[ { "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": "Aïn 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" ] } ]