[ { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 32.87533, "lon": 71.57118, "name": "Daud Khel" }, "end": { "lat": -34.57365, "lon": -58.44924, "name": "Colegiales" }, "waypoint": { "lat": 0.55667, "lon": 31.80222, "name": "Kasanda" }, "question": "Is Kasanda approximately on the direct path from Daud Khel to Colegiales?", "ground_truth": { "answer": true, "direct_distance_km": 15436.9, "via_waypoint_km": 15558.7, "detour_km": 121.8, "detour_percent": 0.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Daud Khel", " End: Colegiales", " Waypoint: Kasanda", "Step 2: Calculate direct distance", " Start → End: 15436.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15558.7 km", "Step 4: Calculate detour", " Detour = 15558.7 - 15436.9 = 121.8 km", " Detour % = (121.8 / 15436.9) × 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": 41.65541, "lon": -4.72353, "name": "Valladolid" }, "end": { "lat": 55.31274, "lon": 10.78964, "name": "Nyborg" }, "waypoint": { "lat": -28.01274, "lon": 27.08234, "name": "Phomolong" }, "question": "Is Phomolong approximately on the direct path from Valladolid to Nyborg?", "ground_truth": { "answer": false, "direct_distance_km": 1891.8, "via_waypoint_km": 17802.8, "detour_km": 15911.0, "detour_percent": 841.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Valladolid", " End: Nyborg", " Waypoint: Phomolong", "Step 2: Calculate direct distance", " Start → End: 1891.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17802.8 km", "Step 4: Calculate detour", " Detour = 17802.8 - 1891.8 = 15911.0 km", " Detour % = (15911.0 / 1891.8) × 100 = 841.0%", "Step 5: Determine if on route (typically < 10% detour)", " 841.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 31.24193, "lon": 30.94504, "name": "Ar Riyāḑ" }, "end": { "lat": 9.21866, "lon": 3.20117, "name": "Okuta" }, "waypoint": { "lat": -26.30497, "lon": 30.77365, "name": "Empuluzu" }, "question": "Is Empuluzu approximately on the direct path from Ar Riyāḑ to Okuta?", "ground_truth": { "answer": false, "direct_distance_km": 3769.5, "via_waypoint_km": 11346.0, "detour_km": 7576.4, "detour_percent": 201.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ar Riyāḑ", " End: Okuta", " Waypoint: Empuluzu", "Step 2: Calculate direct distance", " Start → End: 3769.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 11346.0 km", "Step 4: Calculate detour", " Detour = 11346.0 - 3769.5 = 7576.4 km", " Detour % = (7576.4 / 3769.5) × 100 = 201.0%", "Step 5: Determine if on route (typically < 10% detour)", " 201.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 15.31771, "lon": 78.22669, "name": "Banganapalle" }, "end": { "lat": 26.10611, "lon": 34.27716, "name": "Al Quşayr" }, "waypoint": { "lat": 38.63106, "lon": -8.91376, "name": "Pinhal Novo" }, "question": "Is Pinhal Novo approximately on the direct path from Banganapalle to Al Quşayr?", "ground_truth": { "answer": false, "direct_distance_km": 4702.1, "via_waypoint_km": 12953.0, "detour_km": 8250.8, "detour_percent": 175.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Banganapalle", " End: Al Quşayr", " Waypoint: Pinhal Novo", "Step 2: Calculate direct distance", " Start → End: 4702.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12953.0 km", "Step 4: Calculate detour", " Detour = 12953.0 - 4702.1 = 8250.8 km", " Detour % = (8250.8 / 4702.1) × 100 = 175.5%", "Step 5: Determine if on route (typically < 10% detour)", " 175.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 21.27914, "lon": -157.80135, "name": "Kaimukī" }, "end": { "lat": 3.6001, "lon": 98.4854, "name": "Binjai" }, "waypoint": { "lat": 51.47403, "lon": -0.06969, "name": "Peckham" }, "question": "Is Peckham approximately on the direct path from Kaimukī to Binjai?", "ground_truth": { "answer": false, "direct_distance_km": 11275.3, "via_waypoint_km": 21922.3, "detour_km": 10647.0, "detour_percent": 94.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kaimukī", " End: Binjai", " Waypoint: Peckham", "Step 2: Calculate direct distance", " Start → End: 11275.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21922.3 km", "Step 4: Calculate detour", " Detour = 21922.3 - 11275.3 = 10647.0 km", " Detour % = (10647.0 / 11275.3) × 100 = 94.4%", "Step 5: Determine if on route (typically < 10% detour)", " 94.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 49.759, "lon": 9.50852, "name": "Wertheim" }, "end": { "lat": 14.33505, "lon": -91.02339, "name": "Santa Lucía Cotzumalguapa" }, "waypoint": { "lat": 39.7765, "lon": -74.86238, "name": "Jackson" }, "question": "Is Jackson approximately on the direct path from Wertheim to Santa Lucía Cotzumalguapa?", "ground_truth": { "answer": true, "direct_distance_km": 9531.9, "via_waypoint_km": 9633.4, "detour_km": 101.6, "detour_percent": 1.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Wertheim", " End: Santa Lucía Cotzumalguapa", " Waypoint: Jackson", "Step 2: Calculate direct distance", " Start → End: 9531.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 9633.4 km", "Step 4: Calculate detour", " Detour = 9633.4 - 9531.9 = 101.6 km", " Detour % = (101.6 / 9531.9) × 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": 29.60018, "lon": 32.31671, "name": "Ain Sukhna" }, "end": { "lat": 4.2975, "lon": -75.09667, "name": "Payandé" }, "waypoint": { "lat": -9.4075, "lon": -36.07361, "name": "Capela" }, "question": "Is Capela approximately on the direct path from Ain Sukhna to Payandé?", "ground_truth": { "answer": false, "direct_distance_km": 11436.8, "via_waypoint_km": 13079.9, "detour_km": 1643.1, "detour_percent": 14.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ain Sukhna", " End: Payandé", " Waypoint: Capela", "Step 2: Calculate direct distance", " Start → End: 11436.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13079.9 km", "Step 4: Calculate detour", " Detour = 13079.9 - 11436.8 = 1643.1 km", " Detour % = (1643.1 / 11436.8) × 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": 32.29876, "lon": -90.18481, "name": "Jackson" }, "end": { "lat": 36.35, "lon": 140.3, "name": "Tomobe" }, "waypoint": { "lat": -4.39143, "lon": -59.58864, "name": "Borba" }, "question": "Is Borba approximately on the direct path from Jackson to Tomobe?", "ground_truth": { "answer": false, "direct_distance_km": 10751.3, "via_waypoint_km": 21125.0, "detour_km": 10373.7, "detour_percent": 96.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Jackson", " End: Tomobe", " Waypoint: Borba", "Step 2: Calculate direct distance", " Start → End: 10751.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21125.0 km", "Step 4: Calculate detour", " Detour = 21125.0 - 10751.3 = 10373.7 km", " Detour % = (10373.7 / 10751.3) × 100 = 96.5%", "Step 5: Determine if on route (typically < 10% detour)", " 96.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 5.2056, "lon": 103.2059, "name": "Marang" }, "end": { "lat": 13.87992, "lon": 120.92311, "name": "Taal" }, "waypoint": { "lat": -23.10407, "lon": 26.81421, "name": "Mahalapye" }, "question": "Is Mahalapye approximately on the direct path from Marang to Taal?", "ground_truth": { "answer": false, "direct_distance_km": 2167.1, "via_waypoint_km": 19874.1, "detour_km": 17707.1, "detour_percent": 817.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Marang", " End: Taal", " Waypoint: Mahalapye", "Step 2: Calculate direct distance", " Start → End: 2167.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19874.1 km", "Step 4: Calculate detour", " Detour = 19874.1 - 2167.1 = 17707.1 km", " Detour % = (17707.1 / 2167.1) × 100 = 817.1%", "Step 5: Determine if on route (typically < 10% detour)", " 817.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 8.28333, "lon": 37.78333, "name": "Welk’īt’ē" }, "end": { "lat": 8.66762, "lon": 3.39393, "name": "Saki" }, "waypoint": { "lat": 51.22097, "lon": 18.56964, "name": "Wieluń" }, "question": "Is Wieluń approximately on the direct path from Welk’īt’ē to Saki?", "ground_truth": { "answer": false, "direct_distance_km": 3781.1, "via_waypoint_km": 10020.8, "detour_km": 6239.7, "detour_percent": 165.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Welk’īt’ē", " End: Saki", " Waypoint: Wieluń", "Step 2: Calculate direct distance", " Start → End: 3781.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 10020.8 km", "Step 4: Calculate detour", " Detour = 10020.8 - 3781.1 = 6239.7 km", " Detour % = (6239.7 / 3781.1) × 100 = 165.0%", "Step 5: Determine if on route (typically < 10% detour)", " 165.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 27.93043, "lon": 30.83826, "name": "Abū Qurqāş" }, "end": { "lat": 10.44472, "lon": -75.36972, "name": "Santa Rosa" }, "waypoint": { "lat": -7.9575, "lon": -36.20472, "name": "Santa Cruz do Capibaribe" }, "question": "Is Santa Cruz do Capibaribe approximately on the direct path from Abū Qurqāş to Santa Rosa?", "ground_truth": { "answer": false, "direct_distance_km": 11015.9, "via_waypoint_km": 13016.7, "detour_km": 2000.8, "detour_percent": 18.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Abū Qurqāş", " End: Santa Rosa", " Waypoint: Santa Cruz do Capibaribe", "Step 2: Calculate direct distance", " Start → End: 11015.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13016.7 km", "Step 4: Calculate detour", " Detour = 13016.7 - 11015.9 = 2000.8 km", " Detour % = (2000.8 / 11015.9) × 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": 50.85974, "lon": 16.31966, "name": "Świebodzice" }, "end": { "lat": -10.98303, "lon": 26.7384, "name": "Likasi" }, "waypoint": { "lat": 25.22099, "lon": 88.77732, "name": "Bālurghāt" }, "question": "Is Bālurghāt approximately on the direct path from Świebodzice to Likasi?", "ground_truth": { "answer": false, "direct_distance_km": 6950.2, "via_waypoint_km": 14482.1, "detour_km": 7531.9, "detour_percent": 108.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Świebodzice", " End: Likasi", " Waypoint: Bālurghāt", "Step 2: Calculate direct distance", " Start → End: 6950.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14482.1 km", "Step 4: Calculate detour", " Detour = 14482.1 - 6950.2 = 7531.9 km", " Detour % = (7531.9 / 6950.2) × 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": 11.19152, "lon": 40.01675, "name": "Batī" }, "end": { "lat": 29.33472, "lon": 106.65222, "name": "Nanpeng" }, "waypoint": { "lat": -37.87397, "lon": 145.04253, "name": "Malvern East" }, "question": "Is Malvern East approximately on the direct path from Batī to Nanpeng?", "ground_truth": { "answer": false, "direct_distance_km": 7145.7, "via_waypoint_km": 20554.8, "detour_km": 13409.1, "detour_percent": 187.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Batī", " End: Nanpeng", " Waypoint: Malvern East", "Step 2: Calculate direct distance", " Start → End: 7145.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20554.8 km", "Step 4: Calculate detour", " Detour = 20554.8 - 7145.7 = 13409.1 km", " Detour % = (13409.1 / 7145.7) × 100 = 187.7%", "Step 5: Determine if on route (typically < 10% detour)", " 187.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 29.16242, "lon": 78.48458, "name": "Tājpur" }, "end": { "lat": 40.28256, "lon": 69.62216, "name": "Khujand" }, "waypoint": { "lat": 35.48171, "lon": 6.26074, "name": "Tazoult-Lambese" }, "question": "Is Tazoult-Lambese approximately on the direct path from Tājpur to Khujand?", "ground_truth": { "answer": false, "direct_distance_km": 1476.3, "via_waypoint_km": 12139.7, "detour_km": 10663.3, "detour_percent": 722.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Tājpur", " End: Khujand", " Waypoint: Tazoult-Lambese", "Step 2: Calculate direct distance", " Start → End: 1476.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12139.7 km", "Step 4: Calculate detour", " Detour = 12139.7 - 1476.3 = 10663.3 km", " Detour % = (10663.3 / 1476.3) × 100 = 722.3%", "Step 5: Determine if on route (typically < 10% detour)", " 722.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 7.75537, "lon": -0.98085, "name": "Atebubu" }, "end": { "lat": -12.15, "lon": 18.08333, "name": "Cuemba" }, "waypoint": { "lat": 1.74016, "lon": 98.78117, "name": "Sibolga" }, "question": "Is Sibolga approximately on the direct path from Atebubu to Cuemba?", "ground_truth": { "answer": false, "direct_distance_km": 3056.2, "via_waypoint_km": 20094.3, "detour_km": 17038.0, "detour_percent": 557.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Atebubu", " End: Cuemba", " Waypoint: Sibolga", "Step 2: Calculate direct distance", " Start → End: 3056.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20094.3 km", "Step 4: Calculate detour", " Detour = 20094.3 - 3056.2 = 17038.0 km", " Detour % = (17038.0 / 3056.2) × 100 = 557.5%", "Step 5: Determine if on route (typically < 10% detour)", " 557.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 29.68242, "lon": 105.93551, "name": "Wangu" }, "end": { "lat": 24.40796, "lon": 32.92324, "name": "Darāw" }, "waypoint": { "lat": -3.85444, "lon": -40.92111, "name": "Ubajara" }, "question": "Is Ubajara approximately on the direct path from Wangu to Darāw?", "ground_truth": { "answer": false, "direct_distance_km": 7134.9, "via_waypoint_km": 24060.2, "detour_km": 16925.3, "detour_percent": 237.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Wangu", " End: Darāw", " Waypoint: Ubajara", "Step 2: Calculate direct distance", " Start → End: 7134.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24060.2 km", "Step 4: Calculate detour", " Detour = 24060.2 - 7134.9 = 16925.3 km", " Detour % = (16925.3 / 7134.9) × 100 = 237.2%", "Step 5: Determine if on route (typically < 10% detour)", " 237.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -13.45287, "lon": -39.4208, "name": "Presidente Tancredo Neves" }, "end": { "lat": 7.95642, "lon": -72.24235, "name": "Michelena" }, "waypoint": { "lat": 28.74222, "lon": 106.71111, "name": "Ganshui" }, "question": "Is Ganshui approximately on the direct path from Presidente Tancredo Neves to Michelena?", "ground_truth": { "answer": false, "direct_distance_km": 4335.7, "via_waypoint_km": 32064.6, "detour_km": 27728.9, "detour_percent": 639.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Presidente Tancredo Neves", " End: Michelena", " Waypoint: Ganshui", "Step 2: Calculate direct distance", " Start → End: 4335.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 32064.6 km", "Step 4: Calculate detour", " Detour = 32064.6 - 4335.7 = 27728.9 km", " Detour % = (27728.9 / 4335.7) × 100 = 639.5%", "Step 5: Determine if on route (typically < 10% detour)", " 639.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 48.14146, "lon": 11.45599, "name": "Pasing" }, "end": { "lat": 13.049, "lon": 3.1937, "name": "Dosso" }, "waypoint": { "lat": 7.82472, "lon": -72.3084, "name": "Capacho Nuevo" }, "question": "Is Capacho Nuevo approximately on the direct path from Pasing to Dosso?", "ground_truth": { "answer": false, "direct_distance_km": 3976.3, "via_waypoint_km": 17148.7, "detour_km": 13172.4, "detour_percent": 331.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Pasing", " End: Dosso", " Waypoint: Capacho Nuevo", "Step 2: Calculate direct distance", " Start → End: 3976.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17148.7 km", "Step 4: Calculate detour", " Detour = 17148.7 - 3976.3 = 13172.4 km", " Detour % = (13172.4 / 3976.3) × 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": -28.62145, "lon": -49.02529, "name": "Jaguaruna" }, "end": { "lat": 34.37094, "lon": -5.2138, "name": "Karia Ba Mohamed" }, "waypoint": { "lat": 30.63269, "lon": -97.67723, "name": "Georgetown" }, "question": "Is Georgetown approximately on the direct path from Jaguaruna to Karia Ba Mohamed?", "ground_truth": { "answer": false, "direct_distance_km": 8381.8, "via_waypoint_km": 16716.2, "detour_km": 8334.4, "detour_percent": 99.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Jaguaruna", " End: Karia Ba Mohamed", " Waypoint: Georgetown", "Step 2: Calculate direct distance", " Start → End: 8381.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16716.2 km", "Step 4: Calculate detour", " Detour = 16716.2 - 8381.8 = 8334.4 km", " Detour % = (8334.4 / 8381.8) × 100 = 99.4%", "Step 5: Determine if on route (typically < 10% detour)", " 99.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 33.48778, "lon": 48.35583, "name": "Khorramabad" }, "end": { "lat": 11.73292, "lon": 41.082, "name": "Dubti" }, "waypoint": { "lat": -3.28333, "lon": 36.98333, "name": "Kingori" }, "question": "Is Kingori approximately on the direct path from Khorramabad to Dubti?", "ground_truth": { "answer": false, "direct_distance_km": 2529.6, "via_waypoint_km": 5989.8, "detour_km": 3460.2, "detour_percent": 136.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Khorramabad", " End: Dubti", " Waypoint: Kingori", "Step 2: Calculate direct distance", " Start → End: 2529.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 5989.8 km", "Step 4: Calculate detour", " Detour = 5989.8 - 2529.6 = 3460.2 km", " Detour % = (3460.2 / 2529.6) × 100 = 136.8%", "Step 5: Determine if on route (typically < 10% detour)", " 136.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 12.70806, "lon": -15.55694, "name": "Sédhiou" }, "end": { "lat": 48.62605, "lon": 2.60125, "name": "Moissy-Cramayel" }, "waypoint": { "lat": 38.8411, "lon": -9.09908, "name": "Santa Iria da Azóia" }, "question": "Is Santa Iria da Azóia approximately on the direct path from Sédhiou to Moissy-Cramayel?", "ground_truth": { "answer": true, "direct_distance_km": 4330.5, "via_waypoint_km": 4409.4, "detour_km": 78.9, "detour_percent": 1.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Sédhiou", " End: Moissy-Cramayel", " Waypoint: Santa Iria da Azóia", "Step 2: Calculate direct distance", " Start → End: 4330.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 4409.4 km", "Step 4: Calculate detour", " Detour = 4409.4 - 4330.5 = 78.9 km", " Detour % = (78.9 / 4330.5) × 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": 58.45073, "lon": 92.17243, "name": "Yeniseysk" }, "end": { "lat": 33.78252, "lon": -117.22865, "name": "Perris" }, "waypoint": { "lat": 22.24115, "lon": 114.15523, "name": "Lei Tung Estate" }, "question": "Is Lei Tung Estate approximately on the direct path from Yeniseysk to Perris?", "ground_truth": { "answer": false, "direct_distance_km": 9401.5, "via_waypoint_km": 16139.0, "detour_km": 6737.5, "detour_percent": 71.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Yeniseysk", " End: Perris", " Waypoint: Lei Tung Estate", "Step 2: Calculate direct distance", " Start → End: 9401.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16139.0 km", "Step 4: Calculate detour", " Detour = 16139.0 - 9401.5 = 6737.5 km", " Detour % = (6737.5 / 9401.5) × 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": 21.16139, "lon": -76.47919, "name": "Jesús Menéndez" }, "end": { "lat": 43.7525, "lon": -79.54417, "name": "Humbermede" }, "waypoint": { "lat": 51.25435, "lon": 6.39441, "name": "Viersen" }, "question": "Is Viersen approximately on the direct path from Jesús Menéndez to Humbermede?", "ground_truth": { "answer": false, "direct_distance_km": 2527.9, "via_waypoint_km": 13835.3, "detour_km": 11307.4, "detour_percent": 447.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Jesús Menéndez", " End: Humbermede", " Waypoint: Viersen", "Step 2: Calculate direct distance", " Start → End: 2527.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13835.3 km", "Step 4: Calculate detour", " Detour = 13835.3 - 2527.9 = 11307.4 km", " Detour % = (11307.4 / 2527.9) × 100 = 447.3%", "Step 5: Determine if on route (typically < 10% detour)", " 447.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -6.75459, "lon": -35.66449, "name": "Solânea" }, "end": { "lat": -38.11342, "lon": 145.28326, "name": "Cranbourne" }, "waypoint": { "lat": 41.58098, "lon": 1.6172, "name": "Igualada" }, "question": "Is Igualada approximately on the direct path from Solânea to Cranbourne?", "ground_truth": { "answer": false, "direct_distance_km": 15025.0, "via_waypoint_km": 23488.2, "detour_km": 8463.2, "detour_percent": 56.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Solânea", " End: Cranbourne", " Waypoint: Igualada", "Step 2: Calculate direct distance", " Start → End: 15025.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23488.2 km", "Step 4: Calculate detour", " Detour = 23488.2 - 15025.0 = 8463.2 km", " Detour % = (8463.2 / 15025.0) × 100 = 56.3%", "Step 5: Determine if on route (typically < 10% detour)", " 56.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -37.8, "lon": 144.96667, "name": "Carlton" }, "end": { "lat": -36.88333, "lon": 174.7, "name": "Avondale" }, "waypoint": { "lat": 49.94839, "lon": 15.26816, "name": "Kutná Hora" }, "question": "Is Kutná Hora approximately on the direct path from Carlton to Avondale?", "ground_truth": { "answer": false, "direct_distance_km": 2619.4, "via_waypoint_km": 33672.7, "detour_km": 31053.3, "detour_percent": 1185.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Carlton", " End: Avondale", " Waypoint: Kutná Hora", "Step 2: Calculate direct distance", " Start → End: 2619.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 33672.7 km", "Step 4: Calculate detour", " Detour = 33672.7 - 2619.4 = 31053.3 km", " Detour % = (31053.3 / 2619.4) × 100 = 1185.5%", "Step 5: Determine if on route (typically < 10% detour)", " 1185.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 35.74788, "lon": -95.36969, "name": "Muskogee" }, "end": { "lat": 0.68944, "lon": 32.42139, "name": "Namasuba" }, "waypoint": { "lat": 50.92149, "lon": 6.36267, "name": "Jülich" }, "question": "Is Jülich approximately on the direct path from Muskogee to Namasuba?", "ground_truth": { "answer": true, "direct_distance_km": 13272.0, "via_waypoint_km": 13832.9, "detour_km": 560.9, "detour_percent": 4.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Muskogee", " End: Namasuba", " Waypoint: Jülich", "Step 2: Calculate direct distance", " Start → End: 13272.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13832.9 km", "Step 4: Calculate detour", " Detour = 13832.9 - 13272.0 = 560.9 km", " Detour % = (560.9 / 13272.0) × 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": -18.11094, "lon": 178.40943, "name": "Lami" }, "end": { "lat": -10.2621, "lon": 29.92712, "name": "Luwingu" }, "waypoint": { "lat": 15.64925, "lon": 32.53458, "name": "Khartoum North" }, "question": "Is Khartoum North approximately on the direct path from Lami to Luwingu?", "ground_truth": { "answer": false, "direct_distance_km": 15333.1, "via_waypoint_km": 19274.2, "detour_km": 3941.1, "detour_percent": 25.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Lami", " End: Luwingu", " Waypoint: Khartoum North", "Step 2: Calculate direct distance", " Start → End: 15333.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19274.2 km", "Step 4: Calculate detour", " Detour = 19274.2 - 15333.1 = 3941.1 km", " Detour % = (3941.1 / 15333.1) × 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": 53.58333, "lon": -2.43333, "name": "Bolton" }, "end": { "lat": 20.78919, "lon": 97.03776, "name": "Taunggyi" }, "waypoint": { "lat": -23.65506, "lon": 27.62495, "name": "Marapong" }, "question": "Is Marapong approximately on the direct path from Bolton to Taunggyi?", "ground_truth": { "answer": false, "direct_distance_km": 8761.8, "via_waypoint_km": 18054.8, "detour_km": 9293.0, "detour_percent": 106.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Bolton", " End: Taunggyi", " Waypoint: Marapong", "Step 2: Calculate direct distance", " Start → End: 8761.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18054.8 km", "Step 4: Calculate detour", " Detour = 18054.8 - 8761.8 = 9293.0 km", " Detour % = (9293.0 / 8761.8) × 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": 6.2355, "lon": 80.0538, "name": "Ambalangoda" }, "end": { "lat": 27.4, "lon": 74.91667, "name": "Losal" }, "waypoint": { "lat": -15.73691, "lon": 26.04155, "name": "Itezhi-Tezhi" }, "question": "Is Itezhi-Tezhi approximately on the direct path from Ambalangoda to Losal?", "ground_truth": { "answer": false, "direct_distance_km": 2415.2, "via_waypoint_km": 13552.4, "detour_km": 11137.3, "detour_percent": 461.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ambalangoda", " End: Losal", " Waypoint: Itezhi-Tezhi", "Step 2: Calculate direct distance", " Start → End: 2415.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13552.4 km", "Step 4: Calculate detour", " Detour = 13552.4 - 2415.2 = 11137.3 km", " Detour % = (11137.3 / 2415.2) × 100 = 461.1%", "Step 5: Determine if on route (typically < 10% detour)", " 461.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 25.54389, "lon": -103.41898, "name": "Torreón" }, "end": { "lat": 51.20219, "lon": 7.36027, "name": "Radevormwald" }, "waypoint": { "lat": 11.29845, "lon": 2.43856, "name": "Banikoara" }, "question": "Is Banikoara approximately on the direct path from Torreón to Radevormwald?", "ground_truth": { "answer": false, "direct_distance_km": 9141.6, "via_waypoint_km": 15473.3, "detour_km": 6331.7, "detour_percent": 69.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Torreón", " End: Radevormwald", " Waypoint: Banikoara", "Step 2: Calculate direct distance", " Start → End: 9141.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15473.3 km", "Step 4: Calculate detour", " Detour = 15473.3 - 9141.6 = 6331.7 km", " Detour % = (6331.7 / 9141.6) × 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": 25.13915, "lon": 73.06784, "name": "Sheoganj" }, "end": { "lat": 32.6856, "lon": 51.53609, "name": "Khomeynī Shahr" }, "waypoint": { "lat": -6.55573, "lon": -47.44149, "name": "Estreito" }, "question": "Is Estreito approximately on the direct path from Sheoganj to Khomeynī Shahr?", "ground_truth": { "answer": false, "direct_distance_km": 2252.1, "via_waypoint_km": 24620.2, "detour_km": 22368.0, "detour_percent": 993.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Sheoganj", " End: Khomeynī Shahr", " Waypoint: Estreito", "Step 2: Calculate direct distance", " Start → End: 2252.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24620.2 km", "Step 4: Calculate detour", " Detour = 24620.2 - 2252.1 = 22368.0 km", " Detour % = (22368.0 / 2252.1) × 100 = 993.2%", "Step 5: Determine if on route (typically < 10% detour)", " 993.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 41.76371, "lon": -72.68509, "name": "Hartford" }, "end": { "lat": 3.52973, "lon": -75.64525, "name": "Rioblanco" }, "waypoint": { "lat": 24.07165, "lon": 71.59745, "name": "Bhābhar" }, "question": "Is Bhābhar approximately on the direct path from Hartford to Rioblanco?", "ground_truth": { "answer": false, "direct_distance_km": 4261.6, "via_waypoint_km": 27151.0, "detour_km": 22889.4, "detour_percent": 537.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Hartford", " End: Rioblanco", " Waypoint: Bhābhar", "Step 2: Calculate direct distance", " Start → End: 4261.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 27151.0 km", "Step 4: Calculate detour", " Detour = 27151.0 - 4261.6 = 22889.4 km", " Detour % = (22889.4 / 4261.6) × 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": 13.10778, "lon": 80.12056, "name": "Reddipālaiyam" }, "end": { "lat": -4.36667, "lon": 34.2, "name": "Shelui" }, "waypoint": { "lat": -23.59632, "lon": -46.70802, "name": "Morumbi" }, "question": "Is Morumbi approximately on the direct path from Reddipālaiyam to Shelui?", "ground_truth": { "answer": false, "direct_distance_km": 5429.6, "via_waypoint_km": 23202.8, "detour_km": 17773.2, "detour_percent": 327.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Reddipālaiyam", " End: Shelui", " Waypoint: Morumbi", "Step 2: Calculate direct distance", " Start → End: 5429.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23202.8 km", "Step 4: Calculate detour", " Detour = 23202.8 - 5429.6 = 17773.2 km", " Detour % = (17773.2 / 5429.6) × 100 = 327.3%", "Step 5: Determine if on route (typically < 10% detour)", " 327.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 0.39241, "lon": 9.45356, "name": "Libreville" }, "end": { "lat": 59.36128, "lon": 17.97114, "name": "Sundbyberg" }, "waypoint": { "lat": 41.38879, "lon": 2.15899, "name": "Barcelona" }, "question": "Is Barcelona approximately on the direct path from Libreville to Sundbyberg?", "ground_truth": { "answer": true, "direct_distance_km": 6598.7, "via_waypoint_km": 6895.6, "detour_km": 296.8, "detour_percent": 4.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Libreville", " End: Sundbyberg", " Waypoint: Barcelona", "Step 2: Calculate direct distance", " Start → End: 6598.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 6895.6 km", "Step 4: Calculate detour", " Detour = 6895.6 - 6598.7 = 296.8 km", " Detour % = (296.8 / 6598.7) × 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": 37.76354, "lon": 139.02199, "name": "Shirone" }, "end": { "lat": 25.26743, "lon": 73.23933, "name": "Fālna" }, "waypoint": { "lat": 41.03903, "lon": 28.85671, "name": "Bağcılar" }, "question": "Is Bağcılar approximately on the direct path from Shirone to Fālna?", "ground_truth": { "answer": false, "direct_distance_km": 6261.7, "via_waypoint_km": 13178.2, "detour_km": 6916.5, "detour_percent": 110.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Shirone", " End: Fālna", " Waypoint: Bağcılar", "Step 2: Calculate direct distance", " Start → End: 6261.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13178.2 km", "Step 4: Calculate detour", " Detour = 13178.2 - 6261.7 = 6916.5 km", " Detour % = (6916.5 / 6261.7) × 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": 53.5441, "lon": 10.20048, "name": "Glinde" }, "end": { "lat": -20.28389, "lon": -42.34111, "name": "Matipó" }, "waypoint": { "lat": 40.9983, "lon": 71.67257, "name": "Namangan" }, "question": "Is Namangan approximately on the direct path from Glinde to Matipó?", "ground_truth": { "answer": false, "direct_distance_km": 9624.1, "via_waypoint_km": 18140.8, "detour_km": 8516.6, "detour_percent": 88.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Glinde", " End: Matipó", " Waypoint: Namangan", "Step 2: Calculate direct distance", " Start → End: 9624.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18140.8 km", "Step 4: Calculate detour", " Detour = 18140.8 - 9624.1 = 8516.6 km", " Detour % = (8516.6 / 9624.1) × 100 = 88.5%", "Step 5: Determine if on route (typically < 10% detour)", " 88.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 32.59208, "lon": -96.75611, "name": "Lancaster" }, "end": { "lat": 30.39607, "lon": 114.88655, "name": "E’zhou" }, "waypoint": { "lat": 36.65, "lon": 138.18333, "name": "Nagano" }, "question": "Is Nagano approximately on the direct path from Lancaster to E’zhou?", "ground_truth": { "answer": true, "direct_distance_km": 12259.4, "via_waypoint_km": 12695.2, "detour_km": 435.9, "detour_percent": 3.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Lancaster", " End: E’zhou", " Waypoint: Nagano", "Step 2: Calculate direct distance", " Start → End: 12259.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12695.2 km", "Step 4: Calculate detour", " Detour = 12695.2 - 12259.4 = 435.9 km", " Detour % = (435.9 / 12259.4) × 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": -3.74611, "lon": -39.78333, "name": "Irauçuba" }, "end": { "lat": -4.25691, "lon": -80.88599, "name": "La Breita" }, "waypoint": { "lat": 29.14551, "lon": 77.61433, "name": "Sardhana" }, "question": "Is Sardhana approximately on the direct path from Irauçuba to La Breita?", "ground_truth": { "answer": false, "direct_distance_km": 4559.1, "via_waypoint_km": 29298.2, "detour_km": 24739.1, "detour_percent": 542.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Irauçuba", " End: La Breita", " Waypoint: Sardhana", "Step 2: Calculate direct distance", " Start → End: 4559.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 29298.2 km", "Step 4: Calculate detour", " Detour = 29298.2 - 4559.1 = 24739.1 km", " Detour % = (24739.1 / 4559.1) × 100 = 542.6%", "Step 5: Determine if on route (typically < 10% detour)", " 542.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 40.70621, "lon": -74.54932, "name": "Basking Ridge" }, "end": { "lat": 40.27948, "lon": -86.51084, "name": "Frankfort" }, "waypoint": { "lat": 37.74293, "lon": -0.95396, "name": "Torre-Pacheco" }, "question": "Is Torre-Pacheco approximately on the direct path from Basking Ridge to Frankfort?", "ground_truth": { "answer": false, "direct_distance_km": 1011.8, "via_waypoint_km": 13242.4, "detour_km": 12230.5, "detour_percent": 1208.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Basking Ridge", " End: Frankfort", " Waypoint: Torre-Pacheco", "Step 2: Calculate direct distance", " Start → End: 1011.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13242.4 km", "Step 4: Calculate detour", " Detour = 13242.4 - 1011.8 = 12230.5 km", " Detour % = (12230.5 / 1011.8) × 100 = 1208.8%", "Step 5: Determine if on route (typically < 10% detour)", " 1208.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 29.70523, "lon": -95.12382, "name": "Deer Park" }, "end": { "lat": 32.97866, "lon": -115.53027, "name": "Brawley" }, "waypoint": { "lat": 49.4, "lon": 6.7, "name": "Beckingen" }, "question": "Is Beckingen approximately on the direct path from Deer Park to Brawley?", "ground_truth": { "answer": false, "direct_distance_km": 1968.6, "via_waypoint_km": 17556.5, "detour_km": 15587.9, "detour_percent": 791.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Deer Park", " End: Brawley", " Waypoint: Beckingen", "Step 2: Calculate direct distance", " Start → End: 1968.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17556.5 km", "Step 4: Calculate detour", " Detour = 17556.5 - 1968.6 = 15587.9 km", " Detour % = (15587.9 / 1968.6) × 100 = 791.8%", "Step 5: Determine if on route (typically < 10% detour)", " 791.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 51.49271, "lon": -0.25801, "name": "Chiswick" }, "end": { "lat": 40.35579, "lon": -3.69914, "name": "Los Angeles" }, "waypoint": { "lat": 14.71889, "lon": -90.64417, "name": "San Juan Sacatepéquez" }, "question": "Is San Juan Sacatepéquez approximately on the direct path from Chiswick to Los Angeles?", "ground_truth": { "answer": false, "direct_distance_km": 1266.3, "via_waypoint_km": 17458.7, "detour_km": 16192.4, "detour_percent": 1278.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Chiswick", " End: Los Angeles", " Waypoint: San Juan Sacatepéquez", "Step 2: Calculate direct distance", " Start → End: 1266.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17458.7 km", "Step 4: Calculate detour", " Detour = 17458.7 - 1266.3 = 16192.4 km", " Detour % = (16192.4 / 1266.3) × 100 = 1278.7%", "Step 5: Determine if on route (typically < 10% detour)", " 1278.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 42.10752, "lon": 43.03291, "name": "Zestaponi" }, "end": { "lat": 32.17629, "lon": 75.06583, "name": "Fazilpur" }, "waypoint": { "lat": -26.31905, "lon": 27.6486, "name": "Westonaria" }, "question": "Is Westonaria approximately on the direct path from Zestaponi to Fazilpur?", "ground_truth": { "answer": false, "direct_distance_km": 3024.6, "via_waypoint_km": 15988.8, "detour_km": 12964.2, "detour_percent": 428.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Zestaponi", " End: Fazilpur", " Waypoint: Westonaria", "Step 2: Calculate direct distance", " Start → End: 3024.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15988.8 km", "Step 4: Calculate detour", " Detour = 15988.8 - 3024.6 = 12964.2 km", " Detour % = (12964.2 / 3024.6) × 100 = 428.6%", "Step 5: Determine if on route (typically < 10% detour)", " 428.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 41.97263, "lon": -71.32474, "name": "North Attleborough Center" }, "end": { "lat": -37.87552, "lon": -67.79451, "name": "Catriel" }, "waypoint": { "lat": 4.93422, "lon": -1.71454, "name": "Sekondi" }, "question": "Is Sekondi approximately on the direct path from North Attleborough Center to Catriel?", "ground_truth": { "answer": false, "direct_distance_km": 8885.9, "via_waypoint_km": 16253.8, "detour_km": 7367.9, "detour_percent": 82.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: North Attleborough Center", " End: Catriel", " Waypoint: Sekondi", "Step 2: Calculate direct distance", " Start → End: 8885.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16253.8 km", "Step 4: Calculate detour", " Detour = 16253.8 - 8885.9 = 7367.9 km", " Detour % = (7367.9 / 8885.9) × 100 = 82.9%", "Step 5: Determine if on route (typically < 10% detour)", " 82.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -10.07531, "lon": 17.55058, "name": "Cambundi Catembo" }, "end": { "lat": 23.74079, "lon": 86.41456, "name": "Jharia" }, "waypoint": { "lat": 38.41258, "lon": -82.70905, "name": "Meads" }, "question": "Is Meads approximately on the direct path from Cambundi Catembo to Jharia?", "ground_truth": { "answer": false, "direct_distance_km": 8367.8, "via_waypoint_km": 24603.2, "detour_km": 16235.4, "detour_percent": 194.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Cambundi Catembo", " End: Jharia", " Waypoint: Meads", "Step 2: Calculate direct distance", " Start → End: 8367.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24603.2 km", "Step 4: Calculate detour", " Detour = 24603.2 - 8367.8 = 16235.4 km", " Detour % = (16235.4 / 8367.8) × 100 = 194.0%", "Step 5: Determine if on route (typically < 10% detour)", " 194.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 43.58, "lon": 21.33389, "name": "Kruševac" }, "end": { "lat": 35.52832, "lon": -0.19369, "name": "Sig" }, "waypoint": { "lat": -17.01037, "lon": -46.00851, "name": "Brasilândia de Minas" }, "question": "Is Brasilândia de Minas approximately on the direct path from Kruševac to Sig?", "ground_truth": { "answer": false, "direct_distance_km": 2043.2, "via_waypoint_km": 17168.3, "detour_km": 15125.2, "detour_percent": 740.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kruševac", " End: Sig", " Waypoint: Brasilândia de Minas", "Step 2: Calculate direct distance", " Start → End: 2043.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17168.3 km", "Step 4: Calculate detour", " Detour = 17168.3 - 2043.2 = 15125.2 km", " Detour % = (15125.2 / 2043.2) × 100 = 740.3%", "Step 5: Determine if on route (typically < 10% detour)", " 740.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 51.83652, "lon": 4.97243, "name": "Gorinchem" }, "end": { "lat": 38.3964, "lon": -0.5255, "name": "San Vicent del Raspeig" }, "waypoint": { "lat": 51.57452, "lon": -3.218, "name": "Caerphilly" }, "question": "Is Caerphilly approximately on the direct path from Gorinchem to San Vicent del Raspeig?", "ground_truth": { "answer": false, "direct_distance_km": 1554.4, "via_waypoint_km": 2045.1, "detour_km": 490.8, "detour_percent": 31.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Gorinchem", " End: San Vicent del Raspeig", " Waypoint: Caerphilly", "Step 2: Calculate direct distance", " Start → End: 1554.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 2045.1 km", "Step 4: Calculate detour", " Detour = 2045.1 - 1554.4 = 490.8 km", " Detour % = (490.8 / 1554.4) × 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": 34.84606, "lon": -6.06645, "name": "Lalla Mimouna" }, "end": { "lat": -15.76911, "lon": 28.18136, "name": "Kafue" }, "waypoint": { "lat": 52.18848, "lon": 8.6922, "name": "Löhne" }, "question": "Is Löhne approximately on the direct path from Lalla Mimouna to Kafue?", "ground_truth": { "answer": false, "direct_distance_km": 6689.5, "via_waypoint_km": 10043.6, "detour_km": 3354.1, "detour_percent": 50.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Lalla Mimouna", " End: Kafue", " Waypoint: Löhne", "Step 2: Calculate direct distance", " Start → End: 6689.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 10043.6 km", "Step 4: Calculate detour", " Detour = 10043.6 - 6689.5 = 3354.1 km", " Detour % = (3354.1 / 6689.5) × 100 = 50.1%", "Step 5: Determine if on route (typically < 10% detour)", " 50.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 5.68476, "lon": -0.04011, "name": "Lashibi" }, "end": { "lat": 29.39553, "lon": 107.53939, "name": "Baima" }, "waypoint": { "lat": 55.7, "lon": 37.75, "name": "Novyye Kuz’minki" }, "question": "Is Novyye Kuz’minki approximately on the direct path from Lashibi to Baima?", "ground_truth": { "answer": false, "direct_distance_km": 11376.5, "via_waypoint_km": 12590.3, "detour_km": 1213.8, "detour_percent": 10.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Lashibi", " End: Baima", " Waypoint: Novyye Kuz’minki", "Step 2: Calculate direct distance", " Start → End: 11376.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12590.3 km", "Step 4: Calculate detour", " Detour = 12590.3 - 11376.5 = 1213.8 km", " Detour % = (1213.8 / 11376.5) × 100 = 10.7%", "Step 5: Determine if on route (typically < 10% detour)", " 10.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -23.35611, "lon": -46.87694, "name": "Cajamar" }, "end": { "lat": -2.31695, "lon": 29.24413, "name": "Karambi" }, "waypoint": { "lat": 44.27804, "lon": -88.27205, "name": "Kaukauna" }, "question": "Is Kaukauna approximately on the direct path from Cajamar to Karambi?", "ground_truth": { "answer": false, "direct_distance_km": 8489.3, "via_waypoint_km": 20963.6, "detour_km": 12474.3, "detour_percent": 146.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Cajamar", " End: Karambi", " Waypoint: Kaukauna", "Step 2: Calculate direct distance", " Start → End: 8489.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20963.6 km", "Step 4: Calculate detour", " Detour = 20963.6 - 8489.3 = 12474.3 km", " Detour % = (12474.3 / 8489.3) × 100 = 146.9%", "Step 5: Determine if on route (typically < 10% detour)", " 146.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 36.13981, "lon": -96.10889, "name": "Sand Springs" }, "end": { "lat": 43.31195, "lon": 45.68895, "name": "Grozny" }, "waypoint": { "lat": -15.63361, "lon": -47.83478, "name": "Sobradinho II" }, "question": "Is Sobradinho II approximately on the direct path from Sand Springs to Grozny?", "ground_truth": { "answer": false, "direct_distance_km": 10372.3, "via_waypoint_km": 19142.8, "detour_km": 8770.6, "detour_percent": 84.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Sand Springs", " End: Grozny", " Waypoint: Sobradinho II", "Step 2: Calculate direct distance", " Start → End: 10372.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19142.8 km", "Step 4: Calculate detour", " Detour = 19142.8 - 10372.3 = 8770.6 km", " Detour % = (8770.6 / 10372.3) × 100 = 84.6%", "Step 5: Determine if on route (typically < 10% detour)", " 84.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 49.21392, "lon": -122.93992, "name": "Edmonds" }, "end": { "lat": 6.01203, "lon": -3.19024, "name": "Bianouan" }, "waypoint": { "lat": 10.63333, "lon": -4.76667, "name": "Banfora" }, "question": "Is Banfora approximately on the direct path from Edmonds to Bianouan?", "ground_truth": { "answer": true, "direct_distance_km": 11571.7, "via_waypoint_km": 11595.7, "detour_km": 23.9, "detour_percent": 0.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Edmonds", " End: Bianouan", " Waypoint: Banfora", "Step 2: Calculate direct distance", " Start → End: 11571.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 11595.7 km", "Step 4: Calculate detour", " Detour = 11595.7 - 11571.7 = 23.9 km", " Detour % = (23.9 / 11571.7) × 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": 33.01809, "lon": 36.12828, "name": "Inkhil" }, "end": { "lat": 24.05783, "lon": 89.87696, "name": "Nāgarpur" }, "waypoint": { "lat": -35.13333, "lon": 138.51667, "name": "Morphett Vale" }, "question": "Is Morphett Vale approximately on the direct path from Inkhil to Nāgarpur?", "ground_truth": { "answer": false, "direct_distance_km": 5287.8, "via_waypoint_km": 21397.2, "detour_km": 16109.4, "detour_percent": 304.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Inkhil", " End: Nāgarpur", " Waypoint: Morphett Vale", "Step 2: Calculate direct distance", " Start → End: 5287.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21397.2 km", "Step 4: Calculate detour", " Detour = 21397.2 - 5287.8 = 16109.4 km", " Detour % = (16109.4 / 5287.8) × 100 = 304.7%", "Step 5: Determine if on route (typically < 10% detour)", " 304.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -37.2, "lon": 174.95, "name": "Pukekohe East" }, "end": { "lat": 50.32797, "lon": 7.22277, "name": "Mayen" }, "waypoint": { "lat": 50.34984, "lon": 18.22606, "name": "Kędzierzyn-Koźle" }, "question": "Is Kędzierzyn-Koźle approximately on the direct path from Pukekohe East to Mayen?", "ground_truth": { "answer": true, "direct_distance_km": 18258.8, "via_waypoint_km": 18439.5, "detour_km": 180.7, "detour_percent": 1.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Pukekohe East", " End: Mayen", " Waypoint: Kędzierzyn-Koźle", "Step 2: Calculate direct distance", " Start → End: 18258.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18439.5 km", "Step 4: Calculate detour", " Detour = 18439.5 - 18258.8 = 180.7 km", " Detour % = (180.7 / 18258.8) × 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": 12.70806, "lon": -15.55694, "name": "Sédhiou" }, "end": { "lat": 15.79408, "lon": 104.1451, "name": "Yasothon" }, "waypoint": { "lat": 40.20148, "lon": -77.18887, "name": "Carlisle" }, "question": "Is Carlisle approximately on the direct path from Sédhiou to Yasothon?", "ground_truth": { "answer": false, "direct_distance_km": 12665.7, "via_waypoint_km": 20488.2, "detour_km": 7822.5, "detour_percent": 61.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Sédhiou", " End: Yasothon", " Waypoint: Carlisle", "Step 2: Calculate direct distance", " Start → End: 12665.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20488.2 km", "Step 4: Calculate detour", " Detour = 20488.2 - 12665.7 = 7822.5 km", " Detour % = (7822.5 / 12665.7) × 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": 6.56913, "lon": -8.00253, "name": "Bloléquin" }, "end": { "lat": -23.26667, "lon": 46.08333, "name": "Betroka" }, "waypoint": { "lat": 38.24861, "lon": 22.08194, "name": "Aígio" }, "question": "Is Aígio approximately on the direct path from Bloléquin to Betroka?", "ground_truth": { "answer": false, "direct_distance_km": 6744.0, "via_waypoint_km": 11928.2, "detour_km": 5184.2, "detour_percent": 76.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Bloléquin", " End: Betroka", " Waypoint: Aígio", "Step 2: Calculate direct distance", " Start → End: 6744.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 11928.2 km", "Step 4: Calculate detour", " Detour = 11928.2 - 6744.0 = 5184.2 km", " Detour % = (5184.2 / 6744.0) × 100 = 76.9%", "Step 5: Determine if on route (typically < 10% detour)", " 76.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 32.68333, "lon": 13.18333, "name": "Qaşr Bin Ghashīr" }, "end": { "lat": -19.35278, "lon": -47.29278, "name": "Perdizes" }, "waypoint": { "lat": 29.80601, "lon": 106.64439, "name": "Mu’er" }, "question": "Is Mu’er approximately on the direct path from Qaşr Bin Ghashīr to Perdizes?", "ground_truth": { "answer": false, "direct_distance_km": 8644.1, "via_waypoint_km": 25710.0, "detour_km": 17065.9, "detour_percent": 197.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Qaşr Bin Ghashīr", " End: Perdizes", " Waypoint: Mu’er", "Step 2: Calculate direct distance", " Start → End: 8644.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 25710.0 km", "Step 4: Calculate detour", " Detour = 25710.0 - 8644.1 = 17065.9 km", " Detour % = (17065.9 / 8644.1) × 100 = 197.4%", "Step 5: Determine if on route (typically < 10% detour)", " 197.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 33.6835, "lon": -78.99837, "name": "Socastee" }, "end": { "lat": 52.505, "lon": 4.95972, "name": "Purmerend" }, "waypoint": { "lat": 31.93058, "lon": 70.45959, "name": "Kulachi" }, "question": "Is Kulachi approximately on the direct path from Socastee to Purmerend?", "ground_truth": { "answer": false, "direct_distance_km": 6720.6, "via_waypoint_km": 17682.2, "detour_km": 10961.6, "detour_percent": 163.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Socastee", " End: Purmerend", " Waypoint: Kulachi", "Step 2: Calculate direct distance", " Start → End: 6720.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17682.2 km", "Step 4: Calculate detour", " Detour = 17682.2 - 6720.6 = 10961.6 km", " Detour % = (10961.6 / 6720.6) × 100 = 163.1%", "Step 5: Determine if on route (typically < 10% detour)", " 163.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -4.57444, "lon": -55.94361, "name": "Trairão" }, "end": { "lat": 8.09419, "lon": -74.77573, "name": "Nechí" }, "waypoint": { "lat": 31.06251, "lon": 113.76545, "name": "Yunmeng Chengguanzhen" }, "question": "Is Yunmeng Chengguanzhen approximately on the direct path from Trairão to Nechí?", "ground_truth": { "answer": false, "direct_distance_km": 2519.4, "via_waypoint_km": 32446.2, "detour_km": 29926.9, "detour_percent": 1187.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Trairão", " End: Nechí", " Waypoint: Yunmeng Chengguanzhen", "Step 2: Calculate direct distance", " Start → End: 2519.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 32446.2 km", "Step 4: Calculate detour", " Detour = 32446.2 - 2519.4 = 29926.9 km", " Detour % = (29926.9 / 2519.4) × 100 = 1187.9%", "Step 5: Determine if on route (typically < 10% detour)", " 1187.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 34.57373, "lon": -5.95585, "name": "Mechraa Bel Ksiri" }, "end": { "lat": -34.86819, "lon": -61.52929, "name": "Lincoln" }, "waypoint": { "lat": 52.7593, "lon": -1.93694, "name": "Rugeley" }, "question": "Is Rugeley approximately on the direct path from Mechraa Bel Ksiri to Lincoln?", "ground_truth": { "answer": false, "direct_distance_km": 9640.9, "via_waypoint_km": 13362.2, "detour_km": 3721.3, "detour_percent": 38.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Mechraa Bel Ksiri", " End: Lincoln", " Waypoint: Rugeley", "Step 2: Calculate direct distance", " Start → End: 9640.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13362.2 km", "Step 4: Calculate detour", " Detour = 13362.2 - 9640.9 = 3721.3 km", " Detour % = (3721.3 / 9640.9) × 100 = 38.6%", "Step 5: Determine if on route (typically < 10% detour)", " 38.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 6.08333, "lon": 38.03333, "name": "Kele" }, "end": { "lat": -15.65972, "lon": -40.06556, "name": "Itarantim" }, "waypoint": { "lat": 3.879, "lon": 98.633, "name": "Labuhan Deli" }, "question": "Is Labuhan Deli approximately on the direct path from Kele to Itarantim?", "ground_truth": { "answer": false, "direct_distance_km": 8926.7, "via_waypoint_km": 22029.0, "detour_km": 13102.4, "detour_percent": 146.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kele", " End: Itarantim", " Waypoint: Labuhan Deli", "Step 2: Calculate direct distance", " Start → End: 8926.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22029.0 km", "Step 4: Calculate detour", " Detour = 22029.0 - 8926.7 = 13102.4 km", " Detour % = (13102.4 / 8926.7) × 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": 51.56844, "lon": 0.45782, "name": "Basildon" }, "end": { "lat": 44.05011, "lon": -79.46631, "name": "Newmarket" }, "waypoint": { "lat": 42.54648, "lon": -71.17367, "name": "Wilmington" }, "question": "Is Wilmington approximately on the direct path from Basildon to Newmarket?", "ground_truth": { "answer": true, "direct_distance_km": 5724.1, "via_waypoint_km": 5986.8, "detour_km": 262.7, "detour_percent": 4.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Basildon", " End: Newmarket", " Waypoint: Wilmington", "Step 2: Calculate direct distance", " Start → End: 5724.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 5986.8 km", "Step 4: Calculate detour", " Detour = 5986.8 - 5724.1 = 262.7 km", " Detour % = (262.7 / 5724.1) × 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": -25.09598, "lon": 30.44393, "name": "Lydenburg" }, "end": { "lat": 11.86064, "lon": 9.0027, "name": "Gaya" }, "waypoint": { "lat": -9.34917, "lon": 34.77167, "name": "Njombe" }, "question": "Is Njombe approximately on the direct path from Lydenburg to Gaya?", "ground_truth": { "answer": false, "direct_distance_km": 4721.3, "via_waypoint_km": 5507.7, "detour_km": 786.4, "detour_percent": 16.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Lydenburg", " End: Gaya", " Waypoint: Njombe", "Step 2: Calculate direct distance", " Start → End: 4721.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 5507.7 km", "Step 4: Calculate detour", " Detour = 5507.7 - 4721.3 = 786.4 km", " Detour % = (786.4 / 4721.3) × 100 = 16.7%", "Step 5: Determine if on route (typically < 10% detour)", " 16.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -37.88264, "lon": 144.7003, "name": "Hoppers Crossing" }, "end": { "lat": 39.47581, "lon": -8.54348, "name": "Torres Novas" }, "waypoint": { "lat": -22.41972, "lon": -44.29028, "name": "Porto Real" }, "question": "Is Porto Real approximately on the direct path from Hoppers Crossing to Torres Novas?", "ground_truth": { "answer": false, "direct_distance_km": 17694.3, "via_waypoint_km": 21064.2, "detour_km": 3369.9, "detour_percent": 19.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Hoppers Crossing", " End: Torres Novas", " Waypoint: Porto Real", "Step 2: Calculate direct distance", " Start → End: 17694.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21064.2 km", "Step 4: Calculate detour", " Detour = 21064.2 - 17694.3 = 3369.9 km", " Detour % = (3369.9 / 17694.3) × 100 = 19.0%", "Step 5: Determine if on route (typically < 10% detour)", " 19.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 16.0111, "lon": 120.36, "name": "Calasiao" }, "end": { "lat": 25.42534, "lon": 86.02083, "name": "Bihāt" }, "waypoint": { "lat": -18.08639, "lon": -39.55083, "name": "Mucuri" }, "question": "Is Mucuri approximately on the direct path from Calasiao to Bihāt?", "ground_truth": { "answer": false, "direct_distance_km": 3709.5, "via_waypoint_km": 32240.1, "detour_km": 28530.6, "detour_percent": 769.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Calasiao", " End: Bihāt", " Waypoint: Mucuri", "Step 2: Calculate direct distance", " Start → End: 3709.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 32240.1 km", "Step 4: Calculate detour", " Detour = 32240.1 - 3709.5 = 28530.6 km", " Detour % = (28530.6 / 3709.5) × 100 = 769.1%", "Step 5: Determine if on route (typically < 10% detour)", " 769.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 25.31642, "lon": 85.28234, "name": "Hilsa" }, "end": { "lat": 23.66278, "lon": 87.69695, "name": "Bolpur" }, "waypoint": { "lat": 36.33023, "lon": -119.29206, "name": "Visalia" }, "question": "Is Visalia approximately on the direct path from Hilsa to Bolpur?", "ground_truth": { "answer": false, "direct_distance_km": 305.8, "via_waypoint_km": 25458.9, "detour_km": 25153.1, "detour_percent": 8225.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Hilsa", " End: Bolpur", " Waypoint: Visalia", "Step 2: Calculate direct distance", " Start → End: 305.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 25458.9 km", "Step 4: Calculate detour", " Detour = 25458.9 - 305.8 = 25153.1 km", " Detour % = (25153.1 / 305.8) × 100 = 8225.8%", "Step 5: Determine if on route (typically < 10% detour)", " 8225.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 22.37738, "lon": 73.00072, "name": "Anklav" }, "end": { "lat": 24.34478, "lon": 124.15717, "name": "Ishigaki" }, "waypoint": { "lat": 23.08105, "lon": -82.35448, "name": "Víbora Park" }, "question": "Is Víbora Park approximately on the direct path from Anklav to Ishigaki?", "ground_truth": { "answer": false, "direct_distance_km": 5197.1, "via_waypoint_km": 28315.6, "detour_km": 23118.6, "detour_percent": 444.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Anklav", " End: Ishigaki", " Waypoint: Víbora Park", "Step 2: Calculate direct distance", " Start → End: 5197.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 28315.6 km", "Step 4: Calculate detour", " Detour = 28315.6 - 5197.1 = 23118.6 km", " Detour % = (23118.6 / 5197.1) × 100 = 444.8%", "Step 5: Determine if on route (typically < 10% detour)", " 444.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -21.78778, "lon": -46.56139, "name": "Poços de Caldas" }, "end": { "lat": 41.77503, "lon": -87.69644, "name": "Chicago Lawn" }, "waypoint": { "lat": 48.74953, "lon": 8.87176, "name": "Weil der Stadt" }, "question": "Is Weil der Stadt approximately on the direct path from Poços de Caldas to Chicago Lawn?", "ground_truth": { "answer": false, "direct_distance_km": 8237.4, "via_waypoint_km": 16644.0, "detour_km": 8406.6, "detour_percent": 102.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Poços de Caldas", " End: Chicago Lawn", " Waypoint: Weil der Stadt", "Step 2: Calculate direct distance", " Start → End: 8237.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16644.0 km", "Step 4: Calculate detour", " Detour = 16644.0 - 8237.4 = 8406.6 km", " Detour % = (8406.6 / 8237.4) × 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": 3.6253, "lon": 98.864, "name": "Percut" }, "end": { "lat": 32.62217, "lon": 130.66177, "name": "Uki" }, "waypoint": { "lat": 52.4075, "lon": 6.78472, "name": "Tubbergen" }, "question": "Is Tubbergen approximately on the direct path from Percut to Uki?", "ground_truth": { "answer": false, "direct_distance_km": 4619.1, "via_waypoint_km": 18936.8, "detour_km": 14317.7, "detour_percent": 310.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Percut", " End: Uki", " Waypoint: Tubbergen", "Step 2: Calculate direct distance", " Start → End: 4619.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18936.8 km", "Step 4: Calculate detour", " Detour = 18936.8 - 4619.1 = 14317.7 km", " Detour % = (14317.7 / 4619.1) × 100 = 310.0%", "Step 5: Determine if on route (typically < 10% detour)", " 310.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -23.59556, "lon": -46.52472, "name": "Sapopemba" }, "end": { "lat": -25.77889, "lon": -49.32611, "name": "Mandirituba" }, "waypoint": { "lat": 32.22174, "lon": -110.92648, "name": "Tucson" }, "question": "Is Tucson approximately on the direct path from Sapopemba to Mandirituba?", "ground_truth": { "answer": false, "direct_distance_km": 372.9, "via_waypoint_km": 18405.5, "detour_km": 18032.6, "detour_percent": 4836.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Sapopemba", " End: Mandirituba", " Waypoint: Tucson", "Step 2: Calculate direct distance", " Start → End: 372.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18405.5 km", "Step 4: Calculate detour", " Detour = 18405.5 - 372.9 = 18032.6 km", " Detour % = (18032.6 / 372.9) × 100 = 4836.3%", "Step 5: Determine if on route (typically < 10% detour)", " 4836.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 9.04439, "lon": 6.57089, "name": "Lapai" }, "end": { "lat": -37.68611, "lon": 176.16667, "name": "Tauranga" }, "waypoint": { "lat": 41.28899, "lon": -72.68176, "name": "Guilford" }, "question": "Is Guilford approximately on the direct path from Lapai to Tauranga?", "ground_truth": { "answer": false, "direct_distance_km": 16663.5, "via_waypoint_km": 22701.1, "detour_km": 6037.7, "detour_percent": 36.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Lapai", " End: Tauranga", " Waypoint: Guilford", "Step 2: Calculate direct distance", " Start → End: 16663.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22701.1 km", "Step 4: Calculate detour", " Detour = 22701.1 - 16663.5 = 6037.7 km", " Detour % = (6037.7 / 16663.5) × 100 = 36.2%", "Step 5: Determine if on route (typically < 10% detour)", " 36.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 29.94494, "lon": 106.35025, "name": "Yanjing" }, "end": { "lat": 33.22917, "lon": 119.30917, "name": "Baoying" }, "waypoint": { "lat": -0.35817, "lon": 42.54536, "name": "Kismayo" }, "question": "Is Kismayo approximately on the direct path from Yanjing to Baoying?", "ground_truth": { "answer": false, "direct_distance_km": 1279.6, "via_waypoint_km": 16330.5, "detour_km": 15050.8, "detour_percent": 1176.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Yanjing", " End: Baoying", " Waypoint: Kismayo", "Step 2: Calculate direct distance", " Start → End: 1279.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16330.5 km", "Step 4: Calculate detour", " Detour = 16330.5 - 1279.6 = 15050.8 km", " Detour % = (15050.8 / 1279.6) × 100 = 1176.2%", "Step 5: Determine if on route (typically < 10% detour)", " 1176.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 53.08371, "lon": 18.22572, "name": "Solec Kujawski" }, "end": { "lat": 0.952, "lon": 34.27, "name": "Manafwa" }, "waypoint": { "lat": -4.8, "lon": 38.21667, "name": "Mazinde" }, "question": "Is Mazinde approximately on the direct path from Solec Kujawski to Manafwa?", "ground_truth": { "answer": false, "direct_distance_km": 5983.5, "via_waypoint_km": 7479.6, "detour_km": 1496.2, "detour_percent": 25.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Solec Kujawski", " End: Manafwa", " Waypoint: Mazinde", "Step 2: Calculate direct distance", " Start → End: 5983.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 7479.6 km", "Step 4: Calculate detour", " Detour = 7479.6 - 5983.5 = 1496.2 km", " Detour % = (1496.2 / 5983.5) × 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": -1.66506, "lon": -78.65887, "name": "Riobamba" }, "end": { "lat": -0.55085, "lon": 166.9252, "name": "Yaren" }, "waypoint": { "lat": 9.52213, "lon": 45.53363, "name": "Burao" }, "question": "Is Burao approximately on the direct path from Riobamba to Yaren?", "ground_truth": { "answer": false, "direct_distance_km": 12719.2, "via_waypoint_km": 27241.5, "detour_km": 14522.4, "detour_percent": 114.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Riobamba", " End: Yaren", " Waypoint: Burao", "Step 2: Calculate direct distance", " Start → End: 12719.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 27241.5 km", "Step 4: Calculate detour", " Detour = 27241.5 - 12719.2 = 14522.4 km", " Detour % = (14522.4 / 12719.2) × 100 = 114.2%", "Step 5: Determine if on route (typically < 10% detour)", " 114.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -34.92866, "lon": 138.59863, "name": "Adelaide" }, "end": { "lat": 37.02014, "lon": 120.33731, "name": "Nanshu" }, "waypoint": { "lat": -12.05048, "lon": -76.97335, "name": "Santa Anita - Los Ficus" }, "question": "Is Santa Anita - Los Ficus approximately on the direct path from Adelaide to Nanshu?", "ground_truth": { "answer": false, "direct_distance_km": 8220.1, "via_waypoint_km": 30331.5, "detour_km": 22111.5, "detour_percent": 269.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Adelaide", " End: Nanshu", " Waypoint: Santa Anita - Los Ficus", "Step 2: Calculate direct distance", " Start → End: 8220.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 30331.5 km", "Step 4: Calculate detour", " Detour = 30331.5 - 8220.1 = 22111.5 km", " Detour % = (22111.5 / 8220.1) × 100 = 269.0%", "Step 5: Determine if on route (typically < 10% detour)", " 269.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -14.3125, "lon": -39.32333, "name": "Ubaitaba" }, "end": { "lat": 14.90482, "lon": -91.48307, "name": "San Andrés Xecul" }, "waypoint": { "lat": -31.76737, "lon": 115.96936, "name": "Ellenbrook" }, "question": "Is Ellenbrook approximately on the direct path from Ubaitaba to San Andrés Xecul?", "ground_truth": { "answer": false, "direct_distance_km": 6591.7, "via_waypoint_km": 30913.5, "detour_km": 24321.8, "detour_percent": 369.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ubaitaba", " End: San Andrés Xecul", " Waypoint: Ellenbrook", "Step 2: Calculate direct distance", " Start → End: 6591.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 30913.5 km", "Step 4: Calculate detour", " Detour = 30913.5 - 6591.7 = 24321.8 km", " Detour % = (24321.8 / 6591.7) × 100 = 369.0%", "Step 5: Determine if on route (typically < 10% detour)", " 369.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 2.46335, "lon": 31.49832, "name": "Pakwach" }, "end": { "lat": -37.2463, "lon": -73.31752, "name": "Arauco" }, "waypoint": { "lat": 32.18966, "lon": 34.97063, "name": "Qalqīlyah" }, "question": "Is Qalqīlyah approximately on the direct path from Pakwach to Arauco?", "ground_truth": { "answer": false, "direct_distance_km": 11482.1, "via_waypoint_km": 16920.5, "detour_km": 5438.4, "detour_percent": 47.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Pakwach", " End: Arauco", " Waypoint: Qalqīlyah", "Step 2: Calculate direct distance", " Start → End: 11482.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16920.5 km", "Step 4: Calculate detour", " Detour = 16920.5 - 11482.1 = 5438.4 km", " Detour % = (5438.4 / 11482.1) × 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": 49.32083, "lon": 8.43111, "name": "Speyer" }, "end": { "lat": 50.32717, "lon": 13.54577, "name": "Žatec" }, "waypoint": { "lat": 32.83116, "lon": -116.93336, "name": "Winter Gardens" }, "question": "Is Winter Gardens approximately on the direct path from Speyer to Žatec?", "ground_truth": { "answer": false, "direct_distance_km": 383.5, "via_waypoint_km": 18973.9, "detour_km": 18590.4, "detour_percent": 4847.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Speyer", " End: Žatec", " Waypoint: Winter Gardens", "Step 2: Calculate direct distance", " Start → End: 383.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18973.9 km", "Step 4: Calculate detour", " Detour = 18973.9 - 383.5 = 18590.4 km", " Detour % = (18590.4 / 383.5) × 100 = 4847.6%", "Step 5: Determine if on route (typically < 10% detour)", " 4847.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 32.08963, "lon": 23.95385, "name": "Tobruk" }, "end": { "lat": 24.75187, "lon": 46.53874, "name": "Ad Dir‘īyah" }, "waypoint": { "lat": 25.03763, "lon": 55.59135, "name": "Lahbab" }, "question": "Is Lahbab approximately on the direct path from Tobruk to Ad Dir‘īyah?", "ground_truth": { "answer": false, "direct_distance_km": 2348.8, "via_waypoint_km": 4088.7, "detour_km": 1739.9, "detour_percent": 74.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Tobruk", " End: Ad Dir‘īyah", " Waypoint: Lahbab", "Step 2: Calculate direct distance", " Start → End: 2348.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 4088.7 km", "Step 4: Calculate detour", " Detour = 4088.7 - 2348.8 = 1739.9 km", " Detour % = (1739.9 / 2348.8) × 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": 9.83847, "lon": -83.86655, "name": "Paraíso" }, "end": { "lat": 27.29191, "lon": 81.11775, "name": "Mahmudābād" }, "waypoint": { "lat": -38.11342, "lon": 145.28326, "name": "Cranbourne" }, "question": "Is Cranbourne approximately on the direct path from Paraíso to Mahmudābād?", "ground_truth": { "answer": false, "direct_distance_km": 15580.4, "via_waypoint_km": 24077.0, "detour_km": 8496.6, "detour_percent": 54.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Paraíso", " End: Mahmudābād", " Waypoint: Cranbourne", "Step 2: Calculate direct distance", " Start → End: 15580.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24077.0 km", "Step 4: Calculate detour", " Detour = 24077.0 - 15580.4 = 8496.6 km", " Detour % = (8496.6 / 15580.4) × 100 = 54.5%", "Step 5: Determine if on route (typically < 10% detour)", " 54.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -12.86667, "lon": -72.71667, "name": "Santa Ana" }, "end": { "lat": 6.04639, "lon": -75.90705, "name": "Concordia" }, "waypoint": { "lat": 8.4855, "lon": 76.94924, "name": "Thiruvananthapuram" }, "question": "Is Thiruvananthapuram approximately on the direct path from Santa Ana to Concordia?", "ground_truth": { "answer": false, "direct_distance_km": 2132.4, "via_waypoint_km": 33266.4, "detour_km": 31134.0, "detour_percent": 1460.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Santa Ana", " End: Concordia", " Waypoint: Thiruvananthapuram", "Step 2: Calculate direct distance", " Start → End: 2132.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 33266.4 km", "Step 4: Calculate detour", " Detour = 33266.4 - 2132.4 = 31134.0 km", " Detour % = (31134.0 / 2132.4) × 100 = 1460.1%", "Step 5: Determine if on route (typically < 10% detour)", " 1460.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 41.34558, "lon": 21.5537, "name": "Prilep" }, "end": { "lat": -37.65, "lon": 145.1, "name": "South Morang" }, "waypoint": { "lat": -1.04491, "lon": -79.6384, "name": "El Empalme" }, "question": "Is El Empalme approximately on the direct path from Prilep to South Morang?", "ground_truth": { "answer": false, "direct_distance_km": 15239.7, "via_waypoint_km": 24743.5, "detour_km": 9503.8, "detour_percent": 62.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Prilep", " End: South Morang", " Waypoint: El Empalme", "Step 2: Calculate direct distance", " Start → End: 15239.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24743.5 km", "Step 4: Calculate detour", " Detour = 24743.5 - 15239.7 = 9503.8 km", " Detour % = (9503.8 / 15239.7) × 100 = 62.4%", "Step 5: Determine if on route (typically < 10% detour)", " 62.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 48.40821, "lon": 33.70919, "name": "Pyatykhatky" }, "end": { "lat": 44.95905, "lon": 24.94198, "name": "Mioveni" }, "waypoint": { "lat": 46.34968, "lon": 48.04076, "name": "Astrakhan" }, "question": "Is Astrakhan approximately on the direct path from Pyatykhatky to Mioveni?", "ground_truth": { "answer": false, "direct_distance_km": 770.3, "via_waypoint_km": 2896.9, "detour_km": 2126.6, "detour_percent": 276.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Pyatykhatky", " End: Mioveni", " Waypoint: Astrakhan", "Step 2: Calculate direct distance", " Start → End: 770.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 2896.9 km", "Step 4: Calculate detour", " Detour = 2896.9 - 770.3 = 2126.6 km", " Detour % = (2126.6 / 770.3) × 100 = 276.1%", "Step 5: Determine if on route (typically < 10% detour)", " 276.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -37.26394, "lon": -56.97304, "name": "Villa Gesell" }, "end": { "lat": -23.17944, "lon": -45.88694, "name": "São José dos Campos" }, "waypoint": { "lat": 32.64101, "lon": 73.72039, "name": "Dinga" }, "question": "Is Dinga approximately on the direct path from Villa Gesell to São José dos Campos?", "ground_truth": { "answer": false, "direct_distance_km": 1890.7, "via_waypoint_km": 29608.1, "detour_km": 27717.3, "detour_percent": 1466.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Villa Gesell", " End: São José dos Campos", " Waypoint: Dinga", "Step 2: Calculate direct distance", " Start → End: 1890.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 29608.1 km", "Step 4: Calculate detour", " Detour = 29608.1 - 1890.7 = 27717.3 km", " Detour % = (27717.3 / 1890.7) × 100 = 1466.0%", "Step 5: Determine if on route (typically < 10% detour)", " 1466.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 21.07351, "lon": 84.34095, "name": "Rāmpur" }, "end": { "lat": 33.2641, "lon": 73.7853, "name": "Chaksawari" }, "waypoint": { "lat": 2.2499, "lon": 32.89985, "name": "Lira" }, "question": "Is Lira approximately on the direct path from Rāmpur to Chaksawari?", "ground_truth": { "answer": false, "direct_distance_km": 1708.8, "via_waypoint_km": 11417.9, "detour_km": 9709.1, "detour_percent": 568.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Rāmpur", " End: Chaksawari", " Waypoint: Lira", "Step 2: Calculate direct distance", " Start → End: 1708.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 11417.9 km", "Step 4: Calculate detour", " Detour = 11417.9 - 1708.8 = 9709.1 km", " Detour % = (9709.1 / 1708.8) × 100 = 568.2%", "Step 5: Determine if on route (typically < 10% detour)", " 568.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 54.97422, "lon": 48.29088, "name": "Buinsk" }, "end": { "lat": 36.13516, "lon": 2.91085, "name": "Berrouaghia" }, "waypoint": { "lat": -5.06893, "lon": 39.09875, "name": "Tanga" }, "question": "Is Tanga approximately on the direct path from Buinsk to Berrouaghia?", "ground_truth": { "answer": false, "direct_distance_km": 4008.8, "via_waypoint_km": 12660.6, "detour_km": 8651.8, "detour_percent": 215.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Buinsk", " End: Berrouaghia", " Waypoint: Tanga", "Step 2: Calculate direct distance", " Start → End: 4008.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12660.6 km", "Step 4: Calculate detour", " Detour = 12660.6 - 4008.8 = 8651.8 km", " Detour % = (8651.8 / 4008.8) × 100 = 215.8%", "Step 5: Determine if on route (typically < 10% detour)", " 215.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -24.71361, "lon": -53.74306, "name": "Toledo" }, "end": { "lat": -14.88111, "lon": -40.57944, "name": "Barra do Choça" }, "waypoint": { "lat": -11.19976, "lon": 28.89431, "name": "Mansa" }, "question": "Is Mansa approximately on the direct path from Toledo to Barra do Choça?", "ground_truth": { "answer": false, "direct_distance_km": 1756.3, "via_waypoint_km": 16262.9, "detour_km": 14506.6, "detour_percent": 826.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Toledo", " End: Barra do Choça", " Waypoint: Mansa", "Step 2: Calculate direct distance", " Start → End: 1756.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16262.9 km", "Step 4: Calculate detour", " Detour = 16262.9 - 1756.3 = 14506.6 km", " Detour % = (14506.6 / 1756.3) × 100 = 826.0%", "Step 5: Determine if on route (typically < 10% detour)", " 826.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 9.24202, "lon": -74.75467, "name": "Magangué" }, "end": { "lat": -25.42778, "lon": -49.27306, "name": "Curitiba" }, "waypoint": { "lat": 61.48072, "lon": 21.78518, "name": "Pori" }, "question": "Is Pori approximately on the direct path from Magangué to Curitiba?", "ground_truth": { "answer": false, "direct_distance_km": 4740.3, "via_waypoint_km": 20983.7, "detour_km": 16243.3, "detour_percent": 342.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Magangué", " End: Curitiba", " Waypoint: Pori", "Step 2: Calculate direct distance", " Start → End: 4740.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20983.7 km", "Step 4: Calculate detour", " Detour = 20983.7 - 4740.3 = 16243.3 km", " Detour % = (16243.3 / 4740.3) × 100 = 342.7%", "Step 5: Determine if on route (typically < 10% detour)", " 342.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 24.22388, "lon": 92.67869, "name": "Kolasib" }, "end": { "lat": 12.14579, "lon": 75.17475, "name": "Trikarpūr North" }, "waypoint": { "lat": -32.23013, "lon": 115.78128, "name": "Kwinana" }, "question": "Is Kwinana approximately on the direct path from Kolasib to Trikarpūr North?", "ground_truth": { "answer": false, "direct_distance_km": 2281.1, "via_waypoint_km": 13295.7, "detour_km": 11014.6, "detour_percent": 482.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kolasib", " End: Trikarpūr North", " Waypoint: Kwinana", "Step 2: Calculate direct distance", " Start → End: 2281.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13295.7 km", "Step 4: Calculate detour", " Detour = 13295.7 - 2281.1 = 11014.6 km", " Detour % = (11014.6 / 2281.1) × 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": 33.44873, "lon": -84.45493, "name": "Fayetteville" }, "end": { "lat": 39.76861, "lon": -94.84663, "name": "Saint Joseph" }, "waypoint": { "lat": 36.16286, "lon": 6.16651, "name": "Chelghoum el Aïd" }, "question": "Is Chelghoum el Aïd approximately on the direct path from Fayetteville to Saint Joseph?", "ground_truth": { "answer": false, "direct_distance_km": 1162.3, "via_waypoint_km": 16285.1, "detour_km": 15122.8, "detour_percent": 1301.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Fayetteville", " End: Saint Joseph", " Waypoint: Chelghoum el Aïd", "Step 2: Calculate direct distance", " Start → End: 1162.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16285.1 km", "Step 4: Calculate detour", " Detour = 16285.1 - 1162.3 = 15122.8 km", " Detour % = (15122.8 / 1162.3) × 100 = 1301.1%", "Step 5: Determine if on route (typically < 10% detour)", " 1301.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 20.53917, "lon": 85.91512, "name": "Choudwar" }, "end": { "lat": 38.64631, "lon": 35.44937, "name": "Hacılar" }, "waypoint": { "lat": 28.61031, "lon": 79.16997, "name": "Milak" }, "question": "Is Milak approximately on the direct path from Choudwar to Hacılar?", "ground_truth": { "answer": true, "direct_distance_km": 5203.0, "via_waypoint_km": 5283.6, "detour_km": 80.6, "detour_percent": 1.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Choudwar", " End: Hacılar", " Waypoint: Milak", "Step 2: Calculate direct distance", " Start → End: 5203.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 5283.6 km", "Step 4: Calculate detour", " Detour = 5283.6 - 5203.0 = 80.6 km", " Detour % = (80.6 / 5203.0) × 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": 48.13954, "lon": 38.93715, "name": "Khrustalnyi" }, "end": { "lat": 49.15964, "lon": 5.3829, "name": "Verdun" }, "waypoint": { "lat": 39.4015, "lon": -76.60191, "name": "Towson" }, "question": "Is Towson approximately on the direct path from Khrustalnyi to Verdun?", "ground_truth": { "answer": false, "direct_distance_km": 2447.3, "via_waypoint_km": 14687.0, "detour_km": 12239.7, "detour_percent": 500.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Khrustalnyi", " End: Verdun", " Waypoint: Towson", "Step 2: Calculate direct distance", " Start → End: 2447.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14687.0 km", "Step 4: Calculate detour", " Detour = 14687.0 - 2447.3 = 12239.7 km", " Detour % = (12239.7 / 2447.3) × 100 = 500.1%", "Step 5: Determine if on route (typically < 10% detour)", " 500.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 55.1611, "lon": 61.42877, "name": "Chelyabinsk" }, "end": { "lat": -33.76667, "lon": 150.91667, "name": "Blacktown" }, "waypoint": { "lat": 22.02463, "lon": 82.42641, "name": "Akaltara" }, "question": "Is Akaltara approximately on the direct path from Chelyabinsk to Blacktown?", "ground_truth": { "answer": true, "direct_distance_km": 12995.2, "via_waypoint_km": 13611.1, "detour_km": 615.9, "detour_percent": 4.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Chelyabinsk", " End: Blacktown", " Waypoint: Akaltara", "Step 2: Calculate direct distance", " Start → End: 12995.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13611.1 km", "Step 4: Calculate detour", " Detour = 13611.1 - 12995.2 = 615.9 km", " Detour % = (615.9 / 12995.2) × 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": 29.02663, "lon": 66.59361, "name": "Kalat" }, "end": { "lat": 50.81809, "lon": 6.1347, "name": "Würselen" }, "waypoint": { "lat": 16.09007, "lon": -93.7546, "name": "Tonalá" }, "question": "Is Tonalá approximately on the direct path from Kalat to Würselen?", "ground_truth": { "answer": false, "direct_distance_km": 5512.2, "via_waypoint_km": 23873.8, "detour_km": 18361.6, "detour_percent": 333.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kalat", " End: Würselen", " Waypoint: Tonalá", "Step 2: Calculate direct distance", " Start → End: 5512.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23873.8 km", "Step 4: Calculate detour", " Detour = 23873.8 - 5512.2 = 18361.6 km", " Detour % = (18361.6 / 5512.2) × 100 = 333.1%", "Step 5: Determine if on route (typically < 10% detour)", " 333.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 5.28515, "lon": -2.76658, "name": "Elubo" }, "end": { "lat": 30.88525, "lon": 29.57721, "name": "Burj al ‘Arab al Jadīdah" }, "waypoint": { "lat": 13.16417, "lon": -0.8225, "name": "Pissila" }, "question": "Is Pissila approximately on the direct path from Elubo to Burj al ‘Arab al Jadīdah?", "ground_truth": { "answer": true, "direct_distance_km": 4415.9, "via_waypoint_km": 4582.9, "detour_km": 167.0, "detour_percent": 3.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Elubo", " End: Burj al ‘Arab al Jadīdah", " Waypoint: Pissila", "Step 2: Calculate direct distance", " Start → End: 4415.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 4582.9 km", "Step 4: Calculate detour", " Detour = 4582.9 - 4415.9 = 167.0 km", " Detour % = (167.0 / 4415.9) × 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": 38.73174, "lon": -82.99767, "name": "Portsmouth" }, "end": { "lat": 25.6105, "lon": -80.42971, "name": "Richmond West" }, "waypoint": { "lat": 43.25249, "lon": 76.9115, "name": "Almaty" }, "question": "Is Almaty approximately on the direct path from Portsmouth to Richmond West?", "ground_truth": { "answer": false, "direct_distance_km": 1478.7, "via_waypoint_km": 22691.9, "detour_km": 21213.2, "detour_percent": 1434.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Portsmouth", " End: Richmond West", " Waypoint: Almaty", "Step 2: Calculate direct distance", " Start → End: 1478.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22691.9 km", "Step 4: Calculate detour", " Detour = 22691.9 - 1478.7 = 21213.2 km", " Detour % = (21213.2 / 1478.7) × 100 = 1434.6%", "Step 5: Determine if on route (typically < 10% detour)", " 1434.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 9.37158, "lon": 78.83077, "name": "Ramanathapuram" }, "end": { "lat": -27.91828, "lon": 153.33275, "name": "Helensvale" }, "waypoint": { "lat": -13.48694, "lon": -39.04389, "name": "Cairu" }, "question": "Is Cairu approximately on the direct path from Ramanathapuram to Helensvale?", "ground_truth": { "answer": false, "direct_distance_km": 9005.0, "via_waypoint_km": 28466.7, "detour_km": 19461.8, "detour_percent": 216.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ramanathapuram", " End: Helensvale", " Waypoint: Cairu", "Step 2: Calculate direct distance", " Start → End: 9005.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 28466.7 km", "Step 4: Calculate detour", " Detour = 28466.7 - 9005.0 = 19461.8 km", " Detour % = (19461.8 / 9005.0) × 100 = 216.1%", "Step 5: Determine if on route (typically < 10% detour)", " 216.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 35.67452, "lon": 139.48216, "name": "Fuchū" }, "end": { "lat": -7.8, "lon": -78.06667, "name": "Huamachuco" }, "waypoint": { "lat": 14.51255, "lon": -17.00447, "name": "Nguékhokh" }, "question": "Is Nguékhokh approximately on the direct path from Fuchū to Huamachuco?", "ground_truth": { "answer": false, "direct_distance_km": 15103.3, "via_waypoint_km": 21085.4, "detour_km": 5982.2, "detour_percent": 39.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Fuchū", " End: Huamachuco", " Waypoint: Nguékhokh", "Step 2: Calculate direct distance", " Start → End: 15103.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21085.4 km", "Step 4: Calculate detour", " Detour = 21085.4 - 15103.3 = 5982.2 km", " Detour % = (5982.2 / 15103.3) × 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": -17.93285, "lon": 25.83066, "name": "Victoria Falls" }, "end": { "lat": 43.49258, "lon": -70.45338, "name": "Biddeford" }, "waypoint": { "lat": -2.63199, "lon": -80.38808, "name": "Playas" }, "question": "Is Playas approximately on the direct path from Victoria Falls to Biddeford?", "ground_truth": { "answer": false, "direct_distance_km": 11865.2, "via_waypoint_km": 16850.2, "detour_km": 4985.0, "detour_percent": 42.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Victoria Falls", " End: Biddeford", " Waypoint: Playas", "Step 2: Calculate direct distance", " Start → End: 11865.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16850.2 km", "Step 4: Calculate detour", " Detour = 16850.2 - 11865.2 = 4985.0 km", " Detour % = (4985.0 / 11865.2) × 100 = 42.0%", "Step 5: Determine if on route (typically < 10% detour)", " 42.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -10.6, "lon": -38.21667, "name": "Fátima" }, "end": { "lat": 36.74871, "lon": 3.19249, "name": "Bordj el Kiffan" }, "waypoint": { "lat": 6.01161, "lon": -4.82133, "name": "Nzianouan" }, "question": "Is Nzianouan approximately on the direct path from Fátima to Bordj el Kiffan?", "ground_truth": { "answer": false, "direct_distance_km": 6813.2, "via_waypoint_km": 7646.5, "detour_km": 833.3, "detour_percent": 12.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Fátima", " End: Bordj el Kiffan", " Waypoint: Nzianouan", "Step 2: Calculate direct distance", " Start → End: 6813.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 7646.5 km", "Step 4: Calculate detour", " Detour = 7646.5 - 6813.2 = 833.3 km", " Detour % = (833.3 / 6813.2) × 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": 45.55789, "lon": -122.8676, "name": "Bethany" }, "end": { "lat": 43.88342, "lon": -78.93287, "name": "Whitby" }, "waypoint": { "lat": -17.19747, "lon": -70.93587, "name": "Moquegua" }, "question": "Is Moquegua approximately on the direct path from Bethany to Whitby?", "ground_truth": { "answer": false, "direct_distance_km": 3432.6, "via_waypoint_km": 15556.5, "detour_km": 12123.9, "detour_percent": 353.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Bethany", " End: Whitby", " Waypoint: Moquegua", "Step 2: Calculate direct distance", " Start → End: 3432.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15556.5 km", "Step 4: Calculate detour", " Detour = 15556.5 - 3432.6 = 12123.9 km", " Detour % = (12123.9 / 3432.6) × 100 = 353.2%", "Step 5: Determine if on route (typically < 10% detour)", " 353.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 12.51115, "lon": 78.55524, "name": "Pāchchal" }, "end": { "lat": 27.46609, "lon": 89.64191, "name": "Thimphu" }, "waypoint": { "lat": 50.70146, "lon": -1.29124, "name": "Newport" }, "question": "Is Newport approximately on the direct path from Pāchchal to Thimphu?", "ground_truth": { "answer": false, "direct_distance_km": 2023.9, "via_waypoint_km": 15966.4, "detour_km": 13942.5, "detour_percent": 688.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Pāchchal", " End: Thimphu", " Waypoint: Newport", "Step 2: Calculate direct distance", " Start → End: 2023.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15966.4 km", "Step 4: Calculate detour", " Detour = 15966.4 - 2023.9 = 13942.5 km", " Detour % = (13942.5 / 2023.9) × 100 = 688.9%", "Step 5: Determine if on route (typically < 10% detour)", " 688.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 51.366, "lon": 12.367, "name": "Gohlis" }, "end": { "lat": 52.97633, "lon": -0.02664, "name": "Boston" }, "waypoint": { "lat": 26.93422, "lon": -80.09421, "name": "Jupiter" }, "question": "Is Jupiter approximately on the direct path from Gohlis to Boston?", "ground_truth": { "answer": false, "direct_distance_km": 862.8, "via_waypoint_km": 14868.9, "detour_km": 14006.1, "detour_percent": 1623.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Gohlis", " End: Boston", " Waypoint: Jupiter", "Step 2: Calculate direct distance", " Start → End: 862.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14868.9 km", "Step 4: Calculate detour", " Detour = 14868.9 - 862.8 = 14006.1 km", " Detour % = (14006.1 / 862.8) × 100 = 1623.4%", "Step 5: Determine if on route (typically < 10% detour)", " 1623.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -23.26917, "lon": -51.04806, "name": "Ibiporã" }, "end": { "lat": 51.83843, "lon": 8.03093, "name": "Ennigerloh" }, "waypoint": { "lat": 39.78504, "lon": -85.76942, "name": "Greenfield" }, "question": "Is Greenfield approximately on the direct path from Ibiporã to Ennigerloh?", "ground_truth": { "answer": false, "direct_distance_km": 10128.2, "via_waypoint_km": 14760.4, "detour_km": 4632.2, "detour_percent": 45.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ibiporã", " End: Ennigerloh", " Waypoint: Greenfield", "Step 2: Calculate direct distance", " Start → End: 10128.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14760.4 km", "Step 4: Calculate detour", " Detour = 14760.4 - 10128.2 = 4632.2 km", " Detour % = (4632.2 / 10128.2) × 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": -28.56003, "lon": -66.80737, "name": "Aimogasta" }, "end": { "lat": -2.88556, "lon": -40.12, "name": "Acaraú" }, "waypoint": { "lat": 16.75524, "lon": -22.9446, "name": "Espargos" }, "question": "Is Espargos approximately on the direct path from Aimogasta to Acaraú?", "ground_truth": { "answer": false, "direct_distance_km": 4016.0, "via_waypoint_km": 9786.2, "detour_km": 5770.3, "detour_percent": 143.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Aimogasta", " End: Acaraú", " Waypoint: Espargos", "Step 2: Calculate direct distance", " Start → End: 4016.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 9786.2 km", "Step 4: Calculate detour", " Detour = 9786.2 - 4016.0 = 5770.3 km", " Detour % = (5770.3 / 4016.0) × 100 = 143.7%", "Step 5: Determine if on route (typically < 10% detour)", " 143.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 6.22798, "lon": 1.5919, "name": "Aného" }, "end": { "lat": 34.58319, "lon": -2.50612, "name": "El Aïoun" }, "waypoint": { "lat": -5.07417, "lon": -37.98861, "name": "Quixeré" }, "question": "Is Quixeré approximately on the direct path from Aného to El Aïoun?", "ground_truth": { "answer": false, "direct_distance_km": 3180.9, "via_waypoint_km": 10336.5, "detour_km": 7155.6, "detour_percent": 225.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Aného", " End: El Aïoun", " Waypoint: Quixeré", "Step 2: Calculate direct distance", " Start → End: 3180.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 10336.5 km", "Step 4: Calculate detour", " Detour = 10336.5 - 3180.9 = 7155.6 km", " Detour % = (7155.6 / 3180.9) × 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": 25.84341, "lon": 93.43116, "name": "Diphu" }, "end": { "lat": 34.5, "lon": 116.75, "name": "Liangzhai" }, "waypoint": { "lat": 41.08871, "lon": -74.01347, "name": "Nanuet" }, "question": "Is Nanuet approximately on the direct path from Diphu to Liangzhai?", "ground_truth": { "answer": false, "direct_distance_km": 2432.0, "via_waypoint_km": 23998.9, "detour_km": 21566.9, "detour_percent": 886.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Diphu", " End: Liangzhai", " Waypoint: Nanuet", "Step 2: Calculate direct distance", " Start → End: 2432.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23998.9 km", "Step 4: Calculate detour", " Detour = 23998.9 - 2432.0 = 21566.9 km", " Detour % = (21566.9 / 2432.0) × 100 = 886.8%", "Step 5: Determine if on route (typically < 10% detour)", " 886.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -41.4693, "lon": -72.94237, "name": "Puerto Montt" }, "end": { "lat": 5.78928, "lon": -75.42725, "name": "Abejorral" }, "waypoint": { "lat": 53.17477, "lon": 5.42244, "name": "Harlingen" }, "question": "Is Harlingen approximately on the direct path from Puerto Montt to Abejorral?", "ground_truth": { "answer": false, "direct_distance_km": 5261.0, "via_waypoint_km": 21789.8, "detour_km": 16528.8, "detour_percent": 314.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Puerto Montt", " End: Abejorral", " Waypoint: Harlingen", "Step 2: Calculate direct distance", " Start → End: 5261.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21789.8 km", "Step 4: Calculate detour", " Detour = 21789.8 - 5261.0 = 16528.8 km", " Detour % = (16528.8 / 5261.0) × 100 = 314.2%", "Step 5: Determine if on route (typically < 10% detour)", " 314.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 53.3828, "lon": 55.91094, "name": "Salavat" }, "end": { "lat": -7.14, "lon": -35.08639, "name": "Cruz do Espírito Santo" }, "waypoint": { "lat": 31.73333, "lon": 131.06667, "name": "Miyakonojō" }, "question": "Is Miyakonojō approximately on the direct path from Salavat to Cruz do Espírito Santo?", "ground_truth": { "answer": false, "direct_distance_km": 10710.2, "via_waypoint_km": 23207.4, "detour_km": 12497.2, "detour_percent": 116.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Salavat", " End: Cruz do Espírito Santo", " Waypoint: Miyakonojō", "Step 2: Calculate direct distance", " Start → End: 10710.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23207.4 km", "Step 4: Calculate detour", " Detour = 23207.4 - 10710.2 = 12497.2 km", " Detour % = (12497.2 / 10710.2) × 100 = 116.7%", "Step 5: Determine if on route (typically < 10% detour)", " 116.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 36.41205, "lon": 6.59603, "name": "Hamma Bouziane" }, "end": { "lat": 30.14453, "lon": 74.19552, "name": "Abohar" }, "waypoint": { "lat": 35.69225, "lon": 139.87308, "name": "Edogawe" }, "question": "Is Edogawe approximately on the direct path from Hamma Bouziane to Abohar?", "ground_truth": { "answer": false, "direct_distance_km": 6195.3, "via_waypoint_km": 16704.8, "detour_km": 10509.5, "detour_percent": 169.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Hamma Bouziane", " End: Abohar", " Waypoint: Edogawe", "Step 2: Calculate direct distance", " Start → End: 6195.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16704.8 km", "Step 4: Calculate detour", " Detour = 16704.8 - 6195.3 = 10509.5 km", " Detour % = (10509.5 / 6195.3) × 100 = 169.6%", "Step 5: Determine if on route (typically < 10% detour)", " 169.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -7.83486, "lon": 26.99852, "name": "Mulongo" }, "end": { "lat": -28.66056, "lon": -56.00444, "name": "São Borja" }, "waypoint": { "lat": -19.51361, "lon": -43.745, "name": "Jaboticatubas" }, "question": "Is Jaboticatubas approximately on the direct path from Mulongo to São Borja?", "ground_truth": { "answer": true, "direct_distance_km": 8910.9, "via_waypoint_km": 9311.0, "detour_km": 400.1, "detour_percent": 4.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Mulongo", " End: São Borja", " Waypoint: Jaboticatubas", "Step 2: Calculate direct distance", " Start → End: 8910.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 9311.0 km", "Step 4: Calculate detour", " Detour = 9311.0 - 8910.9 = 400.1 km", " Detour % = (400.1 / 8910.9) × 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": -20.76361, "lon": -41.53306, "name": "Alegre" }, "end": { "lat": 26.0112, "lon": -80.14949, "name": "Hollywood" }, "waypoint": { "lat": 42.06975, "lon": -87.78784, "name": "Glenview" }, "question": "Is Glenview approximately on the direct path from Alegre to Hollywood?", "ground_truth": { "answer": false, "direct_distance_km": 6663.4, "via_waypoint_km": 10364.8, "detour_km": 3701.4, "detour_percent": 55.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Alegre", " End: Hollywood", " Waypoint: Glenview", "Step 2: Calculate direct distance", " Start → End: 6663.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 10364.8 km", "Step 4: Calculate detour", " Detour = 10364.8 - 6663.4 = 3701.4 km", " Detour % = (3701.4 / 6663.4) × 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": -8.44722, "lon": -40.77111, "name": "Dormentes" }, "end": { "lat": 36.1168, "lon": 36.51522, "name": "Kafr Takhārīm" }, "waypoint": { "lat": 30.33355, "lon": 107.34545, "name": "Guixi" }, "question": "Is Guixi approximately on the direct path from Dormentes to Kafr Takhārīm?", "ground_truth": { "answer": false, "direct_distance_km": 9438.1, "via_waypoint_km": 22380.0, "detour_km": 12941.9, "detour_percent": 137.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Dormentes", " End: Kafr Takhārīm", " Waypoint: Guixi", "Step 2: Calculate direct distance", " Start → End: 9438.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22380.0 km", "Step 4: Calculate detour", " Detour = 22380.0 - 9438.1 = 12941.9 km", " Detour % = (12941.9 / 9438.1) × 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": 53.2788, "lon": 36.58047, "name": "Mtsensk" }, "end": { "lat": 51.14447, "lon": 16.96937, "name": "Kozanów" }, "waypoint": { "lat": 45.88549, "lon": 6.08831, "name": "Seynod" }, "question": "Is Seynod approximately on the direct path from Mtsensk to Kozanów?", "ground_truth": { "answer": false, "direct_distance_km": 1352.6, "via_waypoint_km": 3315.9, "detour_km": 1963.3, "detour_percent": 145.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Mtsensk", " End: Kozanów", " Waypoint: Seynod", "Step 2: Calculate direct distance", " Start → End: 1352.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 3315.9 km", "Step 4: Calculate detour", " Detour = 3315.9 - 1352.6 = 1963.3 km", " Detour % = (1963.3 / 1352.6) × 100 = 145.1%", "Step 5: Determine if on route (typically < 10% detour)", " 145.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -38.02388, "lon": 144.40617, "name": "Lara" }, "end": { "lat": 36.11653, "lon": 6.35434, "name": "Telerghma" }, "waypoint": { "lat": 3.936, "lon": 102.3626, "name": "Jerantut" }, "question": "Is Jerantut approximately on the direct path from Lara to Telerghma?", "ground_truth": { "answer": true, "direct_distance_km": 16318.9, "via_waypoint_km": 16650.4, "detour_km": 331.4, "detour_percent": 2.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Lara", " End: Telerghma", " Waypoint: Jerantut", "Step 2: Calculate direct distance", " Start → End: 16318.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16650.4 km", "Step 4: Calculate detour", " Detour = 16650.4 - 16318.9 = 331.4 km", " Detour % = (331.4 / 16318.9) × 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": -11.95833, "lon": -38.975, "name": "Santa Bárbara" }, "end": { "lat": 55.07108, "lon": 38.78399, "name": "Kolomna" }, "waypoint": { "lat": 21.71361, "lon": 73.03231, "name": "Jhadeshwar" }, "question": "Is Jhadeshwar approximately on the direct path from Santa Bárbara to Kolomna?", "ground_truth": { "answer": false, "direct_distance_km": 10333.3, "via_waypoint_km": 17421.0, "detour_km": 7087.7, "detour_percent": 68.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Santa Bárbara", " End: Kolomna", " Waypoint: Jhadeshwar", "Step 2: Calculate direct distance", " Start → End: 10333.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17421.0 km", "Step 4: Calculate detour", " Detour = 17421.0 - 10333.3 = 7087.7 km", " Detour % = (7087.7 / 10333.3) × 100 = 68.6%", "Step 5: Determine if on route (typically < 10% detour)", " 68.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -8.52278, "lon": -36.44444, "name": "São Bento do Una" }, "end": { "lat": -12.76556, "lon": -39.42833, "name": "Castro Alves" }, "waypoint": { "lat": 1.50434, "lon": 103.87525, "name": "Bandar Seri Alam" }, "question": "Is Bandar Seri Alam approximately on the direct path from São Bento do Una to Castro Alves?", "ground_truth": { "answer": false, "direct_distance_km": 573.5, "via_waypoint_km": 31339.1, "detour_km": 30765.7, "detour_percent": 5365.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: São Bento do Una", " End: Castro Alves", " Waypoint: Bandar Seri Alam", "Step 2: Calculate direct distance", " Start → End: 573.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 31339.1 km", "Step 4: Calculate detour", " Detour = 31339.1 - 573.5 = 30765.7 km", " Detour % = (30765.7 / 573.5) × 100 = 5365.0%", "Step 5: Determine if on route (typically < 10% detour)", " 5365.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 40.84856, "lon": -111.90688, "name": "North Salt Lake" }, "end": { "lat": 49.55573, "lon": 22.2056, "name": "Sanok" }, "waypoint": { "lat": 19.85993, "lon": 82.93385, "name": "Jūnāgarh" }, "question": "Is Jūnāgarh approximately on the direct path from North Salt Lake to Sanok?", "ground_truth": { "answer": false, "direct_distance_km": 9008.3, "via_waypoint_km": 19337.3, "detour_km": 10329.0, "detour_percent": 114.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: North Salt Lake", " End: Sanok", " Waypoint: Jūnāgarh", "Step 2: Calculate direct distance", " Start → End: 9008.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19337.3 km", "Step 4: Calculate detour", " Detour = 19337.3 - 9008.3 = 10329.0 km", " Detour % = (10329.0 / 9008.3) × 100 = 114.7%", "Step 5: Determine if on route (typically < 10% detour)", " 114.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 26.15422, "lon": 78.7812, "name": "Seondha" }, "end": { "lat": 50.34984, "lon": 18.22606, "name": "Kędzierzyn-Koźle" }, "waypoint": { "lat": 53.66667, "lon": 10.01667, "name": "Langenhorn" }, "question": "Is Langenhorn approximately on the direct path from Seondha to Kędzierzyn-Koźle?", "ground_truth": { "answer": false, "direct_distance_km": 5739.3, "via_waypoint_km": 6986.2, "detour_km": 1246.9, "detour_percent": 21.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Seondha", " End: Kędzierzyn-Koźle", " Waypoint: Langenhorn", "Step 2: Calculate direct distance", " Start → End: 5739.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 6986.2 km", "Step 4: Calculate detour", " Detour = 6986.2 - 5739.3 = 1246.9 km", " Detour % = (1246.9 / 5739.3) × 100 = 21.7%", "Step 5: Determine if on route (typically < 10% detour)", " 21.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -7.47056, "lon": -34.80861, "name": "Pitimbu" }, "end": { "lat": 22.93333, "lon": 57.53333, "name": "Nizwá" }, "waypoint": { "lat": 41.38712, "lon": 2.13007, "name": "Les Corts" }, "question": "Is Les Corts approximately on the direct path from Pitimbu to Nizwá?", "ground_truth": { "answer": false, "direct_distance_km": 10568.8, "via_waypoint_km": 12108.1, "detour_km": 1539.3, "detour_percent": 14.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Pitimbu", " End: Nizwá", " Waypoint: Les Corts", "Step 2: Calculate direct distance", " Start → End: 10568.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12108.1 km", "Step 4: Calculate detour", " Detour = 12108.1 - 10568.8 = 1539.3 km", " Detour % = (1539.3 / 10568.8) × 100 = 14.6%", "Step 5: Determine if on route (typically < 10% detour)", " 14.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 48.78293, "lon": -123.70266, "name": "Duncan" }, "end": { "lat": 45.02366, "lon": 39.10436, "name": "Pashkovskiy" }, "waypoint": { "lat": 54.23575, "lon": 10.27934, "name": "Preetz" }, "question": "Is Preetz approximately on the direct path from Duncan to Pashkovskiy?", "ground_truth": { "answer": true, "direct_distance_km": 9451.3, "via_waypoint_km": 10070.6, "detour_km": 619.3, "detour_percent": 6.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Duncan", " End: Pashkovskiy", " Waypoint: Preetz", "Step 2: Calculate direct distance", " Start → End: 9451.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 10070.6 km", "Step 4: Calculate detour", " Detour = 10070.6 - 9451.3 = 619.3 km", " Detour % = (619.3 / 9451.3) × 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": -14.81909, "lon": 14.53504, "name": "Quipungo" }, "end": { "lat": 50.91239, "lon": 128.51238, "name": "Belogorsk" }, "waypoint": { "lat": 43.84652, "lon": 126.5608, "name": "Jilin" }, "question": "Is Jilin approximately on the direct path from Quipungo to Belogorsk?", "ground_truth": { "answer": true, "direct_distance_km": 12954.4, "via_waypoint_km": 13699.8, "detour_km": 745.4, "detour_percent": 5.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Quipungo", " End: Belogorsk", " Waypoint: Jilin", "Step 2: Calculate direct distance", " Start → End: 12954.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13699.8 km", "Step 4: Calculate detour", " Detour = 13699.8 - 12954.4 = 745.4 km", " Detour % = (745.4 / 12954.4) × 100 = 5.8%", "Step 5: Determine if on route (typically < 10% detour)", " 5.8% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 45.13338, "lon": 8.4525, "name": "Casale Monferrato" }, "end": { "lat": 34.5, "lon": 116.75, "name": "Liangzhai" }, "waypoint": { "lat": 40.63677, "lon": -74.15875, "name": "Mariners Harbor" }, "question": "Is Mariners Harbor approximately on the direct path from Casale Monferrato to Liangzhai?", "ground_truth": { "answer": false, "direct_distance_km": 8601.5, "via_waypoint_km": 18031.4, "detour_km": 9429.9, "detour_percent": 109.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Casale Monferrato", " End: Liangzhai", " Waypoint: Mariners Harbor", "Step 2: Calculate direct distance", " Start → End: 8601.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18031.4 km", "Step 4: Calculate detour", " Detour = 18031.4 - 8601.5 = 9429.9 km", " Detour % = (9429.9 / 8601.5) × 100 = 109.6%", "Step 5: Determine if on route (typically < 10% detour)", " 109.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 47.32829, "lon": -2.42934, "name": "Guérande" }, "end": { "lat": 35.97108, "lon": 6.87374, "name": "Aïn Fakroun" }, "waypoint": { "lat": -8.20591, "lon": 26.42036, "name": "Kipamba" }, "question": "Is Kipamba approximately on the direct path from Guérande to Aïn Fakroun?", "ground_truth": { "answer": false, "direct_distance_km": 1478.2, "via_waypoint_km": 12119.7, "detour_km": 10641.5, "detour_percent": 719.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Guérande", " End: Aïn Fakroun", " Waypoint: Kipamba", "Step 2: Calculate direct distance", " Start → End: 1478.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12119.7 km", "Step 4: Calculate detour", " Detour = 12119.7 - 1478.2 = 10641.5 km", " Detour % = (10641.5 / 1478.2) × 100 = 719.9%", "Step 5: Determine if on route (typically < 10% detour)", " 719.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 10.86225, "lon": 0.20762, "name": "Dapaong" }, "end": { "lat": 34.13612, "lon": -117.86534, "name": "Glendora" }, "waypoint": { "lat": 45.36551, "lon": 38.21194, "name": "Krasnoarmeyskaya" }, "question": "Is Krasnoarmeyskaya approximately on the direct path from Dapaong to Glendora?", "ground_truth": { "answer": false, "direct_distance_km": 11794.3, "via_waypoint_km": 16115.3, "detour_km": 4321.0, "detour_percent": 36.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Dapaong", " End: Glendora", " Waypoint: Krasnoarmeyskaya", "Step 2: Calculate direct distance", " Start → End: 11794.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16115.3 km", "Step 4: Calculate detour", " Detour = 16115.3 - 11794.3 = 4321.0 km", " Detour % = (4321.0 / 11794.3) × 100 = 36.6%", "Step 5: Determine if on route (typically < 10% detour)", " 36.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -33.5165, "lon": -56.89957, "name": "Trinidad" }, "end": { "lat": 9.22556, "lon": 42.33222, "name": "Babīlē" }, "waypoint": { "lat": 46.32143, "lon": 39.38551, "name": "Leningradskaya" }, "question": "Is Leningradskaya approximately on the direct path from Trinidad to Babīlē?", "ground_truth": { "answer": false, "direct_distance_km": 11424.3, "via_waypoint_km": 17204.3, "detour_km": 5780.0, "detour_percent": 50.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Trinidad", " End: Babīlē", " Waypoint: Leningradskaya", "Step 2: Calculate direct distance", " Start → End: 11424.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17204.3 km", "Step 4: Calculate detour", " Detour = 17204.3 - 11424.3 = 5780.0 km", " Detour % = (5780.0 / 11424.3) × 100 = 50.6%", "Step 5: Determine if on route (typically < 10% detour)", " 50.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 45.49458, "lon": 12.10775, "name": "Mirano" }, "end": { "lat": 11.05972, "lon": 75.90311, "name": "Moonniyur" }, "waypoint": { "lat": 10.13008, "lon": -71.25946, "name": "Lagunillas" }, "question": "Is Lagunillas approximately on the direct path from Mirano to Moonniyur?", "ground_truth": { "answer": false, "direct_distance_km": 7100.7, "via_waypoint_km": 24378.5, "detour_km": 17277.8, "detour_percent": 243.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Mirano", " End: Moonniyur", " Waypoint: Lagunillas", "Step 2: Calculate direct distance", " Start → End: 7100.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24378.5 km", "Step 4: Calculate detour", " Detour = 24378.5 - 7100.7 = 17277.8 km", " Detour % = (17277.8 / 7100.7) × 100 = 243.3%", "Step 5: Determine if on route (typically < 10% detour)", " 243.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 39.46976, "lon": -76.8319, "name": "Reisterstown" }, "end": { "lat": 43.98028, "lon": 81.31417, "name": "Dadamtu" }, "waypoint": { "lat": 44.92543, "lon": 25.4567, "name": "Târgovişte" }, "question": "Is Târgovişte approximately on the direct path from Reisterstown to Dadamtu?", "ground_truth": { "answer": false, "direct_distance_km": 10480.4, "via_waypoint_km": 12192.4, "detour_km": 1712.0, "detour_percent": 16.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Reisterstown", " End: Dadamtu", " Waypoint: Târgovişte", "Step 2: Calculate direct distance", " Start → End: 10480.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12192.4 km", "Step 4: Calculate detour", " Detour = 12192.4 - 10480.4 = 1712.0 km", " Detour % = (1712.0 / 10480.4) × 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": -37.74124, "lon": 144.73631, "name": "Caroline Springs" }, "end": { "lat": 44.53842, "lon": 18.66709, "name": "Tuzla" }, "waypoint": { "lat": -11.18389, "lon": -37.99833, "name": "Tobias Barreto" }, "question": "Is Tobias Barreto approximately on the direct path from Caroline Springs to Tuzla?", "ground_truth": { "answer": false, "direct_distance_km": 15519.2, "via_waypoint_km": 22976.9, "detour_km": 7457.6, "detour_percent": 48.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Caroline Springs", " End: Tuzla", " Waypoint: Tobias Barreto", "Step 2: Calculate direct distance", " Start → End: 15519.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22976.9 km", "Step 4: Calculate detour", " Detour = 22976.9 - 15519.2 = 7457.6 km", " Detour % = (7457.6 / 15519.2) × 100 = 48.1%", "Step 5: Determine if on route (typically < 10% detour)", " 48.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 6.15153, "lon": -75.61657, "name": "Sabaneta" }, "end": { "lat": 19.79344, "lon": -70.6884, "name": "Puerto Plata" }, "waypoint": { "lat": -37.91806, "lon": 145.03544, "name": "Bentleigh" }, "question": "Is Bentleigh approximately on the direct path from Sabaneta to Puerto Plata?", "ground_truth": { "answer": false, "direct_distance_km": 1607.7, "via_waypoint_km": 30638.2, "detour_km": 29030.5, "detour_percent": 1805.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Sabaneta", " End: Puerto Plata", " Waypoint: Bentleigh", "Step 2: Calculate direct distance", " Start → End: 1607.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 30638.2 km", "Step 4: Calculate detour", " Detour = 30638.2 - 1607.7 = 29030.5 km", " Detour % = (29030.5 / 1607.7) × 100 = 1805.8%", "Step 5: Determine if on route (typically < 10% detour)", " 1805.8% > 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": 34.425, "lon": 8.78417, "name": "Gafsa" }, "waypoint": { "lat": 37.38496, "lon": 27.25643, "name": "Didim" }, "question": "Is Didim approximately on the direct path from San José de Maipo to Gafsa?", "ground_truth": { "answer": false, "direct_distance_km": 11184.9, "via_waypoint_km": 14489.8, "detour_km": 3304.9, "detour_percent": 29.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: San José de Maipo", " End: Gafsa", " Waypoint: Didim", "Step 2: Calculate direct distance", " Start → End: 11184.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14489.8 km", "Step 4: Calculate detour", " Detour = 14489.8 - 11184.9 = 3304.9 km", " Detour % = (3304.9 / 11184.9) × 100 = 29.5%", "Step 5: Determine if on route (typically < 10% detour)", " 29.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 0.25344, "lon": 32.55723, "name": "Bunamwaya" }, "end": { "lat": 44.01759, "lon": 1.3542, "name": "Montauban" }, "waypoint": { "lat": 13.98411, "lon": 77.77224, "name": "Gorantla" }, "question": "Is Gorantla approximately on the direct path from Bunamwaya to Montauban?", "ground_truth": { "answer": false, "direct_distance_km": 5761.9, "via_waypoint_km": 13056.0, "detour_km": 7294.1, "detour_percent": 126.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Bunamwaya", " End: Montauban", " Waypoint: Gorantla", "Step 2: Calculate direct distance", " Start → End: 5761.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13056.0 km", "Step 4: Calculate detour", " Detour = 13056.0 - 5761.9 = 7294.1 km", " Detour % = (7294.1 / 5761.9) × 100 = 126.6%", "Step 5: Determine if on route (typically < 10% detour)", " 126.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -22.81667, "lon": 47.28333, "name": "Vondrozo" }, "end": { "lat": 22.38128, "lon": 113.97872, "name": "Sam Shing" }, "waypoint": { "lat": -21.76333, "lon": -52.11556, "name": "Presidente Epitácio" }, "question": "Is Presidente Epitácio approximately on the direct path from Vondrozo to Sam Shing?", "ground_truth": { "answer": false, "direct_distance_km": 8792.7, "via_waypoint_km": 28563.2, "detour_km": 19770.6, "detour_percent": 224.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Vondrozo", " End: Sam Shing", " Waypoint: Presidente Epitácio", "Step 2: Calculate direct distance", " Start → End: 8792.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 28563.2 km", "Step 4: Calculate detour", " Detour = 28563.2 - 8792.7 = 19770.6 km", " Detour % = (19770.6 / 8792.7) × 100 = 224.9%", "Step 5: Determine if on route (typically < 10% detour)", " 224.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 21.40241, "lon": -157.74054, "name": "Kailua" }, "end": { "lat": 2.691, "lon": 101.989, "name": "Taman Senawang Indah" }, "waypoint": { "lat": -27.91402, "lon": 25.16111, "name": "Christiana" }, "question": "Is Christiana approximately on the direct path from Kailua to Taman Senawang Indah?", "ground_truth": { "answer": false, "direct_distance_km": 10958.3, "via_waypoint_km": 28093.9, "detour_km": 17135.6, "detour_percent": 156.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kailua", " End: Taman Senawang Indah", " Waypoint: Christiana", "Step 2: Calculate direct distance", " Start → End: 10958.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 28093.9 km", "Step 4: Calculate detour", " Detour = 28093.9 - 10958.3 = 17135.6 km", " Detour % = (17135.6 / 10958.3) × 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": -20.55284, "lon": 46.80365, "name": "Ambatofinandrahana" }, "end": { "lat": 52.28906, "lon": 11.40982, "name": "Haldensleben I" }, "waypoint": { "lat": 64.5461, "lon": 40.55183, "name": "Arkhangel’sk" }, "question": "Is Arkhangel’sk approximately on the direct path from Ambatofinandrahana to Haldensleben I?", "ground_truth": { "answer": false, "direct_distance_km": 8795.1, "via_waypoint_km": 11621.5, "detour_km": 2826.4, "detour_percent": 32.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ambatofinandrahana", " End: Haldensleben I", " Waypoint: Arkhangel’sk", "Step 2: Calculate direct distance", " Start → End: 8795.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 11621.5 km", "Step 4: Calculate detour", " Detour = 11621.5 - 8795.1 = 2826.4 km", " Detour % = (2826.4 / 8795.1) × 100 = 32.1%", "Step 5: Determine if on route (typically < 10% detour)", " 32.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 35.46756, "lon": -97.51643, "name": "Oklahoma City" }, "end": { "lat": 29.79094, "lon": 77.87836, "name": "Manglaur" }, "waypoint": { "lat": 55.75533, "lon": 38.09578, "name": "Zarya" }, "question": "Is Zarya approximately on the direct path from Oklahoma City to Manglaur?", "ground_truth": { "answer": true, "direct_distance_km": 12742.7, "via_waypoint_km": 13280.7, "detour_km": 538.0, "detour_percent": 4.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Oklahoma City", " End: Manglaur", " Waypoint: Zarya", "Step 2: Calculate direct distance", " Start → End: 12742.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13280.7 km", "Step 4: Calculate detour", " Detour = 13280.7 - 12742.7 = 538.0 km", " Detour % = (538.0 / 12742.7) × 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": 10.59918, "lon": 76.21801, "name": "Killannur" }, "end": { "lat": 9.58144, "lon": -69.23851, "name": "Araure" }, "waypoint": { "lat": 56.72676, "lon": -111.38103, "name": "Fort McMurray" }, "question": "Is Fort McMurray approximately on the direct path from Killannur to Araure?", "ground_truth": { "answer": false, "direct_distance_km": 15584.0, "via_waypoint_km": 18867.2, "detour_km": 3283.2, "detour_percent": 21.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Killannur", " End: Araure", " Waypoint: Fort McMurray", "Step 2: Calculate direct distance", " Start → End: 15584.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18867.2 km", "Step 4: Calculate detour", " Detour = 18867.2 - 15584.0 = 3283.2 km", " Detour % = (3283.2 / 15584.0) × 100 = 21.1%", "Step 5: Determine if on route (typically < 10% detour)", " 21.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 47.90572, "lon": 33.39404, "name": "Kryvyy Rih" }, "end": { "lat": -11.6725, "lon": -61.19361, "name": "Pimenta Bueno" }, "waypoint": { "lat": 5.30383, "lon": -1.98956, "name": "Tarkwa" }, "question": "Is Tarkwa approximately on the direct path from Kryvyy Rih to Pimenta Bueno?", "ground_truth": { "answer": false, "direct_distance_km": 11307.5, "via_waypoint_km": 12619.3, "detour_km": 1311.7, "detour_percent": 11.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kryvyy Rih", " End: Pimenta Bueno", " Waypoint: Tarkwa", "Step 2: Calculate direct distance", " Start → End: 11307.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12619.3 km", "Step 4: Calculate detour", " Detour = 12619.3 - 11307.5 = 1311.7 km", " Detour % = (1311.7 / 11307.5) × 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": 21.31977, "lon": 72.88167, "name": "Sayan" }, "end": { "lat": 10.4119, "lon": -71.68919, "name": "Concepción" }, "waypoint": { "lat": 41.13839, "lon": -81.86375, "name": "Medina" }, "question": "Is Medina approximately on the direct path from Sayan to Concepción?", "ground_truth": { "answer": true, "direct_distance_km": 14779.1, "via_waypoint_km": 16156.2, "detour_km": 1377.1, "detour_percent": 9.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Sayan", " End: Concepción", " Waypoint: Medina", "Step 2: Calculate direct distance", " Start → End: 14779.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16156.2 km", "Step 4: Calculate detour", " Detour = 16156.2 - 14779.1 = 1377.1 km", " Detour % = (1377.1 / 14779.1) × 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": 10.89469, "lon": -1.09083, "name": "Navrongo" }, "end": { "lat": 39.48623, "lon": -75.02573, "name": "Vineland" }, "waypoint": { "lat": 23.37795, "lon": 120.16154, "name": "Budai" }, "question": "Is Budai approximately on the direct path from Navrongo to Vineland?", "ground_truth": { "answer": false, "direct_distance_km": 7865.6, "via_waypoint_km": 25427.2, "detour_km": 17561.7, "detour_percent": 223.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Navrongo", " End: Vineland", " Waypoint: Budai", "Step 2: Calculate direct distance", " Start → End: 7865.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 25427.2 km", "Step 4: Calculate detour", " Detour = 25427.2 - 7865.6 = 17561.7 km", " Detour % = (17561.7 / 7865.6) × 100 = 223.3%", "Step 5: Determine if on route (typically < 10% detour)", " 223.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 34.79435, "lon": 10.80617, "name": "Sakiet ed Daier" }, "end": { "lat": 39.93484, "lon": -75.03073, "name": "Cherry Hill" }, "waypoint": { "lat": -53.78773, "lon": -67.70975, "name": "Río Grande" }, "question": "Is Río Grande approximately on the direct path from Sakiet ed Daier to Cherry Hill?", "ground_truth": { "answer": false, "direct_distance_km": 7302.0, "via_waypoint_km": 22824.9, "detour_km": 15522.9, "detour_percent": 212.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Sakiet ed Daier", " End: Cherry Hill", " Waypoint: Río Grande", "Step 2: Calculate direct distance", " Start → End: 7302.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22824.9 km", "Step 4: Calculate detour", " Detour = 22824.9 - 7302.0 = 15522.9 km", " Detour % = (15522.9 / 7302.0) × 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": 44.11806, "lon": 43.40278, "name": "Nezlobnaya" }, "end": { "lat": 44.58014, "lon": 38.06646, "name": "Gelendzhik" }, "waypoint": { "lat": 35.88889, "lon": 2.74905, "name": "Ksar el Boukhari" }, "question": "Is Ksar el Boukhari approximately on the direct path from Nezlobnaya to Gelendzhik?", "ground_truth": { "answer": false, "direct_distance_km": 427.3, "via_waypoint_km": 6664.7, "detour_km": 6237.4, "detour_percent": 1459.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Nezlobnaya", " End: Gelendzhik", " Waypoint: Ksar el Boukhari", "Step 2: Calculate direct distance", " Start → End: 427.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 6664.7 km", "Step 4: Calculate detour", " Detour = 6664.7 - 427.3 = 6237.4 km", " Detour % = (6237.4 / 427.3) × 100 = 1459.6%", "Step 5: Determine if on route (typically < 10% detour)", " 1459.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -38.74451, "lon": -72.95025, "name": "Nueva Imperial" }, "end": { "lat": 32.71557, "lon": 44.27857, "name": "Nāḩīyat Saddat al Hindīyah" }, "waypoint": { "lat": 54.53333, "lon": -1.3, "name": "Thornaby-on-Tees" }, "question": "Is Thornaby-on-Tees approximately on the direct path from Nueva Imperial to Nāḩīyat Saddat al Hindīyah?", "ground_truth": { "answer": false, "direct_distance_km": 14419.8, "via_waypoint_km": 16691.8, "detour_km": 2272.1, "detour_percent": 15.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Nueva Imperial", " End: Nāḩīyat Saddat al Hindīyah", " Waypoint: Thornaby-on-Tees", "Step 2: Calculate direct distance", " Start → End: 14419.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16691.8 km", "Step 4: Calculate detour", " Detour = 16691.8 - 14419.8 = 2272.1 km", " Detour % = (2272.1 / 14419.8) × 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": 49.49346, "lon": 0.10785, "name": "Le Havre" }, "end": { "lat": 34.08668, "lon": -118.27023, "name": "Silver Lake" }, "waypoint": { "lat": 36.58597, "lon": -79.39502, "name": "Danville" }, "question": "Is Danville approximately on the direct path from Le Havre to Silver Lake?", "ground_truth": { "answer": false, "direct_distance_km": 8916.3, "via_waypoint_km": 9824.4, "detour_km": 908.1, "detour_percent": 10.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Le Havre", " End: Silver Lake", " Waypoint: Danville", "Step 2: Calculate direct distance", " Start → End: 8916.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 9824.4 km", "Step 4: Calculate detour", " Detour = 9824.4 - 8916.3 = 908.1 km", " Detour % = (908.1 / 8916.3) × 100 = 10.2%", "Step 5: Determine if on route (typically < 10% detour)", " 10.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 31.99866, "lon": 34.94559, "name": "Shoham" }, "end": { "lat": 52.54608, "lon": 13.5013, "name": "Alt-Hohenschönhausen" }, "waypoint": { "lat": 52.70793, "lon": 25.33509, "name": "Ivatsevichi" }, "question": "Is Ivatsevichi approximately on the direct path from Shoham to Alt-Hohenschönhausen?", "ground_truth": { "answer": false, "direct_distance_km": 2863.5, "via_waypoint_km": 3227.4, "detour_km": 363.9, "detour_percent": 12.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Shoham", " End: Alt-Hohenschönhausen", " Waypoint: Ivatsevichi", "Step 2: Calculate direct distance", " Start → End: 2863.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 3227.4 km", "Step 4: Calculate detour", " Detour = 3227.4 - 2863.5 = 363.9 km", " Detour % = (363.9 / 2863.5) × 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": 50.93409, "lon": 4.37213, "name": "Grimbergen" }, "end": { "lat": 31.3224, "lon": -109.54251, "name": "Agua Prieta" }, "waypoint": { "lat": 11.78083, "lon": -0.73389, "name": "Béguédo" }, "question": "Is Béguédo approximately on the direct path from Grimbergen to Agua Prieta?", "ground_truth": { "answer": false, "direct_distance_km": 8819.6, "via_waypoint_km": 15432.1, "detour_km": 6612.5, "detour_percent": 75.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Grimbergen", " End: Agua Prieta", " Waypoint: Béguédo", "Step 2: Calculate direct distance", " Start → End: 8819.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15432.1 km", "Step 4: Calculate detour", " Detour = 15432.1 - 8819.6 = 6612.5 km", " Detour % = (6612.5 / 8819.6) × 100 = 75.0%", "Step 5: Determine if on route (typically < 10% detour)", " 75.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 34.41333, "lon": -119.86097, "name": "Isla Vista" }, "end": { "lat": 43.08124, "lon": 25.62904, "name": "Veliko Tŭrnovo" }, "waypoint": { "lat": 22.53884, "lon": 72.71984, "name": "Sojītra" }, "question": "Is Sojītra approximately on the direct path from Isla Vista to Veliko Tŭrnovo?", "ground_truth": { "answer": false, "direct_distance_km": 10713.0, "via_waypoint_km": 18420.6, "detour_km": 7707.6, "detour_percent": 71.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Isla Vista", " End: Veliko Tŭrnovo", " Waypoint: Sojītra", "Step 2: Calculate direct distance", " Start → End: 10713.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18420.6 km", "Step 4: Calculate detour", " Detour = 18420.6 - 10713.0 = 7707.6 km", " Detour % = (7707.6 / 10713.0) × 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": 40.79356, "lon": 17.12681, "name": "Noci" }, "end": { "lat": 50.42289, "lon": 7.57924, "name": "Bendorf" }, "waypoint": { "lat": -33.13044, "lon": -64.35272, "name": "Río Cuarto" }, "question": "Is Río Cuarto approximately on the direct path from Noci to Bendorf?", "ground_truth": { "answer": false, "direct_distance_km": 1300.8, "via_waypoint_km": 23359.5, "detour_km": 22058.7, "detour_percent": 1695.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Noci", " End: Bendorf", " Waypoint: Río Cuarto", "Step 2: Calculate direct distance", " Start → End: 1300.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23359.5 km", "Step 4: Calculate detour", " Detour = 23359.5 - 1300.8 = 22058.7 km", " Detour % = (22058.7 / 1300.8) × 100 = 1695.8%", "Step 5: Determine if on route (typically < 10% detour)", " 1695.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 35.09579, "lon": -1.85772, "name": "Ghazaouet" }, "end": { "lat": 38.56556, "lon": 125.42722, "name": "Ŭnch’ŏn-ŭp" }, "waypoint": { "lat": 26.4835, "lon": 89.52286, "name": "Alīpur Duār" }, "question": "Is Alīpur Duār approximately on the direct path from Ghazaouet to Ŭnch’ŏn-ŭp?", "ground_truth": { "answer": false, "direct_distance_km": 10193.1, "via_waypoint_km": 12067.8, "detour_km": 1874.8, "detour_percent": 18.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ghazaouet", " End: Ŭnch’ŏn-ŭp", " Waypoint: Alīpur Duār", "Step 2: Calculate direct distance", " Start → End: 10193.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12067.8 km", "Step 4: Calculate detour", " Detour = 12067.8 - 10193.1 = 1874.8 km", " Detour % = (1874.8 / 10193.1) × 100 = 18.4%", "Step 5: Determine if on route (typically < 10% detour)", " 18.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 9.62376, "lon": -0.82705, "name": "Savelugu" }, "end": { "lat": -20.23333, "lon": 47.38333, "name": "Fandriana" }, "waypoint": { "lat": 44.55468, "lon": 4.75469, "name": "Montélimar" }, "question": "Is Montélimar approximately on the direct path from Savelugu to Fandriana?", "ground_truth": { "answer": false, "direct_distance_km": 6231.0, "via_waypoint_km": 12323.4, "detour_km": 6092.4, "detour_percent": 97.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Savelugu", " End: Fandriana", " Waypoint: Montélimar", "Step 2: Calculate direct distance", " Start → End: 6231.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12323.4 km", "Step 4: Calculate detour", " Detour = 12323.4 - 6231.0 = 6092.4 km", " Detour % = (6092.4 / 6231.0) × 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": 40.41483, "lon": -74.36543, "name": "Old Bridge" }, "end": { "lat": 34.05779, "lon": -118.30091, "name": "Koreatown" }, "waypoint": { "lat": 4.93333, "lon": 13.3, "name": "Bélabo" }, "question": "Is Bélabo approximately on the direct path from Old Bridge to Koreatown?", "ground_truth": { "answer": false, "direct_distance_km": 3912.2, "via_waypoint_km": 22797.1, "detour_km": 18884.9, "detour_percent": 482.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Old Bridge", " End: Koreatown", " Waypoint: Bélabo", "Step 2: Calculate direct distance", " Start → End: 3912.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22797.1 km", "Step 4: Calculate detour", " Detour = 22797.1 - 3912.2 = 18884.9 km", " Detour % = (18884.9 / 3912.2) × 100 = 482.7%", "Step 5: Determine if on route (typically < 10% detour)", " 482.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 39.53316, "lon": -76.33746, "name": "South Bel Air" }, "end": { "lat": 58.47959, "lon": 41.53587, "name": "Buy" }, "waypoint": { "lat": -36.88012, "lon": 174.61975, "name": "Henderson" }, "question": "Is Henderson approximately on the direct path from South Bel Air to Buy?", "ground_truth": { "answer": false, "direct_distance_km": 7701.6, "via_waypoint_km": 29861.4, "detour_km": 22159.8, "detour_percent": 287.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: South Bel Air", " End: Buy", " Waypoint: Henderson", "Step 2: Calculate direct distance", " Start → End: 7701.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 29861.4 km", "Step 4: Calculate detour", " Detour = 29861.4 - 7701.6 = 22159.8 km", " Detour % = (22159.8 / 7701.6) × 100 = 287.7%", "Step 5: Determine if on route (typically < 10% detour)", " 287.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 41.03288, "lon": 13.94354, "name": "Castel Volturno" }, "end": { "lat": 21.61675, "lon": 73.02759, "name": "Anklesvar INA" }, "waypoint": { "lat": 12.8, "lon": 99.96667, "name": "Cha-am" }, "question": "Is Cha-am approximately on the direct path from Castel Volturno to Anklesvar INA?", "ground_truth": { "answer": false, "direct_distance_km": 5890.6, "via_waypoint_km": 11766.7, "detour_km": 5876.1, "detour_percent": 99.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Castel Volturno", " End: Anklesvar INA", " Waypoint: Cha-am", "Step 2: Calculate direct distance", " Start → End: 5890.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 11766.7 km", "Step 4: Calculate detour", " Detour = 11766.7 - 5890.6 = 5876.1 km", " Detour % = (5876.1 / 5890.6) × 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": 49.7685, "lon": 4.72487, "name": "Charleville-Mézières" }, "end": { "lat": 43.14962, "lon": 6.07399, "name": "La Crau" }, "waypoint": { "lat": -21.175, "lon": -43.01778, "name": "Tocantins" }, "question": "Is Tocantins approximately on the direct path from Charleville-Mézières to La Crau?", "ground_truth": { "answer": false, "direct_distance_km": 743.2, "via_waypoint_km": 17916.6, "detour_km": 17173.4, "detour_percent": 2310.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Charleville-Mézières", " End: La Crau", " Waypoint: Tocantins", "Step 2: Calculate direct distance", " Start → End: 743.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17916.6 km", "Step 4: Calculate detour", " Detour = 17916.6 - 743.2 = 17173.4 km", " Detour % = (17173.4 / 743.2) × 100 = 2310.8%", "Step 5: Determine if on route (typically < 10% detour)", " 2310.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 19.89021, "lon": 86.09761, "name": "Konārka" }, "end": { "lat": -33.73333, "lon": 151.0, "name": "Castle Hill" }, "waypoint": { "lat": -37.93333, "lon": 145.23333, "name": "Rowville" }, "question": "Is Rowville approximately on the direct path from Konārka to Castle Hill?", "ground_truth": { "answer": true, "direct_distance_km": 9094.8, "via_waypoint_km": 9609.1, "detour_km": 514.3, "detour_percent": 5.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Konārka", " End: Castle Hill", " Waypoint: Rowville", "Step 2: Calculate direct distance", " Start → End: 9094.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 9609.1 km", "Step 4: Calculate detour", " Detour = 9609.1 - 9094.8 = 514.3 km", " Detour % = (514.3 / 9094.8) × 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": 2.37351, "lon": 20.49769, "name": "Binga" }, "end": { "lat": 34.79584, "lon": -5.57849, "name": "Ouezzane" }, "waypoint": { "lat": 48.14446, "lon": 37.30058, "name": "Selydove" }, "question": "Is Selydove approximately on the direct path from Binga to Ouezzane?", "ground_truth": { "answer": false, "direct_distance_km": 4501.5, "via_waypoint_km": 9146.6, "detour_km": 4645.1, "detour_percent": 103.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Binga", " End: Ouezzane", " Waypoint: Selydove", "Step 2: Calculate direct distance", " Start → End: 4501.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 9146.6 km", "Step 4: Calculate detour", " Detour = 9146.6 - 4501.5 = 4645.1 km", " Detour % = (4645.1 / 4501.5) × 100 = 103.2%", "Step 5: Determine if on route (typically < 10% detour)", " 103.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 25.81201, "lon": -100.59874, "name": "García" }, "end": { "lat": 17.51692, "lon": 99.75978, "name": "Si Satchanalai" }, "waypoint": { "lat": -6.32944, "lon": -47.41639, "name": "Tocantinópolis" }, "question": "Is Tocantinópolis approximately on the direct path from García to Si Satchanalai?", "ground_truth": { "answer": false, "direct_distance_km": 14717.9, "via_waypoint_km": 22999.9, "detour_km": 8282.1, "detour_percent": 56.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: García", " End: Si Satchanalai", " Waypoint: Tocantinópolis", "Step 2: Calculate direct distance", " Start → End: 14717.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22999.9 km", "Step 4: Calculate detour", " Detour = 22999.9 - 14717.9 = 8282.1 km", " Detour % = (8282.1 / 14717.9) × 100 = 56.3%", "Step 5: Determine if on route (typically < 10% detour)", " 56.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -12.11331, "lon": -77.03274, "name": "Miraflores" }, "end": { "lat": 35.38592, "lon": -94.39855, "name": "Fort Smith" }, "waypoint": { "lat": 41.69993, "lon": 2.84565, "name": "Lloret de Mar" }, "question": "Is Lloret de Mar approximately on the direct path from Miraflores to Fort Smith?", "ground_truth": { "answer": false, "direct_distance_km": 5589.0, "via_waypoint_km": 18089.3, "detour_km": 12500.3, "detour_percent": 223.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Miraflores", " End: Fort Smith", " Waypoint: Lloret de Mar", "Step 2: Calculate direct distance", " Start → End: 5589.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18089.3 km", "Step 4: Calculate detour", " Detour = 18089.3 - 5589.0 = 12500.3 km", " Detour % = (12500.3 / 5589.0) × 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": 41.03226, "lon": 21.33553, "name": "Bitola" }, "end": { "lat": 10.33496, "lon": 76.13924, "name": "Kaipamangalam" }, "waypoint": { "lat": -15.61778, "lon": -46.42333, "name": "Buritis" }, "question": "Is Buritis approximately on the direct path from Bitola to Kaipamangalam?", "ground_truth": { "answer": false, "direct_distance_km": 6331.5, "via_waypoint_km": 23161.5, "detour_km": 16829.9, "detour_percent": 265.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Bitola", " End: Kaipamangalam", " Waypoint: Buritis", "Step 2: Calculate direct distance", " Start → End: 6331.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23161.5 km", "Step 4: Calculate detour", " Detour = 23161.5 - 6331.5 = 16829.9 km", " Detour % = (16829.9 / 6331.5) × 100 = 265.8%", "Step 5: Determine if on route (typically < 10% detour)", " 265.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 11.0433, "lon": 20.28342, "name": "Am Timan" }, "end": { "lat": 33.7, "lon": 135.41667, "name": "Asso" }, "waypoint": { "lat": 50.52175, "lon": 30.25055, "name": "Irpin" }, "question": "Is Irpin approximately on the direct path from Am Timan to Asso?", "ground_truth": { "answer": true, "direct_distance_km": 11555.1, "via_waypoint_km": 12617.1, "detour_km": 1062.0, "detour_percent": 9.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Am Timan", " End: Asso", " Waypoint: Irpin", "Step 2: Calculate direct distance", " Start → End: 11555.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12617.1 km", "Step 4: Calculate detour", " Detour = 12617.1 - 11555.1 = 1062.0 km", " Detour % = (1062.0 / 11555.1) × 100 = 9.2%", "Step 5: Determine if on route (typically < 10% detour)", " 9.2% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -5.50556, "lon": -45.24333, "name": "Barra do Corda" }, "end": { "lat": 25.44185, "lon": -102.17808, "name": "Parras de la Fuente" }, "waypoint": { "lat": 51.61101, "lon": 0.52331, "name": "Wickford" }, "question": "Is Wickford approximately on the direct path from Barra do Corda to Parras de la Fuente?", "ground_truth": { "answer": false, "direct_distance_km": 7039.5, "via_waypoint_km": 16325.9, "detour_km": 9286.4, "detour_percent": 131.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Barra do Corda", " End: Parras de la Fuente", " Waypoint: Wickford", "Step 2: Calculate direct distance", " Start → End: 7039.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16325.9 km", "Step 4: Calculate detour", " Detour = 16325.9 - 7039.5 = 9286.4 km", " Detour % = (9286.4 / 7039.5) × 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": 23.19259, "lon": 82.1272, "name": "Bangawan" }, "end": { "lat": 8.65972, "lon": -75.12809, "name": "San Marcos" }, "waypoint": { "lat": 51.95453, "lon": 8.6622, "name": "Oerlinghausen" }, "question": "Is Oerlinghausen approximately on the direct path from Bangawan to San Marcos?", "ground_truth": { "answer": true, "direct_distance_km": 15694.7, "via_waypoint_km": 15705.9, "detour_km": 11.2, "detour_percent": 0.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Bangawan", " End: San Marcos", " Waypoint: Oerlinghausen", "Step 2: Calculate direct distance", " Start → End: 15694.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15705.9 km", "Step 4: Calculate detour", " Detour = 15705.9 - 15694.7 = 11.2 km", " Detour % = (11.2 / 15694.7) × 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": 18.45319, "lon": -70.7349, "name": "Azua" }, "end": { "lat": -19.30323, "lon": 146.72531, "name": "Kirwan" }, "waypoint": { "lat": 11.86357, "lon": -15.59767, "name": "Bissau" }, "question": "Is Bissau approximately on the direct path from Azua to Kirwan?", "ground_truth": { "answer": false, "direct_distance_km": 16080.3, "via_waypoint_km": 23892.8, "detour_km": 7812.5, "detour_percent": 48.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Azua", " End: Kirwan", " Waypoint: Bissau", "Step 2: Calculate direct distance", " Start → End: 16080.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23892.8 km", "Step 4: Calculate detour", " Detour = 23892.8 - 16080.3 = 7812.5 km", " Detour % = (7812.5 / 16080.3) × 100 = 48.6%", "Step 5: Determine if on route (typically < 10% detour)", " 48.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 24.09082, "lon": 32.89942, "name": "Aswān" }, "end": { "lat": 34.1089, "lon": 46.52988, "name": "Eslāmābād-e Gharb" }, "waypoint": { "lat": 12.54654, "lon": 77.42005, "name": "Kanakapura" }, "question": "Is Kanakapura approximately on the direct path from Aswān to Eslāmābād-e Gharb?", "ground_truth": { "answer": false, "direct_distance_km": 1727.5, "via_waypoint_km": 8783.0, "detour_km": 7055.6, "detour_percent": 408.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Aswān", " End: Eslāmābād-e Gharb", " Waypoint: Kanakapura", "Step 2: Calculate direct distance", " Start → End: 1727.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 8783.0 km", "Step 4: Calculate detour", " Detour = 8783.0 - 1727.5 = 7055.6 km", " Detour % = (7055.6 / 1727.5) × 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": 30.36056, "lon": 31.3776, "name": "Mashtūl as Sūq" }, "end": { "lat": -22.995, "lon": -47.50778, "name": "Capivari" }, "waypoint": { "lat": 57.65307, "lon": 14.69676, "name": "Nässjö" }, "question": "Is Nässjö approximately on the direct path from Mashtūl as Sūq to Capivari?", "ground_truth": { "answer": false, "direct_distance_km": 10290.1, "via_waypoint_km": 13942.5, "detour_km": 3652.5, "detour_percent": 35.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Mashtūl as Sūq", " End: Capivari", " Waypoint: Nässjö", "Step 2: Calculate direct distance", " Start → End: 10290.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13942.5 km", "Step 4: Calculate detour", " Detour = 13942.5 - 10290.1 = 3652.5 km", " Detour % = (3652.5 / 10290.1) × 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": 42.49276, "lon": -92.34296, "name": "Waterloo" }, "end": { "lat": 43.29639, "lon": -2.98813, "name": "Barakaldo" }, "waypoint": { "lat": 44.62133, "lon": 21.18782, "name": "Požarevac" }, "question": "Is Požarevac approximately on the direct path from Waterloo to Barakaldo?", "ground_truth": { "answer": false, "direct_distance_km": 6895.5, "via_waypoint_km": 10232.7, "detour_km": 3337.3, "detour_percent": 48.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Waterloo", " End: Barakaldo", " Waypoint: Požarevac", "Step 2: Calculate direct distance", " Start → End: 6895.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 10232.7 km", "Step 4: Calculate detour", " Detour = 10232.7 - 6895.5 = 3337.3 km", " Detour % = (3337.3 / 6895.5) × 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": 51.23862, "lon": -2.9978, "name": "Burnham-on-Sea" }, "end": { "lat": 37.98468, "lon": 23.64711, "name": "Korydallós" }, "waypoint": { "lat": -23.18111, "lon": -46.395, "name": "Nazaré Paulista" }, "question": "Is Nazaré Paulista approximately on the direct path from Burnham-on-Sea to Korydallós?", "ground_truth": { "answer": false, "direct_distance_km": 2550.1, "via_waypoint_km": 19272.8, "detour_km": 16722.7, "detour_percent": 655.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Burnham-on-Sea", " End: Korydallós", " Waypoint: Nazaré Paulista", "Step 2: Calculate direct distance", " Start → End: 2550.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19272.8 km", "Step 4: Calculate detour", " Detour = 19272.8 - 2550.1 = 16722.7 km", " Detour % = (16722.7 / 2550.1) × 100 = 655.8%", "Step 5: Determine if on route (typically < 10% detour)", " 655.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -24.40659, "lon": 25.49508, "name": "Molepolole" }, "end": { "lat": 14.6, "lon": 120.9833, "name": "Quiapo" }, "waypoint": { "lat": 51.44665, "lon": 6.55194, "name": "Neukirchen-Vluyn" }, "question": "Is Neukirchen-Vluyn approximately on the direct path from Molepolole to Quiapo?", "ground_truth": { "answer": false, "direct_distance_km": 11215.3, "via_waypoint_km": 18976.7, "detour_km": 7761.4, "detour_percent": 69.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Molepolole", " End: Quiapo", " Waypoint: Neukirchen-Vluyn", "Step 2: Calculate direct distance", " Start → End: 11215.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18976.7 km", "Step 4: Calculate detour", " Detour = 18976.7 - 11215.3 = 7761.4 km", " Detour % = (7761.4 / 11215.3) × 100 = 69.2%", "Step 5: Determine if on route (typically < 10% detour)", " 69.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -20.31944, "lon": -40.33778, "name": "Vitória" }, "end": { "lat": -25.48238, "lon": 27.83925, "name": "Letlhabile" }, "waypoint": { "lat": 38.87796, "lon": -77.00314, "name": "Capitol Riverfront" }, "question": "Is Capitol Riverfront approximately on the direct path from Vitória to Letlhabile?", "ground_truth": { "answer": false, "direct_distance_km": 6932.8, "via_waypoint_km": 20590.8, "detour_km": 13658.0, "detour_percent": 197.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Vitória", " End: Letlhabile", " Waypoint: Capitol Riverfront", "Step 2: Calculate direct distance", " Start → End: 6932.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20590.8 km", "Step 4: Calculate detour", " Detour = 20590.8 - 6932.8 = 13658.0 km", " Detour % = (13658.0 / 6932.8) × 100 = 197.0%", "Step 5: Determine if on route (typically < 10% detour)", " 197.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 10.53646, "lon": 76.98034, "name": "Kottur" }, "end": { "lat": -22.39028, "lon": -44.96667, "name": "Passa Quatro" }, "waypoint": { "lat": -23.44859, "lon": -46.68839, "name": "Brasilandia" }, "question": "Is Brasilandia approximately on the direct path from Kottur to Passa Quatro?", "ground_truth": { "answer": true, "direct_distance_km": 13722.7, "via_waypoint_km": 14105.3, "detour_km": 382.6, "detour_percent": 2.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kottur", " End: Passa Quatro", " Waypoint: Brasilandia", "Step 2: Calculate direct distance", " Start → End: 13722.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14105.3 km", "Step 4: Calculate detour", " Detour = 14105.3 - 13722.7 = 382.6 km", " Detour % = (382.6 / 13722.7) × 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": 58.70971, "lon": 13.82367, "name": "Mariestad" }, "end": { "lat": 21.34694, "lon": -158.08583, "name": "Makakilo City" }, "waypoint": { "lat": 30.49238, "lon": -9.6355, "name": "Aourir" }, "question": "Is Aourir approximately on the direct path from Mariestad to Makakilo City?", "ground_truth": { "answer": false, "direct_distance_km": 11082.1, "via_waypoint_km": 16942.4, "detour_km": 5860.3, "detour_percent": 52.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Mariestad", " End: Makakilo City", " Waypoint: Aourir", "Step 2: Calculate direct distance", " Start → End: 11082.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16942.4 km", "Step 4: Calculate detour", " Detour = 16942.4 - 11082.1 = 5860.3 km", " Detour % = (5860.3 / 11082.1) × 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": 30.19235, "lon": 116.02496, "name": "Huangmei" }, "end": { "lat": 36.51274, "lon": 136.89352, "name": "Nanto" }, "waypoint": { "lat": 29.44631, "lon": 107.10217, "name": "Longtan" }, "question": "Is Longtan approximately on the direct path from Huangmei to Nanto?", "ground_truth": { "answer": false, "direct_distance_km": 2056.6, "via_waypoint_km": 3739.4, "detour_km": 1682.9, "detour_percent": 81.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Huangmei", " End: Nanto", " Waypoint: Longtan", "Step 2: Calculate direct distance", " Start → End: 2056.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 3739.4 km", "Step 4: Calculate detour", " Detour = 3739.4 - 2056.6 = 1682.9 km", " Detour % = (1682.9 / 2056.6) × 100 = 81.8%", "Step 5: Determine if on route (typically < 10% detour)", " 81.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 43.01839, "lon": -78.6967, "name": "East Amherst" }, "end": { "lat": 45.54647, "lon": 9.12054, "name": "Bollate" }, "waypoint": { "lat": -5.5615, "lon": 14.43159, "name": "Kimpese" }, "question": "Is Kimpese approximately on the direct path from East Amherst to Bollate?", "ground_truth": { "answer": false, "direct_distance_km": 6623.8, "via_waypoint_km": 16390.5, "detour_km": 9766.6, "detour_percent": 147.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: East Amherst", " End: Bollate", " Waypoint: Kimpese", "Step 2: Calculate direct distance", " Start → End: 6623.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16390.5 km", "Step 4: Calculate detour", " Detour = 16390.5 - 6623.8 = 9766.6 km", " Detour % = (9766.6 / 6623.8) × 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": 36.52056, "lon": 6.26111, "name": "Sidi Mérouane" }, "end": { "lat": 33.42585, "lon": -6.00137, "name": "Oulmes" }, "waypoint": { "lat": 35.635, "lon": 3.225, "name": "Birine" }, "question": "Is Birine approximately on the direct path from Sidi Mérouane to Oulmes?", "ground_truth": { "answer": true, "direct_distance_km": 1168.1, "via_waypoint_km": 1169.8, "detour_km": 1.7, "detour_percent": 0.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Sidi Mérouane", " End: Oulmes", " Waypoint: Birine", "Step 2: Calculate direct distance", " Start → End: 1168.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 1169.8 km", "Step 4: Calculate detour", " Detour = 1169.8 - 1168.1 = 1.7 km", " Detour % = (1.7 / 1168.1) × 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": 25.8, "lon": 113.03333, "name": "Chenzhou" }, "end": { "lat": 39.93678, "lon": -75.22963, "name": "Kingsessing" }, "waypoint": { "lat": -34.38333, "lon": -72.0, "name": "Pichilemu" }, "question": "Is Pichilemu approximately on the direct path from Chenzhou to Kingsessing?", "ground_truth": { "answer": false, "direct_distance_km": 12655.5, "via_waypoint_km": 27215.9, "detour_km": 14560.4, "detour_percent": 115.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Chenzhou", " End: Kingsessing", " Waypoint: Pichilemu", "Step 2: Calculate direct distance", " Start → End: 12655.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 27215.9 km", "Step 4: Calculate detour", " Detour = 27215.9 - 12655.5 = 14560.4 km", " Detour % = (14560.4 / 12655.5) × 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": 45.44979, "lon": -73.6015, "name": "Ville-Émard" }, "end": { "lat": 39.70842, "lon": 76.17971, "name": "Artux" }, "waypoint": { "lat": -2.27169, "lon": 40.90201, "name": "Lamu" }, "question": "Is Lamu approximately on the direct path from Ville-Émard to Artux?", "ground_truth": { "answer": false, "direct_distance_km": 10078.0, "via_waypoint_km": 17966.0, "detour_km": 7888.0, "detour_percent": 78.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ville-Émard", " End: Artux", " Waypoint: Lamu", "Step 2: Calculate direct distance", " Start → End: 10078.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17966.0 km", "Step 4: Calculate detour", " Detour = 17966.0 - 10078.0 = 7888.0 km", " Detour % = (7888.0 / 10078.0) × 100 = 78.3%", "Step 5: Determine if on route (typically < 10% detour)", " 78.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -26.34067, "lon": -60.43207, "name": "Tres Isletas" }, "end": { "lat": 43.65498, "lon": -79.37153, "name": "Moss Park" }, "waypoint": { "lat": 22.75121, "lon": 113.83496, "name": "Tantou" }, "question": "Is Tantou approximately on the direct path from Tres Isletas to Moss Park?", "ground_truth": { "answer": false, "direct_distance_km": 8019.6, "via_waypoint_km": 31820.2, "detour_km": 23800.6, "detour_percent": 296.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Tres Isletas", " End: Moss Park", " Waypoint: Tantou", "Step 2: Calculate direct distance", " Start → End: 8019.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 31820.2 km", "Step 4: Calculate detour", " Detour = 31820.2 - 8019.6 = 23800.6 km", " Detour % = (23800.6 / 8019.6) × 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": 28.35831, "lon": 33.07829, "name": "Ras Gharib" }, "end": { "lat": 11.27543, "lon": 25.14026, "name": "Gereida" }, "waypoint": { "lat": -28.40833, "lon": -54.96083, "name": "São Luiz Gonzaga" }, "question": "Is São Luiz Gonzaga approximately on the direct path from Ras Gharib to Gereida?", "ground_truth": { "answer": false, "direct_distance_km": 2071.4, "via_waypoint_km": 20942.3, "detour_km": 18871.0, "detour_percent": 911.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ras Gharib", " End: Gereida", " Waypoint: São Luiz Gonzaga", "Step 2: Calculate direct distance", " Start → End: 2071.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20942.3 km", "Step 4: Calculate detour", " Detour = 20942.3 - 2071.4 = 18871.0 km", " Detour % = (18871.0 / 2071.4) × 100 = 911.0%", "Step 5: Determine if on route (typically < 10% detour)", " 911.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 35.93968, "lon": 3.41588, "name": "Chellalat el Adhaouara" }, "end": { "lat": 51.29424, "lon": -0.75565, "name": "Farnborough" }, "waypoint": { "lat": 33.86726, "lon": -112.14682, "name": "Anthem" }, "question": "Is Anthem approximately on the direct path from Chellalat el Adhaouara to Farnborough?", "ground_truth": { "answer": false, "direct_distance_km": 1739.3, "via_waypoint_km": 18199.1, "detour_km": 16459.8, "detour_percent": 946.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Chellalat el Adhaouara", " End: Farnborough", " Waypoint: Anthem", "Step 2: Calculate direct distance", " Start → End: 1739.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18199.1 km", "Step 4: Calculate detour", " Detour = 18199.1 - 1739.3 = 16459.8 km", " Detour % = (16459.8 / 1739.3) × 100 = 946.3%", "Step 5: Determine if on route (typically < 10% detour)", " 946.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 44.86219, "lon": -93.53079, "name": "Chanhassen" }, "end": { "lat": -0.48193, "lon": 15.89988, "name": "Owando" }, "waypoint": { "lat": 59.01516, "lon": 54.65319, "name": "Kudymkar" }, "question": "Is Kudymkar approximately on the direct path from Chanhassen to Owando?", "ground_truth": { "answer": false, "direct_distance_km": 11562.9, "via_waypoint_km": 15527.6, "detour_km": 3964.6, "detour_percent": 34.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Chanhassen", " End: Owando", " Waypoint: Kudymkar", "Step 2: Calculate direct distance", " Start → End: 11562.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15527.6 km", "Step 4: Calculate detour", " Detour = 15527.6 - 11562.9 = 3964.6 km", " Detour % = (3964.6 / 11562.9) × 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": 55.86486, "lon": 38.44853, "name": "Noginsk" }, "end": { "lat": 31.36059, "lon": 119.82016, "name": "Yixing" }, "waypoint": { "lat": -13.03865, "lon": 14.2455, "name": "Cubal" }, "question": "Is Cubal approximately on the direct path from Noginsk to Yixing?", "ground_truth": { "answer": false, "direct_distance_km": 6652.2, "via_waypoint_km": 20209.8, "detour_km": 13557.6, "detour_percent": 203.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Noginsk", " End: Yixing", " Waypoint: Cubal", "Step 2: Calculate direct distance", " Start → End: 6652.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20209.8 km", "Step 4: Calculate detour", " Detour = 20209.8 - 6652.2 = 13557.6 km", " Detour % = (13557.6 / 6652.2) × 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": 19.11154, "lon": -97.95231, "name": "Acajete" }, "end": { "lat": -26.47306, "lon": -49.00278, "name": "Guaramirim" }, "waypoint": { "lat": -16.02511, "lon": -48.07121, "name": "Gama" }, "question": "Is Gama approximately on the direct path from Acajete to Guaramirim?", "ground_truth": { "answer": true, "direct_distance_km": 7319.5, "via_waypoint_km": 7875.5, "detour_km": 556.0, "detour_percent": 7.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Acajete", " End: Guaramirim", " Waypoint: Gama", "Step 2: Calculate direct distance", " Start → End: 7319.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 7875.5 km", "Step 4: Calculate detour", " Detour = 7875.5 - 7319.5 = 556.0 km", " Detour % = (556.0 / 7319.5) × 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": 46.04178, "lon": -73.11358, "name": "Sorel-Tracy" }, "end": { "lat": 26.6359, "lon": -80.09615, "name": "Palm Springs" }, "waypoint": { "lat": -16.97278, "lon": -48.95333, "name": "Bela Vista de Goiás" }, "question": "Is Bela Vista de Goiás approximately on the direct path from Sorel-Tracy to Palm Springs?", "ground_truth": { "answer": false, "direct_distance_km": 2244.4, "via_waypoint_km": 13317.3, "detour_km": 11072.8, "detour_percent": 493.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Sorel-Tracy", " End: Palm Springs", " Waypoint: Bela Vista de Goiás", "Step 2: Calculate direct distance", " Start → End: 2244.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13317.3 km", "Step 4: Calculate detour", " Detour = 13317.3 - 2244.4 = 11072.8 km", " Detour % = (11072.8 / 2244.4) × 100 = 493.4%", "Step 5: Determine if on route (typically < 10% detour)", " 493.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 10.62118, "lon": 1.26651, "name": "Tanguiéta" }, "end": { "lat": 7.96111, "lon": -6.67306, "name": "Séguéla" }, "waypoint": { "lat": 38.02514, "lon": 12.5484, "name": "Casa Santa" }, "question": "Is Casa Santa approximately on the direct path from Tanguiéta to Séguéla?", "ground_truth": { "answer": false, "direct_distance_km": 920.0, "via_waypoint_km": 7108.5, "detour_km": 6188.5, "detour_percent": 672.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Tanguiéta", " End: Séguéla", " Waypoint: Casa Santa", "Step 2: Calculate direct distance", " Start → End: 920.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 7108.5 km", "Step 4: Calculate detour", " Detour = 7108.5 - 920.0 = 6188.5 km", " Detour % = (6188.5 / 920.0) × 100 = 672.7%", "Step 5: Determine if on route (typically < 10% detour)", " 672.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 53.61766, "lon": -2.1552, "name": "Rochdale" }, "end": { "lat": 34.6401, "lon": 50.8764, "name": "Qom" }, "waypoint": { "lat": -22.54605, "lon": 27.12507, "name": "Palapye" }, "question": "Is Palapye approximately on the direct path from Rochdale to Qom?", "ground_truth": { "answer": false, "direct_distance_km": 4593.9, "via_waypoint_km": 15760.3, "detour_km": 11166.4, "detour_percent": 243.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Rochdale", " End: Qom", " Waypoint: Palapye", "Step 2: Calculate direct distance", " Start → End: 4593.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15760.3 km", "Step 4: Calculate detour", " Detour = 15760.3 - 4593.9 = 11166.4 km", " Detour % = (11166.4 / 4593.9) × 100 = 243.1%", "Step 5: Determine if on route (typically < 10% detour)", " 243.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 45.58773, "lon": -73.59501, "name": "Saint-Léonard" }, "end": { "lat": -16.40639, "lon": -49.21861, "name": "Nerópolis" }, "waypoint": { "lat": 33.77033, "lon": 74.09254, "name": "Pūnch" }, "question": "Is Pūnch approximately on the direct path from Saint-Léonard to Nerópolis?", "ground_truth": { "answer": false, "direct_distance_km": 7318.1, "via_waypoint_km": 24678.1, "detour_km": 17360.1, "detour_percent": 237.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Saint-Léonard", " End: Nerópolis", " Waypoint: Pūnch", "Step 2: Calculate direct distance", " Start → End: 7318.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24678.1 km", "Step 4: Calculate detour", " Detour = 24678.1 - 7318.1 = 17360.1 km", " Detour % = (17360.1 / 7318.1) × 100 = 237.2%", "Step 5: Determine if on route (typically < 10% detour)", " 237.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 43.48539, "lon": 13.48222, "name": "Osimo" }, "end": { "lat": 36.71499, "lon": 3.05002, "name": "Birkhadem" }, "waypoint": { "lat": 10.7375, "lon": 122.9666, "name": "Talisay" }, "question": "Is Talisay approximately on the direct path from Osimo to Birkhadem?", "ground_truth": { "answer": false, "direct_distance_km": 1162.0, "via_waypoint_km": 22531.9, "detour_km": 21369.9, "detour_percent": 1839.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Osimo", " End: Birkhadem", " Waypoint: Talisay", "Step 2: Calculate direct distance", " Start → End: 1162.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22531.9 km", "Step 4: Calculate detour", " Detour = 22531.9 - 1162.0 = 21369.9 km", " Detour % = (21369.9 / 1162.0) × 100 = 1839.0%", "Step 5: Determine if on route (typically < 10% detour)", " 1839.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -30.78991, "lon": -60.59276, "name": "San Justo" }, "end": { "lat": 36.59389, "lon": -6.23298, "name": "El Puerto de Santa María" }, "waypoint": { "lat": 41.14289, "lon": 22.50108, "name": "Gevgelija" }, "question": "Is Gevgelija approximately on the direct path from San Justo to El Puerto de Santa María?", "ground_truth": { "answer": false, "direct_distance_km": 9390.3, "via_waypoint_km": 14203.2, "detour_km": 4812.9, "detour_percent": 51.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: San Justo", " End: El Puerto de Santa María", " Waypoint: Gevgelija", "Step 2: Calculate direct distance", " Start → End: 9390.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14203.2 km", "Step 4: Calculate detour", " Detour = 14203.2 - 9390.3 = 4812.9 km", " Detour % = (4812.9 / 9390.3) × 100 = 51.3%", "Step 5: Determine if on route (typically < 10% detour)", " 51.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -6.55833, "lon": -35.74167, "name": "Araruna" }, "end": { "lat": 36.75452, "lon": 10.22167, "name": "Ben Arous" }, "waypoint": { "lat": 31.31129, "lon": -92.44514, "name": "Alexandria" }, "question": "Is Alexandria approximately on the direct path from Araruna to Ben Arous?", "ground_truth": { "answer": false, "direct_distance_km": 6781.9, "via_waypoint_km": 16318.0, "detour_km": 9536.1, "detour_percent": 140.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Araruna", " End: Ben Arous", " Waypoint: Alexandria", "Step 2: Calculate direct distance", " Start → End: 6781.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16318.0 km", "Step 4: Calculate detour", " Detour = 16318.0 - 6781.9 = 9536.1 km", " Detour % = (9536.1 / 6781.9) × 100 = 140.6%", "Step 5: Determine if on route (typically < 10% detour)", " 140.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 41.83871, "lon": -71.86924, "name": "Killingly Center" }, "end": { "lat": 20.21322, "lon": -100.88023, "name": "Salvatierra" }, "waypoint": { "lat": -14.96778, "lon": 40.66389, "name": "Mossuril" }, "question": "Is Mossuril approximately on the direct path from Killingly Center to Salvatierra?", "ground_truth": { "answer": false, "direct_distance_km": 3631.6, "via_waypoint_km": 28874.2, "detour_km": 25242.6, "detour_percent": 695.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Killingly Center", " End: Salvatierra", " Waypoint: Mossuril", "Step 2: Calculate direct distance", " Start → End: 3631.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 28874.2 km", "Step 4: Calculate detour", " Detour = 28874.2 - 3631.6 = 25242.6 km", " Detour % = (25242.6 / 3631.6) × 100 = 695.1%", "Step 5: Determine if on route (typically < 10% detour)", " 695.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -0.24849, "lon": 35.73194, "name": "Molo" }, "end": { "lat": -20.86361, "lon": -46.38806, "name": "Alpinópolis" }, "waypoint": { "lat": 20.14804, "lon": 40.27224, "name": "Al Līth" }, "question": "Is Al Līth approximately on the direct path from Molo to Alpinópolis?", "ground_truth": { "answer": false, "direct_distance_km": 9179.2, "via_waypoint_km": 12785.1, "detour_km": 3605.9, "detour_percent": 39.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Molo", " End: Alpinópolis", " Waypoint: Al Līth", "Step 2: Calculate direct distance", " Start → End: 9179.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12785.1 km", "Step 4: Calculate detour", " Detour = 12785.1 - 9179.2 = 3605.9 km", " Detour % = (3605.9 / 9179.2) × 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": 45.59104, "lon": -73.43605, "name": "Boucherville" }, "end": { "lat": 36.74472, "lon": 4.37222, "name": "Azazga" }, "waypoint": { "lat": 35.48171, "lon": 6.26074, "name": "Tazoult-Lambese" }, "question": "Is Tazoult-Lambese approximately on the direct path from Boucherville to Azazga?", "ground_truth": { "answer": true, "direct_distance_km": 6329.4, "via_waypoint_km": 6769.4, "detour_km": 440.0, "detour_percent": 7.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Boucherville", " End: Azazga", " Waypoint: Tazoult-Lambese", "Step 2: Calculate direct distance", " Start → End: 6329.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 6769.4 km", "Step 4: Calculate detour", " Detour = 6769.4 - 6329.4 = 440.0 km", " Detour % = (440.0 / 6329.4) × 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": 16.85438, "lon": 74.56417, "name": "Sāngli" }, "end": { "lat": -22.92389, "lon": -45.46167, "name": "Pindamonhangaba" }, "waypoint": { "lat": 50.9803, "lon": 11.32903, "name": "Weimar" }, "question": "Is Weimar approximately on the direct path from Sāngli to Pindamonhangaba?", "ground_truth": { "answer": false, "direct_distance_km": 13748.4, "via_waypoint_km": 16608.8, "detour_km": 2860.4, "detour_percent": 20.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Sāngli", " End: Pindamonhangaba", " Waypoint: Weimar", "Step 2: Calculate direct distance", " Start → End: 13748.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16608.8 km", "Step 4: Calculate detour", " Detour = 16608.8 - 13748.4 = 2860.4 km", " Detour % = (2860.4 / 13748.4) × 100 = 20.8%", "Step 5: Determine if on route (typically < 10% detour)", " 20.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -29.35622, "lon": -50.81357, "name": "Canela" }, "end": { "lat": 29.5925, "lon": 107.31337, "name": "Mawu" }, "waypoint": { "lat": 46.20574, "lon": 5.2258, "name": "Bourg-en-Bresse" }, "question": "Is Bourg-en-Bresse approximately on the direct path from Canela to Mawu?", "ground_truth": { "answer": true, "direct_distance_km": 17900.7, "via_waypoint_km": 18641.4, "detour_km": 740.7, "detour_percent": 4.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Canela", " End: Mawu", " Waypoint: Bourg-en-Bresse", "Step 2: Calculate direct distance", " Start → End: 17900.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18641.4 km", "Step 4: Calculate detour", " Detour = 18641.4 - 17900.7 = 740.7 km", " Detour % = (740.7 / 17900.7) × 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": 10.4957, "lon": 99.17971, "name": "Chumphon" }, "end": { "lat": 10.13008, "lon": -71.25946, "name": "Lagunillas" }, "waypoint": { "lat": 40.13038, "lon": -75.51491, "name": "Phoenixville" }, "question": "Is Phoenixville approximately on the direct path from Chumphon to Lagunillas?", "ground_truth": { "answer": true, "direct_distance_km": 17489.6, "via_waypoint_km": 17721.5, "detour_km": 231.8, "detour_percent": 1.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Chumphon", " End: Lagunillas", " Waypoint: Phoenixville", "Step 2: Calculate direct distance", " Start → End: 17489.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17721.5 km", "Step 4: Calculate detour", " Detour = 17721.5 - 17489.6 = 231.8 km", " Detour % = (231.8 / 17489.6) × 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": 33.50972, "lon": 126.52194, "name": "Jeju City" }, "end": { "lat": 10.24498, "lon": 123.7964, "name": "Minglanilla" }, "waypoint": { "lat": -20.07028, "lon": -44.30167, "name": "Igarapé" }, "question": "Is Igarapé approximately on the direct path from Jeju City to Minglanilla?", "ground_truth": { "answer": false, "direct_distance_km": 2601.9, "via_waypoint_km": 36602.8, "detour_km": 34000.9, "detour_percent": 1306.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Jeju City", " End: Minglanilla", " Waypoint: Igarapé", "Step 2: Calculate direct distance", " Start → End: 2601.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 36602.8 km", "Step 4: Calculate detour", " Detour = 36602.8 - 2601.9 = 34000.9 km", " Detour % = (34000.9 / 2601.9) × 100 = 1306.8%", "Step 5: Determine if on route (typically < 10% detour)", " 1306.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 25.00964, "lon": 79.04869, "name": "Jatāra" }, "end": { "lat": -1.01139, "lon": -48.96333, "name": "Cachoeira do Arari" }, "waypoint": { "lat": 45.41667, "lon": 23.36667, "name": "Petroşani" }, "question": "Is Petroşani approximately on the direct path from Jatāra to Cachoeira do Arari?", "ground_truth": { "answer": true, "direct_distance_km": 13836.5, "via_waypoint_km": 14139.0, "detour_km": 302.6, "detour_percent": 2.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Jatāra", " End: Cachoeira do Arari", " Waypoint: Petroşani", "Step 2: Calculate direct distance", " Start → End: 13836.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14139.0 km", "Step 4: Calculate detour", " Detour = 14139.0 - 13836.5 = 302.6 km", " Detour % = (302.6 / 13836.5) × 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": 51.05591, "lon": 5.38244, "name": "Helchteren" }, "end": { "lat": -24.95911, "lon": 31.17025, "name": "Hlanganani" }, "waypoint": { "lat": -24.7718, "lon": 25.42156, "name": "Mosopa" }, "question": "Is Mosopa approximately on the direct path from Helchteren to Hlanganani?", "ground_truth": { "answer": true, "direct_distance_km": 8822.6, "via_waypoint_km": 9238.0, "detour_km": 415.4, "detour_percent": 4.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Helchteren", " End: Hlanganani", " Waypoint: Mosopa", "Step 2: Calculate direct distance", " Start → End: 8822.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 9238.0 km", "Step 4: Calculate detour", " Detour = 9238.0 - 8822.6 = 415.4 km", " Detour % = (415.4 / 8822.6) × 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": 48.74565, "lon": 2.26796, "name": "Verrières-le-Buisson" }, "end": { "lat": 42.34106, "lon": -3.70184, "name": "Burgos" }, "waypoint": { "lat": 17.47378, "lon": 121.46799, "name": "Tabuk" }, "question": "Is Tabuk approximately on the direct path from Verrières-le-Buisson to Burgos?", "ground_truth": { "answer": false, "direct_distance_km": 849.9, "via_waypoint_km": 21840.4, "detour_km": 20990.5, "detour_percent": 2469.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Verrières-le-Buisson", " End: Burgos", " Waypoint: Tabuk", "Step 2: Calculate direct distance", " Start → End: 849.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21840.4 km", "Step 4: Calculate detour", " Detour = 21840.4 - 849.9 = 20990.5 km", " Detour % = (20990.5 / 849.9) × 100 = 2469.8%", "Step 5: Determine if on route (typically < 10% detour)", " 2469.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 32.02923, "lon": 34.85788, "name": "Or Yehuda" }, "end": { "lat": 28.68351, "lon": -17.76421, "name": "Santa Cruz de la Palma" }, "waypoint": { "lat": -7.93333, "lon": -39.29583, "name": "Serrita" }, "question": "Is Serrita approximately on the direct path from Or Yehuda to Santa Cruz de la Palma?", "ground_truth": { "answer": false, "direct_distance_km": 5013.2, "via_waypoint_km": 13690.1, "detour_km": 8676.9, "detour_percent": 173.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Or Yehuda", " End: Santa Cruz de la Palma", " Waypoint: Serrita", "Step 2: Calculate direct distance", " Start → End: 5013.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13690.1 km", "Step 4: Calculate detour", " Detour = 13690.1 - 5013.2 = 8676.9 km", " Detour % = (8676.9 / 5013.2) × 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": 36.46298, "lon": 2.81464, "name": "Boû Arfa" }, "end": { "lat": 11.3, "lon": 39.68333, "name": "Hāyk’" }, "waypoint": { "lat": 42.58031, "lon": -83.0302, "name": "Sterling Heights" }, "question": "Is Sterling Heights approximately on the direct path from Boû Arfa to Hāyk’?", "ground_truth": { "answer": false, "direct_distance_km": 4629.7, "via_waypoint_km": 18736.9, "detour_km": 14107.2, "detour_percent": 304.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Boû Arfa", " End: Hāyk’", " Waypoint: Sterling Heights", "Step 2: Calculate direct distance", " Start → End: 4629.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18736.9 km", "Step 4: Calculate detour", " Detour = 18736.9 - 4629.7 = 14107.2 km", " Detour % = (14107.2 / 4629.7) × 100 = 304.7%", "Step 5: Determine if on route (typically < 10% detour)", " 304.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -41.27078, "lon": 173.28404, "name": "Nelson" }, "end": { "lat": -10.29028, "lon": -36.58639, "name": "Penedo" }, "waypoint": { "lat": 2.81972, "lon": -60.67333, "name": "Boa Vista" }, "question": "Is Boa Vista approximately on the direct path from Nelson to Penedo?", "ground_truth": { "answer": false, "direct_distance_km": 13517.2, "via_waypoint_km": 16193.9, "detour_km": 2676.6, "detour_percent": 19.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Nelson", " End: Penedo", " Waypoint: Boa Vista", "Step 2: Calculate direct distance", " Start → End: 13517.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16193.9 km", "Step 4: Calculate detour", " Detour = 16193.9 - 13517.2 = 2676.6 km", " Detour % = (2676.6 / 13517.2) × 100 = 19.8%", "Step 5: Determine if on route (typically < 10% detour)", " 19.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 8.51667, "lon": -82.62393, "name": "La Concepción" }, "end": { "lat": 51.955, "lon": 5.22778, "name": "Culemborg" }, "waypoint": { "lat": 25.55707, "lon": 84.43078, "name": "Bela" }, "question": "Is Bela approximately on the direct path from La Concepción to Culemborg?", "ground_truth": { "answer": false, "direct_distance_km": 9116.0, "via_waypoint_km": 23052.9, "detour_km": 13936.8, "detour_percent": 152.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: La Concepción", " End: Culemborg", " Waypoint: Bela", "Step 2: Calculate direct distance", " Start → End: 9116.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23052.9 km", "Step 4: Calculate detour", " Detour = 23052.9 - 9116.0 = 13936.8 km", " Detour % = (13936.8 / 9116.0) × 100 = 152.9%", "Step 5: Determine if on route (typically < 10% detour)", " 152.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -9.67778, "lon": -37.12472, "name": "Batalha" }, "end": { "lat": -16.56167, "lon": -41.50333, "name": "Itaobim" }, "waypoint": { "lat": -3.9, "lon": 32.93333, "name": "Isaka" }, "question": "Is Isaka approximately on the direct path from Batalha to Itaobim?", "ground_truth": { "answer": false, "direct_distance_km": 900.2, "via_waypoint_km": 15977.0, "detour_km": 15076.8, "detour_percent": 1674.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Batalha", " End: Itaobim", " Waypoint: Isaka", "Step 2: Calculate direct distance", " Start → End: 900.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15977.0 km", "Step 4: Calculate detour", " Detour = 15977.0 - 900.2 = 15076.8 km", " Detour % = (15076.8 / 900.2) × 100 = 1674.7%", "Step 5: Determine if on route (typically < 10% detour)", " 1674.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 36.13516, "lon": 2.91085, "name": "Berrouaghia" }, "end": { "lat": 24.37338, "lon": 77.04841, "name": "Kumbhrāj" }, "waypoint": { "lat": 45.13097, "lon": 42.02703, "name": "Mikhaylovsk" }, "question": "Is Mikhaylovsk approximately on the direct path from Berrouaghia to Kumbhrāj?", "ground_truth": { "answer": true, "direct_distance_km": 7073.5, "via_waypoint_km": 7308.3, "detour_km": 234.9, "detour_percent": 3.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Berrouaghia", " End: Kumbhrāj", " Waypoint: Mikhaylovsk", "Step 2: Calculate direct distance", " Start → End: 7073.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 7308.3 km", "Step 4: Calculate detour", " Detour = 7308.3 - 7073.5 = 234.9 km", " Detour % = (234.9 / 7073.5) × 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": 26.56708, "lon": 85.5204, "name": "Dumra" }, "end": { "lat": 49.9, "lon": 2.3, "name": "Amiens" }, "waypoint": { "lat": 47.66857, "lon": 9.59132, "name": "Tettnang" }, "question": "Is Tettnang approximately on the direct path from Dumra to Amiens?", "ground_truth": { "answer": true, "direct_distance_km": 7315.3, "via_waypoint_km": 7427.8, "detour_km": 112.6, "detour_percent": 1.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Dumra", " End: Amiens", " Waypoint: Tettnang", "Step 2: Calculate direct distance", " Start → End: 7315.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 7427.8 km", "Step 4: Calculate detour", " Detour = 7427.8 - 7315.3 = 112.6 km", " Detour % = (112.6 / 7315.3) × 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": 50.79646, "lon": 19.12409, "name": "Częstochowa" }, "end": { "lat": 36.86012, "lon": 10.19337, "name": "Aryanah" }, "waypoint": { "lat": 28.68001, "lon": 106.75651, "name": "Anwen" }, "question": "Is Anwen approximately on the direct path from Częstochowa to Aryanah?", "ground_truth": { "answer": false, "direct_distance_km": 1704.3, "via_waypoint_km": 16096.8, "detour_km": 14392.5, "detour_percent": 844.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Częstochowa", " End: Aryanah", " Waypoint: Anwen", "Step 2: Calculate direct distance", " Start → End: 1704.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16096.8 km", "Step 4: Calculate detour", " Detour = 16096.8 - 1704.3 = 14392.5 km", " Detour % = (14392.5 / 1704.3) × 100 = 844.5%", "Step 5: Determine if on route (typically < 10% detour)", " 844.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -0.71667, "lon": -48.52333, "name": "Soure" }, "end": { "lat": 48.52894, "lon": 7.71523, "name": "Illkirch-Graffenstaden" }, "waypoint": { "lat": 15.03425, "lon": 120.68445, "name": "San Fernando" }, "question": "Is San Fernando approximately on the direct path from Soure to Illkirch-Graffenstaden?", "ground_truth": { "answer": false, "direct_distance_km": 7670.7, "via_waypoint_km": 28389.7, "detour_km": 20719.1, "detour_percent": 270.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Soure", " End: Illkirch-Graffenstaden", " Waypoint: San Fernando", "Step 2: Calculate direct distance", " Start → End: 7670.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 28389.7 km", "Step 4: Calculate detour", " Detour = 28389.7 - 7670.7 = 20719.1 km", " Detour % = (20719.1 / 7670.7) × 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": 40.81232, "lon": -73.07844, "name": "Holbrook" }, "end": { "lat": 10.25, "lon": 37.93333, "name": "Lumamē" }, "waypoint": { "lat": 53.06603, "lon": 19.40941, "name": "Rypin" }, "question": "Is Rypin approximately on the direct path from Holbrook to Lumamē?", "ground_truth": { "answer": true, "direct_distance_km": 10971.6, "via_waypoint_km": 11693.4, "detour_km": 721.8, "detour_percent": 6.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Holbrook", " End: Lumamē", " Waypoint: Rypin", "Step 2: Calculate direct distance", " Start → End: 10971.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 11693.4 km", "Step 4: Calculate detour", " Detour = 11693.4 - 10971.6 = 721.8 km", " Detour % = (721.8 / 10971.6) × 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": 21.05222, "lon": -77.3499, "name": "Guáimaro" }, "end": { "lat": 30.39467, "lon": -9.20897, "name": "Oulad Teïma" }, "waypoint": { "lat": -0.84582, "lon": -80.16389, "name": "Calceta" }, "question": "Is Calceta approximately on the direct path from Guáimaro to Oulad Teïma?", "ground_truth": { "answer": false, "direct_distance_km": 6807.2, "via_waypoint_km": 10693.6, "detour_km": 3886.4, "detour_percent": 57.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Guáimaro", " End: Oulad Teïma", " Waypoint: Calceta", "Step 2: Calculate direct distance", " Start → End: 6807.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 10693.6 km", "Step 4: Calculate detour", " Detour = 10693.6 - 6807.2 = 3886.4 km", " Detour % = (3886.4 / 6807.2) × 100 = 57.1%", "Step 5: Determine if on route (typically < 10% detour)", " 57.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -1.1767, "lon": 136.082, "name": "Biak" }, "end": { "lat": 7.20417, "lon": 124.43972, "name": "Budta" }, "waypoint": { "lat": 13.62793, "lon": 25.34936, "name": "El Fasher" }, "question": "Is El Fasher approximately on the direct path from Biak to Budta?", "ground_truth": { "answer": false, "direct_distance_km": 1592.7, "via_waypoint_km": 23069.3, "detour_km": 21476.6, "detour_percent": 1348.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Biak", " End: Budta", " Waypoint: El Fasher", "Step 2: Calculate direct distance", " Start → End: 1592.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23069.3 km", "Step 4: Calculate detour", " Detour = 23069.3 - 1592.7 = 21476.6 km", " Detour % = (21476.6 / 1592.7) × 100 = 1348.4%", "Step 5: Determine if on route (typically < 10% detour)", " 1348.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 49.58925, "lon": 34.55367, "name": "Poltava" }, "end": { "lat": -38.16667, "lon": 145.16667, "name": "Langwarrin" }, "waypoint": { "lat": 21.54585, "lon": -77.26504, "name": "Nuevitas" }, "question": "Is Nuevitas approximately on the direct path from Poltava to Langwarrin?", "ground_truth": { "answer": false, "direct_distance_km": 14515.2, "via_waypoint_km": 25227.3, "detour_km": 10712.1, "detour_percent": 73.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Poltava", " End: Langwarrin", " Waypoint: Nuevitas", "Step 2: Calculate direct distance", " Start → End: 14515.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 25227.3 km", "Step 4: Calculate detour", " Detour = 25227.3 - 14515.2 = 10712.1 km", " Detour % = (10712.1 / 14515.2) × 100 = 73.8%", "Step 5: Determine if on route (typically < 10% detour)", " 73.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 32.68, "lon": 109.01722, "name": "Ankang" }, "end": { "lat": 28.69844, "lon": 121.47331, "name": "Jiaojiang" }, "waypoint": { "lat": 19.24473, "lon": -103.7127, "name": "Colima" }, "question": "Is Colima approximately on the direct path from Ankang to Jiaojiang?", "ground_truth": { "answer": false, "direct_distance_km": 1269.7, "via_waypoint_km": 26080.9, "detour_km": 24811.3, "detour_percent": 1954.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ankang", " End: Jiaojiang", " Waypoint: Colima", "Step 2: Calculate direct distance", " Start → End: 1269.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 26080.9 km", "Step 4: Calculate detour", " Detour = 26080.9 - 1269.7 = 24811.3 km", " Detour % = (24811.3 / 1269.7) × 100 = 1954.2%", "Step 5: Determine if on route (typically < 10% detour)", " 1954.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 26.74134, "lon": 83.88689, "name": "Kushinagar" }, "end": { "lat": 33.53388, "lon": 5.99306, "name": "Djamaa" }, "waypoint": { "lat": -14.3525, "lon": 35.65056, "name": "Mandimba" }, "question": "Is Mandimba approximately on the direct path from Kushinagar to Djamaa?", "ground_truth": { "answer": false, "direct_distance_km": 7353.1, "via_waypoint_km": 13112.0, "detour_km": 5758.9, "detour_percent": 78.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kushinagar", " End: Djamaa", " Waypoint: Mandimba", "Step 2: Calculate direct distance", " Start → End: 7353.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13112.0 km", "Step 4: Calculate detour", " Detour = 13112.0 - 7353.1 = 5758.9 km", " Detour % = (5758.9 / 7353.1) × 100 = 78.3%", "Step 5: Determine if on route (typically < 10% detour)", " 78.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 39.04167, "lon": -94.72024, "name": "Shawnee" }, "end": { "lat": 34.74, "lon": 60.7756, "name": "Tāybād" }, "waypoint": { "lat": 38.12389, "lon": 126.20472, "name": "Pongch’ŏn-ŭp" }, "question": "Is Pongch’ŏn-ŭp approximately on the direct path from Shawnee to Tāybād?", "ground_truth": { "answer": false, "direct_distance_km": 11432.6, "via_waypoint_km": 16213.7, "detour_km": 4781.1, "detour_percent": 41.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Shawnee", " End: Tāybād", " Waypoint: Pongch’ŏn-ŭp", "Step 2: Calculate direct distance", " Start → End: 11432.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16213.7 km", "Step 4: Calculate detour", " Detour = 16213.7 - 11432.6 = 4781.1 km", " Detour % = (4781.1 / 11432.6) × 100 = 41.8%", "Step 5: Determine if on route (typically < 10% detour)", " 41.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 12.93435, "lon": -85.22354, "name": "Río Blanco" }, "end": { "lat": 5.93404, "lon": 15.59599, "name": "Bouar" }, "waypoint": { "lat": 53.68878, "lon": 9.66197, "name": "Uetersen" }, "question": "Is Uetersen approximately on the direct path from Río Blanco to Bouar?", "ground_truth": { "answer": false, "direct_distance_km": 11023.8, "via_waypoint_km": 14506.3, "detour_km": 3482.6, "detour_percent": 31.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Río Blanco", " End: Bouar", " Waypoint: Uetersen", "Step 2: Calculate direct distance", " Start → End: 11023.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14506.3 km", "Step 4: Calculate detour", " Detour = 14506.3 - 11023.8 = 3482.6 km", " Detour % = (3482.6 / 11023.8) × 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": 29.83573, "lon": 74.9717, "name": "Kālānwāli" }, "end": { "lat": 45.55301, "lon": 9.29907, "name": "Brugherio" }, "waypoint": { "lat": 42.10704, "lon": -72.62037, "name": "West Springfield" }, "question": "Is West Springfield approximately on the direct path from Kālānwāli to Brugherio?", "ground_truth": { "answer": false, "direct_distance_km": 5864.6, "via_waypoint_km": 17638.0, "detour_km": 11773.4, "detour_percent": 200.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kālānwāli", " End: Brugherio", " Waypoint: West Springfield", "Step 2: Calculate direct distance", " Start → End: 5864.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17638.0 km", "Step 4: Calculate detour", " Detour = 17638.0 - 5864.6 = 11773.4 km", " Detour % = (11773.4 / 5864.6) × 100 = 200.8%", "Step 5: Determine if on route (typically < 10% detour)", " 200.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 32.45861, "lon": 114.04861, "name": "Minggang" }, "end": { "lat": 6.61738, "lon": 2.35776, "name": "Zinvié" }, "waypoint": { "lat": 61.31226, "lon": 63.33067, "name": "Yugorsk" }, "question": "Is Yugorsk approximately on the direct path from Minggang to Zinvié?", "ground_truth": { "answer": true, "direct_distance_km": 11603.8, "via_waypoint_km": 12667.8, "detour_km": 1064.0, "detour_percent": 9.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Minggang", " End: Zinvié", " Waypoint: Yugorsk", "Step 2: Calculate direct distance", " Start → End: 11603.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12667.8 km", "Step 4: Calculate detour", " Detour = 12667.8 - 11603.8 = 1064.0 km", " Detour % = (1064.0 / 11603.8) × 100 = 9.2%", "Step 5: Determine if on route (typically < 10% detour)", " 9.2% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 42.39996, "lon": -8.80698, "name": "Sanxenxo" }, "end": { "lat": 41.60797, "lon": 2.28773, "name": "Granollers" }, "waypoint": { "lat": 41.79392, "lon": -87.7245, "name": "West Elsdon" }, "question": "Is West Elsdon approximately on the direct path from Sanxenxo to Granollers?", "ground_truth": { "answer": false, "direct_distance_km": 920.3, "via_waypoint_km": 13345.1, "detour_km": 12424.8, "detour_percent": 1350.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Sanxenxo", " End: Granollers", " Waypoint: West Elsdon", "Step 2: Calculate direct distance", " Start → End: 920.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13345.1 km", "Step 4: Calculate detour", " Detour = 13345.1 - 920.3 = 12424.8 km", " Detour % = (12424.8 / 920.3) × 100 = 1350.1%", "Step 5: Determine if on route (typically < 10% detour)", " 1350.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 41.78586, "lon": -88.14729, "name": "Naperville" }, "end": { "lat": 49.83826, "lon": 24.02324, "name": "Lviv" }, "waypoint": { "lat": 14.5612, "lon": 121.2195, "name": "Teresa" }, "question": "Is Teresa approximately on the direct path from Naperville to Lviv?", "ground_truth": { "answer": false, "direct_distance_km": 7880.0, "via_waypoint_km": 22343.1, "detour_km": 14463.1, "detour_percent": 183.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Naperville", " End: Lviv", " Waypoint: Teresa", "Step 2: Calculate direct distance", " Start → End: 7880.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22343.1 km", "Step 4: Calculate detour", " Detour = 22343.1 - 7880.0 = 14463.1 km", " Detour % = (14463.1 / 7880.0) × 100 = 183.5%", "Step 5: Determine if on route (typically < 10% detour)", " 183.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 33.97399, "lon": -5.09613, "name": "Ras el Ma" }, "end": { "lat": 30.93976, "lon": 30.81338, "name": "Basyūn" }, "waypoint": { "lat": 42.43306, "lon": 21.03972, "name": "Shtime" }, "question": "Is Shtime approximately on the direct path from Ras el Ma to Basyūn?", "ground_truth": { "answer": false, "direct_distance_km": 3369.0, "via_waypoint_km": 4001.7, "detour_km": 632.7, "detour_percent": 18.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ras el Ma", " End: Basyūn", " Waypoint: Shtime", "Step 2: Calculate direct distance", " Start → End: 3369.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 4001.7 km", "Step 4: Calculate detour", " Detour = 4001.7 - 3369.0 = 632.7 km", " Detour % = (632.7 / 3369.0) × 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": -22.98436, "lon": -43.20285, "name": "Ipanema" }, "end": { "lat": -6.92806, "lon": -39.57232, "name": "Farias Brito" }, "waypoint": { "lat": 45.18497, "lon": 15.80579, "name": "Velika Kladuša" }, "question": "Is Velika Kladuša approximately on the direct path from Ipanema to Farias Brito?", "ground_truth": { "answer": false, "direct_distance_km": 1827.2, "via_waypoint_km": 17629.9, "detour_km": 15802.7, "detour_percent": 864.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ipanema", " End: Farias Brito", " Waypoint: Velika Kladuša", "Step 2: Calculate direct distance", " Start → End: 1827.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17629.9 km", "Step 4: Calculate detour", " Detour = 17629.9 - 1827.2 = 15802.7 km", " Detour % = (15802.7 / 1827.2) × 100 = 864.9%", "Step 5: Determine if on route (typically < 10% detour)", " 864.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -31.34582, "lon": -64.33849, "name": "La Calera" }, "end": { "lat": -27.62563, "lon": 152.96883, "name": "Forest Lake" }, "waypoint": { "lat": 19.63981, "lon": 109.15861, "name": "Paipu" }, "question": "Is Paipu approximately on the direct path from La Calera to Forest Lake?", "ground_truth": { "answer": false, "direct_distance_km": 12358.2, "via_waypoint_km": 25619.8, "detour_km": 13261.7, "detour_percent": 107.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: La Calera", " End: Forest Lake", " Waypoint: Paipu", "Step 2: Calculate direct distance", " Start → End: 12358.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 25619.8 km", "Step 4: Calculate detour", " Detour = 25619.8 - 12358.2 = 13261.7 km", " Detour % = (13261.7 / 12358.2) × 100 = 107.3%", "Step 5: Determine if on route (typically < 10% detour)", " 107.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 26.9423, "lon": 68.11759, "name": "Tharu Shah" }, "end": { "lat": -26.30497, "lon": 30.77365, "name": "Empuluzu" }, "waypoint": { "lat": 41.23506, "lon": 1.81193, "name": "Sitges" }, "question": "Is Sitges approximately on the direct path from Tharu Shah to Empuluzu?", "ground_truth": { "answer": false, "direct_distance_km": 7143.6, "via_waypoint_km": 14240.0, "detour_km": 7096.5, "detour_percent": 99.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Tharu Shah", " End: Empuluzu", " Waypoint: Sitges", "Step 2: Calculate direct distance", " Start → End: 7143.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14240.0 km", "Step 4: Calculate detour", " Detour = 14240.0 - 7143.6 = 7096.5 km", " Detour % = (7096.5 / 7143.6) × 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": 6.64738, "lon": -75.46031, "name": "Santa Rosa de Osos" }, "end": { "lat": 40.87589, "lon": -81.40234, "name": "North Canton" }, "waypoint": { "lat": 47.47324, "lon": 19.26178, "name": "Rákoskeresztúr" }, "question": "Is Rákoskeresztúr approximately on the direct path from Santa Rosa de Osos to North Canton?", "ground_truth": { "answer": false, "direct_distance_km": 3851.5, "via_waypoint_km": 17287.1, "detour_km": 13435.6, "detour_percent": 348.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Santa Rosa de Osos", " End: North Canton", " Waypoint: Rákoskeresztúr", "Step 2: Calculate direct distance", " Start → End: 3851.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17287.1 km", "Step 4: Calculate detour", " Detour = 17287.1 - 3851.5 = 13435.6 km", " Detour % = (13435.6 / 3851.5) × 100 = 348.8%", "Step 5: Determine if on route (typically < 10% detour)", " 348.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 21.6, "lon": 104.51667, "name": "Nghĩa Lộ" }, "end": { "lat": 9.24391, "lon": -75.14675, "name": "San Luis de Sincé" }, "waypoint": { "lat": 40.30428, "lon": -73.99236, "name": "Long Branch" }, "question": "Is Long Branch approximately on the direct path from Nghĩa Lộ to San Luis de Sincé?", "ground_truth": { "answer": true, "direct_distance_km": 16585.2, "via_waypoint_km": 16585.6, "detour_km": 0.3, "detour_percent": 0.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Nghĩa Lộ", " End: San Luis de Sincé", " Waypoint: Long Branch", "Step 2: Calculate direct distance", " Start → End: 16585.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16585.6 km", "Step 4: Calculate detour", " Detour = 16585.6 - 16585.2 = 0.3 km", " Detour % = (0.3 / 16585.2) × 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": 52.52985, "lon": 13.68914, "name": "Neuenhagen" }, "end": { "lat": 5.16281, "lon": -52.64265, "name": "Kourou" }, "waypoint": { "lat": -22.995, "lon": -47.50778, "name": "Capivari" }, "question": "Is Capivari approximately on the direct path from Neuenhagen to Kourou?", "ground_truth": { "answer": false, "direct_distance_km": 7968.3, "via_waypoint_km": 13444.3, "detour_km": 5476.0, "detour_percent": 68.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Neuenhagen", " End: Kourou", " Waypoint: Capivari", "Step 2: Calculate direct distance", " Start → End: 7968.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13444.3 km", "Step 4: Calculate detour", " Detour = 13444.3 - 7968.3 = 5476.0 km", " Detour % = (5476.0 / 7968.3) × 100 = 68.7%", "Step 5: Determine if on route (typically < 10% detour)", " 68.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 19.65347, "lon": 73.14811, "name": "Vāda" }, "end": { "lat": -21.13056, "lon": -42.36639, "name": "Muriaé" }, "waypoint": { "lat": -24.11335, "lon": -49.46315, "name": "Sengés" }, "question": "Is Sengés approximately on the direct path from Vāda to Muriaé?", "ground_truth": { "answer": false, "direct_distance_km": 13340.6, "via_waypoint_km": 14912.7, "detour_km": 1572.1, "detour_percent": 11.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Vāda", " End: Muriaé", " Waypoint: Sengés", "Step 2: Calculate direct distance", " Start → End: 13340.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14912.7 km", "Step 4: Calculate detour", " Detour = 14912.7 - 13340.6 = 1572.1 km", " Detour % = (1572.1 / 13340.6) × 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": 26.58333, "lon": 106.71667, "name": "Guiyang" }, "end": { "lat": 9.97691, "lon": -84.8379, "name": "Puntarenas" }, "waypoint": { "lat": 53.54899, "lon": -2.52464, "name": "Westhoughton" }, "question": "Is Westhoughton approximately on the direct path from Guiyang to Puntarenas?", "ground_truth": { "answer": false, "direct_distance_km": 15762.5, "via_waypoint_km": 17432.9, "detour_km": 1670.3, "detour_percent": 10.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Guiyang", " End: Puntarenas", " Waypoint: Westhoughton", "Step 2: Calculate direct distance", " Start → End: 15762.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17432.9 km", "Step 4: Calculate detour", " Detour = 17432.9 - 15762.5 = 1670.3 km", " Detour % = (1670.3 / 15762.5) × 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": 41.5361, "lon": -8.78201, "name": "Esposende" }, "end": { "lat": 14.30739, "lon": -90.36156, "name": "Barberena" }, "waypoint": { "lat": 2.75446, "lon": -76.62791, "name": "Morales" }, "question": "Is Morales approximately on the direct path from Esposende to Barberena?", "ground_truth": { "answer": false, "direct_distance_km": 8265.2, "via_waypoint_km": 9954.4, "detour_km": 1689.2, "detour_percent": 20.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Esposende", " End: Barberena", " Waypoint: Morales", "Step 2: Calculate direct distance", " Start → End: 8265.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 9954.4 km", "Step 4: Calculate detour", " Detour = 9954.4 - 8265.2 = 1689.2 km", " Detour % = (1689.2 / 8265.2) × 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": 0.35462, "lon": 37.58218, "name": "Isiolo" }, "end": { "lat": 11.7891, "lon": 34.3592, "name": "Ad-Damazin" }, "waypoint": { "lat": -33.9125, "lon": 151.10279, "name": "Campsie" }, "question": "Is Campsie approximately on the direct path from Isiolo to Ad-Damazin?", "ground_truth": { "answer": false, "direct_distance_km": 1320.3, "via_waypoint_km": 25375.5, "detour_km": 24055.2, "detour_percent": 1822.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Isiolo", " End: Ad-Damazin", " Waypoint: Campsie", "Step 2: Calculate direct distance", " Start → End: 1320.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 25375.5 km", "Step 4: Calculate detour", " Detour = 25375.5 - 1320.3 = 24055.2 km", " Detour % = (24055.2 / 1320.3) × 100 = 1822.0%", "Step 5: Determine if on route (typically < 10% detour)", " 1822.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -37.73261, "lon": 144.86504, "name": "Keilor East" }, "end": { "lat": -23.69748, "lon": 133.88362, "name": "Alice Springs" }, "waypoint": { "lat": 39.74083, "lon": 118.45069, "name": "Guye" }, "question": "Is Guye approximately on the direct path from Keilor East to Alice Springs?", "ground_truth": { "answer": false, "direct_distance_km": 1877.6, "via_waypoint_km": 16260.0, "detour_km": 14382.4, "detour_percent": 766.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Keilor East", " End: Alice Springs", " Waypoint: Guye", "Step 2: Calculate direct distance", " Start → End: 1877.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16260.0 km", "Step 4: Calculate detour", " Detour = 16260.0 - 1877.6 = 14382.4 km", " Detour % = (14382.4 / 1877.6) × 100 = 766.0%", "Step 5: Determine if on route (typically < 10% detour)", " 766.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 52.58514, "lon": -2.05934, "name": "Willenhall" }, "end": { "lat": 55.79916, "lon": -4.39285, "name": "Barrhead" }, "waypoint": { "lat": 24.96667, "lon": 105.81667, "name": "Zhelou" }, "question": "Is Zhelou approximately on the direct path from Willenhall to Barrhead?", "ground_truth": { "answer": false, "direct_distance_km": 388.2, "via_waypoint_km": 17843.3, "detour_km": 17455.0, "detour_percent": 4496.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Willenhall", " End: Barrhead", " Waypoint: Zhelou", "Step 2: Calculate direct distance", " Start → End: 388.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17843.3 km", "Step 4: Calculate detour", " Detour = 17843.3 - 388.2 = 17455.0 km", " Detour % = (17455.0 / 388.2) × 100 = 4496.0%", "Step 5: Determine if on route (typically < 10% detour)", " 4496.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 29.26597, "lon": 105.77802, "name": "Laisu" }, "end": { "lat": 25.87577, "lon": 87.84009, "name": "Dalkola" }, "waypoint": { "lat": 48.85, "lon": 2.5, "name": "Le Perreux-sur-Marne" }, "question": "Is Le Perreux-sur-Marne approximately on the direct path from Laisu to Dalkola?", "ground_truth": { "answer": false, "direct_distance_km": 1805.9, "via_waypoint_km": 16034.6, "detour_km": 14228.8, "detour_percent": 787.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Laisu", " End: Dalkola", " Waypoint: Le Perreux-sur-Marne", "Step 2: Calculate direct distance", " Start → End: 1805.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16034.6 km", "Step 4: Calculate detour", " Detour = 16034.6 - 1805.9 = 14228.8 km", " Detour % = (14228.8 / 1805.9) × 100 = 787.9%", "Step 5: Determine if on route (typically < 10% detour)", " 787.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -23.10407, "lon": 26.81421, "name": "Mahalapye" }, "end": { "lat": -22.12556, "lon": -51.38889, "name": "Presidente Prudente" }, "waypoint": { "lat": -23.46278, "lon": -46.53333, "name": "Guarulhos" }, "question": "Is Guarulhos approximately on the direct path from Mahalapye to Presidente Prudente?", "ground_truth": { "answer": true, "direct_distance_km": 7918.9, "via_waypoint_km": 7918.9, "detour_km": 0.0, "detour_percent": 0.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Mahalapye", " End: Presidente Prudente", " Waypoint: Guarulhos", "Step 2: Calculate direct distance", " Start → End: 7918.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 7918.9 km", "Step 4: Calculate detour", " Detour = 7918.9 - 7918.9 = 0.0 km", " Detour % = (0.0 / 7918.9) × 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": 56.26792, "lon": 90.50145, "name": "Achinsk" }, "end": { "lat": 1.66711, "lon": 101.44316, "name": "Dumai" }, "waypoint": { "lat": 31.68041, "lon": 6.07286, "name": "Hassi Messaoud" }, "question": "Is Hassi Messaoud approximately on the direct path from Achinsk to Dumai?", "ground_truth": { "answer": false, "direct_distance_km": 6149.9, "via_waypoint_km": 17216.4, "detour_km": 11066.5, "detour_percent": 179.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Achinsk", " End: Dumai", " Waypoint: Hassi Messaoud", "Step 2: Calculate direct distance", " Start → End: 6149.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17216.4 km", "Step 4: Calculate detour", " Detour = 17216.4 - 6149.9 = 11066.5 km", " Detour % = (11066.5 / 6149.9) × 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": 33.59754, "lon": -112.27182, "name": "Sun City" }, "end": { "lat": 27.16757, "lon": 100.92005, "name": "Xinyingpan" }, "waypoint": { "lat": 23.02181, "lon": 75.23268, "name": "Badnāwar" }, "question": "Is Badnāwar approximately on the direct path from Sun City to Xinyingpan?", "ground_truth": { "answer": false, "direct_distance_km": 12405.0, "via_waypoint_km": 16292.0, "detour_km": 3887.0, "detour_percent": 31.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Sun City", " End: Xinyingpan", " Waypoint: Badnāwar", "Step 2: Calculate direct distance", " Start → End: 12405.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16292.0 km", "Step 4: Calculate detour", " Detour = 16292.0 - 12405.0 = 3887.0 km", " Detour % = (3887.0 / 12405.0) × 100 = 31.3%", "Step 5: Determine if on route (typically < 10% detour)", " 31.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -33.73378, "lon": 18.97523, "name": "Paarl" }, "end": { "lat": 47.72947, "lon": 12.87819, "name": "Bad Reichenhall" }, "waypoint": { "lat": 22.73333, "lon": 87.51667, "name": "Chandrakona" }, "question": "Is Chandrakona approximately on the direct path from Paarl to Bad Reichenhall?", "ground_truth": { "answer": false, "direct_distance_km": 9078.7, "via_waypoint_km": 16618.4, "detour_km": 7539.7, "detour_percent": 83.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Paarl", " End: Bad Reichenhall", " Waypoint: Chandrakona", "Step 2: Calculate direct distance", " Start → End: 9078.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16618.4 km", "Step 4: Calculate detour", " Detour = 16618.4 - 9078.7 = 7539.7 km", " Detour % = (7539.7 / 9078.7) × 100 = 83.0%", "Step 5: Determine if on route (typically < 10% detour)", " 83.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 20.24673, "lon": -74.15181, "name": "Maisí" }, "end": { "lat": -14.97928, "lon": 34.95575, "name": "Balaka" }, "waypoint": { "lat": -10.40696, "lon": -76.46168, "name": "Chaupimarca" }, "question": "Is Chaupimarca approximately on the direct path from Maisí to Balaka?", "ground_truth": { "answer": false, "direct_distance_km": 12533.2, "via_waypoint_km": 15368.4, "detour_km": 2835.2, "detour_percent": 22.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Maisí", " End: Balaka", " Waypoint: Chaupimarca", "Step 2: Calculate direct distance", " Start → End: 12533.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15368.4 km", "Step 4: Calculate detour", " Detour = 15368.4 - 12533.2 = 2835.2 km", " Detour % = (2835.2 / 12533.2) × 100 = 22.6%", "Step 5: Determine if on route (typically < 10% detour)", " 22.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 16.06666, "lon": 22.83536, "name": "Amdjarass" }, "end": { "lat": 42.39176, "lon": -71.03283, "name": "Chelsea" }, "waypoint": { "lat": 39.95484, "lon": 44.54874, "name": "Artashat" }, "question": "Is Artashat approximately on the direct path from Amdjarass to Chelsea?", "ground_truth": { "answer": false, "direct_distance_km": 9121.0, "via_waypoint_km": 12185.2, "detour_km": 3064.3, "detour_percent": 33.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Amdjarass", " End: Chelsea", " Waypoint: Artashat", "Step 2: Calculate direct distance", " Start → End: 9121.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12185.2 km", "Step 4: Calculate detour", " Detour = 12185.2 - 9121.0 = 3064.3 km", " Detour % = (3064.3 / 9121.0) × 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": -38.07018, "lon": 145.47411, "name": "Pakenham" }, "end": { "lat": -33.65249, "lon": 115.3455, "name": "Busselton" }, "waypoint": { "lat": -6.5397, "lon": 111.0518, "name": "Tayu" }, "question": "Is Tayu approximately on the direct path from Pakenham to Busselton?", "ground_truth": { "answer": false, "direct_distance_km": 2746.7, "via_waypoint_km": 7975.6, "detour_km": 5228.9, "detour_percent": 190.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Pakenham", " End: Busselton", " Waypoint: Tayu", "Step 2: Calculate direct distance", " Start → End: 2746.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 7975.6 km", "Step 4: Calculate detour", " Detour = 7975.6 - 2746.7 = 5228.9 km", " Detour % = (5228.9 / 2746.7) × 100 = 190.4%", "Step 5: Determine if on route (typically < 10% detour)", " 190.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 21.06667, "lon": 106.31667, "name": "Chí Linh" }, "end": { "lat": 34.63333, "lon": 116.8, "name": "Qishan" }, "waypoint": { "lat": 41.71427, "lon": -72.65259, "name": "Wethersfield" }, "question": "Is Wethersfield approximately on the direct path from Chí Linh to Qishan?", "ground_truth": { "answer": false, "direct_distance_km": 1824.3, "via_waypoint_km": 24504.4, "detour_km": 22680.0, "detour_percent": 1243.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Chí Linh", " End: Qishan", " Waypoint: Wethersfield", "Step 2: Calculate direct distance", " Start → End: 1824.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24504.4 km", "Step 4: Calculate detour", " Detour = 24504.4 - 1824.3 = 22680.0 km", " Detour % = (22680.0 / 1824.3) × 100 = 1243.2%", "Step 5: Determine if on route (typically < 10% detour)", " 1243.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 5.95056, "lon": 43.55186, "name": "Gode" }, "end": { "lat": 35.72806, "lon": 126.73194, "name": "Puan" }, "waypoint": { "lat": 30.20194, "lon": 53.18, "name": "Pāsārgād" }, "question": "Is Pāsārgād approximately on the direct path from Gode to Puan?", "ground_truth": { "answer": true, "direct_distance_km": 9006.9, "via_waypoint_km": 9606.1, "detour_km": 599.2, "detour_percent": 6.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Gode", " End: Puan", " Waypoint: Pāsārgād", "Step 2: Calculate direct distance", " Start → End: 9006.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 9606.1 km", "Step 4: Calculate detour", " Detour = 9606.1 - 9006.9 = 599.2 km", " Detour % = (599.2 / 9006.9) × 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": 47.76037, "lon": 39.93335, "name": "Novoshakhtinsk" }, "end": { "lat": 50.71184, "lon": 5.6468, "name": "Oupeye" }, "waypoint": { "lat": -22.81639, "lon": -45.1925, "name": "Guaratinguetá" }, "question": "Is Guaratinguetá approximately on the direct path from Novoshakhtinsk to Oupeye?", "ground_truth": { "answer": false, "direct_distance_km": 2488.1, "via_waypoint_km": 21086.2, "detour_km": 18598.1, "detour_percent": 747.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Novoshakhtinsk", " End: Oupeye", " Waypoint: Guaratinguetá", "Step 2: Calculate direct distance", " Start → End: 2488.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21086.2 km", "Step 4: Calculate detour", " Detour = 21086.2 - 2488.1 = 18598.1 km", " Detour % = (18598.1 / 2488.1) × 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": 9.6, "lon": 37.83333, "name": "Kachīsī" }, "end": { "lat": 41.005, "lon": 39.72694, "name": "Trabzon" }, "waypoint": { "lat": 29.91943, "lon": 107.34041, "name": "Yunji" }, "question": "Is Yunji approximately on the direct path from Kachīsī to Trabzon?", "ground_truth": { "answer": false, "direct_distance_km": 3497.0, "via_waypoint_km": 13601.8, "detour_km": 10104.8, "detour_percent": 289.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kachīsī", " End: Trabzon", " Waypoint: Yunji", "Step 2: Calculate direct distance", " Start → End: 3497.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13601.8 km", "Step 4: Calculate detour", " Detour = 13601.8 - 3497.0 = 10104.8 km", " Detour % = (10104.8 / 3497.0) × 100 = 289.0%", "Step 5: Determine if on route (typically < 10% detour)", " 289.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 48.93563, "lon": 8.96045, "name": "Vaihingen an der Enz" }, "end": { "lat": -23.50167, "lon": -47.45806, "name": "Sorocaba" }, "waypoint": { "lat": 21.00292, "lon": 75.56602, "name": "Jalgaon" }, "question": "Is Jalgaon approximately on the direct path from Vaihingen an der Enz to Sorocaba?", "ground_truth": { "answer": false, "direct_distance_km": 9800.2, "via_waypoint_km": 20753.5, "detour_km": 10953.3, "detour_percent": 111.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Vaihingen an der Enz", " End: Sorocaba", " Waypoint: Jalgaon", "Step 2: Calculate direct distance", " Start → End: 9800.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20753.5 km", "Step 4: Calculate detour", " Detour = 20753.5 - 9800.2 = 10953.3 km", " Detour % = (10953.3 / 9800.2) × 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": 51.2, "lon": 6.21667, "name": "Niederkrüchten" }, "end": { "lat": -8.0764, "lon": 111.70641, "name": "Trenggalek" }, "waypoint": { "lat": -37.90561, "lon": 145.00279, "name": "Brighton" }, "question": "Is Brighton approximately on the direct path from Niederkrüchten to Trenggalek?", "ground_truth": { "answer": false, "direct_distance_km": 11783.6, "via_waypoint_km": 21196.0, "detour_km": 9412.4, "detour_percent": 79.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Niederkrüchten", " End: Trenggalek", " Waypoint: Brighton", "Step 2: Calculate direct distance", " Start → End: 11783.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21196.0 km", "Step 4: Calculate detour", " Detour = 21196.0 - 11783.6 = 9412.4 km", " Detour % = (9412.4 / 11783.6) × 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": 41.52286, "lon": 20.52198, "name": "Debar" }, "end": { "lat": -3.68192, "lon": 13.34985, "name": "Sibiti" }, "waypoint": { "lat": 25.86222, "lon": 85.77953, "name": "Samāstipur" }, "question": "Is Samāstipur approximately on the direct path from Debar to Sibiti?", "ground_truth": { "answer": false, "direct_distance_km": 5078.8, "via_waypoint_km": 14577.9, "detour_km": 9499.1, "detour_percent": 187.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Debar", " End: Sibiti", " Waypoint: Samāstipur", "Step 2: Calculate direct distance", " Start → End: 5078.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14577.9 km", "Step 4: Calculate detour", " Detour = 14577.9 - 5078.8 = 9499.1 km", " Detour % = (9499.1 / 5078.8) × 100 = 187.0%", "Step 5: Determine if on route (typically < 10% detour)", " 187.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 29.02133, "lon": 106.82012, "name": "Yongcheng" }, "end": { "lat": 19.55793, "lon": -99.25675, "name": "Ciudad López Mateos" }, "waypoint": { "lat": -6.48361, "lon": -36.15361, "name": "Cuité" }, "question": "Is Cuité approximately on the direct path from Yongcheng to Ciudad López Mateos?", "ground_truth": { "answer": false, "direct_distance_km": 13931.5, "via_waypoint_km": 22879.9, "detour_km": 8948.4, "detour_percent": 64.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Yongcheng", " End: Ciudad López Mateos", " Waypoint: Cuité", "Step 2: Calculate direct distance", " Start → End: 13931.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22879.9 km", "Step 4: Calculate detour", " Detour = 22879.9 - 13931.5 = 8948.4 km", " Detour % = (8948.4 / 13931.5) × 100 = 64.2%", "Step 5: Determine if on route (typically < 10% detour)", " 64.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 0.78775, "lon": 34.71562, "name": "Kimilili" }, "end": { "lat": -43.11819, "lon": -73.61661, "name": "Quellón" }, "waypoint": { "lat": 20.0065, "lon": 95.54531, "name": "Taungdwingyi" }, "question": "Is Taungdwingyi approximately on the direct path from Kimilili to Quellón?", "ground_truth": { "answer": false, "direct_distance_km": 11544.8, "via_waypoint_km": 24196.5, "detour_km": 12651.7, "detour_percent": 109.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kimilili", " End: Quellón", " Waypoint: Taungdwingyi", "Step 2: Calculate direct distance", " Start → End: 11544.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24196.5 km", "Step 4: Calculate detour", " Detour = 24196.5 - 11544.8 = 12651.7 km", " Detour % = (12651.7 / 11544.8) × 100 = 109.6%", "Step 5: Determine if on route (typically < 10% detour)", " 109.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 12.75975, "lon": 75.20169, "name": "Puttūr" }, "end": { "lat": 23.79891, "lon": 120.46337, "name": "Xiluo" }, "waypoint": { "lat": 34.84969, "lon": -1.72753, "name": "Maghnia" }, "question": "Is Maghnia approximately on the direct path from Puttūr to Xiluo?", "ground_truth": { "answer": false, "direct_distance_km": 4911.8, "via_waypoint_km": 19110.3, "detour_km": 14198.5, "detour_percent": 289.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Puttūr", " End: Xiluo", " Waypoint: Maghnia", "Step 2: Calculate direct distance", " Start → End: 4911.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19110.3 km", "Step 4: Calculate detour", " Detour = 19110.3 - 4911.8 = 14198.5 km", " Detour % = (14198.5 / 4911.8) × 100 = 289.1%", "Step 5: Determine if on route (typically < 10% detour)", " 289.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 48.2333, "lon": 16.46002, "name": "Donaustadt" }, "end": { "lat": -25.11364, "lon": -64.12628, "name": "Joaquín V. González" }, "waypoint": { "lat": 12.15, "lon": 27.35, "name": "Ghubaysh" }, "question": "Is Ghubaysh approximately on the direct path from Donaustadt to Joaquín V. González?", "ground_truth": { "answer": false, "direct_distance_km": 11407.1, "via_waypoint_km": 14860.9, "detour_km": 3453.8, "detour_percent": 30.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Donaustadt", " End: Joaquín V. González", " Waypoint: Ghubaysh", "Step 2: Calculate direct distance", " Start → End: 11407.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14860.9 km", "Step 4: Calculate detour", " Detour = 14860.9 - 11407.1 = 3453.8 km", " Detour % = (3453.8 / 11407.1) × 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": 38.38408, "lon": 106.272, "name": "Wangyuan" }, "end": { "lat": 30.83658, "lon": -83.97878, "name": "Thomasville" }, "waypoint": { "lat": -30.54723, "lon": 29.42412, "name": "Kokstad" }, "question": "Is Kokstad approximately on the direct path from Wangyuan to Thomasville?", "ground_truth": { "answer": false, "direct_distance_km": 12245.1, "via_waypoint_km": 24794.2, "detour_km": 12549.2, "detour_percent": 102.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Wangyuan", " End: Thomasville", " Waypoint: Kokstad", "Step 2: Calculate direct distance", " Start → End: 12245.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24794.2 km", "Step 4: Calculate detour", " Detour = 24794.2 - 12245.1 = 12549.2 km", " Detour % = (12549.2 / 12245.1) × 100 = 102.5%", "Step 5: Determine if on route (typically < 10% detour)", " 102.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 5.55728, "lon": -0.1864, "name": "Osu" }, "end": { "lat": 49.5099, "lon": 6.74549, "name": "Losheim" }, "waypoint": { "lat": 59.90349, "lon": 30.51058, "name": "Kudrovo" }, "question": "Is Kudrovo approximately on the direct path from Osu to Losheim?", "ground_truth": { "answer": false, "direct_distance_km": 4930.5, "via_waypoint_km": 8473.3, "detour_km": 3542.8, "detour_percent": 71.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Osu", " End: Losheim", " Waypoint: Kudrovo", "Step 2: Calculate direct distance", " Start → End: 4930.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 8473.3 km", "Step 4: Calculate detour", " Detour = 8473.3 - 4930.5 = 3542.8 km", " Detour % = (3542.8 / 4930.5) × 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": 34.28671, "lon": 74.47228, "name": "Sopur" }, "end": { "lat": 29.7488, "lon": 105.75843, "name": "Baoding" }, "waypoint": { "lat": 51.95485, "lon": 20.15837, "name": "Skierniewice" }, "question": "Is Skierniewice approximately on the direct path from Sopur to Baoding?", "ground_truth": { "answer": false, "direct_distance_km": 2980.5, "via_waypoint_km": 11856.5, "detour_km": 8876.0, "detour_percent": 297.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Sopur", " End: Baoding", " Waypoint: Skierniewice", "Step 2: Calculate direct distance", " Start → End: 2980.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 11856.5 km", "Step 4: Calculate detour", " Detour = 11856.5 - 2980.5 = 8876.0 km", " Detour % = (8876.0 / 2980.5) × 100 = 297.8%", "Step 5: Determine if on route (typically < 10% detour)", " 297.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -9.4075, "lon": -36.07361, "name": "Capela" }, "end": { "lat": -7.99194, "lon": -38.29833, "name": "Serra Talhada" }, "waypoint": { "lat": 32.9312, "lon": 12.08199, "name": "Zuwarah" }, "question": "Is Zuwarah approximately on the direct path from Capela to Serra Talhada?", "ground_truth": { "answer": false, "direct_distance_km": 290.8, "via_waypoint_km": 13938.9, "detour_km": 13648.1, "detour_percent": 4693.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Capela", " End: Serra Talhada", " Waypoint: Zuwarah", "Step 2: Calculate direct distance", " Start → End: 290.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13938.9 km", "Step 4: Calculate detour", " Detour = 13938.9 - 290.8 = 13648.1 km", " Detour % = (13648.1 / 290.8) × 100 = 4693.2%", "Step 5: Determine if on route (typically < 10% detour)", " 4693.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -18.94948, "lon": 48.23007, "name": "Moramanga" }, "end": { "lat": 9.60776, "lon": 8.39043, "name": "Kagoro" }, "waypoint": { "lat": -15.67572, "lon": -58.09021, "name": "Mirassol d'Oeste" }, "question": "Is Mirassol d'Oeste approximately on the direct path from Moramanga to Kagoro?", "ground_truth": { "answer": false, "direct_distance_km": 5399.6, "via_waypoint_km": 18923.7, "detour_km": 13524.1, "detour_percent": 250.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Moramanga", " End: Kagoro", " Waypoint: Mirassol d'Oeste", "Step 2: Calculate direct distance", " Start → End: 5399.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18923.7 km", "Step 4: Calculate detour", " Detour = 18923.7 - 5399.6 = 13524.1 km", " Detour % = (13524.1 / 5399.6) × 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": 52.66625, "lon": 8.2375, "name": "Lohne" }, "end": { "lat": 35.70307, "lon": 139.70436, "name": "Ōkubo" }, "waypoint": { "lat": 0.21548, "lon": 32.53453, "name": "Kajansi" }, "question": "Is Kajansi approximately on the direct path from Lohne to Ōkubo?", "ground_truth": { "answer": false, "direct_distance_km": 9126.1, "via_waypoint_km": 17788.9, "detour_km": 8662.8, "detour_percent": 94.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Lohne", " End: Ōkubo", " Waypoint: Kajansi", "Step 2: Calculate direct distance", " Start → End: 9126.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17788.9 km", "Step 4: Calculate detour", " Detour = 17788.9 - 9126.1 = 8662.8 km", " Detour % = (8662.8 / 9126.1) × 100 = 94.9%", "Step 5: Determine if on route (typically < 10% detour)", " 94.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 37.5655, "lon": 14.27433, "name": "Enna" }, "end": { "lat": 19.28786, "lon": -99.65324, "name": "Toluca" }, "waypoint": { "lat": 16.96376, "lon": -99.09616, "name": "Ayutla de los Libres" }, "question": "Is Ayutla de los Libres approximately on the direct path from Enna to Toluca?", "ground_truth": { "answer": true, "direct_distance_km": 10658.9, "via_waypoint_km": 11057.4, "detour_km": 398.4, "detour_percent": 3.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Enna", " End: Toluca", " Waypoint: Ayutla de los Libres", "Step 2: Calculate direct distance", " Start → End: 10658.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 11057.4 km", "Step 4: Calculate detour", " Detour = 11057.4 - 10658.9 = 398.4 km", " Detour % = (398.4 / 10658.9) × 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": -37.83382, "lon": 144.93834, "name": "City of Port Phillip" }, "end": { "lat": 48.62861, "lon": 18.38455, "name": "Partizánske" }, "waypoint": { "lat": 5.00886, "lon": -74.47226, "name": "Villeta" }, "question": "Is Villeta approximately on the direct path from City of Port Phillip to Partizánske?", "ground_truth": { "answer": false, "direct_distance_km": 15618.6, "via_waypoint_km": 24411.2, "detour_km": 8792.6, "detour_percent": 56.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: City of Port Phillip", " End: Partizánske", " Waypoint: Villeta", "Step 2: Calculate direct distance", " Start → End: 15618.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24411.2 km", "Step 4: Calculate detour", " Detour = 24411.2 - 15618.6 = 8792.6 km", " Detour % = (8792.6 / 15618.6) × 100 = 56.3%", "Step 5: Determine if on route (typically < 10% detour)", " 56.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 9.03333, "lon": 38.15, "name": "Gīnch’ī" }, "end": { "lat": 36.11561, "lon": -97.05837, "name": "Stillwater" }, "waypoint": { "lat": 26.88604, "lon": 74.76602, "name": "Parvatsar" }, "question": "Is Parvatsar approximately on the direct path from Gīnch’ī to Stillwater?", "ground_truth": { "answer": false, "direct_distance_km": 13151.1, "via_waypoint_km": 17285.2, "detour_km": 4134.1, "detour_percent": 31.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Gīnch’ī", " End: Stillwater", " Waypoint: Parvatsar", "Step 2: Calculate direct distance", " Start → End: 13151.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17285.2 km", "Step 4: Calculate detour", " Detour = 17285.2 - 13151.1 = 4134.1 km", " Detour % = (4134.1 / 13151.1) × 100 = 31.4%", "Step 5: Determine if on route (typically < 10% detour)", " 31.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 27.68667, "lon": 106.90722, "name": "Zunyi" }, "end": { "lat": 53.82146, "lon": 83.57063, "name": "Tal’menka" }, "waypoint": { "lat": 44.9256, "lon": 4.90956, "name": "Valence" }, "question": "Is Valence approximately on the direct path from Zunyi to Tal’menka?", "ground_truth": { "answer": false, "direct_distance_km": 3473.8, "via_waypoint_km": 14220.1, "detour_km": 10746.4, "detour_percent": 309.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Zunyi", " End: Tal’menka", " Waypoint: Valence", "Step 2: Calculate direct distance", " Start → End: 3473.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14220.1 km", "Step 4: Calculate detour", " Detour = 14220.1 - 3473.8 = 10746.4 km", " Detour % = (10746.4 / 3473.8) × 100 = 309.4%", "Step 5: Determine if on route (typically < 10% detour)", " 309.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -24.65451, "lon": 25.90859, "name": "Gaborone" }, "end": { "lat": 6.06846, "lon": -8.13559, "name": "Zwedru" }, "waypoint": { "lat": -14.26944, "lon": -71.22611, "name": "Sicuani" }, "question": "Is Sicuani approximately on the direct path from Gaborone to Zwedru?", "ground_truth": { "answer": false, "direct_distance_km": 5025.0, "via_waypoint_km": 17364.8, "detour_km": 12339.9, "detour_percent": 245.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Gaborone", " End: Zwedru", " Waypoint: Sicuani", "Step 2: Calculate direct distance", " Start → End: 5025.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17364.8 km", "Step 4: Calculate detour", " Detour = 17364.8 - 5025.0 = 12339.9 km", " Detour % = (12339.9 / 5025.0) × 100 = 245.6%", "Step 5: Determine if on route (typically < 10% detour)", " 245.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 5.09053, "lon": -6.34438, "name": "Lobakuya" }, "end": { "lat": 32.74506, "lon": 13.71467, "name": "Qaşr al Qarabūllī" }, "waypoint": { "lat": -37.95855, "lon": 176.98545, "name": "Whakatane" }, "question": "Is Whakatane approximately on the direct path from Lobakuya to Qaşr al Qarabūllī?", "ground_truth": { "answer": false, "direct_distance_km": 3712.8, "via_waypoint_km": 34738.6, "detour_km": 31025.8, "detour_percent": 835.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Lobakuya", " End: Qaşr al Qarabūllī", " Waypoint: Whakatane", "Step 2: Calculate direct distance", " Start → End: 3712.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 34738.6 km", "Step 4: Calculate detour", " Detour = 34738.6 - 3712.8 = 31025.8 km", " Detour % = (31025.8 / 3712.8) × 100 = 835.6%", "Step 5: Determine if on route (typically < 10% detour)", " 835.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -37.83333, "lon": 145.05, "name": "Glenferrie" }, "end": { "lat": -33.52314, "lon": 151.31325, "name": "Umina Beach" }, "waypoint": { "lat": 53.40861, "lon": -2.95283, "name": "Kensington" }, "question": "Is Kensington approximately on the direct path from Glenferrie to Umina Beach?", "ground_truth": { "answer": false, "direct_distance_km": 741.1, "via_waypoint_km": 34037.2, "detour_km": 33296.1, "detour_percent": 4492.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Glenferrie", " End: Umina Beach", " Waypoint: Kensington", "Step 2: Calculate direct distance", " Start → End: 741.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 34037.2 km", "Step 4: Calculate detour", " Detour = 34037.2 - 741.1 = 33296.1 km", " Detour % = (33296.1 / 741.1) × 100 = 4492.7%", "Step 5: Determine if on route (typically < 10% detour)", " 4492.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 21.71134, "lon": 71.96179, "name": "Sihor" }, "end": { "lat": -10.97833, "lon": -39.62639, "name": "Queimadas" }, "waypoint": { "lat": 42.24481, "lon": -83.06095, "name": "LaSalle" }, "question": "Is LaSalle approximately on the direct path from Sihor to Queimadas?", "ground_truth": { "answer": false, "direct_distance_km": 12671.3, "via_waypoint_km": 19842.6, "detour_km": 7171.4, "detour_percent": 56.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Sihor", " End: Queimadas", " Waypoint: LaSalle", "Step 2: Calculate direct distance", " Start → End: 12671.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19842.6 km", "Step 4: Calculate detour", " Detour = 19842.6 - 12671.3 = 7171.4 km", " Detour % = (7171.4 / 12671.3) × 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": 3.2549, "lon": 101.6668, "name": "Selayang Baru Utara" }, "end": { "lat": 52.49376, "lon": 13.44469, "name": "Treptow" }, "waypoint": { "lat": 48.94754, "lon": 8.83675, "name": "Mühlacker" }, "question": "Is Mühlacker approximately on the direct path from Selayang Baru Utara to Treptow?", "ground_truth": { "answer": true, "direct_distance_km": 9600.2, "via_waypoint_km": 10451.4, "detour_km": 851.2, "detour_percent": 8.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Selayang Baru Utara", " End: Treptow", " Waypoint: Mühlacker", "Step 2: Calculate direct distance", " Start → End: 9600.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 10451.4 km", "Step 4: Calculate detour", " Detour = 10451.4 - 9600.2 = 851.2 km", " Detour % = (851.2 / 9600.2) × 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": 8.88649, "lon": 2.59753, "name": "Tchaourou" }, "end": { "lat": 30.57881, "lon": -97.85307, "name": "Leander" }, "waypoint": { "lat": 38.47005, "lon": -90.30456, "name": "Oakville" }, "question": "Is Oakville approximately on the direct path from Tchaourou to Leander?", "ground_truth": { "answer": true, "direct_distance_km": 10490.3, "via_waypoint_km": 10760.9, "detour_km": 270.6, "detour_percent": 2.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Tchaourou", " End: Leander", " Waypoint: Oakville", "Step 2: Calculate direct distance", " Start → End: 10490.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 10760.9 km", "Step 4: Calculate detour", " Detour = 10760.9 - 10490.3 = 270.6 km", " Detour % = (270.6 / 10490.3) × 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": 39.4015, "lon": -76.60191, "name": "Towson" }, "end": { "lat": 33.5806, "lon": -112.23738, "name": "Peoria" }, "waypoint": { "lat": 2.61112, "lon": 32.47559, "name": "Opit" }, "question": "Is Opit approximately on the direct path from Towson to Peoria?", "ground_truth": { "answer": false, "direct_distance_km": 3228.9, "via_waypoint_km": 25993.1, "detour_km": 22764.2, "detour_percent": 705.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Towson", " End: Peoria", " Waypoint: Opit", "Step 2: Calculate direct distance", " Start → End: 3228.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 25993.1 km", "Step 4: Calculate detour", " Detour = 25993.1 - 3228.9 = 22764.2 km", " Detour % = (22764.2 / 3228.9) × 100 = 705.0%", "Step 5: Determine if on route (typically < 10% detour)", " 705.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 38.90883, "lon": 1.43296, "name": "Ibiza" }, "end": { "lat": 2.38333, "lon": 11.28333, "name": "Ambam" }, "waypoint": { "lat": 35.19321, "lon": -6.15572, "name": "Larache" }, "question": "Is Larache approximately on the direct path from Ibiza to Ambam?", "ground_truth": { "answer": false, "direct_distance_km": 4182.6, "via_waypoint_km": 4858.1, "detour_km": 675.5, "detour_percent": 16.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ibiza", " End: Ambam", " Waypoint: Larache", "Step 2: Calculate direct distance", " Start → End: 4182.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 4858.1 km", "Step 4: Calculate detour", " Detour = 4858.1 - 4182.6 = 675.5 km", " Detour % = (675.5 / 4182.6) × 100 = 16.1%", "Step 5: Determine if on route (typically < 10% detour)", " 16.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 41.32355, "lon": 19.45469, "name": "Durrës" }, "end": { "lat": 21.33999, "lon": -158.03039, "name": "‘Ewa Gentry" }, "waypoint": { "lat": 36.38333, "lon": 139.73333, "name": "Tochigi" }, "question": "Is Tochigi approximately on the direct path from Durrës to ‘Ewa Gentry?", "ground_truth": { "answer": false, "direct_distance_km": 13042.4, "via_waypoint_km": 15634.4, "detour_km": 2592.1, "detour_percent": 19.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Durrës", " End: ‘Ewa Gentry", " Waypoint: Tochigi", "Step 2: Calculate direct distance", " Start → End: 13042.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15634.4 km", "Step 4: Calculate detour", " Detour = 15634.4 - 13042.4 = 2592.1 km", " Detour % = (2592.1 / 13042.4) × 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": 37.0, "lon": 118.78333, "name": "Tianliu" }, "end": { "lat": 39.10638, "lon": 27.66925, "name": "Kırkağaç" }, "waypoint": { "lat": 14.52541, "lon": 102.24591, "name": "Khon Buri" }, "question": "Is Khon Buri approximately on the direct path from Tianliu to Kırkağaç?", "ground_truth": { "answer": false, "direct_distance_km": 7609.7, "via_waypoint_km": 10662.5, "detour_km": 3052.8, "detour_percent": 40.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Tianliu", " End: Kırkağaç", " Waypoint: Khon Buri", "Step 2: Calculate direct distance", " Start → End: 7609.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 10662.5 km", "Step 4: Calculate detour", " Detour = 10662.5 - 7609.7 = 3052.8 km", " Detour % = (3052.8 / 7609.7) × 100 = 40.1%", "Step 5: Determine if on route (typically < 10% detour)", " 40.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 19.5773, "lon": 41.96357, "name": "Sabt Alalayah" }, "end": { "lat": 7.83793, "lon": -72.5037, "name": "Los Patios" }, "waypoint": { "lat": 57.65893, "lon": 12.11792, "name": "Mölnlycke" }, "question": "Is Mölnlycke approximately on the direct path from Sabt Alalayah to Los Patios?", "ground_truth": { "answer": false, "direct_distance_km": 12223.8, "via_waypoint_km": 13836.1, "detour_km": 1612.3, "detour_percent": 13.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Sabt Alalayah", " End: Los Patios", " Waypoint: Mölnlycke", "Step 2: Calculate direct distance", " Start → End: 12223.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13836.1 km", "Step 4: Calculate detour", " Detour = 13836.1 - 12223.8 = 1612.3 km", " Detour % = (1612.3 / 12223.8) × 100 = 13.2%", "Step 5: Determine if on route (typically < 10% detour)", " 13.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -32.05799, "lon": 115.91814, "name": "Canning Vale" }, "end": { "lat": -30.03283, "lon": -51.23019, "name": "Porto Alegre" }, "waypoint": { "lat": 12.24922, "lon": -0.61527, "name": "Zorgo" }, "question": "Is Zorgo approximately on the direct path from Canning Vale to Porto Alegre?", "ground_truth": { "answer": false, "direct_distance_km": 12979.1, "via_waypoint_km": 20387.2, "detour_km": 7408.1, "detour_percent": 57.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Canning Vale", " End: Porto Alegre", " Waypoint: Zorgo", "Step 2: Calculate direct distance", " Start → End: 12979.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20387.2 km", "Step 4: Calculate detour", " Detour = 20387.2 - 12979.1 = 7408.1 km", " Detour % = (7408.1 / 12979.1) × 100 = 57.1%", "Step 5: Determine if on route (typically < 10% detour)", " 57.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -14.98293, "lon": 27.0619, "name": "Mumbwa" }, "end": { "lat": 0.18333, "lon": 27.48333, "name": "Babamba" }, "waypoint": { "lat": 32.30173, "lon": 130.50376, "name": "Sashiki" }, "question": "Is Sashiki approximately on the direct path from Mumbwa to Babamba?", "ground_truth": { "answer": false, "direct_distance_km": 1687.0, "via_waypoint_km": 23353.5, "detour_km": 21666.5, "detour_percent": 1284.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Mumbwa", " End: Babamba", " Waypoint: Sashiki", "Step 2: Calculate direct distance", " Start → End: 1687.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23353.5 km", "Step 4: Calculate detour", " Detour = 23353.5 - 1687.0 = 21666.5 km", " Detour % = (21666.5 / 1687.0) × 100 = 1284.3%", "Step 5: Determine if on route (typically < 10% detour)", " 1284.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -24.75722, "lon": -51.76139, "name": "Pitanga" }, "end": { "lat": 17.68589, "lon": 73.99333, "name": "Satara" }, "waypoint": { "lat": 31.33824, "lon": -94.7291, "name": "Lufkin" }, "question": "Is Lufkin approximately on the direct path from Pitanga to Satara?", "ground_truth": { "answer": false, "direct_distance_km": 14372.4, "via_waypoint_km": 22163.6, "detour_km": 7791.3, "detour_percent": 54.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Pitanga", " End: Satara", " Waypoint: Lufkin", "Step 2: Calculate direct distance", " Start → End: 14372.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22163.6 km", "Step 4: Calculate detour", " Detour = 22163.6 - 14372.4 = 7791.3 km", " Detour % = (7791.3 / 14372.4) × 100 = 54.2%", "Step 5: Determine if on route (typically < 10% detour)", " 54.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 50.80019, "lon": 7.20769, "name": "Siegburg" }, "end": { "lat": 37.98333, "lon": 23.68333, "name": "Aigáleo" }, "waypoint": { "lat": 34.8262, "lon": 126.10863, "name": "Sinan" }, "question": "Is Sinan approximately on the direct path from Siegburg to Aigáleo?", "ground_truth": { "answer": false, "direct_distance_km": 1926.5, "via_waypoint_km": 17422.8, "detour_km": 15496.3, "detour_percent": 804.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Siegburg", " End: Aigáleo", " Waypoint: Sinan", "Step 2: Calculate direct distance", " Start → End: 1926.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17422.8 km", "Step 4: Calculate detour", " Detour = 17422.8 - 1926.5 = 15496.3 km", " Detour % = (15496.3 / 1926.5) × 100 = 804.4%", "Step 5: Determine if on route (typically < 10% detour)", " 804.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -37.58333, "lon": 145.03333, "name": "Wollert" }, "end": { "lat": -10.81778, "lon": -55.45083, "name": "Colíder" }, "waypoint": { "lat": 43.67372, "lon": -79.29539, "name": "The Beaches" }, "question": "Is The Beaches approximately on the direct path from Wollert to Colíder?", "ground_truth": { "answer": false, "direct_distance_km": 14225.1, "via_waypoint_km": 22781.3, "detour_km": 8556.2, "detour_percent": 60.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Wollert", " End: Colíder", " Waypoint: The Beaches", "Step 2: Calculate direct distance", " Start → End: 14225.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22781.3 km", "Step 4: Calculate detour", " Detour = 22781.3 - 14225.1 = 8556.2 km", " Detour % = (8556.2 / 14225.1) × 100 = 60.1%", "Step 5: Determine if on route (typically < 10% detour)", " 60.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 12.38556, "lon": 77.06045, "name": "Malavalli" }, "end": { "lat": 41.40585, "lon": 2.13243, "name": "La Bonanova" }, "waypoint": { "lat": -29.08056, "lon": -53.83583, "name": "Tupanciretã" }, "question": "Is Tupanciretã approximately on the direct path from Malavalli to La Bonanova?", "ground_truth": { "answer": false, "direct_distance_km": 7849.0, "via_waypoint_km": 24344.4, "detour_km": 16495.4, "detour_percent": 210.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Malavalli", " End: La Bonanova", " Waypoint: Tupanciretã", "Step 2: Calculate direct distance", " Start → End: 7849.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24344.4 km", "Step 4: Calculate detour", " Detour = 24344.4 - 7849.0 = 16495.4 km", " Detour % = (16495.4 / 7849.0) × 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": -26.1466, "lon": 28.68322, "name": "Delmas" }, "end": { "lat": 54.87343, "lon": 69.15065, "name": "Petropavl" }, "waypoint": { "lat": -37.63333, "lon": 144.86667, "name": "Greenvale" }, "question": "Is Greenvale approximately on the direct path from Delmas to Petropavl?", "ground_truth": { "answer": false, "direct_distance_km": 9800.3, "via_waypoint_km": 22830.9, "detour_km": 13030.6, "detour_percent": 133.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Delmas", " End: Petropavl", " Waypoint: Greenvale", "Step 2: Calculate direct distance", " Start → End: 9800.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22830.9 km", "Step 4: Calculate detour", " Detour = 22830.9 - 9800.3 = 13030.6 km", " Detour % = (13030.6 / 9800.3) × 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": 7.75, "lon": 39.15, "name": "Sagurē" }, "end": { "lat": 0.64444, "lon": 34.26056, "name": "Malaba" }, "waypoint": { "lat": -31.9652, "lon": 141.4512, "name": "Broken Hill" }, "question": "Is Broken Hill approximately on the direct path from Sagurē to Malaba?", "ground_truth": { "answer": false, "direct_distance_km": 958.1, "via_waypoint_km": 23281.9, "detour_km": 22323.8, "detour_percent": 2330.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Sagurē", " End: Malaba", " Waypoint: Broken Hill", "Step 2: Calculate direct distance", " Start → End: 958.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23281.9 km", "Step 4: Calculate detour", " Detour = 23281.9 - 958.1 = 22323.8 km", " Detour % = (22323.8 / 958.1) × 100 = 2330.1%", "Step 5: Determine if on route (typically < 10% detour)", " 2330.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 11.9662, "lon": 79.20259, "name": "Tirukkoyilur" }, "end": { "lat": -1.27987, "lon": -80.41776, "name": "Sucre" }, "waypoint": { "lat": 40.73002, "lon": -73.8234, "name": "Kew Gardens Hills" }, "question": "Is Kew Gardens Hills approximately on the direct path from Tirukkoyilur to Sucre?", "ground_truth": { "answer": true, "direct_distance_km": 17472.9, "via_waypoint_km": 18250.6, "detour_km": 777.8, "detour_percent": 4.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Tirukkoyilur", " End: Sucre", " Waypoint: Kew Gardens Hills", "Step 2: Calculate direct distance", " Start → End: 17472.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18250.6 km", "Step 4: Calculate detour", " Detour = 18250.6 - 17472.9 = 777.8 km", " Detour % = (777.8 / 17472.9) × 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": 22.33636, "lon": 114.20581, "name": "Choi Hung Estate" }, "end": { "lat": 41.62112, "lon": 12.46197, "name": "Torvaianica" }, "waypoint": { "lat": 5.32556, "lon": -4.37685, "name": "Dabou" }, "question": "Is Dabou approximately on the direct path from Choi Hung Estate to Torvaianica?", "ground_truth": { "answer": false, "direct_distance_km": 9294.5, "via_waypoint_km": 17034.3, "detour_km": 7739.8, "detour_percent": 83.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Choi Hung Estate", " End: Torvaianica", " Waypoint: Dabou", "Step 2: Calculate direct distance", " Start → End: 9294.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17034.3 km", "Step 4: Calculate detour", " Detour = 17034.3 - 9294.5 = 7739.8 km", " Detour % = (7739.8 / 9294.5) × 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": 36.66667, "lon": 136.85, "name": "Oyabe" }, "end": { "lat": 5.647, "lon": 100.48772, "name": "Sungai Petani" }, "waypoint": { "lat": 44.15695, "lon": 133.27331, "name": "Arsen’yev" }, "question": "Is Arsen’yev approximately on the direct path from Oyabe to Sungai Petani?", "ground_truth": { "answer": false, "direct_distance_km": 5053.5, "via_waypoint_km": 6226.4, "detour_km": 1172.9, "detour_percent": 23.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Oyabe", " End: Sungai Petani", " Waypoint: Arsen’yev", "Step 2: Calculate direct distance", " Start → End: 5053.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 6226.4 km", "Step 4: Calculate detour", " Detour = 6226.4 - 5053.5 = 1172.9 km", " Detour % = (1172.9 / 5053.5) × 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": 41.66394, "lon": -83.55521, "name": "Toledo" }, "end": { "lat": 43.02295, "lon": 25.10364, "name": "Sevlievo" }, "waypoint": { "lat": 37.34461, "lon": -6.06391, "name": "Mairena del Aljarafe" }, "question": "Is Mairena del Aljarafe approximately on the direct path from Toledo to Sevlievo?", "ground_truth": { "answer": false, "direct_distance_km": 8207.3, "via_waypoint_km": 9139.7, "detour_km": 932.5, "detour_percent": 11.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Toledo", " End: Sevlievo", " Waypoint: Mairena del Aljarafe", "Step 2: Calculate direct distance", " Start → End: 8207.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 9139.7 km", "Step 4: Calculate detour", " Detour = 9139.7 - 8207.3 = 932.5 km", " Detour % = (932.5 / 8207.3) × 100 = 11.4%", "Step 5: Determine if on route (typically < 10% detour)", " 11.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -10.42172, "lon": 105.67912, "name": "Flying Fish Cove" }, "end": { "lat": 14.896, "lon": 120.7092, "name": "Masantol" }, "waypoint": { "lat": 5.47775, "lon": 10.41759, "name": "Bafoussam" }, "question": "Is Bafoussam approximately on the direct path from Flying Fish Cove to Masantol?", "ground_truth": { "answer": false, "direct_distance_km": 3266.3, "via_waypoint_km": 22700.3, "detour_km": 19434.0, "detour_percent": 595.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Flying Fish Cove", " End: Masantol", " Waypoint: Bafoussam", "Step 2: Calculate direct distance", " Start → End: 3266.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22700.3 km", "Step 4: Calculate detour", " Detour = 22700.3 - 3266.3 = 19434.0 km", " Detour % = (19434.0 / 3266.3) × 100 = 595.0%", "Step 5: Determine if on route (typically < 10% detour)", " 595.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -2.90222, "lon": -40.84111, "name": "Camocim" }, "end": { "lat": -36.9482, "lon": 174.87019, "name": "Otara" }, "waypoint": { "lat": 13.26667, "lon": -16.76056, "name": "Sanyang" }, "question": "Is Sanyang approximately on the direct path from Camocim to Otara?", "ground_truth": { "answer": false, "direct_distance_km": 14249.0, "via_waypoint_km": 20347.4, "detour_km": 6098.5, "detour_percent": 42.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Camocim", " End: Otara", " Waypoint: Sanyang", "Step 2: Calculate direct distance", " Start → End: 14249.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20347.4 km", "Step 4: Calculate detour", " Detour = 20347.4 - 14249.0 = 6098.5 km", " Detour % = (6098.5 / 14249.0) × 100 = 42.8%", "Step 5: Determine if on route (typically < 10% detour)", " 42.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 34.87009, "lon": 135.7027, "name": "Yawata" }, "end": { "lat": 25.07725, "lon": 55.30927, "name": "Dubai" }, "waypoint": { "lat": 17.25799, "lon": 78.89776, "name": "Chautāpal" }, "question": "Is Chautāpal approximately on the direct path from Yawata to Dubai?", "ground_truth": { "answer": false, "direct_distance_km": 7618.0, "via_waypoint_km": 8510.2, "detour_km": 892.2, "detour_percent": 11.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Yawata", " End: Dubai", " Waypoint: Chautāpal", "Step 2: Calculate direct distance", " Start → End: 7618.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 8510.2 km", "Step 4: Calculate detour", " Detour = 8510.2 - 7618.0 = 892.2 km", " Detour % = (892.2 / 7618.0) × 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": 35.57944, "lon": 118.83278, "name": "Chengyang" }, "end": { "lat": 26.3248, "lon": 94.51834, "name": "Mokokchūng" }, "waypoint": { "lat": -12.78691, "lon": -74.97298, "name": "Huancavelica" }, "question": "Is Huancavelica approximately on the direct path from Chengyang to Mokokchūng?", "ground_truth": { "answer": false, "direct_distance_km": 2527.7, "via_waypoint_km": 35279.2, "detour_km": 32751.6, "detour_percent": 1295.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Chengyang", " End: Mokokchūng", " Waypoint: Huancavelica", "Step 2: Calculate direct distance", " Start → End: 2527.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 35279.2 km", "Step 4: Calculate detour", " Detour = 35279.2 - 2527.7 = 32751.6 km", " Detour % = (32751.6 / 2527.7) × 100 = 1295.7%", "Step 5: Determine if on route (typically < 10% detour)", " 1295.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 41.64114, "lon": -88.44729, "name": "Yorkville" }, "end": { "lat": 53.03333, "lon": 8.75, "name": "Stuhr" }, "waypoint": { "lat": -0.88333, "lon": 29.65, "name": "Ntungamo" }, "question": "Is Ntungamo approximately on the direct path from Yorkville to Stuhr?", "ground_truth": { "answer": false, "direct_distance_km": 6857.1, "via_waypoint_km": 18670.5, "detour_km": 11813.4, "detour_percent": 172.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Yorkville", " End: Stuhr", " Waypoint: Ntungamo", "Step 2: Calculate direct distance", " Start → End: 6857.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18670.5 km", "Step 4: Calculate detour", " Detour = 18670.5 - 6857.1 = 11813.4 km", " Detour % = (11813.4 / 6857.1) × 100 = 172.3%", "Step 5: Determine if on route (typically < 10% detour)", " 172.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 49.7164, "lon": 28.83858, "name": "Koziatyn" }, "end": { "lat": -37.76667, "lon": 144.96667, "name": "Brunswick" }, "waypoint": { "lat": 26.73033, "lon": 67.7769, "name": "Dadu" }, "question": "Is Dadu approximately on the direct path from Koziatyn to Brunswick?", "ground_truth": { "answer": true, "direct_distance_km": 14879.2, "via_waypoint_km": 14947.9, "detour_km": 68.7, "detour_percent": 0.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Koziatyn", " End: Brunswick", " Waypoint: Dadu", "Step 2: Calculate direct distance", " Start → End: 14879.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14947.9 km", "Step 4: Calculate detour", " Detour = 14947.9 - 14879.2 = 68.7 km", " Detour % = (68.7 / 14879.2) × 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": 36.48866, "lon": 36.19489, "name": "Belen" }, "end": { "lat": 40.74255, "lon": -84.10523, "name": "Lima" }, "waypoint": { "lat": 51.65501, "lon": 17.80686, "name": "Ostrów Wielkopolski" }, "question": "Is Ostrów Wielkopolski approximately on the direct path from Belen to Lima?", "ground_truth": { "answer": true, "direct_distance_km": 9492.3, "via_waypoint_km": 9505.8, "detour_km": 13.6, "detour_percent": 0.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Belen", " End: Lima", " Waypoint: Ostrów Wielkopolski", "Step 2: Calculate direct distance", " Start → End: 9492.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 9505.8 km", "Step 4: Calculate detour", " Detour = 9505.8 - 9492.3 = 13.6 km", " Detour % = (13.6 / 9492.3) × 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": -6.92806, "lon": -39.57232, "name": "Farias Brito" }, "end": { "lat": 51.32002, "lon": -0.14088, "name": "Coulsdon" }, "waypoint": { "lat": 52.18435, "lon": 20.83952, "name": "Piastów" }, "question": "Is Piastów approximately on the direct path from Farias Brito to Coulsdon?", "ground_truth": { "answer": false, "direct_distance_km": 7489.5, "via_waypoint_km": 10133.0, "detour_km": 2643.5, "detour_percent": 35.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Farias Brito", " End: Coulsdon", " Waypoint: Piastów", "Step 2: Calculate direct distance", " Start → End: 7489.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 10133.0 km", "Step 4: Calculate detour", " Detour = 10133.0 - 7489.5 = 2643.5 km", " Detour % = (2643.5 / 7489.5) × 100 = 35.3%", "Step 5: Determine if on route (typically < 10% detour)", " 35.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 51.82083, "lon": 4.77639, "name": "Sliedrecht" }, "end": { "lat": 40.35481, "lon": 18.17244, "name": "Lecce" }, "waypoint": { "lat": -38.93392, "lon": -67.99032, "name": "Cipolletti" }, "question": "Is Cipolletti approximately on the direct path from Sliedrecht to Lecce?", "ground_truth": { "answer": false, "direct_distance_km": 1635.6, "via_waypoint_km": 24699.5, "detour_km": 23063.9, "detour_percent": 1410.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Sliedrecht", " End: Lecce", " Waypoint: Cipolletti", "Step 2: Calculate direct distance", " Start → End: 1635.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24699.5 km", "Step 4: Calculate detour", " Detour = 24699.5 - 1635.6 = 23063.9 km", " Detour % = (23063.9 / 1635.6) × 100 = 1410.1%", "Step 5: Determine if on route (typically < 10% detour)", " 1410.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -18.00014, "lon": -63.38712, "name": "El Torno" }, "end": { "lat": -37.66667, "lon": 145.01667, "name": "Lalor" }, "waypoint": { "lat": 31.31901, "lon": 48.6842, "name": "Ahvaz" }, "question": "Is Ahvaz approximately on the direct path from El Torno to Lalor?", "ground_truth": { "answer": false, "direct_distance_km": 13149.2, "via_waypoint_km": 25670.8, "detour_km": 12521.6, "detour_percent": 95.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: El Torno", " End: Lalor", " Waypoint: Ahvaz", "Step 2: Calculate direct distance", " Start → End: 13149.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 25670.8 km", "Step 4: Calculate detour", " Detour = 25670.8 - 13149.2 = 12521.6 km", " Detour % = (12521.6 / 13149.2) × 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": 51.16096, "lon": 4.67008, "name": "Nijlen" }, "end": { "lat": 6.68848, "lon": -1.62443, "name": "Kumasi" }, "waypoint": { "lat": 7.83793, "lon": -72.5037, "name": "Los Patios" }, "question": "Is Los Patios approximately on the direct path from Nijlen to Kumasi?", "ground_truth": { "answer": false, "direct_distance_km": 4979.2, "via_waypoint_km": 16245.9, "detour_km": 11266.8, "detour_percent": 226.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Nijlen", " End: Kumasi", " Waypoint: Los Patios", "Step 2: Calculate direct distance", " Start → End: 4979.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16245.9 km", "Step 4: Calculate detour", " Detour = 16245.9 - 4979.2 = 11266.8 km", " Detour % = (11266.8 / 4979.2) × 100 = 226.3%", "Step 5: Determine if on route (typically < 10% detour)", " 226.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 29.09285, "lon": 31.02043, "name": "Ihnāsīyah" }, "end": { "lat": 7.30082, "lon": 18.2833, "name": "Batangafo" }, "waypoint": { "lat": -7.71694, "lon": 109.91278, "name": "Kutoarjo" }, "question": "Is Kutoarjo approximately on the direct path from Ihnāsīyah to Batangafo?", "ground_truth": { "answer": false, "direct_distance_km": 2766.3, "via_waypoint_km": 19654.0, "detour_km": 16887.7, "detour_percent": 610.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ihnāsīyah", " End: Batangafo", " Waypoint: Kutoarjo", "Step 2: Calculate direct distance", " Start → End: 2766.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19654.0 km", "Step 4: Calculate detour", " Detour = 19654.0 - 2766.3 = 16887.7 km", " Detour % = (16887.7 / 2766.3) × 100 = 610.5%", "Step 5: Determine if on route (typically < 10% detour)", " 610.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 44.64969, "lon": -93.24272, "name": "Lakeville" }, "end": { "lat": 19.1409, "lon": -72.01194, "name": "Hinche" }, "waypoint": { "lat": 10.53333, "lon": 122.83333, "name": "Bago City" }, "question": "Is Bago City approximately on the direct path from Lakeville to Hinche?", "ground_truth": { "answer": false, "direct_distance_km": 3450.3, "via_waypoint_km": 29223.8, "detour_km": 25773.5, "detour_percent": 747.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Lakeville", " End: Hinche", " Waypoint: Bago City", "Step 2: Calculate direct distance", " Start → End: 3450.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 29223.8 km", "Step 4: Calculate detour", " Detour = 29223.8 - 3450.3 = 25773.5 km", " Detour % = (25773.5 / 3450.3) × 100 = 747.0%", "Step 5: Determine if on route (typically < 10% detour)", " 747.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 41.63333, "lon": 2.16667, "name": "Caldes de Montbui" }, "end": { "lat": 47.12849, "lon": 8.74735, "name": "Einsiedeln" }, "waypoint": { "lat": 27.04361, "lon": 74.72445, "name": "Makrāna" }, "question": "Is Makrāna approximately on the direct path from Caldes de Montbui to Einsiedeln?", "ground_truth": { "answer": false, "direct_distance_km": 803.7, "via_waypoint_km": 12726.3, "detour_km": 11922.6, "detour_percent": 1483.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Caldes de Montbui", " End: Einsiedeln", " Waypoint: Makrāna", "Step 2: Calculate direct distance", " Start → End: 803.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12726.3 km", "Step 4: Calculate detour", " Detour = 12726.3 - 803.7 = 11922.6 km", " Detour % = (11922.6 / 803.7) × 100 = 1483.5%", "Step 5: Determine if on route (typically < 10% detour)", " 1483.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -38.38176, "lon": 142.48799, "name": "Warrnambool" }, "end": { "lat": 49.12494, "lon": 18.32597, "name": "Púchov" }, "waypoint": { "lat": 53.83244, "lon": 9.96042, "name": "Kaltenkirchen" }, "question": "Is Kaltenkirchen approximately on the direct path from Warrnambool to Púchov?", "ground_truth": { "answer": true, "direct_distance_km": 15483.7, "via_waypoint_km": 16845.7, "detour_km": 1362.0, "detour_percent": 8.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Warrnambool", " End: Púchov", " Waypoint: Kaltenkirchen", "Step 2: Calculate direct distance", " Start → End: 15483.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16845.7 km", "Step 4: Calculate detour", " Detour = 16845.7 - 15483.7 = 1362.0 km", " Detour % = (1362.0 / 15483.7) × 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": 48.84258, "lon": 2.40014, "name": "Picpus" }, "end": { "lat": 42.795, "lon": -8.548, "name": "Teo" }, "waypoint": { "lat": -21.71417, "lon": -52.42222, "name": "Bataguassu" }, "question": "Is Bataguassu approximately on the direct path from Picpus to Teo?", "ground_truth": { "answer": false, "direct_distance_km": 1080.8, "via_waypoint_km": 18000.5, "detour_km": 16919.8, "detour_percent": 1565.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Picpus", " End: Teo", " Waypoint: Bataguassu", "Step 2: Calculate direct distance", " Start → End: 1080.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18000.5 km", "Step 4: Calculate detour", " Detour = 18000.5 - 1080.8 = 16919.8 km", " Detour % = (16919.8 / 1080.8) × 100 = 1565.5%", "Step 5: Determine if on route (typically < 10% detour)", " 1565.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 16.88917, "lon": 42.55111, "name": "Jizan" }, "end": { "lat": 49.95542, "lon": 18.57479, "name": "Jastrzębie Zdrój" }, "waypoint": { "lat": -27.20338, "lon": 152.95923, "name": "Narangba" }, "question": "Is Narangba approximately on the direct path from Jizan to Jastrzębie Zdrój?", "ground_truth": { "answer": false, "direct_distance_km": 4257.3, "via_waypoint_km": 28249.0, "detour_km": 23991.7, "detour_percent": 563.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Jizan", " End: Jastrzębie Zdrój", " Waypoint: Narangba", "Step 2: Calculate direct distance", " Start → End: 4257.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 28249.0 km", "Step 4: Calculate detour", " Detour = 28249.0 - 4257.3 = 23991.7 km", " Detour % = (23991.7 / 4257.3) × 100 = 563.5%", "Step 5: Determine if on route (typically < 10% detour)", " 563.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -24.1928, "lon": -65.29342, "name": "San Salvador de Jujuy" }, "end": { "lat": 50.58518, "lon": 34.4849, "name": "Lebedyn" }, "waypoint": { "lat": 41.52837, "lon": -87.42365, "name": "Griffith" }, "question": "Is Griffith approximately on the direct path from San Salvador de Jujuy to Lebedyn?", "ground_truth": { "answer": false, "direct_distance_km": 12733.7, "via_waypoint_km": 15980.8, "detour_km": 3247.1, "detour_percent": 25.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: San Salvador de Jujuy", " End: Lebedyn", " Waypoint: Griffith", "Step 2: Calculate direct distance", " Start → End: 12733.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15980.8 km", "Step 4: Calculate detour", " Detour = 15980.8 - 12733.7 = 3247.1 km", " Detour % = (3247.1 / 12733.7) × 100 = 25.5%", "Step 5: Determine if on route (typically < 10% detour)", " 25.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 39.54555, "lon": -0.39551, "name": "Moncada" }, "end": { "lat": 49.17003, "lon": -123.13683, "name": "Richmond" }, "waypoint": { "lat": 28.6678, "lon": 77.02011, "name": "Bakarwāla" }, "question": "Is Bakarwāla approximately on the direct path from Moncada to Richmond?", "ground_truth": { "answer": false, "direct_distance_km": 8665.6, "via_waypoint_km": 18145.2, "detour_km": 9479.5, "detour_percent": 109.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Moncada", " End: Richmond", " Waypoint: Bakarwāla", "Step 2: Calculate direct distance", " Start → End: 8665.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18145.2 km", "Step 4: Calculate detour", " Detour = 18145.2 - 8665.6 = 9479.5 km", " Detour % = (9479.5 / 8665.6) × 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": 3.8801, "lon": -77.03116, "name": "Buenaventura" }, "end": { "lat": 31.26667, "lon": 130.31667, "name": "Makurazaki" }, "waypoint": { "lat": 62.03114, "lon": 129.72288, "name": "Yakutsk" }, "question": "Is Yakutsk approximately on the direct path from Buenaventura to Makurazaki?", "ground_truth": { "answer": true, "direct_distance_km": 15150.3, "via_waypoint_km": 15761.7, "detour_km": 611.3, "detour_percent": 4.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Buenaventura", " End: Makurazaki", " Waypoint: Yakutsk", "Step 2: Calculate direct distance", " Start → End: 15150.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15761.7 km", "Step 4: Calculate detour", " Detour = 15761.7 - 15150.3 = 611.3 km", " Detour % = (611.3 / 15150.3) × 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": 17.98372, "lon": 100.05217, "name": "Den Chai" }, "end": { "lat": -6.76667, "lon": 38.91667, "name": "Kibaha" }, "waypoint": { "lat": 40.44239, "lon": -3.69773, "name": "Rios Rosas" }, "question": "Is Rios Rosas approximately on the direct path from Den Chai to Kibaha?", "ground_truth": { "answer": false, "direct_distance_km": 7249.0, "via_waypoint_km": 16647.4, "detour_km": 9398.4, "detour_percent": 129.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Den Chai", " End: Kibaha", " Waypoint: Rios Rosas", "Step 2: Calculate direct distance", " Start → End: 7249.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16647.4 km", "Step 4: Calculate detour", " Detour = 16647.4 - 7249.0 = 9398.4 km", " Detour % = (9398.4 / 7249.0) × 100 = 129.7%", "Step 5: Determine if on route (typically < 10% detour)", " 129.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -1.24627, "lon": 36.66291, "name": "Kikuyu" }, "end": { "lat": 27.68833, "lon": 111.66417, "name": "Lianyuan" }, "waypoint": { "lat": -23.295, "lon": -50.07722, "name": "Santo Antônio da Platina" }, "question": "Is Santo Antônio da Platina approximately on the direct path from Kikuyu to Lianyuan?", "ground_truth": { "answer": false, "direct_distance_km": 8600.9, "via_waypoint_km": 27740.4, "detour_km": 19139.6, "detour_percent": 222.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kikuyu", " End: Lianyuan", " Waypoint: Santo Antônio da Platina", "Step 2: Calculate direct distance", " Start → End: 8600.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 27740.4 km", "Step 4: Calculate detour", " Detour = 27740.4 - 8600.9 = 19139.6 km", " Detour % = (19139.6 / 8600.9) × 100 = 222.5%", "Step 5: Determine if on route (typically < 10% detour)", " 222.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -35.41647, "lon": 149.06954, "name": "Tuggeranong Administrative District" }, "end": { "lat": -19.26639, "lon": 146.80569, "name": "Townsville" }, "waypoint": { "lat": -27.64613, "lon": 152.85965, "name": "Redbank Plains" }, "question": "Is Redbank Plains approximately on the direct path from Tuggeranong Administrative District to Townsville?", "ground_truth": { "answer": false, "direct_distance_km": 1809.5, "via_waypoint_km": 2052.8, "detour_km": 243.3, "detour_percent": 13.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Tuggeranong Administrative District", " End: Townsville", " Waypoint: Redbank Plains", "Step 2: Calculate direct distance", " Start → End: 1809.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 2052.8 km", "Step 4: Calculate detour", " Detour = 2052.8 - 1809.5 = 243.3 km", " Detour % = (243.3 / 1809.5) × 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": 33.88146, "lon": 10.0982, "name": "Gabès" }, "end": { "lat": 27.37089, "lon": 62.33096, "name": "Sarāvān" }, "waypoint": { "lat": 31.74311, "lon": 44.6196, "name": "Nahiyat Ghammas" }, "question": "Is Nahiyat Ghammas approximately on the direct path from Gabès to Sarāvān?", "ground_truth": { "answer": true, "direct_distance_km": 4997.2, "via_waypoint_km": 4998.2, "detour_km": 1.0, "detour_percent": 0.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Gabès", " End: Sarāvān", " Waypoint: Nahiyat Ghammas", "Step 2: Calculate direct distance", " Start → End: 4997.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 4998.2 km", "Step 4: Calculate detour", " Detour = 4998.2 - 4997.2 = 1.0 km", " Detour % = (1.0 / 4997.2) × 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": 6.24683, "lon": -10.35642, "name": "Harbel" }, "end": { "lat": -22.995, "lon": -47.50778, "name": "Capivari" }, "waypoint": { "lat": -34.75705, "lon": 138.60819, "name": "Paralowie" }, "question": "Is Paralowie approximately on the direct path from Harbel to Capivari?", "ground_truth": { "answer": false, "direct_distance_km": 5183.8, "via_waypoint_km": 29086.6, "detour_km": 23902.8, "detour_percent": 461.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Harbel", " End: Capivari", " Waypoint: Paralowie", "Step 2: Calculate direct distance", " Start → End: 5183.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 29086.6 km", "Step 4: Calculate detour", " Detour = 29086.6 - 5183.8 = 23902.8 km", " Detour % = (23902.8 / 5183.8) × 100 = 461.1%", "Step 5: Determine if on route (typically < 10% detour)", " 461.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 22.12915, "lon": 81.86959, "name": "Takhatpur" }, "end": { "lat": 28.01057, "lon": -82.57732, "name": "Town 'n' Country" }, "waypoint": { "lat": 58.52131, "lon": 31.27104, "name": "Velikiy Novgorod" }, "question": "Is Velikiy Novgorod approximately on the direct path from Takhatpur to Town 'n' Country?", "ground_truth": { "answer": true, "direct_distance_km": 14195.1, "via_waypoint_km": 14312.0, "detour_km": 116.9, "detour_percent": 0.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Takhatpur", " End: Town 'n' Country", " Waypoint: Velikiy Novgorod", "Step 2: Calculate direct distance", " Start → End: 14195.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14312.0 km", "Step 4: Calculate detour", " Detour = 14312.0 - 14195.1 = 116.9 km", " Detour % = (116.9 / 14195.1) × 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": 48.21243, "lon": 16.34549, "name": "Josefstadt" }, "end": { "lat": 0.3375, "lon": 33.01056, "name": "Buikwe" }, "waypoint": { "lat": 35.52832, "lon": -0.19369, "name": "Sig" }, "question": "Is Sig approximately on the direct path from Josefstadt to Buikwe?", "ground_truth": { "answer": false, "direct_distance_km": 5560.0, "via_waypoint_km": 7163.3, "detour_km": 1603.3, "detour_percent": 28.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Josefstadt", " End: Buikwe", " Waypoint: Sig", "Step 2: Calculate direct distance", " Start → End: 5560.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 7163.3 km", "Step 4: Calculate detour", " Detour = 7163.3 - 5560.0 = 1603.3 km", " Detour % = (1603.3 / 5560.0) × 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": 18.42693, "lon": -64.62079, "name": "Road Town" }, "end": { "lat": 4.91667, "lon": -52.26667, "name": "Rémire-Montjoly" }, "waypoint": { "lat": 27.09131, "lon": 119.64446, "name": "Fu’an" }, "question": "Is Fu’an approximately on the direct path from Road Town to Rémire-Montjoly?", "ground_truth": { "answer": false, "direct_distance_km": 2014.2, "via_waypoint_km": 31284.1, "detour_km": 29269.9, "detour_percent": 1453.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Road Town", " End: Rémire-Montjoly", " Waypoint: Fu’an", "Step 2: Calculate direct distance", " Start → End: 2014.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 31284.1 km", "Step 4: Calculate detour", " Detour = 31284.1 - 2014.2 = 29269.9 km", " Detour % = (29269.9 / 2014.2) × 100 = 1453.2%", "Step 5: Determine if on route (typically < 10% detour)", " 1453.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 4.63911, "lon": 9.67987, "name": "Penja" }, "end": { "lat": 50.80904, "lon": 8.77069, "name": "Marburg an der Lahn" }, "waypoint": { "lat": 44.9994, "lon": 7.68236, "name": "Moncalieri" }, "question": "Is Moncalieri approximately on the direct path from Penja to Marburg an der Lahn?", "ground_truth": { "answer": true, "direct_distance_km": 5134.6, "via_waypoint_km": 5143.1, "detour_km": 8.6, "detour_percent": 0.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Penja", " End: Marburg an der Lahn", " Waypoint: Moncalieri", "Step 2: Calculate direct distance", " Start → End: 5134.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 5143.1 km", "Step 4: Calculate detour", " Detour = 5143.1 - 5134.6 = 8.6 km", " Detour % = (8.6 / 5134.6) × 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": -18.91368, "lon": 47.53613, "name": "Antananarivo" }, "end": { "lat": -31.52356, "lon": 27.6952, "name": "Cala" }, "waypoint": { "lat": -8.52425, "lon": 179.19417, "name": "Funafuti" }, "question": "Is Funafuti approximately on the direct path from Antananarivo to Cala?", "ground_truth": { "answer": false, "direct_distance_km": 2432.2, "via_waypoint_km": 28529.4, "detour_km": 26097.2, "detour_percent": 1073.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Antananarivo", " End: Cala", " Waypoint: Funafuti", "Step 2: Calculate direct distance", " Start → End: 2432.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 28529.4 km", "Step 4: Calculate detour", " Detour = 28529.4 - 2432.2 = 26097.2 km", " Detour % = (26097.2 / 2432.2) × 100 = 1073.0%", "Step 5: Determine if on route (typically < 10% detour)", " 1073.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 13.48261, "lon": -88.18211, "name": "San Miguel" }, "end": { "lat": 46.37049, "lon": 6.47985, "name": "Thonon-les-Bains" }, "waypoint": { "lat": 34.5676, "lon": 135.5974, "name": "Fujiidera" }, "question": "Is Fujiidera approximately on the direct path from San Miguel to Thonon-les-Bains?", "ground_truth": { "answer": false, "direct_distance_km": 9278.2, "via_waypoint_km": 22626.7, "detour_km": 13348.5, "detour_percent": 143.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: San Miguel", " End: Thonon-les-Bains", " Waypoint: Fujiidera", "Step 2: Calculate direct distance", " Start → End: 9278.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22626.7 km", "Step 4: Calculate detour", " Detour = 22626.7 - 9278.2 = 13348.5 km", " Detour % = (13348.5 / 9278.2) × 100 = 143.9%", "Step 5: Determine if on route (typically < 10% detour)", " 143.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 51.52866, "lon": -0.35508, "name": "Greenford" }, "end": { "lat": -34.89791, "lon": -54.95021, "name": "Maldonado" }, "waypoint": { "lat": -14.89528, "lon": -41.96861, "name": "Condeúba" }, "question": "Is Condeúba approximately on the direct path from Greenford to Maldonado?", "ground_truth": { "answer": true, "direct_distance_km": 10981.7, "via_waypoint_km": 10984.4, "detour_km": 2.7, "detour_percent": 0.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Greenford", " End: Maldonado", " Waypoint: Condeúba", "Step 2: Calculate direct distance", " Start → End: 10981.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 10984.4 km", "Step 4: Calculate detour", " Detour = 10984.4 - 10981.7 = 2.7 km", " Detour % = (2.7 / 10981.7) × 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": 35.7091, "lon": 139.41891, "name": "Tachikawa" }, "end": { "lat": 0.94722, "lon": 33.11972, "name": "Kamuli" }, "waypoint": { "lat": 55.71815, "lon": 37.47271, "name": "Davydkovo" }, "question": "Is Davydkovo approximately on the direct path from Tachikawa to Kamuli?", "ground_truth": { "answer": false, "direct_distance_km": 11409.0, "via_waypoint_km": 13574.6, "detour_km": 2165.6, "detour_percent": 19.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Tachikawa", " End: Kamuli", " Waypoint: Davydkovo", "Step 2: Calculate direct distance", " Start → End: 11409.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13574.6 km", "Step 4: Calculate detour", " Detour = 13574.6 - 11409.0 = 2165.6 km", " Detour % = (2165.6 / 11409.0) × 100 = 19.0%", "Step 5: Determine if on route (typically < 10% detour)", " 19.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 0.43803, "lon": 32.60246, "name": "Kasangati" }, "end": { "lat": 10.35, "lon": 37.73333, "name": "Debre Mark’os" }, "waypoint": { "lat": 14.00776, "lon": 0.75306, "name": "Téra" }, "question": "Is Téra approximately on the direct path from Kasangati to Debre Mark’os?", "ground_truth": { "answer": false, "direct_distance_km": 1239.6, "via_waypoint_km": 7851.0, "detour_km": 6611.5, "detour_percent": 533.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kasangati", " End: Debre Mark’os", " Waypoint: Téra", "Step 2: Calculate direct distance", " Start → End: 1239.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 7851.0 km", "Step 4: Calculate detour", " Detour = 7851.0 - 1239.6 = 6611.5 km", " Detour % = (6611.5 / 1239.6) × 100 = 533.4%", "Step 5: Determine if on route (typically < 10% detour)", " 533.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 32.82648, "lon": 3.76689, "name": "Berriane" }, "end": { "lat": 32.06716, "lon": 130.61182, "name": "Isa" }, "waypoint": { "lat": 47.37398, "lon": 8.49007, "name": "Zürich (Kreis 9) / Albisrieden" }, "question": "Is Zürich (Kreis 9) / Albisrieden approximately on the direct path from Berriane to Isa?", "ground_truth": { "answer": true, "direct_distance_km": 10897.3, "via_waypoint_km": 11128.1, "detour_km": 230.8, "detour_percent": 2.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Berriane", " End: Isa", " Waypoint: Zürich (Kreis 9) / Albisrieden", "Step 2: Calculate direct distance", " Start → End: 10897.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 11128.1 km", "Step 4: Calculate detour", " Detour = 11128.1 - 10897.3 = 230.8 km", " Detour % = (230.8 / 10897.3) × 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": -22.7775, "lon": -47.29583, "name": "Nova Odessa" }, "end": { "lat": 48.98813, "lon": 2.30156, "name": "Soisy-sous-Montmorency" }, "waypoint": { "lat": 35.86667, "lon": 140.01667, "name": "Abiko" }, "question": "Is Abiko approximately on the direct path from Nova Odessa to Soisy-sous-Montmorency?", "ground_truth": { "answer": false, "direct_distance_km": 9369.2, "via_waypoint_km": 28094.8, "detour_km": 18725.5, "detour_percent": 199.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Nova Odessa", " End: Soisy-sous-Montmorency", " Waypoint: Abiko", "Step 2: Calculate direct distance", " Start → End: 9369.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 28094.8 km", "Step 4: Calculate detour", " Detour = 28094.8 - 9369.2 = 18725.5 km", " Detour % = (18725.5 / 9369.2) × 100 = 199.9%", "Step 5: Determine if on route (typically < 10% detour)", " 199.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 53.4614, "lon": -2.92863, "name": "Fazakerley" }, "end": { "lat": 29.27837, "lon": 108.39822, "name": "Sangzhe" }, "waypoint": { "lat": 33.53388, "lon": 5.99306, "name": "Djamaa" }, "question": "Is Djamaa approximately on the direct path from Fazakerley to Sangzhe?", "ground_truth": { "answer": false, "direct_distance_km": 8698.2, "via_waypoint_km": 11605.3, "detour_km": 2907.1, "detour_percent": 33.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Fazakerley", " End: Sangzhe", " Waypoint: Djamaa", "Step 2: Calculate direct distance", " Start → End: 8698.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 11605.3 km", "Step 4: Calculate detour", " Detour = 11605.3 - 8698.2 = 2907.1 km", " Detour % = (2907.1 / 8698.2) × 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": 51.42212, "lon": -0.20805, "name": "Wimbledon" }, "end": { "lat": 32.54278, "lon": 111.50861, "name": "Danjiangkou" }, "waypoint": { "lat": 37.70577, "lon": -122.46192, "name": "Daly City" }, "question": "Is Daly City approximately on the direct path from Wimbledon to Danjiangkou?", "ground_truth": { "answer": false, "direct_distance_km": 8555.0, "via_waypoint_km": 19039.1, "detour_km": 10484.1, "detour_percent": 122.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Wimbledon", " End: Danjiangkou", " Waypoint: Daly City", "Step 2: Calculate direct distance", " Start → End: 8555.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19039.1 km", "Step 4: Calculate detour", " Detour = 19039.1 - 8555.0 = 10484.1 km", " Detour % = (10484.1 / 8555.0) × 100 = 122.5%", "Step 5: Determine if on route (typically < 10% detour)", " 122.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 41.85003, "lon": -87.65005, "name": "Chicago" }, "end": { "lat": 45.25008, "lon": -74.13253, "name": "Salaberry-de-Valleyfield" }, "waypoint": { "lat": 35.74788, "lon": -95.36969, "name": "Muskogee" }, "question": "Is Muskogee approximately on the direct path from Chicago to Salaberry-de-Valleyfield?", "ground_truth": { "answer": false, "direct_distance_km": 1151.4, "via_waypoint_km": 3026.1, "detour_km": 1874.7, "detour_percent": 162.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Chicago", " End: Salaberry-de-Valleyfield", " Waypoint: Muskogee", "Step 2: Calculate direct distance", " Start → End: 1151.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 3026.1 km", "Step 4: Calculate detour", " Detour = 3026.1 - 1151.4 = 1874.7 km", " Detour % = (1874.7 / 1151.4) × 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": 33.93113, "lon": -117.54866, "name": "Norco" }, "end": { "lat": -26.85213, "lon": 26.66672, "name": "Klerksdorp" }, "waypoint": { "lat": 22.38333, "lon": 114.18333, "name": "Sha Tin" }, "question": "Is Sha Tin approximately on the direct path from Norco to Klerksdorp?", "ground_truth": { "answer": false, "direct_distance_km": 16512.4, "via_waypoint_km": 22578.7, "detour_km": 6066.4, "detour_percent": 36.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Norco", " End: Klerksdorp", " Waypoint: Sha Tin", "Step 2: Calculate direct distance", " Start → End: 16512.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22578.7 km", "Step 4: Calculate detour", " Detour = 22578.7 - 16512.4 = 6066.4 km", " Detour % = (6066.4 / 16512.4) × 100 = 36.7%", "Step 5: Determine if on route (typically < 10% detour)", " 36.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 10.91248, "lon": 77.03699, "name": "Chettipālaiyam" }, "end": { "lat": 12.24364, "lon": 102.51514, "name": "Trat" }, "waypoint": { "lat": 30.07292, "lon": 108.11027, "name": "Daxie" }, "question": "Is Daxie approximately on the direct path from Chettipālaiyam to Trat?", "ground_truth": { "answer": false, "direct_distance_km": 2778.3, "via_waypoint_km": 5917.3, "detour_km": 3138.9, "detour_percent": 113.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Chettipālaiyam", " End: Trat", " Waypoint: Daxie", "Step 2: Calculate direct distance", " Start → End: 2778.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 5917.3 km", "Step 4: Calculate detour", " Detour = 5917.3 - 2778.3 = 3138.9 km", " Detour % = (3138.9 / 2778.3) × 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": 8.72742, "lon": 77.6838, "name": "Tirunelveli" }, "end": { "lat": 41.51922, "lon": -81.4579, "name": "Mayfield Heights" }, "waypoint": { "lat": 34.50055, "lon": -118.11646, "name": "Vincent" }, "question": "Is Vincent approximately on the direct path from Tirunelveli to Mayfield Heights?", "ground_truth": { "answer": false, "direct_distance_km": 14035.8, "via_waypoint_km": 18207.4, "detour_km": 4171.6, "detour_percent": 29.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Tirunelveli", " End: Mayfield Heights", " Waypoint: Vincent", "Step 2: Calculate direct distance", " Start → End: 14035.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18207.4 km", "Step 4: Calculate detour", " Detour = 18207.4 - 14035.8 = 4171.6 km", " Detour % = (4171.6 / 14035.8) × 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": 1.01659, "lon": 39.49122, "name": "Habaswein" }, "end": { "lat": 36.4, "lon": 10.61667, "name": "Hammamet" }, "waypoint": { "lat": 49.58333, "lon": 3.0, "name": "Noyon" }, "question": "Is Noyon approximately on the direct path from Habaswein to Hammamet?", "ground_truth": { "answer": false, "direct_distance_km": 4930.0, "via_waypoint_km": 8003.1, "detour_km": 3073.1, "detour_percent": 62.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Habaswein", " End: Hammamet", " Waypoint: Noyon", "Step 2: Calculate direct distance", " Start → End: 4930.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 8003.1 km", "Step 4: Calculate detour", " Detour = 8003.1 - 4930.0 = 3073.1 km", " Detour % = (3073.1 / 4930.0) × 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": -1.15194, "lon": -48.12944, "name": "Santo Antônio do Tauá" }, "end": { "lat": -31.95224, "lon": 115.8614, "name": "Perth" }, "waypoint": { "lat": 39.94104, "lon": 119.58936, "name": "Qinhuangdao" }, "question": "Is Qinhuangdao approximately on the direct path from Santo Antônio do Tauá to Perth?", "ground_truth": { "answer": false, "direct_distance_km": 15966.4, "via_waypoint_km": 23529.9, "detour_km": 7563.5, "detour_percent": 47.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Santo Antônio do Tauá", " End: Perth", " Waypoint: Qinhuangdao", "Step 2: Calculate direct distance", " Start → End: 15966.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23529.9 km", "Step 4: Calculate detour", " Detour = 23529.9 - 15966.4 = 7563.5 km", " Detour % = (7563.5 / 15966.4) × 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": 46.84862, "lon": 40.31164, "name": "Zernograd" }, "end": { "lat": 16.58225, "lon": 81.38112, "name": "Akivīdu" }, "waypoint": { "lat": 23.1749, "lon": -102.86785, "name": "Fresnillo" }, "question": "Is Fresnillo approximately on the direct path from Zernograd to Akivīdu?", "ground_truth": { "answer": false, "direct_distance_km": 5046.2, "via_waypoint_km": 26966.2, "detour_km": 21920.0, "detour_percent": 434.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Zernograd", " End: Akivīdu", " Waypoint: Fresnillo", "Step 2: Calculate direct distance", " Start → End: 5046.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 26966.2 km", "Step 4: Calculate detour", " Detour = 26966.2 - 5046.2 = 21920.0 km", " Detour % = (21920.0 / 5046.2) × 100 = 434.4%", "Step 5: Determine if on route (typically < 10% detour)", " 434.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 48.30073, "lon": 4.08524, "name": "Troyes" }, "end": { "lat": 52.63399, "lon": -1.69587, "name": "Tamworth" }, "waypoint": { "lat": 18.44909, "lon": 83.65957, "name": "Rāzām" }, "question": "Is Rāzām approximately on the direct path from Troyes to Tamworth?", "ground_truth": { "answer": false, "direct_distance_km": 631.7, "via_waypoint_km": 15805.0, "detour_km": 15173.3, "detour_percent": 2401.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Troyes", " End: Tamworth", " Waypoint: Rāzām", "Step 2: Calculate direct distance", " Start → End: 631.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15805.0 km", "Step 4: Calculate detour", " Detour = 15805.0 - 631.7 = 15173.3 km", " Detour % = (15173.3 / 631.7) × 100 = 2401.9%", "Step 5: Determine if on route (typically < 10% detour)", " 2401.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 13.75398, "lon": 100.50144, "name": "Bangkok" }, "end": { "lat": -34.15152, "lon": 19.01509, "name": "Grabouw" }, "waypoint": { "lat": 33.44179, "lon": -94.03769, "name": "Texarkana" }, "question": "Is Texarkana approximately on the direct path from Bangkok to Grabouw?", "ground_truth": { "answer": false, "direct_distance_km": 10099.7, "via_waypoint_km": 28493.0, "detour_km": 18393.3, "detour_percent": 182.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Bangkok", " End: Grabouw", " Waypoint: Texarkana", "Step 2: Calculate direct distance", " Start → End: 10099.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 28493.0 km", "Step 4: Calculate detour", " Detour = 28493.0 - 10099.7 = 18393.3 km", " Detour % = (18393.3 / 10099.7) × 100 = 182.1%", "Step 5: Determine if on route (typically < 10% detour)", " 182.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 49.58925, "lon": 34.55367, "name": "Poltava" }, "end": { "lat": 36.87818, "lon": 10.32466, "name": "La Marsa" }, "waypoint": { "lat": 25.94167, "lon": 83.56111, "name": "Mau" }, "question": "Is Mau approximately on the direct path from Poltava to La Marsa?", "ground_truth": { "answer": false, "direct_distance_km": 2401.2, "via_waypoint_km": 11818.3, "detour_km": 9417.1, "detour_percent": 392.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Poltava", " End: La Marsa", " Waypoint: Mau", "Step 2: Calculate direct distance", " Start → End: 2401.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 11818.3 km", "Step 4: Calculate detour", " Detour = 11818.3 - 2401.2 = 9417.1 km", " Detour % = (9417.1 / 2401.2) × 100 = 392.2%", "Step 5: Determine if on route (typically < 10% detour)", " 392.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 53.34071, "lon": -2.841, "name": "Speke" }, "end": { "lat": -13.85875, "lon": -40.08512, "name": "Jequié" }, "waypoint": { "lat": 28.51225, "lon": 77.24083, "name": "Tighri" }, "question": "Is Tighri approximately on the direct path from Speke to Jequié?", "ground_truth": { "answer": false, "direct_distance_km": 8270.3, "via_waypoint_km": 20253.9, "detour_km": 11983.6, "detour_percent": 144.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Speke", " End: Jequié", " Waypoint: Tighri", "Step 2: Calculate direct distance", " Start → End: 8270.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20253.9 km", "Step 4: Calculate detour", " Detour = 20253.9 - 8270.3 = 11983.6 km", " Detour % = (11983.6 / 8270.3) × 100 = 144.9%", "Step 5: Determine if on route (typically < 10% detour)", " 144.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 11.57506, "lon": 77.59043, "name": "Anthiyur" }, "end": { "lat": 5.976, "lon": -74.58516, "name": "Puerto Boyacá" }, "waypoint": { "lat": -29.79145, "lon": -58.0499, "name": "Curuzú Cuatiá" }, "question": "Is Curuzú Cuatiá approximately on the direct path from Anthiyur to Puerto Boyacá?", "ground_truth": { "answer": false, "direct_distance_km": 16370.6, "via_waypoint_km": 19366.5, "detour_km": 2995.9, "detour_percent": 18.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Anthiyur", " End: Puerto Boyacá", " Waypoint: Curuzú Cuatiá", "Step 2: Calculate direct distance", " Start → End: 16370.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19366.5 km", "Step 4: Calculate detour", " Detour = 19366.5 - 16370.6 = 2995.9 km", " Detour % = (2995.9 / 16370.6) × 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": 49.40768, "lon": 8.69079, "name": "Heidelberg" }, "end": { "lat": 35.0125, "lon": 34.05833, "name": "Protaras" }, "waypoint": { "lat": 12.49839, "lon": 75.0503, "name": "Chengala" }, "question": "Is Chengala approximately on the direct path from Heidelberg to Protaras?", "ground_truth": { "answer": false, "direct_distance_km": 2610.5, "via_waypoint_km": 12067.8, "detour_km": 9457.3, "detour_percent": 362.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Heidelberg", " End: Protaras", " Waypoint: Chengala", "Step 2: Calculate direct distance", " Start → End: 2610.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12067.8 km", "Step 4: Calculate detour", " Detour = 12067.8 - 2610.5 = 9457.3 km", " Detour % = (9457.3 / 2610.5) × 100 = 362.3%", "Step 5: Determine if on route (typically < 10% detour)", " 362.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 15.4, "lon": -87.8, "name": "El Progreso" }, "end": { "lat": -31.87101, "lon": 26.97862, "name": "Queensdale" }, "waypoint": { "lat": 25.56528, "lon": 85.05599, "name": "Nohsa" }, "question": "Is Nohsa approximately on the direct path from El Progreso to Queensdale?", "ground_truth": { "answer": false, "direct_distance_km": 13221.7, "via_waypoint_km": 24267.1, "detour_km": 11045.4, "detour_percent": 83.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: El Progreso", " End: Queensdale", " Waypoint: Nohsa", "Step 2: Calculate direct distance", " Start → End: 13221.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24267.1 km", "Step 4: Calculate detour", " Detour = 24267.1 - 13221.7 = 11045.4 km", " Detour % = (11045.4 / 13221.7) × 100 = 83.5%", "Step 5: Determine if on route (typically < 10% detour)", " 83.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -12.08911, "lon": -76.99876, "name": "San Francisco De Borja" }, "end": { "lat": 22.75703, "lon": 78.35499, "name": "Pipariā" }, "waypoint": { "lat": 22.33713, "lon": 114.16673, "name": "Pak Tin Estate" }, "question": "Is Pak Tin Estate approximately on the direct path from San Francisco De Borja to Pipariā?", "ground_truth": { "answer": false, "direct_distance_km": 17150.0, "via_waypoint_km": 22040.9, "detour_km": 4890.9, "detour_percent": 28.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: San Francisco De Borja", " End: Pipariā", " Waypoint: Pak Tin Estate", "Step 2: Calculate direct distance", " Start → End: 17150.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22040.9 km", "Step 4: Calculate detour", " Detour = 22040.9 - 17150.0 = 4890.9 km", " Detour % = (4890.9 / 17150.0) × 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": 36.95348, "lon": 36.19839, "name": "Erzin" }, "end": { "lat": 11.78, "lon": -0.36972, "name": "Tenkodogo" }, "waypoint": { "lat": 13.41667, "lon": 34.63333, "name": "Al Ḩawātah" }, "question": "Is Al Ḩawātah approximately on the direct path from Erzin to Tenkodogo?", "ground_truth": { "answer": false, "direct_distance_km": 4594.6, "via_waypoint_km": 6421.5, "detour_km": 1826.9, "detour_percent": 39.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Erzin", " End: Tenkodogo", " Waypoint: Al Ḩawātah", "Step 2: Calculate direct distance", " Start → End: 4594.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 6421.5 km", "Step 4: Calculate detour", " Detour = 6421.5 - 4594.6 = 1826.9 km", " Detour % = (1826.9 / 4594.6) × 100 = 39.8%", "Step 5: Determine if on route (typically < 10% detour)", " 39.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 19.62201, "lon": 74.65699, "name": "Shrirampur" }, "end": { "lat": 4.66115, "lon": 119.39647, "name": "Sitangkai" }, "waypoint": { "lat": 0.34801, "lon": 30.65427, "name": "Rwamwanja Refugee Camp" }, "question": "Is Rwamwanja Refugee Camp approximately on the direct path from Shrirampur to Sitangkai?", "ground_truth": { "answer": false, "direct_distance_km": 5119.5, "via_waypoint_km": 15112.3, "detour_km": 9992.8, "detour_percent": 195.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Shrirampur", " End: Sitangkai", " Waypoint: Rwamwanja Refugee Camp", "Step 2: Calculate direct distance", " Start → End: 5119.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15112.3 km", "Step 4: Calculate detour", " Detour = 15112.3 - 5119.5 = 9992.8 km", " Detour % = (9992.8 / 5119.5) × 100 = 195.2%", "Step 5: Determine if on route (typically < 10% detour)", " 195.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -8.40003, "lon": 114.26661, "name": "Srono" }, "end": { "lat": 47.67887, "lon": -122.02833, "name": "Union Hill-Novelty Hill" }, "waypoint": { "lat": 30.35048, "lon": -89.15282, "name": "Long Beach" }, "question": "Is Long Beach approximately on the direct path from Srono to Union Hill-Novelty Hill?", "ground_truth": { "answer": false, "direct_distance_km": 13180.0, "via_waypoint_km": 19960.4, "detour_km": 6780.5, "detour_percent": 51.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Srono", " End: Union Hill-Novelty Hill", " Waypoint: Long Beach", "Step 2: Calculate direct distance", " Start → End: 13180.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19960.4 km", "Step 4: Calculate detour", " Detour = 19960.4 - 13180.0 = 6780.5 km", " Detour % = (6780.5 / 13180.0) × 100 = 51.4%", "Step 5: Determine if on route (typically < 10% detour)", " 51.4% > 10%", "FINAL ANSWER: No" ] } ]