[ { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 29.68242, "lon": 105.93551, "name": "Wangu" }, "end": { "lat": 24.40796, "lon": 32.92324, "name": "Darāw" }, "waypoint": { "lat": -3.85444, "lon": -40.92111, "name": "Ubajara" }, "question": "Is Ubajara approximately on the direct path from Wangu to Darāw?", "ground_truth": { "answer": false, "direct_distance_km": 7134.9, "via_waypoint_km": 24060.2, "detour_km": 16925.3, "detour_percent": 237.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Wangu", " End: Darāw", " Waypoint: Ubajara", "Step 2: Calculate direct distance", " Start → End: 7134.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24060.2 km", "Step 4: Calculate detour", " Detour = 24060.2 - 7134.9 = 16925.3 km", " Detour % = (16925.3 / 7134.9) × 100 = 237.2%", "Step 5: Determine if on route (typically < 10% detour)", " 237.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 58.45073, "lon": 92.17243, "name": "Yeniseysk" }, "end": { "lat": 33.78252, "lon": -117.22865, "name": "Perris" }, "waypoint": { "lat": 22.24115, "lon": 114.15523, "name": "Lei Tung Estate" }, "question": "Is Lei Tung Estate approximately on the direct path from Yeniseysk to Perris?", "ground_truth": { "answer": false, "direct_distance_km": 9401.5, "via_waypoint_km": 16139.0, "detour_km": 6737.5, "detour_percent": 71.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Yeniseysk", " End: Perris", " Waypoint: Lei Tung Estate", "Step 2: Calculate direct distance", " Start → End: 9401.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16139.0 km", "Step 4: Calculate detour", " Detour = 16139.0 - 9401.5 = 6737.5 km", " Detour % = (6737.5 / 9401.5) × 100 = 71.7%", "Step 5: Determine if on route (typically < 10% detour)", " 71.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -37.8, "lon": 144.96667, "name": "Carlton" }, "end": { "lat": -36.88333, "lon": 174.7, "name": "Avondale" }, "waypoint": { "lat": 49.94839, "lon": 15.26816, "name": "Kutná Hora" }, "question": "Is Kutná Hora approximately on the direct path from Carlton to Avondale?", "ground_truth": { "answer": false, "direct_distance_km": 2619.4, "via_waypoint_km": 33672.7, "detour_km": 31053.3, "detour_percent": 1185.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Carlton", " End: Avondale", " Waypoint: Kutná Hora", "Step 2: Calculate direct distance", " Start → End: 2619.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 33672.7 km", "Step 4: Calculate detour", " Detour = 33672.7 - 2619.4 = 31053.3 km", " Detour % = (31053.3 / 2619.4) × 100 = 1185.5%", "Step 5: Determine if on route (typically < 10% detour)", " 1185.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 25.54389, "lon": -103.41898, "name": "Torreón" }, "end": { "lat": 51.20219, "lon": 7.36027, "name": "Radevormwald" }, "waypoint": { "lat": 11.29845, "lon": 2.43856, "name": "Banikoara" }, "question": "Is Banikoara approximately on the direct path from Torreón to Radevormwald?", "ground_truth": { "answer": false, "direct_distance_km": 9141.6, "via_waypoint_km": 15473.3, "detour_km": 6331.7, "detour_percent": 69.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Torreón", " End: Radevormwald", " Waypoint: Banikoara", "Step 2: Calculate direct distance", " Start → End: 9141.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15473.3 km", "Step 4: Calculate detour", " Detour = 15473.3 - 9141.6 = 6331.7 km", " Detour % = (6331.7 / 9141.6) × 100 = 69.3%", "Step 5: Determine if on route (typically < 10% detour)", " 69.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -23.35611, "lon": -46.87694, "name": "Cajamar" }, "end": { "lat": -2.31695, "lon": 29.24413, "name": "Karambi" }, "waypoint": { "lat": 44.27804, "lon": -88.27205, "name": "Kaukauna" }, "question": "Is Kaukauna approximately on the direct path from Cajamar to Karambi?", "ground_truth": { "answer": false, "direct_distance_km": 8489.3, "via_waypoint_km": 20963.6, "detour_km": 12474.3, "detour_percent": 146.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Cajamar", " End: Karambi", " Waypoint: Kaukauna", "Step 2: Calculate direct distance", " Start → End: 8489.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 20963.6 km", "Step 4: Calculate detour", " Detour = 20963.6 - 8489.3 = 12474.3 km", " Detour % = (12474.3 / 8489.3) × 100 = 146.9%", "Step 5: Determine if on route (typically < 10% detour)", " 146.9% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 33.6835, "lon": -78.99837, "name": "Socastee" }, "end": { "lat": 52.505, "lon": 4.95972, "name": "Purmerend" }, "waypoint": { "lat": 31.93058, "lon": 70.45959, "name": "Kulachi" }, "question": "Is Kulachi approximately on the direct path from Socastee to Purmerend?", "ground_truth": { "answer": false, "direct_distance_km": 6720.6, "via_waypoint_km": 17682.2, "detour_km": 10961.6, "detour_percent": 163.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Socastee", " End: Purmerend", " Waypoint: Kulachi", "Step 2: Calculate direct distance", " Start → End: 6720.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 17682.2 km", "Step 4: Calculate detour", " Detour = 17682.2 - 6720.6 = 10961.6 km", " Detour % = (10961.6 / 6720.6) × 100 = 163.1%", "Step 5: Determine if on route (typically < 10% detour)", " 163.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -21.78778, "lon": -46.56139, "name": "Poços de Caldas" }, "end": { "lat": 41.77503, "lon": -87.69644, "name": "Chicago Lawn" }, "waypoint": { "lat": 48.74953, "lon": 8.87176, "name": "Weil der Stadt" }, "question": "Is Weil der Stadt approximately on the direct path from Poços de Caldas to Chicago Lawn?", "ground_truth": { "answer": false, "direct_distance_km": 8237.4, "via_waypoint_km": 16644.0, "detour_km": 8406.6, "detour_percent": 102.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Poços de Caldas", " End: Chicago Lawn", " Waypoint: Weil der Stadt", "Step 2: Calculate direct distance", " Start → End: 8237.4 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16644.0 km", "Step 4: Calculate detour", " Detour = 16644.0 - 8237.4 = 8406.6 km", " Detour % = (8406.6 / 8237.4) × 100 = 102.1%", "Step 5: Determine if on route (typically < 10% detour)", " 102.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 2.46335, "lon": 31.49832, "name": "Pakwach" }, "end": { "lat": -37.2463, "lon": -73.31752, "name": "Arauco" }, "waypoint": { "lat": 32.18966, "lon": 34.97063, "name": "Qalqīlyah" }, "question": "Is Qalqīlyah approximately on the direct path from Pakwach to Arauco?", "ground_truth": { "answer": false, "direct_distance_km": 11482.1, "via_waypoint_km": 16920.5, "detour_km": 5438.4, "detour_percent": 47.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Pakwach", " End: Arauco", " Waypoint: Qalqīlyah", "Step 2: Calculate direct distance", " Start → End: 11482.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16920.5 km", "Step 4: Calculate detour", " Detour = 16920.5 - 11482.1 = 5438.4 km", " Detour % = (5438.4 / 11482.1) × 100 = 47.4%", "Step 5: Determine if on route (typically < 10% detour)", " 47.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 41.34558, "lon": 21.5537, "name": "Prilep" }, "end": { "lat": -37.65, "lon": 145.1, "name": "South Morang" }, "waypoint": { "lat": -1.04491, "lon": -79.6384, "name": "El Empalme" }, "question": "Is El Empalme approximately on the direct path from Prilep to South Morang?", "ground_truth": { "answer": false, "direct_distance_km": 15239.7, "via_waypoint_km": 24743.5, "detour_km": 9503.8, "detour_percent": 62.4 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Prilep", " End: South Morang", " Waypoint: El Empalme", "Step 2: Calculate direct distance", " Start → End: 15239.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24743.5 km", "Step 4: Calculate detour", " Detour = 24743.5 - 15239.7 = 9503.8 km", " Detour % = (9503.8 / 15239.7) × 100 = 62.4%", "Step 5: Determine if on route (typically < 10% detour)", " 62.4% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 21.07351, "lon": 84.34095, "name": "Rāmpur" }, "end": { "lat": 33.2641, "lon": 73.7853, "name": "Chaksawari" }, "waypoint": { "lat": 2.2499, "lon": 32.89985, "name": "Lira" }, "question": "Is Lira approximately on the direct path from Rāmpur to Chaksawari?", "ground_truth": { "answer": false, "direct_distance_km": 1708.8, "via_waypoint_km": 11417.9, "detour_km": 9709.1, "detour_percent": 568.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Rāmpur", " End: Chaksawari", " Waypoint: Lira", "Step 2: Calculate direct distance", " Start → End: 1708.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 11417.9 km", "Step 4: Calculate detour", " Detour = 11417.9 - 1708.8 = 9709.1 km", " Detour % = (9709.1 / 1708.8) × 100 = 568.2%", "Step 5: Determine if on route (typically < 10% detour)", " 568.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 54.97422, "lon": 48.29088, "name": "Buinsk" }, "end": { "lat": 36.13516, "lon": 2.91085, "name": "Berrouaghia" }, "waypoint": { "lat": -5.06893, "lon": 39.09875, "name": "Tanga" }, "question": "Is Tanga approximately on the direct path from Buinsk to Berrouaghia?", "ground_truth": { "answer": false, "direct_distance_km": 4008.8, "via_waypoint_km": 12660.6, "detour_km": 8651.8, "detour_percent": 215.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Buinsk", " End: Berrouaghia", " Waypoint: Tanga", "Step 2: Calculate direct distance", " Start → End: 4008.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12660.6 km", "Step 4: Calculate detour", " Detour = 12660.6 - 4008.8 = 8651.8 km", " Detour % = (8651.8 / 4008.8) × 100 = 215.8%", "Step 5: Determine if on route (typically < 10% detour)", " 215.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 29.02663, "lon": 66.59361, "name": "Kalat" }, "end": { "lat": 50.81809, "lon": 6.1347, "name": "Würselen" }, "waypoint": { "lat": 16.09007, "lon": -93.7546, "name": "Tonalá" }, "question": "Is Tonalá approximately on the direct path from Kalat to Würselen?", "ground_truth": { "answer": false, "direct_distance_km": 5512.2, "via_waypoint_km": 23873.8, "detour_km": 18361.6, "detour_percent": 333.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Kalat", " End: Würselen", " Waypoint: Tonalá", "Step 2: Calculate direct distance", " Start → End: 5512.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23873.8 km", "Step 4: Calculate detour", " Detour = 23873.8 - 5512.2 = 18361.6 km", " Detour % = (18361.6 / 5512.2) × 100 = 333.1%", "Step 5: Determine if on route (typically < 10% detour)", " 333.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 40.84856, "lon": -111.90688, "name": "North Salt Lake" }, "end": { "lat": 49.55573, "lon": 22.2056, "name": "Sanok" }, "waypoint": { "lat": 19.85993, "lon": 82.93385, "name": "Jūnāgarh" }, "question": "Is Jūnāgarh approximately on the direct path from North Salt Lake to Sanok?", "ground_truth": { "answer": false, "direct_distance_km": 9008.3, "via_waypoint_km": 19337.3, "detour_km": 10329.0, "detour_percent": 114.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: North Salt Lake", " End: Sanok", " Waypoint: Jūnāgarh", "Step 2: Calculate direct distance", " Start → End: 9008.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 19337.3 km", "Step 4: Calculate detour", " Detour = 19337.3 - 9008.3 = 10329.0 km", " Detour % = (10329.0 / 9008.3) × 100 = 114.7%", "Step 5: Determine if on route (typically < 10% detour)", " 114.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -7.47056, "lon": -34.80861, "name": "Pitimbu" }, "end": { "lat": 22.93333, "lon": 57.53333, "name": "Nizwá" }, "waypoint": { "lat": 41.38712, "lon": 2.13007, "name": "Les Corts" }, "question": "Is Les Corts approximately on the direct path from Pitimbu to Nizwá?", "ground_truth": { "answer": false, "direct_distance_km": 10568.8, "via_waypoint_km": 12108.1, "detour_km": 1539.3, "detour_percent": 14.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Pitimbu", " End: Nizwá", " Waypoint: Les Corts", "Step 2: Calculate direct distance", " Start → End: 10568.8 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 12108.1 km", "Step 4: Calculate detour", " Detour = 12108.1 - 10568.8 = 1539.3 km", " Detour % = (1539.3 / 10568.8) × 100 = 14.6%", "Step 5: Determine if on route (typically < 10% detour)", " 14.6% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 50.93409, "lon": 4.37213, "name": "Grimbergen" }, "end": { "lat": 31.3224, "lon": -109.54251, "name": "Agua Prieta" }, "waypoint": { "lat": 11.78083, "lon": -0.73389, "name": "Béguédo" }, "question": "Is Béguédo approximately on the direct path from Grimbergen to Agua Prieta?", "ground_truth": { "answer": false, "direct_distance_km": 8819.6, "via_waypoint_km": 15432.1, "detour_km": 6612.5, "detour_percent": 75.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Grimbergen", " End: Agua Prieta", " Waypoint: Béguédo", "Step 2: Calculate direct distance", " Start → End: 8819.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 15432.1 km", "Step 4: Calculate detour", " Detour = 15432.1 - 8819.6 = 6612.5 km", " Detour % = (6612.5 / 8819.6) × 100 = 75.0%", "Step 5: Determine if on route (typically < 10% detour)", " 75.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 41.03288, "lon": 13.94354, "name": "Castel Volturno" }, "end": { "lat": 21.61675, "lon": 73.02759, "name": "Anklesvar INA" }, "waypoint": { "lat": 12.8, "lon": 99.96667, "name": "Cha-am" }, "question": "Is Cha-am approximately on the direct path from Castel Volturno to Anklesvar INA?", "ground_truth": { "answer": false, "direct_distance_km": 5890.6, "via_waypoint_km": 11766.7, "detour_km": 5876.1, "detour_percent": 99.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Castel Volturno", " End: Anklesvar INA", " Waypoint: Cha-am", "Step 2: Calculate direct distance", " Start → End: 5890.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 11766.7 km", "Step 4: Calculate detour", " Detour = 11766.7 - 5890.6 = 5876.1 km", " Detour % = (5876.1 / 5890.6) × 100 = 99.8%", "Step 5: Determine if on route (typically < 10% detour)", " 99.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 30.36056, "lon": 31.3776, "name": "Mashtūl as Sūq" }, "end": { "lat": -22.995, "lon": -47.50778, "name": "Capivari" }, "waypoint": { "lat": 57.65307, "lon": 14.69676, "name": "Nässjö" }, "question": "Is Nässjö approximately on the direct path from Mashtūl as Sūq to Capivari?", "ground_truth": { "answer": false, "direct_distance_km": 10290.1, "via_waypoint_km": 13942.5, "detour_km": 3652.5, "detour_percent": 35.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Mashtūl as Sūq", " End: Capivari", " Waypoint: Nässjö", "Step 2: Calculate direct distance", " Start → End: 10290.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13942.5 km", "Step 4: Calculate detour", " Detour = 13942.5 - 10290.1 = 3652.5 km", " Detour % = (3652.5 / 10290.1) × 100 = 35.5%", "Step 5: Determine if on route (typically < 10% detour)", " 35.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -24.40659, "lon": 25.49508, "name": "Molepolole" }, "end": { "lat": 14.6, "lon": 120.9833, "name": "Quiapo" }, "waypoint": { "lat": 51.44665, "lon": 6.55194, "name": "Neukirchen-Vluyn" }, "question": "Is Neukirchen-Vluyn approximately on the direct path from Molepolole to Quiapo?", "ground_truth": { "answer": false, "direct_distance_km": 11215.3, "via_waypoint_km": 18976.7, "detour_km": 7761.4, "detour_percent": 69.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Molepolole", " End: Quiapo", " Waypoint: Neukirchen-Vluyn", "Step 2: Calculate direct distance", " Start → End: 11215.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18976.7 km", "Step 4: Calculate detour", " Detour = 18976.7 - 11215.3 = 7761.4 km", " Detour % = (7761.4 / 11215.3) × 100 = 69.2%", "Step 5: Determine if on route (typically < 10% detour)", " 69.2% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -30.78991, "lon": -60.59276, "name": "San Justo" }, "end": { "lat": 36.59389, "lon": -6.23298, "name": "El Puerto de Santa María" }, "waypoint": { "lat": 41.14289, "lon": 22.50108, "name": "Gevgelija" }, "question": "Is Gevgelija approximately on the direct path from San Justo to El Puerto de Santa María?", "ground_truth": { "answer": false, "direct_distance_km": 9390.3, "via_waypoint_km": 14203.2, "detour_km": 4812.9, "detour_percent": 51.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: San Justo", " End: El Puerto de Santa María", " Waypoint: Gevgelija", "Step 2: Calculate direct distance", " Start → End: 9390.3 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14203.2 km", "Step 4: Calculate detour", " Detour = 14203.2 - 9390.3 = 4812.9 km", " Detour % = (4812.9 / 9390.3) × 100 = 51.3%", "Step 5: Determine if on route (typically < 10% detour)", " 51.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 25.00964, "lon": 79.04869, "name": "Jatāra" }, "end": { "lat": -1.01139, "lon": -48.96333, "name": "Cachoeira do Arari" }, "waypoint": { "lat": 45.41667, "lon": 23.36667, "name": "Petroşani" }, "question": "Is Petroşani approximately on the direct path from Jatāra to Cachoeira do Arari?", "ground_truth": { "answer": true, "direct_distance_km": 13836.5, "via_waypoint_km": 14139.0, "detour_km": 302.6, "detour_percent": 2.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Jatāra", " End: Cachoeira do Arari", " Waypoint: Petroşani", "Step 2: Calculate direct distance", " Start → End: 13836.5 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 14139.0 km", "Step 4: Calculate detour", " Detour = 14139.0 - 13836.5 = 302.6 km", " Detour % = (302.6 / 13836.5) × 100 = 2.2%", "Step 5: Determine if on route (typically < 10% detour)", " 2.2% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 32.02923, "lon": 34.85788, "name": "Or Yehuda" }, "end": { "lat": 28.68351, "lon": -17.76421, "name": "Santa Cruz de la Palma" }, "waypoint": { "lat": -7.93333, "lon": -39.29583, "name": "Serrita" }, "question": "Is Serrita approximately on the direct path from Or Yehuda to Santa Cruz de la Palma?", "ground_truth": { "answer": false, "direct_distance_km": 5013.2, "via_waypoint_km": 13690.1, "detour_km": 8676.9, "detour_percent": 173.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Or Yehuda", " End: Santa Cruz de la Palma", " Waypoint: Serrita", "Step 2: Calculate direct distance", " Start → End: 5013.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 13690.1 km", "Step 4: Calculate detour", " Detour = 13690.1 - 5013.2 = 8676.9 km", " Detour % = (8676.9 / 5013.2) × 100 = 173.1%", "Step 5: Determine if on route (typically < 10% detour)", " 173.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 40.81232, "lon": -73.07844, "name": "Holbrook" }, "end": { "lat": 10.25, "lon": 37.93333, "name": "Lumamē" }, "waypoint": { "lat": 53.06603, "lon": 19.40941, "name": "Rypin" }, "question": "Is Rypin approximately on the direct path from Holbrook to Lumamē?", "ground_truth": { "answer": true, "direct_distance_km": 10971.6, "via_waypoint_km": 11693.4, "detour_km": 721.8, "detour_percent": 6.6 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Holbrook", " End: Lumamē", " Waypoint: Rypin", "Step 2: Calculate direct distance", " Start → End: 10971.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 11693.4 km", "Step 4: Calculate detour", " Detour = 11693.4 - 10971.6 = 721.8 km", " Detour % = (721.8 / 10971.6) × 100 = 6.6%", "Step 5: Determine if on route (typically < 10% detour)", " 6.6% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 33.97399, "lon": -5.09613, "name": "Ras el Ma" }, "end": { "lat": 30.93976, "lon": 30.81338, "name": "Basyūn" }, "waypoint": { "lat": 42.43306, "lon": 21.03972, "name": "Shtime" }, "question": "Is Shtime approximately on the direct path from Ras el Ma to Basyūn?", "ground_truth": { "answer": false, "direct_distance_km": 3369.0, "via_waypoint_km": 4001.7, "detour_km": 632.7, "detour_percent": 18.8 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Ras el Ma", " End: Basyūn", " Waypoint: Shtime", "Step 2: Calculate direct distance", " Start → End: 3369.0 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 4001.7 km", "Step 4: Calculate detour", " Detour = 4001.7 - 3369.0 = 632.7 km", " Detour % = (632.7 / 3369.0) × 100 = 18.8%", "Step 5: Determine if on route (typically < 10% detour)", " 18.8% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -31.34582, "lon": -64.33849, "name": "La Calera" }, "end": { "lat": -27.62563, "lon": 152.96883, "name": "Forest Lake" }, "waypoint": { "lat": 19.63981, "lon": 109.15861, "name": "Paipu" }, "question": "Is Paipu approximately on the direct path from La Calera to Forest Lake?", "ground_truth": { "answer": false, "direct_distance_km": 12358.2, "via_waypoint_km": 25619.8, "detour_km": 13261.7, "detour_percent": 107.3 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: La Calera", " End: Forest Lake", " Waypoint: Paipu", "Step 2: Calculate direct distance", " Start → End: 12358.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 25619.8 km", "Step 4: Calculate detour", " Detour = 25619.8 - 12358.2 = 13261.7 km", " Detour % = (13261.7 / 12358.2) × 100 = 107.3%", "Step 5: Determine if on route (typically < 10% detour)", " 107.3% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 21.6, "lon": 104.51667, "name": "Nghĩa Lộ" }, "end": { "lat": 9.24391, "lon": -75.14675, "name": "San Luis de Sincé" }, "waypoint": { "lat": 40.30428, "lon": -73.99236, "name": "Long Branch" }, "question": "Is Long Branch approximately on the direct path from Nghĩa Lộ to San Luis de Sincé?", "ground_truth": { "answer": true, "direct_distance_km": 16585.2, "via_waypoint_km": 16585.6, "detour_km": 0.3, "detour_percent": 0.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Nghĩa Lộ", " End: San Luis de Sincé", " Waypoint: Long Branch", "Step 2: Calculate direct distance", " Start → End: 16585.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 16585.6 km", "Step 4: Calculate detour", " Detour = 16585.6 - 16585.2 = 0.3 km", " Detour % = (0.3 / 16585.2) × 100 = 0.0%", "Step 5: Determine if on route (typically < 10% detour)", " 0.0% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -23.10407, "lon": 26.81421, "name": "Mahalapye" }, "end": { "lat": -22.12556, "lon": -51.38889, "name": "Presidente Prudente" }, "waypoint": { "lat": -23.46278, "lon": -46.53333, "name": "Guarulhos" }, "question": "Is Guarulhos approximately on the direct path from Mahalapye to Presidente Prudente?", "ground_truth": { "answer": true, "direct_distance_km": 7918.9, "via_waypoint_km": 7918.9, "detour_km": 0.0, "detour_percent": 0.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Mahalapye", " End: Presidente Prudente", " Waypoint: Guarulhos", "Step 2: Calculate direct distance", " Start → End: 7918.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 7918.9 km", "Step 4: Calculate detour", " Detour = 7918.9 - 7918.9 = 0.0 km", " Detour % = (0.0 / 7918.9) × 100 = 0.0%", "Step 5: Determine if on route (typically < 10% detour)", " 0.0% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -18.94948, "lon": 48.23007, "name": "Moramanga" }, "end": { "lat": 9.60776, "lon": 8.39043, "name": "Kagoro" }, "waypoint": { "lat": -15.67572, "lon": -58.09021, "name": "Mirassol d'Oeste" }, "question": "Is Mirassol d'Oeste approximately on the direct path from Moramanga to Kagoro?", "ground_truth": { "answer": false, "direct_distance_km": 5399.6, "via_waypoint_km": 18923.7, "detour_km": 13524.1, "detour_percent": 250.5 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Moramanga", " End: Kagoro", " Waypoint: Mirassol d'Oeste", "Step 2: Calculate direct distance", " Start → End: 5399.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 18923.7 km", "Step 4: Calculate detour", " Detour = 18923.7 - 5399.6 = 13524.1 km", " Detour % = (13524.1 / 5399.6) × 100 = 250.5%", "Step 5: Determine if on route (typically < 10% detour)", " 250.5% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": -37.83333, "lon": 145.05, "name": "Glenferrie" }, "end": { "lat": -33.52314, "lon": 151.31325, "name": "Umina Beach" }, "waypoint": { "lat": 53.40861, "lon": -2.95283, "name": "Kensington" }, "question": "Is Kensington approximately on the direct path from Glenferrie to Umina Beach?", "ground_truth": { "answer": false, "direct_distance_km": 741.1, "via_waypoint_km": 34037.2, "detour_km": 33296.1, "detour_percent": 4492.7 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Glenferrie", " End: Umina Beach", " Waypoint: Kensington", "Step 2: Calculate direct distance", " Start → End: 741.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 34037.2 km", "Step 4: Calculate detour", " Detour = 34037.2 - 741.1 = 33296.1 km", " Detour % = (33296.1 / 741.1) × 100 = 4492.7%", "Step 5: Determine if on route (typically < 10% detour)", " 4492.7% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 3.2549, "lon": 101.6668, "name": "Selayang Baru Utara" }, "end": { "lat": 52.49376, "lon": 13.44469, "name": "Treptow" }, "waypoint": { "lat": 48.94754, "lon": 8.83675, "name": "Mühlacker" }, "question": "Is Mühlacker approximately on the direct path from Selayang Baru Utara to Treptow?", "ground_truth": { "answer": true, "direct_distance_km": 9600.2, "via_waypoint_km": 10451.4, "detour_km": 851.2, "detour_percent": 8.9 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Selayang Baru Utara", " End: Treptow", " Waypoint: Mühlacker", "Step 2: Calculate direct distance", " Start → End: 9600.2 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 10451.4 km", "Step 4: Calculate detour", " Detour = 10451.4 - 9600.2 = 851.2 km", " Detour % = (851.2 / 9600.2) × 100 = 8.9%", "Step 5: Determine if on route (typically < 10% detour)", " 8.9% < 10%", "FINAL ANSWER: Yes" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 39.4015, "lon": -76.60191, "name": "Towson" }, "end": { "lat": 33.5806, "lon": -112.23738, "name": "Peoria" }, "waypoint": { "lat": 2.61112, "lon": 32.47559, "name": "Opit" }, "question": "Is Opit approximately on the direct path from Towson to Peoria?", "ground_truth": { "answer": false, "direct_distance_km": 3228.9, "via_waypoint_km": 25993.1, "detour_km": 22764.2, "detour_percent": 705.0 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Towson", " End: Peoria", " Waypoint: Opit", "Step 2: Calculate direct distance", " Start → End: 3228.9 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 25993.1 km", "Step 4: Calculate detour", " Detour = 25993.1 - 3228.9 = 22764.2 km", " Detour % = (22764.2 / 3228.9) × 100 = 705.0%", "Step 5: Determine if on route (typically < 10% detour)", " 705.0% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 37.0, "lon": 118.78333, "name": "Tianliu" }, "end": { "lat": 39.10638, "lon": 27.66925, "name": "Kırkağaç" }, "waypoint": { "lat": 14.52541, "lon": 102.24591, "name": "Khon Buri" }, "question": "Is Khon Buri approximately on the direct path from Tianliu to Kırkağaç?", "ground_truth": { "answer": false, "direct_distance_km": 7609.7, "via_waypoint_km": 10662.5, "detour_km": 3052.8, "detour_percent": 40.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Tianliu", " End: Kırkağaç", " Waypoint: Khon Buri", "Step 2: Calculate direct distance", " Start → End: 7609.7 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 10662.5 km", "Step 4: Calculate detour", " Detour = 10662.5 - 7609.7 = 3052.8 km", " Detour % = (3052.8 / 7609.7) × 100 = 40.1%", "Step 5: Determine if on route (typically < 10% detour)", " 40.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 7.75, "lon": 39.15, "name": "Sagurē" }, "end": { "lat": 0.64444, "lon": 34.26056, "name": "Malaba" }, "waypoint": { "lat": -31.9652, "lon": 141.4512, "name": "Broken Hill" }, "question": "Is Broken Hill approximately on the direct path from Sagurē to Malaba?", "ground_truth": { "answer": false, "direct_distance_km": 958.1, "via_waypoint_km": 23281.9, "detour_km": 22323.8, "detour_percent": 2330.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Sagurē", " End: Malaba", " Waypoint: Broken Hill", "Step 2: Calculate direct distance", " Start → End: 958.1 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 23281.9 km", "Step 4: Calculate detour", " Detour = 23281.9 - 958.1 = 22323.8 km", " Detour % = (22323.8 / 958.1) × 100 = 2330.1%", "Step 5: Determine if on route (typically < 10% detour)", " 2330.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 51.82083, "lon": 4.77639, "name": "Sliedrecht" }, "end": { "lat": 40.35481, "lon": 18.17244, "name": "Lecce" }, "waypoint": { "lat": -38.93392, "lon": -67.99032, "name": "Cipolletti" }, "question": "Is Cipolletti approximately on the direct path from Sliedrecht to Lecce?", "ground_truth": { "answer": false, "direct_distance_km": 1635.6, "via_waypoint_km": 24699.5, "detour_km": 23063.9, "detour_percent": 1410.1 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Sliedrecht", " End: Lecce", " Waypoint: Cipolletti", "Step 2: Calculate direct distance", " Start → End: 1635.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 24699.5 km", "Step 4: Calculate detour", " Detour = 24699.5 - 1635.6 = 23063.9 km", " Detour % = (23063.9 / 1635.6) × 100 = 1410.1%", "Step 5: Determine if on route (typically < 10% detour)", " 1410.1% > 10%", "FINAL ANSWER: No" ] }, { "task": "route_analysis", "subtask": "on_route_detection", "start": { "lat": 4.63911, "lon": 9.67987, "name": "Penja" }, "end": { "lat": 50.80904, "lon": 8.77069, "name": "Marburg an der Lahn" }, "waypoint": { "lat": 44.9994, "lon": 7.68236, "name": "Moncalieri" }, "question": "Is Moncalieri approximately on the direct path from Penja to Marburg an der Lahn?", "ground_truth": { "answer": true, "direct_distance_km": 5134.6, "via_waypoint_km": 5143.1, "detour_km": 8.6, "detour_percent": 0.2 }, "reasoning_steps": [ "Step 1: Identify the three points", " Start: Penja", " End: Marburg an der Lahn", " Waypoint: Moncalieri", "Step 2: Calculate direct distance", " Start → End: 5134.6 km", "Step 3: Calculate distance via waypoint", " Start → Waypoint → End: 5143.1 km", "Step 4: Calculate detour", " Detour = 5143.1 - 5134.6 = 8.6 km", " Detour % = (8.6 / 5134.6) × 100 = 0.2%", "Step 5: Determine if on route (typically < 10% detour)", " 0.2% < 10%", "FINAL ANSWER: Yes" ] } ]