| [ |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -37.76667, |
| "lon": 144.96667, |
| "name": "Brunswick" |
| }, |
| { |
| "lat": -33.79798, |
| "lon": 151.28826, |
| "name": "Manly" |
| }, |
| { |
| "lat": -33.86436, |
| "lon": 151.0397, |
| "name": "Lidcombe" |
| }, |
| { |
| "lat": -32.83211, |
| "lon": 151.35623, |
| "name": "Cessnock" |
| }, |
| { |
| "lat": 44.63651, |
| "lon": -123.10593, |
| "name": "Albany" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Brunswick, Manly, Lidcombe, Cessnock, Albany?", |
| "ground_truth": { |
| "answer": "Albany", |
| "outlier_distance_km": 15459.4, |
| "second_furthest_km": 5777.8, |
| "clarity_ratio": 2.68, |
| "median_distance_km": 5774.3, |
| "distances_to_centroid": { |
| "Brunswick": 5249.9, |
| "Manly": 5774.3, |
| "Lidcombe": 5751.6, |
| "Cessnock": 5777.8, |
| "Albany": 15459.4 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Brunswick: (-37.77°, 144.97°)", |
| " Manly: (-33.80°, 151.29°)", |
| " Lidcombe: (-33.86°, 151.04°)", |
| " Cessnock: (-32.83°, 151.36°)", |
| " Albany: (44.64°, -123.11°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Albany: 15459.4 km from centroid", |
| " Cessnock: 5777.8 km from centroid", |
| " Manly: 5774.3 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Albany", |
| "FINAL ANSWER: Albany" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -14.64083, |
| "lon": -39.55111, |
| "name": "Coaraci" |
| }, |
| { |
| "lat": -6.23122, |
| "lon": -42.68691, |
| "name": "Regeneração" |
| }, |
| { |
| "lat": -3.36841, |
| "lon": -64.72054, |
| "name": "Tefé" |
| }, |
| { |
| "lat": -11.52472, |
| "lon": -61.01278, |
| "name": "Espigão dOeste" |
| }, |
| { |
| "lat": -27.64613, |
| "lon": 152.85965, |
| "name": "Redbank Plains" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Coaraci, Regeneração, Tefé, Espigão dOeste, Redbank Plains?", |
| "ground_truth": { |
| "answer": "Redbank Plains", |
| "outlier_distance_km": 15206.0, |
| "second_furthest_km": 5991.0, |
| "clarity_ratio": 2.54, |
| "median_distance_km": 5428.4, |
| "distances_to_centroid": { |
| "Coaraci": 3088.2, |
| "Regeneração": 3543.2, |
| "Tefé": 5991.0, |
| "Espigão dOeste": 5428.4, |
| "Redbank Plains": 15206.0 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Coaraci: (-14.64°, -39.55°)", |
| " Regeneração: (-6.23°, -42.69°)", |
| " Tefé: (-3.37°, -64.72°)", |
| " Espigão dOeste: (-11.52°, -61.01°)", |
| " Redbank Plains: (-27.65°, 152.86°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Redbank Plains: 15206.0 km from centroid", |
| " Tefé: 5991.0 km from centroid", |
| " Espigão dOeste: 5428.4 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Redbank Plains", |
| "FINAL ANSWER: Redbank Plains" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -34.06251, |
| "lon": 151.14961, |
| "name": "Cronulla" |
| }, |
| { |
| "lat": -33.41665, |
| "lon": 149.5806, |
| "name": "Bathurst" |
| }, |
| { |
| "lat": -33.90741, |
| "lon": 151.15546, |
| "name": "Marrickville" |
| }, |
| { |
| "lat": -41.21667, |
| "lon": 174.91667, |
| "name": "Lower Hutt" |
| }, |
| { |
| "lat": 53.4614, |
| "lon": -2.92863, |
| "name": "Fazakerley" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Cronulla, Bathurst, Marrickville, Lower Hutt, Fazakerley?", |
| "ground_truth": { |
| "answer": "Fazakerley", |
| "outlier_distance_km": 14048.7, |
| "second_furthest_km": 5409.5, |
| "clarity_ratio": 2.6, |
| "median_distance_km": 3179.5, |
| "distances_to_centroid": { |
| "Cronulla": 3179.5, |
| "Bathurst": 3017.7, |
| "Marrickville": 3171.9, |
| "Lower Hutt": 5409.5, |
| "Fazakerley": 14048.7 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Cronulla: (-34.06°, 151.15°)", |
| " Bathurst: (-33.42°, 149.58°)", |
| " Marrickville: (-33.91°, 151.16°)", |
| " Lower Hutt: (-41.22°, 174.92°)", |
| " Fazakerley: (53.46°, -2.93°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Fazakerley: 14048.7 km from centroid", |
| " Lower Hutt: 5409.5 km from centroid", |
| " Cronulla: 3179.5 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Fazakerley", |
| "FINAL ANSWER: Fazakerley" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -37.8149, |
| "lon": 144.95052, |
| "name": "Docklands" |
| }, |
| { |
| "lat": -37.89138, |
| "lon": 144.62368, |
| "name": "Wyndham Vale" |
| }, |
| { |
| "lat": -16.92366, |
| "lon": 145.76613, |
| "name": "Cairns" |
| }, |
| { |
| "lat": -40.91667, |
| "lon": 175.01667, |
| "name": "Paraparaumu" |
| }, |
| { |
| "lat": 9.08296, |
| "lon": -1.81884, |
| "name": "Damongo" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Docklands, Wyndham Vale, Cairns, Paraparaumu, Damongo?", |
| "ground_truth": { |
| "answer": "Damongo", |
| "outlier_distance_km": 13803.4, |
| "second_furthest_km": 5197.8, |
| "clarity_ratio": 2.66, |
| "median_distance_km": 2646.5, |
| "distances_to_centroid": { |
| "Docklands": 2621.8, |
| "Wyndham Vale": 2600.0, |
| "Cairns": 2646.5, |
| "Paraparaumu": 5197.8, |
| "Damongo": 13803.4 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Docklands: (-37.81°, 144.95°)", |
| " Wyndham Vale: (-37.89°, 144.62°)", |
| " Cairns: (-16.92°, 145.77°)", |
| " Paraparaumu: (-40.92°, 175.02°)", |
| " Damongo: (9.08°, -1.82°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Damongo: 13803.4 km from centroid", |
| " Paraparaumu: 5197.8 km from centroid", |
| " Cairns: 2646.5 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Damongo", |
| "FINAL ANSWER: Damongo" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 29.30309, |
| "lon": 108.7702, |
| "name": "Zhuoshui" |
| }, |
| { |
| "lat": 12.54288, |
| "lon": 78.35735, |
| "name": "Bargūr" |
| }, |
| { |
| "lat": 47.23489, |
| "lon": 127.10769, |
| "name": "Suiling" |
| }, |
| { |
| "lat": 33.19133, |
| "lon": 104.42009, |
| "name": "Zhongzhai" |
| }, |
| { |
| "lat": 51.40878, |
| "lon": -0.02526, |
| "name": "Beckenham" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Zhuoshui, Bargūr, Suiling, Zhongzhai, Beckenham?", |
| "ground_truth": { |
| "answer": "Beckenham", |
| "outlier_distance_km": 6663.2, |
| "second_furthest_km": 3839.3, |
| "clarity_ratio": 1.74, |
| "median_distance_km": 2526.5, |
| "distances_to_centroid": { |
| "Zhuoshui": 2430.1, |
| "Bargūr": 2526.5, |
| "Suiling": 3839.3, |
| "Zhongzhai": 1912.8, |
| "Beckenham": 6663.2 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Zhuoshui: (29.30°, 108.77°)", |
| " Bargūr: (12.54°, 78.36°)", |
| " Suiling: (47.23°, 127.11°)", |
| " Zhongzhai: (33.19°, 104.42°)", |
| " Beckenham: (51.41°, -0.03°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Beckenham: 6663.2 km from centroid", |
| " Suiling: 3839.3 km from centroid", |
| " Bargūr: 2526.5 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Beckenham", |
| "FINAL ANSWER: Beckenham" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 51.12014, |
| "lon": 15.28768, |
| "name": "Lubań" |
| }, |
| { |
| "lat": 55.7163, |
| "lon": 60.551, |
| "name": "Kyshtym" |
| }, |
| { |
| "lat": 44.75583, |
| "lon": 44.9925, |
| "name": "Neftekumsk" |
| }, |
| { |
| "lat": 55.82885, |
| "lon": -4.21376, |
| "name": "Rutherglen" |
| }, |
| { |
| "lat": 22.75923, |
| "lon": 113.79452, |
| "name": "Gongheyong" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Lubań, Kyshtym, Neftekumsk, Rutherglen, Gongheyong?", |
| "ground_truth": { |
| "answer": "Gongheyong", |
| "outlier_distance_km": 6514.3, |
| "second_furthest_km": 3599.5, |
| "clarity_ratio": 1.81, |
| "median_distance_km": 2316.4, |
| "distances_to_centroid": { |
| "Lubań": 2316.4, |
| "Kyshtym": 1473.9, |
| "Neftekumsk": 165.8, |
| "Rutherglen": 3599.5, |
| "Gongheyong": 6514.3 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Lubań: (51.12°, 15.29°)", |
| " Kyshtym: (55.72°, 60.55°)", |
| " Neftekumsk: (44.76°, 44.99°)", |
| " Rutherglen: (55.83°, -4.21°)", |
| " Gongheyong: (22.76°, 113.79°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Gongheyong: 6514.3 km from centroid", |
| " Rutherglen: 3599.5 km from centroid", |
| " Lubań: 2316.4 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Gongheyong", |
| "FINAL ANSWER: Gongheyong" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 47.65689, |
| "lon": 9.47554, |
| "name": "Friedrichshafen" |
| }, |
| { |
| "lat": 51.45061, |
| "lon": 0.05225, |
| "name": "Eltham" |
| }, |
| { |
| "lat": 49.95542, |
| "lon": 18.57479, |
| "name": "Jastrzębie Zdrój" |
| }, |
| { |
| "lat": 51.28635, |
| "lon": 7.29388, |
| "name": "Schwelm" |
| }, |
| { |
| "lat": 10.81314, |
| "lon": 76.62869, |
| "name": "Puthuppariyāram" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Friedrichshafen, Eltham, Jastrzębie Zdrój, Schwelm, Puthuppariyāram?", |
| "ground_truth": { |
| "answer": "Puthuppariyāram", |
| "outlier_distance_km": 6287.5, |
| "second_furthest_km": 1973.3, |
| "clarity_ratio": 3.19, |
| "median_distance_km": 1523.9, |
| "distances_to_centroid": { |
| "Friedrichshafen": 1180.7, |
| "Eltham": 1973.3, |
| "Jastrzębie Zdrój": 907.8, |
| "Schwelm": 1523.9, |
| "Puthuppariyāram": 6287.5 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Friedrichshafen: (47.66°, 9.48°)", |
| " Eltham: (51.45°, 0.05°)", |
| " Jastrzębie Zdrój: (49.96°, 18.57°)", |
| " Schwelm: (51.29°, 7.29°)", |
| " Puthuppariyāram: (10.81°, 76.63°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Puthuppariyāram: 6287.5 km from centroid", |
| " Eltham: 1973.3 km from centroid", |
| " Schwelm: 1523.9 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Puthuppariyāram", |
| "FINAL ANSWER: Puthuppariyāram" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 45.92136, |
| "lon": 8.55183, |
| "name": "Verbania" |
| }, |
| { |
| "lat": 40.41409, |
| "lon": -3.66553, |
| "name": "Estrella" |
| }, |
| { |
| "lat": 55.84244, |
| "lon": 38.19362, |
| "name": "Monino" |
| }, |
| { |
| "lat": 51.39894, |
| "lon": 7.18557, |
| "name": "Hattingen" |
| }, |
| { |
| "lat": -28.21901, |
| "lon": 152.03438, |
| "name": "Warwick" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Verbania, Estrella, Monino, Hattingen, Warwick?", |
| "ground_truth": { |
| "answer": "Warwick", |
| "outlier_distance_km": 13562.9, |
| "second_furthest_km": 3973.2, |
| "clarity_ratio": 3.41, |
| "median_distance_km": 3367.1, |
| "distances_to_centroid": { |
| "Verbania": 3059.8, |
| "Estrella": 3973.2, |
| "Monino": 2538.1, |
| "Hattingen": 3367.1, |
| "Warwick": 13562.9 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Verbania: (45.92°, 8.55°)", |
| " Estrella: (40.41°, -3.67°)", |
| " Monino: (55.84°, 38.19°)", |
| " Hattingen: (51.40°, 7.19°)", |
| " Warwick: (-28.22°, 152.03°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Warwick: 13562.9 km from centroid", |
| " Estrella: 3973.2 km from centroid", |
| " Hattingen: 3367.1 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Warwick", |
| "FINAL ANSWER: Warwick" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 3.43054, |
| "lon": -76.5199, |
| "name": "Cali" |
| }, |
| { |
| "lat": -43.24895, |
| "lon": -65.30505, |
| "name": "Trelew" |
| }, |
| { |
| "lat": -1.8, |
| "lon": -53.48, |
| "name": "Prainha" |
| }, |
| { |
| "lat": -22.15214, |
| "lon": -42.92335, |
| "name": "São José do Vale do Rio Preto" |
| }, |
| { |
| "lat": 37.28766, |
| "lon": -6.0541, |
| "name": "Coria del Río" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Cali, Trelew, Prainha, São José do Vale do Rio Preto, Coria del Río?", |
| "ground_truth": { |
| "answer": "Coria del Río", |
| "outlier_distance_km": 6483.8, |
| "second_furthest_km": 4518.7, |
| "clarity_ratio": 1.43, |
| "median_distance_km": 3222.2, |
| "distances_to_centroid": { |
| "Cali": 3222.2, |
| "Trelew": 4518.7, |
| "Prainha": 643.7, |
| "São José do Vale do Rio Preto": 1979.9, |
| "Coria del Río": 6483.8 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Cali: (3.43°, -76.52°)", |
| " Trelew: (-43.25°, -65.31°)", |
| " Prainha: (-1.80°, -53.48°)", |
| " São José do Vale do Rio Preto: (-22.15°, -42.92°)", |
| " Coria del Río: (37.29°, -6.05°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Coria del Río: 6483.8 km from centroid", |
| " Trelew: 4518.7 km from centroid", |
| " Cali: 3222.2 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Coria del Río", |
| "FINAL ANSWER: Coria del Río" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 35.3943, |
| "lon": 136.66898, |
| "name": "Mizuho" |
| }, |
| { |
| "lat": 17.51544, |
| "lon": 78.88563, |
| "name": "Bhongīr" |
| }, |
| { |
| "lat": 11.11723, |
| "lon": 77.37256, |
| "name": "Mannarai" |
| }, |
| { |
| "lat": 34.21024, |
| "lon": 134.33653, |
| "name": "Higashikagawa" |
| }, |
| { |
| "lat": -13.4425, |
| "lon": -42.23889, |
| "name": "Paramirim" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Mizuho, Bhongīr, Mannarai, Higashikagawa, Paramirim?", |
| "ground_truth": { |
| "answer": "Paramirim", |
| "outlier_distance_km": 13508.6, |
| "second_furthest_km": 6199.4, |
| "clarity_ratio": 2.18, |
| "median_distance_km": 5979.4, |
| "distances_to_centroid": { |
| "Mizuho": 6199.4, |
| "Bhongīr": 209.1, |
| "Mannarai": 650.8, |
| "Higashikagawa": 5979.4, |
| "Paramirim": 13508.6 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Mizuho: (35.39°, 136.67°)", |
| " Bhongīr: (17.52°, 78.89°)", |
| " Mannarai: (11.12°, 77.37°)", |
| " Higashikagawa: (34.21°, 134.34°)", |
| " Paramirim: (-13.44°, -42.24°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Paramirim: 13508.6 km from centroid", |
| " Mizuho: 6199.4 km from centroid", |
| " Higashikagawa: 5979.4 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Paramirim", |
| "FINAL ANSWER: Paramirim" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 6.53891, |
| "lon": 3.3742, |
| "name": "Shomolu" |
| }, |
| { |
| "lat": 12.79881, |
| "lon": 39.64448, |
| "name": "Mehoni" |
| }, |
| { |
| "lat": 6.90412, |
| "lon": -2.56114, |
| "name": "Mim" |
| }, |
| { |
| "lat": -1.29996, |
| "lon": 36.99047, |
| "name": "Githunguri" |
| }, |
| { |
| "lat": -27.54333, |
| "lon": 153.20287, |
| "name": "Capalaba" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Shomolu, Mehoni, Mim, Githunguri, Capalaba?", |
| "ground_truth": { |
| "answer": "Capalaba", |
| "outlier_distance_km": 11657.5, |
| "second_furthest_km": 5464.1, |
| "clarity_ratio": 2.13, |
| "median_distance_km": 4808.8, |
| "distances_to_centroid": { |
| "Shomolu": 4808.8, |
| "Mehoni": 1644.7, |
| "Mim": 5464.1, |
| "Githunguri": 1019.8, |
| "Capalaba": 11657.5 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Shomolu: (6.54°, 3.37°)", |
| " Mehoni: (12.80°, 39.64°)", |
| " Mim: (6.90°, -2.56°)", |
| " Githunguri: (-1.30°, 36.99°)", |
| " Capalaba: (-27.54°, 153.20°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Capalaba: 11657.5 km from centroid", |
| " Mim: 5464.1 km from centroid", |
| " Shomolu: 4808.8 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Capalaba", |
| "FINAL ANSWER: Capalaba" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -37.86667, |
| "lon": 145.28333, |
| "name": "Boronia" |
| }, |
| { |
| "lat": -42.87936, |
| "lon": 147.32941, |
| "name": "Hobart" |
| }, |
| { |
| "lat": -37.81501, |
| "lon": 144.96657, |
| "name": "Melbourne City Centre" |
| }, |
| { |
| "lat": -37.8228, |
| "lon": 144.96434, |
| "name": "Southbank" |
| }, |
| { |
| "lat": -7.71361, |
| "lon": -66.97639, |
| "name": "Pauini" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Boronia, Hobart, Melbourne City Centre, Southbank, Pauini?", |
| "ground_truth": { |
| "answer": "Pauini", |
| "outlier_distance_km": 15387.5, |
| "second_furthest_km": 3990.5, |
| "clarity_ratio": 3.86, |
| "median_distance_km": 3833.2, |
| "distances_to_centroid": { |
| "Boronia": 3833.2, |
| "Hobart": 3990.5, |
| "Melbourne City Centre": 3805.9, |
| "Southbank": 3805.6, |
| "Pauini": 15387.5 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Boronia: (-37.87°, 145.28°)", |
| " Hobart: (-42.88°, 147.33°)", |
| " Melbourne City Centre: (-37.82°, 144.97°)", |
| " Southbank: (-37.82°, 144.96°)", |
| " Pauini: (-7.71°, -66.98°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Pauini: 15387.5 km from centroid", |
| " Hobart: 3990.5 km from centroid", |
| " Boronia: 3833.2 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Pauini", |
| "FINAL ANSWER: Pauini" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 37.07381, |
| "lon": 14.24038, |
| "name": "Gela" |
| }, |
| { |
| "lat": 51.40878, |
| "lon": -0.02526, |
| "name": "Beckenham" |
| }, |
| { |
| "lat": 48.6328, |
| "lon": 2.44049, |
| "name": "Évry" |
| }, |
| { |
| "lat": 45.11326, |
| "lon": 41.0365, |
| "name": "Novokubansk" |
| }, |
| { |
| "lat": -31.87101, |
| "lon": 26.97862, |
| "name": "Queensdale" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Gela, Beckenham, Évry, Novokubansk, Queensdale?", |
| "ground_truth": { |
| "answer": "Queensdale", |
| "outlier_distance_km": 6968.7, |
| "second_furthest_km": 2754.6, |
| "clarity_ratio": 2.53, |
| "median_distance_km": 2685.1, |
| "distances_to_centroid": { |
| "Gela": 817.5, |
| "Beckenham": 2754.6, |
| "Évry": 2401.7, |
| "Novokubansk": 2685.1, |
| "Queensdale": 6968.7 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Gela: (37.07°, 14.24°)", |
| " Beckenham: (51.41°, -0.03°)", |
| " Évry: (48.63°, 2.44°)", |
| " Novokubansk: (45.11°, 41.04°)", |
| " Queensdale: (-31.87°, 26.98°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Queensdale: 6968.7 km from centroid", |
| " Beckenham: 2754.6 km from centroid", |
| " Novokubansk: 2685.1 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Queensdale", |
| "FINAL ANSWER: Queensdale" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 35.73667, |
| "lon": 139.32361, |
| "name": "Fussa" |
| }, |
| { |
| "lat": -7.9797, |
| "lon": 112.6304, |
| "name": "Malang" |
| }, |
| { |
| "lat": 38.80898, |
| "lon": 77.44861, |
| "name": "Huangdi" |
| }, |
| { |
| "lat": 1.7439, |
| "lon": 103.3207, |
| "name": "Kawasan Penempatan Ulu Benut Lima" |
| }, |
| { |
| "lat": 33.41421, |
| "lon": -111.94348, |
| "name": "Tempe Junction" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Fussa, Malang, Huangdi, Kawasan Penempatan Ulu Benut Lima, Tempe Junction?", |
| "ground_truth": { |
| "answer": "Tempe Junction", |
| "outlier_distance_km": 14023.0, |
| "second_furthest_km": 7400.4, |
| "clarity_ratio": 1.89, |
| "median_distance_km": 6164.3, |
| "distances_to_centroid": { |
| "Fussa": 7400.4, |
| "Malang": 6164.3, |
| "Huangdi": 2416.1, |
| "Kawasan Penempatan Ulu Benut Lima": 4726.4, |
| "Tempe Junction": 14023.0 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Fussa: (35.74°, 139.32°)", |
| " Malang: (-7.98°, 112.63°)", |
| " Huangdi: (38.81°, 77.45°)", |
| " Kawasan Penempatan Ulu Benut Lima: (1.74°, 103.32°)", |
| " Tempe Junction: (33.41°, -111.94°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Tempe Junction: 14023.0 km from centroid", |
| " Fussa: 7400.4 km from centroid", |
| " Malang: 6164.3 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Tempe Junction", |
| "FINAL ANSWER: Tempe Junction" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -27.53221, |
| "lon": 153.22889, |
| "name": "Alexandra Hills" |
| }, |
| { |
| "lat": -37.83333, |
| "lon": 145.05, |
| "name": "Glenferrie" |
| }, |
| { |
| "lat": -37.91667, |
| "lon": 145.11667, |
| "name": "Clayton" |
| }, |
| { |
| "lat": -37.73261, |
| "lon": 144.86504, |
| "name": "Keilor East" |
| }, |
| { |
| "lat": 13.93139, |
| "lon": 121.61722, |
| "name": "Lucena" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Alexandra Hills, Glenferrie, Clayton, Keilor East, Lucena?", |
| "ground_truth": { |
| "answer": "Lucena", |
| "outlier_distance_km": 4899.8, |
| "second_furthest_km": 1421.1, |
| "clarity_ratio": 3.45, |
| "median_distance_km": 1410.8, |
| "distances_to_centroid": { |
| "Alexandra Hills": 1144.1, |
| "Glenferrie": 1410.8, |
| "Clayton": 1421.1, |
| "Keilor East": 1396.3, |
| "Lucena": 4899.8 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Alexandra Hills: (-27.53°, 153.23°)", |
| " Glenferrie: (-37.83°, 145.05°)", |
| " Clayton: (-37.92°, 145.12°)", |
| " Keilor East: (-37.73°, 144.87°)", |
| " Lucena: (13.93°, 121.62°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Lucena: 4899.8 km from centroid", |
| " Clayton: 1421.1 km from centroid", |
| " Glenferrie: 1410.8 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Lucena", |
| "FINAL ANSWER: Lucena" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -37.8149, |
| "lon": 144.95052, |
| "name": "Docklands" |
| }, |
| { |
| "lat": -37.6, |
| "lon": 144.95, |
| "name": "Craigieburn" |
| }, |
| { |
| "lat": -37.88461, |
| "lon": 145.29539, |
| "name": "Ferntree Gully" |
| }, |
| { |
| "lat": -32.05251, |
| "lon": 115.88782, |
| "name": "Willetton" |
| }, |
| { |
| "lat": 3.5638, |
| "lon": 101.6581, |
| "name": "Kuala Kubu Baharu" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Docklands, Craigieburn, Ferntree Gully, Willetton, Kuala Kubu Baharu?", |
| "ground_truth": { |
| "answer": "Kuala Kubu Baharu", |
| "outlier_distance_km": 4705.1, |
| "second_furthest_km": 1730.7, |
| "clarity_ratio": 2.72, |
| "median_distance_km": 1701.2, |
| "distances_to_centroid": { |
| "Docklands": 1701.2, |
| "Craigieburn": 1687.9, |
| "Ferntree Gully": 1730.7, |
| "Willetton": 1466.1, |
| "Kuala Kubu Baharu": 4705.1 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Docklands: (-37.81°, 144.95°)", |
| " Craigieburn: (-37.60°, 144.95°)", |
| " Ferntree Gully: (-37.88°, 145.30°)", |
| " Willetton: (-32.05°, 115.89°)", |
| " Kuala Kubu Baharu: (3.56°, 101.66°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Kuala Kubu Baharu: 4705.1 km from centroid", |
| " Ferntree Gully: 1730.7 km from centroid", |
| " Docklands: 1701.2 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Kuala Kubu Baharu", |
| "FINAL ANSWER: Kuala Kubu Baharu" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -8.3939, |
| "lon": 114.1464, |
| "name": "Gambiran Satu" |
| }, |
| { |
| "lat": 26.25318, |
| "lon": 108.65785, |
| "name": "Shangchong" |
| }, |
| { |
| "lat": 17.3381, |
| "lon": 77.90441, |
| "name": "Vikārābād" |
| }, |
| { |
| "lat": 21.59556, |
| "lon": 78.52628, |
| "name": "Pāndhurnā" |
| }, |
| { |
| "lat": -36.99282, |
| "lon": 174.87986, |
| "name": "Manukau City" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Gambiran Satu, Shangchong, Vikārābād, Pāndhurnā, Manukau City?", |
| "ground_truth": { |
| "answer": "Manukau City", |
| "outlier_distance_km": 8019.3, |
| "second_furthest_km": 3997.8, |
| "clarity_ratio": 2.01, |
| "median_distance_km": 3882.7, |
| "distances_to_centroid": { |
| "Gambiran Satu": 1422.3, |
| "Shangchong": 2489.6, |
| "Vikārābād": 3882.7, |
| "Pāndhurnā": 3997.8, |
| "Manukau City": 8019.3 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Gambiran Satu: (-8.39°, 114.15°)", |
| " Shangchong: (26.25°, 108.66°)", |
| " Vikārābād: (17.34°, 77.90°)", |
| " Pāndhurnā: (21.60°, 78.53°)", |
| " Manukau City: (-36.99°, 174.88°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Manukau City: 8019.3 km from centroid", |
| " Pāndhurnā: 3997.8 km from centroid", |
| " Vikārābād: 3882.7 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Manukau City", |
| "FINAL ANSWER: Manukau City" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 20.91528, |
| "lon": -100.74389, |
| "name": "San Miguel de Allende" |
| }, |
| { |
| "lat": 36.16284, |
| "lon": -85.50164, |
| "name": "Cookeville" |
| }, |
| { |
| "lat": 35.19807, |
| "lon": -111.65127, |
| "name": "Flagstaff" |
| }, |
| { |
| "lat": 38.98067, |
| "lon": -77.10026, |
| "name": "Bethesda" |
| }, |
| { |
| "lat": -32.27682, |
| "lon": 115.72978, |
| "name": "Rockingham" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: San Miguel de Allende, Cookeville, Flagstaff, Bethesda, Rockingham?", |
| "ground_truth": { |
| "answer": "Rockingham", |
| "outlier_distance_km": 18156.8, |
| "second_furthest_km": 6050.0, |
| "clarity_ratio": 3.0, |
| "median_distance_km": 5078.3, |
| "distances_to_centroid": { |
| "San Miguel de Allende": 5078.3, |
| "Cookeville": 3744.4, |
| "Flagstaff": 6050.0, |
| "Bethesda": 3224.9, |
| "Rockingham": 18156.8 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " San Miguel de Allende: (20.92°, -100.74°)", |
| " Cookeville: (36.16°, -85.50°)", |
| " Flagstaff: (35.20°, -111.65°)", |
| " Bethesda: (38.98°, -77.10°)", |
| " Rockingham: (-32.28°, 115.73°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Rockingham: 18156.8 km from centroid", |
| " Flagstaff: 6050.0 km from centroid", |
| " San Miguel de Allende: 5078.3 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Rockingham", |
| "FINAL ANSWER: Rockingham" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -41.13333, |
| "lon": 174.85, |
| "name": "Porirua" |
| }, |
| { |
| "lat": -37.87709, |
| "lon": 145.12939, |
| "name": "Mount Waverley" |
| }, |
| { |
| "lat": -37.79086, |
| "lon": 145.09386, |
| "name": "Balwyn North" |
| }, |
| { |
| "lat": -37.78333, |
| "lon": 175.28333, |
| "name": "Hamilton" |
| }, |
| { |
| "lat": 41.74753, |
| "lon": -87.71116, |
| "name": "Ashburn" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Porirua, Mount Waverley, Balwyn North, Hamilton, Ashburn?", |
| "ground_truth": { |
| "answer": "Ashburn", |
| "outlier_distance_km": 17289.4, |
| "second_furthest_km": 6324.8, |
| "clarity_ratio": 2.73, |
| "median_distance_km": 6268.0, |
| "distances_to_centroid": { |
| "Porirua": 6268.0, |
| "Mount Waverley": 3705.2, |
| "Balwyn North": 3699.4, |
| "Hamilton": 6324.8, |
| "Ashburn": 17289.4 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Porirua: (-41.13°, 174.85°)", |
| " Mount Waverley: (-37.88°, 145.13°)", |
| " Balwyn North: (-37.79°, 145.09°)", |
| " Hamilton: (-37.78°, 175.28°)", |
| " Ashburn: (41.75°, -87.71°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Ashburn: 17289.4 km from centroid", |
| " Hamilton: 6324.8 km from centroid", |
| " Porirua: 6268.0 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Ashburn", |
| "FINAL ANSWER: Ashburn" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 19.15892, |
| "lon": -98.40824, |
| "name": "Huejotzingo" |
| }, |
| { |
| "lat": 42.35176, |
| "lon": -71.86341, |
| "name": "Holden" |
| }, |
| { |
| "lat": 38.5245, |
| "lon": -90.35734, |
| "name": "Concord" |
| }, |
| { |
| "lat": 42.06642, |
| "lon": -87.93729, |
| "name": "Mount Prospect" |
| }, |
| { |
| "lat": -40.95972, |
| "lon": 175.6575, |
| "name": "Masterton" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Huejotzingo, Holden, Concord, Mount Prospect, Masterton?", |
| "ground_truth": { |
| "answer": "Masterton", |
| "outlier_distance_km": 16347.5, |
| "second_furthest_km": 6639.0, |
| "clarity_ratio": 2.46, |
| "median_distance_km": 5679.8, |
| "distances_to_centroid": { |
| "Huejotzingo": 6639.0, |
| "Holden": 4259.7, |
| "Concord": 5679.8, |
| "Mount Prospect": 5521.2, |
| "Masterton": 16347.5 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Huejotzingo: (19.16°, -98.41°)", |
| " Holden: (42.35°, -71.86°)", |
| " Concord: (38.52°, -90.36°)", |
| " Mount Prospect: (42.07°, -87.94°)", |
| " Masterton: (-40.96°, 175.66°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Masterton: 16347.5 km from centroid", |
| " Huejotzingo: 6639.0 km from centroid", |
| " Concord: 5679.8 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Masterton", |
| "FINAL ANSWER: Masterton" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -37.68333, |
| "lon": 145.01667, |
| "name": "Thomastown" |
| }, |
| { |
| "lat": -42.87936, |
| "lon": 147.32941, |
| "name": "Hobart" |
| }, |
| { |
| "lat": -32.83211, |
| "lon": 151.35623, |
| "name": "Cessnock" |
| }, |
| { |
| "lat": -33.91938, |
| "lon": 150.92588, |
| "name": "Liverpool" |
| }, |
| { |
| "lat": 11.01667, |
| "lon": 75.86667, |
| "name": "Pariyāpuram" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Thomastown, Hobart, Cessnock, Liverpool, Pariyāpuram?", |
| "ground_truth": { |
| "answer": "Pariyāpuram", |
| "outlier_distance_km": 7580.1, |
| "second_furthest_km": 2107.6, |
| "clarity_ratio": 3.6, |
| "median_distance_km": 1770.2, |
| "distances_to_centroid": { |
| "Thomastown": 1544.4, |
| "Hobart": 2107.6, |
| "Cessnock": 1770.2, |
| "Liverpool": 1769.7, |
| "Pariyāpuram": 7580.1 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Thomastown: (-37.68°, 145.02°)", |
| " Hobart: (-42.88°, 147.33°)", |
| " Cessnock: (-32.83°, 151.36°)", |
| " Liverpool: (-33.92°, 150.93°)", |
| " Pariyāpuram: (11.02°, 75.87°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Pariyāpuram: 7580.1 km from centroid", |
| " Hobart: 2107.6 km from centroid", |
| " Cessnock: 1770.2 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Pariyāpuram", |
| "FINAL ANSWER: Pariyāpuram" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 45.13325, |
| "lon": 10.02129, |
| "name": "Cremona" |
| }, |
| { |
| "lat": 51.37992, |
| "lon": -0.24445, |
| "name": "Worcester Park" |
| }, |
| { |
| "lat": 52.43367, |
| "lon": 8.61263, |
| "name": "Rahden" |
| }, |
| { |
| "lat": 43.25, |
| "lon": -5.76667, |
| "name": "Mieres" |
| }, |
| { |
| "lat": 30.12303, |
| "lon": 31.13571, |
| "name": "Awsīm" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Cremona, Worcester Park, Rahden, Mieres, Awsīm?", |
| "ground_truth": { |
| "answer": "Awsīm", |
| "outlier_distance_km": 2527.6, |
| "second_furthest_km": 1170.3, |
| "clarity_ratio": 2.16, |
| "median_distance_km": 1018.7, |
| "distances_to_centroid": { |
| "Cremona": 124.8, |
| "Worcester Park": 1018.7, |
| "Rahden": 886.2, |
| "Mieres": 1170.3, |
| "Awsīm": 2527.6 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Cremona: (45.13°, 10.02°)", |
| " Worcester Park: (51.38°, -0.24°)", |
| " Rahden: (52.43°, 8.61°)", |
| " Mieres: (43.25°, -5.77°)", |
| " Awsīm: (30.12°, 31.14°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Awsīm: 2527.6 km from centroid", |
| " Mieres: 1170.3 km from centroid", |
| " Worcester Park: 1018.7 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Awsīm", |
| "FINAL ANSWER: Awsīm" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 38.035, |
| "lon": 140.85111, |
| "name": "Watari" |
| }, |
| { |
| "lat": 34.61667, |
| "lon": 116.95, |
| "name": "Zhangzhai" |
| }, |
| { |
| "lat": 34.33284, |
| "lon": 132.56967, |
| "name": "Kumano" |
| }, |
| { |
| "lat": 28.24737, |
| "lon": 75.07666, |
| "name": "Bissāu" |
| }, |
| { |
| "lat": 36.20005, |
| "lon": -86.51861, |
| "name": "Mount Juliet" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Watari, Zhangzhai, Kumano, Bissāu, Mount Juliet?", |
| "ground_truth": { |
| "answer": "Mount Juliet", |
| "outlier_distance_km": 11965.3, |
| "second_furthest_km": 5735.2, |
| "clarity_ratio": 2.09, |
| "median_distance_km": 5143.1, |
| "distances_to_centroid": { |
| "Watari": 5735.2, |
| "Zhangzhai": 3747.7, |
| "Kumano": 5143.1, |
| "Bissāu": 674.9, |
| "Mount Juliet": 11965.3 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Watari: (38.03°, 140.85°)", |
| " Zhangzhai: (34.62°, 116.95°)", |
| " Kumano: (34.33°, 132.57°)", |
| " Bissāu: (28.25°, 75.08°)", |
| " Mount Juliet: (36.20°, -86.52°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Mount Juliet: 11965.3 km from centroid", |
| " Watari: 5735.2 km from centroid", |
| " Kumano: 5143.1 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Mount Juliet", |
| "FINAL ANSWER: Mount Juliet" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 8.3352, |
| "lon": 77.21361, |
| "name": "Pacode" |
| }, |
| { |
| "lat": 23.72536, |
| "lon": 85.51023, |
| "name": "Kuju" |
| }, |
| { |
| "lat": 9.86667, |
| "lon": 76.5, |
| "name": "Piravam" |
| }, |
| { |
| "lat": 33.78333, |
| "lon": 130.98333, |
| "name": "Kanda" |
| }, |
| { |
| "lat": -33.8178, |
| "lon": 151.00348, |
| "name": "Parramatta" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Pacode, Kuju, Piravam, Kanda, Parramatta?", |
| "ground_truth": { |
| "answer": "Parramatta", |
| "outlier_distance_km": 6803.6, |
| "second_furthest_km": 3933.8, |
| "clarity_ratio": 1.73, |
| "median_distance_km": 3049.4, |
| "distances_to_centroid": { |
| "Pacode": 2972.9, |
| "Kuju": 2624.1, |
| "Piravam": 3049.4, |
| "Kanda": 3933.8, |
| "Parramatta": 6803.6 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Pacode: (8.34°, 77.21°)", |
| " Kuju: (23.73°, 85.51°)", |
| " Piravam: (9.87°, 76.50°)", |
| " Kanda: (33.78°, 130.98°)", |
| " Parramatta: (-33.82°, 151.00°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Parramatta: 6803.6 km from centroid", |
| " Kanda: 3933.8 km from centroid", |
| " Piravam: 3049.4 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Parramatta", |
| "FINAL ANSWER: Parramatta" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -0.0962, |
| "lon": 34.27322, |
| "name": "Bondo" |
| }, |
| { |
| "lat": 25.75089, |
| "lon": 32.6776, |
| "name": "Az Zaynīyah Qiblī" |
| }, |
| { |
| "lat": -29.47795, |
| "lon": 30.23057, |
| "name": "Howick" |
| }, |
| { |
| "lat": -33.93462, |
| "lon": 18.86676, |
| "name": "Stellenbosch" |
| }, |
| { |
| "lat": -19.95194, |
| "lon": -44.34278, |
| "name": "Juatuba" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Bondo, Az Zaynīyah Qiblī, Howick, Stellenbosch, Juatuba?", |
| "ground_truth": { |
| "answer": "Juatuba", |
| "outlier_distance_km": 6320.5, |
| "second_furthest_km": 4597.4, |
| "clarity_ratio": 1.37, |
| "median_distance_km": 2585.0, |
| "distances_to_centroid": { |
| "Bondo": 2542.5, |
| "Az Zaynīyah Qiblī": 4597.4, |
| "Howick": 2585.0, |
| "Stellenbosch": 2532.0, |
| "Juatuba": 6320.5 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Bondo: (-0.10°, 34.27°)", |
| " Az Zaynīyah Qiblī: (25.75°, 32.68°)", |
| " Howick: (-29.48°, 30.23°)", |
| " Stellenbosch: (-33.93°, 18.87°)", |
| " Juatuba: (-19.95°, -44.34°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Juatuba: 6320.5 km from centroid", |
| " Az Zaynīyah Qiblī: 4597.4 km from centroid", |
| " Howick: 2585.0 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Juatuba", |
| "FINAL ANSWER: Juatuba" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 10.74055, |
| "lon": -74.75443, |
| "name": "Palmar de Varela" |
| }, |
| { |
| "lat": 1.25744, |
| "lon": -70.23551, |
| "name": "Mitú" |
| }, |
| { |
| "lat": -10.53944, |
| "lon": -37.41667, |
| "name": "Ribeirópolis" |
| }, |
| { |
| "lat": -15.29333, |
| "lon": -39.07528, |
| "name": "Una" |
| }, |
| { |
| "lat": 44.53889, |
| "lon": 10.81166, |
| "name": "Fiorano" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Palmar de Varela, Mitú, Ribeirópolis, Una, Fiorano?", |
| "ground_truth": { |
| "answer": "Fiorano", |
| "outlier_distance_km": 6656.5, |
| "second_furthest_km": 3622.1, |
| "clarity_ratio": 1.84, |
| "median_distance_km": 3164.1, |
| "distances_to_centroid": { |
| "Palmar de Varela": 3622.1, |
| "Mitú": 3164.1, |
| "Ribeirópolis": 1926.9, |
| "Una": 2407.1, |
| "Fiorano": 6656.5 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Palmar de Varela: (10.74°, -74.75°)", |
| " Mitú: (1.26°, -70.24°)", |
| " Ribeirópolis: (-10.54°, -37.42°)", |
| " Una: (-15.29°, -39.08°)", |
| " Fiorano: (44.54°, 10.81°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Fiorano: 6656.5 km from centroid", |
| " Palmar de Varela: 3622.1 km from centroid", |
| " Mitú: 3164.1 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Fiorano", |
| "FINAL ANSWER: Fiorano" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -26.53333, |
| "lon": 29.06667, |
| "name": "eMbalenhle" |
| }, |
| { |
| "lat": -23.88384, |
| "lon": 29.70557, |
| "name": "Mankweng" |
| }, |
| { |
| "lat": 11.74697, |
| "lon": 11.96083, |
| "name": "Damaturu" |
| }, |
| { |
| "lat": -25.48251, |
| "lon": 29.02763, |
| "name": "Verena" |
| }, |
| { |
| "lat": 6.42942, |
| "lon": 100.28174, |
| "name": "Kampung Hutan Arau" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: eMbalenhle, Mankweng, Damaturu, Verena, Kampung Hutan Arau?", |
| "ground_truth": { |
| "answer": "Kampung Hutan Arau", |
| "outlier_distance_km": 6959.6, |
| "second_furthest_km": 4037.3, |
| "clarity_ratio": 1.72, |
| "median_distance_km": 2022.3, |
| "distances_to_centroid": { |
| "eMbalenhle": 2022.3, |
| "Mankweng": 1751.3, |
| "Damaturu": 4037.3, |
| "Verena": 1932.2, |
| "Kampung Hutan Arau": 6959.6 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " eMbalenhle: (-26.53°, 29.07°)", |
| " Mankweng: (-23.88°, 29.71°)", |
| " Damaturu: (11.75°, 11.96°)", |
| " Verena: (-25.48°, 29.03°)", |
| " Kampung Hutan Arau: (6.43°, 100.28°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Kampung Hutan Arau: 6959.6 km from centroid", |
| " Damaturu: 4037.3 km from centroid", |
| " eMbalenhle: 2022.3 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Kampung Hutan Arau", |
| "FINAL ANSWER: Kampung Hutan Arau" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 36.12944, |
| "lon": 127.1, |
| "name": "Yŏnmu" |
| }, |
| { |
| "lat": 30.86761, |
| "lon": 108.36969, |
| "name": "Tiancheng" |
| }, |
| { |
| "lat": 25.56078, |
| "lon": 81.49164, |
| "name": "Bharwāri" |
| }, |
| { |
| "lat": 39.49944, |
| "lon": 106.71167, |
| "name": "Wuda" |
| }, |
| { |
| "lat": -22.41139, |
| "lon": -47.56139, |
| "name": "Rio Claro" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Yŏnmu, Tiancheng, Bharwāri, Wuda, Rio Claro?", |
| "ground_truth": { |
| "answer": "Rio Claro", |
| "outlier_distance_km": 14161.1, |
| "second_furthest_km": 5219.7, |
| "clarity_ratio": 2.71, |
| "median_distance_km": 3559.6, |
| "distances_to_centroid": { |
| "Yŏnmu": 5219.7, |
| "Tiancheng": 3433.3, |
| "Bharwāri": 755.0, |
| "Wuda": 3559.6, |
| "Rio Claro": 14161.1 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Yŏnmu: (36.13°, 127.10°)", |
| " Tiancheng: (30.87°, 108.37°)", |
| " Bharwāri: (25.56°, 81.49°)", |
| " Wuda: (39.50°, 106.71°)", |
| " Rio Claro: (-22.41°, -47.56°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Rio Claro: 14161.1 km from centroid", |
| " Yŏnmu: 5219.7 km from centroid", |
| " Wuda: 3559.6 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Rio Claro", |
| "FINAL ANSWER: Rio Claro" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -37.86667, |
| "lon": 145.06667, |
| "name": "Glen Iris" |
| }, |
| { |
| "lat": -37.78247, |
| "lon": 145.31682, |
| "name": "Mooroolbark" |
| }, |
| { |
| "lat": -37.94853, |
| "lon": 145.15274, |
| "name": "Springvale" |
| }, |
| { |
| "lat": -33.72197, |
| "lon": 151.04607, |
| "name": "Cherrybrook" |
| }, |
| { |
| "lat": 19.88372, |
| "lon": -103.60073, |
| "name": "Sayula" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Glen Iris, Mooroolbark, Springvale, Cherrybrook, Sayula?", |
| "ground_truth": { |
| "answer": "Sayula", |
| "outlier_distance_km": 17854.1, |
| "second_furthest_km": 5283.2, |
| "clarity_ratio": 3.38, |
| "median_distance_km": 4753.7, |
| "distances_to_centroid": { |
| "Glen Iris": 4732.1, |
| "Mooroolbark": 4753.7, |
| "Springvale": 4740.1, |
| "Cherrybrook": 5283.2, |
| "Sayula": 17854.1 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Glen Iris: (-37.87°, 145.07°)", |
| " Mooroolbark: (-37.78°, 145.32°)", |
| " Springvale: (-37.95°, 145.15°)", |
| " Cherrybrook: (-33.72°, 151.05°)", |
| " Sayula: (19.88°, -103.60°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Sayula: 17854.1 km from centroid", |
| " Cherrybrook: 5283.2 km from centroid", |
| " Mooroolbark: 4753.7 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Sayula", |
| "FINAL ANSWER: Sayula" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -5.85833, |
| "lon": -35.35389, |
| "name": "Macaíba" |
| }, |
| { |
| "lat": -3.30708, |
| "lon": -52.53863, |
| "name": "Brasil Novo" |
| }, |
| { |
| "lat": 7.90745, |
| "lon": -72.5049, |
| "name": "Cúcuta" |
| }, |
| { |
| "lat": -25.97972, |
| "lon": -52.56778, |
| "name": "Coronel Vivida" |
| }, |
| { |
| "lat": -37.88264, |
| "lon": 144.7003, |
| "name": "Hoppers Crossing" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Macaíba, Brasil Novo, Cúcuta, Coronel Vivida, Hoppers Crossing?", |
| "ground_truth": { |
| "answer": "Hoppers Crossing", |
| "outlier_distance_km": 13921.0, |
| "second_furthest_km": 6903.6, |
| "clarity_ratio": 2.02, |
| "median_distance_km": 4407.3, |
| "distances_to_centroid": { |
| "Macaíba": 2508.2, |
| "Brasil Novo": 4407.3, |
| "Cúcuta": 6903.6, |
| "Coronel Vivida": 4305.8, |
| "Hoppers Crossing": 13921.0 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Macaíba: (-5.86°, -35.35°)", |
| " Brasil Novo: (-3.31°, -52.54°)", |
| " Cúcuta: (7.91°, -72.50°)", |
| " Coronel Vivida: (-25.98°, -52.57°)", |
| " Hoppers Crossing: (-37.88°, 144.70°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Hoppers Crossing: 13921.0 km from centroid", |
| " Cúcuta: 6903.6 km from centroid", |
| " Brasil Novo: 4407.3 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Hoppers Crossing", |
| "FINAL ANSWER: Hoppers Crossing" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -23.84852, |
| "lon": 151.25775, |
| "name": "Gladstone" |
| }, |
| { |
| "lat": -34.78254, |
| "lon": 138.61077, |
| "name": "Parafield Gardens" |
| }, |
| { |
| "lat": -27.96724, |
| "lon": 153.39796, |
| "name": "Southport" |
| }, |
| { |
| "lat": -39.06667, |
| "lon": 174.08333, |
| "name": "New Plymouth" |
| }, |
| { |
| "lat": -4.95611, |
| "lon": -37.13694, |
| "name": "Areia Branca" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Gladstone, Parafield Gardens, Southport, New Plymouth, Areia Branca?", |
| "ground_truth": { |
| "answer": "Areia Branca", |
| "outlier_distance_km": 15509.9, |
| "second_furthest_km": 5528.9, |
| "clarity_ratio": 2.81, |
| "median_distance_km": 3690.9, |
| "distances_to_centroid": { |
| "Gladstone": 3547.6, |
| "Parafield Gardens": 2360.7, |
| "Southport": 3690.9, |
| "New Plymouth": 5528.9, |
| "Areia Branca": 15509.9 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Gladstone: (-23.85°, 151.26°)", |
| " Parafield Gardens: (-34.78°, 138.61°)", |
| " Southport: (-27.97°, 153.40°)", |
| " New Plymouth: (-39.07°, 174.08°)", |
| " Areia Branca: (-4.96°, -37.14°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Areia Branca: 15509.9 km from centroid", |
| " New Plymouth: 5528.9 km from centroid", |
| " Southport: 3690.9 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Areia Branca", |
| "FINAL ANSWER: Areia Branca" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -37.8, |
| "lon": 144.9, |
| "name": "Footscray" |
| }, |
| { |
| "lat": -37.79086, |
| "lon": 145.09386, |
| "name": "Balwyn North" |
| }, |
| { |
| "lat": -37.88333, |
| "lon": 145.21667, |
| "name": "Wantirna South" |
| }, |
| { |
| "lat": -37.0393, |
| "lon": 174.92815, |
| "name": "Takanini" |
| }, |
| { |
| "lat": 51.15, |
| "lon": 7.0, |
| "name": "Ohligs" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Footscray, Balwyn North, Wantirna South, Takanini, Ohligs?", |
| "ground_truth": { |
| "answer": "Ohligs", |
| "outlier_distance_km": 13546.1, |
| "second_furthest_km": 5312.1, |
| "clarity_ratio": 2.55, |
| "median_distance_km": 2903.0, |
| "distances_to_centroid": { |
| "Footscray": 2875.4, |
| "Balwyn North": 2888.2, |
| "Wantirna South": 2903.0, |
| "Takanini": 5312.1, |
| "Ohligs": 13546.1 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Footscray: (-37.80°, 144.90°)", |
| " Balwyn North: (-37.79°, 145.09°)", |
| " Wantirna South: (-37.88°, 145.22°)", |
| " Takanini: (-37.04°, 174.93°)", |
| " Ohligs: (51.15°, 7.00°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Ohligs: 13546.1 km from centroid", |
| " Takanini: 5312.1 km from centroid", |
| " Wantirna South: 2903.0 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Ohligs", |
| "FINAL ANSWER: Ohligs" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 54.60528, |
| "lon": 18.34717, |
| "name": "Reda" |
| }, |
| { |
| "lat": 49.71443, |
| "lon": 7.30776, |
| "name": "Idar-Oberstein" |
| }, |
| { |
| "lat": 51.36973, |
| "lon": 10.87011, |
| "name": "Sondershausen" |
| }, |
| { |
| "lat": 40.49631, |
| "lon": -3.71957, |
| "name": "Mirasierra" |
| }, |
| { |
| "lat": -0.52731, |
| "lon": 34.45714, |
| "name": "Homa Bay" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Reda, Idar-Oberstein, Sondershausen, Mirasierra, Homa Bay?", |
| "ground_truth": { |
| "answer": "Homa Bay", |
| "outlier_distance_km": 4902.0, |
| "second_furthest_km": 1759.3, |
| "clarity_ratio": 2.79, |
| "median_distance_km": 1472.2, |
| "distances_to_centroid": { |
| "Reda": 1759.3, |
| "Idar-Oberstein": 1272.8, |
| "Sondershausen": 1375.5, |
| "Mirasierra": 1472.2, |
| "Homa Bay": 4902.0 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Reda: (54.61°, 18.35°)", |
| " Idar-Oberstein: (49.71°, 7.31°)", |
| " Sondershausen: (51.37°, 10.87°)", |
| " Mirasierra: (40.50°, -3.72°)", |
| " Homa Bay: (-0.53°, 34.46°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Homa Bay: 4902.0 km from centroid", |
| " Reda: 1759.3 km from centroid", |
| " Mirasierra: 1472.2 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Homa Bay", |
| "FINAL ANSWER: Homa Bay" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -8.80972, |
| "lon": -63.69556, |
| "name": "Candeias do Jamari" |
| }, |
| { |
| "lat": -8.14583, |
| "lon": -36.37111, |
| "name": "Brejo da Madre de Deus" |
| }, |
| { |
| "lat": -30.51436, |
| "lon": -53.48496, |
| "name": "Caçapava do Sul" |
| }, |
| { |
| "lat": -19.22444, |
| "lon": -44.93528, |
| "name": "Pompéu" |
| }, |
| { |
| "lat": -37.86667, |
| "lon": 145.28333, |
| "name": "Boronia" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Candeias do Jamari, Brejo da Madre de Deus, Caçapava do Sul, Pompéu, Boronia?", |
| "ground_truth": { |
| "answer": "Boronia", |
| "outlier_distance_km": 13011.2, |
| "second_furthest_km": 5831.8, |
| "clarity_ratio": 2.23, |
| "median_distance_km": 4395.6, |
| "distances_to_centroid": { |
| "Candeias do Jamari": 5831.8, |
| "Brejo da Madre de Deus": 3104.7, |
| "Caçapava do Sul": 4395.6, |
| "Pompéu": 3580.1, |
| "Boronia": 13011.2 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Candeias do Jamari: (-8.81°, -63.70°)", |
| " Brejo da Madre de Deus: (-8.15°, -36.37°)", |
| " Caçapava do Sul: (-30.51°, -53.48°)", |
| " Pompéu: (-19.22°, -44.94°)", |
| " Boronia: (-37.87°, 145.28°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Boronia: 13011.2 km from centroid", |
| " Candeias do Jamari: 5831.8 km from centroid", |
| " Caçapava do Sul: 4395.6 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Boronia", |
| "FINAL ANSWER: Boronia" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -24.78864, |
| "lon": 31.07938, |
| "name": "Mafemani" |
| }, |
| { |
| "lat": 0.0607, |
| "lon": 34.28806, |
| "name": "Siaya" |
| }, |
| { |
| "lat": 30.18479, |
| "lon": 31.10649, |
| "name": "Manshīyat al Qanāţir" |
| }, |
| { |
| "lat": 5.51737, |
| "lon": 5.75006, |
| "name": "Warri" |
| }, |
| { |
| "lat": -37.69825, |
| "lon": 145.05967, |
| "name": "Bundoora" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Mafemani, Siaya, Manshīyat al Qanāţir, Warri, Bundoora?", |
| "ground_truth": { |
| "answer": "Bundoora", |
| "outlier_distance_km": 10134.7, |
| "second_furthest_km": 5000.7, |
| "clarity_ratio": 2.03, |
| "median_distance_km": 4407.9, |
| "distances_to_centroid": { |
| "Mafemani": 2918.9, |
| "Siaya": 1788.3, |
| "Manshīyat al Qanāţir": 4407.9, |
| "Warri": 5000.7, |
| "Bundoora": 10134.7 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Mafemani: (-24.79°, 31.08°)", |
| " Siaya: (0.06°, 34.29°)", |
| " Manshīyat al Qanāţir: (30.18°, 31.11°)", |
| " Warri: (5.52°, 5.75°)", |
| " Bundoora: (-37.70°, 145.06°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Bundoora: 10134.7 km from centroid", |
| " Warri: 5000.7 km from centroid", |
| " Manshīyat al Qanāţir: 4407.9 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Bundoora", |
| "FINAL ANSWER: Bundoora" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -38.03333, |
| "lon": 145.3, |
| "name": "Narre Warren" |
| }, |
| { |
| "lat": -33.95, |
| "lon": 151.11667, |
| "name": "Bexley" |
| }, |
| { |
| "lat": -33.8406, |
| "lon": 151.00748, |
| "name": "Granville" |
| }, |
| { |
| "lat": -37.56622, |
| "lon": 143.84957, |
| "name": "Ballarat" |
| }, |
| { |
| "lat": -8.9475, |
| "lon": -37.42278, |
| "name": "Itaíba" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Narre Warren, Bexley, Granville, Ballarat, Itaíba?", |
| "ground_truth": { |
| "answer": "Itaíba", |
| "outlier_distance_km": 14471.3, |
| "second_furthest_km": 3791.4, |
| "clarity_ratio": 3.82, |
| "median_distance_km": 3782.6, |
| "distances_to_centroid": { |
| "Narre Warren": 3262.9, |
| "Bexley": 3791.4, |
| "Granville": 3782.6, |
| "Ballarat": 3131.7, |
| "Itaíba": 14471.3 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Narre Warren: (-38.03°, 145.30°)", |
| " Bexley: (-33.95°, 151.12°)", |
| " Granville: (-33.84°, 151.01°)", |
| " Ballarat: (-37.57°, 143.85°)", |
| " Itaíba: (-8.95°, -37.42°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Itaíba: 14471.3 km from centroid", |
| " Bexley: 3791.4 km from centroid", |
| " Granville: 3782.6 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Itaíba", |
| "FINAL ANSWER: Itaíba" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -2.41889, |
| "lon": -48.15222, |
| "name": "Tomé-Açu" |
| }, |
| { |
| "lat": -16.44972, |
| "lon": -39.06472, |
| "name": "Porto Seguro" |
| }, |
| { |
| "lat": -22.50972, |
| "lon": -47.77806, |
| "name": "Charqueada" |
| }, |
| { |
| "lat": -4.02694, |
| "lon": -38.305, |
| "name": "Pindoretama" |
| }, |
| { |
| "lat": -34.06564, |
| "lon": 151.01266, |
| "name": "Engadine" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Tomé-Açu, Porto Seguro, Charqueada, Pindoretama, Engadine?", |
| "ground_truth": { |
| "answer": "Engadine", |
| "outlier_distance_km": 13882.6, |
| "second_furthest_km": 5010.8, |
| "clarity_ratio": 2.77, |
| "median_distance_km": 4592.5, |
| "distances_to_centroid": { |
| "Tomé-Açu": 5010.8, |
| "Porto Seguro": 3691.9, |
| "Charqueada": 4592.5, |
| "Pindoretama": 3926.4, |
| "Engadine": 13882.6 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Tomé-Açu: (-2.42°, -48.15°)", |
| " Porto Seguro: (-16.45°, -39.06°)", |
| " Charqueada: (-22.51°, -47.78°)", |
| " Pindoretama: (-4.03°, -38.30°)", |
| " Engadine: (-34.07°, 151.01°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Engadine: 13882.6 km from centroid", |
| " Tomé-Açu: 5010.8 km from centroid", |
| " Charqueada: 4592.5 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Engadine", |
| "FINAL ANSWER: Engadine" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -1.29389, |
| "lon": -47.92639, |
| "name": "Castanhal" |
| }, |
| { |
| "lat": -22.87278, |
| "lon": -42.34306, |
| "name": "Araruama" |
| }, |
| { |
| "lat": -9.50194, |
| "lon": -36.02278, |
| "name": "Atalaia" |
| }, |
| { |
| "lat": -12.05, |
| "lon": -38.76667, |
| "name": "Irará" |
| }, |
| { |
| "lat": 13.56083, |
| "lon": 38.97389, |
| "name": "Ābīy Ādī" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Castanhal, Araruama, Atalaia, Irará, Ābīy Ādī?", |
| "ground_truth": { |
| "answer": "Ābīy Ādī", |
| "outlier_distance_km": 7425.3, |
| "second_furthest_km": 2589.8, |
| "clarity_ratio": 2.87, |
| "median_distance_km": 2582.5, |
| "distances_to_centroid": { |
| "Castanhal": 2582.5, |
| "Araruama": 2589.8, |
| "Atalaia": 1237.8, |
| "Irará": 1612.3, |
| "Ābīy Ādī": 7425.3 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Castanhal: (-1.29°, -47.93°)", |
| " Araruama: (-22.87°, -42.34°)", |
| " Atalaia: (-9.50°, -36.02°)", |
| " Irará: (-12.05°, -38.77°)", |
| " Ābīy Ādī: (13.56°, 38.97°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Ābīy Ādī: 7425.3 km from centroid", |
| " Araruama: 2589.8 km from centroid", |
| " Castanhal: 2582.5 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Ābīy Ādī", |
| "FINAL ANSWER: Ābīy Ādī" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 5.96502, |
| "lon": -75.96541, |
| "name": "Salgar" |
| }, |
| { |
| "lat": -36.61756, |
| "lon": -72.95593, |
| "name": "Tomé" |
| }, |
| { |
| "lat": 5.0668, |
| "lon": -75.50684, |
| "name": "Manizales" |
| }, |
| { |
| "lat": -18.77861, |
| "lon": -46.4075, |
| "name": "Lagoa Formosa" |
| }, |
| { |
| "lat": 54.60638, |
| "lon": 53.71179, |
| "name": "Tuymazy" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Salgar, Tomé, Manizales, Lagoa Formosa, Tuymazy?", |
| "ground_truth": { |
| "answer": "Tuymazy", |
| "outlier_distance_km": 10280.1, |
| "second_furthest_km": 5273.1, |
| "clarity_ratio": 1.95, |
| "median_distance_km": 3634.7, |
| "distances_to_centroid": { |
| "Salgar": 3634.7, |
| "Tomé": 5273.1, |
| "Manizales": 3575.7, |
| "Lagoa Formosa": 2338.7, |
| "Tuymazy": 10280.1 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Salgar: (5.97°, -75.97°)", |
| " Tomé: (-36.62°, -72.96°)", |
| " Manizales: (5.07°, -75.51°)", |
| " Lagoa Formosa: (-18.78°, -46.41°)", |
| " Tuymazy: (54.61°, 53.71°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Tuymazy: 10280.1 km from centroid", |
| " Tomé: 5273.1 km from centroid", |
| " Salgar: 3634.7 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Tuymazy", |
| "FINAL ANSWER: Tuymazy" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -33.91972, |
| "lon": 151.07592, |
| "name": "Lakemba" |
| }, |
| { |
| "lat": -37.81667, |
| "lon": 145.23333, |
| "name": "Ringwood" |
| }, |
| { |
| "lat": -35.13333, |
| "lon": 138.51667, |
| "name": "Morphett Vale" |
| }, |
| { |
| "lat": -35.28346, |
| "lon": 149.12807, |
| "name": "Canberra" |
| }, |
| { |
| "lat": 40.5769, |
| "lon": 16.75655, |
| "name": "Ginosa" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Lakemba, Ringwood, Morphett Vale, Canberra, Ginosa?", |
| "ground_truth": { |
| "answer": "Ginosa", |
| "outlier_distance_km": 12565.0, |
| "second_furthest_km": 3396.2, |
| "clarity_ratio": 3.7, |
| "median_distance_km": 3282.5, |
| "distances_to_centroid": { |
| "Lakemba": 3396.2, |
| "Ringwood": 3101.9, |
| "Morphett Vale": 2438.5, |
| "Canberra": 3282.5, |
| "Ginosa": 12565.0 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Lakemba: (-33.92°, 151.08°)", |
| " Ringwood: (-37.82°, 145.23°)", |
| " Morphett Vale: (-35.13°, 138.52°)", |
| " Canberra: (-35.28°, 149.13°)", |
| " Ginosa: (40.58°, 16.76°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Ginosa: 12565.0 km from centroid", |
| " Lakemba: 3396.2 km from centroid", |
| " Canberra: 3282.5 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Ginosa", |
| "FINAL ANSWER: Ginosa" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -23.50099, |
| "lon": -46.65744, |
| "name": "Casa Verde" |
| }, |
| { |
| "lat": -23.52278, |
| "lon": -46.18833, |
| "name": "Mogi das Cruzes" |
| }, |
| { |
| "lat": -29.25611, |
| "lon": -51.53361, |
| "name": "Garibaldi" |
| }, |
| { |
| "lat": -34.5651, |
| "lon": -58.69034, |
| "name": "Bella Vista" |
| }, |
| { |
| "lat": 35.76232, |
| "lon": 139.31952, |
| "name": "Hamura" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Casa Verde, Mogi das Cruzes, Garibaldi, Bella Vista, Hamura?", |
| "ground_truth": { |
| "answer": "Hamura", |
| "outlier_distance_km": 16406.9, |
| "second_furthest_km": 5066.6, |
| "clarity_ratio": 3.24, |
| "median_distance_km": 4272.0, |
| "distances_to_centroid": { |
| "Casa Verde": 3672.3, |
| "Mogi das Cruzes": 3625.4, |
| "Garibaldi": 4272.0, |
| "Bella Vista": 5066.6, |
| "Hamura": 16406.9 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Casa Verde: (-23.50°, -46.66°)", |
| " Mogi das Cruzes: (-23.52°, -46.19°)", |
| " Garibaldi: (-29.26°, -51.53°)", |
| " Bella Vista: (-34.57°, -58.69°)", |
| " Hamura: (35.76°, 139.32°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Hamura: 16406.9 km from centroid", |
| " Bella Vista: 5066.6 km from centroid", |
| " Garibaldi: 4272.0 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Hamura", |
| "FINAL ANSWER: Hamura" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -23.55242, |
| "lon": -46.65735, |
| "name": "Consolação" |
| }, |
| { |
| "lat": -25.77889, |
| "lon": -49.32611, |
| "name": "Mandirituba" |
| }, |
| { |
| "lat": -30.00018, |
| "lon": -51.07632, |
| "name": "Alvorada" |
| }, |
| { |
| "lat": -9.00972, |
| "lon": -36.05833, |
| "name": "São José da Laje" |
| }, |
| { |
| "lat": -33.92399, |
| "lon": 151.22749, |
| "name": "Kingsford" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Consolação, Mandirituba, Alvorada, São José da Laje, Kingsford?", |
| "ground_truth": { |
| "answer": "Kingsford", |
| "outlier_distance_km": 13105.8, |
| "second_furthest_km": 4434.9, |
| "clarity_ratio": 2.96, |
| "median_distance_km": 4307.3, |
| "distances_to_centroid": { |
| "Consolação": 4078.2, |
| "Mandirituba": 4307.3, |
| "Alvorada": 4434.9, |
| "São José da Laje": 3583.5, |
| "Kingsford": 13105.8 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Consolação: (-23.55°, -46.66°)", |
| " Mandirituba: (-25.78°, -49.33°)", |
| " Alvorada: (-30.00°, -51.08°)", |
| " São José da Laje: (-9.01°, -36.06°)", |
| " Kingsford: (-33.92°, 151.23°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Kingsford: 13105.8 km from centroid", |
| " Alvorada: 4434.9 km from centroid", |
| " Mandirituba: 4307.3 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Kingsford", |
| "FINAL ANSWER: Kingsford" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -37.83634, |
| "lon": 144.65952, |
| "name": "Tarneit" |
| }, |
| { |
| "lat": -38.11531, |
| "lon": 145.29814, |
| "name": "Cranbourne East" |
| }, |
| { |
| "lat": -34.92866, |
| "lon": 138.59863, |
| "name": "Adelaide" |
| }, |
| { |
| "lat": -33.71816, |
| "lon": 151.11561, |
| "name": "Wahroonga" |
| }, |
| { |
| "lat": -22.29194, |
| "lon": -51.90639, |
| "name": "Mirante do Paranapanema" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Tarneit, Cranbourne East, Adelaide, Wahroonga, Mirante do Paranapanema?", |
| "ground_truth": { |
| "answer": "Mirante do Paranapanema", |
| "outlier_distance_km": 13379.8, |
| "second_furthest_km": 4187.1, |
| "clarity_ratio": 3.2, |
| "median_distance_km": 3597.7, |
| "distances_to_centroid": { |
| "Tarneit": 3544.0, |
| "Cranbourne East": 3597.7, |
| "Adelaide": 3031.9, |
| "Wahroonga": 4187.1, |
| "Mirante do Paranapanema": 13379.8 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Tarneit: (-37.84°, 144.66°)", |
| " Cranbourne East: (-38.12°, 145.30°)", |
| " Adelaide: (-34.93°, 138.60°)", |
| " Wahroonga: (-33.72°, 151.12°)", |
| " Mirante do Paranapanema: (-22.29°, -51.91°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Mirante do Paranapanema: 13379.8 km from centroid", |
| " Wahroonga: 4187.1 km from centroid", |
| " Cranbourne East: 3597.7 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Mirante do Paranapanema", |
| "FINAL ANSWER: Mirante do Paranapanema" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -29.20932, |
| "lon": 26.83898, |
| "name": "Thaba Nchu" |
| }, |
| { |
| "lat": -0.90711, |
| "lon": 34.52895, |
| "name": "Awendo" |
| }, |
| { |
| "lat": -23.90449, |
| "lon": 29.46885, |
| "name": "Polokwane" |
| }, |
| { |
| "lat": 5.55221, |
| "lon": -0.33912, |
| "name": "Mandela" |
| }, |
| { |
| "lat": 24.57578, |
| "lon": 77.73123, |
| "name": "Ashoknagar" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Thaba Nchu, Awendo, Polokwane, Mandela, Ashoknagar?", |
| "ground_truth": { |
| "answer": "Ashoknagar", |
| "outlier_distance_km": 5776.8, |
| "second_furthest_km": 3944.7, |
| "clarity_ratio": 1.46, |
| "median_distance_km": 2809.5, |
| "distances_to_centroid": { |
| "Thaba Nchu": 2809.5, |
| "Awendo": 441.5, |
| "Polokwane": 2173.3, |
| "Mandela": 3944.7, |
| "Ashoknagar": 5776.8 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Thaba Nchu: (-29.21°, 26.84°)", |
| " Awendo: (-0.91°, 34.53°)", |
| " Polokwane: (-23.90°, 29.47°)", |
| " Mandela: (5.55°, -0.34°)", |
| " Ashoknagar: (24.58°, 77.73°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Ashoknagar: 5776.8 km from centroid", |
| " Mandela: 3944.7 km from centroid", |
| " Thaba Nchu: 2809.5 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Ashoknagar", |
| "FINAL ANSWER: Ashoknagar" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 48.81568, |
| "lon": 2.38487, |
| "name": "Ivry-sur-Seine" |
| }, |
| { |
| "lat": 41.21667, |
| "lon": 1.53333, |
| "name": "El Vendrell" |
| }, |
| { |
| "lat": 51.80924, |
| "lon": 8.42841, |
| "name": "Rietberg" |
| }, |
| { |
| "lat": 42.35055, |
| "lon": 13.39954, |
| "name": "L'Aquila" |
| }, |
| { |
| "lat": 34.09001, |
| "lon": -117.89034, |
| "name": "Covina" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Ivry-sur-Seine, El Vendrell, Rietberg, L'Aquila, Covina?", |
| "ground_truth": { |
| "answer": "Covina", |
| "outlier_distance_km": 8143.4, |
| "second_furthest_km": 2576.4, |
| "clarity_ratio": 3.16, |
| "median_distance_km": 2187.3, |
| "distances_to_centroid": { |
| "Ivry-sur-Seine": 1694.0, |
| "El Vendrell": 1656.3, |
| "Rietberg": 2187.3, |
| "L'Aquila": 2576.4, |
| "Covina": 8143.4 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Ivry-sur-Seine: (48.82°, 2.38°)", |
| " El Vendrell: (41.22°, 1.53°)", |
| " Rietberg: (51.81°, 8.43°)", |
| " L'Aquila: (42.35°, 13.40°)", |
| " Covina: (34.09°, -117.89°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Covina: 8143.4 km from centroid", |
| " L'Aquila: 2576.4 km from centroid", |
| " Rietberg: 2187.3 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Covina", |
| "FINAL ANSWER: Covina" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 12.6, |
| "lon": 37.46667, |
| "name": "Gonder" |
| }, |
| { |
| "lat": -0.4841, |
| "lon": 37.12662, |
| "name": "Karatina" |
| }, |
| { |
| "lat": 9.03333, |
| "lon": 38.4, |
| "name": "Ādīs ‘Alem" |
| }, |
| { |
| "lat": 12.74482, |
| "lon": 4.52514, |
| "name": "Argungu" |
| }, |
| { |
| "lat": 7.97917, |
| "lon": -75.4202, |
| "name": "Montelíbano" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Gonder, Karatina, Ādīs ‘Alem, Argungu, Montelíbano?", |
| "ground_truth": { |
| "answer": "Montelíbano", |
| "outlier_distance_km": 9206.8, |
| "second_furthest_km": 3330.1, |
| "clarity_ratio": 2.76, |
| "median_distance_km": 3295.2, |
| "distances_to_centroid": { |
| "Gonder": 3208.6, |
| "Karatina": 3330.1, |
| "Ādīs ‘Alem": 3295.2, |
| "Argungu": 646.0, |
| "Montelíbano": 9206.8 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Gonder: (12.60°, 37.47°)", |
| " Karatina: (-0.48°, 37.13°)", |
| " Ādīs ‘Alem: (9.03°, 38.40°)", |
| " Argungu: (12.74°, 4.53°)", |
| " Montelíbano: (7.98°, -75.42°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Montelíbano: 9206.8 km from centroid", |
| " Karatina: 3330.1 km from centroid", |
| " Ādīs ‘Alem: 3295.2 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Montelíbano", |
| "FINAL ANSWER: Montelíbano" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -27.08465, |
| "lon": 152.9511, |
| "name": "Caboolture" |
| }, |
| { |
| "lat": -31.95224, |
| "lon": 115.8614, |
| "name": "Perth" |
| }, |
| { |
| "lat": -32.27682, |
| "lon": 115.72978, |
| "name": "Rockingham" |
| }, |
| { |
| "lat": -38.68333, |
| "lon": 176.08333, |
| "name": "Taupo" |
| }, |
| { |
| "lat": 16.62473, |
| "lon": -93.09894, |
| "name": "Suchiapa" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Caboolture, Perth, Rockingham, Taupo, Suchiapa?", |
| "ground_truth": { |
| "answer": "Suchiapa", |
| "outlier_distance_km": 19050.6, |
| "second_furthest_km": 7838.0, |
| "clarity_ratio": 2.43, |
| "median_distance_km": 5962.2, |
| "distances_to_centroid": { |
| "Caboolture": 5962.2, |
| "Perth": 2431.1, |
| "Rockingham": 2431.8, |
| "Taupo": 7838.0, |
| "Suchiapa": 19050.6 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Caboolture: (-27.08°, 152.95°)", |
| " Perth: (-31.95°, 115.86°)", |
| " Rockingham: (-32.28°, 115.73°)", |
| " Taupo: (-38.68°, 176.08°)", |
| " Suchiapa: (16.62°, -93.10°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Suchiapa: 19050.6 km from centroid", |
| " Taupo: 7838.0 km from centroid", |
| " Caboolture: 5962.2 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Suchiapa", |
| "FINAL ANSWER: Suchiapa" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 42.69303, |
| "lon": -83.41181, |
| "name": "Waterford" |
| }, |
| { |
| "lat": 19.95232, |
| "lon": -102.30781, |
| "name": "Jacona de Plancarte" |
| }, |
| { |
| "lat": 39.08289, |
| "lon": -77.26498, |
| "name": "North Potomac" |
| }, |
| { |
| "lat": 21.17429, |
| "lon": -86.84656, |
| "name": "Cancún" |
| }, |
| { |
| "lat": -39.06667, |
| "lon": 174.08333, |
| "name": "New Plymouth" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Waterford, Jacona de Plancarte, North Potomac, Cancún, New Plymouth?", |
| "ground_truth": { |
| "answer": "New Plymouth", |
| "outlier_distance_km": 16251.5, |
| "second_furthest_km": 7049.4, |
| "clarity_ratio": 2.31, |
| "median_distance_km": 5435.5, |
| "distances_to_centroid": { |
| "Waterford": 5380.2, |
| "Jacona de Plancarte": 7049.4, |
| "North Potomac": 4764.1, |
| "Cancún": 5435.5, |
| "New Plymouth": 16251.5 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Waterford: (42.69°, -83.41°)", |
| " Jacona de Plancarte: (19.95°, -102.31°)", |
| " North Potomac: (39.08°, -77.26°)", |
| " Cancún: (21.17°, -86.85°)", |
| " New Plymouth: (-39.07°, 174.08°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " New Plymouth: 16251.5 km from centroid", |
| " Jacona de Plancarte: 7049.4 km from centroid", |
| " Cancún: 5435.5 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: New Plymouth", |
| "FINAL ANSWER: New Plymouth" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -22.25222, |
| "lon": -45.70333, |
| "name": "Santa Rita do Sapucaí" |
| }, |
| { |
| "lat": 7.06528, |
| "lon": -73.85472, |
| "name": "Barrancabermeja" |
| }, |
| { |
| "lat": -31.395, |
| "lon": -52.67556, |
| "name": "Canguçu" |
| }, |
| { |
| "lat": -8.51417, |
| "lon": -39.31, |
| "name": "Cabrobó" |
| }, |
| { |
| "lat": 9.46374, |
| "lon": 12.03062, |
| "name": "Numan" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Santa Rita do Sapucaí, Barrancabermeja, Canguçu, Cabrobó, Numan?", |
| "ground_truth": { |
| "answer": "Numan", |
| "outlier_distance_km": 6109.2, |
| "second_furthest_km": 4170.6, |
| "clarity_ratio": 1.46, |
| "median_distance_km": 2806.1, |
| "distances_to_centroid": { |
| "Santa Rita do Sapucaí": 1585.5, |
| "Barrancabermeja": 4170.6, |
| "Canguçu": 2806.1, |
| "Cabrobó": 94.2, |
| "Numan": 6109.2 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Santa Rita do Sapucaí: (-22.25°, -45.70°)", |
| " Barrancabermeja: (7.07°, -73.85°)", |
| " Canguçu: (-31.39°, -52.68°)", |
| " Cabrobó: (-8.51°, -39.31°)", |
| " Numan: (9.46°, 12.03°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Numan: 6109.2 km from centroid", |
| " Barrancabermeja: 4170.6 km from centroid", |
| " Canguçu: 2806.1 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Numan", |
| "FINAL ANSWER: Numan" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -37.6, |
| "lon": 145.15, |
| "name": "Doreen" |
| }, |
| { |
| "lat": -31.84062, |
| "lon": 115.89549, |
| "name": "Ballajura" |
| }, |
| { |
| "lat": -33.73333, |
| "lon": 151.0, |
| "name": "Castle Hill" |
| }, |
| { |
| "lat": -27.56056, |
| "lon": 151.95386, |
| "name": "Toowoomba" |
| }, |
| { |
| "lat": 28.18779, |
| "lon": -82.73955, |
| "name": "Holiday" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Doreen, Ballajura, Castle Hill, Toowoomba, Holiday?", |
| "ground_truth": { |
| "answer": "Holiday", |
| "outlier_distance_km": 19155.2, |
| "second_furthest_km": 5665.4, |
| "clarity_ratio": 3.38, |
| "median_distance_km": 5548.5, |
| "distances_to_centroid": { |
| "Doreen": 5053.1, |
| "Ballajura": 2324.0, |
| "Castle Hill": 5548.5, |
| "Toowoomba": 5665.4, |
| "Holiday": 19155.2 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Doreen: (-37.60°, 145.15°)", |
| " Ballajura: (-31.84°, 115.90°)", |
| " Castle Hill: (-33.73°, 151.00°)", |
| " Toowoomba: (-27.56°, 151.95°)", |
| " Holiday: (28.19°, -82.74°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Holiday: 19155.2 km from centroid", |
| " Toowoomba: 5665.4 km from centroid", |
| " Castle Hill: 5548.5 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Holiday", |
| "FINAL ANSWER: Holiday" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -8.39889, |
| "lon": -35.06389, |
| "name": "Ipojuca" |
| }, |
| { |
| "lat": -6.05675, |
| "lon": -77.16651, |
| "name": "Rioja" |
| }, |
| { |
| "lat": -9.89667, |
| "lon": -39.02639, |
| "name": "Canudos" |
| }, |
| { |
| "lat": -34.61082, |
| "lon": -58.481, |
| "name": "Villa Santa Rita" |
| }, |
| { |
| "lat": -33.9049, |
| "lon": 151.01996, |
| "name": "Yagoona" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Ipojuca, Rioja, Canudos, Villa Santa Rita, Yagoona?", |
| "ground_truth": { |
| "answer": "Yagoona", |
| "outlier_distance_km": 13900.5, |
| "second_furthest_km": 7206.3, |
| "clarity_ratio": 1.93, |
| "median_distance_km": 4926.8, |
| "distances_to_centroid": { |
| "Ipojuca": 2759.3, |
| "Rioja": 7206.3, |
| "Canudos": 3090.0, |
| "Villa Santa Rita": 4926.8, |
| "Yagoona": 13900.5 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Ipojuca: (-8.40°, -35.06°)", |
| " Rioja: (-6.06°, -77.17°)", |
| " Canudos: (-9.90°, -39.03°)", |
| " Villa Santa Rita: (-34.61°, -58.48°)", |
| " Yagoona: (-33.90°, 151.02°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Yagoona: 13900.5 km from centroid", |
| " Rioja: 7206.3 km from centroid", |
| " Villa Santa Rita: 4926.8 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Yagoona", |
| "FINAL ANSWER: Yagoona" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 19.3727, |
| "lon": -99.1564, |
| "name": "Benito Juárez" |
| }, |
| { |
| "lat": 32.93457, |
| "lon": -97.25168, |
| "name": "Keller" |
| }, |
| { |
| "lat": 33.44734, |
| "lon": -84.14686, |
| "name": "McDonough" |
| }, |
| { |
| "lat": 37.22764, |
| "lon": -80.01282, |
| "name": "Cave Spring" |
| }, |
| { |
| "lat": 32.80589, |
| "lon": 130.69181, |
| "name": "Kumamoto" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Benito Juárez, Keller, McDonough, Cave Spring, Kumamoto?", |
| "ground_truth": { |
| "answer": "Kumamoto", |
| "outlier_distance_km": 12894.0, |
| "second_furthest_km": 5453.9, |
| "clarity_ratio": 2.36, |
| "median_distance_km": 4788.5, |
| "distances_to_centroid": { |
| "Benito Juárez": 5453.9, |
| "Keller": 4788.5, |
| "McDonough": 3576.6, |
| "Cave Spring": 3184.6, |
| "Kumamoto": 12894.0 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Benito Juárez: (19.37°, -99.16°)", |
| " Keller: (32.93°, -97.25°)", |
| " McDonough: (33.45°, -84.15°)", |
| " Cave Spring: (37.23°, -80.01°)", |
| " Kumamoto: (32.81°, 130.69°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Kumamoto: 12894.0 km from centroid", |
| " Benito Juárez: 5453.9 km from centroid", |
| " Keller: 4788.5 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Kumamoto", |
| "FINAL ANSWER: Kumamoto" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -37.73333, |
| "lon": 144.93333, |
| "name": "Pascoe Vale" |
| }, |
| { |
| "lat": -37.65, |
| "lon": 145.03333, |
| "name": "Epping" |
| }, |
| { |
| "lat": -37.83961, |
| "lon": 144.94228, |
| "name": "Port Melbourne" |
| }, |
| { |
| "lat": -37.74124, |
| "lon": 144.73631, |
| "name": "Caroline Springs" |
| }, |
| { |
| "lat": 41.69982, |
| "lon": -72.15702, |
| "name": "Windham" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Pascoe Vale, Epping, Port Melbourne, Caroline Springs, Windham?", |
| "ground_truth": { |
| "answer": "Windham", |
| "outlier_distance_km": 17729.9, |
| "second_furthest_km": 4506.4, |
| "clarity_ratio": 3.93, |
| "median_distance_km": 4502.3, |
| "distances_to_centroid": { |
| "Pascoe Vale": 4499.4, |
| "Epping": 4506.4, |
| "Port Melbourne": 4502.3, |
| "Caroline Springs": 4482.5, |
| "Windham": 17729.9 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Pascoe Vale: (-37.73°, 144.93°)", |
| " Epping: (-37.65°, 145.03°)", |
| " Port Melbourne: (-37.84°, 144.94°)", |
| " Caroline Springs: (-37.74°, 144.74°)", |
| " Windham: (41.70°, -72.16°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Windham: 17729.9 km from centroid", |
| " Epping: 4506.4 km from centroid", |
| " Port Melbourne: 4502.3 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Windham", |
| "FINAL ANSWER: Windham" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -27.342, |
| "lon": 31.58, |
| "name": "Ncotshane" |
| }, |
| { |
| "lat": 31.03408, |
| "lon": 30.46823, |
| "name": "Damanhur" |
| }, |
| { |
| "lat": -25.91849, |
| "lon": 28.19881, |
| "name": "Midstream" |
| }, |
| { |
| "lat": 8.45, |
| "lon": 39.28333, |
| "name": "Wenjī" |
| }, |
| { |
| "lat": 10.88606, |
| "lon": -72.8487, |
| "name": "Fonseca" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Ncotshane, Damanhur, Midstream, Wenjī, Fonseca?", |
| "ground_truth": { |
| "answer": "Fonseca", |
| "outlier_distance_km": 9384.9, |
| "second_furthest_km": 4054.0, |
| "clarity_ratio": 2.31, |
| "median_distance_km": 3677.2, |
| "distances_to_centroid": { |
| "Ncotshane": 3677.2, |
| "Damanhur": 4054.0, |
| "Midstream": 3347.5, |
| "Wenjī": 3255.5, |
| "Fonseca": 9384.9 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Ncotshane: (-27.34°, 31.58°)", |
| " Damanhur: (31.03°, 30.47°)", |
| " Midstream: (-25.92°, 28.20°)", |
| " Wenjī: (8.45°, 39.28°)", |
| " Fonseca: (10.89°, -72.85°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Fonseca: 9384.9 km from centroid", |
| " Damanhur: 4054.0 km from centroid", |
| " Ncotshane: 3677.2 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Fonseca", |
| "FINAL ANSWER: Fonseca" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -7.22436, |
| "lon": -79.42476, |
| "name": "Chepén" |
| }, |
| { |
| "lat": -38.95078, |
| "lon": -68.0592, |
| "name": "Neuquén" |
| }, |
| { |
| "lat": -8.28773, |
| "lon": -35.02925, |
| "name": "Cabo de Santo Agostinho" |
| }, |
| { |
| "lat": -18.08639, |
| "lon": -39.55083, |
| "name": "Mucuri" |
| }, |
| { |
| "lat": -41.28374, |
| "lon": 174.74141, |
| "name": "Karori" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Chepén, Neuquén, Cabo de Santo Agostinho, Mucuri, Karori?", |
| "ground_truth": { |
| "answer": "Karori", |
| "outlier_distance_km": 12879.8, |
| "second_furthest_km": 7646.8, |
| "clarity_ratio": 1.68, |
| "median_distance_km": 5771.7, |
| "distances_to_centroid": { |
| "Chepén": 7646.8, |
| "Neuquén": 5771.7, |
| "Cabo de Santo Agostinho": 3167.8, |
| "Mucuri": 3172.3, |
| "Karori": 12879.8 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Chepén: (-7.22°, -79.42°)", |
| " Neuquén: (-38.95°, -68.06°)", |
| " Cabo de Santo Agostinho: (-8.29°, -35.03°)", |
| " Mucuri: (-18.09°, -39.55°)", |
| " Karori: (-41.28°, 174.74°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Karori: 12879.8 km from centroid", |
| " Chepén: 7646.8 km from centroid", |
| " Neuquén: 5771.7 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Karori", |
| "FINAL ANSWER: Karori" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 35.76884, |
| "lon": -119.24705, |
| "name": "Delano" |
| }, |
| { |
| "lat": 39.4667, |
| "lon": -87.41391, |
| "name": "Terre Haute" |
| }, |
| { |
| "lat": 33.96358, |
| "lon": -117.56418, |
| "name": "Eastvale" |
| }, |
| { |
| "lat": 44.47588, |
| "lon": -73.21207, |
| "name": "Burlington" |
| }, |
| { |
| "lat": 0.46005, |
| "lon": 34.11169, |
| "name": "Busia" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Delano, Terre Haute, Eastvale, Burlington, Busia?", |
| "ground_truth": { |
| "answer": "Busia", |
| "outlier_distance_km": 11576.2, |
| "second_furthest_km": 4323.7, |
| "clarity_ratio": 2.68, |
| "median_distance_km": 4196.6, |
| "distances_to_centroid": { |
| "Delano": 4323.7, |
| "Terre Haute": 1646.0, |
| "Eastvale": 4196.6, |
| "Burlington": 1518.4, |
| "Busia": 11576.2 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Delano: (35.77°, -119.25°)", |
| " Terre Haute: (39.47°, -87.41°)", |
| " Eastvale: (33.96°, -117.56°)", |
| " Burlington: (44.48°, -73.21°)", |
| " Busia: (0.46°, 34.11°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Busia: 11576.2 km from centroid", |
| " Delano: 4323.7 km from centroid", |
| " Eastvale: 4196.6 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Busia", |
| "FINAL ANSWER: Busia" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 12.7875, |
| "lon": 39.54222, |
| "name": "Maych’ew" |
| }, |
| { |
| "lat": 25.90107, |
| "lon": 32.72392, |
| "name": "Naqādah" |
| }, |
| { |
| "lat": 11.73292, |
| "lon": 41.082, |
| "name": "Dubti" |
| }, |
| { |
| "lat": 14.18722, |
| "lon": 39.56389, |
| "name": "Idaga Hamus" |
| }, |
| { |
| "lat": 48.86667, |
| "lon": 2.71667, |
| "name": "Lagny-sur-Marne" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Maych’ew, Naqādah, Dubti, Idaga Hamus, Lagny-sur-Marne?", |
| "ground_truth": { |
| "answer": "Lagny-sur-Marne", |
| "outlier_distance_km": 3833.2, |
| "second_furthest_km": 1612.3, |
| "clarity_ratio": 2.38, |
| "median_distance_km": 1416.2, |
| "distances_to_centroid": { |
| "Maych’ew": 1416.2, |
| "Naqādah": 391.5, |
| "Dubti": 1612.3, |
| "Idaga Hamus": 1298.1, |
| "Lagny-sur-Marne": 3833.2 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Maych’ew: (12.79°, 39.54°)", |
| " Naqādah: (25.90°, 32.72°)", |
| " Dubti: (11.73°, 41.08°)", |
| " Idaga Hamus: (14.19°, 39.56°)", |
| " Lagny-sur-Marne: (48.87°, 2.72°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Lagny-sur-Marne: 3833.2 km from centroid", |
| " Dubti: 1612.3 km from centroid", |
| " Maych’ew: 1416.2 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Lagny-sur-Marne", |
| "FINAL ANSWER: Lagny-sur-Marne" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 50.56002, |
| "lon": 9.71295, |
| "name": "Petersberg" |
| }, |
| { |
| "lat": 53.5, |
| "lon": -1.45, |
| "name": "Hoyland Nether" |
| }, |
| { |
| "lat": 53.44325, |
| "lon": -1.949, |
| "name": "Glossop" |
| }, |
| { |
| "lat": 41.69993, |
| "lon": 2.84565, |
| "name": "Lloret de Mar" |
| }, |
| { |
| "lat": 16.1026, |
| "lon": 80.78074, |
| "name": "Bhattiprolu" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Petersberg, Hoyland Nether, Glossop, Lloret de Mar, Bhattiprolu?", |
| "ground_truth": { |
| "answer": "Bhattiprolu", |
| "outlier_distance_km": 6595.5, |
| "second_furthest_km": 1863.1, |
| "clarity_ratio": 3.54, |
| "median_distance_km": 1837.9, |
| "distances_to_centroid": { |
| "Petersberg": 1043.6, |
| "Hoyland Nether": 1837.9, |
| "Glossop": 1863.1, |
| "Lloret de Mar": 1251.2, |
| "Bhattiprolu": 6595.5 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Petersberg: (50.56°, 9.71°)", |
| " Hoyland Nether: (53.50°, -1.45°)", |
| " Glossop: (53.44°, -1.95°)", |
| " Lloret de Mar: (41.70°, 2.85°)", |
| " Bhattiprolu: (16.10°, 80.78°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Bhattiprolu: 6595.5 km from centroid", |
| " Glossop: 1863.1 km from centroid", |
| " Hoyland Nether: 1837.9 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Bhattiprolu", |
| "FINAL ANSWER: Bhattiprolu" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 43.53635, |
| "lon": 1.34428, |
| "name": "Cugnaux" |
| }, |
| { |
| "lat": 41.64662, |
| "lon": 2.74135, |
| "name": "Malgrat de Mar" |
| }, |
| { |
| "lat": 48.9482, |
| "lon": 2.19169, |
| "name": "Sartrouville" |
| }, |
| { |
| "lat": 48.16783, |
| "lon": 8.62719, |
| "name": "Rottweil" |
| }, |
| { |
| "lat": 31.02795, |
| "lon": 30.71493, |
| "name": "Shubrākhīt" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Cugnaux, Malgrat de Mar, Sartrouville, Rottweil, Shubrākhīt?", |
| "ground_truth": { |
| "answer": "Shubrākhīt", |
| "outlier_distance_km": 2305.6, |
| "second_furthest_km": 880.6, |
| "clarity_ratio": 2.62, |
| "median_distance_km": 638.8, |
| "distances_to_centroid": { |
| "Cugnaux": 638.8, |
| "Malgrat de Mar": 538.0, |
| "Sartrouville": 880.6, |
| "Rottweil": 613.1, |
| "Shubrākhīt": 2305.6 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Cugnaux: (43.54°, 1.34°)", |
| " Malgrat de Mar: (41.65°, 2.74°)", |
| " Sartrouville: (48.95°, 2.19°)", |
| " Rottweil: (48.17°, 8.63°)", |
| " Shubrākhīt: (31.03°, 30.71°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Shubrākhīt: 2305.6 km from centroid", |
| " Sartrouville: 880.6 km from centroid", |
| " Cugnaux: 638.8 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Shubrākhīt", |
| "FINAL ANSWER: Shubrākhīt" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 42.86736, |
| "lon": 130.35689, |
| "name": "Hunchun" |
| }, |
| { |
| "lat": 36.09047, |
| "lon": 140.21047, |
| "name": "Tsuchiura" |
| }, |
| { |
| "lat": 15.88214, |
| "lon": 108.12092, |
| "name": "Đại Lộc" |
| }, |
| { |
| "lat": 23.84306, |
| "lon": 73.71466, |
| "name": "Dūngarpur" |
| }, |
| { |
| "lat": -41.27078, |
| "lon": 173.28404, |
| "name": "Nelson" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Hunchun, Tsuchiura, Đại Lộc, Dūngarpur, Nelson?", |
| "ground_truth": { |
| "answer": "Nelson", |
| "outlier_distance_km": 8018.1, |
| "second_furthest_km": 5435.9, |
| "clarity_ratio": 1.48, |
| "median_distance_km": 3085.4, |
| "distances_to_centroid": { |
| "Hunchun": 3085.4, |
| "Tsuchiura": 2735.7, |
| "Đại Lộc": 1821.8, |
| "Dūngarpur": 5435.9, |
| "Nelson": 8018.1 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Hunchun: (42.87°, 130.36°)", |
| " Tsuchiura: (36.09°, 140.21°)", |
| " Đại Lộc: (15.88°, 108.12°)", |
| " Dūngarpur: (23.84°, 73.71°)", |
| " Nelson: (-41.27°, 173.28°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Nelson: 8018.1 km from centroid", |
| " Dūngarpur: 5435.9 km from centroid", |
| " Hunchun: 3085.4 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Nelson", |
| "FINAL ANSWER: Nelson" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 52.08829, |
| "lon": 16.64866, |
| "name": "Kościan" |
| }, |
| { |
| "lat": 42.54664, |
| "lon": -6.59619, |
| "name": "Ponferrada" |
| }, |
| { |
| "lat": 45.38956, |
| "lon": 4.2886, |
| "name": "Firminy" |
| }, |
| { |
| "lat": 53.45801, |
| "lon": -2.20104, |
| "name": "Longsight" |
| }, |
| { |
| "lat": 29.23552, |
| "lon": 77.01273, |
| "name": "Samālkha" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Kościan, Ponferrada, Firminy, Longsight, Samālkha?", |
| "ground_truth": { |
| "answer": "Samālkha", |
| "outlier_distance_km": 5404.9, |
| "second_furthest_km": 1973.8, |
| "clarity_ratio": 2.74, |
| "median_distance_km": 1756.2, |
| "distances_to_centroid": { |
| "Kościan": 843.4, |
| "Ponferrada": 1973.8, |
| "Firminy": 1068.2, |
| "Longsight": 1756.2, |
| "Samālkha": 5404.9 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Kościan: (52.09°, 16.65°)", |
| " Ponferrada: (42.55°, -6.60°)", |
| " Firminy: (45.39°, 4.29°)", |
| " Longsight: (53.46°, -2.20°)", |
| " Samālkha: (29.24°, 77.01°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Samālkha: 5404.9 km from centroid", |
| " Ponferrada: 1973.8 km from centroid", |
| " Longsight: 1756.2 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Samālkha", |
| "FINAL ANSWER: Samālkha" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -12.77944, |
| "lon": -39.17, |
| "name": "Conceição do Almeida" |
| }, |
| { |
| "lat": -12.31667, |
| "lon": -38.76667, |
| "name": "Conceição do Jacuípe" |
| }, |
| { |
| "lat": -11.80361, |
| "lon": -61.80333, |
| "name": "Rolim de Moura" |
| }, |
| { |
| "lat": -7.09829, |
| "lon": -49.9435, |
| "name": "Xinguara" |
| }, |
| { |
| "lat": 21.55, |
| "lon": 107.96667, |
| "name": "Dongxing" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Conceição do Almeida, Conceição do Jacuípe, Rolim de Moura, Xinguara, Dongxing?", |
| "ground_truth": { |
| "answer": "Dongxing", |
| "outlier_distance_km": 13728.6, |
| "second_furthest_km": 5063.2, |
| "clarity_ratio": 2.71, |
| "median_distance_km": 3727.5, |
| "distances_to_centroid": { |
| "Conceição do Almeida": 2670.8, |
| "Conceição do Jacuípe": 2613.4, |
| "Rolim de Moura": 5063.2, |
| "Xinguara": 3727.5, |
| "Dongxing": 13728.6 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Conceição do Almeida: (-12.78°, -39.17°)", |
| " Conceição do Jacuípe: (-12.32°, -38.77°)", |
| " Rolim de Moura: (-11.80°, -61.80°)", |
| " Xinguara: (-7.10°, -49.94°)", |
| " Dongxing: (21.55°, 107.97°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Dongxing: 13728.6 km from centroid", |
| " Rolim de Moura: 5063.2 km from centroid", |
| " Xinguara: 3727.5 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Dongxing", |
| "FINAL ANSWER: Dongxing" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 19.09917, |
| "lon": -98.25417, |
| "name": "Sanctorum" |
| }, |
| { |
| "lat": 41.71087, |
| "lon": -87.75811, |
| "name": "Oak Lawn" |
| }, |
| { |
| "lat": 26.25175, |
| "lon": -80.17894, |
| "name": "Coconut Creek" |
| }, |
| { |
| "lat": 35.91402, |
| "lon": -81.53898, |
| "name": "Lenoir" |
| }, |
| { |
| "lat": 52.50575, |
| "lon": 13.50812, |
| "name": "Friedrichsfelde" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Sanctorum, Oak Lawn, Coconut Creek, Lenoir, Friedrichsfelde?", |
| "ground_truth": { |
| "answer": "Friedrichsfelde", |
| "outlier_distance_km": 6376.0, |
| "second_furthest_km": 3559.1, |
| "clarity_ratio": 1.79, |
| "median_distance_km": 1958.8, |
| "distances_to_centroid": { |
| "Sanctorum": 3559.1, |
| "Oak Lawn": 1958.8, |
| "Coconut Creek": 1607.8, |
| "Lenoir": 1332.0, |
| "Friedrichsfelde": 6376.0 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Sanctorum: (19.10°, -98.25°)", |
| " Oak Lawn: (41.71°, -87.76°)", |
| " Coconut Creek: (26.25°, -80.18°)", |
| " Lenoir: (35.91°, -81.54°)", |
| " Friedrichsfelde: (52.51°, 13.51°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Friedrichsfelde: 6376.0 km from centroid", |
| " Sanctorum: 3559.1 km from centroid", |
| " Oak Lawn: 1958.8 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Friedrichsfelde", |
| "FINAL ANSWER: Friedrichsfelde" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -2.68333, |
| "lon": -54.64278, |
| "name": "Mojuí dos Campos" |
| }, |
| { |
| "lat": -11.52472, |
| "lon": -61.01278, |
| "name": "Espigão dOeste" |
| }, |
| { |
| "lat": -20.25333, |
| "lon": -43.80139, |
| "name": "Itabirito" |
| }, |
| { |
| "lat": -23.87444, |
| "lon": -53.90167, |
| "name": "Altônia" |
| }, |
| { |
| "lat": -26.31401, |
| "lon": 26.82223, |
| "name": "Ventersdorp" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Mojuí dos Campos, Espigão dOeste, Itabirito, Altônia, Ventersdorp?", |
| "ground_truth": { |
| "answer": "Ventersdorp", |
| "outlier_distance_km": 6647.7, |
| "second_furthest_km": 2622.6, |
| "clarity_ratio": 2.53, |
| "median_distance_km": 2469.1, |
| "distances_to_centroid": { |
| "Mojuí dos Campos": 2469.1, |
| "Espigão dOeste": 2622.6, |
| "Itabirito": 777.7, |
| "Altônia": 1892.0, |
| "Ventersdorp": 6647.7 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Mojuí dos Campos: (-2.68°, -54.64°)", |
| " Espigão dOeste: (-11.52°, -61.01°)", |
| " Itabirito: (-20.25°, -43.80°)", |
| " Altônia: (-23.87°, -53.90°)", |
| " Ventersdorp: (-26.31°, 26.82°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Ventersdorp: 6647.7 km from centroid", |
| " Espigão dOeste: 2622.6 km from centroid", |
| " Mojuí dos Campos: 2469.1 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Ventersdorp", |
| "FINAL ANSWER: Ventersdorp" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -37.87811, |
| "lon": 145.16476, |
| "name": "Glen Waverley" |
| }, |
| { |
| "lat": -26.66008, |
| "lon": 153.09953, |
| "name": "Maroochydore" |
| }, |
| { |
| "lat": -41.28374, |
| "lon": 174.74141, |
| "name": "Karori" |
| }, |
| { |
| "lat": -37.75, |
| "lon": 145.01667, |
| "name": "Preston" |
| }, |
| { |
| "lat": -33.51889, |
| "lon": -53.36806, |
| "name": "Santa Vitória do Palmar" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Glen Waverley, Maroochydore, Karori, Preston, Santa Vitória do Palmar?", |
| "ground_truth": { |
| "answer": "Santa Vitória do Palmar", |
| "outlier_distance_km": 12218.2, |
| "second_furthest_km": 5315.6, |
| "clarity_ratio": 2.3, |
| "median_distance_km": 3920.4, |
| "distances_to_centroid": { |
| "Glen Waverley": 2874.4, |
| "Maroochydore": 3920.4, |
| "Karori": 5315.6, |
| "Preston": 2862.6, |
| "Santa Vitória do Palmar": 12218.2 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Glen Waverley: (-37.88°, 145.16°)", |
| " Maroochydore: (-26.66°, 153.10°)", |
| " Karori: (-41.28°, 174.74°)", |
| " Preston: (-37.75°, 145.02°)", |
| " Santa Vitória do Palmar: (-33.52°, -53.37°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Santa Vitória do Palmar: 12218.2 km from centroid", |
| " Karori: 5315.6 km from centroid", |
| " Maroochydore: 3920.4 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Santa Vitória do Palmar", |
| "FINAL ANSWER: Santa Vitória do Palmar" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -28.07071, |
| "lon": 153.39329, |
| "name": "Robina" |
| }, |
| { |
| "lat": -33.79176, |
| "lon": 151.08057, |
| "name": "Eastwood" |
| }, |
| { |
| "lat": -35.13333, |
| "lon": 138.51667, |
| "name": "Morphett Vale" |
| }, |
| { |
| "lat": -32.27682, |
| "lon": 115.72978, |
| "name": "Rockingham" |
| }, |
| { |
| "lat": 50.39138, |
| "lon": 116.53355, |
| "name": "Borzya" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Robina, Eastwood, Morphett Vale, Rockingham, Borzya?", |
| "ground_truth": { |
| "answer": "Borzya", |
| "outlier_distance_km": 7577.1, |
| "second_furthest_km": 2677.3, |
| "clarity_ratio": 2.83, |
| "median_distance_km": 2567.7, |
| "distances_to_centroid": { |
| "Robina": 2329.0, |
| "Eastwood": 2567.7, |
| "Morphett Vale": 2179.9, |
| "Rockingham": 2677.3, |
| "Borzya": 7577.1 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Robina: (-28.07°, 153.39°)", |
| " Eastwood: (-33.79°, 151.08°)", |
| " Morphett Vale: (-35.13°, 138.52°)", |
| " Rockingham: (-32.28°, 115.73°)", |
| " Borzya: (50.39°, 116.53°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Borzya: 7577.1 km from centroid", |
| " Rockingham: 2677.3 km from centroid", |
| " Eastwood: 2567.7 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Borzya", |
| "FINAL ANSWER: Borzya" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 8.13333, |
| "lon": 39.23333, |
| "name": "Īteya" |
| }, |
| { |
| "lat": -25.43321, |
| "lon": 31.95478, |
| "name": "Komatipoort" |
| }, |
| { |
| "lat": 10.55, |
| "lon": 37.48333, |
| "name": "Dembech’a" |
| }, |
| { |
| "lat": -1.4275, |
| "lon": 36.6865, |
| "name": "Kiserian" |
| }, |
| { |
| "lat": -3.12873, |
| "lon": -58.15501, |
| "name": "Urucurituba" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Īteya, Komatipoort, Dembech’a, Kiserian, Urucurituba?", |
| "ground_truth": { |
| "answer": "Urucurituba", |
| "outlier_distance_km": 8395.4, |
| "second_furthest_km": 3009.0, |
| "clarity_ratio": 2.79, |
| "median_distance_km": 2678.8, |
| "distances_to_centroid": { |
| "Īteya": 2678.8, |
| "Komatipoort": 3009.0, |
| "Dembech’a": 2636.1, |
| "Kiserian": 2140.9, |
| "Urucurituba": 8395.4 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Īteya: (8.13°, 39.23°)", |
| " Komatipoort: (-25.43°, 31.95°)", |
| " Dembech’a: (10.55°, 37.48°)", |
| " Kiserian: (-1.43°, 36.69°)", |
| " Urucurituba: (-3.13°, -58.16°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Urucurituba: 8395.4 km from centroid", |
| " Komatipoort: 3009.0 km from centroid", |
| " Īteya: 2678.8 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Urucurituba", |
| "FINAL ANSWER: Urucurituba" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 35.14621, |
| "lon": 140.31507, |
| "name": "Katsuura" |
| }, |
| { |
| "lat": 13.68333, |
| "lon": 79.35, |
| "name": "Tirumala" |
| }, |
| { |
| "lat": 16.78854, |
| "lon": 80.84593, |
| "name": "Nūzvīd" |
| }, |
| { |
| "lat": 38.15389, |
| "lon": 140.27361, |
| "name": "Kaminoyama" |
| }, |
| { |
| "lat": -25.43998, |
| "lon": -54.40161, |
| "name": "Santa Terezinha de Itaipu" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Katsuura, Tirumala, Nūzvīd, Kaminoyama, Santa Terezinha de Itaipu?", |
| "ground_truth": { |
| "answer": "Santa Terezinha de Itaipu", |
| "outlier_distance_km": 14895.7, |
| "second_furthest_km": 6593.5, |
| "clarity_ratio": 2.26, |
| "median_distance_km": 6580.0, |
| "distances_to_centroid": { |
| "Katsuura": 6580.0, |
| "Tirumala": 313.6, |
| "Nūzvīd": 401.0, |
| "Kaminoyama": 6593.5, |
| "Santa Terezinha de Itaipu": 14895.7 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Katsuura: (35.15°, 140.32°)", |
| " Tirumala: (13.68°, 79.35°)", |
| " Nūzvīd: (16.79°, 80.85°)", |
| " Kaminoyama: (38.15°, 140.27°)", |
| " Santa Terezinha de Itaipu: (-25.44°, -54.40°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Santa Terezinha de Itaipu: 14895.7 km from centroid", |
| " Kaminoyama: 6593.5 km from centroid", |
| " Katsuura: 6580.0 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Santa Terezinha de Itaipu", |
| "FINAL ANSWER: Santa Terezinha de Itaipu" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 48.39841, |
| "lon": 9.99155, |
| "name": "Ulm" |
| }, |
| { |
| "lat": 52.774, |
| "lon": -1.55744, |
| "name": "Swadlincote" |
| }, |
| { |
| "lat": 44.1391, |
| "lon": 12.24315, |
| "name": "Cesena" |
| }, |
| { |
| "lat": 52.85435, |
| "lon": 11.1525, |
| "name": "Salzwedel" |
| }, |
| { |
| "lat": -25.509, |
| "lon": 28.064, |
| "name": "Mabopane" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Ulm, Swadlincote, Cesena, Salzwedel, Mabopane?", |
| "ground_truth": { |
| "answer": "Mabopane", |
| "outlier_distance_km": 6888.2, |
| "second_furthest_km": 2293.6, |
| "clarity_ratio": 3.0, |
| "median_distance_km": 2038.5, |
| "distances_to_centroid": { |
| "Ulm": 1550.7, |
| "Swadlincote": 2293.6, |
| "Cesena": 1068.6, |
| "Salzwedel": 2038.5, |
| "Mabopane": 6888.2 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Ulm: (48.40°, 9.99°)", |
| " Swadlincote: (52.77°, -1.56°)", |
| " Cesena: (44.14°, 12.24°)", |
| " Salzwedel: (52.85°, 11.15°)", |
| " Mabopane: (-25.51°, 28.06°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Mabopane: 6888.2 km from centroid", |
| " Swadlincote: 2293.6 km from centroid", |
| " Salzwedel: 2038.5 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Mabopane", |
| "FINAL ANSWER: Mabopane" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -19.61917, |
| "lon": -43.22694, |
| "name": "Itabira" |
| }, |
| { |
| "lat": -22.50917, |
| "lon": -48.55778, |
| "name": "Igaraçu do Tietê" |
| }, |
| { |
| "lat": -31.6515, |
| "lon": -68.28216, |
| "name": "Caucete" |
| }, |
| { |
| "lat": 4.9218, |
| "lon": -75.06232, |
| "name": "Líbano" |
| }, |
| { |
| "lat": -2.0561, |
| "lon": 101.3913, |
| "name": "Sungai Penuh" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Itabira, Igaraçu do Tietê, Caucete, Líbano, Sungai Penuh?", |
| "ground_truth": { |
| "answer": "Sungai Penuh", |
| "outlier_distance_km": 14024.6, |
| "second_furthest_km": 5735.9, |
| "clarity_ratio": 2.45, |
| "median_distance_km": 4639.5, |
| "distances_to_centroid": { |
| "Itabira": 1853.3, |
| "Igaraçu do Tietê": 2477.3, |
| "Caucete": 4639.5, |
| "Líbano": 5735.9, |
| "Sungai Penuh": 14024.6 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Itabira: (-19.62°, -43.23°)", |
| " Igaraçu do Tietê: (-22.51°, -48.56°)", |
| " Caucete: (-31.65°, -68.28°)", |
| " Líbano: (4.92°, -75.06°)", |
| " Sungai Penuh: (-2.06°, 101.39°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Sungai Penuh: 14024.6 km from centroid", |
| " Líbano: 5735.9 km from centroid", |
| " Caucete: 4639.5 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Sungai Penuh", |
| "FINAL ANSWER: Sungai Penuh" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 18.60157, |
| "lon": -98.46152, |
| "name": "Izúcar de Matamoros" |
| }, |
| { |
| "lat": 47.03426, |
| "lon": -122.82319, |
| "name": "Lacey" |
| }, |
| { |
| "lat": 23.1749, |
| "lon": -102.86785, |
| "name": "Fresnillo" |
| }, |
| { |
| "lat": 49.23839, |
| "lon": -122.86676, |
| "name": "Maillardville" |
| }, |
| { |
| "lat": -13.53806, |
| "lon": -39.09861, |
| "name": "Taperoá" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Izúcar de Matamoros, Lacey, Fresnillo, Maillardville, Taperoá?", |
| "ground_truth": { |
| "answer": "Taperoá", |
| "outlier_distance_km": 7612.8, |
| "second_furthest_km": 3500.5, |
| "clarity_ratio": 2.17, |
| "median_distance_km": 3340.8, |
| "distances_to_centroid": { |
| "Izúcar de Matamoros": 712.2, |
| "Lacey": 3340.8, |
| "Fresnillo": 604.4, |
| "Maillardville": 3500.5, |
| "Taperoá": 7612.8 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Izúcar de Matamoros: (18.60°, -98.46°)", |
| " Lacey: (47.03°, -122.82°)", |
| " Fresnillo: (23.17°, -102.87°)", |
| " Maillardville: (49.24°, -122.87°)", |
| " Taperoá: (-13.54°, -39.10°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Taperoá: 7612.8 km from centroid", |
| " Maillardville: 3500.5 km from centroid", |
| " Lacey: 3340.8 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Taperoá", |
| "FINAL ANSWER: Taperoá" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 19.34564, |
| "lon": -98.86034, |
| "name": "San Francisco Acuautla" |
| }, |
| { |
| "lat": 41.88142, |
| "lon": -87.88312, |
| "name": "Bellwood" |
| }, |
| { |
| "lat": 41.60232, |
| "lon": -72.98677, |
| "name": "Wolcott" |
| }, |
| { |
| "lat": 33.976, |
| "lon": -118.06909, |
| "name": "West Whittier-Los Nietos" |
| }, |
| { |
| "lat": -26.81358, |
| "lon": 27.81695, |
| "name": "Sasolburg" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: San Francisco Acuautla, Bellwood, Wolcott, West Whittier-Los Nietos, Sasolburg?", |
| "ground_truth": { |
| "answer": "Sasolburg", |
| "outlier_distance_km": 11825.3, |
| "second_furthest_km": 4858.0, |
| "clarity_ratio": 2.43, |
| "median_distance_km": 3012.9, |
| "distances_to_centroid": { |
| "San Francisco Acuautla": 3012.9, |
| "Bellwood": 2769.1, |
| "Wolcott": 2197.7, |
| "West Whittier-Los Nietos": 4858.0, |
| "Sasolburg": 11825.3 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " San Francisco Acuautla: (19.35°, -98.86°)", |
| " Bellwood: (41.88°, -87.88°)", |
| " Wolcott: (41.60°, -72.99°)", |
| " West Whittier-Los Nietos: (33.98°, -118.07°)", |
| " Sasolburg: (-26.81°, 27.82°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Sasolburg: 11825.3 km from centroid", |
| " West Whittier-Los Nietos: 4858.0 km from centroid", |
| " San Francisco Acuautla: 3012.9 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Sasolburg", |
| "FINAL ANSWER: Sasolburg" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 33.73475, |
| "lon": 105.38817, |
| "name": "Xigaoshan" |
| }, |
| { |
| "lat": 15.3275, |
| "lon": 120.9192, |
| "name": "Jaen" |
| }, |
| { |
| "lat": 23.53878, |
| "lon": 86.6735, |
| "name": "Raghunathpur" |
| }, |
| { |
| "lat": 28.19874, |
| "lon": 112.97087, |
| "name": "Changsha" |
| }, |
| { |
| "lat": -16.02511, |
| "lon": -48.07121, |
| "name": "Gama" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Xigaoshan, Jaen, Raghunathpur, Changsha, Gama?", |
| "ground_truth": { |
| "answer": "Gama", |
| "outlier_distance_km": 14027.3, |
| "second_furthest_km": 4836.0, |
| "clarity_ratio": 2.9, |
| "median_distance_km": 4019.0, |
| "distances_to_centroid": { |
| "Xigaoshan": 3508.6, |
| "Jaen": 4836.0, |
| "Raghunathpur": 1368.8, |
| "Changsha": 4019.0, |
| "Gama": 14027.3 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Xigaoshan: (33.73°, 105.39°)", |
| " Jaen: (15.33°, 120.92°)", |
| " Raghunathpur: (23.54°, 86.67°)", |
| " Changsha: (28.20°, 112.97°)", |
| " Gama: (-16.03°, -48.07°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Gama: 14027.3 km from centroid", |
| " Jaen: 4836.0 km from centroid", |
| " Changsha: 4019.0 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Gama", |
| "FINAL ANSWER: Gama" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 7.26667, |
| "lon": 9.98333, |
| "name": "Takum" |
| }, |
| { |
| "lat": 9.03528, |
| "lon": 38.66083, |
| "name": "Burayu" |
| }, |
| { |
| "lat": -3.63045, |
| "lon": 39.84992, |
| "name": "Kilifi" |
| }, |
| { |
| "lat": 5.96667, |
| "lon": 41.03333, |
| "name": "Ara Ali" |
| }, |
| { |
| "lat": 49.45421, |
| "lon": 11.07752, |
| "name": "Nürnberg" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Takum, Burayu, Kilifi, Ara Ali, Nürnberg?", |
| "ground_truth": { |
| "answer": "Nürnberg", |
| "outlier_distance_km": 4277.5, |
| "second_furthest_km": 2313.8, |
| "clarity_ratio": 1.85, |
| "median_distance_km": 2104.1, |
| "distances_to_centroid": { |
| "Takum": 2104.1, |
| "Burayu": 1256.7, |
| "Kilifi": 2313.8, |
| "Ara Ali": 1649.9, |
| "Nürnberg": 4277.5 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Takum: (7.27°, 9.98°)", |
| " Burayu: (9.04°, 38.66°)", |
| " Kilifi: (-3.63°, 39.85°)", |
| " Ara Ali: (5.97°, 41.03°)", |
| " Nürnberg: (49.45°, 11.08°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Nürnberg: 4277.5 km from centroid", |
| " Kilifi: 2313.8 km from centroid", |
| " Takum: 2104.1 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Nürnberg", |
| "FINAL ANSWER: Nürnberg" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -37.99116, |
| "lon": 145.17385, |
| "name": "Keysborough" |
| }, |
| { |
| "lat": -32.23013, |
| "lon": 115.78128, |
| "name": "Kwinana" |
| }, |
| { |
| "lat": -38.13333, |
| "lon": 145.13333, |
| "name": "Frankston East" |
| }, |
| { |
| "lat": -35.28346, |
| "lon": 149.12807, |
| "name": "Canberra" |
| }, |
| { |
| "lat": 55.93924, |
| "lon": 92.37513, |
| "name": "Divnogorsk" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Keysborough, Kwinana, Frankston East, Canberra, Divnogorsk?", |
| "ground_truth": { |
| "answer": "Divnogorsk", |
| "outlier_distance_km": 8880.2, |
| "second_furthest_km": 2765.1, |
| "clarity_ratio": 3.21, |
| "median_distance_km": 2747.9, |
| "distances_to_centroid": { |
| "Keysborough": 2737.6, |
| "Kwinana": 2137.6, |
| "Frankston East": 2747.9, |
| "Canberra": 2765.1, |
| "Divnogorsk": 8880.2 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Keysborough: (-37.99°, 145.17°)", |
| " Kwinana: (-32.23°, 115.78°)", |
| " Frankston East: (-38.13°, 145.13°)", |
| " Canberra: (-35.28°, 149.13°)", |
| " Divnogorsk: (55.94°, 92.38°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Divnogorsk: 8880.2 km from centroid", |
| " Canberra: 2765.1 km from centroid", |
| " Frankston East: 2747.9 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Divnogorsk", |
| "FINAL ANSWER: Divnogorsk" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 38.26667, |
| "lon": 140.86667, |
| "name": "Sendai" |
| }, |
| { |
| "lat": 44.08436, |
| "lon": 131.11841, |
| "name": "Dongning" |
| }, |
| { |
| "lat": 29.56227, |
| "lon": 103.76386, |
| "name": "Leshan" |
| }, |
| { |
| "lat": 33.71706, |
| "lon": 130.64117, |
| "name": "Miyawaka" |
| }, |
| { |
| "lat": -32.035, |
| "lon": -52.09861, |
| "name": "Rio Grande" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Sendai, Dongning, Leshan, Miyawaka, Rio Grande?", |
| "ground_truth": { |
| "answer": "Rio Grande", |
| "outlier_distance_km": 16234.0, |
| "second_furthest_km": 5026.1, |
| "clarity_ratio": 3.23, |
| "median_distance_km": 4365.1, |
| "distances_to_centroid": { |
| "Sendai": 5026.1, |
| "Dongning": 4365.1, |
| "Leshan": 1494.6, |
| "Miyawaka": 4057.1, |
| "Rio Grande": 16234.0 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Sendai: (38.27°, 140.87°)", |
| " Dongning: (44.08°, 131.12°)", |
| " Leshan: (29.56°, 103.76°)", |
| " Miyawaka: (33.72°, 130.64°)", |
| " Rio Grande: (-32.03°, -52.10°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Rio Grande: 16234.0 km from centroid", |
| " Sendai: 5026.1 km from centroid", |
| " Dongning: 4365.1 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Rio Grande", |
| "FINAL ANSWER: Rio Grande" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -19.26639, |
| "lon": 146.80569, |
| "name": "Townsville" |
| }, |
| { |
| "lat": -32.05799, |
| "lon": 115.91814, |
| "name": "Canning Vale" |
| }, |
| { |
| "lat": -33.91972, |
| "lon": 151.07592, |
| "name": "Lakemba" |
| }, |
| { |
| "lat": -38.68333, |
| "lon": 176.08333, |
| "name": "Taupo" |
| }, |
| { |
| "lat": -3.45361, |
| "lon": -44.78, |
| "name": "Arari" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Townsville, Canning Vale, Lakemba, Taupo, Arari?", |
| "ground_truth": { |
| "answer": "Arari", |
| "outlier_distance_km": 15734.3, |
| "second_furthest_km": 6346.9, |
| "clarity_ratio": 2.48, |
| "median_distance_km": 4139.3, |
| "distances_to_centroid": { |
| "Townsville": 3932.9, |
| "Canning Vale": 993.3, |
| "Lakemba": 4139.3, |
| "Taupo": 6346.9, |
| "Arari": 15734.3 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Townsville: (-19.27°, 146.81°)", |
| " Canning Vale: (-32.06°, 115.92°)", |
| " Lakemba: (-33.92°, 151.08°)", |
| " Taupo: (-38.68°, 176.08°)", |
| " Arari: (-3.45°, -44.78°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Arari: 15734.3 km from centroid", |
| " Taupo: 6346.9 km from centroid", |
| " Lakemba: 4139.3 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Arari", |
| "FINAL ANSWER: Arari" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 19.29306, |
| "lon": -98.84167, |
| "name": "San Jerónimo Cuatro Vientos" |
| }, |
| { |
| "lat": 36.10803, |
| "lon": -115.245, |
| "name": "Spring Valley" |
| }, |
| { |
| "lat": 41.34559, |
| "lon": -88.84258, |
| "name": "Ottawa" |
| }, |
| { |
| "lat": 41.7942, |
| "lon": -87.59394, |
| "name": "Hyde Park" |
| }, |
| { |
| "lat": -37.66667, |
| "lon": 145.06667, |
| "name": "Mill Park" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: San Jerónimo Cuatro Vientos, Spring Valley, Ottawa, Hyde Park, Mill Park?", |
| "ground_truth": { |
| "answer": "Mill Park", |
| "outlier_distance_km": 17637.9, |
| "second_furthest_km": 6599.1, |
| "clarity_ratio": 2.67, |
| "median_distance_km": 5188.0, |
| "distances_to_centroid": { |
| "San Jerónimo Cuatro Vientos": 5188.0, |
| "Spring Valley": 6599.1, |
| "Ottawa": 4412.4, |
| "Hyde Park": 4333.0, |
| "Mill Park": 17637.9 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " San Jerónimo Cuatro Vientos: (19.29°, -98.84°)", |
| " Spring Valley: (36.11°, -115.25°)", |
| " Ottawa: (41.35°, -88.84°)", |
| " Hyde Park: (41.79°, -87.59°)", |
| " Mill Park: (-37.67°, 145.07°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Mill Park: 17637.9 km from centroid", |
| " Spring Valley: 6599.1 km from centroid", |
| " San Jerónimo Cuatro Vientos: 5188.0 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Mill Park", |
| "FINAL ANSWER: Mill Park" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -37.69825, |
| "lon": 145.05967, |
| "name": "Bundoora" |
| }, |
| { |
| "lat": -31.9652, |
| "lon": 141.4512, |
| "name": "Broken Hill" |
| }, |
| { |
| "lat": -27.56056, |
| "lon": 151.95386, |
| "name": "Toowoomba" |
| }, |
| { |
| "lat": -37.96944, |
| "lon": 145.04806, |
| "name": "Cheltenham" |
| }, |
| { |
| "lat": 41.38022, |
| "lon": 2.17319, |
| "name": "Ciutat Vella" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Bundoora, Broken Hill, Toowoomba, Cheltenham, Ciutat Vella?", |
| "ground_truth": { |
| "answer": "Ciutat Vella", |
| "outlier_distance_km": 13435.6, |
| "second_furthest_km": 3677.7, |
| "clarity_ratio": 3.65, |
| "median_distance_km": 3442.8, |
| "distances_to_centroid": { |
| "Bundoora": 3428.5, |
| "Broken Hill": 2839.4, |
| "Toowoomba": 3677.7, |
| "Cheltenham": 3442.8, |
| "Ciutat Vella": 13435.6 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Bundoora: (-37.70°, 145.06°)", |
| " Broken Hill: (-31.97°, 141.45°)", |
| " Toowoomba: (-27.56°, 151.95°)", |
| " Cheltenham: (-37.97°, 145.05°)", |
| " Ciutat Vella: (41.38°, 2.17°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Ciutat Vella: 13435.6 km from centroid", |
| " Toowoomba: 3677.7 km from centroid", |
| " Cheltenham: 3442.8 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Ciutat Vella", |
| "FINAL ANSWER: Ciutat Vella" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -37.96944, |
| "lon": 145.04806, |
| "name": "Cheltenham" |
| }, |
| { |
| "lat": -37.69863, |
| "lon": 144.78631, |
| "name": "Taylors Lakes" |
| }, |
| { |
| "lat": -27.56056, |
| "lon": 151.95386, |
| "name": "Toowoomba" |
| }, |
| { |
| "lat": -37.86667, |
| "lon": 145.28333, |
| "name": "Boronia" |
| }, |
| { |
| "lat": -24.24423, |
| "lon": -49.70932, |
| "name": "Jaguariaíva" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Cheltenham, Taylors Lakes, Toowoomba, Boronia, Jaguariaíva?", |
| "ground_truth": { |
| "answer": "Jaguariaíva", |
| "outlier_distance_km": 13199.1, |
| "second_furthest_km": 4281.9, |
| "clarity_ratio": 3.08, |
| "median_distance_km": 3441.8, |
| "distances_to_centroid": { |
| "Cheltenham": 3420.7, |
| "Taylors Lakes": 3399.1, |
| "Toowoomba": 4281.9, |
| "Boronia": 3441.8, |
| "Jaguariaíva": 13199.1 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Cheltenham: (-37.97°, 145.05°)", |
| " Taylors Lakes: (-37.70°, 144.79°)", |
| " Toowoomba: (-27.56°, 151.95°)", |
| " Boronia: (-37.87°, 145.28°)", |
| " Jaguariaíva: (-24.24°, -49.71°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Jaguariaíva: 13199.1 km from centroid", |
| " Toowoomba: 4281.9 km from centroid", |
| " Boronia: 3441.8 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Jaguariaíva", |
| "FINAL ANSWER: Jaguariaíva" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 10.46538, |
| "lon": -73.2531, |
| "name": "Valledupar" |
| }, |
| { |
| "lat": -23.43861, |
| "lon": -47.06139, |
| "name": "Araçariguama" |
| }, |
| { |
| "lat": -15.80976, |
| "lon": -47.97202, |
| "name": "Guará" |
| }, |
| { |
| "lat": -30.18111, |
| "lon": -50.20556, |
| "name": "Cidreira" |
| }, |
| { |
| "lat": 28.73548, |
| "lon": 77.03522, |
| "name": "Karāla" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Valledupar, Araçariguama, Guará, Cidreira, Karāla?", |
| "ground_truth": { |
| "answer": "Karāla", |
| "outlier_distance_km": 11823.0, |
| "second_furthest_km": 5305.8, |
| "clarity_ratio": 2.23, |
| "median_distance_km": 3529.0, |
| "distances_to_centroid": { |
| "Valledupar": 5305.8, |
| "Araçariguama": 2788.2, |
| "Guará": 2404.5, |
| "Cidreira": 3529.0, |
| "Karāla": 11823.0 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Valledupar: (10.47°, -73.25°)", |
| " Araçariguama: (-23.44°, -47.06°)", |
| " Guará: (-15.81°, -47.97°)", |
| " Cidreira: (-30.18°, -50.21°)", |
| " Karāla: (28.74°, 77.04°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Karāla: 11823.0 km from centroid", |
| " Valledupar: 5305.8 km from centroid", |
| " Cidreira: 3529.0 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Karāla", |
| "FINAL ANSWER: Karāla" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -33.9205, |
| "lon": 151.25522, |
| "name": "Coogee" |
| }, |
| { |
| "lat": -37.92845, |
| "lon": 145.17708, |
| "name": "Mulgrave" |
| }, |
| { |
| "lat": -37.8329, |
| "lon": 145.0367, |
| "name": "Hawthorn South" |
| }, |
| { |
| "lat": -38.11342, |
| "lon": 145.28326, |
| "name": "Cranbourne" |
| }, |
| { |
| "lat": 51.93333, |
| "lon": 7.35, |
| "name": "Nottuln" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Coogee, Mulgrave, Hawthorn South, Cranbourne, Nottuln?", |
| "ground_truth": { |
| "answer": "Nottuln", |
| "outlier_distance_km": 13137.2, |
| "second_furthest_km": 3597.3, |
| "clarity_ratio": 3.65, |
| "median_distance_km": 3310.7, |
| "distances_to_centroid": { |
| "Coogee": 3597.3, |
| "Mulgrave": 3292.0, |
| "Hawthorn South": 3275.9, |
| "Cranbourne": 3310.7, |
| "Nottuln": 13137.2 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Coogee: (-33.92°, 151.26°)", |
| " Mulgrave: (-37.93°, 145.18°)", |
| " Hawthorn South: (-37.83°, 145.04°)", |
| " Cranbourne: (-38.11°, 145.28°)", |
| " Nottuln: (51.93°, 7.35°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Nottuln: 13137.2 km from centroid", |
| " Coogee: 3597.3 km from centroid", |
| " Cranbourne: 3310.7 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Nottuln", |
| "FINAL ANSWER: Nottuln" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -36.86472, |
| "lon": 174.64768, |
| "name": "Te Atatu South" |
| }, |
| { |
| "lat": -41.13827, |
| "lon": 175.0502, |
| "name": "Upper Hutt" |
| }, |
| { |
| "lat": -34.06564, |
| "lon": 151.01266, |
| "name": "Engadine" |
| }, |
| { |
| "lat": -37.82289, |
| "lon": 147.61041, |
| "name": "Bairnsdale" |
| }, |
| { |
| "lat": -21.90389, |
| "lon": -47.61944, |
| "name": "Descalvado" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Te Atatu South, Upper Hutt, Engadine, Bairnsdale, Descalvado?", |
| "ground_truth": { |
| "answer": "Descalvado", |
| "outlier_distance_km": 13626.4, |
| "second_furthest_km": 4867.7, |
| "clarity_ratio": 2.8, |
| "median_distance_km": 4806.2, |
| "distances_to_centroid": { |
| "Te Atatu South": 4867.7, |
| "Upper Hutt": 4806.2, |
| "Engadine": 2827.9, |
| "Bairnsdale": 2489.0, |
| "Descalvado": 13626.4 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Te Atatu South: (-36.86°, 174.65°)", |
| " Upper Hutt: (-41.14°, 175.05°)", |
| " Engadine: (-34.07°, 151.01°)", |
| " Bairnsdale: (-37.82°, 147.61°)", |
| " Descalvado: (-21.90°, -47.62°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Descalvado: 13626.4 km from centroid", |
| " Te Atatu South: 4867.7 km from centroid", |
| " Upper Hutt: 4806.2 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Descalvado", |
| "FINAL ANSWER: Descalvado" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -24.72459, |
| "lon": 31.19939, |
| "name": "Thulamahashi" |
| }, |
| { |
| "lat": 7.01667, |
| "lon": 39.98333, |
| "name": "Goba" |
| }, |
| { |
| "lat": 3.93726, |
| "lon": 41.85688, |
| "name": "Mandera" |
| }, |
| { |
| "lat": 9.40079, |
| "lon": -0.8393, |
| "name": "Tamale" |
| }, |
| { |
| "lat": 19.34361, |
| "lon": -98.97472, |
| "name": "Emiliano Zapata" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Thulamahashi, Goba, Mandera, Tamale, Emiliano Zapata?", |
| "ground_truth": { |
| "answer": "Emiliano Zapata", |
| "outlier_distance_km": 11112.0, |
| "second_furthest_km": 4359.3, |
| "clarity_ratio": 2.55, |
| "median_distance_km": 4353.1, |
| "distances_to_centroid": { |
| "Thulamahashi": 4359.3, |
| "Goba": 4158.6, |
| "Mandera": 4353.1, |
| "Tamale": 809.7, |
| "Emiliano Zapata": 11112.0 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Thulamahashi: (-24.72°, 31.20°)", |
| " Goba: (7.02°, 39.98°)", |
| " Mandera: (3.94°, 41.86°)", |
| " Tamale: (9.40°, -0.84°)", |
| " Emiliano Zapata: (19.34°, -98.97°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Emiliano Zapata: 11112.0 km from centroid", |
| " Thulamahashi: 4359.3 km from centroid", |
| " Mandera: 4353.1 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Emiliano Zapata", |
| "FINAL ANSWER: Emiliano Zapata" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 48.5842, |
| "lon": 45.7338, |
| "name": "Znamensk" |
| }, |
| { |
| "lat": 44.8546, |
| "lon": 38.3031, |
| "name": "Akhtyrskiy" |
| }, |
| { |
| "lat": 50.53439, |
| "lon": 36.68462, |
| "name": "Razumnoye" |
| }, |
| { |
| "lat": 48.75568, |
| "lon": 2.32241, |
| "name": "Fresnes" |
| }, |
| { |
| "lat": 20.14085, |
| "lon": -101.18251, |
| "name": "Uriangato" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Znamensk, Akhtyrskiy, Razumnoye, Fresnes, Uriangato?", |
| "ground_truth": { |
| "answer": "Uriangato", |
| "outlier_distance_km": 9704.5, |
| "second_furthest_km": 3246.0, |
| "clarity_ratio": 2.99, |
| "median_distance_km": 2718.9, |
| "distances_to_centroid": { |
| "Znamensk": 3246.0, |
| "Akhtyrskiy": 2718.9, |
| "Razumnoye": 2599.9, |
| "Fresnes": 705.5, |
| "Uriangato": 9704.5 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Znamensk: (48.58°, 45.73°)", |
| " Akhtyrskiy: (44.85°, 38.30°)", |
| " Razumnoye: (50.53°, 36.68°)", |
| " Fresnes: (48.76°, 2.32°)", |
| " Uriangato: (20.14°, -101.18°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Uriangato: 9704.5 km from centroid", |
| " Znamensk: 3246.0 km from centroid", |
| " Akhtyrskiy: 2718.9 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Uriangato", |
| "FINAL ANSWER: Uriangato" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -26.48417, |
| "lon": -51.99056, |
| "name": "Palmas" |
| }, |
| { |
| "lat": -6.60667, |
| "lon": -39.06222, |
| "name": "Cedro" |
| }, |
| { |
| "lat": -13.54232, |
| "lon": -43.57968, |
| "name": "Serra do Ramalho" |
| }, |
| { |
| "lat": -27.77333, |
| "lon": -54.24, |
| "name": "Três de Maio" |
| }, |
| { |
| "lat": 2.3829, |
| "lon": 102.3311, |
| "name": "Kampung Machap Baru" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Palmas, Cedro, Serra do Ramalho, Três de Maio, Kampung Machap Baru?", |
| "ground_truth": { |
| "answer": "Kampung Machap Baru", |
| "outlier_distance_km": 13262.2, |
| "second_furthest_km": 4089.6, |
| "clarity_ratio": 3.24, |
| "median_distance_km": 3839.6, |
| "distances_to_centroid": { |
| "Palmas": 3839.6, |
| "Cedro": 2529.2, |
| "Serra do Ramalho": 2834.9, |
| "Três de Maio": 4089.6, |
| "Kampung Machap Baru": 13262.2 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Palmas: (-26.48°, -51.99°)", |
| " Cedro: (-6.61°, -39.06°)", |
| " Serra do Ramalho: (-13.54°, -43.58°)", |
| " Três de Maio: (-27.77°, -54.24°)", |
| " Kampung Machap Baru: (2.38°, 102.33°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Kampung Machap Baru: 13262.2 km from centroid", |
| " Três de Maio: 4089.6 km from centroid", |
| " Palmas: 3839.6 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Kampung Machap Baru", |
| "FINAL ANSWER: Kampung Machap Baru" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 34.8045, |
| "lon": 135.76681, |
| "name": "Kyōtanabe" |
| }, |
| { |
| "lat": 22.89396, |
| "lon": 88.41521, |
| "name": "Naihāti" |
| }, |
| { |
| "lat": 14.00774, |
| "lon": 77.60846, |
| "name": "Somandepalle" |
| }, |
| { |
| "lat": 10.1664, |
| "lon": 76.20179, |
| "name": "Vadakakarai" |
| }, |
| { |
| "lat": -37.90232, |
| "lon": 145.01734, |
| "name": "Brighton East" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Kyōtanabe, Naihāti, Somandepalle, Vadakakarai, Brighton East?", |
| "ground_truth": { |
| "answer": "Brighton East", |
| "outlier_distance_km": 6673.3, |
| "second_furthest_km": 4291.2, |
| "clarity_ratio": 1.56, |
| "median_distance_km": 3117.6, |
| "distances_to_centroid": { |
| "Kyōtanabe": 4291.2, |
| "Naihāti": 2331.5, |
| "Somandepalle": 2996.7, |
| "Vadakakarai": 3117.6, |
| "Brighton East": 6673.3 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Kyōtanabe: (34.80°, 135.77°)", |
| " Naihāti: (22.89°, 88.42°)", |
| " Somandepalle: (14.01°, 77.61°)", |
| " Vadakakarai: (10.17°, 76.20°)", |
| " Brighton East: (-37.90°, 145.02°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Brighton East: 6673.3 km from centroid", |
| " Kyōtanabe: 4291.2 km from centroid", |
| " Vadakakarai: 3117.6 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Brighton East", |
| "FINAL ANSWER: Brighton East" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 45.33341, |
| "lon": -79.21632, |
| "name": "Huntsville" |
| }, |
| { |
| "lat": 40.72149, |
| "lon": -73.7693, |
| "name": "Terrace Heights" |
| }, |
| { |
| "lat": 45.27413, |
| "lon": -93.59135, |
| "name": "Otsego" |
| }, |
| { |
| "lat": 19.26757, |
| "lon": -99.53214, |
| "name": "San Mateo Atenco" |
| }, |
| { |
| "lat": -23.56729, |
| "lon": -46.69232, |
| "name": "Pinheiros" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Huntsville, Terrace Heights, Otsego, San Mateo Atenco, Pinheiros?", |
| "ground_truth": { |
| "answer": "Pinheiros", |
| "outlier_distance_km": 6436.6, |
| "second_furthest_km": 2586.3, |
| "clarity_ratio": 2.49, |
| "median_distance_km": 2259.2, |
| "distances_to_centroid": { |
| "Huntsville": 2216.6, |
| "Terrace Heights": 1759.8, |
| "Otsego": 2586.3, |
| "San Mateo Atenco": 2259.2, |
| "Pinheiros": 6436.6 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Huntsville: (45.33°, -79.22°)", |
| " Terrace Heights: (40.72°, -73.77°)", |
| " Otsego: (45.27°, -93.59°)", |
| " San Mateo Atenco: (19.27°, -99.53°)", |
| " Pinheiros: (-23.57°, -46.69°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Pinheiros: 6436.6 km from centroid", |
| " Otsego: 2586.3 km from centroid", |
| " San Mateo Atenco: 2259.2 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Pinheiros", |
| "FINAL ANSWER: Pinheiros" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 56.10921, |
| "lon": 94.58698, |
| "name": "Zelenogorsk" |
| }, |
| { |
| "lat": 51.20219, |
| "lon": 7.36027, |
| "name": "Radevormwald" |
| }, |
| { |
| "lat": 48.81568, |
| "lon": 2.38487, |
| "name": "Ivry-sur-Seine" |
| }, |
| { |
| "lat": 50.48333, |
| "lon": 2.55, |
| "name": "Bruay-la-Buissière" |
| }, |
| { |
| "lat": -36.8, |
| "lon": 174.75, |
| "name": "North Shore" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Zelenogorsk, Radevormwald, Ivry-sur-Seine, Bruay-la-Buissière, North Shore?", |
| "ground_truth": { |
| "answer": "North Shore", |
| "outlier_distance_km": 14521.9, |
| "second_furthest_km": 4682.0, |
| "clarity_ratio": 3.1, |
| "median_distance_km": 4673.2, |
| "distances_to_centroid": { |
| "Zelenogorsk": 3805.2, |
| "Radevormwald": 4342.5, |
| "Ivry-sur-Seine": 4682.0, |
| "Bruay-la-Buissière": 4673.2, |
| "North Shore": 14521.9 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Zelenogorsk: (56.11°, 94.59°)", |
| " Radevormwald: (51.20°, 7.36°)", |
| " Ivry-sur-Seine: (48.82°, 2.38°)", |
| " Bruay-la-Buissière: (50.48°, 2.55°)", |
| " North Shore: (-36.80°, 174.75°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " North Shore: 14521.9 km from centroid", |
| " Ivry-sur-Seine: 4682.0 km from centroid", |
| " Bruay-la-Buissière: 4673.2 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: North Shore", |
| "FINAL ANSWER: North Shore" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 51.46026, |
| "lon": 22.60952, |
| "name": "Lubartów" |
| }, |
| { |
| "lat": 47.8082, |
| "lon": 7.63035, |
| "name": "Müllheim" |
| }, |
| { |
| "lat": 49.95542, |
| "lon": 18.57479, |
| "name": "Jastrzębie Zdrój" |
| }, |
| { |
| "lat": 51.88056, |
| "lon": 45.00609, |
| "name": "Atkarsk" |
| }, |
| { |
| "lat": 28.45433, |
| "lon": 104.71498, |
| "name": "Xunchang" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Lubartów, Müllheim, Jastrzębie Zdrój, Atkarsk, Xunchang?", |
| "ground_truth": { |
| "answer": "Xunchang", |
| "outlier_distance_km": 5902.5, |
| "second_furthest_km": 2430.4, |
| "clarity_ratio": 2.43, |
| "median_distance_km": 1631.1, |
| "distances_to_centroid": { |
| "Lubartów": 1394.0, |
| "Müllheim": 2430.4, |
| "Jastrzębie Zdrój": 1631.1, |
| "Atkarsk": 768.0, |
| "Xunchang": 5902.5 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Lubartów: (51.46°, 22.61°)", |
| " Müllheim: (47.81°, 7.63°)", |
| " Jastrzębie Zdrój: (49.96°, 18.57°)", |
| " Atkarsk: (51.88°, 45.01°)", |
| " Xunchang: (28.45°, 104.71°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Xunchang: 5902.5 km from centroid", |
| " Müllheim: 2430.4 km from centroid", |
| " Jastrzębie Zdrój: 1631.1 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Xunchang", |
| "FINAL ANSWER: Xunchang" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -21.66917, |
| "lon": -42.07611, |
| "name": "Itaocara" |
| }, |
| { |
| "lat": -3.74611, |
| "lon": -39.78333, |
| "name": "Irauçuba" |
| }, |
| { |
| "lat": -22.84333, |
| "lon": -47.60611, |
| "name": "Rio das Pedras" |
| }, |
| { |
| "lat": -9.56333, |
| "lon": -35.82444, |
| "name": "Satuba" |
| }, |
| { |
| "lat": 9.8, |
| "lon": 38.4, |
| "name": "Gebre Guracha" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Itaocara, Irauçuba, Rio das Pedras, Satuba, Gebre Guracha?", |
| "ground_truth": { |
| "answer": "Gebre Guracha", |
| "outlier_distance_km": 7379.5, |
| "second_furthest_km": 2786.1, |
| "clarity_ratio": 2.65, |
| "median_distance_km": 2231.7, |
| "distances_to_centroid": { |
| "Itaocara": 2231.7, |
| "Irauçuba": 1718.4, |
| "Rio das Pedras": 2786.1, |
| "Satuba": 1145.3, |
| "Gebre Guracha": 7379.5 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Itaocara: (-21.67°, -42.08°)", |
| " Irauçuba: (-3.75°, -39.78°)", |
| " Rio das Pedras: (-22.84°, -47.61°)", |
| " Satuba: (-9.56°, -35.82°)", |
| " Gebre Guracha: (9.80°, 38.40°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Gebre Guracha: 7379.5 km from centroid", |
| " Rio das Pedras: 2786.1 km from centroid", |
| " Itaocara: 2231.7 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Gebre Guracha", |
| "FINAL ANSWER: Gebre Guracha" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -36.9682, |
| "lon": 174.84019, |
| "name": "Papatoetoe" |
| }, |
| { |
| "lat": -37.78828, |
| "lon": 145.12373, |
| "name": "Doncaster" |
| }, |
| { |
| "lat": -38.26667, |
| "lon": 145.01667, |
| "name": "Mount Martha" |
| }, |
| { |
| "lat": -32.5269, |
| "lon": 115.7217, |
| "name": "Mandurah" |
| }, |
| { |
| "lat": -13.03667, |
| "lon": -46.77167, |
| "name": "Campos Belos" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Papatoetoe, Doncaster, Mount Martha, Mandurah, Campos Belos?", |
| "ground_truth": { |
| "answer": "Campos Belos", |
| "outlier_distance_km": 14296.1, |
| "second_furthest_km": 6142.2, |
| "clarity_ratio": 2.33, |
| "median_distance_km": 3541.5, |
| "distances_to_centroid": { |
| "Papatoetoe": 6142.2, |
| "Doncaster": 3541.5, |
| "Mount Martha": 3531.9, |
| "Mandurah": 846.0, |
| "Campos Belos": 14296.1 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Papatoetoe: (-36.97°, 174.84°)", |
| " Doncaster: (-37.79°, 145.12°)", |
| " Mount Martha: (-38.27°, 145.02°)", |
| " Mandurah: (-32.53°, 115.72°)", |
| " Campos Belos: (-13.04°, -46.77°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Campos Belos: 14296.1 km from centroid", |
| " Papatoetoe: 6142.2 km from centroid", |
| " Doncaster: 3541.5 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Campos Belos", |
| "FINAL ANSWER: Campos Belos" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -26.66008, |
| "lon": 153.09953, |
| "name": "Maroochydore" |
| }, |
| { |
| "lat": -33.72976, |
| "lon": 151.15977, |
| "name": "Saint Ives" |
| }, |
| { |
| "lat": -37.81501, |
| "lon": 144.96657, |
| "name": "Melbourne City Centre" |
| }, |
| { |
| "lat": -37.57742, |
| "lon": 144.72607, |
| "name": "Sunbury" |
| }, |
| { |
| "lat": 40.4842, |
| "lon": -88.99369, |
| "name": "Bloomington" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Maroochydore, Saint Ives, Melbourne City Centre, Sunbury, Bloomington?", |
| "ground_truth": { |
| "answer": "Bloomington", |
| "outlier_distance_km": 17449.5, |
| "second_furthest_km": 5370.0, |
| "clarity_ratio": 3.25, |
| "median_distance_km": 5201.4, |
| "distances_to_centroid": { |
| "Maroochydore": 5370.0, |
| "Saint Ives": 5201.4, |
| "Melbourne City Centre": 4723.1, |
| "Sunbury": 4696.3, |
| "Bloomington": 17449.5 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Maroochydore: (-26.66°, 153.10°)", |
| " Saint Ives: (-33.73°, 151.16°)", |
| " Melbourne City Centre: (-37.82°, 144.97°)", |
| " Sunbury: (-37.58°, 144.73°)", |
| " Bloomington: (40.48°, -88.99°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Bloomington: 17449.5 km from centroid", |
| " Maroochydore: 5370.0 km from centroid", |
| " Saint Ives: 5201.4 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Bloomington", |
| "FINAL ANSWER: Bloomington" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -33.78269, |
| "lon": 151.04888, |
| "name": "Carlingford" |
| }, |
| { |
| "lat": -36.9682, |
| "lon": 174.84019, |
| "name": "Papatoetoe" |
| }, |
| { |
| "lat": -33.2792, |
| "lon": 115.71504, |
| "name": "Australind" |
| }, |
| { |
| "lat": -37.89138, |
| "lon": 144.62368, |
| "name": "Wyndham Vale" |
| }, |
| { |
| "lat": 49.31406, |
| "lon": -123.0725, |
| "name": "Lower Lonsdale" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Carlingford, Papatoetoe, Australind, Wyndham Vale, Lower Lonsdale?", |
| "ground_truth": { |
| "answer": "Lower Lonsdale", |
| "outlier_distance_km": 15342.0, |
| "second_furthest_km": 8108.2, |
| "clarity_ratio": 1.89, |
| "median_distance_km": 5992.0, |
| "distances_to_centroid": { |
| "Carlingford": 5992.0, |
| "Papatoetoe": 8108.2, |
| "Australind": 2821.3, |
| "Wyndham Vale": 5450.1, |
| "Lower Lonsdale": 15342.0 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Carlingford: (-33.78°, 151.05°)", |
| " Papatoetoe: (-36.97°, 174.84°)", |
| " Australind: (-33.28°, 115.72°)", |
| " Wyndham Vale: (-37.89°, 144.62°)", |
| " Lower Lonsdale: (49.31°, -123.07°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Lower Lonsdale: 15342.0 km from centroid", |
| " Papatoetoe: 8108.2 km from centroid", |
| " Carlingford: 5992.0 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Lower Lonsdale", |
| "FINAL ANSWER: Lower Lonsdale" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -37.8149, |
| "lon": 144.95052, |
| "name": "Docklands" |
| }, |
| { |
| "lat": -38.26667, |
| "lon": 145.01667, |
| "name": "Mount Martha" |
| }, |
| { |
| "lat": -38.03333, |
| "lon": 145.25, |
| "name": "Hampton Park" |
| }, |
| { |
| "lat": -31.09048, |
| "lon": 150.92905, |
| "name": "Tamworth" |
| }, |
| { |
| "lat": 43.78609, |
| "lon": -79.33502, |
| "name": "Pleasant View" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Docklands, Mount Martha, Hampton Park, Tamworth, Pleasant View?", |
| "ground_truth": { |
| "answer": "Pleasant View", |
| "outlier_distance_km": 17401.0, |
| "second_furthest_km": 5067.7, |
| "clarity_ratio": 3.43, |
| "median_distance_km": 4642.5, |
| "distances_to_centroid": { |
| "Docklands": 4611.6, |
| "Mount Martha": 4628.2, |
| "Hampton Park": 4642.5, |
| "Tamworth": 5067.7, |
| "Pleasant View": 17401.0 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Docklands: (-37.81°, 144.95°)", |
| " Mount Martha: (-38.27°, 145.02°)", |
| " Hampton Park: (-38.03°, 145.25°)", |
| " Tamworth: (-31.09°, 150.93°)", |
| " Pleasant View: (43.79°, -79.34°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Pleasant View: 17401.0 km from centroid", |
| " Tamworth: 5067.7 km from centroid", |
| " Hampton Park: 4642.5 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Pleasant View", |
| "FINAL ANSWER: Pleasant View" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -32.24295, |
| "lon": 148.60484, |
| "name": "Dubbo" |
| }, |
| { |
| "lat": -19.26639, |
| "lon": 146.80569, |
| "name": "Townsville" |
| }, |
| { |
| "lat": -36.86472, |
| "lon": 174.64768, |
| "name": "Te Atatu South" |
| }, |
| { |
| "lat": -38.05916, |
| "lon": 145.40947, |
| "name": "Officer" |
| }, |
| { |
| "lat": 19.31556, |
| "lon": -98.88284, |
| "name": "Ixtapaluca" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Dubbo, Townsville, Te Atatu South, Officer, Ixtapaluca?", |
| "ground_truth": { |
| "answer": "Ixtapaluca", |
| "outlier_distance_km": 17691.1, |
| "second_furthest_km": 6979.9, |
| "clarity_ratio": 2.53, |
| "median_distance_km": 4616.0, |
| "distances_to_centroid": { |
| "Dubbo": 4616.0, |
| "Townsville": 4526.2, |
| "Te Atatu South": 6979.9, |
| "Officer": 4417.6, |
| "Ixtapaluca": 17691.1 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Dubbo: (-32.24°, 148.60°)", |
| " Townsville: (-19.27°, 146.81°)", |
| " Te Atatu South: (-36.86°, 174.65°)", |
| " Officer: (-38.06°, 145.41°)", |
| " Ixtapaluca: (19.32°, -98.88°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Ixtapaluca: 17691.1 km from centroid", |
| " Te Atatu South: 6979.9 km from centroid", |
| " Dubbo: 4616.0 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Ixtapaluca", |
| "FINAL ANSWER: Ixtapaluca" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -37.88264, |
| "lon": 144.7003, |
| "name": "Hoppers Crossing" |
| }, |
| { |
| "lat": -38.15912, |
| "lon": 145.93118, |
| "name": "Warragul" |
| }, |
| { |
| "lat": -37.98333, |
| "lon": 145.2, |
| "name": "Dandenong" |
| }, |
| { |
| "lat": -32.83211, |
| "lon": 151.35623, |
| "name": "Cessnock" |
| }, |
| { |
| "lat": -21.83222, |
| "lon": -46.89361, |
| "name": "Vargem Grande do Sul" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Hoppers Crossing, Warragul, Dandenong, Cessnock, Vargem Grande do Sul?", |
| "ground_truth": { |
| "answer": "Vargem Grande do Sul", |
| "outlier_distance_km": 13290.6, |
| "second_furthest_km": 3995.9, |
| "clarity_ratio": 3.33, |
| "median_distance_km": 3420.5, |
| "distances_to_centroid": { |
| "Hoppers Crossing": 3314.7, |
| "Warragul": 3420.5, |
| "Dandenong": 3357.8, |
| "Cessnock": 3995.9, |
| "Vargem Grande do Sul": 13290.6 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Hoppers Crossing: (-37.88°, 144.70°)", |
| " Warragul: (-38.16°, 145.93°)", |
| " Dandenong: (-37.98°, 145.20°)", |
| " Cessnock: (-32.83°, 151.36°)", |
| " Vargem Grande do Sul: (-21.83°, -46.89°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Vargem Grande do Sul: 13290.6 km from centroid", |
| " Cessnock: 3995.9 km from centroid", |
| " Warragul: 3420.5 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Vargem Grande do Sul", |
| "FINAL ANSWER: Vargem Grande do Sul" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -36.9382, |
| "lon": 174.84019, |
| "name": "Otahuhu" |
| }, |
| { |
| "lat": -36.88333, |
| "lon": 174.7, |
| "name": "Avondale" |
| }, |
| { |
| "lat": -34.06564, |
| "lon": 151.01266, |
| "name": "Engadine" |
| }, |
| { |
| "lat": -33.95, |
| "lon": 151.23333, |
| "name": "Maroubra" |
| }, |
| { |
| "lat": 19.3467, |
| "lon": -99.16174, |
| "name": "Coyoacán" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Otahuhu, Avondale, Engadine, Maroubra, Coyoacán?", |
| "ground_truth": { |
| "answer": "Coyoacán", |
| "outlier_distance_km": 16906.0, |
| "second_furthest_km": 6186.6, |
| "clarity_ratio": 2.73, |
| "median_distance_km": 6174.9, |
| "distances_to_centroid": { |
| "Otahuhu": 6186.6, |
| "Avondale": 6174.9, |
| "Engadine": 4040.1, |
| "Maroubra": 4059.4, |
| "Coyoacán": 16906.0 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Otahuhu: (-36.94°, 174.84°)", |
| " Avondale: (-36.88°, 174.70°)", |
| " Engadine: (-34.07°, 151.01°)", |
| " Maroubra: (-33.95°, 151.23°)", |
| " Coyoacán: (19.35°, -99.16°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Coyoacán: 16906.0 km from centroid", |
| " Otahuhu: 6186.6 km from centroid", |
| " Avondale: 6174.9 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Coyoacán", |
| "FINAL ANSWER: Coyoacán" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 30.02333, |
| "lon": 106.42963, |
| "name": "Shuangfeng" |
| }, |
| { |
| "lat": 18.71364, |
| "lon": 76.06718, |
| "name": "Kaij" |
| }, |
| { |
| "lat": 3.6253, |
| "lon": 98.864, |
| "name": "Percut" |
| }, |
| { |
| "lat": 5.02917, |
| "lon": 119.77306, |
| "name": "Bongao" |
| }, |
| { |
| "lat": -6.89028, |
| "lon": -38.55528, |
| "name": "Cajazeiras" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Shuangfeng, Kaij, Percut, Bongao, Cajazeiras?", |
| "ground_truth": { |
| "answer": "Cajazeiras", |
| "outlier_distance_km": 12438.9, |
| "second_furthest_km": 5234.9, |
| "clarity_ratio": 2.38, |
| "median_distance_km": 4151.1, |
| "distances_to_centroid": { |
| "Shuangfeng": 4151.1, |
| "Kaij": 1031.2, |
| "Percut": 2994.6, |
| "Bongao": 5234.9, |
| "Cajazeiras": 12438.9 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Shuangfeng: (30.02°, 106.43°)", |
| " Kaij: (18.71°, 76.07°)", |
| " Percut: (3.63°, 98.86°)", |
| " Bongao: (5.03°, 119.77°)", |
| " Cajazeiras: (-6.89°, -38.56°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Cajazeiras: 12438.9 km from centroid", |
| " Bongao: 5234.9 km from centroid", |
| " Shuangfeng: 4151.1 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Cajazeiras", |
| "FINAL ANSWER: Cajazeiras" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 22.27194, |
| "lon": -101.98602, |
| "name": "Loreto" |
| }, |
| { |
| "lat": 47.40177, |
| "lon": -122.32429, |
| "name": "Des Moines" |
| }, |
| { |
| "lat": 33.86726, |
| "lon": -112.14682, |
| "name": "Anthem" |
| }, |
| { |
| "lat": 39.52963, |
| "lon": -119.8138, |
| "name": "Reno" |
| }, |
| { |
| "lat": -7.50528, |
| "lon": -35.31833, |
| "name": "Timbaúba" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Loreto, Des Moines, Anthem, Reno, Timbaúba?", |
| "ground_truth": { |
| "answer": "Timbaúba", |
| "outlier_distance_km": 7789.8, |
| "second_furthest_km": 3073.9, |
| "clarity_ratio": 2.53, |
| "median_distance_km": 2417.7, |
| "distances_to_centroid": { |
| "Loreto": 653.4, |
| "Des Moines": 3073.9, |
| "Anthem": 1521.0, |
| "Reno": 2417.7, |
| "Timbaúba": 7789.8 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Loreto: (22.27°, -101.99°)", |
| " Des Moines: (47.40°, -122.32°)", |
| " Anthem: (33.87°, -112.15°)", |
| " Reno: (39.53°, -119.81°)", |
| " Timbaúba: (-7.51°, -35.32°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Timbaúba: 7789.8 km from centroid", |
| " Des Moines: 3073.9 km from centroid", |
| " Reno: 2417.7 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Timbaúba", |
| "FINAL ANSWER: Timbaúba" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 18.61357, |
| "lon": 79.37442, |
| "name": "Peddapalli" |
| }, |
| { |
| "lat": 29.409, |
| "lon": 106.14228, |
| "name": "Dingjia" |
| }, |
| { |
| "lat": 38.13387, |
| "lon": 85.52992, |
| "name": "Qiemo" |
| }, |
| { |
| "lat": 34.72083, |
| "lon": 104.88583, |
| "name": "Wushan" |
| }, |
| { |
| "lat": 53.4614, |
| "lon": -2.92863, |
| "name": "Fazakerley" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Peddapalli, Dingjia, Qiemo, Wushan, Fazakerley?", |
| "ground_truth": { |
| "answer": "Fazakerley", |
| "outlier_distance_km": 6183.7, |
| "second_furthest_km": 3018.2, |
| "clarity_ratio": 2.05, |
| "median_distance_km": 2754.8, |
| "distances_to_centroid": { |
| "Peddapalli": 1867.8, |
| "Dingjia": 3018.2, |
| "Qiemo": 1041.4, |
| "Wushan": 2754.8, |
| "Fazakerley": 6183.7 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Peddapalli: (18.61°, 79.37°)", |
| " Dingjia: (29.41°, 106.14°)", |
| " Qiemo: (38.13°, 85.53°)", |
| " Wushan: (34.72°, 104.89°)", |
| " Fazakerley: (53.46°, -2.93°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Fazakerley: 6183.7 km from centroid", |
| " Dingjia: 3018.2 km from centroid", |
| " Wushan: 2754.8 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Fazakerley", |
| "FINAL ANSWER: Fazakerley" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -32.73308, |
| "lon": 151.5574, |
| "name": "Maitland" |
| }, |
| { |
| "lat": -37.89359, |
| "lon": 145.05534, |
| "name": "Carnegie" |
| }, |
| { |
| "lat": -32.5269, |
| "lon": 115.7217, |
| "name": "Mandurah" |
| }, |
| { |
| "lat": -38.13333, |
| "lon": 145.13333, |
| "name": "Frankston East" |
| }, |
| { |
| "lat": 30.8248, |
| "lon": 30.81805, |
| "name": "Kafr az Zayyāt" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Maitland, Carnegie, Mandurah, Frankston East, Kafr az Zayyāt?", |
| "ground_truth": { |
| "answer": "Kafr az Zayyāt", |
| "outlier_distance_km": 10959.4, |
| "second_furthest_km": 3531.0, |
| "clarity_ratio": 3.1, |
| "median_distance_km": 3168.5, |
| "distances_to_centroid": { |
| "Maitland": 3531.0, |
| "Carnegie": 3150.6, |
| "Mandurah": 1175.8, |
| "Frankston East": 3168.5, |
| "Kafr az Zayyāt": 10959.4 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Maitland: (-32.73°, 151.56°)", |
| " Carnegie: (-37.89°, 145.06°)", |
| " Mandurah: (-32.53°, 115.72°)", |
| " Frankston East: (-38.13°, 145.13°)", |
| " Kafr az Zayyāt: (30.82°, 30.82°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Kafr az Zayyāt: 10959.4 km from centroid", |
| " Maitland: 3531.0 km from centroid", |
| " Frankston East: 3168.5 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Kafr az Zayyāt", |
| "FINAL ANSWER: Kafr az Zayyāt" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 51.52754, |
| "lon": 11.54835, |
| "name": "Eisleben Lutherstadt" |
| }, |
| { |
| "lat": 53.41667, |
| "lon": -1.2, |
| "name": "Maltby" |
| }, |
| { |
| "lat": 38.01328, |
| "lon": -3.3705, |
| "name": "Úbeda" |
| }, |
| { |
| "lat": 43.31195, |
| "lon": 45.68895, |
| "name": "Grozny" |
| }, |
| { |
| "lat": -11.79667, |
| "lon": -49.52889, |
| "name": "Formoso do Araguaia" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Eisleben Lutherstadt, Maltby, Úbeda, Grozny, Formoso do Araguaia?", |
| "ground_truth": { |
| "answer": "Formoso do Araguaia", |
| "outlier_distance_km": 7403.5, |
| "second_furthest_km": 3949.0, |
| "clarity_ratio": 1.87, |
| "median_distance_km": 2064.5, |
| "distances_to_centroid": { |
| "Eisleben Lutherstadt": 2045.2, |
| "Maltby": 2064.5, |
| "Úbeda": 498.0, |
| "Grozny": 3949.0, |
| "Formoso do Araguaia": 7403.5 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Eisleben Lutherstadt: (51.53°, 11.55°)", |
| " Maltby: (53.42°, -1.20°)", |
| " Úbeda: (38.01°, -3.37°)", |
| " Grozny: (43.31°, 45.69°)", |
| " Formoso do Araguaia: (-11.80°, -49.53°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Formoso do Araguaia: 7403.5 km from centroid", |
| " Grozny: 3949.0 km from centroid", |
| " Maltby: 2064.5 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Formoso do Araguaia", |
| "FINAL ANSWER: Formoso do Araguaia" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -36.88333, |
| "lon": 174.7, |
| "name": "Avondale" |
| }, |
| { |
| "lat": -37.58333, |
| "lon": 145.03333, |
| "name": "Wollert" |
| }, |
| { |
| "lat": -37.76667, |
| "lon": 144.96667, |
| "name": "Brunswick" |
| }, |
| { |
| "lat": -33.9205, |
| "lon": 151.25522, |
| "name": "Coogee" |
| }, |
| { |
| "lat": -29.71671, |
| "lon": -52.50321, |
| "name": "Vera Cruz" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Avondale, Wollert, Brunswick, Coogee, Vera Cruz?", |
| "ground_truth": { |
| "answer": "Vera Cruz", |
| "outlier_distance_km": 12634.7, |
| "second_furthest_km": 5477.7, |
| "clarity_ratio": 2.31, |
| "median_distance_km": 3512.5, |
| "distances_to_centroid": { |
| "Avondale": 5477.7, |
| "Wollert": 2893.6, |
| "Brunswick": 2886.1, |
| "Coogee": 3512.5, |
| "Vera Cruz": 12634.7 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Avondale: (-36.88°, 174.70°)", |
| " Wollert: (-37.58°, 145.03°)", |
| " Brunswick: (-37.77°, 144.97°)", |
| " Coogee: (-33.92°, 151.26°)", |
| " Vera Cruz: (-29.72°, -52.50°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Vera Cruz: 12634.7 km from centroid", |
| " Avondale: 5477.7 km from centroid", |
| " Coogee: 3512.5 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Vera Cruz", |
| "FINAL ANSWER: Vera Cruz" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 34.77148, |
| "lon": 127.07996, |
| "name": "Boseong" |
| }, |
| { |
| "lat": 31.21288, |
| "lon": 108.34026, |
| "name": "Dade" |
| }, |
| { |
| "lat": 25.33061, |
| "lon": 76.50973, |
| "name": "Māngrol" |
| }, |
| { |
| "lat": 20.81717, |
| "lon": 105.33759, |
| "name": "Hòa Bình" |
| }, |
| { |
| "lat": -20.53389, |
| "lon": -49.31417, |
| "name": "Nova Granada" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Boseong, Dade, Māngrol, Hòa Bình, Nova Granada?", |
| "ground_truth": { |
| "answer": "Nova Granada", |
| "outlier_distance_km": 14053.3, |
| "second_furthest_km": 5556.2, |
| "clarity_ratio": 2.53, |
| "median_distance_km": 3769.8, |
| "distances_to_centroid": { |
| "Boseong": 5556.2, |
| "Dade": 3769.8, |
| "Māngrol": 835.7, |
| "Hòa Bình": 3332.5, |
| "Nova Granada": 14053.3 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Boseong: (34.77°, 127.08°)", |
| " Dade: (31.21°, 108.34°)", |
| " Māngrol: (25.33°, 76.51°)", |
| " Hòa Bình: (20.82°, 105.34°)", |
| " Nova Granada: (-20.53°, -49.31°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Nova Granada: 14053.3 km from centroid", |
| " Boseong: 5556.2 km from centroid", |
| " Dade: 3769.8 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Nova Granada", |
| "FINAL ANSWER: Nova Granada" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -36.86472, |
| "lon": 174.64768, |
| "name": "Te Atatu South" |
| }, |
| { |
| "lat": -31.91099, |
| "lon": 152.45387, |
| "name": "Taree" |
| }, |
| { |
| "lat": -37.65, |
| "lon": 145.03333, |
| "name": "Epping" |
| }, |
| { |
| "lat": -37.86667, |
| "lon": 145.06667, |
| "name": "Glen Iris" |
| }, |
| { |
| "lat": -17.13806, |
| "lon": -49.98806, |
| "name": "Indiara" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Te Atatu South, Taree, Epping, Glen Iris, Indiara?", |
| "ground_truth": { |
| "answer": "Indiara", |
| "outlier_distance_km": 14243.0, |
| "second_furthest_km": 5531.0, |
| "clarity_ratio": 2.58, |
| "median_distance_km": 3654.3, |
| "distances_to_centroid": { |
| "Te Atatu South": 5531.0, |
| "Taree": 3654.3, |
| "Epping": 2925.2, |
| "Glen Iris": 2929.1, |
| "Indiara": 14243.0 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Te Atatu South: (-36.86°, 174.65°)", |
| " Taree: (-31.91°, 152.45°)", |
| " Epping: (-37.65°, 145.03°)", |
| " Glen Iris: (-37.87°, 145.07°)", |
| " Indiara: (-17.14°, -49.99°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Indiara: 14243.0 km from centroid", |
| " Te Atatu South: 5531.0 km from centroid", |
| " Taree: 3654.3 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Indiara", |
| "FINAL ANSWER: Indiara" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -7.09639, |
| "lon": -35.23278, |
| "name": "Sapé" |
| }, |
| { |
| "lat": -22.99835, |
| "lon": -43.36545, |
| "name": "Barra da Tijuca" |
| }, |
| { |
| "lat": -30.00018, |
| "lon": -51.07632, |
| "name": "Alvorada" |
| }, |
| { |
| "lat": -8.96389, |
| "lon": -37.62833, |
| "name": "Manari" |
| }, |
| { |
| "lat": 30.71877, |
| "lon": 31.56299, |
| "name": "Al Ibrāhīmīyah" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Sapé, Barra da Tijuca, Alvorada, Manari, Al Ibrāhīmīyah?", |
| "ground_truth": { |
| "answer": "Al Ibrāhīmīyah", |
| "outlier_distance_km": 7563.2, |
| "second_furthest_km": 3519.8, |
| "clarity_ratio": 2.15, |
| "median_distance_km": 2430.4, |
| "distances_to_centroid": { |
| "Sapé": 893.8, |
| "Barra da Tijuca": 2430.4, |
| "Alvorada": 3519.8, |
| "Manari": 1162.0, |
| "Al Ibrāhīmīyah": 7563.2 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Sapé: (-7.10°, -35.23°)", |
| " Barra da Tijuca: (-23.00°, -43.37°)", |
| " Alvorada: (-30.00°, -51.08°)", |
| " Manari: (-8.96°, -37.63°)", |
| " Al Ibrāhīmīyah: (30.72°, 31.56°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Al Ibrāhīmīyah: 7563.2 km from centroid", |
| " Alvorada: 3519.8 km from centroid", |
| " Barra da Tijuca: 2430.4 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Al Ibrāhīmīyah", |
| "FINAL ANSWER: Al Ibrāhīmīyah" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 30.85711, |
| "lon": 32.31183, |
| "name": "Al Qanţarah" |
| }, |
| { |
| "lat": 11.28333, |
| "lon": 36.21667, |
| "name": "Mambuk" |
| }, |
| { |
| "lat": -25.68991, |
| "lon": 30.03504, |
| "name": "Belfast" |
| }, |
| { |
| "lat": 8.72851, |
| "lon": 5.75561, |
| "name": "Patigi" |
| }, |
| { |
| "lat": -5.0925, |
| "lon": -80.1625, |
| "name": "Chulucanas" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Al Qanţarah, Mambuk, Belfast, Patigi, Chulucanas?", |
| "ground_truth": { |
| "answer": "Chulucanas", |
| "outlier_distance_km": 9494.2, |
| "second_furthest_km": 4277.1, |
| "clarity_ratio": 2.22, |
| "median_distance_km": 4145.7, |
| "distances_to_centroid": { |
| "Al Qanţarah": 4145.7, |
| "Mambuk": 3548.8, |
| "Belfast": 4277.1, |
| "Patigi": 533.7, |
| "Chulucanas": 9494.2 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Al Qanţarah: (30.86°, 32.31°)", |
| " Mambuk: (11.28°, 36.22°)", |
| " Belfast: (-25.69°, 30.04°)", |
| " Patigi: (8.73°, 5.76°)", |
| " Chulucanas: (-5.09°, -80.16°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Chulucanas: 9494.2 km from centroid", |
| " Belfast: 4277.1 km from centroid", |
| " Al Qanţarah: 4145.7 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Chulucanas", |
| "FINAL ANSWER: Chulucanas" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -41.31946, |
| "lon": -72.98538, |
| "name": "Puerto Varas" |
| }, |
| { |
| "lat": -23.64889, |
| "lon": -46.85222, |
| "name": "Embu das Artes" |
| }, |
| { |
| "lat": -20.76361, |
| "lon": -41.53306, |
| "name": "Alegre" |
| }, |
| { |
| "lat": -22.74389, |
| "lon": -43.7075, |
| "name": "Seropédica" |
| }, |
| { |
| "lat": 41.31755, |
| "lon": -81.34539, |
| "name": "Aurora" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Puerto Varas, Embu das Artes, Alegre, Seropédica, Aurora?", |
| "ground_truth": { |
| "answer": "Aurora", |
| "outlier_distance_km": 6570.6, |
| "second_furthest_km": 3453.9, |
| "clarity_ratio": 1.9, |
| "median_distance_km": 1860.3, |
| "distances_to_centroid": { |
| "Puerto Varas": 3453.9, |
| "Embu das Artes": 1579.8, |
| "Alegre": 1860.3, |
| "Seropédica": 1767.7, |
| "Aurora": 6570.6 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Puerto Varas: (-41.32°, -72.99°)", |
| " Embu das Artes: (-23.65°, -46.85°)", |
| " Alegre: (-20.76°, -41.53°)", |
| " Seropédica: (-22.74°, -43.71°)", |
| " Aurora: (41.32°, -81.35°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Aurora: 6570.6 km from centroid", |
| " Puerto Varas: 3453.9 km from centroid", |
| " Alegre: 1860.3 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Aurora", |
| "FINAL ANSWER: Aurora" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 48.93964, |
| "lon": 9.25995, |
| "name": "Marbach am Neckar" |
| }, |
| { |
| "lat": 42.82562, |
| "lon": -1.61671, |
| "name": "Burlata" |
| }, |
| { |
| "lat": 44.74471, |
| "lon": -0.68194, |
| "name": "Cestas" |
| }, |
| { |
| "lat": 51.41505, |
| "lon": -0.0927, |
| "name": "Upper Norwood" |
| }, |
| { |
| "lat": -34.28853, |
| "lon": 146.05093, |
| "name": "Griffith" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Marbach am Neckar, Burlata, Cestas, Upper Norwood, Griffith?", |
| "ground_truth": { |
| "answer": "Griffith", |
| "outlier_distance_km": 14053.6, |
| "second_furthest_km": 3405.6, |
| "clarity_ratio": 4.13, |
| "median_distance_km": 3142.3, |
| "distances_to_centroid": { |
| "Marbach am Neckar": 2704.4, |
| "Burlata": 3142.3, |
| "Cestas": 3132.3, |
| "Upper Norwood": 3405.6, |
| "Griffith": 14053.6 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Marbach am Neckar: (48.94°, 9.26°)", |
| " Burlata: (42.83°, -1.62°)", |
| " Cestas: (44.74°, -0.68°)", |
| " Upper Norwood: (51.42°, -0.09°)", |
| " Griffith: (-34.29°, 146.05°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Griffith: 14053.6 km from centroid", |
| " Upper Norwood: 3405.6 km from centroid", |
| " Burlata: 3142.3 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Griffith", |
| "FINAL ANSWER: Griffith" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 12.11667, |
| "lon": 37.78333, |
| "name": "Ādīs Zemen" |
| }, |
| { |
| "lat": 30.90711, |
| "lon": 32.02341, |
| "name": "Munsha‘at Abū ‘Umar" |
| }, |
| { |
| "lat": 25.29336, |
| "lon": 32.55402, |
| "name": "Esna" |
| }, |
| { |
| "lat": 12.37299, |
| "lon": 14.2069, |
| "name": "Gamboru" |
| }, |
| { |
| "lat": 34.81667, |
| "lon": 137.4, |
| "name": "Toyokawa" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Ādīs Zemen, Munsha‘at Abū ‘Umar, Esna, Gamboru, Toyokawa?", |
| "ground_truth": { |
| "answer": "Toyokawa", |
| "outlier_distance_km": 8274.2, |
| "second_furthest_km": 4041.1, |
| "clarity_ratio": 2.05, |
| "median_distance_km": 2048.3, |
| "distances_to_centroid": { |
| "Ādīs Zemen": 1839.8, |
| "Munsha‘at Abū ‘Umar": 2048.3, |
| "Esna": 1864.4, |
| "Gamboru": 4041.1, |
| "Toyokawa": 8274.2 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Ādīs Zemen: (12.12°, 37.78°)", |
| " Munsha‘at Abū ‘Umar: (30.91°, 32.02°)", |
| " Esna: (25.29°, 32.55°)", |
| " Gamboru: (12.37°, 14.21°)", |
| " Toyokawa: (34.82°, 137.40°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Toyokawa: 8274.2 km from centroid", |
| " Gamboru: 4041.1 km from centroid", |
| " Munsha‘at Abū ‘Umar: 2048.3 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Toyokawa", |
| "FINAL ANSWER: Toyokawa" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -14.3125, |
| "lon": -39.32333, |
| "name": "Ubaitaba" |
| }, |
| { |
| "lat": -23.63083, |
| "lon": -46.59817, |
| "name": "Sacomã" |
| }, |
| { |
| "lat": -5.14556, |
| "lon": -38.09806, |
| "name": "Limoeiro do Norte" |
| }, |
| { |
| "lat": -2.18611, |
| "lon": -56.71306, |
| "name": "Nhamundá" |
| }, |
| { |
| "lat": 52.66917, |
| "lon": 4.70417, |
| "name": "Bergen" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Ubaitaba, Sacomã, Limoeiro do Norte, Nhamundá, Bergen?", |
| "ground_truth": { |
| "answer": "Bergen", |
| "outlier_distance_km": 6777.7, |
| "second_furthest_km": 3051.8, |
| "clarity_ratio": 2.22, |
| "median_distance_km": 2425.5, |
| "distances_to_centroid": { |
| "Ubaitaba": 1813.5, |
| "Sacomã": 3051.8, |
| "Limoeiro do Norte": 803.6, |
| "Nhamundá": 2425.5, |
| "Bergen": 6777.7 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Ubaitaba: (-14.31°, -39.32°)", |
| " Sacomã: (-23.63°, -46.60°)", |
| " Limoeiro do Norte: (-5.15°, -38.10°)", |
| " Nhamundá: (-2.19°, -56.71°)", |
| " Bergen: (52.67°, 4.70°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Bergen: 6777.7 km from centroid", |
| " Sacomã: 3051.8 km from centroid", |
| " Nhamundá: 2425.5 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Bergen", |
| "FINAL ANSWER: Bergen" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 26.12705, |
| "lon": 83.89148, |
| "name": "Bilthra" |
| }, |
| { |
| "lat": 23.67595, |
| "lon": 91.28325, |
| "name": "Bisālgarh" |
| }, |
| { |
| "lat": 30.12796, |
| "lon": 77.28371, |
| "name": "Yamuna Nagar" |
| }, |
| { |
| "lat": 37.31739, |
| "lon": 79.70532, |
| "name": "Puqiakeqi" |
| }, |
| { |
| "lat": -37.81992, |
| "lon": 145.0358, |
| "name": "Hawthorn" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Bilthra, Bisālgarh, Yamuna Nagar, Puqiakeqi, Hawthorn?", |
| "ground_truth": { |
| "answer": "Hawthorn", |
| "outlier_distance_km": 7901.2, |
| "second_furthest_km": 2841.3, |
| "clarity_ratio": 2.78, |
| "median_distance_km": 2435.0, |
| "distances_to_centroid": { |
| "Bilthra": 1651.6, |
| "Bisālgarh": 969.1, |
| "Yamuna Nagar": 2435.0, |
| "Puqiakeqi": 2841.3, |
| "Hawthorn": 7901.2 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Bilthra: (26.13°, 83.89°)", |
| " Bisālgarh: (23.68°, 91.28°)", |
| " Yamuna Nagar: (30.13°, 77.28°)", |
| " Puqiakeqi: (37.32°, 79.71°)", |
| " Hawthorn: (-37.82°, 145.04°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Hawthorn: 7901.2 km from centroid", |
| " Puqiakeqi: 2841.3 km from centroid", |
| " Yamuna Nagar: 2435.0 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Hawthorn", |
| "FINAL ANSWER: Hawthorn" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -12.05048, |
| "lon": -76.97335, |
| "name": "Santa Anita - Los Ficus" |
| }, |
| { |
| "lat": -29.44806, |
| "lon": -50.58361, |
| "name": "São Francisco de Paula" |
| }, |
| { |
| "lat": -17.345, |
| "lon": -44.94194, |
| "name": "Pirapora" |
| }, |
| { |
| "lat": -10.34472, |
| "lon": -39.83556, |
| "name": "Andorinha" |
| }, |
| { |
| "lat": 49.12426, |
| "lon": 8.59804, |
| "name": "Bruchsal" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Santa Anita - Los Ficus, São Francisco de Paula, Pirapora, Andorinha, Bruchsal?", |
| "ground_truth": { |
| "answer": "Bruchsal", |
| "outlier_distance_km": 7576.4, |
| "second_furthest_km": 4082.8, |
| "clarity_ratio": 1.86, |
| "median_distance_km": 3012.1, |
| "distances_to_centroid": { |
| "Santa Anita - Los Ficus": 4082.8, |
| "São Francisco de Paula": 3012.1, |
| "Pirapora": 1551.4, |
| "Andorinha": 711.2, |
| "Bruchsal": 7576.4 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Santa Anita - Los Ficus: (-12.05°, -76.97°)", |
| " São Francisco de Paula: (-29.45°, -50.58°)", |
| " Pirapora: (-17.34°, -44.94°)", |
| " Andorinha: (-10.34°, -39.84°)", |
| " Bruchsal: (49.12°, 8.60°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Bruchsal: 7576.4 km from centroid", |
| " Santa Anita - Los Ficus: 4082.8 km from centroid", |
| " São Francisco de Paula: 3012.1 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Bruchsal", |
| "FINAL ANSWER: Bruchsal" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 18.50246, |
| "lon": -98.75358, |
| "name": "Axochiapan" |
| }, |
| { |
| "lat": 34.77453, |
| "lon": -96.67834, |
| "name": "Ada" |
| }, |
| { |
| "lat": 38.784, |
| "lon": -77.46971, |
| "name": "Manassas Park" |
| }, |
| { |
| "lat": 19.13325, |
| "lon": -97.64167, |
| "name": "San Salvador El Seco" |
| }, |
| { |
| "lat": 43.38285, |
| "lon": -3.22043, |
| "name": "Castro-Urdiales" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Axochiapan, Ada, Manassas Park, San Salvador El Seco, Castro-Urdiales?", |
| "ground_truth": { |
| "answer": "Castro-Urdiales", |
| "outlier_distance_km": 6294.2, |
| "second_furthest_km": 2780.3, |
| "clarity_ratio": 2.26, |
| "median_distance_km": 2644.1, |
| "distances_to_centroid": { |
| "Axochiapan": 2780.3, |
| "Ada": 2088.3, |
| "Manassas Park": 909.3, |
| "San Salvador El Seco": 2644.1, |
| "Castro-Urdiales": 6294.2 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Axochiapan: (18.50°, -98.75°)", |
| " Ada: (34.77°, -96.68°)", |
| " Manassas Park: (38.78°, -77.47°)", |
| " San Salvador El Seco: (19.13°, -97.64°)", |
| " Castro-Urdiales: (43.38°, -3.22°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Castro-Urdiales: 6294.2 km from centroid", |
| " Axochiapan: 2780.3 km from centroid", |
| " San Salvador El Seco: 2644.1 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Castro-Urdiales", |
| "FINAL ANSWER: Castro-Urdiales" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -28.21298, |
| "lon": 153.53634, |
| "name": "Banora Point" |
| }, |
| { |
| "lat": -37.81667, |
| "lon": 144.75, |
| "name": "Truganina" |
| }, |
| { |
| "lat": -36.9682, |
| "lon": 174.84019, |
| "name": "Papatoetoe" |
| }, |
| { |
| "lat": -36.9382, |
| "lon": 174.84019, |
| "name": "Otahuhu" |
| }, |
| { |
| "lat": 11.19152, |
| "lon": 40.01675, |
| "name": "Batī" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Banora Point, Truganina, Papatoetoe, Otahuhu, Batī?", |
| "ground_truth": { |
| "answer": "Batī", |
| "outlier_distance_km": 11296.1, |
| "second_furthest_km": 3722.2, |
| "clarity_ratio": 3.03, |
| "median_distance_km": 3721.6, |
| "distances_to_centroid": { |
| "Banora Point": 1601.8, |
| "Truganina": 1501.3, |
| "Papatoetoe": 3722.2, |
| "Otahuhu": 3721.6, |
| "Batī": 11296.1 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Banora Point: (-28.21°, 153.54°)", |
| " Truganina: (-37.82°, 144.75°)", |
| " Papatoetoe: (-36.97°, 174.84°)", |
| " Otahuhu: (-36.94°, 174.84°)", |
| " Batī: (11.19°, 40.02°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Batī: 11296.1 km from centroid", |
| " Papatoetoe: 3722.2 km from centroid", |
| " Otahuhu: 3721.6 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Batī", |
| "FINAL ANSWER: Batī" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 9.31387, |
| "lon": 42.11815, |
| "name": "Harar" |
| }, |
| { |
| "lat": 30.72508, |
| "lon": 31.67148, |
| "name": "Abū Kabīr" |
| }, |
| { |
| "lat": 10.31032, |
| "lon": 9.84388, |
| "name": "Bauchi" |
| }, |
| { |
| "lat": 31.61166, |
| "lon": 25.92539, |
| "name": "Sīdī Barānī" |
| }, |
| { |
| "lat": 13.08449, |
| "lon": 79.67053, |
| "name": "Arakkonam" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Harar, Abū Kabīr, Bauchi, Sīdī Barānī, Arakkonam?", |
| "ground_truth": { |
| "answer": "Arakkonam", |
| "outlier_distance_km": 4507.4, |
| "second_furthest_km": 3158.6, |
| "clarity_ratio": 1.43, |
| "median_distance_km": 1840.9, |
| "distances_to_centroid": { |
| "Harar": 1172.1, |
| "Abū Kabīr": 1443.2, |
| "Bauchi": 3158.6, |
| "Sīdī Barānī": 1840.9, |
| "Arakkonam": 4507.4 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Harar: (9.31°, 42.12°)", |
| " Abū Kabīr: (30.73°, 31.67°)", |
| " Bauchi: (10.31°, 9.84°)", |
| " Sīdī Barānī: (31.61°, 25.93°)", |
| " Arakkonam: (13.08°, 79.67°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Arakkonam: 4507.4 km from centroid", |
| " Bauchi: 3158.6 km from centroid", |
| " Sīdī Barānī: 1840.9 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Arakkonam", |
| "FINAL ANSWER: Arakkonam" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -37.81667, |
| "lon": 144.9, |
| "name": "Yarraville" |
| }, |
| { |
| "lat": -37.2, |
| "lon": 174.95, |
| "name": "Pukekohe East" |
| }, |
| { |
| "lat": -39.06667, |
| "lon": 174.08333, |
| "name": "New Plymouth" |
| }, |
| { |
| "lat": -38.02388, |
| "lon": 144.40617, |
| "name": "Lara" |
| }, |
| { |
| "lat": 51.33678, |
| "lon": -0.11201, |
| "name": "Purley" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Yarraville, Pukekohe East, New Plymouth, Lara, Purley?", |
| "ground_truth": { |
| "answer": "Purley", |
| "outlier_distance_km": 14334.6, |
| "second_furthest_km": 4928.9, |
| "clarity_ratio": 2.91, |
| "median_distance_km": 4891.7, |
| "distances_to_centroid": { |
| "Yarraville": 2574.1, |
| "Pukekohe East": 4928.9, |
| "New Plymouth": 4891.7, |
| "Lara": 2560.2, |
| "Purley": 14334.6 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Yarraville: (-37.82°, 144.90°)", |
| " Pukekohe East: (-37.20°, 174.95°)", |
| " New Plymouth: (-39.07°, 174.08°)", |
| " Lara: (-38.02°, 144.41°)", |
| " Purley: (51.34°, -0.11°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Purley: 14334.6 km from centroid", |
| " Pukekohe East: 4928.9 km from centroid", |
| " New Plymouth: 4891.7 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Purley", |
| "FINAL ANSWER: Purley" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -36.93754, |
| "lon": 174.65584, |
| "name": "Titirangi" |
| }, |
| { |
| "lat": -41.43876, |
| "lon": 147.13467, |
| "name": "Launceston" |
| }, |
| { |
| "lat": -27.63917, |
| "lon": 153.10944, |
| "name": "Logan City" |
| }, |
| { |
| "lat": -37.81501, |
| "lon": 144.96657, |
| "name": "Melbourne City Centre" |
| }, |
| { |
| "lat": 35.64595, |
| "lon": 139.7155, |
| "name": "Ebisu" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Titirangi, Launceston, Logan City, Melbourne City Centre, Ebisu?", |
| "ground_truth": { |
| "answer": "Ebisu", |
| "outlier_distance_km": 6497.9, |
| "second_furthest_km": 2772.4, |
| "clarity_ratio": 2.34, |
| "median_distance_km": 2247.0, |
| "distances_to_centroid": { |
| "Titirangi": 2772.4, |
| "Launceston": 2247.0, |
| "Logan City": 678.2, |
| "Melbourne City Centre": 1918.4, |
| "Ebisu": 6497.9 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Titirangi: (-36.94°, 174.66°)", |
| " Launceston: (-41.44°, 147.13°)", |
| " Logan City: (-27.64°, 153.11°)", |
| " Melbourne City Centre: (-37.82°, 144.97°)", |
| " Ebisu: (35.65°, 139.72°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Ebisu: 6497.9 km from centroid", |
| " Titirangi: 2772.4 km from centroid", |
| " Launceston: 2247.0 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Ebisu", |
| "FINAL ANSWER: Ebisu" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -37.73333, |
| "lon": 144.8, |
| "name": "Saint Albans" |
| }, |
| { |
| "lat": -33.88834, |
| "lon": 151.12274, |
| "name": "Ashfield" |
| }, |
| { |
| "lat": -25.28762, |
| "lon": 152.76936, |
| "name": "Hervey Bay" |
| }, |
| { |
| "lat": -37.98333, |
| "lon": 145.2, |
| "name": "Dandenong" |
| }, |
| { |
| "lat": 41.82399, |
| "lon": -71.41283, |
| "name": "Providence" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Saint Albans, Ashfield, Hervey Bay, Dandenong, Providence?", |
| "ground_truth": { |
| "answer": "Providence", |
| "outlier_distance_km": 17405.3, |
| "second_furthest_km": 5007.8, |
| "clarity_ratio": 3.48, |
| "median_distance_km": 4902.7, |
| "distances_to_centroid": { |
| "Saint Albans": 4439.1, |
| "Ashfield": 4902.7, |
| "Hervey Bay": 5007.8, |
| "Dandenong": 4480.9, |
| "Providence": 17405.3 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Saint Albans: (-37.73°, 144.80°)", |
| " Ashfield: (-33.89°, 151.12°)", |
| " Hervey Bay: (-25.29°, 152.77°)", |
| " Dandenong: (-37.98°, 145.20°)", |
| " Providence: (41.82°, -71.41°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Providence: 17405.3 km from centroid", |
| " Hervey Bay: 5007.8 km from centroid", |
| " Ashfield: 4902.7 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Providence", |
| "FINAL ANSWER: Providence" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -37.65, |
| "lon": 145.03333, |
| "name": "Epping" |
| }, |
| { |
| "lat": -27.44187, |
| "lon": 152.93861, |
| "name": "The Gap" |
| }, |
| { |
| "lat": -38.07758, |
| "lon": 145.29871, |
| "name": "Cranbourne North" |
| }, |
| { |
| "lat": -26.68443, |
| "lon": 153.05705, |
| "name": "Buderim" |
| }, |
| { |
| "lat": 19.45229, |
| "lon": -96.96148, |
| "name": "Coatepec" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Epping, The Gap, Cranbourne North, Buderim, Coatepec?", |
| "ground_truth": { |
| "answer": "Coatepec", |
| "outlier_distance_km": 18241.5, |
| "second_furthest_km": 5373.0, |
| "clarity_ratio": 3.4, |
| "median_distance_km": 5352.1, |
| "distances_to_centroid": { |
| "Epping": 4633.7, |
| "The Gap": 5352.1, |
| "Cranbourne North": 4664.1, |
| "Buderim": 5373.0, |
| "Coatepec": 18241.5 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Epping: (-37.65°, 145.03°)", |
| " The Gap: (-27.44°, 152.94°)", |
| " Cranbourne North: (-38.08°, 145.30°)", |
| " Buderim: (-26.68°, 153.06°)", |
| " Coatepec: (19.45°, -96.96°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Coatepec: 18241.5 km from centroid", |
| " Buderim: 5373.0 km from centroid", |
| " The Gap: 5352.1 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Coatepec", |
| "FINAL ANSWER: Coatepec" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -34.03857, |
| "lon": 151.10005, |
| "name": "Miranda" |
| }, |
| { |
| "lat": -37.75, |
| "lon": 144.96667, |
| "name": "Coburg" |
| }, |
| { |
| "lat": -38.07018, |
| "lon": 145.47411, |
| "name": "Pakenham" |
| }, |
| { |
| "lat": -37.83634, |
| "lon": 144.65952, |
| "name": "Tarneit" |
| }, |
| { |
| "lat": 35.80167, |
| "lon": 128.50083, |
| "name": "Hwawŏn" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Miranda, Coburg, Pakenham, Tarneit, Hwawŏn?", |
| "ground_truth": { |
| "answer": "Hwawŏn", |
| "outlier_distance_km": 6645.5, |
| "second_furthest_km": 1761.5, |
| "clarity_ratio": 3.77, |
| "median_distance_km": 1726.7, |
| "distances_to_centroid": { |
| "Miranda": 1521.8, |
| "Coburg": 1720.2, |
| "Pakenham": 1761.5, |
| "Tarneit": 1726.7, |
| "Hwawŏn": 6645.5 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Miranda: (-34.04°, 151.10°)", |
| " Coburg: (-37.75°, 144.97°)", |
| " Pakenham: (-38.07°, 145.47°)", |
| " Tarneit: (-37.84°, 144.66°)", |
| " Hwawŏn: (35.80°, 128.50°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Hwawŏn: 6645.5 km from centroid", |
| " Pakenham: 1761.5 km from centroid", |
| " Tarneit: 1726.7 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Hwawŏn", |
| "FINAL ANSWER: Hwawŏn" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -33.79798, |
| "lon": 151.28826, |
| "name": "Manly" |
| }, |
| { |
| "lat": -33.79068, |
| "lon": 150.6693, |
| "name": "Glenmore Park" |
| }, |
| { |
| "lat": -21.15345, |
| "lon": 149.16554, |
| "name": "Mackay" |
| }, |
| { |
| "lat": -28.21298, |
| "lon": 153.53634, |
| "name": "Banora Point" |
| }, |
| { |
| "lat": -22.07889, |
| "lon": -54.78944, |
| "name": "Itaporã" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Manly, Glenmore Park, Mackay, Banora Point, Itaporã?", |
| "ground_truth": { |
| "answer": "Itaporã", |
| "outlier_distance_km": 14231.7, |
| "second_furthest_km": 4253.0, |
| "clarity_ratio": 3.35, |
| "median_distance_km": 4017.4, |
| "distances_to_centroid": { |
| "Manly": 3975.1, |
| "Glenmore Park": 3917.9, |
| "Mackay": 4017.4, |
| "Banora Point": 4253.0, |
| "Itaporã": 14231.7 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Manly: (-33.80°, 151.29°)", |
| " Glenmore Park: (-33.79°, 150.67°)", |
| " Mackay: (-21.15°, 149.17°)", |
| " Banora Point: (-28.21°, 153.54°)", |
| " Itaporã: (-22.08°, -54.79°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Itaporã: 14231.7 km from centroid", |
| " Banora Point: 4253.0 km from centroid", |
| " Mackay: 4017.4 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Itaporã", |
| "FINAL ANSWER: Itaporã" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -20.89611, |
| "lon": -51.37944, |
| "name": "Andradina" |
| }, |
| { |
| "lat": -37.15276, |
| "lon": -58.48838, |
| "name": "Ayacucho" |
| }, |
| { |
| "lat": -5.89056, |
| "lon": -38.62194, |
| "name": "Jaguaribe" |
| }, |
| { |
| "lat": -23.51, |
| "lon": -46.41566, |
| "name": "Vila Curuca" |
| }, |
| { |
| "lat": 42.69764, |
| "lon": 2.89541, |
| "name": "Perpignan" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Andradina, Ayacucho, Jaguaribe, Vila Curuca, Perpignan?", |
| "ground_truth": { |
| "answer": "Perpignan", |
| "outlier_distance_km": 7105.4, |
| "second_furthest_km": 3730.7, |
| "clarity_ratio": 1.9, |
| "median_distance_km": 1923.4, |
| "distances_to_centroid": { |
| "Andradina": 1923.4, |
| "Ayacucho": 3730.7, |
| "Jaguaribe": 341.1, |
| "Vila Curuca": 1829.7, |
| "Perpignan": 7105.4 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Andradina: (-20.90°, -51.38°)", |
| " Ayacucho: (-37.15°, -58.49°)", |
| " Jaguaribe: (-5.89°, -38.62°)", |
| " Vila Curuca: (-23.51°, -46.42°)", |
| " Perpignan: (42.70°, 2.90°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Perpignan: 7105.4 km from centroid", |
| " Ayacucho: 3730.7 km from centroid", |
| " Andradina: 1923.4 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Perpignan", |
| "FINAL ANSWER: Perpignan" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -33.7511, |
| "lon": 151.28886, |
| "name": "Dee Why" |
| }, |
| { |
| "lat": -37.73333, |
| "lon": 144.93333, |
| "name": "Pascoe Vale" |
| }, |
| { |
| "lat": -37.71667, |
| "lon": 145.0, |
| "name": "Reservoir" |
| }, |
| { |
| "lat": -33.79176, |
| "lon": 151.08057, |
| "name": "Eastwood" |
| }, |
| { |
| "lat": 42.37537, |
| "lon": -72.51925, |
| "name": "Amherst Center" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Dee Why, Pascoe Vale, Reservoir, Eastwood, Amherst Center?", |
| "ground_truth": { |
| "answer": "Amherst Center", |
| "outlier_distance_km": 17518.8, |
| "second_furthest_km": 4884.1, |
| "clarity_ratio": 3.59, |
| "median_distance_km": 4865.4, |
| "distances_to_centroid": { |
| "Dee Why": 4884.1, |
| "Pascoe Vale": 4396.6, |
| "Reservoir": 4401.8, |
| "Eastwood": 4865.4, |
| "Amherst Center": 17518.8 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Dee Why: (-33.75°, 151.29°)", |
| " Pascoe Vale: (-37.73°, 144.93°)", |
| " Reservoir: (-37.72°, 145.00°)", |
| " Eastwood: (-33.79°, 151.08°)", |
| " Amherst Center: (42.38°, -72.52°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Amherst Center: 17518.8 km from centroid", |
| " Dee Why: 4884.1 km from centroid", |
| " Eastwood: 4865.4 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Amherst Center", |
| "FINAL ANSWER: Amherst Center" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 46.8458, |
| "lon": -1.87942, |
| "name": "Challans" |
| }, |
| { |
| "lat": 55.7, |
| "lon": 37.46667, |
| "name": "Amin’yevo" |
| }, |
| { |
| "lat": 40.44682, |
| "lon": -3.70347, |
| "name": "Cuatro Caminos" |
| }, |
| { |
| "lat": 45.52569, |
| "lon": 4.87484, |
| "name": "Vienne" |
| }, |
| { |
| "lat": -38.1, |
| "lon": 145.13333, |
| "name": "Seaford" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Challans, Amin’yevo, Cuatro Caminos, Vienne, Seaford?", |
| "ground_truth": { |
| "answer": "Seaford", |
| "outlier_distance_km": 13553.1, |
| "second_furthest_km": 3780.8, |
| "clarity_ratio": 3.58, |
| "median_distance_km": 3765.0, |
| "distances_to_centroid": { |
| "Challans": 3765.0, |
| "Amin’yevo": 2849.7, |
| "Cuatro Caminos": 3780.8, |
| "Vienne": 3225.6, |
| "Seaford": 13553.1 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Challans: (46.85°, -1.88°)", |
| " Amin’yevo: (55.70°, 37.47°)", |
| " Cuatro Caminos: (40.45°, -3.70°)", |
| " Vienne: (45.53°, 4.87°)", |
| " Seaford: (-38.10°, 145.13°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Seaford: 13553.1 km from centroid", |
| " Cuatro Caminos: 3780.8 km from centroid", |
| " Challans: 3765.0 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Seaford", |
| "FINAL ANSWER: Seaford" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -35.4232, |
| "lon": -71.64974, |
| "name": "Talca" |
| }, |
| { |
| "lat": -13.07541, |
| "lon": -76.31719, |
| "name": "Nuevo Imperial" |
| }, |
| { |
| "lat": -7.54528, |
| "lon": -35.7075, |
| "name": "Aroeiras" |
| }, |
| { |
| "lat": -23.52508, |
| "lon": -46.63889, |
| "name": "Bom Retiro" |
| }, |
| { |
| "lat": 21.6, |
| "lon": 109.71667, |
| "name": "Shankou" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Talca, Nuevo Imperial, Aroeiras, Bom Retiro, Shankou?", |
| "ground_truth": { |
| "answer": "Shankou", |
| "outlier_distance_km": 14990.6, |
| "second_furthest_km": 5662.7, |
| "clarity_ratio": 2.65, |
| "median_distance_km": 5453.5, |
| "distances_to_centroid": { |
| "Talca": 5453.5, |
| "Nuevo Imperial": 5662.7, |
| "Aroeiras": 1347.7, |
| "Bom Retiro": 2725.1, |
| "Shankou": 14990.6 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Talca: (-35.42°, -71.65°)", |
| " Nuevo Imperial: (-13.08°, -76.32°)", |
| " Aroeiras: (-7.55°, -35.71°)", |
| " Bom Retiro: (-23.53°, -46.64°)", |
| " Shankou: (21.60°, 109.72°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Shankou: 14990.6 km from centroid", |
| " Nuevo Imperial: 5662.7 km from centroid", |
| " Talca: 5453.5 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Shankou", |
| "FINAL ANSWER: Shankou" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -37.96649, |
| "lon": 145.2081, |
| "name": "Dandenong North" |
| }, |
| { |
| "lat": -33.9205, |
| "lon": 151.25522, |
| "name": "Coogee" |
| }, |
| { |
| "lat": -37.70988, |
| "lon": 144.75483, |
| "name": "Taylors Hill" |
| }, |
| { |
| "lat": -27.96724, |
| "lon": 153.39796, |
| "name": "Southport" |
| }, |
| { |
| "lat": 7.15139, |
| "lon": 37.17184, |
| "name": "Tarch’a Sodo" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Dandenong North, Coogee, Taylors Hill, Southport, Tarch’a Sodo?", |
| "ground_truth": { |
| "answer": "Tarch’a Sodo", |
| "outlier_distance_km": 10275.7, |
| "second_furthest_km": 2681.2, |
| "clarity_ratio": 3.83, |
| "median_distance_km": 2543.0, |
| "distances_to_centroid": { |
| "Dandenong North": 2207.2, |
| "Coogee": 2543.0, |
| "Taylors Hill": 2158.3, |
| "Southport": 2681.2, |
| "Tarch’a Sodo": 10275.7 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Dandenong North: (-37.97°, 145.21°)", |
| " Coogee: (-33.92°, 151.26°)", |
| " Taylors Hill: (-37.71°, 144.75°)", |
| " Southport: (-27.97°, 153.40°)", |
| " Tarch’a Sodo: (7.15°, 37.17°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Tarch’a Sodo: 10275.7 km from centroid", |
| " Southport: 2681.2 km from centroid", |
| " Coogee: 2543.0 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Tarch’a Sodo", |
| "FINAL ANSWER: Tarch’a Sodo" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 49.76741, |
| "lon": -94.48985, |
| "name": "Kenora" |
| }, |
| { |
| "lat": 42.18169, |
| "lon": -87.80034, |
| "name": "Highland Park" |
| }, |
| { |
| "lat": 49.01667, |
| "lon": -123.08333, |
| "name": "Tsawwassen" |
| }, |
| { |
| "lat": 33.56504, |
| "lon": -117.72712, |
| "name": "Aliso Viejo" |
| }, |
| { |
| "lat": 12.91808, |
| "lon": 79.27756, |
| "name": "Vishāram" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Kenora, Highland Park, Tsawwassen, Aliso Viejo, Vishāram?", |
| "ground_truth": { |
| "answer": "Vishāram", |
| "outlier_distance_km": 13492.3, |
| "second_furthest_km": 4478.1, |
| "clarity_ratio": 3.01, |
| "median_distance_km": 4402.6, |
| "distances_to_centroid": { |
| "Kenora": 2460.7, |
| "Highland Park": 1702.8, |
| "Tsawwassen": 4478.1, |
| "Aliso Viejo": 4402.6, |
| "Vishāram": 13492.3 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Kenora: (49.77°, -94.49°)", |
| " Highland Park: (42.18°, -87.80°)", |
| " Tsawwassen: (49.02°, -123.08°)", |
| " Aliso Viejo: (33.57°, -117.73°)", |
| " Vishāram: (12.92°, 79.28°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Vishāram: 13492.3 km from centroid", |
| " Tsawwassen: 4478.1 km from centroid", |
| " Aliso Viejo: 4402.6 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Vishāram", |
| "FINAL ANSWER: Vishāram" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -34.92866, |
| "lon": 138.59863, |
| "name": "Adelaide" |
| }, |
| { |
| "lat": -37.68333, |
| "lon": 145.01667, |
| "name": "Thomastown" |
| }, |
| { |
| "lat": -34.92873, |
| "lon": 138.60334, |
| "name": "Adelaide city centre" |
| }, |
| { |
| "lat": -37.81667, |
| "lon": 144.9, |
| "name": "Yarraville" |
| }, |
| { |
| "lat": 31.31146, |
| "lon": 31.14766, |
| "name": "Al Ḩāmūl" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Adelaide, Thomastown, Adelaide city centre, Yarraville, Al Ḩāmūl?", |
| "ground_truth": { |
| "answer": "Al Ḩāmūl", |
| "outlier_distance_km": 11166.6, |
| "second_furthest_km": 2928.9, |
| "clarity_ratio": 3.81, |
| "median_distance_km": 2926.6, |
| "distances_to_centroid": { |
| "Adelaide": 2277.7, |
| "Thomastown": 2928.9, |
| "Adelaide city centre": 2278.1, |
| "Yarraville": 2926.6, |
| "Al Ḩāmūl": 11166.6 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Adelaide: (-34.93°, 138.60°)", |
| " Thomastown: (-37.68°, 145.02°)", |
| " Adelaide city centre: (-34.93°, 138.60°)", |
| " Yarraville: (-37.82°, 144.90°)", |
| " Al Ḩāmūl: (31.31°, 31.15°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Al Ḩāmūl: 11166.6 km from centroid", |
| " Thomastown: 2928.9 km from centroid", |
| " Yarraville: 2926.6 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Al Ḩāmūl", |
| "FINAL ANSWER: Al Ḩāmūl" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 4.39462, |
| "lon": -76.0715, |
| "name": "Zarzal" |
| }, |
| { |
| "lat": -9.335, |
| "lon": -50.35, |
| "name": "Santana do Araguaia" |
| }, |
| { |
| "lat": -34.57365, |
| "lon": -58.44924, |
| "name": "Colegiales" |
| }, |
| { |
| "lat": -16.08333, |
| "lon": -69.66667, |
| "name": "Ilave" |
| }, |
| { |
| "lat": -38.05916, |
| "lon": 145.40947, |
| "name": "Officer" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Zarzal, Santana do Araguaia, Colegiales, Ilave, Officer?", |
| "ground_truth": { |
| "answer": "Officer", |
| "outlier_distance_km": 13560.9, |
| "second_furthest_km": 6470.3, |
| "clarity_ratio": 2.1, |
| "median_distance_km": 5069.9, |
| "distances_to_centroid": { |
| "Zarzal": 6470.3, |
| "Santana do Araguaia": 3243.9, |
| "Colegiales": 4013.3, |
| "Ilave": 5069.9, |
| "Officer": 13560.9 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Zarzal: (4.39°, -76.07°)", |
| " Santana do Araguaia: (-9.34°, -50.35°)", |
| " Colegiales: (-34.57°, -58.45°)", |
| " Ilave: (-16.08°, -69.67°)", |
| " Officer: (-38.06°, 145.41°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Officer: 13560.9 km from centroid", |
| " Zarzal: 6470.3 km from centroid", |
| " Ilave: 5069.9 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Officer", |
| "FINAL ANSWER: Officer" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -2.04639, |
| "lon": -47.55056, |
| "name": "Mãe do Rio" |
| }, |
| { |
| "lat": -10.28139, |
| "lon": -37.01861, |
| "name": "Aquidabã" |
| }, |
| { |
| "lat": -35.6593, |
| "lon": -63.75787, |
| "name": "General Pico" |
| }, |
| { |
| "lat": -10.5075, |
| "lon": -39.01583, |
| "name": "Euclides da Cunha" |
| }, |
| { |
| "lat": 7.8275, |
| "lon": 123.4782, |
| "name": "Muricay" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Mãe do Rio, Aquidabã, General Pico, Euclides da Cunha, Muricay?", |
| "ground_truth": { |
| "answer": "Muricay", |
| "outlier_distance_km": 15206.6, |
| "second_furthest_km": 5859.3, |
| "clarity_ratio": 2.6, |
| "median_distance_km": 3945.1, |
| "distances_to_centroid": { |
| "Mãe do Rio": 3945.1, |
| "Aquidabã": 2652.7, |
| "General Pico": 5859.3, |
| "Euclides da Cunha": 2870.3, |
| "Muricay": 15206.6 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Mãe do Rio: (-2.05°, -47.55°)", |
| " Aquidabã: (-10.28°, -37.02°)", |
| " General Pico: (-35.66°, -63.76°)", |
| " Euclides da Cunha: (-10.51°, -39.02°)", |
| " Muricay: (7.83°, 123.48°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Muricay: 15206.6 km from centroid", |
| " General Pico: 5859.3 km from centroid", |
| " Mãe do Rio: 3945.1 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Muricay", |
| "FINAL ANSWER: Muricay" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 4.96531, |
| "lon": -73.91301, |
| "name": "Tocancipá" |
| }, |
| { |
| "lat": -23.66778, |
| "lon": -46.46139, |
| "name": "Mauá" |
| }, |
| { |
| "lat": -19.7625, |
| "lon": -44.31389, |
| "name": "Esmeraldas" |
| }, |
| { |
| "lat": -34.5627, |
| "lon": -58.45829, |
| "name": "Belgrano" |
| }, |
| { |
| "lat": 35.70749, |
| "lon": 139.7788, |
| "name": "Taito" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Tocancipá, Mauá, Esmeraldas, Belgrano, Taito?", |
| "ground_truth": { |
| "answer": "Taito", |
| "outlier_distance_km": 16065.3, |
| "second_furthest_km": 6499.0, |
| "clarity_ratio": 2.47, |
| "median_distance_km": 5221.4, |
| "distances_to_centroid": { |
| "Tocancipá": 6499.0, |
| "Mauá": 3650.5, |
| "Esmeraldas": 3277.6, |
| "Belgrano": 5221.4, |
| "Taito": 16065.3 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Tocancipá: (4.97°, -73.91°)", |
| " Mauá: (-23.67°, -46.46°)", |
| " Esmeraldas: (-19.76°, -44.31°)", |
| " Belgrano: (-34.56°, -58.46°)", |
| " Taito: (35.71°, 139.78°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Taito: 16065.3 km from centroid", |
| " Tocancipá: 6499.0 km from centroid", |
| " Belgrano: 5221.4 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Taito", |
| "FINAL ANSWER: Taito" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 1.6561, |
| "lon": 103.6032, |
| "name": "Kulai" |
| }, |
| { |
| "lat": 30.39759, |
| "lon": 107.3895, |
| "name": "Xinmin" |
| }, |
| { |
| "lat": 23.54109, |
| "lon": 74.4425, |
| "name": "Bānswāra" |
| }, |
| { |
| "lat": 17.89241, |
| "lon": 75.02138, |
| "name": "Aklūj" |
| }, |
| { |
| "lat": -37.74981, |
| "lon": 144.9109, |
| "name": "Essendon" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Kulai, Xinmin, Bānswāra, Aklūj, Essendon?", |
| "ground_truth": { |
| "answer": "Essendon", |
| "outlier_distance_km": 6747.0, |
| "second_furthest_km": 3376.2, |
| "clarity_ratio": 2.0, |
| "median_distance_km": 3064.5, |
| "distances_to_centroid": { |
| "Kulai": 671.9, |
| "Xinmin": 2667.9, |
| "Bānswāra": 3376.2, |
| "Aklūj": 3064.5, |
| "Essendon": 6747.0 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Kulai: (1.66°, 103.60°)", |
| " Xinmin: (30.40°, 107.39°)", |
| " Bānswāra: (23.54°, 74.44°)", |
| " Aklūj: (17.89°, 75.02°)", |
| " Essendon: (-37.75°, 144.91°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Essendon: 6747.0 km from centroid", |
| " Bānswāra: 3376.2 km from centroid", |
| " Aklūj: 3064.5 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Essendon", |
| "FINAL ANSWER: Essendon" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 40.8226, |
| "lon": -73.81958, |
| "name": "Throgs Neck" |
| }, |
| { |
| "lat": 42.26391, |
| "lon": -88.84427, |
| "name": "Belvidere" |
| }, |
| { |
| "lat": 35.41968, |
| "lon": -119.01955, |
| "name": "Oildale" |
| }, |
| { |
| "lat": 32.29785, |
| "lon": -110.9187, |
| "name": "Catalina Foothills" |
| }, |
| { |
| "lat": 28.92406, |
| "lon": 30.98544, |
| "name": "Bibā" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Throgs Neck, Belvidere, Oildale, Catalina Foothills, Bibā?", |
| "ground_truth": { |
| "answer": "Bibā", |
| "outlier_distance_km": 9236.1, |
| "second_furthest_km": 4176.5, |
| "clarity_ratio": 2.21, |
| "median_distance_km": 3552.8, |
| "distances_to_centroid": { |
| "Throgs Neck": 557.7, |
| "Belvidere": 1585.6, |
| "Oildale": 4176.5, |
| "Catalina Foothills": 3552.8, |
| "Bibā": 9236.1 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Throgs Neck: (40.82°, -73.82°)", |
| " Belvidere: (42.26°, -88.84°)", |
| " Oildale: (35.42°, -119.02°)", |
| " Catalina Foothills: (32.30°, -110.92°)", |
| " Bibā: (28.92°, 30.99°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Bibā: 9236.1 km from centroid", |
| " Oildale: 4176.5 km from centroid", |
| " Catalina Foothills: 3552.8 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Bibā", |
| "FINAL ANSWER: Bibā" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 18.26321, |
| "lon": 75.46316, |
| "name": "Paranda" |
| }, |
| { |
| "lat": 22.59373, |
| "lon": 75.29774, |
| "name": "Dhār" |
| }, |
| { |
| "lat": 14.905, |
| "lon": 76.38527, |
| "name": "Kūdligi" |
| }, |
| { |
| "lat": 18.85779, |
| "lon": 79.7956, |
| "name": "Chinnūr" |
| }, |
| { |
| "lat": 47.09621, |
| "lon": -122.35873, |
| "name": "Frederickson" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Paranda, Dhār, Kūdligi, Chinnūr, Frederickson?", |
| "ground_truth": { |
| "answer": "Frederickson", |
| "outlier_distance_km": 11803.5, |
| "second_furthest_km": 4457.8, |
| "clarity_ratio": 2.65, |
| "median_distance_km": 4249.3, |
| "distances_to_centroid": { |
| "Paranda": 4037.2, |
| "Dhār": 3907.3, |
| "Kūdligi": 4249.3, |
| "Chinnūr": 4457.8, |
| "Frederickson": 11803.5 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Paranda: (18.26°, 75.46°)", |
| " Dhār: (22.59°, 75.30°)", |
| " Kūdligi: (14.90°, 76.39°)", |
| " Chinnūr: (18.86°, 79.80°)", |
| " Frederickson: (47.10°, -122.36°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Frederickson: 11803.5 km from centroid", |
| " Chinnūr: 4457.8 km from centroid", |
| " Kūdligi: 4249.3 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Frederickson", |
| "FINAL ANSWER: Frederickson" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 52.2, |
| "lon": 8.63333, |
| "name": "Kirchlengern" |
| }, |
| { |
| "lat": 43.68374, |
| "lon": 43.53507, |
| "name": "Baksan" |
| }, |
| { |
| "lat": 58.19077, |
| "lon": 40.17081, |
| "name": "Danilov" |
| }, |
| { |
| "lat": 38.03922, |
| "lon": -4.05077, |
| "name": "Andújar" |
| }, |
| { |
| "lat": 40.06928, |
| "lon": -75.16629, |
| "name": "West Oak Lane" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Kirchlengern, Baksan, Danilov, Andújar, West Oak Lane?", |
| "ground_truth": { |
| "answer": "West Oak Lane", |
| "outlier_distance_km": 6081.4, |
| "second_furthest_km": 3191.8, |
| "clarity_ratio": 1.91, |
| "median_distance_km": 2817.6, |
| "distances_to_centroid": { |
| "Kirchlengern": 774.3, |
| "Baksan": 3191.8, |
| "Danilov": 2817.6, |
| "Andújar": 1082.5, |
| "West Oak Lane": 6081.4 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Kirchlengern: (52.20°, 8.63°)", |
| " Baksan: (43.68°, 43.54°)", |
| " Danilov: (58.19°, 40.17°)", |
| " Andújar: (38.04°, -4.05°)", |
| " West Oak Lane: (40.07°, -75.17°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " West Oak Lane: 6081.4 km from centroid", |
| " Baksan: 3191.8 km from centroid", |
| " Danilov: 2817.6 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: West Oak Lane", |
| "FINAL ANSWER: West Oak Lane" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -27.49325, |
| "lon": 153.05826, |
| "name": "Coorparoo" |
| }, |
| { |
| "lat": -41.26667, |
| "lon": 174.95, |
| "name": "Wainuiomata" |
| }, |
| { |
| "lat": -36.9482, |
| "lon": 174.87019, |
| "name": "Otara" |
| }, |
| { |
| "lat": -38.03333, |
| "lon": 145.25, |
| "name": "Hampton Park" |
| }, |
| { |
| "lat": 43.44775, |
| "lon": 3.75524, |
| "name": "Frontignan" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Coorparoo, Wainuiomata, Otara, Hampton Park, Frontignan?", |
| "ground_truth": { |
| "answer": "Frontignan", |
| "outlier_distance_km": 14454.4, |
| "second_furthest_km": 4801.7, |
| "clarity_ratio": 3.01, |
| "median_distance_km": 4684.3, |
| "distances_to_centroid": { |
| "Coorparoo": 2446.8, |
| "Wainuiomata": 4801.7, |
| "Otara": 4684.3, |
| "Hampton Park": 2459.5, |
| "Frontignan": 14454.4 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Coorparoo: (-27.49°, 153.06°)", |
| " Wainuiomata: (-41.27°, 174.95°)", |
| " Otara: (-36.95°, 174.87°)", |
| " Hampton Park: (-38.03°, 145.25°)", |
| " Frontignan: (43.45°, 3.76°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Frontignan: 14454.4 km from centroid", |
| " Wainuiomata: 4801.7 km from centroid", |
| " Otara: 4684.3 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Frontignan", |
| "FINAL ANSWER: Frontignan" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 15.76983, |
| "lon": 76.75581, |
| "name": "Sindhnūr" |
| }, |
| { |
| "lat": 36.01839, |
| "lon": 139.66034, |
| "name": "Shiraoka" |
| }, |
| { |
| "lat": 30.32443, |
| "lon": 78.03392, |
| "name": "Dehra Dūn" |
| }, |
| { |
| "lat": 35.46028, |
| "lon": 110.42917, |
| "name": "Hancheng" |
| }, |
| { |
| "lat": 31.72294, |
| "lon": -116.57196, |
| "name": "Rodolfo Sánchez Taboada" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Sindhnūr, Shiraoka, Dehra Dūn, Hancheng, Rodolfo Sánchez Taboada?", |
| "ground_truth": { |
| "answer": "Rodolfo Sánchez Taboada", |
| "outlier_distance_km": 13140.5, |
| "second_furthest_km": 7452.3, |
| "clarity_ratio": 1.76, |
| "median_distance_km": 4921.0, |
| "distances_to_centroid": { |
| "Sindhnūr": 2499.9, |
| "Shiraoka": 7452.3, |
| "Dehra Dūn": 1958.1, |
| "Hancheng": 4921.0, |
| "Rodolfo Sánchez Taboada": 13140.5 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Sindhnūr: (15.77°, 76.76°)", |
| " Shiraoka: (36.02°, 139.66°)", |
| " Dehra Dūn: (30.32°, 78.03°)", |
| " Hancheng: (35.46°, 110.43°)", |
| " Rodolfo Sánchez Taboada: (31.72°, -116.57°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Rodolfo Sánchez Taboada: 13140.5 km from centroid", |
| " Shiraoka: 7452.3 km from centroid", |
| " Hancheng: 4921.0 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Rodolfo Sánchez Taboada", |
| "FINAL ANSWER: Rodolfo Sánchez Taboada" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -30.50123, |
| "lon": 151.66553, |
| "name": "Armidale" |
| }, |
| { |
| "lat": -37.8, |
| "lon": 144.96667, |
| "name": "Carlton" |
| }, |
| { |
| "lat": -27.96724, |
| "lon": 153.39796, |
| "name": "Southport" |
| }, |
| { |
| "lat": -38.11531, |
| "lon": 145.29814, |
| "name": "Cranbourne East" |
| }, |
| { |
| "lat": 41.77976, |
| "lon": -87.64588, |
| "name": "Englewood" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Armidale, Carlton, Southport, Cranbourne East, Englewood?", |
| "ground_truth": { |
| "answer": "Englewood", |
| "outlier_distance_km": 17286.3, |
| "second_furthest_km": 5362.8, |
| "clarity_ratio": 3.22, |
| "median_distance_km": 5200.2, |
| "distances_to_centroid": { |
| "Armidale": 5200.2, |
| "Carlton": 4711.5, |
| "Southport": 5362.8, |
| "Cranbourne East": 4748.5, |
| "Englewood": 17286.3 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Armidale: (-30.50°, 151.67°)", |
| " Carlton: (-37.80°, 144.97°)", |
| " Southport: (-27.97°, 153.40°)", |
| " Cranbourne East: (-38.12°, 145.30°)", |
| " Englewood: (41.78°, -87.65°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Englewood: 17286.3 km from centroid", |
| " Southport: 5362.8 km from centroid", |
| " Armidale: 5200.2 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Englewood", |
| "FINAL ANSWER: Englewood" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -32.23013, |
| "lon": 115.78128, |
| "name": "Kwinana" |
| }, |
| { |
| "lat": -37.8676, |
| "lon": 144.98099, |
| "name": "Saint Kilda" |
| }, |
| { |
| "lat": -33.2792, |
| "lon": 115.71504, |
| "name": "Australind" |
| }, |
| { |
| "lat": -36.88158, |
| "lon": 174.76204, |
| "name": "Mount Eden" |
| }, |
| { |
| "lat": -3.22028, |
| "lon": -45.00361, |
| "name": "Viana" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Kwinana, Saint Kilda, Australind, Mount Eden, Viana?", |
| "ground_truth": { |
| "answer": "Viana", |
| "outlier_distance_km": 14958.6, |
| "second_furthest_km": 6764.9, |
| "clarity_ratio": 2.21, |
| "median_distance_km": 4151.6, |
| "distances_to_centroid": { |
| "Kwinana": 1446.0, |
| "Saint Kilda": 4151.6, |
| "Australind": 1468.7, |
| "Mount Eden": 6764.9, |
| "Viana": 14958.6 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Kwinana: (-32.23°, 115.78°)", |
| " Saint Kilda: (-37.87°, 144.98°)", |
| " Australind: (-33.28°, 115.72°)", |
| " Mount Eden: (-36.88°, 174.76°)", |
| " Viana: (-3.22°, -45.00°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Viana: 14958.6 km from centroid", |
| " Mount Eden: 6764.9 km from centroid", |
| " Saint Kilda: 4151.6 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Viana", |
| "FINAL ANSWER: Viana" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 44.86136, |
| "lon": -92.62381, |
| "name": "River Falls" |
| }, |
| { |
| "lat": 37.08339, |
| "lon": -88.60005, |
| "name": "Paducah" |
| }, |
| { |
| "lat": 19.25465, |
| "lon": -99.10356, |
| "name": "Xochimilco" |
| }, |
| { |
| "lat": 43.90012, |
| "lon": -78.84957, |
| "name": "Oshawa" |
| }, |
| { |
| "lat": 11.49984, |
| "lon": 76.48152, |
| "name": "Kollivāyal" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: River Falls, Paducah, Xochimilco, Oshawa, Kollivāyal?", |
| "ground_truth": { |
| "answer": "Kollivāyal", |
| "outlier_distance_km": 13106.8, |
| "second_furthest_km": 4454.1, |
| "clarity_ratio": 2.94, |
| "median_distance_km": 3461.1, |
| "distances_to_centroid": { |
| "River Falls": 3461.1, |
| "Paducah": 3002.3, |
| "Xochimilco": 4454.1, |
| "Oshawa": 2399.5, |
| "Kollivāyal": 13106.8 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " River Falls: (44.86°, -92.62°)", |
| " Paducah: (37.08°, -88.60°)", |
| " Xochimilco: (19.25°, -99.10°)", |
| " Oshawa: (43.90°, -78.85°)", |
| " Kollivāyal: (11.50°, 76.48°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Kollivāyal: 13106.8 km from centroid", |
| " Xochimilco: 4454.1 km from centroid", |
| " River Falls: 3461.1 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Kollivāyal", |
| "FINAL ANSWER: Kollivāyal" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -13.07127, |
| "lon": -55.91479, |
| "name": "Lucas do Rio Verde" |
| }, |
| { |
| "lat": -5.0925, |
| "lon": -80.1625, |
| "name": "Chulucanas" |
| }, |
| { |
| "lat": -3.22083, |
| "lon": -64.80417, |
| "name": "Alvarães" |
| }, |
| { |
| "lat": -23.10417, |
| "lon": -55.22583, |
| "name": "Amambai" |
| }, |
| { |
| "lat": 38.70144, |
| "lon": -90.14872, |
| "name": "Granite City" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Lucas do Rio Verde, Chulucanas, Alvarães, Amambai, Granite City?", |
| "ground_truth": { |
| "answer": "Granite City", |
| "outlier_distance_km": 4920.4, |
| "second_furthest_km": 2871.8, |
| "clarity_ratio": 1.71, |
| "median_distance_km": 1977.9, |
| "distances_to_centroid": { |
| "Lucas do Rio Verde": 1977.9, |
| "Chulucanas": 1287.8, |
| "Alvarães": 544.8, |
| "Amambai": 2871.8, |
| "Granite City": 4920.4 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Lucas do Rio Verde: (-13.07°, -55.91°)", |
| " Chulucanas: (-5.09°, -80.16°)", |
| " Alvarães: (-3.22°, -64.80°)", |
| " Amambai: (-23.10°, -55.23°)", |
| " Granite City: (38.70°, -90.15°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Granite City: 4920.4 km from centroid", |
| " Amambai: 2871.8 km from centroid", |
| " Lucas do Rio Verde: 1977.9 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Granite City", |
| "FINAL ANSWER: Granite City" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 45.51314, |
| "lon": 9.14343, |
| "name": "Quarto Oggiaro" |
| }, |
| { |
| "lat": 46.06251, |
| "lon": 6.57497, |
| "name": "Cluses" |
| }, |
| { |
| "lat": 51.31889, |
| "lon": -2.20861, |
| "name": "Trowbridge" |
| }, |
| { |
| "lat": 43.34122, |
| "lon": 3.21402, |
| "name": "Béziers" |
| }, |
| { |
| "lat": 6.78611, |
| "lon": 125.21333, |
| "name": "Bansalan" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Quarto Oggiaro, Cluses, Trowbridge, Béziers, Bansalan?", |
| "ground_truth": { |
| "answer": "Bansalan", |
| "outlier_distance_km": 10125.4, |
| "second_furthest_km": 2762.1, |
| "clarity_ratio": 3.67, |
| "median_distance_km": 2169.0, |
| "distances_to_centroid": { |
| "Quarto Oggiaro": 1758.7, |
| "Cluses": 1967.0, |
| "Trowbridge": 2762.1, |
| "Béziers": 2169.0, |
| "Bansalan": 10125.4 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Quarto Oggiaro: (45.51°, 9.14°)", |
| " Cluses: (46.06°, 6.57°)", |
| " Trowbridge: (51.32°, -2.21°)", |
| " Béziers: (43.34°, 3.21°)", |
| " Bansalan: (6.79°, 125.21°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Bansalan: 10125.4 km from centroid", |
| " Trowbridge: 2762.1 km from centroid", |
| " Béziers: 2169.0 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Bansalan", |
| "FINAL ANSWER: Bansalan" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -9.805, |
| "lon": -37.68444, |
| "name": "Poço Redondo" |
| }, |
| { |
| "lat": -8.41889, |
| "lon": -37.05389, |
| "name": "Arcoverde" |
| }, |
| { |
| "lat": -33.67571, |
| "lon": -65.45783, |
| "name": "Villa Mercedes" |
| }, |
| { |
| "lat": -33.14091, |
| "lon": -59.31257, |
| "name": "Gualeguay" |
| }, |
| { |
| "lat": 31.81667, |
| "lon": 130.3, |
| "name": "Sendai" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Poço Redondo, Arcoverde, Villa Mercedes, Gualeguay, Sendai?", |
| "ground_truth": { |
| "answer": "Sendai", |
| "outlier_distance_km": 15649.0, |
| "second_furthest_km": 5825.7, |
| "clarity_ratio": 2.69, |
| "median_distance_km": 5260.2, |
| "distances_to_centroid": { |
| "Poço Redondo": 2610.1, |
| "Arcoverde": 2556.8, |
| "Villa Mercedes": 5825.7, |
| "Gualeguay": 5260.2, |
| "Sendai": 15649.0 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Poço Redondo: (-9.80°, -37.68°)", |
| " Arcoverde: (-8.42°, -37.05°)", |
| " Villa Mercedes: (-33.68°, -65.46°)", |
| " Gualeguay: (-33.14°, -59.31°)", |
| " Sendai: (31.82°, 130.30°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Sendai: 15649.0 km from centroid", |
| " Villa Mercedes: 5825.7 km from centroid", |
| " Gualeguay: 5260.2 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Sendai", |
| "FINAL ANSWER: Sendai" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -26.39022, |
| "lon": -70.04556, |
| "name": "Diego de Almagro" |
| }, |
| { |
| "lat": -2.90472, |
| "lon": -41.77667, |
| "name": "Parnaíba" |
| }, |
| { |
| "lat": -23.87389, |
| "lon": -49.80278, |
| "name": "Wenceslau Braz" |
| }, |
| { |
| "lat": -23.2325, |
| "lon": -51.66556, |
| "name": "Astorga" |
| }, |
| { |
| "lat": 51.18459, |
| "lon": 6.81249, |
| "name": "Wersten" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Diego de Almagro, Parnaíba, Wenceslau Braz, Astorga, Wersten?", |
| "ground_truth": { |
| "answer": "Wersten", |
| "outlier_distance_km": 7740.2, |
| "second_furthest_km": 3866.8, |
| "clarity_ratio": 2.0, |
| "median_distance_km": 2308.3, |
| "distances_to_centroid": { |
| "Diego de Almagro": 3866.8, |
| "Parnaíba": 243.7, |
| "Wenceslau Braz": 2283.4, |
| "Astorga": 2308.3, |
| "Wersten": 7740.2 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Diego de Almagro: (-26.39°, -70.05°)", |
| " Parnaíba: (-2.90°, -41.78°)", |
| " Wenceslau Braz: (-23.87°, -49.80°)", |
| " Astorga: (-23.23°, -51.67°)", |
| " Wersten: (51.18°, 6.81°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Wersten: 7740.2 km from centroid", |
| " Diego de Almagro: 3866.8 km from centroid", |
| " Astorga: 2308.3 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Wersten", |
| "FINAL ANSWER: Wersten" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 26.20437, |
| "lon": 127.75267, |
| "name": "Yonabaru" |
| }, |
| { |
| "lat": 37.5986, |
| "lon": 127.1394, |
| "name": "Guri-si" |
| }, |
| { |
| "lat": 11.02427, |
| "lon": 77.12565, |
| "name": "Sulur" |
| }, |
| { |
| "lat": 9.65556, |
| "lon": 123.85219, |
| "name": "Tagbilaran City" |
| }, |
| { |
| "lat": 37.26383, |
| "lon": -122.02301, |
| "name": "Saratoga" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Yonabaru, Guri-si, Sulur, Tagbilaran City, Saratoga?", |
| "ground_truth": { |
| "answer": "Saratoga", |
| "outlier_distance_km": 13102.5, |
| "second_furthest_km": 6242.0, |
| "clarity_ratio": 2.1, |
| "median_distance_km": 6076.9, |
| "distances_to_centroid": { |
| "Yonabaru": 6076.9, |
| "Guri-si": 5840.4, |
| "Sulur": 1841.6, |
| "Tagbilaran City": 6242.0, |
| "Saratoga": 13102.5 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Yonabaru: (26.20°, 127.75°)", |
| " Guri-si: (37.60°, 127.14°)", |
| " Sulur: (11.02°, 77.13°)", |
| " Tagbilaran City: (9.66°, 123.85°)", |
| " Saratoga: (37.26°, -122.02°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Saratoga: 13102.5 km from centroid", |
| " Tagbilaran City: 6242.0 km from centroid", |
| " Yonabaru: 6076.9 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Saratoga", |
| "FINAL ANSWER: Saratoga" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 48.0021, |
| "lon": 0.20251, |
| "name": "Le Mans" |
| }, |
| { |
| "lat": 51.5824, |
| "lon": -0.09956, |
| "name": "Harringay" |
| }, |
| { |
| "lat": 37.64442, |
| "lon": 14.86685, |
| "name": "Biancavilla" |
| }, |
| { |
| "lat": 45.67574, |
| "lon": 9.23723, |
| "name": "Carate Brianza" |
| }, |
| { |
| "lat": 27.06193, |
| "lon": -101.54891, |
| "name": "San Buenaventura" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Le Mans, Harringay, Biancavilla, Carate Brianza, San Buenaventura?", |
| "ground_truth": { |
| "answer": "San Buenaventura", |
| "outlier_distance_km": 7732.0, |
| "second_furthest_km": 2621.3, |
| "clarity_ratio": 2.95, |
| "median_distance_km": 2015.0, |
| "distances_to_centroid": { |
| "Le Mans": 1398.0, |
| "Harringay": 1577.2, |
| "Biancavilla": 2621.3, |
| "Carate Brianza": 2015.0, |
| "San Buenaventura": 7732.0 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Le Mans: (48.00°, 0.20°)", |
| " Harringay: (51.58°, -0.10°)", |
| " Biancavilla: (37.64°, 14.87°)", |
| " Carate Brianza: (45.68°, 9.24°)", |
| " San Buenaventura: (27.06°, -101.55°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " San Buenaventura: 7732.0 km from centroid", |
| " Biancavilla: 2621.3 km from centroid", |
| " Carate Brianza: 2015.0 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: San Buenaventura", |
| "FINAL ANSWER: San Buenaventura" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 50.11667, |
| "lon": 8.83333, |
| "name": "Mühlheim am Main" |
| }, |
| { |
| "lat": 49.74657, |
| "lon": 8.11513, |
| "name": "Alzey" |
| }, |
| { |
| "lat": 53.91887, |
| "lon": 10.69691, |
| "name": "Bad Schwartau" |
| }, |
| { |
| "lat": 55.83116, |
| "lon": -3.22608, |
| "name": "Penicuik" |
| }, |
| { |
| "lat": 30.31269, |
| "lon": 31.32018, |
| "name": "Shibīn al Qanāţir" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Mühlheim am Main, Alzey, Bad Schwartau, Penicuik, Shibīn al Qanāţir?", |
| "ground_truth": { |
| "answer": "Shibīn al Qanāţir", |
| "outlier_distance_km": 2608.2, |
| "second_furthest_km": 1312.0, |
| "clarity_ratio": 1.99, |
| "median_distance_km": 660.5, |
| "distances_to_centroid": { |
| "Mühlheim am Main": 290.9, |
| "Alzey": 295.9, |
| "Bad Schwartau": 660.5, |
| "Penicuik": 1312.0, |
| "Shibīn al Qanāţir": 2608.2 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Mühlheim am Main: (50.12°, 8.83°)", |
| " Alzey: (49.75°, 8.12°)", |
| " Bad Schwartau: (53.92°, 10.70°)", |
| " Penicuik: (55.83°, -3.23°)", |
| " Shibīn al Qanāţir: (30.31°, 31.32°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Shibīn al Qanāţir: 2608.2 km from centroid", |
| " Penicuik: 1312.0 km from centroid", |
| " Bad Schwartau: 660.5 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Shibīn al Qanāţir", |
| "FINAL ANSWER: Shibīn al Qanāţir" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 33.6103, |
| "lon": -117.72533, |
| "name": "Laguna Woods" |
| }, |
| { |
| "lat": 17.17291, |
| "lon": -92.33392, |
| "name": "Yajalón" |
| }, |
| { |
| "lat": 21.35087, |
| "lon": -97.68656, |
| "name": "Naranjos" |
| }, |
| { |
| "lat": 33.04623, |
| "lon": -96.99417, |
| "name": "Lewisville" |
| }, |
| { |
| "lat": -37.71667, |
| "lon": 145.0, |
| "name": "Reservoir" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Laguna Woods, Yajalón, Naranjos, Lewisville, Reservoir?", |
| "ground_truth": { |
| "answer": "Reservoir", |
| "outlier_distance_km": 16842.4, |
| "second_furthest_km": 6952.1, |
| "clarity_ratio": 2.42, |
| "median_distance_km": 5039.5, |
| "distances_to_centroid": { |
| "Laguna Woods": 6952.1, |
| "Yajalón": 4342.7, |
| "Naranjos": 4913.6, |
| "Lewisville": 5039.5, |
| "Reservoir": 16842.4 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Laguna Woods: (33.61°, -117.73°)", |
| " Yajalón: (17.17°, -92.33°)", |
| " Naranjos: (21.35°, -97.69°)", |
| " Lewisville: (33.05°, -96.99°)", |
| " Reservoir: (-37.72°, 145.00°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Reservoir: 16842.4 km from centroid", |
| " Laguna Woods: 6952.1 km from centroid", |
| " Lewisville: 5039.5 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Reservoir", |
| "FINAL ANSWER: Reservoir" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 50.35357, |
| "lon": 7.57883, |
| "name": "Koblenz" |
| }, |
| { |
| "lat": 51.34948, |
| "lon": -0.2494, |
| "name": "Ewell" |
| }, |
| { |
| "lat": 52.00667, |
| "lon": 4.35556, |
| "name": "Delft" |
| }, |
| { |
| "lat": 48.89198, |
| "lon": 2.20675, |
| "name": "Nanterre" |
| }, |
| { |
| "lat": -27.66757, |
| "lon": 152.92488, |
| "name": "Springfield Lakes" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Koblenz, Ewell, Delft, Nanterre, Springfield Lakes?", |
| "ground_truth": { |
| "answer": "Springfield Lakes", |
| "outlier_distance_km": 14302.5, |
| "second_furthest_km": 3233.6, |
| "clarity_ratio": 4.42, |
| "median_distance_km": 2975.0, |
| "distances_to_centroid": { |
| "Koblenz": 2689.6, |
| "Ewell": 3233.6, |
| "Delft": 2975.0, |
| "Nanterre": 2974.2, |
| "Springfield Lakes": 14302.5 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Koblenz: (50.35°, 7.58°)", |
| " Ewell: (51.35°, -0.25°)", |
| " Delft: (52.01°, 4.36°)", |
| " Nanterre: (48.89°, 2.21°)", |
| " Springfield Lakes: (-27.67°, 152.92°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Springfield Lakes: 14302.5 km from centroid", |
| " Ewell: 3233.6 km from centroid", |
| " Delft: 2975.0 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Springfield Lakes", |
| "FINAL ANSWER: Springfield Lakes" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -14.43167, |
| "lon": -54.05111, |
| "name": "Paranatinga" |
| }, |
| { |
| "lat": -25.32472, |
| "lon": -49.31, |
| "name": "Almirante Tamandaré" |
| }, |
| { |
| "lat": -9.74583, |
| "lon": -41.88528, |
| "name": "Sento Sé" |
| }, |
| { |
| "lat": -20.53861, |
| "lon": -47.40083, |
| "name": "Franca" |
| }, |
| { |
| "lat": 40.79677, |
| "lon": -74.48154, |
| "name": "Morristown" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Paranatinga, Almirante Tamandaré, Sento Sé, Franca, Morristown?", |
| "ground_truth": { |
| "answer": "Morristown", |
| "outlier_distance_km": 5614.1, |
| "second_furthest_km": 2209.5, |
| "clarity_ratio": 2.54, |
| "median_distance_km": 1758.1, |
| "distances_to_centroid": { |
| "Paranatinga": 956.8, |
| "Almirante Tamandaré": 2209.5, |
| "Sento Sé": 1342.9, |
| "Franca": 1758.1, |
| "Morristown": 5614.1 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Paranatinga: (-14.43°, -54.05°)", |
| " Almirante Tamandaré: (-25.32°, -49.31°)", |
| " Sento Sé: (-9.75°, -41.89°)", |
| " Franca: (-20.54°, -47.40°)", |
| " Morristown: (40.80°, -74.48°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Morristown: 5614.1 km from centroid", |
| " Almirante Tamandaré: 2209.5 km from centroid", |
| " Franca: 1758.1 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Morristown", |
| "FINAL ANSWER: Morristown" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 43.78609, |
| "lon": -79.33502, |
| "name": "Pleasant View" |
| }, |
| { |
| "lat": 30.31188, |
| "lon": -95.45605, |
| "name": "Conroe" |
| }, |
| { |
| "lat": 45.42067, |
| "lon": -122.67065, |
| "name": "Lake Oswego" |
| }, |
| { |
| "lat": 35.26266, |
| "lon": -77.58164, |
| "name": "Kinston" |
| }, |
| { |
| "lat": -37.8, |
| "lon": 144.96667, |
| "name": "Carlton" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Pleasant View, Conroe, Lake Oswego, Kinston, Carlton?", |
| "ground_truth": { |
| "answer": "Carlton", |
| "outlier_distance_km": 18102.7, |
| "second_furthest_km": 7164.9, |
| "clarity_ratio": 2.53, |
| "median_distance_km": 4926.8, |
| "distances_to_centroid": { |
| "Pleasant View": 3787.6, |
| "Conroe": 4926.8, |
| "Lake Oswego": 7164.9, |
| "Kinston": 3313.8, |
| "Carlton": 18102.7 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Pleasant View: (43.79°, -79.34°)", |
| " Conroe: (30.31°, -95.46°)", |
| " Lake Oswego: (45.42°, -122.67°)", |
| " Kinston: (35.26°, -77.58°)", |
| " Carlton: (-37.80°, 144.97°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Carlton: 18102.7 km from centroid", |
| " Lake Oswego: 7164.9 km from centroid", |
| " Conroe: 4926.8 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Carlton", |
| "FINAL ANSWER: Carlton" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -12.54667, |
| "lon": -38.71194, |
| "name": "Santo Amaro" |
| }, |
| { |
| "lat": 7.83389, |
| "lon": -72.47417, |
| "name": "Villa del Rosario" |
| }, |
| { |
| "lat": -27.69934, |
| "lon": -48.53219, |
| "name": "Ribeirão da Ilha" |
| }, |
| { |
| "lat": -23.62623, |
| "lon": -46.72828, |
| "name": "Vila Andrade" |
| }, |
| { |
| "lat": 2.2152, |
| "lon": 102.2851, |
| "name": "Kampung Bukit Baharu" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Santo Amaro, Villa del Rosario, Ribeirão da Ilha, Vila Andrade, Kampung Bukit Baharu?", |
| "ground_truth": { |
| "answer": "Kampung Bukit Baharu", |
| "outlier_distance_km": 13668.8, |
| "second_furthest_km": 6077.3, |
| "clarity_ratio": 2.25, |
| "median_distance_km": 3449.7, |
| "distances_to_centroid": { |
| "Santo Amaro": 1956.8, |
| "Villa del Rosario": 6077.3, |
| "Ribeirão da Ilha": 3449.7, |
| "Vila Andrade": 3091.9, |
| "Kampung Bukit Baharu": 13668.8 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Santo Amaro: (-12.55°, -38.71°)", |
| " Villa del Rosario: (7.83°, -72.47°)", |
| " Ribeirão da Ilha: (-27.70°, -48.53°)", |
| " Vila Andrade: (-23.63°, -46.73°)", |
| " Kampung Bukit Baharu: (2.22°, 102.29°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Kampung Bukit Baharu: 13668.8 km from centroid", |
| " Villa del Rosario: 6077.3 km from centroid", |
| " Ribeirão da Ilha: 3449.7 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Kampung Bukit Baharu", |
| "FINAL ANSWER: Kampung Bukit Baharu" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -37.73333, |
| "lon": 144.8, |
| "name": "Saint Albans" |
| }, |
| { |
| "lat": -33.7457, |
| "lon": 151.04764, |
| "name": "West Pennant Hills" |
| }, |
| { |
| "lat": -37.75405, |
| "lon": 145.14864, |
| "name": "Templestowe" |
| }, |
| { |
| "lat": -37.82289, |
| "lon": 147.61041, |
| "name": "Bairnsdale" |
| }, |
| { |
| "lat": 53.8426, |
| "lon": -1.63754, |
| "name": "Horsforth" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Saint Albans, West Pennant Hills, Templestowe, Bairnsdale, Horsforth?", |
| "ground_truth": { |
| "answer": "Horsforth", |
| "outlier_distance_km": 13561.9, |
| "second_furthest_km": 3730.5, |
| "clarity_ratio": 3.64, |
| "median_distance_km": 3620.9, |
| "distances_to_centroid": { |
| "Saint Albans": 3400.6, |
| "West Pennant Hills": 3730.5, |
| "Templestowe": 3428.1, |
| "Bairnsdale": 3620.9, |
| "Horsforth": 13561.9 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Saint Albans: (-37.73°, 144.80°)", |
| " West Pennant Hills: (-33.75°, 151.05°)", |
| " Templestowe: (-37.75°, 145.15°)", |
| " Bairnsdale: (-37.82°, 147.61°)", |
| " Horsforth: (53.84°, -1.64°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Horsforth: 13561.9 km from centroid", |
| " West Pennant Hills: 3730.5 km from centroid", |
| " Bairnsdale: 3620.9 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Horsforth", |
| "FINAL ANSWER: Horsforth" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 51.12056, |
| "lon": 17.03761, |
| "name": "Rejon placu Świętego Macieja" |
| }, |
| { |
| "lat": 48.8162, |
| "lon": 2.31393, |
| "name": "Montrouge" |
| }, |
| { |
| "lat": 52.51108, |
| "lon": 4.67165, |
| "name": "Heemskerk" |
| }, |
| { |
| "lat": 36.82145, |
| "lon": 14.95132, |
| "name": "Rosolini" |
| }, |
| { |
| "lat": -25.44141, |
| "lon": 27.51114, |
| "name": "Hartbeestfontein-A" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Rejon placu Świętego Macieja, Montrouge, Heemskerk, Rosolini, Hartbeestfontein-A?", |
| "ground_truth": { |
| "answer": "Hartbeestfontein-A", |
| "outlier_distance_km": 6645.1, |
| "second_furthest_km": 2302.3, |
| "clarity_ratio": 2.89, |
| "median_distance_km": 2063.6, |
| "distances_to_centroid": { |
| "Rejon placu Świętego Macieja": 2063.6, |
| "Montrouge": 2005.2, |
| "Heemskerk": 2302.3, |
| "Rosolini": 475.6, |
| "Hartbeestfontein-A": 6645.1 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Rejon placu Świętego Macieja: (51.12°, 17.04°)", |
| " Montrouge: (48.82°, 2.31°)", |
| " Heemskerk: (52.51°, 4.67°)", |
| " Rosolini: (36.82°, 14.95°)", |
| " Hartbeestfontein-A: (-25.44°, 27.51°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Hartbeestfontein-A: 6645.1 km from centroid", |
| " Heemskerk: 2302.3 km from centroid", |
| " Rejon placu Świętego Macieja: 2063.6 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Hartbeestfontein-A", |
| "FINAL ANSWER: Hartbeestfontein-A" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -27.61025, |
| "lon": 153.05388, |
| "name": "Sunnybank Hills" |
| }, |
| { |
| "lat": -25.54073, |
| "lon": 152.70493, |
| "name": "Maryborough" |
| }, |
| { |
| "lat": -33.86667, |
| "lon": 150.95, |
| "name": "Fairfield" |
| }, |
| { |
| "lat": -41.51603, |
| "lon": 173.9528, |
| "name": "Blenheim" |
| }, |
| { |
| "lat": 45.78693, |
| "lon": 4.9251, |
| "name": "Vaulx-en-Velin" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Sunnybank Hills, Maryborough, Fairfield, Blenheim, Vaulx-en-Velin?", |
| "ground_truth": { |
| "answer": "Vaulx-en-Velin", |
| "outlier_distance_km": 13796.5, |
| "second_furthest_km": 5245.2, |
| "clarity_ratio": 2.63, |
| "median_distance_km": 3060.8, |
| "distances_to_centroid": { |
| "Sunnybank Hills": 2933.3, |
| "Maryborough": 2831.0, |
| "Fairfield": 3060.8, |
| "Blenheim": 5245.2, |
| "Vaulx-en-Velin": 13796.5 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Sunnybank Hills: (-27.61°, 153.05°)", |
| " Maryborough: (-25.54°, 152.70°)", |
| " Fairfield: (-33.87°, 150.95°)", |
| " Blenheim: (-41.52°, 173.95°)", |
| " Vaulx-en-Velin: (45.79°, 4.93°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Vaulx-en-Velin: 13796.5 km from centroid", |
| " Blenheim: 5245.2 km from centroid", |
| " Fairfield: 3060.8 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Vaulx-en-Velin", |
| "FINAL ANSWER: Vaulx-en-Velin" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 35.38333, |
| "lon": 136.26667, |
| "name": "Nagahama" |
| }, |
| { |
| "lat": 34.86472, |
| "lon": 117.55417, |
| "name": "Zaozhuang" |
| }, |
| { |
| "lat": 18.57506, |
| "lon": 76.02186, |
| "name": "Kallam" |
| }, |
| { |
| "lat": 15.35116, |
| "lon": 121.00393, |
| "name": "Peñaranda" |
| }, |
| { |
| "lat": 12.63056, |
| "lon": 39.03472, |
| "name": "Sek’ot’a" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Nagahama, Zaozhuang, Kallam, Peñaranda, Sek’ot’a?", |
| "ground_truth": { |
| "answer": "Sek’ot’a", |
| "outlier_distance_km": 6306.0, |
| "second_furthest_km": 3915.0, |
| "clarity_ratio": 1.61, |
| "median_distance_km": 2570.5, |
| "distances_to_centroid": { |
| "Nagahama": 3915.0, |
| "Zaozhuang": 2285.1, |
| "Kallam": 2338.2, |
| "Peñaranda": 2570.5, |
| "Sek’ot’a": 6306.0 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Nagahama: (35.38°, 136.27°)", |
| " Zaozhuang: (34.86°, 117.55°)", |
| " Kallam: (18.58°, 76.02°)", |
| " Peñaranda: (15.35°, 121.00°)", |
| " Sek’ot’a: (12.63°, 39.03°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Sek’ot’a: 6306.0 km from centroid", |
| " Nagahama: 3915.0 km from centroid", |
| " Peñaranda: 2570.5 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Sek’ot’a", |
| "FINAL ANSWER: Sek’ot’a" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -9.89667, |
| "lon": -39.02639, |
| "name": "Canudos" |
| }, |
| { |
| "lat": -7.86806, |
| "lon": -37.97472, |
| "name": "Flores" |
| }, |
| { |
| "lat": -5.57667, |
| "lon": -36.90861, |
| "name": "Açu" |
| }, |
| { |
| "lat": -37.15276, |
| "lon": -58.48838, |
| "name": "Ayacucho" |
| }, |
| { |
| "lat": 34.84184, |
| "lon": 116.55722, |
| "name": "Shunhe" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Canudos, Flores, Açu, Ayacucho, Shunhe?", |
| "ground_truth": { |
| "answer": "Shunhe", |
| "outlier_distance_km": 13727.4, |
| "second_furthest_km": 5970.1, |
| "clarity_ratio": 2.3, |
| "median_distance_km": 3115.0, |
| "distances_to_centroid": { |
| "Canudos": 3115.0, |
| "Flores": 2976.6, |
| "Açu": 2849.9, |
| "Ayacucho": 5970.1, |
| "Shunhe": 13727.4 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Canudos: (-9.90°, -39.03°)", |
| " Flores: (-7.87°, -37.97°)", |
| " Açu: (-5.58°, -36.91°)", |
| " Ayacucho: (-37.15°, -58.49°)", |
| " Shunhe: (34.84°, 116.56°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Shunhe: 13727.4 km from centroid", |
| " Ayacucho: 5970.1 km from centroid", |
| " Canudos: 3115.0 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Shunhe", |
| "FINAL ANSWER: Shunhe" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -14.67806, |
| "lon": -39.375, |
| "name": "Itajuípe" |
| }, |
| { |
| "lat": -16.735, |
| "lon": -43.86167, |
| "name": "Montes Claros" |
| }, |
| { |
| "lat": -19.96722, |
| "lon": -43.80417, |
| "name": "Raposos" |
| }, |
| { |
| "lat": -26.76389, |
| "lon": -48.67167, |
| "name": "Balneário Piçarras" |
| }, |
| { |
| "lat": -38.13874, |
| "lon": 176.24516, |
| "name": "Rotorua" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Itajuípe, Montes Claros, Raposos, Balneário Piçarras, Rotorua?", |
| "ground_truth": { |
| "answer": "Rotorua", |
| "outlier_distance_km": 13176.3, |
| "second_furthest_km": 4901.4, |
| "clarity_ratio": 2.69, |
| "median_distance_km": 4634.0, |
| "distances_to_centroid": { |
| "Itajuípe": 4245.9, |
| "Montes Claros": 4634.0, |
| "Raposos": 4537.4, |
| "Balneário Piçarras": 4901.4, |
| "Rotorua": 13176.3 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Itajuípe: (-14.68°, -39.38°)", |
| " Montes Claros: (-16.73°, -43.86°)", |
| " Raposos: (-19.97°, -43.80°)", |
| " Balneário Piçarras: (-26.76°, -48.67°)", |
| " Rotorua: (-38.14°, 176.25°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Rotorua: 13176.3 km from centroid", |
| " Balneário Piçarras: 4901.4 km from centroid", |
| " Montes Claros: 4634.0 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Rotorua", |
| "FINAL ANSWER: Rotorua" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 11.19152, |
| "lon": 40.01675, |
| "name": "Batī" |
| }, |
| { |
| "lat": -26.53333, |
| "lon": 29.06667, |
| "name": "eMbalenhle" |
| }, |
| { |
| "lat": 12.01667, |
| "lon": 39.63333, |
| "name": "Robīt" |
| }, |
| { |
| "lat": -26.1466, |
| "lon": 28.68322, |
| "name": "Delmas" |
| }, |
| { |
| "lat": 41.82649, |
| "lon": -72.73009, |
| "name": "Bloomfield" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Batī, eMbalenhle, Robīt, Delmas, Bloomfield?", |
| "ground_truth": { |
| "answer": "Bloomfield", |
| "outlier_distance_km": 9465.1, |
| "second_furthest_km": 3661.1, |
| "clarity_ratio": 2.59, |
| "median_distance_km": 3604.6, |
| "distances_to_centroid": { |
| "Batī": 3140.1, |
| "eMbalenhle": 3661.1, |
| "Robīt": 3126.8, |
| "Delmas": 3604.6, |
| "Bloomfield": 9465.1 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Batī: (11.19°, 40.02°)", |
| " eMbalenhle: (-26.53°, 29.07°)", |
| " Robīt: (12.02°, 39.63°)", |
| " Delmas: (-26.15°, 28.68°)", |
| " Bloomfield: (41.83°, -72.73°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Bloomfield: 9465.1 km from centroid", |
| " eMbalenhle: 3661.1 km from centroid", |
| " Delmas: 3604.6 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Bloomfield", |
| "FINAL ANSWER: Bloomfield" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 43.66663, |
| "lon": -92.97464, |
| "name": "Austin" |
| }, |
| { |
| "lat": 43.73766, |
| "lon": -79.34972, |
| "name": "Banbury-Don Mills" |
| }, |
| { |
| "lat": 35.40888, |
| "lon": -80.58158, |
| "name": "Concord" |
| }, |
| { |
| "lat": 43.68417, |
| "lon": -79.29936, |
| "name": "East End-Danforth" |
| }, |
| { |
| "lat": -41.51603, |
| "lon": 173.9528, |
| "name": "Blenheim" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Austin, Banbury-Don Mills, Concord, East End-Danforth, Blenheim?", |
| "ground_truth": { |
| "answer": "Blenheim", |
| "outlier_distance_km": 17028.0, |
| "second_furthest_km": 5857.0, |
| "clarity_ratio": 2.91, |
| "median_distance_km": 4792.8, |
| "distances_to_centroid": { |
| "Austin": 5857.0, |
| "Banbury-Don Mills": 4767.3, |
| "Concord": 4792.8, |
| "East End-Danforth": 4762.3, |
| "Blenheim": 17028.0 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Austin: (43.67°, -92.97°)", |
| " Banbury-Don Mills: (43.74°, -79.35°)", |
| " Concord: (35.41°, -80.58°)", |
| " East End-Danforth: (43.68°, -79.30°)", |
| " Blenheim: (-41.52°, 173.95°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Blenheim: 17028.0 km from centroid", |
| " Austin: 5857.0 km from centroid", |
| " Concord: 4792.8 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Blenheim", |
| "FINAL ANSWER: Blenheim" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -38.13874, |
| "lon": 176.24516, |
| "name": "Rotorua" |
| }, |
| { |
| "lat": -33.92893, |
| "lon": 151.05111, |
| "name": "Punchbowl" |
| }, |
| { |
| "lat": -41.28374, |
| "lon": 174.74141, |
| "name": "Karori" |
| }, |
| { |
| "lat": -33.73333, |
| "lon": 150.88333, |
| "name": "Quakers Hill" |
| }, |
| { |
| "lat": 30.83481, |
| "lon": 109.50499, |
| "name": "Fengping" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Rotorua, Punchbowl, Karori, Quakers Hill, Fengping?", |
| "ground_truth": { |
| "answer": "Fengping", |
| "outlier_distance_km": 7559.7, |
| "second_furthest_km": 2881.7, |
| "clarity_ratio": 2.62, |
| "median_distance_km": 2796.9, |
| "distances_to_centroid": { |
| "Rotorua": 2796.9, |
| "Punchbowl": 1195.6, |
| "Karori": 2881.7, |
| "Quakers Hill": 1176.1, |
| "Fengping": 7559.7 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Rotorua: (-38.14°, 176.25°)", |
| " Punchbowl: (-33.93°, 151.05°)", |
| " Karori: (-41.28°, 174.74°)", |
| " Quakers Hill: (-33.73°, 150.88°)", |
| " Fengping: (30.83°, 109.50°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Fengping: 7559.7 km from centroid", |
| " Karori: 2881.7 km from centroid", |
| " Rotorua: 2796.9 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Fengping", |
| "FINAL ANSWER: Fengping" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 43.45777, |
| "lon": -88.83733, |
| "name": "Beaver Dam" |
| }, |
| { |
| "lat": 25.94065, |
| "lon": -80.2456, |
| "name": "Carol City" |
| }, |
| { |
| "lat": 40.04122, |
| "lon": -75.12379, |
| "name": "Olney" |
| }, |
| { |
| "lat": 17.54528, |
| "lon": -98.57599, |
| "name": "Tlapa de Comonfort" |
| }, |
| { |
| "lat": -34.03857, |
| "lon": 151.10005, |
| "name": "Miranda" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Beaver Dam, Carol City, Olney, Tlapa de Comonfort, Miranda?", |
| "ground_truth": { |
| "answer": "Miranda", |
| "outlier_distance_km": 18059.1, |
| "second_furthest_km": 6337.7, |
| "clarity_ratio": 2.85, |
| "median_distance_km": 5441.6, |
| "distances_to_centroid": { |
| "Beaver Dam": 5441.6, |
| "Carol City": 4370.8, |
| "Olney": 4243.9, |
| "Tlapa de Comonfort": 6337.7, |
| "Miranda": 18059.1 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Beaver Dam: (43.46°, -88.84°)", |
| " Carol City: (25.94°, -80.25°)", |
| " Olney: (40.04°, -75.12°)", |
| " Tlapa de Comonfort: (17.55°, -98.58°)", |
| " Miranda: (-34.04°, 151.10°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Miranda: 18059.1 km from centroid", |
| " Tlapa de Comonfort: 6337.7 km from centroid", |
| " Beaver Dam: 5441.6 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Miranda", |
| "FINAL ANSWER: Miranda" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 35.0907, |
| "lon": -80.68618, |
| "name": "Stallings" |
| }, |
| { |
| "lat": 47.51659, |
| "lon": -52.78135, |
| "name": "Mount Pearl" |
| }, |
| { |
| "lat": 33.88168, |
| "lon": -118.11701, |
| "name": "Bellflower" |
| }, |
| { |
| "lat": 19.10059, |
| "lon": -98.8788, |
| "name": "Juchitepec" |
| }, |
| { |
| "lat": -27.3171, |
| "lon": 153.03097, |
| "name": "Bracken Ridge" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Stallings, Mount Pearl, Bellflower, Juchitepec, Bracken Ridge?", |
| "ground_truth": { |
| "answer": "Bracken Ridge", |
| "outlier_distance_km": 18601.7, |
| "second_furthest_km": 7676.2, |
| "clarity_ratio": 2.42, |
| "median_distance_km": 6159.6, |
| "distances_to_centroid": { |
| "Stallings": 4263.2, |
| "Mount Pearl": 3112.4, |
| "Bellflower": 7676.2, |
| "Juchitepec": 6159.6, |
| "Bracken Ridge": 18601.7 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Stallings: (35.09°, -80.69°)", |
| " Mount Pearl: (47.52°, -52.78°)", |
| " Bellflower: (33.88°, -118.12°)", |
| " Juchitepec: (19.10°, -98.88°)", |
| " Bracken Ridge: (-27.32°, 153.03°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Bracken Ridge: 18601.7 km from centroid", |
| " Bellflower: 7676.2 km from centroid", |
| " Juchitepec: 6159.6 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Bracken Ridge", |
| "FINAL ANSWER: Bracken Ridge" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 5.65825, |
| "lon": -0.25223, |
| "name": "Taifa" |
| }, |
| { |
| "lat": 31.21114, |
| "lon": 31.05119, |
| "name": "Sīdī Ghāzī" |
| }, |
| { |
| "lat": 31.29443, |
| "lon": 30.52248, |
| "name": "Muţūbas" |
| }, |
| { |
| "lat": 27.25738, |
| "lon": 33.81291, |
| "name": "Hurghada" |
| }, |
| { |
| "lat": 41.95503, |
| "lon": -87.94007, |
| "name": "Bensenville" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Taifa, Sīdī Ghāzī, Muţūbas, Hurghada, Bensenville?", |
| "ground_truth": { |
| "answer": "Bensenville", |
| "outlier_distance_km": 7961.9, |
| "second_furthest_km": 3187.8, |
| "clarity_ratio": 2.5, |
| "median_distance_km": 2891.5, |
| "distances_to_centroid": { |
| "Taifa": 2432.5, |
| "Sīdī Ghāzī": 2891.5, |
| "Muţūbas": 2841.4, |
| "Hurghada": 3187.8, |
| "Bensenville": 7961.9 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Taifa: (5.66°, -0.25°)", |
| " Sīdī Ghāzī: (31.21°, 31.05°)", |
| " Muţūbas: (31.29°, 30.52°)", |
| " Hurghada: (27.26°, 33.81°)", |
| " Bensenville: (41.96°, -87.94°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Bensenville: 7961.9 km from centroid", |
| " Hurghada: 3187.8 km from centroid", |
| " Sīdī Ghāzī: 2891.5 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Bensenville", |
| "FINAL ANSWER: Bensenville" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 48.70311, |
| "lon": 45.19611, |
| "name": "Leninsk" |
| }, |
| { |
| "lat": 52.83492, |
| "lon": 13.81951, |
| "name": "Eberswalde" |
| }, |
| { |
| "lat": 51.47274, |
| "lon": 58.45155, |
| "name": "Gay" |
| }, |
| { |
| "lat": 56.11095, |
| "lon": 47.47755, |
| "name": "Novocheboksarsk" |
| }, |
| { |
| "lat": -0.45275, |
| "lon": 39.64601, |
| "name": "Garissa" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Leninsk, Eberswalde, Gay, Novocheboksarsk, Garissa?", |
| "ground_truth": { |
| "answer": "Garissa", |
| "outlier_distance_km": 4692.7, |
| "second_furthest_km": 2366.5, |
| "clarity_ratio": 1.98, |
| "median_distance_km": 1714.8, |
| "distances_to_centroid": { |
| "Leninsk": 843.9, |
| "Eberswalde": 2366.5, |
| "Gay": 1714.8, |
| "Novocheboksarsk": 1667.1, |
| "Garissa": 4692.7 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Leninsk: (48.70°, 45.20°)", |
| " Eberswalde: (52.83°, 13.82°)", |
| " Gay: (51.47°, 58.45°)", |
| " Novocheboksarsk: (56.11°, 47.48°)", |
| " Garissa: (-0.45°, 39.65°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Garissa: 4692.7 km from centroid", |
| " Eberswalde: 2366.5 km from centroid", |
| " Gay: 1714.8 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Garissa", |
| "FINAL ANSWER: Garissa" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -19.80083, |
| "lon": -41.71306, |
| "name": "Ipanema" |
| }, |
| { |
| "lat": -8.35806, |
| "lon": -42.24667, |
| "name": "São João do Piauí" |
| }, |
| { |
| "lat": -37.15276, |
| "lon": -58.48838, |
| "name": "Ayacucho" |
| }, |
| { |
| "lat": 2.77717, |
| "lon": -75.25642, |
| "name": "Rivera" |
| }, |
| { |
| "lat": -37.62581, |
| "lon": 144.92555, |
| "name": "Roxburgh Park" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Ipanema, São João do Piauí, Ayacucho, Rivera, Roxburgh Park?", |
| "ground_truth": { |
| "answer": "Roxburgh Park", |
| "outlier_distance_km": 13253.8, |
| "second_furthest_km": 7086.3, |
| "clarity_ratio": 1.87, |
| "median_distance_km": 4641.6, |
| "distances_to_centroid": { |
| "Ipanema": 2836.1, |
| "São João do Piauí": 3247.8, |
| "Ayacucho": 4641.6, |
| "Rivera": 7086.3, |
| "Roxburgh Park": 13253.8 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Ipanema: (-19.80°, -41.71°)", |
| " São João do Piauí: (-8.36°, -42.25°)", |
| " Ayacucho: (-37.15°, -58.49°)", |
| " Rivera: (2.78°, -75.26°)", |
| " Roxburgh Park: (-37.63°, 144.93°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Roxburgh Park: 13253.8 km from centroid", |
| " Rivera: 7086.3 km from centroid", |
| " Ayacucho: 4641.6 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Roxburgh Park", |
| "FINAL ANSWER: Roxburgh Park" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -3.43944, |
| "lon": -39.14833, |
| "name": "Paraipaba" |
| }, |
| { |
| "lat": -14.06944, |
| "lon": -42.475, |
| "name": "Caetité" |
| }, |
| { |
| "lat": 6.15515, |
| "lon": -75.37371, |
| "name": "Rionegro" |
| }, |
| { |
| "lat": -3.47222, |
| "lon": -51.19778, |
| "name": "Anapu" |
| }, |
| { |
| "lat": 36.63333, |
| "lon": 139.98333, |
| "name": "Hōshakuji" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Paraipaba, Caetité, Rionegro, Anapu, Hōshakuji?", |
| "ground_truth": { |
| "answer": "Hōshakuji", |
| "outlier_distance_km": 14697.9, |
| "second_furthest_km": 6834.8, |
| "clarity_ratio": 2.15, |
| "median_distance_km": 4262.5, |
| "distances_to_centroid": { |
| "Paraipaba": 2963.6, |
| "Caetité": 3783.3, |
| "Rionegro": 6834.8, |
| "Anapu": 4262.5, |
| "Hōshakuji": 14697.9 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Paraipaba: (-3.44°, -39.15°)", |
| " Caetité: (-14.07°, -42.48°)", |
| " Rionegro: (6.16°, -75.37°)", |
| " Anapu: (-3.47°, -51.20°)", |
| " Hōshakuji: (36.63°, 139.98°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Hōshakuji: 14697.9 km from centroid", |
| " Rionegro: 6834.8 km from centroid", |
| " Anapu: 4262.5 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Hōshakuji", |
| "FINAL ANSWER: Hōshakuji" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 54.09989, |
| "lon": 35.34254, |
| "name": "Sukhinichi" |
| }, |
| { |
| "lat": 40.59144, |
| "lon": -4.14738, |
| "name": "San Lorenzo de El Escorial" |
| }, |
| { |
| "lat": 60.74985, |
| "lon": 72.85824, |
| "name": "Pyt-Yakh" |
| }, |
| { |
| "lat": 41.37732, |
| "lon": 2.08809, |
| "name": "Esplugues de Llobregat" |
| }, |
| { |
| "lat": 38.49602, |
| "lon": -121.40884, |
| "name": "Florin" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Sukhinichi, San Lorenzo de El Escorial, Pyt-Yakh, Esplugues de Llobregat, Florin?", |
| "ground_truth": { |
| "answer": "Florin", |
| "outlier_distance_km": 8708.5, |
| "second_furthest_km": 4888.6, |
| "clarity_ratio": 1.78, |
| "median_distance_km": 2783.2, |
| "distances_to_centroid": { |
| "Sukhinichi": 2783.2, |
| "San Lorenzo de El Escorial": 724.9, |
| "Pyt-Yakh": 4888.6, |
| "Esplugues de Llobregat": 753.0, |
| "Florin": 8708.5 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Sukhinichi: (54.10°, 35.34°)", |
| " San Lorenzo de El Escorial: (40.59°, -4.15°)", |
| " Pyt-Yakh: (60.75°, 72.86°)", |
| " Esplugues de Llobregat: (41.38°, 2.09°)", |
| " Florin: (38.50°, -121.41°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Florin: 8708.5 km from centroid", |
| " Pyt-Yakh: 4888.6 km from centroid", |
| " Sukhinichi: 2783.2 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Florin", |
| "FINAL ANSWER: Florin" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 52.22961, |
| "lon": 8.91612, |
| "name": "Porta Westfalica" |
| }, |
| { |
| "lat": 41.40392, |
| "lon": 2.20413, |
| "name": "el Poblenou" |
| }, |
| { |
| "lat": 52.13129, |
| "lon": 11.63189, |
| "name": "Magdeburg" |
| }, |
| { |
| "lat": 53.86437, |
| "lon": -1.68743, |
| "name": "Yeadon" |
| }, |
| { |
| "lat": 41.10172, |
| "lon": -80.76452, |
| "name": "Austintown" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Porta Westfalica, el Poblenou, Magdeburg, Yeadon, Austintown?", |
| "ground_truth": { |
| "answer": "Austintown", |
| "outlier_distance_km": 5318.9, |
| "second_furthest_km": 1728.9, |
| "clarity_ratio": 3.08, |
| "median_distance_km": 1546.5, |
| "distances_to_centroid": { |
| "Porta Westfalica": 1546.5, |
| "el Poblenou": 1341.5, |
| "Magdeburg": 1728.9, |
| "Yeadon": 956.9, |
| "Austintown": 5318.9 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Porta Westfalica: (52.23°, 8.92°)", |
| " el Poblenou: (41.40°, 2.20°)", |
| " Magdeburg: (52.13°, 11.63°)", |
| " Yeadon: (53.86°, -1.69°)", |
| " Austintown: (41.10°, -80.76°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Austintown: 5318.9 km from centroid", |
| " Magdeburg: 1728.9 km from centroid", |
| " Porta Westfalica: 1546.5 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Austintown", |
| "FINAL ANSWER: Austintown" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -37.8, |
| "lon": 144.96667, |
| "name": "Carlton" |
| }, |
| { |
| "lat": -37.8676, |
| "lon": 144.98099, |
| "name": "Saint Kilda" |
| }, |
| { |
| "lat": -33.92399, |
| "lon": 151.22749, |
| "name": "Kingsford" |
| }, |
| { |
| "lat": -25.28762, |
| "lon": 152.76936, |
| "name": "Hervey Bay" |
| }, |
| { |
| "lat": 43.42896, |
| "lon": 39.92391, |
| "name": "Adler" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Carlton, Saint Kilda, Kingsford, Hervey Bay, Adler?", |
| "ground_truth": { |
| "answer": "Adler", |
| "outlier_distance_km": 11146.7, |
| "second_furthest_km": 2983.7, |
| "clarity_ratio": 3.74, |
| "median_distance_km": 2804.6, |
| "distances_to_centroid": { |
| "Carlton": 2798.3, |
| "Saint Kilda": 2804.6, |
| "Kingsford": 2983.7, |
| "Hervey Bay": 2789.1, |
| "Adler": 11146.7 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Carlton: (-37.80°, 144.97°)", |
| " Saint Kilda: (-37.87°, 144.98°)", |
| " Kingsford: (-33.92°, 151.23°)", |
| " Hervey Bay: (-25.29°, 152.77°)", |
| " Adler: (43.43°, 39.92°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Adler: 11146.7 km from centroid", |
| " Kingsford: 2983.7 km from centroid", |
| " Saint Kilda: 2804.6 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Adler", |
| "FINAL ANSWER: Adler" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -33.01167, |
| "lon": 17.9442, |
| "name": "Saldanha" |
| }, |
| { |
| "lat": -1.85238, |
| "lon": 36.77683, |
| "name": "Kajiado" |
| }, |
| { |
| "lat": 7.85, |
| "lon": 36.65, |
| "name": "Āgaro" |
| }, |
| { |
| "lat": 12.11451, |
| "lon": 12.8262, |
| "name": "Magumeri" |
| }, |
| { |
| "lat": -37.96649, |
| "lon": 145.2081, |
| "name": "Dandenong North" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Saldanha, Kajiado, Āgaro, Magumeri, Dandenong North?", |
| "ground_truth": { |
| "answer": "Dandenong North", |
| "outlier_distance_km": 9746.7, |
| "second_furthest_km": 4807.7, |
| "clarity_ratio": 2.03, |
| "median_distance_km": 4104.9, |
| "distances_to_centroid": { |
| "Saldanha": 4104.9, |
| "Kajiado": 1741.9, |
| "Āgaro": 2518.2, |
| "Magumeri": 4807.7, |
| "Dandenong North": 9746.7 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Saldanha: (-33.01°, 17.94°)", |
| " Kajiado: (-1.85°, 36.78°)", |
| " Āgaro: (7.85°, 36.65°)", |
| " Magumeri: (12.11°, 12.83°)", |
| " Dandenong North: (-37.97°, 145.21°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Dandenong North: 9746.7 km from centroid", |
| " Magumeri: 4807.7 km from centroid", |
| " Saldanha: 4104.9 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Dandenong North", |
| "FINAL ANSWER: Dandenong North" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -26.23806, |
| "lon": -51.07833, |
| "name": "Porto União" |
| }, |
| { |
| "lat": 4.43139, |
| "lon": -61.14639, |
| "name": "Pacaraima" |
| }, |
| { |
| "lat": -7.94083, |
| "lon": -34.87306, |
| "name": "Paulista" |
| }, |
| { |
| "lat": -14.63126, |
| "lon": -69.44638, |
| "name": "La Rinconada" |
| }, |
| { |
| "lat": 1.72837, |
| "lon": 128.00948, |
| "name": "Tobelo" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Porto União, Pacaraima, Paulista, La Rinconada, Tobelo?", |
| "ground_truth": { |
| "answer": "Tobelo", |
| "outlier_distance_km": 16146.3, |
| "second_furthest_km": 5665.4, |
| "clarity_ratio": 2.85, |
| "median_distance_km": 5027.6, |
| "distances_to_centroid": { |
| "Porto União": 4031.7, |
| "Pacaraima": 5027.6, |
| "Paulista": 1890.1, |
| "La Rinconada": 5665.4, |
| "Tobelo": 16146.3 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Porto União: (-26.24°, -51.08°)", |
| " Pacaraima: (4.43°, -61.15°)", |
| " Paulista: (-7.94°, -34.87°)", |
| " La Rinconada: (-14.63°, -69.45°)", |
| " Tobelo: (1.73°, 128.01°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Tobelo: 16146.3 km from centroid", |
| " La Rinconada: 5665.4 km from centroid", |
| " Pacaraima: 5027.6 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Tobelo", |
| "FINAL ANSWER: Tobelo" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 45.80463, |
| "lon": 13.53292, |
| "name": "Monfalcone" |
| }, |
| { |
| "lat": 53.86893, |
| "lon": 10.68729, |
| "name": "Lübeck" |
| }, |
| { |
| "lat": 51.66931, |
| "lon": -4.04163, |
| "name": "Gorseinon" |
| }, |
| { |
| "lat": 62.26537, |
| "lon": 74.47906, |
| "name": "Kogalym" |
| }, |
| { |
| "lat": -8.44869, |
| "lon": 115.60621, |
| "name": "Amlapura city" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Monfalcone, Lübeck, Gorseinon, Kogalym, Amlapura city?", |
| "ground_truth": { |
| "answer": "Amlapura city", |
| "outlier_distance_km": 9274.5, |
| "second_furthest_km": 3660.8, |
| "clarity_ratio": 2.53, |
| "median_distance_km": 3188.2, |
| "distances_to_centroid": { |
| "Monfalcone": 2350.3, |
| "Lübeck": 2723.6, |
| "Gorseinon": 3660.8, |
| "Kogalym": 3188.2, |
| "Amlapura city": 9274.5 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Monfalcone: (45.80°, 13.53°)", |
| " Lübeck: (53.87°, 10.69°)", |
| " Gorseinon: (51.67°, -4.04°)", |
| " Kogalym: (62.27°, 74.48°)", |
| " Amlapura city: (-8.45°, 115.61°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Amlapura city: 9274.5 km from centroid", |
| " Gorseinon: 3660.8 km from centroid", |
| " Kogalym: 3188.2 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Amlapura city", |
| "FINAL ANSWER: Amlapura city" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -33.92399, |
| "lon": 151.22749, |
| "name": "Kingsford" |
| }, |
| { |
| "lat": -37.60075, |
| "lon": 145.09555, |
| "name": "Mernda" |
| }, |
| { |
| "lat": -38.02388, |
| "lon": 144.40617, |
| "name": "Lara" |
| }, |
| { |
| "lat": -37.70988, |
| "lon": 144.75483, |
| "name": "Taylors Hill" |
| }, |
| { |
| "lat": -27.24179, |
| "lon": 27.57422, |
| "name": "Koppies" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Kingsford, Mernda, Lara, Taylors Hill, Koppies?", |
| "ground_truth": { |
| "answer": "Koppies", |
| "outlier_distance_km": 8738.5, |
| "second_furthest_km": 2618.4, |
| "clarity_ratio": 3.34, |
| "median_distance_km": 2033.4, |
| "distances_to_centroid": { |
| "Kingsford": 2618.4, |
| "Mernda": 2033.4, |
| "Lara": 1975.0, |
| "Taylors Hill": 2003.9, |
| "Koppies": 8738.5 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Kingsford: (-33.92°, 151.23°)", |
| " Mernda: (-37.60°, 145.10°)", |
| " Lara: (-38.02°, 144.41°)", |
| " Taylors Hill: (-37.71°, 144.75°)", |
| " Koppies: (-27.24°, 27.57°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Koppies: 8738.5 km from centroid", |
| " Kingsford: 2618.4 km from centroid", |
| " Mernda: 2033.4 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Koppies", |
| "FINAL ANSWER: Koppies" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -10.32, |
| "lon": -36.57944, |
| "name": "Neópolis" |
| }, |
| { |
| "lat": -23.44077, |
| "lon": -46.73774, |
| "name": "Jaraguá" |
| }, |
| { |
| "lat": -27.21787, |
| "lon": -61.18738, |
| "name": "Charata" |
| }, |
| { |
| "lat": -6.96333, |
| "lon": -35.69167, |
| "name": "Areia" |
| }, |
| { |
| "lat": 14.40076, |
| "lon": 37.93399, |
| "name": "Sheraro" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Neópolis, Jaraguá, Charata, Areia, Sheraro?", |
| "ground_truth": { |
| "answer": "Sheraro", |
| "outlier_distance_km": 7831.1, |
| "second_furthest_km": 3882.4, |
| "clarity_ratio": 2.02, |
| "median_distance_km": 2399.9, |
| "distances_to_centroid": { |
| "Neópolis": 889.5, |
| "Jaraguá": 2399.9, |
| "Charata": 3882.4, |
| "Areia": 897.7, |
| "Sheraro": 7831.1 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Neópolis: (-10.32°, -36.58°)", |
| " Jaraguá: (-23.44°, -46.74°)", |
| " Charata: (-27.22°, -61.19°)", |
| " Areia: (-6.96°, -35.69°)", |
| " Sheraro: (14.40°, 37.93°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Sheraro: 7831.1 km from centroid", |
| " Charata: 3882.4 km from centroid", |
| " Jaraguá: 2399.9 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Sheraro", |
| "FINAL ANSWER: Sheraro" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 51.00166, |
| "lon": 13.6488, |
| "name": "Freital" |
| }, |
| { |
| "lat": 48.98994, |
| "lon": 2.1699, |
| "name": "Herblay-sur-Seine" |
| }, |
| { |
| "lat": 50.95753, |
| "lon": 6.93611, |
| "name": "Neuehrenfeld" |
| }, |
| { |
| "lat": 55.58183, |
| "lon": 38.91994, |
| "name": "Kurovskoye" |
| }, |
| { |
| "lat": 28.91154, |
| "lon": 79.52009, |
| "name": "Kichha" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Freital, Herblay-sur-Seine, Neuehrenfeld, Kurovskoye, Kichha?", |
| "ground_truth": { |
| "answer": "Kichha", |
| "outlier_distance_km": 4822.9, |
| "second_furthest_km": 1940.0, |
| "clarity_ratio": 2.49, |
| "median_distance_km": 1605.5, |
| "distances_to_centroid": { |
| "Freital": 1146.5, |
| "Herblay-sur-Seine": 1940.0, |
| "Neuehrenfeld": 1605.5, |
| "Kurovskoye": 1198.2, |
| "Kichha": 4822.9 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Freital: (51.00°, 13.65°)", |
| " Herblay-sur-Seine: (48.99°, 2.17°)", |
| " Neuehrenfeld: (50.96°, 6.94°)", |
| " Kurovskoye: (55.58°, 38.92°)", |
| " Kichha: (28.91°, 79.52°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Kichha: 4822.9 km from centroid", |
| " Herblay-sur-Seine: 1940.0 km from centroid", |
| " Neuehrenfeld: 1605.5 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Kichha", |
| "FINAL ANSWER: Kichha" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -38.16604, |
| "lon": 145.13643, |
| "name": "Frankston South" |
| }, |
| { |
| "lat": -37.66667, |
| "lon": 145.01667, |
| "name": "Lalor" |
| }, |
| { |
| "lat": -33.9681, |
| "lon": 151.13564, |
| "name": "Kogarah" |
| }, |
| { |
| "lat": -28.00274, |
| "lon": 153.42999, |
| "name": "Surfers Paradise" |
| }, |
| { |
| "lat": 56.03715, |
| "lon": 93.12684, |
| "name": "Berëzovka" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Frankston South, Lalor, Kogarah, Surfers Paradise, Berëzovka?", |
| "ground_truth": { |
| "answer": "Berëzovka", |
| "outlier_distance_km": 9053.5, |
| "second_furthest_km": 2535.7, |
| "clarity_ratio": 3.57, |
| "median_distance_km": 2479.8, |
| "distances_to_centroid": { |
| "Frankston South": 2535.7, |
| "Lalor": 2479.8, |
| "Kogarah": 2382.1, |
| "Surfers Paradise": 2080.6, |
| "Berëzovka": 9053.5 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Frankston South: (-38.17°, 145.14°)", |
| " Lalor: (-37.67°, 145.02°)", |
| " Kogarah: (-33.97°, 151.14°)", |
| " Surfers Paradise: (-28.00°, 153.43°)", |
| " Berëzovka: (56.04°, 93.13°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Berëzovka: 9053.5 km from centroid", |
| " Frankston South: 2535.7 km from centroid", |
| " Lalor: 2479.8 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Berëzovka", |
| "FINAL ANSWER: Berëzovka" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -7.40056, |
| "lon": -79.57139, |
| "name": "Pacasmayo" |
| }, |
| { |
| "lat": 5.06692, |
| "lon": -74.59499, |
| "name": "Guaduas" |
| }, |
| { |
| "lat": -24.4875, |
| "lon": -47.84361, |
| "name": "Registro" |
| }, |
| { |
| "lat": 3.23114, |
| "lon": -76.41668, |
| "name": "Puerto Tejada" |
| }, |
| { |
| "lat": -28.41789, |
| "lon": 32.18483, |
| "name": "Mtubatuba" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Pacasmayo, Guaduas, Registro, Puerto Tejada, Mtubatuba?", |
| "ground_truth": { |
| "answer": "Mtubatuba", |
| "outlier_distance_km": 8628.4, |
| "second_furthest_km": 3368.1, |
| "clarity_ratio": 2.56, |
| "median_distance_km": 3346.5, |
| "distances_to_centroid": { |
| "Pacasmayo": 3346.5, |
| "Guaduas": 3291.8, |
| "Registro": 1573.3, |
| "Puerto Tejada": 3368.1, |
| "Mtubatuba": 8628.4 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Pacasmayo: (-7.40°, -79.57°)", |
| " Guaduas: (5.07°, -74.59°)", |
| " Registro: (-24.49°, -47.84°)", |
| " Puerto Tejada: (3.23°, -76.42°)", |
| " Mtubatuba: (-28.42°, 32.18°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Mtubatuba: 8628.4 km from centroid", |
| " Puerto Tejada: 3368.1 km from centroid", |
| " Pacasmayo: 3346.5 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Mtubatuba", |
| "FINAL ANSWER: Mtubatuba" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 19.02681, |
| "lon": 74.71487, |
| "name": "Ārangaon" |
| }, |
| { |
| "lat": 14.9127, |
| "lon": 120.56659, |
| "name": "Santa Cruz" |
| }, |
| { |
| "lat": 34.06153, |
| "lon": 108.62905, |
| "name": "Yuxia" |
| }, |
| { |
| "lat": 34.38889, |
| "lon": 118.05, |
| "name": "Chenlou" |
| }, |
| { |
| "lat": 19.60833, |
| "lon": -99.16944, |
| "name": "Buenavista" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Ārangaon, Santa Cruz, Yuxia, Chenlou, Buenavista?", |
| "ground_truth": { |
| "answer": "Buenavista", |
| "outlier_distance_km": 14814.0, |
| "second_furthest_km": 5921.3, |
| "clarity_ratio": 2.5, |
| "median_distance_km": 5239.8, |
| "distances_to_centroid": { |
| "Ārangaon": 1206.7, |
| "Santa Cruz": 5921.3, |
| "Yuxia": 4374.1, |
| "Chenlou": 5239.8, |
| "Buenavista": 14814.0 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Ārangaon: (19.03°, 74.71°)", |
| " Santa Cruz: (14.91°, 120.57°)", |
| " Yuxia: (34.06°, 108.63°)", |
| " Chenlou: (34.39°, 118.05°)", |
| " Buenavista: (19.61°, -99.17°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Buenavista: 14814.0 km from centroid", |
| " Santa Cruz: 5921.3 km from centroid", |
| " Chenlou: 5239.8 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Buenavista", |
| "FINAL ANSWER: Buenavista" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 52.96572, |
| "lon": 10.56111, |
| "name": "Uelzen" |
| }, |
| { |
| "lat": 45.55301, |
| "lon": 9.29907, |
| "name": "Brugherio" |
| }, |
| { |
| "lat": 52.14, |
| "lon": 5.58472, |
| "name": "Barneveld" |
| }, |
| { |
| "lat": 45.44207, |
| "lon": 9.09445, |
| "name": "Cesano Boscone" |
| }, |
| { |
| "lat": 20.52353, |
| "lon": -100.8157, |
| "name": "Celaya" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Uelzen, Brugherio, Barneveld, Cesano Boscone, Celaya?", |
| "ground_truth": { |
| "answer": "Celaya", |
| "outlier_distance_km": 8268.7, |
| "second_furthest_km": 2052.2, |
| "clarity_ratio": 4.03, |
| "median_distance_km": 1801.6, |
| "distances_to_centroid": { |
| "Uelzen": 2052.2, |
| "Brugherio": 1801.6, |
| "Barneveld": 1708.3, |
| "Cesano Boscone": 1785.7, |
| "Celaya": 8268.7 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Uelzen: (52.97°, 10.56°)", |
| " Brugherio: (45.55°, 9.30°)", |
| " Barneveld: (52.14°, 5.58°)", |
| " Cesano Boscone: (45.44°, 9.09°)", |
| " Celaya: (20.52°, -100.82°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Celaya: 8268.7 km from centroid", |
| " Uelzen: 2052.2 km from centroid", |
| " Brugherio: 1801.6 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Celaya", |
| "FINAL ANSWER: Celaya" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 52.89, |
| "lon": 4.74028, |
| "name": "Julianadorp" |
| }, |
| { |
| "lat": 51.965, |
| "lon": 6.28889, |
| "name": "Doetinchem" |
| }, |
| { |
| "lat": 49.58333, |
| "lon": 3.0, |
| "name": "Noyon" |
| }, |
| { |
| "lat": 42.95488, |
| "lon": 12.70268, |
| "name": "Foligno" |
| }, |
| { |
| "lat": 9.56561, |
| "lon": 36.63569, |
| "name": "Gutin" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Julianadorp, Doetinchem, Noyon, Foligno, Gutin?", |
| "ground_truth": { |
| "answer": "Gutin", |
| "outlier_distance_km": 4247.3, |
| "second_furthest_km": 1410.3, |
| "clarity_ratio": 3.01, |
| "median_distance_km": 1271.4, |
| "distances_to_centroid": { |
| "Julianadorp": 1410.3, |
| "Doetinchem": 1271.4, |
| "Noyon": 1180.5, |
| "Foligno": 173.8, |
| "Gutin": 4247.3 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Julianadorp: (52.89°, 4.74°)", |
| " Doetinchem: (51.97°, 6.29°)", |
| " Noyon: (49.58°, 3.00°)", |
| " Foligno: (42.95°, 12.70°)", |
| " Gutin: (9.57°, 36.64°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Gutin: 4247.3 km from centroid", |
| " Julianadorp: 1410.3 km from centroid", |
| " Doetinchem: 1271.4 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Gutin", |
| "FINAL ANSWER: Gutin" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 51.33568, |
| "lon": 1.41797, |
| "name": "Ramsgate" |
| }, |
| { |
| "lat": 41.89184, |
| "lon": 48.41247, |
| "name": "Belidzhi" |
| }, |
| { |
| "lat": 43.66141, |
| "lon": 10.63067, |
| "name": "Pontedera" |
| }, |
| { |
| "lat": 50.72374, |
| "lon": 2.53729, |
| "name": "Hazebrouck" |
| }, |
| { |
| "lat": 8.56102, |
| "lon": 77.97214, |
| "name": "Nazareth" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Ramsgate, Belidzhi, Pontedera, Hazebrouck, Nazareth?", |
| "ground_truth": { |
| "answer": "Nazareth", |
| "outlier_distance_km": 5996.9, |
| "second_furthest_km": 2468.2, |
| "clarity_ratio": 2.43, |
| "median_distance_km": 2369.8, |
| "distances_to_centroid": { |
| "Ramsgate": 2468.2, |
| "Belidzhi": 1729.1, |
| "Pontedera": 1540.8, |
| "Hazebrouck": 2369.8, |
| "Nazareth": 5996.9 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Ramsgate: (51.34°, 1.42°)", |
| " Belidzhi: (41.89°, 48.41°)", |
| " Pontedera: (43.66°, 10.63°)", |
| " Hazebrouck: (50.72°, 2.54°)", |
| " Nazareth: (8.56°, 77.97°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Nazareth: 5996.9 km from centroid", |
| " Ramsgate: 2468.2 km from centroid", |
| " Hazebrouck: 2369.8 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Nazareth", |
| "FINAL ANSWER: Nazareth" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -21.66917, |
| "lon": -42.07611, |
| "name": "Itaocara" |
| }, |
| { |
| "lat": -22.50917, |
| "lon": -48.55778, |
| "name": "Igaraçu do Tietê" |
| }, |
| { |
| "lat": -3.79833, |
| "lon": -40.26056, |
| "name": "Forquilha" |
| }, |
| { |
| "lat": -15.84003, |
| "lon": -70.02198, |
| "name": "Puno" |
| }, |
| { |
| "lat": 13.69157, |
| "lon": 99.92982, |
| "name": "Bang Phae" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Itaocara, Igaraçu do Tietê, Forquilha, Puno, Bang Phae?", |
| "ground_truth": { |
| "answer": "Bang Phae", |
| "outlier_distance_km": 13502.1, |
| "second_furthest_km": 5426.5, |
| "clarity_ratio": 2.49, |
| "median_distance_km": 3321.2, |
| "distances_to_centroid": { |
| "Itaocara": 2669.3, |
| "Igaraçu do Tietê": 3321.2, |
| "Forquilha": 2319.2, |
| "Puno": 5426.5, |
| "Bang Phae": 13502.1 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Itaocara: (-21.67°, -42.08°)", |
| " Igaraçu do Tietê: (-22.51°, -48.56°)", |
| " Forquilha: (-3.80°, -40.26°)", |
| " Puno: (-15.84°, -70.02°)", |
| " Bang Phae: (13.69°, 99.93°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Bang Phae: 13502.1 km from centroid", |
| " Puno: 5426.5 km from centroid", |
| " Igaraçu do Tietê: 3321.2 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Bang Phae", |
| "FINAL ANSWER: Bang Phae" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 10.55, |
| "lon": 37.48333, |
| "name": "Dembech’a" |
| }, |
| { |
| "lat": 10.16756, |
| "lon": 12.73684, |
| "name": "Gombi" |
| }, |
| { |
| "lat": 9.92849, |
| "lon": 8.89212, |
| "name": "Jos" |
| }, |
| { |
| "lat": 29.85, |
| "lon": 31.26667, |
| "name": "Al Badrashayn" |
| }, |
| { |
| "lat": -27.25204, |
| "lon": 152.99226, |
| "name": "Kallangur" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Dembech’a, Gombi, Jos, Al Badrashayn, Kallangur?", |
| "ground_truth": { |
| "answer": "Kallangur", |
| "outlier_distance_km": 11758.5, |
| "second_furthest_km": 4390.0, |
| "clarity_ratio": 2.68, |
| "median_distance_km": 3970.3, |
| "distances_to_centroid": { |
| "Dembech’a": 1304.3, |
| "Gombi": 3970.3, |
| "Jos": 4390.0, |
| "Al Badrashayn": 3157.6, |
| "Kallangur": 11758.5 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Dembech’a: (10.55°, 37.48°)", |
| " Gombi: (10.17°, 12.74°)", |
| " Jos: (9.93°, 8.89°)", |
| " Al Badrashayn: (29.85°, 31.27°)", |
| " Kallangur: (-27.25°, 152.99°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Kallangur: 11758.5 km from centroid", |
| " Jos: 4390.0 km from centroid", |
| " Gombi: 3970.3 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Kallangur", |
| "FINAL ANSWER: Kallangur" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 10.01636, |
| "lon": 76.34168, |
| "name": "Kakkanad" |
| }, |
| { |
| "lat": 14.31812, |
| "lon": 120.76609, |
| "name": "Naic" |
| }, |
| { |
| "lat": 28.9629, |
| "lon": 106.92844, |
| "name": "Wansheng" |
| }, |
| { |
| "lat": 10.1624, |
| "lon": 123.7076, |
| "name": "San Fernando" |
| }, |
| { |
| "lat": -3.54281, |
| "lon": -45.60852, |
| "name": "Bom Jardim" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Kakkanad, Naic, Wansheng, San Fernando, Bom Jardim?", |
| "ground_truth": { |
| "answer": "Bom Jardim", |
| "outlier_distance_km": 13571.8, |
| "second_furthest_km": 5157.4, |
| "clarity_ratio": 2.63, |
| "median_distance_km": 4801.0, |
| "distances_to_centroid": { |
| "Kakkanad": 218.9, |
| "Naic": 4801.0, |
| "Wansheng": 3677.6, |
| "San Fernando": 5157.4, |
| "Bom Jardim": 13571.8 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Kakkanad: (10.02°, 76.34°)", |
| " Naic: (14.32°, 120.77°)", |
| " Wansheng: (28.96°, 106.93°)", |
| " San Fernando: (10.16°, 123.71°)", |
| " Bom Jardim: (-3.54°, -45.61°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Bom Jardim: 13571.8 km from centroid", |
| " San Fernando: 5157.4 km from centroid", |
| " Naic: 4801.0 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Bom Jardim", |
| "FINAL ANSWER: Bom Jardim" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 40.70365, |
| "lon": -89.40731, |
| "name": "Washington" |
| }, |
| { |
| "lat": 38.77261, |
| "lon": -77.22109, |
| "name": "West Springfield" |
| }, |
| { |
| "lat": 38.88584, |
| "lon": -94.53301, |
| "name": "Grandview" |
| }, |
| { |
| "lat": 22.74678, |
| "lon": -102.5188, |
| "name": "Guadalupe" |
| }, |
| { |
| "lat": -4.23116, |
| "lon": -69.93858, |
| "name": "Tabatinga" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Washington, West Springfield, Grandview, Guadalupe, Tabatinga?", |
| "ground_truth": { |
| "answer": "Tabatinga", |
| "outlier_distance_km": 3949.4, |
| "second_furthest_km": 1670.6, |
| "clarity_ratio": 2.36, |
| "median_distance_km": 1543.9, |
| "distances_to_centroid": { |
| "Washington": 1502.3, |
| "West Springfield": 1543.9, |
| "Grandview": 1470.6, |
| "Guadalupe": 1670.6, |
| "Tabatinga": 3949.4 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Washington: (40.70°, -89.41°)", |
| " West Springfield: (38.77°, -77.22°)", |
| " Grandview: (38.89°, -94.53°)", |
| " Guadalupe: (22.75°, -102.52°)", |
| " Tabatinga: (-4.23°, -69.94°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Tabatinga: 3949.4 km from centroid", |
| " Guadalupe: 1670.6 km from centroid", |
| " West Springfield: 1543.9 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Tabatinga", |
| "FINAL ANSWER: Tabatinga" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 59.70056, |
| "lon": 30.78472, |
| "name": "Nikol’skoye" |
| }, |
| { |
| "lat": 51.37, |
| "lon": 6.16806, |
| "name": "Venlo" |
| }, |
| { |
| "lat": 28.92313, |
| "lon": -13.66579, |
| "name": "Puerto del Carmen" |
| }, |
| { |
| "lat": 28.31122, |
| "lon": -16.41276, |
| "name": "Güimar" |
| }, |
| { |
| "lat": 33.59259, |
| "lon": -84.67294, |
| "name": "South Fulton" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Nikol’skoye, Venlo, Puerto del Carmen, Güimar, South Fulton?", |
| "ground_truth": { |
| "answer": "South Fulton", |
| "outlier_distance_km": 6029.0, |
| "second_furthest_km": 3830.2, |
| "clarity_ratio": 1.57, |
| "median_distance_km": 2066.2, |
| "distances_to_centroid": { |
| "Nikol’skoye": 3830.2, |
| "Venlo": 2066.2, |
| "Puerto del Carmen": 1285.5, |
| "Güimar": 1344.2, |
| "South Fulton": 6029.0 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Nikol’skoye: (59.70°, 30.78°)", |
| " Venlo: (51.37°, 6.17°)", |
| " Puerto del Carmen: (28.92°, -13.67°)", |
| " Güimar: (28.31°, -16.41°)", |
| " South Fulton: (33.59°, -84.67°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " South Fulton: 6029.0 km from centroid", |
| " Nikol’skoye: 3830.2 km from centroid", |
| " Venlo: 2066.2 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: South Fulton", |
| "FINAL ANSWER: South Fulton" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -37.82289, |
| "lon": 147.61041, |
| "name": "Bairnsdale" |
| }, |
| { |
| "lat": -37.58333, |
| "lon": 145.03333, |
| "name": "Wollert" |
| }, |
| { |
| "lat": -38.09968, |
| "lon": 145.17248, |
| "name": "Carrum Downs" |
| }, |
| { |
| "lat": -43.58333, |
| "lon": 172.38333, |
| "name": "Rolleston" |
| }, |
| { |
| "lat": 27.06309, |
| "lon": 31.34425, |
| "name": "As Sāḩil" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Bairnsdale, Wollert, Carrum Downs, Rolleston, As Sāḩil?", |
| "ground_truth": { |
| "answer": "As Sāḩil", |
| "outlier_distance_km": 11925.6, |
| "second_furthest_km": 4408.5, |
| "clarity_ratio": 2.71, |
| "median_distance_km": 2238.6, |
| "distances_to_centroid": { |
| "Bairnsdale": 2238.6, |
| "Wollert": 2032.9, |
| "Carrum Downs": 2075.8, |
| "Rolleston": 4408.5, |
| "As Sāḩil": 11925.6 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Bairnsdale: (-37.82°, 147.61°)", |
| " Wollert: (-37.58°, 145.03°)", |
| " Carrum Downs: (-38.10°, 145.17°)", |
| " Rolleston: (-43.58°, 172.38°)", |
| " As Sāḩil: (27.06°, 31.34°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " As Sāḩil: 11925.6 km from centroid", |
| " Rolleston: 4408.5 km from centroid", |
| " Bairnsdale: 2238.6 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: As Sāḩil", |
| "FINAL ANSWER: As Sāḩil" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 40.85677, |
| "lon": -74.12848, |
| "name": "Passaic" |
| }, |
| { |
| "lat": 20.06417, |
| "lon": -98.71722, |
| "name": "La Providencia Siglo XXI" |
| }, |
| { |
| "lat": 38.98872, |
| "lon": -76.98136, |
| "name": "Langley Park" |
| }, |
| { |
| "lat": 40.8351, |
| "lon": -73.13122, |
| "name": "Lake Ronkonkoma" |
| }, |
| { |
| "lat": -28.21298, |
| "lon": 153.53634, |
| "name": "Banora Point" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Passaic, La Providencia Siglo XXI, Langley Park, Lake Ronkonkoma, Banora Point?", |
| "ground_truth": { |
| "answer": "Banora Point", |
| "outlier_distance_km": 19036.5, |
| "second_furthest_km": 6669.1, |
| "clarity_ratio": 2.85, |
| "median_distance_km": 4456.5, |
| "distances_to_centroid": { |
| "Passaic": 4269.2, |
| "La Providencia Siglo XXI": 6669.1, |
| "Langley Park": 4456.5, |
| "Lake Ronkonkoma": 4188.1, |
| "Banora Point": 19036.5 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Passaic: (40.86°, -74.13°)", |
| " La Providencia Siglo XXI: (20.06°, -98.72°)", |
| " Langley Park: (38.99°, -76.98°)", |
| " Lake Ronkonkoma: (40.84°, -73.13°)", |
| " Banora Point: (-28.21°, 153.54°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Banora Point: 19036.5 km from centroid", |
| " La Providencia Siglo XXI: 6669.1 km from centroid", |
| " Langley Park: 4456.5 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Banora Point", |
| "FINAL ANSWER: Banora Point" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -33.88333, |
| "lon": 151.1, |
| "name": "Burwood" |
| }, |
| { |
| "lat": -32.05251, |
| "lon": 115.88782, |
| "name": "Willetton" |
| }, |
| { |
| "lat": -43.53333, |
| "lon": 172.63333, |
| "name": "Christchurch" |
| }, |
| { |
| "lat": -33.32711, |
| "lon": 115.64137, |
| "name": "Bunbury" |
| }, |
| { |
| "lat": 33.93807, |
| "lon": -118.35258, |
| "name": "Lennox" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Burwood, Willetton, Christchurch, Bunbury, Lennox?", |
| "ground_truth": { |
| "answer": "Lennox", |
| "outlier_distance_km": 17158.0, |
| "second_furthest_km": 7991.3, |
| "clarity_ratio": 2.15, |
| "median_distance_km": 6311.4, |
| "distances_to_centroid": { |
| "Burwood": 6311.4, |
| "Willetton": 3036.9, |
| "Christchurch": 7991.3, |
| "Bunbury": 3054.6, |
| "Lennox": 17158.0 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Burwood: (-33.88°, 151.10°)", |
| " Willetton: (-32.05°, 115.89°)", |
| " Christchurch: (-43.53°, 172.63°)", |
| " Bunbury: (-33.33°, 115.64°)", |
| " Lennox: (33.94°, -118.35°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Lennox: 17158.0 km from centroid", |
| " Christchurch: 7991.3 km from centroid", |
| " Burwood: 6311.4 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Lennox", |
| "FINAL ANSWER: Lennox" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -33.76667, |
| "lon": 150.91667, |
| "name": "Blacktown" |
| }, |
| { |
| "lat": -40.95972, |
| "lon": 175.6575, |
| "name": "Masterton" |
| }, |
| { |
| "lat": -32.06003, |
| "lon": 115.955, |
| "name": "Thornlie" |
| }, |
| { |
| "lat": -33.9209, |
| "lon": 151.12506, |
| "name": "Earlwood" |
| }, |
| { |
| "lat": 50.07139, |
| "lon": 8.85123, |
| "name": "Obertshausen" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Blacktown, Masterton, Thornlie, Earlwood, Obertshausen?", |
| "ground_truth": { |
| "answer": "Obertshausen", |
| "outlier_distance_km": 13078.9, |
| "second_furthest_km": 5795.6, |
| "clarity_ratio": 2.26, |
| "median_distance_km": 3507.3, |
| "distances_to_centroid": { |
| "Blacktown": 3483.0, |
| "Masterton": 5795.6, |
| "Thornlie": 1614.9, |
| "Earlwood": 3507.3, |
| "Obertshausen": 13078.9 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Blacktown: (-33.77°, 150.92°)", |
| " Masterton: (-40.96°, 175.66°)", |
| " Thornlie: (-32.06°, 115.95°)", |
| " Earlwood: (-33.92°, 151.13°)", |
| " Obertshausen: (50.07°, 8.85°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Obertshausen: 13078.9 km from centroid", |
| " Masterton: 5795.6 km from centroid", |
| " Earlwood: 3507.3 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Obertshausen", |
| "FINAL ANSWER: Obertshausen" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 53.05962, |
| "lon": 60.64125, |
| "name": "Kartaly" |
| }, |
| { |
| "lat": 50.78351, |
| "lon": -1.09071, |
| "name": "Southsea" |
| }, |
| { |
| "lat": 43.24622, |
| "lon": 5.39788, |
| "name": "Mazargues" |
| }, |
| { |
| "lat": 50.41342, |
| "lon": 36.92537, |
| "name": "Shebekino" |
| }, |
| { |
| "lat": 8.96727, |
| "lon": 76.54188, |
| "name": "Chavara" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Kartaly, Southsea, Mazargues, Shebekino, Chavara?", |
| "ground_truth": { |
| "answer": "Chavara", |
| "outlier_distance_km": 5379.8, |
| "second_furthest_km": 2991.3, |
| "clarity_ratio": 1.8, |
| "median_distance_km": 2487.7, |
| "distances_to_centroid": { |
| "Kartaly": 2276.7, |
| "Southsea": 2991.3, |
| "Mazargues": 2487.7, |
| "Shebekino": 1018.5, |
| "Chavara": 5379.8 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Kartaly: (53.06°, 60.64°)", |
| " Southsea: (50.78°, -1.09°)", |
| " Mazargues: (43.25°, 5.40°)", |
| " Shebekino: (50.41°, 36.93°)", |
| " Chavara: (8.97°, 76.54°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Chavara: 5379.8 km from centroid", |
| " Southsea: 2991.3 km from centroid", |
| " Mazargues: 2487.7 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Chavara", |
| "FINAL ANSWER: Chavara" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 38.81144, |
| "lon": -89.95316, |
| "name": "Edwardsville" |
| }, |
| { |
| "lat": 42.13919, |
| "lon": -87.92896, |
| "name": "Wheeling" |
| }, |
| { |
| "lat": 38.25424, |
| "lon": -85.75941, |
| "name": "Louisville" |
| }, |
| { |
| "lat": 40.57455, |
| "lon": -74.30209, |
| "name": "Colonia" |
| }, |
| { |
| "lat": -8.87556, |
| "lon": -36.36667, |
| "name": "São João" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Edwardsville, Wheeling, Louisville, Colonia, São João?", |
| "ground_truth": { |
| "answer": "São João", |
| "outlier_distance_km": 5980.0, |
| "second_furthest_km": 1768.9, |
| "clarity_ratio": 3.38, |
| "median_distance_km": 1679.7, |
| "distances_to_centroid": { |
| "Edwardsville": 1679.7, |
| "Wheeling": 1768.9, |
| "Louisville": 1343.5, |
| "Colonia": 1156.8, |
| "São João": 5980.0 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Edwardsville: (38.81°, -89.95°)", |
| " Wheeling: (42.14°, -87.93°)", |
| " Louisville: (38.25°, -85.76°)", |
| " Colonia: (40.57°, -74.30°)", |
| " São João: (-8.88°, -36.37°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " São João: 5980.0 km from centroid", |
| " Wheeling: 1768.9 km from centroid", |
| " Edwardsville: 1679.7 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: São João", |
| "FINAL ANSWER: São João" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 34.69926, |
| "lon": -86.74833, |
| "name": "Madison" |
| }, |
| { |
| "lat": 31.87149, |
| "lon": -116.60071, |
| "name": "Ensenada" |
| }, |
| { |
| "lat": 37.52021, |
| "lon": -122.2758, |
| "name": "Belmont" |
| }, |
| { |
| "lat": 39.28844, |
| "lon": -77.20387, |
| "name": "Damascus" |
| }, |
| { |
| "lat": -20.42833, |
| "lon": -47.82417, |
| "name": "Guará" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Madison, Ensenada, Belmont, Damascus, Guará?", |
| "ground_truth": { |
| "answer": "Guará", |
| "outlier_distance_km": 6781.9, |
| "second_furthest_km": 3360.5, |
| "clarity_ratio": 2.02, |
| "median_distance_km": 2708.5, |
| "distances_to_centroid": { |
| "Madison": 1170.4, |
| "Ensenada": 2708.5, |
| "Belmont": 3360.5, |
| "Damascus": 2034.6, |
| "Guará": 6781.9 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Madison: (34.70°, -86.75°)", |
| " Ensenada: (31.87°, -116.60°)", |
| " Belmont: (37.52°, -122.28°)", |
| " Damascus: (39.29°, -77.20°)", |
| " Guará: (-20.43°, -47.82°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Guará: 6781.9 km from centroid", |
| " Belmont: 3360.5 km from centroid", |
| " Ensenada: 2708.5 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Guará", |
| "FINAL ANSWER: Guará" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 40.87822, |
| "lon": 14.14352, |
| "name": "Quarto" |
| }, |
| { |
| "lat": 41.38125, |
| "lon": 2.11744, |
| "name": "la Maternitat i Sant Ramon" |
| }, |
| { |
| "lat": 48.79947, |
| "lon": 9.79809, |
| "name": "Schwäbisch Gmünd" |
| }, |
| { |
| "lat": 50.94159, |
| "lon": -2.63211, |
| "name": "Yeovil" |
| }, |
| { |
| "lat": -4.25667, |
| "lon": -43.01278, |
| "name": "Coelho Neto" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Quarto, la Maternitat i Sant Ramon, Schwäbisch Gmünd, Yeovil, Coelho Neto?", |
| "ground_truth": { |
| "answer": "Coelho Neto", |
| "outlier_distance_km": 6014.2, |
| "second_furthest_km": 1850.9, |
| "clarity_ratio": 3.25, |
| "median_distance_km": 1714.7, |
| "distances_to_centroid": { |
| "Quarto": 1681.6, |
| "la Maternitat i Sant Ramon": 834.2, |
| "Schwäbisch Gmünd": 1850.9, |
| "Yeovil": 1714.7, |
| "Coelho Neto": 6014.2 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Quarto: (40.88°, 14.14°)", |
| " la Maternitat i Sant Ramon: (41.38°, 2.12°)", |
| " Schwäbisch Gmünd: (48.80°, 9.80°)", |
| " Yeovil: (50.94°, -2.63°)", |
| " Coelho Neto: (-4.26°, -43.01°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Coelho Neto: 6014.2 km from centroid", |
| " Schwäbisch Gmünd: 1850.9 km from centroid", |
| " Yeovil: 1714.7 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Coelho Neto", |
| "FINAL ANSWER: Coelho Neto" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -37.74981, |
| "lon": 144.9109, |
| "name": "Essendon" |
| }, |
| { |
| "lat": -37.96944, |
| "lon": 145.04806, |
| "name": "Cheltenham" |
| }, |
| { |
| "lat": -37.83382, |
| "lon": 144.93834, |
| "name": "City of Port Phillip" |
| }, |
| { |
| "lat": -33.76667, |
| "lon": 150.91667, |
| "name": "Blacktown" |
| }, |
| { |
| "lat": 7.84855, |
| "lon": 4.32981, |
| "name": "Inisa" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Essendon, Cheltenham, City of Port Phillip, Blacktown, Inisa?", |
| "ground_truth": { |
| "answer": "Inisa", |
| "outlier_distance_km": 12739.5, |
| "second_furthest_km": 3193.2, |
| "clarity_ratio": 3.99, |
| "median_distance_km": 2746.2, |
| "distances_to_centroid": { |
| "Essendon": 2727.9, |
| "Cheltenham": 2746.2, |
| "City of Port Phillip": 2732.7, |
| "Blacktown": 3193.2, |
| "Inisa": 12739.5 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Essendon: (-37.75°, 144.91°)", |
| " Cheltenham: (-37.97°, 145.05°)", |
| " City of Port Phillip: (-37.83°, 144.94°)", |
| " Blacktown: (-33.77°, 150.92°)", |
| " Inisa: (7.85°, 4.33°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Inisa: 12739.5 km from centroid", |
| " Blacktown: 3193.2 km from centroid", |
| " Cheltenham: 2746.2 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Inisa", |
| "FINAL ANSWER: Inisa" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 31.35573, |
| "lon": 31.68484, |
| "name": "Kafr Sa‘d" |
| }, |
| { |
| "lat": -32.33083, |
| "lon": 28.14981, |
| "name": "Butterworth" |
| }, |
| { |
| "lat": 8.83784, |
| "lon": 3.75628, |
| "name": "Igboho" |
| }, |
| { |
| "lat": 27.3126, |
| "lon": 30.96987, |
| "name": "Manfalūţ" |
| }, |
| { |
| "lat": -33.95, |
| "lon": 151.13333, |
| "name": "Rockdale" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Kafr Sa‘d, Butterworth, Igboho, Manfalūţ, Rockdale?", |
| "ground_truth": { |
| "answer": "Rockdale", |
| "outlier_distance_km": 11126.8, |
| "second_furthest_km": 5114.8, |
| "clarity_ratio": 2.18, |
| "median_distance_km": 4239.8, |
| "distances_to_centroid": { |
| "Kafr Sa‘d": 3917.3, |
| "Butterworth": 4239.8, |
| "Igboho": 5114.8, |
| "Manfalūţ": 3580.7, |
| "Rockdale": 11126.8 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Kafr Sa‘d: (31.36°, 31.68°)", |
| " Butterworth: (-32.33°, 28.15°)", |
| " Igboho: (8.84°, 3.76°)", |
| " Manfalūţ: (27.31°, 30.97°)", |
| " Rockdale: (-33.95°, 151.13°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Rockdale: 11126.8 km from centroid", |
| " Igboho: 5114.8 km from centroid", |
| " Butterworth: 4239.8 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Rockdale", |
| "FINAL ANSWER: Rockdale" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -23.4837, |
| "lon": -46.41309, |
| "name": "Jardim Helena" |
| }, |
| { |
| "lat": -23.02639, |
| "lon": -45.55528, |
| "name": "Taubaté" |
| }, |
| { |
| "lat": -10.90889, |
| "lon": -37.03861, |
| "name": "Barra dos Coqueiros" |
| }, |
| { |
| "lat": -7.85583, |
| "lon": -35.58833, |
| "name": "João Alfredo" |
| }, |
| { |
| "lat": 40.75566, |
| "lon": -73.58763, |
| "name": "Westbury" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Jardim Helena, Taubaté, Barra dos Coqueiros, João Alfredo, Westbury?", |
| "ground_truth": { |
| "answer": "Westbury", |
| "outlier_distance_km": 5724.0, |
| "second_furthest_km": 2070.1, |
| "clarity_ratio": 2.77, |
| "median_distance_km": 2027.5, |
| "distances_to_centroid": { |
| "Jardim Helena": 2070.1, |
| "Taubaté": 2027.5, |
| "Barra dos Coqueiros": 1344.2, |
| "João Alfredo": 1371.1, |
| "Westbury": 5724.0 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Jardim Helena: (-23.48°, -46.41°)", |
| " Taubaté: (-23.03°, -45.56°)", |
| " Barra dos Coqueiros: (-10.91°, -37.04°)", |
| " João Alfredo: (-7.86°, -35.59°)", |
| " Westbury: (40.76°, -73.59°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Westbury: 5724.0 km from centroid", |
| " Jardim Helena: 2070.1 km from centroid", |
| " Taubaté: 2027.5 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Westbury", |
| "FINAL ANSWER: Westbury" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 22.61523, |
| "lon": 84.50208, |
| "name": "Simdega" |
| }, |
| { |
| "lat": 8.69264, |
| "lon": 76.79332, |
| "name": "Kīlattingal" |
| }, |
| { |
| "lat": 13.78126, |
| "lon": 100.64506, |
| "name": "Khlong Chan" |
| }, |
| { |
| "lat": 36.25449, |
| "lon": 140.37962, |
| "name": "Omitama" |
| }, |
| { |
| "lat": 50.45008, |
| "lon": -104.6178, |
| "name": "Regina" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Simdega, Kīlattingal, Khlong Chan, Omitama, Regina?", |
| "ground_truth": { |
| "answer": "Regina", |
| "outlier_distance_km": 11332.9, |
| "second_furthest_km": 7540.7, |
| "clarity_ratio": 1.5, |
| "median_distance_km": 4492.7, |
| "distances_to_centroid": { |
| "Simdega": 2555.9, |
| "Kīlattingal": 2677.4, |
| "Khlong Chan": 4492.7, |
| "Omitama": 7540.7, |
| "Regina": 11332.9 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Simdega: (22.62°, 84.50°)", |
| " Kīlattingal: (8.69°, 76.79°)", |
| " Khlong Chan: (13.78°, 100.65°)", |
| " Omitama: (36.25°, 140.38°)", |
| " Regina: (50.45°, -104.62°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Regina: 11332.9 km from centroid", |
| " Omitama: 7540.7 km from centroid", |
| " Khlong Chan: 4492.7 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Regina", |
| "FINAL ANSWER: Regina" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 12.00423, |
| "lon": 107.69074, |
| "name": "Gia Nghĩa" |
| }, |
| { |
| "lat": 2.6579, |
| "lon": 101.5629, |
| "name": "Tanjung Sepat" |
| }, |
| { |
| "lat": 34.73333, |
| "lon": 135.56667, |
| "name": "Moriguchi" |
| }, |
| { |
| "lat": 30.79834, |
| "lon": 108.37089, |
| "name": "Jiuchi" |
| }, |
| { |
| "lat": -2.90222, |
| "lon": -40.84111, |
| "name": "Camocim" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Gia Nghĩa, Tanjung Sepat, Moriguchi, Jiuchi, Camocim?", |
| "ground_truth": { |
| "answer": "Camocim", |
| "outlier_distance_km": 13658.0, |
| "second_furthest_km": 5686.0, |
| "clarity_ratio": 2.4, |
| "median_distance_km": 3136.9, |
| "distances_to_centroid": { |
| "Gia Nghĩa": 2749.5, |
| "Tanjung Sepat": 2530.0, |
| "Moriguchi": 5686.0, |
| "Jiuchi": 3136.9, |
| "Camocim": 13658.0 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Gia Nghĩa: (12.00°, 107.69°)", |
| " Tanjung Sepat: (2.66°, 101.56°)", |
| " Moriguchi: (34.73°, 135.57°)", |
| " Jiuchi: (30.80°, 108.37°)", |
| " Camocim: (-2.90°, -40.84°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Camocim: 13658.0 km from centroid", |
| " Moriguchi: 5686.0 km from centroid", |
| " Jiuchi: 3136.9 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Camocim", |
| "FINAL ANSWER: Camocim" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": -20.94944, |
| "lon": -48.47917, |
| "name": "Bebedouro" |
| }, |
| { |
| "lat": -7.56056, |
| "lon": -35.0025, |
| "name": "Goiana" |
| }, |
| { |
| "lat": -34.09584, |
| "lon": -59.02423, |
| "name": "Zárate" |
| }, |
| { |
| "lat": 8.27515, |
| "lon": -76.37641, |
| "name": "San Pedro de Urabá" |
| }, |
| { |
| "lat": 28.50254, |
| "lon": 77.23117, |
| "name": "Deoli" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Bebedouro, Goiana, Zárate, San Pedro de Urabá, Deoli?", |
| "ground_truth": { |
| "answer": "Deoli", |
| "outlier_distance_km": 11800.8, |
| "second_furthest_km": 5533.6, |
| "clarity_ratio": 2.13, |
| "median_distance_km": 4510.6, |
| "distances_to_centroid": { |
| "Bebedouro": 2793.9, |
| "Goiana": 783.9, |
| "Zárate": 4510.6, |
| "San Pedro de Urabá": 5533.6, |
| "Deoli": 11800.8 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Bebedouro: (-20.95°, -48.48°)", |
| " Goiana: (-7.56°, -35.00°)", |
| " Zárate: (-34.10°, -59.02°)", |
| " San Pedro de Urabá: (8.28°, -76.38°)", |
| " Deoli: (28.50°, 77.23°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Deoli: 11800.8 km from centroid", |
| " San Pedro de Urabá: 5533.6 km from centroid", |
| " Zárate: 4510.6 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Deoli", |
| "FINAL ANSWER: Deoli" |
| ] |
| }, |
| { |
| "task": "spatial_patterns", |
| "subtask": "outlier_detection", |
| "points": [ |
| { |
| "lat": 55.45978, |
| "lon": 38.44358, |
| "name": "Beloozyorskiy" |
| }, |
| { |
| "lat": 51.96236, |
| "lon": 7.62571, |
| "name": "Münster" |
| }, |
| { |
| "lat": 40.43533, |
| "lon": -3.6251, |
| "name": "Simancas" |
| }, |
| { |
| "lat": 48.99712, |
| "lon": 2.28249, |
| "name": "Eaubonne" |
| }, |
| { |
| "lat": 15.31771, |
| "lon": 78.22669, |
| "name": "Banganapalle" |
| } |
| ], |
| "question": "Which location is the geographic outlier among: Beloozyorskiy, Münster, Simancas, Eaubonne, Banganapalle?", |
| "ground_truth": { |
| "answer": "Banganapalle", |
| "outlier_distance_km": 5905.4, |
| "second_furthest_km": 2351.8, |
| "clarity_ratio": 2.51, |
| "median_distance_km": 1870.6, |
| "distances_to_centroid": { |
| "Beloozyorskiy": 1759.7, |
| "Münster": 1655.8, |
| "Simancas": 2351.8, |
| "Eaubonne": 1870.6, |
| "Banganapalle": 5905.4 |
| } |
| }, |
| "reasoning_steps": [ |
| "Step 1: Identify all points (5 locations)", |
| " Beloozyorskiy: (55.46°, 38.44°)", |
| " Münster: (51.96°, 7.63°)", |
| " Simancas: (40.44°, -3.63°)", |
| " Eaubonne: (49.00°, 2.28°)", |
| " Banganapalle: (15.32°, 78.23°)", |
| "Step 2: Calculate centroid of all points", |
| "Step 3: Calculate distance from each point to centroid", |
| " Banganapalle: 5905.4 km from centroid", |
| " Simancas: 2351.8 km from centroid", |
| " Eaubonne: 1870.6 km from centroid", |
| "Step 4: Identify geographic outlier (furthest from centroid)", |
| " Outlier: Banganapalle", |
| "FINAL ANSWER: Banganapalle" |
| ] |
| } |
| ] |
|
|
