| [ |
| { |
| "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" |
| ] |
| } |
| ] |
