| [ |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 47.48427, |
| "lon": 19.13913, |
| "name": "Kőbánya" |
| }, |
| "end": { |
| "lat": 42.35861, |
| "lon": 20.825, |
| "name": "Suva Reka" |
| }, |
| "waypoint": { |
| "lat": -26.31401, |
| "lon": 26.82223, |
| "name": "Ventersdorp" |
| }, |
| "question": "Is Ventersdorp approximately on the direct path from Kőbánya to Suva Reka?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 585.2, |
| "via_waypoint_km": 15902.9, |
| "detour_km": 15317.7, |
| "detour_percent": 2617.7 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Kőbánya", |
| " End: Suva Reka", |
| " Waypoint: Ventersdorp", |
| "Step 2: Calculate direct distance", |
| " Start → End: 585.2 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 15902.9 km", |
| "Step 4: Calculate detour", |
| " Detour = 15902.9 - 585.2 = 15317.7 km", |
| " Detour % = (15317.7 / 585.2) × 100 = 2617.7%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 2617.7% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": -13.40056, |
| "lon": -44.19472, |
| "name": "São Félix do Coribe" |
| }, |
| "end": { |
| "lat": 27.08694, |
| "lon": 93.60987, |
| "name": "Itanagar" |
| }, |
| "waypoint": { |
| "lat": 20.29879, |
| "lon": -76.24511, |
| "name": "Contramaestre" |
| }, |
| "question": "Is Contramaestre approximately on the direct path from São Félix do Coribe to Itanagar?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 15383.3, |
| "via_waypoint_km": 19764.4, |
| "detour_km": 4381.1, |
| "detour_percent": 28.5 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: São Félix do Coribe", |
| " End: Itanagar", |
| " Waypoint: Contramaestre", |
| "Step 2: Calculate direct distance", |
| " Start → End: 15383.3 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 19764.4 km", |
| "Step 4: Calculate detour", |
| " Detour = 19764.4 - 15383.3 = 4381.1 km", |
| " Detour % = (4381.1 / 15383.3) × 100 = 28.5%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 28.5% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 51.47475, |
| "lon": -0.15547, |
| "name": "Battersea" |
| }, |
| "end": { |
| "lat": 63.99813, |
| "lon": -22.56111, |
| "name": "Reykjanesbær" |
| }, |
| "waypoint": { |
| "lat": 3.80315, |
| "lon": 42.54417, |
| "name": "Luuq" |
| }, |
| "question": "Is Luuq approximately on the direct path from Battersea to Reykjanesbær?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 1905.7, |
| "via_waypoint_km": 15046.8, |
| "detour_km": 13141.0, |
| "detour_percent": 689.5 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Battersea", |
| " End: Reykjanesbær", |
| " Waypoint: Luuq", |
| "Step 2: Calculate direct distance", |
| " Start → End: 1905.7 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 15046.8 km", |
| "Step 4: Calculate detour", |
| " Detour = 15046.8 - 1905.7 = 13141.0 km", |
| " Detour % = (13141.0 / 1905.7) × 100 = 689.5%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 689.5% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 33.72654, |
| "lon": 59.18439, |
| "name": "Qā’en" |
| }, |
| "end": { |
| "lat": 44.87058, |
| "lon": 38.15759, |
| "name": "Abinsk" |
| }, |
| "waypoint": { |
| "lat": 38.95617, |
| "lon": 20.7505, |
| "name": "Préveza" |
| }, |
| "question": "Is Préveza approximately on the direct path from Qā’en to Abinsk?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 2182.5, |
| "via_waypoint_km": 5044.3, |
| "detour_km": 2861.8, |
| "detour_percent": 131.1 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Qā’en", |
| " End: Abinsk", |
| " Waypoint: Préveza", |
| "Step 2: Calculate direct distance", |
| " Start → End: 2182.5 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 5044.3 km", |
| "Step 4: Calculate detour", |
| " Detour = 5044.3 - 2182.5 = 2861.8 km", |
| " Detour % = (2861.8 / 2182.5) × 100 = 131.1%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 131.1% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 8.39307, |
| "lon": 8.35544, |
| "name": "Doma" |
| }, |
| "end": { |
| "lat": 31.755, |
| "lon": -8.11, |
| "name": "Tamansourt" |
| }, |
| "waypoint": { |
| "lat": 40.82732, |
| "lon": -73.85013, |
| "name": "Unionport" |
| }, |
| "question": "Is Unionport approximately on the direct path from Doma to Tamansourt?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 3105.7, |
| "via_waypoint_km": 14584.8, |
| "detour_km": 11479.2, |
| "detour_percent": 369.6 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Doma", |
| " End: Tamansourt", |
| " Waypoint: Unionport", |
| "Step 2: Calculate direct distance", |
| " Start → End: 3105.7 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 14584.8 km", |
| "Step 4: Calculate detour", |
| " Detour = 14584.8 - 3105.7 = 11479.2 km", |
| " Detour % = (11479.2 / 3105.7) × 100 = 369.6%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 369.6% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 35.86559, |
| "lon": -101.97324, |
| "name": "Dumas" |
| }, |
| "end": { |
| "lat": -40.35636, |
| "lon": 175.61113, |
| "name": "Palmerston North" |
| }, |
| "waypoint": { |
| "lat": 15.21233, |
| "lon": 145.7545, |
| "name": "Saipan" |
| }, |
| "question": "Is Saipan approximately on the direct path from Dumas to Palmerston North?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 11934.6, |
| "via_waypoint_km": 17825.5, |
| "detour_km": 5890.9, |
| "detour_percent": 49.4 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Dumas", |
| " End: Palmerston North", |
| " Waypoint: Saipan", |
| "Step 2: Calculate direct distance", |
| " Start → End: 11934.6 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 17825.5 km", |
| "Step 4: Calculate detour", |
| " Detour = 17825.5 - 11934.6 = 5890.9 km", |
| " Detour % = (5890.9 / 11934.6) × 100 = 49.4%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 49.4% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 34.65918, |
| "lon": 109.22921, |
| "name": "Yanliang" |
| }, |
| "end": { |
| "lat": 49.59099, |
| "lon": 11.00783, |
| "name": "Erlangen" |
| }, |
| "waypoint": { |
| "lat": -25.43321, |
| "lon": 31.95478, |
| "name": "Komatipoort" |
| }, |
| "question": "Is Komatipoort approximately on the direct path from Yanliang to Erlangen?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 7683.3, |
| "via_waypoint_km": 19117.8, |
| "detour_km": 11434.5, |
| "detour_percent": 148.8 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Yanliang", |
| " End: Erlangen", |
| " Waypoint: Komatipoort", |
| "Step 2: Calculate direct distance", |
| " Start → End: 7683.3 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 19117.8 km", |
| "Step 4: Calculate detour", |
| " Detour = 19117.8 - 7683.3 = 11434.5 km", |
| " Detour % = (11434.5 / 7683.3) × 100 = 148.8%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 148.8% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": -1.9275, |
| "lon": 18.2881, |
| "name": "Inongo" |
| }, |
| "end": { |
| "lat": 15.81311, |
| "lon": -90.28896, |
| "name": "Chisec" |
| }, |
| "waypoint": { |
| "lat": -0.19337, |
| "lon": -74.78189, |
| "name": "Puerto Leguízamo" |
| }, |
| "question": "Is Puerto Leguízamo approximately on the direct path from Inongo to Chisec?", |
| "ground_truth": { |
| "answer": true, |
| "direct_distance_km": 12052.6, |
| "via_waypoint_km": 12810.9, |
| "detour_km": 758.2, |
| "detour_percent": 6.3 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Inongo", |
| " End: Chisec", |
| " Waypoint: Puerto Leguízamo", |
| "Step 2: Calculate direct distance", |
| " Start → End: 12052.6 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 12810.9 km", |
| "Step 4: Calculate detour", |
| " Detour = 12810.9 - 12052.6 = 758.2 km", |
| " Detour % = (758.2 / 12052.6) × 100 = 6.3%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 6.3% < 10%", |
| "FINAL ANSWER: Yes" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 21.22899, |
| "lon": 79.2398, |
| "name": "Kanhān" |
| }, |
| "end": { |
| "lat": 30.11405, |
| "lon": 51.52174, |
| "name": "Nūrābād" |
| }, |
| "waypoint": { |
| "lat": -27.18871, |
| "lon": 25.32931, |
| "name": "Schweizer-Reneke" |
| }, |
| "question": "Is Schweizer-Reneke approximately on the direct path from Kanhān to Nūrābād?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 2939.0, |
| "via_waypoint_km": 14866.1, |
| "detour_km": 11927.1, |
| "detour_percent": 405.8 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Kanhān", |
| " End: Nūrābād", |
| " Waypoint: Schweizer-Reneke", |
| "Step 2: Calculate direct distance", |
| " Start → End: 2939.0 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 14866.1 km", |
| "Step 4: Calculate detour", |
| " Detour = 14866.1 - 2939.0 = 11927.1 km", |
| " Detour % = (11927.1 / 2939.0) × 100 = 405.8%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 405.8% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 12.57065, |
| "lon": 99.95876, |
| "name": "Hua Hin" |
| }, |
| "end": { |
| "lat": 31.82999, |
| "lon": 35.22539, |
| "name": "Bayt Ḩanīnā" |
| }, |
| "waypoint": { |
| "lat": -37.8318, |
| "lon": 140.77919, |
| "name": "Mount Gambier" |
| }, |
| "question": "Is Mount Gambier approximately on the direct path from Hua Hin to Bayt Ḩanīnā?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 6899.4, |
| "via_waypoint_km": 20403.1, |
| "detour_km": 13503.7, |
| "detour_percent": 195.7 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Hua Hin", |
| " End: Bayt Ḩanīnā", |
| " Waypoint: Mount Gambier", |
| "Step 2: Calculate direct distance", |
| " Start → End: 6899.4 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 20403.1 km", |
| "Step 4: Calculate detour", |
| " Detour = 20403.1 - 6899.4 = 13503.7 km", |
| " Detour % = (13503.7 / 6899.4) × 100 = 195.7%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 195.7% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": -17.82772, |
| "lon": 31.05337, |
| "name": "Harare" |
| }, |
| "end": { |
| "lat": 26.34992, |
| "lon": 84.87086, |
| "name": "Kesariyā" |
| }, |
| "waypoint": { |
| "lat": 51.96056, |
| "lon": 85.91892, |
| "name": "Gorno-Altaysk" |
| }, |
| "question": "Is Gorno-Altaysk approximately on the direct path from Harare to Kesariyā?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 7608.4, |
| "via_waypoint_km": 12241.1, |
| "detour_km": 4632.7, |
| "detour_percent": 60.9 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Harare", |
| " End: Kesariyā", |
| " Waypoint: Gorno-Altaysk", |
| "Step 2: Calculate direct distance", |
| " Start → End: 7608.4 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 12241.1 km", |
| "Step 4: Calculate detour", |
| " Detour = 12241.1 - 7608.4 = 4632.7 km", |
| " Detour % = (4632.7 / 7608.4) × 100 = 60.9%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 60.9% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 5.42164, |
| "lon": -75.70318, |
| "name": "Riosucio" |
| }, |
| "end": { |
| "lat": 8.69625, |
| "lon": -69.20832, |
| "name": "Guanarito" |
| }, |
| "waypoint": { |
| "lat": 40.10056, |
| "lon": 124.39806, |
| "name": "Sinŭiju" |
| }, |
| "question": "Is Sinŭiju approximately on the direct path from Riosucio to Guanarito?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 803.8, |
| "via_waypoint_km": 28962.8, |
| "detour_km": 28159.0, |
| "detour_percent": 3503.2 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Riosucio", |
| " End: Guanarito", |
| " Waypoint: Sinŭiju", |
| "Step 2: Calculate direct distance", |
| " Start → End: 803.8 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 28962.8 km", |
| "Step 4: Calculate detour", |
| " Detour = 28962.8 - 803.8 = 28159.0 km", |
| " Detour % = (28159.0 / 803.8) × 100 = 3503.2%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 3503.2% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 8.9, |
| "lon": 39.91667, |
| "name": "Metahāra" |
| }, |
| "end": { |
| "lat": -1.24857, |
| "lon": 29.98993, |
| "name": "Kabale" |
| }, |
| "waypoint": { |
| "lat": 29.12125, |
| "lon": 78.62273, |
| "name": "Sahaspur" |
| }, |
| "question": "Is Sahaspur approximately on the direct path from Metahāra to Kabale?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 1575.8, |
| "via_waypoint_km": 10785.9, |
| "detour_km": 9210.1, |
| "detour_percent": 584.5 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Metahāra", |
| " End: Kabale", |
| " Waypoint: Sahaspur", |
| "Step 2: Calculate direct distance", |
| " Start → End: 1575.8 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 10785.9 km", |
| "Step 4: Calculate detour", |
| " Detour = 10785.9 - 1575.8 = 9210.1 km", |
| " Detour % = (9210.1 / 1575.8) × 100 = 584.5%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 584.5% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 39.55228, |
| "lon": -84.23327, |
| "name": "Springboro" |
| }, |
| "end": { |
| "lat": 6.96321, |
| "lon": -75.41738, |
| "name": "Yarumal" |
| }, |
| "waypoint": { |
| "lat": 50.91877, |
| "lon": -1.49037, |
| "name": "Totton" |
| }, |
| "question": "Is Totton approximately on the direct path from Springboro to Yarumal?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 3729.3, |
| "via_waypoint_km": 14536.9, |
| "detour_km": 10807.6, |
| "detour_percent": 289.8 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Springboro", |
| " End: Yarumal", |
| " Waypoint: Totton", |
| "Step 2: Calculate direct distance", |
| " Start → End: 3729.3 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 14536.9 km", |
| "Step 4: Calculate detour", |
| " Detour = 14536.9 - 3729.3 = 10807.6 km", |
| " Detour % = (10807.6 / 3729.3) × 100 = 289.8%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 289.8% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 31.76667, |
| "lon": 104.71667, |
| "name": "Jiangyou" |
| }, |
| "end": { |
| "lat": 19.42793, |
| "lon": 93.55134, |
| "name": "Kyaukpyu" |
| }, |
| "waypoint": { |
| "lat": 34.89044, |
| "lon": 135.80325, |
| "name": "Uji" |
| }, |
| "question": "Is Uji approximately on the direct path from Jiangyou to Kyaukpyu?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 1768.4, |
| "via_waypoint_km": 7376.8, |
| "detour_km": 5608.5, |
| "detour_percent": 317.2 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Jiangyou", |
| " End: Kyaukpyu", |
| " Waypoint: Uji", |
| "Step 2: Calculate direct distance", |
| " Start → End: 1768.4 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 7376.8 km", |
| "Step 4: Calculate detour", |
| " Detour = 7376.8 - 1768.4 = 5608.5 km", |
| " Detour % = (5608.5 / 1768.4) × 100 = 317.2%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 317.2% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 34.2706, |
| "lon": 134.13074, |
| "name": "Hiragi" |
| }, |
| "end": { |
| "lat": 59.36588, |
| "lon": 17.99569, |
| "name": "Råsunda" |
| }, |
| "waypoint": { |
| "lat": 49.89738, |
| "lon": 8.84613, |
| "name": "Dieburg" |
| }, |
| "question": "Is Dieburg approximately on the direct path from Hiragi to Råsunda?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 8072.8, |
| "via_waypoint_km": 10424.4, |
| "detour_km": 2351.5, |
| "detour_percent": 29.1 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Hiragi", |
| " End: Råsunda", |
| " Waypoint: Dieburg", |
| "Step 2: Calculate direct distance", |
| " Start → End: 8072.8 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 10424.4 km", |
| "Step 4: Calculate detour", |
| " Detour = 10424.4 - 8072.8 = 2351.5 km", |
| " Detour % = (2351.5 / 8072.8) × 100 = 29.1%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 29.1% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 53.23235, |
| "lon": 6.56804, |
| "name": "Korrewegwijk" |
| }, |
| "end": { |
| "lat": 56.06541, |
| "lon": 85.62179, |
| "name": "Tayga" |
| }, |
| "waypoint": { |
| "lat": 33.71399, |
| "lon": 130.4313, |
| "name": "Shingū" |
| }, |
| "question": "Is Shingū approximately on the direct path from Korrewegwijk to Tayga?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 4811.9, |
| "via_waypoint_km": 13142.6, |
| "detour_km": 8330.7, |
| "detour_percent": 173.1 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Korrewegwijk", |
| " End: Tayga", |
| " Waypoint: Shingū", |
| "Step 2: Calculate direct distance", |
| " Start → End: 4811.9 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 13142.6 km", |
| "Step 4: Calculate detour", |
| " Detour = 13142.6 - 4811.9 = 8330.7 km", |
| " Detour % = (8330.7 / 4811.9) × 100 = 173.1%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 173.1% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 5.01806, |
| "lon": -1.66437, |
| "name": "Shama Junction" |
| }, |
| "end": { |
| "lat": -22.48194, |
| "lon": -47.45667, |
| "name": "Cordeirópolis" |
| }, |
| "waypoint": { |
| "lat": 2.46146, |
| "lon": 101.85951, |
| "name": "Kampung Teluk Kemang" |
| }, |
| "question": "Is Kampung Teluk Kemang approximately on the direct path from Shama Junction to Cordeirópolis?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 5841.0, |
| "via_waypoint_km": 27505.7, |
| "detour_km": 21664.7, |
| "detour_percent": 370.9 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Shama Junction", |
| " End: Cordeirópolis", |
| " Waypoint: Kampung Teluk Kemang", |
| "Step 2: Calculate direct distance", |
| " Start → End: 5841.0 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 27505.7 km", |
| "Step 4: Calculate detour", |
| " Detour = 27505.7 - 5841.0 = 21664.7 km", |
| " Detour % = (21664.7 / 5841.0) × 100 = 370.9%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 370.9% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 59.47944, |
| "lon": 18.29967, |
| "name": "Åkersberga" |
| }, |
| "end": { |
| "lat": 40.73002, |
| "lon": -73.8234, |
| "name": "Kew Gardens Hills" |
| }, |
| "waypoint": { |
| "lat": 41.04422, |
| "lon": -83.64993, |
| "name": "Findlay" |
| }, |
| "question": "Is Findlay approximately on the direct path from Åkersberga to Kew Gardens Hills?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 6313.8, |
| "via_waypoint_km": 7598.0, |
| "detour_km": 1284.2, |
| "detour_percent": 20.3 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Åkersberga", |
| " End: Kew Gardens Hills", |
| " Waypoint: Findlay", |
| "Step 2: Calculate direct distance", |
| " Start → End: 6313.8 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 7598.0 km", |
| "Step 4: Calculate detour", |
| " Detour = 7598.0 - 6313.8 = 1284.2 km", |
| " Detour % = (1284.2 / 6313.8) × 100 = 20.3%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 20.3% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 41.97587, |
| "lon": -87.68922, |
| "name": "Lincoln Square" |
| }, |
| "end": { |
| "lat": 52.22843, |
| "lon": 17.27617, |
| "name": "Środa Wielkopolska" |
| }, |
| "waypoint": { |
| "lat": 47.38993, |
| "lon": 35.00065, |
| "name": "Dniprorudne" |
| }, |
| "question": "Is Dniprorudne approximately on the direct path from Lincoln Square to Środa Wielkopolska?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 7308.5, |
| "via_waypoint_km": 9968.2, |
| "detour_km": 2659.6, |
| "detour_percent": 36.4 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Lincoln Square", |
| " End: Środa Wielkopolska", |
| " Waypoint: Dniprorudne", |
| "Step 2: Calculate direct distance", |
| " Start → End: 7308.5 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 9968.2 km", |
| "Step 4: Calculate detour", |
| " Detour = 9968.2 - 7308.5 = 2659.6 km", |
| " Detour % = (2659.6 / 7308.5) × 100 = 36.4%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 36.4% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 52.0, |
| "lon": 8.4, |
| "name": "Steinhagen" |
| }, |
| "end": { |
| "lat": 51.52274, |
| "lon": 0.43422, |
| "name": "Stanford-le-Hope" |
| }, |
| "waypoint": { |
| "lat": -25.54073, |
| "lon": 152.70493, |
| "name": "Maryborough" |
| }, |
| "question": "Is Maryborough approximately on the direct path from Steinhagen to Stanford-le-Hope?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 550.5, |
| "via_waypoint_km": 32116.3, |
| "detour_km": 31565.7, |
| "detour_percent": 5733.9 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Steinhagen", |
| " End: Stanford-le-Hope", |
| " Waypoint: Maryborough", |
| "Step 2: Calculate direct distance", |
| " Start → End: 550.5 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 32116.3 km", |
| "Step 4: Calculate detour", |
| " Detour = 32116.3 - 550.5 = 31565.7 km", |
| " Detour % = (31565.7 / 550.5) × 100 = 5733.9%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 5733.9% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 34.92129, |
| "lon": -1.29512, |
| "name": "Chetouane" |
| }, |
| "end": { |
| "lat": 0.89444, |
| "lon": 33.49944, |
| "name": "Kaliro" |
| }, |
| "waypoint": { |
| "lat": 18.46707, |
| "lon": -69.89339, |
| "name": "Ciudad Nueva" |
| }, |
| "question": "Is Ciudad Nueva approximately on the direct path from Chetouane to Kaliro?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 5224.5, |
| "via_waypoint_km": 18311.7, |
| "detour_km": 13087.3, |
| "detour_percent": 250.5 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Chetouane", |
| " End: Kaliro", |
| " Waypoint: Ciudad Nueva", |
| "Step 2: Calculate direct distance", |
| " Start → End: 5224.5 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 18311.7 km", |
| "Step 4: Calculate detour", |
| " Detour = 18311.7 - 5224.5 = 13087.3 km", |
| " Detour % = (13087.3 / 5224.5) × 100 = 250.5%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 250.5% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 12.17864, |
| "lon": -0.35103, |
| "name": "Koupéla" |
| }, |
| "end": { |
| "lat": -16.66667, |
| "lon": 46.1, |
| "name": "Sitampiky" |
| }, |
| "waypoint": { |
| "lat": 37.33939, |
| "lon": -121.89496, |
| "name": "San Jose" |
| }, |
| "question": "Is San Jose approximately on the direct path from Koupéla to Sitampiky?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 6029.0, |
| "via_waypoint_km": 29238.9, |
| "detour_km": 23209.9, |
| "detour_percent": 385.0 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Koupéla", |
| " End: Sitampiky", |
| " Waypoint: San Jose", |
| "Step 2: Calculate direct distance", |
| " Start → End: 6029.0 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 29238.9 km", |
| "Step 4: Calculate detour", |
| " Detour = 29238.9 - 6029.0 = 23209.9 km", |
| " Detour % = (23209.9 / 6029.0) × 100 = 385.0%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 385.0% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 42.22487, |
| "lon": -121.78167, |
| "name": "Klamath Falls" |
| }, |
| "end": { |
| "lat": 20.4925, |
| "lon": -103.4175, |
| "name": "Lomas del Sur" |
| }, |
| "waypoint": { |
| "lat": 39.80276, |
| "lon": -105.08748, |
| "name": "Arvada" |
| }, |
| "question": "Is Arvada approximately on the direct path from Klamath Falls to Lomas del Sur?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 2965.7, |
| "via_waypoint_km": 3577.0, |
| "detour_km": 611.3, |
| "detour_percent": 20.6 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Klamath Falls", |
| " End: Lomas del Sur", |
| " Waypoint: Arvada", |
| "Step 2: Calculate direct distance", |
| " Start → End: 2965.7 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 3577.0 km", |
| "Step 4: Calculate detour", |
| " Detour = 3577.0 - 2965.7 = 611.3 km", |
| " Detour % = (611.3 / 2965.7) × 100 = 20.6%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 20.6% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": -37.8318, |
| "lon": 140.77919, |
| "name": "Mount Gambier" |
| }, |
| "end": { |
| "lat": -43.58333, |
| "lon": 172.38333, |
| "name": "Rolleston" |
| }, |
| "waypoint": { |
| "lat": 47.09993, |
| "lon": 6.82586, |
| "name": "La Chaux-de-Fonds" |
| }, |
| "question": "Is La Chaux-de-Fonds approximately on the direct path from Mount Gambier to Rolleston?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 2721.9, |
| "via_waypoint_km": 34982.8, |
| "detour_km": 32260.9, |
| "detour_percent": 1185.2 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Mount Gambier", |
| " End: Rolleston", |
| " Waypoint: La Chaux-de-Fonds", |
| "Step 2: Calculate direct distance", |
| " Start → End: 2721.9 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 34982.8 km", |
| "Step 4: Calculate detour", |
| " Detour = 34982.8 - 2721.9 = 32260.9 km", |
| " Detour % = (32260.9 / 2721.9) × 100 = 1185.2%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 1185.2% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 5.71801, |
| "lon": 19.07389, |
| "name": "Sibut" |
| }, |
| "end": { |
| "lat": 4.25833, |
| "lon": -73.56142, |
| "name": "Restrepo" |
| }, |
| "waypoint": { |
| "lat": 46.0, |
| "lon": 26.13333, |
| "name": "Târgu Secuiesc" |
| }, |
| "question": "Is Târgu Secuiesc approximately on the direct path from Sibut to Restrepo?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 10251.1, |
| "via_waypoint_km": 14941.3, |
| "detour_km": 4690.1, |
| "detour_percent": 45.8 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Sibut", |
| " End: Restrepo", |
| " Waypoint: Târgu Secuiesc", |
| "Step 2: Calculate direct distance", |
| " Start → End: 10251.1 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 14941.3 km", |
| "Step 4: Calculate detour", |
| " Detour = 14941.3 - 10251.1 = 4690.1 km", |
| " Detour % = (4690.1 / 10251.1) × 100 = 45.8%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 45.8% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 50.4, |
| "lon": 1.6, |
| "name": "Berck" |
| }, |
| "end": { |
| "lat": 10.9804, |
| "lon": 106.6519, |
| "name": "Thủ Dầu Một" |
| }, |
| "waypoint": { |
| "lat": 0.4, |
| "lon": 32.63333, |
| "name": "Kira" |
| }, |
| "question": "Is Kira approximately on the direct path from Berck to Thủ Dầu Một?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 10107.8, |
| "via_waypoint_km": 14540.6, |
| "detour_km": 4432.7, |
| "detour_percent": 43.9 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Berck", |
| " End: Thủ Dầu Một", |
| " Waypoint: Kira", |
| "Step 2: Calculate direct distance", |
| " Start → End: 10107.8 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 14540.6 km", |
| "Step 4: Calculate detour", |
| " Detour = 14540.6 - 10107.8 = 4432.7 km", |
| " Detour % = (4432.7 / 10107.8) × 100 = 43.9%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 43.9% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 26.47703, |
| "lon": 90.55815, |
| "name": "Bongaigaon" |
| }, |
| "end": { |
| "lat": 31.09407, |
| "lon": 105.08731, |
| "name": "Tongchuan" |
| }, |
| "waypoint": { |
| "lat": -27.62563, |
| "lon": 152.96883, |
| "name": "Forest Lake" |
| }, |
| "question": "Is Forest Lake approximately on the direct path from Bongaigaon to Tongchuan?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 1504.6, |
| "via_waypoint_km": 17250.1, |
| "detour_km": 15745.5, |
| "detour_percent": 1046.5 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Bongaigaon", |
| " End: Tongchuan", |
| " Waypoint: Forest Lake", |
| "Step 2: Calculate direct distance", |
| " Start → End: 1504.6 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 17250.1 km", |
| "Step 4: Calculate detour", |
| " Detour = 17250.1 - 1504.6 = 15745.5 km", |
| " Detour % = (15745.5 / 1504.6) × 100 = 1046.5%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 1046.5% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 39.06983, |
| "lon": -76.85025, |
| "name": "South Laurel" |
| }, |
| "end": { |
| "lat": 16.47667, |
| "lon": -15.6, |
| "name": "Dagana" |
| }, |
| "waypoint": { |
| "lat": 38.2278, |
| "lon": 27.96955, |
| "name": "Ödemiş" |
| }, |
| "question": "Is Ödemiş approximately on the direct path from South Laurel to Dagana?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 6397.1, |
| "via_waypoint_km": 13377.3, |
| "detour_km": 6980.2, |
| "detour_percent": 109.1 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: South Laurel", |
| " End: Dagana", |
| " Waypoint: Ödemiş", |
| "Step 2: Calculate direct distance", |
| " Start → End: 6397.1 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 13377.3 km", |
| "Step 4: Calculate detour", |
| " Detour = 13377.3 - 6397.1 = 6980.2 km", |
| " Detour % = (6980.2 / 6397.1) × 100 = 109.1%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 109.1% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 11.75618, |
| "lon": 9.33896, |
| "name": "Dutse" |
| }, |
| "end": { |
| "lat": 12.57329, |
| "lon": -8.02907, |
| "name": "Kalaban Koro" |
| }, |
| "waypoint": { |
| "lat": -26.35917, |
| "lon": -52.85111, |
| "name": "São Lourenço do Oeste" |
| }, |
| "question": "Is São Lourenço do Oeste approximately on the direct path from Dutse to Kalaban Koro?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 1889.7, |
| "via_waypoint_km": 14436.6, |
| "detour_km": 12546.9, |
| "detour_percent": 664.0 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Dutse", |
| " End: Kalaban Koro", |
| " Waypoint: São Lourenço do Oeste", |
| "Step 2: Calculate direct distance", |
| " Start → End: 1889.7 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 14436.6 km", |
| "Step 4: Calculate detour", |
| " Detour = 14436.6 - 1889.7 = 12546.9 km", |
| " Detour % = (12546.9 / 1889.7) × 100 = 664.0%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 664.0% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 33.16262, |
| "lon": -96.93751, |
| "name": "Little Elm" |
| }, |
| "end": { |
| "lat": 41.57721, |
| "lon": -93.71133, |
| "name": "West Des Moines" |
| }, |
| "waypoint": { |
| "lat": -25.05194, |
| "lon": 33.64417, |
| "name": "Xai-Xai" |
| }, |
| "question": "Is Xai-Xai approximately on the direct path from Little Elm to West Des Moines?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 977.9, |
| "via_waypoint_km": 30052.8, |
| "detour_km": 29074.8, |
| "detour_percent": 2973.1 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Little Elm", |
| " End: West Des Moines", |
| " Waypoint: Xai-Xai", |
| "Step 2: Calculate direct distance", |
| " Start → End: 977.9 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 30052.8 km", |
| "Step 4: Calculate detour", |
| " Detour = 30052.8 - 977.9 = 29074.8 km", |
| " Detour % = (29074.8 / 977.9) × 100 = 2973.1%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 2973.1% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 26.47079, |
| "lon": 85.70311, |
| "name": "Pupri" |
| }, |
| "end": { |
| "lat": -37.81992, |
| "lon": 145.0358, |
| "name": "Hawthorn" |
| }, |
| "waypoint": { |
| "lat": 12.87398, |
| "lon": 11.04057, |
| "name": "Gashua" |
| }, |
| "question": "Is Gashua approximately on the direct path from Pupri to Hawthorn?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 9450.3, |
| "via_waypoint_km": 22562.3, |
| "detour_km": 13112.0, |
| "detour_percent": 138.7 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Pupri", |
| " End: Hawthorn", |
| " Waypoint: Gashua", |
| "Step 2: Calculate direct distance", |
| " Start → End: 9450.3 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 22562.3 km", |
| "Step 4: Calculate detour", |
| " Detour = 22562.3 - 9450.3 = 13112.0 km", |
| " Detour % = (13112.0 / 9450.3) × 100 = 138.7%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 138.7% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 34.86667, |
| "lon": 138.26667, |
| "name": "Fujieda" |
| }, |
| "end": { |
| "lat": 19.30023, |
| "lon": 73.05881, |
| "name": "Bhiwandi" |
| }, |
| "waypoint": { |
| "lat": 11.1825, |
| "lon": -0.63222, |
| "name": "Zabré" |
| }, |
| "question": "Is Zabré approximately on the direct path from Fujieda to Bhiwandi?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 6570.7, |
| "via_waypoint_km": 21216.3, |
| "detour_km": 14645.6, |
| "detour_percent": 222.9 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Fujieda", |
| " End: Bhiwandi", |
| " Waypoint: Zabré", |
| "Step 2: Calculate direct distance", |
| " Start → End: 6570.7 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 21216.3 km", |
| "Step 4: Calculate detour", |
| " Detour = 21216.3 - 6570.7 = 14645.6 km", |
| " Detour % = (14645.6 / 6570.7) × 100 = 222.9%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 222.9% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 48.59479, |
| "lon": 17.82591, |
| "name": "Piešťany" |
| }, |
| "end": { |
| "lat": 55.72445, |
| "lon": 38.20908, |
| "name": "Elektrougli" |
| }, |
| "waypoint": { |
| "lat": 38.91144, |
| "lon": -90.15066, |
| "name": "Upper Alton" |
| }, |
| "question": "Is Upper Alton approximately on the direct path from Piešťany to Elektrougli?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 1591.9, |
| "via_waypoint_km": 16401.0, |
| "detour_km": 14809.1, |
| "detour_percent": 930.3 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Piešťany", |
| " End: Elektrougli", |
| " Waypoint: Upper Alton", |
| "Step 2: Calculate direct distance", |
| " Start → End: 1591.9 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 16401.0 km", |
| "Step 4: Calculate detour", |
| " Detour = 16401.0 - 1591.9 = 14809.1 km", |
| " Detour % = (14809.1 / 1591.9) × 100 = 930.3%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 930.3% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 61.61945, |
| "lon": 72.15546, |
| "name": "Lyantor" |
| }, |
| "end": { |
| "lat": 11.78935, |
| "lon": 7.62061, |
| "name": "Malumfashi" |
| }, |
| "waypoint": { |
| "lat": -17.63333, |
| "lon": -149.6, |
| "name": "Punaauia" |
| }, |
| "question": "Is Punaauia approximately on the direct path from Lyantor to Malumfashi?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 7525.4, |
| "via_waypoint_km": 31625.5, |
| "detour_km": 24100.1, |
| "detour_percent": 320.2 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Lyantor", |
| " End: Malumfashi", |
| " Waypoint: Punaauia", |
| "Step 2: Calculate direct distance", |
| " Start → End: 7525.4 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 31625.5 km", |
| "Step 4: Calculate detour", |
| " Detour = 31625.5 - 7525.4 = 24100.1 km", |
| " Detour % = (24100.1 / 7525.4) × 100 = 320.2%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 320.2% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 51.18035, |
| "lon": 14.43494, |
| "name": "Bautzen" |
| }, |
| "end": { |
| "lat": -24.22083, |
| "lon": -48.76556, |
| "name": "Ribeirão Branco" |
| }, |
| "waypoint": { |
| "lat": -7.77833, |
| "lon": -39.94111, |
| "name": "Bodocó" |
| }, |
| "question": "Is Bodocó approximately on the direct path from Bautzen to Ribeirão Branco?", |
| "ground_truth": { |
| "answer": true, |
| "direct_distance_km": 10402.0, |
| "via_waypoint_km": 10411.5, |
| "detour_km": 9.4, |
| "detour_percent": 0.1 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Bautzen", |
| " End: Ribeirão Branco", |
| " Waypoint: Bodocó", |
| "Step 2: Calculate direct distance", |
| " Start → End: 10402.0 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 10411.5 km", |
| "Step 4: Calculate detour", |
| " Detour = 10411.5 - 10402.0 = 9.4 km", |
| " Detour % = (9.4 / 10402.0) × 100 = 0.1%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 0.1% < 10%", |
| "FINAL ANSWER: Yes" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 29.07441, |
| "lon": 31.09785, |
| "name": "Banī Suwayf" |
| }, |
| "end": { |
| "lat": 30.82589, |
| "lon": 108.02866, |
| "name": "Houshan" |
| }, |
| "waypoint": { |
| "lat": 42.3876, |
| "lon": -71.00366, |
| "name": "Orient Heights" |
| }, |
| "question": "Is Orient Heights approximately on the direct path from Banī Suwayf to Houshan?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 7255.0, |
| "via_waypoint_km": 20648.5, |
| "detour_km": 13393.5, |
| "detour_percent": 184.6 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Banī Suwayf", |
| " End: Houshan", |
| " Waypoint: Orient Heights", |
| "Step 2: Calculate direct distance", |
| " Start → End: 7255.0 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 20648.5 km", |
| "Step 4: Calculate detour", |
| " Detour = 20648.5 - 7255.0 = 13393.5 km", |
| " Detour % = (13393.5 / 7255.0) × 100 = 184.6%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 184.6% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 21.28906, |
| "lon": -157.71734, |
| "name": "East Honolulu" |
| }, |
| "end": { |
| "lat": 41.10565, |
| "lon": -73.39845, |
| "name": "East Norwalk" |
| }, |
| "waypoint": { |
| "lat": 22.16139, |
| "lon": 113.55639, |
| "name": "Zhuojiacun" |
| }, |
| "question": "Is Zhuojiacun approximately on the direct path from East Honolulu to East Norwalk?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 8011.5, |
| "via_waypoint_km": 21952.2, |
| "detour_km": 13940.7, |
| "detour_percent": 174.0 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: East Honolulu", |
| " End: East Norwalk", |
| " Waypoint: Zhuojiacun", |
| "Step 2: Calculate direct distance", |
| " Start → End: 8011.5 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 21952.2 km", |
| "Step 4: Calculate detour", |
| " Detour = 21952.2 - 8011.5 = 13940.7 km", |
| " Detour % = (13940.7 / 8011.5) × 100 = 174.0%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 174.0% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 9.55451, |
| "lon": -69.19564, |
| "name": "Acarigua" |
| }, |
| "end": { |
| "lat": 34.95303, |
| "lon": -120.43572, |
| "name": "Santa Maria" |
| }, |
| "waypoint": { |
| "lat": 52.34006, |
| "lon": 21.24207, |
| "name": "Wołomin" |
| }, |
| "question": "Is Wołomin approximately on the direct path from Acarigua to Santa Maria?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 5899.0, |
| "via_waypoint_km": 18818.3, |
| "detour_km": 12919.3, |
| "detour_percent": 219.0 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Acarigua", |
| " End: Santa Maria", |
| " Waypoint: Wołomin", |
| "Step 2: Calculate direct distance", |
| " Start → End: 5899.0 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 18818.3 km", |
| "Step 4: Calculate detour", |
| " Detour = 18818.3 - 5899.0 = 12919.3 km", |
| " Detour % = (12919.3 / 5899.0) × 100 = 219.0%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 219.0% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": -37.76722, |
| "lon": 144.76657, |
| "name": "Deer Park" |
| }, |
| "end": { |
| "lat": 51.84034, |
| "lon": 16.57494, |
| "name": "Leszno" |
| }, |
| "waypoint": { |
| "lat": 12.59371, |
| "lon": 6.58648, |
| "name": "Kaura Namoda" |
| }, |
| "question": "Is Kaura Namoda approximately on the direct path from Deer Park to Leszno?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 15743.8, |
| "via_waypoint_km": 19479.0, |
| "detour_km": 3735.2, |
| "detour_percent": 23.7 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Deer Park", |
| " End: Leszno", |
| " Waypoint: Kaura Namoda", |
| "Step 2: Calculate direct distance", |
| " Start → End: 15743.8 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 19479.0 km", |
| "Step 4: Calculate detour", |
| " Detour = 19479.0 - 15743.8 = 3735.2 km", |
| " Detour % = (3735.2 / 15743.8) × 100 = 23.7%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 23.7% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 50.59883, |
| "lon": 3.09056, |
| "name": "Ronchin" |
| }, |
| "end": { |
| "lat": 43.03834, |
| "lon": 19.74758, |
| "name": "Bijelo Polje" |
| }, |
| "waypoint": { |
| "lat": 37.65042, |
| "lon": -77.61249, |
| "name": "Short Pump" |
| }, |
| "question": "Is Short Pump approximately on the direct path from Ronchin to Bijelo Polje?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 1515.6, |
| "via_waypoint_km": 14051.5, |
| "detour_km": 12535.9, |
| "detour_percent": 827.1 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Ronchin", |
| " End: Bijelo Polje", |
| " Waypoint: Short Pump", |
| "Step 2: Calculate direct distance", |
| " Start → End: 1515.6 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 14051.5 km", |
| "Step 4: Calculate detour", |
| " Detour = 14051.5 - 1515.6 = 12535.9 km", |
| " Detour % = (12535.9 / 1515.6) × 100 = 827.1%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 827.1% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": -33.74585, |
| "lon": -61.96711, |
| "name": "Venado Tuerto" |
| }, |
| "end": { |
| "lat": 33.91724, |
| "lon": -118.01201, |
| "name": "La Mirada" |
| }, |
| "waypoint": { |
| "lat": -38.17058, |
| "lon": 144.3114, |
| "name": "Highton" |
| }, |
| "question": "Is Highton approximately on the direct path from Venado Tuerto to La Mirada?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 9526.5, |
| "via_waypoint_km": 24423.8, |
| "detour_km": 14897.3, |
| "detour_percent": 156.4 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Venado Tuerto", |
| " End: La Mirada", |
| " Waypoint: Highton", |
| "Step 2: Calculate direct distance", |
| " Start → End: 9526.5 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 24423.8 km", |
| "Step 4: Calculate detour", |
| " Detour = 24423.8 - 9526.5 = 14897.3 km", |
| " Detour % = (14897.3 / 9526.5) × 100 = 156.4%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 156.4% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 26.00315, |
| "lon": -80.22394, |
| "name": "Pembroke Pines" |
| }, |
| "end": { |
| "lat": 45.03333, |
| "lon": 25.85, |
| "name": "Băicoi" |
| }, |
| "waypoint": { |
| "lat": 35.24972, |
| "lon": 128.52, |
| "name": "Naesŏ" |
| }, |
| "question": "Is Naesŏ approximately on the direct path from Pembroke Pines to Băicoi?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 9149.1, |
| "via_waypoint_km": 20751.3, |
| "detour_km": 11602.2, |
| "detour_percent": 126.8 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Pembroke Pines", |
| " End: Băicoi", |
| " Waypoint: Naesŏ", |
| "Step 2: Calculate direct distance", |
| " Start → End: 9149.1 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 20751.3 km", |
| "Step 4: Calculate detour", |
| " Detour = 20751.3 - 9149.1 = 11602.2 km", |
| " Detour % = (11602.2 / 9149.1) × 100 = 126.8%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 126.8% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 34.74807, |
| "lon": 134.91284, |
| "name": "Inami" |
| }, |
| "end": { |
| "lat": -11.66278, |
| "lon": 39.55056, |
| "name": "Mueda" |
| }, |
| "waypoint": { |
| "lat": 55.6254, |
| "lon": 37.65032, |
| "name": "Tsaritsyno" |
| }, |
| "question": "Is Tsaritsyno approximately on the direct path from Inami to Mueda?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 11228.2, |
| "via_waypoint_km": 14787.8, |
| "detour_km": 3559.6, |
| "detour_percent": 31.7 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Inami", |
| " End: Mueda", |
| " Waypoint: Tsaritsyno", |
| "Step 2: Calculate direct distance", |
| " Start → End: 11228.2 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 14787.8 km", |
| "Step 4: Calculate detour", |
| " Detour = 14787.8 - 11228.2 = 3559.6 km", |
| " Detour % = (3559.6 / 11228.2) × 100 = 31.7%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 31.7% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": -8.85, |
| "lon": 34.83333, |
| "name": "Makumbako" |
| }, |
| "end": { |
| "lat": -0.70111, |
| "lon": 30.49389, |
| "name": "Kinoni" |
| }, |
| "waypoint": { |
| "lat": -9.01222, |
| "lon": -35.2225, |
| "name": "Maragogi" |
| }, |
| "question": "Is Maragogi approximately on the direct path from Makumbako to Kinoni?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 1025.6, |
| "via_waypoint_km": 15011.5, |
| "detour_km": 13985.9, |
| "detour_percent": 1363.7 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Makumbako", |
| " End: Kinoni", |
| " Waypoint: Maragogi", |
| "Step 2: Calculate direct distance", |
| " Start → End: 1025.6 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 15011.5 km", |
| "Step 4: Calculate detour", |
| " Detour = 15011.5 - 1025.6 = 13985.9 km", |
| " Detour % = (13985.9 / 1025.6) × 100 = 1363.7%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 1363.7% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 40.42548, |
| "lon": -111.79447, |
| "name": "Highland" |
| }, |
| "end": { |
| "lat": 0.4, |
| "lon": 32.63333, |
| "name": "Kira" |
| }, |
| "waypoint": { |
| "lat": -17.79806, |
| "lon": -50.92806, |
| "name": "Rio Verde" |
| }, |
| "question": "Is Rio Verde approximately on the direct path from Highland to Kira?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 14224.7, |
| "via_waypoint_km": 18357.9, |
| "detour_km": 4133.1, |
| "detour_percent": 29.1 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Highland", |
| " End: Kira", |
| " Waypoint: Rio Verde", |
| "Step 2: Calculate direct distance", |
| " Start → End: 14224.7 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 18357.9 km", |
| "Step 4: Calculate detour", |
| " Detour = 18357.9 - 14224.7 = 4133.1 km", |
| " Detour % = (4133.1 / 14224.7) × 100 = 29.1%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 29.1% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 43.67323, |
| "lon": 7.19, |
| "name": "Saint-Laurent-du-Var" |
| }, |
| "end": { |
| "lat": 49.94782, |
| "lon": 11.57893, |
| "name": "Bayreuth" |
| }, |
| "waypoint": { |
| "lat": 47.09993, |
| "lon": 6.82586, |
| "name": "La Chaux-de-Fonds" |
| }, |
| "question": "Is La Chaux-de-Fonds approximately on the direct path from Saint-Laurent-du-Var to Bayreuth?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 773.2, |
| "via_waypoint_km": 853.9, |
| "detour_km": 80.7, |
| "detour_percent": 10.4 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Saint-Laurent-du-Var", |
| " End: Bayreuth", |
| " Waypoint: La Chaux-de-Fonds", |
| "Step 2: Calculate direct distance", |
| " Start → End: 773.2 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 853.9 km", |
| "Step 4: Calculate detour", |
| " Detour = 853.9 - 773.2 = 80.7 km", |
| " Detour % = (80.7 / 773.2) × 100 = 10.4%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 10.4% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 18.84577, |
| "lon": 79.46165, |
| "name": "Nāspur" |
| }, |
| "end": { |
| "lat": 7.09316, |
| "lon": 4.83528, |
| "name": "Ondo" |
| }, |
| "waypoint": { |
| "lat": -9.47723, |
| "lon": 147.15089, |
| "name": "Port Moresby" |
| }, |
| "question": "Is Port Moresby approximately on the direct path from Nāspur to Ondo?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 8140.6, |
| "via_waypoint_km": 23920.4, |
| "detour_km": 15779.8, |
| "detour_percent": 193.8 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Nāspur", |
| " End: Ondo", |
| " Waypoint: Port Moresby", |
| "Step 2: Calculate direct distance", |
| " Start → End: 8140.6 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 23920.4 km", |
| "Step 4: Calculate detour", |
| " Detour = 23920.4 - 8140.6 = 15779.8 km", |
| " Detour % = (15779.8 / 8140.6) × 100 = 193.8%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 193.8% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 42.13066, |
| "lon": -70.91616, |
| "name": "Rockland" |
| }, |
| "end": { |
| "lat": 25.81954, |
| "lon": -80.35533, |
| "name": "Doral" |
| }, |
| "waypoint": { |
| "lat": -38.0965, |
| "lon": 145.26707, |
| "name": "Cranbourne West" |
| }, |
| "question": "Is Cranbourne West approximately on the direct path from Rockland to Doral?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 2008.6, |
| "via_waypoint_km": 32477.8, |
| "detour_km": 30469.2, |
| "detour_percent": 1516.9 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Rockland", |
| " End: Doral", |
| " Waypoint: Cranbourne West", |
| "Step 2: Calculate direct distance", |
| " Start → End: 2008.6 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 32477.8 km", |
| "Step 4: Calculate detour", |
| " Detour = 32477.8 - 2008.6 = 30469.2 km", |
| " Detour % = (30469.2 / 2008.6) × 100 = 1516.9%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 1516.9% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 39.47581, |
| "lon": -8.54348, |
| "name": "Torres Novas" |
| }, |
| "end": { |
| "lat": -33.45694, |
| "lon": -70.64827, |
| "name": "Santiago" |
| }, |
| "waypoint": { |
| "lat": 17.50914, |
| "lon": -91.98125, |
| "name": "Palenque" |
| }, |
| "question": "Is Palenque approximately on the direct path from Torres Novas to Santiago?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 10321.1, |
| "via_waypoint_km": 14332.6, |
| "detour_km": 4011.5, |
| "detour_percent": 38.9 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Torres Novas", |
| " End: Santiago", |
| " Waypoint: Palenque", |
| "Step 2: Calculate direct distance", |
| " Start → End: 10321.1 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 14332.6 km", |
| "Step 4: Calculate detour", |
| " Detour = 14332.6 - 10321.1 = 4011.5 km", |
| " Detour % = (4011.5 / 10321.1) × 100 = 38.9%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 38.9% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": -42.87936, |
| "lon": 147.32941, |
| "name": "Hobart" |
| }, |
| "end": { |
| "lat": 44.97997, |
| "lon": -93.26384, |
| "name": "Minneapolis" |
| }, |
| "waypoint": { |
| "lat": 6.30054, |
| "lon": -10.7969, |
| "name": "Monrovia" |
| }, |
| "question": "Is Monrovia approximately on the direct path from Hobart to Minneapolis?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 15272.5, |
| "via_waypoint_km": 24337.2, |
| "detour_km": 9064.6, |
| "detour_percent": 59.4 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Hobart", |
| " End: Minneapolis", |
| " Waypoint: Monrovia", |
| "Step 2: Calculate direct distance", |
| " Start → End: 15272.5 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 24337.2 km", |
| "Step 4: Calculate detour", |
| " Detour = 24337.2 - 15272.5 = 9064.6 km", |
| " Detour % = (9064.6 / 15272.5) × 100 = 59.4%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 59.4% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 36.96134, |
| "lon": -120.06072, |
| "name": "Madera" |
| }, |
| "end": { |
| "lat": 26.45756, |
| "lon": 80.77403, |
| "name": "Purwā" |
| }, |
| "waypoint": { |
| "lat": -23.52272, |
| "lon": -46.835, |
| "name": "Carapicuíba" |
| }, |
| "question": "Is Carapicuíba approximately on the direct path from Madera to Purwā?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 12634.1, |
| "via_waypoint_km": 24950.2, |
| "detour_km": 12316.1, |
| "detour_percent": 97.5 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Madera", |
| " End: Purwā", |
| " Waypoint: Carapicuíba", |
| "Step 2: Calculate direct distance", |
| " Start → End: 12634.1 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 24950.2 km", |
| "Step 4: Calculate detour", |
| " Detour = 24950.2 - 12634.1 = 12316.1 km", |
| " Detour % = (12316.1 / 12634.1) × 100 = 97.5%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 97.5% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 48.04243, |
| "lon": 38.14728, |
| "name": "Khartsyzk" |
| }, |
| "end": { |
| "lat": 11.54444, |
| "lon": -72.90722, |
| "name": "Riohacha" |
| }, |
| "waypoint": { |
| "lat": -31.89578, |
| "lon": 115.76431, |
| "name": "Scarborough" |
| }, |
| "question": "Is Scarborough approximately on the direct path from Khartsyzk to Riohacha?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 10559.4, |
| "via_waypoint_km": 29341.1, |
| "detour_km": 18781.8, |
| "detour_percent": 177.9 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Khartsyzk", |
| " End: Riohacha", |
| " Waypoint: Scarborough", |
| "Step 2: Calculate direct distance", |
| " Start → End: 10559.4 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 29341.1 km", |
| "Step 4: Calculate detour", |
| " Detour = 29341.1 - 10559.4 = 18781.8 km", |
| " Detour % = (18781.8 / 10559.4) × 100 = 177.9%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 177.9% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 19.35529, |
| "lon": -99.06224, |
| "name": "Iztapalapa" |
| }, |
| "end": { |
| "lat": 45.09413, |
| "lon": -93.35634, |
| "name": "Brooklyn Park" |
| }, |
| "waypoint": { |
| "lat": 50.93275, |
| "lon": 7.28389, |
| "name": "Overath" |
| }, |
| "question": "Is Overath approximately on the direct path from Iztapalapa to Brooklyn Park?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 2910.1, |
| "via_waypoint_km": 16340.0, |
| "detour_km": 13429.9, |
| "detour_percent": 461.5 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Iztapalapa", |
| " End: Brooklyn Park", |
| " Waypoint: Overath", |
| "Step 2: Calculate direct distance", |
| " Start → End: 2910.1 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 16340.0 km", |
| "Step 4: Calculate detour", |
| " Detour = 16340.0 - 2910.1 = 13429.9 km", |
| " Detour % = (13429.9 / 2910.1) × 100 = 461.5%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 461.5% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 59.63937, |
| "lon": 33.52967, |
| "name": "Tikhvin" |
| }, |
| "end": { |
| "lat": 39.36389, |
| "lon": 117.06028, |
| "name": "Yangcun" |
| }, |
| "waypoint": { |
| "lat": 23.1959, |
| "lon": 86.51499, |
| "name": "Kenda" |
| }, |
| "question": "Is Kenda approximately on the direct path from Tikhvin to Yangcun?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 5976.9, |
| "via_waypoint_km": 9139.5, |
| "detour_km": 3162.7, |
| "detour_percent": 52.9 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Tikhvin", |
| " End: Yangcun", |
| " Waypoint: Kenda", |
| "Step 2: Calculate direct distance", |
| " Start → End: 5976.9 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 9139.5 km", |
| "Step 4: Calculate detour", |
| " Detour = 9139.5 - 5976.9 = 3162.7 km", |
| " Detour % = (3162.7 / 5976.9) × 100 = 52.9%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 52.9% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 54.13503, |
| "lon": 10.61148, |
| "name": "Eutin" |
| }, |
| "end": { |
| "lat": 56.86014, |
| "lon": 24.36544, |
| "name": "Salaspils" |
| }, |
| "waypoint": { |
| "lat": 32.62639, |
| "lon": 116.99694, |
| "name": "Huainan" |
| }, |
| "question": "Is Huainan approximately on the direct path from Eutin to Salaspils?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 915.9, |
| "via_waypoint_km": 15254.9, |
| "detour_km": 14339.0, |
| "detour_percent": 1565.6 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Eutin", |
| " End: Salaspils", |
| " Waypoint: Huainan", |
| "Step 2: Calculate direct distance", |
| " Start → End: 915.9 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 15254.9 km", |
| "Step 4: Calculate detour", |
| " Detour = 15254.9 - 915.9 = 14339.0 km", |
| " Detour % = (14339.0 / 915.9) × 100 = 1565.6%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 1565.6% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 21.19594, |
| "lon": 72.83023, |
| "name": "Surat" |
| }, |
| "end": { |
| "lat": 23.57769, |
| "lon": 58.39982, |
| "name": "Bawshar" |
| }, |
| "waypoint": { |
| "lat": -12.26667, |
| "lon": -38.96667, |
| "name": "Feira de Santana" |
| }, |
| "question": "Is Feira de Santana approximately on the direct path from Surat to Bawshar?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 1506.4, |
| "via_waypoint_km": 24023.9, |
| "detour_km": 22517.5, |
| "detour_percent": 1494.8 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Surat", |
| " End: Bawshar", |
| " Waypoint: Feira de Santana", |
| "Step 2: Calculate direct distance", |
| " Start → End: 1506.4 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 24023.9 km", |
| "Step 4: Calculate detour", |
| " Detour = 24023.9 - 1506.4 = 22517.5 km", |
| " Detour % = (22517.5 / 1506.4) × 100 = 1494.8%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 1494.8% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 21.53889, |
| "lon": 71.57737, |
| "name": "Gariadhar" |
| }, |
| "end": { |
| "lat": 18.88188, |
| "lon": -99.06715, |
| "name": "Yautepec" |
| }, |
| "waypoint": { |
| "lat": 45.36029, |
| "lon": 23.23832, |
| "name": "Lupeni" |
| }, |
| "question": "Is Lupeni approximately on the direct path from Gariadhar to Yautepec?", |
| "ground_truth": { |
| "answer": true, |
| "direct_distance_km": 15406.7, |
| "via_waypoint_km": 15912.2, |
| "detour_km": 505.6, |
| "detour_percent": 3.3 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Gariadhar", |
| " End: Yautepec", |
| " Waypoint: Lupeni", |
| "Step 2: Calculate direct distance", |
| " Start → End: 15406.7 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 15912.2 km", |
| "Step 4: Calculate detour", |
| " Detour = 15912.2 - 15406.7 = 505.6 km", |
| " Detour % = (505.6 / 15406.7) × 100 = 3.3%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 3.3% < 10%", |
| "FINAL ANSWER: Yes" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": -37.57742, |
| "lon": 144.72607, |
| "name": "Sunbury" |
| }, |
| "end": { |
| "lat": 40.34201, |
| "lon": 46.93161, |
| "name": "Terter" |
| }, |
| "waypoint": { |
| "lat": 42.60559, |
| "lon": -83.14993, |
| "name": "Troy" |
| }, |
| "question": "Is Troy approximately on the direct path from Sunbury to Terter?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 13173.3, |
| "via_waypoint_km": 25475.3, |
| "detour_km": 12302.1, |
| "detour_percent": 93.4 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Sunbury", |
| " End: Terter", |
| " Waypoint: Troy", |
| "Step 2: Calculate direct distance", |
| " Start → End: 13173.3 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 25475.3 km", |
| "Step 4: Calculate detour", |
| " Detour = 25475.3 - 13173.3 = 12302.1 km", |
| " Detour % = (12302.1 / 13173.3) × 100 = 93.4%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 93.4% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": -33.9125, |
| "lon": 151.10279, |
| "name": "Campsie" |
| }, |
| "end": { |
| "lat": 22.44123, |
| "lon": 114.06019, |
| "name": "Kam Tin" |
| }, |
| "waypoint": { |
| "lat": 27.05918, |
| "lon": 68.21022, |
| "name": "Kandiaro" |
| }, |
| "question": "Is Kandiaro approximately on the direct path from Campsie to Kam Tin?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 7390.9, |
| "via_waypoint_km": 15680.2, |
| "detour_km": 8289.3, |
| "detour_percent": 112.2 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Campsie", |
| " End: Kam Tin", |
| " Waypoint: Kandiaro", |
| "Step 2: Calculate direct distance", |
| " Start → End: 7390.9 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 15680.2 km", |
| "Step 4: Calculate detour", |
| " Detour = 15680.2 - 7390.9 = 8289.3 km", |
| " Detour % = (8289.3 / 7390.9) × 100 = 112.2%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 112.2% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 45.77507, |
| "lon": 4.82712, |
| "name": "Lyon 04" |
| }, |
| "end": { |
| "lat": 55.82299, |
| "lon": 37.81306, |
| "name": "Gol’yanovo" |
| }, |
| "waypoint": { |
| "lat": -8.66361, |
| "lon": -36.00583, |
| "name": "Panelas" |
| }, |
| "question": "Is Panelas approximately on the direct path from Lyon 04 to Gol’yanovo?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 2541.1, |
| "via_waypoint_km": 17105.3, |
| "detour_km": 14564.2, |
| "detour_percent": 573.1 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Lyon 04", |
| " End: Gol’yanovo", |
| " Waypoint: Panelas", |
| "Step 2: Calculate direct distance", |
| " Start → End: 2541.1 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 17105.3 km", |
| "Step 4: Calculate detour", |
| " Detour = 17105.3 - 2541.1 = 14564.2 km", |
| " Detour % = (14564.2 / 2541.1) × 100 = 573.1%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 573.1% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 47.59432, |
| "lon": 1.32912, |
| "name": "Blois" |
| }, |
| "end": { |
| "lat": 35.92296, |
| "lon": 5.29604, |
| "name": "Aïn Oulmene" |
| }, |
| "waypoint": { |
| "lat": 40.96417, |
| "lon": 129.32778, |
| "name": "Kilju" |
| }, |
| "question": "Is Kilju approximately on the direct path from Blois to Aïn Oulmene?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 1338.4, |
| "via_waypoint_km": 18652.8, |
| "detour_km": 17314.4, |
| "detour_percent": 1293.7 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Blois", |
| " End: Aïn Oulmene", |
| " Waypoint: Kilju", |
| "Step 2: Calculate direct distance", |
| " Start → End: 1338.4 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 18652.8 km", |
| "Step 4: Calculate detour", |
| " Detour = 18652.8 - 1338.4 = 17314.4 km", |
| " Detour % = (17314.4 / 1338.4) × 100 = 1293.7%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 1293.7% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 11.36088, |
| "lon": 77.68952, |
| "name": "Periya Semūr" |
| }, |
| "end": { |
| "lat": 32.50467, |
| "lon": -7.19238, |
| "name": "Al Brouj" |
| }, |
| "waypoint": { |
| "lat": 36.63709, |
| "lon": 3.69474, |
| "name": "Chabet el Ameur" |
| }, |
| "question": "Is Chabet el Ameur approximately on the direct path from Periya Semūr to Al Brouj?", |
| "ground_truth": { |
| "answer": true, |
| "direct_distance_km": 8857.0, |
| "via_waypoint_km": 8931.5, |
| "detour_km": 74.5, |
| "detour_percent": 0.8 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Periya Semūr", |
| " End: Al Brouj", |
| " Waypoint: Chabet el Ameur", |
| "Step 2: Calculate direct distance", |
| " Start → End: 8857.0 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 8931.5 km", |
| "Step 4: Calculate detour", |
| " Detour = 8931.5 - 8857.0 = 74.5 km", |
| " Detour % = (74.5 / 8857.0) × 100 = 0.8%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 0.8% < 10%", |
| "FINAL ANSWER: Yes" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 29.14269, |
| "lon": 71.25771, |
| "name": "Ahmadpur East" |
| }, |
| "end": { |
| "lat": 30.73916, |
| "lon": 108.59976, |
| "name": "Changtan" |
| }, |
| "waypoint": { |
| "lat": -15.64713, |
| "lon": -47.79315, |
| "name": "Sobradinho" |
| }, |
| "question": "Is Sobradinho approximately on the direct path from Ahmadpur East to Changtan?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 3585.9, |
| "via_waypoint_km": 30727.1, |
| "detour_km": 27141.2, |
| "detour_percent": 756.9 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Ahmadpur East", |
| " End: Changtan", |
| " Waypoint: Sobradinho", |
| "Step 2: Calculate direct distance", |
| " Start → End: 3585.9 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 30727.1 km", |
| "Step 4: Calculate detour", |
| " Detour = 30727.1 - 3585.9 = 27141.2 km", |
| " Detour % = (27141.2 / 3585.9) × 100 = 756.9%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 756.9% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 1.29417, |
| "lon": 103.8025, |
| "name": "Queenstown Estate" |
| }, |
| "end": { |
| "lat": -7.4664, |
| "lon": 112.4338, |
| "name": "Mojokerto" |
| }, |
| "waypoint": { |
| "lat": 10.43949, |
| "lon": -68.89496, |
| "name": "Aroa" |
| }, |
| "question": "Is Aroa approximately on the direct path from Queenstown Estate to Mojokerto?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 1365.9, |
| "via_waypoint_km": 38134.2, |
| "detour_km": 36768.3, |
| "detour_percent": 2691.9 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Queenstown Estate", |
| " End: Mojokerto", |
| " Waypoint: Aroa", |
| "Step 2: Calculate direct distance", |
| " Start → End: 1365.9 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 38134.2 km", |
| "Step 4: Calculate detour", |
| " Detour = 38134.2 - 1365.9 = 36768.3 km", |
| " Detour % = (36768.3 / 1365.9) × 100 = 2691.9%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 2691.9% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 46.56667, |
| "lon": 23.78333, |
| "name": "Turda" |
| }, |
| "end": { |
| "lat": 43.60717, |
| "lon": 13.5103, |
| "name": "Ancona" |
| }, |
| "waypoint": { |
| "lat": -30.2518, |
| "lon": -57.63537, |
| "name": "Monte Caseros" |
| }, |
| "question": "Is Monte Caseros approximately on the direct path from Turda to Ancona?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 870.2, |
| "via_waypoint_km": 22734.1, |
| "detour_km": 21863.8, |
| "detour_percent": 2512.4 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Turda", |
| " End: Ancona", |
| " Waypoint: Monte Caseros", |
| "Step 2: Calculate direct distance", |
| " Start → End: 870.2 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 22734.1 km", |
| "Step 4: Calculate detour", |
| " Detour = 22734.1 - 870.2 = 21863.8 km", |
| " Detour % = (21863.8 / 870.2) × 100 = 2512.4%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 2512.4% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 29.86864, |
| "lon": 107.73027, |
| "name": "Sanhe" |
| }, |
| "end": { |
| "lat": 36.83915, |
| "lon": 28.76457, |
| "name": "Ortaca" |
| }, |
| "waypoint": { |
| "lat": -33.88834, |
| "lon": 151.12274, |
| "name": "Ashfield" |
| }, |
| "question": "Is Ashfield approximately on the direct path from Sanhe to Ortaca?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 7165.6, |
| "via_waypoint_km": 23285.8, |
| "detour_km": 16120.2, |
| "detour_percent": 225.0 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Sanhe", |
| " End: Ortaca", |
| " Waypoint: Ashfield", |
| "Step 2: Calculate direct distance", |
| " Start → End: 7165.6 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 23285.8 km", |
| "Step 4: Calculate detour", |
| " Detour = 23285.8 - 7165.6 = 16120.2 km", |
| " Detour % = (16120.2 / 7165.6) × 100 = 225.0%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 225.0% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 26.90403, |
| "lon": 83.98087, |
| "name": "Padrauna" |
| }, |
| "end": { |
| "lat": 23.19014, |
| "lon": 94.06405, |
| "name": "Kalemyo" |
| }, |
| "waypoint": { |
| "lat": 20.14804, |
| "lon": 40.27224, |
| "name": "Al Līth" |
| }, |
| "question": "Is Al Līth approximately on the direct path from Padrauna to Kalemyo?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 1096.0, |
| "via_waypoint_km": 10035.2, |
| "detour_km": 8939.1, |
| "detour_percent": 815.6 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Padrauna", |
| " End: Kalemyo", |
| " Waypoint: Al Līth", |
| "Step 2: Calculate direct distance", |
| " Start → End: 1096.0 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 10035.2 km", |
| "Step 4: Calculate detour", |
| " Detour = 10035.2 - 1096.0 = 8939.1 km", |
| " Detour % = (8939.1 / 1096.0) × 100 = 815.6%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 815.6% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 28.88162, |
| "lon": 120.03308, |
| "name": "Guli" |
| }, |
| "end": { |
| "lat": 34.88333, |
| "lon": 136.58333, |
| "name": "Suzuka" |
| }, |
| "waypoint": { |
| "lat": 2.5825, |
| "lon": 102.711, |
| "name": "Batu Anam" |
| }, |
| "question": "Is Batu Anam approximately on the direct path from Guli to Suzuka?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 1696.4, |
| "via_waypoint_km": 8463.5, |
| "detour_km": 6767.1, |
| "detour_percent": 398.9 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Guli", |
| " End: Suzuka", |
| " Waypoint: Batu Anam", |
| "Step 2: Calculate direct distance", |
| " Start → End: 1696.4 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 8463.5 km", |
| "Step 4: Calculate detour", |
| " Detour = 8463.5 - 1696.4 = 6767.1 km", |
| " Detour % = (6767.1 / 1696.4) × 100 = 398.9%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 398.9% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 38.21201, |
| "lon": -85.22357, |
| "name": "Shelbyville" |
| }, |
| "end": { |
| "lat": 32.58345, |
| "lon": 14.03627, |
| "name": "Msalātah" |
| }, |
| "waypoint": { |
| "lat": 32.77998, |
| "lon": 72.69793, |
| "name": "Kallar Kahar" |
| }, |
| "question": "Is Kallar Kahar approximately on the direct path from Shelbyville to Msalātah?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 8551.3, |
| "via_waypoint_km": 17212.5, |
| "detour_km": 8661.2, |
| "detour_percent": 101.3 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Shelbyville", |
| " End: Msalātah", |
| " Waypoint: Kallar Kahar", |
| "Step 2: Calculate direct distance", |
| " Start → End: 8551.3 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 17212.5 km", |
| "Step 4: Calculate detour", |
| " Detour = 17212.5 - 8551.3 = 8661.2 km", |
| " Detour % = (8661.2 / 8551.3) × 100 = 101.3%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 101.3% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 48.14446, |
| "lon": 37.30058, |
| "name": "Selydove" |
| }, |
| "end": { |
| "lat": 43.12442, |
| "lon": 5.92836, |
| "name": "Toulon" |
| }, |
| "waypoint": { |
| "lat": 19.90944, |
| "lon": -99.14472, |
| "name": "Tequixquiac" |
| }, |
| "question": "Is Tequixquiac approximately on the direct path from Selydove to Toulon?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 2483.8, |
| "via_waypoint_km": 20958.4, |
| "detour_km": 18474.6, |
| "detour_percent": 743.8 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Selydove", |
| " End: Toulon", |
| " Waypoint: Tequixquiac", |
| "Step 2: Calculate direct distance", |
| " Start → End: 2483.8 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 20958.4 km", |
| "Step 4: Calculate detour", |
| " Detour = 20958.4 - 2483.8 = 18474.6 km", |
| " Detour % = (18474.6 / 2483.8) × 100 = 743.8%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 743.8% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 50.43565, |
| "lon": -3.56789, |
| "name": "Paignton" |
| }, |
| "end": { |
| "lat": 45.41047, |
| "lon": 9.26838, |
| "name": "San Donato Milanese" |
| }, |
| "waypoint": { |
| "lat": 7.17618, |
| "lon": -7.29729, |
| "name": "Baibli" |
| }, |
| "question": "Is Baibli approximately on the direct path from Paignton to San Donato Milanese?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 1105.6, |
| "via_waypoint_km": 9363.5, |
| "detour_km": 8257.9, |
| "detour_percent": 746.9 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Paignton", |
| " End: San Donato Milanese", |
| " Waypoint: Baibli", |
| "Step 2: Calculate direct distance", |
| " Start → End: 1105.6 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 9363.5 km", |
| "Step 4: Calculate detour", |
| " Detour = 9363.5 - 1105.6 = 8257.9 km", |
| " Detour % = (8257.9 / 1105.6) × 100 = 746.9%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 746.9% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 50.44548, |
| "lon": 18.86147, |
| "name": "Tarnowskie Góry" |
| }, |
| "end": { |
| "lat": -17.51944, |
| "lon": -39.19556, |
| "name": "Alcobaça" |
| }, |
| "waypoint": { |
| "lat": -2.23111, |
| "lon": -45.3, |
| "name": "Santa Helena" |
| }, |
| "question": "Is Santa Helena approximately on the direct path from Tarnowskie Góry to Alcobaça?", |
| "ground_truth": { |
| "answer": true, |
| "direct_distance_km": 9438.5, |
| "via_waypoint_km": 10241.3, |
| "detour_km": 802.8, |
| "detour_percent": 8.5 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Tarnowskie Góry", |
| " End: Alcobaça", |
| " Waypoint: Santa Helena", |
| "Step 2: Calculate direct distance", |
| " Start → End: 9438.5 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 10241.3 km", |
| "Step 4: Calculate detour", |
| " Detour = 10241.3 - 9438.5 = 802.8 km", |
| " Detour % = (802.8 / 9438.5) × 100 = 8.5%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 8.5% < 10%", |
| "FINAL ANSWER: Yes" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 31.13379, |
| "lon": 30.12969, |
| "name": "Kafr ad Dawwār" |
| }, |
| "end": { |
| "lat": 48.62565, |
| "lon": 9.34203, |
| "name": "Nürtingen" |
| }, |
| "waypoint": { |
| "lat": 18.79038, |
| "lon": 98.98468, |
| "name": "Chiang Mai" |
| }, |
| "question": "Is Chiang Mai approximately on the direct path from Kafr ad Dawwār to Nürtingen?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 2615.2, |
| "via_waypoint_km": 15397.0, |
| "detour_km": 12781.8, |
| "detour_percent": 488.8 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Kafr ad Dawwār", |
| " End: Nürtingen", |
| " Waypoint: Chiang Mai", |
| "Step 2: Calculate direct distance", |
| " Start → End: 2615.2 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 15397.0 km", |
| "Step 4: Calculate detour", |
| " Detour = 15397.0 - 2615.2 = 12781.8 km", |
| " Detour % = (12781.8 / 2615.2) × 100 = 488.8%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 488.8% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": -22.11639, |
| "lon": -45.05444, |
| "name": "São Lourenço" |
| }, |
| "end": { |
| "lat": -22.45667, |
| "lon": -68.92371, |
| "name": "Calama" |
| }, |
| "waypoint": { |
| "lat": 26.82649, |
| "lon": -109.64206, |
| "name": "Huatabampo" |
| }, |
| "question": "Is Huatabampo approximately on the direct path from São Lourenço to Calama?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 2453.6, |
| "via_waypoint_km": 15837.6, |
| "detour_km": 13384.0, |
| "detour_percent": 545.5 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: São Lourenço", |
| " End: Calama", |
| " Waypoint: Huatabampo", |
| "Step 2: Calculate direct distance", |
| " Start → End: 2453.6 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 15837.6 km", |
| "Step 4: Calculate detour", |
| " Detour = 15837.6 - 2453.6 = 13384.0 km", |
| " Detour % = (13384.0 / 2453.6) × 100 = 545.5%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 545.5% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 38.6703, |
| "lon": 26.75656, |
| "name": "Foça" |
| }, |
| "end": { |
| "lat": 28.99242, |
| "lon": 116.66754, |
| "name": "Poyang" |
| }, |
| "waypoint": { |
| "lat": 21.38602, |
| "lon": 103.02301, |
| "name": "Dien Bien Phu" |
| }, |
| "question": "Is Dien Bien Phu approximately on the direct path from Foça to Poyang?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 8040.2, |
| "via_waypoint_km": 8993.3, |
| "detour_km": 953.1, |
| "detour_percent": 11.9 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Foça", |
| " End: Poyang", |
| " Waypoint: Dien Bien Phu", |
| "Step 2: Calculate direct distance", |
| " Start → End: 8040.2 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 8993.3 km", |
| "Step 4: Calculate detour", |
| " Detour = 8993.3 - 8040.2 = 953.1 km", |
| " Detour % = (953.1 / 8040.2) × 100 = 11.9%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 11.9% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": -28.46957, |
| "lon": -65.78524, |
| "name": "Catamarca" |
| }, |
| "end": { |
| "lat": -27.15778, |
| "lon": -48.55306, |
| "name": "Porto Belo" |
| }, |
| "waypoint": { |
| "lat": 30.75438, |
| "lon": 31.44016, |
| "name": "Diyarb Najm" |
| }, |
| "question": "Is Diyarb Najm approximately on the direct path from Catamarca to Porto Belo?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 1699.6, |
| "via_waypoint_km": 22858.6, |
| "detour_km": 21159.1, |
| "detour_percent": 1245.0 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Catamarca", |
| " End: Porto Belo", |
| " Waypoint: Diyarb Najm", |
| "Step 2: Calculate direct distance", |
| " Start → End: 1699.6 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 22858.6 km", |
| "Step 4: Calculate detour", |
| " Detour = 22858.6 - 1699.6 = 21159.1 km", |
| " Detour % = (21159.1 / 1699.6) × 100 = 1245.0%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 1245.0% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": -18.58111, |
| "lon": 36.45861, |
| "name": "Chinde" |
| }, |
| "end": { |
| "lat": 40.84816, |
| "lon": -73.99764, |
| "name": "Palisades Park" |
| }, |
| "waypoint": { |
| "lat": -27.08465, |
| "lon": 152.9511, |
| "name": "Caboolture" |
| }, |
| "question": "Is Caboolture approximately on the direct path from Chinde to Palisades Park?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 13045.7, |
| "via_waypoint_km": 26978.9, |
| "detour_km": 13933.2, |
| "detour_percent": 106.8 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Chinde", |
| " End: Palisades Park", |
| " Waypoint: Caboolture", |
| "Step 2: Calculate direct distance", |
| " Start → End: 13045.7 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 26978.9 km", |
| "Step 4: Calculate detour", |
| " Detour = 26978.9 - 13045.7 = 13933.2 km", |
| " Detour % = (13933.2 / 13045.7) × 100 = 106.8%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 106.8% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 9.93988, |
| "lon": 76.26022, |
| "name": "Kochi" |
| }, |
| "end": { |
| "lat": 24.75204, |
| "lon": 84.3742, |
| "name": "Aurangābād" |
| }, |
| "waypoint": { |
| "lat": 38.68574, |
| "lon": -121.37217, |
| "name": "North Highlands" |
| }, |
| "question": "Is North Highlands approximately on the direct path from Kochi to Aurangābād?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 1857.1, |
| "via_waypoint_km": 26776.5, |
| "detour_km": 24919.4, |
| "detour_percent": 1341.8 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Kochi", |
| " End: Aurangābād", |
| " Waypoint: North Highlands", |
| "Step 2: Calculate direct distance", |
| " Start → End: 1857.1 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 26776.5 km", |
| "Step 4: Calculate detour", |
| " Detour = 26776.5 - 1857.1 = 24919.4 km", |
| " Detour % = (24919.4 / 1857.1) × 100 = 1341.8%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 1341.8% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 9.49828, |
| "lon": -73.97591, |
| "name": "Astrea" |
| }, |
| "end": { |
| "lat": 13.9835, |
| "lon": 10.27035, |
| "name": "Gouré" |
| }, |
| "waypoint": { |
| "lat": 41.54317, |
| "lon": -8.40725, |
| "name": "Bairro Novo" |
| }, |
| "question": "Is Bairro Novo approximately on the direct path from Astrea to Gouré?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 9139.5, |
| "via_waypoint_km": 10838.3, |
| "detour_km": 1698.7, |
| "detour_percent": 18.6 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Astrea", |
| " End: Gouré", |
| " Waypoint: Bairro Novo", |
| "Step 2: Calculate direct distance", |
| " Start → End: 9139.5 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 10838.3 km", |
| "Step 4: Calculate detour", |
| " Detour = 10838.3 - 9139.5 = 1698.7 km", |
| " Detour % = (1698.7 / 9139.5) × 100 = 18.6%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 18.6% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": -26.06927, |
| "lon": 30.11489, |
| "name": "Carolina" |
| }, |
| "end": { |
| "lat": 17.42841, |
| "lon": 78.49361, |
| "name": "Rāniganj" |
| }, |
| "waypoint": { |
| "lat": 39.9036, |
| "lon": 8.59257, |
| "name": "Oristano" |
| }, |
| "question": "Is Oristano approximately on the direct path from Carolina to Rāniganj?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 7121.8, |
| "via_waypoint_km": 14746.3, |
| "detour_km": 7624.5, |
| "detour_percent": 107.1 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Carolina", |
| " End: Rāniganj", |
| " Waypoint: Oristano", |
| "Step 2: Calculate direct distance", |
| " Start → End: 7121.8 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 14746.3 km", |
| "Step 4: Calculate detour", |
| " Detour = 14746.3 - 7121.8 = 7624.5 km", |
| " Detour % = (7624.5 / 7121.8) × 100 = 107.1%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 107.1% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 36.20005, |
| "lon": -86.51861, |
| "name": "Mount Juliet" |
| }, |
| "end": { |
| "lat": 32.792, |
| "lon": -115.56305, |
| "name": "El Centro" |
| }, |
| "waypoint": { |
| "lat": 43.42896, |
| "lon": 39.92391, |
| "name": "Adler" |
| }, |
| "question": "Is Adler approximately on the direct path from Mount Juliet to El Centro?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 2678.4, |
| "via_waypoint_km": 20819.5, |
| "detour_km": 18141.1, |
| "detour_percent": 677.3 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Mount Juliet", |
| " End: El Centro", |
| " Waypoint: Adler", |
| "Step 2: Calculate direct distance", |
| " Start → End: 2678.4 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 20819.5 km", |
| "Step 4: Calculate detour", |
| " Detour = 20819.5 - 2678.4 = 18141.1 km", |
| " Detour % = (18141.1 / 2678.4) × 100 = 677.3%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 677.3% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": -41.13333, |
| "lon": 174.85, |
| "name": "Porirua" |
| }, |
| "end": { |
| "lat": 17.87847, |
| "lon": 102.742, |
| "name": "Nong Khai" |
| }, |
| "waypoint": { |
| "lat": 36.80753, |
| "lon": 10.11061, |
| "name": "Den Den" |
| }, |
| "question": "Is Den Den approximately on the direct path from Porirua to Nong Khai?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 9891.1, |
| "via_waypoint_km": 27668.2, |
| "detour_km": 17777.1, |
| "detour_percent": 179.7 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Porirua", |
| " End: Nong Khai", |
| " Waypoint: Den Den", |
| "Step 2: Calculate direct distance", |
| " Start → End: 9891.1 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 27668.2 km", |
| "Step 4: Calculate detour", |
| " Detour = 27668.2 - 9891.1 = 17777.1 km", |
| " Detour % = (17777.1 / 9891.1) × 100 = 179.7%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 179.7% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": -13.07556, |
| "lon": -76.38528, |
| "name": "San Vicente de Cañete" |
| }, |
| "end": { |
| "lat": -28.72472, |
| "lon": -52.84972, |
| "name": "Espumoso" |
| }, |
| "waypoint": { |
| "lat": 8.71364, |
| "lon": -71.44421, |
| "name": "La Azulita" |
| }, |
| "question": "Is La Azulita approximately on the direct path from San Vicente de Cañete to Espumoso?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 2990.1, |
| "via_waypoint_km": 7100.0, |
| "detour_km": 4109.9, |
| "detour_percent": 137.5 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: San Vicente de Cañete", |
| " End: Espumoso", |
| " Waypoint: La Azulita", |
| "Step 2: Calculate direct distance", |
| " Start → End: 2990.1 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 7100.0 km", |
| "Step 4: Calculate detour", |
| " Detour = 7100.0 - 2990.1 = 4109.9 km", |
| " Detour % = (4109.9 / 2990.1) × 100 = 137.5%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 137.5% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 39.00862, |
| "lon": -94.46356, |
| "name": "Raytown" |
| }, |
| "end": { |
| "lat": 12.14579, |
| "lon": 75.17475, |
| "name": "Trikarpūr North" |
| }, |
| "waypoint": { |
| "lat": 38.90883, |
| "lon": 1.43296, |
| "name": "Ibiza" |
| }, |
| "question": "Is Ibiza approximately on the direct path from Raytown to Trikarpūr North?", |
| "ground_truth": { |
| "answer": true, |
| "direct_distance_km": 14226.3, |
| "via_waypoint_km": 15605.8, |
| "detour_km": 1379.5, |
| "detour_percent": 9.7 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Raytown", |
| " End: Trikarpūr North", |
| " Waypoint: Ibiza", |
| "Step 2: Calculate direct distance", |
| " Start → End: 14226.3 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 15605.8 km", |
| "Step 4: Calculate detour", |
| " Detour = 15605.8 - 14226.3 = 1379.5 km", |
| " Detour % = (1379.5 / 14226.3) × 100 = 9.7%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 9.7% < 10%", |
| "FINAL ANSWER: Yes" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 39.40326, |
| "lon": -9.13839, |
| "name": "Caldas da Rainha" |
| }, |
| "end": { |
| "lat": 33.41439, |
| "lon": 130.71877, |
| "name": "Asakura" |
| }, |
| "waypoint": { |
| "lat": -4.23333, |
| "lon": 35.41667, |
| "name": "Bashanet" |
| }, |
| "question": "Is Bashanet approximately on the direct path from Caldas da Rainha to Asakura?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 10924.8, |
| "via_waypoint_km": 17413.5, |
| "detour_km": 6488.7, |
| "detour_percent": 59.4 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Caldas da Rainha", |
| " End: Asakura", |
| " Waypoint: Bashanet", |
| "Step 2: Calculate direct distance", |
| " Start → End: 10924.8 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 17413.5 km", |
| "Step 4: Calculate detour", |
| " Detour = 17413.5 - 10924.8 = 6488.7 km", |
| " Detour % = (6488.7 / 10924.8) × 100 = 59.4%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 59.4% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 7.38299, |
| "lon": 4.26031, |
| "name": "Modakeke" |
| }, |
| "end": { |
| "lat": 43.63897, |
| "lon": -70.31533, |
| "name": "South Portland Gardens" |
| }, |
| "waypoint": { |
| "lat": 51.76109, |
| "lon": 18.09102, |
| "name": "Kalisz" |
| }, |
| "question": "Is Kalisz approximately on the direct path from Modakeke to South Portland Gardens?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 8202.4, |
| "via_waypoint_km": 11357.6, |
| "detour_km": 3155.3, |
| "detour_percent": 38.5 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Modakeke", |
| " End: South Portland Gardens", |
| " Waypoint: Kalisz", |
| "Step 2: Calculate direct distance", |
| " Start → End: 8202.4 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 11357.6 km", |
| "Step 4: Calculate detour", |
| " Detour = 11357.6 - 8202.4 = 3155.3 km", |
| " Detour % = (3155.3 / 8202.4) × 100 = 38.5%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 38.5% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 33.37981, |
| "lon": -7.61932, |
| "name": "Zawyat an Nwaçer" |
| }, |
| "end": { |
| "lat": 6.17146, |
| "lon": 7.00525, |
| "name": "Enugu-Ukwu" |
| }, |
| "waypoint": { |
| "lat": 49.9, |
| "lon": 2.3, |
| "name": "Amiens" |
| }, |
| "question": "Is Amiens approximately on the direct path from Zawyat an Nwaçer to Enugu-Ukwu?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 3381.1, |
| "via_waypoint_km": 6891.5, |
| "detour_km": 3510.4, |
| "detour_percent": 103.8 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Zawyat an Nwaçer", |
| " End: Enugu-Ukwu", |
| " Waypoint: Amiens", |
| "Step 2: Calculate direct distance", |
| " Start → End: 3381.1 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 6891.5 km", |
| "Step 4: Calculate detour", |
| " Detour = 6891.5 - 3381.1 = 3510.4 km", |
| " Detour % = (3510.4 / 3381.1) × 100 = 103.8%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 103.8% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": -4.30028, |
| "lon": -38.49778, |
| "name": "Chorozinho" |
| }, |
| "end": { |
| "lat": 2.43986, |
| "lon": -60.91146, |
| "name": "Mucajaí" |
| }, |
| "waypoint": { |
| "lat": 21.06895, |
| "lon": 105.81053, |
| "name": "Tây Hồ" |
| }, |
| "question": "Is Tây Hồ approximately on the direct path from Chorozinho to Mucajaí?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 2600.8, |
| "via_waypoint_km": 32762.8, |
| "detour_km": 30162.0, |
| "detour_percent": 1159.7 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Chorozinho", |
| " End: Mucajaí", |
| " Waypoint: Tây Hồ", |
| "Step 2: Calculate direct distance", |
| " Start → End: 2600.8 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 32762.8 km", |
| "Step 4: Calculate detour", |
| " Detour = 32762.8 - 2600.8 = 30162.0 km", |
| " Detour % = (30162.0 / 2600.8) × 100 = 1159.7%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 1159.7% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 34.22699, |
| "lon": 133.77791, |
| "name": "Zentsujichó" |
| }, |
| "end": { |
| "lat": 50.59833, |
| "lon": 4.32848, |
| "name": "Nivelles" |
| }, |
| "waypoint": { |
| "lat": -36.84853, |
| "lon": 174.76349, |
| "name": "Auckland" |
| }, |
| "question": "Is Auckland approximately on the direct path from Zentsujichó to Nivelles?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 9361.9, |
| "via_waypoint_km": 27277.1, |
| "detour_km": 17915.2, |
| "detour_percent": 191.4 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Zentsujichó", |
| " End: Nivelles", |
| " Waypoint: Auckland", |
| "Step 2: Calculate direct distance", |
| " Start → End: 9361.9 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 27277.1 km", |
| "Step 4: Calculate detour", |
| " Detour = 27277.1 - 9361.9 = 17915.2 km", |
| " Detour % = (17915.2 / 9361.9) × 100 = 191.4%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 191.4% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": -32.23013, |
| "lon": 115.78128, |
| "name": "Kwinana" |
| }, |
| "end": { |
| "lat": 33.66761, |
| "lon": -84.01769, |
| "name": "Conyers" |
| }, |
| "waypoint": { |
| "lat": 15.64925, |
| "lon": 32.53458, |
| "name": "Khartoum North" |
| }, |
| "question": "Is Khartoum North approximately on the direct path from Kwinana to Conyers?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 18163.6, |
| "via_waypoint_km": 21661.0, |
| "detour_km": 3497.4, |
| "detour_percent": 19.3 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Kwinana", |
| " End: Conyers", |
| " Waypoint: Khartoum North", |
| "Step 2: Calculate direct distance", |
| " Start → End: 18163.6 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 21661.0 km", |
| "Step 4: Calculate detour", |
| " Detour = 21661.0 - 18163.6 = 3497.4 km", |
| " Detour % = (3497.4 / 18163.6) × 100 = 19.3%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 19.3% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": -22.55941, |
| "lon": 17.08323, |
| "name": "Windhoek" |
| }, |
| "end": { |
| "lat": 49.21141, |
| "lon": 119.75582, |
| "name": "Hulunbuir" |
| }, |
| "waypoint": { |
| "lat": 14.4968, |
| "lon": 121.2846, |
| "name": "Tanay" |
| }, |
| "question": "Is Tanay approximately on the direct path from Windhoek to Hulunbuir?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 12788.8, |
| "via_waypoint_km": 15914.3, |
| "detour_km": 3125.6, |
| "detour_percent": 24.4 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Windhoek", |
| " End: Hulunbuir", |
| " Waypoint: Tanay", |
| "Step 2: Calculate direct distance", |
| " Start → End: 12788.8 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 15914.3 km", |
| "Step 4: Calculate detour", |
| " Detour = 15914.3 - 12788.8 = 3125.6 km", |
| " Detour % = (3125.6 / 12788.8) × 100 = 24.4%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 24.4% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 21.59422, |
| "lon": 105.84817, |
| "name": "Thái Nguyên" |
| }, |
| "end": { |
| "lat": 38.45821, |
| "lon": 40.63888, |
| "name": "Lice" |
| }, |
| "waypoint": { |
| "lat": 37.44882, |
| "lon": -77.47353, |
| "name": "Meadowbrook" |
| }, |
| "question": "Is Meadowbrook approximately on the direct path from Thái Nguyên to Lice?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 6417.2, |
| "via_waypoint_km": 22904.4, |
| "detour_km": 16487.2, |
| "detour_percent": 256.9 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Thái Nguyên", |
| " End: Lice", |
| " Waypoint: Meadowbrook", |
| "Step 2: Calculate direct distance", |
| " Start → End: 6417.2 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 22904.4 km", |
| "Step 4: Calculate detour", |
| " Detour = 22904.4 - 6417.2 = 16487.2 km", |
| " Detour % = (16487.2 / 6417.2) × 100 = 256.9%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 256.9% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 22.40711, |
| "lon": -79.96581, |
| "name": "Santa Clara" |
| }, |
| "end": { |
| "lat": 33.53375, |
| "lon": -82.13067, |
| "name": "Evans" |
| }, |
| "waypoint": { |
| "lat": 52.08362, |
| "lon": 15.62513, |
| "name": "Sulechów" |
| }, |
| "question": "Is Sulechów approximately on the direct path from Santa Clara to Evans?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 1255.3, |
| "via_waypoint_km": 16043.7, |
| "detour_km": 14788.5, |
| "detour_percent": 1178.1 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Santa Clara", |
| " End: Evans", |
| " Waypoint: Sulechów", |
| "Step 2: Calculate direct distance", |
| " Start → End: 1255.3 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 16043.7 km", |
| "Step 4: Calculate detour", |
| " Detour = 16043.7 - 1255.3 = 14788.5 km", |
| " Detour % = (14788.5 / 1255.3) × 100 = 1178.1%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 1178.1% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 39.59111, |
| "lon": -0.46151, |
| "name": "Bétera" |
| }, |
| "end": { |
| "lat": 37.86014, |
| "lon": 27.25713, |
| "name": "Kuşadası" |
| }, |
| "waypoint": { |
| "lat": 36.7415, |
| "lon": 49.4161, |
| "name": "Pādegān-e Manjīl" |
| }, |
| "question": "Is Pādegān-e Manjīl approximately on the direct path from Bétera to Kuşadası?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 2402.7, |
| "via_waypoint_km": 6275.2, |
| "detour_km": 3872.5, |
| "detour_percent": 161.2 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Bétera", |
| " End: Kuşadası", |
| " Waypoint: Pādegān-e Manjīl", |
| "Step 2: Calculate direct distance", |
| " Start → End: 2402.7 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 6275.2 km", |
| "Step 4: Calculate detour", |
| " Detour = 6275.2 - 2402.7 = 3872.5 km", |
| " Detour % = (3872.5 / 2402.7) × 100 = 161.2%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 161.2% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 23.37795, |
| "lon": 120.16154, |
| "name": "Budai" |
| }, |
| "end": { |
| "lat": 17.31597, |
| "lon": 99.83186, |
| "name": "Sawankhalok" |
| }, |
| "waypoint": { |
| "lat": 48.53214, |
| "lon": 35.86878, |
| "name": "Pavlohrad" |
| }, |
| "question": "Is Pavlohrad approximately on the direct path from Budai to Sawankhalok?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 2221.5, |
| "via_waypoint_km": 14344.3, |
| "detour_km": 12122.8, |
| "detour_percent": 545.7 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Budai", |
| " End: Sawankhalok", |
| " Waypoint: Pavlohrad", |
| "Step 2: Calculate direct distance", |
| " Start → End: 2221.5 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 14344.3 km", |
| "Step 4: Calculate detour", |
| " Detour = 14344.3 - 2221.5 = 12122.8 km", |
| " Detour % = (12122.8 / 2221.5) × 100 = 545.7%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 545.7% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 33.8455, |
| "lon": 10.11423, |
| "name": "Teboulbou" |
| }, |
| "end": { |
| "lat": 12.40592, |
| "lon": 4.64605, |
| "name": "Tambuwal" |
| }, |
| "waypoint": { |
| "lat": 8.30746, |
| "lon": 77.15205, |
| "name": "Methukummal" |
| }, |
| "question": "Is Methukummal approximately on the direct path from Teboulbou to Tambuwal?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 2447.5, |
| "via_waypoint_km": 15300.1, |
| "detour_km": 12852.6, |
| "detour_percent": 525.1 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Teboulbou", |
| " End: Tambuwal", |
| " Waypoint: Methukummal", |
| "Step 2: Calculate direct distance", |
| " Start → End: 2447.5 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 15300.1 km", |
| "Step 4: Calculate detour", |
| " Detour = 15300.1 - 2447.5 = 12852.6 km", |
| " Detour % = (12852.6 / 2447.5) × 100 = 525.1%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 525.1% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 14.43563, |
| "lon": -91.22685, |
| "name": "Santa Bárbara" |
| }, |
| "end": { |
| "lat": 19.10446, |
| "lon": -99.5898, |
| "name": "Tenango de Arista" |
| }, |
| "waypoint": { |
| "lat": -20.60361, |
| "lon": -41.18472, |
| "name": "Castelo" |
| }, |
| "question": "Is Castelo approximately on the direct path from Santa Bárbara to Tenango de Arista?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 1030.3, |
| "via_waypoint_km": 14454.1, |
| "detour_km": 13423.8, |
| "detour_percent": 1302.9 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Santa Bárbara", |
| " End: Tenango de Arista", |
| " Waypoint: Castelo", |
| "Step 2: Calculate direct distance", |
| " Start → End: 1030.3 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 14454.1 km", |
| "Step 4: Calculate detour", |
| " Detour = 14454.1 - 1030.3 = 13423.8 km", |
| " Detour % = (13423.8 / 1030.3) × 100 = 1302.9%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 1302.9% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 51.6275, |
| "lon": 5.075, |
| "name": "Loon op Zand" |
| }, |
| "end": { |
| "lat": 11.74697, |
| "lon": 11.96083, |
| "name": "Damaturu" |
| }, |
| "waypoint": { |
| "lat": 6.24585, |
| "lon": 46.2247, |
| "name": "Cabudwaaq" |
| }, |
| "question": "Is Cabudwaaq approximately on the direct path from Loon op Zand to Damaturu?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 4477.9, |
| "via_waypoint_km": 10107.2, |
| "detour_km": 5629.3, |
| "detour_percent": 125.7 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Loon op Zand", |
| " End: Damaturu", |
| " Waypoint: Cabudwaaq", |
| "Step 2: Calculate direct distance", |
| " Start → End: 4477.9 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 10107.2 km", |
| "Step 4: Calculate detour", |
| " Detour = 10107.2 - 4477.9 = 5629.3 km", |
| " Detour % = (5629.3 / 4477.9) × 100 = 125.7%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 125.7% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 13.09546, |
| "lon": 109.32094, |
| "name": "Tuy Hòa" |
| }, |
| "end": { |
| "lat": 11.36523, |
| "lon": 77.76235, |
| "name": "Pallipalayam" |
| }, |
| "waypoint": { |
| "lat": 16.68317, |
| "lon": 74.58892, |
| "name": "Kurandvād" |
| }, |
| "question": "Is Kurandvād approximately on the direct path from Tuy Hòa to Pallipalayam?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 3432.8, |
| "via_waypoint_km": 4432.2, |
| "detour_km": 999.4, |
| "detour_percent": 29.1 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Tuy Hòa", |
| " End: Pallipalayam", |
| " Waypoint: Kurandvād", |
| "Step 2: Calculate direct distance", |
| " Start → End: 3432.8 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 4432.2 km", |
| "Step 4: Calculate detour", |
| " Detour = 4432.2 - 3432.8 = 999.4 km", |
| " Detour % = (999.4 / 3432.8) × 100 = 29.1%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 29.1% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 13.69196, |
| "lon": 100.40691, |
| "name": "Bang Khae" |
| }, |
| "end": { |
| "lat": 55.78647, |
| "lon": 38.45713, |
| "name": "Elektrostal’" |
| }, |
| "waypoint": { |
| "lat": -3.85, |
| "lon": 35.53333, |
| "name": "Mbulu" |
| }, |
| "question": "Is Mbulu approximately on the direct path from Bang Khae to Elektrostal’?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 7015.0, |
| "via_waypoint_km": 14052.1, |
| "detour_km": 7037.1, |
| "detour_percent": 100.3 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Bang Khae", |
| " End: Elektrostal’", |
| " Waypoint: Mbulu", |
| "Step 2: Calculate direct distance", |
| " Start → End: 7015.0 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 14052.1 km", |
| "Step 4: Calculate detour", |
| " Detour = 14052.1 - 7015.0 = 7037.1 km", |
| " Detour % = (7037.1 / 7015.0) × 100 = 100.3%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 100.3% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 25.58333, |
| "lon": 83.58526, |
| "name": "Ghazīpur" |
| }, |
| "end": { |
| "lat": 45.14603, |
| "lon": 5.71441, |
| "name": "Échirolles" |
| }, |
| "waypoint": { |
| "lat": 12.6, |
| "lon": 37.46667, |
| "name": "Gonder" |
| }, |
| "question": "Is Gonder approximately on the direct path from Ghazīpur to Échirolles?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 7106.4, |
| "via_waypoint_km": 9729.2, |
| "detour_km": 2622.7, |
| "detour_percent": 36.9 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Ghazīpur", |
| " End: Échirolles", |
| " Waypoint: Gonder", |
| "Step 2: Calculate direct distance", |
| " Start → End: 7106.4 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 9729.2 km", |
| "Step 4: Calculate detour", |
| " Detour = 9729.2 - 7106.4 = 2622.7 km", |
| " Detour % = (2622.7 / 7106.4) × 100 = 36.9%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 36.9% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 28.69919, |
| "lon": 30.7673, |
| "name": "Al ‘Idwah" |
| }, |
| "end": { |
| "lat": 8.30306, |
| "lon": 30.14056, |
| "name": "Leer" |
| }, |
| "waypoint": { |
| "lat": 53.42519, |
| "lon": -2.32443, |
| "name": "Sale" |
| }, |
| "question": "Is Sale approximately on the direct path from Al ‘Idwah to Leer?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 2268.9, |
| "via_waypoint_km": 9642.8, |
| "detour_km": 7373.9, |
| "detour_percent": 325.0 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Al ‘Idwah", |
| " End: Leer", |
| " Waypoint: Sale", |
| "Step 2: Calculate direct distance", |
| " Start → End: 2268.9 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 9642.8 km", |
| "Step 4: Calculate detour", |
| " Detour = 9642.8 - 2268.9 = 7373.9 km", |
| " Detour % = (7373.9 / 2268.9) × 100 = 325.0%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 325.0% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 36.53998, |
| "lon": -4.62473, |
| "name": "Fuengirola" |
| }, |
| "end": { |
| "lat": 9.66415, |
| "lon": -68.58659, |
| "name": "San Carlos" |
| }, |
| "waypoint": { |
| "lat": 2.18771, |
| "lon": 22.46827, |
| "name": "Bumba" |
| }, |
| "question": "Is Bumba approximately on the direct path from Fuengirola to San Carlos?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 7050.7, |
| "via_waypoint_km": 14806.1, |
| "detour_km": 7755.4, |
| "detour_percent": 110.0 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Fuengirola", |
| " End: San Carlos", |
| " Waypoint: Bumba", |
| "Step 2: Calculate direct distance", |
| " Start → End: 7050.7 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 14806.1 km", |
| "Step 4: Calculate detour", |
| " Detour = 14806.1 - 7050.7 = 7755.4 km", |
| " Detour % = (7755.4 / 7050.7) × 100 = 110.0%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 110.0% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 6.7, |
| "lon": 6.33333, |
| "name": "Uromi" |
| }, |
| "end": { |
| "lat": 26.5733, |
| "lon": 50.04028, |
| "name": "Tārūt" |
| }, |
| "waypoint": { |
| "lat": 54.35074, |
| "lon": 38.26304, |
| "name": "Venëv" |
| }, |
| "question": "Is Venëv approximately on the direct path from Uromi to Tārūt?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 5118.2, |
| "via_waypoint_km": 9253.6, |
| "detour_km": 4135.4, |
| "detour_percent": 80.8 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Uromi", |
| " End: Tārūt", |
| " Waypoint: Venëv", |
| "Step 2: Calculate direct distance", |
| " Start → End: 5118.2 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 9253.6 km", |
| "Step 4: Calculate detour", |
| " Detour = 9253.6 - 5118.2 = 4135.4 km", |
| " Detour % = (4135.4 / 5118.2) × 100 = 80.8%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 80.8% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 48.12096, |
| "lon": 7.85359, |
| "name": "Emmendingen" |
| }, |
| "end": { |
| "lat": 59.2978, |
| "lon": 18.0514, |
| "name": "Årsta" |
| }, |
| "waypoint": { |
| "lat": 45.10359, |
| "lon": 7.76803, |
| "name": "San Mauro Torinese" |
| }, |
| "question": "Is San Mauro Torinese approximately on the direct path from Emmendingen to Årsta?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 1408.9, |
| "via_waypoint_km": 2057.9, |
| "detour_km": 649.0, |
| "detour_percent": 46.1 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Emmendingen", |
| " End: Årsta", |
| " Waypoint: San Mauro Torinese", |
| "Step 2: Calculate direct distance", |
| " Start → End: 1408.9 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 2057.9 km", |
| "Step 4: Calculate detour", |
| " Detour = 2057.9 - 1408.9 = 649.0 km", |
| " Detour % = (649.0 / 1408.9) × 100 = 46.1%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 46.1% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 40.00033, |
| "lon": 64.50213, |
| "name": "Vobkent Shahri" |
| }, |
| "end": { |
| "lat": 26.18583, |
| "lon": 127.68192, |
| "name": "Tomigusuku" |
| }, |
| "waypoint": { |
| "lat": 55.66473, |
| "lon": 37.56135, |
| "name": "Cherëmushki" |
| }, |
| "question": "Is Cherëmushki approximately on the direct path from Vobkent Shahri to Tomigusuku?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 5956.9, |
| "via_waypoint_km": 10269.0, |
| "detour_km": 4312.1, |
| "detour_percent": 72.4 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Vobkent Shahri", |
| " End: Tomigusuku", |
| " Waypoint: Cherëmushki", |
| "Step 2: Calculate direct distance", |
| " Start → End: 5956.9 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 10269.0 km", |
| "Step 4: Calculate detour", |
| " Detour = 10269.0 - 5956.9 = 4312.1 km", |
| " Detour % = (4312.1 / 5956.9) × 100 = 72.4%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 72.4% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": -27.69934, |
| "lon": -48.53219, |
| "name": "Ribeirão da Ilha" |
| }, |
| "end": { |
| "lat": -11.36667, |
| "lon": -38.33333, |
| "name": "Olindina" |
| }, |
| "waypoint": { |
| "lat": 34.68885, |
| "lon": 103.35242, |
| "name": "Lintan Chengguanzhen" |
| }, |
| "question": "Is Lintan Chengguanzhen approximately on the direct path from Ribeirão da Ilha to Olindina?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 2104.6, |
| "via_waypoint_km": 32600.0, |
| "detour_km": 30495.4, |
| "detour_percent": 1449.0 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Ribeirão da Ilha", |
| " End: Olindina", |
| " Waypoint: Lintan Chengguanzhen", |
| "Step 2: Calculate direct distance", |
| " Start → End: 2104.6 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 32600.0 km", |
| "Step 4: Calculate detour", |
| " Detour = 32600.0 - 2104.6 = 30495.4 km", |
| " Detour % = (30495.4 / 2104.6) × 100 = 1449.0%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 1449.0% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": -33.2792, |
| "lon": 115.71504, |
| "name": "Australind" |
| }, |
| "end": { |
| "lat": 5.50803, |
| "lon": 10.6325, |
| "name": "Foumbot" |
| }, |
| "waypoint": { |
| "lat": 55.62047, |
| "lon": 37.49338, |
| "name": "Tyoply Stan" |
| }, |
| "question": "Is Tyoply Stan approximately on the direct path from Australind to Foumbot?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 11744.1, |
| "via_waypoint_km": 18390.5, |
| "detour_km": 6646.5, |
| "detour_percent": 56.6 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Australind", |
| " End: Foumbot", |
| " Waypoint: Tyoply Stan", |
| "Step 2: Calculate direct distance", |
| " Start → End: 11744.1 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 18390.5 km", |
| "Step 4: Calculate detour", |
| " Detour = 18390.5 - 11744.1 = 6646.5 km", |
| " Detour % = (6646.5 / 11744.1) × 100 = 56.6%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 56.6% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 55.52806, |
| "lon": 37.59917, |
| "name": "Drozhzhino" |
| }, |
| "end": { |
| "lat": -20.87222, |
| "lon": -51.4875, |
| "name": "Castilho" |
| }, |
| "waypoint": { |
| "lat": -33.9205, |
| "lon": 151.25522, |
| "name": "Coogee" |
| }, |
| "question": "Is Coogee approximately on the direct path from Drozhzhino to Castilho?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 11850.7, |
| "via_waypoint_km": 27966.7, |
| "detour_km": 16115.9, |
| "detour_percent": 136.0 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Drozhzhino", |
| " End: Castilho", |
| " Waypoint: Coogee", |
| "Step 2: Calculate direct distance", |
| " Start → End: 11850.7 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 27966.7 km", |
| "Step 4: Calculate detour", |
| " Detour = 27966.7 - 11850.7 = 16115.9 km", |
| " Detour % = (16115.9 / 11850.7) × 100 = 136.0%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 136.0% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 46.5599, |
| "lon": 39.6321, |
| "name": "Kushchyovskaya" |
| }, |
| "end": { |
| "lat": 47.18594, |
| "lon": 19.31091, |
| "name": "Dabas" |
| }, |
| "waypoint": { |
| "lat": 0.23457, |
| "lon": -78.26248, |
| "name": "Otavalo" |
| }, |
| "question": "Is Otavalo approximately on the direct path from Kushchyovskaya to Dabas?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 1541.9, |
| "via_waypoint_km": 22633.9, |
| "detour_km": 21092.0, |
| "detour_percent": 1367.9 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Kushchyovskaya", |
| " End: Dabas", |
| " Waypoint: Otavalo", |
| "Step 2: Calculate direct distance", |
| " Start → End: 1541.9 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 22633.9 km", |
| "Step 4: Calculate detour", |
| " Detour = 22633.9 - 1541.9 = 21092.0 km", |
| " Detour % = (21092.0 / 1541.9) × 100 = 1367.9%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 1367.9% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 25.08358, |
| "lon": 85.42804, |
| "name": "Silao" |
| }, |
| "end": { |
| "lat": 36.18333, |
| "lon": 139.71667, |
| "name": "Koga" |
| }, |
| "waypoint": { |
| "lat": 36.24483, |
| "lon": 137.17323, |
| "name": "Hida" |
| }, |
| "question": "Is Hida approximately on the direct path from Silao to Koga?", |
| "ground_truth": { |
| "answer": true, |
| "direct_distance_km": 5269.8, |
| "via_waypoint_km": 5269.8, |
| "detour_km": 0.0, |
| "detour_percent": 0.0 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Silao", |
| " End: Koga", |
| " Waypoint: Hida", |
| "Step 2: Calculate direct distance", |
| " Start → End: 5269.8 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 5269.8 km", |
| "Step 4: Calculate detour", |
| " Detour = 5269.8 - 5269.8 = 0.0 km", |
| " Detour % = (0.0 / 5269.8) × 100 = 0.0%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 0.0% < 10%", |
| "FINAL ANSWER: Yes" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 41.44987, |
| "lon": -72.81892, |
| "name": "Wallingford Center" |
| }, |
| "end": { |
| "lat": 1.67444, |
| "lon": 31.715, |
| "name": "Masindi" |
| }, |
| "waypoint": { |
| "lat": 33.44976, |
| "lon": -7.65239, |
| "name": "Bouskoura" |
| }, |
| "question": "Is Bouskoura approximately on the direct path from Wallingford Center to Masindi?", |
| "ground_truth": { |
| "answer": true, |
| "direct_distance_km": 11087.3, |
| "via_waypoint_km": 11093.4, |
| "detour_km": 6.0, |
| "detour_percent": 0.1 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Wallingford Center", |
| " End: Masindi", |
| " Waypoint: Bouskoura", |
| "Step 2: Calculate direct distance", |
| " Start → End: 11087.3 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 11093.4 km", |
| "Step 4: Calculate detour", |
| " Detour = 11093.4 - 11087.3 = 6.0 km", |
| " Detour % = (6.0 / 11087.3) × 100 = 0.1%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 0.1% < 10%", |
| "FINAL ANSWER: Yes" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 24.13524, |
| "lon": 74.04442, |
| "name": "Sālūmbar" |
| }, |
| "end": { |
| "lat": 34.8, |
| "lon": 134.98333, |
| "name": "Miki" |
| }, |
| "waypoint": { |
| "lat": 50.36463, |
| "lon": 8.73859, |
| "name": "Bad Nauheim" |
| }, |
| "question": "Is Bad Nauheim approximately on the direct path from Sālūmbar to Miki?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 5928.8, |
| "via_waypoint_km": 15413.4, |
| "detour_km": 9484.6, |
| "detour_percent": 160.0 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Sālūmbar", |
| " End: Miki", |
| " Waypoint: Bad Nauheim", |
| "Step 2: Calculate direct distance", |
| " Start → End: 5928.8 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 15413.4 km", |
| "Step 4: Calculate detour", |
| " Detour = 15413.4 - 5928.8 = 9484.6 km", |
| " Detour % = (9484.6 / 5928.8) × 100 = 160.0%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 160.0% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 34.83389, |
| "lon": 105.76167, |
| "name": "Wangyin" |
| }, |
| "end": { |
| "lat": 30.3586, |
| "lon": 50.7981, |
| "name": "Dogonbadan" |
| }, |
| "waypoint": { |
| "lat": -9.13333, |
| "lon": 14.76667, |
| "name": "Golungo Alto" |
| }, |
| "question": "Is Golungo Alto approximately on the direct path from Wangyin to Dogonbadan?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 5109.3, |
| "via_waypoint_km": 16514.0, |
| "detour_km": 11404.8, |
| "detour_percent": 223.2 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Wangyin", |
| " End: Dogonbadan", |
| " Waypoint: Golungo Alto", |
| "Step 2: Calculate direct distance", |
| " Start → End: 5109.3 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 16514.0 km", |
| "Step 4: Calculate detour", |
| " Detour = 16514.0 - 5109.3 = 11404.8 km", |
| " Detour % = (11404.8 / 5109.3) × 100 = 223.2%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 223.2% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 30.42059, |
| "lon": -86.61707, |
| "name": "Fort Walton Beach" |
| }, |
| "end": { |
| "lat": 50.41359, |
| "lon": 2.96485, |
| "name": "Hénin-Beaumont" |
| }, |
| "waypoint": { |
| "lat": 27.9837, |
| "lon": 83.75925, |
| "name": "Wāliṅ" |
| }, |
| "question": "Is Wāliṅ approximately on the direct path from Fort Walton Beach to Hénin-Beaumont?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 7425.8, |
| "via_waypoint_km": 20463.1, |
| "detour_km": 13037.3, |
| "detour_percent": 175.6 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Fort Walton Beach", |
| " End: Hénin-Beaumont", |
| " Waypoint: Wāliṅ", |
| "Step 2: Calculate direct distance", |
| " Start → End: 7425.8 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 20463.1 km", |
| "Step 4: Calculate detour", |
| " Detour = 20463.1 - 7425.8 = 13037.3 km", |
| " Detour % = (13037.3 / 7425.8) × 100 = 175.6%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 175.6% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 36.9553, |
| "lon": 45.388, |
| "name": "Naqadeh" |
| }, |
| "end": { |
| "lat": 6.743, |
| "lon": 6.14029, |
| "name": "Ekpoma" |
| }, |
| "waypoint": { |
| "lat": 51.50467, |
| "lon": 6.54587, |
| "name": "Kamp-Lintfort" |
| }, |
| "question": "Is Kamp-Lintfort approximately on the direct path from Naqadeh to Ekpoma?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 5198.7, |
| "via_waypoint_km": 8414.8, |
| "detour_km": 3216.2, |
| "detour_percent": 61.9 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Naqadeh", |
| " End: Ekpoma", |
| " Waypoint: Kamp-Lintfort", |
| "Step 2: Calculate direct distance", |
| " Start → End: 5198.7 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 8414.8 km", |
| "Step 4: Calculate detour", |
| " Detour = 8414.8 - 5198.7 = 3216.2 km", |
| " Detour % = (3216.2 / 5198.7) × 100 = 61.9%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 61.9% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 51.41387, |
| "lon": -2.4978, |
| "name": "Keynsham" |
| }, |
| "end": { |
| "lat": 11.28421, |
| "lon": 49.18158, |
| "name": "Bosaso" |
| }, |
| "waypoint": { |
| "lat": 0.89444, |
| "lon": 33.49944, |
| "name": "Kaliro" |
| }, |
| "question": "Is Kaliro approximately on the direct path from Keynsham to Bosaso?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 6432.1, |
| "via_waypoint_km": 8629.3, |
| "detour_km": 2197.2, |
| "detour_percent": 34.2 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Keynsham", |
| " End: Bosaso", |
| " Waypoint: Kaliro", |
| "Step 2: Calculate direct distance", |
| " Start → End: 6432.1 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 8629.3 km", |
| "Step 4: Calculate detour", |
| " Detour = 8629.3 - 6432.1 = 2197.2 km", |
| " Detour % = (2197.2 / 6432.1) × 100 = 34.2%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 34.2% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": -19.96778, |
| "lon": -44.19833, |
| "name": "Betim" |
| }, |
| "end": { |
| "lat": -2.9075, |
| "lon": 29.8306, |
| "name": "Ngozi" |
| }, |
| "waypoint": { |
| "lat": 40.89105, |
| "lon": 26.90201, |
| "name": "Malkara" |
| }, |
| "question": "Is Malkara approximately on the direct path from Betim to Ngozi?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 8228.7, |
| "via_waypoint_km": 14844.8, |
| "detour_km": 6616.1, |
| "detour_percent": 80.4 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Betim", |
| " End: Ngozi", |
| " Waypoint: Malkara", |
| "Step 2: Calculate direct distance", |
| " Start → End: 8228.7 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 14844.8 km", |
| "Step 4: Calculate detour", |
| " Detour = 14844.8 - 8228.7 = 6616.1 km", |
| " Detour % = (6616.1 / 8228.7) × 100 = 80.4%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 80.4% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 12.34172, |
| "lon": 76.58629, |
| "name": "Hutagalli" |
| }, |
| "end": { |
| "lat": 50.76331, |
| "lon": 37.86415, |
| "name": "Novy Oskol" |
| }, |
| "waypoint": { |
| "lat": -41.31667, |
| "lon": 173.23333, |
| "name": "Stoke" |
| }, |
| "question": "Is Stoke approximately on the direct path from Hutagalli to Novy Oskol?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 5519.3, |
| "via_waypoint_km": 27934.0, |
| "detour_km": 22414.7, |
| "detour_percent": 406.1 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Hutagalli", |
| " End: Novy Oskol", |
| " Waypoint: Stoke", |
| "Step 2: Calculate direct distance", |
| " Start → End: 5519.3 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 27934.0 km", |
| "Step 4: Calculate detour", |
| " Detour = 27934.0 - 5519.3 = 22414.7 km", |
| " Detour % = (22414.7 / 5519.3) × 100 = 406.1%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 406.1% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": -14.66429, |
| "lon": -52.35859, |
| "name": "Nova Xavantina" |
| }, |
| "end": { |
| "lat": 44.92754, |
| "lon": 127.16039, |
| "name": "Wuchang" |
| }, |
| "waypoint": { |
| "lat": 32.09543, |
| "lon": -96.46887, |
| "name": "Corsicana" |
| }, |
| "question": "Is Corsicana approximately on the direct path from Nova Xavantina to Wuchang?", |
| "ground_truth": { |
| "answer": true, |
| "direct_distance_km": 16649.7, |
| "via_waypoint_km": 17388.7, |
| "detour_km": 739.0, |
| "detour_percent": 4.4 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Nova Xavantina", |
| " End: Wuchang", |
| " Waypoint: Corsicana", |
| "Step 2: Calculate direct distance", |
| " Start → End: 16649.7 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 17388.7 km", |
| "Step 4: Calculate detour", |
| " Detour = 17388.7 - 16649.7 = 739.0 km", |
| " Detour % = (739.0 / 16649.7) × 100 = 4.4%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 4.4% < 10%", |
| "FINAL ANSWER: Yes" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 34.86526, |
| "lon": -120.436, |
| "name": "Orcutt" |
| }, |
| "end": { |
| "lat": -17.03917, |
| "lon": -39.53111, |
| "name": "Itamaraju" |
| }, |
| "waypoint": { |
| "lat": -7.07444, |
| "lon": -40.37611, |
| "name": "Campos Sales" |
| }, |
| "question": "Is Campos Sales approximately on the direct path from Orcutt to Itamaraju?", |
| "ground_truth": { |
| "answer": true, |
| "direct_distance_km": 10284.8, |
| "via_waypoint_km": 10672.1, |
| "detour_km": 387.3, |
| "detour_percent": 3.8 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Orcutt", |
| " End: Itamaraju", |
| " Waypoint: Campos Sales", |
| "Step 2: Calculate direct distance", |
| " Start → End: 10284.8 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 10672.1 km", |
| "Step 4: Calculate detour", |
| " Detour = 10672.1 - 10284.8 = 387.3 km", |
| " Detour % = (387.3 / 10284.8) × 100 = 3.8%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 3.8% < 10%", |
| "FINAL ANSWER: Yes" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 26.66317, |
| "lon": 68.00016, |
| "name": "Moro" |
| }, |
| "end": { |
| "lat": 41.00996, |
| "lon": 14.13013, |
| "name": "Casal di Principe" |
| }, |
| "waypoint": { |
| "lat": 17.70217, |
| "lon": 33.98638, |
| "name": "Atbara" |
| }, |
| "question": "Is Atbara approximately on the direct path from Moro to Casal di Principe?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 5137.8, |
| "via_waypoint_km": 6839.8, |
| "detour_km": 1701.9, |
| "detour_percent": 33.1 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Moro", |
| " End: Casal di Principe", |
| " Waypoint: Atbara", |
| "Step 2: Calculate direct distance", |
| " Start → End: 5137.8 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 6839.8 km", |
| "Step 4: Calculate detour", |
| " Detour = 6839.8 - 5137.8 = 1701.9 km", |
| " Detour % = (1701.9 / 5137.8) × 100 = 33.1%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 33.1% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 46.29192, |
| "lon": 7.53559, |
| "name": "Sierre" |
| }, |
| "end": { |
| "lat": 9.0661, |
| "lon": -79.42577, |
| "name": "Pedregal" |
| }, |
| "waypoint": { |
| "lat": 36.077, |
| "lon": -87.38779, |
| "name": "Dickson" |
| }, |
| "question": "Is Dickson approximately on the direct path from Sierre to Pedregal?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 9047.8, |
| "via_waypoint_km": 10649.3, |
| "detour_km": 1601.6, |
| "detour_percent": 17.7 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Sierre", |
| " End: Pedregal", |
| " Waypoint: Dickson", |
| "Step 2: Calculate direct distance", |
| " Start → End: 9047.8 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 10649.3 km", |
| "Step 4: Calculate detour", |
| " Detour = 10649.3 - 9047.8 = 1601.6 km", |
| " Detour % = (1601.6 / 9047.8) × 100 = 17.7%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 17.7% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": -12.6275, |
| "lon": -38.68, |
| "name": "São Francisco do Conde" |
| }, |
| "end": { |
| "lat": -21.01111, |
| "lon": -40.83389, |
| "name": "Itapemirim" |
| }, |
| "waypoint": { |
| "lat": 26.59034, |
| "lon": 12.77511, |
| "name": "Ubari" |
| }, |
| "question": "Is Ubari approximately on the direct path from São Francisco do Conde to Itapemirim?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 959.9, |
| "via_waypoint_km": 14895.8, |
| "detour_km": 13935.8, |
| "detour_percent": 1451.8 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: São Francisco do Conde", |
| " End: Itapemirim", |
| " Waypoint: Ubari", |
| "Step 2: Calculate direct distance", |
| " Start → End: 959.9 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 14895.8 km", |
| "Step 4: Calculate detour", |
| " Detour = 14895.8 - 959.9 = 13935.8 km", |
| " Detour % = (13935.8 / 959.9) × 100 = 1451.8%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 1451.8% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 33.43443, |
| "lon": -5.22126, |
| "name": "Azrou" |
| }, |
| "end": { |
| "lat": -3.96333, |
| "lon": -45.65833, |
| "name": "Santa Luzia" |
| }, |
| "waypoint": { |
| "lat": -29.66917, |
| "lon": -52.78889, |
| "name": "Candelária" |
| }, |
| "question": "Is Candelária approximately on the direct path from Azrou to Santa Luzia?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 5943.0, |
| "via_waypoint_km": 11572.4, |
| "detour_km": 5629.4, |
| "detour_percent": 94.7 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Azrou", |
| " End: Santa Luzia", |
| " Waypoint: Candelária", |
| "Step 2: Calculate direct distance", |
| " Start → End: 5943.0 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 11572.4 km", |
| "Step 4: Calculate detour", |
| " Detour = 11572.4 - 5943.0 = 5629.4 km", |
| " Detour % = (5629.4 / 5943.0) × 100 = 94.7%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 94.7% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 5.0847, |
| "lon": -1.35093, |
| "name": "Elmina" |
| }, |
| "end": { |
| "lat": 11.28333, |
| "lon": 36.21667, |
| "name": "Mambuk" |
| }, |
| "waypoint": { |
| "lat": 39.49472, |
| "lon": 125.47361, |
| "name": "Sil-li" |
| }, |
| "question": "Is Sil-li approximately on the direct path from Elmina to Mambuk?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 4188.2, |
| "via_waypoint_km": 21809.1, |
| "detour_km": 17620.9, |
| "detour_percent": 420.7 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Elmina", |
| " End: Mambuk", |
| " Waypoint: Sil-li", |
| "Step 2: Calculate direct distance", |
| " Start → End: 4188.2 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 21809.1 km", |
| "Step 4: Calculate detour", |
| " Detour = 21809.1 - 4188.2 = 17620.9 km", |
| " Detour % = (17620.9 / 4188.2) × 100 = 420.7%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 420.7% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 51.61667, |
| "lon": 5.54861, |
| "name": "Veghel" |
| }, |
| "end": { |
| "lat": 1.34917, |
| "lon": 103.84361, |
| "name": "Thomson" |
| }, |
| "waypoint": { |
| "lat": 14.70802, |
| "lon": 101.41614, |
| "name": "Pak Chong" |
| }, |
| "question": "Is Pak Chong approximately on the direct path from Veghel to Thomson?", |
| "ground_truth": { |
| "answer": true, |
| "direct_distance_km": 10460.9, |
| "via_waypoint_km": 10637.1, |
| "detour_km": 176.2, |
| "detour_percent": 1.7 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Veghel", |
| " End: Thomson", |
| " Waypoint: Pak Chong", |
| "Step 2: Calculate direct distance", |
| " Start → End: 10460.9 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 10637.1 km", |
| "Step 4: Calculate detour", |
| " Detour = 10637.1 - 10460.9 = 176.2 km", |
| " Detour % = (176.2 / 10460.9) × 100 = 1.7%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 1.7% < 10%", |
| "FINAL ANSWER: Yes" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": -25.44472, |
| "lon": -49.1925, |
| "name": "Pinhais" |
| }, |
| "end": { |
| "lat": -33.7511, |
| "lon": 151.28886, |
| "name": "Dee Why" |
| }, |
| "waypoint": { |
| "lat": -5.24586, |
| "lon": 39.76659, |
| "name": "Chake Chake" |
| }, |
| "question": "Is Chake Chake approximately on the direct path from Pinhais to Dee Why?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 13086.2, |
| "via_waypoint_km": 21289.9, |
| "detour_km": 8203.6, |
| "detour_percent": 62.7 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Pinhais", |
| " End: Dee Why", |
| " Waypoint: Chake Chake", |
| "Step 2: Calculate direct distance", |
| " Start → End: 13086.2 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 21289.9 km", |
| "Step 4: Calculate detour", |
| " Detour = 21289.9 - 13086.2 = 8203.6 km", |
| " Detour % = (8203.6 / 13086.2) × 100 = 62.7%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 62.7% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 50.98318, |
| "lon": 4.46079, |
| "name": "Zemst" |
| }, |
| "end": { |
| "lat": 5.13825, |
| "lon": -5.02123, |
| "name": "Grand-Lahou" |
| }, |
| "waypoint": { |
| "lat": 0.63278, |
| "lon": 30.62139, |
| "name": "Kyenjojo" |
| }, |
| "question": "Is Kyenjojo approximately on the direct path from Zemst to Grand-Lahou?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 5173.4, |
| "via_waypoint_km": 10104.1, |
| "detour_km": 4930.8, |
| "detour_percent": 95.3 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Zemst", |
| " End: Grand-Lahou", |
| " Waypoint: Kyenjojo", |
| "Step 2: Calculate direct distance", |
| " Start → End: 5173.4 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 10104.1 km", |
| "Step 4: Calculate detour", |
| " Detour = 10104.1 - 5173.4 = 4930.8 km", |
| " Detour % = (4930.8 / 5173.4) × 100 = 95.3%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 95.3% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 37.49773, |
| "lon": 13.26676, |
| "name": "Ribera" |
| }, |
| "end": { |
| "lat": 27.5, |
| "lon": 83.45, |
| "name": "Siddharthanagar" |
| }, |
| "waypoint": { |
| "lat": 5.01789, |
| "lon": -72.74675, |
| "name": "Tauramena" |
| }, |
| "question": "Is Tauramena approximately on the direct path from Ribera to Siddharthanagar?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 6526.1, |
| "via_waypoint_km": 24904.2, |
| "detour_km": 18378.1, |
| "detour_percent": 281.6 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Ribera", |
| " End: Siddharthanagar", |
| " Waypoint: Tauramena", |
| "Step 2: Calculate direct distance", |
| " Start → End: 6526.1 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 24904.2 km", |
| "Step 4: Calculate detour", |
| " Detour = 24904.2 - 6526.1 = 18378.1 km", |
| " Detour % = (18378.1 / 6526.1) × 100 = 281.6%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 281.6% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 57.88227, |
| "lon": 54.71827, |
| "name": "Ochër" |
| }, |
| "end": { |
| "lat": 45.19275, |
| "lon": 5.68821, |
| "name": "Fontaine" |
| }, |
| "waypoint": { |
| "lat": -5.16667, |
| "lon": 38.78333, |
| "name": "Muheza" |
| }, |
| "question": "Is Muheza approximately on the direct path from Ochër to Fontaine?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 3576.1, |
| "via_waypoint_km": 13648.2, |
| "detour_km": 10072.1, |
| "detour_percent": 281.7 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Ochër", |
| " End: Fontaine", |
| " Waypoint: Muheza", |
| "Step 2: Calculate direct distance", |
| " Start → End: 3576.1 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 13648.2 km", |
| "Step 4: Calculate detour", |
| " Detour = 13648.2 - 3576.1 = 10072.1 km", |
| " Detour % = (10072.1 / 3576.1) × 100 = 281.7%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 281.7% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": -28.87097, |
| "lon": 31.89961, |
| "name": "eSikhaleni" |
| }, |
| "end": { |
| "lat": -36.90694, |
| "lon": 174.68704, |
| "name": "New Lynn" |
| }, |
| "waypoint": { |
| "lat": 48.57784, |
| "lon": -3.82792, |
| "name": "Morlaix" |
| }, |
| "question": "Is Morlaix approximately on the direct path from eSikhaleni to New Lynn?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 11734.2, |
| "via_waypoint_km": 28028.1, |
| "detour_km": 16294.0, |
| "detour_percent": 138.9 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: eSikhaleni", |
| " End: New Lynn", |
| " Waypoint: Morlaix", |
| "Step 2: Calculate direct distance", |
| " Start → End: 11734.2 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 28028.1 km", |
| "Step 4: Calculate detour", |
| " Detour = 28028.1 - 11734.2 = 16294.0 km", |
| " Detour % = (16294.0 / 11734.2) × 100 = 138.9%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 138.9% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": -24.95583, |
| "lon": -53.45528, |
| "name": "Cascavel" |
| }, |
| "end": { |
| "lat": -8.13389, |
| "lon": -35.85639, |
| "name": "Riacho das Almas" |
| }, |
| "waypoint": { |
| "lat": 39.3635, |
| "lon": -0.45949, |
| "name": "Picassent" |
| }, |
| "question": "Is Picassent approximately on the direct path from Cascavel to Riacho das Almas?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 2642.6, |
| "via_waypoint_km": 15438.1, |
| "detour_km": 12795.5, |
| "detour_percent": 484.2 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Cascavel", |
| " End: Riacho das Almas", |
| " Waypoint: Picassent", |
| "Step 2: Calculate direct distance", |
| " Start → End: 2642.6 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 15438.1 km", |
| "Step 4: Calculate detour", |
| " Detour = 15438.1 - 2642.6 = 12795.5 km", |
| " Detour % = (12795.5 / 2642.6) × 100 = 484.2%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 484.2% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": -21.53549, |
| "lon": -64.72956, |
| "name": "Tarija" |
| }, |
| "end": { |
| "lat": -13.18222, |
| "lon": -39.425, |
| "name": "Laje" |
| }, |
| "waypoint": { |
| "lat": -2.5845, |
| "lon": 30.0959, |
| "name": "Kirundo" |
| }, |
| "question": "Is Kirundo approximately on the direct path from Tarija to Laje?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 2836.9, |
| "via_waypoint_km": 18125.8, |
| "detour_km": 15289.0, |
| "detour_percent": 538.9 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Tarija", |
| " End: Laje", |
| " Waypoint: Kirundo", |
| "Step 2: Calculate direct distance", |
| " Start → End: 2836.9 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 18125.8 km", |
| "Step 4: Calculate detour", |
| " Detour = 18125.8 - 2836.9 = 15289.0 km", |
| " Detour % = (15289.0 / 2836.9) × 100 = 538.9%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 538.9% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 34.6178, |
| "lon": 71.97247, |
| "name": "Bat Khela" |
| }, |
| "end": { |
| "lat": 43.52259, |
| "lon": 125.65948, |
| "name": "Shuangyang" |
| }, |
| "waypoint": { |
| "lat": -28.33057, |
| "lon": 28.99087, |
| "name": "Tshiame" |
| }, |
| "question": "Is Tshiame approximately on the direct path from Bat Khela to Shuangyang?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 4656.3, |
| "via_waypoint_km": 20965.2, |
| "detour_km": 16308.9, |
| "detour_percent": 350.3 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Bat Khela", |
| " End: Shuangyang", |
| " Waypoint: Tshiame", |
| "Step 2: Calculate direct distance", |
| " Start → End: 4656.3 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 20965.2 km", |
| "Step 4: Calculate detour", |
| " Detour = 20965.2 - 4656.3 = 16308.9 km", |
| " Detour % = (16308.9 / 4656.3) × 100 = 350.3%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 350.3% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 51.23074, |
| "lon": 5.31349, |
| "name": "Lommel" |
| }, |
| "end": { |
| "lat": -29.33528, |
| "lon": -49.72694, |
| "name": "Torres" |
| }, |
| "waypoint": { |
| "lat": 6.14978, |
| "lon": 6.78569, |
| "name": "Onitsha" |
| }, |
| "question": "Is Onitsha approximately on the direct path from Lommel to Torres?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 10448.7, |
| "via_waypoint_km": 12220.3, |
| "detour_km": 1771.6, |
| "detour_percent": 17.0 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Lommel", |
| " End: Torres", |
| " Waypoint: Onitsha", |
| "Step 2: Calculate direct distance", |
| " Start → End: 10448.7 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 12220.3 km", |
| "Step 4: Calculate detour", |
| " Detour = 12220.3 - 10448.7 = 1771.6 km", |
| " Detour % = (1771.6 / 10448.7) × 100 = 17.0%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 17.0% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 15.03425, |
| "lon": 120.68445, |
| "name": "San Fernando" |
| }, |
| "end": { |
| "lat": 16.69605, |
| "lon": 76.8422, |
| "name": "Shāhpur" |
| }, |
| "waypoint": { |
| "lat": -33.8178, |
| "lon": 151.00348, |
| "name": "Parramatta" |
| }, |
| "question": "Is Parramatta approximately on the direct path from San Fernando to Shāhpur?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 4683.7, |
| "via_waypoint_km": 15952.8, |
| "detour_km": 11269.1, |
| "detour_percent": 240.6 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: San Fernando", |
| " End: Shāhpur", |
| " Waypoint: Parramatta", |
| "Step 2: Calculate direct distance", |
| " Start → End: 4683.7 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 15952.8 km", |
| "Step 4: Calculate detour", |
| " Detour = 15952.8 - 4683.7 = 11269.1 km", |
| " Detour % = (11269.1 / 4683.7) × 100 = 240.6%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 240.6% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 51.66667, |
| "lon": 124.4, |
| "name": "Xinlin" |
| }, |
| "end": { |
| "lat": 25.80722, |
| "lon": 109.2125, |
| "name": "Long’e" |
| }, |
| "waypoint": { |
| "lat": -22.46917, |
| "lon": -48.9875, |
| "name": "Agudos" |
| }, |
| "question": "Is Agudos approximately on the direct path from Xinlin to Long’e?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 3148.3, |
| "via_waypoint_km": 34493.8, |
| "detour_km": 31345.5, |
| "detour_percent": 995.6 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Xinlin", |
| " End: Long’e", |
| " Waypoint: Agudos", |
| "Step 2: Calculate direct distance", |
| " Start → End: 3148.3 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 34493.8 km", |
| "Step 4: Calculate detour", |
| " Detour = 34493.8 - 3148.3 = 31345.5 km", |
| " Detour % = (31345.5 / 3148.3) × 100 = 995.6%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 995.6% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 42.37093, |
| "lon": -71.18283, |
| "name": "Watertown" |
| }, |
| "end": { |
| "lat": -10.49167, |
| "lon": -37.19333, |
| "name": "Nossa Senhora das Dores" |
| }, |
| "waypoint": { |
| "lat": 35.65087, |
| "lon": 139.79163, |
| "name": "Toyosu" |
| }, |
| "question": "Is Toyosu approximately on the direct path from Watertown to Nossa Senhora das Dores?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 6820.7, |
| "via_waypoint_km": 27987.3, |
| "detour_km": 21166.6, |
| "detour_percent": 310.3 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Watertown", |
| " End: Nossa Senhora das Dores", |
| " Waypoint: Toyosu", |
| "Step 2: Calculate direct distance", |
| " Start → End: 6820.7 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 27987.3 km", |
| "Step 4: Calculate detour", |
| " Detour = 27987.3 - 6820.7 = 21166.6 km", |
| " Detour % = (21166.6 / 6820.7) × 100 = 310.3%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 310.3% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 11.49333, |
| "lon": 78.03119, |
| "name": "Mallasamudram" |
| }, |
| "end": { |
| "lat": 39.12074, |
| "lon": 27.18052, |
| "name": "Bergama" |
| }, |
| "waypoint": { |
| "lat": 43.61211, |
| "lon": -116.39151, |
| "name": "Meridian" |
| }, |
| "question": "Is Meridian approximately on the direct path from Mallasamudram to Bergama?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 5862.2, |
| "via_waypoint_km": 23829.8, |
| "detour_km": 17967.5, |
| "detour_percent": 306.5 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Mallasamudram", |
| " End: Bergama", |
| " Waypoint: Meridian", |
| "Step 2: Calculate direct distance", |
| " Start → End: 5862.2 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 23829.8 km", |
| "Step 4: Calculate detour", |
| " Detour = 23829.8 - 5862.2 = 17967.5 km", |
| " Detour % = (17967.5 / 5862.2) × 100 = 306.5%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 306.5% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 32.94716, |
| "lon": 130.57446, |
| "name": "Tamana" |
| }, |
| "end": { |
| "lat": 35.61376, |
| "lon": 36.56449, |
| "name": "Kafranbel" |
| }, |
| "waypoint": { |
| "lat": 45.25145, |
| "lon": 38.12129, |
| "name": "Slavyansk-na-Kubani" |
| }, |
| "question": "Is Slavyansk-na-Kubani approximately on the direct path from Tamana to Kafranbel?", |
| "ground_truth": { |
| "answer": true, |
| "direct_distance_km": 8272.4, |
| "via_waypoint_km": 8734.4, |
| "detour_km": 462.0, |
| "detour_percent": 5.6 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Tamana", |
| " End: Kafranbel", |
| " Waypoint: Slavyansk-na-Kubani", |
| "Step 2: Calculate direct distance", |
| " Start → End: 8272.4 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 8734.4 km", |
| "Step 4: Calculate detour", |
| " Detour = 8734.4 - 8272.4 = 462.0 km", |
| " Detour % = (462.0 / 8272.4) × 100 = 5.6%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 5.6% < 10%", |
| "FINAL ANSWER: Yes" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 36.08333, |
| "lon": 140.11667, |
| "name": "Tsukuba" |
| }, |
| "end": { |
| "lat": 19.37766, |
| "lon": -70.41719, |
| "name": "Salcedo" |
| }, |
| "waypoint": { |
| "lat": 41.31649, |
| "lon": -73.09316, |
| "name": "Shelton" |
| }, |
| "question": "Is Shelton approximately on the direct path from Tsukuba to Salcedo?", |
| "ground_truth": { |
| "answer": true, |
| "direct_distance_km": 13061.8, |
| "via_waypoint_km": 13220.2, |
| "detour_km": 158.4, |
| "detour_percent": 1.2 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Tsukuba", |
| " End: Salcedo", |
| " Waypoint: Shelton", |
| "Step 2: Calculate direct distance", |
| " Start → End: 13061.8 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 13220.2 km", |
| "Step 4: Calculate detour", |
| " Detour = 13220.2 - 13061.8 = 158.4 km", |
| " Detour % = (158.4 / 13061.8) × 100 = 1.2%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 1.2% < 10%", |
| "FINAL ANSWER: Yes" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 3.80315, |
| "lon": 42.54417, |
| "name": "Luuq" |
| }, |
| "end": { |
| "lat": -15.48211, |
| "lon": 28.35099, |
| "name": "Chisankane" |
| }, |
| "waypoint": { |
| "lat": 9.8857, |
| "lon": 76.37328, |
| "name": "Manakunnam" |
| }, |
| "question": "Is Manakunnam approximately on the direct path from Luuq to Chisankane?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 2653.2, |
| "via_waypoint_km": 9786.6, |
| "detour_km": 7133.4, |
| "detour_percent": 268.9 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Luuq", |
| " End: Chisankane", |
| " Waypoint: Manakunnam", |
| "Step 2: Calculate direct distance", |
| " Start → End: 2653.2 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 9786.6 km", |
| "Step 4: Calculate detour", |
| " Detour = 9786.6 - 2653.2 = 7133.4 km", |
| " Detour % = (7133.4 / 2653.2) × 100 = 268.9%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 268.9% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 22.27194, |
| "lon": -101.98602, |
| "name": "Loreto" |
| }, |
| "end": { |
| "lat": 32.95457, |
| "lon": -97.01501, |
| "name": "Coppell" |
| }, |
| "waypoint": { |
| "lat": 11.52941, |
| "lon": -2.76797, |
| "name": "Fara Department" |
| }, |
| "question": "Is Fara Department approximately on the direct path from Loreto to Coppell?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 1284.4, |
| "via_waypoint_km": 20153.3, |
| "detour_km": 18869.0, |
| "detour_percent": 1469.1 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Loreto", |
| " End: Coppell", |
| " Waypoint: Fara Department", |
| "Step 2: Calculate direct distance", |
| " Start → End: 1284.4 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 20153.3 km", |
| "Step 4: Calculate detour", |
| " Detour = 20153.3 - 1284.4 = 18869.0 km", |
| " Detour % = (18869.0 / 1284.4) × 100 = 1469.1%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 1469.1% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 53.05962, |
| "lon": 60.64125, |
| "name": "Kartaly" |
| }, |
| "end": { |
| "lat": 51.48897, |
| "lon": -0.13699, |
| "name": "Pimlico" |
| }, |
| "waypoint": { |
| "lat": 30.16036, |
| "lon": 105.93403, |
| "name": "Shanghe" |
| }, |
| "question": "Is Shanghe approximately on the direct path from Kartaly to Pimlico?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 4013.0, |
| "via_waypoint_km": 12873.7, |
| "detour_km": 8860.7, |
| "detour_percent": 220.8 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Kartaly", |
| " End: Pimlico", |
| " Waypoint: Shanghe", |
| "Step 2: Calculate direct distance", |
| " Start → End: 4013.0 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 12873.7 km", |
| "Step 4: Calculate detour", |
| " Detour = 12873.7 - 4013.0 = 8860.7 km", |
| " Detour % = (8860.7 / 4013.0) × 100 = 220.8%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 220.8% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 47.18213, |
| "lon": 8.46358, |
| "name": "Cham" |
| }, |
| "end": { |
| "lat": 54.90465, |
| "lon": -1.38222, |
| "name": "Sunderland" |
| }, |
| "waypoint": { |
| "lat": 1.23909, |
| "lon": 23.61598, |
| "name": "Basoko" |
| }, |
| "question": "Is Basoko approximately on the direct path from Cham to Sunderland?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 1098.4, |
| "via_waypoint_km": 11698.4, |
| "detour_km": 10600.0, |
| "detour_percent": 965.0 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Cham", |
| " End: Sunderland", |
| " Waypoint: Basoko", |
| "Step 2: Calculate direct distance", |
| " Start → End: 1098.4 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 11698.4 km", |
| "Step 4: Calculate detour", |
| " Detour = 11698.4 - 1098.4 = 10600.0 km", |
| " Detour % = (10600.0 / 1098.4) × 100 = 965.0%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 965.0% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 47.47305, |
| "lon": 19.07971, |
| "name": "Középső-Ferencváros" |
| }, |
| "end": { |
| "lat": -11.61667, |
| "lon": -38.8, |
| "name": "Biritinga" |
| }, |
| "waypoint": { |
| "lat": -34.38333, |
| "lon": -72.0, |
| "name": "Pichilemu" |
| }, |
| "question": "Is Pichilemu approximately on the direct path from Középső-Ferencváros to Biritinga?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 8701.0, |
| "via_waypoint_km": 17019.5, |
| "detour_km": 8318.4, |
| "detour_percent": 95.6 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Középső-Ferencváros", |
| " End: Biritinga", |
| " Waypoint: Pichilemu", |
| "Step 2: Calculate direct distance", |
| " Start → End: 8701.0 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 17019.5 km", |
| "Step 4: Calculate detour", |
| " Detour = 17019.5 - 8701.0 = 8318.4 km", |
| " Detour % = (8318.4 / 8701.0) × 100 = 95.6%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 95.6% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 32.80755, |
| "lon": -116.93642, |
| "name": "Bostonia" |
| }, |
| "end": { |
| "lat": 32.59702, |
| "lon": 74.14652, |
| "name": "Sook Kalan" |
| }, |
| "waypoint": { |
| "lat": -20.81972, |
| "lon": -49.37944, |
| "name": "São José do Rio Preto" |
| }, |
| "question": "Is São José do Rio Preto approximately on the direct path from Bostonia to Sook Kalan?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 12650.2, |
| "via_waypoint_km": 23642.7, |
| "detour_km": 10992.5, |
| "detour_percent": 86.9 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Bostonia", |
| " End: Sook Kalan", |
| " Waypoint: São José do Rio Preto", |
| "Step 2: Calculate direct distance", |
| " Start → End: 12650.2 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 23642.7 km", |
| "Step 4: Calculate detour", |
| " Detour = 23642.7 - 12650.2 = 10992.5 km", |
| " Detour % = (10992.5 / 12650.2) × 100 = 86.9%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 86.9% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 5.27247, |
| "lon": -3.59625, |
| "name": "Bonoua" |
| }, |
| "end": { |
| "lat": 55.63755, |
| "lon": 37.76438, |
| "name": "Brateyevo" |
| }, |
| "waypoint": { |
| "lat": 4.2323, |
| "lon": 100.6298, |
| "name": "Lumut" |
| }, |
| "question": "Is Lumut approximately on the direct path from Bonoua to Brateyevo?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 6688.6, |
| "via_waypoint_km": 19481.8, |
| "detour_km": 12793.2, |
| "detour_percent": 191.3 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Bonoua", |
| " End: Brateyevo", |
| " Waypoint: Lumut", |
| "Step 2: Calculate direct distance", |
| " Start → End: 6688.6 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 19481.8 km", |
| "Step 4: Calculate detour", |
| " Detour = 19481.8 - 6688.6 = 12793.2 km", |
| " Detour % = (12793.2 / 6688.6) × 100 = 191.3%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 191.3% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 5.56054, |
| "lon": -6.58997, |
| "name": "Oupoyo" |
| }, |
| "end": { |
| "lat": 20.93453, |
| "lon": 85.18788, |
| "name": "Ghantapada" |
| }, |
| "waypoint": { |
| "lat": 7.76593, |
| "lon": -72.23576, |
| "name": "San Cristóbal" |
| }, |
| "question": "Is San Cristóbal approximately on the direct path from Oupoyo to Ghantapada?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 9970.7, |
| "via_waypoint_km": 23229.6, |
| "detour_km": 13258.9, |
| "detour_percent": 133.0 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Oupoyo", |
| " End: Ghantapada", |
| " Waypoint: San Cristóbal", |
| "Step 2: Calculate direct distance", |
| " Start → End: 9970.7 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 23229.6 km", |
| "Step 4: Calculate detour", |
| " Detour = 23229.6 - 9970.7 = 13258.9 km", |
| " Detour % = (13258.9 / 9970.7) × 100 = 133.0%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 133.0% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 32.44879, |
| "lon": -81.78317, |
| "name": "Statesboro" |
| }, |
| "end": { |
| "lat": 47.29323, |
| "lon": 5.00457, |
| "name": "Chenôve" |
| }, |
| "waypoint": { |
| "lat": -30.89083, |
| "lon": -55.53278, |
| "name": "Sant'Ana do Livramento" |
| }, |
| "question": "Is Sant'Ana do Livramento approximately on the direct path from Statesboro to Chenôve?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 7201.5, |
| "via_waypoint_km": 18153.3, |
| "detour_km": 10951.9, |
| "detour_percent": 152.1 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Statesboro", |
| " End: Chenôve", |
| " Waypoint: Sant'Ana do Livramento", |
| "Step 2: Calculate direct distance", |
| " Start → End: 7201.5 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 18153.3 km", |
| "Step 4: Calculate detour", |
| " Detour = 18153.3 - 7201.5 = 10951.9 km", |
| " Detour % = (10951.9 / 7201.5) × 100 = 152.1%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 152.1% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 44.07926, |
| "lon": 10.09789, |
| "name": "Carrara" |
| }, |
| "end": { |
| "lat": -17.16639, |
| "lon": -40.33, |
| "name": "Itanhém" |
| }, |
| "waypoint": { |
| "lat": 33.68318, |
| "lon": 1.01927, |
| "name": "El Bayadh" |
| }, |
| "question": "Is El Bayadh approximately on the direct path from Carrara to Itanhém?", |
| "ground_truth": { |
| "answer": true, |
| "direct_distance_km": 8516.3, |
| "via_waypoint_km": 8549.3, |
| "detour_km": 33.0, |
| "detour_percent": 0.4 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Carrara", |
| " End: Itanhém", |
| " Waypoint: El Bayadh", |
| "Step 2: Calculate direct distance", |
| " Start → End: 8516.3 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 8549.3 km", |
| "Step 4: Calculate detour", |
| " Detour = 8549.3 - 8516.3 = 33.0 km", |
| " Detour % = (33.0 / 8516.3) × 100 = 0.4%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 0.4% < 10%", |
| "FINAL ANSWER: Yes" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 7.22097, |
| "lon": 2.34017, |
| "name": "Cové" |
| }, |
| "end": { |
| "lat": 25.41117, |
| "lon": 86.65925, |
| "name": "Gogri Jamālpur" |
| }, |
| "waypoint": { |
| "lat": 27.14872, |
| "lon": 79.50078, |
| "name": "Chhibrāmau" |
| }, |
| "question": "Is Chhibrāmau approximately on the direct path from Cové to Gogri Jamālpur?", |
| "ground_truth": { |
| "answer": true, |
| "direct_distance_km": 9095.7, |
| "via_waypoint_km": 9113.8, |
| "detour_km": 18.1, |
| "detour_percent": 0.2 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Cové", |
| " End: Gogri Jamālpur", |
| " Waypoint: Chhibrāmau", |
| "Step 2: Calculate direct distance", |
| " Start → End: 9095.7 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 9113.8 km", |
| "Step 4: Calculate detour", |
| " Detour = 9113.8 - 9095.7 = 18.1 km", |
| " Detour % = (18.1 / 9095.7) × 100 = 0.2%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 0.2% < 10%", |
| "FINAL ANSWER: Yes" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 35.68184, |
| "lon": 140.04152, |
| "name": "Narashino" |
| }, |
| "end": { |
| "lat": 26.49471, |
| "lon": 78.61593, |
| "name": "Mahgawān" |
| }, |
| "waypoint": { |
| "lat": 44.69776, |
| "lon": 7.85128, |
| "name": "Bra" |
| }, |
| "question": "Is Bra approximately on the direct path from Narashino to Mahgawān?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 5844.5, |
| "via_waypoint_km": 16362.6, |
| "detour_km": 10518.1, |
| "detour_percent": 180.0 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Narashino", |
| " End: Mahgawān", |
| " Waypoint: Bra", |
| "Step 2: Calculate direct distance", |
| " Start → End: 5844.5 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 16362.6 km", |
| "Step 4: Calculate detour", |
| " Detour = 16362.6 - 5844.5 = 10518.1 km", |
| " Detour % = (10518.1 / 5844.5) × 100 = 180.0%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 180.0% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 40.71427, |
| "lon": -73.83097, |
| "name": "Kew Gardens" |
| }, |
| "end": { |
| "lat": 34.65918, |
| "lon": 109.22921, |
| "name": "Yanliang" |
| }, |
| "waypoint": { |
| "lat": 44.69825, |
| "lon": 10.63125, |
| "name": "Reggio nell'Emilia" |
| }, |
| "question": "Is Reggio nell'Emilia approximately on the direct path from Kew Gardens to Yanliang?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 11628.1, |
| "via_waypoint_km": 14574.1, |
| "detour_km": 2946.0, |
| "detour_percent": 25.3 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Kew Gardens", |
| " End: Yanliang", |
| " Waypoint: Reggio nell'Emilia", |
| "Step 2: Calculate direct distance", |
| " Start → End: 11628.1 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 14574.1 km", |
| "Step 4: Calculate detour", |
| " Detour = 14574.1 - 11628.1 = 2946.0 km", |
| " Detour % = (2946.0 / 11628.1) × 100 = 25.3%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 25.3% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 10.76695, |
| "lon": 75.92523, |
| "name": "Ponnāni" |
| }, |
| "end": { |
| "lat": 40.41189, |
| "lon": -3.65682, |
| "name": "Media Legua" |
| }, |
| "waypoint": { |
| "lat": 13.98333, |
| "lon": -14.8, |
| "name": "Koungheul" |
| }, |
| "question": "Is Koungheul approximately on the direct path from Ponnāni to Media Legua?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 8355.8, |
| "via_waypoint_km": 12929.0, |
| "detour_km": 4573.2, |
| "detour_percent": 54.7 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Ponnāni", |
| " End: Media Legua", |
| " Waypoint: Koungheul", |
| "Step 2: Calculate direct distance", |
| " Start → End: 8355.8 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 12929.0 km", |
| "Step 4: Calculate detour", |
| " Detour = 12929.0 - 8355.8 = 4573.2 km", |
| " Detour % = (4573.2 / 8355.8) × 100 = 54.7%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 54.7% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 24.32342, |
| "lon": 75.65204, |
| "name": "Garot" |
| }, |
| "end": { |
| "lat": -0.96667, |
| "lon": 30.45, |
| "name": "Mabare" |
| }, |
| "waypoint": { |
| "lat": 14.76361, |
| "lon": -16.6916, |
| "name": "Khombole" |
| }, |
| "question": "Is Khombole approximately on the direct path from Garot to Mabare?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 5624.0, |
| "via_waypoint_km": 15039.5, |
| "detour_km": 9415.5, |
| "detour_percent": 167.4 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Garot", |
| " End: Mabare", |
| " Waypoint: Khombole", |
| "Step 2: Calculate direct distance", |
| " Start → End: 5624.0 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 15039.5 km", |
| "Step 4: Calculate detour", |
| " Detour = 15039.5 - 5624.0 = 9415.5 km", |
| " Detour % = (9415.5 / 5624.0) × 100 = 167.4%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 167.4% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 50.05197, |
| "lon": 72.95497, |
| "name": "Temirtau" |
| }, |
| "end": { |
| "lat": 18.62828, |
| "lon": 98.89572, |
| "name": "San Pa Tong" |
| }, |
| "waypoint": { |
| "lat": 49.29504, |
| "lon": 8.69846, |
| "name": "Wiesloch" |
| }, |
| "question": "Is Wiesloch approximately on the direct path from Temirtau to San Pa Tong?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 4183.6, |
| "via_waypoint_km": 12940.7, |
| "detour_km": 8757.1, |
| "detour_percent": 209.3 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Temirtau", |
| " End: San Pa Tong", |
| " Waypoint: Wiesloch", |
| "Step 2: Calculate direct distance", |
| " Start → End: 4183.6 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 12940.7 km", |
| "Step 4: Calculate detour", |
| " Detour = 12940.7 - 4183.6 = 8757.1 km", |
| " Detour % = (8757.1 / 4183.6) × 100 = 209.3%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 209.3% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 39.62441, |
| "lon": 19.92016, |
| "name": "Corfu" |
| }, |
| "end": { |
| "lat": 36.05659, |
| "lon": 138.0451, |
| "name": "Okaya" |
| }, |
| "waypoint": { |
| "lat": 18.08124, |
| "lon": -88.56328, |
| "name": "Orange Walk" |
| }, |
| "question": "Is Orange Walk approximately on the direct path from Corfu to Okaya?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 9485.6, |
| "via_waypoint_km": 22479.0, |
| "detour_km": 12993.4, |
| "detour_percent": 137.0 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Corfu", |
| " End: Okaya", |
| " Waypoint: Orange Walk", |
| "Step 2: Calculate direct distance", |
| " Start → End: 9485.6 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 22479.0 km", |
| "Step 4: Calculate detour", |
| " Detour = 22479.0 - 9485.6 = 12993.4 km", |
| " Detour % = (12993.4 / 9485.6) × 100 = 137.0%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 137.0% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 33.20004, |
| "lon": -117.24254, |
| "name": "Vista" |
| }, |
| "end": { |
| "lat": 9.23458, |
| "lon": 76.47326, |
| "name": "Cheppad" |
| }, |
| "waypoint": { |
| "lat": 28.82306, |
| "lon": 30.89903, |
| "name": "Al Fashn" |
| }, |
| "question": "Is Al Fashn approximately on the direct path from Vista to Cheppad?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 15078.2, |
| "via_waypoint_km": 17564.9, |
| "detour_km": 2486.7, |
| "detour_percent": 16.5 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Vista", |
| " End: Cheppad", |
| " Waypoint: Al Fashn", |
| "Step 2: Calculate direct distance", |
| " Start → End: 15078.2 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 17564.9 km", |
| "Step 4: Calculate detour", |
| " Detour = 17564.9 - 15078.2 = 2486.7 km", |
| " Detour % = (2486.7 / 15078.2) × 100 = 16.5%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 16.5% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 35.50472, |
| "lon": 119.26694, |
| "name": "Chentuan" |
| }, |
| "end": { |
| "lat": 24.64648, |
| "lon": 75.94325, |
| "name": "Rāmganj Mandi" |
| }, |
| "waypoint": { |
| "lat": 18.48278, |
| "lon": -69.88914, |
| "name": "Villa Francisca" |
| }, |
| "question": "Is Villa Francisca approximately on the direct path from Chentuan to Rāmganj Mandi?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 4302.9, |
| "via_waypoint_km": 27892.3, |
| "detour_km": 23589.4, |
| "detour_percent": 548.2 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Chentuan", |
| " End: Rāmganj Mandi", |
| " Waypoint: Villa Francisca", |
| "Step 2: Calculate direct distance", |
| " Start → End: 4302.9 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 27892.3 km", |
| "Step 4: Calculate detour", |
| " Detour = 27892.3 - 4302.9 = 23589.4 km", |
| " Detour % = (23589.4 / 4302.9) × 100 = 548.2%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 548.2% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 28.78169, |
| "lon": 108.68258, |
| "name": "Tonggu" |
| }, |
| "end": { |
| "lat": 8.24661, |
| "lon": 77.26171, |
| "name": "Kappiyara" |
| }, |
| "waypoint": { |
| "lat": -22.82223, |
| "lon": 47.82615, |
| "name": "Farafangana" |
| }, |
| "question": "Is Farafangana approximately on the direct path from Tonggu to Kappiyara?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 4000.3, |
| "via_waypoint_km": 13392.8, |
| "detour_km": 9392.4, |
| "detour_percent": 234.8 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Tonggu", |
| " End: Kappiyara", |
| " Waypoint: Farafangana", |
| "Step 2: Calculate direct distance", |
| " Start → End: 4000.3 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 13392.8 km", |
| "Step 4: Calculate detour", |
| " Detour = 13392.8 - 4000.3 = 9392.4 km", |
| " Detour % = (9392.4 / 4000.3) × 100 = 234.8%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 234.8% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 9.73586, |
| "lon": -75.52626, |
| "name": "San Onofre" |
| }, |
| "end": { |
| "lat": 41.40392, |
| "lon": 2.20413, |
| "name": "el Poblenou" |
| }, |
| "waypoint": { |
| "lat": 35.71126, |
| "lon": -78.61417, |
| "name": "Garner" |
| }, |
| "question": "Is Garner approximately on the direct path from San Onofre to el Poblenou?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 8272.7, |
| "via_waypoint_km": 9699.7, |
| "detour_km": 1426.9, |
| "detour_percent": 17.2 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: San Onofre", |
| " End: el Poblenou", |
| " Waypoint: Garner", |
| "Step 2: Calculate direct distance", |
| " Start → End: 8272.7 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 9699.7 km", |
| "Step 4: Calculate detour", |
| " Detour = 9699.7 - 8272.7 = 1426.9 km", |
| " Detour % = (1426.9 / 8272.7) × 100 = 17.2%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 17.2% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 19.38119, |
| "lon": -99.13685, |
| "name": "Colonia Nativitas" |
| }, |
| "end": { |
| "lat": 40.24537, |
| "lon": -75.64963, |
| "name": "Pottstown" |
| }, |
| "waypoint": { |
| "lat": -11.07, |
| "lon": -77.59944, |
| "name": "Huaura" |
| }, |
| "question": "Is Huaura approximately on the direct path from Colonia Nativitas to Pottstown?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 3222.7, |
| "via_waypoint_km": 9836.6, |
| "detour_km": 6613.9, |
| "detour_percent": 205.2 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Colonia Nativitas", |
| " End: Pottstown", |
| " Waypoint: Huaura", |
| "Step 2: Calculate direct distance", |
| " Start → End: 3222.7 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 9836.6 km", |
| "Step 4: Calculate detour", |
| " Detour = 9836.6 - 3222.7 = 6613.9 km", |
| " Detour % = (6613.9 / 3222.7) × 100 = 205.2%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 205.2% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 53.6554, |
| "lon": 52.442, |
| "name": "Buguruslan" |
| }, |
| "end": { |
| "lat": 53.58399, |
| "lon": 9.97585, |
| "name": "Hoheluft-Ost" |
| }, |
| "waypoint": { |
| "lat": 42.21389, |
| "lon": 20.73972, |
| "name": "Prizren" |
| }, |
| "question": "Is Prizren approximately on the direct path from Buguruslan to Hoheluft-Ost?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 2758.7, |
| "via_waypoint_km": 4145.4, |
| "detour_km": 1386.7, |
| "detour_percent": 50.3 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Buguruslan", |
| " End: Hoheluft-Ost", |
| " Waypoint: Prizren", |
| "Step 2: Calculate direct distance", |
| " Start → End: 2758.7 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 4145.4 km", |
| "Step 4: Calculate detour", |
| " Detour = 4145.4 - 2758.7 = 1386.7 km", |
| " Detour % = (1386.7 / 2758.7) × 100 = 50.3%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 50.3% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 37.26638, |
| "lon": -6.94004, |
| "name": "Huelva" |
| }, |
| "end": { |
| "lat": -31.83291, |
| "lon": 115.7759, |
| "name": "Duncraig" |
| }, |
| "waypoint": { |
| "lat": 9.08297, |
| "lon": 3.85196, |
| "name": "Kisi" |
| }, |
| "question": "Is Kisi approximately on the direct path from Huelva to Duncraig?", |
| "ground_truth": { |
| "answer": true, |
| "direct_distance_km": 14813.5, |
| "via_waypoint_km": 15921.5, |
| "detour_km": 1108.1, |
| "detour_percent": 7.5 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Huelva", |
| " End: Duncraig", |
| " Waypoint: Kisi", |
| "Step 2: Calculate direct distance", |
| " Start → End: 14813.5 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 15921.5 km", |
| "Step 4: Calculate detour", |
| " Detour = 15921.5 - 14813.5 = 1108.1 km", |
| " Detour % = (1108.1 / 14813.5) × 100 = 7.5%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 7.5% < 10%", |
| "FINAL ANSWER: Yes" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 38.11858, |
| "lon": 140.72434, |
| "name": "Murata" |
| }, |
| "end": { |
| "lat": 35.74708, |
| "lon": 51.27739, |
| "name": "Andīsheh" |
| }, |
| "waypoint": { |
| "lat": 42.64125, |
| "lon": 18.10909, |
| "name": "Dubrovnik" |
| }, |
| "question": "Is Dubrovnik approximately on the direct path from Murata to Andīsheh?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 7614.9, |
| "via_waypoint_km": 12268.2, |
| "detour_km": 4653.3, |
| "detour_percent": 61.1 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Murata", |
| " End: Andīsheh", |
| " Waypoint: Dubrovnik", |
| "Step 2: Calculate direct distance", |
| " Start → End: 7614.9 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 12268.2 km", |
| "Step 4: Calculate detour", |
| " Detour = 12268.2 - 7614.9 = 4653.3 km", |
| " Detour % = (4653.3 / 7614.9) × 100 = 61.1%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 61.1% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 19.66658, |
| "lon": -99.09477, |
| "name": "San Pablo de las Salinas" |
| }, |
| "end": { |
| "lat": 49.68657, |
| "lon": -124.9936, |
| "name": "Courtenay" |
| }, |
| "waypoint": { |
| "lat": 25.19725, |
| "lon": 73.29117, |
| "name": "Bāli" |
| }, |
| "question": "Is Bāli approximately on the direct path from San Pablo de las Salinas to Courtenay?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 4050.0, |
| "via_waypoint_km": 26453.1, |
| "detour_km": 22403.1, |
| "detour_percent": 553.2 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: San Pablo de las Salinas", |
| " End: Courtenay", |
| " Waypoint: Bāli", |
| "Step 2: Calculate direct distance", |
| " Start → End: 4050.0 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 26453.1 km", |
| "Step 4: Calculate detour", |
| " Detour = 26453.1 - 4050.0 = 22403.1 km", |
| " Detour % = (22403.1 / 4050.0) × 100 = 553.2%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 553.2% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": -17.7425, |
| "lon": -46.1725, |
| "name": "João Pinheiro" |
| }, |
| "end": { |
| "lat": 42.67037, |
| "lon": -71.30201, |
| "name": "Dracut" |
| }, |
| "waypoint": { |
| "lat": -27.38985, |
| "lon": 30.95469, |
| "name": "Frischgewaagd" |
| }, |
| "question": "Is Frischgewaagd approximately on the direct path from João Pinheiro to Dracut?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 7193.6, |
| "via_waypoint_km": 20858.6, |
| "detour_km": 13665.0, |
| "detour_percent": 190.0 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: João Pinheiro", |
| " End: Dracut", |
| " Waypoint: Frischgewaagd", |
| "Step 2: Calculate direct distance", |
| " Start → End: 7193.6 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 20858.6 km", |
| "Step 4: Calculate detour", |
| " Detour = 20858.6 - 7193.6 = 13665.0 km", |
| " Detour % = (13665.0 / 7193.6) × 100 = 190.0%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 190.0% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 8.42729, |
| "lon": -82.43085, |
| "name": "David" |
| }, |
| "end": { |
| "lat": -34.46262, |
| "lon": -57.83976, |
| "name": "Colonia del Sacramento" |
| }, |
| "waypoint": { |
| "lat": 50.87325, |
| "lon": 5.5184, |
| "name": "Bilzen" |
| }, |
| "question": "Is Bilzen approximately on the direct path from David to Colonia del Sacramento?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 5426.3, |
| "via_waypoint_km": 20465.5, |
| "detour_km": 15039.2, |
| "detour_percent": 277.2 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: David", |
| " End: Colonia del Sacramento", |
| " Waypoint: Bilzen", |
| "Step 2: Calculate direct distance", |
| " Start → End: 5426.3 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 20465.5 km", |
| "Step 4: Calculate detour", |
| " Detour = 20465.5 - 5426.3 = 15039.2 km", |
| " Detour % = (15039.2 / 5426.3) × 100 = 277.2%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 277.2% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 2.8663, |
| "lon": 98.5211, |
| "name": "Paropo" |
| }, |
| "end": { |
| "lat": 37.05944, |
| "lon": 37.3825, |
| "name": "Gaziantep" |
| }, |
| "waypoint": { |
| "lat": 34.81667, |
| "lon": 135.41667, |
| "name": "Kawanishi" |
| }, |
| "question": "Is Kawanishi approximately on the direct path from Paropo to Gaziantep?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 7282.2, |
| "via_waypoint_km": 13587.3, |
| "detour_km": 6305.1, |
| "detour_percent": 86.6 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Paropo", |
| " End: Gaziantep", |
| " Waypoint: Kawanishi", |
| "Step 2: Calculate direct distance", |
| " Start → End: 7282.2 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 13587.3 km", |
| "Step 4: Calculate detour", |
| " Detour = 13587.3 - 7282.2 = 6305.1 km", |
| " Detour % = (6305.1 / 7282.2) × 100 = 86.6%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 86.6% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 42.55352, |
| "lon": -8.99094, |
| "name": "Santa Uxía de Ribeira" |
| }, |
| "end": { |
| "lat": 43.80467, |
| "lon": 131.95734, |
| "name": "Ussuriysk" |
| }, |
| "waypoint": { |
| "lat": -23.425, |
| "lon": -49.72083, |
| "name": "Carlópolis" |
| }, |
| "question": "Is Carlópolis approximately on the direct path from Santa Uxía de Ribeira to Ussuriysk?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 9655.3, |
| "via_waypoint_km": 26185.1, |
| "detour_km": 16529.8, |
| "detour_percent": 171.2 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Santa Uxía de Ribeira", |
| " End: Ussuriysk", |
| " Waypoint: Carlópolis", |
| "Step 2: Calculate direct distance", |
| " Start → End: 9655.3 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 26185.1 km", |
| "Step 4: Calculate detour", |
| " Detour = 26185.1 - 9655.3 = 16529.8 km", |
| " Detour % = (16529.8 / 9655.3) × 100 = 171.2%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 171.2% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 9.00525, |
| "lon": -62.64493, |
| "name": "Temblador" |
| }, |
| "end": { |
| "lat": -4.44696, |
| "lon": -49.11556, |
| "name": "Jacundá" |
| }, |
| "waypoint": { |
| "lat": 23.87972, |
| "lon": 100.09455, |
| "name": "Lincang" |
| }, |
| "question": "Is Lincang approximately on the direct path from Temblador to Jacundá?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 2118.2, |
| "via_waypoint_km": 31978.0, |
| "detour_km": 29859.8, |
| "detour_percent": 1409.7 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Temblador", |
| " End: Jacundá", |
| " Waypoint: Lincang", |
| "Step 2: Calculate direct distance", |
| " Start → End: 2118.2 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 31978.0 km", |
| "Step 4: Calculate detour", |
| " Detour = 31978.0 - 2118.2 = 29859.8 km", |
| " Detour % = (29859.8 / 2118.2) × 100 = 1409.7%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 1409.7% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 33.97918, |
| "lon": -118.03284, |
| "name": "Whittier" |
| }, |
| "end": { |
| "lat": -27.35364, |
| "lon": 152.96848, |
| "name": "Albany Creek" |
| }, |
| "waypoint": { |
| "lat": 33.80101, |
| "lon": 130.68422, |
| "name": "Inokura" |
| }, |
| "question": "Is Inokura approximately on the direct path from Whittier to Albany Creek?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 11577.5, |
| "via_waypoint_km": 16814.5, |
| "detour_km": 5237.0, |
| "detour_percent": 45.2 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Whittier", |
| " End: Albany Creek", |
| " Waypoint: Inokura", |
| "Step 2: Calculate direct distance", |
| " Start → End: 11577.5 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 16814.5 km", |
| "Step 4: Calculate detour", |
| " Detour = 16814.5 - 11577.5 = 5237.0 km", |
| " Detour % = (5237.0 / 11577.5) × 100 = 45.2%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 45.2% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 16.41904, |
| "lon": 101.16056, |
| "name": "Phetchabun" |
| }, |
| "end": { |
| "lat": -33.91667, |
| "lon": 151.03333, |
| "name": "Bankstown" |
| }, |
| "waypoint": { |
| "lat": 38.25424, |
| "lon": -85.75941, |
| "name": "Louisville" |
| }, |
| "question": "Is Louisville approximately on the direct path from Phetchabun to Bankstown?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 7693.4, |
| "via_waypoint_km": 28861.7, |
| "detour_km": 21168.3, |
| "detour_percent": 275.1 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Phetchabun", |
| " End: Bankstown", |
| " Waypoint: Louisville", |
| "Step 2: Calculate direct distance", |
| " Start → End: 7693.4 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 28861.7 km", |
| "Step 4: Calculate detour", |
| " Detour = 28861.7 - 7693.4 = 21168.3 km", |
| " Detour % = (21168.3 / 7693.4) × 100 = 275.1%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 275.1% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 18.88333, |
| "lon": -98.865, |
| "name": "Yecapixtla" |
| }, |
| "end": { |
| "lat": 48.66497, |
| "lon": 2.56957, |
| "name": "Combs-la-Ville" |
| }, |
| "waypoint": { |
| "lat": 36.16286, |
| "lon": 6.16651, |
| "name": "Chelghoum el Aïd" |
| }, |
| "question": "Is Chelghoum el Aïd approximately on the direct path from Yecapixtla to Combs-la-Ville?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 9246.8, |
| "via_waypoint_km": 11473.8, |
| "detour_km": 2227.0, |
| "detour_percent": 24.1 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Yecapixtla", |
| " End: Combs-la-Ville", |
| " Waypoint: Chelghoum el Aïd", |
| "Step 2: Calculate direct distance", |
| " Start → End: 9246.8 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 11473.8 km", |
| "Step 4: Calculate detour", |
| " Detour = 11473.8 - 9246.8 = 2227.0 km", |
| " Detour % = (2227.0 / 9246.8) × 100 = 24.1%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 24.1% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 42.44113, |
| "lon": 129.74601, |
| "name": "Hoeryŏng" |
| }, |
| "end": { |
| "lat": -14.28361, |
| "lon": -39.84278, |
| "name": "Itagibá" |
| }, |
| "waypoint": { |
| "lat": 17.80787, |
| "lon": -97.77956, |
| "name": "Ciudad de Huajuapan de León" |
| }, |
| "question": "Is Ciudad de Huajuapan de León approximately on the direct path from Hoeryŏng to Itagibá?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 16728.7, |
| "via_waypoint_km": 19022.3, |
| "detour_km": 2293.6, |
| "detour_percent": 13.7 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Hoeryŏng", |
| " End: Itagibá", |
| " Waypoint: Ciudad de Huajuapan de León", |
| "Step 2: Calculate direct distance", |
| " Start → End: 16728.7 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 19022.3 km", |
| "Step 4: Calculate detour", |
| " Detour = 19022.3 - 16728.7 = 2293.6 km", |
| " Detour % = (2293.6 / 16728.7) × 100 = 13.7%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 13.7% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 56.70153, |
| "lon": 36.77305, |
| "name": "Konakovo" |
| }, |
| "end": { |
| "lat": 49.64868, |
| "lon": -1.65306, |
| "name": "Équeurdreville-Hainneville" |
| }, |
| "waypoint": { |
| "lat": 52.99063, |
| "lon": 123.23522, |
| "name": "Xilinji" |
| }, |
| "question": "Is Xilinji approximately on the direct path from Konakovo to Équeurdreville-Hainneville?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 2638.8, |
| "via_waypoint_km": 12660.5, |
| "detour_km": 10021.7, |
| "detour_percent": 379.8 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Konakovo", |
| " End: Équeurdreville-Hainneville", |
| " Waypoint: Xilinji", |
| "Step 2: Calculate direct distance", |
| " Start → End: 2638.8 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 12660.5 km", |
| "Step 4: Calculate detour", |
| " Detour = 12660.5 - 2638.8 = 10021.7 km", |
| " Detour % = (10021.7 / 2638.8) × 100 = 379.8%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 379.8% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 28.98, |
| "lon": 79.4, |
| "name": "Rudrapur" |
| }, |
| "end": { |
| "lat": 39.72746, |
| "lon": 64.55466, |
| "name": "Kogon Shahri" |
| }, |
| "waypoint": { |
| "lat": 40.82149, |
| "lon": -73.98764, |
| "name": "Cliffside Park" |
| }, |
| "question": "Is Cliffside Park approximately on the direct path from Rudrapur to Kogon Shahri?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 1808.0, |
| "via_waypoint_km": 21908.0, |
| "detour_km": 20100.0, |
| "detour_percent": 1111.7 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Rudrapur", |
| " End: Kogon Shahri", |
| " Waypoint: Cliffside Park", |
| "Step 2: Calculate direct distance", |
| " Start → End: 1808.0 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 21908.0 km", |
| "Step 4: Calculate detour", |
| " Detour = 21908.0 - 1808.0 = 20100.0 km", |
| " Detour % = (20100.0 / 1808.0) × 100 = 1111.7%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 1111.7% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 39.23054, |
| "lon": 9.11917, |
| "name": "Cagliari" |
| }, |
| "end": { |
| "lat": 43.85495, |
| "lon": 41.59019, |
| "name": "Zelenchukskaya" |
| }, |
| "waypoint": { |
| "lat": -33.01327, |
| "lon": -71.26084, |
| "name": "Limache" |
| }, |
| "question": "Is Limache approximately on the direct path from Cagliari to Zelenchukskaya?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 2732.6, |
| "via_waypoint_km": 25731.4, |
| "detour_km": 22998.8, |
| "detour_percent": 841.7 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Cagliari", |
| " End: Zelenchukskaya", |
| " Waypoint: Limache", |
| "Step 2: Calculate direct distance", |
| " Start → End: 2732.6 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 25731.4 km", |
| "Step 4: Calculate detour", |
| " Detour = 25731.4 - 2732.6 = 22998.8 km", |
| " Detour % = (22998.8 / 2732.6) × 100 = 841.7%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 841.7% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 10.21187, |
| "lon": 11.3871, |
| "name": "Deba" |
| }, |
| "end": { |
| "lat": 13.46729, |
| "lon": 14.71352, |
| "name": "Bol" |
| }, |
| "waypoint": { |
| "lat": 7.2, |
| "lon": 35.45, |
| "name": "Tēpī" |
| }, |
| "question": "Is Tēpī approximately on the direct path from Deba to Bol?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 511.9, |
| "via_waypoint_km": 5036.6, |
| "detour_km": 4524.7, |
| "detour_percent": 883.9 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Deba", |
| " End: Bol", |
| " Waypoint: Tēpī", |
| "Step 2: Calculate direct distance", |
| " Start → End: 511.9 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 5036.6 km", |
| "Step 4: Calculate detour", |
| " Detour = 5036.6 - 511.9 = 4524.7 km", |
| " Detour % = (4524.7 / 511.9) × 100 = 883.9%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 883.9% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": -37.74981, |
| "lon": 144.9109, |
| "name": "Essendon" |
| }, |
| "end": { |
| "lat": 55.81904, |
| "lon": 37.32984, |
| "name": "Krasnogorsk" |
| }, |
| "waypoint": { |
| "lat": 45.44979, |
| "lon": -73.6015, |
| "name": "Ville-Émard" |
| }, |
| "question": "Is Ville-Émard approximately on the direct path from Essendon to Krasnogorsk?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 14437.5, |
| "via_waypoint_km": 23777.2, |
| "detour_km": 9339.6, |
| "detour_percent": 64.7 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Essendon", |
| " End: Krasnogorsk", |
| " Waypoint: Ville-Émard", |
| "Step 2: Calculate direct distance", |
| " Start → End: 14437.5 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 23777.2 km", |
| "Step 4: Calculate detour", |
| " Detour = 23777.2 - 14437.5 = 9339.6 km", |
| " Detour % = (9339.6 / 14437.5) × 100 = 64.7%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 64.7% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 9.06667, |
| "lon": 38.5, |
| "name": "Genet" |
| }, |
| "end": { |
| "lat": 40.3875, |
| "lon": 36.08111, |
| "name": "Turhal" |
| }, |
| "waypoint": { |
| "lat": -6.75639, |
| "lon": -43.02417, |
| "name": "Barão de Grajaú" |
| }, |
| "question": "Is Barão de Grajaú approximately on the direct path from Genet to Turhal?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 3490.9, |
| "via_waypoint_km": 18784.7, |
| "detour_km": 15293.8, |
| "detour_percent": 438.1 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Genet", |
| " End: Turhal", |
| " Waypoint: Barão de Grajaú", |
| "Step 2: Calculate direct distance", |
| " Start → End: 3490.9 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 18784.7 km", |
| "Step 4: Calculate detour", |
| " Detour = 18784.7 - 3490.9 = 15293.8 km", |
| " Detour % = (15293.8 / 3490.9) × 100 = 438.1%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 438.1% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 34.275, |
| "lon": 133.75, |
| "name": "Tadotsu" |
| }, |
| "end": { |
| "lat": 22.42996, |
| "lon": 80.10561, |
| "name": "Nainpur" |
| }, |
| "waypoint": { |
| "lat": 33.93575, |
| "lon": -5.21328, |
| "name": "Aïn Taoujdat" |
| }, |
| "question": "Is Aïn Taoujdat approximately on the direct path from Tadotsu to Nainpur?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 5349.9, |
| "via_waypoint_km": 19536.9, |
| "detour_km": 14187.1, |
| "detour_percent": 265.2 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Tadotsu", |
| " End: Nainpur", |
| " Waypoint: Aïn Taoujdat", |
| "Step 2: Calculate direct distance", |
| " Start → End: 5349.9 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 19536.9 km", |
| "Step 4: Calculate detour", |
| " Detour = 19536.9 - 5349.9 = 14187.1 km", |
| " Detour % = (14187.1 / 5349.9) × 100 = 265.2%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 265.2% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": -22.18556, |
| "lon": -47.39028, |
| "name": "Leme" |
| }, |
| "end": { |
| "lat": 10.19814, |
| "lon": -5.62337, |
| "name": "Niellé" |
| }, |
| "waypoint": { |
| "lat": -17.30192, |
| "lon": 31.33056, |
| "name": "Bindura" |
| }, |
| "question": "Is Bindura approximately on the direct path from Leme to Niellé?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 5804.6, |
| "via_waypoint_km": 13247.9, |
| "detour_km": 7443.3, |
| "detour_percent": 128.2 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Leme", |
| " End: Niellé", |
| " Waypoint: Bindura", |
| "Step 2: Calculate direct distance", |
| " Start → End: 5804.6 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 13247.9 km", |
| "Step 4: Calculate detour", |
| " Detour = 13247.9 - 5804.6 = 7443.3 km", |
| " Detour % = (7443.3 / 5804.6) × 100 = 128.2%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 128.2% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": -26.08577, |
| "lon": 27.77515, |
| "name": "Krugersdorp" |
| }, |
| "end": { |
| "lat": -11.42173, |
| "lon": 15.12345, |
| "name": "Cela" |
| }, |
| "waypoint": { |
| "lat": -23.67463, |
| "lon": -46.68751, |
| "name": "Campo Grande" |
| }, |
| "question": "Is Campo Grande approximately on the direct path from Krugersdorp to Cela?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 2102.2, |
| "via_waypoint_km": 14052.7, |
| "detour_km": 11950.4, |
| "detour_percent": 568.5 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Krugersdorp", |
| " End: Cela", |
| " Waypoint: Campo Grande", |
| "Step 2: Calculate direct distance", |
| " Start → End: 2102.2 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 14052.7 km", |
| "Step 4: Calculate detour", |
| " Detour = 14052.7 - 2102.2 = 11950.4 km", |
| " Detour % = (11950.4 / 2102.2) × 100 = 568.5%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 568.5% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 13.7, |
| "lon": 80.01667, |
| "name": "Sūlūru" |
| }, |
| "end": { |
| "lat": -24.7718, |
| "lon": 25.42156, |
| "name": "Mosopa" |
| }, |
| "waypoint": { |
| "lat": 62.00973, |
| "lon": -6.77164, |
| "name": "Tórshavn" |
| }, |
| "question": "Is Tórshavn approximately on the direct path from Sūlūru to Mosopa?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 7303.2, |
| "via_waypoint_km": 18565.6, |
| "detour_km": 11262.3, |
| "detour_percent": 154.2 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Sūlūru", |
| " End: Mosopa", |
| " Waypoint: Tórshavn", |
| "Step 2: Calculate direct distance", |
| " Start → End: 7303.2 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 18565.6 km", |
| "Step 4: Calculate detour", |
| " Detour = 18565.6 - 7303.2 = 11262.3 km", |
| " Detour % = (11262.3 / 7303.2) × 100 = 154.2%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 154.2% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 37.83605, |
| "lon": 139.22332, |
| "name": "Agano" |
| }, |
| "end": { |
| "lat": 25.36379, |
| "lon": 82.18655, |
| "name": "Handiā" |
| }, |
| "waypoint": { |
| "lat": 51.53622, |
| "lon": -0.10304, |
| "name": "Islington" |
| }, |
| "question": "Is Islington approximately on the direct path from Agano to Handiā?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 5490.7, |
| "via_waypoint_km": 16630.3, |
| "detour_km": 11139.6, |
| "detour_percent": 202.9 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Agano", |
| " End: Handiā", |
| " Waypoint: Islington", |
| "Step 2: Calculate direct distance", |
| " Start → End: 5490.7 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 16630.3 km", |
| "Step 4: Calculate detour", |
| " Detour = 16630.3 - 5490.7 = 11139.6 km", |
| " Detour % = (11139.6 / 5490.7) × 100 = 202.9%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 202.9% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 36.5575, |
| "lon": 116.72722, |
| "name": "Changqing" |
| }, |
| "end": { |
| "lat": 30.37345, |
| "lon": -9.54761, |
| "name": "Dchira El Jihadia" |
| }, |
| "waypoint": { |
| "lat": 52.19166, |
| "lon": -1.70734, |
| "name": "Stratford-upon-Avon" |
| }, |
| "question": "Is Stratford-upon-Avon approximately on the direct path from Changqing to Dchira El Jihadia?", |
| "ground_truth": { |
| "answer": true, |
| "direct_distance_km": 10702.4, |
| "via_waypoint_km": 10998.3, |
| "detour_km": 295.9, |
| "detour_percent": 2.8 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Changqing", |
| " End: Dchira El Jihadia", |
| " Waypoint: Stratford-upon-Avon", |
| "Step 2: Calculate direct distance", |
| " Start → End: 10702.4 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 10998.3 km", |
| "Step 4: Calculate detour", |
| " Detour = 10998.3 - 10702.4 = 295.9 km", |
| " Detour % = (295.9 / 10702.4) × 100 = 2.8%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 2.8% < 10%", |
| "FINAL ANSWER: Yes" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": -9.07508, |
| "lon": -78.59373, |
| "name": "Chimbote" |
| }, |
| "end": { |
| "lat": -2.99983, |
| "lon": 31.93261, |
| "name": "Katoro" |
| }, |
| "waypoint": { |
| "lat": 58.753, |
| "lon": 17.00788, |
| "name": "Nyköping" |
| }, |
| "question": "Is Nyköping approximately on the direct path from Chimbote to Katoro?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 12201.0, |
| "via_waypoint_km": 18184.4, |
| "detour_km": 5983.4, |
| "detour_percent": 49.0 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Chimbote", |
| " End: Katoro", |
| " Waypoint: Nyköping", |
| "Step 2: Calculate direct distance", |
| " Start → End: 12201.0 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 18184.4 km", |
| "Step 4: Calculate detour", |
| " Detour = 18184.4 - 12201.0 = 5983.4 km", |
| " Detour % = (5983.4 / 12201.0) × 100 = 49.0%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 49.0% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": -5.30972, |
| "lon": -38.92056, |
| "name": "Banabuiú" |
| }, |
| "end": { |
| "lat": -1.6558, |
| "lon": 37.37454, |
| "name": "Kinoi" |
| }, |
| "waypoint": { |
| "lat": 42.64725, |
| "lon": -8.88459, |
| "name": "Boiro" |
| }, |
| "question": "Is Boiro approximately on the direct path from Banabuiú to Kinoi?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 8473.4, |
| "via_waypoint_km": 12887.2, |
| "detour_km": 4413.8, |
| "detour_percent": 52.1 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Banabuiú", |
| " End: Kinoi", |
| " Waypoint: Boiro", |
| "Step 2: Calculate direct distance", |
| " Start → End: 8473.4 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 12887.2 km", |
| "Step 4: Calculate detour", |
| " Detour = 12887.2 - 8473.4 = 4413.8 km", |
| " Detour % = (4413.8 / 8473.4) × 100 = 52.1%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 52.1% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 40.42788, |
| "lon": -74.41598, |
| "name": "East Brunswick" |
| }, |
| "end": { |
| "lat": 49.2, |
| "lon": 119.7, |
| "name": "Hailar" |
| }, |
| "waypoint": { |
| "lat": 9.39182, |
| "lon": -70.59061, |
| "name": "Motatán" |
| }, |
| "question": "Is Motatán approximately on the direct path from East Brunswick to Hailar?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 9953.2, |
| "via_waypoint_km": 16894.5, |
| "detour_km": 6941.3, |
| "detour_percent": 69.7 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: East Brunswick", |
| " End: Hailar", |
| " Waypoint: Motatán", |
| "Step 2: Calculate direct distance", |
| " Start → End: 9953.2 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 16894.5 km", |
| "Step 4: Calculate detour", |
| " Detour = 16894.5 - 9953.2 = 6941.3 km", |
| " Detour % = (6941.3 / 9953.2) × 100 = 69.7%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 69.7% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 41.75338, |
| "lon": -86.11084, |
| "name": "Granger" |
| }, |
| "end": { |
| "lat": 8.28903, |
| "lon": 77.10799, |
| "name": "Kollancode" |
| }, |
| "waypoint": { |
| "lat": 43.9298, |
| "lon": 2.148, |
| "name": "Albi" |
| }, |
| "question": "Is Albi approximately on the direct path from Granger to Kollancode?", |
| "ground_truth": { |
| "answer": true, |
| "direct_distance_km": 14193.6, |
| "via_waypoint_km": 14996.6, |
| "detour_km": 803.0, |
| "detour_percent": 5.7 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Granger", |
| " End: Kollancode", |
| " Waypoint: Albi", |
| "Step 2: Calculate direct distance", |
| " Start → End: 14193.6 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 14996.6 km", |
| "Step 4: Calculate detour", |
| " Detour = 14996.6 - 14193.6 = 803.0 km", |
| " Detour % = (803.0 / 14193.6) × 100 = 5.7%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 5.7% < 10%", |
| "FINAL ANSWER: Yes" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 28.30772, |
| "lon": 78.93678, |
| "name": "Bisauli" |
| }, |
| "end": { |
| "lat": 9.90371, |
| "lon": -83.68361, |
| "name": "Turrialba" |
| }, |
| "waypoint": { |
| "lat": 6.1162, |
| "lon": -6.53603, |
| "name": "Grand-Zattry" |
| }, |
| "question": "Is Grand-Zattry approximately on the direct path from Bisauli to Turrialba?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 15373.5, |
| "via_waypoint_km": 17731.9, |
| "detour_km": 2358.5, |
| "detour_percent": 15.3 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Bisauli", |
| " End: Turrialba", |
| " Waypoint: Grand-Zattry", |
| "Step 2: Calculate direct distance", |
| " Start → End: 15373.5 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 17731.9 km", |
| "Step 4: Calculate detour", |
| " Detour = 17731.9 - 15373.5 = 2358.5 km", |
| " Detour % = (2358.5 / 15373.5) × 100 = 15.3%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 15.3% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": -20.84889, |
| "lon": -41.11278, |
| "name": "Cachoeiro de Itapemirim" |
| }, |
| "end": { |
| "lat": -27.35364, |
| "lon": 152.96848, |
| "name": "Albany Creek" |
| }, |
| "waypoint": { |
| "lat": 39.46588, |
| "lon": -0.42589, |
| "name": "Xirivella" |
| }, |
| "question": "Is Xirivella approximately on the direct path from Cachoeiro de Itapemirim to Albany Creek?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 14445.1, |
| "via_waypoint_km": 25144.2, |
| "detour_km": 10699.0, |
| "detour_percent": 74.1 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Cachoeiro de Itapemirim", |
| " End: Albany Creek", |
| " Waypoint: Xirivella", |
| "Step 2: Calculate direct distance", |
| " Start → End: 14445.1 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 25144.2 km", |
| "Step 4: Calculate detour", |
| " Detour = 25144.2 - 14445.1 = 10699.0 km", |
| " Detour % = (10699.0 / 14445.1) × 100 = 74.1%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 74.1% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 12.46399, |
| "lon": 79.3484, |
| "name": "Chetput" |
| }, |
| "end": { |
| "lat": 38.83494, |
| "lon": -90.28511, |
| "name": "Old Jamestown" |
| }, |
| "waypoint": { |
| "lat": 45.07073, |
| "lon": 7.51465, |
| "name": "Rivoli" |
| }, |
| "question": "Is Rivoli approximately on the direct path from Chetput to Old Jamestown?", |
| "ground_truth": { |
| "answer": true, |
| "direct_distance_km": 14210.2, |
| "via_waypoint_km": 15205.6, |
| "detour_km": 995.5, |
| "detour_percent": 7.0 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Chetput", |
| " End: Old Jamestown", |
| " Waypoint: Rivoli", |
| "Step 2: Calculate direct distance", |
| " Start → End: 14210.2 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 15205.6 km", |
| "Step 4: Calculate detour", |
| " Detour = 15205.6 - 14210.2 = 995.5 km", |
| " Detour % = (995.5 / 14210.2) × 100 = 7.0%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 7.0% < 10%", |
| "FINAL ANSWER: Yes" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 38.95627, |
| "lon": -5.86162, |
| "name": "Don Benito" |
| }, |
| "end": { |
| "lat": 20.03421, |
| "lon": 110.34651, |
| "name": "Haikou" |
| }, |
| "waypoint": { |
| "lat": 23.6303, |
| "lon": 85.52156, |
| "name": "Rāmgarh" |
| }, |
| "question": "Is Rāmgarh approximately on the direct path from Don Benito to Haikou?", |
| "ground_truth": { |
| "answer": true, |
| "direct_distance_km": 10692.2, |
| "via_waypoint_km": 11087.4, |
| "detour_km": 395.3, |
| "detour_percent": 3.7 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Don Benito", |
| " End: Haikou", |
| " Waypoint: Rāmgarh", |
| "Step 2: Calculate direct distance", |
| " Start → End: 10692.2 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 11087.4 km", |
| "Step 4: Calculate detour", |
| " Detour = 11087.4 - 10692.2 = 395.3 km", |
| " Detour % = (395.3 / 10692.2) × 100 = 3.7%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 3.7% < 10%", |
| "FINAL ANSWER: Yes" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": -4.04167, |
| "lon": -44.475, |
| "name": "São Mateus do Maranhão" |
| }, |
| "end": { |
| "lat": 6.73156, |
| "lon": -1.6137, |
| "name": "Tafo" |
| }, |
| "waypoint": { |
| "lat": 51.09683, |
| "lon": 6.83167, |
| "name": "Dormagen" |
| }, |
| "question": "Is Dormagen approximately on the direct path from São Mateus do Maranhão to Tafo?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 4906.0, |
| "via_waypoint_km": 12813.7, |
| "detour_km": 7907.7, |
| "detour_percent": 161.2 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: São Mateus do Maranhão", |
| " End: Tafo", |
| " Waypoint: Dormagen", |
| "Step 2: Calculate direct distance", |
| " Start → End: 4906.0 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 12813.7 km", |
| "Step 4: Calculate detour", |
| " Detour = 12813.7 - 4906.0 = 7907.7 km", |
| " Detour % = (7907.7 / 4906.0) × 100 = 161.2%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 161.2% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": -14.75, |
| "lon": 50.21667, |
| "name": "Ampahana" |
| }, |
| "end": { |
| "lat": 53.4669, |
| "lon": 51.4941, |
| "name": "Kinel’-Cherkassy" |
| }, |
| "waypoint": { |
| "lat": 40.03122, |
| "lon": -75.04434, |
| "name": "Tacony" |
| }, |
| "question": "Is Tacony approximately on the direct path from Ampahana to Kinel’-Cherkassy?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 7586.4, |
| "via_waypoint_km": 22465.4, |
| "detour_km": 14879.0, |
| "detour_percent": 196.1 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Ampahana", |
| " End: Kinel’-Cherkassy", |
| " Waypoint: Tacony", |
| "Step 2: Calculate direct distance", |
| " Start → End: 7586.4 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 22465.4 km", |
| "Step 4: Calculate detour", |
| " Detour = 22465.4 - 7586.4 = 14879.0 km", |
| " Detour % = (14879.0 / 7586.4) × 100 = 196.1%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 196.1% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": -7.77639, |
| "lon": -34.89222, |
| "name": "Itapissuma" |
| }, |
| "end": { |
| "lat": 48.22321, |
| "lon": 16.35506, |
| "name": "Alsergrund" |
| }, |
| "waypoint": { |
| "lat": 47.09225, |
| "lon": 5.48966, |
| "name": "Dole" |
| }, |
| "question": "Is Dole approximately on the direct path from Itapissuma to Alsergrund?", |
| "ground_truth": { |
| "answer": true, |
| "direct_distance_km": 7984.1, |
| "via_waypoint_km": 8105.7, |
| "detour_km": 121.6, |
| "detour_percent": 1.5 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Itapissuma", |
| " End: Alsergrund", |
| " Waypoint: Dole", |
| "Step 2: Calculate direct distance", |
| " Start → End: 7984.1 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 8105.7 km", |
| "Step 4: Calculate detour", |
| " Detour = 8105.7 - 7984.1 = 121.6 km", |
| " Detour % = (121.6 / 7984.1) × 100 = 1.5%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 1.5% < 10%", |
| "FINAL ANSWER: Yes" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 33.03699, |
| "lon": -117.29198, |
| "name": "Encinitas" |
| }, |
| "end": { |
| "lat": -8.76234, |
| "lon": 31.11405, |
| "name": "Mpulungu" |
| }, |
| "waypoint": { |
| "lat": -3.98889, |
| "lon": -39.58056, |
| "name": "Tejuçuoca" |
| }, |
| "question": "Is Tejuçuoca approximately on the direct path from Encinitas to Mpulungu?", |
| "ground_truth": { |
| "answer": true, |
| "direct_distance_km": 15797.7, |
| "via_waypoint_km": 16932.9, |
| "detour_km": 1135.3, |
| "detour_percent": 7.2 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Encinitas", |
| " End: Mpulungu", |
| " Waypoint: Tejuçuoca", |
| "Step 2: Calculate direct distance", |
| " Start → End: 15797.7 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 16932.9 km", |
| "Step 4: Calculate detour", |
| " Detour = 16932.9 - 15797.7 = 1135.3 km", |
| " Detour % = (1135.3 / 15797.7) × 100 = 7.2%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 7.2% < 10%", |
| "FINAL ANSWER: Yes" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 42.97866, |
| "lon": -82.40407, |
| "name": "Sarnia" |
| }, |
| "end": { |
| "lat": 38.88095, |
| "lon": -77.30082, |
| "name": "Oakton" |
| }, |
| "waypoint": { |
| "lat": 36.13068, |
| "lon": 68.70829, |
| "name": "Baghlān" |
| }, |
| "question": "Is Baghlān approximately on the direct path from Sarnia to Oakton?", |
| "ground_truth": { |
| "answer": false, |
| "direct_distance_km": 625.4, |
| "via_waypoint_km": 21718.9, |
| "detour_km": 21093.5, |
| "detour_percent": 3372.9 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Sarnia", |
| " End: Oakton", |
| " Waypoint: Baghlān", |
| "Step 2: Calculate direct distance", |
| " Start → End: 625.4 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 21718.9 km", |
| "Step 4: Calculate detour", |
| " Detour = 21718.9 - 625.4 = 21093.5 km", |
| " Detour % = (21093.5 / 625.4) × 100 = 3372.9%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 3372.9% > 10%", |
| "FINAL ANSWER: No" |
| ] |
| }, |
| { |
| "task": "route_analysis", |
| "subtask": "on_route_detection", |
| "start": { |
| "lat": 8.69625, |
| "lon": -69.20832, |
| "name": "Guanarito" |
| }, |
| "end": { |
| "lat": 56.97047, |
| "lon": 60.58219, |
| "name": "Verkhnyaya Pyshma" |
| }, |
| "waypoint": { |
| "lat": 52.2463, |
| "lon": 0.71111, |
| "name": "Bury St Edmunds" |
| }, |
| "question": "Is Bury St Edmunds approximately on the direct path from Guanarito to Verkhnyaya Pyshma?", |
| "ground_truth": { |
| "answer": true, |
| "direct_distance_km": 11408.1, |
| "via_waypoint_km": 11648.1, |
| "detour_km": 240.0, |
| "detour_percent": 2.1 |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify the three points", |
| " Start: Guanarito", |
| " End: Verkhnyaya Pyshma", |
| " Waypoint: Bury St Edmunds", |
| "Step 2: Calculate direct distance", |
| " Start → End: 11408.1 km", |
| "Step 3: Calculate distance via waypoint", |
| " Start → Waypoint → End: 11648.1 km", |
| "Step 4: Calculate detour", |
| " Detour = 11648.1 - 11408.1 = 240.0 km", |
| " Detour % = (240.0 / 11408.1) × 100 = 2.1%", |
| "Step 5: Determine if on route (typically < 10% detour)", |
| " 2.1% < 10%", |
| "FINAL ANSWER: Yes" |
| ] |
| } |
| ] |
|
|
