, + "name": "Chitungwiza" + }, + "waypoint": { + "lat": 35.92472, + "lon": 6.69528, + "name": "Aïn Kercha" + }, + "question": "Is Aïn Kercha approximately on the direct path from Koothappar to Chitungwiza?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6139.1, + "via_waypoint_km": 14222.8, + "detour_km": 8083.7, + "detour_percent": 131.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Koothappar", + " End: Chitungwiza", + " Waypoint: Aïn Kercha", + "Step 2: Calculate direct distance", + " Start → End: 6139.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14222.8 km", + "Step 4: Calculate detour", + " Detour = 14222.8 - 6139.1 = 8083.7 km", + " Detour % = (8083.7 / 6139.1) × 100 = 131.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 131.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -8.60111, + "lon": -38.56861, + "name": "Floresta" + }, + "end": { + "lat": 19.30661, + "lon": -98.18773, + "name": "Santa Ana Chiautempan" + }, + "waypoint": { + "lat": -38.03333, + "lon": 145.25, + "name": "Hampton Park" + }, + "question": "Is Hampton Park approximately on the direct path from Floresta to Santa Ana Chiautempan?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7228.6, + "via_waypoint_km": 28426.8, + "detour_km": 21198.3, + "detour_percent": 293.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Floresta", + " End: Santa Ana Chiautempan", + " Waypoint: Hampton Park", + "Step 2: Calculate direct distance", + " Start → End: 7228.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 28426.8 km", + "Step 4: Calculate detour", + " Detour = 28426.8 - 7228.6 = 21198.3 km", + " Detour % = (21198.3 / 7228.6) × 100 = 293.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 293.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 7.34813, + "lon": 37.95063, + "name": "Damboya" + }, + "end": { + "lat": 40.86151, + "lon": 14.27328, + "name": "Vicaria" + }, + "waypoint": { + "lat": 42.00288, + "lon": -71.51478, + "name": "Woonsocket" + }, + "question": "Is Woonsocket approximately on the direct path from Damboya to Vicaria?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4402.3, + "via_waypoint_km": 17856.0, + "detour_km": 13453.7, + "detour_percent": 305.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Damboya", + " End: Vicaria", + " Waypoint: Woonsocket", + "Step 2: Calculate direct distance", + " Start → End: 4402.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17856.0 km", + "Step 4: Calculate detour", + " Detour = 17856.0 - 4402.3 = 13453.7 km", + " Detour % = (13453.7 / 4402.3) × 100 = 305.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 305.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -25.74946, + "lon": -56.43518, + "name": "Villarrica" + }, + "end": { + "lat": 6.11982, + "lon": 1.19012, + "name": "Aflao" + }, + "waypoint": { + "lat": 51.25251, + "lon": 4.50268, + "name": "Schoten" + }, + "question": "Is Schoten approximately on the direct path from Villarrica to Aflao?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7152.9, + "via_waypoint_km": 15449.7, + "detour_km": 8296.8, + "detour_percent": 116.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Villarrica", + " End: Aflao", + " Waypoint: Schoten", + "Step 2: Calculate direct distance", + " Start → End: 7152.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15449.7 km", + "Step 4: Calculate detour", + " Detour = 15449.7 - 7152.9 = 8296.8 km", + " Detour % = (8296.8 / 7152.9) × 100 = 116.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 116.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 31.77667, + "lon": 35.23417, + "name": "Old City" + }, + "end": { + "lat": 53.70821, + "lon": 84.94307, + "name": "Zarinsk" + }, + "waypoint": { + "lat": -31.66833, + "lon": 18.50119, + "name": "Vredendal" + }, + "question": "Is Vredendal approximately on the direct path from Old City to Zarinsk?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4606.0, + "via_waypoint_km": 18703.7, + "detour_km": 14097.7, + "detour_percent": 306.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Old City", + " End: Zarinsk", + " Waypoint: Vredendal", + "Step 2: Calculate direct distance", + " Start → End: 4606.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18703.7 km", + "Step 4: Calculate detour", + " Detour = 18703.7 - 4606.0 = 14097.7 km", + " Detour % = (14097.7 / 4606.0) × 100 = 306.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 306.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 43.12778, + "lon": 25.70167, + "name": "Gorna Oryahovitsa" + }, + "end": { + "lat": 48.97447, + "lon": 14.47434, + "name": "České Budějovice" + }, + "waypoint": { + "lat": 17.25799, + "lon": 78.89776, + "name": "Chautāpal" + }, + "question": "Is Chautāpal approximately on the direct path from Gorna Oryahovitsa to České Budějovice?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1081.4, + "via_waypoint_km": 12456.6, + "detour_km": 11375.3, + "detour_percent": 1051.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Gorna Oryahovitsa", + " End: České Budějovice", + " Waypoint: Chautāpal", + "Step 2: Calculate direct distance", + " Start → End: 1081.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12456.6 km", + "Step 4: Calculate detour", + " Detour = 12456.6 - 1081.4 = 11375.3 km", + " Detour % = (11375.3 / 1081.4) × 100 = 1051.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1051.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 41.88407, + "lon": -87.6333, + "name": "Chicago Loop" + }, + "end": { + "lat": 40.91149, + "lon": -73.78235, + "name": "New Rochelle" + }, + "waypoint": { + "lat": 52.6069, + "lon": 11.85867, + "name": "Stendal" + }, + "question": "Is Stendal approximately on the direct path from Chicago Loop to New Rochelle?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1159.1, + "via_waypoint_km": 13249.6, + "detour_km": 12090.5, + "detour_percent": 1043.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Chicago Loop", + " End: New Rochelle", + " Waypoint: Stendal", + "Step 2: Calculate direct distance", + " Start → End: 1159.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13249.6 km", + "Step 4: Calculate detour", + " Detour = 13249.6 - 1159.1 = 12090.5 km", + " Detour % = (12090.5 / 1159.1) × 100 = 1043.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1043.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.15511, + "lon": -74.82877, + "name": "Levittown" + }, + "end": { + "lat": 50.06143, + "lon": 19.93658, + "name": "Kraków" + }, + "waypoint": { + "lat": 10.53589, + "lon": 106.41366, + "name": "Tân An" + }, + "question": "Is Tân An approximately on the direct path from Levittown to Kraków?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7007.5, + "via_waypoint_km": 23238.1, + "detour_km": 16230.6, + "detour_percent": 231.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Levittown", + " End: Kraków", + " Waypoint: Tân An", + "Step 2: Calculate direct distance", + " Start → End: 7007.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23238.1 km", + "Step 4: Calculate detour", + " Detour = 23238.1 - 7007.5 = 16230.6 km", + " Detour % = (16230.6 / 7007.5) × 100 = 231.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 231.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 44.8408, + "lon": -93.29828, + "name": "Bloomington" + }, + "end": { + "lat": 41.28899, + "lon": -72.68176, + "name": "Guilford" + }, + "waypoint": { + "lat": 10.33384, + "lon": -73.18048, + "name": "San Diego" + }, + "question": "Is San Diego approximately on the direct path from Bloomington to Guilford?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1715.7, + "via_waypoint_km": 7734.8, + "detour_km": 6019.1, + "detour_percent": 350.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bloomington", + " End: Guilford", + " Waypoint: San Diego", + "Step 2: Calculate direct distance", + " Start → End: 1715.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 7734.8 km", + "Step 4: Calculate detour", + " Detour = 7734.8 - 1715.7 = 6019.1 km", + " Detour % = (6019.1 / 1715.7) × 100 = 350.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 350.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -21.12111, + "lon": -56.48194, + "name": "Bonito" + }, + "end": { + "lat": 36.80146, + "lon": 7.60811, + "name": "Ahmed Bel Hadj" + }, + "waypoint": { + "lat": -0.30907, + "lon": 100.37055, + "name": "Bukittinggi" + }, + "question": "Is Bukittinggi approximately on the direct path from Bonito to Ahmed Bel Hadj?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9302.0, + "via_waypoint_km": 26824.8, + "detour_km": 17522.8, + "detour_percent": 188.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bonito", + " End: Ahmed Bel Hadj", + " Waypoint: Bukittinggi", + "Step 2: Calculate direct distance", + " Start → End: 9302.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26824.8 km", + "Step 4: Calculate detour", + " Detour = 26824.8 - 9302.0 = 17522.8 km", + " Detour % = (17522.8 / 9302.0) × 100 = 188.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 188.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 29.69029, + "lon": 75.57688, + "name": "Ratia" + }, + "end": { + "lat": 47.59432, + "lon": 1.32912, + "name": "Blois" + }, + "waypoint": { + "lat": 45.52637, + "lon": 9.51528, + "name": "Cassano d'Adda" + }, + "question": "Is Cassano d'Adda approximately on the direct path from Ratia to Blois?", + "ground_truth": { + "answer": true, + "direct_distance_km": 6487.9, + "via_waypoint_km": 6571.1, + "detour_km": 83.2, + "detour_percent": 1.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ratia", + " End: Blois", + " Waypoint: Cassano d'Adda", + "Step 2: Calculate direct distance", + " Start → End: 6487.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 6571.1 km", + "Step 4: Calculate detour", + " Detour = 6571.1 - 6487.9 = 83.2 km", + " Detour % = (83.2 / 6487.9) × 100 = 1.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1.3% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 14.8009, + "lon": -89.54641, + "name": "Chiquimula" + }, + "end": { + "lat": 30.05918, + "lon": 75.535, + "name": "Bhīkhi" + }, + "waypoint": { + "lat": 12.6269, + "lon": 9.38807, + "name": "Gumel" + }, + "question": "Is Gumel approximately on the direct path from Chiquimula to Bhīkhi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 14777.0, + "via_waypoint_km": 17612.4, + "detour_km": 2835.4, + "detour_percent": 19.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Chiquimula", + " End: Bhīkhi", + " Waypoint: Gumel", + "Step 2: Calculate direct distance", + " Start → End: 14777.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17612.4 km", + "Step 4: Calculate detour", + " Detour = 17612.4 - 14777.0 = 2835.4 km", + " Detour % = (2835.4 / 14777.0) × 100 = 19.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 19.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -33.92598, + "lon": 151.19347, + "name": "Mascot" + }, + "end": { + "lat": 39.93345, + "lon": -75.17796, + "name": "Point Breeze" + }, + "waypoint": { + "lat": 51.96224, + "lon": 8.22766, + "name": "Harsewinkel" + }, + "question": "Is Harsewinkel approximately on the direct path from Mascot to Point Breeze?", + "ground_truth": { + "answer": false, + "direct_distance_km": 15886.3, + "via_waypoint_km": 22675.0, + "detour_km": 6788.7, + "detour_percent": 42.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mascot", + " End: Point Breeze", + " Waypoint: Harsewinkel", + "Step 2: Calculate direct distance", + " Start → End: 15886.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22675.0 km", + "Step 4: Calculate detour", + " Detour = 22675.0 - 15886.3 = 6788.7 km", + " Detour % = (6788.7 / 15886.3) × 100 = 42.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 42.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 52.48333, + "lon": 4.65694, + "name": "Beverwijk" + }, + "end": { + "lat": 6.79519, + "lon": -6.2355, + "name": "Zaliohouan" + }, + "waypoint": { + "lat": -16.91995, + "lon": 35.26199, + "name": "Nsanje" + }, + "question": "Is Nsanje approximately on the direct path from Beverwijk to Zaliohouan?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5176.6, + "via_waypoint_km": 13530.4, + "detour_km": 8353.8, + "detour_percent": 161.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Beverwijk", + " End: Zaliohouan", + " Waypoint: Nsanje", + "Step 2: Calculate direct distance", + " Start → End: 5176.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13530.4 km", + "Step 4: Calculate detour", + " Detour = 13530.4 - 5176.6 = 8353.8 km", + " Detour % = (8353.8 / 5176.6) × 100 = 161.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 161.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 13.00715, + "lon": 76.0962, + "name": "Hassan" + }, + "end": { + "lat": 24.20645, + "lon": 84.87085, + "name": "Chatrā" + }, + "waypoint": { + "lat": 11.7817, + "lon": 78.8354, + "name": "Vadakkanandal" + }, + "question": "Is Vadakkanandal approximately on the direct path from Hassan to Chatrā?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1549.8, + "via_waypoint_km": 1848.4, + "detour_km": 298.5, + "detour_percent": 19.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Hassan", + " End: Chatrā", + " Waypoint: Vadakkanandal", + "Step 2: Calculate direct distance", + " Start → End: 1549.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 1848.4 km", + "Step 4: Calculate detour", + " Detour = 1848.4 - 1549.8 = 298.5 km", + " Detour % = (298.5 / 1549.8) × 100 = 19.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 19.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 37.84608, + "lon": 139.23039, + "name": "Suibara" + }, + "end": { + "lat": 5.95996, + "lon": -1.77792, + "name": "Dunkwa" + }, + "waypoint": { + "lat": 9.3045, + "lon": -75.3905, + "name": "Sincelejo" + }, + "question": "Is Sincelejo approximately on the direct path from Suibara to Dunkwa?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13692.9, + "via_waypoint_km": 21766.0, + "detour_km": 8073.1, + "detour_percent": 59.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Suibara", + " End: Dunkwa", + " Waypoint: Sincelejo", + "Step 2: Calculate direct distance", + " Start → End: 13692.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21766.0 km", + "Step 4: Calculate detour", + " Detour = 21766.0 - 13692.9 = 8073.1 km", + " Detour % = (8073.1 / 13692.9) × 100 = 59.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 59.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 16.15071, + "lon": -13.50582, + "name": "Kaédi" + }, + "end": { + "lat": -21.21139, + "lon": -47.59556, + "name": "Serrana" + }, + "waypoint": { + "lat": 39.34788, + "lon": -76.76997, + "name": "Milford Mill" + }, + "question": "Is Milford Mill approximately on the direct path from Kaédi to Serrana?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5575.1, + "via_waypoint_km": 13979.3, + "detour_km": 8404.2, + "detour_percent": 150.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kaédi", + " End: Serrana", + " Waypoint: Milford Mill", + "Step 2: Calculate direct distance", + " Start → End: 5575.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13979.3 km", + "Step 4: Calculate detour", + " Detour = 13979.3 - 5575.1 = 8404.2 km", + " Detour % = (8404.2 / 5575.1) × 100 = 150.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 150.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 22.42347, + "lon": 71.19641, + "name": "Chotila" + }, + "end": { + "lat": 14.78828, + "lon": -90.19876, + "name": "Sanarate" + }, + "waypoint": { + "lat": 48.09542, + "lon": -4.32904, + "name": "Douarnenez" + }, + "question": "Is Douarnenez approximately on the direct path from Chotila to Sanarate?", + "ground_truth": { + "answer": true, + "direct_distance_km": 15407.6, + "via_waypoint_km": 15604.1, + "detour_km": 196.5, + "detour_percent": 1.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Chotila", + " End: Sanarate", + " Waypoint: Douarnenez", + "Step 2: Calculate direct distance", + " Start → End: 15407.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15604.1 km", + "Step 4: Calculate detour", + " Detour = 15604.1 - 15407.6 = 196.5 km", + " Detour % = (196.5 / 15407.6) × 100 = 1.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1.3% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -37.90232, + "lon": 145.01734, + "name": "Brighton East" + }, + "end": { + "lat": -19.45, + "lon": 29.81667, + "name": "Gweru" + }, + "waypoint": { + "lat": 28.62169, + "lon": 76.9923, + "name": "Nangli Sakrawat" + }, + "question": "Is Nangli Sakrawat approximately on the direct path from Brighton East to Gweru?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10724.1, + "via_waypoint_km": 17595.1, + "detour_km": 6871.0, + "detour_percent": 64.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Brighton East", + " End: Gweru", + " Waypoint: Nangli Sakrawat", + "Step 2: Calculate direct distance", + " Start → End: 10724.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17595.1 km", + "Step 4: Calculate detour", + " Detour = 17595.1 - 10724.1 = 6871.0 km", + " Detour % = (6871.0 / 10724.1) × 100 = 64.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 64.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.37982, + "lon": 9.01445, + "name": "Bad Arolsen" + }, + "end": { + "lat": 12.91808, + "lon": 79.27756, + "name": "Vishāram" + }, + "waypoint": { + "lat": -1.76556, + "lon": -55.86611, + "name": "Oriximiná" + }, + "question": "Is Oriximiná approximately on the direct path from Bad Arolsen to Vishāram?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7523.4, + "via_waypoint_km": 23383.7, + "detour_km": 15860.3, + "detour_percent": 210.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bad Arolsen", + " End: Vishāram", + " Waypoint: Oriximiná", + "Step 2: Calculate direct distance", + " Start → End: 7523.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23383.7 km", + "Step 4: Calculate detour", + " Detour = 23383.7 - 7523.4 = 15860.3 km", + " Detour % = (15860.3 / 7523.4) × 100 = 210.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 210.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -20.4943, + "lon": 27.03479, + "name": "Tutume" + }, + "end": { + "lat": 31.18352, + "lon": 30.52448, + "name": "Al Maḩmūdīyah" + }, + "waypoint": { + "lat": 40.47066, + "lon": -3.69431, + "name": "Almenara" + }, + "question": "Is Almenara approximately on the direct path from Tutume to Al Maḩmūdīyah?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5758.4, + "via_waypoint_km": 10717.4, + "detour_km": 4959.0, + "detour_percent": 86.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tutume", + " End: Al Maḩmūdīyah", + " Waypoint: Almenara", + "Step 2: Calculate direct distance", + " Start → End: 5758.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10717.4 km", + "Step 4: Calculate detour", + " Detour = 10717.4 - 5758.4 = 4959.0 km", + " Detour % = (4959.0 / 5758.4) × 100 = 86.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 86.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 21.17429, + "lon": -86.84656, + "name": "Cancún" + }, + "end": { + "lat": 40.74649, + "lon": -74.15626, + "name": "Harrison" + }, + "waypoint": { + "lat": -9.68456, + "lon": 14.42788, + "name": "Dondo" + }, + "question": "Is Dondo approximately on the direct path from Cancún to Harrison?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2483.8, + "via_waypoint_km": 22145.1, + "detour_km": 19661.3, + "detour_percent": 791.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Cancún", + " End: Harrison", + " Waypoint: Dondo", + "Step 2: Calculate direct distance", + " Start → End: 2483.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22145.1 km", + "Step 4: Calculate detour", + " Detour = 22145.1 - 2483.8 = 19661.3 km", + " Detour % = (19661.3 / 2483.8) × 100 = 791.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 791.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 25.75871, + "lon": -80.39839, + "name": "Tamiami" + }, + "end": { + "lat": 50.68265, + "lon": 21.74898, + "name": "Sandomierz" + }, + "waypoint": { + "lat": 32.79978, + "lon": 51.69553, + "name": "Dowlatābād" + }, + "question": "Is Dowlatābād approximately on the direct path from Tamiami to Sandomierz?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8619.6, + "via_waypoint_km": 14908.4, + "detour_km": 6288.8, + "detour_percent": 73.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tamiami", + " End: Sandomierz", + " Waypoint: Dowlatābād", + "Step 2: Calculate direct distance", + " Start → End: 8619.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14908.4 km", + "Step 4: Calculate detour", + " Detour = 14908.4 - 8619.6 = 6288.8 km", + " Detour % = (6288.8 / 8619.6) × 100 = 73.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 73.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 47.18213, + "lon": 8.46358, + "name": "Cham" + }, + "end": { + "lat": 54.90465, + "lon": -1.38222, + "name": "Sunderland" + }, + "waypoint": { + "lat": 1.23909, + "lon": 23.61598, + "name": "Basoko" + }, + "question": "Is Basoko approximately on the direct path from Cham to Sunderland?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1098.4, + "via_waypoint_km": 11698.4, + "detour_km": 10600.0, + "detour_percent": 965.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Cham", + " End: Sunderland", + " Waypoint: Basoko", + "Step 2: Calculate direct distance", + " Start → End: 1098.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11698.4 km", + "Step 4: Calculate detour", + " Detour = 11698.4 - 1098.4 = 10600.0 km", + " Detour % = (10600.0 / 1098.4) × 100 = 965.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 965.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -19.4, + "lon": 46.95, + "name": "Faratsiho" + }, + "end": { + "lat": 11.52941, + "lon": -2.76797, + "name": "Fara Department" + }, + "waypoint": { + "lat": 55.01646, + "lon": -1.44925, + "name": "North Shields" + }, + "question": "Is North Shields approximately on the direct path from Faratsiho to Fara Department?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6440.1, + "via_waypoint_km": 14290.1, + "detour_km": 7850.0, + "detour_percent": 121.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Faratsiho", + " End: Fara Department", + " Waypoint: North Shields", + "Step 2: Calculate direct distance", + " Start → End: 6440.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14290.1 km", + "Step 4: Calculate detour", + " Detour = 14290.1 - 6440.1 = 7850.0 km", + " Detour % = (7850.0 / 6440.1) × 100 = 121.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 121.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 21.85523, + "lon": 70.24791, + "name": "Bhāyāvadar" + }, + "end": { + "lat": 34.00968, + "lon": 71.79445, + "name": "Pabbi" + }, + "waypoint": { + "lat": -22.29639, + "lon": -48.55778, + "name": "Jaú" + }, + "question": "Is Jaú approximately on the direct path from Bhāyāvadar to Pabbi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1360.0, + "via_waypoint_km": 27861.5, + "detour_km": 26501.6, + "detour_percent": 1948.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bhāyāvadar", + " End: Pabbi", + " Waypoint: Jaú", + "Step 2: Calculate direct distance", + " Start → End: 1360.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27861.5 km", + "Step 4: Calculate detour", + " Detour = 27861.5 - 1360.0 = 26501.6 km", + " Detour % = (26501.6 / 1360.0) × 100 = 1948.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1948.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 28.72249, + "lon": 78.28436, + "name": "Hasanpur" + }, + "end": { + "lat": 21.45713, + "lon": 110.76591, + "name": "Wuchuan" + }, + "waypoint": { + "lat": 49.96528, + "lon": 16.97061, + "name": "Šumperk" + }, + "question": "Is Šumperk approximately on the direct path from Hasanpur to Wuchuan?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3357.9, + "via_waypoint_km": 14053.9, + "detour_km": 10696.0, + "detour_percent": 318.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Hasanpur", + " End: Wuchuan", + " Waypoint: Šumperk", + "Step 2: Calculate direct distance", + " Start → End: 3357.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14053.9 km", + "Step 4: Calculate detour", + " Detour = 14053.9 - 3357.9 = 10696.0 km", + " Detour % = (10696.0 / 3357.9) × 100 = 318.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 318.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.22393, + "lon": 1.67187, + "name": "El Attaf" + }, + "end": { + "lat": 48.62605, + "lon": 2.60125, + "name": "Moissy-Cramayel" + }, + "waypoint": { + "lat": -17.28556, + "lon": -42.73, + "name": "Turmalina" + }, + "question": "Is Turmalina approximately on the direct path from El Attaf to Moissy-Cramayel?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1381.1, + "via_waypoint_km": 16150.1, + "detour_km": 14769.0, + "detour_percent": 1069.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: El Attaf", + " End: Moissy-Cramayel", + " Waypoint: Turmalina", + "Step 2: Calculate direct distance", + " Start → End: 1381.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16150.1 km", + "Step 4: Calculate detour", + " Detour = 16150.1 - 1381.1 = 14769.0 km", + " Detour % = (14769.0 / 1381.1) × 100 = 1069.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1069.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 47.47305, + "lon": 19.07971, + "name": "Középső-Ferencváros" + }, + "end": { + "lat": -11.61667, + "lon": -38.8, + "name": "Biritinga" + }, + "waypoint": { + "lat": -34.38333, + "lon": -72.0, + "name": "Pichilemu" + }, + "question": "Is Pichilemu approximately on the direct path from Középső-Ferencváros to Biritinga?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8701.0, + "via_waypoint_km": 17019.5, + "detour_km": 8318.4, + "detour_percent": 95.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Középső-Ferencváros", + " End: Biritinga", + " Waypoint: Pichilemu", + "Step 2: Calculate direct distance", + " Start → End: 8701.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17019.5 km", + "Step 4: Calculate detour", + " Detour = 17019.5 - 8701.0 = 8318.4 km", + " Detour % = (8318.4 / 8701.0) × 100 = 95.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 95.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 43.54369, + "lon": -96.72796, + "name": "Sioux Falls" + }, + "end": { + "lat": 41.16161, + "lon": -112.02633, + "name": "Roy" + }, + "waypoint": { + "lat": 14.78148, + "lon": -17.3841, + "name": "N’diareme limamoulaye" + }, + "question": "Is N’diareme limamoulaye approximately on the direct path from Sioux Falls to Roy?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1282.8, + "via_waypoint_km": 17342.2, + "detour_km": 16059.4, + "detour_percent": 1251.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sioux Falls", + " End: Roy", + " Waypoint: N’diareme limamoulaye", + "Step 2: Calculate direct distance", + " Start → End: 1282.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17342.2 km", + "Step 4: Calculate detour", + " Detour = 17342.2 - 1282.8 = 16059.4 km", + " Detour % = (16059.4 / 1282.8) × 100 = 1251.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1251.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 50.3505, + "lon": 14.47411, + "name": "Mělník" + }, + "end": { + "lat": -26.66331, + "lon": 28.59016, + "name": "Balfour" + }, + "waypoint": { + "lat": -31.40648, + "lon": -64.18853, + "name": "Córdoba" + }, + "question": "Is Córdoba approximately on the direct path from Mělník to Balfour?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8675.9, + "via_waypoint_km": 20654.9, + "detour_km": 11979.0, + "detour_percent": 138.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mělník", + " End: Balfour", + " Waypoint: Córdoba", + "Step 2: Calculate direct distance", + " Start → End: 8675.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20654.9 km", + "Step 4: Calculate detour", + " Detour = 20654.9 - 8675.9 = 11979.0 km", + " Detour % = (11979.0 / 8675.9) × 100 = 138.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 138.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 32.80755, + "lon": -116.93642, + "name": "Bostonia" + }, + "end": { + "lat": 32.59702, + "lon": 74.14652, + "name": "Sook Kalan" + }, + "waypoint": { + "lat": -20.81972, + "lon": -49.37944, + "name": "São José do Rio Preto" + }, + "question": "Is São José do Rio Preto approximately on the direct path from Bostonia to Sook Kalan?", + "ground_truth": { + "answer": false, + "direct_distance_km": 12650.2, + "via_waypoint_km": 23642.7, + "detour_km": 10992.5, + "detour_percent": 86.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bostonia", + " End: Sook Kalan", + " Waypoint: São José do Rio Preto", + "Step 2: Calculate direct distance", + " Start → End: 12650.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23642.7 km", + "Step 4: Calculate detour", + " Detour = 23642.7 - 12650.2 = 10992.5 km", + " Detour % = (10992.5 / 12650.2) × 100 = 86.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 86.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 47.03426, + "lon": -122.82319, + "name": "Lacey" + }, + "end": { + "lat": -33.92893, + "lon": 151.05111, + "name": "Punchbowl" + }, + "waypoint": { + "lat": 47.06667, + "lon": 51.86667, + "name": "Balykshi" + }, + "question": "Is Balykshi approximately on the direct path from Lacey to Punchbowl?", + "ground_truth": { + "answer": false, + "direct_distance_km": 12423.8, + "via_waypoint_km": 22873.9, + "detour_km": 10450.1, + "detour_percent": 84.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Lacey", + " End: Punchbowl", + " Waypoint: Balykshi", + "Step 2: Calculate direct distance", + " Start → End: 12423.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22873.9 km", + "Step 4: Calculate detour", + " Detour = 22873.9 - 12423.8 = 10450.1 km", + " Detour % = (10450.1 / 12423.8) × 100 = 84.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 84.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -1.39639, + "lon": 36.94028, + "name": "Mlolongo" + }, + "end": { + "lat": 34.57943, + "lon": -118.11646, + "name": "Palmdale" + }, + "waypoint": { + "lat": 51.53333, + "lon": 0.08333, + "name": "Barking" + }, + "question": "Is Barking approximately on the direct path from Mlolongo to Palmdale?", + "ground_truth": { + "answer": true, + "direct_distance_km": 15509.2, + "via_waypoint_km": 15538.1, + "detour_km": 28.9, + "detour_percent": 0.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mlolongo", + " End: Palmdale", + " Waypoint: Barking", + "Step 2: Calculate direct distance", + " Start → End: 15509.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15538.1 km", + "Step 4: Calculate detour", + " Detour = 15538.1 - 15509.2 = 28.9 km", + " Detour % = (28.9 / 15509.2) × 100 = 0.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.2% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 14.64056, + "lon": 104.64992, + "name": "Kantharalak" + }, + "end": { + "lat": 50.87079, + "lon": 6.86761, + "name": "Hürth" + }, + "waypoint": { + "lat": 53.70326, + "lon": -2.32382, + "name": "Haslingden" + }, + "question": "Is Haslingden approximately on the direct path from Kantharalak to Hürth?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9283.6, + "via_waypoint_km": 10474.2, + "detour_km": 1190.6, + "detour_percent": 12.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kantharalak", + " End: Hürth", + " Waypoint: Haslingden", + "Step 2: Calculate direct distance", + " Start → End: 9283.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10474.2 km", + "Step 4: Calculate detour", + " Detour = 10474.2 - 9283.6 = 1190.6 km", + " Detour % = (1190.6 / 9283.6) × 100 = 12.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 12.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 26.74063, + "lon": 85.27323, + "name": "Bairāgnia" + }, + "end": { + "lat": 18.68211, + "lon": 73.73161, + "name": "Dehu Road" + }, + "waypoint": { + "lat": 43.60717, + "lon": 13.5103, + "name": "Ancona" + }, + "question": "Is Ancona approximately on the direct path from Bairāgnia to Dehu Road?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1483.3, + "via_waypoint_km": 12786.3, + "detour_km": 11303.0, + "detour_percent": 762.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bairāgnia", + " End: Dehu Road", + " Waypoint: Ancona", + "Step 2: Calculate direct distance", + " Start → End: 1483.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12786.3 km", + "Step 4: Calculate detour", + " Detour = 12786.3 - 1483.3 = 11303.0 km", + " Detour % = (11303.0 / 1483.3) × 100 = 762.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 762.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.81204, + "lon": -74.12431, + "name": "Lyndhurst" + }, + "end": { + "lat": 15.02995, + "lon": -91.14876, + "name": "Santa Cruz del Quiché" + }, + "waypoint": { + "lat": 55.62047, + "lon": 37.49338, + "name": "Tyoply Stan" + }, + "question": "Is Tyoply Stan approximately on the direct path from Lyndhurst to Santa Cruz del Quiché?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3305.2, + "via_waypoint_km": 18326.5, + "detour_km": 15021.3, + "detour_percent": 454.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Lyndhurst", + " End: Santa Cruz del Quiché", + " Waypoint: Tyoply Stan", + "Step 2: Calculate direct distance", + " Start → End: 3305.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18326.5 km", + "Step 4: Calculate detour", + " Detour = 18326.5 - 3305.2 = 15021.3 km", + " Detour % = (15021.3 / 3305.2) × 100 = 454.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 454.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 42.12114, + "lon": -88.25786, + "name": "Carpentersville" + }, + "end": { + "lat": 39.89061, + "lon": -84.19883, + "name": "Vandalia" + }, + "waypoint": { + "lat": -12.96121, + "lon": 15.05958, + "name": "Ucuma" + }, + "question": "Is Ucuma approximately on the direct path from Carpentersville to Vandalia?", + "ground_truth": { + "answer": false, + "direct_distance_km": 421.3, + "via_waypoint_km": 23772.8, + "detour_km": 23351.5, + "detour_percent": 5543.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Carpentersville", + " End: Vandalia", + " Waypoint: Ucuma", + "Step 2: Calculate direct distance", + " Start → End: 421.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23772.8 km", + "Step 4: Calculate detour", + " Detour = 23772.8 - 421.3 = 23351.5 km", + " Detour % = (23351.5 / 421.3) × 100 = 5543.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 5543.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -28.71167, + "lon": -51.935, + "name": "Serafina Corrêa" + }, + "end": { + "lat": 7.38299, + "lon": 4.26031, + "name": "Modakeke" + }, + "waypoint": { + "lat": 28.01888, + "lon": -82.11469, + "name": "Plant City" + }, + "question": "Is Plant City approximately on the direct path from Serafina Corrêa to Modakeke?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7230.8, + "via_waypoint_km": 16347.8, + "detour_km": 9117.0, + "detour_percent": 126.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Serafina Corrêa", + " End: Modakeke", + " Waypoint: Plant City", + "Step 2: Calculate direct distance", + " Start → End: 7230.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16347.8 km", + "Step 4: Calculate detour", + " Detour = 16347.8 - 7230.8 = 9117.0 km", + " Detour % = (9117.0 / 7230.8) × 100 = 126.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 126.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 55.71667, + "lon": 37.78333, + "name": "Novokuz’minki" + }, + "end": { + "lat": 54.88037, + "lon": 23.90842, + "name": "Aleksotas" + }, + "waypoint": { + "lat": 35.74381, + "lon": -0.7693, + "name": "’Aïn el Turk" + }, + "question": "Is ’Aïn el Turk approximately on the direct path from Novokuz’minki to Aleksotas?", + "ground_truth": { + "answer": false, + "direct_distance_km": 881.7, + "via_waypoint_km": 6494.1, + "detour_km": 5612.4, + "detour_percent": 636.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Novokuz’minki", + " End: Aleksotas", + " Waypoint: ’Aïn el Turk", + "Step 2: Calculate direct distance", + " Start → End: 881.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 6494.1 km", + "Step 4: Calculate detour", + " Detour = 6494.1 - 881.7 = 5612.4 km", + " Detour % = (5612.4 / 881.7) × 100 = 636.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 636.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 42.32226, + "lon": -83.17631, + "name": "Dearborn" + }, + "end": { + "lat": 33.63627, + "lon": 133.00572, + "name": "Shinagawa" + }, + "waypoint": { + "lat": 9.3839, + "lon": 13.50231, + "name": "Pitoa" + }, + "question": "Is Pitoa approximately on the direct path from Dearborn to Shinagawa?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10799.0, + "via_waypoint_km": 21892.5, + "detour_km": 11093.6, + "detour_percent": 102.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Dearborn", + " End: Shinagawa", + " Waypoint: Pitoa", + "Step 2: Calculate direct distance", + " Start → End: 10799.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21892.5 km", + "Step 4: Calculate detour", + " Detour = 21892.5 - 10799.0 = 11093.6 km", + " Detour % = (11093.6 / 10799.0) × 100 = 102.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 102.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 10.15039, + "lon": -68.56478, + "name": "Nirgua" + }, + "end": { + "lat": 20.04698, + "lon": -77.58089, + "name": "Niquero" + }, + "waypoint": { + "lat": 51.41943, + "lon": 6.75462, + "name": "Hochfeld" + }, + "question": "Is Hochfeld approximately on the direct path from Nirgua to Niquero?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1464.6, + "via_waypoint_km": 16004.1, + "detour_km": 14539.6, + "detour_percent": 992.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Nirgua", + " End: Niquero", + " Waypoint: Hochfeld", + "Step 2: Calculate direct distance", + " Start → End: 1464.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16004.1 km", + "Step 4: Calculate detour", + " Detour = 16004.1 - 1464.6 = 14539.6 km", + " Detour % = (14539.6 / 1464.6) × 100 = 992.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 992.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 0.77725, + "lon": 33.62364, + "name": "Busembatia" + }, + "end": { + "lat": 30.6687, + "lon": 30.07391, + "name": "An Nūbārīyah" + }, + "waypoint": { + "lat": 48.76974, + "lon": 8.93871, + "name": "Renningen" + }, + "question": "Is Renningen approximately on the direct path from Busembatia to An Nūbārīyah?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3344.8, + "via_waypoint_km": 8522.7, + "detour_km": 5177.9, + "detour_percent": 154.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Busembatia", + " End: An Nūbārīyah", + " Waypoint: Renningen", + "Step 2: Calculate direct distance", + " Start → End: 3344.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 8522.7 km", + "Step 4: Calculate detour", + " Detour = 8522.7 - 3344.8 = 5177.9 km", + " Detour % = (5177.9 / 3344.8) × 100 = 154.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 154.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 59.1179, + "lon": 28.08826, + "name": "Slantsy" + }, + "end": { + "lat": 12.11451, + "lon": 12.8262, + "name": "Magumeri" + }, + "waypoint": { + "lat": 12.79881, + "lon": 39.64448, + "name": "Mehoni" + }, + "question": "Is Mehoni approximately on the direct path from Slantsy to Magumeri?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5379.0, + "via_waypoint_km": 8150.8, + "detour_km": 2771.8, + "detour_percent": 51.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Slantsy", + " End: Magumeri", + " Waypoint: Mehoni", + "Step 2: Calculate direct distance", + " Start → End: 5379.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 8150.8 km", + "Step 4: Calculate detour", + " Detour = 8150.8 - 5379.0 = 2771.8 km", + " Detour % = (2771.8 / 5379.0) × 100 = 51.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 51.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 37.6941, + "lon": -122.08635, + "name": "Castro Valley" + }, + "end": { + "lat": 41.63892, + "lon": -87.60727, + "name": "Dolton" + }, + "waypoint": { + "lat": 40.64153, + "lon": 72.23868, + "name": "Asaka" + }, + "question": "Is Asaka approximately on the direct path from Castro Valley to Dolton?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2963.6, + "via_waypoint_km": 21826.5, + "detour_km": 18862.9, + "detour_percent": 636.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Castro Valley", + " End: Dolton", + " Waypoint: Asaka", + "Step 2: Calculate direct distance", + " Start → End: 2963.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21826.5 km", + "Step 4: Calculate detour", + " Detour = 21826.5 - 2963.6 = 18862.9 km", + " Detour % = (18862.9 / 2963.6) × 100 = 636.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 636.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.89444, + "lon": 126.62972, + "name": "Tangjin" + }, + "end": { + "lat": 10.24147, + "lon": 106.37585, + "name": "Bến Tre" + }, + "waypoint": { + "lat": 6.56487, + "lon": -7.42735, + "name": "Goya" + }, + "question": "Is Goya approximately on the direct path from Tangjin to Bến Tre?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3593.8, + "via_waypoint_km": 25676.4, + "detour_km": 22082.6, + "detour_percent": 614.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tangjin", + " End: Bến Tre", + " Waypoint: Goya", + "Step 2: Calculate direct distance", + " Start → End: 3593.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25676.4 km", + "Step 4: Calculate detour", + " Detour = 25676.4 - 3593.8 = 22082.6 km", + " Detour % = (22082.6 / 3593.8) × 100 = 614.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 614.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 23.94826, + "lon": 87.68045, + "name": "Sainthia" + }, + "end": { + "lat": 53.06667, + "lon": -3.06667, + "name": "Brymbo" + }, + "waypoint": { + "lat": 39.76861, + "lon": -94.84663, + "name": "Saint Joseph" + }, + "question": "Is Saint Joseph approximately on the direct path from Sainthia to Brymbo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7950.5, + "via_waypoint_km": 19619.1, + "detour_km": 11668.7, + "detour_percent": 146.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sainthia", + " End: Brymbo", + " Waypoint: Saint Joseph", + "Step 2: Calculate direct distance", + " Start → End: 7950.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19619.1 km", + "Step 4: Calculate detour", + " Detour = 19619.1 - 7950.5 = 11668.7 km", + " Detour % = (11668.7 / 7950.5) × 100 = 146.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 146.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 32.88743, + "lon": 13.18733, + "name": "Tripoli" + }, + "end": { + "lat": -9.97472, + "lon": -67.81, + "name": "Rio Branco" + }, + "waypoint": { + "lat": 28.69861, + "lon": -81.42563, + "name": "Wekiwa Springs" + }, + "question": "Is Wekiwa Springs approximately on the direct path from Tripoli to Rio Branco?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9782.2, + "via_waypoint_km": 13257.0, + "detour_km": 3474.8, + "detour_percent": 35.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tripoli", + " End: Rio Branco", + " Waypoint: Wekiwa Springs", + "Step 2: Calculate direct distance", + " Start → End: 9782.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13257.0 km", + "Step 4: Calculate detour", + " Detour = 13257.0 - 9782.2 = 3474.8 km", + " Detour % = (3474.8 / 9782.2) × 100 = 35.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 35.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 49.46864, + "lon": 24.13045, + "name": "Novyi Rozdil" + }, + "end": { + "lat": 32.50611, + "lon": 120.14278, + "name": "Jiangyan" + }, + "waypoint": { + "lat": 3.15, + "lon": 101.53333, + "name": "Kampung Baru Subang" + }, + "question": "Is Kampung Baru Subang approximately on the direct path from Novyi Rozdil to Jiangyan?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7722.4, + "via_waypoint_km": 12630.6, + "detour_km": 4908.2, + "detour_percent": 63.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Novyi Rozdil", + " End: Jiangyan", + " Waypoint: Kampung Baru Subang", + "Step 2: Calculate direct distance", + " Start → End: 7722.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12630.6 km", + "Step 4: Calculate detour", + " Detour = 12630.6 - 7722.4 = 4908.2 km", + " Detour % = (4908.2 / 7722.4) × 100 = 63.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 63.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -0.17344, + "lon": 35.86313, + "name": "Rongai" + }, + "end": { + "lat": -25.11319, + "lon": 29.04454, + "name": "Siyabuswa" + }, + "waypoint": { + "lat": 41.00997, + "lon": 17.00558, + "name": "Rutigliano" + }, + "question": "Is Rutigliano approximately on the direct path from Rongai to Siyabuswa?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2868.4, + "via_waypoint_km": 12415.5, + "detour_km": 9547.1, + "detour_percent": 332.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Rongai", + " End: Siyabuswa", + " Waypoint: Rutigliano", + "Step 2: Calculate direct distance", + " Start → End: 2868.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12415.5 km", + "Step 4: Calculate detour", + " Detour = 12415.5 - 2868.4 = 9547.1 km", + " Detour % = (9547.1 / 2868.4) × 100 = 332.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 332.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -15.62139, + "lon": -58.17639, + "name": "São José dos Quatro Marcos" + }, + "end": { + "lat": 33.47739, + "lon": -7.93641, + "name": "Sidi Rahal" + }, + "waypoint": { + "lat": 47.37752, + "lon": 8.52127, + "name": "Zürich (Kreis 4) / Aussersihl" + }, + "question": "Is Zürich (Kreis 4) / Aussersihl approximately on the direct path from São José dos Quatro Marcos to Sidi Rahal?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7625.6, + "via_waypoint_km": 11698.2, + "detour_km": 4072.6, + "detour_percent": 53.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: São José dos Quatro Marcos", + " End: Sidi Rahal", + " Waypoint: Zürich (Kreis 4) / Aussersihl", + "Step 2: Calculate direct distance", + " Start → End: 7625.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11698.2 km", + "Step 4: Calculate detour", + " Detour = 11698.2 - 7625.6 = 4072.6 km", + " Detour % = (4072.6 / 7625.6) × 100 = 53.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 53.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -33.963, + "lon": 22.46173, + "name": "George" + }, + "end": { + "lat": -0.95312, + "lon": -79.35513, + "name": "Valencia" + }, + "waypoint": { + "lat": 21.10743, + "lon": 82.0948, + "name": "Mahāsamund" + }, + "question": "Is Mahāsamund approximately on the direct path from George to Valencia?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11034.7, + "via_waypoint_km": 25792.8, + "detour_km": 14758.1, + "detour_percent": 133.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: George", + " End: Valencia", + " Waypoint: Mahāsamund", + "Step 2: Calculate direct distance", + " Start → End: 11034.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25792.8 km", + "Step 4: Calculate detour", + " Detour = 25792.8 - 11034.7 = 14758.1 km", + " Detour % = (14758.1 / 11034.7) × 100 = 133.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 133.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.82019, + "lon": 7.71641, + "name": "Sidi Amar" + }, + "end": { + "lat": -7.75938, + "lon": 15.2722, + "name": "Negage" + }, + "waypoint": { + "lat": 35.222, + "lon": -101.8313, + "name": "Amarillo" + }, + "question": "Is Amarillo approximately on the direct path from Sidi Amar to Negage?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5019.2, + "via_waypoint_km": 22154.7, + "detour_km": 17135.5, + "detour_percent": 341.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sidi Amar", + " End: Negage", + " Waypoint: Amarillo", + "Step 2: Calculate direct distance", + " Start → End: 5019.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22154.7 km", + "Step 4: Calculate detour", + " Detour = 22154.7 - 5019.2 = 17135.5 km", + " Detour % = (17135.5 / 5019.2) × 100 = 341.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 341.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 12.66052, + "lon": 79.54308, + "name": "Cheyyar" + }, + "end": { + "lat": 34.1089, + "lon": 46.52988, + "name": "Eslāmābād-e Gharb" + }, + "waypoint": { + "lat": 9.7174, + "lon": -75.12023, + "name": "El Carmen de Bolívar" + }, + "question": "Is El Carmen de Bolívar approximately on the direct path from Cheyyar to Eslāmābād-e Gharb?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4096.4, + "via_waypoint_km": 28444.8, + "detour_km": 24348.4, + "detour_percent": 594.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Cheyyar", + " End: Eslāmābād-e Gharb", + " Waypoint: El Carmen de Bolívar", + "Step 2: Calculate direct distance", + " Start → End: 4096.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 28444.8 km", + "Step 4: Calculate detour", + " Detour = 28444.8 - 4096.4 = 24348.4 km", + " Detour % = (24348.4 / 4096.4) × 100 = 594.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 594.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 44.40011, + "lon": -79.66634, + "name": "Barrie" + }, + "end": { + "lat": 28.24418, + "lon": -82.71927, + "name": "New Port Richey" + }, + "waypoint": { + "lat": 6.55504, + "lon": 3.34363, + "name": "Oshodi" + }, + "question": "Is Oshodi approximately on the direct path from Barrie to New Port Richey?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1816.8, + "via_waypoint_km": 18222.3, + "detour_km": 16405.5, + "detour_percent": 903.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Barrie", + " End: New Port Richey", + " Waypoint: Oshodi", + "Step 2: Calculate direct distance", + " Start → End: 1816.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18222.3 km", + "Step 4: Calculate detour", + " Detour = 18222.3 - 1816.8 = 16405.5 km", + " Detour % = (16405.5 / 1816.8) × 100 = 903.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 903.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 52.95929, + "lon": 5.91854, + "name": "Heerenveen" + }, + "end": { + "lat": 37.16887, + "lon": -4.15129, + "name": "Loja" + }, + "waypoint": { + "lat": 53.77464, + "lon": 15.77671, + "name": "Świdwin" + }, + "question": "Is Świdwin approximately on the direct path from Heerenveen to Loja?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1921.4, + "via_waypoint_km": 3056.0, + "detour_km": 1134.7, + "detour_percent": 59.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Heerenveen", + " End: Loja", + " Waypoint: Świdwin", + "Step 2: Calculate direct distance", + " Start → End: 1921.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 3056.0 km", + "Step 4: Calculate detour", + " Detour = 3056.0 - 1921.4 = 1134.7 km", + " Detour % = (1134.7 / 1921.4) × 100 = 59.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 59.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 5.27247, + "lon": -3.59625, + "name": "Bonoua" + }, + "end": { + "lat": 55.63755, + "lon": 37.76438, + "name": "Brateyevo" + }, + "waypoint": { + "lat": 4.2323, + "lon": 100.6298, + "name": "Lumut" + }, + "question": "Is Lumut approximately on the direct path from Bonoua to Brateyevo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6688.6, + "via_waypoint_km": 19481.8, + "detour_km": 12793.2, + "detour_percent": 191.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bonoua", + " End: Brateyevo", + " Waypoint: Lumut", + "Step 2: Calculate direct distance", + " Start → End: 6688.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19481.8 km", + "Step 4: Calculate detour", + " Detour = 19481.8 - 6688.6 = 12793.2 km", + " Detour % = (12793.2 / 6688.6) × 100 = 191.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 191.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -8.23619, + "lon": 19.52566, + "name": "Cuilo" + }, + "end": { + "lat": 52.60783, + "lon": 8.37005, + "name": "Diepholz" + }, + "waypoint": { + "lat": -21.97556, + "lon": -45.35028, + "name": "Lambari" + }, + "question": "Is Lambari approximately on the direct path from Cuilo to Diepholz?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6848.1, + "via_waypoint_km": 16860.3, + "detour_km": 10012.2, + "detour_percent": 146.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Cuilo", + " End: Diepholz", + " Waypoint: Lambari", + "Step 2: Calculate direct distance", + " Start → End: 6848.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16860.3 km", + "Step 4: Calculate detour", + " Detour = 16860.3 - 6848.1 = 10012.2 km", + " Detour % = (10012.2 / 6848.1) × 100 = 146.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 146.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 14.33505, + "lon": -91.02339, + "name": "Santa Lucía Cotzumalguapa" + }, + "end": { + "lat": 21.15313, + "lon": 79.0076, + "name": "Wāri" + }, + "waypoint": { + "lat": -38.76081, + "lon": -72.5982, + "name": "Padre Las Casas" + }, + "question": "Is Padre Las Casas approximately on the direct path from Santa Lucía Cotzumalguapa to Wāri?", + "ground_truth": { + "answer": false, + "direct_distance_km": 15921.6, + "via_waypoint_km": 22881.9, + "detour_km": 6960.2, + "detour_percent": 43.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Santa Lucía Cotzumalguapa", + " End: Wāri", + " Waypoint: Padre Las Casas", + "Step 2: Calculate direct distance", + " Start → End: 15921.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22881.9 km", + "Step 4: Calculate detour", + " Detour = 22881.9 - 15921.6 = 6960.2 km", + " Detour % = (6960.2 / 15921.6) × 100 = 43.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 43.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 42.44732, + "lon": -71.2245, + "name": "Lexington" + }, + "end": { + "lat": 23.74061, + "lon": -99.14364, + "name": "Ciudad Victoria" + }, + "waypoint": { + "lat": -9.76667, + "lon": 37.93333, + "name": "Liwale" + }, + "question": "Is Liwale approximately on the direct path from Lexington to Ciudad Victoria?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3303.5, + "via_waypoint_km": 27517.6, + "detour_km": 24214.2, + "detour_percent": 733.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Lexington", + " End: Ciudad Victoria", + " Waypoint: Liwale", + "Step 2: Calculate direct distance", + " Start → End: 3303.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27517.6 km", + "Step 4: Calculate detour", + " Detour = 27517.6 - 3303.5 = 24214.2 km", + " Detour % = (24214.2 / 3303.5) × 100 = 733.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 733.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 5.56054, + "lon": -6.58997, + "name": "Oupoyo" + }, + "end": { + "lat": 20.93453, + "lon": 85.18788, + "name": "Ghantapada" + }, + "waypoint": { + "lat": 7.76593, + "lon": -72.23576, + "name": "San Cristóbal" + }, + "question": "Is San Cristóbal approximately on the direct path from Oupoyo to Ghantapada?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9970.7, + "via_waypoint_km": 23229.6, + "detour_km": 13258.9, + "detour_percent": 133.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Oupoyo", + " End: Ghantapada", + " Waypoint: San Cristóbal", + "Step 2: Calculate direct distance", + " Start → End: 9970.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23229.6 km", + "Step 4: Calculate detour", + " Detour = 23229.6 - 9970.7 = 13258.9 km", + " Detour % = (13258.9 / 9970.7) × 100 = 133.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 133.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -33.73333, + "lon": 150.88333, + "name": "Quakers Hill" + }, + "end": { + "lat": 51.49607, + "lon": 9.385, + "name": "Hofgeismar" + }, + "waypoint": { + "lat": 6.45197, + "lon": 3.33115, + "name": "Ajegunle" + }, + "question": "Is Ajegunle approximately on the direct path from Quakers Hill to Hofgeismar?", + "ground_truth": { + "answer": false, + "direct_distance_km": 16358.5, + "via_waypoint_km": 20545.0, + "detour_km": 4186.5, + "detour_percent": 25.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Quakers Hill", + " End: Hofgeismar", + " Waypoint: Ajegunle", + "Step 2: Calculate direct distance", + " Start → End: 16358.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20545.0 km", + "Step 4: Calculate detour", + " Detour = 20545.0 - 16358.5 = 4186.5 km", + " Detour % = (4186.5 / 16358.5) × 100 = 25.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 25.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -18.91368, + "lon": 47.53613, + "name": "Antananarivo" + }, + "end": { + "lat": -8.7, + "lon": 34.38333, + "name": "Rujewa" + }, + "waypoint": { + "lat": 48.92161, + "lon": 2.19263, + "name": "Houilles" + }, + "question": "Is Houilles approximately on the direct path from Antananarivo to Rujewa?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1816.6, + "via_waypoint_km": 15908.7, + "detour_km": 14092.1, + "detour_percent": 775.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Antananarivo", + " End: Rujewa", + " Waypoint: Houilles", + "Step 2: Calculate direct distance", + " Start → End: 1816.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15908.7 km", + "Step 4: Calculate detour", + " Detour = 15908.7 - 1816.6 = 14092.1 km", + " Detour % = (14092.1 / 1816.6) × 100 = 775.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 775.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 9.96548, + "lon": -84.0182, + "name": "Ipís" + }, + "end": { + "lat": -6.34379, + "lon": 31.06951, + "name": "Mpanda" + }, + "waypoint": { + "lat": 46.30794, + "lon": 44.25537, + "name": "Elista" + }, + "question": "Is Elista approximately on the direct path from Ipís to Mpanda?", + "ground_truth": { + "answer": false, + "direct_distance_km": 12868.9, + "via_waypoint_km": 17922.5, + "detour_km": 5053.6, + "detour_percent": 39.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ipís", + " End: Mpanda", + " Waypoint: Elista", + "Step 2: Calculate direct distance", + " Start → End: 12868.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17922.5 km", + "Step 4: Calculate detour", + " Detour = 17922.5 - 12868.9 = 5053.6 km", + " Detour % = (5053.6 / 12868.9) × 100 = 39.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 39.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -1.22511, + "lon": 34.46385, + "name": "Isebania" + }, + "end": { + "lat": 22.19073, + "lon": 69.96351, + "name": "Lālpur" + }, + "waypoint": { + "lat": 40.68038, + "lon": -73.45512, + "name": "Massapequa Park" + }, + "question": "Is Massapequa Park approximately on the direct path from Isebania to Lālpur?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4647.0, + "via_waypoint_km": 23666.1, + "detour_km": 19019.1, + "detour_percent": 409.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Isebania", + " End: Lālpur", + " Waypoint: Massapequa Park", + "Step 2: Calculate direct distance", + " Start → End: 4647.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23666.1 km", + "Step 4: Calculate detour", + " Detour = 23666.1 - 4647.0 = 19019.1 km", + " Detour % = (19019.1 / 4647.0) × 100 = 409.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 409.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -37.79117, + "lon": 144.81637, + "name": "Sunshine West" + }, + "end": { + "lat": 52.22904, + "lon": 21.01644, + "name": "Śródmieście" + }, + "waypoint": { + "lat": 40.41628, + "lon": -120.65301, + "name": "Susanville" + }, + "question": "Is Susanville approximately on the direct path from Sunshine West to Śródmieście?", + "ground_truth": { + "answer": false, + "direct_distance_km": 15445.8, + "via_waypoint_km": 22014.1, + "detour_km": 6568.3, + "detour_percent": 42.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sunshine West", + " End: Śródmieście", + " Waypoint: Susanville", + "Step 2: Calculate direct distance", + " Start → End: 15445.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22014.1 km", + "Step 4: Calculate detour", + " Detour = 22014.1 - 15445.8 = 6568.3 km", + " Detour % = (6568.3 / 15445.8) × 100 = 42.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 42.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 49.83826, + "lon": 24.02324, + "name": "Lviv" + }, + "end": { + "lat": 59.32938, + "lon": 18.06871, + "name": "Stockholm" + }, + "waypoint": { + "lat": 8.26023, + "lon": 77.17396, + "name": "Painkulam" + }, + "question": "Is Painkulam approximately on the direct path from Lviv to Stockholm?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1121.9, + "via_waypoint_km": 14231.3, + "detour_km": 13109.4, + "detour_percent": 1168.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Lviv", + " End: Stockholm", + " Waypoint: Painkulam", + "Step 2: Calculate direct distance", + " Start → End: 1121.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14231.3 km", + "Step 4: Calculate detour", + " Detour = 14231.3 - 1121.9 = 13109.4 km", + " Detour % = (13109.4 / 1121.9) × 100 = 1168.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1168.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -12.74056, + "lon": -60.14583, + "name": "Vilhena" + }, + "end": { + "lat": -1.36556, + "lon": -48.37222, + "name": "Ananindeua" + }, + "waypoint": { + "lat": -2.70924, + "lon": -80.24719, + "name": "Posorja" + }, + "question": "Is Posorja approximately on the direct path from Vilhena to Ananindeua?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1811.6, + "via_waypoint_km": 6022.1, + "detour_km": 4210.5, + "detour_percent": 232.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Vilhena", + " End: Ananindeua", + " Waypoint: Posorja", + "Step 2: Calculate direct distance", + " Start → End: 1811.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 6022.1 km", + "Step 4: Calculate detour", + " Detour = 6022.1 - 1811.6 = 4210.5 km", + " Detour % = (4210.5 / 1811.6) × 100 = 232.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 232.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 29.38242, + "lon": 70.91106, + "name": "Alipur" + }, + "end": { + "lat": 41.39317, + "lon": 2.00689, + "name": "Sant Vicenç dels Horts" + }, + "waypoint": { + "lat": 42.38028, + "lon": 20.43083, + "name": "Gjakovë" + }, + "question": "Is Gjakovë approximately on the direct path from Alipur to Sant Vicenç dels Horts?", + "ground_truth": { + "answer": true, + "direct_distance_km": 6223.0, + "via_waypoint_km": 6223.2, + "detour_km": 0.2, + "detour_percent": 0.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Alipur", + " End: Sant Vicenç dels Horts", + " Waypoint: Gjakovë", + "Step 2: Calculate direct distance", + " Start → End: 6223.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 6223.2 km", + "Step 4: Calculate detour", + " Detour = 6223.2 - 6223.0 = 0.2 km", + " Detour % = (0.2 / 6223.0) × 100 = 0.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.0% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 50.4198, + "lon": 2.78068, + "name": "Liévin" + }, + "end": { + "lat": 28.6678, + "lon": 77.02011, + "name": "Bakarwāla" + }, + "waypoint": { + "lat": 43.08056, + "lon": 40.83833, + "name": "Stantsiya Novyy Afon" + }, + "question": "Is Stantsiya Novyy Afon approximately on the direct path from Liévin to Bakarwāla?", + "ground_truth": { + "answer": true, + "direct_distance_km": 6511.7, + "via_waypoint_km": 6571.6, + "detour_km": 59.9, + "detour_percent": 0.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Liévin", + " End: Bakarwāla", + " Waypoint: Stantsiya Novyy Afon", + "Step 2: Calculate direct distance", + " Start → End: 6511.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 6571.6 km", + "Step 4: Calculate detour", + " Detour = 6571.6 - 6511.7 = 59.9 km", + " Detour % = (59.9 / 6511.7) × 100 = 0.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.9% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 25.69893, + "lon": 32.6421, + "name": "Luxor" + }, + "end": { + "lat": 41.84843, + "lon": 3.12912, + "name": "Palamós" + }, + "waypoint": { + "lat": 56.50718, + "lon": 56.07707, + "name": "Chernushka" + }, + "question": "Is Chernushka approximately on the direct path from Luxor to Palamós?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3240.1, + "via_waypoint_km": 7962.4, + "detour_km": 4722.3, + "detour_percent": 145.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Luxor", + " End: Palamós", + " Waypoint: Chernushka", + "Step 2: Calculate direct distance", + " Start → End: 3240.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 7962.4 km", + "Step 4: Calculate detour", + " Detour = 7962.4 - 3240.1 = 4722.3 km", + " Detour % = (4722.3 / 3240.1) × 100 = 145.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 145.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 32.44879, + "lon": -81.78317, + "name": "Statesboro" + }, + "end": { + "lat": 47.29323, + "lon": 5.00457, + "name": "Chenôve" + }, + "waypoint": { + "lat": -30.89083, + "lon": -55.53278, + "name": "Sant'Ana do Livramento" + }, + "question": "Is Sant'Ana do Livramento approximately on the direct path from Statesboro to Chenôve?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7201.5, + "via_waypoint_km": 18153.3, + "detour_km": 10951.9, + "detour_percent": 152.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Statesboro", + " End: Chenôve", + " Waypoint: Sant'Ana do Livramento", + "Step 2: Calculate direct distance", + " Start → End: 7201.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18153.3 km", + "Step 4: Calculate detour", + " Detour = 18153.3 - 7201.5 = 10951.9 km", + " Detour % = (10951.9 / 7201.5) × 100 = 152.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 152.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -12.48602, + "lon": 130.9833, + "name": "Palmerston" + }, + "end": { + "lat": -37.88413, + "lon": 144.78367, + "name": "Altona Meadows" + }, + "waypoint": { + "lat": 24.88373, + "lon": 121.29043, + "name": "Daxi" + }, + "question": "Is Daxi approximately on the direct path from Palmerston to Altona Meadows?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3138.4, + "via_waypoint_km": 11684.2, + "detour_km": 8545.9, + "detour_percent": 272.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Palmerston", + " End: Altona Meadows", + " Waypoint: Daxi", + "Step 2: Calculate direct distance", + " Start → End: 3138.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11684.2 km", + "Step 4: Calculate detour", + " Detour = 11684.2 - 3138.4 = 8545.9 km", + " Detour % = (8545.9 / 3138.4) × 100 = 272.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 272.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -17.01009, + "lon": 48.57313, + "name": "Andilamena" + }, + "end": { + "lat": 41.23671, + "lon": -8.52454, + "name": "Alfena" + }, + "waypoint": { + "lat": 49.45981, + "lon": -2.53527, + "name": "Saint Peter Port" + }, + "question": "Is Saint Peter Port approximately on the direct path from Andilamena to Alfena?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8739.1, + "via_waypoint_km": 9959.0, + "detour_km": 1219.9, + "detour_percent": 14.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Andilamena", + " End: Alfena", + " Waypoint: Saint Peter Port", + "Step 2: Calculate direct distance", + " Start → End: 8739.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9959.0 km", + "Step 4: Calculate detour", + " Detour = 9959.0 - 8739.1 = 1219.9 km", + " Detour % = (1219.9 / 8739.1) × 100 = 14.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 14.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 29.03556, + "lon": 31.11792, + "name": "New Bani Sewif City" + }, + "end": { + "lat": -12.78339, + "lon": 45.25693, + "name": "Dzaoudzi" + }, + "waypoint": { + "lat": 5.35113, + "lon": -0.62313, + "name": "Winneba" + }, + "question": "Is Winneba approximately on the direct path from New Bani Sewif City to Dzaoudzi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4891.8, + "via_waypoint_km": 9705.4, + "detour_km": 4813.6, + "detour_percent": 98.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: New Bani Sewif City", + " End: Dzaoudzi", + " Waypoint: Winneba", + "Step 2: Calculate direct distance", + " Start → End: 4891.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9705.4 km", + "Step 4: Calculate detour", + " Detour = 9705.4 - 4891.8 = 4813.6 km", + " Detour % = (4813.6 / 4891.8) × 100 = 98.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 98.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 53.01907, + "lon": 20.88029, + "name": "Przasnysz" + }, + "end": { + "lat": 42.04, + "lon": 21.425, + "name": "Šuto Orizare" + }, + "waypoint": { + "lat": 32.42968, + "lon": 74.3635, + "name": "Bhopalwala" + }, + "question": "Is Bhopalwala approximately on the direct path from Przasnysz to Šuto Orizare?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1221.5, + "via_waypoint_km": 9518.5, + "detour_km": 8297.0, + "detour_percent": 679.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Przasnysz", + " End: Šuto Orizare", + " Waypoint: Bhopalwala", + "Step 2: Calculate direct distance", + " Start → End: 1221.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9518.5 km", + "Step 4: Calculate detour", + " Detour = 9518.5 - 1221.5 = 8297.0 km", + " Detour % = (8297.0 / 1221.5) × 100 = 679.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 679.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 31.19688, + "lon": 31.5243, + "name": "Shirbīn" + }, + "end": { + "lat": -24.7718, + "lon": 25.42156, + "name": "Mosopa" + }, + "waypoint": { + "lat": 51.98, + "lon": 5.91111, + "name": "Arnhem" + }, + "question": "Is Arnhem approximately on the direct path from Shirbīn to Mosopa?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6257.2, + "via_waypoint_km": 11854.4, + "detour_km": 5597.2, + "detour_percent": 89.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Shirbīn", + " End: Mosopa", + " Waypoint: Arnhem", + "Step 2: Calculate direct distance", + " Start → End: 6257.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11854.4 km", + "Step 4: Calculate detour", + " Detour = 11854.4 - 6257.2 = 5597.2 km", + " Detour % = (5597.2 / 6257.2) × 100 = 89.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 89.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 48.87992, + "lon": 2.42057, + "name": "Les Lilas" + }, + "end": { + "lat": 8.55, + "lon": 39.26667, + "name": "Nazrēt" + }, + "waypoint": { + "lat": 31.23913, + "lon": 121.36779, + "name": "Changzheng" + }, + "question": "Is Changzheng approximately on the direct path from Les Lilas to Nazrēt?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5645.4, + "via_waypoint_km": 18018.8, + "detour_km": 12373.4, + "detour_percent": 219.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Les Lilas", + " End: Nazrēt", + " Waypoint: Changzheng", + "Step 2: Calculate direct distance", + " Start → End: 5645.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18018.8 km", + "Step 4: Calculate detour", + " Detour = 18018.8 - 5645.4 = 12373.4 km", + " Detour % = (12373.4 / 5645.4) × 100 = 219.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 219.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -11.33333, + "lon": -38.96667, + "name": "Araci" + }, + "end": { + "lat": 34.15166, + "lon": 135.21398, + "name": "Kainan" + }, + "waypoint": { + "lat": 38.45647, + "lon": -82.69238, + "name": "Ironville" + }, + "question": "Is Ironville approximately on the direct path from Araci to Kainan?", + "ground_truth": { + "answer": true, + "direct_distance_km": 17410.0, + "via_waypoint_km": 18202.4, + "detour_km": 792.4, + "detour_percent": 4.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Araci", + " End: Kainan", + " Waypoint: Ironville", + "Step 2: Calculate direct distance", + " Start → End: 17410.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18202.4 km", + "Step 4: Calculate detour", + " Detour = 18202.4 - 17410.0 = 792.4 km", + " Detour % = (792.4 / 17410.0) × 100 = 4.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 4.6% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 30.00354, + "lon": -91.81873, + "name": "New Iberia" + }, + "end": { + "lat": 11.12026, + "lon": 77.78811, + "name": "Sivagiri" + }, + "waypoint": { + "lat": 42.56335, + "lon": 12.64329, + "name": "Terni" + }, + "question": "Is Terni approximately on the direct path from New Iberia to Sivagiri?", + "ground_truth": { + "answer": true, + "direct_distance_km": 15308.9, + "via_waypoint_km": 16007.1, + "detour_km": 698.2, + "detour_percent": 4.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: New Iberia", + " End: Sivagiri", + " Waypoint: Terni", + "Step 2: Calculate direct distance", + " Start → End: 15308.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16007.1 km", + "Step 4: Calculate detour", + " Detour = 16007.1 - 15308.9 = 698.2 km", + " Detour % = (698.2 / 15308.9) × 100 = 4.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 4.6% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 25.46872, + "lon": -80.47756, + "name": "Homestead" + }, + "end": { + "lat": 5.71044, + "lon": 6.80936, + "name": "Oguta" + }, + "waypoint": { + "lat": 35.71842, + "lon": 52.06958, + "name": "Damāvand" + }, + "question": "Is Damāvand approximately on the direct path from Homestead to Oguta?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9463.4, + "via_waypoint_km": 17274.0, + "detour_km": 7810.6, + "detour_percent": 82.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Homestead", + " End: Oguta", + " Waypoint: Damāvand", + "Step 2: Calculate direct distance", + " Start → End: 9463.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17274.0 km", + "Step 4: Calculate detour", + " Detour = 17274.0 - 9463.4 = 7810.6 km", + " Detour % = (7810.6 / 9463.4) × 100 = 82.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 82.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -39.06667, + "lon": 174.08333, + "name": "New Plymouth" + }, + "end": { + "lat": 1.8681, + "lon": 103.1124, + "name": "Parit Raja" + }, + "waypoint": { + "lat": 53.5792, + "lon": 9.99064, + "name": "Harvestehude" + }, + "question": "Is Harvestehude approximately on the direct path from New Plymouth to Parit Raja?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8512.8, + "via_waypoint_km": 28047.2, + "detour_km": 19534.4, + "detour_percent": 229.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: New Plymouth", + " End: Parit Raja", + " Waypoint: Harvestehude", + "Step 2: Calculate direct distance", + " Start → End: 8512.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 28047.2 km", + "Step 4: Calculate detour", + " Detour = 28047.2 - 8512.8 = 19534.4 km", + " Detour % = (19534.4 / 8512.8) × 100 = 229.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 229.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -10.34472, + "lon": -39.83556, + "name": "Andorinha" + }, + "end": { + "lat": 32.15934, + "lon": 34.8932, + "name": "Hod HaSharon" + }, + "waypoint": { + "lat": 36.06667, + "lon": 139.6, + "name": "Shōbu" + }, + "question": "Is Shōbu approximately on the direct path from Andorinha to Hod HaSharon?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9217.0, + "via_waypoint_km": 26269.4, + "detour_km": 17052.4, + "detour_percent": 185.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Andorinha", + " End: Hod HaSharon", + " Waypoint: Shōbu", + "Step 2: Calculate direct distance", + " Start → End: 9217.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26269.4 km", + "Step 4: Calculate detour", + " Detour = 26269.4 - 9217.0 = 17052.4 km", + " Detour % = (17052.4 / 9217.0) × 100 = 185.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 185.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 6.31933, + "lon": 16.37992, + "name": "Bozoum" + }, + "end": { + "lat": 39.9936, + "lon": -105.08971, + "name": "Lafayette" + }, + "waypoint": { + "lat": -5.40232, + "lon": -80.74224, + "name": "La Unión" + }, + "question": "Is La Unión approximately on the direct path from Bozoum to Lafayette?", + "ground_truth": { + "answer": false, + "direct_distance_km": 12128.4, + "via_waypoint_km": 16487.1, + "detour_km": 4358.8, + "detour_percent": 35.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bozoum", + " End: Lafayette", + " Waypoint: La Unión", + "Step 2: Calculate direct distance", + " Start → End: 12128.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16487.1 km", + "Step 4: Calculate detour", + " Detour = 16487.1 - 12128.4 = 4358.8 km", + " Detour % = (4358.8 / 12128.4) × 100 = 35.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 35.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 44.07926, + "lon": 10.09789, + "name": "Carrara" + }, + "end": { + "lat": -17.16639, + "lon": -40.33, + "name": "Itanhém" + }, + "waypoint": { + "lat": 33.68318, + "lon": 1.01927, + "name": "El Bayadh" + }, + "question": "Is El Bayadh approximately on the direct path from Carrara to Itanhém?", + "ground_truth": { + "answer": true, + "direct_distance_km": 8516.3, + "via_waypoint_km": 8549.3, + "detour_km": 33.0, + "detour_percent": 0.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Carrara", + " End: Itanhém", + " Waypoint: El Bayadh", + "Step 2: Calculate direct distance", + " Start → End: 8516.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 8549.3 km", + "Step 4: Calculate detour", + " Detour = 8549.3 - 8516.3 = 33.0 km", + " Detour % = (33.0 / 8516.3) × 100 = 0.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.4% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.89288, + "lon": -73.97264, + "name": "Englewood" + }, + "end": { + "lat": -33.79176, + "lon": 151.08057, + "name": "Eastwood" + }, + "waypoint": { + "lat": -25.51626, + "lon": -48.52537, + "name": "Paranaguá" + }, + "question": "Is Paranaguá approximately on the direct path from Englewood to Eastwood?", + "ground_truth": { + "answer": false, + "direct_distance_km": 16000.1, + "via_waypoint_km": 20940.6, + "detour_km": 4940.5, + "detour_percent": 30.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Englewood", + " End: Eastwood", + " Waypoint: Paranaguá", + "Step 2: Calculate direct distance", + " Start → End: 16000.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20940.6 km", + "Step 4: Calculate detour", + " Detour = 20940.6 - 16000.1 = 4940.5 km", + " Detour % = (4940.5 / 16000.1) × 100 = 30.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 30.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 7.22097, + "lon": 2.34017, + "name": "Cové" + }, + "end": { + "lat": 25.41117, + "lon": 86.65925, + "name": "Gogri Jamālpur" + }, + "waypoint": { + "lat": 27.14872, + "lon": 79.50078, + "name": "Chhibrāmau" + }, + "question": "Is Chhibrāmau approximately on the direct path from Cové to Gogri Jamālpur?", + "ground_truth": { + "answer": true, + "direct_distance_km": 9095.7, + "via_waypoint_km": 9113.8, + "detour_km": 18.1, + "detour_percent": 0.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Cové", + " End: Gogri Jamālpur", + " Waypoint: Chhibrāmau", + "Step 2: Calculate direct distance", + " Start → End: 9095.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9113.8 km", + "Step 4: Calculate detour", + " Detour = 9113.8 - 9095.7 = 18.1 km", + " Detour % = (18.1 / 9095.7) × 100 = 0.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.2% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 8.56688, + "lon": 76.99129, + "name": "Kidarakulam" + }, + "end": { + "lat": -28.02333, + "lon": -48.61333, + "name": "Garopaba" + }, + "waypoint": { + "lat": 5.6882, + "lon": -6.0712, + "name": "Guéyo" + }, + "question": "Is Guéyo approximately on the direct path from Kidarakulam to Garopaba?", + "ground_truth": { + "answer": true, + "direct_distance_km": 13935.3, + "via_waypoint_km": 15056.5, + "detour_km": 1121.2, + "detour_percent": 8.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kidarakulam", + " End: Garopaba", + " Waypoint: Guéyo", + "Step 2: Calculate direct distance", + " Start → End: 13935.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15056.5 km", + "Step 4: Calculate detour", + " Detour = 15056.5 - 13935.3 = 1121.2 km", + " Detour % = (1121.2 / 13935.3) × 100 = 8.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 8.0% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.83864, + "lon": 12.24555, + "name": "Dessau" + }, + "end": { + "lat": 22.57817, + "lon": 100.26925, + "name": "Nuozhadu" + }, + "waypoint": { + "lat": 5.4685, + "lon": 9.8818, + "name": "Fontem" + }, + "question": "Is Fontem approximately on the direct path from Dessau to Nuozhadu?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7921.8, + "via_waypoint_km": 14974.7, + "detour_km": 7052.9, + "detour_percent": 89.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Dessau", + " End: Nuozhadu", + " Waypoint: Fontem", + "Step 2: Calculate direct distance", + " Start → End: 7921.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14974.7 km", + "Step 4: Calculate detour", + " Detour = 14974.7 - 7921.8 = 7052.9 km", + " Detour % = (7052.9 / 7921.8) × 100 = 89.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 89.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 37.91033, + "lon": 23.72361, + "name": "Álimos" + }, + "end": { + "lat": 50.83868, + "lon": 7.21399, + "name": "Lohmar" + }, + "waypoint": { + "lat": -3.55, + "lon": 36.1, + "name": "Makuyuni" + }, + "question": "Is Makuyuni approximately on the direct path from Álimos to Lohmar?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1937.6, + "via_waypoint_km": 11426.9, + "detour_km": 9489.3, + "detour_percent": 489.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Álimos", + " End: Lohmar", + " Waypoint: Makuyuni", + "Step 2: Calculate direct distance", + " Start → End: 1937.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11426.9 km", + "Step 4: Calculate detour", + " Detour = 11426.9 - 1937.6 = 9489.3 km", + " Detour % = (9489.3 / 1937.6) × 100 = 489.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 489.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 34.66944, + "lon": 117.00833, + "name": "Huzhai" + }, + "end": { + "lat": -23.55083, + "lon": -51.46083, + "name": "Apucarana" + }, + "waypoint": { + "lat": 46.87386, + "lon": -96.76951, + "name": "Moorhead" + }, + "question": "Is Moorhead approximately on the direct path from Huzhai to Apucarana?", + "ground_truth": { + "answer": true, + "direct_distance_km": 18349.3, + "via_waypoint_km": 19394.0, + "detour_km": 1044.7, + "detour_percent": 5.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Huzhai", + " End: Apucarana", + " Waypoint: Moorhead", + "Step 2: Calculate direct distance", + " Start → End: 18349.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19394.0 km", + "Step 4: Calculate detour", + " Detour = 19394.0 - 18349.3 = 1044.7 km", + " Detour % = (1044.7 / 18349.3) × 100 = 5.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 5.7% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 35.68184, + "lon": 140.04152, + "name": "Narashino" + }, + "end": { + "lat": 26.49471, + "lon": 78.61593, + "name": "Mahgawān" + }, + "waypoint": { + "lat": 44.69776, + "lon": 7.85128, + "name": "Bra" + }, + "question": "Is Bra approximately on the direct path from Narashino to Mahgawān?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5844.5, + "via_waypoint_km": 16362.6, + "detour_km": 10518.1, + "detour_percent": 180.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Narashino", + " End: Mahgawān", + " Waypoint: Bra", + "Step 2: Calculate direct distance", + " Start → End: 5844.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16362.6 km", + "Step 4: Calculate detour", + " Detour = 16362.6 - 5844.5 = 10518.1 km", + " Detour % = (10518.1 / 5844.5) × 100 = 180.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 180.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 31.21468, + "lon": 75.19602, + "name": "Sultanpur" + }, + "end": { + "lat": 27.10383, + "lon": 84.46185, + "name": "Narkatiāganj" + }, + "waypoint": { + "lat": 50.78215, + "lon": 14.21478, + "name": "Děčín" + }, + "question": "Is Děčín approximately on the direct path from Sultanpur to Narkatiāganj?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1008.7, + "via_waypoint_km": 11731.8, + "detour_km": 10723.1, + "detour_percent": 1063.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sultanpur", + " End: Narkatiāganj", + " Waypoint: Děčín", + "Step 2: Calculate direct distance", + " Start → End: 1008.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11731.8 km", + "Step 4: Calculate detour", + " Detour = 11731.8 - 1008.7 = 10723.1 km", + " Detour % = (10723.1 / 1008.7) × 100 = 1063.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1063.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 14.76667, + "lon": -16.7, + "name": "Kbombole" + }, + "end": { + "lat": 3.86781, + "lon": 17.98923, + "name": "Mbaïki" + }, + "waypoint": { + "lat": 56.09254, + "lon": 49.87819, + "name": "Arsk" + }, + "question": "Is Arsk approximately on the direct path from Kbombole to Mbaïki?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3987.2, + "via_waypoint_km": 13663.7, + "detour_km": 9676.5, + "detour_percent": 242.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kbombole", + " End: Mbaïki", + " Waypoint: Arsk", + "Step 2: Calculate direct distance", + " Start → End: 3987.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13663.7 km", + "Step 4: Calculate detour", + " Detour = 13663.7 - 3987.2 = 9676.5 km", + " Detour % = (9676.5 / 3987.2) × 100 = 242.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 242.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.74705, + "lon": -73.86014, + "name": "Corona" + }, + "end": { + "lat": 45.54422, + "lon": 3.24901, + "name": "Issoire" + }, + "waypoint": { + "lat": -36.90694, + "lon": 174.68704, + "name": "New Lynn" + }, + "question": "Is New Lynn approximately on the direct path from Corona to Issoire?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6032.1, + "via_waypoint_km": 33034.3, + "detour_km": 27002.2, + "detour_percent": 447.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Corona", + " End: Issoire", + " Waypoint: New Lynn", + "Step 2: Calculate direct distance", + " Start → End: 6032.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 33034.3 km", + "Step 4: Calculate detour", + " Detour = 33034.3 - 6032.1 = 27002.2 km", + " Detour % = (27002.2 / 6032.1) × 100 = 447.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 447.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 34.95889, + "lon": 105.33611, + "name": "Dazhuang" + }, + "end": { + "lat": 37.65042, + "lon": -77.61249, + "name": "Short Pump" + }, + "waypoint": { + "lat": -20.44333, + "lon": -44.76583, + "name": "Cláudio" + }, + "question": "Is Cláudio approximately on the direct path from Dazhuang to Short Pump?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11935.6, + "via_waypoint_km": 23994.0, + "detour_km": 12058.4, + "detour_percent": 101.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Dazhuang", + " End: Short Pump", + " Waypoint: Cláudio", + "Step 2: Calculate direct distance", + " Start → End: 11935.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23994.0 km", + "Step 4: Calculate detour", + " Detour = 23994.0 - 11935.6 = 12058.4 km", + " Detour % = (12058.4 / 11935.6) × 100 = 101.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 101.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 0.18333, + "lon": 27.48333, + "name": "Babamba" + }, + "end": { + "lat": 34.25, + "lon": 135.31667, + "name": "Iwade" + }, + "waypoint": { + "lat": 35.95064, + "lon": 14.41561, + "name": "San Pawl il-Baħar" + }, + "question": "Is San Pawl il-Baħar approximately on the direct path from Babamba to Iwade?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11626.2, + "via_waypoint_km": 14292.1, + "detour_km": 2665.9, + "detour_percent": 22.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Babamba", + " End: Iwade", + " Waypoint: San Pawl il-Baħar", + "Step 2: Calculate direct distance", + " Start → End: 11626.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14292.1 km", + "Step 4: Calculate detour", + " Detour = 14292.1 - 11626.2 = 2665.9 km", + " Detour % = (2665.9 / 11626.2) × 100 = 22.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 22.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 2.43823, + "lon": -76.61316, + "name": "Popayán" + }, + "end": { + "lat": 22.24411, + "lon": 114.14616, + "name": "South Horizons (Estate)" + }, + "waypoint": { + "lat": -1.69405, + "lon": 40.17015, + "name": "Masalani" + }, + "question": "Is Masalani approximately on the direct path from Popayán to South Horizons (Estate)?", + "ground_truth": { + "answer": false, + "direct_distance_km": 17032.2, + "via_waypoint_km": 21426.3, + "detour_km": 4394.1, + "detour_percent": 25.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Popayán", + " End: South Horizons (Estate)", + " Waypoint: Masalani", + "Step 2: Calculate direct distance", + " Start → End: 17032.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21426.3 km", + "Step 4: Calculate detour", + " Detour = 21426.3 - 17032.2 = 4394.1 km", + " Detour % = (4394.1 / 17032.2) × 100 = 25.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 25.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.71427, + "lon": -73.83097, + "name": "Kew Gardens" + }, + "end": { + "lat": 34.65918, + "lon": 109.22921, + "name": "Yanliang" + }, + "waypoint": { + "lat": 44.69825, + "lon": 10.63125, + "name": "Reggio nell'Emilia" + }, + "question": "Is Reggio nell'Emilia approximately on the direct path from Kew Gardens to Yanliang?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11628.1, + "via_waypoint_km": 14574.1, + "detour_km": 2946.0, + "detour_percent": 25.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kew Gardens", + " End: Yanliang", + " Waypoint: Reggio nell'Emilia", + "Step 2: Calculate direct distance", + " Start → End: 11628.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14574.1 km", + "Step 4: Calculate detour", + " Detour = 14574.1 - 11628.1 = 2946.0 km", + " Detour % = (2946.0 / 11628.1) × 100 = 25.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 25.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 53.90019, + "lon": 27.56653, + "name": "Minsk" + }, + "end": { + "lat": 41.14289, + "lon": 22.50108, + "name": "Gevgelija" + }, + "waypoint": { + "lat": 12.65143, + "lon": 77.20672, + "name": "Channapatna" + }, + "question": "Is Channapatna approximately on the direct path from Minsk to Gevgelija?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1467.7, + "via_waypoint_km": 12457.0, + "detour_km": 10989.3, + "detour_percent": 748.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Minsk", + " End: Gevgelija", + " Waypoint: Channapatna", + "Step 2: Calculate direct distance", + " Start → End: 1467.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12457.0 km", + "Step 4: Calculate detour", + " Detour = 12457.0 - 1467.7 = 10989.3 km", + " Detour % = (10989.3 / 1467.7) × 100 = 748.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 748.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -9.26083, + "lon": -37.93611, + "name": "Água Branca" + }, + "end": { + "lat": 24.78081, + "lon": 110.48967, + "name": "Yangshuo" + }, + "waypoint": { + "lat": 2.46335, + "lon": 31.49832, + "name": "Pakwach" + }, + "question": "Is Pakwach approximately on the direct path from Água Branca to Yangshuo?", + "ground_truth": { + "answer": true, + "direct_distance_km": 16255.5, + "via_waypoint_km": 16582.6, + "detour_km": 327.1, + "detour_percent": 2.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Água Branca", + " End: Yangshuo", + " Waypoint: Pakwach", + "Step 2: Calculate direct distance", + " Start → End: 16255.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16582.6 km", + "Step 4: Calculate detour", + " Detour = 16582.6 - 16255.5 = 327.1 km", + " Detour % = (327.1 / 16255.5) × 100 = 2.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2.0% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 26.77455, + "lon": 68.30094, + "name": "Pad Idan" + }, + "end": { + "lat": 28.81284, + "lon": 70.52341, + "name": "Zahir Pir" + }, + "waypoint": { + "lat": -1.74639, + "lon": -47.05944, + "name": "Capitão Poço" + }, + "question": "Is Capitão Poço approximately on the direct path from Pad Idan to Zahir Pir?", + "ground_truth": { + "answer": false, + "direct_distance_km": 314.9, + "via_waypoint_km": 25371.6, + "detour_km": 25056.7, + "detour_percent": 7957.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Pad Idan", + " End: Zahir Pir", + " Waypoint: Capitão Poço", + "Step 2: Calculate direct distance", + " Start → End: 314.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25371.6 km", + "Step 4: Calculate detour", + " Detour = 25371.6 - 314.9 = 25056.7 km", + " Detour % = (25056.7 / 314.9) × 100 = 7957.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 7957.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -37.92845, + "lon": 145.17708, + "name": "Mulgrave" + }, + "end": { + "lat": 42.58031, + "lon": -83.0302, + "name": "Sterling Heights" + }, + "waypoint": { + "lat": 52.92815, + "lon": 12.80311, + "name": "Neuruppin" + }, + "question": "Is Neuruppin approximately on the direct path from Mulgrave to Sterling Heights?", + "ground_truth": { + "answer": false, + "direct_distance_km": 15947.0, + "via_waypoint_km": 22742.8, + "detour_km": 6795.8, + "detour_percent": 42.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mulgrave", + " End: Sterling Heights", + " Waypoint: Neuruppin", + "Step 2: Calculate direct distance", + " Start → End: 15947.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22742.8 km", + "Step 4: Calculate detour", + " Detour = 22742.8 - 15947.0 = 6795.8 km", + " Detour % = (6795.8 / 15947.0) × 100 = 42.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 42.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 10.76695, + "lon": 75.92523, + "name": "Ponnāni" + }, + "end": { + "lat": 40.41189, + "lon": -3.65682, + "name": "Media Legua" + }, + "waypoint": { + "lat": 13.98333, + "lon": -14.8, + "name": "Koungheul" + }, + "question": "Is Koungheul approximately on the direct path from Ponnāni to Media Legua?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8355.8, + "via_waypoint_km": 12929.0, + "detour_km": 4573.2, + "detour_percent": 54.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ponnāni", + " End: Media Legua", + " Waypoint: Koungheul", + "Step 2: Calculate direct distance", + " Start → End: 8355.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12929.0 km", + "Step 4: Calculate detour", + " Detour = 12929.0 - 8355.8 = 4573.2 km", + " Detour % = (4573.2 / 8355.8) × 100 = 54.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 54.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 29.95673, + "lon": 105.75092, + "name": "Xinsheng" + }, + "end": { + "lat": 17.49313, + "lon": 78.30196, + "name": "Serilingampalle" + }, + "waypoint": { + "lat": 40.79455, + "lon": -73.81847, + "name": "Whitestone" + }, + "question": "Is Whitestone approximately on the direct path from Xinsheng to Serilingampalle?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3107.2, + "via_waypoint_km": 25071.1, + "detour_km": 21963.8, + "detour_percent": 706.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Xinsheng", + " End: Serilingampalle", + " Waypoint: Whitestone", + "Step 2: Calculate direct distance", + " Start → End: 3107.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25071.1 km", + "Step 4: Calculate detour", + " Detour = 25071.1 - 3107.2 = 21963.8 km", + " Detour % = (21963.8 / 3107.2) × 100 = 706.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 706.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -0.7175, + "lon": -47.69972, + "name": "Marapanim" + }, + "end": { + "lat": -25.87417, + "lon": -50.38278, + "name": "São Mateus do Sul" + }, + "waypoint": { + "lat": 14.35451, + "lon": 108.00759, + "name": "Kon Tum" + }, + "question": "Is Kon Tum approximately on the direct path from Marapanim to São Mateus do Sul?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2812.0, + "via_waypoint_km": 34370.4, + "detour_km": 31558.3, + "detour_percent": 1122.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Marapanim", + " End: São Mateus do Sul", + " Waypoint: Kon Tum", + "Step 2: Calculate direct distance", + " Start → End: 2812.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 34370.4 km", + "Step 4: Calculate detour", + " Detour = 34370.4 - 2812.0 = 31558.3 km", + " Detour % = (31558.3 / 2812.0) × 100 = 1122.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1122.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 61.05, + "lon": 25.43333, + "name": "Hollola" + }, + "end": { + "lat": 19.42793, + "lon": 93.55134, + "name": "Kyaukpyu" + }, + "waypoint": { + "lat": 34.09001, + "lon": -118.36174, + "name": "West Hollywood" + }, + "question": "Is West Hollywood approximately on the direct path from Hollola to Kyaukpyu?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6953.7, + "via_waypoint_km": 22110.6, + "detour_km": 15156.9, + "detour_percent": 218.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Hollola", + " End: Kyaukpyu", + " Waypoint: West Hollywood", + "Step 2: Calculate direct distance", + " Start → End: 6953.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22110.6 km", + "Step 4: Calculate detour", + " Detour = 22110.6 - 6953.7 = 15156.9 km", + " Detour % = (15156.9 / 6953.7) × 100 = 218.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 218.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -13.2, + "lon": 49.05, + "name": "Ambilobe" + }, + "end": { + "lat": -11.83268, + "lon": 16.23613, + "name": "Mungo" + }, + "waypoint": { + "lat": -27.76952, + "lon": 30.79165, + "name": "Vryheid" + }, + "question": "Is Vryheid approximately on the direct path from Ambilobe to Mungo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3562.8, + "via_waypoint_km": 4823.7, + "detour_km": 1260.9, + "detour_percent": 35.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ambilobe", + " End: Mungo", + " Waypoint: Vryheid", + "Step 2: Calculate direct distance", + " Start → End: 3562.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 4823.7 km", + "Step 4: Calculate detour", + " Detour = 4823.7 - 3562.8 = 1260.9 km", + " Detour % = (1260.9 / 3562.8) × 100 = 35.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 35.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 24.32342, + "lon": 75.65204, + "name": "Garot" + }, + "end": { + "lat": -0.96667, + "lon": 30.45, + "name": "Mabare" + }, + "waypoint": { + "lat": 14.76361, + "lon": -16.6916, + "name": "Khombole" + }, + "question": "Is Khombole approximately on the direct path from Garot to Mabare?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5624.0, + "via_waypoint_km": 15039.5, + "detour_km": 9415.5, + "detour_percent": 167.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Garot", + " End: Mabare", + " Waypoint: Khombole", + "Step 2: Calculate direct distance", + " Start → End: 5624.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15039.5 km", + "Step 4: Calculate detour", + " Detour = 15039.5 - 5624.0 = 9415.5 km", + " Detour % = (9415.5 / 5624.0) × 100 = 167.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 167.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 26.49471, + "lon": 78.61593, + "name": "Mahgawān" + }, + "end": { + "lat": 7.41251, + "lon": -7.55383, + "name": "Man" + }, + "waypoint": { + "lat": -31.91099, + "lon": 152.45387, + "name": "Taree" + }, + "question": "Is Taree approximately on the direct path from Mahgawān to Man?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9261.5, + "via_waypoint_km": 26756.5, + "detour_km": 17495.0, + "detour_percent": 188.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mahgawān", + " End: Man", + " Waypoint: Taree", + "Step 2: Calculate direct distance", + " Start → End: 9261.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26756.5 km", + "Step 4: Calculate detour", + " Detour = 26756.5 - 9261.5 = 17495.0 km", + " Detour % = (17495.0 / 9261.5) × 100 = 188.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 188.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -6.09401, + "lon": -36.47219, + "name": "Lagoa Nova" + }, + "end": { + "lat": 53.16495, + "lon": -1.19384, + "name": "Mansfield Woodhouse" + }, + "waypoint": { + "lat": -37.98333, + "lon": 145.2, + "name": "Dandenong" + }, + "question": "Is Dandenong approximately on the direct path from Lagoa Nova to Mansfield Woodhouse?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7374.1, + "via_waypoint_km": 32055.8, + "detour_km": 24681.8, + "detour_percent": 334.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Lagoa Nova", + " End: Mansfield Woodhouse", + " Waypoint: Dandenong", + "Step 2: Calculate direct distance", + " Start → End: 7374.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 32055.8 km", + "Step 4: Calculate detour", + " Detour = 32055.8 - 7374.1 = 24681.8 km", + " Detour % = (24681.8 / 7374.1) × 100 = 334.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 334.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 48.88697, + "lon": 26.84816, + "name": "Dunayivtsi" + }, + "end": { + "lat": 45.67151, + "lon": -122.66288, + "name": "Hazel Dell" + }, + "waypoint": { + "lat": -35.44394, + "lon": -60.88463, + "name": "Nueve de Julio" + }, + "question": "Is Nueve de Julio approximately on the direct path from Dunayivtsi to Hazel Dell?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9093.3, + "via_waypoint_km": 23677.7, + "detour_km": 14584.4, + "detour_percent": 160.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Dunayivtsi", + " End: Hazel Dell", + " Waypoint: Nueve de Julio", + "Step 2: Calculate direct distance", + " Start → End: 9093.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23677.7 km", + "Step 4: Calculate detour", + " Detour = 23677.7 - 9093.3 = 14584.4 km", + " Detour % = (14584.4 / 9093.3) × 100 = 160.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 160.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 31.51472, + "lon": -5.53278, + "name": "Tinghir" + }, + "end": { + "lat": -34.78254, + "lon": 138.61077, + "name": "Parafield Gardens" + }, + "waypoint": { + "lat": 30.23659, + "lon": -93.37738, + "name": "Sulphur" + }, + "question": "Is Sulphur approximately on the direct path from Tinghir to Parafield Gardens?", + "ground_truth": { + "answer": false, + "direct_distance_km": 16674.8, + "via_waypoint_km": 23294.6, + "detour_km": 6619.7, + "detour_percent": 39.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tinghir", + " End: Parafield Gardens", + " Waypoint: Sulphur", + "Step 2: Calculate direct distance", + " Start → End: 16674.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23294.6 km", + "Step 4: Calculate detour", + " Detour = 23294.6 - 16674.8 = 6619.7 km", + " Detour % = (6619.7 / 16674.8) × 100 = 39.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 39.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 13.58588, + "lon": 102.97369, + "name": "Sisophon" + }, + "end": { + "lat": -8.00667, + "lon": -36.05667, + "name": "Toritama" + }, + "waypoint": { + "lat": 44.75874, + "lon": 19.21437, + "name": "Bijeljina" + }, + "question": "Is Bijeljina approximately on the direct path from Sisophon to Toritama?", + "ground_truth": { + "answer": true, + "direct_distance_km": 15502.8, + "via_waypoint_km": 16510.2, + "detour_km": 1007.4, + "detour_percent": 6.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sisophon", + " End: Toritama", + " Waypoint: Bijeljina", + "Step 2: Calculate direct distance", + " Start → End: 15502.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16510.2 km", + "Step 4: Calculate detour", + " Detour = 16510.2 - 15502.8 = 1007.4 km", + " Detour % = (1007.4 / 15502.8) × 100 = 6.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 6.5% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 34.3992, + "lon": 8.80399, + "name": "El Ksar" + }, + "end": { + "lat": -6.35, + "lon": 36.48333, + "name": "Mpwapwa" + }, + "waypoint": { + "lat": 49.11911, + "lon": 6.17269, + "name": "Metz" + }, + "question": "Is Metz approximately on the direct path from El Ksar to Mpwapwa?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5383.5, + "via_waypoint_km": 8483.9, + "detour_km": 3100.3, + "detour_percent": 57.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: El Ksar", + " End: Mpwapwa", + " Waypoint: Metz", + "Step 2: Calculate direct distance", + " Start → End: 5383.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 8483.9 km", + "Step 4: Calculate detour", + " Detour = 8483.9 - 5383.5 = 3100.3 km", + " Detour % = (3100.3 / 5383.5) × 100 = 57.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 57.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 14.70074, + "lon": -16.45911, + "name": "Bambey" + }, + "end": { + "lat": 23.12493, + "lon": 120.46138, + "name": "Yujing" + }, + "waypoint": { + "lat": 14.97066, + "lon": 102.10196, + "name": "Nakhon Ratchasima" + }, + "question": "Is Nakhon Ratchasima approximately on the direct path from Bambey to Yujing?", + "ground_truth": { + "answer": true, + "direct_distance_km": 13718.3, + "via_waypoint_km": 14628.4, + "detour_km": 910.2, + "detour_percent": 6.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bambey", + " End: Yujing", + " Waypoint: Nakhon Ratchasima", + "Step 2: Calculate direct distance", + " Start → End: 13718.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14628.4 km", + "Step 4: Calculate detour", + " Detour = 14628.4 - 13718.3 = 910.2 km", + " Detour % = (910.2 / 13718.3) × 100 = 6.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 6.6% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -11.81361, + "lon": -37.61056, + "name": "Conde" + }, + "end": { + "lat": 42.96589, + "lon": -78.87004, + "name": "Kenmore" + }, + "waypoint": { + "lat": -2.02153, + "lon": 33.87109, + "name": "Bunda" + }, + "question": "Is Bunda approximately on the direct path from Conde to Kenmore?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7393.4, + "via_waypoint_km": 19940.2, + "detour_km": 12546.8, + "detour_percent": 169.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Conde", + " End: Kenmore", + " Waypoint: Bunda", + "Step 2: Calculate direct distance", + " Start → End: 7393.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19940.2 km", + "Step 4: Calculate detour", + " Detour = 19940.2 - 7393.4 = 12546.8 km", + " Detour % = (12546.8 / 7393.4) × 100 = 169.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 169.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -26.23656, + "lon": 28.36938, + "name": "Brakpan" + }, + "end": { + "lat": -9.59722, + "lon": -35.95667, + "name": "Pilar" + }, + "waypoint": { + "lat": 53.48771, + "lon": -2.29042, + "name": "Salford" + }, + "question": "Is Salford approximately on the direct path from Brakpan to Pilar?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6984.6, + "via_waypoint_km": 17045.5, + "detour_km": 10060.9, + "detour_percent": 144.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Brakpan", + " End: Pilar", + " Waypoint: Salford", + "Step 2: Calculate direct distance", + " Start → End: 6984.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17045.5 km", + "Step 4: Calculate detour", + " Detour = 17045.5 - 6984.6 = 10060.9 km", + " Detour % = (10060.9 / 6984.6) × 100 = 144.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 144.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -30.60106, + "lon": -71.19901, + "name": "Ovalle" + }, + "end": { + "lat": 7.17117, + "lon": -75.76404, + "name": "Ituango" + }, + "waypoint": { + "lat": 5.09053, + "lon": -6.34438, + "name": "Lobakuya" + }, + "question": "Is Lobakuya approximately on the direct path from Ovalle to Ituango?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4228.2, + "via_waypoint_km": 15609.9, + "detour_km": 11381.7, + "detour_percent": 269.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ovalle", + " End: Ituango", + " Waypoint: Lobakuya", + "Step 2: Calculate direct distance", + " Start → End: 4228.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15609.9 km", + "Step 4: Calculate detour", + " Detour = 15609.9 - 4228.2 = 11381.7 km", + " Detour % = (11381.7 / 4228.2) × 100 = 269.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 269.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -8.5675, + "lon": 13.47639, + "name": "Gama" + }, + "end": { + "lat": -17.80309, + "lon": 177.41617, + "name": "Nadi" + }, + "waypoint": { + "lat": 46.18096, + "lon": 6.13921, + "name": "Carouge" + }, + "question": "Is Carouge approximately on the direct path from Gama to Nadi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 16593.2, + "via_waypoint_km": 22890.3, + "detour_km": 6297.0, + "detour_percent": 37.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Gama", + " End: Nadi", + " Waypoint: Carouge", + "Step 2: Calculate direct distance", + " Start → End: 16593.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22890.3 km", + "Step 4: Calculate detour", + " Detour = 22890.3 - 16593.2 = 6297.0 km", + " Detour % = (6297.0 / 16593.2) × 100 = 37.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 37.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.30777, + "lon": 13.29168, + "name": "Riesa" + }, + "end": { + "lat": 49.34737, + "lon": 8.68733, + "name": "Leimen" + }, + "waypoint": { + "lat": 31.76667, + "lon": 104.71667, + "name": "Jiangyou" + }, + "question": "Is Jiangyou approximately on the direct path from Riesa to Leimen?", + "ground_truth": { + "answer": false, + "direct_distance_km": 392.8, + "via_waypoint_km": 15190.8, + "detour_km": 14798.0, + "detour_percent": 3767.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Riesa", + " End: Leimen", + " Waypoint: Jiangyou", + "Step 2: Calculate direct distance", + " Start → End: 392.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15190.8 km", + "Step 4: Calculate detour", + " Detour = 15190.8 - 392.8 = 14798.0 km", + " Detour % = (14798.0 / 392.8) × 100 = 3767.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 3767.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -13.54639, + "lon": -42.49139, + "name": "Tanque Novo" + }, + "end": { + "lat": 33.41804, + "lon": 130.65413, + "name": "Amagi" + }, + "waypoint": { + "lat": 4.4683, + "lon": 97.9683, + "name": "Langsa" + }, + "question": "Is Langsa approximately on the direct path from Tanque Novo to Amagi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 17699.2, + "via_waypoint_km": 20232.8, + "detour_km": 2533.6, + "detour_percent": 14.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tanque Novo", + " End: Amagi", + " Waypoint: Langsa", + "Step 2: Calculate direct distance", + " Start → End: 17699.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20232.8 km", + "Step 4: Calculate detour", + " Detour = 20232.8 - 17699.2 = 2533.6 km", + " Detour % = (2533.6 / 17699.2) × 100 = 14.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 14.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 20.76462, + "lon": -156.44578, + "name": "Kīhei" + }, + "end": { + "lat": 24.77107, + "lon": 86.37888, + "name": "Jhajha" + }, + "waypoint": { + "lat": -16.95667, + "lon": -51.81028, + "name": "Caiapônia" + }, + "question": "Is Caiapônia approximately on the direct path from Kīhei to Jhajha?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11546.5, + "via_waypoint_km": 27748.1, + "detour_km": 16201.6, + "detour_percent": 140.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kīhei", + " End: Jhajha", + " Waypoint: Caiapônia", + "Step 2: Calculate direct distance", + " Start → End: 11546.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27748.1 km", + "Step 4: Calculate detour", + " Detour = 27748.1 - 11546.5 = 16201.6 km", + " Detour % = (16201.6 / 11546.5) × 100 = 140.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 140.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 41.87792, + "lon": 20.88389, + "name": "Negotino" + }, + "end": { + "lat": 41.99232, + "lon": 12.71876, + "name": "Guidonia" + }, + "waypoint": { + "lat": 31.19688, + "lon": 31.5243, + "name": "Shirbīn" + }, + "question": "Is Shirbīn approximately on the direct path from Negotino to Guidonia?", + "ground_truth": { + "answer": false, + "direct_distance_km": 675.3, + "via_waypoint_km": 3575.0, + "detour_km": 2899.7, + "detour_percent": 429.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Negotino", + " End: Guidonia", + " Waypoint: Shirbīn", + "Step 2: Calculate direct distance", + " Start → End: 675.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 3575.0 km", + "Step 4: Calculate detour", + " Detour = 3575.0 - 675.3 = 2899.7 km", + " Detour % = (2899.7 / 675.3) × 100 = 429.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 429.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -3.47194, + "lon": -41.5575, + "name": "Cocal" + }, + "end": { + "lat": 45.64933, + "lon": 9.60617, + "name": "Dalmine" + }, + "waypoint": { + "lat": 50.08309, + "lon": 8.62852, + "name": "Niederrad" + }, + "question": "Is Niederrad approximately on the direct path from Cocal to Dalmine?", + "ground_truth": { + "answer": true, + "direct_distance_km": 7425.6, + "via_waypoint_km": 8134.7, + "detour_km": 709.0, + "detour_percent": 9.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Cocal", + " End: Dalmine", + " Waypoint: Niederrad", + "Step 2: Calculate direct distance", + " Start → End: 7425.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 8134.7 km", + "Step 4: Calculate detour", + " Detour = 8134.7 - 7425.6 = 709.0 km", + " Detour % = (709.0 / 7425.6) × 100 = 9.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 9.5% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -31.64978, + "lon": -64.42972, + "name": "Alta Gracia" + }, + "end": { + "lat": 53.53801, + "lon": 7.9477, + "name": "Schortens" + }, + "waypoint": { + "lat": -15.80394, + "lon": 11.84485, + "name": "Tômbua" + }, + "question": "Is Tômbua approximately on the direct path from Alta Gracia to Schortens?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11741.7, + "via_waypoint_km": 15535.4, + "detour_km": 3793.7, + "detour_percent": 32.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Alta Gracia", + " End: Schortens", + " Waypoint: Tômbua", + "Step 2: Calculate direct distance", + " Start → End: 11741.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15535.4 km", + "Step 4: Calculate detour", + " Detour = 15535.4 - 11741.7 = 3793.7 km", + " Detour % = (3793.7 / 11741.7) × 100 = 32.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 32.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 41.5067, + "lon": -90.51513, + "name": "Moline" + }, + "end": { + "lat": 25.53928, + "lon": -100.94742, + "name": "Ramos Arizpe" + }, + "waypoint": { + "lat": 33.73333, + "lon": 135.98333, + "name": "Shingū" + }, + "question": "Is Shingū approximately on the direct path from Moline to Ramos Arizpe?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2018.1, + "via_waypoint_km": 21490.5, + "detour_km": 19472.4, + "detour_percent": 964.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Moline", + " End: Ramos Arizpe", + " Waypoint: Shingū", + "Step 2: Calculate direct distance", + " Start → End: 2018.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21490.5 km", + "Step 4: Calculate detour", + " Detour = 21490.5 - 2018.1 = 19472.4 km", + " Detour % = (19472.4 / 2018.1) × 100 = 964.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 964.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 22.8774, + "lon": 88.75479, + "name": "Gobārdānga" + }, + "end": { + "lat": 26.01856, + "lon": 89.98564, + "name": "Dhubri" + }, + "waypoint": { + "lat": 52.84361, + "lon": -8.98639, + "name": "Ennis" + }, + "question": "Is Ennis approximately on the direct path from Gobārdānga to Dhubri?", + "ground_truth": { + "answer": false, + "direct_distance_km": 370.8, + "via_waypoint_km": 16796.1, + "detour_km": 16425.2, + "detour_percent": 4429.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Gobārdānga", + " End: Dhubri", + " Waypoint: Ennis", + "Step 2: Calculate direct distance", + " Start → End: 370.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16796.1 km", + "Step 4: Calculate detour", + " Detour = 16796.1 - 370.8 = 16425.2 km", + " Detour % = (16425.2 / 370.8) × 100 = 4429.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 4429.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -37.8329, + "lon": 145.0367, + "name": "Hawthorn South" + }, + "end": { + "lat": -24.72459, + "lon": 31.19939, + "name": "Thulamahashi" + }, + "waypoint": { + "lat": 55.58316, + "lon": 37.26019, + "name": "Annino" + }, + "question": "Is Annino approximately on the direct path from Hawthorn South to Thulamahashi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10220.3, + "via_waypoint_km": 23399.5, + "detour_km": 13179.2, + "detour_percent": 129.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Hawthorn South", + " End: Thulamahashi", + " Waypoint: Annino", + "Step 2: Calculate direct distance", + " Start → End: 10220.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23399.5 km", + "Step 4: Calculate detour", + " Detour = 23399.5 - 10220.3 = 13179.2 km", + " Detour % = (13179.2 / 10220.3) × 100 = 129.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 129.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 52.2375, + "lon": 4.82639, + "name": "Uithoorn" + }, + "end": { + "lat": 1.45083, + "lon": 103.82861, + "name": "Sembawang Estate" + }, + "waypoint": { + "lat": 21.90174, + "lon": 70.0327, + "name": "Jodhpur" + }, + "question": "Is Jodhpur approximately on the direct path from Uithoorn to Sembawang Estate?", + "ground_truth": { + "answer": true, + "direct_distance_km": 10490.8, + "via_waypoint_km": 10730.1, + "detour_km": 239.3, + "detour_percent": 2.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Uithoorn", + " End: Sembawang Estate", + " Waypoint: Jodhpur", + "Step 2: Calculate direct distance", + " Start → End: 10490.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10730.1 km", + "Step 4: Calculate detour", + " Detour = 10730.1 - 10490.8 = 239.3 km", + " Detour % = (239.3 / 10490.8) × 100 = 2.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2.3% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -23.71194, + "lon": -47.42778, + "name": "Piedade" + }, + "end": { + "lat": 41.07393, + "lon": 28.24644, + "name": "Silivri" + }, + "waypoint": { + "lat": 6.30054, + "lon": -10.7969, + "name": "Monrovia" + }, + "question": "Is Monrovia approximately on the direct path from Piedade to Silivri?", + "ground_truth": { + "answer": true, + "direct_distance_km": 10603.7, + "via_waypoint_km": 10655.0, + "detour_km": 51.3, + "detour_percent": 0.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Piedade", + " End: Silivri", + " Waypoint: Monrovia", + "Step 2: Calculate direct distance", + " Start → End: 10603.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10655.0 km", + "Step 4: Calculate detour", + " Detour = 10655.0 - 10603.7 = 51.3 km", + " Detour % = (51.3 / 10603.7) × 100 = 0.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.5% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 39.76861, + "lon": -94.84663, + "name": "Saint Joseph" + }, + "end": { + "lat": 43.64929, + "lon": -79.33565, + "name": "South Riverdale" + }, + "waypoint": { + "lat": -18.20476, + "lon": 28.9349, + "name": "Gokwe" + }, + "question": "Is Gokwe approximately on the direct path from Saint Joseph to South Riverdale?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1355.5, + "via_waypoint_km": 27001.3, + "detour_km": 25645.8, + "detour_percent": 1892.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Saint Joseph", + " End: South Riverdale", + " Waypoint: Gokwe", + "Step 2: Calculate direct distance", + " Start → End: 1355.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27001.3 km", + "Step 4: Calculate detour", + " Detour = 27001.3 - 1355.5 = 25645.8 km", + " Detour % = (25645.8 / 1355.5) × 100 = 1892.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1892.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 5.93576, + "lon": 7.0793, + "name": "Uga" + }, + "end": { + "lat": -33.75881, + "lon": 150.99292, + "name": "Baulkham Hills" + }, + "waypoint": { + "lat": 42.45232, + "lon": -71.137, + "name": "Winchester" + }, + "question": "Is Winchester approximately on the direct path from Uga to Baulkham Hills?", + "ground_truth": { + "answer": false, + "direct_distance_km": 15181.4, + "via_waypoint_km": 24842.1, + "detour_km": 9660.7, + "detour_percent": 63.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Uga", + " End: Baulkham Hills", + " Waypoint: Winchester", + "Step 2: Calculate direct distance", + " Start → End: 15181.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24842.1 km", + "Step 4: Calculate detour", + " Detour = 24842.1 - 15181.4 = 9660.7 km", + " Detour % = (9660.7 / 15181.4) × 100 = 63.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 63.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.85245, + "lon": -121.4016, + "name": "Hollister" + }, + "end": { + "lat": 52.7225, + "lon": 6.47639, + "name": "Hoogeveen" + }, + "waypoint": { + "lat": -25.83219, + "lon": -48.53966, + "name": "Matinhos" + }, + "question": "Is Matinhos approximately on the direct path from Hollister to Hoogeveen?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8856.6, + "via_waypoint_km": 20545.7, + "detour_km": 11689.1, + "detour_percent": 132.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Hollister", + " End: Hoogeveen", + " Waypoint: Matinhos", + "Step 2: Calculate direct distance", + " Start → End: 8856.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20545.7 km", + "Step 4: Calculate detour", + " Detour = 20545.7 - 8856.6 = 11689.1 km", + " Detour % = (11689.1 / 8856.6) × 100 = 132.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 132.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 38.62961, + "lon": -9.11557, + "name": "Amora" + }, + "end": { + "lat": 47.38449, + "lon": 19.2214, + "name": "Gyál" + }, + "waypoint": { + "lat": 33.54428, + "lon": -84.23381, + "name": "Stockbridge" + }, + "question": "Is Stockbridge approximately on the direct path from Amora to Gyál?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2483.7, + "via_waypoint_km": 14812.0, + "detour_km": 12328.3, + "detour_percent": 496.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Amora", + " End: Gyál", + " Waypoint: Stockbridge", + "Step 2: Calculate direct distance", + " Start → End: 2483.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14812.0 km", + "Step 4: Calculate detour", + " Detour = 14812.0 - 2483.7 = 12328.3 km", + " Detour % = (12328.3 / 2483.7) × 100 = 496.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 496.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 8.48714, + "lon": -13.2356, + "name": "Freetown" + }, + "end": { + "lat": 4.95893, + "lon": 8.32695, + "name": "Calabar" + }, + "waypoint": { + "lat": 44.56139, + "lon": 25.94889, + "name": "Buftea" + }, + "question": "Is Buftea approximately on the direct path from Freetown to Calabar?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2412.7, + "via_waypoint_km": 10228.1, + "detour_km": 7815.4, + "detour_percent": 323.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Freetown", + " End: Calabar", + " Waypoint: Buftea", + "Step 2: Calculate direct distance", + " Start → End: 2412.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10228.1 km", + "Step 4: Calculate detour", + " Detour = 10228.1 - 2412.7 = 7815.4 km", + " Detour % = (7815.4 / 2412.7) × 100 = 323.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 323.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 50.05197, + "lon": 72.95497, + "name": "Temirtau" + }, + "end": { + "lat": 18.62828, + "lon": 98.89572, + "name": "San Pa Tong" + }, + "waypoint": { + "lat": 49.29504, + "lon": 8.69846, + "name": "Wiesloch" + }, + "question": "Is Wiesloch approximately on the direct path from Temirtau to San Pa Tong?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4183.6, + "via_waypoint_km": 12940.7, + "detour_km": 8757.1, + "detour_percent": 209.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Temirtau", + " End: San Pa Tong", + " Waypoint: Wiesloch", + "Step 2: Calculate direct distance", + " Start → End: 4183.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12940.7 km", + "Step 4: Calculate detour", + " Detour = 12940.7 - 4183.6 = 8757.1 km", + " Detour % = (8757.1 / 4183.6) × 100 = 209.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 209.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -26.1966, + "lon": -56.36786, + "name": "Caazapá" + }, + "end": { + "lat": 17.0187, + "lon": 8.0168, + "name": "Alaghsas" + }, + "waypoint": { + "lat": 28.24418, + "lon": -82.71927, + "name": "New Port Richey" + }, + "question": "Is New Port Richey approximately on the direct path from Caazapá to Alaghsas?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8452.1, + "via_waypoint_km": 15867.9, + "detour_km": 7415.8, + "detour_percent": 87.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Caazapá", + " End: Alaghsas", + " Waypoint: New Port Richey", + "Step 2: Calculate direct distance", + " Start → End: 8452.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15867.9 km", + "Step 4: Calculate detour", + " Detour = 15867.9 - 8452.1 = 7415.8 km", + " Detour % = (7415.8 / 8452.1) × 100 = 87.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 87.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.65, + "lon": 138.18333, + "name": "Nagano" + }, + "end": { + "lat": 33.55808, + "lon": -7.48647, + "name": "Tit Mellil" + }, + "waypoint": { + "lat": 50.41081, + "lon": 4.49109, + "name": "Montignies-sur-Sambre" + }, + "question": "Is Montignies-sur-Sambre approximately on the direct path from Nagano to Tit Mellil?", + "ground_truth": { + "answer": true, + "direct_distance_km": 11434.7, + "via_waypoint_km": 11438.9, + "detour_km": 4.2, + "detour_percent": 0.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Nagano", + " End: Tit Mellil", + " Waypoint: Montignies-sur-Sambre", + "Step 2: Calculate direct distance", + " Start → End: 11434.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11438.9 km", + "Step 4: Calculate detour", + " Detour = 11438.9 - 11434.7 = 4.2 km", + " Detour % = (4.2 / 11434.7) × 100 = 0.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.0% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 39.62441, + "lon": 19.92016, + "name": "Corfu" + }, + "end": { + "lat": 36.05659, + "lon": 138.0451, + "name": "Okaya" + }, + "waypoint": { + "lat": 18.08124, + "lon": -88.56328, + "name": "Orange Walk" + }, + "question": "Is Orange Walk approximately on the direct path from Corfu to Okaya?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9485.6, + "via_waypoint_km": 22479.0, + "detour_km": 12993.4, + "detour_percent": 137.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Corfu", + " End: Okaya", + " Waypoint: Orange Walk", + "Step 2: Calculate direct distance", + " Start → End: 9485.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22479.0 km", + "Step 4: Calculate detour", + " Detour = 22479.0 - 9485.6 = 12993.4 km", + " Detour % = (12993.4 / 9485.6) × 100 = 137.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 137.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -15.35454, + "lon": 28.37416, + "name": "Madido" + }, + "end": { + "lat": 51.23736, + "lon": -0.20582, + "name": "Reigate" + }, + "waypoint": { + "lat": 31.32712, + "lon": -89.29034, + "name": "Hattiesburg" + }, + "question": "Is Hattiesburg approximately on the direct path from Madido to Reigate?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7907.3, + "via_waypoint_km": 20780.9, + "detour_km": 12873.5, + "detour_percent": 162.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Madido", + " End: Reigate", + " Waypoint: Hattiesburg", + "Step 2: Calculate direct distance", + " Start → End: 7907.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20780.9 km", + "Step 4: Calculate detour", + " Detour = 20780.9 - 7907.3 = 12873.5 km", + " Detour % = (12873.5 / 7907.3) × 100 = 162.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 162.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -13.65145, + "lon": -41.84564, + "name": "Livramento do Brumado" + }, + "end": { + "lat": 17.77844, + "lon": 83.21577, + "name": "Vepagunta" + }, + "waypoint": { + "lat": -36.9682, + "lon": 174.84019, + "name": "Papatoetoe" + }, + "question": "Is Papatoetoe approximately on the direct path from Livramento do Brumado to Vepagunta?", + "ground_truth": { + "answer": false, + "direct_distance_km": 14136.3, + "via_waypoint_km": 24526.3, + "detour_km": 10390.0, + "detour_percent": 73.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Livramento do Brumado", + " End: Vepagunta", + " Waypoint: Papatoetoe", + "Step 2: Calculate direct distance", + " Start → End: 14136.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24526.3 km", + "Step 4: Calculate detour", + " Detour = 24526.3 - 14136.3 = 10390.0 km", + " Detour % = (10390.0 / 14136.3) × 100 = 73.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 73.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 13.67806, + "lon": -1.54611, + "name": "Bourzanga" + }, + "end": { + "lat": -7.26435, + "lon": -64.79638, + "name": "Lábrea" + }, + "waypoint": { + "lat": 55.01788, + "lon": -1.42559, + "name": "Tynemouth" + }, + "question": "Is Tynemouth approximately on the direct path from Bourzanga to Lábrea?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7358.5, + "via_waypoint_km": 13636.6, + "detour_km": 6278.1, + "detour_percent": 85.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bourzanga", + " End: Lábrea", + " Waypoint: Tynemouth", + "Step 2: Calculate direct distance", + " Start → End: 7358.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13636.6 km", + "Step 4: Calculate detour", + " Detour = 13636.6 - 7358.5 = 6278.1 km", + " Detour % = (6278.1 / 7358.5) × 100 = 85.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 85.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 16.0567, + "lon": 103.65309, + "name": "Roi Et" + }, + "end": { + "lat": 47.6895, + "lon": 9.83247, + "name": "Wangen" + }, + "waypoint": { + "lat": 53.14657, + "lon": 140.72287, + "name": "Nikolayevsk-on-Amure" + }, + "question": "Is Nikolayevsk-on-Amure approximately on the direct path from Roi Et to Wangen?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8974.5, + "via_waypoint_km": 13115.3, + "detour_km": 4140.7, + "detour_percent": 46.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Roi Et", + " End: Wangen", + " Waypoint: Nikolayevsk-on-Amure", + "Step 2: Calculate direct distance", + " Start → End: 8974.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13115.3 km", + "Step 4: Calculate detour", + " Detour = 13115.3 - 8974.5 = 4140.7 km", + " Detour % = (4140.7 / 8974.5) × 100 = 46.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 46.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 33.20004, + "lon": -117.24254, + "name": "Vista" + }, + "end": { + "lat": 9.23458, + "lon": 76.47326, + "name": "Cheppad" + }, + "waypoint": { + "lat": 28.82306, + "lon": 30.89903, + "name": "Al Fashn" + }, + "question": "Is Al Fashn approximately on the direct path from Vista to Cheppad?", + "ground_truth": { + "answer": false, + "direct_distance_km": 15078.2, + "via_waypoint_km": 17564.9, + "detour_km": 2486.7, + "detour_percent": 16.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Vista", + " End: Cheppad", + " Waypoint: Al Fashn", + "Step 2: Calculate direct distance", + " Start → End: 15078.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17564.9 km", + "Step 4: Calculate detour", + " Detour = 17564.9 - 15078.2 = 2486.7 km", + " Detour % = (2486.7 / 15078.2) × 100 = 16.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 16.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 35.50472, + "lon": 119.26694, + "name": "Chentuan" + }, + "end": { + "lat": 24.64648, + "lon": 75.94325, + "name": "Rāmganj Mandi" + }, + "waypoint": { + "lat": 18.48278, + "lon": -69.88914, + "name": "Villa Francisca" + }, + "question": "Is Villa Francisca approximately on the direct path from Chentuan to Rāmganj Mandi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4302.9, + "via_waypoint_km": 27892.3, + "detour_km": 23589.4, + "detour_percent": 548.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Chentuan", + " End: Rāmganj Mandi", + " Waypoint: Villa Francisca", + "Step 2: Calculate direct distance", + " Start → End: 4302.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27892.3 km", + "Step 4: Calculate detour", + " Detour = 27892.3 - 4302.9 = 23589.4 km", + " Detour % = (23589.4 / 4302.9) × 100 = 548.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 548.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 41.94175, + "lon": 123.50266, + "name": "Hushitai" + }, + "end": { + "lat": 14.33236, + "lon": -16.40513, + "name": "Fatick" + }, + "waypoint": { + "lat": 56.24227, + "lon": 42.14911, + "name": "Vyazniki" + }, + "question": "Is Vyazniki approximately on the direct path from Hushitai to Fatick?", + "ground_truth": { + "answer": true, + "direct_distance_km": 12531.4, + "via_waypoint_km": 12533.9, + "detour_km": 2.5, + "detour_percent": 0.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Hushitai", + " End: Fatick", + " Waypoint: Vyazniki", + "Step 2: Calculate direct distance", + " Start → End: 12531.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12533.9 km", + "Step 4: Calculate detour", + " Detour = 12533.9 - 12531.4 = 2.5 km", + " Detour % = (2.5 / 12531.4) × 100 = 0.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.0% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 28.78169, + "lon": 108.68258, + "name": "Tonggu" + }, + "end": { + "lat": 8.24661, + "lon": 77.26171, + "name": "Kappiyara" + }, + "waypoint": { + "lat": -22.82223, + "lon": 47.82615, + "name": "Farafangana" + }, + "question": "Is Farafangana approximately on the direct path from Tonggu to Kappiyara?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4000.3, + "via_waypoint_km": 13392.8, + "detour_km": 9392.4, + "detour_percent": 234.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tonggu", + " End: Kappiyara", + " Waypoint: Farafangana", + "Step 2: Calculate direct distance", + " Start → End: 4000.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13392.8 km", + "Step 4: Calculate detour", + " Detour = 13392.8 - 4000.3 = 9392.4 km", + " Detour % = (9392.4 / 4000.3) × 100 = 234.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 234.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -25.3552, + "lon": -57.44545, + "name": "Capiatá" + }, + "end": { + "lat": 10.96209, + "lon": -3.24967, + "name": "Diébougou" + }, + "waypoint": { + "lat": 34.4045, + "lon": 135.34087, + "name": "Ōkubo-naka" + }, + "question": "Is Ōkubo-naka approximately on the direct path from Capiatá to Diébougou?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7122.0, + "via_waypoint_km": 31770.1, + "detour_km": 24648.1, + "detour_percent": 346.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Capiatá", + " End: Diébougou", + " Waypoint: Ōkubo-naka", + "Step 2: Calculate direct distance", + " Start → End: 7122.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 31770.1 km", + "Step 4: Calculate detour", + " Detour = 31770.1 - 7122.0 = 24648.1 km", + " Detour % = (24648.1 / 7122.0) × 100 = 346.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 346.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 7.40353, + "lon": -2.46635, + "name": "Nsoatre" + }, + "end": { + "lat": 8.81667, + "lon": 40.51667, + "name": "Gelemso" + }, + "waypoint": { + "lat": 20.92206, + "lon": 75.32641, + "name": "Erandol" + }, + "question": "Is Erandol approximately on the direct path from Nsoatre to Gelemso?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4731.8, + "via_waypoint_km": 12415.3, + "detour_km": 7683.4, + "detour_percent": 162.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Nsoatre", + " End: Gelemso", + " Waypoint: Erandol", + "Step 2: Calculate direct distance", + " Start → End: 4731.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12415.3 km", + "Step 4: Calculate detour", + " Detour = 12415.3 - 4731.8 = 7683.4 km", + " Detour % = (7683.4 / 4731.8) × 100 = 162.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 162.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 32.43674, + "lon": -111.22538, + "name": "Marana" + }, + "end": { + "lat": 45.3001, + "lon": -75.91606, + "name": "Kanata" + }, + "waypoint": { + "lat": 30.63965, + "lon": 108.23701, + "name": "Longsha" + }, + "question": "Is Longsha approximately on the direct path from Marana to Kanata?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3340.0, + "via_waypoint_km": 23424.4, + "detour_km": 20084.4, + "detour_percent": 601.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Marana", + " End: Kanata", + " Waypoint: Longsha", + "Step 2: Calculate direct distance", + " Start → End: 3340.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23424.4 km", + "Step 4: Calculate detour", + " Detour = 23424.4 - 3340.0 = 20084.4 km", + " Detour % = (20084.4 / 3340.0) × 100 = 601.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 601.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -26.53333, + "lon": 29.06667, + "name": "eMbalenhle" + }, + "end": { + "lat": 35.44272, + "lon": 139.36931, + "name": "Atsugi" + }, + "waypoint": { + "lat": 44.8955, + "lon": -0.71779, + "name": "Saint-Médard-en-Jalles" + }, + "question": "Is Saint-Médard-en-Jalles approximately on the direct path from eMbalenhle to Atsugi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13431.7, + "via_waypoint_km": 18718.0, + "detour_km": 5286.3, + "detour_percent": 39.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: eMbalenhle", + " End: Atsugi", + " Waypoint: Saint-Médard-en-Jalles", + "Step 2: Calculate direct distance", + " Start → End: 13431.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18718.0 km", + "Step 4: Calculate detour", + " Detour = 18718.0 - 13431.7 = 5286.3 km", + " Detour % = (5286.3 / 13431.7) × 100 = 39.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 39.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.16525, + "lon": 1.33452, + "name": "Chlef" + }, + "end": { + "lat": 40.84982, + "lon": -73.91986, + "name": "Morris Heights" + }, + "waypoint": { + "lat": 16.43547, + "lon": 80.99555, + "name": "Gudivāda" + }, + "question": "Is Gudivāda approximately on the direct path from Chlef to Morris Heights?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6362.6, + "via_waypoint_km": 21166.1, + "detour_km": 14803.6, + "detour_percent": 232.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Chlef", + " End: Morris Heights", + " Waypoint: Gudivāda", + "Step 2: Calculate direct distance", + " Start → End: 6362.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21166.1 km", + "Step 4: Calculate detour", + " Detour = 21166.1 - 6362.6 = 14803.6 km", + " Detour % = (14803.6 / 6362.6) × 100 = 232.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 232.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -37.82289, + "lon": 147.61041, + "name": "Bairnsdale" + }, + "end": { + "lat": -12.48602, + "lon": 130.9833, + "name": "Palmerston" + }, + "waypoint": { + "lat": 22.62795, + "lon": -101.71417, + "name": "Salinas de Hidalgo" + }, + "question": "Is Salinas de Hidalgo approximately on the direct path from Bairnsdale to Palmerston?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3264.6, + "via_waypoint_km": 27638.9, + "detour_km": 24374.2, + "detour_percent": 746.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bairnsdale", + " End: Palmerston", + " Waypoint: Salinas de Hidalgo", + "Step 2: Calculate direct distance", + " Start → End: 3264.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27638.9 km", + "Step 4: Calculate detour", + " Detour = 27638.9 - 3264.6 = 24374.2 km", + " Detour % = (24374.2 / 3264.6) × 100 = 746.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 746.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.73002, + "lon": -73.8234, + "name": "Kew Gardens Hills" + }, + "end": { + "lat": 50.23139, + "lon": 106.20778, + "name": "Sühbaatar" + }, + "waypoint": { + "lat": -20.32674, + "lon": 30.06648, + "name": "Zvishavane" + }, + "question": "Is Zvishavane approximately on the direct path from Kew Gardens Hills to Sühbaatar?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9900.6, + "via_waypoint_km": 23405.4, + "detour_km": 13504.8, + "detour_percent": 136.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kew Gardens Hills", + " End: Sühbaatar", + " Waypoint: Zvishavane", + "Step 2: Calculate direct distance", + " Start → End: 9900.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23405.4 km", + "Step 4: Calculate detour", + " Detour = 23405.4 - 9900.6 = 13504.8 km", + " Detour % = (13504.8 / 9900.6) × 100 = 136.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 136.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 9.73586, + "lon": -75.52626, + "name": "San Onofre" + }, + "end": { + "lat": 41.40392, + "lon": 2.20413, + "name": "el Poblenou" + }, + "waypoint": { + "lat": 35.71126, + "lon": -78.61417, + "name": "Garner" + }, + "question": "Is Garner approximately on the direct path from San Onofre to el Poblenou?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8272.7, + "via_waypoint_km": 9699.7, + "detour_km": 1426.9, + "detour_percent": 17.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: San Onofre", + " End: el Poblenou", + " Waypoint: Garner", + "Step 2: Calculate direct distance", + " Start → End: 8272.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9699.7 km", + "Step 4: Calculate detour", + " Detour = 9699.7 - 8272.7 = 1426.9 km", + " Detour % = (1426.9 / 8272.7) × 100 = 17.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 17.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 18.3, + "lon": 42.73333, + "name": "Khamis Mushait" + }, + "end": { + "lat": 26.77455, + "lon": 68.30094, + "name": "Pad Idan" + }, + "waypoint": { + "lat": 36.51611, + "lon": 6.32722, + "name": "Grarem" + }, + "question": "Is Grarem approximately on the direct path from Khamis Mushait to Pad Idan?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2783.3, + "via_waypoint_km": 9955.8, + "detour_km": 7172.4, + "detour_percent": 257.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Khamis Mushait", + " End: Pad Idan", + " Waypoint: Grarem", + "Step 2: Calculate direct distance", + " Start → End: 2783.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9955.8 km", + "Step 4: Calculate detour", + " Detour = 9955.8 - 2783.3 = 7172.4 km", + " Detour % = (7172.4 / 2783.3) × 100 = 257.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 257.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 13.75, + "lon": -15.8, + "name": "Nioro du Rip" + }, + "end": { + "lat": -30.90534, + "lon": -55.55076, + "name": "Rivera" + }, + "waypoint": { + "lat": 40.6851, + "lon": -73.7018, + "name": "North Valley Stream" + }, + "question": "Is North Valley Stream approximately on the direct path from Nioro du Rip to Rivera?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6533.3, + "via_waypoint_km": 14501.9, + "detour_km": 7968.5, + "detour_percent": 122.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Nioro du Rip", + " End: Rivera", + " Waypoint: North Valley Stream", + "Step 2: Calculate direct distance", + " Start → End: 6533.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14501.9 km", + "Step 4: Calculate detour", + " Detour = 14501.9 - 6533.3 = 7968.5 km", + " Detour % = (7968.5 / 6533.3) × 100 = 122.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 122.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 21.38333, + "lon": 79.73333, + "name": "Tumsar" + }, + "end": { + "lat": 28.49404, + "lon": 79.09177, + "name": "Sarauli" + }, + "waypoint": { + "lat": 52.53711, + "lon": 31.93659, + "name": "Novozybkov" + }, + "question": "Is Novozybkov approximately on the direct path from Tumsar to Sarauli?", + "ground_truth": { + "answer": false, + "direct_distance_km": 793.3, + "via_waypoint_km": 10010.3, + "detour_km": 9217.0, + "detour_percent": 1161.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tumsar", + " End: Sarauli", + " Waypoint: Novozybkov", + "Step 2: Calculate direct distance", + " Start → End: 793.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10010.3 km", + "Step 4: Calculate detour", + " Detour = 10010.3 - 793.3 = 9217.0 km", + " Detour % = (9217.0 / 793.3) × 100 = 1161.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1161.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -32.56611, + "lon": -53.37583, + "name": "Jaguarão" + }, + "end": { + "lat": 39.64691, + "lon": 141.94057, + "name": "Miyako" + }, + "waypoint": { + "lat": -37.68611, + "lon": 176.16667, + "name": "Tauranga" + }, + "question": "Is Tauranga approximately on the direct path from Jaguarão to Miyako?", + "ground_truth": { + "answer": true, + "direct_distance_km": 18433.0, + "via_waypoint_km": 19950.6, + "detour_km": 1517.7, + "detour_percent": 8.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Jaguarão", + " End: Miyako", + " Waypoint: Tauranga", + "Step 2: Calculate direct distance", + " Start → End: 18433.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19950.6 km", + "Step 4: Calculate detour", + " Detour = 19950.6 - 18433.0 = 1517.7 km", + " Detour % = (1517.7 / 18433.0) × 100 = 8.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 8.2% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -38.13874, + "lon": 176.24516, + "name": "Rotorua" + }, + "end": { + "lat": 15.365, + "lon": -16.4339, + "name": "Kébémer" + }, + "waypoint": { + "lat": 50.98923, + "lon": 5.05062, + "name": "Diest" + }, + "question": "Is Diest approximately on the direct path from Rotorua to Kébémer?", + "ground_truth": { + "answer": false, + "direct_distance_km": 17193.9, + "via_waypoint_km": 22829.3, + "detour_km": 5635.4, + "detour_percent": 32.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Rotorua", + " End: Kébémer", + " Waypoint: Diest", + "Step 2: Calculate direct distance", + " Start → End: 17193.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22829.3 km", + "Step 4: Calculate detour", + " Detour = 22829.3 - 17193.9 = 5635.4 km", + " Detour % = (5635.4 / 17193.9) × 100 = 32.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 32.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 47.61667, + "lon": 21.35, + "name": "Balmazújváros" + }, + "end": { + "lat": 45.56667, + "lon": -73.66667, + "name": "Ahuntsic-Cartierville" + }, + "waypoint": { + "lat": 8.1, + "lon": -80.98333, + "name": "Santiago de Veraguas" + }, + "question": "Is Santiago de Veraguas approximately on the direct path from Balmazújváros to Ahuntsic-Cartierville?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6772.9, + "via_waypoint_km": 14477.6, + "detour_km": 7704.6, + "detour_percent": 113.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Balmazújváros", + " End: Ahuntsic-Cartierville", + " Waypoint: Santiago de Veraguas", + "Step 2: Calculate direct distance", + " Start → End: 6772.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14477.6 km", + "Step 4: Calculate detour", + " Detour = 14477.6 - 6772.9 = 7704.6 km", + " Detour % = (7704.6 / 6772.9) × 100 = 113.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 113.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.1221, + "lon": 13.11027, + "name": "Döbeln" + }, + "end": { + "lat": 49.34449, + "lon": 7.18045, + "name": "Neunkirchen" + }, + "waypoint": { + "lat": 20.46067, + "lon": 45.57792, + "name": "As Sulayyil" + }, + "question": "Is As Sulayyil approximately on the direct path from Döbeln to Neunkirchen?", + "ground_truth": { + "answer": false, + "direct_distance_km": 465.6, + "via_waypoint_km": 9091.6, + "detour_km": 8626.0, + "detour_percent": 1852.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Döbeln", + " End: Neunkirchen", + " Waypoint: As Sulayyil", + "Step 2: Calculate direct distance", + " Start → End: 465.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9091.6 km", + "Step 4: Calculate detour", + " Detour = 9091.6 - 465.6 = 8626.0 km", + " Detour % = (8626.0 / 465.6) × 100 = 1852.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1852.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 24.5595, + "lon": 84.79162, + "name": "Sherghāti" + }, + "end": { + "lat": -0.95759, + "lon": -78.69636, + "name": "Pujilí" + }, + "waypoint": { + "lat": 53.67978, + "lon": -1.58006, + "name": "Ossett" + }, + "question": "Is Ossett approximately on the direct path from Sherghāti to Pujilí?", + "ground_truth": { + "answer": true, + "direct_distance_km": 16846.4, + "via_waypoint_km": 16850.1, + "detour_km": 3.7, + "detour_percent": 0.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sherghāti", + " End: Pujilí", + " Waypoint: Ossett", + "Step 2: Calculate direct distance", + " Start → End: 16846.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16850.1 km", + "Step 4: Calculate detour", + " Detour = 16850.1 - 16846.4 = 3.7 km", + " Detour % = (3.7 / 16846.4) × 100 = 0.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.0% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 19.45512, + "lon": 76.44073, + "name": "Selu" + }, + "end": { + "lat": -16.16864, + "lon": 49.76622, + "name": "Mananara" + }, + "waypoint": { + "lat": 40.45245, + "lon": -3.70763, + "name": "Bellas Vistas" + }, + "question": "Is Bellas Vistas approximately on the direct path from Selu to Mananara?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4918.8, + "via_waypoint_km": 16174.3, + "detour_km": 11255.5, + "detour_percent": 228.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Selu", + " End: Mananara", + " Waypoint: Bellas Vistas", + "Step 2: Calculate direct distance", + " Start → End: 4918.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16174.3 km", + "Step 4: Calculate detour", + " Detour = 16174.3 - 4918.8 = 11255.5 km", + " Detour % = (11255.5 / 4918.8) × 100 = 228.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 228.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 19.38119, + "lon": -99.13685, + "name": "Colonia Nativitas" + }, + "end": { + "lat": 40.24537, + "lon": -75.64963, + "name": "Pottstown" + }, + "waypoint": { + "lat": -11.07, + "lon": -77.59944, + "name": "Huaura" + }, + "question": "Is Huaura approximately on the direct path from Colonia Nativitas to Pottstown?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3222.7, + "via_waypoint_km": 9836.6, + "detour_km": 6613.9, + "detour_percent": 205.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Colonia Nativitas", + " End: Pottstown", + " Waypoint: Huaura", + "Step 2: Calculate direct distance", + " Start → End: 3222.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9836.6 km", + "Step 4: Calculate detour", + " Detour = 9836.6 - 3222.7 = 6613.9 km", + " Detour % = (6613.9 / 3222.7) × 100 = 205.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 205.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 30.21035, + "lon": 31.36812, + "name": "Al Khānkah" + }, + "end": { + "lat": -0.52731, + "lon": 34.45714, + "name": "Homa Bay" + }, + "waypoint": { + "lat": 39.41955, + "lon": -76.78025, + "name": "Owings Mills" + }, + "question": "Is Owings Mills approximately on the direct path from Al Khānkah to Homa Bay?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3433.5, + "via_waypoint_km": 21148.4, + "detour_km": 17715.0, + "detour_percent": 515.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Al Khānkah", + " End: Homa Bay", + " Waypoint: Owings Mills", + "Step 2: Calculate direct distance", + " Start → End: 3433.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21148.4 km", + "Step 4: Calculate detour", + " Detour = 21148.4 - 3433.5 = 17715.0 km", + " Detour % = (17715.0 / 3433.5) × 100 = 515.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 515.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 27.19395, + "lon": 95.31929, + "name": "Nāmrup" + }, + "end": { + "lat": 21.0, + "lon": 105.83333, + "name": "Trung Phụng" + }, + "waypoint": { + "lat": 11.91178, + "lon": 105.65821, + "name": "Suong" + }, + "question": "Is Suong approximately on the direct path from Nāmrup to Trung Phụng?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1269.3, + "via_waypoint_km": 3023.5, + "detour_km": 1754.3, + "detour_percent": 138.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Nāmrup", + " End: Trung Phụng", + " Waypoint: Suong", + "Step 2: Calculate direct distance", + " Start → End: 1269.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 3023.5 km", + "Step 4: Calculate detour", + " Detour = 3023.5 - 1269.3 = 1754.3 km", + " Detour % = (1754.3 / 1269.3) × 100 = 138.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 138.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 45.15969, + "lon": -93.34967, + "name": "West Coon Rapids" + }, + "end": { + "lat": 14.42038, + "lon": -16.70258, + "name": "Thiadiaye" + }, + "waypoint": { + "lat": -34.5108, + "lon": -58.68059, + "name": "Villa de Mayo" + }, + "question": "Is Villa de Mayo approximately on the direct path from West Coon Rapids to Thiadiaye?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7835.9, + "via_waypoint_km": 16540.1, + "detour_km": 8704.2, + "detour_percent": 111.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: West Coon Rapids", + " End: Thiadiaye", + " Waypoint: Villa de Mayo", + "Step 2: Calculate direct distance", + " Start → End: 7835.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16540.1 km", + "Step 4: Calculate detour", + " Detour = 16540.1 - 7835.9 = 8704.2 km", + " Detour % = (8704.2 / 7835.9) × 100 = 111.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 111.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 31.17213, + "lon": -8.84728, + "name": "Imi-n-Tanout" + }, + "end": { + "lat": 26.24908, + "lon": 92.34764, + "name": "Morigaon" + }, + "waypoint": { + "lat": 37.60876, + "lon": -77.37331, + "name": "Mechanicsville" + }, + "question": "Is Mechanicsville approximately on the direct path from Imi-n-Tanout to Morigaon?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9497.7, + "via_waypoint_km": 19023.5, + "detour_km": 9525.8, + "detour_percent": 100.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Imi-n-Tanout", + " End: Morigaon", + " Waypoint: Mechanicsville", + "Step 2: Calculate direct distance", + " Start → End: 9497.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19023.5 km", + "Step 4: Calculate detour", + " Detour = 19023.5 - 9497.7 = 9525.8 km", + " Detour % = (9525.8 / 9497.7) × 100 = 100.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 100.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 45.69298, + "lon": 85.13942, + "name": "Baijiantan" + }, + "end": { + "lat": 41.87871, + "lon": -71.38256, + "name": "Pawtucket" + }, + "waypoint": { + "lat": -6.09401, + "lon": -36.47219, + "name": "Lagoa Nova" + }, + "question": "Is Lagoa Nova approximately on the direct path from Baijiantan to Pawtucket?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10003.2, + "via_waypoint_km": 19311.9, + "detour_km": 9308.8, + "detour_percent": 93.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Baijiantan", + " End: Pawtucket", + " Waypoint: Lagoa Nova", + "Step 2: Calculate direct distance", + " Start → End: 10003.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19311.9 km", + "Step 4: Calculate detour", + " Detour = 19311.9 - 10003.2 = 9308.8 km", + " Detour % = (9308.8 / 10003.2) × 100 = 93.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 93.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 53.6554, + "lon": 52.442, + "name": "Buguruslan" + }, + "end": { + "lat": 53.58399, + "lon": 9.97585, + "name": "Hoheluft-Ost" + }, + "waypoint": { + "lat": 42.21389, + "lon": 20.73972, + "name": "Prizren" + }, + "question": "Is Prizren approximately on the direct path from Buguruslan to Hoheluft-Ost?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2758.7, + "via_waypoint_km": 4145.4, + "detour_km": 1386.7, + "detour_percent": 50.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Buguruslan", + " End: Hoheluft-Ost", + " Waypoint: Prizren", + "Step 2: Calculate direct distance", + " Start → End: 2758.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 4145.4 km", + "Step 4: Calculate detour", + " Detour = 4145.4 - 2758.7 = 1386.7 km", + " Detour % = (1386.7 / 2758.7) × 100 = 50.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 50.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 35.92506, + "lon": -86.86889, + "name": "Franklin" + }, + "end": { + "lat": 39.41667, + "lon": -0.38333, + "name": "Alfafar" + }, + "waypoint": { + "lat": 14.51255, + "lon": -17.00447, + "name": "Nguékhokh" + }, + "question": "Is Nguékhokh approximately on the direct path from Franklin to Alfafar?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7309.8, + "via_waypoint_km": 10477.4, + "detour_km": 3167.6, + "detour_percent": 43.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Franklin", + " End: Alfafar", + " Waypoint: Nguékhokh", + "Step 2: Calculate direct distance", + " Start → End: 7309.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10477.4 km", + "Step 4: Calculate detour", + " Detour = 10477.4 - 7309.8 = 3167.6 km", + " Detour % = (3167.6 / 7309.8) × 100 = 43.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 43.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -17.73111, + "lon": -49.09944, + "name": "Morrinhos" + }, + "end": { + "lat": 30.46881, + "lon": -87.23608, + "name": "Brent" + }, + "waypoint": { + "lat": 13.44761, + "lon": 144.80109, + "name": "Mangilao Village" + }, + "question": "Is Mangilao Village approximately on the direct path from Morrinhos to Brent?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6735.6, + "via_waypoint_km": 31066.2, + "detour_km": 24330.7, + "detour_percent": 361.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Morrinhos", + " End: Brent", + " Waypoint: Mangilao Village", + "Step 2: Calculate direct distance", + " Start → End: 6735.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 31066.2 km", + "Step 4: Calculate detour", + " Detour = 31066.2 - 6735.6 = 24330.7 km", + " Detour % = (24330.7 / 6735.6) × 100 = 361.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 361.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 49.02049, + "lon": -122.79507, + "name": "White Rock" + }, + "end": { + "lat": -19.01809, + "lon": -40.5373, + "name": "São Gabriel da Palha" + }, + "waypoint": { + "lat": 50.13717, + "lon": 18.96641, + "name": "Tychy" + }, + "question": "Is Tychy approximately on the direct path from White Rock to São Gabriel da Palha?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11047.4, + "via_waypoint_km": 18043.8, + "detour_km": 6996.4, + "detour_percent": 63.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: White Rock", + " End: São Gabriel da Palha", + " Waypoint: Tychy", + "Step 2: Calculate direct distance", + " Start → End: 11047.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18043.8 km", + "Step 4: Calculate detour", + " Detour = 18043.8 - 11047.4 = 6996.4 km", + " Detour % = (6996.4 / 11047.4) × 100 = 63.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 63.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -20.99139, + "lon": -47.65861, + "name": "Brodowski" + }, + "end": { + "lat": 33.04083, + "lon": 108.23639, + "name": "Shiquan" + }, + "waypoint": { + "lat": 0.57139, + "lon": 33.74167, + "name": "Bugiri" + }, + "question": "Is Bugiri approximately on the direct path from Brodowski to Shiquan?", + "ground_truth": { + "answer": true, + "direct_distance_km": 17287.1, + "via_waypoint_km": 17670.3, + "detour_km": 383.2, + "detour_percent": 2.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Brodowski", + " End: Shiquan", + " Waypoint: Bugiri", + "Step 2: Calculate direct distance", + " Start → End: 17287.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17670.3 km", + "Step 4: Calculate detour", + " Detour = 17670.3 - 17287.1 = 383.2 km", + " Detour % = (383.2 / 17287.1) × 100 = 2.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2.2% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -30.11972, + "lon": -51.96222, + "name": "Butiá" + }, + "end": { + "lat": -31.89578, + "lon": 115.76431, + "name": "Scarborough" + }, + "waypoint": { + "lat": 49.98955, + "lon": 8.66852, + "name": "Langen" + }, + "question": "Is Langen approximately on the direct path from Butiá to Scarborough?", + "ground_truth": { + "answer": false, + "direct_distance_km": 12998.8, + "via_waypoint_km": 24554.2, + "detour_km": 11555.5, + "detour_percent": 88.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Butiá", + " End: Scarborough", + " Waypoint: Langen", + "Step 2: Calculate direct distance", + " Start → End: 12998.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24554.2 km", + "Step 4: Calculate detour", + " Detour = 24554.2 - 12998.8 = 11555.5 km", + " Detour % = (11555.5 / 12998.8) × 100 = 88.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 88.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 41.03522, + "lon": -111.93855, + "name": "Kaysville" + }, + "end": { + "lat": 30.12996, + "lon": -81.76815, + "name": "Lakeside" + }, + "waypoint": { + "lat": 26.5637, + "lon": 108.06585, + "name": "Sankeshu" + }, + "question": "Is Sankeshu approximately on the direct path from Kaysville to Lakeside?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2966.2, + "via_waypoint_km": 25066.5, + "detour_km": 22100.3, + "detour_percent": 745.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kaysville", + " End: Lakeside", + " Waypoint: Sankeshu", + "Step 2: Calculate direct distance", + " Start → End: 2966.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25066.5 km", + "Step 4: Calculate detour", + " Detour = 25066.5 - 2966.2 = 22100.3 km", + " Detour % = (22100.3 / 2966.2) × 100 = 745.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 745.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 22.48707, + "lon": 113.93962, + "name": "Shenzhenwan" + }, + "end": { + "lat": -7.95222, + "lon": 110.34861, + "name": "Pundong" + }, + "waypoint": { + "lat": 49.48062, + "lon": -119.58584, + "name": "Penticton" + }, + "question": "Is Penticton approximately on the direct path from Shenzhenwan to Pundong?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3407.2, + "via_waypoint_km": 23915.6, + "detour_km": 20508.4, + "detour_percent": 601.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Shenzhenwan", + " End: Pundong", + " Waypoint: Penticton", + "Step 2: Calculate direct distance", + " Start → End: 3407.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23915.6 km", + "Step 4: Calculate detour", + " Detour = 23915.6 - 3407.2 = 20508.4 km", + " Detour % = (20508.4 / 3407.2) × 100 = 601.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 601.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 31.41667, + "lon": 51.56667, + "name": "Semīrom" + }, + "end": { + "lat": 34.03333, + "lon": 117.95, + "name": "Weiji" + }, + "waypoint": { + "lat": -11.96944, + "lon": -41.26583, + "name": "Bonito" + }, + "question": "Is Bonito approximately on the direct path from Semīrom to Weiji?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6104.2, + "via_waypoint_km": 27745.1, + "detour_km": 21640.9, + "detour_percent": 354.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Semīrom", + " End: Weiji", + " Waypoint: Bonito", + "Step 2: Calculate direct distance", + " Start → End: 6104.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27745.1 km", + "Step 4: Calculate detour", + " Detour = 27745.1 - 6104.2 = 21640.9 km", + " Detour % = (21640.9 / 6104.2) × 100 = 354.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 354.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -25.28646, + "lon": -57.647, + "name": "Asunción" + }, + "end": { + "lat": 37.70573, + "lon": -92.15717, + "name": "Fort Leonard Wood" + }, + "waypoint": { + "lat": 20.27193, + "lon": 81.49177, + "name": "Kānker" + }, + "question": "Is Kānker approximately on the direct path from Asunción to Fort Leonard Wood?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7876.9, + "via_waypoint_km": 29338.9, + "detour_km": 21462.0, + "detour_percent": 272.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Asunción", + " End: Fort Leonard Wood", + " Waypoint: Kānker", + "Step 2: Calculate direct distance", + " Start → End: 7876.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 29338.9 km", + "Step 4: Calculate detour", + " Detour = 29338.9 - 7876.9 = 21462.0 km", + " Detour % = (21462.0 / 7876.9) × 100 = 272.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 272.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.37982, + "lon": 9.01445, + "name": "Bad Arolsen" + }, + "end": { + "lat": 42.95947, + "lon": -85.48975, + "name": "Forest Hills" + }, + "waypoint": { + "lat": 11.38016, + "lon": 77.89444, + "name": "Tiruchengode" + }, + "question": "Is Tiruchengode approximately on the direct path from Bad Arolsen to Forest Hills?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6696.9, + "via_waypoint_km": 21301.9, + "detour_km": 14605.0, + "detour_percent": 218.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bad Arolsen", + " End: Forest Hills", + " Waypoint: Tiruchengode", + "Step 2: Calculate direct distance", + " Start → End: 6696.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21301.9 km", + "Step 4: Calculate detour", + " Detour = 21301.9 - 6696.9 = 14605.0 km", + " Detour % = (14605.0 / 6696.9) × 100 = 218.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 218.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 38.74134, + "lon": -9.16133, + "name": "Sete Rios" + }, + "end": { + "lat": 42.82306, + "lon": 20.9675, + "name": "Vushtrri" + }, + "waypoint": { + "lat": 11.22191, + "lon": -4.64423, + "name": "Karankasso" + }, + "question": "Is Karankasso approximately on the direct path from Sete Rios to Vushtrri?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2562.9, + "via_waypoint_km": 7389.8, + "detour_km": 4826.9, + "detour_percent": 188.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sete Rios", + " End: Vushtrri", + " Waypoint: Karankasso", + "Step 2: Calculate direct distance", + " Start → End: 2562.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 7389.8 km", + "Step 4: Calculate detour", + " Detour = 7389.8 - 2562.9 = 4826.9 km", + " Detour % = (4826.9 / 2562.9) × 100 = 188.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 188.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.56566, + "lon": -3.26753, + "name": "Azuqueca de Henares" + }, + "end": { + "lat": 49.20697, + "lon": 37.27679, + "name": "Izium" + }, + "waypoint": { + "lat": -21.61, + "lon": -45.56528, + "name": "Elói Mendes" + }, + "question": "Is Elói Mendes approximately on the direct path from Azuqueca de Henares to Izium?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3291.5, + "via_waypoint_km": 19491.1, + "detour_km": 16199.6, + "detour_percent": 492.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Azuqueca de Henares", + " End: Izium", + " Waypoint: Elói Mendes", + "Step 2: Calculate direct distance", + " Start → End: 3291.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19491.1 km", + "Step 4: Calculate detour", + " Detour = 19491.1 - 3291.5 = 16199.6 km", + " Detour % = (16199.6 / 3291.5) × 100 = 492.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 492.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -36.9382, + "lon": 174.84019, + "name": "Otahuhu" + }, + "end": { + "lat": 37.90631, + "lon": -122.06496, + "name": "Walnut Creek" + }, + "waypoint": { + "lat": 50.69075, + "lon": 16.623, + "name": "Bielawa" + }, + "question": "Is Bielawa approximately on the direct path from Otahuhu to Walnut Creek?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10542.3, + "via_waypoint_km": 27078.5, + "detour_km": 16536.2, + "detour_percent": 156.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Otahuhu", + " End: Walnut Creek", + " Waypoint: Bielawa", + "Step 2: Calculate direct distance", + " Start → End: 10542.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27078.5 km", + "Step 4: Calculate detour", + " Detour = 27078.5 - 10542.3 = 16536.2 km", + " Detour % = (16536.2 / 10542.3) × 100 = 156.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 156.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -4.55, + "lon": 34.85, + "name": "Mtinko" + }, + "end": { + "lat": -17.8415, + "lon": 30.87674, + "name": "Harare Western Suburbs" + }, + "waypoint": { + "lat": 36.64088, + "lon": 52.91206, + "name": "Jūybār" + }, + "question": "Is Jūybār approximately on the direct path from Mtinko to Harare Western Suburbs?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1539.9, + "via_waypoint_km": 11434.5, + "detour_km": 9894.6, + "detour_percent": 642.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mtinko", + " End: Harare Western Suburbs", + " Waypoint: Jūybār", + "Step 2: Calculate direct distance", + " Start → End: 1539.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11434.5 km", + "Step 4: Calculate detour", + " Detour = 11434.5 - 1539.9 = 9894.6 km", + " Detour % = (9894.6 / 1539.9) × 100 = 642.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 642.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 37.26638, + "lon": -6.94004, + "name": "Huelva" + }, + "end": { + "lat": -31.83291, + "lon": 115.7759, + "name": "Duncraig" + }, + "waypoint": { + "lat": 9.08297, + "lon": 3.85196, + "name": "Kisi" + }, + "question": "Is Kisi approximately on the direct path from Huelva to Duncraig?", + "ground_truth": { + "answer": true, + "direct_distance_km": 14813.5, + "via_waypoint_km": 15921.5, + "detour_km": 1108.1, + "detour_percent": 7.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Huelva", + " End: Duncraig", + " Waypoint: Kisi", + "Step 2: Calculate direct distance", + " Start → End: 14813.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15921.5 km", + "Step 4: Calculate detour", + " Detour = 15921.5 - 14813.5 = 1108.1 km", + " Detour % = (1108.1 / 14813.5) × 100 = 7.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 7.5% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 17.30858, + "lon": 97.01124, + "name": "Kyaikto" + }, + "end": { + "lat": -33.78333, + "lon": 150.93333, + "name": "Seven Hills" + }, + "waypoint": { + "lat": 48.79266, + "lon": 2.46569, + "name": "Créteil" + }, + "question": "Is Créteil approximately on the direct path from Kyaikto to Seven Hills?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8054.0, + "via_waypoint_km": 25823.5, + "detour_km": 17769.5, + "detour_percent": 220.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kyaikto", + " End: Seven Hills", + " Waypoint: Créteil", + "Step 2: Calculate direct distance", + " Start → End: 8054.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25823.5 km", + "Step 4: Calculate detour", + " Detour = 25823.5 - 8054.0 = 17769.5 km", + " Detour % = (17769.5 / 8054.0) × 100 = 220.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 220.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 14.42139, + "lon": 78.22502, + "name": "Pulivendla" + }, + "end": { + "lat": 48.62861, + "lon": 18.38455, + "name": "Partizánske" + }, + "waypoint": { + "lat": -37.75, + "lon": 144.96667, + "name": "Coburg" + }, + "question": "Is Coburg approximately on the direct path from Pulivendla to Partizánske?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6609.0, + "via_waypoint_km": 24664.3, + "detour_km": 18055.3, + "detour_percent": 273.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Pulivendla", + " End: Partizánske", + " Waypoint: Coburg", + "Step 2: Calculate direct distance", + " Start → End: 6609.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24664.3 km", + "Step 4: Calculate detour", + " Detour = 24664.3 - 6609.0 = 18055.3 km", + " Detour % = (18055.3 / 6609.0) × 100 = 273.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 273.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.3, + "lon": 136.33333, + "name": "Kaga" + }, + "end": { + "lat": 36.72895, + "lon": 68.857, + "name": "Kunduz" + }, + "waypoint": { + "lat": -12.13588, + "lon": -77.00742, + "name": "Santiago de Surco" + }, + "question": "Is Santiago de Surco approximately on the direct path from Kaga to Kunduz?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5896.0, + "via_waypoint_km": 31384.6, + "detour_km": 25488.6, + "detour_percent": 432.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kaga", + " End: Kunduz", + " Waypoint: Santiago de Surco", + "Step 2: Calculate direct distance", + " Start → End: 5896.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 31384.6 km", + "Step 4: Calculate detour", + " Detour = 31384.6 - 5896.0 = 25488.6 km", + " Detour % = (25488.6 / 5896.0) × 100 = 432.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 432.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 50.04364, + "lon": 14.40162, + "name": "Hlubočepy" + }, + "end": { + "lat": -13.54323, + "lon": 23.10467, + "name": "Zambezi" + }, + "waypoint": { + "lat": 10.75051, + "lon": 78.77626, + "name": "Navalpattu" + }, + "question": "Is Navalpattu approximately on the direct path from Hlubočepy to Zambezi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7121.6, + "via_waypoint_km": 13983.9, + "detour_km": 6862.4, + "detour_percent": 96.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Hlubočepy", + " End: Zambezi", + " Waypoint: Navalpattu", + "Step 2: Calculate direct distance", + " Start → End: 7121.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13983.9 km", + "Step 4: Calculate detour", + " Detour = 13983.9 - 7121.6 = 6862.4 km", + " Detour % = (6862.4 / 7121.6) × 100 = 96.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 96.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 12.71667, + "lon": 30.65, + "name": "Ar Rahad" + }, + "end": { + "lat": -7.46856, + "lon": 17.03769, + "name": "Cambundi" + }, + "waypoint": { + "lat": 32.84755, + "lon": -115.56944, + "name": "Imperial" + }, + "question": "Is Imperial approximately on the direct path from Ar Rahad to Cambundi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2701.9, + "via_waypoint_km": 28193.9, + "detour_km": 25492.0, + "detour_percent": 943.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ar Rahad", + " End: Cambundi", + " Waypoint: Imperial", + "Step 2: Calculate direct distance", + " Start → End: 2701.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 28193.9 km", + "Step 4: Calculate detour", + " Detour = 28193.9 - 2701.9 = 25492.0 km", + " Detour % = (25492.0 / 2701.9) × 100 = 943.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 943.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 19.22906, + "lon": -98.92504, + "name": "San Mateo Huitzilzingo" + }, + "end": { + "lat": 29.1988, + "lon": 54.3278, + "name": "Neyrīz" + }, + "waypoint": { + "lat": -38.16604, + "lon": 145.13643, + "name": "Frankston South" + }, + "question": "Is Frankston South approximately on the direct path from San Mateo Huitzilzingo to Neyrīz?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13913.3, + "via_waypoint_km": 25576.4, + "detour_km": 11663.1, + "detour_percent": 83.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: San Mateo Huitzilzingo", + " End: Neyrīz", + " Waypoint: Frankston South", + "Step 2: Calculate direct distance", + " Start → End: 13913.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25576.4 km", + "Step 4: Calculate detour", + " Detour = 25576.4 - 13913.3 = 11663.1 km", + " Detour % = (11663.1 / 13913.3) × 100 = 83.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 83.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -24.50944, + "lon": -48.8425, + "name": "Apiaí" + }, + "end": { + "lat": 31.21452, + "lon": 31.35798, + "name": "Bilqās" + }, + "waypoint": { + "lat": 37.95, + "lon": 58.38333, + "name": "Ashgabat" + }, + "question": "Is Ashgabat approximately on the direct path from Apiaí to Bilqās?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10534.0, + "via_waypoint_km": 15682.0, + "detour_km": 5147.9, + "detour_percent": 48.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Apiaí", + " End: Bilqās", + " Waypoint: Ashgabat", + "Step 2: Calculate direct distance", + " Start → End: 10534.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15682.0 km", + "Step 4: Calculate detour", + " Detour = 15682.0 - 10534.0 = 5147.9 km", + " Detour % = (5147.9 / 10534.0) × 100 = 48.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 48.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 38.11858, + "lon": 140.72434, + "name": "Murata" + }, + "end": { + "lat": 35.74708, + "lon": 51.27739, + "name": "Andīsheh" + }, + "waypoint": { + "lat": 42.64125, + "lon": 18.10909, + "name": "Dubrovnik" + }, + "question": "Is Dubrovnik approximately on the direct path from Murata to Andīsheh?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7614.9, + "via_waypoint_km": 12268.2, + "detour_km": 4653.3, + "detour_percent": 61.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Murata", + " End: Andīsheh", + " Waypoint: Dubrovnik", + "Step 2: Calculate direct distance", + " Start → End: 7614.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12268.2 km", + "Step 4: Calculate detour", + " Detour = 12268.2 - 7614.9 = 4653.3 km", + " Detour % = (4653.3 / 7614.9) × 100 = 61.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 61.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 14.3807, + "lon": 75.25007, + "name": "Sirālkoppa" + }, + "end": { + "lat": 10.24212, + "lon": 105.155, + "name": "Óc Eo" + }, + "waypoint": { + "lat": -10.96667, + "lon": 22.9, + "name": "Tshilenge" + }, + "question": "Is Tshilenge approximately on the direct path from Sirālkoppa to Óc Eo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3278.7, + "via_waypoint_km": 15813.9, + "detour_km": 12535.2, + "detour_percent": 382.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sirālkoppa", + " End: Óc Eo", + " Waypoint: Tshilenge", + "Step 2: Calculate direct distance", + " Start → End: 3278.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15813.9 km", + "Step 4: Calculate detour", + " Detour = 15813.9 - 3278.7 = 12535.2 km", + " Detour % = (12535.2 / 3278.7) × 100 = 382.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 382.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -22.42313, + "lon": -42.96612, + "name": "São Pedro" + }, + "end": { + "lat": 51.65468, + "lon": -0.27762, + "name": "Borehamwood" + }, + "waypoint": { + "lat": 25.19413, + "lon": 32.6771, + "name": "As Sibā‘īyah" + }, + "question": "Is As Sibā‘īyah approximately on the direct path from São Pedro to Borehamwood?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9225.9, + "via_waypoint_km": 13767.8, + "detour_km": 4541.9, + "detour_percent": 49.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: São Pedro", + " End: Borehamwood", + " Waypoint: As Sibā‘īyah", + "Step 2: Calculate direct distance", + " Start → End: 9225.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13767.8 km", + "Step 4: Calculate detour", + " Detour = 13767.8 - 9225.9 = 4541.9 km", + " Detour % = (4541.9 / 9225.9) × 100 = 49.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 49.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 8.21896, + "lon": 5.50757, + "name": "Egbe" + }, + "end": { + "lat": -32.63021, + "lon": -62.68883, + "name": "Bell Ville" + }, + "waypoint": { + "lat": 40.92606, + "lon": 14.52816, + "name": "Nola" + }, + "question": "Is Nola approximately on the direct path from Egbe to Bell Ville?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8512.6, + "via_waypoint_km": 15115.9, + "detour_km": 6603.3, + "detour_percent": 77.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Egbe", + " End: Bell Ville", + " Waypoint: Nola", + "Step 2: Calculate direct distance", + " Start → End: 8512.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15115.9 km", + "Step 4: Calculate detour", + " Detour = 15115.9 - 8512.6 = 6603.3 km", + " Detour % = (6603.3 / 8512.6) × 100 = 77.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 77.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -33.52314, + "lon": 151.31325, + "name": "Umina Beach" + }, + "end": { + "lat": -36.9482, + "lon": 174.87019, + "name": "Otara" + }, + "waypoint": { + "lat": -24.68667, + "lon": 33.53056, + "name": "Chibuto" + }, + "question": "Is Chibuto approximately on the direct path from Umina Beach to Otara?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2167.4, + "via_waypoint_km": 22845.0, + "detour_km": 20677.7, + "detour_percent": 954.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Umina Beach", + " End: Otara", + " Waypoint: Chibuto", + "Step 2: Calculate direct distance", + " Start → End: 2167.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22845.0 km", + "Step 4: Calculate detour", + " Detour = 22845.0 - 2167.4 = 20677.7 km", + " Detour % = (20677.7 / 2167.4) × 100 = 954.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 954.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 12.14484, + "lon": 5.11776, + "name": "Gummi" + }, + "end": { + "lat": 9.25778, + "lon": -73.81228, + "name": "Chimichagua" + }, + "waypoint": { + "lat": -5.35, + "lon": -40.38333, + "name": "Várzea Alegre" + }, + "question": "Is Várzea Alegre approximately on the direct path from Gummi to Chimichagua?", + "ground_truth": { + "answer": true, + "direct_distance_km": 8600.2, + "via_waypoint_km": 9438.2, + "detour_km": 838.1, + "detour_percent": 9.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Gummi", + " End: Chimichagua", + " Waypoint: Várzea Alegre", + "Step 2: Calculate direct distance", + " Start → End: 8600.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9438.2 km", + "Step 4: Calculate detour", + " Detour = 9438.2 - 8600.2 = 838.1 km", + " Detour % = (838.1 / 8600.2) × 100 = 9.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 9.7% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 18.09894, + "lon": -15.98848, + "name": "Tevragh Zeina" + }, + "end": { + "lat": -37.97695, + "lon": 145.25866, + "name": "Endeavour Hills" + }, + "waypoint": { + "lat": 13.85585, + "lon": 100.86216, + "name": "Nong Chok" + }, + "question": "Is Nong Chok approximately on the direct path from Tevragh Zeina to Endeavour Hills?", + "ground_truth": { + "answer": false, + "direct_distance_km": 17151.0, + "via_waypoint_km": 19623.7, + "detour_km": 2472.6, + "detour_percent": 14.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tevragh Zeina", + " End: Endeavour Hills", + " Waypoint: Nong Chok", + "Step 2: Calculate direct distance", + " Start → End: 17151.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19623.7 km", + "Step 4: Calculate detour", + " Detour = 19623.7 - 17151.0 = 2472.6 km", + " Detour % = (2472.6 / 17151.0) × 100 = 14.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 14.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 44.85614, + "lon": -0.53355, + "name": "Cenon" + }, + "end": { + "lat": 37.36883, + "lon": -122.03635, + "name": "Sunnyvale" + }, + "waypoint": { + "lat": -11.95833, + "lon": -38.975, + "name": "Santa Bárbara" + }, + "question": "Is Santa Bárbara approximately on the direct path from Cenon to Sunnyvale?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9153.1, + "via_waypoint_km": 17616.8, + "detour_km": 8463.6, + "detour_percent": 92.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Cenon", + " End: Sunnyvale", + " Waypoint: Santa Bárbara", + "Step 2: Calculate direct distance", + " Start → End: 9153.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17616.8 km", + "Step 4: Calculate detour", + " Detour = 17616.8 - 9153.1 = 8463.6 km", + " Detour % = (8463.6 / 9153.1) × 100 = 92.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 92.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 34.87833, + "lon": -1.315, + "name": "Tlemcen" + }, + "end": { + "lat": 12.46399, + "lon": 79.3484, + "name": "Chetput" + }, + "waypoint": { + "lat": 43.76672, + "lon": -79.39909, + "name": "Willowdale" + }, + "question": "Is Willowdale approximately on the direct path from Tlemcen to Chetput?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8375.5, + "via_waypoint_km": 19941.0, + "detour_km": 11565.5, + "detour_percent": 138.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tlemcen", + " End: Chetput", + " Waypoint: Willowdale", + "Step 2: Calculate direct distance", + " Start → End: 8375.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19941.0 km", + "Step 4: Calculate detour", + " Detour = 19941.0 - 8375.5 = 11565.5 km", + " Detour % = (11565.5 / 8375.5) × 100 = 138.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 138.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 28.61222, + "lon": -80.80755, + "name": "Titusville" + }, + "end": { + "lat": 12.05288, + "lon": -61.75226, + "name": "Saint George's" + }, + "waypoint": { + "lat": 19.80806, + "lon": 84.79084, + "name": "Buguda" + }, + "question": "Is Buguda approximately on the direct path from Titusville to Saint George's?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2700.8, + "via_waypoint_km": 29333.0, + "detour_km": 26632.1, + "detour_percent": 986.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Titusville", + " End: Saint George's", + " Waypoint: Buguda", + "Step 2: Calculate direct distance", + " Start → End: 2700.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 29333.0 km", + "Step 4: Calculate detour", + " Detour = 29333.0 - 2700.8 = 26632.1 km", + " Detour % = (26632.1 / 2700.8) × 100 = 986.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 986.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -37.75819, + "lon": 145.00583, + "name": "Thornbury" + }, + "end": { + "lat": -2.1709, + "lon": 115.4077, + "name": "Tanjung" + }, + "waypoint": { + "lat": -34.45256, + "lon": -58.64312, + "name": "General Pacheco" + }, + "question": "Is General Pacheco approximately on the direct path from Thornbury to Tanjung?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4976.4, + "via_waypoint_km": 27518.0, + "detour_km": 22541.6, + "detour_percent": 453.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Thornbury", + " End: Tanjung", + " Waypoint: General Pacheco", + "Step 2: Calculate direct distance", + " Start → End: 4976.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27518.0 km", + "Step 4: Calculate detour", + " Detour = 27518.0 - 4976.4 = 22541.6 km", + " Detour % = (22541.6 / 4976.4) × 100 = 453.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 453.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 52.84361, + "lon": -8.98639, + "name": "Ennis" + }, + "end": { + "lat": 4.15342, + "lon": 9.24231, + "name": "Buea" + }, + "waypoint": { + "lat": -27.17806, + "lon": -51.50472, + "name": "Joaçaba" + }, + "question": "Is Joaçaba approximately on the direct path from Ennis to Buea?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5666.2, + "via_waypoint_km": 17186.0, + "detour_km": 11519.8, + "detour_percent": 203.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ennis", + " End: Buea", + " Waypoint: Joaçaba", + "Step 2: Calculate direct distance", + " Start → End: 5666.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17186.0 km", + "Step 4: Calculate detour", + " Detour = 17186.0 - 5666.2 = 11519.8 km", + " Detour % = (11519.8 / 5666.2) × 100 = 203.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 203.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 19.66658, + "lon": -99.09477, + "name": "San Pablo de las Salinas" + }, + "end": { + "lat": 49.68657, + "lon": -124.9936, + "name": "Courtenay" + }, + "waypoint": { + "lat": 25.19725, + "lon": 73.29117, + "name": "Bāli" + }, + "question": "Is Bāli approximately on the direct path from San Pablo de las Salinas to Courtenay?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4050.0, + "via_waypoint_km": 26453.1, + "detour_km": 22403.1, + "detour_percent": 553.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: San Pablo de las Salinas", + " End: Courtenay", + " Waypoint: Bāli", + "Step 2: Calculate direct distance", + " Start → End: 4050.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26453.1 km", + "Step 4: Calculate detour", + " Detour = 26453.1 - 4050.0 = 22403.1 km", + " Detour % = (22403.1 / 4050.0) × 100 = 553.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 553.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -26.67028, + "lon": -57.14073, + "name": "San Juan Bautista" + }, + "end": { + "lat": -9.1175, + "lon": -37.73222, + "name": "Mata Grande" + }, + "waypoint": { + "lat": 47.42681, + "lon": 12.848, + "name": "Saalfelden am Steinernen Meer" + }, + "question": "Is Saalfelden am Steinernen Meer approximately on the direct path from San Juan Bautista to Mata Grande?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2824.9, + "via_waypoint_km": 18813.8, + "detour_km": 15988.9, + "detour_percent": 566.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: San Juan Bautista", + " End: Mata Grande", + " Waypoint: Saalfelden am Steinernen Meer", + "Step 2: Calculate direct distance", + " Start → End: 2824.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18813.8 km", + "Step 4: Calculate detour", + " Detour = 18813.8 - 2824.9 = 15988.9 km", + " Detour % = (15988.9 / 2824.9) × 100 = 566.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 566.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 9.5928, + "lon": -5.19449, + "name": "Ferkessédougou" + }, + "end": { + "lat": 10.15031, + "lon": -73.9614, + "name": "El Copey" + }, + "waypoint": { + "lat": -33.82346, + "lon": 150.94607, + "name": "Greystanes" + }, + "question": "Is Greystanes approximately on the direct path from Ferkessédougou to El Copey?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7518.1, + "via_waypoint_km": 31131.4, + "detour_km": 23613.3, + "detour_percent": 314.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ferkessédougou", + " End: El Copey", + " Waypoint: Greystanes", + "Step 2: Calculate direct distance", + " Start → End: 7518.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 31131.4 km", + "Step 4: Calculate detour", + " Detour = 31131.4 - 7518.1 = 23613.3 km", + " Detour % = (23613.3 / 7518.1) × 100 = 314.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 314.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 39.4, + "lon": -0.4, + "name": "Catarroja" + }, + "end": { + "lat": 36.35582, + "lon": 138.36093, + "name": "Tōmi" + }, + "waypoint": { + "lat": -33.68909, + "lon": -71.21528, + "name": "Melipilla" + }, + "question": "Is Melipilla approximately on the direct path from Catarroja to Tōmi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10592.6, + "via_waypoint_km": 28223.6, + "detour_km": 17631.1, + "detour_percent": 166.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Catarroja", + " End: Tōmi", + " Waypoint: Melipilla", + "Step 2: Calculate direct distance", + " Start → End: 10592.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 28223.6 km", + "Step 4: Calculate detour", + " Detour = 28223.6 - 10592.6 = 17631.1 km", + " Detour % = (17631.1 / 10592.6) × 100 = 166.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 166.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.60954, + "lon": -1.42187, + "name": "Grove" + }, + "end": { + "lat": 51.18612, + "lon": 7.49817, + "name": "Halver" + }, + "waypoint": { + "lat": 18.30334, + "lon": -99.33376, + "name": "Ciudad de Huitzuco" + }, + "question": "Is Ciudad de Huitzuco approximately on the direct path from Grove to Halver?", + "ground_truth": { + "answer": false, + "direct_distance_km": 620.2, + "via_waypoint_km": 18497.5, + "detour_km": 17877.3, + "detour_percent": 2882.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Grove", + " End: Halver", + " Waypoint: Ciudad de Huitzuco", + "Step 2: Calculate direct distance", + " Start → End: 620.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18497.5 km", + "Step 4: Calculate detour", + " Detour = 18497.5 - 620.2 = 17877.3 km", + " Detour % = (17877.3 / 620.2) × 100 = 2882.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2882.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 9.24194, + "lon": -74.42667, + "name": "Mompós" + }, + "end": { + "lat": -33.72197, + "lon": 151.04607, + "name": "Cherrybrook" + }, + "waypoint": { + "lat": 56.90544, + "lon": 24.05113, + "name": "Mārupe" + }, + "question": "Is Mārupe approximately on the direct path from Mompós to Cherrybrook?", + "ground_truth": { + "answer": false, + "direct_distance_km": 14641.1, + "via_waypoint_km": 24956.1, + "detour_km": 10315.0, + "detour_percent": 70.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mompós", + " End: Cherrybrook", + " Waypoint: Mārupe", + "Step 2: Calculate direct distance", + " Start → End: 14641.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24956.1 km", + "Step 4: Calculate detour", + " Detour = 24956.1 - 14641.1 = 10315.0 km", + " Detour % = (10315.0 / 14641.1) × 100 = 70.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 70.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 20.01757, + "lon": 76.03755, + "name": "Deūlgaon Rāja" + }, + "end": { + "lat": 51.28087, + "lon": 4.41813, + "name": "Ekeren" + }, + "waypoint": { + "lat": 51.73575, + "lon": 0.46958, + "name": "Chelmsford" + }, + "question": "Is Chelmsford approximately on the direct path from Deūlgaon Rāja to Ekeren?", + "ground_truth": { + "answer": true, + "direct_distance_km": 7016.7, + "via_waypoint_km": 7567.5, + "detour_km": 550.8, + "detour_percent": 7.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Deūlgaon Rāja", + " End: Ekeren", + " Waypoint: Chelmsford", + "Step 2: Calculate direct distance", + " Start → End: 7016.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 7567.5 km", + "Step 4: Calculate detour", + " Detour = 7567.5 - 7016.7 = 550.8 km", + " Detour % = (550.8 / 7016.7) × 100 = 7.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 7.9% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -38.03333, + "lon": 145.25, + "name": "Hampton Park" + }, + "end": { + "lat": 51.05089, + "lon": 13.73832, + "name": "Dresden" + }, + "waypoint": { + "lat": -21.93472, + "lon": -50.51361, + "name": "Tupã" + }, + "question": "Is Tupã approximately on the direct path from Hampton Park to Dresden?", + "ground_truth": { + "answer": false, + "direct_distance_km": 15993.8, + "via_waypoint_km": 23391.1, + "detour_km": 7397.3, + "detour_percent": 46.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Hampton Park", + " End: Dresden", + " Waypoint: Tupã", + "Step 2: Calculate direct distance", + " Start → End: 15993.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23391.1 km", + "Step 4: Calculate detour", + " Detour = 23391.1 - 15993.8 = 7397.3 km", + " Detour % = (7397.3 / 15993.8) × 100 = 46.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 46.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.38333, + "lon": 140.53333, + "name": "Katsuta" + }, + "end": { + "lat": -26.66331, + "lon": 28.59016, + "name": "Balfour" + }, + "waypoint": { + "lat": 6.09392, + "lon": -0.83599, + "name": "Kade" + }, + "question": "Is Kade approximately on the direct path from Katsuta to Balfour?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13604.3, + "via_waypoint_km": 18640.8, + "detour_km": 5036.5, + "detour_percent": 37.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Katsuta", + " End: Balfour", + " Waypoint: Kade", + "Step 2: Calculate direct distance", + " Start → End: 13604.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18640.8 km", + "Step 4: Calculate detour", + " Detour = 18640.8 - 13604.3 = 5036.5 km", + " Detour % = (5036.5 / 13604.3) × 100 = 37.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 37.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -18.07051, + "lon": 178.51313, + "name": "Nasinu" + }, + "end": { + "lat": -7.4475, + "lon": -35.24417, + "name": "Ferreiros" + }, + "waypoint": { + "lat": 40.72677, + "lon": -73.6343, + "name": "Garden City" + }, + "question": "Is Garden City approximately on the direct path from Nasinu to Ferreiros?", + "ground_truth": { + "answer": false, + "direct_distance_km": 15348.4, + "via_waypoint_km": 19431.1, + "detour_km": 4082.6, + "detour_percent": 26.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Nasinu", + " End: Ferreiros", + " Waypoint: Garden City", + "Step 2: Calculate direct distance", + " Start → End: 15348.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19431.1 km", + "Step 4: Calculate detour", + " Detour = 19431.1 - 15348.4 = 4082.6 km", + " Detour % = (4082.6 / 15348.4) × 100 = 26.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 26.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 28.53834, + "lon": -81.37924, + "name": "Orlando" + }, + "end": { + "lat": 36.09801, + "lon": -119.5604, + "name": "Corcoran" + }, + "waypoint": { + "lat": 30.09372, + "lon": 106.22227, + "name": "Dashi" + }, + "question": "Is Dashi approximately on the direct path from Orlando to Corcoran?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3660.3, + "via_waypoint_km": 24685.0, + "detour_km": 21024.6, + "detour_percent": 574.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Orlando", + " End: Corcoran", + " Waypoint: Dashi", + "Step 2: Calculate direct distance", + " Start → End: 3660.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24685.0 km", + "Step 4: Calculate detour", + " Detour = 24685.0 - 3660.3 = 21024.6 km", + " Detour % = (21024.6 / 3660.3) × 100 = 574.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 574.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 0.84917, + "lon": 32.47306, + "name": "Luwero" + }, + "end": { + "lat": -7.2, + "lon": 35.73333, + "name": "Izazi" + }, + "waypoint": { + "lat": 10.12111, + "lon": -69.03639, + "name": "Sabana de Parra" + }, + "question": "Is Sabana de Parra approximately on the direct path from Luwero to Izazi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 965.3, + "via_waypoint_km": 23006.1, + "detour_km": 22040.8, + "detour_percent": 2283.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Luwero", + " End: Izazi", + " Waypoint: Sabana de Parra", + "Step 2: Calculate direct distance", + " Start → End: 965.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23006.1 km", + "Step 4: Calculate detour", + " Detour = 23006.1 - 965.3 = 22040.8 km", + " Detour % = (22040.8 / 965.3) × 100 = 2283.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2283.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -37.96667, + "lon": 145.16667, + "name": "Noble Park" + }, + "end": { + "lat": 15.99714, + "lon": -61.73214, + "name": "Basse-Terre" + }, + "waypoint": { + "lat": 47.44663, + "lon": 126.92475, + "name": "Hailun" + }, + "question": "Is Hailun approximately on the direct path from Noble Park to Basse-Terre?", + "ground_truth": { + "answer": false, + "direct_distance_km": 16425.0, + "via_waypoint_km": 22576.4, + "detour_km": 6151.4, + "detour_percent": 37.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Noble Park", + " End: Basse-Terre", + " Waypoint: Hailun", + "Step 2: Calculate direct distance", + " Start → End: 16425.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22576.4 km", + "Step 4: Calculate detour", + " Detour = 22576.4 - 16425.0 = 6151.4 km", + " Detour % = (6151.4 / 16425.0) × 100 = 37.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 37.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 11.13232, + "lon": 75.88224, + "name": "Thenhippalam" + }, + "end": { + "lat": 32.2973, + "lon": -6.70301, + "name": "Souq Sebt Oulad Nemma" + }, + "waypoint": { + "lat": 41.62965, + "lon": -0.93873, + "name": "Montecanal" + }, + "question": "Is Montecanal approximately on the direct path from Thenhippalam to Souq Sebt Oulad Nemma?", + "ground_truth": { + "answer": true, + "direct_distance_km": 8658.3, + "via_waypoint_km": 9253.1, + "detour_km": 594.7, + "detour_percent": 6.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Thenhippalam", + " End: Souq Sebt Oulad Nemma", + " Waypoint: Montecanal", + "Step 2: Calculate direct distance", + " Start → End: 8658.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9253.1 km", + "Step 4: Calculate detour", + " Detour = 9253.1 - 8658.3 = 594.7 km", + " Detour % = (594.7 / 8658.3) × 100 = 6.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 6.9% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 28.06631, + "lon": 95.32678, + "name": "Pāsighāt" + }, + "end": { + "lat": 3.23333, + "lon": 10.73333, + "name": "Lolodorf" + }, + "waypoint": { + "lat": -34.54335, + "lon": -58.71229, + "name": "San Miguel" + }, + "question": "Is San Miguel approximately on the direct path from Pāsighāt to Lolodorf?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9308.2, + "via_waypoint_km": 25807.1, + "detour_km": 16498.9, + "detour_percent": 177.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Pāsighāt", + " End: Lolodorf", + " Waypoint: San Miguel", + "Step 2: Calculate direct distance", + " Start → End: 9308.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25807.1 km", + "Step 4: Calculate detour", + " Detour = 25807.1 - 9308.2 = 16498.9 km", + " Detour % = (16498.9 / 9308.2) × 100 = 177.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 177.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 34.73668, + "lon": 135.83994, + "name": "Kizugawa" + }, + "end": { + "lat": 8.48714, + "lon": -13.2356, + "name": "Freetown" + }, + "waypoint": { + "lat": 36.78222, + "lon": 10.9875, + "name": "Menzel Temime" + }, + "question": "Is Menzel Temime approximately on the direct path from Kizugawa to Freetown?", + "ground_truth": { + "answer": true, + "direct_distance_km": 14212.6, + "via_waypoint_km": 14214.1, + "detour_km": 1.5, + "detour_percent": 0.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kizugawa", + " End: Freetown", + " Waypoint: Menzel Temime", + "Step 2: Calculate direct distance", + " Start → End: 14212.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14214.1 km", + "Step 4: Calculate detour", + " Detour = 14214.1 - 14212.6 = 1.5 km", + " Detour % = (1.5 / 14212.6) × 100 = 0.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.0% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 33.61891, + "lon": -117.92895, + "name": "Newport Beach" + }, + "end": { + "lat": -10.73912, + "lon": 17.71766, + "name": "Luquembo" + }, + "waypoint": { + "lat": -7.22436, + "lon": -79.42476, + "name": "Chepén" + }, + "question": "Is Chepén approximately on the direct path from Newport Beach to Luquembo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 14843.0, + "via_waypoint_km": 16721.4, + "detour_km": 1878.4, + "detour_percent": 12.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Newport Beach", + " End: Luquembo", + " Waypoint: Chepén", + "Step 2: Calculate direct distance", + " Start → End: 14843.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16721.4 km", + "Step 4: Calculate detour", + " Detour = 16721.4 - 14843.0 = 1878.4 km", + " Detour % = (1878.4 / 14843.0) × 100 = 12.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 12.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 47.14121, + "lon": -122.27012, + "name": "South Hill" + }, + "end": { + "lat": 37.27528, + "lon": -107.88007, + "name": "Durango" + }, + "waypoint": { + "lat": -39.06667, + "lon": 174.08333, + "name": "New Plymouth" + }, + "question": "Is New Plymouth approximately on the direct path from South Hill to Durango?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1610.2, + "via_waypoint_km": 23111.3, + "detour_km": 21501.0, + "detour_percent": 1335.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: South Hill", + " End: Durango", + " Waypoint: New Plymouth", + "Step 2: Calculate direct distance", + " Start → End: 1610.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23111.3 km", + "Step 4: Calculate detour", + " Detour = 23111.3 - 1610.2 = 21501.0 km", + " Detour % = (21501.0 / 1610.2) × 100 = 1335.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1335.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 37.69224, + "lon": -97.33754, + "name": "Wichita" + }, + "end": { + "lat": 6.47268, + "lon": -5.70615, + "name": "Guépaouo" + }, + "waypoint": { + "lat": 0.7025, + "lon": 32.88861, + "name": "Kayunga" + }, + "question": "Is Kayunga approximately on the direct path from Wichita to Guépaouo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9710.9, + "via_waypoint_km": 17697.9, + "detour_km": 7987.0, + "detour_percent": 82.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Wichita", + " End: Guépaouo", + " Waypoint: Kayunga", + "Step 2: Calculate direct distance", + " Start → End: 9710.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17697.9 km", + "Step 4: Calculate detour", + " Detour = 17697.9 - 9710.9 = 7987.0 km", + " Detour % = (7987.0 / 9710.9) × 100 = 82.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 82.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 16.90742, + "lon": 74.59954, + "name": "Bhudgaon" + }, + "end": { + "lat": 19.69693, + "lon": 72.76543, + "name": "Pālghar" + }, + "waypoint": { + "lat": 50.72576, + "lon": 24.16265, + "name": "Novovolynsk" + }, + "question": "Is Novovolynsk approximately on the direct path from Bhudgaon to Pālghar?", + "ground_truth": { + "answer": false, + "direct_distance_km": 365.6, + "via_waypoint_km": 11277.7, + "detour_km": 10912.1, + "detour_percent": 2984.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bhudgaon", + " End: Pālghar", + " Waypoint: Novovolynsk", + "Step 2: Calculate direct distance", + " Start → End: 365.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11277.7 km", + "Step 4: Calculate detour", + " Detour = 11277.7 - 365.6 = 10912.1 km", + " Detour % = (10912.1 / 365.6) × 100 = 2984.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2984.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -33.92893, + "lon": 151.05111, + "name": "Punchbowl" + }, + "end": { + "lat": -36.8582, + "lon": 174.62019, + "name": "Lincoln" + }, + "waypoint": { + "lat": 42.94769, + "lon": 89.17886, + "name": "Turpan" + }, + "question": "Is Turpan approximately on the direct path from Punchbowl to Lincoln?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2155.5, + "via_waypoint_km": 22975.5, + "detour_km": 20820.0, + "detour_percent": 965.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Punchbowl", + " End: Lincoln", + " Waypoint: Turpan", + "Step 2: Calculate direct distance", + " Start → End: 2155.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22975.5 km", + "Step 4: Calculate detour", + " Detour = 22975.5 - 2155.5 = 20820.0 km", + " Detour % = (20820.0 / 2155.5) × 100 = 965.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 965.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -23.07444, + "lon": -44.95972, + "name": "Cunha" + }, + "end": { + "lat": 51.6, + "lon": 7.76667, + "name": "Bönen" + }, + "waypoint": { + "lat": 49.27784, + "lon": -123.12794, + "name": "Downtown" + }, + "question": "Is Downtown approximately on the direct path from Cunha to Bönen?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9759.4, + "via_waypoint_km": 18995.6, + "detour_km": 9236.2, + "detour_percent": 94.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Cunha", + " End: Bönen", + " Waypoint: Downtown", + "Step 2: Calculate direct distance", + " Start → End: 9759.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18995.6 km", + "Step 4: Calculate detour", + " Detour = 18995.6 - 9759.4 = 9236.2 km", + " Detour % = (9236.2 / 9759.4) × 100 = 94.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 94.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -17.7425, + "lon": -46.1725, + "name": "João Pinheiro" + }, + "end": { + "lat": 42.67037, + "lon": -71.30201, + "name": "Dracut" + }, + "waypoint": { + "lat": -27.38985, + "lon": 30.95469, + "name": "Frischgewaagd" + }, + "question": "Is Frischgewaagd approximately on the direct path from João Pinheiro to Dracut?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7193.6, + "via_waypoint_km": 20858.6, + "detour_km": 13665.0, + "detour_percent": 190.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: João Pinheiro", + " End: Dracut", + " Waypoint: Frischgewaagd", + "Step 2: Calculate direct distance", + " Start → End: 7193.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20858.6 km", + "Step 4: Calculate detour", + " Detour = 20858.6 - 7193.6 = 13665.0 km", + " Detour % = (13665.0 / 7193.6) × 100 = 190.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 190.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -17.5163, + "lon": -63.16778, + "name": "Warnes" + }, + "end": { + "lat": -1.74639, + "lon": -47.05944, + "name": "Capitão Poço" + }, + "waypoint": { + "lat": 10.91368, + "lon": 75.92118, + "name": "Tirur" + }, + "question": "Is Tirur approximately on the direct path from Warnes to Capitão Poço?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2484.2, + "via_waypoint_km": 29195.4, + "detour_km": 26711.2, + "detour_percent": 1075.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Warnes", + " End: Capitão Poço", + " Waypoint: Tirur", + "Step 2: Calculate direct distance", + " Start → End: 2484.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 29195.4 km", + "Step 4: Calculate detour", + " Detour = 29195.4 - 2484.2 = 26711.2 km", + " Detour % = (26711.2 / 2484.2) × 100 = 1075.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1075.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 8.36028, + "lon": -10.20639, + "name": "Foya Kamara" + }, + "end": { + "lat": 39.60094, + "lon": 47.14529, + "name": "Fizuli" + }, + "waypoint": { + "lat": 50.34524, + "lon": 83.51562, + "name": "Ridder" + }, + "question": "Is Ridder approximately on the direct path from Foya Kamara to Fizuli?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6642.7, + "via_waypoint_km": 12617.5, + "detour_km": 5974.8, + "detour_percent": 89.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Foya Kamara", + " End: Fizuli", + " Waypoint: Ridder", + "Step 2: Calculate direct distance", + " Start → End: 6642.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12617.5 km", + "Step 4: Calculate detour", + " Detour = 12617.5 - 6642.7 = 5974.8 km", + " Detour % = (5974.8 / 6642.7) × 100 = 89.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 89.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 48.8024, + "lon": 2.29346, + "name": "Châtillon" + }, + "end": { + "lat": 10.1477, + "lon": 76.23, + "name": "Parūr" + }, + "waypoint": { + "lat": -38.05916, + "lon": 145.40947, + "name": "Officer" + }, + "question": "Is Officer approximately on the direct path from Châtillon to Parūr?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7986.2, + "via_waypoint_km": 25783.5, + "detour_km": 17797.3, + "detour_percent": 222.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Châtillon", + " End: Parūr", + " Waypoint: Officer", + "Step 2: Calculate direct distance", + " Start → End: 7986.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25783.5 km", + "Step 4: Calculate detour", + " Detour = 25783.5 - 7986.2 = 17797.3 km", + " Detour % = (17797.3 / 7986.2) × 100 = 222.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 222.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 3.65, + "lon": 10.76667, + "name": "Eséka" + }, + "end": { + "lat": 36.60466, + "lon": 3.98437, + "name": "Maâtkas" + }, + "waypoint": { + "lat": 40.81748, + "lon": 16.41915, + "name": "Gravina in Puglia" + }, + "question": "Is Gravina in Puglia approximately on the direct path from Eséka to Maâtkas?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3729.5, + "via_waypoint_km": 5346.2, + "detour_km": 1616.7, + "detour_percent": 43.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Eséka", + " End: Maâtkas", + " Waypoint: Gravina in Puglia", + "Step 2: Calculate direct distance", + " Start → End: 3729.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 5346.2 km", + "Step 4: Calculate detour", + " Detour = 5346.2 - 3729.5 = 1616.7 km", + " Detour % = (1616.7 / 3729.5) × 100 = 43.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 43.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 50.18709, + "lon": 14.66326, + "name": "Brandýs nad Labem-Stará Boleslav" + }, + "end": { + "lat": 11.34979, + "lon": 76.79375, + "name": "Coonoor" + }, + "waypoint": { + "lat": -11.81361, + "lon": -37.61056, + "name": "Conde" + }, + "question": "Is Conde approximately on the direct path from Brandýs nad Labem-Stará Boleslav to Coonoor?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7072.1, + "via_waypoint_km": 21441.2, + "detour_km": 14369.1, + "detour_percent": 203.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Brandýs nad Labem-Stará Boleslav", + " End: Coonoor", + " Waypoint: Conde", + "Step 2: Calculate direct distance", + " Start → End: 7072.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21441.2 km", + "Step 4: Calculate detour", + " Detour = 21441.2 - 7072.1 = 14369.1 km", + " Detour % = (14369.1 / 7072.1) × 100 = 203.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 203.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 14.56739, + "lon": 100.72598, + "name": "Tha Ruea" + }, + "end": { + "lat": 31.18248, + "lon": 35.69999, + "name": "Qīr Moāv" + }, + "waypoint": { + "lat": -38.23291, + "lon": -72.33292, + "name": "Victoria" + }, + "question": "Is Victoria approximately on the direct path from Tha Ruea to Qīr Moāv?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6819.2, + "via_waypoint_km": 30851.3, + "detour_km": 24032.2, + "detour_percent": 352.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tha Ruea", + " End: Qīr Moāv", + " Waypoint: Victoria", + "Step 2: Calculate direct distance", + " Start → End: 6819.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 30851.3 km", + "Step 4: Calculate detour", + " Detour = 30851.3 - 6819.2 = 24032.2 km", + " Detour % = (24032.2 / 6819.2) × 100 = 352.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 352.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -16.8375, + "lon": 36.98556, + "name": "Mocuba" + }, + "end": { + "lat": 39.09112, + "lon": -94.41551, + "name": "Independence" + }, + "waypoint": { + "lat": 11.16669, + "lon": 77.33502, + "name": "Chettipālaiyam" + }, + "question": "Is Chettipālaiyam approximately on the direct path from Mocuba to Independence?", + "ground_truth": { + "answer": false, + "direct_distance_km": 14719.0, + "via_waypoint_km": 19780.8, + "detour_km": 5061.9, + "detour_percent": 34.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mocuba", + " End: Independence", + " Waypoint: Chettipālaiyam", + "Step 2: Calculate direct distance", + " Start → End: 14719.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19780.8 km", + "Step 4: Calculate detour", + " Detour = 19780.8 - 14719.0 = 5061.9 km", + " Detour % = (5061.9 / 14719.0) × 100 = 34.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 34.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 8.42729, + "lon": -82.43085, + "name": "David" + }, + "end": { + "lat": -34.46262, + "lon": -57.83976, + "name": "Colonia del Sacramento" + }, + "waypoint": { + "lat": 50.87325, + "lon": 5.5184, + "name": "Bilzen" + }, + "question": "Is Bilzen approximately on the direct path from David to Colonia del Sacramento?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5426.3, + "via_waypoint_km": 20465.5, + "detour_km": 15039.2, + "detour_percent": 277.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: David", + " End: Colonia del Sacramento", + " Waypoint: Bilzen", + "Step 2: Calculate direct distance", + " Start → End: 5426.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20465.5 km", + "Step 4: Calculate detour", + " Detour = 20465.5 - 5426.3 = 15039.2 km", + " Detour % = (15039.2 / 5426.3) × 100 = 277.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 277.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -37.6, + "lon": 144.95, + "name": "Craigieburn" + }, + "end": { + "lat": -33.95, + "lon": 151.13333, + "name": "Rockdale" + }, + "waypoint": { + "lat": 41.67176, + "lon": -72.94927, + "name": "Bristol" + }, + "question": "Is Bristol approximately on the direct path from Craigieburn to Rockdale?", + "ground_truth": { + "answer": false, + "direct_distance_km": 689.6, + "via_waypoint_km": 32857.6, + "detour_km": 32168.0, + "detour_percent": 4664.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Craigieburn", + " End: Rockdale", + " Waypoint: Bristol", + "Step 2: Calculate direct distance", + " Start → End: 689.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 32857.6 km", + "Step 4: Calculate detour", + " Detour = 32857.6 - 689.6 = 32168.0 km", + " Detour % = (32168.0 / 689.6) × 100 = 4664.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 4664.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 41.12314, + "lon": -8.64654, + "name": "Canidelo" + }, + "end": { + "lat": 52.32148, + "lon": 124.69761, + "name": "Tahe" + }, + "waypoint": { + "lat": -18.4, + "lon": 47.86667, + "name": "Anjozorobe" + }, + "question": "Is Anjozorobe approximately on the direct path from Canidelo to Tahe?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8695.5, + "via_waypoint_km": 19569.6, + "detour_km": 10874.1, + "detour_percent": 125.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Canidelo", + " End: Tahe", + " Waypoint: Anjozorobe", + "Step 2: Calculate direct distance", + " Start → End: 8695.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19569.6 km", + "Step 4: Calculate detour", + " Detour = 19569.6 - 8695.5 = 10874.1 km", + " Detour % = (10874.1 / 8695.5) × 100 = 125.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 125.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -33.96722, + "lon": 18.50214, + "name": "Athlone" + }, + "end": { + "lat": 0.49194, + "lon": 35.74303, + "name": "Kabarnet" + }, + "waypoint": { + "lat": 26.34197, + "lon": 89.21555, + "name": "Mātābhānga" + }, + "question": "Is Mātābhānga approximately on the direct path from Athlone to Kabarnet?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4233.1, + "via_waypoint_km": 16417.6, + "detour_km": 12184.4, + "detour_percent": 287.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Athlone", + " End: Kabarnet", + " Waypoint: Mātābhānga", + "Step 2: Calculate direct distance", + " Start → End: 4233.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16417.6 km", + "Step 4: Calculate detour", + " Detour = 16417.6 - 4233.1 = 12184.4 km", + " Detour % = (12184.4 / 4233.1) × 100 = 287.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 287.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 48.96667, + "lon": 2.25, + "name": "Sannois" + }, + "end": { + "lat": 31.17068, + "lon": 74.10126, + "name": "Kot Radha Kishan" + }, + "waypoint": { + "lat": 13.71971, + "lon": -88.93309, + "name": "Cojutepeque" + }, + "question": "Is Cojutepeque approximately on the direct path from Sannois to Kot Radha Kishan?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6179.1, + "via_waypoint_km": 23651.5, + "detour_km": 17472.4, + "detour_percent": 282.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sannois", + " End: Kot Radha Kishan", + " Waypoint: Cojutepeque", + "Step 2: Calculate direct distance", + " Start → End: 6179.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23651.5 km", + "Step 4: Calculate detour", + " Detour = 23651.5 - 6179.1 = 17472.4 km", + " Detour % = (17472.4 / 6179.1) × 100 = 282.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 282.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 12.4825, + "lon": -87.17304, + "name": "Corinto" + }, + "end": { + "lat": -23.77806, + "lon": -45.35806, + "name": "Ilhabela" + }, + "waypoint": { + "lat": 40.47033, + "lon": 0.47559, + "name": "Vinaròs" + }, + "question": "Is Vinaròs approximately on the direct path from Corinto to Ilhabela?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6075.3, + "via_waypoint_km": 17486.7, + "detour_km": 11411.5, + "detour_percent": 187.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Corinto", + " End: Ilhabela", + " Waypoint: Vinaròs", + "Step 2: Calculate direct distance", + " Start → End: 6075.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17486.7 km", + "Step 4: Calculate detour", + " Detour = 17486.7 - 6075.3 = 11411.5 km", + " Detour % = (11411.5 / 6075.3) × 100 = 187.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 187.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 44.05, + "lon": 43.05036, + "name": "Pyatigorsk" + }, + "end": { + "lat": 51.09644, + "lon": 3.83194, + "name": "Lochristi" + }, + "waypoint": { + "lat": 17.11209, + "lon": 80.6088, + "name": "Nadim Tiruvuru" + }, + "question": "Is Nadim Tiruvuru approximately on the direct path from Pyatigorsk to Lochristi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3005.6, + "via_waypoint_km": 12231.4, + "detour_km": 9225.8, + "detour_percent": 307.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Pyatigorsk", + " End: Lochristi", + " Waypoint: Nadim Tiruvuru", + "Step 2: Calculate direct distance", + " Start → End: 3005.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12231.4 km", + "Step 4: Calculate detour", + " Detour = 12231.4 - 3005.6 = 9225.8 km", + " Detour % = (9225.8 / 3005.6) × 100 = 307.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 307.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 41.44778, + "lon": 129.65556, + "name": "Ŏrang" + }, + "end": { + "lat": 9.77147, + "lon": 76.34385, + "name": "Thaikkattussery" + }, + "waypoint": { + "lat": -23.40598, + "lon": -46.31611, + "name": "Bairro Parque Nossa Senhora do Carmo" + }, + "question": "Is Bairro Parque Nossa Senhora do Carmo approximately on the direct path from Ŏrang to Thaikkattussery?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6269.2, + "via_waypoint_km": 31733.9, + "detour_km": 25464.8, + "detour_percent": 406.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ŏrang", + " End: Thaikkattussery", + " Waypoint: Bairro Parque Nossa Senhora do Carmo", + "Step 2: Calculate direct distance", + " Start → End: 6269.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 31733.9 km", + "Step 4: Calculate detour", + " Detour = 31733.9 - 6269.2 = 25464.8 km", + " Detour % = (25464.8 / 6269.2) × 100 = 406.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 406.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 4.3782, + "lon": -7.71081, + "name": "Harper" + }, + "end": { + "lat": 10.66039, + "lon": 76.24656, + "name": "Vadakāncheri" + }, + "waypoint": { + "lat": 50.74114, + "lon": 8.28699, + "name": "Dillenburg" + }, + "question": "Is Dillenburg approximately on the direct path from Harper to Vadakāncheri?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9258.7, + "via_waypoint_km": 12914.6, + "detour_km": 3655.9, + "detour_percent": 39.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Harper", + " End: Vadakāncheri", + " Waypoint: Dillenburg", + "Step 2: Calculate direct distance", + " Start → End: 9258.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12914.6 km", + "Step 4: Calculate detour", + " Detour = 12914.6 - 9258.7 = 3655.9 km", + " Detour % = (3655.9 / 9258.7) × 100 = 39.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 39.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 39.11417, + "lon": -94.62746, + "name": "Kansas City" + }, + "end": { + "lat": 40.74927, + "lon": -73.64068, + "name": "Mineola" + }, + "waypoint": { + "lat": 13.0725, + "lon": -3.0694, + "name": "Tougan" + }, + "question": "Is Tougan approximately on the direct path from Kansas City to Mineola?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1794.3, + "via_waypoint_km": 16661.0, + "detour_km": 14866.7, + "detour_percent": 828.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kansas City", + " End: Mineola", + " Waypoint: Tougan", + "Step 2: Calculate direct distance", + " Start → End: 1794.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16661.0 km", + "Step 4: Calculate detour", + " Detour = 16661.0 - 1794.3 = 14866.7 km", + " Detour % = (14866.7 / 1794.3) × 100 = 828.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 828.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 52.57583, + "lon": 6.61944, + "name": "Hardenberg" + }, + "end": { + "lat": 55.39934, + "lon": 37.80829, + "name": "Vostryakovo" + }, + "waypoint": { + "lat": 25.75356, + "lon": 82.68689, + "name": "Jaunpur" + }, + "question": "Is Jaunpur approximately on the direct path from Hardenberg to Vostryakovo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2045.3, + "via_waypoint_km": 11726.6, + "detour_km": 9681.3, + "detour_percent": 473.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Hardenberg", + " End: Vostryakovo", + " Waypoint: Jaunpur", + "Step 2: Calculate direct distance", + " Start → End: 2045.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11726.6 km", + "Step 4: Calculate detour", + " Detour = 11726.6 - 2045.3 = 9681.3 km", + " Detour % = (9681.3 / 2045.3) × 100 = 473.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 473.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -23.39694, + "lon": -47.00222, + "name": "Pirapora do Bom Jesus" + }, + "end": { + "lat": -9.37273, + "lon": 30.12501, + "name": "Mporokoso" + }, + "waypoint": { + "lat": 50.56841, + "lon": 30.2651, + "name": "Hostomel" + }, + "question": "Is Hostomel approximately on the direct path from Pirapora do Bom Jesus to Mporokoso?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8289.5, + "via_waypoint_km": 17814.3, + "detour_km": 9524.8, + "detour_percent": 114.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Pirapora do Bom Jesus", + " End: Mporokoso", + " Waypoint: Hostomel", + "Step 2: Calculate direct distance", + " Start �� End: 8289.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17814.3 km", + "Step 4: Calculate detour", + " Detour = 17814.3 - 8289.5 = 9524.8 km", + " Detour % = (9524.8 / 8289.5) × 100 = 114.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 114.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 25.59889, + "lon": 86.26074, + "name": "Bakhri" + }, + "end": { + "lat": 8.72851, + "lon": 5.75561, + "name": "Patigi" + }, + "waypoint": { + "lat": 37.98704, + "lon": -1.13004, + "name": "Murcia" + }, + "question": "Is Murcia approximately on the direct path from Bakhri to Patigi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8642.6, + "via_waypoint_km": 11403.7, + "detour_km": 2761.1, + "detour_percent": 31.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bakhri", + " End: Patigi", + " Waypoint: Murcia", + "Step 2: Calculate direct distance", + " Start → End: 8642.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11403.7 km", + "Step 4: Calculate detour", + " Detour = 11403.7 - 8642.6 = 2761.1 km", + " Detour % = (2761.1 / 8642.6) × 100 = 31.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 31.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 43.3552, + "lon": 77.45245, + "name": "Esik" + }, + "end": { + "lat": -28.11694, + "lon": 153.46584, + "name": "Palm Beach" + }, + "waypoint": { + "lat": 45.55066, + "lon": 18.6942, + "name": "Osijek" + }, + "question": "Is Osijek approximately on the direct path from Esik to Palm Beach?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11086.4, + "via_waypoint_km": 20185.0, + "detour_km": 9098.6, + "detour_percent": 82.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Esik", + " End: Palm Beach", + " Waypoint: Osijek", + "Step 2: Calculate direct distance", + " Start → End: 11086.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20185.0 km", + "Step 4: Calculate detour", + " Detour = 20185.0 - 11086.4 = 9098.6 km", + " Detour % = (9098.6 / 11086.4) × 100 = 82.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 82.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 45.75423, + "lon": 4.83089, + "name": "Lyon 02" + }, + "end": { + "lat": 28.69919, + "lon": 30.7673, + "name": "Al ‘Idwah" + }, + "waypoint": { + "lat": 12.96796, + "lon": 80.15025, + "name": "Pallāvaram" + }, + "question": "Is Pallāvaram approximately on the direct path from Lyon 02 to Al ‘Idwah?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2954.6, + "via_waypoint_km": 13223.5, + "detour_km": 10268.9, + "detour_percent": 347.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Lyon 02", + " End: Al ‘Idwah", + " Waypoint: Pallāvaram", + "Step 2: Calculate direct distance", + " Start → End: 2954.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13223.5 km", + "Step 4: Calculate detour", + " Detour = 13223.5 - 2954.6 = 10268.9 km", + " Detour % = (10268.9 / 2954.6) × 100 = 347.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 347.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.9833, + "lon": 29.1167, + "name": "Ataşehir" + }, + "end": { + "lat": 63.56904, + "lon": 53.69141, + "name": "Ukhta" + }, + "waypoint": { + "lat": 57.66863, + "lon": 63.07072, + "name": "Irbit" + }, + "question": "Is Irbit approximately on the direct path from Ataşehir to Ukhta?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2976.0, + "via_waypoint_km": 3859.9, + "detour_km": 883.8, + "detour_percent": 29.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ataşehir", + " End: Ukhta", + " Waypoint: Irbit", + "Step 2: Calculate direct distance", + " Start → End: 2976.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 3859.9 km", + "Step 4: Calculate detour", + " Detour = 3859.9 - 2976.0 = 883.8 km", + " Detour % = (883.8 / 2976.0) × 100 = 29.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 29.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 11.69917, + "lon": 0.50611, + "name": "Natiaboani" + }, + "end": { + "lat": 36.47004, + "lon": 2.8277, + "name": "Blida" + }, + "waypoint": { + "lat": 51.89747, + "lon": 21.61466, + "name": "Garwolin" + }, + "question": "Is Garwolin approximately on the direct path from Natiaboani to Blida?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2764.2, + "via_waypoint_km": 7120.3, + "detour_km": 4356.1, + "detour_percent": 157.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Natiaboani", + " End: Blida", + " Waypoint: Garwolin", + "Step 2: Calculate direct distance", + " Start → End: 2764.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 7120.3 km", + "Step 4: Calculate detour", + " Detour = 7120.3 - 2764.2 = 4356.1 km", + " Detour % = (4356.1 / 2764.2) × 100 = 157.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 157.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 11.53495, + "lon": 106.88324, + "name": "Đồng Xoài" + }, + "end": { + "lat": 36.67444, + "lon": 119.87528, + "name": "Liaolan" + }, + "waypoint": { + "lat": -1.61112, + "lon": 29.49687, + "name": "Mukamira" + }, + "question": "Is Mukamira approximately on the direct path from Đồng Xoài to Liaolan?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3083.3, + "via_waypoint_km": 18819.2, + "detour_km": 15735.9, + "detour_percent": 510.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Đồng Xoài", + " End: Liaolan", + " Waypoint: Mukamira", + "Step 2: Calculate direct distance", + " Start → End: 3083.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18819.2 km", + "Step 4: Calculate detour", + " Detour = 18819.2 - 3083.3 = 15735.9 km", + " Detour % = (15735.9 / 3083.3) × 100 = 510.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 510.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 2.8663, + "lon": 98.5211, + "name": "Paropo" + }, + "end": { + "lat": 37.05944, + "lon": 37.3825, + "name": "Gaziantep" + }, + "waypoint": { + "lat": 34.81667, + "lon": 135.41667, + "name": "Kawanishi" + }, + "question": "Is Kawanishi approximately on the direct path from Paropo to Gaziantep?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7282.2, + "via_waypoint_km": 13587.3, + "detour_km": 6305.1, + "detour_percent": 86.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Paropo", + " End: Gaziantep", + " Waypoint: Kawanishi", + "Step 2: Calculate direct distance", + " Start → End: 7282.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13587.3 km", + "Step 4: Calculate detour", + " Detour = 13587.3 - 7282.2 = 6305.1 km", + " Detour % = (6305.1 / 7282.2) × 100 = 86.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 86.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.52517, + "lon": 14.00164, + "name": "Senftenberg" + }, + "end": { + "lat": 40.79871, + "lon": -74.23904, + "name": "West Orange" + }, + "waypoint": { + "lat": 23.963, + "lon": 86.80285, + "name": "Jāmtāra" + }, + "question": "Is Jāmtāra approximately on the direct path from Senftenberg to West Orange?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6478.7, + "via_waypoint_km": 19325.7, + "detour_km": 12847.0, + "detour_percent": 198.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Senftenberg", + " End: West Orange", + " Waypoint: Jāmtāra", + "Step 2: Calculate direct distance", + " Start → End: 6478.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19325.7 km", + "Step 4: Calculate detour", + " Detour = 19325.7 - 6478.7 = 12847.0 km", + " Detour % = (12847.0 / 6478.7) × 100 = 198.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 198.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 2.39341, + "lon": -75.89232, + "name": "La Plata" + }, + "end": { + "lat": 30.75202, + "lon": 73.02834, + "name": "Chak Azam Sahu" + }, + "waypoint": { + "lat": 47.40705, + "lon": 19.28648, + "name": "Vecsés" + }, + "question": "Is Vecsés approximately on the direct path from La Plata to Chak Azam Sahu?", + "ground_truth": { + "answer": true, + "direct_distance_km": 15074.0, + "via_waypoint_km": 15083.3, + "detour_km": 9.3, + "detour_percent": 0.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: La Plata", + " End: Chak Azam Sahu", + " Waypoint: Vecsés", + "Step 2: Calculate direct distance", + " Start → End: 15074.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15083.3 km", + "Step 4: Calculate detour", + " Detour = 15083.3 - 15074.0 = 9.3 km", + " Detour % = (9.3 / 15074.0) × 100 = 0.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.1% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 41.40104, + "lon": 2.1394, + "name": "Sarrià-Sant Gervasi" + }, + "end": { + "lat": -9.16972, + "lon": -36.67972, + "name": "Bom Conselho" + }, + "waypoint": { + "lat": -31.71882, + "lon": -55.97925, + "name": "Tacuarembó" + }, + "question": "Is Tacuarembó approximately on the direct path from Sarrià-Sant Gervasi to Bom Conselho?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6879.0, + "via_waypoint_km": 13277.4, + "detour_km": 6398.4, + "detour_percent": 93.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sarrià-Sant Gervasi", + " End: Bom Conselho", + " Waypoint: Tacuarembó", + "Step 2: Calculate direct distance", + " Start → End: 6879.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13277.4 km", + "Step 4: Calculate detour", + " Detour = 13277.4 - 6879.0 = 6398.4 km", + " Detour % = (6398.4 / 6879.0) × 100 = 93.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 93.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -33.9125, + "lon": 151.10279, + "name": "Campsie" + }, + "end": { + "lat": 6.45, + "lon": 3.33333, + "name": "Aliayabiagba" + }, + "waypoint": { + "lat": 10.33137, + "lon": -3.18202, + "name": "Gaoua" + }, + "question": "Is Gaoua approximately on the direct path from Campsie to Aliayabiagba?", + "ground_truth": { + "answer": false, + "direct_distance_km": 15510.1, + "via_waypoint_km": 17146.8, + "detour_km": 1636.7, + "detour_percent": 10.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Campsie", + " End: Aliayabiagba", + " Waypoint: Gaoua", + "Step 2: Calculate direct distance", + " Start → End: 15510.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17146.8 km", + "Step 4: Calculate detour", + " Detour = 17146.8 - 15510.1 = 1636.7 km", + " Detour % = (1636.7 / 15510.1) × 100 = 10.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 10.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 14.7783, + "lon": 121.04487, + "name": "Bagong Silang" + }, + "end": { + "lat": -18.60472, + "lon": -43.37944, + "name": "Serro" + }, + "waypoint": { + "lat": 32.7236, + "lon": -5.1025, + "name": "Boumia" + }, + "question": "Is Boumia approximately on the direct path from Bagong Silang to Serro?", + "ground_truth": { + "answer": true, + "direct_distance_km": 18303.2, + "via_waypoint_km": 19240.0, + "detour_km": 936.8, + "detour_percent": 5.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bagong Silang", + " End: Serro", + " Waypoint: Boumia", + "Step 2: Calculate direct distance", + " Start → End: 18303.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19240.0 km", + "Step 4: Calculate detour", + " Detour = 19240.0 - 18303.2 = 936.8 km", + " Detour % = (936.8 / 18303.2) × 100 = 5.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 5.1% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 57.87096, + "lon": 11.98054, + "name": "Kungälv" + }, + "end": { + "lat": 51.65333, + "lon": 5.2875, + "name": "Vught" + }, + "waypoint": { + "lat": -26.23, + "lon": -51.08639, + "name": "União da Vitória" + }, + "question": "Is União da Vitória approximately on the direct path from Kungälv to Vught?", + "ground_truth": { + "answer": false, + "direct_distance_km": 813.0, + "via_waypoint_km": 21272.2, + "detour_km": 20459.2, + "detour_percent": 2516.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kungälv", + " End: Vught", + " Waypoint: União da Vitória", + "Step 2: Calculate direct distance", + " Start → End: 813.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21272.2 km", + "Step 4: Calculate detour", + " Detour = 21272.2 - 813.0 = 20459.2 km", + " Detour % = (20459.2 / 813.0) × 100 = 2516.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2516.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 50.97417, + "lon": 5.82917, + "name": "Geleen" + }, + "end": { + "lat": -10.21167, + "lon": -63.82861, + "name": "Buritis" + }, + "waypoint": { + "lat": 25.96667, + "lon": 94.51667, + "name": "Zunheboto" + }, + "question": "Is Zunheboto approximately on the direct path from Geleen to Buritis?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9512.0, + "via_waypoint_km": 24849.6, + "detour_km": 15337.6, + "detour_percent": 161.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Geleen", + " End: Buritis", + " Waypoint: Zunheboto", + "Step 2: Calculate direct distance", + " Start → End: 9512.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24849.6 km", + "Step 4: Calculate detour", + " Detour = 24849.6 - 9512.0 = 15337.6 km", + " Detour % = (15337.6 / 9512.0) × 100 = 161.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 161.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 42.55352, + "lon": -8.99094, + "name": "Santa Uxía de Ribeira" + }, + "end": { + "lat": 43.80467, + "lon": 131.95734, + "name": "Ussuriysk" + }, + "waypoint": { + "lat": -23.425, + "lon": -49.72083, + "name": "Carlópolis" + }, + "question": "Is Carlópolis approximately on the direct path from Santa Uxía de Ribeira to Ussuriysk?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9655.3, + "via_waypoint_km": 26185.1, + "detour_km": 16529.8, + "detour_percent": 171.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Santa Uxía de Ribeira", + " End: Ussuriysk", + " Waypoint: Carlópolis", + "Step 2: Calculate direct distance", + " Start → End: 9655.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26185.1 km", + "Step 4: Calculate detour", + " Detour = 26185.1 - 9655.3 = 16529.8 km", + " Detour % = (16529.8 / 9655.3) × 100 = 171.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 171.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.87363, + "lon": 14.34085, + "name": "Volla" + }, + "end": { + "lat": 47.09514, + "lon": 37.54131, + "name": "Mariupol" + }, + "waypoint": { + "lat": -6.42139, + "lon": 106.73306, + "name": "Parung" + }, + "question": "Is Parung approximately on the direct path from Volla to Mariupol?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1971.9, + "via_waypoint_km": 19668.9, + "detour_km": 17697.0, + "detour_percent": 897.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Volla", + " End: Mariupol", + " Waypoint: Parung", + "Step 2: Calculate direct distance", + " Start → End: 1971.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19668.9 km", + "Step 4: Calculate detour", + " Detour = 19668.9 - 1971.9 = 17697.0 km", + " Detour % = (17697.0 / 1971.9) × 100 = 897.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 897.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -33.73333, + "lon": 150.93284, + "name": "Glenwood" + }, + "end": { + "lat": 52.4791, + "lon": -1.46909, + "name": "Bedworth" + }, + "waypoint": { + "lat": -12.55708, + "lon": 16.33805, + "name": "Chinguar" + }, + "question": "Is Chinguar approximately on the direct path from Glenwood to Bedworth?", + "ground_truth": { + "answer": false, + "direct_distance_km": 16989.3, + "via_waypoint_km": 20405.9, + "detour_km": 3416.6, + "detour_percent": 20.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Glenwood", + " End: Bedworth", + " Waypoint: Chinguar", + "Step 2: Calculate direct distance", + " Start → End: 16989.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20405.9 km", + "Step 4: Calculate detour", + " Detour = 20405.9 - 16989.3 = 3416.6 km", + " Detour % = (3416.6 / 16989.3) × 100 = 20.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 20.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 50.15441, + "lon": -5.07113, + "name": "Falmouth" + }, + "end": { + "lat": 10.08818, + "lon": 77.06239, + "name": "Munnar" + }, + "waypoint": { + "lat": 38.51389, + "lon": 125.18972, + "name": "Ŭllyul" + }, + "question": "Is Ŭllyul approximately on the direct path from Falmouth to Munnar?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8589.0, + "via_waypoint_km": 14742.2, + "detour_km": 6153.2, + "detour_percent": 71.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Falmouth", + " End: Munnar", + " Waypoint: Ŭllyul", + "Step 2: Calculate direct distance", + " Start → End: 8589.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14742.2 km", + "Step 4: Calculate detour", + " Detour = 14742.2 - 8589.0 = 6153.2 km", + " Detour % = (6153.2 / 8589.0) × 100 = 71.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 71.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 27.18096, + "lon": 31.18368, + "name": "Assiut" + }, + "end": { + "lat": -15.86527, + "lon": -47.81477, + "name": "Jardim Botânico" + }, + "waypoint": { + "lat": 52.6386, + "lon": -1.13169, + "name": "Leicester" + }, + "question": "Is Leicester approximately on the direct path from Assiut to Jardim Botânico?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9762.7, + "via_waypoint_km": 12724.2, + "detour_km": 2961.5, + "detour_percent": 30.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Assiut", + " End: Jardim Botânico", + " Waypoint: Leicester", + "Step 2: Calculate direct distance", + " Start → End: 9762.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12724.2 km", + "Step 4: Calculate detour", + " Detour = 12724.2 - 9762.7 = 2961.5 km", + " Detour % = (2961.5 / 9762.7) × 100 = 30.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 30.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 31.34689, + "lon": 130.45612, + "name": "Minamikyushu" + }, + "end": { + "lat": -7.7625, + "lon": 110.43167, + "name": "Depok" + }, + "waypoint": { + "lat": -3.54281, + "lon": -45.60852, + "name": "Bom Jardim" + }, + "question": "Is Bom Jardim approximately on the direct path from Minamikyushu to Depok?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4842.4, + "via_waypoint_km": 33970.9, + "detour_km": 29128.4, + "detour_percent": 601.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Minamikyushu", + " End: Depok", + " Waypoint: Bom Jardim", + "Step 2: Calculate direct distance", + " Start → End: 4842.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 33970.9 km", + "Step 4: Calculate detour", + " Detour = 33970.9 - 4842.4 = 29128.4 km", + " Detour % = (29128.4 / 4842.4) × 100 = 601.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 601.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 32.91851, + "lon": -80.02203, + "name": "Hanahan" + }, + "end": { + "lat": 64.41638, + "lon": 40.81674, + "name": "Novodvinsk" + }, + "waypoint": { + "lat": 36.43181, + "lon": 139.27534, + "name": "Ōmamachō-ōmama" + }, + "question": "Is Ōmamachō-ōmama approximately on the direct path from Hanahan to Novodvinsk?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8037.3, + "via_waypoint_km": 18074.8, + "detour_km": 10037.5, + "detour_percent": 124.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Hanahan", + " End: Novodvinsk", + " Waypoint: Ōmamachō-ōmama", + "Step 2: Calculate direct distance", + " Start → End: 8037.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18074.8 km", + "Step 4: Calculate detour", + " Detour = 18074.8 - 8037.3 = 10037.5 km", + " Detour % = (10037.5 / 8037.3) × 100 = 124.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 124.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -4.77549, + "lon": 17.89095, + "name": "Masi-Manimba" + }, + "end": { + "lat": 6.76051, + "lon": -1.59402, + "name": "Ahwiaa" + }, + "waypoint": { + "lat": 14.63194, + "lon": -90.92659, + "name": "Patzicía" + }, + "question": "Is Patzicía approximately on the direct path from Masi-Manimba to Ahwiaa?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2514.4, + "via_waypoint_km": 21910.6, + "detour_km": 19396.2, + "detour_percent": 771.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Masi-Manimba", + " End: Ahwiaa", + " Waypoint: Patzicía", + "Step 2: Calculate direct distance", + " Start → End: 2514.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21910.6 km", + "Step 4: Calculate detour", + " Detour = 21910.6 - 2514.4 = 19396.2 km", + " Detour % = (19396.2 / 2514.4) × 100 = 771.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 771.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -32.92953, + "lon": 151.7801, + "name": "Newcastle" + }, + "end": { + "lat": -1.36553, + "lon": -79.90507, + "name": "Balzar" + }, + "waypoint": { + "lat": -1.74833, + "lon": -52.23833, + "name": "Porto de Moz" + }, + "question": "Is Porto de Moz approximately on the direct path from Newcastle to Balzar?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13397.0, + "via_waypoint_km": 18483.4, + "detour_km": 5086.4, + "detour_percent": 38.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Newcastle", + " End: Balzar", + " Waypoint: Porto de Moz", + "Step 2: Calculate direct distance", + " Start → End: 13397.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18483.4 km", + "Step 4: Calculate detour", + " Detour = 18483.4 - 13397.0 = 5086.4 km", + " Detour % = (5086.4 / 13397.0) × 100 = 38.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 38.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 48.56688, + "lon": -78.11624, + "name": "Amos" + }, + "end": { + "lat": -36.72494, + "lon": -73.11684, + "name": "Talcahuano" + }, + "waypoint": { + "lat": 5.3991, + "lon": 100.36382, + "name": "Butterworth" + }, + "question": "Is Butterworth approximately on the direct path from Amos to Talcahuano?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9496.9, + "via_waypoint_km": 30481.6, + "detour_km": 20984.7, + "detour_percent": 221.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Amos", + " End: Talcahuano", + " Waypoint: Butterworth", + "Step 2: Calculate direct distance", + " Start → End: 9496.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 30481.6 km", + "Step 4: Calculate detour", + " Detour = 30481.6 - 9496.9 = 20984.7 km", + " Detour % = (20984.7 / 9496.9) × 100 = 221.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 221.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -17.89, + "lon": 31.1475, + "name": "Epworth" + }, + "end": { + "lat": -31.09048, + "lon": 150.92905, + "name": "Tamworth" + }, + "waypoint": { + "lat": 19.08995, + "lon": -98.27319, + "name": "Cuautlancingo" + }, + "question": "Is Cuautlancingo approximately on the direct path from Epworth to Tamworth?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11592.0, + "via_waypoint_km": 27724.3, + "detour_km": 16132.2, + "detour_percent": 139.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Epworth", + " End: Tamworth", + " Waypoint: Cuautlancingo", + "Step 2: Calculate direct distance", + " Start → End: 11592.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27724.3 km", + "Step 4: Calculate detour", + " Detour = 27724.3 - 11592.0 = 16132.2 km", + " Detour % = (16132.2 / 11592.0) × 100 = 139.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 139.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -7.01833, + "lon": 107.60389, + "name": "Pameungpeuk" + }, + "end": { + "lat": 3.08385, + "lon": 101.70895, + "name": "Desa Petaling" + }, + "waypoint": { + "lat": -8.1654, + "lon": -70.35486, + "name": "Feijó" + }, + "question": "Is Feijó approximately on the direct path from Pameungpeuk to Desa Petaling?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1299.9, + "via_waypoint_km": 37282.7, + "detour_km": 35982.7, + "detour_percent": 2768.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Pameungpeuk", + " End: Desa Petaling", + " Waypoint: Feijó", + "Step 2: Calculate direct distance", + " Start → End: 1299.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 37282.7 km", + "Step 4: Calculate detour", + " Detour = 37282.7 - 1299.9 = 35982.7 km", + " Detour % = (35982.7 / 1299.9) × 100 = 2768.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2768.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 48.81003, + "lon": 2.35403, + "name": "Croulebarbe" + }, + "end": { + "lat": 44.88515, + "lon": 11.06902, + "name": "Mirandola" + }, + "waypoint": { + "lat": 13.48833, + "lon": -89.32222, + "name": "La Libertad" + }, + "question": "Is La Libertad approximately on the direct path from Croulebarbe to Mirandola?", + "ground_truth": { + "answer": false, + "direct_distance_km": 792.8, + "via_waypoint_km": 18755.0, + "detour_km": 17962.2, + "detour_percent": 2265.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Croulebarbe", + " End: Mirandola", + " Waypoint: La Libertad", + "Step 2: Calculate direct distance", + " Start → End: 792.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18755.0 km", + "Step 4: Calculate detour", + " Detour = 18755.0 - 792.8 = 17962.2 km", + " Detour % = (17962.2 / 792.8) × 100 = 2265.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2265.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 30.67399, + "lon": 74.75579, + "name": "Farīdkot" + }, + "end": { + "lat": 37.34461, + "lon": -6.06391, + "name": "Mairena del Aljarafe" + }, + "waypoint": { + "lat": 49.08938, + "lon": -123.08241, + "name": "Ladner" + }, + "question": "Is Ladner approximately on the direct path from Farīdkot to Mairena del Aljarafe?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7256.2, + "via_waypoint_km": 19552.7, + "detour_km": 12296.5, + "detour_percent": 169.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Farīdkot", + " End: Mairena del Aljarafe", + " Waypoint: Ladner", + "Step 2: Calculate direct distance", + " Start → End: 7256.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19552.7 km", + "Step 4: Calculate detour", + " Detour = 19552.7 - 7256.2 = 12296.5 km", + " Detour % = (12296.5 / 7256.2) × 100 = 169.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 169.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 9.00525, + "lon": -62.64493, + "name": "Temblador" + }, + "end": { + "lat": -4.44696, + "lon": -49.11556, + "name": "Jacundá" + }, + "waypoint": { + "lat": 23.87972, + "lon": 100.09455, + "name": "Lincang" + }, + "question": "Is Lincang approximately on the direct path from Temblador to Jacundá?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2118.2, + "via_waypoint_km": 31978.0, + "detour_km": 29859.8, + "detour_percent": 1409.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Temblador", + " End: Jacundá", + " Waypoint: Lincang", + "Step 2: Calculate direct distance", + " Start → End: 2118.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 31978.0 km", + "Step 4: Calculate detour", + " Detour = 31978.0 - 2118.2 = 29859.8 km", + " Detour % = (29859.8 / 2118.2) × 100 = 1409.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1409.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 41.95336, + "lon": -87.73645, + "name": "Irving Park" + }, + "end": { + "lat": -24.66861, + "lon": 25.97111, + "name": "Tlokweng" + }, + "waypoint": { + "lat": -22.12556, + "lon": -51.38889, + "name": "Presidente Prudente" + }, + "question": "Is Presidente Prudente approximately on the direct path from Irving Park to Tlokweng?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13723.5, + "via_waypoint_km": 15833.5, + "detour_km": 2110.0, + "detour_percent": 15.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Irving Park", + " End: Tlokweng", + " Waypoint: Presidente Prudente", + "Step 2: Calculate direct distance", + " Start → End: 13723.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15833.5 km", + "Step 4: Calculate detour", + " Detour = 15833.5 - 13723.5 = 2110.0 km", + " Detour % = (2110.0 / 13723.5) × 100 = 15.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 15.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -12.06982, + "lon": -77.04495, + "name": "Jesus Maria" + }, + "end": { + "lat": 53.55487, + "lon": 10.05742, + "name": "Hamm" + }, + "waypoint": { + "lat": 43.13339, + "lon": -80.7497, + "name": "Woodstock" + }, + "question": "Is Woodstock approximately on the direct path from Jesus Maria to Hamm?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10895.0, + "via_waypoint_km": 12493.8, + "detour_km": 1598.8, + "detour_percent": 14.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Jesus Maria", + " End: Hamm", + " Waypoint: Woodstock", + "Step 2: Calculate direct distance", + " Start → End: 10895.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12493.8 km", + "Step 4: Calculate detour", + " Detour = 12493.8 - 10895.0 = 1598.8 km", + " Detour % = (1598.8 / 10895.0) × 100 = 14.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 14.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 10.22827, + "lon": 2.66335, + "name": "Bembèrèkè" + }, + "end": { + "lat": 5.7, + "lon": -55.23333, + "name": "Lelydorp" + }, + "waypoint": { + "lat": 45.62675, + "lon": 9.32454, + "name": "Arcore" + }, + "question": "Is Arcore approximately on the direct path from Bembèrèkè to Lelydorp?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6388.0, + "via_waypoint_km": 11580.2, + "detour_km": 5192.2, + "detour_percent": 81.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bembèrèkè", + " End: Lelydorp", + " Waypoint: Arcore", + "Step 2: Calculate direct distance", + " Start → End: 6388.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11580.2 km", + "Step 4: Calculate detour", + " Detour = 11580.2 - 6388.0 = 5192.2 km", + " Detour % = (5192.2 / 6388.0) × 100 = 81.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 81.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 53.25, + "lon": 8.2, + "name": "Rastede" + }, + "end": { + "lat": 45.46723, + "lon": 7.87617, + "name": "Ivrea" + }, + "waypoint": { + "lat": -37.99116, + "lon": 145.17385, + "name": "Keysborough" + }, + "question": "Is Keysborough approximately on the direct path from Rastede to Ivrea?", + "ground_truth": { + "answer": false, + "direct_distance_km": 865.7, + "via_waypoint_km": 32756.9, + "detour_km": 31891.2, + "detour_percent": 3683.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Rastede", + " End: Ivrea", + " Waypoint: Keysborough", + "Step 2: Calculate direct distance", + " Start → End: 865.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 32756.9 km", + "Step 4: Calculate detour", + " Detour = 32756.9 - 865.7 = 31891.2 km", + " Detour % = (31891.2 / 865.7) × 100 = 3683.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 3683.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 48.53214, + "lon": 35.86878, + "name": "Pavlohrad" + }, + "end": { + "lat": 40.00119, + "lon": 119.75395, + "name": "Shanhaiguan" + }, + "waypoint": { + "lat": -20.06373, + "lon": 30.82766, + "name": "Masvingo" + }, + "question": "Is Masvingo approximately on the direct path from Pavlohrad to Shanhaiguan?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6405.7, + "via_waypoint_km": 18980.2, + "detour_km": 12574.4, + "detour_percent": 196.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Pavlohrad", + " End: Shanhaiguan", + " Waypoint: Masvingo", + "Step 2: Calculate direct distance", + " Start → End: 6405.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18980.2 km", + "Step 4: Calculate detour", + " Detour = 18980.2 - 6405.7 = 12574.4 km", + " Detour % = (12574.4 / 6405.7) × 100 = 196.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 196.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 15.4509, + "lon": 6.2793, + "name": "Abalak" + }, + "end": { + "lat": 24.56412, + "lon": 79.30712, + "name": "Bada Malhera" + }, + "waypoint": { + "lat": 44.63651, + "lon": -123.10593, + "name": "Albany" + }, + "question": "Is Albany approximately on the direct path from Abalak to Bada Malhera?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7615.9, + "via_waypoint_km": 23594.6, + "detour_km": 15978.7, + "detour_percent": 209.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Abalak", + " End: Bada Malhera", + " Waypoint: Albany", + "Step 2: Calculate direct distance", + " Start → End: 7615.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23594.6 km", + "Step 4: Calculate detour", + " Detour = 23594.6 - 7615.9 = 15978.7 km", + " Detour % = (15978.7 / 7615.9) × 100 = 209.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 209.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 25.05303, + "lon": 87.83048, + "name": "Rājmahal" + }, + "end": { + "lat": 51.1074, + "lon": 7.64838, + "name": "Meinerzhagen" + }, + "waypoint": { + "lat": 3.85375, + "lon": 45.56744, + "name": "Buulobarde" + }, + "question": "Is Buulobarde approximately on the direct path from Rājmahal to Meinerzhagen?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7199.8, + "via_waypoint_km": 11414.8, + "detour_km": 4215.0, + "detour_percent": 58.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Rājmahal", + " End: Meinerzhagen", + " Waypoint: Buulobarde", + "Step 2: Calculate direct distance", + " Start → End: 7199.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11414.8 km", + "Step 4: Calculate detour", + " Detour = 11414.8 - 7199.8 = 4215.0 km", + " Detour % = (4215.0 / 7199.8) × 100 = 58.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 58.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -2.158, + "lon": 16.23249, + "name": "Bolobo" + }, + "end": { + "lat": 35.61739, + "lon": 10.99466, + "name": "Bekalta" + }, + "waypoint": { + "lat": 42.27232, + "lon": -71.087, + "name": "Mattapan" + }, + "question": "Is Mattapan approximately on the direct path from Bolobo to Bekalta?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4235.6, + "via_waypoint_km": 16805.6, + "detour_km": 12570.0, + "detour_percent": 296.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bolobo", + " End: Bekalta", + " Waypoint: Mattapan", + "Step 2: Calculate direct distance", + " Start → End: 4235.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16805.6 km", + "Step 4: Calculate detour", + " Detour = 16805.6 - 4235.6 = 12570.0 km", + " Detour % = (12570.0 / 4235.6) × 100 = 296.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 296.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 18.53017, + "lon": 73.85263, + "name": "Shivaji Nagar" + }, + "end": { + "lat": 40.15085, + "lon": -8.86179, + "name": "Figueira da Foz" + }, + "waypoint": { + "lat": 34.21334, + "lon": -118.57203, + "name": "Winnetka" + }, + "question": "Is Winnetka approximately on the direct path from Shivaji Nagar to Figueira da Foz?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8087.5, + "via_waypoint_km": 23056.8, + "detour_km": 14969.3, + "detour_percent": 185.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Shivaji Nagar", + " End: Figueira da Foz", + " Waypoint: Winnetka", + "Step 2: Calculate direct distance", + " Start → End: 8087.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23056.8 km", + "Step 4: Calculate detour", + " Detour = 23056.8 - 8087.5 = 14969.3 km", + " Detour % = (14969.3 / 8087.5) × 100 = 185.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 185.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 26.90403, + "lon": 83.98087, + "name": "Padrauna" + }, + "end": { + "lat": -36.84853, + "lon": 174.76349, + "name": "Auckland" + }, + "waypoint": { + "lat": 7.1127, + "lon": 5.1159, + "name": "Idanre" + }, + "question": "Is Idanre approximately on the direct path from Padrauna to Auckland?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11823.0, + "via_waypoint_km": 25095.3, + "detour_km": 13272.3, + "detour_percent": 112.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Padrauna", + " End: Auckland", + " Waypoint: Idanre", + "Step 2: Calculate direct distance", + " Start → End: 11823.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25095.3 km", + "Step 4: Calculate detour", + " Detour = 25095.3 - 11823.0 = 13272.3 km", + " Detour % = (13272.3 / 11823.0) × 100 = 112.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 112.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 50.39216, + "lon": 4.44388, + "name": "Marcinelle" + }, + "end": { + "lat": -5.55085, + "lon": 150.13766, + "name": "Kimbe" + }, + "waypoint": { + "lat": 6.73668, + "lon": -6.95487, + "name": "Guéssabo" + }, + "question": "Is Guéssabo approximately on the direct path from Marcinelle to Kimbe?", + "ground_truth": { + "answer": false, + "direct_distance_km": 14096.8, + "via_waypoint_km": 22447.8, + "detour_km": 8351.0, + "detour_percent": 59.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Marcinelle", + " End: Kimbe", + " Waypoint: Guéssabo", + "Step 2: Calculate direct distance", + " Start → End: 14096.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22447.8 km", + "Step 4: Calculate detour", + " Detour = 22447.8 - 14096.8 = 8351.0 km", + " Detour % = (8351.0 / 14096.8) × 100 = 59.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 59.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 33.97918, + "lon": -118.03284, + "name": "Whittier" + }, + "end": { + "lat": -27.35364, + "lon": 152.96848, + "name": "Albany Creek" + }, + "waypoint": { + "lat": 33.80101, + "lon": 130.68422, + "name": "Inokura" + }, + "question": "Is Inokura approximately on the direct path from Whittier to Albany Creek?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11577.5, + "via_waypoint_km": 16814.5, + "detour_km": 5237.0, + "detour_percent": 45.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Whittier", + " End: Albany Creek", + " Waypoint: Inokura", + "Step 2: Calculate direct distance", + " Start → End: 11577.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16814.5 km", + "Step 4: Calculate detour", + " Detour = 16814.5 - 11577.5 = 5237.0 km", + " Detour % = (5237.0 / 11577.5) × 100 = 45.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 45.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.46171, + "lon": 8.84949, + "name": "Marsberg" + }, + "end": { + "lat": 37.68081, + "lon": 12.79194, + "name": "Castelvetrano" + }, + "waypoint": { + "lat": 10.90988, + "lon": 78.69927, + "name": "Mannachanallur" + }, + "question": "Is Mannachanallur approximately on the direct path from Marsberg to Castelvetrano?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1563.3, + "via_waypoint_km": 14824.6, + "detour_km": 13261.4, + "detour_percent": 848.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Marsberg", + " End: Castelvetrano", + " Waypoint: Mannachanallur", + "Step 2: Calculate direct distance", + " Start → End: 1563.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14824.6 km", + "Step 4: Calculate detour", + " Detour = 14824.6 - 1563.3 = 13261.4 km", + " Detour % = (13261.4 / 1563.3) × 100 = 848.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 848.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 27.64148, + "lon": 30.85012, + "name": "Dayr Mawās" + }, + "end": { + "lat": 56.0021, + "lon": -3.78535, + "name": "Falkirk" + }, + "waypoint": { + "lat": 69.41285, + "lon": 30.22198, + "name": "Nikel" + }, + "question": "Is Nikel approximately on the direct path from Dayr Mawās to Falkirk?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4181.9, + "via_waypoint_km": 6879.8, + "detour_km": 2697.8, + "detour_percent": 64.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Dayr Mawās", + " End: Falkirk", + " Waypoint: Nikel", + "Step 2: Calculate direct distance", + " Start → End: 4181.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 6879.8 km", + "Step 4: Calculate detour", + " Detour = 6879.8 - 4181.9 = 2697.8 km", + " Detour % = (2697.8 / 4181.9) × 100 = 64.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 64.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 55.94433, + "lon": -4.57061, + "name": "Dumbarton" + }, + "end": { + "lat": 24.69557, + "lon": 93.81974, + "name": "Nambol" + }, + "waypoint": { + "lat": 7.1, + "lon": 39.2, + "name": "Āsasa" + }, + "question": "Is Āsasa approximately on the direct path from Dumbarton to Nambol?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8253.2, + "via_waypoint_km": 12759.7, + "detour_km": 4506.5, + "detour_percent": 54.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Dumbarton", + " End: Nambol", + " Waypoint: Āsasa", + "Step 2: Calculate direct distance", + " Start → End: 8253.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12759.7 km", + "Step 4: Calculate detour", + " Detour = 12759.7 - 8253.2 = 4506.5 km", + " Detour % = (4506.5 / 8253.2) × 100 = 54.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 54.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 9.22556, + "lon": 42.33222, + "name": "Babīlē" + }, + "end": { + "lat": -32.39375, + "lon": -59.78955, + "name": "Nogoyá" + }, + "waypoint": { + "lat": 49.68333, + "lon": 5.81667, + "name": "Arlon" + }, + "question": "Is Arlon approximately on the direct path from Babīlē to Nogoyá?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11689.3, + "via_waypoint_km": 16799.1, + "detour_km": 5109.8, + "detour_percent": 43.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Babīlē", + " End: Nogoyá", + " Waypoint: Arlon", + "Step 2: Calculate direct distance", + " Start → End: 11689.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16799.1 km", + "Step 4: Calculate detour", + " Detour = 16799.1 - 11689.3 = 5109.8 km", + " Detour % = (5109.8 / 11689.3) × 100 = 43.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 43.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 34.06862, + "lon": -117.93895, + "name": "West Covina" + }, + "end": { + "lat": 8.56744, + "lon": -10.1336, + "name": "Gueckedou" + }, + "waypoint": { + "lat": 56.1, + "lon": 38.13333, + "name": "Krasnoarmeysk" + }, + "question": "Is Krasnoarmeysk approximately on the direct path from West Covina to Gueckedou?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11076.7, + "via_waypoint_km": 16475.1, + "detour_km": 5398.4, + "detour_percent": 48.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: West Covina", + " End: Gueckedou", + " Waypoint: Krasnoarmeysk", + "Step 2: Calculate direct distance", + " Start → End: 11076.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16475.1 km", + "Step 4: Calculate detour", + " Detour = 16475.1 - 11076.7 = 5398.4 km", + " Detour % = (5398.4 / 11076.7) × 100 = 48.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 48.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 28.30772, + "lon": 78.93678, + "name": "Bisauli" + }, + "end": { + "lat": 34.8, + "lon": 137.35889, + "name": "Kozakai-chō" + }, + "waypoint": { + "lat": 54.10774, + "lon": 54.11741, + "name": "Belebey" + }, + "question": "Is Belebey approximately on the direct path from Bisauli to Kozakai-chō?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5506.1, + "via_waypoint_km": 10033.6, + "detour_km": 4527.5, + "detour_percent": 82.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bisauli", + " End: Kozakai-chō", + " Waypoint: Belebey", + "Step 2: Calculate direct distance", + " Start → End: 5506.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10033.6 km", + "Step 4: Calculate detour", + " Detour = 10033.6 - 5506.1 = 4527.5 km", + " Detour % = (4527.5 / 5506.1) × 100 = 82.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 82.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 32.64043, + "lon": 74.56898, + "name": "Hadali" + }, + "end": { + "lat": 38.90883, + "lon": 1.43296, + "name": "Ibiza" + }, + "waypoint": { + "lat": 44.78389, + "lon": 44.16583, + "name": "Budyonnovsk" + }, + "question": "Is Budyonnovsk approximately on the direct path from Hadali to Ibiza?", + "ground_truth": { + "answer": true, + "direct_distance_km": 6457.3, + "via_waypoint_km": 6496.8, + "detour_km": 39.5, + "detour_percent": 0.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Hadali", + " End: Ibiza", + " Waypoint: Budyonnovsk", + "Step 2: Calculate direct distance", + " Start → End: 6457.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 6496.8 km", + "Step 4: Calculate detour", + " Detour = 6496.8 - 6457.3 = 39.5 km", + " Detour % = (39.5 / 6457.3) × 100 = 0.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.6% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 16.41904, + "lon": 101.16056, + "name": "Phetchabun" + }, + "end": { + "lat": -33.91667, + "lon": 151.03333, + "name": "Bankstown" + }, + "waypoint": { + "lat": 38.25424, + "lon": -85.75941, + "name": "Louisville" + }, + "question": "Is Louisville approximately on the direct path from Phetchabun to Bankstown?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7693.4, + "via_waypoint_km": 28861.7, + "detour_km": 21168.3, + "detour_percent": 275.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Phetchabun", + " End: Bankstown", + " Waypoint: Louisville", + "Step 2: Calculate direct distance", + " Start → End: 7693.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 28861.7 km", + "Step 4: Calculate detour", + " Detour = 28861.7 - 7693.4 = 21168.3 km", + " Detour % = (21168.3 / 7693.4) × 100 = 275.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 275.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 22.50247, + "lon": 82.54279, + "name": "Katghora" + }, + "end": { + "lat": 38.3964, + "lon": -0.5255, + "name": "San Vicent del Raspeig" + }, + "waypoint": { + "lat": 7.61667, + "lon": 39.5, + "name": "Gobēsa" + }, + "question": "Is Gobēsa approximately on the direct path from Katghora to San Vicent del Raspeig?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7898.0, + "via_waypoint_km": 10154.8, + "detour_km": 2256.8, + "detour_percent": 28.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Katghora", + " End: San Vicent del Raspeig", + " Waypoint: Gobēsa", + "Step 2: Calculate direct distance", + " Start → End: 7898.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10154.8 km", + "Step 4: Calculate detour", + " Detour = 10154.8 - 7898.0 = 2256.8 km", + " Detour % = (2256.8 / 7898.0) × 100 = 28.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 28.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 18.88333, + "lon": -98.865, + "name": "Yecapixtla" + }, + "end": { + "lat": 48.66497, + "lon": 2.56957, + "name": "Combs-la-Ville" + }, + "waypoint": { + "lat": 36.16286, + "lon": 6.16651, + "name": "Chelghoum el Aïd" + }, + "question": "Is Chelghoum el Aïd approximately on the direct path from Yecapixtla to Combs-la-Ville?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9246.8, + "via_waypoint_km": 11473.8, + "detour_km": 2227.0, + "detour_percent": 24.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Yecapixtla", + " End: Combs-la-Ville", + " Waypoint: Chelghoum el Aïd", + "Step 2: Calculate direct distance", + " Start → End: 9246.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11473.8 km", + "Step 4: Calculate detour", + " Detour = 11473.8 - 9246.8 = 2227.0 km", + " Detour % = (2227.0 / 9246.8) × 100 = 24.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 24.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -27.42573, + "lon": 29.16585, + "name": "Vrede" + }, + "end": { + "lat": 40.71069, + "lon": 140.59048, + "name": "Namioka" + }, + "waypoint": { + "lat": 35.73681, + "lon": 139.70711, + "name": "Ikebukuro" + }, + "question": "Is Ikebukuro approximately on the direct path from Vrede to Namioka?", + "ground_truth": { + "answer": true, + "direct_distance_km": 13688.7, + "via_waypoint_km": 14063.5, + "detour_km": 374.8, + "detour_percent": 2.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Vrede", + " End: Namioka", + " Waypoint: Ikebukuro", + "Step 2: Calculate direct distance", + " Start → End: 13688.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14063.5 km", + "Step 4: Calculate detour", + " Detour = 14063.5 - 13688.7 = 374.8 km", + " Detour % = (374.8 / 13688.7) × 100 = 2.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2.7% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -22.47, + "lon": -43.82556, + "name": "Barra do Piraí" + }, + "end": { + "lat": 4.09444, + "lon": 30.67639, + "name": "Yei" + }, + "waypoint": { + "lat": 24.10287, + "lon": 90.09841, + "name": "Mirzāpur" + }, + "question": "Is Mirzāpur approximately on the direct path from Barra do Piraí to Yei?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8600.9, + "via_waypoint_km": 22054.7, + "detour_km": 13453.8, + "detour_percent": 156.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Barra do Piraí", + " End: Yei", + " Waypoint: Mirzāpur", + "Step 2: Calculate direct distance", + " Start → End: 8600.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22054.7 km", + "Step 4: Calculate detour", + " Detour = 22054.7 - 8600.9 = 13453.8 km", + " Detour % = (13453.8 / 8600.9) × 100 = 156.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 156.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 14.27324, + "lon": 121.07643, + "name": "Pulong Santa Cruz" + }, + "end": { + "lat": 36.01667, + "lon": 139.98333, + "name": "Mitsukaidō" + }, + "waypoint": { + "lat": 10.28701, + "lon": 105.6617, + "name": "Thị Trấn Lai Vung" + }, + "question": "Is Thị Trấn Lai Vung approximately on the direct path from Pulong Santa Cruz to Mitsukaidō?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3064.1, + "via_waypoint_km": 6216.8, + "detour_km": 3152.7, + "detour_percent": 102.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Pulong Santa Cruz", + " End: Mitsukaidō", + " Waypoint: Thị Trấn Lai Vung", + "Step 2: Calculate direct distance", + " Start → End: 3064.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 6216.8 km", + "Step 4: Calculate detour", + " Detour = 6216.8 - 3064.1 = 3152.7 km", + " Detour % = (3152.7 / 3064.1) × 100 = 102.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 102.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -6.14089, + "lon": 37.63604, + "name": "Madizini" + }, + "end": { + "lat": -15.89299, + "lon": -63.18855, + "name": "Ascención de Guarayos" + }, + "waypoint": { + "lat": 30.08333, + "lon": 114.95, + "name": "Daye" + }, + "question": "Is Daye approximately on the direct path from Madizini to Ascención de Guarayos?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10968.7, + "via_waypoint_km": 27568.6, + "detour_km": 16599.9, + "detour_percent": 151.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Madizini", + " End: Ascención de Guarayos", + " Waypoint: Daye", + "Step 2: Calculate direct distance", + " Start → End: 10968.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27568.6 km", + "Step 4: Calculate detour", + " Detour = 27568.6 - 10968.7 = 16599.9 km", + " Detour % = (16599.9 / 10968.7) × 100 = 151.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 151.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 55.82299, + "lon": 37.81306, + "name": "Gol’yanovo" + }, + "end": { + "lat": -28.87097, + "lon": 31.89961, + "name": "eSikhaleni" + }, + "waypoint": { + "lat": 34.06667, + "lon": 134.15, + "name": "Wakimachi" + }, + "question": "Is Wakimachi approximately on the direct path from Gol’yanovo to eSikhaleni?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9434.3, + "via_waypoint_km": 20101.6, + "detour_km": 10667.3, + "detour_percent": 113.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Gol’yanovo", + " End: eSikhaleni", + " Waypoint: Wakimachi", + "Step 2: Calculate direct distance", + " Start → End: 9434.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20101.6 km", + "Step 4: Calculate detour", + " Detour = 20101.6 - 9434.3 = 10667.3 km", + " Detour % = (10667.3 / 9434.3) × 100 = 113.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 113.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 34.12018, + "lon": 72.46982, + "name": "Swabi" + }, + "end": { + "lat": 36.22787, + "lon": 139.73446, + "name": "Nogi" + }, + "waypoint": { + "lat": 20.87537, + "lon": 92.53, + "name": "Buthidaung Town" + }, + "question": "Is Buthidaung Town approximately on the direct path from Swabi to Nogi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5990.2, + "via_waypoint_km": 7320.4, + "detour_km": 1330.2, + "detour_percent": 22.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Swabi", + " End: Nogi", + " Waypoint: Buthidaung Town", + "Step 2: Calculate direct distance", + " Start → End: 5990.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 7320.4 km", + "Step 4: Calculate detour", + " Detour = 7320.4 - 5990.2 = 1330.2 km", + " Detour % = (1330.2 / 5990.2) × 100 = 22.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 22.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -13.52728, + "lon": -71.9843, + "name": "Santiago" + }, + "end": { + "lat": 38.71028, + "lon": 127.59833, + "name": "Hoeyang" + }, + "waypoint": { + "lat": 36.52389, + "lon": 2.86131, + "name": "Beni Mered" + }, + "question": "Is Beni Mered approximately on the direct path from Santiago to Hoeyang?", + "ground_truth": { + "answer": false, + "direct_distance_km": 16616.6, + "via_waypoint_km": 19505.6, + "detour_km": 2888.9, + "detour_percent": 17.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Santiago", + " End: Hoeyang", + " Waypoint: Beni Mered", + "Step 2: Calculate direct distance", + " Start → End: 16616.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19505.6 km", + "Step 4: Calculate detour", + " Detour = 19505.6 - 16616.6 = 2888.9 km", + " Detour % = (2888.9 / 16616.6) × 100 = 17.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 17.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -3.33907, + "lon": 31.52344, + "name": "Diobahika" + }, + "end": { + "lat": -14.80306, + "lon": 36.53722, + "name": "Cuamba" + }, + "waypoint": { + "lat": -37.91482, + "lon": 144.75088, + "name": "Point Cook" + }, + "question": "Is Point Cook approximately on the direct path from Diobahika to Cuamba?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1388.1, + "via_waypoint_km": 22308.0, + "detour_km": 20919.8, + "detour_percent": 1507.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Diobahika", + " End: Cuamba", + " Waypoint: Point Cook", + "Step 2: Calculate direct distance", + " Start → End: 1388.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22308.0 km", + "Step 4: Calculate detour", + " Detour = 22308.0 - 1388.1 = 20919.8 km", + " Detour % = (20919.8 / 1388.1) × 100 = 1507.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1507.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 29.26083, + "lon": 80.94, + "name": "Dipayal" + }, + "end": { + "lat": 34.1975, + "lon": -119.17705, + "name": "Oxnard" + }, + "waypoint": { + "lat": -26.36737, + "lon": 28.9189, + "name": "Leslie" + }, + "question": "Is Leslie approximately on the direct path from Dipayal to Oxnard?", + "ground_truth": { + "answer": false, + "direct_distance_km": 12649.0, + "via_waypoint_km": 25150.8, + "detour_km": 12501.8, + "detour_percent": 98.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Dipayal", + " End: Oxnard", + " Waypoint: Leslie", + "Step 2: Calculate direct distance", + " Start → End: 12649.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25150.8 km", + "Step 4: Calculate detour", + " Detour = 25150.8 - 12649.0 = 12501.8 km", + " Detour % = (12501.8 / 12649.0) × 100 = 98.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 98.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 13.59072, + "lon": 100.10748, + "name": "Ban Phaeo" + }, + "end": { + "lat": -7.36194, + "lon": -46.61722, + "name": "Riachão" + }, + "waypoint": { + "lat": -15.77972, + "lon": -47.92972, + "name": "Brasília" + }, + "question": "Is Brasília approximately on the direct path from Ban Phaeo to Riachão?", + "ground_truth": { + "answer": true, + "direct_distance_km": 16315.1, + "via_waypoint_km": 17518.5, + "detour_km": 1203.5, + "detour_percent": 7.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ban Phaeo", + " End: Riachão", + " Waypoint: Brasília", + "Step 2: Calculate direct distance", + " Start → End: 16315.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17518.5 km", + "Step 4: Calculate detour", + " Detour = 17518.5 - 16315.1 = 1203.5 km", + " Detour % = (1203.5 / 16315.1) × 100 = 7.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 7.4% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 35.7, + "lon": 138.45, + "name": "Nirasaki" + }, + "end": { + "lat": 13.40417, + "lon": -16.65583, + "name": "Abuko" + }, + "waypoint": { + "lat": -33.2792, + "lon": 115.71504, + "name": "Australind" + }, + "question": "Is Australind approximately on the direct path from Nirasaki to Abuko?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13959.5, + "via_waypoint_km": 22757.0, + "detour_km": 8797.5, + "detour_percent": 63.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Nirasaki", + " End: Abuko", + " Waypoint: Australind", + "Step 2: Calculate direct distance", + " Start → End: 13959.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22757.0 km", + "Step 4: Calculate detour", + " Detour = 22757.0 - 13959.5 = 8797.5 km", + " Detour % = (8797.5 / 13959.5) × 100 = 63.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 63.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 2.68489, + "lon": -75.32311, + "name": "Campoalegre" + }, + "end": { + "lat": 56.65317, + "lon": 66.30048, + "name": "Yalutorovsk" + }, + "waypoint": { + "lat": 35.91014, + "lon": -79.07529, + "name": "Carrboro" + }, + "question": "Is Carrboro approximately on the direct path from Campoalegre to Yalutorovsk?", + "ground_truth": { + "answer": true, + "direct_distance_km": 12569.2, + "via_waypoint_km": 12932.8, + "detour_km": 363.6, + "detour_percent": 2.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Campoalegre", + " End: Yalutorovsk", + " Waypoint: Carrboro", + "Step 2: Calculate direct distance", + " Start → End: 12569.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12932.8 km", + "Step 4: Calculate detour", + " Detour = 12932.8 - 12569.2 = 363.6 km", + " Detour % = (363.6 / 12569.2) × 100 = 2.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2.9% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.85481, + "lon": 81.63545, + "name": "Jiayi" + }, + "end": { + "lat": -23.4717, + "lon": -46.57923, + "name": "Vila Galvão" + }, + "waypoint": { + "lat": 0.50833, + "lon": 33.28778, + "name": "Kakira" + }, + "question": "Is Kakira approximately on the direct path from Jiayi to Vila Galvão?", + "ground_truth": { + "answer": true, + "direct_distance_km": 14884.8, + "via_waypoint_km": 15393.0, + "detour_km": 508.3, + "detour_percent": 3.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Jiayi", + " End: Vila Galvão", + " Waypoint: Kakira", + "Step 2: Calculate direct distance", + " Start → End: 14884.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15393.0 km", + "Step 4: Calculate detour", + " Detour = 15393.0 - 14884.8 = 508.3 km", + " Detour % = (508.3 / 14884.8) × 100 = 3.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 3.4% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 22.92787, + "lon": 112.03809, + "name": "Yunfu" + }, + "end": { + "lat": 42.5084, + "lon": 41.86796, + "name": "Zugdidi" + }, + "waypoint": { + "lat": 46.04178, + "lon": -73.11358, + "name": "Sorel-Tracy" + }, + "question": "Is Sorel-Tracy approximately on the direct path from Yunfu to Zugdidi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6719.1, + "via_waypoint_km": 20592.2, + "detour_km": 13873.1, + "detour_percent": 206.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Yunfu", + " End: Zugdidi", + " Waypoint: Sorel-Tracy", + "Step 2: Calculate direct distance", + " Start → End: 6719.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20592.2 km", + "Step 4: Calculate detour", + " Detour = 20592.2 - 6719.1 = 13873.1 km", + " Detour % = (13873.1 / 6719.1) × 100 = 206.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 206.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 24.90652, + "lon": 32.88563, + "name": "Ar Radīsīyah Qiblī" + }, + "end": { + "lat": -26.26781, + "lon": 27.85849, + "name": "Soweto" + }, + "waypoint": { + "lat": 29.3831, + "lon": 106.01476, + "name": "Da’an" + }, + "question": "Is Da’an approximately on the direct path from Ar Radīsīyah Qiblī to Soweto?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5715.9, + "via_waypoint_km": 17502.8, + "detour_km": 11786.9, + "detour_percent": 206.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ar Radīsīyah Qiblī", + " End: Soweto", + " Waypoint: Da’an", + "Step 2: Calculate direct distance", + " Start → End: 5715.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17502.8 km", + "Step 4: Calculate detour", + " Detour = 17502.8 - 5715.9 = 11786.9 km", + " Detour % = (11786.9 / 5715.9) × 100 = 206.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 206.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 20.83417, + "lon": 76.45924, + "name": "Nāndūra" + }, + "end": { + "lat": 42.06224, + "lon": 129.70457, + "name": "Puryŏng-ŭp" + }, + "waypoint": { + "lat": 18.61501, + "lon": -68.70798, + "name": "Salvaleón de Higüey" + }, + "question": "Is Salvaleón de Higüey approximately on the direct path from Nāndūra to Puryŏng-ŭp?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5470.3, + "via_waypoint_km": 27223.2, + "detour_km": 21752.9, + "detour_percent": 397.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Nāndūra", + " End: Puryŏng-ŭp", + " Waypoint: Salvaleón de Higüey", + "Step 2: Calculate direct distance", + " Start → End: 5470.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27223.2 km", + "Step 4: Calculate detour", + " Detour = 27223.2 - 5470.3 = 21752.9 km", + " Detour % = (21752.9 / 5470.3) × 100 = 397.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 397.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 38.54491, + "lon": -121.74052, + "name": "Davis" + }, + "end": { + "lat": 8.4022, + "lon": 14.1698, + "name": "Tcholliré" + }, + "waypoint": { + "lat": -19.30323, + "lon": 146.72531, + "name": "Kirwan" + }, + "question": "Is Kirwan approximately on the direct path from Davis to Tcholliré?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13086.5, + "via_waypoint_km": 26227.5, + "detour_km": 13141.1, + "detour_percent": 100.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Davis", + " End: Tcholliré", + " Waypoint: Kirwan", + "Step 2: Calculate direct distance", + " Start → End: 13086.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26227.5 km", + "Step 4: Calculate detour", + " Detour = 26227.5 - 13086.5 = 13141.1 km", + " Detour % = (13141.1 / 13086.5) × 100 = 100.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 100.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 29.15394, + "lon": 75.72294, + "name": "Hisar" + }, + "end": { + "lat": 31.48621, + "lon": 131.2421, + "name": "Kushima" + }, + "waypoint": { + "lat": -3.27778, + "lon": -39.26889, + "name": "Trairi" + }, + "question": "Is Trairi approximately on the direct path from Hisar to Kushima?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5277.7, + "via_waypoint_km": 29327.9, + "detour_km": 24050.2, + "detour_percent": 455.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Hisar", + " End: Kushima", + " Waypoint: Trairi", + "Step 2: Calculate direct distance", + " Start → End: 5277.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 29327.9 km", + "Step 4: Calculate detour", + " Detour = 29327.9 - 5277.7 = 24050.2 km", + " Detour % = (24050.2 / 5277.7) × 100 = 455.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 455.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -10.44333, + "lon": -45.16222, + "name": "Corrente" + }, + "end": { + "lat": 42.1251, + "lon": -71.10227, + "name": "Stoughton" + }, + "waypoint": { + "lat": 32.65, + "lon": 130.66667, + "name": "Matsubase" + }, + "question": "Is Matsubase approximately on the direct path from Corrente to Stoughton?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6416.1, + "via_waypoint_km": 28917.3, + "detour_km": 22501.1, + "detour_percent": 350.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Corrente", + " End: Stoughton", + " Waypoint: Matsubase", + "Step 2: Calculate direct distance", + " Start → End: 6416.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 28917.3 km", + "Step 4: Calculate detour", + " Detour = 28917.3 - 6416.1 = 22501.1 km", + " Detour % = (22501.1 / 6416.1) × 100 = 350.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 350.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 52.04098, + "lon": 4.36981, + "name": "Ypenburg" + }, + "end": { + "lat": 28.86586, + "lon": 77.2841, + "name": "Khekra" + }, + "waypoint": { + "lat": 9.45082, + "lon": -75.43864, + "name": "Tolú Viejo" + }, + "question": "Is Tolú Viejo approximately on the direct path from Ypenburg to Khekra?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6381.6, + "via_waypoint_km": 23330.4, + "detour_km": 16948.7, + "detour_percent": 265.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ypenburg", + " End: Khekra", + " Waypoint: Tolú Viejo", + "Step 2: Calculate direct distance", + " Start → End: 6381.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23330.4 km", + "Step 4: Calculate detour", + " Detour = 23330.4 - 6381.6 = 16948.7 km", + " Detour % = (16948.7 / 6381.6) × 100 = 265.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 265.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 52.54734, + "lon": 13.35594, + "name": "Wedding" + }, + "end": { + "lat": -25.40778, + "lon": -52.41611, + "name": "Laranjeiras do Sul" + }, + "waypoint": { + "lat": 33.94306, + "lon": 131.25111, + "name": "Ube" + }, + "question": "Is Ube approximately on the direct path from Wedding to Laranjeiras do Sul?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10743.1, + "via_waypoint_km": 27679.8, + "detour_km": 16936.7, + "detour_percent": 157.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Wedding", + " End: Laranjeiras do Sul", + " Waypoint: Ube", + "Step 2: Calculate direct distance", + " Start → End: 10743.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27679.8 km", + "Step 4: Calculate detour", + " Detour = 27679.8 - 10743.1 = 16936.7 km", + " Detour % = (16936.7 / 10743.1) × 100 = 157.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 157.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 52.35088, + "lon": 14.56065, + "name": "Słubice" + }, + "end": { + "lat": 35.36667, + "lon": 132.76667, + "name": "Izumo" + }, + "waypoint": { + "lat": 33.40539, + "lon": -86.81138, + "name": "Hoover" + }, + "question": "Is Hoover approximately on the direct path from Słubice to Izumo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8575.7, + "via_waypoint_km": 19158.3, + "detour_km": 10582.5, + "detour_percent": 123.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Słubice", + " End: Izumo", + " Waypoint: Hoover", + "Step 2: Calculate direct distance", + " Start → End: 8575.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19158.3 km", + "Step 4: Calculate detour", + " Detour = 19158.3 - 8575.7 = 10582.5 km", + " Detour % = (10582.5 / 8575.7) × 100 = 123.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 123.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 41.37732, + "lon": 2.08809, + "name": "Esplugues de Llobregat" + }, + "end": { + "lat": 38.03013, + "lon": 23.72379, + "name": "Ágioi Anárgyroi" + }, + "waypoint": { + "lat": 7.91283, + "lon": 4.66741, + "name": "Ikirun" + }, + "question": "Is Ikirun approximately on the direct path from Esplugues de Llobregat to Ágioi Anárgyroi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1882.7, + "via_waypoint_km": 7587.1, + "detour_km": 5704.4, + "detour_percent": 303.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Esplugues de Llobregat", + " End: Ágioi Anárgyroi", + " Waypoint: Ikirun", + "Step 2: Calculate direct distance", + " Start → End: 1882.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 7587.1 km", + "Step 4: Calculate detour", + " Detour = 7587.1 - 1882.7 = 5704.4 km", + " Detour % = (5704.4 / 1882.7) × 100 = 303.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 303.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -31.53726, + "lon": -68.52568, + "name": "San Juan" + }, + "end": { + "lat": -18.41778, + "lon": -46.41806, + "name": "Presidente Olegário" + }, + "waypoint": { + "lat": 58.045, + "lon": 60.551, + "name": "Verkhnyaya Salda" + }, + "question": "Is Verkhnyaya Salda approximately on the direct path from San Juan to Presidente Olegário?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2654.5, + "via_waypoint_km": 27935.0, + "detour_km": 25280.5, + "detour_percent": 952.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: San Juan", + " End: Presidente Olegário", + " Waypoint: Verkhnyaya Salda", + "Step 2: Calculate direct distance", + " Start → End: 2654.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27935.0 km", + "Step 4: Calculate detour", + " Detour = 27935.0 - 2654.5 = 25280.5 km", + " Detour % = (25280.5 / 2654.5) × 100 = 952.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 952.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 13.20037, + "lon": 80.17606, + "name": "Pādiyanallūr" + }, + "end": { + "lat": 14.4968, + "lon": 121.2846, + "name": "Tanay" + }, + "waypoint": { + "lat": -25.33177, + "lon": 31.01166, + "name": "White River" + }, + "question": "Is White River approximately on the direct path from Pādiyanallūr to Tanay?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4434.7, + "via_waypoint_km": 17552.5, + "detour_km": 13117.8, + "detour_percent": 295.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Pādiyanallūr", + " End: Tanay", + " Waypoint: White River", + "Step 2: Calculate direct distance", + " Start → End: 4434.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17552.5 km", + "Step 4: Calculate detour", + " Detour = 17552.5 - 4434.7 = 13117.8 km", + " Detour % = (13117.8 / 4434.7) × 100 = 295.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 295.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 50.80154, + "lon": 4.41436, + "name": "Watermael-Boitsfort" + }, + "end": { + "lat": 12.22336, + "lon": 4.37971, + "name": "Jega" + }, + "waypoint": { + "lat": -36.88333, + "lon": 174.7, + "name": "Avondale" + }, + "question": "Is Avondale approximately on the direct path from Watermael-Boitsfort to Jega?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4289.7, + "via_waypoint_km": 35393.6, + "detour_km": 31103.9, + "detour_percent": 725.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Watermael-Boitsfort", + " End: Jega", + " Waypoint: Avondale", + "Step 2: Calculate direct distance", + " Start → End: 4289.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 35393.6 km", + "Step 4: Calculate detour", + " Detour = 35393.6 - 4289.7 = 31103.9 km", + " Detour % = (31103.9 / 4289.7) × 100 = 725.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 725.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 50.76871, + "lon": 0.28453, + "name": "Eastbourne" + }, + "end": { + "lat": -9.44112, + "lon": 159.97002, + "name": "Kola'a" + }, + "waypoint": { + "lat": -25.21306, + "lon": -50.97778, + "name": "Prudentópolis" + }, + "question": "Is Prudentópolis approximately on the direct path from Eastbourne to Kola'a?", + "ground_truth": { + "answer": false, + "direct_distance_km": 15056.8, + "via_waypoint_km": 24736.5, + "detour_km": 9679.7, + "detour_percent": 64.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Eastbourne", + " End: Kola'a", + " Waypoint: Prudentópolis", + "Step 2: Calculate direct distance", + " Start → End: 15056.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24736.5 km", + "Step 4: Calculate detour", + " Detour = 24736.5 - 15056.8 = 9679.7 km", + " Detour % = (9679.7 / 15056.8) × 100 = 64.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 64.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 25.17047, + "lon": 55.23336, + "name": "Al Safa" + }, + "end": { + "lat": 43.73917, + "lon": -79.24576, + "name": "Eglinton East" + }, + "waypoint": { + "lat": 6.78634, + "lon": -7.39338, + "name": "Fengolo" + }, + "question": "Is Fengolo approximately on the direct path from Al Safa to Eglinton East?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11057.8, + "via_waypoint_km": 14969.2, + "detour_km": 3911.5, + "detour_percent": 35.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Al Safa", + " End: Eglinton East", + " Waypoint: Fengolo", + "Step 2: Calculate direct distance", + " Start → End: 11057.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14969.2 km", + "Step 4: Calculate detour", + " Detour = 14969.2 - 11057.8 = 3911.5 km", + " Detour % = (3911.5 / 11057.8) × 100 = 35.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 35.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 26.86879, + "lon": 100.22072, + "name": "Lijiang" + }, + "end": { + "lat": 6.56487, + "lon": -7.42735, + "name": "Goya" + }, + "waypoint": { + "lat": -28.21901, + "lon": 152.03438, + "name": "Warwick" + }, + "question": "Is Warwick approximately on the direct path from Lijiang to Goya?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11401.1, + "via_waypoint_km": 25030.5, + "detour_km": 13629.4, + "detour_percent": 119.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Lijiang", + " End: Goya", + " Waypoint: Warwick", + "Step 2: Calculate direct distance", + " Start → End: 11401.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25030.5 km", + "Step 4: Calculate detour", + " Detour = 25030.5 - 11401.1 = 13629.4 km", + " Detour % = (13629.4 / 11401.1) × 100 = 119.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 119.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 48.14146, + "lon": 11.45599, + "name": "Pasing" + }, + "end": { + "lat": 22.46767, + "lon": 114.20812, + "name": "Shuen Wan" + }, + "waypoint": { + "lat": 6.71667, + "lon": 37.56667, + "name": "Gasuba" + }, + "question": "Is Gasuba approximately on the direct path from Pasing to Shuen Wan?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9057.8, + "via_waypoint_km": 13577.8, + "detour_km": 4520.0, + "detour_percent": 49.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Pasing", + " End: Shuen Wan", + " Waypoint: Gasuba", + "Step 2: Calculate direct distance", + " Start → End: 9057.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13577.8 km", + "Step 4: Calculate detour", + " Detour = 13577.8 - 9057.8 = 4520.0 km", + " Detour % = (4520.0 / 9057.8) × 100 = 49.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 49.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 13.50601, + "lon": 7.77863, + "name": "Aguié" + }, + "end": { + "lat": 14.44776, + "lon": -11.44393, + "name": "Kayes" + }, + "waypoint": { + "lat": 35.73231, + "lon": 114.28616, + "name": "Hebi" + }, + "question": "Is Hebi approximately on the direct path from Aguié to Kayes?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2076.2, + "via_waypoint_km": 22606.2, + "detour_km": 20530.0, + "detour_percent": 988.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Aguié", + " End: Kayes", + " Waypoint: Hebi", + "Step 2: Calculate direct distance", + " Start → End: 2076.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22606.2 km", + "Step 4: Calculate detour", + " Detour = 22606.2 - 2076.2 = 20530.0 km", + " Detour % = (20530.0 / 2076.2) × 100 = 988.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 988.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 39.29038, + "lon": -76.61219, + "name": "Baltimore" + }, + "end": { + "lat": 43.64929, + "lon": -79.33565, + "name": "South Riverdale" + }, + "waypoint": { + "lat": 40.44689, + "lon": -4.00428, + "name": "Villanueva de la Cañada" + }, + "question": "Is Villanueva de la Cañada approximately on the direct path from Baltimore to South Riverdale?", + "ground_truth": { + "answer": false, + "direct_distance_km": 535.1, + "via_waypoint_km": 12020.6, + "detour_km": 11485.5, + "detour_percent": 2146.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Baltimore", + " End: South Riverdale", + " Waypoint: Villanueva de la Cañada", + "Step 2: Calculate direct distance", + " Start → End: 535.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12020.6 km", + "Step 4: Calculate detour", + " Detour = 12020.6 - 535.1 = 11485.5 km", + " Detour % = (11485.5 / 535.1) × 100 = 2146.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2146.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 25.5783, + "lon": -80.3377, + "name": "Cutler Bay" + }, + "end": { + "lat": 48.11109, + "lon": -1.67431, + "name": "Rennes" + }, + "waypoint": { + "lat": -23.49032, + "lon": -46.6387, + "name": "Santana" + }, + "question": "Is Santana approximately on the direct path from Cutler Bay to Rennes?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7106.4, + "via_waypoint_km": 15687.2, + "detour_km": 8580.8, + "detour_percent": 120.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Cutler Bay", + " End: Rennes", + " Waypoint: Santana", + "Step 2: Calculate direct distance", + " Start → End: 7106.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15687.2 km", + "Step 4: Calculate detour", + " Detour = 15687.2 - 7106.4 = 8580.8 km", + " Detour % = (8580.8 / 7106.4) × 100 = 120.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 120.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 37.21533, + "lon": -93.29824, + "name": "Springfield" + }, + "end": { + "lat": 43.2134, + "lon": -77.57972, + "name": "Irondequoit" + }, + "waypoint": { + "lat": 44.38808, + "lon": 26.07144, + "name": "Sector 5" + }, + "question": "Is Sector 5 approximately on the direct path from Springfield to Irondequoit?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1488.8, + "via_waypoint_km": 16775.4, + "detour_km": 15286.6, + "detour_percent": 1026.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Springfield", + " End: Irondequoit", + " Waypoint: Sector 5", + "Step 2: Calculate direct distance", + " Start → End: 1488.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16775.4 km", + "Step 4: Calculate detour", + " Detour = 16775.4 - 1488.8 = 15286.6 km", + " Detour % = (15286.6 / 1488.8) × 100 = 1026.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1026.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -4.90389, + "lon": -80.68528, + "name": "Sullana" + }, + "end": { + "lat": 46.43301, + "lon": 6.91143, + "name": "Montreux" + }, + "waypoint": { + "lat": 40.72677, + "lon": -73.6343, + "name": "Garden City" + }, + "question": "Is Garden City approximately on the direct path from Sullana to Montreux?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10218.7, + "via_waypoint_km": 11356.5, + "detour_km": 1137.8, + "detour_percent": 11.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sullana", + " End: Montreux", + " Waypoint: Garden City", + "Step 2: Calculate direct distance", + " Start → End: 10218.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11356.5 km", + "Step 4: Calculate detour", + " Detour = 11356.5 - 10218.7 = 1137.8 km", + " Detour % = (1137.8 / 10218.7) × 100 = 11.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 11.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 26.77534, + "lon": -80.0581, + "name": "Riviera Beach" + }, + "end": { + "lat": 43.67089, + "lon": -79.52246, + "name": "Edenbridge-Humber Valley" + }, + "waypoint": { + "lat": 48.88436, + "lon": 8.69892, + "name": "Pforzheim" + }, + "question": "Is Pforzheim approximately on the direct path from Riviera Beach to Edenbridge-Humber Valley?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1879.3, + "via_waypoint_km": 14126.1, + "detour_km": 12246.8, + "detour_percent": 651.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Riviera Beach", + " End: Edenbridge-Humber Valley", + " Waypoint: Pforzheim", + "Step 2: Calculate direct distance", + " Start → End: 1879.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14126.1 km", + "Step 4: Calculate detour", + " Detour = 14126.1 - 1879.3 = 12246.8 km", + " Detour % = (12246.8 / 1879.3) × 100 = 651.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 651.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -11.2951, + "lon": -41.98605, + "name": "Presidente Dutra" + }, + "end": { + "lat": 38.16007, + "lon": -85.65968, + "name": "Newburg" + }, + "waypoint": { + "lat": -1.96571, + "lon": 29.98462, + "name": "Kamuhanda / Ruyenzi" + }, + "question": "Is Kamuhanda / Ruyenzi approximately on the direct path from Presidente Dutra to Newburg?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7128.5, + "via_waypoint_km": 20361.7, + "detour_km": 13233.2, + "detour_percent": 185.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Presidente Dutra", + " End: Newburg", + " Waypoint: Kamuhanda / Ruyenzi", + "Step 2: Calculate direct distance", + " Start → End: 7128.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20361.7 km", + "Step 4: Calculate detour", + " Detour = 20361.7 - 7128.5 = 13233.2 km", + " Detour % = (13233.2 / 7128.5) × 100 = 185.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 185.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -7.70028, + "lon": 110.56306, + "name": "Kebonarun" + }, + "end": { + "lat": 47.14121, + "lon": -122.27012, + "name": "South Hill" + }, + "waypoint": { + "lat": 36.0584, + "lon": -90.49733, + "name": "Paragould" + }, + "question": "Is Paragould approximately on the direct path from Kebonarun to South Hill?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13383.5, + "via_waypoint_km": 19094.3, + "detour_km": 5710.8, + "detour_percent": 42.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kebonarun", + " End: South Hill", + " Waypoint: Paragould", + "Step 2: Calculate direct distance", + " Start → End: 13383.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19094.3 km", + "Step 4: Calculate detour", + " Detour = 19094.3 - 13383.5 = 5710.8 km", + " Detour % = (5710.8 / 13383.5) × 100 = 42.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 42.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 42.44113, + "lon": 129.74601, + "name": "Hoeryŏng" + }, + "end": { + "lat": -14.28361, + "lon": -39.84278, + "name": "Itagibá" + }, + "waypoint": { + "lat": 17.80787, + "lon": -97.77956, + "name": "Ciudad de Huajuapan de León" + }, + "question": "Is Ciudad de Huajuapan de León approximately on the direct path from Hoeryŏng to Itagibá?", + "ground_truth": { + "answer": false, + "direct_distance_km": 16728.7, + "via_waypoint_km": 19022.3, + "detour_km": 2293.6, + "detour_percent": 13.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Hoeryŏng", + " End: Itagibá", + " Waypoint: Ciudad de Huajuapan de León", + "Step 2: Calculate direct distance", + " Start → End: 16728.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19022.3 km", + "Step 4: Calculate detour", + " Detour = 19022.3 - 16728.7 = 2293.6 km", + " Detour % = (2293.6 / 16728.7) × 100 = 13.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 13.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -2.89418, + "lon": -78.77907, + "name": "Gualaceo" + }, + "end": { + "lat": 37.12005, + "lon": -93.48019, + "name": "Republic" + }, + "waypoint": { + "lat": 30.57881, + "lon": -97.85307, + "name": "Leander" + }, + "question": "Is Leander approximately on the direct path from Gualaceo to Republic?", + "ground_truth": { + "answer": true, + "direct_distance_km": 4701.8, + "via_waypoint_km": 5068.2, + "detour_km": 366.3, + "detour_percent": 7.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Gualaceo", + " End: Republic", + " Waypoint: Leander", + "Step 2: Calculate direct distance", + " Start → End: 4701.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 5068.2 km", + "Step 4: Calculate detour", + " Detour = 5068.2 - 4701.8 = 366.3 km", + " Detour % = (366.3 / 4701.8) × 100 = 7.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 7.8% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 37.56675, + "lon": 14.90254, + "name": "Paternò" + }, + "end": { + "lat": 35.75264, + "lon": 139.73348, + "name": "Kita" + }, + "waypoint": { + "lat": -15.44623, + "lon": 28.53436, + "name": "Palabana" + }, + "question": "Is Palabana approximately on the direct path from Paternò to Kita?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10078.7, + "via_waypoint_km": 18964.1, + "detour_km": 8885.4, + "detour_percent": 88.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Paternò", + " End: Kita", + " Waypoint: Palabana", + "Step 2: Calculate direct distance", + " Start → End: 10078.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18964.1 km", + "Step 4: Calculate detour", + " Detour = 18964.1 - 10078.7 = 8885.4 km", + " Detour % = (8885.4 / 10078.7) × 100 = 88.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 88.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 57.38395, + "lon": 41.29165, + "name": "Privolzhsk" + }, + "end": { + "lat": 53.37831, + "lon": -2.33271, + "name": "Hale" + }, + "waypoint": { + "lat": 8.9, + "lon": 40.78333, + "name": "Bedēsa" + }, + "question": "Is Bedēsa approximately on the direct path from Privolzhsk to Hale?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2742.4, + "via_waypoint_km": 11655.2, + "detour_km": 8912.8, + "detour_percent": 325.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Privolzhsk", + " End: Hale", + " Waypoint: Bedēsa", + "Step 2: Calculate direct distance", + " Start → End: 2742.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11655.2 km", + "Step 4: Calculate detour", + " Detour = 11655.2 - 2742.4 = 8912.8 km", + " Detour % = (8912.8 / 2742.4) × 100 = 325.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 325.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 56.70153, + "lon": 36.77305, + "name": "Konakovo" + }, + "end": { + "lat": 49.64868, + "lon": -1.65306, + "name": "Équeurdreville-Hainneville" + }, + "waypoint": { + "lat": 52.99063, + "lon": 123.23522, + "name": "Xilinji" + }, + "question": "Is Xilinji approximately on the direct path from Konakovo to Équeurdreville-Hainneville?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2638.8, + "via_waypoint_km": 12660.5, + "detour_km": 10021.7, + "detour_percent": 379.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Konakovo", + " End: Équeurdreville-Hainneville", + " Waypoint: Xilinji", + "Step 2: Calculate direct distance", + " Start → End: 2638.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12660.5 km", + "Step 4: Calculate detour", + " Detour = 12660.5 - 2638.8 = 10021.7 km", + " Detour % = (10021.7 / 2638.8) × 100 = 379.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 379.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 28.98, + "lon": 79.4, + "name": "Rudrapur" + }, + "end": { + "lat": 39.72746, + "lon": 64.55466, + "name": "Kogon Shahri" + }, + "waypoint": { + "lat": 40.82149, + "lon": -73.98764, + "name": "Cliffside Park" + }, + "question": "Is Cliffside Park approximately on the direct path from Rudrapur to Kogon Shahri?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1808.0, + "via_waypoint_km": 21908.0, + "detour_km": 20100.0, + "detour_percent": 1111.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Rudrapur", + " End: Kogon Shahri", + " Waypoint: Cliffside Park", + "Step 2: Calculate direct distance", + " Start → End: 1808.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21908.0 km", + "Step 4: Calculate detour", + " Detour = 21908.0 - 1808.0 = 20100.0 km", + " Detour % = (20100.0 / 1808.0) × 100 = 1111.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1111.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 8.88605, + "lon": -12.04417, + "name": "Makeni" + }, + "end": { + "lat": 34.79936, + "lon": 135.35697, + "name": "Takarazuka" + }, + "waypoint": { + "lat": 38.83494, + "lon": -90.28511, + "name": "Old Jamestown" + }, + "question": "Is Old Jamestown approximately on the direct path from Makeni to Takarazuka?", + "ground_truth": { + "answer": false, + "direct_distance_km": 14070.2, + "via_waypoint_km": 18950.7, + "detour_km": 4880.5, + "detour_percent": 34.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Makeni", + " End: Takarazuka", + " Waypoint: Old Jamestown", + "Step 2: Calculate direct distance", + " Start → End: 14070.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18950.7 km", + "Step 4: Calculate detour", + " Detour = 18950.7 - 14070.2 = 4880.5 km", + " Detour % = (4880.5 / 14070.2) × 100 = 34.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 34.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -36.9256, + "lon": -73.02841, + "name": "Chiguayante" + }, + "end": { + "lat": 26.26584, + "lon": 78.67108, + "name": "Mau" + }, + "waypoint": { + "lat": 20.4475, + "lon": 99.88083, + "name": "Tachilek" + }, + "question": "Is Tachilek approximately on the direct path from Chiguayante to Mau?", + "ground_truth": { + "answer": false, + "direct_distance_km": 17098.9, + "via_waypoint_km": 20314.7, + "detour_km": 3215.8, + "detour_percent": 18.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Chiguayante", + " End: Mau", + " Waypoint: Tachilek", + "Step 2: Calculate direct distance", + " Start → End: 17098.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20314.7 km", + "Step 4: Calculate detour", + " Detour = 20314.7 - 17098.9 = 3215.8 km", + " Detour % = (3215.8 / 17098.9) × 100 = 18.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 18.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 39.23054, + "lon": 9.11917, + "name": "Cagliari" + }, + "end": { + "lat": 43.85495, + "lon": 41.59019, + "name": "Zelenchukskaya" + }, + "waypoint": { + "lat": -33.01327, + "lon": -71.26084, + "name": "Limache" + }, + "question": "Is Limache approximately on the direct path from Cagliari to Zelenchukskaya?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2732.6, + "via_waypoint_km": 25731.4, + "detour_km": 22998.8, + "detour_percent": 841.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Cagliari", + " End: Zelenchukskaya", + " Waypoint: Limache", + "Step 2: Calculate direct distance", + " Start → End: 2732.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25731.4 km", + "Step 4: Calculate detour", + " Detour = 25731.4 - 2732.6 = 22998.8 km", + " Detour % = (22998.8 / 2732.6) × 100 = 841.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 841.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 7.02355, + "lon": 37.86084, + "name": "Shanto" + }, + "end": { + "lat": 7.10769, + "lon": -7.55207, + "name": "Logoualé" + }, + "waypoint": { + "lat": 35.68972, + "lon": 139.71641, + "name": "Yotsuya" + }, + "question": "Is Yotsuya approximately on the direct path from Shanto to Logoualé?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5009.2, + "via_waypoint_km": 24762.5, + "detour_km": 19753.3, + "detour_percent": 394.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Shanto", + " End: Logoualé", + " Waypoint: Yotsuya", + "Step 2: Calculate direct distance", + " Start → End: 5009.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24762.5 km", + "Step 4: Calculate detour", + " Detour = 24762.5 - 5009.2 = 19753.3 km", + " Detour % = (19753.3 / 5009.2) × 100 = 394.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 394.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 25.33268, + "lon": 82.46637, + "name": "Gyānpur" + }, + "end": { + "lat": -22.61222, + "lon": -46.0575, + "name": "Cambuí" + }, + "waypoint": { + "lat": 5.79565, + "lon": 14.82799, + "name": "Baboua" + }, + "question": "Is Baboua approximately on the direct path from Gyānpur to Cambuí?", + "ground_truth": { + "answer": true, + "direct_distance_km": 14808.0, + "via_waypoint_km": 14817.3, + "detour_km": 9.3, + "detour_percent": 0.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Gyānpur", + " End: Cambuí", + " Waypoint: Baboua", + "Step 2: Calculate direct distance", + " Start → End: 14808.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14817.3 km", + "Step 4: Calculate detour", + " Detour = 14817.3 - 14808.0 = 9.3 km", + " Detour % = (9.3 / 14808.0) × 100 = 0.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.1% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.19661, + "lon": 44.5669, + "name": "Nor Nork" + }, + "end": { + "lat": 34.06153, + "lon": 108.62905, + "name": "Yuxia" + }, + "waypoint": { + "lat": 20.71598, + "lon": -105.20508, + "name": "Ixtapa" + }, + "question": "Is Ixtapa approximately on the direct path from Nor Nork to Yuxia?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5597.3, + "via_waypoint_km": 25502.5, + "detour_km": 19905.2, + "detour_percent": 355.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Nor Nork", + " End: Yuxia", + " Waypoint: Ixtapa", + "Step 2: Calculate direct distance", + " Start → End: 5597.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25502.5 km", + "Step 4: Calculate detour", + " Detour = 25502.5 - 5597.3 = 19905.2 km", + " Detour % = (19905.2 / 5597.3) × 100 = 355.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 355.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -23.3075, + "lon": -47.13278, + "name": "Cabreúva" + }, + "end": { + "lat": 42.01892, + "lon": -87.80284, + "name": "Niles" + }, + "waypoint": { + "lat": 46.19444, + "lon": 100.71806, + "name": "Bayanhongor" + }, + "question": "Is Bayanhongor approximately on the direct path from Cabreúva to Niles?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8380.2, + "via_waypoint_km": 26345.2, + "detour_km": 17964.9, + "detour_percent": 214.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Cabreúva", + " End: Niles", + " Waypoint: Bayanhongor", + "Step 2: Calculate direct distance", + " Start → End: 8380.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26345.2 km", + "Step 4: Calculate detour", + " Detour = 26345.2 - 8380.2 = 17964.9 km", + " Detour % = (17964.9 / 8380.2) × 100 = 214.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 214.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 26.03033, + "lon": 119.59739, + "name": "Tantou" + }, + "end": { + "lat": -34.66267, + "lon": -58.69819, + "name": "San Antonio de Padua" + }, + "waypoint": { + "lat": -15.025, + "lon": 38.0425, + "name": "Iapala" + }, + "question": "Is Iapala approximately on the direct path from Tantou to San Antonio de Padua?", + "ground_truth": { + "answer": true, + "direct_distance_km": 19041.4, + "via_waypoint_km": 19582.4, + "detour_km": 541.0, + "detour_percent": 2.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tantou", + " End: San Antonio de Padua", + " Waypoint: Iapala", + "Step 2: Calculate direct distance", + " Start → End: 19041.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19582.4 km", + "Step 4: Calculate detour", + " Detour = 19582.4 - 19041.4 = 541.0 km", + " Detour % = (541.0 / 19041.4) × 100 = 2.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2.8% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 13.27136, + "lon": -16.64944, + "name": "Brikama" + }, + "end": { + "lat": 40.73793, + "lon": 13.94862, + "name": "Ischia" + }, + "waypoint": { + "lat": 25.47758, + "lon": 80.33491, + "name": "Bānda" + }, + "question": "Is Bānda approximately on the direct path from Brikama to Ischia?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4260.6, + "via_waypoint_km": 16320.4, + "detour_km": 12059.7, + "detour_percent": 283.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Brikama", + " End: Ischia", + " Waypoint: Bānda", + "Step 2: Calculate direct distance", + " Start → End: 4260.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16320.4 km", + "Step 4: Calculate detour", + " Detour = 16320.4 - 4260.6 = 12059.7 km", + " Detour % = (12059.7 / 4260.6) × 100 = 283.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 283.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 32.90495, + "lon": 73.75518, + "name": "Sarai Alamgir" + }, + "end": { + "lat": 17.00778, + "lon": 99.823, + "name": "Sukhothai" + }, + "waypoint": { + "lat": 14.85, + "lon": -15.88333, + "name": "Touba" + }, + "question": "Is Touba approximately on the direct path from Sarai Alamgir to Sukhothai?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3152.1, + "via_waypoint_km": 21207.6, + "detour_km": 18055.5, + "detour_percent": 572.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sarai Alamgir", + " End: Sukhothai", + " Waypoint: Touba", + "Step 2: Calculate direct distance", + " Start → End: 3152.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21207.6 km", + "Step 4: Calculate detour", + " Detour = 21207.6 - 3152.1 = 18055.5 km", + " Detour % = (18055.5 / 3152.1) × 100 = 572.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 572.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 30.83752, + "lon": 35.60442, + "name": "Aţ Ţafīlah" + }, + "end": { + "lat": 21.05194, + "lon": 76.53464, + "name": "Jalgaon Jamod" + }, + "waypoint": { + "lat": 19.03689, + "lon": -98.79516, + "name": "Ozumba de Alzate" + }, + "question": "Is Ozumba de Alzate approximately on the direct path from Aţ Ţafīlah to Jalgaon Jamod?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4209.6, + "via_waypoint_km": 28162.6, + "detour_km": 23953.0, + "detour_percent": 569.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Aţ Ţafīlah", + " End: Jalgaon Jamod", + " Waypoint: Ozumba de Alzate", + "Step 2: Calculate direct distance", + " Start → End: 4209.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 28162.6 km", + "Step 4: Calculate detour", + " Detour = 28162.6 - 4209.6 = 23953.0 km", + " Detour % = (23953.0 / 4209.6) × 100 = 569.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 569.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 11.11541, + "lon": 77.35456, + "name": "Tiruppur" + }, + "end": { + "lat": 46.67686, + "lon": 131.13273, + "name": "Shuangyashan" + }, + "waypoint": { + "lat": 11.72745, + "lon": 75.55509, + "name": "Chockli" + }, + "question": "Is Chockli approximately on the direct path from Tiruppur to Shuangyashan?", + "ground_truth": { + "answer": true, + "direct_distance_km": 6387.8, + "via_waypoint_km": 6674.1, + "detour_km": 286.3, + "detour_percent": 4.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tiruppur", + " End: Shuangyashan", + " Waypoint: Chockli", + "Step 2: Calculate direct distance", + " Start → End: 6387.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 6674.1 km", + "Step 4: Calculate detour", + " Detour = 6674.1 - 6387.8 = 286.3 km", + " Detour % = (286.3 / 6387.8) × 100 = 4.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 4.5% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 41.74115, + "lon": -87.61255, + "name": "Chatham" + }, + "end": { + "lat": -7.03306, + "lon": -35.85722, + "name": "Esperança" + }, + "waypoint": { + "lat": -38.14458, + "lon": 145.12291, + "name": "Frankston" + }, + "question": "Is Frankston approximately on the direct path from Chatham to Esperança?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7545.5, + "via_waypoint_km": 30562.6, + "detour_km": 23017.1, + "detour_percent": 305.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Chatham", + " End: Esperança", + " Waypoint: Frankston", + "Step 2: Calculate direct distance", + " Start → End: 7545.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 30562.6 km", + "Step 4: Calculate detour", + " Detour = 30562.6 - 7545.5 = 23017.1 km", + " Detour % = (23017.1 / 7545.5) × 100 = 305.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 305.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 39.96578, + "lon": -75.23764, + "name": "Haddington" + }, + "end": { + "lat": 47.74318, + "lon": 18.11913, + "name": "Komárom" + }, + "waypoint": { + "lat": 50.31297, + "lon": 11.91261, + "name": "Hof" + }, + "question": "Is Hof approximately on the direct path from Haddington to Komárom?", + "ground_truth": { + "answer": true, + "direct_distance_km": 7067.7, + "via_waypoint_km": 7068.7, + "detour_km": 0.9, + "detour_percent": 0.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Haddington", + " End: Komárom", + " Waypoint: Hof", + "Step 2: Calculate direct distance", + " Start → End: 7067.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 7068.7 km", + "Step 4: Calculate detour", + " Detour = 7068.7 - 7067.7 = 0.9 km", + " Detour % = (0.9 / 7067.7) × 100 = 0.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.0% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -30.3875, + "lon": -56.45139, + "name": "Quaraí" + }, + "end": { + "lat": 51.42897, + "lon": -0.13184, + "name": "Streatham" + }, + "waypoint": { + "lat": 34.5023, + "lon": -97.95781, + "name": "Duncan" + }, + "question": "Is Duncan approximately on the direct path from Quaraí to Streatham?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10628.0, + "via_waypoint_km": 15998.0, + "detour_km": 5370.1, + "detour_percent": 50.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Quaraí", + " End: Streatham", + " Waypoint: Duncan", + "Step 2: Calculate direct distance", + " Start → End: 10628.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15998.0 km", + "Step 4: Calculate detour", + " Detour = 15998.0 - 10628.0 = 5370.1 km", + " Detour % = (5370.1 / 10628.0) × 100 = 50.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 50.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 45.27886, + "lon": -92.98522, + "name": "Forest Lake" + }, + "end": { + "lat": -38.02388, + "lon": 144.40617, + "name": "Lara" + }, + "waypoint": { + "lat": 10.25, + "lon": 37.93333, + "name": "Lumamē" + }, + "question": "Is Lumamē approximately on the direct path from Forest Lake to Lara?", + "ground_truth": { + "answer": false, + "direct_distance_km": 15281.0, + "via_waypoint_km": 24276.8, + "detour_km": 8995.7, + "detour_percent": 58.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Forest Lake", + " End: Lara", + " Waypoint: Lumamē", + "Step 2: Calculate direct distance", + " Start → End: 15281.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24276.8 km", + "Step 4: Calculate detour", + " Detour = 24276.8 - 15281.0 = 8995.7 km", + " Detour % = (8995.7 / 15281.0) × 100 = 58.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 58.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -33.8188, + "lon": 151.1062, + "name": "Ryde" + }, + "end": { + "lat": -5.22152, + "lon": 145.78695, + "name": "Madang" + }, + "waypoint": { + "lat": 41.13488, + "lon": 24.888, + "name": "Xánthi" + }, + "question": "Is Xánthi approximately on the direct path from Ryde to Madang?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3227.0, + "via_waypoint_km": 28221.8, + "detour_km": 24994.8, + "detour_percent": 774.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ryde", + " End: Madang", + " Waypoint: Xánthi", + "Step 2: Calculate direct distance", + " Start → End: 3227.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 28221.8 km", + "Step 4: Calculate detour", + " Detour = 28221.8 - 3227.0 = 24994.8 km", + " Detour % = (24994.8 / 3227.0) × 100 = 774.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 774.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 28.82306, + "lon": 30.89903, + "name": "Al Fashn" + }, + "end": { + "lat": 0.05621, + "lon": 32.47949, + "name": "Entebbe" + }, + "waypoint": { + "lat": 1.16667, + "lon": 110.56667, + "name": "Serian" + }, + "question": "Is Serian approximately on the direct path from Al Fashn to Entebbe?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3203.1, + "via_waypoint_km": 17622.1, + "detour_km": 14419.0, + "detour_percent": 450.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Al Fashn", + " End: Entebbe", + " Waypoint: Serian", + "Step 2: Calculate direct distance", + " Start → End: 3203.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17622.1 km", + "Step 4: Calculate detour", + " Detour = 17622.1 - 3203.1 = 14419.0 km", + " Detour % = (14419.0 / 3203.1) × 100 = 450.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 450.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -4.56667, + "lon": 34.63333, + "name": "Igugunu" + }, + "end": { + "lat": -13.60234, + "lon": -39.49241, + "name": "Teolândia" + }, + "waypoint": { + "lat": 28.24574, + "lon": 69.17974, + "name": "Kandhkot" + }, + "question": "Is Kandhkot approximately on the direct path from Igugunu to Teolândia?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8174.7, + "via_waypoint_km": 17723.0, + "detour_km": 9548.3, + "detour_percent": 116.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Igugunu", + " End: Teolândia", + " Waypoint: Kandhkot", + "Step 2: Calculate direct distance", + " Start → End: 8174.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17723.0 km", + "Step 4: Calculate detour", + " Detour = 17723.0 - 8174.7 = 9548.3 km", + " Detour % = (9548.3 / 8174.7) × 100 = 116.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 116.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.61872, + "lon": -74.0332, + "name": "Fort Hamilton" + }, + "end": { + "lat": 7.67344, + "lon": 36.83441, + "name": "Jimma" + }, + "waypoint": { + "lat": 22.36613, + "lon": 114.13982, + "name": "Shek Lei" + }, + "question": "Is Shek Lei approximately on the direct path from Fort Hamilton to Jimma?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11167.3, + "via_waypoint_km": 21343.8, + "detour_km": 10176.5, + "detour_percent": 91.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Fort Hamilton", + " End: Jimma", + " Waypoint: Shek Lei", + "Step 2: Calculate direct distance", + " Start → End: 11167.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21343.8 km", + "Step 4: Calculate detour", + " Detour = 21343.8 - 11167.3 = 10176.5 km", + " Detour % = (10176.5 / 11167.3) × 100 = 91.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 91.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 10.21187, + "lon": 11.3871, + "name": "Deba" + }, + "end": { + "lat": 13.46729, + "lon": 14.71352, + "name": "Bol" + }, + "waypoint": { + "lat": 7.2, + "lon": 35.45, + "name": "Tēpī" + }, + "question": "Is Tēpī approximately on the direct path from Deba to Bol?", + "ground_truth": { + "answer": false, + "direct_distance_km": 511.9, + "via_waypoint_km": 5036.6, + "detour_km": 4524.7, + "detour_percent": 883.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Deba", + " End: Bol", + " Waypoint: Tēpī", + "Step 2: Calculate direct distance", + " Start → End: 511.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 5036.6 km", + "Step 4: Calculate detour", + " Detour = 5036.6 - 511.9 = 4524.7 km", + " Detour % = (4524.7 / 511.9) × 100 = 883.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 883.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -22.59861, + "lon": -48.80028, + "name": "Lençóis Paulista" + }, + "end": { + "lat": -33.89058, + "lon": 19.10328, + "name": "Le Roux" + }, + "waypoint": { + "lat": 7.13113, + "lon": -3.20415, + "name": "Agnibilékrou" + }, + "question": "Is Agnibilékrou approximately on the direct path from Lençóis Paulista to Le Roux?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6652.9, + "via_waypoint_km": 11092.4, + "detour_km": 4439.5, + "detour_percent": 66.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Lençóis Paulista", + " End: Le Roux", + " Waypoint: Agnibilékrou", + "Step 2: Calculate direct distance", + " Start → End: 6652.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11092.4 km", + "Step 4: Calculate detour", + " Detour = 11092.4 - 6652.9 = 4439.5 km", + " Detour % = (4439.5 / 6652.9) × 100 = 66.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 66.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 49.88307, + "lon": -119.48568, + "name": "Kelowna" + }, + "end": { + "lat": 41.77503, + "lon": -87.69644, + "name": "Chicago Lawn" + }, + "waypoint": { + "lat": 33.77033, + "lon": 74.09254, + "name": "Pūnch" + }, + "question": "Is Pūnch approximately on the direct path from Kelowna to Chicago Lawn?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2599.3, + "via_waypoint_km": 22028.7, + "detour_km": 19429.4, + "detour_percent": 747.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kelowna", + " End: Chicago Lawn", + " Waypoint: Pūnch", + "Step 2: Calculate direct distance", + " Start → End: 2599.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22028.7 km", + "Step 4: Calculate detour", + " Detour = 22028.7 - 2599.3 = 19429.4 km", + " Detour % = (19429.4 / 2599.3) × 100 = 747.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 747.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 4.46916, + "lon": 101.04107, + "name": "Batu Gajah" + }, + "end": { + "lat": 6.72556, + "lon": 11.25652, + "name": "Gembu" + }, + "waypoint": { + "lat": 41.35805, + "lon": -93.55744, + "name": "Indianola" + }, + "question": "Is Indianola approximately on the direct path from Batu Gajah to Gembu?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9925.7, + "via_waypoint_km": 25438.4, + "detour_km": 15512.8, + "detour_percent": 156.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Batu Gajah", + " End: Gembu", + " Waypoint: Indianola", + "Step 2: Calculate direct distance", + " Start → End: 9925.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25438.4 km", + "Step 4: Calculate detour", + " Detour = 25438.4 - 9925.7 = 15512.8 km", + " Detour % = (15512.8 / 9925.7) × 100 = 156.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 156.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -3.86261, + "lon": 39.47458, + "name": "Mariakani" + }, + "end": { + "lat": 23.36085, + "lon": 103.15372, + "name": "Gejiu" + }, + "waypoint": { + "lat": 44.49381, + "lon": 11.33875, + "name": "Bologna" + }, + "question": "Is Bologna approximately on the direct path from Mariakani to Gejiu?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7528.2, + "via_waypoint_km": 14413.1, + "detour_km": 6885.0, + "detour_percent": 91.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mariakani", + " End: Gejiu", + " Waypoint: Bologna", + "Step 2: Calculate direct distance", + " Start → End: 7528.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14413.1 km", + "Step 4: Calculate detour", + " Detour = 14413.1 - 7528.2 = 6885.0 km", + " Detour % = (6885.0 / 7528.2) × 100 = 91.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 91.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 33.59993, + "lon": 130.81495, + "name": "Kawasaki" + }, + "end": { + "lat": 38.98223, + "lon": -94.67079, + "name": "Overland Park" + }, + "waypoint": { + "lat": -1.85302, + "lon": -65.57426, + "name": "Maraã" + }, + "question": "Is Maraã approximately on the direct path from Kawasaki to Overland Park?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10682.9, + "via_waypoint_km": 21522.0, + "detour_km": 10839.2, + "detour_percent": 101.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kawasaki", + " End: Overland Park", + " Waypoint: Maraã", + "Step 2: Calculate direct distance", + " Start → End: 10682.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21522.0 km", + "Step 4: Calculate detour", + " Detour = 21522.0 - 10682.9 = 10839.2 km", + " Detour % = (10839.2 / 10682.9) × 100 = 101.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 101.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.40547, + "lon": 19.70321, + "name": "Piotrków Trybunalski" + }, + "end": { + "lat": 51.41505, + "lon": -0.0927, + "name": "Upper Norwood" + }, + "waypoint": { + "lat": 44.64969, + "lon": -93.24272, + "name": "Lakeville" + }, + "question": "Is Lakeville approximately on the direct path from Piotrków Trybunalski to Upper Norwood?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1368.8, + "via_waypoint_km": 14036.4, + "detour_km": 12667.6, + "detour_percent": 925.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Piotrków Trybunalski", + " End: Upper Norwood", + " Waypoint: Lakeville", + "Step 2: Calculate direct distance", + " Start → End: 1368.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14036.4 km", + "Step 4: Calculate detour", + " Detour = 14036.4 - 1368.8 = 12667.6 km", + " Detour % = (12667.6 / 1368.8) × 100 = 925.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 925.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 28.8963, + "lon": 106.66835, + "name": "Zhuantang" + }, + "end": { + "lat": 16.53083, + "lon": 120.33306, + "name": "Bauang" + }, + "waypoint": { + "lat": 34.83475, + "lon": 134.57803, + "name": "Ikaruga" + }, + "question": "Is Ikaruga approximately on the direct path from Zhuantang to Bauang?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1960.1, + "via_waypoint_km": 5187.2, + "detour_km": 3227.1, + "detour_percent": 164.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Zhuantang", + " End: Bauang", + " Waypoint: Ikaruga", + "Step 2: Calculate direct distance", + " Start → End: 1960.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 5187.2 km", + "Step 4: Calculate detour", + " Detour = 5187.2 - 1960.1 = 3227.1 km", + " Detour % = (3227.1 / 1960.1) × 100 = 164.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 164.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 11.41667, + "lon": 37.16667, + "name": "Mer’āwī" + }, + "end": { + "lat": 17.49326, + "lon": 44.12766, + "name": "Najrān" + }, + "waypoint": { + "lat": 50.75104, + "lon": 33.47471, + "name": "Romny" + }, + "question": "Is Romny approximately on the direct path from Mer’āwī to Najrān?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1008.8, + "via_waypoint_km": 8203.9, + "detour_km": 7195.1, + "detour_percent": 713.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mer’āwī", + " End: Najrān", + " Waypoint: Romny", + "Step 2: Calculate direct distance", + " Start → End: 1008.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 8203.9 km", + "Step 4: Calculate detour", + " Detour = 8203.9 - 1008.8 = 7195.1 km", + " Detour % = (7195.1 / 1008.8) × 100 = 713.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 713.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 11.35314, + "lon": 77.71253, + "name": "Vīrappanchathiram" + }, + "end": { + "lat": 2.6831, + "lon": 101.97, + "name": "Taman Seremban Jaya" + }, + "waypoint": { + "lat": 24.21641, + "lon": 83.0358, + "name": "Renukūt" + }, + "question": "Is Renukūt approximately on the direct path from Vīrappanchathiram to Taman Seremban Jaya?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2842.6, + "via_waypoint_km": 4677.8, + "detour_km": 1835.2, + "detour_percent": 64.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Vīrappanchathiram", + " End: Taman Seremban Jaya", + " Waypoint: Renukūt", + "Step 2: Calculate direct distance", + " Start → End: 2842.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 4677.8 km", + "Step 4: Calculate detour", + " Detour = 4677.8 - 2842.6 = 1835.2 km", + " Detour % = (1835.2 / 2842.6) × 100 = 64.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 64.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 53.21583, + "lon": -6.66694, + "name": "Naas" + }, + "end": { + "lat": 44.41134, + "lon": 126.94827, + "name": "Shulan" + }, + "waypoint": { + "lat": 36.85361, + "lon": 119.39083, + "name": "Changyi" + }, + "question": "Is Changyi approximately on the direct path from Naas to Shulan?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8296.1, + "via_waypoint_km": 9789.5, + "detour_km": 1493.4, + "detour_percent": 18.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Naas", + " End: Shulan", + " Waypoint: Changyi", + "Step 2: Calculate direct distance", + " Start → End: 8296.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9789.5 km", + "Step 4: Calculate detour", + " Detour = 9789.5 - 8296.1 = 1493.4 km", + " Detour % = (1493.4 / 8296.1) × 100 = 18.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 18.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 13.3528, + "lon": 123.3677, + "name": "Bato" + }, + "end": { + "lat": 17.51046, + "lon": 75.44713, + "name": "Mangalvedha" + }, + "waypoint": { + "lat": 16.4821, + "lon": 78.32471, + "name": "Nāgar Karnūl" + }, + "question": "Is Nāgar Karnūl approximately on the direct path from Bato to Mangalvedha?", + "ground_truth": { + "answer": true, + "direct_distance_km": 5144.5, + "via_waypoint_km": 5169.4, + "detour_km": 24.9, + "detour_percent": 0.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bato", + " End: Mangalvedha", + " Waypoint: Nāgar Karnūl", + "Step 2: Calculate direct distance", + " Start → End: 5144.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 5169.4 km", + "Step 4: Calculate detour", + " Detour = 5169.4 - 5144.5 = 24.9 km", + " Detour % = (24.9 / 5144.5) × 100 = 0.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.5% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 32.7668, + "lon": -96.59916, + "name": "Mesquite" + }, + "end": { + "lat": 7.5758, + "lon": -2.78516, + "name": "Japekrom" + }, + "waypoint": { + "lat": 31.89306, + "lon": 72.38167, + "name": "Mangla" + }, + "question": "Is Mangla approximately on the direct path from Mesquite to Japekrom?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9906.2, + "via_waypoint_km": 20898.3, + "detour_km": 10992.1, + "detour_percent": 111.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mesquite", + " End: Japekrom", + " Waypoint: Mangla", + "Step 2: Calculate direct distance", + " Start → End: 9906.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20898.3 km", + "Step 4: Calculate detour", + " Detour = 20898.3 - 9906.2 = 10992.1 km", + " Detour % = (10992.1 / 9906.2) × 100 = 111.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 111.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 30.0933, + "lon": -81.71898, + "name": "Fleming Island" + }, + "end": { + "lat": -23.11, + "lon": -50.3675, + "name": "Bandeirantes" + }, + "waypoint": { + "lat": 10.91762, + "lon": 15.55011, + "name": "Guelendeng" + }, + "question": "Is Guelendeng approximately on the direct path from Fleming Island to Bandeirantes?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6797.6, + "via_waypoint_km": 18192.6, + "detour_km": 11395.0, + "detour_percent": 167.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Fleming Island", + " End: Bandeirantes", + " Waypoint: Guelendeng", + "Step 2: Calculate direct distance", + " Start → End: 6797.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18192.6 km", + "Step 4: Calculate detour", + " Detour = 18192.6 - 6797.6 = 11395.0 km", + " Detour % = (11395.0 / 6797.6) × 100 = 167.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 167.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 30.3586, + "lon": 50.7981, + "name": "Dogonbadan" + }, + "end": { + "lat": 36.17424, + "lon": 8.70486, + "name": "El Kef" + }, + "waypoint": { + "lat": 19.11136, + "lon": -72.70078, + "name": "Saint-Marc" + }, + "question": "Is Saint-Marc approximately on the direct path from Dogonbadan to El Kef?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3935.7, + "via_waypoint_km": 19863.6, + "detour_km": 15927.9, + "detour_percent": 404.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Dogonbadan", + " End: El Kef", + " Waypoint: Saint-Marc", + "Step 2: Calculate direct distance", + " Start → End: 3935.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19863.6 km", + "Step 4: Calculate detour", + " Detour = 19863.6 - 3935.7 = 15927.9 km", + " Detour % = (15927.9 / 3935.7) × 100 = 404.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 404.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -37.74981, + "lon": 144.9109, + "name": "Essendon" + }, + "end": { + "lat": 55.81904, + "lon": 37.32984, + "name": "Krasnogorsk" + }, + "waypoint": { + "lat": 45.44979, + "lon": -73.6015, + "name": "Ville-Émard" + }, + "question": "Is Ville-Émard approximately on the direct path from Essendon to Krasnogorsk?", + "ground_truth": { + "answer": false, + "direct_distance_km": 14437.5, + "via_waypoint_km": 23777.2, + "detour_km": 9339.6, + "detour_percent": 64.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Essendon", + " End: Krasnogorsk", + " Waypoint: Ville-Émard", + "Step 2: Calculate direct distance", + " Start → End: 14437.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23777.2 km", + "Step 4: Calculate detour", + " Detour = 23777.2 - 14437.5 = 9339.6 km", + " Detour % = (9339.6 / 14437.5) × 100 = 64.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 64.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 34.74512, + "lon": 5.89833, + "name": "Sidi Okba" + }, + "end": { + "lat": 19.33159, + "lon": 79.46605, + "name": "Kagaznāgār" + }, + "waypoint": { + "lat": 10.08621, + "lon": -67.91982, + "name": "Tacarigua" + }, + "question": "Is Tacarigua approximately on the direct path from Sidi Okba to Kagaznāgār?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7330.0, + "via_waypoint_km": 23067.5, + "detour_km": 15737.5, + "detour_percent": 214.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sidi Okba", + " End: Kagaznāgār", + " Waypoint: Tacarigua", + "Step 2: Calculate direct distance", + " Start → End: 7330.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23067.5 km", + "Step 4: Calculate detour", + " Detour = 23067.5 - 7330.0 = 15737.5 km", + " Detour % = (15737.5 / 7330.0) × 100 = 214.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 214.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -37.91806, + "lon": 145.03544, + "name": "Bentleigh" + }, + "end": { + "lat": 51.34675, + "lon": -0.78655, + "name": "Sandhurst" + }, + "waypoint": { + "lat": 25.27987, + "lon": 51.54037, + "name": "Al Ghānim" + }, + "question": "Is Al Ghānim approximately on the direct path from Bentleigh to Sandhurst?", + "ground_truth": { + "answer": true, + "direct_distance_km": 16964.8, + "via_waypoint_km": 17243.4, + "detour_km": 278.6, + "detour_percent": 1.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bentleigh", + " End: Sandhurst", + " Waypoint: Al Ghānim", + "Step 2: Calculate direct distance", + " Start → End: 16964.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17243.4 km", + "Step 4: Calculate detour", + " Detour = 17243.4 - 16964.8 = 278.6 km", + " Detour % = (278.6 / 16964.8) × 100 = 1.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1.6% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 39.62839, + "lon": -84.15938, + "name": "Centerville" + }, + "end": { + "lat": 23.40576, + "lon": 88.49073, + "name": "Krishnanagar" + }, + "waypoint": { + "lat": 52.2, + "lon": 8.63333, + "name": "Kirchlengern" + }, + "question": "Is Kirchlengern approximately on the direct path from Centerville to Krishnanagar?", + "ground_truth": { + "answer": true, + "direct_distance_km": 12964.6, + "via_waypoint_km": 14106.5, + "detour_km": 1141.9, + "detour_percent": 8.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Centerville", + " End: Krishnanagar", + " Waypoint: Kirchlengern", + "Step 2: Calculate direct distance", + " Start → End: 12964.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14106.5 km", + "Step 4: Calculate detour", + " Detour = 14106.5 - 12964.6 = 1141.9 km", + " Detour % = (1141.9 / 12964.6) × 100 = 8.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 8.8% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.58972, + "lon": 2.44889, + "name": "Tipasa" + }, + "end": { + "lat": 13.56907, + "lon": 33.56718, + "name": "Sinnar" + }, + "waypoint": { + "lat": 28.77404, + "lon": 77.16308, + "name": "Kādīpur" + }, + "question": "Is Kādīpur approximately on the direct path from Tipasa to Sinnar?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4013.5, + "via_waypoint_km": 11666.3, + "detour_km": 7652.8, + "detour_percent": 190.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tipasa", + " End: Sinnar", + " Waypoint: Kādīpur", + "Step 2: Calculate direct distance", + " Start → End: 4013.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11666.3 km", + "Step 4: Calculate detour", + " Detour = 11666.3 - 4013.5 = 7652.8 km", + " Detour % = (7652.8 / 4013.5) × 100 = 190.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 190.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 48.95264, + "lon": 2.14521, + "name": "Maisons-Laffitte" + }, + "end": { + "lat": 63.096, + "lon": 21.61577, + "name": "Vaasa" + }, + "waypoint": { + "lat": -27.05056, + "lon": -49.62278, + "name": "Presidente Getúlio" + }, + "question": "Is Presidente Getúlio approximately on the direct path from Maisons-Laffitte to Vaasa?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1967.5, + "via_waypoint_km": 21675.5, + "detour_km": 19708.0, + "detour_percent": 1001.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Maisons-Laffitte", + " End: Vaasa", + " Waypoint: Presidente Getúlio", + "Step 2: Calculate direct distance", + " Start → End: 1967.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21675.5 km", + "Step 4: Calculate detour", + " Detour = 21675.5 - 1967.5 = 19708.0 km", + " Detour % = (19708.0 / 1967.5) × 100 = 1001.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1001.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 41.25632, + "lon": 13.60888, + "name": "Formia" + }, + "end": { + "lat": 49.47783, + "lon": 20.03228, + "name": "Nowy Targ" + }, + "waypoint": { + "lat": 29.86864, + "lon": 107.73027, + "name": "Sanhe" + }, + "question": "Is Sanhe approximately on the direct path from Formia to Nowy Targ?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1041.9, + "via_waypoint_km": 15566.6, + "detour_km": 14524.7, + "detour_percent": 1394.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Formia", + " End: Nowy Targ", + " Waypoint: Sanhe", + "Step 2: Calculate direct distance", + " Start → End: 1041.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15566.6 km", + "Step 4: Calculate detour", + " Detour = 15566.6 - 1041.9 = 14524.7 km", + " Detour % = (14524.7 / 1041.9) × 100 = 1394.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1394.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 14.78333, + "lon": -16.96667, + "name": "Thiès Nones" + }, + "end": { + "lat": 33.7481, + "lon": 45.55503, + "name": "Mandalī" + }, + "waypoint": { + "lat": -27.91421, + "lon": -55.75355, + "name": "Apóstoles" + }, + "question": "Is Apóstoles approximately on the direct path from Thiès Nones to Mandalī?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6577.8, + "via_waypoint_km": 18981.9, + "detour_km": 12404.2, + "detour_percent": 188.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Thiès Nones", + " End: Mandalī", + " Waypoint: Apóstoles", + "Step 2: Calculate direct distance", + " Start → End: 6577.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18981.9 km", + "Step 4: Calculate detour", + " Detour = 18981.9 - 6577.8 = 12404.2 km", + " Detour % = (12404.2 / 6577.8) × 100 = 188.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 188.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.31539, + "lon": -74.24626, + "name": "Marlboro" + }, + "end": { + "lat": 9.9146, + "lon": 15.1399, + "name": "Fianga" + }, + "waypoint": { + "lat": -3.56667, + "lon": 36.95, + "name": "Mbuguni" + }, + "question": "Is Mbuguni approximately on the direct path from Marlboro to Fianga?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9244.7, + "via_waypoint_km": 14895.0, + "detour_km": 5650.2, + "detour_percent": 61.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Marlboro", + " End: Fianga", + " Waypoint: Mbuguni", + "Step 2: Calculate direct distance", + " Start → End: 9244.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14895.0 km", + "Step 4: Calculate detour", + " Detour = 14895.0 - 9244.7 = 5650.2 km", + " Detour % = (5650.2 / 9244.7) × 100 = 61.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 61.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.89788, + "lon": -73.85236, + "name": "Wakefield" + }, + "end": { + "lat": 4.85165, + "lon": 31.58247, + "name": "Juba" + }, + "waypoint": { + "lat": -3.56182, + "lon": 36.97895, + "name": "Merelani" + }, + "question": "Is Merelani approximately on the direct path from Wakefield to Juba?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10935.1, + "via_waypoint_km": 13119.8, + "detour_km": 2184.7, + "detour_percent": 20.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Wakefield", + " End: Juba", + " Waypoint: Merelani", + "Step 2: Calculate direct distance", + " Start → End: 10935.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13119.8 km", + "Step 4: Calculate detour", + " Detour = 13119.8 - 10935.1 = 2184.7 km", + " Detour % = (2184.7 / 10935.1) × 100 = 20.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 20.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 50.78816, + "lon": 36.47751, + "name": "Stroitel" + }, + "end": { + "lat": 36.31409, + "lon": 140.58389, + "name": "Ōarai" + }, + "waypoint": { + "lat": -9.97472, + "lon": -67.81, + "name": "Rio Branco" + }, + "question": "Is Rio Branco approximately on the direct path from Stroitel to Ōarai?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7833.2, + "via_waypoint_km": 27790.8, + "detour_km": 19957.6, + "detour_percent": 254.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Stroitel", + " End: Ōarai", + " Waypoint: Rio Branco", + "Step 2: Calculate direct distance", + " Start → End: 7833.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27790.8 km", + "Step 4: Calculate detour", + " Detour = 27790.8 - 7833.2 = 19957.6 km", + " Detour % = (19957.6 / 7833.2) × 100 = 254.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 254.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -7.54595, + "lon": 112.23307, + "name": "Jombang" + }, + "end": { + "lat": -25.36861, + "lon": -49.45139, + "name": "Campo Magro" + }, + "waypoint": { + "lat": 36.59511, + "lon": -82.18874, + "name": "Bristol" + }, + "question": "Is Bristol approximately on the direct path from Jombang to Campo Magro?", + "ground_truth": { + "answer": false, + "direct_distance_km": 15853.1, + "via_waypoint_km": 24166.6, + "detour_km": 8313.4, + "detour_percent": 52.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Jombang", + " End: Campo Magro", + " Waypoint: Bristol", + "Step 2: Calculate direct distance", + " Start → End: 15853.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24166.6 km", + "Step 4: Calculate detour", + " Detour = 24166.6 - 15853.1 = 8313.4 km", + " Detour % = (8313.4 / 15853.1) × 100 = 52.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 52.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -7.94083, + "lon": -34.87306, + "name": "Paulista" + }, + "end": { + "lat": 50.02207, + "lon": 36.34901, + "name": "Saltivka" + }, + "waypoint": { + "lat": 33.55869, + "lon": 36.36515, + "name": "Ḩarastā" + }, + "question": "Is Ḩarastā approximately on the direct path from Paulista to Saltivka?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9376.0, + "via_waypoint_km": 10626.2, + "detour_km": 1250.3, + "detour_percent": 13.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Paulista", + " End: Saltivka", + " Waypoint: Ḩarastā", + "Step 2: Calculate direct distance", + " Start → End: 9376.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10626.2 km", + "Step 4: Calculate detour", + " Detour = 10626.2 - 9376.0 = 1250.3 km", + " Detour % = (1250.3 / 9376.0) × 100 = 13.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 13.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.83763, + "lon": 6.64018, + "name": "Tamalous" + }, + "end": { + "lat": 55.65, + "lon": 37.61667, + "name": "Nagornyy" + }, + "waypoint": { + "lat": 21.64673, + "lon": 110.28172, + "name": "Lianjiang" + }, + "question": "Is Lianjiang approximately on the direct path from Tamalous to Nagornyy?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3123.9, + "via_waypoint_km": 16672.5, + "detour_km": 13548.6, + "detour_percent": 433.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tamalous", + " End: Nagornyy", + " Waypoint: Lianjiang", + "Step 2: Calculate direct distance", + " Start → End: 3123.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16672.5 km", + "Step 4: Calculate detour", + " Detour = 16672.5 - 3123.9 = 13548.6 km", + " Detour % = (13548.6 / 3123.9) × 100 = 433.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 433.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 1.71464, + "lon": 33.61113, + "name": "Soroti" + }, + "end": { + "lat": 47.75, + "lon": 26.66667, + "name": "Botoşani" + }, + "waypoint": { + "lat": -7.25972, + "lon": -34.9075, + "name": "Conde" + }, + "question": "Is Conde approximately on the direct path from Soroti to Botoşani?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5162.4, + "via_waypoint_km": 16234.5, + "detour_km": 11072.1, + "detour_percent": 214.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Soroti", + " End: Botoşani", + " Waypoint: Conde", + "Step 2: Calculate direct distance", + " Start → End: 5162.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16234.5 km", + "Step 4: Calculate detour", + " Detour = 16234.5 - 5162.4 = 11072.1 km", + " Detour % = (11072.1 / 5162.4) × 100 = 214.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 214.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.20389, + "lon": 127.08472, + "name": "Nonsan" + }, + "end": { + "lat": 3.14165, + "lon": 101.59089, + "name": "Tropicana Indah" + }, + "waypoint": { + "lat": 53.04664, + "lon": -2.99132, + "name": "Wrexham" + }, + "question": "Is Wrexham approximately on the direct path from Nonsan to Tropicana Indah?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4511.0, + "via_waypoint_km": 19678.3, + "detour_km": 15167.3, + "detour_percent": 336.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Nonsan", + " End: Tropicana Indah", + " Waypoint: Wrexham", + "Step 2: Calculate direct distance", + " Start → End: 4511.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19678.3 km", + "Step 4: Calculate detour", + " Detour = 19678.3 - 4511.0 = 15167.3 km", + " Detour % = (15167.3 / 4511.0) × 100 = 336.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 336.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -11.74611, + "lon": -44.91, + "name": "Riachão das Neves" + }, + "end": { + "lat": 9.03333, + "lon": 38.4, + "name": "Ādīs ‘Alem" + }, + "waypoint": { + "lat": 50.1813, + "lon": 12.6401, + "name": "Sokolov" + }, + "question": "Is Sokolov approximately on the direct path from Riachão das Neves to Ādīs ‘Alem?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9493.0, + "via_waypoint_km": 14008.9, + "detour_km": 4515.9, + "detour_percent": 47.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Riachão das Neves", + " End: Ādīs ‘Alem", + " Waypoint: Sokolov", + "Step 2: Calculate direct distance", + " Start → End: 9493.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14008.9 km", + "Step 4: Calculate detour", + " Detour = 14008.9 - 9493.0 = 4515.9 km", + " Detour % = (4515.9 / 9493.0) × 100 = 47.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 47.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 25.56528, + "lon": 85.05599, + "name": "Nohsa" + }, + "end": { + "lat": 16.33354, + "lon": 75.28305, + "name": "Mudhol" + }, + "waypoint": { + "lat": -5.95, + "lon": 34.13333, + "name": "Mgandu" + }, + "question": "Is Mgandu approximately on the direct path from Nohsa to Mudhol?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1442.3, + "via_waypoint_km": 11677.2, + "detour_km": 10234.9, + "detour_percent": 709.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Nohsa", + " End: Mudhol", + " Waypoint: Mgandu", + "Step 2: Calculate direct distance", + " Start → End: 1442.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11677.2 km", + "Step 4: Calculate detour", + " Detour = 11677.2 - 1442.3 = 10234.9 km", + " Detour % = (10234.9 / 1442.3) × 100 = 709.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 709.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -33.9205, + "lon": 151.25522, + "name": "Coogee" + }, + "end": { + "lat": -1.36553, + "lon": -79.90507, + "name": "Balzar" + }, + "waypoint": { + "lat": -24.11335, + "lon": -49.46315, + "name": "Sengés" + }, + "question": "Is Sengés approximately on the direct path from Coogee to Balzar?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13394.8, + "via_waypoint_km": 17338.0, + "detour_km": 3943.2, + "detour_percent": 29.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Coogee", + " End: Balzar", + " Waypoint: Sengés", + "Step 2: Calculate direct distance", + " Start → End: 13394.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17338.0 km", + "Step 4: Calculate detour", + " Detour = 17338.0 - 13394.8 = 3943.2 km", + " Detour % = (3943.2 / 13394.8) × 100 = 29.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 29.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 33.03333, + "lon": 130.45, + "name": "Ōmuta" + }, + "end": { + "lat": -37.75, + "lon": 145.01667, + "name": "Preston" + }, + "waypoint": { + "lat": 41.84447, + "lon": -90.18874, + "name": "Clinton" + }, + "question": "Is Clinton approximately on the direct path from Ōmuta to Preston?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8014.0, + "via_waypoint_km": 26069.6, + "detour_km": 18055.7, + "detour_percent": 225.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ōmuta", + " End: Preston", + " Waypoint: Clinton", + "Step 2: Calculate direct distance", + " Start → End: 8014.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26069.6 km", + "Step 4: Calculate detour", + " Detour = 26069.6 - 8014.0 = 18055.7 km", + " Detour % = (18055.7 / 8014.0) × 100 = 225.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 225.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -41.28374, + "lon": 174.74141, + "name": "Karori" + }, + "end": { + "lat": 11.15, + "lon": 106.6, + "name": "Bến Cát" + }, + "waypoint": { + "lat": 32.24088, + "lon": -7.95397, + "name": "Ben Guerir" + }, + "question": "Is Ben Guerir approximately on the direct path from Karori to Bến Cát?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9068.2, + "via_waypoint_km": 30544.1, + "detour_km": 21475.9, + "detour_percent": 236.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Karori", + " End: Bến Cát", + " Waypoint: Ben Guerir", + "Step 2: Calculate direct distance", + " Start → End: 9068.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 30544.1 km", + "Step 4: Calculate detour", + " Detour = 30544.1 - 9068.2 = 21475.9 km", + " Detour % = (21475.9 / 9068.2) × 100 = 236.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 236.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 9.06667, + "lon": 38.5, + "name": "Genet" + }, + "end": { + "lat": 40.3875, + "lon": 36.08111, + "name": "Turhal" + }, + "waypoint": { + "lat": -6.75639, + "lon": -43.02417, + "name": "Barão de Grajaú" + }, + "question": "Is Barão de Grajaú approximately on the direct path from Genet to Turhal?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3490.9, + "via_waypoint_km": 18784.7, + "detour_km": 15293.8, + "detour_percent": 438.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Genet", + " End: Turhal", + " Waypoint: Barão de Grajaú", + "Step 2: Calculate direct distance", + " Start → End: 3490.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18784.7 km", + "Step 4: Calculate detour", + " Detour = 18784.7 - 3490.9 = 15293.8 km", + " Detour % = (15293.8 / 3490.9) × 100 = 438.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 438.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 53.00974, + "lon": -3.05814, + "name": "Rhosllannerchrugog" + }, + "end": { + "lat": -13.53806, + "lon": -39.09861, + "name": "Taperoá" + }, + "waypoint": { + "lat": 34.74488, + "lon": 8.06024, + "name": "Bir el Ater" + }, + "question": "Is Bir el Ater approximately on the direct path from Rhosllannerchrugog to Taperoá?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8159.5, + "via_waypoint_km": 9529.4, + "detour_km": 1369.9, + "detour_percent": 16.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Rhosllannerchrugog", + " End: Taperoá", + " Waypoint: Bir el Ater", + "Step 2: Calculate direct distance", + " Start → End: 8159.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9529.4 km", + "Step 4: Calculate detour", + " Detour = 9529.4 - 8159.5 = 1369.9 km", + " Detour % = (1369.9 / 8159.5) × 100 = 16.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 16.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 14.81154, + "lon": -91.45536, + "name": "Cantel" + }, + "end": { + "lat": 41.47978, + "lon": 2.3188, + "name": "El Masnou" + }, + "waypoint": { + "lat": 5.4709, + "lon": 100.24529, + "name": "Batu Feringgi" + }, + "question": "Is Batu Feringgi approximately on the direct path from Cantel to El Masnou?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9230.6, + "via_waypoint_km": 27677.5, + "detour_km": 18446.9, + "detour_percent": 199.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Cantel", + " End: El Masnou", + " Waypoint: Batu Feringgi", + "Step 2: Calculate direct distance", + " Start → End: 9230.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27677.5 km", + "Step 4: Calculate detour", + " Detour = 27677.5 - 9230.6 = 18446.9 km", + " Detour % = (18446.9 / 9230.6) × 100 = 199.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 199.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -3.92361, + "lon": 138.45472, + "name": "Tiom" + }, + "end": { + "lat": 40.71649, + "lon": -73.32179, + "name": "North Babylon" + }, + "waypoint": { + "lat": -6.22149, + "lon": 23.39254, + "name": "Miabi" + }, + "question": "Is Miabi approximately on the direct path from Tiom to North Babylon?", + "ground_truth": { + "answer": false, + "direct_distance_km": 14836.7, + "via_waypoint_km": 23741.4, + "detour_km": 8904.7, + "detour_percent": 60.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tiom", + " End: North Babylon", + " Waypoint: Miabi", + "Step 2: Calculate direct distance", + " Start → End: 14836.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23741.4 km", + "Step 4: Calculate detour", + " Detour = 23741.4 - 14836.7 = 8904.7 km", + " Detour % = (8904.7 / 14836.7) × 100 = 60.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 60.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 38.39917, + "lon": 125.61556, + "name": "Chaeryŏng-ŭp" + }, + "end": { + "lat": -27.87683, + "lon": 153.28572, + "name": "Upper Coomera" + }, + "waypoint": { + "lat": -28.71167, + "lon": -51.935, + "name": "Serafina Corrêa" + }, + "question": "Is Serafina Corrêa approximately on the direct path from Chaeryŏng-ŭp to Upper Coomera?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7911.4, + "via_waypoint_km": 32088.0, + "detour_km": 24176.5, + "detour_percent": 305.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Chaeryŏng-ŭp", + " End: Upper Coomera", + " Waypoint: Serafina Corrêa", + "Step 2: Calculate direct distance", + " Start → End: 7911.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 32088.0 km", + "Step 4: Calculate detour", + " Detour = 32088.0 - 7911.4 = 24176.5 km", + " Detour % = (24176.5 / 7911.4) × 100 = 305.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 305.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 6.04089, + "lon": -0.45004, + "name": "Suhum" + }, + "end": { + "lat": -5.72651, + "lon": 39.2987, + "name": "Nungwi" + }, + "waypoint": { + "lat": 26.98427, + "lon": 94.63784, + "name": "Sibsāgar" + }, + "question": "Is Sibsāgar approximately on the direct path from Suhum to Nungwi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4601.9, + "via_waypoint_km": 17173.5, + "detour_km": 12571.5, + "detour_percent": 273.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Suhum", + " End: Nungwi", + " Waypoint: Sibsāgar", + "Step 2: Calculate direct distance", + " Start → End: 4601.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17173.5 km", + "Step 4: Calculate detour", + " Detour = 17173.5 - 4601.9 = 12571.5 km", + " Detour % = (12571.5 / 4601.9) × 100 = 273.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 273.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 28.81284, + "lon": 70.52341, + "name": "Zahir Pir" + }, + "end": { + "lat": -0.07444, + "lon": 30.78528, + "name": "Kazo" + }, + "waypoint": { + "lat": 26.33721, + "lon": 31.89295, + "name": "Girga" + }, + "question": "Is Girga approximately on the direct path from Zahir Pir to Kazo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5302.8, + "via_waypoint_km": 6740.2, + "detour_km": 1437.4, + "detour_percent": 27.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Zahir Pir", + " End: Kazo", + " Waypoint: Girga", + "Step 2: Calculate direct distance", + " Start → End: 5302.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 6740.2 km", + "Step 4: Calculate detour", + " Detour = 6740.2 - 5302.8 = 1437.4 km", + " Detour % = (1437.4 / 5302.8) × 100 = 27.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 27.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 28.56528, + "lon": -81.58618, + "name": "Winter Garden" + }, + "end": { + "lat": 26.79404, + "lon": -80.26749, + "name": "The Acreage" + }, + "waypoint": { + "lat": 26.5503, + "lon": 84.6801, + "name": "Areraj" + }, + "question": "Is Areraj approximately on the direct path from Winter Garden to The Acreage?", + "ground_truth": { + "answer": false, + "direct_distance_km": 235.9, + "via_waypoint_km": 27582.2, + "detour_km": 27346.3, + "detour_percent": 11592.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Winter Garden", + " End: The Acreage", + " Waypoint: Areraj", + "Step 2: Calculate direct distance", + " Start → End: 235.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27582.2 km", + "Step 4: Calculate detour", + " Detour = 27582.2 - 235.9 = 27346.3 km", + " Detour % = (27346.3 / 235.9) × 100 = 11592.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 11592.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 30.78783, + "lon": 75.47391, + "name": "Jagraon" + }, + "end": { + "lat": 10.29085, + "lon": 105.75635, + "name": "Sa Dec" + }, + "waypoint": { + "lat": 50.45466, + "lon": 30.5238, + "name": "Kyiv" + }, + "question": "Is Kyiv approximately on the direct path from Jagraon to Sa Dec?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3867.3, + "via_waypoint_km": 12372.7, + "detour_km": 8505.4, + "detour_percent": 219.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Jagraon", + " End: Sa Dec", + " Waypoint: Kyiv", + "Step 2: Calculate direct distance", + " Start → End: 3867.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12372.7 km", + "Step 4: Calculate detour", + " Detour = 12372.7 - 3867.3 = 8505.4 km", + " Detour % = (8505.4 / 3867.3) × 100 = 219.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 219.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 56.704, + "lon": 60.0879, + "name": "Degtyarsk" + }, + "end": { + "lat": 37.49223, + "lon": 15.07041, + "name": "Catania" + }, + "waypoint": { + "lat": 56.49903, + "lon": 25.85735, + "name": "Jēkabpils" + }, + "question": "Is Jēkabpils approximately on the direct path from Degtyarsk to Catania?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3919.6, + "via_waypoint_km": 4333.4, + "detour_km": 413.7, + "detour_percent": 10.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Degtyarsk", + " End: Catania", + " Waypoint: Jēkabpils", + "Step 2: Calculate direct distance", + " Start → End: 3919.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 4333.4 km", + "Step 4: Calculate detour", + " Detour = 4333.4 - 3919.6 = 413.7 km", + " Detour % = (413.7 / 3919.6) × 100 = 10.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 10.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 42.57509, + "lon": -71.99813, + "name": "Gardner" + }, + "end": { + "lat": 42.58474, + "lon": -87.82119, + "name": "Kenosha" + }, + "waypoint": { + "lat": 10.79832, + "lon": 105.23887, + "name": "Tân Châu" + }, + "question": "Is Tân Châu approximately on the direct path from Gardner to Kenosha?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1293.6, + "via_waypoint_km": 28005.5, + "detour_km": 26711.8, + "detour_percent": 2064.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Gardner", + " End: Kenosha", + " Waypoint: Tân Châu", + "Step 2: Calculate direct distance", + " Start → End: 1293.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 28005.5 km", + "Step 4: Calculate detour", + " Detour = 28005.5 - 1293.6 = 26711.8 km", + " Detour % = (26711.8 / 1293.6) × 100 = 2064.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2064.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 16.77348, + "lon": -3.00742, + "name": "Timbuktu" + }, + "end": { + "lat": -25.02694, + "lon": 33.09889, + "name": "Macia" + }, + "waypoint": { + "lat": 10.66516, + "lon": -63.25387, + "name": "Carúpano" + }, + "question": "Is Carúpano approximately on the direct path from Timbuktu to Macia?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6074.7, + "via_waypoint_km": 17660.9, + "detour_km": 11586.2, + "detour_percent": 190.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Timbuktu", + " End: Macia", + " Waypoint: Carúpano", + "Step 2: Calculate direct distance", + " Start → End: 6074.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17660.9 km", + "Step 4: Calculate detour", + " Detour = 17660.9 - 6074.7 = 11586.2 km", + " Detour % = (11586.2 / 6074.7) × 100 = 190.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 190.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -1.28333, + "lon": 36.81667, + "name": "Nairobi" + }, + "end": { + "lat": 45.2762, + "lon": 130.27332, + "name": "Linkou" + }, + "waypoint": { + "lat": 10.27641, + "lon": 77.16205, + "name": "Marayur" + }, + "question": "Is Marayur approximately on the direct path from Nairobi to Linkou?", + "ground_truth": { + "answer": true, + "direct_distance_km": 10379.4, + "via_waypoint_km": 11000.7, + "detour_km": 621.3, + "detour_percent": 6.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Nairobi", + " End: Linkou", + " Waypoint: Marayur", + "Step 2: Calculate direct distance", + " Start → End: 10379.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11000.7 km", + "Step 4: Calculate detour", + " Detour = 11000.7 - 10379.4 = 621.3 km", + " Detour % = (621.3 / 10379.4) × 100 = 6.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 6.0% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 34.275, + "lon": 133.75, + "name": "Tadotsu" + }, + "end": { + "lat": 22.42996, + "lon": 80.10561, + "name": "Nainpur" + }, + "waypoint": { + "lat": 33.93575, + "lon": -5.21328, + "name": "Aïn Taoujdat" + }, + "question": "Is Aïn Taoujdat approximately on the direct path from Tadotsu to Nainpur?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5349.9, + "via_waypoint_km": 19536.9, + "detour_km": 14187.1, + "detour_percent": 265.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tadotsu", + " End: Nainpur", + " Waypoint: Aïn Taoujdat", + "Step 2: Calculate direct distance", + " Start → End: 5349.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19536.9 km", + "Step 4: Calculate detour", + " Detour = 19536.9 - 5349.9 = 14187.1 km", + " Detour % = (14187.1 / 5349.9) × 100 = 265.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 265.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 25.06136, + "lon": 79.44125, + "name": "Nowgong" + }, + "end": { + "lat": 3.4242, + "lon": 101.1849, + "name": "Kampung Tanjung Karang" + }, + "waypoint": { + "lat": 49.89408, + "lon": 28.60144, + "name": "Berdychiv" + }, + "question": "Is Berdychiv approximately on the direct path from Nowgong to Kampung Tanjung Karang?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3346.3, + "via_waypoint_km": 13609.6, + "detour_km": 10263.3, + "detour_percent": 306.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Nowgong", + " End: Kampung Tanjung Karang", + " Waypoint: Berdychiv", + "Step 2: Calculate direct distance", + " Start → End: 3346.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13609.6 km", + "Step 4: Calculate detour", + " Detour = 13609.6 - 3346.3 = 10263.3 km", + " Detour % = (10263.3 / 3346.3) × 100 = 306.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 306.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 2.2499, + "lon": 32.89985, + "name": "Lira" + }, + "end": { + "lat": 0.87178, + "lon": 35.12213, + "name": "Moi‘s Bridge" + }, + "waypoint": { + "lat": 5.0108, + "lon": 100.54101, + "name": "Bagan Serai" + }, + "question": "Is Bagan Serai approximately on the direct path from Lira to Moi‘s Bridge?", + "ground_truth": { + "answer": false, + "direct_distance_km": 290.7, + "via_waypoint_km": 14786.2, + "detour_km": 14495.5, + "detour_percent": 4986.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Lira", + " End: Moi‘s Bridge", + " Waypoint: Bagan Serai", + "Step 2: Calculate direct distance", + " Start → End: 290.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14786.2 km", + "Step 4: Calculate detour", + " Detour = 14786.2 - 290.7 = 14495.5 km", + " Detour % = (14495.5 / 290.7) × 100 = 4986.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 4986.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -28.65083, + "lon": -49.21, + "name": "Morro da Fumaça" + }, + "end": { + "lat": 9.831, + "lon": -84.29008, + "name": "San Rafael Abajo" + }, + "waypoint": { + "lat": 1.462, + "lon": 103.9053, + "name": "Pasir Gudang" + }, + "question": "Is Pasir Gudang approximately on the direct path from Morro da Fumaça to San Rafael Abajo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5700.3, + "via_waypoint_km": 34325.1, + "detour_km": 28624.9, + "detour_percent": 502.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Morro da Fumaça", + " End: San Rafael Abajo", + " Waypoint: Pasir Gudang", + "Step 2: Calculate direct distance", + " Start → End: 5700.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 34325.1 km", + "Step 4: Calculate detour", + " Detour = 34325.1 - 5700.3 = 28624.9 km", + " Detour % = (28624.9 / 5700.3) × 100 = 502.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 502.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -8.84024, + "lon": 31.36587, + "name": "Mbala" + }, + "end": { + "lat": 55.57957, + "lon": 36.70392, + "name": "Kubinka" + }, + "waypoint": { + "lat": 28.0199, + "lon": -82.77323, + "name": "Dunedin" + }, + "question": "Is Dunedin approximately on the direct path from Mbala to Kubinka?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7180.3, + "via_waypoint_km": 21931.8, + "detour_km": 14751.5, + "detour_percent": 205.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mbala", + " End: Kubinka", + " Waypoint: Dunedin", + "Step 2: Calculate direct distance", + " Start → End: 7180.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21931.8 km", + "Step 4: Calculate detour", + " Detour = 21931.8 - 7180.3 = 14751.5 km", + " Detour % = (14751.5 / 7180.3) × 100 = 205.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 205.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -33.88096, + "lon": 151.07986, + "name": "Strathfield" + }, + "end": { + "lat": -17.61686, + "lon": 177.45049, + "name": "Lautoka" + }, + "waypoint": { + "lat": 14.71542, + "lon": -17.27334, + "name": "Rufisque" + }, + "question": "Is Rufisque approximately on the direct path from Strathfield to Lautoka?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3184.7, + "via_waypoint_km": 35993.8, + "detour_km": 32809.1, + "detour_percent": 1030.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Strathfield", + " End: Lautoka", + " Waypoint: Rufisque", + "Step 2: Calculate direct distance", + " Start → End: 3184.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 35993.8 km", + "Step 4: Calculate detour", + " Detour = 35993.8 - 3184.7 = 32809.1 km", + " Detour % = (32809.1 / 3184.7) × 100 = 1030.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1030.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 46.23887, + "lon": 14.35561, + "name": "Kranj" + }, + "end": { + "lat": 30.51365, + "lon": 117.04723, + "name": "Anqing" + }, + "waypoint": { + "lat": 36.8065, + "lon": 127.1522, + "name": "Cheonan" + }, + "question": "Is Cheonan approximately on the direct path from Kranj to Anqing?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8491.0, + "via_waypoint_km": 9773.4, + "detour_km": 1282.4, + "detour_percent": 15.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kranj", + " End: Anqing", + " Waypoint: Cheonan", + "Step 2: Calculate direct distance", + " Start → End: 8491.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9773.4 km", + "Step 4: Calculate detour", + " Detour = 9773.4 - 8491.0 = 1282.4 km", + " Detour % = (1282.4 / 8491.0) × 100 = 15.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 15.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 60.15885, + "lon": 24.74241, + "name": "Matinkylä" + }, + "end": { + "lat": -31.09048, + "lon": 150.92905, + "name": "Tamworth" + }, + "waypoint": { + "lat": -0.6985, + "lon": -80.0925, + "name": "Chone" + }, + "question": "Is Chone approximately on the direct path from Matinkylä to Tamworth?", + "ground_truth": { + "answer": false, + "direct_distance_km": 14943.2, + "via_waypoint_km": 24473.3, + "detour_km": 9530.1, + "detour_percent": 63.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Matinkylä", + " End: Tamworth", + " Waypoint: Chone", + "Step 2: Calculate direct distance", + " Start → End: 14943.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24473.3 km", + "Step 4: Calculate detour", + " Detour = 24473.3 - 14943.2 = 9530.1 km", + " Detour % = (9530.1 / 14943.2) × 100 = 63.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 63.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -1.50583, + "lon": -48.62583, + "name": "Barcarena" + }, + "end": { + "lat": -23.58833, + "lon": -46.63464, + "name": "Vila Mariana" + }, + "waypoint": { + "lat": 6.73618, + "lon": 2.65866, + "name": "Sakété" + }, + "question": "Is Sakété approximately on the direct path from Barcarena to Vila Mariana?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2464.8, + "via_waypoint_km": 12087.5, + "detour_km": 9622.7, + "detour_percent": 390.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Barcarena", + " End: Vila Mariana", + " Waypoint: Sakété", + "Step 2: Calculate direct distance", + " Start → End: 2464.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12087.5 km", + "Step 4: Calculate detour", + " Detour = 12087.5 - 2464.8 = 9622.7 km", + " Detour % = (9622.7 / 2464.8) × 100 = 390.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 390.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 22.87932, + "lon": 116.07318, + "name": "Jiazi" + }, + "end": { + "lat": 53.56392, + "lon": 14.82854, + "name": "Goleniów" + }, + "waypoint": { + "lat": 45.85639, + "lon": 15.80778, + "name": "Zaprešić" + }, + "question": "Is Zaprešić approximately on the direct path from Jiazi to Goleniów?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8685.1, + "via_waypoint_km": 9813.7, + "detour_km": 1128.6, + "detour_percent": 13.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Jiazi", + " End: Goleniów", + " Waypoint: Zaprešić", + "Step 2: Calculate direct distance", + " Start → End: 8685.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9813.7 km", + "Step 4: Calculate detour", + " Detour = 9813.7 - 8685.1 = 1128.6 km", + " Detour % = (1128.6 / 8685.1) × 100 = 13.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 13.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.43932, + "lon": -3.64928, + "name": "Concepción" + }, + "end": { + "lat": 53.9297, + "lon": 37.92148, + "name": "Kireyevsk" + }, + "waypoint": { + "lat": 52.45052, + "lon": 13.62463, + "name": "Friedrichshagen" + }, + "question": "Is Friedrichshagen approximately on the direct path from Concepción to Kireyevsk?", + "ground_truth": { + "answer": true, + "direct_distance_km": 3417.5, + "via_waypoint_km": 3490.0, + "detour_km": 72.5, + "detour_percent": 2.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Concepción", + " End: Kireyevsk", + " Waypoint: Friedrichshagen", + "Step 2: Calculate direct distance", + " Start → End: 3417.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 3490.0 km", + "Step 4: Calculate detour", + " Detour = 3490.0 - 3417.5 = 72.5 km", + " Detour % = (72.5 / 3417.5) × 100 = 2.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2.1% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 11.68465, + "lon": 75.65493, + "name": "Nādāpuram" + }, + "end": { + "lat": 52.99826, + "lon": -0.40941, + "name": "Sleaford" + }, + "waypoint": { + "lat": -22.61222, + "lon": -46.70056, + "name": "Serra Negra" + }, + "question": "Is Serra Negra approximately on the direct path from Nādāpuram to Sleaford?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8041.8, + "via_waypoint_km": 23324.7, + "detour_km": 15282.9, + "detour_percent": 190.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Nādāpuram", + " End: Sleaford", + " Waypoint: Serra Negra", + "Step 2: Calculate direct distance", + " Start → End: 8041.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23324.7 km", + "Step 4: Calculate detour", + " Detour = 23324.7 - 8041.8 = 15282.9 km", + " Detour % = (15282.9 / 8041.8) × 100 = 190.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 190.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -9.16278, + "lon": -36.03194, + "name": "União dos Palmares" + }, + "end": { + "lat": 25.86894, + "lon": 85.17394, + "name": "Lālganj" + }, + "waypoint": { + "lat": 37.59192, + "lon": 14.97985, + "name": "Belpasso" + }, + "question": "Is Belpasso approximately on the direct path from União dos Palmares to Lālganj?", + "ground_truth": { + "answer": true, + "direct_distance_km": 13564.3, + "via_waypoint_km": 14034.8, + "detour_km": 470.5, + "detour_percent": 3.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: União dos Palmares", + " End: Lālganj", + " Waypoint: Belpasso", + "Step 2: Calculate direct distance", + " Start → End: 13564.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14034.8 km", + "Step 4: Calculate detour", + " Detour = 14034.8 - 13564.3 = 470.5 km", + " Detour % = (470.5 / 13564.3) × 100 = 3.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 3.5% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -22.18556, + "lon": -47.39028, + "name": "Leme" + }, + "end": { + "lat": 10.19814, + "lon": -5.62337, + "name": "Niellé" + }, + "waypoint": { + "lat": -17.30192, + "lon": 31.33056, + "name": "Bindura" + }, + "question": "Is Bindura approximately on the direct path from Leme to Niellé?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5804.6, + "via_waypoint_km": 13247.9, + "detour_km": 7443.3, + "detour_percent": 128.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Leme", + " End: Niellé", + " Waypoint: Bindura", + "Step 2: Calculate direct distance", + " Start → End: 5804.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13247.9 km", + "Step 4: Calculate detour", + " Detour = 13247.9 - 5804.6 = 7443.3 km", + " Detour % = (7443.3 / 5804.6) × 100 = 128.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 128.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 29.27846, + "lon": 106.23157, + "name": "Degan" + }, + "end": { + "lat": 22.05158, + "lon": 80.71566, + "name": "Malajkhand" + }, + "waypoint": { + "lat": 34.86667, + "lon": 138.26667, + "name": "Fujieda" + }, + "question": "Is Fujieda approximately on the direct path from Degan to Malajkhand?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2674.0, + "via_waypoint_km": 8793.5, + "detour_km": 6119.5, + "detour_percent": 228.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Degan", + " End: Malajkhand", + " Waypoint: Fujieda", + "Step 2: Calculate direct distance", + " Start → End: 2674.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 8793.5 km", + "Step 4: Calculate detour", + " Detour = 8793.5 - 2674.0 = 6119.5 km", + " Detour % = (6119.5 / 2674.0) × 100 = 228.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 228.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 48.78363, + "lon": 9.21032, + "name": "Stuttgart-Ost" + }, + "end": { + "lat": -1.85439, + "lon": 29.96238, + "name": "Shyorongi" + }, + "waypoint": { + "lat": 38.934, + "lon": -76.89664, + "name": "Landover" + }, + "question": "Is Landover approximately on the direct path from Stuttgart-Ost to Shyorongi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5975.3, + "via_waypoint_km": 18206.1, + "detour_km": 12230.8, + "detour_percent": 204.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Stuttgart-Ost", + " End: Shyorongi", + " Waypoint: Landover", + "Step 2: Calculate direct distance", + " Start → End: 5975.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18206.1 km", + "Step 4: Calculate detour", + " Detour = 18206.1 - 5975.3 = 12230.8 km", + " Detour % = (12230.8 / 5975.3) × 100 = 204.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 204.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -21.72028, + "lon": -51.01889, + "name": "Lucélia" + }, + "end": { + "lat": 38.0814, + "lon": 106.34444, + "name": "Dongta" + }, + "waypoint": { + "lat": 32.59644, + "lon": -114.70968, + "name": "Somerton" + }, + "question": "Is Somerton approximately on the direct path from Lucélia to Dongta?", + "ground_truth": { + "answer": false, + "direct_distance_km": 17188.3, + "via_waypoint_km": 20145.9, + "detour_km": 2957.6, + "detour_percent": 17.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Lucélia", + " End: Dongta", + " Waypoint: Somerton", + "Step 2: Calculate direct distance", + " Start → End: 17188.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20145.9 km", + "Step 4: Calculate detour", + " Detour = 20145.9 - 17188.3 = 2957.6 km", + " Detour % = (2957.6 / 17188.3) × 100 = 17.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 17.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 24.65218, + "lon": 75.99826, + "name": "Sātalkheri" + }, + "end": { + "lat": 51.64205, + "lon": 15.13727, + "name": "Żary" + }, + "waypoint": { + "lat": 50.40338, + "lon": 4.52826, + "name": "Châtelet" + }, + "question": "Is Châtelet approximately on the direct path from Sātalkheri to Żary?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5894.2, + "via_waypoint_km": 7385.1, + "detour_km": 1491.0, + "detour_percent": 25.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sātalkheri", + " End: Żary", + " Waypoint: Châtelet", + "Step 2: Calculate direct distance", + " Start → End: 5894.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 7385.1 km", + "Step 4: Calculate detour", + " Detour = 7385.1 - 5894.2 = 1491.0 km", + " Detour % = (1491.0 / 5894.2) × 100 = 25.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 25.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -30.60106, + "lon": -71.19901, + "name": "Ovalle" + }, + "end": { + "lat": -7.068, + "lon": 107.794, + "name": "Paseh" + }, + "waypoint": { + "lat": 34.35, + "lon": 132.33333, + "name": "Hatsukaichi" + }, + "question": "Is Hatsukaichi approximately on the direct path from Ovalle to Paseh?", + "ground_truth": { + "answer": false, + "direct_distance_km": 15825.1, + "via_waypoint_km": 23053.0, + "detour_km": 7227.9, + "detour_percent": 45.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ovalle", + " End: Paseh", + " Waypoint: Hatsukaichi", + "Step 2: Calculate direct distance", + " Start → End: 15825.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23053.0 km", + "Step 4: Calculate detour", + " Detour = 23053.0 - 15825.1 = 7227.9 km", + " Detour % = (7227.9 / 15825.1) × 100 = 45.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 45.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -2.06028, + "lon": 29.34778, + "name": "Kibuye" + }, + "end": { + "lat": -17.49194, + "lon": 37.02889, + "name": "Namacurra" + }, + "waypoint": { + "lat": -29.51694, + "lon": -50.77778, + "name": "Três Coroas" + }, + "question": "Is Três Coroas approximately on the direct path from Kibuye to Namacurra?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1910.0, + "via_waypoint_km": 17795.0, + "detour_km": 15885.0, + "detour_percent": 831.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kibuye", + " End: Namacurra", + " Waypoint: Três Coroas", + "Step 2: Calculate direct distance", + " Start → End: 1910.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17795.0 km", + "Step 4: Calculate detour", + " Detour = 17795.0 - 1910.0 = 15885.0 km", + " Detour % = (15885.0 / 1910.0) × 100 = 831.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 831.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 16.07686, + "lon": 97.56388, + "name": "Kyaikkami" + }, + "end": { + "lat": 20.55084, + "lon": -102.50822, + "name": "Atotonilco el Alto" + }, + "waypoint": { + "lat": 51.84382, + "lon": 6.85774, + "name": "Borken" + }, + "question": "Is Borken approximately on the direct path from Kyaikkami to Atotonilco el Alto?", + "ground_truth": { + "answer": false, + "direct_distance_km": 15390.2, + "via_waypoint_km": 18127.2, + "detour_km": 2737.0, + "detour_percent": 17.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kyaikkami", + " End: Atotonilco el Alto", + " Waypoint: Borken", + "Step 2: Calculate direct distance", + " Start → End: 15390.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18127.2 km", + "Step 4: Calculate detour", + " Detour = 18127.2 - 15390.2 = 2737.0 km", + " Detour % = (2737.0 / 15390.2) × 100 = 17.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 17.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 45.12191, + "lon": -95.04334, + "name": "Willmar" + }, + "end": { + "lat": 1.145, + "lon": 33.70944, + "name": "Pallisa" + }, + "waypoint": { + "lat": 24.8894, + "lon": 74.31667, + "name": "Kapasan" + }, + "question": "Is Kapasan approximately on the direct path from Willmar to Pallisa?", + "ground_truth": { + "answer": false, + "direct_distance_km": 12821.3, + "via_waypoint_km": 17250.4, + "detour_km": 4429.1, + "detour_percent": 34.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Willmar", + " End: Pallisa", + " Waypoint: Kapasan", + "Step 2: Calculate direct distance", + " Start → End: 12821.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17250.4 km", + "Step 4: Calculate detour", + " Detour = 17250.4 - 12821.3 = 4429.1 km", + " Detour % = (4429.1 / 12821.3) �� 100 = 34.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 34.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -21.79667, + "lon": -50.87861, + "name": "Osvaldo Cruz" + }, + "end": { + "lat": -33.71816, + "lon": 151.11561, + "name": "Wahroonga" + }, + "waypoint": { + "lat": -37.6, + "lon": 145.15, + "name": "Doreen" + }, + "question": "Is Doreen approximately on the direct path from Osvaldo Cruz to Wahroonga?", + "ground_truth": { + "answer": true, + "direct_distance_km": 13417.1, + "via_waypoint_km": 13891.0, + "detour_km": 473.9, + "detour_percent": 3.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Osvaldo Cruz", + " End: Wahroonga", + " Waypoint: Doreen", + "Step 2: Calculate direct distance", + " Start → End: 13417.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13891.0 km", + "Step 4: Calculate detour", + " Detour = 13891.0 - 13417.1 = 473.9 km", + " Detour % = (473.9 / 13417.1) × 100 = 3.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 3.5% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -11.36491, + "lon": 29.55652, + "name": "Samfya" + }, + "end": { + "lat": 5.4709, + "lon": 100.24529, + "name": "Batu Feringgi" + }, + "waypoint": { + "lat": -27.53221, + "lon": 153.22889, + "name": "Alexandra Hills" + }, + "question": "Is Alexandra Hills approximately on the direct path from Samfya to Batu Feringgi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8039.9, + "via_waypoint_km": 19330.7, + "detour_km": 11290.7, + "detour_percent": 140.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Samfya", + " End: Batu Feringgi", + " Waypoint: Alexandra Hills", + "Step 2: Calculate direct distance", + " Start → End: 8039.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19330.7 km", + "Step 4: Calculate detour", + " Detour = 19330.7 - 8039.9 = 11290.7 km", + " Detour % = (11290.7 / 8039.9) × 100 = 140.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 140.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 31.86431, + "lon": 74.95665, + "name": "Fatehgarh Chūriān" + }, + "end": { + "lat": 51.05224, + "lon": 8.39227, + "name": "Bad Berleburg" + }, + "waypoint": { + "lat": -18.31667, + "lon": 47.11667, + "name": "Ankazobe" + }, + "question": "Is Ankazobe approximately on the direct path from Fatehgarh Chūriān to Bad Berleburg?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5723.4, + "via_waypoint_km": 14906.6, + "detour_km": 9183.2, + "detour_percent": 160.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Fatehgarh Chūriān", + " End: Bad Berleburg", + " Waypoint: Ankazobe", + "Step 2: Calculate direct distance", + " Start → End: 5723.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14906.6 km", + "Step 4: Calculate detour", + " Detour = 14906.6 - 5723.4 = 9183.2 km", + " Detour % = (9183.2 / 5723.4) × 100 = 160.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 160.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 4.3945, + "lon": 101.1947, + "name": "Sungai Siput" + }, + "end": { + "lat": 9.92849, + "lon": 8.89212, + "name": "Jos" + }, + "waypoint": { + "lat": 35.0109, + "lon": -3.00938, + "name": "Al Aaroui" + }, + "question": "Is Al Aaroui approximately on the direct path from Sungai Siput to Jos?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10174.8, + "via_waypoint_km": 14047.5, + "detour_km": 3872.7, + "detour_percent": 38.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sungai Siput", + " End: Jos", + " Waypoint: Al Aaroui", + "Step 2: Calculate direct distance", + " Start → End: 10174.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14047.5 km", + "Step 4: Calculate detour", + " Detour = 14047.5 - 10174.8 = 3872.7 km", + " Detour % = (3872.7 / 10174.8) × 100 = 38.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 38.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 26.08657, + "lon": 32.42265, + "name": "Al Waqf" + }, + "end": { + "lat": 52.49376, + "lon": 13.44469, + "name": "Treptow" + }, + "waypoint": { + "lat": 45.74222, + "lon": -73.45008, + "name": "Repentigny" + }, + "question": "Is Repentigny approximately on the direct path from Al Waqf to Treptow?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3337.0, + "via_waypoint_km": 15067.9, + "detour_km": 11730.8, + "detour_percent": 351.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Al Waqf", + " End: Treptow", + " Waypoint: Repentigny", + "Step 2: Calculate direct distance", + " Start → End: 3337.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15067.9 km", + "Step 4: Calculate detour", + " Detour = 15067.9 - 3337.0 = 11730.8 km", + " Detour % = (11730.8 / 3337.0) × 100 = 351.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 351.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 10.74244, + "lon": 13.80227, + "name": "Mokolo" + }, + "end": { + "lat": 43.90012, + "lon": -78.84957, + "name": "Oshawa" + }, + "waypoint": { + "lat": 41.55806, + "lon": 69.77083, + "name": "G‘azalkent" + }, + "question": "Is G‘azalkent approximately on the direct path from Mokolo to Oshawa?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9391.8, + "via_waypoint_km": 16420.0, + "detour_km": 7028.2, + "detour_percent": 74.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mokolo", + " End: Oshawa", + " Waypoint: G‘azalkent", + "Step 2: Calculate direct distance", + " Start → End: 9391.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16420.0 km", + "Step 4: Calculate detour", + " Detour = 16420.0 - 9391.8 = 7028.2 km", + " Detour % = (7028.2 / 9391.8) × 100 = 74.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 74.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 43.97478, + "lon": -75.91076, + "name": "Watertown" + }, + "end": { + "lat": 16.47635, + "lon": 79.43533, + "name": "Mācherla" + }, + "waypoint": { + "lat": 50.60979, + "lon": 4.14658, + "name": "Braine-le-Comte" + }, + "question": "Is Braine-le-Comte approximately on the direct path from Watertown to Mācherla?", + "ground_truth": { + "answer": true, + "direct_distance_km": 12841.2, + "via_waypoint_km": 13351.0, + "detour_km": 509.7, + "detour_percent": 4.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Watertown", + " End: Mācherla", + " Waypoint: Braine-le-Comte", + "Step 2: Calculate direct distance", + " Start → End: 12841.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13351.0 km", + "Step 4: Calculate detour", + " Detour = 13351.0 - 12841.2 = 509.7 km", + " Detour % = (509.7 / 12841.2) × 100 = 4.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 4.0% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 9.9839, + "lon": 122.81423, + "name": "Kabankalan" + }, + "end": { + "lat": 19.74276, + "lon": 109.34492, + "name": "Zhonghe" + }, + "waypoint": { + "lat": 43.21694, + "lon": 141.51694, + "name": "Tōbetsu" + }, + "question": "Is Tōbetsu approximately on the direct path from Kabankalan to Zhonghe?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1807.3, + "via_waypoint_km": 8086.6, + "detour_km": 6279.3, + "detour_percent": 347.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kabankalan", + " End: Zhonghe", + " Waypoint: Tōbetsu", + "Step 2: Calculate direct distance", + " Start → End: 1807.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 8086.6 km", + "Step 4: Calculate detour", + " Detour = 8086.6 - 1807.3 = 6279.3 km", + " Detour % = (6279.3 / 1807.3) × 100 = 347.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 347.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 50.40578, + "lon": 3.89603, + "name": "Frameries" + }, + "end": { + "lat": 55.65619, + "lon": 37.94713, + "name": "Tomilino" + }, + "waypoint": { + "lat": 34.17482, + "lon": -86.84361, + "name": "Cullman" + }, + "question": "Is Cullman approximately on the direct path from Frameries to Tomilino?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2324.9, + "via_waypoint_km": 15944.7, + "detour_km": 13619.8, + "detour_percent": 585.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Frameries", + " End: Tomilino", + " Waypoint: Cullman", + "Step 2: Calculate direct distance", + " Start → End: 2324.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15944.7 km", + "Step 4: Calculate detour", + " Detour = 15944.7 - 2324.9 = 13619.8 km", + " Detour % = (13619.8 / 2324.9) × 100 = 585.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 585.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -33.9125, + "lon": 151.10279, + "name": "Campsie" + }, + "end": { + "lat": 53.36797, + "lon": -1.84536, + "name": "High Peak" + }, + "waypoint": { + "lat": 37.06946, + "lon": -8.10064, + "name": "Quarteira" + }, + "question": "Is Quarteira approximately on the direct path from Campsie to High Peak?", + "ground_truth": { + "answer": false, + "direct_distance_km": 16981.0, + "via_waypoint_km": 19979.4, + "detour_km": 2998.5, + "detour_percent": 17.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Campsie", + " End: High Peak", + " Waypoint: Quarteira", + "Step 2: Calculate direct distance", + " Start → End: 16981.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19979.4 km", + "Step 4: Calculate detour", + " Detour = 19979.4 - 16981.0 = 2998.5 km", + " Detour % = (2998.5 / 16981.0) × 100 = 17.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 17.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 10.88459, + "lon": 75.93091, + "name": "Talakkād" + }, + "end": { + "lat": 48.74565, + "lon": 2.26796, + "name": "Verrières-le-Buisson" + }, + "waypoint": { + "lat": -32.27682, + "lon": 115.72978, + "name": "Rockingham" + }, + "question": "Is Rockingham approximately on the direct path from Talakkād to Verrières-le-Buisson?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7904.7, + "via_waypoint_km": 20691.6, + "detour_km": 12786.9, + "detour_percent": 161.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Talakkād", + " End: Verrières-le-Buisson", + " Waypoint: Rockingham", + "Step 2: Calculate direct distance", + " Start → End: 7904.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20691.6 km", + "Step 4: Calculate detour", + " Detour = 20691.6 - 7904.7 = 12786.9 km", + " Detour % = (12786.9 / 7904.7) × 100 = 161.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 161.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 9.54533, + "lon": 76.51414, + "name": "Nattakam" + }, + "end": { + "lat": 38.54516, + "lon": 77.25732, + "name": "Tage'erqi" + }, + "waypoint": { + "lat": 52.21833, + "lon": 6.89583, + "name": "Enschede" + }, + "question": "Is Enschede approximately on the direct path from Nattakam to Tage'erqi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3225.5, + "via_waypoint_km": 13257.2, + "detour_km": 10031.7, + "detour_percent": 311.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Nattakam", + " End: Tage'erqi", + " Waypoint: Enschede", + "Step 2: Calculate direct distance", + " Start → End: 3225.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13257.2 km", + "Step 4: Calculate detour", + " Detour = 13257.2 - 3225.5 = 10031.7 km", + " Detour % = (10031.7 / 3225.5) × 100 = 311.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 311.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.8831, + "lon": -85.49748, + "name": "Huntington" + }, + "end": { + "lat": 35.76666, + "lon": 139.77137, + "name": "Ōgi" + }, + "waypoint": { + "lat": 8.4859, + "lon": 123.8048, + "name": "Oroquieta" + }, + "question": "Is Oroquieta approximately on the direct path from Huntington to Ōgi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10321.0, + "via_waypoint_km": 17199.0, + "detour_km": 6877.9, + "detour_percent": 66.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Huntington", + " End: Ōgi", + " Waypoint: Oroquieta", + "Step 2: Calculate direct distance", + " Start → End: 10321.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17199.0 km", + "Step 4: Calculate detour", + " Detour = 17199.0 - 10321.0 = 6877.9 km", + " Detour % = (6877.9 / 10321.0) × 100 = 66.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 66.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 35.78472, + "lon": 118.62806, + "name": "Yishui" + }, + "end": { + "lat": 16.86773, + "lon": 77.39088, + "name": "Gurmatkāl" + }, + "waypoint": { + "lat": -3.28278, + "lon": 30.96417, + "name": "Kakonko" + }, + "question": "Is Kakonko approximately on the direct path from Yishui to Gurmatkāl?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4571.2, + "via_waypoint_km": 15577.4, + "detour_km": 11006.3, + "detour_percent": 240.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Yishui", + " End: Gurmatkāl", + " Waypoint: Kakonko", + "Step 2: Calculate direct distance", + " Start → End: 4571.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15577.4 km", + "Step 4: Calculate detour", + " Detour = 15577.4 - 4571.2 = 11006.3 km", + " Detour % = (11006.3 / 4571.2) × 100 = 240.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 240.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -32.73308, + "lon": 151.5574, + "name": "Maitland" + }, + "end": { + "lat": 42.66085, + "lon": -8.11285, + "name": "Lalín" + }, + "waypoint": { + "lat": -6.87666, + "lon": 112.37606, + "name": "Paciran" + }, + "question": "Is Paciran approximately on the direct path from Maitland to Lalín?", + "ground_truth": { + "answer": true, + "direct_distance_km": 17921.5, + "via_waypoint_km": 17951.0, + "detour_km": 29.5, + "detour_percent": 0.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Maitland", + " End: Lalín", + " Waypoint: Paciran", + "Step 2: Calculate direct distance", + " Start → End: 17921.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17951.0 km", + "Step 4: Calculate detour", + " Detour = 17951.0 - 17921.5 = 29.5 km", + " Detour % = (29.5 / 17921.5) × 100 = 0.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.2% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 18.56163, + "lon": 121.23189, + "name": "Sanchez-Mira" + }, + "end": { + "lat": 47.5776, + "lon": -122.10123, + "name": "West Lake Sammamish" + }, + "waypoint": { + "lat": 6.14978, + "lon": 6.78569, + "name": "Onitsha" + }, + "question": "Is Onitsha approximately on the direct path from Sanchez-Mira to West Lake Sammamish?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10339.1, + "via_waypoint_km": 24557.3, + "detour_km": 14218.2, + "detour_percent": 137.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sanchez-Mira", + " End: West Lake Sammamish", + " Waypoint: Onitsha", + "Step 2: Calculate direct distance", + " Start → End: 10339.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24557.3 km", + "Step 4: Calculate detour", + " Detour = 24557.3 - 10339.1 = 14218.2 km", + " Detour % = (14218.2 / 10339.1) × 100 = 137.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 137.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 41.2, + "lon": -8.63333, + "name": "São Tiago de Custoias" + }, + "end": { + "lat": 52.62348, + "lon": 20.37552, + "name": "Płońsk" + }, + "waypoint": { + "lat": 43.46004, + "lon": -84.00674, + "name": "Saginaw Township North" + }, + "question": "Is Saginaw Township North approximately on the direct path from São Tiago de Custoias to Płońsk?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2518.3, + "via_waypoint_km": 13104.3, + "detour_km": 10586.0, + "detour_percent": 420.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: São Tiago de Custoias", + " End: Płońsk", + " Waypoint: Saginaw Township North", + "Step 2: Calculate direct distance", + " Start → End: 2518.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13104.3 km", + "Step 4: Calculate detour", + " Detour = 13104.3 - 2518.3 = 10586.0 km", + " Detour % = (10586.0 / 2518.3) × 100 = 420.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 420.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 5.4685, + "lon": 9.8818, + "name": "Fontem" + }, + "end": { + "lat": 60.02427, + "lon": 30.28491, + "name": "Kolomyagi" + }, + "waypoint": { + "lat": 51.43218, + "lon": 6.87967, + "name": "Mülheim" + }, + "question": "Is Mülheim approximately on the direct path from Fontem to Kolomyagi?", + "ground_truth": { + "answer": true, + "direct_distance_km": 6307.2, + "via_waypoint_km": 6853.5, + "detour_km": 546.3, + "detour_percent": 8.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Fontem", + " End: Kolomyagi", + " Waypoint: Mülheim", + "Step 2: Calculate direct distance", + " Start → End: 6307.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 6853.5 km", + "Step 4: Calculate detour", + " Detour = 6853.5 - 6307.2 = 546.3 km", + " Detour % = (546.3 / 6307.2) × 100 = 8.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 8.7% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -37.8676, + "lon": 144.98099, + "name": "Saint Kilda" + }, + "end": { + "lat": 33.83186, + "lon": -4.828, + "name": "Sefrou" + }, + "waypoint": { + "lat": 44.05722, + "lon": 17.45083, + "name": "Bugojno" + }, + "question": "Is Bugojno approximately on the direct path from Saint Kilda to Sefrou?", + "ground_truth": { + "answer": true, + "direct_distance_km": 17269.5, + "via_waypoint_km": 17857.6, + "detour_km": 588.1, + "detour_percent": 3.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Saint Kilda", + " End: Sefrou", + " Waypoint: Bugojno", + "Step 2: Calculate direct distance", + " Start → End: 17269.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17857.6 km", + "Step 4: Calculate detour", + " Detour = 17857.6 - 17269.5 = 588.1 km", + " Detour % = (588.1 / 17269.5) × 100 = 3.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 3.4% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 39.70471, + "lon": -105.08137, + "name": "Lakewood" + }, + "end": { + "lat": 52.37052, + "lon": 9.73322, + "name": "Hannover" + }, + "waypoint": { + "lat": -28.2925, + "lon": -53.50167, + "name": "Panambi" + }, + "question": "Is Panambi approximately on the direct path from Lakewood to Hannover?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8007.5, + "via_waypoint_km": 20111.9, + "detour_km": 12104.4, + "detour_percent": 151.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Lakewood", + " End: Hannover", + " Waypoint: Panambi", + "Step 2: Calculate direct distance", + " Start → End: 8007.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20111.9 km", + "Step 4: Calculate detour", + " Detour = 20111.9 - 8007.5 = 12104.4 km", + " Detour % = (12104.4 / 8007.5) × 100 = 151.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 151.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.59917, + "lon": -4.53505, + "name": "Arroyo de la Miel" + }, + "end": { + "lat": 43.25, + "lon": -5.76667, + "name": "Mieres" + }, + "waypoint": { + "lat": 25.41524, + "lon": 51.40647, + "name": "Umm Şalāl Muḩammad" + }, + "question": "Is Umm Şalāl Muḩammad approximately on the direct path from Arroyo de la Miel to Mieres?", + "ground_truth": { + "answer": false, + "direct_distance_km": 746.9, + "via_waypoint_km": 10892.0, + "detour_km": 10145.1, + "detour_percent": 1358.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Arroyo de la Miel", + " End: Mieres", + " Waypoint: Umm Şalāl Muḩammad", + "Step 2: Calculate direct distance", + " Start → End: 746.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10892.0 km", + "Step 4: Calculate detour", + " Detour = 10892.0 - 746.9 = 10145.1 km", + " Detour % = (10145.1 / 746.9) × 100 = 1358.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1358.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -26.08577, + "lon": 27.77515, + "name": "Krugersdorp" + }, + "end": { + "lat": -11.42173, + "lon": 15.12345, + "name": "Cela" + }, + "waypoint": { + "lat": -23.67463, + "lon": -46.68751, + "name": "Campo Grande" + }, + "question": "Is Campo Grande approximately on the direct path from Krugersdorp to Cela?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2102.2, + "via_waypoint_km": 14052.7, + "detour_km": 11950.4, + "detour_percent": 568.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Krugersdorp", + " End: Cela", + " Waypoint: Campo Grande", + "Step 2: Calculate direct distance", + " Start → End: 2102.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14052.7 km", + "Step 4: Calculate detour", + " Detour = 14052.7 - 2102.2 = 11950.4 km", + " Detour % = (11950.4 / 2102.2) × 100 = 568.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 568.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -7.91446, + "lon": 39.66204, + "name": "Kilindoni" + }, + "end": { + "lat": 53.60357, + "lon": 87.33197, + "name": "Osinniki" + }, + "waypoint": { + "lat": -8.71167, + "lon": -36.415, + "name": "Jupi" + }, + "question": "Is Jupi approximately on the direct path from Kilindoni to Osinniki?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8166.7, + "via_waypoint_km": 21320.6, + "detour_km": 13153.9, + "detour_percent": 161.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kilindoni", + " End: Osinniki", + " Waypoint: Jupi", + "Step 2: Calculate direct distance", + " Start → End: 8166.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21320.6 km", + "Step 4: Calculate detour", + " Detour = 21320.6 - 8166.7 = 13153.9 km", + " Detour % = (13153.9 / 8166.7) × 100 = 161.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 161.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 25.41814, + "lon": 55.50791, + "name": "Al Jurf" + }, + "end": { + "lat": -8.38306, + "lon": -35.4525, + "name": "Amaraji" + }, + "waypoint": { + "lat": 41.82392, + "lon": -87.85173, + "name": "Brookfield" + }, + "question": "Is Brookfield approximately on the direct path from Al Jurf to Amaraji?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10502.1, + "via_waypoint_km": 19354.4, + "detour_km": 8852.2, + "detour_percent": 84.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Al Jurf", + " End: Amaraji", + " Waypoint: Brookfield", + "Step 2: Calculate direct distance", + " Start → End: 10502.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19354.4 km", + "Step 4: Calculate detour", + " Detour = 19354.4 - 10502.1 = 8852.2 km", + " Detour % = (8852.2 / 10502.1) × 100 = 84.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 84.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 13.7, + "lon": 80.01667, + "name": "Sūlūru" + }, + "end": { + "lat": -24.7718, + "lon": 25.42156, + "name": "Mosopa" + }, + "waypoint": { + "lat": 62.00973, + "lon": -6.77164, + "name": "Tórshavn" + }, + "question": "Is Tórshavn approximately on the direct path from Sūlūru to Mosopa?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7303.2, + "via_waypoint_km": 18565.6, + "detour_km": 11262.3, + "detour_percent": 154.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sūlūru", + " End: Mosopa", + " Waypoint: Tórshavn", + "Step 2: Calculate direct distance", + " Start → End: 7303.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18565.6 km", + "Step 4: Calculate detour", + " Detour = 18565.6 - 7303.2 = 11262.3 km", + " Detour % = (11262.3 / 7303.2) × 100 = 154.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 154.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 37.83605, + "lon": 139.22332, + "name": "Agano" + }, + "end": { + "lat": 25.36379, + "lon": 82.18655, + "name": "Handiā" + }, + "waypoint": { + "lat": 51.53622, + "lon": -0.10304, + "name": "Islington" + }, + "question": "Is Islington approximately on the direct path from Agano to Handiā?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5490.7, + "via_waypoint_km": 16630.3, + "detour_km": 11139.6, + "detour_percent": 202.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Agano", + " End: Handiā", + " Waypoint: Islington", + "Step 2: Calculate direct distance", + " Start → End: 5490.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16630.3 km", + "Step 4: Calculate detour", + " Detour = 16630.3 - 5490.7 = 11139.6 km", + " Detour % = (11139.6 / 5490.7) × 100 = 202.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 202.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 47.98372, + "lon": 10.18527, + "name": "Memmingen" + }, + "end": { + "lat": 10.31672, + "lon": 123.89071, + "name": "Cebu City" + }, + "waypoint": { + "lat": -3.63333, + "lon": -44.37667, + "name": "Cantanhede" + }, + "question": "Is Cantanhede approximately on the direct path from Memmingen to Cebu City?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10849.0, + "via_waypoint_km": 26318.5, + "detour_km": 15469.5, + "detour_percent": 142.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Memmingen", + " End: Cebu City", + " Waypoint: Cantanhede", + "Step 2: Calculate direct distance", + " Start → End: 10849.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26318.5 km", + "Step 4: Calculate detour", + " Detour = 26318.5 - 10849.0 = 15469.5 km", + " Detour % = (15469.5 / 10849.0) × 100 = 142.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 142.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 16.02148, + "lon": 80.91808, + "name": "Avanigadda" + }, + "end": { + "lat": 55.83956, + "lon": 12.06896, + "name": "Frederikssund" + }, + "waypoint": { + "lat": 51.48897, + "lon": -0.13699, + "name": "Pimlico" + }, + "question": "Is Pimlico approximately on the direct path from Avanigadda to Frederikssund?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7224.2, + "via_waypoint_km": 8942.6, + "detour_km": 1718.4, + "detour_percent": 23.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Avanigadda", + " End: Frederikssund", + " Waypoint: Pimlico", + "Step 2: Calculate direct distance", + " Start → End: 7224.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 8942.6 km", + "Step 4: Calculate detour", + " Detour = 8942.6 - 7224.2 = 1718.4 km", + " Detour % = (1718.4 / 7224.2) × 100 = 23.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 23.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -9.90971, + "lon": -36.35611, + "name": "Teotônio Vilela" + }, + "end": { + "lat": 33.404, + "lon": 49.69179, + "name": "Alīgūdarz" + }, + "waypoint": { + "lat": -6.15, + "lon": 36.86667, + "name": "Geiro" + }, + "question": "Is Geiro approximately on the direct path from Teotônio Vilela to Alīgūdarz?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10250.1, + "via_waypoint_km": 12660.2, + "detour_km": 2410.0, + "detour_percent": 23.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Teotônio Vilela", + " End: Alīgūdarz", + " Waypoint: Geiro", + "Step 2: Calculate direct distance", + " Start → End: 10250.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12660.2 km", + "Step 4: Calculate detour", + " Detour = 12660.2 - 10250.1 = 2410.0 km", + " Detour % = (2410.0 / 10250.1) × 100 = 23.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 23.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -26.23656, + "lon": 28.36938, + "name": "Brakpan" + }, + "end": { + "lat": -27.96724, + "lon": 153.39796, + "name": "Southport" + }, + "waypoint": { + "lat": 38.76771, + "lon": -9.19935, + "name": "Pontinha" + }, + "question": "Is Pontinha approximately on the direct path from Brakpan to Southport?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11600.3, + "via_waypoint_km": 26223.5, + "detour_km": 14623.2, + "detour_percent": 126.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Brakpan", + " End: Southport", + " Waypoint: Pontinha", + "Step 2: Calculate direct distance", + " Start → End: 11600.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26223.5 km", + "Step 4: Calculate detour", + " Detour = 26223.5 - 11600.3 = 14623.2 km", + " Detour % = (14623.2 / 11600.3) × 100 = 126.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 126.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -6.22977, + "lon": 155.56598, + "name": "Arawa" + }, + "end": { + "lat": -34.4187, + "lon": 19.23446, + "name": "Hermanus" + }, + "waypoint": { + "lat": -31.49285, + "lon": 25.00633, + "name": "Middelburg" + }, + "question": "Is Middelburg approximately on the direct path from Arawa to Hermanus?", + "ground_truth": { + "answer": true, + "direct_distance_km": 13580.3, + "via_waypoint_km": 13932.0, + "detour_km": 351.7, + "detour_percent": 2.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Arawa", + " End: Hermanus", + " Waypoint: Middelburg", + "Step 2: Calculate direct distance", + " Start → End: 13580.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13932.0 km", + "Step 4: Calculate detour", + " Detour = 13932.0 - 13580.3 = 351.7 km", + " Detour % = (351.7 / 13580.3) × 100 = 2.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2.6% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 52.25688, + "lon": -1.16066, + "name": "Daventry" + }, + "end": { + "lat": 30.21309, + "lon": -93.2044, + "name": "Lake Charles" + }, + "waypoint": { + "lat": 38.70116, + "lon": -90.36234, + "name": "Overland" + }, + "question": "Is Overland approximately on the direct path from Daventry to Lake Charles?", + "ground_truth": { + "answer": true, + "direct_distance_km": 7530.6, + "via_waypoint_km": 7642.7, + "detour_km": 112.1, + "detour_percent": 1.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Daventry", + " End: Lake Charles", + " Waypoint: Overland", + "Step 2: Calculate direct distance", + " Start → End: 7530.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 7642.7 km", + "Step 4: Calculate detour", + " Detour = 7642.7 - 7530.6 = 112.1 km", + " Detour % = (112.1 / 7530.6) × 100 = 1.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1.5% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.5575, + "lon": 116.72722, + "name": "Changqing" + }, + "end": { + "lat": 30.37345, + "lon": -9.54761, + "name": "Dchira El Jihadia" + }, + "waypoint": { + "lat": 52.19166, + "lon": -1.70734, + "name": "Stratford-upon-Avon" + }, + "question": "Is Stratford-upon-Avon approximately on the direct path from Changqing to Dchira El Jihadia?", + "ground_truth": { + "answer": true, + "direct_distance_km": 10702.4, + "via_waypoint_km": 10998.3, + "detour_km": 295.9, + "detour_percent": 2.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Changqing", + " End: Dchira El Jihadia", + " Waypoint: Stratford-upon-Avon", + "Step 2: Calculate direct distance", + " Start → End: 10702.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10998.3 km", + "Step 4: Calculate detour", + " Detour = 10998.3 - 10702.4 = 295.9 km", + " Detour % = (295.9 / 10702.4) × 100 = 2.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2.8% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -22.47639, + "lon": -46.63278, + "name": "Águas de Lindóia" + }, + "end": { + "lat": 51.66444, + "lon": -3.25611, + "name": "Gelligaer" + }, + "waypoint": { + "lat": 53.08621, + "lon": 21.57566, + "name": "Ostrołęka" + }, + "question": "Is Ostrołęka approximately on the direct path from Águas de Lindóia to Gelligaer?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9262.2, + "via_waypoint_km": 12327.9, + "detour_km": 3065.7, + "detour_percent": 33.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Águas de Lindóia", + " End: Gelligaer", + " Waypoint: Ostrołęka", + "Step 2: Calculate direct distance", + " Start → End: 9262.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12327.9 km", + "Step 4: Calculate detour", + " Detour = 12327.9 - 9262.2 = 3065.7 km", + " Detour % = (3065.7 / 9262.2) × 100 = 33.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 33.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 24.48983, + "lon": 86.69902, + "name": "Deoghar" + }, + "end": { + "lat": -29.79145, + "lon": -58.0499, + "name": "Curuzú Cuatiá" + }, + "waypoint": { + "lat": -21.36667, + "lon": -45.5125, + "name": "Três Pontas" + }, + "question": "Is Três Pontas approximately on the direct path from Deoghar to Curuzú Cuatiá?", + "ground_truth": { + "answer": true, + "direct_distance_km": 16491.3, + "via_waypoint_km": 16698.6, + "detour_km": 207.3, + "detour_percent": 1.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Deoghar", + " End: Curuzú Cuatiá", + " Waypoint: Três Pontas", + "Step 2: Calculate direct distance", + " Start → End: 16491.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16698.6 km", + "Step 4: Calculate detour", + " Detour = 16698.6 - 16491.3 = 207.3 km", + " Detour % = (207.3 / 16491.3) × 100 = 1.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1.3% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 25.49856, + "lon": 84.96084, + "name": "Naubatpur" + }, + "end": { + "lat": 20.43108, + "lon": -101.72261, + "name": "Pénjamo" + }, + "waypoint": { + "lat": -17.61686, + "lon": 177.45049, + "name": "Lautoka" + }, + "question": "Is Lautoka approximately on the direct path from Naubatpur to Pénjamo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 14857.2, + "via_waypoint_km": 20854.2, + "detour_km": 5997.0, + "detour_percent": 40.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Naubatpur", + " End: Pénjamo", + " Waypoint: Lautoka", + "Step 2: Calculate direct distance", + " Start → End: 14857.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20854.2 km", + "Step 4: Calculate detour", + " Detour = 20854.2 - 14857.2 = 5997.0 km", + " Detour % = (5997.0 / 14857.2) × 100 = 40.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 40.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -9.07508, + "lon": -78.59373, + "name": "Chimbote" + }, + "end": { + "lat": -2.99983, + "lon": 31.93261, + "name": "Katoro" + }, + "waypoint": { + "lat": 58.753, + "lon": 17.00788, + "name": "Nyköping" + }, + "question": "Is Nyköping approximately on the direct path from Chimbote to Katoro?", + "ground_truth": { + "answer": false, + "direct_distance_km": 12201.0, + "via_waypoint_km": 18184.4, + "detour_km": 5983.4, + "detour_percent": 49.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Chimbote", + " End: Katoro", + " Waypoint: Nyköping", + "Step 2: Calculate direct distance", + " Start → End: 12201.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18184.4 km", + "Step 4: Calculate detour", + " Detour = 18184.4 - 12201.0 = 5983.4 km", + " Detour % = (5983.4 / 12201.0) × 100 = 49.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 49.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -24.98776, + "lon": 31.2385, + "name": "Mkhuhlu" + }, + "end": { + "lat": 35.38423, + "lon": -97.72449, + "name": "Mustang" + }, + "waypoint": { + "lat": 8.45611, + "lon": 125.78417, + "name": "Talacogon" + }, + "question": "Is Talacogon approximately on the direct path from Mkhuhlu to Mustang?", + "ground_truth": { + "answer": false, + "direct_distance_km": 15031.0, + "via_waypoint_km": 24199.9, + "detour_km": 9168.9, + "detour_percent": 61.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mkhuhlu", + " End: Mustang", + " Waypoint: Talacogon", + "Step 2: Calculate direct distance", + " Start → End: 15031.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24199.9 km", + "Step 4: Calculate detour", + " Detour = 24199.9 - 15031.0 = 9168.9 km", + " Detour % = (9168.9 / 15031.0) × 100 = 61.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 61.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 38.52005, + "lon": -89.98399, + "name": "Belleville" + }, + "end": { + "lat": 40.12067, + "lon": -75.11795, + "name": "Abington" + }, + "waypoint": { + "lat": -37.81819, + "lon": 145.00176, + "name": "Richmond" + }, + "question": "Is Richmond approximately on the direct path from Belleville to Abington?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1289.6, + "via_waypoint_km": 31848.6, + "detour_km": 30559.0, + "detour_percent": 2369.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Belleville", + " End: Abington", + " Waypoint: Richmond", + "Step 2: Calculate direct distance", + " Start → End: 1289.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 31848.6 km", + "Step 4: Calculate detour", + " Detour = 31848.6 - 1289.6 = 30559.0 km", + " Detour % = (30559.0 / 1289.6) × 100 = 2369.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2369.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.06629, + "lon": 1.12602, + "name": "Boukadir" + }, + "end": { + "lat": -13.39718, + "lon": 48.26663, + "name": "Hell-Ville" + }, + "waypoint": { + "lat": 42.93173, + "lon": -76.56605, + "name": "Auburn" + }, + "question": "Is Auburn approximately on the direct path from Boukadir to Hell-Ville?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7396.5, + "via_waypoint_km": 20300.2, + "detour_km": 12903.7, + "detour_percent": 174.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Boukadir", + " End: Hell-Ville", + " Waypoint: Auburn", + "Step 2: Calculate direct distance", + " Start → End: 7396.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20300.2 km", + "Step 4: Calculate detour", + " Detour = 20300.2 - 7396.5 = 12903.7 km", + " Detour % = (12903.7 / 7396.5) × 100 = 174.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 174.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 44.38333, + "lon": 27.83333, + "name": "Feteşti" + }, + "end": { + "lat": 55.63711, + "lon": 37.38115, + "name": "Solntsevo" + }, + "waypoint": { + "lat": 42.95947, + "lon": -85.48975, + "name": "Forest Hills" + }, + "question": "Is Forest Hills approximately on the direct path from Feteşti to Solntsevo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1422.3, + "via_waypoint_km": 16076.9, + "detour_km": 14654.7, + "detour_percent": 1030.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Feteşti", + " End: Solntsevo", + " Waypoint: Forest Hills", + "Step 2: Calculate direct distance", + " Start → End: 1422.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16076.9 km", + "Step 4: Calculate detour", + " Detour = 16076.9 - 1422.3 = 14654.7 km", + " Detour % = (14654.7 / 1422.3) × 100 = 1030.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1030.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 53.48414, + "lon": -2.05908, + "name": "Stalybridge" + }, + "end": { + "lat": -7.64265, + "lon": -47.21738, + "name": "Santa Luzia" + }, + "waypoint": { + "lat": 19.28287, + "lon": -98.19609, + "name": "La Magdalena Tlaltelulco" + }, + "question": "Is La Magdalena Tlaltelulco approximately on the direct path from Stalybridge to Santa Luzia?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8006.3, + "via_waypoint_km": 15024.5, + "detour_km": 7018.2, + "detour_percent": 87.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Stalybridge", + " End: Santa Luzia", + " Waypoint: La Magdalena Tlaltelulco", + "Step 2: Calculate direct distance", + " Start → End: 8006.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15024.5 km", + "Step 4: Calculate detour", + " Detour = 15024.5 - 8006.3 = 7018.2 km", + " Detour % = (7018.2 / 8006.3) × 100 = 87.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 87.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 13.6403, + "lon": 4.02649, + "name": "Dogondoutchi" + }, + "end": { + "lat": -6.81167, + "lon": 107.6175, + "name": "Lembang" + }, + "waypoint": { + "lat": 36.3208, + "lon": -121.24381, + "name": "Greenfield" + }, + "question": "Is Greenfield approximately on the direct path from Dogondoutchi to Lembang?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11648.4, + "via_waypoint_km": 26112.1, + "detour_km": 14463.6, + "detour_percent": 124.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Dogondoutchi", + " End: Lembang", + " Waypoint: Greenfield", + "Step 2: Calculate direct distance", + " Start → End: 11648.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26112.1 km", + "Step 4: Calculate detour", + " Detour = 26112.1 - 11648.4 = 14463.6 km", + " Detour % = (14463.6 / 11648.4) × 100 = 124.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 124.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.30078, + "lon": -119.78291, + "name": "Lemoore" + }, + "end": { + "lat": 26.16418, + "lon": 32.72671, + "name": "Qina" + }, + "waypoint": { + "lat": 43.13484, + "lon": -2.07801, + "name": "Tolosa" + }, + "question": "Is Tolosa approximately on the direct path from Lemoore to Qina?", + "ground_truth": { + "answer": true, + "direct_distance_km": 12495.2, + "via_waypoint_km": 12830.6, + "detour_km": 335.4, + "detour_percent": 2.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Lemoore", + " End: Qina", + " Waypoint: Tolosa", + "Step 2: Calculate direct distance", + " Start → End: 12495.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12830.6 km", + "Step 4: Calculate detour", + " Detour = 12830.6 - 12495.2 = 335.4 km", + " Detour % = (335.4 / 12495.2) × 100 = 2.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2.7% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.88939, + "lon": -111.88077, + "name": "Bountiful" + }, + "end": { + "lat": 33.83585, + "lon": -118.34063, + "name": "Torrance" + }, + "waypoint": { + "lat": -6.00306, + "lon": -40.29278, + "name": "Tauá" + }, + "question": "Is Tauá approximately on the direct path from Bountiful to Torrance?", + "ground_truth": { + "answer": false, + "direct_distance_km": 969.5, + "via_waypoint_km": 18212.7, + "detour_km": 17243.2, + "detour_percent": 1778.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bountiful", + " End: Torrance", + " Waypoint: Tauá", + "Step 2: Calculate direct distance", + " Start → End: 969.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18212.7 km", + "Step 4: Calculate detour", + " Detour = 18212.7 - 969.5 = 17243.2 km", + " Detour % = (17243.2 / 969.5) × 100 = 1778.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1778.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -26.47306, + "lon": -49.00278, + "name": "Guaramirim" + }, + "end": { + "lat": 42.16808, + "lon": -88.42814, + "name": "Huntley" + }, + "waypoint": { + "lat": 32.36839, + "lon": 75.67819, + "name": "Jugiāl" + }, + "question": "Is Jugiāl approximately on the direct path from Guaramirim to Huntley?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8638.5, + "via_waypoint_km": 26244.7, + "detour_km": 17606.2, + "detour_percent": 203.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Guaramirim", + " End: Huntley", + " Waypoint: Jugiāl", + "Step 2: Calculate direct distance", + " Start → End: 8638.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26244.7 km", + "Step 4: Calculate detour", + " Detour = 26244.7 - 8638.5 = 17606.2 km", + " Detour % = (17606.2 / 8638.5) × 100 = 203.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 203.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 6.18878, + "lon": -5.29463, + "name": "Hiré" + }, + "end": { + "lat": 14.30427, + "lon": 36.60601, + "name": "Himora" + }, + "waypoint": { + "lat": -35.57681, + "lon": -58.01215, + "name": "Chascomús" + }, + "question": "Is Chascomús approximately on the direct path from Hiré to Himora?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4665.3, + "via_waypoint_km": 18533.5, + "detour_km": 13868.2, + "detour_percent": 297.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Hiré", + " End: Himora", + " Waypoint: Chascomús", + "Step 2: Calculate direct distance", + " Start → End: 4665.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18533.5 km", + "Step 4: Calculate detour", + " Detour = 18533.5 - 4665.3 = 13868.2 km", + " Detour % = (13868.2 / 4665.3) × 100 = 297.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 297.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 3.65, + "lon": 10.76667, + "name": "Eséka" + }, + "end": { + "lat": 32.10197, + "lon": 74.87303, + "name": "Narowal" + }, + "waypoint": { + "lat": 11.00555, + "lon": 76.96612, + "name": "Coimbatore" + }, + "question": "Is Coimbatore approximately on the direct path from Eséka to Narowal?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7364.8, + "via_waypoint_km": 9689.3, + "detour_km": 2324.5, + "detour_percent": 31.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Eséka", + " End: Narowal", + " Waypoint: Coimbatore", + "Step 2: Calculate direct distance", + " Start → End: 7364.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9689.3 km", + "Step 4: Calculate detour", + " Detour = 9689.3 - 7364.8 = 2324.5 km", + " Detour % = (2324.5 / 7364.8) × 100 = 31.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 31.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.40072, + "lon": -3.62133, + "name": "Valdebernardo" + }, + "end": { + "lat": 32.82581, + "lon": 70.78107, + "name": "Sarai Naurang" + }, + "waypoint": { + "lat": 5.40375, + "lon": 100.45745, + "name": "Kubang Semang" + }, + "question": "Is Kubang Semang approximately on the direct path from Valdebernardo to Sarai Naurang?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6498.1, + "via_waypoint_km": 15124.5, + "detour_km": 8626.4, + "detour_percent": 132.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Valdebernardo", + " End: Sarai Naurang", + " Waypoint: Kubang Semang", + "Step 2: Calculate direct distance", + " Start → End: 6498.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15124.5 km", + "Step 4: Calculate detour", + " Detour = 15124.5 - 6498.1 = 8626.4 km", + " Detour % = (8626.4 / 6498.1) × 100 = 132.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 132.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 37.38417, + "lon": 14.36921, + "name": "Piazza Armerina" + }, + "end": { + "lat": -26.81298, + "lon": -65.29543, + "name": "Yerba Buena" + }, + "waypoint": { + "lat": 29.96633, + "lon": 74.70025, + "name": "Mandi Dabwāli" + }, + "question": "Is Mandi Dabwāli approximately on the direct path from Piazza Armerina to Yerba Buena?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10945.2, + "via_waypoint_km": 21655.3, + "detour_km": 10710.1, + "detour_percent": 97.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Piazza Armerina", + " End: Yerba Buena", + " Waypoint: Mandi Dabwāli", + "Step 2: Calculate direct distance", + " Start → End: 10945.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21655.3 km", + "Step 4: Calculate detour", + " Detour = 21655.3 - 10945.2 = 10710.1 km", + " Detour % = (10710.1 / 10945.2) × 100 = 97.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 97.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -5.30972, + "lon": -38.92056, + "name": "Banabuiú" + }, + "end": { + "lat": -1.6558, + "lon": 37.37454, + "name": "Kinoi" + }, + "waypoint": { + "lat": 42.64725, + "lon": -8.88459, + "name": "Boiro" + }, + "question": "Is Boiro approximately on the direct path from Banabuiú to Kinoi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8473.4, + "via_waypoint_km": 12887.2, + "detour_km": 4413.8, + "detour_percent": 52.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Banabuiú", + " End: Kinoi", + " Waypoint: Boiro", + "Step 2: Calculate direct distance", + " Start → End: 8473.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12887.2 km", + "Step 4: Calculate detour", + " Detour = 12887.2 - 8473.4 = 4413.8 km", + " Detour % = (4413.8 / 8473.4) × 100 = 52.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 52.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -0.86291, + "lon": 134.06402, + "name": "Manokwari" + }, + "end": { + "lat": 30.62914, + "lon": 31.08235, + "name": "Birkat as Sab‘" + }, + "waypoint": { + "lat": 54.69981, + "lon": 25.18393, + "name": "Pilaitė" + }, + "question": "Is Pilaitė approximately on the direct path from Manokwari to Birkat as Sab‘?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11296.6, + "via_waypoint_km": 14002.9, + "detour_km": 2706.4, + "detour_percent": 24.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Manokwari", + " End: Birkat as Sab‘", + " Waypoint: Pilaitė", + "Step 2: Calculate direct distance", + " Start → End: 11296.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14002.9 km", + "Step 4: Calculate detour", + " Detour = 14002.9 - 11296.6 = 2706.4 km", + " Detour % = (2706.4 / 11296.6) × 100 = 24.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 24.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 43.49258, + "lon": -70.45338, + "name": "Biddeford" + }, + "end": { + "lat": 6.49224, + "lon": -6.58558, + "name": "Issia" + }, + "waypoint": { + "lat": -31.395, + "lon": -52.67556, + "name": "Canguçu" + }, + "question": "Is Canguçu approximately on the direct path from Biddeford to Issia?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7418.4, + "via_waypoint_km": 14975.5, + "detour_km": 7557.1, + "detour_percent": 101.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Biddeford", + " End: Issia", + " Waypoint: Canguçu", + "Step 2: Calculate direct distance", + " Start → End: 7418.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14975.5 km", + "Step 4: Calculate detour", + " Detour = 14975.5 - 7418.4 = 7557.1 km", + " Detour % = (7557.1 / 7418.4) × 100 = 101.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 101.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -32.35671, + "lon": 22.58295, + "name": "Beaufort West" + }, + "end": { + "lat": 5.37568, + "lon": 10.41326, + "name": "Bandjoun" + }, + "waypoint": { + "lat": 52.17941, + "lon": 20.94612, + "name": "Włochy" + }, + "question": "Is Włochy approximately on the direct path from Beaufort West to Bandjoun?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4388.7, + "via_waypoint_km": 14695.0, + "detour_km": 10306.3, + "detour_percent": 234.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Beaufort West", + " End: Bandjoun", + " Waypoint: Włochy", + "Step 2: Calculate direct distance", + " Start → End: 4388.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14695.0 km", + "Step 4: Calculate detour", + " Detour = 14695.0 - 4388.7 = 10306.3 km", + " Detour % = (10306.3 / 4388.7) × 100 = 234.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 234.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 30.56029, + "lon": 77.29426, + "name": "Nāhan" + }, + "end": { + "lat": 22.7152, + "lon": 99.80715, + "name": "Zhutang" + }, + "waypoint": { + "lat": -10.26667, + "lon": 40.18333, + "name": "Mtwara" + }, + "question": "Is Mtwara approximately on the direct path from Nāhan to Zhutang?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2396.0, + "via_waypoint_km": 13479.8, + "detour_km": 11083.8, + "detour_percent": 462.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Nāhan", + " End: Zhutang", + " Waypoint: Mtwara", + "Step 2: Calculate direct distance", + " Start → End: 2396.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13479.8 km", + "Step 4: Calculate detour", + " Detour = 13479.8 - 2396.0 = 11083.8 km", + " Detour % = (11083.8 / 2396.0) × 100 = 462.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 462.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 21.99317, + "lon": 72.87047, + "name": "Amod" + }, + "end": { + "lat": 24.87544, + "lon": 85.53369, + "name": "Bhadauni" + }, + "waypoint": { + "lat": 7.32765, + "lon": 13.58472, + "name": "Ngaoundéré" + }, + "question": "Is Ngaoundéré approximately on the direct path from Amod to Bhadauni?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1330.5, + "via_waypoint_km": 14390.6, + "detour_km": 13060.1, + "detour_percent": 981.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Amod", + " End: Bhadauni", + " Waypoint: Ngaoundéré", + "Step 2: Calculate direct distance", + " Start → End: 1330.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14390.6 km", + "Step 4: Calculate detour", + " Detour = 14390.6 - 1330.5 = 13060.1 km", + " Detour % = (13060.1 / 1330.5) × 100 = 981.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 981.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 48.06598, + "lon": 11.61564, + "name": "Unterhaching" + }, + "end": { + "lat": 9.68444, + "lon": 76.33558, + "name": "Cherthala" + }, + "waypoint": { + "lat": 38.31408, + "lon": 69.03784, + "name": "Yovon" + }, + "question": "Is Yovon approximately on the direct path from Unterhaching to Cherthala?", + "ground_truth": { + "answer": true, + "direct_distance_km": 7340.8, + "via_waypoint_km": 7932.3, + "detour_km": 591.5, + "detour_percent": 8.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Unterhaching", + " End: Cherthala", + " Waypoint: Yovon", + "Step 2: Calculate direct distance", + " Start → End: 7340.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 7932.3 km", + "Step 4: Calculate detour", + " Detour = 7932.3 - 7340.8 = 591.5 km", + " Detour % = (591.5 / 7340.8) × 100 = 8.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 8.1% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 49.9169, + "lon": 18.33619, + "name": "Starý Bohumín" + }, + "end": { + "lat": -11.71139, + "lon": -40.14889, + "name": "Mairi" + }, + "waypoint": { + "lat": 14.67889, + "lon": 120.26611, + "name": "Morong" + }, + "question": "Is Morong approximately on the direct path from Starý Bohumín to Mairi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8891.6, + "via_waypoint_km": 27462.5, + "detour_km": 18570.9, + "detour_percent": 208.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Starý Bohumín", + " End: Mairi", + " Waypoint: Morong", + "Step 2: Calculate direct distance", + " Start → End: 8891.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27462.5 km", + "Step 4: Calculate detour", + " Detour = 27462.5 - 8891.6 = 18570.9 km", + " Detour % = (18570.9 / 8891.6) × 100 = 208.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 208.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -23.46013, + "lon": -46.5749, + "name": "Jaçanã" + }, + "end": { + "lat": 38.07438, + "lon": 23.81106, + "name": "Kifisiá" + }, + "waypoint": { + "lat": 43.56491, + "lon": 27.83138, + "name": "Dobrich" + }, + "question": "Is Dobrich approximately on the direct path from Jaçanã to Kifisiá?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10027.3, + "via_waypoint_km": 11315.9, + "detour_km": 1288.6, + "detour_percent": 12.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Jaçanã", + " End: Kifisiá", + " Waypoint: Dobrich", + "Step 2: Calculate direct distance", + " Start → End: 10027.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11315.9 km", + "Step 4: Calculate detour", + " Detour = 11315.9 - 10027.3 = 1288.6 km", + " Detour % = (1288.6 / 10027.3) × 100 = 12.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 12.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 53.09787, + "lon": -2.44161, + "name": "Crewe" + }, + "end": { + "lat": 4.39462, + "lon": -76.0715, + "name": "Zarzal" + }, + "waypoint": { + "lat": 38.37255, + "lon": 34.02537, + "name": "Aksaray" + }, + "question": "Is Aksaray approximately on the direct path from Crewe to Zarzal?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8528.9, + "via_waypoint_km": 14647.3, + "detour_km": 6118.4, + "detour_percent": 71.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Crewe", + " End: Zarzal", + " Waypoint: Aksaray", + "Step 2: Calculate direct distance", + " Start → End: 8528.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14647.3 km", + "Step 4: Calculate detour", + " Detour = 14647.3 - 8528.9 = 6118.4 km", + " Detour % = (6118.4 / 8528.9) × 100 = 71.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 71.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -34.71716, + "lon": -55.9584, + "name": "Pando" + }, + "end": { + "lat": -22.39028, + "lon": -44.96667, + "name": "Passa Quatro" + }, + "waypoint": { + "lat": 23.41022, + "lon": 78.22082, + "name": "Gairtganj" + }, + "question": "Is Gairtganj approximately on the direct path from Pando to Passa Quatro?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1738.4, + "via_waypoint_km": 29663.5, + "detour_km": 27925.1, + "detour_percent": 1606.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Pando", + " End: Passa Quatro", + " Waypoint: Gairtganj", + "Step 2: Calculate direct distance", + " Start → End: 1738.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 29663.5 km", + "Step 4: Calculate detour", + " Detour = 29663.5 - 1738.4 = 27925.1 km", + " Detour % = (27925.1 / 1738.4) × 100 = 1606.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1606.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -0.98169, + "lon": 36.58642, + "name": "Mai" + }, + "end": { + "lat": 38.54491, + "lon": -121.74052, + "name": "Davis" + }, + "waypoint": { + "lat": 50.21773, + "lon": 8.26679, + "name": "Idstein" + }, + "question": "Is Idstein approximately on the direct path from Mai to Davis?", + "ground_truth": { + "answer": true, + "direct_distance_km": 15290.4, + "via_waypoint_km": 15299.3, + "detour_km": 8.9, + "detour_percent": 0.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mai", + " End: Davis", + " Waypoint: Idstein", + "Step 2: Calculate direct distance", + " Start → End: 15290.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15299.3 km", + "Step 4: Calculate detour", + " Detour = 15299.3 - 15290.4 = 8.9 km", + " Detour % = (8.9 / 15290.4) × 100 = 0.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.1% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.42788, + "lon": -74.41598, + "name": "East Brunswick" + }, + "end": { + "lat": 49.2, + "lon": 119.7, + "name": "Hailar" + }, + "waypoint": { + "lat": 9.39182, + "lon": -70.59061, + "name": "Motatán" + }, + "question": "Is Motatán approximately on the direct path from East Brunswick to Hailar?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9953.2, + "via_waypoint_km": 16894.5, + "detour_km": 6941.3, + "detour_percent": 69.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: East Brunswick", + " End: Hailar", + " Waypoint: Motatán", + "Step 2: Calculate direct distance", + " Start → End: 9953.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16894.5 km", + "Step 4: Calculate detour", + " Detour = 16894.5 - 9953.2 = 6941.3 km", + " Detour % = (6941.3 / 9953.2) × 100 = 69.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 69.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 34.36861, + "lon": 117.115, + "name": "Liuxin" + }, + "end": { + "lat": -1.19347, + "lon": 34.61967, + "name": "Kihancha" + }, + "waypoint": { + "lat": 40.67705, + "lon": -73.89125, + "name": "Cypress Hills" + }, + "question": "Is Cypress Hills approximately on the direct path from Liuxin to Kihancha?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9394.8, + "via_waypoint_km": 23240.3, + "detour_km": 13845.5, + "detour_percent": 147.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Liuxin", + " End: Kihancha", + " Waypoint: Cypress Hills", + "Step 2: Calculate direct distance", + " Start → End: 9394.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23240.3 km", + "Step 4: Calculate detour", + " Detour = 23240.3 - 9394.8 = 13845.5 km", + " Detour % = (13845.5 / 9394.8) × 100 = 147.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 147.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 41.75338, + "lon": -86.11084, + "name": "Granger" + }, + "end": { + "lat": 8.28903, + "lon": 77.10799, + "name": "Kollancode" + }, + "waypoint": { + "lat": 43.9298, + "lon": 2.148, + "name": "Albi" + }, + "question": "Is Albi approximately on the direct path from Granger to Kollancode?", + "ground_truth": { + "answer": true, + "direct_distance_km": 14193.6, + "via_waypoint_km": 14996.6, + "detour_km": 803.0, + "detour_percent": 5.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Granger", + " End: Kollancode", + " Waypoint: Albi", + "Step 2: Calculate direct distance", + " Start → End: 14193.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14996.6 km", + "Step 4: Calculate detour", + " Detour = 14996.6 - 14193.6 = 803.0 km", + " Detour % = (803.0 / 14193.6) × 100 = 5.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 5.7% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 41.55947, + "lon": 14.66737, + "name": "Campobasso" + }, + "end": { + "lat": -28.21344, + "lon": -49.16383, + "name": "São José" + }, + "waypoint": { + "lat": 35.23417, + "lon": 128.88111, + "name": "Kimhae" + }, + "question": "Is Kimhae approximately on the direct path from Campobasso to São José?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10153.0, + "via_waypoint_km": 28376.6, + "detour_km": 18223.6, + "detour_percent": 179.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Campobasso", + " End: São José", + " Waypoint: Kimhae", + "Step 2: Calculate direct distance", + " Start → End: 10153.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 28376.6 km", + "Step 4: Calculate detour", + " Detour = 28376.6 - 10153.0 = 18223.6 km", + " Detour % = (18223.6 / 10153.0) × 100 = 179.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 179.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -6.22977, + "lon": 155.56598, + "name": "Arawa" + }, + "end": { + "lat": 35.98284, + "lon": -86.5186, + "name": "Smyrna" + }, + "waypoint": { + "lat": 23.56651, + "lon": 76.47306, + "name": "Sārangpur" + }, + "question": "Is Sārangpur approximately on the direct path from Arawa to Smyrna?", + "ground_truth": { + "answer": false, + "direct_distance_km": 12912.7, + "via_waypoint_km": 22339.5, + "detour_km": 9426.8, + "detour_percent": 73.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Arawa", + " End: Smyrna", + " Waypoint: Sārangpur", + "Step 2: Calculate direct distance", + " Start → End: 12912.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22339.5 km", + "Step 4: Calculate detour", + " Detour = 22339.5 - 12912.7 = 9426.8 km", + " Detour % = (9426.8 / 12912.7) × 100 = 73.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 73.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 14.20711, + "lon": 1.45418, + "name": "Tillabéri" + }, + "end": { + "lat": 34.51389, + "lon": 117.85278, + "name": "Daizhuang" + }, + "waypoint": { + "lat": 42.97086, + "lon": -82.42491, + "name": "Port Huron" + }, + "question": "Is Port Huron approximately on the direct path from Tillabéri to Daizhuang?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11395.2, + "via_waypoint_km": 19600.5, + "detour_km": 8205.3, + "detour_percent": 72.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tillabéri", + " End: Daizhuang", + " Waypoint: Port Huron", + "Step 2: Calculate direct distance", + " Start → End: 11395.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19600.5 km", + "Step 4: Calculate detour", + " Detour = 19600.5 - 11395.2 = 8205.3 km", + " Detour % = (8205.3 / 11395.2) × 100 = 72.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 72.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.90425, + "lon": 10.42766, + "name": "Goslar" + }, + "end": { + "lat": 33.74585, + "lon": -117.82617, + "name": "Tustin" + }, + "waypoint": { + "lat": -23.07306, + "lon": -52.46528, + "name": "Paranavaí" + }, + "question": "Is Paranavaí approximately on the direct path from Goslar to Tustin?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9244.1, + "via_waypoint_km": 19686.4, + "detour_km": 10442.3, + "detour_percent": 113.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Goslar", + " End: Tustin", + " Waypoint: Paranavaí", + "Step 2: Calculate direct distance", + " Start → End: 9244.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19686.4 km", + "Step 4: Calculate detour", + " Detour = 19686.4 - 9244.1 = 10442.3 km", + " Detour % = (10442.3 / 9244.1) × 100 = 113.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 113.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -14.90033, + "lon": 50.27876, + "name": "Antalaha" + }, + "end": { + "lat": 27.80058, + "lon": -97.39638, + "name": "Corpus Christi" + }, + "waypoint": { + "lat": -26.68443, + "lon": 153.05705, + "name": "Buderim" + }, + "question": "Is Buderim approximately on the direct path from Antalaha to Corpus Christi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 16388.2, + "via_waypoint_km": 23641.9, + "detour_km": 7253.7, + "detour_percent": 44.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Antalaha", + " End: Corpus Christi", + " Waypoint: Buderim", + "Step 2: Calculate direct distance", + " Start → End: 16388.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23641.9 km", + "Step 4: Calculate detour", + " Detour = 23641.9 - 16388.2 = 7253.7 km", + " Detour % = (7253.7 / 16388.2) × 100 = 44.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 44.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 35.8609, + "lon": 10.60313, + "name": "Hammam Sousse" + }, + "end": { + "lat": -16.91667, + "lon": 49.58333, + "name": "Soanierana Ivongo" + }, + "waypoint": { + "lat": -23.84852, + "lon": 151.25775, + "name": "Gladstone" + }, + "question": "Is Gladstone approximately on the direct path from Hammam Sousse to Soanierana Ivongo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7159.5, + "via_waypoint_km": 26410.0, + "detour_km": 19250.5, + "detour_percent": 268.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Hammam Sousse", + " End: Soanierana Ivongo", + " Waypoint: Gladstone", + "Step 2: Calculate direct distance", + " Start → End: 7159.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26410.0 km", + "Step 4: Calculate detour", + " Detour = 26410.0 - 7159.5 = 19250.5 km", + " Detour % = (19250.5 / 7159.5) × 100 = 268.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 268.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 28.30772, + "lon": 78.93678, + "name": "Bisauli" + }, + "end": { + "lat": 9.90371, + "lon": -83.68361, + "name": "Turrialba" + }, + "waypoint": { + "lat": 6.1162, + "lon": -6.53603, + "name": "Grand-Zattry" + }, + "question": "Is Grand-Zattry approximately on the direct path from Bisauli to Turrialba?", + "ground_truth": { + "answer": false, + "direct_distance_km": 15373.5, + "via_waypoint_km": 17731.9, + "detour_km": 2358.5, + "detour_percent": 15.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bisauli", + " End: Turrialba", + " Waypoint: Grand-Zattry", + "Step 2: Calculate direct distance", + " Start → End: 15373.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17731.9 km", + "Step 4: Calculate detour", + " Detour = 17731.9 - 15373.5 = 2358.5 km", + " Detour % = (2358.5 / 15373.5) × 100 = 15.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 15.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -2.15222, + "lon": -56.09222, + "name": "Juruti" + }, + "end": { + "lat": 46.62472, + "lon": 31.10182, + "name": "Pivdenne" + }, + "waypoint": { + "lat": 44.73941, + "lon": -93.12577, + "name": "Rosemount" + }, + "question": "Is Rosemount approximately on the direct path from Juruti to Pivdenne?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9967.4, + "via_waypoint_km": 14853.3, + "detour_km": 4885.9, + "detour_percent": 49.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Juruti", + " End: Pivdenne", + " Waypoint: Rosemount", + "Step 2: Calculate direct distance", + " Start → End: 9967.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14853.3 km", + "Step 4: Calculate detour", + " Detour = 14853.3 - 9967.4 = 4885.9 km", + " Detour % = (4885.9 / 9967.4) × 100 = 49.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 49.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 47.91127, + "lon": 1.86483, + "name": "Saint-Jean-de-la-Ruelle" + }, + "end": { + "lat": 9.88333, + "lon": 36.61667, + "name": "Āyana" + }, + "waypoint": { + "lat": 14.2325, + "lon": 121.3648, + "name": "Pila" + }, + "question": "Is Pila approximately on the direct path from Saint-Jean-de-la-Ruelle to Āyana?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5330.5, + "via_waypoint_km": 20065.7, + "detour_km": 14735.2, + "detour_percent": 276.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Saint-Jean-de-la-Ruelle", + " End: Āyana", + " Waypoint: Pila", + "Step 2: Calculate direct distance", + " Start → End: 5330.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20065.7 km", + "Step 4: Calculate detour", + " Detour = 20065.7 - 5330.5 = 14735.2 km", + " Detour % = (14735.2 / 5330.5) × 100 = 276.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 276.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 9.58144, + "lon": -69.23851, + "name": "Araure" + }, + "end": { + "lat": -17.35111, + "lon": -44.96222, + "name": "Buritizeiro" + }, + "waypoint": { + "lat": 10.53646, + "lon": 76.98034, + "name": "Kottur" + }, + "question": "Is Kottur approximately on the direct path from Araure to Buritizeiro?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4010.6, + "via_waypoint_km": 29385.5, + "detour_km": 25374.9, + "detour_percent": 632.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Araure", + " End: Buritizeiro", + " Waypoint: Kottur", + "Step 2: Calculate direct distance", + " Start → End: 4010.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 29385.5 km", + "Step 4: Calculate detour", + " Detour = 29385.5 - 4010.6 = 25374.9 km", + " Detour % = (25374.9 / 4010.6) × 100 = 632.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 632.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 38.74422, + "lon": -90.30539, + "name": "Ferguson" + }, + "end": { + "lat": 38.9258, + "lon": -77.40156, + "name": "Oak Hill" + }, + "waypoint": { + "lat": -10.66577, + "lon": -76.25309, + "name": "Cerro de Pasco" + }, + "question": "Is Cerro de Pasco approximately on the direct path from Ferguson to Oak Hill?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1116.9, + "via_waypoint_km": 11199.8, + "detour_km": 10082.9, + "detour_percent": 902.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ferguson", + " End: Oak Hill", + " Waypoint: Cerro de Pasco", + "Step 2: Calculate direct distance", + " Start → End: 1116.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11199.8 km", + "Step 4: Calculate detour", + " Detour = 11199.8 - 1116.9 = 10082.9 km", + " Detour % = (10082.9 / 1116.9) × 100 = 902.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 902.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 12.72543, + "lon": 101.05531, + "name": "Ban Chang" + }, + "end": { + "lat": 11.91445, + "lon": -86.14458, + "name": "Masatepe" + }, + "waypoint": { + "lat": 22.10475, + "lon": -79.72141, + "name": "Fomento" + }, + "question": "Is Fomento approximately on the direct path from Ban Chang to Masatepe?", + "ground_truth": { + "answer": true, + "direct_distance_km": 17162.4, + "via_waypoint_km": 17463.6, + "detour_km": 301.2, + "detour_percent": 1.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ban Chang", + " End: Masatepe", + " Waypoint: Fomento", + "Step 2: Calculate direct distance", + " Start → End: 17162.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17463.6 km", + "Step 4: Calculate detour", + " Detour = 17463.6 - 17162.4 = 301.2 km", + " Detour % = (301.2 / 17162.4) × 100 = 1.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1.8% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 9.53921, + "lon": 78.09843, + "name": "Pālaiyampatti" + }, + "end": { + "lat": 10.16756, + "lon": 12.73684, + "name": "Gombi" + }, + "waypoint": { + "lat": -7.23417, + "lon": -39.40944, + "name": "Crato" + }, + "question": "Is Crato approximately on the direct path from Pālaiyampatti to Gombi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7148.0, + "via_waypoint_km": 19233.8, + "detour_km": 12085.8, + "detour_percent": 169.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Pālaiyampatti", + " End: Gombi", + " Waypoint: Crato", + "Step 2: Calculate direct distance", + " Start → End: 7148.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19233.8 km", + "Step 4: Calculate detour", + " Detour = 19233.8 - 7148.0 = 12085.8 km", + " Detour % = (12085.8 / 7148.0) × 100 = 169.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 169.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -20.84889, + "lon": -41.11278, + "name": "Cachoeiro de Itapemirim" + }, + "end": { + "lat": -27.35364, + "lon": 152.96848, + "name": "Albany Creek" + }, + "waypoint": { + "lat": 39.46588, + "lon": -0.42589, + "name": "Xirivella" + }, + "question": "Is Xirivella approximately on the direct path from Cachoeiro de Itapemirim to Albany Creek?", + "ground_truth": { + "answer": false, + "direct_distance_km": 14445.1, + "via_waypoint_km": 25144.2, + "detour_km": 10699.0, + "detour_percent": 74.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Cachoeiro de Itapemirim", + " End: Albany Creek", + " Waypoint: Xirivella", + "Step 2: Calculate direct distance", + " Start → End: 14445.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25144.2 km", + "Step 4: Calculate detour", + " Detour = 25144.2 - 14445.1 = 10699.0 km", + " Detour % = (10699.0 / 14445.1) × 100 = 74.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 74.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 37.92259, + "lon": 139.04125, + "name": "Niigata" + }, + "end": { + "lat": 49.97143, + "lon": 82.60586, + "name": "Ust-Kamenogorsk" + }, + "waypoint": { + "lat": -21.77389, + "lon": -47.08639, + "name": "Casa Branca" + }, + "question": "Is Casa Branca approximately on the direct path from Niigata to Ust-Kamenogorsk?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4593.8, + "via_waypoint_km": 32772.6, + "detour_km": 28178.9, + "detour_percent": 613.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Niigata", + " End: Ust-Kamenogorsk", + " Waypoint: Casa Branca", + "Step 2: Calculate direct distance", + " Start → End: 4593.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 32772.6 km", + "Step 4: Calculate detour", + " Detour = 32772.6 - 4593.8 = 28178.9 km", + " Detour % = (28178.9 / 4593.8) × 100 = 613.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 613.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 48.19571, + "lon": 16.35215, + "name": "Mariahilf" + }, + "end": { + "lat": 50.08809, + "lon": 20.02786, + "name": "Bieńczyce" + }, + "waypoint": { + "lat": -33.80342, + "lon": 19.88537, + "name": "Robertson" + }, + "question": "Is Robertson approximately on the direct path from Mariahilf to Bieńczyce?", + "ground_truth": { + "answer": false, + "direct_distance_km": 340.2, + "via_waypoint_km": 18453.0, + "detour_km": 18112.8, + "detour_percent": 5324.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mariahilf", + " End: Bieńczyce", + " Waypoint: Robertson", + "Step 2: Calculate direct distance", + " Start → End: 340.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18453.0 km", + "Step 4: Calculate detour", + " Detour = 18453.0 - 340.2 = 18112.8 km", + " Detour % = (18112.8 / 340.2) × 100 = 5324.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 5324.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 12.46399, + "lon": 79.3484, + "name": "Chetput" + }, + "end": { + "lat": 38.83494, + "lon": -90.28511, + "name": "Old Jamestown" + }, + "waypoint": { + "lat": 45.07073, + "lon": 7.51465, + "name": "Rivoli" + }, + "question": "Is Rivoli approximately on the direct path from Chetput to Old Jamestown?", + "ground_truth": { + "answer": true, + "direct_distance_km": 14210.2, + "via_waypoint_km": 15205.6, + "detour_km": 995.5, + "detour_percent": 7.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Chetput", + " End: Old Jamestown", + " Waypoint: Rivoli", + "Step 2: Calculate direct distance", + " Start → End: 14210.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15205.6 km", + "Step 4: Calculate detour", + " Detour = 15205.6 - 14210.2 = 995.5 km", + " Detour % = (995.5 / 14210.2) × 100 = 7.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 7.0% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 31.20659, + "lon": 110.08679, + "name": "Luoping" + }, + "end": { + "lat": -26.20227, + "lon": 28.04363, + "name": "Johannesburg" + }, + "waypoint": { + "lat": -22.78889, + "lon": -50.2175, + "name": "Palmital" + }, + "question": "Is Palmital approximately on the direct path from Luoping to Johannesburg?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10790.2, + "via_waypoint_km": 25657.4, + "detour_km": 14867.2, + "detour_percent": 137.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Luoping", + " End: Johannesburg", + " Waypoint: Palmital", + "Step 2: Calculate direct distance", + " Start → End: 10790.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25657.4 km", + "Step 4: Calculate detour", + " Detour = 25657.4 - 10790.2 = 14867.2 km", + " Detour % = (14867.2 / 10790.2) × 100 = 137.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 137.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -21.53194, + "lon": -42.64306, + "name": "Leopoldina" + }, + "end": { + "lat": 0.6975, + "lon": 32.02861, + "name": "Bukomero" + }, + "waypoint": { + "lat": -4.36667, + "lon": 34.2, + "name": "Shelui" + }, + "question": "Is Shelui approximately on the direct path from Leopoldina to Bukomero?", + "ground_truth": { + "answer": true, + "direct_distance_km": 8454.1, + "via_waypoint_km": 9082.2, + "detour_km": 628.0, + "detour_percent": 7.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Leopoldina", + " End: Bukomero", + " Waypoint: Shelui", + "Step 2: Calculate direct distance", + " Start → End: 8454.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9082.2 km", + "Step 4: Calculate detour", + " Detour = 9082.2 - 8454.1 = 628.0 km", + " Detour % = (628.0 / 8454.1) × 100 = 7.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 7.4% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -25.59912, + "lon": -54.57355, + "name": "Puerto Iguazú" + }, + "end": { + "lat": -24.50944, + "lon": -48.8425, + "name": "Apiaí" + }, + "waypoint": { + "lat": 55.39563, + "lon": 43.8381, + "name": "Arzamas" + }, + "question": "Is Arzamas approximately on the direct path from Puerto Iguazú to Apiaí?", + "ground_truth": { + "answer": false, + "direct_distance_km": 589.8, + "via_waypoint_km": 25235.5, + "detour_km": 24645.7, + "detour_percent": 4178.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Puerto Iguazú", + " End: Apiaí", + " Waypoint: Arzamas", + "Step 2: Calculate direct distance", + " Start → End: 589.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25235.5 km", + "Step 4: Calculate detour", + " Detour = 25235.5 - 589.8 = 24645.7 km", + " Detour % = (24645.7 / 589.8) × 100 = 4178.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 4178.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -1.74639, + "lon": -47.05944, + "name": "Capitão Poço" + }, + "end": { + "lat": 56.26792, + "lon": 90.50145, + "name": "Achinsk" + }, + "waypoint": { + "lat": 30.19327, + "lon": 31.13703, + "name": "Al Qanāţir al Khayrīyah" + }, + "question": "Is Al Qanāţir al Khayrīyah approximately on the direct path from Capitão Poço to Achinsk?", + "ground_truth": { + "answer": false, + "direct_distance_km": 12874.5, + "via_waypoint_km": 14365.9, + "detour_km": 1491.4, + "detour_percent": 11.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Capitão Poço", + " End: Achinsk", + " Waypoint: Al Qanāţir al Khayrīyah", + "Step 2: Calculate direct distance", + " Start → End: 12874.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14365.9 km", + "Step 4: Calculate detour", + " Detour = 14365.9 - 12874.5 = 1491.4 km", + " Detour % = (1491.4 / 12874.5) × 100 = 11.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 11.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 11.75618, + "lon": 9.33896, + "name": "Dutse" + }, + "end": { + "lat": 6.76229, + "lon": -6.8638, + "name": "Zoukougbeu" + }, + "waypoint": { + "lat": 36.11986, + "lon": -80.07365, + "name": "Kernersville" + }, + "question": "Is Kernersville approximately on the direct path from Dutse to Zoukougbeu?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1862.1, + "via_waypoint_km": 17247.2, + "detour_km": 15385.1, + "detour_percent": 826.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Dutse", + " End: Zoukougbeu", + " Waypoint: Kernersville", + "Step 2: Calculate direct distance", + " Start → End: 1862.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17247.2 km", + "Step 4: Calculate detour", + " Detour = 17247.2 - 1862.1 = 15385.1 km", + " Detour % = (15385.1 / 1862.1) × 100 = 826.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 826.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.25, + "lon": 138.98333, + "name": "Yoshii" + }, + "end": { + "lat": 23.96639, + "lon": 120.96952, + "name": "Puli" + }, + "waypoint": { + "lat": 26.59034, + "lon": 12.77511, + "name": "Ubari" + }, + "question": "Is Ubari approximately on the direct path from Yoshii to Puli?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2199.7, + "via_waypoint_km": 21514.9, + "detour_km": 19315.2, + "detour_percent": 878.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Yoshii", + " End: Puli", + " Waypoint: Ubari", + "Step 2: Calculate direct distance", + " Start → End: 2199.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21514.9 km", + "Step 4: Calculate detour", + " Detour = 21514.9 - 2199.7 = 19315.2 km", + " Detour % = (19315.2 / 2199.7) × 100 = 878.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 878.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 34.69508, + "lon": 40.83138, + "name": "Hajīn" + }, + "end": { + "lat": 42.12753, + "lon": -87.82895, + "name": "Northbrook" + }, + "waypoint": { + "lat": -22.57316, + "lon": -44.97108, + "name": "Cruzeiro" + }, + "question": "Is Cruzeiro approximately on the direct path from Hajīn to Northbrook?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10001.9, + "via_waypoint_km": 19483.9, + "detour_km": 9482.0, + "detour_percent": 94.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Hajīn", + " End: Northbrook", + " Waypoint: Cruzeiro", + "Step 2: Calculate direct distance", + " Start → End: 10001.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19483.9 km", + "Step 4: Calculate detour", + " Detour = 19483.9 - 10001.9 = 9482.0 km", + " Detour % = (9482.0 / 10001.9) × 100 = 94.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 94.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 48.9193, + "lon": 2.54305, + "name": "Livry-Gargan" + }, + "end": { + "lat": 56.57665, + "lon": 104.12968, + "name": "Zheleznogorsk-Ilimskiy" + }, + "waypoint": { + "lat": 25.92539, + "lon": 68.6228, + "name": "Shahdadpur" + }, + "question": "Is Shahdadpur approximately on the direct path from Livry-Gargan to Zheleznogorsk-Ilimskiy?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6248.1, + "via_waypoint_km": 10576.6, + "detour_km": 4328.4, + "detour_percent": 69.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Livry-Gargan", + " End: Zheleznogorsk-Ilimskiy", + " Waypoint: Shahdadpur", + "Step 2: Calculate direct distance", + " Start → End: 6248.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10576.6 km", + "Step 4: Calculate detour", + " Detour = 10576.6 - 6248.1 = 4328.4 km", + " Detour % = (4328.4 / 6248.1) × 100 = 69.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 69.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 24.97916, + "lon": 32.87722, + "name": "Edfu" + }, + "end": { + "lat": -28.21298, + "lon": 153.53634, + "name": "Banora Point" + }, + "waypoint": { + "lat": 19.20264, + "lon": -99.14193, + "name": "San Miguel Topilejo" + }, + "question": "Is San Miguel Topilejo approximately on the direct path from Edfu to Banora Point?", + "ground_truth": { + "answer": false, + "direct_distance_km": 14162.8, + "via_waypoint_km": 25520.4, + "detour_km": 11357.6, + "detour_percent": 80.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Edfu", + " End: Banora Point", + " Waypoint: San Miguel Topilejo", + "Step 2: Calculate direct distance", + " Start → End: 14162.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25520.4 km", + "Step 4: Calculate detour", + " Detour = 25520.4 - 14162.8 = 11357.6 km", + " Detour % = (11357.6 / 14162.8) × 100 = 80.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 80.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -33.73333, + "lon": 150.88333, + "name": "Quakers Hill" + }, + "end": { + "lat": -36.12179, + "lon": 146.88809, + "name": "Wodonga" + }, + "waypoint": { + "lat": 40.51411, + "lon": -112.03299, + "name": "Herriman" + }, + "question": "Is Herriman approximately on the direct path from Quakers Hill to Wodonga?", + "ground_truth": { + "answer": false, + "direct_distance_km": 450.7, + "via_waypoint_km": 26251.7, + "detour_km": 25801.0, + "detour_percent": 5724.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Quakers Hill", + " End: Wodonga", + " Waypoint: Herriman", + "Step 2: Calculate direct distance", + " Start → End: 450.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26251.7 km", + "Step 4: Calculate detour", + " Detour = 26251.7 - 450.7 = 25801.0 km", + " Detour % = (25801.0 / 450.7) × 100 = 5724.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 5724.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -3.73222, + "lon": -40.99167, + "name": "Tianguá" + }, + "end": { + "lat": 25.0321, + "lon": -111.66256, + "name": "Ciudad Constitución" + }, + "waypoint": { + "lat": 6.919, + "lon": 37.529, + "name": "Bale Hawassa" + }, + "question": "Is Bale Hawassa approximately on the direct path from Tianguá to Ciudad Constitución?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8254.3, + "via_waypoint_km": 23937.2, + "detour_km": 15682.8, + "detour_percent": 190.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tianguá", + " End: Ciudad Constitución", + " Waypoint: Bale Hawassa", + "Step 2: Calculate direct distance", + " Start → End: 8254.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23937.2 km", + "Step 4: Calculate detour", + " Detour = 23937.2 - 8254.3 = 15682.8 km", + " Detour % = (15682.8 / 8254.3) × 100 = 190.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 190.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 47.48919, + "lon": 19.07012, + "name": "Budapest VIII. kerület" + }, + "end": { + "lat": 22.71667, + "lon": 70.28333, + "name": "Jodiya Bandar" + }, + "waypoint": { + "lat": 34.03374, + "lon": 72.48176, + "name": "Musa Banda/Musa khan kallay" + }, + "question": "Is Musa Banda/Musa khan kallay approximately on the direct path from Budapest VIII. kerület to Jodiya Bandar?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5285.8, + "via_waypoint_km": 5916.1, + "detour_km": 630.3, + "detour_percent": 11.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Budapest VIII. kerület", + " End: Jodiya Bandar", + " Waypoint: Musa Banda/Musa khan kallay", + "Step 2: Calculate direct distance", + " Start → End: 5285.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 5916.1 km", + "Step 4: Calculate detour", + " Detour = 5916.1 - 5285.8 = 630.3 km", + " Detour % = (630.3 / 5285.8) × 100 = 11.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 11.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -5.1075, + "lon": -36.32028, + "name": "Guamaré" + }, + "end": { + "lat": 4.279, + "lon": 21.00284, + "name": "Gbadolite" + }, + "waypoint": { + "lat": 44.87058, + "lon": 38.15759, + "name": "Abinsk" + }, + "question": "Is Abinsk approximately on the direct path from Guamaré to Gbadolite?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6451.6, + "via_waypoint_km": 14015.4, + "detour_km": 7563.8, + "detour_percent": 117.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Guamaré", + " End: Gbadolite", + " Waypoint: Abinsk", + "Step 2: Calculate direct distance", + " Start → End: 6451.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14015.4 km", + "Step 4: Calculate detour", + " Detour = 14015.4 - 6451.6 = 7563.8 km", + " Detour % = (7563.8 / 6451.6) × 100 = 117.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 117.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 45.76637, + "lon": 5.00277, + "name": "Meyzieu" + }, + "end": { + "lat": 14.70802, + "lon": 101.41614, + "name": "Pak Chong" + }, + "waypoint": { + "lat": 22.57817, + "lon": 100.26925, + "name": "Nuozhadu" + }, + "question": "Is Nuozhadu approximately on the direct path from Meyzieu to Pak Chong?", + "ground_truth": { + "answer": true, + "direct_distance_km": 9327.4, + "via_waypoint_km": 9504.1, + "detour_km": 176.6, + "detour_percent": 1.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Meyzieu", + " End: Pak Chong", + " Waypoint: Nuozhadu", + "Step 2: Calculate direct distance", + " Start → End: 9327.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9504.1 km", + "Step 4: Calculate detour", + " Detour = 9504.1 - 9327.4 = 176.6 km", + " Detour % = (176.6 / 9327.4) × 100 = 1.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1.9% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 38.95627, + "lon": -5.86162, + "name": "Don Benito" + }, + "end": { + "lat": 20.03421, + "lon": 110.34651, + "name": "Haikou" + }, + "waypoint": { + "lat": 23.6303, + "lon": 85.52156, + "name": "Rāmgarh" + }, + "question": "Is Rāmgarh approximately on the direct path from Don Benito to Haikou?", + "ground_truth": { + "answer": true, + "direct_distance_km": 10692.2, + "via_waypoint_km": 11087.4, + "detour_km": 395.3, + "detour_percent": 3.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Don Benito", + " End: Haikou", + " Waypoint: Rāmgarh", + "Step 2: Calculate direct distance", + " Start → End: 10692.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11087.4 km", + "Step 4: Calculate detour", + " Detour = 11087.4 - 10692.2 = 395.3 km", + " Detour % = (395.3 / 10692.2) × 100 = 3.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 3.7% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 23.5418, + "lon": 110.38929, + "name": "Pingnan" + }, + "end": { + "lat": 34.76667, + "lon": 138.01667, + "name": "Kakegawa" + }, + "waypoint": { + "lat": -34.02262, + "lon": 20.44171, + "name": "Swellendam" + }, + "question": "Is Swellendam approximately on the direct path from Pingnan to Kakegawa?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2945.7, + "via_waypoint_km": 25823.5, + "detour_km": 22877.8, + "detour_percent": 776.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Pingnan", + " End: Kakegawa", + " Waypoint: Swellendam", + "Step 2: Calculate direct distance", + " Start → End: 2945.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25823.5 km", + "Step 4: Calculate detour", + " Detour = 25823.5 - 2945.7 = 22877.8 km", + " Detour % = (22877.8 / 2945.7) × 100 = 776.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 776.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 26.79909, + "lon": 82.2047, + "name": "Ayodhya" + }, + "end": { + "lat": 36.14766, + "lon": 3.69123, + "name": "Sour el Ghozlane" + }, + "waypoint": { + "lat": 30.76213, + "lon": -86.57051, + "name": "Crestview" + }, + "question": "Is Crestview approximately on the direct path from Ayodhya to Sour el Ghozlane?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7319.7, + "via_waypoint_km": 21580.6, + "detour_km": 14260.8, + "detour_percent": 194.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ayodhya", + " End: Sour el Ghozlane", + " Waypoint: Crestview", + "Step 2: Calculate direct distance", + " Start → End: 7319.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21580.6 km", + "Step 4: Calculate detour", + " Detour = 21580.6 - 7319.7 = 14260.8 km", + " Detour % = (14260.8 / 7319.7) × 100 = 194.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 194.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 47.17266, + "lon": 19.79952, + "name": "Cegléd" + }, + "end": { + "lat": -31.89578, + "lon": 115.76431, + "name": "Scarborough" + }, + "waypoint": { + "lat": 37.3281, + "lon": -87.49889, + "name": "Madisonville" + }, + "question": "Is Madisonville approximately on the direct path from Cegléd to Scarborough?", + "ground_truth": { + "answer": false, + "direct_distance_km": 12963.4, + "via_waypoint_km": 25981.6, + "detour_km": 13018.2, + "detour_percent": 100.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Cegléd", + " End: Scarborough", + " Waypoint: Madisonville", + "Step 2: Calculate direct distance", + " Start → End: 12963.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 25981.6 km", + "Step 4: Calculate detour", + " Detour = 25981.6 - 12963.4 = 13018.2 km", + " Detour % = (13018.2 / 12963.4) × 100 = 100.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 100.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 41.02001, + "lon": -92.4113, + "name": "Ottumwa" + }, + "end": { + "lat": 52.18661, + "lon": 7.86043, + "name": "Lengerich" + }, + "waypoint": { + "lat": 34.9, + "lon": 137.5, + "name": "Shinshiro" + }, + "question": "Is Shinshiro approximately on the direct path from Ottumwa to Lengerich?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7133.1, + "via_waypoint_km": 19323.0, + "detour_km": 12189.9, + "detour_percent": 170.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ottumwa", + " End: Lengerich", + " Waypoint: Shinshiro", + "Step 2: Calculate direct distance", + " Start → End: 7133.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19323.0 km", + "Step 4: Calculate detour", + " Detour = 19323.0 - 7133.1 = 12189.9 km", + " Detour % = (12189.9 / 7133.1) × 100 = 170.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 170.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 34.84218, + "lon": 1.54697, + "name": "’Aïn Deheb" + }, + "end": { + "lat": -5.40232, + "lon": -80.74224, + "name": "La Unión" + }, + "waypoint": { + "lat": 51.3575, + "lon": 5.31806, + "name": "Eersel" + }, + "question": "Is Eersel approximately on the direct path from ’Aïn Deheb to La Unión?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9651.6, + "via_waypoint_km": 12065.1, + "detour_km": 2413.5, + "detour_percent": 25.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: ’Aïn Deheb", + " End: La Unión", + " Waypoint: Eersel", + "Step 2: Calculate direct distance", + " Start → End: 9651.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12065.1 km", + "Step 4: Calculate detour", + " Detour = 12065.1 - 9651.6 = 2413.5 km", + " Detour % = (2413.5 / 9651.6) × 100 = 25.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 25.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 29.88519, + "lon": -93.94233, + "name": "Port Arthur" + }, + "end": { + "lat": 45.67574, + "lon": 9.23723, + "name": "Carate Brianza" + }, + "waypoint": { + "lat": -26.04027, + "lon": 30.79268, + "name": "Nhlazatje" + }, + "question": "Is Nhlazatje approximately on the direct path from Port Arthur to Carate Brianza?", + "ground_truth": { + "answer": false, + "direct_distance_km": 8605.3, + "via_waypoint_km": 22888.9, + "detour_km": 14283.7, + "detour_percent": 166.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Port Arthur", + " End: Carate Brianza", + " Waypoint: Nhlazatje", + "Step 2: Calculate direct distance", + " Start → End: 8605.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22888.9 km", + "Step 4: Calculate detour", + " Detour = 22888.9 - 8605.3 = 14283.7 km", + " Detour % = (14283.7 / 8605.3) × 100 = 166.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 166.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -14.66429, + "lon": -52.35859, + "name": "Nova Xavantina" + }, + "end": { + "lat": -26.18489, + "lon": -58.17313, + "name": "Formosa" + }, + "waypoint": { + "lat": -37.91482, + "lon": 144.75088, + "name": "Point Cook" + }, + "question": "Is Point Cook approximately on the direct path from Nova Xavantina to Formosa?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1416.5, + "via_waypoint_km": 26398.9, + "detour_km": 24982.4, + "detour_percent": 1763.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Nova Xavantina", + " End: Formosa", + " Waypoint: Point Cook", + "Step 2: Calculate direct distance", + " Start → End: 1416.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 26398.9 km", + "Step 4: Calculate detour", + " Detour = 26398.9 - 1416.5 = 24982.4 km", + " Detour % = (24982.4 / 1416.5) × 100 = 1763.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1763.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.75541, + "lon": 81.60765, + "name": "Arix" + }, + "end": { + "lat": 34.38333, + "lon": 118.23333, + "name": "Wayao" + }, + "waypoint": { + "lat": 41.65917, + "lon": 123.33917, + "name": "Sujiatun" + }, + "question": "Is Sujiatun approximately on the direct path from Arix to Wayao?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3303.1, + "via_waypoint_km": 4525.1, + "detour_km": 1222.1, + "detour_percent": 37.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Arix", + " End: Wayao", + " Waypoint: Sujiatun", + "Step 2: Calculate direct distance", + " Start → End: 3303.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 4525.1 km", + "Step 4: Calculate detour", + " Detour = 4525.1 - 3303.1 = 1222.1 km", + " Detour % = (1222.1 / 3303.1) × 100 = 37.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 37.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -4.04167, + "lon": -44.475, + "name": "São Mateus do Maranhão" + }, + "end": { + "lat": 6.73156, + "lon": -1.6137, + "name": "Tafo" + }, + "waypoint": { + "lat": 51.09683, + "lon": 6.83167, + "name": "Dormagen" + }, + "question": "Is Dormagen approximately on the direct path from São Mateus do Maranhão to Tafo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4906.0, + "via_waypoint_km": 12813.7, + "detour_km": 7907.7, + "detour_percent": 161.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: São Mateus do Maranhão", + " End: Tafo", + " Waypoint: Dormagen", + "Step 2: Calculate direct distance", + " Start → End: 4906.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12813.7 km", + "Step 4: Calculate detour", + " Detour = 12813.7 - 4906.0 = 7907.7 km", + " Detour % = (7907.7 / 4906.0) × 100 = 161.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 161.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 26.80172, + "lon": 79.50829, + "name": "Bidhūna" + }, + "end": { + "lat": 30.90711, + "lon": 32.02341, + "name": "Munsha‘at Abū ‘Umar" + }, + "waypoint": { + "lat": 35.37675, + "lon": 5.90001, + "name": "Aïn Touta" + }, + "question": "Is Aïn Touta approximately on the direct path from Bidhūna to Munsha‘at Abū ‘Umar?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4612.8, + "via_waypoint_km": 9390.9, + "detour_km": 4778.1, + "detour_percent": 103.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bidhūna", + " End: Munsha‘at Abū ‘Umar", + " Waypoint: Aïn Touta", + "Step 2: Calculate direct distance", + " Start → End: 4612.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 9390.9 km", + "Step 4: Calculate detour", + " Detour = 9390.9 - 4612.8 = 4778.1 km", + " Detour % = (4778.1 / 4612.8) × 100 = 103.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 103.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 52.13459, + "lon": -0.46632, + "name": "Bedford" + }, + "end": { + "lat": -25.43998, + "lon": -54.40161, + "name": "Santa Terezinha de Itaipu" + }, + "waypoint": { + "lat": 25.69893, + "lon": 32.6421, + "name": "Luxor" + }, + "question": "Is Luxor approximately on the direct path from Bedford to Santa Terezinha de Itaipu?", + "ground_truth": { + "answer": false, + "direct_distance_km": 10089.2, + "via_waypoint_km": 14969.7, + "detour_km": 4880.5, + "detour_percent": 48.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Bedford", + " End: Santa Terezinha de Itaipu", + " Waypoint: Luxor", + "Step 2: Calculate direct distance", + " Start → End: 10089.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14969.7 km", + "Step 4: Calculate detour", + " Detour = 14969.7 - 10089.2 = 4880.5 km", + " Detour % = (4880.5 / 10089.2) × 100 = 48.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 48.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 31.69405, + "lon": -89.13061, + "name": "Laurel" + }, + "end": { + "lat": 13.4322, + "lon": 123.517, + "name": "Buhi" + }, + "waypoint": { + "lat": -13.79841, + "lon": 32.88019, + "name": "Mchinji" + }, + "question": "Is Mchinji approximately on the direct path from Laurel to Buhi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13908.8, + "via_waypoint_km": 24247.6, + "detour_km": 10338.8, + "detour_percent": 74.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Laurel", + " End: Buhi", + " Waypoint: Mchinji", + "Step 2: Calculate direct distance", + " Start → End: 13908.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24247.6 km", + "Step 4: Calculate detour", + " Detour = 24247.6 - 13908.8 = 10338.8 km", + " Detour % = (10338.8 / 13908.8) × 100 = 74.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 74.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 39.71734, + "lon": -74.96933, + "name": "Sicklerville" + }, + "end": { + "lat": -12.77778, + "lon": -38.91944, + "name": "Maragogipe" + }, + "waypoint": { + "lat": 37.26318, + "lon": 49.94325, + "name": "Āstāneh-ye Ashrafīyeh" + }, + "question": "Is Āstāneh-ye Ashrafīyeh approximately on the direct path from Sicklerville to Maragogipe?", + "ground_truth": { + "answer": false, + "direct_distance_km": 6925.0, + "via_waypoint_km": 20539.1, + "detour_km": 13614.1, + "detour_percent": 196.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sicklerville", + " End: Maragogipe", + " Waypoint: Āstāneh-ye Ashrafīyeh", + "Step 2: Calculate direct distance", + " Start → End: 6925.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20539.1 km", + "Step 4: Calculate detour", + " Detour = 20539.1 - 6925.0 = 13614.1 km", + " Detour % = (13614.1 / 6925.0) × 100 = 196.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 196.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.83389, + "lon": 118.89778, + "name": "Daotian" + }, + "end": { + "lat": 33.42118, + "lon": 130.6136, + "name": "Yamaguma" + }, + "waypoint": { + "lat": -33.78333, + "lon": 150.93333, + "name": "Seven Hills" + }, + "question": "Is Seven Hills approximately on the direct path from Daotian to Yamaguma?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1130.1, + "via_waypoint_km": 16293.6, + "detour_km": 15163.5, + "detour_percent": 1341.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Daotian", + " End: Yamaguma", + " Waypoint: Seven Hills", + "Step 2: Calculate direct distance", + " Start → End: 1130.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16293.6 km", + "Step 4: Calculate detour", + " Detour = 16293.6 - 1130.1 = 15163.5 km", + " Detour % = (15163.5 / 1130.1) × 100 = 1341.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1341.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -20.81972, + "lon": -49.37944, + "name": "São José do Rio Preto" + }, + "end": { + "lat": -13.63426, + "lon": -72.8838, + "name": "Abancay" + }, + "waypoint": { + "lat": 3.06028, + "lon": 101.7408, + "name": "Alam Damai" + }, + "question": "Is Alam Damai approximately on the direct path from São José do Rio Preto to Abancay?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2617.6, + "via_waypoint_km": 35017.0, + "detour_km": 32399.4, + "detour_percent": 1237.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: São José do Rio Preto", + " End: Abancay", + " Waypoint: Alam Damai", + "Step 2: Calculate direct distance", + " Start → End: 2617.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 35017.0 km", + "Step 4: Calculate detour", + " Detour = 35017.0 - 2617.6 = 32399.4 km", + " Detour % = (32399.4 / 2617.6) × 100 = 1237.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1237.8% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 51.10754, + "lon": 114.54173, + "name": "Aginskoye" + }, + "end": { + "lat": 38.784, + "lon": -77.46971, + "name": "Manassas Park" + }, + "waypoint": { + "lat": 33.92866, + "lon": -6.90656, + "name": "Temara" + }, + "question": "Is Temara approximately on the direct path from Aginskoye to Manassas Park?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9951.3, + "via_waypoint_km": 15150.1, + "detour_km": 5198.8, + "detour_percent": 52.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Aginskoye", + " End: Manassas Park", + " Waypoint: Temara", + "Step 2: Calculate direct distance", + " Start → End: 9951.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15150.1 km", + "Step 4: Calculate detour", + " Detour = 15150.1 - 9951.3 = 5198.8 km", + " Detour % = (5198.8 / 9951.3) × 100 = 52.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 52.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 38.40886, + "lon": 141.17901, + "name": "Higashimatsushima" + }, + "end": { + "lat": 34.68503, + "lon": 138.20461, + "name": "Sagara" + }, + "waypoint": { + "lat": 40.48917, + "lon": 29.30889, + "name": "Orhangazi" + }, + "question": "Is Orhangazi approximately on the direct path from Higashimatsushima to Sagara?", + "ground_truth": { + "answer": false, + "direct_distance_km": 491.9, + "via_waypoint_km": 17784.2, + "detour_km": 17292.3, + "detour_percent": 3515.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Higashimatsushima", + " End: Sagara", + " Waypoint: Orhangazi", + "Step 2: Calculate direct distance", + " Start → End: 491.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17784.2 km", + "Step 4: Calculate detour", + " Detour = 17784.2 - 491.9 = 17292.3 km", + " Detour % = (17292.3 / 491.9) × 100 = 3515.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 3515.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 34.33611, + "lon": 117.56667, + "name": "Tashan" + }, + "end": { + "lat": -28.87097, + "lon": 31.89961, + "name": "eSikhaleni" + }, + "waypoint": { + "lat": 36.76967, + "lon": 7.90641, + "name": "Ben Mehidi" + }, + "question": "Is Ben Mehidi approximately on the direct path from Tashan to eSikhaleni?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11405.8, + "via_waypoint_km": 16989.5, + "detour_km": 5583.8, + "detour_percent": 49.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Tashan", + " End: eSikhaleni", + " Waypoint: Ben Mehidi", + "Step 2: Calculate direct distance", + " Start → End: 11405.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16989.5 km", + "Step 4: Calculate detour", + " Detour = 16989.5 - 11405.8 = 5583.8 km", + " Detour % = (5583.8 / 11405.8) × 100 = 49.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 49.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 39.10816, + "lon": -76.99775, + "name": "Cloverly" + }, + "end": { + "lat": -20.12389, + "lon": -42.00139, + "name": "Simonésia" + }, + "waypoint": { + "lat": -33.78333, + "lon": 150.93333, + "name": "Seven Hills" + }, + "question": "Is Seven Hills approximately on the direct path from Cloverly to Simonésia?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7525.4, + "via_waypoint_km": 29602.9, + "detour_km": 22077.5, + "detour_percent": 293.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Cloverly", + " End: Simonésia", + " Waypoint: Seven Hills", + "Step 2: Calculate direct distance", + " Start → End: 7525.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 29602.9 km", + "Step 4: Calculate detour", + " Detour = 29602.9 - 7525.4 = 22077.5 km", + " Detour % = (22077.5 / 7525.4) × 100 = 293.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 293.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -11.64083, + "lon": -42.01111, + "name": "Ibipeba" + }, + "end": { + "lat": 4.96531, + "lon": -73.91301, + "name": "Tocancipá" + }, + "waypoint": { + "lat": 40.70935, + "lon": -73.81529, + "name": "Briarwood" + }, + "question": "Is Briarwood approximately on the direct path from Ibipeba to Tocancipá?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3982.5, + "via_waypoint_km": 10651.0, + "detour_km": 6668.5, + "detour_percent": 167.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ibipeba", + " End: Tocancipá", + " Waypoint: Briarwood", + "Step 2: Calculate direct distance", + " Start → End: 3982.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10651.0 km", + "Step 4: Calculate detour", + " Detour = 10651.0 - 3982.5 = 6668.5 km", + " Detour % = (6668.5 / 3982.5) × 100 = 167.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 167.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 64.75067, + "lon": 20.95279, + "name": "Skellefteå" + }, + "end": { + "lat": 53.60697, + "lon": 9.90538, + "name": "Eidelstedt" + }, + "waypoint": { + "lat": 12.9591, + "lon": -2.26075, + "name": "Yako" + }, + "question": "Is Yako approximately on the direct path from Skellefteå to Eidelstedt?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1385.2, + "via_waypoint_km": 10672.9, + "detour_km": 9287.6, + "detour_percent": 670.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Skellefteå", + " End: Eidelstedt", + " Waypoint: Yako", + "Step 2: Calculate direct distance", + " Start → End: 1385.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 10672.9 km", + "Step 4: Calculate detour", + " Detour = 10672.9 - 1385.2 = 9287.6 km", + " Detour % = (9287.6 / 1385.2) × 100 = 670.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 670.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 21.43434, + "lon": -102.57427, + "name": "Teocaltiche" + }, + "end": { + "lat": 19.79344, + "lon": -70.6884, + "name": "Puerto Plata" + }, + "waypoint": { + "lat": -23.21139, + "lon": -46.82833, + "name": "Várzea Paulista" + }, + "question": "Is Várzea Paulista approximately on the direct path from Teocaltiche to Puerto Plata?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3317.9, + "via_waypoint_km": 13251.6, + "detour_km": 9933.6, + "detour_percent": 299.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Teocaltiche", + " End: Puerto Plata", + " Waypoint: Várzea Paulista", + "Step 2: Calculate direct distance", + " Start → End: 3317.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 13251.6 km", + "Step 4: Calculate detour", + " Detour = 13251.6 - 3317.9 = 9933.6 km", + " Detour % = (9933.6 / 3317.9) × 100 = 299.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 299.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 37.4614, + "lon": -3.92301, + "name": "Alcalá la Real" + }, + "end": { + "lat": 50.12674, + "lon": 14.49363, + "name": "Střížkov" + }, + "waypoint": { + "lat": 55.65691, + "lon": 12.36381, + "name": "Albertslund" + }, + "question": "Is Albertslund approximately on the direct path from Alcalá la Real to Střížkov?", + "ground_truth": { + "answer": false, + "direct_distance_km": 2031.2, + "via_waypoint_km": 2993.8, + "detour_km": 962.6, + "detour_percent": 47.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Alcalá la Real", + " End: Střížkov", + " Waypoint: Albertslund", + "Step 2: Calculate direct distance", + " Start → End: 2031.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 2993.8 km", + "Step 4: Calculate detour", + " Detour = 2993.8 - 2031.2 = 962.6 km", + " Detour % = (962.6 / 2031.2) × 100 = 47.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 47.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -21.30528, + "lon": -46.71278, + "name": "Guaxupé" + }, + "end": { + "lat": 23.0144, + "lon": 91.3966, + "name": "Feni" + }, + "waypoint": { + "lat": 10.95627, + "lon": 36.50456, + "name": "Chagni" + }, + "question": "Is Chagni approximately on the direct path from Guaxupé to Feni?", + "ground_truth": { + "answer": true, + "direct_distance_km": 15711.5, + "via_waypoint_km": 15714.6, + "detour_km": 3.2, + "detour_percent": 0.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Guaxupé", + " End: Feni", + " Waypoint: Chagni", + "Step 2: Calculate direct distance", + " Start → End: 15711.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15714.6 km", + "Step 4: Calculate detour", + " Detour = 15714.6 - 15711.5 = 3.2 km", + " Detour % = (3.2 / 15711.5) × 100 = 0.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.0% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -14.75, + "lon": 50.21667, + "name": "Ampahana" + }, + "end": { + "lat": 53.4669, + "lon": 51.4941, + "name": "Kinel’-Cherkassy" + }, + "waypoint": { + "lat": 40.03122, + "lon": -75.04434, + "name": "Tacony" + }, + "question": "Is Tacony approximately on the direct path from Ampahana to Kinel’-Cherkassy?", + "ground_truth": { + "answer": false, + "direct_distance_km": 7586.4, + "via_waypoint_km": 22465.4, + "detour_km": 14879.0, + "detour_percent": 196.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Ampahana", + " End: Kinel’-Cherkassy", + " Waypoint: Tacony", + "Step 2: Calculate direct distance", + " Start → End: 7586.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22465.4 km", + "Step 4: Calculate detour", + " Detour = 22465.4 - 7586.4 = 14879.0 km", + " Detour % = (14879.0 / 7586.4) × 100 = 196.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 196.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -7.77639, + "lon": -34.89222, + "name": "Itapissuma" + }, + "end": { + "lat": 48.22321, + "lon": 16.35506, + "name": "Alsergrund" + }, + "waypoint": { + "lat": 47.09225, + "lon": 5.48966, + "name": "Dole" + }, + "question": "Is Dole approximately on the direct path from Itapissuma to Alsergrund?", + "ground_truth": { + "answer": true, + "direct_distance_km": 7984.1, + "via_waypoint_km": 8105.7, + "detour_km": 121.6, + "detour_percent": 1.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Itapissuma", + " End: Alsergrund", + " Waypoint: Dole", + "Step 2: Calculate direct distance", + " Start → End: 7984.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 8105.7 km", + "Step 4: Calculate detour", + " Detour = 8105.7 - 7984.1 = 121.6 km", + " Detour % = (121.6 / 7984.1) × 100 = 1.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1.5% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 10.77697, + "lon": -74.85344, + "name": "Polonuevo" + }, + "end": { + "lat": 42.96589, + "lon": -78.87004, + "name": "Kenmore" + }, + "waypoint": { + "lat": 36.12997, + "lon": -115.11889, + "name": "Winchester" + }, + "question": "Is Winchester approximately on the direct path from Polonuevo to Kenmore?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3600.3, + "via_waypoint_km": 8099.2, + "detour_km": 4498.9, + "detour_percent": 125.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Polonuevo", + " End: Kenmore", + " Waypoint: Winchester", + "Step 2: Calculate direct distance", + " Start → End: 3600.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 8099.2 km", + "Step 4: Calculate detour", + " Detour = 8099.2 - 3600.3 = 4498.9 km", + " Detour % = (4498.9 / 3600.3) × 100 = 125.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 125.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 25.67149, + "lon": -80.4445, + "name": "The Hammocks" + }, + "end": { + "lat": 5.90702, + "lon": 116.10146, + "name": "Donggongon" + }, + "waypoint": { + "lat": -7.21337, + "lon": -40.137, + "name": "Araripe" + }, + "question": "Is Araripe approximately on the direct path from The Hammocks to Donggongon?", + "ground_truth": { + "answer": false, + "direct_distance_km": 16075.2, + "via_waypoint_km": 23072.6, + "detour_km": 6997.4, + "detour_percent": 43.5 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: The Hammocks", + " End: Donggongon", + " Waypoint: Araripe", + "Step 2: Calculate direct distance", + " Start → End: 16075.2 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 23072.6 km", + "Step 4: Calculate detour", + " Detour = 23072.6 - 16075.2 = 6997.4 km", + " Detour % = (6997.4 / 16075.2) × 100 = 43.5%", + "Step 5: Determine if on route (typically < 10% detour)", + " 43.5% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 52.71793, + "lon": 58.66667, + "name": "Sibay" + }, + "end": { + "lat": 39.08077, + "lon": 17.12764, + "name": "Crotone" + }, + "waypoint": { + "lat": 60.01512, + "lon": 30.67314, + "name": "Vsevolozhsk" + }, + "question": "Is Vsevolozhsk approximately on the direct path from Sibay to Crotone?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3491.5, + "via_waypoint_km": 4399.6, + "detour_km": 908.1, + "detour_percent": 26.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sibay", + " End: Crotone", + " Waypoint: Vsevolozhsk", + "Step 2: Calculate direct distance", + " Start → End: 3491.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 4399.6 km", + "Step 4: Calculate detour", + " Detour = 4399.6 - 3491.5 = 908.1 km", + " Detour % = (908.1 / 3491.5) × 100 = 26.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 26.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 14.57814, + "lon": -90.73804, + "name": "Jocotenango" + }, + "end": { + "lat": 40.94454, + "lon": -74.07542, + "name": "Paramus" + }, + "waypoint": { + "lat": 5.68476, + "lon": -0.04011, + "name": "Lashibi" + }, + "question": "Is Lashibi approximately on the direct path from Jocotenango to Paramus?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3345.4, + "via_waypoint_km": 18178.3, + "detour_km": 14832.9, + "detour_percent": 443.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Jocotenango", + " End: Paramus", + " Waypoint: Lashibi", + "Step 2: Calculate direct distance", + " Start → End: 3345.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 18178.3 km", + "Step 4: Calculate detour", + " Detour = 18178.3 - 3345.4 = 14832.9 km", + " Detour % = (14832.9 / 3345.4) × 100 = 443.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 443.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -4.44771, + "lon": -45.24053, + "name": "Paulo Ramos" + }, + "end": { + "lat": 11.27271, + "lon": 76.22571, + "name": "Nilambūr" + }, + "waypoint": { + "lat": 15.0809, + "lon": 120.941, + "name": "San Ildefonso" + }, + "question": "Is San Ildefonso approximately on the direct path from Paulo Ramos to Nilambūr?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13533.0, + "via_waypoint_km": 22947.7, + "detour_km": 9414.8, + "detour_percent": 69.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Paulo Ramos", + " End: Nilambūr", + " Waypoint: San Ildefonso", + "Step 2: Calculate direct distance", + " Start → End: 13533.0 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 22947.7 km", + "Step 4: Calculate detour", + " Detour = 22947.7 - 13533.0 = 9414.8 km", + " Detour % = (9414.8 / 13533.0) × 100 = 69.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 69.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 33.03699, + "lon": -117.29198, + "name": "Encinitas" + }, + "end": { + "lat": -8.76234, + "lon": 31.11405, + "name": "Mpulungu" + }, + "waypoint": { + "lat": -3.98889, + "lon": -39.58056, + "name": "Tejuçuoca" + }, + "question": "Is Tejuçuoca approximately on the direct path from Encinitas to Mpulungu?", + "ground_truth": { + "answer": true, + "direct_distance_km": 15797.7, + "via_waypoint_km": 16932.9, + "detour_km": 1135.3, + "detour_percent": 7.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Encinitas", + " End: Mpulungu", + " Waypoint: Tejuçuoca", + "Step 2: Calculate direct distance", + " Start → End: 15797.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16932.9 km", + "Step 4: Calculate detour", + " Detour = 16932.9 - 15797.7 = 1135.3 km", + " Detour % = (1135.3 / 15797.7) × 100 = 7.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 7.2% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -34.4187, + "lon": 19.23446, + "name": "Hermanus" + }, + "end": { + "lat": 42.00864, + "lon": -87.66672, + "name": "Rogers Park" + }, + "waypoint": { + "lat": 8.35525, + "lon": 77.3283, + "name": "Ponmana" + }, + "question": "Is Ponmana approximately on the direct path from Hermanus to Rogers Park?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13767.4, + "via_waypoint_km": 21944.8, + "detour_km": 8177.5, + "detour_percent": 59.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Hermanus", + " End: Rogers Park", + " Waypoint: Ponmana", + "Step 2: Calculate direct distance", + " Start → End: 13767.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21944.8 km", + "Step 4: Calculate detour", + " Detour = 21944.8 - 13767.4 = 8177.5 km", + " Detour % = (8177.5 / 13767.4) × 100 = 59.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 59.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 37.53333, + "lon": 138.93333, + "name": "Mitsuke" + }, + "end": { + "lat": 26.5503, + "lon": 84.6801, + "name": "Areraj" + }, + "waypoint": { + "lat": 58.23544, + "lon": 92.48351, + "name": "Lesosibirsk" + }, + "question": "Is Lesosibirsk approximately on the direct path from Mitsuke to Areraj?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5184.8, + "via_waypoint_km": 7615.7, + "detour_km": 2430.9, + "detour_percent": 46.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Mitsuke", + " End: Areraj", + " Waypoint: Lesosibirsk", + "Step 2: Calculate direct distance", + " Start → End: 5184.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 7615.7 km", + "Step 4: Calculate detour", + " Detour = 7615.7 - 5184.8 = 2430.9 km", + " Detour % = (2430.9 / 5184.8) × 100 = 46.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 46.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 34.77679, + "lon": 32.42451, + "name": "Paphos" + }, + "end": { + "lat": 37.87715, + "lon": -122.17969, + "name": "Orinda" + }, + "waypoint": { + "lat": 20.17376, + "lon": -98.05491, + "name": "Huauchinango" + }, + "question": "Is Huauchinango approximately on the direct path from Paphos to Orinda?", + "ground_truth": { + "answer": false, + "direct_distance_km": 11522.1, + "via_waypoint_km": 15019.3, + "detour_km": 3497.2, + "detour_percent": 30.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Paphos", + " End: Orinda", + " Waypoint: Huauchinango", + "Step 2: Calculate direct distance", + " Start → End: 11522.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 15019.3 km", + "Step 4: Calculate detour", + " Detour = 15019.3 - 11522.1 = 3497.2 km", + " Detour % = (3497.2 / 11522.1) × 100 = 30.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 30.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 36.71, + "lon": 119.10194, + "name": "Weifang" + }, + "end": { + "lat": -4.75639, + "lon": -42.57556, + "name": "José de Freitas" + }, + "waypoint": { + "lat": -33.9205, + "lon": 151.25522, + "name": "Coogee" + }, + "question": "Is Coogee approximately on the direct path from Weifang to José de Freitas?", + "ground_truth": { + "answer": false, + "direct_distance_km": 16000.8, + "via_waypoint_km": 24006.9, + "detour_km": 8006.1, + "detour_percent": 50.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Weifang", + " End: José de Freitas", + " Waypoint: Coogee", + "Step 2: Calculate direct distance", + " Start → End: 16000.8 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 24006.9 km", + "Step 4: Calculate detour", + " Detour = 24006.9 - 16000.8 = 8006.1 km", + " Detour % = (8006.1 / 16000.8) × 100 = 50.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 50.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 12.91667, + "lon": -14.16667, + "name": "Diaoubé" + }, + "end": { + "lat": -13.45287, + "lon": -39.4208, + "name": "Presidente Tancredo Neves" + }, + "waypoint": { + "lat": 53.77174, + "lon": 38.12305, + "name": "Bogoroditsk" + }, + "question": "Is Bogoroditsk approximately on the direct path from Diaoubé to Presidente Tancredo Neves?", + "ground_truth": { + "answer": false, + "direct_distance_km": 4042.6, + "via_waypoint_km": 16842.2, + "detour_km": 12799.6, + "detour_percent": 316.6 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Diaoubé", + " End: Presidente Tancredo Neves", + " Waypoint: Bogoroditsk", + "Step 2: Calculate direct distance", + " Start → End: 4042.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16842.2 km", + "Step 4: Calculate detour", + " Detour = 16842.2 - 4042.6 = 12799.6 km", + " Detour % = (12799.6 / 4042.6) × 100 = 316.6%", + "Step 5: Determine if on route (typically < 10% detour)", + " 316.6% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 42.97866, + "lon": -82.40407, + "name": "Sarnia" + }, + "end": { + "lat": 38.88095, + "lon": -77.30082, + "name": "Oakton" + }, + "waypoint": { + "lat": 36.13068, + "lon": 68.70829, + "name": "Baghlān" + }, + "question": "Is Baghlān approximately on the direct path from Sarnia to Oakton?", + "ground_truth": { + "answer": false, + "direct_distance_km": 625.4, + "via_waypoint_km": 21718.9, + "detour_km": 21093.5, + "detour_percent": 3372.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Sarnia", + " End: Oakton", + " Waypoint: Baghlān", + "Step 2: Calculate direct distance", + " Start → End: 625.4 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21718.9 km", + "Step 4: Calculate detour", + " Detour = 21718.9 - 625.4 = 21093.5 km", + " Detour % = (21093.5 / 625.4) × 100 = 3372.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 3372.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 19.25934, + "lon": -99.60175, + "name": "Metepec" + }, + "end": { + "lat": 21.03907, + "lon": -104.37116, + "name": "Ixtlán del Río" + }, + "waypoint": { + "lat": 32.86628, + "lon": 59.22114, + "name": "Bīrjand" + }, + "question": "Is Bīrjand approximately on the direct path from Metepec to Ixtlán del Río?", + "ground_truth": { + "answer": false, + "direct_distance_km": 535.7, + "via_waypoint_km": 27570.2, + "detour_km": 27034.4, + "detour_percent": 5046.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Metepec", + " End: Ixtlán del Río", + " Waypoint: Bīrjand", + "Step 2: Calculate direct distance", + " Start → End: 535.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 27570.2 km", + "Step 4: Calculate detour", + " Detour = 27570.2 - 535.7 = 27034.4 km", + " Detour % = (27034.4 / 535.7) × 100 = 5046.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 5046.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 50.41694, + "lon": 25.73432, + "name": "Dubno" + }, + "end": { + "lat": 51.65333, + "lon": 5.2875, + "name": "Vught" + }, + "waypoint": { + "lat": -21.85389, + "lon": -47.47917, + "name": "Porto Ferreira" + }, + "question": "Is Porto Ferreira approximately on the direct path from Dubno to Vught?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1431.6, + "via_waypoint_km": 20396.3, + "detour_km": 18964.7, + "detour_percent": 1324.7 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Dubno", + " End: Vught", + " Waypoint: Porto Ferreira", + "Step 2: Calculate direct distance", + " Start → End: 1431.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 20396.3 km", + "Step 4: Calculate detour", + " Detour = 20396.3 - 1431.6 = 18964.7 km", + " Detour % = (18964.7 / 1431.6) × 100 = 1324.7%", + "Step 5: Determine if on route (typically < 10% detour)", + " 1324.7% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 40.91534, + "lon": -81.10593, + "name": "Alliance" + }, + "end": { + "lat": 6.7, + "lon": 6.33333, + "name": "Uromi" + }, + "waypoint": { + "lat": 26.26022, + "lon": 50.20486, + "name": "Thuqbah" + }, + "question": "Is Thuqbah approximately on the direct path from Alliance to Uromi?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9305.7, + "via_waypoint_km": 16139.2, + "detour_km": 6833.5, + "detour_percent": 73.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Alliance", + " End: Uromi", + " Waypoint: Thuqbah", + "Step 2: Calculate direct distance", + " Start → End: 9305.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 16139.2 km", + "Step 4: Calculate detour", + " Detour = 16139.2 - 9305.7 = 6833.5 km", + " Detour % = (6833.5 / 9305.7) × 100 = 73.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 73.4% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 18.84577, + "lon": 79.46165, + "name": "Nāspur" + }, + "end": { + "lat": 38.78922, + "lon": -90.32261, + "name": "Florissant" + }, + "waypoint": { + "lat": 14.69707, + "lon": -17.23015, + "name": "Bargny" + }, + "question": "Is Bargny approximately on the direct path from Nāspur to Florissant?", + "ground_truth": { + "answer": false, + "direct_distance_km": 13518.5, + "via_waypoint_km": 17701.5, + "detour_km": 4183.0, + "detour_percent": 30.9 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Nāspur", + " End: Florissant", + " Waypoint: Bargny", + "Step 2: Calculate direct distance", + " Start → End: 13518.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 17701.5 km", + "Step 4: Calculate detour", + " Detour = 17701.5 - 13518.5 = 4183.0 km", + " Detour % = (4183.0 / 13518.5) × 100 = 30.9%", + "Step 5: Determine if on route (typically < 10% detour)", + " 30.9% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 41.03449, + "lon": 16.98963, + "name": "Noicattaro" + }, + "end": { + "lat": 10.13366, + "lon": 14.70748, + "name": "Guidiguis" + }, + "waypoint": { + "lat": 28.63124, + "lon": 79.80436, + "name": "Pīlibhīt" + }, + "question": "Is Pīlibhīt approximately on the direct path from Noicattaro to Guidiguis?", + "ground_truth": { + "answer": false, + "direct_distance_km": 3443.3, + "via_waypoint_km": 12817.8, + "detour_km": 9374.5, + "detour_percent": 272.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Noicattaro", + " End: Guidiguis", + " Waypoint: Pīlibhīt", + "Step 2: Calculate direct distance", + " Start → End: 3443.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12817.8 km", + "Step 4: Calculate detour", + " Detour = 12817.8 - 3443.3 = 9374.5 km", + " Detour % = (9374.5 / 3443.3) × 100 = 272.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 272.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 54.57623, + "lon": -1.23483, + "name": "Middlesbrough" + }, + "end": { + "lat": 41.35033, + "lon": -83.12186, + "name": "Fremont" + }, + "waypoint": { + "lat": -5.89056, + "lon": -38.62194, + "name": "Jaguaribe" + }, + "question": "Is Jaguaribe approximately on the direct path from Middlesbrough to Fremont?", + "ground_truth": { + "answer": false, + "direct_distance_km": 5909.6, + "via_waypoint_km": 14489.9, + "detour_km": 8580.3, + "detour_percent": 145.2 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Middlesbrough", + " End: Fremont", + " Waypoint: Jaguaribe", + "Step 2: Calculate direct distance", + " Start → End: 5909.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14489.9 km", + "Step 4: Calculate detour", + " Detour = 14489.9 - 5909.6 = 8580.3 km", + " Detour % = (8580.3 / 5909.6) × 100 = 145.2%", + "Step 5: Determine if on route (typically < 10% detour)", + " 145.2% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 8.69625, + "lon": -69.20832, + "name": "Guanarito" + }, + "end": { + "lat": 56.97047, + "lon": 60.58219, + "name": "Verkhnyaya Pyshma" + }, + "waypoint": { + "lat": 52.2463, + "lon": 0.71111, + "name": "Bury St Edmunds" + }, + "question": "Is Bury St Edmunds approximately on the direct path from Guanarito to Verkhnyaya Pyshma?", + "ground_truth": { + "answer": true, + "direct_distance_km": 11408.1, + "via_waypoint_km": 11648.1, + "detour_km": 240.0, + "detour_percent": 2.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Guanarito", + " End: Verkhnyaya Pyshma", + " Waypoint: Bury St Edmunds", + "Step 2: Calculate direct distance", + " Start → End: 11408.1 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 11648.1 km", + "Step 4: Calculate detour", + " Detour = 11648.1 - 11408.1 = 240.0 km", + " Detour % = (240.0 / 11408.1) × 100 = 2.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2.1% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 13.35, + "lon": 74.78333, + "name": "Manipal" + }, + "end": { + "lat": -8.28333, + "lon": -35.97611, + "name": "Caruaru" + }, + "waypoint": { + "lat": -2.94968, + "lon": 12.70423, + "name": "Mossendjo" + }, + "question": "Is Mossendjo approximately on the direct path from Manipal to Caruaru?", + "ground_truth": { + "answer": true, + "direct_distance_km": 12453.3, + "via_waypoint_km": 12498.7, + "detour_km": 45.4, + "detour_percent": 0.4 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Manipal", + " End: Caruaru", + " Waypoint: Mossendjo", + "Step 2: Calculate direct distance", + " Start → End: 12453.3 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 12498.7 km", + "Step 4: Calculate detour", + " Detour = 12498.7 - 12453.3 = 45.4 km", + " Detour % = (45.4 / 12453.3) × 100 = 0.4%", + "Step 5: Determine if on route (typically < 10% detour)", + " 0.4% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 7.71393, + "lon": 3.91665, + "name": "Fiditi" + }, + "end": { + "lat": 15.5883, + "lon": 120.9192, + "name": "Talavera" + }, + "waypoint": { + "lat": -5.63444, + "lon": -35.42556, + "name": "Ceará-Mirim" + }, + "question": "Is Ceará-Mirim approximately on the direct path from Fiditi to Talavera?", + "ground_truth": { + "answer": false, + "direct_distance_km": 12610.6, + "via_waypoint_km": 21816.1, + "detour_km": 9205.5, + "detour_percent": 73.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Fiditi", + " End: Talavera", + " Waypoint: Ceará-Mirim", + "Step 2: Calculate direct distance", + " Start → End: 12610.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21816.1 km", + "Step 4: Calculate detour", + " Detour = 21816.1 - 12610.6 = 9205.5 km", + " Detour % = (9205.5 / 12610.6) × 100 = 73.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 73.0% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": -8.64306, + "lon": 126.37833, + "name": "Venilale" + }, + "end": { + "lat": 54.85821, + "lon": 53.08006, + "name": "Aznakayevo" + }, + "waypoint": { + "lat": 10.48804, + "lon": -5.64943, + "name": "Zégoua" + }, + "question": "Is Zégoua approximately on the direct path from Venilale to Aznakayevo?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9748.5, + "via_waypoint_km": 21841.9, + "detour_km": 12093.5, + "detour_percent": 124.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Venilale", + " End: Aznakayevo", + " Waypoint: Zégoua", + "Step 2: Calculate direct distance", + " Start → End: 9748.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21841.9 km", + "Step 4: Calculate detour", + " Detour = 21841.9 - 9748.5 = 12093.5 km", + " Detour % = (12093.5 / 9748.5) × 100 = 124.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 124.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 10.71668, + "lon": 39.86997, + "name": "Kemisē" + }, + "end": { + "lat": -8.11599, + "lon": -79.02998, + "name": "Trujillo" + }, + "waypoint": { + "lat": -29.71671, + "lon": -52.50321, + "name": "Vera Cruz" + }, + "question": "Is Vera Cruz approximately on the direct path from Kemisē to Trujillo?", + "ground_truth": { + "answer": true, + "direct_distance_km": 13316.6, + "via_waypoint_km": 14484.7, + "detour_km": 1168.1, + "detour_percent": 8.8 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Kemisē", + " End: Trujillo", + " Waypoint: Vera Cruz", + "Step 2: Calculate direct distance", + " Start → End: 13316.6 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 14484.7 km", + "Step 4: Calculate detour", + " Detour = 14484.7 - 13316.6 = 1168.1 km", + " Detour % = (1168.1 / 13316.6) × 100 = 8.8%", + "Step 5: Determine if on route (typically < 10% detour)", + " 8.8% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 18.6, + "lon": -96.15, + "name": "La Isla" + }, + "end": { + "lat": 7.3, + "lon": 38.65, + "name": "Kuyera" + }, + "waypoint": { + "lat": 24.19064, + "lon": 97.80191, + "name": "Zhangfeng" + }, + "question": "Is Zhangfeng approximately on the direct path from La Isla to Kuyera?", + "ground_truth": { + "answer": false, + "direct_distance_km": 14283.5, + "via_waypoint_km": 21575.6, + "detour_km": 7292.2, + "detour_percent": 51.1 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: La Isla", + " End: Kuyera", + " Waypoint: Zhangfeng", + "Step 2: Calculate direct distance", + " Start → End: 14283.5 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 21575.6 km", + "Step 4: Calculate detour", + " Detour = 21575.6 - 14283.5 = 7292.2 km", + " Detour % = (7292.2 / 14283.5) × 100 = 51.1%", + "Step 5: Determine if on route (typically < 10% detour)", + " 51.1% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 50.05, + "lon": 14.56667, + "name": "Horní Měcholupy" + }, + "end": { + "lat": -34.22997, + "lon": 19.4265, + "name": "Caledon" + }, + "waypoint": { + "lat": 41.27065, + "lon": -72.94705, + "name": "West Haven" + }, + "question": "Is West Haven approximately on the direct path from Horní Měcholupy to Caledon?", + "ground_truth": { + "answer": false, + "direct_distance_km": 9383.7, + "via_waypoint_km": 19081.2, + "detour_km": 9697.4, + "detour_percent": 103.3 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Horní Měcholupy", + " End: Caledon", + " Waypoint: West Haven", + "Step 2: Calculate direct distance", + " Start → End: 9383.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 19081.2 km", + "Step 4: Calculate detour", + " Detour = 19081.2 - 9383.7 = 9697.4 km", + " Detour % = (9697.4 / 9383.7) × 100 = 103.3%", + "Step 5: Determine if on route (typically < 10% detour)", + " 103.3% > 10%", + "FINAL ANSWER: No" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 25.03763, + "lon": 55.59135, + "name": "Lahbab" + }, + "end": { + "lat": 44.53674, + "lon": 125.69427, + "name": "Dehui" + }, + "waypoint": { + "lat": 42.87, + "lon": 74.59, + "name": "Bishkek" + }, + "question": "Is Bishkek approximately on the direct path from Lahbab to Dehui?", + "ground_truth": { + "answer": true, + "direct_distance_km": 6548.7, + "via_waypoint_km": 6677.7, + "detour_km": 129.0, + "detour_percent": 2.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Lahbab", + " End: Dehui", + " Waypoint: Bishkek", + "Step 2: Calculate direct distance", + " Start → End: 6548.7 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 6677.7 km", + "Step 4: Calculate detour", + " Detour = 6677.7 - 6548.7 = 129.0 km", + " Detour % = (129.0 / 6548.7) × 100 = 2.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2.0% < 10%", + "FINAL ANSWER: Yes" + ] + }, + { + "task": "route_analysis", + "subtask": "on_route_detection", + "start": { + "lat": 35.51124, + "lon": 24.02921, + "name": "Chaniá" + }, + "end": { + "lat": 33.11806, + "lon": 35.13972, + "name": "En Nâqoûra" + }, + "waypoint": { + "lat": -37.82289, + "lon": 147.61041, + "name": "Bairnsdale" + }, + "question": "Is Bairnsdale approximately on the direct path from Chaniá to En Nâqoûra?", + "ground_truth": { + "answer": false, + "direct_distance_km": 1053.9, + "via_waypoint_km": 29065.7, + "detour_km": 28011.8, + "detour_percent": 2658.0 + }, + "reasoning_steps": [ + "Step 1: Identify the three points", + " Start: Chaniá", + " End: En Nâqoûra", + " Waypoint: Bairnsdale", + "Step 2: Calculate direct distance", + " Start → End: 1053.9 km", + "Step 3: Calculate distance via waypoint", + " Start → Waypoint → End: 29065.7 km", + "Step 4: Calculate detour", + " Detour = 29065.7 - 1053.9 = 28011.8 km", + " Detour % = (28011.8 / 1053.9) × 100 = 2658.0%", + "Step 5: Determine if on route (typically < 10% detour)", + " 2658.0% > 10%", + "FINAL ANSWER: No" + ] + } +] \ No newline at end of file