[ { "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" ] } ]