[ { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 52.18661, "lon": 7.86043, "name": "Lengerich" }, "end": { "lat": 33.89469, "lon": -6.30649, "name": "Tiflet" }, "waypoint": { "lat": 12.86273, "lon": -7.55985, "name": "Koulikoro" }, "question": "Is Koulikoro approximately on the direct path from Lengerich to Tiflet?", "ground_truth": { "answer": false, "direct_distance_km": 2327.8, "via_waypoint_km": 6926.7, "detour_km": 4599.0, "detour_percent": 197.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Lengerich", " End: Tiflet", " Waypoint: Koulikoro", "Step 2: Calculate direct distance", " Start → End: 2327.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 6926.7 km", "Step 4: Calculate detour", " Detour = 6926.7 - 2327.8 = 4599.0 km", " Detour % = (4599.0 / 2327.8) × 100 = 197.6%", "Step 5: Determine if on route (typically < 10% detour)", " 197.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 21.21649, "lon": 79.18545, "name": "Yerkhera" }, "end": { "lat": 27.47315, "lon": 78.3031, "name": "Jalesar" }, "waypoint": { "lat": 17.85289, "lon": -92.93243, "name": "Playas del Rosario" }, "question": "Is Playas del Rosario approximately on the direct path from Yerkhera to Jalesar?", "ground_truth": { "answer": false, "direct_distance_km": 701.4, "via_waypoint_km": 30474.0, "detour_km": 29772.6, "detour_percent": 4244.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Yerkhera", " End: Jalesar", " Waypoint: Playas del Rosario", "Step 2: Calculate direct distance", " Start → End: 701.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 30474.0 km", "Step 4: Calculate detour", " Detour = 30474.0 - 701.4 = 29772.6 km", " Detour % = (29772.6 / 701.4) × 100 = 4244.6%", "Step 5: Determine if on route (typically < 10% detour)", " 4244.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 35.84373, "lon": 139.88347, "name": "Misato, Saitama" }, "end": { "lat": 51.16697, "lon": 4.45127, "name": "Mortsel" }, "waypoint": { "lat": 53.29026, "lon": -6.34151, "name": "South Dublin" }, "question": "Is South Dublin approximately on the direct path from Misato, Saitama to Mortsel?", "ground_truth": { "answer": false, "direct_distance_km": 9407.6, "via_waypoint_km": 10353.7, "detour_km": 946.1, "detour_percent": 10.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Misato, Saitama", " End: Mortsel", " Waypoint: South Dublin", "Step 2: Calculate direct distance", " Start → End: 9407.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 10353.7 km", "Step 4: Calculate detour", " Detour = 10353.7 - 9407.6 = 946.1 km", " Detour % = (946.1 / 9407.6) × 100 = 10.1%", "Step 5: Determine if on route (typically < 10% detour)", " 10.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 5.92829, "lon": -5.02252, "name": "Erémankono" }, "end": { "lat": -15.025, "lon": 38.0425, "name": "Iapala" }, "waypoint": { "lat": 36.01562, "lon": -86.58194, "name": "La Vergne" }, "question": "Is La Vergne approximately on the direct path from Erémankono to Iapala?", "ground_truth": { "answer": false, "direct_distance_km": 5286.4, "via_waypoint_km": 22940.1, "detour_km": 17653.7, "detour_percent": 333.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Erémankono", " End: Iapala", " Waypoint: La Vergne", "Step 2: Calculate direct distance", " Start → End: 5286.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22940.1 km", "Step 4: Calculate detour", " Detour = 22940.1 - 5286.4 = 17653.7 km", " Detour % = (17653.7 / 5286.4) × 100 = 333.9%", "Step 5: Determine if on route (typically < 10% detour)", " 333.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 33.89469, "lon": -6.30649, "name": "Tiflet" }, "end": { "lat": 36.4701, "lon": 2.62528, "name": "El Affroun" }, "waypoint": { "lat": 13.73462, "lon": 100.47608, "name": "Wat Tha Phra" }, "question": "Is Wat Tha Phra approximately on the direct path from Tiflet to El Affroun?", "ground_truth": { "answer": false, "direct_distance_km": 860.4, "via_waypoint_km": 20436.6, "detour_km": 19576.2, "detour_percent": 2275.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Tiflet", " End: El Affroun", " Waypoint: Wat Tha Phra", "Step 2: Calculate direct distance", " Start → End: 860.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20436.6 km", "Step 4: Calculate detour", " Detour = 20436.6 - 860.4 = 19576.2 km", " Detour % = (19576.2 / 860.4) × 100 = 2275.4%", "Step 5: Determine if on route (typically < 10% detour)", " 2275.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 21.12268, "lon": 70.11484, "name": "Māngrol" }, "end": { "lat": 34.90333, "lon": 116.80667, "name": "Longgu" }, "waypoint": { "lat": 42.0501, "lon": -72.58287, "name": "Longmeadow" }, "question": "Is Longmeadow approximately on the direct path from Māngrol to Longgu?", "ground_truth": { "answer": false, "direct_distance_km": 4785.2, "via_waypoint_km": 23418.0, "detour_km": 18632.8, "detour_percent": 389.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Māngrol", " End: Longgu", " Waypoint: Longmeadow", "Step 2: Calculate direct distance", " Start → End: 4785.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23418.0 km", "Step 4: Calculate detour", " Detour = 23418.0 - 4785.2 = 18632.8 km", " Detour % = (18632.8 / 4785.2) × 100 = 389.4%", "Step 5: Determine if on route (typically < 10% detour)", " 389.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -54.28111, "lon": -36.5092, "name": "Grytviken" }, "end": { "lat": 7.0591, "lon": -3.9631, "name": "Daoukro" }, "waypoint": { "lat": 4.8428, "lon": 9.8217, "name": "Manjo" }, "question": "Is Manjo approximately on the direct path from Grytviken to Daoukro?", "ground_truth": { "answer": false, "direct_distance_km": 7464.7, "via_waypoint_km": 9388.0, "detour_km": 1923.3, "detour_percent": 25.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Grytviken", " End: Daoukro", " Waypoint: Manjo", "Step 2: Calculate direct distance", " Start → End: 7464.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 9388.0 km", "Step 4: Calculate detour", " Detour = 9388.0 - 7464.7 = 1923.3 km", " Detour % = (1923.3 / 7464.7) × 100 = 25.8%", "Step 5: Determine if on route (typically < 10% detour)", " 25.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 42.56705, "lon": 47.87546, "name": "Izberbash" }, "end": { "lat": 45.18691, "lon": 0.71439, "name": "Périgueux" }, "waypoint": { "lat": 45.58773, "lon": -73.59501, "name": "Saint-Léonard" }, "question": "Is Saint-Léonard approximately on the direct path from Izberbash to Périgueux?", "ground_truth": { "answer": false, "direct_distance_km": 3737.3, "via_waypoint_km": 14214.4, "detour_km": 10477.1, "detour_percent": 280.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Izberbash", " End: Périgueux", " Waypoint: Saint-Léonard", "Step 2: Calculate direct distance", " Start → End: 3737.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14214.4 km", "Step 4: Calculate detour", " Detour = 14214.4 - 3737.3 = 10477.1 km", " Detour % = (10477.1 / 3737.3) × 100 = 280.3%", "Step 5: Determine if on route (typically < 10% detour)", " 280.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 38.98067, "lon": -76.93692, "name": "College Park" }, "end": { "lat": 12.35, "lon": 29.25, "name": "Abū Zabad" }, "waypoint": { "lat": -7.22436, "lon": -79.42476, "name": "Chepén" }, "question": "Is Chepén approximately on the direct path from College Park to Abū Zabad?", "ground_truth": { "answer": false, "direct_distance_km": 10499.5, "via_waypoint_km": 17343.0, "detour_km": 6843.4, "detour_percent": 65.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: College Park", " End: Abū Zabad", " Waypoint: Chepén", "Step 2: Calculate direct distance", " Start → End: 10499.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17343.0 km", "Step 4: Calculate detour", " Detour = 17343.0 - 10499.5 = 6843.4 km", " Detour % = (6843.4 / 10499.5) × 100 = 65.2%", "Step 5: Determine if on route (typically < 10% detour)", " 65.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 30.63269, "lon": -97.67723, "name": "Georgetown" }, "end": { "lat": 20.89872, "lon": 82.50893, "name": "Khariar Road" }, "waypoint": { "lat": 39.90546, "lon": 66.26556, "name": "Kattaqo’rg’on Shahri" }, "question": "Is Kattaqo’rg’on Shahri approximately on the direct path from Georgetown to Khariar Road?", "ground_truth": { "answer": true, "direct_distance_km": 14285.0, "via_waypoint_km": 14614.5, "detour_km": 329.4, "detour_percent": 2.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Georgetown", " End: Khariar Road", " Waypoint: Kattaqo’rg’on Shahri", "Step 2: Calculate direct distance", " Start → End: 14285.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14614.5 km", "Step 4: Calculate detour", " Detour = 14614.5 - 14285.0 = 329.4 km", " Detour % = (329.4 / 14285.0) × 100 = 2.3%", "Step 5: Determine if on route (typically < 10% detour)", " 2.3% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -3.13901, "lon": -44.32519, "name": "Santa Rita" }, "end": { "lat": -23.54583, "lon": -47.18333, "name": "Mairinque" }, "waypoint": { "lat": 43.91515, "lon": 81.32151, "name": "Ghulja" }, "question": "Is Ghulja approximately on the direct path from Santa Rita to Mairinque?", "ground_truth": { "answer": false, "direct_distance_km": 2289.8, "via_waypoint_km": 27875.9, "detour_km": 25586.1, "detour_percent": 1117.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Santa Rita", " End: Mairinque", " Waypoint: Ghulja", "Step 2: Calculate direct distance", " Start → End: 2289.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 27875.9 km", "Step 4: Calculate detour", " Detour = 27875.9 - 2289.8 = 25586.1 km", " Detour % = (25586.1 / 2289.8) × 100 = 1117.4%", "Step 5: Determine if on route (typically < 10% detour)", " 1117.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 40.08927, "lon": -75.39602, "name": "King of Prussia" }, "end": { "lat": 38.03491, "lon": 23.73811, "name": "Néa Filadélfeia" }, "waypoint": { "lat": 35.5, "lon": 134.23333, "name": "Tottori-shi" }, "question": "Is Tottori-shi approximately on the direct path from King of Prussia to Néa Filadélfeia?", "ground_truth": { "answer": false, "direct_distance_km": 8058.8, "via_waypoint_km": 20235.2, "detour_km": 12176.3, "detour_percent": 151.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: King of Prussia", " End: Néa Filadélfeia", " Waypoint: Tottori-shi", "Step 2: Calculate direct distance", " Start → End: 8058.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20235.2 km", "Step 4: Calculate detour", " Detour = 20235.2 - 8058.8 = 12176.3 km", " Detour % = (12176.3 / 8058.8) × 100 = 151.1%", "Step 5: Determine if on route (typically < 10% detour)", " 151.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -14.24117, "lon": 31.31975, "name": "Petauke" }, "end": { "lat": -14.3779, "lon": 34.33322, "name": "Dedza" }, "waypoint": { "lat": -3.625, "lon": -43.11111, "name": "Mata Roma" }, "question": "Is Mata Roma approximately on the direct path from Petauke to Dedza?", "ground_truth": { "answer": false, "direct_distance_km": 325.0, "via_waypoint_km": 16787.5, "detour_km": 16462.5, "detour_percent": 5064.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Petauke", " End: Dedza", " Waypoint: Mata Roma", "Step 2: Calculate direct distance", " Start → End: 325.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16787.5 km", "Step 4: Calculate detour", " Detour = 16787.5 - 325.0 = 16462.5 km", " Detour % = (16462.5 / 325.0) × 100 = 5064.7%", "Step 5: Determine if on route (typically < 10% detour)", " 5064.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 46.4446, "lon": 134.29342, "name": "Luchegorsk" }, "end": { "lat": 45.33611, "lon": 131.00489, "name": "Chengzihe" }, "waypoint": { "lat": 18.64813, "lon": 72.87579, "name": "Alībāg" }, "question": "Is Alībāg approximately on the direct path from Luchegorsk to Chengzihe?", "ground_truth": { "answer": false, "direct_distance_km": 282.8, "via_waypoint_km": 12415.0, "detour_km": 12132.3, "detour_percent": 4290.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Luchegorsk", " End: Chengzihe", " Waypoint: Alībāg", "Step 2: Calculate direct distance", " Start → End: 282.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12415.0 km", "Step 4: Calculate detour", " Detour = 12415.0 - 282.8 = 12132.3 km", " Detour % = (12132.3 / 282.8) × 100 = 4290.6%", "Step 5: Determine if on route (typically < 10% detour)", " 4290.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -14.20361, "lon": -41.66528, "name": "Brumado" }, "end": { "lat": 13.73028, "lon": 100.65138, "name": "Suan Luang" }, "waypoint": { "lat": 51.47805, "lon": 6.8625, "name": "Oberhausen" }, "question": "Is Oberhausen approximately on the direct path from Brumado to Suan Luang?", "ground_truth": { "answer": false, "direct_distance_km": 15952.9, "via_waypoint_km": 17749.2, "detour_km": 1796.3, "detour_percent": 11.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Brumado", " End: Suan Luang", " Waypoint: Oberhausen", "Step 2: Calculate direct distance", " Start → End: 15952.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17749.2 km", "Step 4: Calculate detour", " Detour = 17749.2 - 15952.9 = 1796.3 km", " Detour % = (1796.3 / 15952.9) × 100 = 11.3%", "Step 5: Determine if on route (typically < 10% detour)", " 11.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -7.46856, "lon": 17.03769, "name": "Cambundi" }, "end": { "lat": -33.60627, "lon": -70.87649, "name": "Peñaflor" }, "waypoint": { "lat": 51.68333, "lon": -3.9, "name": "Clydach" }, "question": "Is Clydach approximately on the direct path from Cambundi to Peñaflor?", "ground_truth": { "answer": false, "direct_distance_km": 9356.6, "via_waypoint_km": 18375.8, "detour_km": 9019.2, "detour_percent": 96.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Cambundi", " End: Peñaflor", " Waypoint: Clydach", "Step 2: Calculate direct distance", " Start → End: 9356.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18375.8 km", "Step 4: Calculate detour", " Detour = 18375.8 - 9356.6 = 9019.2 km", " Detour % = (9019.2 / 9356.6) × 100 = 96.4%", "Step 5: Determine if on route (typically < 10% detour)", " 96.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -15.90852, "lon": -47.94053, "name": "Park Way" }, "end": { "lat": -13.38814, "lon": -44.19868, "name": "Santa Maria da Vitória" }, "waypoint": { "lat": 44.47588, "lon": -73.21207, "name": "Burlington" }, "question": "Is Burlington approximately on the direct path from Park Way to Santa Maria da Vitória?", "ground_truth": { "answer": false, "direct_distance_km": 490.5, "via_waypoint_km": 14256.9, "detour_km": 13766.5, "detour_percent": 2806.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Park Way", " End: Santa Maria da Vitória", " Waypoint: Burlington", "Step 2: Calculate direct distance", " Start → End: 490.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14256.9 km", "Step 4: Calculate detour", " Detour = 14256.9 - 490.5 = 13766.5 km", " Detour % = (13766.5 / 490.5) × 100 = 2806.8%", "Step 5: Determine if on route (typically < 10% detour)", " 2806.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 33.98083, "lon": 35.61778, "name": "Jounieh" }, "end": { "lat": 31.42305, "lon": 34.58911, "name": "Netivot" }, "waypoint": { "lat": 52.48173, "lon": -2.12139, "name": "Brierley Hill" }, "question": "Is Brierley Hill approximately on the direct path from Jounieh to Netivot?", "ground_truth": { "answer": false, "direct_distance_km": 300.3, "via_waypoint_km": 7390.4, "detour_km": 7090.1, "detour_percent": 2361.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Jounieh", " End: Netivot", " Waypoint: Brierley Hill", "Step 2: Calculate direct distance", " Start → End: 300.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 7390.4 km", "Step 4: Calculate detour", " Detour = 7390.4 - 300.3 = 7090.1 km", " Detour % = (7090.1 / 300.3) × 100 = 2361.4%", "Step 5: Determine if on route (typically < 10% detour)", " 2361.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 40.58972, "lon": 49.66861, "name": "Sumqayıt" }, "end": { "lat": 42.63333, "lon": 24.8, "name": "Karlovo" }, "waypoint": { "lat": 53.53344, "lon": -113.91874, "name": "Spruce Grove" }, "question": "Is Spruce Grove approximately on the direct path from Sumqayıt to Karlovo?", "ground_truth": { "answer": false, "direct_distance_km": 2072.4, "via_waypoint_km": 18051.4, "detour_km": 15979.0, "detour_percent": 771.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Sumqayıt", " End: Karlovo", " Waypoint: Spruce Grove", "Step 2: Calculate direct distance", " Start → End: 2072.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18051.4 km", "Step 4: Calculate detour", " Detour = 18051.4 - 2072.4 = 15979.0 km", " Detour % = (15979.0 / 2072.4) × 100 = 771.0%", "Step 5: Determine if on route (typically < 10% detour)", " 771.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 62.00973, "lon": -6.77164, "name": "Tórshavn" }, "end": { "lat": 35.41722, "lon": 0.32982, "name": "Tighenif" }, "waypoint": { "lat": 41.74753, "lon": -87.71116, "name": "Ashburn" }, "question": "Is Ashburn approximately on the direct path from Tórshavn to Tighenif?", "ground_truth": { "answer": false, "direct_distance_km": 2998.4, "via_waypoint_km": 12896.5, "detour_km": 9898.1, "detour_percent": 330.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Tórshavn", " End: Tighenif", " Waypoint: Ashburn", "Step 2: Calculate direct distance", " Start → End: 2998.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12896.5 km", "Step 4: Calculate detour", " Detour = 12896.5 - 2998.4 = 9898.1 km", " Detour % = (9898.1 / 2998.4) × 100 = 330.1%", "Step 5: Determine if on route (typically < 10% detour)", " 330.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 55.60686, "lon": 37.51991, "name": "Yasenevo" }, "end": { "lat": 48.93196, "lon": 9.2024, "name": "Freiberg am Neckar" }, "waypoint": { "lat": 35.85, "lon": 117.7, "name": "Dongdu" }, "question": "Is Dongdu approximately on the direct path from Yasenevo to Freiberg am Neckar?", "ground_truth": { "answer": false, "direct_distance_km": 2047.2, "via_waypoint_km": 14458.7, "detour_km": 12411.4, "detour_percent": 606.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Yasenevo", " End: Freiberg am Neckar", " Waypoint: Dongdu", "Step 2: Calculate direct distance", " Start → End: 2047.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14458.7 km", "Step 4: Calculate detour", " Detour = 14458.7 - 2047.2 = 12411.4 km", " Detour % = (12411.4 / 2047.2) × 100 = 606.3%", "Step 5: Determine if on route (typically < 10% detour)", " 606.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -41.28664, "lon": 174.77557, "name": "Wellington" }, "end": { "lat": 53.20356, "lon": 45.19227, "name": "Zarechnyy" }, "waypoint": { "lat": 54.90896, "lon": 9.78917, "name": "Sønderborg" }, "question": "Is Sønderborg approximately on the direct path from Wellington to Zarechnyy?", "ground_truth": { "answer": false, "direct_distance_km": 16079.1, "via_waypoint_km": 20436.4, "detour_km": 4357.3, "detour_percent": 27.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Wellington", " End: Zarechnyy", " Waypoint: Sønderborg", "Step 2: Calculate direct distance", " Start → End: 16079.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20436.4 km", "Step 4: Calculate detour", " Detour = 20436.4 - 16079.1 = 4357.3 km", " Detour % = (4357.3 / 16079.1) × 100 = 27.1%", "Step 5: Determine if on route (typically < 10% detour)", " 27.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -9.47723, "lon": 147.15089, "name": "Port Moresby" }, "end": { "lat": -9.74583, "lon": -41.88528, "name": "Sento Sé" }, "waypoint": { "lat": 29.9679, "lon": 77.54522, "name": "Sahāranpur" }, "question": "Is Sahāranpur approximately on the direct path from Port Moresby to Sento Sé?", "ground_truth": { "answer": false, "direct_distance_km": 17655.2, "via_waypoint_km": 21997.1, "detour_km": 4341.9, "detour_percent": 24.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Port Moresby", " End: Sento Sé", " Waypoint: Sahāranpur", "Step 2: Calculate direct distance", " Start → End: 17655.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21997.1 km", "Step 4: Calculate detour", " Detour = 21997.1 - 17655.2 = 4341.9 km", " Detour % = (4341.9 / 17655.2) × 100 = 24.6%", "Step 5: Determine if on route (typically < 10% detour)", " 24.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 16.36307, "lon": 80.84406, "name": "Vuyyūru" }, "end": { "lat": 40.76843, "lon": -73.52513, "name": "Hicksville" }, "waypoint": { "lat": -26.31905, "lon": 27.6486, "name": "Westonaria" }, "question": "Is Westonaria approximately on the direct path from Vuyyūru to Hicksville?", "ground_truth": { "answer": false, "direct_distance_km": 13133.5, "via_waypoint_km": 20229.4, "detour_km": 7095.9, "detour_percent": 54.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Vuyyūru", " End: Hicksville", " Waypoint: Westonaria", "Step 2: Calculate direct distance", " Start → End: 13133.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20229.4 km", "Step 4: Calculate detour", " Detour = 20229.4 - 13133.5 = 7095.9 km", " Detour % = (7095.9 / 13133.5) × 100 = 54.0%", "Step 5: Determine if on route (typically < 10% detour)", " 54.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 9.31168, "lon": 41.44301, "name": "Deder" }, "end": { "lat": 6.25375, "lon": 6.1942, "name": "Agbor" }, "waypoint": { "lat": 34.06667, "lon": 134.15, "name": "Wakimachi" }, "question": "Is Wakimachi approximately on the direct path from Deder to Agbor?", "ground_truth": { "answer": false, "direct_distance_km": 3896.6, "via_waypoint_km": 22624.8, "detour_km": 18728.2, "detour_percent": 480.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Deder", " End: Agbor", " Waypoint: Wakimachi", "Step 2: Calculate direct distance", " Start → End: 3896.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22624.8 km", "Step 4: Calculate detour", " Detour = 22624.8 - 3896.6 = 18728.2 km", " Detour % = (18728.2 / 3896.6) × 100 = 480.6%", "Step 5: Determine if on route (typically < 10% detour)", " 480.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 0.53392, "lon": 38.51878, "name": "Garba Tula" }, "end": { "lat": 36.18503, "lon": 1.53299, "name": "Oued Fodda" }, "waypoint": { "lat": -37.8676, "lon": 144.98099, "name": "Saint Kilda" }, "question": "Is Saint Kilda approximately on the direct path from Garba Tula to Oued Fodda?", "ground_truth": { "answer": false, "direct_distance_km": 5498.0, "via_waypoint_km": 28267.9, "detour_km": 22769.9, "detour_percent": 414.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Garba Tula", " End: Oued Fodda", " Waypoint: Saint Kilda", "Step 2: Calculate direct distance", " Start → End: 5498.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 28267.9 km", "Step 4: Calculate detour", " Detour = 28267.9 - 5498.0 = 22769.9 km", " Detour % = (22769.9 / 5498.0) × 100 = 414.2%", "Step 5: Determine if on route (typically < 10% detour)", " 414.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 34.12828, "lon": 134.534, "name": "Takabō" }, "end": { "lat": 45.73626, "lon": 4.86866, "name": "Lyon 08" }, "waypoint": { "lat": 36.11653, "lon": 6.35434, "name": "Telerghma" }, "question": "Is Telerghma approximately on the direct path from Takabō to Lyon 08?", "ground_truth": { "answer": false, "direct_distance_km": 9797.3, "via_waypoint_km": 11611.5, "detour_km": 1814.3, "detour_percent": 18.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Takabō", " End: Lyon 08", " Waypoint: Telerghma", "Step 2: Calculate direct distance", " Start → End: 9797.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 11611.5 km", "Step 4: Calculate detour", " Detour = 11611.5 - 9797.3 = 1814.3 km", " Detour % = (1814.3 / 9797.3) × 100 = 18.5%", "Step 5: Determine if on route (typically < 10% detour)", " 18.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 18.62936, "lon": -95.51968, "name": "Lerdo de Tejada" }, "end": { "lat": 5.03144, "lon": 25.13614, "name": "Zemio" }, "waypoint": { "lat": -37.81819, "lon": 145.00176, "name": "Richmond" }, "question": "Is Richmond approximately on the direct path from Lerdo de Tejada to Zemio?", "ground_truth": { "answer": false, "direct_distance_km": 13004.8, "via_waypoint_km": 26777.2, "detour_km": 13772.5, "detour_percent": 105.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Lerdo de Tejada", " End: Zemio", " Waypoint: Richmond", "Step 2: Calculate direct distance", " Start → End: 13004.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 26777.2 km", "Step 4: Calculate detour", " Detour = 26777.2 - 13004.8 = 13772.5 km", " Detour % = (13772.5 / 13004.8) × 100 = 105.9%", "Step 5: Determine if on route (typically < 10% detour)", " 105.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 5.92801, "lon": -4.21319, "name": "Agboville" }, "end": { "lat": 11.42325, "lon": 75.82308, "name": "Nanminda" }, "waypoint": { "lat": 22.82359, "lon": 72.75551, "name": "Mahemdāvād" }, "question": "Is Mahemdāvād approximately on the direct path from Agboville to Nanminda?", "ground_truth": { "answer": false, "direct_distance_km": 8795.2, "via_waypoint_km": 9727.6, "detour_km": 932.4, "detour_percent": 10.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Agboville", " End: Nanminda", " Waypoint: Mahemdāvād", "Step 2: Calculate direct distance", " Start → End: 8795.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 9727.6 km", "Step 4: Calculate detour", " Detour = 9727.6 - 8795.2 = 932.4 km", " Detour % = (932.4 / 8795.2) × 100 = 10.6%", "Step 5: Determine if on route (typically < 10% detour)", " 10.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 23.36085, "lon": 103.15372, "name": "Gejiu" }, "end": { "lat": 21.71134, "lon": 71.96179, "name": "Sihor" }, "waypoint": { "lat": 40.92501, "lon": -98.34201, "name": "Grand Island" }, "question": "Is Grand Island approximately on the direct path from Gejiu to Sihor?", "ground_truth": { "answer": false, "direct_distance_km": 3202.7, "via_waypoint_km": 25508.3, "detour_km": 22305.7, "detour_percent": 696.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Gejiu", " End: Sihor", " Waypoint: Grand Island", "Step 2: Calculate direct distance", " Start → End: 3202.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 25508.3 km", "Step 4: Calculate detour", " Detour = 25508.3 - 3202.7 = 22305.7 km", " Detour % = (22305.7 / 3202.7) × 100 = 696.5%", "Step 5: Determine if on route (typically < 10% detour)", " 696.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 32.07239, "lon": -84.23269, "name": "Americus" }, "end": { "lat": 52.16667, "lon": 8.61667, "name": "Hiddenhausen" }, "waypoint": { "lat": 27.7368, "lon": 78.56891, "name": "Mārahra" }, "question": "Is Mārahra approximately on the direct path from Americus to Hiddenhausen?", "ground_truth": { "answer": false, "direct_distance_km": 7430.6, "via_waypoint_km": 19389.2, "detour_km": 11958.6, "detour_percent": 160.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Americus", " End: Hiddenhausen", " Waypoint: Mārahra", "Step 2: Calculate direct distance", " Start → End: 7430.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19389.2 km", "Step 4: Calculate detour", " Detour = 19389.2 - 7430.6 = 11958.6 km", " Detour % = (11958.6 / 7430.6) × 100 = 160.9%", "Step 5: Determine if on route (typically < 10% detour)", " 160.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 52.48333, "lon": 4.65694, "name": "Beverwijk" }, "end": { "lat": 45.81313, "lon": 15.97753, "name": "Centar" }, "waypoint": { "lat": 37.66442, "lon": 139.03502, "name": "Kamo" }, "question": "Is Kamo approximately on the direct path from Beverwijk to Centar?", "ground_truth": { "answer": false, "direct_distance_km": 1105.9, "via_waypoint_km": 18195.2, "detour_km": 17089.3, "detour_percent": 1545.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Beverwijk", " End: Centar", " Waypoint: Kamo", "Step 2: Calculate direct distance", " Start → End: 1105.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18195.2 km", "Step 4: Calculate detour", " Detour = 18195.2 - 1105.9 = 17089.3 km", " Detour % = (17089.3 / 1105.9) × 100 = 1545.3%", "Step 5: Determine if on route (typically < 10% detour)", " 1545.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -6.47833, "lon": 16.81735, "name": "Kasongo-Lunda" }, "end": { "lat": 25.77288, "lon": -80.34783, "name": "Fountainebleau" }, "waypoint": { "lat": 52.43333, "lon": 13.25, "name": "Zehlendorf" }, "question": "Is Zehlendorf approximately on the direct path from Kasongo-Lunda to Fountainebleau?", "ground_truth": { "answer": false, "direct_distance_km": 11035.6, "via_waypoint_km": 14557.6, "detour_km": 3522.0, "detour_percent": 31.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kasongo-Lunda", " End: Fountainebleau", " Waypoint: Zehlendorf", "Step 2: Calculate direct distance", " Start → End: 11035.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14557.6 km", "Step 4: Calculate detour", " Detour = 14557.6 - 11035.6 = 3522.0 km", " Detour % = (3522.0 / 11035.6) × 100 = 31.9%", "Step 5: Determine if on route (typically < 10% detour)", " 31.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 5.90702, "lon": 116.10146, "name": "Donggongon" }, "end": { "lat": -30.08111, "lon": -51.02333, "name": "Viamão" }, "waypoint": { "lat": 3.8, "lon": 10.13333, "name": "Edéa" }, "question": "Is Edéa approximately on the direct path from Donggongon to Viamão?", "ground_truth": { "answer": false, "direct_distance_km": 17008.0, "via_waypoint_km": 19225.7, "detour_km": 2217.7, "detour_percent": 13.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Donggongon", " End: Viamão", " Waypoint: Edéa", "Step 2: Calculate direct distance", " Start → End: 17008.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19225.7 km", "Step 4: Calculate detour", " Detour = 19225.7 - 17008.0 = 2217.7 km", " Detour % = (2217.7 / 17008.0) × 100 = 13.0%", "Step 5: Determine if on route (typically < 10% detour)", " 13.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -14.07538, "lon": -75.73422, "name": "Ica" }, "end": { "lat": 25.67678, "lon": -100.25646, "name": "Guadalupe" }, "waypoint": { "lat": 29.52118, "lon": 77.2247, "name": "Jhinjhāna" }, "question": "Is Jhinjhāna approximately on the direct path from Ica to Guadalupe?", "ground_truth": { "answer": false, "direct_distance_km": 5156.4, "via_waypoint_km": 30622.6, "detour_km": 25466.2, "detour_percent": 493.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ica", " End: Guadalupe", " Waypoint: Jhinjhāna", "Step 2: Calculate direct distance", " Start → End: 5156.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 30622.6 km", "Step 4: Calculate detour", " Detour = 30622.6 - 5156.4 = 25466.2 km", " Detour % = (25466.2 / 5156.4) × 100 = 493.9%", "Step 5: Determine if on route (typically < 10% detour)", " 493.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 21.14972, "lon": -101.6225, "name": "Medina" }, "end": { "lat": 5.70773, "lon": 6.43402, "name": "Kwale" }, "waypoint": { "lat": 29.72984, "lon": 106.2177, "name": "Dalu" }, "question": "Is Dalu approximately on the direct path from Medina to Kwale?", "ground_truth": { "answer": false, "direct_distance_km": 11629.0, "via_waypoint_km": 24250.5, "detour_km": 12621.5, "detour_percent": 108.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Medina", " End: Kwale", " Waypoint: Dalu", "Step 2: Calculate direct distance", " Start → End: 11629.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24250.5 km", "Step 4: Calculate detour", " Detour = 24250.5 - 11629.0 = 12621.5 km", " Detour % = (12621.5 / 11629.0) × 100 = 108.5%", "Step 5: Determine if on route (typically < 10% detour)", " 108.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 54.85862, "lon": -1.57408, "name": "Chester-le-Street" }, "end": { "lat": 42.26199, "lon": 3.17689, "name": "Roses" }, "waypoint": { "lat": -7.0268, "lon": 110.5158, "name": "Mranggen" }, "question": "Is Mranggen approximately on the direct path from Chester-le-Street to Roses?", "ground_truth": { "answer": false, "direct_distance_km": 1442.8, "via_waypoint_km": 24004.9, "detour_km": 22562.1, "detour_percent": 1563.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Chester-le-Street", " End: Roses", " Waypoint: Mranggen", "Step 2: Calculate direct distance", " Start → End: 1442.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24004.9 km", "Step 4: Calculate detour", " Detour = 24004.9 - 1442.8 = 22562.1 km", " Detour % = (22562.1 / 1442.8) × 100 = 1563.8%", "Step 5: Determine if on route (typically < 10% detour)", " 1563.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 41.73212, "lon": 12.27654, "name": "Lido di Ostia" }, "end": { "lat": 22.3, "lon": 114.16667, "name": "Tsim Sha Tsui" }, "waypoint": { "lat": 3.38333, "lon": 101.41667, "name": "Batang Berjuntai" }, "question": "Is Batang Berjuntai approximately on the direct path from Lido di Ostia to Tsim Sha Tsui?", "ground_truth": { "answer": false, "direct_distance_km": 9303.2, "via_waypoint_km": 12198.8, "detour_km": 2895.6, "detour_percent": 31.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Lido di Ostia", " End: Tsim Sha Tsui", " Waypoint: Batang Berjuntai", "Step 2: Calculate direct distance", " Start → End: 9303.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12198.8 km", "Step 4: Calculate detour", " Detour = 12198.8 - 9303.2 = 2895.6 km", " Detour % = (2895.6 / 9303.2) × 100 = 31.1%", "Step 5: Determine if on route (typically < 10% detour)", " 31.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 41.21017, "lon": -8.57599, "name": "Águas Santas" }, "end": { "lat": 33.68333, "lon": 135.35, "name": "Shirahama" }, "waypoint": { "lat": -6.69167, "lon": -35.53333, "name": "Belém" }, "question": "Is Belém approximately on the direct path from Águas Santas to Shirahama?", "ground_truth": { "answer": false, "direct_distance_km": 10906.2, "via_waypoint_km": 22863.6, "detour_km": 11957.4, "detour_percent": 109.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Águas Santas", " End: Shirahama", " Waypoint: Belém", "Step 2: Calculate direct distance", " Start → End: 10906.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22863.6 km", "Step 4: Calculate detour", " Detour = 22863.6 - 10906.2 = 11957.4 km", " Detour % = (11957.4 / 10906.2) × 100 = 109.6%", "Step 5: Determine if on route (typically < 10% detour)", " 109.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 8.66667, "lon": 39.43333, "name": "Welench’ītī" }, "end": { "lat": 45.73626, "lon": 4.86866, "name": "Lyon 08" }, "waypoint": { "lat": 2.4701, "lon": 102.2302, "name": "Tampin" }, "question": "Is Tampin approximately on the direct path from Welench’ītī to Lyon 08?", "ground_truth": { "answer": false, "direct_distance_km": 5277.3, "via_waypoint_km": 17356.9, "detour_km": 12079.7, "detour_percent": 228.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Welench’ītī", " End: Lyon 08", " Waypoint: Tampin", "Step 2: Calculate direct distance", " Start → End: 5277.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17356.9 km", "Step 4: Calculate detour", " Detour = 17356.9 - 5277.3 = 12079.7 km", " Detour % = (12079.7 / 5277.3) × 100 = 228.9%", "Step 5: Determine if on route (typically < 10% detour)", " 228.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 51.8425, "lon": 5.85278, "name": "Nijmegen" }, "end": { "lat": 53.41058, "lon": -2.97794, "name": "Liverpool" }, "waypoint": { "lat": -10.97141, "lon": -41.0796, "name": "Ourolândia" }, "question": "Is Ourolândia approximately on the direct path from Nijmegen to Liverpool?", "ground_truth": { "answer": false, "direct_distance_km": 620.6, "via_waypoint_km": 16317.0, "detour_km": 15696.4, "detour_percent": 2529.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Nijmegen", " End: Liverpool", " Waypoint: Ourolândia", "Step 2: Calculate direct distance", " Start → End: 620.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16317.0 km", "Step 4: Calculate detour", " Detour = 16317.0 - 620.6 = 15696.4 km", " Detour % = (15696.4 / 620.6) × 100 = 2529.4%", "Step 5: Determine if on route (typically < 10% detour)", " 2529.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 45.21012, "lon": -123.19872, "name": "McMinnville" }, "end": { "lat": 36.63246, "lon": 136.63726, "name": "Mukai-awagasaki" }, "waypoint": { "lat": 37.15964, "lon": 9.7606, "name": "Tinja" }, "question": "Is Tinja approximately on the direct path from McMinnville to Mukai-awagasaki?", "ground_truth": { "answer": false, "direct_distance_km": 7907.5, "via_waypoint_km": 19870.4, "detour_km": 11963.0, "detour_percent": 151.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: McMinnville", " End: Mukai-awagasaki", " Waypoint: Tinja", "Step 2: Calculate direct distance", " Start → End: 7907.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19870.4 km", "Step 4: Calculate detour", " Detour = 19870.4 - 7907.5 = 11963.0 km", " Detour % = (11963.0 / 7907.5) × 100 = 151.3%", "Step 5: Determine if on route (typically < 10% detour)", " 151.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 28.68966, "lon": 77.07648, "name": "Sultan Pur Majra" }, "end": { "lat": -33.963, "lon": 22.46173, "name": "George" }, "waypoint": { "lat": -4.26667, "lon": 35.85, "name": "Galappo" }, "question": "Is Galappo approximately on the direct path from Sultan Pur Majra to George?", "ground_truth": { "answer": true, "direct_distance_km": 9028.1, "via_waypoint_km": 9309.4, "detour_km": 281.3, "detour_percent": 3.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Sultan Pur Majra", " End: George", " Waypoint: Galappo", "Step 2: Calculate direct distance", " Start → End: 9028.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 9309.4 km", "Step 4: Calculate detour", " Detour = 9309.4 - 9028.1 = 281.3 km", " Detour % = (281.3 / 9028.1) × 100 = 3.1%", "Step 5: Determine if on route (typically < 10% detour)", " 3.1% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 13.77073, "lon": -13.66734, "name": "Tambacounda" }, "end": { "lat": -29.12107, "lon": 26.214, "name": "Bloemfontein" }, "waypoint": { "lat": 40.15085, "lon": -8.86179, "name": "Figueira da Foz" }, "question": "Is Figueira da Foz approximately on the direct path from Tambacounda to Bloemfontein?", "ground_truth": { "answer": false, "direct_distance_km": 6409.1, "via_waypoint_km": 11482.0, "detour_km": 5072.9, "detour_percent": 79.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Tambacounda", " End: Bloemfontein", " Waypoint: Figueira da Foz", "Step 2: Calculate direct distance", " Start → End: 6409.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 11482.0 km", "Step 4: Calculate detour", " Detour = 11482.0 - 6409.1 = 5072.9 km", " Detour % = (5072.9 / 6409.1) × 100 = 79.2%", "Step 5: Determine if on route (typically < 10% detour)", " 79.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 23.72894, "lon": 92.71791, "name": "Aizawl" }, "end": { "lat": 40.90751, "lon": 14.293, "name": "Casoria" }, "waypoint": { "lat": -9.68456, "lon": 14.42788, "name": "Dondo" }, "question": "Is Dondo approximately on the direct path from Aizawl to Casoria?", "ground_truth": { "answer": false, "direct_distance_km": 7369.5, "via_waypoint_km": 14895.9, "detour_km": 7526.4, "detour_percent": 102.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Aizawl", " End: Casoria", " Waypoint: Dondo", "Step 2: Calculate direct distance", " Start → End: 7369.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14895.9 km", "Step 4: Calculate detour", " Detour = 14895.9 - 7369.5 = 7526.4 km", " Detour % = (7526.4 / 7369.5) × 100 = 102.1%", "Step 5: Determine if on route (typically < 10% detour)", " 102.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 52.35088, "lon": 14.56065, "name": "Słubice" }, "end": { "lat": 45.74906, "lon": 4.84789, "name": "Lyon" }, "waypoint": { "lat": 27.04594, "lon": 76.93152, "name": "Mahwa" }, "question": "Is Mahwa approximately on the direct path from Słubice to Lyon?", "ground_truth": { "answer": false, "direct_distance_km": 1018.1, "via_waypoint_km": 12355.9, "detour_km": 11337.8, "detour_percent": 1113.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Słubice", " End: Lyon", " Waypoint: Mahwa", "Step 2: Calculate direct distance", " Start → End: 1018.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12355.9 km", "Step 4: Calculate detour", " Detour = 12355.9 - 1018.1 = 11337.8 km", " Detour % = (11337.8 / 1018.1) × 100 = 1113.7%", "Step 5: Determine if on route (typically < 10% detour)", " 1113.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 18.98196, "lon": -97.78363, "name": "Acatzingo" }, "end": { "lat": 41.84364, "lon": -87.71255, "name": "South Lawndale" }, "waypoint": { "lat": -32.92953, "lon": 151.7801, "name": "Newcastle" }, "question": "Is Newcastle approximately on the direct path from Acatzingo to South Lawndale?", "ground_truth": { "answer": false, "direct_distance_km": 2714.6, "via_waypoint_km": 27781.6, "detour_km": 25067.0, "detour_percent": 923.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Acatzingo", " End: South Lawndale", " Waypoint: Newcastle", "Step 2: Calculate direct distance", " Start → End: 2714.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 27781.6 km", "Step 4: Calculate detour", " Detour = 27781.6 - 2714.6 = 25067.0 km", " Detour % = (25067.0 / 2714.6) × 100 = 923.4%", "Step 5: Determine if on route (typically < 10% detour)", " 923.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 51.25627, "lon": 7.14816, "name": "Wuppertal" }, "end": { "lat": 41.49587, "lon": -87.84866, "name": "Frankfort" }, "waypoint": { "lat": 28.8963, "lon": 106.66835, "name": "Zhuantang" }, "question": "Is Zhuantang approximately on the direct path from Wuppertal to Frankfort?", "ground_truth": { "answer": false, "direct_distance_km": 6847.3, "via_waypoint_km": 20204.6, "detour_km": 13357.3, "detour_percent": 195.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Wuppertal", " End: Frankfort", " Waypoint: Zhuantang", "Step 2: Calculate direct distance", " Start → End: 6847.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20204.6 km", "Step 4: Calculate detour", " Detour = 20204.6 - 6847.3 = 13357.3 km", " Detour % = (13357.3 / 6847.3) × 100 = 195.1%", "Step 5: Determine if on route (typically < 10% detour)", " 195.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -0.24849, "lon": 35.73194, "name": "Molo" }, "end": { "lat": -0.84582, "lon": -80.16389, "name": "Calceta" }, "waypoint": { "lat": 59.98594, "lon": 30.30338, "name": "Chernaya Rechka" }, "question": "Is Chernaya Rechka approximately on the direct path from Molo to Calceta?", "ground_truth": { "answer": false, "direct_distance_km": 12886.2, "via_waypoint_km": 17924.6, "detour_km": 5038.4, "detour_percent": 39.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Molo", " End: Calceta", " Waypoint: Chernaya Rechka", "Step 2: Calculate direct distance", " Start → End: 12886.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17924.6 km", "Step 4: Calculate detour", " Detour = 17924.6 - 12886.2 = 5038.4 km", " Detour % = (5038.4 / 12886.2) × 100 = 39.1%", "Step 5: Determine if on route (typically < 10% detour)", " 39.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 33.89585, "lon": -118.22007, "name": "Compton" }, "end": { "lat": -38.02388, "lon": 144.40617, "name": "Lara" }, "waypoint": { "lat": 34.6, "lon": 133.46667, "name": "Ibara" }, "question": "Is Ibara approximately on the direct path from Compton to Lara?", "ground_truth": { "answer": false, "direct_distance_km": 12821.4, "via_waypoint_km": 17510.5, "detour_km": 4689.1, "detour_percent": 36.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Compton", " End: Lara", " Waypoint: Ibara", "Step 2: Calculate direct distance", " Start → End: 12821.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17510.5 km", "Step 4: Calculate detour", " Detour = 17510.5 - 12821.4 = 4689.1 km", " Detour % = (4689.1 / 12821.4) × 100 = 36.6%", "Step 5: Determine if on route (typically < 10% detour)", " 36.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -29.82299, "lon": 27.23744, "name": "Mafeteng" }, "end": { "lat": 32.1, "lon": 131.4, "name": "Tsuma" }, "waypoint": { "lat": 30.83334, "lon": -83.28032, "name": "Valdosta" }, "question": "Is Valdosta approximately on the direct path from Mafeteng to Tsuma?", "ground_truth": { "answer": false, "direct_distance_km": 12939.3, "via_waypoint_km": 25583.5, "detour_km": 12644.3, "detour_percent": 97.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Mafeteng", " End: Tsuma", " Waypoint: Valdosta", "Step 2: Calculate direct distance", " Start → End: 12939.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 25583.5 km", "Step 4: Calculate detour", " Detour = 25583.5 - 12939.3 = 12644.3 km", " Detour % = (12644.3 / 12939.3) × 100 = 97.7%", "Step 5: Determine if on route (typically < 10% detour)", " 97.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -1.975, "lon": -48.95972, "name": "Igarapé Miri" }, "end": { "lat": 10.15039, "lon": -68.56478, "name": "Nirgua" }, "waypoint": { "lat": 22.24126, "lon": -80.3911, "name": "Palmira" }, "question": "Is Palmira approximately on the direct path from Igarapé Miri to Nirgua?", "ground_truth": { "answer": false, "direct_distance_km": 2555.0, "via_waypoint_km": 6187.9, "detour_km": 3632.9, "detour_percent": 142.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Igarapé Miri", " End: Nirgua", " Waypoint: Palmira", "Step 2: Calculate direct distance", " Start → End: 2555.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 6187.9 km", "Step 4: Calculate detour", " Detour = 6187.9 - 2555.0 = 3632.9 km", " Detour % = (3632.9 / 2555.0) × 100 = 142.2%", "Step 5: Determine if on route (typically < 10% detour)", " 142.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -6.34278, "lon": 106.73833, "name": "Pamulang" }, "end": { "lat": 37.77817, "lon": -81.18816, "name": "Beckley" }, "waypoint": { "lat": 9.7901, "lon": -71.07084, "name": "San Timoteo" }, "question": "Is San Timoteo approximately on the direct path from Pamulang to Beckley?", "ground_truth": { "answer": false, "direct_distance_km": 16429.0, "via_waypoint_km": 22835.0, "detour_km": 6406.0, "detour_percent": 39.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Pamulang", " End: Beckley", " Waypoint: San Timoteo", "Step 2: Calculate direct distance", " Start → End: 16429.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22835.0 km", "Step 4: Calculate detour", " Detour = 22835.0 - 16429.0 = 6406.0 km", " Detour % = (6406.0 / 16429.0) × 100 = 39.0%", "Step 5: Determine if on route (typically < 10% detour)", " 39.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -33.2914, "lon": -66.32467, "name": "San Luis" }, "end": { "lat": 60.73769, "lon": 24.77726, "name": "Riihimäki" }, "waypoint": { "lat": 6.41692, "lon": 3.14058, "name": "Irewe" }, "question": "Is Irewe approximately on the direct path from San Luis to Riihimäki?", "ground_truth": { "answer": false, "direct_distance_km": 13246.1, "via_waypoint_km": 14833.6, "detour_km": 1587.5, "detour_percent": 12.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: San Luis", " End: Riihimäki", " Waypoint: Irewe", "Step 2: Calculate direct distance", " Start → End: 13246.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14833.6 km", "Step 4: Calculate detour", " Detour = 14833.6 - 13246.1 = 1587.5 km", " Detour % = (1587.5 / 13246.1) × 100 = 12.0%", "Step 5: Determine if on route (typically < 10% detour)", " 12.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 0.66174, "lon": 30.2748, "name": "Fort Portal" }, "end": { "lat": 45.06982, "lon": 11.79022, "name": "Rovigo" }, "waypoint": { "lat": 22.58809, "lon": 113.94786, "name": "Xili" }, "question": "Is Xili approximately on the direct path from Fort Portal to Rovigo?", "ground_truth": { "answer": false, "direct_distance_km": 5261.4, "via_waypoint_km": 18477.2, "detour_km": 13215.7, "detour_percent": 251.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Fort Portal", " End: Rovigo", " Waypoint: Xili", "Step 2: Calculate direct distance", " Start → End: 5261.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18477.2 km", "Step 4: Calculate detour", " Detour = 18477.2 - 5261.4 = 13215.7 km", " Detour % = (13215.7 / 5261.4) × 100 = 251.2%", "Step 5: Determine if on route (typically < 10% detour)", " 251.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 12.05, "lon": 29.65, "name": "Dilling" }, "end": { "lat": -17.80309, "lon": 177.41617, "name": "Nadi" }, "waypoint": { "lat": 51.65501, "lon": 17.80686, "name": "Ostrów Wielkopolski" }, "question": "Is Ostrów Wielkopolski approximately on the direct path from Dilling to Nadi?", "ground_truth": { "answer": false, "direct_distance_km": 16498.0, "via_waypoint_km": 20377.9, "detour_km": 3879.9, "detour_percent": 23.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Dilling", " End: Nadi", " Waypoint: Ostrów Wielkopolski", "Step 2: Calculate direct distance", " Start → End: 16498.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20377.9 km", "Step 4: Calculate detour", " Detour = 20377.9 - 16498.0 = 3879.9 km", " Detour % = (3879.9 / 16498.0) × 100 = 23.5%", "Step 5: Determine if on route (typically < 10% detour)", " 23.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 57.64947, "lon": -3.31843, "name": "Elgin" }, "end": { "lat": 46.10919, "lon": 33.69206, "name": "Armyansk" }, "waypoint": { "lat": 35.41, "lon": 127.38583, "name": "Nangen" }, "question": "Is Nangen approximately on the direct path from Elgin to Armyansk?", "ground_truth": { "answer": false, "direct_distance_km": 2798.9, "via_waypoint_km": 16207.8, "detour_km": 13408.9, "detour_percent": 479.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Elgin", " End: Armyansk", " Waypoint: Nangen", "Step 2: Calculate direct distance", " Start → End: 2798.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16207.8 km", "Step 4: Calculate detour", " Detour = 16207.8 - 2798.9 = 13408.9 km", " Detour % = (13408.9 / 2798.9) × 100 = 479.1%", "Step 5: Determine if on route (typically < 10% detour)", " 479.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 36.59649, "lon": -82.18847, "name": "Bristol" }, "end": { "lat": 53.2788, "lon": 36.58047, "name": "Mtsensk" }, "waypoint": { "lat": 51.76437, "lon": 20.25493, "name": "Rawa Mazowiecka" }, "question": "Is Rawa Mazowiecka approximately on the direct path from Bristol to Mtsensk?", "ground_truth": { "answer": true, "direct_distance_km": 8418.6, "via_waypoint_km": 8767.8, "detour_km": 349.3, "detour_percent": 4.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Bristol", " End: Mtsensk", " Waypoint: Rawa Mazowiecka", "Step 2: Calculate direct distance", " Start → End: 8418.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 8767.8 km", "Step 4: Calculate detour", " Detour = 8767.8 - 8418.6 = 349.3 km", " Detour % = (349.3 / 8418.6) × 100 = 4.1%", "Step 5: Determine if on route (typically < 10% detour)", " 4.1% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 25.799, "lon": 82.99768, "name": "Lalganj" }, "end": { "lat": 8.03424, "lon": 2.4866, "name": "Savé" }, "waypoint": { "lat": 4.9381, "lon": -52.33455, "name": "Cayenne" }, "question": "Is Cayenne approximately on the direct path from Lalganj to Savé?", "ground_truth": { "answer": false, "direct_distance_km": 8674.0, "via_waypoint_km": 20173.6, "detour_km": 11499.6, "detour_percent": 132.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Lalganj", " End: Savé", " Waypoint: Cayenne", "Step 2: Calculate direct distance", " Start → End: 8674.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20173.6 km", "Step 4: Calculate detour", " Detour = 20173.6 - 8674.0 = 11499.6 km", " Detour % = (11499.6 / 8674.0) × 100 = 132.6%", "Step 5: Determine if on route (typically < 10% detour)", " 132.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 50.52965, "lon": 2.64003, "name": "Béthune" }, "end": { "lat": 32.44874, "lon": -99.73314, "name": "Abilene" }, "waypoint": { "lat": -2.75556, "lon": -42.82591, "name": "Barreirinhas" }, "question": "Is Barreirinhas approximately on the direct path from Béthune to Abilene?", "ground_truth": { "answer": false, "direct_distance_km": 8071.4, "via_waypoint_km": 14473.1, "detour_km": 6401.7, "detour_percent": 79.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Béthune", " End: Abilene", " Waypoint: Barreirinhas", "Step 2: Calculate direct distance", " Start → End: 8071.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14473.1 km", "Step 4: Calculate detour", " Detour = 14473.1 - 8071.4 = 6401.7 km", " Detour % = (6401.7 / 8071.4) × 100 = 79.3%", "Step 5: Determine if on route (typically < 10% detour)", " 79.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 3.40671, "lon": -76.34819, "name": "Candelaria" }, "end": { "lat": 32.96667, "lon": 131.58333, "name": "Mie" }, "waypoint": { "lat": 50.06143, "lon": 19.93658, "name": "Kraków" }, "question": "Is Kraków approximately on the direct path from Candelaria to Mie?", "ground_truth": { "answer": false, "direct_distance_km": 15015.8, "via_waypoint_km": 18768.1, "detour_km": 3752.3, "detour_percent": 25.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Candelaria", " End: Mie", " Waypoint: Kraków", "Step 2: Calculate direct distance", " Start → End: 15015.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18768.1 km", "Step 4: Calculate detour", " Detour = 18768.1 - 15015.8 = 3752.3 km", " Detour % = (3752.3 / 15015.8) × 100 = 25.0%", "Step 5: Determine if on route (typically < 10% detour)", " 25.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 27.55898, "lon": 68.21204, "name": "Larkana" }, "end": { "lat": 33.8455, "lon": 10.11423, "name": "Teboulbou" }, "waypoint": { "lat": 8.31667, "lon": 39.48333, "name": "Sīrē" }, "question": "Is Sīrē approximately on the direct path from Larkana to Teboulbou?", "ground_truth": { "answer": false, "direct_distance_km": 5526.3, "via_waypoint_km": 7832.9, "detour_km": 2306.6, "detour_percent": 41.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Larkana", " End: Teboulbou", " Waypoint: Sīrē", "Step 2: Calculate direct distance", " Start → End: 5526.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 7832.9 km", "Step 4: Calculate detour", " Detour = 7832.9 - 5526.3 = 2306.6 km", " Detour % = (2306.6 / 5526.3) × 100 = 41.7%", "Step 5: Determine if on route (typically < 10% detour)", " 41.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 49.65563, "lon": 21.16035, "name": "Gorlice" }, "end": { "lat": -23.17944, "lon": -45.88694, "name": "São José dos Campos" }, "waypoint": { "lat": 23.73333, "lon": 90.4, "name": "Ramna Maidan" }, "question": "Is Ramna Maidan approximately on the direct path from Gorlice to São José dos Campos?", "ground_truth": { "answer": false, "direct_distance_km": 10440.6, "via_waypoint_km": 22120.9, "detour_km": 11680.3, "detour_percent": 111.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Gorlice", " End: São José dos Campos", " Waypoint: Ramna Maidan", "Step 2: Calculate direct distance", " Start → End: 10440.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22120.9 km", "Step 4: Calculate detour", " Detour = 22120.9 - 10440.6 = 11680.3 km", " Detour % = (11680.3 / 10440.6) × 100 = 111.9%", "Step 5: Determine if on route (typically < 10% detour)", " 111.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -22.66167, "lon": -50.41222, "name": "Assis" }, "end": { "lat": 36.08012, "lon": 35.97603, "name": "Samandağ" }, "waypoint": { "lat": 41.5514, "lon": -8.42311, "name": "Braga" }, "question": "Is Braga approximately on the direct path from Assis to Samandağ?", "ground_truth": { "answer": true, "direct_distance_km": 11160.1, "via_waypoint_km": 12198.4, "detour_km": 1038.3, "detour_percent": 9.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Assis", " End: Samandağ", " Waypoint: Braga", "Step 2: Calculate direct distance", " Start → End: 11160.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12198.4 km", "Step 4: Calculate detour", " Detour = 12198.4 - 11160.1 = 1038.3 km", " Detour % = (1038.3 / 11160.1) × 100 = 9.3%", "Step 5: Determine if on route (typically < 10% detour)", " 9.3% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 48.62605, "lon": 2.60125, "name": "Moissy-Cramayel" }, "end": { "lat": 41.96357, "lon": 12.75633, "name": "Villanova" }, "waypoint": { "lat": 2.47826, "lon": 31.08893, "name": "Nebbi" }, "question": "Is Nebbi approximately on the direct path from Moissy-Cramayel to Villanova?", "ground_truth": { "answer": false, "direct_distance_km": 1084.5, "via_waypoint_km": 10560.7, "detour_km": 9476.2, "detour_percent": 873.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Moissy-Cramayel", " End: Villanova", " Waypoint: Nebbi", "Step 2: Calculate direct distance", " Start → End: 1084.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 10560.7 km", "Step 4: Calculate detour", " Detour = 10560.7 - 1084.5 = 9476.2 km", " Detour % = (9476.2 / 1084.5) × 100 = 873.8%", "Step 5: Determine if on route (typically < 10% detour)", " 873.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 16.09007, "lon": -93.7546, "name": "Tonalá" }, "end": { "lat": 39.88423, "lon": -82.7535, "name": "Pickerington" }, "waypoint": { "lat": -28.44776, "lon": 21.25612, "name": "Upington" }, "question": "Is Upington approximately on the direct path from Tonalá to Pickerington?", "ground_truth": { "answer": false, "direct_distance_km": 2852.2, "via_waypoint_km": 26380.3, "detour_km": 23528.1, "detour_percent": 824.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Tonalá", " End: Pickerington", " Waypoint: Upington", "Step 2: Calculate direct distance", " Start → End: 2852.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 26380.3 km", "Step 4: Calculate detour", " Detour = 26380.3 - 2852.2 = 23528.1 km", " Detour % = (23528.1 / 2852.2) × 100 = 824.9%", "Step 5: Determine if on route (typically < 10% detour)", " 824.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 9.00322, "lon": 77.34494, "name": "Āyikudi" }, "end": { "lat": 25.02651, "lon": 55.14565, "name": "Al Furjan" }, "waypoint": { "lat": 31.21114, "lon": 31.05119, "name": "Sīdī Ghāzī" }, "question": "Is Sīdī Ghāzī approximately on the direct path from Āyikudi to Al Furjan?", "ground_truth": { "answer": false, "direct_distance_km": 2948.4, "via_waypoint_km": 7829.9, "detour_km": 4881.4, "detour_percent": 165.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Āyikudi", " End: Al Furjan", " Waypoint: Sīdī Ghāzī", "Step 2: Calculate direct distance", " Start → End: 2948.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 7829.9 km", "Step 4: Calculate detour", " Detour = 7829.9 - 2948.4 = 4881.4 km", " Detour % = (4881.4 / 2948.4) × 100 = 165.6%", "Step 5: Determine if on route (typically < 10% detour)", " 165.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 39.81632, "lon": 16.20183, "name": "Castrovillari" }, "end": { "lat": -22.40293, "lon": 46.12576, "name": "Ihosy" }, "waypoint": { "lat": 7.07236, "lon": -6.24125, "name": "Luénoufla" }, "question": "Is Luénoufla approximately on the direct path from Castrovillari to Ihosy?", "ground_truth": { "answer": false, "direct_distance_km": 7583.1, "via_waypoint_km": 10846.7, "detour_km": 3263.6, "detour_percent": 43.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Castrovillari", " End: Ihosy", " Waypoint: Luénoufla", "Step 2: Calculate direct distance", " Start → End: 7583.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 10846.7 km", "Step 4: Calculate detour", " Detour = 10846.7 - 7583.1 = 3263.6 km", " Detour % = (3263.6 / 7583.1) × 100 = 43.0%", "Step 5: Determine if on route (typically < 10% detour)", " 43.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 10.55, "lon": 107.55, "name": "Ấp Bình Châu" }, "end": { "lat": 40.00869, "lon": 48.47701, "name": "Sabirabad" }, "waypoint": { "lat": 41.28629, "lon": 27.99939, "name": "Çerkezköy" }, "question": "Is Çerkezköy approximately on the direct path from Ấp Bình Châu to Sabirabad?", "ground_truth": { "answer": false, "direct_distance_km": 6637.0, "via_waypoint_km": 10095.6, "detour_km": 3458.7, "detour_percent": 52.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ấp Bình Châu", " End: Sabirabad", " Waypoint: Çerkezköy", "Step 2: Calculate direct distance", " Start → End: 6637.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 10095.6 km", "Step 4: Calculate detour", " Detour = 10095.6 - 6637.0 = 3458.7 km", " Detour % = (3458.7 / 6637.0) × 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": 30.50595, "lon": 108.25884, "name": "Wuling" }, "end": { "lat": 40.60822, "lon": -74.51803, "name": "Warren Township" }, "waypoint": { "lat": -22.21056, "lon": -49.65611, "name": "Garça" }, "question": "Is Garça approximately on the direct path from Wuling to Warren Township?", "ground_truth": { "answer": false, "direct_distance_km": 12102.4, "via_waypoint_km": 25078.3, "detour_km": 12975.9, "detour_percent": 107.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Wuling", " End: Warren Township", " Waypoint: Garça", "Step 2: Calculate direct distance", " Start → End: 12102.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 25078.3 km", "Step 4: Calculate detour", " Detour = 25078.3 - 12102.4 = 12975.9 km", " Detour % = (12975.9 / 12102.4) × 100 = 107.2%", "Step 5: Determine if on route (typically < 10% detour)", " 107.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 8.5073, "lon": 77.08145, "name": "Kulathummal" }, "end": { "lat": 34.7795, "lon": 72.36265, "name": "Mingora" }, "waypoint": { "lat": 37.38283, "lon": -5.97317, "name": "Sevilla" }, "question": "Is Sevilla approximately on the direct path from Kulathummal to Mingora?", "ground_truth": { "answer": false, "direct_distance_km": 2960.7, "via_waypoint_km": 15653.5, "detour_km": 12692.8, "detour_percent": 428.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kulathummal", " End: Mingora", " Waypoint: Sevilla", "Step 2: Calculate direct distance", " Start → End: 2960.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15653.5 km", "Step 4: Calculate detour", " Detour = 15653.5 - 2960.7 = 12692.8 km", " Detour % = (12692.8 / 2960.7) × 100 = 428.7%", "Step 5: Determine if on route (typically < 10% detour)", " 428.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 32.82389, "lon": 109.36528, "name": "Xunyang" }, "end": { "lat": 27.54956, "lon": 14.27139, "name": "Brak" }, "waypoint": { "lat": 44.01023, "lon": 4.87381, "name": "Sorgues" }, "question": "Is Sorgues approximately on the direct path from Xunyang to Brak?", "ground_truth": { "answer": false, "direct_distance_km": 8824.9, "via_waypoint_km": 10573.1, "detour_km": 1748.1, "detour_percent": 19.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Xunyang", " End: Brak", " Waypoint: Sorgues", "Step 2: Calculate direct distance", " Start → End: 8824.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 10573.1 km", "Step 4: Calculate detour", " Detour = 10573.1 - 8824.9 = 1748.1 km", " Detour % = (1748.1 / 8824.9) × 100 = 19.8%", "Step 5: Determine if on route (typically < 10% detour)", " 19.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 41.91738, "lon": 3.1631, "name": "Palafrugell" }, "end": { "lat": -23.44859, "lon": -46.68839, "name": "Brasilandia" }, "waypoint": { "lat": -9.17419, "lon": -40.97514, "name": "Casa Nova" }, "question": "Is Casa Nova approximately on the direct path from Palafrugell to Brasilandia?", "ground_truth": { "answer": true, "direct_distance_km": 8891.2, "via_waypoint_km": 8940.9, "detour_km": 49.7, "detour_percent": 0.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Palafrugell", " End: Brasilandia", " Waypoint: Casa Nova", "Step 2: Calculate direct distance", " Start → End: 8891.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 8940.9 km", "Step 4: Calculate detour", " Detour = 8940.9 - 8891.2 = 49.7 km", " Detour % = (49.7 / 8891.2) × 100 = 0.6%", "Step 5: Determine if on route (typically < 10% detour)", " 0.6% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 40.75839, "lon": -82.51545, "name": "Mansfield" }, "end": { "lat": 12.17423, "lon": -4.08477, "name": "Solenzo" }, "waypoint": { "lat": 51.87967, "lon": -0.41748, "name": "Luton" }, "question": "Is Luton approximately on the direct path from Mansfield to Solenzo?", "ground_truth": { "answer": false, "direct_distance_km": 8158.5, "via_waypoint_km": 10509.3, "detour_km": 2350.9, "detour_percent": 28.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Mansfield", " End: Solenzo", " Waypoint: Luton", "Step 2: Calculate direct distance", " Start → End: 8158.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 10509.3 km", "Step 4: Calculate detour", " Detour = 10509.3 - 8158.5 = 2350.9 km", " Detour % = (2350.9 / 8158.5) × 100 = 28.8%", "Step 5: Determine if on route (typically < 10% detour)", " 28.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 27.8668, "lon": 78.25267, "name": "Jalālī" }, "end": { "lat": 31.6008, "lon": -7.98653, "name": "Méchouar-Kasba" }, "waypoint": { "lat": 43.27083, "lon": 5.3821, "name": "Marseille 08" }, "question": "Is Marseille 08 approximately on the direct path from Jalālī to Méchouar-Kasba?", "ground_truth": { "answer": true, "direct_distance_km": 8104.3, "via_waypoint_km": 8347.8, "detour_km": 243.5, "detour_percent": 3.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Jalālī", " End: Méchouar-Kasba", " Waypoint: Marseille 08", "Step 2: Calculate direct distance", " Start → End: 8104.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 8347.8 km", "Step 4: Calculate detour", " Detour = 8347.8 - 8104.3 = 243.5 km", " Detour % = (243.5 / 8104.3) × 100 = 3.0%", "Step 5: Determine if on route (typically < 10% detour)", " 3.0% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 43.33333, "lon": -8.31667, "name": "Oleiros" }, "end": { "lat": 50.67966, "lon": 9.76727, "name": "Hünfeld" }, "waypoint": { "lat": -8.52425, "lon": 179.19417, "name": "Funafuti" }, "question": "Is Funafuti approximately on the direct path from Oleiros to Hünfeld?", "ground_truth": { "answer": false, "direct_distance_km": 1589.9, "via_waypoint_km": 31303.6, "detour_km": 29713.7, "detour_percent": 1868.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Oleiros", " End: Hünfeld", " Waypoint: Funafuti", "Step 2: Calculate direct distance", " Start → End: 1589.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 31303.6 km", "Step 4: Calculate detour", " Detour = 31303.6 - 1589.9 = 29713.7 km", " Detour % = (29713.7 / 1589.9) × 100 = 1868.9%", "Step 5: Determine if on route (typically < 10% detour)", " 1868.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -7.8924, "lon": 112.6658, "name": "Singosari" }, "end": { "lat": -23.85972, "lon": 35.34722, "name": "Maxixe" }, "waypoint": { "lat": 8.42194, "lon": -9.74778, "name": "Voinjama" }, "question": "Is Voinjama approximately on the direct path from Singosari to Maxixe?", "ground_truth": { "answer": false, "direct_distance_km": 8368.7, "via_waypoint_km": 19752.6, "detour_km": 11383.9, "detour_percent": 136.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Singosari", " End: Maxixe", " Waypoint: Voinjama", "Step 2: Calculate direct distance", " Start → End: 8368.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19752.6 km", "Step 4: Calculate detour", " Detour = 19752.6 - 8368.7 = 11383.9 km", " Detour % = (11383.9 / 8368.7) × 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": 38.03333, "lon": 106.3, "name": "Chongxing" }, "end": { "lat": -22.70861, "lon": -42.60972, "name": "Rio Bonito" }, "waypoint": { "lat": -1.29547, "lon": 30.32297, "name": "Umutara" }, "question": "Is Umutara approximately on the direct path from Chongxing to Rio Bonito?", "ground_truth": { "answer": true, "direct_distance_km": 16604.1, "via_waypoint_km": 17078.2, "detour_km": 474.0, "detour_percent": 2.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Chongxing", " End: Rio Bonito", " Waypoint: Umutara", "Step 2: Calculate direct distance", " Start → End: 16604.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17078.2 km", "Step 4: Calculate detour", " Detour = 17078.2 - 16604.1 = 474.0 km", " Detour % = (474.0 / 16604.1) × 100 = 2.9%", "Step 5: Determine if on route (typically < 10% detour)", " 2.9% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 38.15389, "lon": 140.27361, "name": "Kaminoyama" }, "end": { "lat": -9.47723, "lon": 147.15089, "name": "Port Moresby" }, "waypoint": { "lat": -8.11806, "lon": -35.29139, "name": "Vitória de Santo Antão" }, "question": "Is Vitória de Santo Antão approximately on the direct path from Kaminoyama to Port Moresby?", "ground_truth": { "answer": false, "direct_distance_km": 5344.3, "via_waypoint_km": 34685.7, "detour_km": 29341.4, "detour_percent": 549.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kaminoyama", " End: Port Moresby", " Waypoint: Vitória de Santo Antão", "Step 2: Calculate direct distance", " Start → End: 5344.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 34685.7 km", "Step 4: Calculate detour", " Detour = 34685.7 - 5344.3 = 29341.4 km", " Detour % = (29341.4 / 5344.3) × 100 = 549.0%", "Step 5: Determine if on route (typically < 10% detour)", " 549.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 13.41609, "lon": 76.62063, "name": "Chiknāyakanhalli" }, "end": { "lat": 51.40089, "lon": 16.20149, "name": "Lubin" }, "waypoint": { "lat": -15.19611, "lon": 12.15222, "name": "Mossamedes" }, "question": "Is Mossamedes approximately on the direct path from Chiknāyakanhalli to Lubin?", "ground_truth": { "answer": false, "direct_distance_km": 6811.3, "via_waypoint_km": 15187.5, "detour_km": 8376.1, "detour_percent": 123.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Chiknāyakanhalli", " End: Lubin", " Waypoint: Mossamedes", "Step 2: Calculate direct distance", " Start → End: 6811.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15187.5 km", "Step 4: Calculate detour", " Detour = 15187.5 - 6811.3 = 8376.1 km", " Detour % = (8376.1 / 6811.3) × 100 = 123.0%", "Step 5: Determine if on route (typically < 10% detour)", " 123.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 27.25738, "lon": 33.81291, "name": "Hurghada" }, "end": { "lat": 4.74639, "lon": -75.91167, "name": "Cartago" }, "waypoint": { "lat": 45.63076, "lon": -72.95699, "name": "Saint-Hyacinthe" }, "question": "Is Saint-Hyacinthe approximately on the direct path from Hurghada to Cartago?", "ground_truth": { "answer": false, "direct_distance_km": 11690.5, "via_waypoint_km": 13616.1, "detour_km": 1925.6, "detour_percent": 16.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Hurghada", " End: Cartago", " Waypoint: Saint-Hyacinthe", "Step 2: Calculate direct distance", " Start → End: 11690.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13616.1 km", "Step 4: Calculate detour", " Detour = 13616.1 - 11690.5 = 1925.6 km", " Detour % = (1925.6 / 11690.5) × 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": 47.31667, "lon": 21.11667, "name": "Püspökladány" }, "end": { "lat": 41.43344, "lon": 22.01218, "name": "Kavadarci" }, "waypoint": { "lat": 12.18514, "lon": 18.6884, "name": "Mongo" }, "question": "Is Mongo approximately on the direct path from Püspökladány to Kavadarci?", "ground_truth": { "answer": false, "direct_distance_km": 658.0, "via_waypoint_km": 7181.3, "detour_km": 6523.3, "detour_percent": 991.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Püspökladány", " End: Kavadarci", " Waypoint: Mongo", "Step 2: Calculate direct distance", " Start → End: 658.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 7181.3 km", "Step 4: Calculate detour", " Detour = 7181.3 - 658.0 = 6523.3 km", " Detour % = (6523.3 / 658.0) × 100 = 991.3%", "Step 5: Determine if on route (typically < 10% detour)", " 991.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 44.3496, "lon": 9.22796, "name": "Rapallo" }, "end": { "lat": 49.80245, "lon": 72.83186, "name": "Saran" }, "waypoint": { "lat": 6.65623, "lon": -6.16609, "name": "Gadouan" }, "question": "Is Gadouan approximately on the direct path from Rapallo to Saran?", "ground_truth": { "answer": false, "direct_distance_km": 4708.3, "via_waypoint_km": 13104.0, "detour_km": 8395.6, "detour_percent": 178.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Rapallo", " End: Saran", " Waypoint: Gadouan", "Step 2: Calculate direct distance", " Start → End: 4708.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13104.0 km", "Step 4: Calculate detour", " Detour = 13104.0 - 4708.3 = 8395.6 km", " Detour % = (8395.6 / 4708.3) × 100 = 178.3%", "Step 5: Determine if on route (typically < 10% detour)", " 178.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 26.27944, "lon": 50.20833, "name": "Khobar" }, "end": { "lat": 9.04298, "lon": 76.52297, "name": "Ayanavelikulangara Vadakku" }, "waypoint": { "lat": 49.20678, "lon": -122.91092, "name": "New Westminster" }, "question": "Is New Westminster approximately on the direct path from Khobar to Ayanavelikulangara Vadakku?", "ground_truth": { "answer": false, "direct_distance_km": 3370.1, "via_waypoint_km": 24859.8, "detour_km": 21489.7, "detour_percent": 637.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Khobar", " End: Ayanavelikulangara Vadakku", " Waypoint: New Westminster", "Step 2: Calculate direct distance", " Start → End: 3370.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24859.8 km", "Step 4: Calculate detour", " Detour = 24859.8 - 3370.1 = 21489.7 km", " Detour % = (21489.7 / 3370.1) × 100 = 637.7%", "Step 5: Determine if on route (typically < 10% detour)", " 637.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 54.59682, "lon": -5.92541, "name": "Belfast" }, "end": { "lat": 50.41342, "lon": 36.92537, "name": "Shebekino" }, "waypoint": { "lat": 14.9109, "lon": 121.0493, "name": "Norzagaray" }, "question": "Is Norzagaray approximately on the direct path from Belfast to Shebekino?", "ground_truth": { "answer": false, "direct_distance_km": 2890.8, "via_waypoint_km": 19141.6, "detour_km": 16250.8, "detour_percent": 562.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Belfast", " End: Shebekino", " Waypoint: Norzagaray", "Step 2: Calculate direct distance", " Start → End: 2890.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19141.6 km", "Step 4: Calculate detour", " Detour = 19141.6 - 2890.8 = 16250.8 km", " Detour % = (16250.8 / 2890.8) × 100 = 562.2%", "Step 5: Determine if on route (typically < 10% detour)", " 562.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 41.1176, "lon": -73.4079, "name": "Norwalk" }, "end": { "lat": 10.17383, "lon": -68.25892, "name": "Bejuma" }, "waypoint": { "lat": -27.19361, "lon": -51.49472, "name": "Herval dOeste" }, "question": "Is Herval dOeste approximately on the direct path from Norwalk to Bejuma?", "ground_truth": { "answer": false, "direct_distance_km": 3477.7, "via_waypoint_km": 12455.9, "detour_km": 8978.2, "detour_percent": 258.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Norwalk", " End: Bejuma", " Waypoint: Herval dOeste", "Step 2: Calculate direct distance", " Start → End: 3477.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12455.9 km", "Step 4: Calculate detour", " Detour = 12455.9 - 3477.7 = 8978.2 km", " Detour % = (8978.2 / 3477.7) × 100 = 258.2%", "Step 5: Determine if on route (typically < 10% detour)", " 258.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 19.1059, "lon": 37.3321, "name": "Suakin" }, "end": { "lat": -41.26667, "lon": 174.95, "name": "Wainuiomata" }, "waypoint": { "lat": -11.07, "lon": -77.59944, "name": "Huaura" }, "question": "Is Huaura approximately on the direct path from Suakin to Wainuiomata?", "ground_truth": { "answer": false, "direct_distance_km": 15319.9, "via_waypoint_km": 23619.0, "detour_km": 8299.1, "detour_percent": 54.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Suakin", " End: Wainuiomata", " Waypoint: Huaura", "Step 2: Calculate direct distance", " Start → End: 15319.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23619.0 km", "Step 4: Calculate detour", " Detour = 23619.0 - 15319.9 = 8299.1 km", " Detour % = (8299.1 / 15319.9) × 100 = 54.2%", "Step 5: Determine if on route (typically < 10% detour)", " 54.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 17.53339, "lon": 73.50935, "name": "Chiplūn" }, "end": { "lat": -34.5108, "lon": -58.68059, "name": "Villa de Mayo" }, "waypoint": { "lat": 48.73649, "lon": 1.36566, "name": "Dreux" }, "question": "Is Dreux approximately on the direct path from Chiplūn to Villa de Mayo?", "ground_truth": { "answer": false, "direct_distance_km": 14933.1, "via_waypoint_km": 18247.0, "detour_km": 3313.9, "detour_percent": 22.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Chiplūn", " End: Villa de Mayo", " Waypoint: Dreux", "Step 2: Calculate direct distance", " Start → End: 14933.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18247.0 km", "Step 4: Calculate detour", " Detour = 18247.0 - 14933.1 = 3313.9 km", " Detour % = (3313.9 / 14933.1) × 100 = 22.2%", "Step 5: Determine if on route (typically < 10% detour)", " 22.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 1.94468, "lon": 30.03861, "name": "Mangbwalu" }, "end": { "lat": 55.81242, "lon": 38.99155, "name": "Orekhovo-Zuyevo" }, "waypoint": { "lat": -5.70556, "lon": -35.30722, "name": "Extremoz" }, "question": "Is Extremoz approximately on the direct path from Mangbwalu to Orekhovo-Zuyevo?", "ground_truth": { "answer": false, "direct_distance_km": 6043.6, "via_waypoint_km": 16873.0, "detour_km": 10829.4, "detour_percent": 179.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Mangbwalu", " End: Orekhovo-Zuyevo", " Waypoint: Extremoz", "Step 2: Calculate direct distance", " Start → End: 6043.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16873.0 km", "Step 4: Calculate detour", " Detour = 16873.0 - 6043.6 = 10829.4 km", " Detour % = (10829.4 / 6043.6) × 100 = 179.2%", "Step 5: Determine if on route (typically < 10% detour)", " 179.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 20.2113, "lon": -75.99362, "name": "Palma Soriano" }, "end": { "lat": 48.4277, "lon": -123.36104, "name": "Victoria-Downtown" }, "waypoint": { "lat": 40.15669, "lon": 43.13424, "name": "Kağızman" }, "question": "Is Kağızman approximately on the direct path from Palma Soriano to Victoria-Downtown?", "ground_truth": { "answer": false, "direct_distance_km": 5241.7, "via_waypoint_km": 20890.1, "detour_km": 15648.4, "detour_percent": 298.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Palma Soriano", " End: Victoria-Downtown", " Waypoint: Kağızman", "Step 2: Calculate direct distance", " Start → End: 5241.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20890.1 km", "Step 4: Calculate detour", " Detour = 20890.1 - 5241.7 = 15648.4 km", " Detour % = (15648.4 / 5241.7) × 100 = 298.5%", "Step 5: Determine if on route (typically < 10% detour)", " 298.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 56.49903, "lon": 25.85735, "name": "Jēkabpils" }, "end": { "lat": 36.15281, "lon": 5.69016, "name": "El Eulma" }, "waypoint": { "lat": 45.40008, "lon": -72.73243, "name": "Granby" }, "question": "Is Granby approximately on the direct path from Jēkabpils to El Eulma?", "ground_truth": { "answer": false, "direct_distance_km": 2719.3, "via_waypoint_km": 12824.4, "detour_km": 10105.1, "detour_percent": 371.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Jēkabpils", " End: El Eulma", " Waypoint: Granby", "Step 2: Calculate direct distance", " Start → End: 2719.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12824.4 km", "Step 4: Calculate detour", " Detour = 12824.4 - 2719.3 = 10105.1 km", " Detour % = (10105.1 / 2719.3) × 100 = 371.6%", "Step 5: Determine if on route (typically < 10% detour)", " 371.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 3.681, "lon": 101.5198, "name": "Tanjong Malim" }, "end": { "lat": 52.37874, "lon": 12.934, "name": "Werder" }, "waypoint": { "lat": -3.92333, "lon": -40.88944, "name": "Ibiapina" }, "question": "Is Ibiapina approximately on the direct path from Tanjong Malim to Werder?", "ground_truth": { "answer": false, "direct_distance_km": 9587.5, "via_waypoint_km": 23875.6, "detour_km": 14288.2, "detour_percent": 149.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Tanjong Malim", " End: Werder", " Waypoint: Ibiapina", "Step 2: Calculate direct distance", " Start → End: 9587.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23875.6 km", "Step 4: Calculate detour", " Detour = 23875.6 - 9587.5 = 14288.2 km", " Detour % = (14288.2 / 9587.5) × 100 = 149.0%", "Step 5: Determine if on route (typically < 10% detour)", " 149.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -19.03722, "lon": -43.425, "name": "Conceição do Mato Dentro" }, "end": { "lat": 6.22167, "lon": 125.06398, "name": "Polomolok" }, "waypoint": { "lat": 28.96887, "lon": 50.83657, "name": "Bushehr" }, "question": "Is Bushehr approximately on the direct path from Conceição do Mato Dentro to Polomolok?", "ground_truth": { "answer": true, "direct_distance_km": 18122.2, "via_waypoint_km": 19557.4, "detour_km": 1435.2, "detour_percent": 7.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Conceição do Mato Dentro", " End: Polomolok", " Waypoint: Bushehr", "Step 2: Calculate direct distance", " Start → End: 18122.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19557.4 km", "Step 4: Calculate detour", " Detour = 19557.4 - 18122.2 = 1435.2 km", " Detour % = (1435.2 / 18122.2) × 100 = 7.9%", "Step 5: Determine if on route (typically < 10% detour)", " 7.9% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 12.99116, "lon": 78.17804, "name": "Bangarapet" }, "end": { "lat": 49.02049, "lon": -122.79507, "name": "White Rock" }, "waypoint": { "lat": -12.24861, "lon": -41.61944, "name": "Iraquara" }, "question": "Is Iraquara approximately on the direct path from Bangarapet to White Rock?", "ground_truth": { "answer": false, "direct_distance_km": 12818.0, "via_waypoint_km": 23900.0, "detour_km": 11082.1, "detour_percent": 86.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Bangarapet", " End: White Rock", " Waypoint: Iraquara", "Step 2: Calculate direct distance", " Start → End: 12818.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23900.0 km", "Step 4: Calculate detour", " Detour = 23900.0 - 12818.0 = 11082.1 km", " Detour % = (11082.1 / 12818.0) × 100 = 86.5%", "Step 5: Determine if on route (typically < 10% detour)", " 86.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -37.8228, "lon": 144.96434, "name": "Southbank" }, "end": { "lat": 41.89947, "lon": -87.94034, "name": "Elmhurst" }, "waypoint": { "lat": 51.05952, "lon": 3.79899, "name": "Destelbergen" }, "question": "Is Destelbergen approximately on the direct path from Southbank to Elmhurst?", "ground_truth": { "answer": false, "direct_distance_km": 15548.4, "via_waypoint_km": 23282.7, "detour_km": 7734.3, "detour_percent": 49.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Southbank", " End: Elmhurst", " Waypoint: Destelbergen", "Step 2: Calculate direct distance", " Start → End: 15548.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23282.7 km", "Step 4: Calculate detour", " Detour = 23282.7 - 15548.4 = 7734.3 km", " Detour % = (7734.3 / 15548.4) × 100 = 49.7%", "Step 5: Determine if on route (typically < 10% detour)", " 49.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 51.21135, "lon": -1.49393, "name": "Andover" }, "end": { "lat": 41.11006, "lon": 16.69086, "name": "Bitonto" }, "waypoint": { "lat": 4.52949, "lon": -75.64091, "name": "Calarcá" }, "question": "Is Calarcá approximately on the direct path from Andover to Bitonto?", "ground_truth": { "answer": false, "direct_distance_km": 1786.9, "via_waypoint_km": 18386.3, "detour_km": 16599.4, "detour_percent": 929.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Andover", " End: Bitonto", " Waypoint: Calarcá", "Step 2: Calculate direct distance", " Start → End: 1786.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18386.3 km", "Step 4: Calculate detour", " Detour = 18386.3 - 1786.9 = 16599.4 km", " Detour % = (16599.4 / 1786.9) × 100 = 929.0%", "Step 5: Determine if on route (typically < 10% detour)", " 929.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -23.425, "lon": -49.72083, "name": "Carlópolis" }, "end": { "lat": 38.29556, "lon": 31.17778, "name": "Yalvaç" }, "waypoint": { "lat": 43.68167, "lon": 81.78889, "name": "Baytokay" }, "question": "Is Baytokay approximately on the direct path from Carlópolis to Yalvaç?", "ground_truth": { "answer": false, "direct_distance_km": 10853.9, "via_waypoint_km": 19300.6, "detour_km": 8446.7, "detour_percent": 77.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Carlópolis", " End: Yalvaç", " Waypoint: Baytokay", "Step 2: Calculate direct distance", " Start → End: 10853.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19300.6 km", "Step 4: Calculate detour", " Detour = 19300.6 - 10853.9 = 8446.7 km", " Detour % = (8446.7 / 10853.9) × 100 = 77.8%", "Step 5: Determine if on route (typically < 10% detour)", " 77.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 48.8772, "lon": 2.36689, "name": "Hôpital Saint-Louis" }, "end": { "lat": 4.1263, "lon": 27.39527, "name": "Bakwa" }, "waypoint": { "lat": -27.61025, "lon": 153.05388, "name": "Sunnybank Hills" }, "question": "Is Sunnybank Hills approximately on the direct path from Hôpital Saint-Louis to Bakwa?", "ground_truth": { "answer": false, "direct_distance_km": 5511.4, "via_waypoint_km": 30276.4, "detour_km": 24764.9, "detour_percent": 449.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Hôpital Saint-Louis", " End: Bakwa", " Waypoint: Sunnybank Hills", "Step 2: Calculate direct distance", " Start → End: 5511.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 30276.4 km", "Step 4: Calculate detour", " Detour = 30276.4 - 5511.4 = 24764.9 km", " Detour % = (24764.9 / 5511.4) × 100 = 449.3%", "Step 5: Determine if on route (typically < 10% detour)", " 449.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 36.19591, "lon": 1.25537, "name": "Ech Chettia" }, "end": { "lat": -2.13396, "lon": -79.59337, "name": "Milagro" }, "waypoint": { "lat": 33.53375, "lon": -82.13067, "name": "Evans" }, "question": "Is Evans approximately on the direct path from Ech Chettia to Milagro?", "ground_truth": { "answer": false, "direct_distance_km": 9329.2, "via_waypoint_km": 11334.9, "detour_km": 2005.7, "detour_percent": 21.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ech Chettia", " End: Milagro", " Waypoint: Evans", "Step 2: Calculate direct distance", " Start → End: 9329.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 11334.9 km", "Step 4: Calculate detour", " Detour = 11334.9 - 9329.2 = 2005.7 km", " Detour % = (2005.7 / 9329.2) × 100 = 21.5%", "Step 5: Determine if on route (typically < 10% detour)", " 21.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -29.50194, "lon": -51.96639, "name": "Estrela" }, "end": { "lat": 25.69893, "lon": 32.6421, "name": "Luxor" }, "waypoint": { "lat": -15.06665, "lon": 35.22543, "name": "Liwonde" }, "question": "Is Liwonde approximately on the direct path from Estrela to Luxor?", "ground_truth": { "answer": false, "direct_distance_km": 10901.5, "via_waypoint_km": 13466.0, "detour_km": 2564.5, "detour_percent": 23.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Estrela", " End: Luxor", " Waypoint: Liwonde", "Step 2: Calculate direct distance", " Start → End: 10901.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13466.0 km", "Step 4: Calculate detour", " Detour = 13466.0 - 10901.5 = 2564.5 km", " Detour % = (2564.5 / 10901.5) × 100 = 23.5%", "Step 5: Determine if on route (typically < 10% detour)", " 23.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 42.13279, "lon": 21.71585, "name": "Kumanovo" }, "end": { "lat": 44.96694, "lon": 15.94306, "name": "Cazin" }, "waypoint": { "lat": 39.73598, "lon": 116.13295, "name": "Liangxiang" }, "question": "Is Liangxiang approximately on the direct path from Kumanovo to Cazin?", "ground_truth": { "answer": false, "direct_distance_km": 561.7, "via_waypoint_km": 15182.2, "detour_km": 14620.5, "detour_percent": 2602.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kumanovo", " End: Cazin", " Waypoint: Liangxiang", "Step 2: Calculate direct distance", " Start → End: 561.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15182.2 km", "Step 4: Calculate detour", " Detour = 15182.2 - 561.7 = 14620.5 km", " Detour % = (14620.5 / 561.7) × 100 = 2602.9%", "Step 5: Determine if on route (typically < 10% detour)", " 2602.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 4.81367, "lon": -74.35453, "name": "Facatativá" }, "end": { "lat": -33.44735, "lon": -70.58279, "name": "Ñuñoa" }, "waypoint": { "lat": 3.0693, "lon": 101.6074, "name": "Bandar Sunway" }, "question": "Is Bandar Sunway approximately on the direct path from Facatativá to Ñuñoa?", "ground_truth": { "answer": false, "direct_distance_km": 4272.9, "via_waypoint_km": 35571.5, "detour_km": 31298.6, "detour_percent": 732.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Facatativá", " End: Ñuñoa", " Waypoint: Bandar Sunway", "Step 2: Calculate direct distance", " Start → End: 4272.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 35571.5 km", "Step 4: Calculate detour", " Detour = 35571.5 - 4272.9 = 31298.6 km", " Detour % = (31298.6 / 4272.9) × 100 = 732.5%", "Step 5: Determine if on route (typically < 10% detour)", " 732.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 42.06174, "lon": 2.25528, "name": "Vilaseca" }, "end": { "lat": 5.10658, "lon": 7.36667, "name": "Aba" }, "waypoint": { "lat": 25.69893, "lon": 32.6421, "name": "Luxor" }, "question": "Is Luxor approximately on the direct path from Vilaseca to Aba?", "ground_truth": { "answer": false, "direct_distance_km": 4140.3, "via_waypoint_km": 6848.2, "detour_km": 2707.9, "detour_percent": 65.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Vilaseca", " End: Aba", " Waypoint: Luxor", "Step 2: Calculate direct distance", " Start → End: 4140.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 6848.2 km", "Step 4: Calculate detour", " Detour = 6848.2 - 4140.3 = 2707.9 km", " Detour % = (2707.9 / 4140.3) × 100 = 65.4%", "Step 5: Determine if on route (typically < 10% detour)", " 65.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 36.95389, "lon": 118.10472, "name": "Suozhen" }, "end": { "lat": 1.4907, "lon": 103.8788, "name": "Masai" }, "waypoint": { "lat": 10.63333, "lon": -4.76667, "name": "Banfora" }, "question": "Is Banfora approximately on the direct path from Suozhen to Masai?", "ground_truth": { "answer": false, "direct_distance_km": 4204.9, "via_waypoint_km": 24062.6, "detour_km": 19857.7, "detour_percent": 472.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Suozhen", " End: Masai", " Waypoint: Banfora", "Step 2: Calculate direct distance", " Start → End: 4204.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24062.6 km", "Step 4: Calculate detour", " Detour = 24062.6 - 4204.9 = 19857.7 km", " Detour % = (19857.7 / 4204.9) × 100 = 472.3%", "Step 5: Determine if on route (typically < 10% detour)", " 472.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 53.54296, "lon": -2.63706, "name": "Wigan" }, "end": { "lat": 36.3, "lon": 139.88333, "name": "Yūki" }, "waypoint": { "lat": -27.3171, "lon": 153.03097, "name": "Bracken Ridge" }, "question": "Is Bracken Ridge approximately on the direct path from Wigan to Yūki?", "ground_truth": { "answer": false, "direct_distance_km": 9394.2, "via_waypoint_km": 23689.1, "detour_km": 14294.8, "detour_percent": 152.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Wigan", " End: Yūki", " Waypoint: Bracken Ridge", "Step 2: Calculate direct distance", " Start → End: 9394.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23689.1 km", "Step 4: Calculate detour", " Detour = 23689.1 - 9394.2 = 14294.8 km", " Detour % = (14294.8 / 9394.2) × 100 = 152.2%", "Step 5: Determine if on route (typically < 10% detour)", " 152.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 32.62781, "lon": -115.45446, "name": "Mexicali" }, "end": { "lat": 41.48281, "lon": -87.33281, "name": "Merrillville" }, "waypoint": { "lat": 26.11667, "lon": 79.73333, "name": "Kālpi" }, "question": "Is Kālpi approximately on the direct path from Mexicali to Merrillville?", "ground_truth": { "answer": false, "direct_distance_km": 2667.8, "via_waypoint_km": 25669.1, "detour_km": 23001.3, "detour_percent": 862.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Mexicali", " End: Merrillville", " Waypoint: Kālpi", "Step 2: Calculate direct distance", " Start → End: 2667.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 25669.1 km", "Step 4: Calculate detour", " Detour = 25669.1 - 2667.8 = 23001.3 km", " Detour % = (23001.3 / 2667.8) × 100 = 862.2%", "Step 5: Determine if on route (typically < 10% detour)", " 862.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 30.18479, "lon": 31.10649, "name": "Manshīyat al Qanāţir" }, "end": { "lat": 25.59889, "lon": 86.26074, "name": "Bakhri" }, "waypoint": { "lat": 51.48167, "lon": 5.66111, "name": "Helmond" }, "question": "Is Helmond approximately on the direct path from Manshīyat al Qanāţir to Bakhri?", "ground_truth": { "answer": false, "direct_distance_km": 5392.7, "via_waypoint_km": 10337.2, "detour_km": 4944.6, "detour_percent": 91.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Manshīyat al Qanāţir", " End: Bakhri", " Waypoint: Helmond", "Step 2: Calculate direct distance", " Start → End: 5392.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 10337.2 km", "Step 4: Calculate detour", " Detour = 10337.2 - 5392.7 = 4944.6 km", " Detour % = (4944.6 / 5392.7) × 100 = 91.7%", "Step 5: Determine if on route (typically < 10% detour)", " 91.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 29.85058, "lon": 115.5525, "name": "Wuxue" }, "end": { "lat": 47.27506, "lon": -2.2179, "name": "Saint-Nazaire" }, "waypoint": { "lat": 51.5388, "lon": 7.22572, "name": "Herne" }, "question": "Is Herne approximately on the direct path from Wuxue to Saint-Nazaire?", "ground_truth": { "answer": true, "direct_distance_km": 9424.0, "via_waypoint_km": 9424.2, "detour_km": 0.2, "detour_percent": 0.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Wuxue", " End: Saint-Nazaire", " Waypoint: Herne", "Step 2: Calculate direct distance", " Start → End: 9424.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 9424.2 km", "Step 4: Calculate detour", " Detour = 9424.2 - 9424.0 = 0.2 km", " Detour % = (0.2 / 9424.0) × 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": 40.40351, "lon": -3.69468, "name": "Palos de Moguer" }, "end": { "lat": 50.7838, "lon": -0.96869, "name": "Hayling Island" }, "waypoint": { "lat": 5.28515, "lon": -2.76658, "name": "Elubo" }, "question": "Is Elubo approximately on the direct path from Palos de Moguer to Hayling Island?", "ground_truth": { "answer": false, "direct_distance_km": 1173.3, "via_waypoint_km": 8968.1, "detour_km": 7794.7, "detour_percent": 664.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Palos de Moguer", " End: Hayling Island", " Waypoint: Elubo", "Step 2: Calculate direct distance", " Start → End: 1173.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 8968.1 km", "Step 4: Calculate detour", " Detour = 8968.1 - 1173.3 = 7794.7 km", " Detour % = (7794.7 / 1173.3) × 100 = 664.3%", "Step 5: Determine if on route (typically < 10% detour)", " 664.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 33.57086, "lon": -117.63561, "name": "Ladera Ranch" }, "end": { "lat": -11.48676, "lon": 16.69663, "name": "Andulo" }, "waypoint": { "lat": 39.871, "lon": 139.84926, "name": "Oga" }, "question": "Is Oga approximately on the direct path from Ladera Ranch to Andulo?", "ground_truth": { "answer": false, "direct_distance_km": 14777.7, "via_waypoint_km": 22255.1, "detour_km": 7477.3, "detour_percent": 50.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ladera Ranch", " End: Andulo", " Waypoint: Oga", "Step 2: Calculate direct distance", " Start → End: 14777.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22255.1 km", "Step 4: Calculate detour", " Detour = 22255.1 - 14777.7 = 7477.3 km", " Detour % = (7477.3 / 14777.7) × 100 = 50.6%", "Step 5: Determine if on route (typically < 10% detour)", " 50.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 52.70793, "lon": 25.33509, "name": "Ivatsevichi" }, "end": { "lat": -18.66667, "lon": 44.61667, "name": "Antsalova" }, "waypoint": { "lat": -22.54925, "lon": -55.7387, "name": "Pedro Juan Caballero" }, "question": "Is Pedro Juan Caballero approximately on the direct path from Ivatsevichi to Antsalova?", "ground_truth": { "answer": false, "direct_distance_km": 8151.8, "via_waypoint_km": 21637.0, "detour_km": 13485.2, "detour_percent": 165.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ivatsevichi", " End: Antsalova", " Waypoint: Pedro Juan Caballero", "Step 2: Calculate direct distance", " Start → End: 8151.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21637.0 km", "Step 4: Calculate detour", " Detour = 21637.0 - 8151.8 = 13485.2 km", " Detour % = (13485.2 / 8151.8) × 100 = 165.4%", "Step 5: Determine if on route (typically < 10% detour)", " 165.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -22.83917, "lon": -42.22889, "name": "Iguaba Grande" }, "end": { "lat": 34.69999, "lon": 10.69501, "name": "Sidi Abid" }, "waypoint": { "lat": 39.92054, "lon": -105.08665, "name": "Broomfield" }, "question": "Is Broomfield approximately on the direct path from Iguaba Grande to Sidi Abid?", "ground_truth": { "answer": false, "direct_distance_km": 8490.8, "via_waypoint_km": 18966.2, "detour_km": 10475.4, "detour_percent": 123.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Iguaba Grande", " End: Sidi Abid", " Waypoint: Broomfield", "Step 2: Calculate direct distance", " Start → End: 8490.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18966.2 km", "Step 4: Calculate detour", " Detour = 18966.2 - 8490.8 = 10475.4 km", " Detour % = (10475.4 / 8490.8) × 100 = 123.4%", "Step 5: Determine if on route (typically < 10% detour)", " 123.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 5.26598, "lon": -76.56487, "name": "Tadó" }, "end": { "lat": -4.78944, "lon": -40.06333, "name": "Monsenhor Tabosa" }, "waypoint": { "lat": 49.26636, "lon": -122.95263, "name": "Burnaby" }, "question": "Is Burnaby approximately on the direct path from Tadó to Monsenhor Tabosa?", "ground_truth": { "answer": false, "direct_distance_km": 4204.9, "via_waypoint_km": 16438.1, "detour_km": 12233.2, "detour_percent": 290.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Tadó", " End: Monsenhor Tabosa", " Waypoint: Burnaby", "Step 2: Calculate direct distance", " Start → End: 4204.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16438.1 km", "Step 4: Calculate detour", " Detour = 16438.1 - 4204.9 = 12233.2 km", " Detour % = (12233.2 / 4204.9) × 100 = 290.9%", "Step 5: Determine if on route (typically < 10% detour)", " 290.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 39.8028, "lon": 141.13466, "name": "Takizawa" }, "end": { "lat": 69.20279, "lon": 33.43697, "name": "Polyarnyy" }, "waypoint": { "lat": -19.4, "lon": 46.95, "name": "Faratsiho" }, "question": "Is Faratsiho approximately on the direct path from Takizawa to Polyarnyy?", "ground_truth": { "answer": false, "direct_distance_km": 6557.0, "via_waypoint_km": 21630.9, "detour_km": 15073.9, "detour_percent": 229.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Takizawa", " End: Polyarnyy", " Waypoint: Faratsiho", "Step 2: Calculate direct distance", " Start → End: 6557.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21630.9 km", "Step 4: Calculate detour", " Detour = 21630.9 - 6557.0 = 15073.9 km", " Detour % = (15073.9 / 6557.0) × 100 = 229.9%", "Step 5: Determine if on route (typically < 10% detour)", " 229.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -31.29368, "lon": -64.2977, "name": "Villa Allende" }, "end": { "lat": 5.10658, "lon": 7.36667, "name": "Aba" }, "waypoint": { "lat": 7.50077, "lon": 134.6238, "name": "Ngerulmud" }, "question": "Is Ngerulmud approximately on the direct path from Villa Allende to Aba?", "ground_truth": { "answer": false, "direct_distance_km": 8584.5, "via_waypoint_km": 30718.5, "detour_km": 22134.0, "detour_percent": 257.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Villa Allende", " End: Aba", " Waypoint: Ngerulmud", "Step 2: Calculate direct distance", " Start → End: 8584.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 30718.5 km", "Step 4: Calculate detour", " Detour = 30718.5 - 8584.5 = 22134.0 km", " Detour % = (22134.0 / 8584.5) × 100 = 257.8%", "Step 5: Determine if on route (typically < 10% detour)", " 257.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 53.11865, "lon": 13.5022, "name": "Templin" }, "end": { "lat": 29.03556, "lon": 31.11792, "name": "New Bani Sewif City" }, "waypoint": { "lat": -7.61417, "lon": -72.89583, "name": "Mâncio Lima" }, "question": "Is Mâncio Lima approximately on the direct path from Templin to New Bani Sewif City?", "ground_truth": { "answer": false, "direct_distance_km": 3039.3, "via_waypoint_km": 22221.9, "detour_km": 19182.6, "detour_percent": 631.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Templin", " End: New Bani Sewif City", " Waypoint: Mâncio Lima", "Step 2: Calculate direct distance", " Start → End: 3039.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22221.9 km", "Step 4: Calculate detour", " Detour = 22221.9 - 3039.3 = 19182.6 km", " Detour % = (19182.6 / 3039.3) × 100 = 631.1%", "Step 5: Determine if on route (typically < 10% detour)", " 631.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 39.92083, "lon": 40.695, "name": "Aşkale" }, "end": { "lat": 37.9075, "lon": 125.51, "name": "Kangnyŏng" }, "waypoint": { "lat": 11.78442, "lon": 9.6069, "name": "Kiyawa" }, "question": "Is Kiyawa approximately on the direct path from Aşkale to Kangnyŏng?", "ground_truth": { "answer": false, "direct_distance_km": 7041.2, "via_waypoint_km": 15736.5, "detour_km": 8695.2, "detour_percent": 123.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Aşkale", " End: Kangnyŏng", " Waypoint: Kiyawa", "Step 2: Calculate direct distance", " Start → End: 7041.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15736.5 km", "Step 4: Calculate detour", " Detour = 15736.5 - 7041.2 = 8695.2 km", " Detour % = (8695.2 / 7041.2) × 100 = 123.5%", "Step 5: Determine if on route (typically < 10% detour)", " 123.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -30.11389, "lon": -51.325, "name": "Guaíba" }, "end": { "lat": -22.91769, "lon": -43.18812, "name": "Santa Teresa" }, "waypoint": { "lat": 1.15944, "lon": 31.61083, "name": "Butemba" }, "question": "Is Butemba approximately on the direct path from Guaíba to Santa Teresa?", "ground_truth": { "answer": false, "direct_distance_km": 1137.6, "via_waypoint_km": 17899.2, "detour_km": 16761.6, "detour_percent": 1473.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Guaíba", " End: Santa Teresa", " Waypoint: Butemba", "Step 2: Calculate direct distance", " Start → End: 1137.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17899.2 km", "Step 4: Calculate detour", " Detour = 17899.2 - 1137.6 = 16761.6 km", " Detour % = (16761.6 / 1137.6) × 100 = 1473.5%", "Step 5: Determine if on route (typically < 10% detour)", " 1473.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 34.87833, "lon": -1.315, "name": "Tlemcen" }, "end": { "lat": -19.93556, "lon": -40.60028, "name": "Santa Teresa" }, "waypoint": { "lat": 24.374, "lon": 88.60114, "name": "Rajshahi" }, "question": "Is Rajshahi approximately on the direct path from Tlemcen to Santa Teresa?", "ground_truth": { "answer": false, "direct_distance_km": 7372.3, "via_waypoint_km": 23270.9, "detour_km": 15898.6, "detour_percent": 215.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Tlemcen", " End: Santa Teresa", " Waypoint: Rajshahi", "Step 2: Calculate direct distance", " Start → End: 7372.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23270.9 km", "Step 4: Calculate detour", " Detour = 23270.9 - 7372.3 = 15898.6 km", " Detour % = (15898.6 / 7372.3) × 100 = 215.7%", "Step 5: Determine if on route (typically < 10% detour)", " 215.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 35.65, "lon": 140.31667, "name": "Yachimata" }, "end": { "lat": -13.31278, "lon": 35.24056, "name": "Lichinga" }, "waypoint": { "lat": -11.13556, "lon": -42.11278, "name": "Central" }, "question": "Is Central approximately on the direct path from Yachimata to Lichinga?", "ground_truth": { "answer": false, "direct_distance_km": 12217.0, "via_waypoint_km": 25652.8, "detour_km": 13435.8, "detour_percent": 110.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Yachimata", " End: Lichinga", " Waypoint: Central", "Step 2: Calculate direct distance", " Start → End: 12217.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 25652.8 km", "Step 4: Calculate detour", " Detour = 25652.8 - 12217.0 = 13435.8 km", " Detour % = (13435.8 / 12217.0) × 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": -21.95472, "lon": -47.99667, "name": "Ibaté" }, "end": { "lat": 35.3, "lon": 135.11667, "name": "Fukuchiyama" }, "waypoint": { "lat": 33.88724, "lon": -118.35257, "name": "Lawndale" }, "question": "Is Lawndale approximately on the direct path from Ibaté to Fukuchiyama?", "ground_truth": { "answer": true, "direct_distance_km": 18500.6, "via_waypoint_km": 18867.1, "detour_km": 366.5, "detour_percent": 2.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ibaté", " End: Fukuchiyama", " Waypoint: Lawndale", "Step 2: Calculate direct distance", " Start → End: 18500.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18867.1 km", "Step 4: Calculate detour", " Detour = 18867.1 - 18500.6 = 366.5 km", " Detour % = (366.5 / 18500.6) × 100 = 2.0%", "Step 5: Determine if on route (typically < 10% detour)", " 2.0% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -23.51567, "lon": -46.49373, "name": "Ponte Rasa" }, "end": { "lat": -15.45278, "lon": -47.61417, "name": "Planaltina" }, "waypoint": { "lat": -7.35833, "lon": -35.89833, "name": "Queimadas" }, "question": "Is Queimadas approximately on the direct path from Ponte Rasa to Planaltina?", "ground_truth": { "answer": false, "direct_distance_km": 904.2, "via_waypoint_km": 3684.2, "detour_km": 2780.0, "detour_percent": 307.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ponte Rasa", " End: Planaltina", " Waypoint: Queimadas", "Step 2: Calculate direct distance", " Start → End: 904.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 3684.2 km", "Step 4: Calculate detour", " Detour = 3684.2 - 904.2 = 2780.0 km", " Detour % = (2780.0 / 904.2) × 100 = 307.5%", "Step 5: Determine if on route (typically < 10% detour)", " 307.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 47.67323, "lon": -117.23937, "name": "Spokane Valley" }, "end": { "lat": 29.95, "lon": 31.2, "name": "Abū an Numrus" }, "waypoint": { "lat": 32.64101, "lon": 73.72039, "name": "Dinga" }, "question": "Is Dinga approximately on the direct path from Spokane Valley to Abū an Numrus?", "ground_truth": { "answer": false, "direct_distance_km": 10825.5, "via_waypoint_km": 15042.2, "detour_km": 4216.7, "detour_percent": 39.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Spokane Valley", " End: Abū an Numrus", " Waypoint: Dinga", "Step 2: Calculate direct distance", " Start → End: 10825.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15042.2 km", "Step 4: Calculate detour", " Detour = 15042.2 - 10825.5 = 4216.7 km", " Detour % = (4216.7 / 10825.5) × 100 = 39.0%", "Step 5: Determine if on route (typically < 10% detour)", " 39.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 51.40944, "lon": 46.04833, "name": "Privolzhskiy" }, "end": { "lat": 42.29306, "lon": 123.84139, "name": "Tieling" }, "waypoint": { "lat": 36.74701, "lon": 118.31655, "name": "Shaozhuang" }, "question": "Is Shaozhuang approximately on the direct path from Privolzhskiy to Tieling?", "ground_truth": { "answer": false, "direct_distance_km": 5718.3, "via_waypoint_km": 6525.5, "detour_km": 807.3, "detour_percent": 14.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Privolzhskiy", " End: Tieling", " Waypoint: Shaozhuang", "Step 2: Calculate direct distance", " Start → End: 5718.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 6525.5 km", "Step 4: Calculate detour", " Detour = 6525.5 - 5718.3 = 807.3 km", " Detour % = (807.3 / 5718.3) × 100 = 14.1%", "Step 5: Determine if on route (typically < 10% detour)", " 14.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -4.02328, "lon": 19.53385, "name": "Mangai" }, "end": { "lat": 29.24522, "lon": 105.95663, "name": "Linjiang" }, "waypoint": { "lat": 33.19133, "lon": 104.42009, "name": "Zhongzhai" }, "question": "Is Zhongzhai approximately on the direct path from Mangai to Linjiang?", "ground_truth": { "answer": true, "direct_distance_km": 9879.9, "via_waypoint_km": 10240.6, "detour_km": 360.7, "detour_percent": 3.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Mangai", " End: Linjiang", " Waypoint: Zhongzhai", "Step 2: Calculate direct distance", " Start → End: 9879.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 10240.6 km", "Step 4: Calculate detour", " Detour = 10240.6 - 9879.9 = 360.7 km", " Detour % = (360.7 / 9879.9) × 100 = 3.7%", "Step 5: Determine if on route (typically < 10% detour)", " 3.7% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 25.74572, "lon": 71.39211, "name": "Bārmer" }, "end": { "lat": 13.93244, "lon": 120.81327, "name": "Calaca" }, "waypoint": { "lat": 8.61565, "lon": 6.4185, "name": "Baro" }, "question": "Is Baro approximately on the direct path from Bārmer to Calaca?", "ground_truth": { "answer": false, "direct_distance_km": 5301.8, "via_waypoint_km": 19447.7, "detour_km": 14145.9, "detour_percent": 266.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Bārmer", " End: Calaca", " Waypoint: Baro", "Step 2: Calculate direct distance", " Start → End: 5301.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19447.7 km", "Step 4: Calculate detour", " Detour = 19447.7 - 5301.8 = 14145.9 km", " Detour % = (14145.9 / 5301.8) × 100 = 266.8%", "Step 5: Determine if on route (typically < 10% detour)", " 266.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 1.48218, "lon": 124.84892, "name": "Manado" }, "end": { "lat": 34.40861, "lon": 132.73682, "name": "Higashihiroshima" }, "waypoint": { "lat": 41.6764, "lon": -91.58045, "name": "Coralville" }, "question": "Is Coralville approximately on the direct path from Manado to Higashihiroshima?", "ground_truth": { "answer": false, "direct_distance_km": 3751.7, "via_waypoint_km": 24400.3, "detour_km": 20648.5, "detour_percent": 550.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Manado", " End: Higashihiroshima", " Waypoint: Coralville", "Step 2: Calculate direct distance", " Start → End: 3751.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24400.3 km", "Step 4: Calculate detour", " Detour = 24400.3 - 3751.7 = 20648.5 km", " Detour % = (20648.5 / 3751.7) × 100 = 550.4%", "Step 5: Determine if on route (typically < 10% detour)", " 550.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 38.38408, "lon": 106.272, "name": "Wangyuan" }, "end": { "lat": 2.2186, "lon": 102.1995, "name": "Klebang Besar" }, "waypoint": { "lat": 19.06406, "lon": -98.30352, "name": "Cholula" }, "question": "Is Cholula approximately on the direct path from Wangyuan to Klebang Besar?", "ground_truth": { "answer": false, "direct_distance_km": 4042.7, "via_waypoint_km": 29887.5, "detour_km": 25844.8, "detour_percent": 639.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Wangyuan", " End: Klebang Besar", " Waypoint: Cholula", "Step 2: Calculate direct distance", " Start → End: 4042.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 29887.5 km", "Step 4: Calculate detour", " Detour = 29887.5 - 4042.7 = 25844.8 km", " Detour % = (25844.8 / 4042.7) × 100 = 639.3%", "Step 5: Determine if on route (typically < 10% detour)", " 639.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 32.38472, "lon": 109.34556, "name": "Pingli" }, "end": { "lat": 9.96936, "lon": 77.78621, "name": "Usilampatti" }, "waypoint": { "lat": 40.91667, "lon": 72.11667, "name": "Haqqulobod" }, "question": "Is Haqqulobod approximately on the direct path from Pingli to Usilampatti?", "ground_truth": { "answer": false, "direct_distance_km": 4084.5, "via_waypoint_km": 6911.6, "detour_km": 2827.1, "detour_percent": 69.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Pingli", " End: Usilampatti", " Waypoint: Haqqulobod", "Step 2: Calculate direct distance", " Start → End: 4084.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 6911.6 km", "Step 4: Calculate detour", " Detour = 6911.6 - 4084.5 = 2827.1 km", " Detour % = (2827.1 / 4084.5) × 100 = 69.2%", "Step 5: Determine if on route (typically < 10% detour)", " 69.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 44.67134, "lon": -63.57719, "name": "Dartmouth" }, "end": { "lat": -23.51056, "lon": -46.87611, "name": "Barueri" }, "waypoint": { "lat": -7.2036, "lon": 146.64014, "name": "Bulolo" }, "question": "Is Bulolo approximately on the direct path from Dartmouth to Barueri?", "ground_truth": { "answer": false, "direct_distance_km": 7769.2, "via_waypoint_km": 31225.8, "detour_km": 23456.6, "detour_percent": 301.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Dartmouth", " End: Barueri", " Waypoint: Bulolo", "Step 2: Calculate direct distance", " Start → End: 7769.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 31225.8 km", "Step 4: Calculate detour", " Detour = 31225.8 - 7769.2 = 23456.6 km", " Detour % = (23456.6 / 7769.2) × 100 = 301.9%", "Step 5: Determine if on route (typically < 10% detour)", " 301.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -15.29333, "lon": -39.07528, "name": "Una" }, "end": { "lat": 33.44001, "lon": -112.05805, "name": "Central City" }, "waypoint": { "lat": 1.00389, "lon": 33.92556, "name": "Budaka" }, "question": "Is Budaka approximately on the direct path from Una to Central City?", "ground_truth": { "answer": false, "direct_distance_km": 9432.0, "via_waypoint_km": 23005.3, "detour_km": 13573.3, "detour_percent": 143.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Una", " End: Central City", " Waypoint: Budaka", "Step 2: Calculate direct distance", " Start → End: 9432.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23005.3 km", "Step 4: Calculate detour", " Detour = 23005.3 - 9432.0 = 13573.3 km", " Detour % = (13573.3 / 9432.0) × 100 = 143.9%", "Step 5: Determine if on route (typically < 10% detour)", " 143.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 51.25435, "lon": 6.39441, "name": "Viersen" }, "end": { "lat": 38.67033, "lon": -89.98455, "name": "Collinsville" }, "waypoint": { "lat": -22.73028, "lon": -42.71417, "name": "Tanguá" }, "question": "Is Tanguá approximately on the direct path from Viersen to Collinsville?", "ground_truth": { "answer": false, "direct_distance_km": 7154.2, "via_waypoint_km": 17935.7, "detour_km": 10781.5, "detour_percent": 150.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Viersen", " End: Collinsville", " Waypoint: Tanguá", "Step 2: Calculate direct distance", " Start → End: 7154.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17935.7 km", "Step 4: Calculate detour", " Detour = 17935.7 - 7154.2 = 10781.5 km", " Detour % = (10781.5 / 7154.2) × 100 = 150.7%", "Step 5: Determine if on route (typically < 10% detour)", " 150.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -23.49337, "lon": -46.74761, "name": "Sao Domingos" }, "end": { "lat": 52.67659, "lon": -2.44926, "name": "Telford" }, "waypoint": { "lat": 13.78338, "lon": 77.79667, "name": "Bāgepalli" }, "question": "Is Bāgepalli approximately on the direct path from Sao Domingos to Telford?", "ground_truth": { "answer": false, "direct_distance_km": 9491.2, "via_waypoint_km": 22245.8, "detour_km": 12754.6, "detour_percent": 134.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Sao Domingos", " End: Telford", " Waypoint: Bāgepalli", "Step 2: Calculate direct distance", " Start → End: 9491.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22245.8 km", "Step 4: Calculate detour", " Detour = 22245.8 - 9491.2 = 12754.6 km", " Detour % = (12754.6 / 9491.2) × 100 = 134.4%", "Step 5: Determine if on route (typically < 10% detour)", " 134.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 43.64801, "lon": -93.36827, "name": "Albert Lea" }, "end": { "lat": -0.49167, "lon": 117.14583, "name": "Samarinda" }, "waypoint": { "lat": 42.34106, "lon": -3.70184, "name": "Burgos" }, "question": "Is Burgos approximately on the direct path from Albert Lea to Samarinda?", "ground_truth": { "answer": false, "direct_distance_km": 14343.8, "via_waypoint_km": 19428.4, "detour_km": 5084.6, "detour_percent": 35.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Albert Lea", " End: Samarinda", " Waypoint: Burgos", "Step 2: Calculate direct distance", " Start → End: 14343.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19428.4 km", "Step 4: Calculate detour", " Detour = 19428.4 - 14343.8 = 5084.6 km", " Detour % = (5084.6 / 14343.8) × 100 = 35.4%", "Step 5: Determine if on route (typically < 10% detour)", " 35.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 41.22392, "lon": 1.72511, "name": "Vilanova i la Geltrú" }, "end": { "lat": -33.91439, "lon": 151.24895, "name": "Randwick" }, "waypoint": { "lat": 34.42202, "lon": 117.46764, "name": "Jiawang Zhen" }, "question": "Is Jiawang Zhen approximately on the direct path from Vilanova i la Geltrú to Randwick?", "ground_truth": { "answer": true, "direct_distance_km": 17225.1, "via_waypoint_km": 17724.0, "detour_km": 498.9, "detour_percent": 2.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Vilanova i la Geltrú", " End: Randwick", " Waypoint: Jiawang Zhen", "Step 2: Calculate direct distance", " Start → End: 17225.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17724.0 km", "Step 4: Calculate detour", " Detour = 17724.0 - 17225.1 = 498.9 km", " Detour % = (498.9 / 17225.1) × 100 = 2.9%", "Step 5: Determine if on route (typically < 10% detour)", " 2.9% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 30.16719, "lon": 77.30367, "name": "Jagādhri" }, "end": { "lat": 52.52379, "lon": 13.18916, "name": "Wilhelmstadt" }, "waypoint": { "lat": -6.63889, "lon": -79.78889, "name": "Ferreñafe" }, "question": "Is Ferreñafe approximately on the direct path from Jagādhri to Wilhelmstadt?", "ground_truth": { "answer": false, "direct_distance_km": 5678.0, "via_waypoint_km": 27264.1, "detour_km": 21586.1, "detour_percent": 380.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Jagādhri", " End: Wilhelmstadt", " Waypoint: Ferreñafe", "Step 2: Calculate direct distance", " Start → End: 5678.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 27264.1 km", "Step 4: Calculate detour", " Detour = 27264.1 - 5678.0 = 21586.1 km", " Detour % = (21586.1 / 5678.0) × 100 = 380.2%", "Step 5: Determine if on route (typically < 10% detour)", " 380.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 22.29507, "lon": 82.02366, "name": "Kotā" }, "end": { "lat": 36.63773, "lon": 3.37127, "name": "Arbatache" }, "waypoint": { "lat": -33.60627, "lon": -70.87649, "name": "Peñaflor" }, "question": "Is Peñaflor approximately on the direct path from Kotā to Arbatache?", "ground_truth": { "answer": false, "direct_distance_km": 7575.9, "via_waypoint_km": 28042.8, "detour_km": 20466.9, "detour_percent": 270.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kotā", " End: Arbatache", " Waypoint: Peñaflor", "Step 2: Calculate direct distance", " Start → End: 7575.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 28042.8 km", "Step 4: Calculate detour", " Detour = 28042.8 - 7575.9 = 20466.9 km", " Detour % = (20466.9 / 7575.9) × 100 = 270.2%", "Step 5: Determine if on route (typically < 10% detour)", " 270.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 32.1836, "lon": 34.87386, "name": "Ra'anana" }, "end": { "lat": -26.0941, "lon": 28.00123, "name": "Randburg" }, "waypoint": { "lat": 0.02538, "lon": 36.40865, "name": "Mairo Inya" }, "question": "Is Mairo Inya approximately on the direct path from Ra'anana to Randburg?", "ground_truth": { "answer": true, "direct_distance_km": 6521.0, "via_waypoint_km": 6620.5, "detour_km": 99.5, "detour_percent": 1.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ra'anana", " End: Randburg", " Waypoint: Mairo Inya", "Step 2: Calculate direct distance", " Start → End: 6521.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 6620.5 km", "Step 4: Calculate detour", " Detour = 6620.5 - 6521.0 = 99.5 km", " Detour % = (99.5 / 6521.0) × 100 = 1.5%", "Step 5: Determine if on route (typically < 10% detour)", " 1.5% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -19.96722, "lon": -43.80417, "name": "Raposos" }, "end": { "lat": 6.54233, "lon": 21.98633, "name": "Bria" }, "waypoint": { "lat": 38.25464, "lon": -121.29995, "name": "Galt" }, "question": "Is Galt approximately on the direct path from Raposos to Bria?", "ground_truth": { "answer": false, "direct_distance_km": 7770.2, "via_waypoint_km": 24091.5, "detour_km": 16321.3, "detour_percent": 210.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Raposos", " End: Bria", " Waypoint: Galt", "Step 2: Calculate direct distance", " Start → End: 7770.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24091.5 km", "Step 4: Calculate detour", " Detour = 24091.5 - 7770.2 = 16321.3 km", " Detour % = (16321.3 / 7770.2) × 100 = 210.1%", "Step 5: Determine if on route (typically < 10% detour)", " 210.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -13.53806, "lon": -39.09861, "name": "Taperoá" }, "end": { "lat": -14.75583, "lon": -43.93222, "name": "Manga" }, "waypoint": { "lat": 57.46417, "lon": 9.98229, "name": "Hjørring" }, "question": "Is Hjørring approximately on the direct path from Taperoá to Manga?", "ground_truth": { "answer": false, "direct_distance_km": 538.5, "via_waypoint_km": 18502.8, "detour_km": 17964.3, "detour_percent": 3336.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Taperoá", " End: Manga", " Waypoint: Hjørring", "Step 2: Calculate direct distance", " Start → End: 538.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18502.8 km", "Step 4: Calculate detour", " Detour = 18502.8 - 538.5 = 17964.3 km", " Detour % = (17964.3 / 538.5) × 100 = 3336.3%", "Step 5: Determine if on route (typically < 10% detour)", " 3336.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 5.46339, "lon": 100.38144, "name": "Permatang Kuching" }, "end": { "lat": 4.99337, "lon": 19.96186, "name": "Kouango" }, "waypoint": { "lat": 40.41161, "lon": -3.67343, "name": "Niño Jesús" }, "question": "Is Niño Jesús approximately on the direct path from Permatang Kuching to Kouango?", "ground_truth": { "answer": false, "direct_distance_km": 8897.6, "via_waypoint_km": 15380.8, "detour_km": 6483.2, "detour_percent": 72.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Permatang Kuching", " End: Kouango", " Waypoint: Niño Jesús", "Step 2: Calculate direct distance", " Start → End: 8897.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15380.8 km", "Step 4: Calculate detour", " Detour = 15380.8 - 8897.6 = 6483.2 km", " Detour % = (6483.2 / 8897.6) × 100 = 72.9%", "Step 5: Determine if on route (typically < 10% detour)", " 72.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 21.62878, "lon": 69.63386, "name": "Chhaya" }, "end": { "lat": 34.54416, "lon": 135.7382, "name": "Hikiso" }, "waypoint": { "lat": 40.60816, "lon": -74.27765, "name": "Rahway" }, "question": "Is Rahway approximately on the direct path from Chhaya to Hikiso?", "ground_truth": { "answer": false, "direct_distance_km": 6529.8, "via_waypoint_km": 23264.1, "detour_km": 16734.4, "detour_percent": 256.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Chhaya", " End: Hikiso", " Waypoint: Rahway", "Step 2: Calculate direct distance", " Start → End: 6529.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23264.1 km", "Step 4: Calculate detour", " Detour = 23264.1 - 6529.8 = 16734.4 km", " Detour % = (16734.4 / 6529.8) × 100 = 256.3%", "Step 5: Determine if on route (typically < 10% detour)", " 256.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 7.90303, "lon": 4.31364, "name": "Ejigbo" }, "end": { "lat": -20.77556, "lon": -41.67944, "name": "Guaçuí" }, "waypoint": { "lat": 36.95151, "lon": 14.52788, "name": "Vittoria" }, "question": "Is Vittoria approximately on the direct path from Ejigbo to Guaçuí?", "ground_truth": { "answer": false, "direct_distance_km": 5950.5, "via_waypoint_km": 12100.4, "detour_km": 6150.0, "detour_percent": 103.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ejigbo", " End: Guaçuí", " Waypoint: Vittoria", "Step 2: Calculate direct distance", " Start → End: 5950.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12100.4 km", "Step 4: Calculate detour", " Detour = 12100.4 - 5950.5 = 6150.0 km", " Detour % = (6150.0 / 5950.5) × 100 = 103.4%", "Step 5: Determine if on route (typically < 10% detour)", " 103.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 13.41033, "lon": -16.70815, "name": "Sukuta" }, "end": { "lat": 52.19656, "lon": 21.17752, "name": "Wawer" }, "waypoint": { "lat": -11.09972, "lon": -38.51361, "name": "Cipó" }, "question": "Is Cipó approximately on the direct path from Sukuta to Wawer?", "ground_truth": { "answer": false, "direct_distance_km": 5467.4, "via_waypoint_km": 12674.1, "detour_km": 7206.7, "detour_percent": 131.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Sukuta", " End: Wawer", " Waypoint: Cipó", "Step 2: Calculate direct distance", " Start → End: 5467.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12674.1 km", "Step 4: Calculate detour", " Detour = 12674.1 - 5467.4 = 7206.7 km", " Detour % = (7206.7 / 5467.4) × 100 = 131.8%", "Step 5: Determine if on route (typically < 10% detour)", " 131.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 6.44694, "lon": 3.41528, "name": "Obalende" }, "end": { "lat": 36.71364, "lon": 10.2096, "name": "El Mourouj" }, "waypoint": { "lat": 21.19005, "lon": 83.58721, "name": "Barpāli" }, "question": "Is Barpāli approximately on the direct path from Obalende to El Mourouj?", "ground_truth": { "answer": false, "direct_distance_km": 3435.6, "via_waypoint_km": 15909.3, "detour_km": 12473.8, "detour_percent": 363.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Obalende", " End: El Mourouj", " Waypoint: Barpāli", "Step 2: Calculate direct distance", " Start → End: 3435.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15909.3 km", "Step 4: Calculate detour", " Detour = 15909.3 - 3435.6 = 12473.8 km", " Detour % = (12473.8 / 3435.6) × 100 = 363.1%", "Step 5: Determine if on route (typically < 10% detour)", " 363.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 34.89396, "lon": 135.68463, "name": "Oyamazaki" }, "end": { "lat": -23.63083, "lon": -46.59817, "name": "Sacomã" }, "waypoint": { "lat": 40.90347, "lon": 14.23736, "name": "Scampia" }, "question": "Is Scampia approximately on the direct path from Oyamazaki to Sacomã?", "ground_truth": { "answer": true, "direct_distance_km": 18743.4, "via_waypoint_km": 19211.0, "detour_km": 467.6, "detour_percent": 2.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Oyamazaki", " End: Sacomã", " Waypoint: Scampia", "Step 2: Calculate direct distance", " Start → End: 18743.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19211.0 km", "Step 4: Calculate detour", " Detour = 19211.0 - 18743.4 = 467.6 km", " Detour % = (467.6 / 18743.4) × 100 = 2.5%", "Step 5: Determine if on route (typically < 10% detour)", " 2.5% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 19.35985, "lon": -99.35016, "name": "Huixquilucan" }, "end": { "lat": 26.1948, "lon": -98.18362, "name": "Pharr" }, "waypoint": { "lat": 45.79377, "lon": 8.88104, "name": "Malnate" }, "question": "Is Malnate approximately on the direct path from Huixquilucan to Pharr?", "ground_truth": { "answer": false, "direct_distance_km": 769.3, "via_waypoint_km": 18963.5, "detour_km": 18194.1, "detour_percent": 2364.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Huixquilucan", " End: Pharr", " Waypoint: Malnate", "Step 2: Calculate direct distance", " Start → End: 769.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18963.5 km", "Step 4: Calculate detour", " Detour = 18963.5 - 769.3 = 18194.1 km", " Detour % = (18194.1 / 769.3) × 100 = 2364.9%", "Step 5: Determine if on route (typically < 10% detour)", " 2364.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 16.49379, "lon": 75.04667, "name": "Terdāl" }, "end": { "lat": 0.9592, "lon": -79.65397, "name": "Esmeraldas" }, "waypoint": { "lat": -36.96587, "lon": 174.82389, "name": "Mangere East" }, "question": "Is Mangere East approximately on the direct path from Terdāl to Esmeraldas?", "ground_truth": { "answer": false, "direct_distance_km": 16628.4, "via_waypoint_km": 23400.2, "detour_km": 6771.8, "detour_percent": 40.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Terdāl", " End: Esmeraldas", " Waypoint: Mangere East", "Step 2: Calculate direct distance", " Start → End: 16628.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23400.2 km", "Step 4: Calculate detour", " Detour = 23400.2 - 16628.4 = 6771.8 km", " Detour % = (6771.8 / 16628.4) × 100 = 40.7%", "Step 5: Determine if on route (typically < 10% detour)", " 40.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 29.86203, "lon": 106.20288, "name": "Jiuxian" }, "end": { "lat": 37.9634, "lon": 23.76523, "name": "Kaisarianí" }, "waypoint": { "lat": -11.495, "lon": -77.20778, "name": "Huaral" }, "question": "Is Huaral approximately on the direct path from Jiuxian to Kaisarianí?", "ground_truth": { "answer": false, "direct_distance_km": 7411.6, "via_waypoint_km": 29689.6, "detour_km": 22277.9, "detour_percent": 300.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Jiuxian", " End: Kaisarianí", " Waypoint: Huaral", "Step 2: Calculate direct distance", " Start → End: 7411.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 29689.6 km", "Step 4: Calculate detour", " Detour = 29689.6 - 7411.6 = 22277.9 km", " Detour % = (22277.9 / 7411.6) × 100 = 300.6%", "Step 5: Determine if on route (typically < 10% detour)", " 300.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 15.73628, "lon": 75.96976, "name": "Gajendragarh" }, "end": { "lat": 51.62867, "lon": 0.41963, "name": "Billericay" }, "waypoint": { "lat": -5.91556, "lon": -35.26278, "name": "Parnamirim" }, "question": "Is Parnamirim approximately on the direct path from Gajendragarh to Billericay?", "ground_truth": { "answer": false, "direct_distance_km": 7649.5, "via_waypoint_km": 19695.2, "detour_km": 12045.7, "detour_percent": 157.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Gajendragarh", " End: Billericay", " Waypoint: Parnamirim", "Step 2: Calculate direct distance", " Start → End: 7649.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19695.2 km", "Step 4: Calculate detour", " Detour = 19695.2 - 7649.5 = 12045.7 km", " Detour % = (12045.7 / 7649.5) × 100 = 157.5%", "Step 5: Determine if on route (typically < 10% detour)", " 157.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 32.84966, "lon": 35.06973, "name": "Qiryat Yam" }, "end": { "lat": 14.30097, "lon": -90.78816, "name": "Escuintla" }, "waypoint": { "lat": -17.39556, "lon": -50.37694, "name": "Acreúna" }, "question": "Is Acreúna approximately on the direct path from Qiryat Yam to Escuintla?", "ground_truth": { "answer": false, "direct_distance_km": 12237.2, "via_waypoint_km": 16299.8, "detour_km": 4062.6, "detour_percent": 33.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Qiryat Yam", " End: Escuintla", " Waypoint: Acreúna", "Step 2: Calculate direct distance", " Start → End: 12237.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16299.8 km", "Step 4: Calculate detour", " Detour = 16299.8 - 12237.2 = 4062.6 km", " Detour % = (4062.6 / 12237.2) × 100 = 33.2%", "Step 5: Determine if on route (typically < 10% detour)", " 33.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 50.60343, "lon": 36.58091, "name": "Belgorod" }, "end": { "lat": 52.31394, "lon": 9.9682, "name": "Sehnde" }, "waypoint": { "lat": -43.89834, "lon": 171.73011, "name": "Ashburton" }, "question": "Is Ashburton approximately on the direct path from Belgorod to Sehnde?", "ground_truth": { "answer": false, "direct_distance_km": 1843.1, "via_waypoint_km": 34980.3, "detour_km": 33137.2, "detour_percent": 1798.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Belgorod", " End: Sehnde", " Waypoint: Ashburton", "Step 2: Calculate direct distance", " Start → End: 1843.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 34980.3 km", "Step 4: Calculate detour", " Detour = 34980.3 - 1843.1 = 33137.2 km", " Detour % = (33137.2 / 1843.1) × 100 = 1798.0%", "Step 5: Determine if on route (typically < 10% detour)", " 1798.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -5.10361, "lon": 30.39111, "name": "Uvinza" }, "end": { "lat": 30.33241, "lon": -5.8384, "name": "Zagora" }, "waypoint": { "lat": 51.57631, "lon": -0.20033, "name": "Golders Green" }, "question": "Is Golders Green approximately on the direct path from Uvinza to Zagora?", "ground_truth": { "answer": false, "direct_distance_km": 5511.7, "via_waypoint_km": 9347.0, "detour_km": 3835.3, "detour_percent": 69.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Uvinza", " End: Zagora", " Waypoint: Golders Green", "Step 2: Calculate direct distance", " Start → End: 5511.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 9347.0 km", "Step 4: Calculate detour", " Detour = 9347.0 - 5511.7 = 3835.3 km", " Detour % = (3835.3 / 5511.7) × 100 = 69.6%", "Step 5: Determine if on route (typically < 10% detour)", " 69.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 43.78956, "lon": 7.60872, "name": "Ventimiglia" }, "end": { "lat": 40.31991, "lon": 9.32568, "name": "Nuoro" }, "waypoint": { "lat": -17.36667, "lon": 30.2, "name": "Chinhoyi" }, "question": "Is Chinhoyi approximately on the direct path from Ventimiglia to Nuoro?", "ground_truth": { "answer": false, "direct_distance_km": 411.0, "via_waypoint_km": 13947.3, "detour_km": 13536.3, "detour_percent": 3293.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ventimiglia", " End: Nuoro", " Waypoint: Chinhoyi", "Step 2: Calculate direct distance", " Start → End: 411.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13947.3 km", "Step 4: Calculate detour", " Detour = 13947.3 - 411.0 = 13536.3 km", " Detour % = (13536.3 / 411.0) × 100 = 3293.5%", "Step 5: Determine if on route (typically < 10% detour)", " 3293.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -6.87444, "lon": -39.875, "name": "Assaré" }, "end": { "lat": 31.15889, "lon": 35.69278, "name": "‘Izrā" }, "waypoint": { "lat": 8.48222, "lon": 124.64722, "name": "Cagayan de Oro" }, "question": "Is Cagayan de Oro approximately on the direct path from Assaré to ‘Izrā?", "ground_truth": { "answer": false, "direct_distance_km": 9049.5, "via_waypoint_km": 27722.4, "detour_km": 18672.9, "detour_percent": 206.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Assaré", " End: ‘Izrā", " Waypoint: Cagayan de Oro", "Step 2: Calculate direct distance", " Start → End: 9049.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 27722.4 km", "Step 4: Calculate detour", " Detour = 27722.4 - 9049.5 = 18672.9 km", " Detour % = (18672.9 / 9049.5) × 100 = 206.3%", "Step 5: Determine if on route (typically < 10% detour)", " 206.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 30.45498, "lon": 78.07068, "name": "Mussoorie" }, "end": { "lat": 22.49441, "lon": 98.39277, "name": "Tangyan" }, "waypoint": { "lat": 7.15571, "lon": 3.34509, "name": "Abeokuta" }, "question": "Is Abeokuta approximately on the direct path from Mussoorie to Tangyan?", "ground_truth": { "answer": false, "direct_distance_km": 2203.4, "via_waypoint_km": 18361.1, "detour_km": 16157.7, "detour_percent": 733.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Mussoorie", " End: Tangyan", " Waypoint: Abeokuta", "Step 2: Calculate direct distance", " Start → End: 2203.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18361.1 km", "Step 4: Calculate detour", " Detour = 18361.1 - 2203.4 = 16157.7 km", " Detour % = (16157.7 / 2203.4) × 100 = 733.3%", "Step 5: Determine if on route (typically < 10% detour)", " 733.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 36.66774, "lon": 3.59115, "name": "Beni Amrane" }, "end": { "lat": -2.88333, "lon": 108.26667, "name": "Manggar" }, "waypoint": { "lat": -17.88608, "lon": -39.85887, "name": "Posto da Mata" }, "question": "Is Posto da Mata approximately on the direct path from Beni Amrane to Manggar?", "ground_truth": { "answer": false, "direct_distance_km": 11505.7, "via_waypoint_km": 23415.6, "detour_km": 11909.9, "detour_percent": 103.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Beni Amrane", " End: Manggar", " Waypoint: Posto da Mata", "Step 2: Calculate direct distance", " Start → End: 11505.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23415.6 km", "Step 4: Calculate detour", " Detour = 23415.6 - 11505.7 = 11909.9 km", " Detour % = (11909.9 / 11505.7) × 100 = 103.5%", "Step 5: Determine if on route (typically < 10% detour)", " 103.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -23.40472, "lon": -46.75472, "name": "Perus" }, "end": { "lat": 41.76593, "lon": -72.23369, "name": "Mansfield City" }, "waypoint": { "lat": -7.0868, "lon": 110.9158, "name": "Purwodadi" }, "question": "Is Purwodadi approximately on the direct path from Perus to Mansfield City?", "ground_truth": { "answer": false, "direct_distance_km": 7706.7, "via_waypoint_km": 31992.4, "detour_km": 24285.7, "detour_percent": 315.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Perus", " End: Mansfield City", " Waypoint: Purwodadi", "Step 2: Calculate direct distance", " Start → End: 7706.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 31992.4 km", "Step 4: Calculate detour", " Detour = 31992.4 - 7706.7 = 24285.7 km", " Detour % = (24285.7 / 7706.7) × 100 = 315.1%", "Step 5: Determine if on route (typically < 10% detour)", " 315.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 10.87459, "lon": 75.98546, "name": "Thirunavaya" }, "end": { "lat": 37.65466, "lon": -122.40775, "name": "South San Francisco" }, "waypoint": { "lat": 51.75368, "lon": -0.44975, "name": "Hemel Hempstead" }, "question": "Is Hemel Hempstead approximately on the direct path from Thirunavaya to South San Francisco?", "ground_truth": { "answer": false, "direct_distance_km": 14288.6, "via_waypoint_km": 16720.0, "detour_km": 2431.4, "detour_percent": 17.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Thirunavaya", " End: South San Francisco", " Waypoint: Hemel Hempstead", "Step 2: Calculate direct distance", " Start → End: 14288.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16720.0 km", "Step 4: Calculate detour", " Detour = 16720.0 - 14288.6 = 2431.4 km", " Detour % = (2431.4 / 14288.6) × 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": -6.39472, "lon": 106.95917, "name": "Cileungsir" }, "end": { "lat": 40.72816, "lon": -74.07764, "name": "Jersey City" }, "waypoint": { "lat": -24.28917, "lon": -47.17444, "name": "Itariri" }, "question": "Is Itariri approximately on the direct path from Cileungsir to Jersey City?", "ground_truth": { "answer": false, "direct_distance_km": 16196.0, "via_waypoint_km": 23345.0, "detour_km": 7149.0, "detour_percent": 44.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Cileungsir", " End: Jersey City", " Waypoint: Itariri", "Step 2: Calculate direct distance", " Start → End: 16196.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23345.0 km", "Step 4: Calculate detour", " Detour = 23345.0 - 16196.0 = 7149.0 km", " Detour % = (7149.0 / 16196.0) × 100 = 44.1%", "Step 5: Determine if on route (typically < 10% detour)", " 44.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 13.00917, "lon": 42.73944, "name": "Assab" }, "end": { "lat": 41.09822, "lon": 120.74792, "name": "Nanpiao" }, "waypoint": { "lat": -21.01778, "lon": -47.76389, "name": "Jardinópolis" }, "question": "Is Jardinópolis approximately on the direct path from Assab to Nanpiao?", "ground_truth": { "answer": false, "direct_distance_km": 8062.8, "via_waypoint_km": 28107.5, "detour_km": 20044.6, "detour_percent": 248.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Assab", " End: Nanpiao", " Waypoint: Jardinópolis", "Step 2: Calculate direct distance", " Start → End: 8062.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 28107.5 km", "Step 4: Calculate detour", " Detour = 28107.5 - 8062.8 = 20044.6 km", " Detour % = (20044.6 / 8062.8) × 100 = 248.6%", "Step 5: Determine if on route (typically < 10% detour)", " 248.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 18.68211, "lon": 73.73161, "name": "Dehu Road" }, "end": { "lat": 41.417, "lon": -81.60596, "name": "Garfield Heights" }, "waypoint": { "lat": -29.91778, "lon": -51.18361, "name": "Canoas" }, "question": "Is Canoas approximately on the direct path from Dehu Road to Garfield Heights?", "ground_truth": { "answer": false, "direct_distance_km": 12865.5, "via_waypoint_km": 22872.8, "detour_km": 10007.2, "detour_percent": 77.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Dehu Road", " End: Garfield Heights", " Waypoint: Canoas", "Step 2: Calculate direct distance", " Start → End: 12865.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22872.8 km", "Step 4: Calculate detour", " Detour = 22872.8 - 12865.5 = 10007.2 km", " Detour % = (10007.2 / 12865.5) × 100 = 77.8%", "Step 5: Determine if on route (typically < 10% detour)", " 77.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 23.33033, "lon": 75.04032, "name": "Ratlām" }, "end": { "lat": 29.02582, "lon": -80.927, "name": "New Smyrna Beach" }, "waypoint": { "lat": -27.98941, "lon": 153.33633, "name": "Nerang" }, "question": "Is Nerang approximately on the direct path from Ratlām to New Smyrna Beach?", "ground_truth": { "answer": false, "direct_distance_km": 13650.5, "via_waypoint_km": 24903.8, "detour_km": 11253.3, "detour_percent": 82.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ratlām", " End: New Smyrna Beach", " Waypoint: Nerang", "Step 2: Calculate direct distance", " Start → End: 13650.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24903.8 km", "Step 4: Calculate detour", " Detour = 24903.8 - 13650.5 = 11253.3 km", " Detour % = (11253.3 / 13650.5) × 100 = 82.4%", "Step 5: Determine if on route (typically < 10% detour)", " 82.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 12.82828, "lon": 79.30792, "name": "Thimiri" }, "end": { "lat": 41.07262, "lon": 14.33231, "name": "Caserta" }, "waypoint": { "lat": -33.86667, "lon": 150.95, "name": "Fairfield" }, "question": "Is Fairfield approximately on the direct path from Thimiri to Caserta?", "ground_truth": { "answer": false, "direct_distance_km": 6985.1, "via_waypoint_km": 25313.6, "detour_km": 18328.5, "detour_percent": 262.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Thimiri", " End: Caserta", " Waypoint: Fairfield", "Step 2: Calculate direct distance", " Start → End: 6985.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 25313.6 km", "Step 4: Calculate detour", " Detour = 25313.6 - 6985.1 = 18328.5 km", " Detour % = (18328.5 / 6985.1) × 100 = 262.4%", "Step 5: Determine if on route (typically < 10% detour)", " 262.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 9.66167, "lon": 1.38472, "name": "Ouaké" }, "end": { "lat": -37.83382, "lon": 144.93834, "name": "City of Port Phillip" }, "waypoint": { "lat": 13.68928, "lon": 100.39814, "name": "Ban Lak Song" }, "question": "Is Ban Lak Song approximately on the direct path from Ouaké to City of Port Phillip?", "ground_truth": { "answer": false, "direct_distance_km": 15214.1, "via_waypoint_km": 18085.3, "detour_km": 2871.2, "detour_percent": 18.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ouaké", " End: City of Port Phillip", " Waypoint: Ban Lak Song", "Step 2: Calculate direct distance", " Start → End: 15214.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18085.3 km", "Step 4: Calculate detour", " Detour = 18085.3 - 15214.1 = 2871.2 km", " Detour % = (2871.2 / 15214.1) × 100 = 18.9%", "Step 5: Determine if on route (typically < 10% detour)", " 18.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 0.06968, "lon": 42.74497, "name": "Jamaame" }, "end": { "lat": 11.8277, "lon": 39.59164, "name": "Weldiya" }, "waypoint": { "lat": 47.0458, "lon": 21.91833, "name": "Oradea" }, "question": "Is Oradea approximately on the direct path from Jamaame to Weldiya?", "ground_truth": { "answer": false, "direct_distance_km": 1353.0, "via_waypoint_km": 9852.8, "detour_km": 8499.8, "detour_percent": 628.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Jamaame", " End: Weldiya", " Waypoint: Oradea", "Step 2: Calculate direct distance", " Start → End: 1353.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 9852.8 km", "Step 4: Calculate detour", " Detour = 9852.8 - 1353.0 = 8499.8 km", " Detour % = (8499.8 / 1353.0) × 100 = 628.2%", "Step 5: Determine if on route (typically < 10% detour)", " 628.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -20.2215, "lon": 57.53431, "name": "Saint Pierre" }, "end": { "lat": 31.3194, "lon": 109.55474, "name": "Fengling" }, "waypoint": { "lat": -8.87167, "lon": -49.71278, "name": "Santa Maria das Barreiras" }, "question": "Is Santa Maria das Barreiras approximately on the direct path from Saint Pierre to Fengling?", "ground_truth": { "answer": false, "direct_distance_km": 7975.1, "via_waypoint_km": 28155.7, "detour_km": 20180.7, "detour_percent": 253.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Saint Pierre", " End: Fengling", " Waypoint: Santa Maria das Barreiras", "Step 2: Calculate direct distance", " Start → End: 7975.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 28155.7 km", "Step 4: Calculate detour", " Detour = 28155.7 - 7975.1 = 20180.7 km", " Detour % = (20180.7 / 7975.1) × 100 = 253.0%", "Step 5: Determine if on route (typically < 10% detour)", " 253.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 36.44917, "lon": 119.83556, "name": "Xiazhuang" }, "end": { "lat": 7.18286, "lon": 1.99119, "name": "Abomey" }, "waypoint": { "lat": 31.28204, "lon": 34.23869, "name": "Rafaḩ" }, "question": "Is Rafaḩ approximately on the direct path from Xiazhuang to Abomey?", "ground_truth": { "answer": true, "direct_distance_km": 11938.5, "via_waypoint_km": 11939.3, "detour_km": 0.8, "detour_percent": 0.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Xiazhuang", " End: Abomey", " Waypoint: Rafaḩ", "Step 2: Calculate direct distance", " Start → End: 11938.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 11939.3 km", "Step 4: Calculate detour", " Detour = 11939.3 - 11938.5 = 0.8 km", " Detour % = (0.8 / 11938.5) × 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": 29.25, "lon": 88.88333, "name": "Rikaze" }, "end": { "lat": 54.26217, "lon": 18.63625, "name": "Pruszcz Gdański" }, "waypoint": { "lat": 45.45151, "lon": 39.02485, "name": "Medvedovskaya" }, "question": "Is Medvedovskaya approximately on the direct path from Rikaze to Pruszcz Gdański?", "ground_truth": { "answer": true, "direct_distance_km": 6152.5, "via_waypoint_km": 6423.0, "detour_km": 270.5, "detour_percent": 4.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Rikaze", " End: Pruszcz Gdański", " Waypoint: Medvedovskaya", "Step 2: Calculate direct distance", " Start → End: 6152.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 6423.0 km", "Step 4: Calculate detour", " Detour = 6423.0 - 6152.5 = 270.5 km", " Detour % = (270.5 / 6152.5) × 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": 6.34656, "lon": 45.47811, "name": "El Bahay" }, "end": { "lat": -4.3432, "lon": 152.26867, "name": "Kokopo" }, "waypoint": { "lat": -11.23333, "lon": -38.48333, "name": "Nova Soure" }, "question": "Is Nova Soure approximately on the direct path from El Bahay to Kokopo?", "ground_truth": { "answer": false, "direct_distance_km": 11913.0, "via_waypoint_km": 27404.7, "detour_km": 15491.6, "detour_percent": 130.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: El Bahay", " End: Kokopo", " Waypoint: Nova Soure", "Step 2: Calculate direct distance", " Start → End: 11913.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 27404.7 km", "Step 4: Calculate detour", " Detour = 27404.7 - 11913.0 = 15491.6 km", " Detour % = (15491.6 / 11913.0) × 100 = 130.0%", "Step 5: Determine if on route (typically < 10% detour)", " 130.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 50.94823, "lon": 10.70193, "name": "Gotha" }, "end": { "lat": 33.98668, "lon": -118.18535, "name": "Maywood" }, "waypoint": { "lat": -21.71028, "lon": -47.47806, "name": "Santa Rita do Passa Quatro" }, "question": "Is Santa Rita do Passa Quatro approximately on the direct path from Gotha to Maywood?", "ground_truth": { "answer": false, "direct_distance_km": 9330.0, "via_waypoint_km": 19574.8, "detour_km": 10244.8, "detour_percent": 109.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Gotha", " End: Maywood", " Waypoint: Santa Rita do Passa Quatro", "Step 2: Calculate direct distance", " Start → End: 9330.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19574.8 km", "Step 4: Calculate detour", " Detour = 19574.8 - 9330.0 = 10244.8 km", " Detour % = (10244.8 / 9330.0) × 100 = 109.8%", "Step 5: Determine if on route (typically < 10% detour)", " 109.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 28.36725, "lon": 75.60352, "name": "Pilāni" }, "end": { "lat": -2.77583, "lon": -44.06583, "name": "Icatu" }, "waypoint": { "lat": 36.12997, "lon": -115.11889, "name": "Winchester" }, "question": "Is Winchester approximately on the direct path from Pilāni to Icatu?", "ground_truth": { "answer": false, "direct_distance_km": 13038.9, "via_waypoint_km": 21262.8, "detour_km": 8223.9, "detour_percent": 63.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Pilāni", " End: Icatu", " Waypoint: Winchester", "Step 2: Calculate direct distance", " Start → End: 13038.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21262.8 km", "Step 4: Calculate detour", " Detour = 21262.8 - 13038.9 = 8223.9 km", " Detour % = (8223.9 / 13038.9) × 100 = 63.1%", "Step 5: Determine if on route (typically < 10% detour)", " 63.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 22.15234, "lon": -100.97135, "name": "San Luis Potosí" }, "end": { "lat": 18.82017, "lon": 76.10937, "name": "Dhārūr" }, "waypoint": { "lat": 13.93111, "lon": 121.42333, "name": "Candelaria" }, "question": "Is Candelaria approximately on the direct path from San Luis Potosí to Dhārūr?", "ground_truth": { "answer": false, "direct_distance_km": 15448.1, "via_waypoint_km": 18748.0, "detour_km": 3299.9, "detour_percent": 21.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: San Luis Potosí", " End: Dhārūr", " Waypoint: Candelaria", "Step 2: Calculate direct distance", " Start → End: 15448.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18748.0 km", "Step 4: Calculate detour", " Detour = 18748.0 - 15448.1 = 3299.9 km", " Detour % = (3299.9 / 15448.1) × 100 = 21.4%", "Step 5: Determine if on route (typically < 10% detour)", " 21.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 53.48462, "lon": 10.22904, "name": "Bergedorf" }, "end": { "lat": 29.15299, "lon": 79.10814, "name": "Bāzpur" }, "waypoint": { "lat": 26.80172, "lon": 79.50829, "name": "Bidhūna" }, "question": "Is Bidhūna approximately on the direct path from Bergedorf to Bāzpur?", "ground_truth": { "answer": true, "direct_distance_km": 6075.2, "via_waypoint_km": 6559.3, "detour_km": 484.1, "detour_percent": 8.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Bergedorf", " End: Bāzpur", " Waypoint: Bidhūna", "Step 2: Calculate direct distance", " Start → End: 6075.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 6559.3 km", "Step 4: Calculate detour", " Detour = 6559.3 - 6075.2 = 484.1 km", " Detour % = (484.1 / 6075.2) × 100 = 8.0%", "Step 5: Determine if on route (typically < 10% detour)", " 8.0% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 12.67059, "lon": 13.61224, "name": "Monguno" }, "end": { "lat": 13.31667, "lon": 33.76667, "name": "Umm Shawkah" }, "waypoint": { "lat": -7.70623, "lon": 114.00976, "name": "Situbondo" }, "question": "Is Situbondo approximately on the direct path from Monguno to Umm Shawkah?", "ground_truth": { "answer": false, "direct_distance_km": 2184.3, "via_waypoint_km": 20476.5, "detour_km": 18292.2, "detour_percent": 837.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Monguno", " End: Umm Shawkah", " Waypoint: Situbondo", "Step 2: Calculate direct distance", " Start → End: 2184.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20476.5 km", "Step 4: Calculate detour", " Detour = 20476.5 - 2184.3 = 18292.2 km", " Detour % = (18292.2 / 2184.3) × 100 = 837.4%", "Step 5: Determine if on route (typically < 10% detour)", " 837.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 28.0353, "lon": -82.38926, "name": "Temple Terrace" }, "end": { "lat": 37.41088, "lon": -94.70496, "name": "Pittsburg" }, "waypoint": { "lat": -10.75, "lon": -77.76667, "name": "Barranca" }, "question": "Is Barranca approximately on the direct path from Temple Terrace to Pittsburg?", "ground_truth": { "answer": false, "direct_distance_km": 1551.1, "via_waypoint_km": 9980.5, "detour_km": 8429.4, "detour_percent": 543.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Temple Terrace", " End: Pittsburg", " Waypoint: Barranca", "Step 2: Calculate direct distance", " Start → End: 1551.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 9980.5 km", "Step 4: Calculate detour", " Detour = 9980.5 - 1551.1 = 8429.4 km", " Detour % = (8429.4 / 1551.1) × 100 = 543.4%", "Step 5: Determine if on route (typically < 10% detour)", " 543.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 6.79911, "lon": 1.78073, "name": "Dogbo" }, "end": { "lat": 13.9641, "lon": -5.35791, "name": "Ké-Macina" }, "waypoint": { "lat": 7.50251, "lon": 5.06258, "name": "Igbara-Odo" }, "question": "Is Igbara-Odo approximately on the direct path from Dogbo to Ké-Macina?", "ground_truth": { "answer": false, "direct_distance_km": 1115.1, "via_waypoint_km": 1716.0, "detour_km": 600.9, "detour_percent": 53.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Dogbo", " End: Ké-Macina", " Waypoint: Igbara-Odo", "Step 2: Calculate direct distance", " Start → End: 1115.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 1716.0 km", "Step 4: Calculate detour", " Detour = 1716.0 - 1115.1 = 600.9 km", " Detour % = (600.9 / 1115.1) × 100 = 53.9%", "Step 5: Determine if on route (typically < 10% detour)", " 53.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 48.56634, "lon": -123.41932, "name": "Central Saanich" }, "end": { "lat": 40.64548, "lon": -74.01241, "name": "Sunset Park" }, "waypoint": { "lat": 34.68963, "lon": 44.96057, "name": "Kifrī" }, "question": "Is Kifrī approximately on the direct path from Central Saanich to Sunset Park?", "ground_truth": { "answer": false, "direct_distance_km": 3937.0, "via_waypoint_km": 20256.7, "detour_km": 16319.7, "detour_percent": 414.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Central Saanich", " End: Sunset Park", " Waypoint: Kifrī", "Step 2: Calculate direct distance", " Start → End: 3937.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20256.7 km", "Step 4: Calculate detour", " Detour = 20256.7 - 3937.0 = 16319.7 km", " Detour % = (16319.7 / 3937.0) × 100 = 414.5%", "Step 5: Determine if on route (typically < 10% detour)", " 414.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 38.05415, "lon": 58.19721, "name": "Abadan" }, "end": { "lat": 14.90598, "lon": 105.07836, "name": "Det Udom" }, "waypoint": { "lat": 34.42639, "lon": -117.30088, "name": "Hesperia" }, "question": "Is Hesperia approximately on the direct path from Abadan to Det Udom?", "ground_truth": { "answer": false, "direct_distance_km": 5255.1, "via_waypoint_km": 24876.5, "detour_km": 19621.3, "detour_percent": 373.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Abadan", " End: Det Udom", " Waypoint: Hesperia", "Step 2: Calculate direct distance", " Start → End: 5255.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24876.5 km", "Step 4: Calculate detour", " Detour = 24876.5 - 5255.1 = 19621.3 km", " Detour % = (19621.3 / 5255.1) × 100 = 373.4%", "Step 5: Determine if on route (typically < 10% detour)", " 373.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 20.48273, "lon": 77.48857, "name": "Kāranja" }, "end": { "lat": 63.74549, "lon": 34.31614, "name": "Segezha" }, "waypoint": { "lat": 47.43333, "lon": 19.11667, "name": "Pesterzsébet" }, "question": "Is Pesterzsébet approximately on the direct path from Kāranja to Segezha?", "ground_truth": { "answer": false, "direct_distance_km": 5779.1, "via_waypoint_km": 8024.8, "detour_km": 2245.7, "detour_percent": 38.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kāranja", " End: Segezha", " Waypoint: Pesterzsébet", "Step 2: Calculate direct distance", " Start → End: 5779.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 8024.8 km", "Step 4: Calculate detour", " Detour = 8024.8 - 5779.1 = 2245.7 km", " Detour % = (2245.7 / 5779.1) × 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": 36.62554, "lon": 101.75739, "name": "Xining" }, "end": { "lat": 38.53575, "lon": 68.77905, "name": "Dushanbe" }, "waypoint": { "lat": 35.555, "lon": 5.61056, "name": "N’Gaous" }, "question": "Is N’Gaous approximately on the direct path from Xining to Dushanbe?", "ground_truth": { "answer": false, "direct_distance_km": 2898.3, "via_waypoint_km": 13723.1, "detour_km": 10824.8, "detour_percent": 373.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Xining", " End: Dushanbe", " Waypoint: N’Gaous", "Step 2: Calculate direct distance", " Start → End: 2898.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13723.1 km", "Step 4: Calculate detour", " Detour = 13723.1 - 2898.3 = 10824.8 km", " Detour % = (10824.8 / 2898.3) × 100 = 373.5%", "Step 5: Determine if on route (typically < 10% detour)", " 373.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 56.01931, "lon": 39.94848, "name": "Lakinsk" }, "end": { "lat": -25.7287, "lon": 27.87, "name": "Hartbeespoort" }, "waypoint": { "lat": 35.19543, "lon": -79.46948, "name": "Pinehurst" }, "question": "Is Pinehurst approximately on the direct path from Lakinsk to Hartbeespoort?", "ground_truth": { "answer": false, "direct_distance_km": 9161.7, "via_waypoint_km": 21496.0, "detour_km": 12334.4, "detour_percent": 134.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Lakinsk", " End: Hartbeespoort", " Waypoint: Pinehurst", "Step 2: Calculate direct distance", " Start → End: 9161.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21496.0 km", "Step 4: Calculate detour", " Detour = 21496.0 - 9161.7 = 12334.4 km", " Detour % = (12334.4 / 9161.7) × 100 = 134.6%", "Step 5: Determine if on route (typically < 10% detour)", " 134.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -34.92866, "lon": 138.59863, "name": "Adelaide" }, "end": { "lat": -36.8382, "lon": 174.61019, "name": "Massey" }, "waypoint": { "lat": 39.04607, "lon": 28.65889, "name": "Demirci" }, "question": "Is Demirci approximately on the direct path from Adelaide to Massey?", "ground_truth": { "answer": false, "direct_distance_km": 3232.1, "via_waypoint_km": 30969.1, "detour_km": 27737.0, "detour_percent": 858.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Adelaide", " End: Massey", " Waypoint: Demirci", "Step 2: Calculate direct distance", " Start → End: 3232.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 30969.1 km", "Step 4: Calculate detour", " Detour = 30969.1 - 3232.1 = 27737.0 km", " Detour % = (27737.0 / 3232.1) × 100 = 858.2%", "Step 5: Determine if on route (typically < 10% detour)", " 858.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 29.85653, "lon": 106.8448, "name": "Tongjing" }, "end": { "lat": 35.74974, "lon": 139.85405, "name": "Aoto" }, "waypoint": { "lat": 38.02909, "lon": -121.96163, "name": "Bay Point" }, "question": "Is Bay Point approximately on the direct path from Tongjing to Aoto?", "ground_truth": { "answer": false, "direct_distance_km": 3138.4, "via_waypoint_km": 19196.1, "detour_km": 16057.7, "detour_percent": 511.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Tongjing", " End: Aoto", " Waypoint: Bay Point", "Step 2: Calculate direct distance", " Start → End: 3138.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19196.1 km", "Step 4: Calculate detour", " Detour = 19196.1 - 3138.4 = 16057.7 km", " Detour % = (16057.7 / 3138.4) × 100 = 511.6%", "Step 5: Determine if on route (typically < 10% detour)", " 511.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 5.13428, "lon": 100.49549, "name": "Bandar Baharu" }, "end": { "lat": 36.643, "lon": -4.68728, "name": "Alhaurín el Grande" }, "waypoint": { "lat": 6.3, "lon": 36.88333, "name": "Felege Neway" }, "question": "Is Felege Neway approximately on the direct path from Bandar Baharu to Alhaurín el Grande?", "ground_truth": { "answer": false, "direct_distance_km": 11004.8, "via_waypoint_km": 12432.1, "detour_km": 1427.3, "detour_percent": 13.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Bandar Baharu", " End: Alhaurín el Grande", " Waypoint: Felege Neway", "Step 2: Calculate direct distance", " Start → End: 11004.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12432.1 km", "Step 4: Calculate detour", " Detour = 12432.1 - 11004.8 = 1427.3 km", " Detour % = (1427.3 / 11004.8) × 100 = 13.0%", "Step 5: Determine if on route (typically < 10% detour)", " 13.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 55.0522, "lon": 74.5787, "name": "Kalachinsk" }, "end": { "lat": 43.25, "lon": -5.76667, "name": "Mieres" }, "waypoint": { "lat": 17.17735, "lon": 75.9526, "name": "Indi" }, "question": "Is Indi approximately on the direct path from Kalachinsk to Mieres?", "ground_truth": { "answer": false, "direct_distance_km": 5652.2, "via_waypoint_km": 12262.2, "detour_km": 6610.0, "detour_percent": 116.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kalachinsk", " End: Mieres", " Waypoint: Indi", "Step 2: Calculate direct distance", " Start → End: 5652.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12262.2 km", "Step 4: Calculate detour", " Detour = 12262.2 - 5652.2 = 6610.0 km", " Detour % = (6610.0 / 5652.2) × 100 = 116.9%", "Step 5: Determine if on route (typically < 10% detour)", " 116.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -17.35, "lon": 49.03333, "name": "Vohibinany" }, "end": { "lat": -15.11646, "lon": 39.2666, "name": "Nampula" }, "waypoint": { "lat": 36.68482, "lon": 7.75111, "name": "Drean" }, "question": "Is Drean approximately on the direct path from Vohibinany to Nampula?", "ground_truth": { "answer": false, "direct_distance_km": 1071.7, "via_waypoint_km": 14047.0, "detour_km": 12975.3, "detour_percent": 1210.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Vohibinany", " End: Nampula", " Waypoint: Drean", "Step 2: Calculate direct distance", " Start → End: 1071.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14047.0 km", "Step 4: Calculate detour", " Detour = 14047.0 - 1071.7 = 12975.3 km", " Detour % = (12975.3 / 1071.7) × 100 = 1210.7%", "Step 5: Determine if on route (typically < 10% detour)", " 1210.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 48.9193, "lon": 2.54305, "name": "Livry-Gargan" }, "end": { "lat": -20.25667, "lon": 57.40611, "name": "Bambous" }, "waypoint": { "lat": 24.12858, "lon": 89.06573, "name": "Ishwardi" }, "question": "Is Ishwardi approximately on the direct path from Livry-Gargan to Bambous?", "ground_truth": { "answer": false, "direct_distance_km": 9408.9, "via_waypoint_km": 13775.6, "detour_km": 4366.7, "detour_percent": 46.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Livry-Gargan", " End: Bambous", " Waypoint: Ishwardi", "Step 2: Calculate direct distance", " Start → End: 9408.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13775.6 km", "Step 4: Calculate detour", " Detour = 13775.6 - 9408.9 = 4366.7 km", " Detour % = (4366.7 / 9408.9) × 100 = 46.4%", "Step 5: Determine if on route (typically < 10% detour)", " 46.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -3.28472, "lon": -60.18611, "name": "Iranduba" }, "end": { "lat": 26.63333, "lon": 92.8, "name": "Tezpur" }, "waypoint": { "lat": 43.34122, "lon": 3.21402, "name": "Béziers" }, "question": "Is Béziers approximately on the direct path from Iranduba to Tezpur?", "ground_truth": { "answer": true, "direct_distance_km": 16141.0, "via_waypoint_km": 16144.6, "detour_km": 3.7, "detour_percent": 0.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Iranduba", " End: Tezpur", " Waypoint: Béziers", "Step 2: Calculate direct distance", " Start → End: 16141.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16144.6 km", "Step 4: Calculate detour", " Detour = 16144.6 - 16141.0 = 3.7 km", " Detour % = (3.7 / 16141.0) × 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": 4.89972, "lon": -75.8825, "name": "La Virginia" }, "end": { "lat": 48.37773, "lon": 17.58603, "name": "Trnava" }, "waypoint": { "lat": 25.38327, "lon": 97.39637, "name": "Myitkyina" }, "question": "Is Myitkyina approximately on the direct path from La Virginia to Trnava?", "ground_truth": { "answer": false, "direct_distance_km": 9855.8, "via_waypoint_km": 23770.0, "detour_km": 13914.2, "detour_percent": 141.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: La Virginia", " End: Trnava", " Waypoint: Myitkyina", "Step 2: Calculate direct distance", " Start → End: 9855.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23770.0 km", "Step 4: Calculate detour", " Detour = 23770.0 - 9855.8 = 13914.2 km", " Detour % = (13914.2 / 9855.8) × 100 = 141.2%", "Step 5: Determine if on route (typically < 10% detour)", " 141.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -23.60389, "lon": -46.91917, "name": "Cotia" }, "end": { "lat": 25.44708, "lon": 84.86261, "name": "Bikram" }, "waypoint": { "lat": 38.64643, "lon": 106.43043, "name": "Ligang" }, "question": "Is Ligang approximately on the direct path from Cotia to Bikram?", "ground_truth": { "answer": false, "direct_distance_km": 15159.5, "via_waypoint_km": 19491.0, "detour_km": 4331.5, "detour_percent": 28.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Cotia", " End: Bikram", " Waypoint: Ligang", "Step 2: Calculate direct distance", " Start → End: 15159.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19491.0 km", "Step 4: Calculate detour", " Detour = 19491.0 - 15159.5 = 4331.5 km", " Detour % = (4331.5 / 15159.5) × 100 = 28.6%", "Step 5: Determine if on route (typically < 10% detour)", " 28.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 23.61352, "lon": 90.50298, "name": "Nārāyanganj" }, "end": { "lat": -4.78944, "lon": -40.06333, "name": "Monsenhor Tabosa" }, "waypoint": { "lat": 36.74731, "lon": -95.98082, "name": "Bartlesville" }, "question": "Is Bartlesville approximately on the direct path from Nārāyanganj to Monsenhor Tabosa?", "ground_truth": { "answer": false, "direct_distance_km": 14327.1, "via_waypoint_km": 20672.0, "detour_km": 6344.9, "detour_percent": 44.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Nārāyanganj", " End: Monsenhor Tabosa", " Waypoint: Bartlesville", "Step 2: Calculate direct distance", " Start → End: 14327.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20672.0 km", "Step 4: Calculate detour", " Detour = 20672.0 - 14327.1 = 6344.9 km", " Detour % = (6344.9 / 14327.1) × 100 = 44.3%", "Step 5: Determine if on route (typically < 10% detour)", " 44.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 34.04965, "lon": -4.42162, "name": "Tahla" }, "end": { "lat": -8.55861, "lon": 125.57361, "name": "Dili" }, "waypoint": { "lat": 40.76499, "lon": 29.92928, "name": "İzmit" }, "question": "Is İzmit approximately on the direct path from Tahla to Dili?", "ground_truth": { "answer": true, "direct_distance_km": 14186.7, "via_waypoint_km": 14204.6, "detour_km": 17.9, "detour_percent": 0.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Tahla", " End: Dili", " Waypoint: İzmit", "Step 2: Calculate direct distance", " Start → End: 14186.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14204.6 km", "Step 4: Calculate detour", " Detour = 14204.6 - 14186.7 = 17.9 km", " Detour % = (17.9 / 14186.7) × 100 = 0.1%", "Step 5: Determine if on route (typically < 10% detour)", " 0.1% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 18.44773, "lon": -72.28398, "name": "Kenscoff" }, "end": { "lat": 52.77972, "lon": -108.2967, "name": "North Battleford" }, "waypoint": { "lat": 21.78129, "lon": -103.30436, "name": "Tlaltenango de Sánchez Román" }, "question": "Is Tlaltenango de Sánchez Román approximately on the direct path from Kenscoff to North Battleford?", "ground_truth": { "answer": false, "direct_distance_km": 4922.0, "via_waypoint_km": 6727.8, "detour_km": 1805.8, "detour_percent": 36.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kenscoff", " End: North Battleford", " Waypoint: Tlaltenango de Sánchez Román", "Step 2: Calculate direct distance", " Start → End: 4922.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 6727.8 km", "Step 4: Calculate detour", " Detour = 6727.8 - 4922.0 = 1805.8 km", " Detour % = (1805.8 / 4922.0) × 100 = 36.7%", "Step 5: Determine if on route (typically < 10% detour)", " 36.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 53.75, "lon": -2.48333, "name": "Blackburn" }, "end": { "lat": 0.48829, "lon": 42.78535, "name": "Jilib" }, "waypoint": { "lat": 34.35417, "lon": -119.05927, "name": "Santa Paula" }, "question": "Is Santa Paula approximately on the direct path from Blackburn to Jilib?", "ground_truth": { "answer": false, "direct_distance_km": 7224.9, "via_waypoint_km": 24188.8, "detour_km": 16963.9, "detour_percent": 234.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Blackburn", " End: Jilib", " Waypoint: Santa Paula", "Step 2: Calculate direct distance", " Start → End: 7224.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24188.8 km", "Step 4: Calculate detour", " Detour = 24188.8 - 7224.9 = 16963.9 km", " Detour % = (16963.9 / 7224.9) × 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": 47.25554, "lon": 35.70836, "name": "Tokmak" }, "end": { "lat": 39.16465, "lon": 8.5213, "name": "Carbonia" }, "waypoint": { "lat": -23.59957, "lon": -46.61599, "name": "Ipiranga" }, "question": "Is Ipiranga approximately on the direct path from Tokmak to Carbonia?", "ground_truth": { "answer": false, "direct_distance_km": 2364.7, "via_waypoint_km": 20388.7, "detour_km": 18024.0, "detour_percent": 762.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Tokmak", " End: Carbonia", " Waypoint: Ipiranga", "Step 2: Calculate direct distance", " Start → End: 2364.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20388.7 km", "Step 4: Calculate detour", " Detour = 20388.7 - 2364.7 = 18024.0 km", " Detour % = (18024.0 / 2364.7) × 100 = 762.2%", "Step 5: Determine if on route (typically < 10% detour)", " 762.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 6.60656, "lon": 3.30235, "name": "Alimosho" }, "end": { "lat": 51.06931, "lon": -1.79569, "name": "Salisbury" }, "waypoint": { "lat": 37.98869, "lon": -84.47772, "name": "Lexington" }, "question": "Is Lexington approximately on the direct path from Alimosho to Salisbury?", "ground_truth": { "answer": false, "direct_distance_km": 4966.5, "via_waypoint_km": 15721.1, "detour_km": 10754.6, "detour_percent": 216.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Alimosho", " End: Salisbury", " Waypoint: Lexington", "Step 2: Calculate direct distance", " Start → End: 4966.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15721.1 km", "Step 4: Calculate detour", " Detour = 15721.1 - 4966.5 = 10754.6 km", " Detour % = (10754.6 / 4966.5) × 100 = 216.5%", "Step 5: Determine if on route (typically < 10% detour)", " 216.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -9.045, "lon": -35.39833, "name": "Porto Calvo" }, "end": { "lat": 6.17811, "lon": 6.52461, "name": "Ogwashi-Uku" }, "waypoint": { "lat": 16.07686, "lon": 97.56388, "name": "Kyaikkami" }, "question": "Is Kyaikkami approximately on the direct path from Porto Calvo to Ogwashi-Uku?", "ground_truth": { "answer": false, "direct_distance_km": 4944.9, "via_waypoint_km": 24789.3, "detour_km": 19844.3, "detour_percent": 401.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Porto Calvo", " End: Ogwashi-Uku", " Waypoint: Kyaikkami", "Step 2: Calculate direct distance", " Start → End: 4944.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24789.3 km", "Step 4: Calculate detour", " Detour = 24789.3 - 4944.9 = 19844.3 km", " Detour % = (19844.3 / 4944.9) × 100 = 401.3%", "Step 5: Determine if on route (typically < 10% detour)", " 401.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 26.51501, "lon": 77.37212, "name": "Sir Muttra" }, "end": { "lat": 55.68333, "lon": 37.55, "name": "Semënovskoye" }, "waypoint": { "lat": -12.82306, "lon": -42.73056, "name": "Boquira" }, "question": "Is Boquira approximately on the direct path from Sir Muttra to Semënovskoye?", "ground_truth": { "answer": false, "direct_distance_km": 4544.8, "via_waypoint_km": 24201.7, "detour_km": 19656.9, "detour_percent": 432.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Sir Muttra", " End: Semënovskoye", " Waypoint: Boquira", "Step 2: Calculate direct distance", " Start → End: 4544.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24201.7 km", "Step 4: Calculate detour", " Detour = 24201.7 - 4544.8 = 19656.9 km", " Detour % = (19656.9 / 4544.8) × 100 = 432.5%", "Step 5: Determine if on route (typically < 10% detour)", " 432.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 36.8, "lon": 118.5, "name": "Gaoliu" }, "end": { "lat": 6.61667, "lon": -1.21667, "name": "Konongo" }, "waypoint": { "lat": -33.72976, "lon": 151.15977, "name": "Saint Ives" }, "question": "Is Saint Ives approximately on the direct path from Gaoliu to Konongo?", "ground_truth": { "answer": false, "direct_distance_km": 12118.2, "via_waypoint_km": 24414.3, "detour_km": 12296.1, "detour_percent": 101.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Gaoliu", " End: Konongo", " Waypoint: Saint Ives", "Step 2: Calculate direct distance", " Start → End: 12118.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24414.3 km", "Step 4: Calculate detour", " Detour = 24414.3 - 12118.2 = 12296.1 km", " Detour % = (12296.1 / 12118.2) × 100 = 101.5%", "Step 5: Determine if on route (typically < 10% detour)", " 101.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 32.40889, "lon": -116.94361, "name": "Las Delicias" }, "end": { "lat": 35.19869, "lon": 32.99338, "name": "Mórfou" }, "waypoint": { "lat": -0.61667, "lon": 31.55, "name": "Kasaali" }, "question": "Is Kasaali approximately on the direct path from Las Delicias to Mórfou?", "ground_truth": { "answer": false, "direct_distance_km": 11869.7, "via_waypoint_km": 19164.7, "detour_km": 7295.0, "detour_percent": 61.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Las Delicias", " End: Mórfou", " Waypoint: Kasaali", "Step 2: Calculate direct distance", " Start → End: 11869.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19164.7 km", "Step 4: Calculate detour", " Detour = 19164.7 - 11869.7 = 7295.0 km", " Detour % = (7295.0 / 11869.7) × 100 = 61.5%", "Step 5: Determine if on route (typically < 10% detour)", " 61.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 44.63278, "lon": -1.14513, "name": "La Teste-de-Buch" }, "end": { "lat": 50.70825, "lon": -120.41337, "name": "Brocklehurst" }, "waypoint": { "lat": 20.71633, "lon": -77.99816, "name": "Santa Cruz del Sur" }, "question": "Is Santa Cruz del Sur approximately on the direct path from La Teste-de-Buch to Brocklehurst?", "ground_truth": { "answer": false, "direct_distance_km": 7909.4, "via_waypoint_km": 12354.3, "detour_km": 4444.9, "detour_percent": 56.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: La Teste-de-Buch", " End: Brocklehurst", " Waypoint: Santa Cruz del Sur", "Step 2: Calculate direct distance", " Start → End: 7909.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12354.3 km", "Step 4: Calculate detour", " Detour = 12354.3 - 7909.4 = 4444.9 km", " Detour % = (4444.9 / 7909.4) × 100 = 56.2%", "Step 5: Determine if on route (typically < 10% detour)", " 56.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 60.09726, "lon": 19.93481, "name": "Mariehamn" }, "end": { "lat": 41.69914, "lon": 2.71888, "name": "Tordera" }, "waypoint": { "lat": -8.94111, "lon": -72.79167, "name": "Marechal Thaumaturgo" }, "question": "Is Marechal Thaumaturgo approximately on the direct path from Mariehamn to Tordera?", "ground_truth": { "answer": false, "direct_distance_km": 2359.4, "via_waypoint_km": 20509.3, "detour_km": 18150.0, "detour_percent": 769.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Mariehamn", " End: Tordera", " Waypoint: Marechal Thaumaturgo", "Step 2: Calculate direct distance", " Start → End: 2359.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20509.3 km", "Step 4: Calculate detour", " Detour = 20509.3 - 2359.4 = 18150.0 km", " Detour % = (18150.0 / 2359.4) × 100 = 769.3%", "Step 5: Determine if on route (typically < 10% detour)", " 769.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 23.1749, "lon": -102.86785, "name": "Fresnillo" }, "end": { "lat": 47.30707, "lon": 11.06817, "name": "Telfs" }, "waypoint": { "lat": 43.61694, "lon": 21.0025, "name": "Trstenik" }, "question": "Is Trstenik approximately on the direct path from Fresnillo to Telfs?", "ground_truth": { "answer": false, "direct_distance_km": 9775.9, "via_waypoint_km": 11518.0, "detour_km": 1742.0, "detour_percent": 17.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Fresnillo", " End: Telfs", " Waypoint: Trstenik", "Step 2: Calculate direct distance", " Start → End: 9775.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 11518.0 km", "Step 4: Calculate detour", " Detour = 11518.0 - 9775.9 = 1742.0 km", " Detour % = (1742.0 / 9775.9) × 100 = 17.8%", "Step 5: Determine if on route (typically < 10% detour)", " 17.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -14.96778, "lon": 40.66389, "name": "Mossuril" }, "end": { "lat": 34.90373, "lon": -82.33317, "name": "Wade Hampton" }, "waypoint": { "lat": 38.53333, "lon": 141.06667, "name": "Kogota-ekimae" }, "question": "Is Kogota-ekimae approximately on the direct path from Mossuril to Wade Hampton?", "ground_truth": { "answer": false, "direct_distance_km": 13943.7, "via_waypoint_km": 22638.7, "detour_km": 8695.0, "detour_percent": 62.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Mossuril", " End: Wade Hampton", " Waypoint: Kogota-ekimae", "Step 2: Calculate direct distance", " Start → End: 13943.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22638.7 km", "Step 4: Calculate detour", " Detour = 22638.7 - 13943.7 = 8695.0 km", " Detour % = (8695.0 / 13943.7) × 100 = 62.4%", "Step 5: Determine if on route (typically < 10% detour)", " 62.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 35.37995, "lon": 136.94295, "name": "Inuyama" }, "end": { "lat": 21.38602, "lon": 103.02301, "name": "Dien Bien Phu" }, "waypoint": { "lat": 10.9465, "lon": 123.288, "name": "Cadiz" }, "question": "Is Cadiz approximately on the direct path from Inuyama to Dien Bien Phu?", "ground_truth": { "answer": false, "direct_distance_km": 3640.7, "via_waypoint_km": 5498.5, "detour_km": 1857.9, "detour_percent": 51.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Inuyama", " End: Dien Bien Phu", " Waypoint: Cadiz", "Step 2: Calculate direct distance", " Start → End: 3640.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 5498.5 km", "Step 4: Calculate detour", " Detour = 5498.5 - 3640.7 = 1857.9 km", " Detour % = (1857.9 / 3640.7) × 100 = 51.0%", "Step 5: Determine if on route (typically < 10% detour)", " 51.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -21.54722, "lon": -45.7375, "name": "Paraguaçu" }, "end": { "lat": 41.40408, "lon": 2.17332, "name": "Sagrada Família" }, "waypoint": { "lat": 10.64667, "lon": 76.06695, "name": "Kunnamkulam" }, "question": "Is Kunnamkulam approximately on the direct path from Paraguaçu to Sagrada Família?", "ground_truth": { "answer": false, "direct_distance_km": 8563.5, "via_waypoint_km": 21602.1, "detour_km": 13038.6, "detour_percent": 152.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Paraguaçu", " End: Sagrada Família", " Waypoint: Kunnamkulam", "Step 2: Calculate direct distance", " Start → End: 8563.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21602.1 km", "Step 4: Calculate detour", " Detour = 21602.1 - 8563.5 = 13038.6 km", " Detour % = (13038.6 / 8563.5) × 100 = 152.3%", "Step 5: Determine if on route (typically < 10% detour)", " 152.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 6.19041, "lon": -67.48391, "name": "Puerto Carreño" }, "end": { "lat": 25.8576, "lon": -80.27811, "name": "Hialeah" }, "waypoint": { "lat": 48.63328, "lon": 38.37804, "name": "Popasna" }, "question": "Is Popasna approximately on the direct path from Puerto Carreño to Hialeah?", "ground_truth": { "answer": false, "direct_distance_km": 2574.6, "via_waypoint_km": 20376.2, "detour_km": 17801.5, "detour_percent": 691.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Puerto Carreño", " End: Hialeah", " Waypoint: Popasna", "Step 2: Calculate direct distance", " Start → End: 2574.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20376.2 km", "Step 4: Calculate detour", " Detour = 20376.2 - 2574.6 = 17801.5 km", " Detour % = (17801.5 / 2574.6) × 100 = 691.4%", "Step 5: Determine if on route (typically < 10% detour)", " 691.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 44.56139, "lon": 25.94889, "name": "Buftea" }, "end": { "lat": -38.5545, "lon": -58.73961, "name": "Necochea" }, "waypoint": { "lat": 39.37221, "lon": -104.85609, "name": "Castle Rock" }, "question": "Is Castle Rock approximately on the direct path from Buftea to Necochea?", "ground_truth": { "answer": false, "direct_distance_km": 12530.6, "via_waypoint_km": 19320.8, "detour_km": 6790.3, "detour_percent": 54.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Buftea", " End: Necochea", " Waypoint: Castle Rock", "Step 2: Calculate direct distance", " Start → End: 12530.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19320.8 km", "Step 4: Calculate detour", " Detour = 19320.8 - 12530.6 = 6790.3 km", " Detour % = (6790.3 / 12530.6) × 100 = 54.2%", "Step 5: Determine if on route (typically < 10% detour)", " 54.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 36.0584, "lon": -90.49733, "name": "Paragould" }, "end": { "lat": 41.89184, "lon": 48.41247, "name": "Belidzhi" }, "waypoint": { "lat": 44.27163, "lon": 135.05145, "name": "Kavalerovo" }, "question": "Is Kavalerovo approximately on the direct path from Paragould to Belidzhi?", "ground_truth": { "answer": false, "direct_distance_km": 10393.4, "via_waypoint_km": 16663.5, "detour_km": 6270.1, "detour_percent": 60.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Paragould", " End: Belidzhi", " Waypoint: Kavalerovo", "Step 2: Calculate direct distance", " Start → End: 10393.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16663.5 km", "Step 4: Calculate detour", " Detour = 16663.5 - 10393.4 = 6270.1 km", " Detour % = (6270.1 / 10393.4) × 100 = 60.3%", "Step 5: Determine if on route (typically < 10% detour)", " 60.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -37.68333, "lon": 145.01667, "name": "Thomastown" }, "end": { "lat": 5.88148, "lon": -71.89167, "name": "Paz de Ariporo" }, "waypoint": { "lat": 14.84677, "lon": 78.38314, "name": "Jammalamadugu" }, "question": "Is Jammalamadugu approximately on the direct path from Thomastown to Paz de Ariporo?", "ground_truth": { "answer": false, "direct_distance_km": 14877.6, "via_waypoint_km": 25078.3, "detour_km": 10200.7, "detour_percent": 68.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Thomastown", " End: Paz de Ariporo", " Waypoint: Jammalamadugu", "Step 2: Calculate direct distance", " Start → End: 14877.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 25078.3 km", "Step 4: Calculate detour", " Detour = 25078.3 - 14877.6 = 10200.7 km", " Detour % = (10200.7 / 14877.6) × 100 = 68.6%", "Step 5: Determine if on route (typically < 10% detour)", " 68.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 53.23157, "lon": 7.461, "name": "Leer" }, "end": { "lat": 30.32443, "lon": 78.03392, "name": "Dehra Dūn" }, "waypoint": { "lat": 31.6008, "lon": -7.98653, "name": "Méchouar-Kasba" }, "question": "Is Méchouar-Kasba approximately on the direct path from Leer to Dehra Dūn?", "ground_truth": { "answer": false, "direct_distance_km": 6094.5, "via_waypoint_km": 10667.8, "detour_km": 4573.3, "detour_percent": 75.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Leer", " End: Dehra Dūn", " Waypoint: Méchouar-Kasba", "Step 2: Calculate direct distance", " Start → End: 6094.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 10667.8 km", "Step 4: Calculate detour", " Detour = 10667.8 - 6094.5 = 4573.3 km", " Detour % = (4573.3 / 6094.5) × 100 = 75.0%", "Step 5: Determine if on route (typically < 10% detour)", " 75.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 63.78977, "lon": 74.52301, "name": "Muravlenko" }, "end": { "lat": 7.87139, "lon": 9.77786, "name": "Wukari" }, "waypoint": { "lat": -4.20493, "lon": 13.28608, "name": "Kayes" }, "question": "Is Kayes approximately on the direct path from Muravlenko to Wukari?", "ground_truth": { "answer": false, "direct_distance_km": 8002.6, "via_waypoint_km": 10471.0, "detour_km": 2468.4, "detour_percent": 30.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Muravlenko", " End: Wukari", " Waypoint: Kayes", "Step 2: Calculate direct distance", " Start → End: 8002.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 10471.0 km", "Step 4: Calculate detour", " Detour = 10471.0 - 8002.6 = 2468.4 km", " Detour % = (2468.4 / 8002.6) × 100 = 30.8%", "Step 5: Determine if on route (typically < 10% detour)", " 30.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 40.42118, "lon": -79.7881, "name": "Monroeville" }, "end": { "lat": 36.44667, "lon": 118.85972, "name": "Tangwu" }, "waypoint": { "lat": 40.51472, "lon": 21.67861, "name": "Ptolemaḯda" }, "question": "Is Ptolemaḯda approximately on the direct path from Monroeville to Tangwu?", "ground_truth": { "answer": false, "direct_distance_km": 11258.2, "via_waypoint_km": 16028.0, "detour_km": 4769.7, "detour_percent": 42.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Monroeville", " End: Tangwu", " Waypoint: Ptolemaḯda", "Step 2: Calculate direct distance", " Start → End: 11258.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16028.0 km", "Step 4: Calculate detour", " Detour = 16028.0 - 11258.2 = 4769.7 km", " Detour % = (4769.7 / 11258.2) × 100 = 42.4%", "Step 5: Determine if on route (typically < 10% detour)", " 42.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 20.29479, "lon": -102.7094, "name": "Jamay" }, "end": { "lat": 36.02506, "lon": -86.77917, "name": "Brentwood Estates" }, "waypoint": { "lat": 6.71667, "lon": 37.56667, "name": "Gasuba" }, "question": "Is Gasuba approximately on the direct path from Jamay to Brentwood Estates?", "ground_truth": { "answer": false, "direct_distance_km": 2338.0, "via_waypoint_km": 27256.8, "detour_km": 24918.8, "detour_percent": 1065.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Jamay", " End: Brentwood Estates", " Waypoint: Gasuba", "Step 2: Calculate direct distance", " Start → End: 2338.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 27256.8 km", "Step 4: Calculate detour", " Detour = 27256.8 - 2338.0 = 24918.8 km", " Detour % = (24918.8 / 2338.0) × 100 = 1065.8%", "Step 5: Determine if on route (typically < 10% detour)", " 1065.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 48.40351, "lon": 11.74876, "name": "Freising" }, "end": { "lat": 47.06924, "lon": 15.45784, "name": "Sankt Leonhard" }, "waypoint": { "lat": 40.74399, "lon": -74.03236, "name": "Hoboken" }, "question": "Is Hoboken approximately on the direct path from Freising to Sankt Leonhard?", "ground_truth": { "answer": false, "direct_distance_km": 314.5, "via_waypoint_km": 13285.4, "detour_km": 12970.8, "detour_percent": 4124.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Freising", " End: Sankt Leonhard", " Waypoint: Hoboken", "Step 2: Calculate direct distance", " Start → End: 314.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13285.4 km", "Step 4: Calculate detour", " Detour = 13285.4 - 314.5 = 12970.8 km", " Detour % = (12970.8 / 314.5) × 100 = 4124.1%", "Step 5: Determine if on route (typically < 10% detour)", " 4124.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -8.09056, "lon": -39.57833, "name": "Parnamirim" }, "end": { "lat": -10.00053, "lon": -42.47975, "name": "Pilão Arcado" }, "waypoint": { "lat": 33.1911, "lon": -111.528, "name": "San Tan Valley" }, "question": "Is San Tan Valley approximately on the direct path from Parnamirim to Pilão Arcado?", "ground_truth": { "answer": false, "direct_distance_km": 382.9, "via_waypoint_km": 17583.7, "detour_km": 17200.8, "detour_percent": 4492.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Parnamirim", " End: Pilão Arcado", " Waypoint: San Tan Valley", "Step 2: Calculate direct distance", " Start → End: 382.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17583.7 km", "Step 4: Calculate detour", " Detour = 17583.7 - 382.9 = 17200.8 km", " Detour % = (17200.8 / 382.9) × 100 = 4492.3%", "Step 5: Determine if on route (typically < 10% detour)", " 4492.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -9.44112, "lon": 159.97002, "name": "Kola'a" }, "end": { "lat": 47.86278, "lon": -122.29497, "name": "Picnic Point-North Lynnwood" }, "waypoint": { "lat": 26.92814, "lon": -101.45212, "name": "Frontera" }, "question": "Is Frontera approximately on the direct path from Kola'a to Picnic Point-North Lynnwood?", "ground_truth": { "answer": false, "direct_distance_km": 9886.8, "via_waypoint_km": 14273.9, "detour_km": 4387.1, "detour_percent": 44.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kola'a", " End: Picnic Point-North Lynnwood", " Waypoint: Frontera", "Step 2: Calculate direct distance", " Start → End: 9886.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14273.9 km", "Step 4: Calculate detour", " Detour = 14273.9 - 9886.8 = 4387.1 km", " Detour % = (4387.1 / 9886.8) × 100 = 44.4%", "Step 5: Determine if on route (typically < 10% detour)", " 44.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 21.14631, "lon": 79.08491, "name": "Nagpur" }, "end": { "lat": 23.41022, "lon": 78.22082, "name": "Gairtganj" }, "waypoint": { "lat": -27.44187, "lon": 152.93861, "name": "The Gap" }, "question": "Is The Gap approximately on the direct path from Nagpur to Gairtganj?", "ground_truth": { "answer": false, "direct_distance_km": 267.0, "via_waypoint_km": 19406.4, "detour_km": 19139.4, "detour_percent": 7169.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Nagpur", " End: Gairtganj", " Waypoint: The Gap", "Step 2: Calculate direct distance", " Start → End: 267.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19406.4 km", "Step 4: Calculate detour", " Detour = 19406.4 - 267.0 = 19139.4 km", " Detour % = (19139.4 / 267.0) × 100 = 7169.1%", "Step 5: Determine if on route (typically < 10% detour)", " 7169.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -37.8, "lon": 144.96667, "name": "Carlton" }, "end": { "lat": 38.85861, "lon": -104.69886, "name": "Cimarron Hills" }, "waypoint": { "lat": 52.29271, "lon": 21.10539, "name": "Ząbki" }, "question": "Is Ząbki approximately on the direct path from Carlton to Cimarron Hills?", "ground_truth": { "answer": false, "direct_distance_km": 14094.2, "via_waypoint_km": 24060.0, "detour_km": 9965.9, "detour_percent": 70.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Carlton", " End: Cimarron Hills", " Waypoint: Ząbki", "Step 2: Calculate direct distance", " Start → End: 14094.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24060.0 km", "Step 4: Calculate detour", " Detour = 24060.0 - 14094.2 = 9965.9 km", " Detour % = (9965.9 / 14094.2) × 100 = 70.7%", "Step 5: Determine if on route (typically < 10% detour)", " 70.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 34.97278, "lon": 105.63028, "name": "Anfu" }, "end": { "lat": 36.68304, "lon": 69.11279, "name": "Khanabad" }, "waypoint": { "lat": -19.26917, "lon": 34.21278, "name": "Nhamatanda" }, "question": "Is Nhamatanda approximately on the direct path from Anfu to Khanabad?", "ground_truth": { "answer": false, "direct_distance_km": 3277.8, "via_waypoint_km": 16861.8, "detour_km": 13584.0, "detour_percent": 414.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Anfu", " End: Khanabad", " Waypoint: Nhamatanda", "Step 2: Calculate direct distance", " Start → End: 3277.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16861.8 km", "Step 4: Calculate detour", " Detour = 16861.8 - 3277.8 = 13584.0 km", " Detour % = (13584.0 / 3277.8) × 100 = 414.4%", "Step 5: Determine if on route (typically < 10% detour)", " 414.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 3.879, "lon": 98.633, "name": "Labuhan Deli" }, "end": { "lat": 49.01513, "lon": 12.10161, "name": "Regensburg" }, "waypoint": { "lat": 5.35581, "lon": -3.88537, "name": "Bingerville" }, "question": "Is Bingerville approximately on the direct path from Labuhan Deli to Regensburg?", "ground_truth": { "answer": false, "direct_distance_km": 9429.2, "via_waypoint_km": 16432.5, "detour_km": 7003.3, "detour_percent": 74.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Labuhan Deli", " End: Regensburg", " Waypoint: Bingerville", "Step 2: Calculate direct distance", " Start → End: 9429.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16432.5 km", "Step 4: Calculate detour", " Detour = 16432.5 - 9429.2 = 7003.3 km", " Detour % = (7003.3 / 9429.2) × 100 = 74.3%", "Step 5: Determine if on route (typically < 10% detour)", " 74.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 47.72674, "lon": 10.31389, "name": "Kempten (Allgäu)" }, "end": { "lat": -4.83389, "lon": -37.78111, "name": "Jaguaruana" }, "waypoint": { "lat": 23.92126, "lon": -106.8925, "name": "La Cruz" }, "question": "Is La Cruz approximately on the direct path from Kempten (Allgäu) to Jaguaruana?", "ground_truth": { "answer": false, "direct_distance_km": 7487.5, "via_waypoint_km": 18016.1, "detour_km": 10528.7, "detour_percent": 140.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kempten (Allgäu)", " End: Jaguaruana", " Waypoint: La Cruz", "Step 2: Calculate direct distance", " Start → End: 7487.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18016.1 km", "Step 4: Calculate detour", " Detour = 18016.1 - 7487.5 = 10528.7 km", " Detour % = (10528.7 / 7487.5) × 100 = 140.6%", "Step 5: Determine if on route (typically < 10% detour)", " 140.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -21.03795, "lon": 55.71546, "name": "Saint-Benoît" }, "end": { "lat": -37.78821, "lon": 175.2902, "name": "Hamilton East" }, "waypoint": { "lat": 38.50839, "lon": -90.32289, "name": "Mehlville" }, "question": "Is Mehlville approximately on the direct path from Saint-Benoît to Hamilton East?", "ground_truth": { "answer": false, "direct_distance_km": 10928.7, "via_waypoint_km": 29068.3, "detour_km": 18139.6, "detour_percent": 166.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Saint-Benoît", " End: Hamilton East", " Waypoint: Mehlville", "Step 2: Calculate direct distance", " Start → End: 10928.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 29068.3 km", "Step 4: Calculate detour", " Detour = 29068.3 - 10928.7 = 18139.6 km", " Detour % = (18139.6 / 10928.7) × 100 = 166.0%", "Step 5: Determine if on route (typically < 10% detour)", " 166.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -9.91333, "lon": -63.04083, "name": "Ariquemes" }, "end": { "lat": -6.78889, "lon": -39.29583, "name": "Várzea Alegre" }, "waypoint": { "lat": 7.06205, "lon": 38.47635, "name": "Awasa" }, "question": "Is Awasa approximately on the direct path from Ariquemes to Várzea Alegre?", "ground_truth": { "answer": false, "direct_distance_km": 2634.6, "via_waypoint_km": 20159.4, "detour_km": 17524.8, "detour_percent": 665.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ariquemes", " End: Várzea Alegre", " Waypoint: Awasa", "Step 2: Calculate direct distance", " Start → End: 2634.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20159.4 km", "Step 4: Calculate detour", " Detour = 20159.4 - 2634.6 = 17524.8 km", " Detour % = (17524.8 / 2634.6) × 100 = 665.2%", "Step 5: Determine if on route (typically < 10% detour)", " 665.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 41.46402, "lon": -81.70979, "name": "Clark-Fulton" }, "end": { "lat": 13.05339, "lon": 80.05998, "name": "Tirumeshi" }, "waypoint": { "lat": -15.86527, "lon": -47.81477, "name": "Jardim Botânico" }, "question": "Is Jardim Botânico approximately on the direct path from Clark-Fulton to Tirumeshi?", "ground_truth": { "answer": false, "direct_distance_km": 13670.7, "via_waypoint_km": 21672.6, "detour_km": 8001.8, "detour_percent": 58.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Clark-Fulton", " End: Tirumeshi", " Waypoint: Jardim Botânico", "Step 2: Calculate direct distance", " Start → End: 13670.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21672.6 km", "Step 4: Calculate detour", " Detour = 21672.6 - 13670.7 = 8001.8 km", " Detour % = (8001.8 / 13670.7) × 100 = 58.5%", "Step 5: Determine if on route (typically < 10% detour)", " 58.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 19.7967, "lon": -99.09946, "name": "Zumpango" }, "end": { "lat": 38.44098, "lon": -105.24245, "name": "Cañon City" }, "waypoint": { "lat": 11.17989, "lon": 75.84141, "name": "Ferokh" }, "question": "Is Ferokh approximately on the direct path from Zumpango to Cañon City?", "ground_truth": { "answer": false, "direct_distance_km": 2155.9, "via_waypoint_km": 31022.7, "detour_km": 28866.8, "detour_percent": 1339.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Zumpango", " End: Cañon City", " Waypoint: Ferokh", "Step 2: Calculate direct distance", " Start → End: 2155.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 31022.7 km", "Step 4: Calculate detour", " Detour = 31022.7 - 2155.9 = 28866.8 km", " Detour % = (28866.8 / 2155.9) × 100 = 1339.0%", "Step 5: Determine if on route (typically < 10% detour)", " 1339.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 14.48646, "lon": 121.22752, "name": "Cardona" }, "end": { "lat": 17.55228, "lon": -99.50124, "name": "Chilpancingo" }, "waypoint": { "lat": -33.85, "lon": 151.03333, "name": "Auburn" }, "question": "Is Auburn approximately on the direct path from Cardona to Chilpancingo?", "ground_truth": { "answer": false, "direct_distance_km": 14301.6, "via_waypoint_km": 19085.6, "detour_km": 4784.0, "detour_percent": 33.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Cardona", " End: Chilpancingo", " Waypoint: Auburn", "Step 2: Calculate direct distance", " Start → End: 14301.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19085.6 km", "Step 4: Calculate detour", " Detour = 19085.6 - 14301.6 = 4784.0 km", " Detour % = (4784.0 / 14301.6) × 100 = 33.5%", "Step 5: Determine if on route (typically < 10% detour)", " 33.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 25.57067, "lon": 91.89771, "name": "Laitumkhrah" }, "end": { "lat": 24.50772, "lon": 44.39237, "name": "Ad Dawādimī" }, "waypoint": { "lat": -14.78556, "lon": -39.28028, "name": "Itabuna" }, "question": "Is Itabuna approximately on the direct path from Laitumkhrah to Ad Dawādimī?", "ground_truth": { "answer": false, "direct_distance_km": 4761.3, "via_waypoint_km": 24874.1, "detour_km": 20112.8, "detour_percent": 422.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Laitumkhrah", " End: Ad Dawādimī", " Waypoint: Itabuna", "Step 2: Calculate direct distance", " Start → End: 4761.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24874.1 km", "Step 4: Calculate detour", " Detour = 24874.1 - 4761.3 = 20112.8 km", " Detour % = (20112.8 / 4761.3) × 100 = 422.4%", "Step 5: Determine if on route (typically < 10% detour)", " 422.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 4.71638, "lon": -74.21195, "name": "Funza" }, "end": { "lat": 6.49263, "lon": 17.45518, "name": "Bossangoa" }, "waypoint": { "lat": 20.78919, "lon": 97.03776, "name": "Taunggyi" }, "question": "Is Taunggyi approximately on the direct path from Funza to Bossangoa?", "ground_truth": { "answer": false, "direct_distance_km": 10131.9, "via_waypoint_km": 25694.6, "detour_km": 15562.7, "detour_percent": 153.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Funza", " End: Bossangoa", " Waypoint: Taunggyi", "Step 2: Calculate direct distance", " Start → End: 10131.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 25694.6 km", "Step 4: Calculate detour", " Detour = 25694.6 - 10131.9 = 15562.7 km", " Detour % = (15562.7 / 10131.9) × 100 = 153.6%", "Step 5: Determine if on route (typically < 10% detour)", " 153.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -36.86472, "lon": 174.64768, "name": "Te Atatu South" }, "end": { "lat": -13.28163, "lon": -176.17453, "name": "Mata-Utu" }, "waypoint": { "lat": -33.59217, "lon": -70.6996, "name": "San Bernardo" }, "question": "Is San Bernardo approximately on the direct path from Te Atatu South to Mata-Utu?", "ground_truth": { "answer": false, "direct_distance_km": 2776.8, "via_waypoint_km": 20240.3, "detour_km": 17463.5, "detour_percent": 628.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Te Atatu South", " End: Mata-Utu", " Waypoint: San Bernardo", "Step 2: Calculate direct distance", " Start → End: 2776.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20240.3 km", "Step 4: Calculate detour", " Detour = 20240.3 - 2776.8 = 17463.5 km", " Detour % = (17463.5 / 2776.8) × 100 = 628.9%", "Step 5: Determine if on route (typically < 10% detour)", " 628.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 41.88142, "lon": -87.88312, "name": "Bellwood" }, "end": { "lat": -5.05, "lon": 38.61667, "name": "Maramba" }, "waypoint": { "lat": 5.68476, "lon": -0.04011, "name": "Lashibi" }, "question": "Is Lashibi approximately on the direct path from Bellwood to Maramba?", "ground_truth": { "answer": true, "direct_distance_km": 13342.7, "via_waypoint_km": 13862.6, "detour_km": 519.9, "detour_percent": 3.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Bellwood", " End: Maramba", " Waypoint: Lashibi", "Step 2: Calculate direct distance", " Start → End: 13342.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13862.6 km", "Step 4: Calculate detour", " Detour = 13862.6 - 13342.7 = 519.9 km", " Detour % = (519.9 / 13342.7) × 100 = 3.9%", "Step 5: Determine if on route (typically < 10% detour)", " 3.9% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -29.47795, "lon": 30.23057, "name": "Howick" }, "end": { "lat": -17.35, "lon": 49.03333, "name": "Vohibinany" }, "waypoint": { "lat": -27.44187, "lon": 152.93861, "name": "The Gap" }, "question": "Is The Gap approximately on the direct path from Howick to Vohibinany?", "ground_truth": { "answer": false, "direct_distance_km": 2339.4, "via_waypoint_km": 21659.2, "detour_km": 19319.8, "detour_percent": 825.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Howick", " End: Vohibinany", " Waypoint: The Gap", "Step 2: Calculate direct distance", " Start → End: 2339.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21659.2 km", "Step 4: Calculate detour", " Detour = 21659.2 - 2339.4 = 19319.8 km", " Detour % = (19319.8 / 2339.4) × 100 = 825.8%", "Step 5: Determine if on route (typically < 10% detour)", " 825.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 6.01962, "lon": 6.91729, "name": "Nnewi" }, "end": { "lat": -41.13827, "lon": 175.0502, "name": "Upper Hutt" }, "waypoint": { "lat": 53.64773, "lon": 10.04149, "name": "Hummelsbüttel" }, "question": "Is Hummelsbüttel approximately on the direct path from Nnewi to Upper Hutt?", "ground_truth": { "answer": false, "direct_distance_km": 15936.1, "via_waypoint_km": 23535.0, "detour_km": 7598.9, "detour_percent": 47.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Nnewi", " End: Upper Hutt", " Waypoint: Hummelsbüttel", "Step 2: Calculate direct distance", " Start → End: 15936.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23535.0 km", "Step 4: Calculate detour", " Detour = 23535.0 - 15936.1 = 7598.9 km", " Detour % = (7598.9 / 15936.1) × 100 = 47.7%", "Step 5: Determine if on route (typically < 10% detour)", " 47.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 19.18652, "lon": -99.07361, "name": "San Pablo Oztotepec" }, "end": { "lat": 48.93964, "lon": 9.25995, "name": "Marbach am Neckar" }, "waypoint": { "lat": 27.83333, "lon": 114.4, "name": "Yichun" }, "question": "Is Yichun approximately on the direct path from San Pablo Oztotepec to Marbach am Neckar?", "ground_truth": { "answer": false, "direct_distance_km": 9671.8, "via_waypoint_km": 22388.7, "detour_km": 12716.8, "detour_percent": 131.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: San Pablo Oztotepec", " End: Marbach am Neckar", " Waypoint: Yichun", "Step 2: Calculate direct distance", " Start → End: 9671.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22388.7 km", "Step 4: Calculate detour", " Detour = 22388.7 - 9671.8 = 12716.8 km", " Detour % = (12716.8 / 9671.8) × 100 = 131.5%", "Step 5: Determine if on route (typically < 10% detour)", " 131.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 22.90332, "lon": -83.15994, "name": "Bahía Honda" }, "end": { "lat": 41.56232, "lon": -72.65065, "name": "Middletown" }, "waypoint": { "lat": -38.03333, "lon": 145.3, "name": "Narre Warren" }, "question": "Is Narre Warren approximately on the direct path from Bahía Honda to Middletown?", "ground_truth": { "answer": false, "direct_distance_km": 2293.9, "via_waypoint_km": 31912.6, "detour_km": 29618.7, "detour_percent": 1291.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Bahía Honda", " End: Middletown", " Waypoint: Narre Warren", "Step 2: Calculate direct distance", " Start → End: 2293.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 31912.6 km", "Step 4: Calculate detour", " Detour = 31912.6 - 2293.9 = 29618.7 km", " Detour % = (29618.7 / 2293.9) × 100 = 1291.2%", "Step 5: Determine if on route (typically < 10% detour)", " 1291.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -16.49611, "lon": -49.42639, "name": "Goianira" }, "end": { "lat": 47.05293, "lon": 15.39923, "name": "Wetzelsdorf" }, "waypoint": { "lat": 50.05, "lon": 14.56667, "name": "Horní Měcholupy" }, "question": "Is Horní Měcholupy approximately on the direct path from Goianira to Wetzelsdorf?", "ground_truth": { "answer": true, "direct_distance_km": 9560.9, "via_waypoint_km": 10013.1, "detour_km": 452.2, "detour_percent": 4.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Goianira", " End: Wetzelsdorf", " Waypoint: Horní Měcholupy", "Step 2: Calculate direct distance", " Start → End: 9560.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 10013.1 km", "Step 4: Calculate detour", " Detour = 10013.1 - 9560.9 = 452.2 km", " Detour % = (452.2 / 9560.9) × 100 = 4.7%", "Step 5: Determine if on route (typically < 10% detour)", " 4.7% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 8.35525, "lon": 77.3283, "name": "Ponmana" }, "end": { "lat": 48.92523, "lon": 40.39982, "name": "Millerovo" }, "waypoint": { "lat": 55.65691, "lon": 12.36381, "name": "Albertslund" }, "question": "Is Albertslund approximately on the direct path from Ponmana to Millerovo?", "ground_truth": { "answer": false, "direct_distance_km": 5671.9, "via_waypoint_km": 9718.5, "detour_km": 4046.6, "detour_percent": 71.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ponmana", " End: Millerovo", " Waypoint: Albertslund", "Step 2: Calculate direct distance", " Start → End: 5671.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 9718.5 km", "Step 4: Calculate detour", " Detour = 9718.5 - 5671.9 = 4046.6 km", " Detour % = (4046.6 / 5671.9) × 100 = 71.3%", "Step 5: Determine if on route (typically < 10% detour)", " 71.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 28.55472, "lon": 77.1573, "name": "Kusum Pur" }, "end": { "lat": 22.81027, "lon": 115.83058, "name": "Jieshi" }, "waypoint": { "lat": 51.3707, "lon": 12.73939, "name": "Wurzen" }, "question": "Is Wurzen approximately on the direct path from Kusum Pur to Jieshi?", "ground_truth": { "answer": false, "direct_distance_km": 3910.8, "via_waypoint_km": 14729.2, "detour_km": 10818.3, "detour_percent": 276.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kusum Pur", " End: Jieshi", " Waypoint: Wurzen", "Step 2: Calculate direct distance", " Start → End: 3910.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14729.2 km", "Step 4: Calculate detour", " Detour = 14729.2 - 3910.8 = 10818.3 km", " Detour % = (10818.3 / 3910.8) × 100 = 276.6%", "Step 5: Determine if on route (typically < 10% detour)", " 276.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 46.97625, "lon": 31.99296, "name": "Mykolayiv" }, "end": { "lat": 11.95655, "lon": 75.34034, "name": "Pāppinisshēri" }, "waypoint": { "lat": -12.54667, "lon": -38.71194, "name": "Santo Amaro" }, "question": "Is Santo Amaro approximately on the direct path from Mykolayiv to Pāppinisshēri?", "ground_truth": { "answer": false, "direct_distance_km": 5608.8, "via_waypoint_km": 22486.2, "detour_km": 16877.3, "detour_percent": 300.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Mykolayiv", " End: Pāppinisshēri", " Waypoint: Santo Amaro", "Step 2: Calculate direct distance", " Start → End: 5608.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22486.2 km", "Step 4: Calculate detour", " Detour = 22486.2 - 5608.8 = 16877.3 km", " Detour % = (16877.3 / 5608.8) × 100 = 300.9%", "Step 5: Determine if on route (typically < 10% detour)", " 300.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -3.0804, "lon": 29.391, "name": "Bubanza" }, "end": { "lat": -0.1181, "lon": -67.08527, "name": "São Gabriel da Cachoeira" }, "waypoint": { "lat": 28.10178, "lon": -15.41573, "name": "Las Palmas de Gran Canaria" }, "question": "Is Las Palmas de Gran Canaria approximately on the direct path from Bubanza to São Gabriel da Cachoeira?", "ground_truth": { "answer": false, "direct_distance_km": 10725.9, "via_waypoint_km": 12237.7, "detour_km": 1511.7, "detour_percent": 14.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Bubanza", " End: São Gabriel da Cachoeira", " Waypoint: Las Palmas de Gran Canaria", "Step 2: Calculate direct distance", " Start → End: 10725.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12237.7 km", "Step 4: Calculate detour", " Detour = 12237.7 - 10725.9 = 1511.7 km", " Detour % = (1511.7 / 10725.9) × 100 = 14.1%", "Step 5: Determine if on route (typically < 10% detour)", " 14.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 48.80537, "lon": 9.52721, "name": "Schorndorf" }, "end": { "lat": -13.83333, "lon": -171.76666, "name": "Apia" }, "waypoint": { "lat": -3.54281, "lon": -45.60852, "name": "Bom Jardim" }, "question": "Is Bom Jardim approximately on the direct path from Schorndorf to Apia?", "ground_truth": { "answer": false, "direct_distance_km": 16124.6, "via_waypoint_km": 21641.5, "detour_km": 5516.9, "detour_percent": 34.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Schorndorf", " End: Apia", " Waypoint: Bom Jardim", "Step 2: Calculate direct distance", " Start → End: 16124.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21641.5 km", "Step 4: Calculate detour", " Detour = 21641.5 - 16124.6 = 5516.9 km", " Detour % = (5516.9 / 16124.6) × 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": 40.63205, "lon": -73.71263, "name": "Woodmere" }, "end": { "lat": 52.38084, "lon": 4.63683, "name": "Haarlem" }, "waypoint": { "lat": 37.00059, "lon": 138.2259, "name": "Arai" }, "question": "Is Arai approximately on the direct path from Woodmere to Haarlem?", "ground_truth": { "answer": false, "direct_distance_km": 5833.0, "via_waypoint_km": 19898.4, "detour_km": 14065.4, "detour_percent": 241.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Woodmere", " End: Haarlem", " Waypoint: Arai", "Step 2: Calculate direct distance", " Start → End: 5833.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19898.4 km", "Step 4: Calculate detour", " Detour = 19898.4 - 5833.0 = 14065.4 km", " Detour % = (14065.4 / 5833.0) × 100 = 241.1%", "Step 5: Determine if on route (typically < 10% detour)", " 241.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 60.67452, "lon": 17.14174, "name": "Gävle" }, "end": { "lat": 50.57953, "lon": 13.00627, "name": "Annaberg-Buchholz" }, "waypoint": { "lat": 22.37934, "lon": 57.52718, "name": "Adam" }, "question": "Is Adam approximately on the direct path from Gävle to Annaberg-Buchholz?", "ground_truth": { "answer": false, "direct_distance_km": 1151.6, "via_waypoint_km": 10222.8, "detour_km": 9071.3, "detour_percent": 787.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Gävle", " End: Annaberg-Buchholz", " Waypoint: Adam", "Step 2: Calculate direct distance", " Start → End: 1151.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 10222.8 km", "Step 4: Calculate detour", " Detour = 10222.8 - 1151.6 = 9071.3 km", " Detour % = (9071.3 / 1151.6) × 100 = 787.7%", "Step 5: Determine if on route (typically < 10% detour)", " 787.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 12.70354, "lon": -7.96463, "name": "Dialakorodji" }, "end": { "lat": 30.65, "lon": 75.6, "name": "Rāikot" }, "waypoint": { "lat": -3.10222, "lon": -67.93972, "name": "Santo Antônio do Içá" }, "question": "Is Santo Antônio do Içá approximately on the direct path from Dialakorodji to Rāikot?", "ground_truth": { "answer": false, "direct_distance_km": 8684.5, "via_waypoint_km": 21965.1, "detour_km": 13280.6, "detour_percent": 152.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Dialakorodji", " End: Rāikot", " Waypoint: Santo Antônio do Içá", "Step 2: Calculate direct distance", " Start → End: 8684.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21965.1 km", "Step 4: Calculate detour", " Detour = 21965.1 - 8684.5 = 13280.6 km", " Detour % = (13280.6 / 8684.5) × 100 = 152.9%", "Step 5: Determine if on route (typically < 10% detour)", " 152.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 22.95084, "lon": 73.63118, "name": "Shehera" }, "end": { "lat": -3.98889, "lon": -39.58056, "name": "Tejuçuoca" }, "waypoint": { "lat": 55.72445, "lon": 38.20908, "name": "Elektrougli" }, "question": "Is Elektrougli approximately on the direct path from Shehera to Tejuçuoca?", "ground_truth": { "answer": false, "direct_distance_km": 12554.3, "via_waypoint_km": 14270.6, "detour_km": 1716.4, "detour_percent": 13.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Shehera", " End: Tejuçuoca", " Waypoint: Elektrougli", "Step 2: Calculate direct distance", " Start → End: 12554.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14270.6 km", "Step 4: Calculate detour", " Detour = 14270.6 - 12554.3 = 1716.4 km", " Detour % = (1716.4 / 12554.3) × 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": 4.0913, "lon": 9.3144, "name": "Mutengene" }, "end": { "lat": 6.73618, "lon": 2.65866, "name": "Sakété" }, "waypoint": { "lat": 26.33863, "lon": -80.1869, "name": "Sandalfoot Cove" }, "question": "Is Sandalfoot Cove approximately on the direct path from Mutengene to Sakété?", "ground_truth": { "answer": false, "direct_distance_km": 793.2, "via_waypoint_km": 18721.4, "detour_km": 17928.1, "detour_percent": 2260.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Mutengene", " End: Sakété", " Waypoint: Sandalfoot Cove", "Step 2: Calculate direct distance", " Start → End: 793.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18721.4 km", "Step 4: Calculate detour", " Detour = 18721.4 - 793.2 = 17928.1 km", " Detour % = (17928.1 / 793.2) × 100 = 2260.1%", "Step 5: Determine if on route (typically < 10% detour)", " 2260.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -5.89624, "lon": 22.41659, "name": "Kananga" }, "end": { "lat": 40.39241, "lon": -3.57015, "name": "Casco Histórico de Vicálvaro" }, "waypoint": { "lat": 23.66667, "lon": 86.66667, "name": "Lakhyabad" }, "question": "Is Lakhyabad approximately on the direct path from Kananga to Casco Histórico de Vicálvaro?", "ground_truth": { "answer": false, "direct_distance_km": 5792.1, "via_waypoint_km": 16048.4, "detour_km": 10256.3, "detour_percent": 177.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kananga", " End: Casco Histórico de Vicálvaro", " Waypoint: Lakhyabad", "Step 2: Calculate direct distance", " Start → End: 5792.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16048.4 km", "Step 4: Calculate detour", " Detour = 16048.4 - 5792.1 = 10256.3 km", " Detour % = (10256.3 / 5792.1) × 100 = 177.1%", "Step 5: Determine if on route (typically < 10% detour)", " 177.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 33.55808, "lon": -7.48647, "name": "Tit Mellil" }, "end": { "lat": 11.10033, "lon": -2.10654, "name": "Léo" }, "waypoint": { "lat": -4.78944, "lon": -40.06333, "name": "Monsenhor Tabosa" }, "question": "Is Monsenhor Tabosa approximately on the direct path from Tit Mellil to Léo?", "ground_truth": { "answer": false, "direct_distance_km": 2556.6, "via_waypoint_km": 10025.9, "detour_km": 7469.3, "detour_percent": 292.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Tit Mellil", " End: Léo", " Waypoint: Monsenhor Tabosa", "Step 2: Calculate direct distance", " Start → End: 2556.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 10025.9 km", "Step 4: Calculate detour", " Detour = 10025.9 - 2556.6 = 7469.3 km", " Detour % = (7469.3 / 2556.6) × 100 = 292.2%", "Step 5: Determine if on route (typically < 10% detour)", " 292.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 36.26468, "lon": 68.01551, "name": "Aībak" }, "end": { "lat": 35.03823, "lon": 9.48494, "name": "Sidi Bouzid" }, "waypoint": { "lat": 35.92296, "lon": 5.29604, "name": "Aïn Oulmene" }, "question": "Is Aïn Oulmene approximately on the direct path from Aībak to Sidi Bouzid?", "ground_truth": { "answer": false, "direct_distance_km": 5206.6, "via_waypoint_km": 5922.2, "detour_km": 715.6, "detour_percent": 13.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Aībak", " End: Sidi Bouzid", " Waypoint: Aïn Oulmene", "Step 2: Calculate direct distance", " Start → End: 5206.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 5922.2 km", "Step 4: Calculate detour", " Detour = 5922.2 - 5206.6 = 715.6 km", " Detour % = (715.6 / 5206.6) × 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": -19.24842, "lon": 17.71345, "name": "Tsumeb" }, "end": { "lat": 42.41224, "lon": -82.18494, "name": "Chatham" }, "waypoint": { "lat": -38.37694, "lon": -60.27563, "name": "Tres Arroyos" }, "question": "Is Tres Arroyos approximately on the direct path from Tsumeb to Chatham?", "ground_truth": { "answer": false, "direct_distance_km": 12232.4, "via_waypoint_km": 16922.6, "detour_km": 4690.2, "detour_percent": 38.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Tsumeb", " End: Chatham", " Waypoint: Tres Arroyos", "Step 2: Calculate direct distance", " Start → End: 12232.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16922.6 km", "Step 4: Calculate detour", " Detour = 16922.6 - 12232.4 = 4690.2 km", " Detour % = (4690.2 / 12232.4) × 100 = 38.3%", "Step 5: Determine if on route (typically < 10% detour)", " 38.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 13.45274, "lon": -16.57803, "name": "Banjul" }, "end": { "lat": -5.74507, "lon": -47.36395, "name": "Governador Edison Lobão" }, "waypoint": { "lat": 44.14318, "lon": 43.00475, "name": "Zheleznovodsk" }, "question": "Is Zheleznovodsk approximately on the direct path from Banjul to Governador Edison Lobão?", "ground_truth": { "answer": false, "direct_distance_km": 4013.7, "via_waypoint_km": 17039.4, "detour_km": 13025.7, "detour_percent": 324.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Banjul", " End: Governador Edison Lobão", " Waypoint: Zheleznovodsk", "Step 2: Calculate direct distance", " Start → End: 4013.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17039.4 km", "Step 4: Calculate detour", " Detour = 17039.4 - 4013.7 = 13025.7 km", " Detour % = (13025.7 / 4013.7) × 100 = 324.5%", "Step 5: Determine if on route (typically < 10% detour)", " 324.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 43.1009, "lon": -75.23266, "name": "Utica" }, "end": { "lat": -36.8582, "lon": 174.62019, "name": "Lincoln" }, "waypoint": { "lat": 50.61723, "lon": -3.40233, "name": "Exmouth" }, "question": "Is Exmouth approximately on the direct path from Utica to Lincoln?", "ground_truth": { "answer": false, "direct_distance_km": 14196.0, "via_waypoint_km": 23784.7, "detour_km": 9588.7, "detour_percent": 67.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Utica", " End: Lincoln", " Waypoint: Exmouth", "Step 2: Calculate direct distance", " Start → End: 14196.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23784.7 km", "Step 4: Calculate detour", " Detour = 23784.7 - 14196.0 = 9588.7 km", " Detour % = (9588.7 / 14196.0) × 100 = 67.5%", "Step 5: Determine if on route (typically < 10% detour)", " 67.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -37.88264, "lon": 144.7003, "name": "Hoppers Crossing" }, "end": { "lat": -3.37833, "lon": -68.8725, "name": "São Paulo de Olivença" }, "waypoint": { "lat": 40.16667, "lon": 94.68333, "name": "Dunhuang" }, "question": "Is Dunhuang approximately on the direct path from Hoppers Crossing to São Paulo de Olivença?", "ground_truth": { "answer": false, "direct_distance_km": 14270.4, "via_waypoint_km": 25664.9, "detour_km": 11394.6, "detour_percent": 79.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Hoppers Crossing", " End: São Paulo de Olivença", " Waypoint: Dunhuang", "Step 2: Calculate direct distance", " Start → End: 14270.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 25664.9 km", "Step 4: Calculate detour", " Detour = 25664.9 - 14270.4 = 11394.6 km", " Detour % = (11394.6 / 14270.4) × 100 = 79.8%", "Step 5: Determine if on route (typically < 10% detour)", " 79.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 45.68456, "lon": -122.5751, "name": "Five Corners" }, "end": { "lat": -28.07071, "lon": 153.39329, "name": "Robina" }, "waypoint": { "lat": 55.88333, "lon": 37.71667, "name": "Yaroslavskiy" }, "question": "Is Yaroslavskiy approximately on the direct path from Five Corners to Robina?", "ground_truth": { "answer": false, "direct_distance_km": 11766.5, "via_waypoint_km": 22710.9, "detour_km": 10944.4, "detour_percent": 93.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Five Corners", " End: Robina", " Waypoint: Yaroslavskiy", "Step 2: Calculate direct distance", " Start → End: 11766.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22710.9 km", "Step 4: Calculate detour", " Detour = 22710.9 - 11766.5 = 10944.4 km", " Detour % = (10944.4 / 11766.5) × 100 = 93.0%", "Step 5: Determine if on route (typically < 10% detour)", " 93.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -19.46583, "lon": -44.24667, "name": "Sete Lagoas" }, "end": { "lat": 7.62789, "lon": 4.74161, "name": "Ilesa" }, "waypoint": { "lat": 40.92006, "lon": 14.19339, "name": "Villaricca" }, "question": "Is Villaricca approximately on the direct path from Sete Lagoas to Ilesa?", "ground_truth": { "answer": false, "direct_distance_km": 6151.3, "via_waypoint_km": 12836.9, "detour_km": 6685.6, "detour_percent": 108.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Sete Lagoas", " End: Ilesa", " Waypoint: Villaricca", "Step 2: Calculate direct distance", " Start → End: 6151.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12836.9 km", "Step 4: Calculate detour", " Detour = 12836.9 - 6151.3 = 6685.6 km", " Detour % = (6685.6 / 6151.3) × 100 = 108.7%", "Step 5: Determine if on route (typically < 10% detour)", " 108.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 33.74557, "lon": -117.86783, "name": "Santa Ana" }, "end": { "lat": -19.26639, "lon": 146.80569, "name": "Townsville" }, "waypoint": { "lat": 35.03823, "lon": 9.48494, "name": "Sidi Bouzid" }, "question": "Is Sidi Bouzid approximately on the direct path from Santa Ana to Townsville?", "ground_truth": { "answer": false, "direct_distance_km": 11657.9, "via_waypoint_km": 26092.9, "detour_km": 14435.0, "detour_percent": 123.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Santa Ana", " End: Townsville", " Waypoint: Sidi Bouzid", "Step 2: Calculate direct distance", " Start → End: 11657.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 26092.9 km", "Step 4: Calculate detour", " Detour = 26092.9 - 11657.9 = 14435.0 km", " Detour % = (14435.0 / 11657.9) × 100 = 123.8%", "Step 5: Determine if on route (typically < 10% detour)", " 123.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 9.0912, "lon": 76.53034, "name": "Kulasēkarapuram" }, "end": { "lat": 39.0882, "lon": 28.97767, "name": "Simav" }, "waypoint": { "lat": 32.68333, "lon": 13.18333, "name": "Qaşr Bin Ghashīr" }, "question": "Is Qaşr Bin Ghashīr approximately on the direct path from Kulasēkarapuram to Simav?", "ground_truth": { "answer": false, "direct_distance_km": 5772.2, "via_waypoint_km": 8563.6, "detour_km": 2791.5, "detour_percent": 48.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kulasēkarapuram", " End: Simav", " Waypoint: Qaşr Bin Ghashīr", "Step 2: Calculate direct distance", " Start → End: 5772.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 8563.6 km", "Step 4: Calculate detour", " Detour = 8563.6 - 5772.2 = 2791.5 km", " Detour % = (2791.5 / 5772.2) × 100 = 48.4%", "Step 5: Determine if on route (typically < 10% detour)", " 48.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 25.34558, "lon": 72.61559, "name": "Jalor" }, "end": { "lat": 34.68885, "lon": 103.35242, "name": "Lintan Chengguanzhen" }, "waypoint": { "lat": 11.14805, "lon": 78.59911, "name": "Thuraiyur" }, "question": "Is Thuraiyur approximately on the direct path from Jalor to Lintan Chengguanzhen?", "ground_truth": { "answer": false, "direct_distance_km": 3121.6, "via_waypoint_km": 5322.2, "detour_km": 2200.6, "detour_percent": 70.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Jalor", " End: Lintan Chengguanzhen", " Waypoint: Thuraiyur", "Step 2: Calculate direct distance", " Start → End: 3121.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 5322.2 km", "Step 4: Calculate detour", " Detour = 5322.2 - 3121.6 = 2200.6 km", " Detour % = (2200.6 / 3121.6) × 100 = 70.5%", "Step 5: Determine if on route (typically < 10% detour)", " 70.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -5.5375, "lon": -35.81972, "name": "João Câmara" }, "end": { "lat": 42.80847, "lon": -1.65825, "name": "Iturrama" }, "waypoint": { "lat": -38.1, "lon": 145.13333, "name": "Seaford" }, "question": "Is Seaford approximately on the direct path from João Câmara to Iturrama?", "ground_truth": { "answer": false, "direct_distance_km": 6383.6, "via_waypoint_km": 32337.8, "detour_km": 25954.2, "detour_percent": 406.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: João Câmara", " End: Iturrama", " Waypoint: Seaford", "Step 2: Calculate direct distance", " Start → End: 6383.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 32337.8 km", "Step 4: Calculate detour", " Detour = 32337.8 - 6383.6 = 25954.2 km", " Detour % = (25954.2 / 6383.6) × 100 = 406.6%", "Step 5: Determine if on route (typically < 10% detour)", " 406.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 17.332, "lon": 78.52553, "name": "Jilādiguda" }, "end": { "lat": -37.83382, "lon": 144.93834, "name": "City of Port Phillip" }, "waypoint": { "lat": 45.95547, "lon": 33.79261, "name": "Yany Kapu" }, "question": "Is Yany Kapu approximately on the direct path from Jilādiguda to City of Port Phillip?", "ground_truth": { "answer": false, "direct_distance_km": 9247.9, "via_waypoint_km": 19618.4, "detour_km": 10370.5, "detour_percent": 112.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Jilādiguda", " End: City of Port Phillip", " Waypoint: Yany Kapu", "Step 2: Calculate direct distance", " Start → End: 9247.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19618.4 km", "Step 4: Calculate detour", " Detour = 19618.4 - 9247.9 = 10370.5 km", " Detour % = (10370.5 / 9247.9) × 100 = 112.1%", "Step 5: Determine if on route (typically < 10% detour)", " 112.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 49.68333, "lon": 5.81667, "name": "Arlon" }, "end": { "lat": 14.14989, "lon": 121.3152, "name": "Calauan" }, "waypoint": { "lat": -9.86071, "lon": 124.28395, "name": "Soe" }, "question": "Is Soe approximately on the direct path from Arlon to Calauan?", "ground_truth": { "answer": false, "direct_distance_km": 10541.3, "via_waypoint_km": 15560.5, "detour_km": 5019.2, "detour_percent": 47.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Arlon", " End: Calauan", " Waypoint: Soe", "Step 2: Calculate direct distance", " Start → End: 10541.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15560.5 km", "Step 4: Calculate detour", " Detour = 15560.5 - 10541.3 = 5019.2 km", " Detour % = (5019.2 / 10541.3) × 100 = 47.6%", "Step 5: Determine if on route (typically < 10% detour)", " 47.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -25.15226, "lon": 28.85563, "name": "Vaalbank" }, "end": { "lat": 38.59505, "lon": -90.54623, "name": "Ballwin" }, "waypoint": { "lat": 41.11121, "lon": -74.06848, "name": "Monsey" }, "question": "Is Monsey approximately on the direct path from Vaalbank to Ballwin?", "ground_truth": { "answer": true, "direct_distance_km": 14207.1, "via_waypoint_km": 14285.4, "detour_km": 78.3, "detour_percent": 0.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Vaalbank", " End: Ballwin", " Waypoint: Monsey", "Step 2: Calculate direct distance", " Start → End: 14207.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14285.4 km", "Step 4: Calculate detour", " Detour = 14285.4 - 14207.1 = 78.3 km", " Detour % = (78.3 / 14207.1) × 100 = 0.6%", "Step 5: Determine if on route (typically < 10% detour)", " 0.6% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 28.90889, "lon": 106.3404, "name": "Caijia" }, "end": { "lat": -1.5394, "lon": 29.5558, "name": "Mukingo" }, "waypoint": { "lat": 40.69983, "lon": -73.83125, "name": "Richmond Hill" }, "question": "Is Richmond Hill approximately on the direct path from Caijia to Mukingo?", "ground_truth": { "answer": false, "direct_distance_km": 8808.7, "via_waypoint_km": 23519.7, "detour_km": 14711.1, "detour_percent": 167.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Caijia", " End: Mukingo", " Waypoint: Richmond Hill", "Step 2: Calculate direct distance", " Start → End: 8808.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23519.7 km", "Step 4: Calculate detour", " Detour = 23519.7 - 8808.7 = 14711.1 km", " Detour % = (14711.1 / 8808.7) × 100 = 167.0%", "Step 5: Determine if on route (typically < 10% detour)", " 167.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 35.95333, "lon": 8.12917, "name": "Ouenza" }, "end": { "lat": 12.48735, "lon": -6.80313, "name": "Dioïla" }, "waypoint": { "lat": 51.50901, "lon": -0.2762, "name": "Acton" }, "question": "Is Acton approximately on the direct path from Ouenza to Dioïla?", "ground_truth": { "answer": false, "direct_distance_km": 3007.9, "via_waypoint_km": 6232.6, "detour_km": 3224.8, "detour_percent": 107.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ouenza", " End: Dioïla", " Waypoint: Acton", "Step 2: Calculate direct distance", " Start → End: 3007.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 6232.6 km", "Step 4: Calculate detour", " Detour = 6232.6 - 3007.9 = 3224.8 km", " Detour % = (3224.8 / 3007.9) × 100 = 107.2%", "Step 5: Determine if on route (typically < 10% detour)", " 107.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 36.71715, "lon": -4.27583, "name": "Rincón de la Victoria" }, "end": { "lat": 52.9911, "lon": 22.88422, "name": "Łapy" }, "waypoint": { "lat": 26.10611, "lon": 34.27716, "name": "Al Quşayr" }, "question": "Is Al Quşayr approximately on the direct path from Rincón de la Victoria to Łapy?", "ground_truth": { "answer": false, "direct_distance_km": 2773.5, "via_waypoint_km": 6951.3, "detour_km": 4177.8, "detour_percent": 150.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Rincón de la Victoria", " End: Łapy", " Waypoint: Al Quşayr", "Step 2: Calculate direct distance", " Start → End: 2773.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 6951.3 km", "Step 4: Calculate detour", " Detour = 6951.3 - 2773.5 = 4177.8 km", " Detour % = (4177.8 / 2773.5) × 100 = 150.6%", "Step 5: Determine if on route (typically < 10% detour)", " 150.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 7.57944, "lon": -8.53778, "name": "New Yekepa" }, "end": { "lat": 34.67534, "lon": 133.75091, "name": "Sōja" }, "waypoint": { "lat": 45.61128, "lon": 8.84914, "name": "Busto Arsizio" }, "question": "Is Busto Arsizio approximately on the direct path from New Yekepa to Sōja?", "ground_truth": { "answer": true, "direct_distance_km": 13870.6, "via_waypoint_km": 14060.5, "detour_km": 189.9, "detour_percent": 1.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: New Yekepa", " End: Sōja", " Waypoint: Busto Arsizio", "Step 2: Calculate direct distance", " Start → End: 13870.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14060.5 km", "Step 4: Calculate detour", " Detour = 14060.5 - 13870.6 = 189.9 km", " Detour % = (189.9 / 13870.6) × 100 = 1.4%", "Step 5: Determine if on route (typically < 10% detour)", " 1.4% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 53.58007, "lon": 10.04067, "name": "Barmbek-Süd" }, "end": { "lat": 39.58471, "lon": -104.90109, "name": "Castlewood" }, "waypoint": { "lat": 26.1, "lon": 44.0, "name": "Unaizah" }, "question": "Is Unaizah approximately on the direct path from Barmbek-Süd to Castlewood?", "ground_truth": { "answer": false, "direct_distance_km": 7933.6, "via_waypoint_km": 16170.6, "detour_km": 8237.0, "detour_percent": 103.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Barmbek-Süd", " End: Castlewood", " Waypoint: Unaizah", "Step 2: Calculate direct distance", " Start → End: 7933.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16170.6 km", "Step 4: Calculate detour", " Detour = 16170.6 - 7933.6 = 8237.0 km", " Detour % = (8237.0 / 7933.6) × 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": 36.44917, "lon": 119.83556, "name": "Xiazhuang" }, "end": { "lat": 25.59246, "lon": 56.26176, "name": "Dibba Al-Fujairah" }, "waypoint": { "lat": 31.84473, "lon": 74.76295, "name": "Ajnāla" }, "question": "Is Ajnāla approximately on the direct path from Xiazhuang to Dibba Al-Fujairah?", "ground_truth": { "answer": true, "direct_distance_km": 6069.5, "via_waypoint_km": 6072.0, "detour_km": 2.5, "detour_percent": 0.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Xiazhuang", " End: Dibba Al-Fujairah", " Waypoint: Ajnāla", "Step 2: Calculate direct distance", " Start → End: 6069.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 6072.0 km", "Step 4: Calculate detour", " Detour = 6072.0 - 6069.5 = 2.5 km", " Detour % = (2.5 / 6069.5) × 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": 47.66667, "lon": 21.51667, "name": "Hajdúböszörmény" }, "end": { "lat": 56.02714, "lon": 37.46793, "name": "Lobnya" }, "waypoint": { "lat": 34.92, "lon": -2.32, "name": "Berkane" }, "question": "Is Berkane approximately on the direct path from Hajdúböszörmény to Lobnya?", "ground_truth": { "answer": false, "direct_distance_km": 1430.9, "via_waypoint_km": 6234.1, "detour_km": 4803.1, "detour_percent": 335.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Hajdúböszörmény", " End: Lobnya", " Waypoint: Berkane", "Step 2: Calculate direct distance", " Start → End: 1430.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 6234.1 km", "Step 4: Calculate detour", " Detour = 6234.1 - 1430.9 = 4803.1 km", " Detour % = (4803.1 / 1430.9) × 100 = 335.7%", "Step 5: Determine if on route (typically < 10% detour)", " 335.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 28.75089, "lon": 77.14647, "name": "Libāspur" }, "end": { "lat": -7.42139, "lon": 109.23444, "name": "Purwokerto" }, "waypoint": { "lat": 39.15759, "lon": -3.02156, "name": "Tomelloso" }, "question": "Is Tomelloso approximately on the direct path from Libāspur to Purwokerto?", "ground_truth": { "answer": false, "direct_distance_km": 5291.7, "via_waypoint_km": 19688.7, "detour_km": 14396.9, "detour_percent": 272.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Libāspur", " End: Purwokerto", " Waypoint: Tomelloso", "Step 2: Calculate direct distance", " Start → End: 5291.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19688.7 km", "Step 4: Calculate detour", " Detour = 19688.7 - 5291.7 = 14396.9 km", " Detour % = (14396.9 / 5291.7) × 100 = 272.1%", "Step 5: Determine if on route (typically < 10% detour)", " 272.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 40.88149, "lon": -74.1132, "name": "Garfield" }, "end": { "lat": 22.37286, "lon": 114.17897, "name": "Tai Wai" }, "waypoint": { "lat": 42.01528, "lon": 21.44111, "name": "Čair" }, "question": "Is Čair approximately on the direct path from Garfield to Tai Wai?", "ground_truth": { "answer": false, "direct_distance_km": 12929.5, "via_waypoint_km": 16080.2, "detour_km": 3150.8, "detour_percent": 24.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Garfield", " End: Tai Wai", " Waypoint: Čair", "Step 2: Calculate direct distance", " Start → End: 12929.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16080.2 km", "Step 4: Calculate detour", " Detour = 16080.2 - 12929.5 = 3150.8 km", " Detour % = (3150.8 / 12929.5) × 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": 22.75268, "lon": 73.14967, "name": "Dākor" }, "end": { "lat": 56.48989, "lon": 43.60114, "name": "Novaya Balakhna" }, "waypoint": { "lat": -16.3575, "lon": -46.90611, "name": "Unaí" }, "question": "Is Unaí approximately on the direct path from Dākor to Novaya Balakhna?", "ground_truth": { "answer": false, "direct_distance_km": 4454.4, "via_waypoint_km": 25282.2, "detour_km": 20827.8, "detour_percent": 467.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Dākor", " End: Novaya Balakhna", " Waypoint: Unaí", "Step 2: Calculate direct distance", " Start → End: 4454.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 25282.2 km", "Step 4: Calculate detour", " Detour = 25282.2 - 4454.4 = 20827.8 km", " Detour % = (20827.8 / 4454.4) × 100 = 467.6%", "Step 5: Determine if on route (typically < 10% detour)", " 467.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -37.78333, "lon": 175.28333, "name": "Hamilton" }, "end": { "lat": -12.63247, "lon": 28.05367, "name": "Chambishi" }, "waypoint": { "lat": 40.63871, "lon": -73.64013, "name": "Oceanside" }, "question": "Is Oceanside approximately on the direct path from Hamilton to Chambishi?", "ground_truth": { "answer": false, "direct_distance_km": 13450.4, "via_waypoint_km": 26124.0, "detour_km": 12673.6, "detour_percent": 94.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Hamilton", " End: Chambishi", " Waypoint: Oceanside", "Step 2: Calculate direct distance", " Start → End: 13450.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 26124.0 km", "Step 4: Calculate detour", " Detour = 26124.0 - 13450.4 = 12673.6 km", " Detour % = (12673.6 / 13450.4) × 100 = 94.2%", "Step 5: Determine if on route (typically < 10% detour)", " 94.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 33.72353, "lon": 105.67572, "name": "Paosha" }, "end": { "lat": 43.68282, "lon": -79.37967, "name": "Rosedale-Moore Park" }, "waypoint": { "lat": 8.22542, "lon": -0.64889, "name": "Yegyi" }, "question": "Is Yegyi approximately on the direct path from Paosha to Rosedale-Moore Park?", "ground_truth": { "answer": false, "direct_distance_km": 11392.6, "via_waypoint_km": 19451.4, "detour_km": 8058.8, "detour_percent": 70.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Paosha", " End: Rosedale-Moore Park", " Waypoint: Yegyi", "Step 2: Calculate direct distance", " Start → End: 11392.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19451.4 km", "Step 4: Calculate detour", " Detour = 19451.4 - 11392.6 = 8058.8 km", " Detour % = (8058.8 / 11392.6) × 100 = 70.7%", "Step 5: Determine if on route (typically < 10% detour)", " 70.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 45.46536, "lon": -73.66585, "name": "Côte-Saint-Luc" }, "end": { "lat": 7.46478, "lon": 5.42333, "name": "Ise-Ekiti" }, "waypoint": { "lat": 37.79658, "lon": 48.90521, "name": "Hashtpar" }, "question": "Is Hashtpar approximately on the direct path from Côte-Saint-Luc to Ise-Ekiti?", "ground_truth": { "answer": false, "direct_distance_km": 8566.7, "via_waypoint_km": 14637.5, "detour_km": 6070.8, "detour_percent": 70.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Côte-Saint-Luc", " End: Ise-Ekiti", " Waypoint: Hashtpar", "Step 2: Calculate direct distance", " Start → End: 8566.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14637.5 km", "Step 4: Calculate detour", " Detour = 14637.5 - 8566.7 = 6070.8 km", " Detour % = (6070.8 / 8566.7) × 100 = 70.9%", "Step 5: Determine if on route (typically < 10% detour)", " 70.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -26.40843, "lon": -54.69463, "name": "Puerto Eldorado" }, "end": { "lat": 1.67817, "lon": -75.28466, "name": "El Doncello" }, "waypoint": { "lat": 30.96187, "lon": 108.24327, "name": "Nanmen" }, "question": "Is Nanmen approximately on the direct path from Puerto Eldorado to El Doncello?", "ground_truth": { "answer": false, "direct_distance_km": 3825.8, "via_waypoint_km": 34644.1, "detour_km": 30818.3, "detour_percent": 805.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Puerto Eldorado", " End: El Doncello", " Waypoint: Nanmen", "Step 2: Calculate direct distance", " Start → End: 3825.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 34644.1 km", "Step 4: Calculate detour", " Detour = 34644.1 - 3825.8 = 30818.3 km", " Detour % = (30818.3 / 3825.8) × 100 = 805.5%", "Step 5: Determine if on route (typically < 10% detour)", " 805.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 29.39779, "lon": 71.6752, "name": "Bahawalpur" }, "end": { "lat": 53.10434, "lon": -2.02207, "name": "Leek" }, "waypoint": { "lat": 52.41667, "lon": 12.55, "name": "Brandenburg an der Havel" }, "question": "Is Brandenburg an der Havel approximately on the direct path from Bahawalpur to Leek?", "ground_truth": { "answer": true, "direct_distance_km": 6377.9, "via_waypoint_km": 6382.7, "detour_km": 4.8, "detour_percent": 0.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Bahawalpur", " End: Leek", " Waypoint: Brandenburg an der Havel", "Step 2: Calculate direct distance", " Start → End: 6377.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 6382.7 km", "Step 4: Calculate detour", " Detour = 6382.7 - 6377.9 = 4.8 km", " Detour % = (4.8 / 6377.9) × 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": -28.00274, "lon": 153.42999, "name": "Surfers Paradise" }, "end": { "lat": 17.77844, "lon": 83.21577, "name": "Vepagunta" }, "waypoint": { "lat": 50.17058, "lon": 12.13054, "name": "Selb" }, "question": "Is Selb approximately on the direct path from Surfers Paradise to Vepagunta?", "ground_truth": { "answer": false, "direct_distance_km": 9104.7, "via_waypoint_km": 23095.8, "detour_km": 13991.1, "detour_percent": 153.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Surfers Paradise", " End: Vepagunta", " Waypoint: Selb", "Step 2: Calculate direct distance", " Start → End: 9104.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23095.8 km", "Step 4: Calculate detour", " Detour = 23095.8 - 9104.7 = 13991.1 km", " Detour % = (13991.1 / 9104.7) × 100 = 153.7%", "Step 5: Determine if on route (typically < 10% detour)", " 153.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 57.64667, "lon": 11.92944, "name": "Västra Frölunda" }, "end": { "lat": -15.32333, "lon": -58.00361, "name": "Lambari d'Oeste" }, "waypoint": { "lat": -7.75938, "lon": 15.2722, "name": "Negage" }, "question": "Is Negage approximately on the direct path from Västra Frölunda to Lambari d'Oeste?", "ground_truth": { "answer": false, "direct_distance_km": 10301.7, "via_waypoint_km": 15274.1, "detour_km": 4972.4, "detour_percent": 48.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Västra Frölunda", " End: Lambari d'Oeste", " Waypoint: Negage", "Step 2: Calculate direct distance", " Start → End: 10301.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15274.1 km", "Step 4: Calculate detour", " Detour = 15274.1 - 10301.7 = 4972.4 km", " Detour % = (4972.4 / 10301.7) × 100 = 48.3%", "Step 5: Determine if on route (typically < 10% detour)", " 48.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -13.53188, "lon": -71.96701, "name": "Cusco" }, "end": { "lat": -10.91722, "lon": -37.65, "name": "Lagarto" }, "waypoint": { "lat": 6.00815, "lon": -58.30724, "name": "Linden" }, "question": "Is Linden approximately on the direct path from Cusco to Lagarto?", "ground_truth": { "answer": false, "direct_distance_km": 3737.7, "via_waypoint_km": 5606.2, "detour_km": 1868.5, "detour_percent": 50.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Cusco", " End: Lagarto", " Waypoint: Linden", "Step 2: Calculate direct distance", " Start → End: 3737.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 5606.2 km", "Step 4: Calculate detour", " Detour = 5606.2 - 3737.7 = 1868.5 km", " Detour % = (1868.5 / 3737.7) × 100 = 50.0%", "Step 5: Determine if on route (typically < 10% detour)", " 50.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 22.52694, "lon": -81.12861, "name": "Jagüey Grande" }, "end": { "lat": 30.97531, "lon": 41.03808, "name": "Arar" }, "waypoint": { "lat": 50.72724, "lon": 12.48839, "name": "Zwickau" }, "question": "Is Zwickau approximately on the direct path from Jagüey Grande to Arar?", "ground_truth": { "answer": true, "direct_distance_km": 11449.8, "via_waypoint_km": 11551.2, "detour_km": 101.4, "detour_percent": 0.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Jagüey Grande", " End: Arar", " Waypoint: Zwickau", "Step 2: Calculate direct distance", " Start → End: 11449.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 11551.2 km", "Step 4: Calculate detour", " Detour = 11551.2 - 11449.8 = 101.4 km", " Detour % = (101.4 / 11449.8) × 100 = 0.9%", "Step 5: Determine if on route (typically < 10% detour)", " 0.9% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 43.01839, "lon": -78.6967, "name": "East Amherst" }, "end": { "lat": 49.08061, "lon": 19.62218, "name": "Liptovský Mikuláš" }, "waypoint": { "lat": 10.02588, "lon": -69.24166, "name": "Los Rastrojos" }, "question": "Is Los Rastrojos approximately on the direct path from East Amherst to Liptovský Mikuláš?", "ground_truth": { "answer": false, "direct_distance_km": 7060.6, "via_waypoint_km": 12866.2, "detour_km": 5805.6, "detour_percent": 82.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: East Amherst", " End: Liptovský Mikuláš", " Waypoint: Los Rastrojos", "Step 2: Calculate direct distance", " Start → End: 7060.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12866.2 km", "Step 4: Calculate detour", " Detour = 12866.2 - 7060.6 = 5805.6 km", " Detour % = (5805.6 / 7060.6) × 100 = 82.2%", "Step 5: Determine if on route (typically < 10% detour)", " 82.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 37.26804, "lon": -77.40726, "name": "Colonial Heights" }, "end": { "lat": 14.61513, "lon": -60.90311, "name": "Le François" }, "waypoint": { "lat": 13.94944, "lon": 38.18417, "name": "Indabaguna" }, "question": "Is Indabaguna approximately on the direct path from Colonial Heights to Le François?", "ground_truth": { "answer": false, "direct_distance_km": 3000.6, "via_waypoint_km": 21775.8, "detour_km": 18775.2, "detour_percent": 625.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Colonial Heights", " End: Le François", " Waypoint: Indabaguna", "Step 2: Calculate direct distance", " Start → End: 3000.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21775.8 km", "Step 4: Calculate detour", " Detour = 21775.8 - 3000.6 = 18775.2 km", " Detour % = (18775.2 / 3000.6) × 100 = 625.7%", "Step 5: Determine if on route (typically < 10% detour)", " 625.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 31.72024, "lon": -106.46084, "name": "Ciudad Juárez" }, "end": { "lat": -37.96667, "lon": 145.16667, "name": "Noble Park" }, "waypoint": { "lat": 10.29532, "lon": -67.7177, "name": "Mariara" }, "question": "Is Mariara approximately on the direct path from Ciudad Juárez to Noble Park?", "ground_truth": { "answer": false, "direct_distance_km": 13602.7, "via_waypoint_km": 20156.7, "detour_km": 6554.0, "detour_percent": 48.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ciudad Juárez", " End: Noble Park", " Waypoint: Mariara", "Step 2: Calculate direct distance", " Start → End: 13602.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20156.7 km", "Step 4: Calculate detour", " Detour = 20156.7 - 13602.7 = 6554.0 km", " Detour % = (6554.0 / 13602.7) × 100 = 48.2%", "Step 5: Determine if on route (typically < 10% detour)", " 48.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 7.125, "lon": -73.11895, "name": "Bucaramanga" }, "end": { "lat": 39.53333, "lon": 63.83333, "name": "Karakul’" }, "waypoint": { "lat": -2.66667, "lon": 32.65, "name": "Sengerema" }, "question": "Is Sengerema approximately on the direct path from Bucaramanga to Karakul’?", "ground_truth": { "answer": false, "direct_distance_km": 13199.5, "via_waypoint_km": 17452.9, "detour_km": 4253.4, "detour_percent": 32.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Bucaramanga", " End: Karakul’", " Waypoint: Sengerema", "Step 2: Calculate direct distance", " Start → End: 13199.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17452.9 km", "Step 4: Calculate detour", " Detour = 17452.9 - 13199.5 = 4253.4 km", " Detour % = (4253.4 / 13199.5) × 100 = 32.2%", "Step 5: Determine if on route (typically < 10% detour)", " 32.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -35.5952, "lon": -71.72924, "name": "San Javier" }, "end": { "lat": 4.86242, "lon": -74.90977, "name": "Lérida" }, "waypoint": { "lat": 33.33205, "lon": 106.15496, "name": "Lüeyang Chengguanzhen" }, "question": "Is Lüeyang Chengguanzhen approximately on the direct path from San Javier to Lérida?", "ground_truth": { "answer": false, "direct_distance_km": 4510.9, "via_waypoint_km": 35463.9, "detour_km": 30953.0, "detour_percent": 686.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: San Javier", " End: Lérida", " Waypoint: Lüeyang Chengguanzhen", "Step 2: Calculate direct distance", " Start → End: 4510.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 35463.9 km", "Step 4: Calculate detour", " Detour = 35463.9 - 4510.9 = 30953.0 km", " Detour % = (30953.0 / 4510.9) × 100 = 686.2%", "Step 5: Determine if on route (typically < 10% detour)", " 686.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 30.24548, "lon": -85.64826, "name": "Lynn Haven" }, "end": { "lat": 47.02895, "lon": -65.50186, "name": "Miramichi" }, "waypoint": { "lat": 34.3009, "lon": 71.65238, "name": "Tangi" }, "question": "Is Tangi approximately on the direct path from Lynn Haven to Miramichi?", "ground_truth": { "answer": false, "direct_distance_km": 2543.3, "via_waypoint_km": 22463.9, "detour_km": 19920.6, "detour_percent": 783.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Lynn Haven", " End: Miramichi", " Waypoint: Tangi", "Step 2: Calculate direct distance", " Start → End: 2543.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22463.9 km", "Step 4: Calculate detour", " Detour = 22463.9 - 2543.3 = 19920.6 km", " Detour % = (19920.6 / 2543.3) × 100 = 783.3%", "Step 5: Determine if on route (typically < 10% detour)", " 783.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 30.18479, "lon": 31.10649, "name": "Manshīyat al Qanāţir" }, "end": { "lat": 27.19678, "lon": 2.47913, "name": "In Salah" }, "waypoint": { "lat": 53.55018, "lon": 9.94653, "name": "Altona-Altstadt" }, "question": "Is Altona-Altstadt approximately on the direct path from Manshīyat al Qanāţir to In Salah?", "ground_truth": { "answer": false, "direct_distance_km": 2804.7, "via_waypoint_km": 6101.8, "detour_km": 3297.1, "detour_percent": 117.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Manshīyat al Qanāţir", " End: In Salah", " Waypoint: Altona-Altstadt", "Step 2: Calculate direct distance", " Start → End: 2804.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 6101.8 km", "Step 4: Calculate detour", " Detour = 6101.8 - 2804.7 = 3297.1 km", " Detour % = (3297.1 / 2804.7) × 100 = 117.6%", "Step 5: Determine if on route (typically < 10% detour)", " 117.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -30.40001, "lon": 27.70027, "name": "Quthing" }, "end": { "lat": -15.245, "lon": -40.62444, "name": "Itambé" }, "waypoint": { "lat": 40.0395, "lon": -84.20328, "name": "Troy" }, "question": "Is Troy approximately on the direct path from Quthing to Itambé?", "ground_truth": { "answer": false, "direct_distance_km": 7102.0, "via_waypoint_km": 21506.8, "detour_km": 14404.8, "detour_percent": 202.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Quthing", " End: Itambé", " Waypoint: Troy", "Step 2: Calculate direct distance", " Start → End: 7102.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21506.8 km", "Step 4: Calculate detour", " Detour = 21506.8 - 7102.0 = 14404.8 km", " Detour % = (14404.8 / 7102.0) × 100 = 202.8%", "Step 5: Determine if on route (typically < 10% detour)", " 202.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 38.819, "lon": -76.99859, "name": "Glassmanor" }, "end": { "lat": 17.2955, "lon": -62.72499, "name": "Basseterre" }, "waypoint": { "lat": -25.5302, "lon": -49.20836, "name": "São José dos Pinhais" }, "question": "Is São José dos Pinhais approximately on the direct path from Glassmanor to Basseterre?", "ground_truth": { "answer": false, "direct_distance_km": 2764.8, "via_waypoint_km": 12698.9, "detour_km": 9934.0, "detour_percent": 359.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Glassmanor", " End: Basseterre", " Waypoint: São José dos Pinhais", "Step 2: Calculate direct distance", " Start → End: 2764.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12698.9 km", "Step 4: Calculate detour", " Detour = 12698.9 - 2764.8 = 9934.0 km", " Detour % = (9934.0 / 2764.8) × 100 = 359.3%", "Step 5: Determine if on route (typically < 10% detour)", " 359.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -20.25777, "lon": 57.74976, "name": "Bel Air Rivière Sèche" }, "end": { "lat": 8.4541, "lon": 39.21752, "name": "Wonji" }, "waypoint": { "lat": -1.74639, "lon": -47.05944, "name": "Capitão Poço" }, "question": "Is Capitão Poço approximately on the direct path from Bel Air Rivière Sèche to Wonji?", "ground_truth": { "answer": false, "direct_distance_km": 3781.9, "via_waypoint_km": 21107.3, "detour_km": 17325.4, "detour_percent": 458.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Bel Air Rivière Sèche", " End: Wonji", " Waypoint: Capitão Poço", "Step 2: Calculate direct distance", " Start → End: 3781.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21107.3 km", "Step 4: Calculate detour", " Detour = 21107.3 - 3781.9 = 17325.4 km", " Detour % = (17325.4 / 3781.9) × 100 = 458.1%", "Step 5: Determine if on route (typically < 10% detour)", " 458.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 34.11279, "lon": 2.10228, "name": "Aflou" }, "end": { "lat": -23.5475, "lon": -46.63611, "name": "São Paulo" }, "waypoint": { "lat": 43.61558, "lon": -84.24721, "name": "Midland" }, "question": "Is Midland approximately on the direct path from Aflou to São Paulo?", "ground_truth": { "answer": false, "direct_distance_km": 8222.7, "via_waypoint_km": 15607.3, "detour_km": 7384.6, "detour_percent": 89.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Aflou", " End: São Paulo", " Waypoint: Midland", "Step 2: Calculate direct distance", " Start → End: 8222.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15607.3 km", "Step 4: Calculate detour", " Detour = 15607.3 - 8222.7 = 7384.6 km", " Detour % = (7384.6 / 8222.7) × 100 = 89.8%", "Step 5: Determine if on route (typically < 10% detour)", " 89.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 52.30273, "lon": -0.69446, "name": "Wellingborough" }, "end": { "lat": -11.9, "lon": 33.6, "name": "Mzimba" }, "waypoint": { "lat": 6.33815, "lon": 5.62575, "name": "Benin City" }, "question": "Is Benin City approximately on the direct path from Wellingborough to Mzimba?", "ground_truth": { "answer": false, "direct_distance_km": 7857.1, "via_waypoint_km": 8842.7, "detour_km": 985.6, "detour_percent": 12.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Wellingborough", " End: Mzimba", " Waypoint: Benin City", "Step 2: Calculate direct distance", " Start → End: 7857.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 8842.7 km", "Step 4: Calculate detour", " Detour = 8842.7 - 7857.1 = 985.6 km", " Detour % = (985.6 / 7857.1) × 100 = 12.5%", "Step 5: Determine if on route (typically < 10% detour)", " 12.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 5.71681, "lon": 100.65819, "name": "Teloi Kanan" }, "end": { "lat": 10.53589, "lon": 106.41366, "name": "Tân An" }, "waypoint": { "lat": -24.95775, "lon": 27.26543, "name": "Northam" }, "question": "Is Northam approximately on the direct path from Teloi Kanan to Tân An?", "ground_truth": { "answer": false, "direct_distance_km": 829.6, "via_waypoint_km": 18051.0, "detour_km": 17221.3, "detour_percent": 2075.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Teloi Kanan", " End: Tân An", " Waypoint: Northam", "Step 2: Calculate direct distance", " Start → End: 829.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18051.0 km", "Step 4: Calculate detour", " Detour = 18051.0 - 829.6 = 17221.3 km", " Detour % = (17221.3 / 829.6) × 100 = 2075.8%", "Step 5: Determine if on route (typically < 10% detour)", " 2075.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -23.49283, "lon": -46.66916, "name": "Limão" }, "end": { "lat": 41.70011, "lon": -70.29947, "name": "Barnstable" }, "waypoint": { "lat": 20.86481, "lon": 106.68345, "name": "Haiphong" }, "question": "Is Haiphong approximately on the direct path from Limão to Barnstable?", "ground_truth": { "answer": false, "direct_distance_km": 7646.6, "via_waypoint_km": 30310.9, "detour_km": 22664.3, "detour_percent": 296.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Limão", " End: Barnstable", " Waypoint: Haiphong", "Step 2: Calculate direct distance", " Start → End: 7646.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 30310.9 km", "Step 4: Calculate detour", " Detour = 30310.9 - 7646.6 = 22664.3 km", " Detour % = (22664.3 / 7646.6) × 100 = 296.4%", "Step 5: Determine if on route (typically < 10% detour)", " 296.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 10.58964, "lon": 39.43767, "name": "Were Īlu" }, "end": { "lat": 39.22935, "lon": 9.25004, "name": "Quartu Sant'Elena" }, "waypoint": { "lat": 26.52535, "lon": -80.06643, "name": "Boynton Beach" }, "question": "Is Boynton Beach approximately on the direct path from Were Īlu to Quartu Sant'Elena?", "ground_truth": { "answer": false, "direct_distance_km": 4364.4, "via_waypoint_km": 20421.2, "detour_km": 16056.8, "detour_percent": 367.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Were Īlu", " End: Quartu Sant'Elena", " Waypoint: Boynton Beach", "Step 2: Calculate direct distance", " Start → End: 4364.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20421.2 km", "Step 4: Calculate detour", " Detour = 20421.2 - 4364.4 = 16056.8 km", " Detour % = (16056.8 / 4364.4) × 100 = 367.9%", "Step 5: Determine if on route (typically < 10% detour)", " 367.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 48.39279, "lon": 10.01112, "name": "Neu-Ulm" }, "end": { "lat": -11.03194, "lon": -37.475, "name": "Salgado" }, "waypoint": { "lat": -7.17083, "lon": -35.85361, "name": "Lagoa Seca" }, "question": "Is Lagoa Seca approximately on the direct path from Neu-Ulm to Salgado?", "ground_truth": { "answer": true, "direct_distance_km": 8084.0, "via_waypoint_km": 8088.9, "detour_km": 4.9, "detour_percent": 0.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Neu-Ulm", " End: Salgado", " Waypoint: Lagoa Seca", "Step 2: Calculate direct distance", " Start → End: 8084.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 8088.9 km", "Step 4: Calculate detour", " Detour = 8088.9 - 8084.0 = 4.9 km", " Detour % = (4.9 / 8084.0) × 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": -17.72194, "lon": -48.15972, "name": "Ipameri" }, "end": { "lat": -12.60417, "lon": 13.19667, "name": "Baía Farta" }, "waypoint": { "lat": 36.45606, "lon": 10.73763, "name": "Nabeul" }, "question": "Is Nabeul approximately on the direct path from Ipameri to Baía Farta?", "ground_truth": { "answer": false, "direct_distance_km": 6582.8, "via_waypoint_km": 14089.0, "detour_km": 7506.2, "detour_percent": 114.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ipameri", " End: Baía Farta", " Waypoint: Nabeul", "Step 2: Calculate direct distance", " Start → End: 6582.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14089.0 km", "Step 4: Calculate detour", " Detour = 14089.0 - 6582.8 = 7506.2 km", " Detour % = (7506.2 / 6582.8) × 100 = 114.0%", "Step 5: Determine if on route (typically < 10% detour)", " 114.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 44.03541, "lon": 10.13927, "name": "Massa" }, "end": { "lat": 40.84472, "lon": 69.59833, "name": "Olmaliq" }, "waypoint": { "lat": 4.03078, "lon": -74.9701, "name": "Guamo" }, "question": "Is Guamo approximately on the direct path from Massa to Olmaliq?", "ground_truth": { "answer": false, "direct_distance_km": 4785.0, "via_waypoint_km": 23168.3, "detour_km": 18383.3, "detour_percent": 384.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Massa", " End: Olmaliq", " Waypoint: Guamo", "Step 2: Calculate direct distance", " Start → End: 4785.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23168.3 km", "Step 4: Calculate detour", " Detour = 23168.3 - 4785.0 = 18383.3 km", " Detour % = (18383.3 / 4785.0) × 100 = 384.2%", "Step 5: Determine if on route (typically < 10% detour)", " 384.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 7.8375, "lon": -72.22794, "name": "Palmira" }, "end": { "lat": 10.05692, "lon": -12.86576, "name": "Kindia" }, "waypoint": { "lat": 23.16903, "lon": 72.82161, "name": "Dahegām" }, "question": "Is Dahegām approximately on the direct path from Palmira to Kindia?", "ground_truth": { "answer": false, "direct_distance_km": 6516.8, "via_waypoint_km": 24017.5, "detour_km": 17500.7, "detour_percent": 268.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Palmira", " End: Kindia", " Waypoint: Dahegām", "Step 2: Calculate direct distance", " Start → End: 6516.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24017.5 km", "Step 4: Calculate detour", " Detour = 24017.5 - 6516.8 = 17500.7 km", " Detour % = (17500.7 / 6516.8) × 100 = 268.5%", "Step 5: Determine if on route (typically < 10% detour)", " 268.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 10.1624, "lon": 123.7076, "name": "San Fernando" }, "end": { "lat": 33.38291, "lon": 71.33733, "name": "Lachi" }, "waypoint": { "lat": 34.05779, "lon": -118.30091, "name": "Koreatown" }, "question": "Is Koreatown approximately on the direct path from San Fernando to Lachi?", "ground_truth": { "answer": false, "direct_distance_km": 5916.5, "via_waypoint_km": 24290.5, "detour_km": 18374.0, "detour_percent": 310.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: San Fernando", " End: Lachi", " Waypoint: Koreatown", "Step 2: Calculate direct distance", " Start → End: 5916.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24290.5 km", "Step 4: Calculate detour", " Detour = 24290.5 - 5916.5 = 18374.0 km", " Detour % = (18374.0 / 5916.5) × 100 = 310.6%", "Step 5: Determine if on route (typically < 10% detour)", " 310.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 4.6363, "lon": 9.4469, "name": "Kumba" }, "end": { "lat": 45.25258, "lon": 77.98284, "name": "Ushtobe" }, "waypoint": { "lat": 20.81692, "lon": -102.76347, "name": "Tepatitlán de Morelos" }, "question": "Is Tepatitlán de Morelos approximately on the direct path from Kumba to Ushtobe?", "ground_truth": { "answer": false, "direct_distance_km": 7971.5, "via_waypoint_km": 24774.1, "detour_km": 16802.6, "detour_percent": 210.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kumba", " End: Ushtobe", " Waypoint: Tepatitlán de Morelos", "Step 2: Calculate direct distance", " Start → End: 7971.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24774.1 km", "Step 4: Calculate detour", " Detour = 24774.1 - 7971.5 = 16802.6 km", " Detour % = (16802.6 / 7971.5) × 100 = 210.8%", "Step 5: Determine if on route (typically < 10% detour)", " 210.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 21.03929, "lon": 105.76659, "name": "Cầu Diễn" }, "end": { "lat": 63.19309, "lon": 75.43728, "name": "Noyabrsk" }, "waypoint": { "lat": -17.78629, "lon": -63.18117, "name": "Santa Cruz de la Sierra" }, "question": "Is Santa Cruz de la Sierra approximately on the direct path from Cầu Diễn to Noyabrsk?", "ground_truth": { "answer": false, "direct_distance_km": 5211.0, "via_waypoint_km": 32867.6, "detour_km": 27656.7, "detour_percent": 530.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Cầu Diễn", " End: Noyabrsk", " Waypoint: Santa Cruz de la Sierra", "Step 2: Calculate direct distance", " Start → End: 5211.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 32867.6 km", "Step 4: Calculate detour", " Detour = 32867.6 - 5211.0 = 27656.7 km", " Detour % = (27656.7 / 5211.0) × 100 = 530.7%", "Step 5: Determine if on route (typically < 10% detour)", " 530.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 20.45, "lon": 106.34002, "name": "Thái Bình" }, "end": { "lat": 51.65896, "lon": -3.44885, "name": "Rhondda" }, "waypoint": { "lat": -33.95222, "lon": 150.89949, "name": "Casula" }, "question": "Is Casula approximately on the direct path from Thái Bình to Rhondda?", "ground_truth": { "answer": false, "direct_distance_km": 9514.9, "via_waypoint_km": 24840.1, "detour_km": 15325.3, "detour_percent": 161.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Thái Bình", " End: Rhondda", " Waypoint: Casula", "Step 2: Calculate direct distance", " Start → End: 9514.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24840.1 km", "Step 4: Calculate detour", " Detour = 24840.1 - 9514.9 = 15325.3 km", " Detour % = (15325.3 / 9514.9) × 100 = 161.1%", "Step 5: Determine if on route (typically < 10% detour)", " 161.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 21.26667, "lon": 106.13333, "name": "Việt Yên" }, "end": { "lat": -19.16667, "lon": 46.73333, "name": "Soavinandriana" }, "waypoint": { "lat": 32.74255, "lon": -117.03142, "name": "Lemon Grove" }, "question": "Is Lemon Grove approximately on the direct path from Việt Yên to Soavinandriana?", "ground_truth": { "answer": false, "direct_distance_km": 7871.7, "via_waypoint_km": 30264.2, "detour_km": 22392.5, "detour_percent": 284.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Việt Yên", " End: Soavinandriana", " Waypoint: Lemon Grove", "Step 2: Calculate direct distance", " Start → End: 7871.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 30264.2 km", "Step 4: Calculate detour", " Detour = 30264.2 - 7871.7 = 22392.5 km", " Detour % = (22392.5 / 7871.7) × 100 = 284.5%", "Step 5: Determine if on route (typically < 10% detour)", " 284.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -10.64389, "lon": -51.56889, "name": "Confresa" }, "end": { "lat": 41.89316, "lon": -70.91115, "name": "Middleborough" }, "waypoint": { "lat": 37.9577, "lon": -121.29078, "name": "Stockton" }, "question": "Is Stockton approximately on the direct path from Confresa to Middleborough?", "ground_truth": { "answer": false, "direct_distance_km": 6167.1, "via_waypoint_km": 13272.8, "detour_km": 7105.8, "detour_percent": 115.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Confresa", " End: Middleborough", " Waypoint: Stockton", "Step 2: Calculate direct distance", " Start → End: 6167.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13272.8 km", "Step 4: Calculate detour", " Detour = 13272.8 - 6167.1 = 7105.8 km", " Detour % = (7105.8 / 6167.1) × 100 = 115.2%", "Step 5: Determine if on route (typically < 10% detour)", " 115.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 36.06488, "lon": 120.38042, "name": "Qingdao" }, "end": { "lat": -11.51056, "lon": -38.15, "name": "Crisópolis" }, "waypoint": { "lat": 0.36788, "lon": 32.9376, "name": "Lugazi" }, "question": "Is Lugazi approximately on the direct path from Qingdao to Crisópolis?", "ground_truth": { "answer": true, "direct_distance_km": 16536.5, "via_waypoint_km": 17710.7, "detour_km": 1174.2, "detour_percent": 7.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Qingdao", " End: Crisópolis", " Waypoint: Lugazi", "Step 2: Calculate direct distance", " Start → End: 16536.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17710.7 km", "Step 4: Calculate detour", " Detour = 17710.7 - 16536.5 = 1174.2 km", " Detour % = (1174.2 / 16536.5) × 100 = 7.1%", "Step 5: Determine if on route (typically < 10% detour)", " 7.1% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 14.25054, "lon": -5.98679, "name": "Niono" }, "end": { "lat": 51.11721, "lon": 8.06707, "name": "Lennestadt" }, "waypoint": { "lat": 49.15964, "lon": 5.3829, "name": "Verdun" }, "question": "Is Verdun approximately on the direct path from Niono to Lennestadt?", "ground_truth": { "answer": true, "direct_distance_km": 4289.0, "via_waypoint_km": 4307.9, "detour_km": 18.8, "detour_percent": 0.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Niono", " End: Lennestadt", " Waypoint: Verdun", "Step 2: Calculate direct distance", " Start → End: 4289.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 4307.9 km", "Step 4: Calculate detour", " Detour = 4307.9 - 4289.0 = 18.8 km", " Detour % = (18.8 / 4289.0) × 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": 33.72871, "lon": -5.01092, "name": "Imouzzer Kandar" }, "end": { "lat": 36.56463, "lon": 3.5933, "name": "Lakhdaria" }, "waypoint": { "lat": -27.63461, "lon": -52.2754, "name": "Erechim" }, "question": "Is Erechim approximately on the direct path from Imouzzer Kandar to Lakhdaria?", "ground_truth": { "answer": false, "direct_distance_km": 843.1, "via_waypoint_km": 17669.7, "detour_km": 16826.6, "detour_percent": 1995.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Imouzzer Kandar", " End: Lakhdaria", " Waypoint: Erechim", "Step 2: Calculate direct distance", " Start → End: 843.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17669.7 km", "Step 4: Calculate detour", " Detour = 17669.7 - 843.1 = 16826.6 km", " Detour % = (16826.6 / 843.1) × 100 = 1995.9%", "Step 5: Determine if on route (typically < 10% detour)", " 1995.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 25.74593, "lon": -80.3045, "name": "Coral Terrace" }, "end": { "lat": 43.15478, "lon": -77.61556, "name": "Rochester" }, "waypoint": { "lat": -4.23333, "lon": 35.41667, "name": "Bashanet" }, "question": "Is Bashanet approximately on the direct path from Coral Terrace to Rochester?", "ground_truth": { "answer": false, "direct_distance_km": 1951.1, "via_waypoint_km": 24967.2, "detour_km": 23016.1, "detour_percent": 1179.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Coral Terrace", " End: Rochester", " Waypoint: Bashanet", "Step 2: Calculate direct distance", " Start → End: 1951.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24967.2 km", "Step 4: Calculate detour", " Detour = 24967.2 - 1951.1 = 23016.1 km", " Detour % = (23016.1 / 1951.1) × 100 = 1179.6%", "Step 5: Determine if on route (typically < 10% detour)", " 1179.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -20.72523, "lon": 139.49727, "name": "Mount Isa" }, "end": { "lat": 13.51777, "lon": 144.8391, "name": "Dededo Village" }, "waypoint": { "lat": 44.1494, "lon": 43.47019, "name": "Georgiyevsk" }, "question": "Is Georgiyevsk approximately on the direct path from Mount Isa to Dededo Village?", "ground_truth": { "answer": false, "direct_distance_km": 3852.1, "via_waypoint_km": 21908.7, "detour_km": 18056.6, "detour_percent": 468.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Mount Isa", " End: Dededo Village", " Waypoint: Georgiyevsk", "Step 2: Calculate direct distance", " Start → End: 3852.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21908.7 km", "Step 4: Calculate detour", " Detour = 21908.7 - 3852.1 = 18056.6 km", " Detour % = (18056.6 / 3852.1) × 100 = 468.7%", "Step 5: Determine if on route (typically < 10% detour)", " 468.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 51.36217, "lon": -0.09421, "name": "South Croydon" }, "end": { "lat": 22.95998, "lon": 88.42849, "name": "Kānchrāpāra" }, "waypoint": { "lat": 8.79577, "lon": -75.69947, "name": "San Carlos" }, "question": "Is San Carlos approximately on the direct path from South Croydon to Kānchrāpāra?", "ground_truth": { "answer": false, "direct_distance_km": 7935.5, "via_waypoint_km": 24331.0, "detour_km": 16395.5, "detour_percent": 206.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: South Croydon", " End: Kānchrāpāra", " Waypoint: San Carlos", "Step 2: Calculate direct distance", " Start → End: 7935.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24331.0 km", "Step 4: Calculate detour", " Detour = 24331.0 - 7935.5 = 16395.5 km", " Detour % = (16395.5 / 7935.5) × 100 = 206.6%", "Step 5: Determine if on route (typically < 10% detour)", " 206.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 30.42103, "lon": -87.30747, "name": "Myrtle Grove" }, "end": { "lat": 40.45927, "lon": -74.36098, "name": "Sayreville" }, "waypoint": { "lat": 7.15181, "lon": 0.47362, "name": "Hohoe" }, "question": "Is Hohoe approximately on the direct path from Myrtle Grove to Sayreville?", "ground_truth": { "answer": false, "direct_distance_km": 1615.7, "via_waypoint_km": 17604.8, "detour_km": 15989.0, "detour_percent": 989.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Myrtle Grove", " End: Sayreville", " Waypoint: Hohoe", "Step 2: Calculate direct distance", " Start → End: 1615.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17604.8 km", "Step 4: Calculate detour", " Detour = 17604.8 - 1615.7 = 15989.0 km", " Detour % = (15989.0 / 1615.7) × 100 = 989.6%", "Step 5: Determine if on route (typically < 10% detour)", " 989.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 39.14511, "lon": -76.90025, "name": "Scaggsville" }, "end": { "lat": 2.8033, "lon": 101.7972, "name": "Kampung Baharu Nilai" }, "waypoint": { "lat": -33.95222, "lon": 150.89949, "name": "Casula" }, "question": "Is Casula approximately on the direct path from Scaggsville to Kampung Baharu Nilai?", "ground_truth": { "answer": false, "direct_distance_km": 15348.7, "via_waypoint_km": 22315.5, "detour_km": 6966.8, "detour_percent": 45.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Scaggsville", " End: Kampung Baharu Nilai", " Waypoint: Casula", "Step 2: Calculate direct distance", " Start → End: 15348.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22315.5 km", "Step 4: Calculate detour", " Detour = 22315.5 - 15348.7 = 6966.8 km", " Detour % = (6966.8 / 15348.7) × 100 = 45.4%", "Step 5: Determine if on route (typically < 10% detour)", " 45.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -38.03333, "lon": 145.3, "name": "Narre Warren" }, "end": { "lat": -15.727, "lon": 12.94961, "name": "Virei" }, "waypoint": { "lat": -34.05274, "lon": 23.3716, "name": "Plettenberg Bay" }, "question": "Is Plettenberg Bay approximately on the direct path from Narre Warren to Virei?", "ground_truth": { "answer": true, "direct_distance_km": 12243.1, "via_waypoint_km": 12297.7, "detour_km": 54.6, "detour_percent": 0.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Narre Warren", " End: Virei", " Waypoint: Plettenberg Bay", "Step 2: Calculate direct distance", " Start → End: 12243.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12297.7 km", "Step 4: Calculate detour", " Detour = 12297.7 - 12243.1 = 54.6 km", " Detour % = (54.6 / 12243.1) × 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": -23.10417, "lon": -55.22583, "name": "Amambai" }, "end": { "lat": 46.17185, "lon": 1.87166, "name": "Guéret" }, "waypoint": { "lat": 40.81538, "lon": -73.04511, "name": "Holtsville" }, "question": "Is Holtsville approximately on the direct path from Amambai to Guéret?", "ground_truth": { "answer": false, "direct_distance_km": 9606.5, "via_waypoint_km": 13186.8, "detour_km": 3580.4, "detour_percent": 37.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Amambai", " End: Guéret", " Waypoint: Holtsville", "Step 2: Calculate direct distance", " Start → End: 9606.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13186.8 km", "Step 4: Calculate detour", " Detour = 13186.8 - 9606.5 = 3580.4 km", " Detour % = (3580.4 / 9606.5) × 100 = 37.3%", "Step 5: Determine if on route (typically < 10% detour)", " 37.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 33.19587, "lon": -117.37948, "name": "Oceanside" }, "end": { "lat": 29.46079, "lon": -95.05132, "name": "Dickinson" }, "waypoint": { "lat": 1.67439, "lon": 109.85171, "name": "Lundu" }, "question": "Is Lundu approximately on the direct path from Oceanside to Dickinson?", "ground_truth": { "answer": false, "direct_distance_km": 2156.7, "via_waypoint_km": 29390.0, "detour_km": 27233.3, "detour_percent": 1262.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Oceanside", " End: Dickinson", " Waypoint: Lundu", "Step 2: Calculate direct distance", " Start → End: 2156.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 29390.0 km", "Step 4: Calculate detour", " Detour = 29390.0 - 2156.7 = 27233.3 km", " Detour % = (27233.3 / 2156.7) × 100 = 1262.7%", "Step 5: Determine if on route (typically < 10% detour)", " 1262.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 34.40731, "lon": -2.89732, "name": "Taourirt" }, "end": { "lat": 14.43379, "lon": 121.02231, "name": "Banco Filipino Homes" }, "waypoint": { "lat": -32.74976, "lon": -70.72584, "name": "San Felipe" }, "question": "Is San Felipe approximately on the direct path from Taourirt to Banco Filipino Homes?", "ground_truth": { "answer": false, "direct_distance_km": 11982.3, "via_waypoint_km": 27943.8, "detour_km": 15961.5, "detour_percent": 133.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Taourirt", " End: Banco Filipino Homes", " Waypoint: San Felipe", "Step 2: Calculate direct distance", " Start → End: 11982.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 27943.8 km", "Step 4: Calculate detour", " Detour = 27943.8 - 11982.3 = 15961.5 km", " Detour % = (15961.5 / 11982.3) × 100 = 133.2%", "Step 5: Determine if on route (typically < 10% detour)", " 133.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 42.0751, "lon": -72.03341, "name": "Southbridge" }, "end": { "lat": -32.88946, "lon": -68.84582, "name": "Mendoza" }, "waypoint": { "lat": 38.44451, "lon": -9.10149, "name": "Sesimbra" }, "question": "Is Sesimbra approximately on the direct path from Southbridge to Mendoza?", "ground_truth": { "answer": false, "direct_distance_km": 8342.0, "via_waypoint_km": 15280.6, "detour_km": 6938.6, "detour_percent": 83.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Southbridge", " End: Mendoza", " Waypoint: Sesimbra", "Step 2: Calculate direct distance", " Start → End: 8342.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15280.6 km", "Step 4: Calculate detour", " Detour = 15280.6 - 8342.0 = 6938.6 km", " Detour % = (6938.6 / 8342.0) × 100 = 83.2%", "Step 5: Determine if on route (typically < 10% detour)", " 83.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 38.14535, "lon": -85.8583, "name": "Pleasure Ridge Park" }, "end": { "lat": 40.46276, "lon": -3.67813, "name": "Nueva España" }, "waypoint": { "lat": 6.4788, "lon": 79.9828, "name": "Beruwala" }, "question": "Is Beruwala approximately on the direct path from Pleasure Ridge Park to Nueva España?", "ground_truth": { "answer": false, "direct_distance_km": 6801.6, "via_waypoint_km": 23846.5, "detour_km": 17044.9, "detour_percent": 250.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Pleasure Ridge Park", " End: Nueva España", " Waypoint: Beruwala", "Step 2: Calculate direct distance", " Start → End: 6801.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23846.5 km", "Step 4: Calculate detour", " Detour = 23846.5 - 6801.6 = 17044.9 km", " Detour % = (17044.9 / 6801.6) × 100 = 250.6%", "Step 5: Determine if on route (typically < 10% detour)", " 250.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -15.77972, "lon": -47.92972, "name": "Brasília" }, "end": { "lat": -28.51778, "lon": -49.32083, "name": "Urussanga" }, "waypoint": { "lat": 51.61759, "lon": 15.31486, "name": "Żagań" }, "question": "Is Żagań approximately on the direct path from Brasília to Urussanga?", "ground_truth": { "answer": false, "direct_distance_km": 1423.6, "via_waypoint_km": 20557.7, "detour_km": 19134.1, "detour_percent": 1344.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Brasília", " End: Urussanga", " Waypoint: Żagań", "Step 2: Calculate direct distance", " Start → End: 1423.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20557.7 km", "Step 4: Calculate detour", " Detour = 20557.7 - 1423.6 = 19134.1 km", " Detour % = (19134.1 / 1423.6) × 100 = 1344.1%", "Step 5: Determine if on route (typically < 10% detour)", " 1344.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 50.82763, "lon": 4.34389, "name": "Saint-Gilles" }, "end": { "lat": 45.51675, "lon": -73.64918, "name": "Mont-Royal" }, "waypoint": { "lat": -6.15, "lon": 36.86667, "name": "Geiro" }, "question": "Is Geiro approximately on the direct path from Saint-Gilles to Mont-Royal?", "ground_truth": { "answer": false, "direct_distance_km": 5539.8, "via_waypoint_km": 19145.6, "detour_km": 13605.8, "detour_percent": 245.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Saint-Gilles", " End: Mont-Royal", " Waypoint: Geiro", "Step 2: Calculate direct distance", " Start → End: 5539.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19145.6 km", "Step 4: Calculate detour", " Detour = 19145.6 - 5539.8 = 13605.8 km", " Detour % = (13605.8 / 5539.8) × 100 = 245.6%", "Step 5: Determine if on route (typically < 10% detour)", " 245.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 50.87959, "lon": 4.70093, "name": "Leuven" }, "end": { "lat": 41.17289, "lon": -8.59931, "name": "Paranhos" }, "waypoint": { "lat": 34.06635, "lon": -84.67837, "name": "Acworth" }, "question": "Is Acworth approximately on the direct path from Leuven to Paranhos?", "ground_truth": { "answer": false, "direct_distance_km": 1485.4, "via_waypoint_km": 13635.8, "detour_km": 12150.5, "detour_percent": 818.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Leuven", " End: Paranhos", " Waypoint: Acworth", "Step 2: Calculate direct distance", " Start → End: 1485.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13635.8 km", "Step 4: Calculate detour", " Detour = 13635.8 - 1485.4 = 12150.5 km", " Detour % = (12150.5 / 1485.4) × 100 = 818.0%", "Step 5: Determine if on route (typically < 10% detour)", " 818.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 51.75905, "lon": -1.59435, "name": "Carterton" }, "end": { "lat": 1.79112, "lon": -78.79275, "name": "Tumaco" }, "waypoint": { "lat": 37.41088, "lon": -94.70496, "name": "Pittsburg" }, "question": "Is Pittsburg approximately on the direct path from Carterton to Tumaco?", "ground_truth": { "answer": false, "direct_distance_km": 8973.3, "via_waypoint_km": 11312.7, "detour_km": 2339.4, "detour_percent": 26.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Carterton", " End: Tumaco", " Waypoint: Pittsburg", "Step 2: Calculate direct distance", " Start → End: 8973.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 11312.7 km", "Step 4: Calculate detour", " Detour = 11312.7 - 8973.3 = 2339.4 km", " Detour % = (2339.4 / 8973.3) × 100 = 26.1%", "Step 5: Determine if on route (typically < 10% detour)", " 26.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 27.91582, "lon": 34.32995, "name": "Sharm el-Sheikh" }, "end": { "lat": 50.5107, "lon": 18.30056, "name": "Strzelce Opolskie" }, "waypoint": { "lat": -26.48611, "lon": -49.06667, "name": "Jaraguá do Sul" }, "question": "Is Jaraguá do Sul approximately on the direct path from Sharm el-Sheikh to Strzelce Opolskie?", "ground_truth": { "answer": false, "direct_distance_km": 2853.0, "via_waypoint_km": 21567.0, "detour_km": 18714.0, "detour_percent": 655.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Sharm el-Sheikh", " End: Strzelce Opolskie", " Waypoint: Jaraguá do Sul", "Step 2: Calculate direct distance", " Start → End: 2853.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21567.0 km", "Step 4: Calculate detour", " Detour = 21567.0 - 2853.0 = 18714.0 km", " Detour % = (18714.0 / 2853.0) × 100 = 655.9%", "Step 5: Determine if on route (typically < 10% detour)", " 655.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 37.48974, "lon": 71.55304, "name": "Khorugh" }, "end": { "lat": 29.66301, "lon": -95.23549, "name": "South Houston" }, "waypoint": { "lat": 6.53445, "lon": 2.66833, "name": "Adjarra" }, "question": "Is Adjarra approximately on the direct path from Khorugh to South Houston?", "ground_truth": { "answer": false, "direct_distance_km": 12422.4, "via_waypoint_km": 18112.7, "detour_km": 5690.3, "detour_percent": 45.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Khorugh", " End: South Houston", " Waypoint: Adjarra", "Step 2: Calculate direct distance", " Start → End: 12422.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18112.7 km", "Step 4: Calculate detour", " Detour = 18112.7 - 12422.4 = 5690.3 km", " Detour % = (5690.3 / 12422.4) × 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": 49.58333, "lon": 3.0, "name": "Noyon" }, "end": { "lat": 13.40417, "lon": -16.65583, "name": "Abuko" }, "waypoint": { "lat": -36.75818, "lon": 144.28024, "name": "Bendigo" }, "question": "Is Bendigo approximately on the direct path from Noyon to Abuko?", "ground_truth": { "answer": false, "direct_distance_km": 4404.2, "via_waypoint_km": 33414.1, "detour_km": 29009.9, "detour_percent": 658.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Noyon", " End: Abuko", " Waypoint: Bendigo", "Step 2: Calculate direct distance", " Start → End: 4404.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 33414.1 km", "Step 4: Calculate detour", " Detour = 33414.1 - 4404.2 = 29009.9 km", " Detour % = (29009.9 / 4404.2) × 100 = 658.7%", "Step 5: Determine if on route (typically < 10% detour)", " 658.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 7.53333, "lon": 1.13333, "name": "Atakpamé" }, "end": { "lat": 50.68568, "lon": 2.88214, "name": "Armentières" }, "waypoint": { "lat": -31.09048, "lon": 150.92905, "name": "Tamworth" }, "question": "Is Tamworth approximately on the direct path from Atakpamé to Armentières?", "ground_truth": { "answer": false, "direct_distance_km": 4801.0, "via_waypoint_km": 32532.0, "detour_km": 27730.9, "detour_percent": 577.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Atakpamé", " End: Armentières", " Waypoint: Tamworth", "Step 2: Calculate direct distance", " Start → End: 4801.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 32532.0 km", "Step 4: Calculate detour", " Detour = 32532.0 - 4801.0 = 27730.9 km", " Detour % = (27730.9 / 4801.0) × 100 = 577.6%", "Step 5: Determine if on route (typically < 10% detour)", " 577.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -37.90561, "lon": 145.00279, "name": "Brighton" }, "end": { "lat": -13.23251, "lon": 30.23522, "name": "Serenje" }, "waypoint": { "lat": 36.41667, "lon": 118.5, "name": "Yeyuan" }, "question": "Is Yeyuan approximately on the direct path from Brighton to Serenje?", "ground_truth": { "answer": false, "direct_distance_km": 11168.0, "via_waypoint_km": 19425.6, "detour_km": 8257.6, "detour_percent": 73.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Brighton", " End: Serenje", " Waypoint: Yeyuan", "Step 2: Calculate direct distance", " Start → End: 11168.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19425.6 km", "Step 4: Calculate detour", " Detour = 19425.6 - 11168.0 = 8257.6 km", " Detour % = (8257.6 / 11168.0) × 100 = 73.9%", "Step 5: Determine if on route (typically < 10% detour)", " 73.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 44.82774, "lon": -92.94382, "name": "Cottage Grove" }, "end": { "lat": -37.8676, "lon": 144.98099, "name": "Saint Kilda" }, "waypoint": { "lat": -13.12556, "lon": 38.99972, "name": "Montepuez" }, "question": "Is Montepuez approximately on the direct path from Cottage Grove to Saint Kilda?", "ground_truth": { "answer": false, "direct_distance_km": 15221.6, "via_waypoint_km": 24750.8, "detour_km": 9529.1, "detour_percent": 62.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Cottage Grove", " End: Saint Kilda", " Waypoint: Montepuez", "Step 2: Calculate direct distance", " Start → End: 15221.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24750.8 km", "Step 4: Calculate detour", " Detour = 24750.8 - 15221.6 = 9529.1 km", " Detour % = (9529.1 / 15221.6) × 100 = 62.6%", "Step 5: Determine if on route (typically < 10% detour)", " 62.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 49.59786, "lon": 8.4725, "name": "Lampertheim" }, "end": { "lat": -26.16139, "lon": -51.5525, "name": "Bituruna" }, "waypoint": { "lat": 15.0956, "lon": 120.8267, "name": "Candaba" }, "question": "Is Candaba approximately on the direct path from Lampertheim to Bituruna?", "ground_truth": { "answer": false, "direct_distance_km": 10295.0, "via_waypoint_km": 28812.6, "detour_km": 18517.7, "detour_percent": 179.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Lampertheim", " End: Bituruna", " Waypoint: Candaba", "Step 2: Calculate direct distance", " Start → End: 10295.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 28812.6 km", "Step 4: Calculate detour", " Detour = 28812.6 - 10295.0 = 18517.7 km", " Detour % = (18517.7 / 10295.0) × 100 = 179.9%", "Step 5: Determine if on route (typically < 10% detour)", " 179.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 33.96168, "lon": -118.35313, "name": "Inglewood" }, "end": { "lat": 35.68698, "lon": -105.9378, "name": "Santa Fe" }, "waypoint": { "lat": -4.12891, "lon": 104.16695, "name": "Baturaja" }, "question": "Is Baturaja approximately on the direct path from Inglewood to Santa Fe?", "ground_truth": { "answer": false, "direct_distance_km": 1148.6, "via_waypoint_km": 29857.1, "detour_km": 28708.5, "detour_percent": 2499.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Inglewood", " End: Santa Fe", " Waypoint: Baturaja", "Step 2: Calculate direct distance", " Start → End: 1148.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 29857.1 km", "Step 4: Calculate detour", " Detour = 29857.1 - 1148.6 = 28708.5 km", " Detour % = (28708.5 / 1148.6) × 100 = 2499.5%", "Step 5: Determine if on route (typically < 10% detour)", " 2499.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 54.99721, "lon": -7.30917, "name": "Londonderry County Borough" }, "end": { "lat": 40.70621, "lon": -73.30623, "name": "West Islip" }, "waypoint": { "lat": 33.47097, "lon": -81.97484, "name": "Augusta" }, "question": "Is Augusta approximately on the direct path from Londonderry County Borough to West Islip?", "ground_truth": { "answer": false, "direct_distance_km": 4967.7, "via_waypoint_km": 7190.7, "detour_km": 2223.0, "detour_percent": 44.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Londonderry County Borough", " End: West Islip", " Waypoint: Augusta", "Step 2: Calculate direct distance", " Start → End: 4967.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 7190.7 km", "Step 4: Calculate detour", " Detour = 7190.7 - 4967.7 = 2223.0 km", " Detour % = (2223.0 / 4967.7) × 100 = 44.7%", "Step 5: Determine if on route (typically < 10% detour)", " 44.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 49.90436, "lon": 16.44413, "name": "Česká Třebová" }, "end": { "lat": 48.43476, "lon": 0.09311, "name": "Alençon" }, "waypoint": { "lat": 53.82824, "lon": 22.36469, "name": "Ełk" }, "question": "Is Ełk approximately on the direct path from Česká Třebová to Alençon?", "ground_truth": { "answer": false, "direct_distance_km": 1197.5, "via_waypoint_km": 2253.2, "detour_km": 1055.7, "detour_percent": 88.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Česká Třebová", " End: Alençon", " Waypoint: Ełk", "Step 2: Calculate direct distance", " Start → End: 1197.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 2253.2 km", "Step 4: Calculate detour", " Detour = 2253.2 - 1197.5 = 1055.7 km", " Detour % = (1055.7 / 1197.5) × 100 = 88.2%", "Step 5: Determine if on route (typically < 10% detour)", " 88.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 50.3836, "lon": 8.0503, "name": "Limburg an der Lahn" }, "end": { "lat": 28.41124, "lon": 77.31316, "name": "Faridabad" }, "waypoint": { "lat": 34.80194, "lon": 10.76361, "name": "Sakiet ez Zit" }, "question": "Is Sakiet ez Zit approximately on the direct path from Limburg an der Lahn to Faridabad?", "ground_truth": { "answer": false, "direct_distance_km": 6181.4, "via_waypoint_km": 7975.1, "detour_km": 1793.7, "detour_percent": 29.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Limburg an der Lahn", " End: Faridabad", " Waypoint: Sakiet ez Zit", "Step 2: Calculate direct distance", " Start → End: 6181.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 7975.1 km", "Step 4: Calculate detour", " Detour = 7975.1 - 6181.4 = 1793.7 km", " Detour % = (1793.7 / 6181.4) × 100 = 29.0%", "Step 5: Determine if on route (typically < 10% detour)", " 29.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 42.15843, "lon": -71.14477, "name": "Canton" }, "end": { "lat": 45.68861, "lon": 21.90306, "name": "Lugoj" }, "waypoint": { "lat": 37.25482, "lon": -7.20433, "name": "Lepe" }, "question": "Is Lepe approximately on the direct path from Canton to Lugoj?", "ground_truth": { "answer": false, "direct_distance_km": 7014.3, "via_waypoint_km": 7950.8, "detour_km": 936.5, "detour_percent": 13.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Canton", " End: Lugoj", " Waypoint: Lepe", "Step 2: Calculate direct distance", " Start → End: 7014.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 7950.8 km", "Step 4: Calculate detour", " Detour = 7950.8 - 7014.3 = 936.5 km", " Detour % = (936.5 / 7014.3) × 100 = 13.4%", "Step 5: Determine if on route (typically < 10% detour)", " 13.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 51.07592, "lon": 17.72284, "name": "Namysłów" }, "end": { "lat": 24.31371, "lon": 80.97703, "name": "Amarpātan" }, "waypoint": { "lat": 20.93333, "lon": 77.75, "name": "Amravati" }, "question": "Is Amravati approximately on the direct path from Namysłów to Amarpātan?", "ground_truth": { "answer": true, "direct_distance_km": 6081.3, "via_waypoint_km": 6635.7, "detour_km": 554.4, "detour_percent": 9.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Namysłów", " End: Amarpātan", " Waypoint: Amravati", "Step 2: Calculate direct distance", " Start → End: 6081.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 6635.7 km", "Step 4: Calculate detour", " Detour = 6635.7 - 6081.3 = 554.4 km", " Detour % = (554.4 / 6081.3) × 100 = 9.1%", "Step 5: Determine if on route (typically < 10% detour)", " 9.1% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 55.84854, "lon": 37.17789, "name": "Nakhabino" }, "end": { "lat": 52.03792, "lon": 6.828, "name": "Vreden" }, "waypoint": { "lat": 17.26916, "lon": -97.68053, "name": "Heroica Ciudad de Tlaxiaco" }, "question": "Is Heroica Ciudad de Tlaxiaco approximately on the direct path from Nakhabino to Vreden?", "ground_truth": { "answer": false, "direct_distance_km": 2013.7, "via_waypoint_km": 20307.2, "detour_km": 18293.5, "detour_percent": 908.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Nakhabino", " End: Vreden", " Waypoint: Heroica Ciudad de Tlaxiaco", "Step 2: Calculate direct distance", " Start → End: 2013.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20307.2 km", "Step 4: Calculate detour", " Detour = 20307.2 - 2013.7 = 18293.5 km", " Detour % = (18293.5 / 2013.7) × 100 = 908.5%", "Step 5: Determine if on route (typically < 10% detour)", " 908.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 35.07313, "lon": -2.9423, "name": "Selouane" }, "end": { "lat": -34.4279, "lon": 150.89268, "name": "Wollongong city centre" }, "waypoint": { "lat": -23.54083, "lon": -46.36861, "name": "Ferraz de Vasconcelos" }, "question": "Is Ferraz de Vasconcelos approximately on the direct path from Selouane to Wollongong city centre?", "ground_truth": { "answer": false, "direct_distance_km": 17630.4, "via_waypoint_km": 21279.5, "detour_km": 3649.2, "detour_percent": 20.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Selouane", " End: Wollongong city centre", " Waypoint: Ferraz de Vasconcelos", "Step 2: Calculate direct distance", " Start → End: 17630.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21279.5 km", "Step 4: Calculate detour", " Detour = 21279.5 - 17630.4 = 3649.2 km", " Detour % = (3649.2 / 17630.4) × 100 = 20.7%", "Step 5: Determine if on route (typically < 10% detour)", " 20.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 40.8831, "lon": -85.49748, "name": "Huntington" }, "end": { "lat": 9.9453, "lon": -84.0669, "name": "Calle Blancos" }, "waypoint": { "lat": 7.1, "lon": 39.2, "name": "Āsasa" }, "question": "Is Āsasa approximately on the direct path from Huntington to Calle Blancos?", "ground_truth": { "answer": false, "direct_distance_km": 3443.0, "via_waypoint_km": 25712.5, "detour_km": 22269.5, "detour_percent": 646.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Huntington", " End: Calle Blancos", " Waypoint: Āsasa", "Step 2: Calculate direct distance", " Start → End: 3443.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 25712.5 km", "Step 4: Calculate detour", " Detour = 25712.5 - 3443.0 = 22269.5 km", " Detour % = (22269.5 / 3443.0) × 100 = 646.8%", "Step 5: Determine if on route (typically < 10% detour)", " 646.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 44.76306, "lon": -85.62063, "name": "Traverse City" }, "end": { "lat": 52.54734, "lon": 13.35594, "name": "Wedding" }, "waypoint": { "lat": 2.2874, "lon": 97.7884, "name": "Singkil" }, "question": "Is Singkil approximately on the direct path from Traverse City to Wedding?", "ground_truth": { "answer": false, "direct_distance_km": 6733.0, "via_waypoint_km": 24201.7, "detour_km": 17468.7, "detour_percent": 259.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Traverse City", " End: Wedding", " Waypoint: Singkil", "Step 2: Calculate direct distance", " Start → End: 6733.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24201.7 km", "Step 4: Calculate detour", " Detour = 24201.7 - 6733.0 = 17468.7 km", " Detour % = (17468.7 / 6733.0) × 100 = 259.4%", "Step 5: Determine if on route (typically < 10% detour)", " 259.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -10.9, "lon": 39.33333, "name": "Luchingu" }, "end": { "lat": 50.92149, "lon": 6.36267, "name": "Jülich" }, "waypoint": { "lat": 22.8982, "lon": 72.99282, "name": "Kathlāl" }, "question": "Is Kathlāl approximately on the direct path from Luchingu to Jülich?", "ground_truth": { "answer": false, "direct_distance_km": 7575.5, "via_waypoint_km": 11679.9, "detour_km": 4104.4, "detour_percent": 54.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Luchingu", " End: Jülich", " Waypoint: Kathlāl", "Step 2: Calculate direct distance", " Start → End: 7575.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 11679.9 km", "Step 4: Calculate detour", " Detour = 11679.9 - 7575.5 = 4104.4 km", " Detour % = (4104.4 / 7575.5) × 100 = 54.2%", "Step 5: Determine if on route (typically < 10% detour)", " 54.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 41.09822, "lon": 120.74792, "name": "Nanpiao" }, "end": { "lat": 7.71393, "lon": 3.91665, "name": "Fiditi" }, "waypoint": { "lat": -25.915, "lon": -53.47278, "name": "Ampére" }, "question": "Is Ampére approximately on the direct path from Nanpiao to Fiditi?", "ground_truth": { "answer": false, "direct_distance_km": 11609.7, "via_waypoint_km": 25479.2, "detour_km": 13869.5, "detour_percent": 119.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Nanpiao", " End: Fiditi", " Waypoint: Ampére", "Step 2: Calculate direct distance", " Start → End: 11609.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 25479.2 km", "Step 4: Calculate detour", " Detour = 25479.2 - 11609.7 = 13869.5 km", " Detour % = (13869.5 / 11609.7) × 100 = 119.5%", "Step 5: Determine if on route (typically < 10% detour)", " 119.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 22.87199, "lon": -82.42328, "name": "La Salud" }, "end": { "lat": 40.6701, "lon": -73.81902, "name": "South Ozone Park" }, "waypoint": { "lat": 22.68944, "lon": 88.44594, "name": "Madhyamgram" }, "question": "Is Madhyamgram approximately on the direct path from La Salud to South Ozone Park?", "ground_truth": { "answer": false, "direct_distance_km": 2136.9, "via_waypoint_km": 27588.4, "detour_km": 25451.5, "detour_percent": 1191.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: La Salud", " End: South Ozone Park", " Waypoint: Madhyamgram", "Step 2: Calculate direct distance", " Start → End: 2136.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 27588.4 km", "Step 4: Calculate detour", " Detour = 27588.4 - 2136.9 = 25451.5 km", " Detour % = (25451.5 / 2136.9) × 100 = 1191.0%", "Step 5: Determine if on route (typically < 10% detour)", " 1191.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 49.6069, "lon": 15.57937, "name": "Havlíčkův Brod" }, "end": { "lat": -23.18639, "lon": -46.88417, "name": "Jundiaí" }, "waypoint": { "lat": 8.87443, "lon": -75.62028, "name": "Ciénaga de Oro" }, "question": "Is Ciénaga de Oro approximately on the direct path from Havlíčkův Brod to Jundiaí?", "ground_truth": { "answer": false, "direct_distance_km": 10163.5, "via_waypoint_km": 14084.5, "detour_km": 3921.0, "detour_percent": 38.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Havlíčkův Brod", " End: Jundiaí", " Waypoint: Ciénaga de Oro", "Step 2: Calculate direct distance", " Start → End: 10163.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14084.5 km", "Step 4: Calculate detour", " Detour = 14084.5 - 10163.5 = 3921.0 km", " Detour % = (3921.0 / 10163.5) × 100 = 38.6%", "Step 5: Determine if on route (typically < 10% detour)", " 38.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 38.62275, "lon": 77.27948, "name": "Kuoshi'airike" }, "end": { "lat": 51.84034, "lon": 16.57494, "name": "Leszno" }, "waypoint": { "lat": -15.46056, "lon": -55.74972, "name": "Chapada dos Guimarães" }, "question": "Is Chapada dos Guimarães approximately on the direct path from Kuoshi'airike to Leszno?", "ground_truth": { "answer": false, "direct_distance_km": 4822.0, "via_waypoint_km": 24964.5, "detour_km": 20142.5, "detour_percent": 417.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kuoshi'airike", " End: Leszno", " Waypoint: Chapada dos Guimarães", "Step 2: Calculate direct distance", " Start → End: 4822.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24964.5 km", "Step 4: Calculate detour", " Detour = 24964.5 - 4822.0 = 20142.5 km", " Detour % = (20142.5 / 4822.0) × 100 = 417.7%", "Step 5: Determine if on route (typically < 10% detour)", " 417.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -21.8425, "lon": -43.79306, "name": "Lima Duarte" }, "end": { "lat": 28.9293, "lon": 79.70436, "name": "Sitārganj" }, "waypoint": { "lat": 19.33212, "lon": -99.21118, "name": "Magdalena Contreras" }, "question": "Is Magdalena Contreras approximately on the direct path from Lima Duarte to Sitārganj?", "ground_truth": { "answer": false, "direct_distance_km": 14336.0, "via_waypoint_km": 22213.1, "detour_km": 7877.0, "detour_percent": 54.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Lima Duarte", " End: Sitārganj", " Waypoint: Magdalena Contreras", "Step 2: Calculate direct distance", " Start → End: 14336.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22213.1 km", "Step 4: Calculate detour", " Detour = 22213.1 - 14336.0 = 7877.0 km", " Detour % = (7877.0 / 14336.0) × 100 = 54.9%", "Step 5: Determine if on route (typically < 10% detour)", " 54.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -37.92845, "lon": 145.17708, "name": "Mulgrave" }, "end": { "lat": 1.67817, "lon": -75.28466, "name": "El Doncello" }, "waypoint": { "lat": 24.88352, "lon": 90.72898, "name": "Netrakona" }, "question": "Is Netrakona approximately on the direct path from Mulgrave to El Doncello?", "ground_truth": { "answer": false, "direct_distance_km": 14250.9, "via_waypoint_km": 25699.5, "detour_km": 11448.6, "detour_percent": 80.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Mulgrave", " End: El Doncello", " Waypoint: Netrakona", "Step 2: Calculate direct distance", " Start → End: 14250.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 25699.5 km", "Step 4: Calculate detour", " Detour = 25699.5 - 14250.9 = 11448.6 km", " Detour % = (11448.6 / 14250.9) × 100 = 80.3%", "Step 5: Determine if on route (typically < 10% detour)", " 80.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -29.41328, "lon": -66.85637, "name": "La Rioja" }, "end": { "lat": 26.84345, "lon": 80.06388, "name": "Bilhaur" }, "waypoint": { "lat": 20.54875, "lon": 78.83978, "name": "Hinganghāt" }, "question": "Is Hinganghāt approximately on the direct path from La Rioja to Bilhaur?", "ground_truth": { "answer": true, "direct_distance_km": 16769.4, "via_waypoint_km": 17145.4, "detour_km": 376.0, "detour_percent": 2.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: La Rioja", " End: Bilhaur", " Waypoint: Hinganghāt", "Step 2: Calculate direct distance", " Start → End: 16769.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17145.4 km", "Step 4: Calculate detour", " Detour = 17145.4 - 16769.4 = 376.0 km", " Detour % = (376.0 / 16769.4) × 100 = 2.2%", "Step 5: Determine if on route (typically < 10% detour)", " 2.2% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -34.7574, "lon": -58.40279, "name": "Lomas de Zamora" }, "end": { "lat": 29.22254, "lon": 79.5286, "name": "Haldwani" }, "waypoint": { "lat": 23.39017, "lon": 79.0163, "name": "Deori Khās" }, "question": "Is Deori Khās approximately on the direct path from Lomas de Zamora to Haldwani?", "ground_truth": { "answer": true, "direct_distance_km": 16029.2, "via_waypoint_km": 16373.9, "detour_km": 344.7, "detour_percent": 2.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Lomas de Zamora", " End: Haldwani", " Waypoint: Deori Khās", "Step 2: Calculate direct distance", " Start → End: 16029.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16373.9 km", "Step 4: Calculate detour", " Detour = 16373.9 - 16029.2 = 344.7 km", " Detour % = (344.7 / 16029.2) × 100 = 2.2%", "Step 5: Determine if on route (typically < 10% detour)", " 2.2% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 41.89184, "lon": 48.41247, "name": "Belidzhi" }, "end": { "lat": 42.26391, "lon": -88.84427, "name": "Belvidere" }, "waypoint": { "lat": -2.92028, "lon": -39.915, "name": "Itarema" }, "question": "Is Itarema approximately on the direct path from Belidzhi to Belvidere?", "ground_truth": { "answer": false, "direct_distance_km": 9724.0, "via_waypoint_km": 17110.4, "detour_km": 7386.5, "detour_percent": 76.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Belidzhi", " End: Belvidere", " Waypoint: Itarema", "Step 2: Calculate direct distance", " Start → End: 9724.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17110.4 km", "Step 4: Calculate detour", " Detour = 17110.4 - 9724.0 = 7386.5 km", " Detour % = (7386.5 / 9724.0) × 100 = 76.0%", "Step 5: Determine if on route (typically < 10% detour)", " 76.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 50.425, "lon": 41.01595, "name": "Kalach" }, "end": { "lat": 48.68167, "lon": 2.16944, "name": "Les Ulis" }, "waypoint": { "lat": 36.54328, "lon": -119.38707, "name": "Dinuba" }, "question": "Is Dinuba approximately on the direct path from Kalach to Les Ulis?", "ground_truth": { "answer": false, "direct_distance_km": 2776.9, "via_waypoint_km": 19077.4, "detour_km": 16300.5, "detour_percent": 587.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kalach", " End: Les Ulis", " Waypoint: Dinuba", "Step 2: Calculate direct distance", " Start → End: 2776.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19077.4 km", "Step 4: Calculate detour", " Detour = 19077.4 - 2776.9 = 16300.5 km", " Detour % = (16300.5 / 2776.9) × 100 = 587.0%", "Step 5: Determine if on route (typically < 10% detour)", " 587.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 26.00281, "lon": 92.85605, "name": "Hojāi" }, "end": { "lat": 4.48333, "lon": 100.91667, "name": "Parit" }, "waypoint": { "lat": 7.83793, "lon": -72.5037, "name": "Los Patios" }, "question": "Is Los Patios approximately on the direct path from Hojāi to Parit?", "ground_truth": { "answer": false, "direct_distance_km": 2542.2, "via_waypoint_km": 34395.9, "detour_km": 31853.8, "detour_percent": 1253.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Hojāi", " End: Parit", " Waypoint: Los Patios", "Step 2: Calculate direct distance", " Start → End: 2542.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 34395.9 km", "Step 4: Calculate detour", " Detour = 34395.9 - 2542.2 = 31853.8 km", " Detour % = (31853.8 / 2542.2) × 100 = 1253.0%", "Step 5: Determine if on route (typically < 10% detour)", " 1253.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 12.2, "lon": -10.7, "name": "Sagalo" }, "end": { "lat": 43.70485, "lon": -79.38492, "name": "Mount Pleasant East" }, "waypoint": { "lat": 54.75263, "lon": 58.20137, "name": "Katav-Ivanovsk" }, "question": "Is Katav-Ivanovsk approximately on the direct path from Sagalo to Mount Pleasant East?", "ground_truth": { "answer": false, "direct_distance_km": 7365.9, "via_waypoint_km": 15910.7, "detour_km": 8544.8, "detour_percent": 116.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Sagalo", " End: Mount Pleasant East", " Waypoint: Katav-Ivanovsk", "Step 2: Calculate direct distance", " Start → End: 7365.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15910.7 km", "Step 4: Calculate detour", " Detour = 15910.7 - 7365.9 = 8544.8 km", " Detour % = (8544.8 / 7365.9) × 100 = 116.0%", "Step 5: Determine if on route (typically < 10% detour)", " 116.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 22.3138, "lon": 114.16857, "name": "Yau Ma Tei" }, "end": { "lat": -21.235, "lon": -45.75861, "name": "Campos Gerais" }, "waypoint": { "lat": 12.57858, "lon": -81.69973, "name": "San Andrés" }, "question": "Is San Andrés approximately on the direct path from Yau Ma Tei to Campos Gerais?", "ground_truth": { "answer": false, "direct_distance_km": 17940.4, "via_waypoint_km": 21202.1, "detour_km": 3261.7, "detour_percent": 18.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Yau Ma Tei", " End: Campos Gerais", " Waypoint: San Andrés", "Step 2: Calculate direct distance", " Start → End: 17940.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21202.1 km", "Step 4: Calculate detour", " Detour = 21202.1 - 17940.4 = 3261.7 km", " Detour % = (3261.7 / 17940.4) × 100 = 18.2%", "Step 5: Determine if on route (typically < 10% detour)", " 18.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -13.13667, "lon": 28.41661, "name": "Luanshya" }, "end": { "lat": 48.61612, "lon": 7.75343, "name": "Bischheim" }, "waypoint": { "lat": -27.64613, "lon": 152.85965, "name": "Redbank Plains" }, "question": "Is Redbank Plains approximately on the direct path from Luanshya to Bischheim?", "ground_truth": { "answer": false, "direct_distance_km": 7162.5, "via_waypoint_km": 28735.9, "detour_km": 21573.4, "detour_percent": 301.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Luanshya", " End: Bischheim", " Waypoint: Redbank Plains", "Step 2: Calculate direct distance", " Start → End: 7162.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 28735.9 km", "Step 4: Calculate detour", " Detour = 28735.9 - 7162.5 = 21573.4 km", " Detour % = (21573.4 / 7162.5) × 100 = 301.2%", "Step 5: Determine if on route (typically < 10% detour)", " 301.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 29.53885, "lon": -95.44744, "name": "Fresno" }, "end": { "lat": 56.946, "lon": 24.10589, "name": "Riga" }, "waypoint": { "lat": 41.36, "lon": 2.13986, "name": "la Marina de Port" }, "question": "Is la Marina de Port approximately on the direct path from Fresno to Riga?", "ground_truth": { "answer": false, "direct_distance_km": 8859.9, "via_waypoint_km": 10802.7, "detour_km": 1942.8, "detour_percent": 21.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Fresno", " End: Riga", " Waypoint: la Marina de Port", "Step 2: Calculate direct distance", " Start → End: 8859.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 10802.7 km", "Step 4: Calculate detour", " Detour = 10802.7 - 8859.9 = 1942.8 km", " Detour % = (1942.8 / 8859.9) × 100 = 21.9%", "Step 5: Determine if on route (typically < 10% detour)", " 21.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 50.39105, "lon": 24.23514, "name": "Chervonohrad" }, "end": { "lat": 34.90472, "lon": -1.03394, "name": "Ouled Mimoun" }, "waypoint": { "lat": -26.85213, "lon": 26.66672, "name": "Klerksdorp" }, "question": "Is Klerksdorp approximately on the direct path from Chervonohrad to Ouled Mimoun?", "ground_truth": { "answer": false, "direct_distance_km": 2666.8, "via_waypoint_km": 16052.0, "detour_km": 13385.2, "detour_percent": 501.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Chervonohrad", " End: Ouled Mimoun", " Waypoint: Klerksdorp", "Step 2: Calculate direct distance", " Start → End: 2666.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16052.0 km", "Step 4: Calculate detour", " Detour = 16052.0 - 2666.8 = 13385.2 km", " Detour % = (13385.2 / 2666.8) × 100 = 501.9%", "Step 5: Determine if on route (typically < 10% detour)", " 501.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 17.59728, "lon": 80.00207, "name": "Mahbūbābād" }, "end": { "lat": 44.60868, "lon": -79.42068, "name": "Orillia" }, "waypoint": { "lat": 43.48329, "lon": 44.13781, "name": "Terek" }, "question": "Is Terek approximately on the direct path from Mahbūbābād to Orillia?", "ground_truth": { "answer": true, "direct_distance_km": 12790.1, "via_waypoint_km": 13162.6, "detour_km": 372.5, "detour_percent": 2.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Mahbūbābād", " End: Orillia", " Waypoint: Terek", "Step 2: Calculate direct distance", " Start → End: 12790.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13162.6 km", "Step 4: Calculate detour", " Detour = 13162.6 - 12790.1 = 372.5 km", " Detour % = (372.5 / 12790.1) × 100 = 2.9%", "Step 5: Determine if on route (typically < 10% detour)", " 2.9% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 41.80694, "lon": 126.90778, "name": "Linjiang" }, "end": { "lat": 26.90806, "lon": 75.19137, "name": "Sāmbhar" }, "waypoint": { "lat": 47.91127, "lon": 1.86483, "name": "Saint-Jean-de-la-Ruelle" }, "question": "Is Saint-Jean-de-la-Ruelle approximately on the direct path from Linjiang to Sāmbhar?", "ground_truth": { "answer": false, "direct_distance_km": 4945.9, "via_waypoint_km": 15291.3, "detour_km": 10345.4, "detour_percent": 209.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Linjiang", " End: Sāmbhar", " Waypoint: Saint-Jean-de-la-Ruelle", "Step 2: Calculate direct distance", " Start → End: 4945.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15291.3 km", "Step 4: Calculate detour", " Detour = 15291.3 - 4945.9 = 10345.4 km", " Detour % = (10345.4 / 4945.9) × 100 = 209.2%", "Step 5: Determine if on route (typically < 10% detour)", " 209.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 57.05877, "lon": 9.92284, "name": "Nørresundby" }, "end": { "lat": 30.22055, "lon": 107.50403, "name": "Gangjia" }, "waypoint": { "lat": -24.22083, "lon": -48.76556, "name": "Ribeirão Branco" }, "question": "Is Ribeirão Branco approximately on the direct path from Nørresundby to Gangjia?", "ground_truth": { "answer": false, "direct_distance_km": 7658.5, "via_waypoint_km": 28140.7, "detour_km": 20482.3, "detour_percent": 267.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Nørresundby", " End: Gangjia", " Waypoint: Ribeirão Branco", "Step 2: Calculate direct distance", " Start → End: 7658.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 28140.7 km", "Step 4: Calculate detour", " Detour = 28140.7 - 7658.5 = 20482.3 km", " Detour % = (20482.3 / 7658.5) × 100 = 267.4%", "Step 5: Determine if on route (typically < 10% detour)", " 267.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 33.41421, "lon": -111.94348, "name": "Tempe Junction" }, "end": { "lat": -32.27682, "lon": 115.72978, "name": "Rockingham" }, "waypoint": { "lat": 48.78889, "lon": 2.27078, "name": "Le Plessis-Robinson" }, "question": "Is Le Plessis-Robinson approximately on the direct path from Tempe Junction to Rockingham?", "ground_truth": { "answer": false, "direct_distance_km": 15599.5, "via_waypoint_km": 23094.4, "detour_km": 7494.9, "detour_percent": 48.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Tempe Junction", " End: Rockingham", " Waypoint: Le Plessis-Robinson", "Step 2: Calculate direct distance", " Start → End: 15599.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23094.4 km", "Step 4: Calculate detour", " Detour = 23094.4 - 15599.5 = 7494.9 km", " Detour % = (7494.9 / 15599.5) × 100 = 48.0%", "Step 5: Determine if on route (typically < 10% detour)", " 48.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 30.39603, "lon": -86.22883, "name": "Santa Rosa Beach" }, "end": { "lat": -4.21278, "lon": -44.44639, "name": "Alto Alegre do Maranhão" }, "waypoint": { "lat": 35.7279, "lon": -0.7081, "name": "Mers el Kebir" }, "question": "Is Mers el Kebir approximately on the direct path from Santa Rosa Beach to Alto Alegre do Maranhão?", "ground_truth": { "answer": false, "direct_distance_km": 5873.7, "via_waypoint_km": 14086.3, "detour_km": 8212.6, "detour_percent": 139.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Santa Rosa Beach", " End: Alto Alegre do Maranhão", " Waypoint: Mers el Kebir", "Step 2: Calculate direct distance", " Start → End: 5873.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14086.3 km", "Step 4: Calculate detour", " Detour = 14086.3 - 5873.7 = 8212.6 km", " Detour % = (8212.6 / 5873.7) × 100 = 139.8%", "Step 5: Determine if on route (typically < 10% detour)", " 139.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 39.57916, "lon": -104.87692, "name": "Centennial" }, "end": { "lat": 34.42647, "lon": 70.45153, "name": "Jalālābād" }, "waypoint": { "lat": 44.20169, "lon": 17.90397, "name": "Zenica" }, "question": "Is Zenica approximately on the direct path from Centennial to Jalālābād?", "ground_truth": { "answer": false, "direct_distance_km": 11772.0, "via_waypoint_km": 13648.6, "detour_km": 1876.5, "detour_percent": 15.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Centennial", " End: Jalālābād", " Waypoint: Zenica", "Step 2: Calculate direct distance", " Start → End: 11772.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13648.6 km", "Step 4: Calculate detour", " Detour = 13648.6 - 11772.0 = 1876.5 km", " Detour % = (1876.5 / 11772.0) × 100 = 15.9%", "Step 5: Determine if on route (typically < 10% detour)", " 15.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 20.91528, "lon": -100.74389, "name": "San Miguel de Allende" }, "end": { "lat": 11.62773, "lon": 75.59147, "name": "Chōrōd" }, "waypoint": { "lat": 11.6, "lon": -9.38333, "name": "Kintinian" }, "question": "Is Kintinian approximately on the direct path from San Miguel de Allende to Chōrōd?", "ground_truth": { "answer": false, "direct_distance_km": 16374.4, "via_waypoint_km": 18900.3, "detour_km": 2526.0, "detour_percent": 15.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: San Miguel de Allende", " End: Chōrōd", " Waypoint: Kintinian", "Step 2: Calculate direct distance", " Start → End: 16374.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18900.3 km", "Step 4: Calculate detour", " Detour = 18900.3 - 16374.4 = 2526.0 km", " Detour % = (2526.0 / 16374.4) × 100 = 15.4%", "Step 5: Determine if on route (typically < 10% detour)", " 15.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -37.8329, "lon": 145.0367, "name": "Hawthorn South" }, "end": { "lat": 40.48979, "lon": -81.44567, "name": "New Philadelphia" }, "waypoint": { "lat": 53.84711, "lon": -1.78785, "name": "Baildon" }, "question": "Is Baildon approximately on the direct path from Hawthorn South to New Philadelphia?", "ground_truth": { "answer": false, "direct_distance_km": 16043.0, "via_waypoint_km": 22802.2, "detour_km": 6759.1, "detour_percent": 42.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Hawthorn South", " End: New Philadelphia", " Waypoint: Baildon", "Step 2: Calculate direct distance", " Start → End: 16043.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22802.2 km", "Step 4: Calculate detour", " Detour = 22802.2 - 16043.0 = 6759.1 km", " Detour % = (6759.1 / 16043.0) × 100 = 42.1%", "Step 5: Determine if on route (typically < 10% detour)", " 42.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 3.72315, "lon": -75.48316, "name": "Chaparral" }, "end": { "lat": -25.16667, "lon": 45.05, "name": "Beloha" }, "waypoint": { "lat": 27.77086, "lon": -82.67927, "name": "St. Petersburg" }, "question": "Is St. Petersburg approximately on the direct path from Chaparral to Beloha?", "ground_truth": { "answer": false, "direct_distance_km": 13244.2, "via_waypoint_km": 17623.8, "detour_km": 4379.6, "detour_percent": 33.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Chaparral", " End: Beloha", " Waypoint: St. Petersburg", "Step 2: Calculate direct distance", " Start → End: 13244.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17623.8 km", "Step 4: Calculate detour", " Detour = 17623.8 - 13244.2 = 4379.6 km", " Detour % = (4379.6 / 13244.2) × 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": 15.11854, "lon": 120.60773, "name": "Telabastagan" }, "end": { "lat": 41.19064, "lon": 40.97935, "name": "Ardeşen" }, "waypoint": { "lat": 36.8545, "lon": 81.66425, "name": "Mugala" }, "question": "Is Mugala approximately on the direct path from Telabastagan to Ardeşen?", "ground_truth": { "answer": true, "direct_distance_km": 8049.3, "via_waypoint_km": 8049.7, "detour_km": 0.4, "detour_percent": 0.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Telabastagan", " End: Ardeşen", " Waypoint: Mugala", "Step 2: Calculate direct distance", " Start → End: 8049.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 8049.7 km", "Step 4: Calculate detour", " Detour = 8049.7 - 8049.3 = 0.4 km", " Detour % = (0.4 / 8049.3) × 100 = 0.0%", "Step 5: Determine if on route (typically < 10% detour)", " 0.0% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 35.25165, "lon": -3.93723, "name": "Al Hoceïma" }, "end": { "lat": -32.90769, "lon": 27.50973, "name": "Ndevana" }, "waypoint": { "lat": 47.51344, "lon": 122.88788, "name": "Nianzishan" }, "question": "Is Nianzishan approximately on the direct path from Al Hoceïma to Ndevana?", "ground_truth": { "answer": false, "direct_distance_km": 8257.0, "via_waypoint_km": 22409.5, "detour_km": 14152.6, "detour_percent": 171.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Al Hoceïma", " End: Ndevana", " Waypoint: Nianzishan", "Step 2: Calculate direct distance", " Start → End: 8257.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22409.5 km", "Step 4: Calculate detour", " Detour = 22409.5 - 8257.0 = 14152.6 km", " Detour % = (14152.6 / 8257.0) × 100 = 171.4%", "Step 5: Determine if on route (typically < 10% detour)", " 171.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 29.62173, "lon": 105.69265, "name": "Baoxing" }, "end": { "lat": 25.95533, "lon": 68.88871, "name": "Jhol" }, "waypoint": { "lat": 23.19838, "lon": 81.58064, "name": "Amlai" }, "question": "Is Amlai approximately on the direct path from Baoxing to Jhol?", "ground_truth": { "answer": true, "direct_distance_km": 3628.3, "via_waypoint_km": 3818.7, "detour_km": 190.3, "detour_percent": 5.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Baoxing", " End: Jhol", " Waypoint: Amlai", "Step 2: Calculate direct distance", " Start → End: 3628.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 3818.7 km", "Step 4: Calculate detour", " Detour = 3818.7 - 3628.3 = 190.3 km", " Detour % = (190.3 / 3628.3) × 100 = 5.2%", "Step 5: Determine if on route (typically < 10% detour)", " 5.2% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 18.85254, "lon": -99.22537, "name": "Temixco" }, "end": { "lat": 12.91823, "lon": 80.08245, "name": "Perunkalattu" }, "waypoint": { "lat": -23.54771, "lon": -46.63145, "name": "Se" }, "question": "Is Se approximately on the direct path from Temixco to Perunkalattu?", "ground_truth": { "answer": false, "direct_distance_km": 16481.5, "via_waypoint_km": 21696.8, "detour_km": 5215.2, "detour_percent": 31.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Temixco", " End: Perunkalattu", " Waypoint: Se", "Step 2: Calculate direct distance", " Start → End: 16481.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21696.8 km", "Step 4: Calculate detour", " Detour = 21696.8 - 16481.5 = 5215.2 km", " Detour % = (5215.2 / 16481.5) × 100 = 31.6%", "Step 5: Determine if on route (typically < 10% detour)", " 31.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 17.0187, "lon": 8.0168, "name": "Alaghsas" }, "end": { "lat": -26.05501, "lon": 30.82292, "name": "Lukwatini" }, "waypoint": { "lat": 32.20907, "lon": 106.21494, "name": "Jiachuan" }, "question": "Is Jiachuan approximately on the direct path from Alaghsas to Lukwatini?", "ground_truth": { "answer": false, "direct_distance_km": 5387.0, "via_waypoint_km": 20026.4, "detour_km": 14639.4, "detour_percent": 271.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Alaghsas", " End: Lukwatini", " Waypoint: Jiachuan", "Step 2: Calculate direct distance", " Start → End: 5387.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20026.4 km", "Step 4: Calculate detour", " Detour = 20026.4 - 5387.0 = 14639.4 km", " Detour % = (14639.4 / 5387.0) × 100 = 271.8%", "Step 5: Determine if on route (typically < 10% detour)", " 271.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -31.09048, "lon": 150.92905, "name": "Tamworth" }, "end": { "lat": 51.36081, "lon": 7.47168, "name": "Hagen" }, "waypoint": { "lat": 38.90524, "lon": -77.04362, "name": "Golden Triangle" }, "question": "Is Golden Triangle approximately on the direct path from Tamworth to Hagen?", "ground_truth": { "answer": false, "direct_distance_km": 16279.3, "via_waypoint_km": 22007.2, "detour_km": 5727.9, "detour_percent": 35.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Tamworth", " End: Hagen", " Waypoint: Golden Triangle", "Step 2: Calculate direct distance", " Start → End: 16279.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22007.2 km", "Step 4: Calculate detour", " Detour = 22007.2 - 16279.3 = 5727.9 km", " Detour % = (5727.9 / 16279.3) × 100 = 35.2%", "Step 5: Determine if on route (typically < 10% detour)", " 35.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -9.38333, "lon": -35.84167, "name": "Messias" }, "end": { "lat": 13.18421, "lon": 30.21669, "name": "El Obeid" }, "waypoint": { "lat": -35.73167, "lon": 174.32391, "name": "Whangarei" }, "question": "Is Whangarei approximately on the direct path from Messias to El Obeid?", "ground_truth": { "answer": false, "direct_distance_km": 7711.5, "via_waypoint_km": 29726.8, "detour_km": 22015.3, "detour_percent": 285.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Messias", " End: El Obeid", " Waypoint: Whangarei", "Step 2: Calculate direct distance", " Start → End: 7711.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 29726.8 km", "Step 4: Calculate detour", " Detour = 29726.8 - 7711.5 = 22015.3 km", " Detour % = (22015.3 / 7711.5) × 100 = 285.5%", "Step 5: Determine if on route (typically < 10% detour)", " 285.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 31.32336, "lon": 31.76122, "name": "Ar-Rawḍah" }, "end": { "lat": -6.75333, "lon": -38.96444, "name": "Lavras da Mangabeira" }, "waypoint": { "lat": -8.59083, "lon": -35.11611, "name": "Sirinhaém" }, "question": "Is Sirinhaém approximately on the direct path from Ar-Rawḍah to Lavras da Mangabeira?", "ground_truth": { "answer": true, "direct_distance_km": 8601.6, "via_waypoint_km": 8841.8, "detour_km": 240.2, "detour_percent": 2.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ar-Rawḍah", " End: Lavras da Mangabeira", " Waypoint: Sirinhaém", "Step 2: Calculate direct distance", " Start → End: 8601.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 8841.8 km", "Step 4: Calculate detour", " Detour = 8841.8 - 8601.6 = 240.2 km", " Detour % = (240.2 / 8601.6) × 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": 15.04741, "lon": 120.51891, "name": "Pio" }, "end": { "lat": 32.83333, "lon": 129.85, "name": "Togitsu" }, "waypoint": { "lat": 40.20686, "lon": -8.41996, "name": "Coimbra" }, "question": "Is Coimbra approximately on the direct path from Pio to Togitsu?", "ground_truth": { "answer": false, "direct_distance_km": 2190.6, "via_waypoint_km": 22752.6, "detour_km": 20562.0, "detour_percent": 938.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Pio", " End: Togitsu", " Waypoint: Coimbra", "Step 2: Calculate direct distance", " Start → End: 2190.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22752.6 km", "Step 4: Calculate detour", " Detour = 22752.6 - 2190.6 = 20562.0 km", " Detour % = (20562.0 / 2190.6) × 100 = 938.6%", "Step 5: Determine if on route (typically < 10% detour)", " 938.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 33.7515, "lon": -84.74771, "name": "Douglasville" }, "end": { "lat": 3.65, "lon": 10.76667, "name": "Eséka" }, "waypoint": { "lat": 51.59915, "lon": 18.93974, "name": "Zduńska Wola" }, "question": "Is Zduńska Wola approximately on the direct path from Douglasville to Eséka?", "ground_truth": { "answer": false, "direct_distance_km": 10290.3, "via_waypoint_km": 13363.5, "detour_km": 3073.2, "detour_percent": 29.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Douglasville", " End: Eséka", " Waypoint: Zduńska Wola", "Step 2: Calculate direct distance", " Start → End: 10290.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13363.5 km", "Step 4: Calculate detour", " Detour = 13363.5 - 10290.3 = 3073.2 km", " Detour % = (3073.2 / 10290.3) × 100 = 29.9%", "Step 5: Determine if on route (typically < 10% detour)", " 29.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 5.87259, "lon": -74.6405, "name": "Puerto Triunfo" }, "end": { "lat": -8.23619, "lon": 19.52566, "name": "Cuilo" }, "waypoint": { "lat": -26.65682, "lon": 153.07955, "name": "Sunshine Coast" }, "question": "Is Sunshine Coast approximately on the direct path from Puerto Triunfo to Cuilo?", "ground_truth": { "answer": false, "direct_distance_km": 10557.3, "via_waypoint_km": 28146.5, "detour_km": 17589.2, "detour_percent": 166.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Puerto Triunfo", " End: Cuilo", " Waypoint: Sunshine Coast", "Step 2: Calculate direct distance", " Start → End: 10557.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 28146.5 km", "Step 4: Calculate detour", " Detour = 28146.5 - 10557.3 = 17589.2 km", " Detour % = (17589.2 / 10557.3) × 100 = 166.6%", "Step 5: Determine if on route (typically < 10% detour)", " 166.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 48.59523, "lon": 8.86648, "name": "Herrenberg" }, "end": { "lat": 45.13338, "lon": 8.4525, "name": "Casale Monferrato" }, "waypoint": { "lat": -29.59111, "lon": -51.16056, "name": "Ivoti" }, "question": "Is Ivoti approximately on the direct path from Herrenberg to Casale Monferrato?", "ground_truth": { "answer": false, "direct_distance_km": 386.2, "via_waypoint_km": 20797.8, "detour_km": 20411.5, "detour_percent": 5284.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Herrenberg", " End: Casale Monferrato", " Waypoint: Ivoti", "Step 2: Calculate direct distance", " Start → End: 386.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20797.8 km", "Step 4: Calculate detour", " Detour = 20797.8 - 386.2 = 20411.5 km", " Detour % = (20411.5 / 386.2) × 100 = 5284.9%", "Step 5: Determine if on route (typically < 10% detour)", " 5284.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 41.63526, "lon": -70.92701, "name": "New Bedford" }, "end": { "lat": 32.4425, "lon": -117.03417, "name": "Pórticos de San Antonio" }, "waypoint": { "lat": 7.34828, "lon": -73.89601, "name": "Puerto Wilches" }, "question": "Is Puerto Wilches approximately on the direct path from New Bedford to Pórticos de San Antonio?", "ground_truth": { "answer": false, "direct_distance_km": 4166.0, "via_waypoint_km": 9072.7, "detour_km": 4906.7, "detour_percent": 117.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: New Bedford", " End: Pórticos de San Antonio", " Waypoint: Puerto Wilches", "Step 2: Calculate direct distance", " Start → End: 4166.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 9072.7 km", "Step 4: Calculate detour", " Detour = 9072.7 - 4166.0 = 4906.7 km", " Detour % = (4906.7 / 4166.0) × 100 = 117.8%", "Step 5: Determine if on route (typically < 10% detour)", " 117.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 43.28788, "lon": -8.38858, "name": "Culleredo" }, "end": { "lat": 50.4669, "lon": 4.86746, "name": "Namur" }, "waypoint": { "lat": 9.8, "lon": 35.1, "name": "Mendī" }, "question": "Is Mendī approximately on the direct path from Culleredo to Namur?", "ground_truth": { "answer": false, "direct_distance_km": 1282.2, "via_waypoint_km": 10909.2, "detour_km": 9626.9, "detour_percent": 750.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Culleredo", " End: Namur", " Waypoint: Mendī", "Step 2: Calculate direct distance", " Start → End: 1282.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 10909.2 km", "Step 4: Calculate detour", " Detour = 10909.2 - 1282.2 = 9626.9 km", " Detour % = (9626.9 / 1282.2) × 100 = 750.8%", "Step 5: Determine if on route (typically < 10% detour)", " 750.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 30.23763, "lon": 106.12704, "name": "Sanmiao" }, "end": { "lat": 21.0963, "lon": 77.0588, "name": "Akot" }, "waypoint": { "lat": 53.5942, "lon": 25.8191, "name": "Novogrudok" }, "question": "Is Novogrudok approximately on the direct path from Sanmiao to Akot?", "ground_truth": { "answer": false, "direct_distance_km": 3074.9, "via_waypoint_km": 12346.2, "detour_km": 9271.3, "detour_percent": 301.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Sanmiao", " End: Akot", " Waypoint: Novogrudok", "Step 2: Calculate direct distance", " Start → End: 3074.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12346.2 km", "Step 4: Calculate detour", " Detour = 12346.2 - 3074.9 = 9271.3 km", " Detour % = (9271.3 / 3074.9) × 100 = 301.5%", "Step 5: Determine if on route (typically < 10% detour)", " 301.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -33.75562, "lon": 25.40074, "name": "Kariega" }, "end": { "lat": -6.32944, "lon": -47.41639, "name": "Tocantinópolis" }, "waypoint": { "lat": -24.1125, "lon": -49.33167, "name": "Itararé" }, "question": "Is Itararé approximately on the direct path from Kariega to Tocantinópolis?", "ground_truth": { "answer": false, "direct_distance_km": 8030.4, "via_waypoint_km": 9186.0, "detour_km": 1155.6, "detour_percent": 14.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kariega", " End: Tocantinópolis", " Waypoint: Itararé", "Step 2: Calculate direct distance", " Start → End: 8030.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 9186.0 km", "Step 4: Calculate detour", " Detour = 9186.0 - 8030.4 = 1155.6 km", " Detour % = (1155.6 / 8030.4) × 100 = 14.4%", "Step 5: Determine if on route (typically < 10% detour)", " 14.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -2.17071, "lon": -79.465, "name": "Naranjito" }, "end": { "lat": -7.5325, "lon": -46.03556, "name": "Balsas" }, "waypoint": { "lat": 42.27756, "lon": -83.74088, "name": "Ann Arbor" }, "question": "Is Ann Arbor approximately on the direct path from Naranjito to Balsas?", "ground_truth": { "answer": false, "direct_distance_km": 3749.8, "via_waypoint_km": 11690.5, "detour_km": 7940.7, "detour_percent": 211.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Naranjito", " End: Balsas", " Waypoint: Ann Arbor", "Step 2: Calculate direct distance", " Start → End: 3749.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 11690.5 km", "Step 4: Calculate detour", " Detour = 11690.5 - 3749.8 = 7940.7 km", " Detour % = (7940.7 / 3749.8) × 100 = 211.8%", "Step 5: Determine if on route (typically < 10% detour)", " 211.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -2.68333, "lon": 33.0, "name": "Usagara" }, "end": { "lat": 35.72603, "lon": 139.48508, "name": "Kodaira" }, "waypoint": { "lat": -10.29028, "lon": -36.58639, "name": "Penedo" }, "question": "Is Penedo approximately on the direct path from Usagara to Kodaira?", "ground_truth": { "answer": false, "direct_distance_km": 11666.4, "via_waypoint_km": 24880.5, "detour_km": 13214.1, "detour_percent": 113.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Usagara", " End: Kodaira", " Waypoint: Penedo", "Step 2: Calculate direct distance", " Start → End: 11666.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24880.5 km", "Step 4: Calculate detour", " Detour = 24880.5 - 11666.4 = 13214.1 km", " Detour % = (13214.1 / 11666.4) × 100 = 113.3%", "Step 5: Determine if on route (typically < 10% detour)", " 113.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -37.69863, "lon": 144.78631, "name": "Taylors Lakes" }, "end": { "lat": 32.5128, "lon": 45.81817, "name": "Al Kūt" }, "waypoint": { "lat": 7.85257, "lon": 38.18529, "name": "Worabe" }, "question": "Is Worabe approximately on the direct path from Taylors Lakes to Al Kūt?", "ground_truth": { "answer": false, "direct_distance_km": 12858.4, "via_waypoint_km": 14851.8, "detour_km": 1993.4, "detour_percent": 15.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Taylors Lakes", " End: Al Kūt", " Waypoint: Worabe", "Step 2: Calculate direct distance", " Start → End: 12858.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14851.8 km", "Step 4: Calculate detour", " Detour = 14851.8 - 12858.4 = 1993.4 km", " Detour % = (1993.4 / 12858.4) × 100 = 15.5%", "Step 5: Determine if on route (typically < 10% detour)", " 15.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -22.87917, "lon": -46.96444, "name": "Souzas" }, "end": { "lat": 12.17024, "lon": 6.66412, "name": "Gusau" }, "waypoint": { "lat": 26.51959, "lon": 50.02715, "name": "‘Inak" }, "question": "Is ‘Inak approximately on the direct path from Souzas to Gusau?", "ground_truth": { "answer": false, "direct_distance_km": 7018.6, "via_waypoint_km": 16569.1, "detour_km": 9550.5, "detour_percent": 136.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Souzas", " End: Gusau", " Waypoint: ‘Inak", "Step 2: Calculate direct distance", " Start → End: 7018.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16569.1 km", "Step 4: Calculate detour", " Detour = 16569.1 - 7018.6 = 9550.5 km", " Detour % = (9550.5 / 7018.6) × 100 = 136.1%", "Step 5: Determine if on route (typically < 10% detour)", " 136.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 25.39526, "lon": 82.5703, "name": "Bhadohi" }, "end": { "lat": 41.96722, "lon": 22.76944, "name": "Delcevo" }, "waypoint": { "lat": 36.71333, "lon": 3.2125, "name": "Dar el Beïda" }, "question": "Is Dar el Beïda approximately on the direct path from Bhadohi to Delcevo?", "ground_truth": { "answer": false, "direct_distance_km": 5709.2, "via_waypoint_km": 9229.9, "detour_km": 3520.7, "detour_percent": 61.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Bhadohi", " End: Delcevo", " Waypoint: Dar el Beïda", "Step 2: Calculate direct distance", " Start → End: 5709.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 9229.9 km", "Step 4: Calculate detour", " Detour = 9229.9 - 5709.2 = 3520.7 km", " Detour % = (3520.7 / 5709.2) × 100 = 61.7%", "Step 5: Determine if on route (typically < 10% detour)", " 61.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 35.46806, "lon": 44.39222, "name": "Kirkuk" }, "end": { "lat": 28.05, "lon": 81.61667, "name": "Nepalgunj" }, "waypoint": { "lat": 37.84221, "lon": 23.77651, "name": "Voúla" }, "question": "Is Voúla approximately on the direct path from Kirkuk to Nepalgunj?", "ground_truth": { "answer": false, "direct_distance_km": 3592.4, "via_waypoint_km": 7273.8, "detour_km": 3681.4, "detour_percent": 102.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kirkuk", " End: Nepalgunj", " Waypoint: Voúla", "Step 2: Calculate direct distance", " Start → End: 3592.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 7273.8 km", "Step 4: Calculate detour", " Detour = 7273.8 - 3592.4 = 3681.4 km", " Detour % = (3681.4 / 3592.4) × 100 = 102.5%", "Step 5: Determine if on route (typically < 10% detour)", " 102.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 53.35, "lon": -1.55, "name": "Fulwood" }, "end": { "lat": -19.11333, "lon": -51.73417, "name": "Cassilândia" }, "waypoint": { "lat": 12.67059, "lon": 13.61224, "name": "Monguno" }, "question": "Is Monguno approximately on the direct path from Fulwood to Cassilândia?", "ground_truth": { "answer": false, "direct_distance_km": 9379.3, "via_waypoint_km": 12699.3, "detour_km": 3320.0, "detour_percent": 35.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Fulwood", " End: Cassilândia", " Waypoint: Monguno", "Step 2: Calculate direct distance", " Start → End: 9379.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12699.3 km", "Step 4: Calculate detour", " Detour = 12699.3 - 9379.3 = 3320.0 km", " Detour % = (3320.0 / 9379.3) × 100 = 35.4%", "Step 5: Determine if on route (typically < 10% detour)", " 35.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -8.64306, "lon": 126.37833, "name": "Venilale" }, "end": { "lat": 23.1912, "lon": 82.16265, "name": "Khongapani" }, "waypoint": { "lat": 15.88853, "lon": 108.25447, "name": "Điện Bàn" }, "question": "Is Điện Bàn approximately on the direct path from Venilale to Khongapani?", "ground_truth": { "answer": true, "direct_distance_km": 5970.1, "via_waypoint_km": 6227.0, "detour_km": 256.8, "detour_percent": 4.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Venilale", " End: Khongapani", " Waypoint: Điện Bàn", "Step 2: Calculate direct distance", " Start → End: 5970.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 6227.0 km", "Step 4: Calculate detour", " Detour = 6227.0 - 5970.1 = 256.8 km", " Detour % = (256.8 / 5970.1) × 100 = 4.3%", "Step 5: Determine if on route (typically < 10% detour)", " 4.3% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -37.81667, "lon": 144.75, "name": "Truganina" }, "end": { "lat": 24.90652, "lon": 32.88563, "name": "Ar Radīsīyah Qiblī" }, "waypoint": { "lat": 30.24548, "lon": -85.64826, "name": "Lynn Haven" }, "question": "Is Lynn Haven approximately on the direct path from Truganina to Ar Radīsīyah Qiblī?", "ground_truth": { "answer": false, "direct_distance_km": 13529.3, "via_waypoint_km": 26396.9, "detour_km": 12867.6, "detour_percent": 95.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Truganina", " End: Ar Radīsīyah Qiblī", " Waypoint: Lynn Haven", "Step 2: Calculate direct distance", " Start → End: 13529.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 26396.9 km", "Step 4: Calculate detour", " Detour = 26396.9 - 13529.3 = 12867.6 km", " Detour % = (12867.6 / 13529.3) × 100 = 95.1%", "Step 5: Determine if on route (typically < 10% detour)", " 95.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 31.5084, "lon": 31.84106, "name": "‘Izbat al Burj" }, "end": { "lat": 59.51404, "lon": 15.99255, "name": "Köping" }, "waypoint": { "lat": 49.07765, "lon": 30.96074, "name": "Zvenihorodka" }, "question": "Is Zvenihorodka approximately on the direct path from ‘Izbat al Burj to Köping?", "ground_truth": { "answer": true, "direct_distance_km": 3330.3, "via_waypoint_km": 3461.3, "detour_km": 131.0, "detour_percent": 3.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: ‘Izbat al Burj", " End: Köping", " Waypoint: Zvenihorodka", "Step 2: Calculate direct distance", " Start → End: 3330.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 3461.3 km", "Step 4: Calculate detour", " Detour = 3461.3 - 3330.3 = 131.0 km", " Detour % = (131.0 / 3330.3) × 100 = 3.9%", "Step 5: Determine if on route (typically < 10% detour)", " 3.9% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 42.38337, "lon": -83.2966, "name": "Redford" }, "end": { "lat": 25.58333, "lon": -99.98333, "name": "Cadereyta" }, "waypoint": { "lat": 30.9128, "lon": 30.29019, "name": "Ḩawsh ‘Īsá" }, "question": "Is Ḩawsh ‘Īsá approximately on the direct path from Redford to Cadereyta?", "ground_truth": { "answer": false, "direct_distance_km": 2410.7, "via_waypoint_km": 21220.9, "detour_km": 18810.2, "detour_percent": 780.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Redford", " End: Cadereyta", " Waypoint: Ḩawsh ‘Īsá", "Step 2: Calculate direct distance", " Start → End: 2410.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21220.9 km", "Step 4: Calculate detour", " Detour = 21220.9 - 2410.7 = 18810.2 km", " Detour % = (18810.2 / 2410.7) × 100 = 780.3%", "Step 5: Determine if on route (typically < 10% detour)", " 780.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -5.04098, "lon": 18.81619, "name": "Kikwit" }, "end": { "lat": -12.96028, "lon": -38.60861, "name": "Vera Cruz" }, "waypoint": { "lat": 40.29931, "lon": 21.78984, "name": "Kozáni" }, "question": "Is Kozáni approximately on the direct path from Kikwit to Vera Cruz?", "ground_truth": { "answer": false, "direct_distance_km": 6355.3, "via_waypoint_km": 13631.5, "detour_km": 7276.2, "detour_percent": 114.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kikwit", " End: Vera Cruz", " Waypoint: Kozáni", "Step 2: Calculate direct distance", " Start → End: 6355.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13631.5 km", "Step 4: Calculate detour", " Detour = 13631.5 - 6355.3 = 7276.2 km", " Detour % = (7276.2 / 6355.3) × 100 = 114.5%", "Step 5: Determine if on route (typically < 10% detour)", " 114.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 15.46253, "lon": 45.32581, "name": "Ma'rib" }, "end": { "lat": 14.71542, "lon": -17.27334, "name": "Rufisque" }, "waypoint": { "lat": 51.52517, "lon": 14.00164, "name": "Senftenberg" }, "question": "Is Senftenberg approximately on the direct path from Ma'rib to Rufisque?", "ground_truth": { "answer": false, "direct_distance_km": 6695.7, "via_waypoint_km": 9826.4, "detour_km": 3130.7, "detour_percent": 46.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ma'rib", " End: Rufisque", " Waypoint: Senftenberg", "Step 2: Calculate direct distance", " Start → End: 6695.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 9826.4 km", "Step 4: Calculate detour", " Detour = 9826.4 - 6695.7 = 3130.7 km", " Detour % = (3130.7 / 6695.7) × 100 = 46.8%", "Step 5: Determine if on route (typically < 10% detour)", " 46.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 52.01682, "lon": 11.7307, "name": "Schönebeck" }, "end": { "lat": 52.76667, "lon": -1.2, "name": "Loughborough" }, "waypoint": { "lat": 11.23855, "lon": -74.19427, "name": "Santa Marta" }, "question": "Is Santa Marta approximately on the direct path from Schönebeck to Loughborough?", "ground_truth": { "answer": false, "direct_distance_km": 880.2, "via_waypoint_km": 16620.8, "detour_km": 15740.6, "detour_percent": 1788.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Schönebeck", " End: Loughborough", " Waypoint: Santa Marta", "Step 2: Calculate direct distance", " Start → End: 880.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16620.8 km", "Step 4: Calculate detour", " Detour = 16620.8 - 880.2 = 15740.6 km", " Detour % = (15740.6 / 880.2) × 100 = 1788.3%", "Step 5: Determine if on route (typically < 10% detour)", " 1788.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 38.80368, "lon": -9.1877, "name": "Ramada" }, "end": { "lat": -6.26083, "lon": -36.51778, "name": "Currais Novos" }, "waypoint": { "lat": 11.60462, "lon": 40.01662, "name": "Sifra" }, "question": "Is Sifra approximately on the direct path from Ramada to Currais Novos?", "ground_truth": { "answer": false, "direct_distance_km": 5748.3, "via_waypoint_km": 14401.2, "detour_km": 8653.0, "detour_percent": 150.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ramada", " End: Currais Novos", " Waypoint: Sifra", "Step 2: Calculate direct distance", " Start → End: 5748.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14401.2 km", "Step 4: Calculate detour", " Detour = 14401.2 - 5748.3 = 8653.0 km", " Detour % = (8653.0 / 5748.3) × 100 = 150.5%", "Step 5: Determine if on route (typically < 10% detour)", " 150.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 51.85561, "lon": 19.40623, "name": "Zgierz" }, "end": { "lat": 57.88227, "lon": 54.71827, "name": "Ochër" }, "waypoint": { "lat": 14.74521, "lon": -17.13783, "name": "Sébikhotane" }, "question": "Is Sébikhotane approximately on the direct path from Zgierz to Ochër?", "ground_truth": { "answer": false, "direct_distance_km": 2326.6, "via_waypoint_km": 12797.1, "detour_km": 10470.5, "detour_percent": 450.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Zgierz", " End: Ochër", " Waypoint: Sébikhotane", "Step 2: Calculate direct distance", " Start → End: 2326.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12797.1 km", "Step 4: Calculate detour", " Detour = 12797.1 - 2326.6 = 10470.5 km", " Detour % = (10470.5 / 2326.6) × 100 = 450.0%", "Step 5: Determine if on route (typically < 10% detour)", " 450.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 10.35917, "lon": 0.47083, "name": "Mango" }, "end": { "lat": -7.16778, "lon": 112.71917, "name": "Kamal" }, "waypoint": { "lat": -37.77988, "lon": 144.92276, "name": "Ascot Vale" }, "question": "Is Ascot Vale approximately on the direct path from Mango to Kamal?", "ground_truth": { "answer": false, "direct_distance_km": 12573.6, "via_waypoint_km": 20041.2, "detour_km": 7467.6, "detour_percent": 59.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Mango", " End: Kamal", " Waypoint: Ascot Vale", "Step 2: Calculate direct distance", " Start → End: 12573.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20041.2 km", "Step 4: Calculate detour", " Detour = 20041.2 - 12573.6 = 7467.6 km", " Detour % = (7467.6 / 12573.6) × 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": -12.42765, "lon": 28.34684, "name": "Mokambo" }, "end": { "lat": 31.28204, "lon": 34.23869, "name": "Rafaḩ" }, "waypoint": { "lat": 43.63605, "lon": 3.90137, "name": "Castelnau-le-Lez" }, "question": "Is Castelnau-le-Lez approximately on the direct path from Mokambo to Rafaḩ?", "ground_truth": { "answer": false, "direct_distance_km": 4900.8, "via_waypoint_km": 9695.3, "detour_km": 4794.5, "detour_percent": 97.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Mokambo", " End: Rafaḩ", " Waypoint: Castelnau-le-Lez", "Step 2: Calculate direct distance", " Start → End: 4900.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 9695.3 km", "Step 4: Calculate detour", " Detour = 9695.3 - 4900.8 = 4794.5 km", " Detour % = (4794.5 / 4900.8) × 100 = 97.8%", "Step 5: Determine if on route (typically < 10% detour)", " 97.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -31.19809, "lon": 28.23351, "name": "Ugie" }, "end": { "lat": -20.53389, "lon": -49.31417, "name": "Nova Granada" }, "waypoint": { "lat": -33.52314, "lon": 151.31325, "name": "Umina Beach" }, "question": "Is Umina Beach approximately on the direct path from Ugie to Nova Granada?", "ground_truth": { "answer": false, "direct_distance_km": 7699.4, "via_waypoint_km": 24284.4, "detour_km": 16585.0, "detour_percent": 215.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ugie", " End: Nova Granada", " Waypoint: Umina Beach", "Step 2: Calculate direct distance", " Start → End: 7699.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24284.4 km", "Step 4: Calculate detour", " Detour = 24284.4 - 7699.4 = 16585.0 km", " Detour % = (16585.0 / 7699.4) × 100 = 215.4%", "Step 5: Determine if on route (typically < 10% detour)", " 215.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -23.46278, "lon": -46.53333, "name": "Guarulhos" }, "end": { "lat": -22.34881, "lon": 30.04074, "name": "Musina" }, "waypoint": { "lat": 53.40332, "lon": 49.51055, "name": "Zhigulëvsk" }, "question": "Is Zhigulëvsk approximately on the direct path from Guarulhos to Musina?", "ground_truth": { "answer": false, "direct_distance_km": 7740.4, "via_waypoint_km": 21101.6, "detour_km": 13361.2, "detour_percent": 172.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Guarulhos", " End: Musina", " Waypoint: Zhigulëvsk", "Step 2: Calculate direct distance", " Start → End: 7740.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21101.6 km", "Step 4: Calculate detour", " Detour = 21101.6 - 7740.4 = 13361.2 km", " Detour % = (13361.2 / 7740.4) × 100 = 172.6%", "Step 5: Determine if on route (typically < 10% detour)", " 172.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 48.73684, "lon": 2.40081, "name": "Villeneuve-le-Roi" }, "end": { "lat": 50.04937, "lon": 10.22175, "name": "Schweinfurt" }, "waypoint": { "lat": 7.82117, "lon": -72.22329, "name": "Táriba" }, "question": "Is Táriba approximately on the direct path from Villeneuve-le-Roi to Schweinfurt?", "ground_truth": { "answer": false, "direct_distance_km": 584.2, "via_waypoint_km": 17032.0, "detour_km": 16447.8, "detour_percent": 2815.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Villeneuve-le-Roi", " End: Schweinfurt", " Waypoint: Táriba", "Step 2: Calculate direct distance", " Start → End: 584.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17032.0 km", "Step 4: Calculate detour", " Detour = 17032.0 - 584.2 = 16447.8 km", " Detour % = (16447.8 / 584.2) × 100 = 2815.3%", "Step 5: Determine if on route (typically < 10% detour)", " 2815.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 53.18194, "lon": -6.79667, "name": "Droichead Nua" }, "end": { "lat": 19.47393, "lon": 74.62063, "name": "Deolali" }, "waypoint": { "lat": 31.7965, "lon": -106.57999, "name": "Sunland Park" }, "question": "Is Sunland Park approximately on the direct path from Droichead Nua to Deolali?", "ground_truth": { "answer": false, "direct_distance_km": 7721.3, "via_waypoint_km": 22142.1, "detour_km": 14420.8, "detour_percent": 186.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Droichead Nua", " End: Deolali", " Waypoint: Sunland Park", "Step 2: Calculate direct distance", " Start → End: 7721.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22142.1 km", "Step 4: Calculate detour", " Detour = 22142.1 - 7721.3 = 14420.8 km", " Detour % = (14420.8 / 7721.3) × 100 = 186.8%", "Step 5: Determine if on route (typically < 10% detour)", " 186.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -38.11531, "lon": 145.29814, "name": "Cranbourne East" }, "end": { "lat": 20.94356, "lon": -101.42703, "name": "Silao" }, "waypoint": { "lat": 19.31734, "lon": 73.05973, "name": "Khoni" }, "question": "Is Khoni approximately on the direct path from Cranbourne East to Silao?", "ground_truth": { "answer": false, "direct_distance_km": 13424.5, "via_waypoint_km": 25363.6, "detour_km": 11939.1, "detour_percent": 88.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Cranbourne East", " End: Silao", " Waypoint: Khoni", "Step 2: Calculate direct distance", " Start → End: 13424.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 25363.6 km", "Step 4: Calculate detour", " Detour = 25363.6 - 13424.5 = 11939.1 km", " Detour % = (11939.1 / 13424.5) × 100 = 88.9%", "Step 5: Determine if on route (typically < 10% detour)", " 88.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 37.95002, "lon": 23.73437, "name": "Dhafní" }, "end": { "lat": -14.21667, "lon": 48.08333, "name": "Maromandia" }, "waypoint": { "lat": -1.14665, "lon": 36.96087, "name": "Ruiru" }, "question": "Is Ruiru approximately on the direct path from Dhafní to Maromandia?", "ground_truth": { "answer": true, "direct_distance_km": 6332.5, "via_waypoint_km": 6453.8, "detour_km": 121.3, "detour_percent": 1.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Dhafní", " End: Maromandia", " Waypoint: Ruiru", "Step 2: Calculate direct distance", " Start → End: 6332.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 6453.8 km", "Step 4: Calculate detour", " Detour = 6453.8 - 6332.5 = 121.3 km", " Detour % = (121.3 / 6332.5) × 100 = 1.9%", "Step 5: Determine if on route (typically < 10% detour)", " 1.9% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 30.35028, "lon": 112.19028, "name": "Jingzhou" }, "end": { "lat": -10.16745, "lon": -48.32766, "name": "Palmas" }, "waypoint": { "lat": -23.84852, "lon": 151.25775, "name": "Gladstone" }, "question": "Is Gladstone approximately on the direct path from Jingzhou to Palmas?", "ground_truth": { "answer": false, "direct_distance_km": 16998.2, "via_waypoint_km": 23001.5, "detour_km": 6003.3, "detour_percent": 35.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Jingzhou", " End: Palmas", " Waypoint: Gladstone", "Step 2: Calculate direct distance", " Start → End: 16998.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23001.5 km", "Step 4: Calculate detour", " Detour = 23001.5 - 16998.2 = 6003.3 km", " Detour % = (6003.3 / 16998.2) × 100 = 35.3%", "Step 5: Determine if on route (typically < 10% detour)", " 35.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 11.44503, "lon": -11.66422, "name": "Tougué" }, "end": { "lat": 19.30653, "lon": -99.59279, "name": "Santa María Totoltepec" }, "waypoint": { "lat": 51.21979, "lon": 4.32664, "name": "Zwijndrecht" }, "question": "Is Zwijndrecht approximately on the direct path from Tougué to Santa María Totoltepec?", "ground_truth": { "answer": false, "direct_distance_km": 9375.5, "via_waypoint_km": 13924.1, "detour_km": 4548.5, "detour_percent": 48.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Tougué", " End: Santa María Totoltepec", " Waypoint: Zwijndrecht", "Step 2: Calculate direct distance", " Start → End: 9375.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13924.1 km", "Step 4: Calculate detour", " Detour = 13924.1 - 9375.5 = 4548.5 km", " Detour % = (4548.5 / 9375.5) × 100 = 48.5%", "Step 5: Determine if on route (typically < 10% detour)", " 48.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -3.7, "lon": 37.66667, "name": "Usangi" }, "end": { "lat": -2.3541, "lon": 29.0298, "name": "Nyabitekeli" }, "waypoint": { "lat": 33.6603, "lon": -117.99923, "name": "Huntington Beach" }, "question": "Is Huntington Beach approximately on the direct path from Usangi to Nyabitekeli?", "ground_truth": { "answer": false, "direct_distance_km": 970.6, "via_waypoint_km": 30970.0, "detour_km": 29999.4, "detour_percent": 3090.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Usangi", " End: Nyabitekeli", " Waypoint: Huntington Beach", "Step 2: Calculate direct distance", " Start → End: 970.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 30970.0 km", "Step 4: Calculate detour", " Detour = 30970.0 - 970.6 = 29999.4 km", " Detour % = (29999.4 / 970.6) × 100 = 3090.8%", "Step 5: Determine if on route (typically < 10% detour)", " 3090.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -3.78333, "lon": 37.61667, "name": "Lembeni" }, "end": { "lat": -21.13683, "lon": -175.20114, "name": "Nuku‘alofa" }, "waypoint": { "lat": 26.2264, "lon": 78.22482, "name": "Morār" }, "question": "Is Morār approximately on the direct path from Lembeni to Nuku‘alofa?", "ground_truth": { "answer": false, "direct_distance_km": 15491.6, "via_waypoint_km": 18111.9, "detour_km": 2620.3, "detour_percent": 16.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Lembeni", " End: Nuku‘alofa", " Waypoint: Morār", "Step 2: Calculate direct distance", " Start → End: 15491.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18111.9 km", "Step 4: Calculate detour", " Detour = 18111.9 - 15491.6 = 2620.3 km", " Detour % = (2620.3 / 15491.6) × 100 = 16.9%", "Step 5: Determine if on route (typically < 10% detour)", " 16.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 7.82719, "lon": 6.07502, "name": "Kabba" }, "end": { "lat": 23.30916, "lon": 90.22698, "name": "Char Bhadrāsan" }, "waypoint": { "lat": -21.53549, "lon": -64.72956, "name": "Tarija" }, "question": "Is Tarija approximately on the direct path from Kabba to Char Bhadrāsan?", "ground_truth": { "answer": false, "direct_distance_km": 9070.2, "via_waypoint_km": 25814.5, "detour_km": 16744.3, "detour_percent": 184.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kabba", " End: Char Bhadrāsan", " Waypoint: Tarija", "Step 2: Calculate direct distance", " Start → End: 9070.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 25814.5 km", "Step 4: Calculate detour", " Detour = 25814.5 - 9070.2 = 16744.3 km", " Detour % = (16744.3 / 9070.2) × 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": 32.65043, "lon": -16.97718, "name": "Câmara de Lobos" }, "end": { "lat": 31.39951, "lon": 30.41718, "name": "Rosetta" }, "waypoint": { "lat": 24.85906, "lon": 98.66783, "name": "Wuhe" }, "question": "Is Wuhe approximately on the direct path from Câmara de Lobos to Rosetta?", "ground_truth": { "answer": false, "direct_distance_km": 4432.4, "via_waypoint_km": 17297.7, "detour_km": 12865.3, "detour_percent": 290.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Câmara de Lobos", " End: Rosetta", " Waypoint: Wuhe", "Step 2: Calculate direct distance", " Start → End: 4432.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17297.7 km", "Step 4: Calculate detour", " Detour = 17297.7 - 4432.4 = 12865.3 km", " Detour % = (12865.3 / 4432.4) × 100 = 290.3%", "Step 5: Determine if on route (typically < 10% detour)", " 290.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 33.34171, "lon": -111.98403, "name": "Ahwatukee Foothills" }, "end": { "lat": -23.5475, "lon": -46.63611, "name": "São Paulo" }, "waypoint": { "lat": -29.95917, "lon": -51.72222, "name": "São Jerônimo" }, "question": "Is São Jerônimo approximately on the direct path from Ahwatukee Foothills to São Paulo?", "ground_truth": { "answer": false, "direct_distance_km": 9370.3, "via_waypoint_km": 10341.7, "detour_km": 971.3, "detour_percent": 10.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ahwatukee Foothills", " End: São Paulo", " Waypoint: São Jerônimo", "Step 2: Calculate direct distance", " Start → End: 9370.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 10341.7 km", "Step 4: Calculate detour", " Detour = 10341.7 - 9370.3 = 971.3 km", " Detour % = (971.3 / 9370.3) × 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": 52.70333, "lon": 5.29167, "name": "Enkhuizen" }, "end": { "lat": 22.20685, "lon": 69.65031, "name": "Khambhāliya" }, "waypoint": { "lat": -34.92866, "lon": 138.59863, "name": "Adelaide" }, "question": "Is Adelaide approximately on the direct path from Enkhuizen to Khambhāliya?", "ground_truth": { "answer": false, "direct_distance_km": 6347.3, "via_waypoint_km": 25524.3, "detour_km": 19177.0, "detour_percent": 302.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Enkhuizen", " End: Khambhāliya", " Waypoint: Adelaide", "Step 2: Calculate direct distance", " Start → End: 6347.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 25524.3 km", "Step 4: Calculate detour", " Detour = 25524.3 - 6347.3 = 19177.0 km", " Detour % = (19177.0 / 6347.3) × 100 = 302.1%", "Step 5: Determine if on route (typically < 10% detour)", " 302.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 48.58392, "lon": 7.74553, "name": "Strasbourg" }, "end": { "lat": 50.87197, "lon": 9.70891, "name": "Bad Hersfeld" }, "waypoint": { "lat": -37.83333, "lon": 145.05, "name": "Glenferrie" }, "question": "Is Glenferrie approximately on the direct path from Strasbourg to Bad Hersfeld?", "ground_truth": { "answer": false, "direct_distance_km": 290.9, "via_waypoint_km": 32657.4, "detour_km": 32366.5, "detour_percent": 11125.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Strasbourg", " End: Bad Hersfeld", " Waypoint: Glenferrie", "Step 2: Calculate direct distance", " Start → End: 290.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 32657.4 km", "Step 4: Calculate detour", " Detour = 32657.4 - 290.9 = 32366.5 km", " Detour % = (32366.5 / 290.9) × 100 = 11125.8%", "Step 5: Determine if on route (typically < 10% detour)", " 11125.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 24.57578, "lon": 77.73123, "name": "Ashoknagar" }, "end": { "lat": 23.5654, "lon": 119.58627, "name": "Magong" }, "waypoint": { "lat": 1.09667, "lon": 36.69806, "name": "Maralal" }, "question": "Is Maralal approximately on the direct path from Ashoknagar to Magong?", "ground_truth": { "answer": false, "direct_distance_km": 4234.3, "via_waypoint_km": 14356.3, "detour_km": 10122.0, "detour_percent": 239.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ashoknagar", " End: Magong", " Waypoint: Maralal", "Step 2: Calculate direct distance", " Start → End: 4234.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14356.3 km", "Step 4: Calculate detour", " Detour = 14356.3 - 4234.3 = 10122.0 km", " Detour % = (10122.0 / 4234.3) × 100 = 239.0%", "Step 5: Determine if on route (typically < 10% detour)", " 239.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 30.39603, "lon": -88.88531, "name": "Biloxi" }, "end": { "lat": 51.0455, "lon": 13.66108, "name": "Gorbitz" }, "waypoint": { "lat": 38.05, "lon": 140.73361, "name": "Ōkawara" }, "question": "Is Ōkawara approximately on the direct path from Biloxi to Gorbitz?", "ground_truth": { "answer": false, "direct_distance_km": 8228.2, "via_waypoint_km": 19675.5, "detour_km": 11447.3, "detour_percent": 139.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Biloxi", " End: Gorbitz", " Waypoint: Ōkawara", "Step 2: Calculate direct distance", " Start → End: 8228.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19675.5 km", "Step 4: Calculate detour", " Detour = 19675.5 - 8228.2 = 11447.3 km", " Detour % = (11447.3 / 8228.2) × 100 = 139.1%", "Step 5: Determine if on route (typically < 10% detour)", " 139.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 7.7782, "lon": 81.6038, "name": "Eravur Town" }, "end": { "lat": 5.72743, "lon": 100.50876, "name": "Bedong" }, "waypoint": { "lat": -1.24857, "lon": 29.98993, "name": "Kabale" }, "question": "Is Kabale approximately on the direct path from Eravur Town to Bedong?", "ground_truth": { "answer": false, "direct_distance_km": 2099.7, "via_waypoint_km": 13678.3, "detour_km": 11578.6, "detour_percent": 551.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Eravur Town", " End: Bedong", " Waypoint: Kabale", "Step 2: Calculate direct distance", " Start → End: 2099.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13678.3 km", "Step 4: Calculate detour", " Detour = 13678.3 - 2099.7 = 11578.6 km", " Detour % = (11578.6 / 2099.7) × 100 = 551.4%", "Step 5: Determine if on route (typically < 10% detour)", " 551.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 50.2584, "lon": 18.85632, "name": "Ruda Śląska" }, "end": { "lat": 10.66354, "lon": 76.00326, "name": "Vadakkēkkād" }, "waypoint": { "lat": 10.7719, "lon": 122.9817, "name": "Binonga" }, "question": "Is Binonga approximately on the direct path from Ruda Śląska to Vadakkēkkād?", "ground_truth": { "answer": false, "direct_distance_km": 6795.2, "via_waypoint_km": 15195.8, "detour_km": 8400.6, "detour_percent": 123.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ruda Śląska", " End: Vadakkēkkād", " Waypoint: Binonga", "Step 2: Calculate direct distance", " Start → End: 6795.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15195.8 km", "Step 4: Calculate detour", " Detour = 15195.8 - 6795.2 = 8400.6 km", " Detour % = (8400.6 / 6795.2) × 100 = 123.6%", "Step 5: Determine if on route (typically < 10% detour)", " 123.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 33.41998, "lon": 131.61837, "name": "Kitsuki" }, "end": { "lat": 32.08102, "lon": -8.62458, "name": "Echemmaia Est" }, "waypoint": { "lat": -4.76667, "lon": 12.55, "name": "Buco Zau" }, "question": "Is Buco Zau approximately on the direct path from Kitsuki to Echemmaia Est?", "ground_truth": { "answer": false, "direct_distance_km": 11624.9, "via_waypoint_km": 17649.9, "detour_km": 6025.0, "detour_percent": 51.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kitsuki", " End: Echemmaia Est", " Waypoint: Buco Zau", "Step 2: Calculate direct distance", " Start → End: 11624.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17649.9 km", "Step 4: Calculate detour", " Detour = 17649.9 - 11624.9 = 6025.0 km", " Detour % = (6025.0 / 11624.9) × 100 = 51.8%", "Step 5: Determine if on route (typically < 10% detour)", " 51.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 30.47797, "lon": 91.1055, "name": "Damxung" }, "end": { "lat": 38.01539, "lon": 23.69187, "name": "Peristéri" }, "waypoint": { "lat": -26.04027, "lon": 30.79268, "name": "Nhlazatje" }, "question": "Is Nhlazatje approximately on the direct path from Damxung to Peristéri?", "ground_truth": { "answer": false, "direct_distance_km": 6119.0, "via_waypoint_km": 16139.5, "detour_km": 10020.5, "detour_percent": 163.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Damxung", " End: Peristéri", " Waypoint: Nhlazatje", "Step 2: Calculate direct distance", " Start → End: 6119.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16139.5 km", "Step 4: Calculate detour", " Detour = 16139.5 - 6119.0 = 10020.5 km", " Detour % = (10020.5 / 6119.0) × 100 = 163.8%", "Step 5: Determine if on route (typically < 10% detour)", " 163.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 43.72849, "lon": -79.31487, "name": "Victoria Village" }, "end": { "lat": -37.70462, "lon": 145.10302, "name": "Greensborough" }, "waypoint": { "lat": 11.3428, "lon": 77.72741, "name": "Erode" }, "question": "Is Erode approximately on the direct path from Victoria Village to Greensborough?", "ground_truth": { "answer": false, "direct_distance_km": 16258.2, "via_waypoint_km": 22331.6, "detour_km": 6073.5, "detour_percent": 37.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Victoria Village", " End: Greensborough", " Waypoint: Erode", "Step 2: Calculate direct distance", " Start → End: 16258.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22331.6 km", "Step 4: Calculate detour", " Detour = 22331.6 - 16258.2 = 6073.5 km", " Detour % = (6073.5 / 16258.2) × 100 = 37.4%", "Step 5: Determine if on route (typically < 10% detour)", " 37.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -20.72523, "lon": 139.49727, "name": "Mount Isa" }, "end": { "lat": -38.21792, "lon": 145.03876, "name": "Mornington" }, "waypoint": { "lat": 39.56667, "lon": -0.33333, "name": "Massamagrell" }, "question": "Is Massamagrell approximately on the direct path from Mount Isa to Mornington?", "ground_truth": { "answer": false, "direct_distance_km": 2016.6, "via_waypoint_km": 32703.5, "detour_km": 30686.9, "detour_percent": 1521.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Mount Isa", " End: Mornington", " Waypoint: Massamagrell", "Step 2: Calculate direct distance", " Start → End: 2016.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 32703.5 km", "Step 4: Calculate detour", " Detour = 32703.5 - 2016.6 = 30686.9 km", " Detour % = (30686.9 / 2016.6) × 100 = 1521.7%", "Step 5: Determine if on route (typically < 10% detour)", " 1521.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 59.19858, "lon": 17.83317, "name": "Tumba" }, "end": { "lat": 32.70261, "lon": -103.13604, "name": "Hobbs" }, "waypoint": { "lat": 36.53307, "lon": 6.71237, "name": "Zighout Youcef" }, "question": "Is Zighout Youcef approximately on the direct path from Tumba to Hobbs?", "ground_truth": { "answer": false, "direct_distance_km": 8448.1, "via_waypoint_km": 12065.4, "detour_km": 3617.3, "detour_percent": 42.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Tumba", " End: Hobbs", " Waypoint: Zighout Youcef", "Step 2: Calculate direct distance", " Start → End: 8448.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12065.4 km", "Step 4: Calculate detour", " Detour = 12065.4 - 8448.1 = 3617.3 km", " Detour % = (3617.3 / 8448.1) × 100 = 42.8%", "Step 5: Determine if on route (typically < 10% detour)", " 42.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 25.18254, "lon": 75.83907, "name": "Kota" }, "end": { "lat": 14.32944, "lon": 120.93667, "name": "Dasmariñas" }, "waypoint": { "lat": 49.81672, "lon": 24.14417, "name": "Vynnyky" }, "question": "Is Vynnyky approximately on the direct path from Kota to Dasmariñas?", "ground_truth": { "answer": false, "direct_distance_km": 4847.4, "via_waypoint_km": 14454.7, "detour_km": 9607.3, "detour_percent": 198.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kota", " End: Dasmariñas", " Waypoint: Vynnyky", "Step 2: Calculate direct distance", " Start → End: 4847.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14454.7 km", "Step 4: Calculate detour", " Detour = 14454.7 - 4847.4 = 9607.3 km", " Detour % = (9607.3 / 4847.4) × 100 = 198.2%", "Step 5: Determine if on route (typically < 10% detour)", " 198.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 16.09007, "lon": -93.7546, "name": "Tonalá" }, "end": { "lat": 43.70643, "lon": -79.39864, "name": "Toronto" }, "waypoint": { "lat": 52.19019, "lon": 61.19894, "name": "Zhitikara" }, "question": "Is Zhitikara approximately on the direct path from Tonalá to Toronto?", "ground_truth": { "answer": false, "direct_distance_km": 3356.7, "via_waypoint_km": 20749.2, "detour_km": 17392.5, "detour_percent": 518.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Tonalá", " End: Toronto", " Waypoint: Zhitikara", "Step 2: Calculate direct distance", " Start → End: 3356.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20749.2 km", "Step 4: Calculate detour", " Detour = 20749.2 - 3356.7 = 17392.5 km", " Detour % = (17392.5 / 3356.7) × 100 = 518.1%", "Step 5: Determine if on route (typically < 10% detour)", " 518.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -23.60926, "lon": -46.62304, "name": "Bosque Saúde" }, "end": { "lat": 14.5391, "lon": 121.0726, "name": "Pateros" }, "waypoint": { "lat": 10.5746, "lon": 122.8954, "name": "Taloc" }, "question": "Is Taloc approximately on the direct path from Bosque Saúde to Pateros?", "ground_truth": { "answer": true, "direct_distance_km": 18376.9, "via_waypoint_km": 18672.2, "detour_km": 295.3, "detour_percent": 1.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Bosque Saúde", " End: Pateros", " Waypoint: Taloc", "Step 2: Calculate direct distance", " Start → End: 18376.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18672.2 km", "Step 4: Calculate detour", " Detour = 18672.2 - 18376.9 = 295.3 km", " Detour % = (295.3 / 18376.9) × 100 = 1.6%", "Step 5: Determine if on route (typically < 10% detour)", " 1.6% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 29.95, "lon": 31.2, "name": "Abū an Numrus" }, "end": { "lat": 40.65909, "lon": -3.76762, "name": "Colmenar Viejo" }, "waypoint": { "lat": -21.64611, "lon": -41.74694, "name": "São Fidélis" }, "question": "Is São Fidélis approximately on the direct path from Abū an Numrus to Colmenar Viejo?", "ground_truth": { "answer": false, "direct_distance_km": 3362.5, "via_waypoint_km": 17638.9, "detour_km": 14276.4, "detour_percent": 424.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Abū an Numrus", " End: Colmenar Viejo", " Waypoint: São Fidélis", "Step 2: Calculate direct distance", " Start → End: 3362.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17638.9 km", "Step 4: Calculate detour", " Detour = 17638.9 - 3362.5 = 14276.4 km", " Detour % = (14276.4 / 3362.5) × 100 = 424.6%", "Step 5: Determine if on route (typically < 10% detour)", " 424.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 19.61301, "lon": 75.78906, "name": "Ambad" }, "end": { "lat": 50.00443, "lon": 12.08593, "name": "Marktredwitz" }, "waypoint": { "lat": -19.49583, "lon": -41.06389, "name": "Aimorés" }, "question": "Is Aimorés approximately on the direct path from Ambad to Marktredwitz?", "ground_truth": { "answer": false, "direct_distance_km": 6483.4, "via_waypoint_km": 22760.5, "detour_km": 16277.1, "detour_percent": 251.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ambad", " End: Marktredwitz", " Waypoint: Aimorés", "Step 2: Calculate direct distance", " Start → End: 6483.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22760.5 km", "Step 4: Calculate detour", " Detour = 22760.5 - 6483.4 = 16277.1 km", " Detour % = (16277.1 / 6483.4) × 100 = 251.1%", "Step 5: Determine if on route (typically < 10% detour)", " 251.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 29.66301, "lon": -95.23549, "name": "South Houston" }, "end": { "lat": 19.08864, "lon": -102.35704, "name": "Apatzingán" }, "waypoint": { "lat": 21.23391, "lon": 110.38749, "name": "Zhanjiang" }, "question": "Is Zhanjiang approximately on the direct path from South Houston to Apatzingán?", "ground_truth": { "answer": false, "direct_distance_km": 1378.5, "via_waypoint_km": 28013.8, "detour_km": 26635.3, "detour_percent": 1932.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: South Houston", " End: Apatzingán", " Waypoint: Zhanjiang", "Step 2: Calculate direct distance", " Start → End: 1378.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 28013.8 km", "Step 4: Calculate detour", " Detour = 28013.8 - 1378.5 = 26635.3 km", " Detour % = (26635.3 / 1378.5) × 100 = 1932.2%", "Step 5: Determine if on route (typically < 10% detour)", " 1932.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -38.7176, "lon": -62.26545, "name": "Bahía Blanca" }, "end": { "lat": -33.51889, "lon": -53.36806, "name": "Santa Vitória do Palmar" }, "waypoint": { "lat": -14.97583, "lon": -41.41083, "name": "Tremedal" }, "question": "Is Tremedal approximately on the direct path from Bahía Blanca to Santa Vitória do Palmar?", "ground_truth": { "answer": false, "direct_distance_km": 985.5, "via_waypoint_km": 5723.6, "detour_km": 4738.1, "detour_percent": 480.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Bahía Blanca", " End: Santa Vitória do Palmar", " Waypoint: Tremedal", "Step 2: Calculate direct distance", " Start → End: 985.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 5723.6 km", "Step 4: Calculate detour", " Detour = 5723.6 - 985.5 = 4738.1 km", " Detour % = (4738.1 / 985.5) × 100 = 480.8%", "Step 5: Determine if on route (typically < 10% detour)", " 480.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 44.44888, "lon": -88.06038, "name": "De Pere" }, "end": { "lat": 43.72254, "lon": 7.11183, "name": "Vence" }, "waypoint": { "lat": 51.05, "lon": 3.71667, "name": "Gent" }, "question": "Is Gent approximately on the direct path from De Pere to Vence?", "ground_truth": { "answer": true, "direct_distance_km": 7122.7, "via_waypoint_km": 7297.3, "detour_km": 174.6, "detour_percent": 2.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: De Pere", " End: Vence", " Waypoint: Gent", "Step 2: Calculate direct distance", " Start → End: 7122.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 7297.3 km", "Step 4: Calculate detour", " Detour = 7297.3 - 7122.7 = 174.6 km", " Detour % = (174.6 / 7122.7) × 100 = 2.5%", "Step 5: Determine if on route (typically < 10% detour)", " 2.5% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 6.17591, "lon": -75.59174, "name": "Envigado" }, "end": { "lat": 10.4639, "lon": -64.17859, "name": "Cumaná" }, "waypoint": { "lat": 50.82882, "lon": -0.32247, "name": "Lancing" }, "question": "Is Lancing approximately on the direct path from Envigado to Cumaná?", "ground_truth": { "answer": false, "direct_distance_km": 1342.9, "via_waypoint_km": 15727.9, "detour_km": 14385.0, "detour_percent": 1071.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Envigado", " End: Cumaná", " Waypoint: Lancing", "Step 2: Calculate direct distance", " Start → End: 1342.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15727.9 km", "Step 4: Calculate detour", " Detour = 15727.9 - 1342.9 = 14385.0 km", " Detour % = (14385.0 / 1342.9) × 100 = 1071.2%", "Step 5: Determine if on route (typically < 10% detour)", " 1071.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -33.93462, "lon": 18.86676, "name": "Stellenbosch" }, "end": { "lat": 23.15486, "lon": 112.89161, "name": "Sanshui" }, "waypoint": { "lat": 34.22834, "lon": -118.53675, "name": "Northridge" }, "question": "Is Northridge approximately on the direct path from Stellenbosch to Sanshui?", "ground_truth": { "answer": false, "direct_distance_km": 11769.6, "via_waypoint_km": 27757.2, "detour_km": 15987.6, "detour_percent": 135.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Stellenbosch", " End: Sanshui", " Waypoint: Northridge", "Step 2: Calculate direct distance", " Start → End: 11769.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 27757.2 km", "Step 4: Calculate detour", " Detour = 27757.2 - 11769.6 = 15987.6 km", " Detour % = (15987.6 / 11769.6) × 100 = 135.8%", "Step 5: Determine if on route (typically < 10% detour)", " 135.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 30.421, "lon": 112.8919, "name": "Qianjiang" }, "end": { "lat": 20.07806, "lon": 105.86028, "name": "Bỉm Sơn" }, "waypoint": { "lat": 61.31226, "lon": 63.33067, "name": "Yugorsk" }, "question": "Is Yugorsk approximately on the direct path from Qianjiang to Bỉm Sơn?", "ground_truth": { "answer": false, "direct_distance_km": 1349.2, "via_waypoint_km": 10590.5, "detour_km": 9241.3, "detour_percent": 684.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Qianjiang", " End: Bỉm Sơn", " Waypoint: Yugorsk", "Step 2: Calculate direct distance", " Start → End: 1349.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 10590.5 km", "Step 4: Calculate detour", " Detour = 10590.5 - 1349.2 = 9241.3 km", " Detour % = (9241.3 / 1349.2) × 100 = 684.9%", "Step 5: Determine if on route (typically < 10% detour)", " 684.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 7.77104, "lon": 4.55698, "name": "Osogbo" }, "end": { "lat": 7.25957, "lon": -8.15498, "name": "Danané" }, "waypoint": { "lat": 50.98854, "lon": 7.41391, "name": "Engelskirchen" }, "question": "Is Engelskirchen approximately on the direct path from Osogbo to Danané?", "ground_truth": { "answer": false, "direct_distance_km": 1402.5, "via_waypoint_km": 9882.9, "detour_km": 8480.4, "detour_percent": 604.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Osogbo", " End: Danané", " Waypoint: Engelskirchen", "Step 2: Calculate direct distance", " Start → End: 1402.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 9882.9 km", "Step 4: Calculate detour", " Detour = 9882.9 - 1402.5 = 8480.4 km", " Detour % = (8480.4 / 1402.5) × 100 = 604.7%", "Step 5: Determine if on route (typically < 10% detour)", " 604.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 42.66123, "lon": 13.69901, "name": "Teramo" }, "end": { "lat": 38.87934, "lon": -77.01758, "name": "Southwest Waterfront" }, "waypoint": { "lat": 24.41863, "lon": 82.98797, "name": "Obra" }, "question": "Is Obra approximately on the direct path from Teramo to Southwest Waterfront?", "ground_truth": { "answer": false, "direct_distance_km": 7258.7, "via_waypoint_km": 19221.7, "detour_km": 11963.0, "detour_percent": 164.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Teramo", " End: Southwest Waterfront", " Waypoint: Obra", "Step 2: Calculate direct distance", " Start → End: 7258.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19221.7 km", "Step 4: Calculate detour", " Detour = 19221.7 - 7258.7 = 11963.0 km", " Detour % = (11963.0 / 7258.7) × 100 = 164.8%", "Step 5: Determine if on route (typically < 10% detour)", " 164.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 22.28519, "lon": -97.87777, "name": "Tampico" }, "end": { "lat": 51.41505, "lon": 9.65046, "name": "Hannoversch Münden" }, "waypoint": { "lat": 30.41145, "lon": -9.55344, "name": "Dakhla" }, "question": "Is Dakhla approximately on the direct path from Tampico to Hannoversch Münden?", "ground_truth": { "answer": false, "direct_distance_km": 9224.3, "via_waypoint_km": 11445.1, "detour_km": 2220.7, "detour_percent": 24.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Tampico", " End: Hannoversch Münden", " Waypoint: Dakhla", "Step 2: Calculate direct distance", " Start → End: 9224.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 11445.1 km", "Step 4: Calculate detour", " Detour = 11445.1 - 9224.3 = 2220.7 km", " Detour % = (2220.7 / 9224.3) × 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": 4.80293, "lon": 8.25341, "name": "Esuk Oron" }, "end": { "lat": 29.31577, "lon": 76.31502, "name": "Jīnd" }, "waypoint": { "lat": 38.90428, "lon": -77.01196, "name": "Northwest One" }, "question": "Is Northwest One approximately on the direct path from Esuk Oron to Jīnd?", "ground_truth": { "answer": false, "direct_distance_km": 7622.9, "via_waypoint_km": 21204.0, "detour_km": 13581.1, "detour_percent": 178.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Esuk Oron", " End: Jīnd", " Waypoint: Northwest One", "Step 2: Calculate direct distance", " Start → End: 7622.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21204.0 km", "Step 4: Calculate detour", " Detour = 21204.0 - 7622.9 = 13581.1 km", " Detour % = (13581.1 / 7622.9) × 100 = 178.2%", "Step 5: Determine if on route (typically < 10% detour)", " 178.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -23.50262, "lon": -46.46156, "name": "Vila Jacui" }, "end": { "lat": -17.39799, "lon": -66.03825, "name": "Sacaba" }, "waypoint": { "lat": 37.54174, "lon": 80.11735, "name": "Han’airike" }, "question": "Is Han’airike approximately on the direct path from Vila Jacui to Sacaba?", "ground_truth": { "answer": false, "direct_distance_km": 2147.2, "via_waypoint_km": 30769.1, "detour_km": 28622.0, "detour_percent": 1333.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Vila Jacui", " End: Sacaba", " Waypoint: Han’airike", "Step 2: Calculate direct distance", " Start → End: 2147.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 30769.1 km", "Step 4: Calculate detour", " Detour = 30769.1 - 2147.2 = 28622.0 km", " Detour % = (28622.0 / 2147.2) × 100 = 1333.0%", "Step 5: Determine if on route (typically < 10% detour)", " 1333.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 20.91528, "lon": -100.74389, "name": "San Miguel de Allende" }, "end": { "lat": 50.05197, "lon": 72.95497, "name": "Temirtau" }, "waypoint": { "lat": 47.22557, "lon": 8.82228, "name": "Rapperswil" }, "question": "Is Rapperswil approximately on the direct path from San Miguel de Allende to Temirtau?", "ground_truth": { "answer": false, "direct_distance_km": 12099.5, "via_waypoint_km": 14267.3, "detour_km": 2167.8, "detour_percent": 17.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: San Miguel de Allende", " End: Temirtau", " Waypoint: Rapperswil", "Step 2: Calculate direct distance", " Start → End: 12099.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14267.3 km", "Step 4: Calculate detour", " Detour = 14267.3 - 12099.5 = 2167.8 km", " Detour % = (2167.8 / 12099.5) × 100 = 17.9%", "Step 5: Determine if on route (typically < 10% detour)", " 17.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 50.79646, "lon": 19.12409, "name": "Częstochowa" }, "end": { "lat": 12.68162, "lon": 78.62014, "name": "Vaniyambadi" }, "waypoint": { "lat": 43.00141, "lon": -85.76809, "name": "Walker" }, "question": "Is Walker approximately on the direct path from Częstochowa to Vaniyambadi?", "ground_truth": { "answer": false, "direct_distance_km": 6795.1, "via_waypoint_km": 20940.7, "detour_km": 14145.6, "detour_percent": 208.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Częstochowa", " End: Vaniyambadi", " Waypoint: Walker", "Step 2: Calculate direct distance", " Start → End: 6795.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20940.7 km", "Step 4: Calculate detour", " Detour = 20940.7 - 6795.1 = 14145.6 km", " Detour % = (14145.6 / 6795.1) × 100 = 208.2%", "Step 5: Determine if on route (typically < 10% detour)", " 208.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 37.4776, "lon": 45.8943, "name": "Ajab Shīr" }, "end": { "lat": 13.78338, "lon": 77.79667, "name": "Bāgepalli" }, "waypoint": { "lat": 34.7304, "lon": -86.58594, "name": "Huntsville" }, "question": "Is Huntsville approximately on the direct path from Ajab Shīr to Bāgepalli?", "ground_truth": { "answer": false, "direct_distance_km": 4107.4, "via_waypoint_km": 24980.3, "detour_km": 20872.9, "detour_percent": 508.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ajab Shīr", " End: Bāgepalli", " Waypoint: Huntsville", "Step 2: Calculate direct distance", " Start → End: 4107.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24980.3 km", "Step 4: Calculate detour", " Detour = 24980.3 - 4107.4 = 20872.9 km", " Detour % = (20872.9 / 4107.4) × 100 = 508.2%", "Step 5: Determine if on route (typically < 10% detour)", " 508.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -19.27444, "lon": -44.40417, "name": "Paraopeba" }, "end": { "lat": 22.22495, "lon": 81.40994, "name": "Pandaria" }, "waypoint": { "lat": -19.03333, "lon": 29.78333, "name": "Redcliff" }, "question": "Is Redcliff approximately on the direct path from Paraopeba to Pandaria?", "ground_truth": { "answer": true, "direct_distance_km": 14400.6, "via_waypoint_km": 14970.8, "detour_km": 570.2, "detour_percent": 4.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Paraopeba", " End: Pandaria", " Waypoint: Redcliff", "Step 2: Calculate direct distance", " Start → End: 14400.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14970.8 km", "Step 4: Calculate detour", " Detour = 14970.8 - 14400.6 = 570.2 km", " Detour % = (570.2 / 14400.6) × 100 = 4.0%", "Step 5: Determine if on route (typically < 10% detour)", " 4.0% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 26.18787, "lon": -81.69509, "name": "Golden Gate" }, "end": { "lat": -2.52139, "lon": -45.0825, "name": "Pinheiro" }, "waypoint": { "lat": 39.13927, "lon": 141.1685, "name": "Ōshū" }, "question": "Is Ōshū approximately on the direct path from Golden Gate to Pinheiro?", "ground_truth": { "answer": false, "direct_distance_km": 5065.9, "via_waypoint_km": 27390.9, "detour_km": 22325.0, "detour_percent": 440.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Golden Gate", " End: Pinheiro", " Waypoint: Ōshū", "Step 2: Calculate direct distance", " Start → End: 5065.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 27390.9 km", "Step 4: Calculate detour", " Detour = 27390.9 - 5065.9 = 22325.0 km", " Detour % = (22325.0 / 5065.9) × 100 = 440.7%", "Step 5: Determine if on route (typically < 10% detour)", " 440.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 8.9, "lon": 39.91667, "name": "Metahāra" }, "end": { "lat": 40.4167, "lon": -86.87529, "name": "Lafayette" }, "waypoint": { "lat": 40.80444, "lon": 140.44139, "name": "Goshogawara" }, "question": "Is Goshogawara approximately on the direct path from Metahāra to Lafayette?", "ground_truth": { "answer": false, "direct_distance_km": 12286.9, "via_waypoint_km": 20031.2, "detour_km": 7744.3, "detour_percent": 63.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Metahāra", " End: Lafayette", " Waypoint: Goshogawara", "Step 2: Calculate direct distance", " Start → End: 12286.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20031.2 km", "Step 4: Calculate detour", " Detour = 20031.2 - 12286.9 = 7744.3 km", " Detour % = (7744.3 / 12286.9) × 100 = 63.0%", "Step 5: Determine if on route (typically < 10% detour)", " 63.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 46.06169, "lon": 28.83078, "name": "Ceadîr-Lunga" }, "end": { "lat": 40.17953, "lon": 18.03174, "name": "Nardò" }, "waypoint": { "lat": -8.14583, "lon": -36.37111, "name": "Brejo da Madre de Deus" }, "question": "Is Brejo da Madre de Deus approximately on the direct path from Ceadîr-Lunga to Nardò?", "ground_truth": { "answer": false, "direct_distance_km": 1092.0, "via_waypoint_km": 16552.7, "detour_km": 15460.6, "detour_percent": 1415.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ceadîr-Lunga", " End: Nardò", " Waypoint: Brejo da Madre de Deus", "Step 2: Calculate direct distance", " Start → End: 1092.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16552.7 km", "Step 4: Calculate detour", " Detour = 16552.7 - 1092.0 = 15460.6 km", " Detour % = (15460.6 / 1092.0) × 100 = 1415.8%", "Step 5: Determine if on route (typically < 10% detour)", " 1415.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -26.21197, "lon": 28.25958, "name": "Boksburg" }, "end": { "lat": -33.7457, "lon": 151.04764, "name": "West Pennant Hills" }, "waypoint": { "lat": -5.68167, "lon": -43.09333, "name": "Parnarama" }, "question": "Is Parnarama approximately on the direct path from Boksburg to West Pennant Hills?", "ground_truth": { "answer": false, "direct_distance_km": 11022.4, "via_waypoint_km": 23255.7, "detour_km": 12233.2, "detour_percent": 111.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Boksburg", " End: West Pennant Hills", " Waypoint: Parnarama", "Step 2: Calculate direct distance", " Start → End: 11022.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23255.7 km", "Step 4: Calculate detour", " Detour = 23255.7 - 11022.4 = 12233.2 km", " Detour % = (12233.2 / 11022.4) × 100 = 111.0%", "Step 5: Determine if on route (typically < 10% detour)", " 111.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 30.37746, "lon": 30.35032, "name": "Madīnat Wādī an Naţrūn" }, "end": { "lat": 49.23262, "lon": 7.00982, "name": "Saarbrücken" }, "waypoint": { "lat": -20.94639, "lon": -44.91889, "name": "Santo Antônio do Amparo" }, "question": "Is Santo Antônio do Amparo approximately on the direct path from Madīnat Wādī an Naţrūn to Saarbrücken?", "ground_truth": { "answer": false, "direct_distance_km": 2870.0, "via_waypoint_km": 19189.5, "detour_km": 16319.5, "detour_percent": 568.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Madīnat Wādī an Naţrūn", " End: Saarbrücken", " Waypoint: Santo Antônio do Amparo", "Step 2: Calculate direct distance", " Start → End: 2870.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19189.5 km", "Step 4: Calculate detour", " Detour = 19189.5 - 2870.0 = 16319.5 km", " Detour % = (16319.5 / 2870.0) × 100 = 568.6%", "Step 5: Determine if on route (typically < 10% detour)", " 568.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 34.81352, "lon": 135.64914, "name": "Hirakata" }, "end": { "lat": 51.37891, "lon": 0.52786, "name": "Chatham" }, "waypoint": { "lat": -20.67139, "lon": -41.00694, "name": "Vargem Alta" }, "question": "Is Vargem Alta approximately on the direct path from Hirakata to Chatham?", "ground_truth": { "answer": false, "direct_distance_km": 9478.6, "via_waypoint_km": 27383.9, "detour_km": 17905.3, "detour_percent": 188.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Hirakata", " End: Chatham", " Waypoint: Vargem Alta", "Step 2: Calculate direct distance", " Start → End: 9478.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 27383.9 km", "Step 4: Calculate detour", " Detour = 27383.9 - 9478.6 = 17905.3 km", " Detour % = (17905.3 / 9478.6) × 100 = 188.9%", "Step 5: Determine if on route (typically < 10% detour)", " 188.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 39.38984, "lon": -74.52404, "name": "Pleasantville" }, "end": { "lat": 12.84519, "lon": 80.06055, "name": "Gūduvāncheri" }, "waypoint": { "lat": 33.72178, "lon": 66.13023, "name": "Nīlī" }, "question": "Is Nīlī approximately on the direct path from Pleasantville to Gūduvāncheri?", "ground_truth": { "answer": true, "direct_distance_km": 13638.0, "via_waypoint_km": 13649.3, "detour_km": 11.3, "detour_percent": 0.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Pleasantville", " End: Gūduvāncheri", " Waypoint: Nīlī", "Step 2: Calculate direct distance", " Start → End: 13638.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13649.3 km", "Step 4: Calculate detour", " Detour = 13649.3 - 13638.0 = 11.3 km", " Detour % = (11.3 / 13638.0) × 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": 1.825, "lon": 103.3107, "name": "Simpang Renggam" }, "end": { "lat": 40.9805, "lon": -111.88744, "name": "Farmington" }, "waypoint": { "lat": 51.14236, "lon": 3.1368, "name": "Zedelgem" }, "question": "Is Zedelgem approximately on the direct path from Simpang Renggam to Farmington?", "ground_truth": { "answer": false, "direct_distance_km": 14073.2, "via_waypoint_km": 18553.1, "detour_km": 4480.0, "detour_percent": 31.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Simpang Renggam", " End: Farmington", " Waypoint: Zedelgem", "Step 2: Calculate direct distance", " Start → End: 14073.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18553.1 km", "Step 4: Calculate detour", " Detour = 18553.1 - 14073.2 = 4480.0 km", " Detour % = (4480.0 / 14073.2) × 100 = 31.8%", "Step 5: Determine if on route (typically < 10% detour)", " 31.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 35.3015, "lon": 139.25581, "name": "Ninomiya" }, "end": { "lat": 16.47926, "lon": 79.88632, "name": "Pidugurālla" }, "waypoint": { "lat": 21.48349, "lon": 109.11549, "name": "Beihai" }, "question": "Is Beihai approximately on the direct path from Ninomiya to Pidugurālla?", "ground_truth": { "answer": true, "direct_distance_km": 6200.2, "via_waypoint_km": 6424.2, "detour_km": 223.9, "detour_percent": 3.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ninomiya", " End: Pidugurālla", " Waypoint: Beihai", "Step 2: Calculate direct distance", " Start → End: 6200.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 6424.2 km", "Step 4: Calculate detour", " Detour = 6424.2 - 6200.2 = 223.9 km", " Detour % = (223.9 / 6200.2) × 100 = 3.6%", "Step 5: Determine if on route (typically < 10% detour)", " 3.6% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -11.83431, "lon": 31.45287, "name": "Mpika" }, "end": { "lat": -1.4, "lon": 31.73333, "name": "Katerero" }, "waypoint": { "lat": 53.13253, "lon": 26.00774, "name": "Baranovichi" }, "question": "Is Baranovichi approximately on the direct path from Mpika to Katerero?", "ground_truth": { "answer": false, "direct_distance_km": 1160.7, "via_waypoint_km": 13329.7, "detour_km": 12169.1, "detour_percent": 1048.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Mpika", " End: Katerero", " Waypoint: Baranovichi", "Step 2: Calculate direct distance", " Start → End: 1160.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13329.7 km", "Step 4: Calculate detour", " Detour = 13329.7 - 1160.7 = 12169.1 km", " Detour % = (12169.1 / 1160.7) × 100 = 1048.5%", "Step 5: Determine if on route (typically < 10% detour)", " 1048.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 24.06703, "lon": 115.61309, "name": "Huacheng" }, "end": { "lat": 42.44063, "lon": -76.49661, "name": "Ithaca" }, "waypoint": { "lat": 12.2, "lon": -10.7, "name": "Sagalo" }, "question": "Is Sagalo approximately on the direct path from Huacheng to Ithaca?", "ground_truth": { "answer": false, "direct_distance_km": 12516.0, "via_waypoint_km": 20043.5, "detour_km": 7527.5, "detour_percent": 60.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Huacheng", " End: Ithaca", " Waypoint: Sagalo", "Step 2: Calculate direct distance", " Start → End: 12516.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20043.5 km", "Step 4: Calculate detour", " Detour = 20043.5 - 12516.0 = 7527.5 km", " Detour % = (7527.5 / 12516.0) × 100 = 60.1%", "Step 5: Determine if on route (typically < 10% detour)", " 60.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 21.96111, "lon": -102.34333, "name": "Jesús María" }, "end": { "lat": -28.21901, "lon": 152.03438, "name": "Warwick" }, "waypoint": { "lat": 36.41657, "lon": 1.19616, "name": "Abou el Hassan" }, "question": "Is Abou el Hassan approximately on the direct path from Jesús María to Warwick?", "ground_truth": { "answer": false, "direct_distance_km": 12607.8, "via_waypoint_km": 26846.4, "detour_km": 14238.6, "detour_percent": 112.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Jesús María", " End: Warwick", " Waypoint: Abou el Hassan", "Step 2: Calculate direct distance", " Start → End: 12607.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 26846.4 km", "Step 4: Calculate detour", " Detour = 26846.4 - 12607.8 = 14238.6 km", " Detour % = (14238.6 / 12607.8) × 100 = 112.9%", "Step 5: Determine if on route (typically < 10% detour)", " 112.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 22.63696, "lon": 90.27195, "name": "Nālchiti" }, "end": { "lat": 32.07095, "lon": 73.68802, "name": "Hafizabad" }, "waypoint": { "lat": 45.88577, "lon": 10.84117, "name": "Riva del Garda" }, "question": "Is Riva del Garda approximately on the direct path from Nālchiti to Hafizabad?", "ground_truth": { "answer": false, "direct_distance_km": 1941.2, "via_waypoint_km": 12922.3, "detour_km": 10981.2, "detour_percent": 565.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Nālchiti", " End: Hafizabad", " Waypoint: Riva del Garda", "Step 2: Calculate direct distance", " Start → End: 1941.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12922.3 km", "Step 4: Calculate detour", " Detour = 12922.3 - 1941.2 = 10981.2 km", " Detour % = (10981.2 / 1941.2) × 100 = 565.7%", "Step 5: Determine if on route (typically < 10% detour)", " 565.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -26.23656, "lon": 28.36938, "name": "Brakpan" }, "end": { "lat": 31.21673, "lon": -8.23184, "name": "Amizmiz" }, "waypoint": { "lat": 9.17048, "lon": 77.54107, "name": "Sankarankovil" }, "question": "Is Sankarankovil approximately on the direct path from Brakpan to Amizmiz?", "ground_truth": { "answer": false, "direct_distance_km": 7477.8, "via_waypoint_km": 15690.6, "detour_km": 8212.8, "detour_percent": 109.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Brakpan", " End: Amizmiz", " Waypoint: Sankarankovil", "Step 2: Calculate direct distance", " Start → End: 7477.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15690.6 km", "Step 4: Calculate detour", " Detour = 15690.6 - 7477.8 = 8212.8 km", " Detour % = (8212.8 / 7477.8) × 100 = 109.8%", "Step 5: Determine if on route (typically < 10% detour)", " 109.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -21.89222, "lon": -45.59528, "name": "São Gonçalo do Sapucaí" }, "end": { "lat": -30.71066, "lon": -62.00714, "name": "Morteros" }, "waypoint": { "lat": 11.66667, "lon": 38.8, "name": "Filakit" }, "question": "Is Filakit approximately on the direct path from São Gonçalo do Sapucaí to Morteros?", "ground_truth": { "answer": false, "direct_distance_km": 1904.0, "via_waypoint_km": 21613.3, "detour_km": 19709.3, "detour_percent": 1035.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: São Gonçalo do Sapucaí", " End: Morteros", " Waypoint: Filakit", "Step 2: Calculate direct distance", " Start → End: 1904.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21613.3 km", "Step 4: Calculate detour", " Detour = 21613.3 - 1904.0 = 19709.3 km", " Detour % = (19709.3 / 1904.0) × 100 = 1035.2%", "Step 5: Determine if on route (typically < 10% detour)", " 1035.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 9.44272, "lon": -0.00991, "name": "Yendi" }, "end": { "lat": 43.64663, "lon": -79.42956, "name": "Little Portugal" }, "waypoint": { "lat": -27.87683, "lon": 153.28572, "name": "Upper Coomera" }, "question": "Is Upper Coomera approximately on the direct path from Yendi to Little Portugal?", "ground_truth": { "answer": false, "direct_distance_km": 8435.2, "via_waypoint_km": 31588.9, "detour_km": 23153.8, "detour_percent": 274.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Yendi", " End: Little Portugal", " Waypoint: Upper Coomera", "Step 2: Calculate direct distance", " Start → End: 8435.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 31588.9 km", "Step 4: Calculate detour", " Detour = 31588.9 - 8435.2 = 23153.8 km", " Detour % = (23153.8 / 8435.2) × 100 = 274.5%", "Step 5: Determine if on route (typically < 10% detour)", " 274.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 41.8092, "lon": -87.59755, "name": "Kenwood" }, "end": { "lat": 48.023, "lon": 37.80224, "name": "Donetsk" }, "waypoint": { "lat": 1.93556, "lon": -76.24056, "name": "Isnos" }, "question": "Is Isnos approximately on the direct path from Kenwood to Donetsk?", "ground_truth": { "answer": false, "direct_distance_km": 8680.4, "via_waypoint_km": 16175.9, "detour_km": 7495.6, "detour_percent": 86.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kenwood", " End: Donetsk", " Waypoint: Isnos", "Step 2: Calculate direct distance", " Start → End: 8680.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16175.9 km", "Step 4: Calculate detour", " Detour = 16175.9 - 8680.4 = 7495.6 km", " Detour % = (7495.6 / 8680.4) × 100 = 86.4%", "Step 5: Determine if on route (typically < 10% detour)", " 86.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -5.63333, "lon": 32.76667, "name": "Sikonge" }, "end": { "lat": 42.50982, "lon": -70.94949, "name": "South Peabody" }, "waypoint": { "lat": 22.2761, "lon": 114.18398, "name": "Leighton Hill" }, "question": "Is Leighton Hill approximately on the direct path from Sikonge to South Peabody?", "ground_truth": { "answer": false, "direct_distance_km": 11553.5, "via_waypoint_km": 22159.9, "detour_km": 10606.5, "detour_percent": 91.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Sikonge", " End: South Peabody", " Waypoint: Leighton Hill", "Step 2: Calculate direct distance", " Start → End: 11553.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22159.9 km", "Step 4: Calculate detour", " Detour = 22159.9 - 11553.5 = 10606.5 km", " Detour % = (10606.5 / 11553.5) × 100 = 91.8%", "Step 5: Determine if on route (typically < 10% detour)", " 91.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 22.51226, "lon": 113.92546, "name": "Houhai" }, "end": { "lat": 3.18611, "lon": 101.62875, "name": "Desa Parkcity" }, "waypoint": { "lat": 41.89066, "lon": -71.39228, "name": "Central Falls" }, "question": "Is Central Falls approximately on the direct path from Houhai to Desa Parkcity?", "ground_truth": { "answer": false, "direct_distance_km": 2524.9, "via_waypoint_km": 27786.3, "detour_km": 25261.4, "detour_percent": 1000.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Houhai", " End: Desa Parkcity", " Waypoint: Central Falls", "Step 2: Calculate direct distance", " Start → End: 2524.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 27786.3 km", "Step 4: Calculate detour", " Detour = 27786.3 - 2524.9 = 25261.4 km", " Detour % = (25261.4 / 2524.9) × 100 = 1000.5%", "Step 5: Determine if on route (typically < 10% detour)", " 1000.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -19.51889, "lon": -41.01583, "name": "Baixo Guandu" }, "end": { "lat": 42.097, "lon": -79.23533, "name": "Jamestown" }, "waypoint": { "lat": 4.075, "lon": 9.36005, "name": "Tiko" }, "question": "Is Tiko approximately on the direct path from Baixo Guandu to Jamestown?", "ground_truth": { "answer": false, "direct_distance_km": 7895.5, "via_waypoint_km": 15686.3, "detour_km": 7790.8, "detour_percent": 98.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Baixo Guandu", " End: Jamestown", " Waypoint: Tiko", "Step 2: Calculate direct distance", " Start → End: 7895.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15686.3 km", "Step 4: Calculate detour", " Detour = 15686.3 - 7895.5 = 7790.8 km", " Detour % = (7790.8 / 7895.5) × 100 = 98.7%", "Step 5: Determine if on route (typically < 10% detour)", " 98.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -32.78588, "lon": -71.53222, "name": "Quintero" }, "end": { "lat": 10.47027, "lon": -66.61934, "name": "Guarenas" }, "waypoint": { "lat": 7.02355, "lon": 37.86084, "name": "Shanto" }, "question": "Is Shanto approximately on the direct path from Quintero to Guarenas?", "ground_truth": { "answer": false, "direct_distance_km": 4838.0, "via_waypoint_km": 23672.5, "detour_km": 18834.5, "detour_percent": 389.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Quintero", " End: Guarenas", " Waypoint: Shanto", "Step 2: Calculate direct distance", " Start → End: 4838.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23672.5 km", "Step 4: Calculate detour", " Detour = 23672.5 - 4838.0 = 18834.5 km", " Detour % = (18834.5 / 4838.0) × 100 = 389.3%", "Step 5: Determine if on route (typically < 10% detour)", " 389.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 34.98333, "lon": 133.46667, "name": "Niimi" }, "end": { "lat": 42.13919, "lon": -87.92896, "name": "Wheeling" }, "waypoint": { "lat": 38.81144, "lon": -90.85291, "name": "Wentzville" }, "question": "Is Wentzville approximately on the direct path from Niimi to Wheeling?", "ground_truth": { "answer": true, "direct_distance_km": 10460.8, "via_waypoint_km": 11074.2, "detour_km": 613.4, "detour_percent": 5.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Niimi", " End: Wheeling", " Waypoint: Wentzville", "Step 2: Calculate direct distance", " Start → End: 10460.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 11074.2 km", "Step 4: Calculate detour", " Detour = 11074.2 - 10460.8 = 613.4 km", " Detour % = (613.4 / 10460.8) × 100 = 5.9%", "Step 5: Determine if on route (typically < 10% detour)", " 5.9% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 38.0025, "lon": 140.19111, "name": "Takahata" }, "end": { "lat": 34.75856, "lon": 136.13108, "name": "Ueno-ebisumachi" }, "waypoint": { "lat": -27.58333, "lon": 153.1, "name": "Eight Mile Plains" }, "question": "Is Eight Mile Plains approximately on the direct path from Takahata to Ueno-ebisumachi?", "ground_truth": { "answer": false, "direct_distance_km": 512.0, "via_waypoint_km": 14573.9, "detour_km": 14061.9, "detour_percent": 2746.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Takahata", " End: Ueno-ebisumachi", " Waypoint: Eight Mile Plains", "Step 2: Calculate direct distance", " Start → End: 512.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14573.9 km", "Step 4: Calculate detour", " Detour = 14573.9 - 512.0 = 14061.9 km", " Detour % = (14061.9 / 512.0) × 100 = 2746.7%", "Step 5: Determine if on route (typically < 10% detour)", " 2746.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 34.09836, "lon": -117.92383, "name": "Vincent" }, "end": { "lat": 19.86006, "lon": -100.82857, "name": "Zinapécuaro" }, "waypoint": { "lat": 11.88993, "lon": 75.35652, "name": "Pallikunnu" }, "question": "Is Pallikunnu approximately on the direct path from Vincent to Zinapécuaro?", "ground_truth": { "answer": false, "direct_distance_km": 2312.0, "via_waypoint_km": 31172.2, "detour_km": 28860.1, "detour_percent": 1248.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Vincent", " End: Zinapécuaro", " Waypoint: Pallikunnu", "Step 2: Calculate direct distance", " Start → End: 2312.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 31172.2 km", "Step 4: Calculate detour", " Detour = 31172.2 - 2312.0 = 28860.1 km", " Detour % = (28860.1 / 2312.0) × 100 = 1248.2%", "Step 5: Determine if on route (typically < 10% detour)", " 1248.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 13.44761, "lon": 144.80109, "name": "Mangilao Village" }, "end": { "lat": 11.271, "lon": 75.88945, "name": "Pūvātūparamba" }, "waypoint": { "lat": 21.93429, "lon": -79.4398, "name": "Sancti Spíritus" }, "question": "Is Sancti Spíritus approximately on the direct path from Mangilao Village to Pūvātūparamba?", "ground_truth": { "answer": false, "direct_distance_km": 7464.5, "via_waypoint_km": 29236.3, "detour_km": 21771.8, "detour_percent": 291.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Mangilao Village", " End: Pūvātūparamba", " Waypoint: Sancti Spíritus", "Step 2: Calculate direct distance", " Start → End: 7464.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 29236.3 km", "Step 4: Calculate detour", " Detour = 29236.3 - 7464.5 = 21771.8 km", " Detour % = (21771.8 / 7464.5) × 100 = 291.7%", "Step 5: Determine if on route (typically < 10% detour)", " 291.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 37.21959, "lon": 68.7802, "name": "Qarāwul" }, "end": { "lat": 37.04248, "lon": 119.47654, "name": "Xiaying" }, "waypoint": { "lat": 39.74595, "lon": -75.54659, "name": "Wilmington" }, "question": "Is Wilmington approximately on the direct path from Qarāwul to Xiaying?", "ground_truth": { "answer": false, "direct_distance_km": 4438.3, "via_waypoint_km": 22053.6, "detour_km": 17615.2, "detour_percent": 396.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Qarāwul", " End: Xiaying", " Waypoint: Wilmington", "Step 2: Calculate direct distance", " Start → End: 4438.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22053.6 km", "Step 4: Calculate detour", " Detour = 22053.6 - 4438.3 = 17615.2 km", " Detour % = (17615.2 / 4438.3) × 100 = 396.9%", "Step 5: Determine if on route (typically < 10% detour)", " 396.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 31.55582, "lon": 31.08918, "name": "Balţīm" }, "end": { "lat": -1.05361, "lon": -46.76556, "name": "Bragança" }, "waypoint": { "lat": 29.38242, "lon": 70.91106, "name": "Alipur" }, "question": "Is Alipur approximately on the direct path from Balţīm to Bragança?", "ground_truth": { "answer": false, "direct_distance_km": 8921.6, "via_waypoint_km": 16528.0, "detour_km": 7606.4, "detour_percent": 85.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Balţīm", " End: Bragança", " Waypoint: Alipur", "Step 2: Calculate direct distance", " Start → End: 8921.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16528.0 km", "Step 4: Calculate detour", " Detour = 16528.0 - 8921.6 = 7606.4 km", " Detour % = (7606.4 / 8921.6) × 100 = 85.3%", "Step 5: Determine if on route (typically < 10% detour)", " 85.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 21.03907, "lon": -104.37116, "name": "Ixtlán del Río" }, "end": { "lat": 0.086, "lon": -76.89528, "name": "Nueva Loja" }, "waypoint": { "lat": 8.55, "lon": 39.26667, "name": "Nazrēt" }, "question": "Is Nazrēt approximately on the direct path from Ixtlán del Río to Nueva Loja?", "ground_truth": { "answer": false, "direct_distance_km": 3785.6, "via_waypoint_km": 27738.2, "detour_km": 23952.6, "detour_percent": 632.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ixtlán del Río", " End: Nueva Loja", " Waypoint: Nazrēt", "Step 2: Calculate direct distance", " Start → End: 3785.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 27738.2 km", "Step 4: Calculate detour", " Detour = 27738.2 - 3785.6 = 23952.6 km", " Detour % = (23952.6 / 3785.6) × 100 = 632.7%", "Step 5: Determine if on route (typically < 10% detour)", " 632.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 32.99472, "lon": 112.53278, "name": "Nanyang" }, "end": { "lat": 42.45306, "lon": 18.5375, "name": "Herceg Novi" }, "waypoint": { "lat": 49.89873, "lon": 10.90067, "name": "Bamberg" }, "question": "Is Bamberg approximately on the direct path from Nanyang to Herceg Novi?", "ground_truth": { "answer": false, "direct_distance_km": 7902.3, "via_waypoint_km": 9029.8, "detour_km": 1127.5, "detour_percent": 14.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Nanyang", " End: Herceg Novi", " Waypoint: Bamberg", "Step 2: Calculate direct distance", " Start → End: 7902.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 9029.8 km", "Step 4: Calculate detour", " Detour = 9029.8 - 7902.3 = 1127.5 km", " Detour % = (1127.5 / 7902.3) × 100 = 14.3%", "Step 5: Determine if on route (typically < 10% detour)", " 14.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 32.75222, "lon": 12.72778, "name": "Zawiya" }, "end": { "lat": 33.16427, "lon": -5.56722, "name": "Mrirt" }, "waypoint": { "lat": 31.7774, "lon": 35.29875, "name": "Ma‘ale Adummim" }, "question": "Is Ma‘ale Adummim approximately on the direct path from Zawiya to Mrirt?", "ground_truth": { "answer": false, "direct_distance_km": 1705.4, "via_waypoint_km": 5933.4, "detour_km": 4228.0, "detour_percent": 247.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Zawiya", " End: Mrirt", " Waypoint: Ma‘ale Adummim", "Step 2: Calculate direct distance", " Start → End: 1705.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 5933.4 km", "Step 4: Calculate detour", " Detour = 5933.4 - 1705.4 = 4228.0 km", " Detour % = (4228.0 / 1705.4) × 100 = 247.9%", "Step 5: Determine if on route (typically < 10% detour)", " 247.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 10.91667, "lon": 79.83333, "name": "Kāraikāl" }, "end": { "lat": 33.20537, "lon": 130.49183, "name": "Chikugo" }, "waypoint": { "lat": 40.02845, "lon": -75.15157, "name": "Logan" }, "question": "Is Logan approximately on the direct path from Kāraikāl to Chikugo?", "ground_truth": { "answer": false, "direct_distance_km": 5710.0, "via_waypoint_km": 25246.6, "detour_km": 19536.5, "detour_percent": 342.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kāraikāl", " End: Chikugo", " Waypoint: Logan", "Step 2: Calculate direct distance", " Start → End: 5710.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 25246.6 km", "Step 4: Calculate detour", " Detour = 25246.6 - 5710.0 = 19536.5 km", " Detour % = (19536.5 / 5710.0) × 100 = 342.1%", "Step 5: Determine if on route (typically < 10% detour)", " 342.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 40.00851, "lon": -3.00731, "name": "Tarancón" }, "end": { "lat": 34.43417, "lon": 117.29833, "name": "Liuquan" }, "waypoint": { "lat": 14.7707, "lon": -91.18344, "name": "Sololá" }, "question": "Is Sololá approximately on the direct path from Tarancón to Liuquan?", "ground_truth": { "answer": false, "direct_distance_km": 9722.3, "via_waypoint_km": 22576.0, "detour_km": 12853.7, "detour_percent": 132.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Tarancón", " End: Liuquan", " Waypoint: Sololá", "Step 2: Calculate direct distance", " Start → End: 9722.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22576.0 km", "Step 4: Calculate detour", " Detour = 22576.0 - 9722.3 = 12853.7 km", " Detour % = (12853.7 / 9722.3) × 100 = 132.2%", "Step 5: Determine if on route (typically < 10% detour)", " 132.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 8.51889, "lon": -80.35727, "name": "Penonomé" }, "end": { "lat": 45.7529, "lon": 130.58452, "name": "Boli" }, "waypoint": { "lat": -8.45, "lon": 33.28333, "name": "Matundasi" }, "question": "Is Matundasi approximately on the direct path from Penonomé to Boli?", "ground_truth": { "answer": false, "direct_distance_km": 13239.0, "via_waypoint_km": 23972.0, "detour_km": 10733.0, "detour_percent": 81.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Penonomé", " End: Boli", " Waypoint: Matundasi", "Step 2: Calculate direct distance", " Start → End: 13239.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23972.0 km", "Step 4: Calculate detour", " Detour = 23972.0 - 13239.0 = 10733.0 km", " Detour % = (10733.0 / 13239.0) × 100 = 81.1%", "Step 5: Determine if on route (typically < 10% detour)", " 81.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 33.16667, "lon": 130.4, "name": "Yanagawa" }, "end": { "lat": 40.84816, "lon": -73.99764, "name": "Palisades Park" }, "waypoint": { "lat": 14.24362, "lon": -16.27231, "name": "Gandiaye" }, "question": "Is Gandiaye approximately on the direct path from Yanagawa to Palisades Park?", "ground_truth": { "answer": false, "direct_distance_km": 11413.2, "via_waypoint_km": 19945.6, "detour_km": 8532.4, "detour_percent": 74.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Yanagawa", " End: Palisades Park", " Waypoint: Gandiaye", "Step 2: Calculate direct distance", " Start → End: 11413.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19945.6 km", "Step 4: Calculate detour", " Detour = 19945.6 - 11413.2 = 8532.4 km", " Detour % = (8532.4 / 11413.2) × 100 = 74.8%", "Step 5: Determine if on route (typically < 10% detour)", " 74.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 14.23333, "lon": 37.0, "name": "Abala" }, "end": { "lat": -27.71773, "lon": -48.56266, "name": "Freguesia do Ribeirao da Ilha" }, "waypoint": { "lat": -25.3676, "lon": -57.59274, "name": "Villa Elisa" }, "question": "Is Villa Elisa approximately on the direct path from Abala to Freguesia do Ribeirao da Ilha?", "ground_truth": { "answer": false, "direct_distance_km": 10313.3, "via_waypoint_km": 12066.5, "detour_km": 1753.2, "detour_percent": 17.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Abala", " End: Freguesia do Ribeirao da Ilha", " Waypoint: Villa Elisa", "Step 2: Calculate direct distance", " Start → End: 10313.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12066.5 km", "Step 4: Calculate detour", " Detour = 12066.5 - 10313.3 = 1753.2 km", " Detour % = (1753.2 / 10313.3) × 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": -37.8, "lon": 144.96667, "name": "Carlton" }, "end": { "lat": -33.90034, "lon": 151.05563, "name": "Greenacre" }, "waypoint": { "lat": 51.845, "lon": 4.32917, "name": "Spijkenisse" }, "question": "Is Spijkenisse approximately on the direct path from Carlton to Greenacre?", "ground_truth": { "answer": false, "direct_distance_km": 699.1, "via_waypoint_km": 33290.8, "detour_km": 32591.6, "detour_percent": 4661.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Carlton", " End: Greenacre", " Waypoint: Spijkenisse", "Step 2: Calculate direct distance", " Start → End: 699.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 33290.8 km", "Step 4: Calculate detour", " Detour = 33290.8 - 699.1 = 32591.6 km", " Detour % = (32591.6 / 699.1) × 100 = 4661.6%", "Step 5: Determine if on route (typically < 10% detour)", " 4661.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 27.93411, "lon": 76.85541, "name": "Tijāra" }, "end": { "lat": 41.62763, "lon": 2.6889, "name": "Pineda de Mar" }, "waypoint": { "lat": -4.32804, "lon": -79.55575, "name": "Cariamanga" }, "question": "Is Cariamanga approximately on the direct path from Tijāra to Pineda de Mar?", "ground_truth": { "answer": false, "direct_distance_km": 6735.0, "via_waypoint_km": 26079.1, "detour_km": 19344.2, "detour_percent": 287.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Tijāra", " End: Pineda de Mar", " Waypoint: Cariamanga", "Step 2: Calculate direct distance", " Start → End: 6735.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 26079.1 km", "Step 4: Calculate detour", " Detour = 26079.1 - 6735.0 = 19344.2 km", " Detour % = (19344.2 / 6735.0) × 100 = 287.2%", "Step 5: Determine if on route (typically < 10% detour)", " 287.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 35.68313, "lon": -5.32871, "name": "Mdiq" }, "end": { "lat": 8.18122, "lon": 9.74431, "name": "Ibi" }, "waypoint": { "lat": 12.979, "lon": 80.19703, "name": "Ullagaram" }, "question": "Is Ullagaram approximately on the direct path from Mdiq to Ibi?", "ground_truth": { "answer": false, "direct_distance_km": 3420.1, "via_waypoint_km": 16469.4, "detour_km": 13049.2, "detour_percent": 381.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Mdiq", " End: Ibi", " Waypoint: Ullagaram", "Step 2: Calculate direct distance", " Start → End: 3420.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16469.4 km", "Step 4: Calculate detour", " Detour = 16469.4 - 3420.1 = 13049.2 km", " Detour % = (13049.2 / 3420.1) × 100 = 381.5%", "Step 5: Determine if on route (typically < 10% detour)", " 381.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 11.65541, "lon": 78.40117, "name": "Vazhapadi" }, "end": { "lat": 31.01887, "lon": 75.79111, "name": "Phillaur" }, "waypoint": { "lat": 40.60188, "lon": -8.67021, "name": "Ílhavo" }, "question": "Is Ílhavo approximately on the direct path from Vazhapadi to Phillaur?", "ground_truth": { "answer": false, "direct_distance_km": 2169.8, "via_waypoint_km": 16321.1, "detour_km": 14151.3, "detour_percent": 652.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Vazhapadi", " End: Phillaur", " Waypoint: Ílhavo", "Step 2: Calculate direct distance", " Start → End: 2169.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16321.1 km", "Step 4: Calculate detour", " Detour = 16321.1 - 2169.8 = 14151.3 km", " Detour % = (14151.3 / 2169.8) × 100 = 652.2%", "Step 5: Determine if on route (typically < 10% detour)", " 652.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 21.33489, "lon": 95.08438, "name": "Pakokku" }, "end": { "lat": 32.00468, "lon": 35.78088, "name": "Al Fuḩayş" }, "waypoint": { "lat": -18.8, "lon": 47.48333, "name": "Ivato" }, "question": "Is Ivato approximately on the direct path from Pakokku to Al Fuḩayş?", "ground_truth": { "answer": false, "direct_distance_km": 5939.2, "via_waypoint_km": 12622.5, "detour_km": 6683.3, "detour_percent": 112.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Pakokku", " End: Al Fuḩayş", " Waypoint: Ivato", "Step 2: Calculate direct distance", " Start → End: 5939.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12622.5 km", "Step 4: Calculate detour", " Detour = 12622.5 - 5939.2 = 6683.3 km", " Detour % = (6683.3 / 5939.2) × 100 = 112.5%", "Step 5: Determine if on route (typically < 10% detour)", " 112.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 23.29908, "lon": 72.33362, "name": "Kadi" }, "end": { "lat": -7.7625, "lon": 110.43167, "name": "Depok" }, "waypoint": { "lat": 60.60357, "lon": 15.62597, "name": "Falun" }, "question": "Is Falun approximately on the direct path from Kadi to Depok?", "ground_truth": { "answer": false, "direct_distance_km": 5392.0, "via_waypoint_km": 16991.9, "detour_km": 11599.9, "detour_percent": 215.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kadi", " End: Depok", " Waypoint: Falun", "Step 2: Calculate direct distance", " Start → End: 5392.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16991.9 km", "Step 4: Calculate detour", " Detour = 16991.9 - 5392.0 = 11599.9 km", " Detour % = (11599.9 / 5392.0) × 100 = 215.1%", "Step 5: Determine if on route (typically < 10% detour)", " 215.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -29.98972, "lon": -52.37806, "name": "Rio Pardo" }, "end": { "lat": -9.44203, "lon": 159.98877, "name": "Vura" }, "waypoint": { "lat": 60.71611, "lon": -135.05375, "name": "Whitehorse" }, "question": "Is Whitehorse approximately on the direct path from Rio Pardo to Vura?", "ground_truth": { "answer": false, "direct_distance_km": 14429.2, "via_waypoint_km": 22122.1, "detour_km": 7692.9, "detour_percent": 53.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Rio Pardo", " End: Vura", " Waypoint: Whitehorse", "Step 2: Calculate direct distance", " Start → End: 14429.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22122.1 km", "Step 4: Calculate detour", " Detour = 22122.1 - 14429.2 = 7692.9 km", " Detour % = (7692.9 / 14429.2) × 100 = 53.3%", "Step 5: Determine if on route (typically < 10% detour)", " 53.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 7.84468, "lon": 98.33897, "name": "Ban Chalong" }, "end": { "lat": 30.45097, "lon": 73.69371, "name": "Haveli Lakha" }, "waypoint": { "lat": -18.0575, "lon": 33.17361, "name": "Catandica" }, "question": "Is Catandica approximately on the direct path from Ban Chalong to Haveli Lakha?", "ground_truth": { "answer": false, "direct_distance_km": 3590.2, "via_waypoint_km": 14626.7, "detour_km": 11036.4, "detour_percent": 307.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ban Chalong", " End: Haveli Lakha", " Waypoint: Catandica", "Step 2: Calculate direct distance", " Start → End: 3590.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14626.7 km", "Step 4: Calculate detour", " Detour = 14626.7 - 3590.2 = 11036.4 km", " Detour % = (11036.4 / 3590.2) × 100 = 307.4%", "Step 5: Determine if on route (typically < 10% detour)", " 307.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 36.20005, "lon": -86.51861, "name": "Mount Juliet" }, "end": { "lat": 9.94283, "lon": 76.33331, "name": "Tripunittura" }, "waypoint": { "lat": -28.71167, "lon": -51.935, "name": "Serafina Corrêa" }, "question": "Is Serafina Corrêa approximately on the direct path from Mount Juliet to Tripunittura?", "ground_truth": { "answer": false, "direct_distance_km": 14579.0, "via_waypoint_km": 22325.1, "detour_km": 7746.1, "detour_percent": 53.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Mount Juliet", " End: Tripunittura", " Waypoint: Serafina Corrêa", "Step 2: Calculate direct distance", " Start → End: 14579.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22325.1 km", "Step 4: Calculate detour", " Detour = 22325.1 - 14579.0 = 7746.1 km", " Detour % = (7746.1 / 14579.0) × 100 = 53.1%", "Step 5: Determine if on route (typically < 10% detour)", " 53.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 29.36857, "lon": -94.97131, "name": "La Marque" }, "end": { "lat": 38.14535, "lon": -85.8583, "name": "Pleasure Ridge Park" }, "waypoint": { "lat": -4.02328, "lon": 19.53385, "name": "Mangai" }, "question": "Is Mangai approximately on the direct path from La Marque to Pleasure Ridge Park?", "ground_truth": { "answer": false, "direct_distance_km": 1287.8, "via_waypoint_km": 24222.2, "detour_km": 22934.3, "detour_percent": 1780.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: La Marque", " End: Pleasure Ridge Park", " Waypoint: Mangai", "Step 2: Calculate direct distance", " Start → End: 1287.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24222.2 km", "Step 4: Calculate detour", " Detour = 24222.2 - 1287.8 = 22934.3 km", " Detour % = (22934.3 / 1287.8) × 100 = 1780.9%", "Step 5: Determine if on route (typically < 10% detour)", " 1780.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 47.04612, "lon": 142.04938, "name": "Kholmsk" }, "end": { "lat": 43.52142, "lon": 13.24368, "name": "Jesi" }, "waypoint": { "lat": 36.80218, "lon": 4.15187, "name": "Boudjima" }, "question": "Is Boudjima approximately on the direct path from Kholmsk to Jesi?", "ground_truth": { "answer": false, "direct_distance_km": 8761.3, "via_waypoint_km": 10866.7, "detour_km": 2105.4, "detour_percent": 24.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kholmsk", " End: Jesi", " Waypoint: Boudjima", "Step 2: Calculate direct distance", " Start → End: 8761.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 10866.7 km", "Step 4: Calculate detour", " Detour = 10866.7 - 8761.3 = 2105.4 km", " Detour % = (2105.4 / 8761.3) × 100 = 24.0%", "Step 5: Determine if on route (typically < 10% detour)", " 24.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -22.4325, "lon": -46.5725, "name": "Monte Sião" }, "end": { "lat": -1.15194, "lon": -48.12944, "name": "Santo Antônio do Tauá" }, "waypoint": { "lat": 52.4333, "lon": 13.30762, "name": "Lichterfelde" }, "question": "Is Lichterfelde approximately on the direct path from Monte Sião to Santo Antônio do Tauá?", "ground_truth": { "answer": false, "direct_distance_km": 2372.3, "via_waypoint_km": 18362.2, "detour_km": 15989.9, "detour_percent": 674.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Monte Sião", " End: Santo Antônio do Tauá", " Waypoint: Lichterfelde", "Step 2: Calculate direct distance", " Start → End: 2372.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18362.2 km", "Step 4: Calculate detour", " Detour = 18362.2 - 2372.3 = 15989.9 km", " Detour % = (15989.9 / 2372.3) × 100 = 674.0%", "Step 5: Determine if on route (typically < 10% detour)", " 674.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -8.1181, "lon": 111.8935, "name": "Boyolangu" }, "end": { "lat": 40.51472, "lon": 21.67861, "name": "Ptolemaḯda" }, "waypoint": { "lat": -31.53726, "lon": -68.52568, "name": "San Juan" }, "question": "Is San Juan approximately on the direct path from Boyolangu to Ptolemaḯda?", "ground_truth": { "answer": false, "direct_distance_km": 10610.9, "via_waypoint_km": 27837.4, "detour_km": 17226.5, "detour_percent": 162.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Boyolangu", " End: Ptolemaḯda", " Waypoint: San Juan", "Step 2: Calculate direct distance", " Start → End: 10610.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 27837.4 km", "Step 4: Calculate detour", " Detour = 27837.4 - 10610.9 = 17226.5 km", " Detour % = (17226.5 / 10610.9) × 100 = 162.3%", "Step 5: Determine if on route (typically < 10% detour)", " 162.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 21.5543, "lon": 74.01922, "name": "Akalkuva" }, "end": { "lat": 37.15964, "lon": 9.7606, "name": "Tinja" }, "waypoint": { "lat": -3.51667, "lon": 33.51667, "name": "Songwa" }, "question": "Is Songwa approximately on the direct path from Akalkuva to Tinja?", "ground_truth": { "answer": false, "direct_distance_km": 6344.2, "via_waypoint_km": 10361.7, "detour_km": 4017.5, "detour_percent": 63.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Akalkuva", " End: Tinja", " Waypoint: Songwa", "Step 2: Calculate direct distance", " Start → End: 6344.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 10361.7 km", "Step 4: Calculate detour", " Detour = 10361.7 - 6344.2 = 4017.5 km", " Detour % = (4017.5 / 6344.2) × 100 = 63.3%", "Step 5: Determine if on route (typically < 10% detour)", " 63.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -28.44917, "lon": -52.2, "name": "Marau" }, "end": { "lat": 34.80447, "lon": 136.54645, "name": "Kawage" }, "waypoint": { "lat": -5.63333, "lon": 32.76667, "name": "Sikonge" }, "question": "Is Sikonge approximately on the direct path from Marau to Kawage?", "ground_truth": { "answer": false, "direct_distance_km": 18927.3, "via_waypoint_km": 20840.3, "detour_km": 1913.0, "detour_percent": 10.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Marau", " End: Kawage", " Waypoint: Sikonge", "Step 2: Calculate direct distance", " Start → End: 18927.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20840.3 km", "Step 4: Calculate detour", " Detour = 20840.3 - 18927.3 = 1913.0 km", " Detour % = (1913.0 / 18927.3) × 100 = 10.1%", "Step 5: Determine if on route (typically < 10% detour)", " 10.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -37.8, "lon": 144.9, "name": "Footscray" }, "end": { "lat": 19.3727, "lon": -99.1564, "name": "Benito Juárez" }, "waypoint": { "lat": 8.94153, "lon": 8.60315, "name": "Wamba" }, "question": "Is Wamba approximately on the direct path from Footscray to Benito Juárez?", "ground_truth": { "answer": false, "direct_distance_km": 13562.0, "via_waypoint_km": 26099.8, "detour_km": 12537.8, "detour_percent": 92.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Footscray", " End: Benito Juárez", " Waypoint: Wamba", "Step 2: Calculate direct distance", " Start → End: 13562.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 26099.8 km", "Step 4: Calculate detour", " Detour = 26099.8 - 13562.0 = 12537.8 km", " Detour % = (12537.8 / 13562.0) × 100 = 92.4%", "Step 5: Determine if on route (typically < 10% detour)", " 92.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -22.15757, "lon": 166.4572, "name": "Dumbéa" }, "end": { "lat": 23.18239, "lon": 75.77643, "name": "Ujjain" }, "waypoint": { "lat": -26.84493, "lon": 26.76829, "name": "Stilfontein" }, "question": "Is Stilfontein approximately on the direct path from Dumbéa to Ujjain?", "ground_truth": { "answer": false, "direct_distance_km": 11022.2, "via_waypoint_km": 20711.1, "detour_km": 9689.0, "detour_percent": 87.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Dumbéa", " End: Ujjain", " Waypoint: Stilfontein", "Step 2: Calculate direct distance", " Start → End: 11022.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20711.1 km", "Step 4: Calculate detour", " Detour = 20711.1 - 11022.2 = 9689.0 km", " Detour % = (9689.0 / 11022.2) × 100 = 87.9%", "Step 5: Determine if on route (typically < 10% detour)", " 87.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -20.58333, "lon": 48.53333, "name": "Nosy Varika" }, "end": { "lat": -22.52306, "lon": -44.10417, "name": "Volta Redonda" }, "waypoint": { "lat": 22.49183, "lon": 92.98143, "name": "Saiha" }, "question": "Is Saiha approximately on the direct path from Nosy Varika to Volta Redonda?", "ground_truth": { "answer": false, "direct_distance_km": 9402.2, "via_waypoint_km": 22418.7, "detour_km": 13016.6, "detour_percent": 138.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Nosy Varika", " End: Volta Redonda", " Waypoint: Saiha", "Step 2: Calculate direct distance", " Start → End: 9402.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22418.7 km", "Step 4: Calculate detour", " Detour = 22418.7 - 9402.2 = 13016.6 km", " Detour % = (13016.6 / 9402.2) × 100 = 138.4%", "Step 5: Determine if on route (typically < 10% detour)", " 138.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 46.25917, "lon": 5.65727, "name": "Oyonnax" }, "end": { "lat": -4.47, "lon": -38.90139, "name": "Capistrano" }, "waypoint": { "lat": 42.3751, "lon": -71.03922, "name": "East Boston" }, "question": "Is East Boston approximately on the direct path from Oyonnax to Capistrano?", "ground_truth": { "answer": false, "direct_distance_km": 7141.5, "via_waypoint_km": 12007.0, "detour_km": 4865.5, "detour_percent": 68.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Oyonnax", " End: Capistrano", " Waypoint: East Boston", "Step 2: Calculate direct distance", " Start → End: 7141.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12007.0 km", "Step 4: Calculate detour", " Detour = 12007.0 - 7141.5 = 4865.5 km", " Detour % = (4865.5 / 7141.5) × 100 = 68.1%", "Step 5: Determine if on route (typically < 10% detour)", " 68.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 36.71715, "lon": -4.27583, "name": "Rincón de la Victoria" }, "end": { "lat": 12.74409, "lon": -8.07257, "name": "Kati" }, "waypoint": { "lat": 31.58229, "lon": 30.98095, "name": "Al Burj" }, "question": "Is Al Burj approximately on the direct path from Rincón de la Victoria to Kati?", "ground_truth": { "answer": false, "direct_distance_km": 2692.5, "via_waypoint_km": 7775.2, "detour_km": 5082.7, "detour_percent": 188.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Rincón de la Victoria", " End: Kati", " Waypoint: Al Burj", "Step 2: Calculate direct distance", " Start → End: 2692.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 7775.2 km", "Step 4: Calculate detour", " Detour = 7775.2 - 2692.5 = 5082.7 km", " Detour % = (5082.7 / 2692.5) × 100 = 188.8%", "Step 5: Determine if on route (typically < 10% detour)", " 188.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 27.83333, "lon": 113.15, "name": "Zhuzhou" }, "end": { "lat": -27.18871, "lon": 25.32931, "name": "Schweizer-Reneke" }, "waypoint": { "lat": 4.83916, "lon": -75.66727, "name": "Dosquebradas" }, "question": "Is Dosquebradas approximately on the direct path from Zhuzhou to Schweizer-Reneke?", "ground_truth": { "answer": false, "direct_distance_km": 11182.8, "via_waypoint_km": 27600.9, "detour_km": 16418.1, "detour_percent": 146.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Zhuzhou", " End: Schweizer-Reneke", " Waypoint: Dosquebradas", "Step 2: Calculate direct distance", " Start → End: 11182.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 27600.9 km", "Step 4: Calculate detour", " Detour = 27600.9 - 11182.8 = 16418.1 km", " Detour % = (16418.1 / 11182.8) × 100 = 146.8%", "Step 5: Determine if on route (typically < 10% detour)", " 146.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 31.58029, "lon": 35.10178, "name": "Ḩalḩūl" }, "end": { "lat": 21.14268, "lon": -88.15101, "name": "Tizimín" }, "waypoint": { "lat": 44.47588, "lon": -73.21207, "name": "Burlington" }, "question": "Is Burlington approximately on the direct path from Ḩalḩūl to Tizimín?", "ground_truth": { "answer": true, "direct_distance_km": 11596.3, "via_waypoint_km": 11816.4, "detour_km": 220.1, "detour_percent": 1.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ḩalḩūl", " End: Tizimín", " Waypoint: Burlington", "Step 2: Calculate direct distance", " Start → End: 11596.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 11816.4 km", "Step 4: Calculate detour", " Detour = 11816.4 - 11596.3 = 220.1 km", " Detour % = (220.1 / 11596.3) × 100 = 1.9%", "Step 5: Determine if on route (typically < 10% detour)", " 1.9% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -22.82223, "lon": 47.82615, "name": "Farafangana" }, "end": { "lat": -27.94972, "lon": -51.80667, "name": "Sananduva" }, "waypoint": { "lat": 17.44088, "lon": 81.77558, "name": "Rampachodavaram" }, "question": "Is Rampachodavaram approximately on the direct path from Farafangana to Sananduva?", "ground_truth": { "answer": false, "direct_distance_km": 9717.2, "via_waypoint_km": 20944.2, "detour_km": 11226.9, "detour_percent": 115.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Farafangana", " End: Sananduva", " Waypoint: Rampachodavaram", "Step 2: Calculate direct distance", " Start → End: 9717.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20944.2 km", "Step 4: Calculate detour", " Detour = 20944.2 - 9717.2 = 11226.9 km", " Detour % = (11226.9 / 9717.2) × 100 = 115.5%", "Step 5: Determine if on route (typically < 10% detour)", " 115.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 20.55257, "lon": -100.41511, "name": "San José de los Olvera" }, "end": { "lat": 5.91793, "lon": 0.98789, "name": "Keta" }, "waypoint": { "lat": 34.52813, "lon": 69.17233, "name": "Kabul" }, "question": "Is Kabul approximately on the direct path from San José de los Olvera to Keta?", "ground_truth": { "answer": false, "direct_distance_km": 10953.6, "via_waypoint_km": 21433.2, "detour_km": 10479.7, "detour_percent": 95.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: San José de los Olvera", " End: Keta", " Waypoint: Kabul", "Step 2: Calculate direct distance", " Start → End: 10953.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21433.2 km", "Step 4: Calculate detour", " Detour = 21433.2 - 10953.6 = 10479.7 km", " Detour % = (10479.7 / 10953.6) × 100 = 95.7%", "Step 5: Determine if on route (typically < 10% detour)", " 95.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 40.20686, "lon": -8.41996, "name": "Coimbra" }, "end": { "lat": 9.03333, "lon": 38.15, "name": "Gīnch’ī" }, "waypoint": { "lat": 42.81424, "lon": -73.93957, "name": "Schenectady" }, "question": "Is Schenectady approximately on the direct path from Coimbra to Gīnch’ī?", "ground_truth": { "answer": false, "direct_distance_km": 5748.0, "via_waypoint_km": 16390.6, "detour_km": 10642.7, "detour_percent": 185.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Coimbra", " End: Gīnch’ī", " Waypoint: Schenectady", "Step 2: Calculate direct distance", " Start → End: 5748.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16390.6 km", "Step 4: Calculate detour", " Detour = 16390.6 - 5748.0 = 10642.7 km", " Detour % = (10642.7 / 5748.0) × 100 = 185.2%", "Step 5: Determine if on route (typically < 10% detour)", " 185.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -38.68333, "lon": 176.08333, "name": "Taupo" }, "end": { "lat": 41.1485, "lon": -8.61097, "name": "Porto" }, "waypoint": { "lat": 38.05586, "lon": 23.70515, "name": "Kamaterón" }, "question": "Is Kamaterón approximately on the direct path from Taupo to Porto?", "ground_truth": { "answer": true, "direct_distance_km": 19530.0, "via_waypoint_km": 20389.0, "detour_km": 859.0, "detour_percent": 4.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Taupo", " End: Porto", " Waypoint: Kamaterón", "Step 2: Calculate direct distance", " Start → End: 19530.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20389.0 km", "Step 4: Calculate detour", " Detour = 20389.0 - 19530.0 = 859.0 km", " Detour % = (859.0 / 19530.0) × 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": 25.61988, "lon": 32.54305, "name": "Armant" }, "end": { "lat": 31.20365, "lon": 30.54908, "name": "Fuwwah" }, "waypoint": { "lat": 51.40547, "lon": 19.70321, "name": "Piotrków Trybunalski" }, "question": "Is Piotrków Trybunalski approximately on the direct path from Armant to Fuwwah?", "ground_truth": { "answer": false, "direct_distance_km": 650.7, "via_waypoint_km": 5482.8, "detour_km": 4832.1, "detour_percent": 742.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Armant", " End: Fuwwah", " Waypoint: Piotrków Trybunalski", "Step 2: Calculate direct distance", " Start → End: 650.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 5482.8 km", "Step 4: Calculate detour", " Detour = 5482.8 - 650.7 = 4832.1 km", " Detour % = (4832.1 / 650.7) × 100 = 742.5%", "Step 5: Determine if on route (typically < 10% detour)", " 742.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 27.03766, "lon": 14.42832, "name": "Sabha" }, "end": { "lat": -0.71933, "lon": 8.78151, "name": "Port-Gentil" }, "waypoint": { "lat": 41.79586, "lon": -87.97562, "name": "Westmont" }, "question": "Is Westmont approximately on the direct path from Sabha to Port-Gentil?", "ground_truth": { "answer": false, "direct_distance_km": 3145.0, "via_waypoint_km": 19602.3, "detour_km": 16457.2, "detour_percent": 523.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Sabha", " End: Port-Gentil", " Waypoint: Westmont", "Step 2: Calculate direct distance", " Start → End: 3145.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19602.3 km", "Step 4: Calculate detour", " Detour = 19602.3 - 3145.0 = 16457.2 km", " Detour % = (16457.2 / 3145.0) × 100 = 523.3%", "Step 5: Determine if on route (typically < 10% detour)", " 523.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 39.44116, "lon": 140.48961, "name": "Daisen" }, "end": { "lat": 10.0136, "lon": 76.26306, "name": "Mulavukad" }, "waypoint": { "lat": 18.55, "lon": 31.85, "name": "Kuraymah" }, "question": "Is Kuraymah approximately on the direct path from Daisen to Mulavukad?", "ground_truth": { "answer": false, "direct_distance_km": 7096.8, "via_waypoint_km": 15077.1, "detour_km": 7980.3, "detour_percent": 112.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Daisen", " End: Mulavukad", " Waypoint: Kuraymah", "Step 2: Calculate direct distance", " Start → End: 7096.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15077.1 km", "Step 4: Calculate detour", " Detour = 15077.1 - 7096.8 = 7980.3 km", " Detour % = (7980.3 / 7096.8) × 100 = 112.4%", "Step 5: Determine if on route (typically < 10% detour)", " 112.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 52.18848, "lon": 8.6922, "name": "Löhne" }, "end": { "lat": 38.07438, "lon": 23.81106, "name": "Kifisiá" }, "waypoint": { "lat": -41.28374, "lon": 174.74141, "name": "Karori" }, "question": "Is Karori approximately on the direct path from Löhne to Kifisiá?", "ground_truth": { "answer": false, "direct_distance_km": 1958.8, "via_waypoint_km": 35921.8, "detour_km": 33963.0, "detour_percent": 1733.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Löhne", " End: Kifisiá", " Waypoint: Karori", "Step 2: Calculate direct distance", " Start → End: 1958.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 35921.8 km", "Step 4: Calculate detour", " Detour = 35921.8 - 1958.8 = 33963.0 km", " Detour % = (33963.0 / 1958.8) × 100 = 1733.9%", "Step 5: Determine if on route (typically < 10% detour)", " 1733.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 42.29732, "lon": -71.0745, "name": "Dorchester" }, "end": { "lat": -23.52927, "lon": -46.73437, "name": "Vila Leopoldina" }, "waypoint": { "lat": -7.66778, "lon": -35.10167, "name": "Itaquitinga" }, "question": "Is Itaquitinga approximately on the direct path from Dorchester to Vila Leopoldina?", "ground_truth": { "answer": false, "direct_distance_km": 7734.8, "via_waypoint_km": 8802.7, "detour_km": 1067.9, "detour_percent": 13.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Dorchester", " End: Vila Leopoldina", " Waypoint: Itaquitinga", "Step 2: Calculate direct distance", " Start → End: 7734.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 8802.7 km", "Step 4: Calculate detour", " Detour = 8802.7 - 7734.8 = 1067.9 km", " Detour % = (1067.9 / 7734.8) × 100 = 13.8%", "Step 5: Determine if on route (typically < 10% detour)", " 13.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 24.68413, "lon": 113.59839, "name": "Maba" }, "end": { "lat": 11.45496, "lon": 77.4422, "name": "Gobichettipalayam" }, "waypoint": { "lat": 37.13179, "lon": -80.57645, "name": "Radford" }, "question": "Is Radford approximately on the direct path from Maba to Gobichettipalayam?", "ground_truth": { "answer": false, "direct_distance_km": 4078.9, "via_waypoint_km": 27127.8, "detour_km": 23048.9, "detour_percent": 565.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Maba", " End: Gobichettipalayam", " Waypoint: Radford", "Step 2: Calculate direct distance", " Start → End: 4078.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 27127.8 km", "Step 4: Calculate detour", " Detour = 27127.8 - 4078.9 = 23048.9 km", " Detour % = (23048.9 / 4078.9) × 100 = 565.1%", "Step 5: Determine if on route (typically < 10% detour)", " 565.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 11.27543, "lon": 25.14026, "name": "Gereida" }, "end": { "lat": -3.39605, "lon": 38.55609, "name": "Voi" }, "waypoint": { "lat": 48.94094, "lon": 8.40763, "name": "Ettlingen" }, "question": "Is Ettlingen approximately on the direct path from Gereida to Voi?", "ground_truth": { "answer": false, "direct_distance_km": 2205.4, "via_waypoint_km": 10971.1, "detour_km": 8765.7, "detour_percent": 397.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Gereida", " End: Voi", " Waypoint: Ettlingen", "Step 2: Calculate direct distance", " Start → End: 2205.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 10971.1 km", "Step 4: Calculate detour", " Detour = 10971.1 - 2205.4 = 8765.7 km", " Detour % = (8765.7 / 2205.4) × 100 = 397.5%", "Step 5: Determine if on route (typically < 10% detour)", " 397.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 42.08343, "lon": -71.01838, "name": "Brockton" }, "end": { "lat": -18.7, "lon": 47.78333, "name": "Ankazondandy" }, "waypoint": { "lat": 33.27732, "lon": -7.23236, "name": "El Gara" }, "question": "Is El Gara approximately on the direct path from Brockton to Ankazondandy?", "ground_truth": { "answer": true, "direct_distance_km": 13745.0, "via_waypoint_km": 13779.8, "detour_km": 34.8, "detour_percent": 0.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Brockton", " End: Ankazondandy", " Waypoint: El Gara", "Step 2: Calculate direct distance", " Start → End: 13745.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13779.8 km", "Step 4: Calculate detour", " Detour = 13779.8 - 13745.0 = 34.8 km", " Detour % = (34.8 / 13745.0) × 100 = 0.3%", "Step 5: Determine if on route (typically < 10% detour)", " 0.3% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -37.88333, "lon": 145.21667, "name": "Wantirna South" }, "end": { "lat": 25.61281, "lon": 88.12449, "name": "Rāiganj" }, "waypoint": { "lat": -15.83326, "lon": -48.05506, "name": "Taguatinga" }, "question": "Is Taguatinga approximately on the direct path from Wantirna South to Rāiganj?", "ground_truth": { "answer": false, "direct_distance_km": 9233.4, "via_waypoint_km": 29235.1, "detour_km": 20001.7, "detour_percent": 216.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Wantirna South", " End: Rāiganj", " Waypoint: Taguatinga", "Step 2: Calculate direct distance", " Start → End: 9233.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 29235.1 km", "Step 4: Calculate detour", " Detour = 29235.1 - 9233.4 = 20001.7 km", " Detour % = (20001.7 / 9233.4) × 100 = 216.6%", "Step 5: Determine if on route (typically < 10% detour)", " 216.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -23.54015, "lon": -46.48581, "name": "Artur Alvim" }, "end": { "lat": 30.28321, "lon": 57.07879, "name": "Kerman" }, "waypoint": { "lat": 31.75685, "lon": 110.67252, "name": "Songbai" }, "question": "Is Songbai approximately on the direct path from Artur Alvim to Kerman?", "ground_truth": { "answer": false, "direct_distance_km": 12539.8, "via_waypoint_km": 22649.9, "detour_km": 10110.1, "detour_percent": 80.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Artur Alvim", " End: Kerman", " Waypoint: Songbai", "Step 2: Calculate direct distance", " Start → End: 12539.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22649.9 km", "Step 4: Calculate detour", " Detour = 22649.9 - 12539.8 = 10110.1 km", " Detour % = (10110.1 / 12539.8) × 100 = 80.6%", "Step 5: Determine if on route (typically < 10% detour)", " 80.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 14.40118, "lon": 33.51989, "name": "Wad Medani" }, "end": { "lat": -2.5845, "lon": 30.0959, "name": "Kirundo" }, "waypoint": { "lat": -18.9707, "lon": 32.67086, "name": "Mutare" }, "question": "Is Mutare approximately on the direct path from Wad Medani to Kirundo?", "ground_truth": { "answer": false, "direct_distance_km": 1926.0, "via_waypoint_km": 5555.4, "detour_km": 3629.4, "detour_percent": 188.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Wad Medani", " End: Kirundo", " Waypoint: Mutare", "Step 2: Calculate direct distance", " Start → End: 1926.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 5555.4 km", "Step 4: Calculate detour", " Detour = 5555.4 - 1926.0 = 3629.4 km", " Detour % = (3629.4 / 1926.0) × 100 = 188.4%", "Step 5: Determine if on route (typically < 10% detour)", " 188.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 49.51631, "lon": 23.2006, "name": "Sambir" }, "end": { "lat": 15.61444, "lon": -87.95302, "name": "Choloma" }, "waypoint": { "lat": 48.29316, "lon": -122.64322, "name": "Oak Harbor" }, "question": "Is Oak Harbor approximately on the direct path from Sambir to Choloma?", "ground_truth": { "answer": false, "direct_distance_km": 10140.8, "via_waypoint_km": 13471.5, "detour_km": 3330.7, "detour_percent": 32.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Sambir", " End: Choloma", " Waypoint: Oak Harbor", "Step 2: Calculate direct distance", " Start → End: 10140.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13471.5 km", "Step 4: Calculate detour", " Detour = 13471.5 - 10140.8 = 3330.7 km", " Detour % = (3330.7 / 10140.8) × 100 = 32.8%", "Step 5: Determine if on route (typically < 10% detour)", " 32.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 29.29026, "lon": 77.94939, "name": "Mīrānpur" }, "end": { "lat": 7.2083, "lon": 79.8358, "name": "Negombo" }, "waypoint": { "lat": 29.385, "lon": 30.557, "name": "Yūsuf aṣ-Ṣiddīq" }, "question": "Is Yūsuf aṣ-Ṣiddīq approximately on the direct path from Mīrānpur to Negombo?", "ground_truth": { "answer": false, "direct_distance_km": 2463.3, "via_waypoint_km": 10262.9, "detour_km": 7799.6, "detour_percent": 316.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Mīrānpur", " End: Negombo", " Waypoint: Yūsuf aṣ-Ṣiddīq", "Step 2: Calculate direct distance", " Start → End: 2463.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 10262.9 km", "Step 4: Calculate detour", " Detour = 10262.9 - 2463.3 = 7799.6 km", " Detour % = (7799.6 / 2463.3) × 100 = 316.6%", "Step 5: Determine if on route (typically < 10% detour)", " 316.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 45.2629, "lon": -122.69259, "name": "Canby" }, "end": { "lat": -30.28666, "lon": 30.75316, "name": "Scottburgh" }, "waypoint": { "lat": 7.97022, "lon": 3.59626, "name": "Iseyin" }, "question": "Is Iseyin approximately on the direct path from Canby to Scottburgh?", "ground_truth": { "answer": true, "direct_distance_km": 17169.8, "via_waypoint_km": 17190.4, "detour_km": 20.7, "detour_percent": 0.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Canby", " End: Scottburgh", " Waypoint: Iseyin", "Step 2: Calculate direct distance", " Start → End: 17169.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17190.4 km", "Step 4: Calculate detour", " Detour = 17190.4 - 17169.8 = 20.7 km", " Detour % = (20.7 / 17169.8) × 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": -37.0393, "lon": 174.92815, "name": "Takanini" }, "end": { "lat": 8.76171, "lon": -70.41199, "name": "Barinitas" }, "waypoint": { "lat": 6.25532, "lon": 45.3853, "name": "Lasoano" }, "question": "Is Lasoano approximately on the direct path from Takanini to Barinitas?", "ground_truth": { "answer": false, "direct_distance_km": 12775.4, "via_waypoint_km": 26583.4, "detour_km": 13808.0, "detour_percent": 108.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Takanini", " End: Barinitas", " Waypoint: Lasoano", "Step 2: Calculate direct distance", " Start → End: 12775.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 26583.4 km", "Step 4: Calculate detour", " Detour = 26583.4 - 12775.4 = 13808.0 km", " Detour % = (13808.0 / 12775.4) × 100 = 108.1%", "Step 5: Determine if on route (typically < 10% detour)", " 108.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 40.80114, "lon": 14.54066, "name": "Poggiomarino" }, "end": { "lat": -18.44833, "lon": -50.45167, "name": "Quirinópolis" }, "waypoint": { "lat": 33.99399, "lon": -96.37082, "name": "Durant" }, "question": "Is Durant approximately on the direct path from Poggiomarino to Quirinópolis?", "ground_truth": { "answer": false, "direct_distance_km": 9390.0, "via_waypoint_km": 16695.5, "detour_km": 7305.6, "detour_percent": 77.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Poggiomarino", " End: Quirinópolis", " Waypoint: Durant", "Step 2: Calculate direct distance", " Start → End: 9390.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16695.5 km", "Step 4: Calculate detour", " Detour = 16695.5 - 9390.0 = 7305.6 km", " Detour % = (7305.6 / 9390.0) × 100 = 77.8%", "Step 5: Determine if on route (typically < 10% detour)", " 77.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 51.37891, "lon": 0.52786, "name": "Chatham" }, "end": { "lat": 41.46042, "lon": 69.16791, "name": "Saryaghash" }, "waypoint": { "lat": -4.78333, "lon": 38.28333, "name": "Lushoto" }, "question": "Is Lushoto approximately on the direct path from Chatham to Saryaghash?", "ground_truth": { "answer": false, "direct_distance_km": 5176.6, "via_waypoint_km": 13220.5, "detour_km": 8043.9, "detour_percent": 155.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Chatham", " End: Saryaghash", " Waypoint: Lushoto", "Step 2: Calculate direct distance", " Start → End: 5176.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13220.5 km", "Step 4: Calculate detour", " Detour = 13220.5 - 5176.6 = 8043.9 km", " Detour % = (8043.9 / 5176.6) × 100 = 155.4%", "Step 5: Determine if on route (typically < 10% detour)", " 155.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -10.71667, "lon": 38.8, "name": "Masasi" }, "end": { "lat": 9.50511, "lon": -7.56433, "name": "Odienné" }, "waypoint": { "lat": 53.46667, "lon": 9.8, "name": "Neu Wulmstorf" }, "question": "Is Neu Wulmstorf approximately on the direct path from Masasi to Odienné?", "ground_truth": { "answer": false, "direct_distance_km": 5599.3, "via_waypoint_km": 12775.8, "detour_km": 7176.5, "detour_percent": 128.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Masasi", " End: Odienné", " Waypoint: Neu Wulmstorf", "Step 2: Calculate direct distance", " Start → End: 5599.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12775.8 km", "Step 4: Calculate detour", " Detour = 12775.8 - 5599.3 = 7176.5 km", " Detour % = (7176.5 / 5599.3) × 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": -25.5036, "lon": -54.65067, "name": "Ciudad del Este" }, "end": { "lat": 17.48486, "lon": 78.41376, "name": "Kukatpally" }, "waypoint": { "lat": 38.80033, "lon": -90.62651, "name": "Saint Peters" }, "question": "Is Saint Peters approximately on the direct path from Ciudad del Este to Kukatpally?", "ground_truth": { "answer": false, "direct_distance_km": 15102.7, "via_waypoint_km": 21723.3, "detour_km": 6620.6, "detour_percent": 43.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ciudad del Este", " End: Kukatpally", " Waypoint: Saint Peters", "Step 2: Calculate direct distance", " Start → End: 15102.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21723.3 km", "Step 4: Calculate detour", " Detour = 21723.3 - 15102.7 = 6620.6 km", " Detour % = (6620.6 / 15102.7) × 100 = 43.8%", "Step 5: Determine if on route (typically < 10% detour)", " 43.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 36.1168, "lon": 36.51522, "name": "Kafr Takhārīm" }, "end": { "lat": 51.05386, "lon": 13.81393, "name": "Loschwitz" }, "waypoint": { "lat": 19.51594, "lon": -101.60887, "name": "Pátzcuaro" }, "question": "Is Pátzcuaro approximately on the direct path from Kafr Takhārīm to Loschwitz?", "ground_truth": { "answer": false, "direct_distance_km": 2451.6, "via_waypoint_km": 22395.1, "detour_km": 19943.5, "detour_percent": 813.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kafr Takhārīm", " End: Loschwitz", " Waypoint: Pátzcuaro", "Step 2: Calculate direct distance", " Start → End: 2451.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22395.1 km", "Step 4: Calculate detour", " Detour = 22395.1 - 2451.6 = 19943.5 km", " Detour % = (19943.5 / 2451.6) × 100 = 813.5%", "Step 5: Determine if on route (typically < 10% detour)", " 813.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 50.96264, "lon": 16.35006, "name": "Strzegom" }, "end": { "lat": 12.25263, "lon": -2.36272, "name": "Koudougou" }, "waypoint": { "lat": 8.1, "lon": 36.95, "name": "Suntu" }, "question": "Is Suntu approximately on the direct path from Strzegom to Koudougou?", "ground_truth": { "answer": false, "direct_distance_km": 4625.8, "via_waypoint_km": 9452.1, "detour_km": 4826.3, "detour_percent": 104.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Strzegom", " End: Koudougou", " Waypoint: Suntu", "Step 2: Calculate direct distance", " Start → End: 4625.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 9452.1 km", "Step 4: Calculate detour", " Detour = 9452.1 - 4625.8 = 4826.3 km", " Detour % = (4826.3 / 4625.8) × 100 = 104.3%", "Step 5: Determine if on route (typically < 10% detour)", " 104.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 51.87598, "lon": 36.90535, "name": "Shchigry" }, "end": { "lat": 29.9, "lon": 31.25, "name": "Al Ḩawāmidīyah" }, "waypoint": { "lat": 35.50472, "lon": 11.06222, "name": "Mahdia" }, "question": "Is Mahdia approximately on the direct path from Shchigry to Al Ḩawāmidīyah?", "ground_truth": { "answer": false, "direct_distance_km": 2487.6, "via_waypoint_km": 4720.8, "detour_km": 2233.2, "detour_percent": 89.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Shchigry", " End: Al Ḩawāmidīyah", " Waypoint: Mahdia", "Step 2: Calculate direct distance", " Start → End: 2487.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 4720.8 km", "Step 4: Calculate detour", " Detour = 4720.8 - 2487.6 = 2233.2 km", " Detour % = (2233.2 / 2487.6) × 100 = 89.8%", "Step 5: Determine if on route (typically < 10% detour)", " 89.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 10.5945, "lon": -66.95624, "name": "Maiquetía" }, "end": { "lat": 36.37285, "lon": -94.20882, "name": "Bentonville" }, "waypoint": { "lat": 59.93111, "lon": 30.36072, "name": "Centralniy" }, "question": "Is Centralniy approximately on the direct path from Maiquetía to Bentonville?", "ground_truth": { "answer": false, "direct_distance_km": 3963.7, "via_waypoint_km": 17563.3, "detour_km": 13599.6, "detour_percent": 343.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Maiquetía", " End: Bentonville", " Waypoint: Centralniy", "Step 2: Calculate direct distance", " Start → End: 3963.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17563.3 km", "Step 4: Calculate detour", " Detour = 17563.3 - 3963.7 = 13599.6 km", " Detour % = (13599.6 / 3963.7) × 100 = 343.1%", "Step 5: Determine if on route (typically < 10% detour)", " 343.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 29.25722, "lon": 48.05722, "name": "Şabāḩ as Sālim" }, "end": { "lat": 27.83333, "lon": 100.66667, "name": "Yongning" }, "waypoint": { "lat": 34.69999, "lon": 10.69501, "name": "Sidi Abid" }, "question": "Is Sidi Abid approximately on the direct path from Şabāḩ as Sālim to Yongning?", "ground_truth": { "answer": false, "direct_distance_km": 5097.0, "via_waypoint_km": 11846.2, "detour_km": 6749.1, "detour_percent": 132.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Şabāḩ as Sālim", " End: Yongning", " Waypoint: Sidi Abid", "Step 2: Calculate direct distance", " Start → End: 5097.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 11846.2 km", "Step 4: Calculate detour", " Detour = 11846.2 - 5097.0 = 6749.1 km", " Detour % = (6749.1 / 5097.0) × 100 = 132.4%", "Step 5: Determine if on route (typically < 10% detour)", " 132.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 12.59371, "lon": 6.58648, "name": "Kaura Namoda" }, "end": { "lat": 42.795, "lon": -8.548, "name": "Teo" }, "waypoint": { "lat": -10.66667, "lon": -77.83333, "name": "Paramonga" }, "question": "Is Paramonga approximately on the direct path from Kaura Namoda to Teo?", "ground_truth": { "answer": false, "direct_distance_km": 3660.6, "via_waypoint_km": 18851.7, "detour_km": 15191.1, "detour_percent": 415.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kaura Namoda", " End: Teo", " Waypoint: Paramonga", "Step 2: Calculate direct distance", " Start → End: 3660.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18851.7 km", "Step 4: Calculate detour", " Detour = 18851.7 - 3660.6 = 15191.1 km", " Detour % = (15191.1 / 3660.6) × 100 = 415.0%", "Step 5: Determine if on route (typically < 10% detour)", " 415.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 2.86218, "lon": 30.84138, "name": "Aru" }, "end": { "lat": 9.53567, "lon": 99.93567, "name": "Ko Samui" }, "waypoint": { "lat": 37.40862, "lon": 139.81317, "name": "Aizu-misato Machi" }, "question": "Is Aizu-misato Machi approximately on the direct path from Aru to Ko Samui?", "ground_truth": { "answer": false, "direct_distance_km": 7663.1, "via_waypoint_km": 16521.7, "detour_km": 8858.6, "detour_percent": 115.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Aru", " End: Ko Samui", " Waypoint: Aizu-misato Machi", "Step 2: Calculate direct distance", " Start → End: 7663.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16521.7 km", "Step 4: Calculate detour", " Detour = 16521.7 - 7663.1 = 8858.6 km", " Detour % = (8858.6 / 7663.1) × 100 = 115.6%", "Step 5: Determine if on route (typically < 10% detour)", " 115.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 50.88637, "lon": 7.0583, "name": "Porz am Rhein" }, "end": { "lat": 45.48171, "lon": 9.17522, "name": "Chinatown" }, "waypoint": { "lat": -15.3175, "lon": -49.1175, "name": "Goianésia" }, "question": "Is Goianésia approximately on the direct path from Porz am Rhein to Chinatown?", "ground_truth": { "answer": false, "direct_distance_km": 621.1, "via_waypoint_km": 18091.2, "detour_km": 17470.2, "detour_percent": 2813.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Porz am Rhein", " End: Chinatown", " Waypoint: Goianésia", "Step 2: Calculate direct distance", " Start → End: 621.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18091.2 km", "Step 4: Calculate detour", " Detour = 18091.2 - 621.1 = 17470.2 km", " Detour % = (17470.2 / 621.1) × 100 = 2813.0%", "Step 5: Determine if on route (typically < 10% detour)", " 2813.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 55.81242, "lon": 38.99155, "name": "Orekhovo-Zuyevo" }, "end": { "lat": -8.46006, "lon": 118.72667, "name": "Bima" }, "waypoint": { "lat": -33.60627, "lon": -70.87649, "name": "Peñaflor" }, "question": "Is Peñaflor approximately on the direct path from Orekhovo-Zuyevo to Bima?", "ground_truth": { "answer": false, "direct_distance_km": 10151.9, "via_waypoint_km": 29471.7, "detour_km": 19319.8, "detour_percent": 190.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Orekhovo-Zuyevo", " End: Bima", " Waypoint: Peñaflor", "Step 2: Calculate direct distance", " Start → End: 10151.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 29471.7 km", "Step 4: Calculate detour", " Detour = 29471.7 - 10151.9 = 19319.8 km", " Detour % = (19319.8 / 10151.9) × 100 = 190.3%", "Step 5: Determine if on route (typically < 10% detour)", " 190.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 23.04388, "lon": -81.58284, "name": "Matanzas" }, "end": { "lat": 38.88095, "lon": -77.30082, "name": "Oakton" }, "waypoint": { "lat": -7.88944, "lon": -37.12, "name": "Monteiro" }, "question": "Is Monteiro approximately on the direct path from Matanzas to Oakton?", "ground_truth": { "answer": false, "direct_distance_km": 1807.1, "via_waypoint_km": 12583.1, "detour_km": 10776.0, "detour_percent": 596.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Matanzas", " End: Oakton", " Waypoint: Monteiro", "Step 2: Calculate direct distance", " Start → End: 1807.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12583.1 km", "Step 4: Calculate detour", " Detour = 12583.1 - 1807.1 = 10776.0 km", " Detour % = (10776.0 / 1807.1) × 100 = 596.3%", "Step 5: Determine if on route (typically < 10% detour)", " 596.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -14.06944, "lon": -42.475, "name": "Caetité" }, "end": { "lat": -6.9698, "lon": 111.4186, "name": "Blora" }, "waypoint": { "lat": 35.9987, "lon": -96.11417, "name": "Sapulpa" }, "question": "Is Sapulpa approximately on the direct path from Caetité to Blora?", "ground_truth": { "answer": false, "direct_distance_km": 16304.2, "via_waypoint_km": 23658.8, "detour_km": 7354.7, "detour_percent": 45.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Caetité", " End: Blora", " Waypoint: Sapulpa", "Step 2: Calculate direct distance", " Start → End: 16304.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23658.8 km", "Step 4: Calculate detour", " Detour = 23658.8 - 16304.2 = 7354.7 km", " Detour % = (7354.7 / 16304.2) × 100 = 45.1%", "Step 5: Determine if on route (typically < 10% detour)", " 45.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 50.10068, "lon": 11.45032, "name": "Kulmbach" }, "end": { "lat": -37.99116, "lon": 145.17385, "name": "Keysborough" }, "waypoint": { "lat": -39.4926, "lon": 176.91233, "name": "Napier" }, "question": "Is Napier approximately on the direct path from Kulmbach to Keysborough?", "ground_truth": { "answer": false, "direct_distance_km": 16150.9, "via_waypoint_km": 21118.8, "detour_km": 4967.9, "detour_percent": 30.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kulmbach", " End: Keysborough", " Waypoint: Napier", "Step 2: Calculate direct distance", " Start → End: 16150.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21118.8 km", "Step 4: Calculate detour", " Detour = 21118.8 - 16150.9 = 4967.9 km", " Detour % = (4967.9 / 16150.9) × 100 = 30.8%", "Step 5: Determine if on route (typically < 10% detour)", " 30.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 34.11849, "lon": -6.7389, "name": "Bouknadel" }, "end": { "lat": 51.79588, "lon": -0.07854, "name": "Hertford" }, "waypoint": { "lat": 20.1001, "lon": 79.11442, "name": "Bhadravati" }, "question": "Is Bhadravati approximately on the direct path from Bouknadel to Hertford?", "ground_truth": { "answer": false, "direct_distance_km": 2036.9, "via_waypoint_km": 15935.8, "detour_km": 13898.9, "detour_percent": 682.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Bouknadel", " End: Hertford", " Waypoint: Bhadravati", "Step 2: Calculate direct distance", " Start → End: 2036.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15935.8 km", "Step 4: Calculate detour", " Detour = 15935.8 - 2036.9 = 13898.9 km", " Detour % = (13898.9 / 2036.9) × 100 = 682.4%", "Step 5: Determine if on route (typically < 10% detour)", " 682.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 20.54772, "lon": -103.46714, "name": "San Agustín" }, "end": { "lat": -5.90181, "lon": -76.12234, "name": "Yurimaguas" }, "waypoint": { "lat": 14.03493, "lon": 35.38344, "name": "Al Qadarif" }, "question": "Is Al Qadarif approximately on the direct path from San Agustín to Yurimaguas?", "ground_truth": { "answer": false, "direct_distance_km": 4191.8, "via_waypoint_km": 26580.7, "detour_km": 22388.9, "detour_percent": 534.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: San Agustín", " End: Yurimaguas", " Waypoint: Al Qadarif", "Step 2: Calculate direct distance", " Start → End: 4191.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 26580.7 km", "Step 4: Calculate detour", " Detour = 26580.7 - 4191.8 = 22388.9 km", " Detour % = (22388.9 / 4191.8) × 100 = 534.1%", "Step 5: Determine if on route (typically < 10% detour)", " 534.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 0.58105, "lon": 30.21011, "name": "Buhesi" }, "end": { "lat": 53.48333, "lon": -2.65, "name": "Ashton in Makerfield" }, "waypoint": { "lat": 52.10714, "lon": 19.94525, "name": "Łowicz" }, "question": "Is Łowicz approximately on the direct path from Buhesi to Ashton in Makerfield?", "ground_truth": { "answer": false, "direct_distance_km": 6612.9, "via_waypoint_km": 7329.5, "detour_km": 716.6, "detour_percent": 10.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Buhesi", " End: Ashton in Makerfield", " Waypoint: Łowicz", "Step 2: Calculate direct distance", " Start → End: 6612.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 7329.5 km", "Step 4: Calculate detour", " Detour = 7329.5 - 6612.9 = 716.6 km", " Detour % = (716.6 / 6612.9) × 100 = 10.8%", "Step 5: Determine if on route (typically < 10% detour)", " 10.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 18.2989, "lon": 83.89751, "name": "Srikakulam" }, "end": { "lat": 28.71974, "lon": 77.26781, "name": "Mustafābād" }, "waypoint": { "lat": 31.79213, "lon": 34.64966, "name": "Ashdod" }, "question": "Is Ashdod approximately on the direct path from Srikakulam to Mustafābād?", "ground_truth": { "answer": false, "direct_distance_km": 1340.7, "via_waypoint_km": 9218.5, "detour_km": 7877.7, "detour_percent": 587.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Srikakulam", " End: Mustafābād", " Waypoint: Ashdod", "Step 2: Calculate direct distance", " Start → End: 1340.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 9218.5 km", "Step 4: Calculate detour", " Detour = 9218.5 - 1340.7 = 7877.7 km", " Detour % = (7877.7 / 1340.7) × 100 = 587.6%", "Step 5: Determine if on route (typically < 10% detour)", " 587.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -33.92598, "lon": 151.19347, "name": "Mascot" }, "end": { "lat": -6.75459, "lon": -35.66449, "name": "Solânea" }, "waypoint": { "lat": -32.94433, "lon": 28.01496, "name": "Gonubie" }, "question": "Is Gonubie approximately on the direct path from Mascot to Solânea?", "ground_truth": { "answer": false, "direct_distance_km": 15434.3, "via_waypoint_km": 17653.2, "detour_km": 2218.9, "detour_percent": 14.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Mascot", " End: Solânea", " Waypoint: Gonubie", "Step 2: Calculate direct distance", " Start → End: 15434.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17653.2 km", "Step 4: Calculate detour", " Detour = 17653.2 - 15434.3 = 2218.9 km", " Detour % = (2218.9 / 15434.3) × 100 = 14.4%", "Step 5: Determine if on route (typically < 10% detour)", " 14.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 46.58261, "lon": 0.34348, "name": "Poitiers" }, "end": { "lat": 43.95942, "lon": 43.63156, "name": "Novopavlovsk" }, "waypoint": { "lat": -26.07361, "lon": -53.72528, "name": "Santo Antônio do Sudoeste" }, "question": "Is Santo Antônio do Sudoeste approximately on the direct path from Poitiers to Novopavlovsk?", "ground_truth": { "answer": false, "direct_distance_km": 3357.3, "via_waypoint_km": 22278.8, "detour_km": 18921.5, "detour_percent": 563.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Poitiers", " End: Novopavlovsk", " Waypoint: Santo Antônio do Sudoeste", "Step 2: Calculate direct distance", " Start → End: 3357.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22278.8 km", "Step 4: Calculate detour", " Detour = 22278.8 - 3357.3 = 18921.5 km", " Detour % = (18921.5 / 3357.3) × 100 = 563.6%", "Step 5: Determine if on route (typically < 10% detour)", " 563.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 42.12922, "lon": -80.08506, "name": "Erie" }, "end": { "lat": 42.86509, "lon": -71.4934, "name": "Merrimack" }, "waypoint": { "lat": 37.23088, "lon": -3.6551, "name": "Albolote" }, "question": "Is Albolote approximately on the direct path from Erie to Merrimack?", "ground_truth": { "answer": false, "direct_distance_km": 708.8, "via_waypoint_km": 11991.1, "detour_km": 11282.3, "detour_percent": 1591.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Erie", " End: Merrimack", " Waypoint: Albolote", "Step 2: Calculate direct distance", " Start → End: 708.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 11991.1 km", "Step 4: Calculate detour", " Detour = 11991.1 - 708.8 = 11282.3 km", " Detour % = (11282.3 / 708.8) × 100 = 1591.7%", "Step 5: Determine if on route (typically < 10% detour)", " 1591.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 4.89972, "lon": -75.8825, "name": "La Virginia" }, "end": { "lat": -39.03333, "lon": -67.58333, "name": "General Roca" }, "waypoint": { "lat": 30.78847, "lon": 31.00192, "name": "Tanta" }, "question": "Is Tanta approximately on the direct path from La Virginia to General Roca?", "ground_truth": { "answer": false, "direct_distance_km": 4959.1, "via_waypoint_km": 24105.0, "detour_km": 19145.9, "detour_percent": 386.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: La Virginia", " End: General Roca", " Waypoint: Tanta", "Step 2: Calculate direct distance", " Start → End: 4959.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24105.0 km", "Step 4: Calculate detour", " Detour = 24105.0 - 4959.1 = 19145.9 km", " Detour % = (19145.9 / 4959.1) × 100 = 386.1%", "Step 5: Determine if on route (typically < 10% detour)", " 386.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 2.34464, "lon": 42.27644, "name": "Baardheere" }, "end": { "lat": 30.11107, "lon": -81.64176, "name": "Fruit Cove" }, "waypoint": { "lat": 55.58333, "lon": 37.6, "name": "Annino" }, "question": "Is Annino approximately on the direct path from Baardheere to Fruit Cove?", "ground_truth": { "answer": false, "direct_distance_km": 13065.6, "via_waypoint_km": 14821.6, "detour_km": 1755.9, "detour_percent": 13.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Baardheere", " End: Fruit Cove", " Waypoint: Annino", "Step 2: Calculate direct distance", " Start → End: 13065.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14821.6 km", "Step 4: Calculate detour", " Detour = 14821.6 - 13065.6 = 1755.9 km", " Detour % = (1755.9 / 13065.6) × 100 = 13.4%", "Step 5: Determine if on route (typically < 10% detour)", " 13.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 50.31542, "lon": 19.07824, "name": "Czeladź" }, "end": { "lat": -38.38176, "lon": 142.48799, "name": "Warrnambool" }, "waypoint": { "lat": 33.92557, "lon": -116.87641, "name": "Banning" }, "question": "Is Banning approximately on the direct path from Czeladź to Warrnambool?", "ground_truth": { "answer": false, "direct_distance_km": 15443.8, "via_waypoint_km": 22797.6, "detour_km": 7353.7, "detour_percent": 47.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Czeladź", " End: Warrnambool", " Waypoint: Banning", "Step 2: Calculate direct distance", " Start → End: 15443.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22797.6 km", "Step 4: Calculate detour", " Detour = 22797.6 - 15443.8 = 7353.7 km", " Detour % = (7353.7 / 15443.8) × 100 = 47.6%", "Step 5: Determine if on route (typically < 10% detour)", " 47.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 47.65983, "lon": 33.71952, "name": "Apostolove" }, "end": { "lat": 31.32336, "lon": 31.76122, "name": "Ar-Rawḍah" }, "waypoint": { "lat": 36.65079, "lon": 53.29905, "name": "Nekā" }, "question": "Is Nekā approximately on the direct path from Apostolove to Ar-Rawḍah?", "ground_truth": { "answer": false, "direct_distance_km": 1824.1, "via_waypoint_km": 4083.1, "detour_km": 2258.9, "detour_percent": 123.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Apostolove", " End: Ar-Rawḍah", " Waypoint: Nekā", "Step 2: Calculate direct distance", " Start → End: 1824.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 4083.1 km", "Step 4: Calculate detour", " Detour = 4083.1 - 1824.1 = 2258.9 km", " Detour % = (2258.9 / 1824.1) × 100 = 123.8%", "Step 5: Determine if on route (typically < 10% detour)", " 123.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 34.61667, "lon": 136.08333, "name": "Nabari" }, "end": { "lat": 35.39664, "lon": 0.14027, "name": "Mascara" }, "waypoint": { "lat": 26.73841, "lon": -11.67194, "name": "Smara" }, "question": "Is Smara approximately on the direct path from Nabari to Mascara?", "ground_truth": { "answer": false, "direct_distance_km": 10986.5, "via_waypoint_km": 13873.7, "detour_km": 2887.1, "detour_percent": 26.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Nabari", " End: Mascara", " Waypoint: Smara", "Step 2: Calculate direct distance", " Start → End: 10986.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13873.7 km", "Step 4: Calculate detour", " Detour = 13873.7 - 10986.5 = 2887.1 km", " Detour % = (2887.1 / 10986.5) × 100 = 26.3%", "Step 5: Determine if on route (typically < 10% detour)", " 26.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 44.49239, "lon": 26.04831, "name": "Sector 1" }, "end": { "lat": 46.80326, "lon": -71.17793, "name": "Lévis" }, "waypoint": { "lat": 0.78056, "lon": 31.32361, "name": "Kakumiro" }, "question": "Is Kakumiro approximately on the direct path from Sector 1 to Lévis?", "ground_truth": { "answer": false, "direct_distance_km": 7037.5, "via_waypoint_km": 15779.3, "detour_km": 8741.8, "detour_percent": 124.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Sector 1", " End: Lévis", " Waypoint: Kakumiro", "Step 2: Calculate direct distance", " Start → End: 7037.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15779.3 km", "Step 4: Calculate detour", " Detour = 15779.3 - 7037.5 = 8741.8 km", " Detour % = (8741.8 / 7037.5) × 100 = 124.2%", "Step 5: Determine if on route (typically < 10% detour)", " 124.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 36.89295, "lon": 27.28768, "name": "Kos" }, "end": { "lat": -14.52472, "lon": -49.14083, "name": "Uruaçu" }, "waypoint": { "lat": 40.61872, "lon": -74.0332, "name": "Fort Hamilton" }, "question": "Is Fort Hamilton approximately on the direct path from Kos to Uruaçu?", "ground_truth": { "answer": false, "direct_distance_km": 9809.3, "via_waypoint_km": 14902.5, "detour_km": 5093.2, "detour_percent": 51.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kos", " End: Uruaçu", " Waypoint: Fort Hamilton", "Step 2: Calculate direct distance", " Start → End: 9809.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14902.5 km", "Step 4: Calculate detour", " Detour = 14902.5 - 9809.3 = 5093.2 km", " Detour % = (5093.2 / 9809.3) × 100 = 51.9%", "Step 5: Determine if on route (typically < 10% detour)", " 51.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 48.17927, "lon": 40.7792, "name": "Belaya Kalitva" }, "end": { "lat": 54.37648, "lon": 18.60753, "name": "Wrzeszcz" }, "waypoint": { "lat": 39.56964, "lon": 3.20955, "name": "Manacor" }, "question": "Is Manacor approximately on the direct path from Belaya Kalitva to Wrzeszcz?", "ground_truth": { "answer": false, "direct_distance_km": 1679.9, "via_waypoint_km": 5133.8, "detour_km": 3453.9, "detour_percent": 205.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Belaya Kalitva", " End: Wrzeszcz", " Waypoint: Manacor", "Step 2: Calculate direct distance", " Start → End: 1679.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 5133.8 km", "Step 4: Calculate detour", " Detour = 5133.8 - 1679.9 = 3453.9 km", " Detour % = (3453.9 / 1679.9) × 100 = 205.6%", "Step 5: Determine if on route (typically < 10% detour)", " 205.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -10.66585, "lon": -76.25525, "name": "Yanacancha" }, "end": { "lat": 38.182, "lon": 27.335, "name": "Torbalı" }, "waypoint": { "lat": 39.75895, "lon": -84.19161, "name": "Dayton" }, "question": "Is Dayton approximately on the direct path from Yanacancha to Torbalı?", "ground_truth": { "answer": false, "direct_distance_km": 11921.5, "via_waypoint_km": 14562.3, "detour_km": 2640.8, "detour_percent": 22.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Yanacancha", " End: Torbalı", " Waypoint: Dayton", "Step 2: Calculate direct distance", " Start → End: 11921.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14562.3 km", "Step 4: Calculate detour", " Detour = 14562.3 - 11921.5 = 2640.8 km", " Detour % = (2640.8 / 11921.5) × 100 = 22.2%", "Step 5: Determine if on route (typically < 10% detour)", " 22.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 50.04937, "lon": 10.22175, "name": "Schweinfurt" }, "end": { "lat": 30.36264, "lon": 105.99213, "name": "Erlang" }, "waypoint": { "lat": -19.86439, "lon": 34.46735, "name": "Búzi" }, "question": "Is Búzi approximately on the direct path from Schweinfurt to Erlang?", "ground_truth": { "answer": false, "direct_distance_km": 7852.9, "via_waypoint_km": 17594.7, "detour_km": 9741.8, "detour_percent": 124.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Schweinfurt", " End: Erlang", " Waypoint: Búzi", "Step 2: Calculate direct distance", " Start → End: 7852.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17594.7 km", "Step 4: Calculate detour", " Detour = 17594.7 - 7852.9 = 9741.8 km", " Detour % = (9741.8 / 7852.9) × 100 = 124.1%", "Step 5: Determine if on route (typically < 10% detour)", " 124.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 48.87017, "lon": 2.4991, "name": "Rosny-sous-Bois" }, "end": { "lat": -34.65072, "lon": -59.43143, "name": "Mercedes" }, "waypoint": { "lat": -0.15816, "lon": 35.19645, "name": "Muhoroni" }, "question": "Is Muhoroni approximately on the direct path from Rosny-sous-Bois to Mercedes?", "ground_truth": { "answer": false, "direct_distance_km": 11119.5, "via_waypoint_km": 16706.9, "detour_km": 5587.4, "detour_percent": 50.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Rosny-sous-Bois", " End: Mercedes", " Waypoint: Muhoroni", "Step 2: Calculate direct distance", " Start → End: 11119.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16706.9 km", "Step 4: Calculate detour", " Detour = 16706.9 - 11119.5 = 5587.4 km", " Detour % = (5587.4 / 11119.5) × 100 = 50.2%", "Step 5: Determine if on route (typically < 10% detour)", " 50.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 43.11985, "lon": 5.80155, "name": "Sanary-sur-Mer" }, "end": { "lat": -11.36667, "lon": -38.33333, "name": "Olindina" }, "waypoint": { "lat": -11.19976, "lon": 28.89431, "name": "Mansa" }, "question": "Is Mansa approximately on the direct path from Sanary-sur-Mer to Olindina?", "ground_truth": { "answer": false, "direct_distance_km": 7531.9, "via_waypoint_km": 13791.9, "detour_km": 6260.0, "detour_percent": 83.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Sanary-sur-Mer", " End: Olindina", " Waypoint: Mansa", "Step 2: Calculate direct distance", " Start → End: 7531.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13791.9 km", "Step 4: Calculate detour", " Detour = 13791.9 - 7531.9 = 6260.0 km", " Detour % = (6260.0 / 7531.9) × 100 = 83.1%", "Step 5: Determine if on route (typically < 10% detour)", " 83.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 36.71182, "lon": 4.04591, "name": "Tizi Ouzou" }, "end": { "lat": 33.96173, "lon": -116.50353, "name": "Desert Hot Springs" }, "waypoint": { "lat": 59.01516, "lon": 54.65319, "name": "Kudymkar" }, "question": "Is Kudymkar approximately on the direct path from Tizi Ouzou to Desert Hot Springs?", "ground_truth": { "answer": false, "direct_distance_km": 10033.1, "via_waypoint_km": 14008.5, "detour_km": 3975.4, "detour_percent": 39.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Tizi Ouzou", " End: Desert Hot Springs", " Waypoint: Kudymkar", "Step 2: Calculate direct distance", " Start → End: 10033.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14008.5 km", "Step 4: Calculate detour", " Detour = 14008.5 - 10033.1 = 3975.4 km", " Detour % = (3975.4 / 10033.1) × 100 = 39.6%", "Step 5: Determine if on route (typically < 10% detour)", " 39.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 44.73188, "lon": 37.76176, "name": "Novorossiysk" }, "end": { "lat": 46.62472, "lon": 14.30528, "name": "Klagenfurt am Wörthersee" }, "waypoint": { "lat": 38.182, "lon": 27.335, "name": "Torbalı" }, "question": "Is Torbalı approximately on the direct path from Novorossiysk to Klagenfurt am Wörthersee?", "ground_truth": { "answer": false, "direct_distance_km": 1827.6, "via_waypoint_km": 2552.2, "detour_km": 724.6, "detour_percent": 39.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Novorossiysk", " End: Klagenfurt am Wörthersee", " Waypoint: Torbalı", "Step 2: Calculate direct distance", " Start → End: 1827.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 2552.2 km", "Step 4: Calculate detour", " Detour = 2552.2 - 1827.6 = 724.6 km", " Detour % = (724.6 / 1827.6) × 100 = 39.6%", "Step 5: Determine if on route (typically < 10% detour)", " 39.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 40.41317, "lon": -3.68307, "name": "Retiro" }, "end": { "lat": 50.71184, "lon": 5.6468, "name": "Oupeye" }, "waypoint": { "lat": -10.50333, "lon": -37.05278, "name": "Capela" }, "question": "Is Capela approximately on the direct path from Retiro to Oupeye?", "ground_truth": { "answer": false, "direct_distance_km": 1353.7, "via_waypoint_km": 14575.8, "detour_km": 13222.1, "detour_percent": 976.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Retiro", " End: Oupeye", " Waypoint: Capela", "Step 2: Calculate direct distance", " Start → End: 1353.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14575.8 km", "Step 4: Calculate detour", " Detour = 14575.8 - 1353.7 = 13222.1 km", " Detour % = (13222.1 / 1353.7) × 100 = 976.7%", "Step 5: Determine if on route (typically < 10% detour)", " 976.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -1.80388, "lon": 37.62405, "name": "Makueni Boma" }, "end": { "lat": 7.89209, "lon": -11.90541, "name": "Bumpe" }, "waypoint": { "lat": -19.88, "lon": -43.66972, "name": "Caeté" }, "question": "Is Caeté approximately on the direct path from Makueni Boma to Bumpe?", "ground_truth": { "answer": false, "direct_distance_km": 5597.2, "via_waypoint_km": 13678.8, "detour_km": 8081.6, "detour_percent": 144.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Makueni Boma", " End: Bumpe", " Waypoint: Caeté", "Step 2: Calculate direct distance", " Start → End: 5597.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13678.8 km", "Step 4: Calculate detour", " Detour = 13678.8 - 5597.2 = 8081.6 km", " Detour % = (8081.6 / 5597.2) × 100 = 144.4%", "Step 5: Determine if on route (typically < 10% detour)", " 144.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 11.69348, "lon": 75.56013, "name": "Azhiyūr" }, "end": { "lat": 31.20892, "lon": 16.58866, "name": "Sirte" }, "waypoint": { "lat": -28.44917, "lon": -52.2, "name": "Marau" }, "question": "Is Marau approximately on the direct path from Azhiyūr to Sirte?", "ground_truth": { "answer": false, "direct_distance_km": 6398.0, "via_waypoint_km": 24145.6, "detour_km": 17747.7, "detour_percent": 277.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Azhiyūr", " End: Sirte", " Waypoint: Marau", "Step 2: Calculate direct distance", " Start → End: 6398.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24145.6 km", "Step 4: Calculate detour", " Detour = 24145.6 - 6398.0 = 17747.7 km", " Detour % = (17747.7 / 6398.0) × 100 = 277.4%", "Step 5: Determine if on route (typically < 10% detour)", " 277.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -37.80639, "lon": 145.03086, "name": "Kew" }, "end": { "lat": 48.24275, "lon": 16.37551, "name": "Brigittenau" }, "waypoint": { "lat": 10.26061, "lon": -67.79348, "name": "San Joaquín" }, "question": "Is San Joaquín approximately on the direct path from Kew to Brigittenau?", "ground_truth": { "answer": false, "direct_distance_km": 15768.4, "via_waypoint_km": 24260.6, "detour_km": 8492.2, "detour_percent": 53.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kew", " End: Brigittenau", " Waypoint: San Joaquín", "Step 2: Calculate direct distance", " Start → End: 15768.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24260.6 km", "Step 4: Calculate detour", " Detour = 24260.6 - 15768.4 = 8492.2 km", " Detour % = (8492.2 / 15768.4) × 100 = 53.9%", "Step 5: Determine if on route (typically < 10% detour)", " 53.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -12.77944, "lon": -39.17, "name": "Conceição do Almeida" }, "end": { "lat": 20.00671, "lon": 75.19245, "name": "Khuldābād" }, "waypoint": { "lat": 33.99349, "lon": -81.07398, "name": "West Columbia" }, "question": "Is West Columbia approximately on the direct path from Conceição do Almeida to Khuldābād?", "ground_truth": { "answer": false, "direct_distance_km": 13007.7, "via_waypoint_km": 20337.2, "detour_km": 7329.6, "detour_percent": 56.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Conceição do Almeida", " End: Khuldābād", " Waypoint: West Columbia", "Step 2: Calculate direct distance", " Start → End: 13007.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20337.2 km", "Step 4: Calculate detour", " Detour = 20337.2 - 13007.7 = 7329.6 km", " Detour % = (7329.6 / 13007.7) × 100 = 56.3%", "Step 5: Determine if on route (typically < 10% detour)", " 56.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 37.85, "lon": 140.6, "name": "Yanagawamachi-saiwaichō" }, "end": { "lat": -31.76737, "lon": 115.96936, "name": "Ellenbrook" }, "waypoint": { "lat": 40.39283, "lon": -3.48194, "name": "Mejorada del Campo" }, "question": "Is Mejorada del Campo approximately on the direct path from Yanagawamachi-saiwaichō to Ellenbrook?", "ground_truth": { "answer": false, "direct_distance_km": 8151.6, "via_waypoint_km": 25174.0, "detour_km": 17022.4, "detour_percent": 208.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Yanagawamachi-saiwaichō", " End: Ellenbrook", " Waypoint: Mejorada del Campo", "Step 2: Calculate direct distance", " Start → End: 8151.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 25174.0 km", "Step 4: Calculate detour", " Detour = 25174.0 - 8151.6 = 17022.4 km", " Detour % = (17022.4 / 8151.6) × 100 = 208.8%", "Step 5: Determine if on route (typically < 10% detour)", " 208.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -37.8329, "lon": 145.0367, "name": "Hawthorn South" }, "end": { "lat": 47.48327, "lon": 6.85341, "name": "Audincourt" }, "waypoint": { "lat": 34.16533, "lon": -84.80231, "name": "Cartersville" }, "question": "Is Cartersville approximately on the direct path from Hawthorn South to Audincourt?", "ground_truth": { "answer": false, "direct_distance_km": 16479.1, "via_waypoint_km": 22967.3, "detour_km": 6488.2, "detour_percent": 39.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Hawthorn South", " End: Audincourt", " Waypoint: Cartersville", "Step 2: Calculate direct distance", " Start → End: 16479.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22967.3 km", "Step 4: Calculate detour", " Detour = 22967.3 - 16479.1 = 6488.2 km", " Detour % = (6488.2 / 16479.1) × 100 = 39.4%", "Step 5: Determine if on route (typically < 10% detour)", " 39.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 34.89469, "lon": 36.49582, "name": "Kafr Lāhā" }, "end": { "lat": 33.55391, "lon": -117.21392, "name": "Murrieta" }, "waypoint": { "lat": -14.79083, "lon": -71.40986, "name": "Yauri" }, "question": "Is Yauri approximately on the direct path from Kafr Lāhā to Murrieta?", "ground_truth": { "answer": false, "direct_distance_km": 11926.3, "via_waypoint_km": 19800.9, "detour_km": 7874.6, "detour_percent": 66.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kafr Lāhā", " End: Murrieta", " Waypoint: Yauri", "Step 2: Calculate direct distance", " Start → End: 11926.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19800.9 km", "Step 4: Calculate detour", " Detour = 19800.9 - 11926.3 = 7874.6 km", " Detour % = (7874.6 / 11926.3) × 100 = 66.0%", "Step 5: Determine if on route (typically < 10% detour)", " 66.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 16.28543, "lon": 95.67882, "name": "Pyapon" }, "end": { "lat": 35.74045, "lon": 139.63136, "name": "Nukui" }, "waypoint": { "lat": -25.47776, "lon": 31.14559, "name": "Tekwane" }, "question": "Is Tekwane approximately on the direct path from Pyapon to Nukui?", "ground_truth": { "answer": false, "direct_distance_km": 4843.3, "via_waypoint_km": 21608.1, "detour_km": 16764.7, "detour_percent": 346.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Pyapon", " End: Nukui", " Waypoint: Tekwane", "Step 2: Calculate direct distance", " Start → End: 4843.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21608.1 km", "Step 4: Calculate detour", " Detour = 21608.1 - 4843.3 = 16764.7 km", " Detour % = (16764.7 / 4843.3) × 100 = 346.1%", "Step 5: Determine if on route (typically < 10% detour)", " 346.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -22.59861, "lon": -48.80028, "name": "Lençóis Paulista" }, "end": { "lat": -6.75472, "lon": -51.08389, "name": "Ourilândia do Norte" }, "waypoint": { "lat": 36.11653, "lon": 6.35434, "name": "Telerghma" }, "question": "Is Telerghma approximately on the direct path from Lençóis Paulista to Ourilândia do Norte?", "ground_truth": { "answer": false, "direct_distance_km": 1778.7, "via_waypoint_km": 16371.9, "detour_km": 14593.2, "detour_percent": 820.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Lençóis Paulista", " End: Ourilândia do Norte", " Waypoint: Telerghma", "Step 2: Calculate direct distance", " Start → End: 1778.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16371.9 km", "Step 4: Calculate detour", " Detour = 16371.9 - 1778.7 = 14593.2 km", " Detour % = (14593.2 / 1778.7) × 100 = 820.5%", "Step 5: Determine if on route (typically < 10% detour)", " 820.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -18.37028, "lon": -40.21333, "name": "Pinheiros" }, "end": { "lat": 33.49838, "lon": -112.13432, "name": "Alhambra" }, "waypoint": { "lat": -38.09968, "lon": 145.17248, "name": "Carrum Downs" }, "question": "Is Carrum Downs approximately on the direct path from Pinheiros to Alhambra?", "ground_truth": { "answer": false, "direct_distance_km": 9550.6, "via_waypoint_km": 26942.4, "detour_km": 17391.8, "detour_percent": 182.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Pinheiros", " End: Alhambra", " Waypoint: Carrum Downs", "Step 2: Calculate direct distance", " Start → End: 9550.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 26942.4 km", "Step 4: Calculate detour", " Detour = 26942.4 - 9550.6 = 17391.8 km", " Detour % = (17391.8 / 9550.6) × 100 = 182.1%", "Step 5: Determine if on route (typically < 10% detour)", " 182.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 9.92866, "lon": -69.6201, "name": "Quíbor" }, "end": { "lat": 35.74541, "lon": -81.68482, "name": "Morganton" }, "waypoint": { "lat": 24.69007, "lon": 78.41915, "name": "Lalitpur" }, "question": "Is Lalitpur approximately on the direct path from Quíbor to Morganton?", "ground_truth": { "answer": false, "direct_distance_km": 3119.1, "via_waypoint_km": 27812.1, "detour_km": 24693.0, "detour_percent": 791.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Quíbor", " End: Morganton", " Waypoint: Lalitpur", "Step 2: Calculate direct distance", " Start → End: 3119.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 27812.1 km", "Step 4: Calculate detour", " Detour = 27812.1 - 3119.1 = 24693.0 km", " Detour % = (24693.0 / 3119.1) × 100 = 791.7%", "Step 5: Determine if on route (typically < 10% detour)", " 791.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 26.12647, "lon": 127.66918, "name": "Itoman" }, "end": { "lat": -9.64139, "lon": -36.22028, "name": "Boca da Mata" }, "waypoint": { "lat": 54.66079, "lon": -5.66802, "name": "Bangor" }, "question": "Is Bangor approximately on the direct path from Itoman to Boca da Mata?", "ground_truth": { "answer": true, "direct_distance_km": 17517.4, "via_waypoint_km": 17688.7, "detour_km": 171.3, "detour_percent": 1.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Itoman", " End: Boca da Mata", " Waypoint: Bangor", "Step 2: Calculate direct distance", " Start → End: 17517.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17688.7 km", "Step 4: Calculate detour", " Detour = 17688.7 - 17517.4 = 171.3 km", " Detour % = (171.3 / 17517.4) × 100 = 1.0%", "Step 5: Determine if on route (typically < 10% detour)", " 1.0% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 20.30734, "lon": -89.41809, "name": "Oxkutzkab" }, "end": { "lat": 41.8792, "lon": -87.84312, "name": "Maywood" }, "waypoint": { "lat": 14.81154, "lon": -91.45536, "name": "Cantel" }, "question": "Is Cantel approximately on the direct path from Oxkutzkab to Maywood?", "ground_truth": { "answer": false, "direct_distance_km": 2403.2, "via_waypoint_km": 3677.9, "detour_km": 1274.6, "detour_percent": 53.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Oxkutzkab", " End: Maywood", " Waypoint: Cantel", "Step 2: Calculate direct distance", " Start → End: 2403.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 3677.9 km", "Step 4: Calculate detour", " Detour = 3677.9 - 2403.2 = 1274.6 km", " Detour % = (1274.6 / 2403.2) × 100 = 53.0%", "Step 5: Determine if on route (typically < 10% detour)", " 53.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -36.93754, "lon": 174.65584, "name": "Titirangi" }, "end": { "lat": 28.63275, "lon": 108.50024, "name": "Wanmu" }, "waypoint": { "lat": 42.52165, "lon": -7.51422, "name": "Monforte de Lemos" }, "question": "Is Monforte de Lemos approximately on the direct path from Titirangi to Wanmu?", "ground_truth": { "answer": false, "direct_distance_km": 10035.4, "via_waypoint_km": 29118.8, "detour_km": 19083.4, "detour_percent": 190.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Titirangi", " End: Wanmu", " Waypoint: Monforte de Lemos", "Step 2: Calculate direct distance", " Start → End: 10035.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 29118.8 km", "Step 4: Calculate detour", " Detour = 29118.8 - 10035.4 = 19083.4 km", " Detour % = (19083.4 / 10035.4) × 100 = 190.2%", "Step 5: Determine if on route (typically < 10% detour)", " 190.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 4.75, "lon": 11.23333, "name": "Bafia" }, "end": { "lat": -2.18611, "lon": -56.71306, "name": "Nhamundá" }, "waypoint": { "lat": 10.63517, "lon": -85.43779, "name": "Liberia" }, "question": "Is Liberia approximately on the direct path from Bafia to Nhamundá?", "ground_truth": { "answer": false, "direct_distance_km": 7587.7, "via_waypoint_km": 14119.6, "detour_km": 6531.9, "detour_percent": 86.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Bafia", " End: Nhamundá", " Waypoint: Liberia", "Step 2: Calculate direct distance", " Start → End: 7587.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14119.6 km", "Step 4: Calculate detour", " Detour = 14119.6 - 7587.7 = 6531.9 km", " Detour % = (6531.9 / 7587.7) × 100 = 86.1%", "Step 5: Determine if on route (typically < 10% detour)", " 86.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 47.67887, "lon": -122.02833, "name": "Union Hill-Novelty Hill" }, "end": { "lat": 18.65409, "lon": -99.18981, "name": "Zacatepec" }, "waypoint": { "lat": -26.30176, "lon": 29.98696, "name": "Breyten" }, "question": "Is Breyten approximately on the direct path from Union Hill-Novelty Hill to Zacatepec?", "ground_truth": { "answer": false, "direct_distance_km": 3833.2, "via_waypoint_km": 31367.8, "detour_km": 27534.6, "detour_percent": 718.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Union Hill-Novelty Hill", " End: Zacatepec", " Waypoint: Breyten", "Step 2: Calculate direct distance", " Start → End: 3833.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 31367.8 km", "Step 4: Calculate detour", " Detour = 31367.8 - 3833.2 = 27534.6 km", " Detour % = (27534.6 / 3833.2) × 100 = 718.3%", "Step 5: Determine if on route (typically < 10% detour)", " 718.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 41.45171, "lon": -82.03542, "name": "Avon" }, "end": { "lat": 47.44846, "lon": -122.29217, "name": "SeaTac" }, "waypoint": { "lat": 4.92678, "lon": -1.75773, "name": "Sekondi-Takoradi" }, "question": "Is Sekondi-Takoradi approximately on the direct path from Avon to SeaTac?", "ground_truth": { "answer": false, "direct_distance_km": 3226.5, "via_waypoint_km": 20644.5, "detour_km": 17418.0, "detour_percent": 539.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Avon", " End: SeaTac", " Waypoint: Sekondi-Takoradi", "Step 2: Calculate direct distance", " Start → End: 3226.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20644.5 km", "Step 4: Calculate detour", " Detour = 20644.5 - 3226.5 = 17418.0 km", " Detour % = (17418.0 / 3226.5) × 100 = 539.8%", "Step 5: Determine if on route (typically < 10% detour)", " 539.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 57.93033, "lon": 12.53345, "name": "Alingsås" }, "end": { "lat": 43.30621, "lon": 10.51729, "name": "Cecina" }, "waypoint": { "lat": 10.63111, "lon": 122.97889, "name": "Mansilingan" }, "question": "Is Mansilingan approximately on the direct path from Alingsås to Cecina?", "ground_truth": { "answer": false, "direct_distance_km": 1632.2, "via_waypoint_km": 21118.6, "detour_km": 19486.4, "detour_percent": 1193.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Alingsås", " End: Cecina", " Waypoint: Mansilingan", "Step 2: Calculate direct distance", " Start → End: 1632.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21118.6 km", "Step 4: Calculate detour", " Detour = 21118.6 - 1632.2 = 19486.4 km", " Detour % = (19486.4 / 1632.2) × 100 = 1193.9%", "Step 5: Determine if on route (typically < 10% detour)", " 1193.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 40.20503, "lon": -8.47929, "name": "Ribeira de Frades" }, "end": { "lat": -8.00167, "lon": -35.29278, "name": "Glória do Goitá" }, "waypoint": { "lat": 6.01161, "lon": -4.82133, "name": "Nzianouan" }, "question": "Is Nzianouan approximately on the direct path from Ribeira de Frades to Glória do Goitá?", "ground_truth": { "answer": false, "direct_distance_km": 6025.4, "via_waypoint_km": 7540.8, "detour_km": 1515.4, "detour_percent": 25.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ribeira de Frades", " End: Glória do Goitá", " Waypoint: Nzianouan", "Step 2: Calculate direct distance", " Start → End: 6025.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 7540.8 km", "Step 4: Calculate detour", " Detour = 7540.8 - 6025.4 = 1515.4 km", " Detour % = (1515.4 / 6025.4) × 100 = 25.2%", "Step 5: Determine if on route (typically < 10% detour)", " 25.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 37.30514, "lon": 44.5742, "name": "Şemdinli" }, "end": { "lat": 24.10313, "lon": 77.69055, "name": "Sironj" }, "waypoint": { "lat": 30.36742, "lon": 30.50871, "name": "Madīnat as Sādāt" }, "question": "Is Madīnat as Sādāt approximately on the direct path from Şemdinli to Sironj?", "ground_truth": { "answer": false, "direct_distance_km": 3466.0, "via_waypoint_km": 6191.9, "detour_km": 2725.9, "detour_percent": 78.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Şemdinli", " End: Sironj", " Waypoint: Madīnat as Sādāt", "Step 2: Calculate direct distance", " Start → End: 3466.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 6191.9 km", "Step 4: Calculate detour", " Detour = 6191.9 - 3466.0 = 2725.9 km", " Detour % = (2725.9 / 3466.0) × 100 = 78.6%", "Step 5: Determine if on route (typically < 10% detour)", " 78.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 22.00922, "lon": 82.5778, "name": "Jānjgīr" }, "end": { "lat": 36.9918, "lon": 120.20412, "name": "Jiudian" }, "waypoint": { "lat": 54.18485, "lon": 45.17166, "name": "Saransk" }, "question": "Is Saransk approximately on the direct path from Jānjgīr to Jiudian?", "ground_truth": { "answer": false, "direct_distance_km": 3970.7, "via_waypoint_km": 10587.4, "detour_km": 6616.6, "detour_percent": 166.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Jānjgīr", " End: Jiudian", " Waypoint: Saransk", "Step 2: Calculate direct distance", " Start → End: 3970.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 10587.4 km", "Step 4: Calculate detour", " Detour = 10587.4 - 3970.7 = 6616.6 km", " Detour % = (6616.6 / 3970.7) × 100 = 166.6%", "Step 5: Determine if on route (typically < 10% detour)", " 166.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 11.22191, "lon": -4.64423, "name": "Karankasso" }, "end": { "lat": 19.7884, "lon": -98.55266, "name": "Tepeapulco" }, "waypoint": { "lat": 7.8894, "lon": 98.38523, "name": "Wichit" }, "question": "Is Wichit approximately on the direct path from Karankasso to Tepeapulco?", "ground_truth": { "answer": false, "direct_distance_km": 9988.6, "via_waypoint_km": 27662.7, "detour_km": 17674.1, "detour_percent": 176.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Karankasso", " End: Tepeapulco", " Waypoint: Wichit", "Step 2: Calculate direct distance", " Start → End: 9988.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 27662.7 km", "Step 4: Calculate detour", " Detour = 27662.7 - 9988.6 = 17674.1 km", " Detour % = (17674.1 / 9988.6) × 100 = 176.9%", "Step 5: Determine if on route (typically < 10% detour)", " 176.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -23.52719, "lon": -46.61751, "name": "Pari" }, "end": { "lat": -1.89528, "lon": -49.38056, "name": "Limoeiro do Ajuru" }, "waypoint": { "lat": -39.09631, "lon": -67.08374, "name": "Villa Regina" }, "question": "Is Villa Regina approximately on the direct path from Pari to Limoeiro do Ajuru?", "ground_truth": { "answer": false, "direct_distance_km": 2423.7, "via_waypoint_km": 7101.2, "detour_km": 4677.5, "detour_percent": 193.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Pari", " End: Limoeiro do Ajuru", " Waypoint: Villa Regina", "Step 2: Calculate direct distance", " Start → End: 2423.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 7101.2 km", "Step 4: Calculate detour", " Detour = 7101.2 - 2423.7 = 4677.5 km", " Detour % = (4677.5 / 2423.7) × 100 = 193.0%", "Step 5: Determine if on route (typically < 10% detour)", " 193.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -10.95444, "lon": -40.57583, "name": "Mirangaba" }, "end": { "lat": -12.60139, "lon": -38.96576, "name": "Cachoeira" }, "waypoint": { "lat": 35.08676, "lon": -89.81009, "name": "Germantown" }, "question": "Is Germantown approximately on the direct path from Mirangaba to Cachoeira?", "ground_truth": { "answer": false, "direct_distance_km": 253.5, "via_waypoint_km": 14810.9, "detour_km": 14557.4, "detour_percent": 5743.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Mirangaba", " End: Cachoeira", " Waypoint: Germantown", "Step 2: Calculate direct distance", " Start → End: 253.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14810.9 km", "Step 4: Calculate detour", " Detour = 14810.9 - 253.5 = 14557.4 km", " Detour % = (14557.4 / 253.5) × 100 = 5743.0%", "Step 5: Determine if on route (typically < 10% detour)", " 5743.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 36.30477, "lon": -86.62, "name": "Hendersonville" }, "end": { "lat": -26.53333, "lon": 27.85, "name": "Evaton" }, "waypoint": { "lat": 50.88637, "lon": 7.0583, "name": "Porz am Rhein" }, "question": "Is Porz am Rhein approximately on the direct path from Hendersonville to Evaton?", "ground_truth": { "answer": false, "direct_distance_km": 13818.6, "via_waypoint_km": 16046.1, "detour_km": 2227.5, "detour_percent": 16.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Hendersonville", " End: Evaton", " Waypoint: Porz am Rhein", "Step 2: Calculate direct distance", " Start → End: 13818.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16046.1 km", "Step 4: Calculate detour", " Detour = 16046.1 - 13818.6 = 2227.5 km", " Detour % = (2227.5 / 13818.6) × 100 = 16.1%", "Step 5: Determine if on route (typically < 10% detour)", " 16.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -27.49325, "lon": 153.05826, "name": "Coorparoo" }, "end": { "lat": 23.13028, "lon": -82.35306, "name": "La Habana Vieja" }, "waypoint": { "lat": 51.03427, "lon": 5.37429, "name": "Houthalen" }, "question": "Is Houthalen approximately on the direct path from Coorparoo to La Habana Vieja?", "ground_truth": { "answer": false, "direct_distance_km": 14469.1, "via_waypoint_km": 24125.7, "detour_km": 9656.7, "detour_percent": 66.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Coorparoo", " End: La Habana Vieja", " Waypoint: Houthalen", "Step 2: Calculate direct distance", " Start → End: 14469.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24125.7 km", "Step 4: Calculate detour", " Detour = 24125.7 - 14469.1 = 9656.7 km", " Detour % = (9656.7 / 14469.1) × 100 = 66.7%", "Step 5: Determine if on route (typically < 10% detour)", " 66.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 2.93527, "lon": 101.69112, "name": "Putrajaya" }, "end": { "lat": -3.28333, "lon": 32.85, "name": "Mhango" }, "waypoint": { "lat": 50.91775, "lon": 6.12336, "name": "Übach-Palenberg" }, "question": "Is Übach-Palenberg approximately on the direct path from Putrajaya to Mhango?", "ground_truth": { "answer": false, "direct_distance_km": 7682.1, "via_waypoint_km": 16684.2, "detour_km": 9002.1, "detour_percent": 117.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Putrajaya", " End: Mhango", " Waypoint: Übach-Palenberg", "Step 2: Calculate direct distance", " Start → End: 7682.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16684.2 km", "Step 4: Calculate detour", " Detour = 16684.2 - 7682.1 = 9002.1 km", " Detour % = (9002.1 / 7682.1) × 100 = 117.2%", "Step 5: Determine if on route (typically < 10% detour)", " 117.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 51.66361, "lon": 16.0845, "name": "Głogów" }, "end": { "lat": 43.36679, "lon": -80.94972, "name": "Stratford" }, "waypoint": { "lat": -38.13333, "lon": 145.13333, "name": "Frankston East" }, "question": "Is Frankston East approximately on the direct path from Głogów to Stratford?", "ground_truth": { "answer": false, "direct_distance_km": 6793.2, "via_waypoint_km": 31967.9, "detour_km": 25174.7, "detour_percent": 370.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Głogów", " End: Stratford", " Waypoint: Frankston East", "Step 2: Calculate direct distance", " Start → End: 6793.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 31967.9 km", "Step 4: Calculate detour", " Detour = 31967.9 - 6793.2 = 25174.7 km", " Detour % = (25174.7 / 6793.2) × 100 = 370.6%", "Step 5: Determine if on route (typically < 10% detour)", " 370.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -6.85861, "lon": 107.91639, "name": "Sumedang" }, "end": { "lat": 52.16772, "lon": 22.29006, "name": "Siedlce" }, "waypoint": { "lat": 11.92092, "lon": -2.51536, "name": "Tita" }, "question": "Is Tita approximately on the direct path from Sumedang to Siedlce?", "ground_truth": { "answer": false, "direct_distance_km": 10312.7, "via_waypoint_km": 17376.3, "detour_km": 7063.6, "detour_percent": 68.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Sumedang", " End: Siedlce", " Waypoint: Tita", "Step 2: Calculate direct distance", " Start → End: 10312.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17376.3 km", "Step 4: Calculate detour", " Detour = 17376.3 - 10312.7 = 7063.6 km", " Detour % = (7063.6 / 10312.7) × 100 = 68.5%", "Step 5: Determine if on route (typically < 10% detour)", " 68.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -17.5347, "lon": -149.56843, "name": "Papeete" }, "end": { "lat": -41.8707, "lon": -73.81622, "name": "Ancud" }, "waypoint": { "lat": 40.70094, "lon": -73.71291, "name": "Elmont" }, "question": "Is Elmont approximately on the direct path from Papeete to Ancud?", "ground_truth": { "answer": false, "direct_distance_km": 7552.7, "via_waypoint_km": 19315.4, "detour_km": 11762.6, "detour_percent": 155.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Papeete", " End: Ancud", " Waypoint: Elmont", "Step 2: Calculate direct distance", " Start → End: 7552.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19315.4 km", "Step 4: Calculate detour", " Detour = 19315.4 - 7552.7 = 11762.6 km", " Detour % = (11762.6 / 7552.7) × 100 = 155.7%", "Step 5: Determine if on route (typically < 10% detour)", " 155.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 11.08328, "lon": 75.84904, "name": "Ariyallur" }, "end": { "lat": -2.58333, "lon": 33.35, "name": "Kihangara" }, "waypoint": { "lat": -27.09028, "lon": -48.61139, "name": "Itapema" }, "question": "Is Itapema approximately on the direct path from Ariyallur to Kihangara?", "ground_truth": { "answer": false, "direct_distance_km": 4940.1, "via_waypoint_km": 23045.5, "detour_km": 18105.4, "detour_percent": 366.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ariyallur", " End: Kihangara", " Waypoint: Itapema", "Step 2: Calculate direct distance", " Start → End: 4940.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23045.5 km", "Step 4: Calculate detour", " Detour = 23045.5 - 4940.1 = 18105.4 km", " Detour % = (18105.4 / 4940.1) × 100 = 366.5%", "Step 5: Determine if on route (typically < 10% detour)", " 366.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -14.10165, "lon": 21.43531, "name": "Lumbala" }, "end": { "lat": 34.48562, "lon": 135.69698, "name": "Katsuragi" }, "waypoint": { "lat": 15.32546, "lon": 120.65723, "name": "Concepcion" }, "question": "Is Concepcion approximately on the direct path from Lumbala to Katsuragi?", "ground_truth": { "answer": true, "direct_distance_km": 13099.1, "via_waypoint_km": 13991.6, "detour_km": 892.4, "detour_percent": 6.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Lumbala", " End: Katsuragi", " Waypoint: Concepcion", "Step 2: Calculate direct distance", " Start → End: 13099.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13991.6 km", "Step 4: Calculate detour", " Detour = 13991.6 - 13099.1 = 892.4 km", " Detour % = (892.4 / 13099.1) × 100 = 6.8%", "Step 5: Determine if on route (typically < 10% detour)", " 6.8% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -13.05927, "lon": -76.35269, "name": "Imperial" }, "end": { "lat": 9.7639, "lon": 14.1539, "name": "Mboursou Léré" }, "waypoint": { "lat": 43.27083, "lon": 5.3821, "name": "Marseille 08" }, "question": "Is Marseille 08 approximately on the direct path from Imperial to Mboursou Léré?", "ground_truth": { "answer": false, "direct_distance_km": 10305.9, "via_waypoint_km": 14166.4, "detour_km": 3860.6, "detour_percent": 37.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Imperial", " End: Mboursou Léré", " Waypoint: Marseille 08", "Step 2: Calculate direct distance", " Start → End: 10305.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14166.4 km", "Step 4: Calculate detour", " Detour = 14166.4 - 10305.9 = 3860.6 km", " Detour % = (3860.6 / 10305.9) × 100 = 37.5%", "Step 5: Determine if on route (typically < 10% detour)", " 37.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -3.68017, "lon": -79.68169, "name": "Piñas" }, "end": { "lat": -9.43215, "lon": 160.00607, "name": "Panatina" }, "waypoint": { "lat": 17.98372, "lon": 100.05217, "name": "Den Chai" }, "question": "Is Den Chai approximately on the direct path from Piñas to Panatina?", "ground_truth": { "answer": false, "direct_distance_km": 13243.4, "via_waypoint_km": 25676.0, "detour_km": 12432.7, "detour_percent": 93.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Piñas", " End: Panatina", " Waypoint: Den Chai", "Step 2: Calculate direct distance", " Start → End: 13243.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 25676.0 km", "Step 4: Calculate detour", " Detour = 25676.0 - 13243.4 = 12432.7 km", " Detour % = (12432.7 / 13243.4) × 100 = 93.9%", "Step 5: Determine if on route (typically < 10% detour)", " 93.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 8.27515, "lon": -76.37641, "name": "San Pedro de Urabá" }, "end": { "lat": 23.74516, "lon": 86.17175, "name": "Dugda" }, "waypoint": { "lat": 40.28908, "lon": -4.01197, "name": "Navalcarnero" }, "question": "Is Navalcarnero approximately on the direct path from San Pedro de Urabá to Dugda?", "ground_truth": { "answer": true, "direct_distance_km": 15981.3, "via_waypoint_km": 16264.5, "detour_km": 283.3, "detour_percent": 1.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: San Pedro de Urabá", " End: Dugda", " Waypoint: Navalcarnero", "Step 2: Calculate direct distance", " Start → End: 15981.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16264.5 km", "Step 4: Calculate detour", " Detour = 16264.5 - 15981.3 = 283.3 km", " Detour % = (283.3 / 15981.3) × 100 = 1.8%", "Step 5: Determine if on route (typically < 10% detour)", " 1.8% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 12.62951, "lon": -87.13133, "name": "Chinandega" }, "end": { "lat": 19.21933, "lon": 77.66962, "name": "Bhokar" }, "waypoint": { "lat": -17.78833, "lon": 15.70436, "name": "Oshakati" }, "question": "Is Oshakati approximately on the direct path from Chinandega to Bhokar?", "ground_truth": { "answer": false, "direct_distance_km": 16101.8, "via_waypoint_km": 19689.3, "detour_km": 3587.5, "detour_percent": 22.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Chinandega", " End: Bhokar", " Waypoint: Oshakati", "Step 2: Calculate direct distance", " Start → End: 16101.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19689.3 km", "Step 4: Calculate detour", " Detour = 19689.3 - 16101.8 = 3587.5 km", " Detour % = (3587.5 / 16101.8) × 100 = 22.3%", "Step 5: Determine if on route (typically < 10% detour)", " 22.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -29.44806, "lon": -50.58361, "name": "São Francisco de Paula" }, "end": { "lat": 41.43073, "lon": 2.21855, "name": "Sant Adrià de Besòs" }, "waypoint": { "lat": 33.73333, "lon": 135.98333, "name": "Shingū" }, "question": "Is Shingū approximately on the direct path from São Francisco de Paula to Sant Adrià de Besòs?", "ground_truth": { "answer": false, "direct_distance_km": 9565.1, "via_waypoint_km": 29646.3, "detour_km": 20081.2, "detour_percent": 209.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: São Francisco de Paula", " End: Sant Adrià de Besòs", " Waypoint: Shingū", "Step 2: Calculate direct distance", " Start → End: 9565.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 29646.3 km", "Step 4: Calculate detour", " Detour = 29646.3 - 9565.1 = 20081.2 km", " Detour % = (20081.2 / 9565.1) × 100 = 209.9%", "Step 5: Determine if on route (typically < 10% detour)", " 209.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -16.65, "lon": -68.3, "name": "Viacha" }, "end": { "lat": -21.83222, "lon": -46.89361, "name": "Vargem Grande do Sul" }, "waypoint": { "lat": 34.6178, "lon": 71.97247, "name": "Bat Khela" }, "question": "Is Bat Khela approximately on the direct path from Viacha to Vargem Grande do Sul?", "ground_truth": { "answer": false, "direct_distance_km": 2317.6, "via_waypoint_km": 29548.4, "detour_km": 27230.8, "detour_percent": 1174.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Viacha", " End: Vargem Grande do Sul", " Waypoint: Bat Khela", "Step 2: Calculate direct distance", " Start → End: 2317.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 29548.4 km", "Step 4: Calculate detour", " Detour = 29548.4 - 2317.6 = 27230.8 km", " Detour % = (27230.8 / 2317.6) × 100 = 1174.9%", "Step 5: Determine if on route (typically < 10% detour)", " 1174.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 52.54525, "lon": 13.56983, "name": "Marzahn" }, "end": { "lat": -21.18972, "lon": -46.98028, "name": "Monte Santo de Minas" }, "waypoint": { "lat": 13.78338, "lon": 77.79667, "name": "Bāgepalli" }, "question": "Is Bāgepalli approximately on the direct path from Marzahn to Monte Santo de Minas?", "ground_truth": { "answer": false, "direct_distance_km": 10059.5, "via_waypoint_km": 21190.9, "detour_km": 11131.4, "detour_percent": 110.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Marzahn", " End: Monte Santo de Minas", " Waypoint: Bāgepalli", "Step 2: Calculate direct distance", " Start → End: 10059.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21190.9 km", "Step 4: Calculate detour", " Detour = 21190.9 - 10059.5 = 11131.4 km", " Detour % = (11131.4 / 10059.5) × 100 = 110.7%", "Step 5: Determine if on route (typically < 10% detour)", " 110.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -2.02269, "lon": 29.70691, "name": "Muhanga" }, "end": { "lat": 44.02603, "lon": 20.46152, "name": "Gornji Milanovac" }, "waypoint": { "lat": 18.90815, "lon": -98.43613, "name": "Atlixco" }, "question": "Is Atlixco approximately on the direct path from Muhanga to Gornji Milanovac?", "ground_truth": { "answer": false, "direct_distance_km": 5202.5, "via_waypoint_km": 24738.7, "detour_km": 19536.2, "detour_percent": 375.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Muhanga", " End: Gornji Milanovac", " Waypoint: Atlixco", "Step 2: Calculate direct distance", " Start → End: 5202.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24738.7 km", "Step 4: Calculate detour", " Detour = 24738.7 - 5202.5 = 19536.2 km", " Detour % = (19536.2 / 5202.5) × 100 = 375.5%", "Step 5: Determine if on route (typically < 10% detour)", " 375.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 43.78609, "lon": -79.33502, "name": "Pleasant View" }, "end": { "lat": 61.45347, "lon": 23.84744, "name": "Pohjois-Hervanta" }, "waypoint": { "lat": 25.61955, "lon": 56.27291, "name": "Dibba Al-Hisn" }, "question": "Is Dibba Al-Hisn approximately on the direct path from Pleasant View to Pohjois-Hervanta?", "ground_truth": { "answer": false, "direct_distance_km": 6454.9, "via_waypoint_km": 15736.2, "detour_km": 9281.2, "detour_percent": 143.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Pleasant View", " End: Pohjois-Hervanta", " Waypoint: Dibba Al-Hisn", "Step 2: Calculate direct distance", " Start → End: 6454.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15736.2 km", "Step 4: Calculate detour", " Detour = 15736.2 - 6454.9 = 9281.2 km", " Detour % = (9281.2 / 6454.9) × 100 = 143.8%", "Step 5: Determine if on route (typically < 10% detour)", " 143.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 41.9908, "lon": 12.09082, "name": "Cerveteri" }, "end": { "lat": 47.63333, "lon": 26.25, "name": "Suceava" }, "waypoint": { "lat": 35.18568, "lon": 1.49612, "name": "Sougueur" }, "question": "Is Sougueur approximately on the direct path from Cerveteri to Suceava?", "ground_truth": { "answer": false, "direct_distance_km": 1278.3, "via_waypoint_km": 3658.5, "detour_km": 2380.2, "detour_percent": 186.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Cerveteri", " End: Suceava", " Waypoint: Sougueur", "Step 2: Calculate direct distance", " Start → End: 1278.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 3658.5 km", "Step 4: Calculate detour", " Detour = 3658.5 - 1278.3 = 2380.2 km", " Detour % = (2380.2 / 1278.3) × 100 = 186.2%", "Step 5: Determine if on route (typically < 10% detour)", " 186.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 39.56667, "lon": -0.53333, "name": "L'Eliana" }, "end": { "lat": -6.22977, "lon": 155.56598, "name": "Arawa" }, "waypoint": { "lat": -6.99306, "lon": 110.42083, "name": "Semarang" }, "question": "Is Semarang approximately on the direct path from L'Eliana to Arawa?", "ground_truth": { "answer": false, "direct_distance_km": 15604.0, "via_waypoint_km": 17279.1, "detour_km": 1675.0, "detour_percent": 10.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: L'Eliana", " End: Arawa", " Waypoint: Semarang", "Step 2: Calculate direct distance", " Start → End: 15604.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17279.1 km", "Step 4: Calculate detour", " Detour = 17279.1 - 15604.0 = 1675.0 km", " Detour % = (1675.0 / 15604.0) × 100 = 10.7%", "Step 5: Determine if on route (typically < 10% detour)", " 10.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -23.99306, "lon": -46.25639, "name": "Guarujá" }, "end": { "lat": 43.77639, "lon": -79.38028, "name": "Bayview Village" }, "waypoint": { "lat": 49.45595, "lon": 36.84433, "name": "Balakliia" }, "question": "Is Balakliia approximately on the direct path from Guarujá to Bayview Village?", "ground_truth": { "answer": false, "direct_distance_km": 8258.3, "via_waypoint_km": 19479.8, "detour_km": 11221.6, "detour_percent": 135.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Guarujá", " End: Bayview Village", " Waypoint: Balakliia", "Step 2: Calculate direct distance", " Start → End: 8258.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19479.8 km", "Step 4: Calculate detour", " Detour = 19479.8 - 8258.3 = 11221.6 km", " Detour % = (11221.6 / 8258.3) × 100 = 135.9%", "Step 5: Determine if on route (typically < 10% detour)", " 135.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 14.64056, "lon": 104.64992, "name": "Kantharalak" }, "end": { "lat": 10.16153, "lon": -68.00044, "name": "Valencia" }, "waypoint": { "lat": 4.74851, "lon": -6.6363, "name": "San-Pédro" }, "question": "Is San-Pédro approximately on the direct path from Kantharalak to Valencia?", "ground_truth": { "answer": false, "direct_distance_km": 17140.7, "via_waypoint_km": 18927.8, "detour_km": 1787.1, "detour_percent": 10.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kantharalak", " End: Valencia", " Waypoint: San-Pédro", "Step 2: Calculate direct distance", " Start → End: 17140.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18927.8 km", "Step 4: Calculate detour", " Detour = 18927.8 - 17140.7 = 1787.1 km", " Detour % = (1787.1 / 17140.7) × 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": 49.49583, "lon": 5.98056, "name": "Esch-sur-Alzette" }, "end": { "lat": -19.67016, "lon": 30.00589, "name": "Shurugwi" }, "waypoint": { "lat": -11.62778, "lon": -46.82056, "name": "Dianópolis" }, "question": "Is Dianópolis approximately on the direct path from Esch-sur-Alzette to Shurugwi?", "ground_truth": { "answer": false, "direct_distance_km": 8048.5, "via_waypoint_km": 16732.5, "detour_km": 8684.0, "detour_percent": 107.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Esch-sur-Alzette", " End: Shurugwi", " Waypoint: Dianópolis", "Step 2: Calculate direct distance", " Start → End: 8048.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16732.5 km", "Step 4: Calculate detour", " Detour = 16732.5 - 8048.5 = 8684.0 km", " Detour % = (8684.0 / 8048.5) × 100 = 107.9%", "Step 5: Determine if on route (typically < 10% detour)", " 107.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 37.5732, "lon": 32.77446, "name": "Çumra" }, "end": { "lat": 49.71003, "lon": 37.61581, "name": "Kupiansk" }, "waypoint": { "lat": 10.30416, "lon": 1.37962, "name": "Natitingou" }, "question": "Is Natitingou approximately on the direct path from Çumra to Kupiansk?", "ground_truth": { "answer": false, "direct_distance_km": 1403.9, "via_waypoint_km": 9864.0, "detour_km": 8460.2, "detour_percent": 602.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Çumra", " End: Kupiansk", " Waypoint: Natitingou", "Step 2: Calculate direct distance", " Start → End: 1403.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 9864.0 km", "Step 4: Calculate detour", " Detour = 9864.0 - 1403.9 = 8460.2 km", " Detour % = (8460.2 / 1403.9) × 100 = 602.6%", "Step 5: Determine if on route (typically < 10% detour)", " 602.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 9.58144, "lon": -69.23851, "name": "Araure" }, "end": { "lat": 7.88299, "lon": -76.62587, "name": "Apartadó" }, "waypoint": { "lat": 52.44254, "lon": 13.58228, "name": "Berlin Köpenick" }, "question": "Is Berlin Köpenick approximately on the direct path from Araure to Apartadó?", "ground_truth": { "answer": false, "direct_distance_km": 833.5, "via_waypoint_km": 18006.2, "detour_km": 17172.7, "detour_percent": 2060.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Araure", " End: Apartadó", " Waypoint: Berlin Köpenick", "Step 2: Calculate direct distance", " Start → End: 833.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18006.2 km", "Step 4: Calculate detour", " Detour = 18006.2 - 833.5 = 17172.7 km", " Detour % = (17172.7 / 833.5) × 100 = 2060.2%", "Step 5: Determine if on route (typically < 10% detour)", " 2060.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -0.72104, "lon": 37.15259, "name": "Murang’a" }, "end": { "lat": 38.70712, "lon": -121.28106, "name": "Citrus Heights" }, "waypoint": { "lat": 31.22323, "lon": -85.39049, "name": "Dothan" }, "question": "Is Dothan approximately on the direct path from Murang’a to Citrus Heights?", "ground_truth": { "answer": true, "direct_distance_km": 15254.1, "via_waypoint_km": 16451.3, "detour_km": 1197.1, "detour_percent": 7.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Murang’a", " End: Citrus Heights", " Waypoint: Dothan", "Step 2: Calculate direct distance", " Start → End: 15254.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16451.3 km", "Step 4: Calculate detour", " Detour = 16451.3 - 15254.1 = 1197.1 km", " Detour % = (1197.1 / 15254.1) × 100 = 7.8%", "Step 5: Determine if on route (typically < 10% detour)", " 7.8% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 53.69803, "lon": -2.46494, "name": "Darwen" }, "end": { "lat": 47.40165, "lon": 8.40015, "name": "Dietikon" }, "waypoint": { "lat": 21.0, "lon": 83.06667, "name": "Padmapur" }, "question": "Is Padmapur approximately on the direct path from Darwen to Dietikon?", "ground_truth": { "answer": false, "direct_distance_km": 1036.9, "via_waypoint_km": 15021.6, "detour_km": 13984.7, "detour_percent": 1348.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Darwen", " End: Dietikon", " Waypoint: Padmapur", "Step 2: Calculate direct distance", " Start → End: 1036.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15021.6 km", "Step 4: Calculate detour", " Detour = 15021.6 - 1036.9 = 13984.7 km", " Detour % = (13984.7 / 1036.9) × 100 = 1348.7%", "Step 5: Determine if on route (typically < 10% detour)", " 1348.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -29.95111, "lon": -51.09389, "name": "Cachoeirinha" }, "end": { "lat": 18.23915, "lon": -96.13569, "name": "Tres Valles" }, "waypoint": { "lat": -0.93605, "lon": 38.05955, "name": "Mwingi" }, "question": "Is Mwingi approximately on the direct path from Cachoeirinha to Tres Valles?", "ground_truth": { "answer": false, "direct_distance_km": 7209.5, "via_waypoint_km": 24534.4, "detour_km": 17325.0, "detour_percent": 240.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Cachoeirinha", " End: Tres Valles", " Waypoint: Mwingi", "Step 2: Calculate direct distance", " Start → End: 7209.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24534.4 km", "Step 4: Calculate detour", " Detour = 24534.4 - 7209.5 = 17325.0 km", " Detour % = (17325.0 / 7209.5) × 100 = 240.3%", "Step 5: Determine if on route (typically < 10% detour)", " 240.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 38.59505, "lon": -90.54623, "name": "Ballwin" }, "end": { "lat": 48.57442, "lon": 19.15324, "name": "Zvolen" }, "waypoint": { "lat": -4.8, "lon": 38.21667, "name": "Mazinde" }, "question": "Is Mazinde approximately on the direct path from Ballwin to Zvolen?", "ground_truth": { "answer": false, "direct_distance_km": 8110.2, "via_waypoint_km": 19857.9, "detour_km": 11747.7, "detour_percent": 144.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ballwin", " End: Zvolen", " Waypoint: Mazinde", "Step 2: Calculate direct distance", " Start → End: 8110.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19857.9 km", "Step 4: Calculate detour", " Detour = 19857.9 - 8110.2 = 11747.7 km", " Detour % = (11747.7 / 8110.2) × 100 = 144.9%", "Step 5: Determine if on route (typically < 10% detour)", " 144.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -24.1928, "lon": -65.29342, "name": "San Salvador de Jujuy" }, "end": { "lat": 48.94407, "lon": 9.11755, "name": "Bietigheim-Bissingen" }, "waypoint": { "lat": -32.16422, "lon": 25.61918, "name": "Cradock" }, "question": "Is Cradock approximately on the direct path from San Salvador de Jujuy to Bietigheim-Bissingen?", "ground_truth": { "answer": false, "direct_distance_km": 10954.1, "via_waypoint_km": 17852.8, "detour_km": 6898.7, "detour_percent": 63.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: San Salvador de Jujuy", " End: Bietigheim-Bissingen", " Waypoint: Cradock", "Step 2: Calculate direct distance", " Start → End: 10954.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17852.8 km", "Step 4: Calculate detour", " Detour = 17852.8 - 10954.1 = 6898.7 km", " Detour % = (6898.7 / 10954.1) × 100 = 63.0%", "Step 5: Determine if on route (typically < 10% detour)", " 63.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -9.53694, "lon": -36.63361, "name": "Igaci" }, "end": { "lat": -7.63369, "lon": 39.05818, "name": "Bungu" }, "waypoint": { "lat": 12.51115, "lon": 78.55524, "name": "Pāchchal" }, "question": "Is Pāchchal approximately on the direct path from Igaci to Bungu?", "ground_truth": { "answer": false, "direct_distance_km": 8308.3, "via_waypoint_km": 17856.2, "detour_km": 9548.0, "detour_percent": 114.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Igaci", " End: Bungu", " Waypoint: Pāchchal", "Step 2: Calculate direct distance", " Start → End: 8308.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17856.2 km", "Step 4: Calculate detour", " Detour = 17856.2 - 8308.3 = 9548.0 km", " Detour % = (9548.0 / 8308.3) × 100 = 114.9%", "Step 5: Determine if on route (typically < 10% detour)", " 114.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 39.70838, "lon": -91.35848, "name": "Hannibal" }, "end": { "lat": -33.73333, "lon": 150.93284, "name": "Glenwood" }, "waypoint": { "lat": 44.20169, "lon": 17.90397, "name": "Zenica" }, "question": "Is Zenica approximately on the direct path from Hannibal to Glenwood?", "ground_truth": { "answer": false, "direct_distance_km": 14534.6, "via_waypoint_km": 24160.8, "detour_km": 9626.2, "detour_percent": 66.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Hannibal", " End: Glenwood", " Waypoint: Zenica", "Step 2: Calculate direct distance", " Start → End: 14534.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24160.8 km", "Step 4: Calculate detour", " Detour = 24160.8 - 14534.6 = 9626.2 km", " Detour % = (9626.2 / 14534.6) × 100 = 66.2%", "Step 5: Determine if on route (typically < 10% detour)", " 66.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 42.3876, "lon": -71.00366, "name": "Orient Heights" }, "end": { "lat": -15.71667, "lon": 46.31667, "name": "Mahajanga" }, "waypoint": { "lat": 45.05242, "lon": 9.69342, "name": "Piacenza" }, "question": "Is Piacenza approximately on the direct path from Orient Heights to Mahajanga?", "ground_truth": { "answer": true, "direct_distance_km": 13409.3, "via_waypoint_km": 13911.1, "detour_km": 501.8, "detour_percent": 3.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Orient Heights", " End: Mahajanga", " Waypoint: Piacenza", "Step 2: Calculate direct distance", " Start → End: 13409.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13911.1 km", "Step 4: Calculate detour", " Detour = 13911.1 - 13409.3 = 501.8 km", " Detour % = (501.8 / 13409.3) × 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": 5.50803, "lon": 10.6325, "name": "Foumbot" }, "end": { "lat": 54.59682, "lon": -5.92541, "name": "Belfast" }, "waypoint": { "lat": 25.56078, "lon": 81.49164, "name": "Bharwāri" }, "question": "Is Bharwāri approximately on the direct path from Foumbot to Belfast?", "ground_truth": { "answer": false, "direct_distance_km": 5657.4, "via_waypoint_km": 15382.3, "detour_km": 9725.0, "detour_percent": 171.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Foumbot", " End: Belfast", " Waypoint: Bharwāri", "Step 2: Calculate direct distance", " Start → End: 5657.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15382.3 km", "Step 4: Calculate detour", " Detour = 15382.3 - 5657.4 = 9725.0 km", " Detour % = (9725.0 / 5657.4) × 100 = 171.9%", "Step 5: Determine if on route (typically < 10% detour)", " 171.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -29.95917, "lon": -51.72222, "name": "São Jerônimo" }, "end": { "lat": -19.41361, "lon": -42.41944, "name": "Ipaba" }, "waypoint": { "lat": 42.99812, "lon": -78.18752, "name": "Batavia" }, "question": "Is Batavia approximately on the direct path from São Jerônimo to Ipaba?", "ground_truth": { "answer": false, "direct_distance_km": 1501.3, "via_waypoint_km": 16395.3, "detour_km": 14894.0, "detour_percent": 992.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: São Jerônimo", " End: Ipaba", " Waypoint: Batavia", "Step 2: Calculate direct distance", " Start → End: 1501.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16395.3 km", "Step 4: Calculate detour", " Detour = 16395.3 - 1501.3 = 14894.0 km", " Detour % = (14894.0 / 1501.3) × 100 = 992.1%", "Step 5: Determine if on route (typically < 10% detour)", " 992.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 37.70577, "lon": -122.46192, "name": "Daly City" }, "end": { "lat": 25.9109, "lon": 78.56193, "name": "Indargarh" }, "waypoint": { "lat": -15.77553, "lon": -47.78117, "name": "Paranoá" }, "question": "Is Paranoá approximately on the direct path from Daly City to Indargarh?", "ground_truth": { "answer": false, "direct_distance_km": 12608.5, "via_waypoint_km": 24149.6, "detour_km": 11541.1, "detour_percent": 91.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Daly City", " End: Indargarh", " Waypoint: Paranoá", "Step 2: Calculate direct distance", " Start → End: 12608.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24149.6 km", "Step 4: Calculate detour", " Detour = 24149.6 - 12608.5 = 11541.1 km", " Detour % = (11541.1 / 12608.5) × 100 = 91.5%", "Step 5: Determine if on route (typically < 10% detour)", " 91.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -17.38195, "lon": -66.15995, "name": "Cochabamba" }, "end": { "lat": 9.9333, "lon": 13.94671, "name": "Guider" }, "waypoint": { "lat": 11.9801, "lon": 18.2138, "name": "Bitkine" }, "question": "Is Bitkine approximately on the direct path from Cochabamba to Guider?", "ground_truth": { "answer": false, "direct_distance_km": 9305.5, "via_waypoint_km": 10337.9, "detour_km": 1032.5, "detour_percent": 11.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Cochabamba", " End: Guider", " Waypoint: Bitkine", "Step 2: Calculate direct distance", " Start → End: 9305.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 10337.9 km", "Step 4: Calculate detour", " Detour = 10337.9 - 9305.5 = 1032.5 km", " Detour % = (1032.5 / 9305.5) × 100 = 11.1%", "Step 5: Determine if on route (typically < 10% detour)", " 11.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 12.82632, "lon": 77.68085, "name": "Hebbagodi" }, "end": { "lat": 22.30933, "lon": 114.23634, "name": "Lam Tin" }, "waypoint": { "lat": -25.915, "lon": -53.47278, "name": "Ampére" }, "question": "Is Ampére approximately on the direct path from Hebbagodi to Lam Tin?", "ground_truth": { "answer": false, "direct_distance_km": 4004.5, "via_waypoint_km": 33426.5, "detour_km": 29422.0, "detour_percent": 734.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Hebbagodi", " End: Lam Tin", " Waypoint: Ampére", "Step 2: Calculate direct distance", " Start → End: 4004.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 33426.5 km", "Step 4: Calculate detour", " Detour = 33426.5 - 4004.5 = 29422.0 km", " Detour % = (29422.0 / 4004.5) × 100 = 734.7%", "Step 5: Determine if on route (typically < 10% detour)", " 734.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -15.45694, "lon": 38.67722, "name": "Murrupula" }, "end": { "lat": 34.01223, "lon": -117.68894, "name": "Chino" }, "waypoint": { "lat": 39.62953, "lon": -79.9559, "name": "Morgantown" }, "question": "Is Morgantown approximately on the direct path from Murrupula to Chino?", "ground_truth": { "answer": true, "direct_distance_km": 16875.4, "via_waypoint_km": 16925.0, "detour_km": 49.6, "detour_percent": 0.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Murrupula", " End: Chino", " Waypoint: Morgantown", "Step 2: Calculate direct distance", " Start → End: 16875.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16925.0 km", "Step 4: Calculate detour", " Detour = 16925.0 - 16875.4 = 49.6 km", " Detour % = (49.6 / 16875.4) × 100 = 0.3%", "Step 5: Determine if on route (typically < 10% detour)", " 0.3% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 40.80677, "lon": -74.18542, "name": "Bloomfield" }, "end": { "lat": 56.11586, "lon": -3.78997, "name": "Alloa" }, "waypoint": { "lat": 1.976, "lon": 102.8835, "name": "Parit Sulung" }, "question": "Is Parit Sulung approximately on the direct path from Bloomfield to Alloa?", "ground_truth": { "answer": false, "direct_distance_km": 5207.7, "via_waypoint_km": 26094.7, "detour_km": 20887.0, "detour_percent": 401.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Bloomfield", " End: Alloa", " Waypoint: Parit Sulung", "Step 2: Calculate direct distance", " Start → End: 5207.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 26094.7 km", "Step 4: Calculate detour", " Detour = 26094.7 - 5207.7 = 20887.0 km", " Detour % = (20887.0 / 5207.7) × 100 = 401.1%", "Step 5: Determine if on route (typically < 10% detour)", " 401.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 28.55207, "lon": 70.46837, "name": "Kot Samaba" }, "end": { "lat": 6.56297, "lon": -7.8172, "name": "Zéaglo" }, "waypoint": { "lat": 41.32784, "lon": 2.09472, "name": "El Prat de Llobregat" }, "question": "Is El Prat de Llobregat approximately on the direct path from Kot Samaba to Zéaglo?", "ground_truth": { "answer": false, "direct_distance_km": 8517.2, "via_waypoint_km": 10218.9, "detour_km": 1701.7, "detour_percent": 20.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kot Samaba", " End: Zéaglo", " Waypoint: El Prat de Llobregat", "Step 2: Calculate direct distance", " Start → End: 8517.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 10218.9 km", "Step 4: Calculate detour", " Detour = 10218.9 - 8517.2 = 1701.7 km", " Detour % = (1701.7 / 8517.2) × 100 = 20.0%", "Step 5: Determine if on route (typically < 10% detour)", " 20.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 43.29438, "lon": -8.34736, "name": "Cambre" }, "end": { "lat": 43.78583, "lon": -79.43142, "name": "Newtonbrook West" }, "waypoint": { "lat": 62.45411, "lon": -114.37248, "name": "Yellowknife" }, "question": "Is Yellowknife approximately on the direct path from Cambre to Newtonbrook West?", "ground_truth": { "answer": false, "direct_distance_km": 5542.5, "via_waypoint_km": 9615.3, "detour_km": 4072.7, "detour_percent": 73.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Cambre", " End: Newtonbrook West", " Waypoint: Yellowknife", "Step 2: Calculate direct distance", " Start → End: 5542.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 9615.3 km", "Step 4: Calculate detour", " Detour = 9615.3 - 5542.5 = 4072.7 km", " Detour % = (4072.7 / 5542.5) × 100 = 73.5%", "Step 5: Determine if on route (typically < 10% detour)", " 73.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 40.35398, "lon": 45.12386, "name": "Gavar" }, "end": { "lat": 2.78087, "lon": 45.50048, "name": "Jawhar" }, "waypoint": { "lat": 37.6391, "lon": -120.99688, "name": "Modesto" }, "question": "Is Modesto approximately on the direct path from Gavar to Jawhar?", "ground_truth": { "answer": false, "direct_distance_km": 4178.1, "via_waypoint_km": 26537.9, "detour_km": 22359.8, "detour_percent": 535.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Gavar", " End: Jawhar", " Waypoint: Modesto", "Step 2: Calculate direct distance", " Start → End: 4178.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 26537.9 km", "Step 4: Calculate detour", " Detour = 26537.9 - 4178.1 = 22359.8 km", " Detour % = (22359.8 / 4178.1) × 100 = 535.2%", "Step 5: Determine if on route (typically < 10% detour)", " 535.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 29.99409, "lon": -90.24174, "name": "Kenner" }, "end": { "lat": -37.86667, "lon": 145.06667, "name": "Glen Iris" }, "waypoint": { "lat": -15.43527, "lon": 49.73794, "name": "Maroantsetra" }, "question": "Is Maroantsetra approximately on the direct path from Kenner to Glen Iris?", "ground_truth": { "answer": false, "direct_distance_km": 14912.0, "via_waypoint_km": 25046.6, "detour_km": 10134.6, "detour_percent": 68.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kenner", " End: Glen Iris", " Waypoint: Maroantsetra", "Step 2: Calculate direct distance", " Start → End: 14912.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 25046.6 km", "Step 4: Calculate detour", " Detour = 25046.6 - 14912.0 = 10134.6 km", " Detour % = (10134.6 / 14912.0) × 100 = 68.0%", "Step 5: Determine if on route (typically < 10% detour)", " 68.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 8.44976, "lon": 77.02573, "name": "Pallichal" }, "end": { "lat": 35.20125, "lon": 102.52117, "name": "Labuleng" }, "waypoint": { "lat": 42.50982, "lon": -70.94949, "name": "South Peabody" }, "question": "Is South Peabody approximately on the direct path from Pallichal to Labuleng?", "ground_truth": { "answer": false, "direct_distance_km": 3945.9, "via_waypoint_km": 24831.9, "detour_km": 20886.1, "detour_percent": 529.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Pallichal", " End: Labuleng", " Waypoint: South Peabody", "Step 2: Calculate direct distance", " Start → End: 3945.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24831.9 km", "Step 4: Calculate detour", " Detour = 24831.9 - 3945.9 = 20886.1 km", " Detour % = (20886.1 / 3945.9) × 100 = 529.3%", "Step 5: Determine if on route (typically < 10% detour)", " 529.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -16.17028, "lon": -42.29028, "name": "Salinas" }, "end": { "lat": -3.29417, "lon": -45.17361, "name": "Penalva" }, "waypoint": { "lat": 46.66817, "lon": 11.15953, "name": "Merano" }, "question": "Is Merano approximately on the direct path from Salinas to Penalva?", "ground_truth": { "answer": false, "direct_distance_km": 1466.1, "via_waypoint_km": 16601.1, "detour_km": 15135.0, "detour_percent": 1032.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Salinas", " End: Penalva", " Waypoint: Merano", "Step 2: Calculate direct distance", " Start → End: 1466.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16601.1 km", "Step 4: Calculate detour", " Detour = 16601.1 - 1466.1 = 15135.0 km", " Detour % = (15135.0 / 1466.1) × 100 = 1032.4%", "Step 5: Determine if on route (typically < 10% detour)", " 1032.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 7.55122, "lon": 6.23589, "name": "Okene" }, "end": { "lat": 40.4344, "lon": -3.70803, "name": "Arapiles" }, "waypoint": { "lat": -23.76639, "lon": -53.325, "name": "Umuarama" }, "question": "Is Umuarama approximately on the direct path from Okene to Arapiles?", "ground_truth": { "answer": false, "direct_distance_km": 3787.4, "via_waypoint_km": 16129.3, "detour_km": 12341.9, "detour_percent": 325.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Okene", " End: Arapiles", " Waypoint: Umuarama", "Step 2: Calculate direct distance", " Start → End: 3787.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16129.3 km", "Step 4: Calculate detour", " Detour = 16129.3 - 3787.4 = 12341.9 km", " Detour % = (12341.9 / 3787.4) × 100 = 325.9%", "Step 5: Determine if on route (typically < 10% detour)", " 325.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 30.5309, "lon": 75.87949, "name": "Māler Kotla" }, "end": { "lat": 47.25395, "lon": 16.93525, "name": "Sárvár" }, "waypoint": { "lat": 59.53436, "lon": 18.07758, "name": "Vallentuna" }, "question": "Is Vallentuna approximately on the direct path from Māler Kotla to Sárvár?", "ground_truth": { "answer": false, "direct_distance_km": 5289.8, "via_waypoint_km": 6692.5, "detour_km": 1402.8, "detour_percent": 26.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Māler Kotla", " End: Sárvár", " Waypoint: Vallentuna", "Step 2: Calculate direct distance", " Start → End: 5289.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 6692.5 km", "Step 4: Calculate detour", " Detour = 6692.5 - 5289.8 = 1402.8 km", " Detour % = (1402.8 / 5289.8) × 100 = 26.5%", "Step 5: Determine if on route (typically < 10% detour)", " 26.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 12.07354, "lon": 75.2412, "name": "Kunnimangalam" }, "end": { "lat": 51.53622, "lon": -0.10304, "name": "Islington" }, "waypoint": { "lat": -20.46417, "lon": -41.41306, "name": "Muniz Freire" }, "question": "Is Muniz Freire approximately on the direct path from Kunnimangalam to Islington?", "ground_truth": { "answer": false, "direct_distance_km": 7948.0, "via_waypoint_km": 22185.3, "detour_km": 14237.3, "detour_percent": 179.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kunnimangalam", " End: Islington", " Waypoint: Muniz Freire", "Step 2: Calculate direct distance", " Start → End: 7948.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22185.3 km", "Step 4: Calculate detour", " Detour = 22185.3 - 7948.0 = 14237.3 km", " Detour % = (14237.3 / 7948.0) × 100 = 179.1%", "Step 5: Determine if on route (typically < 10% detour)", " 179.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -18.36446, "lon": 26.49877, "name": "Hwange" }, "end": { "lat": 14.16347, "lon": 38.89924, "name": "Adwa" }, "waypoint": { "lat": -22.40389, "lon": -43.6625, "name": "Vassouras" }, "question": "Is Vassouras approximately on the direct path from Hwange to Adwa?", "ground_truth": { "answer": false, "direct_distance_km": 3863.9, "via_waypoint_km": 17123.4, "detour_km": 13259.6, "detour_percent": 343.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Hwange", " End: Adwa", " Waypoint: Vassouras", "Step 2: Calculate direct distance", " Start → End: 3863.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17123.4 km", "Step 4: Calculate detour", " Detour = 17123.4 - 3863.9 = 13259.6 km", " Detour % = (13259.6 / 3863.9) × 100 = 343.2%", "Step 5: Determine if on route (typically < 10% detour)", " 343.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 47.77591, "lon": 19.13612, "name": "Vác" }, "end": { "lat": 40.83625, "lon": 17.36007, "name": "Fasano" }, "waypoint": { "lat": 32.63958, "lon": -96.53832, "name": "Seagoville" }, "question": "Is Seagoville approximately on the direct path from Vác to Fasano?", "ground_truth": { "answer": false, "direct_distance_km": 784.4, "via_waypoint_km": 18425.1, "detour_km": 17640.7, "detour_percent": 2248.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Vác", " End: Fasano", " Waypoint: Seagoville", "Step 2: Calculate direct distance", " Start → End: 784.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18425.1 km", "Step 4: Calculate detour", " Detour = 18425.1 - 784.4 = 17640.7 km", " Detour % = (17640.7 / 784.4) × 100 = 2248.9%", "Step 5: Determine if on route (typically < 10% detour)", " 2248.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 49.36304, "lon": 16.64446, "name": "Blansko" }, "end": { "lat": 22.73542, "lon": -12.47134, "name": "Zouérat" }, "waypoint": { "lat": 34.31, "lon": -2.16, "name": "Jerada" }, "question": "Is Jerada approximately on the direct path from Blansko to Zouérat?", "ground_truth": { "answer": true, "direct_distance_km": 3904.2, "via_waypoint_km": 3906.3, "detour_km": 2.1, "detour_percent": 0.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Blansko", " End: Zouérat", " Waypoint: Jerada", "Step 2: Calculate direct distance", " Start → End: 3904.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 3906.3 km", "Step 4: Calculate detour", " Detour = 3906.3 - 3904.2 = 2.1 km", " Detour % = (2.1 / 3904.2) × 100 = 0.1%", "Step 5: Determine if on route (typically < 10% detour)", " 0.1% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 25.6604, "lon": -100.40651, "name": "San Pedro Garza García" }, "end": { "lat": 54.12226, "lon": 17.98119, "name": "Kościerzyna" }, "waypoint": { "lat": -1.19667, "lon": -46.14, "name": "Viseu" }, "question": "Is Viseu approximately on the direct path from San Pedro Garza García to Kościerzyna?", "ground_truth": { "answer": false, "direct_distance_km": 9371.1, "via_waypoint_km": 15015.2, "detour_km": 5644.0, "detour_percent": 60.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: San Pedro Garza García", " End: Kościerzyna", " Waypoint: Viseu", "Step 2: Calculate direct distance", " Start → End: 9371.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15015.2 km", "Step 4: Calculate detour", " Detour = 15015.2 - 9371.1 = 5644.0 km", " Detour % = (5644.0 / 9371.1) × 100 = 60.2%", "Step 5: Determine if on route (typically < 10% detour)", " 60.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 6.96667, "lon": 37.86667, "name": "Bodītī" }, "end": { "lat": -25.78842, "lon": 31.05319, "name": "Barberton" }, "waypoint": { "lat": 53.07738, "lon": 7.40444, "name": "Papenburg" }, "question": "Is Papenburg approximately on the direct path from Bodītī to Barberton?", "ground_truth": { "answer": false, "direct_distance_km": 3715.9, "via_waypoint_km": 14883.3, "detour_km": 11167.4, "detour_percent": 300.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Bodītī", " End: Barberton", " Waypoint: Papenburg", "Step 2: Calculate direct distance", " Start → End: 3715.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14883.3 km", "Step 4: Calculate detour", " Detour = 14883.3 - 3715.9 = 11167.4 km", " Detour % = (11167.4 / 3715.9) × 100 = 300.5%", "Step 5: Determine if on route (typically < 10% detour)", " 300.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 44.08436, "lon": 131.11841, "name": "Dongning" }, "end": { "lat": 35.35014, "lon": -80.20006, "name": "Albemarle" }, "waypoint": { "lat": -21.89222, "lon": -45.59528, "name": "São Gonçalo do Sapucaí" }, "question": "Is São Gonçalo do Sapucaí approximately on the direct path from Dongning to Albemarle?", "ground_truth": { "answer": false, "direct_distance_km": 10632.9, "via_waypoint_km": 24864.7, "detour_km": 14231.8, "detour_percent": 133.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Dongning", " End: Albemarle", " Waypoint: São Gonçalo do Sapucaí", "Step 2: Calculate direct distance", " Start → End: 10632.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24864.7 km", "Step 4: Calculate detour", " Detour = 24864.7 - 10632.9 = 14231.8 km", " Detour % = (14231.8 / 10632.9) × 100 = 133.8%", "Step 5: Determine if on route (typically < 10% detour)", " 133.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 12.37136, "lon": -1.41468, "name": "Saaba" }, "end": { "lat": -1.6558, "lon": 37.37454, "name": "Kinoi" }, "waypoint": { "lat": 38.5758, "lon": 42.01558, "name": "Güroymak" }, "question": "Is Güroymak approximately on the direct path from Saaba to Kinoi?", "ground_truth": { "answer": false, "direct_distance_km": 4557.6, "via_waypoint_km": 9671.1, "detour_km": 5113.5, "detour_percent": 112.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Saaba", " End: Kinoi", " Waypoint: Güroymak", "Step 2: Calculate direct distance", " Start → End: 4557.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 9671.1 km", "Step 4: Calculate detour", " Detour = 9671.1 - 4557.6 = 5113.5 km", " Detour % = (5113.5 / 4557.6) × 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": 32.81303, "lon": 34.99928, "name": "Haifa" }, "end": { "lat": 11.26667, "lon": 37.48333, "name": "Ādēt" }, "waypoint": { "lat": -29.51694, "lon": -50.77778, "name": "Três Coroas" }, "question": "Is Três Coroas approximately on the direct path from Haifa to Ādēt?", "ground_truth": { "answer": false, "direct_distance_km": 2409.2, "via_waypoint_km": 21832.1, "detour_km": 19422.8, "detour_percent": 806.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Haifa", " End: Ādēt", " Waypoint: Três Coroas", "Step 2: Calculate direct distance", " Start → End: 2409.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21832.1 km", "Step 4: Calculate detour", " Detour = 21832.1 - 2409.2 = 19422.8 km", " Detour % = (19422.8 / 2409.2) × 100 = 806.2%", "Step 5: Determine if on route (typically < 10% detour)", " 806.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 2.75446, "lon": -76.62791, "name": "Morales" }, "end": { "lat": -7.45806, "lon": 109.28806, "name": "Sokaraja" }, "waypoint": { "lat": 29.5339, "lon": 71.63244, "name": "Lodhran" }, "question": "Is Lodhran approximately on the direct path from Morales to Sokaraja?", "ground_truth": { "answer": true, "direct_distance_km": 19176.9, "via_waypoint_km": 20841.5, "detour_km": 1664.6, "detour_percent": 8.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Morales", " End: Sokaraja", " Waypoint: Lodhran", "Step 2: Calculate direct distance", " Start → End: 19176.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20841.5 km", "Step 4: Calculate detour", " Detour = 20841.5 - 19176.9 = 1664.6 km", " Detour % = (1664.6 / 19176.9) × 100 = 8.7%", "Step 5: Determine if on route (typically < 10% detour)", " 8.7% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -2.63639, "lon": -54.93722, "name": "Belterra" }, "end": { "lat": 33.6, "lon": 133.68333, "name": "Tosayamadachō-nakano" }, "waypoint": { "lat": 47.55074, "lon": 7.53599, "name": "Allschwil" }, "question": "Is Allschwil approximately on the direct path from Belterra to Tosayamadachō-nakano?", "ground_truth": { "answer": true, "direct_distance_km": 16457.4, "via_waypoint_km": 17733.2, "detour_km": 1275.8, "detour_percent": 7.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Belterra", " End: Tosayamadachō-nakano", " Waypoint: Allschwil", "Step 2: Calculate direct distance", " Start → End: 16457.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17733.2 km", "Step 4: Calculate detour", " Detour = 17733.2 - 16457.4 = 1275.8 km", " Detour % = (1275.8 / 16457.4) × 100 = 7.8%", "Step 5: Determine if on route (typically < 10% detour)", " 7.8% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -1.94995, "lon": 30.05885, "name": "Kigali" }, "end": { "lat": -33.92893, "lon": 151.05111, "name": "Punchbowl" }, "waypoint": { "lat": -3.54306, "lon": -43.91583, "name": "Vargem Grande" }, "question": "Is Vargem Grande approximately on the direct path from Kigali to Punchbowl?", "ground_truth": { "answer": false, "direct_distance_km": 12685.1, "via_waypoint_km": 23778.7, "detour_km": 11093.6, "detour_percent": 87.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kigali", " End: Punchbowl", " Waypoint: Vargem Grande", "Step 2: Calculate direct distance", " Start → End: 12685.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23778.7 km", "Step 4: Calculate detour", " Detour = 23778.7 - 12685.1 = 11093.6 km", " Detour % = (11093.6 / 12685.1) × 100 = 87.5%", "Step 5: Determine if on route (typically < 10% detour)", " 87.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -28.51222, "lon": -50.93389, "name": "Vacaria" }, "end": { "lat": 20.9, "lon": 105.58333, "name": "Xuân Mai" }, "waypoint": { "lat": 12.57778, "lon": -15.87222, "name": "Goudomp" }, "question": "Is Goudomp approximately on the direct path from Vacaria to Xuân Mai?", "ground_truth": { "answer": true, "direct_distance_km": 17501.9, "via_waypoint_km": 18539.6, "detour_km": 1037.7, "detour_percent": 5.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Vacaria", " End: Xuân Mai", " Waypoint: Goudomp", "Step 2: Calculate direct distance", " Start → End: 17501.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18539.6 km", "Step 4: Calculate detour", " Detour = 18539.6 - 17501.9 = 1037.7 km", " Detour % = (1037.7 / 17501.9) × 100 = 5.9%", "Step 5: Determine if on route (typically < 10% detour)", " 5.9% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 8.28333, "lon": -7.68333, "name": "Touba" }, "end": { "lat": 42.33065, "lon": -71.09116, "name": "Roxbury Crossing" }, "waypoint": { "lat": -36.8582, "lon": 174.62019, "name": "Lincoln" }, "question": "Is Lincoln approximately on the direct path from Touba to Roxbury Crossing?", "ground_truth": { "answer": false, "direct_distance_km": 7214.5, "via_waypoint_km": 31321.7, "detour_km": 24107.2, "detour_percent": 334.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Touba", " End: Roxbury Crossing", " Waypoint: Lincoln", "Step 2: Calculate direct distance", " Start → End: 7214.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 31321.7 km", "Step 4: Calculate detour", " Detour = 31321.7 - 7214.5 = 24107.2 km", " Detour % = (24107.2 / 7214.5) × 100 = 334.1%", "Step 5: Determine if on route (typically < 10% detour)", " 334.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 34.68284, "lon": 6.51109, "name": "Zeribet el Oued" }, "end": { "lat": 35.56348, "lon": 139.72101, "name": "Kamata" }, "waypoint": { "lat": 15.88109, "lon": 78.58704, "name": "Atmakūr" }, "question": "Is Atmakūr approximately on the direct path from Zeribet el Oued to Kamata?", "ground_truth": { "answer": false, "direct_distance_km": 10819.1, "via_waypoint_km": 13788.8, "detour_km": 2969.6, "detour_percent": 27.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Zeribet el Oued", " End: Kamata", " Waypoint: Atmakūr", "Step 2: Calculate direct distance", " Start → End: 10819.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13788.8 km", "Step 4: Calculate detour", " Detour = 13788.8 - 10819.1 = 2969.6 km", " Detour % = (2969.6 / 10819.1) × 100 = 27.4%", "Step 5: Determine if on route (typically < 10% detour)", " 27.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 40.60872, "lon": -74.09598, "name": "Emerson Hill" }, "end": { "lat": 24.43415, "lon": 118.31712, "name": "Jincheng" }, "waypoint": { "lat": 6.92477, "lon": 158.16109, "name": "Palikir" }, "question": "Is Palikir approximately on the direct path from Emerson Hill to Jincheng?", "ground_truth": { "answer": false, "direct_distance_km": 12669.6, "via_waypoint_km": 17174.5, "detour_km": 4504.9, "detour_percent": 35.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Emerson Hill", " End: Jincheng", " Waypoint: Palikir", "Step 2: Calculate direct distance", " Start → End: 12669.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17174.5 km", "Step 4: Calculate detour", " Detour = 17174.5 - 12669.6 = 4504.9 km", " Detour % = (4504.9 / 12669.6) × 100 = 35.6%", "Step 5: Determine if on route (typically < 10% detour)", " 35.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -29.59111, "lon": -51.16056, "name": "Ivoti" }, "end": { "lat": 15.3276, "lon": 119.978, "name": "Iba" }, "waypoint": { "lat": -20.06373, "lon": 30.82766, "name": "Masvingo" }, "question": "Is Masvingo approximately on the direct path from Ivoti to Iba?", "ground_truth": { "answer": true, "direct_distance_km": 18188.1, "via_waypoint_km": 18678.1, "detour_km": 490.0, "detour_percent": 2.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ivoti", " End: Iba", " Waypoint: Masvingo", "Step 2: Calculate direct distance", " Start → End: 18188.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18678.1 km", "Step 4: Calculate detour", " Detour = 18678.1 - 18188.1 = 490.0 km", " Detour % = (490.0 / 18188.1) × 100 = 2.7%", "Step 5: Determine if on route (typically < 10% detour)", " 2.7% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 28.0353, "lon": -82.38926, "name": "Temple Terrace" }, "end": { "lat": 22.33212, "lon": 114.19277, "name": "Tung Tau Estate" }, "waypoint": { "lat": -23.53729, "lon": -46.5666, "name": "Tatuapé" }, "question": "Is Tatuapé approximately on the direct path from Temple Terrace to Tung Tau Estate?", "ground_truth": { "answer": false, "direct_distance_km": 14138.5, "via_waypoint_km": 24943.2, "detour_km": 10804.7, "detour_percent": 76.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Temple Terrace", " End: Tung Tau Estate", " Waypoint: Tatuapé", "Step 2: Calculate direct distance", " Start → End: 14138.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24943.2 km", "Step 4: Calculate detour", " Detour = 24943.2 - 14138.5 = 10804.7 km", " Detour % = (10804.7 / 14138.5) × 100 = 76.4%", "Step 5: Determine if on route (typically < 10% detour)", " 76.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -12.96121, "lon": 15.05958, "name": "Ucuma" }, "end": { "lat": -24.75722, "lon": -51.76139, "name": "Pitanga" }, "waypoint": { "lat": 23.7902, "lon": 87.37648, "name": "Dubrājpur" }, "question": "Is Dubrājpur approximately on the direct path from Ucuma to Pitanga?", "ground_truth": { "answer": false, "direct_distance_km": 7088.9, "via_waypoint_km": 24739.3, "detour_km": 17650.3, "detour_percent": 249.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ucuma", " End: Pitanga", " Waypoint: Dubrājpur", "Step 2: Calculate direct distance", " Start → End: 7088.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24739.3 km", "Step 4: Calculate detour", " Detour = 24739.3 - 7088.9 = 17650.3 km", " Detour % = (17650.3 / 7088.9) × 100 = 249.0%", "Step 5: Determine if on route (typically < 10% detour)", " 249.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 13.08449, "lon": 79.67053, "name": "Arakkonam" }, "end": { "lat": 34.06667, "lon": 136.2, "name": "Owase" }, "waypoint": { "lat": -28.76197, "lon": 31.89329, "name": "Empangeni" }, "question": "Is Empangeni approximately on the direct path from Arakkonam to Owase?", "ground_truth": { "answer": false, "direct_distance_km": 6129.4, "via_waypoint_km": 19901.2, "detour_km": 13771.8, "detour_percent": 224.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Arakkonam", " End: Owase", " Waypoint: Empangeni", "Step 2: Calculate direct distance", " Start → End: 6129.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19901.2 km", "Step 4: Calculate detour", " Detour = 19901.2 - 6129.4 = 13771.8 km", " Detour % = (13771.8 / 6129.4) × 100 = 224.7%", "Step 5: Determine if on route (typically < 10% detour)", " 224.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 11.46077, "lon": -69.5657, "name": "La Vela de Coro" }, "end": { "lat": 50.31542, "lon": 19.07824, "name": "Czeladź" }, "waypoint": { "lat": 5.2118, "lon": -3.73884, "name": "Grand-Bassam" }, "question": "Is Grand-Bassam approximately on the direct path from La Vela de Coro to Czeladź?", "ground_truth": { "answer": false, "direct_distance_km": 8933.9, "via_waypoint_km": 12710.6, "detour_km": 3776.7, "detour_percent": 42.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: La Vela de Coro", " End: Czeladź", " Waypoint: Grand-Bassam", "Step 2: Calculate direct distance", " Start → End: 8933.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12710.6 km", "Step 4: Calculate detour", " Detour = 12710.6 - 8933.9 = 3776.7 km", " Detour % = (3776.7 / 8933.9) × 100 = 42.3%", "Step 5: Determine if on route (typically < 10% detour)", " 42.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -32.84043, "lon": -70.95623, "name": "Llaillay" }, "end": { "lat": 8.98333, "lon": 1.13333, "name": "Sokodé" }, "waypoint": { "lat": -22.34881, "lon": 30.04074, "name": "Musina" }, "question": "Is Musina approximately on the direct path from Llaillay to Sokodé?", "ground_truth": { "answer": false, "direct_distance_km": 8915.7, "via_waypoint_km": 14334.8, "detour_km": 5419.1, "detour_percent": 60.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Llaillay", " End: Sokodé", " Waypoint: Musina", "Step 2: Calculate direct distance", " Start → End: 8915.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14334.8 km", "Step 4: Calculate detour", " Detour = 14334.8 - 8915.7 = 5419.1 km", " Detour % = (5419.1 / 8915.7) × 100 = 60.8%", "Step 5: Determine if on route (typically < 10% detour)", " 60.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 21.55, "lon": 107.96667, "name": "Dongxing" }, "end": { "lat": 7.50251, "lon": 5.06258, "name": "Igbara-Odo" }, "waypoint": { "lat": 53.32803, "lon": -2.23148, "name": "Wilmslow" }, "question": "Is Wilmslow approximately on the direct path from Dongxing to Igbara-Odo?", "ground_truth": { "answer": false, "direct_distance_km": 11018.2, "via_waypoint_km": 14489.3, "detour_km": 3471.1, "detour_percent": 31.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Dongxing", " End: Igbara-Odo", " Waypoint: Wilmslow", "Step 2: Calculate direct distance", " Start → End: 11018.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14489.3 km", "Step 4: Calculate detour", " Detour = 14489.3 - 11018.2 = 3471.1 km", " Detour % = (3471.1 / 11018.2) × 100 = 31.5%", "Step 5: Determine if on route (typically < 10% detour)", " 31.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 55.6194, "lon": -4.65508, "name": "Irvine" }, "end": { "lat": -7.22944, "lon": -44.55611, "name": "Uruçuí" }, "waypoint": { "lat": -1.52333, "lon": -52.58167, "name": "Almeirim" }, "question": "Is Almeirim approximately on the direct path from Irvine to Uruçuí?", "ground_truth": { "answer": false, "direct_distance_km": 7892.6, "via_waypoint_km": 8779.0, "detour_km": 886.4, "detour_percent": 11.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Irvine", " End: Uruçuí", " Waypoint: Almeirim", "Step 2: Calculate direct distance", " Start → End: 7892.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 8779.0 km", "Step 4: Calculate detour", " Detour = 8779.0 - 7892.6 = 886.4 km", " Detour % = (886.4 / 7892.6) × 100 = 11.2%", "Step 5: Determine if on route (typically < 10% detour)", " 11.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 43.38285, "lon": -3.22043, "name": "Castro-Urdiales" }, "end": { "lat": 34.02001, "lon": -117.94951, "name": "La Puente" }, "waypoint": { "lat": 10.85, "lon": 37.01667, "name": "Tīlīlī" }, "question": "Is Tīlīlī approximately on the direct path from Castro-Urdiales to La Puente?", "ground_truth": { "answer": false, "direct_distance_km": 9162.2, "via_waypoint_km": 19662.0, "detour_km": 10499.8, "detour_percent": 114.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Castro-Urdiales", " End: La Puente", " Waypoint: Tīlīlī", "Step 2: Calculate direct distance", " Start → End: 9162.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19662.0 km", "Step 4: Calculate detour", " Detour = 19662.0 - 9162.2 = 10499.8 km", " Detour % = (10499.8 / 9162.2) × 100 = 114.6%", "Step 5: Determine if on route (typically < 10% detour)", " 114.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 41.57721, "lon": -93.71133, "name": "West Des Moines" }, "end": { "lat": 36.02361, "lon": 119.17611, "name": "Jiayue" }, "waypoint": { "lat": -37.63333, "lon": 144.86667, "name": "Greenvale" }, "question": "Is Greenvale approximately on the direct path from West Des Moines to Jiayue?", "ground_truth": { "answer": false, "direct_distance_km": 10759.5, "via_waypoint_km": 23681.3, "detour_km": 12921.7, "detour_percent": 120.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: West Des Moines", " End: Jiayue", " Waypoint: Greenvale", "Step 2: Calculate direct distance", " Start → End: 10759.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23681.3 km", "Step 4: Calculate detour", " Detour = 23681.3 - 10759.5 = 12921.7 km", " Detour % = (12921.7 / 10759.5) × 100 = 120.1%", "Step 5: Determine if on route (typically < 10% detour)", " 120.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 33.62205, "lon": -84.36909, "name": "Forest Park" }, "end": { "lat": 46.23092, "lon": 15.26044, "name": "Celje" }, "waypoint": { "lat": 4.92675, "lon": 6.26764, "name": "Yenagoa" }, "question": "Is Yenagoa approximately on the direct path from Forest Park to Celje?", "ground_truth": { "answer": false, "direct_distance_km": 8043.0, "via_waypoint_km": 14437.3, "detour_km": 6394.3, "detour_percent": 79.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Forest Park", " End: Celje", " Waypoint: Yenagoa", "Step 2: Calculate direct distance", " Start → End: 8043.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14437.3 km", "Step 4: Calculate detour", " Detour = 14437.3 - 8043.0 = 6394.3 km", " Detour % = (6394.3 / 8043.0) × 100 = 79.5%", "Step 5: Determine if on route (typically < 10% detour)", " 79.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 40.71427, "lon": -74.00597, "name": "New York City" }, "end": { "lat": 31.56517, "lon": -7.66163, "name": "Ait Ourir" }, "waypoint": { "lat": 28.42595, "lon": 108.99594, "name": "Pingkai" }, "question": "Is Pingkai approximately on the direct path from New York City to Ait Ourir?", "ground_truth": { "answer": false, "direct_distance_km": 5903.2, "via_waypoint_km": 22883.4, "detour_km": 16980.2, "detour_percent": 287.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: New York City", " End: Ait Ourir", " Waypoint: Pingkai", "Step 2: Calculate direct distance", " Start → End: 5903.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22883.4 km", "Step 4: Calculate detour", " Detour = 22883.4 - 5903.2 = 16980.2 km", " Detour % = (16980.2 / 5903.2) × 100 = 287.6%", "Step 5: Determine if on route (typically < 10% detour)", " 287.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 21.47831, "lon": -101.21566, "name": "San Felipe" }, "end": { "lat": 34.89469, "lon": 36.49582, "name": "Kafr Lāhā" }, "waypoint": { "lat": 47.96269, "lon": 12.59231, "name": "Traunreut" }, "question": "Is Traunreut approximately on the direct path from San Felipe to Kafr Lāhā?", "ground_truth": { "answer": true, "direct_distance_km": 12320.8, "via_waypoint_km": 12327.0, "detour_km": 6.2, "detour_percent": 0.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: San Felipe", " End: Kafr Lāhā", " Waypoint: Traunreut", "Step 2: Calculate direct distance", " Start → End: 12320.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12327.0 km", "Step 4: Calculate detour", " Detour = 12327.0 - 12320.8 = 6.2 km", " Detour % = (6.2 / 12320.8) × 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": 13.06306, "lon": 80.17194, "name": "Maduraivayal" }, "end": { "lat": 20.18061, "lon": 80.00522, "name": "Garhchiroli" }, "waypoint": { "lat": 43.775, "lon": -88.43883, "name": "Fond du Lac" }, "question": "Is Fond du Lac approximately on the direct path from Maduraivayal to Garhchiroli?", "ground_truth": { "answer": false, "direct_distance_km": 791.6, "via_waypoint_km": 26396.6, "detour_km": 25605.0, "detour_percent": 3234.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Maduraivayal", " End: Garhchiroli", " Waypoint: Fond du Lac", "Step 2: Calculate direct distance", " Start → End: 791.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 26396.6 km", "Step 4: Calculate detour", " Detour = 26396.6 - 791.6 = 25605.0 km", " Detour % = (25605.0 / 791.6) × 100 = 3234.4%", "Step 5: Determine if on route (typically < 10% detour)", " 3234.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 35.0616, "lon": 105.79108, "name": "Lianhua" }, "end": { "lat": 28.43905, "lon": 48.49132, "name": "Al Khafjī" }, "waypoint": { "lat": -14.47389, "lon": -48.45972, "name": "Niquelândia" }, "question": "Is Niquelândia approximately on the direct path from Lianhua to Al Khafjī?", "ground_truth": { "answer": false, "direct_distance_km": 5394.7, "via_waypoint_km": 28005.6, "detour_km": 22610.9, "detour_percent": 419.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Lianhua", " End: Al Khafjī", " Waypoint: Niquelândia", "Step 2: Calculate direct distance", " Start → End: 5394.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 28005.6 km", "Step 4: Calculate detour", " Detour = 28005.6 - 5394.7 = 22610.9 km", " Detour % = (22610.9 / 5394.7) × 100 = 419.1%", "Step 5: Determine if on route (typically < 10% detour)", " 419.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -1.85302, "lon": -65.57426, "name": "Maraã" }, "end": { "lat": 26.46523, "lon": 80.34975, "name": "Kanpur" }, "waypoint": { "lat": 43.18396, "lon": 3.00141, "name": "Narbonne" }, "question": "Is Narbonne approximately on the direct path from Maraã to Kanpur?", "ground_truth": { "answer": true, "direct_distance_km": 15463.9, "via_waypoint_km": 15485.1, "detour_km": 21.2, "detour_percent": 0.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Maraã", " End: Kanpur", " Waypoint: Narbonne", "Step 2: Calculate direct distance", " Start → End: 15463.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15485.1 km", "Step 4: Calculate detour", " Detour = 15485.1 - 15463.9 = 21.2 km", " Detour % = (21.2 / 15463.9) × 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": 41.1145, "lon": -83.17797, "name": "Tiffin" }, "end": { "lat": 38.20007, "lon": -85.82274, "name": "Shively" }, "waypoint": { "lat": 34.31, "lon": -2.16, "name": "Jerada" }, "question": "Is Jerada approximately on the direct path from Tiffin to Shively?", "ground_truth": { "answer": false, "direct_distance_km": 395.3, "via_waypoint_km": 14150.5, "detour_km": 13755.3, "detour_percent": 3479.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Tiffin", " End: Shively", " Waypoint: Jerada", "Step 2: Calculate direct distance", " Start → End: 395.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14150.5 km", "Step 4: Calculate detour", " Detour = 14150.5 - 395.3 = 13755.3 km", " Detour % = (13755.3 / 395.3) × 100 = 3479.9%", "Step 5: Determine if on route (typically < 10% detour)", " 3479.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -10.37812, "lon": 24.54516, "name": "Malemba" }, "end": { "lat": 18.4813, "lon": 96.43742, "name": "Pyu" }, "waypoint": { "lat": 11.24802, "lon": 75.7804, "name": "Kozhikode" }, "question": "Is Kozhikode approximately on the direct path from Malemba to Pyu?", "ground_truth": { "answer": true, "direct_distance_km": 8510.3, "via_waypoint_km": 8510.8, "detour_km": 0.4, "detour_percent": 0.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Malemba", " End: Pyu", " Waypoint: Kozhikode", "Step 2: Calculate direct distance", " Start → End: 8510.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 8510.8 km", "Step 4: Calculate detour", " Detour = 8510.8 - 8510.3 = 0.4 km", " Detour % = (0.4 / 8510.3) × 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": 55.6194, "lon": -4.65508, "name": "Irvine" }, "end": { "lat": 50.23271, "lon": 12.87117, "name": "Karlovy Vary" }, "waypoint": { "lat": 20.14624, "lon": 92.89835, "name": "Sittwe" }, "question": "Is Sittwe approximately on the direct path from Irvine to Karlovy Vary?", "ground_truth": { "answer": false, "direct_distance_km": 1313.7, "via_waypoint_km": 16231.4, "detour_km": 14917.7, "detour_percent": 1135.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Irvine", " End: Karlovy Vary", " Waypoint: Sittwe", "Step 2: Calculate direct distance", " Start → End: 1313.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16231.4 km", "Step 4: Calculate detour", " Detour = 16231.4 - 1313.7 = 14917.7 km", " Detour % = (14917.7 / 1313.7) × 100 = 1135.5%", "Step 5: Determine if on route (typically < 10% detour)", " 1135.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 35.06937, "lon": -1.13706, "name": "Sidi Abdelli" }, "end": { "lat": -14.20361, "lon": -41.66528, "name": "Brumado" }, "waypoint": { "lat": 37.08339, "lon": -88.60005, "name": "Paducah" }, "question": "Is Paducah approximately on the direct path from Sidi Abdelli to Brumado?", "ground_truth": { "answer": false, "direct_distance_km": 6947.2, "via_waypoint_km": 15079.4, "detour_km": 8132.2, "detour_percent": 117.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Sidi Abdelli", " End: Brumado", " Waypoint: Paducah", "Step 2: Calculate direct distance", " Start → End: 6947.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15079.4 km", "Step 4: Calculate detour", " Detour = 15079.4 - 6947.2 = 8132.2 km", " Detour % = (8132.2 / 6947.2) × 100 = 117.1%", "Step 5: Determine if on route (typically < 10% detour)", " 117.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -8.80778, "lon": -39.82556, "name": "Santa Maria da Boa Vista" }, "end": { "lat": -8.36056, "lon": -36.56556, "name": "Sanharó" }, "waypoint": { "lat": 23.40964, "lon": 89.13801, "name": "Kālīganj" }, "question": "Is Kālīganj approximately on the direct path from Santa Maria da Boa Vista to Sanharó?", "ground_truth": { "answer": false, "direct_distance_km": 361.9, "via_waypoint_km": 28368.1, "detour_km": 28006.2, "detour_percent": 7739.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Santa Maria da Boa Vista", " End: Sanharó", " Waypoint: Kālīganj", "Step 2: Calculate direct distance", " Start → End: 361.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 28368.1 km", "Step 4: Calculate detour", " Detour = 28368.1 - 361.9 = 28006.2 km", " Detour % = (28006.2 / 361.9) × 100 = 7739.4%", "Step 5: Determine if on route (typically < 10% detour)", " 7739.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 22.28519, "lon": -97.87777, "name": "Tampico" }, "end": { "lat": -38.07758, "lon": 145.29871, "name": "Cranbourne North" }, "waypoint": { "lat": 14.81389, "lon": 121.04528, "name": "San Jose del Monte" }, "question": "Is San Jose del Monte approximately on the direct path from Tampico to Cranbourne North?", "ground_truth": { "answer": false, "direct_distance_km": 13814.0, "via_waypoint_km": 20501.6, "detour_km": 6687.6, "detour_percent": 48.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Tampico", " End: Cranbourne North", " Waypoint: San Jose del Monte", "Step 2: Calculate direct distance", " Start → End: 13814.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20501.6 km", "Step 4: Calculate detour", " Detour = 20501.6 - 13814.0 = 6687.6 km", " Detour % = (6687.6 / 13814.0) × 100 = 48.4%", "Step 5: Determine if on route (typically < 10% detour)", " 48.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 27.23541, "lon": 78.19829, "name": "Etmadpur" }, "end": { "lat": 1.4726, "lon": 103.878, "name": "Kampung Pasir Gudang Baru" }, "waypoint": { "lat": -7.60111, "lon": 110.81861, "name": "Grogol" }, "question": "Is Grogol approximately on the direct path from Etmadpur to Kampung Pasir Gudang Baru?", "ground_truth": { "answer": false, "direct_distance_km": 3961.7, "via_waypoint_km": 6497.3, "detour_km": 2535.6, "detour_percent": 64.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Etmadpur", " End: Kampung Pasir Gudang Baru", " Waypoint: Grogol", "Step 2: Calculate direct distance", " Start → End: 3961.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 6497.3 km", "Step 4: Calculate detour", " Detour = 6497.3 - 3961.7 = 2535.6 km", " Detour % = (2535.6 / 3961.7) × 100 = 64.0%", "Step 5: Determine if on route (typically < 10% detour)", " 64.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 52.35062, "lon": 71.88161, "name": "Stepnogorsk" }, "end": { "lat": 1.33611, "lon": 103.85, "name": "Toa Payoh New Town" }, "waypoint": { "lat": -29.23611, "lon": -51.86972, "name": "Encantado" }, "question": "Is Encantado approximately on the direct path from Stepnogorsk to Toa Payoh New Town?", "ground_truth": { "answer": false, "direct_distance_km": 6399.7, "via_waypoint_km": 30782.2, "detour_km": 24382.6, "detour_percent": 381.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Stepnogorsk", " End: Toa Payoh New Town", " Waypoint: Encantado", "Step 2: Calculate direct distance", " Start → End: 6399.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 30782.2 km", "Step 4: Calculate detour", " Detour = 30782.2 - 6399.7 = 24382.6 km", " Detour % = (24382.6 / 6399.7) × 100 = 381.0%", "Step 5: Determine if on route (typically < 10% detour)", " 381.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 43.47064, "lon": 11.14804, "name": "Poggibonsi" }, "end": { "lat": 12.30696, "lon": 78.07022, "name": "Pālakkodu" }, "waypoint": { "lat": 8.32611, "lon": -72.08742, "name": "Coloncito" }, "question": "Is Coloncito approximately on the direct path from Poggibonsi to Pālakkodu?", "ground_truth": { "answer": false, "direct_distance_km": 7213.9, "via_waypoint_km": 24824.7, "detour_km": 17610.8, "detour_percent": 244.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Poggibonsi", " End: Pālakkodu", " Waypoint: Coloncito", "Step 2: Calculate direct distance", " Start → End: 7213.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24824.7 km", "Step 4: Calculate detour", " Detour = 24824.7 - 7213.9 = 17610.8 km", " Detour % = (17610.8 / 7213.9) × 100 = 244.1%", "Step 5: Determine if on route (typically < 10% detour)", " 244.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 40.73757, "lon": 13.86003, "name": "Forio" }, "end": { "lat": 50.90861, "lon": 4.67056, "name": "Herent" }, "waypoint": { "lat": -10.74806, "lon": -62.21583, "name": "Ouro Preto do Oeste" }, "question": "Is Ouro Preto do Oeste approximately on the direct path from Forio to Herent?", "ground_truth": { "answer": false, "direct_distance_km": 1334.2, "via_waypoint_km": 19020.8, "detour_km": 17686.6, "detour_percent": 1325.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Forio", " End: Herent", " Waypoint: Ouro Preto do Oeste", "Step 2: Calculate direct distance", " Start → End: 1334.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19020.8 km", "Step 4: Calculate detour", " Detour = 19020.8 - 1334.2 = 17686.6 km", " Detour % = (17686.6 / 1334.2) × 100 = 1325.7%", "Step 5: Determine if on route (typically < 10% detour)", " 1325.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -6.72333, "lon": 146.99611, "name": "Lae" }, "end": { "lat": 49.97078, "lon": 8.05883, "name": "Ingelheim am Rhein" }, "waypoint": { "lat": 10.92655, "lon": 107.24783, "name": "Long Khánh" }, "question": "Is Long Khánh approximately on the direct path from Lae to Ingelheim am Rhein?", "ground_truth": { "answer": true, "direct_distance_km": 13881.4, "via_waypoint_km": 14542.2, "detour_km": 660.8, "detour_percent": 4.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Lae", " End: Ingelheim am Rhein", " Waypoint: Long Khánh", "Step 2: Calculate direct distance", " Start → End: 13881.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14542.2 km", "Step 4: Calculate detour", " Detour = 14542.2 - 13881.4 = 660.8 km", " Detour % = (660.8 / 13881.4) × 100 = 4.8%", "Step 5: Determine if on route (typically < 10% detour)", " 4.8% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 32.88167, "lon": 13.35056, "name": "Tājūrā’" }, "end": { "lat": 45.74906, "lon": 4.84789, "name": "Lyon" }, "waypoint": { "lat": -31.91099, "lon": 152.45387, "name": "Taree" }, "question": "Is Taree approximately on the direct path from Tājūrā’ to Lyon?", "ground_truth": { "answer": false, "direct_distance_km": 1604.7, "via_waypoint_km": 33043.9, "detour_km": 31439.2, "detour_percent": 1959.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Tājūrā’", " End: Lyon", " Waypoint: Taree", "Step 2: Calculate direct distance", " Start → End: 1604.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 33043.9 km", "Step 4: Calculate detour", " Detour = 33043.9 - 1604.7 = 31439.2 km", " Detour % = (31439.2 / 1604.7) × 100 = 1959.2%", "Step 5: Determine if on route (typically < 10% detour)", " 1959.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 50.61669, "lon": 3.16664, "name": "Villeneuve-d'Ascq" }, "end": { "lat": 33.91968, "lon": 8.13352, "name": "Tozeur" }, "waypoint": { "lat": 44.99012, "lon": -123.02621, "name": "Keizer" }, "question": "Is Keizer approximately on the direct path from Villeneuve-d'Ascq to Tozeur?", "ground_truth": { "answer": false, "direct_distance_km": 1900.0, "via_waypoint_km": 18144.7, "detour_km": 16244.7, "detour_percent": 855.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Villeneuve-d'Ascq", " End: Tozeur", " Waypoint: Keizer", "Step 2: Calculate direct distance", " Start → End: 1900.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18144.7 km", "Step 4: Calculate detour", " Detour = 18144.7 - 1900.0 = 16244.7 km", " Detour % = (16244.7 / 1900.0) × 100 = 855.0%", "Step 5: Determine if on route (typically < 10% detour)", " 855.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 51.62202, "lon": -3.45544, "name": "Tonypandy" }, "end": { "lat": 27.18333, "lon": 83.88333, "name": "Khada" }, "waypoint": { "lat": 5.29114, "lon": -6.82023, "name": "Djapadji" }, "question": "Is Djapadji approximately on the direct path from Tonypandy to Khada?", "ground_truth": { "answer": false, "direct_distance_km": 7498.1, "via_waypoint_km": 14969.5, "detour_km": 7471.4, "detour_percent": 99.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Tonypandy", " End: Khada", " Waypoint: Djapadji", "Step 2: Calculate direct distance", " Start → End: 7498.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14969.5 km", "Step 4: Calculate detour", " Detour = 14969.5 - 7498.1 = 7471.4 km", " Detour % = (7471.4 / 7498.1) × 100 = 99.6%", "Step 5: Determine if on route (typically < 10% detour)", " 99.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -0.56333, "lon": 34.93583, "name": "Nyamira" }, "end": { "lat": 40.72927, "lon": -73.98736, "name": "East Village" }, "waypoint": { "lat": 16.75998, "lon": 96.52498, "name": "Thongwa" }, "question": "Is Thongwa approximately on the direct path from Nyamira to East Village?", "ground_truth": { "answer": false, "direct_distance_km": 11631.6, "via_waypoint_km": 20562.2, "detour_km": 8930.6, "detour_percent": 76.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Nyamira", " End: East Village", " Waypoint: Thongwa", "Step 2: Calculate direct distance", " Start → End: 11631.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20562.2 km", "Step 4: Calculate detour", " Detour = 20562.2 - 11631.6 = 8930.6 km", " Detour % = (8930.6 / 11631.6) × 100 = 76.8%", "Step 5: Determine if on route (typically < 10% detour)", " 76.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -25.8725, "lon": -49.49778, "name": "Quitandinha" }, "end": { "lat": -3.52105, "lon": 23.6005, "name": "Lodja" }, "waypoint": { "lat": -17.89, "lon": 31.1475, "name": "Epworth" }, "question": "Is Epworth approximately on the direct path from Quitandinha to Lodja?", "ground_truth": { "answer": false, "direct_distance_km": 8147.0, "via_waypoint_km": 10041.2, "detour_km": 1894.2, "detour_percent": 23.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Quitandinha", " End: Lodja", " Waypoint: Epworth", "Step 2: Calculate direct distance", " Start → End: 8147.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 10041.2 km", "Step 4: Calculate detour", " Detour = 10041.2 - 8147.0 = 1894.2 km", " Detour % = (1894.2 / 8147.0) × 100 = 23.3%", "Step 5: Determine if on route (typically < 10% detour)", " 23.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 9.25025, "lon": 0.78213, "name": "Bassar" }, "end": { "lat": 10.13711, "lon": 76.45696, "name": "Chelamartam" }, "waypoint": { "lat": 35.52336, "lon": 119.51009, "name": "Heshan" }, "question": "Is Heshan approximately on the direct path from Bassar to Chelamartam?", "ground_truth": { "answer": false, "direct_distance_km": 8274.4, "via_waypoint_km": 17076.4, "detour_km": 8802.0, "detour_percent": 106.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Bassar", " End: Chelamartam", " Waypoint: Heshan", "Step 2: Calculate direct distance", " Start → End: 8274.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17076.4 km", "Step 4: Calculate detour", " Detour = 17076.4 - 8274.4 = 8802.0 km", " Detour % = (8802.0 / 8274.4) × 100 = 106.4%", "Step 5: Determine if on route (typically < 10% detour)", " 106.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 50.93463, "lon": 6.97495, "name": "Deutz" }, "end": { "lat": 45.40008, "lon": -73.58248, "name": "Sainte-Catherine" }, "waypoint": { "lat": 40.19475, "lon": -92.58325, "name": "Kirksville" }, "question": "Is Kirksville approximately on the direct path from Deutz to Sainte-Catherine?", "ground_truth": { "answer": false, "direct_distance_km": 5702.7, "via_waypoint_km": 8887.8, "detour_km": 3185.1, "detour_percent": 55.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Deutz", " End: Sainte-Catherine", " Waypoint: Kirksville", "Step 2: Calculate direct distance", " Start → End: 5702.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 8887.8 km", "Step 4: Calculate detour", " Detour = 8887.8 - 5702.7 = 3185.1 km", " Detour % = (3185.1 / 5702.7) × 100 = 55.9%", "Step 5: Determine if on route (typically < 10% detour)", " 55.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -8.89778, "lon": -35.14778, "name": "São José da Coroa Grande" }, "end": { "lat": 37.69278, "lon": 37.86111, "name": "Besni" }, "waypoint": { "lat": 30.40624, "lon": 19.57386, "name": "Al Burayqah" }, "question": "Is Al Burayqah approximately on the direct path from São José da Coroa Grande to Besni?", "ground_truth": { "answer": true, "direct_distance_km": 9152.0, "via_waypoint_km": 9154.3, "detour_km": 2.3, "detour_percent": 0.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: São José da Coroa Grande", " End: Besni", " Waypoint: Al Burayqah", "Step 2: Calculate direct distance", " Start → End: 9152.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 9154.3 km", "Step 4: Calculate detour", " Detour = 9154.3 - 9152.0 = 2.3 km", " Detour % = (2.3 / 9152.0) × 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": 25.24004, "lon": 55.30106, "name": "Al Karama" }, "end": { "lat": 11.65376, "lon": 78.15538, "name": "Salem" }, "waypoint": { "lat": 48.07086, "lon": 1.33783, "name": "Châteaudun" }, "question": "Is Châteaudun approximately on the direct path from Al Karama to Salem?", "ground_truth": { "answer": false, "direct_distance_km": 2837.2, "via_waypoint_km": 13375.2, "detour_km": 10538.0, "detour_percent": 371.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Al Karama", " End: Salem", " Waypoint: Châteaudun", "Step 2: Calculate direct distance", " Start → End: 2837.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13375.2 km", "Step 4: Calculate detour", " Detour = 13375.2 - 2837.2 = 10538.0 km", " Detour % = (10538.0 / 2837.2) × 100 = 371.4%", "Step 5: Determine if on route (typically < 10% detour)", " 371.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 54.99859, "lon": -1.4323, "name": "South Shields" }, "end": { "lat": 40.389, "lon": -3.70682, "name": "Moscardó" }, "waypoint": { "lat": 35.4846, "lon": 51.0829, "name": "Robāţ Karīm" }, "question": "Is Robāţ Karīm approximately on the direct path from South Shields to Moscardó?", "ground_truth": { "answer": false, "direct_distance_km": 1633.2, "via_waypoint_km": 9269.2, "detour_km": 7636.0, "detour_percent": 467.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: South Shields", " End: Moscardó", " Waypoint: Robāţ Karīm", "Step 2: Calculate direct distance", " Start → End: 1633.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 9269.2 km", "Step 4: Calculate detour", " Detour = 9269.2 - 1633.2 = 7636.0 km", " Detour % = (7636.0 / 1633.2) × 100 = 467.6%", "Step 5: Determine if on route (typically < 10% detour)", " 467.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 26.37609, "lon": 127.85908, "name": "Uruma" }, "end": { "lat": 7.0744, "lon": 79.8919, "name": "Ja Ela" }, "waypoint": { "lat": 43.10562, "lon": 131.87353, "name": "Vladivostok" }, "question": "Is Vladivostok approximately on the direct path from Uruma to Ja Ela?", "ground_truth": { "answer": false, "direct_distance_km": 5499.5, "via_waypoint_km": 8341.0, "detour_km": 2841.5, "detour_percent": 51.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Uruma", " End: Ja Ela", " Waypoint: Vladivostok", "Step 2: Calculate direct distance", " Start → End: 5499.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 8341.0 km", "Step 4: Calculate detour", " Detour = 8341.0 - 5499.5 = 2841.5 km", " Detour % = (2841.5 / 5499.5) × 100 = 51.7%", "Step 5: Determine if on route (typically < 10% detour)", " 51.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 19.21778, "lon": -98.98806, "name": "San Antonio Tecómitl" }, "end": { "lat": -1.36696, "lon": 38.01055, "name": "Kitui" }, "waypoint": { "lat": 5.15705, "lon": 10.1771, "name": "Bafang" }, "question": "Is Bafang approximately on the direct path from San Antonio Tecómitl to Kitui?", "ground_truth": { "answer": true, "direct_distance_km": 14931.9, "via_waypoint_km": 14985.5, "detour_km": 53.6, "detour_percent": 0.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: San Antonio Tecómitl", " End: Kitui", " Waypoint: Bafang", "Step 2: Calculate direct distance", " Start → End: 14931.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14985.5 km", "Step 4: Calculate detour", " Detour = 14985.5 - 14931.9 = 53.6 km", " Detour % = (53.6 / 14931.9) × 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": 53.32498, "lon": -3.83148, "name": "Llandudno" }, "end": { "lat": -37.56622, "lon": 143.84957, "name": "Ballarat" }, "waypoint": { "lat": 5.78377, "lon": -6.59388, "name": "Soubré" }, "question": "Is Soubré approximately on the direct path from Llandudno to Ballarat?", "ground_truth": { "answer": false, "direct_distance_km": 16985.8, "via_waypoint_km": 20678.2, "detour_km": 3692.4, "detour_percent": 21.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Llandudno", " End: Ballarat", " Waypoint: Soubré", "Step 2: Calculate direct distance", " Start → End: 16985.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20678.2 km", "Step 4: Calculate detour", " Detour = 20678.2 - 16985.8 = 3692.4 km", " Detour % = (3692.4 / 16985.8) × 100 = 21.7%", "Step 5: Determine if on route (typically < 10% detour)", " 21.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 27.64148, "lon": 30.85012, "name": "Dayr Mawās" }, "end": { "lat": 11.85586, "lon": 75.47362, "name": "Irivēri" }, "waypoint": { "lat": 33.64456, "lon": 75.01923, "name": "Kulgam" }, "question": "Is Kulgam approximately on the direct path from Dayr Mawās to Irivēri?", "ground_truth": { "answer": false, "direct_distance_km": 4956.2, "via_waypoint_km": 6669.2, "detour_km": 1713.0, "detour_percent": 34.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Dayr Mawās", " End: Irivēri", " Waypoint: Kulgam", "Step 2: Calculate direct distance", " Start → End: 4956.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 6669.2 km", "Step 4: Calculate detour", " Detour = 6669.2 - 4956.2 = 1713.0 km", " Detour % = (1713.0 / 4956.2) × 100 = 34.6%", "Step 5: Determine if on route (typically < 10% detour)", " 34.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 49.52579, "lon": -96.68451, "name": "Steinbach" }, "end": { "lat": 14.2, "lon": 24.66667, "name": "Kutum" }, "waypoint": { "lat": -9.53222, "lon": -36.985, "name": "Major Isidoro" }, "question": "Is Major Isidoro approximately on the direct path from Steinbach to Kutum?", "ground_truth": { "answer": false, "direct_distance_km": 10907.5, "via_waypoint_km": 16036.9, "detour_km": 5129.4, "detour_percent": 47.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Steinbach", " End: Kutum", " Waypoint: Major Isidoro", "Step 2: Calculate direct distance", " Start → End: 10907.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16036.9 km", "Step 4: Calculate detour", " Detour = 16036.9 - 10907.5 = 5129.4 km", " Detour % = (5129.4 / 10907.5) × 100 = 47.0%", "Step 5: Determine if on route (typically < 10% detour)", " 47.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 22.89396, "lon": 88.41521, "name": "Naihāti" }, "end": { "lat": 39.28333, "lon": 141.11667, "name": "Kitakami" }, "waypoint": { "lat": 11.14805, "lon": 78.59911, "name": "Thuraiyur" }, "question": "Is Thuraiyur approximately on the direct path from Naihāti to Kitakami?", "ground_truth": { "answer": false, "direct_distance_km": 5257.4, "via_waypoint_km": 8539.9, "detour_km": 3282.4, "detour_percent": 62.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Naihāti", " End: Kitakami", " Waypoint: Thuraiyur", "Step 2: Calculate direct distance", " Start → End: 5257.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 8539.9 km", "Step 4: Calculate detour", " Detour = 8539.9 - 5257.4 = 3282.4 km", " Detour % = (3282.4 / 5257.4) × 100 = 62.4%", "Step 5: Determine if on route (typically < 10% detour)", " 62.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 54.4858, "lon": 9.05239, "name": "Husum" }, "end": { "lat": 52.02694, "lon": -0.49567, "name": "Ampthill" }, "waypoint": { "lat": -33.88834, "lon": 151.12274, "name": "Ashfield" }, "question": "Is Ashfield approximately on the direct path from Husum to Ampthill?", "ground_truth": { "answer": false, "direct_distance_km": 690.8, "via_waypoint_km": 33277.4, "detour_km": 32586.6, "detour_percent": 4717.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Husum", " End: Ampthill", " Waypoint: Ashfield", "Step 2: Calculate direct distance", " Start → End: 690.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 33277.4 km", "Step 4: Calculate detour", " Detour = 33277.4 - 690.8 = 32586.6 km", " Detour % = (32586.6 / 690.8) × 100 = 4717.4%", "Step 5: Determine if on route (typically < 10% detour)", " 4717.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 26.12242, "lon": 32.46749, "name": "Dishnā" }, "end": { "lat": -33.78269, "lon": 151.04888, "name": "Carlingford" }, "waypoint": { "lat": 56.80239, "lon": 59.93774, "name": "Revda" }, "question": "Is Revda approximately on the direct path from Dishnā to Carlingford?", "ground_truth": { "answer": false, "direct_distance_km": 14121.9, "via_waypoint_km": 17205.2, "detour_km": 3083.3, "detour_percent": 21.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Dishnā", " End: Carlingford", " Waypoint: Revda", "Step 2: Calculate direct distance", " Start → End: 14121.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17205.2 km", "Step 4: Calculate detour", " Detour = 17205.2 - 14121.9 = 3083.3 km", " Detour % = (3083.3 / 14121.9) × 100 = 21.8%", "Step 5: Determine if on route (typically < 10% detour)", " 21.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 42.37649, "lon": -71.23561, "name": "Waltham" }, "end": { "lat": 49.63539, "lon": 72.86523, "name": "Abay" }, "waypoint": { "lat": -1.24627, "lon": 36.66291, "name": "Kikuyu" }, "question": "Is Kikuyu approximately on the direct path from Waltham to Abay?", "ground_truth": { "answer": false, "direct_distance_km": 9202.7, "via_waypoint_km": 18190.5, "detour_km": 8987.8, "detour_percent": 97.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Waltham", " End: Abay", " Waypoint: Kikuyu", "Step 2: Calculate direct distance", " Start → End: 9202.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18190.5 km", "Step 4: Calculate detour", " Detour = 18190.5 - 9202.7 = 8987.8 km", " Detour % = (8987.8 / 9202.7) × 100 = 97.7%", "Step 5: Determine if on route (typically < 10% detour)", " 97.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 27.18333, "lon": 78.01667, "name": "Agra" }, "end": { "lat": -28.20861, "lon": -51.52583, "name": "Lagoa Vermelha" }, "waypoint": { "lat": -19.27444, "lon": -44.40417, "name": "Paraopeba" }, "question": "Is Paraopeba approximately on the direct path from Agra to Lagoa Vermelha?", "ground_truth": { "answer": true, "direct_distance_km": 15082.9, "via_waypoint_km": 15344.2, "detour_km": 261.3, "detour_percent": 1.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Agra", " End: Lagoa Vermelha", " Waypoint: Paraopeba", "Step 2: Calculate direct distance", " Start → End: 15082.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15344.2 km", "Step 4: Calculate detour", " Detour = 15344.2 - 15082.9 = 261.3 km", " Detour % = (261.3 / 15082.9) × 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": 32.76272, "lon": 21.75506, "name": "Al Bayḑā’" }, "end": { "lat": 0.08928, "lon": 29.30858, "name": "Katwa" }, "waypoint": { "lat": 43.63552, "lon": -79.50113, "name": "Stonegate-Queensway" }, "question": "Is Stonegate-Queensway approximately on the direct path from Al Bayḑā’ to Katwa?", "ground_truth": { "answer": false, "direct_distance_km": 3718.4, "via_waypoint_km": 19868.2, "detour_km": 16149.8, "detour_percent": 434.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Al Bayḑā’", " End: Katwa", " Waypoint: Stonegate-Queensway", "Step 2: Calculate direct distance", " Start → End: 3718.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19868.2 km", "Step 4: Calculate detour", " Detour = 19868.2 - 3718.4 = 16149.8 km", " Detour % = (16149.8 / 3718.4) × 100 = 434.3%", "Step 5: Determine if on route (typically < 10% detour)", " 434.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 55.89692, "lon": 52.31119, "name": "Mendeleyevsk" }, "end": { "lat": -32.05251, "lon": 115.88782, "name": "Willetton" }, "waypoint": { "lat": 18.6057, "lon": 84.23546, "name": "Tekkali" }, "question": "Is Tekkali approximately on the direct path from Mendeleyevsk to Willetton?", "ground_truth": { "answer": true, "direct_distance_km": 11472.8, "via_waypoint_km": 11495.3, "detour_km": 22.5, "detour_percent": 0.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Mendeleyevsk", " End: Willetton", " Waypoint: Tekkali", "Step 2: Calculate direct distance", " Start → End: 11472.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 11495.3 km", "Step 4: Calculate detour", " Detour = 11495.3 - 11472.8 = 22.5 km", " Detour % = (22.5 / 11472.8) × 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": -20.15, "lon": 28.58333, "name": "Bulawayo" }, "end": { "lat": 8.27515, "lon": -76.37641, "name": "San Pedro de Urabá" }, "waypoint": { "lat": 48.85, "lon": 2.6, "name": "Champs-sur-Marne" }, "question": "Is Champs-sur-Marne approximately on the direct path from Bulawayo to San Pedro de Urabá?", "ground_truth": { "answer": false, "direct_distance_km": 11878.1, "via_waypoint_km": 16603.6, "detour_km": 4725.5, "detour_percent": 39.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Bulawayo", " End: San Pedro de Urabá", " Waypoint: Champs-sur-Marne", "Step 2: Calculate direct distance", " Start → End: 11878.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16603.6 km", "Step 4: Calculate detour", " Detour = 16603.6 - 11878.1 = 4725.5 km", " Detour % = (4725.5 / 11878.1) × 100 = 39.8%", "Step 5: Determine if on route (typically < 10% detour)", " 39.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 38.55061, "lon": -90.33317, "name": "Affton" }, "end": { "lat": 38.81195, "lon": -94.5319, "name": "Belton" }, "waypoint": { "lat": -23.49337, "lon": -46.74761, "name": "Sao Domingos" }, "question": "Is Sao Domingos approximately on the direct path from Affton to Belton?", "ground_truth": { "answer": false, "direct_distance_km": 365.6, "via_waypoint_km": 16785.5, "detour_km": 16419.9, "detour_percent": 4491.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Affton", " End: Belton", " Waypoint: Sao Domingos", "Step 2: Calculate direct distance", " Start → End: 365.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16785.5 km", "Step 4: Calculate detour", " Detour = 16785.5 - 365.6 = 16419.9 km", " Detour % = (16419.9 / 365.6) × 100 = 4491.4%", "Step 5: Determine if on route (typically < 10% detour)", " 4491.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -12.54667, "lon": -38.71194, "name": "Santo Amaro" }, "end": { "lat": -23.21472, "lon": -47.52389, "name": "Porto Feliz" }, "waypoint": { "lat": 40.75243, "lon": 120.83552, "name": "Huludao" }, "question": "Is Huludao approximately on the direct path from Santo Amaro to Porto Feliz?", "ground_truth": { "answer": false, "direct_distance_km": 1507.7, "via_waypoint_km": 34080.8, "detour_km": 32573.1, "detour_percent": 2160.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Santo Amaro", " End: Porto Feliz", " Waypoint: Huludao", "Step 2: Calculate direct distance", " Start → End: 1507.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 34080.8 km", "Step 4: Calculate detour", " Detour = 34080.8 - 1507.7 = 32573.1 km", " Detour % = (32573.1 / 1507.7) × 100 = 2160.4%", "Step 5: Determine if on route (typically < 10% detour)", " 2160.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 41.92884, "lon": 12.56582, "name": "Casal de' Pazzi" }, "end": { "lat": -33.79176, "lon": 151.08057, "name": "Eastwood" }, "waypoint": { "lat": 37.63049, "lon": -122.41108, "name": "San Bruno" }, "question": "Is San Bruno approximately on the direct path from Casal de' Pazzi to Eastwood?", "ground_truth": { "answer": false, "direct_distance_km": 16300.8, "via_waypoint_km": 22006.9, "detour_km": 5706.1, "detour_percent": 35.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Casal de' Pazzi", " End: Eastwood", " Waypoint: San Bruno", "Step 2: Calculate direct distance", " Start → End: 16300.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22006.9 km", "Step 4: Calculate detour", " Detour = 22006.9 - 16300.8 = 5706.1 km", " Detour % = (5706.1 / 16300.8) × 100 = 35.0%", "Step 5: Determine if on route (typically < 10% detour)", " 35.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 26.86396, "lon": 82.14103, "name": "Nawābganj" }, "end": { "lat": -33.91938, "lon": 150.92588, "name": "Liverpool" }, "waypoint": { "lat": 1.23889, "lon": 35.11194, "name": "Kapenguria" }, "question": "Is Kapenguria approximately on the direct path from Nawābganj to Liverpool?", "ground_truth": { "answer": false, "direct_distance_km": 9907.4, "via_waypoint_km": 18210.7, "detour_km": 8303.4, "detour_percent": 83.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Nawābganj", " End: Liverpool", " Waypoint: Kapenguria", "Step 2: Calculate direct distance", " Start → End: 9907.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18210.7 km", "Step 4: Calculate detour", " Detour = 18210.7 - 9907.4 = 8303.4 km", " Detour % = (8303.4 / 9907.4) × 100 = 83.8%", "Step 5: Determine if on route (typically < 10% detour)", " 83.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 10.3258, "lon": -72.31343, "name": "La Villa del Rosario" }, "end": { "lat": 41.8944, "lon": 140.69386, "name": "Honchō" }, "waypoint": { "lat": 52.22977, "lon": 21.01178, "name": "Warsaw" }, "question": "Is Warsaw approximately on the direct path from La Villa del Rosario to Honchō?", "ground_truth": { "answer": false, "direct_distance_km": 13302.5, "via_waypoint_km": 17378.7, "detour_km": 4076.2, "detour_percent": 30.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: La Villa del Rosario", " End: Honchō", " Waypoint: Warsaw", "Step 2: Calculate direct distance", " Start → End: 13302.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17378.7 km", "Step 4: Calculate detour", " Detour = 17378.7 - 13302.5 = 4076.2 km", " Detour % = (4076.2 / 13302.5) × 100 = 30.6%", "Step 5: Determine if on route (typically < 10% detour)", " 30.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 43.80406, "lon": -79.16571, "name": "Rouge" }, "end": { "lat": 26.65, "lon": 107.78333, "name": "Lushan" }, "waypoint": { "lat": 11.58901, "lon": 43.14503, "name": "Djibouti" }, "question": "Is Djibouti approximately on the direct path from Rouge to Lushan?", "ground_truth": { "answer": false, "direct_distance_km": 12148.9, "via_waypoint_km": 18469.4, "detour_km": 6320.5, "detour_percent": 52.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Rouge", " End: Lushan", " Waypoint: Djibouti", "Step 2: Calculate direct distance", " Start → End: 12148.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18469.4 km", "Step 4: Calculate detour", " Detour = 18469.4 - 12148.9 = 6320.5 km", " Detour % = (6320.5 / 12148.9) × 100 = 52.0%", "Step 5: Determine if on route (typically < 10% detour)", " 52.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 43.43325, "lon": 6.73555, "name": "Fréjus" }, "end": { "lat": 50.06732, "lon": 14.46026, "name": "Vršovice" }, "waypoint": { "lat": -27.25204, "lon": 152.99226, "name": "Kallangur" }, "question": "Is Kallangur approximately on the direct path from Fréjus to Vršovice?", "ground_truth": { "answer": false, "direct_distance_km": 942.6, "via_waypoint_km": 32194.5, "detour_km": 31251.9, "detour_percent": 3315.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Fréjus", " End: Vršovice", " Waypoint: Kallangur", "Step 2: Calculate direct distance", " Start → End: 942.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 32194.5 km", "Step 4: Calculate detour", " Detour = 32194.5 - 942.6 = 31251.9 km", " Detour % = (31251.9 / 942.6) × 100 = 3315.4%", "Step 5: Determine if on route (typically < 10% detour)", " 3315.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -21.26111, "lon": -48.49639, "name": "Monte Alto" }, "end": { "lat": 38.62139, "lon": 21.40778, "name": "Agrínio" }, "waypoint": { "lat": 20.85865, "lon": 72.90648, "name": "Abrama" }, "question": "Is Abrama approximately on the direct path from Monte Alto to Agrínio?", "ground_truth": { "answer": false, "direct_distance_km": 9855.7, "via_waypoint_km": 19243.8, "detour_km": 9388.1, "detour_percent": 95.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Monte Alto", " End: Agrínio", " Waypoint: Abrama", "Step 2: Calculate direct distance", " Start → End: 9855.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19243.8 km", "Step 4: Calculate detour", " Detour = 19243.8 - 9855.7 = 9388.1 km", " Detour % = (9388.1 / 9855.7) × 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": -5.90181, "lon": -76.12234, "name": "Yurimaguas" }, "end": { "lat": -36.99282, "lon": 174.87986, "name": "Manukau City" }, "waypoint": { "lat": 47.7742, "lon": 7.35175, "name": "Illzach" }, "question": "Is Illzach approximately on the direct path from Yurimaguas to Manukau City?", "ground_truth": { "answer": false, "direct_distance_km": 11269.3, "via_waypoint_km": 28450.9, "detour_km": 17181.5, "detour_percent": 152.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Yurimaguas", " End: Manukau City", " Waypoint: Illzach", "Step 2: Calculate direct distance", " Start → End: 11269.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 28450.9 km", "Step 4: Calculate detour", " Detour = 28450.9 - 11269.3 = 17181.5 km", " Detour % = (17181.5 / 11269.3) × 100 = 152.5%", "Step 5: Determine if on route (typically < 10% detour)", " 152.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -27.20338, "lon": 152.95923, "name": "Narangba" }, "end": { "lat": 35.15565, "lon": -89.7762, "name": "Cordova" }, "waypoint": { "lat": 45.19365, "lon": 11.30227, "name": "Legnago" }, "question": "Is Legnago approximately on the direct path from Narangba to Cordova?", "ground_truth": { "answer": false, "direct_distance_km": 14078.2, "via_waypoint_km": 24168.5, "detour_km": 10090.3, "detour_percent": 71.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Narangba", " End: Cordova", " Waypoint: Legnago", "Step 2: Calculate direct distance", " Start → End: 14078.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24168.5 km", "Step 4: Calculate detour", " Detour = 24168.5 - 14078.2 = 10090.3 km", " Detour % = (10090.3 / 14078.2) × 100 = 71.7%", "Step 5: Determine if on route (typically < 10% detour)", " 71.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -7.11389, "lon": -34.97806, "name": "Santa Rita" }, "end": { "lat": -20.44806, "lon": -52.87806, "name": "Água Clara" }, "waypoint": { "lat": -14.98293, "lon": 27.0619, "name": "Mumbwa" }, "question": "Is Mumbwa approximately on the direct path from Santa Rita to Água Clara?", "ground_truth": { "answer": false, "direct_distance_km": 2431.8, "via_waypoint_km": 15215.4, "detour_km": 12783.6, "detour_percent": 525.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Santa Rita", " End: Água Clara", " Waypoint: Mumbwa", "Step 2: Calculate direct distance", " Start → End: 2431.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15215.4 km", "Step 4: Calculate detour", " Detour = 15215.4 - 2431.8 = 12783.6 km", " Detour % = (12783.6 / 2431.8) × 100 = 525.7%", "Step 5: Determine if on route (typically < 10% detour)", " 525.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 17.89241, "lon": 75.02138, "name": "Aklūj" }, "end": { "lat": -6.9, "lon": 109.08333, "name": "Dukuhturi" }, "waypoint": { "lat": -14.50333, "lon": -42.22222, "name": "Caculé" }, "question": "Is Caculé approximately on the direct path from Aklūj to Dukuhturi?", "ground_truth": { "answer": false, "direct_distance_km": 4645.4, "via_waypoint_km": 29389.3, "detour_km": 24743.9, "detour_percent": 532.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Aklūj", " End: Dukuhturi", " Waypoint: Caculé", "Step 2: Calculate direct distance", " Start → End: 4645.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 29389.3 km", "Step 4: Calculate detour", " Detour = 29389.3 - 4645.4 = 24743.9 km", " Detour % = (24743.9 / 4645.4) × 100 = 532.7%", "Step 5: Determine if on route (typically < 10% detour)", " 532.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 28.07168, "lon": -80.65339, "name": "West Melbourne" }, "end": { "lat": 22.30933, "lon": 114.23634, "name": "Lam Tin" }, "waypoint": { "lat": -19.43333, "lon": 46.75, "name": "Miandrarivo" }, "question": "Is Miandrarivo approximately on the direct path from West Melbourne to Lam Tin?", "ground_truth": { "answer": false, "direct_distance_km": 14189.5, "via_waypoint_km": 23291.0, "detour_km": 9101.5, "detour_percent": 64.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: West Melbourne", " End: Lam Tin", " Waypoint: Miandrarivo", "Step 2: Calculate direct distance", " Start → End: 14189.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23291.0 km", "Step 4: Calculate detour", " Detour = 23291.0 - 14189.5 = 9101.5 km", " Detour % = (9101.5 / 14189.5) × 100 = 64.1%", "Step 5: Determine if on route (typically < 10% detour)", " 64.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 8.4859, "lon": 123.8048, "name": "Oroquieta" }, "end": { "lat": -28.33057, "lon": 28.99087, "name": "Tshiame" }, "waypoint": { "lat": 9.53724, "lon": -68.63022, "name": "Las Vegas" }, "question": "Is Las Vegas approximately on the direct path from Oroquieta to Tshiame?", "ground_truth": { "answer": false, "direct_distance_km": 10922.3, "via_waypoint_km": 28833.4, "detour_km": 17911.1, "detour_percent": 164.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Oroquieta", " End: Tshiame", " Waypoint: Las Vegas", "Step 2: Calculate direct distance", " Start → End: 10922.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 28833.4 km", "Step 4: Calculate detour", " Detour = 28833.4 - 10922.3 = 17911.1 km", " Detour % = (17911.1 / 10922.3) × 100 = 164.0%", "Step 5: Determine if on route (typically < 10% detour)", " 164.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -20.68472, "lon": -43.30028, "name": "Piranga" }, "end": { "lat": 9.74569, "lon": -63.18323, "name": "Maturín" }, "waypoint": { "lat": 41.63065, "lon": 15.91876, "name": "Manfredonia" }, "question": "Is Manfredonia approximately on the direct path from Piranga to Maturín?", "ground_truth": { "answer": false, "direct_distance_km": 4021.8, "via_waypoint_km": 17607.0, "detour_km": 13585.2, "detour_percent": 337.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Piranga", " End: Maturín", " Waypoint: Manfredonia", "Step 2: Calculate direct distance", " Start → End: 4021.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17607.0 km", "Step 4: Calculate detour", " Detour = 17607.0 - 4021.8 = 13585.2 km", " Detour % = (13585.2 / 4021.8) × 100 = 337.8%", "Step 5: Determine if on route (typically < 10% detour)", " 337.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -28.77897, "lon": 114.61459, "name": "Geraldton" }, "end": { "lat": 34.95828, "lon": 137.08054, "name": "Anjō" }, "waypoint": { "lat": 36.65038, "lon": 10.59004, "name": "Beni Khalled" }, "question": "Is Beni Khalled approximately on the direct path from Geraldton to Anjō?", "ground_truth": { "answer": false, "direct_distance_km": 7469.1, "via_waypoint_km": 23356.9, "detour_km": 15887.7, "detour_percent": 212.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Geraldton", " End: Anjō", " Waypoint: Beni Khalled", "Step 2: Calculate direct distance", " Start → End: 7469.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23356.9 km", "Step 4: Calculate detour", " Detour = 23356.9 - 7469.1 = 15887.7 km", " Detour % = (15887.7 / 7469.1) × 100 = 212.7%", "Step 5: Determine if on route (typically < 10% detour)", " 212.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 25.4587, "lon": -108.07732, "name": "Guamúchil" }, "end": { "lat": 33.78942, "lon": -7.15968, "name": "Bouznika" }, "waypoint": { "lat": 35.01667, "lon": 136.66667, "name": "Toyoda" }, "question": "Is Toyoda approximately on the direct path from Guamúchil to Bouznika?", "ground_truth": { "answer": false, "direct_distance_km": 9389.0, "via_waypoint_km": 21934.7, "detour_km": 12545.7, "detour_percent": 133.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Guamúchil", " End: Bouznika", " Waypoint: Toyoda", "Step 2: Calculate direct distance", " Start → End: 9389.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21934.7 km", "Step 4: Calculate detour", " Detour = 21934.7 - 9389.0 = 12545.7 km", " Detour % = (12545.7 / 9389.0) × 100 = 133.6%", "Step 5: Determine if on route (typically < 10% detour)", " 133.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 12.76889, "lon": 37.62389, "name": "Amba Giorgis" }, "end": { "lat": 24.46861, "lon": 39.61417, "name": "Madinah" }, "waypoint": { "lat": 45.39595, "lon": 11.27352, "name": "San Bonifacio" }, "question": "Is San Bonifacio approximately on the direct path from Amba Giorgis to Madinah?", "ground_truth": { "answer": false, "direct_distance_km": 1317.7, "via_waypoint_km": 7841.9, "detour_km": 6524.2, "detour_percent": 495.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Amba Giorgis", " End: Madinah", " Waypoint: San Bonifacio", "Step 2: Calculate direct distance", " Start → End: 1317.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 7841.9 km", "Step 4: Calculate detour", " Detour = 7841.9 - 1317.7 = 6524.2 km", " Detour % = (6524.2 / 1317.7) × 100 = 495.1%", "Step 5: Determine if on route (typically < 10% detour)", " 495.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 47.43333, "lon": 19.11667, "name": "Pesterzsébet" }, "end": { "lat": 5.65003, "lon": -0.2361, "name": "Dome" }, "waypoint": { "lat": -19.67722, "lon": -51.19083, "name": "Paranaíba" }, "question": "Is Paranaíba approximately on the direct path from Pesterzsébet to Dome?", "ground_truth": { "answer": false, "direct_distance_km": 4999.0, "via_waypoint_km": 16463.0, "detour_km": 11464.0, "detour_percent": 229.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Pesterzsébet", " End: Dome", " Waypoint: Paranaíba", "Step 2: Calculate direct distance", " Start → End: 4999.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16463.0 km", "Step 4: Calculate detour", " Detour = 16463.0 - 4999.0 = 11464.0 km", " Detour % = (11464.0 / 4999.0) × 100 = 229.3%", "Step 5: Determine if on route (typically < 10% detour)", " 229.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 51.15, "lon": 7.0, "name": "Ohligs" }, "end": { "lat": 35.91667, "lon": 140.11667, "name": "Fujishiro" }, "waypoint": { "lat": 16.96036, "lon": 82.23809, "name": "Kākināda" }, "question": "Is Kākināda approximately on the direct path from Ohligs to Fujishiro?", "ground_truth": { "answer": false, "direct_distance_km": 9307.7, "via_waypoint_km": 13565.8, "detour_km": 4258.0, "detour_percent": 45.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ohligs", " End: Fujishiro", " Waypoint: Kākināda", "Step 2: Calculate direct distance", " Start → End: 9307.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13565.8 km", "Step 4: Calculate detour", " Detour = 13565.8 - 9307.7 = 4258.0 km", " Detour % = (4258.0 / 9307.7) × 100 = 45.7%", "Step 5: Determine if on route (typically < 10% detour)", " 45.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 44.63604, "lon": 40.7357, "name": "Labinsk" }, "end": { "lat": 47.65105, "lon": 7.82089, "name": "Schopfheim" }, "waypoint": { "lat": -32.85704, "lon": -61.15114, "name": "Carcarañá" }, "question": "Is Carcarañá approximately on the direct path from Labinsk to Schopfheim?", "ground_truth": { "answer": false, "direct_distance_km": 2538.4, "via_waypoint_km": 24652.1, "detour_km": 22113.6, "detour_percent": 871.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Labinsk", " End: Schopfheim", " Waypoint: Carcarañá", "Step 2: Calculate direct distance", " Start → End: 2538.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24652.1 km", "Step 4: Calculate detour", " Detour = 24652.1 - 2538.4 = 22113.6 km", " Detour % = (22113.6 / 2538.4) × 100 = 871.2%", "Step 5: Determine if on route (typically < 10% detour)", " 871.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -28.06806, "lon": -52.01389, "name": "Tapejara" }, "end": { "lat": -23.71694, "lon": -46.84917, "name": "Itapecerica da Serra" }, "waypoint": { "lat": 41.73212, "lon": 12.27654, "name": "Lido di Ostia" }, "question": "Is Lido di Ostia approximately on the direct path from Tapejara to Itapecerica da Serra?", "ground_truth": { "answer": false, "direct_distance_km": 707.6, "via_waypoint_km": 19662.0, "detour_km": 18954.3, "detour_percent": 2678.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Tapejara", " End: Itapecerica da Serra", " Waypoint: Lido di Ostia", "Step 2: Calculate direct distance", " Start → End: 707.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19662.0 km", "Step 4: Calculate detour", " Detour = 19662.0 - 707.6 = 18954.3 km", " Detour % = (18954.3 / 707.6) × 100 = 2678.5%", "Step 5: Determine if on route (typically < 10% detour)", " 2678.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 37.70215, "lon": -121.93579, "name": "Dublin" }, "end": { "lat": 9.22349, "lon": 17.71018, "name": "Maro" }, "waypoint": { "lat": 13.98333, "lon": -14.56667, "name": "Koumpentoum" }, "question": "Is Koumpentoum approximately on the direct path from Dublin to Maro?", "ground_truth": { "answer": true, "direct_distance_km": 13322.2, "via_waypoint_km": 14079.1, "detour_km": 756.8, "detour_percent": 5.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Dublin", " End: Maro", " Waypoint: Koumpentoum", "Step 2: Calculate direct distance", " Start → End: 13322.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14079.1 km", "Step 4: Calculate detour", " Detour = 14079.1 - 13322.2 = 756.8 km", " Detour % = (756.8 / 13322.2) × 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": 32.96667, "lon": 131.58333, "name": "Mie" }, "end": { "lat": -0.72889, "lon": -47.84806, "name": "Curuçá" }, "waypoint": { "lat": 55.86667, "lon": 37.5, "name": "Novokhovrino" }, "question": "Is Novokhovrino approximately on the direct path from Mie to Curuçá?", "ground_truth": { "answer": true, "direct_distance_km": 16429.9, "via_waypoint_km": 17052.6, "detour_km": 622.6, "detour_percent": 3.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Mie", " End: Curuçá", " Waypoint: Novokhovrino", "Step 2: Calculate direct distance", " Start → End: 16429.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17052.6 km", "Step 4: Calculate detour", " Detour = 17052.6 - 16429.9 = 622.6 km", " Detour % = (622.6 / 16429.9) × 100 = 3.8%", "Step 5: Determine if on route (typically < 10% detour)", " 3.8% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 14.9398, "lon": 33.234, "name": "Al Hilāliyya" }, "end": { "lat": 48.94628, "lon": 38.48624, "name": "Sievierodonetsk" }, "waypoint": { "lat": -17.73648, "lon": 168.31366, "name": "Port-Vila" }, "question": "Is Port-Vila approximately on the direct path from Al Hilāliyya to Sievierodonetsk?", "ground_truth": { "answer": false, "direct_distance_km": 3811.6, "via_waypoint_km": 29575.5, "detour_km": 25763.9, "detour_percent": 675.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Al Hilāliyya", " End: Sievierodonetsk", " Waypoint: Port-Vila", "Step 2: Calculate direct distance", " Start → End: 3811.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 29575.5 km", "Step 4: Calculate detour", " Detour = 29575.5 - 3811.6 = 25763.9 km", " Detour % = (25763.9 / 3811.6) × 100 = 675.9%", "Step 5: Determine if on route (typically < 10% detour)", " 675.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 34.07029, "lon": -117.39588, "name": "Bloomington" }, "end": { "lat": 33.58011, "lon": -85.07661, "name": "Carrollton" }, "waypoint": { "lat": 2.47826, "lon": 31.08893, "name": "Nebbi" }, "question": "Is Nebbi approximately on the direct path from Bloomington to Carrollton?", "ground_truth": { "answer": false, "direct_distance_km": 2973.4, "via_waypoint_km": 27021.6, "detour_km": 24048.2, "detour_percent": 808.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Bloomington", " End: Carrollton", " Waypoint: Nebbi", "Step 2: Calculate direct distance", " Start → End: 2973.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 27021.6 km", "Step 4: Calculate detour", " Detour = 27021.6 - 2973.4 = 24048.2 km", " Detour % = (24048.2 / 2973.4) × 100 = 808.8%", "Step 5: Determine if on route (typically < 10% detour)", " 808.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 36.59917, "lon": -4.53505, "name": "Arroyo de la Miel" }, "end": { "lat": 43.36859, "lon": -1.79622, "name": "Hondarribia" }, "waypoint": { "lat": -26.06927, "lon": 30.11489, "name": "Carolina" }, "question": "Is Carolina approximately on the direct path from Arroyo de la Miel to Hondarribia?", "ground_truth": { "answer": false, "direct_distance_km": 787.9, "via_waypoint_km": 16237.6, "detour_km": 15449.7, "detour_percent": 1960.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Arroyo de la Miel", " End: Hondarribia", " Waypoint: Carolina", "Step 2: Calculate direct distance", " Start → End: 787.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16237.6 km", "Step 4: Calculate detour", " Detour = 16237.6 - 787.9 = 15449.7 km", " Detour % = (15449.7 / 787.9) × 100 = 1960.8%", "Step 5: Determine if on route (typically < 10% detour)", " 1960.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 32.32931, "lon": -96.62527, "name": "Ennis" }, "end": { "lat": 66.65722, "lon": 66.41833, "name": "Labytnangi" }, "waypoint": { "lat": 8.5138, "lon": 77.54944, "name": "Kalakkādu" }, "question": "Is Kalakkādu approximately on the direct path from Ennis to Labytnangi?", "ground_truth": { "answer": false, "direct_distance_km": 8914.3, "via_waypoint_km": 21952.1, "detour_km": 13037.8, "detour_percent": 146.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ennis", " End: Labytnangi", " Waypoint: Kalakkādu", "Step 2: Calculate direct distance", " Start → End: 8914.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21952.1 km", "Step 4: Calculate detour", " Detour = 21952.1 - 8914.3 = 13037.8 km", " Detour % = (13037.8 / 8914.3) × 100 = 146.3%", "Step 5: Determine if on route (typically < 10% detour)", " 146.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 14.78412, "lon": 78.5729, "name": "Gopavaram" }, "end": { "lat": 10.40319, "lon": 5.4708, "name": "Kontagora" }, "waypoint": { "lat": 9.05828, "lon": 13.66605, "name": "Lagdo" }, "question": "Is Lagdo approximately on the direct path from Gopavaram to Kontagora?", "ground_truth": { "answer": true, "direct_distance_km": 7915.5, "via_waypoint_km": 7979.1, "detour_km": 63.6, "detour_percent": 0.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Gopavaram", " End: Kontagora", " Waypoint: Lagdo", "Step 2: Calculate direct distance", " Start → End: 7915.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 7979.1 km", "Step 4: Calculate detour", " Detour = 7979.1 - 7915.5 = 63.6 km", " Detour % = (63.6 / 7915.5) × 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": 35.68972, "lon": 139.71641, "name": "Yotsuya" }, "end": { "lat": 12.57329, "lon": -8.02907, "name": "Kalaban Koro" }, "waypoint": { "lat": 39.64167, "lon": -0.23889, "name": "Grao de Murviedro" }, "question": "Is Grao de Murviedro approximately on the direct path from Yotsuya to Kalaban Koro?", "ground_truth": { "answer": true, "direct_distance_km": 13667.5, "via_waypoint_km": 13793.5, "detour_km": 126.1, "detour_percent": 0.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Yotsuya", " End: Kalaban Koro", " Waypoint: Grao de Murviedro", "Step 2: Calculate direct distance", " Start → End: 13667.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13793.5 km", "Step 4: Calculate detour", " Detour = 13793.5 - 13667.5 = 126.1 km", " Detour % = (126.1 / 13667.5) × 100 = 0.9%", "Step 5: Determine if on route (typically < 10% detour)", " 0.9% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 53.73953, "lon": 78.04387, "name": "Karasuk" }, "end": { "lat": 50.34984, "lon": 18.22606, "name": "Kędzierzyn-Koźle" }, "waypoint": { "lat": -3.33333, "lon": 29.25, "name": "Gatumba" }, "question": "Is Gatumba approximately on the direct path from Karasuk to Kędzierzyn-Koźle?", "ground_truth": { "answer": false, "direct_distance_km": 3986.0, "via_waypoint_km": 13844.9, "detour_km": 9858.9, "detour_percent": 247.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Karasuk", " End: Kędzierzyn-Koźle", " Waypoint: Gatumba", "Step 2: Calculate direct distance", " Start → End: 3986.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13844.9 km", "Step 4: Calculate detour", " Detour = 13844.9 - 3986.0 = 9858.9 km", " Detour % = (9858.9 / 3986.0) × 100 = 247.3%", "Step 5: Determine if on route (typically < 10% detour)", " 247.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 11.12018, "lon": 76.11996, "name": "Manjeri" }, "end": { "lat": 35.01756, "lon": 136.94947, "name": "Ōbu" }, "waypoint": { "lat": 25.77583, "lon": -100.42583, "name": "Mitras Poniente" }, "question": "Is Mitras Poniente approximately on the direct path from Manjeri to Ōbu?", "ground_truth": { "answer": false, "direct_distance_km": 6654.4, "via_waypoint_km": 26849.9, "detour_km": 20195.5, "detour_percent": 303.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Manjeri", " End: Ōbu", " Waypoint: Mitras Poniente", "Step 2: Calculate direct distance", " Start → End: 6654.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 26849.9 km", "Step 4: Calculate detour", " Detour = 26849.9 - 6654.4 = 20195.5 km", " Detour % = (20195.5 / 6654.4) × 100 = 303.5%", "Step 5: Determine if on route (typically < 10% detour)", " 303.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 10.10974, "lon": 105.62318, "name": "Ô Môn" }, "end": { "lat": -11.20605, "lon": 13.84371, "name": "Sumbe" }, "waypoint": { "lat": -11.96944, "lon": -41.26583, "name": "Bonito" }, "question": "Is Bonito approximately on the direct path from Ô Môn to Sumbe?", "ground_truth": { "answer": false, "direct_distance_km": 10416.2, "via_waypoint_km": 22390.9, "detour_km": 11974.7, "detour_percent": 115.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ô Môn", " End: Sumbe", " Waypoint: Bonito", "Step 2: Calculate direct distance", " Start → End: 10416.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22390.9 km", "Step 4: Calculate detour", " Detour = 22390.9 - 10416.2 = 11974.7 km", " Detour % = (11974.7 / 10416.2) × 100 = 115.0%", "Step 5: Determine if on route (typically < 10% detour)", " 115.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 40.8501, "lon": -73.93541, "name": "Washington Heights" }, "end": { "lat": -8.6503, "lon": 116.5318, "name": "Selong" }, "waypoint": { "lat": -38.07018, "lon": 145.47411, "name": "Pakenham" }, "question": "Is Pakenham approximately on the direct path from Washington Heights to Selong?", "ground_truth": { "answer": false, "direct_distance_km": 16288.5, "via_waypoint_km": 21016.2, "detour_km": 4727.7, "detour_percent": 29.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Washington Heights", " End: Selong", " Waypoint: Pakenham", "Step 2: Calculate direct distance", " Start → End: 16288.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21016.2 km", "Step 4: Calculate detour", " Detour = 21016.2 - 16288.5 = 4727.7 km", " Detour % = (4727.7 / 16288.5) × 100 = 29.0%", "Step 5: Determine if on route (typically < 10% detour)", " 29.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -14.21004, "lon": 31.7629, "name": "Sinda" }, "end": { "lat": 11.08313, "lon": 13.69595, "name": "Gwoza" }, "waypoint": { "lat": 4.81367, "lon": -74.35453, "name": "Facatativá" }, "question": "Is Facatativá approximately on the direct path from Sinda to Gwoza?", "ground_truth": { "answer": false, "direct_distance_km": 3446.3, "via_waypoint_km": 21566.5, "detour_km": 18120.2, "detour_percent": 525.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Sinda", " End: Gwoza", " Waypoint: Facatativá", "Step 2: Calculate direct distance", " Start → End: 3446.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21566.5 km", "Step 4: Calculate detour", " Detour = 21566.5 - 3446.3 = 18120.2 km", " Detour % = (18120.2 / 3446.3) × 100 = 525.8%", "Step 5: Determine if on route (typically < 10% detour)", " 525.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 17.89618, "lon": -62.84978, "name": "Gustavia" }, "end": { "lat": 18.54326, "lon": -92.6453, "name": "Frontera" }, "waypoint": { "lat": -10.82294, "lon": -42.72815, "name": "Xique-Xique" }, "question": "Is Xique-Xique approximately on the direct path from Gustavia to Frontera?", "ground_truth": { "answer": false, "direct_distance_km": 3144.3, "via_waypoint_km": 10257.2, "detour_km": 7113.0, "detour_percent": 226.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Gustavia", " End: Frontera", " Waypoint: Xique-Xique", "Step 2: Calculate direct distance", " Start → End: 3144.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 10257.2 km", "Step 4: Calculate detour", " Detour = 10257.2 - 3144.3 = 7113.0 km", " Detour % = (7113.0 / 3144.3) × 100 = 226.2%", "Step 5: Determine if on route (typically < 10% detour)", " 226.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 50.01116, "lon": 14.4096, "name": "Modřany" }, "end": { "lat": 56.25699, "lon": 37.99544, "name": "Khot'kovo" }, "waypoint": { "lat": 48.14446, "lon": 37.30058, "name": "Selydove" }, "question": "Is Selydove approximately on the direct path from Modřany to Khot'kovo?", "ground_truth": { "answer": false, "direct_distance_km": 1708.8, "via_waypoint_km": 2576.8, "detour_km": 868.0, "detour_percent": 50.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Modřany", " End: Khot'kovo", " Waypoint: Selydove", "Step 2: Calculate direct distance", " Start → End: 1708.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 2576.8 km", "Step 4: Calculate detour", " Detour = 2576.8 - 1708.8 = 868.0 km", " Detour % = (868.0 / 1708.8) × 100 = 50.8%", "Step 5: Determine if on route (typically < 10% detour)", " 50.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 29.95673, "lon": 105.75092, "name": "Xinsheng" }, "end": { "lat": 36.62047, "lon": 136.94321, "name": "Tonami" }, "waypoint": { "lat": 53.13333, "lon": 46.58333, "name": "Zarechnyy" }, "question": "Is Zarechnyy approximately on the direct path from Xinsheng to Tonami?", "ground_truth": { "answer": false, "direct_distance_km": 2978.2, "via_waypoint_km": 12224.8, "detour_km": 9246.6, "detour_percent": 310.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Xinsheng", " End: Tonami", " Waypoint: Zarechnyy", "Step 2: Calculate direct distance", " Start → End: 2978.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12224.8 km", "Step 4: Calculate detour", " Detour = 12224.8 - 2978.2 = 9246.6 km", " Detour % = (9246.6 / 2978.2) × 100 = 310.5%", "Step 5: Determine if on route (typically < 10% detour)", " 310.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -33.30422, "lon": 26.53276, "name": "Grahamstown" }, "end": { "lat": -2.27169, "lon": 40.90201, "name": "Lamu" }, "waypoint": { "lat": 33.74002, "lon": -116.93891, "name": "East Hemet" }, "question": "Is East Hemet approximately on the direct path from Grahamstown to Lamu?", "ground_truth": { "answer": false, "direct_distance_km": 3761.1, "via_waypoint_km": 32473.1, "detour_km": 28712.0, "detour_percent": 763.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Grahamstown", " End: Lamu", " Waypoint: East Hemet", "Step 2: Calculate direct distance", " Start → End: 3761.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 32473.1 km", "Step 4: Calculate detour", " Detour = 32473.1 - 3761.1 = 28712.0 km", " Detour % = (28712.0 / 3761.1) × 100 = 763.4%", "Step 5: Determine if on route (typically < 10% detour)", " 763.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -29.12107, "lon": 26.214, "name": "Bloemfontein" }, "end": { "lat": 30.91894, "lon": -6.89341, "name": "Ouarzazate" }, "waypoint": { "lat": 11.85, "lon": 38.01667, "name": "Debre Tabor" }, "question": "Is Debre Tabor approximately on the direct path from Bloemfontein to Ouarzazate?", "ground_truth": { "answer": false, "direct_distance_km": 7539.8, "via_waypoint_km": 9795.0, "detour_km": 2255.1, "detour_percent": 29.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Bloemfontein", " End: Ouarzazate", " Waypoint: Debre Tabor", "Step 2: Calculate direct distance", " Start → End: 7539.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 9795.0 km", "Step 4: Calculate detour", " Detour = 9795.0 - 7539.8 = 2255.1 km", " Detour % = (2255.1 / 7539.8) × 100 = 29.9%", "Step 5: Determine if on route (typically < 10% detour)", " 29.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 52.23064, "lon": 19.36409, "name": "Kutno" }, "end": { "lat": 7.56229, "lon": 6.65497, "name": "Ajaokuta" }, "waypoint": { "lat": 36.07389, "lon": 4.76139, "name": "Bordj Bou Arreridj" }, "question": "Is Bordj Bou Arreridj approximately on the direct path from Kutno to Ajaokuta?", "ground_truth": { "answer": true, "direct_distance_km": 5100.3, "via_waypoint_km": 5308.5, "detour_km": 208.2, "detour_percent": 4.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kutno", " End: Ajaokuta", " Waypoint: Bordj Bou Arreridj", "Step 2: Calculate direct distance", " Start → End: 5100.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 5308.5 km", "Step 4: Calculate detour", " Detour = 5308.5 - 5100.3 = 208.2 km", " Detour % = (208.2 / 5100.3) × 100 = 4.1%", "Step 5: Determine if on route (typically < 10% detour)", " 4.1% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -3.10139, "lon": 30.16278, "name": "Karuzi" }, "end": { "lat": 7.38194, "lon": -6.47778, "name": "Vavoua" }, "waypoint": { "lat": 26.69225, "lon": 67.61431, "name": "Johi" }, "question": "Is Johi approximately on the direct path from Karuzi to Vavoua?", "ground_truth": { "answer": false, "direct_distance_km": 4229.4, "via_waypoint_km": 13271.9, "detour_km": 9042.5, "detour_percent": 213.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Karuzi", " End: Vavoua", " Waypoint: Johi", "Step 2: Calculate direct distance", " Start → End: 4229.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13271.9 km", "Step 4: Calculate detour", " Detour = 13271.9 - 4229.4 = 9042.5 km", " Detour % = (9042.5 / 4229.4) × 100 = 213.8%", "Step 5: Determine if on route (typically < 10% detour)", " 213.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 15.0711, "lon": 120.5423, "name": "Porac" }, "end": { "lat": 32.06779, "lon": 130.62439, "name": "Ōkuchi-shinohara" }, "waypoint": { "lat": 19.43411, "lon": -99.20024, "name": "Miguel Hidalgo" }, "question": "Is Miguel Hidalgo approximately on the direct path from Porac to Ōkuchi-shinohara?", "ground_truth": { "answer": false, "direct_distance_km": 2148.3, "via_waypoint_km": 26427.1, "detour_km": 24278.8, "detour_percent": 1130.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Porac", " End: Ōkuchi-shinohara", " Waypoint: Miguel Hidalgo", "Step 2: Calculate direct distance", " Start → End: 2148.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 26427.1 km", "Step 4: Calculate detour", " Detour = 26427.1 - 2148.3 = 24278.8 km", " Detour % = (24278.8 / 2148.3) × 100 = 1130.2%", "Step 5: Determine if on route (typically < 10% detour)", " 1130.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -28.78301, "lon": 32.03768, "name": "Richards Bay" }, "end": { "lat": 45.38333, "lon": 23.26667, "name": "Vulcan" }, "waypoint": { "lat": 16.44184, "lon": 100.34879, "name": "Phichit" }, "question": "Is Phichit approximately on the direct path from Richards Bay to Vulcan?", "ground_truth": { "answer": false, "direct_distance_km": 8294.5, "via_waypoint_km": 16606.2, "detour_km": 8311.7, "detour_percent": 100.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Richards Bay", " End: Vulcan", " Waypoint: Phichit", "Step 2: Calculate direct distance", " Start → End: 8294.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16606.2 km", "Step 4: Calculate detour", " Detour = 16606.2 - 8294.5 = 8311.7 km", " Detour % = (8311.7 / 8294.5) × 100 = 100.2%", "Step 5: Determine if on route (typically < 10% detour)", " 100.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 51.40571, "lon": 57.58751, "name": "Mednogorsk" }, "end": { "lat": 31.01887, "lon": 75.79111, "name": "Phillaur" }, "waypoint": { "lat": 21.3374, "lon": -158.09676, "name": "Makakilo / Kapolei / Honokai Hale" }, "question": "Is Makakilo / Kapolei / Honokai Hale approximately on the direct path from Mednogorsk to Phillaur?", "ground_truth": { "answer": false, "direct_distance_km": 2714.3, "via_waypoint_km": 23044.9, "detour_km": 20330.5, "detour_percent": 749.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Mednogorsk", " End: Phillaur", " Waypoint: Makakilo / Kapolei / Honokai Hale", "Step 2: Calculate direct distance", " Start → End: 2714.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23044.9 km", "Step 4: Calculate detour", " Detour = 23044.9 - 2714.3 = 20330.5 km", " Detour % = (20330.5 / 2714.3) × 100 = 749.0%", "Step 5: Determine if on route (typically < 10% detour)", " 749.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 22.81899, "lon": 113.67306, "name": "Humen" }, "end": { "lat": 27.28202, "lon": 80.8345, "name": "Sidhaulī" }, "waypoint": { "lat": 30.53353, "lon": -92.08151, "name": "Opelousas" }, "question": "Is Opelousas approximately on the direct path from Humen to Sidhaulī?", "ground_truth": { "answer": false, "direct_distance_km": 3335.4, "via_waypoint_km": 27019.2, "detour_km": 23683.8, "detour_percent": 710.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Humen", " End: Sidhaulī", " Waypoint: Opelousas", "Step 2: Calculate direct distance", " Start → End: 3335.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 27019.2 km", "Step 4: Calculate detour", " Detour = 27019.2 - 3335.4 = 23683.8 km", " Detour % = (23683.8 / 3335.4) × 100 = 710.1%", "Step 5: Determine if on route (typically < 10% detour)", " 710.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 59.63937, "lon": 33.52967, "name": "Tikhvin" }, "end": { "lat": 49.01513, "lon": 12.10161, "name": "Regensburg" }, "waypoint": { "lat": 50.60911, "lon": 10.69401, "name": "Suhl" }, "question": "Is Suhl approximately on the direct path from Tikhvin to Regensburg?", "ground_truth": { "answer": true, "direct_distance_km": 1809.3, "via_waypoint_km": 1955.1, "detour_km": 145.7, "detour_percent": 8.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Tikhvin", " End: Regensburg", " Waypoint: Suhl", "Step 2: Calculate direct distance", " Start → End: 1809.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 1955.1 km", "Step 4: Calculate detour", " Detour = 1955.1 - 1809.3 = 145.7 km", " Detour % = (145.7 / 1809.3) × 100 = 8.1%", "Step 5: Determine if on route (typically < 10% detour)", " 8.1% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 35.11859, "lon": -120.59073, "name": "Arroyo Grande" }, "end": { "lat": 24.19973, "lon": 82.67535, "name": "Singrauli" }, "waypoint": { "lat": 29.28222, "lon": 106.89806, "name": "Shilong" }, "question": "Is Shilong approximately on the direct path from Arroyo Grande to Singrauli?", "ground_truth": { "answer": true, "direct_distance_km": 12978.4, "via_waypoint_km": 13761.1, "detour_km": 782.6, "detour_percent": 6.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Arroyo Grande", " End: Singrauli", " Waypoint: Shilong", "Step 2: Calculate direct distance", " Start → End: 12978.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13761.1 km", "Step 4: Calculate detour", " Detour = 13761.1 - 12978.4 = 782.6 km", " Detour % = (782.6 / 12978.4) × 100 = 6.0%", "Step 5: Determine if on route (typically < 10% detour)", " 6.0% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 53.56685, "lon": -2.88178, "name": "Ormskirk" }, "end": { "lat": 49.06287, "lon": 33.2458, "name": "Svitlovodsk" }, "waypoint": { "lat": -0.56333, "lon": 34.93583, "name": "Nyamira" }, "question": "Is Nyamira approximately on the direct path from Ormskirk to Svitlovodsk?", "ground_truth": { "answer": false, "direct_distance_km": 2531.6, "via_waypoint_km": 12474.1, "detour_km": 9942.5, "detour_percent": 392.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ormskirk", " End: Svitlovodsk", " Waypoint: Nyamira", "Step 2: Calculate direct distance", " Start → End: 2531.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12474.1 km", "Step 4: Calculate detour", " Detour = 12474.1 - 2531.6 = 9942.5 km", " Detour % = (9942.5 / 2531.6) × 100 = 392.7%", "Step 5: Determine if on route (typically < 10% detour)", " 392.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 22.80979, "lon": 89.56439, "name": "Khulna" }, "end": { "lat": 36.22245, "lon": 139.38205, "name": "Menuma" }, "waypoint": { "lat": 11.66361, "lon": -1.07306, "name": "Manga" }, "question": "Is Manga approximately on the direct path from Khulna to Menuma?", "ground_truth": { "answer": false, "direct_distance_km": 4987.6, "via_waypoint_km": 22840.3, "detour_km": 17852.7, "detour_percent": 357.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Khulna", " End: Menuma", " Waypoint: Manga", "Step 2: Calculate direct distance", " Start → End: 4987.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22840.3 km", "Step 4: Calculate detour", " Detour = 22840.3 - 4987.6 = 17852.7 km", " Detour % = (17852.7 / 4987.6) × 100 = 357.9%", "Step 5: Determine if on route (typically < 10% detour)", " 357.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 15.23008, "lon": -87.96386, "name": "Potrerillos" }, "end": { "lat": 40.2969, "lon": -111.69465, "name": "Orem" }, "waypoint": { "lat": 49.48056, "lon": 6.0875, "name": "Dudelange" }, "question": "Is Dudelange approximately on the direct path from Potrerillos to Orem?", "ground_truth": { "answer": false, "direct_distance_km": 3611.5, "via_waypoint_km": 17340.8, "detour_km": 13729.3, "detour_percent": 380.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Potrerillos", " End: Orem", " Waypoint: Dudelange", "Step 2: Calculate direct distance", " Start → End: 3611.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17340.8 km", "Step 4: Calculate detour", " Detour = 17340.8 - 3611.5 = 13729.3 km", " Detour % = (13729.3 / 3611.5) × 100 = 380.2%", "Step 5: Determine if on route (typically < 10% detour)", " 380.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 46.87719, "lon": -96.7898, "name": "Fargo" }, "end": { "lat": 33.83141, "lon": -118.28202, "name": "Carson" }, "waypoint": { "lat": -34.65072, "lon": -59.43143, "name": "Mercedes" }, "question": "Is Mercedes approximately on the direct path from Fargo to Carson?", "ground_truth": { "answer": false, "direct_distance_km": 2315.0, "via_waypoint_km": 19576.1, "detour_km": 17261.1, "detour_percent": 745.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Fargo", " End: Carson", " Waypoint: Mercedes", "Step 2: Calculate direct distance", " Start → End: 2315.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19576.1 km", "Step 4: Calculate detour", " Detour = 19576.1 - 2315.0 = 17261.1 km", " Detour % = (17261.1 / 2315.0) × 100 = 745.6%", "Step 5: Determine if on route (typically < 10% detour)", " 745.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 5.35581, "lon": -3.88537, "name": "Bingerville" }, "end": { "lat": 6.43167, "lon": 46.46194, "name": "Dhabad" }, "waypoint": { "lat": 51.17983, "lon": 7.1925, "name": "Remscheid" }, "question": "Is Remscheid approximately on the direct path from Bingerville to Dhabad?", "ground_truth": { "answer": false, "direct_distance_km": 5567.9, "via_waypoint_km": 11345.0, "detour_km": 5777.1, "detour_percent": 103.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Bingerville", " End: Dhabad", " Waypoint: Remscheid", "Step 2: Calculate direct distance", " Start → End: 5567.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 11345.0 km", "Step 4: Calculate detour", " Detour = 11345.0 - 5567.9 = 5777.1 km", " Detour % = (5777.1 / 5567.9) × 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": 0.03889, "lon": -51.06639, "name": "Macapá" }, "end": { "lat": 29.52454, "lon": 74.83689, "name": "Rānia" }, "waypoint": { "lat": -9.25, "lon": 33.65, "name": "Tukuyu" }, "question": "Is Tukuyu approximately on the direct path from Macapá to Rānia?", "ground_truth": { "answer": false, "direct_distance_km": 13416.7, "via_waypoint_km": 15594.3, "detour_km": 2177.5, "detour_percent": 16.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Macapá", " End: Rānia", " Waypoint: Tukuyu", "Step 2: Calculate direct distance", " Start → End: 13416.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15594.3 km", "Step 4: Calculate detour", " Detour = 15594.3 - 13416.7 = 2177.5 km", " Detour % = (2177.5 / 13416.7) × 100 = 16.2%", "Step 5: Determine if on route (typically < 10% detour)", " 16.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 35.85048, "lon": -0.318, "name": "Arzew" }, "end": { "lat": 37.47249, "lon": -4.44206, "name": "Cabra" }, "waypoint": { "lat": 51.68033, "lon": 7.82089, "name": "Hamm" }, "question": "Is Hamm approximately on the direct path from Arzew to Cabra?", "ground_truth": { "answer": false, "direct_distance_km": 409.6, "via_waypoint_km": 3723.7, "detour_km": 3314.1, "detour_percent": 809.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Arzew", " End: Cabra", " Waypoint: Hamm", "Step 2: Calculate direct distance", " Start → End: 409.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 3723.7 km", "Step 4: Calculate detour", " Detour = 3723.7 - 409.6 = 3314.1 km", " Detour % = (3314.1 / 409.6) × 100 = 809.0%", "Step 5: Determine if on route (typically < 10% detour)", " 809.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 40.67056, "lon": 22.90833, "name": "Évosmos" }, "end": { "lat": 56.74049, "lon": 37.18648, "name": "Dubna" }, "waypoint": { "lat": -28.73226, "lon": 24.76232, "name": "Kimberley" }, "question": "Is Kimberley approximately on the direct path from Évosmos to Dubna?", "ground_truth": { "answer": false, "direct_distance_km": 2062.1, "via_waypoint_km": 17295.7, "detour_km": 15233.6, "detour_percent": 738.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Évosmos", " End: Dubna", " Waypoint: Kimberley", "Step 2: Calculate direct distance", " Start → End: 2062.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17295.7 km", "Step 4: Calculate detour", " Detour = 17295.7 - 2062.1 = 15233.6 km", " Detour % = (15233.6 / 2062.1) × 100 = 738.7%", "Step 5: Determine if on route (typically < 10% detour)", " 738.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -2.52972, "lon": -44.30278, "name": "São Luís" }, "end": { "lat": 55.99003, "lon": 40.02052, "name": "Sobinka" }, "waypoint": { "lat": 50.2584, "lon": 18.85632, "name": "Ruda Śląska" }, "question": "Is Ruda Śląska approximately on the direct path from São Luís to Sobinka?", "ground_truth": { "answer": true, "direct_distance_km": 9888.5, "via_waypoint_km": 9909.7, "detour_km": 21.2, "detour_percent": 0.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: São Luís", " End: Sobinka", " Waypoint: Ruda Śląska", "Step 2: Calculate direct distance", " Start → End: 9888.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 9909.7 km", "Step 4: Calculate detour", " Detour = 9909.7 - 9888.5 = 21.2 km", " Detour % = (21.2 / 9888.5) × 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": 40.34923, "lon": 14.99067, "name": "Agropoli" }, "end": { "lat": 49.8004, "lon": 30.12851, "name": "Bila Tserkva" }, "waypoint": { "lat": 50.72485, "lon": 1.61373, "name": "Boulogne-sur-Mer" }, "question": "Is Boulogne-sur-Mer approximately on the direct path from Agropoli to Bila Tserkva?", "ground_truth": { "answer": false, "direct_distance_km": 1581.3, "via_waypoint_km": 3566.7, "detour_km": 1985.5, "detour_percent": 125.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Agropoli", " End: Bila Tserkva", " Waypoint: Boulogne-sur-Mer", "Step 2: Calculate direct distance", " Start → End: 1581.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 3566.7 km", "Step 4: Calculate detour", " Detour = 3566.7 - 1581.3 = 1985.5 km", " Detour % = (1985.5 / 1581.3) × 100 = 125.6%", "Step 5: Determine if on route (typically < 10% detour)", " 125.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 6.49224, "lon": -6.58558, "name": "Issia" }, "end": { "lat": -33.83333, "lon": 150.98333, "name": "Merrylands" }, "waypoint": { "lat": 38.20591, "lon": 37.1983, "name": "Elbistan" }, "question": "Is Elbistan approximately on the direct path from Issia to Merrylands?", "ground_truth": { "answer": false, "direct_distance_km": 16198.2, "via_waypoint_km": 19803.9, "detour_km": 3605.7, "detour_percent": 22.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Issia", " End: Merrylands", " Waypoint: Elbistan", "Step 2: Calculate direct distance", " Start → End: 16198.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19803.9 km", "Step 4: Calculate detour", " Detour = 19803.9 - 16198.2 = 3605.7 km", " Detour % = (3605.7 / 16198.2) × 100 = 22.3%", "Step 5: Determine if on route (typically < 10% detour)", " 22.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 50.37069, "lon": 3.07922, "name": "Douai" }, "end": { "lat": -7.65194, "lon": -40.14889, "name": "Ipubi" }, "waypoint": { "lat": 39.0375, "lon": 65.585, "name": "Koson" }, "question": "Is Koson approximately on the direct path from Douai to Ipubi?", "ground_truth": { "answer": false, "direct_distance_km": 7674.7, "via_waypoint_km": 16842.7, "detour_km": 9168.0, "detour_percent": 119.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Douai", " End: Ipubi", " Waypoint: Koson", "Step 2: Calculate direct distance", " Start → End: 7674.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16842.7 km", "Step 4: Calculate detour", " Detour = 16842.7 - 7674.7 = 9168.0 km", " Detour % = (9168.0 / 7674.7) × 100 = 119.5%", "Step 5: Determine if on route (typically < 10% detour)", " 119.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -14.97583, "lon": -41.41083, "name": "Tremedal" }, "end": { "lat": -29.70167, "lon": -51.24194, "name": "Portão" }, "waypoint": { "lat": 28.68208, "lon": 112.87864, "name": "Wenxing" }, "question": "Is Wenxing approximately on the direct path from Tremedal to Portão?", "ground_truth": { "answer": false, "direct_distance_km": 1922.2, "via_waypoint_km": 35436.3, "detour_km": 33514.1, "detour_percent": 1743.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Tremedal", " End: Portão", " Waypoint: Wenxing", "Step 2: Calculate direct distance", " Start → End: 1922.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 35436.3 km", "Step 4: Calculate detour", " Detour = 35436.3 - 1922.2 = 33514.1 km", " Detour % = (33514.1 / 1922.2) × 100 = 1743.6%", "Step 5: Determine if on route (typically < 10% detour)", " 1743.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 53.55173, "lon": 9.88632, "name": "Othmarschen" }, "end": { "lat": 42.32002, "lon": -89.05816, "name": "Loves Park" }, "waypoint": { "lat": -32.83369, "lon": -70.59827, "name": "Los Andes" }, "question": "Is Los Andes approximately on the direct path from Othmarschen to Loves Park?", "ground_truth": { "answer": false, "direct_distance_km": 6866.6, "via_waypoint_km": 20876.8, "detour_km": 14010.2, "detour_percent": 204.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Othmarschen", " End: Loves Park", " Waypoint: Los Andes", "Step 2: Calculate direct distance", " Start → End: 6866.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20876.8 km", "Step 4: Calculate detour", " Detour = 20876.8 - 6866.6 = 14010.2 km", " Detour % = (14010.2 / 6866.6) × 100 = 204.0%", "Step 5: Determine if on route (typically < 10% detour)", " 204.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 41.45532, "lon": -81.91792, "name": "Westlake" }, "end": { "lat": -25.06597, "lon": -130.10147, "name": "Adamstown" }, "waypoint": { "lat": 36.16809, "lon": -5.34777, "name": "La Línea de la Concepción" }, "question": "Is La Línea de la Concepción approximately on the direct path from Westlake to Adamstown?", "ground_truth": { "answer": false, "direct_distance_km": 8905.2, "via_waypoint_km": 21097.9, "detour_km": 12192.8, "detour_percent": 136.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Westlake", " End: Adamstown", " Waypoint: La Línea de la Concepción", "Step 2: Calculate direct distance", " Start → End: 8905.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21097.9 km", "Step 4: Calculate detour", " Detour = 21097.9 - 8905.2 = 12192.8 km", " Detour % = (12192.8 / 8905.2) × 100 = 136.9%", "Step 5: Determine if on route (typically < 10% detour)", " 136.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 28.96667, "lon": 106.53333, "name": "Yongxin" }, "end": { "lat": 40.64581, "lon": 140.58354, "name": "Kuroishi" }, "waypoint": { "lat": 51.53131, "lon": 20.00855, "name": "Tomaszów Mazowiecki" }, "question": "Is Tomaszów Mazowiecki approximately on the direct path from Yongxin to Kuroishi?", "ground_truth": { "answer": false, "direct_distance_km": 3342.8, "via_waypoint_km": 15567.3, "detour_km": 12224.5, "detour_percent": 365.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Yongxin", " End: Kuroishi", " Waypoint: Tomaszów Mazowiecki", "Step 2: Calculate direct distance", " Start → End: 3342.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15567.3 km", "Step 4: Calculate detour", " Detour = 15567.3 - 3342.8 = 12224.5 km", " Detour % = (12224.5 / 3342.8) × 100 = 365.7%", "Step 5: Determine if on route (typically < 10% detour)", " 365.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 33.36853, "lon": 129.55247, "name": "Hirado" }, "end": { "lat": 33.94055, "lon": 10.06439, "name": "Rhennouch" }, "waypoint": { "lat": 27.4631, "lon": -82.58176, "name": "South Bradenton" }, "question": "Is South Bradenton approximately on the direct path from Hirado to Rhennouch?", "ground_truth": { "answer": false, "direct_distance_km": 10223.9, "via_waypoint_km": 21020.1, "detour_km": 10796.2, "detour_percent": 105.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Hirado", " End: Rhennouch", " Waypoint: South Bradenton", "Step 2: Calculate direct distance", " Start → End: 10223.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21020.1 km", "Step 4: Calculate detour", " Detour = 21020.1 - 10223.9 = 10796.2 km", " Detour % = (10796.2 / 10223.9) × 100 = 105.6%", "Step 5: Determine if on route (typically < 10% detour)", " 105.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -24.24423, "lon": -49.70932, "name": "Jaguariaíva" }, "end": { "lat": 32.5773, "lon": 51.45367, "name": "Qahderījān" }, "waypoint": { "lat": 20.00671, "lon": 75.19245, "name": "Khuldābād" }, "question": "Is Khuldābād approximately on the direct path from Jaguariaíva to Qahderījān?", "ground_truth": { "answer": false, "direct_distance_km": 12421.2, "via_waypoint_km": 17094.1, "detour_km": 4672.9, "detour_percent": 37.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Jaguariaíva", " End: Qahderījān", " Waypoint: Khuldābād", "Step 2: Calculate direct distance", " Start → End: 12421.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17094.1 km", "Step 4: Calculate detour", " Detour = 17094.1 - 12421.2 = 4672.9 km", " Detour % = (4672.9 / 12421.2) × 100 = 37.6%", "Step 5: Determine if on route (typically < 10% detour)", " 37.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 29.39313, "lon": 108.78459, "name": "Fengjia" }, "end": { "lat": 24.44647, "lon": 117.81216, "name": "Shima" }, "waypoint": { "lat": 36.00667, "lon": 106.28083, "name": "Guyuan" }, "question": "Is Guyuan approximately on the direct path from Fengjia to Shima?", "ground_truth": { "answer": false, "direct_distance_km": 1050.0, "via_waypoint_km": 2465.9, "detour_km": 1415.9, "detour_percent": 134.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Fengjia", " End: Shima", " Waypoint: Guyuan", "Step 2: Calculate direct distance", " Start → End: 1050.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 2465.9 km", "Step 4: Calculate detour", " Detour = 2465.9 - 1050.0 = 1415.9 km", " Detour % = (1415.9 / 1050.0) × 100 = 134.9%", "Step 5: Determine if on route (typically < 10% detour)", " 134.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 23.97345, "lon": 71.81922, "name": "Thara" }, "end": { "lat": -9.61806, "lon": -36.76806, "name": "Craíbas" }, "waypoint": { "lat": 3.98695, "lon": -73.75797, "name": "Acacías" }, "question": "Is Acacías approximately on the direct path from Thara to Craíbas?", "ground_truth": { "answer": false, "direct_distance_km": 12320.0, "via_waypoint_km": 19530.6, "detour_km": 7210.7, "detour_percent": 58.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Thara", " End: Craíbas", " Waypoint: Acacías", "Step 2: Calculate direct distance", " Start → End: 12320.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19530.6 km", "Step 4: Calculate detour", " Detour = 19530.6 - 12320.0 = 7210.7 km", " Detour % = (7210.7 / 12320.0) × 100 = 58.5%", "Step 5: Determine if on route (typically < 10% detour)", " 58.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 50.46379, "lon": 4.3747, "name": "Courcelles" }, "end": { "lat": 49.02894, "lon": 33.43847, "name": "Kriukiv" }, "waypoint": { "lat": -33.59217, "lon": -70.6996, "name": "San Bernardo" }, "question": "Is San Bernardo approximately on the direct path from Courcelles to Kriukiv?", "ground_truth": { "answer": false, "direct_distance_km": 2080.9, "via_waypoint_km": 25609.5, "detour_km": 23528.5, "detour_percent": 1130.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Courcelles", " End: Kriukiv", " Waypoint: San Bernardo", "Step 2: Calculate direct distance", " Start → End: 2080.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 25609.5 km", "Step 4: Calculate detour", " Detour = 25609.5 - 2080.9 = 23528.5 km", " Detour % = (23528.5 / 2080.9) × 100 = 1130.7%", "Step 5: Determine if on route (typically < 10% detour)", " 1130.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -23.60926, "lon": -46.62304, "name": "Bosque Saúde" }, "end": { "lat": 32.83706, "lon": 35.0776, "name": "Qiryat Motsqin" }, "waypoint": { "lat": 7.50077, "lon": 134.6238, "name": "Ngerulmud" }, "question": "Is Ngerulmud approximately on the direct path from Bosque Saúde to Qiryat Motsqin?", "ground_truth": { "answer": false, "direct_distance_km": 10684.4, "via_waypoint_km": 28656.0, "detour_km": 17971.6, "detour_percent": 168.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Bosque Saúde", " End: Qiryat Motsqin", " Waypoint: Ngerulmud", "Step 2: Calculate direct distance", " Start → End: 10684.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 28656.0 km", "Step 4: Calculate detour", " Detour = 28656.0 - 10684.4 = 17971.6 km", " Detour % = (17971.6 / 10684.4) × 100 = 168.2%", "Step 5: Determine if on route (typically < 10% detour)", " 168.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 10.47027, "lon": -66.61934, "name": "Guarenas" }, "end": { "lat": -31.09321, "lon": -64.48448, "name": "La Falda" }, "waypoint": { "lat": 49.91985, "lon": 9.07596, "name": "Großostheim" }, "question": "Is Großostheim approximately on the direct path from Guarenas to La Falda?", "ground_truth": { "answer": false, "direct_distance_km": 4627.3, "via_waypoint_km": 19642.3, "detour_km": 15015.1, "detour_percent": 324.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Guarenas", " End: La Falda", " Waypoint: Großostheim", "Step 2: Calculate direct distance", " Start → End: 4627.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19642.3 km", "Step 4: Calculate detour", " Detour = 19642.3 - 4627.3 = 15015.1 km", " Detour % = (15015.1 / 4627.3) × 100 = 324.5%", "Step 5: Determine if on route (typically < 10% detour)", " 324.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 36.83578, "lon": 10.31641, "name": "Le Kram" }, "end": { "lat": 5.43102, "lon": -6.55946, "name": "Touagui" }, "waypoint": { "lat": 51.88571, "lon": -0.52288, "name": "Dunstable" }, "question": "Is Dunstable approximately on the direct path from Le Kram to Touagui?", "ground_truth": { "answer": false, "direct_distance_km": 3891.3, "via_waypoint_km": 7073.0, "detour_km": 3181.7, "detour_percent": 81.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Le Kram", " End: Touagui", " Waypoint: Dunstable", "Step 2: Calculate direct distance", " Start → End: 3891.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 7073.0 km", "Step 4: Calculate detour", " Detour = 7073.0 - 3891.3 = 3181.7 km", " Detour % = (3181.7 / 3891.3) × 100 = 81.8%", "Step 5: Determine if on route (typically < 10% detour)", " 81.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 32.73709, "lon": 36.06654, "name": "Ţafas" }, "end": { "lat": 28.21024, "lon": 76.86056, "name": "Bhiwadi" }, "waypoint": { "lat": 41.13488, "lon": 24.888, "name": "Xánthi" }, "question": "Is Xánthi approximately on the direct path from Ţafas to Bhiwadi?", "ground_truth": { "answer": false, "direct_distance_km": 3917.8, "via_waypoint_km": 6249.4, "detour_km": 2331.6, "detour_percent": 59.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ţafas", " End: Bhiwadi", " Waypoint: Xánthi", "Step 2: Calculate direct distance", " Start → End: 3917.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 6249.4 km", "Step 4: Calculate detour", " Detour = 6249.4 - 3917.8 = 2331.6 km", " Detour % = (2331.6 / 3917.8) × 100 = 59.5%", "Step 5: Determine if on route (typically < 10% detour)", " 59.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 22.59306, "lon": 113.8889, "name": "Xixiang" }, "end": { "lat": 27.66368, "lon": 80.47371, "name": "Maholi" }, "waypoint": { "lat": 40.8971, "lon": 14.18824, "name": "Marano di Napoli" }, "question": "Is Marano di Napoli approximately on the direct path from Xixiang to Maholi?", "ground_truth": { "answer": false, "direct_distance_km": 3400.3, "via_waypoint_km": 15270.2, "detour_km": 11869.9, "detour_percent": 349.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Xixiang", " End: Maholi", " Waypoint: Marano di Napoli", "Step 2: Calculate direct distance", " Start → End: 3400.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15270.2 km", "Step 4: Calculate detour", " Detour = 15270.2 - 3400.3 = 11869.9 km", " Detour % = (11869.9 / 3400.3) × 100 = 349.1%", "Step 5: Determine if on route (typically < 10% detour)", " 349.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -38.26667, "lon": 145.01667, "name": "Mount Martha" }, "end": { "lat": 55.11091, "lon": 33.23728, "name": "Safonovo" }, "waypoint": { "lat": 26.13845, "lon": 68.27444, "name": "Sakrand" }, "question": "Is Sakrand approximately on the direct path from Mount Martha to Safonovo?", "ground_truth": { "answer": true, "direct_distance_km": 14725.1, "via_waypoint_km": 15006.7, "detour_km": 281.7, "detour_percent": 1.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Mount Martha", " End: Safonovo", " Waypoint: Sakrand", "Step 2: Calculate direct distance", " Start → End: 14725.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15006.7 km", "Step 4: Calculate detour", " Detour = 15006.7 - 14725.1 = 281.7 km", " Detour % = (281.7 / 14725.1) × 100 = 1.9%", "Step 5: Determine if on route (typically < 10% detour)", " 1.9% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -20.02745, "lon": -40.74336, "name": "Santa Maria de Jetibá" }, "end": { "lat": 6.56913, "lon": -8.00253, "name": "Bloléquin" }, "waypoint": { "lat": 55.58316, "lon": 37.26019, "name": "Annino" }, "question": "Is Annino approximately on the direct path from Santa Maria de Jetibá to Bloléquin?", "ground_truth": { "answer": false, "direct_distance_km": 4644.0, "via_waypoint_km": 17857.8, "detour_km": 13213.8, "detour_percent": 284.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Santa Maria de Jetibá", " End: Bloléquin", " Waypoint: Annino", "Step 2: Calculate direct distance", " Start → End: 4644.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17857.8 km", "Step 4: Calculate detour", " Detour = 17857.8 - 4644.0 = 13213.8 km", " Detour % = (13213.8 / 4644.0) × 100 = 284.5%", "Step 5: Determine if on route (typically < 10% detour)", " 284.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 53.75752, "lon": 87.13599, "name": "Novokuznetsk" }, "end": { "lat": -3.36139, "lon": -42.41778, "name": "São Bernardo" }, "waypoint": { "lat": 9.91246, "lon": -67.35398, "name": "San Juan de los Morros" }, "question": "Is San Juan de los Morros approximately on the direct path from Novokuznetsk to São Bernardo?", "ground_truth": { "answer": false, "direct_distance_km": 12791.0, "via_waypoint_km": 15669.1, "detour_km": 2878.2, "detour_percent": 22.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Novokuznetsk", " End: São Bernardo", " Waypoint: San Juan de los Morros", "Step 2: Calculate direct distance", " Start → End: 12791.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15669.1 km", "Step 4: Calculate detour", " Detour = 15669.1 - 12791.0 = 2878.2 km", " Detour % = (2878.2 / 12791.0) × 100 = 22.5%", "Step 5: Determine if on route (typically < 10% detour)", " 22.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 35.08676, "lon": -90.05676, "name": "New South Memphis" }, "end": { "lat": -7.48179, "lon": -36.13222, "name": "Boqueirão" }, "waypoint": { "lat": 17.68138, "lon": 77.60743, "name": "Zahirābād" }, "question": "Is Zahirābād approximately on the direct path from New South Memphis to Boqueirão?", "ground_truth": { "answer": false, "direct_distance_km": 7365.6, "via_waypoint_km": 26772.7, "detour_km": 19407.0, "detour_percent": 263.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: New South Memphis", " End: Boqueirão", " Waypoint: Zahirābād", "Step 2: Calculate direct distance", " Start → End: 7365.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 26772.7 km", "Step 4: Calculate detour", " Detour = 26772.7 - 7365.6 = 19407.0 km", " Detour % = (19407.0 / 7365.6) × 100 = 263.5%", "Step 5: Determine if on route (typically < 10% detour)", " 263.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 9.79111, "lon": -13.52333, "name": "Dubréka" }, "end": { "lat": 55.65006, "lon": 12.3016, "name": "Taastrup" }, "waypoint": { "lat": 12.97389, "lon": 123.99333, "name": "Sorsogon" }, "question": "Is Sorsogon approximately on the direct path from Dubréka to Taastrup?", "ground_truth": { "answer": false, "direct_distance_km": 5575.5, "via_waypoint_km": 24806.6, "detour_km": 19231.2, "detour_percent": 344.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Dubréka", " End: Taastrup", " Waypoint: Sorsogon", "Step 2: Calculate direct distance", " Start → End: 5575.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24806.6 km", "Step 4: Calculate detour", " Detour = 24806.6 - 5575.5 = 19231.2 km", " Detour % = (19231.2 / 5575.5) × 100 = 344.9%", "Step 5: Determine if on route (typically < 10% detour)", " 344.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -26.48417, "lon": -51.99056, "name": "Palmas" }, "end": { "lat": 35.67396, "lon": 35.80259, "name": "Burj Islām" }, "waypoint": { "lat": 55.36612, "lon": 50.64399, "name": "Chistopol’" }, "question": "Is Chistopol’ approximately on the direct path from Palmas to Burj Islām?", "ground_truth": { "answer": false, "direct_distance_km": 11499.6, "via_waypoint_km": 15648.5, "detour_km": 4148.9, "detour_percent": 36.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Palmas", " End: Burj Islām", " Waypoint: Chistopol’", "Step 2: Calculate direct distance", " Start → End: 11499.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15648.5 km", "Step 4: Calculate detour", " Detour = 15648.5 - 11499.6 = 4148.9 km", " Detour % = (4148.9 / 11499.6) × 100 = 36.1%", "Step 5: Determine if on route (typically < 10% detour)", " 36.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -11.23333, "lon": -38.48333, "name": "Nova Soure" }, "end": { "lat": -22.73917, "lon": -47.33139, "name": "Americana" }, "waypoint": { "lat": 27.73264, "lon": 30.84129, "name": "Mallawī" }, "question": "Is Mallawī approximately on the direct path from Nova Soure to Americana?", "ground_truth": { "answer": false, "direct_distance_km": 1586.9, "via_waypoint_km": 18708.8, "detour_km": 17121.9, "detour_percent": 1079.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Nova Soure", " End: Americana", " Waypoint: Mallawī", "Step 2: Calculate direct distance", " Start → End: 1586.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18708.8 km", "Step 4: Calculate detour", " Detour = 18708.8 - 1586.9 = 17121.9 km", " Detour % = (17121.9 / 1586.9) × 100 = 1079.0%", "Step 5: Determine if on route (typically < 10% detour)", " 1079.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -42.87936, "lon": 147.32941, "name": "Hobart" }, "end": { "lat": -37.77988, "lon": 144.92276, "name": "Ascot Vale" }, "waypoint": { "lat": 7.08971, "lon": 171.38027, "name": "Majuro" }, "question": "Is Majuro approximately on the direct path from Hobart to Ascot Vale?", "ground_truth": { "answer": false, "direct_distance_km": 602.5, "via_waypoint_km": 11758.6, "detour_km": 11156.0, "detour_percent": 1851.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Hobart", " End: Ascot Vale", " Waypoint: Majuro", "Step 2: Calculate direct distance", " Start → End: 602.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 11758.6 km", "Step 4: Calculate detour", " Detour = 11758.6 - 602.5 = 11156.0 km", " Detour % = (11156.0 / 602.5) × 100 = 1851.5%", "Step 5: Determine if on route (typically < 10% detour)", " 1851.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 53.2747, "lon": -6.2253, "name": "Sandyford" }, "end": { "lat": 30.67731, "lon": 75.82633, "name": "Ahmedgarh" }, "waypoint": { "lat": -37.86667, "lon": 145.28333, "name": "Boronia" }, "question": "Is Boronia approximately on the direct path from Sandyford to Ahmedgarh?", "ground_truth": { "answer": false, "direct_distance_km": 6817.5, "via_waypoint_km": 27729.2, "detour_km": 20911.7, "detour_percent": 306.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Sandyford", " End: Ahmedgarh", " Waypoint: Boronia", "Step 2: Calculate direct distance", " Start → End: 6817.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 27729.2 km", "Step 4: Calculate detour", " Detour = 27729.2 - 6817.5 = 20911.7 km", " Detour % = (20911.7 / 6817.5) × 100 = 306.7%", "Step 5: Determine if on route (typically < 10% detour)", " 306.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 21.74015, "lon": 70.28256, "name": "Upleta" }, "end": { "lat": -9.34917, "lon": 34.77167, "name": "Njombe" }, "waypoint": { "lat": -21.01111, "lon": -40.83389, "name": "Itapemirim" }, "question": "Is Itapemirim approximately on the direct path from Upleta to Njombe?", "ground_truth": { "answer": false, "direct_distance_km": 5192.2, "via_waypoint_km": 21098.5, "detour_km": 15906.4, "detour_percent": 306.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Upleta", " End: Njombe", " Waypoint: Itapemirim", "Step 2: Calculate direct distance", " Start → End: 5192.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21098.5 km", "Step 4: Calculate detour", " Detour = 21098.5 - 5192.2 = 15906.4 km", " Detour % = (15906.4 / 5192.2) × 100 = 306.4%", "Step 5: Determine if on route (typically < 10% detour)", " 306.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 29.9253, "lon": 106.4907, "name": "Tuchang" }, "end": { "lat": 41.24, "lon": 119.40111, "name": "Lingyuan" }, "waypoint": { "lat": 0.20333, "lon": 32.08806, "name": "Gombe" }, "question": "Is Gombe approximately on the direct path from Tuchang to Lingyuan?", "ground_truth": { "answer": false, "direct_distance_km": 1712.5, "via_waypoint_km": 18265.6, "detour_km": 16553.0, "detour_percent": 966.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Tuchang", " End: Lingyuan", " Waypoint: Gombe", "Step 2: Calculate direct distance", " Start → End: 1712.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18265.6 km", "Step 4: Calculate detour", " Detour = 18265.6 - 1712.5 = 16553.0 km", " Detour % = (16553.0 / 1712.5) × 100 = 966.6%", "Step 5: Determine if on route (typically < 10% detour)", " 966.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -7.14778, "lon": -55.38111, "name": "Novo Progresso" }, "end": { "lat": 1.50294, "lon": -77.21537, "name": "San Lorenzo" }, "waypoint": { "lat": 5.89674, "lon": -5.15792, "name": "Ogoudou" }, "question": "Is Ogoudou approximately on the direct path from Novo Progresso to San Lorenzo?", "ground_truth": { "answer": false, "direct_distance_km": 2606.5, "via_waypoint_km": 13763.7, "detour_km": 11157.1, "detour_percent": 428.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Novo Progresso", " End: San Lorenzo", " Waypoint: Ogoudou", "Step 2: Calculate direct distance", " Start → End: 2606.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13763.7 km", "Step 4: Calculate detour", " Detour = 13763.7 - 2606.5 = 11157.1 km", " Detour % = (11157.1 / 2606.5) × 100 = 428.0%", "Step 5: Determine if on route (typically < 10% detour)", " 428.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 33.19587, "lon": -117.37948, "name": "Oceanside" }, "end": { "lat": 26.05731, "lon": -80.27172, "name": "Cooper City" }, "waypoint": { "lat": 35.81087, "lon": 139.7712, "name": "Toneri" }, "question": "Is Toneri approximately on the direct path from Oceanside to Cooper City?", "ground_truth": { "answer": false, "direct_distance_km": 3653.6, "via_waypoint_km": 20876.3, "detour_km": 17222.7, "detour_percent": 471.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Oceanside", " End: Cooper City", " Waypoint: Toneri", "Step 2: Calculate direct distance", " Start → End: 3653.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20876.3 km", "Step 4: Calculate detour", " Detour = 20876.3 - 3653.6 = 17222.7 km", " Detour % = (17222.7 / 3653.6) × 100 = 471.4%", "Step 5: Determine if on route (typically < 10% detour)", " 471.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -38.97736, "lon": -67.82714, "name": "Allen" }, "end": { "lat": -28.29389, "lon": -49.93167, "name": "São Joaquim" }, "waypoint": { "lat": -37.74124, "lon": 144.73631, "name": "Caroline Springs" }, "question": "Is Caroline Springs approximately on the direct path from Allen to São Joaquim?", "ground_truth": { "answer": false, "direct_distance_km": 2032.4, "via_waypoint_km": 23372.9, "detour_km": 21340.6, "detour_percent": 1050.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Allen", " End: São Joaquim", " Waypoint: Caroline Springs", "Step 2: Calculate direct distance", " Start → End: 2032.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23372.9 km", "Step 4: Calculate detour", " Detour = 23372.9 - 2032.4 = 21340.6 km", " Detour % = (21340.6 / 2032.4) × 100 = 1050.0%", "Step 5: Determine if on route (typically < 10% detour)", " 1050.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 51.98589, "lon": 9.25246, "name": "Bad Pyrmont" }, "end": { "lat": 48.52266, "lon": 9.05222, "name": "Tübingen" }, "waypoint": { "lat": 10.69623, "lon": 1.06307, "name": "Matéri" }, "question": "Is Matéri approximately on the direct path from Bad Pyrmont to Tübingen?", "ground_truth": { "answer": false, "direct_distance_km": 385.4, "via_waypoint_km": 8921.8, "detour_km": 8536.4, "detour_percent": 2215.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Bad Pyrmont", " End: Tübingen", " Waypoint: Matéri", "Step 2: Calculate direct distance", " Start → End: 385.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 8921.8 km", "Step 4: Calculate detour", " Detour = 8921.8 - 385.4 = 8536.4 km", " Detour % = (8536.4 / 385.4) × 100 = 2215.2%", "Step 5: Determine if on route (typically < 10% detour)", " 2215.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 35.38423, "lon": -97.72449, "name": "Mustang" }, "end": { "lat": 53.51703, "lon": 10.2488, "name": "Reinbek" }, "waypoint": { "lat": 1.15, "lon": 34.15, "name": "Nakaloke" }, "question": "Is Nakaloke approximately on the direct path from Mustang to Reinbek?", "ground_truth": { "answer": false, "direct_distance_km": 7959.2, "via_waypoint_km": 19808.6, "detour_km": 11849.4, "detour_percent": 148.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Mustang", " End: Reinbek", " Waypoint: Nakaloke", "Step 2: Calculate direct distance", " Start → End: 7959.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19808.6 km", "Step 4: Calculate detour", " Detour = 19808.6 - 7959.2 = 11849.4 km", " Detour % = (11849.4 / 7959.2) × 100 = 148.9%", "Step 5: Determine if on route (typically < 10% detour)", " 148.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 33.75566, "lon": -96.53666, "name": "Denison" }, "end": { "lat": 31.02526, "lon": -114.84173, "name": "San Felipe" }, "waypoint": { "lat": -22.99483, "lon": -43.23989, "name": "Vidigal" }, "question": "Is Vidigal approximately on the direct path from Denison to San Felipe?", "ground_truth": { "answer": false, "direct_distance_km": 1742.9, "via_waypoint_km": 18165.0, "detour_km": 16422.1, "detour_percent": 942.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Denison", " End: San Felipe", " Waypoint: Vidigal", "Step 2: Calculate direct distance", " Start → End: 1742.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18165.0 km", "Step 4: Calculate detour", " Detour = 18165.0 - 1742.9 = 16422.1 km", " Detour % = (16422.1 / 1742.9) × 100 = 942.2%", "Step 5: Determine if on route (typically < 10% detour)", " 942.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -37.2, "lon": 174.95, "name": "Pukekohe East" }, "end": { "lat": 50.80434, "lon": 6.49299, "name": "Düren" }, "waypoint": { "lat": -1.15194, "lon": -48.12944, "name": "Santo Antônio do Tauá" }, "question": "Is Santo Antônio do Tauá approximately on the direct path from Pukekohe East to Düren?", "ground_truth": { "answer": false, "direct_distance_km": 18247.6, "via_waypoint_km": 21595.7, "detour_km": 3348.2, "detour_percent": 18.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Pukekohe East", " End: Düren", " Waypoint: Santo Antônio do Tauá", "Step 2: Calculate direct distance", " Start → End: 18247.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21595.7 km", "Step 4: Calculate detour", " Detour = 21595.7 - 18247.6 = 3348.2 km", " Detour % = (3348.2 / 18247.6) × 100 = 18.3%", "Step 5: Determine if on route (typically < 10% detour)", " 18.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 50.40026, "lon": 18.90232, "name": "Radzionków" }, "end": { "lat": 8.83726, "lon": 76.64505, "name": "Mayyanād" }, "waypoint": { "lat": 34.56454, "lon": -92.58683, "name": "Benton" }, "question": "Is Benton approximately on the direct path from Radzionków to Mayyanād?", "ground_truth": { "answer": false, "direct_distance_km": 7001.4, "via_waypoint_km": 23489.2, "detour_km": 16487.8, "detour_percent": 235.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Radzionków", " End: Mayyanād", " Waypoint: Benton", "Step 2: Calculate direct distance", " Start → End: 7001.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23489.2 km", "Step 4: Calculate detour", " Detour = 23489.2 - 7001.4 = 16487.8 km", " Detour % = (16487.8 / 7001.4) × 100 = 235.5%", "Step 5: Determine if on route (typically < 10% detour)", " 235.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 4.99337, "lon": 19.96186, "name": "Kouango" }, "end": { "lat": 25.79216, "lon": 78.11085, "name": "Bhitarwār" }, "waypoint": { "lat": -23.5702, "lon": -46.72628, "name": "Butanta" }, "question": "Is Butanta approximately on the direct path from Kouango to Bhitarwār?", "ground_truth": { "answer": false, "direct_distance_km": 6588.9, "via_waypoint_km": 22365.5, "detour_km": 15776.6, "detour_percent": 239.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kouango", " End: Bhitarwār", " Waypoint: Butanta", "Step 2: Calculate direct distance", " Start → End: 6588.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22365.5 km", "Step 4: Calculate detour", " Detour = 22365.5 - 6588.9 = 15776.6 km", " Detour % = (15776.6 / 6588.9) × 100 = 239.4%", "Step 5: Determine if on route (typically < 10% detour)", " 239.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -22.84333, "lon": -47.60611, "name": "Rio das Pedras" }, "end": { "lat": -20.15139, "lon": -41.62278, "name": "Lajinha" }, "waypoint": { "lat": 26.82634, "lon": 100.21906, "name": "Huangshan" }, "question": "Is Huangshan approximately on the direct path from Rio das Pedras to Lajinha?", "ground_truth": { "answer": false, "direct_distance_km": 687.5, "via_waypoint_km": 32815.5, "detour_km": 32128.0, "detour_percent": 4673.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Rio das Pedras", " End: Lajinha", " Waypoint: Huangshan", "Step 2: Calculate direct distance", " Start → End: 687.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 32815.5 km", "Step 4: Calculate detour", " Detour = 32815.5 - 687.5 = 32128.0 km", " Detour % = (32128.0 / 687.5) × 100 = 4673.2%", "Step 5: Determine if on route (typically < 10% detour)", " 4673.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 39.74595, "lon": -75.54659, "name": "Wilmington" }, "end": { "lat": -10.93333, "lon": 35.01667, "name": "Mbinga" }, "waypoint": { "lat": 6.41692, "lon": 3.14058, "name": "Irewe" }, "question": "Is Irewe approximately on the direct path from Wilmington to Mbinga?", "ground_truth": { "answer": true, "direct_distance_km": 12535.3, "via_waypoint_km": 12606.6, "detour_km": 71.3, "detour_percent": 0.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Wilmington", " End: Mbinga", " Waypoint: Irewe", "Step 2: Calculate direct distance", " Start → End: 12535.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12606.6 km", "Step 4: Calculate detour", " Detour = 12606.6 - 12535.3 = 71.3 km", " Detour % = (71.3 / 12535.3) × 100 = 0.6%", "Step 5: Determine if on route (typically < 10% detour)", " 0.6% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 34.34835, "lon": 135.26842, "name": "Sennan" }, "end": { "lat": 14.073, "lon": 5.96, "name": "Madaoua" }, "waypoint": { "lat": 41.12466, "lon": -8.58463, "name": "Oliveira do Douro" }, "question": "Is Oliveira do Douro approximately on the direct path from Sennan to Madaoua?", "ground_truth": { "answer": false, "direct_distance_km": 12423.1, "via_waypoint_km": 14166.4, "detour_km": 1743.3, "detour_percent": 14.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Sennan", " End: Madaoua", " Waypoint: Oliveira do Douro", "Step 2: Calculate direct distance", " Start → End: 12423.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14166.4 km", "Step 4: Calculate detour", " Detour = 14166.4 - 12423.1 = 1743.3 km", " Detour % = (1743.3 / 12423.1) × 100 = 14.0%", "Step 5: Determine if on route (typically < 10% detour)", " 14.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 14.8888, "lon": 5.2692, "name": "Tahoua" }, "end": { "lat": 3.93726, "lon": 41.85688, "name": "Mandera" }, "waypoint": { "lat": 34.16504, "lon": 77.58402, "name": "Leh" }, "question": "Is Leh approximately on the direct path from Tahoua to Mandera?", "ground_truth": { "answer": false, "direct_distance_km": 4186.0, "via_waypoint_km": 12463.9, "detour_km": 8277.9, "detour_percent": 197.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Tahoua", " End: Mandera", " Waypoint: Leh", "Step 2: Calculate direct distance", " Start → End: 4186.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12463.9 km", "Step 4: Calculate detour", " Detour = 12463.9 - 4186.0 = 8277.9 km", " Detour % = (8277.9 / 4186.0) × 100 = 197.7%", "Step 5: Determine if on route (typically < 10% detour)", " 197.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 42.02558, "lon": -88.17841, "name": "Streamwood" }, "end": { "lat": 11.78, "lon": -0.36972, "name": "Tenkodogo" }, "waypoint": { "lat": 10.31672, "lon": 123.89071, "name": "Cebu City" }, "question": "Is Cebu City approximately on the direct path from Streamwood to Tenkodogo?", "ground_truth": { "answer": false, "direct_distance_km": 8954.9, "via_waypoint_km": 26724.0, "detour_km": 17769.2, "detour_percent": 198.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Streamwood", " End: Tenkodogo", " Waypoint: Cebu City", "Step 2: Calculate direct distance", " Start → End: 8954.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 26724.0 km", "Step 4: Calculate detour", " Detour = 26724.0 - 8954.9 = 17769.2 km", " Detour % = (17769.2 / 8954.9) × 100 = 198.4%", "Step 5: Determine if on route (typically < 10% detour)", " 198.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 36.25, "lon": 139.15, "name": "Ishigami" }, "end": { "lat": 19.17279, "lon": 75.17425, "name": "Pāthardi" }, "waypoint": { "lat": 4.61889, "lon": -75.63583, "name": "Circasia" }, "question": "Is Circasia approximately on the direct path from Ishigami to Pāthardi?", "ground_truth": { "answer": false, "direct_distance_km": 6460.7, "via_waypoint_km": 30075.3, "detour_km": 23614.5, "detour_percent": 365.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ishigami", " End: Pāthardi", " Waypoint: Circasia", "Step 2: Calculate direct distance", " Start → End: 6460.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 30075.3 km", "Step 4: Calculate detour", " Detour = 30075.3 - 6460.7 = 23614.5 km", " Detour % = (23614.5 / 6460.7) × 100 = 365.5%", "Step 5: Determine if on route (typically < 10% detour)", " 365.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -33.89743, "lon": 150.93446, "name": "Cabramatta" }, "end": { "lat": 33.42227, "lon": -111.82264, "name": "Mesa" }, "waypoint": { "lat": 50.88365, "lon": 4.47298, "name": "Zaventem" }, "question": "Is Zaventem approximately on the direct path from Cabramatta to Mesa?", "ground_truth": { "answer": false, "direct_distance_km": 12591.3, "via_waypoint_km": 25483.0, "detour_km": 12891.6, "detour_percent": 102.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Cabramatta", " End: Mesa", " Waypoint: Zaventem", "Step 2: Calculate direct distance", " Start → End: 12591.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 25483.0 km", "Step 4: Calculate detour", " Detour = 25483.0 - 12591.3 = 12891.6 km", " Detour % = (12891.6 / 12591.3) × 100 = 102.4%", "Step 5: Determine if on route (typically < 10% detour)", " 102.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 4.9353, "lon": -6.77828, "name": "Watté" }, "end": { "lat": 32.5007, "lon": -94.74049, "name": "Longview" }, "waypoint": { "lat": 43.27766, "lon": 5.43133, "name": "Saint-Loup" }, "question": "Is Saint-Loup approximately on the direct path from Watté to Longview?", "ground_truth": { "answer": false, "direct_distance_km": 9522.2, "via_waypoint_km": 12761.7, "detour_km": 3239.5, "detour_percent": 34.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Watté", " End: Longview", " Waypoint: Saint-Loup", "Step 2: Calculate direct distance", " Start → End: 9522.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12761.7 km", "Step 4: Calculate detour", " Detour = 12761.7 - 9522.2 = 3239.5 km", " Detour % = (3239.5 / 9522.2) × 100 = 34.0%", "Step 5: Determine if on route (typically < 10% detour)", " 34.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 28.59813, "lon": 76.99161, "name": "Dīndārpur" }, "end": { "lat": 36.16444, "lon": 119.41889, "name": "Xiangzhou" }, "waypoint": { "lat": -6.75, "lon": -35.63333, "name": "Bananeiras" }, "question": "Is Bananeiras approximately on the direct path from Dīndārpur to Xiangzhou?", "ground_truth": { "answer": false, "direct_distance_km": 4039.1, "via_waypoint_km": 28447.6, "detour_km": 24408.5, "detour_percent": 604.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Dīndārpur", " End: Xiangzhou", " Waypoint: Bananeiras", "Step 2: Calculate direct distance", " Start → End: 4039.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 28447.6 km", "Step 4: Calculate detour", " Detour = 28447.6 - 4039.1 = 24408.5 km", " Detour % = (24408.5 / 4039.1) × 100 = 604.3%", "Step 5: Determine if on route (typically < 10% detour)", " 604.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 33.7481, "lon": 45.55503, "name": "Mandalī" }, "end": { "lat": 45.48778, "lon": 64.07806, "name": "Zhosaly" }, "waypoint": { "lat": -13.83333, "lon": -171.76666, "name": "Apia" }, "question": "Is Apia approximately on the direct path from Mandalī to Zhosaly?", "ground_truth": { "answer": false, "direct_distance_km": 2045.8, "via_waypoint_km": 29394.0, "detour_km": 27348.1, "detour_percent": 1336.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Mandalī", " End: Zhosaly", " Waypoint: Apia", "Step 2: Calculate direct distance", " Start → End: 2045.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 29394.0 km", "Step 4: Calculate detour", " Detour = 29394.0 - 2045.8 = 27348.1 km", " Detour % = (27348.1 / 2045.8) × 100 = 1336.8%", "Step 5: Determine if on route (typically < 10% detour)", " 1336.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 51.07947, "lon": 6.31531, "name": "Erkelenz" }, "end": { "lat": -22.995, "lon": -47.50778, "name": "Capivari" }, "waypoint": { "lat": -19.93556, "lon": -40.60028, "name": "Santa Teresa" }, "question": "Is Santa Teresa approximately on the direct path from Erkelenz to Capivari?", "ground_truth": { "answer": true, "direct_distance_km": 9769.0, "via_waypoint_km": 9916.1, "detour_km": 147.1, "detour_percent": 1.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Erkelenz", " End: Capivari", " Waypoint: Santa Teresa", "Step 2: Calculate direct distance", " Start → End: 9769.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 9916.1 km", "Step 4: Calculate detour", " Detour = 9916.1 - 9769.0 = 147.1 km", " Detour % = (147.1 / 9769.0) × 100 = 1.5%", "Step 5: Determine if on route (typically < 10% detour)", " 1.5% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -3.24401, "lon": -79.82874, "name": "Guabo" }, "end": { "lat": -14.47389, "lon": -48.45972, "name": "Niquelândia" }, "waypoint": { "lat": 40.68149, "lon": -73.39984, "name": "Copiague" }, "question": "Is Copiague approximately on the direct path from Guabo to Niquelândia?", "ground_truth": { "answer": false, "direct_distance_km": 3659.1, "via_waypoint_km": 11578.3, "detour_km": 7919.2, "detour_percent": 216.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Guabo", " End: Niquelândia", " Waypoint: Copiague", "Step 2: Calculate direct distance", " Start → End: 3659.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 11578.3 km", "Step 4: Calculate detour", " Detour = 11578.3 - 3659.1 = 7919.2 km", " Detour % = (7919.2 / 3659.1) × 100 = 216.4%", "Step 5: Determine if on route (typically < 10% detour)", " 216.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 17.68138, "lon": 77.60743, "name": "Zahirābād" }, "end": { "lat": 9.02497, "lon": 38.74689, "name": "Addis Ababa" }, "waypoint": { "lat": 6.18461, "lon": -75.59913, "name": "Itagüí" }, "question": "Is Itagüí approximately on the direct path from Zahirābād to Addis Ababa?", "ground_truth": { "answer": false, "direct_distance_km": 4304.1, "via_waypoint_km": 28598.5, "detour_km": 24294.4, "detour_percent": 564.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Zahirābād", " End: Addis Ababa", " Waypoint: Itagüí", "Step 2: Calculate direct distance", " Start → End: 4304.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 28598.5 km", "Step 4: Calculate detour", " Detour = 28598.5 - 4304.1 = 24294.4 km", " Detour % = (24294.4 / 4304.1) × 100 = 564.5%", "Step 5: Determine if on route (typically < 10% detour)", " 564.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -36.9382, "lon": 174.84019, "name": "Otahuhu" }, "end": { "lat": 30.4, "lon": 114.83333, "name": "Ezhou" }, "waypoint": { "lat": 17.02921, "lon": -96.70094, "name": "San Antonio de la Cal" }, "question": "Is San Antonio de la Cal approximately on the direct path from Otahuhu to Ezhou?", "ground_truth": { "answer": false, "direct_distance_km": 9749.3, "via_waypoint_km": 24755.7, "detour_km": 15006.4, "detour_percent": 153.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Otahuhu", " End: Ezhou", " Waypoint: San Antonio de la Cal", "Step 2: Calculate direct distance", " Start → End: 9749.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24755.7 km", "Step 4: Calculate detour", " Detour = 24755.7 - 9749.3 = 15006.4 km", " Detour % = (15006.4 / 9749.3) × 100 = 153.9%", "Step 5: Determine if on route (typically < 10% detour)", " 153.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 7.75624, "lon": -8.8179, "name": "Nzérékoré" }, "end": { "lat": 51.50949, "lon": -0.59541, "name": "Slough" }, "waypoint": { "lat": 50.35909, "lon": 3.52506, "name": "Valenciennes" }, "question": "Is Valenciennes approximately on the direct path from Nzérékoré to Slough?", "ground_truth": { "answer": true, "direct_distance_km": 4923.3, "via_waypoint_km": 5188.9, "detour_km": 265.7, "detour_percent": 5.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Nzérékoré", " End: Slough", " Waypoint: Valenciennes", "Step 2: Calculate direct distance", " Start → End: 4923.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 5188.9 km", "Step 4: Calculate detour", " Detour = 5188.9 - 4923.3 = 265.7 km", " Detour % = (265.7 / 4923.3) × 100 = 5.4%", "Step 5: Determine if on route (typically < 10% detour)", " 5.4% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -13.41316, "lon": -41.28572, "name": "Ibicoara" }, "end": { "lat": -12.21312, "lon": -76.90522, "name": "Villa Poeta José Gálvez Barrenechea" }, "waypoint": { "lat": 30.43666, "lon": 77.62462, "name": "Pāonta Sāhib" }, "question": "Is Pāonta Sāhib approximately on the direct path from Ibicoara to Villa Poeta José Gálvez Barrenechea?", "ground_truth": { "answer": false, "direct_distance_km": 3861.1, "via_waypoint_km": 30217.4, "detour_km": 26356.3, "detour_percent": 682.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ibicoara", " End: Villa Poeta José Gálvez Barrenechea", " Waypoint: Pāonta Sāhib", "Step 2: Calculate direct distance", " Start → End: 3861.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 30217.4 km", "Step 4: Calculate detour", " Detour = 30217.4 - 3861.1 = 26356.3 km", " Detour % = (26356.3 / 3861.1) × 100 = 682.6%", "Step 5: Determine if on route (typically < 10% detour)", " 682.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -37.97695, "lon": 145.25866, "name": "Endeavour Hills" }, "end": { "lat": 33.52111, "lon": 130.42444, "name": "Katanawa" }, "waypoint": { "lat": 41.44778, "lon": 129.65556, "name": "Ŏrang" }, "question": "Is Ŏrang approximately on the direct path from Endeavour Hills to Katanawa?", "ground_truth": { "answer": false, "direct_distance_km": 8096.8, "via_waypoint_km": 9856.5, "detour_km": 1759.6, "detour_percent": 21.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Endeavour Hills", " End: Katanawa", " Waypoint: Ŏrang", "Step 2: Calculate direct distance", " Start → End: 8096.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 9856.5 km", "Step 4: Calculate detour", " Detour = 9856.5 - 8096.8 = 1759.6 km", " Detour % = (1759.6 / 8096.8) × 100 = 21.7%", "Step 5: Determine if on route (typically < 10% detour)", " 21.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 41.12401, "lon": -8.61241, "name": "Vila Nova de Gaia" }, "end": { "lat": 23.39483, "lon": 110.07434, "name": "Guiping" }, "waypoint": { "lat": -13.4425, "lon": -42.23889, "name": "Paramirim" }, "question": "Is Paramirim approximately on the direct path from Vila Nova de Gaia to Guiping?", "ground_truth": { "answer": false, "direct_distance_km": 10458.5, "via_waypoint_km": 23881.5, "detour_km": 13423.0, "detour_percent": 128.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Vila Nova de Gaia", " End: Guiping", " Waypoint: Paramirim", "Step 2: Calculate direct distance", " Start → End: 10458.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23881.5 km", "Step 4: Calculate detour", " Detour = 23881.5 - 10458.5 = 13423.0 km", " Detour % = (13423.0 / 10458.5) × 100 = 128.3%", "Step 5: Determine if on route (typically < 10% detour)", " 128.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 40.58612, "lon": -98.38839, "name": "Hastings" }, "end": { "lat": -21.97556, "lon": -45.35028, "name": "Lambari" }, "waypoint": { "lat": -16.11064, "lon": 46.64383, "name": "Marovoay" }, "question": "Is Marovoay approximately on the direct path from Hastings to Lambari?", "ground_truth": { "answer": false, "direct_distance_km": 8854.5, "via_waypoint_km": 25234.5, "detour_km": 16380.0, "detour_percent": 185.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Hastings", " End: Lambari", " Waypoint: Marovoay", "Step 2: Calculate direct distance", " Start → End: 8854.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 25234.5 km", "Step 4: Calculate detour", " Detour = 25234.5 - 8854.5 = 16380.0 km", " Detour % = (16380.0 / 8854.5) × 100 = 185.0%", "Step 5: Determine if on route (typically < 10% detour)", " 185.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 6.543, "lon": 121.8753, "name": "Maluso" }, "end": { "lat": 36.51274, "lon": 136.89352, "name": "Nanto" }, "waypoint": { "lat": 52.38583, "lon": 6.275, "name": "Raalte" }, "question": "Is Raalte approximately on the direct path from Maluso to Nanto?", "ground_truth": { "answer": false, "direct_distance_km": 3665.4, "via_waypoint_km": 20142.7, "detour_km": 16477.4, "detour_percent": 449.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Maluso", " End: Nanto", " Waypoint: Raalte", "Step 2: Calculate direct distance", " Start → End: 3665.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20142.7 km", "Step 4: Calculate detour", " Detour = 20142.7 - 3665.4 = 16477.4 km", " Detour % = (16477.4 / 3665.4) × 100 = 449.5%", "Step 5: Determine if on route (typically < 10% detour)", " 449.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 43.19472, "lon": -88.72899, "name": "Watertown" }, "end": { "lat": -1.9275, "lon": 18.2881, "name": "Inongo" }, "waypoint": { "lat": 9.60684, "lon": 76.50055, "name": "Aymanam" }, "question": "Is Aymanam approximately on the direct path from Watertown to Inongo?", "ground_truth": { "answer": false, "direct_distance_km": 11527.1, "via_waypoint_km": 20528.0, "detour_km": 9000.9, "detour_percent": 78.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Watertown", " End: Inongo", " Waypoint: Aymanam", "Step 2: Calculate direct distance", " Start → End: 11527.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20528.0 km", "Step 4: Calculate detour", " Detour = 20528.0 - 11527.1 = 9000.9 km", " Detour % = (9000.9 / 11527.1) × 100 = 78.1%", "Step 5: Determine if on route (typically < 10% detour)", " 78.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 36.06667, "lon": 139.6, "name": "Shōbu" }, "end": { "lat": -38.1, "lon": 145.13333, "name": "Seaford" }, "waypoint": { "lat": 37.3281, "lon": -87.49889, "name": "Madisonville" }, "question": "Is Madisonville approximately on the direct path from Shōbu to Seaford?", "ground_truth": { "answer": false, "direct_distance_km": 8266.6, "via_waypoint_km": 25970.0, "detour_km": 17703.5, "detour_percent": 214.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Shōbu", " End: Seaford", " Waypoint: Madisonville", "Step 2: Calculate direct distance", " Start → End: 8266.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 25970.0 km", "Step 4: Calculate detour", " Detour = 25970.0 - 8266.6 = 17703.5 km", " Detour % = (17703.5 / 8266.6) × 100 = 214.2%", "Step 5: Determine if on route (typically < 10% detour)", " 214.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -4.9, "lon": 35.78333, "name": "Kondoa" }, "end": { "lat": 18.51957, "lon": 73.85535, "name": "Pune" }, "waypoint": { "lat": 29.56162, "lon": -98.22696, "name": "Cibolo" }, "question": "Is Cibolo approximately on the direct path from Kondoa to Pune?", "ground_truth": { "answer": false, "direct_distance_km": 4917.6, "via_waypoint_km": 29069.4, "detour_km": 24151.9, "detour_percent": 491.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kondoa", " End: Pune", " Waypoint: Cibolo", "Step 2: Calculate direct distance", " Start → End: 4917.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 29069.4 km", "Step 4: Calculate detour", " Detour = 29069.4 - 4917.6 = 24151.9 km", " Detour % = (24151.9 / 4917.6) × 100 = 491.1%", "Step 5: Determine if on route (typically < 10% detour)", " 491.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 28.45178, "lon": 78.78277, "name": "Chanduasi" }, "end": { "lat": 52.44461, "lon": 15.57801, "name": "Międzyrzecz" }, "waypoint": { "lat": -6.4075, "lon": -41.74556, "name": "Valença do Piauí" }, "question": "Is Valença do Piauí approximately on the direct path from Chanduasi to Międzyrzecz?", "ground_truth": { "answer": false, "direct_distance_km": 5752.8, "via_waypoint_km": 21794.2, "detour_km": 16041.3, "detour_percent": 278.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Chanduasi", " End: Międzyrzecz", " Waypoint: Valença do Piauí", "Step 2: Calculate direct distance", " Start → End: 5752.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21794.2 km", "Step 4: Calculate detour", " Detour = 21794.2 - 5752.8 = 16041.3 km", " Detour % = (16041.3 / 5752.8) × 100 = 278.8%", "Step 5: Determine if on route (typically < 10% detour)", " 278.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 38.39917, "lon": 125.61556, "name": "Chaeryŏng-ŭp" }, "end": { "lat": 16.83553, "lon": 74.31338, "name": "Wadgaon" }, "waypoint": { "lat": 19.65985, "lon": -99.12493, "name": "Santiago Teyahualco" }, "question": "Is Santiago Teyahualco approximately on the direct path from Chaeryŏng-ŭp to Wadgaon?", "ground_truth": { "answer": false, "direct_distance_km": 5508.9, "via_waypoint_km": 27945.0, "detour_km": 22436.0, "detour_percent": 407.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Chaeryŏng-ŭp", " End: Wadgaon", " Waypoint: Santiago Teyahualco", "Step 2: Calculate direct distance", " Start → End: 5508.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 27945.0 km", "Step 4: Calculate detour", " Detour = 27945.0 - 5508.9 = 22436.0 km", " Detour % = (22436.0 / 5508.9) × 100 = 407.3%", "Step 5: Determine if on route (typically < 10% detour)", " 407.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 36.80753, "lon": 10.11061, "name": "Den Den" }, "end": { "lat": 49.28669, "lon": 1.00288, "name": "Elbeuf" }, "waypoint": { "lat": 31.31716, "lon": -113.53799, "name": "Puerto Peñasco" }, "question": "Is Puerto Peñasco approximately on the direct path from Den Den to Elbeuf?", "ground_truth": { "answer": false, "direct_distance_km": 1570.0, "via_waypoint_km": 19405.9, "detour_km": 17835.9, "detour_percent": 1136.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Den Den", " End: Elbeuf", " Waypoint: Puerto Peñasco", "Step 2: Calculate direct distance", " Start → End: 1570.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19405.9 km", "Step 4: Calculate detour", " Detour = 19405.9 - 1570.0 = 17835.9 km", " Detour % = (17835.9 / 1570.0) × 100 = 1136.1%", "Step 5: Determine if on route (typically < 10% detour)", " 1136.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -31.91099, "lon": 152.45387, "name": "Taree" }, "end": { "lat": 35.27842, "lon": -93.13379, "name": "Russellville" }, "waypoint": { "lat": 43.61616, "lon": -79.51269, "name": "Mimico" }, "question": "Is Mimico approximately on the direct path from Taree to Russellville?", "ground_truth": { "answer": false, "direct_distance_km": 14041.5, "via_waypoint_km": 16835.4, "detour_km": 2793.9, "detour_percent": 19.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Taree", " End: Russellville", " Waypoint: Mimico", "Step 2: Calculate direct distance", " Start → End: 14041.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16835.4 km", "Step 4: Calculate detour", " Detour = 16835.4 - 14041.5 = 2793.9 km", " Detour % = (2793.9 / 14041.5) × 100 = 19.9%", "Step 5: Determine if on route (typically < 10% detour)", " 19.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 28.03197, "lon": -15.50425, "name": "Santa Brígida" }, "end": { "lat": -22.70556, "lon": -46.98583, "name": "Jaguariúna" }, "waypoint": { "lat": 36.35, "lon": 140.1, "name": "Iwase" }, "question": "Is Iwase approximately on the direct path from Santa Brígida to Jaguariúna?", "ground_truth": { "answer": false, "direct_distance_km": 6575.5, "via_waypoint_km": 30766.2, "detour_km": 24190.7, "detour_percent": 367.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Santa Brígida", " End: Jaguariúna", " Waypoint: Iwase", "Step 2: Calculate direct distance", " Start → End: 6575.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 30766.2 km", "Step 4: Calculate detour", " Detour = 30766.2 - 6575.5 = 24190.7 km", " Detour % = (24190.7 / 6575.5) × 100 = 367.9%", "Step 5: Determine if on route (typically < 10% detour)", " 367.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 26.33721, "lon": 31.89295, "name": "Girga" }, "end": { "lat": 55.93333, "lon": 23.31667, "name": "Šiauliai" }, "waypoint": { "lat": 45.56034, "lon": 8.94545, "name": "Parabiago" }, "question": "Is Parabiago approximately on the direct path from Girga to Šiauliai?", "ground_truth": { "answer": false, "direct_distance_km": 3362.6, "via_waypoint_km": 4479.4, "detour_km": 1116.8, "detour_percent": 33.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Girga", " End: Šiauliai", " Waypoint: Parabiago", "Step 2: Calculate direct distance", " Start → End: 3362.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 4479.4 km", "Step 4: Calculate detour", " Detour = 4479.4 - 3362.6 = 1116.8 km", " Detour % = (1116.8 / 3362.6) × 100 = 33.2%", "Step 5: Determine if on route (typically < 10% detour)", " 33.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 21.38083, "lon": -77.91694, "name": "Camagüey" }, "end": { "lat": 36.70456, "lon": 3.02462, "name": "Saoula" }, "waypoint": { "lat": 8.42194, "lon": -9.74778, "name": "Voinjama" }, "question": "Is Voinjama approximately on the direct path from Camagüey to Saoula?", "ground_truth": { "answer": false, "direct_distance_km": 7828.2, "via_waypoint_km": 10813.4, "detour_km": 2985.1, "detour_percent": 38.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Camagüey", " End: Saoula", " Waypoint: Voinjama", "Step 2: Calculate direct distance", " Start → End: 7828.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 10813.4 km", "Step 4: Calculate detour", " Detour = 10813.4 - 7828.2 = 2985.1 km", " Detour % = (2985.1 / 7828.2) × 100 = 38.1%", "Step 5: Determine if on route (typically < 10% detour)", " 38.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 21.27851, "lon": 86.68833, "name": "Soro" }, "end": { "lat": -7.85083, "lon": -35.25472, "name": "Carpina" }, "waypoint": { "lat": 40.60538, "lon": -73.75513, "name": "Far Rockaway" }, "question": "Is Far Rockaway approximately on the direct path from Soro to Carpina?", "ground_truth": { "answer": false, "direct_distance_km": 13626.3, "via_waypoint_km": 19516.5, "detour_km": 5890.2, "detour_percent": 43.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Soro", " End: Carpina", " Waypoint: Far Rockaway", "Step 2: Calculate direct distance", " Start → End: 13626.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19516.5 km", "Step 4: Calculate detour", " Detour = 19516.5 - 13626.3 = 5890.2 km", " Detour % = (5890.2 / 13626.3) × 100 = 43.2%", "Step 5: Determine if on route (typically < 10% detour)", " 43.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 6.68848, "lon": -1.62443, "name": "Kumasi" }, "end": { "lat": 52.50906, "lon": 13.5534, "name": "Biesdorf" }, "waypoint": { "lat": 8.31792, "lon": 77.19192, "name": "Kuzhithurai" }, "question": "Is Kuzhithurai approximately on the direct path from Kumasi to Biesdorf?", "ground_truth": { "answer": false, "direct_distance_km": 5279.8, "via_waypoint_km": 16185.2, "detour_km": 10905.4, "detour_percent": 206.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kumasi", " End: Biesdorf", " Waypoint: Kuzhithurai", "Step 2: Calculate direct distance", " Start → End: 5279.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16185.2 km", "Step 4: Calculate detour", " Detour = 16185.2 - 5279.8 = 10905.4 km", " Detour % = (10905.4 / 5279.8) × 100 = 206.6%", "Step 5: Determine if on route (typically < 10% detour)", " 206.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 35.65, "lon": 140.31667, "name": "Yachimata" }, "end": { "lat": 24.46861, "lon": 39.61417, "name": "Madinah" }, "waypoint": { "lat": -9.47723, "lon": 147.15089, "name": "Port Moresby" }, "question": "Is Port Moresby approximately on the direct path from Yachimata to Madinah?", "ground_truth": { "answer": false, "direct_distance_km": 9343.4, "via_waypoint_km": 17277.9, "detour_km": 7934.5, "detour_percent": 84.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Yachimata", " End: Madinah", " Waypoint: Port Moresby", "Step 2: Calculate direct distance", " Start → End: 9343.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17277.9 km", "Step 4: Calculate detour", " Detour = 17277.9 - 9343.4 = 7934.5 km", " Detour % = (7934.5 / 9343.4) × 100 = 84.9%", "Step 5: Determine if on route (typically < 10% detour)", " 84.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 8.26023, "lon": 77.17396, "name": "Painkulam" }, "end": { "lat": 38.44139, "lon": 140.87639, "name": "Yoshioka" }, "waypoint": { "lat": 2.2499, "lon": 32.89985, "name": "Lira" }, "question": "Is Lira approximately on the direct path from Painkulam to Yoshioka?", "ground_truth": { "answer": false, "direct_distance_km": 7156.4, "via_waypoint_km": 16346.4, "detour_km": 9189.9, "detour_percent": 128.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Painkulam", " End: Yoshioka", " Waypoint: Lira", "Step 2: Calculate direct distance", " Start → End: 7156.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16346.4 km", "Step 4: Calculate detour", " Detour = 16346.4 - 7156.4 = 9189.9 km", " Detour % = (9189.9 / 7156.4) × 100 = 128.4%", "Step 5: Determine if on route (typically < 10% detour)", " 128.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 33.8455, "lon": 10.11423, "name": "Teboulbou" }, "end": { "lat": 31.35573, "lon": 31.68484, "name": "Kafr Sa‘d" }, "waypoint": { "lat": 13.29452, "lon": 77.53777, "name": "Doddaballapura" }, "question": "Is Doddaballapura approximately on the direct path from Teboulbou to Kafr Sa‘d?", "ground_truth": { "answer": false, "direct_distance_km": 2035.7, "via_waypoint_km": 12197.2, "detour_km": 10161.5, "detour_percent": 499.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Teboulbou", " End: Kafr Sa‘d", " Waypoint: Doddaballapura", "Step 2: Calculate direct distance", " Start → End: 2035.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12197.2 km", "Step 4: Calculate detour", " Detour = 12197.2 - 2035.7 = 10161.5 km", " Detour % = (10161.5 / 2035.7) × 100 = 499.2%", "Step 5: Determine if on route (typically < 10% detour)", " 499.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 51.91917, "lon": 5.84167, "name": "Elst" }, "end": { "lat": 27.32734, "lon": 120.21399, "name": "Fuding" }, "waypoint": { "lat": 35.33951, "lon": -97.4867, "name": "Moore" }, "question": "Is Moore approximately on the direct path from Elst to Fuding?", "ground_truth": { "answer": false, "direct_distance_km": 9143.3, "via_waypoint_km": 19803.3, "detour_km": 10660.0, "detour_percent": 116.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Elst", " End: Fuding", " Waypoint: Moore", "Step 2: Calculate direct distance", " Start → End: 9143.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19803.3 km", "Step 4: Calculate detour", " Detour = 19803.3 - 9143.3 = 10660.0 km", " Detour % = (10660.0 / 9143.3) × 100 = 116.6%", "Step 5: Determine if on route (typically < 10% detour)", " 116.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 53.60639, "lon": 10.11972, "name": "Farmsen-Berne" }, "end": { "lat": 51.86217, "lon": 13.95168, "name": "Lubnjow" }, "waypoint": { "lat": 36.17497, "lon": -115.13722, "name": "Las Vegas" }, "question": "Is Las Vegas approximately on the direct path from Farmsen-Berne to Lubnjow?", "ground_truth": { "answer": false, "direct_distance_km": 322.7, "via_waypoint_km": 17782.1, "detour_km": 17459.4, "detour_percent": 5410.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Farmsen-Berne", " End: Lubnjow", " Waypoint: Las Vegas", "Step 2: Calculate direct distance", " Start → End: 322.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17782.1 km", "Step 4: Calculate detour", " Detour = 17782.1 - 322.7 = 17459.4 km", " Detour % = (17459.4 / 322.7) × 100 = 5410.4%", "Step 5: Determine if on route (typically < 10% detour)", " 5410.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 7.88299, "lon": -76.62587, "name": "Apartadó" }, "end": { "lat": -26.68443, "lon": 153.05705, "name": "Buderim" }, "waypoint": { "lat": 23.57769, "lon": 58.39982, "name": "Bawshar" }, "question": "Is Bawshar approximately on the direct path from Apartadó to Buderim?", "ground_truth": { "answer": false, "direct_distance_km": 14384.5, "via_waypoint_km": 25599.2, "detour_km": 11214.7, "detour_percent": 78.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Apartadó", " End: Buderim", " Waypoint: Bawshar", "Step 2: Calculate direct distance", " Start → End: 14384.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 25599.2 km", "Step 4: Calculate detour", " Detour = 25599.2 - 14384.5 = 11214.7 km", " Detour % = (11214.7 / 14384.5) × 100 = 78.0%", "Step 5: Determine if on route (typically < 10% detour)", " 78.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 0.71117, "lon": 30.06469, "name": "Bundibugyo" }, "end": { "lat": -42.87936, "lon": 147.32941, "name": "Hobart" }, "waypoint": { "lat": 33.749, "lon": -84.38798, "name": "Atlanta" }, "question": "Is Atlanta approximately on the direct path from Bundibugyo to Hobart?", "ground_truth": { "answer": false, "direct_distance_km": 12245.6, "via_waypoint_km": 27663.1, "detour_km": 15417.5, "detour_percent": 125.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Bundibugyo", " End: Hobart", " Waypoint: Atlanta", "Step 2: Calculate direct distance", " Start → End: 12245.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 27663.1 km", "Step 4: Calculate detour", " Detour = 27663.1 - 12245.6 = 15417.5 km", " Detour % = (15417.5 / 12245.6) × 100 = 125.9%", "Step 5: Determine if on route (typically < 10% detour)", " 125.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 36.44766, "lon": 10.7557, "name": "Douane" }, "end": { "lat": 10.00244, "lon": -5.90037, "name": "M’Bengué" }, "waypoint": { "lat": 28.67873, "lon": 77.27116, "name": "Jāfarābād" }, "question": "Is Jāfarābād approximately on the direct path from Douane to M’Bengué?", "ground_truth": { "answer": false, "direct_distance_km": 3385.2, "via_waypoint_km": 14987.0, "detour_km": 11601.7, "detour_percent": 342.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Douane", " End: M’Bengué", " Waypoint: Jāfarābād", "Step 2: Calculate direct distance", " Start → End: 3385.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14987.0 km", "Step 4: Calculate detour", " Detour = 14987.0 - 3385.2 = 11601.7 km", " Detour % = (11601.7 / 3385.2) × 100 = 342.7%", "Step 5: Determine if on route (typically < 10% detour)", " 342.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 36.02153, "lon": -80.382, "name": "Clemmons" }, "end": { "lat": 9.3674, "lon": -83.69713, "name": "San Isidro" }, "waypoint": { "lat": 28.59669, "lon": 81.61658, "name": "Birendranagar" }, "question": "Is Birendranagar approximately on the direct path from Clemmons to San Isidro?", "ground_truth": { "answer": false, "direct_distance_km": 2982.7, "via_waypoint_km": 28095.5, "detour_km": 25112.8, "detour_percent": 841.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Clemmons", " End: San Isidro", " Waypoint: Birendranagar", "Step 2: Calculate direct distance", " Start → End: 2982.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 28095.5 km", "Step 4: Calculate detour", " Detour = 28095.5 - 2982.7 = 25112.8 km", " Detour % = (25112.8 / 2982.7) × 100 = 841.9%", "Step 5: Determine if on route (typically < 10% detour)", " 841.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -21.59556, "lon": -48.81278, "name": "Itápolis" }, "end": { "lat": 39.61332, "lon": -105.01665, "name": "Littleton" }, "waypoint": { "lat": -12.56598, "lon": 16.22589, "name": "Catchiungo" }, "question": "Is Catchiungo approximately on the direct path from Itápolis to Littleton?", "ground_truth": { "answer": false, "direct_distance_km": 8959.5, "via_waypoint_km": 20496.9, "detour_km": 11537.4, "detour_percent": 128.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Itápolis", " End: Littleton", " Waypoint: Catchiungo", "Step 2: Calculate direct distance", " Start → End: 8959.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20496.9 km", "Step 4: Calculate detour", " Detour = 20496.9 - 8959.5 = 11537.4 km", " Detour % = (11537.4 / 8959.5) × 100 = 128.8%", "Step 5: Determine if on route (typically < 10% detour)", " 128.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 28.84209, "lon": 104.97958, "name": "Nanxi" }, "end": { "lat": 55.06959, "lon": -3.61139, "name": "Dumfries" }, "waypoint": { "lat": 59.43403, "lon": 10.65771, "name": "Moss" }, "question": "Is Moss approximately on the direct path from Nanxi to Dumfries?", "ground_truth": { "answer": true, "direct_distance_km": 8492.3, "via_waypoint_km": 8494.9, "detour_km": 2.6, "detour_percent": 0.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Nanxi", " End: Dumfries", " Waypoint: Moss", "Step 2: Calculate direct distance", " Start → End: 8492.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 8494.9 km", "Step 4: Calculate detour", " Detour = 8494.9 - 8492.3 = 2.6 km", " Detour % = (2.6 / 8492.3) × 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": -25.34604, "lon": 28.83431, "name": "Somaroboro" }, "end": { "lat": 6.04024, "lon": -0.80876, "name": "Akwatia" }, "waypoint": { "lat": 10.17389, "lon": -67.54194, "name": "Palo Negro" }, "question": "Is Palo Negro approximately on the direct path from Somaroboro to Akwatia?", "ground_truth": { "answer": false, "direct_distance_km": 4737.3, "via_waypoint_km": 18473.7, "detour_km": 13736.4, "detour_percent": 290.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Somaroboro", " End: Akwatia", " Waypoint: Palo Negro", "Step 2: Calculate direct distance", " Start → End: 4737.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18473.7 km", "Step 4: Calculate detour", " Detour = 18473.7 - 4737.3 = 13736.4 km", " Detour % = (13736.4 / 4737.3) × 100 = 290.0%", "Step 5: Determine if on route (typically < 10% detour)", " 290.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 31.55037, "lon": 105.99381, "name": "Langzhong" }, "end": { "lat": 34.58167, "lon": 119.12889, "name": "Haizhou" }, "waypoint": { "lat": -3.55, "lon": 36.1, "name": "Makuyuni" }, "question": "Is Makuyuni approximately on the direct path from Langzhong to Haizhou?", "ground_truth": { "answer": false, "direct_distance_km": 1268.5, "via_waypoint_km": 17927.7, "detour_km": 16659.2, "detour_percent": 1313.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Langzhong", " End: Haizhou", " Waypoint: Makuyuni", "Step 2: Calculate direct distance", " Start → End: 1268.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17927.7 km", "Step 4: Calculate detour", " Detour = 17927.7 - 1268.5 = 16659.2 km", " Detour % = (16659.2 / 1268.5) × 100 = 1313.3%", "Step 5: Determine if on route (typically < 10% detour)", " 1313.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 40.49367, "lon": -3.6359, "name": "Valdefuentes" }, "end": { "lat": 43.98889, "lon": 18.17806, "name": "Visoko" }, "waypoint": { "lat": 12.99809, "lon": 15.73195, "name": "Massakory" }, "question": "Is Massakory approximately on the direct path from Valdefuentes to Visoko?", "ground_truth": { "answer": false, "direct_distance_km": 1831.5, "via_waypoint_km": 7047.3, "detour_km": 5215.8, "detour_percent": 284.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Valdefuentes", " End: Visoko", " Waypoint: Massakory", "Step 2: Calculate direct distance", " Start → End: 1831.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 7047.3 km", "Step 4: Calculate detour", " Detour = 7047.3 - 1831.5 = 5215.8 km", " Detour % = (5215.8 / 1831.5) × 100 = 284.8%", "Step 5: Determine if on route (typically < 10% detour)", " 284.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 41.191, "lon": -8.70027, "name": "Leça da Palmeira" }, "end": { "lat": 51.99313, "lon": 4.47865, "name": "Berkel en Rodenrijs" }, "waypoint": { "lat": -6.22977, "lon": 155.56598, "name": "Arawa" }, "question": "Is Arawa approximately on the direct path from Leça da Palmeira to Berkel en Rodenrijs?", "ground_truth": { "answer": false, "direct_distance_km": 1562.5, "via_waypoint_km": 30104.9, "detour_km": 28542.4, "detour_percent": 1826.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Leça da Palmeira", " End: Berkel en Rodenrijs", " Waypoint: Arawa", "Step 2: Calculate direct distance", " Start → End: 1562.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 30104.9 km", "Step 4: Calculate detour", " Detour = 30104.9 - 1562.5 = 28542.4 km", " Detour % = (28542.4 / 1562.5) × 100 = 1826.7%", "Step 5: Determine if on route (typically < 10% detour)", " 1826.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 35.9, "lon": 140.08333, "name": "Toride" }, "end": { "lat": 31.28318, "lon": -4.26565, "name": "Reçani" }, "waypoint": { "lat": 45.17869, "lon": 5.71479, "name": "Grenoble" }, "question": "Is Grenoble approximately on the direct path from Toride to Reçani?", "ground_truth": { "answer": true, "direct_distance_km": 11670.3, "via_waypoint_km": 11672.4, "detour_km": 2.0, "detour_percent": 0.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Toride", " End: Reçani", " Waypoint: Grenoble", "Step 2: Calculate direct distance", " Start → End: 11670.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 11672.4 km", "Step 4: Calculate detour", " Detour = 11672.4 - 11670.3 = 2.0 km", " Detour % = (2.0 / 11670.3) × 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": 36.78222, "lon": 10.9875, "name": "Menzel Temime" }, "end": { "lat": 38.75328, "lon": -9.14397, "name": "Alvalade" }, "waypoint": { "lat": -5.17775, "lon": -40.66949, "name": "Crateús" }, "question": "Is Crateús approximately on the direct path from Menzel Temime to Alvalade?", "ground_truth": { "answer": false, "direct_distance_km": 1779.4, "via_waypoint_km": 12962.8, "detour_km": 11183.4, "detour_percent": 628.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Menzel Temime", " End: Alvalade", " Waypoint: Crateús", "Step 2: Calculate direct distance", " Start → End: 1779.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12962.8 km", "Step 4: Calculate detour", " Detour = 12962.8 - 1779.4 = 11183.4 km", " Detour % = (11183.4 / 1779.4) × 100 = 628.5%", "Step 5: Determine if on route (typically < 10% detour)", " 628.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 25.66473, "lon": 89.5026, "name": "Paotana Hat" }, "end": { "lat": -33.9125, "lon": 151.10279, "name": "Campsie" }, "waypoint": { "lat": 42.66394, "lon": 21.09611, "name": "Kosovo Polje" }, "question": "Is Kosovo Polje approximately on the direct path from Paotana Hat to Campsie?", "ground_truth": { "answer": false, "direct_distance_km": 9278.8, "via_waypoint_km": 22003.5, "detour_km": 12724.7, "detour_percent": 137.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Paotana Hat", " End: Campsie", " Waypoint: Kosovo Polje", "Step 2: Calculate direct distance", " Start → End: 9278.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22003.5 km", "Step 4: Calculate detour", " Detour = 22003.5 - 9278.8 = 12724.7 km", " Detour % = (12724.7 / 9278.8) × 100 = 137.1%", "Step 5: Determine if on route (typically < 10% detour)", " 137.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 5.01761, "lon": 115.05798, "name": "Serasa" }, "end": { "lat": 28.84459, "lon": 52.57151, "name": "Fīrūzābād" }, "waypoint": { "lat": 31.33824, "lon": -94.7291, "name": "Lufkin" }, "question": "Is Lufkin approximately on the direct path from Serasa to Fīrūzābād?", "ground_truth": { "answer": false, "direct_distance_km": 7067.4, "via_waypoint_km": 27366.6, "detour_km": 20299.3, "detour_percent": 287.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Serasa", " End: Fīrūzābād", " Waypoint: Lufkin", "Step 2: Calculate direct distance", " Start → End: 7067.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 27366.6 km", "Step 4: Calculate detour", " Detour = 27366.6 - 7067.4 = 20299.3 km", " Detour % = (20299.3 / 7067.4) × 100 = 287.2%", "Step 5: Determine if on route (typically < 10% detour)", " 287.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 55.8708, "lon": 12.83016, "name": "Landskrona" }, "end": { "lat": -11.95972, "lon": -40.16806, "name": "Baixa Grande" }, "waypoint": { "lat": 24.88352, "lon": 90.72898, "name": "Netrakona" }, "question": "Is Netrakona approximately on the direct path from Landskrona to Baixa Grande?", "ground_truth": { "answer": false, "direct_distance_km": 8991.5, "via_waypoint_km": 21668.0, "detour_km": 12676.5, "detour_percent": 141.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Landskrona", " End: Baixa Grande", " Waypoint: Netrakona", "Step 2: Calculate direct distance", " Start → End: 8991.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21668.0 km", "Step 4: Calculate detour", " Detour = 21668.0 - 8991.5 = 12676.5 km", " Detour % = (12676.5 / 8991.5) × 100 = 141.0%", "Step 5: Determine if on route (typically < 10% detour)", " 141.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 41.80114, "lon": -88.07479, "name": "Lisle" }, "end": { "lat": 41.43073, "lon": 2.21855, "name": "Sant Adrià de Besòs" }, "waypoint": { "lat": 10.39817, "lon": -75.49328, "name": "Cartagena" }, "question": "Is Cartagena approximately on the direct path from Lisle to Sant Adrià de Besòs?", "ground_truth": { "answer": false, "direct_distance_km": 7117.7, "via_waypoint_km": 11925.0, "detour_km": 4807.3, "detour_percent": 67.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Lisle", " End: Sant Adrià de Besòs", " Waypoint: Cartagena", "Step 2: Calculate direct distance", " Start → End: 7117.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 11925.0 km", "Step 4: Calculate detour", " Detour = 11925.0 - 7117.7 = 4807.3 km", " Detour % = (4807.3 / 7117.7) × 100 = 67.5%", "Step 5: Determine if on route (typically < 10% detour)", " 67.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -6.49265, "lon": -76.34224, "name": "La Banda" }, "end": { "lat": 42.55308, "lon": -87.93341, "name": "Pleasant Prairie" }, "waypoint": { "lat": 36.99136, "lon": 118.96582, "name": "Houzhen" }, "question": "Is Houzhen approximately on the direct path from La Banda to Pleasant Prairie?", "ground_truth": { "answer": false, "direct_distance_km": 5578.5, "via_waypoint_km": 27045.3, "detour_km": 21466.8, "detour_percent": 384.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: La Banda", " End: Pleasant Prairie", " Waypoint: Houzhen", "Step 2: Calculate direct distance", " Start → End: 5578.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 27045.3 km", "Step 4: Calculate detour", " Detour = 27045.3 - 5578.5 = 21466.8 km", " Detour % = (21466.8 / 5578.5) × 100 = 384.8%", "Step 5: Determine if on route (typically < 10% detour)", " 384.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -37.60075, "lon": 145.09555, "name": "Mernda" }, "end": { "lat": 45.69581, "lon": -0.32867, "name": "Cognac" }, "waypoint": { "lat": 26.59048, "lon": 86.13791, "name": "Jainagar" }, "question": "Is Jainagar approximately on the direct path from Mernda to Cognac?", "ground_truth": { "answer": true, "direct_distance_km": 17031.0, "via_waypoint_km": 17088.4, "detour_km": 57.5, "detour_percent": 0.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Mernda", " End: Cognac", " Waypoint: Jainagar", "Step 2: Calculate direct distance", " Start → End: 17031.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17088.4 km", "Step 4: Calculate detour", " Detour = 17088.4 - 17031.0 = 57.5 km", " Detour % = (57.5 / 17031.0) × 100 = 0.3%", "Step 5: Determine if on route (typically < 10% detour)", " 0.3% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 40.4976, "lon": -74.48849, "name": "Somerset" }, "end": { "lat": 4.86641, "lon": -2.24181, "name": "Esim" }, "waypoint": { "lat": -1.5584, "lon": 29.5434, "name": "Busogo" }, "question": "Is Busogo approximately on the direct path from Somerset to Esim?", "ground_truth": { "answer": false, "direct_distance_km": 8158.8, "via_waypoint_km": 14905.7, "detour_km": 6746.9, "detour_percent": 82.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Somerset", " End: Esim", " Waypoint: Busogo", "Step 2: Calculate direct distance", " Start → End: 8158.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14905.7 km", "Step 4: Calculate detour", " Detour = 14905.7 - 8158.8 = 6746.9 km", " Detour % = (6746.9 / 8158.8) × 100 = 82.7%", "Step 5: Determine if on route (typically < 10% detour)", " 82.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 4.91857, "lon": -74.02799, "name": "Cajicá" }, "end": { "lat": -5.0925, "lon": -80.1625, "name": "Chulucanas" }, "waypoint": { "lat": 8.85299, "lon": 5.41641, "name": "Lafiagi" }, "question": "Is Lafiagi approximately on the direct path from Cajicá to Chulucanas?", "ground_truth": { "answer": false, "direct_distance_km": 1305.1, "via_waypoint_km": 18377.7, "detour_km": 17072.6, "detour_percent": 1308.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Cajicá", " End: Chulucanas", " Waypoint: Lafiagi", "Step 2: Calculate direct distance", " Start → End: 1305.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18377.7 km", "Step 4: Calculate detour", " Detour = 18377.7 - 1305.1 = 17072.6 km", " Detour % = (17072.6 / 1305.1) × 100 = 1308.1%", "Step 5: Determine if on route (typically < 10% detour)", " 1308.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 41.14149, "lon": -73.3579, "name": "Westport" }, "end": { "lat": 21.08242, "lon": 106.5138, "name": "Thị Trấn Đông Triều" }, "waypoint": { "lat": -3.43944, "lon": -39.14833, "name": "Paraipaba" }, "question": "Is Paraipaba approximately on the direct path from Westport to Thị Trấn Đông Triều?", "ground_truth": { "answer": false, "direct_distance_km": 13096.1, "via_waypoint_km": 21865.4, "detour_km": 8769.3, "detour_percent": 67.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Westport", " End: Thị Trấn Đông Triều", " Waypoint: Paraipaba", "Step 2: Calculate direct distance", " Start → End: 13096.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21865.4 km", "Step 4: Calculate detour", " Detour = 21865.4 - 13096.1 = 8769.3 km", " Detour % = (8769.3 / 13096.1) × 100 = 67.0%", "Step 5: Determine if on route (typically < 10% detour)", " 67.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 42.20384, "lon": -71.00215, "name": "Braintree" }, "end": { "lat": 47.91289, "lon": 11.42166, "name": "Wolfratshausen" }, "waypoint": { "lat": 9.73647, "lon": 77.2847, "name": "Cumbum" }, "question": "Is Cumbum approximately on the direct path from Braintree to Wolfratshausen?", "ground_truth": { "answer": false, "direct_distance_km": 6189.9, "via_waypoint_km": 20814.5, "detour_km": 14624.6, "detour_percent": 236.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Braintree", " End: Wolfratshausen", " Waypoint: Cumbum", "Step 2: Calculate direct distance", " Start → End: 6189.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20814.5 km", "Step 4: Calculate detour", " Detour = 20814.5 - 6189.9 = 14624.6 km", " Detour % = (14624.6 / 6189.9) × 100 = 236.3%", "Step 5: Determine if on route (typically < 10% detour)", " 236.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 14.42922, "lon": 120.87989, "name": "Noveleta" }, "end": { "lat": 7.5, "lon": 126.0, "name": "San Mariano" }, "waypoint": { "lat": 38.68574, "lon": -121.37217, "name": "North Highlands" }, "question": "Is North Highlands approximately on the direct path from Noveleta to San Mariano?", "ground_truth": { "answer": false, "direct_distance_km": 951.7, "via_waypoint_km": 22661.5, "detour_km": 21709.8, "detour_percent": 2281.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Noveleta", " End: San Mariano", " Waypoint: North Highlands", "Step 2: Calculate direct distance", " Start → End: 951.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22661.5 km", "Step 4: Calculate detour", " Detour = 22661.5 - 951.7 = 21709.8 km", " Detour % = (21709.8 / 951.7) × 100 = 2281.3%", "Step 5: Determine if on route (typically < 10% detour)", " 2281.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -3.68611, "lon": -40.34972, "name": "Sobral" }, "end": { "lat": -20.67182, "lon": -40.50196, "name": "Guarapari" }, "waypoint": { "lat": -9.44203, "lon": 159.98877, "name": "Vura" }, "question": "Is Vura approximately on the direct path from Sobral to Guarapari?", "ground_truth": { "answer": false, "direct_distance_km": 1888.8, "via_waypoint_km": 33316.3, "detour_km": 31427.5, "detour_percent": 1663.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Sobral", " End: Guarapari", " Waypoint: Vura", "Step 2: Calculate direct distance", " Start → End: 1888.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 33316.3 km", "Step 4: Calculate detour", " Detour = 33316.3 - 1888.8 = 31427.5 km", " Detour % = (31427.5 / 1888.8) × 100 = 1663.9%", "Step 5: Determine if on route (typically < 10% detour)", " 1663.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 23.82733, "lon": -103.03408, "name": "Río Grande" }, "end": { "lat": 55.6194, "lon": -4.65508, "name": "Irvine" }, "waypoint": { "lat": 29.10408, "lon": 70.32969, "name": "Rajanpur" }, "question": "Is Rajanpur approximately on the direct path from Río Grande to Irvine?", "ground_truth": { "answer": false, "direct_distance_km": 8344.1, "via_waypoint_km": 20541.1, "detour_km": 12196.9, "detour_percent": 146.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Río Grande", " End: Irvine", " Waypoint: Rajanpur", "Step 2: Calculate direct distance", " Start → End: 8344.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20541.1 km", "Step 4: Calculate detour", " Detour = 20541.1 - 8344.1 = 12196.9 km", " Detour % = (12196.9 / 8344.1) × 100 = 146.2%", "Step 5: Determine if on route (typically < 10% detour)", " 146.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 14.0012, "lon": 32.3116, "name": "Ad Douiem" }, "end": { "lat": -16.2525, "lon": -47.95028, "name": "Luziânia" }, "waypoint": { "lat": 43.63675, "lon": 1.38971, "name": "Blagnac" }, "question": "Is Blagnac approximately on the direct path from Ad Douiem to Luziânia?", "ground_truth": { "answer": false, "direct_distance_km": 9434.3, "via_waypoint_km": 12749.2, "detour_km": 3314.9, "detour_percent": 35.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ad Douiem", " End: Luziânia", " Waypoint: Blagnac", "Step 2: Calculate direct distance", " Start → End: 9434.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12749.2 km", "Step 4: Calculate detour", " Detour = 12749.2 - 9434.3 = 3314.9 km", " Detour % = (3314.9 / 9434.3) × 100 = 35.1%", "Step 5: Determine if on route (typically < 10% detour)", " 35.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 40.69149, "lon": -73.80569, "name": "Jamaica" }, "end": { "lat": 36.41657, "lon": 1.19616, "name": "Abou el Hassan" }, "waypoint": { "lat": 12.85507, "lon": 77.66707, "name": "koppana Agrahara" }, "question": "Is koppana Agrahara approximately on the direct path from Jamaica to Abou el Hassan?", "ground_truth": { "answer": false, "direct_distance_km": 6335.7, "via_waypoint_km": 21337.7, "detour_km": 15002.0, "detour_percent": 236.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Jamaica", " End: Abou el Hassan", " Waypoint: koppana Agrahara", "Step 2: Calculate direct distance", " Start → End: 6335.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21337.7 km", "Step 4: Calculate detour", " Detour = 21337.7 - 6335.7 = 15002.0 km", " Detour % = (15002.0 / 6335.7) × 100 = 236.8%", "Step 5: Determine if on route (typically < 10% detour)", " 236.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -19.96722, "lon": -43.80417, "name": "Raposos" }, "end": { "lat": 3.17301, "lon": -76.26275, "name": "Corinto" }, "waypoint": { "lat": 12.91944, "lon": 80.16972, "name": "Rajakilpakkam" }, "question": "Is Rajakilpakkam approximately on the direct path from Raposos to Corinto?", "ground_truth": { "answer": false, "direct_distance_km": 4379.0, "via_waypoint_km": 30871.5, "detour_km": 26492.5, "detour_percent": 605.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Raposos", " End: Corinto", " Waypoint: Rajakilpakkam", "Step 2: Calculate direct distance", " Start → End: 4379.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 30871.5 km", "Step 4: Calculate detour", " Detour = 30871.5 - 4379.0 = 26492.5 km", " Detour % = (26492.5 / 4379.0) × 100 = 605.0%", "Step 5: Determine if on route (typically < 10% detour)", " 605.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 27.57429, "lon": 81.59474, "name": "Bahraigh" }, "end": { "lat": 31.02819, "lon": 28.44498, "name": "El Dabaa" }, "waypoint": { "lat": 29.74409, "lon": -7.973, "name": "Tata" }, "question": "Is Tata approximately on the direct path from Bahraigh to El Dabaa?", "ground_truth": { "answer": false, "direct_distance_km": 5119.5, "via_waypoint_km": 11973.7, "detour_km": 6854.2, "detour_percent": 133.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Bahraigh", " End: El Dabaa", " Waypoint: Tata", "Step 2: Calculate direct distance", " Start → End: 5119.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 11973.7 km", "Step 4: Calculate detour", " Detour = 11973.7 - 5119.5 = 6854.2 km", " Detour % = (6854.2 / 5119.5) × 100 = 133.9%", "Step 5: Determine if on route (typically < 10% detour)", " 133.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -25.29528, "lon": -54.09389, "name": "Medianeira" }, "end": { "lat": -38.03333, "lon": 145.35, "name": "Berwick" }, "waypoint": { "lat": -14.80306, "lon": 36.53722, "name": "Cuamba" }, "question": "Is Cuamba approximately on the direct path from Medianeira to Berwick?", "ground_truth": { "answer": false, "direct_distance_km": 12686.8, "via_waypoint_km": 19942.2, "detour_km": 7255.4, "detour_percent": 57.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Medianeira", " End: Berwick", " Waypoint: Cuamba", "Step 2: Calculate direct distance", " Start → End: 12686.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19942.2 km", "Step 4: Calculate detour", " Detour = 19942.2 - 12686.8 = 7255.4 km", " Detour % = (7255.4 / 12686.8) × 100 = 57.2%", "Step 5: Determine if on route (typically < 10% detour)", " 57.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 41.38978, "lon": -81.44123, "name": "Solon" }, "end": { "lat": 44.27804, "lon": -88.27205, "name": "Kaukauna" }, "waypoint": { "lat": 9.60684, "lon": 76.50055, "name": "Aymanam" }, "question": "Is Aymanam approximately on the direct path from Solon to Kaukauna?", "ground_truth": { "answer": false, "direct_distance_km": 642.6, "via_waypoint_km": 27742.2, "detour_km": 27099.5, "detour_percent": 4216.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Solon", " End: Kaukauna", " Waypoint: Aymanam", "Step 2: Calculate direct distance", " Start → End: 642.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 27742.2 km", "Step 4: Calculate detour", " Detour = 27742.2 - 642.6 = 27099.5 km", " Detour % = (27099.5 / 642.6) × 100 = 4216.9%", "Step 5: Determine if on route (typically < 10% detour)", " 4216.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 33.6095, "lon": 48.9307, "name": "Aznā" }, "end": { "lat": -37.66667, "lon": 145.06667, "name": "Mill Park" }, "waypoint": { "lat": 40.74482, "lon": -73.94875, "name": "Long Island City" }, "question": "Is Long Island City approximately on the direct path from Aznā to Mill Park?", "ground_truth": { "answer": false, "direct_distance_km": 12690.0, "via_waypoint_km": 26551.8, "detour_km": 13861.8, "detour_percent": 109.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Aznā", " End: Mill Park", " Waypoint: Long Island City", "Step 2: Calculate direct distance", " Start → End: 12690.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 26551.8 km", "Step 4: Calculate detour", " Detour = 26551.8 - 12690.0 = 13861.8 km", " Detour % = (13861.8 / 12690.0) × 100 = 109.2%", "Step 5: Determine if on route (typically < 10% detour)", " 109.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -8.00667, "lon": -36.05667, "name": "Toritama" }, "end": { "lat": -7.57611, "lon": -40.49833, "name": "Araripina" }, "waypoint": { "lat": 44.50218, "lon": 34.16624, "name": "Yalta" }, "question": "Is Yalta approximately on the direct path from Toritama to Araripina?", "ground_truth": { "answer": false, "direct_distance_km": 491.7, "via_waypoint_km": 18508.2, "detour_km": 18016.5, "detour_percent": 3664.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Toritama", " End: Araripina", " Waypoint: Yalta", "Step 2: Calculate direct distance", " Start → End: 491.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18508.2 km", "Step 4: Calculate detour", " Detour = 18508.2 - 491.7 = 18016.5 km", " Detour % = (18016.5 / 491.7) × 100 = 3664.4%", "Step 5: Determine if on route (typically < 10% detour)", " 3664.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 39.98483, "lon": -75.14712, "name": "Hartranft" }, "end": { "lat": -29.68861, "lon": -51.46111, "name": "Montenegro" }, "waypoint": { "lat": -24.78927, "lon": -50.01225, "name": "Castro" }, "question": "Is Castro approximately on the direct path from Hartranft to Montenegro?", "ground_truth": { "answer": true, "direct_distance_km": 8124.4, "via_waypoint_km": 8222.4, "detour_km": 98.0, "detour_percent": 1.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Hartranft", " End: Montenegro", " Waypoint: Castro", "Step 2: Calculate direct distance", " Start → End: 8124.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 8222.4 km", "Step 4: Calculate detour", " Detour = 8222.4 - 8124.4 = 98.0 km", " Detour % = (98.0 / 8124.4) × 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": -12.06982, "lon": -77.04495, "name": "Jesus Maria" }, "end": { "lat": 6.36536, "lon": 2.41833, "name": "Cotonou" }, "waypoint": { "lat": 49.765, "lon": 8.65194, "name": "Seeheim-Jugenheim" }, "question": "Is Seeheim-Jugenheim approximately on the direct path from Jesus Maria to Cotonou?", "ground_truth": { "answer": false, "direct_distance_km": 9019.0, "via_waypoint_km": 15585.0, "detour_km": 6566.0, "detour_percent": 72.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Jesus Maria", " End: Cotonou", " Waypoint: Seeheim-Jugenheim", "Step 2: Calculate direct distance", " Start → End: 9019.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15585.0 km", "Step 4: Calculate detour", " Detour = 15585.0 - 9019.0 = 6566.0 km", " Detour % = (6566.0 / 9019.0) × 100 = 72.8%", "Step 5: Determine if on route (typically < 10% detour)", " 72.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 16.50461, "lon": 75.29146, "name": "Jamkhandi" }, "end": { "lat": -23.81305, "lon": -64.79353, "name": "Libertador General San Martín" }, "waypoint": { "lat": -20.25694, "lon": -47.47667, "name": "Pedregulho" }, "question": "Is Pedregulho approximately on the direct path from Jamkhandi to Libertador General San Martín?", "ground_truth": { "answer": true, "direct_distance_km": 15784.3, "via_waypoint_km": 15817.1, "detour_km": 32.8, "detour_percent": 0.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Jamkhandi", " End: Libertador General San Martín", " Waypoint: Pedregulho", "Step 2: Calculate direct distance", " Start → End: 15784.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15817.1 km", "Step 4: Calculate detour", " Detour = 15817.1 - 15784.3 = 32.8 km", " Detour % = (32.8 / 15784.3) × 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": -16.47583, "lon": -43.48833, "name": "Francisco Sá" }, "end": { "lat": 10.44333, "lon": -71.64722, "name": "Chiquinquirá" }, "waypoint": { "lat": -32.081, "lon": 116.0054, "name": "Gosnells" }, "question": "Is Gosnells approximately on the direct path from Francisco Sá to Chiquinquirá?", "ground_truth": { "answer": false, "direct_distance_km": 4307.3, "via_waypoint_km": 31674.4, "detour_km": 27367.1, "detour_percent": 635.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Francisco Sá", " End: Chiquinquirá", " Waypoint: Gosnells", "Step 2: Calculate direct distance", " Start → End: 4307.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 31674.4 km", "Step 4: Calculate detour", " Detour = 31674.4 - 4307.3 = 27367.1 km", " Detour % = (27367.1 / 4307.3) × 100 = 635.4%", "Step 5: Determine if on route (typically < 10% detour)", " 635.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 26.64661, "lon": 77.61634, "name": "Bāri" }, "end": { "lat": 3.7899, "lon": 101.857, "name": "Raub" }, "waypoint": { "lat": 20.51875, "lon": -13.04637, "name": "Atar" }, "question": "Is Atar approximately on the direct path from Bāri to Raub?", "ground_truth": { "answer": false, "direct_distance_km": 3620.3, "via_waypoint_km": 21488.8, "detour_km": 17868.5, "detour_percent": 493.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Bāri", " End: Raub", " Waypoint: Atar", "Step 2: Calculate direct distance", " Start → End: 3620.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21488.8 km", "Step 4: Calculate detour", " Detour = 21488.8 - 3620.3 = 17868.5 km", " Detour % = (17868.5 / 3620.3) × 100 = 493.6%", "Step 5: Determine if on route (typically < 10% detour)", " 493.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 48.35022, "lon": 39.72698, "name": "Sukhodilsk" }, "end": { "lat": 29.85653, "lon": 106.8448, "name": "Tongjing" }, "waypoint": { "lat": 5.14079, "lon": 10.52535, "name": "Bangangté" }, "question": "Is Bangangté approximately on the direct path from Sukhodilsk to Tongjing?", "ground_truth": { "answer": false, "direct_distance_km": 5938.8, "via_waypoint_km": 15872.8, "detour_km": 9934.0, "detour_percent": 167.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Sukhodilsk", " End: Tongjing", " Waypoint: Bangangté", "Step 2: Calculate direct distance", " Start → End: 5938.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15872.8 km", "Step 4: Calculate detour", " Detour = 15872.8 - 5938.8 = 9934.0 km", " Detour % = (9934.0 / 5938.8) × 100 = 167.3%", "Step 5: Determine if on route (typically < 10% detour)", " 167.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 52.53878, "lon": 13.42443, "name": "Prenzlauer Berg" }, "end": { "lat": -1.9275, "lon": 18.2881, "name": "Inongo" }, "waypoint": { "lat": 7.06205, "lon": 38.47635, "name": "Awasa" }, "question": "Is Awasa approximately on the direct path from Prenzlauer Berg to Inongo?", "ground_truth": { "answer": false, "direct_distance_km": 6073.5, "via_waypoint_km": 7999.3, "detour_km": 1925.8, "detour_percent": 31.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Prenzlauer Berg", " End: Inongo", " Waypoint: Awasa", "Step 2: Calculate direct distance", " Start → End: 6073.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 7999.3 km", "Step 4: Calculate detour", " Detour = 7999.3 - 6073.5 = 1925.8 km", " Detour % = (1925.8 / 6073.5) × 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": 52.53048, "lon": 13.29371, "name": "Charlottenburg-Nord" }, "end": { "lat": 1.43806, "lon": 103.82667, "name": "Sungai Simpang" }, "waypoint": { "lat": -21.26235, "lon": -63.46903, "name": "Villamontes" }, "question": "Is Villamontes approximately on the direct path from Charlottenburg-Nord to Sungai Simpang?", "ground_truth": { "answer": false, "direct_distance_km": 9916.7, "via_waypoint_km": 28434.3, "detour_km": 18517.6, "detour_percent": 186.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Charlottenburg-Nord", " End: Sungai Simpang", " Waypoint: Villamontes", "Step 2: Calculate direct distance", " Start → End: 9916.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 28434.3 km", "Step 4: Calculate detour", " Detour = 28434.3 - 9916.7 = 18517.6 km", " Detour % = (18517.6 / 9916.7) × 100 = 186.7%", "Step 5: Determine if on route (typically < 10% detour)", " 186.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 11.0129, "lon": 104.67292, "name": "Ângk Tasaôm" }, "end": { "lat": 43.48451, "lon": -8.23293, "name": "Ferrol" }, "waypoint": { "lat": -34.43333, "lon": -71.08333, "name": "San Vicente" }, "question": "Is San Vicente approximately on the direct path from Ângk Tasaôm to Ferrol?", "ground_truth": { "answer": false, "direct_distance_km": 10939.4, "via_waypoint_km": 28124.0, "detour_km": 17184.6, "detour_percent": 157.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ângk Tasaôm", " End: Ferrol", " Waypoint: San Vicente", "Step 2: Calculate direct distance", " Start → End: 10939.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 28124.0 km", "Step 4: Calculate detour", " Detour = 28124.0 - 10939.4 = 17184.6 km", " Detour % = (17184.6 / 10939.4) × 100 = 157.1%", "Step 5: Determine if on route (typically < 10% detour)", " 157.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 27.36173, "lon": 93.03991, "name": "Seppa" }, "end": { "lat": -4.57194, "lon": -44.62083, "name": "Trizidela do Vale" }, "waypoint": { "lat": 25.04389, "lon": -105.41917, "name": "Santiago Papasquiaro" }, "question": "Is Santiago Papasquiaro approximately on the direct path from Seppa to Trizidela do Vale?", "ground_truth": { "answer": false, "direct_distance_km": 14868.0, "via_waypoint_km": 21199.2, "detour_km": 6331.3, "detour_percent": 42.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Seppa", " End: Trizidela do Vale", " Waypoint: Santiago Papasquiaro", "Step 2: Calculate direct distance", " Start → End: 14868.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21199.2 km", "Step 4: Calculate detour", " Detour = 21199.2 - 14868.0 = 6331.3 km", " Detour % = (6331.3 / 14868.0) × 100 = 42.6%", "Step 5: Determine if on route (typically < 10% detour)", " 42.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 39.35766, "lon": 41.69253, "name": "Hınıs" }, "end": { "lat": 14.79278, "lon": 120.87889, "name": "Bulacan" }, "waypoint": { "lat": -23.36417, "lon": -46.74056, "name": "Caieiras" }, "question": "Is Caieiras approximately on the direct path from Hınıs to Bulacan?", "ground_truth": { "answer": false, "direct_distance_km": 8051.8, "via_waypoint_km": 29903.6, "detour_km": 21851.8, "detour_percent": 271.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Hınıs", " End: Bulacan", " Waypoint: Caieiras", "Step 2: Calculate direct distance", " Start → End: 8051.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 29903.6 km", "Step 4: Calculate detour", " Detour = 29903.6 - 8051.8 = 21851.8 km", " Detour % = (21851.8 / 8051.8) × 100 = 271.4%", "Step 5: Determine if on route (typically < 10% detour)", " 271.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 39.41902, "lon": 67.26118, "name": "Urgut Shahri" }, "end": { "lat": 8.18278, "lon": 124.17701, "name": "Boroon" }, "waypoint": { "lat": -23.35611, "lon": -46.87694, "name": "Cajamar" }, "question": "Is Cajamar approximately on the direct path from Urgut Shahri to Boroon?", "ground_truth": { "answer": false, "direct_distance_km": 6614.3, "via_waypoint_km": 31732.1, "detour_km": 25117.8, "detour_percent": 379.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Urgut Shahri", " End: Boroon", " Waypoint: Cajamar", "Step 2: Calculate direct distance", " Start → End: 6614.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 31732.1 km", "Step 4: Calculate detour", " Detour = 31732.1 - 6614.3 = 25117.8 km", " Detour % = (25117.8 / 6614.3) × 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": -28.44776, "lon": 21.25612, "name": "Upington" }, "end": { "lat": 5.53449, "lon": -0.41679, "name": "Kasoa" }, "waypoint": { "lat": 18.8405, "lon": 36.8351, "name": "Sinkat" }, "question": "Is Sinkat approximately on the direct path from Upington to Kasoa?", "ground_truth": { "answer": false, "direct_distance_km": 4434.9, "via_waypoint_km": 9816.2, "detour_km": 5381.3, "detour_percent": 121.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Upington", " End: Kasoa", " Waypoint: Sinkat", "Step 2: Calculate direct distance", " Start → End: 4434.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 9816.2 km", "Step 4: Calculate detour", " Detour = 9816.2 - 4434.9 = 5381.3 km", " Detour % = (5381.3 / 4434.9) × 100 = 121.3%", "Step 5: Determine if on route (typically < 10% detour)", " 121.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -27.96724, "lon": 153.39796, "name": "Southport" }, "end": { "lat": -23.30246, "lon": 30.71868, "name": "Giyani" }, "waypoint": { "lat": 37.64292, "lon": -77.50887, "name": "Laurel" }, "question": "Is Laurel approximately on the direct path from Southport to Giyani?", "ground_truth": { "answer": false, "direct_distance_km": 11633.6, "via_waypoint_km": 28315.2, "detour_km": 16681.6, "detour_percent": 143.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Southport", " End: Giyani", " Waypoint: Laurel", "Step 2: Calculate direct distance", " Start → End: 11633.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 28315.2 km", "Step 4: Calculate detour", " Detour = 28315.2 - 11633.6 = 16681.6 km", " Detour % = (16681.6 / 11633.6) × 100 = 143.4%", "Step 5: Determine if on route (typically < 10% detour)", " 143.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 14.40076, "lon": 37.93399, "name": "Sheraro" }, "end": { "lat": -32.77477, "lon": 26.63376, "name": "Fort Beaufort" }, "waypoint": { "lat": -22.73944, "lon": -45.59139, "name": "Campos do Jordão" }, "question": "Is Campos do Jordão approximately on the direct path from Sheraro to Fort Beaufort?", "ground_truth": { "answer": false, "direct_distance_km": 5381.5, "via_waypoint_km": 17040.7, "detour_km": 11659.2, "detour_percent": 216.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Sheraro", " End: Fort Beaufort", " Waypoint: Campos do Jordão", "Step 2: Calculate direct distance", " Start → End: 5381.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17040.7 km", "Step 4: Calculate detour", " Detour = 17040.7 - 5381.5 = 11659.2 km", " Detour % = (11659.2 / 5381.5) × 100 = 216.7%", "Step 5: Determine if on route (typically < 10% detour)", " 216.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 27.36173, "lon": 93.03991, "name": "Seppa" }, "end": { "lat": 37.31309, "lon": 40.74357, "name": "Mardin" }, "waypoint": { "lat": 32.90046, "lon": -6.77464, "name": "Boujniba" }, "question": "Is Boujniba approximately on the direct path from Seppa to Mardin?", "ground_truth": { "answer": false, "direct_distance_km": 4972.3, "via_waypoint_km": 13530.0, "detour_km": 8557.7, "detour_percent": 172.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Seppa", " End: Mardin", " Waypoint: Boujniba", "Step 2: Calculate direct distance", " Start → End: 4972.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13530.0 km", "Step 4: Calculate detour", " Detour = 13530.0 - 4972.3 = 8557.7 km", " Detour % = (8557.7 / 4972.3) × 100 = 172.1%", "Step 5: Determine if on route (typically < 10% detour)", " 172.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 10.06615, "lon": 78.76784, "name": "Kāraikkudi" }, "end": { "lat": 51.37819, "lon": 10.13744, "name": "Heilbad Heiligenstadt" }, "waypoint": { "lat": -31.29368, "lon": -64.2977, "name": "Villa Allende" }, "question": "Is Villa Allende approximately on the direct path from Kāraikkudi to Heilbad Heiligenstadt?", "ground_truth": { "answer": false, "direct_distance_km": 7657.9, "via_waypoint_km": 27241.3, "detour_km": 19583.4, "detour_percent": 255.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kāraikkudi", " End: Heilbad Heiligenstadt", " Waypoint: Villa Allende", "Step 2: Calculate direct distance", " Start → End: 7657.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 27241.3 km", "Step 4: Calculate detour", " Detour = 27241.3 - 7657.9 = 19583.4 km", " Detour % = (19583.4 / 7657.9) × 100 = 255.7%", "Step 5: Determine if on route (typically < 10% detour)", " 255.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 9.21554, "lon": -66.00734, "name": "Valle de La Pascua" }, "end": { "lat": -27.58504, "lon": -56.68707, "name": "Ituzaingó" }, "waypoint": { "lat": 32.15512, "lon": 71.26631, "name": "Kalur Kot" }, "question": "Is Kalur Kot approximately on the direct path from Valle de La Pascua to Ituzaingó?", "ground_truth": { "answer": false, "direct_distance_km": 4213.3, "via_waypoint_km": 28575.2, "detour_km": 24361.8, "detour_percent": 578.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Valle de La Pascua", " End: Ituzaingó", " Waypoint: Kalur Kot", "Step 2: Calculate direct distance", " Start → End: 4213.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 28575.2 km", "Step 4: Calculate detour", " Detour = 28575.2 - 4213.3 = 24361.8 km", " Detour % = (24361.8 / 4213.3) × 100 = 578.2%", "Step 5: Determine if on route (typically < 10% detour)", " 578.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 4.3324, "lon": -75.82665, "name": "Caicedonia" }, "end": { "lat": 8.71364, "lon": -71.44421, "name": "La Azulita" }, "waypoint": { "lat": -1.85, "lon": 34.7, "name": "Mugumu" }, "question": "Is Mugumu approximately on the direct path from Caicedonia to La Azulita?", "ground_truth": { "answer": false, "direct_distance_km": 686.7, "via_waypoint_km": 24111.4, "detour_km": 23424.7, "detour_percent": 3411.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Caicedonia", " End: La Azulita", " Waypoint: Mugumu", "Step 2: Calculate direct distance", " Start → End: 686.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24111.4 km", "Step 4: Calculate detour", " Detour = 24111.4 - 686.7 = 23424.7 km", " Detour % = (23424.7 / 686.7) × 100 = 3411.0%", "Step 5: Determine if on route (typically < 10% detour)", " 3411.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 19.36906, "lon": -98.94935, "name": "Magdalena Atlicpac" }, "end": { "lat": 20.33333, "lon": -104.5, "name": "El Salto" }, "waypoint": { "lat": 8.939, "lon": 4.78227, "name": "Bode Saadu" }, "question": "Is Bode Saadu approximately on the direct path from Magdalena Atlicpac to El Salto?", "ground_truth": { "answer": false, "direct_distance_km": 590.3, "via_waypoint_km": 22723.7, "detour_km": 22133.4, "detour_percent": 3749.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Magdalena Atlicpac", " End: El Salto", " Waypoint: Bode Saadu", "Step 2: Calculate direct distance", " Start → End: 590.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22723.7 km", "Step 4: Calculate detour", " Detour = 22723.7 - 590.3 = 22133.4 km", " Detour % = (22133.4 / 590.3) × 100 = 3749.4%", "Step 5: Determine if on route (typically < 10% detour)", " 3749.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 41.9146, "lon": -88.06486, "name": "Glendale Heights" }, "end": { "lat": 26.21286, "lon": -80.24977, "name": "Tamarac" }, "waypoint": { "lat": -22.74694, "lon": -41.88167, "name": "Armação dos Búzios" }, "question": "Is Armação dos Búzios approximately on the direct path from Glendale Heights to Tamarac?", "ground_truth": { "answer": false, "direct_distance_km": 1886.4, "via_waypoint_km": 15448.1, "detour_km": 13561.6, "detour_percent": 718.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Glendale Heights", " End: Tamarac", " Waypoint: Armação dos Búzios", "Step 2: Calculate direct distance", " Start → End: 1886.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15448.1 km", "Step 4: Calculate detour", " Detour = 15448.1 - 1886.4 = 13561.6 km", " Detour % = (13561.6 / 1886.4) × 100 = 718.9%", "Step 5: Determine if on route (typically < 10% detour)", " 718.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 14.32517, "lon": 99.51467, "name": "Bo Phloi" }, "end": { "lat": 41.82392, "lon": -87.85173, "name": "Brookfield" }, "waypoint": { "lat": -7.28083, "lon": -35.60444, "name": "Ingá" }, "question": "Is Ingá approximately on the direct path from Bo Phloi to Brookfield?", "ground_truth": { "answer": false, "direct_distance_km": 13726.0, "via_waypoint_km": 22665.0, "detour_km": 8939.0, "detour_percent": 65.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Bo Phloi", " End: Brookfield", " Waypoint: Ingá", "Step 2: Calculate direct distance", " Start → End: 13726.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22665.0 km", "Step 4: Calculate detour", " Detour = 22665.0 - 13726.0 = 8939.0 km", " Detour % = (8939.0 / 13726.0) × 100 = 65.1%", "Step 5: Determine if on route (typically < 10% detour)", " 65.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 36.64022, "lon": 4.90131, "name": "Amizour" }, "end": { "lat": -26.81298, "lon": -65.29543, "name": "Yerba Buena" }, "waypoint": { "lat": 48.67922, "lon": 17.36697, "name": "Senica" }, "question": "Is Senica approximately on the direct path from Amizour to Yerba Buena?", "ground_truth": { "answer": false, "direct_distance_km": 10176.9, "via_waypoint_km": 13384.4, "detour_km": 3207.5, "detour_percent": 31.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Amizour", " End: Yerba Buena", " Waypoint: Senica", "Step 2: Calculate direct distance", " Start → End: 10176.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13384.4 km", "Step 4: Calculate detour", " Detour = 13384.4 - 10176.9 = 3207.5 km", " Detour % = (3207.5 / 10176.9) × 100 = 31.5%", "Step 5: Determine if on route (typically < 10% detour)", " 31.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 32.11406, "lon": 34.97624, "name": "Kafr Qāsim" }, "end": { "lat": 15.46253, "lon": 45.32581, "name": "Ma'rib" }, "waypoint": { "lat": 51.66444, "lon": -3.25611, "name": "Gelligaer" }, "question": "Is Gelligaer approximately on the direct path from Kafr Qāsim to Ma'rib?", "ground_truth": { "answer": false, "direct_distance_km": 2127.0, "via_waypoint_km": 9644.5, "detour_km": 7517.5, "detour_percent": 353.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kafr Qāsim", " End: Ma'rib", " Waypoint: Gelligaer", "Step 2: Calculate direct distance", " Start → End: 2127.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 9644.5 km", "Step 4: Calculate detour", " Detour = 9644.5 - 2127.0 = 7517.5 km", " Detour % = (7517.5 / 2127.0) × 100 = 353.4%", "Step 5: Determine if on route (typically < 10% detour)", " 353.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -32.03077, "lon": -60.30619, "name": "Crespo" }, "end": { "lat": 40.3935, "lon": -3.71196, "name": "Comillas" }, "waypoint": { "lat": 61.31242, "lon": 47.14829, "name": "Koryazhma" }, "question": "Is Koryazhma approximately on the direct path from Crespo to Comillas?", "ground_truth": { "answer": false, "direct_distance_km": 9932.5, "via_waypoint_km": 18114.6, "detour_km": 8182.2, "detour_percent": 82.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Crespo", " End: Comillas", " Waypoint: Koryazhma", "Step 2: Calculate direct distance", " Start → End: 9932.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18114.6 km", "Step 4: Calculate detour", " Detour = 18114.6 - 9932.5 = 8182.2 km", " Detour % = (8182.2 / 9932.5) × 100 = 82.4%", "Step 5: Determine if on route (typically < 10% detour)", " 82.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 27.51587, "lon": -97.85611, "name": "Kingsville" }, "end": { "lat": 38.13708, "lon": 41.00817, "name": "Silvan" }, "waypoint": { "lat": 35.82539, "lon": 10.63699, "name": "Sousse" }, "question": "Is Sousse approximately on the direct path from Kingsville to Silvan?", "ground_truth": { "answer": true, "direct_distance_km": 11552.1, "via_waypoint_km": 12435.7, "detour_km": 883.6, "detour_percent": 7.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kingsville", " End: Silvan", " Waypoint: Sousse", "Step 2: Calculate direct distance", " Start → End: 11552.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12435.7 km", "Step 4: Calculate detour", " Detour = 12435.7 - 11552.1 = 883.6 km", " Detour % = (883.6 / 11552.1) × 100 = 7.6%", "Step 5: Determine if on route (typically < 10% detour)", " 7.6% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -29.55028, "lon": -55.13111, "name": "São Francisco de Assis" }, "end": { "lat": -8.66043, "lon": 29.16142, "name": "Chiengi" }, "waypoint": { "lat": 49.00937, "lon": 8.40444, "name": "Karlsruhe" }, "question": "Is Karlsruhe approximately on the direct path from São Francisco de Assis to Chiengi?", "ground_truth": { "answer": false, "direct_distance_km": 8985.1, "via_waypoint_km": 17486.1, "detour_km": 8501.0, "detour_percent": 94.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: São Francisco de Assis", " End: Chiengi", " Waypoint: Karlsruhe", "Step 2: Calculate direct distance", " Start → End: 8985.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17486.1 km", "Step 4: Calculate detour", " Detour = 17486.1 - 8985.1 = 8501.0 km", " Detour % = (8501.0 / 8985.1) × 100 = 94.6%", "Step 5: Determine if on route (typically < 10% detour)", " 94.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 10.60772, "lon": 78.42582, "name": "Manapparai" }, "end": { "lat": -31.44957, "lon": -60.93153, "name": "Esperanza" }, "waypoint": { "lat": 38.09639, "lon": -3.77786, "name": "Bailén" }, "question": "Is Bailén approximately on the direct path from Manapparai to Esperanza?", "ground_truth": { "answer": false, "direct_distance_km": 15242.6, "via_waypoint_km": 18342.5, "detour_km": 3099.9, "detour_percent": 20.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Manapparai", " End: Esperanza", " Waypoint: Bailén", "Step 2: Calculate direct distance", " Start → End: 15242.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18342.5 km", "Step 4: Calculate detour", " Detour = 18342.5 - 15242.6 = 3099.9 km", " Detour % = (3099.9 / 15242.6) × 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": -34.52381, "lon": -56.28215, "name": "Canelones" }, "end": { "lat": 12.77515, "lon": 14.55328, "name": "Blangwa" }, "waypoint": { "lat": 13.78528, "lon": 100.66958, "name": "Bueng Kum" }, "question": "Is Bueng Kum approximately on the direct path from Canelones to Blangwa?", "ground_truth": { "answer": false, "direct_distance_km": 9122.6, "via_waypoint_km": 26008.9, "detour_km": 16886.3, "detour_percent": 185.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Canelones", " End: Blangwa", " Waypoint: Bueng Kum", "Step 2: Calculate direct distance", " Start → End: 9122.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 26008.9 km", "Step 4: Calculate detour", " Detour = 26008.9 - 9122.6 = 16886.3 km", " Detour % = (16886.3 / 9122.6) × 100 = 185.1%", "Step 5: Determine if on route (typically < 10% detour)", " 185.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 49.1, "lon": -121.96667, "name": "Vedder Crossing" }, "end": { "lat": 33.96529, "lon": -118.15146, "name": "Bell Gardens" }, "waypoint": { "lat": 51.50949, "lon": -0.59541, "name": "Slough" }, "question": "Is Slough approximately on the direct path from Vedder Crossing to Bell Gardens?", "ground_truth": { "answer": false, "direct_distance_km": 1712.0, "via_waypoint_km": 16262.2, "detour_km": 14550.2, "detour_percent": 849.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Vedder Crossing", " End: Bell Gardens", " Waypoint: Slough", "Step 2: Calculate direct distance", " Start → End: 1712.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16262.2 km", "Step 4: Calculate detour", " Detour = 16262.2 - 1712.0 = 14550.2 km", " Detour % = (14550.2 / 1712.0) × 100 = 849.9%", "Step 5: Determine if on route (typically < 10% detour)", " 849.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 50.81481, "lon": 6.79387, "name": "Erftstadt" }, "end": { "lat": 59.41378, "lon": 5.268, "name": "Haugesund" }, "waypoint": { "lat": 36.00446, "lon": 129.3185, "name": "Yeonil" }, "question": "Is Yeonil approximately on the direct path from Erftstadt to Haugesund?", "ground_truth": { "answer": false, "direct_distance_km": 961.0, "via_waypoint_km": 17077.9, "detour_km": 16116.9, "detour_percent": 1677.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Erftstadt", " End: Haugesund", " Waypoint: Yeonil", "Step 2: Calculate direct distance", " Start → End: 961.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17077.9 km", "Step 4: Calculate detour", " Detour = 17077.9 - 961.0 = 16116.9 km", " Detour % = (16116.9 / 961.0) × 100 = 1677.1%", "Step 5: Determine if on route (typically < 10% detour)", " 1677.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -8.1303, "lon": 112.5727, "name": "Kepanjen" }, "end": { "lat": -37.3287, "lon": -59.1369, "name": "Tandil" }, "waypoint": { "lat": 53.29483, "lon": -3.72674, "name": "Colwyn Bay" }, "question": "Is Colwyn Bay approximately on the direct path from Kepanjen to Tandil?", "ground_truth": { "answer": false, "direct_distance_km": 14887.2, "via_waypoint_km": 23857.1, "detour_km": 8969.9, "detour_percent": 60.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kepanjen", " End: Tandil", " Waypoint: Colwyn Bay", "Step 2: Calculate direct distance", " Start → End: 14887.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23857.1 km", "Step 4: Calculate detour", " Detour = 23857.1 - 14887.2 = 8969.9 km", " Detour % = (8969.9 / 14887.2) × 100 = 60.3%", "Step 5: Determine if on route (typically < 10% detour)", " 60.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -38.0965, "lon": 145.26707, "name": "Cranbourne West" }, "end": { "lat": 6.74, "lon": 44.27806, "name": "Kebri Dahar" }, "waypoint": { "lat": 38.72134, "lon": -9.16738, "name": "Campo De Ourique" }, "question": "Is Campo De Ourique approximately on the direct path from Cranbourne West to Kebri Dahar?", "ground_truth": { "answer": false, "direct_distance_km": 11429.8, "via_waypoint_km": 24205.6, "detour_km": 12775.8, "detour_percent": 111.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Cranbourne West", " End: Kebri Dahar", " Waypoint: Campo De Ourique", "Step 2: Calculate direct distance", " Start → End: 11429.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24205.6 km", "Step 4: Calculate detour", " Detour = 24205.6 - 11429.8 = 12775.8 km", " Detour % = (12775.8 / 11429.8) × 100 = 111.8%", "Step 5: Determine if on route (typically < 10% detour)", " 111.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 32.15934, "lon": 34.8932, "name": "Hod HaSharon" }, "end": { "lat": 52.645, "lon": 6.21111, "name": "Staphorst" }, "waypoint": { "lat": 37.73604, "lon": -120.93549, "name": "Riverbank" }, "question": "Is Riverbank approximately on the direct path from Hod HaSharon to Staphorst?", "ground_truth": { "answer": false, "direct_distance_km": 3236.3, "via_waypoint_km": 20595.0, "detour_km": 17358.7, "detour_percent": 536.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Hod HaSharon", " End: Staphorst", " Waypoint: Riverbank", "Step 2: Calculate direct distance", " Start → End: 3236.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20595.0 km", "Step 4: Calculate detour", " Detour = 20595.0 - 3236.3 = 17358.7 km", " Detour % = (17358.7 / 3236.3) × 100 = 536.4%", "Step 5: Determine if on route (typically < 10% detour)", " 536.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 18.45908, "lon": 75.65877, "name": "Bhoom" }, "end": { "lat": 40.20686, "lon": -8.41996, "name": "Coimbra" }, "waypoint": { "lat": 41.76204, "lon": -72.74204, "name": "West Hartford" }, "question": "Is West Hartford approximately on the direct path from Bhoom to Coimbra?", "ground_truth": { "answer": false, "direct_distance_km": 8205.3, "via_waypoint_km": 17843.3, "detour_km": 9638.1, "detour_percent": 117.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Bhoom", " End: Coimbra", " Waypoint: West Hartford", "Step 2: Calculate direct distance", " Start → End: 8205.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17843.3 km", "Step 4: Calculate detour", " Detour = 17843.3 - 8205.3 = 9638.1 km", " Detour % = (9638.1 / 8205.3) × 100 = 117.5%", "Step 5: Determine if on route (typically < 10% detour)", " 117.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 54.8523, "lon": 83.106, "name": "Akademgorodok" }, "end": { "lat": -38.26667, "lon": 145.01667, "name": "Mount Martha" }, "waypoint": { "lat": -21.53549, "lon": -64.72956, "name": "Tarija" }, "question": "Is Tarija approximately on the direct path from Akademgorodok to Mount Martha?", "ground_truth": { "answer": false, "direct_distance_km": 11905.9, "via_waypoint_km": 28120.3, "detour_km": 16214.4, "detour_percent": 136.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Akademgorodok", " End: Mount Martha", " Waypoint: Tarija", "Step 2: Calculate direct distance", " Start → End: 11905.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 28120.3 km", "Step 4: Calculate detour", " Detour = 28120.3 - 11905.9 = 16214.4 km", " Detour % = (16214.4 / 11905.9) × 100 = 136.2%", "Step 5: Determine if on route (typically < 10% detour)", " 136.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 13.87139, "lon": 100.73719, "name": "Khlong Sam Wa" }, "end": { "lat": 5.0393, "lon": 116.4274, "name": "Bandar Nabawan" }, "waypoint": { "lat": -17.73648, "lon": 168.31366, "name": "Port-Vila" }, "question": "Is Port-Vila approximately on the direct path from Khlong Sam Wa to Bandar Nabawan?", "ground_truth": { "answer": false, "direct_distance_km": 1979.7, "via_waypoint_km": 14431.1, "detour_km": 12451.3, "detour_percent": 628.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Khlong Sam Wa", " End: Bandar Nabawan", " Waypoint: Port-Vila", "Step 2: Calculate direct distance", " Start → End: 1979.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14431.1 km", "Step 4: Calculate detour", " Detour = 14431.1 - 1979.7 = 12451.3 km", " Detour % = (12451.3 / 1979.7) × 100 = 628.9%", "Step 5: Determine if on route (typically < 10% detour)", " 628.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 4.86242, "lon": -74.90977, "name": "Lérida" }, "end": { "lat": 41.26472, "lon": 125.36667, "name": "Huanren" }, "waypoint": { "lat": 51.40944, "lon": 46.04833, "name": "Privolzhskiy" }, "question": "Is Privolzhskiy approximately on the direct path from Lérida to Huanren?", "ground_truth": { "answer": false, "direct_distance_km": 14487.5, "via_waypoint_km": 17528.7, "detour_km": 3041.2, "detour_percent": 21.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Lérida", " End: Huanren", " Waypoint: Privolzhskiy", "Step 2: Calculate direct distance", " Start → End: 14487.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17528.7 km", "Step 4: Calculate detour", " Detour = 17528.7 - 14487.5 = 3041.2 km", " Detour % = (3041.2 / 14487.5) × 100 = 21.0%", "Step 5: Determine if on route (typically < 10% detour)", " 21.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 36.75965, "lon": 137.36215, "name": "Namerikawa" }, "end": { "lat": 34.74806, "lon": 106.12694, "name": "Yongqing" }, "waypoint": { "lat": 30.3, "lon": 108.85, "name": "Lichuan" }, "question": "Is Lichuan approximately on the direct path from Namerikawa to Yongqing?", "ground_truth": { "answer": false, "direct_distance_km": 2815.0, "via_waypoint_km": 3283.9, "detour_km": 468.9, "detour_percent": 16.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Namerikawa", " End: Yongqing", " Waypoint: Lichuan", "Step 2: Calculate direct distance", " Start → End: 2815.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 3283.9 km", "Step 4: Calculate detour", " Detour = 3283.9 - 2815.0 = 468.9 km", " Detour % = (468.9 / 2815.0) × 100 = 16.7%", "Step 5: Determine if on route (typically < 10% detour)", " 16.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 27.91582, "lon": 34.32995, "name": "Sharm el-Sheikh" }, "end": { "lat": 26.47249, "lon": 76.71744, "name": "Gangāpur" }, "waypoint": { "lat": 42.22226, "lon": -83.3966, "name": "Romulus" }, "question": "Is Romulus approximately on the direct path from Sharm el-Sheikh to Gangāpur?", "ground_truth": { "answer": false, "direct_distance_km": 4174.3, "via_waypoint_km": 22051.2, "detour_km": 17876.8, "detour_percent": 428.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Sharm el-Sheikh", " End: Gangāpur", " Waypoint: Romulus", "Step 2: Calculate direct distance", " Start → End: 4174.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22051.2 km", "Step 4: Calculate detour", " Detour = 22051.2 - 4174.3 = 17876.8 km", " Detour % = (17876.8 / 4174.3) × 100 = 428.3%", "Step 5: Determine if on route (typically < 10% detour)", " 428.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 47.36667, "lon": 8.55, "name": "Zürich" }, "end": { "lat": 59.33183, "lon": 18.04118, "name": "Kungsholmen" }, "waypoint": { "lat": -19.59333, "lon": -46.94056, "name": "Araxá" }, "question": "Is Araxá approximately on the direct path from Zürich to Kungsholmen?", "ground_truth": { "answer": false, "direct_distance_km": 1468.7, "via_waypoint_km": 19825.7, "detour_km": 18357.0, "detour_percent": 1249.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Zürich", " End: Kungsholmen", " Waypoint: Araxá", "Step 2: Calculate direct distance", " Start → End: 1468.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19825.7 km", "Step 4: Calculate detour", " Detour = 19825.7 - 1468.7 = 18357.0 km", " Detour % = (18357.0 / 1468.7) × 100 = 1249.9%", "Step 5: Determine if on route (typically < 10% detour)", " 1249.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 5.46651, "lon": -5.58678, "name": "Gbabam" }, "end": { "lat": -22.0, "lon": 47.85, "name": "Amboanjo" }, "waypoint": { "lat": 49.83078, "lon": 8.74887, "name": "Ober-Ramstadt" }, "question": "Is Ober-Ramstadt approximately on the direct path from Gbabam to Amboanjo?", "ground_truth": { "answer": false, "direct_distance_km": 6567.2, "via_waypoint_km": 13980.9, "detour_km": 7413.7, "detour_percent": 112.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Gbabam", " End: Amboanjo", " Waypoint: Ober-Ramstadt", "Step 2: Calculate direct distance", " Start → End: 6567.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13980.9 km", "Step 4: Calculate detour", " Detour = 13980.9 - 6567.2 = 7413.7 km", " Detour % = (7413.7 / 6567.2) × 100 = 112.9%", "Step 5: Determine if on route (typically < 10% detour)", " 112.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 26.12242, "lon": 32.46749, "name": "Dishnā" }, "end": { "lat": -25.86301, "lon": 26.89756, "name": "Koster" }, "waypoint": { "lat": -22.77944, "lon": -46.59056, "name": "Pinhalzinho" }, "question": "Is Pinhalzinho approximately on the direct path from Dishnā to Koster?", "ground_truth": { "answer": false, "direct_distance_km": 5811.3, "via_waypoint_km": 17445.6, "detour_km": 11634.3, "detour_percent": 200.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Dishnā", " End: Koster", " Waypoint: Pinhalzinho", "Step 2: Calculate direct distance", " Start → End: 5811.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17445.6 km", "Step 4: Calculate detour", " Detour = 17445.6 - 5811.3 = 11634.3 km", " Detour % = (11634.3 / 5811.3) × 100 = 200.2%", "Step 5: Determine if on route (typically < 10% detour)", " 200.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 21.0963, "lon": 77.0588, "name": "Akot" }, "end": { "lat": 23.08105, "lon": -82.35448, "name": "Víbora Park" }, "waypoint": { "lat": 34.28556, "lon": -118.88204, "name": "Moorpark" }, "question": "Is Moorpark approximately on the direct path from Akot to Víbora Park?", "ground_truth": { "answer": false, "direct_distance_km": 14620.1, "via_waypoint_km": 17381.1, "detour_km": 2761.0, "detour_percent": 18.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Akot", " End: Víbora Park", " Waypoint: Moorpark", "Step 2: Calculate direct distance", " Start → End: 14620.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17381.1 km", "Step 4: Calculate detour", " Detour = 17381.1 - 14620.1 = 2761.0 km", " Detour % = (2761.0 / 14620.1) × 100 = 18.9%", "Step 5: Determine if on route (typically < 10% detour)", " 18.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -23.52355, "lon": -46.70726, "name": "Lapa" }, "end": { "lat": -9.31833, "lon": -35.56111, "name": "São Luís do Quitunde" }, "waypoint": { "lat": 18.0883, "lon": -96.12535, "name": "Tuxtepec" }, "question": "Is Tuxtepec approximately on the direct path from Lapa to São Luís do Quitunde?", "ground_truth": { "answer": false, "direct_distance_km": 1974.5, "via_waypoint_km": 14394.2, "detour_km": 12419.6, "detour_percent": 629.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Lapa", " End: São Luís do Quitunde", " Waypoint: Tuxtepec", "Step 2: Calculate direct distance", " Start → End: 1974.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14394.2 km", "Step 4: Calculate detour", " Detour = 14394.2 - 1974.5 = 12419.6 km", " Detour % = (12419.6 / 1974.5) × 100 = 629.0%", "Step 5: Determine if on route (typically < 10% detour)", " 629.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 37.06667, "lon": 138.88333, "name": "Muikamachi" }, "end": { "lat": 33.74643, "lon": -7.30194, "name": "El Mansouria" }, "waypoint": { "lat": 10.16245, "lon": -66.88248, "name": "Cúa" }, "question": "Is Cúa approximately on the direct path from Muikamachi to El Mansouria?", "ground_truth": { "answer": false, "direct_distance_km": 11397.3, "via_waypoint_km": 20695.0, "detour_km": 9297.7, "detour_percent": 81.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Muikamachi", " End: El Mansouria", " Waypoint: Cúa", "Step 2: Calculate direct distance", " Start → End: 11397.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20695.0 km", "Step 4: Calculate detour", " Detour = 20695.0 - 11397.3 = 9297.7 km", " Detour % = (9297.7 / 11397.3) × 100 = 81.6%", "Step 5: Determine if on route (typically < 10% detour)", " 81.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 4.98218, "lon": -7.06024, "name": "Gnépasso" }, "end": { "lat": -23.54476, "lon": -46.64105, "name": "Republica" }, "waypoint": { "lat": 5.51307, "lon": 100.55356, "name": "Padang Serai" }, "question": "Is Padang Serai approximately on the direct path from Gnépasso to Republica?", "ground_truth": { "answer": false, "direct_distance_km": 5336.8, "via_waypoint_km": 27866.0, "detour_km": 22529.3, "detour_percent": 422.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Gnépasso", " End: Republica", " Waypoint: Padang Serai", "Step 2: Calculate direct distance", " Start → End: 5336.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 27866.0 km", "Step 4: Calculate detour", " Detour = 27866.0 - 5336.8 = 22529.3 km", " Detour % = (22529.3 / 5336.8) × 100 = 422.2%", "Step 5: Determine if on route (typically < 10% detour)", " 422.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 36.28639, "lon": 7.95111, "name": "Souk Ahras" }, "end": { "lat": 42.33704, "lon": -71.20922, "name": "Newton" }, "waypoint": { "lat": -33.85, "lon": 151.03333, "name": "Auburn" }, "question": "Is Auburn approximately on the direct path from Souk Ahras to Newton?", "ground_truth": { "answer": false, "direct_distance_km": 6593.1, "via_waypoint_km": 32905.7, "detour_km": 26312.6, "detour_percent": 399.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Souk Ahras", " End: Newton", " Waypoint: Auburn", "Step 2: Calculate direct distance", " Start → End: 6593.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 32905.7 km", "Step 4: Calculate detour", " Detour = 32905.7 - 6593.1 = 26312.6 km", " Detour % = (26312.6 / 6593.1) × 100 = 399.1%", "Step 5: Determine if on route (typically < 10% detour)", " 399.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 10.05639, "lon": 76.38451, "name": "Edattala" }, "end": { "lat": 5.87259, "lon": -74.6405, "name": "Puerto Triunfo" }, "waypoint": { "lat": -12.98333, "lon": -44.05111, "name": "Santana" }, "question": "Is Santana approximately on the direct path from Edattala to Puerto Triunfo?", "ground_truth": { "answer": true, "direct_distance_km": 16349.6, "via_waypoint_km": 17507.6, "detour_km": 1158.0, "detour_percent": 7.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Edattala", " End: Puerto Triunfo", " Waypoint: Santana", "Step 2: Calculate direct distance", " Start → End: 16349.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17507.6 km", "Step 4: Calculate detour", " Detour = 17507.6 - 16349.6 = 1158.0 km", " Detour % = (1158.0 / 16349.6) × 100 = 7.1%", "Step 5: Determine if on route (typically < 10% detour)", " 7.1% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 51.95485, "lon": 20.15837, "name": "Skierniewice" }, "end": { "lat": 59.53436, "lon": 18.07758, "name": "Vallentuna" }, "waypoint": { "lat": 43.80418, "lon": -79.27528, "name": "Agincourt North" }, "question": "Is Agincourt North approximately on the direct path from Skierniewice to Vallentuna?", "ground_truth": { "answer": false, "direct_distance_km": 852.7, "via_waypoint_km": 13173.1, "detour_km": 12320.4, "detour_percent": 1444.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Skierniewice", " End: Vallentuna", " Waypoint: Agincourt North", "Step 2: Calculate direct distance", " Start → End: 852.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13173.1 km", "Step 4: Calculate detour", " Detour = 13173.1 - 852.7 = 12320.4 km", " Detour % = (12320.4 / 852.7) × 100 = 1444.9%", "Step 5: Determine if on route (typically < 10% detour)", " 1444.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -19.51889, "lon": -41.01583, "name": "Baixo Guandu" }, "end": { "lat": 6.69903, "lon": -72.73233, "name": "Málaga" }, "waypoint": { "lat": -41.27078, "lon": 173.28404, "name": "Nelson" }, "question": "Is Nelson approximately on the direct path from Baixo Guandu to Málaga?", "ground_truth": { "answer": false, "direct_distance_km": 4533.6, "via_waypoint_km": 24880.2, "detour_km": 20346.7, "detour_percent": 448.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Baixo Guandu", " End: Málaga", " Waypoint: Nelson", "Step 2: Calculate direct distance", " Start → End: 4533.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24880.2 km", "Step 4: Calculate detour", " Detour = 24880.2 - 4533.6 = 20346.7 km", " Detour % = (20346.7 / 4533.6) × 100 = 448.8%", "Step 5: Determine if on route (typically < 10% detour)", " 448.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 26.51963, "lon": 89.20423, "name": "Fālākāta" }, "end": { "lat": 10.34238, "lon": 76.21124, "name": "Irinjālakuda" }, "waypoint": { "lat": 36.13516, "lon": 2.91085, "name": "Berrouaghia" }, "question": "Is Berrouaghia approximately on the direct path from Fālākāta to Irinjālakuda?", "ground_truth": { "answer": false, "direct_distance_km": 2257.6, "via_waypoint_km": 15836.1, "detour_km": 13578.5, "detour_percent": 601.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Fālākāta", " End: Irinjālakuda", " Waypoint: Berrouaghia", "Step 2: Calculate direct distance", " Start → End: 2257.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15836.1 km", "Step 4: Calculate detour", " Detour = 15836.1 - 2257.6 = 13578.5 km", " Detour % = (13578.5 / 2257.6) × 100 = 601.4%", "Step 5: Determine if on route (typically < 10% detour)", " 601.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -9.10528, "lon": -38.14917, "name": "Tacaratu" }, "end": { "lat": 34.61581, "lon": 43.67861, "name": "Tikrīt" }, "waypoint": { "lat": 14.76361, "lon": -16.6916, "name": "Khombole" }, "question": "Is Khombole approximately on the direct path from Tacaratu to Tikrīt?", "ground_truth": { "answer": true, "direct_distance_km": 9844.3, "via_waypoint_km": 9942.1, "detour_km": 97.8, "detour_percent": 1.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Tacaratu", " End: Tikrīt", " Waypoint: Khombole", "Step 2: Calculate direct distance", " Start → End: 9844.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 9942.1 km", "Step 4: Calculate detour", " Detour = 9942.1 - 9844.3 = 97.8 km", " Detour % = (97.8 / 9844.3) × 100 = 1.0%", "Step 5: Determine if on route (typically < 10% detour)", " 1.0% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -18.20476, "lon": 28.9349, "name": "Gokwe" }, "end": { "lat": 14.91893, "lon": -17.11978, "name": "Kayar" }, "waypoint": { "lat": 44.36548, "lon": 20.95885, "name": "Smederevska Palanka" }, "question": "Is Smederevska Palanka approximately on the direct path from Gokwe to Kayar?", "ground_truth": { "answer": false, "direct_distance_km": 6247.0, "via_waypoint_km": 11856.2, "detour_km": 5609.2, "detour_percent": 89.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Gokwe", " End: Kayar", " Waypoint: Smederevska Palanka", "Step 2: Calculate direct distance", " Start → End: 6247.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 11856.2 km", "Step 4: Calculate detour", " Detour = 11856.2 - 6247.0 = 5609.2 km", " Detour % = (5609.2 / 6247.0) × 100 = 89.8%", "Step 5: Determine if on route (typically < 10% detour)", " 89.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 52.42882, "lon": 53.15025, "name": "Sorochinsk" }, "end": { "lat": 50.83413, "lon": -0.27431, "name": "Shoreham-by-Sea" }, "waypoint": { "lat": -23.18111, "lon": -50.64667, "name": "Cornélio Procópio" }, "question": "Is Cornélio Procópio approximately on the direct path from Sorochinsk to Shoreham-by-Sea?", "ground_truth": { "answer": false, "direct_distance_km": 3606.8, "via_waypoint_km": 22543.0, "detour_km": 18936.2, "detour_percent": 525.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Sorochinsk", " End: Shoreham-by-Sea", " Waypoint: Cornélio Procópio", "Step 2: Calculate direct distance", " Start → End: 3606.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22543.0 km", "Step 4: Calculate detour", " Detour = 22543.0 - 3606.8 = 18936.2 km", " Detour % = (18936.2 / 3606.8) × 100 = 525.0%", "Step 5: Determine if on route (typically < 10% detour)", " 525.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -21.79667, "lon": -50.87861, "name": "Osvaldo Cruz" }, "end": { "lat": 13.7085, "lon": 100.52619, "name": "Sathon" }, "waypoint": { "lat": 19.23114, "lon": 82.54826, "name": "Nowrangapur" }, "question": "Is Nowrangapur approximately on the direct path from Osvaldo Cruz to Sathon?", "ground_truth": { "answer": true, "direct_distance_km": 16862.2, "via_waypoint_km": 17185.8, "detour_km": 323.7, "detour_percent": 1.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Osvaldo Cruz", " End: Sathon", " Waypoint: Nowrangapur", "Step 2: Calculate direct distance", " Start → End: 16862.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17185.8 km", "Step 4: Calculate detour", " Detour = 17185.8 - 16862.2 = 323.7 km", " Detour % = (323.7 / 16862.2) × 100 = 1.9%", "Step 5: Determine if on route (typically < 10% detour)", " 1.9% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -31.8075, "lon": 115.86599, "name": "Landsdale" }, "end": { "lat": 45.57139, "lon": 19.64083, "name": "Vrbas" }, "waypoint": { "lat": 49.45, "lon": 117.7, "name": "Jalai Nur" }, "question": "Is Jalai Nur approximately on the direct path from Landsdale to Vrbas?", "ground_truth": { "answer": false, "direct_distance_km": 12916.5, "via_waypoint_km": 15863.7, "detour_km": 2947.2, "detour_percent": 22.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Landsdale", " End: Vrbas", " Waypoint: Jalai Nur", "Step 2: Calculate direct distance", " Start → End: 12916.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15863.7 km", "Step 4: Calculate detour", " Detour = 15863.7 - 12916.5 = 2947.2 km", " Detour % = (2947.2 / 12916.5) × 100 = 22.8%", "Step 5: Determine if on route (typically < 10% detour)", " 22.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 21.84583, "lon": -102.71849, "name": "Calvillo" }, "end": { "lat": 30.34314, "lon": 73.38944, "name": "Pakpattan" }, "waypoint": { "lat": -16.092, "lon": 47.647, "name": "Mampikony" }, "question": "Is Mampikony approximately on the direct path from Calvillo to Pakpattan?", "ground_truth": { "answer": false, "direct_distance_km": 14197.1, "via_waypoint_km": 22692.1, "detour_km": 8495.0, "detour_percent": 59.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Calvillo", " End: Pakpattan", " Waypoint: Mampikony", "Step 2: Calculate direct distance", " Start → End: 14197.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22692.1 km", "Step 4: Calculate detour", " Detour = 22692.1 - 14197.1 = 8495.0 km", " Detour % = (8495.0 / 14197.1) × 100 = 59.8%", "Step 5: Determine if on route (typically < 10% detour)", " 59.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 51.02134, "lon": 17.31649, "name": "Jelcz Laskowice" }, "end": { "lat": 51.59983, "lon": -0.33711, "name": "Wealdstone" }, "waypoint": { "lat": 0.72833, "lon": 32.51222, "name": "Wobulenzi" }, "question": "Is Wobulenzi approximately on the direct path from Jelcz Laskowice to Wealdstone?", "ground_truth": { "answer": false, "direct_distance_km": 1225.8, "via_waypoint_km": 12207.9, "detour_km": 10982.2, "detour_percent": 896.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Jelcz Laskowice", " End: Wealdstone", " Waypoint: Wobulenzi", "Step 2: Calculate direct distance", " Start → End: 1225.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12207.9 km", "Step 4: Calculate detour", " Detour = 12207.9 - 1225.8 = 10982.2 km", " Detour % = (10982.2 / 1225.8) × 100 = 896.0%", "Step 5: Determine if on route (typically < 10% detour)", " 896.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -9.58333, "lon": 33.85, "name": "Kyela" }, "end": { "lat": 40.93591, "lon": 14.25983, "name": "Grumo Nevano" }, "waypoint": { "lat": -2.68333, "lon": -54.64278, "name": "Mojuí dos Campos" }, "question": "Is Mojuí dos Campos approximately on the direct path from Kyela to Grumo Nevano?", "ground_truth": { "answer": false, "direct_distance_km": 5965.7, "via_waypoint_km": 18250.0, "detour_km": 12284.2, "detour_percent": 205.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kyela", " End: Grumo Nevano", " Waypoint: Mojuí dos Campos", "Step 2: Calculate direct distance", " Start → End: 5965.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18250.0 km", "Step 4: Calculate detour", " Detour = 18250.0 - 5965.7 = 12284.2 km", " Detour % = (12284.2 / 5965.7) × 100 = 205.9%", "Step 5: Determine if on route (typically < 10% detour)", " 205.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -12.36333, "lon": -44.97333, "name": "São Desidério" }, "end": { "lat": 42.46615, "lon": -2.45115, "name": "Logroño" }, "waypoint": { "lat": 46.61667, "lon": 14.28333, "name": "Sankt Martin" }, "question": "Is Sankt Martin approximately on the direct path from São Desidério to Logroño?", "ground_truth": { "answer": false, "direct_distance_km": 7479.2, "via_waypoint_km": 10207.7, "detour_km": 2728.5, "detour_percent": 36.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: São Desidério", " End: Logroño", " Waypoint: Sankt Martin", "Step 2: Calculate direct distance", " Start → End: 7479.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 10207.7 km", "Step 4: Calculate detour", " Detour = 10207.7 - 7479.2 = 2728.5 km", " Detour % = (2728.5 / 7479.2) × 100 = 36.5%", "Step 5: Determine if on route (typically < 10% detour)", " 36.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -9.20443, "lon": 25.85475, "name": "Bukama" }, "end": { "lat": 52.59278, "lon": 21.4584, "name": "Wyszków" }, "waypoint": { "lat": 51.74297, "lon": 7.18163, "name": "Haltern am See" }, "question": "Is Haltern am See approximately on the direct path from Bukama to Wyszków?", "ground_truth": { "answer": false, "direct_distance_km": 6884.3, "via_waypoint_km": 7985.9, "detour_km": 1101.6, "detour_percent": 16.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Bukama", " End: Wyszków", " Waypoint: Haltern am See", "Step 2: Calculate direct distance", " Start → End: 6884.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 7985.9 km", "Step 4: Calculate detour", " Detour = 7985.9 - 6884.3 = 1101.6 km", " Detour % = (1101.6 / 6884.3) × 100 = 16.0%", "Step 5: Determine if on route (typically < 10% detour)", " 16.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 48.511, "lon": 38.67222, "name": "Brianka" }, "end": { "lat": 31.15226, "lon": 108.31675, "name": "Zhen’an" }, "waypoint": { "lat": -5.35218, "lon": 21.42192, "name": "Luebo" }, "question": "Is Luebo approximately on the direct path from Brianka to Zhen’an?", "ground_truth": { "answer": false, "direct_distance_km": 6028.6, "via_waypoint_km": 16241.3, "detour_km": 10212.6, "detour_percent": 169.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Brianka", " End: Zhen’an", " Waypoint: Luebo", "Step 2: Calculate direct distance", " Start → End: 6028.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16241.3 km", "Step 4: Calculate detour", " Detour = 16241.3 - 6028.6 = 10212.6 km", " Detour % = (10212.6 / 6028.6) × 100 = 169.4%", "Step 5: Determine if on route (typically < 10% detour)", " 169.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 9.00098, "lon": -71.92683, "name": "San Carlos del Zulia" }, "end": { "lat": -12.67191, "lon": -69.35547, "name": "Tambopata" }, "waypoint": { "lat": 8.12027, "lon": 77.38904, "name": "Dharmapuram" }, "question": "Is Dharmapuram approximately on the direct path from San Carlos del Zulia to Tambopata?", "ground_truth": { "answer": false, "direct_distance_km": 2426.6, "via_waypoint_km": 32464.9, "detour_km": 30038.3, "detour_percent": 1237.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: San Carlos del Zulia", " End: Tambopata", " Waypoint: Dharmapuram", "Step 2: Calculate direct distance", " Start → End: 2426.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 32464.9 km", "Step 4: Calculate detour", " Detour = 32464.9 - 2426.6 = 30038.3 km", " Detour % = (30038.3 / 2426.6) × 100 = 1237.9%", "Step 5: Determine if on route (typically < 10% detour)", " 1237.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 0.66749, "lon": -76.87297, "name": "Orito" }, "end": { "lat": 40.9351, "lon": -74.01903, "name": "New Milford" }, "waypoint": { "lat": 1.61804, "lon": 18.05981, "name": "Impfondo" }, "question": "Is Impfondo approximately on the direct path from Orito to New Milford?", "ground_truth": { "answer": false, "direct_distance_km": 4486.8, "via_waypoint_km": 20617.9, "detour_km": 16131.1, "detour_percent": 359.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Orito", " End: New Milford", " Waypoint: Impfondo", "Step 2: Calculate direct distance", " Start → End: 4486.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20617.9 km", "Step 4: Calculate detour", " Detour = 20617.9 - 4486.8 = 16131.1 km", " Detour % = (16131.1 / 4486.8) × 100 = 359.5%", "Step 5: Determine if on route (typically < 10% detour)", " 359.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 42.70704, "lon": -71.16311, "name": "Lawrence" }, "end": { "lat": 9.97106, "lon": -73.88817, "name": "Bosconia" }, "waypoint": { "lat": -23.60926, "lon": -46.62304, "name": "Bosque Saúde" }, "question": "Is Bosque Saúde approximately on the direct path from Lawrence to Bosconia?", "ground_truth": { "answer": false, "direct_distance_km": 3649.7, "via_waypoint_km": 12558.9, "detour_km": 8909.2, "detour_percent": 244.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Lawrence", " End: Bosconia", " Waypoint: Bosque Saúde", "Step 2: Calculate direct distance", " Start → End: 3649.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12558.9 km", "Step 4: Calculate detour", " Detour = 12558.9 - 3649.7 = 8909.2 km", " Detour % = (8909.2 / 3649.7) × 100 = 244.1%", "Step 5: Determine if on route (typically < 10% detour)", " 244.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 16.79944, "lon": -93.27219, "name": "Berriozábal" }, "end": { "lat": 25.6439, "lon": 77.9129, "name": "Narwar" }, "waypoint": { "lat": 43.23741, "lon": 23.12509, "name": "Berkovitsa" }, "question": "Is Berkovitsa approximately on the direct path from Berriozábal to Narwar?", "ground_truth": { "answer": true, "direct_distance_km": 15200.1, "via_waypoint_km": 16008.7, "detour_km": 808.5, "detour_percent": 5.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Berriozábal", " End: Narwar", " Waypoint: Berkovitsa", "Step 2: Calculate direct distance", " Start → End: 15200.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16008.7 km", "Step 4: Calculate detour", " Detour = 16008.7 - 15200.1 = 808.5 km", " Detour % = (808.5 / 15200.1) × 100 = 5.3%", "Step 5: Determine if on route (typically < 10% detour)", " 5.3% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -31.70312, "lon": 27.2329, "name": "Lady Frere" }, "end": { "lat": 24.90652, "lon": 32.88563, "name": "Ar Radīsīyah Qiblī" }, "waypoint": { "lat": 37.79743, "lon": -121.21605, "name": "Manteca" }, "question": "Is Manteca approximately on the direct path from Lady Frere to Ar Radīsīyah Qiblī?", "ground_truth": { "answer": false, "direct_distance_km": 6323.3, "via_waypoint_km": 29605.5, "detour_km": 23282.2, "detour_percent": 368.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Lady Frere", " End: Ar Radīsīyah Qiblī", " Waypoint: Manteca", "Step 2: Calculate direct distance", " Start → End: 6323.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 29605.5 km", "Step 4: Calculate detour", " Detour = 29605.5 - 6323.3 = 23282.2 km", " Detour % = (23282.2 / 6323.3) × 100 = 368.2%", "Step 5: Determine if on route (typically < 10% detour)", " 368.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 12.87695, "lon": 10.45536, "name": "Nguru" }, "end": { "lat": -21.46778, "lon": -47.00472, "name": "Mococa" }, "waypoint": { "lat": 17.59064, "lon": 80.32146, "name": "Yellandu" }, "question": "Is Yellandu approximately on the direct path from Nguru to Mococa?", "ground_truth": { "answer": false, "direct_distance_km": 7341.1, "via_waypoint_km": 21977.4, "detour_km": 14636.3, "detour_percent": 199.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Nguru", " End: Mococa", " Waypoint: Yellandu", "Step 2: Calculate direct distance", " Start → End: 7341.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21977.4 km", "Step 4: Calculate detour", " Detour = 21977.4 - 7341.1 = 14636.3 km", " Detour % = (14636.3 / 7341.1) × 100 = 199.4%", "Step 5: Determine if on route (typically < 10% detour)", " 199.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 67.56627, "lon": 30.47765, "name": "Kovdor" }, "end": { "lat": 33.90331, "lon": -5.36868, "name": "Sabaa Aiyoun" }, "waypoint": { "lat": 13.06269, "lon": 5.24322, "name": "Sokoto" }, "question": "Is Sokoto approximately on the direct path from Kovdor to Sabaa Aiyoun?", "ground_truth": { "answer": false, "direct_distance_km": 4385.2, "via_waypoint_km": 8887.6, "detour_km": 4502.3, "detour_percent": 102.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kovdor", " End: Sabaa Aiyoun", " Waypoint: Sokoto", "Step 2: Calculate direct distance", " Start → End: 4385.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 8887.6 km", "Step 4: Calculate detour", " Detour = 8887.6 - 4385.2 = 4502.3 km", " Detour % = (4502.3 / 4385.2) × 100 = 102.7%", "Step 5: Determine if on route (typically < 10% detour)", " 102.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 7.27389, "lon": 28.6775, "name": "Tonj" }, "end": { "lat": 61.71233, "lon": 30.70953, "name": "Sortavala" }, "waypoint": { "lat": 19.08864, "lon": -102.35704, "name": "Apatzingán" }, "question": "Is Apatzingán approximately on the direct path from Tonj to Sortavala?", "ground_truth": { "answer": false, "direct_distance_km": 6055.6, "via_waypoint_km": 24023.9, "detour_km": 17968.3, "detour_percent": 296.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Tonj", " End: Sortavala", " Waypoint: Apatzingán", "Step 2: Calculate direct distance", " Start → End: 6055.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24023.9 km", "Step 4: Calculate detour", " Detour = 24023.9 - 6055.6 = 17968.3 km", " Detour % = (17968.3 / 6055.6) × 100 = 296.7%", "Step 5: Determine if on route (typically < 10% detour)", " 296.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 45.4399, "lon": -75.66498, "name": "Vanier" }, "end": { "lat": 42.04177, "lon": -70.67226, "name": "Duxbury" }, "waypoint": { "lat": 12.06884, "lon": -1.33644, "name": "Kombissiri" }, "question": "Is Kombissiri approximately on the direct path from Vanier to Duxbury?", "ground_truth": { "answer": false, "direct_distance_km": 550.8, "via_waypoint_km": 15247.2, "detour_km": 14696.4, "detour_percent": 2668.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Vanier", " End: Duxbury", " Waypoint: Kombissiri", "Step 2: Calculate direct distance", " Start → End: 550.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15247.2 km", "Step 4: Calculate detour", " Detour = 15247.2 - 550.8 = 14696.4 km", " Detour % = (14696.4 / 550.8) × 100 = 2668.0%", "Step 5: Determine if on route (typically < 10% detour)", " 2668.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 10.22609, "lon": -67.877, "name": "Guacara" }, "end": { "lat": 11.10483, "lon": 75.93269, "name": "Peruvallur" }, "waypoint": { "lat": 39.10816, "lon": -76.99775, "name": "Cloverly" }, "question": "Is Cloverly approximately on the direct path from Guacara to Peruvallur?", "ground_truth": { "answer": false, "direct_distance_km": 15364.3, "via_waypoint_km": 17104.4, "detour_km": 1740.1, "detour_percent": 11.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Guacara", " End: Peruvallur", " Waypoint: Cloverly", "Step 2: Calculate direct distance", " Start → End: 15364.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17104.4 km", "Step 4: Calculate detour", " Detour = 17104.4 - 15364.3 = 1740.1 km", " Detour % = (1740.1 / 15364.3) × 100 = 11.3%", "Step 5: Determine if on route (typically < 10% detour)", " 11.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 38.13538, "lon": 39.445, "name": "Çermik" }, "end": { "lat": 11.91842, "lon": 75.4645, "name": "Kanhirode" }, "waypoint": { "lat": 13.56271, "lon": 7.04848, "name": "Tibiri" }, "question": "Is Tibiri approximately on the direct path from Çermik to Kanhirode?", "ground_truth": { "answer": false, "direct_distance_km": 4604.6, "via_waypoint_km": 11597.7, "detour_km": 6993.1, "detour_percent": 151.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Çermik", " End: Kanhirode", " Waypoint: Tibiri", "Step 2: Calculate direct distance", " Start → End: 4604.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 11597.7 km", "Step 4: Calculate detour", " Detour = 11597.7 - 4604.6 = 6993.1 km", " Detour % = (6993.1 / 4604.6) × 100 = 151.9%", "Step 5: Determine if on route (typically < 10% detour)", " 151.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -37.79086, "lon": 145.09386, "name": "Balwyn North" }, "end": { "lat": -31.09048, "lon": 150.92905, "name": "Tamworth" }, "waypoint": { "lat": 35.14621, "lon": 140.31507, "name": "Katsuura" }, "question": "Is Katsuura approximately on the direct path from Balwyn North to Tamworth?", "ground_truth": { "answer": false, "direct_distance_km": 916.8, "via_waypoint_km": 15573.5, "detour_km": 14656.7, "detour_percent": 1598.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Balwyn North", " End: Tamworth", " Waypoint: Katsuura", "Step 2: Calculate direct distance", " Start → End: 916.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15573.5 km", "Step 4: Calculate detour", " Detour = 15573.5 - 916.8 = 14656.7 km", " Detour % = (14656.7 / 916.8) × 100 = 1598.6%", "Step 5: Determine if on route (typically < 10% detour)", " 1598.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 51.21399, "lon": 3.24949, "name": "Sint-Kruis" }, "end": { "lat": 47.09514, "lon": 37.54131, "name": "Mariupol" }, "waypoint": { "lat": -12.38333, "lon": 16.93333, "name": "Cuíto" }, "question": "Is Cuíto approximately on the direct path from Sint-Kruis to Mariupol?", "ground_truth": { "answer": false, "direct_distance_km": 2511.7, "via_waypoint_km": 14118.7, "detour_km": 11607.0, "detour_percent": 462.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Sint-Kruis", " End: Mariupol", " Waypoint: Cuíto", "Step 2: Calculate direct distance", " Start → End: 2511.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14118.7 km", "Step 4: Calculate detour", " Detour = 14118.7 - 2511.7 = 11607.0 km", " Detour % = (11607.0 / 2511.7) × 100 = 462.1%", "Step 5: Determine if on route (typically < 10% detour)", " 462.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -18.75639, "lon": -44.43083, "name": "Curvelo" }, "end": { "lat": -33.8, "lon": 151.18333, "name": "Chatswood" }, "waypoint": { "lat": 14.06694, "lon": 120.63181, "name": "Nasugbu" }, "question": "Is Nasugbu approximately on the direct path from Curvelo to Chatswood?", "ground_truth": { "answer": false, "direct_distance_km": 13941.2, "via_waypoint_km": 24568.3, "detour_km": 10627.1, "detour_percent": 76.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Curvelo", " End: Chatswood", " Waypoint: Nasugbu", "Step 2: Calculate direct distance", " Start → End: 13941.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24568.3 km", "Step 4: Calculate detour", " Detour = 24568.3 - 13941.2 = 10627.1 km", " Detour % = (10627.1 / 13941.2) × 100 = 76.2%", "Step 5: Determine if on route (typically < 10% detour)", " 76.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 11.16669, "lon": 77.33502, "name": "Chettipālaiyam" }, "end": { "lat": 6.03333, "lon": 37.55, "name": "Arba Minch" }, "waypoint": { "lat": 50.59465, "lon": 12.64139, "name": "Schneeberg" }, "question": "Is Schneeberg approximately on the direct path from Chettipālaiyam to Arba Minch?", "ground_truth": { "answer": false, "direct_distance_km": 4407.6, "via_waypoint_km": 12742.9, "detour_km": 8335.3, "detour_percent": 189.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Chettipālaiyam", " End: Arba Minch", " Waypoint: Schneeberg", "Step 2: Calculate direct distance", " Start → End: 4407.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12742.9 km", "Step 4: Calculate detour", " Detour = 12742.9 - 4407.6 = 8335.3 km", " Detour % = (8335.3 / 4407.6) × 100 = 189.1%", "Step 5: Determine if on route (typically < 10% detour)", " 189.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 17.94144, "lon": -77.10898, "name": "Old Harbour" }, "end": { "lat": 29.55805, "lon": 34.94821, "name": "Eilat" }, "waypoint": { "lat": 11.41667, "lon": 37.16667, "name": "Mer’āwī" }, "question": "Is Mer’āwī approximately on the direct path from Old Harbour to Eilat?", "ground_truth": { "answer": false, "direct_distance_km": 11023.6, "via_waypoint_km": 14129.3, "detour_km": 3105.7, "detour_percent": 28.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Old Harbour", " End: Eilat", " Waypoint: Mer’āwī", "Step 2: Calculate direct distance", " Start → End: 11023.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14129.3 km", "Step 4: Calculate detour", " Detour = 14129.3 - 11023.6 = 3105.7 km", " Detour % = (3105.7 / 11023.6) × 100 = 28.2%", "Step 5: Determine if on route (typically < 10% detour)", " 28.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 53.44325, "lon": 41.81061, "name": "Morshansk" }, "end": { "lat": 33.90139, "lon": 105.82194, "name": "Jiangluo" }, "waypoint": { "lat": 26.19063, "lon": -97.6961, "name": "Harlingen" }, "question": "Is Harlingen approximately on the direct path from Morshansk to Jiangluo?", "ground_truth": { "answer": false, "direct_distance_km": 5375.6, "via_waypoint_km": 23225.6, "detour_km": 17850.0, "detour_percent": 332.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Morshansk", " End: Jiangluo", " Waypoint: Harlingen", "Step 2: Calculate direct distance", " Start → End: 5375.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23225.6 km", "Step 4: Calculate detour", " Detour = 23225.6 - 5375.6 = 17850.0 km", " Detour % = (17850.0 / 5375.6) × 100 = 332.1%", "Step 5: Determine if on route (typically < 10% detour)", " 332.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 53.53381, "lon": 33.73075, "name": "Zhukovka" }, "end": { "lat": 53.55213, "lon": 9.92421, "name": "Ottensen" }, "waypoint": { "lat": 19.79344, "lon": -70.6884, "name": "Puerto Plata" }, "question": "Is Puerto Plata approximately on the direct path from Zhukovka to Ottensen?", "ground_truth": { "answer": false, "direct_distance_km": 1565.6, "via_waypoint_km": 16794.1, "detour_km": 15228.5, "detour_percent": 972.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Zhukovka", " End: Ottensen", " Waypoint: Puerto Plata", "Step 2: Calculate direct distance", " Start → End: 1565.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16794.1 km", "Step 4: Calculate detour", " Detour = 16794.1 - 1565.6 = 15228.5 km", " Detour % = (15228.5 / 1565.6) × 100 = 972.7%", "Step 5: Determine if on route (typically < 10% detour)", " 972.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 27.64148, "lon": 30.85012, "name": "Dayr Mawās" }, "end": { "lat": 33.8527, "lon": -7.03171, "name": "Skhirate" }, "waypoint": { "lat": 38.44546, "lon": -121.8233, "name": "Dixon" }, "question": "Is Dixon approximately on the direct path from Dayr Mawās to Skhirate?", "ground_truth": { "answer": false, "direct_distance_km": 3664.4, "via_waypoint_km": 21674.2, "detour_km": 18009.8, "detour_percent": 491.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Dayr Mawās", " End: Skhirate", " Waypoint: Dixon", "Step 2: Calculate direct distance", " Start → End: 3664.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21674.2 km", "Step 4: Calculate detour", " Detour = 21674.2 - 3664.4 = 18009.8 km", " Detour % = (18009.8 / 3664.4) × 100 = 491.5%", "Step 5: Determine if on route (typically < 10% detour)", " 491.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 42.35336, "lon": -88.09341, "name": "Round Lake" }, "end": { "lat": -5.38146, "lon": -49.13232, "name": "Marabá" }, "waypoint": { "lat": 13.4322, "lon": 123.517, "name": "Buhi" }, "question": "Is Buhi approximately on the direct path from Round Lake to Marabá?", "ground_truth": { "answer": false, "direct_distance_km": 6605.9, "via_waypoint_km": 31832.4, "detour_km": 25226.5, "detour_percent": 381.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Round Lake", " End: Marabá", " Waypoint: Buhi", "Step 2: Calculate direct distance", " Start → End: 6605.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 31832.4 km", "Step 4: Calculate detour", " Detour = 31832.4 - 6605.9 = 25226.5 km", " Detour % = (25226.5 / 6605.9) × 100 = 381.9%", "Step 5: Determine if on route (typically < 10% detour)", " 381.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 36.58597, "lon": -79.39502, "name": "Danville" }, "end": { "lat": -23.00583, "lon": -46.83889, "name": "Itatiba" }, "waypoint": { "lat": 32.75222, "lon": 12.72778, "name": "Zawiya" }, "question": "Is Zawiya approximately on the direct path from Danville to Itatiba?", "ground_truth": { "answer": false, "direct_distance_km": 7455.0, "via_waypoint_km": 16933.5, "detour_km": 9478.5, "detour_percent": 127.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Danville", " End: Itatiba", " Waypoint: Zawiya", "Step 2: Calculate direct distance", " Start → End: 7455.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16933.5 km", "Step 4: Calculate detour", " Detour = 16933.5 - 7455.0 = 9478.5 km", " Detour % = (9478.5 / 7455.0) × 100 = 127.1%", "Step 5: Determine if on route (typically < 10% detour)", " 127.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -22.91944, "lon": -42.81861, "name": "Maricá" }, "end": { "lat": 35.28333, "lon": 136.91667, "name": "Komaki" }, "waypoint": { "lat": 55.42112, "lon": 38.26188, "name": "Bronnitsy" }, "question": "Is Bronnitsy approximately on the direct path from Maricá to Komaki?", "ground_truth": { "answer": true, "direct_distance_km": 18640.0, "via_waypoint_km": 18893.9, "detour_km": 253.9, "detour_percent": 1.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Maricá", " End: Komaki", " Waypoint: Bronnitsy", "Step 2: Calculate direct distance", " Start → End: 18640.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18893.9 km", "Step 4: Calculate detour", " Detour = 18893.9 - 18640.0 = 253.9 km", " Detour % = (253.9 / 18640.0) × 100 = 1.4%", "Step 5: Determine if on route (typically < 10% detour)", " 1.4% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 45.47154, "lon": 9.18763, "name": "Brera" }, "end": { "lat": 9.46374, "lon": 12.03062, "name": "Numan" }, "waypoint": { "lat": 7.18286, "lon": 1.99119, "name": "Abomey" }, "question": "Is Abomey approximately on the direct path from Brera to Numan?", "ground_truth": { "answer": false, "direct_distance_km": 4013.1, "via_waypoint_km": 5446.8, "detour_km": 1433.7, "detour_percent": 35.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Brera", " End: Numan", " Waypoint: Abomey", "Step 2: Calculate direct distance", " Start → End: 4013.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 5446.8 km", "Step 4: Calculate detour", " Detour = 5446.8 - 4013.1 = 1433.7 km", " Detour % = (1433.7 / 4013.1) × 100 = 35.7%", "Step 5: Determine if on route (typically < 10% detour)", " 35.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 48.85373, "lon": 2.54903, "name": "Neuilly-sur-Marne" }, "end": { "lat": 45.36551, "lon": 38.21194, "name": "Krasnoarmeyskaya" }, "waypoint": { "lat": -23.5725, "lon": -46.03861, "name": "Biritiba Mirim" }, "question": "Is Biritiba Mirim approximately on the direct path from Neuilly-sur-Marne to Krasnoarmeyskaya?", "ground_truth": { "answer": false, "direct_distance_km": 2701.3, "via_waypoint_km": 20804.8, "detour_km": 18103.5, "detour_percent": 670.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Neuilly-sur-Marne", " End: Krasnoarmeyskaya", " Waypoint: Biritiba Mirim", "Step 2: Calculate direct distance", " Start → End: 2701.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20804.8 km", "Step 4: Calculate detour", " Detour = 20804.8 - 2701.3 = 18103.5 km", " Detour % = (18103.5 / 2701.3) × 100 = 670.2%", "Step 5: Determine if on route (typically < 10% detour)", " 670.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 33.749, "lon": -84.38798, "name": "Atlanta" }, "end": { "lat": -26.8908, "lon": 28.09707, "name": "Deneysville" }, "waypoint": { "lat": 41.0033, "lon": 16.87208, "name": "Adelfia" }, "question": "Is Adelfia approximately on the direct path from Atlanta to Deneysville?", "ground_truth": { "answer": false, "direct_distance_km": 13603.1, "via_waypoint_km": 16088.2, "detour_km": 2485.1, "detour_percent": 18.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Atlanta", " End: Deneysville", " Waypoint: Adelfia", "Step 2: Calculate direct distance", " Start → End: 13603.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16088.2 km", "Step 4: Calculate detour", " Detour = 16088.2 - 13603.1 = 2485.1 km", " Detour % = (2485.1 / 13603.1) × 100 = 18.3%", "Step 5: Determine if on route (typically < 10% detour)", " 18.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -9.37273, "lon": 30.12501, "name": "Mporokoso" }, "end": { "lat": -9.17419, "lon": -40.97514, "name": "Casa Nova" }, "waypoint": { "lat": 42.41224, "lon": -82.18494, "name": "Chatham" }, "question": "Is Chatham approximately on the direct path from Mporokoso to Casa Nova?", "ground_truth": { "answer": false, "direct_distance_km": 7787.4, "via_waypoint_km": 19634.2, "detour_km": 11846.8, "detour_percent": 152.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Mporokoso", " End: Casa Nova", " Waypoint: Chatham", "Step 2: Calculate direct distance", " Start → End: 7787.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19634.2 km", "Step 4: Calculate detour", " Detour = 19634.2 - 7787.4 = 11846.8 km", " Detour % = (11846.8 / 7787.4) × 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": 5.51956, "lon": -7.32755, "name": "Para" }, "end": { "lat": 31.60351, "lon": -94.65549, "name": "Nacogdoches" }, "waypoint": { "lat": -11.68472, "lon": -41.76889, "name": "Canarana" }, "question": "Is Canarana approximately on the direct path from Para to Nacogdoches?", "ground_truth": { "answer": false, "direct_distance_km": 9433.8, "via_waypoint_km": 11668.5, "detour_km": 2234.6, "detour_percent": 23.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Para", " End: Nacogdoches", " Waypoint: Canarana", "Step 2: Calculate direct distance", " Start → End: 9433.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 11668.5 km", "Step 4: Calculate detour", " Detour = 11668.5 - 9433.8 = 2234.6 km", " Detour % = (2234.6 / 9433.8) × 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": -8.73204, "lon": 15.37124, "name": "Cazombo" }, "end": { "lat": 6.66129, "lon": -3.26984, "name": "Niablé" }, "waypoint": { "lat": 20.14804, "lon": 40.27224, "name": "Al Līth" }, "question": "Is Al Līth approximately on the direct path from Cazombo to Niablé?", "ground_truth": { "answer": false, "direct_distance_km": 2683.1, "via_waypoint_km": 9135.6, "detour_km": 6452.5, "detour_percent": 240.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Cazombo", " End: Niablé", " Waypoint: Al Līth", "Step 2: Calculate direct distance", " Start → End: 2683.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 9135.6 km", "Step 4: Calculate detour", " Detour = 9135.6 - 2683.1 = 6452.5 km", " Detour % = (6452.5 / 2683.1) × 100 = 240.5%", "Step 5: Determine if on route (typically < 10% detour)", " 240.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -8.4325, "lon": -35.80444, "name": "São Joaquim do Monte" }, "end": { "lat": 4.86242, "lon": -74.90977, "name": "Lérida" }, "waypoint": { "lat": 36.66757, "lon": 65.7529, "name": "Shibirghān" }, "question": "Is Shibirghān approximately on the direct path from São Joaquim do Monte to Lérida?", "ground_truth": { "answer": false, "direct_distance_km": 4581.3, "via_waypoint_km": 25447.0, "detour_km": 20865.7, "detour_percent": 455.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: São Joaquim do Monte", " End: Lérida", " Waypoint: Shibirghān", "Step 2: Calculate direct distance", " Start → End: 4581.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 25447.0 km", "Step 4: Calculate detour", " Detour = 25447.0 - 4581.3 = 20865.7 km", " Detour % = (20865.7 / 4581.3) × 100 = 455.5%", "Step 5: Determine if on route (typically < 10% detour)", " 455.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 21.05473, "lon": 70.52903, "name": "Talala" }, "end": { "lat": -37.81819, "lon": 145.00176, "name": "Richmond" }, "waypoint": { "lat": 44.64808, "lon": 7.65677, "name": "Savigliano" }, "question": "Is Savigliano approximately on the direct path from Talala to Richmond?", "ground_truth": { "answer": false, "direct_distance_km": 10153.6, "via_waypoint_km": 22668.6, "detour_km": 12514.9, "detour_percent": 123.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Talala", " End: Richmond", " Waypoint: Savigliano", "Step 2: Calculate direct distance", " Start → End: 10153.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22668.6 km", "Step 4: Calculate detour", " Detour = 22668.6 - 10153.6 = 12514.9 km", " Detour % = (12514.9 / 10153.6) × 100 = 123.3%", "Step 5: Determine if on route (typically < 10% detour)", " 123.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 39.23379, "lon": -8.68617, "name": "Santarém" }, "end": { "lat": 42.11667, "lon": 2.76667, "name": "Banyoles" }, "waypoint": { "lat": 11.13333, "lon": 39.63333, "name": "Dessie" }, "question": "Is Dessie approximately on the direct path from Santarém to Banyoles?", "ground_truth": { "answer": false, "direct_distance_km": 1016.7, "via_waypoint_km": 10647.3, "detour_km": 9630.7, "detour_percent": 947.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Santarém", " End: Banyoles", " Waypoint: Dessie", "Step 2: Calculate direct distance", " Start → End: 1016.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 10647.3 km", "Step 4: Calculate detour", " Detour = 10647.3 - 1016.7 = 9630.7 km", " Detour % = (9630.7 / 1016.7) × 100 = 947.3%", "Step 5: Determine if on route (typically < 10% detour)", " 947.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 42.43306, "lon": 21.03972, "name": "Shtime" }, "end": { "lat": 55.8, "lon": 37.51667, "name": "Sokol" }, "waypoint": { "lat": -41.05584, "lon": 145.90375, "name": "Burnie" }, "question": "Is Burnie approximately on the direct path from Shtime to Sokol?", "ground_truth": { "answer": false, "direct_distance_km": 1899.7, "via_waypoint_km": 30265.3, "detour_km": 28365.6, "detour_percent": 1493.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Shtime", " End: Sokol", " Waypoint: Burnie", "Step 2: Calculate direct distance", " Start → End: 1899.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 30265.3 km", "Step 4: Calculate detour", " Detour = 30265.3 - 1899.7 = 28365.6 km", " Detour % = (28365.6 / 1899.7) × 100 = 1493.2%", "Step 5: Determine if on route (typically < 10% detour)", " 1493.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 47.74167, "lon": 96.84444, "name": "Uliastay" }, "end": { "lat": 8.21494, "lon": -5.12549, "name": "Fronan" }, "waypoint": { "lat": 5.7351, "lon": -3.40338, "name": "Aboisso Comoé" }, "question": "Is Aboisso Comoé approximately on the direct path from Uliastay to Fronan?", "ground_truth": { "answer": true, "direct_distance_km": 10213.3, "via_waypoint_km": 10629.7, "detour_km": 416.5, "detour_percent": 4.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Uliastay", " End: Fronan", " Waypoint: Aboisso Comoé", "Step 2: Calculate direct distance", " Start → End: 10213.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 10629.7 km", "Step 4: Calculate detour", " Detour = 10629.7 - 10213.3 = 416.5 km", " Detour % = (416.5 / 10213.3) × 100 = 4.1%", "Step 5: Determine if on route (typically < 10% detour)", " 4.1% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 53.35801, "lon": -2.16539, "name": "Bramhall" }, "end": { "lat": 10.47027, "lon": -66.61934, "name": "Guarenas" }, "waypoint": { "lat": 11.08333, "lon": 37.86667, "name": "Mot’a" }, "question": "Is Mot’a approximately on the direct path from Bramhall to Guarenas?", "ground_truth": { "answer": false, "direct_distance_km": 7393.4, "via_waypoint_km": 17218.7, "detour_km": 9825.3, "detour_percent": 132.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Bramhall", " End: Guarenas", " Waypoint: Mot’a", "Step 2: Calculate direct distance", " Start → End: 7393.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17218.7 km", "Step 4: Calculate detour", " Detour = 17218.7 - 7393.4 = 9825.3 km", " Detour % = (9825.3 / 7393.4) × 100 = 132.9%", "Step 5: Determine if on route (typically < 10% detour)", " 132.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -20.23325, "lon": 57.46609, "name": "Beau Bassin-Rose Hill" }, "end": { "lat": 6.17146, "lon": 7.00525, "name": "Enugu-Ukwu" }, "waypoint": { "lat": 12.24922, "lon": -0.61527, "name": "Zorgo" }, "question": "Is Zorgo approximately on the direct path from Beau Bassin-Rose Hill to Enugu-Ukwu?", "ground_truth": { "answer": false, "direct_distance_km": 6246.2, "via_waypoint_km": 8381.2, "detour_km": 2135.0, "detour_percent": 34.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Beau Bassin-Rose Hill", " End: Enugu-Ukwu", " Waypoint: Zorgo", "Step 2: Calculate direct distance", " Start → End: 6246.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 8381.2 km", "Step 4: Calculate detour", " Detour = 8381.2 - 6246.2 = 2135.0 km", " Detour % = (2135.0 / 6246.2) × 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": 10.09085, "lon": -5.19482, "name": "Kaouara" }, "end": { "lat": 6.45407, "lon": 3.39467, "name": "Lagos" }, "waypoint": { "lat": -26.1966, "lon": -56.36786, "name": "Caazapá" }, "question": "Is Caazapá approximately on the direct path from Kaouara to Lagos?", "ground_truth": { "answer": false, "direct_distance_km": 1027.9, "via_waypoint_km": 14233.2, "detour_km": 13205.4, "detour_percent": 1284.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kaouara", " End: Lagos", " Waypoint: Caazapá", "Step 2: Calculate direct distance", " Start → End: 1027.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14233.2 km", "Step 4: Calculate detour", " Detour = 14233.2 - 1027.9 = 13205.4 km", " Detour % = (13205.4 / 1027.9) × 100 = 1284.7%", "Step 5: Determine if on route (typically < 10% detour)", " 1284.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -15.245, "lon": -40.62444, "name": "Itambé" }, "end": { "lat": 43.94265, "lon": 10.29754, "name": "Camaiore" }, "waypoint": { "lat": 9.9453, "lon": -84.0669, "name": "Calle Blancos" }, "question": "Is Calle Blancos approximately on the direct path from Itambé to Camaiore?", "ground_truth": { "answer": false, "direct_distance_km": 8361.8, "via_waypoint_km": 15132.4, "detour_km": 6770.6, "detour_percent": 81.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Itambé", " End: Camaiore", " Waypoint: Calle Blancos", "Step 2: Calculate direct distance", " Start → End: 8361.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15132.4 km", "Step 4: Calculate detour", " Detour = 15132.4 - 8361.8 = 6770.6 km", " Detour % = (6770.6 / 8361.8) × 100 = 81.0%", "Step 5: Determine if on route (typically < 10% detour)", " 81.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 8.61565, "lon": 6.4185, "name": "Baro" }, "end": { "lat": 0.50222, "lon": 31.04139, "name": "Kyegegwa" }, "waypoint": { "lat": 46.64499, "lon": -80.9973, "name": "Valley East" }, "question": "Is Valley East approximately on the direct path from Baro to Kyegegwa?", "ground_truth": { "answer": false, "direct_distance_km": 2872.2, "via_waypoint_km": 20741.1, "detour_km": 17868.9, "detour_percent": 622.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Baro", " End: Kyegegwa", " Waypoint: Valley East", "Step 2: Calculate direct distance", " Start → End: 2872.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20741.1 km", "Step 4: Calculate detour", " Detour = 20741.1 - 2872.2 = 17868.9 km", " Detour % = (17868.9 / 2872.2) × 100 = 622.1%", "Step 5: Determine if on route (typically < 10% detour)", " 622.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 17.98372, "lon": 100.05217, "name": "Den Chai" }, "end": { "lat": -0.95759, "lon": -78.69636, "name": "Pujilí" }, "waypoint": { "lat": 40.72482, "lon": -74.30404, "name": "Millburn" }, "question": "Is Millburn approximately on the direct path from Den Chai to Pujilí?", "ground_truth": { "answer": true, "direct_distance_km": 18116.9, "via_waypoint_km": 18117.1, "detour_km": 0.2, "detour_percent": 0.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Den Chai", " End: Pujilí", " Waypoint: Millburn", "Step 2: Calculate direct distance", " Start → End: 18116.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18117.1 km", "Step 4: Calculate detour", " Detour = 18117.1 - 18116.9 = 0.2 km", " Detour % = (0.2 / 18116.9) × 100 = 0.0%", "Step 5: Determine if on route (typically < 10% detour)", " 0.0% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 33.91696, "lon": -118.25507, "name": "Willowbrook" }, "end": { "lat": 41.64366, "lon": -83.48688, "name": "Oregon" }, "waypoint": { "lat": 43.77649, "lon": 7.50435, "name": "Menton" }, "question": "Is Menton approximately on the direct path from Willowbrook to Oregon?", "ground_truth": { "answer": false, "direct_distance_km": 3150.5, "via_waypoint_km": 16809.8, "detour_km": 13659.3, "detour_percent": 433.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Willowbrook", " End: Oregon", " Waypoint: Menton", "Step 2: Calculate direct distance", " Start → End: 3150.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16809.8 km", "Step 4: Calculate detour", " Detour = 16809.8 - 3150.5 = 13659.3 km", " Detour % = (13659.3 / 3150.5) × 100 = 433.6%", "Step 5: Determine if on route (typically < 10% detour)", " 433.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 14.9163, "lon": 79.99449, "name": "Kāvali" }, "end": { "lat": 25.52533, "lon": 73.90812, "name": "Devgarh" }, "waypoint": { "lat": 15.55177, "lon": 32.53241, "name": "Khartoum" }, "question": "Is Khartoum approximately on the direct path from Kāvali to Devgarh?", "ground_truth": { "answer": false, "direct_distance_km": 1339.1, "via_waypoint_km": 9511.3, "detour_km": 8172.2, "detour_percent": 610.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kāvali", " End: Devgarh", " Waypoint: Khartoum", "Step 2: Calculate direct distance", " Start → End: 1339.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 9511.3 km", "Step 4: Calculate detour", " Detour = 9511.3 - 1339.1 = 8172.2 km", " Detour % = (8172.2 / 1339.1) × 100 = 610.3%", "Step 5: Determine if on route (typically < 10% detour)", " 610.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 6.01203, "lon": -3.19024, "name": "Bianouan" }, "end": { "lat": -6.14089, "lon": 37.63604, "name": "Madizini" }, "waypoint": { "lat": 46.71621, "lon": -122.9543, "name": "Centralia" }, "question": "Is Centralia approximately on the direct path from Bianouan to Madizini?", "ground_truth": { "answer": false, "direct_distance_km": 4728.3, "via_waypoint_km": 26834.1, "detour_km": 22105.8, "detour_percent": 467.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Bianouan", " End: Madizini", " Waypoint: Centralia", "Step 2: Calculate direct distance", " Start → End: 4728.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 26834.1 km", "Step 4: Calculate detour", " Detour = 26834.1 - 4728.3 = 22105.8 km", " Detour % = (22105.8 / 4728.3) × 100 = 467.5%", "Step 5: Determine if on route (typically < 10% detour)", " 467.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 10.10649, "lon": 76.35484, "name": "Alwaye" }, "end": { "lat": 36.24111, "lon": 115.66722, "name": "Yanta" }, "waypoint": { "lat": 45.55066, "lon": 18.6942, "name": "Osijek" }, "question": "Is Osijek approximately on the direct path from Alwaye to Yanta?", "ground_truth": { "answer": false, "direct_distance_km": 4904.1, "via_waypoint_km": 14421.2, "detour_km": 9517.1, "detour_percent": 194.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Alwaye", " End: Yanta", " Waypoint: Osijek", "Step 2: Calculate direct distance", " Start → End: 4904.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14421.2 km", "Step 4: Calculate detour", " Detour = 14421.2 - 4904.1 = 9517.1 km", " Detour % = (9517.1 / 4904.1) × 100 = 194.1%", "Step 5: Determine if on route (typically < 10% detour)", " 194.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 51.44362, "lon": 7.35258, "name": "Witten" }, "end": { "lat": 41.83476, "lon": -87.61811, "name": "Douglas" }, "waypoint": { "lat": -18.97428, "lon": -49.46212, "name": "Ituiutaba" }, "question": "Is Ituiutaba approximately on the direct path from Witten to Douglas?", "ground_truth": { "answer": false, "direct_distance_km": 6808.1, "via_waypoint_km": 17388.2, "detour_km": 10580.0, "detour_percent": 155.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Witten", " End: Douglas", " Waypoint: Ituiutaba", "Step 2: Calculate direct distance", " Start → End: 6808.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17388.2 km", "Step 4: Calculate detour", " Detour = 17388.2 - 6808.1 = 10580.0 km", " Detour % = (10580.0 / 6808.1) × 100 = 155.4%", "Step 5: Determine if on route (typically < 10% detour)", " 155.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 34.90333, "lon": 116.80667, "name": "Longgu" }, "end": { "lat": 42.88825, "lon": 129.50241, "name": "Yanji" }, "waypoint": { "lat": 8.92901, "lon": -75.02709, "name": "San Benito Abad" }, "question": "Is San Benito Abad approximately on the direct path from Longgu to Yanji?", "ground_truth": { "answer": false, "direct_distance_km": 1409.9, "via_waypoint_km": 28724.3, "detour_km": 27314.4, "detour_percent": 1937.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Longgu", " End: Yanji", " Waypoint: San Benito Abad", "Step 2: Calculate direct distance", " Start → End: 1409.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 28724.3 km", "Step 4: Calculate detour", " Detour = 28724.3 - 1409.9 = 27314.4 km", " Detour % = (27314.4 / 1409.9) × 100 = 1937.3%", "Step 5: Determine if on route (typically < 10% detour)", " 1937.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -16.98333, "lon": 49.85, "name": "Ambodifotatra" }, "end": { "lat": 6.743, "lon": 6.14029, "name": "Ekpoma" }, "waypoint": { "lat": -34.7302, "lon": -56.21915, "name": "Las Piedras" }, "question": "Is Las Piedras approximately on the direct path from Ambodifotatra to Ekpoma?", "ground_truth": { "answer": false, "direct_distance_km": 5480.7, "via_waypoint_km": 18321.4, "detour_km": 12840.7, "detour_percent": 234.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ambodifotatra", " End: Ekpoma", " Waypoint: Las Piedras", "Step 2: Calculate direct distance", " Start → End: 5480.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18321.4 km", "Step 4: Calculate detour", " Detour = 18321.4 - 5480.7 = 12840.7 km", " Detour % = (12840.7 / 5480.7) × 100 = 234.3%", "Step 5: Determine if on route (typically < 10% detour)", " 234.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 54.95893, "lon": 20.47668, "name": "Zelenogradsk" }, "end": { "lat": -27.61025, "lon": 153.05388, "name": "Sunnybank Hills" }, "waypoint": { "lat": 45.50008, "lon": -73.66585, "name": "Saint-Laurent" }, "question": "Is Saint-Laurent approximately on the direct path from Zelenogradsk to Sunnybank Hills?", "ground_truth": { "answer": false, "direct_distance_km": 15162.4, "via_waypoint_km": 21732.0, "detour_km": 6569.6, "detour_percent": 43.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Zelenogradsk", " End: Sunnybank Hills", " Waypoint: Saint-Laurent", "Step 2: Calculate direct distance", " Start → End: 15162.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21732.0 km", "Step 4: Calculate detour", " Detour = 21732.0 - 15162.4 = 6569.6 km", " Detour % = (6569.6 / 15162.4) × 100 = 43.3%", "Step 5: Determine if on route (typically < 10% detour)", " 43.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 27.72625, "lon": 79.65523, "name": "Jalālābād" }, "end": { "lat": 38.34517, "lon": -0.48149, "name": "Alicante" }, "waypoint": { "lat": 4.279, "lon": 21.00284, "name": "Gbadolite" }, "question": "Is Gbadolite approximately on the direct path from Jalālābād to Alicante?", "ground_truth": { "answer": false, "direct_distance_km": 7333.1, "via_waypoint_km": 11084.1, "detour_km": 3751.0, "detour_percent": 51.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Jalālābād", " End: Alicante", " Waypoint: Gbadolite", "Step 2: Calculate direct distance", " Start → End: 7333.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 11084.1 km", "Step 4: Calculate detour", " Detour = 11084.1 - 7333.1 = 3751.0 km", " Detour % = (3751.0 / 7333.1) × 100 = 51.2%", "Step 5: Determine if on route (typically < 10% detour)", " 51.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 42.48918, "lon": 78.39355, "name": "Karakol" }, "end": { "lat": 10.8155, "lon": 78.69651, "name": "Tiruchirappalli" }, "waypoint": { "lat": 35.94204, "lon": -95.88332, "name": "Bixby" }, "question": "Is Bixby approximately on the direct path from Karakol to Tiruchirappalli?", "ground_truth": { "answer": false, "direct_distance_km": 3522.1, "via_waypoint_km": 26059.4, "detour_km": 22537.4, "detour_percent": 639.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Karakol", " End: Tiruchirappalli", " Waypoint: Bixby", "Step 2: Calculate direct distance", " Start → End: 3522.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 26059.4 km", "Step 4: Calculate detour", " Detour = 26059.4 - 3522.1 = 22537.4 km", " Detour % = (22537.4 / 3522.1) × 100 = 639.9%", "Step 5: Determine if on route (typically < 10% detour)", " 639.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -33.67969, "lon": -70.98482, "name": "El Monte" }, "end": { "lat": -26.74056, "lon": -49.17694, "name": "Pomerode" }, "waypoint": { "lat": 52.29583, "lon": 5.1625, "name": "Naarden" }, "question": "Is Naarden approximately on the direct path from El Monte to Pomerode?", "ground_truth": { "answer": false, "direct_distance_km": 2227.7, "via_waypoint_km": 22308.9, "detour_km": 20081.3, "detour_percent": 901.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: El Monte", " End: Pomerode", " Waypoint: Naarden", "Step 2: Calculate direct distance", " Start → End: 2227.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22308.9 km", "Step 4: Calculate detour", " Detour = 22308.9 - 2227.7 = 20081.3 km", " Detour % = (20081.3 / 2227.7) × 100 = 901.5%", "Step 5: Determine if on route (typically < 10% detour)", " 901.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 11.3, "lon": 39.68333, "name": "Hāyk’" }, "end": { "lat": 51.60926, "lon": -3.65823, "name": "Maesteg" }, "waypoint": { "lat": 44.17057, "lon": 66.73376, "name": "Shiyeli" }, "question": "Is Shiyeli approximately on the direct path from Hāyk’ to Maesteg?", "ground_truth": { "answer": false, "direct_distance_km": 5935.8, "via_waypoint_km": 9584.7, "detour_km": 3648.9, "detour_percent": 61.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Hāyk’", " End: Maesteg", " Waypoint: Shiyeli", "Step 2: Calculate direct distance", " Start → End: 5935.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 9584.7 km", "Step 4: Calculate detour", " Detour = 9584.7 - 5935.8 = 3648.9 km", " Detour % = (3648.9 / 5935.8) × 100 = 61.5%", "Step 5: Determine if on route (typically < 10% detour)", " 61.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -32.06003, "lon": 115.955, "name": "Thornlie" }, "end": { "lat": 4.57937, "lon": -74.21682, "name": "Soacha" }, "waypoint": { "lat": 41.93808, "lon": -88.40452, "name": "Wasco" }, "question": "Is Wasco approximately on the direct path from Thornlie to Soacha?", "ground_truth": { "answer": false, "direct_distance_km": 16780.8, "via_waypoint_km": 21986.8, "detour_km": 5206.0, "detour_percent": 31.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Thornlie", " End: Soacha", " Waypoint: Wasco", "Step 2: Calculate direct distance", " Start → End: 16780.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21986.8 km", "Step 4: Calculate detour", " Detour = 21986.8 - 16780.8 = 5206.0 km", " Detour % = (5206.0 / 16780.8) × 100 = 31.0%", "Step 5: Determine if on route (typically < 10% detour)", " 31.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 18.34536, "lon": -99.5413, "name": "Iguala de la Independencia" }, "end": { "lat": 40.74649, "lon": -74.15626, "name": "Harrison" }, "waypoint": { "lat": 6.06846, "lon": -8.13559, "name": "Zwedru" }, "question": "Is Zwedru approximately on the direct path from Iguala de la Independencia to Harrison?", "ground_truth": { "answer": false, "direct_distance_km": 3472.4, "via_waypoint_km": 17500.4, "detour_km": 14028.0, "detour_percent": 404.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Iguala de la Independencia", " End: Harrison", " Waypoint: Zwedru", "Step 2: Calculate direct distance", " Start → End: 3472.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17500.4 km", "Step 4: Calculate detour", " Detour = 17500.4 - 3472.4 = 14028.0 km", " Detour % = (14028.0 / 3472.4) × 100 = 404.0%", "Step 5: Determine if on route (typically < 10% detour)", " 404.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -21.75778, "lon": -48.82889, "name": "Ibitinga" }, "end": { "lat": 35.9441, "lon": 5.03107, "name": "Râs el Oued" }, "waypoint": { "lat": 24.65667, "lon": -107.545, "name": "Licenciado Benito Juárez" }, "question": "Is Licenciado Benito Juárez approximately on the direct path from Ibitinga to Râs el Oued?", "ground_truth": { "answer": false, "direct_distance_km": 8556.1, "via_waypoint_km": 18422.2, "detour_km": 9866.1, "detour_percent": 115.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ibitinga", " End: Râs el Oued", " Waypoint: Licenciado Benito Juárez", "Step 2: Calculate direct distance", " Start → End: 8556.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18422.2 km", "Step 4: Calculate detour", " Detour = 18422.2 - 8556.1 = 9866.1 km", " Detour % = (9866.1 / 8556.1) × 100 = 115.3%", "Step 5: Determine if on route (typically < 10% detour)", " 115.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 27.3126, "lon": 30.96987, "name": "Manfalūţ" }, "end": { "lat": -22.10809, "lon": -56.53253, "name": "Bela Vista" }, "waypoint": { "lat": 35.87601, "lon": 14.472, "name": "Qormi" }, "question": "Is Qormi approximately on the direct path from Manfalūţ to Bela Vista?", "ground_truth": { "answer": true, "direct_distance_km": 10881.9, "via_waypoint_km": 11681.8, "detour_km": 799.9, "detour_percent": 7.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Manfalūţ", " End: Bela Vista", " Waypoint: Qormi", "Step 2: Calculate direct distance", " Start → End: 10881.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 11681.8 km", "Step 4: Calculate detour", " Detour = 11681.8 - 10881.9 = 799.9 km", " Detour % = (799.9 / 10881.9) × 100 = 7.4%", "Step 5: Determine if on route (typically < 10% detour)", " 7.4% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -7.19111, "lon": -48.20722, "name": "Araguaína" }, "end": { "lat": 41.53338, "lon": -81.61735, "name": "Glenville" }, "waypoint": { "lat": 40.72593, "lon": -73.51429, "name": "Levittown" }, "question": "Is Levittown approximately on the direct path from Araguaína to Glenville?", "ground_truth": { "answer": true, "direct_distance_km": 6396.3, "via_waypoint_km": 6607.6, "detour_km": 211.3, "detour_percent": 3.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Araguaína", " End: Glenville", " Waypoint: Levittown", "Step 2: Calculate direct distance", " Start → End: 6396.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 6607.6 km", "Step 4: Calculate detour", " Detour = 6607.6 - 6396.3 = 211.3 km", " Detour % = (211.3 / 6396.3) × 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": 50.5442, "lon": 9.71792, "name": "Künzell" }, "end": { "lat": -33.78269, "lon": 151.04888, "name": "Carlingford" }, "waypoint": { "lat": -3.13901, "lon": -44.32519, "name": "Santa Rita" }, "question": "Is Santa Rita approximately on the direct path from Künzell to Carlingford?", "ground_truth": { "answer": false, "direct_distance_km": 16381.5, "via_waypoint_km": 23467.2, "detour_km": 7085.7, "detour_percent": 43.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Künzell", " End: Carlingford", " Waypoint: Santa Rita", "Step 2: Calculate direct distance", " Start → End: 16381.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23467.2 km", "Step 4: Calculate detour", " Detour = 23467.2 - 16381.5 = 7085.7 km", " Detour % = (7085.7 / 16381.5) × 100 = 43.3%", "Step 5: Determine if on route (typically < 10% detour)", " 43.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 35.29778, "lon": 126.78444, "name": "Jangseong" }, "end": { "lat": 54.03374, "lon": 22.50704, "name": "Olecko" }, "waypoint": { "lat": 42.97096, "lon": 132.41035, "name": "Fokino" }, "question": "Is Fokino approximately on the direct path from Jangseong to Olecko?", "ground_truth": { "answer": true, "direct_distance_km": 7733.1, "via_waypoint_km": 8329.2, "detour_km": 596.1, "detour_percent": 7.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Jangseong", " End: Olecko", " Waypoint: Fokino", "Step 2: Calculate direct distance", " Start → End: 7733.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 8329.2 km", "Step 4: Calculate detour", " Detour = 8329.2 - 7733.1 = 596.1 km", " Detour % = (596.1 / 7733.1) × 100 = 7.7%", "Step 5: Determine if on route (typically < 10% detour)", " 7.7% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 30.59683, "lon": 30.89931, "name": "Ash Shuhadā’" }, "end": { "lat": 43.60426, "lon": 1.44367, "name": "Toulouse" }, "waypoint": { "lat": 29.44433, "lon": 78.43646, "name": "Nagīna" }, "question": "Is Nagīna approximately on the direct path from Ash Shuhadā’ to Toulouse?", "ground_truth": { "answer": false, "direct_distance_km": 2963.2, "via_waypoint_km": 11354.8, "detour_km": 8391.5, "detour_percent": 283.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ash Shuhadā’", " End: Toulouse", " Waypoint: Nagīna", "Step 2: Calculate direct distance", " Start → End: 2963.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 11354.8 km", "Step 4: Calculate detour", " Detour = 11354.8 - 2963.2 = 8391.5 km", " Detour % = (8391.5 / 2963.2) × 100 = 283.2%", "Step 5: Determine if on route (typically < 10% detour)", " 283.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 55.03973, "lon": -1.44713, "name": "Whitley Bay" }, "end": { "lat": 51.82166, "lon": -1.2886, "name": "Kidlington" }, "waypoint": { "lat": 33.46632, "lon": 9.0203, "name": "Douz" }, "question": "Is Douz approximately on the direct path from Whitley Bay to Kidlington?", "ground_truth": { "answer": false, "direct_distance_km": 358.0, "via_waypoint_km": 4736.3, "detour_km": 4378.3, "detour_percent": 1223.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Whitley Bay", " End: Kidlington", " Waypoint: Douz", "Step 2: Calculate direct distance", " Start → End: 358.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 4736.3 km", "Step 4: Calculate detour", " Detour = 4736.3 - 358.0 = 4378.3 km", " Detour % = (4378.3 / 358.0) × 100 = 1223.0%", "Step 5: Determine if on route (typically < 10% detour)", " 1223.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 37.35453, "lon": 79.72101, "name": "Kuoyiqi" }, "end": { "lat": 39.7, "lon": 141.15, "name": "Morioka" }, "waypoint": { "lat": -27.89944, "lon": -53.31361, "name": "Palmeira das Missões" }, "question": "Is Palmeira das Missões approximately on the direct path from Kuoyiqi to Morioka?", "ground_truth": { "answer": false, "direct_distance_km": 5243.0, "via_waypoint_km": 33687.3, "detour_km": 28444.3, "detour_percent": 542.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kuoyiqi", " End: Morioka", " Waypoint: Palmeira das Missões", "Step 2: Calculate direct distance", " Start → End: 5243.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 33687.3 km", "Step 4: Calculate detour", " Detour = 33687.3 - 5243.0 = 28444.3 km", " Detour % = (28444.3 / 5243.0) × 100 = 542.5%", "Step 5: Determine if on route (typically < 10% detour)", " 542.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 48.99712, "lon": 2.28249, "name": "Eaubonne" }, "end": { "lat": 21.3374, "lon": -158.09676, "name": "Makakilo / Kapolei / Honokai Hale" }, "waypoint": { "lat": -2.30741, "lon": -78.12026, "name": "Macas" }, "question": "Is Macas approximately on the direct path from Eaubonne to Makakilo / Kapolei / Honokai Hale?", "ground_truth": { "answer": false, "direct_distance_km": 11955.7, "via_waypoint_km": 18569.7, "detour_km": 6614.0, "detour_percent": 55.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Eaubonne", " End: Makakilo / Kapolei / Honokai Hale", " Waypoint: Macas", "Step 2: Calculate direct distance", " Start → End: 11955.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18569.7 km", "Step 4: Calculate detour", " Detour = 18569.7 - 11955.7 = 6614.0 km", " Detour % = (6614.0 / 11955.7) × 100 = 55.3%", "Step 5: Determine if on route (typically < 10% detour)", " 55.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 33.39437, "lon": -104.52491, "name": "Roswell" }, "end": { "lat": 19.81396, "lon": -101.79157, "name": "Zacapú" }, "waypoint": { "lat": -23.55, "lon": -46.61667, "name": "Brás" }, "question": "Is Brás approximately on the direct path from Roswell to Zacapú?", "ground_truth": { "answer": false, "direct_distance_km": 1534.1, "via_waypoint_km": 16492.2, "detour_km": 14958.1, "detour_percent": 975.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Roswell", " End: Zacapú", " Waypoint: Brás", "Step 2: Calculate direct distance", " Start → End: 1534.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16492.2 km", "Step 4: Calculate detour", " Detour = 16492.2 - 1534.1 = 14958.1 km", " Detour % = (14958.1 / 1534.1) × 100 = 975.0%", "Step 5: Determine if on route (typically < 10% detour)", " 975.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 35.20855, "lon": 4.17402, "name": "Bou Saâda" }, "end": { "lat": 10.06416, "lon": 76.24565, "name": "Kadamakudi" }, "waypoint": { "lat": -8.07361, "lon": -37.26444, "name": "Sertânia" }, "question": "Is Sertânia approximately on the direct path from Bou Saâda to Kadamakudi?", "ground_truth": { "answer": false, "direct_distance_km": 7740.4, "via_waypoint_km": 19205.5, "detour_km": 11465.2, "detour_percent": 148.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Bou Saâda", " End: Kadamakudi", " Waypoint: Sertânia", "Step 2: Calculate direct distance", " Start → End: 7740.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19205.5 km", "Step 4: Calculate detour", " Detour = 19205.5 - 7740.4 = 11465.2 km", " Detour % = (11465.2 / 7740.4) × 100 = 148.1%", "Step 5: Determine if on route (typically < 10% detour)", " 148.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 1.16667, "lon": 110.56667, "name": "Serian" }, "end": { "lat": -10.33528, "lon": -67.18556, "name": "Plácido de Castro" }, "waypoint": { "lat": 1.3278, "lon": 172.97696, "name": "Tarawa" }, "question": "Is Tarawa approximately on the direct path from Serian to Plácido de Castro?", "ground_truth": { "answer": true, "direct_distance_km": 18965.8, "via_waypoint_km": 20233.5, "detour_km": 1267.8, "detour_percent": 6.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Serian", " End: Plácido de Castro", " Waypoint: Tarawa", "Step 2: Calculate direct distance", " Start → End: 18965.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20233.5 km", "Step 4: Calculate detour", " Detour = 20233.5 - 18965.8 = 1267.8 km", " Detour % = (1267.8 / 18965.8) × 100 = 6.7%", "Step 5: Determine if on route (typically < 10% detour)", " 6.7% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 35.67135, "lon": 139.73442, "name": "Akasaka" }, "end": { "lat": 54.0, "lon": -6.41667, "name": "Dundalk" }, "waypoint": { "lat": 47.43333, "lon": 19.11667, "name": "Pesterzsébet" }, "question": "Is Pesterzsébet approximately on the direct path from Akasaka to Dundalk?", "ground_truth": { "answer": false, "direct_distance_km": 9528.0, "via_waypoint_km": 10977.9, "detour_km": 1449.8, "detour_percent": 15.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Akasaka", " End: Dundalk", " Waypoint: Pesterzsébet", "Step 2: Calculate direct distance", " Start → End: 9528.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 10977.9 km", "Step 4: Calculate detour", " Detour = 10977.9 - 9528.0 = 1449.8 km", " Detour % = (1449.8 / 9528.0) × 100 = 15.2%", "Step 5: Determine if on route (typically < 10% detour)", " 15.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 41.5055, "lon": 15.3391, "name": "Lucera" }, "end": { "lat": 32.06124, "lon": 34.85618, "name": "Kiryat Ono" }, "waypoint": { "lat": -36.88158, "lon": 174.76204, "name": "Mount Eden" }, "question": "Is Mount Eden approximately on the direct path from Lucera to Kiryat Ono?", "ground_truth": { "answer": false, "direct_distance_km": 2023.6, "via_waypoint_km": 34501.8, "detour_km": 32478.2, "detour_percent": 1605.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Lucera", " End: Kiryat Ono", " Waypoint: Mount Eden", "Step 2: Calculate direct distance", " Start → End: 2023.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 34501.8 km", "Step 4: Calculate detour", " Detour = 34501.8 - 2023.6 = 32478.2 km", " Detour % = (32478.2 / 2023.6) × 100 = 1605.0%", "Step 5: Determine if on route (typically < 10% detour)", " 1605.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 12.55, "lon": 37.06667, "name": "Āykel" }, "end": { "lat": -17.03917, "lon": -39.53111, "name": "Itamaraju" }, "waypoint": { "lat": 2.04183, "lon": -77.21646, "name": "Balboa" }, "question": "Is Balboa approximately on the direct path from Āykel to Itamaraju?", "ground_truth": { "answer": false, "direct_distance_km": 9031.2, "via_waypoint_km": 17229.3, "detour_km": 8198.0, "detour_percent": 90.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Āykel", " End: Itamaraju", " Waypoint: Balboa", "Step 2: Calculate direct distance", " Start → End: 9031.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17229.3 km", "Step 4: Calculate detour", " Detour = 17229.3 - 9031.2 = 8198.0 km", " Detour % = (8198.0 / 9031.2) × 100 = 90.8%", "Step 5: Determine if on route (typically < 10% detour)", " 90.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 6.72028, "lon": 124.80194, "name": "Buluan" }, "end": { "lat": 40.46972, "lon": 32.65056, "name": "Kızılcahamam" }, "waypoint": { "lat": -0.9, "lon": 30.41667, "name": "Nyachera" }, "question": "Is Nyachera approximately on the direct path from Buluan to Kızılcahamam?", "ground_truth": { "answer": false, "direct_distance_km": 9704.2, "via_waypoint_km": 15109.2, "detour_km": 5404.9, "detour_percent": 55.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Buluan", " End: Kızılcahamam", " Waypoint: Nyachera", "Step 2: Calculate direct distance", " Start → End: 9704.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15109.2 km", "Step 4: Calculate detour", " Detour = 15109.2 - 9704.2 = 5404.9 km", " Detour % = (5404.9 / 9704.2) × 100 = 55.7%", "Step 5: Determine if on route (typically < 10% detour)", " 55.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 21.85563, "lon": 111.96272, "name": "Yangjiang" }, "end": { "lat": 28.18784, "lon": 75.50012, "name": "Bagar" }, "waypoint": { "lat": -38.14711, "lon": 144.36069, "name": "Geelong" }, "question": "Is Geelong approximately on the direct path from Yangjiang to Bagar?", "ground_truth": { "answer": false, "direct_distance_km": 3726.5, "via_waypoint_km": 17754.2, "detour_km": 14027.8, "detour_percent": 376.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Yangjiang", " End: Bagar", " Waypoint: Geelong", "Step 2: Calculate direct distance", " Start → End: 3726.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17754.2 km", "Step 4: Calculate detour", " Detour = 17754.2 - 3726.5 = 14027.8 km", " Detour % = (14027.8 / 3726.5) × 100 = 376.4%", "Step 5: Determine if on route (typically < 10% detour)", " 376.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -9.48333, "lon": 33.9, "name": "Ipinda" }, "end": { "lat": 39.31111, "lon": -94.92246, "name": "Leavenworth" }, "waypoint": { "lat": 28.71974, "lon": 77.26781, "name": "Mustafābād" }, "question": "Is Mustafābād approximately on the direct path from Ipinda to Leavenworth?", "ground_truth": { "answer": false, "direct_distance_km": 13971.4, "via_waypoint_km": 18707.2, "detour_km": 4735.8, "detour_percent": 33.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ipinda", " End: Leavenworth", " Waypoint: Mustafābād", "Step 2: Calculate direct distance", " Start → End: 13971.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18707.2 km", "Step 4: Calculate detour", " Detour = 18707.2 - 13971.4 = 4735.8 km", " Detour % = (4735.8 / 13971.4) × 100 = 33.9%", "Step 5: Determine if on route (typically < 10% detour)", " 33.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 45.40008, "lon": -74.13256, "name": "Saint-Lazare" }, "end": { "lat": 16.87902, "lon": -95.03939, "name": "Matías Romero" }, "waypoint": { "lat": 52.76797, "lon": 87.88803, "name": "Tashtagol" }, "question": "Is Tashtagol approximately on the direct path from Saint-Lazare to Matías Romero?", "ground_truth": { "answer": false, "direct_distance_km": 3719.0, "via_waypoint_km": 21231.1, "detour_km": 17512.1, "detour_percent": 470.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Saint-Lazare", " End: Matías Romero", " Waypoint: Tashtagol", "Step 2: Calculate direct distance", " Start → End: 3719.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 21231.1 km", "Step 4: Calculate detour", " Detour = 21231.1 - 3719.0 = 17512.1 km", " Detour % = (17512.1 / 3719.0) × 100 = 470.9%", "Step 5: Determine if on route (typically < 10% detour)", " 470.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -19.95944, "lon": -43.41528, "name": "Santa Bárbara" }, "end": { "lat": 26.31688, "lon": 89.66549, "name": "Tufānganj" }, "waypoint": { "lat": 33.54453, "lon": -0.28117, "name": "Mecheria" }, "question": "Is Mecheria approximately on the direct path from Santa Bárbara to Tufānganj?", "ground_truth": { "answer": true, "direct_distance_km": 15191.3, "via_waypoint_km": 15929.2, "detour_km": 737.9, "detour_percent": 4.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Santa Bárbara", " End: Tufānganj", " Waypoint: Mecheria", "Step 2: Calculate direct distance", " Start → End: 15191.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15929.2 km", "Step 4: Calculate detour", " Detour = 15929.2 - 15191.3 = 737.9 km", " Detour % = (737.9 / 15191.3) × 100 = 4.9%", "Step 5: Determine if on route (typically < 10% detour)", " 4.9% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 29.86371, "lon": 67.33018, "name": "Mach" }, "end": { "lat": 51.64205, "lon": 15.13727, "name": "Żary" }, "waypoint": { "lat": 15.64925, "lon": 32.53458, "name": "Khartoum North" }, "question": "Is Khartoum North approximately on the direct path from Mach to Żary?", "ground_truth": { "answer": false, "direct_distance_km": 4883.2, "via_waypoint_km": 8171.4, "detour_km": 3288.1, "detour_percent": 67.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Mach", " End: Żary", " Waypoint: Khartoum North", "Step 2: Calculate direct distance", " Start → End: 4883.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 8171.4 km", "Step 4: Calculate detour", " Detour = 8171.4 - 4883.2 = 3288.1 km", " Detour % = (3288.1 / 4883.2) × 100 = 67.3%", "Step 5: Determine if on route (typically < 10% detour)", " 67.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 59.97305, "lon": 30.47607, "name": "Krasnogvargeisky" }, "end": { "lat": 32.01778, "lon": 36.04639, "name": "Russeifa" }, "waypoint": { "lat": -3.54964, "lon": 143.63229, "name": "Wewak" }, "question": "Is Wewak approximately on the direct path from Krasnogvargeisky to Russeifa?", "ground_truth": { "answer": false, "direct_distance_km": 3135.6, "via_waypoint_km": 23489.6, "detour_km": 20353.9, "detour_percent": 649.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Krasnogvargeisky", " End: Russeifa", " Waypoint: Wewak", "Step 2: Calculate direct distance", " Start → End: 3135.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23489.6 km", "Step 4: Calculate detour", " Detour = 23489.6 - 3135.6 = 20353.9 km", " Detour % = (20353.9 / 3135.6) × 100 = 649.1%", "Step 5: Determine if on route (typically < 10% detour)", " 649.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 30.27519, "lon": -89.78117, "name": "Slidell" }, "end": { "lat": 36.48416, "lon": 101.56328, "name": "Lushar" }, "waypoint": { "lat": 41.91957, "lon": 45.47002, "name": "Telavi" }, "question": "Is Telavi approximately on the direct path from Slidell to Lushar?", "ground_truth": { "answer": false, "direct_distance_km": 12498.0, "via_waypoint_km": 15555.9, "detour_km": 3057.9, "detour_percent": 24.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Slidell", " End: Lushar", " Waypoint: Telavi", "Step 2: Calculate direct distance", " Start → End: 12498.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15555.9 km", "Step 4: Calculate detour", " Detour = 15555.9 - 12498.0 = 3057.9 km", " Detour % = (3057.9 / 12498.0) × 100 = 24.5%", "Step 5: Determine if on route (typically < 10% detour)", " 24.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 25.40304, "lon": 79.74877, "name": "Charkhāri" }, "end": { "lat": -28.65083, "lon": -49.21, "name": "Morro da Fumaça" }, "waypoint": { "lat": -12.23333, "lon": -38.75, "name": "Coração de Maria" }, "question": "Is Coração de Maria approximately on the direct path from Charkhāri to Morro da Fumaça?", "ground_truth": { "answer": true, "direct_distance_km": 14984.4, "via_waypoint_km": 15556.2, "detour_km": 571.8, "detour_percent": 3.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Charkhāri", " End: Morro da Fumaça", " Waypoint: Coração de Maria", "Step 2: Calculate direct distance", " Start → End: 14984.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15556.2 km", "Step 4: Calculate detour", " Detour = 15556.2 - 14984.4 = 571.8 km", " Detour % = (571.8 / 14984.4) × 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": -23.34722, "lon": -52.09528, "name": "Mandaguaçu" }, "end": { "lat": -27.46784, "lon": -58.8344, "name": "Corrientes" }, "waypoint": { "lat": -3.93938, "lon": 39.74877, "name": "Mtwapa" }, "question": "Is Mtwapa approximately on the direct path from Mandaguaçu to Corrientes?", "ground_truth": { "answer": false, "direct_distance_km": 817.1, "via_waypoint_km": 20670.3, "detour_km": 19853.1, "detour_percent": 2429.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Mandaguaçu", " End: Corrientes", " Waypoint: Mtwapa", "Step 2: Calculate direct distance", " Start → End: 817.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20670.3 km", "Step 4: Calculate detour", " Detour = 20670.3 - 817.1 = 19853.1 km", " Detour % = (19853.1 / 817.1) × 100 = 2429.7%", "Step 5: Determine if on route (typically < 10% detour)", " 2429.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 14.5266, "lon": 121.1536, "name": "Angono" }, "end": { "lat": 19.20815, "lon": 73.8752, "name": "Junnar" }, "waypoint": { "lat": -13.55, "lon": 16.63333, "name": "Chitembo" }, "question": "Is Chitembo approximately on the direct path from Angono to Junnar?", "ground_truth": { "answer": false, "direct_distance_km": 5043.3, "via_waypoint_km": 19161.9, "detour_km": 14118.6, "detour_percent": 280.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Angono", " End: Junnar", " Waypoint: Chitembo", "Step 2: Calculate direct distance", " Start → End: 5043.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19161.9 km", "Step 4: Calculate detour", " Detour = 19161.9 - 5043.3 = 14118.6 km", " Detour % = (14118.6 / 5043.3) × 100 = 280.0%", "Step 5: Determine if on route (typically < 10% detour)", " 280.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 7.14167, "lon": 124.38056, "name": "Pagaluñgan" }, "end": { "lat": 37.48685, "lon": 37.29961, "name": "Pazarcık" }, "waypoint": { "lat": 10.02502, "lon": -74.62279, "name": "Chivolo" }, "question": "Is Chivolo approximately on the direct path from Pagaluñgan to Pazarcık?", "ground_truth": { "answer": false, "direct_distance_km": 9268.4, "via_waypoint_km": 28372.0, "detour_km": 19103.6, "detour_percent": 206.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Pagaluñgan", " End: Pazarcık", " Waypoint: Chivolo", "Step 2: Calculate direct distance", " Start → End: 9268.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 28372.0 km", "Step 4: Calculate detour", " Detour = 28372.0 - 9268.4 = 19103.6 km", " Detour % = (19103.6 / 9268.4) × 100 = 206.1%", "Step 5: Determine if on route (typically < 10% detour)", " 206.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 1.67439, "lon": 109.85171, "name": "Lundu" }, "end": { "lat": 29.32704, "lon": 78.57429, "name": "Sherkot" }, "waypoint": { "lat": 12.19732, "lon": -86.09706, "name": "Tipitapa" }, "question": "Is Tipitapa approximately on the direct path from Lundu to Sherkot?", "ground_truth": { "answer": false, "direct_distance_km": 4516.0, "via_waypoint_km": 32787.3, "detour_km": 28271.3, "detour_percent": 626.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Lundu", " End: Sherkot", " Waypoint: Tipitapa", "Step 2: Calculate direct distance", " Start → End: 4516.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 32787.3 km", "Step 4: Calculate detour", " Detour = 32787.3 - 4516.0 = 28271.3 km", " Detour % = (28271.3 / 4516.0) × 100 = 626.0%", "Step 5: Determine if on route (typically < 10% detour)", " 626.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 5.10535, "lon": -1.2466, "name": "Cape Coast" }, "end": { "lat": 43.65126, "lon": 17.96082, "name": "Konjic" }, "waypoint": { "lat": 14.75778, "lon": 120.94833, "name": "Marilao" }, "question": "Is Marilao approximately on the direct path from Cape Coast to Konjic?", "ground_truth": { "answer": false, "direct_distance_km": 4681.2, "via_waypoint_km": 23162.9, "detour_km": 18481.8, "detour_percent": 394.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Cape Coast", " End: Konjic", " Waypoint: Marilao", "Step 2: Calculate direct distance", " Start → End: 4681.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23162.9 km", "Step 4: Calculate detour", " Detour = 23162.9 - 4681.2 = 18481.8 km", " Detour % = (18481.8 / 4681.2) × 100 = 394.8%", "Step 5: Determine if on route (typically < 10% detour)", " 394.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 50.07064, "lon": 14.30051, "name": "Řepy" }, "end": { "lat": 53.13333, "lon": 46.58333, "name": "Zarechnyy" }, "waypoint": { "lat": 30.33241, "lon": -5.8384, "name": "Zagora" }, "question": "Is Zagora approximately on the direct path from Řepy to Zarechnyy?", "ground_truth": { "answer": false, "direct_distance_km": 2235.9, "via_waypoint_km": 7651.9, "detour_km": 5416.0, "detour_percent": 242.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Řepy", " End: Zarechnyy", " Waypoint: Zagora", "Step 2: Calculate direct distance", " Start → End: 2235.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 7651.9 km", "Step 4: Calculate detour", " Detour = 7651.9 - 2235.9 = 5416.0 km", " Detour % = (5416.0 / 2235.9) × 100 = 242.2%", "Step 5: Determine if on route (typically < 10% detour)", " 242.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 54.0366, "lon": 35.77088, "name": "Kozel’sk" }, "end": { "lat": 48.19579, "lon": -114.31291, "name": "Kalispell" }, "waypoint": { "lat": -23.70675, "lon": -46.64982, "name": "Pedreira" }, "question": "Is Pedreira approximately on the direct path from Kozel’sk to Kalispell?", "ground_truth": { "answer": false, "direct_distance_km": 8305.2, "via_waypoint_km": 22086.4, "detour_km": 13781.3, "detour_percent": 165.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kozel’sk", " End: Kalispell", " Waypoint: Pedreira", "Step 2: Calculate direct distance", " Start → End: 8305.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22086.4 km", "Step 4: Calculate detour", " Detour = 22086.4 - 8305.2 = 13781.3 km", " Detour % = (13781.3 / 8305.2) × 100 = 165.9%", "Step 5: Determine if on route (typically < 10% detour)", " 165.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 44.83804, "lon": 11.62057, "name": "Ferrara" }, "end": { "lat": 24.9896, "lon": 121.3187, "name": "Taoyuan" }, "waypoint": { "lat": 40.19944, "lon": 124.53167, "name": "Uiju" }, "question": "Is Uiju approximately on the direct path from Ferrara to Taoyuan?", "ground_truth": { "answer": true, "direct_distance_km": 9489.4, "via_waypoint_km": 10153.0, "detour_km": 663.5, "detour_percent": 7.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ferrara", " End: Taoyuan", " Waypoint: Uiju", "Step 2: Calculate direct distance", " Start → End: 9489.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 10153.0 km", "Step 4: Calculate detour", " Detour = 10153.0 - 9489.4 = 663.5 km", " Detour % = (663.5 / 9489.4) × 100 = 7.0%", "Step 5: Determine if on route (typically < 10% detour)", " 7.0% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 12.75142, "lon": 77.80169, "name": "Mūkondapalli" }, "end": { "lat": 19.8933, "lon": 102.1525, "name": "Luang Prabang" }, "waypoint": { "lat": 11.0, "lon": 36.91667, "name": "Injibara" }, "question": "Is Injibara approximately on the direct path from Mūkondapalli to Luang Prabang?", "ground_truth": { "answer": false, "direct_distance_km": 2713.7, "via_waypoint_km": 11471.3, "detour_km": 8757.6, "detour_percent": 322.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Mūkondapalli", " End: Luang Prabang", " Waypoint: Injibara", "Step 2: Calculate direct distance", " Start → End: 2713.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 11471.3 km", "Step 4: Calculate detour", " Detour = 11471.3 - 2713.7 = 8757.6 km", " Detour % = (8757.6 / 2713.7) × 100 = 322.7%", "Step 5: Determine if on route (typically < 10% detour)", " 322.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 43.57803, "lon": 7.05451, "name": "Vallauris" }, "end": { "lat": 56.73912, "lon": 38.85966, "name": "Pereslavl’-Zalesskiy" }, "waypoint": { "lat": -6.70111, "lon": -79.90611, "name": "Lambayeque" }, "question": "Is Lambayeque approximately on the direct path from Vallauris to Pereslavl’-Zalesskiy?", "ground_truth": { "answer": false, "direct_distance_km": 2660.4, "via_waypoint_km": 22628.8, "detour_km": 19968.4, "detour_percent": 750.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Vallauris", " End: Pereslavl’-Zalesskiy", " Waypoint: Lambayeque", "Step 2: Calculate direct distance", " Start → End: 2660.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 22628.8 km", "Step 4: Calculate detour", " Detour = 22628.8 - 2660.4 = 19968.4 km", " Detour % = (19968.4 / 2660.4) × 100 = 750.6%", "Step 5: Determine if on route (typically < 10% detour)", " 750.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 40.8351, "lon": -73.13122, "name": "Lake Ronkonkoma" }, "end": { "lat": -32.61841, "lon": -60.15478, "name": "Victoria" }, "waypoint": { "lat": -9.90971, "lon": -36.35611, "name": "Teotônio Vilela" }, "question": "Is Teotônio Vilela approximately on the direct path from Lake Ronkonkoma to Victoria?", "ground_truth": { "answer": false, "direct_distance_km": 8275.6, "via_waypoint_km": 10296.8, "detour_km": 2021.2, "detour_percent": 24.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Lake Ronkonkoma", " End: Victoria", " Waypoint: Teotônio Vilela", "Step 2: Calculate direct distance", " Start → End: 8275.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 10296.8 km", "Step 4: Calculate detour", " Detour = 10296.8 - 8275.6 = 2021.2 km", " Detour % = (2021.2 / 8275.6) × 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": 11.45207, "lon": 9.47856, "name": "Birnin Kudu" }, "end": { "lat": 39.62839, "lon": -84.15938, "name": "Centerville" }, "waypoint": { "lat": -5.50361, "lon": -41.32333, "name": "São Miguel do Tapuio" }, "question": "Is São Miguel do Tapuio approximately on the direct path from Birnin Kudu to Centerville?", "ground_truth": { "answer": false, "direct_distance_km": 9505.4, "via_waypoint_km": 12591.7, "detour_km": 3086.4, "detour_percent": 32.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Birnin Kudu", " End: Centerville", " Waypoint: São Miguel do Tapuio", "Step 2: Calculate direct distance", " Start → End: 9505.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12591.7 km", "Step 4: Calculate detour", " Detour = 12591.7 - 9505.4 = 3086.4 km", " Detour % = (3086.4 / 9505.4) × 100 = 32.5%", "Step 5: Determine if on route (typically < 10% detour)", " 32.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 34.75417, "lon": 105.02472, "name": "Luomen" }, "end": { "lat": 19.88239, "lon": 74.47605, "name": "Kopargaon" }, "waypoint": { "lat": 18.45, "lon": -69.6, "name": "Boca Chica" }, "question": "Is Boca Chica approximately on the direct path from Luomen to Kopargaon?", "ground_truth": { "answer": false, "direct_distance_km": 3421.1, "via_waypoint_km": 28297.4, "detour_km": 24876.4, "detour_percent": 727.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Luomen", " End: Kopargaon", " Waypoint: Boca Chica", "Step 2: Calculate direct distance", " Start → End: 3421.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 28297.4 km", "Step 4: Calculate detour", " Detour = 28297.4 - 3421.1 = 24876.4 km", " Detour % = (24876.4 / 3421.1) × 100 = 727.2%", "Step 5: Determine if on route (typically < 10% detour)", " 727.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 1.21456, "lon": -77.27846, "name": "Pasto" }, "end": { "lat": 52.93592, "lon": 70.18895, "name": "Shchuchinsk" }, "waypoint": { "lat": 41.13361, "lon": 29.04639, "name": "Tarabya" }, "question": "Is Tarabya approximately on the direct path from Pasto to Shchuchinsk?", "ground_truth": { "answer": true, "direct_distance_km": 13278.2, "via_waypoint_km": 14601.9, "detour_km": 1323.7, "detour_percent": 10.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Pasto", " End: Shchuchinsk", " Waypoint: Tarabya", "Step 2: Calculate direct distance", " Start → End: 13278.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14601.9 km", "Step 4: Calculate detour", " Detour = 14601.9 - 13278.2 = 1323.7 km", " Detour % = (1323.7 / 13278.2) × 100 = 10.0%", "Step 5: Determine if on route (typically < 10% detour)", " 10.0% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 35.59548, "lon": 139.66535, "name": "Den’enchōfu" }, "end": { "lat": 25.5022, "lon": 86.46708, "name": "Khagaria" }, "waypoint": { "lat": 47.29722, "lon": -1.4921, "name": "Carquefou" }, "question": "Is Carquefou approximately on the direct path from Den’enchōfu to Khagaria?", "ground_truth": { "answer": false, "direct_distance_km": 5153.8, "via_waypoint_km": 17828.4, "detour_km": 12674.6, "detour_percent": 245.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Den’enchōfu", " End: Khagaria", " Waypoint: Carquefou", "Step 2: Calculate direct distance", " Start → End: 5153.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17828.4 km", "Step 4: Calculate detour", " Detour = 17828.4 - 5153.8 = 12674.6 km", " Detour % = (12674.6 / 5153.8) × 100 = 245.9%", "Step 5: Determine if on route (typically < 10% detour)", " 245.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -3.71472, "lon": 137.98528, "name": "Mulia" }, "end": { "lat": 41.25832, "lon": 67.96991, "name": "Shardara" }, "waypoint": { "lat": 40.9276, "lon": -73.99736, "name": "Bergenfield" }, "question": "Is Bergenfield approximately on the direct path from Mulia to Shardara?", "ground_truth": { "answer": false, "direct_distance_km": 8635.8, "via_waypoint_km": 24893.9, "detour_km": 16258.1, "detour_percent": 188.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Mulia", " End: Shardara", " Waypoint: Bergenfield", "Step 2: Calculate direct distance", " Start → End: 8635.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24893.9 km", "Step 4: Calculate detour", " Detour = 24893.9 - 8635.8 = 16258.1 km", " Detour % = (16258.1 / 8635.8) × 100 = 188.3%", "Step 5: Determine if on route (typically < 10% detour)", " 188.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 25.68564, "lon": 82.41106, "name": "Machhlīshahr" }, "end": { "lat": 33.72672, "lon": -84.27246, "name": "Candler-McAfee" }, "waypoint": { "lat": -7.31333, "lon": -38.94556, "name": "Milagres" }, "question": "Is Milagres approximately on the direct path from Machhlīshahr to Candler-McAfee?", "ground_truth": { "answer": false, "direct_distance_km": 13260.6, "via_waypoint_km": 20096.9, "detour_km": 6836.3, "detour_percent": 51.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Machhlīshahr", " End: Candler-McAfee", " Waypoint: Milagres", "Step 2: Calculate direct distance", " Start → End: 13260.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20096.9 km", "Step 4: Calculate detour", " Detour = 20096.9 - 13260.6 = 6836.3 km", " Detour % = (6836.3 / 13260.6) × 100 = 51.6%", "Step 5: Determine if on route (typically < 10% detour)", " 51.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -41.21667, "lon": 174.91667, "name": "Lower Hutt" }, "end": { "lat": 53.44852, "lon": -2.35419, "name": "Urmston" }, "waypoint": { "lat": 30.61927, "lon": 31.46165, "name": "Al Qanāyāt" }, "question": "Is Al Qanāyāt approximately on the direct path from Lower Hutt to Urmston?", "ground_truth": { "answer": true, "direct_distance_km": 18639.8, "via_waypoint_km": 20262.1, "detour_km": 1622.4, "detour_percent": 8.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Lower Hutt", " End: Urmston", " Waypoint: Al Qanāyāt", "Step 2: Calculate direct distance", " Start → End: 18639.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20262.1 km", "Step 4: Calculate detour", " Detour = 20262.1 - 18639.8 = 1622.4 km", " Detour % = (1622.4 / 18639.8) × 100 = 8.7%", "Step 5: Determine if on route (typically < 10% detour)", " 8.7% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 27.93043, "lon": 30.83826, "name": "Abū Qurqāş" }, "end": { "lat": -7.60333, "lon": -35.23083, "name": "Aliança" }, "waypoint": { "lat": -37.86667, "lon": 145.28333, "name": "Boronia" }, "question": "Is Boronia approximately on the direct path from Abū Qurqāş to Aliança?", "ground_truth": { "answer": false, "direct_distance_km": 8111.3, "via_waypoint_km": 28878.2, "detour_km": 20766.8, "detour_percent": 256.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Abū Qurqāş", " End: Aliança", " Waypoint: Boronia", "Step 2: Calculate direct distance", " Start → End: 8111.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 28878.2 km", "Step 4: Calculate detour", " Detour = 28878.2 - 8111.3 = 20766.8 km", " Detour % = (20766.8 / 8111.3) × 100 = 256.0%", "Step 5: Determine if on route (typically < 10% detour)", " 256.0% > 10%", "FINAL ANSWER: No" ] } ]