| [ |
| { |
| "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": 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": -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": 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": -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": 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": -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": 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": 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": 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": 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": 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": -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": 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": 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": 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": -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": -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": 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": 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": 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": 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": -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": 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": -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": -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": -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": 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": 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": 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": 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": 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": 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" |
| ] |
| } |
| ] |
|
|
