diff --git "a/data/track_pure_gps/splits/task1_format_conversion_train.json" "b/data/track_pure_gps/splits/task1_format_conversion_train.json" new file mode 100644--- /dev/null +++ "b/data/track_pure_gps/splits/task1_format_conversion_train.json" @@ -0,0 +1,55680 @@ +[ + { + "task": "format_conversion", + "location_name": "Pando", + "source_format": "DMS", + "source_string": "34°43'1.8\"S, 55°57'30.2\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-34.717160, -55.958400", + "latitude": -34.71716, + "longitude": -55.9584 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 34°43'1.8\"S, 55°57'30.2\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -34.71716°", + "Step 4: Calculate longitude", + " Longitude: -55.9584°", + "FINAL ANSWER: -34.717160, -55.958400" + ] + }, + { + "task": "format_conversion", + "location_name": "Glace Bay", + "source_format": "decimal_degrees", + "source_string": "46.196950, -59.956980", + "target_format": "DMS", + "ground_truth": { + "target_string": "46°11'49.0\"N, 59°57'25.1\"W", + "latitude": 46.19695, + "longitude": -59.95698 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 46.196950, -59.956980", + " Latitude: 46.19695°", + " Longitude: -59.95698°", + "Step 2: Convert latitude to DMS", + " Degrees = 46", + " Minutes = int((46.196950 - 46) × 60) = 11", + " Seconds = ((46.196950 - 46) × 60 - 11) × 60 = 49.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 59", + " Minutes = 57", + " Seconds = 25.1", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 46°11'49.0\"N, 59°57'25.1\"W", + "FINAL ANSWER: 46°11'49.0\"N, 59°57'25.1\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Nefteyugansk", + "source_format": "decimal_degrees", + "source_string": "61.099790, 72.603490", + "target_format": "DMS", + "ground_truth": { + "target_string": "61°5'59.2\"N, 72°36'12.6\"E", + "latitude": 61.09979, + "longitude": 72.60349 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 61.099790, 72.603490", + " Latitude: 61.09979°", + " Longitude: 72.60349°", + "Step 2: Convert latitude to DMS", + " Degrees = 61", + " Minutes = int((61.099790 - 61) × 60) = 5", + " Seconds = ((61.099790 - 61) × 60 - 5) × 60 = 59.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 72", + " Minutes = 36", + " Seconds = 12.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 61°5'59.2\"N, 72°36'12.6\"E", + "FINAL ANSWER: 61°5'59.2\"N, 72°36'12.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Guindalera", + "source_format": "decimal_degrees", + "source_string": "40.436330, -3.666580", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°26'10.8\"N, 3°39'59.7\"W", + "latitude": 40.43633, + "longitude": -3.66658 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.436330, -3.666580", + " Latitude: 40.43633°", + " Longitude: -3.66658°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.436330 - 40) × 60) = 26", + " Seconds = ((40.436330 - 40) × 60 - 26) × 60 = 10.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 3", + " Minutes = 39", + " Seconds = 59.7", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 40°26'10.8\"N, 3°39'59.7\"W", + "FINAL ANSWER: 40°26'10.8\"N, 3°39'59.7\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Lüdinghausen", + "source_format": "decimal_degrees", + "source_string": "51.768300, 7.443790", + "target_format": "DMS", + "ground_truth": { + "target_string": "51°46'5.9\"N, 7°26'37.6\"E", + "latitude": 51.7683, + "longitude": 7.44379 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 51.768300, 7.443790", + " Latitude: 51.7683°", + " Longitude: 7.44379°", + "Step 2: Convert latitude to DMS", + " Degrees = 51", + " Minutes = int((51.768300 - 51) × 60) = 46", + " Seconds = ((51.768300 - 51) × 60 - 46) × 60 = 5.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 7", + " Minutes = 26", + " Seconds = 37.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 51°46'5.9\"N, 7°26'37.6\"E", + "FINAL ANSWER: 51°46'5.9\"N, 7°26'37.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Girardot City", + "source_format": "DMS", + "source_string": "4°18'2.8\"N, 74°48'27.1\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "4.300790, -74.807540", + "latitude": 4.30079, + "longitude": -74.80754 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 4°18'2.8\"N, 74°48'27.1\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 4.30079°", + "Step 4: Calculate longitude", + " Longitude: -74.80754°", + "FINAL ANSWER: 4.300790, -74.807540" + ] + }, + { + "task": "format_conversion", + "location_name": "Budapest XVI. kerület", + "source_format": "decimal_degrees", + "source_string": "47.514820, 19.170280", + "target_format": "DMS", + "ground_truth": { + "target_string": "47°30'53.4\"N, 19°10'13.0\"E", + "latitude": 47.51482, + "longitude": 19.17028 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 47.514820, 19.170280", + " Latitude: 47.51482°", + " Longitude: 19.17028°", + "Step 2: Convert latitude to DMS", + " Degrees = 47", + " Minutes = int((47.514820 - 47) × 60) = 30", + " Seconds = ((47.514820 - 47) × 60 - 30) × 60 = 53.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 19", + " Minutes = 10", + " Seconds = 13.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 47°30'53.4\"N, 19°10'13.0\"E", + "FINAL ANSWER: 47°30'53.4\"N, 19°10'13.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Jamālpur", + "source_format": "DMS", + "source_string": "24°55'10.7\"N, 89°56'53.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "24.919650, 89.948120", + "latitude": 24.91965, + "longitude": 89.94812 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 24°55'10.7\"N, 89°56'53.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 24.91965°", + "Step 4: Calculate longitude", + " Longitude: 89.94812°", + "FINAL ANSWER: 24.919650, 89.948120" + ] + }, + { + "task": "format_conversion", + "location_name": "Bouskoura", + "source_format": "DMS", + "source_string": "33°26'59.1\"N, 7°39'8.6\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "33.449760, -7.652390", + "latitude": 33.44976, + "longitude": -7.65239 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 33°26'59.1\"N, 7°39'8.6\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 33.44976°", + "Step 4: Calculate longitude", + " Longitude: -7.65239°", + "FINAL ANSWER: 33.449760, -7.652390" + ] + }, + { + "task": "format_conversion", + "location_name": "Luoyang", + "source_format": "decimal_degrees", + "source_string": "23.162440, 114.273420", + "target_format": "DMS", + "ground_truth": { + "target_string": "23°9'44.8\"N, 114°16'24.3\"E", + "latitude": 23.16244, + "longitude": 114.27342 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 23.162440, 114.273420", + " Latitude: 23.16244°", + " Longitude: 114.27342°", + "Step 2: Convert latitude to DMS", + " Degrees = 23", + " Minutes = int((23.162440 - 23) × 60) = 9", + " Seconds = ((23.162440 - 23) × 60 - 9) × 60 = 44.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 114", + " Minutes = 16", + " Seconds = 24.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 23°9'44.8\"N, 114°16'24.3\"E", + "FINAL ANSWER: 23°9'44.8\"N, 114°16'24.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Norden", + "source_format": "DMS", + "source_string": "53°35'43.8\"N, 7°12'22.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "53.595490, 7.206150", + "latitude": 53.59549, + "longitude": 7.20615 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 53°35'43.8\"N, 7°12'22.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 53.59549°", + "Step 4: Calculate longitude", + " Longitude: 7.20615°", + "FINAL ANSWER: 53.595490, 7.206150" + ] + }, + { + "task": "format_conversion", + "location_name": "Great Kills", + "source_format": "DD", + "source_string": "40.554270, -74.151530", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°33'15.4\"N, 74°9'5.5\"W", + "latitude": 40.55427, + "longitude": -74.15153 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: 40.554270, -74.151530", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 40°33'15.4\"N, 74°9'5.5\"W", + "FINAL ANSWER: 40°33'15.4\"N, 74°9'5.5\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Altoona", + "source_format": "DMS", + "source_string": "40°31'7.2\"N, 78°23'41.1\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.518680, -78.394740", + "latitude": 40.51868, + "longitude": -78.39474 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°31'7.2\"N, 78°23'41.1\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 40.51868°", + "Step 4: Calculate longitude", + " Longitude: -78.39474°", + "FINAL ANSWER: 40.518680, -78.394740" + ] + }, + { + "task": "format_conversion", + "location_name": "Khada", + "source_format": "DMS", + "source_string": "27°10'60.0\"N, 83°52'60.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "27.183330, 83.883330", + "latitude": 27.18333, + "longitude": 83.88333 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 27°10'60.0\"N, 83°52'60.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 27.18333°", + "Step 4: Calculate longitude", + " Longitude: 83.88333°", + "FINAL ANSWER: 27.183330, 83.883330" + ] + }, + { + "task": "format_conversion", + "location_name": "Nouméa", + "source_format": "DMS", + "source_string": "22°16'26.7\"S, 166°26'55.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-22.274070, 166.448840", + "latitude": -22.27407, + "longitude": 166.44884 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 22°16'26.7\"S, 166°26'55.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -22.27407°", + "Step 4: Calculate longitude", + " Longitude: 166.44884°", + "FINAL ANSWER: -22.274070, 166.448840" + ] + }, + { + "task": "format_conversion", + "location_name": "Raleigh", + "source_format": "decimal_degrees", + "source_string": "35.772100, -78.638610", + "target_format": "DMS", + "ground_truth": { + "target_string": "35°46'19.6\"N, 78°38'19.0\"W", + "latitude": 35.7721, + "longitude": -78.63861 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 35.772100, -78.638610", + " Latitude: 35.7721°", + " Longitude: -78.63861°", + "Step 2: Convert latitude to DMS", + " Degrees = 35", + " Minutes = int((35.772100 - 35) × 60) = 46", + " Seconds = ((35.772100 - 35) × 60 - 46) × 60 = 19.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 78", + " Minutes = 38", + " Seconds = 19.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 35°46'19.6\"N, 78°38'19.0\"W", + "FINAL ANSWER: 35°46'19.6\"N, 78°38'19.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Palangarai", + "source_format": "decimal_degrees", + "source_string": "11.197820, 77.305830", + "target_format": "DMS", + "ground_truth": { + "target_string": "11°11'52.2\"N, 77°18'21.0\"E", + "latitude": 11.19782, + "longitude": 77.30583 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 11.197820, 77.305830", + " Latitude: 11.19782°", + " Longitude: 77.30583°", + "Step 2: Convert latitude to DMS", + " Degrees = 11", + " Minutes = int((11.197820 - 11) × 60) = 11", + " Seconds = ((11.197820 - 11) × 60 - 11) × 60 = 52.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 77", + " Minutes = 18", + " Seconds = 21.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 11°11'52.2\"N, 77°18'21.0\"E", + "FINAL ANSWER: 11°11'52.2\"N, 77°18'21.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Hartley", + "source_format": "DMS", + "source_string": "51°23'12.2\"N, 0°18'13.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "51.386730, 0.303670", + "latitude": 51.38673, + "longitude": 0.30367 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 51°23'12.2\"N, 0°18'13.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 51.38673°", + "Step 4: Calculate longitude", + " Longitude: 0.30367°", + "FINAL ANSWER: 51.386730, 0.303670" + ] + }, + { + "task": "format_conversion", + "location_name": "Wandsbek", + "source_format": "decimal_degrees", + "source_string": "53.583340, 10.083050", + "target_format": "DMS", + "ground_truth": { + "target_string": "53°35'0.0\"N, 10°4'59.0\"E", + "latitude": 53.58334, + "longitude": 10.08305 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 53.583340, 10.083050", + " Latitude: 53.58334°", + " Longitude: 10.08305°", + "Step 2: Convert latitude to DMS", + " Degrees = 53", + " Minutes = int((53.583340 - 53) × 60) = 35", + " Seconds = ((53.583340 - 53) × 60 - 35) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 10", + " Minutes = 4", + " Seconds = 59.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 53°35'0.0\"N, 10°4'59.0\"E", + "FINAL ANSWER: 53°35'0.0\"N, 10°4'59.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Coulommiers", + "source_format": "DMS", + "source_string": "48°48'52.2\"N, 3°5'5.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "48.814510, 3.084980", + "latitude": 48.81451, + "longitude": 3.08498 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 48°48'52.2\"N, 3°5'5.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 48.81451°", + "Step 4: Calculate longitude", + " Longitude: 3.08498°", + "FINAL ANSWER: 48.814510, 3.084980" + ] + }, + { + "task": "format_conversion", + "location_name": "Várpalota", + "source_format": "DMS", + "source_string": "47°11'57.7\"N, 18°8'22.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "47.199360, 18.139540", + "latitude": 47.19936, + "longitude": 18.13954 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 47°11'57.7\"N, 18°8'22.3\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 47.19936°", + "Step 4: Calculate longitude", + " Longitude: 18.13954°", + "FINAL ANSWER: 47.199360, 18.139540" + ] + }, + { + "task": "format_conversion", + "location_name": "Culiacán", + "source_format": "decimal_degrees", + "source_string": "24.802090, -107.394210", + "target_format": "DMS", + "ground_truth": { + "target_string": "24°48'7.5\"N, 107°23'39.2\"W", + "latitude": 24.80209, + "longitude": -107.39421 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 24.802090, -107.394210", + " Latitude: 24.80209°", + " Longitude: -107.39421°", + "Step 2: Convert latitude to DMS", + " Degrees = 24", + " Minutes = int((24.802090 - 24) × 60) = 48", + " Seconds = ((24.802090 - 24) × 60 - 48) × 60 = 7.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 107", + " Minutes = 23", + " Seconds = 39.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 24°48'7.5\"N, 107°23'39.2\"W", + "FINAL ANSWER: 24°48'7.5\"N, 107°23'39.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Kapan", + "source_format": "DD", + "source_string": "39.207620, 46.406780", + "target_format": "DMS", + "ground_truth": { + "target_string": "39°12'27.4\"N, 46°24'24.4\"E", + "latitude": 39.20762, + "longitude": 46.40678 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: 39.207620, 46.406780", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 39°12'27.4\"N, 46°24'24.4\"E", + "FINAL ANSWER: 39°12'27.4\"N, 46°24'24.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Douar Toulal", + "source_format": "decimal_degrees", + "source_string": "33.884830, -5.596640", + "target_format": "DMS", + "ground_truth": { + "target_string": "33°53'5.4\"N, 5°35'47.9\"W", + "latitude": 33.88483, + "longitude": -5.59664 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 33.884830, -5.596640", + " Latitude: 33.88483°", + " Longitude: -5.59664°", + "Step 2: Convert latitude to DMS", + " Degrees = 33", + " Minutes = int((33.884830 - 33) × 60) = 53", + " Seconds = ((33.884830 - 33) × 60 - 53) × 60 = 5.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 5", + " Minutes = 35", + " Seconds = 47.9", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 33°53'5.4\"N, 5°35'47.9\"W", + "FINAL ANSWER: 33°53'5.4\"N, 5°35'47.9\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Utica", + "source_format": "DMS", + "source_string": "43°6'3.2\"N, 75°13'57.6\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "43.100900, -75.232660", + "latitude": 43.1009, + "longitude": -75.23266 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 43°6'3.2\"N, 75°13'57.6\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 43.1009°", + "Step 4: Calculate longitude", + " Longitude: -75.23266°", + "FINAL ANSWER: 43.100900, -75.232660" + ] + }, + { + "task": "format_conversion", + "location_name": "Weinan", + "source_format": "decimal_degrees", + "source_string": "34.503550, 109.508910", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°30'12.8\"N, 109°30'32.1\"E", + "latitude": 34.50355, + "longitude": 109.50891 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 34.503550, 109.508910", + " Latitude: 34.50355°", + " Longitude: 109.50891°", + "Step 2: Convert latitude to DMS", + " Degrees = 34", + " Minutes = int((34.503550 - 34) × 60) = 30", + " Seconds = ((34.503550 - 34) × 60 - 30) × 60 = 12.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 109", + " Minutes = 30", + " Seconds = 32.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 34°30'12.8\"N, 109°30'32.1\"E", + "FINAL ANSWER: 34°30'12.8\"N, 109°30'32.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Valle de La Pascua", + "source_format": "decimal_degrees", + "source_string": "9.215540, -66.007340", + "target_format": "DMS", + "ground_truth": { + "target_string": "9°12'55.9\"N, 66°0'26.4\"W", + "latitude": 9.21554, + "longitude": -66.00734 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 9.215540, -66.007340", + " Latitude: 9.21554°", + " Longitude: -66.00734°", + "Step 2: Convert latitude to DMS", + " Degrees = 9", + " Minutes = int((9.215540 - 9) × 60) = 12", + " Seconds = ((9.215540 - 9) × 60 - 12) × 60 = 55.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 66", + " Minutes = 0", + " Seconds = 26.4", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 9°12'55.9\"N, 66°0'26.4\"W", + "FINAL ANSWER: 9°12'55.9\"N, 66°0'26.4\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Manwath", + "source_format": "DMS", + "source_string": "19°18'4.8\"N, 76°29'50.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "19.301330, 76.497350", + "latitude": 19.30133, + "longitude": 76.49735 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 19°18'4.8\"N, 76°29'50.5\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 19.30133°", + "Step 4: Calculate longitude", + " Longitude: 76.49735°", + "FINAL ANSWER: 19.301330, 76.497350" + ] + }, + { + "task": "format_conversion", + "location_name": "Shertallai", + "source_format": "DMS", + "source_string": "9°41'8.9\"N, 76°20'23.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "9.685810, 76.339960", + "latitude": 9.68581, + "longitude": 76.33996 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 9°41'8.9\"N, 76°20'23.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 9.68581°", + "Step 4: Calculate longitude", + " Longitude: 76.33996°", + "FINAL ANSWER: 9.685810, 76.339960" + ] + }, + { + "task": "format_conversion", + "location_name": "Niscemi", + "source_format": "DMS", + "source_string": "37°8'47.4\"N, 14°23'37.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "37.146490, 14.393810", + "latitude": 37.14649, + "longitude": 14.39381 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 37°8'47.4\"N, 14°23'37.7\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 37.14649°", + "Step 4: Calculate longitude", + " Longitude: 14.39381°", + "FINAL ANSWER: 37.146490, 14.393810" + ] + }, + { + "task": "format_conversion", + "location_name": "Lipa City", + "source_format": "DMS", + "source_string": "13°56'28.0\"N, 121°9'47.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "13.941100, 121.163100", + "latitude": 13.9411, + "longitude": 121.1631 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 13°56'28.0\"N, 121°9'47.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 13.9411°", + "Step 4: Calculate longitude", + " Longitude: 121.1631°", + "FINAL ANSWER: 13.941100, 121.163100" + ] + }, + { + "task": "format_conversion", + "location_name": "Itajobi", + "source_format": "DMS", + "source_string": "21°19'5.0\"S, 49°3'16.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-21.318060, -49.054440", + "latitude": -21.31806, + "longitude": -49.05444 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 21°19'5.0\"S, 49°3'16.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -21.31806°", + "Step 4: Calculate longitude", + " Longitude: -49.05444°", + "FINAL ANSWER: -21.318060, -49.054440" + ] + }, + { + "task": "format_conversion", + "location_name": "Dardoq", + "source_format": "DMS", + "source_string": "40°48'57.0\"N, 72°49'54.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.815830, 72.831660", + "latitude": 40.81583, + "longitude": 72.83166 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°48'57.0\"N, 72°49'54.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 40.81583°", + "Step 4: Calculate longitude", + " Longitude: 72.83166°", + "FINAL ANSWER: 40.815830, 72.831660" + ] + }, + { + "task": "format_conversion", + "location_name": "Tha Muang", + "source_format": "decimal_degrees", + "source_string": "13.961180, 99.641220", + "target_format": "DMS", + "ground_truth": { + "target_string": "13°57'40.2\"N, 99°38'28.4\"E", + "latitude": 13.96118, + "longitude": 99.64122 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 13.961180, 99.641220", + " Latitude: 13.96118°", + " Longitude: 99.64122°", + "Step 2: Convert latitude to DMS", + " Degrees = 13", + " Minutes = int((13.961180 - 13) × 60) = 57", + " Seconds = ((13.961180 - 13) × 60 - 57) × 60 = 40.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 99", + " Minutes = 38", + " Seconds = 28.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 13°57'40.2\"N, 99°38'28.4\"E", + "FINAL ANSWER: 13°57'40.2\"N, 99°38'28.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Chapel Hill", + "source_format": "DMS", + "source_string": "35°54'47.5\"N, 79°3'21.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "35.913200, -79.055840", + "latitude": 35.9132, + "longitude": -79.05584 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 35°54'47.5\"N, 79°3'21.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 35.9132°", + "Step 4: Calculate longitude", + " Longitude: -79.05584°", + "FINAL ANSWER: 35.913200, -79.055840" + ] + }, + { + "task": "format_conversion", + "location_name": "Licha", + "source_format": "decimal_degrees", + "source_string": "36.057220, 119.783330", + "target_format": "DMS", + "ground_truth": { + "target_string": "36°3'26.0\"N, 119°46'60.0\"E", + "latitude": 36.05722, + "longitude": 119.78333 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 36.057220, 119.783330", + " Latitude: 36.05722°", + " Longitude: 119.78333°", + "Step 2: Convert latitude to DMS", + " Degrees = 36", + " Minutes = int((36.057220 - 36) × 60) = 3", + " Seconds = ((36.057220 - 36) × 60 - 3) × 60 = 26.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 119", + " Minutes = 46", + " Seconds = 60.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 36°3'26.0\"N, 119°46'60.0\"E", + "FINAL ANSWER: 36°3'26.0\"N, 119°46'60.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Caraguatatuba", + "source_format": "decimal_degrees", + "source_string": "-23.620280, -45.413060", + "target_format": "DMS", + "ground_truth": { + "target_string": "23°37'13.0\"S, 45°24'47.0\"W", + "latitude": -23.62028, + "longitude": -45.41306 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -23.620280, -45.413060", + " Latitude: -23.62028°", + " Longitude: -45.41306°", + "Step 2: Convert latitude to DMS", + " Degrees = 23", + " Minutes = int((23.620280 - 23) × 60) = 37", + " Seconds = ((23.620280 - 23) × 60 - 37) × 60 = 13.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 45", + " Minutes = 24", + " Seconds = 47.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 23°37'13.0\"S, 45°24'47.0\"W", + "FINAL ANSWER: 23°37'13.0\"S, 45°24'47.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Aluva", + "source_format": "decimal_degrees", + "source_string": "10.107640, 76.351580", + "target_format": "DMS", + "ground_truth": { + "target_string": "10°6'27.5\"N, 76°21'5.7\"E", + "latitude": 10.10764, + "longitude": 76.35158 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 10.107640, 76.351580", + " Latitude: 10.10764°", + " Longitude: 76.35158°", + "Step 2: Convert latitude to DMS", + " Degrees = 10", + " Minutes = int((10.107640 - 10) × 60) = 6", + " Seconds = ((10.107640 - 10) × 60 - 6) × 60 = 27.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 76", + " Minutes = 21", + " Seconds = 5.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 10°6'27.5\"N, 76°21'5.7\"E", + "FINAL ANSWER: 10°6'27.5\"N, 76°21'5.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Shuzenji", + "source_format": "DMS", + "source_string": "34°58'12.3\"N, 138°55'18.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "34.970080, 138.921870", + "latitude": 34.97008, + "longitude": 138.92187 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 34°58'12.3\"N, 138°55'18.7\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 34.97008°", + "Step 4: Calculate longitude", + " Longitude: 138.92187°", + "FINAL ANSWER: 34.970080, 138.921870" + ] + }, + { + "task": "format_conversion", + "location_name": "Santiago Atitlán", + "source_format": "decimal_degrees", + "source_string": "14.638230, -91.229010", + "target_format": "DMS", + "ground_truth": { + "target_string": "14°38'17.6\"N, 91°13'44.4\"W", + "latitude": 14.63823, + "longitude": -91.22901 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 14.638230, -91.229010", + " Latitude: 14.63823°", + " Longitude: -91.22901°", + "Step 2: Convert latitude to DMS", + " Degrees = 14", + " Minutes = int((14.638230 - 14) × 60) = 38", + " Seconds = ((14.638230 - 14) × 60 - 38) × 60 = 17.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 91", + " Minutes = 13", + " Seconds = 44.4", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 14°38'17.6\"N, 91°13'44.4\"W", + "FINAL ANSWER: 14°38'17.6\"N, 91°13'44.4\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Jāmadoba", + "source_format": "decimal_degrees", + "source_string": "23.716670, 86.400000", + "target_format": "DMS", + "ground_truth": { + "target_string": "23°43'0.0\"N, 86°24'0.0\"E", + "latitude": 23.71667, + "longitude": 86.4 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 23.716670, 86.400000", + " Latitude: 23.71667°", + " Longitude: 86.4°", + "Step 2: Convert latitude to DMS", + " Degrees = 23", + " Minutes = int((23.716670 - 23) × 60) = 43", + " Seconds = ((23.716670 - 23) × 60 - 43) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 86", + " Minutes = 24", + " Seconds = 0.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 23°43'0.0\"N, 86°24'0.0\"E", + "FINAL ANSWER: 23°43'0.0\"N, 86°24'0.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Gürsu", + "source_format": "decimal_degrees", + "source_string": "40.218760, 29.194870", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°13'7.5\"N, 29°11'41.5\"E", + "latitude": 40.21876, + "longitude": 29.19487 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.218760, 29.194870", + " Latitude: 40.21876°", + " Longitude: 29.19487°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.218760 - 40) × 60) = 13", + " Seconds = ((40.218760 - 40) × 60 - 13) × 60 = 7.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 29", + " Minutes = 11", + " Seconds = 41.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 40°13'7.5\"N, 29°11'41.5\"E", + "FINAL ANSWER: 40°13'7.5\"N, 29°11'41.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Chungju", + "source_format": "decimal_degrees", + "source_string": "36.976660, 127.928700", + "target_format": "DMS", + "ground_truth": { + "target_string": "36°58'36.0\"N, 127°55'43.3\"E", + "latitude": 36.97666, + "longitude": 127.9287 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 36.976660, 127.928700", + " Latitude: 36.97666°", + " Longitude: 127.9287°", + "Step 2: Convert latitude to DMS", + " Degrees = 36", + " Minutes = int((36.976660 - 36) × 60) = 58", + " Seconds = ((36.976660 - 36) × 60 - 58) × 60 = 36.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 127", + " Minutes = 55", + " Seconds = 43.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 36°58'36.0\"N, 127°55'43.3\"E", + "FINAL ANSWER: 36°58'36.0\"N, 127°55'43.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Pilāni", + "source_format": "decimal_degrees", + "source_string": "28.367250, 75.603520", + "target_format": "DMS", + "ground_truth": { + "target_string": "28°22'2.1\"N, 75°36'12.7\"E", + "latitude": 28.36725, + "longitude": 75.60352 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 28.367250, 75.603520", + " Latitude: 28.36725°", + " Longitude: 75.60352°", + "Step 2: Convert latitude to DMS", + " Degrees = 28", + " Minutes = int((28.367250 - 28) × 60) = 22", + " Seconds = ((28.367250 - 28) × 60 - 22) × 60 = 2.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 75", + " Minutes = 36", + " Seconds = 12.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 28°22'2.1\"N, 75°36'12.7\"E", + "FINAL ANSWER: 28°22'2.1\"N, 75°36'12.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Linda", + "source_format": "decimal_degrees", + "source_string": "39.127670, -121.550800", + "target_format": "DMS", + "ground_truth": { + "target_string": "39°7'39.6\"N, 121°33'2.9\"W", + "latitude": 39.12767, + "longitude": -121.5508 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 39.127670, -121.550800", + " Latitude: 39.12767°", + " Longitude: -121.5508°", + "Step 2: Convert latitude to DMS", + " Degrees = 39", + " Minutes = int((39.127670 - 39) × 60) = 7", + " Seconds = ((39.127670 - 39) × 60 - 7) × 60 = 39.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 121", + " Minutes = 33", + " Seconds = 2.9", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 39°7'39.6\"N, 121°33'2.9\"W", + "FINAL ANSWER: 39°7'39.6\"N, 121°33'2.9\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Phon Charoen", + "source_format": "DMS", + "source_string": "18°1'60.0\"N, 103°10'0.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "18.033330, 103.166670", + "latitude": 18.03333, + "longitude": 103.16667 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 18°1'60.0\"N, 103°10'0.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 18.03333°", + "Step 4: Calculate longitude", + " Longitude: 103.16667°", + "FINAL ANSWER: 18.033330, 103.166670" + ] + }, + { + "task": "format_conversion", + "location_name": "Lemoore", + "source_format": "DMS", + "source_string": "36°18'2.8\"N, 119°46'58.5\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "36.300780, -119.782910", + "latitude": 36.30078, + "longitude": -119.78291 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 36°18'2.8\"N, 119°46'58.5\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 36.30078°", + "Step 4: Calculate longitude", + " Longitude: -119.78291°", + "FINAL ANSWER: 36.300780, -119.782910" + ] + }, + { + "task": "format_conversion", + "location_name": "Xinmin", + "source_format": "DMS", + "source_string": "30°23'51.3\"N, 107°23'22.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "30.397590, 107.389500", + "latitude": 30.39759, + "longitude": 107.3895 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 30°23'51.3\"N, 107°23'22.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 30.39759°", + "Step 4: Calculate longitude", + " Longitude: 107.3895°", + "FINAL ANSWER: 30.397590, 107.389500" + ] + }, + { + "task": "format_conversion", + "location_name": "Wiener Neustadt", + "source_format": "decimal_degrees", + "source_string": "47.804850, 16.231960", + "target_format": "DMS", + "ground_truth": { + "target_string": "47°48'17.5\"N, 16°13'55.1\"E", + "latitude": 47.80485, + "longitude": 16.23196 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 47.804850, 16.231960", + " Latitude: 47.80485°", + " Longitude: 16.23196°", + "Step 2: Convert latitude to DMS", + " Degrees = 47", + " Minutes = int((47.804850 - 47) × 60) = 48", + " Seconds = ((47.804850 - 47) × 60 - 48) × 60 = 17.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 16", + " Minutes = 13", + " Seconds = 55.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 47°48'17.5\"N, 16°13'55.1\"E", + "FINAL ANSWER: 47°48'17.5\"N, 16°13'55.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Guareí", + "source_format": "decimal_degrees", + "source_string": "-23.372780, -48.184170", + "target_format": "DMS", + "ground_truth": { + "target_string": "23°22'22.0\"S, 48°11'3.0\"W", + "latitude": -23.37278, + "longitude": -48.18417 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -23.372780, -48.184170", + " Latitude: -23.37278°", + " Longitude: -48.18417°", + "Step 2: Convert latitude to DMS", + " Degrees = 23", + " Minutes = int((23.372780 - 23) × 60) = 22", + " Seconds = ((23.372780 - 23) × 60 - 22) × 60 = 22.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 48", + " Minutes = 11", + " Seconds = 3.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 23°22'22.0\"S, 48°11'3.0\"W", + "FINAL ANSWER: 23°22'22.0\"S, 48°11'3.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Royton", + "source_format": "DMS", + "source_string": "53°33'54.3\"N, 2°7'21.6\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "53.565070, -2.122670", + "latitude": 53.56507, + "longitude": -2.12267 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 53°33'54.3\"N, 2°7'21.6\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 53.56507°", + "Step 4: Calculate longitude", + " Longitude: -2.12267°", + "FINAL ANSWER: 53.565070, -2.122670" + ] + }, + { + "task": "format_conversion", + "location_name": "Jiamusi", + "source_format": "decimal_degrees", + "source_string": "46.797110, 130.311180", + "target_format": "DMS", + "ground_truth": { + "target_string": "46°47'49.6\"N, 130°18'40.2\"E", + "latitude": 46.79711, + "longitude": 130.31118 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 46.797110, 130.311180", + " Latitude: 46.79711°", + " Longitude: 130.31118°", + "Step 2: Convert latitude to DMS", + " Degrees = 46", + " Minutes = int((46.797110 - 46) × 60) = 47", + " Seconds = ((46.797110 - 46) × 60 - 47) × 60 = 49.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 130", + " Minutes = 18", + " Seconds = 40.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 46°47'49.6\"N, 130°18'40.2\"E", + "FINAL ANSWER: 46°47'49.6\"N, 130°18'40.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Sundakkāmpālaiyam", + "source_format": "decimal_degrees", + "source_string": "10.566590, 77.213540", + "target_format": "DMS", + "ground_truth": { + "target_string": "10°33'59.7\"N, 77°12'48.7\"E", + "latitude": 10.56659, + "longitude": 77.21354 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 10.566590, 77.213540", + " Latitude: 10.56659°", + " Longitude: 77.21354°", + "Step 2: Convert latitude to DMS", + " Degrees = 10", + " Minutes = int((10.566590 - 10) × 60) = 33", + " Seconds = ((10.566590 - 10) × 60 - 33) × 60 = 59.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 77", + " Minutes = 12", + " Seconds = 48.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 10°33'59.7\"N, 77°12'48.7\"E", + "FINAL ANSWER: 10°33'59.7\"N, 77°12'48.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "As Sadd", + "source_format": "DMS", + "source_string": "25°17'10.2\"N, 51°30'2.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "25.286170, 51.500740", + "latitude": 25.28617, + "longitude": 51.50074 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 25°17'10.2\"N, 51°30'2.7\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 25.28617°", + "Step 4: Calculate longitude", + " Longitude: 51.50074°", + "FINAL ANSWER: 25.286170, 51.500740" + ] + }, + { + "task": "format_conversion", + "location_name": "San Francisco De Borja", + "source_format": "decimal_degrees", + "source_string": "-12.089110, -76.998760", + "target_format": "DMS", + "ground_truth": { + "target_string": "12°5'20.8\"S, 76°59'55.5\"W", + "latitude": -12.08911, + "longitude": -76.99876 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -12.089110, -76.998760", + " Latitude: -12.08911°", + " Longitude: -76.99876°", + "Step 2: Convert latitude to DMS", + " Degrees = 12", + " Minutes = int((12.089110 - 12) × 60) = 5", + " Seconds = ((12.089110 - 12) × 60 - 5) × 60 = 20.8", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 76", + " Minutes = 59", + " Seconds = 55.5", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 12°5'20.8\"S, 76°59'55.5\"W", + "FINAL ANSWER: 12°5'20.8\"S, 76°59'55.5\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Faruka", + "source_format": "decimal_degrees", + "source_string": "31.886420, 72.413620", + "target_format": "DMS", + "ground_truth": { + "target_string": "31°53'11.1\"N, 72°24'49.0\"E", + "latitude": 31.88642, + "longitude": 72.41362 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 31.886420, 72.413620", + " Latitude: 31.88642°", + " Longitude: 72.41362°", + "Step 2: Convert latitude to DMS", + " Degrees = 31", + " Minutes = int((31.886420 - 31) × 60) = 53", + " Seconds = ((31.886420 - 31) × 60 - 53) × 60 = 11.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 72", + " Minutes = 24", + " Seconds = 49.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 31°53'11.1\"N, 72°24'49.0\"E", + "FINAL ANSWER: 31°53'11.1\"N, 72°24'49.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Camaçari", + "source_format": "decimal_degrees", + "source_string": "-12.697500, -38.324170", + "target_format": "DMS", + "ground_truth": { + "target_string": "12°41'51.0\"S, 38°19'27.0\"W", + "latitude": -12.6975, + "longitude": -38.32417 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -12.697500, -38.324170", + " Latitude: -12.6975°", + " Longitude: -38.32417°", + "Step 2: Convert latitude to DMS", + " Degrees = 12", + " Minutes = int((12.697500 - 12) × 60) = 41", + " Seconds = ((12.697500 - 12) × 60 - 41) × 60 = 51.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 38", + " Minutes = 19", + " Seconds = 27.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 12°41'51.0\"S, 38°19'27.0\"W", + "FINAL ANSWER: 12°41'51.0\"S, 38°19'27.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Bandar Saujana Utama", + "source_format": "DMS", + "source_string": "3°12'23.9\"N, 101°28'38.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "3.206630, 101.477290", + "latitude": 3.20663, + "longitude": 101.47729 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 3°12'23.9\"N, 101°28'38.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 3.20663°", + "Step 4: Calculate longitude", + " Longitude: 101.47729°", + "FINAL ANSWER: 3.206630, 101.477290" + ] + }, + { + "task": "format_conversion", + "location_name": "Gorakhpur", + "source_format": "DMS", + "source_string": "29°26'51.6\"N, 75°40'19.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "29.447680, 75.672060", + "latitude": 29.44768, + "longitude": 75.67206 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 29°26'51.6\"N, 75°40'19.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 29.44768°", + "Step 4: Calculate longitude", + " Longitude: 75.67206°", + "FINAL ANSWER: 29.447680, 75.672060" + ] + }, + { + "task": "format_conversion", + "location_name": "Sudak", + "source_format": "DMS", + "source_string": "44°50'57.3\"N, 34°58'29.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "44.849240, 34.974710", + "latitude": 44.84924, + "longitude": 34.97471 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 44°50'57.3\"N, 34°58'29.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 44.84924°", + "Step 4: Calculate longitude", + " Longitude: 34.97471°", + "FINAL ANSWER: 44.849240, 34.974710" + ] + }, + { + "task": "format_conversion", + "location_name": "Bisceglie", + "source_format": "decimal_degrees", + "source_string": "41.242640, 16.501040", + "target_format": "DMS", + "ground_truth": { + "target_string": "41°14'33.5\"N, 16°30'3.7\"E", + "latitude": 41.24264, + "longitude": 16.50104 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 41.242640, 16.501040", + " Latitude: 41.24264°", + " Longitude: 16.50104°", + "Step 2: Convert latitude to DMS", + " Degrees = 41", + " Minutes = int((41.242640 - 41) × 60) = 14", + " Seconds = ((41.242640 - 41) × 60 - 14) × 60 = 33.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 16", + " Minutes = 30", + " Seconds = 3.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 41°14'33.5\"N, 16°30'3.7\"E", + "FINAL ANSWER: 41°14'33.5\"N, 16°30'3.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Mutsu", + "source_format": "decimal_degrees", + "source_string": "41.289440, 141.216940", + "target_format": "DMS", + "ground_truth": { + "target_string": "41°17'22.0\"N, 141°13'1.0\"E", + "latitude": 41.28944, + "longitude": 141.21694 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 41.289440, 141.216940", + " Latitude: 41.28944°", + " Longitude: 141.21694°", + "Step 2: Convert latitude to DMS", + " Degrees = 41", + " Minutes = int((41.289440 - 41) × 60) = 17", + " Seconds = ((41.289440 - 41) × 60 - 17) × 60 = 22.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 141", + " Minutes = 13", + " Seconds = 1.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 41°17'22.0\"N, 141°13'1.0\"E", + "FINAL ANSWER: 41°17'22.0\"N, 141°13'1.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Wuzhou", + "source_format": "decimal_degrees", + "source_string": "23.480540, 111.288480", + "target_format": "DMS", + "ground_truth": { + "target_string": "23°28'49.9\"N, 111°17'18.5\"E", + "latitude": 23.48054, + "longitude": 111.28848 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 23.480540, 111.288480", + " Latitude: 23.48054°", + " Longitude: 111.28848°", + "Step 2: Convert latitude to DMS", + " Degrees = 23", + " Minutes = int((23.480540 - 23) × 60) = 28", + " Seconds = ((23.480540 - 23) × 60 - 28) × 60 = 49.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 111", + " Minutes = 17", + " Seconds = 18.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 23°28'49.9\"N, 111°17'18.5\"E", + "FINAL ANSWER: 23°28'49.9\"N, 111°17'18.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Khoroshëvo-Mnevniki", + "source_format": "DMS", + "source_string": "55°47'1.1\"N, 37°28'16.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "55.783630, 37.471370", + "latitude": 55.78363, + "longitude": 37.47137 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 55°47'1.1\"N, 37°28'16.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 55.78363°", + "Step 4: Calculate longitude", + " Longitude: 37.47137°", + "FINAL ANSWER: 55.783630, 37.471370" + ] + }, + { + "task": "format_conversion", + "location_name": "Ingenio", + "source_format": "DMS", + "source_string": "27°55'6.8\"N, 15°26'3.6\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "27.918550, -15.434330", + "latitude": 27.91855, + "longitude": -15.43433 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 27°55'6.8\"N, 15°26'3.6\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 27.91855°", + "Step 4: Calculate longitude", + " Longitude: -15.43433°", + "FINAL ANSWER: 27.918550, -15.434330" + ] + }, + { + "task": "format_conversion", + "location_name": "Tékane", + "source_format": "DMS", + "source_string": "16°36'6.3\"N, 15°20'55.2\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "16.601750, -15.348660", + "latitude": 16.60175, + "longitude": -15.34866 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 16°36'6.3\"N, 15°20'55.2\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 16.60175°", + "Step 4: Calculate longitude", + " Longitude: -15.34866°", + "FINAL ANSWER: 16.601750, -15.348660" + ] + }, + { + "task": "format_conversion", + "location_name": "Tuscaloosa", + "source_format": "DMS", + "source_string": "33°12'35.4\"N, 87°34'9.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "33.209840, -87.569170", + "latitude": 33.20984, + "longitude": -87.56917 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 33°12'35.4\"N, 87°34'9.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 33.20984°", + "Step 4: Calculate longitude", + " Longitude: -87.56917°", + "FINAL ANSWER: 33.209840, -87.569170" + ] + }, + { + "task": "format_conversion", + "location_name": "Gongmen", + "source_format": "decimal_degrees", + "source_string": "34.941390, 106.296390", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°56'29.0\"N, 106°17'47.0\"E", + "latitude": 34.94139, + "longitude": 106.29639 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 34.941390, 106.296390", + " Latitude: 34.94139°", + " Longitude: 106.29639°", + "Step 2: Convert latitude to DMS", + " Degrees = 34", + " Minutes = int((34.941390 - 34) × 60) = 56", + " Seconds = ((34.941390 - 34) × 60 - 56) × 60 = 29.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 106", + " Minutes = 17", + " Seconds = 47.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 34°56'29.0\"N, 106°17'47.0\"E", + "FINAL ANSWER: 34°56'29.0\"N, 106°17'47.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Gandia", + "source_format": "decimal_degrees", + "source_string": "38.966670, -0.183330", + "target_format": "DMS", + "ground_truth": { + "target_string": "38°58'0.0\"N, 0°10'60.0\"W", + "latitude": 38.96667, + "longitude": -0.18333 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 38.966670, -0.183330", + " Latitude: 38.96667°", + " Longitude: -0.18333°", + "Step 2: Convert latitude to DMS", + " Degrees = 38", + " Minutes = int((38.966670 - 38) × 60) = 58", + " Seconds = ((38.966670 - 38) × 60 - 58) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 0", + " Minutes = 10", + " Seconds = 60.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 38°58'0.0\"N, 0°10'60.0\"W", + "FINAL ANSWER: 38°58'0.0\"N, 0°10'60.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Amstelveen", + "source_format": "decimal_degrees", + "source_string": "52.300830, 4.863890", + "target_format": "DMS", + "ground_truth": { + "target_string": "52°18'3.0\"N, 4°51'50.0\"E", + "latitude": 52.30083, + "longitude": 4.86389 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 52.300830, 4.863890", + " Latitude: 52.30083°", + " Longitude: 4.86389°", + "Step 2: Convert latitude to DMS", + " Degrees = 52", + " Minutes = int((52.300830 - 52) × 60) = 18", + " Seconds = ((52.300830 - 52) × 60 - 18) × 60 = 3.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 4", + " Minutes = 51", + " Seconds = 50.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 52°18'3.0\"N, 4°51'50.0\"E", + "FINAL ANSWER: 52°18'3.0\"N, 4°51'50.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "New Smyrna Beach", + "source_format": "decimal_degrees", + "source_string": "29.025820, -80.927000", + "target_format": "DMS", + "ground_truth": { + "target_string": "29°1'33.0\"N, 80°55'37.2\"W", + "latitude": 29.02582, + "longitude": -80.927 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 29.025820, -80.927000", + " Latitude: 29.02582°", + " Longitude: -80.927°", + "Step 2: Convert latitude to DMS", + " Degrees = 29", + " Minutes = int((29.025820 - 29) × 60) = 1", + " Seconds = ((29.025820 - 29) × 60 - 1) × 60 = 33.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 80", + " Minutes = 55", + " Seconds = 37.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 29°1'33.0\"N, 80°55'37.2\"W", + "FINAL ANSWER: 29°1'33.0\"N, 80°55'37.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Becontree", + "source_format": "DMS", + "source_string": "51°33'10.4\"N, 0°7'44.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "51.552900, 0.129000", + "latitude": 51.5529, + "longitude": 0.129 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 51°33'10.4\"N, 0°7'44.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 51.5529°", + "Step 4: Calculate longitude", + " Longitude: 0.129°", + "FINAL ANSWER: 51.552900, 0.129000" + ] + }, + { + "task": "format_conversion", + "location_name": "Puebla", + "source_format": "DMS", + "source_string": "32°33'59.2\"N, 115°21'13.9\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "32.566450, -115.353870", + "latitude": 32.56645, + "longitude": -115.35387 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 32°33'59.2\"N, 115°21'13.9\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 32.56645°", + "Step 4: Calculate longitude", + " Longitude: -115.35387°", + "FINAL ANSWER: 32.566450, -115.353870" + ] + }, + { + "task": "format_conversion", + "location_name": "Cassano d'Adda", + "source_format": "decimal_degrees", + "source_string": "45.526370, 9.515280", + "target_format": "DMS", + "ground_truth": { + "target_string": "45°31'34.9\"N, 9°30'55.0\"E", + "latitude": 45.52637, + "longitude": 9.51528 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 45.526370, 9.515280", + " Latitude: 45.52637°", + " Longitude: 9.51528°", + "Step 2: Convert latitude to DMS", + " Degrees = 45", + " Minutes = int((45.526370 - 45) × 60) = 31", + " Seconds = ((45.526370 - 45) × 60 - 31) × 60 = 34.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 9", + " Minutes = 30", + " Seconds = 55.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 45°31'34.9\"N, 9°30'55.0\"E", + "FINAL ANSWER: 45°31'34.9\"N, 9°30'55.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Wudalike", + "source_format": "DMS", + "source_string": "38°21'42.5\"N, 77°7'47.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "38.361800, 77.129730", + "latitude": 38.3618, + "longitude": 77.12973 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 38°21'42.5\"N, 77°7'47.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 38.3618°", + "Step 4: Calculate longitude", + " Longitude: 77.12973°", + "FINAL ANSWER: 38.361800, 77.129730" + ] + }, + { + "task": "format_conversion", + "location_name": "Al Wāsiţah", + "source_format": "DMS", + "source_string": "29°20'16.0\"N, 31°12'20.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "29.337780, 31.205560", + "latitude": 29.33778, + "longitude": 31.20556 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 29°20'16.0\"N, 31°12'20.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 29.33778°", + "Step 4: Calculate longitude", + " Longitude: 31.20556°", + "FINAL ANSWER: 29.337780, 31.205560" + ] + }, + { + "task": "format_conversion", + "location_name": "Toamasina", + "source_format": "decimal_degrees", + "source_string": "-18.149200, 49.402340", + "target_format": "DMS", + "ground_truth": { + "target_string": "18°8'57.1\"S, 49°24'8.4\"E", + "latitude": -18.1492, + "longitude": 49.40234 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -18.149200, 49.402340", + " Latitude: -18.1492°", + " Longitude: 49.40234°", + "Step 2: Convert latitude to DMS", + " Degrees = 18", + " Minutes = int((18.149200 - 18) × 60) = 8", + " Seconds = ((18.149200 - 18) × 60 - 8) × 60 = 57.1", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 49", + " Minutes = 24", + " Seconds = 8.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 18°8'57.1\"S, 49°24'8.4\"E", + "FINAL ANSWER: 18°8'57.1\"S, 49°24'8.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Mangalmé", + "source_format": "decimal_degrees", + "source_string": "12.354600, 19.613900", + "target_format": "DMS", + "ground_truth": { + "target_string": "12°21'16.6\"N, 19°36'50.0\"E", + "latitude": 12.3546, + "longitude": 19.6139 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 12.354600, 19.613900", + " Latitude: 12.3546°", + " Longitude: 19.6139°", + "Step 2: Convert latitude to DMS", + " Degrees = 12", + " Minutes = int((12.354600 - 12) × 60) = 21", + " Seconds = ((12.354600 - 12) × 60 - 21) × 60 = 16.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 19", + " Minutes = 36", + " Seconds = 50.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 12°21'16.6\"N, 19°36'50.0\"E", + "FINAL ANSWER: 12°21'16.6\"N, 19°36'50.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Chemnitz", + "source_format": "DMS", + "source_string": "50°50'8.5\"N, 12°55'45.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "50.835700, 12.929220", + "latitude": 50.8357, + "longitude": 12.92922 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 50°50'8.5\"N, 12°55'45.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 50.8357°", + "Step 4: Calculate longitude", + " Longitude: 12.92922°", + "FINAL ANSWER: 50.835700, 12.929220" + ] + }, + { + "task": "format_conversion", + "location_name": "Nanshu", + "source_format": "decimal_degrees", + "source_string": "37.020140, 120.337310", + "target_format": "DMS", + "ground_truth": { + "target_string": "37°1'12.5\"N, 120°20'14.3\"E", + "latitude": 37.02014, + "longitude": 120.33731 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 37.020140, 120.337310", + " Latitude: 37.02014°", + " Longitude: 120.33731°", + "Step 2: Convert latitude to DMS", + " Degrees = 37", + " Minutes = int((37.020140 - 37) × 60) = 1", + " Seconds = ((37.020140 - 37) × 60 - 1) × 60 = 12.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 120", + " Minutes = 20", + " Seconds = 14.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 37°1'12.5\"N, 120°20'14.3\"E", + "FINAL ANSWER: 37°1'12.5\"N, 120°20'14.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Auburn", + "source_format": "decimal_degrees", + "source_string": "42.931730, -76.566050", + "target_format": "DMS", + "ground_truth": { + "target_string": "42°55'54.2\"N, 76°33'57.8\"W", + "latitude": 42.93173, + "longitude": -76.56605 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 42.931730, -76.566050", + " Latitude: 42.93173°", + " Longitude: -76.56605°", + "Step 2: Convert latitude to DMS", + " Degrees = 42", + " Minutes = int((42.931730 - 42) × 60) = 55", + " Seconds = ((42.931730 - 42) × 60 - 55) × 60 = 54.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 76", + " Minutes = 33", + " Seconds = 57.8", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 42°55'54.2\"N, 76°33'57.8\"W", + "FINAL ANSWER: 42°55'54.2\"N, 76°33'57.8\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Reims", + "source_format": "DMS", + "source_string": "49°15'54.9\"N, 4°1'42.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "49.265260, 4.028530", + "latitude": 49.26526, + "longitude": 4.02853 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 49°15'54.9\"N, 4°1'42.7\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 49.26526°", + "Step 4: Calculate longitude", + " Longitude: 4.02853°", + "FINAL ANSWER: 49.265260, 4.028530" + ] + }, + { + "task": "format_conversion", + "location_name": "Lucban", + "source_format": "DMS", + "source_string": "14°6'48.8\"N, 121°33'20.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "14.113560, 121.555740", + "latitude": 14.11356, + "longitude": 121.55574 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 14°6'48.8\"N, 121°33'20.7\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 14.11356°", + "Step 4: Calculate longitude", + " Longitude: 121.55574°", + "FINAL ANSWER: 14.113560, 121.555740" + ] + }, + { + "task": "format_conversion", + "location_name": "Metapán", + "source_format": "DMS", + "source_string": "14°19'60.0\"N, 89°27'0.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "14.333330, -89.450000", + "latitude": 14.33333, + "longitude": -89.45 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 14°19'60.0\"N, 89°27'0.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 14.33333°", + "Step 4: Calculate longitude", + " Longitude: -89.45°", + "FINAL ANSWER: 14.333330, -89.450000" + ] + }, + { + "task": "format_conversion", + "location_name": "Bramsche", + "source_format": "DMS", + "source_string": "52°24'31.7\"N, 7°58'22.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "52.408810, 7.972880", + "latitude": 52.40881, + "longitude": 7.97288 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 52°24'31.7\"N, 7°58'22.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 52.40881°", + "Step 4: Calculate longitude", + " Longitude: 7.97288°", + "FINAL ANSWER: 52.408810, 7.972880" + ] + }, + { + "task": "format_conversion", + "location_name": "Ankola", + "source_format": "DMS", + "source_string": "14°39'37.8\"N, 74°18'16.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "14.660490, 74.304700", + "latitude": 14.66049, + "longitude": 74.3047 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 14°39'37.8\"N, 74°18'16.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 14.66049°", + "Step 4: Calculate longitude", + " Longitude: 74.3047°", + "FINAL ANSWER: 14.660490, 74.304700" + ] + }, + { + "task": "format_conversion", + "location_name": "Myaydo", + "source_format": "decimal_degrees", + "source_string": "19.368380, 95.215120", + "target_format": "DMS", + "ground_truth": { + "target_string": "19°22'6.2\"N, 95°12'54.4\"E", + "latitude": 19.36838, + "longitude": 95.21512 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 19.368380, 95.215120", + " Latitude: 19.36838°", + " Longitude: 95.21512°", + "Step 2: Convert latitude to DMS", + " Degrees = 19", + " Minutes = int((19.368380 - 19) × 60) = 22", + " Seconds = ((19.368380 - 19) × 60 - 22) × 60 = 6.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 95", + " Minutes = 12", + " Seconds = 54.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 19°22'6.2\"N, 95°12'54.4\"E", + "FINAL ANSWER: 19°22'6.2\"N, 95°12'54.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Pokhara", + "source_format": "DMS", + "source_string": "28°16'0.8\"N, 83°58'6.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "28.266890, 83.968510", + "latitude": 28.26689, + "longitude": 83.96851 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 28°16'0.8\"N, 83°58'6.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 28.26689°", + "Step 4: Calculate longitude", + " Longitude: 83.96851°", + "FINAL ANSWER: 28.266890, 83.968510" + ] + }, + { + "task": "format_conversion", + "location_name": "Calabozo", + "source_format": "decimal_degrees", + "source_string": "8.924160, -67.429290", + "target_format": "DMS", + "ground_truth": { + "target_string": "8°55'27.0\"N, 67°25'45.4\"W", + "latitude": 8.92416, + "longitude": -67.42929 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 8.924160, -67.429290", + " Latitude: 8.92416°", + " Longitude: -67.42929°", + "Step 2: Convert latitude to DMS", + " Degrees = 8", + " Minutes = int((8.924160 - 8) × 60) = 55", + " Seconds = ((8.924160 - 8) × 60 - 55) × 60 = 27.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 67", + " Minutes = 25", + " Seconds = 45.4", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 8°55'27.0\"N, 67°25'45.4\"W", + "FINAL ANSWER: 8°55'27.0\"N, 67°25'45.4\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Phatthalung", + "source_format": "DMS", + "source_string": "7°37'4.3\"N, 100°4'40.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "7.617860, 100.077920", + "latitude": 7.61786, + "longitude": 100.07792 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 7°37'4.3\"N, 100°4'40.5\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 7.61786°", + "Step 4: Calculate longitude", + " Longitude: 100.07792°", + "FINAL ANSWER: 7.617860, 100.077920" + ] + }, + { + "task": "format_conversion", + "location_name": "Bishop Auckland", + "source_format": "decimal_degrees", + "source_string": "54.655540, -1.677060", + "target_format": "DMS", + "ground_truth": { + "target_string": "54°39'19.9\"N, 1°40'37.4\"W", + "latitude": 54.65554, + "longitude": -1.67706 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 54.655540, -1.677060", + " Latitude: 54.65554°", + " Longitude: -1.67706°", + "Step 2: Convert latitude to DMS", + " Degrees = 54", + " Minutes = int((54.655540 - 54) × 60) = 39", + " Seconds = ((54.655540 - 54) × 60 - 39) × 60 = 19.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 1", + " Minutes = 40", + " Seconds = 37.4", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 54°39'19.9\"N, 1°40'37.4\"W", + "FINAL ANSWER: 54°39'19.9\"N, 1°40'37.4\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Chivasso", + "source_format": "decimal_degrees", + "source_string": "45.190930, 7.889810", + "target_format": "DMS", + "ground_truth": { + "target_string": "45°11'27.3\"N, 7°53'23.3\"E", + "latitude": 45.19093, + "longitude": 7.88981 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 45.190930, 7.889810", + " Latitude: 45.19093°", + " Longitude: 7.88981°", + "Step 2: Convert latitude to DMS", + " Degrees = 45", + " Minutes = int((45.190930 - 45) × 60) = 11", + " Seconds = ((45.190930 - 45) × 60 - 11) × 60 = 27.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 7", + " Minutes = 53", + " Seconds = 23.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 45°11'27.3\"N, 7°53'23.3\"E", + "FINAL ANSWER: 45°11'27.3\"N, 7°53'23.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Mahudha", + "source_format": "DMS", + "source_string": "22°49'15.0\"N, 72°56'25.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "22.820820, 72.940320", + "latitude": 22.82082, + "longitude": 72.94032 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 22°49'15.0\"N, 72°56'25.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 22.82082°", + "Step 4: Calculate longitude", + " Longitude: 72.94032°", + "FINAL ANSWER: 22.820820, 72.940320" + ] + }, + { + "task": "format_conversion", + "location_name": "Vila Galvão", + "source_format": "decimal_degrees", + "source_string": "-23.471700, -46.579230", + "target_format": "DMS", + "ground_truth": { + "target_string": "23°28'18.1\"S, 46°34'45.2\"W", + "latitude": -23.4717, + "longitude": -46.57923 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -23.471700, -46.579230", + " Latitude: -23.4717°", + " Longitude: -46.57923°", + "Step 2: Convert latitude to DMS", + " Degrees = 23", + " Minutes = int((23.471700 - 23) × 60) = 28", + " Seconds = ((23.471700 - 23) × 60 - 28) × 60 = 18.1", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 46", + " Minutes = 34", + " Seconds = 45.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 23°28'18.1\"S, 46°34'45.2\"W", + "FINAL ANSWER: 23°28'18.1\"S, 46°34'45.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "North Bay Shore", + "source_format": "DMS", + "source_string": "40°45'10.8\"N, 73°15'36.7\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.753000, -73.260200", + "latitude": 40.753, + "longitude": -73.2602 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°45'10.8\"N, 73°15'36.7\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 40.753°", + "Step 4: Calculate longitude", + " Longitude: -73.2602°", + "FINAL ANSWER: 40.753000, -73.260200" + ] + }, + { + "task": "format_conversion", + "location_name": "Dunakeszi", + "source_format": "DMS", + "source_string": "47°38'11.1\"N, 19°8'19.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "47.636410, 19.138640", + "latitude": 47.63641, + "longitude": 19.13864 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 47°38'11.1\"N, 19°8'19.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 47.63641°", + "Step 4: Calculate longitude", + " Longitude: 19.13864°", + "FINAL ANSWER: 47.636410, 19.138640" + ] + }, + { + "task": "format_conversion", + "location_name": "Gigante", + "source_format": "DMS", + "source_string": "2°23'12.4\"N, 75°32'50.5\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "2.386780, -75.547360", + "latitude": 2.38678, + "longitude": -75.54736 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 2°23'12.4\"N, 75°32'50.5\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 2.38678°", + "Step 4: Calculate longitude", + " Longitude: -75.54736°", + "FINAL ANSWER: 2.386780, -75.547360" + ] + }, + { + "task": "format_conversion", + "location_name": "Chikhli", + "source_format": "decimal_degrees", + "source_string": "20.350460, 76.257740", + "target_format": "DMS", + "ground_truth": { + "target_string": "20°21'1.7\"N, 76°15'27.9\"E", + "latitude": 20.35046, + "longitude": 76.25774 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 20.350460, 76.257740", + " Latitude: 20.35046°", + " Longitude: 76.25774°", + "Step 2: Convert latitude to DMS", + " Degrees = 20", + " Minutes = int((20.350460 - 20) × 60) = 21", + " Seconds = ((20.350460 - 20) × 60 - 21) × 60 = 1.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 76", + " Minutes = 15", + " Seconds = 27.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 20°21'1.7\"N, 76°15'27.9\"E", + "FINAL ANSWER: 20°21'1.7\"N, 76°15'27.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Bhānpura", + "source_format": "decimal_degrees", + "source_string": "24.513000, 75.746900", + "target_format": "DMS", + "ground_truth": { + "target_string": "24°30'46.8\"N, 75°44'48.8\"E", + "latitude": 24.513, + "longitude": 75.7469 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 24.513000, 75.746900", + " Latitude: 24.513°", + " Longitude: 75.7469°", + "Step 2: Convert latitude to DMS", + " Degrees = 24", + " Minutes = int((24.513000 - 24) × 60) = 30", + " Seconds = ((24.513000 - 24) × 60 - 30) × 60 = 46.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 75", + " Minutes = 44", + " Seconds = 48.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 24°30'46.8\"N, 75°44'48.8\"E", + "FINAL ANSWER: 24°30'46.8\"N, 75°44'48.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Saligram", + "source_format": "decimal_degrees", + "source_string": "13.499080, 74.709430", + "target_format": "DMS", + "ground_truth": { + "target_string": "13°29'56.7\"N, 74°42'33.9\"E", + "latitude": 13.49908, + "longitude": 74.70943 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 13.499080, 74.709430", + " Latitude: 13.49908°", + " Longitude: 74.70943°", + "Step 2: Convert latitude to DMS", + " Degrees = 13", + " Minutes = int((13.499080 - 13) × 60) = 29", + " Seconds = ((13.499080 - 13) × 60 - 29) × 60 = 56.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 74", + " Minutes = 42", + " Seconds = 33.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 13°29'56.7\"N, 74°42'33.9\"E", + "FINAL ANSWER: 13°29'56.7\"N, 74°42'33.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Urucará", + "source_format": "decimal_degrees", + "source_string": "-2.536390, -57.760000", + "target_format": "DMS", + "ground_truth": { + "target_string": "2°32'11.0\"S, 57°45'36.0\"W", + "latitude": -2.53639, + "longitude": -57.76 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -2.536390, -57.760000", + " Latitude: -2.53639°", + " Longitude: -57.76°", + "Step 2: Convert latitude to DMS", + " Degrees = 2", + " Minutes = int((2.536390 - 2) × 60) = 32", + " Seconds = ((2.536390 - 2) × 60 - 32) × 60 = 11.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 57", + " Minutes = 45", + " Seconds = 36.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 2°32'11.0\"S, 57°45'36.0\"W", + "FINAL ANSWER: 2°32'11.0\"S, 57°45'36.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Gyeongju", + "source_format": "decimal_degrees", + "source_string": "35.842780, 129.211670", + "target_format": "DMS", + "ground_truth": { + "target_string": "35°50'34.0\"N, 129°12'42.0\"E", + "latitude": 35.84278, + "longitude": 129.21167 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 35.842780, 129.211670", + " Latitude: 35.84278°", + " Longitude: 129.21167°", + "Step 2: Convert latitude to DMS", + " Degrees = 35", + " Minutes = int((35.842780 - 35) × 60) = 50", + " Seconds = ((35.842780 - 35) × 60 - 50) × 60 = 34.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 129", + " Minutes = 12", + " Seconds = 42.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 35°50'34.0\"N, 129°12'42.0\"E", + "FINAL ANSWER: 35°50'34.0\"N, 129°12'42.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Rusape", + "source_format": "decimal_degrees", + "source_string": "-18.527850, 32.128430", + "target_format": "DMS", + "ground_truth": { + "target_string": "18°31'40.3\"S, 32°7'42.3\"E", + "latitude": -18.52785, + "longitude": 32.12843 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -18.527850, 32.128430", + " Latitude: -18.52785°", + " Longitude: 32.12843°", + "Step 2: Convert latitude to DMS", + " Degrees = 18", + " Minutes = int((18.527850 - 18) × 60) = 31", + " Seconds = ((18.527850 - 18) × 60 - 31) × 60 = 40.3", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 32", + " Minutes = 7", + " Seconds = 42.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 18°31'40.3\"S, 32°7'42.3\"E", + "FINAL ANSWER: 18°31'40.3\"S, 32°7'42.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Sārni", + "source_format": "decimal_degrees", + "source_string": "22.103170, 78.171590", + "target_format": "DMS", + "ground_truth": { + "target_string": "22°6'11.4\"N, 78°10'17.7\"E", + "latitude": 22.10317, + "longitude": 78.17159 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 22.103170, 78.171590", + " Latitude: 22.10317°", + " Longitude: 78.17159°", + "Step 2: Convert latitude to DMS", + " Degrees = 22", + " Minutes = int((22.103170 - 22) × 60) = 6", + " Seconds = ((22.103170 - 22) × 60 - 6) × 60 = 11.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 78", + " Minutes = 10", + " Seconds = 17.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 22°6'11.4\"N, 78°10'17.7\"E", + "FINAL ANSWER: 22°6'11.4\"N, 78°10'17.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Deltona", + "source_format": "decimal_degrees", + "source_string": "28.900540, -81.263670", + "target_format": "DMS", + "ground_truth": { + "target_string": "28°54'1.9\"N, 81°15'49.2\"W", + "latitude": 28.90054, + "longitude": -81.26367 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 28.900540, -81.263670", + " Latitude: 28.90054°", + " Longitude: -81.26367°", + "Step 2: Convert latitude to DMS", + " Degrees = 28", + " Minutes = int((28.900540 - 28) × 60) = 54", + " Seconds = ((28.900540 - 28) × 60 - 54) × 60 = 1.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 81", + " Minutes = 15", + " Seconds = 49.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 28°54'1.9\"N, 81°15'49.2\"W", + "FINAL ANSWER: 28°54'1.9\"N, 81°15'49.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "General Villegas", + "source_format": "DMS", + "source_string": "35°1'57.5\"S, 63°0'53.4\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-35.032640, -63.014840", + "latitude": -35.03264, + "longitude": -63.01484 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 35°1'57.5\"S, 63°0'53.4\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -35.03264°", + "Step 4: Calculate longitude", + " Longitude: -63.01484°", + "FINAL ANSWER: -35.032640, -63.014840" + ] + }, + { + "task": "format_conversion", + "location_name": "Northridge", + "source_format": "decimal_degrees", + "source_string": "34.228340, -118.536750", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°13'42.0\"N, 118°32'12.3\"W", + "latitude": 34.22834, + "longitude": -118.53675 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 34.228340, -118.536750", + " Latitude: 34.22834°", + " Longitude: -118.53675°", + "Step 2: Convert latitude to DMS", + " Degrees = 34", + " Minutes = int((34.228340 - 34) × 60) = 13", + " Seconds = ((34.228340 - 34) × 60 - 13) × 60 = 42.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 118", + " Minutes = 32", + " Seconds = 12.3", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 34°13'42.0\"N, 118°32'12.3\"W", + "FINAL ANSWER: 34°13'42.0\"N, 118°32'12.3\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Melíssia", + "source_format": "decimal_degrees", + "source_string": "38.050000, 23.833330", + "target_format": "DMS", + "ground_truth": { + "target_string": "38°2'60.0\"N, 23°49'60.0\"E", + "latitude": 38.05, + "longitude": 23.83333 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 38.050000, 23.833330", + " Latitude: 38.05°", + " Longitude: 23.83333°", + "Step 2: Convert latitude to DMS", + " Degrees = 38", + " Minutes = int((38.050000 - 38) × 60) = 2", + " Seconds = ((38.050000 - 38) × 60 - 2) × 60 = 60.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 23", + " Minutes = 49", + " Seconds = 60.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 38°2'60.0\"N, 23°49'60.0\"E", + "FINAL ANSWER: 38°2'60.0\"N, 23°49'60.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Piracuruca", + "source_format": "decimal_degrees", + "source_string": "-3.928060, -41.709170", + "target_format": "DMS", + "ground_truth": { + "target_string": "3°55'41.0\"S, 41°42'33.0\"W", + "latitude": -3.92806, + "longitude": -41.70917 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -3.928060, -41.709170", + " Latitude: -3.92806°", + " Longitude: -41.70917°", + "Step 2: Convert latitude to DMS", + " Degrees = 3", + " Minutes = int((3.928060 - 3) × 60) = 55", + " Seconds = ((3.928060 - 3) × 60 - 55) × 60 = 41.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 41", + " Minutes = 42", + " Seconds = 33.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 3°55'41.0\"S, 41°42'33.0\"W", + "FINAL ANSWER: 3°55'41.0\"S, 41°42'33.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Sakuradai", + "source_format": "DMS", + "source_string": "35°44'38.6\"N, 139°39'38.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "35.744050, 139.660710", + "latitude": 35.74405, + "longitude": 139.66071 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 35°44'38.6\"N, 139°39'38.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 35.74405°", + "Step 4: Calculate longitude", + " Longitude: 139.66071°", + "FINAL ANSWER: 35.744050, 139.660710" + ] + }, + { + "task": "format_conversion", + "location_name": "Wanchaq", + "source_format": "DMS", + "source_string": "13°31'29.7\"S, 71°57'55.1\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-13.524930, -71.965310", + "latitude": -13.52493, + "longitude": -71.96531 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 13°31'29.7\"S, 71°57'55.1\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -13.52493°", + "Step 4: Calculate longitude", + " Longitude: -71.96531°", + "FINAL ANSWER: -13.524930, -71.965310" + ] + }, + { + "task": "format_conversion", + "location_name": "Dassa-Zoumè", + "source_format": "decimal_degrees", + "source_string": "7.750000, 2.183330", + "target_format": "DMS", + "ground_truth": { + "target_string": "7°45'0.0\"N, 2°10'60.0\"E", + "latitude": 7.75, + "longitude": 2.18333 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 7.750000, 2.183330", + " Latitude: 7.75°", + " Longitude: 2.18333°", + "Step 2: Convert latitude to DMS", + " Degrees = 7", + " Minutes = int((7.750000 - 7) × 60) = 45", + " Seconds = ((7.750000 - 7) × 60 - 45) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 2", + " Minutes = 10", + " Seconds = 60.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 7°45'0.0\"N, 2°10'60.0\"E", + "FINAL ANSWER: 7°45'0.0\"N, 2°10'60.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Terrace Heights", + "source_format": "DMS", + "source_string": "40°43'17.4\"N, 73°46'9.5\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.721490, -73.769300", + "latitude": 40.72149, + "longitude": -73.7693 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°43'17.4\"N, 73°46'9.5\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 40.72149°", + "Step 4: Calculate longitude", + " Longitude: -73.7693°", + "FINAL ANSWER: 40.721490, -73.769300" + ] + }, + { + "task": "format_conversion", + "location_name": "Kičevo", + "source_format": "DMS", + "source_string": "41°30'45.9\"N, 20°57'31.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "41.512740, 20.958670", + "latitude": 41.51274, + "longitude": 20.95867 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 41°30'45.9\"N, 20°57'31.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 41.51274°", + "Step 4: Calculate longitude", + " Longitude: 20.95867°", + "FINAL ANSWER: 41.512740, 20.958670" + ] + }, + { + "task": "format_conversion", + "location_name": "San Fernando", + "source_format": "decimal_degrees", + "source_string": "15.034250, 120.684450", + "target_format": "DMS", + "ground_truth": { + "target_string": "15°2'3.3\"N, 120°41'4.0\"E", + "latitude": 15.03425, + "longitude": 120.68445 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 15.034250, 120.684450", + " Latitude: 15.03425°", + " Longitude: 120.68445°", + "Step 2: Convert latitude to DMS", + " Degrees = 15", + " Minutes = int((15.034250 - 15) × 60) = 2", + " Seconds = ((15.034250 - 15) × 60 - 2) × 60 = 3.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 120", + " Minutes = 41", + " Seconds = 4.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 15°2'3.3\"N, 120°41'4.0\"E", + "FINAL ANSWER: 15°2'3.3\"N, 120°41'4.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kyela", + "source_format": "DMS", + "source_string": "9°34'60.0\"S, 33°51'0.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-9.583330, 33.850000", + "latitude": -9.58333, + "longitude": 33.85 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 9°34'60.0\"S, 33°51'0.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -9.58333°", + "Step 4: Calculate longitude", + " Longitude: 33.85°", + "FINAL ANSWER: -9.583330, 33.850000" + ] + }, + { + "task": "format_conversion", + "location_name": "Novyi Rozdil", + "source_format": "decimal_degrees", + "source_string": "49.468640, 24.130450", + "target_format": "DMS", + "ground_truth": { + "target_string": "49°28'7.1\"N, 24°7'49.6\"E", + "latitude": 49.46864, + "longitude": 24.13045 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 49.468640, 24.130450", + " Latitude: 49.46864°", + " Longitude: 24.13045°", + "Step 2: Convert latitude to DMS", + " Degrees = 49", + " Minutes = int((49.468640 - 49) × 60) = 28", + " Seconds = ((49.468640 - 49) × 60 - 28) × 60 = 7.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 24", + " Minutes = 7", + " Seconds = 49.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 49°28'7.1\"N, 24°7'49.6\"E", + "FINAL ANSWER: 49°28'7.1\"N, 24°7'49.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Thaikkattussery", + "source_format": "DMS", + "source_string": "9°46'17.3\"N, 76°20'37.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "9.771470, 76.343850", + "latitude": 9.77147, + "longitude": 76.34385 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 9°46'17.3\"N, 76°20'37.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 9.77147°", + "Step 4: Calculate longitude", + " Longitude: 76.34385°", + "FINAL ANSWER: 9.771470, 76.343850" + ] + }, + { + "task": "format_conversion", + "location_name": "Huiqu", + "source_format": "DMS", + "source_string": "36°16'16.9\"N, 119°2'56.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "36.271360, 119.049030", + "latitude": 36.27136, + "longitude": 119.04903 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 36°16'16.9\"N, 119°2'56.5\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 36.27136°", + "Step 4: Calculate longitude", + " Longitude: 119.04903°", + "FINAL ANSWER: 36.271360, 119.049030" + ] + }, + { + "task": "format_conversion", + "location_name": "Buhi", + "source_format": "DMS", + "source_string": "13°25'55.9\"N, 123°31'1.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "13.432200, 123.517000", + "latitude": 13.4322, + "longitude": 123.517 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 13°25'55.9\"N, 123°31'1.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 13.4322°", + "Step 4: Calculate longitude", + " Longitude: 123.517°", + "FINAL ANSWER: 13.432200, 123.517000" + ] + }, + { + "task": "format_conversion", + "location_name": "Jiudian", + "source_format": "DMS", + "source_string": "36°59'30.5\"N, 120°12'14.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "36.991800, 120.204120", + "latitude": 36.9918, + "longitude": 120.20412 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 36°59'30.5\"N, 120°12'14.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 36.9918°", + "Step 4: Calculate longitude", + " Longitude: 120.20412°", + "FINAL ANSWER: 36.991800, 120.204120" + ] + }, + { + "task": "format_conversion", + "location_name": "la Nucia", + "source_format": "decimal_degrees", + "source_string": "38.613720, -0.126900", + "target_format": "DMS", + "ground_truth": { + "target_string": "38°36'49.4\"N, 0°7'36.8\"W", + "latitude": 38.61372, + "longitude": -0.1269 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 38.613720, -0.126900", + " Latitude: 38.61372°", + " Longitude: -0.1269°", + "Step 2: Convert latitude to DMS", + " Degrees = 38", + " Minutes = int((38.613720 - 38) × 60) = 36", + " Seconds = ((38.613720 - 38) × 60 - 36) × 60 = 49.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 0", + " Minutes = 7", + " Seconds = 36.8", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 38°36'49.4\"N, 0°7'36.8\"W", + "FINAL ANSWER: 38°36'49.4\"N, 0°7'36.8\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Manzanares", + "source_format": "DMS", + "source_string": "5°15'14.3\"N, 75°9'14.5\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "5.253970, -75.154030", + "latitude": 5.25397, + "longitude": -75.15403 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 5°15'14.3\"N, 75°9'14.5\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 5.25397°", + "Step 4: Calculate longitude", + " Longitude: -75.15403°", + "FINAL ANSWER: 5.253970, -75.154030" + ] + }, + { + "task": "format_conversion", + "location_name": "João Câmara", + "source_format": "DD", + "source_string": "-5.537500, -35.819720", + "target_format": "DMS", + "ground_truth": { + "target_string": "5°32'15.0\"S, 35°49'11.0\"W", + "latitude": -5.5375, + "longitude": -35.81972 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: -5.537500, -35.819720", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 5°32'15.0\"S, 35°49'11.0\"W", + "FINAL ANSWER: 5°32'15.0\"S, 35°49'11.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Lanaken", + "source_format": "decimal_degrees", + "source_string": "50.893180, 5.646800", + "target_format": "DMS", + "ground_truth": { + "target_string": "50°53'35.4\"N, 5°38'48.5\"E", + "latitude": 50.89318, + "longitude": 5.6468 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 50.893180, 5.646800", + " Latitude: 50.89318°", + " Longitude: 5.6468°", + "Step 2: Convert latitude to DMS", + " Degrees = 50", + " Minutes = int((50.893180 - 50) × 60) = 53", + " Seconds = ((50.893180 - 50) × 60 - 53) × 60 = 35.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 5", + " Minutes = 38", + " Seconds = 48.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 50°53'35.4\"N, 5°38'48.5\"E", + "FINAL ANSWER: 50°53'35.4\"N, 5°38'48.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "La Breita", + "source_format": "DMS", + "source_string": "4°15'24.9\"S, 80°53'9.6\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-4.256910, -80.885990", + "latitude": -4.25691, + "longitude": -80.88599 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 4°15'24.9\"S, 80°53'9.6\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -4.25691°", + "Step 4: Calculate longitude", + " Longitude: -80.88599°", + "FINAL ANSWER: -4.256910, -80.885990" + ] + }, + { + "task": "format_conversion", + "location_name": "Tanchang Chengguanzhen", + "source_format": "DD", + "source_string": "34.044620, 104.394640", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°2'40.6\"N, 104°23'40.7\"E", + "latitude": 34.04462, + "longitude": 104.39464 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: 34.044620, 104.394640", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 34°2'40.6\"N, 104°23'40.7\"E", + "FINAL ANSWER: 34°2'40.6\"N, 104°23'40.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Pyawbwe", + "source_format": "DMS", + "source_string": "20°35'30.9\"N, 96°3'7.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "20.591930, 96.052020", + "latitude": 20.59193, + "longitude": 96.05202 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 20°35'30.9\"N, 96°3'7.3\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 20.59193°", + "Step 4: Calculate longitude", + " Longitude: 96.05202°", + "FINAL ANSWER: 20.591930, 96.052020" + ] + }, + { + "task": "format_conversion", + "location_name": "Shahr Sultan", + "source_format": "decimal_degrees", + "source_string": "29.575170, 71.022090", + "target_format": "DMS", + "ground_truth": { + "target_string": "29°34'30.6\"N, 71°1'19.5\"E", + "latitude": 29.57517, + "longitude": 71.02209 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 29.575170, 71.022090", + " Latitude: 29.57517°", + " Longitude: 71.02209°", + "Step 2: Convert latitude to DMS", + " Degrees = 29", + " Minutes = int((29.575170 - 29) × 60) = 34", + " Seconds = ((29.575170 - 29) × 60 - 34) × 60 = 30.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 71", + " Minutes = 1", + " Seconds = 19.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 29°34'30.6\"N, 71°1'19.5\"E", + "FINAL ANSWER: 29°34'30.6\"N, 71°1'19.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Dingcheng", + "source_format": "decimal_degrees", + "source_string": "32.127220, 115.039440", + "target_format": "DMS", + "ground_truth": { + "target_string": "32°7'38.0\"N, 115°2'22.0\"E", + "latitude": 32.12722, + "longitude": 115.03944 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 32.127220, 115.039440", + " Latitude: 32.12722°", + " Longitude: 115.03944°", + "Step 2: Convert latitude to DMS", + " Degrees = 32", + " Minutes = int((32.127220 - 32) × 60) = 7", + " Seconds = ((32.127220 - 32) × 60 - 7) × 60 = 38.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 115", + " Minutes = 2", + " Seconds = 22.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 32°7'38.0\"N, 115°2'22.0\"E", + "FINAL ANSWER: 32°7'38.0\"N, 115°2'22.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Mae Sai", + "source_format": "decimal_degrees", + "source_string": "20.433530, 99.876170", + "target_format": "DMS", + "ground_truth": { + "target_string": "20°26'0.7\"N, 99°52'34.2\"E", + "latitude": 20.43353, + "longitude": 99.87617 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 20.433530, 99.876170", + " Latitude: 20.43353°", + " Longitude: 99.87617°", + "Step 2: Convert latitude to DMS", + " Degrees = 20", + " Minutes = int((20.433530 - 20) × 60) = 26", + " Seconds = ((20.433530 - 20) × 60 - 26) × 60 = 0.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 99", + " Minutes = 52", + " Seconds = 34.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 20°26'0.7\"N, 99°52'34.2\"E", + "FINAL ANSWER: 20°26'0.7\"N, 99°52'34.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Tajerouine", + "source_format": "decimal_degrees", + "source_string": "35.891740, 8.552760", + "target_format": "DMS", + "ground_truth": { + "target_string": "35°53'30.3\"N, 8°33'9.9\"E", + "latitude": 35.89174, + "longitude": 8.55276 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 35.891740, 8.552760", + " Latitude: 35.89174°", + " Longitude: 8.55276°", + "Step 2: Convert latitude to DMS", + " Degrees = 35", + " Minutes = int((35.891740 - 35) × 60) = 53", + " Seconds = ((35.891740 - 35) × 60 - 53) × 60 = 30.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 8", + " Minutes = 33", + " Seconds = 9.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 35°53'30.3\"N, 8°33'9.9\"E", + "FINAL ANSWER: 35°53'30.3\"N, 8°33'9.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Osdorf", + "source_format": "decimal_degrees", + "source_string": "53.579820, 9.858260", + "target_format": "DMS", + "ground_truth": { + "target_string": "53°34'47.4\"N, 9°51'29.7\"E", + "latitude": 53.57982, + "longitude": 9.85826 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 53.579820, 9.858260", + " Latitude: 53.57982°", + " Longitude: 9.85826°", + "Step 2: Convert latitude to DMS", + " Degrees = 53", + " Minutes = int((53.579820 - 53) × 60) = 34", + " Seconds = ((53.579820 - 53) × 60 - 34) × 60 = 47.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 9", + " Minutes = 51", + " Seconds = 29.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 53°34'47.4\"N, 9°51'29.7\"E", + "FINAL ANSWER: 53°34'47.4\"N, 9°51'29.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Mingshui", + "source_format": "DMS", + "source_string": "47°10'46.0\"N, 125°54'10.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "47.179440, 125.902840", + "latitude": 47.17944, + "longitude": 125.90284 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 47°10'46.0\"N, 125°54'10.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 47.17944°", + "Step 4: Calculate longitude", + " Longitude: 125.90284°", + "FINAL ANSWER: 47.179440, 125.902840" + ] + }, + { + "task": "format_conversion", + "location_name": "Vallejo", + "source_format": "DMS", + "source_string": "38°6'14.7\"N, 122°15'23.9\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "38.104090, -122.256640", + "latitude": 38.10409, + "longitude": -122.25664 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 38°6'14.7\"N, 122°15'23.9\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 38.10409°", + "Step 4: Calculate longitude", + " Longitude: -122.25664°", + "FINAL ANSWER: 38.104090, -122.256640" + ] + }, + { + "task": "format_conversion", + "location_name": "East Chicago", + "source_format": "DMS", + "source_string": "41°38'21.1\"N, 87°27'17.1\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "41.639200, -87.454760", + "latitude": 41.6392, + "longitude": -87.45476 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 41°38'21.1\"N, 87°27'17.1\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 41.6392°", + "Step 4: Calculate longitude", + " Longitude: -87.45476°", + "FINAL ANSWER: 41.639200, -87.454760" + ] + }, + { + "task": "format_conversion", + "location_name": "Tsurugashima", + "source_format": "DMS", + "source_string": "35°57'35.9\"N, 139°24'10.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "35.959960, 139.402830", + "latitude": 35.95996, + "longitude": 139.40283 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 35°57'35.9\"N, 139°24'10.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 35.95996°", + "Step 4: Calculate longitude", + " Longitude: 139.40283°", + "FINAL ANSWER: 35.959960, 139.402830" + ] + }, + { + "task": "format_conversion", + "location_name": "Faisalabad", + "source_format": "DMS", + "source_string": "31°24'55.9\"N, 73°5'22.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "31.415540, 73.089690", + "latitude": 31.41554, + "longitude": 73.08969 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 31°24'55.9\"N, 73°5'22.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 31.41554°", + "Step 4: Calculate longitude", + " Longitude: 73.08969°", + "FINAL ANSWER: 31.415540, 73.089690" + ] + }, + { + "task": "format_conversion", + "location_name": "Kottangara", + "source_format": "DMS", + "source_string": "8°55'26.8\"N, 76°38'48.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "8.924120, 76.646730", + "latitude": 8.92412, + "longitude": 76.64673 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 8°55'26.8\"N, 76°38'48.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 8.92412°", + "Step 4: Calculate longitude", + " Longitude: 76.64673°", + "FINAL ANSWER: 8.924120, 76.646730" + ] + }, + { + "task": "format_conversion", + "location_name": "Rahat", + "source_format": "decimal_degrees", + "source_string": "31.395470, 34.756990", + "target_format": "DMS", + "ground_truth": { + "target_string": "31°23'43.7\"N, 34°45'25.2\"E", + "latitude": 31.39547, + "longitude": 34.75699 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 31.395470, 34.756990", + " Latitude: 31.39547°", + " Longitude: 34.75699°", + "Step 2: Convert latitude to DMS", + " Degrees = 31", + " Minutes = int((31.395470 - 31) × 60) = 23", + " Seconds = ((31.395470 - 31) × 60 - 23) × 60 = 43.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 34", + " Minutes = 45", + " Seconds = 25.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 31°23'43.7\"N, 34°45'25.2\"E", + "FINAL ANSWER: 31°23'43.7\"N, 34°45'25.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Metamórfosi", + "source_format": "DMS", + "source_string": "38°3'56.7\"N, 23°45'48.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "38.065760, 23.763560", + "latitude": 38.06576, + "longitude": 23.76356 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 38°3'56.7\"N, 23°45'48.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 38.06576°", + "Step 4: Calculate longitude", + " Longitude: 23.76356°", + "FINAL ANSWER: 38.065760, 23.763560" + ] + }, + { + "task": "format_conversion", + "location_name": "Ath", + "source_format": "decimal_degrees", + "source_string": "50.629370, 3.778010", + "target_format": "DMS", + "ground_truth": { + "target_string": "50°37'45.7\"N, 3°46'40.8\"E", + "latitude": 50.62937, + "longitude": 3.77801 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 50.629370, 3.778010", + " Latitude: 50.62937°", + " Longitude: 3.77801°", + "Step 2: Convert latitude to DMS", + " Degrees = 50", + " Minutes = int((50.629370 - 50) × 60) = 37", + " Seconds = ((50.629370 - 50) × 60 - 37) × 60 = 45.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 3", + " Minutes = 46", + " Seconds = 40.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 50°37'45.7\"N, 3°46'40.8\"E", + "FINAL ANSWER: 50°37'45.7\"N, 3°46'40.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Tacaratu", + "source_format": "DD", + "source_string": "-9.105280, -38.149170", + "target_format": "DMS", + "ground_truth": { + "target_string": "9°6'19.0\"S, 38°8'57.0\"W", + "latitude": -9.10528, + "longitude": -38.14917 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: -9.105280, -38.149170", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 9°6'19.0\"S, 38°8'57.0\"W", + "FINAL ANSWER: 9°6'19.0\"S, 38°8'57.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Kumla", + "source_format": "DMS", + "source_string": "59°7'39.7\"N, 15°8'36.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "59.127700, 15.143410", + "latitude": 59.1277, + "longitude": 15.14341 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 59°7'39.7\"N, 15°8'36.3\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 59.1277°", + "Step 4: Calculate longitude", + " Longitude: 15.14341°", + "FINAL ANSWER: 59.127700, 15.143410" + ] + }, + { + "task": "format_conversion", + "location_name": "Pradl", + "source_format": "DMS", + "source_string": "47°15'55.4\"N, 11°24'54.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "47.265390, 11.415200", + "latitude": 47.26539, + "longitude": 11.4152 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 47°15'55.4\"N, 11°24'54.7\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 47.26539°", + "Step 4: Calculate longitude", + " Longitude: 11.4152°", + "FINAL ANSWER: 47.265390, 11.415200" + ] + }, + { + "task": "format_conversion", + "location_name": "San Giovanni in Fiore", + "source_format": "DD", + "source_string": "39.254460, 16.696990", + "target_format": "DMS", + "ground_truth": { + "target_string": "39°15'16.1\"N, 16°41'49.2\"E", + "latitude": 39.25446, + "longitude": 16.69699 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: 39.254460, 16.696990", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 39°15'16.1\"N, 16°41'49.2\"E", + "FINAL ANSWER: 39°15'16.1\"N, 16°41'49.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Méchouar-Kasba", + "source_format": "DMS", + "source_string": "31°36'2.9\"N, 7°59'11.5\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "31.600800, -7.986530", + "latitude": 31.6008, + "longitude": -7.98653 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 31°36'2.9\"N, 7°59'11.5\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 31.6008°", + "Step 4: Calculate longitude", + " Longitude: -7.98653°", + "FINAL ANSWER: 31.600800, -7.986530" + ] + }, + { + "task": "format_conversion", + "location_name": "Tungipāra", + "source_format": "DMS", + "source_string": "22°53'59.4\"N, 89°54'11.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "22.899830, 89.903260", + "latitude": 22.89983, + "longitude": 89.90326 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 22°53'59.4\"N, 89°54'11.7\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 22.89983°", + "Step 4: Calculate longitude", + " Longitude: 89.90326°", + "FINAL ANSWER: 22.899830, 89.903260" + ] + }, + { + "task": "format_conversion", + "location_name": "Nīlokheri", + "source_format": "DMS", + "source_string": "29°50'12.2\"N, 76°55'54.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "29.836710, 76.931910", + "latitude": 29.83671, + "longitude": 76.93191 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 29°50'12.2\"N, 76°55'54.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 29.83671°", + "Step 4: Calculate longitude", + " Longitude: 76.93191°", + "FINAL ANSWER: 29.836710, 76.931910" + ] + }, + { + "task": "format_conversion", + "location_name": "Roswell", + "source_format": "DMS", + "source_string": "34°1'23.4\"N, 84°21'41.7\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "34.023160, -84.361590", + "latitude": 34.02316, + "longitude": -84.36159 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 34°1'23.4\"N, 84°21'41.7\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 34.02316°", + "Step 4: Calculate longitude", + " Longitude: -84.36159°", + "FINAL ANSWER: 34.023160, -84.361590" + ] + }, + { + "task": "format_conversion", + "location_name": "Aricanduva", + "source_format": "DD", + "source_string": "-23.573810, -46.515610", + "target_format": "DMS", + "ground_truth": { + "target_string": "23°34'25.7\"S, 46°30'56.2\"W", + "latitude": -23.57381, + "longitude": -46.51561 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: -23.573810, -46.515610", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 23°34'25.7\"S, 46°30'56.2\"W", + "FINAL ANSWER: 23°34'25.7\"S, 46°30'56.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Kiyose", + "source_format": "decimal_degrees", + "source_string": "35.779520, 139.530140", + "target_format": "DMS", + "ground_truth": { + "target_string": "35°46'46.3\"N, 139°31'48.5\"E", + "latitude": 35.77952, + "longitude": 139.53014 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 35.779520, 139.530140", + " Latitude: 35.77952°", + " Longitude: 139.53014°", + "Step 2: Convert latitude to DMS", + " Degrees = 35", + " Minutes = int((35.779520 - 35) × 60) = 46", + " Seconds = ((35.779520 - 35) × 60 - 46) × 60 = 46.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 139", + " Minutes = 31", + " Seconds = 48.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 35°46'46.3\"N, 139°31'48.5\"E", + "FINAL ANSWER: 35°46'46.3\"N, 139°31'48.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Nevinnomyssk", + "source_format": "decimal_degrees", + "source_string": "44.633300, 41.944400", + "target_format": "DMS", + "ground_truth": { + "target_string": "44°37'59.9\"N, 41°56'39.8\"E", + "latitude": 44.6333, + "longitude": 41.9444 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 44.633300, 41.944400", + " Latitude: 44.6333°", + " Longitude: 41.9444°", + "Step 2: Convert latitude to DMS", + " Degrees = 44", + " Minutes = int((44.633300 - 44) × 60) = 37", + " Seconds = ((44.633300 - 44) × 60 - 37) × 60 = 59.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 41", + " Minutes = 56", + " Seconds = 39.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 44°37'59.9\"N, 41°56'39.8\"E", + "FINAL ANSWER: 44°37'59.9\"N, 41°56'39.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Staré Strašnice", + "source_format": "decimal_degrees", + "source_string": "50.076490, 14.510370", + "target_format": "DMS", + "ground_truth": { + "target_string": "50°4'35.4\"N, 14°30'37.3\"E", + "latitude": 50.07649, + "longitude": 14.51037 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 50.076490, 14.510370", + " Latitude: 50.07649°", + " Longitude: 14.51037°", + "Step 2: Convert latitude to DMS", + " Degrees = 50", + " Minutes = int((50.076490 - 50) × 60) = 4", + " Seconds = ((50.076490 - 50) × 60 - 4) × 60 = 35.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 14", + " Minutes = 30", + " Seconds = 37.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 50°4'35.4\"N, 14°30'37.3\"E", + "FINAL ANSWER: 50°4'35.4\"N, 14°30'37.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Heiloo", + "source_format": "decimal_degrees", + "source_string": "52.602520, 4.688150", + "target_format": "DMS", + "ground_truth": { + "target_string": "52°36'9.1\"N, 4°41'17.3\"E", + "latitude": 52.60252, + "longitude": 4.68815 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 52.602520, 4.688150", + " Latitude: 52.60252°", + " Longitude: 4.68815°", + "Step 2: Convert latitude to DMS", + " Degrees = 52", + " Minutes = int((52.602520 - 52) × 60) = 36", + " Seconds = ((52.602520 - 52) × 60 - 36) × 60 = 9.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 4", + " Minutes = 41", + " Seconds = 17.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 52°36'9.1\"N, 4°41'17.3\"E", + "FINAL ANSWER: 52°36'9.1\"N, 4°41'17.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Sugai", + "source_format": "decimal_degrees", + "source_string": "34.754840, 135.796840", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°45'17.4\"N, 135°47'48.6\"E", + "latitude": 34.75484, + "longitude": 135.79684 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 34.754840, 135.796840", + " Latitude: 34.75484°", + " Longitude: 135.79684°", + "Step 2: Convert latitude to DMS", + " Degrees = 34", + " Minutes = int((34.754840 - 34) × 60) = 45", + " Seconds = ((34.754840 - 34) × 60 - 45) × 60 = 17.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 135", + " Minutes = 47", + " Seconds = 48.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 34°45'17.4\"N, 135°47'48.6\"E", + "FINAL ANSWER: 34°45'17.4\"N, 135°47'48.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Muğla", + "source_format": "DMS", + "source_string": "37°13'5.1\"N, 28°21'59.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "37.218070, 28.366500", + "latitude": 37.21807, + "longitude": 28.3665 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 37°13'5.1\"N, 28°21'59.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 37.21807°", + "Step 4: Calculate longitude", + " Longitude: 28.3665°", + "FINAL ANSWER: 37.218070, 28.366500" + ] + }, + { + "task": "format_conversion", + "location_name": "Guixi", + "source_format": "decimal_degrees", + "source_string": "30.333550, 107.345450", + "target_format": "DMS", + "ground_truth": { + "target_string": "30°20'0.8\"N, 107°20'43.6\"E", + "latitude": 30.33355, + "longitude": 107.34545 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 30.333550, 107.345450", + " Latitude: 30.33355°", + " Longitude: 107.34545°", + "Step 2: Convert latitude to DMS", + " Degrees = 30", + " Minutes = int((30.333550 - 30) × 60) = 20", + " Seconds = ((30.333550 - 30) × 60 - 20) × 60 = 0.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 107", + " Minutes = 20", + " Seconds = 43.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 30°20'0.8\"N, 107°20'43.6\"E", + "FINAL ANSWER: 30°20'0.8\"N, 107°20'43.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Bangangté", + "source_format": "decimal_degrees", + "source_string": "5.140790, 10.525350", + "target_format": "DMS", + "ground_truth": { + "target_string": "5°8'26.8\"N, 10°31'31.3\"E", + "latitude": 5.14079, + "longitude": 10.52535 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 5.140790, 10.525350", + " Latitude: 5.14079°", + " Longitude: 10.52535°", + "Step 2: Convert latitude to DMS", + " Degrees = 5", + " Minutes = int((5.140790 - 5) × 60) = 8", + " Seconds = ((5.140790 - 5) × 60 - 8) × 60 = 26.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 10", + " Minutes = 31", + " Seconds = 31.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 5°8'26.8\"N, 10°31'31.3\"E", + "FINAL ANSWER: 5°8'26.8\"N, 10°31'31.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Xai-Xai", + "source_format": "decimal_degrees", + "source_string": "-25.051940, 33.644170", + "target_format": "DMS", + "ground_truth": { + "target_string": "25°3'7.0\"S, 33°38'39.0\"E", + "latitude": -25.05194, + "longitude": 33.64417 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -25.051940, 33.644170", + " Latitude: -25.05194°", + " Longitude: 33.64417°", + "Step 2: Convert latitude to DMS", + " Degrees = 25", + " Minutes = int((25.051940 - 25) × 60) = 3", + " Seconds = ((25.051940 - 25) × 60 - 3) × 60 = 7.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 33", + " Minutes = 38", + " Seconds = 39.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 25°3'7.0\"S, 33°38'39.0\"E", + "FINAL ANSWER: 25°3'7.0\"S, 33°38'39.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "San Marcos", + "source_format": "decimal_degrees", + "source_string": "8.659720, -75.128090", + "target_format": "DMS", + "ground_truth": { + "target_string": "8°39'35.0\"N, 75°7'41.1\"W", + "latitude": 8.65972, + "longitude": -75.12809 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 8.659720, -75.128090", + " Latitude: 8.65972°", + " Longitude: -75.12809°", + "Step 2: Convert latitude to DMS", + " Degrees = 8", + " Minutes = int((8.659720 - 8) × 60) = 39", + " Seconds = ((8.659720 - 8) × 60 - 39) × 60 = 35.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 75", + " Minutes = 7", + " Seconds = 41.1", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 8°39'35.0\"N, 75°7'41.1\"W", + "FINAL ANSWER: 8°39'35.0\"N, 75°7'41.1\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Tallkayf", + "source_format": "DMS", + "source_string": "36°29'28.2\"N, 43°7'16.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "36.491180, 43.121140", + "latitude": 36.49118, + "longitude": 43.12114 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 36°29'28.2\"N, 43°7'16.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 36.49118°", + "Step 4: Calculate longitude", + " Longitude: 43.12114°", + "FINAL ANSWER: 36.491180, 43.121140" + ] + }, + { + "task": "format_conversion", + "location_name": "Anak Bukit", + "source_format": "decimal_degrees", + "source_string": "6.184000, 100.377520", + "target_format": "DMS", + "ground_truth": { + "target_string": "6°11'2.4\"N, 100°22'39.1\"E", + "latitude": 6.184, + "longitude": 100.37752 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 6.184000, 100.377520", + " Latitude: 6.184°", + " Longitude: 100.37752°", + "Step 2: Convert latitude to DMS", + " Degrees = 6", + " Minutes = int((6.184000 - 6) × 60) = 11", + " Seconds = ((6.184000 - 6) × 60 - 11) × 60 = 2.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 100", + " Minutes = 22", + " Seconds = 39.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 6°11'2.4\"N, 100°22'39.1\"E", + "FINAL ANSWER: 6°11'2.4\"N, 100°22'39.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Nishinippori", + "source_format": "decimal_degrees", + "source_string": "35.732640, 139.769610", + "target_format": "DMS", + "ground_truth": { + "target_string": "35°43'57.5\"N, 139°46'10.6\"E", + "latitude": 35.73264, + "longitude": 139.76961 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 35.732640, 139.769610", + " Latitude: 35.73264°", + " Longitude: 139.76961°", + "Step 2: Convert latitude to DMS", + " Degrees = 35", + " Minutes = int((35.732640 - 35) × 60) = 43", + " Seconds = ((35.732640 - 35) × 60 - 43) × 60 = 57.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 139", + " Minutes = 46", + " Seconds = 10.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 35°43'57.5\"N, 139°46'10.6\"E", + "FINAL ANSWER: 35°43'57.5\"N, 139°46'10.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Gorgān", + "source_format": "decimal_degrees", + "source_string": "36.842700, 54.443910", + "target_format": "DMS", + "ground_truth": { + "target_string": "36°50'33.7\"N, 54°26'38.1\"E", + "latitude": 36.8427, + "longitude": 54.44391 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 36.842700, 54.443910", + " Latitude: 36.8427°", + " Longitude: 54.44391°", + "Step 2: Convert latitude to DMS", + " Degrees = 36", + " Minutes = int((36.842700 - 36) × 60) = 50", + " Seconds = ((36.842700 - 36) × 60 - 50) × 60 = 33.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 54", + " Minutes = 26", + " Seconds = 38.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 36°50'33.7\"N, 54°26'38.1\"E", + "FINAL ANSWER: 36°50'33.7\"N, 54°26'38.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Ondjiva", + "source_format": "DMS", + "source_string": "17°4'0.0\"S, 15°43'60.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-17.066670, 15.733330", + "latitude": -17.06667, + "longitude": 15.73333 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 17°4'0.0\"S, 15°43'60.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -17.06667°", + "Step 4: Calculate longitude", + " Longitude: 15.73333°", + "FINAL ANSWER: -17.066670, 15.733330" + ] + }, + { + "task": "format_conversion", + "location_name": "Itararé", + "source_format": "DMS", + "source_string": "24°6'45.0\"S, 49°19'54.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-24.112500, -49.331670", + "latitude": -24.1125, + "longitude": -49.33167 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 24°6'45.0\"S, 49°19'54.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -24.1125°", + "Step 4: Calculate longitude", + " Longitude: -49.33167°", + "FINAL ANSWER: -24.112500, -49.331670" + ] + }, + { + "task": "format_conversion", + "location_name": "Pāsighāt", + "source_format": "decimal_degrees", + "source_string": "28.066310, 95.326780", + "target_format": "DMS", + "ground_truth": { + "target_string": "28°3'58.7\"N, 95°19'36.4\"E", + "latitude": 28.06631, + "longitude": 95.32678 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 28.066310, 95.326780", + " Latitude: 28.06631°", + " Longitude: 95.32678°", + "Step 2: Convert latitude to DMS", + " Degrees = 28", + " Minutes = int((28.066310 - 28) × 60) = 3", + " Seconds = ((28.066310 - 28) × 60 - 3) × 60 = 58.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 95", + " Minutes = 19", + " Seconds = 36.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 28°3'58.7\"N, 95°19'36.4\"E", + "FINAL ANSWER: 28°3'58.7\"N, 95°19'36.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Cumaribo", + "source_format": "decimal_degrees", + "source_string": "4.445520, -69.798970", + "target_format": "DMS", + "ground_truth": { + "target_string": "4°26'43.9\"N, 69°47'56.3\"W", + "latitude": 4.44552, + "longitude": -69.79897 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 4.445520, -69.798970", + " Latitude: 4.44552°", + " Longitude: -69.79897°", + "Step 2: Convert latitude to DMS", + " Degrees = 4", + " Minutes = int((4.445520 - 4) × 60) = 26", + " Seconds = ((4.445520 - 4) × 60 - 26) × 60 = 43.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 69", + " Minutes = 47", + " Seconds = 56.3", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 4°26'43.9\"N, 69°47'56.3\"W", + "FINAL ANSWER: 4°26'43.9\"N, 69°47'56.3\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Katsuura", + "source_format": "DMS", + "source_string": "35°8'46.4\"N, 140°18'54.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "35.146210, 140.315070", + "latitude": 35.14621, + "longitude": 140.31507 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 35°8'46.4\"N, 140°18'54.3\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 35.14621°", + "Step 4: Calculate longitude", + " Longitude: 140.31507°", + "FINAL ANSWER: 35.146210, 140.315070" + ] + }, + { + "task": "format_conversion", + "location_name": "Khairāgarh", + "source_format": "DMS", + "source_string": "26°56'36.7\"N, 77°49'5.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "26.943520, 77.818160", + "latitude": 26.94352, + "longitude": 77.81816 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 26°56'36.7\"N, 77°49'5.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 26.94352°", + "Step 4: Calculate longitude", + " Longitude: 77.81816°", + "FINAL ANSWER: 26.943520, 77.818160" + ] + }, + { + "task": "format_conversion", + "location_name": "Bischheim", + "source_format": "DMS", + "source_string": "48°36'58.0\"N, 7°45'12.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "48.616120, 7.753430", + "latitude": 48.61612, + "longitude": 7.75343 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 48°36'58.0\"N, 7°45'12.3\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 48.61612°", + "Step 4: Calculate longitude", + " Longitude: 7.75343°", + "FINAL ANSWER: 48.616120, 7.753430" + ] + }, + { + "task": "format_conversion", + "location_name": "Aracruz", + "source_format": "decimal_degrees", + "source_string": "-19.820280, -40.273330", + "target_format": "DMS", + "ground_truth": { + "target_string": "19°49'13.0\"S, 40°16'24.0\"W", + "latitude": -19.82028, + "longitude": -40.27333 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -19.820280, -40.273330", + " Latitude: -19.82028°", + " Longitude: -40.27333°", + "Step 2: Convert latitude to DMS", + " Degrees = 19", + " Minutes = int((19.820280 - 19) × 60) = 49", + " Seconds = ((19.820280 - 19) × 60 - 49) × 60 = 13.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 40", + " Minutes = 16", + " Seconds = 24.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 19°49'13.0\"S, 40°16'24.0\"W", + "FINAL ANSWER: 19°49'13.0\"S, 40°16'24.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Akishima", + "source_format": "DMS", + "source_string": "35°43'15.1\"N, 139°22'48.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "35.720850, 139.379990", + "latitude": 35.72085, + "longitude": 139.37999 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 35°43'15.1\"N, 139°22'48.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 35.72085°", + "Step 4: Calculate longitude", + " Longitude: 139.37999°", + "FINAL ANSWER: 35.720850, 139.379990" + ] + }, + { + "task": "format_conversion", + "location_name": "Sao Lucas", + "source_format": "decimal_degrees", + "source_string": "-23.594680, -46.543590", + "target_format": "DMS", + "ground_truth": { + "target_string": "23°35'40.8\"S, 46°32'36.9\"W", + "latitude": -23.59468, + "longitude": -46.54359 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -23.594680, -46.543590", + " Latitude: -23.59468°", + " Longitude: -46.54359°", + "Step 2: Convert latitude to DMS", + " Degrees = 23", + " Minutes = int((23.594680 - 23) × 60) = 35", + " Seconds = ((23.594680 - 23) × 60 - 35) × 60 = 40.8", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 46", + " Minutes = 32", + " Seconds = 36.9", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 23°35'40.8\"S, 46°32'36.9\"W", + "FINAL ANSWER: 23°35'40.8\"S, 46°32'36.9\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Sultonobod", + "source_format": "decimal_degrees", + "source_string": "40.764610, 72.976470", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°45'52.6\"N, 72°58'35.3\"E", + "latitude": 40.76461, + "longitude": 72.97647 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.764610, 72.976470", + " Latitude: 40.76461°", + " Longitude: 72.97647°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.764610 - 40) × 60) = 45", + " Seconds = ((40.764610 - 40) × 60 - 45) × 60 = 52.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 72", + " Minutes = 58", + " Seconds = 35.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 40°45'52.6\"N, 72°58'35.3\"E", + "FINAL ANSWER: 40°45'52.6\"N, 72°58'35.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Badou", + "source_format": "decimal_degrees", + "source_string": "7.583330, 0.600000", + "target_format": "DMS", + "ground_truth": { + "target_string": "7°34'60.0\"N, 0°36'0.0\"E", + "latitude": 7.58333, + "longitude": 0.6 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 7.583330, 0.600000", + " Latitude: 7.58333°", + " Longitude: 0.6°", + "Step 2: Convert latitude to DMS", + " Degrees = 7", + " Minutes = int((7.583330 - 7) × 60) = 34", + " Seconds = ((7.583330 - 7) × 60 - 34) × 60 = 60.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 0", + " Minutes = 36", + " Seconds = 0.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 7°34'60.0\"N, 0°36'0.0\"E", + "FINAL ANSWER: 7°34'60.0\"N, 0°36'0.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Bīna", + "source_format": "decimal_degrees", + "source_string": "24.171610, 78.187550", + "target_format": "DMS", + "ground_truth": { + "target_string": "24°10'17.8\"N, 78°11'15.2\"E", + "latitude": 24.17161, + "longitude": 78.18755 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 24.171610, 78.187550", + " Latitude: 24.17161°", + " Longitude: 78.18755°", + "Step 2: Convert latitude to DMS", + " Degrees = 24", + " Minutes = int((24.171610 - 24) × 60) = 10", + " Seconds = ((24.171610 - 24) × 60 - 10) × 60 = 17.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 78", + " Minutes = 11", + " Seconds = 15.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 24°10'17.8\"N, 78°11'15.2\"E", + "FINAL ANSWER: 24°10'17.8\"N, 78°11'15.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Irapuato", + "source_format": "DMS", + "source_string": "20°40'36.3\"N, 101°21'22.6\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "20.676750, -101.356280", + "latitude": 20.67675, + "longitude": -101.35628 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 20°40'36.3\"N, 101°21'22.6\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 20.67675°", + "Step 4: Calculate longitude", + " Longitude: -101.35628°", + "FINAL ANSWER: 20.676750, -101.356280" + ] + }, + { + "task": "format_conversion", + "location_name": "Susanville", + "source_format": "decimal_degrees", + "source_string": "40.416280, -120.653010", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°24'58.6\"N, 120°39'10.8\"W", + "latitude": 40.41628, + "longitude": -120.65301 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.416280, -120.653010", + " Latitude: 40.41628°", + " Longitude: -120.65301°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.416280 - 40) × 60) = 24", + " Seconds = ((40.416280 - 40) × 60 - 24) × 60 = 58.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 120", + " Minutes = 39", + " Seconds = 10.8", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 40°24'58.6\"N, 120°39'10.8\"W", + "FINAL ANSWER: 40°24'58.6\"N, 120°39'10.8\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Scranton", + "source_format": "DMS", + "source_string": "41°24'33.0\"N, 75°39'53.6\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "41.409160, -75.664900", + "latitude": 41.40916, + "longitude": -75.6649 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 41°24'33.0\"N, 75°39'53.6\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 41.40916°", + "Step 4: Calculate longitude", + " Longitude: -75.6649°", + "FINAL ANSWER: 41.409160, -75.664900" + ] + }, + { + "task": "format_conversion", + "location_name": "Watthana", + "source_format": "DMS", + "source_string": "13°43'47.2\"N, 100°35'7.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "13.729780, 100.585360", + "latitude": 13.72978, + "longitude": 100.58536 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 13°43'47.2\"N, 100°35'7.3\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 13.72978°", + "Step 4: Calculate longitude", + " Longitude: 100.58536°", + "FINAL ANSWER: 13.729780, 100.585360" + ] + }, + { + "task": "format_conversion", + "location_name": "Coburg", + "source_format": "DMS", + "source_string": "37°45'0.0\"S, 144°58'0.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-37.750000, 144.966670", + "latitude": -37.75, + "longitude": 144.96667 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 37°45'0.0\"S, 144°58'0.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -37.75°", + "Step 4: Calculate longitude", + " Longitude: 144.96667°", + "FINAL ANSWER: -37.750000, 144.966670" + ] + }, + { + "task": "format_conversion", + "location_name": "Clemmons", + "source_format": "DMS", + "source_string": "36°1'17.5\"N, 80°22'55.2\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "36.021530, -80.382000", + "latitude": 36.02153, + "longitude": -80.382 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 36°1'17.5\"N, 80°22'55.2\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 36.02153°", + "Step 4: Calculate longitude", + " Longitude: -80.382°", + "FINAL ANSWER: 36.021530, -80.382000" + ] + }, + { + "task": "format_conversion", + "location_name": "Ibirité", + "source_format": "decimal_degrees", + "source_string": "-20.021940, -44.058890", + "target_format": "DMS", + "ground_truth": { + "target_string": "20°1'19.0\"S, 44°3'32.0\"W", + "latitude": -20.02194, + "longitude": -44.05889 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -20.021940, -44.058890", + " Latitude: -20.02194°", + " Longitude: -44.05889°", + "Step 2: Convert latitude to DMS", + " Degrees = 20", + " Minutes = int((20.021940 - 20) × 60) = 1", + " Seconds = ((20.021940 - 20) × 60 - 1) × 60 = 19.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 44", + " Minutes = 3", + " Seconds = 32.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 20°1'19.0\"S, 44°3'32.0\"W", + "FINAL ANSWER: 20°1'19.0\"S, 44°3'32.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Whitby", + "source_format": "decimal_degrees", + "source_string": "43.883420, -78.932870", + "target_format": "DMS", + "ground_truth": { + "target_string": "43°53'0.3\"N, 78°55'58.3\"W", + "latitude": 43.88342, + "longitude": -78.93287 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 43.883420, -78.932870", + " Latitude: 43.88342°", + " Longitude: -78.93287°", + "Step 2: Convert latitude to DMS", + " Degrees = 43", + " Minutes = int((43.883420 - 43) × 60) = 53", + " Seconds = ((43.883420 - 43) × 60 - 53) × 60 = 0.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 78", + " Minutes = 55", + " Seconds = 58.3", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 43°53'0.3\"N, 78°55'58.3\"W", + "FINAL ANSWER: 43°53'0.3\"N, 78°55'58.3\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Vigneux-sur-Seine", + "source_format": "DMS", + "source_string": "48°42'10.5\"N, 2°24'48.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "48.702910, 2.413570", + "latitude": 48.70291, + "longitude": 2.41357 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 48°42'10.5\"N, 2°24'48.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 48.70291°", + "Step 4: Calculate longitude", + " Longitude: 2.41357°", + "FINAL ANSWER: 48.702910, 2.413570" + ] + }, + { + "task": "format_conversion", + "location_name": "Copiague", + "source_format": "DMS", + "source_string": "40°40'53.4\"N, 73°23'59.4\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.681490, -73.399840", + "latitude": 40.68149, + "longitude": -73.39984 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°40'53.4\"N, 73°23'59.4\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 40.68149°", + "Step 4: Calculate longitude", + " Longitude: -73.39984°", + "FINAL ANSWER: 40.681490, -73.399840" + ] + }, + { + "task": "format_conversion", + "location_name": "Bonga", + "source_format": "decimal_degrees", + "source_string": "7.288890, 36.241670", + "target_format": "DMS", + "ground_truth": { + "target_string": "7°17'20.0\"N, 36°14'30.0\"E", + "latitude": 7.28889, + "longitude": 36.24167 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 7.288890, 36.241670", + " Latitude: 7.28889°", + " Longitude: 36.24167°", + "Step 2: Convert latitude to DMS", + " Degrees = 7", + " Minutes = int((7.288890 - 7) × 60) = 17", + " Seconds = ((7.288890 - 7) × 60 - 17) × 60 = 20.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 36", + " Minutes = 14", + " Seconds = 30.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 7°17'20.0\"N, 36°14'30.0\"E", + "FINAL ANSWER: 7°17'20.0\"N, 36°14'30.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Valby", + "source_format": "DMS", + "source_string": "55°39'58.1\"N, 12°30'50.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "55.666130, 12.513880", + "latitude": 55.66613, + "longitude": 12.51388 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 55°39'58.1\"N, 12°30'50.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 55.66613°", + "Step 4: Calculate longitude", + " Longitude: 12.51388°", + "FINAL ANSWER: 55.666130, 12.513880" + ] + }, + { + "task": "format_conversion", + "location_name": "Edremit", + "source_format": "DMS", + "source_string": "39°35'46.0\"N, 27°1'28.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "39.596110, 27.024440", + "latitude": 39.59611, + "longitude": 27.02444 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 39°35'46.0\"N, 27°1'28.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 39.59611°", + "Step 4: Calculate longitude", + " Longitude: 27.02444°", + "FINAL ANSWER: 39.596110, 27.024440" + ] + }, + { + "task": "format_conversion", + "location_name": "Chinhoyi", + "source_format": "DMS", + "source_string": "17°22'0.0\"S, 30°11'60.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-17.366670, 30.200000", + "latitude": -17.36667, + "longitude": 30.2 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 17°22'0.0\"S, 30°11'60.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -17.36667°", + "Step 4: Calculate longitude", + " Longitude: 30.2°", + "FINAL ANSWER: -17.366670, 30.200000" + ] + }, + { + "task": "format_conversion", + "location_name": "Celbridge", + "source_format": "DMS", + "source_string": "53°20'29.9\"N, 6°32'39.1\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "53.341650, -6.544190", + "latitude": 53.34165, + "longitude": -6.54419 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 53°20'29.9\"N, 6°32'39.1\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 53.34165°", + "Step 4: Calculate longitude", + " Longitude: -6.54419°", + "FINAL ANSWER: 53.341650, -6.544190" + ] + }, + { + "task": "format_conversion", + "location_name": "Zhawa", + "source_format": "decimal_degrees", + "source_string": "37.214210, 79.628970", + "target_format": "DMS", + "ground_truth": { + "target_string": "37°12'51.2\"N, 79°37'44.3\"E", + "latitude": 37.21421, + "longitude": 79.62897 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 37.214210, 79.628970", + " Latitude: 37.21421°", + " Longitude: 79.62897°", + "Step 2: Convert latitude to DMS", + " Degrees = 37", + " Minutes = int((37.214210 - 37) × 60) = 12", + " Seconds = ((37.214210 - 37) × 60 - 12) × 60 = 51.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 79", + " Minutes = 37", + " Seconds = 44.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 37°12'51.2\"N, 79°37'44.3\"E", + "FINAL ANSWER: 37°12'51.2\"N, 79°37'44.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Concepción", + "source_format": "decimal_degrees", + "source_string": "10.411900, -71.689190", + "target_format": "DMS", + "ground_truth": { + "target_string": "10°24'42.8\"N, 71°41'21.1\"W", + "latitude": 10.4119, + "longitude": -71.68919 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 10.411900, -71.689190", + " Latitude: 10.4119°", + " Longitude: -71.68919°", + "Step 2: Convert latitude to DMS", + " Degrees = 10", + " Minutes = int((10.411900 - 10) × 60) = 24", + " Seconds = ((10.411900 - 10) × 60 - 24) × 60 = 42.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 71", + " Minutes = 41", + " Seconds = 21.1", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 10°24'42.8\"N, 71°41'21.1\"W", + "FINAL ANSWER: 10°24'42.8\"N, 71°41'21.1\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Errenteria", + "source_format": "decimal_degrees", + "source_string": "43.311950, -1.902340", + "target_format": "DMS", + "ground_truth": { + "target_string": "43°18'43.0\"N, 1°54'8.4\"W", + "latitude": 43.31195, + "longitude": -1.90234 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 43.311950, -1.902340", + " Latitude: 43.31195°", + " Longitude: -1.90234°", + "Step 2: Convert latitude to DMS", + " Degrees = 43", + " Minutes = int((43.311950 - 43) × 60) = 18", + " Seconds = ((43.311950 - 43) × 60 - 18) × 60 = 43.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 1", + " Minutes = 54", + " Seconds = 8.4", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 43°18'43.0\"N, 1°54'8.4\"W", + "FINAL ANSWER: 43°18'43.0\"N, 1°54'8.4\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Foster City", + "source_format": "DMS", + "source_string": "37°33'30.8\"N, 122°16'15.9\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "37.558550, -122.271080", + "latitude": 37.55855, + "longitude": -122.27108 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 37°33'30.8\"N, 122°16'15.9\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 37.55855°", + "Step 4: Calculate longitude", + " Longitude: -122.27108°", + "FINAL ANSWER: 37.558550, -122.271080" + ] + }, + { + "task": "format_conversion", + "location_name": "Campo de Criptana", + "source_format": "DMS", + "source_string": "39°24'16.7\"N, 3°7'29.7\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "39.404630, -3.124920", + "latitude": 39.40463, + "longitude": -3.12492 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 39°24'16.7\"N, 3°7'29.7\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 39.40463°", + "Step 4: Calculate longitude", + " Longitude: -3.12492°", + "FINAL ANSWER: 39.404630, -3.124920" + ] + }, + { + "task": "format_conversion", + "location_name": "Tizayuca", + "source_format": "decimal_degrees", + "source_string": "19.837210, -98.976070", + "target_format": "DMS", + "ground_truth": { + "target_string": "19°50'14.0\"N, 98°58'33.9\"W", + "latitude": 19.83721, + "longitude": -98.97607 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 19.837210, -98.976070", + " Latitude: 19.83721°", + " Longitude: -98.97607°", + "Step 2: Convert latitude to DMS", + " Degrees = 19", + " Minutes = int((19.837210 - 19) × 60) = 50", + " Seconds = ((19.837210 - 19) × 60 - 50) × 60 = 14.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 98", + " Minutes = 58", + " Seconds = 33.9", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 19°50'14.0\"N, 98°58'33.9\"W", + "FINAL ANSWER: 19°50'14.0\"N, 98°58'33.9\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Clinton", + "source_format": "DMS", + "source_string": "41°8'22.8\"N, 112°3'1.8\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "41.139670, -112.050500", + "latitude": 41.13967, + "longitude": -112.0505 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 41°8'22.8\"N, 112°3'1.8\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 41.13967°", + "Step 4: Calculate longitude", + " Longitude: -112.0505°", + "FINAL ANSWER: 41.139670, -112.050500" + ] + }, + { + "task": "format_conversion", + "location_name": "Cambuci", + "source_format": "decimal_degrees", + "source_string": "-23.564390, -46.616950", + "target_format": "DMS", + "ground_truth": { + "target_string": "23°33'51.8\"S, 46°37'1.0\"W", + "latitude": -23.56439, + "longitude": -46.61695 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -23.564390, -46.616950", + " Latitude: -23.56439°", + " Longitude: -46.61695°", + "Step 2: Convert latitude to DMS", + " Degrees = 23", + " Minutes = int((23.564390 - 23) × 60) = 33", + " Seconds = ((23.564390 - 23) × 60 - 33) × 60 = 51.8", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 46", + " Minutes = 37", + " Seconds = 1.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 23°33'51.8\"S, 46°37'1.0\"W", + "FINAL ANSWER: 23°33'51.8\"S, 46°37'1.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Logansport", + "source_format": "DMS", + "source_string": "40°45'16.1\"N, 86°21'24.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.754480, -86.356670", + "latitude": 40.75448, + "longitude": -86.35667 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°45'16.1\"N, 86°21'24.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 40.75448°", + "Step 4: Calculate longitude", + " Longitude: -86.35667°", + "FINAL ANSWER: 40.754480, -86.356670" + ] + }, + { + "task": "format_conversion", + "location_name": "Tokai", + "source_format": "DMS", + "source_string": "6°1'43.2\"N, 100°24'24.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "6.028670, 100.406910", + "latitude": 6.02867, + "longitude": 100.40691 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 6°1'43.2\"N, 100°24'24.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 6.02867°", + "Step 4: Calculate longitude", + " Longitude: 100.40691°", + "FINAL ANSWER: 6.028670, 100.406910" + ] + }, + { + "task": "format_conversion", + "location_name": "Mechraa Bel Ksiri", + "source_format": "decimal_degrees", + "source_string": "34.573730, -5.955850", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°34'25.4\"N, 5°57'21.1\"W", + "latitude": 34.57373, + "longitude": -5.95585 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 34.573730, -5.955850", + " Latitude: 34.57373°", + " Longitude: -5.95585°", + "Step 2: Convert latitude to DMS", + " Degrees = 34", + " Minutes = int((34.573730 - 34) × 60) = 34", + " Seconds = ((34.573730 - 34) × 60 - 34) × 60 = 25.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 5", + " Minutes = 57", + " Seconds = 21.1", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 34°34'25.4\"N, 5°57'21.1\"W", + "FINAL ANSWER: 34°34'25.4\"N, 5°57'21.1\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Dagestanskiye Ogni", + "source_format": "decimal_degrees", + "source_string": "42.115850, 48.191920", + "target_format": "DMS", + "ground_truth": { + "target_string": "42°6'57.1\"N, 48°11'30.9\"E", + "latitude": 42.11585, + "longitude": 48.19192 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 42.115850, 48.191920", + " Latitude: 42.11585°", + " Longitude: 48.19192°", + "Step 2: Convert latitude to DMS", + " Degrees = 42", + " Minutes = int((42.115850 - 42) × 60) = 6", + " Seconds = ((42.115850 - 42) × 60 - 6) × 60 = 57.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 48", + " Minutes = 11", + " Seconds = 30.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 42°6'57.1\"N, 48°11'30.9\"E", + "FINAL ANSWER: 42°6'57.1\"N, 48°11'30.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Brasnorte", + "source_format": "decimal_degrees", + "source_string": "-12.120100, -58.002740", + "target_format": "DMS", + "ground_truth": { + "target_string": "12°7'12.4\"S, 58°0'9.9\"W", + "latitude": -12.1201, + "longitude": -58.00274 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -12.120100, -58.002740", + " Latitude: -12.1201°", + " Longitude: -58.00274°", + "Step 2: Convert latitude to DMS", + " Degrees = 12", + " Minutes = int((12.120100 - 12) × 60) = 7", + " Seconds = ((12.120100 - 12) × 60 - 7) × 60 = 12.4", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 58", + " Minutes = 0", + " Seconds = 9.9", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 12°7'12.4\"S, 58°0'9.9\"W", + "FINAL ANSWER: 12°7'12.4\"S, 58°0'9.9\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Livingston", + "source_format": "decimal_degrees", + "source_string": "55.902880, -3.522610", + "target_format": "DMS", + "ground_truth": { + "target_string": "55°54'10.4\"N, 3°31'21.4\"W", + "latitude": 55.90288, + "longitude": -3.52261 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 55.902880, -3.522610", + " Latitude: 55.90288°", + " Longitude: -3.52261°", + "Step 2: Convert latitude to DMS", + " Degrees = 55", + " Minutes = int((55.902880 - 55) × 60) = 54", + " Seconds = ((55.902880 - 55) × 60 - 54) × 60 = 10.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 3", + " Minutes = 31", + " Seconds = 21.4", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 55°54'10.4\"N, 3°31'21.4\"W", + "FINAL ANSWER: 55°54'10.4\"N, 3°31'21.4\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Eboli", + "source_format": "decimal_degrees", + "source_string": "40.617470, 15.056930", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°37'2.9\"N, 15°3'24.9\"E", + "latitude": 40.61747, + "longitude": 15.05693 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.617470, 15.056930", + " Latitude: 40.61747°", + " Longitude: 15.05693°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.617470 - 40) × 60) = 37", + " Seconds = ((40.617470 - 40) × 60 - 37) × 60 = 2.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 15", + " Minutes = 3", + " Seconds = 24.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 40°37'2.9\"N, 15°3'24.9\"E", + "FINAL ANSWER: 40°37'2.9\"N, 15°3'24.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Korkuteli", + "source_format": "decimal_degrees", + "source_string": "37.064980, 30.195650", + "target_format": "DMS", + "ground_truth": { + "target_string": "37°3'53.9\"N, 30°11'44.3\"E", + "latitude": 37.06498, + "longitude": 30.19565 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 37.064980, 30.195650", + " Latitude: 37.06498°", + " Longitude: 30.19565°", + "Step 2: Convert latitude to DMS", + " Degrees = 37", + " Minutes = int((37.064980 - 37) × 60) = 3", + " Seconds = ((37.064980 - 37) × 60 - 3) × 60 = 53.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 30", + " Minutes = 11", + " Seconds = 44.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 37°3'53.9\"N, 30°11'44.3\"E", + "FINAL ANSWER: 37°3'53.9\"N, 30°11'44.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Cocoa", + "source_format": "decimal_degrees", + "source_string": "28.386120, -80.742000", + "target_format": "DMS", + "ground_truth": { + "target_string": "28°23'10.0\"N, 80°44'31.2\"W", + "latitude": 28.38612, + "longitude": -80.742 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 28.386120, -80.742000", + " Latitude: 28.38612°", + " Longitude: -80.742°", + "Step 2: Convert latitude to DMS", + " Degrees = 28", + " Minutes = int((28.386120 - 28) × 60) = 23", + " Seconds = ((28.386120 - 28) × 60 - 23) × 60 = 10.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 80", + " Minutes = 44", + " Seconds = 31.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 28°23'10.0\"N, 80°44'31.2\"W", + "FINAL ANSWER: 28°23'10.0\"N, 80°44'31.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Kundian", + "source_format": "DMS", + "source_string": "32°27'27.9\"N, 71°28'44.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "32.457750, 71.478920", + "latitude": 32.45775, + "longitude": 71.47892 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 32°27'27.9\"N, 71°28'44.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 32.45775°", + "Step 4: Calculate longitude", + " Longitude: 71.47892°", + "FINAL ANSWER: 32.457750, 71.478920" + ] + }, + { + "task": "format_conversion", + "location_name": "Ibipeba", + "source_format": "decimal_degrees", + "source_string": "-11.640830, -42.011110", + "target_format": "DMS", + "ground_truth": { + "target_string": "11°38'27.0\"S, 42°0'40.0\"W", + "latitude": -11.64083, + "longitude": -42.01111 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -11.640830, -42.011110", + " Latitude: -11.64083°", + " Longitude: -42.01111°", + "Step 2: Convert latitude to DMS", + " Degrees = 11", + " Minutes = int((11.640830 - 11) × 60) = 38", + " Seconds = ((11.640830 - 11) × 60 - 38) × 60 = 27.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 42", + " Minutes = 0", + " Seconds = 40.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 11°38'27.0\"S, 42°0'40.0\"W", + "FINAL ANSWER: 11°38'27.0\"S, 42°0'40.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Buritis", + "source_format": "DMS", + "source_string": "15°37'4.0\"S, 46°25'24.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-15.617780, -46.423330", + "latitude": -15.61778, + "longitude": -46.42333 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 15°37'4.0\"S, 46°25'24.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -15.61778°", + "Step 4: Calculate longitude", + " Longitude: -46.42333°", + "FINAL ANSWER: -15.617780, -46.423330" + ] + }, + { + "task": "format_conversion", + "location_name": "Tomé-Açu", + "source_format": "DMS", + "source_string": "2°25'8.0\"S, 48°9'8.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-2.418890, -48.152220", + "latitude": -2.41889, + "longitude": -48.15222 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 2°25'8.0\"S, 48°9'8.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -2.41889°", + "Step 4: Calculate longitude", + " Longitude: -48.15222°", + "FINAL ANSWER: -2.418890, -48.152220" + ] + }, + { + "task": "format_conversion", + "location_name": "Jena", + "source_format": "decimal_degrees", + "source_string": "50.928780, 11.589900", + "target_format": "DMS", + "ground_truth": { + "target_string": "50°55'43.6\"N, 11°35'23.6\"E", + "latitude": 50.92878, + "longitude": 11.5899 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 50.928780, 11.589900", + " Latitude: 50.92878°", + " Longitude: 11.5899°", + "Step 2: Convert latitude to DMS", + " Degrees = 50", + " Minutes = int((50.928780 - 50) × 60) = 55", + " Seconds = ((50.928780 - 50) × 60 - 55) × 60 = 43.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 11", + " Minutes = 35", + " Seconds = 23.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 50°55'43.6\"N, 11°35'23.6\"E", + "FINAL ANSWER: 50°55'43.6\"N, 11°35'23.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Grangemouth", + "source_format": "DMS", + "source_string": "56°0'41.1\"N, 3°43'18.6\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "56.011410, -3.721830", + "latitude": 56.01141, + "longitude": -3.72183 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 56°0'41.1\"N, 3°43'18.6\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 56.01141°", + "Step 4: Calculate longitude", + " Longitude: -3.72183°", + "FINAL ANSWER: 56.011410, -3.721830" + ] + }, + { + "task": "format_conversion", + "location_name": "Rikaze", + "source_format": "decimal_degrees", + "source_string": "29.250000, 88.883330", + "target_format": "DMS", + "ground_truth": { + "target_string": "29°15'0.0\"N, 88°52'60.0\"E", + "latitude": 29.25, + "longitude": 88.88333 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 29.250000, 88.883330", + " Latitude: 29.25°", + " Longitude: 88.88333°", + "Step 2: Convert latitude to DMS", + " Degrees = 29", + " Minutes = int((29.250000 - 29) × 60) = 15", + " Seconds = ((29.250000 - 29) × 60 - 15) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 88", + " Minutes = 52", + " Seconds = 60.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 29°15'0.0\"N, 88°52'60.0\"E", + "FINAL ANSWER: 29°15'0.0\"N, 88°52'60.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Yakuplu", + "source_format": "DMS", + "source_string": "40°59'20.2\"N, 28°40'33.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.988940, 28.675820", + "latitude": 40.98894, + "longitude": 28.67582 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°59'20.2\"N, 28°40'33.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 40.98894°", + "Step 4: Calculate longitude", + " Longitude: 28.67582°", + "FINAL ANSWER: 40.988940, 28.675820" + ] + }, + { + "task": "format_conversion", + "location_name": "Paranoá", + "source_format": "decimal_degrees", + "source_string": "-15.775530, -47.781170", + "target_format": "DMS", + "ground_truth": { + "target_string": "15°46'31.9\"S, 47°46'52.2\"W", + "latitude": -15.77553, + "longitude": -47.78117 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -15.775530, -47.781170", + " Latitude: -15.77553°", + " Longitude: -47.78117°", + "Step 2: Convert latitude to DMS", + " Degrees = 15", + " Minutes = int((15.775530 - 15) × 60) = 46", + " Seconds = ((15.775530 - 15) × 60 - 46) × 60 = 31.9", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 47", + " Minutes = 46", + " Seconds = 52.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 15°46'31.9\"S, 47°46'52.2\"W", + "FINAL ANSWER: 15°46'31.9\"S, 47°46'52.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Chettināyakkanpatti", + "source_format": "DMS", + "source_string": "10°23'38.4\"N, 77°58'31.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "10.393990, 77.975400", + "latitude": 10.39399, + "longitude": 77.9754 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 10°23'38.4\"N, 77°58'31.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 10.39399°", + "Step 4: Calculate longitude", + " Longitude: 77.9754°", + "FINAL ANSWER: 10.393990, 77.975400" + ] + }, + { + "task": "format_conversion", + "location_name": "Dar el Haj Taïeb", + "source_format": "DMS", + "source_string": "34°47'4.0\"N, 10°44'38.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "34.784440, 10.743890", + "latitude": 34.78444, + "longitude": 10.74389 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 34°47'4.0\"N, 10°44'38.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 34.78444°", + "Step 4: Calculate longitude", + " Longitude: 10.74389°", + "FINAL ANSWER: 34.784440, 10.743890" + ] + }, + { + "task": "format_conversion", + "location_name": "Jiutai", + "source_format": "DMS", + "source_string": "44°9'9.0\"N, 125°49'58.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "44.152500, 125.832780", + "latitude": 44.1525, + "longitude": 125.83278 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 44°9'9.0\"N, 125°49'58.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 44.1525°", + "Step 4: Calculate longitude", + " Longitude: 125.83278°", + "FINAL ANSWER: 44.152500, 125.832780" + ] + }, + { + "task": "format_conversion", + "location_name": "Lorain", + "source_format": "decimal_degrees", + "source_string": "41.452820, -82.182370", + "target_format": "DMS", + "ground_truth": { + "target_string": "41°27'10.2\"N, 82°10'56.5\"W", + "latitude": 41.45282, + "longitude": -82.18237 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 41.452820, -82.182370", + " Latitude: 41.45282°", + " Longitude: -82.18237°", + "Step 2: Convert latitude to DMS", + " Degrees = 41", + " Minutes = int((41.452820 - 41) × 60) = 27", + " Seconds = ((41.452820 - 41) × 60 - 27) × 60 = 10.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 82", + " Minutes = 10", + " Seconds = 56.5", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 41°27'10.2\"N, 82°10'56.5\"W", + "FINAL ANSWER: 41°27'10.2\"N, 82°10'56.5\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Sirsi", + "source_format": "DD", + "source_string": "28.639160, 78.643030", + "target_format": "DMS", + "ground_truth": { + "target_string": "28°38'21.0\"N, 78°38'34.9\"E", + "latitude": 28.63916, + "longitude": 78.64303 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: 28.639160, 78.643030", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 28°38'21.0\"N, 78°38'34.9\"E", + "FINAL ANSWER: 28°38'21.0\"N, 78°38'34.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Tomilino", + "source_format": "DMS", + "source_string": "55°39'22.3\"N, 37°56'49.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "55.656190, 37.947130", + "latitude": 55.65619, + "longitude": 37.94713 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 55°39'22.3\"N, 37°56'49.7\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 55.65619°", + "Step 4: Calculate longitude", + " Longitude: 37.94713°", + "FINAL ANSWER: 55.656190, 37.947130" + ] + }, + { + "task": "format_conversion", + "location_name": "Ấp Bình Châu", + "source_format": "DMS", + "source_string": "10°33'0.0\"N, 107°32'60.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "10.550000, 107.550000", + "latitude": 10.55, + "longitude": 107.55 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 10°33'0.0\"N, 107°32'60.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 10.55°", + "Step 4: Calculate longitude", + " Longitude: 107.55°", + "FINAL ANSWER: 10.550000, 107.550000" + ] + }, + { + "task": "format_conversion", + "location_name": "Noe Valley", + "source_format": "DMS", + "source_string": "37°45'0.6\"N, 122°26'1.3\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "37.750180, -122.433690", + "latitude": 37.75018, + "longitude": -122.43369 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 37°45'0.6\"N, 122°26'1.3\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 37.75018°", + "Step 4: Calculate longitude", + " Longitude: -122.43369°", + "FINAL ANSWER: 37.750180, -122.433690" + ] + }, + { + "task": "format_conversion", + "location_name": "Waingapu", + "source_format": "decimal_degrees", + "source_string": "-9.656700, 120.264100", + "target_format": "DMS", + "ground_truth": { + "target_string": "9°39'24.1\"S, 120°15'50.8\"E", + "latitude": -9.6567, + "longitude": 120.2641 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -9.656700, 120.264100", + " Latitude: -9.6567°", + " Longitude: 120.2641°", + "Step 2: Convert latitude to DMS", + " Degrees = 9", + " Minutes = int((9.656700 - 9) × 60) = 39", + " Seconds = ((9.656700 - 9) × 60 - 39) × 60 = 24.1", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 120", + " Minutes = 15", + " Seconds = 50.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 9°39'24.1\"S, 120°15'50.8\"E", + "FINAL ANSWER: 9°39'24.1\"S, 120°15'50.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Werne", + "source_format": "DMS", + "source_string": "51°39'52.1\"N, 7°38'3.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "51.664460, 7.634210", + "latitude": 51.66446, + "longitude": 7.63421 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 51°39'52.1\"N, 7°38'3.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 51.66446°", + "Step 4: Calculate longitude", + " Longitude: 7.63421°", + "FINAL ANSWER: 51.664460, 7.634210" + ] + }, + { + "task": "format_conversion", + "location_name": "Izumisano", + "source_format": "DMS", + "source_string": "34°25'0.0\"N, 135°19'0.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "34.416670, 135.316670", + "latitude": 34.41667, + "longitude": 135.31667 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 34°25'0.0\"N, 135°19'0.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 34.41667°", + "Step 4: Calculate longitude", + " Longitude: 135.31667°", + "FINAL ANSWER: 34.416670, 135.316670" + ] + }, + { + "task": "format_conversion", + "location_name": "Bečej", + "source_format": "DMS", + "source_string": "45°36'58.8\"N, 20°1'59.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "45.616320, 20.033310", + "latitude": 45.61632, + "longitude": 20.03331 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 45°36'58.8\"N, 20°1'59.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 45.61632°", + "Step 4: Calculate longitude", + " Longitude: 20.03331°", + "FINAL ANSWER: 45.616320, 20.033310" + ] + }, + { + "task": "format_conversion", + "location_name": "Vestavia Hills", + "source_format": "decimal_degrees", + "source_string": "33.448720, -86.787770", + "target_format": "DMS", + "ground_truth": { + "target_string": "33°26'55.4\"N, 86°47'16.0\"W", + "latitude": 33.44872, + "longitude": -86.78777 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 33.448720, -86.787770", + " Latitude: 33.44872°", + " Longitude: -86.78777°", + "Step 2: Convert latitude to DMS", + " Degrees = 33", + " Minutes = int((33.448720 - 33) × 60) = 26", + " Seconds = ((33.448720 - 33) × 60 - 26) × 60 = 55.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 86", + " Minutes = 47", + " Seconds = 16.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 33°26'55.4\"N, 86°47'16.0\"W", + "FINAL ANSWER: 33°26'55.4\"N, 86°47'16.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Dongta", + "source_format": "decimal_degrees", + "source_string": "38.081400, 106.344440", + "target_format": "DMS", + "ground_truth": { + "target_string": "38°4'53.0\"N, 106°20'40.0\"E", + "latitude": 38.0814, + "longitude": 106.34444 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 38.081400, 106.344440", + " Latitude: 38.0814°", + " Longitude: 106.34444°", + "Step 2: Convert latitude to DMS", + " Degrees = 38", + " Minutes = int((38.081400 - 38) × 60) = 4", + " Seconds = ((38.081400 - 38) × 60 - 4) × 60 = 53.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 106", + " Minutes = 20", + " Seconds = 40.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 38°4'53.0\"N, 106°20'40.0\"E", + "FINAL ANSWER: 38°4'53.0\"N, 106°20'40.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Garoua", + "source_format": "DMS", + "source_string": "9°18'5.1\"N, 13°23'51.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "9.301430, 13.397710", + "latitude": 9.30143, + "longitude": 13.39771 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 9°18'5.1\"N, 13°23'51.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 9.30143°", + "Step 4: Calculate longitude", + " Longitude: 13.39771°", + "FINAL ANSWER: 9.301430, 13.397710" + ] + }, + { + "task": "format_conversion", + "location_name": "Sar-e Pul", + "source_format": "DMS", + "source_string": "36°12'55.6\"N, 65°55'57.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "36.215440, 65.932490", + "latitude": 36.21544, + "longitude": 65.93249 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 36°12'55.6\"N, 65°55'57.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 36.21544°", + "Step 4: Calculate longitude", + " Longitude: 65.93249°", + "FINAL ANSWER: 36.215440, 65.932490" + ] + }, + { + "task": "format_conversion", + "location_name": "Esmeralda", + "source_format": "decimal_degrees", + "source_string": "21.851390, -78.117250", + "target_format": "DMS", + "ground_truth": { + "target_string": "21°51'5.0\"N, 78°7'2.1\"W", + "latitude": 21.85139, + "longitude": -78.11725 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 21.851390, -78.117250", + " Latitude: 21.85139°", + " Longitude: -78.11725°", + "Step 2: Convert latitude to DMS", + " Degrees = 21", + " Minutes = int((21.851390 - 21) × 60) = 51", + " Seconds = ((21.851390 - 21) × 60 - 51) × 60 = 5.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 78", + " Minutes = 7", + " Seconds = 2.1", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 21°51'5.0\"N, 78°7'2.1\"W", + "FINAL ANSWER: 21°51'5.0\"N, 78°7'2.1\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Iona", + "source_format": "decimal_degrees", + "source_string": "26.520360, -81.963980", + "target_format": "DMS", + "ground_truth": { + "target_string": "26°31'13.3\"N, 81°57'50.3\"W", + "latitude": 26.52036, + "longitude": -81.96398 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 26.520360, -81.963980", + " Latitude: 26.52036°", + " Longitude: -81.96398°", + "Step 2: Convert latitude to DMS", + " Degrees = 26", + " Minutes = int((26.520360 - 26) × 60) = 31", + " Seconds = ((26.520360 - 26) × 60 - 31) × 60 = 13.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 81", + " Minutes = 57", + " Seconds = 50.3", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 26°31'13.3\"N, 81°57'50.3\"W", + "FINAL ANSWER: 26°31'13.3\"N, 81°57'50.3\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Villaviciosa de Odón", + "source_format": "DMS", + "source_string": "40°21'29.2\"N, 3°54'15.5\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.358100, -3.904300", + "latitude": 40.3581, + "longitude": -3.9043 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°21'29.2\"N, 3°54'15.5\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 40.3581°", + "Step 4: Calculate longitude", + " Longitude: -3.9043°", + "FINAL ANSWER: 40.358100, -3.904300" + ] + }, + { + "task": "format_conversion", + "location_name": "Imperia", + "source_format": "DMS", + "source_string": "43°53'21.0\"N, 8°2'21.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "43.889170, 8.039330", + "latitude": 43.88917, + "longitude": 8.03933 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 43°53'21.0\"N, 8°2'21.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 43.88917°", + "Step 4: Calculate longitude", + " Longitude: 8.03933°", + "FINAL ANSWER: 43.889170, 8.039330" + ] + }, + { + "task": "format_conversion", + "location_name": "Uman", + "source_format": "DMS", + "source_string": "48°45'0.4\"N, 30°13'10.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "48.750100, 30.219440", + "latitude": 48.7501, + "longitude": 30.21944 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 48°45'0.4\"N, 30°13'10.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 48.7501°", + "Step 4: Calculate longitude", + " Longitude: 30.21944°", + "FINAL ANSWER: 48.750100, 30.219440" + ] + }, + { + "task": "format_conversion", + "location_name": "Bathurst Manor", + "source_format": "DMS", + "source_string": "43°45'53.3\"N, 79°27'21.8\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "43.764810, -79.456060", + "latitude": 43.76481, + "longitude": -79.45606 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 43°45'53.3\"N, 79°27'21.8\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 43.76481°", + "Step 4: Calculate longitude", + " Longitude: -79.45606°", + "FINAL ANSWER: 43.764810, -79.456060" + ] + }, + { + "task": "format_conversion", + "location_name": "Jinhua", + "source_format": "decimal_degrees", + "source_string": "29.106780, 119.644210", + "target_format": "DMS", + "ground_truth": { + "target_string": "29°6'24.4\"N, 119°38'39.2\"E", + "latitude": 29.10678, + "longitude": 119.64421 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 29.106780, 119.644210", + " Latitude: 29.10678°", + " Longitude: 119.64421°", + "Step 2: Convert latitude to DMS", + " Degrees = 29", + " Minutes = int((29.106780 - 29) × 60) = 6", + " Seconds = ((29.106780 - 29) × 60 - 6) × 60 = 24.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 119", + " Minutes = 38", + " Seconds = 39.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 29°6'24.4\"N, 119°38'39.2\"E", + "FINAL ANSWER: 29°6'24.4\"N, 119°38'39.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Ortaköy", + "source_format": "decimal_degrees", + "source_string": "38.737280, 34.038660", + "target_format": "DMS", + "ground_truth": { + "target_string": "38°44'14.2\"N, 34°2'19.2\"E", + "latitude": 38.73728, + "longitude": 34.03866 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 38.737280, 34.038660", + " Latitude: 38.73728°", + " Longitude: 34.03866°", + "Step 2: Convert latitude to DMS", + " Degrees = 38", + " Minutes = int((38.737280 - 38) × 60) = 44", + " Seconds = ((38.737280 - 38) × 60 - 44) × 60 = 14.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 34", + " Minutes = 2", + " Seconds = 19.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 38°44'14.2\"N, 34°2'19.2\"E", + "FINAL ANSWER: 38°44'14.2\"N, 34°2'19.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Forécariah", + "source_format": "DMS", + "source_string": "9°25'50.0\"N, 13°5'17.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "9.430560, -13.088060", + "latitude": 9.43056, + "longitude": -13.08806 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 9°25'50.0\"N, 13°5'17.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 9.43056°", + "Step 4: Calculate longitude", + " Longitude: -13.08806°", + "FINAL ANSWER: 9.430560, -13.088060" + ] + }, + { + "task": "format_conversion", + "location_name": "Nizhniy Novgorod", + "source_format": "decimal_degrees", + "source_string": "56.328670, 44.002050", + "target_format": "DMS", + "ground_truth": { + "target_string": "56°19'43.2\"N, 44°0'7.4\"E", + "latitude": 56.32867, + "longitude": 44.00205 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 56.328670, 44.002050", + " Latitude: 56.32867°", + " Longitude: 44.00205°", + "Step 2: Convert latitude to DMS", + " Degrees = 56", + " Minutes = int((56.328670 - 56) × 60) = 19", + " Seconds = ((56.328670 - 56) × 60 - 19) × 60 = 43.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 44", + " Minutes = 0", + " Seconds = 7.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 56°19'43.2\"N, 44°0'7.4\"E", + "FINAL ANSWER: 56°19'43.2\"N, 44°0'7.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Poltava", + "source_format": "DMS", + "source_string": "49°35'21.3\"N, 34°33'13.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "49.589250, 34.553670", + "latitude": 49.58925, + "longitude": 34.55367 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 49°35'21.3\"N, 34°33'13.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 49.58925°", + "Step 4: Calculate longitude", + " Longitude: 34.55367°", + "FINAL ANSWER: 49.589250, 34.553670" + ] + }, + { + "task": "format_conversion", + "location_name": "Vilankulo", + "source_format": "decimal_degrees", + "source_string": "-22.000000, 35.316670", + "target_format": "DMS", + "ground_truth": { + "target_string": "22°0'0.0\"S, 35°19'0.0\"E", + "latitude": -22.0, + "longitude": 35.31667 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -22.000000, 35.316670", + " Latitude: -22.0°", + " Longitude: 35.31667°", + "Step 2: Convert latitude to DMS", + " Degrees = 22", + " Minutes = int((22.000000 - 22) × 60) = 0", + " Seconds = ((22.000000 - 22) × 60 - 0) × 60 = 0.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 35", + " Minutes = 19", + " Seconds = 0.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 22°0'0.0\"S, 35°19'0.0\"E", + "FINAL ANSWER: 22°0'0.0\"S, 35°19'0.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Alaplı", + "source_format": "DMS", + "source_string": "41°10'53.0\"N, 31°23'6.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "41.181400, 31.385140", + "latitude": 41.1814, + "longitude": 31.38514 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 41°10'53.0\"N, 31°23'6.5\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 41.1814°", + "Step 4: Calculate longitude", + " Longitude: 31.38514°", + "FINAL ANSWER: 41.181400, 31.385140" + ] + }, + { + "task": "format_conversion", + "location_name": "Twentynine Palms", + "source_format": "decimal_degrees", + "source_string": "34.135560, -116.054170", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°8'8.0\"N, 116°3'15.0\"W", + "latitude": 34.13556, + "longitude": -116.05417 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 34.135560, -116.054170", + " Latitude: 34.13556°", + " Longitude: -116.05417°", + "Step 2: Convert latitude to DMS", + " Degrees = 34", + " Minutes = int((34.135560 - 34) × 60) = 8", + " Seconds = ((34.135560 - 34) × 60 - 8) × 60 = 8.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 116", + " Minutes = 3", + " Seconds = 15.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 34°8'8.0\"N, 116°3'15.0\"W", + "FINAL ANSWER: 34°8'8.0\"N, 116°3'15.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Fürstenwalde", + "source_format": "decimal_degrees", + "source_string": "52.360670, 14.061850", + "target_format": "DMS", + "ground_truth": { + "target_string": "52°21'38.4\"N, 14°3'42.7\"E", + "latitude": 52.36067, + "longitude": 14.06185 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 52.360670, 14.061850", + " Latitude: 52.36067°", + " Longitude: 14.06185°", + "Step 2: Convert latitude to DMS", + " Degrees = 52", + " Minutes = int((52.360670 - 52) × 60) = 21", + " Seconds = ((52.360670 - 52) × 60 - 21) × 60 = 38.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 14", + " Minutes = 3", + " Seconds = 42.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 52°21'38.4\"N, 14°3'42.7\"E", + "FINAL ANSWER: 52°21'38.4\"N, 14°3'42.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Brownwood", + "source_format": "decimal_degrees", + "source_string": "31.709320, -98.991160", + "target_format": "DMS", + "ground_truth": { + "target_string": "31°42'33.6\"N, 98°59'28.2\"W", + "latitude": 31.70932, + "longitude": -98.99116 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 31.709320, -98.991160", + " Latitude: 31.70932°", + " Longitude: -98.99116°", + "Step 2: Convert latitude to DMS", + " Degrees = 31", + " Minutes = int((31.709320 - 31) × 60) = 42", + " Seconds = ((31.709320 - 31) × 60 - 42) × 60 = 33.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 98", + " Minutes = 59", + " Seconds = 28.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 31°42'33.6\"N, 98°59'28.2\"W", + "FINAL ANSWER: 31°42'33.6\"N, 98°59'28.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Rajākheri", + "source_format": "decimal_degrees", + "source_string": "23.859310, 78.785200", + "target_format": "DMS", + "ground_truth": { + "target_string": "23°51'33.5\"N, 78°47'6.7\"E", + "latitude": 23.85931, + "longitude": 78.7852 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 23.859310, 78.785200", + " Latitude: 23.85931°", + " Longitude: 78.7852°", + "Step 2: Convert latitude to DMS", + " Degrees = 23", + " Minutes = int((23.859310 - 23) × 60) = 51", + " Seconds = ((23.859310 - 23) × 60 - 51) × 60 = 33.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 78", + " Minutes = 47", + " Seconds = 6.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 23°51'33.5\"N, 78°47'6.7\"E", + "FINAL ANSWER: 23°51'33.5\"N, 78°47'6.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Şabyā", + "source_format": "decimal_degrees", + "source_string": "17.149500, 42.625370", + "target_format": "DMS", + "ground_truth": { + "target_string": "17°8'58.2\"N, 42°37'31.3\"E", + "latitude": 17.1495, + "longitude": 42.62537 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 17.149500, 42.625370", + " Latitude: 17.1495°", + " Longitude: 42.62537°", + "Step 2: Convert latitude to DMS", + " Degrees = 17", + " Minutes = int((17.149500 - 17) × 60) = 8", + " Seconds = ((17.149500 - 17) × 60 - 8) × 60 = 58.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 42", + " Minutes = 37", + " Seconds = 31.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 17°8'58.2\"N, 42°37'31.3\"E", + "FINAL ANSWER: 17°8'58.2\"N, 42°37'31.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Jam", + "source_format": "DMS", + "source_string": "27°49'47.2\"N, 52°19'30.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "27.829770, 52.325180", + "latitude": 27.82977, + "longitude": 52.32518 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 27°49'47.2\"N, 52°19'30.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 27.82977°", + "Step 4: Calculate longitude", + " Longitude: 52.32518°", + "FINAL ANSWER: 27.829770, 52.325180" + ] + }, + { + "task": "format_conversion", + "location_name": "Kanekomachi", + "source_format": "DMS", + "source_string": "36°24'39.5\"N, 138°59'46.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "36.410970, 138.996210", + "latitude": 36.41097, + "longitude": 138.99621 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 36°24'39.5\"N, 138°59'46.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 36.41097°", + "Step 4: Calculate longitude", + " Longitude: 138.99621°", + "FINAL ANSWER: 36.410970, 138.996210" + ] + }, + { + "task": "format_conversion", + "location_name": "Kemisē", + "source_format": "DMS", + "source_string": "10°43'0.0\"N, 39°52'11.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "10.716680, 39.869970", + "latitude": 10.71668, + "longitude": 39.86997 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 10°43'0.0\"N, 39°52'11.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 10.71668°", + "Step 4: Calculate longitude", + " Longitude: 39.86997°", + "FINAL ANSWER: 10.716680, 39.869970" + ] + }, + { + "task": "format_conversion", + "location_name": "Margahayukencana", + "source_format": "decimal_degrees", + "source_string": "-6.970830, 107.567500", + "target_format": "DMS", + "ground_truth": { + "target_string": "6°58'15.0\"S, 107°34'3.0\"E", + "latitude": -6.97083, + "longitude": 107.5675 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -6.970830, 107.567500", + " Latitude: -6.97083°", + " Longitude: 107.5675°", + "Step 2: Convert latitude to DMS", + " Degrees = 6", + " Minutes = int((6.970830 - 6) × 60) = 58", + " Seconds = ((6.970830 - 6) × 60 - 58) × 60 = 15.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 107", + " Minutes = 34", + " Seconds = 3.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 6°58'15.0\"S, 107°34'3.0\"E", + "FINAL ANSWER: 6°58'15.0\"S, 107°34'3.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Medellín", + "source_format": "DD", + "source_string": "6.245000, -75.571510", + "target_format": "DMS", + "ground_truth": { + "target_string": "6°14'42.0\"N, 75°34'17.4\"W", + "latitude": 6.245, + "longitude": -75.57151 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: 6.245000, -75.571510", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 6°14'42.0\"N, 75°34'17.4\"W", + "FINAL ANSWER: 6°14'42.0\"N, 75°34'17.4\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Gage Park", + "source_format": "decimal_degrees", + "source_string": "41.795030, -87.696160", + "target_format": "DMS", + "ground_truth": { + "target_string": "41°47'42.1\"N, 87°41'46.2\"W", + "latitude": 41.79503, + "longitude": -87.69616 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 41.795030, -87.696160", + " Latitude: 41.79503°", + " Longitude: -87.69616°", + "Step 2: Convert latitude to DMS", + " Degrees = 41", + " Minutes = int((41.795030 - 41) × 60) = 47", + " Seconds = ((41.795030 - 41) × 60 - 47) × 60 = 42.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 87", + " Minutes = 41", + " Seconds = 46.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 41°47'42.1\"N, 87°41'46.2\"W", + "FINAL ANSWER: 41°47'42.1\"N, 87°41'46.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Fangcun", + "source_format": "DMS", + "source_string": "34°5'11.0\"N, 117°28'25.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "34.086390, 117.473610", + "latitude": 34.08639, + "longitude": 117.47361 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 34°5'11.0\"N, 117°28'25.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 34.08639°", + "Step 4: Calculate longitude", + " Longitude: 117.47361°", + "FINAL ANSWER: 34.086390, 117.473610" + ] + }, + { + "task": "format_conversion", + "location_name": "Sunshine Coast", + "source_format": "DMS", + "source_string": "26°39'24.6\"S, 153°4'46.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-26.656820, 153.079550", + "latitude": -26.65682, + "longitude": 153.07955 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 26°39'24.6\"S, 153°4'46.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -26.65682°", + "Step 4: Calculate longitude", + " Longitude: 153.07955°", + "FINAL ANSWER: -26.656820, 153.079550" + ] + }, + { + "task": "format_conversion", + "location_name": "Ţahţā", + "source_format": "DMS", + "source_string": "26°46'7.2\"N, 31°30'7.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "26.768660, 31.501980", + "latitude": 26.76866, + "longitude": 31.50198 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 26°46'7.2\"N, 31°30'7.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 26.76866°", + "Step 4: Calculate longitude", + " Longitude: 31.50198°", + "FINAL ANSWER: 26.768660, 31.501980" + ] + }, + { + "task": "format_conversion", + "location_name": "Revivka", + "source_format": "decimal_degrees", + "source_string": "49.177710, 33.744150", + "target_format": "DMS", + "ground_truth": { + "target_string": "49°10'39.8\"N, 33°44'38.9\"E", + "latitude": 49.17771, + "longitude": 33.74415 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 49.177710, 33.744150", + " Latitude: 49.17771°", + " Longitude: 33.74415°", + "Step 2: Convert latitude to DMS", + " Degrees = 49", + " Minutes = int((49.177710 - 49) × 60) = 10", + " Seconds = ((49.177710 - 49) × 60 - 10) × 60 = 39.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 33", + " Minutes = 44", + " Seconds = 38.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 49°10'39.8\"N, 33°44'38.9\"E", + "FINAL ANSWER: 49°10'39.8\"N, 33°44'38.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Tambacounda", + "source_format": "DMS", + "source_string": "13°46'14.6\"N, 13°40'2.4\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "13.770730, -13.667340", + "latitude": 13.77073, + "longitude": -13.66734 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 13°46'14.6\"N, 13°40'2.4\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 13.77073°", + "Step 4: Calculate longitude", + " Longitude: -13.66734°", + "FINAL ANSWER: 13.770730, -13.667340" + ] + }, + { + "task": "format_conversion", + "location_name": "Nandu", + "source_format": "decimal_degrees", + "source_string": "22.852500, 110.823330", + "target_format": "DMS", + "ground_truth": { + "target_string": "22°51'9.0\"N, 110°49'24.0\"E", + "latitude": 22.8525, + "longitude": 110.82333 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 22.852500, 110.823330", + " Latitude: 22.8525°", + " Longitude: 110.82333°", + "Step 2: Convert latitude to DMS", + " Degrees = 22", + " Minutes = int((22.852500 - 22) × 60) = 51", + " Seconds = ((22.852500 - 22) × 60 - 51) × 60 = 9.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 110", + " Minutes = 49", + " Seconds = 24.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 22°51'9.0\"N, 110°49'24.0\"E", + "FINAL ANSWER: 22°51'9.0\"N, 110°49'24.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Ouro Sogui", + "source_format": "decimal_degrees", + "source_string": "15.605880, -13.322300", + "target_format": "DMS", + "ground_truth": { + "target_string": "15°36'21.2\"N, 13°19'20.3\"W", + "latitude": 15.60588, + "longitude": -13.3223 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 15.605880, -13.322300", + " Latitude: 15.60588°", + " Longitude: -13.3223°", + "Step 2: Convert latitude to DMS", + " Degrees = 15", + " Minutes = int((15.605880 - 15) × 60) = 36", + " Seconds = ((15.605880 - 15) × 60 - 36) × 60 = 21.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 13", + " Minutes = 19", + " Seconds = 20.3", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 15°36'21.2\"N, 13°19'20.3\"W", + "FINAL ANSWER: 15°36'21.2\"N, 13°19'20.3\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Pūvātūparamba", + "source_format": "decimal_degrees", + "source_string": "11.271000, 75.889450", + "target_format": "DMS", + "ground_truth": { + "target_string": "11°16'15.6\"N, 75°53'22.0\"E", + "latitude": 11.271, + "longitude": 75.88945 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 11.271000, 75.889450", + " Latitude: 11.271°", + " Longitude: 75.88945°", + "Step 2: Convert latitude to DMS", + " Degrees = 11", + " Minutes = int((11.271000 - 11) × 60) = 16", + " Seconds = ((11.271000 - 11) × 60 - 16) × 60 = 15.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 75", + " Minutes = 53", + " Seconds = 22.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 11°16'15.6\"N, 75°53'22.0\"E", + "FINAL ANSWER: 11°16'15.6\"N, 75°53'22.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kohima", + "source_format": "DMS", + "source_string": "25°40'28.8\"N, 94°6'39.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "25.674670, 94.110990", + "latitude": 25.67467, + "longitude": 94.11099 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 25°40'28.8\"N, 94°6'39.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 25.67467°", + "Step 4: Calculate longitude", + " Longitude: 94.11099°", + "FINAL ANSWER: 25.674670, 94.110990" + ] + }, + { + "task": "format_conversion", + "location_name": "Tsuruga", + "source_format": "DMS", + "source_string": "35°39'10.8\"N, 136°3'47.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "35.653000, 136.063310", + "latitude": 35.653, + "longitude": 136.06331 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 35°39'10.8\"N, 136°3'47.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 35.653°", + "Step 4: Calculate longitude", + " Longitude: 136.06331°", + "FINAL ANSWER: 35.653000, 136.063310" + ] + }, + { + "task": "format_conversion", + "location_name": "Nokha", + "source_format": "DMS", + "source_string": "27°33'41.6\"N, 73°28'17.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "27.561550, 73.471410", + "latitude": 27.56155, + "longitude": 73.47141 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 27°33'41.6\"N, 73°28'17.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 27.56155°", + "Step 4: Calculate longitude", + " Longitude: 73.47141°", + "FINAL ANSWER: 27.561550, 73.471410" + ] + }, + { + "task": "format_conversion", + "location_name": "Vāniyamkulam", + "source_format": "decimal_degrees", + "source_string": "10.783030, 76.333580", + "target_format": "DMS", + "ground_truth": { + "target_string": "10°46'58.9\"N, 76°20'0.9\"E", + "latitude": 10.78303, + "longitude": 76.33358 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 10.783030, 76.333580", + " Latitude: 10.78303°", + " Longitude: 76.33358°", + "Step 2: Convert latitude to DMS", + " Degrees = 10", + " Minutes = int((10.783030 - 10) × 60) = 46", + " Seconds = ((10.783030 - 10) × 60 - 46) × 60 = 58.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 76", + " Minutes = 20", + " Seconds = 0.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 10°46'58.9\"N, 76°20'0.9\"E", + "FINAL ANSWER: 10°46'58.9\"N, 76°20'0.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Guazacapán", + "source_format": "DMS", + "source_string": "14°4'27.0\"N, 90°25'0.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "14.074170, -90.416670", + "latitude": 14.07417, + "longitude": -90.41667 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 14°4'27.0\"N, 90°25'0.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 14.07417°", + "Step 4: Calculate longitude", + " Longitude: -90.41667°", + "FINAL ANSWER: 14.074170, -90.416670" + ] + }, + { + "task": "format_conversion", + "location_name": "Magsaysay", + "source_format": "decimal_degrees", + "source_string": "6.766670, 125.183330", + "target_format": "DMS", + "ground_truth": { + "target_string": "6°46'0.0\"N, 125°10'60.0\"E", + "latitude": 6.76667, + "longitude": 125.18333 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 6.766670, 125.183330", + " Latitude: 6.76667°", + " Longitude: 125.18333°", + "Step 2: Convert latitude to DMS", + " Degrees = 6", + " Minutes = int((6.766670 - 6) × 60) = 46", + " Seconds = ((6.766670 - 6) × 60 - 46) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 125", + " Minutes = 10", + " Seconds = 60.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 6°46'0.0\"N, 125°10'60.0\"E", + "FINAL ANSWER: 6°46'0.0\"N, 125°10'60.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Neftekumsk", + "source_format": "DMS", + "source_string": "44°45'21.0\"N, 44°59'33.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "44.755830, 44.992500", + "latitude": 44.75583, + "longitude": 44.9925 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 44°45'21.0\"N, 44°59'33.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 44.75583°", + "Step 4: Calculate longitude", + " Longitude: 44.9925°", + "FINAL ANSWER: 44.755830, 44.992500" + ] + }, + { + "task": "format_conversion", + "location_name": "Noida", + "source_format": "DMS", + "source_string": "28°34'48.0\"N, 77°19'48.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "28.580000, 77.330000", + "latitude": 28.58, + "longitude": 77.33 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 28°34'48.0\"N, 77°19'48.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 28.58°", + "Step 4: Calculate longitude", + " Longitude: 77.33°", + "FINAL ANSWER: 28.580000, 77.330000" + ] + }, + { + "task": "format_conversion", + "location_name": "Champaign", + "source_format": "decimal_degrees", + "source_string": "40.116420, -88.243380", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°6'59.1\"N, 88°14'36.2\"W", + "latitude": 40.11642, + "longitude": -88.24338 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.116420, -88.243380", + " Latitude: 40.11642°", + " Longitude: -88.24338°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.116420 - 40) × 60) = 6", + " Seconds = ((40.116420 - 40) × 60 - 6) × 60 = 59.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 88", + " Minutes = 14", + " Seconds = 36.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 40°6'59.1\"N, 88°14'36.2\"W", + "FINAL ANSWER: 40°6'59.1\"N, 88°14'36.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Valenciennes", + "source_format": "decimal_degrees", + "source_string": "50.359090, 3.525060", + "target_format": "DMS", + "ground_truth": { + "target_string": "50°21'32.7\"N, 3°31'30.2\"E", + "latitude": 50.35909, + "longitude": 3.52506 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 50.359090, 3.525060", + " Latitude: 50.35909°", + " Longitude: 3.52506°", + "Step 2: Convert latitude to DMS", + " Degrees = 50", + " Minutes = int((50.359090 - 50) × 60) = 21", + " Seconds = ((50.359090 - 50) × 60 - 21) × 60 = 32.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 3", + " Minutes = 31", + " Seconds = 30.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 50°21'32.7\"N, 3°31'30.2\"E", + "FINAL ANSWER: 50°21'32.7\"N, 3°31'30.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Itapevi", + "source_format": "decimal_degrees", + "source_string": "-23.548890, -46.934170", + "target_format": "DMS", + "ground_truth": { + "target_string": "23°32'56.0\"S, 46°56'3.0\"W", + "latitude": -23.54889, + "longitude": -46.93417 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -23.548890, -46.934170", + " Latitude: -23.54889°", + " Longitude: -46.93417°", + "Step 2: Convert latitude to DMS", + " Degrees = 23", + " Minutes = int((23.548890 - 23) × 60) = 32", + " Seconds = ((23.548890 - 23) × 60 - 32) × 60 = 56.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 46", + " Minutes = 56", + " Seconds = 3.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 23°32'56.0\"S, 46°56'3.0\"W", + "FINAL ANSWER: 23°32'56.0\"S, 46°56'3.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Stepnogorsk", + "source_format": "DMS", + "source_string": "52°21'2.2\"N, 71°52'53.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "52.350620, 71.881610", + "latitude": 52.35062, + "longitude": 71.88161 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 52°21'2.2\"N, 71°52'53.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 52.35062°", + "Step 4: Calculate longitude", + " Longitude: 71.88161°", + "FINAL ANSWER: 52.350620, 71.881610" + ] + }, + { + "task": "format_conversion", + "location_name": "Umm Suqaym", + "source_format": "decimal_degrees", + "source_string": "25.154910, 55.210150", + "target_format": "DMS", + "ground_truth": { + "target_string": "25°9'17.7\"N, 55°12'36.5\"E", + "latitude": 25.15491, + "longitude": 55.21015 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 25.154910, 55.210150", + " Latitude: 25.15491°", + " Longitude: 55.21015°", + "Step 2: Convert latitude to DMS", + " Degrees = 25", + " Minutes = int((25.154910 - 25) × 60) = 9", + " Seconds = ((25.154910 - 25) × 60 - 9) × 60 = 17.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 55", + " Minutes = 12", + " Seconds = 36.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 25°9'17.7\"N, 55°12'36.5\"E", + "FINAL ANSWER: 25°9'17.7\"N, 55°12'36.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kingswinford", + "source_format": "DMS", + "source_string": "52°29'51.2\"N, 2°10'8.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "52.497550, -2.168890", + "latitude": 52.49755, + "longitude": -2.16889 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 52°29'51.2\"N, 2°10'8.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 52.49755°", + "Step 4: Calculate longitude", + " Longitude: -2.16889°", + "FINAL ANSWER: 52.497550, -2.168890" + ] + }, + { + "task": "format_conversion", + "location_name": "Poway", + "source_format": "DMS", + "source_string": "32°57'46.2\"N, 117°2'9.1\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "32.962820, -117.035860", + "latitude": 32.96282, + "longitude": -117.03586 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 32°57'46.2\"N, 117°2'9.1\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 32.96282°", + "Step 4: Calculate longitude", + " Longitude: -117.03586°", + "FINAL ANSWER: 32.962820, -117.035860" + ] + }, + { + "task": "format_conversion", + "location_name": "Maracaibo", + "source_format": "decimal_degrees", + "source_string": "10.642320, -71.610890", + "target_format": "DMS", + "ground_truth": { + "target_string": "10°38'32.4\"N, 71°36'39.2\"W", + "latitude": 10.64232, + "longitude": -71.61089 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 10.642320, -71.610890", + " Latitude: 10.64232°", + " Longitude: -71.61089°", + "Step 2: Convert latitude to DMS", + " Degrees = 10", + " Minutes = int((10.642320 - 10) × 60) = 38", + " Seconds = ((10.642320 - 10) × 60 - 38) × 60 = 32.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 71", + " Minutes = 36", + " Seconds = 39.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 10°38'32.4\"N, 71°36'39.2\"W", + "FINAL ANSWER: 10°38'32.4\"N, 71°36'39.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Kehl", + "source_format": "DMS", + "source_string": "48°34'22.7\"N, 7°48'54.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "48.572970, 7.815230", + "latitude": 48.57297, + "longitude": 7.81523 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 48°34'22.7\"N, 7°48'54.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 48.57297°", + "Step 4: Calculate longitude", + " Longitude: 7.81523°", + "FINAL ANSWER: 48.572970, 7.815230" + ] + }, + { + "task": "format_conversion", + "location_name": "Bushehr", + "source_format": "decimal_degrees", + "source_string": "28.968870, 50.836570", + "target_format": "DMS", + "ground_truth": { + "target_string": "28°58'7.9\"N, 50°50'11.7\"E", + "latitude": 28.96887, + "longitude": 50.83657 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 28.968870, 50.836570", + " Latitude: 28.96887°", + " Longitude: 50.83657°", + "Step 2: Convert latitude to DMS", + " Degrees = 28", + " Minutes = int((28.968870 - 28) × 60) = 58", + " Seconds = ((28.968870 - 28) × 60 - 58) × 60 = 7.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 50", + " Minutes = 50", + " Seconds = 11.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 28°58'7.9\"N, 50°50'11.7\"E", + "FINAL ANSWER: 28°58'7.9\"N, 50°50'11.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Birmingham", + "source_format": "decimal_degrees", + "source_string": "42.546700, -83.211320", + "target_format": "DMS", + "ground_truth": { + "target_string": "42°32'48.1\"N, 83°12'40.8\"W", + "latitude": 42.5467, + "longitude": -83.21132 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 42.546700, -83.211320", + " Latitude: 42.5467°", + " Longitude: -83.21132°", + "Step 2: Convert latitude to DMS", + " Degrees = 42", + " Minutes = int((42.546700 - 42) × 60) = 32", + " Seconds = ((42.546700 - 42) × 60 - 32) × 60 = 48.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 83", + " Minutes = 12", + " Seconds = 40.8", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 42°32'48.1\"N, 83°12'40.8\"W", + "FINAL ANSWER: 42°32'48.1\"N, 83°12'40.8\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Villukuri", + "source_format": "decimal_degrees", + "source_string": "8.222600, 77.373230", + "target_format": "DMS", + "ground_truth": { + "target_string": "8°13'21.4\"N, 77°22'23.6\"E", + "latitude": 8.2226, + "longitude": 77.37323 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 8.222600, 77.373230", + " Latitude: 8.2226°", + " Longitude: 77.37323°", + "Step 2: Convert latitude to DMS", + " Degrees = 8", + " Minutes = int((8.222600 - 8) × 60) = 13", + " Seconds = ((8.222600 - 8) × 60 - 13) × 60 = 21.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 77", + " Minutes = 22", + " Seconds = 23.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 8°13'21.4\"N, 77°22'23.6\"E", + "FINAL ANSWER: 8°13'21.4\"N, 77°22'23.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Trofa", + "source_format": "DMS", + "source_string": "41°20'14.2\"N, 8°33'34.6\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "41.337290, -8.559600", + "latitude": 41.33729, + "longitude": -8.5596 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 41°20'14.2\"N, 8°33'34.6\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 41.33729°", + "Step 4: Calculate longitude", + " Longitude: -8.5596°", + "FINAL ANSWER: 41.337290, -8.559600" + ] + }, + { + "task": "format_conversion", + "location_name": "‘Alem T’ēna", + "source_format": "decimal_degrees", + "source_string": "8.300000, 38.950000", + "target_format": "DMS", + "ground_truth": { + "target_string": "8°18'0.0\"N, 38°57'0.0\"E", + "latitude": 8.3, + "longitude": 38.95 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 8.300000, 38.950000", + " Latitude: 8.3°", + " Longitude: 38.95°", + "Step 2: Convert latitude to DMS", + " Degrees = 8", + " Minutes = int((8.300000 - 8) × 60) = 18", + " Seconds = ((8.300000 - 8) × 60 - 18) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 38", + " Minutes = 57", + " Seconds = 0.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 8°18'0.0\"N, 38°57'0.0\"E", + "FINAL ANSWER: 8°18'0.0\"N, 38°57'0.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Baidi", + "source_format": "decimal_degrees", + "source_string": "31.057610, 109.590880", + "target_format": "DMS", + "ground_truth": { + "target_string": "31°3'27.4\"N, 109°35'27.2\"E", + "latitude": 31.05761, + "longitude": 109.59088 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 31.057610, 109.590880", + " Latitude: 31.05761°", + " Longitude: 109.59088°", + "Step 2: Convert latitude to DMS", + " Degrees = 31", + " Minutes = int((31.057610 - 31) × 60) = 3", + " Seconds = ((31.057610 - 31) × 60 - 3) × 60 = 27.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 109", + " Minutes = 35", + " Seconds = 27.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 31°3'27.4\"N, 109°35'27.2\"E", + "FINAL ANSWER: 31°3'27.4\"N, 109°35'27.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Tamansourt", + "source_format": "decimal_degrees", + "source_string": "31.755000, -8.110000", + "target_format": "DMS", + "ground_truth": { + "target_string": "31°45'18.0\"N, 8°6'36.0\"W", + "latitude": 31.755, + "longitude": -8.11 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 31.755000, -8.110000", + " Latitude: 31.755°", + " Longitude: -8.11°", + "Step 2: Convert latitude to DMS", + " Degrees = 31", + " Minutes = int((31.755000 - 31) × 60) = 45", + " Seconds = ((31.755000 - 31) × 60 - 45) × 60 = 18.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 8", + " Minutes = 6", + " Seconds = 36.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 31°45'18.0\"N, 8°6'36.0\"W", + "FINAL ANSWER: 31°45'18.0\"N, 8°6'36.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Zaprešić", + "source_format": "DMS", + "source_string": "45°51'23.0\"N, 15°48'28.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "45.856390, 15.807780", + "latitude": 45.85639, + "longitude": 15.80778 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 45°51'23.0\"N, 15°48'28.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 45.85639°", + "Step 4: Calculate longitude", + " Longitude: 15.80778°", + "FINAL ANSWER: 45.856390, 15.807780" + ] + }, + { + "task": "format_conversion", + "location_name": "Balneário Rincão", + "source_format": "DMS", + "source_string": "28°49'55.5\"S, 49°14'11.8\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-28.832080, -49.236600", + "latitude": -28.83208, + "longitude": -49.2366 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 28°49'55.5\"S, 49°14'11.8\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -28.83208°", + "Step 4: Calculate longitude", + " Longitude: -49.2366°", + "FINAL ANSWER: -28.832080, -49.236600" + ] + }, + { + "task": "format_conversion", + "location_name": "Shu", + "source_format": "decimal_degrees", + "source_string": "43.605070, 73.762210", + "target_format": "DMS", + "ground_truth": { + "target_string": "43°36'18.3\"N, 73°45'44.0\"E", + "latitude": 43.60507, + "longitude": 73.76221 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 43.605070, 73.762210", + " Latitude: 43.60507°", + " Longitude: 73.76221°", + "Step 2: Convert latitude to DMS", + " Degrees = 43", + " Minutes = int((43.605070 - 43) × 60) = 36", + " Seconds = ((43.605070 - 43) × 60 - 36) × 60 = 18.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 73", + " Minutes = 45", + " Seconds = 44.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 43°36'18.3\"N, 73°45'44.0\"E", + "FINAL ANSWER: 43°36'18.3\"N, 73°45'44.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Offenburg", + "source_format": "DMS", + "source_string": "48°28'25.6\"N, 7°56'41.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "48.473770, 7.944950", + "latitude": 48.47377, + "longitude": 7.94495 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 48°28'25.6\"N, 7°56'41.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 48.47377°", + "Step 4: Calculate longitude", + " Longitude: 7.94495°", + "FINAL ANSWER: 48.473770, 7.944950" + ] + }, + { + "task": "format_conversion", + "location_name": "Palāsa", + "source_format": "decimal_degrees", + "source_string": "18.772570, 84.410120", + "target_format": "DMS", + "ground_truth": { + "target_string": "18°46'21.3\"N, 84°24'36.4\"E", + "latitude": 18.77257, + "longitude": 84.41012 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 18.772570, 84.410120", + " Latitude: 18.77257°", + " Longitude: 84.41012°", + "Step 2: Convert latitude to DMS", + " Degrees = 18", + " Minutes = int((18.772570 - 18) × 60) = 46", + " Seconds = ((18.772570 - 18) × 60 - 46) × 60 = 21.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 84", + " Minutes = 24", + " Seconds = 36.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 18°46'21.3\"N, 84°24'36.4\"E", + "FINAL ANSWER: 18°46'21.3\"N, 84°24'36.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Bela", + "source_format": "decimal_degrees", + "source_string": "26.227180, 66.311780", + "target_format": "DMS", + "ground_truth": { + "target_string": "26°13'37.8\"N, 66°18'42.4\"E", + "latitude": 26.22718, + "longitude": 66.31178 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 26.227180, 66.311780", + " Latitude: 26.22718°", + " Longitude: 66.31178°", + "Step 2: Convert latitude to DMS", + " Degrees = 26", + " Minutes = int((26.227180 - 26) × 60) = 13", + " Seconds = ((26.227180 - 26) × 60 - 13) × 60 = 37.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 66", + " Minutes = 18", + " Seconds = 42.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 26°13'37.8\"N, 66°18'42.4\"E", + "FINAL ANSWER: 26°13'37.8\"N, 66°18'42.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Guocun", + "source_format": "DMS", + "source_string": "30°33'58.2\"N, 108°10'9.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "30.566180, 108.169330", + "latitude": 30.56618, + "longitude": 108.16933 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 30°33'58.2\"N, 108°10'9.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 30.56618°", + "Step 4: Calculate longitude", + " Longitude: 108.16933°", + "FINAL ANSWER: 30.566180, 108.169330" + ] + }, + { + "task": "format_conversion", + "location_name": "Wŏnsan", + "source_format": "decimal_degrees", + "source_string": "39.152780, 127.443610", + "target_format": "DMS", + "ground_truth": { + "target_string": "39°9'10.0\"N, 127°26'37.0\"E", + "latitude": 39.15278, + "longitude": 127.44361 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 39.152780, 127.443610", + " Latitude: 39.15278°", + " Longitude: 127.44361°", + "Step 2: Convert latitude to DMS", + " Degrees = 39", + " Minutes = int((39.152780 - 39) × 60) = 9", + " Seconds = ((39.152780 - 39) × 60 - 9) × 60 = 10.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 127", + " Minutes = 26", + " Seconds = 37.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 39°9'10.0\"N, 127°26'37.0\"E", + "FINAL ANSWER: 39°9'10.0\"N, 127°26'37.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Mwansabombwe", + "source_format": "DMS", + "source_string": "9°49'19.3\"S, 28°45'37.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-9.822020, 28.760380", + "latitude": -9.82202, + "longitude": 28.76038 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 9°49'19.3\"S, 28°45'37.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -9.82202°", + "Step 4: Calculate longitude", + " Longitude: 28.76038°", + "FINAL ANSWER: -9.822020, 28.760380" + ] + }, + { + "task": "format_conversion", + "location_name": "eSikhaleni", + "source_format": "DMS", + "source_string": "28°52'15.5\"S, 31°53'58.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-28.870970, 31.899610", + "latitude": -28.87097, + "longitude": 31.89961 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 28°52'15.5\"S, 31°53'58.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -28.87097°", + "Step 4: Calculate longitude", + " Longitude: 31.89961°", + "FINAL ANSWER: -28.870970, 31.899610" + ] + }, + { + "task": "format_conversion", + "location_name": "Colombo", + "source_format": "decimal_degrees", + "source_string": "-25.291670, -49.224170", + "target_format": "DMS", + "ground_truth": { + "target_string": "25°17'30.0\"S, 49°13'27.0\"W", + "latitude": -25.29167, + "longitude": -49.22417 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -25.291670, -49.224170", + " Latitude: -25.29167°", + " Longitude: -49.22417°", + "Step 2: Convert latitude to DMS", + " Degrees = 25", + " Minutes = int((25.291670 - 25) × 60) = 17", + " Seconds = ((25.291670 - 25) × 60 - 17) × 60 = 30.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 49", + " Minutes = 13", + " Seconds = 27.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 25°17'30.0\"S, 49°13'27.0\"W", + "FINAL ANSWER: 25°17'30.0\"S, 49°13'27.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Melle", + "source_format": "decimal_degrees", + "source_string": "52.201970, 8.338260", + "target_format": "DMS", + "ground_truth": { + "target_string": "52°12'7.1\"N, 8°20'17.7\"E", + "latitude": 52.20197, + "longitude": 8.33826 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 52.201970, 8.338260", + " Latitude: 52.20197°", + " Longitude: 8.33826°", + "Step 2: Convert latitude to DMS", + " Degrees = 52", + " Minutes = int((52.201970 - 52) × 60) = 12", + " Seconds = ((52.201970 - 52) × 60 - 12) × 60 = 7.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 8", + " Minutes = 20", + " Seconds = 17.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 52°12'7.1\"N, 8°20'17.7\"E", + "FINAL ANSWER: 52°12'7.1\"N, 8°20'17.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Érd", + "source_format": "decimal_degrees", + "source_string": "47.394890, 18.913610", + "target_format": "DMS", + "ground_truth": { + "target_string": "47°23'41.6\"N, 18°54'49.0\"E", + "latitude": 47.39489, + "longitude": 18.91361 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 47.394890, 18.913610", + " Latitude: 47.39489°", + " Longitude: 18.91361°", + "Step 2: Convert latitude to DMS", + " Degrees = 47", + " Minutes = int((47.394890 - 47) × 60) = 23", + " Seconds = ((47.394890 - 47) × 60 - 23) × 60 = 41.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 18", + " Minutes = 54", + " Seconds = 49.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 47°23'41.6\"N, 18°54'49.0\"E", + "FINAL ANSWER: 47°23'41.6\"N, 18°54'49.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Rillieux-la-Pape", + "source_format": "DMS", + "source_string": "45°49'0.0\"N, 4°54'0.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "45.816670, 4.900000", + "latitude": 45.81667, + "longitude": 4.9 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 45°49'0.0\"N, 4°54'0.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 45.81667°", + "Step 4: Calculate longitude", + " Longitude: 4.9°", + "FINAL ANSWER: 45.816670, 4.900000" + ] + }, + { + "task": "format_conversion", + "location_name": "Ambaji", + "source_format": "DMS", + "source_string": "24°19'54.3\"N, 72°50'44.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "24.331740, 72.845640", + "latitude": 24.33174, + "longitude": 72.84564 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 24°19'54.3\"N, 72°50'44.3\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 24.33174°", + "Step 4: Calculate longitude", + " Longitude: 72.84564°", + "FINAL ANSWER: 24.331740, 72.845640" + ] + }, + { + "task": "format_conversion", + "location_name": "Crowthorne", + "source_format": "DMS", + "source_string": "51°22'13.0\"N, 0°47'31.9\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "51.370270, -0.792190", + "latitude": 51.37027, + "longitude": -0.79219 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 51°22'13.0\"N, 0°47'31.9\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 51.37027°", + "Step 4: Calculate longitude", + " Longitude: -0.79219°", + "FINAL ANSWER: 51.370270, -0.792190" + ] + }, + { + "task": "format_conversion", + "location_name": "Limay", + "source_format": "DMS", + "source_string": "48°59'43.9\"N, 1°44'26.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "48.995530, 1.740810", + "latitude": 48.99553, + "longitude": 1.74081 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 48°59'43.9\"N, 1°44'26.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 48.99553°", + "Step 4: Calculate longitude", + " Longitude: 1.74081°", + "FINAL ANSWER: 48.995530, 1.740810" + ] + }, + { + "task": "format_conversion", + "location_name": "Lauderhill", + "source_format": "DMS", + "source_string": "26°8'25.3\"N, 80°12'48.2\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "26.140360, -80.213380", + "latitude": 26.14036, + "longitude": -80.21338 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 26°8'25.3\"N, 80°12'48.2\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 26.14036°", + "Step 4: Calculate longitude", + " Longitude: -80.21338°", + "FINAL ANSWER: 26.140360, -80.213380" + ] + }, + { + "task": "format_conversion", + "location_name": "Boon Lay", + "source_format": "decimal_degrees", + "source_string": "1.311000, 103.694000", + "target_format": "DMS", + "ground_truth": { + "target_string": "1°18'39.6\"N, 103°41'38.4\"E", + "latitude": 1.311, + "longitude": 103.694 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 1.311000, 103.694000", + " Latitude: 1.311°", + " Longitude: 103.694°", + "Step 2: Convert latitude to DMS", + " Degrees = 1", + " Minutes = int((1.311000 - 1) × 60) = 18", + " Seconds = ((1.311000 - 1) × 60 - 18) × 60 = 39.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 103", + " Minutes = 41", + " Seconds = 38.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 1°18'39.6\"N, 103°41'38.4\"E", + "FINAL ANSWER: 1°18'39.6\"N, 103°41'38.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Valdepeñas", + "source_format": "decimal_degrees", + "source_string": "38.762110, -3.384830", + "target_format": "DMS", + "ground_truth": { + "target_string": "38°45'43.6\"N, 3°23'5.4\"W", + "latitude": 38.76211, + "longitude": -3.38483 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 38.762110, -3.384830", + " Latitude: 38.76211°", + " Longitude: -3.38483°", + "Step 2: Convert latitude to DMS", + " Degrees = 38", + " Minutes = int((38.762110 - 38) × 60) = 45", + " Seconds = ((38.762110 - 38) × 60 - 45) × 60 = 43.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 3", + " Minutes = 23", + " Seconds = 5.4", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 38°45'43.6\"N, 3°23'5.4\"W", + "FINAL ANSWER: 38°45'43.6\"N, 3°23'5.4\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Kataysk", + "source_format": "decimal_degrees", + "source_string": "56.288540, 62.581150", + "target_format": "DMS", + "ground_truth": { + "target_string": "56°17'18.7\"N, 62°34'52.1\"E", + "latitude": 56.28854, + "longitude": 62.58115 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 56.288540, 62.581150", + " Latitude: 56.28854°", + " Longitude: 62.58115°", + "Step 2: Convert latitude to DMS", + " Degrees = 56", + " Minutes = int((56.288540 - 56) × 60) = 17", + " Seconds = ((56.288540 - 56) × 60 - 17) × 60 = 18.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 62", + " Minutes = 34", + " Seconds = 52.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 56°17'18.7\"N, 62°34'52.1\"E", + "FINAL ANSWER: 56°17'18.7\"N, 62°34'52.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Zacatecas", + "source_format": "decimal_degrees", + "source_string": "22.768430, -102.581410", + "target_format": "DMS", + "ground_truth": { + "target_string": "22°46'6.3\"N, 102°34'53.1\"W", + "latitude": 22.76843, + "longitude": -102.58141 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 22.768430, -102.581410", + " Latitude: 22.76843°", + " Longitude: -102.58141°", + "Step 2: Convert latitude to DMS", + " Degrees = 22", + " Minutes = int((22.768430 - 22) × 60) = 46", + " Seconds = ((22.768430 - 22) × 60 - 46) × 60 = 6.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 102", + " Minutes = 34", + " Seconds = 53.1", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 22°46'6.3\"N, 102°34'53.1\"W", + "FINAL ANSWER: 22°46'6.3\"N, 102°34'53.1\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Tutóia", + "source_format": "decimal_degrees", + "source_string": "-2.761940, -42.274440", + "target_format": "DMS", + "ground_truth": { + "target_string": "2°45'43.0\"S, 42°16'28.0\"W", + "latitude": -2.76194, + "longitude": -42.27444 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -2.761940, -42.274440", + " Latitude: -2.76194°", + " Longitude: -42.27444°", + "Step 2: Convert latitude to DMS", + " Degrees = 2", + " Minutes = int((2.761940 - 2) × 60) = 45", + " Seconds = ((2.761940 - 2) × 60 - 45) × 60 = 43.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 42", + " Minutes = 16", + " Seconds = 28.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 2°45'43.0\"S, 42°16'28.0\"W", + "FINAL ANSWER: 2°45'43.0\"S, 42°16'28.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Maruim", + "source_format": "decimal_degrees", + "source_string": "-10.737500, -37.081670", + "target_format": "DMS", + "ground_truth": { + "target_string": "10°44'15.0\"S, 37°4'54.0\"W", + "latitude": -10.7375, + "longitude": -37.08167 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -10.737500, -37.081670", + " Latitude: -10.7375°", + " Longitude: -37.08167°", + "Step 2: Convert latitude to DMS", + " Degrees = 10", + " Minutes = int((10.737500 - 10) × 60) = 44", + " Seconds = ((10.737500 - 10) × 60 - 44) × 60 = 15.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 37", + " Minutes = 4", + " Seconds = 54.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 10°44'15.0\"S, 37°4'54.0\"W", + "FINAL ANSWER: 10°44'15.0\"S, 37°4'54.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Quţūr", + "source_format": "DMS", + "source_string": "30°58'20.1\"N, 30°57'22.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "30.972250, 30.956140", + "latitude": 30.97225, + "longitude": 30.95614 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 30°58'20.1\"N, 30°57'22.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 30.97225°", + "Step 4: Calculate longitude", + " Longitude: 30.95614°", + "FINAL ANSWER: 30.972250, 30.956140" + ] + }, + { + "task": "format_conversion", + "location_name": "Calne", + "source_format": "decimal_degrees", + "source_string": "51.438790, -2.005710", + "target_format": "DMS", + "ground_truth": { + "target_string": "51°26'19.6\"N, 2°0'20.6\"W", + "latitude": 51.43879, + "longitude": -2.00571 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 51.438790, -2.005710", + " Latitude: 51.43879°", + " Longitude: -2.00571°", + "Step 2: Convert latitude to DMS", + " Degrees = 51", + " Minutes = int((51.438790 - 51) × 60) = 26", + " Seconds = ((51.438790 - 51) × 60 - 26) × 60 = 19.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 2", + " Minutes = 0", + " Seconds = 20.6", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 51°26'19.6\"N, 2°0'20.6\"W", + "FINAL ANSWER: 51°26'19.6\"N, 2°0'20.6\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Mundgod", + "source_format": "DMS", + "source_string": "14°58'17.2\"N, 75°2'11.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "14.971440, 75.036580", + "latitude": 14.97144, + "longitude": 75.03658 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 14°58'17.2\"N, 75°2'11.7\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 14.97144°", + "Step 4: Calculate longitude", + " Longitude: 75.03658°", + "FINAL ANSWER: 14.971440, 75.036580" + ] + }, + { + "task": "format_conversion", + "location_name": "Ode", + "source_format": "DMS", + "source_string": "7°47'23.6\"N, 5°42'42.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "7.789900, 5.711700", + "latitude": 7.7899, + "longitude": 5.7117 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 7°47'23.6\"N, 5°42'42.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 7.7899°", + "Step 4: Calculate longitude", + " Longitude: 5.7117°", + "FINAL ANSWER: 7.789900, 5.711700" + ] + }, + { + "task": "format_conversion", + "location_name": "Fuji", + "source_format": "decimal_degrees", + "source_string": "29.148190, 105.373910", + "target_format": "DMS", + "ground_truth": { + "target_string": "29°8'53.5\"N, 105°22'26.1\"E", + "latitude": 29.14819, + "longitude": 105.37391 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 29.148190, 105.373910", + " Latitude: 29.14819°", + " Longitude: 105.37391°", + "Step 2: Convert latitude to DMS", + " Degrees = 29", + " Minutes = int((29.148190 - 29) × 60) = 8", + " Seconds = ((29.148190 - 29) × 60 - 8) × 60 = 53.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 105", + " Minutes = 22", + " Seconds = 26.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 29°8'53.5\"N, 105°22'26.1\"E", + "FINAL ANSWER: 29°8'53.5\"N, 105°22'26.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Tombôco", + "source_format": "decimal_degrees", + "source_string": "-6.805170, 13.330170", + "target_format": "DMS", + "ground_truth": { + "target_string": "6°48'18.6\"S, 13°19'48.6\"E", + "latitude": -6.80517, + "longitude": 13.33017 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -6.805170, 13.330170", + " Latitude: -6.80517°", + " Longitude: 13.33017°", + "Step 2: Convert latitude to DMS", + " Degrees = 6", + " Minutes = int((6.805170 - 6) × 60) = 48", + " Seconds = ((6.805170 - 6) × 60 - 48) × 60 = 18.6", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 13", + " Minutes = 19", + " Seconds = 48.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 6°48'18.6\"S, 13°19'48.6\"E", + "FINAL ANSWER: 6°48'18.6\"S, 13°19'48.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kanamachi", + "source_format": "decimal_degrees", + "source_string": "35.765140, 139.866770", + "target_format": "DMS", + "ground_truth": { + "target_string": "35°45'54.5\"N, 139°52'0.4\"E", + "latitude": 35.76514, + "longitude": 139.86677 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 35.765140, 139.866770", + " Latitude: 35.76514°", + " Longitude: 139.86677°", + "Step 2: Convert latitude to DMS", + " Degrees = 35", + " Minutes = int((35.765140 - 35) × 60) = 45", + " Seconds = ((35.765140 - 35) × 60 - 45) × 60 = 54.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 139", + " Minutes = 52", + " Seconds = 0.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 35°45'54.5\"N, 139°52'0.4\"E", + "FINAL ANSWER: 35°45'54.5\"N, 139°52'0.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Yantai", + "source_format": "DMS", + "source_string": "37°28'35.4\"N, 121°26'26.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "37.476490, 121.440810", + "latitude": 37.47649, + "longitude": 121.44081 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 37°28'35.4\"N, 121°26'26.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 37.47649°", + "Step 4: Calculate longitude", + " Longitude: 121.44081°", + "FINAL ANSWER: 37.476490, 121.440810" + ] + }, + { + "task": "format_conversion", + "location_name": "Arar", + "source_format": "DMS", + "source_string": "30°58'31.1\"N, 41°2'17.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "30.975310, 41.038080", + "latitude": 30.97531, + "longitude": 41.03808 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 30°58'31.1\"N, 41°2'17.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 30.97531°", + "Step 4: Calculate longitude", + " Longitude: 41.03808°", + "FINAL ANSWER: 30.975310, 41.038080" + ] + }, + { + "task": "format_conversion", + "location_name": "Torre-Pacheco", + "source_format": "decimal_degrees", + "source_string": "37.742930, -0.953960", + "target_format": "DMS", + "ground_truth": { + "target_string": "37°44'34.5\"N, 0°57'14.3\"W", + "latitude": 37.74293, + "longitude": -0.95396 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 37.742930, -0.953960", + " Latitude: 37.74293°", + " Longitude: -0.95396°", + "Step 2: Convert latitude to DMS", + " Degrees = 37", + " Minutes = int((37.742930 - 37) × 60) = 44", + " Seconds = ((37.742930 - 37) × 60 - 44) × 60 = 34.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 0", + " Minutes = 57", + " Seconds = 14.3", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 37°44'34.5\"N, 0°57'14.3\"W", + "FINAL ANSWER: 37°44'34.5\"N, 0°57'14.3\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Dhanbad", + "source_format": "DMS", + "source_string": "23°47'51.3\"N, 86°25'47.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "23.797590, 86.429920", + "latitude": 23.79759, + "longitude": 86.42992 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 23°47'51.3\"N, 86°25'47.7\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 23.79759°", + "Step 4: Calculate longitude", + " Longitude: 86.42992°", + "FINAL ANSWER: 23.797590, 86.429920" + ] + }, + { + "task": "format_conversion", + "location_name": "Andalucía", + "source_format": "DMS", + "source_string": "4°10'14.2\"N, 76°9'59.1\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "4.170610, -76.166410", + "latitude": 4.17061, + "longitude": -76.16641 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 4°10'14.2\"N, 76°9'59.1\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 4.17061°", + "Step 4: Calculate longitude", + " Longitude: -76.16641°", + "FINAL ANSWER: 4.170610, -76.166410" + ] + }, + { + "task": "format_conversion", + "location_name": "Fetești-Gară", + "source_format": "DMS", + "source_string": "44°25'10.6\"N, 27°49'31.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "44.419600, 27.825360", + "latitude": 44.4196, + "longitude": 27.82536 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 44°25'10.6\"N, 27°49'31.3\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 44.4196°", + "Step 4: Calculate longitude", + " Longitude: 27.82536°", + "FINAL ANSWER: 44.419600, 27.825360" + ] + }, + { + "task": "format_conversion", + "location_name": "Satuba", + "source_format": "decimal_degrees", + "source_string": "-9.563330, -35.824440", + "target_format": "DMS", + "ground_truth": { + "target_string": "9°33'48.0\"S, 35°49'28.0\"W", + "latitude": -9.56333, + "longitude": -35.82444 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -9.563330, -35.824440", + " Latitude: -9.56333°", + " Longitude: -35.82444°", + "Step 2: Convert latitude to DMS", + " Degrees = 9", + " Minutes = int((9.563330 - 9) × 60) = 33", + " Seconds = ((9.563330 - 9) × 60 - 33) × 60 = 48.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 35", + " Minutes = 49", + " Seconds = 28.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 9°33'48.0\"S, 35°49'28.0\"W", + "FINAL ANSWER: 9°33'48.0\"S, 35°49'28.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Albadéria", + "source_format": "DMS", + "source_string": "9°33'0.0\"N, 10°5'60.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "9.550000, -10.100000", + "latitude": 9.55, + "longitude": -10.1 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 9°33'0.0\"N, 10°5'60.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 9.55°", + "Step 4: Calculate longitude", + " Longitude: -10.1°", + "FINAL ANSWER: 9.550000, -10.100000" + ] + }, + { + "task": "format_conversion", + "location_name": "San Antonio del Táchira", + "source_format": "decimal_degrees", + "source_string": "7.811200, -72.444370", + "target_format": "DMS", + "ground_truth": { + "target_string": "7°48'40.3\"N, 72°26'39.7\"W", + "latitude": 7.8112, + "longitude": -72.44437 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 7.811200, -72.444370", + " Latitude: 7.8112°", + " Longitude: -72.44437°", + "Step 2: Convert latitude to DMS", + " Degrees = 7", + " Minutes = int((7.811200 - 7) × 60) = 48", + " Seconds = ((7.811200 - 7) × 60 - 48) × 60 = 40.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 72", + " Minutes = 26", + " Seconds = 39.7", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 7°48'40.3\"N, 72°26'39.7\"W", + "FINAL ANSWER: 7°48'40.3\"N, 72°26'39.7\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Ōdate", + "source_format": "DMS", + "source_string": "40°16'18.4\"N, 140°33'27.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.271780, 140.557560", + "latitude": 40.27178, + "longitude": 140.55756 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°16'18.4\"N, 140°33'27.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 40.27178°", + "Step 4: Calculate longitude", + " Longitude: 140.55756°", + "FINAL ANSWER: 40.271780, 140.557560" + ] + }, + { + "task": "format_conversion", + "location_name": "Āykel", + "source_format": "DMS", + "source_string": "12°33'0.0\"N, 37°4'0.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "12.550000, 37.066670", + "latitude": 12.55, + "longitude": 37.06667 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 12°33'0.0\"N, 37°4'0.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 12.55°", + "Step 4: Calculate longitude", + " Longitude: 37.06667°", + "FINAL ANSWER: 12.550000, 37.066670" + ] + }, + { + "task": "format_conversion", + "location_name": "Karlskrona", + "source_format": "decimal_degrees", + "source_string": "56.161560, 15.586610", + "target_format": "DMS", + "ground_truth": { + "target_string": "56°9'41.6\"N, 15°35'11.8\"E", + "latitude": 56.16156, + "longitude": 15.58661 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 56.161560, 15.586610", + " Latitude: 56.16156°", + " Longitude: 15.58661°", + "Step 2: Convert latitude to DMS", + " Degrees = 56", + " Minutes = int((56.161560 - 56) × 60) = 9", + " Seconds = ((56.161560 - 56) × 60 - 9) × 60 = 41.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 15", + " Minutes = 35", + " Seconds = 11.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 56°9'41.6\"N, 15°35'11.8\"E", + "FINAL ANSWER: 56°9'41.6\"N, 15°35'11.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Ayagoz", + "source_format": "DMS", + "source_string": "47°57'52.1\"N, 80°26'3.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "47.964470, 80.434370", + "latitude": 47.96447, + "longitude": 80.43437 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 47°57'52.1\"N, 80°26'3.7\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 47.96447°", + "Step 4: Calculate longitude", + " Longitude: 80.43437°", + "FINAL ANSWER: 47.964470, 80.434370" + ] + }, + { + "task": "format_conversion", + "location_name": "Valkeakoski", + "source_format": "DMS", + "source_string": "61°15'51.2\"N, 24°1'52.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "61.264210, 24.031220", + "latitude": 61.26421, + "longitude": 24.03122 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 61°15'51.2\"N, 24°1'52.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 61.26421°", + "Step 4: Calculate longitude", + " Longitude: 24.03122°", + "FINAL ANSWER: 61.264210, 24.031220" + ] + }, + { + "task": "format_conversion", + "location_name": "Çay", + "source_format": "DMS", + "source_string": "38°35'30.0\"N, 31°1'43.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "38.591670, 31.028610", + "latitude": 38.59167, + "longitude": 31.02861 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 38°35'30.0\"N, 31°1'43.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 38.59167°", + "Step 4: Calculate longitude", + " Longitude: 31.02861°", + "FINAL ANSWER: 38.591670, 31.028610" + ] + }, + { + "task": "format_conversion", + "location_name": "Anapu", + "source_format": "DMS", + "source_string": "3°28'20.0\"S, 51°11'52.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-3.472220, -51.197780", + "latitude": -3.47222, + "longitude": -51.19778 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 3°28'20.0\"S, 51°11'52.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -3.47222°", + "Step 4: Calculate longitude", + " Longitude: -51.19778°", + "FINAL ANSWER: -3.472220, -51.197780" + ] + }, + { + "task": "format_conversion", + "location_name": "Beigang", + "source_format": "DMS", + "source_string": "23°34'12.4\"N, 120°18'5.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "23.570100, 120.301620", + "latitude": 23.5701, + "longitude": 120.30162 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 23°34'12.4\"N, 120°18'5.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 23.5701°", + "Step 4: Calculate longitude", + " Longitude: 120.30162°", + "FINAL ANSWER: 23.570100, 120.301620" + ] + }, + { + "task": "format_conversion", + "location_name": "Deoband", + "source_format": "decimal_degrees", + "source_string": "29.695050, 77.679640", + "target_format": "DMS", + "ground_truth": { + "target_string": "29°41'42.2\"N, 77°40'46.7\"E", + "latitude": 29.69505, + "longitude": 77.67964 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 29.695050, 77.679640", + " Latitude: 29.69505°", + " Longitude: 77.67964°", + "Step 2: Convert latitude to DMS", + " Degrees = 29", + " Minutes = int((29.695050 - 29) × 60) = 41", + " Seconds = ((29.695050 - 29) × 60 - 41) × 60 = 42.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 77", + " Minutes = 40", + " Seconds = 46.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 29°41'42.2\"N, 77°40'46.7\"E", + "FINAL ANSWER: 29°41'42.2\"N, 77°40'46.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Hopin", + "source_format": "DMS", + "source_string": "24°59'29.3\"N, 96°31'36.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "24.991460, 96.526810", + "latitude": 24.99146, + "longitude": 96.52681 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 24°59'29.3\"N, 96°31'36.5\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 24.99146°", + "Step 4: Calculate longitude", + " Longitude: 96.52681°", + "FINAL ANSWER: 24.991460, 96.526810" + ] + }, + { + "task": "format_conversion", + "location_name": "Mian Sahib", + "source_format": "DMS", + "source_string": "28°9'12.3\"N, 68°38'30.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "28.153410, 68.641820", + "latitude": 28.15341, + "longitude": 68.64182 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 28°9'12.3\"N, 68°38'30.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 28.15341°", + "Step 4: Calculate longitude", + " Longitude: 68.64182°", + "FINAL ANSWER: 28.153410, 68.641820" + ] + }, + { + "task": "format_conversion", + "location_name": "Malilipot", + "source_format": "DMS", + "source_string": "13°19'7.7\"N, 123°44'18.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "13.318800, 123.738500", + "latitude": 13.3188, + "longitude": 123.7385 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 13°19'7.7\"N, 123°44'18.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 13.3188°", + "Step 4: Calculate longitude", + " Longitude: 123.7385°", + "FINAL ANSWER: 13.318800, 123.738500" + ] + }, + { + "task": "format_conversion", + "location_name": "Alabaster", + "source_format": "decimal_degrees", + "source_string": "33.244280, -86.816380", + "target_format": "DMS", + "ground_truth": { + "target_string": "33°14'39.4\"N, 86°48'59.0\"W", + "latitude": 33.24428, + "longitude": -86.81638 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 33.244280, -86.816380", + " Latitude: 33.24428°", + " Longitude: -86.81638°", + "Step 2: Convert latitude to DMS", + " Degrees = 33", + " Minutes = int((33.244280 - 33) × 60) = 14", + " Seconds = ((33.244280 - 33) × 60 - 14) × 60 = 39.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 86", + " Minutes = 48", + " Seconds = 59.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 33°14'39.4\"N, 86°48'59.0\"W", + "FINAL ANSWER: 33°14'39.4\"N, 86°48'59.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Hajiawa", + "source_format": "DMS", + "source_string": "36°14'8.8\"N, 44°47'40.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "36.235790, 44.794690", + "latitude": 36.23579, + "longitude": 44.79469 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 36°14'8.8\"N, 44°47'40.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 36.23579°", + "Step 4: Calculate longitude", + " Longitude: 44.79469°", + "FINAL ANSWER: 36.235790, 44.794690" + ] + }, + { + "task": "format_conversion", + "location_name": "Köpenick", + "source_format": "decimal_degrees", + "source_string": "52.445500, 13.574550", + "target_format": "DMS", + "ground_truth": { + "target_string": "52°26'43.8\"N, 13°34'28.4\"E", + "latitude": 52.4455, + "longitude": 13.57455 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 52.445500, 13.574550", + " Latitude: 52.4455°", + " Longitude: 13.57455°", + "Step 2: Convert latitude to DMS", + " Degrees = 52", + " Minutes = int((52.445500 - 52) × 60) = 26", + " Seconds = ((52.445500 - 52) × 60 - 26) × 60 = 43.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 13", + " Minutes = 34", + " Seconds = 28.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 52°26'43.8\"N, 13°34'28.4\"E", + "FINAL ANSWER: 52°26'43.8\"N, 13°34'28.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Sawara", + "source_format": "decimal_degrees", + "source_string": "35.883330, 140.500000", + "target_format": "DMS", + "ground_truth": { + "target_string": "35°52'60.0\"N, 140°30'0.0\"E", + "latitude": 35.88333, + "longitude": 140.5 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 35.883330, 140.500000", + " Latitude: 35.88333°", + " Longitude: 140.5°", + "Step 2: Convert latitude to DMS", + " Degrees = 35", + " Minutes = int((35.883330 - 35) × 60) = 52", + " Seconds = ((35.883330 - 35) × 60 - 52) × 60 = 60.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 140", + " Minutes = 30", + " Seconds = 0.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 35°52'60.0\"N, 140°30'0.0\"E", + "FINAL ANSWER: 35°52'60.0\"N, 140°30'0.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Dubovka", + "source_format": "decimal_degrees", + "source_string": "49.056160, 44.829130", + "target_format": "DMS", + "ground_truth": { + "target_string": "49°3'22.2\"N, 44°49'44.9\"E", + "latitude": 49.05616, + "longitude": 44.82913 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 49.056160, 44.829130", + " Latitude: 49.05616°", + " Longitude: 44.82913°", + "Step 2: Convert latitude to DMS", + " Degrees = 49", + " Minutes = int((49.056160 - 49) × 60) = 3", + " Seconds = ((49.056160 - 49) × 60 - 3) × 60 = 22.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 44", + " Minutes = 49", + " Seconds = 44.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 49°3'22.2\"N, 44°49'44.9\"E", + "FINAL ANSWER: 49°3'22.2\"N, 44°49'44.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Luojiang", + "source_format": "DMS", + "source_string": "31°18'17.9\"N, 104°30'17.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "31.304970, 104.504840", + "latitude": 31.30497, + "longitude": 104.50484 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 31°18'17.9\"N, 104°30'17.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 31.30497°", + "Step 4: Calculate longitude", + " Longitude: 104.50484°", + "FINAL ANSWER: 31.304970, 104.504840" + ] + }, + { + "task": "format_conversion", + "location_name": "Rampur Hat", + "source_format": "DMS", + "source_string": "24°10'38.5\"N, 87°46'57.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "24.177370, 87.782750", + "latitude": 24.17737, + "longitude": 87.78275 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 24°10'38.5\"N, 87°46'57.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 24.17737°", + "Step 4: Calculate longitude", + " Longitude: 87.78275°", + "FINAL ANSWER: 24.177370, 87.782750" + ] + }, + { + "task": "format_conversion", + "location_name": "Việt Yên", + "source_format": "decimal_degrees", + "source_string": "21.266670, 106.133330", + "target_format": "DMS", + "ground_truth": { + "target_string": "21°16'0.0\"N, 106°7'60.0\"E", + "latitude": 21.26667, + "longitude": 106.13333 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 21.266670, 106.133330", + " Latitude: 21.26667°", + " Longitude: 106.13333°", + "Step 2: Convert latitude to DMS", + " Degrees = 21", + " Minutes = int((21.266670 - 21) × 60) = 16", + " Seconds = ((21.266670 - 21) × 60 - 16) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 106", + " Minutes = 7", + " Seconds = 60.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 21°16'0.0\"N, 106°7'60.0\"E", + "FINAL ANSWER: 21°16'0.0\"N, 106°7'60.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Simpsonville", + "source_format": "decimal_degrees", + "source_string": "34.737060, -82.254280", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°44'13.4\"N, 82°15'15.4\"W", + "latitude": 34.73706, + "longitude": -82.25428 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 34.737060, -82.254280", + " Latitude: 34.73706°", + " Longitude: -82.25428°", + "Step 2: Convert latitude to DMS", + " Degrees = 34", + " Minutes = int((34.737060 - 34) × 60) = 44", + " Seconds = ((34.737060 - 34) × 60 - 44) × 60 = 13.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 82", + " Minutes = 15", + " Seconds = 15.4", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 34°44'13.4\"N, 82°15'15.4\"W", + "FINAL ANSWER: 34°44'13.4\"N, 82°15'15.4\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Somerset", + "source_format": "DMS", + "source_string": "40°29'51.4\"N, 74°29'18.6\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.497600, -74.488490", + "latitude": 40.4976, + "longitude": -74.48849 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°29'51.4\"N, 74°29'18.6\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 40.4976°", + "Step 4: Calculate longitude", + " Longitude: -74.48849°", + "FINAL ANSWER: 40.497600, -74.488490" + ] + }, + { + "task": "format_conversion", + "location_name": "Kuta", + "source_format": "DMS", + "source_string": "8°43'24.0\"S, 115°10'20.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-8.723320, 115.172340", + "latitude": -8.72332, + "longitude": 115.17234 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 8°43'24.0\"S, 115°10'20.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -8.72332°", + "Step 4: Calculate longitude", + " Longitude: 115.17234°", + "FINAL ANSWER: -8.723320, 115.172340" + ] + }, + { + "task": "format_conversion", + "location_name": "Bitonto", + "source_format": "DMS", + "source_string": "41°6'36.2\"N, 16°41'27.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "41.110060, 16.690860", + "latitude": 41.11006, + "longitude": 16.69086 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 41°6'36.2\"N, 16°41'27.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 41.11006°", + "Step 4: Calculate longitude", + " Longitude: 16.69086°", + "FINAL ANSWER: 41.110060, 16.690860" + ] + }, + { + "task": "format_conversion", + "location_name": "Onyar", + "source_format": "DMS", + "source_string": "43°51'1.3\"N, 81°46'59.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "43.850370, 81.783080", + "latitude": 43.85037, + "longitude": 81.78308 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 43°51'1.3\"N, 81°46'59.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 43.85037°", + "Step 4: Calculate longitude", + " Longitude: 81.78308°", + "FINAL ANSWER: 43.850370, 81.783080" + ] + }, + { + "task": "format_conversion", + "location_name": "Grodzisk Mazowiecki", + "source_format": "decimal_degrees", + "source_string": "52.103870, 20.633700", + "target_format": "DMS", + "ground_truth": { + "target_string": "52°6'13.9\"N, 20°38'1.3\"E", + "latitude": 52.10387, + "longitude": 20.6337 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 52.103870, 20.633700", + " Latitude: 52.10387°", + " Longitude: 20.6337°", + "Step 2: Convert latitude to DMS", + " Degrees = 52", + " Minutes = int((52.103870 - 52) × 60) = 6", + " Seconds = ((52.103870 - 52) × 60 - 6) × 60 = 13.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 20", + " Minutes = 38", + " Seconds = 1.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 52°6'13.9\"N, 20°38'1.3\"E", + "FINAL ANSWER: 52°6'13.9\"N, 20°38'1.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Calvià", + "source_format": "DMS", + "source_string": "39°33'56.5\"N, 2°30'22.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "39.565700, 2.506210", + "latitude": 39.5657, + "longitude": 2.50621 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 39°33'56.5\"N, 2°30'22.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 39.5657°", + "Step 4: Calculate longitude", + " Longitude: 2.50621°", + "FINAL ANSWER: 39.565700, 2.506210" + ] + }, + { + "task": "format_conversion", + "location_name": "Hlubočepy", + "source_format": "DMS", + "source_string": "50°2'37.1\"N, 14°24'5.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "50.043640, 14.401620", + "latitude": 50.04364, + "longitude": 14.40162 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 50°2'37.1\"N, 14°24'5.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 50.04364°", + "Step 4: Calculate longitude", + " Longitude: 14.40162°", + "FINAL ANSWER: 50.043640, 14.401620" + ] + }, + { + "task": "format_conversion", + "location_name": "Buhimba", + "source_format": "decimal_degrees", + "source_string": "1.347220, 31.308060", + "target_format": "DMS", + "ground_truth": { + "target_string": "1°20'50.0\"N, 31°18'29.0\"E", + "latitude": 1.34722, + "longitude": 31.30806 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 1.347220, 31.308060", + " Latitude: 1.34722°", + " Longitude: 31.30806°", + "Step 2: Convert latitude to DMS", + " Degrees = 1", + " Minutes = int((1.347220 - 1) × 60) = 20", + " Seconds = ((1.347220 - 1) × 60 - 20) × 60 = 50.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 31", + " Minutes = 18", + " Seconds = 29.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 1°20'50.0\"N, 31°18'29.0\"E", + "FINAL ANSWER: 1°20'50.0\"N, 31°18'29.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Neratovice", + "source_format": "DMS", + "source_string": "50°15'33.3\"N, 14°31'3.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "50.259260, 14.517590", + "latitude": 50.25926, + "longitude": 14.51759 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 50°15'33.3\"N, 14°31'3.3\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 50.25926°", + "Step 4: Calculate longitude", + " Longitude: 14.51759°", + "FINAL ANSWER: 50.259260, 14.517590" + ] + }, + { + "task": "format_conversion", + "location_name": "Xinqing", + "source_format": "DMS", + "source_string": "48°17'13.2\"N, 129°31'24.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "48.287010, 129.523370", + "latitude": 48.28701, + "longitude": 129.52337 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 48°17'13.2\"N, 129°31'24.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 48.28701°", + "Step 4: Calculate longitude", + " Longitude: 129.52337°", + "FINAL ANSWER: 48.287010, 129.523370" + ] + }, + { + "task": "format_conversion", + "location_name": "Protaras", + "source_format": "DMS", + "source_string": "35°0'45.0\"N, 34°3'30.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "35.012500, 34.058330", + "latitude": 35.0125, + "longitude": 34.05833 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 35°0'45.0\"N, 34°3'30.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 35.0125°", + "Step 4: Calculate longitude", + " Longitude: 34.05833°", + "FINAL ANSWER: 35.012500, 34.058330" + ] + }, + { + "task": "format_conversion", + "location_name": "Bāri", + "source_format": "decimal_degrees", + "source_string": "26.646610, 77.616340", + "target_format": "DMS", + "ground_truth": { + "target_string": "26°38'47.8\"N, 77°36'58.8\"E", + "latitude": 26.64661, + "longitude": 77.61634 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 26.646610, 77.616340", + " Latitude: 26.64661°", + " Longitude: 77.61634°", + "Step 2: Convert latitude to DMS", + " Degrees = 26", + " Minutes = int((26.646610 - 26) × 60) = 38", + " Seconds = ((26.646610 - 26) × 60 - 38) × 60 = 47.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 77", + " Minutes = 36", + " Seconds = 58.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 26°38'47.8\"N, 77°36'58.8\"E", + "FINAL ANSWER: 26°38'47.8\"N, 77°36'58.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Dorking", + "source_format": "decimal_degrees", + "source_string": "51.232280, -0.333800", + "target_format": "DMS", + "ground_truth": { + "target_string": "51°13'56.2\"N, 0°20'1.7\"W", + "latitude": 51.23228, + "longitude": -0.3338 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 51.232280, -0.333800", + " Latitude: 51.23228°", + " Longitude: -0.3338°", + "Step 2: Convert latitude to DMS", + " Degrees = 51", + " Minutes = int((51.232280 - 51) × 60) = 13", + " Seconds = ((51.232280 - 51) × 60 - 13) × 60 = 56.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 0", + " Minutes = 20", + " Seconds = 1.7", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 51°13'56.2\"N, 0°20'1.7\"W", + "FINAL ANSWER: 51°13'56.2\"N, 0°20'1.7\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Pyskowice", + "source_format": "DMS", + "source_string": "50°23'60.0\"N, 18°37'60.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "50.400000, 18.633330", + "latitude": 50.4, + "longitude": 18.63333 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 50°23'60.0\"N, 18°37'60.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 50.4°", + "Step 4: Calculate longitude", + " Longitude: 18.63333°", + "FINAL ANSWER: 50.400000, 18.633330" + ] + }, + { + "task": "format_conversion", + "location_name": "Arpino", + "source_format": "decimal_degrees", + "source_string": "40.888820, 14.320150", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°53'19.8\"N, 14°19'12.5\"E", + "latitude": 40.88882, + "longitude": 14.32015 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.888820, 14.320150", + " Latitude: 40.88882°", + " Longitude: 14.32015°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.888820 - 40) × 60) = 53", + " Seconds = ((40.888820 - 40) × 60 - 53) × 60 = 19.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 14", + " Minutes = 19", + " Seconds = 12.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 40°53'19.8\"N, 14°19'12.5\"E", + "FINAL ANSWER: 40°53'19.8\"N, 14°19'12.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Bhatkal", + "source_format": "decimal_degrees", + "source_string": "13.985340, 74.555310", + "target_format": "DMS", + "ground_truth": { + "target_string": "13°59'7.2\"N, 74°33'19.1\"E", + "latitude": 13.98534, + "longitude": 74.55531 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 13.985340, 74.555310", + " Latitude: 13.98534°", + " Longitude: 74.55531°", + "Step 2: Convert latitude to DMS", + " Degrees = 13", + " Minutes = int((13.985340 - 13) × 60) = 59", + " Seconds = ((13.985340 - 13) × 60 - 59) × 60 = 7.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 74", + " Minutes = 33", + " Seconds = 19.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 13°59'7.2\"N, 74°33'19.1\"E", + "FINAL ANSWER: 13°59'7.2\"N, 74°33'19.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Siloam Springs", + "source_format": "decimal_degrees", + "source_string": "36.188140, -94.540500", + "target_format": "DMS", + "ground_truth": { + "target_string": "36°11'17.3\"N, 94°32'25.8\"W", + "latitude": 36.18814, + "longitude": -94.5405 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 36.188140, -94.540500", + " Latitude: 36.18814°", + " Longitude: -94.5405°", + "Step 2: Convert latitude to DMS", + " Degrees = 36", + " Minutes = int((36.188140 - 36) × 60) = 11", + " Seconds = ((36.188140 - 36) × 60 - 11) × 60 = 17.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 94", + " Minutes = 32", + " Seconds = 25.8", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 36°11'17.3\"N, 94°32'25.8\"W", + "FINAL ANSWER: 36°11'17.3\"N, 94°32'25.8\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Victoria", + "source_format": "DMS", + "source_string": "28°48'19.0\"N, 97°0'13.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "28.805270, -97.003600", + "latitude": 28.80527, + "longitude": -97.0036 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 28°48'19.0\"N, 97°0'13.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 28.80527°", + "Step 4: Calculate longitude", + " Longitude: -97.0036°", + "FINAL ANSWER: 28.805270, -97.003600" + ] + }, + { + "task": "format_conversion", + "location_name": "Hlotse", + "source_format": "decimal_degrees", + "source_string": "-28.871850, 28.045010", + "target_format": "DMS", + "ground_truth": { + "target_string": "28°52'18.7\"S, 28°2'42.0\"E", + "latitude": -28.87185, + "longitude": 28.04501 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -28.871850, 28.045010", + " Latitude: -28.87185°", + " Longitude: 28.04501°", + "Step 2: Convert latitude to DMS", + " Degrees = 28", + " Minutes = int((28.871850 - 28) × 60) = 52", + " Seconds = ((28.871850 - 28) × 60 - 52) × 60 = 18.7", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 28", + " Minutes = 2", + " Seconds = 42.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 28°52'18.7\"S, 28°2'42.0\"E", + "FINAL ANSWER: 28°52'18.7\"S, 28°2'42.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Poço Verde", + "source_format": "DMS", + "source_string": "10°42'30.0\"S, 38��10'60.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-10.708330, -38.183330", + "latitude": -10.70833, + "longitude": -38.18333 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 10°42'30.0\"S, 38°10'60.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -10.70833°", + "Step 4: Calculate longitude", + " Longitude: -38.18333°", + "FINAL ANSWER: -10.708330, -38.183330" + ] + }, + { + "task": "format_conversion", + "location_name": "Jerantut", + "source_format": "DMS", + "source_string": "3°56'9.6\"N, 102°21'45.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "3.936000, 102.362600", + "latitude": 3.936, + "longitude": 102.3626 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 3°56'9.6\"N, 102°21'45.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 3.936°", + "Step 4: Calculate longitude", + " Longitude: 102.3626°", + "FINAL ANSWER: 3.936000, 102.362600" + ] + }, + { + "task": "format_conversion", + "location_name": "Lukuledi", + "source_format": "decimal_degrees", + "source_string": "-10.566670, 38.800000", + "target_format": "DMS", + "ground_truth": { + "target_string": "10°34'0.0\"S, 38°47'60.0\"E", + "latitude": -10.56667, + "longitude": 38.8 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -10.566670, 38.800000", + " Latitude: -10.56667°", + " Longitude: 38.8°", + "Step 2: Convert latitude to DMS", + " Degrees = 10", + " Minutes = int((10.566670 - 10) × 60) = 34", + " Seconds = ((10.566670 - 10) × 60 - 34) × 60 = 0.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 38", + " Minutes = 47", + " Seconds = 60.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 10°34'0.0\"S, 38°47'60.0\"E", + "FINAL ANSWER: 10°34'0.0\"S, 38°47'60.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Lagunillas", + "source_format": "DMS", + "source_string": "8°30'16.5\"N, 71°23'21.8\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "8.504570, -71.389400", + "latitude": 8.50457, + "longitude": -71.3894 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 8°30'16.5\"N, 71°23'21.8\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 8.50457°", + "Step 4: Calculate longitude", + " Longitude: -71.3894°", + "FINAL ANSWER: 8.504570, -71.389400" + ] + }, + { + "task": "format_conversion", + "location_name": "Valsād", + "source_format": "decimal_degrees", + "source_string": "20.610130, 72.934280", + "target_format": "DMS", + "ground_truth": { + "target_string": "20°36'36.5\"N, 72°56'3.4\"E", + "latitude": 20.61013, + "longitude": 72.93428 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 20.610130, 72.934280", + " Latitude: 20.61013°", + " Longitude: 72.93428°", + "Step 2: Convert latitude to DMS", + " Degrees = 20", + " Minutes = int((20.610130 - 20) × 60) = 36", + " Seconds = ((20.610130 - 20) × 60 - 36) × 60 = 36.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 72", + " Minutes = 56", + " Seconds = 3.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 20°36'36.5\"N, 72°56'3.4\"E", + "FINAL ANSWER: 20°36'36.5\"N, 72°56'3.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kapchorwa", + "source_format": "DMS", + "source_string": "1°24'3.5\"N, 34°27'1.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "1.400960, 34.450380", + "latitude": 1.40096, + "longitude": 34.45038 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 1°24'3.5\"N, 34°27'1.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 1.40096°", + "Step 4: Calculate longitude", + " Longitude: 34.45038°", + "FINAL ANSWER: 1.400960, 34.450380" + ] + }, + { + "task": "format_conversion", + "location_name": "Ţūz Khūrmātū", + "source_format": "DMS", + "source_string": "34°53'17.1\"N, 44°37'57.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "34.888080, 44.632560", + "latitude": 34.88808, + "longitude": 44.63256 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 34°53'17.1\"N, 44°37'57.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 34.88808°", + "Step 4: Calculate longitude", + " Longitude: 44.63256°", + "FINAL ANSWER: 34.888080, 44.632560" + ] + }, + { + "task": "format_conversion", + "location_name": "Anklesvar INA", + "source_format": "decimal_degrees", + "source_string": "21.616750, 73.027590", + "target_format": "DMS", + "ground_truth": { + "target_string": "21°37'0.3\"N, 73°1'39.3\"E", + "latitude": 21.61675, + "longitude": 73.02759 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 21.616750, 73.027590", + " Latitude: 21.61675°", + " Longitude: 73.02759°", + "Step 2: Convert latitude to DMS", + " Degrees = 21", + " Minutes = int((21.616750 - 21) × 60) = 37", + " Seconds = ((21.616750 - 21) × 60 - 37) × 60 = 0.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 73", + " Minutes = 1", + " Seconds = 39.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 21°37'0.3\"N, 73°1'39.3\"E", + "FINAL ANSWER: 21°37'0.3\"N, 73°1'39.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Labrador", + "source_format": "DMS", + "source_string": "27°56'38.5\"S, 153°23'53.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-27.944020, 153.398150", + "latitude": -27.94402, + "longitude": 153.39815 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 27°56'38.5\"S, 153°23'53.3\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -27.94402°", + "Step 4: Calculate longitude", + " Longitude: 153.39815°", + "FINAL ANSWER: -27.944020, 153.398150" + ] + }, + { + "task": "format_conversion", + "location_name": "Qingping", + "source_format": "decimal_degrees", + "source_string": "29.976960, 106.520570", + "target_format": "DMS", + "ground_truth": { + "target_string": "29°58'37.1\"N, 106°31'14.1\"E", + "latitude": 29.97696, + "longitude": 106.52057 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 29.976960, 106.520570", + " Latitude: 29.97696°", + " Longitude: 106.52057°", + "Step 2: Convert latitude to DMS", + " Degrees = 29", + " Minutes = int((29.976960 - 29) × 60) = 58", + " Seconds = ((29.976960 - 29) × 60 - 58) × 60 = 37.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 106", + " Minutes = 31", + " Seconds = 14.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 29°58'37.1\"N, 106°31'14.1\"E", + "FINAL ANSWER: 29°58'37.1\"N, 106°31'14.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "New Achimota", + "source_format": "decimal_degrees", + "source_string": "5.626570, -0.258070", + "target_format": "DMS", + "ground_truth": { + "target_string": "5°37'35.7\"N, 0°15'29.1\"W", + "latitude": 5.62657, + "longitude": -0.25807 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 5.626570, -0.258070", + " Latitude: 5.62657°", + " Longitude: -0.25807°", + "Step 2: Convert latitude to DMS", + " Degrees = 5", + " Minutes = int((5.626570 - 5) × 60) = 37", + " Seconds = ((5.626570 - 5) × 60 - 37) × 60 = 35.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 0", + " Minutes = 15", + " Seconds = 29.1", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 5°37'35.7\"N, 0°15'29.1\"W", + "FINAL ANSWER: 5°37'35.7\"N, 0°15'29.1\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Leuben", + "source_format": "decimal_degrees", + "source_string": "51.011220, 13.820290", + "target_format": "DMS", + "ground_truth": { + "target_string": "51°0'40.4\"N, 13°49'13.0\"E", + "latitude": 51.01122, + "longitude": 13.82029 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 51.011220, 13.820290", + " Latitude: 51.01122°", + " Longitude: 13.82029°", + "Step 2: Convert latitude to DMS", + " Degrees = 51", + " Minutes = int((51.011220 - 51) × 60) = 0", + " Seconds = ((51.011220 - 51) × 60 - 0) × 60 = 40.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 13", + " Minutes = 49", + " Seconds = 13.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 51°0'40.4\"N, 13°49'13.0\"E", + "FINAL ANSWER: 51°0'40.4\"N, 13°49'13.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Hpa-An", + "source_format": "DMS", + "source_string": "16°53'22.3\"N, 97°38'5.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "16.889530, 97.634820", + "latitude": 16.88953, + "longitude": 97.63482 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 16°53'22.3\"N, 97°38'5.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 16.88953°", + "Step 4: Calculate longitude", + " Longitude: 97.63482°", + "FINAL ANSWER: 16.889530, 97.634820" + ] + }, + { + "task": "format_conversion", + "location_name": "Cam Ranh", + "source_format": "DMS", + "source_string": "11°55'17.2\"N, 109°9'32.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "11.921440, 109.159130", + "latitude": 11.92144, + "longitude": 109.15913 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 11°55'17.2\"N, 109°9'32.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 11.92144°", + "Step 4: Calculate longitude", + " Longitude: 109.15913°", + "FINAL ANSWER: 11.921440, 109.159130" + ] + }, + { + "task": "format_conversion", + "location_name": "Xiongzhou", + "source_format": "DMS", + "source_string": "25°7'0.0\"N, 114°17'60.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "25.116670, 114.300000", + "latitude": 25.11667, + "longitude": 114.3 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 25°7'0.0\"N, 114°17'60.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 25.11667°", + "Step 4: Calculate longitude", + " Longitude: 114.3°", + "FINAL ANSWER: 25.116670, 114.300000" + ] + }, + { + "task": "format_conversion", + "location_name": "Grand-Zattry", + "source_format": "decimal_degrees", + "source_string": "6.116200, -6.536030", + "target_format": "DMS", + "ground_truth": { + "target_string": "6°6'58.3\"N, 6°32'9.7\"W", + "latitude": 6.1162, + "longitude": -6.53603 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 6.116200, -6.536030", + " Latitude: 6.1162°", + " Longitude: -6.53603°", + "Step 2: Convert latitude to DMS", + " Degrees = 6", + " Minutes = int((6.116200 - 6) × 60) = 6", + " Seconds = ((6.116200 - 6) × 60 - 6) × 60 = 58.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 6", + " Minutes = 32", + " Seconds = 9.7", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 6°6'58.3\"N, 6°32'9.7\"W", + "FINAL ANSWER: 6°6'58.3\"N, 6°32'9.7\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Sikandarpur", + "source_format": "decimal_degrees", + "source_string": "26.043270, 84.052980", + "target_format": "DMS", + "ground_truth": { + "target_string": "26°2'35.8\"N, 84°3'10.7\"E", + "latitude": 26.04327, + "longitude": 84.05298 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 26.043270, 84.052980", + " Latitude: 26.04327°", + " Longitude: 84.05298°", + "Step 2: Convert latitude to DMS", + " Degrees = 26", + " Minutes = int((26.043270 - 26) × 60) = 2", + " Seconds = ((26.043270 - 26) × 60 - 2) × 60 = 35.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 84", + " Minutes = 3", + " Seconds = 10.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 26°2'35.8\"N, 84°3'10.7\"E", + "FINAL ANSWER: 26°2'35.8\"N, 84°3'10.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Helao Nafidi", + "source_format": "DMS", + "source_string": "17°23'35.6\"S, 15°53'27.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-17.393210, 15.891070", + "latitude": -17.39321, + "longitude": 15.89107 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 17°23'35.6\"S, 15°53'27.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -17.39321°", + "Step 4: Calculate longitude", + " Longitude: 15.89107°", + "FINAL ANSWER: -17.393210, 15.891070" + ] + }, + { + "task": "format_conversion", + "location_name": "Chai Nat", + "source_format": "DMS", + "source_string": "15°11'10.9\"N, 100°7'24.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "15.186360, 100.123530", + "latitude": 15.18636, + "longitude": 100.12353 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 15°11'10.9\"N, 100°7'24.7\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 15.18636°", + "Step 4: Calculate longitude", + " Longitude: 100.12353°", + "FINAL ANSWER: 15.186360, 100.123530" + ] + }, + { + "task": "format_conversion", + "location_name": "Bom Jesus do Itabapoana", + "source_format": "decimal_degrees", + "source_string": "-21.133890, -41.679720", + "target_format": "DMS", + "ground_truth": { + "target_string": "21°8'2.0\"S, 41°40'47.0\"W", + "latitude": -21.13389, + "longitude": -41.67972 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -21.133890, -41.679720", + " Latitude: -21.13389°", + " Longitude: -41.67972°", + "Step 2: Convert latitude to DMS", + " Degrees = 21", + " Minutes = int((21.133890 - 21) × 60) = 8", + " Seconds = ((21.133890 - 21) × 60 - 8) × 60 = 2.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 41", + " Minutes = 40", + " Seconds = 47.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 21°8'2.0\"S, 41°40'47.0\"W", + "FINAL ANSWER: 21°8'2.0\"S, 41°40'47.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Águas de Lindóia", + "source_format": "decimal_degrees", + "source_string": "-22.476390, -46.632780", + "target_format": "DMS", + "ground_truth": { + "target_string": "22°28'35.0\"S, 46°37'58.0\"W", + "latitude": -22.47639, + "longitude": -46.63278 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -22.476390, -46.632780", + " Latitude: -22.47639°", + " Longitude: -46.63278°", + "Step 2: Convert latitude to DMS", + " Degrees = 22", + " Minutes = int((22.476390 - 22) × 60) = 28", + " Seconds = ((22.476390 - 22) × 60 - 28) × 60 = 35.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 46", + " Minutes = 37", + " Seconds = 58.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 22°28'35.0\"S, 46°37'58.0\"W", + "FINAL ANSWER: 22°28'35.0\"S, 46°37'58.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Keynsham", + "source_format": "decimal_degrees", + "source_string": "51.413870, -2.497800", + "target_format": "DMS", + "ground_truth": { + "target_string": "51°24'49.9\"N, 2°29'52.1\"W", + "latitude": 51.41387, + "longitude": -2.4978 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 51.413870, -2.497800", + " Latitude: 51.41387°", + " Longitude: -2.4978°", + "Step 2: Convert latitude to DMS", + " Degrees = 51", + " Minutes = int((51.413870 - 51) × 60) = 24", + " Seconds = ((51.413870 - 51) × 60 - 24) × 60 = 49.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 2", + " Minutes = 29", + " Seconds = 52.1", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 51°24'49.9\"N, 2°29'52.1\"W", + "FINAL ANSWER: 51°24'49.9\"N, 2°29'52.1\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Keffi", + "source_format": "decimal_degrees", + "source_string": "8.846510, 7.873540", + "target_format": "DMS", + "ground_truth": { + "target_string": "8°50'47.4\"N, 7°52'24.7\"E", + "latitude": 8.84651, + "longitude": 7.87354 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 8.846510, 7.873540", + " Latitude: 8.84651°", + " Longitude: 7.87354°", + "Step 2: Convert latitude to DMS", + " Degrees = 8", + " Minutes = int((8.846510 - 8) × 60) = 50", + " Seconds = ((8.846510 - 8) × 60 - 50) × 60 = 47.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 7", + " Minutes = 52", + " Seconds = 24.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 8°50'47.4\"N, 7°52'24.7\"E", + "FINAL ANSWER: 8°50'47.4\"N, 7°52'24.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Gafsa", + "source_format": "DMS", + "source_string": "34°25'30.0\"N, 8°47'3.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "34.425000, 8.784170", + "latitude": 34.425, + "longitude": 8.78417 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 34°25'30.0\"N, 8°47'3.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 34.425°", + "Step 4: Calculate longitude", + " Longitude: 8.78417°", + "FINAL ANSWER: 34.425000, 8.784170" + ] + }, + { + "task": "format_conversion", + "location_name": "Yerres", + "source_format": "DMS", + "source_string": "48°43'4.3\"N, 2°29'36.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "48.717850, 2.493380", + "latitude": 48.71785, + "longitude": 2.49338 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 48°43'4.3\"N, 2°29'36.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 48.71785°", + "Step 4: Calculate longitude", + " Longitude: 2.49338°", + "FINAL ANSWER: 48.717850, 2.493380" + ] + }, + { + "task": "format_conversion", + "location_name": "Brilon", + "source_format": "DMS", + "source_string": "51°23'40.6\"N, 8°34'17.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "51.394620, 8.571460", + "latitude": 51.39462, + "longitude": 8.57146 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 51°23'40.6\"N, 8°34'17.3\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 51.39462°", + "Step 4: Calculate longitude", + " Longitude: 8.57146°", + "FINAL ANSWER: 51.394620, 8.571460" + ] + }, + { + "task": "format_conversion", + "location_name": "Belvedere Park", + "source_format": "decimal_degrees", + "source_string": "33.754830, -84.267420", + "target_format": "DMS", + "ground_truth": { + "target_string": "33°45'17.4\"N, 84°16'2.7\"W", + "latitude": 33.75483, + "longitude": -84.26742 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 33.754830, -84.267420", + " Latitude: 33.75483°", + " Longitude: -84.26742°", + "Step 2: Convert latitude to DMS", + " Degrees = 33", + " Minutes = int((33.754830 - 33) × 60) = 45", + " Seconds = ((33.754830 - 33) × 60 - 45) × 60 = 17.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 84", + " Minutes = 16", + " Seconds = 2.7", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 33°45'17.4\"N, 84°16'2.7\"W", + "FINAL ANSWER: 33°45'17.4\"N, 84°16'2.7\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Shah Alam", + "source_format": "DMS", + "source_string": "3°5'6.3\"N, 101°31'58.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "3.085070, 101.532810", + "latitude": 3.08507, + "longitude": 101.53281 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 3°5'6.3\"N, 101°31'58.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 3.08507°", + "Step 4: Calculate longitude", + " Longitude: 101.53281°", + "FINAL ANSWER: 3.085070, 101.532810" + ] + }, + { + "task": "format_conversion", + "location_name": "Chita", + "source_format": "DMS", + "source_string": "35°0'9.6\"N, 136°51'51.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "35.002670, 136.864200", + "latitude": 35.00267, + "longitude": 136.8642 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 35°0'9.6\"N, 136°51'51.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 35.00267°", + "Step 4: Calculate longitude", + " Longitude: 136.8642°", + "FINAL ANSWER: 35.002670, 136.864200" + ] + }, + { + "task": "format_conversion", + "location_name": "Northbrook", + "source_format": "DMS", + "source_string": "42°7'39.1\"N, 87°49'44.2\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "42.127530, -87.828950", + "latitude": 42.12753, + "longitude": -87.82895 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 42°7'39.1\"N, 87°49'44.2\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 42.12753°", + "Step 4: Calculate longitude", + " Longitude: -87.82895°", + "FINAL ANSWER: 42.127530, -87.828950" + ] + }, + { + "task": "format_conversion", + "location_name": "Luohuang", + "source_format": "DMS", + "source_string": "29°20'47.8\"N, 106°26'6.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "29.346620, 106.435140", + "latitude": 29.34662, + "longitude": 106.43514 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 29°20'47.8\"N, 106°26'6.5\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 29.34662°", + "Step 4: Calculate longitude", + " Longitude: 106.43514°", + "FINAL ANSWER: 29.346620, 106.435140" + ] + }, + { + "task": "format_conversion", + "location_name": "Klimovichi", + "source_format": "decimal_degrees", + "source_string": "53.604920, 31.956320", + "target_format": "DMS", + "ground_truth": { + "target_string": "53°36'17.7\"N, 31°57'22.8\"E", + "latitude": 53.60492, + "longitude": 31.95632 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 53.604920, 31.956320", + " Latitude: 53.60492°", + " Longitude: 31.95632°", + "Step 2: Convert latitude to DMS", + " Degrees = 53", + " Minutes = int((53.604920 - 53) × 60) = 36", + " Seconds = ((53.604920 - 53) × 60 - 36) × 60 = 17.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 31", + " Minutes = 57", + " Seconds = 22.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 53°36'17.7\"N, 31°57'22.8\"E", + "FINAL ANSWER: 53°36'17.7\"N, 31°57'22.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Point Pleasant", + "source_format": "DMS", + "source_string": "40°4'59.4\"N, 74°4'5.5\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.083170, -74.068190", + "latitude": 40.08317, + "longitude": -74.06819 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°4'59.4\"N, 74°4'5.5\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 40.08317°", + "Step 4: Calculate longitude", + " Longitude: -74.06819°", + "FINAL ANSWER: 40.083170, -74.068190" + ] + }, + { + "task": "format_conversion", + "location_name": "Renukūt", + "source_format": "decimal_degrees", + "source_string": "24.216410, 83.035800", + "target_format": "DMS", + "ground_truth": { + "target_string": "24°12'59.1\"N, 83°2'8.9\"E", + "latitude": 24.21641, + "longitude": 83.0358 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 24.216410, 83.035800", + " Latitude: 24.21641°", + " Longitude: 83.0358°", + "Step 2: Convert latitude to DMS", + " Degrees = 24", + " Minutes = int((24.216410 - 24) × 60) = 12", + " Seconds = ((24.216410 - 24) × 60 - 12) × 60 = 59.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 83", + " Minutes = 2", + " Seconds = 8.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 24°12'59.1\"N, 83°2'8.9\"E", + "FINAL ANSWER: 24°12'59.1\"N, 83°2'8.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Werribee", + "source_format": "DMS", + "source_string": "37°53'60.0\"S, 144°40'0.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-37.900000, 144.666670", + "latitude": -37.9, + "longitude": 144.66667 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 37°53'60.0\"S, 144°40'0.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -37.9°", + "Step 4: Calculate longitude", + " Longitude: 144.66667°", + "FINAL ANSWER: -37.900000, 144.666670" + ] + }, + { + "task": "format_conversion", + "location_name": "Tizi Gheniff", + "source_format": "decimal_degrees", + "source_string": "36.588390, 3.774450", + "target_format": "DMS", + "ground_truth": { + "target_string": "36°35'18.2\"N, 3°46'28.0\"E", + "latitude": 36.58839, + "longitude": 3.77445 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 36.588390, 3.774450", + " Latitude: 36.58839°", + " Longitude: 3.77445°", + "Step 2: Convert latitude to DMS", + " Degrees = 36", + " Minutes = int((36.588390 - 36) × 60) = 35", + " Seconds = ((36.588390 - 36) × 60 - 35) × 60 = 18.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 3", + " Minutes = 46", + " Seconds = 28.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 36°35'18.2\"N, 3°46'28.0\"E", + "FINAL ANSWER: 36°35'18.2\"N, 3°46'28.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "La Carlota", + "source_format": "DMS", + "source_string": "10°25'27.1\"N, 122°55'16.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "10.424200, 122.921200", + "latitude": 10.4242, + "longitude": 122.9212 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 10°25'27.1\"N, 122°55'16.3\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 10.4242°", + "Step 4: Calculate longitude", + " Longitude: 122.9212°", + "FINAL ANSWER: 10.424200, 122.921200" + ] + }, + { + "task": "format_conversion", + "location_name": "Zarumilla", + "source_format": "decimal_degrees", + "source_string": "-3.503060, -80.273060", + "target_format": "DMS", + "ground_truth": { + "target_string": "3°30'11.0\"S, 80°16'23.0\"W", + "latitude": -3.50306, + "longitude": -80.27306 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -3.503060, -80.273060", + " Latitude: -3.50306°", + " Longitude: -80.27306°", + "Step 2: Convert latitude to DMS", + " Degrees = 3", + " Minutes = int((3.503060 - 3) × 60) = 30", + " Seconds = ((3.503060 - 3) × 60 - 30) × 60 = 11.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 80", + " Minutes = 16", + " Seconds = 23.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 3°30'11.0\"S, 80°16'23.0\"W", + "FINAL ANSWER: 3°30'11.0\"S, 80°16'23.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Espoonlahti", + "source_format": "DMS", + "source_string": "60°9'1.9\"N, 24°39'11.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "60.150540, 24.653070", + "latitude": 60.15054, + "longitude": 24.65307 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 60°9'1.9\"N, 24°39'11.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 60.15054°", + "Step 4: Calculate longitude", + " Longitude: 24.65307°", + "FINAL ANSWER: 60.150540, 24.653070" + ] + }, + { + "task": "format_conversion", + "location_name": "Nazca", + "source_format": "decimal_degrees", + "source_string": "-14.830980, -74.938950", + "target_format": "DMS", + "ground_truth": { + "target_string": "14°49'51.5\"S, 74°56'20.2\"W", + "latitude": -14.83098, + "longitude": -74.93895 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -14.830980, -74.938950", + " Latitude: -14.83098°", + " Longitude: -74.93895°", + "Step 2: Convert latitude to DMS", + " Degrees = 14", + " Minutes = int((14.830980 - 14) × 60) = 49", + " Seconds = ((14.830980 - 14) × 60 - 49) × 60 = 51.5", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 74", + " Minutes = 56", + " Seconds = 20.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 14°49'51.5\"S, 74°56'20.2\"W", + "FINAL ANSWER: 14°49'51.5\"S, 74°56'20.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Popovo", + "source_format": "DD", + "source_string": "43.350000, 26.233330", + "target_format": "DMS", + "ground_truth": { + "target_string": "43°21'0.0\"N, 26°13'60.0\"E", + "latitude": 43.35, + "longitude": 26.23333 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: 43.350000, 26.233330", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 43°21'0.0\"N, 26°13'60.0\"E", + "FINAL ANSWER: 43°21'0.0\"N, 26°13'60.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Rotenburg", + "source_format": "decimal_degrees", + "source_string": "53.111250, 9.410820", + "target_format": "DMS", + "ground_truth": { + "target_string": "53°6'40.5\"N, 9°24'39.0\"E", + "latitude": 53.11125, + "longitude": 9.41082 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 53.111250, 9.410820", + " Latitude: 53.11125°", + " Longitude: 9.41082°", + "Step 2: Convert latitude to DMS", + " Degrees = 53", + " Minutes = int((53.111250 - 53) × 60) = 6", + " Seconds = ((53.111250 - 53) × 60 - 6) × 60 = 40.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 9", + " Minutes = 24", + " Seconds = 39.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 53°6'40.5\"N, 9°24'39.0\"E", + "FINAL ANSWER: 53°6'40.5\"N, 9°24'39.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Horwich", + "source_format": "DMS", + "source_string": "53°36'4.5\"N, 2°32'59.1\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "53.601260, -2.549750", + "latitude": 53.60126, + "longitude": -2.54975 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 53°36'4.5\"N, 2°32'59.1\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 53.60126°", + "Step 4: Calculate longitude", + " Longitude: -2.54975°", + "FINAL ANSWER: 53.601260, -2.549750" + ] + }, + { + "task": "format_conversion", + "location_name": "Kericho", + "source_format": "DMS", + "source_string": "0°22'3.9\"S, 35°16'59.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-0.367740, 35.283140", + "latitude": -0.36774, + "longitude": 35.28314 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 0°22'3.9\"S, 35°16'59.3\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -0.36774°", + "Step 4: Calculate longitude", + " Longitude: 35.28314°", + "FINAL ANSWER: -0.367740, 35.283140" + ] + }, + { + "task": "format_conversion", + "location_name": "Calella", + "source_format": "DMS", + "source_string": "41°36'49.7\"N, 2°39'15.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "41.613810, 2.654230", + "latitude": 41.61381, + "longitude": 2.65423 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 41°36'49.7\"N, 2°39'15.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 41.61381°", + "Step 4: Calculate longitude", + " Longitude: 2.65423°", + "FINAL ANSWER: 41.613810, 2.654230" + ] + }, + { + "task": "format_conversion", + "location_name": "Dorogomilovo", + "source_format": "DMS", + "source_string": "55°45'0.0\"N, 37°34'0.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "55.750000, 37.566670", + "latitude": 55.75, + "longitude": 37.56667 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 55°45'0.0\"N, 37°34'0.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 55.75°", + "Step 4: Calculate longitude", + " Longitude: 37.56667°", + "FINAL ANSWER: 55.750000, 37.566670" + ] + }, + { + "task": "format_conversion", + "location_name": "Muborak", + "source_format": "DMS", + "source_string": "39°15'19.0\"N, 65°9'10.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "39.255280, 65.152780", + "latitude": 39.25528, + "longitude": 65.15278 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 39°15'19.0\"N, 65°9'10.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 39.25528°", + "Step 4: Calculate longitude", + " Longitude: 65.15278°", + "FINAL ANSWER: 39.255280, 65.152780" + ] + }, + { + "task": "format_conversion", + "location_name": "Presidente Dutra", + "source_format": "DMS", + "source_string": "5°17'24.0\"S, 44°29'24.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-5.290000, -44.490000", + "latitude": -5.29, + "longitude": -44.49 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 5°17'24.0\"S, 44°29'24.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -5.29°", + "Step 4: Calculate longitude", + " Longitude: -44.49°", + "FINAL ANSWER: -5.290000, -44.490000" + ] + }, + { + "task": "format_conversion", + "location_name": "Ibirubá", + "source_format": "DMS", + "source_string": "28°37'39.0\"S, 53°5'23.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-28.627500, -53.089720", + "latitude": -28.6275, + "longitude": -53.08972 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 28°37'39.0\"S, 53°5'23.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -28.6275°", + "Step 4: Calculate longitude", + " Longitude: -53.08972°", + "FINAL ANSWER: -28.627500, -53.089720" + ] + }, + { + "task": "format_conversion", + "location_name": "Kelar", + "source_format": "DMS", + "source_string": "34°37'41.0\"N, 45°19'6.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "34.628050, 45.318520", + "latitude": 34.62805, + "longitude": 45.31852 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 34°37'41.0\"N, 45°19'6.7\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 34.62805°", + "Step 4: Calculate longitude", + " Longitude: 45.31852°", + "FINAL ANSWER: 34.628050, 45.318520" + ] + }, + { + "task": "format_conversion", + "location_name": "Saidpur", + "source_format": "decimal_degrees", + "source_string": "25.537490, 83.223780", + "target_format": "DMS", + "ground_truth": { + "target_string": "25°32'15.0\"N, 83°13'25.6\"E", + "latitude": 25.53749, + "longitude": 83.22378 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 25.537490, 83.223780", + " Latitude: 25.53749°", + " Longitude: 83.22378°", + "Step 2: Convert latitude to DMS", + " Degrees = 25", + " Minutes = int((25.537490 - 25) × 60) = 32", + " Seconds = ((25.537490 - 25) × 60 - 32) × 60 = 15.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 83", + " Minutes = 13", + " Seconds = 25.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 25°32'15.0\"N, 83°13'25.6\"E", + "FINAL ANSWER: 25°32'15.0\"N, 83°13'25.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Yanggu", + "source_format": "DMS", + "source_string": "36°6'38.0\"N, 115°46'31.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "36.110560, 115.775280", + "latitude": 36.11056, + "longitude": 115.77528 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 36°6'38.0\"N, 115°46'31.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 36.11056°", + "Step 4: Calculate longitude", + " Longitude: 115.77528°", + "FINAL ANSWER: 36.110560, 115.775280" + ] + }, + { + "task": "format_conversion", + "location_name": "Roseville", + "source_format": "DMS", + "source_string": "45°0'21.9\"N, 93°9'23.8\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "45.006080, -93.156610", + "latitude": 45.00608, + "longitude": -93.15661 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 45°0'21.9\"N, 93°9'23.8\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 45.00608°", + "Step 4: Calculate longitude", + " Longitude: -93.15661°", + "FINAL ANSWER: 45.006080, -93.156610" + ] + }, + { + "task": "format_conversion", + "location_name": "Bradenton", + "source_format": "DMS", + "source_string": "27°29'56.1\"N, 82°34'29.4\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "27.498930, -82.574820", + "latitude": 27.49893, + "longitude": -82.57482 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 27°29'56.1\"N, 82°34'29.4\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 27.49893°", + "Step 4: Calculate longitude", + " Longitude: -82.57482°", + "FINAL ANSWER: 27.498930, -82.574820" + ] + }, + { + "task": "format_conversion", + "location_name": "Pereiro", + "source_format": "DMS", + "source_string": "6°2'30.0\"S, 38°27'35.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-6.041670, -38.459720", + "latitude": -6.04167, + "longitude": -38.45972 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 6°2'30.0\"S, 38°27'35.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -6.04167°", + "Step 4: Calculate longitude", + " Longitude: -38.45972°", + "FINAL ANSWER: -6.041670, -38.459720" + ] + }, + { + "task": "format_conversion", + "location_name": "el Clot", + "source_format": "DMS", + "source_string": "41°24'35.5\"N, 2°11'25.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "41.409860, 2.190530", + "latitude": 41.40986, + "longitude": 2.19053 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 41°24'35.5\"N, 2°11'25.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 41.40986°", + "Step 4: Calculate longitude", + " Longitude: 2.19053°", + "FINAL ANSWER: 41.409860, 2.190530" + ] + }, + { + "task": "format_conversion", + "location_name": "Şanlıurfa", + "source_format": "DMS", + "source_string": "37°10'1.5\"N, 38°47'38.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "37.167080, 38.793920", + "latitude": 37.16708, + "longitude": 38.79392 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 37°10'1.5\"N, 38°47'38.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 37.16708°", + "Step 4: Calculate longitude", + " Longitude: 38.79392°", + "FINAL ANSWER: 37.167080, 38.793920" + ] + }, + { + "task": "format_conversion", + "location_name": "Coffs Harbour", + "source_format": "decimal_degrees", + "source_string": "-30.296260, 153.113510", + "target_format": "DMS", + "ground_truth": { + "target_string": "30°17'46.5\"S, 153°6'48.6\"E", + "latitude": -30.29626, + "longitude": 153.11351 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -30.296260, 153.113510", + " Latitude: -30.29626°", + " Longitude: 153.11351°", + "Step 2: Convert latitude to DMS", + " Degrees = 30", + " Minutes = int((30.296260 - 30) × 60) = 17", + " Seconds = ((30.296260 - 30) × 60 - 17) × 60 = 46.5", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 153", + " Minutes = 6", + " Seconds = 48.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 30°17'46.5\"S, 153°6'48.6\"E", + "FINAL ANSWER: 30°17'46.5\"S, 153°6'48.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Hinganghāt", + "source_format": "decimal_degrees", + "source_string": "20.548750, 78.839780", + "target_format": "DMS", + "ground_truth": { + "target_string": "20°32'55.5\"N, 78°50'23.2\"E", + "latitude": 20.54875, + "longitude": 78.83978 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 20.548750, 78.839780", + " Latitude: 20.54875°", + " Longitude: 78.83978°", + "Step 2: Convert latitude to DMS", + " Degrees = 20", + " Minutes = int((20.548750 - 20) × 60) = 32", + " Seconds = ((20.548750 - 20) × 60 - 32) × 60 = 55.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 78", + " Minutes = 50", + " Seconds = 23.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 20°32'55.5\"N, 78°50'23.2\"E", + "FINAL ANSWER: 20°32'55.5\"N, 78°50'23.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Nandurbar", + "source_format": "decimal_degrees", + "source_string": "21.366710, 74.240510", + "target_format": "DMS", + "ground_truth": { + "target_string": "21°22'0.2\"N, 74°14'25.8\"E", + "latitude": 21.36671, + "longitude": 74.24051 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 21.366710, 74.240510", + " Latitude: 21.36671°", + " Longitude: 74.24051°", + "Step 2: Convert latitude to DMS", + " Degrees = 21", + " Minutes = int((21.366710 - 21) × 60) = 22", + " Seconds = ((21.366710 - 21) × 60 - 22) × 60 = 0.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 74", + " Minutes = 14", + " Seconds = 25.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 21°22'0.2\"N, 74°14'25.8\"E", + "FINAL ANSWER: 21°22'0.2\"N, 74°14'25.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Westchester", + "source_format": "decimal_degrees", + "source_string": "25.754820, -80.327270", + "target_format": "DMS", + "ground_truth": { + "target_string": "25°45'17.4\"N, 80°19'38.2\"W", + "latitude": 25.75482, + "longitude": -80.32727 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 25.754820, -80.327270", + " Latitude: 25.75482°", + " Longitude: -80.32727°", + "Step 2: Convert latitude to DMS", + " Degrees = 25", + " Minutes = int((25.754820 - 25) × 60) = 45", + " Seconds = ((25.754820 - 25) × 60 - 45) × 60 = 17.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 80", + " Minutes = 19", + " Seconds = 38.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 25°45'17.4\"N, 80°19'38.2\"W", + "FINAL ANSWER: 25°45'17.4\"N, 80°19'38.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Linares", + "source_format": "DMS", + "source_string": "38°5'42.7\"N, 3°38'9.7\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "38.095190, -3.636020", + "latitude": 38.09519, + "longitude": -3.63602 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 38°5'42.7\"N, 3°38'9.7\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 38.09519°", + "Step 4: Calculate longitude", + " Longitude: -3.63602°", + "FINAL ANSWER: 38.095190, -3.636020" + ] + }, + { + "task": "format_conversion", + "location_name": "Dom Pedro", + "source_format": "decimal_degrees", + "source_string": "-5.038250, -44.437460", + "target_format": "DMS", + "ground_truth": { + "target_string": "5°2'17.7\"S, 44°26'14.9\"W", + "latitude": -5.03825, + "longitude": -44.43746 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -5.038250, -44.437460", + " Latitude: -5.03825°", + " Longitude: -44.43746°", + "Step 2: Convert latitude to DMS", + " Degrees = 5", + " Minutes = int((5.038250 - 5) × 60) = 2", + " Seconds = ((5.038250 - 5) × 60 - 2) × 60 = 17.7", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 44", + " Minutes = 26", + " Seconds = 14.9", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 5°2'17.7\"S, 44°26'14.9\"W", + "FINAL ANSWER: 5°2'17.7\"S, 44°26'14.9\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Montauban", + "source_format": "decimal_degrees", + "source_string": "44.017590, 1.354200", + "target_format": "DMS", + "ground_truth": { + "target_string": "44°1'3.3\"N, 1°21'15.1\"E", + "latitude": 44.01759, + "longitude": 1.3542 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 44.017590, 1.354200", + " Latitude: 44.01759°", + " Longitude: 1.3542°", + "Step 2: Convert latitude to DMS", + " Degrees = 44", + " Minutes = int((44.017590 - 44) × 60) = 1", + " Seconds = ((44.017590 - 44) × 60 - 1) × 60 = 3.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 1", + " Minutes = 21", + " Seconds = 15.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 44°1'3.3\"N, 1°21'15.1\"E", + "FINAL ANSWER: 44°1'3.3\"N, 1°21'15.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Schneverdingen", + "source_format": "DMS", + "source_string": "53°7'0.7\"N, 9°47'42.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "53.116850, 9.795240", + "latitude": 53.11685, + "longitude": 9.79524 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 53°7'0.7\"N, 9°47'42.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 53.11685°", + "Step 4: Calculate longitude", + " Longitude: 9.79524°", + "FINAL ANSWER: 53.116850, 9.795240" + ] + }, + { + "task": "format_conversion", + "location_name": "Wonopringgo", + "source_format": "DMS", + "source_string": "6°58'60.0\"S, 109°37'0.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-6.983330, 109.616670", + "latitude": -6.98333, + "longitude": 109.61667 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 6°58'60.0\"S, 109°37'0.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -6.98333°", + "Step 4: Calculate longitude", + " Longitude: 109.61667°", + "FINAL ANSWER: -6.983330, 109.616670" + ] + }, + { + "task": "format_conversion", + "location_name": "Basking Ridge", + "source_format": "decimal_degrees", + "source_string": "40.706210, -74.549320", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°42'22.4\"N, 74°32'57.6\"W", + "latitude": 40.70621, + "longitude": -74.54932 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.706210, -74.549320", + " Latitude: 40.70621°", + " Longitude: -74.54932°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.706210 - 40) × 60) = 42", + " Seconds = ((40.706210 - 40) × 60 - 42) × 60 = 22.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 74", + " Minutes = 32", + " Seconds = 57.6", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 40°42'22.4\"N, 74°32'57.6\"W", + "FINAL ANSWER: 40°42'22.4\"N, 74°32'57.6\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Munich", + "source_format": "decimal_degrees", + "source_string": "48.137430, 11.575490", + "target_format": "DMS", + "ground_truth": { + "target_string": "48°8'14.7\"N, 11°34'31.8\"E", + "latitude": 48.13743, + "longitude": 11.57549 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 48.137430, 11.575490", + " Latitude: 48.13743°", + " Longitude: 11.57549°", + "Step 2: Convert latitude to DMS", + " Degrees = 48", + " Minutes = int((48.137430 - 48) × 60) = 8", + " Seconds = ((48.137430 - 48) × 60 - 8) × 60 = 14.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 11", + " Minutes = 34", + " Seconds = 31.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 48°8'14.7\"N, 11°34'31.8\"E", + "FINAL ANSWER: 48°8'14.7\"N, 11°34'31.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Dhubri", + "source_format": "DMS", + "source_string": "26°1'6.8\"N, 89°59'8.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "26.018560, 89.985640", + "latitude": 26.01856, + "longitude": 89.98564 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 26°1'6.8\"N, 89°59'8.3\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 26.01856°", + "Step 4: Calculate longitude", + " Longitude: 89.98564°", + "FINAL ANSWER: 26.018560, 89.985640" + ] + }, + { + "task": "format_conversion", + "location_name": "Arona", + "source_format": "decimal_degrees", + "source_string": "28.099620, -16.681020", + "target_format": "DMS", + "ground_truth": { + "target_string": "28°5'58.6\"N, 16°40'51.7\"W", + "latitude": 28.09962, + "longitude": -16.68102 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 28.099620, -16.681020", + " Latitude: 28.09962°", + " Longitude: -16.68102°", + "Step 2: Convert latitude to DMS", + " Degrees = 28", + " Minutes = int((28.099620 - 28) × 60) = 5", + " Seconds = ((28.099620 - 28) × 60 - 5) × 60 = 58.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 16", + " Minutes = 40", + " Seconds = 51.7", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 28°5'58.6\"N, 16°40'51.7\"W", + "FINAL ANSWER: 28°5'58.6\"N, 16°40'51.7\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Mahayag", + "source_format": "DMS", + "source_string": "8°7'5.9\"N, 123°26'43.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "8.118300, 123.445500", + "latitude": 8.1183, + "longitude": 123.4455 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 8°7'5.9\"N, 123°26'43.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 8.1183°", + "Step 4: Calculate longitude", + " Longitude: 123.4455°", + "FINAL ANSWER: 8.118300, 123.445500" + ] + }, + { + "task": "format_conversion", + "location_name": "Bemetāra", + "source_format": "DMS", + "source_string": "21°42'56.0\"N, 81°32'3.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "21.715560, 81.534230", + "latitude": 21.71556, + "longitude": 81.53423 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 21°42'56.0\"N, 81°32'3.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 21.71556°", + "Step 4: Calculate longitude", + " Longitude: 81.53423°", + "FINAL ANSWER: 21.715560, 81.534230" + ] + }, + { + "task": "format_conversion", + "location_name": "Mianwali", + "source_format": "decimal_degrees", + "source_string": "32.577560, 71.528470", + "target_format": "DMS", + "ground_truth": { + "target_string": "32°34'39.2\"N, 71°31'42.5\"E", + "latitude": 32.57756, + "longitude": 71.52847 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 32.577560, 71.528470", + " Latitude: 32.57756°", + " Longitude: 71.52847°", + "Step 2: Convert latitude to DMS", + " Degrees = 32", + " Minutes = int((32.577560 - 32) × 60) = 34", + " Seconds = ((32.577560 - 32) × 60 - 34) × 60 = 39.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 71", + " Minutes = 31", + " Seconds = 42.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 32°34'39.2\"N, 71°31'42.5\"E", + "FINAL ANSWER: 32°34'39.2\"N, 71°31'42.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Presidente Figueiredo", + "source_format": "decimal_degrees", + "source_string": "-2.034440, -60.025000", + "target_format": "DMS", + "ground_truth": { + "target_string": "2°2'4.0\"S, 60°1'30.0\"W", + "latitude": -2.03444, + "longitude": -60.025 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -2.034440, -60.025000", + " Latitude: -2.03444°", + " Longitude: -60.025°", + "Step 2: Convert latitude to DMS", + " Degrees = 2", + " Minutes = int((2.034440 - 2) × 60) = 2", + " Seconds = ((2.034440 - 2) × 60 - 2) × 60 = 4.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 60", + " Minutes = 1", + " Seconds = 30.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 2°2'4.0\"S, 60°1'30.0\"W", + "FINAL ANSWER: 2°2'4.0\"S, 60°1'30.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Khandwa", + "source_format": "DMS", + "source_string": "21°49'27.4\"N, 76°21'3.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "21.824270, 76.350860", + "latitude": 21.82427, + "longitude": 76.35086 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 21°49'27.4\"N, 76°21'3.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 21.82427°", + "Step 4: Calculate longitude", + " Longitude: 76.35086°", + "FINAL ANSWER: 21.824270, 76.350860" + ] + }, + { + "task": "format_conversion", + "location_name": "Kushiro", + "source_format": "decimal_degrees", + "source_string": "42.975000, 144.374720", + "target_format": "DMS", + "ground_truth": { + "target_string": "42°58'30.0\"N, 144°22'29.0\"E", + "latitude": 42.975, + "longitude": 144.37472 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 42.975000, 144.374720", + " Latitude: 42.975°", + " Longitude: 144.37472°", + "Step 2: Convert latitude to DMS", + " Degrees = 42", + " Minutes = int((42.975000 - 42) × 60) = 58", + " Seconds = ((42.975000 - 42) × 60 - 58) × 60 = 30.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 144", + " Minutes = 22", + " Seconds = 29.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 42°58'30.0\"N, 144°22'29.0\"E", + "FINAL ANSWER: 42°58'30.0\"N, 144°22'29.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Legnago", + "source_format": "decimal_degrees", + "source_string": "45.193650, 11.302270", + "target_format": "DMS", + "ground_truth": { + "target_string": "45°11'37.1\"N, 11°18'8.2\"E", + "latitude": 45.19365, + "longitude": 11.30227 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 45.193650, 11.302270", + " Latitude: 45.19365°", + " Longitude: 11.30227°", + "Step 2: Convert latitude to DMS", + " Degrees = 45", + " Minutes = int((45.193650 - 45) × 60) = 11", + " Seconds = ((45.193650 - 45) × 60 - 11) × 60 = 37.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 11", + " Minutes = 18", + " Seconds = 8.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 45°11'37.1\"N, 11°18'8.2\"E", + "FINAL ANSWER: 45°11'37.1\"N, 11°18'8.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Apaseo el Alto", + "source_format": "DMS", + "source_string": "20°27'28.7\"N, 100°37'14.9\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "20.457980, -100.620810", + "latitude": 20.45798, + "longitude": -100.62081 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 20°27'28.7\"N, 100°37'14.9\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 20.45798°", + "Step 4: Calculate longitude", + " Longitude: -100.62081°", + "FINAL ANSWER: 20.457980, -100.620810" + ] + }, + { + "task": "format_conversion", + "location_name": "Forbesganj", + "source_format": "decimal_degrees", + "source_string": "26.302530, 87.265560", + "target_format": "DMS", + "ground_truth": { + "target_string": "26°18'9.1\"N, 87°15'56.0\"E", + "latitude": 26.30253, + "longitude": 87.26556 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 26.302530, 87.265560", + " Latitude: 26.30253°", + " Longitude: 87.26556°", + "Step 2: Convert latitude to DMS", + " Degrees = 26", + " Minutes = int((26.302530 - 26) × 60) = 18", + " Seconds = ((26.302530 - 26) × 60 - 18) × 60 = 9.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 87", + " Minutes = 15", + " Seconds = 56.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 26°18'9.1\"N, 87°15'56.0\"E", + "FINAL ANSWER: 26°18'9.1\"N, 87°15'56.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Narva", + "source_format": "decimal_degrees", + "source_string": "59.377220, 28.190280", + "target_format": "DMS", + "ground_truth": { + "target_string": "59°22'38.0\"N, 28°11'25.0\"E", + "latitude": 59.37722, + "longitude": 28.19028 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 59.377220, 28.190280", + " Latitude: 59.37722°", + " Longitude: 28.19028°", + "Step 2: Convert latitude to DMS", + " Degrees = 59", + " Minutes = int((59.377220 - 59) × 60) = 22", + " Seconds = ((59.377220 - 59) × 60 - 22) × 60 = 38.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 28", + " Minutes = 11", + " Seconds = 25.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 59°22'38.0\"N, 28°11'25.0\"E", + "FINAL ANSWER: 59°22'38.0\"N, 28°11'25.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Grays", + "source_format": "decimal_degrees", + "source_string": "51.475660, 0.325210", + "target_format": "DMS", + "ground_truth": { + "target_string": "51°28'32.4\"N, 0°19'30.8\"E", + "latitude": 51.47566, + "longitude": 0.32521 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 51.475660, 0.325210", + " Latitude: 51.47566°", + " Longitude: 0.32521°", + "Step 2: Convert latitude to DMS", + " Degrees = 51", + " Minutes = int((51.475660 - 51) × 60) = 28", + " Seconds = ((51.475660 - 51) × 60 - 28) × 60 = 32.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 0", + " Minutes = 19", + " Seconds = 30.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 51°28'32.4\"N, 0°19'30.8\"E", + "FINAL ANSWER: 51°28'32.4\"N, 0°19'30.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "La Unión", + "source_format": "DMS", + "source_string": "37°37'8.9\"N, 0°52'40.8\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "37.619150, -0.877990", + "latitude": 37.61915, + "longitude": -0.87799 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 37°37'8.9\"N, 0°52'40.8\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 37.61915°", + "Step 4: Calculate longitude", + " Longitude: -0.87799°", + "FINAL ANSWER: 37.619150, -0.877990" + ] + }, + { + "task": "format_conversion", + "location_name": "Clausthal-Zellerfeld", + "source_format": "DMS", + "source_string": "51°48'34.2\"N, 10°20'17.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "51.809490, 10.338210", + "latitude": 51.80949, + "longitude": 10.33821 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 51°48'34.2\"N, 10°20'17.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 51.80949°", + "Step 4: Calculate longitude", + " Longitude: 10.33821°", + "FINAL ANSWER: 51.809490, 10.338210" + ] + }, + { + "task": "format_conversion", + "location_name": "Dongchuan", + "source_format": "DMS", + "source_string": "37°22'4.7\"N, 101°50'8.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "37.367970, 101.835650", + "latitude": 37.36797, + "longitude": 101.83565 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 37°22'4.7\"N, 101°50'8.3\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 37.36797°", + "Step 4: Calculate longitude", + " Longitude: 101.83565°", + "FINAL ANSWER: 37.367970, 101.835650" + ] + }, + { + "task": "format_conversion", + "location_name": "Hoopstad", + "source_format": "decimal_degrees", + "source_string": "-27.832730, 25.908330", + "target_format": "DMS", + "ground_truth": { + "target_string": "27°49'57.8\"S, 25°54'30.0\"E", + "latitude": -27.83273, + "longitude": 25.90833 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -27.832730, 25.908330", + " Latitude: -27.83273°", + " Longitude: 25.90833°", + "Step 2: Convert latitude to DMS", + " Degrees = 27", + " Minutes = int((27.832730 - 27) × 60) = 49", + " Seconds = ((27.832730 - 27) × 60 - 49) × 60 = 57.8", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 25", + " Minutes = 54", + " Seconds = 30.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 27°49'57.8\"S, 25°54'30.0\"E", + "FINAL ANSWER: 27°49'57.8\"S, 25°54'30.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Granja", + "source_format": "DMS", + "source_string": "3°7'13.0\"S, 40°49'34.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-3.120280, -40.826110", + "latitude": -3.12028, + "longitude": -40.82611 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 3°7'13.0\"S, 40°49'34.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -3.12028°", + "Step 4: Calculate longitude", + " Longitude: -40.82611°", + "FINAL ANSWER: -3.120280, -40.826110" + ] + }, + { + "task": "format_conversion", + "location_name": "Nimāparha", + "source_format": "decimal_degrees", + "source_string": "20.057560, 86.004360", + "target_format": "DMS", + "ground_truth": { + "target_string": "20°3'27.2\"N, 86°0'15.7\"E", + "latitude": 20.05756, + "longitude": 86.00436 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 20.057560, 86.004360", + " Latitude: 20.05756°", + " Longitude: 86.00436°", + "Step 2: Convert latitude to DMS", + " Degrees = 20", + " Minutes = int((20.057560 - 20) × 60) = 3", + " Seconds = ((20.057560 - 20) × 60 - 3) × 60 = 27.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 86", + " Minutes = 0", + " Seconds = 15.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 20°3'27.2\"N, 86°0'15.7\"E", + "FINAL ANSWER: 20°3'27.2\"N, 86°0'15.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Cantanhede", + "source_format": "DD", + "source_string": "-3.633330, -44.376670", + "target_format": "DMS", + "ground_truth": { + "target_string": "3°37'60.0\"S, 44°22'36.0\"W", + "latitude": -3.63333, + "longitude": -44.37667 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: -3.633330, -44.376670", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 3°37'60.0\"S, 44°22'36.0\"W", + "FINAL ANSWER: 3°37'60.0\"S, 44°22'36.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Bremervörde", + "source_format": "DMS", + "source_string": "53°29'6.5\"N, 9°8'47.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "53.485130, 9.146440", + "latitude": 53.48513, + "longitude": 9.14644 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 53°29'6.5\"N, 9°8'47.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 53.48513°", + "Step 4: Calculate longitude", + " Longitude: 9.14644°", + "FINAL ANSWER: 53.485130, 9.146440" + ] + }, + { + "task": "format_conversion", + "location_name": "Donaghmede", + "source_format": "DMS", + "source_string": "53°23'54.4\"N, 6°9'42.4\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "53.398450, -6.161790", + "latitude": 53.39845, + "longitude": -6.16179 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 53°23'54.4\"N, 6°9'42.4\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 53.39845°", + "Step 4: Calculate longitude", + " Longitude: -6.16179°", + "FINAL ANSWER: 53.398450, -6.161790" + ] + }, + { + "task": "format_conversion", + "location_name": "Cherchell", + "source_format": "DMS", + "source_string": "36°36'18.0\"N, 2°11'27.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "36.605000, 2.190830", + "latitude": 36.605, + "longitude": 2.19083 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 36°36'18.0\"N, 2°11'27.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 36.605°", + "Step 4: Calculate longitude", + " Longitude: 2.19083°", + "FINAL ANSWER: 36.605000, 2.190830" + ] + }, + { + "task": "format_conversion", + "location_name": "Beauvais", + "source_format": "DMS", + "source_string": "49°25'60.0\"N, 2°4'60.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "49.433330, 2.083330", + "latitude": 49.43333, + "longitude": 2.08333 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 49°25'60.0\"N, 2°4'60.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 49.43333°", + "Step 4: Calculate longitude", + " Longitude: 2.08333°", + "FINAL ANSWER: 49.433330, 2.083330" + ] + }, + { + "task": "format_conversion", + "location_name": "Vrindāvan", + "source_format": "DMS", + "source_string": "27°34'51.8\"N, 77°41'47.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "27.581050, 77.696620", + "latitude": 27.58105, + "longitude": 77.69662 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 27°34'51.8\"N, 77°41'47.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 27.58105°", + "Step 4: Calculate longitude", + " Longitude: 77.69662°", + "FINAL ANSWER: 27.581050, 77.696620" + ] + }, + { + "task": "format_conversion", + "location_name": "Yuci", + "source_format": "DMS", + "source_string": "37°40'49.0\"N, 112°43'55.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "37.680280, 112.731940", + "latitude": 37.68028, + "longitude": 112.73194 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 37°40'49.0\"N, 112°43'55.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 37.68028°", + "Step 4: Calculate longitude", + " Longitude: 112.73194°", + "FINAL ANSWER: 37.680280, 112.731940" + ] + }, + { + "task": "format_conversion", + "location_name": "Waltham", + "source_format": "decimal_degrees", + "source_string": "42.376490, -71.235610", + "target_format": "DMS", + "ground_truth": { + "target_string": "42°22'35.4\"N, 71°14'8.2\"W", + "latitude": 42.37649, + "longitude": -71.23561 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 42.376490, -71.235610", + " Latitude: 42.37649°", + " Longitude: -71.23561°", + "Step 2: Convert latitude to DMS", + " Degrees = 42", + " Minutes = int((42.376490 - 42) × 60) = 22", + " Seconds = ((42.376490 - 42) × 60 - 22) × 60 = 35.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 71", + " Minutes = 14", + " Seconds = 8.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 42°22'35.4\"N, 71°14'8.2\"W", + "FINAL ANSWER: 42°22'35.4\"N, 71°14'8.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Lambari d'Oeste", + "source_format": "DMS", + "source_string": "15°19'24.0\"S, 58°0'13.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-15.323330, -58.003610", + "latitude": -15.32333, + "longitude": -58.00361 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 15°19'24.0\"S, 58°0'13.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -15.32333°", + "Step 4: Calculate longitude", + " Longitude: -58.00361°", + "FINAL ANSWER: -15.323330, -58.003610" + ] + }, + { + "task": "format_conversion", + "location_name": "Pāmūru", + "source_format": "DMS", + "source_string": "15°5'46.8\"N, 79°24'42.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "15.096330, 79.411740", + "latitude": 15.09633, + "longitude": 79.41174 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 15°5'46.8\"N, 79°24'42.3\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 15.09633°", + "Step 4: Calculate longitude", + " Longitude: 79.41174°", + "FINAL ANSWER: 15.096330, 79.411740" + ] + }, + { + "task": "format_conversion", + "location_name": "Bakarwāla", + "source_format": "DMS", + "source_string": "28°40'4.1\"N, 77°1'12.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "28.667800, 77.020110", + "latitude": 28.6678, + "longitude": 77.02011 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 28°40'4.1\"N, 77°1'12.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 28.6678°", + "Step 4: Calculate longitude", + " Longitude: 77.02011°", + "FINAL ANSWER: 28.667800, 77.020110" + ] + }, + { + "task": "format_conversion", + "location_name": "Villasis", + "source_format": "DMS", + "source_string": "15°54'6.0\"N, 120°35'18.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "15.901670, 120.588330", + "latitude": 15.90167, + "longitude": 120.58833 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 15°54'6.0\"N, 120°35'18.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 15.90167°", + "Step 4: Calculate longitude", + " Longitude: 120.58833°", + "FINAL ANSWER: 15.901670, 120.588330" + ] + }, + { + "task": "format_conversion", + "location_name": "Blackwall", + "source_format": "DMS", + "source_string": "51°30'35.0\"N, 0°0'5.8\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "51.509710, -0.001600", + "latitude": 51.50971, + "longitude": -0.0016 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 51°30'35.0\"N, 0°0'5.8\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 51.50971°", + "Step 4: Calculate longitude", + " Longitude: -0.0016°", + "FINAL ANSWER: 51.509710, -0.001600" + ] + }, + { + "task": "format_conversion", + "location_name": "Stadskanaal", + "source_format": "DMS", + "source_string": "52°59'22.1\"N, 6°57'1.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "52.989470, 6.950400", + "latitude": 52.98947, + "longitude": 6.9504 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 52°59'22.1\"N, 6°57'1.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 52.98947°", + "Step 4: Calculate longitude", + " Longitude: 6.9504°", + "FINAL ANSWER: 52.989470, 6.950400" + ] + }, + { + "task": "format_conversion", + "location_name": "Viroflay", + "source_format": "DMS", + "source_string": "48°48'2.8\"N, 2°9'42.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "48.800780, 2.161810", + "latitude": 48.80078, + "longitude": 2.16181 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 48°48'2.8\"N, 2°9'42.5\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 48.80078°", + "Step 4: Calculate longitude", + " Longitude: 2.16181°", + "FINAL ANSWER: 48.800780, 2.161810" + ] + }, + { + "task": "format_conversion", + "location_name": "Aracoiaba", + "source_format": "DMS", + "source_string": "4°22'16.0\"S, 38°48'51.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-4.371110, -38.814170", + "latitude": -4.37111, + "longitude": -38.81417 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 4°22'16.0\"S, 38°48'51.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -4.37111°", + "Step 4: Calculate longitude", + " Longitude: -38.81417°", + "FINAL ANSWER: -4.371110, -38.814170" + ] + }, + { + "task": "format_conversion", + "location_name": "Hatti", + "source_format": "decimal_degrees", + "source_string": "16.198360, 76.660370", + "target_format": "DMS", + "ground_truth": { + "target_string": "16°11'54.1\"N, 76°39'37.3\"E", + "latitude": 16.19836, + "longitude": 76.66037 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 16.198360, 76.660370", + " Latitude: 16.19836°", + " Longitude: 76.66037°", + "Step 2: Convert latitude to DMS", + " Degrees = 16", + " Minutes = int((16.198360 - 16) × 60) = 11", + " Seconds = ((16.198360 - 16) × 60 - 11) × 60 = 54.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 76", + " Minutes = 39", + " Seconds = 37.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 16°11'54.1\"N, 76°39'37.3\"E", + "FINAL ANSWER: 16°11'54.1\"N, 76°39'37.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kintampo", + "source_format": "DMS", + "source_string": "8°3'22.6\"N, 1°43'50.1\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "8.056270, -1.730580", + "latitude": 8.05627, + "longitude": -1.73058 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 8°3'22.6\"N, 1°43'50.1\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 8.05627°", + "Step 4: Calculate longitude", + " Longitude: -1.73058°", + "FINAL ANSWER: 8.056270, -1.730580" + ] + }, + { + "task": "format_conversion", + "location_name": "Sabinas", + "source_format": "DMS", + "source_string": "27°51'21.3\"N, 101°7'2.6\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "27.855910, -101.117380", + "latitude": 27.85591, + "longitude": -101.11738 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 27°51'21.3\"N, 101°7'2.6\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 27.85591°", + "Step 4: Calculate longitude", + " Longitude: -101.11738°", + "FINAL ANSWER: 27.855910, -101.117380" + ] + }, + { + "task": "format_conversion", + "location_name": "Santa Bárbara d'Oeste", + "source_format": "decimal_degrees", + "source_string": "-22.753610, -47.413610", + "target_format": "DMS", + "ground_truth": { + "target_string": "22°45'13.0\"S, 47°24'49.0\"W", + "latitude": -22.75361, + "longitude": -47.41361 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -22.753610, -47.413610", + " Latitude: -22.75361°", + " Longitude: -47.41361°", + "Step 2: Convert latitude to DMS", + " Degrees = 22", + " Minutes = int((22.753610 - 22) × 60) = 45", + " Seconds = ((22.753610 - 22) × 60 - 45) × 60 = 13.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 47", + " Minutes = 24", + " Seconds = 49.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 22°45'13.0\"S, 47°24'49.0\"W", + "FINAL ANSWER: 22°45'13.0\"S, 47°24'49.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Kāman", + "source_format": "DMS", + "source_string": "27°39'28.5\"N, 77°16'8.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "27.657910, 77.269080", + "latitude": 27.65791, + "longitude": 77.26908 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 27°39'28.5\"N, 77°16'8.7\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 27.65791°", + "Step 4: Calculate longitude", + " Longitude: 77.26908°", + "FINAL ANSWER: 27.657910, 77.269080" + ] + }, + { + "task": "format_conversion", + "location_name": "Hala", + "source_format": "decimal_degrees", + "source_string": "25.814590, 68.421980", + "target_format": "DMS", + "ground_truth": { + "target_string": "25°48'52.5\"N, 68°25'19.1\"E", + "latitude": 25.81459, + "longitude": 68.42198 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 25.814590, 68.421980", + " Latitude: 25.81459°", + " Longitude: 68.42198°", + "Step 2: Convert latitude to DMS", + " Degrees = 25", + " Minutes = int((25.814590 - 25) × 60) = 48", + " Seconds = ((25.814590 - 25) × 60 - 48) × 60 = 52.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 68", + " Minutes = 25", + " Seconds = 19.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 25°48'52.5\"N, 68°25'19.1\"E", + "FINAL ANSWER: 25°48'52.5\"N, 68°25'19.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Luoyang", + "source_format": "DMS", + "source_string": "23°9'44.8\"N, 114°16'24.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "23.162440, 114.273420", + "latitude": 23.16244, + "longitude": 114.27342 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 23°9'44.8\"N, 114°16'24.3\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 23.16244°", + "Step 4: Calculate longitude", + " Longitude: 114.27342°", + "FINAL ANSWER: 23.162440, 114.273420" + ] + }, + { + "task": "format_conversion", + "location_name": "Himimachi", + "source_format": "decimal_degrees", + "source_string": "36.856090, 136.988500", + "target_format": "DMS", + "ground_truth": { + "target_string": "36°51'21.9\"N, 136°59'18.6\"E", + "latitude": 36.85609, + "longitude": 136.9885 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 36.856090, 136.988500", + " Latitude: 36.85609°", + " Longitude: 136.9885°", + "Step 2: Convert latitude to DMS", + " Degrees = 36", + " Minutes = int((36.856090 - 36) × 60) = 51", + " Seconds = ((36.856090 - 36) × 60 - 51) × 60 = 21.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 136", + " Minutes = 59", + " Seconds = 18.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 36°51'21.9\"N, 136°59'18.6\"E", + "FINAL ANSWER: 36°51'21.9\"N, 136°59'18.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Wath upon Dearne", + "source_format": "DMS", + "source_string": "53°30'10.5\"N, 1°20'44.9\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "53.502910, -1.345800", + "latitude": 53.50291, + "longitude": -1.3458 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 53°30'10.5\"N, 1°20'44.9\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 53.50291°", + "Step 4: Calculate longitude", + " Longitude: -1.3458°", + "FINAL ANSWER: 53.502910, -1.345800" + ] + }, + { + "task": "format_conversion", + "location_name": "Ciudad General Escobedo", + "source_format": "decimal_degrees", + "source_string": "25.796980, -100.317910", + "target_format": "DMS", + "ground_truth": { + "target_string": "25°47'49.1\"N, 100°19'4.5\"W", + "latitude": 25.79698, + "longitude": -100.31791 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 25.796980, -100.317910", + " Latitude: 25.79698°", + " Longitude: -100.31791°", + "Step 2: Convert latitude to DMS", + " Degrees = 25", + " Minutes = int((25.796980 - 25) × 60) = 47", + " Seconds = ((25.796980 - 25) × 60 - 47) × 60 = 49.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 100", + " Minutes = 19", + " Seconds = 4.5", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 25°47'49.1\"N, 100°19'4.5\"W", + "FINAL ANSWER: 25°47'49.1\"N, 100°19'4.5\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Manjhanpur", + "source_format": "decimal_degrees", + "source_string": "25.530460, 81.375660", + "target_format": "DMS", + "ground_truth": { + "target_string": "25°31'49.7\"N, 81°22'32.4\"E", + "latitude": 25.53046, + "longitude": 81.37566 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 25.530460, 81.375660", + " Latitude: 25.53046°", + " Longitude: 81.37566°", + "Step 2: Convert latitude to DMS", + " Degrees = 25", + " Minutes = int((25.530460 - 25) × 60) = 31", + " Seconds = ((25.530460 - 25) × 60 - 31) × 60 = 49.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 81", + " Minutes = 22", + " Seconds = 32.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 25°31'49.7\"N, 81°22'32.4\"E", + "FINAL ANSWER: 25°31'49.7\"N, 81°22'32.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Governador Nunes Freire", + "source_format": "decimal_degrees", + "source_string": "-2.125830, -45.885280", + "target_format": "DMS", + "ground_truth": { + "target_string": "2°7'33.0\"S, 45°53'7.0\"W", + "latitude": -2.12583, + "longitude": -45.88528 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -2.125830, -45.885280", + " Latitude: -2.12583°", + " Longitude: -45.88528°", + "Step 2: Convert latitude to DMS", + " Degrees = 2", + " Minutes = int((2.125830 - 2) × 60) = 7", + " Seconds = ((2.125830 - 2) × 60 - 7) × 60 = 33.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 45", + " Minutes = 53", + " Seconds = 7.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 2°7'33.0\"S, 45°53'7.0\"W", + "FINAL ANSWER: 2°7'33.0\"S, 45°53'7.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Belen", + "source_format": "DMS", + "source_string": "36°29'19.2\"N, 36°11'41.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "36.488660, 36.194890", + "latitude": 36.48866, + "longitude": 36.19489 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 36°29'19.2\"N, 36°11'41.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 36.48866°", + "Step 4: Calculate longitude", + " Longitude: 36.19489°", + "FINAL ANSWER: 36.488660, 36.194890" + ] + }, + { + "task": "format_conversion", + "location_name": "San Benito", + "source_format": "decimal_degrees", + "source_string": "16.916750, -89.918980", + "target_format": "DMS", + "ground_truth": { + "target_string": "16°55'0.3\"N, 89°55'8.3\"W", + "latitude": 16.91675, + "longitude": -89.91898 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 16.916750, -89.918980", + " Latitude: 16.91675°", + " Longitude: -89.91898°", + "Step 2: Convert latitude to DMS", + " Degrees = 16", + " Minutes = int((16.916750 - 16) × 60) = 55", + " Seconds = ((16.916750 - 16) × 60 - 55) × 60 = 0.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 89", + " Minutes = 55", + " Seconds = 8.3", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 16°55'0.3\"N, 89°55'8.3\"W", + "FINAL ANSWER: 16°55'0.3\"N, 89°55'8.3\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Karlsruhe", + "source_format": "decimal_degrees", + "source_string": "49.009370, 8.404440", + "target_format": "DMS", + "ground_truth": { + "target_string": "49°0'33.7\"N, 8°24'16.0\"E", + "latitude": 49.00937, + "longitude": 8.40444 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 49.009370, 8.404440", + " Latitude: 49.00937°", + " Longitude: 8.40444°", + "Step 2: Convert latitude to DMS", + " Degrees = 49", + " Minutes = int((49.009370 - 49) × 60) = 0", + " Seconds = ((49.009370 - 49) × 60 - 0) × 60 = 33.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 8", + " Minutes = 24", + " Seconds = 16.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 49°0'33.7\"N, 8°24'16.0\"E", + "FINAL ANSWER: 49°0'33.7\"N, 8°24'16.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Tebela", + "source_format": "decimal_degrees", + "source_string": "6.706080, 37.769660", + "target_format": "DMS", + "ground_truth": { + "target_string": "6°42'21.9\"N, 37°46'10.8\"E", + "latitude": 6.70608, + "longitude": 37.76966 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 6.706080, 37.769660", + " Latitude: 6.70608°", + " Longitude: 37.76966°", + "Step 2: Convert latitude to DMS", + " Degrees = 6", + " Minutes = int((6.706080 - 6) × 60) = 42", + " Seconds = ((6.706080 - 6) × 60 - 42) × 60 = 21.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 37", + " Minutes = 46", + " Seconds = 10.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 6°42'21.9\"N, 37°46'10.8\"E", + "FINAL ANSWER: 6°42'21.9\"N, 37°46'10.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Suhe", + "source_format": "DMS", + "source_string": "34°3'45.0\"N, 105°13'19.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "34.062500, 105.222100", + "latitude": 34.0625, + "longitude": 105.2221 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 34°3'45.0\"N, 105°13'19.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 34.0625°", + "Step 4: Calculate longitude", + " Longitude: 105.2221°", + "FINAL ANSWER: 34.062500, 105.222100" + ] + }, + { + "task": "format_conversion", + "location_name": "Bellampalli", + "source_format": "DMS", + "source_string": "19°3'20.8\"N, 79°29'34.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "19.055770, 79.493000", + "latitude": 19.05577, + "longitude": 79.493 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 19°3'20.8\"N, 79°29'34.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 19.05577°", + "Step 4: Calculate longitude", + " Longitude: 79.493°", + "FINAL ANSWER: 19.055770, 79.493000" + ] + }, + { + "task": "format_conversion", + "location_name": "Bnei Brak", + "source_format": "DMS", + "source_string": "32°4'50.7\"N, 34°50'1.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "32.080740, 34.833800", + "latitude": 32.08074, + "longitude": 34.8338 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 32°4'50.7\"N, 34°50'1.7\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 32.08074°", + "Step 4: Calculate longitude", + " Longitude: 34.8338°", + "FINAL ANSWER: 32.080740, 34.833800" + ] + }, + { + "task": "format_conversion", + "location_name": "Bardsīr", + "source_format": "decimal_degrees", + "source_string": "29.922660, 56.574330", + "target_format": "DMS", + "ground_truth": { + "target_string": "29°55'21.6\"N, 56°34'27.6\"E", + "latitude": 29.92266, + "longitude": 56.57433 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 29.922660, 56.574330", + " Latitude: 29.92266°", + " Longitude: 56.57433°", + "Step 2: Convert latitude to DMS", + " Degrees = 29", + " Minutes = int((29.922660 - 29) × 60) = 55", + " Seconds = ((29.922660 - 29) × 60 - 55) × 60 = 21.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 56", + " Minutes = 34", + " Seconds = 27.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 29°55'21.6\"N, 56°34'27.6\"E", + "FINAL ANSWER: 29°55'21.6\"N, 56°34'27.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Yūsuf aṣ-Ṣiddīq", + "source_format": "DMS", + "source_string": "29°23'6.0\"N, 30°33'25.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "29.385000, 30.557000", + "latitude": 29.385, + "longitude": 30.557 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 29°23'6.0\"N, 30°33'25.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 29.385°", + "Step 4: Calculate longitude", + " Longitude: 30.557°", + "FINAL ANSWER: 29.385000, 30.557000" + ] + }, + { + "task": "format_conversion", + "location_name": "Ternate", + "source_format": "decimal_degrees", + "source_string": "14.289700, 120.716800", + "target_format": "DMS", + "ground_truth": { + "target_string": "14°17'22.9\"N, 120°43'0.5\"E", + "latitude": 14.2897, + "longitude": 120.7168 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 14.289700, 120.716800", + " Latitude: 14.2897°", + " Longitude: 120.7168°", + "Step 2: Convert latitude to DMS", + " Degrees = 14", + " Minutes = int((14.289700 - 14) × 60) = 17", + " Seconds = ((14.289700 - 14) × 60 - 17) × 60 = 22.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 120", + " Minutes = 43", + " Seconds = 0.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 14°17'22.9\"N, 120°43'0.5\"E", + "FINAL ANSWER: 14°17'22.9\"N, 120°43'0.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Banqiao", + "source_format": "DMS", + "source_string": "29°30'46.9\"N, 105°57'12.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "29.513020, 105.953410", + "latitude": 29.51302, + "longitude": 105.95341 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 29°30'46.9\"N, 105°57'12.3\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 29.51302°", + "Step 4: Calculate longitude", + " Longitude: 105.95341°", + "FINAL ANSWER: 29.513020, 105.953410" + ] + }, + { + "task": "format_conversion", + "location_name": "Astana", + "source_format": "DMS", + "source_string": "51°10'48.4\"N, 71°26'45.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "51.180100, 71.445980", + "latitude": 51.1801, + "longitude": 71.44598 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 51°10'48.4\"N, 71°26'45.5\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 51.1801°", + "Step 4: Calculate longitude", + " Longitude: 71.44598°", + "FINAL ANSWER: 51.180100, 71.445980" + ] + }, + { + "task": "format_conversion", + "location_name": "Kālimpong", + "source_format": "DMS", + "source_string": "27°4'14.1\"N, 88°28'31.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "27.070590, 88.475290", + "latitude": 27.07059, + "longitude": 88.47529 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 27°4'14.1\"N, 88°28'31.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 27.07059°", + "Step 4: Calculate longitude", + " Longitude: 88.47529°", + "FINAL ANSWER: 27.070590, 88.475290" + ] + }, + { + "task": "format_conversion", + "location_name": "Rieti", + "source_format": "decimal_degrees", + "source_string": "42.404760, 12.857350", + "target_format": "DMS", + "ground_truth": { + "target_string": "42°24'17.1\"N, 12°51'26.5\"E", + "latitude": 42.40476, + "longitude": 12.85735 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 42.404760, 12.857350", + " Latitude: 42.40476°", + " Longitude: 12.85735°", + "Step 2: Convert latitude to DMS", + " Degrees = 42", + " Minutes = int((42.404760 - 42) × 60) = 24", + " Seconds = ((42.404760 - 42) × 60 - 24) × 60 = 17.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 12", + " Minutes = 51", + " Seconds = 26.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 42°24'17.1\"N, 12°51'26.5\"E", + "FINAL ANSWER: 42°24'17.1\"N, 12°51'26.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Los Reyes de Salgado", + "source_format": "DMS", + "source_string": "19°35'25.5\"N, 102°28'20.7\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "19.590420, -102.472420", + "latitude": 19.59042, + "longitude": -102.47242 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 19°35'25.5\"N, 102°28'20.7\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 19.59042°", + "Step 4: Calculate longitude", + " Longitude: -102.47242°", + "FINAL ANSWER: 19.590420, -102.472420" + ] + }, + { + "task": "format_conversion", + "location_name": "Cosmópolis", + "source_format": "DMS", + "source_string": "22°38'45.0\"S, 47°11'46.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-22.645830, -47.196110", + "latitude": -22.64583, + "longitude": -47.19611 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 22°38'45.0\"S, 47°11'46.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -22.64583°", + "Step 4: Calculate longitude", + " Longitude: -47.19611°", + "FINAL ANSWER: -22.645830, -47.196110" + ] + }, + { + "task": "format_conversion", + "location_name": "Teluk Nibung", + "source_format": "DMS", + "source_string": "3°0'3.6\"N, 99°48'59.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "3.001000, 99.816400", + "latitude": 3.001, + "longitude": 99.8164 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 3°0'3.6\"N, 99°48'59.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 3.001°", + "Step 4: Calculate longitude", + " Longitude: 99.8164°", + "FINAL ANSWER: 3.001000, 99.816400" + ] + }, + { + "task": "format_conversion", + "location_name": "Hale", + "source_format": "decimal_degrees", + "source_string": "53.378310, -2.332710", + "target_format": "DMS", + "ground_truth": { + "target_string": "53°22'41.9\"N, 2°19'57.8\"W", + "latitude": 53.37831, + "longitude": -2.33271 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 53.378310, -2.332710", + " Latitude: 53.37831°", + " Longitude: -2.33271°", + "Step 2: Convert latitude to DMS", + " Degrees = 53", + " Minutes = int((53.378310 - 53) × 60) = 22", + " Seconds = ((53.378310 - 53) × 60 - 22) × 60 = 41.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 2", + " Minutes = 19", + " Seconds = 57.8", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 53°22'41.9\"N, 2°19'57.8\"W", + "FINAL ANSWER: 53°22'41.9\"N, 2°19'57.8\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Kuşadası", + "source_format": "decimal_degrees", + "source_string": "37.860140, 27.257130", + "target_format": "DMS", + "ground_truth": { + "target_string": "37°51'36.5\"N, 27°15'25.7\"E", + "latitude": 37.86014, + "longitude": 27.25713 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 37.860140, 27.257130", + " Latitude: 37.86014°", + " Longitude: 27.25713°", + "Step 2: Convert latitude to DMS", + " Degrees = 37", + " Minutes = int((37.860140 - 37) × 60) = 51", + " Seconds = ((37.860140 - 37) × 60 - 51) × 60 = 36.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 27", + " Minutes = 15", + " Seconds = 25.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 37°51'36.5\"N, 27°15'25.7\"E", + "FINAL ANSWER: 37°51'36.5\"N, 27°15'25.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Bramsche", + "source_format": "decimal_degrees", + "source_string": "52.408810, 7.972880", + "target_format": "DMS", + "ground_truth": { + "target_string": "52°24'31.7\"N, 7°58'22.4\"E", + "latitude": 52.40881, + "longitude": 7.97288 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 52.408810, 7.972880", + " Latitude: 52.40881°", + " Longitude: 7.97288°", + "Step 2: Convert latitude to DMS", + " Degrees = 52", + " Minutes = int((52.408810 - 52) × 60) = 24", + " Seconds = ((52.408810 - 52) × 60 - 24) × 60 = 31.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 7", + " Minutes = 58", + " Seconds = 22.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 52°24'31.7\"N, 7°58'22.4\"E", + "FINAL ANSWER: 52°24'31.7\"N, 7°58'22.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Hoogeveen", + "source_format": "DMS", + "source_string": "52°43'21.0\"N, 6°28'35.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "52.722500, 6.476390", + "latitude": 52.7225, + "longitude": 6.47639 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 52°43'21.0\"N, 6°28'35.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 52.7225°", + "Step 4: Calculate longitude", + " Longitude: 6.47639°", + "FINAL ANSWER: 52.722500, 6.476390" + ] + }, + { + "task": "format_conversion", + "location_name": "São Gonçalo dos Campos", + "source_format": "decimal_degrees", + "source_string": "-12.433940, -38.950570", + "target_format": "DMS", + "ground_truth": { + "target_string": "12°26'2.2\"S, 38°57'2.1\"W", + "latitude": -12.43394, + "longitude": -38.95057 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -12.433940, -38.950570", + " Latitude: -12.43394°", + " Longitude: -38.95057°", + "Step 2: Convert latitude to DMS", + " Degrees = 12", + " Minutes = int((12.433940 - 12) × 60) = 26", + " Seconds = ((12.433940 - 12) × 60 - 26) × 60 = 2.2", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 38", + " Minutes = 57", + " Seconds = 2.1", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 12°26'2.2\"S, 38°57'2.1\"W", + "FINAL ANSWER: 12°26'2.2\"S, 38°57'2.1\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Botad", + "source_format": "DMS", + "source_string": "22°10'9.0\"N, 71°40'0.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "22.169170, 71.666710", + "latitude": 22.16917, + "longitude": 71.66671 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 22°10'9.0\"N, 71°40'0.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 22.16917°", + "Step 4: Calculate longitude", + " Longitude: 71.66671°", + "FINAL ANSWER: 22.169170, 71.666710" + ] + }, + { + "task": "format_conversion", + "location_name": "Murrupula", + "source_format": "decimal_degrees", + "source_string": "-15.456940, 38.677220", + "target_format": "DMS", + "ground_truth": { + "target_string": "15°27'25.0\"S, 38°40'38.0\"E", + "latitude": -15.45694, + "longitude": 38.67722 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -15.456940, 38.677220", + " Latitude: -15.45694°", + " Longitude: 38.67722°", + "Step 2: Convert latitude to DMS", + " Degrees = 15", + " Minutes = int((15.456940 - 15) × 60) = 27", + " Seconds = ((15.456940 - 15) × 60 - 27) × 60 = 25.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 38", + " Minutes = 40", + " Seconds = 38.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 15°27'25.0\"S, 38°40'38.0\"E", + "FINAL ANSWER: 15°27'25.0\"S, 38°40'38.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Basoko", + "source_format": "decimal_degrees", + "source_string": "1.239090, 23.615980", + "target_format": "DMS", + "ground_truth": { + "target_string": "1°14'20.7\"N, 23°36'57.5\"E", + "latitude": 1.23909, + "longitude": 23.61598 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 1.239090, 23.615980", + " Latitude: 1.23909°", + " Longitude: 23.61598°", + "Step 2: Convert latitude to DMS", + " Degrees = 1", + " Minutes = int((1.239090 - 1) × 60) = 14", + " Seconds = ((1.239090 - 1) × 60 - 14) × 60 = 20.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 23", + " Minutes = 36", + " Seconds = 57.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 1°14'20.7\"N, 23°36'57.5\"E", + "FINAL ANSWER: 1°14'20.7\"N, 23°36'57.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Bagaha", + "source_format": "decimal_degrees", + "source_string": "27.099180, 84.090030", + "target_format": "DMS", + "ground_truth": { + "target_string": "27°5'57.0\"N, 84°5'24.1\"E", + "latitude": 27.09918, + "longitude": 84.09003 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 27.099180, 84.090030", + " Latitude: 27.09918°", + " Longitude: 84.09003°", + "Step 2: Convert latitude to DMS", + " Degrees = 27", + " Minutes = int((27.099180 - 27) × 60) = 5", + " Seconds = ((27.099180 - 27) × 60 - 5) × 60 = 57.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 84", + " Minutes = 5", + " Seconds = 24.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 27°5'57.0\"N, 84°5'24.1\"E", + "FINAL ANSWER: 27°5'57.0\"N, 84°5'24.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Cantá", + "source_format": "DMS", + "source_string": "2°36'37.0\"N, 60°35'51.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "2.610280, -60.597500", + "latitude": 2.61028, + "longitude": -60.5975 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 2°36'37.0\"N, 60°35'51.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 2.61028°", + "Step 4: Calculate longitude", + " Longitude: -60.5975°", + "FINAL ANSWER: 2.610280, -60.597500" + ] + }, + { + "task": "format_conversion", + "location_name": "Bagar", + "source_format": "DMS", + "source_string": "28°11'16.2\"N, 75°30'0.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "28.187840, 75.500120", + "latitude": 28.18784, + "longitude": 75.50012 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 28°11'16.2\"N, 75°30'0.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 28.18784°", + "Step 4: Calculate longitude", + " Longitude: 75.50012°", + "FINAL ANSWER: 28.187840, 75.500120" + ] + }, + { + "task": "format_conversion", + "location_name": "Judeida Makr", + "source_format": "decimal_degrees", + "source_string": "32.928200, 35.157050", + "target_format": "DMS", + "ground_truth": { + "target_string": "32°55'41.5\"N, 35°9'25.4\"E", + "latitude": 32.9282, + "longitude": 35.15705 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 32.928200, 35.157050", + " Latitude: 32.9282°", + " Longitude: 35.15705°", + "Step 2: Convert latitude to DMS", + " Degrees = 32", + " Minutes = int((32.928200 - 32) × 60) = 55", + " Seconds = ((32.928200 - 32) × 60 - 55) × 60 = 41.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 35", + " Minutes = 9", + " Seconds = 25.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 32°55'41.5\"N, 35°9'25.4\"E", + "FINAL ANSWER: 32°55'41.5\"N, 35°9'25.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Chokkanāthapuram", + "source_format": "DMS", + "source_string": "9°59'31.5\"N, 77°21'23.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "9.992070, 77.356570", + "latitude": 9.99207, + "longitude": 77.35657 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 9°59'31.5\"N, 77°21'23.7\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 9.99207°", + "Step 4: Calculate longitude", + " Longitude: 77.35657°", + "FINAL ANSWER: 9.992070, 77.356570" + ] + }, + { + "task": "format_conversion", + "location_name": "Vĩnh Long", + "source_format": "DMS", + "source_string": "10°15'13.3\"N, 105°58'19.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "10.253690, 105.972200", + "latitude": 10.25369, + "longitude": 105.9722 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 10°15'13.3\"N, 105°58'19.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 10.25369°", + "Step 4: Calculate longitude", + " Longitude: 105.9722°", + "FINAL ANSWER: 10.253690, 105.972200" + ] + }, + { + "task": "format_conversion", + "location_name": "Acqui Terme", + "source_format": "DMS", + "source_string": "44°40'31.9\"N, 8°28'9.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "44.675520, 8.469340", + "latitude": 44.67552, + "longitude": 8.46934 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 44°40'31.9\"N, 8°28'9.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 44.67552°", + "Step 4: Calculate longitude", + " Longitude: 8.46934°", + "FINAL ANSWER: 44.675520, 8.469340" + ] + }, + { + "task": "format_conversion", + "location_name": "Condado", + "source_format": "DMS", + "source_string": "21°52'36.1\"N, 79°50'24.5\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "21.876700, -79.840140", + "latitude": 21.8767, + "longitude": -79.84014 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 21°52'36.1\"N, 79°50'24.5\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 21.8767°", + "Step 4: Calculate longitude", + " Longitude: -79.84014°", + "FINAL ANSWER: 21.876700, -79.840140" + ] + }, + { + "task": "format_conversion", + "location_name": "Matadi", + "source_format": "DMS", + "source_string": "5°50'19.0\"S, 13°27'47.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-5.838610, 13.463060", + "latitude": -5.83861, + "longitude": 13.46306 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 5°50'19.0\"S, 13°27'47.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -5.83861°", + "Step 4: Calculate longitude", + " Longitude: 13.46306°", + "FINAL ANSWER: -5.838610, 13.463060" + ] + }, + { + "task": "format_conversion", + "location_name": "Lillehammer", + "source_format": "decimal_degrees", + "source_string": "61.115140, 10.466280", + "target_format": "DMS", + "ground_truth": { + "target_string": "61°6'54.5\"N, 10°27'58.6\"E", + "latitude": 61.11514, + "longitude": 10.46628 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 61.115140, 10.466280", + " Latitude: 61.11514°", + " Longitude: 10.46628°", + "Step 2: Convert latitude to DMS", + " Degrees = 61", + " Minutes = int((61.115140 - 61) × 60) = 6", + " Seconds = ((61.115140 - 61) × 60 - 6) × 60 = 54.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 10", + " Minutes = 27", + " Seconds = 58.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 61°6'54.5\"N, 10°27'58.6\"E", + "FINAL ANSWER: 61°6'54.5\"N, 10°27'58.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Argentan", + "source_format": "DMS", + "source_string": "48°44'39.9\"N, 0°1'12.8\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "48.744410, -0.020230", + "latitude": 48.74441, + "longitude": -0.02023 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 48°44'39.9\"N, 0°1'12.8\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 48.74441°", + "Step 4: Calculate longitude", + " Longitude: -0.02023°", + "FINAL ANSWER: 48.744410, -0.020230" + ] + }, + { + "task": "format_conversion", + "location_name": "Rauma", + "source_format": "decimal_degrees", + "source_string": "61.127240, 21.511270", + "target_format": "DMS", + "ground_truth": { + "target_string": "61°7'38.1\"N, 21°30'40.6\"E", + "latitude": 61.12724, + "longitude": 21.51127 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 61.127240, 21.511270", + " Latitude: 61.12724°", + " Longitude: 21.51127°", + "Step 2: Convert latitude to DMS", + " Degrees = 61", + " Minutes = int((61.127240 - 61) × 60) = 7", + " Seconds = ((61.127240 - 61) × 60 - 7) × 60 = 38.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 21", + " Minutes = 30", + " Seconds = 40.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 61°7'38.1\"N, 21°30'40.6\"E", + "FINAL ANSWER: 61°7'38.1\"N, 21°30'40.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Yangiyer", + "source_format": "DMS", + "source_string": "40°16'30.0\"N, 68°49'21.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.275000, 68.822500", + "latitude": 40.275, + "longitude": 68.8225 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°16'30.0\"N, 68°49'21.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 40.275°", + "Step 4: Calculate longitude", + " Longitude: 68.8225°", + "FINAL ANSWER: 40.275000, 68.822500" + ] + }, + { + "task": "format_conversion", + "location_name": "Kuroishi", + "source_format": "decimal_degrees", + "source_string": "40.645810, 140.583540", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°38'44.9\"N, 140°35'0.7\"E", + "latitude": 40.64581, + "longitude": 140.58354 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.645810, 140.583540", + " Latitude: 40.64581°", + " Longitude: 140.58354°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.645810 - 40) × 60) = 38", + " Seconds = ((40.645810 - 40) × 60 - 38) × 60 = 44.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 140", + " Minutes = 35", + " Seconds = 0.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 40°38'44.9\"N, 140°35'0.7\"E", + "FINAL ANSWER: 40°38'44.9\"N, 140°35'0.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Murray", + "source_format": "decimal_degrees", + "source_string": "40.666890, -111.887990", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°40'0.8\"N, 111°53'16.8\"W", + "latitude": 40.66689, + "longitude": -111.88799 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.666890, -111.887990", + " Latitude: 40.66689°", + " Longitude: -111.88799°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.666890 - 40) × 60) = 40", + " Seconds = ((40.666890 - 40) × 60 - 40) × 60 = 0.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 111", + " Minutes = 53", + " Seconds = 16.8", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 40°40'0.8\"N, 111°53'16.8\"W", + "FINAL ANSWER: 40°40'0.8\"N, 111°53'16.8\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Nagar", + "source_format": "decimal_degrees", + "source_string": "27.423970, 77.099220", + "target_format": "DMS", + "ground_truth": { + "target_string": "27°25'26.3\"N, 77°5'57.2\"E", + "latitude": 27.42397, + "longitude": 77.09922 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 27.423970, 77.099220", + " Latitude: 27.42397°", + " Longitude: 77.09922°", + "Step 2: Convert latitude to DMS", + " Degrees = 27", + " Minutes = int((27.423970 - 27) × 60) = 25", + " Seconds = ((27.423970 - 27) × 60 - 25) × 60 = 26.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 77", + " Minutes = 5", + " Seconds = 57.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 27°25'26.3\"N, 77°5'57.2\"E", + "FINAL ANSWER: 27°25'26.3\"N, 77°5'57.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Porto Seguro", + "source_format": "decimal_degrees", + "source_string": "-16.449720, -39.064720", + "target_format": "DMS", + "ground_truth": { + "target_string": "16°26'59.0\"S, 39°3'53.0\"W", + "latitude": -16.44972, + "longitude": -39.06472 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -16.449720, -39.064720", + " Latitude: -16.44972°", + " Longitude: -39.06472°", + "Step 2: Convert latitude to DMS", + " Degrees = 16", + " Minutes = int((16.449720 - 16) × 60) = 26", + " Seconds = ((16.449720 - 16) × 60 - 26) × 60 = 59.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 39", + " Minutes = 3", + " Seconds = 53.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 16°26'59.0\"S, 39°3'53.0\"W", + "FINAL ANSWER: 16°26'59.0\"S, 39°3'53.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Gorgonzola", + "source_format": "DMS", + "source_string": "45°31'50.5\"N, 9°24'19.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "45.530690, 9.405310", + "latitude": 45.53069, + "longitude": 9.40531 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 45°31'50.5\"N, 9°24'19.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 45.53069°", + "Step 4: Calculate longitude", + " Longitude: 9.40531°", + "FINAL ANSWER: 45.530690, 9.405310" + ] + }, + { + "task": "format_conversion", + "location_name": "Nānjikkottai", + "source_format": "decimal_degrees", + "source_string": "10.729250, 79.142450", + "target_format": "DMS", + "ground_truth": { + "target_string": "10°43'45.3\"N, 79°8'32.8\"E", + "latitude": 10.72925, + "longitude": 79.14245 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 10.729250, 79.142450", + " Latitude: 10.72925°", + " Longitude: 79.14245°", + "Step 2: Convert latitude to DMS", + " Degrees = 10", + " Minutes = int((10.729250 - 10) × 60) = 43", + " Seconds = ((10.729250 - 10) × 60 - 43) × 60 = 45.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 79", + " Minutes = 8", + " Seconds = 32.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 10°43'45.3\"N, 79°8'32.8\"E", + "FINAL ANSWER: 10°43'45.3\"N, 79°8'32.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Tavernes de la Valldigna", + "source_format": "DMS", + "source_string": "39°4'19.0\"N, 0°15'58.4\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "39.071950, -0.266230", + "latitude": 39.07195, + "longitude": -0.26623 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 39°4'19.0\"N, 0°15'58.4\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 39.07195°", + "Step 4: Calculate longitude", + " Longitude: -0.26623°", + "FINAL ANSWER: 39.071950, -0.266230" + ] + }, + { + "task": "format_conversion", + "location_name": "Mojokerto", + "source_format": "DMS", + "source_string": "7°27'59.0\"S, 112°26'1.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-7.466400, 112.433800", + "latitude": -7.4664, + "longitude": 112.4338 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 7°27'59.0\"S, 112°26'1.7\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -7.4664°", + "Step 4: Calculate longitude", + " Longitude: 112.4338°", + "FINAL ANSWER: -7.466400, 112.433800" + ] + }, + { + "task": "format_conversion", + "location_name": "Jászberény", + "source_format": "decimal_degrees", + "source_string": "47.500000, 19.916670", + "target_format": "DMS", + "ground_truth": { + "target_string": "47°30'0.0\"N, 19°55'0.0\"E", + "latitude": 47.5, + "longitude": 19.91667 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 47.500000, 19.916670", + " Latitude: 47.5°", + " Longitude: 19.91667°", + "Step 2: Convert latitude to DMS", + " Degrees = 47", + " Minutes = int((47.500000 - 47) × 60) = 30", + " Seconds = ((47.500000 - 47) × 60 - 30) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 19", + " Minutes = 55", + " Seconds = 0.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 47°30'0.0\"N, 19°55'0.0\"E", + "FINAL ANSWER: 47°30'0.0\"N, 19°55'0.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Guntakal", + "source_format": "DMS", + "source_string": "15°10'16.0\"N, 77°21'44.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "15.171120, 77.362440", + "latitude": 15.17112, + "longitude": 77.36244 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 15°10'16.0\"N, 77°21'44.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 15.17112°", + "Step 4: Calculate longitude", + " Longitude: 77.36244°", + "FINAL ANSWER: 15.171120, 77.362440" + ] + }, + { + "task": "format_conversion", + "location_name": "Dakoro", + "source_format": "decimal_degrees", + "source_string": "14.510560, 6.765000", + "target_format": "DMS", + "ground_truth": { + "target_string": "14°30'38.0\"N, 6°45'54.0\"E", + "latitude": 14.51056, + "longitude": 6.765 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 14.510560, 6.765000", + " Latitude: 14.51056°", + " Longitude: 6.765°", + "Step 2: Convert latitude to DMS", + " Degrees = 14", + " Minutes = int((14.510560 - 14) × 60) = 30", + " Seconds = ((14.510560 - 14) × 60 - 30) × 60 = 38.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 6", + " Minutes = 45", + " Seconds = 54.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 14°30'38.0\"N, 6°45'54.0\"E", + "FINAL ANSWER: 14°30'38.0\"N, 6°45'54.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Tirebolu", + "source_format": "DMS", + "source_string": "41°0'25.0\"N, 38°48'50.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "41.006940, 38.813890", + "latitude": 41.00694, + "longitude": 38.81389 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 41°0'25.0\"N, 38°48'50.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 41.00694°", + "Step 4: Calculate longitude", + " Longitude: 38.81389°", + "FINAL ANSWER: 41.006940, 38.813890" + ] + }, + { + "task": "format_conversion", + "location_name": "Buri", + "source_format": "decimal_degrees", + "source_string": "-23.797500, -48.592780", + "target_format": "DMS", + "ground_truth": { + "target_string": "23°47'51.0\"S, 48°35'34.0\"W", + "latitude": -23.7975, + "longitude": -48.59278 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -23.797500, -48.592780", + " Latitude: -23.7975°", + " Longitude: -48.59278°", + "Step 2: Convert latitude to DMS", + " Degrees = 23", + " Minutes = int((23.797500 - 23) × 60) = 47", + " Seconds = ((23.797500 - 23) × 60 - 47) × 60 = 51.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 48", + " Minutes = 35", + " Seconds = 34.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 23°47'51.0\"S, 48°35'34.0\"W", + "FINAL ANSWER: 23°47'51.0\"S, 48°35'34.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Titiwangsa", + "source_format": "DMS", + "source_string": "3°10'41.6\"N, 101°42'11.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "3.178220, 101.703120", + "latitude": 3.17822, + "longitude": 101.70312 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 3°10'41.6\"N, 101°42'11.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 3.17822°", + "Step 4: Calculate longitude", + " Longitude: 101.70312°", + "FINAL ANSWER: 3.178220, 101.703120" + ] + }, + { + "task": "format_conversion", + "location_name": "Bangarapet", + "source_format": "decimal_degrees", + "source_string": "12.991160, 78.178040", + "target_format": "DMS", + "ground_truth": { + "target_string": "12°59'28.2\"N, 78°10'40.9\"E", + "latitude": 12.99116, + "longitude": 78.17804 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 12.991160, 78.178040", + " Latitude: 12.99116°", + " Longitude: 78.17804°", + "Step 2: Convert latitude to DMS", + " Degrees = 12", + " Minutes = int((12.991160 - 12) × 60) = 59", + " Seconds = ((12.991160 - 12) × 60 - 59) × 60 = 28.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 78", + " Minutes = 10", + " Seconds = 40.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 12°59'28.2\"N, 78°10'40.9\"E", + "FINAL ANSWER: 12°59'28.2\"N, 78°10'40.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Charqueadas", + "source_format": "decimal_degrees", + "source_string": "-29.954720, -51.625280", + "target_format": "DMS", + "ground_truth": { + "target_string": "29°57'17.0\"S, 51°37'31.0\"W", + "latitude": -29.95472, + "longitude": -51.62528 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -29.954720, -51.625280", + " Latitude: -29.95472°", + " Longitude: -51.62528°", + "Step 2: Convert latitude to DMS", + " Degrees = 29", + " Minutes = int((29.954720 - 29) × 60) = 57", + " Seconds = ((29.954720 - 29) × 60 - 57) × 60 = 17.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 51", + " Minutes = 37", + " Seconds = 31.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 29°57'17.0\"S, 51°37'31.0\"W", + "FINAL ANSWER: 29°57'17.0\"S, 51°37'31.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Marco", + "source_format": "DMS", + "source_string": "3°7'26.0\"S, 40°8'48.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-3.123890, -40.146670", + "latitude": -3.12389, + "longitude": -40.14667 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 3°7'26.0\"S, 40°8'48.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -3.12389°", + "Step 4: Calculate longitude", + " Longitude: -40.14667°", + "FINAL ANSWER: -3.123890, -40.146670" + ] + }, + { + "task": "format_conversion", + "location_name": "Aldrich Bay", + "source_format": "decimal_degrees", + "source_string": "22.282030, 114.224740", + "target_format": "DMS", + "ground_truth": { + "target_string": "22°16'55.3\"N, 114°13'29.1\"E", + "latitude": 22.28203, + "longitude": 114.22474 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 22.282030, 114.224740", + " Latitude: 22.28203°", + " Longitude: 114.22474°", + "Step 2: Convert latitude to DMS", + " Degrees = 22", + " Minutes = int((22.282030 - 22) × 60) = 16", + " Seconds = ((22.282030 - 22) × 60 - 16) × 60 = 55.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 114", + " Minutes = 13", + " Seconds = 29.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 22°16'55.3\"N, 114°13'29.1\"E", + "FINAL ANSWER: 22°16'55.3\"N, 114°13'29.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Ipirá", + "source_format": "DMS", + "source_string": "12°9'30.0\"S, 39°44'14.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-12.158330, -39.737220", + "latitude": -12.15833, + "longitude": -39.73722 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 12°9'30.0\"S, 39°44'14.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -12.15833°", + "Step 4: Calculate longitude", + " Longitude: -39.73722°", + "FINAL ANSWER: -12.158330, -39.737220" + ] + }, + { + "task": "format_conversion", + "location_name": "Wisconsin Rapids", + "source_format": "DMS", + "source_string": "44°23'0.9\"N, 89°49'2.5\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "44.383580, -89.817350", + "latitude": 44.38358, + "longitude": -89.81735 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 44°23'0.9\"N, 89°49'2.5\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 44.38358°", + "Step 4: Calculate longitude", + " Longitude: -89.81735°", + "FINAL ANSWER: 44.383580, -89.817350" + ] + }, + { + "task": "format_conversion", + "location_name": "Kokshetau", + "source_format": "decimal_degrees", + "source_string": "53.284140, 69.393640", + "target_format": "DMS", + "ground_truth": { + "target_string": "53°17'2.9\"N, 69°23'37.1\"E", + "latitude": 53.28414, + "longitude": 69.39364 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 53.284140, 69.393640", + " Latitude: 53.28414°", + " Longitude: 69.39364°", + "Step 2: Convert latitude to DMS", + " Degrees = 53", + " Minutes = int((53.284140 - 53) × 60) = 17", + " Seconds = ((53.284140 - 53) × 60 - 17) × 60 = 2.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 69", + " Minutes = 23", + " Seconds = 37.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 53°17'2.9\"N, 69°23'37.1\"E", + "FINAL ANSWER: 53°17'2.9\"N, 69°23'37.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Tanba", + "source_format": "decimal_degrees", + "source_string": "35.160340, 135.039140", + "target_format": "DMS", + "ground_truth": { + "target_string": "35°9'37.2\"N, 135°2'20.9\"E", + "latitude": 35.16034, + "longitude": 135.03914 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 35.160340, 135.039140", + " Latitude: 35.16034°", + " Longitude: 135.03914°", + "Step 2: Convert latitude to DMS", + " Degrees = 35", + " Minutes = int((35.160340 - 35) × 60) = 9", + " Seconds = ((35.160340 - 35) × 60 - 9) × 60 = 37.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 135", + " Minutes = 2", + " Seconds = 20.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 35°9'37.2\"N, 135°2'20.9\"E", + "FINAL ANSWER: 35°9'37.2\"N, 135°2'20.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Ron Phibun", + "source_format": "DMS", + "source_string": "8°10'44.8\"N, 99°51'15.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "8.179110, 99.854250", + "latitude": 8.17911, + "longitude": 99.85425 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 8°10'44.8\"N, 99°51'15.3\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 8.17911°", + "Step 4: Calculate longitude", + " Longitude: 99.85425°", + "FINAL ANSWER: 8.179110, 99.854250" + ] + }, + { + "task": "format_conversion", + "location_name": "Anderson", + "source_format": "decimal_degrees", + "source_string": "34.503440, -82.650130", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°30'12.4\"N, 82°39'0.5\"W", + "latitude": 34.50344, + "longitude": -82.65013 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 34.503440, -82.650130", + " Latitude: 34.50344°", + " Longitude: -82.65013°", + "Step 2: Convert latitude to DMS", + " Degrees = 34", + " Minutes = int((34.503440 - 34) × 60) = 30", + " Seconds = ((34.503440 - 34) × 60 - 30) × 60 = 12.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 82", + " Minutes = 39", + " Seconds = 0.5", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 34°30'12.4\"N, 82°39'0.5\"W", + "FINAL ANSWER: 34°30'12.4\"N, 82°39'0.5\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Farafenni", + "source_format": "decimal_degrees", + "source_string": "13.566670, -15.600000", + "target_format": "DMS", + "ground_truth": { + "target_string": "13°34'0.0\"N, 15°35'60.0\"W", + "latitude": 13.56667, + "longitude": -15.6 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 13.566670, -15.600000", + " Latitude: 13.56667°", + " Longitude: -15.6°", + "Step 2: Convert latitude to DMS", + " Degrees = 13", + " Minutes = int((13.566670 - 13) × 60) = 34", + " Seconds = ((13.566670 - 13) × 60 - 34) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 15", + " Minutes = 35", + " Seconds = 60.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 13°34'0.0\"N, 15°35'60.0\"W", + "FINAL ANSWER: 13°34'0.0\"N, 15°35'60.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Massakory", + "source_format": "decimal_degrees", + "source_string": "12.998090, 15.731950", + "target_format": "DMS", + "ground_truth": { + "target_string": "12°59'53.1\"N, 15°43'55.0\"E", + "latitude": 12.99809, + "longitude": 15.73195 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 12.998090, 15.731950", + " Latitude: 12.99809°", + " Longitude: 15.73195°", + "Step 2: Convert latitude to DMS", + " Degrees = 12", + " Minutes = int((12.998090 - 12) × 60) = 59", + " Seconds = ((12.998090 - 12) × 60 - 59) × 60 = 53.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 15", + " Minutes = 43", + " Seconds = 55.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 12°59'53.1\"N, 15°43'55.0\"E", + "FINAL ANSWER: 12°59'53.1\"N, 15°43'55.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Juiz de Fora", + "source_format": "DMS", + "source_string": "21°45'51.0\"S, 43°21'1.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-21.764170, -43.350280", + "latitude": -21.76417, + "longitude": -43.35028 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 21°45'51.0\"S, 43°21'1.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -21.76417°", + "Step 4: Calculate longitude", + " Longitude: -43.35028°", + "FINAL ANSWER: -21.764170, -43.350280" + ] + }, + { + "task": "format_conversion", + "location_name": "Patuto", + "source_format": "DMS", + "source_string": "14°7'0.0\"N, 120°58'0.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "14.116670, 120.966670", + "latitude": 14.11667, + "longitude": 120.96667 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 14°7'0.0\"N, 120°58'0.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 14.11667°", + "Step 4: Calculate longitude", + " Longitude: 120.96667°", + "FINAL ANSWER: 14.116670, 120.966670" + ] + }, + { + "task": "format_conversion", + "location_name": "Kingston", + "source_format": "DMS", + "source_string": "29°3'16.5\"S, 167°57'58.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-29.054590, 167.966280", + "latitude": -29.05459, + "longitude": 167.96628 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 29°3'16.5\"S, 167°57'58.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -29.05459°", + "Step 4: Calculate longitude", + " Longitude: 167.96628°", + "FINAL ANSWER: -29.054590, 167.966280" + ] + }, + { + "task": "format_conversion", + "location_name": "Csepel-Csillagtelep", + "source_format": "decimal_degrees", + "source_string": "47.409180, 19.059440", + "target_format": "DMS", + "ground_truth": { + "target_string": "47°24'33.0\"N, 19°3'34.0\"E", + "latitude": 47.40918, + "longitude": 19.05944 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 47.409180, 19.059440", + " Latitude: 47.40918°", + " Longitude: 19.05944°", + "Step 2: Convert latitude to DMS", + " Degrees = 47", + " Minutes = int((47.409180 - 47) × 60) = 24", + " Seconds = ((47.409180 - 47) × 60 - 24) × 60 = 33.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 19", + " Minutes = 3", + " Seconds = 34.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 47°24'33.0\"N, 19°3'34.0\"E", + "FINAL ANSWER: 47°24'33.0\"N, 19°3'34.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Allende", + "source_format": "DMS", + "source_string": "28°20'28.5\"N, 100°51'4.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "28.341240, -100.851110", + "latitude": 28.34124, + "longitude": -100.85111 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 28°20'28.5\"N, 100°51'4.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 28.34124°", + "Step 4: Calculate longitude", + " Longitude: -100.85111°", + "FINAL ANSWER: 28.341240, -100.851110" + ] + }, + { + "task": "format_conversion", + "location_name": "La Pomme", + "source_format": "DMS", + "source_string": "43°17'23.5\"N, 5°26'29.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "43.289870, 5.441530", + "latitude": 43.28987, + "longitude": 5.44153 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 43°17'23.5\"N, 5°26'29.5\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 43.28987°", + "Step 4: Calculate longitude", + " Longitude: 5.44153°", + "FINAL ANSWER: 43.289870, 5.441530" + ] + }, + { + "task": "format_conversion", + "location_name": "Schmargendorf", + "source_format": "DMS", + "source_string": "52°28'30.6\"N, 13°17'26.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "52.475170, 13.290710", + "latitude": 52.47517, + "longitude": 13.29071 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 52°28'30.6\"N, 13°17'26.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 52.47517°", + "Step 4: Calculate longitude", + " Longitude: 13.29071°", + "FINAL ANSWER: 52.475170, 13.290710" + ] + }, + { + "task": "format_conversion", + "location_name": "Langxiang", + "source_format": "DMS", + "source_string": "46°56'59.5\"N, 128°52'6.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "46.949850, 128.868490", + "latitude": 46.94985, + "longitude": 128.86849 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 46°56'59.5\"N, 128°52'6.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 46.94985°", + "Step 4: Calculate longitude", + " Longitude: 128.86849°", + "FINAL ANSWER: 46.949850, 128.868490" + ] + }, + { + "task": "format_conversion", + "location_name": "Włocławek", + "source_format": "decimal_degrees", + "source_string": "52.648170, 19.067800", + "target_format": "DMS", + "ground_truth": { + "target_string": "52°38'53.4\"N, 19°4'4.1\"E", + "latitude": 52.64817, + "longitude": 19.0678 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 52.648170, 19.067800", + " Latitude: 52.64817°", + " Longitude: 19.0678°", + "Step 2: Convert latitude to DMS", + " Degrees = 52", + " Minutes = int((52.648170 - 52) × 60) = 38", + " Seconds = ((52.648170 - 52) × 60 - 38) × 60 = 53.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 19", + " Minutes = 4", + " Seconds = 4.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 52°38'53.4\"N, 19°4'4.1\"E", + "FINAL ANSWER: 52°38'53.4\"N, 19°4'4.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Mahārājpur", + "source_format": "DMS", + "source_string": "25°1'9.8\"N, 79°43'54.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "25.019390, 79.731890", + "latitude": 25.01939, + "longitude": 79.73189 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 25°1'9.8\"N, 79°43'54.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 25.01939°", + "Step 4: Calculate longitude", + " Longitude: 79.73189°", + "FINAL ANSWER: 25.019390, 79.731890" + ] + }, + { + "task": "format_conversion", + "location_name": "Registro", + "source_format": "DMS", + "source_string": "24°29'15.0\"S, 47°50'37.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-24.487500, -47.843610", + "latitude": -24.4875, + "longitude": -47.84361 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 24°29'15.0\"S, 47°50'37.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -24.4875°", + "Step 4: Calculate longitude", + " Longitude: -47.84361°", + "FINAL ANSWER: -24.487500, -47.843610" + ] + }, + { + "task": "format_conversion", + "location_name": "Bourzanga", + "source_format": "DMS", + "source_string": "13°40'41.0\"N, 1°32'46.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "13.678060, -1.546110", + "latitude": 13.67806, + "longitude": -1.54611 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 13°40'41.0\"N, 1°32'46.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 13.67806°", + "Step 4: Calculate longitude", + " Longitude: -1.54611°", + "FINAL ANSWER: 13.678060, -1.546110" + ] + }, + { + "task": "format_conversion", + "location_name": "Komárno", + "source_format": "DMS", + "source_string": "48°7'0.0\"N, 18°19'0.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "48.116670, 18.316670", + "latitude": 48.11667, + "longitude": 18.31667 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 48°7'0.0\"N, 18°19'0.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 48.11667°", + "Step 4: Calculate longitude", + " Longitude: 18.31667°", + "FINAL ANSWER: 48.116670, 18.316670" + ] + }, + { + "task": "format_conversion", + "location_name": "Baki", + "source_format": "DMS", + "source_string": "7°36'46.0\"S, 110°47'2.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-7.612780, 110.783890", + "latitude": -7.61278, + "longitude": 110.78389 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 7°36'46.0\"S, 110°47'2.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -7.61278°", + "Step 4: Calculate longitude", + " Longitude: 110.78389°", + "FINAL ANSWER: -7.612780, 110.783890" + ] + }, + { + "task": "format_conversion", + "location_name": "Ilagan", + "source_format": "decimal_degrees", + "source_string": "17.148540, 121.889240", + "target_format": "DMS", + "ground_truth": { + "target_string": "17°8'54.7\"N, 121°53'21.3\"E", + "latitude": 17.14854, + "longitude": 121.88924 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 17.148540, 121.889240", + " Latitude: 17.14854°", + " Longitude: 121.88924°", + "Step 2: Convert latitude to DMS", + " Degrees = 17", + " Minutes = int((17.148540 - 17) × 60) = 8", + " Seconds = ((17.148540 - 17) × 60 - 8) × 60 = 54.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 121", + " Minutes = 53", + " Seconds = 21.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 17°8'54.7\"N, 121°53'21.3\"E", + "FINAL ANSWER: 17°8'54.7\"N, 121°53'21.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Sittingbourne", + "source_format": "DMS", + "source_string": "51°20'28.6\"N, 0°43'58.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "51.341280, 0.732820", + "latitude": 51.34128, + "longitude": 0.73282 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 51°20'28.6\"N, 0°43'58.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 51.34128°", + "Step 4: Calculate longitude", + " Longitude: 0.73282°", + "FINAL ANSWER: 51.341280, 0.732820" + ] + }, + { + "task": "format_conversion", + "location_name": "Germī", + "source_format": "DMS", + "source_string": "39°1'17.4\"N, 48°4'48.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "39.021500, 48.080100", + "latitude": 39.0215, + "longitude": 48.0801 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 39°1'17.4\"N, 48°4'48.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 39.0215°", + "Step 4: Calculate longitude", + " Longitude: 48.0801°", + "FINAL ANSWER: 39.021500, 48.080100" + ] + }, + { + "task": "format_conversion", + "location_name": "Helong", + "source_format": "DMS", + "source_string": "42°32'23.1\"N, 128°59'50.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "42.539740, 128.997220", + "latitude": 42.53974, + "longitude": 128.99722 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 42°32'23.1\"N, 128°59'50.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 42.53974°", + "Step 4: Calculate longitude", + " Longitude: 128.99722°", + "FINAL ANSWER: 42.539740, 128.997220" + ] + }, + { + "task": "format_conversion", + "location_name": "Hajdúnánás", + "source_format": "decimal_degrees", + "source_string": "47.850000, 21.433330", + "target_format": "DMS", + "ground_truth": { + "target_string": "47°51'0.0\"N, 21°25'60.0\"E", + "latitude": 47.85, + "longitude": 21.43333 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 47.850000, 21.433330", + " Latitude: 47.85°", + " Longitude: 21.43333°", + "Step 2: Convert latitude to DMS", + " Degrees = 47", + " Minutes = int((47.850000 - 47) × 60) = 51", + " Seconds = ((47.850000 - 47) × 60 - 51) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 21", + " Minutes = 25", + " Seconds = 60.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 47°51'0.0\"N, 21°25'60.0\"E", + "FINAL ANSWER: 47°51'0.0\"N, 21°25'60.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Jingui", + "source_format": "decimal_degrees", + "source_string": "38.500000, 106.416670", + "target_format": "DMS", + "ground_truth": { + "target_string": "38°30'0.0\"N, 106°25'0.0\"E", + "latitude": 38.5, + "longitude": 106.41667 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 38.500000, 106.416670", + " Latitude: 38.5°", + " Longitude: 106.41667°", + "Step 2: Convert latitude to DMS", + " Degrees = 38", + " Minutes = int((38.500000 - 38) × 60) = 30", + " Seconds = ((38.500000 - 38) × 60 - 30) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 106", + " Minutes = 25", + " Seconds = 0.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 38°30'0.0\"N, 106°25'0.0\"E", + "FINAL ANSWER: 38°30'0.0\"N, 106°25'0.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Brera", + "source_format": "DMS", + "source_string": "45°28'17.5\"N, 9°11'15.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "45.471540, 9.187630", + "latitude": 45.47154, + "longitude": 9.18763 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 45°28'17.5\"N, 9°11'15.5\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 45.47154°", + "Step 4: Calculate longitude", + " Longitude: 9.18763°", + "FINAL ANSWER: 45.471540, 9.187630" + ] + }, + { + "task": "format_conversion", + "location_name": "Leninsk", + "source_format": "DMS", + "source_string": "48°42'11.2\"N, 45°11'46.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "48.703110, 45.196110", + "latitude": 48.70311, + "longitude": 45.19611 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 48°42'11.2\"N, 45°11'46.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 48.70311°", + "Step 4: Calculate longitude", + " Longitude: 45.19611°", + "FINAL ANSWER: 48.703110, 45.196110" + ] + }, + { + "task": "format_conversion", + "location_name": "Oiapoque", + "source_format": "DMS", + "source_string": "3°50'35.0\"N, 51°50'6.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "3.843060, -51.835000", + "latitude": 3.84306, + "longitude": -51.835 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 3°50'35.0\"N, 51°50'6.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 3.84306°", + "Step 4: Calculate longitude", + " Longitude: -51.835°", + "FINAL ANSWER: 3.843060, -51.835000" + ] + }, + { + "task": "format_conversion", + "location_name": "Al Ḩurshah", + "source_format": "decimal_degrees", + "source_string": "32.764720, 12.673890", + "target_format": "DMS", + "ground_truth": { + "target_string": "32°45'53.0\"N, 12°40'26.0\"E", + "latitude": 32.76472, + "longitude": 12.67389 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 32.764720, 12.673890", + " Latitude: 32.76472°", + " Longitude: 12.67389°", + "Step 2: Convert latitude to DMS", + " Degrees = 32", + " Minutes = int((32.764720 - 32) × 60) = 45", + " Seconds = ((32.764720 - 32) × 60 - 45) × 60 = 53.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 12", + " Minutes = 40", + " Seconds = 26.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 32°45'53.0\"N, 12°40'26.0\"E", + "FINAL ANSWER: 32°45'53.0\"N, 12°40'26.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Shevchenko", + "source_format": "DMS", + "source_string": "43°39'39.8\"N, 51°10'26.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "43.661050, 51.173920", + "latitude": 43.66105, + "longitude": 51.17392 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 43°39'39.8\"N, 51°10'26.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 43.66105°", + "Step 4: Calculate longitude", + " Longitude: 51.17392°", + "FINAL ANSWER: 43.661050, 51.173920" + ] + }, + { + "task": "format_conversion", + "location_name": "Una", + "source_format": "DD", + "source_string": "31.464930, 76.269140", + "target_format": "DMS", + "ground_truth": { + "target_string": "31°27'53.7\"N, 76°16'8.9\"E", + "latitude": 31.46493, + "longitude": 76.26914 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: 31.464930, 76.269140", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 31°27'53.7\"N, 76°16'8.9\"E", + "FINAL ANSWER: 31°27'53.7\"N, 76°16'8.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Bukit Rambai", + "source_format": "DMS", + "source_string": "2°15'33.8\"N, 102°11'1.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "2.259400, 102.183800", + "latitude": 2.2594, + "longitude": 102.1838 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 2°15'33.8\"N, 102°11'1.7\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 2.2594°", + "Step 4: Calculate longitude", + " Longitude: 102.1838°", + "FINAL ANSWER: 2.259400, 102.183800" + ] + }, + { + "task": "format_conversion", + "location_name": "Santa Rita de Cássia", + "source_format": "DMS", + "source_string": "11°0'31.0\"S, 44°31'10.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-11.008610, -44.519440", + "latitude": -11.00861, + "longitude": -44.51944 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 11°0'31.0\"S, 44°31'10.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -11.00861°", + "Step 4: Calculate longitude", + " Longitude: -44.51944°", + "FINAL ANSWER: -11.008610, -44.519440" + ] + }, + { + "task": "format_conversion", + "location_name": "Hyde", + "source_format": "DMS", + "source_string": "53°27'4.7\"N, 2°4'45.9\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "53.451310, -2.079430", + "latitude": 53.45131, + "longitude": -2.07943 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 53°27'4.7\"N, 2°4'45.9\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 53.45131°", + "Step 4: Calculate longitude", + " Longitude: -2.07943°", + "FINAL ANSWER: 53.451310, -2.079430" + ] + }, + { + "task": "format_conversion", + "location_name": "Amontada", + "source_format": "decimal_degrees", + "source_string": "-3.361670, -39.831670", + "target_format": "DMS", + "ground_truth": { + "target_string": "3°21'42.0\"S, 39°49'54.0\"W", + "latitude": -3.36167, + "longitude": -39.83167 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -3.361670, -39.831670", + " Latitude: -3.36167°", + " Longitude: -39.83167°", + "Step 2: Convert latitude to DMS", + " Degrees = 3", + " Minutes = int((3.361670 - 3) × 60) = 21", + " Seconds = ((3.361670 - 3) × 60 - 21) × 60 = 42.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 39", + " Minutes = 49", + " Seconds = 54.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 3°21'42.0\"S, 39°49'54.0\"W", + "FINAL ANSWER: 3°21'42.0\"S, 39°49'54.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Indaial", + "source_format": "DMS", + "source_string": "26°53'52.0\"S, 49°13'54.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-26.897780, -49.231670", + "latitude": -26.89778, + "longitude": -49.23167 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 26°53'52.0\"S, 49°13'54.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -26.89778°", + "Step 4: Calculate longitude", + " Longitude: -49.23167°", + "FINAL ANSWER: -26.897780, -49.231670" + ] + }, + { + "task": "format_conversion", + "location_name": "Magugpo Poblacion", + "source_format": "DMS", + "source_string": "7°26'51.0\"N, 125°48'16.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "7.447500, 125.804600", + "latitude": 7.4475, + "longitude": 125.8046 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 7°26'51.0\"N, 125°48'16.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 7.4475°", + "Step 4: Calculate longitude", + " Longitude: 125.8046°", + "FINAL ANSWER: 7.447500, 125.804600" + ] + }, + { + "task": "format_conversion", + "location_name": "Tha Mai", + "source_format": "decimal_degrees", + "source_string": "12.621370, 102.004810", + "target_format": "DMS", + "ground_truth": { + "target_string": "12°37'16.9\"N, 102°0'17.3\"E", + "latitude": 12.62137, + "longitude": 102.00481 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 12.621370, 102.004810", + " Latitude: 12.62137°", + " Longitude: 102.00481°", + "Step 2: Convert latitude to DMS", + " Degrees = 12", + " Minutes = int((12.621370 - 12) × 60) = 37", + " Seconds = ((12.621370 - 12) × 60 - 37) × 60 = 16.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 102", + " Minutes = 0", + " Seconds = 17.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 12°37'16.9\"N, 102°0'17.3\"E", + "FINAL ANSWER: 12°37'16.9\"N, 102°0'17.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Gualeguaychú", + "source_format": "DD", + "source_string": "-33.007770, -58.518360", + "target_format": "DMS", + "ground_truth": { + "target_string": "33°0'28.0\"S, 58°31'6.1\"W", + "latitude": -33.00777, + "longitude": -58.51836 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: -33.007770, -58.518360", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 33°0'28.0\"S, 58°31'6.1\"W", + "FINAL ANSWER: 33°0'28.0\"S, 58°31'6.1\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Cárdenas", + "source_format": "DMS", + "source_string": "23°2'11.8\"N, 81°12'21.5\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "23.036610, -81.205960", + "latitude": 23.03661, + "longitude": -81.20596 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 23°2'11.8\"N, 81°12'21.5\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 23.03661°", + "Step 4: Calculate longitude", + " Longitude: -81.20596°", + "FINAL ANSWER: 23.036610, -81.205960" + ] + }, + { + "task": "format_conversion", + "location_name": "Villanueva", + "source_format": "DMS", + "source_string": "15°18'53.1\"N, 87°59'37.8\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "15.314760, -87.993830", + "latitude": 15.31476, + "longitude": -87.99383 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 15°18'53.1\"N, 87°59'37.8\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 15.31476°", + "Step 4: Calculate longitude", + " Longitude: -87.99383°", + "FINAL ANSWER: 15.314760, -87.993830" + ] + }, + { + "task": "format_conversion", + "location_name": "San Tung Chung Hang", + "source_format": "DMS", + "source_string": "22°16'43.5\"N, 113°56'35.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "22.278750, 113.943070", + "latitude": 22.27875, + "longitude": 113.94307 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 22°16'43.5\"N, 113°56'35.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 22.27875°", + "Step 4: Calculate longitude", + " Longitude: 113.94307°", + "FINAL ANSWER: 22.278750, 113.943070" + ] + }, + { + "task": "format_conversion", + "location_name": "Chirpan", + "source_format": "decimal_degrees", + "source_string": "42.200000, 25.333330", + "target_format": "DMS", + "ground_truth": { + "target_string": "42°12'0.0\"N, 25°19'60.0\"E", + "latitude": 42.2, + "longitude": 25.33333 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 42.200000, 25.333330", + " Latitude: 42.2°", + " Longitude: 25.33333°", + "Step 2: Convert latitude to DMS", + " Degrees = 42", + " Minutes = int((42.200000 - 42) × 60) = 12", + " Seconds = ((42.200000 - 42) × 60 - 12) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 25", + " Minutes = 19", + " Seconds = 60.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 42°12'0.0\"N, 25°19'60.0\"E", + "FINAL ANSWER: 42°12'0.0\"N, 25°19'60.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Koesan", + "source_format": "DMS", + "source_string": "36°48'39.0\"N, 127°47'41.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "36.810830, 127.794720", + "latitude": 36.81083, + "longitude": 127.79472 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 36°48'39.0\"N, 127°47'41.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 36.81083°", + "Step 4: Calculate longitude", + " Longitude: 127.79472°", + "FINAL ANSWER: 36.810830, 127.794720" + ] + }, + { + "task": "format_conversion", + "location_name": "Ville-Émard", + "source_format": "decimal_degrees", + "source_string": "45.449790, -73.601500", + "target_format": "DMS", + "ground_truth": { + "target_string": "45°26'59.2\"N, 73°36'5.4\"W", + "latitude": 45.44979, + "longitude": -73.6015 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 45.449790, -73.601500", + " Latitude: 45.44979°", + " Longitude: -73.6015°", + "Step 2: Convert latitude to DMS", + " Degrees = 45", + " Minutes = int((45.449790 - 45) × 60) = 26", + " Seconds = ((45.449790 - 45) × 60 - 26) × 60 = 59.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 73", + " Minutes = 36", + " Seconds = 5.4", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 45°26'59.2\"N, 73°36'5.4\"W", + "FINAL ANSWER: 45°26'59.2\"N, 73°36'5.4\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Sampsonievskiy", + "source_format": "DMS", + "source_string": "59°59'6.0\"N, 30°20'34.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "59.984990, 30.342950", + "latitude": 59.98499, + "longitude": 30.34295 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 59°59'6.0\"N, 30°20'34.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 59.98499°", + "Step 4: Calculate longitude", + " Longitude: 30.34295°", + "FINAL ANSWER: 59.984990, 30.342950" + ] + }, + { + "task": "format_conversion", + "location_name": "Portoviejo", + "source_format": "DMS", + "source_string": "1°3'27.5\"S, 80°27'5.2\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-1.057640, -80.451450", + "latitude": -1.05764, + "longitude": -80.45145 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 1°3'27.5\"S, 80°27'5.2\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -1.05764°", + "Step 4: Calculate longitude", + " Longitude: -80.45145°", + "FINAL ANSWER: -1.057640, -80.451450" + ] + }, + { + "task": "format_conversion", + "location_name": "Drensteinfurt", + "source_format": "decimal_degrees", + "source_string": "51.795350, 7.738150", + "target_format": "DMS", + "ground_truth": { + "target_string": "51°47'43.3\"N, 7°44'17.3\"E", + "latitude": 51.79535, + "longitude": 7.73815 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 51.795350, 7.738150", + " Latitude: 51.79535°", + " Longitude: 7.73815°", + "Step 2: Convert latitude to DMS", + " Degrees = 51", + " Minutes = int((51.795350 - 51) × 60) = 47", + " Seconds = ((51.795350 - 51) × 60 - 47) × 60 = 43.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 7", + " Minutes = 44", + " Seconds = 17.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 51°47'43.3\"N, 7°44'17.3\"E", + "FINAL ANSWER: 51°47'43.3\"N, 7°44'17.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Morohongō", + "source_format": "DMS", + "source_string": "35°56'8.0\"N, 139°18'16.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "35.935560, 139.304440", + "latitude": 35.93556, + "longitude": 139.30444 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 35°56'8.0\"N, 139°18'16.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 35.93556°", + "Step 4: Calculate longitude", + " Longitude: 139.30444°", + "FINAL ANSWER: 35.935560, 139.304440" + ] + }, + { + "task": "format_conversion", + "location_name": "Medchal", + "source_format": "DMS", + "source_string": "17°37'47.0\"N, 78°28'53.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "17.629720, 78.481390", + "latitude": 17.62972, + "longitude": 78.48139 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 17°37'47.0\"N, 78°28'53.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 17.62972°", + "Step 4: Calculate longitude", + " Longitude: 78.48139°", + "FINAL ANSWER: 17.629720, 78.481390" + ] + }, + { + "task": "format_conversion", + "location_name": "İncirliova", + "source_format": "decimal_degrees", + "source_string": "37.852220, 27.723610", + "target_format": "DMS", + "ground_truth": { + "target_string": "37°51'8.0\"N, 27°43'25.0\"E", + "latitude": 37.85222, + "longitude": 27.72361 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 37.852220, 27.723610", + " Latitude: 37.85222°", + " Longitude: 27.72361°", + "Step 2: Convert latitude to DMS", + " Degrees = 37", + " Minutes = int((37.852220 - 37) × 60) = 51", + " Seconds = ((37.852220 - 37) × 60 - 51) × 60 = 8.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 27", + " Minutes = 43", + " Seconds = 25.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 37°51'8.0\"N, 27°43'25.0\"E", + "FINAL ANSWER: 37°51'8.0\"N, 27°43'25.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Apomu", + "source_format": "DMS", + "source_string": "7°21'5.6\"N, 4°11'0.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "7.351560, 4.183350", + "latitude": 7.35156, + "longitude": 4.18335 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 7°21'5.6\"N, 4°11'0.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 7.35156°", + "Step 4: Calculate longitude", + " Longitude: 4.18335°", + "FINAL ANSWER: 7.351560, 4.183350" + ] + }, + { + "task": "format_conversion", + "location_name": "Eving", + "source_format": "DMS", + "source_string": "51°33'6.4\"N, 7°28'51.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "51.551770, 7.480870", + "latitude": 51.55177, + "longitude": 7.48087 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 51°33'6.4\"N, 7°28'51.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 51.55177°", + "Step 4: Calculate longitude", + " Longitude: 7.48087°", + "FINAL ANSWER: 51.551770, 7.480870" + ] + }, + { + "task": "format_conversion", + "location_name": "Edosaki", + "source_format": "DMS", + "source_string": "35°57'0.0\"N, 140°19'0.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "35.950000, 140.316670", + "latitude": 35.95, + "longitude": 140.31667 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 35°57'0.0\"N, 140°19'0.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 35.95°", + "Step 4: Calculate longitude", + " Longitude: 140.31667°", + "FINAL ANSWER: 35.950000, 140.316670" + ] + }, + { + "task": "format_conversion", + "location_name": "Kobayashi", + "source_format": "decimal_degrees", + "source_string": "31.983330, 130.983330", + "target_format": "DMS", + "ground_truth": { + "target_string": "31°58'60.0\"N, 130°58'60.0\"E", + "latitude": 31.98333, + "longitude": 130.98333 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 31.983330, 130.983330", + " Latitude: 31.98333°", + " Longitude: 130.98333°", + "Step 2: Convert latitude to DMS", + " Degrees = 31", + " Minutes = int((31.983330 - 31) × 60) = 58", + " Seconds = ((31.983330 - 31) × 60 - 58) × 60 = 60.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 130", + " Minutes = 58", + " Seconds = 60.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 31°58'60.0\"N, 130°58'60.0\"E", + "FINAL ANSWER: 31°58'60.0\"N, 130°58'60.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Hilvan", + "source_format": "DMS", + "source_string": "37°35'12.7\"N, 38°57'18.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "37.586870, 38.955050", + "latitude": 37.58687, + "longitude": 38.95505 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 37°35'12.7\"N, 38°57'18.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 37.58687°", + "Step 4: Calculate longitude", + " Longitude: 38.95505°", + "FINAL ANSWER: 37.586870, 38.955050" + ] + }, + { + "task": "format_conversion", + "location_name": "Jamestown", + "source_format": "decimal_degrees", + "source_string": "-15.924880, -5.718160", + "target_format": "DMS", + "ground_truth": { + "target_string": "15°55'29.6\"S, 5°43'5.4\"W", + "latitude": -15.92488, + "longitude": -5.71816 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -15.924880, -5.718160", + " Latitude: -15.92488°", + " Longitude: -5.71816°", + "Step 2: Convert latitude to DMS", + " Degrees = 15", + " Minutes = int((15.924880 - 15) × 60) = 55", + " Seconds = ((15.924880 - 15) × 60 - 55) × 60 = 29.6", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 5", + " Minutes = 43", + " Seconds = 5.4", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 15°55'29.6\"S, 5°43'5.4\"W", + "FINAL ANSWER: 15°55'29.6\"S, 5°43'5.4\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Xigaoshan", + "source_format": "decimal_degrees", + "source_string": "33.734750, 105.388170", + "target_format": "DMS", + "ground_truth": { + "target_string": "33°44'5.1\"N, 105°23'17.4\"E", + "latitude": 33.73475, + "longitude": 105.38817 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 33.734750, 105.388170", + " Latitude: 33.73475°", + " Longitude: 105.38817°", + "Step 2: Convert latitude to DMS", + " Degrees = 33", + " Minutes = int((33.734750 - 33) × 60) = 44", + " Seconds = ((33.734750 - 33) × 60 - 44) × 60 = 5.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 105", + " Minutes = 23", + " Seconds = 17.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 33°44'5.1\"N, 105°23'17.4\"E", + "FINAL ANSWER: 33°44'5.1\"N, 105°23'17.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Moncalieri", + "source_format": "decimal_degrees", + "source_string": "44.999400, 7.682360", + "target_format": "DMS", + "ground_truth": { + "target_string": "44°59'57.8\"N, 7°40'56.5\"E", + "latitude": 44.9994, + "longitude": 7.68236 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 44.999400, 7.682360", + " Latitude: 44.9994°", + " Longitude: 7.68236°", + "Step 2: Convert latitude to DMS", + " Degrees = 44", + " Minutes = int((44.999400 - 44) × 60) = 59", + " Seconds = ((44.999400 - 44) × 60 - 59) × 60 = 57.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 7", + " Minutes = 40", + " Seconds = 56.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 44°59'57.8\"N, 7°40'56.5\"E", + "FINAL ANSWER: 44°59'57.8\"N, 7°40'56.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "São José do Vale do Rio Preto", + "source_format": "DMS", + "source_string": "22°9'7.7\"S, 42°55'24.1\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-22.152140, -42.923350", + "latitude": -22.15214, + "longitude": -42.92335 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 22°9'7.7\"S, 42°55'24.1\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -22.15214°", + "Step 4: Calculate longitude", + " Longitude: -42.92335°", + "FINAL ANSWER: -22.152140, -42.923350" + ] + }, + { + "task": "format_conversion", + "location_name": "Belaya Glina", + "source_format": "DMS", + "source_string": "46°4'52.1\"N, 40°52'24.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "46.081150, 40.873510", + "latitude": 46.08115, + "longitude": 40.87351 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 46°4'52.1\"N, 40°52'24.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 46.08115°", + "Step 4: Calculate longitude", + " Longitude: 40.87351°", + "FINAL ANSWER: 46.081150, 40.873510" + ] + }, + { + "task": "format_conversion", + "location_name": "Shirley", + "source_format": "DMS", + "source_string": "52°24'38.7\"N, 1°49'10.3\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "52.410740, -1.819520", + "latitude": 52.41074, + "longitude": -1.81952 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 52°24'38.7\"N, 1°49'10.3\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 52.41074°", + "Step 4: Calculate longitude", + " Longitude: -1.81952°", + "FINAL ANSWER: 52.410740, -1.819520" + ] + }, + { + "task": "format_conversion", + "location_name": "Al Balyanā", + "source_format": "DMS", + "source_string": "26°14'11.3\"N, 32°0'13.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "26.236480, 32.003870", + "latitude": 26.23648, + "longitude": 32.00387 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 26°14'11.3\"N, 32°0'13.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 26.23648°", + "Step 4: Calculate longitude", + " Longitude: 32.00387°", + "FINAL ANSWER: 26.236480, 32.003870" + ] + }, + { + "task": "format_conversion", + "location_name": "Yoshida-kasugachō", + "source_format": "DMS", + "source_string": "37°40'60.0\"N, 138°52'60.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "37.683330, 138.883330", + "latitude": 37.68333, + "longitude": 138.88333 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 37°40'60.0\"N, 138°52'60.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 37.68333°", + "Step 4: Calculate longitude", + " Longitude: 138.88333°", + "FINAL ANSWER: 37.683330, 138.883330" + ] + }, + { + "task": "format_conversion", + "location_name": "Pengcheng", + "source_format": "decimal_degrees", + "source_string": "36.431110, 114.170000", + "target_format": "DMS", + "ground_truth": { + "target_string": "36°25'52.0\"N, 114°10'12.0\"E", + "latitude": 36.43111, + "longitude": 114.17 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 36.431110, 114.170000", + " Latitude: 36.43111°", + " Longitude: 114.17°", + "Step 2: Convert latitude to DMS", + " Degrees = 36", + " Minutes = int((36.431110 - 36) × 60) = 25", + " Seconds = ((36.431110 - 36) × 60 - 25) × 60 = 52.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 114", + " Minutes = 10", + " Seconds = 12.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 36°25'52.0\"N, 114°10'12.0\"E", + "FINAL ANSWER: 36°25'52.0\"N, 114°10'12.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Quezon", + "source_format": "decimal_degrees", + "source_string": "7.730280, 125.098890", + "target_format": "DMS", + "ground_truth": { + "target_string": "7°43'49.0\"N, 125°5'56.0\"E", + "latitude": 7.73028, + "longitude": 125.09889 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 7.730280, 125.098890", + " Latitude: 7.73028°", + " Longitude: 125.09889°", + "Step 2: Convert latitude to DMS", + " Degrees = 7", + " Minutes = int((7.730280 - 7) × 60) = 43", + " Seconds = ((7.730280 - 7) × 60 - 43) × 60 = 49.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 125", + " Minutes = 5", + " Seconds = 56.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 7°43'49.0\"N, 125°5'56.0\"E", + "FINAL ANSWER: 7°43'49.0\"N, 125°5'56.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Sawankhalok", + "source_format": "DMS", + "source_string": "17°18'57.5\"N, 99°49'54.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "17.315970, 99.831860", + "latitude": 17.31597, + "longitude": 99.83186 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 17°18'57.5\"N, 99°49'54.7\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 17.31597°", + "Step 4: Calculate longitude", + " Longitude: 99.83186°", + "FINAL ANSWER: 17.315970, 99.831860" + ] + }, + { + "task": "format_conversion", + "location_name": "Mount Pleasant", + "source_format": "decimal_degrees", + "source_string": "38.930670, -77.040810", + "target_format": "DMS", + "ground_truth": { + "target_string": "38°55'50.4\"N, 77°2'26.9\"W", + "latitude": 38.93067, + "longitude": -77.04081 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 38.930670, -77.040810", + " Latitude: 38.93067°", + " Longitude: -77.04081°", + "Step 2: Convert latitude to DMS", + " Degrees = 38", + " Minutes = int((38.930670 - 38) × 60) = 55", + " Seconds = ((38.930670 - 38) × 60 - 55) × 60 = 50.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 77", + " Minutes = 2", + " Seconds = 26.9", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 38°55'50.4\"N, 77°2'26.9\"W", + "FINAL ANSWER: 38°55'50.4\"N, 77°2'26.9\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Ureshinomachi-shimojuku", + "source_format": "decimal_degrees", + "source_string": "33.113580, 130.002920", + "target_format": "DMS", + "ground_truth": { + "target_string": "33°6'48.9\"N, 130°0'10.5\"E", + "latitude": 33.11358, + "longitude": 130.00292 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 33.113580, 130.002920", + " Latitude: 33.11358°", + " Longitude: 130.00292°", + "Step 2: Convert latitude to DMS", + " Degrees = 33", + " Minutes = int((33.113580 - 33) × 60) = 6", + " Seconds = ((33.113580 - 33) × 60 - 6) × 60 = 48.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 130", + " Minutes = 0", + " Seconds = 10.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 33°6'48.9\"N, 130°0'10.5\"E", + "FINAL ANSWER: 33°6'48.9\"N, 130°0'10.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Stanford-le-Hope", + "source_format": "decimal_degrees", + "source_string": "51.522740, 0.434220", + "target_format": "DMS", + "ground_truth": { + "target_string": "51°31'21.9\"N, 0°26'3.2\"E", + "latitude": 51.52274, + "longitude": 0.43422 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 51.522740, 0.434220", + " Latitude: 51.52274°", + " Longitude: 0.43422°", + "Step 2: Convert latitude to DMS", + " Degrees = 51", + " Minutes = int((51.522740 - 51) × 60) = 31", + " Seconds = ((51.522740 - 51) × 60 - 31) × 60 = 21.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 0", + " Minutes = 26", + " Seconds = 3.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 51°31'21.9\"N, 0°26'3.2\"E", + "FINAL ANSWER: 51°31'21.9\"N, 0°26'3.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Beigang", + "source_format": "decimal_degrees", + "source_string": "23.570100, 120.301620", + "target_format": "DMS", + "ground_truth": { + "target_string": "23°34'12.4\"N, 120°18'5.8\"E", + "latitude": 23.5701, + "longitude": 120.30162 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 23.570100, 120.301620", + " Latitude: 23.5701°", + " Longitude: 120.30162°", + "Step 2: Convert latitude to DMS", + " Degrees = 23", + " Minutes = int((23.570100 - 23) × 60) = 34", + " Seconds = ((23.570100 - 23) × 60 - 34) × 60 = 12.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 120", + " Minutes = 18", + " Seconds = 5.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 23°34'12.4\"N, 120°18'5.8\"E", + "FINAL ANSWER: 23°34'12.4\"N, 120°18'5.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Hadera", + "source_format": "decimal_degrees", + "source_string": "32.441920, 34.903900", + "target_format": "DMS", + "ground_truth": { + "target_string": "32°26'30.9\"N, 34°54'14.0\"E", + "latitude": 32.44192, + "longitude": 34.9039 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 32.441920, 34.903900", + " Latitude: 32.44192°", + " Longitude: 34.9039°", + "Step 2: Convert latitude to DMS", + " Degrees = 32", + " Minutes = int((32.441920 - 32) × 60) = 26", + " Seconds = ((32.441920 - 32) × 60 - 26) × 60 = 30.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 34", + " Minutes = 54", + " Seconds = 14.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 32°26'30.9\"N, 34°54'14.0\"E", + "FINAL ANSWER: 32°26'30.9\"N, 34°54'14.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Felgueiras", + "source_format": "decimal_degrees", + "source_string": "41.368060, -8.193960", + "target_format": "DMS", + "ground_truth": { + "target_string": "41°22'5.0\"N, 8°11'38.3\"W", + "latitude": 41.36806, + "longitude": -8.19396 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 41.368060, -8.193960", + " Latitude: 41.36806°", + " Longitude: -8.19396°", + "Step 2: Convert latitude to DMS", + " Degrees = 41", + " Minutes = int((41.368060 - 41) × 60) = 22", + " Seconds = ((41.368060 - 41) × 60 - 22) × 60 = 5.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 8", + " Minutes = 11", + " Seconds = 38.3", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 41°22'5.0\"N, 8°11'38.3\"W", + "FINAL ANSWER: 41°22'5.0\"N, 8°11'38.3\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Saint Andrews", + "source_format": "decimal_degrees", + "source_string": "56.338710, -2.799020", + "target_format": "DMS", + "ground_truth": { + "target_string": "56°20'19.4\"N, 2°47'56.5\"W", + "latitude": 56.33871, + "longitude": -2.79902 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 56.338710, -2.799020", + " Latitude: 56.33871°", + " Longitude: -2.79902°", + "Step 2: Convert latitude to DMS", + " Degrees = 56", + " Minutes = int((56.338710 - 56) × 60) = 20", + " Seconds = ((56.338710 - 56) × 60 - 20) × 60 = 19.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 2", + " Minutes = 47", + " Seconds = 56.5", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 56°20'19.4\"N, 2°47'56.5\"W", + "FINAL ANSWER: 56°20'19.4\"N, 2°47'56.5\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Troitsk", + "source_format": "DMS", + "source_string": "54°5'32.1\"N, 61°34'3.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "54.092240, 61.567560", + "latitude": 54.09224, + "longitude": 61.56756 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 54°5'32.1\"N, 61°34'3.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 54.09224°", + "Step 4: Calculate longitude", + " Longitude: 61.56756°", + "FINAL ANSWER: 54.092240, 61.567560" + ] + }, + { + "task": "format_conversion", + "location_name": "Mauá", + "source_format": "DMS", + "source_string": "23°40'4.0\"S, 46°27'41.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-23.667780, -46.461390", + "latitude": -23.66778, + "longitude": -46.46139 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 23°40'4.0\"S, 46°27'41.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -23.66778°", + "Step 4: Calculate longitude", + " Longitude: -46.46139°", + "FINAL ANSWER: -23.667780, -46.461390" + ] + }, + { + "task": "format_conversion", + "location_name": "Kirovsk", + "source_format": "decimal_degrees", + "source_string": "59.880020, 30.995490", + "target_format": "DMS", + "ground_truth": { + "target_string": "59°52'48.1\"N, 30°59'43.8\"E", + "latitude": 59.88002, + "longitude": 30.99549 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 59.880020, 30.995490", + " Latitude: 59.88002°", + " Longitude: 30.99549°", + "Step 2: Convert latitude to DMS", + " Degrees = 59", + " Minutes = int((59.880020 - 59) × 60) = 52", + " Seconds = ((59.880020 - 59) × 60 - 52) × 60 = 48.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 30", + " Minutes = 59", + " Seconds = 43.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 59°52'48.1\"N, 30°59'43.8\"E", + "FINAL ANSWER: 59°52'48.1\"N, 30°59'43.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Udumalaippettai", + "source_format": "decimal_degrees", + "source_string": "10.588060, 77.247790", + "target_format": "DMS", + "ground_truth": { + "target_string": "10°35'17.0\"N, 77°14'52.0\"E", + "latitude": 10.58806, + "longitude": 77.24779 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 10.588060, 77.247790", + " Latitude: 10.58806°", + " Longitude: 77.24779°", + "Step 2: Convert latitude to DMS", + " Degrees = 10", + " Minutes = int((10.588060 - 10) × 60) = 35", + " Seconds = ((10.588060 - 10) × 60 - 35) × 60 = 17.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 77", + " Minutes = 14", + " Seconds = 52.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 10°35'17.0\"N, 77°14'52.0\"E", + "FINAL ANSWER: 10°35'17.0\"N, 77°14'52.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Doetinchem", + "source_format": "decimal_degrees", + "source_string": "51.965000, 6.288890", + "target_format": "DMS", + "ground_truth": { + "target_string": "51°57'54.0\"N, 6°17'20.0\"E", + "latitude": 51.965, + "longitude": 6.28889 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 51.965000, 6.288890", + " Latitude: 51.965°", + " Longitude: 6.28889°", + "Step 2: Convert latitude to DMS", + " Degrees = 51", + " Minutes = int((51.965000 - 51) × 60) = 57", + " Seconds = ((51.965000 - 51) × 60 - 57) × 60 = 54.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 6", + " Minutes = 17", + " Seconds = 20.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 51°57'54.0\"N, 6°17'20.0\"E", + "FINAL ANSWER: 51°57'54.0\"N, 6°17'20.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Fridley", + "source_format": "decimal_degrees", + "source_string": "45.086080, -93.263280", + "target_format": "DMS", + "ground_truth": { + "target_string": "45°5'9.9\"N, 93°15'47.8\"W", + "latitude": 45.08608, + "longitude": -93.26328 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 45.086080, -93.263280", + " Latitude: 45.08608°", + " Longitude: -93.26328°", + "Step 2: Convert latitude to DMS", + " Degrees = 45", + " Minutes = int((45.086080 - 45) × 60) = 5", + " Seconds = ((45.086080 - 45) × 60 - 5) × 60 = 9.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 93", + " Minutes = 15", + " Seconds = 47.8", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 45°5'9.9\"N, 93°15'47.8\"W", + "FINAL ANSWER: 45°5'9.9\"N, 93°15'47.8\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Jirapa", + "source_format": "decimal_degrees", + "source_string": "10.536890, -2.701550", + "target_format": "DMS", + "ground_truth": { + "target_string": "10°32'12.8\"N, 2°42'5.6\"W", + "latitude": 10.53689, + "longitude": -2.70155 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 10.536890, -2.701550", + " Latitude: 10.53689°", + " Longitude: -2.70155°", + "Step 2: Convert latitude to DMS", + " Degrees = 10", + " Minutes = int((10.536890 - 10) × 60) = 32", + " Seconds = ((10.536890 - 10) × 60 - 32) × 60 = 12.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 2", + " Minutes = 42", + " Seconds = 5.6", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 10°32'12.8\"N, 2°42'5.6\"W", + "FINAL ANSWER: 10°32'12.8\"N, 2°42'5.6\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Al Shamkhah City", + "source_format": "decimal_degrees", + "source_string": "24.392680, 54.707790", + "target_format": "DMS", + "ground_truth": { + "target_string": "24°23'33.6\"N, 54°42'28.0\"E", + "latitude": 24.39268, + "longitude": 54.70779 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 24.392680, 54.707790", + " Latitude: 24.39268°", + " Longitude: 54.70779°", + "Step 2: Convert latitude to DMS", + " Degrees = 24", + " Minutes = int((24.392680 - 24) × 60) = 23", + " Seconds = ((24.392680 - 24) × 60 - 23) × 60 = 33.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 54", + " Minutes = 42", + " Seconds = 28.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 24°23'33.6\"N, 54°42'28.0\"E", + "FINAL ANSWER: 24°23'33.6\"N, 54°42'28.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Itanhaém", + "source_format": "DMS", + "source_string": "24°10'59.0\"S, 46°47'20.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-24.183060, -46.788890", + "latitude": -24.18306, + "longitude": -46.78889 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 24°10'59.0\"S, 46°47'20.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -24.18306°", + "Step 4: Calculate longitude", + " Longitude: -46.78889°", + "FINAL ANSWER: -24.183060, -46.788890" + ] + }, + { + "task": "format_conversion", + "location_name": "Catamayo", + "source_format": "DMS", + "source_string": "3°59'11.8\"S, 79°21'27.5\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-3.986610, -79.357630", + "latitude": -3.98661, + "longitude": -79.35763 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 3°59'11.8\"S, 79°21'27.5\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -3.98661°", + "Step 4: Calculate longitude", + " Longitude: -79.35763°", + "FINAL ANSWER: -3.986610, -79.357630" + ] + }, + { + "task": "format_conversion", + "location_name": "Meckenheim", + "source_format": "decimal_degrees", + "source_string": "50.623880, 7.029420", + "target_format": "DMS", + "ground_truth": { + "target_string": "50°37'26.0\"N, 7°1'45.9\"E", + "latitude": 50.62388, + "longitude": 7.02942 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 50.623880, 7.029420", + " Latitude: 50.62388°", + " Longitude: 7.02942°", + "Step 2: Convert latitude to DMS", + " Degrees = 50", + " Minutes = int((50.623880 - 50) × 60) = 37", + " Seconds = ((50.623880 - 50) × 60 - 37) × 60 = 26.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 7", + " Minutes = 1", + " Seconds = 45.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 50°37'26.0\"N, 7°1'45.9\"E", + "FINAL ANSWER: 50°37'26.0\"N, 7°1'45.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Fleurus", + "source_format": "decimal_degrees", + "source_string": "50.483510, 4.550060", + "target_format": "DMS", + "ground_truth": { + "target_string": "50°29'0.6\"N, 4°33'0.2\"E", + "latitude": 50.48351, + "longitude": 4.55006 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 50.483510, 4.550060", + " Latitude: 50.48351°", + " Longitude: 4.55006°", + "Step 2: Convert latitude to DMS", + " Degrees = 50", + " Minutes = int((50.483510 - 50) × 60) = 29", + " Seconds = ((50.483510 - 50) × 60 - 29) × 60 = 0.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 4", + " Minutes = 33", + " Seconds = 0.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 50°29'0.6\"N, 4°33'0.2\"E", + "FINAL ANSWER: 50°29'0.6\"N, 4°33'0.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Zentsujichó", + "source_format": "decimal_degrees", + "source_string": "34.226990, 133.777910", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°13'37.2\"N, 133°46'40.5\"E", + "latitude": 34.22699, + "longitude": 133.77791 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 34.226990, 133.777910", + " Latitude: 34.22699°", + " Longitude: 133.77791°", + "Step 2: Convert latitude to DMS", + " Degrees = 34", + " Minutes = int((34.226990 - 34) × 60) = 13", + " Seconds = ((34.226990 - 34) × 60 - 13) × 60 = 37.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 133", + " Minutes = 46", + " Seconds = 40.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 34°13'37.2\"N, 133°46'40.5\"E", + "FINAL ANSWER: 34°13'37.2\"N, 133°46'40.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Srīperumbūdūr", + "source_format": "DMS", + "source_string": "12°58'3.5\"N, 79°56'31.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "12.967630, 79.941970", + "latitude": 12.96763, + "longitude": 79.94197 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 12°58'3.5\"N, 79°56'31.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 12.96763°", + "Step 4: Calculate longitude", + " Longitude: 79.94197°", + "FINAL ANSWER: 12.967630, 79.941970" + ] + }, + { + "task": "format_conversion", + "location_name": "Oberasbach", + "source_format": "decimal_degrees", + "source_string": "49.422750, 10.957660", + "target_format": "DMS", + "ground_truth": { + "target_string": "49°25'21.9\"N, 10°57'27.6\"E", + "latitude": 49.42275, + "longitude": 10.95766 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 49.422750, 10.957660", + " Latitude: 49.42275°", + " Longitude: 10.95766°", + "Step 2: Convert latitude to DMS", + " Degrees = 49", + " Minutes = int((49.422750 - 49) × 60) = 25", + " Seconds = ((49.422750 - 49) × 60 - 25) × 60 = 21.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 10", + " Minutes = 57", + " Seconds = 27.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 49°25'21.9\"N, 10°57'27.6\"E", + "FINAL ANSWER: 49°25'21.9\"N, 10°57'27.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "San Marcos", + "source_format": "decimal_degrees", + "source_string": "14.964370, -91.794860", + "target_format": "DMS", + "ground_truth": { + "target_string": "14°57'51.7\"N, 91°47'41.5\"W", + "latitude": 14.96437, + "longitude": -91.79486 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 14.964370, -91.794860", + " Latitude: 14.96437°", + " Longitude: -91.79486°", + "Step 2: Convert latitude to DMS", + " Degrees = 14", + " Minutes = int((14.964370 - 14) × 60) = 57", + " Seconds = ((14.964370 - 14) × 60 - 57) × 60 = 51.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 91", + " Minutes = 47", + " Seconds = 41.5", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 14°57'51.7\"N, 91°47'41.5\"W", + "FINAL ANSWER: 14°57'51.7\"N, 91°47'41.5\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Newburg", + "source_format": "DMS", + "source_string": "38°9'36.3\"N, 85°39'34.8\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "38.160070, -85.659680", + "latitude": 38.16007, + "longitude": -85.65968 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 38°9'36.3\"N, 85°39'34.8\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 38.16007°", + "Step 4: Calculate longitude", + " Longitude: -85.65968°", + "FINAL ANSWER: 38.160070, -85.659680" + ] + }, + { + "task": "format_conversion", + "location_name": "Missérété", + "source_format": "DMS", + "source_string": "6°33'31.4\"N, 2°35'26.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "6.558720, 2.590630", + "latitude": 6.55872, + "longitude": 2.59063 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 6°33'31.4\"N, 2°35'26.3\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 6.55872°", + "Step 4: Calculate longitude", + " Longitude: 2.59063°", + "FINAL ANSWER: 6.558720, 2.590630" + ] + }, + { + "task": "format_conversion", + "location_name": "Casalnuovo di Napoli", + "source_format": "DMS", + "source_string": "40°54'34.9\"N, 14°20'31.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.909690, 14.342050", + "latitude": 40.90969, + "longitude": 14.34205 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°54'34.9\"N, 14°20'31.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 40.90969°", + "Step 4: Calculate longitude", + " Longitude: 14.34205°", + "FINAL ANSWER: 40.909690, 14.342050" + ] + }, + { + "task": "format_conversion", + "location_name": "Mattoon", + "source_format": "decimal_degrees", + "source_string": "39.483090, -88.372830", + "target_format": "DMS", + "ground_truth": { + "target_string": "39°28'59.1\"N, 88°22'22.2\"W", + "latitude": 39.48309, + "longitude": -88.37283 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 39.483090, -88.372830", + " Latitude: 39.48309°", + " Longitude: -88.37283°", + "Step 2: Convert latitude to DMS", + " Degrees = 39", + " Minutes = int((39.483090 - 39) × 60) = 28", + " Seconds = ((39.483090 - 39) × 60 - 28) × 60 = 59.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 88", + " Minutes = 22", + " Seconds = 22.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 39°28'59.1\"N, 88°22'22.2\"W", + "FINAL ANSWER: 39°28'59.1\"N, 88°22'22.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Shahdadpur", + "source_format": "decimal_degrees", + "source_string": "25.925390, 68.622800", + "target_format": "DMS", + "ground_truth": { + "target_string": "25°55'31.4\"N, 68°37'22.1\"E", + "latitude": 25.92539, + "longitude": 68.6228 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 25.925390, 68.622800", + " Latitude: 25.92539°", + " Longitude: 68.6228°", + "Step 2: Convert latitude to DMS", + " Degrees = 25", + " Minutes = int((25.925390 - 25) × 60) = 55", + " Seconds = ((25.925390 - 25) × 60 - 55) × 60 = 31.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 68", + " Minutes = 37", + " Seconds = 22.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 25°55'31.4\"N, 68°37'22.1\"E", + "FINAL ANSWER: 25°55'31.4\"N, 68°37'22.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Madison", + "source_format": "DMS", + "source_string": "34°41'57.3\"N, 86°44'54.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "34.699260, -86.748330", + "latitude": 34.69926, + "longitude": -86.74833 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 34°41'57.3\"N, 86°44'54.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 34.69926°", + "Step 4: Calculate longitude", + " Longitude: -86.74833°", + "FINAL ANSWER: 34.699260, -86.748330" + ] + }, + { + "task": "format_conversion", + "location_name": "Elmont", + "source_format": "decimal_degrees", + "source_string": "40.700940, -73.712910", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°42'3.4\"N, 73°42'46.5\"W", + "latitude": 40.70094, + "longitude": -73.71291 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.700940, -73.712910", + " Latitude: 40.70094°", + " Longitude: -73.71291°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.700940 - 40) × 60) = 42", + " Seconds = ((40.700940 - 40) × 60 - 42) × 60 = 3.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 73", + " Minutes = 42", + " Seconds = 46.5", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 40°42'3.4\"N, 73°42'46.5\"W", + "FINAL ANSWER: 40°42'3.4\"N, 73°42'46.5\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Saint John’s", + "source_format": "DMS", + "source_string": "17°7'15.5\"N, 61°50'35.8\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "17.120960, -61.843290", + "latitude": 17.12096, + "longitude": -61.84329 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 17°7'15.5\"N, 61°50'35.8\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 17.12096°", + "Step 4: Calculate longitude", + " Longitude: -61.84329°", + "FINAL ANSWER: 17.120960, -61.843290" + ] + }, + { + "task": "format_conversion", + "location_name": "Tierra Blanca", + "source_format": "decimal_degrees", + "source_string": "18.447710, -96.359120", + "target_format": "DMS", + "ground_truth": { + "target_string": "18°26'51.8\"N, 96°21'32.8\"W", + "latitude": 18.44771, + "longitude": -96.35912 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 18.447710, -96.359120", + " Latitude: 18.44771°", + " Longitude: -96.35912°", + "Step 2: Convert latitude to DMS", + " Degrees = 18", + " Minutes = int((18.447710 - 18) × 60) = 26", + " Seconds = ((18.447710 - 18) × 60 - 26) × 60 = 51.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 96", + " Minutes = 21", + " Seconds = 32.8", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 18°26'51.8\"N, 96°21'32.8\"W", + "FINAL ANSWER: 18°26'51.8\"N, 96°21'32.8\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "North Bay Shore", + "source_format": "decimal_degrees", + "source_string": "40.753000, -73.260200", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°45'10.8\"N, 73°15'36.7\"W", + "latitude": 40.753, + "longitude": -73.2602 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.753000, -73.260200", + " Latitude: 40.753°", + " Longitude: -73.2602°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.753000 - 40) × 60) = 45", + " Seconds = ((40.753000 - 40) × 60 - 45) × 60 = 10.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 73", + " Minutes = 15", + " Seconds = 36.7", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 40°45'10.8\"N, 73°15'36.7\"W", + "FINAL ANSWER: 40°45'10.8\"N, 73°15'36.7\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Saint George", + "source_format": "DMS", + "source_string": "37°6'14.9\"N, 113°35'2.8\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "37.104150, -113.584120", + "latitude": 37.10415, + "longitude": -113.58412 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 37°6'14.9\"N, 113°35'2.8\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 37.10415°", + "Step 4: Calculate longitude", + " Longitude: -113.58412°", + "FINAL ANSWER: 37.104150, -113.584120" + ] + }, + { + "task": "format_conversion", + "location_name": "Pýrgos", + "source_format": "DMS", + "source_string": "37°40'30.5\"N, 21°26'27.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "37.675130, 21.441020", + "latitude": 37.67513, + "longitude": 21.44102 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 37°40'30.5\"N, 21°26'27.7\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 37.67513°", + "Step 4: Calculate longitude", + " Longitude: 21.44102°", + "FINAL ANSWER: 37.675130, 21.441020" + ] + }, + { + "task": "format_conversion", + "location_name": "Northampton", + "source_format": "decimal_degrees", + "source_string": "52.250000, -0.883330", + "target_format": "DMS", + "ground_truth": { + "target_string": "52°15'0.0\"N, 0°52'60.0\"W", + "latitude": 52.25, + "longitude": -0.88333 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 52.250000, -0.883330", + " Latitude: 52.25°", + " Longitude: -0.88333°", + "Step 2: Convert latitude to DMS", + " Degrees = 52", + " Minutes = int((52.250000 - 52) × 60) = 15", + " Seconds = ((52.250000 - 52) × 60 - 15) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 0", + " Minutes = 52", + " Seconds = 60.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 52°15'0.0\"N, 0°52'60.0\"W", + "FINAL ANSWER: 52°15'0.0\"N, 0°52'60.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Río Guayabal de Yateras", + "source_format": "decimal_degrees", + "source_string": "20.366670, -75.016670", + "target_format": "DMS", + "ground_truth": { + "target_string": "20°22'0.0\"N, 75°1'0.0\"W", + "latitude": 20.36667, + "longitude": -75.01667 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 20.366670, -75.016670", + " Latitude: 20.36667°", + " Longitude: -75.01667°", + "Step 2: Convert latitude to DMS", + " Degrees = 20", + " Minutes = int((20.366670 - 20) × 60) = 22", + " Seconds = ((20.366670 - 20) × 60 - 22) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 75", + " Minutes = 1", + " Seconds = 0.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 20°22'0.0\"N, 75°1'0.0\"W", + "FINAL ANSWER: 20°22'0.0\"N, 75°1'0.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Baeza", + "source_format": "DMS", + "source_string": "37°59'37.8\"N, 3°28'15.7\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "37.993840, -3.471030", + "latitude": 37.99384, + "longitude": -3.47103 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 37°59'37.8\"N, 3°28'15.7\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 37.99384°", + "Step 4: Calculate longitude", + " Longitude: -3.47103°", + "FINAL ANSWER: 37.993840, -3.471030" + ] + }, + { + "task": "format_conversion", + "location_name": "Jaggayyapeta", + "source_format": "DMS", + "source_string": "16°53'37.7\"N, 80°5'53.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "16.893800, 80.098070", + "latitude": 16.8938, + "longitude": 80.09807 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 16°53'37.7\"N, 80°5'53.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 16.8938°", + "Step 4: Calculate longitude", + " Longitude: 80.09807°", + "FINAL ANSWER: 16.893800, 80.098070" + ] + }, + { + "task": "format_conversion", + "location_name": "Santa Rita do Passa Quatro", + "source_format": "decimal_degrees", + "source_string": "-21.710280, -47.478060", + "target_format": "DMS", + "ground_truth": { + "target_string": "21°42'37.0\"S, 47°28'41.0\"W", + "latitude": -21.71028, + "longitude": -47.47806 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -21.710280, -47.478060", + " Latitude: -21.71028°", + " Longitude: -47.47806°", + "Step 2: Convert latitude to DMS", + " Degrees = 21", + " Minutes = int((21.710280 - 21) × 60) = 42", + " Seconds = ((21.710280 - 21) × 60 - 42) × 60 = 37.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 47", + " Minutes = 28", + " Seconds = 41.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 21°42'37.0\"S, 47°28'41.0\"W", + "FINAL ANSWER: 21°42'37.0\"S, 47°28'41.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Tartagal", + "source_format": "decimal_degrees", + "source_string": "-22.516820, -63.805600", + "target_format": "DMS", + "ground_truth": { + "target_string": "22°31'0.6\"S, 63°48'20.2\"W", + "latitude": -22.51682, + "longitude": -63.8056 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -22.516820, -63.805600", + " Latitude: -22.51682°", + " Longitude: -63.8056°", + "Step 2: Convert latitude to DMS", + " Degrees = 22", + " Minutes = int((22.516820 - 22) × 60) = 31", + " Seconds = ((22.516820 - 22) × 60 - 31) × 60 = 0.6", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 63", + " Minutes = 48", + " Seconds = 20.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 22°31'0.6\"S, 63°48'20.2\"W", + "FINAL ANSWER: 22°31'0.6\"S, 63°48'20.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Liwale", + "source_format": "decimal_degrees", + "source_string": "-9.766670, 37.933330", + "target_format": "DMS", + "ground_truth": { + "target_string": "9°46'0.0\"S, 37°55'60.0\"E", + "latitude": -9.76667, + "longitude": 37.93333 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -9.766670, 37.933330", + " Latitude: -9.76667°", + " Longitude: 37.93333°", + "Step 2: Convert latitude to DMS", + " Degrees = 9", + " Minutes = int((9.766670 - 9) × 60) = 46", + " Seconds = ((9.766670 - 9) × 60 - 46) × 60 = 0.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 37", + " Minutes = 55", + " Seconds = 60.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 9°46'0.0\"S, 37°55'60.0\"E", + "FINAL ANSWER: 9°46'0.0\"S, 37°55'60.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Sakai", + "source_format": "decimal_degrees", + "source_string": "36.147300, 136.194080", + "target_format": "DMS", + "ground_truth": { + "target_string": "36°8'50.3\"N, 136°11'38.7\"E", + "latitude": 36.1473, + "longitude": 136.19408 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 36.147300, 136.194080", + " Latitude: 36.1473°", + " Longitude: 136.19408°", + "Step 2: Convert latitude to DMS", + " Degrees = 36", + " Minutes = int((36.147300 - 36) × 60) = 8", + " Seconds = ((36.147300 - 36) × 60 - 8) × 60 = 50.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 136", + " Minutes = 11", + " Seconds = 38.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 36°8'50.3\"N, 136°11'38.7\"E", + "FINAL ANSWER: 36°8'50.3\"N, 136°11'38.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Paramonga", + "source_format": "decimal_degrees", + "source_string": "-10.666670, -77.833330", + "target_format": "DMS", + "ground_truth": { + "target_string": "10°40'0.0\"S, 77°49'60.0\"W", + "latitude": -10.66667, + "longitude": -77.83333 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -10.666670, -77.833330", + " Latitude: -10.66667°", + " Longitude: -77.83333°", + "Step 2: Convert latitude to DMS", + " Degrees = 10", + " Minutes = int((10.666670 - 10) × 60) = 40", + " Seconds = ((10.666670 - 10) × 60 - 40) × 60 = 0.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 77", + " Minutes = 49", + " Seconds = 60.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 10°40'0.0\"S, 77°49'60.0\"W", + "FINAL ANSWER: 10°40'0.0\"S, 77°49'60.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Berkane", + "source_format": "decimal_degrees", + "source_string": "34.920000, -2.320000", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°55'12.0\"N, 2°19'12.0\"W", + "latitude": 34.92, + "longitude": -2.32 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 34.920000, -2.320000", + " Latitude: 34.92°", + " Longitude: -2.32°", + "Step 2: Convert latitude to DMS", + " Degrees = 34", + " Minutes = int((34.920000 - 34) × 60) = 55", + " Seconds = ((34.920000 - 34) × 60 - 55) × 60 = 12.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 2", + " Minutes = 19", + " Seconds = 12.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 34°55'12.0\"N, 2°19'12.0\"W", + "FINAL ANSWER: 34°55'12.0\"N, 2°19'12.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "San Carlos", + "source_format": "decimal_degrees", + "source_string": "-34.791230, -54.918240", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°47'28.4\"S, 54°55'5.7\"W", + "latitude": -34.79123, + "longitude": -54.91824 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -34.791230, -54.918240", + " Latitude: -34.79123°", + " Longitude: -54.91824°", + "Step 2: Convert latitude to DMS", + " Degrees = 34", + " Minutes = int((34.791230 - 34) × 60) = 47", + " Seconds = ((34.791230 - 34) × 60 - 47) × 60 = 28.4", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 54", + " Minutes = 55", + " Seconds = 5.7", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 34°47'28.4\"S, 54°55'5.7\"W", + "FINAL ANSWER: 34°47'28.4\"S, 54°55'5.7\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Jāfarābād", + "source_format": "decimal_degrees", + "source_string": "20.866110, 71.366060", + "target_format": "DMS", + "ground_truth": { + "target_string": "20°51'58.0\"N, 71°21'57.8\"E", + "latitude": 20.86611, + "longitude": 71.36606 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 20.866110, 71.366060", + " Latitude: 20.86611°", + " Longitude: 71.36606°", + "Step 2: Convert latitude to DMS", + " Degrees = 20", + " Minutes = int((20.866110 - 20) × 60) = 51", + " Seconds = ((20.866110 - 20) × 60 - 51) × 60 = 58.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 71", + " Minutes = 21", + " Seconds = 57.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 20°51'58.0\"N, 71°21'57.8\"E", + "FINAL ANSWER: 20°51'58.0\"N, 71°21'57.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Fabriano", + "source_format": "DMS", + "source_string": "43°20'21.9\"N, 12°54'11.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "43.339410, 12.903270", + "latitude": 43.33941, + "longitude": 12.90327 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 43°20'21.9\"N, 12°54'11.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 43.33941°", + "Step 4: Calculate longitude", + " Longitude: 12.90327°", + "FINAL ANSWER: 43.339410, 12.903270" + ] + }, + { + "task": "format_conversion", + "location_name": "Kantai", + "source_format": "DMS", + "source_string": "26°12'51.2\"N, 85°17'51.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "26.214210, 85.297490", + "latitude": 26.21421, + "longitude": 85.29749 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 26°12'51.2\"N, 85°17'51.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 26.21421°", + "Step 4: Calculate longitude", + " Longitude: 85.29749°", + "FINAL ANSWER: 26.214210, 85.297490" + ] + }, + { + "task": "format_conversion", + "location_name": "San Po Kong", + "source_format": "DMS", + "source_string": "22°20'7.7\"N, 114°11'48.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "22.335460, 114.196690", + "latitude": 22.33546, + "longitude": 114.19669 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 22°20'7.7\"N, 114°11'48.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 22.33546°", + "Step 4: Calculate longitude", + " Longitude: 114.19669°", + "FINAL ANSWER: 22.335460, 114.196690" + ] + }, + { + "task": "format_conversion", + "location_name": "Baruun-Urt", + "source_format": "DMS", + "source_string": "46°40'50.0\"N, 113°16'45.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "46.680560, 113.279170", + "latitude": 46.68056, + "longitude": 113.27917 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 46°40'50.0\"N, 113°16'45.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 46.68056°", + "Step 4: Calculate longitude", + " Longitude: 113.27917°", + "FINAL ANSWER: 46.680560, 113.279170" + ] + }, + { + "task": "format_conversion", + "location_name": "Ensley", + "source_format": "DMS", + "source_string": "30°31'7.7\"N, 87°16'21.9\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "30.518810, -87.272750", + "latitude": 30.51881, + "longitude": -87.27275 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 30°31'7.7\"N, 87°16'21.9\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 30.51881°", + "Step 4: Calculate longitude", + " Longitude: -87.27275°", + "FINAL ANSWER: 30.518810, -87.272750" + ] + }, + { + "task": "format_conversion", + "location_name": "Norton", + "source_format": "DMS", + "source_string": "17°52'60.0\"S, 30°41'60.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-17.883330, 30.700000", + "latitude": -17.88333, + "longitude": 30.7 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 17°52'60.0\"S, 30°41'60.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -17.88333°", + "Step 4: Calculate longitude", + " Longitude: 30.7°", + "FINAL ANSWER: -17.883330, 30.700000" + ] + }, + { + "task": "format_conversion", + "location_name": "Vespasiano", + "source_format": "decimal_degrees", + "source_string": "-19.691940, -43.923330", + "target_format": "DMS", + "ground_truth": { + "target_string": "19°41'31.0\"S, 43°55'24.0\"W", + "latitude": -19.69194, + "longitude": -43.92333 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -19.691940, -43.923330", + " Latitude: -19.69194°", + " Longitude: -43.92333°", + "Step 2: Convert latitude to DMS", + " Degrees = 19", + " Minutes = int((19.691940 - 19) × 60) = 41", + " Seconds = ((19.691940 - 19) × 60 - 41) × 60 = 31.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 43", + " Minutes = 55", + " Seconds = 24.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 19°41'31.0\"S, 43°55'24.0\"W", + "FINAL ANSWER: 19°41'31.0\"S, 43°55'24.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Campinápolis", + "source_format": "decimal_degrees", + "source_string": "-14.541140, -52.795080", + "target_format": "DMS", + "ground_truth": { + "target_string": "14°32'28.1\"S, 52°47'42.3\"W", + "latitude": -14.54114, + "longitude": -52.79508 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -14.541140, -52.795080", + " Latitude: -14.54114°", + " Longitude: -52.79508°", + "Step 2: Convert latitude to DMS", + " Degrees = 14", + " Minutes = int((14.541140 - 14) × 60) = 32", + " Seconds = ((14.541140 - 14) × 60 - 32) × 60 = 28.1", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 52", + " Minutes = 47", + " Seconds = 42.3", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 14°32'28.1\"S, 52°47'42.3\"W", + "FINAL ANSWER: 14°32'28.1\"S, 52°47'42.3\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Mācherla", + "source_format": "decimal_degrees", + "source_string": "16.476350, 79.435330", + "target_format": "DMS", + "ground_truth": { + "target_string": "16°28'34.9\"N, 79°26'7.2\"E", + "latitude": 16.47635, + "longitude": 79.43533 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 16.476350, 79.435330", + " Latitude: 16.47635°", + " Longitude: 79.43533°", + "Step 2: Convert latitude to DMS", + " Degrees = 16", + " Minutes = int((16.476350 - 16) × 60) = 28", + " Seconds = ((16.476350 - 16) × 60 - 28) × 60 = 34.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 79", + " Minutes = 26", + " Seconds = 7.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 16°28'34.9\"N, 79°26'7.2\"E", + "FINAL ANSWER: 16°28'34.9\"N, 79°26'7.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Agboville", + "source_format": "decimal_degrees", + "source_string": "5.928010, -4.213190", + "target_format": "DMS", + "ground_truth": { + "target_string": "5°55'40.8\"N, 4°12'47.5\"W", + "latitude": 5.92801, + "longitude": -4.21319 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 5.928010, -4.213190", + " Latitude: 5.92801°", + " Longitude: -4.21319°", + "Step 2: Convert latitude to DMS", + " Degrees = 5", + " Minutes = int((5.928010 - 5) × 60) = 55", + " Seconds = ((5.928010 - 5) × 60 - 55) × 60 = 40.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 4", + " Minutes = 12", + " Seconds = 47.5", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 5°55'40.8\"N, 4°12'47.5\"W", + "FINAL ANSWER: 5°55'40.8\"N, 4°12'47.5\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Köneürgench", + "source_format": "DMS", + "source_string": "42°19'39.8\"N, 59°9'15.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "42.327730, 59.154420", + "latitude": 42.32773, + "longitude": 59.15442 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 42°19'39.8\"N, 59°9'15.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 42.32773°", + "Step 4: Calculate longitude", + " Longitude: 59.15442°", + "FINAL ANSWER: 42.327730, 59.154420" + ] + }, + { + "task": "format_conversion", + "location_name": "Menuma", + "source_format": "DMS", + "source_string": "36°13'20.8\"N, 139°22'55.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "36.222450, 139.382050", + "latitude": 36.22245, + "longitude": 139.38205 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 36°13'20.8\"N, 139°22'55.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 36.22245°", + "Step 4: Calculate longitude", + " Longitude: 139.38205°", + "FINAL ANSWER: 36.222450, 139.382050" + ] + }, + { + "task": "format_conversion", + "location_name": "Hāveri", + "source_format": "DMS", + "source_string": "14°47'36.7\"N, 75°24'16.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "14.793540, 75.404480", + "latitude": 14.79354, + "longitude": 75.40448 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 14°47'36.7\"N, 75°24'16.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 14.79354°", + "Step 4: Calculate longitude", + " Longitude: 75.40448°", + "FINAL ANSWER: 14.793540, 75.404480" + ] + }, + { + "task": "format_conversion", + "location_name": "Annex", + "source_format": "DD", + "source_string": "43.671590, -79.404000", + "target_format": "DMS", + "ground_truth": { + "target_string": "43°40'17.7\"N, 79°24'14.4\"W", + "latitude": 43.67159, + "longitude": -79.404 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: 43.671590, -79.404000", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 43°40'17.7\"N, 79°24'14.4\"W", + "FINAL ANSWER: 43°40'17.7\"N, 79°24'14.4\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Río Grande", + "source_format": "DMS", + "source_string": "19°40'0.0\"N, 70°46'0.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "19.666670, -70.766670", + "latitude": 19.66667, + "longitude": -70.76667 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 19°40'0.0\"N, 70°46'0.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 19.66667°", + "Step 4: Calculate longitude", + " Longitude: -70.76667°", + "FINAL ANSWER: 19.666670, -70.766670" + ] + }, + { + "task": "format_conversion", + "location_name": "San Juan Ixtayopan", + "source_format": "DMS", + "source_string": "19°13'54.7\"N, 98°59'55.2\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "19.231870, -98.998670", + "latitude": 19.23187, + "longitude": -98.99867 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 19°13'54.7\"N, 98°59'55.2\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 19.23187°", + "Step 4: Calculate longitude", + " Longitude: -98.99867°", + "FINAL ANSWER: 19.231870, -98.998670" + ] + }, + { + "task": "format_conversion", + "location_name": "Yei", + "source_format": "decimal_degrees", + "source_string": "4.094440, 30.676390", + "target_format": "DMS", + "ground_truth": { + "target_string": "4°5'40.0\"N, 30°40'35.0\"E", + "latitude": 4.09444, + "longitude": 30.67639 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 4.094440, 30.676390", + " Latitude: 4.09444°", + " Longitude: 30.67639°", + "Step 2: Convert latitude to DMS", + " Degrees = 4", + " Minutes = int((4.094440 - 4) × 60) = 5", + " Seconds = ((4.094440 - 4) × 60 - 5) × 60 = 40.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 30", + " Minutes = 40", + " Seconds = 35.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 4°5'40.0\"N, 30°40'35.0\"E", + "FINAL ANSWER: 4°5'40.0\"N, 30°40'35.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Istra", + "source_format": "DMS", + "source_string": "55°55'11.2\"N, 36°52'7.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "55.919790, 36.868760", + "latitude": 55.91979, + "longitude": 36.86876 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 55°55'11.2\"N, 36°52'7.5\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 55.91979°", + "Step 4: Calculate longitude", + " Longitude: 36.86876°", + "FINAL ANSWER: 55.919790, 36.868760" + ] + }, + { + "task": "format_conversion", + "location_name": "Lorica", + "source_format": "decimal_degrees", + "source_string": "9.236480, -75.813500", + "target_format": "DMS", + "ground_truth": { + "target_string": "9°14'11.3\"N, 75°48'48.6\"W", + "latitude": 9.23648, + "longitude": -75.8135 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 9.236480, -75.813500", + " Latitude: 9.23648°", + " Longitude: -75.8135°", + "Step 2: Convert latitude to DMS", + " Degrees = 9", + " Minutes = int((9.236480 - 9) × 60) = 14", + " Seconds = ((9.236480 - 9) × 60 - 14) × 60 = 11.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 75", + " Minutes = 48", + " Seconds = 48.6", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 9°14'11.3\"N, 75°48'48.6\"W", + "FINAL ANSWER: 9°14'11.3\"N, 75°48'48.6\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Jhānsi", + "source_format": "DD", + "source_string": "25.458870, 78.579940", + "target_format": "DMS", + "ground_truth": { + "target_string": "25°27'31.9\"N, 78°34'47.8\"E", + "latitude": 25.45887, + "longitude": 78.57994 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: 25.458870, 78.579940", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 25°27'31.9\"N, 78°34'47.8\"E", + "FINAL ANSWER: 25°27'31.9\"N, 78°34'47.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Chanaje", + "source_format": "DMS", + "source_string": "18°51'40.7\"N, 72°57'9.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "18.861310, 72.952570", + "latitude": 18.86131, + "longitude": 72.95257 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 18°51'40.7\"N, 72°57'9.3\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 18.86131°", + "Step 4: Calculate longitude", + " Longitude: 72.95257°", + "FINAL ANSWER: 18.861310, 72.952570" + ] + }, + { + "task": "format_conversion", + "location_name": "San Giovanni a Teduccio", + "source_format": "decimal_degrees", + "source_string": "40.838080, 14.306060", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°50'17.1\"N, 14°18'21.8\"E", + "latitude": 40.83808, + "longitude": 14.30606 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.838080, 14.306060", + " Latitude: 40.83808°", + " Longitude: 14.30606°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.838080 - 40) × 60) = 50", + " Seconds = ((40.838080 - 40) × 60 - 50) × 60 = 17.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 14", + " Minutes = 18", + " Seconds = 21.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 40°50'17.1\"N, 14°18'21.8\"E", + "FINAL ANSWER: 40°50'17.1\"N, 14°18'21.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Zhanhe", + "source_format": "decimal_degrees", + "source_string": "26.858900, 100.914000", + "target_format": "DMS", + "ground_truth": { + "target_string": "26°51'32.0\"N, 100°54'50.4\"E", + "latitude": 26.8589, + "longitude": 100.914 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 26.858900, 100.914000", + " Latitude: 26.8589°", + " Longitude: 100.914°", + "Step 2: Convert latitude to DMS", + " Degrees = 26", + " Minutes = int((26.858900 - 26) × 60) = 51", + " Seconds = ((26.858900 - 26) × 60 - 51) × 60 = 32.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 100", + " Minutes = 54", + " Seconds = 50.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 26°51'32.0\"N, 100°54'50.4\"E", + "FINAL ANSWER: 26°51'32.0\"N, 100°54'50.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Icheon-si", + "source_format": "decimal_degrees", + "source_string": "37.279170, 127.442500", + "target_format": "DMS", + "ground_truth": { + "target_string": "37°16'45.0\"N, 127°26'33.0\"E", + "latitude": 37.27917, + "longitude": 127.4425 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 37.279170, 127.442500", + " Latitude: 37.27917°", + " Longitude: 127.4425°", + "Step 2: Convert latitude to DMS", + " Degrees = 37", + " Minutes = int((37.279170 - 37) × 60) = 16", + " Seconds = ((37.279170 - 37) × 60 - 16) × 60 = 45.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 127", + " Minutes = 26", + " Seconds = 33.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 37°16'45.0\"N, 127°26'33.0\"E", + "FINAL ANSWER: 37°16'45.0\"N, 127°26'33.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Djakotomé", + "source_format": "decimal_degrees", + "source_string": "6.899100, 1.716180", + "target_format": "DMS", + "ground_truth": { + "target_string": "6°53'56.8\"N, 1°42'58.2\"E", + "latitude": 6.8991, + "longitude": 1.71618 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 6.899100, 1.716180", + " Latitude: 6.8991°", + " Longitude: 1.71618°", + "Step 2: Convert latitude to DMS", + " Degrees = 6", + " Minutes = int((6.899100 - 6) × 60) = 53", + " Seconds = ((6.899100 - 6) × 60 - 53) × 60 = 56.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 1", + " Minutes = 42", + " Seconds = 58.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 6°53'56.8\"N, 1°42'58.2\"E", + "FINAL ANSWER: 6°53'56.8\"N, 1°42'58.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Mamburao", + "source_format": "decimal_degrees", + "source_string": "13.223300, 120.596000", + "target_format": "DMS", + "ground_truth": { + "target_string": "13°13'23.9\"N, 120°35'45.6\"E", + "latitude": 13.2233, + "longitude": 120.596 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 13.223300, 120.596000", + " Latitude: 13.2233°", + " Longitude: 120.596°", + "Step 2: Convert latitude to DMS", + " Degrees = 13", + " Minutes = int((13.223300 - 13) × 60) = 13", + " Seconds = ((13.223300 - 13) × 60 - 13) × 60 = 23.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 120", + " Minutes = 35", + " Seconds = 45.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 13°13'23.9\"N, 120°35'45.6\"E", + "FINAL ANSWER: 13°13'23.9\"N, 120°35'45.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Sumbawanga", + "source_format": "decimal_degrees", + "source_string": "-7.966670, 31.616670", + "target_format": "DMS", + "ground_truth": { + "target_string": "7°58'0.0\"S, 31°37'0.0\"E", + "latitude": -7.96667, + "longitude": 31.61667 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -7.966670, 31.616670", + " Latitude: -7.96667°", + " Longitude: 31.61667°", + "Step 2: Convert latitude to DMS", + " Degrees = 7", + " Minutes = int((7.966670 - 7) × 60) = 58", + " Seconds = ((7.966670 - 7) × 60 - 58) × 60 = 0.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 31", + " Minutes = 37", + " Seconds = 0.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 7°58'0.0\"S, 31°37'0.0\"E", + "FINAL ANSWER: 7°58'0.0\"S, 31°37'0.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Shakhtinsk", + "source_format": "DMS", + "source_string": "49°42'25.7\"N, 72°35'35.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "49.707130, 72.593210", + "latitude": 49.70713, + "longitude": 72.59321 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 49°42'25.7\"N, 72°35'35.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 49.70713°", + "Step 4: Calculate longitude", + " Longitude: 72.59321°", + "FINAL ANSWER: 49.707130, 72.593210" + ] + }, + { + "task": "format_conversion", + "location_name": "Ocala", + "source_format": "decimal_degrees", + "source_string": "29.187200, -82.140090", + "target_format": "DMS", + "ground_truth": { + "target_string": "29°11'13.9\"N, 82°8'24.3\"W", + "latitude": 29.1872, + "longitude": -82.14009 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 29.187200, -82.140090", + " Latitude: 29.1872°", + " Longitude: -82.14009°", + "Step 2: Convert latitude to DMS", + " Degrees = 29", + " Minutes = int((29.187200 - 29) × 60) = 11", + " Seconds = ((29.187200 - 29) × 60 - 11) × 60 = 13.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 82", + " Minutes = 8", + " Seconds = 24.3", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 29°11'13.9\"N, 82°8'24.3\"W", + "FINAL ANSWER: 29°11'13.9\"N, 82°8'24.3\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Dapaong", + "source_format": "decimal_degrees", + "source_string": "10.862250, 0.207620", + "target_format": "DMS", + "ground_truth": { + "target_string": "10°51'44.1\"N, 0°12'27.4\"E", + "latitude": 10.86225, + "longitude": 0.20762 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 10.862250, 0.207620", + " Latitude: 10.86225°", + " Longitude: 0.20762°", + "Step 2: Convert latitude to DMS", + " Degrees = 10", + " Minutes = int((10.862250 - 10) × 60) = 51", + " Seconds = ((10.862250 - 10) × 60 - 51) × 60 = 44.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 0", + " Minutes = 12", + " Seconds = 27.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 10°51'44.1\"N, 0°12'27.4\"E", + "FINAL ANSWER: 10°51'44.1\"N, 0°12'27.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Bankra", + "source_format": "DMS", + "source_string": "22°36'10.5\"N, 88°16'39.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "22.602910, 88.277510", + "latitude": 22.60291, + "longitude": 88.27751 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 22°36'10.5\"N, 88°16'39.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 22.60291°", + "Step 4: Calculate longitude", + " Longitude: 88.27751°", + "FINAL ANSWER: 22.602910, 88.277510" + ] + }, + { + "task": "format_conversion", + "location_name": "Jhanjhārpur", + "source_format": "DMS", + "source_string": "26°15'52.8\"N, 86°16'47.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "26.264670, 86.279930", + "latitude": 26.26467, + "longitude": 86.27993 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 26°15'52.8\"N, 86°16'47.7\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 26.26467°", + "Step 4: Calculate longitude", + " Longitude: 86.27993°", + "FINAL ANSWER: 26.264670, 86.279930" + ] + }, + { + "task": "format_conversion", + "location_name": "Vadipatti", + "source_format": "decimal_degrees", + "source_string": "10.084810, 77.961130", + "target_format": "DMS", + "ground_truth": { + "target_string": "10°5'5.3\"N, 77°57'40.1\"E", + "latitude": 10.08481, + "longitude": 77.96113 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 10.084810, 77.961130", + " Latitude: 10.08481°", + " Longitude: 77.96113°", + "Step 2: Convert latitude to DMS", + " Degrees = 10", + " Minutes = int((10.084810 - 10) × 60) = 5", + " Seconds = ((10.084810 - 10) × 60 - 5) × 60 = 5.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 77", + " Minutes = 57", + " Seconds = 40.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 10°5'5.3\"N, 77°57'40.1\"E", + "FINAL ANSWER: 10°5'5.3\"N, 77°57'40.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Intich’o", + "source_format": "DMS", + "source_string": "14°16'44.0\"N, 39°8'60.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "14.278890, 39.150000", + "latitude": 14.27889, + "longitude": 39.15 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 14°16'44.0\"N, 39°8'60.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 14.27889°", + "Step 4: Calculate longitude", + " Longitude: 39.15°", + "FINAL ANSWER: 14.278890, 39.150000" + ] + }, + { + "task": "format_conversion", + "location_name": "Bareli", + "source_format": "DMS", + "source_string": "23°0'16.0\"N, 78°13'48.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "23.004450, 78.230100", + "latitude": 23.00445, + "longitude": 78.2301 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 23°0'16.0\"N, 78°13'48.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 23.00445°", + "Step 4: Calculate longitude", + " Longitude: 78.2301°", + "FINAL ANSWER: 23.004450, 78.230100" + ] + }, + { + "task": "format_conversion", + "location_name": "Lyon 01", + "source_format": "decimal_degrees", + "source_string": "45.767580, 4.834500", + "target_format": "DMS", + "ground_truth": { + "target_string": "45°46'3.3\"N, 4°50'4.2\"E", + "latitude": 45.76758, + "longitude": 4.8345 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 45.767580, 4.834500", + " Latitude: 45.76758°", + " Longitude: 4.8345°", + "Step 2: Convert latitude to DMS", + " Degrees = 45", + " Minutes = int((45.767580 - 45) × 60) = 46", + " Seconds = ((45.767580 - 45) × 60 - 46) × 60 = 3.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 4", + " Minutes = 50", + " Seconds = 4.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 45°46'3.3\"N, 4°50'4.2\"E", + "FINAL ANSWER: 45°46'3.3\"N, 4°50'4.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Henderson", + "source_format": "decimal_degrees", + "source_string": "-36.880120, 174.619750", + "target_format": "DMS", + "ground_truth": { + "target_string": "36°52'48.4\"S, 174°37'11.1\"E", + "latitude": -36.88012, + "longitude": 174.61975 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -36.880120, 174.619750", + " Latitude: -36.88012°", + " Longitude: 174.61975°", + "Step 2: Convert latitude to DMS", + " Degrees = 36", + " Minutes = int((36.880120 - 36) × 60) = 52", + " Seconds = ((36.880120 - 36) × 60 - 52) × 60 = 48.4", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 174", + " Minutes = 37", + " Seconds = 11.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 36°52'48.4\"S, 174°37'11.1\"E", + "FINAL ANSWER: 36°52'48.4\"S, 174°37'11.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Yima", + "source_format": "decimal_degrees", + "source_string": "34.738060, 111.883890", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°44'17.0\"N, 111°53'2.0\"E", + "latitude": 34.73806, + "longitude": 111.88389 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 34.738060, 111.883890", + " Latitude: 34.73806°", + " Longitude: 111.88389°", + "Step 2: Convert latitude to DMS", + " Degrees = 34", + " Minutes = int((34.738060 - 34) × 60) = 44", + " Seconds = ((34.738060 - 34) × 60 - 44) × 60 = 17.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 111", + " Minutes = 53", + " Seconds = 2.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 34°44'17.0\"N, 111°53'2.0\"E", + "FINAL ANSWER: 34°44'17.0\"N, 111°53'2.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Saint-Omer", + "source_format": "DMS", + "source_string": "50°44'54.0\"N, 2°15'39.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "50.748340, 2.260910", + "latitude": 50.74834, + "longitude": 2.26091 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 50°44'54.0\"N, 2°15'39.3\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 50.74834°", + "Step 4: Calculate longitude", + " Longitude: 2.26091°", + "FINAL ANSWER: 50.748340, 2.260910" + ] + }, + { + "task": "format_conversion", + "location_name": "Kobuleti", + "source_format": "decimal_degrees", + "source_string": "41.832830, 41.778230", + "target_format": "DMS", + "ground_truth": { + "target_string": "41°49'58.2\"N, 41°46'41.6\"E", + "latitude": 41.83283, + "longitude": 41.77823 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 41.832830, 41.778230", + " Latitude: 41.83283°", + " Longitude: 41.77823°", + "Step 2: Convert latitude to DMS", + " Degrees = 41", + " Minutes = int((41.832830 - 41) × 60) = 49", + " Seconds = ((41.832830 - 41) × 60 - 49) × 60 = 58.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 41", + " Minutes = 46", + " Seconds = 41.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 41°49'58.2\"N, 41°46'41.6\"E", + "FINAL ANSWER: 41°49'58.2\"N, 41°46'41.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kadod", + "source_format": "decimal_degrees", + "source_string": "21.217170, 73.219720", + "target_format": "DMS", + "ground_truth": { + "target_string": "21°13'1.8\"N, 73°13'11.0\"E", + "latitude": 21.21717, + "longitude": 73.21972 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 21.217170, 73.219720", + " Latitude: 21.21717°", + " Longitude: 73.21972°", + "Step 2: Convert latitude to DMS", + " Degrees = 21", + " Minutes = int((21.217170 - 21) × 60) = 13", + " Seconds = ((21.217170 - 21) × 60 - 13) × 60 = 1.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 73", + " Minutes = 13", + " Seconds = 11.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 21°13'1.8\"N, 73°13'11.0\"E", + "FINAL ANSWER: 21°13'1.8\"N, 73°13'11.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "São Tomé", + "source_format": "DMS", + "source_string": "0°20'15.2\"N, 6°43'47.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "0.337560, 6.729900", + "latitude": 0.33756, + "longitude": 6.7299 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 0°20'15.2\"N, 6°43'47.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 0.33756°", + "Step 4: Calculate longitude", + " Longitude: 6.7299°", + "FINAL ANSWER: 0.337560, 6.729900" + ] + }, + { + "task": "format_conversion", + "location_name": "São Miguel dos Campos", + "source_format": "decimal_degrees", + "source_string": "-9.781110, -36.093610", + "target_format": "DMS", + "ground_truth": { + "target_string": "9°46'52.0\"S, 36°5'37.0\"W", + "latitude": -9.78111, + "longitude": -36.09361 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -9.781110, -36.093610", + " Latitude: -9.78111°", + " Longitude: -36.09361°", + "Step 2: Convert latitude to DMS", + " Degrees = 9", + " Minutes = int((9.781110 - 9) × 60) = 46", + " Seconds = ((9.781110 - 9) × 60 - 46) × 60 = 52.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 36", + " Minutes = 5", + " Seconds = 37.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 9°46'52.0\"S, 36°5'37.0\"W", + "FINAL ANSWER: 9°46'52.0\"S, 36°5'37.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Daokou", + "source_format": "decimal_degrees", + "source_string": "35.568950, 114.515930", + "target_format": "DMS", + "ground_truth": { + "target_string": "35°34'8.2\"N, 114°30'57.3\"E", + "latitude": 35.56895, + "longitude": 114.51593 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 35.568950, 114.515930", + " Latitude: 35.56895°", + " Longitude: 114.51593°", + "Step 2: Convert latitude to DMS", + " Degrees = 35", + " Minutes = int((35.568950 - 35) × 60) = 34", + " Seconds = ((35.568950 - 35) × 60 - 34) × 60 = 8.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 114", + " Minutes = 30", + " Seconds = 57.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 35°34'8.2\"N, 114°30'57.3\"E", + "FINAL ANSWER: 35°34'8.2\"N, 114°30'57.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Yengisar", + "source_format": "decimal_degrees", + "source_string": "38.925830, 76.171390", + "target_format": "DMS", + "ground_truth": { + "target_string": "38°55'33.0\"N, 76°10'17.0\"E", + "latitude": 38.92583, + "longitude": 76.17139 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 38.925830, 76.171390", + " Latitude: 38.92583°", + " Longitude: 76.17139°", + "Step 2: Convert latitude to DMS", + " Degrees = 38", + " Minutes = int((38.925830 - 38) × 60) = 55", + " Seconds = ((38.925830 - 38) × 60 - 55) × 60 = 33.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 76", + " Minutes = 10", + " Seconds = 17.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 38°55'33.0\"N, 76°10'17.0\"E", + "FINAL ANSWER: 38°55'33.0\"N, 76°10'17.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Barpeta Road", + "source_format": "decimal_degrees", + "source_string": "26.502840, 90.969370", + "target_format": "DMS", + "ground_truth": { + "target_string": "26°30'10.2\"N, 90°58'9.7\"E", + "latitude": 26.50284, + "longitude": 90.96937 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 26.502840, 90.969370", + " Latitude: 26.50284°", + " Longitude: 90.96937°", + "Step 2: Convert latitude to DMS", + " Degrees = 26", + " Minutes = int((26.502840 - 26) × 60) = 30", + " Seconds = ((26.502840 - 26) × 60 - 30) × 60 = 10.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 90", + " Minutes = 58", + " Seconds = 9.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 26°30'10.2\"N, 90°58'9.7\"E", + "FINAL ANSWER: 26°30'10.2\"N, 90°58'9.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Farnham", + "source_format": "decimal_degrees", + "source_string": "51.214440, -0.800540", + "target_format": "DMS", + "ground_truth": { + "target_string": "51°12'52.0\"N, 0°48'1.9\"W", + "latitude": 51.21444, + "longitude": -0.80054 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 51.214440, -0.800540", + " Latitude: 51.21444°", + " Longitude: -0.80054°", + "Step 2: Convert latitude to DMS", + " Degrees = 51", + " Minutes = int((51.214440 - 51) × 60) = 12", + " Seconds = ((51.214440 - 51) × 60 - 12) × 60 = 52.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 0", + " Minutes = 48", + " Seconds = 1.9", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 51°12'52.0\"N, 0°48'1.9\"W", + "FINAL ANSWER: 51°12'52.0\"N, 0°48'1.9\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Castro Alves", + "source_format": "DMS", + "source_string": "12°45'56.0\"S, 39°25'42.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-12.765560, -39.428330", + "latitude": -12.76556, + "longitude": -39.42833 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 12°45'56.0\"S, 39°25'42.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -12.76556°", + "Step 4: Calculate longitude", + " Longitude: -39.42833°", + "FINAL ANSWER: -12.765560, -39.428330" + ] + }, + { + "task": "format_conversion", + "location_name": "Kamwenge", + "source_format": "decimal_degrees", + "source_string": "0.186600, 30.453930", + "target_format": "DMS", + "ground_truth": { + "target_string": "0°11'11.8\"N, 30°27'14.1\"E", + "latitude": 0.1866, + "longitude": 30.45393 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 0.186600, 30.453930", + " Latitude: 0.1866°", + " Longitude: 30.45393°", + "Step 2: Convert latitude to DMS", + " Degrees = 0", + " Minutes = int((0.186600 - 0) × 60) = 11", + " Seconds = ((0.186600 - 0) × 60 - 11) × 60 = 11.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 30", + " Minutes = 27", + " Seconds = 14.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 0°11'11.8\"N, 30°27'14.1\"E", + "FINAL ANSWER: 0°11'11.8\"N, 30°27'14.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Vranje", + "source_format": "decimal_degrees", + "source_string": "42.551390, 21.900280", + "target_format": "DMS", + "ground_truth": { + "target_string": "42°33'5.0\"N, 21°54'1.0\"E", + "latitude": 42.55139, + "longitude": 21.90028 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 42.551390, 21.900280", + " Latitude: 42.55139°", + " Longitude: 21.90028°", + "Step 2: Convert latitude to DMS", + " Degrees = 42", + " Minutes = int((42.551390 - 42) × 60) = 33", + " Seconds = ((42.551390 - 42) × 60 - 33) × 60 = 5.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 21", + " Minutes = 54", + " Seconds = 1.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 42°33'5.0\"N, 21°54'1.0\"E", + "FINAL ANSWER: 42°33'5.0\"N, 21°54'1.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kawaminami", + "source_format": "DMS", + "source_string": "32°10'60.0\"N, 131°31'0.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "32.183330, 131.516670", + "latitude": 32.18333, + "longitude": 131.51667 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 32°10'60.0\"N, 131°31'0.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 32.18333°", + "Step 4: Calculate longitude", + " Longitude: 131.51667°", + "FINAL ANSWER: 32.183330, 131.516670" + ] + }, + { + "task": "format_conversion", + "location_name": "Ladysmith", + "source_format": "decimal_degrees", + "source_string": "-28.558740, 29.778960", + "target_format": "DMS", + "ground_truth": { + "target_string": "28°33'31.5\"S, 29°46'44.3\"E", + "latitude": -28.55874, + "longitude": 29.77896 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -28.558740, 29.778960", + " Latitude: -28.55874°", + " Longitude: 29.77896°", + "Step 2: Convert latitude to DMS", + " Degrees = 28", + " Minutes = int((28.558740 - 28) × 60) = 33", + " Seconds = ((28.558740 - 28) × 60 - 33) × 60 = 31.5", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 29", + " Minutes = 46", + " Seconds = 44.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 28°33'31.5\"S, 29°46'44.3\"E", + "FINAL ANSWER: 28°33'31.5\"S, 29°46'44.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Würzburg", + "source_format": "DMS", + "source_string": "49°47'38.1\"N, 9°57'4.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "49.793910, 9.951210", + "latitude": 49.79391, + "longitude": 9.95121 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 49°47'38.1\"N, 9°57'4.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 49.79391°", + "Step 4: Calculate longitude", + " Longitude: 9.95121°", + "FINAL ANSWER: 49.793910, 9.951210" + ] + }, + { + "task": "format_conversion", + "location_name": "Nebbi", + "source_format": "decimal_degrees", + "source_string": "2.478260, 31.088930", + "target_format": "DMS", + "ground_truth": { + "target_string": "2°28'41.7\"N, 31°5'20.1\"E", + "latitude": 2.47826, + "longitude": 31.08893 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 2.478260, 31.088930", + " Latitude: 2.47826°", + " Longitude: 31.08893°", + "Step 2: Convert latitude to DMS", + " Degrees = 2", + " Minutes = int((2.478260 - 2) × 60) = 28", + " Seconds = ((2.478260 - 2) × 60 - 28) × 60 = 41.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 31", + " Minutes = 5", + " Seconds = 20.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 2°28'41.7\"N, 31°5'20.1\"E", + "FINAL ANSWER: 2°28'41.7\"N, 31°5'20.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Namacurra", + "source_format": "decimal_degrees", + "source_string": "-17.491940, 37.028890", + "target_format": "DMS", + "ground_truth": { + "target_string": "17°29'31.0\"S, 37°1'44.0\"E", + "latitude": -17.49194, + "longitude": 37.02889 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -17.491940, 37.028890", + " Latitude: -17.49194°", + " Longitude: 37.02889°", + "Step 2: Convert latitude to DMS", + " Degrees = 17", + " Minutes = int((17.491940 - 17) × 60) = 29", + " Seconds = ((17.491940 - 17) × 60 - 29) × 60 = 31.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 37", + " Minutes = 1", + " Seconds = 44.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 17°29'31.0\"S, 37°1'44.0\"E", + "FINAL ANSWER: 17°29'31.0\"S, 37°1'44.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Tecax", + "source_format": "DMS", + "source_string": "20°12'18.7\"N, 89°17'6.8\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "20.205200, -89.285220", + "latitude": 20.2052, + "longitude": -89.28522 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 20°12'18.7\"N, 89°17'6.8\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 20.2052°", + "Step 4: Calculate longitude", + " Longitude: -89.28522°", + "FINAL ANSWER: 20.205200, -89.285220" + ] + }, + { + "task": "format_conversion", + "location_name": "Nohar", + "source_format": "decimal_degrees", + "source_string": "29.182920, 74.770640", + "target_format": "DMS", + "ground_truth": { + "target_string": "29°10'58.5\"N, 74°46'14.3\"E", + "latitude": 29.18292, + "longitude": 74.77064 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 29.182920, 74.770640", + " Latitude: 29.18292°", + " Longitude: 74.77064°", + "Step 2: Convert latitude to DMS", + " Degrees = 29", + " Minutes = int((29.182920 - 29) × 60) = 10", + " Seconds = ((29.182920 - 29) × 60 - 10) × 60 = 58.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 74", + " Minutes = 46", + " Seconds = 14.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 29°10'58.5\"N, 74°46'14.3\"E", + "FINAL ANSWER: 29°10'58.5\"N, 74°46'14.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Jonesboro", + "source_format": "decimal_degrees", + "source_string": "35.842300, -90.704280", + "target_format": "DMS", + "ground_truth": { + "target_string": "35°50'32.3\"N, 90°42'15.4\"W", + "latitude": 35.8423, + "longitude": -90.70428 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 35.842300, -90.704280", + " Latitude: 35.8423°", + " Longitude: -90.70428°", + "Step 2: Convert latitude to DMS", + " Degrees = 35", + " Minutes = int((35.842300 - 35) × 60) = 50", + " Seconds = ((35.842300 - 35) × 60 - 50) × 60 = 32.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 90", + " Minutes = 42", + " Seconds = 15.4", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 35°50'32.3\"N, 90°42'15.4\"W", + "FINAL ANSWER: 35°50'32.3\"N, 90°42'15.4\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Angoulême", + "source_format": "decimal_degrees", + "source_string": "45.649970, 0.153450", + "target_format": "DMS", + "ground_truth": { + "target_string": "45°38'59.9\"N, 0°9'12.4\"E", + "latitude": 45.64997, + "longitude": 0.15345 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 45.649970, 0.153450", + " Latitude: 45.64997°", + " Longitude: 0.15345°", + "Step 2: Convert latitude to DMS", + " Degrees = 45", + " Minutes = int((45.649970 - 45) × 60) = 38", + " Seconds = ((45.649970 - 45) × 60 - 38) × 60 = 59.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 0", + " Minutes = 9", + " Seconds = 12.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 45°38'59.9\"N, 0°9'12.4\"E", + "FINAL ANSWER: 45°38'59.9\"N, 0°9'12.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Bassano del Grappa", + "source_format": "DMS", + "source_string": "45°45'59.6\"N, 11°43'38.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "45.766560, 11.727390", + "latitude": 45.76656, + "longitude": 11.72739 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 45°45'59.6\"N, 11°43'38.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 45.76656°", + "Step 4: Calculate longitude", + " Longitude: 11.72739°", + "FINAL ANSWER: 45.766560, 11.727390" + ] + }, + { + "task": "format_conversion", + "location_name": "Doncaster", + "source_format": "decimal_degrees", + "source_string": "53.522850, -1.131160", + "target_format": "DMS", + "ground_truth": { + "target_string": "53°31'22.3\"N, 1°7'52.2\"W", + "latitude": 53.52285, + "longitude": -1.13116 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 53.522850, -1.131160", + " Latitude: 53.52285°", + " Longitude: -1.13116°", + "Step 2: Convert latitude to DMS", + " Degrees = 53", + " Minutes = int((53.522850 - 53) × 60) = 31", + " Seconds = ((53.522850 - 53) × 60 - 31) × 60 = 22.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 1", + " Minutes = 7", + " Seconds = 52.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 53°31'22.3\"N, 1°7'52.2\"W", + "FINAL ANSWER: 53°31'22.3\"N, 1°7'52.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Pires do Rio", + "source_format": "DMS", + "source_string": "17°17'59.0\"S, 48°16'46.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-17.299720, -48.279440", + "latitude": -17.29972, + "longitude": -48.27944 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 17°17'59.0\"S, 48°16'46.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -17.29972°", + "Step 4: Calculate longitude", + " Longitude: -48.27944°", + "FINAL ANSWER: -17.299720, -48.279440" + ] + }, + { + "task": "format_conversion", + "location_name": "Portsmouth", + "source_format": "decimal_degrees", + "source_string": "41.602320, -71.250330", + "target_format": "DMS", + "ground_truth": { + "target_string": "41°36'8.4\"N, 71°15'1.2\"W", + "latitude": 41.60232, + "longitude": -71.25033 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 41.602320, -71.250330", + " Latitude: 41.60232°", + " Longitude: -71.25033°", + "Step 2: Convert latitude to DMS", + " Degrees = 41", + " Minutes = int((41.602320 - 41) × 60) = 36", + " Seconds = ((41.602320 - 41) × 60 - 36) × 60 = 8.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 71", + " Minutes = 15", + " Seconds = 1.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 41°36'8.4\"N, 71°15'1.2\"W", + "FINAL ANSWER: 41°36'8.4\"N, 71°15'1.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Gualán", + "source_format": "DMS", + "source_string": "15°7'10.3\"N, 89°21'26.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "15.119520, -89.357210", + "latitude": 15.11952, + "longitude": -89.35721 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 15°7'10.3\"N, 89°21'26.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 15.11952°", + "Step 4: Calculate longitude", + " Longitude: -89.35721°", + "FINAL ANSWER: 15.119520, -89.357210" + ] + }, + { + "task": "format_conversion", + "location_name": "Ragusa", + "source_format": "decimal_degrees", + "source_string": "36.925740, 14.724430", + "target_format": "DMS", + "ground_truth": { + "target_string": "36°55'32.7\"N, 14°43'27.9\"E", + "latitude": 36.92574, + "longitude": 14.72443 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 36.925740, 14.724430", + " Latitude: 36.92574°", + " Longitude: 14.72443°", + "Step 2: Convert latitude to DMS", + " Degrees = 36", + " Minutes = int((36.925740 - 36) × 60) = 55", + " Seconds = ((36.925740 - 36) × 60 - 55) × 60 = 32.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 14", + " Minutes = 43", + " Seconds = 27.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 36°55'32.7\"N, 14°43'27.9\"E", + "FINAL ANSWER: 36°55'32.7\"N, 14°43'27.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Badr Ḩunayn", + "source_format": "DMS", + "source_string": "23°46'58.5\"N, 38°47'25.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "23.782920, 38.790470", + "latitude": 23.78292, + "longitude": 38.79047 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 23°46'58.5\"N, 38°47'25.7\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 23.78292°", + "Step 4: Calculate longitude", + " Longitude: 38.79047°", + "FINAL ANSWER: 23.782920, 38.790470" + ] + }, + { + "task": "format_conversion", + "location_name": "Görele", + "source_format": "DMS", + "source_string": "41°1'51.0\"N, 39°0'11.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "41.030830, 39.003060", + "latitude": 41.03083, + "longitude": 39.00306 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 41°1'51.0\"N, 39°0'11.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 41.03083°", + "Step 4: Calculate longitude", + " Longitude: 39.00306°", + "FINAL ANSWER: 41.030830, 39.003060" + ] + }, + { + "task": "format_conversion", + "location_name": "Asheville", + "source_format": "DMS", + "source_string": "35°36'3.4\"N, 82°33'14.5\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "35.600950, -82.554020", + "latitude": 35.60095, + "longitude": -82.55402 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 35°36'3.4\"N, 82°33'14.5\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 35.60095°", + "Step 4: Calculate longitude", + " Longitude: -82.55402°", + "FINAL ANSWER: 35.600950, -82.554020" + ] + }, + { + "task": "format_conversion", + "location_name": "Nawābganj", + "source_format": "decimal_degrees", + "source_string": "26.931290, 81.198410", + "target_format": "DMS", + "ground_truth": { + "target_string": "26°55'52.6\"N, 81°11'54.3\"E", + "latitude": 26.93129, + "longitude": 81.19841 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 26.931290, 81.198410", + " Latitude: 26.93129°", + " Longitude: 81.19841°", + "Step 2: Convert latitude to DMS", + " Degrees = 26", + " Minutes = int((26.931290 - 26) × 60) = 55", + " Seconds = ((26.931290 - 26) × 60 - 55) × 60 = 52.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 81", + " Minutes = 11", + " Seconds = 54.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 26°55'52.6\"N, 81°11'54.3\"E", + "FINAL ANSWER: 26°55'52.6\"N, 81°11'54.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Calumpit", + "source_format": "DMS", + "source_string": "14°54'59.0\"N, 120°45'57.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "14.916390, 120.765830", + "latitude": 14.91639, + "longitude": 120.76583 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 14°54'59.0\"N, 120°45'57.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 14.91639°", + "Step 4: Calculate longitude", + " Longitude: 120.76583°", + "FINAL ANSWER: 14.916390, 120.765830" + ] + }, + { + "task": "format_conversion", + "location_name": "Pontedera", + "source_format": "DMS", + "source_string": "43°39'41.1\"N, 10°37'50.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "43.661410, 10.630670", + "latitude": 43.66141, + "longitude": 10.63067 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 43°39'41.1\"N, 10°37'50.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 43.66141°", + "Step 4: Calculate longitude", + " Longitude: 10.63067°", + "FINAL ANSWER: 43.661410, 10.630670" + ] + }, + { + "task": "format_conversion", + "location_name": "Tapah Road", + "source_format": "DMS", + "source_string": "4°10'0.0\"N, 101°12'0.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "4.166670, 101.200000", + "latitude": 4.16667, + "longitude": 101.2 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 4°10'0.0\"N, 101°12'0.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 4.16667°", + "Step 4: Calculate longitude", + " Longitude: 101.2°", + "FINAL ANSWER: 4.166670, 101.200000" + ] + }, + { + "task": "format_conversion", + "location_name": "Vitória de Santo Antão", + "source_format": "DMS", + "source_string": "8°7'5.0\"S, 35°17'29.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-8.118060, -35.291390", + "latitude": -8.11806, + "longitude": -35.29139 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 8°7'5.0\"S, 35°17'29.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -8.11806°", + "Step 4: Calculate longitude", + " Longitude: -35.29139°", + "FINAL ANSWER: -8.118060, -35.291390" + ] + }, + { + "task": "format_conversion", + "location_name": "Matam", + "source_format": "decimal_degrees", + "source_string": "15.655870, -13.255440", + "target_format": "DMS", + "ground_truth": { + "target_string": "15°39'21.1\"N, 13°15'19.6\"W", + "latitude": 15.65587, + "longitude": -13.25544 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 15.655870, -13.255440", + " Latitude: 15.65587°", + " Longitude: -13.25544°", + "Step 2: Convert latitude to DMS", + " Degrees = 15", + " Minutes = int((15.655870 - 15) × 60) = 39", + " Seconds = ((15.655870 - 15) × 60 - 39) × 60 = 21.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 13", + " Minutes = 15", + " Seconds = 19.6", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 15°39'21.1\"N, 13°15'19.6\"W", + "FINAL ANSWER: 15°39'21.1\"N, 13°15'19.6\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Puno", + "source_format": "decimal_degrees", + "source_string": "-15.840030, -70.021980", + "target_format": "DMS", + "ground_truth": { + "target_string": "15°50'24.1\"S, 70°1'19.1\"W", + "latitude": -15.84003, + "longitude": -70.02198 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -15.840030, -70.021980", + " Latitude: -15.84003°", + " Longitude: -70.02198°", + "Step 2: Convert latitude to DMS", + " Degrees = 15", + " Minutes = int((15.840030 - 15) × 60) = 50", + " Seconds = ((15.840030 - 15) × 60 - 50) × 60 = 24.1", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 70", + " Minutes = 1", + " Seconds = 19.1", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 15°50'24.1\"S, 70°1'19.1\"W", + "FINAL ANSWER: 15°50'24.1\"S, 70°1'19.1\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Kondotty", + "source_format": "DMS", + "source_string": "11°8'32.3\"N, 75°57'56.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "11.142300, 75.965700", + "latitude": 11.1423, + "longitude": 75.9657 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 11°8'32.3\"N, 75°57'56.5\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 11.1423°", + "Step 4: Calculate longitude", + " Longitude: 75.9657°", + "FINAL ANSWER: 11.142300, 75.965700" + ] + }, + { + "task": "format_conversion", + "location_name": "Lom Sak", + "source_format": "DMS", + "source_string": "16°46'47.4\"N, 101°14'32.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "16.779830, 101.242250", + "latitude": 16.77983, + "longitude": 101.24225 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 16°46'47.4\"N, 101°14'32.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 16.77983°", + "Step 4: Calculate longitude", + " Longitude: 101.24225°", + "FINAL ANSWER: 16.779830, 101.242250" + ] + }, + { + "task": "format_conversion", + "location_name": "Napier", + "source_format": "DMS", + "source_string": "39°29'33.4\"S, 176°54'44.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-39.492600, 176.912330", + "latitude": -39.4926, + "longitude": 176.91233 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 39°29'33.4\"S, 176°54'44.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -39.4926°", + "Step 4: Calculate longitude", + " Longitude: 176.91233°", + "FINAL ANSWER: -39.492600, 176.912330" + ] + }, + { + "task": "format_conversion", + "location_name": "Yoichi", + "source_format": "DMS", + "source_string": "43°12'14.0\"N, 140°46'13.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "43.203890, 140.770280", + "latitude": 43.20389, + "longitude": 140.77028 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 43°12'14.0\"N, 140°46'13.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 43.20389°", + "Step 4: Calculate longitude", + " Longitude: 140.77028°", + "FINAL ANSWER: 43.203890, 140.770280" + ] + }, + { + "task": "format_conversion", + "location_name": "Gogrial", + "source_format": "DMS", + "source_string": "8°31'59.7\"N, 28°6'1.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "8.533240, 28.100370", + "latitude": 8.53324, + "longitude": 28.10037 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 8°31'59.7\"N, 28°6'1.3\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 8.53324°", + "Step 4: Calculate longitude", + " Longitude: 28.10037°", + "FINAL ANSWER: 8.533240, 28.100370" + ] + }, + { + "task": "format_conversion", + "location_name": "Dembech’a", + "source_format": "decimal_degrees", + "source_string": "10.550000, 37.483330", + "target_format": "DMS", + "ground_truth": { + "target_string": "10°33'0.0\"N, 37°28'60.0\"E", + "latitude": 10.55, + "longitude": 37.48333 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 10.550000, 37.483330", + " Latitude: 10.55°", + " Longitude: 37.48333°", + "Step 2: Convert latitude to DMS", + " Degrees = 10", + " Minutes = int((10.550000 - 10) × 60) = 33", + " Seconds = ((10.550000 - 10) × 60 - 33) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 37", + " Minutes = 28", + " Seconds = 60.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 10°33'0.0\"N, 37°28'60.0\"E", + "FINAL ANSWER: 10°33'0.0\"N, 37°28'60.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Fadhigaradle", + "source_format": "decimal_degrees", + "source_string": "6.175590, 45.298660", + "target_format": "DMS", + "ground_truth": { + "target_string": "6°10'32.1\"N, 45°17'55.2\"E", + "latitude": 6.17559, + "longitude": 45.29866 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 6.175590, 45.298660", + " Latitude: 6.17559°", + " Longitude: 45.29866°", + "Step 2: Convert latitude to DMS", + " Degrees = 6", + " Minutes = int((6.175590 - 6) × 60) = 10", + " Seconds = ((6.175590 - 6) × 60 - 10) × 60 = 32.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 45", + " Minutes = 17", + " Seconds = 55.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 6°10'32.1\"N, 45°17'55.2\"E", + "FINAL ANSWER: 6°10'32.1\"N, 45°17'55.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Riverside", + "source_format": "decimal_degrees", + "source_string": "33.953350, -117.396160", + "target_format": "DMS", + "ground_truth": { + "target_string": "33°57'12.1\"N, 117°23'46.2\"W", + "latitude": 33.95335, + "longitude": -117.39616 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 33.953350, -117.396160", + " Latitude: 33.95335°", + " Longitude: -117.39616°", + "Step 2: Convert latitude to DMS", + " Degrees = 33", + " Minutes = int((33.953350 - 33) × 60) = 57", + " Seconds = ((33.953350 - 33) × 60 - 57) × 60 = 12.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 117", + " Minutes = 23", + " Seconds = 46.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 33°57'12.1\"N, 117°23'46.2\"W", + "FINAL ANSWER: 33°57'12.1\"N, 117°23'46.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Qarqūzah", + "source_format": "DMS", + "source_string": "32°44'44.6\"N, 12°50'32.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "32.745720, 12.842340", + "latitude": 32.74572, + "longitude": 12.84234 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 32°44'44.6\"N, 12°50'32.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 32.74572°", + "Step 4: Calculate longitude", + " Longitude: 12.84234°", + "FINAL ANSWER: 32.745720, 12.842340" + ] + }, + { + "task": "format_conversion", + "location_name": "Kotovo", + "source_format": "decimal_degrees", + "source_string": "50.315670, 44.810020", + "target_format": "DMS", + "ground_truth": { + "target_string": "50°18'56.4\"N, 44°48'36.1\"E", + "latitude": 50.31567, + "longitude": 44.81002 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 50.315670, 44.810020", + " Latitude: 50.31567°", + " Longitude: 44.81002°", + "Step 2: Convert latitude to DMS", + " Degrees = 50", + " Minutes = int((50.315670 - 50) × 60) = 18", + " Seconds = ((50.315670 - 50) × 60 - 18) × 60 = 56.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 44", + " Minutes = 48", + " Seconds = 36.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 50°18'56.4\"N, 44°48'36.1\"E", + "FINAL ANSWER: 50°18'56.4\"N, 44°48'36.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Georgetown", + "source_format": "decimal_degrees", + "source_string": "6.804480, -58.155270", + "target_format": "DMS", + "ground_truth": { + "target_string": "6°48'16.1\"N, 58°9'19.0\"W", + "latitude": 6.80448, + "longitude": -58.15527 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 6.804480, -58.155270", + " Latitude: 6.80448°", + " Longitude: -58.15527°", + "Step 2: Convert latitude to DMS", + " Degrees = 6", + " Minutes = int((6.804480 - 6) × 60) = 48", + " Seconds = ((6.804480 - 6) × 60 - 48) × 60 = 16.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 58", + " Minutes = 9", + " Seconds = 19.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 6°48'16.1\"N, 58°9'19.0\"W", + "FINAL ANSWER: 6°48'16.1\"N, 58°9'19.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Chhota Gobindpur", + "source_format": "decimal_degrees", + "source_string": "22.745880, 86.258860", + "target_format": "DMS", + "ground_truth": { + "target_string": "22°44'45.2\"N, 86°15'31.9\"E", + "latitude": 22.74588, + "longitude": 86.25886 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 22.745880, 86.258860", + " Latitude: 22.74588°", + " Longitude: 86.25886°", + "Step 2: Convert latitude to DMS", + " Degrees = 22", + " Minutes = int((22.745880 - 22) × 60) = 44", + " Seconds = ((22.745880 - 22) × 60 - 44) × 60 = 45.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 86", + " Minutes = 15", + " Seconds = 31.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 22°44'45.2\"N, 86°15'31.9\"E", + "FINAL ANSWER: 22°44'45.2\"N, 86°15'31.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Bulacan", + "source_format": "DMS", + "source_string": "14°47'34.0\"N, 120°52'44.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "14.792780, 120.878890", + "latitude": 14.79278, + "longitude": 120.87889 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 14°47'34.0\"N, 120°52'44.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 14.79278°", + "Step 4: Calculate longitude", + " Longitude: 120.87889°", + "FINAL ANSWER: 14.792780, 120.878890" + ] + }, + { + "task": "format_conversion", + "location_name": "Geylang", + "source_format": "DMS", + "source_string": "1°19'10.3\"N, 103°53'12.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "1.319530, 103.886890", + "latitude": 1.31953, + "longitude": 103.88689 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 1°19'10.3\"N, 103°53'12.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 1.31953°", + "Step 4: Calculate longitude", + " Longitude: 103.88689°", + "FINAL ANSWER: 1.319530, 103.886890" + ] + }, + { + "task": "format_conversion", + "location_name": "Fuente del Berro", + "source_format": "decimal_degrees", + "source_string": "40.424780, -3.663790", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°25'29.2\"N, 3°39'49.6\"W", + "latitude": 40.42478, + "longitude": -3.66379 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.424780, -3.663790", + " Latitude: 40.42478°", + " Longitude: -3.66379°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.424780 - 40) × 60) = 25", + " Seconds = ((40.424780 - 40) × 60 - 25) × 60 = 29.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 3", + " Minutes = 39", + " Seconds = 49.6", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 40°25'29.2\"N, 3°39'49.6\"W", + "FINAL ANSWER: 40°25'29.2\"N, 3°39'49.6\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Capitol Riverfront", + "source_format": "DMS", + "source_string": "38°52'40.7\"N, 77°0'11.3\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "38.877960, -77.003140", + "latitude": 38.87796, + "longitude": -77.00314 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 38°52'40.7\"N, 77°0'11.3\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 38.87796°", + "Step 4: Calculate longitude", + " Longitude: -77.00314°", + "FINAL ANSWER: 38.877960, -77.003140" + ] + }, + { + "task": "format_conversion", + "location_name": "Sombrio", + "source_format": "decimal_degrees", + "source_string": "-29.113890, -49.616670", + "target_format": "DMS", + "ground_truth": { + "target_string": "29°6'50.0\"S, 49°37'0.0\"W", + "latitude": -29.11389, + "longitude": -49.61667 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -29.113890, -49.616670", + " Latitude: -29.11389°", + " Longitude: -49.61667°", + "Step 2: Convert latitude to DMS", + " Degrees = 29", + " Minutes = int((29.113890 - 29) × 60) = 6", + " Seconds = ((29.113890 - 29) × 60 - 6) × 60 = 50.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 49", + " Minutes = 37", + " Seconds = 0.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 29°6'50.0\"S, 49°37'0.0\"W", + "FINAL ANSWER: 29°6'50.0\"S, 49°37'0.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Epping", + "source_format": "decimal_degrees", + "source_string": "-37.650000, 145.033330", + "target_format": "DMS", + "ground_truth": { + "target_string": "37°38'60.0\"S, 145°1'60.0\"E", + "latitude": -37.65, + "longitude": 145.03333 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -37.650000, 145.033330", + " Latitude: -37.65°", + " Longitude: 145.03333°", + "Step 2: Convert latitude to DMS", + " Degrees = 37", + " Minutes = int((37.650000 - 37) × 60) = 38", + " Seconds = ((37.650000 - 37) × 60 - 38) × 60 = 60.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 145", + " Minutes = 1", + " Seconds = 60.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 37°38'60.0\"S, 145°1'60.0\"E", + "FINAL ANSWER: 37°38'60.0\"S, 145°1'60.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "São João dos Inhamuns", + "source_format": "decimal_degrees", + "source_string": "-6.000000, -40.283330", + "target_format": "DMS", + "ground_truth": { + "target_string": "6°0'0.0\"S, 40°16'60.0\"W", + "latitude": -6.0, + "longitude": -40.28333 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -6.000000, -40.283330", + " Latitude: -6.0°", + " Longitude: -40.28333°", + "Step 2: Convert latitude to DMS", + " Degrees = 6", + " Minutes = int((6.000000 - 6) × 60) = 0", + " Seconds = ((6.000000 - 6) × 60 - 0) × 60 = 0.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 40", + " Minutes = 16", + " Seconds = 60.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 6°0'0.0\"S, 40°16'60.0\"W", + "FINAL ANSWER: 6°0'0.0\"S, 40°16'60.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Challakere", + "source_format": "decimal_degrees", + "source_string": "14.318000, 76.651650", + "target_format": "DMS", + "ground_truth": { + "target_string": "14°19'4.8\"N, 76°39'5.9\"E", + "latitude": 14.318, + "longitude": 76.65165 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 14.318000, 76.651650", + " Latitude: 14.318°", + " Longitude: 76.65165°", + "Step 2: Convert latitude to DMS", + " Degrees = 14", + " Minutes = int((14.318000 - 14) × 60) = 19", + " Seconds = ((14.318000 - 14) × 60 - 19) × 60 = 4.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 76", + " Minutes = 39", + " Seconds = 5.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 14°19'4.8\"N, 76°39'5.9\"E", + "FINAL ANSWER: 14°19'4.8\"N, 76°39'5.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Ibirama", + "source_format": "DMS", + "source_string": "27°3'25.0\"S, 49°31'4.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-27.056940, -49.517780", + "latitude": -27.05694, + "longitude": -49.51778 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 27°3'25.0\"S, 49°31'4.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -27.05694°", + "Step 4: Calculate longitude", + " Longitude: -49.51778°", + "FINAL ANSWER: -27.056940, -49.517780" + ] + }, + { + "task": "format_conversion", + "location_name": "Grosseto", + "source_format": "DMS", + "source_string": "42°45'46.7\"N, 11°6'33.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "42.762960, 11.109410", + "latitude": 42.76296, + "longitude": 11.10941 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 42°45'46.7\"N, 11°6'33.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 42.76296°", + "Step 4: Calculate longitude", + " Longitude: 11.10941°", + "FINAL ANSWER: 42.762960, 11.109410" + ] + }, + { + "task": "format_conversion", + "location_name": "Lockport", + "source_format": "DMS", + "source_string": "41°35'22.1\"N, 88°3'28.2\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "41.589480, -88.057840", + "latitude": 41.58948, + "longitude": -88.05784 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 41°35'22.1\"N, 88°3'28.2\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 41.58948°", + "Step 4: Calculate longitude", + " Longitude: -88.05784°", + "FINAL ANSWER: 41.589480, -88.057840" + ] + }, + { + "task": "format_conversion", + "location_name": "Newton", + "source_format": "decimal_degrees", + "source_string": "41.699710, -93.047980", + "target_format": "DMS", + "ground_truth": { + "target_string": "41°41'59.0\"N, 93°2'52.7\"W", + "latitude": 41.69971, + "longitude": -93.04798 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 41.699710, -93.047980", + " Latitude: 41.69971°", + " Longitude: -93.04798°", + "Step 2: Convert latitude to DMS", + " Degrees = 41", + " Minutes = int((41.699710 - 41) × 60) = 41", + " Seconds = ((41.699710 - 41) × 60 - 41) × 60 = 59.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 93", + " Minutes = 2", + " Seconds = 52.7", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 41°41'59.0\"N, 93°2'52.7\"W", + "FINAL ANSWER: 41°41'59.0\"N, 93°2'52.7\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Araçoiaba da Serra", + "source_format": "decimal_degrees", + "source_string": "-23.505280, -47.614170", + "target_format": "DMS", + "ground_truth": { + "target_string": "23°30'19.0\"S, 47°36'51.0\"W", + "latitude": -23.50528, + "longitude": -47.61417 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -23.505280, -47.614170", + " Latitude: -23.50528°", + " Longitude: -47.61417°", + "Step 2: Convert latitude to DMS", + " Degrees = 23", + " Minutes = int((23.505280 - 23) × 60) = 30", + " Seconds = ((23.505280 - 23) × 60 - 30) × 60 = 19.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 47", + " Minutes = 36", + " Seconds = 51.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 23°30'19.0\"S, 47°36'51.0\"W", + "FINAL ANSWER: 23°30'19.0\"S, 47°36'51.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Huainan", + "source_format": "DMS", + "source_string": "32°37'35.0\"N, 116°59'49.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "32.626390, 116.996940", + "latitude": 32.62639, + "longitude": 116.99694 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 32°37'35.0\"N, 116°59'49.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 32.62639°", + "Step 4: Calculate longitude", + " Longitude: 116.99694°", + "FINAL ANSWER: 32.626390, 116.996940" + ] + }, + { + "task": "format_conversion", + "location_name": "Changzhou", + "source_format": "decimal_degrees", + "source_string": "31.773590, 119.954010", + "target_format": "DMS", + "ground_truth": { + "target_string": "31°46'24.9\"N, 119°57'14.4\"E", + "latitude": 31.77359, + "longitude": 119.95401 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 31.773590, 119.954010", + " Latitude: 31.77359°", + " Longitude: 119.95401°", + "Step 2: Convert latitude to DMS", + " Degrees = 31", + " Minutes = int((31.773590 - 31) × 60) = 46", + " Seconds = ((31.773590 - 31) × 60 - 46) × 60 = 24.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 119", + " Minutes = 57", + " Seconds = 14.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 31°46'24.9\"N, 119°57'14.4\"E", + "FINAL ANSWER: 31°46'24.9\"N, 119°57'14.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Segamat", + "source_format": "decimal_degrees", + "source_string": "2.514800, 102.815800", + "target_format": "DMS", + "ground_truth": { + "target_string": "2°30'53.3\"N, 102°48'56.9\"E", + "latitude": 2.5148, + "longitude": 102.8158 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 2.514800, 102.815800", + " Latitude: 2.5148°", + " Longitude: 102.8158°", + "Step 2: Convert latitude to DMS", + " Degrees = 2", + " Minutes = int((2.514800 - 2) × 60) = 30", + " Seconds = ((2.514800 - 2) × 60 - 30) × 60 = 53.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 102", + " Minutes = 48", + " Seconds = 56.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 2°30'53.3\"N, 102°48'56.9\"E", + "FINAL ANSWER: 2°30'53.3\"N, 102°48'56.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "West New York", + "source_format": "DMS", + "source_string": "40°47'16.4\"N, 74°0'51.5\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.787880, -74.014310", + "latitude": 40.78788, + "longitude": -74.01431 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°47'16.4\"N, 74°0'51.5\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 40.78788°", + "Step 4: Calculate longitude", + " Longitude: -74.01431°", + "FINAL ANSWER: 40.787880, -74.014310" + ] + }, + { + "task": "format_conversion", + "location_name": "Cabo San Lucas", + "source_format": "DMS", + "source_string": "22°53'27.2\"N, 109°54'44.6\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "22.890880, -109.912380", + "latitude": 22.89088, + "longitude": -109.91238 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 22°53'27.2\"N, 109°54'44.6\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 22.89088°", + "Step 4: Calculate longitude", + " Longitude: -109.91238°", + "FINAL ANSWER: 22.890880, -109.912380" + ] + }, + { + "task": "format_conversion", + "location_name": "Wieluń", + "source_format": "decimal_degrees", + "source_string": "51.220970, 18.569640", + "target_format": "DMS", + "ground_truth": { + "target_string": "51°13'15.5\"N, 18°34'10.7\"E", + "latitude": 51.22097, + "longitude": 18.56964 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 51.220970, 18.569640", + " Latitude: 51.22097°", + " Longitude: 18.56964°", + "Step 2: Convert latitude to DMS", + " Degrees = 51", + " Minutes = int((51.220970 - 51) × 60) = 13", + " Seconds = ((51.220970 - 51) × 60 - 13) × 60 = 15.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 18", + " Minutes = 34", + " Seconds = 10.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 51°13'15.5\"N, 18°34'10.7\"E", + "FINAL ANSWER: 51°13'15.5\"N, 18°34'10.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Brasília", + "source_format": "DMS", + "source_string": "15°46'47.0\"S, 47°55'47.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-15.779720, -47.929720", + "latitude": -15.77972, + "longitude": -47.92972 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 15°46'47.0\"S, 47°55'47.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -15.77972°", + "Step 4: Calculate longitude", + " Longitude: -47.92972°", + "FINAL ANSWER: -15.779720, -47.929720" + ] + }, + { + "task": "format_conversion", + "location_name": "Bunia", + "source_format": "decimal_degrees", + "source_string": "1.559410, 30.252240", + "target_format": "DMS", + "ground_truth": { + "target_string": "1°33'33.9\"N, 30°15'8.1\"E", + "latitude": 1.55941, + "longitude": 30.25224 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 1.559410, 30.252240", + " Latitude: 1.55941°", + " Longitude: 30.25224°", + "Step 2: Convert latitude to DMS", + " Degrees = 1", + " Minutes = int((1.559410 - 1) × 60) = 33", + " Seconds = ((1.559410 - 1) × 60 - 33) × 60 = 33.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 30", + " Minutes = 15", + " Seconds = 8.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 1°33'33.9\"N, 30°15'8.1\"E", + "FINAL ANSWER: 1°33'33.9\"N, 30°15'8.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Villa Nueva", + "source_format": "DMS", + "source_string": "14°31'30.4\"N, 90°35'7.6\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "14.525120, -90.585440", + "latitude": 14.52512, + "longitude": -90.58544 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 14°31'30.4\"N, 90°35'7.6\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 14.52512°", + "Step 4: Calculate longitude", + " Longitude: -90.58544°", + "FINAL ANSWER: 14.525120, -90.585440" + ] + }, + { + "task": "format_conversion", + "location_name": "Villanueva del Pardillo", + "source_format": "decimal_degrees", + "source_string": "40.490140, -3.963830", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°29'24.5\"N, 3°57'49.8\"W", + "latitude": 40.49014, + "longitude": -3.96383 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.490140, -3.963830", + " Latitude: 40.49014°", + " Longitude: -3.96383°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.490140 - 40) × 60) = 29", + " Seconds = ((40.490140 - 40) × 60 - 29) × 60 = 24.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 3", + " Minutes = 57", + " Seconds = 49.8", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 40°29'24.5\"N, 3°57'49.8\"W", + "FINAL ANSWER: 40°29'24.5\"N, 3°57'49.8\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Port-de-Bouc", + "source_format": "decimal_degrees", + "source_string": "43.406570, 4.980900", + "target_format": "DMS", + "ground_truth": { + "target_string": "43°24'23.7\"N, 4°58'51.2\"E", + "latitude": 43.40657, + "longitude": 4.9809 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 43.406570, 4.980900", + " Latitude: 43.40657°", + " Longitude: 4.9809°", + "Step 2: Convert latitude to DMS", + " Degrees = 43", + " Minutes = int((43.406570 - 43) × 60) = 24", + " Seconds = ((43.406570 - 43) × 60 - 24) × 60 = 23.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 4", + " Minutes = 58", + " Seconds = 51.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 43°24'23.7\"N, 4°58'51.2\"E", + "FINAL ANSWER: 43°24'23.7\"N, 4°58'51.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Mahires", + "source_format": "DMS", + "source_string": "34°31'39.0\"N, 10°30'3.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "34.527500, 10.500830", + "latitude": 34.5275, + "longitude": 10.50083 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 34°31'39.0\"N, 10°30'3.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 34.5275°", + "Step 4: Calculate longitude", + " Longitude: 10.50083°", + "FINAL ANSWER: 34.527500, 10.500830" + ] + }, + { + "task": "format_conversion", + "location_name": "Shulin", + "source_format": "decimal_degrees", + "source_string": "24.990850, 121.421990", + "target_format": "DMS", + "ground_truth": { + "target_string": "24°59'27.1\"N, 121°25'19.2\"E", + "latitude": 24.99085, + "longitude": 121.42199 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 24.990850, 121.421990", + " Latitude: 24.99085°", + " Longitude: 121.42199°", + "Step 2: Convert latitude to DMS", + " Degrees = 24", + " Minutes = int((24.990850 - 24) × 60) = 59", + " Seconds = ((24.990850 - 24) × 60 - 59) × 60 = 27.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 121", + " Minutes = 25", + " Seconds = 19.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 24°59'27.1\"N, 121°25'19.2\"E", + "FINAL ANSWER: 24°59'27.1\"N, 121°25'19.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Auch", + "source_format": "decimal_degrees", + "source_string": "43.645610, 0.588560", + "target_format": "DMS", + "ground_truth": { + "target_string": "43°38'44.2\"N, 0°35'18.8\"E", + "latitude": 43.64561, + "longitude": 0.58856 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 43.645610, 0.588560", + " Latitude: 43.64561°", + " Longitude: 0.58856°", + "Step 2: Convert latitude to DMS", + " Degrees = 43", + " Minutes = int((43.645610 - 43) × 60) = 38", + " Seconds = ((43.645610 - 43) × 60 - 38) × 60 = 44.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 0", + " Minutes = 35", + " Seconds = 18.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 43°38'44.2\"N, 0°35'18.8\"E", + "FINAL ANSWER: 43°38'44.2\"N, 0°35'18.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Waterville", + "source_format": "decimal_degrees", + "source_string": "44.552010, -69.631710", + "target_format": "DMS", + "ground_truth": { + "target_string": "44°33'7.2\"N, 69°37'54.2\"W", + "latitude": 44.55201, + "longitude": -69.63171 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 44.552010, -69.631710", + " Latitude: 44.55201°", + " Longitude: -69.63171°", + "Step 2: Convert latitude to DMS", + " Degrees = 44", + " Minutes = int((44.552010 - 44) × 60) = 33", + " Seconds = ((44.552010 - 44) × 60 - 33) × 60 = 7.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 69", + " Minutes = 37", + " Seconds = 54.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 44°33'7.2\"N, 69°37'54.2\"W", + "FINAL ANSWER: 44°33'7.2\"N, 69°37'54.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Kurashiki", + "source_format": "decimal_degrees", + "source_string": "34.583330, 133.766670", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°34'60.0\"N, 133°46'0.0\"E", + "latitude": 34.58333, + "longitude": 133.76667 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 34.583330, 133.766670", + " Latitude: 34.58333°", + " Longitude: 133.76667°", + "Step 2: Convert latitude to DMS", + " Degrees = 34", + " Minutes = int((34.583330 - 34) × 60) = 34", + " Seconds = ((34.583330 - 34) × 60 - 34) × 60 = 60.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 133", + " Minutes = 46", + " Seconds = 0.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 34°34'60.0\"N, 133°46'0.0\"E", + "FINAL ANSWER: 34°34'60.0\"N, 133��46'0.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Zürich (Kreis 9)", + "source_format": "DMS", + "source_string": "47°22'56.8\"N, 8°28'47.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "47.382450, 8.479930", + "latitude": 47.38245, + "longitude": 8.47993 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 47°22'56.8\"N, 8°28'47.7\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 47.38245°", + "Step 4: Calculate longitude", + " Longitude: 8.47993°", + "FINAL ANSWER: 47.382450, 8.479930" + ] + }, + { + "task": "format_conversion", + "location_name": "Kumagunnam", + "source_format": "DMS", + "source_string": "13°9'17.9\"N, 10°38'4.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "13.154980, 10.634680", + "latitude": 13.15498, + "longitude": 10.63468 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 13°9'17.9\"N, 10°38'4.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 13.15498°", + "Step 4: Calculate longitude", + " Longitude: 10.63468°", + "FINAL ANSWER: 13.154980, 10.634680" + ] + }, + { + "task": "format_conversion", + "location_name": "Néa Ionía", + "source_format": "decimal_degrees", + "source_string": "39.379040, 22.927520", + "target_format": "DMS", + "ground_truth": { + "target_string": "39°22'44.5\"N, 22°55'39.1\"E", + "latitude": 39.37904, + "longitude": 22.92752 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 39.379040, 22.927520", + " Latitude: 39.37904°", + " Longitude: 22.92752°", + "Step 2: Convert latitude to DMS", + " Degrees = 39", + " Minutes = int((39.379040 - 39) × 60) = 22", + " Seconds = ((39.379040 - 39) × 60 - 22) × 60 = 44.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 22", + " Minutes = 55", + " Seconds = 39.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 39°22'44.5\"N, 22°55'39.1\"E", + "FINAL ANSWER: 39°22'44.5\"N, 22°55'39.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Wil", + "source_format": "decimal_degrees", + "source_string": "47.461520, 9.045520", + "target_format": "DMS", + "ground_truth": { + "target_string": "47°27'41.5\"N, 9°2'43.9\"E", + "latitude": 47.46152, + "longitude": 9.04552 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 47.461520, 9.045520", + " Latitude: 47.46152°", + " Longitude: 9.04552°", + "Step 2: Convert latitude to DMS", + " Degrees = 47", + " Minutes = int((47.461520 - 47) × 60) = 27", + " Seconds = ((47.461520 - 47) × 60 - 27) × 60 = 41.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 9", + " Minutes = 2", + " Seconds = 43.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 47°27'41.5\"N, 9°2'43.9\"E", + "FINAL ANSWER: 47°27'41.5\"N, 9°2'43.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Bangbontai", + "source_format": "DMS", + "source_string": "13°38'49.9\"N, 100°22'17.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "13.647200, 100.371440", + "latitude": 13.6472, + "longitude": 100.37144 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 13°38'49.9\"N, 100°22'17.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 13.6472°", + "Step 4: Calculate longitude", + " Longitude: 100.37144°", + "FINAL ANSWER: 13.647200, 100.371440" + ] + }, + { + "task": "format_conversion", + "location_name": "Klouékanmè", + "source_format": "decimal_degrees", + "source_string": "6.980280, 1.842220", + "target_format": "DMS", + "ground_truth": { + "target_string": "6°58'49.0\"N, 1°50'32.0\"E", + "latitude": 6.98028, + "longitude": 1.84222 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 6.980280, 1.842220", + " Latitude: 6.98028°", + " Longitude: 1.84222°", + "Step 2: Convert latitude to DMS", + " Degrees = 6", + " Minutes = int((6.980280 - 6) × 60) = 58", + " Seconds = ((6.980280 - 6) × 60 - 58) × 60 = 49.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 1", + " Minutes = 50", + " Seconds = 32.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 6°58'49.0\"N, 1°50'32.0\"E", + "FINAL ANSWER: 6°58'49.0\"N, 1°50'32.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Mahē", + "source_format": "decimal_degrees", + "source_string": "11.701720, 75.534740", + "target_format": "DMS", + "ground_truth": { + "target_string": "11°42'6.2\"N, 75°32'5.1\"E", + "latitude": 11.70172, + "longitude": 75.53474 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 11.701720, 75.534740", + " Latitude: 11.70172°", + " Longitude: 75.53474°", + "Step 2: Convert latitude to DMS", + " Degrees = 11", + " Minutes = int((11.701720 - 11) × 60) = 42", + " Seconds = ((11.701720 - 11) × 60 - 42) × 60 = 6.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 75", + " Minutes = 32", + " Seconds = 5.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 11°42'6.2\"N, 75°32'5.1\"E", + "FINAL ANSWER: 11°42'6.2\"N, 75°32'5.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Chengyang", + "source_format": "decimal_degrees", + "source_string": "35.579440, 118.832780", + "target_format": "DMS", + "ground_truth": { + "target_string": "35°34'46.0\"N, 118°49'58.0\"E", + "latitude": 35.57944, + "longitude": 118.83278 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 35.579440, 118.832780", + " Latitude: 35.57944°", + " Longitude: 118.83278°", + "Step 2: Convert latitude to DMS", + " Degrees = 35", + " Minutes = int((35.579440 - 35) × 60) = 34", + " Seconds = ((35.579440 - 35) × 60 - 34) × 60 = 46.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 118", + " Minutes = 49", + " Seconds = 58.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 35°34'46.0\"N, 118°49'58.0\"E", + "FINAL ANSWER: 35°34'46.0\"N, 118°49'58.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Rafsanjān", + "source_format": "DMS", + "source_string": "30°24'24.1\"N, 55°59'38.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "30.406700, 55.993900", + "latitude": 30.4067, + "longitude": 55.9939 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 30°24'24.1\"N, 55°59'38.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 30.4067°", + "Step 4: Calculate longitude", + " Longitude: 55.9939°", + "FINAL ANSWER: 30.406700, 55.993900" + ] + }, + { + "task": "format_conversion", + "location_name": "Pandharpur", + "source_format": "decimal_degrees", + "source_string": "17.679240, 75.330980", + "target_format": "DMS", + "ground_truth": { + "target_string": "17°40'45.3\"N, 75°19'51.5\"E", + "latitude": 17.67924, + "longitude": 75.33098 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 17.679240, 75.330980", + " Latitude: 17.67924°", + " Longitude: 75.33098°", + "Step 2: Convert latitude to DMS", + " Degrees = 17", + " Minutes = int((17.679240 - 17) × 60) = 40", + " Seconds = ((17.679240 - 17) × 60 - 40) × 60 = 45.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 75", + " Minutes = 19", + " Seconds = 51.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 17°40'45.3\"N, 75°19'51.5\"E", + "FINAL ANSWER: 17°40'45.3\"N, 75°19'51.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Hendersonville", + "source_format": "decimal_degrees", + "source_string": "36.304770, -86.620000", + "target_format": "DMS", + "ground_truth": { + "target_string": "36°18'17.2\"N, 86°37'12.0\"W", + "latitude": 36.30477, + "longitude": -86.62 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 36.304770, -86.620000", + " Latitude: 36.30477°", + " Longitude: -86.62°", + "Step 2: Convert latitude to DMS", + " Degrees = 36", + " Minutes = int((36.304770 - 36) × 60) = 18", + " Seconds = ((36.304770 - 36) × 60 - 18) × 60 = 17.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 86", + " Minutes = 37", + " Seconds = 12.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 36°18'17.2\"N, 86°37'12.0\"W", + "FINAL ANSWER: 36°18'17.2\"N, 86°37'12.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Peddanāyakkanpālaiyam", + "source_format": "DMS", + "source_string": "11°39'3.7\"N, 78°30'31.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "11.651040, 78.508720", + "latitude": 11.65104, + "longitude": 78.50872 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 11°39'3.7\"N, 78°30'31.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 11.65104°", + "Step 4: Calculate longitude", + " Longitude: 78.50872°", + "FINAL ANSWER: 11.651040, 78.508720" + ] + }, + { + "task": "format_conversion", + "location_name": "Siddipet", + "source_format": "decimal_degrees", + "source_string": "18.104830, 78.848580", + "target_format": "DMS", + "ground_truth": { + "target_string": "18°6'17.4\"N, 78°50'54.9\"E", + "latitude": 18.10483, + "longitude": 78.84858 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 18.104830, 78.848580", + " Latitude: 18.10483°", + " Longitude: 78.84858°", + "Step 2: Convert latitude to DMS", + " Degrees = 18", + " Minutes = int((18.104830 - 18) × 60) = 6", + " Seconds = ((18.104830 - 18) × 60 - 6) × 60 = 17.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 78", + " Minutes = 50", + " Seconds = 54.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 18°6'17.4\"N, 78°50'54.9\"E", + "FINAL ANSWER: 18°6'17.4\"N, 78°50'54.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Rego Park", + "source_format": "decimal_degrees", + "source_string": "40.726490, -73.852640", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°43'35.4\"N, 73°51'9.5\"W", + "latitude": 40.72649, + "longitude": -73.85264 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.726490, -73.852640", + " Latitude: 40.72649°", + " Longitude: -73.85264°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.726490 - 40) × 60) = 43", + " Seconds = ((40.726490 - 40) × 60 - 43) × 60 = 35.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 73", + " Minutes = 51", + " Seconds = 9.5", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 40°43'35.4\"N, 73°51'9.5\"W", + "FINAL ANSWER: 40°43'35.4\"N, 73°51'9.5\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Zeya", + "source_format": "DMS", + "source_string": "53°44'9.1\"N, 127°15'21.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "53.735860, 127.255980", + "latitude": 53.73586, + "longitude": 127.25598 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 53°44'9.1\"N, 127°15'21.5\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 53.73586°", + "Step 4: Calculate longitude", + " Longitude: 127.25598°", + "FINAL ANSWER: 53.735860, 127.255980" + ] + }, + { + "task": "format_conversion", + "location_name": "Fiditi", + "source_format": "decimal_degrees", + "source_string": "7.713930, 3.916650", + "target_format": "DMS", + "ground_truth": { + "target_string": "7°42'50.1\"N, 3°54'59.9\"E", + "latitude": 7.71393, + "longitude": 3.91665 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 7.713930, 3.916650", + " Latitude: 7.71393°", + " Longitude: 3.91665°", + "Step 2: Convert latitude to DMS", + " Degrees = 7", + " Minutes = int((7.713930 - 7) × 60) = 42", + " Seconds = ((7.713930 - 7) × 60 - 42) × 60 = 50.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 3", + " Minutes = 54", + " Seconds = 59.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 7°42'50.1\"N, 3°54'59.9\"E", + "FINAL ANSWER: 7°42'50.1\"N, 3°54'59.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Pucallpa", + "source_format": "DMS", + "source_string": "8°22'44.9\"S, 74°33'13.9\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-8.379150, -74.553870", + "latitude": -8.37915, + "longitude": -74.55387 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 8°22'44.9\"S, 74°33'13.9\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -8.37915°", + "Step 4: Calculate longitude", + " Longitude: -74.55387°", + "FINAL ANSWER: -8.379150, -74.553870" + ] + }, + { + "task": "format_conversion", + "location_name": "Diadema", + "source_format": "DMS", + "source_string": "23°41'10.0\"S, 46°37'22.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-23.686110, -46.622780", + "latitude": -23.68611, + "longitude": -46.62278 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 23°41'10.0\"S, 46°37'22.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -23.68611°", + "Step 4: Calculate longitude", + " Longitude: -46.62278°", + "FINAL ANSWER: -23.686110, -46.622780" + ] + }, + { + "task": "format_conversion", + "location_name": "Gustavsberg", + "source_format": "decimal_degrees", + "source_string": "59.326840, 18.389750", + "target_format": "DMS", + "ground_truth": { + "target_string": "59°19'36.6\"N, 18°23'23.1\"E", + "latitude": 59.32684, + "longitude": 18.38975 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 59.326840, 18.389750", + " Latitude: 59.32684°", + " Longitude: 18.38975°", + "Step 2: Convert latitude to DMS", + " Degrees = 59", + " Minutes = int((59.326840 - 59) × 60) = 19", + " Seconds = ((59.326840 - 59) × 60 - 19) × 60 = 36.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 18", + " Minutes = 23", + " Seconds = 23.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 59°19'36.6\"N, 18°23'23.1\"E", + "FINAL ANSWER: 59°19'36.6\"N, 18°23'23.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Oaxaca", + "source_format": "DMS", + "source_string": "17°3'36.9\"N, 96°43'31.6\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "17.060250, -96.725440", + "latitude": 17.06025, + "longitude": -96.72544 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 17°3'36.9\"N, 96°43'31.6\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 17.06025°", + "Step 4: Calculate longitude", + " Longitude: -96.72544°", + "FINAL ANSWER: 17.060250, -96.725440" + ] + }, + { + "task": "format_conversion", + "location_name": "Aistala", + "source_format": "decimal_degrees", + "source_string": "23.180000, 88.580000", + "target_format": "DMS", + "ground_truth": { + "target_string": "23°10'48.0\"N, 88°34'48.0\"E", + "latitude": 23.18, + "longitude": 88.58 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 23.180000, 88.580000", + " Latitude: 23.18°", + " Longitude: 88.58°", + "Step 2: Convert latitude to DMS", + " Degrees = 23", + " Minutes = int((23.180000 - 23) × 60) = 10", + " Seconds = ((23.180000 - 23) × 60 - 10) × 60 = 48.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 88", + " Minutes = 34", + " Seconds = 48.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 23°10'48.0\"N, 88°34'48.0\"E", + "FINAL ANSWER: 23°10'48.0\"N, 88°34'48.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Bečej", + "source_format": "decimal_degrees", + "source_string": "45.616320, 20.033310", + "target_format": "DMS", + "ground_truth": { + "target_string": "45°36'58.8\"N, 20°1'59.9\"E", + "latitude": 45.61632, + "longitude": 20.03331 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 45.616320, 20.033310", + " Latitude: 45.61632°", + " Longitude: 20.03331°", + "Step 2: Convert latitude to DMS", + " Degrees = 45", + " Minutes = int((45.616320 - 45) × 60) = 36", + " Seconds = ((45.616320 - 45) × 60 - 36) × 60 = 58.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 20", + " Minutes = 1", + " Seconds = 59.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 45°36'58.8\"N, 20°1'59.9\"E", + "FINAL ANSWER: 45°36'58.8\"N, 20°1'59.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Rolante", + "source_format": "decimal_degrees", + "source_string": "-29.650560, -50.575830", + "target_format": "DMS", + "ground_truth": { + "target_string": "29°39'2.0\"S, 50°34'33.0\"W", + "latitude": -29.65056, + "longitude": -50.57583 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -29.650560, -50.575830", + " Latitude: -29.65056°", + " Longitude: -50.57583°", + "Step 2: Convert latitude to DMS", + " Degrees = 29", + " Minutes = int((29.650560 - 29) × 60) = 39", + " Seconds = ((29.650560 - 29) × 60 - 39) × 60 = 2.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 50", + " Minutes = 34", + " Seconds = 33.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 29°39'2.0\"S, 50°34'33.0\"W", + "FINAL ANSWER: 29°39'2.0\"S, 50°34'33.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Frankfort", + "source_format": "decimal_degrees", + "source_string": "38.200910, -84.873280", + "target_format": "DMS", + "ground_truth": { + "target_string": "38°12'3.3\"N, 84°52'23.8\"W", + "latitude": 38.20091, + "longitude": -84.87328 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 38.200910, -84.873280", + " Latitude: 38.20091°", + " Longitude: -84.87328°", + "Step 2: Convert latitude to DMS", + " Degrees = 38", + " Minutes = int((38.200910 - 38) × 60) = 12", + " Seconds = ((38.200910 - 38) × 60 - 12) × 60 = 3.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 84", + " Minutes = 52", + " Seconds = 23.8", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 38°12'3.3\"N, 84°52'23.8\"W", + "FINAL ANSWER: 38°12'3.3\"N, 84°52'23.8\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Morros", + "source_format": "decimal_degrees", + "source_string": "-2.864440, -44.039440", + "target_format": "DMS", + "ground_truth": { + "target_string": "2°51'52.0\"S, 44°2'22.0\"W", + "latitude": -2.86444, + "longitude": -44.03944 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -2.864440, -44.039440", + " Latitude: -2.86444°", + " Longitude: -44.03944°", + "Step 2: Convert latitude to DMS", + " Degrees = 2", + " Minutes = int((2.864440 - 2) × 60) = 51", + " Seconds = ((2.864440 - 2) × 60 - 51) × 60 = 52.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 44", + " Minutes = 2", + " Seconds = 22.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 2°51'52.0\"S, 44°2'22.0\"W", + "FINAL ANSWER: 2°51'52.0\"S, 44°2'22.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Biaora", + "source_format": "decimal_degrees", + "source_string": "23.920500, 76.910740", + "target_format": "DMS", + "ground_truth": { + "target_string": "23°55'13.8\"N, 76°54'38.7\"E", + "latitude": 23.9205, + "longitude": 76.91074 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 23.920500, 76.910740", + " Latitude: 23.9205°", + " Longitude: 76.91074°", + "Step 2: Convert latitude to DMS", + " Degrees = 23", + " Minutes = int((23.920500 - 23) × 60) = 55", + " Seconds = ((23.920500 - 23) × 60 - 55) × 60 = 13.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 76", + " Minutes = 54", + " Seconds = 38.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 23°55'13.8\"N, 76°54'38.7\"E", + "FINAL ANSWER: 23°55'13.8\"N, 76°54'38.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Königs Wusterhausen", + "source_format": "DMS", + "source_string": "52°18'5.1\"N, 13°37'58.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "52.301410, 13.633000", + "latitude": 52.30141, + "longitude": 13.633 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 52°18'5.1\"N, 13°37'58.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 52.30141°", + "Step 4: Calculate longitude", + " Longitude: 13.633°", + "FINAL ANSWER: 52.301410, 13.633000" + ] + }, + { + "task": "format_conversion", + "location_name": "Amagasaki", + "source_format": "decimal_degrees", + "source_string": "34.716670, 135.416670", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°43'0.0\"N, 135°25'0.0\"E", + "latitude": 34.71667, + "longitude": 135.41667 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 34.716670, 135.416670", + " Latitude: 34.71667°", + " Longitude: 135.41667°", + "Step 2: Convert latitude to DMS", + " Degrees = 34", + " Minutes = int((34.716670 - 34) × 60) = 43", + " Seconds = ((34.716670 - 34) × 60 - 43) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 135", + " Minutes = 25", + " Seconds = 0.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 34°43'0.0\"N, 135°25'0.0\"E", + "FINAL ANSWER: 34°43'0.0\"N, 135°25'0.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Lancaster", + "source_format": "decimal_degrees", + "source_string": "32.592080, -96.756110", + "target_format": "DMS", + "ground_truth": { + "target_string": "32°35'31.5\"N, 96°45'22.0\"W", + "latitude": 32.59208, + "longitude": -96.75611 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 32.592080, -96.756110", + " Latitude: 32.59208°", + " Longitude: -96.75611°", + "Step 2: Convert latitude to DMS", + " Degrees = 32", + " Minutes = int((32.592080 - 32) × 60) = 35", + " Seconds = ((32.592080 - 32) × 60 - 35) × 60 = 31.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 96", + " Minutes = 45", + " Seconds = 22.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 32°35'31.5\"N, 96°45'22.0\"W", + "FINAL ANSWER: 32°35'31.5\"N, 96°45'22.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Neufchâtel-Est–Lebourgneuf", + "source_format": "decimal_degrees", + "source_string": "46.854360, -71.341910", + "target_format": "DMS", + "ground_truth": { + "target_string": "46°51'15.7\"N, 71°20'30.9\"W", + "latitude": 46.85436, + "longitude": -71.34191 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 46.854360, -71.341910", + " Latitude: 46.85436°", + " Longitude: -71.34191°", + "Step 2: Convert latitude to DMS", + " Degrees = 46", + " Minutes = int((46.854360 - 46) × 60) = 51", + " Seconds = ((46.854360 - 46) × 60 - 51) × 60 = 15.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 71", + " Minutes = 20", + " Seconds = 30.9", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 46°51'15.7\"N, 71°20'30.9\"W", + "FINAL ANSWER: 46°51'15.7\"N, 71°20'30.9\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Auburn Hills", + "source_format": "DD", + "source_string": "42.687530, -83.234100", + "target_format": "DMS", + "ground_truth": { + "target_string": "42°41'15.1\"N, 83°14'2.8\"W", + "latitude": 42.68753, + "longitude": -83.2341 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: 42.687530, -83.234100", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 42°41'15.1\"N, 83°14'2.8\"W", + "FINAL ANSWER: 42°41'15.1\"N, 83°14'2.8\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Wylie", + "source_format": "DMS", + "source_string": "33°0'54.4\"N, 96°32'20.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "33.015120, -96.538880", + "latitude": 33.01512, + "longitude": -96.53888 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 33°0'54.4\"N, 96°32'20.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 33.01512°", + "Step 4: Calculate longitude", + " Longitude: -96.53888°", + "FINAL ANSWER: 33.015120, -96.538880" + ] + }, + { + "task": "format_conversion", + "location_name": "Pirituba", + "source_format": "decimal_degrees", + "source_string": "-23.489820, -46.732200", + "target_format": "DMS", + "ground_truth": { + "target_string": "23°29'23.4\"S, 46°43'55.9\"W", + "latitude": -23.48982, + "longitude": -46.7322 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -23.489820, -46.732200", + " Latitude: -23.48982°", + " Longitude: -46.7322°", + "Step 2: Convert latitude to DMS", + " Degrees = 23", + " Minutes = int((23.489820 - 23) × 60) = 29", + " Seconds = ((23.489820 - 23) × 60 - 29) × 60 = 23.4", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 46", + " Minutes = 43", + " Seconds = 55.9", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 23°29'23.4\"S, 46°43'55.9\"W", + "FINAL ANSWER: 23°29'23.4\"S, 46°43'55.9\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Banjaran", + "source_format": "DMS", + "source_string": "7°2'43.0\"S, 107°35'16.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-7.045280, 107.587780", + "latitude": -7.04528, + "longitude": 107.58778 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 7°2'43.0\"S, 107°35'16.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -7.04528°", + "Step 4: Calculate longitude", + " Longitude: 107.58778°", + "FINAL ANSWER: -7.045280, 107.587780" + ] + }, + { + "task": "format_conversion", + "location_name": "Lāwar Khās", + "source_format": "decimal_degrees", + "source_string": "29.110910, 77.777670", + "target_format": "DMS", + "ground_truth": { + "target_string": "29°6'39.3\"N, 77°46'39.6\"E", + "latitude": 29.11091, + "longitude": 77.77767 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 29.110910, 77.777670", + " Latitude: 29.11091°", + " Longitude: 77.77767°", + "Step 2: Convert latitude to DMS", + " Degrees = 29", + " Minutes = int((29.110910 - 29) × 60) = 6", + " Seconds = ((29.110910 - 29) × 60 - 6) × 60 = 39.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 77", + " Minutes = 46", + " Seconds = 39.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 29°6'39.3\"N, 77°46'39.6\"E", + "FINAL ANSWER: 29°6'39.3\"N, 77°46'39.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Aramboli", + "source_format": "DMS", + "source_string": "8°14'58.6\"N, 77°31'17.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "8.249620, 77.521610", + "latitude": 8.24962, + "longitude": 77.52161 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 8°14'58.6\"N, 77°31'17.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 8.24962°", + "Step 4: Calculate longitude", + " Longitude: 77.52161°", + "FINAL ANSWER: 8.249620, 77.521610" + ] + }, + { + "task": "format_conversion", + "location_name": "Bönen", + "source_format": "decimal_degrees", + "source_string": "51.600000, 7.766670", + "target_format": "DMS", + "ground_truth": { + "target_string": "51°36'0.0\"N, 7°46'0.0\"E", + "latitude": 51.6, + "longitude": 7.76667 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 51.600000, 7.766670", + " Latitude: 51.6°", + " Longitude: 7.76667°", + "Step 2: Convert latitude to DMS", + " Degrees = 51", + " Minutes = int((51.600000 - 51) × 60) = 36", + " Seconds = ((51.600000 - 51) × 60 - 36) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 7", + " Minutes = 46", + " Seconds = 0.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 51°36'0.0\"N, 7°46'0.0\"E", + "FINAL ANSWER: 51°36'0.0\"N, 7°46'0.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kamagaya", + "source_format": "decimal_degrees", + "source_string": "35.769710, 140.002380", + "target_format": "DMS", + "ground_truth": { + "target_string": "35°46'11.0\"N, 140°0'8.6\"E", + "latitude": 35.76971, + "longitude": 140.00238 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 35.769710, 140.002380", + " Latitude: 35.76971°", + " Longitude: 140.00238°", + "Step 2: Convert latitude to DMS", + " Degrees = 35", + " Minutes = int((35.769710 - 35) × 60) = 46", + " Seconds = ((35.769710 - 35) × 60 - 46) × 60 = 11.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 140", + " Minutes = 0", + " Seconds = 8.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 35°46'11.0\"N, 140°0'8.6\"E", + "FINAL ANSWER: 35°46'11.0\"N, 140°0'8.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Sterling", + "source_format": "decimal_degrees", + "source_string": "41.788640, -89.696220", + "target_format": "DMS", + "ground_truth": { + "target_string": "41°47'19.1\"N, 89°41'46.4\"W", + "latitude": 41.78864, + "longitude": -89.69622 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 41.788640, -89.696220", + " Latitude: 41.78864°", + " Longitude: -89.69622°", + "Step 2: Convert latitude to DMS", + " Degrees = 41", + " Minutes = int((41.788640 - 41) × 60) = 47", + " Seconds = ((41.788640 - 41) × 60 - 47) × 60 = 19.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 89", + " Minutes = 41", + " Seconds = 46.4", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 41°47'19.1\"N, 89°41'46.4\"W", + "FINAL ANSWER: 41°47'19.1\"N, 89°41'46.4\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Curup", + "source_format": "DMS", + "source_string": "3°28'13.1\"S, 102°31'14.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-3.470300, 102.520700", + "latitude": -3.4703, + "longitude": 102.5207 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 3°28'13.1\"S, 102°31'14.5\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -3.4703°", + "Step 4: Calculate longitude", + " Longitude: 102.5207°", + "FINAL ANSWER: -3.470300, 102.520700" + ] + }, + { + "task": "format_conversion", + "location_name": "San Sebastián de Mariquita", + "source_format": "decimal_degrees", + "source_string": "5.198890, -74.892950", + "target_format": "DMS", + "ground_truth": { + "target_string": "5°11'56.0\"N, 74°53'34.6\"W", + "latitude": 5.19889, + "longitude": -74.89295 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 5.198890, -74.892950", + " Latitude: 5.19889°", + " Longitude: -74.89295°", + "Step 2: Convert latitude to DMS", + " Degrees = 5", + " Minutes = int((5.198890 - 5) × 60) = 11", + " Seconds = ((5.198890 - 5) × 60 - 11) × 60 = 56.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 74", + " Minutes = 53", + " Seconds = 34.6", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 5°11'56.0\"N, 74°53'34.6\"W", + "FINAL ANSWER: 5°11'56.0\"N, 74°53'34.6\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Xinzhou", + "source_format": "DMS", + "source_string": "30°52'0.0\"N, 114°47'60.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "30.866670, 114.800000", + "latitude": 30.86667, + "longitude": 114.8 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 30°52'0.0\"N, 114°47'60.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 30.86667°", + "Step 4: Calculate longitude", + " Longitude: 114.8°", + "FINAL ANSWER: 30.866670, 114.800000" + ] + }, + { + "task": "format_conversion", + "location_name": "Cartago", + "source_format": "DD", + "source_string": "4.746390, -75.911670", + "target_format": "DMS", + "ground_truth": { + "target_string": "4°44'47.0\"N, 75°54'42.0\"W", + "latitude": 4.74639, + "longitude": -75.91167 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: 4.746390, -75.911670", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 4°44'47.0\"N, 75°54'42.0\"W", + "FINAL ANSWER: 4°44'47.0\"N, 75°54'42.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Batumi", + "source_format": "decimal_degrees", + "source_string": "41.640770, 41.630600", + "target_format": "DMS", + "ground_truth": { + "target_string": "41°38'26.8\"N, 41°37'50.2\"E", + "latitude": 41.64077, + "longitude": 41.6306 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 41.640770, 41.630600", + " Latitude: 41.64077°", + " Longitude: 41.6306°", + "Step 2: Convert latitude to DMS", + " Degrees = 41", + " Minutes = int((41.640770 - 41) × 60) = 38", + " Seconds = ((41.640770 - 41) × 60 - 38) × 60 = 26.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 41", + " Minutes = 37", + " Seconds = 50.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 41°38'26.8\"N, 41°37'50.2\"E", + "FINAL ANSWER: 41°38'26.8\"N, 41°37'50.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Rūdarpur", + "source_format": "decimal_degrees", + "source_string": "26.444670, 83.613020", + "target_format": "DMS", + "ground_truth": { + "target_string": "26°26'40.8\"N, 83°36'46.9\"E", + "latitude": 26.44467, + "longitude": 83.61302 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 26.444670, 83.613020", + " Latitude: 26.44467°", + " Longitude: 83.61302°", + "Step 2: Convert latitude to DMS", + " Degrees = 26", + " Minutes = int((26.444670 - 26) × 60) = 26", + " Seconds = ((26.444670 - 26) × 60 - 26) × 60 = 40.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 83", + " Minutes = 36", + " Seconds = 46.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 26°26'40.8\"N, 83°36'46.9\"E", + "FINAL ANSWER: 26°26'40.8\"N, 83°36'46.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Gannavaram", + "source_format": "DMS", + "source_string": "16°32'27.3\"N, 80°48'7.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "16.540920, 80.802130", + "latitude": 16.54092, + "longitude": 80.80213 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 16°32'27.3\"N, 80°48'7.7\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 16.54092°", + "Step 4: Calculate longitude", + " Longitude: 80.80213°", + "FINAL ANSWER: 16.540920, 80.802130" + ] + }, + { + "task": "format_conversion", + "location_name": "Zapotlanejo", + "source_format": "decimal_degrees", + "source_string": "20.622680, -103.068130", + "target_format": "DMS", + "ground_truth": { + "target_string": "20°37'21.6\"N, 103°4'5.3\"W", + "latitude": 20.62268, + "longitude": -103.06813 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 20.622680, -103.068130", + " Latitude: 20.62268°", + " Longitude: -103.06813°", + "Step 2: Convert latitude to DMS", + " Degrees = 20", + " Minutes = int((20.622680 - 20) × 60) = 37", + " Seconds = ((20.622680 - 20) × 60 - 37) × 60 = 21.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 103", + " Minutes = 4", + " Seconds = 5.3", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 20°37'21.6\"N, 103°4'5.3\"W", + "FINAL ANSWER: 20°37'21.6\"N, 103°4'5.3\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Radzionków", + "source_format": "decimal_degrees", + "source_string": "50.400260, 18.902320", + "target_format": "DMS", + "ground_truth": { + "target_string": "50°24'0.9\"N, 18°54'8.4\"E", + "latitude": 50.40026, + "longitude": 18.90232 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 50.400260, 18.902320", + " Latitude: 50.40026°", + " Longitude: 18.90232°", + "Step 2: Convert latitude to DMS", + " Degrees = 50", + " Minutes = int((50.400260 - 50) × 60) = 24", + " Seconds = ((50.400260 - 50) × 60 - 24) × 60 = 0.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 18", + " Minutes = 54", + " Seconds = 8.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 50°24'0.9\"N, 18°54'8.4\"E", + "FINAL ANSWER: 50°24'0.9\"N, 18°54'8.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Hưng Yên", + "source_format": "DMS", + "source_string": "20°38'46.9\"N, 106°3'4.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "20.646370, 106.051120", + "latitude": 20.64637, + "longitude": 106.05112 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 20°38'46.9\"N, 106°3'4.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 20.64637°", + "Step 4: Calculate longitude", + " Longitude: 106.05112°", + "FINAL ANSWER: 20.646370, 106.051120" + ] + }, + { + "task": "format_conversion", + "location_name": "Leinfelden-Echterdingen", + "source_format": "DMS", + "source_string": "48°41'38.6\"N, 9°10'5.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "48.694060, 9.168090", + "latitude": 48.69406, + "longitude": 9.16809 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 48°41'38.6\"N, 9°10'5.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 48.69406°", + "Step 4: Calculate longitude", + " Longitude: 9.16809°", + "FINAL ANSWER: 48.694060, 9.168090" + ] + }, + { + "task": "format_conversion", + "location_name": "Horad Zhodzina", + "source_format": "decimal_degrees", + "source_string": "54.098500, 28.333100", + "target_format": "DMS", + "ground_truth": { + "target_string": "54°5'54.6\"N, 28°19'59.2\"E", + "latitude": 54.0985, + "longitude": 28.3331 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 54.098500, 28.333100", + " Latitude: 54.0985°", + " Longitude: 28.3331°", + "Step 2: Convert latitude to DMS", + " Degrees = 54", + " Minutes = int((54.098500 - 54) × 60) = 5", + " Seconds = ((54.098500 - 54) × 60 - 5) × 60 = 54.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 28", + " Minutes = 19", + " Seconds = 59.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 54°5'54.6\"N, 28°19'59.2\"E", + "FINAL ANSWER: 54°5'54.6\"N, 28°19'59.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Ischia Porto", + "source_format": "DMS", + "source_string": "40°44'20.9\"N, 13°57'3.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.739130, 13.951000", + "latitude": 40.73913, + "longitude": 13.951 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°44'20.9\"N, 13°57'3.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 40.73913°", + "Step 4: Calculate longitude", + " Longitude: 13.951°", + "FINAL ANSWER: 40.739130, 13.951000" + ] + }, + { + "task": "format_conversion", + "location_name": "Jurong East", + "source_format": "DMS", + "source_string": "1°19'44.0\"N, 103°44'23.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "1.328880, 103.739950", + "latitude": 1.32888, + "longitude": 103.73995 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 1°19'44.0\"N, 103°44'23.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 1.32888°", + "Step 4: Calculate longitude", + " Longitude: 103.73995°", + "FINAL ANSWER: 1.328880, 103.739950" + ] + }, + { + "task": "format_conversion", + "location_name": "Lishi", + "source_format": "decimal_degrees", + "source_string": "29.078880, 106.262000", + "target_format": "DMS", + "ground_truth": { + "target_string": "29°4'44.0\"N, 106°15'43.2\"E", + "latitude": 29.07888, + "longitude": 106.262 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 29.078880, 106.262000", + " Latitude: 29.07888°", + " Longitude: 106.262°", + "Step 2: Convert latitude to DMS", + " Degrees = 29", + " Minutes = int((29.078880 - 29) × 60) = 4", + " Seconds = ((29.078880 - 29) × 60 - 4) × 60 = 44.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 106", + " Minutes = 15", + " Seconds = 43.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 29°4'44.0\"N, 106°15'43.2\"E", + "FINAL ANSWER: 29°4'44.0\"N, 106°15'43.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Laurelton", + "source_format": "DMS", + "source_string": "40°40'12.7\"N, 73°44'47.7\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.670190, -73.746590", + "latitude": 40.67019, + "longitude": -73.74659 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°40'12.7\"N, 73°44'47.7\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 40.67019°", + "Step 4: Calculate longitude", + " Longitude: -73.74659°", + "FINAL ANSWER: 40.670190, -73.746590" + ] + }, + { + "task": "format_conversion", + "location_name": "Aldaia", + "source_format": "decimal_degrees", + "source_string": "39.465690, -0.460050", + "target_format": "DMS", + "ground_truth": { + "target_string": "39°27'56.5\"N, 0°27'36.2\"W", + "latitude": 39.46569, + "longitude": -0.46005 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 39.465690, -0.460050", + " Latitude: 39.46569°", + " Longitude: -0.46005°", + "Step 2: Convert latitude to DMS", + " Degrees = 39", + " Minutes = int((39.465690 - 39) × 60) = 27", + " Seconds = ((39.465690 - 39) × 60 - 27) × 60 = 56.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 0", + " Minutes = 27", + " Seconds = 36.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 39°27'56.5\"N, 0°27'36.2\"W", + "FINAL ANSWER: 39°27'56.5\"N, 0°27'36.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Midland", + "source_format": "DMS", + "source_string": "44°45'0.4\"N, 79°52'58.7\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "44.750100, -79.882960", + "latitude": 44.7501, + "longitude": -79.88296 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 44°45'0.4\"N, 79°52'58.7\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 44.7501°", + "Step 4: Calculate longitude", + " Longitude: -79.88296°", + "FINAL ANSWER: 44.750100, -79.882960" + ] + }, + { + "task": "format_conversion", + "location_name": "Paraná", + "source_format": "decimal_degrees", + "source_string": "-31.732710, -60.528970", + "target_format": "DMS", + "ground_truth": { + "target_string": "31°43'57.8\"S, 60°31'44.3\"W", + "latitude": -31.73271, + "longitude": -60.52897 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -31.732710, -60.528970", + " Latitude: -31.73271°", + " Longitude: -60.52897°", + "Step 2: Convert latitude to DMS", + " Degrees = 31", + " Minutes = int((31.732710 - 31) × 60) = 43", + " Seconds = ((31.732710 - 31) × 60 - 43) × 60 = 57.8", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 60", + " Minutes = 31", + " Seconds = 44.3", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 31°43'57.8\"S, 60°31'44.3\"W", + "FINAL ANSWER: 31°43'57.8\"S, 60°31'44.3\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Bad Neuenahr-Ahrweiler", + "source_format": "DMS", + "source_string": "50°32'35.6\"N, 7°6'40.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "50.543220, 7.111300", + "latitude": 50.54322, + "longitude": 7.1113 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 50°32'35.6\"N, 7°6'40.7\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 50.54322°", + "Step 4: Calculate longitude", + " Longitude: 7.1113°", + "FINAL ANSWER: 50.543220, 7.111300" + ] + }, + { + "task": "format_conversion", + "location_name": "Esposende", + "source_format": "decimal_degrees", + "source_string": "41.536100, -8.782010", + "target_format": "DMS", + "ground_truth": { + "target_string": "41°32'10.0\"N, 8°46'55.2\"W", + "latitude": 41.5361, + "longitude": -8.78201 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 41.536100, -8.782010", + " Latitude: 41.5361°", + " Longitude: -8.78201°", + "Step 2: Convert latitude to DMS", + " Degrees = 41", + " Minutes = int((41.536100 - 41) × 60) = 32", + " Seconds = ((41.536100 - 41) × 60 - 32) × 60 = 10.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 8", + " Minutes = 46", + " Seconds = 55.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 41°32'10.0\"N, 8°46'55.2\"W", + "FINAL ANSWER: 41°32'10.0\"N, 8°46'55.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Monção", + "source_format": "decimal_degrees", + "source_string": "-3.491670, -45.251110", + "target_format": "DMS", + "ground_truth": { + "target_string": "3°29'30.0\"S, 45°15'4.0\"W", + "latitude": -3.49167, + "longitude": -45.25111 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -3.491670, -45.251110", + " Latitude: -3.49167°", + " Longitude: -45.25111°", + "Step 2: Convert latitude to DMS", + " Degrees = 3", + " Minutes = int((3.491670 - 3) × 60) = 29", + " Seconds = ((3.491670 - 3) × 60 - 29) × 60 = 30.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 45", + " Minutes = 15", + " Seconds = 4.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 3°29'30.0\"S, 45°15'4.0\"W", + "FINAL ANSWER: 3°29'30.0\"S, 45°15'4.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Mytishchi", + "source_format": "decimal_degrees", + "source_string": "55.910990, 37.729640", + "target_format": "DMS", + "ground_truth": { + "target_string": "55°54'39.6\"N, 37°43'46.7\"E", + "latitude": 55.91099, + "longitude": 37.72964 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 55.910990, 37.729640", + " Latitude: 55.91099°", + " Longitude: 37.72964°", + "Step 2: Convert latitude to DMS", + " Degrees = 55", + " Minutes = int((55.910990 - 55) × 60) = 54", + " Seconds = ((55.910990 - 55) × 60 - 54) × 60 = 39.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 37", + " Minutes = 43", + " Seconds = 46.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 55°54'39.6\"N, 37°43'46.7\"E", + "FINAL ANSWER: 55°54'39.6\"N, 37°43'46.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Chhabra", + "source_format": "decimal_degrees", + "source_string": "24.664720, 76.843790", + "target_format": "DMS", + "ground_truth": { + "target_string": "24°39'53.0\"N, 76°50'37.6\"E", + "latitude": 24.66472, + "longitude": 76.84379 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 24.664720, 76.843790", + " Latitude: 24.66472°", + " Longitude: 76.84379°", + "Step 2: Convert latitude to DMS", + " Degrees = 24", + " Minutes = int((24.664720 - 24) × 60) = 39", + " Seconds = ((24.664720 - 24) × 60 - 39) × 60 = 53.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 76", + " Minutes = 50", + " Seconds = 37.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 24°39'53.0\"N, 76°50'37.6\"E", + "FINAL ANSWER: 24°39'53.0\"N, 76°50'37.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Bilimora", + "source_format": "decimal_degrees", + "source_string": "20.769570, 72.961340", + "target_format": "DMS", + "ground_truth": { + "target_string": "20°46'10.5\"N, 72°57'40.8\"E", + "latitude": 20.76957, + "longitude": 72.96134 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 20.769570, 72.961340", + " Latitude: 20.76957°", + " Longitude: 72.96134°", + "Step 2: Convert latitude to DMS", + " Degrees = 20", + " Minutes = int((20.769570 - 20) × 60) = 46", + " Seconds = ((20.769570 - 20) × 60 - 46) × 60 = 10.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 72", + " Minutes = 57", + " Seconds = 40.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 20°46'10.5\"N, 72°57'40.8\"E", + "FINAL ANSWER: 20°46'10.5\"N, 72°57'40.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Sandhurst", + "source_format": "decimal_degrees", + "source_string": "51.346750, -0.786550", + "target_format": "DMS", + "ground_truth": { + "target_string": "51°20'48.3\"N, 0°47'11.6\"W", + "latitude": 51.34675, + "longitude": -0.78655 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 51.346750, -0.786550", + " Latitude: 51.34675°", + " Longitude: -0.78655°", + "Step 2: Convert latitude to DMS", + " Degrees = 51", + " Minutes = int((51.346750 - 51) × 60) = 20", + " Seconds = ((51.346750 - 51) × 60 - 20) × 60 = 48.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 0", + " Minutes = 47", + " Seconds = 11.6", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 51°20'48.3\"N, 0°47'11.6\"W", + "FINAL ANSWER: 51°20'48.3\"N, 0°47'11.6\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Wrocław", + "source_format": "DMS", + "source_string": "51°6'10.3\"N, 17°1'48.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "51.102860, 17.030060", + "latitude": 51.10286, + "longitude": 17.03006 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 51°6'10.3\"N, 17°1'48.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 51.10286°", + "Step 4: Calculate longitude", + " Longitude: 17.03006°", + "FINAL ANSWER: 51.102860, 17.030060" + ] + }, + { + "task": "format_conversion", + "location_name": "Korsun-Shevchenkivskyy", + "source_format": "DMS", + "source_string": "49°25'5.6\"N, 31°15'6.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "49.418220, 31.251740", + "latitude": 49.41822, + "longitude": 31.25174 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 49°25'5.6\"N, 31°15'6.3\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 49.41822°", + "Step 4: Calculate longitude", + " Longitude: 31.25174°", + "FINAL ANSWER: 49.418220, 31.251740" + ] + }, + { + "task": "format_conversion", + "location_name": "Nuevitas", + "source_format": "DMS", + "source_string": "21°32'45.1\"N, 77°15'54.1\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "21.545850, -77.265040", + "latitude": 21.54585, + "longitude": -77.26504 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 21°32'45.1\"N, 77°15'54.1\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 21.54585°", + "Step 4: Calculate longitude", + " Longitude: -77.26504°", + "FINAL ANSWER: 21.545850, -77.265040" + ] + }, + { + "task": "format_conversion", + "location_name": "Piúma", + "source_format": "DMS", + "source_string": "20°50'16.0\"S, 40°43'19.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-20.837780, -40.721940", + "latitude": -20.83778, + "longitude": -40.72194 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 20°50'16.0\"S, 40°43'19.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -20.83778°", + "Step 4: Calculate longitude", + " Longitude: -40.72194°", + "FINAL ANSWER: -20.837780, -40.721940" + ] + }, + { + "task": "format_conversion", + "location_name": "Al ‘Āshir min Ramaḑān", + "source_format": "decimal_degrees", + "source_string": "30.296360, 31.746330", + "target_format": "DMS", + "ground_truth": { + "target_string": "30°17'46.9\"N, 31°44'46.8\"E", + "latitude": 30.29636, + "longitude": 31.74633 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 30.296360, 31.746330", + " Latitude: 30.29636°", + " Longitude: 31.74633°", + "Step 2: Convert latitude to DMS", + " Degrees = 30", + " Minutes = int((30.296360 - 30) × 60) = 17", + " Seconds = ((30.296360 - 30) × 60 - 17) × 60 = 46.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 31", + " Minutes = 44", + " Seconds = 46.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 30°17'46.9\"N, 31°44'46.8\"E", + "FINAL ANSWER: 30°17'46.9\"N, 31°44'46.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Lyublino", + "source_format": "decimal_degrees", + "source_string": "55.677380, 37.760050", + "target_format": "DMS", + "ground_truth": { + "target_string": "55°40'38.6\"N, 37°45'36.2\"E", + "latitude": 55.67738, + "longitude": 37.76005 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 55.677380, 37.760050", + " Latitude: 55.67738°", + " Longitude: 37.76005°", + "Step 2: Convert latitude to DMS", + " Degrees = 55", + " Minutes = int((55.677380 - 55) × 60) = 40", + " Seconds = ((55.677380 - 55) × 60 - 40) × 60 = 38.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 37", + " Minutes = 45", + " Seconds = 36.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 55°40'38.6\"N, 37°45'36.2\"E", + "FINAL ANSWER: 55°40'38.6\"N, 37°45'36.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Ibatiba", + "source_format": "DMS", + "source_string": "20°14'2.0\"S, 41°30'38.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-20.233890, -41.510560", + "latitude": -20.23389, + "longitude": -41.51056 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 20°14'2.0\"S, 41°30'38.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -20.23389°", + "Step 4: Calculate longitude", + " Longitude: -41.51056°", + "FINAL ANSWER: -20.233890, -41.510560" + ] + }, + { + "task": "format_conversion", + "location_name": "UC Irvine", + "source_format": "decimal_degrees", + "source_string": "33.639670, -117.841640", + "target_format": "DMS", + "ground_truth": { + "target_string": "33°38'22.8\"N, 117°50'29.9\"W", + "latitude": 33.63967, + "longitude": -117.84164 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 33.639670, -117.841640", + " Latitude: 33.63967°", + " Longitude: -117.84164°", + "Step 2: Convert latitude to DMS", + " Degrees = 33", + " Minutes = int((33.639670 - 33) × 60) = 38", + " Seconds = ((33.639670 - 33) × 60 - 38) × 60 = 22.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 117", + " Minutes = 50", + " Seconds = 29.9", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 33°38'22.8\"N, 117°50'29.9\"W", + "FINAL ANSWER: 33°38'22.8\"N, 117°50'29.9\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Zarqa", + "source_format": "decimal_degrees", + "source_string": "32.072750, 36.087960", + "target_format": "DMS", + "ground_truth": { + "target_string": "32°4'21.9\"N, 36°5'16.7\"E", + "latitude": 32.07275, + "longitude": 36.08796 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 32.072750, 36.087960", + " Latitude: 32.07275°", + " Longitude: 36.08796°", + "Step 2: Convert latitude to DMS", + " Degrees = 32", + " Minutes = int((32.072750 - 32) × 60) = 4", + " Seconds = ((32.072750 - 32) × 60 - 4) × 60 = 21.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 36", + " Minutes = 5", + " Seconds = 16.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 32°4'21.9\"N, 36°5'16.7\"E", + "FINAL ANSWER: 32°4'21.9\"N, 36°5'16.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Vinhomes Ocean Park", + "source_format": "DMS", + "source_string": "20°59'41.3\"N, 105°56'47.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "20.994800, 105.946500", + "latitude": 20.9948, + "longitude": 105.9465 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 20°59'41.3\"N, 105°56'47.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 20.9948°", + "Step 4: Calculate longitude", + " Longitude: 105.9465°", + "FINAL ANSWER: 20.994800, 105.946500" + ] + }, + { + "task": "format_conversion", + "location_name": "Konibodom", + "source_format": "DMS", + "source_string": "40°17'38.9\"N, 70°25'52.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.294140, 70.431220", + "latitude": 40.29414, + "longitude": 70.43122 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°17'38.9\"N, 70°25'52.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 40.29414°", + "Step 4: Calculate longitude", + " Longitude: 70.43122°", + "FINAL ANSWER: 40.294140, 70.431220" + ] + }, + { + "task": "format_conversion", + "location_name": "Summerlin South", + "source_format": "DMS", + "source_string": "36°7'1.5\"N, 115°19'48.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "36.117080, -115.330010", + "latitude": 36.11708, + "longitude": -115.33001 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 36°7'1.5\"N, 115°19'48.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 36.11708°", + "Step 4: Calculate longitude", + " Longitude: -115.33001°", + "FINAL ANSWER: 36.117080, -115.330010" + ] + }, + { + "task": "format_conversion", + "location_name": "Mirganj", + "source_format": "DMS", + "source_string": "26°22'24.4\"N, 84°20'5.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "26.373450, 84.334890", + "latitude": 26.37345, + "longitude": 84.33489 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 26°22'24.4\"N, 84°20'5.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 26.37345°", + "Step 4: Calculate longitude", + " Longitude: 84.33489°", + "FINAL ANSWER: 26.373450, 84.334890" + ] + }, + { + "task": "format_conversion", + "location_name": "La Piedad", + "source_format": "DMS", + "source_string": "20°20'32.6\"N, 102°1'49.8\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "20.342390, -102.030500", + "latitude": 20.34239, + "longitude": -102.0305 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 20°20'32.6\"N, 102°1'49.8\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 20.34239°", + "Step 4: Calculate longitude", + " Longitude: -102.0305°", + "FINAL ANSWER: 20.342390, -102.030500" + ] + }, + { + "task": "format_conversion", + "location_name": "Philipsburg", + "source_format": "decimal_degrees", + "source_string": "18.026000, -63.045820", + "target_format": "DMS", + "ground_truth": { + "target_string": "18°1'33.6\"N, 63°2'45.0\"W", + "latitude": 18.026, + "longitude": -63.04582 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 18.026000, -63.045820", + " Latitude: 18.026°", + " Longitude: -63.04582°", + "Step 2: Convert latitude to DMS", + " Degrees = 18", + " Minutes = int((18.026000 - 18) × 60) = 1", + " Seconds = ((18.026000 - 18) × 60 - 1) × 60 = 33.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 63", + " Minutes = 2", + " Seconds = 45.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 18°1'33.6\"N, 63°2'45.0\"W", + "FINAL ANSWER: 18°1'33.6\"N, 63°2'45.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Kalaw", + "source_format": "decimal_degrees", + "source_string": "20.634590, 96.564540", + "target_format": "DMS", + "ground_truth": { + "target_string": "20°38'4.5\"N, 96°33'52.3\"E", + "latitude": 20.63459, + "longitude": 96.56454 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 20.634590, 96.564540", + " Latitude: 20.63459°", + " Longitude: 96.56454°", + "Step 2: Convert latitude to DMS", + " Degrees = 20", + " Minutes = int((20.634590 - 20) × 60) = 38", + " Seconds = ((20.634590 - 20) × 60 - 38) × 60 = 4.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 96", + " Minutes = 33", + " Seconds = 52.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 20°38'4.5\"N, 96°33'52.3\"E", + "FINAL ANSWER: 20°38'4.5\"N, 96°33'52.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Sayula", + "source_format": "decimal_degrees", + "source_string": "19.883720, -103.600730", + "target_format": "DMS", + "ground_truth": { + "target_string": "19°53'1.4\"N, 103°36'2.6\"W", + "latitude": 19.88372, + "longitude": -103.60073 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 19.883720, -103.600730", + " Latitude: 19.88372°", + " Longitude: -103.60073°", + "Step 2: Convert latitude to DMS", + " Degrees = 19", + " Minutes = int((19.883720 - 19) × 60) = 53", + " Seconds = ((19.883720 - 19) × 60 - 53) × 60 = 1.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 103", + " Minutes = 36", + " Seconds = 2.6", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 19°53'1.4\"N, 103°36'2.6\"W", + "FINAL ANSWER: 19°53'1.4\"N, 103°36'2.6\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Destelbergen", + "source_format": "DMS", + "source_string": "51°3'34.3\"N, 3°47'56.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "51.059520, 3.798990", + "latitude": 51.05952, + "longitude": 3.79899 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 51°3'34.3\"N, 3°47'56.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 51.05952°", + "Step 4: Calculate longitude", + " Longitude: 3.79899°", + "FINAL ANSWER: 51.059520, 3.798990" + ] + }, + { + "task": "format_conversion", + "location_name": "Ipiaú", + "source_format": "DMS", + "source_string": "14°8'4.2\"S, 39°44'22.1\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-14.134490, -39.739480", + "latitude": -14.13449, + "longitude": -39.73948 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 14°8'4.2\"S, 39°44'22.1\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -14.13449°", + "Step 4: Calculate longitude", + " Longitude: -39.73948°", + "FINAL ANSWER: -14.134490, -39.739480" + ] + }, + { + "task": "format_conversion", + "location_name": "Hough", + "source_format": "DMS", + "source_string": "41°30'43.2\"N, 81°38'11.5\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "41.512000, -81.636520", + "latitude": 41.512, + "longitude": -81.63652 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 41°30'43.2\"N, 81°38'11.5\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 41.512°", + "Step 4: Calculate longitude", + " Longitude: -81.63652°", + "FINAL ANSWER: 41.512000, -81.636520" + ] + }, + { + "task": "format_conversion", + "location_name": "Goya", + "source_format": "decimal_degrees", + "source_string": "6.564870, -7.427350", + "target_format": "DMS", + "ground_truth": { + "target_string": "6°33'53.5\"N, 7°25'38.5\"W", + "latitude": 6.56487, + "longitude": -7.42735 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 6.564870, -7.427350", + " Latitude: 6.56487°", + " Longitude: -7.42735°", + "Step 2: Convert latitude to DMS", + " Degrees = 6", + " Minutes = int((6.564870 - 6) × 60) = 33", + " Seconds = ((6.564870 - 6) × 60 - 33) × 60 = 53.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 7", + " Minutes = 25", + " Seconds = 38.5", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 6°33'53.5\"N, 7°25'38.5\"W", + "FINAL ANSWER: 6°33'53.5\"N, 7°25'38.5\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Palmerston", + "source_format": "decimal_degrees", + "source_string": "-12.486020, 130.983300", + "target_format": "DMS", + "ground_truth": { + "target_string": "12°29'9.7\"S, 130°58'59.9\"E", + "latitude": -12.48602, + "longitude": 130.9833 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -12.486020, 130.983300", + " Latitude: -12.48602°", + " Longitude: 130.9833°", + "Step 2: Convert latitude to DMS", + " Degrees = 12", + " Minutes = int((12.486020 - 12) × 60) = 29", + " Seconds = ((12.486020 - 12) × 60 - 29) × 60 = 9.7", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 130", + " Minutes = 58", + " Seconds = 59.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 12°29'9.7\"S, 130°58'59.9\"E", + "FINAL ANSWER: 12°29'9.7\"S, 130°58'59.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Rio Tinto", + "source_format": "decimal_degrees", + "source_string": "-6.803060, -35.080560", + "target_format": "DMS", + "ground_truth": { + "target_string": "6°48'11.0\"S, 35°4'50.0\"W", + "latitude": -6.80306, + "longitude": -35.08056 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -6.803060, -35.080560", + " Latitude: -6.80306°", + " Longitude: -35.08056°", + "Step 2: Convert latitude to DMS", + " Degrees = 6", + " Minutes = int((6.803060 - 6) × 60) = 48", + " Seconds = ((6.803060 - 6) × 60 - 48) × 60 = 11.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 35", + " Minutes = 4", + " Seconds = 50.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 6°48'11.0\"S, 35°4'50.0\"W", + "FINAL ANSWER: 6°48'11.0\"S, 35°4'50.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Ho", + "source_format": "decimal_degrees", + "source_string": "6.600840, 0.471300", + "target_format": "DMS", + "ground_truth": { + "target_string": "6°36'3.0\"N, 0°28'16.7\"E", + "latitude": 6.60084, + "longitude": 0.4713 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 6.600840, 0.471300", + " Latitude: 6.60084°", + " Longitude: 0.4713°", + "Step 2: Convert latitude to DMS", + " Degrees = 6", + " Minutes = int((6.600840 - 6) × 60) = 36", + " Seconds = ((6.600840 - 6) × 60 - 36) × 60 = 3.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 0", + " Minutes = 28", + " Seconds = 16.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 6°36'3.0\"N, 0°28'16.7\"E", + "FINAL ANSWER: 6°36'3.0\"N, 0°28'16.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Gero", + "source_format": "decimal_degrees", + "source_string": "35.800000, 137.233330", + "target_format": "DMS", + "ground_truth": { + "target_string": "35°47'60.0\"N, 137°13'60.0\"E", + "latitude": 35.8, + "longitude": 137.23333 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 35.800000, 137.233330", + " Latitude: 35.8°", + " Longitude: 137.23333°", + "Step 2: Convert latitude to DMS", + " Degrees = 35", + " Minutes = int((35.800000 - 35) × 60) = 47", + " Seconds = ((35.800000 - 35) × 60 - 47) × 60 = 60.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 137", + " Minutes = 13", + " Seconds = 60.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 35°47'60.0\"N, 137°13'60.0\"E", + "FINAL ANSWER: 35°47'60.0\"N, 137°13'60.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Fasano", + "source_format": "DMS", + "source_string": "40°50'10.5\"N, 17°21'36.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.836250, 17.360070", + "latitude": 40.83625, + "longitude": 17.36007 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°50'10.5\"N, 17°21'36.3\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 40.83625°", + "Step 4: Calculate longitude", + " Longitude: 17.36007°", + "FINAL ANSWER: 40.836250, 17.360070" + ] + }, + { + "task": "format_conversion", + "location_name": "North Tustin", + "source_format": "DMS", + "source_string": "33°45'52.1\"N, 117°47'38.2\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "33.764460, -117.793940", + "latitude": 33.76446, + "longitude": -117.79394 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 33°45'52.1\"N, 117°47'38.2\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 33.76446°", + "Step 4: Calculate longitude", + " Longitude: -117.79394°", + "FINAL ANSWER: 33.764460, -117.793940" + ] + }, + { + "task": "format_conversion", + "location_name": "Taunsa", + "source_format": "decimal_degrees", + "source_string": "30.703580, 70.650540", + "target_format": "DMS", + "ground_truth": { + "target_string": "30°42'12.9\"N, 70°39'1.9\"E", + "latitude": 30.70358, + "longitude": 70.65054 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 30.703580, 70.650540", + " Latitude: 30.70358°", + " Longitude: 70.65054°", + "Step 2: Convert latitude to DMS", + " Degrees = 30", + " Minutes = int((30.703580 - 30) × 60) = 42", + " Seconds = ((30.703580 - 30) × 60 - 42) × 60 = 12.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 70", + " Minutes = 39", + " Seconds = 1.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 30°42'12.9\"N, 70°39'1.9\"E", + "FINAL ANSWER: 30°42'12.9\"N, 70°39'1.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Chita", + "source_format": "decimal_degrees", + "source_string": "52.043110, 113.491710", + "target_format": "DMS", + "ground_truth": { + "target_string": "52°2'35.2\"N, 113°29'30.2\"E", + "latitude": 52.04311, + "longitude": 113.49171 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 52.043110, 113.491710", + " Latitude: 52.04311°", + " Longitude: 113.49171°", + "Step 2: Convert latitude to DMS", + " Degrees = 52", + " Minutes = int((52.043110 - 52) × 60) = 2", + " Seconds = ((52.043110 - 52) × 60 - 2) × 60 = 35.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 113", + " Minutes = 29", + " Seconds = 30.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 52°2'35.2\"N, 113°29'30.2\"E", + "FINAL ANSWER: 52°2'35.2\"N, 113°29'30.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Tatsuno-kita", + "source_format": "DMS", + "source_string": "34°35'48.4\"N, 135°41'34.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "34.596770, 135.692850", + "latitude": 34.59677, + "longitude": 135.69285 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 34°35'48.4\"N, 135°41'34.3\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 34.59677°", + "Step 4: Calculate longitude", + " Longitude: 135.69285°", + "FINAL ANSWER: 34.596770, 135.692850" + ] + }, + { + "task": "format_conversion", + "location_name": "Rajshahi", + "source_format": "DMS", + "source_string": "24°22'26.4\"N, 88°36'4.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "24.374000, 88.601140", + "latitude": 24.374, + "longitude": 88.60114 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 24°22'26.4\"N, 88°36'4.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 24.374°", + "Step 4: Calculate longitude", + " Longitude: 88.60114°", + "FINAL ANSWER: 24.374000, 88.601140" + ] + }, + { + "task": "format_conversion", + "location_name": "Pitangueiras", + "source_format": "decimal_degrees", + "source_string": "-21.009440, -48.221670", + "target_format": "DMS", + "ground_truth": { + "target_string": "21°0'34.0\"S, 48°13'18.0\"W", + "latitude": -21.00944, + "longitude": -48.22167 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -21.009440, -48.221670", + " Latitude: -21.00944°", + " Longitude: -48.22167°", + "Step 2: Convert latitude to DMS", + " Degrees = 21", + " Minutes = int((21.009440 - 21) × 60) = 0", + " Seconds = ((21.009440 - 21) × 60 - 0) × 60 = 34.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 48", + " Minutes = 13", + " Seconds = 18.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 21°0'34.0\"S, 48°13'18.0\"W", + "FINAL ANSWER: 21°0'34.0\"S, 48°13'18.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Ilobu", + "source_format": "decimal_degrees", + "source_string": "7.838790, 4.486720", + "target_format": "DMS", + "ground_truth": { + "target_string": "7°50'19.6\"N, 4°29'12.2\"E", + "latitude": 7.83879, + "longitude": 4.48672 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 7.838790, 4.486720", + " Latitude: 7.83879°", + " Longitude: 4.48672°", + "Step 2: Convert latitude to DMS", + " Degrees = 7", + " Minutes = int((7.838790 - 7) × 60) = 50", + " Seconds = ((7.838790 - 7) × 60 - 50) × 60 = 19.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 4", + " Minutes = 29", + " Seconds = 12.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 7°50'19.6\"N, 4°29'12.2\"E", + "FINAL ANSWER: 7°50'19.6\"N, 4°29'12.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Peñalolén", + "source_format": "decimal_degrees", + "source_string": "-33.468360, -70.534110", + "target_format": "DMS", + "ground_truth": { + "target_string": "33°28'6.1\"S, 70°32'2.8\"W", + "latitude": -33.46836, + "longitude": -70.53411 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -33.468360, -70.534110", + " Latitude: -33.46836°", + " Longitude: -70.53411°", + "Step 2: Convert latitude to DMS", + " Degrees = 33", + " Minutes = int((33.468360 - 33) × 60) = 28", + " Seconds = ((33.468360 - 33) × 60 - 28) × 60 = 6.1", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 70", + " Minutes = 32", + " Seconds = 2.8", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 33°28'6.1\"S, 70°32'2.8\"W", + "FINAL ANSWER: 33°28'6.1\"S, 70°32'2.8\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Zielonka", + "source_format": "decimal_degrees", + "source_string": "52.303760, 21.160180", + "target_format": "DMS", + "ground_truth": { + "target_string": "52°18'13.5\"N, 21°9'36.6\"E", + "latitude": 52.30376, + "longitude": 21.16018 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 52.303760, 21.160180", + " Latitude: 52.30376°", + " Longitude: 21.16018°", + "Step 2: Convert latitude to DMS", + " Degrees = 52", + " Minutes = int((52.303760 - 52) × 60) = 18", + " Seconds = ((52.303760 - 52) × 60 - 18) × 60 = 13.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 21", + " Minutes = 9", + " Seconds = 36.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 52°18'13.5\"N, 21°9'36.6\"E", + "FINAL ANSWER: 52°18'13.5\"N, 21°9'36.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Volochysk", + "source_format": "decimal_degrees", + "source_string": "49.536060, 26.206810", + "target_format": "DMS", + "ground_truth": { + "target_string": "49°32'9.8\"N, 26°12'24.5\"E", + "latitude": 49.53606, + "longitude": 26.20681 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 49.536060, 26.206810", + " Latitude: 49.53606°", + " Longitude: 26.20681°", + "Step 2: Convert latitude to DMS", + " Degrees = 49", + " Minutes = int((49.536060 - 49) × 60) = 32", + " Seconds = ((49.536060 - 49) × 60 - 32) × 60 = 9.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 26", + " Minutes = 12", + " Seconds = 24.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 49°32'9.8\"N, 26°12'24.5\"E", + "FINAL ANSWER: 49°32'9.8\"N, 26°12'24.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Bella Vista", + "source_format": "decimal_degrees", + "source_string": "18.455390, -69.945400", + "target_format": "DMS", + "ground_truth": { + "target_string": "18°27'19.4\"N, 69°56'43.4\"W", + "latitude": 18.45539, + "longitude": -69.9454 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 18.455390, -69.945400", + " Latitude: 18.45539°", + " Longitude: -69.9454°", + "Step 2: Convert latitude to DMS", + " Degrees = 18", + " Minutes = int((18.455390 - 18) × 60) = 27", + " Seconds = ((18.455390 - 18) × 60 - 27) × 60 = 19.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 69", + " Minutes = 56", + " Seconds = 43.4", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 18°27'19.4\"N, 69°56'43.4\"W", + "FINAL ANSWER: 18°27'19.4\"N, 69°56'43.4\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Huntingdon", + "source_format": "DMS", + "source_string": "52°19'49.8\"N, 0°11'11.4\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "52.330490, -0.186510", + "latitude": 52.33049, + "longitude": -0.18651 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 52°19'49.8\"N, 0°11'11.4\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 52.33049°", + "Step 4: Calculate longitude", + " Longitude: -0.18651°", + "FINAL ANSWER: 52.330490, -0.186510" + ] + }, + { + "task": "format_conversion", + "location_name": "Sarapāka", + "source_format": "decimal_degrees", + "source_string": "17.691290, 80.869980", + "target_format": "DMS", + "ground_truth": { + "target_string": "17°41'28.6\"N, 80°52'11.9\"E", + "latitude": 17.69129, + "longitude": 80.86998 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 17.691290, 80.869980", + " Latitude: 17.69129°", + " Longitude: 80.86998°", + "Step 2: Convert latitude to DMS", + " Degrees = 17", + " Minutes = int((17.691290 - 17) × 60) = 41", + " Seconds = ((17.691290 - 17) × 60 - 41) × 60 = 28.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 80", + " Minutes = 52", + " Seconds = 11.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 17°41'28.6\"N, 80°52'11.9\"E", + "FINAL ANSWER: 17°41'28.6\"N, 80°52'11.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Nässjö", + "source_format": "decimal_degrees", + "source_string": "57.653070, 14.696760", + "target_format": "DMS", + "ground_truth": { + "target_string": "57°39'11.1\"N, 14°41'48.3\"E", + "latitude": 57.65307, + "longitude": 14.69676 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 57.653070, 14.696760", + " Latitude: 57.65307°", + " Longitude: 14.69676°", + "Step 2: Convert latitude to DMS", + " Degrees = 57", + " Minutes = int((57.653070 - 57) × 60) = 39", + " Seconds = ((57.653070 - 57) × 60 - 39) × 60 = 11.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 14", + " Minutes = 41", + " Seconds = 48.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 57°39'11.1\"N, 14°41'48.3\"E", + "FINAL ANSWER: 57°39'11.1\"N, 14°41'48.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Los Ángeles", + "source_format": "decimal_degrees", + "source_string": "-37.469730, -72.353660", + "target_format": "DMS", + "ground_truth": { + "target_string": "37°28'11.0\"S, 72°21'13.2\"W", + "latitude": -37.46973, + "longitude": -72.35366 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -37.469730, -72.353660", + " Latitude: -37.46973°", + " Longitude: -72.35366°", + "Step 2: Convert latitude to DMS", + " Degrees = 37", + " Minutes = int((37.469730 - 37) × 60) = 28", + " Seconds = ((37.469730 - 37) × 60 - 28) × 60 = 11.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 72", + " Minutes = 21", + " Seconds = 13.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 37°28'11.0\"S, 72°21'13.2\"W", + "FINAL ANSWER: 37°28'11.0\"S, 72°21'13.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Korla", + "source_format": "DMS", + "source_string": "41°45'38.0\"N, 86°9'8.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "41.760550, 86.152310", + "latitude": 41.76055, + "longitude": 86.15231 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 41°45'38.0\"N, 86°9'8.3\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 41.76055°", + "Step 4: Calculate longitude", + " Longitude: 86.15231°", + "FINAL ANSWER: 41.760550, 86.152310" + ] + }, + { + "task": "format_conversion", + "location_name": "Kingsessing", + "source_format": "decimal_degrees", + "source_string": "39.936780, -75.229630", + "target_format": "DMS", + "ground_truth": { + "target_string": "39°56'12.4\"N, 75°13'46.7\"W", + "latitude": 39.93678, + "longitude": -75.22963 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 39.936780, -75.229630", + " Latitude: 39.93678°", + " Longitude: -75.22963°", + "Step 2: Convert latitude to DMS", + " Degrees = 39", + " Minutes = int((39.936780 - 39) × 60) = 56", + " Seconds = ((39.936780 - 39) × 60 - 56) × 60 = 12.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 75", + " Minutes = 13", + " Seconds = 46.7", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 39°56'12.4\"N, 75°13'46.7\"W", + "FINAL ANSWER: 39°56'12.4\"N, 75°13'46.7\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Lemay", + "source_format": "DMS", + "source_string": "38°32'0.2\"N, 90°16'45.4\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "38.533390, -90.279280", + "latitude": 38.53339, + "longitude": -90.27928 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 38°32'0.2\"N, 90°16'45.4\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 38.53339°", + "Step 4: Calculate longitude", + " Longitude: -90.27928°", + "FINAL ANSWER: 38.533390, -90.279280" + ] + }, + { + "task": "format_conversion", + "location_name": "Targówek", + "source_format": "decimal_degrees", + "source_string": "52.291850, 21.048450", + "target_format": "DMS", + "ground_truth": { + "target_string": "52°17'30.7\"N, 21°2'54.4\"E", + "latitude": 52.29185, + "longitude": 21.04845 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 52.291850, 21.048450", + " Latitude: 52.29185°", + " Longitude: 21.04845°", + "Step 2: Convert latitude to DMS", + " Degrees = 52", + " Minutes = int((52.291850 - 52) × 60) = 17", + " Seconds = ((52.291850 - 52) × 60 - 17) × 60 = 30.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 21", + " Minutes = 2", + " Seconds = 54.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 52°17'30.7\"N, 21°2'54.4\"E", + "FINAL ANSWER: 52°17'30.7\"N, 21°2'54.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Sidi Bel Abbes", + "source_format": "decimal_degrees", + "source_string": "35.189940, -0.630850", + "target_format": "DMS", + "ground_truth": { + "target_string": "35°11'23.8\"N, 0°37'51.1\"W", + "latitude": 35.18994, + "longitude": -0.63085 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 35.189940, -0.630850", + " Latitude: 35.18994°", + " Longitude: -0.63085°", + "Step 2: Convert latitude to DMS", + " Degrees = 35", + " Minutes = int((35.189940 - 35) × 60) = 11", + " Seconds = ((35.189940 - 35) × 60 - 11) × 60 = 23.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 0", + " Minutes = 37", + " Seconds = 51.1", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 35°11'23.8\"N, 0°37'51.1\"W", + "FINAL ANSWER: 35°11'23.8\"N, 0°37'51.1\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Wangen", + "source_format": "decimal_degrees", + "source_string": "47.689500, 9.832470", + "target_format": "DMS", + "ground_truth": { + "target_string": "47°41'22.2\"N, 9°49'56.9\"E", + "latitude": 47.6895, + "longitude": 9.83247 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 47.689500, 9.832470", + " Latitude: 47.6895°", + " Longitude: 9.83247°", + "Step 2: Convert latitude to DMS", + " Degrees = 47", + " Minutes = int((47.689500 - 47) × 60) = 41", + " Seconds = ((47.689500 - 47) × 60 - 41) × 60 = 22.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 9", + " Minutes = 49", + " Seconds = 56.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 47°41'22.2\"N, 9°49'56.9\"E", + "FINAL ANSWER: 47°41'22.2\"N, 9°49'56.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Fernandópolis", + "source_format": "decimal_degrees", + "source_string": "-20.283890, -50.246390", + "target_format": "DMS", + "ground_truth": { + "target_string": "20°17'2.0\"S, 50°14'47.0\"W", + "latitude": -20.28389, + "longitude": -50.24639 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -20.283890, -50.246390", + " Latitude: -20.28389°", + " Longitude: -50.24639°", + "Step 2: Convert latitude to DMS", + " Degrees = 20", + " Minutes = int((20.283890 - 20) × 60) = 17", + " Seconds = ((20.283890 - 20) × 60 - 17) × 60 = 2.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 50", + " Minutes = 14", + " Seconds = 47.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 20°17'2.0\"S, 50°14'47.0\"W", + "FINAL ANSWER: 20°17'2.0\"S, 50°14'47.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Avdiivka", + "source_format": "decimal_degrees", + "source_string": "48.140190, 37.750080", + "target_format": "DMS", + "ground_truth": { + "target_string": "48°8'24.7\"N, 37°45'0.3\"E", + "latitude": 48.14019, + "longitude": 37.75008 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 48.140190, 37.750080", + " Latitude: 48.14019°", + " Longitude: 37.75008°", + "Step 2: Convert latitude to DMS", + " Degrees = 48", + " Minutes = int((48.140190 - 48) × 60) = 8", + " Seconds = ((48.140190 - 48) × 60 - 8) × 60 = 24.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 37", + " Minutes = 45", + " Seconds = 0.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 48°8'24.7\"N, 37°45'0.3\"E", + "FINAL ANSWER: 48°8'24.7\"N, 37°45'0.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Dipayal", + "source_format": "DMS", + "source_string": "29°15'39.0\"N, 80°56'24.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "29.260830, 80.940000", + "latitude": 29.26083, + "longitude": 80.94 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 29°15'39.0\"N, 80°56'24.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 29.26083°", + "Step 4: Calculate longitude", + " Longitude: 80.94°", + "FINAL ANSWER: 29.260830, 80.940000" + ] + }, + { + "task": "format_conversion", + "location_name": "Sougueur", + "source_format": "decimal_degrees", + "source_string": "35.185680, 1.496120", + "target_format": "DMS", + "ground_truth": { + "target_string": "35°11'8.4\"N, 1°29'46.0\"E", + "latitude": 35.18568, + "longitude": 1.49612 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 35.185680, 1.496120", + " Latitude: 35.18568°", + " Longitude: 1.49612°", + "Step 2: Convert latitude to DMS", + " Degrees = 35", + " Minutes = int((35.185680 - 35) × 60) = 11", + " Seconds = ((35.185680 - 35) × 60 - 11) × 60 = 8.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 1", + " Minutes = 29", + " Seconds = 46.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 35°11'8.4\"N, 1°29'46.0\"E", + "FINAL ANSWER: 35°11'8.4\"N, 1°29'46.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Nogent-sur-Marne", + "source_format": "DMS", + "source_string": "48°50'12.1\"N, 2°28'57.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "48.836690, 2.482550", + "latitude": 48.83669, + "longitude": 2.48255 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 48°50'12.1\"N, 2°28'57.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 48.83669°", + "Step 4: Calculate longitude", + " Longitude: 2.48255°", + "FINAL ANSWER: 48.836690, 2.482550" + ] + }, + { + "task": "format_conversion", + "location_name": "Fedj M’Zala", + "source_format": "DMS", + "source_string": "36°24'33.7\"N, 5°56'40.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "36.409370, 5.944630", + "latitude": 36.40937, + "longitude": 5.94463 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 36°24'33.7\"N, 5°56'40.7\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 36.40937°", + "Step 4: Calculate longitude", + " Longitude: 5.94463°", + "FINAL ANSWER: 36.409370, 5.944630" + ] + }, + { + "task": "format_conversion", + "location_name": "Caluquembe", + "source_format": "decimal_degrees", + "source_string": "-13.866670, 14.433330", + "target_format": "DMS", + "ground_truth": { + "target_string": "13°52'0.0\"S, 14°25'60.0\"E", + "latitude": -13.86667, + "longitude": 14.43333 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -13.866670, 14.433330", + " Latitude: -13.86667°", + " Longitude: 14.43333°", + "Step 2: Convert latitude to DMS", + " Degrees = 13", + " Minutes = int((13.866670 - 13) × 60) = 52", + " Seconds = ((13.866670 - 13) × 60 - 52) × 60 = 0.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 14", + " Minutes = 25", + " Seconds = 60.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 13°52'0.0\"S, 14°25'60.0\"E", + "FINAL ANSWER: 13°52'0.0\"S, 14°25'60.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Mission District", + "source_format": "decimal_degrees", + "source_string": "37.759930, -122.419140", + "target_format": "DMS", + "ground_truth": { + "target_string": "37°45'35.7\"N, 122°25'8.9\"W", + "latitude": 37.75993, + "longitude": -122.41914 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 37.759930, -122.419140", + " Latitude: 37.75993°", + " Longitude: -122.41914°", + "Step 2: Convert latitude to DMS", + " Degrees = 37", + " Minutes = int((37.759930 - 37) × 60) = 45", + " Seconds = ((37.759930 - 37) × 60 - 45) × 60 = 35.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 122", + " Minutes = 25", + " Seconds = 8.9", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 37°45'35.7\"N, 122°25'8.9\"W", + "FINAL ANSWER: 37°45'35.7\"N, 122°25'8.9\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Krujë", + "source_format": "DMS", + "source_string": "41°30'33.0\"N, 19°47'34.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "41.509170, 19.792780", + "latitude": 41.50917, + "longitude": 19.79278 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 41°30'33.0\"N, 19°47'34.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 41.50917°", + "Step 4: Calculate longitude", + " Longitude: 19.79278°", + "FINAL ANSWER: 41.509170, 19.792780" + ] + }, + { + "task": "format_conversion", + "location_name": "Quetzaltenango", + "source_format": "decimal_degrees", + "source_string": "14.844620, -91.523160", + "target_format": "DMS", + "ground_truth": { + "target_string": "14°50'40.6\"N, 91°31'23.4\"W", + "latitude": 14.84462, + "longitude": -91.52316 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 14.844620, -91.523160", + " Latitude: 14.84462°", + " Longitude: -91.52316°", + "Step 2: Convert latitude to DMS", + " Degrees = 14", + " Minutes = int((14.844620 - 14) × 60) = 50", + " Seconds = ((14.844620 - 14) × 60 - 50) × 60 = 40.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 91", + " Minutes = 31", + " Seconds = 23.4", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 14°50'40.6\"N, 91°31'23.4\"W", + "FINAL ANSWER: 14°50'40.6\"N, 91°31'23.4\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Hadgāon", + "source_format": "DMS", + "source_string": "19°29'43.9\"N, 77°39'31.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "19.495520, 77.658630", + "latitude": 19.49552, + "longitude": 77.65863 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 19°29'43.9\"N, 77°39'31.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 19.49552°", + "Step 4: Calculate longitude", + " Longitude: 77.65863°", + "FINAL ANSWER: 19.495520, 77.658630" + ] + }, + { + "task": "format_conversion", + "location_name": "Boysun", + "source_format": "decimal_degrees", + "source_string": "38.208350, 67.206640", + "target_format": "DMS", + "ground_truth": { + "target_string": "38°12'30.1\"N, 67°12'23.9\"E", + "latitude": 38.20835, + "longitude": 67.20664 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 38.208350, 67.206640", + " Latitude: 38.20835°", + " Longitude: 67.20664°", + "Step 2: Convert latitude to DMS", + " Degrees = 38", + " Minutes = int((38.208350 - 38) × 60) = 12", + " Seconds = ((38.208350 - 38) × 60 - 12) × 60 = 30.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 67", + " Minutes = 12", + " Seconds = 23.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 38°12'30.1\"N, 67°12'23.9\"E", + "FINAL ANSWER: 38°12'30.1\"N, 67°12'23.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Arcos", + "source_format": "decimal_degrees", + "source_string": "40.421220, -3.617590", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°25'16.4\"N, 3°37'3.3\"W", + "latitude": 40.42122, + "longitude": -3.61759 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.421220, -3.617590", + " Latitude: 40.42122°", + " Longitude: -3.61759°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.421220 - 40) × 60) = 25", + " Seconds = ((40.421220 - 40) × 60 - 25) × 60 = 16.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 3", + " Minutes = 37", + " Seconds = 3.3", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 40°25'16.4\"N, 3°37'3.3\"W", + "FINAL ANSWER: 40°25'16.4\"N, 3°37'3.3\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Bouansa", + "source_format": "decimal_degrees", + "source_string": "-4.218610, 13.761670", + "target_format": "DMS", + "ground_truth": { + "target_string": "4°13'7.0\"S, 13°45'42.0\"E", + "latitude": -4.21861, + "longitude": 13.76167 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -4.218610, 13.761670", + " Latitude: -4.21861°", + " Longitude: 13.76167°", + "Step 2: Convert latitude to DMS", + " Degrees = 4", + " Minutes = int((4.218610 - 4) × 60) = 13", + " Seconds = ((4.218610 - 4) × 60 - 13) × 60 = 7.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 13", + " Minutes = 45", + " Seconds = 42.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 4°13'7.0\"S, 13°45'42.0\"E", + "FINAL ANSWER: 4°13'7.0\"S, 13°45'42.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Semiluki", + "source_format": "DMS", + "source_string": "51°40'55.6\"N, 39°1'48.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "51.682100, 39.030200", + "latitude": 51.6821, + "longitude": 39.0302 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 51°40'55.6\"N, 39°1'48.7\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 51.6821°", + "Step 4: Calculate longitude", + " Longitude: 39.0302°", + "FINAL ANSWER: 51.682100, 39.030200" + ] + }, + { + "task": "format_conversion", + "location_name": "Daisen", + "source_format": "DMS", + "source_string": "39°26'28.2\"N, 140°29'22.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "39.441160, 140.489610", + "latitude": 39.44116, + "longitude": 140.48961 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 39°26'28.2\"N, 140°29'22.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 39.44116°", + "Step 4: Calculate longitude", + " Longitude: 140.48961°", + "FINAL ANSWER: 39.441160, 140.489610" + ] + }, + { + "task": "format_conversion", + "location_name": "Katsina-Ala", + "source_format": "decimal_degrees", + "source_string": "7.169380, 9.284650", + "target_format": "DMS", + "ground_truth": { + "target_string": "7°10'9.8\"N, 9°17'4.7\"E", + "latitude": 7.16938, + "longitude": 9.28465 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 7.169380, 9.284650", + " Latitude: 7.16938°", + " Longitude: 9.28465°", + "Step 2: Convert latitude to DMS", + " Degrees = 7", + " Minutes = int((7.169380 - 7) × 60) = 10", + " Seconds = ((7.169380 - 7) × 60 - 10) × 60 = 9.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 9", + " Minutes = 17", + " Seconds = 4.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 7°10'9.8\"N, 9°17'4.7\"E", + "FINAL ANSWER: 7°10'9.8\"N, 9°17'4.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Écully", + "source_format": "decimal_degrees", + "source_string": "45.774370, 4.777580", + "target_format": "DMS", + "ground_truth": { + "target_string": "45°46'27.7\"N, 4°46'39.3\"E", + "latitude": 45.77437, + "longitude": 4.77758 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 45.774370, 4.777580", + " Latitude: 45.77437°", + " Longitude: 4.77758°", + "Step 2: Convert latitude to DMS", + " Degrees = 45", + " Minutes = int((45.774370 - 45) × 60) = 46", + " Seconds = ((45.774370 - 45) × 60 - 46) × 60 = 27.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 4", + " Minutes = 46", + " Seconds = 39.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 45°46'27.7\"N, 4°46'39.3\"E", + "FINAL ANSWER: 45°46'27.7\"N, 4°46'39.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "San Giovanni Lupatoto", + "source_format": "DMS", + "source_string": "45°22'54.9\"N, 11°2'41.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "45.381930, 11.044740", + "latitude": 45.38193, + "longitude": 11.04474 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 45°22'54.9\"N, 11°2'41.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 45.38193°", + "Step 4: Calculate longitude", + " Longitude: 11.04474°", + "FINAL ANSWER: 45.381930, 11.044740" + ] + }, + { + "task": "format_conversion", + "location_name": "Annemasse", + "source_format": "DMS", + "source_string": "46°11'39.8\"N, 6°14'15.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "46.194390, 6.237750", + "latitude": 46.19439, + "longitude": 6.23775 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 46°11'39.8\"N, 6°14'15.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 46.19439°", + "Step 4: Calculate longitude", + " Longitude: 6.23775°", + "FINAL ANSWER: 46.194390, 6.237750" + ] + }, + { + "task": "format_conversion", + "location_name": "Zernograd", + "source_format": "decimal_degrees", + "source_string": "46.848620, 40.311640", + "target_format": "DMS", + "ground_truth": { + "target_string": "46°50'55.0\"N, 40°18'41.9\"E", + "latitude": 46.84862, + "longitude": 40.31164 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 46.848620, 40.311640", + " Latitude: 46.84862°", + " Longitude: 40.31164°", + "Step 2: Convert latitude to DMS", + " Degrees = 46", + " Minutes = int((46.848620 - 46) × 60) = 50", + " Seconds = ((46.848620 - 46) × 60 - 50) × 60 = 55.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 40", + " Minutes = 18", + " Seconds = 41.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 46°50'55.0\"N, 40°18'41.9\"E", + "FINAL ANSWER: 46°50'55.0\"N, 40°18'41.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Marzahn", + "source_format": "decimal_degrees", + "source_string": "52.545250, 13.569830", + "target_format": "DMS", + "ground_truth": { + "target_string": "52°32'42.9\"N, 13°34'11.4\"E", + "latitude": 52.54525, + "longitude": 13.56983 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 52.545250, 13.569830", + " Latitude: 52.54525°", + " Longitude: 13.56983°", + "Step 2: Convert latitude to DMS", + " Degrees = 52", + " Minutes = int((52.545250 - 52) × 60) = 32", + " Seconds = ((52.545250 - 52) × 60 - 32) × 60 = 42.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 13", + " Minutes = 34", + " Seconds = 11.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 52°32'42.9\"N, 13°34'11.4\"E", + "FINAL ANSWER: 52°32'42.9\"N, 13°34'11.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Muritiba", + "source_format": "DMS", + "source_string": "12°37'35.0\"S, 38°59'24.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-12.626390, -38.990000", + "latitude": -12.62639, + "longitude": -38.99 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 12°37'35.0\"S, 38°59'24.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -12.62639°", + "Step 4: Calculate longitude", + " Longitude: -38.99°", + "FINAL ANSWER: -12.626390, -38.990000" + ] + }, + { + "task": "format_conversion", + "location_name": "Montilla", + "source_format": "decimal_degrees", + "source_string": "37.586270, -4.638050", + "target_format": "DMS", + "ground_truth": { + "target_string": "37°35'10.6\"N, 4°38'17.0\"W", + "latitude": 37.58627, + "longitude": -4.63805 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 37.586270, -4.638050", + " Latitude: 37.58627°", + " Longitude: -4.63805°", + "Step 2: Convert latitude to DMS", + " Degrees = 37", + " Minutes = int((37.586270 - 37) × 60) = 35", + " Seconds = ((37.586270 - 37) × 60 - 35) × 60 = 10.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 4", + " Minutes = 38", + " Seconds = 17.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 37°35'10.6\"N, 4°38'17.0\"W", + "FINAL ANSWER: 37°35'10.6\"N, 4°38'17.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Diaoubé", + "source_format": "DMS", + "source_string": "12°55'0.0\"N, 14°10'0.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "12.916670, -14.166670", + "latitude": 12.91667, + "longitude": -14.16667 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 12°55'0.0\"N, 14°10'0.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 12.91667°", + "Step 4: Calculate longitude", + " Longitude: -14.16667°", + "FINAL ANSWER: 12.916670, -14.166670" + ] + }, + { + "task": "format_conversion", + "location_name": "Iganga", + "source_format": "DMS", + "source_string": "0°36'33.0\"N, 33°28'7.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "0.609170, 33.468610", + "latitude": 0.60917, + "longitude": 33.46861 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 0°36'33.0\"N, 33°28'7.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 0.60917°", + "Step 4: Calculate longitude", + " Longitude: 33.46861°", + "FINAL ANSWER: 0.609170, 33.468610" + ] + }, + { + "task": "format_conversion", + "location_name": "Mokwa", + "source_format": "DMS", + "source_string": "9°17'41.4\"N, 5°3'14.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "9.294820, 5.054120", + "latitude": 9.29482, + "longitude": 5.05412 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 9°17'41.4\"N, 5°3'14.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 9.29482°", + "Step 4: Calculate longitude", + " Longitude: 5.05412°", + "FINAL ANSWER: 9.294820, 5.054120" + ] + }, + { + "task": "format_conversion", + "location_name": "Skellefteå", + "source_format": "decimal_degrees", + "source_string": "64.750670, 20.952790", + "target_format": "DMS", + "ground_truth": { + "target_string": "64°45'2.4\"N, 20°57'10.0\"E", + "latitude": 64.75067, + "longitude": 20.95279 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 64.750670, 20.952790", + " Latitude: 64.75067°", + " Longitude: 20.95279°", + "Step 2: Convert latitude to DMS", + " Degrees = 64", + " Minutes = int((64.750670 - 64) × 60) = 45", + " Seconds = ((64.750670 - 64) × 60 - 45) × 60 = 2.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 20", + " Minutes = 57", + " Seconds = 10.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 64°45'2.4\"N, 20°57'10.0\"E", + "FINAL ANSWER: 64°45'2.4\"N, 20°57'10.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Ban Dung", + "source_format": "decimal_degrees", + "source_string": "17.699000, 103.259570", + "target_format": "DMS", + "ground_truth": { + "target_string": "17°41'56.4\"N, 103°15'34.5\"E", + "latitude": 17.699, + "longitude": 103.25957 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 17.699000, 103.259570", + " Latitude: 17.699°", + " Longitude: 103.25957°", + "Step 2: Convert latitude to DMS", + " Degrees = 17", + " Minutes = int((17.699000 - 17) × 60) = 41", + " Seconds = ((17.699000 - 17) × 60 - 41) × 60 = 56.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 103", + " Minutes = 15", + " Seconds = 34.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 17°41'56.4\"N, 103°15'34.5\"E", + "FINAL ANSWER: 17°41'56.4\"N, 103°15'34.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Canarana", + "source_format": "decimal_degrees", + "source_string": "-11.684720, -41.768890", + "target_format": "DMS", + "ground_truth": { + "target_string": "11°41'5.0\"S, 41°46'8.0\"W", + "latitude": -11.68472, + "longitude": -41.76889 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -11.684720, -41.768890", + " Latitude: -11.68472°", + " Longitude: -41.76889°", + "Step 2: Convert latitude to DMS", + " Degrees = 11", + " Minutes = int((11.684720 - 11) × 60) = 41", + " Seconds = ((11.684720 - 11) × 60 - 41) × 60 = 5.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 41", + " Minutes = 46", + " Seconds = 8.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 11°41'5.0\"S, 41°46'8.0\"W", + "FINAL ANSWER: 11°41'5.0\"S, 41°46'8.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Bad Aibling", + "source_format": "DMS", + "source_string": "47°51'49.7\"N, 12°0'38.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "47.863800, 12.010550", + "latitude": 47.8638, + "longitude": 12.01055 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 47°51'49.7\"N, 12°0'38.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 47.8638°", + "Step 4: Calculate longitude", + " Longitude: 12.01055°", + "FINAL ANSWER: 47.863800, 12.010550" + ] + }, + { + "task": "format_conversion", + "location_name": "Redondo Beach", + "source_format": "decimal_degrees", + "source_string": "33.849180, -118.388410", + "target_format": "DMS", + "ground_truth": { + "target_string": "33°50'57.0\"N, 118°23'18.3\"W", + "latitude": 33.84918, + "longitude": -118.38841 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 33.849180, -118.388410", + " Latitude: 33.84918°", + " Longitude: -118.38841°", + "Step 2: Convert latitude to DMS", + " Degrees = 33", + " Minutes = int((33.849180 - 33) × 60) = 50", + " Seconds = ((33.849180 - 33) × 60 - 50) × 60 = 57.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 118", + " Minutes = 23", + " Seconds = 18.3", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 33°50'57.0\"N, 118°23'18.3\"W", + "FINAL ANSWER: 33°50'57.0\"N, 118°23'18.3\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Zarautz", + "source_format": "decimal_degrees", + "source_string": "43.284440, -2.169920", + "target_format": "DMS", + "ground_truth": { + "target_string": "43°17'4.0\"N, 2°10'11.7\"W", + "latitude": 43.28444, + "longitude": -2.16992 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 43.284440, -2.169920", + " Latitude: 43.28444°", + " Longitude: -2.16992°", + "Step 2: Convert latitude to DMS", + " Degrees = 43", + " Minutes = int((43.284440 - 43) × 60) = 17", + " Seconds = ((43.284440 - 43) × 60 - 17) × 60 = 4.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 2", + " Minutes = 10", + " Seconds = 11.7", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 43°17'4.0\"N, 2°10'11.7\"W", + "FINAL ANSWER: 43°17'4.0\"N, 2°10'11.7\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Toyama", + "source_format": "DMS", + "source_string": "36°42'0.0\"N, 137°13'0.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "36.700000, 137.216670", + "latitude": 36.7, + "longitude": 137.21667 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 36°42'0.0\"N, 137°13'0.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 36.7°", + "Step 4: Calculate longitude", + " Longitude: 137.21667°", + "FINAL ANSWER: 36.700000, 137.216670" + ] + }, + { + "task": "format_conversion", + "location_name": "Cachoeiro de Itapemirim", + "source_format": "DMS", + "source_string": "20°50'56.0\"S, 41°6'46.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-20.848890, -41.112780", + "latitude": -20.84889, + "longitude": -41.11278 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 20°50'56.0\"S, 41°6'46.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -20.84889°", + "Step 4: Calculate longitude", + " Longitude: -41.11278°", + "FINAL ANSWER: -20.848890, -41.112780" + ] + }, + { + "task": "format_conversion", + "location_name": "Tegina", + "source_format": "decimal_degrees", + "source_string": "10.070600, 6.190600", + "target_format": "DMS", + "ground_truth": { + "target_string": "10°4'14.2\"N, 6°11'26.2\"E", + "latitude": 10.0706, + "longitude": 6.1906 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 10.070600, 6.190600", + " Latitude: 10.0706°", + " Longitude: 6.1906°", + "Step 2: Convert latitude to DMS", + " Degrees = 10", + " Minutes = int((10.070600 - 10) × 60) = 4", + " Seconds = ((10.070600 - 10) × 60 - 4) × 60 = 14.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 6", + " Minutes = 11", + " Seconds = 26.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 10°4'14.2\"N, 6°11'26.2\"E", + "FINAL ANSWER: 10°4'14.2\"N, 6°11'26.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Itupiranga", + "source_format": "DMS", + "source_string": "5°8'5.0\"S, 49°19'36.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-5.134720, -49.326670", + "latitude": -5.13472, + "longitude": -49.32667 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 5°8'5.0\"S, 49°19'36.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -5.13472°", + "Step 4: Calculate longitude", + " Longitude: -49.32667°", + "FINAL ANSWER: -5.134720, -49.326670" + ] + }, + { + "task": "format_conversion", + "location_name": "Shalqar", + "source_format": "DMS", + "source_string": "47°49'53.5\"N, 59°37'9.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "47.831540, 59.619260", + "latitude": 47.83154, + "longitude": 59.61926 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 47°49'53.5\"N, 59°37'9.3\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 47.83154°", + "Step 4: Calculate longitude", + " Longitude: 59.61926°", + "FINAL ANSWER: 47.831540, 59.619260" + ] + }, + { + "task": "format_conversion", + "location_name": "Bhuban", + "source_format": "DMS", + "source_string": "20°52'55.1\"N, 85°50'0.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "20.881970, 85.833340", + "latitude": 20.88197, + "longitude": 85.83334 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 20°52'55.1\"N, 85°50'0.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 20.88197°", + "Step 4: Calculate longitude", + " Longitude: 85.83334°", + "FINAL ANSWER: 20.881970, 85.833340" + ] + }, + { + "task": "format_conversion", + "location_name": "Porathissery", + "source_format": "decimal_degrees", + "source_string": "10.376380, 76.201490", + "target_format": "DMS", + "ground_truth": { + "target_string": "10°22'35.0\"N, 76°12'5.4\"E", + "latitude": 10.37638, + "longitude": 76.20149 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 10.376380, 76.201490", + " Latitude: 10.37638°", + " Longitude: 76.20149°", + "Step 2: Convert latitude to DMS", + " Degrees = 10", + " Minutes = int((10.376380 - 10) × 60) = 22", + " Seconds = ((10.376380 - 10) × 60 - 22) × 60 = 35.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 76", + " Minutes = 12", + " Seconds = 5.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 10°22'35.0\"N, 76°12'5.4\"E", + "FINAL ANSWER: 10°22'35.0\"N, 76°12'5.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Bom Jesus dos Perdões", + "source_format": "DMS", + "source_string": "23°8'6.0\"S, 46°27'55.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-23.135000, -46.465280", + "latitude": -23.135, + "longitude": -46.46528 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 23°8'6.0\"S, 46°27'55.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -23.135°", + "Step 4: Calculate longitude", + " Longitude: -46.46528°", + "FINAL ANSWER: -23.135000, -46.465280" + ] + }, + { + "task": "format_conversion", + "location_name": "Bohicon", + "source_format": "DMS", + "source_string": "7°10'41.7\"N, 2°4'0.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "7.178260, 2.066700", + "latitude": 7.17826, + "longitude": 2.0667 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 7°10'41.7\"N, 2°4'0.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 7.17826°", + "Step 4: Calculate longitude", + " Longitude: 2.0667°", + "FINAL ANSWER: 7.178260, 2.066700" + ] + }, + { + "task": "format_conversion", + "location_name": "Padre Paraíso", + "source_format": "DMS", + "source_string": "17°4'27.0\"S, 41°29'4.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-17.074170, -41.484440", + "latitude": -17.07417, + "longitude": -41.48444 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 17°4'27.0\"S, 41°29'4.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -17.07417°", + "Step 4: Calculate longitude", + " Longitude: -41.48444°", + "FINAL ANSWER: -17.074170, -41.484440" + ] + }, + { + "task": "format_conversion", + "location_name": "Leduc", + "source_format": "DMS", + "source_string": "53°16'0.6\"N, 113°33'7.2\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "53.266820, -113.552010", + "latitude": 53.26682, + "longitude": -113.55201 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 53°16'0.6\"N, 113°33'7.2\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 53.26682°", + "Step 4: Calculate longitude", + " Longitude: -113.55201°", + "FINAL ANSWER: 53.266820, -113.552010" + ] + }, + { + "task": "format_conversion", + "location_name": "Santo Antônio do Sudoeste", + "source_format": "DMS", + "source_string": "26°4'25.0\"S, 53°43'31.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-26.073610, -53.725280", + "latitude": -26.07361, + "longitude": -53.72528 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 26°4'25.0\"S, 53°43'31.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -26.07361°", + "Step 4: Calculate longitude", + " Longitude: -53.72528°", + "FINAL ANSWER: -26.073610, -53.725280" + ] + }, + { + "task": "format_conversion", + "location_name": "Bulanık", + "source_format": "DMS", + "source_string": "39°5'11.6\"N, 42°16'17.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "39.086560, 42.271580", + "latitude": 39.08656, + "longitude": 42.27158 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 39°5'11.6\"N, 42°16'17.7\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 39.08656°", + "Step 4: Calculate longitude", + " Longitude: 42.27158°", + "FINAL ANSWER: 39.086560, 42.271580" + ] + }, + { + "task": "format_conversion", + "location_name": "Zhukovka", + "source_format": "decimal_degrees", + "source_string": "53.533810, 33.730750", + "target_format": "DMS", + "ground_truth": { + "target_string": "53°32'1.7\"N, 33°43'50.7\"E", + "latitude": 53.53381, + "longitude": 33.73075 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 53.533810, 33.730750", + " Latitude: 53.53381°", + " Longitude: 33.73075°", + "Step 2: Convert latitude to DMS", + " Degrees = 53", + " Minutes = int((53.533810 - 53) × 60) = 32", + " Seconds = ((53.533810 - 53) × 60 - 32) × 60 = 1.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 33", + " Minutes = 43", + " Seconds = 50.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 53°32'1.7\"N, 33°43'50.7\"E", + "FINAL ANSWER: 53°32'1.7\"N, 33°43'50.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kidal", + "source_format": "DMS", + "source_string": "18°26'36.4\"N, 1°24'33.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "18.443450, 1.409210", + "latitude": 18.44345, + "longitude": 1.40921 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 18°26'36.4\"N, 1°24'33.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 18.44345°", + "Step 4: Calculate longitude", + " Longitude: 1.40921°", + "FINAL ANSWER: 18.443450, 1.409210" + ] + }, + { + "task": "format_conversion", + "location_name": "Artashat", + "source_format": "decimal_degrees", + "source_string": "39.954840, 44.548740", + "target_format": "DMS", + "ground_truth": { + "target_string": "39°57'17.4\"N, 44°32'55.5\"E", + "latitude": 39.95484, + "longitude": 44.54874 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 39.954840, 44.548740", + " Latitude: 39.95484°", + " Longitude: 44.54874°", + "Step 2: Convert latitude to DMS", + " Degrees = 39", + " Minutes = int((39.954840 - 39) × 60) = 57", + " Seconds = ((39.954840 - 39) × 60 - 57) × 60 = 17.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 44", + " Minutes = 32", + " Seconds = 55.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 39°57'17.4\"N, 44°32'55.5\"E", + "FINAL ANSWER: 39°57'17.4\"N, 44°32'55.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Guandu", + "source_format": "DMS", + "source_string": "30°4'51.6\"N, 106°25'44.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "30.081010, 106.428970", + "latitude": 30.08101, + "longitude": 106.42897 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 30°4'51.6\"N, 106°25'44.3\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 30.08101°", + "Step 4: Calculate longitude", + " Longitude: 106.42897°", + "FINAL ANSWER: 30.081010, 106.428970" + ] + }, + { + "task": "format_conversion", + "location_name": "Fortress Hill", + "source_format": "DMS", + "source_string": "22°17'18.9\"N, 114°11'39.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "22.288580, 114.194170", + "latitude": 22.28858, + "longitude": 114.19417 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 22°17'18.9\"N, 114°11'39.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 22.28858°", + "Step 4: Calculate longitude", + " Longitude: 114.19417°", + "FINAL ANSWER: 22.288580, 114.194170" + ] + }, + { + "task": "format_conversion", + "location_name": "Ksar El Kebir", + "source_format": "decimal_degrees", + "source_string": "35.000440, -5.903780", + "target_format": "DMS", + "ground_truth": { + "target_string": "35°0'1.6\"N, 5°54'13.6\"W", + "latitude": 35.00044, + "longitude": -5.90378 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 35.000440, -5.903780", + " Latitude: 35.00044°", + " Longitude: -5.90378°", + "Step 2: Convert latitude to DMS", + " Degrees = 35", + " Minutes = int((35.000440 - 35) × 60) = 0", + " Seconds = ((35.000440 - 35) × 60 - 0) × 60 = 1.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 5", + " Minutes = 54", + " Seconds = 13.6", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 35°0'1.6\"N, 5°54'13.6\"W", + "FINAL ANSWER: 35°0'1.6\"N, 5°54'13.6\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Ālankōd", + "source_format": "DMS", + "source_string": "10°44'45.7\"N, 76°2'5.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "10.746030, 76.034810", + "latitude": 10.74603, + "longitude": 76.03481 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 10°44'45.7\"N, 76°2'5.3\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 10.74603°", + "Step 4: Calculate longitude", + " Longitude: 76.03481°", + "FINAL ANSWER: 10.746030, 76.034810" + ] + }, + { + "task": "format_conversion", + "location_name": "Mellunkylä", + "source_format": "DMS", + "source_string": "60°14'0.8\"N, 25°5'58.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "60.233550, 25.099470", + "latitude": 60.23355, + "longitude": 25.09947 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 60°14'0.8\"N, 25°5'58.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 60.23355°", + "Step 4: Calculate longitude", + " Longitude: 25.09947°", + "FINAL ANSWER: 60.233550, 25.099470" + ] + }, + { + "task": "format_conversion", + "location_name": "Dearborn", + "source_format": "decimal_degrees", + "source_string": "42.322260, -83.176310", + "target_format": "DMS", + "ground_truth": { + "target_string": "42°19'20.1\"N, 83°10'34.7\"W", + "latitude": 42.32226, + "longitude": -83.17631 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 42.322260, -83.176310", + " Latitude: 42.32226°", + " Longitude: -83.17631°", + "Step 2: Convert latitude to DMS", + " Degrees = 42", + " Minutes = int((42.322260 - 42) × 60) = 19", + " Seconds = ((42.322260 - 42) × 60 - 19) × 60 = 20.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 83", + " Minutes = 10", + " Seconds = 34.7", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 42°19'20.1\"N, 83°10'34.7\"W", + "FINAL ANSWER: 42°19'20.1\"N, 83°10'34.7\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Wheeling", + "source_format": "DMS", + "source_string": "40°3'50.3\"N, 80°43'15.3\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.063960, -80.720910", + "latitude": 40.06396, + "longitude": -80.72091 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°3'50.3\"N, 80°43'15.3\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 40.06396°", + "Step 4: Calculate longitude", + " Longitude: -80.72091°", + "FINAL ANSWER: 40.063960, -80.720910" + ] + }, + { + "task": "format_conversion", + "location_name": "Pārsābād", + "source_format": "decimal_degrees", + "source_string": "39.648200, 47.917400", + "target_format": "DMS", + "ground_truth": { + "target_string": "39°38'53.5\"N, 47°55'2.6\"E", + "latitude": 39.6482, + "longitude": 47.9174 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 39.648200, 47.917400", + " Latitude: 39.6482°", + " Longitude: 47.9174°", + "Step 2: Convert latitude to DMS", + " Degrees = 39", + " Minutes = int((39.648200 - 39) × 60) = 38", + " Seconds = ((39.648200 - 39) × 60 - 38) × 60 = 53.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 47", + " Minutes = 55", + " Seconds = 2.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 39°38'53.5\"N, 47°55'2.6\"E", + "FINAL ANSWER: 39°38'53.5\"N, 47°55'2.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Ar Rāshidīyah", + "source_format": "decimal_degrees", + "source_string": "25.224990, 55.389470", + "target_format": "DMS", + "ground_truth": { + "target_string": "25°13'30.0\"N, 55°23'22.1\"E", + "latitude": 25.22499, + "longitude": 55.38947 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 25.224990, 55.389470", + " Latitude: 25.22499°", + " Longitude: 55.38947°", + "Step 2: Convert latitude to DMS", + " Degrees = 25", + " Minutes = int((25.224990 - 25) × 60) = 13", + " Seconds = ((25.224990 - 25) × 60 - 13) × 60 = 30.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 55", + " Minutes = 23", + " Seconds = 22.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 25°13'30.0\"N, 55°23'22.1\"E", + "FINAL ANSWER: 25°13'30.0\"N, 55°23'22.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Russeifa", + "source_format": "DMS", + "source_string": "32°1'4.0\"N, 36°2'47.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "32.017780, 36.046390", + "latitude": 32.01778, + "longitude": 36.04639 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 32°1'4.0\"N, 36°2'47.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 32.01778°", + "Step 4: Calculate longitude", + " Longitude: 36.04639°", + "FINAL ANSWER: 32.017780, 36.046390" + ] + }, + { + "task": "format_conversion", + "location_name": "Shāhpura", + "source_format": "DMS", + "source_string": "25°37'15.4\"N, 74°55'29.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "25.620940, 74.924870", + "latitude": 25.62094, + "longitude": 74.92487 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 25°37'15.4\"N, 74°55'29.5\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 25.62094°", + "Step 4: Calculate longitude", + " Longitude: 74.92487°", + "FINAL ANSWER: 25.620940, 74.924870" + ] + }, + { + "task": "format_conversion", + "location_name": "Horsens", + "source_format": "DMS", + "source_string": "55°51'38.4\"N, 9°51'1.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "55.860660, 9.850340", + "latitude": 55.86066, + "longitude": 9.85034 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 55°51'38.4\"N, 9°51'1.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 55.86066°", + "Step 4: Calculate longitude", + " Longitude: 9.85034°", + "FINAL ANSWER: 55.860660, 9.850340" + ] + }, + { + "task": "format_conversion", + "location_name": "Shchëkino", + "source_format": "decimal_degrees", + "source_string": "54.007340, 37.506470", + "target_format": "DMS", + "ground_truth": { + "target_string": "54°0'26.4\"N, 37°30'23.3\"E", + "latitude": 54.00734, + "longitude": 37.50647 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 54.007340, 37.506470", + " Latitude: 54.00734°", + " Longitude: 37.50647°", + "Step 2: Convert latitude to DMS", + " Degrees = 54", + " Minutes = int((54.007340 - 54) × 60) = 0", + " Seconds = ((54.007340 - 54) × 60 - 0) × 60 = 26.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 37", + " Minutes = 30", + " Seconds = 23.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 54°0'26.4\"N, 37°30'23.3\"E", + "FINAL ANSWER: 54°0'26.4\"N, 37°30'23.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Döbling", + "source_format": "decimal_degrees", + "source_string": "48.250000, 16.333330", + "target_format": "DMS", + "ground_truth": { + "target_string": "48°15'0.0\"N, 16°19'60.0\"E", + "latitude": 48.25, + "longitude": 16.33333 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 48.250000, 16.333330", + " Latitude: 48.25°", + " Longitude: 16.33333°", + "Step 2: Convert latitude to DMS", + " Degrees = 48", + " Minutes = int((48.250000 - 48) × 60) = 15", + " Seconds = ((48.250000 - 48) × 60 - 15) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 16", + " Minutes = 19", + " Seconds = 60.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 48°15'0.0\"N, 16°19'60.0\"E", + "FINAL ANSWER: 48°15'0.0\"N, 16°19'60.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Mānesar", + "source_format": "DMS", + "source_string": "28°21'11.2\"N, 76°56'25.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "28.353110, 76.940360", + "latitude": 28.35311, + "longitude": 76.94036 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 28°21'11.2\"N, 76°56'25.3\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 28.35311°", + "Step 4: Calculate longitude", + " Longitude: 76.94036°", + "FINAL ANSWER: 28.353110, 76.940360" + ] + }, + { + "task": "format_conversion", + "location_name": "Richmond", + "source_format": "decimal_degrees", + "source_string": "-41.333330, 173.183330", + "target_format": "DMS", + "ground_truth": { + "target_string": "41°19'60.0\"S, 173°10'60.0\"E", + "latitude": -41.33333, + "longitude": 173.18333 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -41.333330, 173.183330", + " Latitude: -41.33333°", + " Longitude: 173.18333°", + "Step 2: Convert latitude to DMS", + " Degrees = 41", + " Minutes = int((41.333330 - 41) × 60) = 19", + " Seconds = ((41.333330 - 41) × 60 - 19) × 60 = 60.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 173", + " Minutes = 10", + " Seconds = 60.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 41°19'60.0\"S, 173°10'60.0\"E", + "FINAL ANSWER: 41°19'60.0\"S, 173°10'60.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Gornji Milanovac", + "source_format": "decimal_degrees", + "source_string": "44.026030, 20.461520", + "target_format": "DMS", + "ground_truth": { + "target_string": "44°1'33.7\"N, 20°27'41.5\"E", + "latitude": 44.02603, + "longitude": 20.46152 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 44.026030, 20.461520", + " Latitude: 44.02603°", + " Longitude: 20.46152°", + "Step 2: Convert latitude to DMS", + " Degrees = 44", + " Minutes = int((44.026030 - 44) × 60) = 1", + " Seconds = ((44.026030 - 44) × 60 - 1) × 60 = 33.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 20", + " Minutes = 27", + " Seconds = 41.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 44°1'33.7\"N, 20°27'41.5\"E", + "FINAL ANSWER: 44°1'33.7\"N, 20°27'41.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Waterford", + "source_format": "decimal_degrees", + "source_string": "52.258330, -7.111940", + "target_format": "DMS", + "ground_truth": { + "target_string": "52°15'30.0\"N, 7°6'43.0\"W", + "latitude": 52.25833, + "longitude": -7.11194 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 52.258330, -7.111940", + " Latitude: 52.25833°", + " Longitude: -7.11194°", + "Step 2: Convert latitude to DMS", + " Degrees = 52", + " Minutes = int((52.258330 - 52) × 60) = 15", + " Seconds = ((52.258330 - 52) × 60 - 15) × 60 = 30.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 7", + " Minutes = 6", + " Seconds = 43.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 52°15'30.0\"N, 7°6'43.0\"W", + "FINAL ANSWER: 52°15'30.0\"N, 7°6'43.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Santa Fe", + "source_format": "decimal_degrees", + "source_string": "35.686980, -105.937800", + "target_format": "DMS", + "ground_truth": { + "target_string": "35°41'13.1\"N, 105°56'16.1\"W", + "latitude": 35.68698, + "longitude": -105.9378 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 35.686980, -105.937800", + " Latitude: 35.68698°", + " Longitude: -105.9378°", + "Step 2: Convert latitude to DMS", + " Degrees = 35", + " Minutes = int((35.686980 - 35) × 60) = 41", + " Seconds = ((35.686980 - 35) × 60 - 41) × 60 = 13.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 105", + " Minutes = 56", + " Seconds = 16.1", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 35°41'13.1\"N, 105°56'16.1\"W", + "FINAL ANSWER: 35°41'13.1\"N, 105°56'16.1\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Nandikotkūr", + "source_format": "DMS", + "source_string": "15°51'24.0\"N, 78°15'56.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "15.856680, 78.265690", + "latitude": 15.85668, + "longitude": 78.26569 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 15°51'24.0\"N, 78°15'56.5\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 15.85668°", + "Step 4: Calculate longitude", + " Longitude: 78.26569°", + "FINAL ANSWER: 15.856680, 78.265690" + ] + }, + { + "task": "format_conversion", + "location_name": "Sumbal", + "source_format": "decimal_degrees", + "source_string": "34.230720, 74.647200", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°13'50.6\"N, 74°38'49.9\"E", + "latitude": 34.23072, + "longitude": 74.6472 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 34.230720, 74.647200", + " Latitude: 34.23072°", + " Longitude: 74.6472°", + "Step 2: Convert latitude to DMS", + " Degrees = 34", + " Minutes = int((34.230720 - 34) × 60) = 13", + " Seconds = ((34.230720 - 34) × 60 - 13) × 60 = 50.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 74", + " Minutes = 38", + " Seconds = 49.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 34°13'50.6\"N, 74°38'49.9\"E", + "FINAL ANSWER: 34°13'50.6\"N, 74°38'49.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kāfrul", + "source_format": "decimal_degrees", + "source_string": "23.788220, 90.373590", + "target_format": "DMS", + "ground_truth": { + "target_string": "23°47'17.6\"N, 90°22'24.9\"E", + "latitude": 23.78822, + "longitude": 90.37359 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 23.788220, 90.373590", + " Latitude: 23.78822°", + " Longitude: 90.37359°", + "Step 2: Convert latitude to DMS", + " Degrees = 23", + " Minutes = int((23.788220 - 23) × 60) = 47", + " Seconds = ((23.788220 - 23) × 60 - 47) × 60 = 17.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 90", + " Minutes = 22", + " Seconds = 24.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 23°47'17.6\"N, 90°22'24.9\"E", + "FINAL ANSWER: 23°47'17.6\"N, 90°22'24.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Káto Lakatámeia", + "source_format": "DMS", + "source_string": "35°7'3.2\"N, 33°19'31.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "35.117550, 33.325390", + "latitude": 35.11755, + "longitude": 33.32539 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 35°7'3.2\"N, 33°19'31.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 35.11755°", + "Step 4: Calculate longitude", + " Longitude: 33.32539°", + "FINAL ANSWER: 35.117550, 33.325390" + ] + }, + { + "task": "format_conversion", + "location_name": "Zighout Youcef", + "source_format": "decimal_degrees", + "source_string": "36.533070, 6.712370", + "target_format": "DMS", + "ground_truth": { + "target_string": "36°31'59.1\"N, 6°42'44.5\"E", + "latitude": 36.53307, + "longitude": 6.71237 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 36.533070, 6.712370", + " Latitude: 36.53307°", + " Longitude: 6.71237°", + "Step 2: Convert latitude to DMS", + " Degrees = 36", + " Minutes = int((36.533070 - 36) × 60) = 31", + " Seconds = ((36.533070 - 36) × 60 - 31) × 60 = 59.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 6", + " Minutes = 42", + " Seconds = 44.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 36°31'59.1\"N, 6°42'44.5\"E", + "FINAL ANSWER: 36°31'59.1\"N, 6°42'44.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Fāqūs", + "source_format": "decimal_degrees", + "source_string": "30.728160, 31.796970", + "target_format": "DMS", + "ground_truth": { + "target_string": "30°43'41.4\"N, 31°47'49.1\"E", + "latitude": 30.72816, + "longitude": 31.79697 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 30.728160, 31.796970", + " Latitude: 30.72816°", + " Longitude: 31.79697°", + "Step 2: Convert latitude to DMS", + " Degrees = 30", + " Minutes = int((30.728160 - 30) × 60) = 43", + " Seconds = ((30.728160 - 30) × 60 - 43) × 60 = 41.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 31", + " Minutes = 47", + " Seconds = 49.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 30°43'41.4\"N, 31°47'49.1\"E", + "FINAL ANSWER: 30°43'41.4\"N, 31°47'49.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Tucumã", + "source_format": "DMS", + "source_string": "0°9'17.7\"S, 50°3'41.4\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-0.154910, -50.061500", + "latitude": -0.15491, + "longitude": -50.0615 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 0°9'17.7\"S, 50°3'41.4\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -0.15491°", + "Step 4: Calculate longitude", + " Longitude: -50.0615°", + "FINAL ANSWER: -0.154910, -50.061500" + ] + }, + { + "task": "format_conversion", + "location_name": "Rock Forest", + "source_format": "decimal_degrees", + "source_string": "45.356990, -71.996760", + "target_format": "DMS", + "ground_truth": { + "target_string": "45°21'25.2\"N, 71°59'48.3\"W", + "latitude": 45.35699, + "longitude": -71.99676 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 45.356990, -71.996760", + " Latitude: 45.35699°", + " Longitude: -71.99676°", + "Step 2: Convert latitude to DMS", + " Degrees = 45", + " Minutes = int((45.356990 - 45) × 60) = 21", + " Seconds = ((45.356990 - 45) × 60 - 21) × 60 = 25.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 71", + " Minutes = 59", + " Seconds = 48.3", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 45°21'25.2\"N, 71°59'48.3\"W", + "FINAL ANSWER: 45°21'25.2\"N, 71°59'48.3\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Haugesund", + "source_format": "DMS", + "source_string": "59°24'49.6\"N, 5°16'4.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "59.413780, 5.268000", + "latitude": 59.41378, + "longitude": 5.268 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 59°24'49.6\"N, 5°16'4.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 59.41378°", + "Step 4: Calculate longitude", + " Longitude: 5.268°", + "FINAL ANSWER: 59.413780, 5.268000" + ] + }, + { + "task": "format_conversion", + "location_name": "Gangākher", + "source_format": "decimal_degrees", + "source_string": "18.969620, 76.749460", + "target_format": "DMS", + "ground_truth": { + "target_string": "18°58'10.6\"N, 76°44'58.1\"E", + "latitude": 18.96962, + "longitude": 76.74946 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 18.969620, 76.749460", + " Latitude: 18.96962°", + " Longitude: 76.74946°", + "Step 2: Convert latitude to DMS", + " Degrees = 18", + " Minutes = int((18.969620 - 18) × 60) = 58", + " Seconds = ((18.969620 - 18) × 60 - 58) × 60 = 10.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 76", + " Minutes = 44", + " Seconds = 58.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 18°58'10.6\"N, 76°44'58.1\"E", + "FINAL ANSWER: 18°58'10.6\"N, 76°44'58.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Opa-locka", + "source_format": "decimal_degrees", + "source_string": "25.902320, -80.250330", + "target_format": "DMS", + "ground_truth": { + "target_string": "25°54'8.4\"N, 80°15'1.2\"W", + "latitude": 25.90232, + "longitude": -80.25033 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 25.902320, -80.250330", + " Latitude: 25.90232°", + " Longitude: -80.25033°", + "Step 2: Convert latitude to DMS", + " Degrees = 25", + " Minutes = int((25.902320 - 25) × 60) = 54", + " Seconds = ((25.902320 - 25) × 60 - 54) × 60 = 8.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 80", + " Minutes = 15", + " Seconds = 1.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 25°54'8.4\"N, 80°15'1.2\"W", + "FINAL ANSWER: 25°54'8.4\"N, 80°15'1.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Estepona", + "source_format": "DMS", + "source_string": "36°25'39.5\"N, 5°8'45.2\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "36.427640, -5.145890", + "latitude": 36.42764, + "longitude": -5.14589 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 36°25'39.5\"N, 5°8'45.2\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 36.42764°", + "Step 4: Calculate longitude", + " Longitude: -5.14589°", + "FINAL ANSWER: 36.427640, -5.145890" + ] + }, + { + "task": "format_conversion", + "location_name": "Atarra", + "source_format": "decimal_degrees", + "source_string": "25.286180, 80.571550", + "target_format": "DMS", + "ground_truth": { + "target_string": "25°17'10.2\"N, 80°34'17.6\"E", + "latitude": 25.28618, + "longitude": 80.57155 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 25.286180, 80.571550", + " Latitude: 25.28618°", + " Longitude: 80.57155°", + "Step 2: Convert latitude to DMS", + " Degrees = 25", + " Minutes = int((25.286180 - 25) × 60) = 17", + " Seconds = ((25.286180 - 25) × 60 - 17) × 60 = 10.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 80", + " Minutes = 34", + " Seconds = 17.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 25°17'10.2\"N, 80°34'17.6\"E", + "FINAL ANSWER: 25°17'10.2\"N, 80°34'17.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Matam", + "source_format": "DMS", + "source_string": "15°39'21.1\"N, 13°15'19.6\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "15.655870, -13.255440", + "latitude": 15.65587, + "longitude": -13.25544 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 15°39'21.1\"N, 13°15'19.6\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 15.65587°", + "Step 4: Calculate longitude", + " Longitude: -13.25544°", + "FINAL ANSWER: 15.655870, -13.255440" + ] + }, + { + "task": "format_conversion", + "location_name": "Sollentuna", + "source_format": "DMS", + "source_string": "59°25'40.9\"N, 17°57'3.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "59.428040, 17.950930", + "latitude": 59.42804, + "longitude": 17.95093 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 59°25'40.9\"N, 17°57'3.3\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 59.42804°", + "Step 4: Calculate longitude", + " Longitude: 17.95093°", + "FINAL ANSWER: 59.428040, 17.950930" + ] + }, + { + "task": "format_conversion", + "location_name": "Mühlheim am Main", + "source_format": "decimal_degrees", + "source_string": "50.116670, 8.833330", + "target_format": "DMS", + "ground_truth": { + "target_string": "50°7'0.0\"N, 8°49'60.0\"E", + "latitude": 50.11667, + "longitude": 8.83333 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 50.116670, 8.833330", + " Latitude: 50.11667°", + " Longitude: 8.83333°", + "Step 2: Convert latitude to DMS", + " Degrees = 50", + " Minutes = int((50.116670 - 50) × 60) = 7", + " Seconds = ((50.116670 - 50) × 60 - 7) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 8", + " Minutes = 49", + " Seconds = 60.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 50°7'0.0\"N, 8°49'60.0\"E", + "FINAL ANSWER: 50°7'0.0\"N, 8°49'60.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Vejalpur", + "source_format": "decimal_degrees", + "source_string": "22.690210, 73.562990", + "target_format": "DMS", + "ground_truth": { + "target_string": "22°41'24.8\"N, 73°33'46.8\"E", + "latitude": 22.69021, + "longitude": 73.56299 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 22.690210, 73.562990", + " Latitude: 22.69021°", + " Longitude: 73.56299°", + "Step 2: Convert latitude to DMS", + " Degrees = 22", + " Minutes = int((22.690210 - 22) × 60) = 41", + " Seconds = ((22.690210 - 22) × 60 - 41) × 60 = 24.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 73", + " Minutes = 33", + " Seconds = 46.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 22°41'24.8\"N, 73°33'46.8\"E", + "FINAL ANSWER: 22°41'24.8\"N, 73°33'46.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Siedlce", + "source_format": "DMS", + "source_string": "52°10'3.8\"N, 22°17'24.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "52.167720, 22.290060", + "latitude": 52.16772, + "longitude": 22.29006 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 52°10'3.8\"N, 22°17'24.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 52.16772°", + "Step 4: Calculate longitude", + " Longitude: 22.29006°", + "FINAL ANSWER: 52.167720, 22.290060" + ] + }, + { + "task": "format_conversion", + "location_name": "Izumo", + "source_format": "DMS", + "source_string": "35°22'0.0\"N, 132°46'0.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "35.366670, 132.766670", + "latitude": 35.36667, + "longitude": 132.76667 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 35°22'0.0\"N, 132°46'0.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 35.36667°", + "Step 4: Calculate longitude", + " Longitude: 132.76667°", + "FINAL ANSWER: 35.366670, 132.766670" + ] + }, + { + "task": "format_conversion", + "location_name": "Oktyabrsky", + "source_format": "DMS", + "source_string": "54°28'53.3\"N, 53°28'15.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "54.481470, 53.471030", + "latitude": 54.48147, + "longitude": 53.47103 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 54°28'53.3\"N, 53°28'15.7\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 54.48147°", + "Step 4: Calculate longitude", + " Longitude: 53.47103°", + "FINAL ANSWER: 54.481470, 53.471030" + ] + }, + { + "task": "format_conversion", + "location_name": "Botoşani", + "source_format": "decimal_degrees", + "source_string": "47.750000, 26.666670", + "target_format": "DMS", + "ground_truth": { + "target_string": "47°45'0.0\"N, 26°40'0.0\"E", + "latitude": 47.75, + "longitude": 26.66667 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 47.750000, 26.666670", + " Latitude: 47.75°", + " Longitude: 26.66667°", + "Step 2: Convert latitude to DMS", + " Degrees = 47", + " Minutes = int((47.750000 - 47) × 60) = 45", + " Seconds = ((47.750000 - 47) × 60 - 45) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 26", + " Minutes = 40", + " Seconds = 0.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 47°45'0.0\"N, 26°40'0.0\"E", + "FINAL ANSWER: 47°45'0.0\"N, 26°40'0.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Swinton", + "source_format": "DMS", + "source_string": "53°30'0.0\"N, 2°21'0.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "53.500000, -2.350000", + "latitude": 53.5, + "longitude": -2.35 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 53°30'0.0\"N, 2°21'0.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 53.5°", + "Step 4: Calculate longitude", + " Longitude: -2.35°", + "FINAL ANSWER: 53.500000, -2.350000" + ] + }, + { + "task": "format_conversion", + "location_name": "Kolkhozobod", + "source_format": "decimal_degrees", + "source_string": "37.588230, 68.658860", + "target_format": "DMS", + "ground_truth": { + "target_string": "37°35'17.6\"N, 68°39'31.9\"E", + "latitude": 37.58823, + "longitude": 68.65886 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 37.588230, 68.658860", + " Latitude: 37.58823°", + " Longitude: 68.65886°", + "Step 2: Convert latitude to DMS", + " Degrees = 37", + " Minutes = int((37.588230 - 37) × 60) = 35", + " Seconds = ((37.588230 - 37) × 60 - 35) × 60 = 17.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 68", + " Minutes = 39", + " Seconds = 31.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 37°35'17.6\"N, 68°39'31.9\"E", + "FINAL ANSWER: 37°35'17.6\"N, 68°39'31.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Pedro Canário", + "source_format": "DMS", + "source_string": "18°1'49.0\"S, 40°9'2.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-18.030280, -40.150560", + "latitude": -18.03028, + "longitude": -40.15056 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 18°1'49.0\"S, 40°9'2.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -18.03028°", + "Step 4: Calculate longitude", + " Longitude: -40.15056°", + "FINAL ANSWER: -18.030280, -40.150560" + ] + }, + { + "task": "format_conversion", + "location_name": "Māndal", + "source_format": "DD", + "source_string": "25.441260, 74.569790", + "target_format": "DMS", + "ground_truth": { + "target_string": "25°26'28.5\"N, 74°34'11.2\"E", + "latitude": 25.44126, + "longitude": 74.56979 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: 25.441260, 74.569790", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 25°26'28.5\"N, 74°34'11.2\"E", + "FINAL ANSWER: 25°26'28.5\"N, 74°34'11.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Shahhat", + "source_format": "DMS", + "source_string": "32°48'15.5\"N, 21°51'57.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "32.804300, 21.866050", + "latitude": 32.8043, + "longitude": 21.86605 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 32°48'15.5\"N, 21°51'57.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 32.8043°", + "Step 4: Calculate longitude", + " Longitude: 21.86605°", + "FINAL ANSWER: 32.804300, 21.866050" + ] + }, + { + "task": "format_conversion", + "location_name": "Gujar Khan", + "source_format": "decimal_degrees", + "source_string": "33.254110, 73.304330", + "target_format": "DMS", + "ground_truth": { + "target_string": "33°15'14.8\"N, 73°18'15.6\"E", + "latitude": 33.25411, + "longitude": 73.30433 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 33.254110, 73.304330", + " Latitude: 33.25411°", + " Longitude: 73.30433°", + "Step 2: Convert latitude to DMS", + " Degrees = 33", + " Minutes = int((33.254110 - 33) × 60) = 15", + " Seconds = ((33.254110 - 33) × 60 - 15) × 60 = 14.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 73", + " Minutes = 18", + " Seconds = 15.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 33°15'14.8\"N, 73°18'15.6\"E", + "FINAL ANSWER: 33°15'14.8\"N, 73°18'15.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Ürgüp", + "source_format": "DMS", + "source_string": "38°37'46.6\"N, 34°54'43.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "38.629600, 34.911990", + "latitude": 38.6296, + "longitude": 34.91199 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 38°37'46.6\"N, 34°54'43.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 38.6296°", + "Step 4: Calculate longitude", + " Longitude: 34.91199°", + "FINAL ANSWER: 38.629600, 34.911990" + ] + }, + { + "task": "format_conversion", + "location_name": "Oshkosh", + "source_format": "DMS", + "source_string": "44°1'29.0\"N, 88°32'33.4\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "44.024710, -88.542610", + "latitude": 44.02471, + "longitude": -88.54261 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 44°1'29.0\"N, 88°32'33.4\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 44.02471°", + "Step 4: Calculate longitude", + " Longitude: -88.54261°", + "FINAL ANSWER: 44.024710, -88.542610" + ] + }, + { + "task": "format_conversion", + "location_name": "Cachan", + "source_format": "DMS", + "source_string": "48°47'46.8\"N, 2°20'11.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "48.796320, 2.336610", + "latitude": 48.79632, + "longitude": 2.33661 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 48°47'46.8\"N, 2°20'11.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 48.79632°", + "Step 4: Calculate longitude", + " Longitude: 2.33661°", + "FINAL ANSWER: 48.796320, 2.336610" + ] + }, + { + "task": "format_conversion", + "location_name": "Nanminda", + "source_format": "DMS", + "source_string": "11°25'23.7\"N, 75°49'23.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "11.423250, 75.823080", + "latitude": 11.42325, + "longitude": 75.82308 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 11°25'23.7\"N, 75°49'23.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 11.42325°", + "Step 4: Calculate longitude", + " Longitude: 75.82308°", + "FINAL ANSWER: 11.423250, 75.823080" + ] + }, + { + "task": "format_conversion", + "location_name": "Lālpur", + "source_format": "DMS", + "source_string": "22°11'26.6\"N, 69°57'48.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "22.190730, 69.963510", + "latitude": 22.19073, + "longitude": 69.96351 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 22°11'26.6\"N, 69°57'48.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 22.19073°", + "Step 4: Calculate longitude", + " Longitude: 69.96351°", + "FINAL ANSWER: 22.190730, 69.963510" + ] + }, + { + "task": "format_conversion", + "location_name": "Biysk", + "source_format": "decimal_degrees", + "source_string": "52.534230, 85.196610", + "target_format": "DMS", + "ground_truth": { + "target_string": "52°32'3.2\"N, 85°11'47.8\"E", + "latitude": 52.53423, + "longitude": 85.19661 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 52.534230, 85.196610", + " Latitude: 52.53423°", + " Longitude: 85.19661°", + "Step 2: Convert latitude to DMS", + " Degrees = 52", + " Minutes = int((52.534230 - 52) × 60) = 32", + " Seconds = ((52.534230 - 52) × 60 - 32) × 60 = 3.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 85", + " Minutes = 11", + " Seconds = 47.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 52°32'3.2\"N, 85°11'47.8\"E", + "FINAL ANSWER: 52°32'3.2\"N, 85°11'47.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Aguelmous", + "source_format": "DMS", + "source_string": "33°9'41.0\"N, 5°50'46.5\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "33.161390, -5.846260", + "latitude": 33.16139, + "longitude": -5.84626 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 33°9'41.0\"N, 5°50'46.5\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 33.16139°", + "Step 4: Calculate longitude", + " Longitude: -5.84626°", + "FINAL ANSWER: 33.161390, -5.846260" + ] + }, + { + "task": "format_conversion", + "location_name": "Mountain View", + "source_format": "decimal_degrees", + "source_string": "37.386050, -122.083850", + "target_format": "DMS", + "ground_truth": { + "target_string": "37°23'9.8\"N, 122°5'1.9\"W", + "latitude": 37.38605, + "longitude": -122.08385 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 37.386050, -122.083850", + " Latitude: 37.38605°", + " Longitude: -122.08385°", + "Step 2: Convert latitude to DMS", + " Degrees = 37", + " Minutes = int((37.386050 - 37) × 60) = 23", + " Seconds = ((37.386050 - 37) × 60 - 23) × 60 = 9.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 122", + " Minutes = 5", + " Seconds = 1.9", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 37°23'9.8\"N, 122°5'1.9\"W", + "FINAL ANSWER: 37°23'9.8\"N, 122°5'1.9\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Rangia", + "source_format": "decimal_degrees", + "source_string": "26.449310, 91.613560", + "target_format": "DMS", + "ground_truth": { + "target_string": "26°26'57.5\"N, 91°36'48.8\"E", + "latitude": 26.44931, + "longitude": 91.61356 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 26.449310, 91.613560", + " Latitude: 26.44931°", + " Longitude: 91.61356°", + "Step 2: Convert latitude to DMS", + " Degrees = 26", + " Minutes = int((26.449310 - 26) × 60) = 26", + " Seconds = ((26.449310 - 26) × 60 - 26) × 60 = 57.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 91", + " Minutes = 36", + " Seconds = 48.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 26°26'57.5\"N, 91°36'48.8\"E", + "FINAL ANSWER: 26°26'57.5\"N, 91°36'48.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Balezino", + "source_format": "DMS", + "source_string": "57°58'43.3\"N, 53°0'49.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "57.978700, 53.013800", + "latitude": 57.9787, + "longitude": 53.0138 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 57°58'43.3\"N, 53°0'49.7\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 57.9787°", + "Step 4: Calculate longitude", + " Longitude: 53.0138°", + "FINAL ANSWER: 57.978700, 53.013800" + ] + }, + { + "task": "format_conversion", + "location_name": "Matsudo", + "source_format": "decimal_degrees", + "source_string": "35.779950, 139.901440", + "target_format": "DMS", + "ground_truth": { + "target_string": "35°46'47.8\"N, 139°54'5.2\"E", + "latitude": 35.77995, + "longitude": 139.90144 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 35.779950, 139.901440", + " Latitude: 35.77995°", + " Longitude: 139.90144°", + "Step 2: Convert latitude to DMS", + " Degrees = 35", + " Minutes = int((35.779950 - 35) × 60) = 46", + " Seconds = ((35.779950 - 35) × 60 - 46) × 60 = 47.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 139", + " Minutes = 54", + " Seconds = 5.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 35°46'47.8\"N, 139°54'5.2\"E", + "FINAL ANSWER: 35°46'47.8\"N, 139°54'5.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kriel", + "source_format": "DMS", + "source_string": "26°15'0.0\"S, 29°15'36.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-26.250000, 29.260000", + "latitude": -26.25, + "longitude": 29.26 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 26°15'0.0\"S, 29°15'36.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -26.25°", + "Step 4: Calculate longitude", + " Longitude: 29.26°", + "FINAL ANSWER: -26.250000, 29.260000" + ] + }, + { + "task": "format_conversion", + "location_name": "Phalia", + "source_format": "decimal_degrees", + "source_string": "32.431040, 73.579000", + "target_format": "DMS", + "ground_truth": { + "target_string": "32°25'51.7\"N, 73°34'44.4\"E", + "latitude": 32.43104, + "longitude": 73.579 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 32.431040, 73.579000", + " Latitude: 32.43104°", + " Longitude: 73.579°", + "Step 2: Convert latitude to DMS", + " Degrees = 32", + " Minutes = int((32.431040 - 32) × 60) = 25", + " Seconds = ((32.431040 - 32) × 60 - 25) × 60 = 51.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 73", + " Minutes = 34", + " Seconds = 44.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 32°25'51.7\"N, 73°34'44.4\"E", + "FINAL ANSWER: 32°25'51.7\"N, 73°34'44.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Seseña", + "source_format": "DMS", + "source_string": "40°6'17.0\"N, 3°41'52.5\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.104730, -3.697930", + "latitude": 40.10473, + "longitude": -3.69793 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°6'17.0\"N, 3°41'52.5\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 40.10473°", + "Step 4: Calculate longitude", + " Longitude: -3.69793°", + "FINAL ANSWER: 40.104730, -3.697930" + ] + }, + { + "task": "format_conversion", + "location_name": "Al Qanāyāt", + "source_format": "decimal_degrees", + "source_string": "30.619270, 31.461650", + "target_format": "DMS", + "ground_truth": { + "target_string": "30°37'9.4\"N, 31°27'41.9\"E", + "latitude": 30.61927, + "longitude": 31.46165 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 30.619270, 31.461650", + " Latitude: 30.61927°", + " Longitude: 31.46165°", + "Step 2: Convert latitude to DMS", + " Degrees = 30", + " Minutes = int((30.619270 - 30) × 60) = 37", + " Seconds = ((30.619270 - 30) × 60 - 37) × 60 = 9.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 31", + " Minutes = 27", + " Seconds = 41.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 30°37'9.4\"N, 31°27'41.9\"E", + "FINAL ANSWER: 30°37'9.4\"N, 31°27'41.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Ústí nad Labem", + "source_format": "DMS", + "source_string": "50°39'38.5\"N, 14°1'56.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "50.660700, 14.032270", + "latitude": 50.6607, + "longitude": 14.03227 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 50°39'38.5\"N, 14°1'56.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 50.6607°", + "Step 4: Calculate longitude", + " Longitude: 14.03227°", + "FINAL ANSWER: 50.660700, 14.032270" + ] + }, + { + "task": "format_conversion", + "location_name": "Al Fayyum", + "source_format": "DMS", + "source_string": "29°18'35.8\"N, 30°50'30.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "29.309950, 30.841800", + "latitude": 29.30995, + "longitude": 30.8418 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 29°18'35.8\"N, 30°50'30.5\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 29.30995°", + "Step 4: Calculate longitude", + " Longitude: 30.8418°", + "FINAL ANSWER: 29.309950, 30.841800" + ] + }, + { + "task": "format_conversion", + "location_name": "Muhamma", + "source_format": "decimal_degrees", + "source_string": "9.608860, 76.360830", + "target_format": "DMS", + "ground_truth": { + "target_string": "9°36'31.9\"N, 76°21'39.0\"E", + "latitude": 9.60886, + "longitude": 76.36083 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 9.608860, 76.360830", + " Latitude: 9.60886°", + " Longitude: 76.36083°", + "Step 2: Convert latitude to DMS", + " Degrees = 9", + " Minutes = int((9.608860 - 9) × 60) = 36", + " Seconds = ((9.608860 - 9) × 60 - 36) × 60 = 31.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 76", + " Minutes = 21", + " Seconds = 39.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 9°36'31.9\"N, 76°21'39.0\"E", + "FINAL ANSWER: 9°36'31.9\"N, 76°21'39.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Ulanqab", + "source_format": "DD", + "source_string": "40.993000, 113.133000", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°59'34.8\"N, 113°7'58.8\"E", + "latitude": 40.993, + "longitude": 113.133 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: 40.993000, 113.133000", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 40°59'34.8\"N, 113°7'58.8\"E", + "FINAL ANSWER: 40°59'34.8\"N, 113°7'58.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Geldern", + "source_format": "decimal_degrees", + "source_string": "51.519080, 6.323630", + "target_format": "DMS", + "ground_truth": { + "target_string": "51°31'8.7\"N, 6°19'25.1\"E", + "latitude": 51.51908, + "longitude": 6.32363 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 51.519080, 6.323630", + " Latitude: 51.51908°", + " Longitude: 6.32363°", + "Step 2: Convert latitude to DMS", + " Degrees = 51", + " Minutes = int((51.519080 - 51) × 60) = 31", + " Seconds = ((51.519080 - 51) × 60 - 31) × 60 = 8.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 6", + " Minutes = 19", + " Seconds = 25.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 51°31'8.7\"N, 6°19'25.1\"E", + "FINAL ANSWER: 51°31'8.7\"N, 6°19'25.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Dzhankoi", + "source_format": "DMS", + "source_string": "45°42'47.2\"N, 34°23'33.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "45.713100, 34.392730", + "latitude": 45.7131, + "longitude": 34.39273 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 45°42'47.2\"N, 34°23'33.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 45.7131°", + "Step 4: Calculate longitude", + " Longitude: 34.39273°", + "FINAL ANSWER: 45.713100, 34.392730" + ] + }, + { + "task": "format_conversion", + "location_name": "Camberley", + "source_format": "decimal_degrees", + "source_string": "51.337050, -0.742610", + "target_format": "DMS", + "ground_truth": { + "target_string": "51°20'13.4\"N, 0°44'33.4\"W", + "latitude": 51.33705, + "longitude": -0.74261 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 51.337050, -0.742610", + " Latitude: 51.33705°", + " Longitude: -0.74261°", + "Step 2: Convert latitude to DMS", + " Degrees = 51", + " Minutes = int((51.337050 - 51) × 60) = 20", + " Seconds = ((51.337050 - 51) × 60 - 20) × 60 = 13.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 0", + " Minutes = 44", + " Seconds = 33.4", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 51°20'13.4\"N, 0°44'33.4\"W", + "FINAL ANSWER: 51°20'13.4\"N, 0°44'33.4\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Blanquefort", + "source_format": "DMS", + "source_string": "44°54'38.3\"N, 0°38'15.3\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "44.910650, -0.637580", + "latitude": 44.91065, + "longitude": -0.63758 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 44°54'38.3\"N, 0°38'15.3\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 44.91065°", + "Step 4: Calculate longitude", + " Longitude: -0.63758°", + "FINAL ANSWER: 44.910650, -0.637580" + ] + }, + { + "task": "format_conversion", + "location_name": "Yamada", + "source_format": "DMS", + "source_string": "39°28'0.0\"N, 141°56'60.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "39.466670, 141.950000", + "latitude": 39.46667, + "longitude": 141.95 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 39°28'0.0\"N, 141°56'60.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 39.46667°", + "Step 4: Calculate longitude", + " Longitude: 141.95°", + "FINAL ANSWER: 39.466670, 141.950000" + ] + }, + { + "task": "format_conversion", + "location_name": "Prince Edward", + "source_format": "decimal_degrees", + "source_string": "44.000120, -77.249460", + "target_format": "DMS", + "ground_truth": { + "target_string": "44°0'0.4\"N, 77°14'58.1\"W", + "latitude": 44.00012, + "longitude": -77.24946 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 44.000120, -77.249460", + " Latitude: 44.00012°", + " Longitude: -77.24946°", + "Step 2: Convert latitude to DMS", + " Degrees = 44", + " Minutes = int((44.000120 - 44) × 60) = 0", + " Seconds = ((44.000120 - 44) × 60 - 0) × 60 = 0.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 77", + " Minutes = 14", + " Seconds = 58.1", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 44°0'0.4\"N, 77°14'58.1\"W", + "FINAL ANSWER: 44°0'0.4\"N, 77°14'58.1\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Takoma Park", + "source_format": "decimal_degrees", + "source_string": "38.977890, -77.007480", + "target_format": "DMS", + "ground_truth": { + "target_string": "38°58'40.4\"N, 77°0'26.9\"W", + "latitude": 38.97789, + "longitude": -77.00748 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 38.977890, -77.007480", + " Latitude: 38.97789°", + " Longitude: -77.00748°", + "Step 2: Convert latitude to DMS", + " Degrees = 38", + " Minutes = int((38.977890 - 38) × 60) = 58", + " Seconds = ((38.977890 - 38) × 60 - 58) × 60 = 40.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 77", + " Minutes = 0", + " Seconds = 26.9", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 38°58'40.4\"N, 77°0'26.9\"W", + "FINAL ANSWER: 38°58'40.4\"N, 77°0'26.9\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Tifrā", + "source_format": "decimal_degrees", + "source_string": "22.063120, 82.131290", + "target_format": "DMS", + "ground_truth": { + "target_string": "22°3'47.2\"N, 82°7'52.6\"E", + "latitude": 22.06312, + "longitude": 82.13129 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 22.063120, 82.131290", + " Latitude: 22.06312°", + " Longitude: 82.13129°", + "Step 2: Convert latitude to DMS", + " Degrees = 22", + " Minutes = int((22.063120 - 22) × 60) = 3", + " Seconds = ((22.063120 - 22) × 60 - 3) × 60 = 47.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 82", + " Minutes = 7", + " Seconds = 52.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 22°3'47.2\"N, 82°7'52.6\"E", + "FINAL ANSWER: 22°3'47.2\"N, 82°7'52.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Pokrov", + "source_format": "decimal_degrees", + "source_string": "55.917970, 39.172420", + "target_format": "DMS", + "ground_truth": { + "target_string": "55°55'4.7\"N, 39°10'20.7\"E", + "latitude": 55.91797, + "longitude": 39.17242 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 55.917970, 39.172420", + " Latitude: 55.91797°", + " Longitude: 39.17242°", + "Step 2: Convert latitude to DMS", + " Degrees = 55", + " Minutes = int((55.917970 - 55) × 60) = 55", + " Seconds = ((55.917970 - 55) × 60 - 55) × 60 = 4.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 39", + " Minutes = 10", + " Seconds = 20.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 55°55'4.7\"N, 39°10'20.7\"E", + "FINAL ANSWER: 55°55'4.7\"N, 39°10'20.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Somerset", + "source_format": "decimal_degrees", + "source_string": "40.497600, -74.488490", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°29'51.4\"N, 74°29'18.6\"W", + "latitude": 40.4976, + "longitude": -74.48849 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.497600, -74.488490", + " Latitude: 40.4976°", + " Longitude: -74.48849°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.497600 - 40) × 60) = 29", + " Seconds = ((40.497600 - 40) × 60 - 29) × 60 = 51.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 74", + " Minutes = 29", + " Seconds = 18.6", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 40°29'51.4\"N, 74°29'18.6\"W", + "FINAL ANSWER: 40°29'51.4\"N, 74°29'18.6\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Mingguang", + "source_format": "DMS", + "source_string": "25°29'35.3\"N, 98°32'29.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "25.493140, 98.541530", + "latitude": 25.49314, + "longitude": 98.54153 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 25°29'35.3\"N, 98°32'29.5\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 25.49314°", + "Step 4: Calculate longitude", + " Longitude: 98.54153°", + "FINAL ANSWER: 25.493140, 98.541530" + ] + }, + { + "task": "format_conversion", + "location_name": "Toshām", + "source_format": "DMS", + "source_string": "28°52'11.7\"N, 75°54'59.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "28.869930, 75.916500", + "latitude": 28.86993, + "longitude": 75.9165 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 28°52'11.7\"N, 75°54'59.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 28.86993°", + "Step 4: Calculate longitude", + " Longitude: 75.9165°", + "FINAL ANSWER: 28.869930, 75.916500" + ] + }, + { + "task": "format_conversion", + "location_name": "Ishinari", + "source_format": "decimal_degrees", + "source_string": "33.361540, 130.404760", + "target_format": "DMS", + "ground_truth": { + "target_string": "33°21'41.5\"N, 130°24'17.1\"E", + "latitude": 33.36154, + "longitude": 130.40476 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 33.361540, 130.404760", + " Latitude: 33.36154°", + " Longitude: 130.40476°", + "Step 2: Convert latitude to DMS", + " Degrees = 33", + " Minutes = int((33.361540 - 33) × 60) = 21", + " Seconds = ((33.361540 - 33) × 60 - 21) × 60 = 41.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 130", + " Minutes = 24", + " Seconds = 17.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 33°21'41.5\"N, 130°24'17.1\"E", + "FINAL ANSWER: 33°21'41.5\"N, 130°24'17.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Flörsheim", + "source_format": "decimal_degrees", + "source_string": "50.013110, 8.427790", + "target_format": "DMS", + "ground_truth": { + "target_string": "50°0'47.2\"N, 8°25'40.0\"E", + "latitude": 50.01311, + "longitude": 8.42779 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 50.013110, 8.427790", + " Latitude: 50.01311°", + " Longitude: 8.42779°", + "Step 2: Convert latitude to DMS", + " Degrees = 50", + " Minutes = int((50.013110 - 50) × 60) = 0", + " Seconds = ((50.013110 - 50) × 60 - 0) × 60 = 47.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 8", + " Minutes = 25", + " Seconds = 40.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 50°0'47.2\"N, 8°25'40.0\"E", + "FINAL ANSWER: 50°0'47.2\"N, 8°25'40.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Dabwāli", + "source_format": "decimal_degrees", + "source_string": "29.949060, 74.738320", + "target_format": "DMS", + "ground_truth": { + "target_string": "29°56'56.6\"N, 74°44'18.0\"E", + "latitude": 29.94906, + "longitude": 74.73832 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 29.949060, 74.738320", + " Latitude: 29.94906°", + " Longitude: 74.73832°", + "Step 2: Convert latitude to DMS", + " Degrees = 29", + " Minutes = int((29.949060 - 29) × 60) = 56", + " Seconds = ((29.949060 - 29) × 60 - 56) × 60 = 56.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 74", + " Minutes = 44", + " Seconds = 18.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 29°56'56.6\"N, 74°44'18.0\"E", + "FINAL ANSWER: 29°56'56.6\"N, 74°44'18.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Heusy", + "source_format": "decimal_degrees", + "source_string": "50.574570, 5.866180", + "target_format": "DMS", + "ground_truth": { + "target_string": "50°34'28.5\"N, 5°51'58.2\"E", + "latitude": 50.57457, + "longitude": 5.86618 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 50.574570, 5.866180", + " Latitude: 50.57457°", + " Longitude: 5.86618°", + "Step 2: Convert latitude to DMS", + " Degrees = 50", + " Minutes = int((50.574570 - 50) × 60) = 34", + " Seconds = ((50.574570 - 50) × 60 - 34) × 60 = 28.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 5", + " Minutes = 51", + " Seconds = 58.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 50°34'28.5\"N, 5°51'58.2\"E", + "FINAL ANSWER: 50°34'28.5\"N, 5°51'58.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Vedado", + "source_format": "decimal_degrees", + "source_string": "23.137670, -82.393390", + "target_format": "DMS", + "ground_truth": { + "target_string": "23°8'15.6\"N, 82°23'36.2\"W", + "latitude": 23.13767, + "longitude": -82.39339 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 23.137670, -82.393390", + " Latitude: 23.13767°", + " Longitude: -82.39339°", + "Step 2: Convert latitude to DMS", + " Degrees = 23", + " Minutes = int((23.137670 - 23) × 60) = 8", + " Seconds = ((23.137670 - 23) × 60 - 8) × 60 = 15.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 82", + " Minutes = 23", + " Seconds = 36.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 23°8'15.6\"N, 82°23'36.2\"W", + "FINAL ANSWER: 23°8'15.6\"N, 82°23'36.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Rivas", + "source_format": "DMS", + "source_string": "11°26'23.2\"N, 85°49'39.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "11.439770, -85.827490", + "latitude": 11.43977, + "longitude": -85.82749 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 11°26'23.2\"N, 85°49'39.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 11.43977°", + "Step 4: Calculate longitude", + " Longitude: -85.82749°", + "FINAL ANSWER: 11.439770, -85.827490" + ] + }, + { + "task": "format_conversion", + "location_name": "Jeju City", + "source_format": "decimal_degrees", + "source_string": "33.509720, 126.521940", + "target_format": "DMS", + "ground_truth": { + "target_string": "33°30'35.0\"N, 126°31'19.0\"E", + "latitude": 33.50972, + "longitude": 126.52194 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 33.509720, 126.521940", + " Latitude: 33.50972°", + " Longitude: 126.52194°", + "Step 2: Convert latitude to DMS", + " Degrees = 33", + " Minutes = int((33.509720 - 33) × 60) = 30", + " Seconds = ((33.509720 - 33) × 60 - 30) × 60 = 35.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 126", + " Minutes = 31", + " Seconds = 19.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 33°30'35.0\"N, 126°31'19.0\"E", + "FINAL ANSWER: 33°30'35.0\"N, 126°31'19.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Mianyang", + "source_format": "DMS", + "source_string": "31°28'4.2\"N, 104°40'54.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "31.467840, 104.681680", + "latitude": 31.46784, + "longitude": 104.68168 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 31°28'4.2\"N, 104°40'54.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 31.46784°", + "Step 4: Calculate longitude", + " Longitude: 104.68168°", + "FINAL ANSWER: 31.467840, 104.681680" + ] + }, + { + "task": "format_conversion", + "location_name": "Manjhanpur", + "source_format": "DMS", + "source_string": "25°31'49.7\"N, 81°22'32.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "25.530460, 81.375660", + "latitude": 25.53046, + "longitude": 81.37566 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 25°31'49.7\"N, 81°22'32.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 25.53046°", + "Step 4: Calculate longitude", + " Longitude: 81.37566°", + "FINAL ANSWER: 25.530460, 81.375660" + ] + }, + { + "task": "format_conversion", + "location_name": "Chisasa", + "source_format": "decimal_degrees", + "source_string": "-12.109320, 25.496130", + "target_format": "DMS", + "ground_truth": { + "target_string": "12°6'33.6\"S, 25°29'46.1\"E", + "latitude": -12.10932, + "longitude": 25.49613 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -12.109320, 25.496130", + " Latitude: -12.10932°", + " Longitude: 25.49613°", + "Step 2: Convert latitude to DMS", + " Degrees = 12", + " Minutes = int((12.109320 - 12) × 60) = 6", + " Seconds = ((12.109320 - 12) × 60 - 6) × 60 = 33.6", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 25", + " Minutes = 29", + " Seconds = 46.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 12°6'33.6\"S, 25°29'46.1\"E", + "FINAL ANSWER: 12°6'33.6\"S, 25°29'46.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Imerintsiatosika", + "source_format": "DMS", + "source_string": "18°58'60.0\"S, 47°19'0.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-18.983330, 47.316670", + "latitude": -18.98333, + "longitude": 47.31667 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 18°58'60.0\"S, 47°19'0.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -18.98333°", + "Step 4: Calculate longitude", + " Longitude: 47.31667°", + "FINAL ANSWER: -18.983330, 47.316670" + ] + }, + { + "task": "format_conversion", + "location_name": "Padmanābhapuram", + "source_format": "DMS", + "source_string": "8°14'40.6\"N, 77°19'32.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "8.244620, 77.325810", + "latitude": 8.24462, + "longitude": 77.32581 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 8°14'40.6\"N, 77°19'32.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 8.24462°", + "Step 4: Calculate longitude", + " Longitude: 77.32581°", + "FINAL ANSWER: 8.244620, 77.325810" + ] + }, + { + "task": "format_conversion", + "location_name": "Red Wing", + "source_format": "DMS", + "source_string": "44°33'44.9\"N, 92°32'1.7\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "44.562470, -92.533800", + "latitude": 44.56247, + "longitude": -92.5338 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 44°33'44.9\"N, 92°32'1.7\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 44.56247°", + "Step 4: Calculate longitude", + " Longitude: -92.5338°", + "FINAL ANSWER: 44.562470, -92.533800" + ] + }, + { + "task": "format_conversion", + "location_name": "Cloverleaf", + "source_format": "decimal_degrees", + "source_string": "29.778280, -95.171880", + "target_format": "DMS", + "ground_truth": { + "target_string": "29°46'41.8\"N, 95°10'18.8\"W", + "latitude": 29.77828, + "longitude": -95.17188 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 29.778280, -95.171880", + " Latitude: 29.77828°", + " Longitude: -95.17188°", + "Step 2: Convert latitude to DMS", + " Degrees = 29", + " Minutes = int((29.778280 - 29) × 60) = 46", + " Seconds = ((29.778280 - 29) × 60 - 46) × 60 = 41.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 95", + " Minutes = 10", + " Seconds = 18.8", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 29°46'41.8\"N, 95°10'18.8\"W", + "FINAL ANSWER: 29°46'41.8\"N, 95°10'18.8\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Bandar Labuan", + "source_format": "DMS", + "source_string": "5°16'59.5\"N, 115°15'13.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "5.283190, 115.253710", + "latitude": 5.28319, + "longitude": 115.25371 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 5°16'59.5\"N, 115°15'13.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 5.28319°", + "Step 4: Calculate longitude", + " Longitude: 115.25371°", + "FINAL ANSWER: 5.283190, 115.253710" + ] + }, + { + "task": "format_conversion", + "location_name": "Midland", + "source_format": "decimal_degrees", + "source_string": "43.615580, -84.247210", + "target_format": "DMS", + "ground_truth": { + "target_string": "43°36'56.1\"N, 84°14'50.0\"W", + "latitude": 43.61558, + "longitude": -84.24721 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 43.615580, -84.247210", + " Latitude: 43.61558°", + " Longitude: -84.24721°", + "Step 2: Convert latitude to DMS", + " Degrees = 43", + " Minutes = int((43.615580 - 43) × 60) = 36", + " Seconds = ((43.615580 - 43) × 60 - 36) × 60 = 56.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 84", + " Minutes = 14", + " Seconds = 50.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 43°36'56.1\"N, 84°14'50.0\"W", + "FINAL ANSWER: 43°36'56.1\"N, 84°14'50.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Dover", + "source_format": "decimal_degrees", + "source_string": "43.197860, -70.873670", + "target_format": "DMS", + "ground_truth": { + "target_string": "43°11'52.3\"N, 70°52'25.2\"W", + "latitude": 43.19786, + "longitude": -70.87367 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 43.197860, -70.873670", + " Latitude: 43.19786°", + " Longitude: -70.87367°", + "Step 2: Convert latitude to DMS", + " Degrees = 43", + " Minutes = int((43.197860 - 43) × 60) = 11", + " Seconds = ((43.197860 - 43) × 60 - 11) × 60 = 52.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 70", + " Minutes = 52", + " Seconds = 25.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 43°11'52.3\"N, 70°52'25.2\"W", + "FINAL ANSWER: 43°11'52.3\"N, 70°52'25.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Garissa", + "source_format": "decimal_degrees", + "source_string": "-0.452750, 39.646010", + "target_format": "DMS", + "ground_truth": { + "target_string": "0°27'9.9\"S, 39°38'45.6\"E", + "latitude": -0.45275, + "longitude": 39.64601 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -0.452750, 39.646010", + " Latitude: -0.45275°", + " Longitude: 39.64601°", + "Step 2: Convert latitude to DMS", + " Degrees = 0", + " Minutes = int((0.452750 - 0) × 60) = 27", + " Seconds = ((0.452750 - 0) × 60 - 27) × 60 = 9.9", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 39", + " Minutes = 38", + " Seconds = 45.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 0°27'9.9\"S, 39°38'45.6\"E", + "FINAL ANSWER: 0°27'9.9\"S, 39°38'45.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Nishiarai", + "source_format": "DMS", + "source_string": "35°47'4.9\"N, 139°46'43.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "35.784690, 139.778820", + "latitude": 35.78469, + "longitude": 139.77882 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 35°47'4.9\"N, 139°46'43.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 35.78469°", + "Step 4: Calculate longitude", + " Longitude: 139.77882°", + "FINAL ANSWER: 35.784690, 139.778820" + ] + }, + { + "task": "format_conversion", + "location_name": "Artëm", + "source_format": "decimal_degrees", + "source_string": "43.357570, 132.191370", + "target_format": "DMS", + "ground_truth": { + "target_string": "43°21'27.3\"N, 132°11'28.9\"E", + "latitude": 43.35757, + "longitude": 132.19137 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 43.357570, 132.191370", + " Latitude: 43.35757°", + " Longitude: 132.19137°", + "Step 2: Convert latitude to DMS", + " Degrees = 43", + " Minutes = int((43.357570 - 43) × 60) = 21", + " Seconds = ((43.357570 - 43) × 60 - 21) × 60 = 27.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 132", + " Minutes = 11", + " Seconds = 28.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 43°21'27.3\"N, 132°11'28.9\"E", + "FINAL ANSWER: 43°21'27.3\"N, 132°11'28.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Riverside", + "source_format": "decimal_degrees", + "source_string": "39.779780, -84.124100", + "target_format": "DMS", + "ground_truth": { + "target_string": "39°46'47.2\"N, 84°7'26.8\"W", + "latitude": 39.77978, + "longitude": -84.1241 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 39.779780, -84.124100", + " Latitude: 39.77978°", + " Longitude: -84.1241°", + "Step 2: Convert latitude to DMS", + " Degrees = 39", + " Minutes = int((39.779780 - 39) × 60) = 46", + " Seconds = ((39.779780 - 39) × 60 - 46) × 60 = 47.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 84", + " Minutes = 7", + " Seconds = 26.8", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 39°46'47.2\"N, 84°7'26.8\"W", + "FINAL ANSWER: 39°46'47.2\"N, 84°7'26.8\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Saint-Genis-Laval", + "source_format": "DMS", + "source_string": "45°41'43.5\"N, 4°47'35.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "45.695420, 4.793160", + "latitude": 45.69542, + "longitude": 4.79316 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 45°41'43.5\"N, 4°47'35.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 45.69542°", + "Step 4: Calculate longitude", + " Longitude: 4.79316°", + "FINAL ANSWER: 45.695420, 4.793160" + ] + }, + { + "task": "format_conversion", + "location_name": "Kibakwe", + "source_format": "DMS", + "source_string": "6°43'0.0\"S, 36°22'0.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-6.716670, 36.366670", + "latitude": -6.71667, + "longitude": 36.36667 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 6°43'0.0\"S, 36°22'0.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -6.71667°", + "Step 4: Calculate longitude", + " Longitude: 36.36667°", + "FINAL ANSWER: -6.716670, 36.366670" + ] + }, + { + "task": "format_conversion", + "location_name": "Simav", + "source_format": "decimal_degrees", + "source_string": "39.088200, 28.977670", + "target_format": "DMS", + "ground_truth": { + "target_string": "39°5'17.5\"N, 28°58'39.6\"E", + "latitude": 39.0882, + "longitude": 28.97767 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 39.088200, 28.977670", + " Latitude: 39.0882°", + " Longitude: 28.97767°", + "Step 2: Convert latitude to DMS", + " Degrees = 39", + " Minutes = int((39.088200 - 39) × 60) = 5", + " Seconds = ((39.088200 - 39) × 60 - 5) × 60 = 17.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 28", + " Minutes = 58", + " Seconds = 39.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 39°5'17.5\"N, 28°58'39.6\"E", + "FINAL ANSWER: 39°5'17.5\"N, 28°58'39.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Ken Caryl", + "source_format": "DMS", + "source_string": "39°34'33.0\"N, 105°6'44.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "39.575820, -105.112210", + "latitude": 39.57582, + "longitude": -105.11221 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 39°34'33.0\"N, 105°6'44.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 39.57582°", + "Step 4: Calculate longitude", + " Longitude: -105.11221°", + "FINAL ANSWER: 39.575820, -105.112210" + ] + }, + { + "task": "format_conversion", + "location_name": "Guacamayas", + "source_format": "DMS", + "source_string": "18°1'9.6\"N, 102°12'44.1\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "18.019320, -102.212250", + "latitude": 18.01932, + "longitude": -102.21225 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 18°1'9.6\"N, 102°12'44.1\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 18.01932°", + "Step 4: Calculate longitude", + " Longitude: -102.21225°", + "FINAL ANSWER: 18.019320, -102.212250" + ] + }, + { + "task": "format_conversion", + "location_name": "Il’skiy", + "source_format": "DMS", + "source_string": "44°50'32.0\"N, 38°34'0.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "44.842220, 38.566860", + "latitude": 44.84222, + "longitude": 38.56686 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 44°50'32.0\"N, 38°34'0.7\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 44.84222°", + "Step 4: Calculate longitude", + " Longitude: 38.56686°", + "FINAL ANSWER: 44.842220, 38.566860" + ] + }, + { + "task": "format_conversion", + "location_name": "Sirsilla", + "source_format": "decimal_degrees", + "source_string": "18.388650, 78.810480", + "target_format": "DMS", + "ground_truth": { + "target_string": "18°23'19.1\"N, 78°48'37.7\"E", + "latitude": 18.38865, + "longitude": 78.81048 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 18.388650, 78.810480", + " Latitude: 18.38865°", + " Longitude: 78.81048°", + "Step 2: Convert latitude to DMS", + " Degrees = 18", + " Minutes = int((18.388650 - 18) × 60) = 23", + " Seconds = ((18.388650 - 18) × 60 - 23) × 60 = 19.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 78", + " Minutes = 48", + " Seconds = 37.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 18°23'19.1\"N, 78°48'37.7\"E", + "FINAL ANSWER: 18°23'19.1\"N, 78°48'37.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Đố Sơn", + "source_format": "decimal_degrees", + "source_string": "20.713610, 106.789440", + "target_format": "DMS", + "ground_truth": { + "target_string": "20°42'49.0\"N, 106°47'22.0\"E", + "latitude": 20.71361, + "longitude": 106.78944 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 20.713610, 106.789440", + " Latitude: 20.71361°", + " Longitude: 106.78944°", + "Step 2: Convert latitude to DMS", + " Degrees = 20", + " Minutes = int((20.713610 - 20) × 60) = 42", + " Seconds = ((20.713610 - 20) × 60 - 42) × 60 = 49.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 106", + " Minutes = 47", + " Seconds = 22.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 20°42'49.0\"N, 106°47'22.0\"E", + "FINAL ANSWER: 20°42'49.0\"N, 106°47'22.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Mungaoli", + "source_format": "decimal_degrees", + "source_string": "24.408370, 78.095880", + "target_format": "DMS", + "ground_truth": { + "target_string": "24°24'30.1\"N, 78°5'45.2\"E", + "latitude": 24.40837, + "longitude": 78.09588 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 24.408370, 78.095880", + " Latitude: 24.40837°", + " Longitude: 78.09588°", + "Step 2: Convert latitude to DMS", + " Degrees = 24", + " Minutes = int((24.408370 - 24) × 60) = 24", + " Seconds = ((24.408370 - 24) × 60 - 24) × 60 = 30.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 78", + " Minutes = 5", + " Seconds = 45.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 24°24'30.1\"N, 78°5'45.2\"E", + "FINAL ANSWER: 24°24'30.1\"N, 78°5'45.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Baguio", + "source_format": "decimal_degrees", + "source_string": "16.416390, 120.593060", + "target_format": "DMS", + "ground_truth": { + "target_string": "16°24'59.0\"N, 120°35'35.0\"E", + "latitude": 16.41639, + "longitude": 120.59306 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 16.416390, 120.593060", + " Latitude: 16.41639°", + " Longitude: 120.59306°", + "Step 2: Convert latitude to DMS", + " Degrees = 16", + " Minutes = int((16.416390 - 16) × 60) = 24", + " Seconds = ((16.416390 - 16) × 60 - 24) × 60 = 59.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 120", + " Minutes = 35", + " Seconds = 35.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 16°24'59.0\"N, 120°35'35.0\"E", + "FINAL ANSWER: 16°24'59.0\"N, 120°35'35.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Tumbi", + "source_format": "DMS", + "source_string": "5°4'0.0\"S, 32°43'60.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-5.066670, 32.733330", + "latitude": -5.06667, + "longitude": 32.73333 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 5°4'0.0\"S, 32°43'60.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -5.06667°", + "Step 4: Calculate longitude", + " Longitude: 32.73333°", + "FINAL ANSWER: -5.066670, 32.733330" + ] + }, + { + "task": "format_conversion", + "location_name": "Horizontina", + "source_format": "DMS", + "source_string": "27°37'33.0\"S, 54°18'28.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-27.625830, -54.307780", + "latitude": -27.62583, + "longitude": -54.30778 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 27°37'33.0\"S, 54°18'28.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -27.62583°", + "Step 4: Calculate longitude", + " Longitude: -54.30778°", + "FINAL ANSWER: -27.625830, -54.307780" + ] + }, + { + "task": "format_conversion", + "location_name": "Bad Zwischenahn", + "source_format": "decimal_degrees", + "source_string": "53.183330, 8.000000", + "target_format": "DMS", + "ground_truth": { + "target_string": "53°10'60.0\"N, 8°0'0.0\"E", + "latitude": 53.18333, + "longitude": 8.0 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 53.183330, 8.000000", + " Latitude: 53.18333°", + " Longitude: 8.0°", + "Step 2: Convert latitude to DMS", + " Degrees = 53", + " Minutes = int((53.183330 - 53) × 60) = 10", + " Seconds = ((53.183330 - 53) × 60 - 10) × 60 = 60.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 8", + " Minutes = 0", + " Seconds = 0.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 53°10'60.0\"N, 8°0'0.0\"E", + "FINAL ANSWER: 53°10'60.0\"N, 8°0'0.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Schiltigheim", + "source_format": "decimal_degrees", + "source_string": "48.607490, 7.749310", + "target_format": "DMS", + "ground_truth": { + "target_string": "48°36'27.0\"N, 7°44'57.5\"E", + "latitude": 48.60749, + "longitude": 7.74931 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 48.607490, 7.749310", + " Latitude: 48.60749°", + " Longitude: 7.74931°", + "Step 2: Convert latitude to DMS", + " Degrees = 48", + " Minutes = int((48.607490 - 48) × 60) = 36", + " Seconds = ((48.607490 - 48) × 60 - 36) × 60 = 27.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 7", + " Minutes = 44", + " Seconds = 57.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 48°36'27.0\"N, 7°44'57.5\"E", + "FINAL ANSWER: 48°36'27.0\"N, 7°44'57.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Effiduase", + "source_format": "DMS", + "source_string": "6°50'48.6\"N, 1°23'46.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "6.846840, -1.396120", + "latitude": 6.84684, + "longitude": -1.39612 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 6°50'48.6\"N, 1°23'46.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 6.84684°", + "Step 4: Calculate longitude", + " Longitude: -1.39612��", + "FINAL ANSWER: 6.846840, -1.396120" + ] + }, + { + "task": "format_conversion", + "location_name": "Kovel", + "source_format": "decimal_degrees", + "source_string": "51.215260, 24.708670", + "target_format": "DMS", + "ground_truth": { + "target_string": "51°12'54.9\"N, 24°42'31.2\"E", + "latitude": 51.21526, + "longitude": 24.70867 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 51.215260, 24.708670", + " Latitude: 51.21526°", + " Longitude: 24.70867°", + "Step 2: Convert latitude to DMS", + " Degrees = 51", + " Minutes = int((51.215260 - 51) × 60) = 12", + " Seconds = ((51.215260 - 51) × 60 - 12) × 60 = 54.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 24", + " Minutes = 42", + " Seconds = 31.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 51°12'54.9\"N, 24°42'31.2\"E", + "FINAL ANSWER: 51°12'54.9\"N, 24°42'31.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kingsville", + "source_format": "DMS", + "source_string": "27°30'57.1\"N, 97°51'22.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "27.515870, -97.856110", + "latitude": 27.51587, + "longitude": -97.85611 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 27°30'57.1\"N, 97°51'22.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 27.51587°", + "Step 4: Calculate longitude", + " Longitude: -97.85611°", + "FINAL ANSWER: 27.515870, -97.856110" + ] + }, + { + "task": "format_conversion", + "location_name": "Oadar Temsia", + "source_format": "decimal_degrees", + "source_string": "30.365310, -9.410440", + "target_format": "DMS", + "ground_truth": { + "target_string": "30°21'55.1\"N, 9°24'37.6\"W", + "latitude": 30.36531, + "longitude": -9.41044 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 30.365310, -9.410440", + " Latitude: 30.36531°", + " Longitude: -9.41044°", + "Step 2: Convert latitude to DMS", + " Degrees = 30", + " Minutes = int((30.365310 - 30) × 60) = 21", + " Seconds = ((30.365310 - 30) × 60 - 21) × 60 = 55.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 9", + " Minutes = 24", + " Seconds = 37.6", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 30°21'55.1\"N, 9°24'37.6\"W", + "FINAL ANSWER: 30°21'55.1\"N, 9°24'37.6\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Vladikavkaz", + "source_format": "DD", + "source_string": "43.041010, 44.669860", + "target_format": "DMS", + "ground_truth": { + "target_string": "43°2'27.6\"N, 44°40'11.5\"E", + "latitude": 43.04101, + "longitude": 44.66986 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: 43.041010, 44.669860", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 43°2'27.6\"N, 44°40'11.5\"E", + "FINAL ANSWER: 43°2'27.6\"N, 44°40'11.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Mosonmagyaróvár", + "source_format": "decimal_degrees", + "source_string": "47.867890, 17.269940", + "target_format": "DMS", + "ground_truth": { + "target_string": "47°52'4.4\"N, 17°16'11.8\"E", + "latitude": 47.86789, + "longitude": 17.26994 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 47.867890, 17.269940", + " Latitude: 47.86789°", + " Longitude: 17.26994°", + "Step 2: Convert latitude to DMS", + " Degrees = 47", + " Minutes = int((47.867890 - 47) × 60) = 52", + " Seconds = ((47.867890 - 47) × 60 - 52) × 60 = 4.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 17", + " Minutes = 16", + " Seconds = 11.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 47°52'4.4\"N, 17°16'11.8\"E", + "FINAL ANSWER: 47°52'4.4\"N, 17°16'11.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Linqiong", + "source_format": "decimal_degrees", + "source_string": "30.415870, 103.460890", + "target_format": "DMS", + "ground_truth": { + "target_string": "30°24'57.1\"N, 103°27'39.2\"E", + "latitude": 30.41587, + "longitude": 103.46089 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 30.415870, 103.460890", + " Latitude: 30.41587°", + " Longitude: 103.46089°", + "Step 2: Convert latitude to DMS", + " Degrees = 30", + " Minutes = int((30.415870 - 30) × 60) = 24", + " Seconds = ((30.415870 - 30) × 60 - 24) × 60 = 57.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 103", + " Minutes = 27", + " Seconds = 39.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 30°24'57.1\"N, 103°27'39.2\"E", + "FINAL ANSWER: 30°24'57.1\"N, 103°27'39.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Wetzelsdorf", + "source_format": "decimal_degrees", + "source_string": "47.052930, 15.399230", + "target_format": "DMS", + "ground_truth": { + "target_string": "47°3'10.5\"N, 15°23'57.2\"E", + "latitude": 47.05293, + "longitude": 15.39923 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 47.052930, 15.399230", + " Latitude: 47.05293°", + " Longitude: 15.39923°", + "Step 2: Convert latitude to DMS", + " Degrees = 47", + " Minutes = int((47.052930 - 47) × 60) = 3", + " Seconds = ((47.052930 - 47) × 60 - 3) × 60 = 10.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 15", + " Minutes = 23", + " Seconds = 57.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 47°3'10.5\"N, 15°23'57.2\"E", + "FINAL ANSWER: 47°3'10.5\"N, 15°23'57.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Talata Mafara", + "source_format": "decimal_degrees", + "source_string": "12.568410, 6.062250", + "target_format": "DMS", + "ground_truth": { + "target_string": "12°34'6.3\"N, 6°3'44.1\"E", + "latitude": 12.56841, + "longitude": 6.06225 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 12.568410, 6.062250", + " Latitude: 12.56841°", + " Longitude: 6.06225°", + "Step 2: Convert latitude to DMS", + " Degrees = 12", + " Minutes = int((12.568410 - 12) × 60) = 34", + " Seconds = ((12.568410 - 12) × 60 - 34) × 60 = 6.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 6", + " Minutes = 3", + " Seconds = 44.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 12°34'6.3\"N, 6°3'44.1\"E", + "FINAL ANSWER: 12°34'6.3\"N, 6°3'44.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Mosquera", + "source_format": "DMS", + "source_string": "4°42'21.3\"N, 74°13'48.8\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "4.705920, -74.230210", + "latitude": 4.70592, + "longitude": -74.23021 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 4°42'21.3\"N, 74°13'48.8\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 4.70592°", + "Step 4: Calculate longitude", + " Longitude: -74.23021°", + "FINAL ANSWER: 4.705920, -74.230210" + ] + }, + { + "task": "format_conversion", + "location_name": "Alofi", + "source_format": "decimal_degrees", + "source_string": "-19.052940, -169.919570", + "target_format": "DMS", + "ground_truth": { + "target_string": "19°3'10.6\"S, 169°55'10.5\"W", + "latitude": -19.05294, + "longitude": -169.91957 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -19.052940, -169.919570", + " Latitude: -19.05294°", + " Longitude: -169.91957°", + "Step 2: Convert latitude to DMS", + " Degrees = 19", + " Minutes = int((19.052940 - 19) × 60) = 3", + " Seconds = ((19.052940 - 19) × 60 - 3) × 60 = 10.6", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 169", + " Minutes = 55", + " Seconds = 10.5", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 19°3'10.6\"S, 169°55'10.5\"W", + "FINAL ANSWER: 19°3'10.6\"S, 169°55'10.5\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Yatomi", + "source_format": "DMS", + "source_string": "35°6'19.1\"N, 136°44'1.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "35.105300, 136.733780", + "latitude": 35.1053, + "longitude": 136.73378 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 35°6'19.1\"N, 136°44'1.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 35.1053°", + "Step 4: Calculate longitude", + " Longitude: 136.73378°", + "FINAL ANSWER: 35.105300, 136.733780" + ] + }, + { + "task": "format_conversion", + "location_name": "Aoji-ri", + "source_format": "decimal_degrees", + "source_string": "42.521820, 130.395720", + "target_format": "DMS", + "ground_truth": { + "target_string": "42°31'18.6\"N, 130°23'44.6\"E", + "latitude": 42.52182, + "longitude": 130.39572 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 42.521820, 130.395720", + " Latitude: 42.52182°", + " Longitude: 130.39572°", + "Step 2: Convert latitude to DMS", + " Degrees = 42", + " Minutes = int((42.521820 - 42) × 60) = 31", + " Seconds = ((42.521820 - 42) × 60 - 31) × 60 = 18.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 130", + " Minutes = 23", + " Seconds = 44.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 42°31'18.6\"N, 130°23'44.6\"E", + "FINAL ANSWER: 42°31'18.6\"N, 130°23'44.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Sant Just Desvern", + "source_format": "decimal_degrees", + "source_string": "41.383890, 2.067580", + "target_format": "DMS", + "ground_truth": { + "target_string": "41°23'2.0\"N, 2°4'3.3\"E", + "latitude": 41.38389, + "longitude": 2.06758 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 41.383890, 2.067580", + " Latitude: 41.38389°", + " Longitude: 2.06758°", + "Step 2: Convert latitude to DMS", + " Degrees = 41", + " Minutes = int((41.383890 - 41) × 60) = 23", + " Seconds = ((41.383890 - 41) × 60 - 23) × 60 = 2.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 2", + " Minutes = 4", + " Seconds = 3.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 41°23'2.0\"N, 2°4'3.3\"E", + "FINAL ANSWER: 41°23'2.0\"N, 2°4'3.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Binche", + "source_format": "DMS", + "source_string": "50°24'41.6\"N, 4°9'52.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "50.411550, 4.164690", + "latitude": 50.41155, + "longitude": 4.16469 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 50°24'41.6\"N, 4°9'52.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 50.41155°", + "Step 4: Calculate longitude", + " Longitude: 4.16469°", + "FINAL ANSWER: 50.411550, 4.164690" + ] + }, + { + "task": "format_conversion", + "location_name": "Bouznika", + "source_format": "decimal_degrees", + "source_string": "33.789420, -7.159680", + "target_format": "DMS", + "ground_truth": { + "target_string": "33°47'21.9\"N, 7°9'34.8\"W", + "latitude": 33.78942, + "longitude": -7.15968 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 33.789420, -7.159680", + " Latitude: 33.78942°", + " Longitude: -7.15968°", + "Step 2: Convert latitude to DMS", + " Degrees = 33", + " Minutes = int((33.789420 - 33) × 60) = 47", + " Seconds = ((33.789420 - 33) × 60 - 47) × 60 = 21.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 7", + " Minutes = 9", + " Seconds = 34.8", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 33°47'21.9\"N, 7°9'34.8\"W", + "FINAL ANSWER: 33°47'21.9\"N, 7°9'34.8\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Al Shamkhah City", + "source_format": "DMS", + "source_string": "24°23'33.6\"N, 54°42'28.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "24.392680, 54.707790", + "latitude": 24.39268, + "longitude": 54.70779 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 24°23'33.6\"N, 54°42'28.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 24.39268°", + "Step 4: Calculate longitude", + " Longitude: 54.70779°", + "FINAL ANSWER: 24.392680, 54.707790" + ] + }, + { + "task": "format_conversion", + "location_name": "Jordan", + "source_format": "decimal_degrees", + "source_string": "22.305390, 114.170010", + "target_format": "DMS", + "ground_truth": { + "target_string": "22°18'19.4\"N, 114°10'12.0\"E", + "latitude": 22.30539, + "longitude": 114.17001 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 22.305390, 114.170010", + " Latitude: 22.30539°", + " Longitude: 114.17001°", + "Step 2: Convert latitude to DMS", + " Degrees = 22", + " Minutes = int((22.305390 - 22) × 60) = 18", + " Seconds = ((22.305390 - 22) × 60 - 18) × 60 = 19.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 114", + " Minutes = 10", + " Seconds = 12.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 22°18'19.4\"N, 114°10'12.0\"E", + "FINAL ANSWER: 22°18'19.4\"N, 114°10'12.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Pilkhua", + "source_format": "DMS", + "source_string": "28°42'45.8\"N, 77°39'21.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "28.712710, 77.656000", + "latitude": 28.71271, + "longitude": 77.656 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 28°42'45.8\"N, 77°39'21.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 28.71271°", + "Step 4: Calculate longitude", + " Longitude: 77.656°", + "FINAL ANSWER: 28.712710, 77.656000" + ] + }, + { + "task": "format_conversion", + "location_name": "Greenville", + "source_format": "decimal_degrees", + "source_string": "5.011330, -9.038800", + "target_format": "DMS", + "ground_truth": { + "target_string": "5°0'40.8\"N, 9°2'19.7\"W", + "latitude": 5.01133, + "longitude": -9.0388 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 5.011330, -9.038800", + " Latitude: 5.01133°", + " Longitude: -9.0388°", + "Step 2: Convert latitude to DMS", + " Degrees = 5", + " Minutes = int((5.011330 - 5) × 60) = 0", + " Seconds = ((5.011330 - 5) × 60 - 0) × 60 = 40.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 9", + " Minutes = 2", + " Seconds = 19.7", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 5°0'40.8\"N, 9°2'19.7\"W", + "FINAL ANSWER: 5°0'40.8\"N, 9°2'19.7\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Villarrica", + "source_format": "decimal_degrees", + "source_string": "-39.285690, -72.227900", + "target_format": "DMS", + "ground_truth": { + "target_string": "39°17'8.5\"S, 72°13'40.4\"W", + "latitude": -39.28569, + "longitude": -72.2279 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -39.285690, -72.227900", + " Latitude: -39.28569°", + " Longitude: -72.2279°", + "Step 2: Convert latitude to DMS", + " Degrees = 39", + " Minutes = int((39.285690 - 39) × 60) = 17", + " Seconds = ((39.285690 - 39) × 60 - 17) × 60 = 8.5", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 72", + " Minutes = 13", + " Seconds = 40.4", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 39°17'8.5\"S, 72°13'40.4\"W", + "FINAL ANSWER: 39°17'8.5\"S, 72°13'40.4\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Hisai-motomachi", + "source_format": "DMS", + "source_string": "34°40'0.0\"N, 136°28'0.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "34.666670, 136.466670", + "latitude": 34.66667, + "longitude": 136.46667 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 34°40'0.0\"N, 136°28'0.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 34.66667°", + "Step 4: Calculate longitude", + " Longitude: 136.46667°", + "FINAL ANSWER: 34.666670, 136.466670" + ] + }, + { + "task": "format_conversion", + "location_name": "Lower Earley", + "source_format": "decimal_degrees", + "source_string": "51.427080, -0.919790", + "target_format": "DMS", + "ground_truth": { + "target_string": "51°25'37.5\"N, 0°55'11.2\"W", + "latitude": 51.42708, + "longitude": -0.91979 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 51.427080, -0.919790", + " Latitude: 51.42708°", + " Longitude: -0.91979°", + "Step 2: Convert latitude to DMS", + " Degrees = 51", + " Minutes = int((51.427080 - 51) × 60) = 25", + " Seconds = ((51.427080 - 51) × 60 - 25) × 60 = 37.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 0", + " Minutes = 55", + " Seconds = 11.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 51°25'37.5\"N, 0°55'11.2\"W", + "FINAL ANSWER: 51°25'37.5\"N, 0°55'11.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Pompano Beach", + "source_format": "DMS", + "source_string": "26°14'16.3\"N, 80°7'29.2\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "26.237860, -80.124770", + "latitude": 26.23786, + "longitude": -80.12477 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 26°14'16.3\"N, 80°7'29.2\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 26.23786°", + "Step 4: Calculate longitude", + " Longitude: -80.12477°", + "FINAL ANSWER: 26.237860, -80.124770" + ] + }, + { + "task": "format_conversion", + "location_name": "Grombalia", + "source_format": "decimal_degrees", + "source_string": "36.598940, 10.500320", + "target_format": "DMS", + "ground_truth": { + "target_string": "36°35'56.2\"N, 10°30'1.2\"E", + "latitude": 36.59894, + "longitude": 10.50032 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 36.598940, 10.500320", + " Latitude: 36.59894°", + " Longitude: 10.50032°", + "Step 2: Convert latitude to DMS", + " Degrees = 36", + " Minutes = int((36.598940 - 36) × 60) = 35", + " Seconds = ((36.598940 - 36) × 60 - 35) × 60 = 56.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 10", + " Minutes = 30", + " Seconds = 1.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 36°35'56.2\"N, 10°30'1.2\"E", + "FINAL ANSWER: 36°35'56.2\"N, 10°30'1.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "San Juan de los Morros", + "source_format": "decimal_degrees", + "source_string": "9.912460, -67.353980", + "target_format": "DMS", + "ground_truth": { + "target_string": "9°54'44.9\"N, 67°21'14.3\"W", + "latitude": 9.91246, + "longitude": -67.35398 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 9.912460, -67.353980", + " Latitude: 9.91246°", + " Longitude: -67.35398°", + "Step 2: Convert latitude to DMS", + " Degrees = 9", + " Minutes = int((9.912460 - 9) × 60) = 54", + " Seconds = ((9.912460 - 9) × 60 - 54) × 60 = 44.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 67", + " Minutes = 21", + " Seconds = 14.3", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 9°54'44.9\"N, 67°21'14.3\"W", + "FINAL ANSWER: 9°54'44.9\"N, 67°21'14.3\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Hisor", + "source_format": "decimal_degrees", + "source_string": "38.525040, 68.551240", + "target_format": "DMS", + "ground_truth": { + "target_string": "38°31'30.1\"N, 68°33'4.5\"E", + "latitude": 38.52504, + "longitude": 68.55124 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 38.525040, 68.551240", + " Latitude: 38.52504°", + " Longitude: 68.55124°", + "Step 2: Convert latitude to DMS", + " Degrees = 38", + " Minutes = int((38.525040 - 38) × 60) = 31", + " Seconds = ((38.525040 - 38) × 60 - 31) × 60 = 30.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 68", + " Minutes = 33", + " Seconds = 4.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 38°31'30.1\"N, 68°33'4.5\"E", + "FINAL ANSWER: 38°31'30.1\"N, 68°33'4.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Morales", + "source_format": "DMS", + "source_string": "8°16'34.4\"N, 73°52'4.9\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "8.276210, -73.868030", + "latitude": 8.27621, + "longitude": -73.86803 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 8°16'34.4\"N, 73°52'4.9\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 8.27621°", + "Step 4: Calculate longitude", + " Longitude: -73.86803°", + "FINAL ANSWER: 8.276210, -73.868030" + ] + }, + { + "task": "format_conversion", + "location_name": "Maradong", + "source_format": "DMS", + "source_string": "2°4'60.0\"N, 111°37'0.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "2.083330, 111.616670", + "latitude": 2.08333, + "longitude": 111.61667 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 2°4'60.0\"N, 111°37'0.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 2.08333°", + "Step 4: Calculate longitude", + " Longitude: 111.61667°", + "FINAL ANSWER: 2.083330, 111.616670" + ] + }, + { + "task": "format_conversion", + "location_name": "Southampton", + "source_format": "decimal_degrees", + "source_string": "50.903950, -1.404280", + "target_format": "DMS", + "ground_truth": { + "target_string": "50°54'14.2\"N, 1°24'15.4\"W", + "latitude": 50.90395, + "longitude": -1.40428 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 50.903950, -1.404280", + " Latitude: 50.90395°", + " Longitude: -1.40428°", + "Step 2: Convert latitude to DMS", + " Degrees = 50", + " Minutes = int((50.903950 - 50) × 60) = 54", + " Seconds = ((50.903950 - 50) × 60 - 54) × 60 = 14.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 1", + " Minutes = 24", + " Seconds = 15.4", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 50°54'14.2\"N, 1°24'15.4\"W", + "FINAL ANSWER: 50°54'14.2\"N, 1°24'15.4\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Himi", + "source_format": "decimal_degrees", + "source_string": "36.846660, 136.983550", + "target_format": "DMS", + "ground_truth": { + "target_string": "36°50'48.0\"N, 136°59'0.8\"E", + "latitude": 36.84666, + "longitude": 136.98355 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 36.846660, 136.983550", + " Latitude: 36.84666°", + " Longitude: 136.98355°", + "Step 2: Convert latitude to DMS", + " Degrees = 36", + " Minutes = int((36.846660 - 36) × 60) = 50", + " Seconds = ((36.846660 - 36) × 60 - 50) × 60 = 48.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 136", + " Minutes = 59", + " Seconds = 0.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 36°50'48.0\"N, 136°59'0.8\"E", + "FINAL ANSWER: 36°50'48.0\"N, 136°59'0.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Āzādshahr", + "source_format": "DMS", + "source_string": "37°5'11.1\"N, 55°10'20.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "37.086410, 55.172220", + "latitude": 37.08641, + "longitude": 55.17222 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 37°5'11.1\"N, 55°10'20.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 37.08641°", + "Step 4: Calculate longitude", + " Longitude: 55.17222°", + "FINAL ANSWER: 37.086410, 55.172220" + ] + }, + { + "task": "format_conversion", + "location_name": "Rio do Sul", + "source_format": "decimal_degrees", + "source_string": "-27.214170, -49.643060", + "target_format": "DMS", + "ground_truth": { + "target_string": "27°12'51.0\"S, 49°38'35.0\"W", + "latitude": -27.21417, + "longitude": -49.64306 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -27.214170, -49.643060", + " Latitude: -27.21417°", + " Longitude: -49.64306°", + "Step 2: Convert latitude to DMS", + " Degrees = 27", + " Minutes = int((27.214170 - 27) × 60) = 12", + " Seconds = ((27.214170 - 27) × 60 - 12) × 60 = 51.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 49", + " Minutes = 38", + " Seconds = 35.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 27°12'51.0\"S, 49°38'35.0\"W", + "FINAL ANSWER: 27°12'51.0\"S, 49°38'35.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Abadia de Goiás", + "source_format": "decimal_degrees", + "source_string": "-16.757220, -49.437500", + "target_format": "DMS", + "ground_truth": { + "target_string": "16°45'26.0\"S, 49°26'15.0\"W", + "latitude": -16.75722, + "longitude": -49.4375 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -16.757220, -49.437500", + " Latitude: -16.75722°", + " Longitude: -49.4375°", + "Step 2: Convert latitude to DMS", + " Degrees = 16", + " Minutes = int((16.757220 - 16) × 60) = 45", + " Seconds = ((16.757220 - 16) × 60 - 45) × 60 = 26.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 49", + " Minutes = 26", + " Seconds = 15.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 16°45'26.0\"S, 49°26'15.0\"W", + "FINAL ANSWER: 16°45'26.0\"S, 49°26'15.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Serrana", + "source_format": "DMS", + "source_string": "21°12'41.0\"S, 47°35'44.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-21.211390, -47.595560", + "latitude": -21.21139, + "longitude": -47.59556 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 21°12'41.0\"S, 47°35'44.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -21.21139°", + "Step 4: Calculate longitude", + " Longitude: -47.59556°", + "FINAL ANSWER: -21.211390, -47.595560" + ] + }, + { + "task": "format_conversion", + "location_name": "Chikugo", + "source_format": "DMS", + "source_string": "33°12'19.3\"N, 130°29'30.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "33.205370, 130.491830", + "latitude": 33.20537, + "longitude": 130.49183 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 33°12'19.3\"N, 130°29'30.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 33.20537°", + "Step 4: Calculate longitude", + " Longitude: 130.49183°", + "FINAL ANSWER: 33.205370, 130.491830" + ] + }, + { + "task": "format_conversion", + "location_name": "La Virginia", + "source_format": "decimal_degrees", + "source_string": "4.899720, -75.882500", + "target_format": "DMS", + "ground_truth": { + "target_string": "4°53'59.0\"N, 75°52'57.0\"W", + "latitude": 4.89972, + "longitude": -75.8825 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 4.899720, -75.882500", + " Latitude: 4.89972°", + " Longitude: -75.8825°", + "Step 2: Convert latitude to DMS", + " Degrees = 4", + " Minutes = int((4.899720 - 4) × 60) = 53", + " Seconds = ((4.899720 - 4) × 60 - 53) × 60 = 59.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 75", + " Minutes = 52", + " Seconds = 57.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 4°53'59.0\"N, 75°52'57.0\"W", + "FINAL ANSWER: 4°53'59.0\"N, 75°52'57.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Mühlhausen", + "source_format": "decimal_degrees", + "source_string": "51.208960, 10.452750", + "target_format": "DMS", + "ground_truth": { + "target_string": "51°12'32.3\"N, 10°27'9.9\"E", + "latitude": 51.20896, + "longitude": 10.45275 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 51.208960, 10.452750", + " Latitude: 51.20896°", + " Longitude: 10.45275°", + "Step 2: Convert latitude to DMS", + " Degrees = 51", + " Minutes = int((51.208960 - 51) × 60) = 12", + " Seconds = ((51.208960 - 51) × 60 - 12) × 60 = 32.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 10", + " Minutes = 27", + " Seconds = 9.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 51°12'32.3\"N, 10°27'9.9\"E", + "FINAL ANSWER: 51°12'32.3\"N, 10°27'9.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Arar", + "source_format": "decimal_degrees", + "source_string": "30.975310, 41.038080", + "target_format": "DMS", + "ground_truth": { + "target_string": "30°58'31.1\"N, 41°2'17.1\"E", + "latitude": 30.97531, + "longitude": 41.03808 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 30.975310, 41.038080", + " Latitude: 30.97531°", + " Longitude: 41.03808°", + "Step 2: Convert latitude to DMS", + " Degrees = 30", + " Minutes = int((30.975310 - 30) × 60) = 58", + " Seconds = ((30.975310 - 30) × 60 - 58) × 60 = 31.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 41", + " Minutes = 2", + " Seconds = 17.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 30°58'31.1\"N, 41°2'17.1\"E", + "FINAL ANSWER: 30°58'31.1\"N, 41°2'17.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Buta", + "source_format": "DMS", + "source_string": "2°47'9.0\"N, 24°43'47.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "2.785820, 24.729970", + "latitude": 2.78582, + "longitude": 24.72997 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 2°47'9.0\"N, 24°43'47.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 2.78582°", + "Step 4: Calculate longitude", + " Longitude: 24.72997°", + "FINAL ANSWER: 2.785820, 24.729970" + ] + }, + { + "task": "format_conversion", + "location_name": "güngören merter", + "source_format": "DMS", + "source_string": "41°0'25.6\"N, 28°53'16.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "41.007110, 28.887950", + "latitude": 41.00711, + "longitude": 28.88795 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 41°0'25.6\"N, 28°53'16.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 41.00711°", + "Step 4: Calculate longitude", + " Longitude: 28.88795°", + "FINAL ANSWER: 41.007110, 28.887950" + ] + }, + { + "task": "format_conversion", + "location_name": "Ugep", + "source_format": "decimal_degrees", + "source_string": "5.808650, 8.080980", + "target_format": "DMS", + "ground_truth": { + "target_string": "5°48'31.1\"N, 8°4'51.5\"E", + "latitude": 5.80865, + "longitude": 8.08098 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 5.808650, 8.080980", + " Latitude: 5.80865°", + " Longitude: 8.08098°", + "Step 2: Convert latitude to DMS", + " Degrees = 5", + " Minutes = int((5.808650 - 5) × 60) = 48", + " Seconds = ((5.808650 - 5) × 60 - 48) × 60 = 31.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 8", + " Minutes = 4", + " Seconds = 51.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 5°48'31.1\"N, 8°4'51.5\"E", + "FINAL ANSWER: 5°48'31.1\"N, 8°4'51.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Lębork", + "source_format": "decimal_degrees", + "source_string": "54.539210, 17.750120", + "target_format": "DMS", + "ground_truth": { + "target_string": "54°32'21.2\"N, 17°45'0.4\"E", + "latitude": 54.53921, + "longitude": 17.75012 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 54.539210, 17.750120", + " Latitude: 54.53921°", + " Longitude: 17.75012°", + "Step 2: Convert latitude to DMS", + " Degrees = 54", + " Minutes = int((54.539210 - 54) × 60) = 32", + " Seconds = ((54.539210 - 54) × 60 - 32) × 60 = 21.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 17", + " Minutes = 45", + " Seconds = 0.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 54°32'21.2\"N, 17°45'0.4\"E", + "FINAL ANSWER: 54°32'21.2\"N, 17°45'0.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Tadó", + "source_format": "DMS", + "source_string": "5°15'57.5\"N, 76°33'53.5\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "5.265980, -76.564870", + "latitude": 5.26598, + "longitude": -76.56487 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 5°15'57.5\"N, 76°33'53.5\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 5.26598°", + "Step 4: Calculate longitude", + " Longitude: -76.56487°", + "FINAL ANSWER: 5.265980, -76.564870" + ] + }, + { + "task": "format_conversion", + "location_name": "Slonim", + "source_format": "decimal_degrees", + "source_string": "53.087510, 25.317070", + "target_format": "DMS", + "ground_truth": { + "target_string": "53°5'15.0\"N, 25°19'1.5\"E", + "latitude": 53.08751, + "longitude": 25.31707 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 53.087510, 25.317070", + " Latitude: 53.08751°", + " Longitude: 25.31707°", + "Step 2: Convert latitude to DMS", + " Degrees = 53", + " Minutes = int((53.087510 - 53) × 60) = 5", + " Seconds = ((53.087510 - 53) × 60 - 5) × 60 = 15.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 25", + " Minutes = 19", + " Seconds = 1.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 53°5'15.0\"N, 25°19'1.5\"E", + "FINAL ANSWER: 53°5'15.0\"N, 25°19'1.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Huacheng", + "source_format": "DMS", + "source_string": "24°4'1.3\"N, 115°36'47.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "24.067030, 115.613090", + "latitude": 24.06703, + "longitude": 115.61309 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 24°4'1.3\"N, 115°36'47.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 24.06703°", + "Step 4: Calculate longitude", + " Longitude: 115.61309°", + "FINAL ANSWER: 24.067030, 115.613090" + ] + }, + { + "task": "format_conversion", + "location_name": "Trossingen", + "source_format": "decimal_degrees", + "source_string": "48.076670, 8.644090", + "target_format": "DMS", + "ground_truth": { + "target_string": "48°4'36.0\"N, 8°38'38.7\"E", + "latitude": 48.07667, + "longitude": 8.64409 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 48.076670, 8.644090", + " Latitude: 48.07667°", + " Longitude: 8.64409°", + "Step 2: Convert latitude to DMS", + " Degrees = 48", + " Minutes = int((48.076670 - 48) × 60) = 4", + " Seconds = ((48.076670 - 48) × 60 - 4) × 60 = 36.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 8", + " Minutes = 38", + " Seconds = 38.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 48°4'36.0\"N, 8°38'38.7\"E", + "FINAL ANSWER: 48°4'36.0\"N, 8°38'38.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Liuxin", + "source_format": "DMS", + "source_string": "34°22'7.0\"N, 117°6'54.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "34.368610, 117.115000", + "latitude": 34.36861, + "longitude": 117.115 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 34°22'7.0\"N, 117°6'54.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 34.36861°", + "Step 4: Calculate longitude", + " Longitude: 117.115°", + "FINAL ANSWER: 34.368610, 117.115000" + ] + }, + { + "task": "format_conversion", + "location_name": "Moncloa-Aravaca", + "source_format": "DMS", + "source_string": "40°26'7.7\"N, 3°43'54.1\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.435470, -3.731700", + "latitude": 40.43547, + "longitude": -3.7317 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°26'7.7\"N, 3°43'54.1\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 40.43547°", + "Step 4: Calculate longitude", + " Longitude: -3.7317°", + "FINAL ANSWER: 40.435470, -3.731700" + ] + }, + { + "task": "format_conversion", + "location_name": "Jinshi", + "source_format": "decimal_degrees", + "source_string": "29.604870, 111.870120", + "target_format": "DMS", + "ground_truth": { + "target_string": "29°36'17.5\"N, 111°52'12.4\"E", + "latitude": 29.60487, + "longitude": 111.87012 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 29.604870, 111.870120", + " Latitude: 29.60487°", + " Longitude: 111.87012°", + "Step 2: Convert latitude to DMS", + " Degrees = 29", + " Minutes = int((29.604870 - 29) × 60) = 36", + " Seconds = ((29.604870 - 29) × 60 - 36) × 60 = 17.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 111", + " Minutes = 52", + " Seconds = 12.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 29°36'17.5\"N, 111°52'12.4\"E", + "FINAL ANSWER: 29°36'17.5\"N, 111°52'12.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Godda", + "source_format": "decimal_degrees", + "source_string": "24.827000, 87.212500", + "target_format": "DMS", + "ground_truth": { + "target_string": "24°49'37.2\"N, 87°12'45.0\"E", + "latitude": 24.827, + "longitude": 87.2125 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 24.827000, 87.212500", + " Latitude: 24.827°", + " Longitude: 87.2125°", + "Step 2: Convert latitude to DMS", + " Degrees = 24", + " Minutes = int((24.827000 - 24) × 60) = 49", + " Seconds = ((24.827000 - 24) × 60 - 49) × 60 = 37.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 87", + " Minutes = 12", + " Seconds = 45.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 24°49'37.2\"N, 87°12'45.0\"E", + "FINAL ANSWER: 24°49'37.2\"N, 87°12'45.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Ibaiti", + "source_format": "decimal_degrees", + "source_string": "-23.848610, -50.187780", + "target_format": "DMS", + "ground_truth": { + "target_string": "23°50'55.0\"S, 50°11'16.0\"W", + "latitude": -23.84861, + "longitude": -50.18778 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -23.848610, -50.187780", + " Latitude: -23.84861°", + " Longitude: -50.18778°", + "Step 2: Convert latitude to DMS", + " Degrees = 23", + " Minutes = int((23.848610 - 23) × 60) = 50", + " Seconds = ((23.848610 - 23) × 60 - 50) × 60 = 55.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 50", + " Minutes = 11", + " Seconds = 16.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 23°50'55.0\"S, 50°11'16.0\"W", + "FINAL ANSWER: 23°50'55.0\"S, 50°11'16.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Drăgăşani", + "source_format": "DMS", + "source_string": "44°38'60.0\"N, 24°16'0.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "44.650000, 24.266670", + "latitude": 44.65, + "longitude": 24.26667 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 44°38'60.0\"N, 24°16'0.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 44.65°", + "Step 4: Calculate longitude", + " Longitude: 24.26667°", + "FINAL ANSWER: 44.650000, 24.266670" + ] + }, + { + "task": "format_conversion", + "location_name": "Kellyville", + "source_format": "decimal_degrees", + "source_string": "-33.710280, 150.950950", + "target_format": "DMS", + "ground_truth": { + "target_string": "33°42'37.0\"S, 150°57'3.4\"E", + "latitude": -33.71028, + "longitude": 150.95095 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -33.710280, 150.950950", + " Latitude: -33.71028°", + " Longitude: 150.95095°", + "Step 2: Convert latitude to DMS", + " Degrees = 33", + " Minutes = int((33.710280 - 33) × 60) = 42", + " Seconds = ((33.710280 - 33) × 60 - 42) × 60 = 37.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 150", + " Minutes = 57", + " Seconds = 3.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 33°42'37.0\"S, 150°57'3.4\"E", + "FINAL ANSWER: 33°42'37.0\"S, 150°57'3.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Colmar", + "source_format": "DMS", + "source_string": "48°4'50.8\"N, 7°21'21.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "48.080780, 7.355840", + "latitude": 48.08078, + "longitude": 7.35584 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 48°4'50.8\"N, 7°21'21.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 48.08078°", + "Step 4: Calculate longitude", + " Longitude: 7.35584°", + "FINAL ANSWER: 48.080780, 7.355840" + ] + }, + { + "task": "format_conversion", + "location_name": "Esher", + "source_format": "decimal_degrees", + "source_string": "51.369690, -0.366930", + "target_format": "DMS", + "ground_truth": { + "target_string": "51°22'10.9\"N, 0°22'0.9\"W", + "latitude": 51.36969, + "longitude": -0.36693 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 51.369690, -0.366930", + " Latitude: 51.36969°", + " Longitude: -0.36693°", + "Step 2: Convert latitude to DMS", + " Degrees = 51", + " Minutes = int((51.369690 - 51) × 60) = 22", + " Seconds = ((51.369690 - 51) × 60 - 22) × 60 = 10.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 0", + " Minutes = 22", + " Seconds = 0.9", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 51°22'10.9\"N, 0°22'0.9\"W", + "FINAL ANSWER: 51°22'10.9\"N, 0°22'0.9\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Nepalgunj", + "source_format": "decimal_degrees", + "source_string": "28.050000, 81.616670", + "target_format": "DMS", + "ground_truth": { + "target_string": "28°3'0.0\"N, 81°37'0.0\"E", + "latitude": 28.05, + "longitude": 81.61667 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 28.050000, 81.616670", + " Latitude: 28.05°", + " Longitude: 81.61667°", + "Step 2: Convert latitude to DMS", + " Degrees = 28", + " Minutes = int((28.050000 - 28) × 60) = 3", + " Seconds = ((28.050000 - 28) × 60 - 3) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 81", + " Minutes = 37", + " Seconds = 0.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 28°3'0.0\"N, 81°37'0.0\"E", + "FINAL ANSWER: 28°3'0.0\"N, 81°37'0.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Čair", + "source_format": "DMS", + "source_string": "42°0'55.0\"N, 21°26'28.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "42.015280, 21.441110", + "latitude": 42.01528, + "longitude": 21.44111 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 42°0'55.0\"N, 21°26'28.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 42.01528°", + "Step 4: Calculate longitude", + " Longitude: 21.44111°", + "FINAL ANSWER: 42.015280, 21.441110" + ] + }, + { + "task": "format_conversion", + "location_name": "Erftstadt", + "source_format": "DMS", + "source_string": "50°48'53.3\"N, 6°47'37.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "50.814810, 6.793870", + "latitude": 50.81481, + "longitude": 6.79387 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 50°48'53.3\"N, 6°47'37.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 50.81481°", + "Step 4: Calculate longitude", + " Longitude: 6.79387°", + "FINAL ANSWER: 50.814810, 6.793870" + ] + }, + { + "task": "format_conversion", + "location_name": "Humacao", + "source_format": "DMS", + "source_string": "18°8'58.8\"N, 65°49'38.6\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "18.149680, -65.827380", + "latitude": 18.14968, + "longitude": -65.82738 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 18°8'58.8\"N, 65°49'38.6\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 18.14968°", + "Step 4: Calculate longitude", + " Longitude: -65.82738°", + "FINAL ANSWER: 18.149680, -65.827380" + ] + }, + { + "task": "format_conversion", + "location_name": "Wednesbury", + "source_format": "decimal_degrees", + "source_string": "52.551400, -2.023550", + "target_format": "DMS", + "ground_truth": { + "target_string": "52°33'5.0\"N, 2°1'24.8\"W", + "latitude": 52.5514, + "longitude": -2.02355 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 52.551400, -2.023550", + " Latitude: 52.5514°", + " Longitude: -2.02355°", + "Step 2: Convert latitude to DMS", + " Degrees = 52", + " Minutes = int((52.551400 - 52) × 60) = 33", + " Seconds = ((52.551400 - 52) × 60 - 33) × 60 = 5.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 2", + " Minutes = 1", + " Seconds = 24.8", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 52°33'5.0\"N, 2°1'24.8\"W", + "FINAL ANSWER: 52°33'5.0\"N, 2°1'24.8\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Oak Hill", + "source_format": "decimal_degrees", + "source_string": "38.925800, -77.401560", + "target_format": "DMS", + "ground_truth": { + "target_string": "38°55'32.9\"N, 77°24'5.6\"W", + "latitude": 38.9258, + "longitude": -77.40156 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 38.925800, -77.401560", + " Latitude: 38.9258°", + " Longitude: -77.40156°", + "Step 2: Convert latitude to DMS", + " Degrees = 38", + " Minutes = int((38.925800 - 38) × 60) = 55", + " Seconds = ((38.925800 - 38) × 60 - 55) × 60 = 32.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 77", + " Minutes = 24", + " Seconds = 5.6", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 38°55'32.9\"N, 77°24'5.6\"W", + "FINAL ANSWER: 38°55'32.9\"N, 77°24'5.6\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "West Molesey", + "source_format": "DMS", + "source_string": "51°23'59.5\"N, 0°22'47.9\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "51.399850, -0.379970", + "latitude": 51.39985, + "longitude": -0.37997 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 51°23'59.5\"N, 0°22'47.9\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 51.39985°", + "Step 4: Calculate longitude", + " Longitude: -0.37997°", + "FINAL ANSWER: 51.399850, -0.379970" + ] + }, + { + "task": "format_conversion", + "location_name": "Boshkengash", + "source_format": "DMS", + "source_string": "38°27'58.1\"N, 68°48'19.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "38.466130, 68.805330", + "latitude": 38.46613, + "longitude": 68.80533 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 38°27'58.1\"N, 68°48'19.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 38.46613°", + "Step 4: Calculate longitude", + " Longitude: 68.80533°", + "FINAL ANSWER: 38.466130, 68.805330" + ] + }, + { + "task": "format_conversion", + "location_name": "Kempten (Allgäu)", + "source_format": "decimal_degrees", + "source_string": "47.726740, 10.313890", + "target_format": "DMS", + "ground_truth": { + "target_string": "47°43'36.3\"N, 10°18'50.0\"E", + "latitude": 47.72674, + "longitude": 10.31389 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 47.726740, 10.313890", + " Latitude: 47.72674°", + " Longitude: 10.31389°", + "Step 2: Convert latitude to DMS", + " Degrees = 47", + " Minutes = int((47.726740 - 47) × 60) = 43", + " Seconds = ((47.726740 - 47) × 60 - 43) × 60 = 36.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 10", + " Minutes = 18", + " Seconds = 50.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 47°43'36.3\"N, 10°18'50.0\"E", + "FINAL ANSWER: 47°43'36.3\"N, 10°18'50.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Sagrada Família", + "source_format": "DMS", + "source_string": "41°24'14.7\"N, 2°10'24.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "41.404080, 2.173320", + "latitude": 41.40408, + "longitude": 2.17332 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 41°24'14.7\"N, 2°10'24.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 41.40408°", + "Step 4: Calculate longitude", + " Longitude: 2.17332°", + "FINAL ANSWER: 41.404080, 2.173320" + ] + }, + { + "task": "format_conversion", + "location_name": "Lanxi", + "source_format": "decimal_degrees", + "source_string": "46.257730, 126.280650", + "target_format": "DMS", + "ground_truth": { + "target_string": "46°15'27.8\"N, 126°16'50.3\"E", + "latitude": 46.25773, + "longitude": 126.28065 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 46.257730, 126.280650", + " Latitude: 46.25773°", + " Longitude: 126.28065°", + "Step 2: Convert latitude to DMS", + " Degrees = 46", + " Minutes = int((46.257730 - 46) × 60) = 15", + " Seconds = ((46.257730 - 46) × 60 - 15) × 60 = 27.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 126", + " Minutes = 16", + " Seconds = 50.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 46°15'27.8\"N, 126°16'50.3\"E", + "FINAL ANSWER: 46°15'27.8\"N, 126°16'50.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Alekseyevka", + "source_format": "decimal_degrees", + "source_string": "55.630000, 37.800000", + "target_format": "DMS", + "ground_truth": { + "target_string": "55°37'48.0\"N, 37°47'60.0\"E", + "latitude": 55.63, + "longitude": 37.8 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 55.630000, 37.800000", + " Latitude: 55.63°", + " Longitude: 37.8°", + "Step 2: Convert latitude to DMS", + " Degrees = 55", + " Minutes = int((55.630000 - 55) × 60) = 37", + " Seconds = ((55.630000 - 55) × 60 - 37) × 60 = 48.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 37", + " Minutes = 47", + " Seconds = 60.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 55°37'48.0\"N, 37°47'60.0\"E", + "FINAL ANSWER: 55°37'48.0\"N, 37°47'60.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Shrīrangapattana", + "source_format": "DMS", + "source_string": "12°25'21.5\"N, 76°41'3.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "12.422640, 76.684390", + "latitude": 12.42264, + "longitude": 76.68439 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 12°25'21.5\"N, 76°41'3.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 12.42264°", + "Step 4: Calculate longitude", + " Longitude: 76.68439°", + "FINAL ANSWER: 12.422640, 76.684390" + ] + }, + { + "task": "format_conversion", + "location_name": "Bristol", + "source_format": "DMS", + "source_string": "36°35'47.4\"N, 82°11'18.5\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "36.596490, -82.188470", + "latitude": 36.59649, + "longitude": -82.18847 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 36°35'47.4\"N, 82°11'18.5\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 36.59649°", + "Step 4: Calculate longitude", + " Longitude: -82.18847°", + "FINAL ANSWER: 36.596490, -82.188470" + ] + }, + { + "task": "format_conversion", + "location_name": "Un", + "source_format": "decimal_degrees", + "source_string": "23.887450, 71.769750", + "target_format": "DMS", + "ground_truth": { + "target_string": "23°53'14.8\"N, 71°46'11.1\"E", + "latitude": 23.88745, + "longitude": 71.76975 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 23.887450, 71.769750", + " Latitude: 23.88745°", + " Longitude: 71.76975°", + "Step 2: Convert latitude to DMS", + " Degrees = 23", + " Minutes = int((23.887450 - 23) × 60) = 53", + " Seconds = ((23.887450 - 23) × 60 - 53) × 60 = 14.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 71", + " Minutes = 46", + " Seconds = 11.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 23°53'14.8\"N, 71°46'11.1\"E", + "FINAL ANSWER: 23°53'14.8\"N, 71°46'11.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Tsz Wan Shan", + "source_format": "decimal_degrees", + "source_string": "22.352470, 114.200160", + "target_format": "DMS", + "ground_truth": { + "target_string": "22°21'8.9\"N, 114°12'0.6\"E", + "latitude": 22.35247, + "longitude": 114.20016 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 22.352470, 114.200160", + " Latitude: 22.35247°", + " Longitude: 114.20016°", + "Step 2: Convert latitude to DMS", + " Degrees = 22", + " Minutes = int((22.352470 - 22) × 60) = 21", + " Seconds = ((22.352470 - 22) × 60 - 21) × 60 = 8.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 114", + " Minutes = 12", + " Seconds = 0.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 22°21'8.9\"N, 114°12'0.6\"E", + "FINAL ANSWER: 22°21'8.9\"N, 114°12'0.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Palabana", + "source_format": "decimal_degrees", + "source_string": "-15.446230, 28.534360", + "target_format": "DMS", + "ground_truth": { + "target_string": "15°26'46.4\"S, 28°32'3.7\"E", + "latitude": -15.44623, + "longitude": 28.53436 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -15.446230, 28.534360", + " Latitude: -15.44623°", + " Longitude: 28.53436°", + "Step 2: Convert latitude to DMS", + " Degrees = 15", + " Minutes = int((15.446230 - 15) × 60) = 26", + " Seconds = ((15.446230 - 15) × 60 - 26) × 60 = 46.4", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 28", + " Minutes = 32", + " Seconds = 3.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 15°26'46.4\"S, 28°32'3.7\"E", + "FINAL ANSWER: 15°26'46.4\"S, 28°32'3.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Newquay", + "source_format": "DMS", + "source_string": "50°24'56.1\"N, 5°4'23.5\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "50.415570, -5.073190", + "latitude": 50.41557, + "longitude": -5.07319 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 50°24'56.1\"N, 5°4'23.5\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 50.41557°", + "Step 4: Calculate longitude", + " Longitude: -5.07319°", + "FINAL ANSWER: 50.415570, -5.073190" + ] + }, + { + "task": "format_conversion", + "location_name": "Castries", + "source_format": "decimal_degrees", + "source_string": "13.995700, -61.006140", + "target_format": "DMS", + "ground_truth": { + "target_string": "13°59'44.5\"N, 61°0'22.1\"W", + "latitude": 13.9957, + "longitude": -61.00614 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 13.995700, -61.006140", + " Latitude: 13.9957°", + " Longitude: -61.00614°", + "Step 2: Convert latitude to DMS", + " Degrees = 13", + " Minutes = int((13.995700 - 13) × 60) = 59", + " Seconds = ((13.995700 - 13) × 60 - 59) × 60 = 44.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 61", + " Minutes = 0", + " Seconds = 22.1", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 13°59'44.5\"N, 61°0'22.1\"W", + "FINAL ANSWER: 13°59'44.5\"N, 61°0'22.1\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Prunedale", + "source_format": "DMS", + "source_string": "36°46'32.8\"N, 121°40'10.8\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "36.775790, -121.669670", + "latitude": 36.77579, + "longitude": -121.66967 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 36°46'32.8\"N, 121°40'10.8\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 36.77579°", + "Step 4: Calculate longitude", + " Longitude: -121.66967°", + "FINAL ANSWER: 36.775790, -121.669670" + ] + }, + { + "task": "format_conversion", + "location_name": "Āsosa", + "source_format": "decimal_degrees", + "source_string": "10.066670, 34.533330", + "target_format": "DMS", + "ground_truth": { + "target_string": "10°4'0.0\"N, 34°31'60.0\"E", + "latitude": 10.06667, + "longitude": 34.53333 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 10.066670, 34.533330", + " Latitude: 10.06667°", + " Longitude: 34.53333°", + "Step 2: Convert latitude to DMS", + " Degrees = 10", + " Minutes = int((10.066670 - 10) × 60) = 4", + " Seconds = ((10.066670 - 10) × 60 - 4) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 34", + " Minutes = 31", + " Seconds = 60.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 10°4'0.0\"N, 34°31'60.0\"E", + "FINAL ANSWER: 10°4'0.0\"N, 34°31'60.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Freha", + "source_format": "DMS", + "source_string": "36°45'8.4\"N, 4°18'55.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "36.752340, 4.315500", + "latitude": 36.75234, + "longitude": 4.3155 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 36°45'8.4\"N, 4°18'55.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 36.75234°", + "Step 4: Calculate longitude", + " Longitude: 4.3155°", + "FINAL ANSWER: 36.752340, 4.315500" + ] + }, + { + "task": "format_conversion", + "location_name": "Halifax", + "source_format": "DMS", + "source_string": "53°43'0.0\"N, 1°51'0.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "53.716670, -1.850000", + "latitude": 53.71667, + "longitude": -1.85 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 53°43'0.0\"N, 1°51'0.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 53.71667°", + "Step 4: Calculate longitude", + " Longitude: -1.85°", + "FINAL ANSWER: 53.716670, -1.850000" + ] + }, + { + "task": "format_conversion", + "location_name": "Sohar", + "source_format": "DMS", + "source_string": "24°20'50.8\"N, 56°42'33.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "24.347450, 56.709370", + "latitude": 24.34745, + "longitude": 56.70937 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 24°20'50.8\"N, 56°42'33.7\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 24.34745°", + "Step 4: Calculate longitude", + " Longitude: 56.70937°", + "FINAL ANSWER: 24.347450, 56.709370" + ] + }, + { + "task": "format_conversion", + "location_name": "Khulna", + "source_format": "DMS", + "source_string": "22°48'35.2\"N, 89°33'51.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "22.809790, 89.564390", + "latitude": 22.80979, + "longitude": 89.56439 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 22°48'35.2\"N, 89°33'51.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 22.80979°", + "Step 4: Calculate longitude", + " Longitude: 89.56439°", + "FINAL ANSWER: 22.809790, 89.564390" + ] + }, + { + "task": "format_conversion", + "location_name": "Bani Walid", + "source_format": "DMS", + "source_string": "31°44'43.9\"N, 13°59'0.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "31.745540, 13.983540", + "latitude": 31.74554, + "longitude": 13.98354 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 31°44'43.9\"N, 13°59'0.7\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 31.74554°", + "Step 4: Calculate longitude", + " Longitude: 13.98354°", + "FINAL ANSWER: 31.745540, 13.983540" + ] + }, + { + "task": "format_conversion", + "location_name": "Chanhassen", + "source_format": "DMS", + "source_string": "44°51'43.9\"N, 93°31'50.8\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "44.862190, -93.530790", + "latitude": 44.86219, + "longitude": -93.53079 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 44°51'43.9\"N, 93°31'50.8\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 44.86219°", + "Step 4: Calculate longitude", + " Longitude: -93.53079°", + "FINAL ANSWER: 44.862190, -93.530790" + ] + }, + { + "task": "format_conversion", + "location_name": "Ponnāni", + "source_format": "decimal_degrees", + "source_string": "10.766950, 75.925230", + "target_format": "DMS", + "ground_truth": { + "target_string": "10°46'1.0\"N, 75°55'30.8\"E", + "latitude": 10.76695, + "longitude": 75.92523 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 10.766950, 75.925230", + " Latitude: 10.76695°", + " Longitude: 75.92523°", + "Step 2: Convert latitude to DMS", + " Degrees = 10", + " Minutes = int((10.766950 - 10) × 60) = 46", + " Seconds = ((10.766950 - 10) × 60 - 46) × 60 = 1.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 75", + " Minutes = 55", + " Seconds = 30.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 10°46'1.0\"N, 75°55'30.8\"E", + "FINAL ANSWER: 10°46'1.0\"N, 75°55'30.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Hoge Vucht", + "source_format": "decimal_degrees", + "source_string": "51.607940, 4.791500", + "target_format": "DMS", + "ground_truth": { + "target_string": "51°36'28.6\"N, 4°47'29.4\"E", + "latitude": 51.60794, + "longitude": 4.7915 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 51.607940, 4.791500", + " Latitude: 51.60794°", + " Longitude: 4.7915°", + "Step 2: Convert latitude to DMS", + " Degrees = 51", + " Minutes = int((51.607940 - 51) × 60) = 36", + " Seconds = ((51.607940 - 51) × 60 - 36) × 60 = 28.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 4", + " Minutes = 47", + " Seconds = 29.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 51°36'28.6\"N, 4°47'29.4\"E", + "FINAL ANSWER: 51°36'28.6\"N, 4°47'29.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Peddapalli", + "source_format": "DMS", + "source_string": "18°36'48.9\"N, 79°22'27.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "18.613570, 79.374420", + "latitude": 18.61357, + "longitude": 79.37442 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 18°36'48.9\"N, 79°22'27.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 18.61357°", + "Step 4: Calculate longitude", + " Longitude: 79.37442°", + "FINAL ANSWER: 18.613570, 79.374420" + ] + }, + { + "task": "format_conversion", + "location_name": "Millau", + "source_format": "decimal_degrees", + "source_string": "44.099730, 3.078480", + "target_format": "DMS", + "ground_truth": { + "target_string": "44°5'59.0\"N, 3°4'42.5\"E", + "latitude": 44.09973, + "longitude": 3.07848 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 44.099730, 3.078480", + " Latitude: 44.09973°", + " Longitude: 3.07848°", + "Step 2: Convert latitude to DMS", + " Degrees = 44", + " Minutes = int((44.099730 - 44) × 60) = 5", + " Seconds = ((44.099730 - 44) × 60 - 5) × 60 = 59.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 3", + " Minutes = 4", + " Seconds = 42.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 44°5'59.0\"N, 3°4'42.5\"E", + "FINAL ANSWER: 44°5'59.0\"N, 3°4'42.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Azov", + "source_format": "DMS", + "source_string": "47°6'24.8\"N, 39°24'53.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "47.106900, 39.414860", + "latitude": 47.1069, + "longitude": 39.41486 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 47°6'24.8\"N, 39°24'53.5\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 47.1069°", + "Step 4: Calculate longitude", + " Longitude: 39.41486°", + "FINAL ANSWER: 47.106900, 39.414860" + ] + }, + { + "task": "format_conversion", + "location_name": "Paine", + "source_format": "decimal_degrees", + "source_string": "-33.807960, -70.741090", + "target_format": "DMS", + "ground_truth": { + "target_string": "33°48'28.7\"S, 70°44'27.9\"W", + "latitude": -33.80796, + "longitude": -70.74109 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -33.807960, -70.741090", + " Latitude: -33.80796°", + " Longitude: -70.74109°", + "Step 2: Convert latitude to DMS", + " Degrees = 33", + " Minutes = int((33.807960 - 33) × 60) = 48", + " Seconds = ((33.807960 - 33) × 60 - 48) × 60 = 28.7", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 70", + " Minutes = 44", + " Seconds = 27.9", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 33°48'28.7\"S, 70°44'27.9\"W", + "FINAL ANSWER: 33°48'28.7\"S, 70°44'27.9\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Campos dos Goytacazes", + "source_format": "DMS", + "source_string": "21°45'8.2\"S, 41°19'49.6\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-21.752270, -41.330440", + "latitude": -21.75227, + "longitude": -41.33044 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 21°45'8.2\"S, 41°19'49.6\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -21.75227°", + "Step 4: Calculate longitude", + " Longitude: -41.33044°", + "FINAL ANSWER: -21.752270, -41.330440" + ] + }, + { + "task": "format_conversion", + "location_name": "Oakville", + "source_format": "DMS", + "source_string": "38°28'12.2\"N, 90°18'16.4\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "38.470050, -90.304560", + "latitude": 38.47005, + "longitude": -90.30456 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 38°28'12.2\"N, 90°18'16.4\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 38.47005°", + "Step 4: Calculate longitude", + " Longitude: -90.30456°", + "FINAL ANSWER: 38.470050, -90.304560" + ] + }, + { + "task": "format_conversion", + "location_name": "Sarajevo", + "source_format": "decimal_degrees", + "source_string": "43.848640, 18.356440", + "target_format": "DMS", + "ground_truth": { + "target_string": "43°50'55.1\"N, 18°21'23.2\"E", + "latitude": 43.84864, + "longitude": 18.35644 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 43.848640, 18.356440", + " Latitude: 43.84864°", + " Longitude: 18.35644°", + "Step 2: Convert latitude to DMS", + " Degrees = 43", + " Minutes = int((43.848640 - 43) × 60) = 50", + " Seconds = ((43.848640 - 43) × 60 - 50) × 60 = 55.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 18", + " Minutes = 21", + " Seconds = 23.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 43°50'55.1\"N, 18°21'23.2\"E", + "FINAL ANSWER: 43°50'55.1\"N, 18°21'23.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Canapi", + "source_format": "DMS", + "source_string": "9°7'1.0\"S, 37°36'8.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-9.116940, -37.602220", + "latitude": -9.11694, + "longitude": -37.60222 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 9°7'1.0\"S, 37°36'8.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -9.11694°", + "Step 4: Calculate longitude", + " Longitude: -37.60222°", + "FINAL ANSWER: -9.116940, -37.602220" + ] + }, + { + "task": "format_conversion", + "location_name": "North Haven", + "source_format": "DMS", + "source_string": "41°23'27.3\"N, 72°51'34.3\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "41.390930, -72.859540", + "latitude": 41.39093, + "longitude": -72.85954 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 41°23'27.3\"N, 72°51'34.3\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 41.39093°", + "Step 4: Calculate longitude", + " Longitude: -72.85954°", + "FINAL ANSWER: 41.390930, -72.859540" + ] + }, + { + "task": "format_conversion", + "location_name": "Laixi", + "source_format": "DMS", + "source_string": "36°51'33.0\"N, 120°31'37.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "36.859170, 120.526940", + "latitude": 36.85917, + "longitude": 120.52694 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 36°51'33.0\"N, 120°31'37.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 36.85917°", + "Step 4: Calculate longitude", + " Longitude: 120.52694°", + "FINAL ANSWER: 36.859170, 120.526940" + ] + }, + { + "task": "format_conversion", + "location_name": "Jacksonville", + "source_format": "decimal_degrees", + "source_string": "34.866200, -92.110150", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°51'58.3\"N, 92°6'36.5\"W", + "latitude": 34.8662, + "longitude": -92.11015 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 34.866200, -92.110150", + " Latitude: 34.8662°", + " Longitude: -92.11015°", + "Step 2: Convert latitude to DMS", + " Degrees = 34", + " Minutes = int((34.866200 - 34) × 60) = 51", + " Seconds = ((34.866200 - 34) × 60 - 51) × 60 = 58.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 92", + " Minutes = 6", + " Seconds = 36.5", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 34°51'58.3\"N, 92°6'36.5\"W", + "FINAL ANSWER: 34°51'58.3\"N, 92°6'36.5\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Westerly", + "source_format": "decimal_degrees", + "source_string": "41.377600, -71.827290", + "target_format": "DMS", + "ground_truth": { + "target_string": "41°22'39.4\"N, 71°49'38.2\"W", + "latitude": 41.3776, + "longitude": -71.82729 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 41.377600, -71.827290", + " Latitude: 41.3776°", + " Longitude: -71.82729°", + "Step 2: Convert latitude to DMS", + " Degrees = 41", + " Minutes = int((41.377600 - 41) × 60) = 22", + " Seconds = ((41.377600 - 41) × 60 - 22) × 60 = 39.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 71", + " Minutes = 49", + " Seconds = 38.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 41°22'39.4\"N, 71°49'38.2\"W", + "FINAL ANSWER: 41°22'39.4\"N, 71°49'38.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Bellingham", + "source_format": "DMS", + "source_string": "48°45'34.4\"N, 122°29'17.6\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "48.759550, -122.488220", + "latitude": 48.75955, + "longitude": -122.48822 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 48°45'34.4\"N, 122°29'17.6\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 48.75955°", + "Step 4: Calculate longitude", + " Longitude: -122.48822°", + "FINAL ANSWER: 48.759550, -122.488220" + ] + }, + { + "task": "format_conversion", + "location_name": "Al Jumūm", + "source_format": "DD", + "source_string": "21.619510, 39.696590", + "target_format": "DMS", + "ground_truth": { + "target_string": "21°37'10.2\"N, 39°41'47.7\"E", + "latitude": 21.61951, + "longitude": 39.69659 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: 21.619510, 39.696590", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 21°37'10.2\"N, 39°41'47.7\"E", + "FINAL ANSWER: 21°37'10.2\"N, 39°41'47.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kalaburagi", + "source_format": "decimal_degrees", + "source_string": "17.335830, 76.837570", + "target_format": "DMS", + "ground_truth": { + "target_string": "17°20'9.0\"N, 76°50'15.3\"E", + "latitude": 17.33583, + "longitude": 76.83757 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 17.335830, 76.837570", + " Latitude: 17.33583°", + " Longitude: 76.83757°", + "Step 2: Convert latitude to DMS", + " Degrees = 17", + " Minutes = int((17.335830 - 17) × 60) = 20", + " Seconds = ((17.335830 - 17) × 60 - 20) × 60 = 9.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 76", + " Minutes = 50", + " Seconds = 15.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 17°20'9.0\"N, 76°50'15.3\"E", + "FINAL ANSWER: 17°20'9.0\"N, 76°50'15.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Timizart", + "source_format": "DMS", + "source_string": "36°47'60.0\"N, 4°16'0.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "36.800000, 4.266670", + "latitude": 36.8, + "longitude": 4.26667 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 36°47'60.0\"N, 4°16'0.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 36.8°", + "Step 4: Calculate longitude", + " Longitude: 4.26667°", + "FINAL ANSWER: 36.800000, 4.266670" + ] + }, + { + "task": "format_conversion", + "location_name": "Gentilly", + "source_format": "DD", + "source_string": "48.812940, 2.341700", + "target_format": "DMS", + "ground_truth": { + "target_string": "48°48'46.6\"N, 2°20'30.1\"E", + "latitude": 48.81294, + "longitude": 2.3417 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: 48.812940, 2.341700", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 48°48'46.6\"N, 2°20'30.1\"E", + "FINAL ANSWER: 48°48'46.6\"N, 2°20'30.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Piskent", + "source_format": "decimal_degrees", + "source_string": "40.897220, 69.350560", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°53'50.0\"N, 69°21'2.0\"E", + "latitude": 40.89722, + "longitude": 69.35056 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.897220, 69.350560", + " Latitude: 40.89722°", + " Longitude: 69.35056°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.897220 - 40) × 60) = 53", + " Seconds = ((40.897220 - 40) × 60 - 53) × 60 = 50.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 69", + " Minutes = 21", + " Seconds = 2.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 40°53'50.0\"N, 69°21'2.0\"E", + "FINAL ANSWER: 40°53'50.0\"N, 69°21'2.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Matanzas", + "source_format": "decimal_degrees", + "source_string": "23.043880, -81.582840", + "target_format": "DMS", + "ground_truth": { + "target_string": "23°2'38.0\"N, 81°34'58.2\"W", + "latitude": 23.04388, + "longitude": -81.58284 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 23.043880, -81.582840", + " Latitude: 23.04388°", + " Longitude: -81.58284°", + "Step 2: Convert latitude to DMS", + " Degrees = 23", + " Minutes = int((23.043880 - 23) × 60) = 2", + " Seconds = ((23.043880 - 23) × 60 - 2) × 60 = 38.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 81", + " Minutes = 34", + " Seconds = 58.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 23°2'38.0\"N, 81°34'58.2\"W", + "FINAL ANSWER: 23°2'38.0\"N, 81°34'58.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Fatehābād", + "source_format": "decimal_degrees", + "source_string": "27.026450, 78.302700", + "target_format": "DMS", + "ground_truth": { + "target_string": "27°1'35.2\"N, 78°18'9.7\"E", + "latitude": 27.02645, + "longitude": 78.3027 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 27.026450, 78.302700", + " Latitude: 27.02645°", + " Longitude: 78.3027°", + "Step 2: Convert latitude to DMS", + " Degrees = 27", + " Minutes = int((27.026450 - 27) × 60) = 1", + " Seconds = ((27.026450 - 27) × 60 - 1) × 60 = 35.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 78", + " Minutes = 18", + " Seconds = 9.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 27°1'35.2\"N, 78°18'9.7\"E", + "FINAL ANSWER: 27°1'35.2\"N, 78°18'9.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Chimaltenango", + "source_format": "decimal_degrees", + "source_string": "14.658810, -90.821600", + "target_format": "DMS", + "ground_truth": { + "target_string": "14°39'31.7\"N, 90°49'17.8\"W", + "latitude": 14.65881, + "longitude": -90.8216 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 14.658810, -90.821600", + " Latitude: 14.65881°", + " Longitude: -90.8216°", + "Step 2: Convert latitude to DMS", + " Degrees = 14", + " Minutes = int((14.658810 - 14) × 60) = 39", + " Seconds = ((14.658810 - 14) × 60 - 39) × 60 = 31.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 90", + " Minutes = 49", + " Seconds = 17.8", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 14°39'31.7\"N, 90°49'17.8\"W", + "FINAL ANSWER: 14°39'31.7\"N, 90°49'17.8\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Hausbruch", + "source_format": "DMS", + "source_string": "53°28'27.3\"N, 9°52'58.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "53.474240, 9.882890", + "latitude": 53.47424, + "longitude": 9.88289 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 53°28'27.3\"N, 9°52'58.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 53.47424°", + "Step 4: Calculate longitude", + " Longitude: 9.88289°", + "FINAL ANSWER: 53.474240, 9.882890" + ] + }, + { + "task": "format_conversion", + "location_name": "Santa Maria da Vitória", + "source_format": "DMS", + "source_string": "13°23'17.3\"S, 44°11'55.2\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-13.388140, -44.198680", + "latitude": -13.38814, + "longitude": -44.19868 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 13°23'17.3\"S, 44°11'55.2\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -13.38814°", + "Step 4: Calculate longitude", + " Longitude: -44.19868°", + "FINAL ANSWER: -13.388140, -44.198680" + ] + }, + { + "task": "format_conversion", + "location_name": "Petrogradka", + "source_format": "decimal_degrees", + "source_string": "59.965670, 30.311540", + "target_format": "DMS", + "ground_truth": { + "target_string": "59°57'56.4\"N, 30°18'41.5\"E", + "latitude": 59.96567, + "longitude": 30.31154 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 59.965670, 30.311540", + " Latitude: 59.96567°", + " Longitude: 30.31154°", + "Step 2: Convert latitude to DMS", + " Degrees = 59", + " Minutes = int((59.965670 - 59) × 60) = 57", + " Seconds = ((59.965670 - 59) × 60 - 57) × 60 = 56.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 30", + " Minutes = 18", + " Seconds = 41.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 59°57'56.4\"N, 30°18'41.5\"E", + "FINAL ANSWER: 59°57'56.4\"N, 30°18'41.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Farato", + "source_format": "decimal_degrees", + "source_string": "13.400000, -14.216670", + "target_format": "DMS", + "ground_truth": { + "target_string": "13°24'0.0\"N, 14°13'0.0\"W", + "latitude": 13.4, + "longitude": -14.21667 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 13.400000, -14.216670", + " Latitude: 13.4°", + " Longitude: -14.21667°", + "Step 2: Convert latitude to DMS", + " Degrees = 13", + " Minutes = int((13.400000 - 13) × 60) = 24", + " Seconds = ((13.400000 - 13) × 60 - 24) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 14", + " Minutes = 13", + " Seconds = 0.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 13°24'0.0\"N, 14°13'0.0\"W", + "FINAL ANSWER: 13°24'0.0\"N, 14°13'0.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Cholargós", + "source_format": "decimal_degrees", + "source_string": "38.000000, 23.800000", + "target_format": "DMS", + "ground_truth": { + "target_string": "38°0'0.0\"N, 23°48'0.0\"E", + "latitude": 38.0, + "longitude": 23.8 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 38.000000, 23.800000", + " Latitude: 38.0°", + " Longitude: 23.8°", + "Step 2: Convert latitude to DMS", + " Degrees = 38", + " Minutes = int((38.000000 - 38) × 60) = 0", + " Seconds = ((38.000000 - 38) × 60 - 0) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 23", + " Minutes = 48", + " Seconds = 0.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 38°0'0.0\"N, 23°48'0.0\"E", + "FINAL ANSWER: 38°0'0.0\"N, 23°48'0.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Żary", + "source_format": "DMS", + "source_string": "51°38'31.4\"N, 15°8'14.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "51.642050, 15.137270", + "latitude": 51.64205, + "longitude": 15.13727 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 51°38'31.4\"N, 15°8'14.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 51.64205°", + "Step 4: Calculate longitude", + " Longitude: 15.13727°", + "FINAL ANSWER: 51.642050, 15.137270" + ] + }, + { + "task": "format_conversion", + "location_name": "Marratxí", + "source_format": "decimal_degrees", + "source_string": "39.621420, 2.725300", + "target_format": "DMS", + "ground_truth": { + "target_string": "39°37'17.1\"N, 2°43'31.1\"E", + "latitude": 39.62142, + "longitude": 2.7253 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 39.621420, 2.725300", + " Latitude: 39.62142°", + " Longitude: 2.7253°", + "Step 2: Convert latitude to DMS", + " Degrees = 39", + " Minutes = int((39.621420 - 39) × 60) = 37", + " Seconds = ((39.621420 - 39) × 60 - 37) × 60 = 17.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 2", + " Minutes = 43", + " Seconds = 31.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 39°37'17.1\"N, 2°43'31.1\"E", + "FINAL ANSWER: 39°37'17.1\"N, 2°43'31.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "La Laguna", + "source_format": "decimal_degrees", + "source_string": "28.485300, -16.320140", + "target_format": "DMS", + "ground_truth": { + "target_string": "28°29'7.1\"N, 16°19'12.5\"W", + "latitude": 28.4853, + "longitude": -16.32014 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 28.485300, -16.320140", + " Latitude: 28.4853°", + " Longitude: -16.32014°", + "Step 2: Convert latitude to DMS", + " Degrees = 28", + " Minutes = int((28.485300 - 28) × 60) = 29", + " Seconds = ((28.485300 - 28) × 60 - 29) × 60 = 7.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 16", + " Minutes = 19", + " Seconds = 12.5", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 28°29'7.1\"N, 16°19'12.5\"W", + "FINAL ANSWER: 28°29'7.1\"N, 16°19'12.5\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Man’gyŏngdae-ri", + "source_format": "DMS", + "source_string": "38°59'30.6\"N, 125°39'31.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "38.991820, 125.658710", + "latitude": 38.99182, + "longitude": 125.65871 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 38°59'30.6\"N, 125°39'31.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 38.99182°", + "Step 4: Calculate longitude", + " Longitude: 125.65871°", + "FINAL ANSWER: 38.991820, 125.658710" + ] + }, + { + "task": "format_conversion", + "location_name": "Qarshi", + "source_format": "decimal_degrees", + "source_string": "38.860560, 65.789050", + "target_format": "DMS", + "ground_truth": { + "target_string": "38°51'38.0\"N, 65°47'20.6\"E", + "latitude": 38.86056, + "longitude": 65.78905 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 38.860560, 65.789050", + " Latitude: 38.86056°", + " Longitude: 65.78905°", + "Step 2: Convert latitude to DMS", + " Degrees = 38", + " Minutes = int((38.860560 - 38) × 60) = 51", + " Seconds = ((38.860560 - 38) × 60 - 51) × 60 = 38.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 65", + " Minutes = 47", + " Seconds = 20.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 38°51'38.0\"N, 65°47'20.6\"E", + "FINAL ANSWER: 38°51'38.0\"N, 65°47'20.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Puerta Bonita", + "source_format": "DMS", + "source_string": "40°22'46.8\"N, 3°44'20.7\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.379660, -3.739090", + "latitude": 40.37966, + "longitude": -3.73909 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°22'46.8\"N, 3°44'20.7\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 40.37966°", + "Step 4: Calculate longitude", + " Longitude: -3.73909°", + "FINAL ANSWER: 40.379660, -3.739090" + ] + }, + { + "task": "format_conversion", + "location_name": "Taldykorgan", + "source_format": "DMS", + "source_string": "45°0'56.0\"N, 78°22'26.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "45.015560, 78.373890", + "latitude": 45.01556, + "longitude": 78.37389 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 45°0'56.0\"N, 78°22'26.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 45.01556°", + "Step 4: Calculate longitude", + " Longitude: 78.37389°", + "FINAL ANSWER: 45.015560, 78.373890" + ] + }, + { + "task": "format_conversion", + "location_name": "Itaquera", + "source_format": "DMS", + "source_string": "23°31'55.0\"S, 46°26'39.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-23.531940, -46.444170", + "latitude": -23.53194, + "longitude": -46.44417 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 23°31'55.0\"S, 46°26'39.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -23.53194°", + "Step 4: Calculate longitude", + " Longitude: -46.44417°", + "FINAL ANSWER: -23.531940, -46.444170" + ] + }, + { + "task": "format_conversion", + "location_name": "Monterey", + "source_format": "DMS", + "source_string": "36°36'0.9\"N, 121°53'40.8\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "36.600240, -121.894680", + "latitude": 36.60024, + "longitude": -121.89468 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 36°36'0.9\"N, 121°53'40.8\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 36.60024°", + "Step 4: Calculate longitude", + " Longitude: -121.89468°", + "FINAL ANSWER: 36.600240, -121.894680" + ] + }, + { + "task": "format_conversion", + "location_name": "Cikupa", + "source_format": "DMS", + "source_string": "6°14'11.0\"S, 106°30'30.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-6.236390, 106.508330", + "latitude": -6.23639, + "longitude": 106.50833 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 6°14'11.0\"S, 106°30'30.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -6.23639°", + "Step 4: Calculate longitude", + " Longitude: 106.50833°", + "FINAL ANSWER: -6.236390, 106.508330" + ] + }, + { + "task": "format_conversion", + "location_name": "Mahārāganj", + "source_format": "decimal_degrees", + "source_string": "27.144560, 83.562140", + "target_format": "DMS", + "ground_truth": { + "target_string": "27°8'40.4\"N, 83°33'43.7\"E", + "latitude": 27.14456, + "longitude": 83.56214 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 27.144560, 83.562140", + " Latitude: 27.14456°", + " Longitude: 83.56214°", + "Step 2: Convert latitude to DMS", + " Degrees = 27", + " Minutes = int((27.144560 - 27) × 60) = 8", + " Seconds = ((27.144560 - 27) × 60 - 8) × 60 = 40.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 83", + " Minutes = 33", + " Seconds = 43.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 27°8'40.4\"N, 83°33'43.7\"E", + "FINAL ANSWER: 27°8'40.4\"N, 83°33'43.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Yabuki", + "source_format": "DMS", + "source_string": "37°12'0.0\"N, 140°19'0.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "37.200000, 140.316670", + "latitude": 37.2, + "longitude": 140.31667 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 37°12'0.0\"N, 140°19'0.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 37.2°", + "Step 4: Calculate longitude", + " Longitude: 140.31667°", + "FINAL ANSWER: 37.200000, 140.316670" + ] + }, + { + "task": "format_conversion", + "location_name": "Francavilla Fontana", + "source_format": "DMS", + "source_string": "40°31'52.4\"N, 17°35'6.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.531230, 17.585220", + "latitude": 40.53123, + "longitude": 17.58522 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°31'52.4\"N, 17°35'6.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 40.53123°", + "Step 4: Calculate longitude", + " Longitude: 17.58522°", + "FINAL ANSWER: 40.531230, 17.585220" + ] + }, + { + "task": "format_conversion", + "location_name": "Presnenskiy", + "source_format": "DMS", + "source_string": "55°45'0.0\"N, 37°32'60.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "55.750000, 37.550000", + "latitude": 55.75, + "longitude": 37.55 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 55°45'0.0\"N, 37°32'60.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 55.75°", + "Step 4: Calculate longitude", + " Longitude: 37.55°", + "FINAL ANSWER: 55.750000, 37.550000" + ] + }, + { + "task": "format_conversion", + "location_name": "Martaban", + "source_format": "DMS", + "source_string": "16°31'42.0\"N, 97°36'56.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "16.528340, 97.615700", + "latitude": 16.52834, + "longitude": 97.6157 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 16°31'42.0\"N, 97°36'56.5\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 16.52834°", + "Step 4: Calculate longitude", + " Longitude: 97.6157°", + "FINAL ANSWER: 16.528340, 97.615700" + ] + }, + { + "task": "format_conversion", + "location_name": "Penn Hills", + "source_format": "DMS", + "source_string": "40°30'4.2\"N, 79°50'21.2\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.501180, -79.839220", + "latitude": 40.50118, + "longitude": -79.83922 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°30'4.2\"N, 79°50'21.2\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 40.50118°", + "Step 4: Calculate longitude", + " Longitude: -79.83922°", + "FINAL ANSWER: 40.501180, -79.839220" + ] + }, + { + "task": "format_conversion", + "location_name": "Águas Belas", + "source_format": "DMS", + "source_string": "9°6'41.0\"S, 37°7'23.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-9.111390, -37.123060", + "latitude": -9.11139, + "longitude": -37.12306 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 9°6'41.0\"S, 37°7'23.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -9.11139°", + "Step 4: Calculate longitude", + " Longitude: -37.12306°", + "FINAL ANSWER: -9.111390, -37.123060" + ] + }, + { + "task": "format_conversion", + "location_name": "Aluche", + "source_format": "DMS", + "source_string": "40°23'30.9\"N, 3°45'24.1\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.391910, -3.756690", + "latitude": 40.39191, + "longitude": -3.75669 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°23'30.9\"N, 3°45'24.1\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 40.39191°", + "Step 4: Calculate longitude", + " Longitude: -3.75669°", + "FINAL ANSWER: 40.391910, -3.756690" + ] + }, + { + "task": "format_conversion", + "location_name": "Belém", + "source_format": "DMS", + "source_string": "38°41'55.5\"N, 9°11'34.4\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "38.698750, -9.192890", + "latitude": 38.69875, + "longitude": -9.19289 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 38°41'55.5\"N, 9°11'34.4\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 38.69875°", + "Step 4: Calculate longitude", + " Longitude: -9.19289°", + "FINAL ANSWER: 38.698750, -9.192890" + ] + }, + { + "task": "format_conversion", + "location_name": "Vandœuvre-lès-Nancy", + "source_format": "decimal_degrees", + "source_string": "48.661150, 6.171140", + "target_format": "DMS", + "ground_truth": { + "target_string": "48°39'40.1\"N, 6°10'16.1\"E", + "latitude": 48.66115, + "longitude": 6.17114 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 48.661150, 6.171140", + " Latitude: 48.66115°", + " Longitude: 6.17114°", + "Step 2: Convert latitude to DMS", + " Degrees = 48", + " Minutes = int((48.661150 - 48) × 60) = 39", + " Seconds = ((48.661150 - 48) × 60 - 39) × 60 = 40.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 6", + " Minutes = 10", + " Seconds = 16.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 48°39'40.1\"N, 6°10'16.1\"E", + "FINAL ANSWER: 48°39'40.1\"N, 6°10'16.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Djugu", + "source_format": "DMS", + "source_string": "1°55'9.6\"N, 30°30'9.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "1.919320, 30.502570", + "latitude": 1.91932, + "longitude": 30.50257 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 1°55'9.6\"N, 30°30'9.3\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 1.91932°", + "Step 4: Calculate longitude", + " Longitude: 30.50257°", + "FINAL ANSWER: 1.919320, 30.502570" + ] + }, + { + "task": "format_conversion", + "location_name": "Vilappil", + "source_format": "decimal_degrees", + "source_string": "8.522180, 77.040010", + "target_format": "DMS", + "ground_truth": { + "target_string": "8°31'19.8\"N, 77°2'24.0\"E", + "latitude": 8.52218, + "longitude": 77.04001 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 8.522180, 77.040010", + " Latitude: 8.52218°", + " Longitude: 77.04001°", + "Step 2: Convert latitude to DMS", + " Degrees = 8", + " Minutes = int((8.522180 - 8) × 60) = 31", + " Seconds = ((8.522180 - 8) × 60 - 31) × 60 = 19.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 77", + " Minutes = 2", + " Seconds = 24.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 8°31'19.8\"N, 77°2'24.0\"E", + "FINAL ANSWER: 8°31'19.8\"N, 77°2'24.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Atwater Village", + "source_format": "DMS", + "source_string": "34°6'59.0\"N, 118°15'23.3\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "34.116400, -118.256460", + "latitude": 34.1164, + "longitude": -118.25646 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 34°6'59.0\"N, 118°15'23.3\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 34.1164°", + "Step 4: Calculate longitude", + " Longitude: -118.25646°", + "FINAL ANSWER: 34.116400, -118.256460" + ] + }, + { + "task": "format_conversion", + "location_name": "Ogoudou", + "source_format": "decimal_degrees", + "source_string": "5.896740, -5.157920", + "target_format": "DMS", + "ground_truth": { + "target_string": "5°53'48.3\"N, 5°9'28.5\"W", + "latitude": 5.89674, + "longitude": -5.15792 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 5.896740, -5.157920", + " Latitude: 5.89674°", + " Longitude: -5.15792°", + "Step 2: Convert latitude to DMS", + " Degrees = 5", + " Minutes = int((5.896740 - 5) × 60) = 53", + " Seconds = ((5.896740 - 5) × 60 - 53) × 60 = 48.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 5", + " Minutes = 9", + " Seconds = 28.5", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 5°53'48.3\"N, 5°9'28.5\"W", + "FINAL ANSWER: 5°53'48.3\"N, 5°9'28.5\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Kerkera", + "source_format": "DMS", + "source_string": "36°55'45.0\"N, 6°35'8.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "36.929170, 6.585560", + "latitude": 36.92917, + "longitude": 6.58556 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 36°55'45.0\"N, 6°35'8.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 36.92917°", + "Step 4: Calculate longitude", + " Longitude: 6.58556°", + "FINAL ANSWER: 36.929170, 6.585560" + ] + }, + { + "task": "format_conversion", + "location_name": "Bandar", + "source_format": "decimal_degrees", + "source_string": "2.050000, 99.750000", + "target_format": "DMS", + "ground_truth": { + "target_string": "2°2'60.0\"N, 99°45'0.0\"E", + "latitude": 2.05, + "longitude": 99.75 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 2.050000, 99.750000", + " Latitude: 2.05°", + " Longitude: 99.75°", + "Step 2: Convert latitude to DMS", + " Degrees = 2", + " Minutes = int((2.050000 - 2) × 60) = 2", + " Seconds = ((2.050000 - 2) × 60 - 2) × 60 = 60.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 99", + " Minutes = 45", + " Seconds = 0.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 2°2'60.0\"N, 99°45'0.0\"E", + "FINAL ANSWER: 2°2'60.0\"N, 99°45'0.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Puerto Berrío", + "source_format": "DMS", + "source_string": "6°29'29.6\"N, 74°24'11.7\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "6.491560, -74.403260", + "latitude": 6.49156, + "longitude": -74.40326 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 6°29'29.6\"N, 74°24'11.7\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 6.49156°", + "Step 4: Calculate longitude", + " Longitude: -74.40326°", + "FINAL ANSWER: 6.491560, -74.403260" + ] + }, + { + "task": "format_conversion", + "location_name": "Caniço", + "source_format": "decimal_degrees", + "source_string": "32.650780, -16.837490", + "target_format": "DMS", + "ground_truth": { + "target_string": "32°39'2.8\"N, 16°50'15.0\"W", + "latitude": 32.65078, + "longitude": -16.83749 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 32.650780, -16.837490", + " Latitude: 32.65078°", + " Longitude: -16.83749°", + "Step 2: Convert latitude to DMS", + " Degrees = 32", + " Minutes = int((32.650780 - 32) × 60) = 39", + " Seconds = ((32.650780 - 32) × 60 - 39) × 60 = 2.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 16", + " Minutes = 50", + " Seconds = 15.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 32°39'2.8\"N, 16°50'15.0\"W", + "FINAL ANSWER: 32°39'2.8\"N, 16°50'15.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Kenitra", + "source_format": "DMS", + "source_string": "34°15'39.6\"N, 6°34'48.7\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "34.261010, -6.580200", + "latitude": 34.26101, + "longitude": -6.5802 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 34°15'39.6\"N, 6°34'48.7\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 34.26101°", + "Step 4: Calculate longitude", + " Longitude: -6.5802°", + "FINAL ANSWER: 34.261010, -6.580200" + ] + }, + { + "task": "format_conversion", + "location_name": "Philadelphia", + "source_format": "decimal_degrees", + "source_string": "39.952380, -75.163620", + "target_format": "DMS", + "ground_truth": { + "target_string": "39°57'8.6\"N, 75°9'49.0\"W", + "latitude": 39.95238, + "longitude": -75.16362 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 39.952380, -75.163620", + " Latitude: 39.95238°", + " Longitude: -75.16362°", + "Step 2: Convert latitude to DMS", + " Degrees = 39", + " Minutes = int((39.952380 - 39) × 60) = 57", + " Seconds = ((39.952380 - 39) × 60 - 57) × 60 = 8.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 75", + " Minutes = 9", + " Seconds = 49.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 39°57'8.6\"N, 75°9'49.0\"W", + "FINAL ANSWER: 39°57'8.6\"N, 75°9'49.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Prague", + "source_format": "decimal_degrees", + "source_string": "50.088040, 14.420760", + "target_format": "DMS", + "ground_truth": { + "target_string": "50°5'16.9\"N, 14°25'14.7\"E", + "latitude": 50.08804, + "longitude": 14.42076 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 50.088040, 14.420760", + " Latitude: 50.08804°", + " Longitude: 14.42076°", + "Step 2: Convert latitude to DMS", + " Degrees = 50", + " Minutes = int((50.088040 - 50) × 60) = 5", + " Seconds = ((50.088040 - 50) × 60 - 5) × 60 = 16.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 14", + " Minutes = 25", + " Seconds = 14.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 50°5'16.9\"N, 14°25'14.7\"E", + "FINAL ANSWER: 50°5'16.9\"N, 14°25'14.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Missérété", + "source_format": "decimal_degrees", + "source_string": "6.558720, 2.590630", + "target_format": "DMS", + "ground_truth": { + "target_string": "6°33'31.4\"N, 2°35'26.3\"E", + "latitude": 6.55872, + "longitude": 2.59063 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 6.558720, 2.590630", + " Latitude: 6.55872°", + " Longitude: 2.59063°", + "Step 2: Convert latitude to DMS", + " Degrees = 6", + " Minutes = int((6.558720 - 6) × 60) = 33", + " Seconds = ((6.558720 - 6) × 60 - 33) × 60 = 31.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 2", + " Minutes = 35", + " Seconds = 26.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 6°33'31.4\"N, 2°35'26.3\"E", + "FINAL ANSWER: 6°33'31.4\"N, 2°35'26.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Baswa", + "source_format": "decimal_degrees", + "source_string": "27.149550, 76.583450", + "target_format": "DMS", + "ground_truth": { + "target_string": "27°8'58.4\"N, 76°35'0.4\"E", + "latitude": 27.14955, + "longitude": 76.58345 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 27.149550, 76.583450", + " Latitude: 27.14955°", + " Longitude: 76.58345°", + "Step 2: Convert latitude to DMS", + " Degrees = 27", + " Minutes = int((27.149550 - 27) × 60) = 8", + " Seconds = ((27.149550 - 27) × 60 - 8) × 60 = 58.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 76", + " Minutes = 35", + " Seconds = 0.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 27°8'58.4\"N, 76°35'0.4\"E", + "FINAL ANSWER: 27°8'58.4\"N, 76°35'0.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Poughkeepsie", + "source_format": "DMS", + "source_string": "41°42'1.3\"N, 73°55'15.5\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "41.700370, -73.920970", + "latitude": 41.70037, + "longitude": -73.92097 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 41°42'1.3\"N, 73°55'15.5\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 41.70037°", + "Step 4: Calculate longitude", + " Longitude: -73.92097°", + "FINAL ANSWER: 41.700370, -73.920970" + ] + }, + { + "task": "format_conversion", + "location_name": "Grand Rapids", + "source_format": "decimal_degrees", + "source_string": "42.963360, -85.668090", + "target_format": "DMS", + "ground_truth": { + "target_string": "42°57'48.1\"N, 85°40'5.1\"W", + "latitude": 42.96336, + "longitude": -85.66809 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 42.963360, -85.668090", + " Latitude: 42.96336°", + " Longitude: -85.66809°", + "Step 2: Convert latitude to DMS", + " Degrees = 42", + " Minutes = int((42.963360 - 42) × 60) = 57", + " Seconds = ((42.963360 - 42) × 60 - 57) × 60 = 48.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 85", + " Minutes = 40", + " Seconds = 5.1", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 42°57'48.1\"N, 85°40'5.1\"W", + "FINAL ANSWER: 42°57'48.1\"N, 85°40'5.1\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Amahai", + "source_format": "DMS", + "source_string": "3°20'23.4\"S, 128°55'11.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-3.339840, 128.919750", + "latitude": -3.33984, + "longitude": 128.91975 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 3°20'23.4\"S, 128°55'11.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -3.33984°", + "Step 4: Calculate longitude", + " Longitude: 128.91975°", + "FINAL ANSWER: -3.339840, 128.919750" + ] + }, + { + "task": "format_conversion", + "location_name": "Amami", + "source_format": "decimal_degrees", + "source_string": "28.376900, 129.493790", + "target_format": "DMS", + "ground_truth": { + "target_string": "28°22'36.8\"N, 129°29'37.6\"E", + "latitude": 28.3769, + "longitude": 129.49379 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 28.376900, 129.493790", + " Latitude: 28.3769°", + " Longitude: 129.49379°", + "Step 2: Convert latitude to DMS", + " Degrees = 28", + " Minutes = int((28.376900 - 28) × 60) = 22", + " Seconds = ((28.376900 - 28) × 60 - 22) × 60 = 36.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 129", + " Minutes = 29", + " Seconds = 37.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 28°22'36.8\"N, 129°29'37.6\"E", + "FINAL ANSWER: 28°22'36.8\"N, 129°29'37.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Agios Dimitrios", + "source_format": "DMS", + "source_string": "37°55'60.0\"N, 23°43'60.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "37.933330, 23.733330", + "latitude": 37.93333, + "longitude": 23.73333 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 37°55'60.0\"N, 23°43'60.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 37.93333°", + "Step 4: Calculate longitude", + " Longitude: 23.73333°", + "FINAL ANSWER: 37.933330, 23.733330" + ] + }, + { + "task": "format_conversion", + "location_name": "San Luis", + "source_format": "DMS", + "source_string": "15°2'24.4\"N, 120°47'17.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "15.040100, 120.788300", + "latitude": 15.0401, + "longitude": 120.7883 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 15°2'24.4\"N, 120°47'17.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 15.0401°", + "Step 4: Calculate longitude", + " Longitude: 120.7883°", + "FINAL ANSWER: 15.040100, 120.788300" + ] + }, + { + "task": "format_conversion", + "location_name": "Manikchari", + "source_format": "DMS", + "source_string": "22°50'22.5\"N, 91°50'28.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "22.839570, 91.841280", + "latitude": 22.83957, + "longitude": 91.84128 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 22°50'22.5\"N, 91°50'28.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 22.83957°", + "Step 4: Calculate longitude", + " Longitude: 91.84128°", + "FINAL ANSWER: 22.839570, 91.841280" + ] + }, + { + "task": "format_conversion", + "location_name": "Gimbi", + "source_format": "decimal_degrees", + "source_string": "9.170310, 35.834910", + "target_format": "DMS", + "ground_truth": { + "target_string": "9°10'13.1\"N, 35°50'5.7\"E", + "latitude": 9.17031, + "longitude": 35.83491 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 9.170310, 35.834910", + " Latitude: 9.17031°", + " Longitude: 35.83491°", + "Step 2: Convert latitude to DMS", + " Degrees = 9", + " Minutes = int((9.170310 - 9) × 60) = 10", + " Seconds = ((9.170310 - 9) × 60 - 10) × 60 = 13.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 35", + " Minutes = 50", + " Seconds = 5.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 9°10'13.1\"N, 35°50'5.7\"E", + "FINAL ANSWER: 9°10'13.1\"N, 35°50'5.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Amakusa", + "source_format": "decimal_degrees", + "source_string": "32.458610, 130.193060", + "target_format": "DMS", + "ground_truth": { + "target_string": "32°27'31.0\"N, 130°11'35.0\"E", + "latitude": 32.45861, + "longitude": 130.19306 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 32.458610, 130.193060", + " Latitude: 32.45861°", + " Longitude: 130.19306°", + "Step 2: Convert latitude to DMS", + " Degrees = 32", + " Minutes = int((32.458610 - 32) × 60) = 27", + " Seconds = ((32.458610 - 32) × 60 - 27) × 60 = 31.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 130", + " Minutes = 11", + " Seconds = 35.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 32°27'31.0\"N, 130°11'35.0\"E", + "FINAL ANSWER: 32°27'31.0\"N, 130°11'35.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Al Miqdādīyah", + "source_format": "DMS", + "source_string": "33°58'43.0\"N, 44°56'13.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "33.978610, 44.936940", + "latitude": 33.97861, + "longitude": 44.93694 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 33°58'43.0\"N, 44°56'13.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 33.97861°", + "Step 4: Calculate longitude", + " Longitude: 44.93694°", + "FINAL ANSWER: 33.978610, 44.936940" + ] + }, + { + "task": "format_conversion", + "location_name": "Macaúbas", + "source_format": "decimal_degrees", + "source_string": "-13.019440, -42.698610", + "target_format": "DMS", + "ground_truth": { + "target_string": "13°1'10.0\"S, 42°41'55.0\"W", + "latitude": -13.01944, + "longitude": -42.69861 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -13.019440, -42.698610", + " Latitude: -13.01944°", + " Longitude: -42.69861°", + "Step 2: Convert latitude to DMS", + " Degrees = 13", + " Minutes = int((13.019440 - 13) × 60) = 1", + " Seconds = ((13.019440 - 13) × 60 - 1) × 60 = 10.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 42", + " Minutes = 41", + " Seconds = 55.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 13°1'10.0\"S, 42°41'55.0\"W", + "FINAL ANSWER: 13°1'10.0\"S, 42°41'55.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Polyarnyye Zori", + "source_format": "decimal_degrees", + "source_string": "67.366110, 32.498060", + "target_format": "DMS", + "ground_truth": { + "target_string": "67°21'58.0\"N, 32°29'53.0\"E", + "latitude": 67.36611, + "longitude": 32.49806 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 67.366110, 32.498060", + " Latitude: 67.36611°", + " Longitude: 32.49806°", + "Step 2: Convert latitude to DMS", + " Degrees = 67", + " Minutes = int((67.366110 - 67) × 60) = 21", + " Seconds = ((67.366110 - 67) × 60 - 21) × 60 = 58.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 32", + " Minutes = 29", + " Seconds = 53.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 67°21'58.0\"N, 32°29'53.0\"E", + "FINAL ANSWER: 67°21'58.0\"N, 32°29'53.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Tebesbest", + "source_format": "decimal_degrees", + "source_string": "33.116670, 6.083330", + "target_format": "DMS", + "ground_truth": { + "target_string": "33°7'0.0\"N, 6°4'60.0\"E", + "latitude": 33.11667, + "longitude": 6.08333 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 33.116670, 6.083330", + " Latitude: 33.11667°", + " Longitude: 6.08333°", + "Step 2: Convert latitude to DMS", + " Degrees = 33", + " Minutes = int((33.116670 - 33) × 60) = 7", + " Seconds = ((33.116670 - 33) × 60 - 7) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 6", + " Minutes = 4", + " Seconds = 60.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 33°7'0.0\"N, 6°4'60.0\"E", + "FINAL ANSWER: 33°7'0.0\"N, 6°4'60.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Aoulef", + "source_format": "DMS", + "source_string": "26°58'0.0\"N, 1°4'60.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "26.966670, 1.083330", + "latitude": 26.96667, + "longitude": 1.08333 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 26°58'0.0\"N, 1°4'60.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 26.96667°", + "Step 4: Calculate longitude", + " Longitude: 1.08333°", + "FINAL ANSWER: 26.966670, 1.083330" + ] + }, + { + "task": "format_conversion", + "location_name": "Pattan", + "source_format": "DMS", + "source_string": "34°9'40.5\"N, 74°33'22.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "34.161250, 74.556340", + "latitude": 34.16125, + "longitude": 74.55634 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 34°9'40.5\"N, 74°33'22.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 34.16125°", + "Step 4: Calculate longitude", + " Longitude: 74.55634°", + "FINAL ANSWER: 34.161250, 74.556340" + ] + }, + { + "task": "format_conversion", + "location_name": "Tagawa", + "source_format": "DMS", + "source_string": "33°37'60.0\"N, 130°48'0.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "33.633330, 130.800000", + "latitude": 33.63333, + "longitude": 130.8 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 33°37'60.0\"N, 130°48'0.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 33.63333°", + "Step 4: Calculate longitude", + " Longitude: 130.8°", + "FINAL ANSWER: 33.633330, 130.800000" + ] + }, + { + "task": "format_conversion", + "location_name": "Chiquinquirá", + "source_format": "decimal_degrees", + "source_string": "10.443330, -71.647220", + "target_format": "DMS", + "ground_truth": { + "target_string": "10°26'36.0\"N, 71°38'50.0\"W", + "latitude": 10.44333, + "longitude": -71.64722 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 10.443330, -71.647220", + " Latitude: 10.44333°", + " Longitude: -71.64722°", + "Step 2: Convert latitude to DMS", + " Degrees = 10", + " Minutes = int((10.443330 - 10) × 60) = 26", + " Seconds = ((10.443330 - 10) × 60 - 26) × 60 = 36.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 71", + " Minutes = 38", + " Seconds = 50.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 10°26'36.0\"N, 71°38'50.0\"W", + "FINAL ANSWER: 10°26'36.0\"N, 71°38'50.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Gulfport", + "source_format": "decimal_degrees", + "source_string": "30.367420, -89.092820", + "target_format": "DMS", + "ground_truth": { + "target_string": "30°22'2.7\"N, 89°5'34.2\"W", + "latitude": 30.36742, + "longitude": -89.09282 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 30.367420, -89.092820", + " Latitude: 30.36742°", + " Longitude: -89.09282°", + "Step 2: Convert latitude to DMS", + " Degrees = 30", + " Minutes = int((30.367420 - 30) × 60) = 22", + " Seconds = ((30.367420 - 30) × 60 - 22) × 60 = 2.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 89", + " Minutes = 5", + " Seconds = 34.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 30°22'2.7\"N, 89°5'34.2\"W", + "FINAL ANSWER: 30°22'2.7\"N, 89°5'34.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "San Mateo Atenco", + "source_format": "decimal_degrees", + "source_string": "19.267570, -99.532140", + "target_format": "DMS", + "ground_truth": { + "target_string": "19°16'3.3\"N, 99°31'55.7\"W", + "latitude": 19.26757, + "longitude": -99.53214 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 19.267570, -99.532140", + " Latitude: 19.26757°", + " Longitude: -99.53214°", + "Step 2: Convert latitude to DMS", + " Degrees = 19", + " Minutes = int((19.267570 - 19) × 60) = 16", + " Seconds = ((19.267570 - 19) × 60 - 16) × 60 = 3.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 99", + " Minutes = 31", + " Seconds = 55.7", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 19°16'3.3\"N, 99°31'55.7\"W", + "FINAL ANSWER: 19°16'3.3\"N, 99°31'55.7\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Feriana", + "source_format": "DMS", + "source_string": "34°56'43.0\"N, 8°34'4.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "34.945290, 8.567890", + "latitude": 34.94529, + "longitude": 8.56789 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 34°56'43.0\"N, 8°34'4.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 34.94529°", + "Step 4: Calculate longitude", + " Longitude: 8.56789°", + "FINAL ANSWER: 34.945290, 8.567890" + ] + }, + { + "task": "format_conversion", + "location_name": "Shenliu", + "source_format": "decimal_degrees", + "source_string": "29.413690, 112.164350", + "target_format": "DMS", + "ground_truth": { + "target_string": "29°24'49.3\"N, 112°9'51.7\"E", + "latitude": 29.41369, + "longitude": 112.16435 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 29.413690, 112.164350", + " Latitude: 29.41369°", + " Longitude: 112.16435°", + "Step 2: Convert latitude to DMS", + " Degrees = 29", + " Minutes = int((29.413690 - 29) × 60) = 24", + " Seconds = ((29.413690 - 29) × 60 - 24) × 60 = 49.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 112", + " Minutes = 9", + " Seconds = 51.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 29°24'49.3\"N, 112°9'51.7\"E", + "FINAL ANSWER: 29°24'49.3\"N, 112°9'51.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Burayu", + "source_format": "decimal_degrees", + "source_string": "9.035280, 38.660830", + "target_format": "DMS", + "ground_truth": { + "target_string": "9°2'7.0\"N, 38°39'39.0\"E", + "latitude": 9.03528, + "longitude": 38.66083 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 9.035280, 38.660830", + " Latitude: 9.03528°", + " Longitude: 38.66083°", + "Step 2: Convert latitude to DMS", + " Degrees = 9", + " Minutes = int((9.035280 - 9) × 60) = 2", + " Seconds = ((9.035280 - 9) × 60 - 2) × 60 = 7.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 38", + " Minutes = 39", + " Seconds = 39.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 9°2'7.0\"N, 38°39'39.0\"E", + "FINAL ANSWER: 9°2'7.0\"N, 38°39'39.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Greater Sudbury", + "source_format": "DMS", + "source_string": "46°29'24.0\"N, 80°59'24.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "46.490000, -80.990010", + "latitude": 46.49, + "longitude": -80.99001 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 46°29'24.0\"N, 80°59'24.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 46.49°", + "Step 4: Calculate longitude", + " Longitude: -80.99001°", + "FINAL ANSWER: 46.490000, -80.990010" + ] + }, + { + "task": "format_conversion", + "location_name": "Vengola Kizhakkumbāgam", + "source_format": "decimal_degrees", + "source_string": "10.063740, 76.476060", + "target_format": "DMS", + "ground_truth": { + "target_string": "10°3'49.5\"N, 76°28'33.8\"E", + "latitude": 10.06374, + "longitude": 76.47606 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 10.063740, 76.476060", + " Latitude: 10.06374°", + " Longitude: 76.47606°", + "Step 2: Convert latitude to DMS", + " Degrees = 10", + " Minutes = int((10.063740 - 10) × 60) = 3", + " Seconds = ((10.063740 - 10) × 60 - 3) × 60 = 49.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 76", + " Minutes = 28", + " Seconds = 33.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 10°3'49.5\"N, 76°28'33.8\"E", + "FINAL ANSWER: 10°3'49.5\"N, 76°28'33.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Bekwai", + "source_format": "decimal_degrees", + "source_string": "6.451950, -1.578660", + "target_format": "DMS", + "ground_truth": { + "target_string": "6°27'7.0\"N, 1°34'43.2\"W", + "latitude": 6.45195, + "longitude": -1.57866 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 6.451950, -1.578660", + " Latitude: 6.45195°", + " Longitude: -1.57866°", + "Step 2: Convert latitude to DMS", + " Degrees = 6", + " Minutes = int((6.451950 - 6) × 60) = 27", + " Seconds = ((6.451950 - 6) × 60 - 27) × 60 = 7.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 1", + " Minutes = 34", + " Seconds = 43.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 6°27'7.0\"N, 1°34'43.2\"W", + "FINAL ANSWER: 6°27'7.0\"N, 1°34'43.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Pivdenne", + "source_format": "DMS", + "source_string": "46°37'29.0\"N, 31°6'6.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "46.624720, 31.101820", + "latitude": 46.62472, + "longitude": 31.10182 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 46°37'29.0\"N, 31°6'6.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 46.62472°", + "Step 4: Calculate longitude", + " Longitude: 31.10182°", + "FINAL ANSWER: 46.624720, 31.101820" + ] + }, + { + "task": "format_conversion", + "location_name": "Sant Adrià de Besòs", + "source_format": "DMS", + "source_string": "41°25'50.6\"N, 2°13'6.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "41.430730, 2.218550", + "latitude": 41.43073, + "longitude": 2.21855 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 41°25'50.6\"N, 2°13'6.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 41.43073°", + "Step 4: Calculate longitude", + " Longitude: 2.21855°", + "FINAL ANSWER: 41.430730, 2.218550" + ] + }, + { + "task": "format_conversion", + "location_name": "Kuantan", + "source_format": "DMS", + "source_string": "3°48'27.7\"N, 103°19'33.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "3.807700, 103.326000", + "latitude": 3.8077, + "longitude": 103.326 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 3°48'27.7\"N, 103°19'33.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 3.8077°", + "Step 4: Calculate longitude", + " Longitude: 103.326°", + "FINAL ANSWER: 3.807700, 103.326000" + ] + }, + { + "task": "format_conversion", + "location_name": "Karumattampatti", + "source_format": "decimal_degrees", + "source_string": "11.109330, 77.182000", + "target_format": "DMS", + "ground_truth": { + "target_string": "11°6'33.6\"N, 77°10'55.2\"E", + "latitude": 11.10933, + "longitude": 77.182 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 11.109330, 77.182000", + " Latitude: 11.10933°", + " Longitude: 77.182°", + "Step 2: Convert latitude to DMS", + " Degrees = 11", + " Minutes = int((11.109330 - 11) × 60) = 6", + " Seconds = ((11.109330 - 11) × 60 - 6) × 60 = 33.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 77", + " Minutes = 10", + " Seconds = 55.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 11°6'33.6\"N, 77°10'55.2\"E", + "FINAL ANSWER: 11°6'33.6\"N, 77°10'55.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Shahr-e Qods", + "source_format": "DMS", + "source_string": "35°43'17.0\"N, 51°6'32.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "35.721400, 51.109000", + "latitude": 35.7214, + "longitude": 51.109 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 35°43'17.0\"N, 51°6'32.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 35.7214°", + "Step 4: Calculate longitude", + " Longitude: 51.109°", + "FINAL ANSWER: 35.721400, 51.109000" + ] + }, + { + "task": "format_conversion", + "location_name": "Ấp Bình Châu", + "source_format": "decimal_degrees", + "source_string": "10.550000, 107.550000", + "target_format": "DMS", + "ground_truth": { + "target_string": "10°33'0.0\"N, 107°32'60.0\"E", + "latitude": 10.55, + "longitude": 107.55 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 10.550000, 107.550000", + " Latitude: 10.55°", + " Longitude: 107.55°", + "Step 2: Convert latitude to DMS", + " Degrees = 10", + " Minutes = int((10.550000 - 10) × 60) = 33", + " Seconds = ((10.550000 - 10) × 60 - 33) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 107", + " Minutes = 32", + " Seconds = 60.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 10°33'0.0\"N, 107°32'60.0\"E", + "FINAL ANSWER: 10°33'0.0\"N, 107°32'60.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Shelbyville", + "source_format": "decimal_degrees", + "source_string": "38.212010, -85.223570", + "target_format": "DMS", + "ground_truth": { + "target_string": "38°12'43.2\"N, 85°13'24.9\"W", + "latitude": 38.21201, + "longitude": -85.22357 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 38.212010, -85.223570", + " Latitude: 38.21201°", + " Longitude: -85.22357°", + "Step 2: Convert latitude to DMS", + " Degrees = 38", + " Minutes = int((38.212010 - 38) × 60) = 12", + " Seconds = ((38.212010 - 38) × 60 - 12) × 60 = 43.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 85", + " Minutes = 13", + " Seconds = 24.9", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 38°12'43.2\"N, 85°13'24.9\"W", + "FINAL ANSWER: 38°12'43.2\"N, 85°13'24.9\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "IJsselstein", + "source_format": "DMS", + "source_string": "52°1'12.0\"N, 5°2'35.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "52.020000, 5.043060", + "latitude": 52.02, + "longitude": 5.04306 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 52°1'12.0\"N, 5°2'35.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 52.02°", + "Step 4: Calculate longitude", + " Longitude: 5.04306°", + "FINAL ANSWER: 52.020000, 5.043060" + ] + }, + { + "task": "format_conversion", + "location_name": "University Park", + "source_format": "DMS", + "source_string": "32°51'0.5\"N, 96°48'1.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "32.850130, -96.800280", + "latitude": 32.85013, + "longitude": -96.80028 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 32°51'0.5\"N, 96°48'1.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 32.85013°", + "Step 4: Calculate longitude", + " Longitude: -96.80028°", + "FINAL ANSWER: 32.850130, -96.800280" + ] + }, + { + "task": "format_conversion", + "location_name": "Agen", + "source_format": "decimal_degrees", + "source_string": "44.201990, 0.620550", + "target_format": "DMS", + "ground_truth": { + "target_string": "44°12'7.2\"N, 0°37'14.0\"E", + "latitude": 44.20199, + "longitude": 0.62055 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 44.201990, 0.620550", + " Latitude: 44.20199°", + " Longitude: 0.62055°", + "Step 2: Convert latitude to DMS", + " Degrees = 44", + " Minutes = int((44.201990 - 44) × 60) = 12", + " Seconds = ((44.201990 - 44) × 60 - 12) × 60 = 7.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 0", + " Minutes = 37", + " Seconds = 14.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 44°12'7.2\"N, 0°37'14.0\"E", + "FINAL ANSWER: 44°12'7.2\"N, 0°37'14.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "George", + "source_format": "DMS", + "source_string": "33°57'46.8\"S, 22°27'42.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-33.963000, 22.461730", + "latitude": -33.963, + "longitude": 22.46173 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 33°57'46.8\"S, 22°27'42.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -33.963°", + "Step 4: Calculate longitude", + " Longitude: 22.46173°", + "FINAL ANSWER: -33.963000, 22.461730" + ] + }, + { + "task": "format_conversion", + "location_name": "Bandar-e Torkaman", + "source_format": "DMS", + "source_string": "36°54'4.5\"N, 54°4'19.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "36.901240, 54.071950", + "latitude": 36.90124, + "longitude": 54.07195 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 36°54'4.5\"N, 54°4'19.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 36.90124°", + "Step 4: Calculate longitude", + " Longitude: 54.07195°", + "FINAL ANSWER: 36.901240, 54.071950" + ] + }, + { + "task": "format_conversion", + "location_name": "Eglinton East", + "source_format": "DMS", + "source_string": "43°44'21.0\"N, 79°14'44.7\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "43.739170, -79.245760", + "latitude": 43.73917, + "longitude": -79.24576 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 43°44'21.0\"N, 79°14'44.7\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 43.73917°", + "Step 4: Calculate longitude", + " Longitude: -79.24576°", + "FINAL ANSWER: 43.739170, -79.245760" + ] + }, + { + "task": "format_conversion", + "location_name": "Sant Pere de Ribes", + "source_format": "DMS", + "source_string": "41°15'37.6\"N, 1°46'26.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "41.260450, 1.773910", + "latitude": 41.26045, + "longitude": 1.77391 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 41°15'37.6\"N, 1°46'26.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 41.26045°", + "Step 4: Calculate longitude", + " Longitude: 1.77391°", + "FINAL ANSWER: 41.260450, 1.773910" + ] + }, + { + "task": "format_conversion", + "location_name": "Easthampton", + "source_format": "DMS", + "source_string": "42°16'0.3\"N, 72°40'8.3\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "42.266760, -72.668980", + "latitude": 42.26676, + "longitude": -72.66898 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 42°16'0.3\"N, 72°40'8.3\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 42.26676°", + "Step 4: Calculate longitude", + " Longitude: -72.66898°", + "FINAL ANSWER: 42.266760, -72.668980" + ] + }, + { + "task": "format_conversion", + "location_name": "Kinna", + "source_format": "DMS", + "source_string": "57°30'26.2\"N, 12°41'40.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "57.507280, 12.694630", + "latitude": 57.50728, + "longitude": 12.69463 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 57°30'26.2\"N, 12°41'40.7\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 57.50728°", + "Step 4: Calculate longitude", + " Longitude: 12.69463°", + "FINAL ANSWER: 57.507280, 12.694630" + ] + }, + { + "task": "format_conversion", + "location_name": "Achern", + "source_format": "DMS", + "source_string": "48°37'52.1\"N, 8°4'33.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "48.631150, 8.076070", + "latitude": 48.63115, + "longitude": 8.07607 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 48°37'52.1\"N, 8°4'33.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 48.63115°", + "Step 4: Calculate longitude", + " Longitude: 8.07607°", + "FINAL ANSWER: 48.631150, 8.076070" + ] + }, + { + "task": "format_conversion", + "location_name": "Saint-Michel", + "source_format": "DMS", + "source_string": "45°34'3.3\"N, 73°37'18.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "45.567580, -73.621680", + "latitude": 45.56758, + "longitude": -73.62168 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 45°34'3.3\"N, 73°37'18.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 45.56758°", + "Step 4: Calculate longitude", + " Longitude: -73.62168°", + "FINAL ANSWER: 45.567580, -73.621680" + ] + }, + { + "task": "format_conversion", + "location_name": "Peralassery", + "source_format": "decimal_degrees", + "source_string": "11.832230, 75.482520", + "target_format": "DMS", + "ground_truth": { + "target_string": "11°49'56.0\"N, 75°28'57.1\"E", + "latitude": 11.83223, + "longitude": 75.48252 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 11.832230, 75.482520", + " Latitude: 11.83223°", + " Longitude: 75.48252°", + "Step 2: Convert latitude to DMS", + " Degrees = 11", + " Minutes = int((11.832230 - 11) × 60) = 49", + " Seconds = ((11.832230 - 11) × 60 - 49) × 60 = 56.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 75", + " Minutes = 28", + " Seconds = 57.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 11°49'56.0\"N, 75°28'57.1\"E", + "FINAL ANSWER: 11°49'56.0\"N, 75°28'57.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Streatham", + "source_format": "DMS", + "source_string": "51°25'44.3\"N, 0°7'54.6\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "51.428970, -0.131840", + "latitude": 51.42897, + "longitude": -0.13184 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 51°25'44.3\"N, 0°7'54.6\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 51.42897°", + "Step 4: Calculate longitude", + " Longitude: -0.13184°", + "FINAL ANSWER: 51.428970, -0.131840" + ] + }, + { + "task": "format_conversion", + "location_name": "Cutler", + "source_format": "DMS", + "source_string": "25°36'54.4\"N, 80°18'38.2\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "25.615100, -80.310610", + "latitude": 25.6151, + "longitude": -80.31061 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 25°36'54.4\"N, 80°18'38.2\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 25.6151°", + "Step 4: Calculate longitude", + " Longitude: -80.31061°", + "FINAL ANSWER: 25.615100, -80.310610" + ] + }, + { + "task": "format_conversion", + "location_name": "Uruçuca", + "source_format": "decimal_degrees", + "source_string": "-14.593060, -39.284440", + "target_format": "DMS", + "ground_truth": { + "target_string": "14°35'35.0\"S, 39°17'4.0\"W", + "latitude": -14.59306, + "longitude": -39.28444 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -14.593060, -39.284440", + " Latitude: -14.59306°", + " Longitude: -39.28444°", + "Step 2: Convert latitude to DMS", + " Degrees = 14", + " Minutes = int((14.593060 - 14) × 60) = 35", + " Seconds = ((14.593060 - 14) × 60 - 35) × 60 = 35.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 39", + " Minutes = 17", + " Seconds = 4.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 14°35'35.0\"S, 39°17'4.0\"W", + "FINAL ANSWER: 14°35'35.0\"S, 39°17'4.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Pestovo", + "source_format": "DMS", + "source_string": "58°35'37.8\"N, 35°48'8.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "58.593820, 35.802440", + "latitude": 58.59382, + "longitude": 35.80244 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 58°35'37.8\"N, 35°48'8.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 58.59382°", + "Step 4: Calculate longitude", + " Longitude: 35.80244°", + "FINAL ANSWER: 58.593820, 35.802440" + ] + }, + { + "task": "format_conversion", + "location_name": "Itupeva", + "source_format": "DMS", + "source_string": "23°9'11.0\"S, 47°3'28.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-23.153060, -47.057780", + "latitude": -23.15306, + "longitude": -47.05778 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 23°9'11.0\"S, 47°3'28.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -23.15306°", + "Step 4: Calculate longitude", + " Longitude: -47.05778°", + "FINAL ANSWER: -23.153060, -47.057780" + ] + }, + { + "task": "format_conversion", + "location_name": "Cabo San Lucas", + "source_format": "DD", + "source_string": "22.890880, -109.912380", + "target_format": "DMS", + "ground_truth": { + "target_string": "22°53'27.2\"N, 109°54'44.6\"W", + "latitude": 22.89088, + "longitude": -109.91238 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: 22.890880, -109.912380", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 22°53'27.2\"N, 109°54'44.6\"W", + "FINAL ANSWER: 22°53'27.2\"N, 109°54'44.6\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Basi", + "source_format": "DMS", + "source_string": "30°35'17.3\"N, 76°50'41.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "30.588130, 76.844980", + "latitude": 30.58813, + "longitude": 76.84498 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 30°35'17.3\"N, 76°50'41.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 30.58813°", + "Step 4: Calculate longitude", + " Longitude: 76.84498°", + "FINAL ANSWER: 30.588130, 76.844980" + ] + }, + { + "task": "format_conversion", + "location_name": "Nagar", + "source_format": "DMS", + "source_string": "27°25'26.3\"N, 77°5'57.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "27.423970, 77.099220", + "latitude": 27.42397, + "longitude": 77.09922 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 27°25'26.3\"N, 77°5'57.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 27.42397°", + "Step 4: Calculate longitude", + " Longitude: 77.09922°", + "FINAL ANSWER: 27.423970, 77.099220" + ] + }, + { + "task": "format_conversion", + "location_name": "Tarlac City", + "source_format": "decimal_degrees", + "source_string": "15.480170, 120.597940", + "target_format": "DMS", + "ground_truth": { + "target_string": "15°28'48.6\"N, 120°35'52.6\"E", + "latitude": 15.48017, + "longitude": 120.59794 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 15.480170, 120.597940", + " Latitude: 15.48017°", + " Longitude: 120.59794°", + "Step 2: Convert latitude to DMS", + " Degrees = 15", + " Minutes = int((15.480170 - 15) × 60) = 28", + " Seconds = ((15.480170 - 15) × 60 - 28) × 60 = 48.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 120", + " Minutes = 35", + " Seconds = 52.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 15°28'48.6\"N, 120°35'52.6\"E", + "FINAL ANSWER: 15°28'48.6\"N, 120°35'52.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "São Gabriel do Oeste", + "source_format": "DMS", + "source_string": "19°23'43.0\"S, 54°33'59.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-19.395280, -54.566390", + "latitude": -19.39528, + "longitude": -54.56639 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 19°23'43.0\"S, 54°33'59.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -19.39528°", + "Step 4: Calculate longitude", + " Longitude: -54.56639°", + "FINAL ANSWER: -19.395280, -54.566390" + ] + }, + { + "task": "format_conversion", + "location_name": "Ratia", + "source_format": "DD", + "source_string": "29.690290, 75.576880", + "target_format": "DMS", + "ground_truth": { + "target_string": "29°41'25.0\"N, 75°34'36.8\"E", + "latitude": 29.69029, + "longitude": 75.57688 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: 29.690290, 75.576880", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 29°41'25.0\"N, 75°34'36.8\"E", + "FINAL ANSWER: 29°41'25.0\"N, 75°34'36.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Menzel Bourguiba", + "source_format": "decimal_degrees", + "source_string": "37.153680, 9.785940", + "target_format": "DMS", + "ground_truth": { + "target_string": "37°9'13.2\"N, 9°47'9.4\"E", + "latitude": 37.15368, + "longitude": 9.78594 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 37.153680, 9.785940", + " Latitude: 37.15368°", + " Longitude: 9.78594°", + "Step 2: Convert latitude to DMS", + " Degrees = 37", + " Minutes = int((37.153680 - 37) × 60) = 9", + " Seconds = ((37.153680 - 37) × 60 - 9) × 60 = 13.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 9", + " Minutes = 47", + " Seconds = 9.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 37°9'13.2\"N, 9°47'9.4\"E", + "FINAL ANSWER: 37°9'13.2\"N, 9°47'9.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Belvidere", + "source_format": "decimal_degrees", + "source_string": "42.263910, -88.844270", + "target_format": "DMS", + "ground_truth": { + "target_string": "42°15'50.1\"N, 88°50'39.4\"W", + "latitude": 42.26391, + "longitude": -88.84427 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 42.263910, -88.844270", + " Latitude: 42.26391°", + " Longitude: -88.84427°", + "Step 2: Convert latitude to DMS", + " Degrees = 42", + " Minutes = int((42.263910 - 42) × 60) = 15", + " Seconds = ((42.263910 - 42) × 60 - 15) × 60 = 50.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 88", + " Minutes = 50", + " Seconds = 39.4", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 42°15'50.1\"N, 88°50'39.4\"W", + "FINAL ANSWER: 42°15'50.1\"N, 88°50'39.4\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Rustenburg", + "source_format": "DMS", + "source_string": "25°40'3.2\"S, 27°14'31.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-25.667560, 27.242080", + "latitude": -25.66756, + "longitude": 27.24208 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 25°40'3.2\"S, 27°14'31.5\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -25.66756°", + "Step 4: Calculate longitude", + " Longitude: 27.24208°", + "FINAL ANSWER: -25.667560, 27.242080" + ] + }, + { + "task": "format_conversion", + "location_name": "Kansas City", + "source_format": "DMS", + "source_string": "39°5'59.0\"N, 94°34'42.9\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "39.099730, -94.578570", + "latitude": 39.09973, + "longitude": -94.57857 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 39°5'59.0\"N, 94°34'42.9\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 39.09973°", + "Step 4: Calculate longitude", + " Longitude: -94.57857°", + "FINAL ANSWER: 39.099730, -94.578570" + ] + }, + { + "task": "format_conversion", + "location_name": "Vero Beach South", + "source_format": "DD", + "source_string": "27.616380, -80.413080", + "target_format": "DMS", + "ground_truth": { + "target_string": "27°36'59.0\"N, 80°24'47.1\"W", + "latitude": 27.61638, + "longitude": -80.41308 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: 27.616380, -80.413080", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 27°36'59.0\"N, 80°24'47.1\"W", + "FINAL ANSWER: 27°36'59.0\"N, 80°24'47.1\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Huayin", + "source_format": "DMS", + "source_string": "34°33'55.0\"N, 110°3'59.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "34.565280, 110.066390", + "latitude": 34.56528, + "longitude": 110.06639 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 34°33'55.0\"N, 110°3'59.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 34.56528°", + "Step 4: Calculate longitude", + " Longitude: 110.06639°", + "FINAL ANSWER: 34.565280, 110.066390" + ] + }, + { + "task": "format_conversion", + "location_name": "Pasragad Branch", + "source_format": "DMS", + "source_string": "34°46'39.8\"N, 48°28'18.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "34.777720, 48.471680", + "latitude": 34.77772, + "longitude": 48.47168 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 34°46'39.8\"N, 48°28'18.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 34.77772°", + "Step 4: Calculate longitude", + " Longitude: 48.47168°", + "FINAL ANSWER: 34.777720, 48.471680" + ] + }, + { + "task": "format_conversion", + "location_name": "Hanawa", + "source_format": "decimal_degrees", + "source_string": "40.183610, 140.787220", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°11'1.0\"N, 140°47'14.0\"E", + "latitude": 40.18361, + "longitude": 140.78722 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.183610, 140.787220", + " Latitude: 40.18361°", + " Longitude: 140.78722°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.183610 - 40) × 60) = 11", + " Seconds = ((40.183610 - 40) × 60 - 11) × 60 = 1.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 140", + " Minutes = 47", + " Seconds = 14.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 40°11'1.0\"N, 140°47'14.0\"E", + "FINAL ANSWER: 40°11'1.0\"N, 140°47'14.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Alfreton", + "source_format": "DMS", + "source_string": "53°5'51.6\"N, 1°23'1.5\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "53.097660, -1.383760", + "latitude": 53.09766, + "longitude": -1.38376 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 53°5'51.6\"N, 1°23'1.5\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 53.09766°", + "Step 4: Calculate longitude", + " Longitude: -1.38376°", + "FINAL ANSWER: 53.097660, -1.383760" + ] + }, + { + "task": "format_conversion", + "location_name": "Antu", + "source_format": "DMS", + "source_string": "43°6'8.9\"N, 128°54'30.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "43.102470, 128.908480", + "latitude": 43.10247, + "longitude": 128.90848 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 43°6'8.9\"N, 128°54'30.5\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 43.10247°", + "Step 4: Calculate longitude", + " Longitude: 128.90848°", + "FINAL ANSWER: 43.102470, 128.908480" + ] + }, + { + "task": "format_conversion", + "location_name": "Bilbeis", + "source_format": "DMS", + "source_string": "30°25'13.4\"N, 31°33'44.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "30.420390, 31.562230", + "latitude": 30.42039, + "longitude": 31.56223 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 30°25'13.4\"N, 31°33'44.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 30.42039°", + "Step 4: Calculate longitude", + " Longitude: 31.56223°", + "FINAL ANSWER: 30.420390, 31.562230" + ] + }, + { + "task": "format_conversion", + "location_name": "Woodhaven", + "source_format": "decimal_degrees", + "source_string": "40.689270, -73.857910", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°41'21.4\"N, 73°51'28.5\"W", + "latitude": 40.68927, + "longitude": -73.85791 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.689270, -73.857910", + " Latitude: 40.68927°", + " Longitude: -73.85791°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.689270 - 40) × 60) = 41", + " Seconds = ((40.689270 - 40) × 60 - 41) × 60 = 21.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 73", + " Minutes = 51", + " Seconds = 28.5", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 40°41'21.4\"N, 73°51'28.5\"W", + "FINAL ANSWER: 40°41'21.4\"N, 73°51'28.5\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "York", + "source_format": "DMS", + "source_string": "39°57'45.4\"N, 76°43'39.9\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "39.962600, -76.727740", + "latitude": 39.9626, + "longitude": -76.72774 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 39°57'45.4\"N, 76°43'39.9\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 39.9626°", + "Step 4: Calculate longitude", + " Longitude: -76.72774°", + "FINAL ANSWER: 39.962600, -76.727740" + ] + }, + { + "task": "format_conversion", + "location_name": "Baoutifla", + "source_format": "decimal_degrees", + "source_string": "7.234250, -6.474850", + "target_format": "DMS", + "ground_truth": { + "target_string": "7°14'3.3\"N, 6°28'29.5\"W", + "latitude": 7.23425, + "longitude": -6.47485 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 7.234250, -6.474850", + " Latitude: 7.23425°", + " Longitude: -6.47485°", + "Step 2: Convert latitude to DMS", + " Degrees = 7", + " Minutes = int((7.234250 - 7) × 60) = 14", + " Seconds = ((7.234250 - 7) × 60 - 14) × 60 = 3.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 6", + " Minutes = 28", + " Seconds = 29.5", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 7°14'3.3\"N, 6°28'29.5\"W", + "FINAL ANSWER: 7°14'3.3\"N, 6°28'29.5\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Teresópolis", + "source_format": "DMS", + "source_string": "22°25'0.1\"S, 42°58'41.6\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-22.416700, -42.978220", + "latitude": -22.4167, + "longitude": -42.97822 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 22°25'0.1\"S, 42°58'41.6\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -22.4167°", + "Step 4: Calculate longitude", + " Longitude: -42.97822°", + "FINAL ANSWER: -22.416700, -42.978220" + ] + }, + { + "task": "format_conversion", + "location_name": "Songwŏn-ŭp", + "source_format": "decimal_degrees", + "source_string": "40.372780, 126.308330", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°22'22.0\"N, 126°18'30.0\"E", + "latitude": 40.37278, + "longitude": 126.30833 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.372780, 126.308330", + " Latitude: 40.37278°", + " Longitude: 126.30833°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.372780 - 40) × 60) = 22", + " Seconds = ((40.372780 - 40) × 60 - 22) × 60 = 22.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 126", + " Minutes = 18", + " Seconds = 30.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 40°22'22.0\"N, 126°18'30.0\"E", + "FINAL ANSWER: 40°22'22.0\"N, 126°18'30.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Fangchenggang", + "source_format": "decimal_degrees", + "source_string": "21.769450, 108.356610", + "target_format": "DMS", + "ground_truth": { + "target_string": "21°46'10.0\"N, 108°21'23.8\"E", + "latitude": 21.76945, + "longitude": 108.35661 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 21.769450, 108.356610", + " Latitude: 21.76945°", + " Longitude: 108.35661°", + "Step 2: Convert latitude to DMS", + " Degrees = 21", + " Minutes = int((21.769450 - 21) × 60) = 46", + " Seconds = ((21.769450 - 21) × 60 - 46) × 60 = 10.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 108", + " Minutes = 21", + " Seconds = 23.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 21°46'10.0\"N, 108°21'23.8\"E", + "FINAL ANSWER: 21°46'10.0\"N, 108°21'23.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Maputsoe", + "source_format": "decimal_degrees", + "source_string": "-28.886600, 27.899150", + "target_format": "DMS", + "ground_truth": { + "target_string": "28°53'11.8\"S, 27°53'56.9\"E", + "latitude": -28.8866, + "longitude": 27.89915 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -28.886600, 27.899150", + " Latitude: -28.8866°", + " Longitude: 27.89915°", + "Step 2: Convert latitude to DMS", + " Degrees = 28", + " Minutes = int((28.886600 - 28) × 60) = 53", + " Seconds = ((28.886600 - 28) × 60 - 53) × 60 = 11.8", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 27", + " Minutes = 53", + " Seconds = 56.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 28°53'11.8\"S, 27°53'56.9\"E", + "FINAL ANSWER: 28°53'11.8\"S, 27°53'56.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Deolāli", + "source_format": "decimal_degrees", + "source_string": "19.944040, 73.834410", + "target_format": "DMS", + "ground_truth": { + "target_string": "19°56'38.5\"N, 73°50'3.9\"E", + "latitude": 19.94404, + "longitude": 73.83441 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 19.944040, 73.834410", + " Latitude: 19.94404°", + " Longitude: 73.83441°", + "Step 2: Convert latitude to DMS", + " Degrees = 19", + " Minutes = int((19.944040 - 19) × 60) = 56", + " Seconds = ((19.944040 - 19) × 60 - 56) × 60 = 38.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 73", + " Minutes = 50", + " Seconds = 3.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 19°56'38.5\"N, 73°50'3.9\"E", + "FINAL ANSWER: 19°56'38.5\"N, 73°50'3.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Serang", + "source_format": "DMS", + "source_string": "6°6'55.0\"S, 106°9'15.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-6.115280, 106.154170", + "latitude": -6.11528, + "longitude": 106.15417 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 6°6'55.0\"S, 106°9'15.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -6.11528°", + "Step 4: Calculate longitude", + " Longitude: 106.15417°", + "FINAL ANSWER: -6.115280, 106.154170" + ] + }, + { + "task": "format_conversion", + "location_name": "Tachiarai", + "source_format": "DMS", + "source_string": "33°23'60.0\"N, 130°37'0.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "33.400000, 130.616670", + "latitude": 33.4, + "longitude": 130.61667 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 33°23'60.0\"N, 130°37'0.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 33.4°", + "Step 4: Calculate longitude", + " Longitude: 130.61667°", + "FINAL ANSWER: 33.400000, 130.616670" + ] + }, + { + "task": "format_conversion", + "location_name": "Saïda", + "source_format": "DMS", + "source_string": "34°49'49.2\"N, 0°9'6.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "34.830330, 0.151710", + "latitude": 34.83033, + "longitude": 0.15171 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 34��49'49.2\"N, 0°9'6.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 34.83033°", + "Step 4: Calculate longitude", + " Longitude: 0.15171°", + "FINAL ANSWER: 34.830330, 0.151710" + ] + }, + { + "task": "format_conversion", + "location_name": "Köneürgench", + "source_format": "decimal_degrees", + "source_string": "42.327730, 59.154420", + "target_format": "DMS", + "ground_truth": { + "target_string": "42°19'39.8\"N, 59°9'15.9\"E", + "latitude": 42.32773, + "longitude": 59.15442 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 42.327730, 59.154420", + " Latitude: 42.32773°", + " Longitude: 59.15442°", + "Step 2: Convert latitude to DMS", + " Degrees = 42", + " Minutes = int((42.327730 - 42) × 60) = 19", + " Seconds = ((42.327730 - 42) × 60 - 19) × 60 = 39.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 59", + " Minutes = 9", + " Seconds = 15.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 42°19'39.8\"N, 59°9'15.9\"E", + "FINAL ANSWER: 42°19'39.8\"N, 59°9'15.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Hefei", + "source_format": "decimal_degrees", + "source_string": "31.863890, 117.280830", + "target_format": "DMS", + "ground_truth": { + "target_string": "31°51'50.0\"N, 117°16'51.0\"E", + "latitude": 31.86389, + "longitude": 117.28083 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 31.863890, 117.280830", + " Latitude: 31.86389°", + " Longitude: 117.28083°", + "Step 2: Convert latitude to DMS", + " Degrees = 31", + " Minutes = int((31.863890 - 31) × 60) = 51", + " Seconds = ((31.863890 - 31) × 60 - 51) × 60 = 50.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 117", + " Minutes = 16", + " Seconds = 51.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 31°51'50.0\"N, 117°16'51.0\"E", + "FINAL ANSWER: 31°51'50.0\"N, 117°16'51.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Qabqa", + "source_format": "DMS", + "source_string": "36°16'53.0\"N, 100°36'47.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "36.281390, 100.613060", + "latitude": 36.28139, + "longitude": 100.61306 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 36°16'53.0\"N, 100°36'47.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 36.28139°", + "Step 4: Calculate longitude", + " Longitude: 100.61306°", + "FINAL ANSWER: 36.281390, 100.613060" + ] + }, + { + "task": "format_conversion", + "location_name": "Santa Fe", + "source_format": "decimal_degrees", + "source_string": "-31.648810, -60.708680", + "target_format": "DMS", + "ground_truth": { + "target_string": "31°38'55.7\"S, 60°42'31.2\"W", + "latitude": -31.64881, + "longitude": -60.70868 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -31.648810, -60.708680", + " Latitude: -31.64881°", + " Longitude: -60.70868°", + "Step 2: Convert latitude to DMS", + " Degrees = 31", + " Minutes = int((31.648810 - 31) × 60) = 38", + " Seconds = ((31.648810 - 31) × 60 - 38) × 60 = 55.7", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 60", + " Minutes = 42", + " Seconds = 31.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 31°38'55.7\"S, 60°42'31.2\"W", + "FINAL ANSWER: 31°38'55.7\"S, 60°42'31.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Zhezqazghan", + "source_format": "decimal_degrees", + "source_string": "47.794110, 67.706280", + "target_format": "DMS", + "ground_truth": { + "target_string": "47°47'38.8\"N, 67°42'22.6\"E", + "latitude": 47.79411, + "longitude": 67.70628 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 47.794110, 67.706280", + " Latitude: 47.79411°", + " Longitude: 67.70628°", + "Step 2: Convert latitude to DMS", + " Degrees = 47", + " Minutes = int((47.794110 - 47) × 60) = 47", + " Seconds = ((47.794110 - 47) × 60 - 47) × 60 = 38.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 67", + " Minutes = 42", + " Seconds = 22.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 47°47'38.8\"N, 67°42'22.6\"E", + "FINAL ANSWER: 47°47'38.8\"N, 67°42'22.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Mansfield", + "source_format": "decimal_degrees", + "source_string": "40.758390, -82.515450", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°45'30.2\"N, 82°30'55.6\"W", + "latitude": 40.75839, + "longitude": -82.51545 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.758390, -82.515450", + " Latitude: 40.75839°", + " Longitude: -82.51545°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.758390 - 40) × 60) = 45", + " Seconds = ((40.758390 - 40) × 60 - 45) × 60 = 30.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 82", + " Minutes = 30", + " Seconds = 55.6", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 40°45'30.2\"N, 82°30'55.6\"W", + "FINAL ANSWER: 40°45'30.2\"N, 82°30'55.6\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Trubchevsk", + "source_format": "decimal_degrees", + "source_string": "52.580310, 33.765740", + "target_format": "DMS", + "ground_truth": { + "target_string": "52°34'49.1\"N, 33°45'56.7\"E", + "latitude": 52.58031, + "longitude": 33.76574 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 52.580310, 33.765740", + " Latitude: 52.58031°", + " Longitude: 33.76574°", + "Step 2: Convert latitude to DMS", + " Degrees = 52", + " Minutes = int((52.580310 - 52) × 60) = 34", + " Seconds = ((52.580310 - 52) × 60 - 34) × 60 = 49.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 33", + " Minutes = 45", + " Seconds = 56.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 52°34'49.1\"N, 33°45'56.7\"E", + "FINAL ANSWER: 52°34'49.1\"N, 33°45'56.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Dorsten", + "source_format": "decimal_degrees", + "source_string": "51.661660, 6.965140", + "target_format": "DMS", + "ground_truth": { + "target_string": "51°39'42.0\"N, 6°57'54.5\"E", + "latitude": 51.66166, + "longitude": 6.96514 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 51.661660, 6.965140", + " Latitude: 51.66166°", + " Longitude: 6.96514°", + "Step 2: Convert latitude to DMS", + " Degrees = 51", + " Minutes = int((51.661660 - 51) × 60) = 39", + " Seconds = ((51.661660 - 51) × 60 - 39) × 60 = 42.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 6", + " Minutes = 57", + " Seconds = 54.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 51°39'42.0\"N, 6°57'54.5\"E", + "FINAL ANSWER: 51°39'42.0\"N, 6°57'54.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Câmpia Turzii", + "source_format": "decimal_degrees", + "source_string": "46.550000, 23.883330", + "target_format": "DMS", + "ground_truth": { + "target_string": "46°32'60.0\"N, 23°52'60.0\"E", + "latitude": 46.55, + "longitude": 23.88333 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 46.550000, 23.883330", + " Latitude: 46.55°", + " Longitude: 23.88333°", + "Step 2: Convert latitude to DMS", + " Degrees = 46", + " Minutes = int((46.550000 - 46) × 60) = 32", + " Seconds = ((46.550000 - 46) × 60 - 32) × 60 = 60.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 23", + " Minutes = 52", + " Seconds = 60.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 46°32'60.0\"N, 23°52'60.0\"E", + "FINAL ANSWER: 46°32'60.0\"N, 23°52'60.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Crystal Lake", + "source_format": "DD", + "source_string": "42.241130, -88.316200", + "target_format": "DMS", + "ground_truth": { + "target_string": "42°14'28.1\"N, 88°18'58.3\"W", + "latitude": 42.24113, + "longitude": -88.3162 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: 42.241130, -88.316200", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 42°14'28.1\"N, 88°18'58.3\"W", + "FINAL ANSWER: 42°14'28.1\"N, 88°18'58.3\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Yuktae-dong", + "source_format": "DMS", + "source_string": "40°1'29.0\"N, 128°9'35.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.024720, 128.159720", + "latitude": 40.02472, + "longitude": 128.15972 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°1'29.0\"N, 128°9'35.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 40.02472°", + "Step 4: Calculate longitude", + " Longitude: 128.15972°", + "FINAL ANSWER: 40.024720, 128.159720" + ] + }, + { + "task": "format_conversion", + "location_name": "Chinnavādampatti", + "source_format": "DMS", + "source_string": "11°3'41.4\"N, 76°59'1.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "11.061490, 76.983770", + "latitude": 11.06149, + "longitude": 76.98377 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 11°3'41.4\"N, 76°59'1.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 11.06149°", + "Step 4: Calculate longitude", + " Longitude: 76.98377°", + "FINAL ANSWER: 11.061490, 76.983770" + ] + }, + { + "task": "format_conversion", + "location_name": "Yaita", + "source_format": "DMS", + "source_string": "36°47'60.0\"N, 139°55'60.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "36.800000, 139.933330", + "latitude": 36.8, + "longitude": 139.93333 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 36°47'60.0\"N, 139°55'60.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 36.8°", + "Step 4: Calculate longitude", + " Longitude: 139.93333°", + "FINAL ANSWER: 36.800000, 139.933330" + ] + }, + { + "task": "format_conversion", + "location_name": "Flagami", + "source_format": "DMS", + "source_string": "25°45'44.4\"N, 80°18'58.2\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "25.762320, -80.316160", + "latitude": 25.76232, + "longitude": -80.31616 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 25°45'44.4\"N, 80°18'58.2\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 25.76232°", + "Step 4: Calculate longitude", + " Longitude: -80.31616°", + "FINAL ANSWER: 25.762320, -80.316160" + ] + }, + { + "task": "format_conversion", + "location_name": "Cergy", + "source_format": "DMS", + "source_string": "49°2'11.2\"N, 2°4'34.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "49.036450, 2.076130", + "latitude": 49.03645, + "longitude": 2.07613 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 49°2'11.2\"N, 2°4'34.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 49.03645°", + "Step 4: Calculate longitude", + " Longitude: 2.07613°", + "FINAL ANSWER: 49.036450, 2.076130" + ] + }, + { + "task": "format_conversion", + "location_name": "’Aïn el Hammam", + "source_format": "decimal_degrees", + "source_string": "36.564710, 4.306190", + "target_format": "DMS", + "ground_truth": { + "target_string": "36°33'53.0\"N, 4°18'22.3\"E", + "latitude": 36.56471, + "longitude": 4.30619 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 36.564710, 4.306190", + " Latitude: 36.56471°", + " Longitude: 4.30619°", + "Step 2: Convert latitude to DMS", + " Degrees = 36", + " Minutes = int((36.564710 - 36) × 60) = 33", + " Seconds = ((36.564710 - 36) × 60 - 33) × 60 = 53.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 4", + " Minutes = 18", + " Seconds = 22.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 36°33'53.0\"N, 4°18'22.3\"E", + "FINAL ANSWER: 36°33'53.0\"N, 4°18'22.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Topi", + "source_format": "decimal_degrees", + "source_string": "34.070340, 72.621470", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°4'13.2\"N, 72°37'17.3\"E", + "latitude": 34.07034, + "longitude": 72.62147 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 34.070340, 72.621470", + " Latitude: 34.07034°", + " Longitude: 72.62147°", + "Step 2: Convert latitude to DMS", + " Degrees = 34", + " Minutes = int((34.070340 - 34) × 60) = 4", + " Seconds = ((34.070340 - 34) × 60 - 4) × 60 = 13.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 72", + " Minutes = 37", + " Seconds = 17.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 34°4'13.2\"N, 72°37'17.3\"E", + "FINAL ANSWER: 34°4'13.2\"N, 72°37'17.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Oldenburg", + "source_format": "DMS", + "source_string": "53°8'28.2\"N, 8°12'52.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "53.141180, 8.214670", + "latitude": 53.14118, + "longitude": 8.21467 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 53°8'28.2\"N, 8°12'52.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 53.14118°", + "Step 4: Calculate longitude", + " Longitude: 8.21467°", + "FINAL ANSWER: 53.141180, 8.214670" + ] + }, + { + "task": "format_conversion", + "location_name": "São Jorge de Arroios", + "source_format": "DMS", + "source_string": "38°43'44.0\"N, 9°8'17.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "38.728900, -9.138060", + "latitude": 38.7289, + "longitude": -9.13806 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 38°43'44.0\"N, 9°8'17.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 38.7289°", + "Step 4: Calculate longitude", + " Longitude: -9.13806°", + "FINAL ANSWER: 38.728900, -9.138060" + ] + }, + { + "task": "format_conversion", + "location_name": "Nkoteng", + "source_format": "decimal_degrees", + "source_string": "4.516670, 12.033330", + "target_format": "DMS", + "ground_truth": { + "target_string": "4°31'0.0\"N, 12°1'60.0\"E", + "latitude": 4.51667, + "longitude": 12.03333 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 4.516670, 12.033330", + " Latitude: 4.51667°", + " Longitude: 12.03333°", + "Step 2: Convert latitude to DMS", + " Degrees = 4", + " Minutes = int((4.516670 - 4) × 60) = 31", + " Seconds = ((4.516670 - 4) × 60 - 31) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 12", + " Minutes = 1", + " Seconds = 60.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 4°31'0.0\"N, 12°1'60.0\"E", + "FINAL ANSWER: 4°31'0.0\"N, 12°1'60.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Wentzville", + "source_format": "decimal_degrees", + "source_string": "38.811440, -90.852910", + "target_format": "DMS", + "ground_truth": { + "target_string": "38°48'41.2\"N, 90°51'10.5\"W", + "latitude": 38.81144, + "longitude": -90.85291 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 38.811440, -90.852910", + " Latitude: 38.81144°", + " Longitude: -90.85291°", + "Step 2: Convert latitude to DMS", + " Degrees = 38", + " Minutes = int((38.811440 - 38) × 60) = 48", + " Seconds = ((38.811440 - 38) × 60 - 48) × 60 = 41.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 90", + " Minutes = 51", + " Seconds = 10.5", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 38°48'41.2\"N, 90°51'10.5\"W", + "FINAL ANSWER: 38°48'41.2\"N, 90°51'10.5\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Frontera", + "source_format": "decimal_degrees", + "source_string": "26.928140, -101.452120", + "target_format": "DMS", + "ground_truth": { + "target_string": "26°55'41.3\"N, 101°27'7.6\"W", + "latitude": 26.92814, + "longitude": -101.45212 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 26.928140, -101.452120", + " Latitude: 26.92814°", + " Longitude: -101.45212°", + "Step 2: Convert latitude to DMS", + " Degrees = 26", + " Minutes = int((26.928140 - 26) × 60) = 55", + " Seconds = ((26.928140 - 26) × 60 - 55) × 60 = 41.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 101", + " Minutes = 27", + " Seconds = 7.6", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 26°55'41.3\"N, 101°27'7.6\"W", + "FINAL ANSWER: 26°55'41.3\"N, 101°27'7.6\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Santa Cruz", + "source_format": "decimal_degrees", + "source_string": "15.765400, 119.909200", + "target_format": "DMS", + "ground_truth": { + "target_string": "15°45'55.4\"N, 119°54'33.1\"E", + "latitude": 15.7654, + "longitude": 119.9092 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 15.765400, 119.909200", + " Latitude: 15.7654°", + " Longitude: 119.9092°", + "Step 2: Convert latitude to DMS", + " Degrees = 15", + " Minutes = int((15.765400 - 15) × 60) = 45", + " Seconds = ((15.765400 - 15) × 60 - 45) × 60 = 55.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 119", + " Minutes = 54", + " Seconds = 33.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 15°45'55.4\"N, 119°54'33.1\"E", + "FINAL ANSWER: 15°45'55.4\"N, 119°54'33.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Ponto Novo", + "source_format": "decimal_degrees", + "source_string": "-10.862780, -40.133610", + "target_format": "DMS", + "ground_truth": { + "target_string": "10°51'46.0\"S, 40°8'1.0\"W", + "latitude": -10.86278, + "longitude": -40.13361 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -10.862780, -40.133610", + " Latitude: -10.86278°", + " Longitude: -40.13361°", + "Step 2: Convert latitude to DMS", + " Degrees = 10", + " Minutes = int((10.862780 - 10) × 60) = 51", + " Seconds = ((10.862780 - 10) × 60 - 51) × 60 = 46.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 40", + " Minutes = 8", + " Seconds = 1.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 10°51'46.0\"S, 40°8'1.0\"W", + "FINAL ANSWER: 10°51'46.0\"S, 40°8'1.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Tiko", + "source_format": "decimal_degrees", + "source_string": "4.075000, 9.360050", + "target_format": "DMS", + "ground_truth": { + "target_string": "4°4'30.0\"N, 9°21'36.2\"E", + "latitude": 4.075, + "longitude": 9.36005 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 4.075000, 9.360050", + " Latitude: 4.075°", + " Longitude: 9.36005°", + "Step 2: Convert latitude to DMS", + " Degrees = 4", + " Minutes = int((4.075000 - 4) × 60) = 4", + " Seconds = ((4.075000 - 4) × 60 - 4) × 60 = 30.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 9", + " Minutes = 21", + " Seconds = 36.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 4°4'30.0\"N, 9°21'36.2\"E", + "FINAL ANSWER: 4°4'30.0\"N, 9°21'36.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Epworth", + "source_format": "DMS", + "source_string": "17°53'24.0\"S, 31°8'51.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-17.890000, 31.147500", + "latitude": -17.89, + "longitude": 31.1475 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 17°53'24.0\"S, 31°8'51.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -17.89°", + "Step 4: Calculate longitude", + " Longitude: 31.1475°", + "FINAL ANSWER: -17.890000, 31.147500" + ] + }, + { + "task": "format_conversion", + "location_name": "Yamaguchi", + "source_format": "decimal_degrees", + "source_string": "34.183330, 131.466670", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°10'60.0\"N, 131°28'0.0\"E", + "latitude": 34.18333, + "longitude": 131.46667 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 34.183330, 131.466670", + " Latitude: 34.18333°", + " Longitude: 131.46667°", + "Step 2: Convert latitude to DMS", + " Degrees = 34", + " Minutes = int((34.183330 - 34) × 60) = 10", + " Seconds = ((34.183330 - 34) × 60 - 10) × 60 = 60.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 131", + " Minutes = 28", + " Seconds = 0.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 34°10'60.0\"N, 131°28'0.0\"E", + "FINAL ANSWER: 34°10'60.0\"N, 131°28'0.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Honghu", + "source_format": "decimal_degrees", + "source_string": "30.000430, 106.952040", + "target_format": "DMS", + "ground_truth": { + "target_string": "30°0'1.5\"N, 106°57'7.3\"E", + "latitude": 30.00043, + "longitude": 106.95204 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 30.000430, 106.952040", + " Latitude: 30.00043°", + " Longitude: 106.95204°", + "Step 2: Convert latitude to DMS", + " Degrees = 30", + " Minutes = int((30.000430 - 30) × 60) = 0", + " Seconds = ((30.000430 - 30) × 60 - 0) × 60 = 1.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 106", + " Minutes = 57", + " Seconds = 7.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 30°0'1.5\"N, 106°57'7.3\"E", + "FINAL ANSWER: 30°0'1.5\"N, 106°57'7.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Shirahamachō-usazakiminami", + "source_format": "DMS", + "source_string": "34°46'60.0\"N, 134°43'0.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "34.783330, 134.716670", + "latitude": 34.78333, + "longitude": 134.71667 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 34°46'60.0\"N, 134°43'0.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 34.78333°", + "Step 4: Calculate longitude", + " Longitude: 134.71667°", + "FINAL ANSWER: 34.783330, 134.716670" + ] + }, + { + "task": "format_conversion", + "location_name": "New Iberia", + "source_format": "DMS", + "source_string": "30°0'12.7\"N, 91°49'7.4\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "30.003540, -91.818730", + "latitude": 30.00354, + "longitude": -91.81873 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 30°0'12.7\"N, 91°49'7.4\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 30.00354°", + "Step 4: Calculate longitude", + " Longitude: -91.81873°", + "FINAL ANSWER: 30.003540, -91.818730" + ] + }, + { + "task": "format_conversion", + "location_name": "Inner Huai Khwang", + "source_format": "decimal_degrees", + "source_string": "13.781520, 100.583820", + "target_format": "DMS", + "ground_truth": { + "target_string": "13°46'53.5\"N, 100°35'1.8\"E", + "latitude": 13.78152, + "longitude": 100.58382 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 13.781520, 100.583820", + " Latitude: 13.78152°", + " Longitude: 100.58382°", + "Step 2: Convert latitude to DMS", + " Degrees = 13", + " Minutes = int((13.781520 - 13) × 60) = 46", + " Seconds = ((13.781520 - 13) × 60 - 46) × 60 = 53.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 100", + " Minutes = 35", + " Seconds = 1.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 13°46'53.5\"N, 100°35'1.8\"E", + "FINAL ANSWER: 13°46'53.5\"N, 100°35'1.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Jhajha", + "source_format": "DMS", + "source_string": "24°46'15.9\"N, 86°22'44.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "24.771070, 86.378880", + "latitude": 24.77107, + "longitude": 86.37888 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 24°46'15.9\"N, 86°22'44.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 24.77107°", + "Step 4: Calculate longitude", + " Longitude: 86.37888°", + "FINAL ANSWER: 24.771070, 86.378880" + ] + }, + { + "task": "format_conversion", + "location_name": "Maraimalainagar", + "source_format": "DMS", + "source_string": "12°47'52.2\"N, 80°1'30.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "12.797820, 80.025020", + "latitude": 12.79782, + "longitude": 80.02502 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 12°47'52.2\"N, 80°1'30.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 12.79782°", + "Step 4: Calculate longitude", + " Longitude: 80.02502°", + "FINAL ANSWER: 12.797820, 80.025020" + ] + }, + { + "task": "format_conversion", + "location_name": "Sochi", + "source_format": "decimal_degrees", + "source_string": "43.596990, 39.724770", + "target_format": "DMS", + "ground_truth": { + "target_string": "43°35'49.2\"N, 39°43'29.2\"E", + "latitude": 43.59699, + "longitude": 39.72477 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 43.596990, 39.724770", + " Latitude: 43.59699°", + " Longitude: 39.72477°", + "Step 2: Convert latitude to DMS", + " Degrees = 43", + " Minutes = int((43.596990 - 43) × 60) = 35", + " Seconds = ((43.596990 - 43) × 60 - 35) × 60 = 49.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 39", + " Minutes = 43", + " Seconds = 29.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 43°35'49.2\"N, 39°43'29.2\"E", + "FINAL ANSWER: 43°35'49.2\"N, 39°43'29.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Dornbirn", + "source_format": "DMS", + "source_string": "47°24'51.4\"N, 9°44'31.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "47.414270, 9.741950", + "latitude": 47.41427, + "longitude": 9.74195 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 47°24'51.4\"N, 9°44'31.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 47.41427°", + "Step 4: Calculate longitude", + " Longitude: 9.74195°", + "FINAL ANSWER: 47.414270, 9.741950" + ] + }, + { + "task": "format_conversion", + "location_name": "Anderlecht", + "source_format": "decimal_degrees", + "source_string": "50.836190, 4.314540", + "target_format": "DMS", + "ground_truth": { + "target_string": "50°50'10.3\"N, 4°18'52.3\"E", + "latitude": 50.83619, + "longitude": 4.31454 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 50.836190, 4.314540", + " Latitude: 50.83619°", + " Longitude: 4.31454°", + "Step 2: Convert latitude to DMS", + " Degrees = 50", + " Minutes = int((50.836190 - 50) × 60) = 50", + " Seconds = ((50.836190 - 50) × 60 - 50) × 60 = 10.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 4", + " Minutes = 18", + " Seconds = 52.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 50°50'10.3\"N, 4°18'52.3\"E", + "FINAL ANSWER: 50°50'10.3\"N, 4°18'52.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Pietermaritzburg", + "source_format": "DMS", + "source_string": "29°37'0.4\"S, 30°23'34.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-29.616790, 30.392780", + "latitude": -29.61679, + "longitude": 30.39278 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 29°37'0.4\"S, 30°23'34.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -29.61679°", + "Step 4: Calculate longitude", + " Longitude: 30.39278°", + "FINAL ANSWER: -29.616790, 30.392780" + ] + }, + { + "task": "format_conversion", + "location_name": "Begamganj", + "source_format": "decimal_degrees", + "source_string": "23.599170, 78.340640", + "target_format": "DMS", + "ground_truth": { + "target_string": "23°35'57.0\"N, 78°20'26.3\"E", + "latitude": 23.59917, + "longitude": 78.34064 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 23.599170, 78.340640", + " Latitude: 23.59917°", + " Longitude: 78.34064°", + "Step 2: Convert latitude to DMS", + " Degrees = 23", + " Minutes = int((23.599170 - 23) × 60) = 35", + " Seconds = ((23.599170 - 23) × 60 - 35) × 60 = 57.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 78", + " Minutes = 20", + " Seconds = 26.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 23°35'57.0\"N, 78°20'26.3\"E", + "FINAL ANSWER: 23°35'57.0\"N, 78°20'26.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Mahmutlar", + "source_format": "decimal_degrees", + "source_string": "36.494630, 32.090850", + "target_format": "DMS", + "ground_truth": { + "target_string": "36°29'40.7\"N, 32°5'27.1\"E", + "latitude": 36.49463, + "longitude": 32.09085 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 36.494630, 32.090850", + " Latitude: 36.49463°", + " Longitude: 32.09085°", + "Step 2: Convert latitude to DMS", + " Degrees = 36", + " Minutes = int((36.494630 - 36) × 60) = 29", + " Seconds = ((36.494630 - 36) × 60 - 29) × 60 = 40.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 32", + " Minutes = 5", + " Seconds = 27.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 36°29'40.7\"N, 32°5'27.1\"E", + "FINAL ANSWER: 36°29'40.7\"N, 32°5'27.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Katsuren-haebaru", + "source_format": "decimal_degrees", + "source_string": "26.332940, 127.874030", + "target_format": "DMS", + "ground_truth": { + "target_string": "26°19'58.6\"N, 127°52'26.5\"E", + "latitude": 26.33294, + "longitude": 127.87403 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 26.332940, 127.874030", + " Latitude: 26.33294°", + " Longitude: 127.87403°", + "Step 2: Convert latitude to DMS", + " Degrees = 26", + " Minutes = int((26.332940 - 26) × 60) = 19", + " Seconds = ((26.332940 - 26) × 60 - 19) × 60 = 58.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 127", + " Minutes = 52", + " Seconds = 26.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 26°19'58.6\"N, 127°52'26.5\"E", + "FINAL ANSWER: 26°19'58.6\"N, 127°52'26.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kalpatta", + "source_format": "decimal_degrees", + "source_string": "11.608710, 76.083430", + "target_format": "DMS", + "ground_truth": { + "target_string": "11°36'31.4\"N, 76°5'0.3\"E", + "latitude": 11.60871, + "longitude": 76.08343 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 11.608710, 76.083430", + " Latitude: 11.60871°", + " Longitude: 76.08343°", + "Step 2: Convert latitude to DMS", + " Degrees = 11", + " Minutes = int((11.608710 - 11) × 60) = 36", + " Seconds = ((11.608710 - 11) × 60 - 36) × 60 = 31.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 76", + " Minutes = 5", + " Seconds = 0.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 11°36'31.4\"N, 76°5'0.3\"E", + "FINAL ANSWER: 11°36'31.4\"N, 76°5'0.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Florence", + "source_format": "decimal_degrees", + "source_string": "33.031450, -111.387340", + "target_format": "DMS", + "ground_truth": { + "target_string": "33°1'53.2\"N, 111°23'14.4\"W", + "latitude": 33.03145, + "longitude": -111.38734 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 33.031450, -111.387340", + " Latitude: 33.03145°", + " Longitude: -111.38734°", + "Step 2: Convert latitude to DMS", + " Degrees = 33", + " Minutes = int((33.031450 - 33) × 60) = 1", + " Seconds = ((33.031450 - 33) × 60 - 1) × 60 = 53.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 111", + " Minutes = 23", + " Seconds = 14.4", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 33°1'53.2\"N, 111°23'14.4\"W", + "FINAL ANSWER: 33°1'53.2\"N, 111°23'14.4\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Mamanguape", + "source_format": "decimal_degrees", + "source_string": "-6.838610, -35.126110", + "target_format": "DMS", + "ground_truth": { + "target_string": "6°50'19.0\"S, 35°7'34.0\"W", + "latitude": -6.83861, + "longitude": -35.12611 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -6.838610, -35.126110", + " Latitude: -6.83861°", + " Longitude: -35.12611°", + "Step 2: Convert latitude to DMS", + " Degrees = 6", + " Minutes = int((6.838610 - 6) × 60) = 50", + " Seconds = ((6.838610 - 6) × 60 - 50) × 60 = 19.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 35", + " Minutes = 7", + " Seconds = 34.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 6°50'19.0\"S, 35°7'34.0\"W", + "FINAL ANSWER: 6°50'19.0\"S, 35°7'34.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Velampālaiyam", + "source_format": "DMS", + "source_string": "11°8'15.5\"N, 77°18'38.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "11.137640, 77.310640", + "latitude": 11.13764, + "longitude": 77.31064 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 11°8'15.5\"N, 77°18'38.3\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 11.13764°", + "Step 4: Calculate longitude", + " Longitude: 77.31064°", + "FINAL ANSWER: 11.137640, 77.310640" + ] + }, + { + "task": "format_conversion", + "location_name": "Rolândia", + "source_format": "decimal_degrees", + "source_string": "-23.309720, -51.369170", + "target_format": "DMS", + "ground_truth": { + "target_string": "23°18'35.0\"S, 51°22'9.0\"W", + "latitude": -23.30972, + "longitude": -51.36917 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -23.309720, -51.369170", + " Latitude: -23.30972°", + " Longitude: -51.36917°", + "Step 2: Convert latitude to DMS", + " Degrees = 23", + " Minutes = int((23.309720 - 23) × 60) = 18", + " Seconds = ((23.309720 - 23) × 60 - 18) × 60 = 35.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 51", + " Minutes = 22", + " Seconds = 9.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 23°18'35.0\"S, 51°22'9.0\"W", + "FINAL ANSWER: 23°18'35.0\"S, 51°22'9.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Alexeyevka", + "source_format": "DMS", + "source_string": "50°37'51.3\"N, 38°41'25.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "50.630920, 38.690300", + "latitude": 50.63092, + "longitude": 38.6903 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 50°37'51.3\"N, 38°41'25.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 50.63092°", + "Step 4: Calculate longitude", + " Longitude: 38.6903°", + "FINAL ANSWER: 50.630920, 38.690300" + ] + }, + { + "task": "format_conversion", + "location_name": "Downtown DC", + "source_format": "decimal_degrees", + "source_string": "38.893500, -77.019910", + "target_format": "DMS", + "ground_truth": { + "target_string": "38°53'36.6\"N, 77°1'11.7\"W", + "latitude": 38.8935, + "longitude": -77.01991 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 38.893500, -77.019910", + " Latitude: 38.8935°", + " Longitude: -77.01991°", + "Step 2: Convert latitude to DMS", + " Degrees = 38", + " Minutes = int((38.893500 - 38) × 60) = 53", + " Seconds = ((38.893500 - 38) × 60 - 53) × 60 = 36.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 77", + " Minutes = 1", + " Seconds = 11.7", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 38°53'36.6\"N, 77°1'11.7\"W", + "FINAL ANSWER: 38°53'36.6\"N, 77°1'11.7\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Ngerengere", + "source_format": "DMS", + "source_string": "6°45'0.0\"S, 38°7'0.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-6.750000, 38.116670", + "latitude": -6.75, + "longitude": 38.11667 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 6°45'0.0\"S, 38°7'0.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -6.75°", + "Step 4: Calculate longitude", + " Longitude: 38.11667°", + "FINAL ANSWER: -6.750000, 38.116670" + ] + }, + { + "task": "format_conversion", + "location_name": "Port Sudan", + "source_format": "decimal_degrees", + "source_string": "19.617450, 37.216440", + "target_format": "DMS", + "ground_truth": { + "target_string": "19°37'2.8\"N, 37°12'59.2\"E", + "latitude": 19.61745, + "longitude": 37.21644 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 19.617450, 37.216440", + " Latitude: 19.61745°", + " Longitude: 37.21644°", + "Step 2: Convert latitude to DMS", + " Degrees = 19", + " Minutes = int((19.617450 - 19) × 60) = 37", + " Seconds = ((19.617450 - 19) × 60 - 37) × 60 = 2.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 37", + " Minutes = 12", + " Seconds = 59.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 19°37'2.8\"N, 37°12'59.2\"E", + "FINAL ANSWER: 19°37'2.8\"N, 37°12'59.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Tangshan", + "source_format": "DMS", + "source_string": "39°38'37.7\"N, 118°10'59.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "39.643810, 118.183190", + "latitude": 39.64381, + "longitude": 118.18319 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 39°38'37.7\"N, 118°10'59.5\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 39.64381°", + "Step 4: Calculate longitude", + " Longitude: 118.18319°", + "FINAL ANSWER: 39.643810, 118.183190" + ] + }, + { + "task": "format_conversion", + "location_name": "Babamba", + "source_format": "decimal_degrees", + "source_string": "0.183330, 27.483330", + "target_format": "DMS", + "ground_truth": { + "target_string": "0°10'60.0\"N, 27°28'60.0\"E", + "latitude": 0.18333, + "longitude": 27.48333 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 0.183330, 27.483330", + " Latitude: 0.18333°", + " Longitude: 27.48333°", + "Step 2: Convert latitude to DMS", + " Degrees = 0", + " Minutes = int((0.183330 - 0) × 60) = 10", + " Seconds = ((0.183330 - 0) × 60 - 10) × 60 = 60.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 27", + " Minutes = 28", + " Seconds = 60.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 0°10'60.0\"N, 27°28'60.0\"E", + "FINAL ANSWER: 0°10'60.0\"N, 27°28'60.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Franschhoek", + "source_format": "DMS", + "source_string": "33°54'38.7\"S, 19°7'11.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-33.910750, 19.119800", + "latitude": -33.91075, + "longitude": 19.1198 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 33°54'38.7\"S, 19°7'11.3\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -33.91075°", + "Step 4: Calculate longitude", + " Longitude: 19.1198°", + "FINAL ANSWER: -33.910750, 19.119800" + ] + }, + { + "task": "format_conversion", + "location_name": "León de los Aldama", + "source_format": "DMS", + "source_string": "21°7'44.7\"N, 101°40'25.5\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "21.129080, -101.673740", + "latitude": 21.12908, + "longitude": -101.67374 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 21°7'44.7\"N, 101°40'25.5\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 21.12908°", + "Step 4: Calculate longitude", + " Longitude: -101.67374°", + "FINAL ANSWER: 21.129080, -101.673740" + ] + }, + { + "task": "format_conversion", + "location_name": "Fürth", + "source_format": "DMS", + "source_string": "49°28'33.3\"N, 10°59'18.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "49.475930, 10.988560", + "latitude": 49.47593, + "longitude": 10.98856 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 49°28'33.3\"N, 10°59'18.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 49.47593°", + "Step 4: Calculate longitude", + " Longitude: 10.98856°", + "FINAL ANSWER: 49.475930, 10.988560" + ] + }, + { + "task": "format_conversion", + "location_name": "Tanga", + "source_format": "decimal_degrees", + "source_string": "-5.068930, 39.098750", + "target_format": "DMS", + "ground_truth": { + "target_string": "5°4'8.1\"S, 39°5'55.5\"E", + "latitude": -5.06893, + "longitude": 39.09875 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -5.068930, 39.098750", + " Latitude: -5.06893°", + " Longitude: 39.09875°", + "Step 2: Convert latitude to DMS", + " Degrees = 5", + " Minutes = int((5.068930 - 5) × 60) = 4", + " Seconds = ((5.068930 - 5) × 60 - 4) × 60 = 8.1", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 39", + " Minutes = 5", + " Seconds = 55.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 5°4'8.1\"S, 39°5'55.5\"E", + "FINAL ANSWER: 5°4'8.1\"S, 39°5'55.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Grand Junction", + "source_format": "decimal_degrees", + "source_string": "39.063870, -108.550650", + "target_format": "DMS", + "ground_truth": { + "target_string": "39°3'49.9\"N, 108°33'2.3\"W", + "latitude": 39.06387, + "longitude": -108.55065 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 39.063870, -108.550650", + " Latitude: 39.06387°", + " Longitude: -108.55065°", + "Step 2: Convert latitude to DMS", + " Degrees = 39", + " Minutes = int((39.063870 - 39) × 60) = 3", + " Seconds = ((39.063870 - 39) × 60 - 3) × 60 = 49.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 108", + " Minutes = 33", + " Seconds = 2.3", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 39°3'49.9\"N, 108°33'2.3\"W", + "FINAL ANSWER: 39°3'49.9\"N, 108°33'2.3\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Pasadena", + "source_format": "DMS", + "source_string": "29°41'27.8\"N, 95°12'32.8\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "29.691060, -95.209100", + "latitude": 29.69106, + "longitude": -95.2091 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 29°41'27.8\"N, 95°12'32.8\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 29.69106°", + "Step 4: Calculate longitude", + " Longitude: -95.2091°", + "FINAL ANSWER: 29.691060, -95.209100" + ] + }, + { + "task": "format_conversion", + "location_name": "Pout", + "source_format": "decimal_degrees", + "source_string": "14.770990, -17.061070", + "target_format": "DMS", + "ground_truth": { + "target_string": "14°46'15.6\"N, 17°3'39.9\"W", + "latitude": 14.77099, + "longitude": -17.06107 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 14.770990, -17.061070", + " Latitude: 14.77099°", + " Longitude: -17.06107°", + "Step 2: Convert latitude to DMS", + " Degrees = 14", + " Minutes = int((14.770990 - 14) × 60) = 46", + " Seconds = ((14.770990 - 14) × 60 - 46) × 60 = 15.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 17", + " Minutes = 3", + " Seconds = 39.9", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 14°46'15.6\"N, 17°3'39.9\"W", + "FINAL ANSWER: 14°46'15.6\"N, 17°3'39.9\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Magdalena Contreras", + "source_format": "decimal_degrees", + "source_string": "19.332120, -99.211180", + "target_format": "DMS", + "ground_truth": { + "target_string": "19°19'55.6\"N, 99°12'40.2\"W", + "latitude": 19.33212, + "longitude": -99.21118 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 19.332120, -99.211180", + " Latitude: 19.33212°", + " Longitude: -99.21118°", + "Step 2: Convert latitude to DMS", + " Degrees = 19", + " Minutes = int((19.332120 - 19) × 60) = 19", + " Seconds = ((19.332120 - 19) × 60 - 19) × 60 = 55.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 99", + " Minutes = 12", + " Seconds = 40.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 19°19'55.6\"N, 99°12'40.2\"W", + "FINAL ANSWER: 19°19'55.6\"N, 99°12'40.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Modřany", + "source_format": "decimal_degrees", + "source_string": "50.011160, 14.409600", + "target_format": "DMS", + "ground_truth": { + "target_string": "50°0'40.2\"N, 14°24'34.6\"E", + "latitude": 50.01116, + "longitude": 14.4096 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 50.011160, 14.409600", + " Latitude: 50.01116°", + " Longitude: 14.4096°", + "Step 2: Convert latitude to DMS", + " Degrees = 50", + " Minutes = int((50.011160 - 50) × 60) = 0", + " Seconds = ((50.011160 - 50) × 60 - 0) × 60 = 40.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 14", + " Minutes = 24", + " Seconds = 34.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 50°0'40.2\"N, 14°24'34.6\"E", + "FINAL ANSWER: 50°0'40.2\"N, 14°24'34.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Plottier", + "source_format": "DMS", + "source_string": "38°58'0.0\"S, 68°13'60.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-38.966670, -68.233330", + "latitude": -38.96667, + "longitude": -68.23333 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 38°58'0.0\"S, 68°13'60.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -38.96667°", + "Step 4: Calculate longitude", + " Longitude: -68.23333°", + "FINAL ANSWER: -38.966670, -68.233330" + ] + }, + { + "task": "format_conversion", + "location_name": "Dinapore", + "source_format": "DMS", + "source_string": "25°38'13.4\"N, 85°2'52.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "25.637050, 85.047940", + "latitude": 25.63705, + "longitude": 85.04794 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 25°38'13.4\"N, 85°2'52.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 25.63705°", + "Step 4: Calculate longitude", + " Longitude: 85.04794°", + "FINAL ANSWER: 25.637050, 85.047940" + ] + }, + { + "task": "format_conversion", + "location_name": "Eleşkirt", + "source_format": "DMS", + "source_string": "39°47'52.9\"N, 42°40'32.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "39.798030, 42.675740", + "latitude": 39.79803, + "longitude": 42.67574 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 39°47'52.9\"N, 42°40'32.7\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 39.79803°", + "Step 4: Calculate longitude", + " Longitude: 42.67574°", + "FINAL ANSWER: 39.798030, 42.675740" + ] + }, + { + "task": "format_conversion", + "location_name": "Ródos", + "source_format": "DMS", + "source_string": "36°26'8.0\"N, 28°13'19.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "36.435560, 28.221990", + "latitude": 36.43556, + "longitude": 28.22199 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 36°26'8.0\"N, 28°13'19.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 36.43556°", + "Step 4: Calculate longitude", + " Longitude: 28.22199°", + "FINAL ANSWER: 36.435560, 28.221990" + ] + }, + { + "task": "format_conversion", + "location_name": "Chrudim", + "source_format": "DMS", + "source_string": "49°57'3.9\"N, 15°47'44.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "49.951090, 15.795580", + "latitude": 49.95109, + "longitude": 15.79558 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 49°57'3.9\"N, 15°47'44.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 49.95109°", + "Step 4: Calculate longitude", + " Longitude: 15.79558°", + "FINAL ANSWER: 49.951090, 15.795580" + ] + }, + { + "task": "format_conversion", + "location_name": "Manafwa", + "source_format": "decimal_degrees", + "source_string": "0.952000, 34.270000", + "target_format": "DMS", + "ground_truth": { + "target_string": "0°57'7.2\"N, 34°16'12.0\"E", + "latitude": 0.952, + "longitude": 34.27 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 0.952000, 34.270000", + " Latitude: 0.952°", + " Longitude: 34.27°", + "Step 2: Convert latitude to DMS", + " Degrees = 0", + " Minutes = int((0.952000 - 0) × 60) = 57", + " Seconds = ((0.952000 - 0) × 60 - 57) × 60 = 7.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 34", + " Minutes = 16", + " Seconds = 12.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 0°57'7.2\"N, 34°16'12.0\"E", + "FINAL ANSWER: 0°57'7.2\"N, 34°16'12.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Owando", + "source_format": "decimal_degrees", + "source_string": "-0.481930, 15.899880", + "target_format": "DMS", + "ground_truth": { + "target_string": "0°28'54.9\"S, 15°53'59.6\"E", + "latitude": -0.48193, + "longitude": 15.89988 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -0.481930, 15.899880", + " Latitude: -0.48193°", + " Longitude: 15.89988°", + "Step 2: Convert latitude to DMS", + " Degrees = 0", + " Minutes = int((0.481930 - 0) × 60) = 28", + " Seconds = ((0.481930 - 0) × 60 - 28) × 60 = 54.9", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 15", + " Minutes = 53", + " Seconds = 59.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 0°28'54.9\"S, 15°53'59.6\"E", + "FINAL ANSWER: 0°28'54.9\"S, 15°53'59.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kamensk-Shakhtinsky", + "source_format": "DMS", + "source_string": "48°19'4.0\"N, 40°15'34.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "48.317790, 40.259480", + "latitude": 48.31779, + "longitude": 40.25948 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 48°19'4.0\"N, 40°15'34.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 48.31779°", + "Step 4: Calculate longitude", + " Longitude: 40.25948°", + "FINAL ANSWER: 48.317790, 40.259480" + ] + }, + { + "task": "format_conversion", + "location_name": "Suket", + "source_format": "DMS", + "source_string": "24°38'45.9\"N, 76°2'30.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "24.646090, 76.041700", + "latitude": 24.64609, + "longitude": 76.0417 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 24°38'45.9\"N, 76°2'30.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 24.64609°", + "Step 4: Calculate longitude", + " Longitude: 76.0417°", + "FINAL ANSWER: 24.646090, 76.041700" + ] + }, + { + "task": "format_conversion", + "location_name": "Beijing", + "source_format": "decimal_degrees", + "source_string": "39.907500, 116.397230", + "target_format": "DMS", + "ground_truth": { + "target_string": "39°54'27.0\"N, 116°23'50.0\"E", + "latitude": 39.9075, + "longitude": 116.39723 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 39.907500, 116.397230", + " Latitude: 39.9075°", + " Longitude: 116.39723°", + "Step 2: Convert latitude to DMS", + " Degrees = 39", + " Minutes = int((39.907500 - 39) × 60) = 54", + " Seconds = ((39.907500 - 39) × 60 - 54) × 60 = 27.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 116", + " Minutes = 23", + " Seconds = 50.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 39°54'27.0\"N, 116°23'50.0\"E", + "FINAL ANSWER: 39°54'27.0\"N, 116°23'50.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Elmina", + "source_format": "DMS", + "source_string": "3°11'6.8\"N, 101°31'28.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "3.185230, 101.524610", + "latitude": 3.18523, + "longitude": 101.52461 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 3°11'6.8\"N, 101°31'28.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 3.18523°", + "Step 4: Calculate longitude", + " Longitude: 101.52461°", + "FINAL ANSWER: 3.185230, 101.524610" + ] + }, + { + "task": "format_conversion", + "location_name": "Kyaikkami", + "source_format": "DMS", + "source_string": "16°4'36.7\"N, 97°33'50.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "16.076860, 97.563880", + "latitude": 16.07686, + "longitude": 97.56388 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 16°4'36.7\"N, 97°33'50.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 16.07686°", + "Step 4: Calculate longitude", + " Longitude: 97.56388°", + "FINAL ANSWER: 16.076860, 97.563880" + ] + }, + { + "task": "format_conversion", + "location_name": "Shima", + "source_format": "DMS", + "source_string": "24°26'47.3\"N, 117°48'43.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "24.446470, 117.812160", + "latitude": 24.44647, + "longitude": 117.81216 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 24°26'47.3\"N, 117°48'43.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 24.44647°", + "Step 4: Calculate longitude", + " Longitude: 117.81216°", + "FINAL ANSWER: 24.446470, 117.812160" + ] + }, + { + "task": "format_conversion", + "location_name": "Ipixuna", + "source_format": "decimal_degrees", + "source_string": "-7.050560, -71.694720", + "target_format": "DMS", + "ground_truth": { + "target_string": "7°3'2.0\"S, 71°41'41.0\"W", + "latitude": -7.05056, + "longitude": -71.69472 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -7.050560, -71.694720", + " Latitude: -7.05056°", + " Longitude: -71.69472°", + "Step 2: Convert latitude to DMS", + " Degrees = 7", + " Minutes = int((7.050560 - 7) × 60) = 3", + " Seconds = ((7.050560 - 7) × 60 - 3) × 60 = 2.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 71", + " Minutes = 41", + " Seconds = 41.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 7°3'2.0\"S, 71°41'41.0\"W", + "FINAL ANSWER: 7°3'2.0\"S, 71°41'41.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Sāvli", + "source_format": "DMS", + "source_string": "22°33'42.8\"N, 73°13'23.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "22.561880, 73.223170", + "latitude": 22.56188, + "longitude": 73.22317 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 22°33'42.8\"N, 73°13'23.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 22.56188°", + "Step 4: Calculate longitude", + " Longitude: 73.22317°", + "FINAL ANSWER: 22.561880, 73.223170" + ] + }, + { + "task": "format_conversion", + "location_name": "Māler Kotla", + "source_format": "DMS", + "source_string": "30°31'51.2\"N, 75°52'46.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "30.530900, 75.879490", + "latitude": 30.5309, + "longitude": 75.87949 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 30°31'51.2\"N, 75°52'46.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 30.5309°", + "Step 4: Calculate longitude", + " Longitude: 75.87949°", + "FINAL ANSWER: 30.530900, 75.879490" + ] + }, + { + "task": "format_conversion", + "location_name": "Imaichi", + "source_format": "decimal_degrees", + "source_string": "36.716670, 139.683330", + "target_format": "DMS", + "ground_truth": { + "target_string": "36°43'0.0\"N, 139°40'60.0\"E", + "latitude": 36.71667, + "longitude": 139.68333 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 36.716670, 139.683330", + " Latitude: 36.71667°", + " Longitude: 139.68333°", + "Step 2: Convert latitude to DMS", + " Degrees = 36", + " Minutes = int((36.716670 - 36) × 60) = 43", + " Seconds = ((36.716670 - 36) × 60 - 43) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 139", + " Minutes = 40", + " Seconds = 60.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 36°43'0.0\"N, 139°40'60.0\"E", + "FINAL ANSWER: 36°43'0.0\"N, 139°40'60.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "La Grange", + "source_format": "decimal_degrees", + "source_string": "41.805030, -87.869230", + "target_format": "DMS", + "ground_truth": { + "target_string": "41°48'18.1\"N, 87°52'9.2\"W", + "latitude": 41.80503, + "longitude": -87.86923 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 41.805030, -87.869230", + " Latitude: 41.80503°", + " Longitude: -87.86923°", + "Step 2: Convert latitude to DMS", + " Degrees = 41", + " Minutes = int((41.805030 - 41) × 60) = 48", + " Seconds = ((41.805030 - 41) × 60 - 48) × 60 = 18.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 87", + " Minutes = 52", + " Seconds = 9.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 41°48'18.1\"N, 87°52'9.2\"W", + "FINAL ANSWER: 41°48'18.1\"N, 87°52'9.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Basni", + "source_format": "decimal_degrees", + "source_string": "27.172320, 73.645190", + "target_format": "DMS", + "ground_truth": { + "target_string": "27°10'20.4\"N, 73°38'42.7\"E", + "latitude": 27.17232, + "longitude": 73.64519 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 27.172320, 73.645190", + " Latitude: 27.17232°", + " Longitude: 73.64519°", + "Step 2: Convert latitude to DMS", + " Degrees = 27", + " Minutes = int((27.172320 - 27) × 60) = 10", + " Seconds = ((27.172320 - 27) × 60 - 10) × 60 = 20.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 73", + " Minutes = 38", + " Seconds = 42.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 27°10'20.4\"N, 73°38'42.7\"E", + "FINAL ANSWER: 27°10'20.4\"N, 73°38'42.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Dhaurahra", + "source_format": "decimal_degrees", + "source_string": "27.998140, 81.089750", + "target_format": "DMS", + "ground_truth": { + "target_string": "27°59'53.3\"N, 81°5'23.1\"E", + "latitude": 27.99814, + "longitude": 81.08975 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 27.998140, 81.089750", + " Latitude: 27.99814°", + " Longitude: 81.08975°", + "Step 2: Convert latitude to DMS", + " Degrees = 27", + " Minutes = int((27.998140 - 27) × 60) = 59", + " Seconds = ((27.998140 - 27) × 60 - 59) × 60 = 53.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 81", + " Minutes = 5", + " Seconds = 23.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 27°59'53.3\"N, 81°5'23.1\"E", + "FINAL ANSWER: 27°59'53.3\"N, 81°5'23.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Mulchén", + "source_format": "DMS", + "source_string": "37°43'8.1\"S, 72°14'27.6\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-37.718930, -72.240990", + "latitude": -37.71893, + "longitude": -72.24099 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 37°43'8.1\"S, 72°14'27.6\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -37.71893°", + "Step 4: Calculate longitude", + " Longitude: -72.24099°", + "FINAL ANSWER: -37.718930, -72.240990" + ] + }, + { + "task": "format_conversion", + "location_name": "Alcobendas", + "source_format": "DMS", + "source_string": "40°32'50.9\"N, 3°38'31.1\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.547460, -3.641970", + "latitude": 40.54746, + "longitude": -3.64197 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°32'50.9\"N, 3°38'31.1\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 40.54746°", + "Step 4: Calculate longitude", + " Longitude: -3.64197°", + "FINAL ANSWER: 40.547460, -3.641970" + ] + }, + { + "task": "format_conversion", + "location_name": "Cotabato", + "source_format": "DMS", + "source_string": "7°13'25.0\"N, 124°14'47.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "7.223610, 124.246390", + "latitude": 7.22361, + "longitude": 124.24639 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 7°13'25.0\"N, 124°14'47.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 7.22361°", + "Step 4: Calculate longitude", + " Longitude: 124.24639°", + "FINAL ANSWER: 7.223610, 124.246390" + ] + }, + { + "task": "format_conversion", + "location_name": "Khairpur Mir’s", + "source_format": "DMS", + "source_string": "27°31'46.1\"N, 68°45'32.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "27.529480, 68.759150", + "latitude": 27.52948, + "longitude": 68.75915 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 27°31'46.1\"N, 68°45'32.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 27.52948°", + "Step 4: Calculate longitude", + " Longitude: 68.75915°", + "FINAL ANSWER: 27.529480, 68.759150" + ] + }, + { + "task": "format_conversion", + "location_name": "Frankenberg", + "source_format": "DMS", + "source_string": "50°54'46.7\"N, 13°2'24.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "50.912970, 13.040110", + "latitude": 50.91297, + "longitude": 13.04011 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 50°54'46.7\"N, 13°2'24.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 50.91297°", + "Step 4: Calculate longitude", + " Longitude: 13.04011°", + "FINAL ANSWER: 50.912970, 13.040110" + ] + }, + { + "task": "format_conversion", + "location_name": "Negage", + "source_format": "DMS", + "source_string": "7°45'33.8\"S, 15°16'19.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-7.759380, 15.272200", + "latitude": -7.75938, + "longitude": 15.2722 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 7°45'33.8\"S, 15°16'19.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -7.75938°", + "Step 4: Calculate longitude", + " Longitude: 15.2722°", + "FINAL ANSWER: -7.759380, 15.272200" + ] + }, + { + "task": "format_conversion", + "location_name": "Dumont", + "source_format": "DMS", + "source_string": "40°56'26.3\"N, 73°59'48.5\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.940650, -73.996810", + "latitude": 40.94065, + "longitude": -73.99681 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°56'26.3\"N, 73°59'48.5\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 40.94065°", + "Step 4: Calculate longitude", + " Longitude: -73.99681°", + "FINAL ANSWER: 40.940650, -73.996810" + ] + }, + { + "task": "format_conversion", + "location_name": "Alice", + "source_format": "decimal_degrees", + "source_string": "27.752250, -98.069720", + "target_format": "DMS", + "ground_truth": { + "target_string": "27°45'8.1\"N, 98°4'11.0\"W", + "latitude": 27.75225, + "longitude": -98.06972 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 27.752250, -98.069720", + " Latitude: 27.75225°", + " Longitude: -98.06972°", + "Step 2: Convert latitude to DMS", + " Degrees = 27", + " Minutes = int((27.752250 - 27) × 60) = 45", + " Seconds = ((27.752250 - 27) × 60 - 45) × 60 = 8.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 98", + " Minutes = 4", + " Seconds = 11.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 27°45'8.1\"N, 98°4'11.0\"W", + "FINAL ANSWER: 27°45'8.1\"N, 98°4'11.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Shajing Residential District", + "source_format": "DMS", + "source_string": "22°43'54.4\"N, 113°48'42.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "22.731770, 113.811850", + "latitude": 22.73177, + "longitude": 113.81185 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 22°43'54.4\"N, 113°48'42.7\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 22.73177°", + "Step 4: Calculate longitude", + " Longitude: 113.81185°", + "FINAL ANSWER: 22.731770, 113.811850" + ] + }, + { + "task": "format_conversion", + "location_name": "Lachi", + "source_format": "decimal_degrees", + "source_string": "33.382910, 71.337330", + "target_format": "DMS", + "ground_truth": { + "target_string": "33°22'58.5\"N, 71°20'14.4\"E", + "latitude": 33.38291, + "longitude": 71.33733 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 33.382910, 71.337330", + " Latitude: 33.38291°", + " Longitude: 71.33733°", + "Step 2: Convert latitude to DMS", + " Degrees = 33", + " Minutes = int((33.382910 - 33) × 60) = 22", + " Seconds = ((33.382910 - 33) × 60 - 22) × 60 = 58.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 71", + " Minutes = 20", + " Seconds = 14.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 33°22'58.5\"N, 71°20'14.4\"E", + "FINAL ANSWER: 33°22'58.5\"N, 71°20'14.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Landerneau", + "source_format": "decimal_degrees", + "source_string": "48.451500, -4.251750", + "target_format": "DMS", + "ground_truth": { + "target_string": "48°27'5.4\"N, 4°15'6.3\"W", + "latitude": 48.4515, + "longitude": -4.25175 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 48.451500, -4.251750", + " Latitude: 48.4515°", + " Longitude: -4.25175°", + "Step 2: Convert latitude to DMS", + " Degrees = 48", + " Minutes = int((48.451500 - 48) × 60) = 27", + " Seconds = ((48.451500 - 48) × 60 - 27) × 60 = 5.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 4", + " Minutes = 15", + " Seconds = 6.3", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 48°27'5.4\"N, 4°15'6.3\"W", + "FINAL ANSWER: 48°27'5.4\"N, 4°15'6.3\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "La Crescenta-Montrose", + "source_format": "DMS", + "source_string": "34°13'55.8\"N, 118°14'7.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "34.232160, -118.235290", + "latitude": 34.23216, + "longitude": -118.23529 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 34°13'55.8\"N, 118°14'7.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 34.23216°", + "Step 4: Calculate longitude", + " Longitude: -118.23529°", + "FINAL ANSWER: 34.232160, -118.235290" + ] + }, + { + "task": "format_conversion", + "location_name": "Igbo-Ukwu", + "source_format": "DMS", + "source_string": "6°1'4.7\"N, 7°1'13.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "6.017980, 7.020270", + "latitude": 6.01798, + "longitude": 7.02027 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 6°1'4.7\"N, 7°1'13.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 6.01798°", + "Step 4: Calculate longitude", + " Longitude: 7.02027°", + "FINAL ANSWER: 6.017980, 7.020270" + ] + }, + { + "task": "format_conversion", + "location_name": "Jinzhou", + "source_format": "decimal_degrees", + "source_string": "39.100000, 121.716670", + "target_format": "DMS", + "ground_truth": { + "target_string": "39°6'0.0\"N, 121°43'0.0\"E", + "latitude": 39.1, + "longitude": 121.71667 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 39.100000, 121.716670", + " Latitude: 39.1°", + " Longitude: 121.71667°", + "Step 2: Convert latitude to DMS", + " Degrees = 39", + " Minutes = int((39.100000 - 39) × 60) = 6", + " Seconds = ((39.100000 - 39) × 60 - 6) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 121", + " Minutes = 43", + " Seconds = 0.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 39°6'0.0\"N, 121°43'0.0\"E", + "FINAL ANSWER: 39°6'0.0\"N, 121°43'0.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kanegasaki", + "source_format": "decimal_degrees", + "source_string": "39.200000, 141.116670", + "target_format": "DMS", + "ground_truth": { + "target_string": "39°12'0.0\"N, 141°7'0.0\"E", + "latitude": 39.2, + "longitude": 141.11667 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 39.200000, 141.116670", + " Latitude: 39.2°", + " Longitude: 141.11667°", + "Step 2: Convert latitude to DMS", + " Degrees = 39", + " Minutes = int((39.200000 - 39) × 60) = 12", + " Seconds = ((39.200000 - 39) × 60 - 12) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 141", + " Minutes = 7", + " Seconds = 0.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 39°12'0.0\"N, 141°7'0.0\"E", + "FINAL ANSWER: 39°12'0.0\"N, 141°7'0.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Portslade", + "source_format": "decimal_degrees", + "source_string": "50.842860, -0.216080", + "target_format": "DMS", + "ground_truth": { + "target_string": "50°50'34.3\"N, 0°12'57.9\"W", + "latitude": 50.84286, + "longitude": -0.21608 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 50.842860, -0.216080", + " Latitude: 50.84286°", + " Longitude: -0.21608°", + "Step 2: Convert latitude to DMS", + " Degrees = 50", + " Minutes = int((50.842860 - 50) × 60) = 50", + " Seconds = ((50.842860 - 50) × 60 - 50) × 60 = 34.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 0", + " Minutes = 12", + " Seconds = 57.9", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 50°50'34.3\"N, 0°12'57.9\"W", + "FINAL ANSWER: 50°50'34.3\"N, 0°12'57.9\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Rudrapur", + "source_format": "DMS", + "source_string": "28°58'48.0\"N, 79°24'0.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "28.980000, 79.400000", + "latitude": 28.98, + "longitude": 79.4 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 28°58'48.0\"N, 79°24'0.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 28.98°", + "Step 4: Calculate longitude", + " Longitude: 79.4°", + "FINAL ANSWER: 28.980000, 79.400000" + ] + }, + { + "task": "format_conversion", + "location_name": "Kottayam", + "source_format": "DMS", + "source_string": "9°35'12.9\"N, 76°31'16.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "9.586920, 76.521320", + "latitude": 9.58692, + "longitude": 76.52132 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 9°35'12.9\"N, 76°31'16.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 9.58692°", + "Step 4: Calculate longitude", + " Longitude: 76.52132°", + "FINAL ANSWER: 9.586920, 76.521320" + ] + }, + { + "task": "format_conversion", + "location_name": "Waterford", + "source_format": "DMS", + "source_string": "42°41'34.9\"N, 83°24'42.5\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "42.693030, -83.411810", + "latitude": 42.69303, + "longitude": -83.41181 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 42°41'34.9\"N, 83°24'42.5\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 42.69303°", + "Step 4: Calculate longitude", + " Longitude: -83.41181°", + "FINAL ANSWER: 42.693030, -83.411810" + ] + }, + { + "task": "format_conversion", + "location_name": "Ozark", + "source_format": "decimal_degrees", + "source_string": "37.020890, -93.206020", + "target_format": "DMS", + "ground_truth": { + "target_string": "37°1'15.2\"N, 93°12'21.7\"W", + "latitude": 37.02089, + "longitude": -93.20602 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 37.020890, -93.206020", + " Latitude: 37.02089°", + " Longitude: -93.20602°", + "Step 2: Convert latitude to DMS", + " Degrees = 37", + " Minutes = int((37.020890 - 37) × 60) = 1", + " Seconds = ((37.020890 - 37) × 60 - 1) × 60 = 15.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 93", + " Minutes = 12", + " Seconds = 21.7", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 37°1'15.2\"N, 93°12'21.7\"W", + "FINAL ANSWER: 37°1'15.2\"N, 93°12'21.7\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Semënovskoye", + "source_format": "decimal_degrees", + "source_string": "55.683330, 37.550000", + "target_format": "DMS", + "ground_truth": { + "target_string": "55°40'60.0\"N, 37°32'60.0\"E", + "latitude": 55.68333, + "longitude": 37.55 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 55.683330, 37.550000", + " Latitude: 55.68333°", + " Longitude: 37.55°", + "Step 2: Convert latitude to DMS", + " Degrees = 55", + " Minutes = int((55.683330 - 55) × 60) = 40", + " Seconds = ((55.683330 - 55) × 60 - 40) × 60 = 60.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 37", + " Minutes = 32", + " Seconds = 60.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 55°40'60.0\"N, 37°32'60.0\"E", + "FINAL ANSWER: 55°40'60.0\"N, 37°32'60.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Losino-Petrovskiy", + "source_format": "decimal_degrees", + "source_string": "55.870060, 38.193180", + "target_format": "DMS", + "ground_truth": { + "target_string": "55°52'12.2\"N, 38°11'35.4\"E", + "latitude": 55.87006, + "longitude": 38.19318 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 55.870060, 38.193180", + " Latitude: 55.87006°", + " Longitude: 38.19318°", + "Step 2: Convert latitude to DMS", + " Degrees = 55", + " Minutes = int((55.870060 - 55) × 60) = 52", + " Seconds = ((55.870060 - 55) × 60 - 52) × 60 = 12.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 38", + " Minutes = 11", + " Seconds = 35.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 55°52'12.2\"N, 38°11'35.4\"E", + "FINAL ANSWER: 55°52'12.2\"N, 38°11'35.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Pinhais", + "source_format": "DMS", + "source_string": "25°26'41.0\"S, 49°11'33.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-25.444720, -49.192500", + "latitude": -25.44472, + "longitude": -49.1925 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 25°26'41.0\"S, 49°11'33.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -25.44472°", + "Step 4: Calculate longitude", + " Longitude: -49.1925°", + "FINAL ANSWER: -25.444720, -49.192500" + ] + }, + { + "task": "format_conversion", + "location_name": "Saint Peters", + "source_format": "DMS", + "source_string": "51°22'0.0\"N, 1°25'0.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "51.366670, 1.416670", + "latitude": 51.36667, + "longitude": 1.41667 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 51°22'0.0\"N, 1°25'0.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 51.36667°", + "Step 4: Calculate longitude", + " Longitude: 1.41667°", + "FINAL ANSWER: 51.366670, 1.416670" + ] + }, + { + "task": "format_conversion", + "location_name": "Araçatuba", + "source_format": "decimal_degrees", + "source_string": "-21.208890, -50.432780", + "target_format": "DMS", + "ground_truth": { + "target_string": "21°12'32.0\"S, 50°25'58.0\"W", + "latitude": -21.20889, + "longitude": -50.43278 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -21.208890, -50.432780", + " Latitude: -21.20889°", + " Longitude: -50.43278°", + "Step 2: Convert latitude to DMS", + " Degrees = 21", + " Minutes = int((21.208890 - 21) × 60) = 12", + " Seconds = ((21.208890 - 21) × 60 - 12) × 60 = 32.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 50", + " Minutes = 25", + " Seconds = 58.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 21°12'32.0\"S, 50°25'58.0\"W", + "FINAL ANSWER: 21°12'32.0\"S, 50°25'58.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Maykop", + "source_format": "DMS", + "source_string": "44°36'28.4\"N, 40°6'8.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "44.607890, 40.102420", + "latitude": 44.60789, + "longitude": 40.10242 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 44°36'28.4\"N, 40°6'8.7\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 44.60789°", + "Step 4: Calculate longitude", + " Longitude: 40.10242°", + "FINAL ANSWER: 44.607890, 40.102420" + ] + }, + { + "task": "format_conversion", + "location_name": "Wittenberge", + "source_format": "DMS", + "source_string": "53°0'19.5\"N, 11°45'1.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "53.005430, 11.750320", + "latitude": 53.00543, + "longitude": 11.75032 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 53°0'19.5\"N, 11°45'1.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 53.00543°", + "Step 4: Calculate longitude", + " Longitude: 11.75032°", + "FINAL ANSWER: 53.005430, 11.750320" + ] + }, + { + "task": "format_conversion", + "location_name": "Neustrelitz", + "source_format": "decimal_degrees", + "source_string": "53.361300, 13.072920", + "target_format": "DMS", + "ground_truth": { + "target_string": "53°21'40.7\"N, 13°4'22.5\"E", + "latitude": 53.3613, + "longitude": 13.07292 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 53.361300, 13.072920", + " Latitude: 53.3613°", + " Longitude: 13.07292°", + "Step 2: Convert latitude to DMS", + " Degrees = 53", + " Minutes = int((53.361300 - 53) × 60) = 21", + " Seconds = ((53.361300 - 53) × 60 - 21) × 60 = 40.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 13", + " Minutes = 4", + " Seconds = 22.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 53°21'40.7\"N, 13°4'22.5\"E", + "FINAL ANSWER: 53°21'40.7\"N, 13°4'22.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Colina", + "source_format": "decimal_degrees", + "source_string": "-33.204430, -70.674740", + "target_format": "DMS", + "ground_truth": { + "target_string": "33°12'15.9\"S, 70°40'29.1\"W", + "latitude": -33.20443, + "longitude": -70.67474 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -33.204430, -70.674740", + " Latitude: -33.20443°", + " Longitude: -70.67474°", + "Step 2: Convert latitude to DMS", + " Degrees = 33", + " Minutes = int((33.204430 - 33) × 60) = 12", + " Seconds = ((33.204430 - 33) × 60 - 12) × 60 = 15.9", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 70", + " Minutes = 40", + " Seconds = 29.1", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 33°12'15.9\"S, 70°40'29.1\"W", + "FINAL ANSWER: 33°12'15.9\"S, 70°40'29.1\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Izalco", + "source_format": "decimal_degrees", + "source_string": "13.744720, -89.673060", + "target_format": "DMS", + "ground_truth": { + "target_string": "13°44'41.0\"N, 89°40'23.0\"W", + "latitude": 13.74472, + "longitude": -89.67306 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 13.744720, -89.673060", + " Latitude: 13.74472°", + " Longitude: -89.67306°", + "Step 2: Convert latitude to DMS", + " Degrees = 13", + " Minutes = int((13.744720 - 13) × 60) = 44", + " Seconds = ((13.744720 - 13) × 60 - 44) × 60 = 41.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 89", + " Minutes = 40", + " Seconds = 23.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 13°44'41.0\"N, 89°40'23.0\"W", + "FINAL ANSWER: 13°44'41.0\"N, 89°40'23.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Jiwani", + "source_format": "decimal_degrees", + "source_string": "25.048520, 61.745730", + "target_format": "DMS", + "ground_truth": { + "target_string": "25°2'54.7\"N, 61°44'44.6\"E", + "latitude": 25.04852, + "longitude": 61.74573 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 25.048520, 61.745730", + " Latitude: 25.04852°", + " Longitude: 61.74573°", + "Step 2: Convert latitude to DMS", + " Degrees = 25", + " Minutes = int((25.048520 - 25) × 60) = 2", + " Seconds = ((25.048520 - 25) × 60 - 2) × 60 = 54.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 61", + " Minutes = 44", + " Seconds = 44.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 25°2'54.7\"N, 61°44'44.6\"E", + "FINAL ANSWER: 25°2'54.7\"N, 61°44'44.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Laval", + "source_format": "decimal_degrees", + "source_string": "45.569950, -73.692000", + "target_format": "DMS", + "ground_truth": { + "target_string": "45°34'11.8\"N, 73°41'31.2\"W", + "latitude": 45.56995, + "longitude": -73.692 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 45.569950, -73.692000", + " Latitude: 45.56995°", + " Longitude: -73.692°", + "Step 2: Convert latitude to DMS", + " Degrees = 45", + " Minutes = int((45.569950 - 45) × 60) = 34", + " Seconds = ((45.569950 - 45) × 60 - 34) × 60 = 11.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 73", + " Minutes = 41", + " Seconds = 31.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 45°34'11.8\"N, 73°41'31.2\"W", + "FINAL ANSWER: 45°34'11.8\"N, 73°41'31.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Lumamē", + "source_format": "decimal_degrees", + "source_string": "10.250000, 37.933330", + "target_format": "DMS", + "ground_truth": { + "target_string": "10°15'0.0\"N, 37°55'60.0\"E", + "latitude": 10.25, + "longitude": 37.93333 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 10.250000, 37.933330", + " Latitude: 10.25°", + " Longitude: 37.93333°", + "Step 2: Convert latitude to DMS", + " Degrees = 10", + " Minutes = int((10.250000 - 10) × 60) = 15", + " Seconds = ((10.250000 - 10) × 60 - 15) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 37", + " Minutes = 55", + " Seconds = 60.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 10°15'0.0\"N, 37°55'60.0\"E", + "FINAL ANSWER: 10°15'0.0\"N, 37°55'60.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Tokyo", + "source_format": "decimal_degrees", + "source_string": "35.689500, 139.691710", + "target_format": "DMS", + "ground_truth": { + "target_string": "35°41'22.2\"N, 139°41'30.2\"E", + "latitude": 35.6895, + "longitude": 139.69171 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 35.689500, 139.691710", + " Latitude: 35.6895°", + " Longitude: 139.69171°", + "Step 2: Convert latitude to DMS", + " Degrees = 35", + " Minutes = int((35.689500 - 35) × 60) = 41", + " Seconds = ((35.689500 - 35) × 60 - 41) × 60 = 22.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 139", + " Minutes = 41", + " Seconds = 30.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 35°41'22.2\"N, 139°41'30.2\"E", + "FINAL ANSWER: 35°41'22.2\"N, 139°41'30.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Harstad", + "source_format": "decimal_degrees", + "source_string": "68.798330, 16.541650", + "target_format": "DMS", + "ground_truth": { + "target_string": "68°47'54.0\"N, 16°32'29.9\"E", + "latitude": 68.79833, + "longitude": 16.54165 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 68.798330, 16.541650", + " Latitude: 68.79833°", + " Longitude: 16.54165°", + "Step 2: Convert latitude to DMS", + " Degrees = 68", + " Minutes = int((68.798330 - 68) × 60) = 47", + " Seconds = ((68.798330 - 68) × 60 - 47) × 60 = 54.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 16", + " Minutes = 32", + " Seconds = 29.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 68°47'54.0\"N, 16°32'29.9\"E", + "FINAL ANSWER: 68°47'54.0\"N, 16°32'29.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Dīg", + "source_format": "DMS", + "source_string": "27°28'18.8\"N, 77°19'32.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "27.471880, 77.325640", + "latitude": 27.47188, + "longitude": 77.32564 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 27°28'18.8\"N, 77°19'32.3\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 27.47188°", + "Step 4: Calculate longitude", + " Longitude: 77.32564°", + "FINAL ANSWER: 27.471880, 77.325640" + ] + }, + { + "task": "format_conversion", + "location_name": "Meenambakkam", + "source_format": "DMS", + "source_string": "12°59'4.4\"N, 80°10'28.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "12.984560, 80.174700", + "latitude": 12.98456, + "longitude": 80.1747 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 12°59'4.4\"N, 80°10'28.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 12.98456°", + "Step 4: Calculate longitude", + " Longitude: 80.1747°", + "FINAL ANSWER: 12.984560, 80.174700" + ] + }, + { + "task": "format_conversion", + "location_name": "Pleven", + "source_format": "decimal_degrees", + "source_string": "43.417910, 24.616660", + "target_format": "DMS", + "ground_truth": { + "target_string": "43°25'4.5\"N, 24°36'60.0\"E", + "latitude": 43.41791, + "longitude": 24.61666 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 43.417910, 24.616660", + " Latitude: 43.41791°", + " Longitude: 24.61666°", + "Step 2: Convert latitude to DMS", + " Degrees = 43", + " Minutes = int((43.417910 - 43) × 60) = 25", + " Seconds = ((43.417910 - 43) × 60 - 25) × 60 = 4.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 24", + " Minutes = 36", + " Seconds = 60.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 43°25'4.5\"N, 24°36'60.0\"E", + "FINAL ANSWER: 43°25'4.5\"N, 24°36'60.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Slidell", + "source_format": "DMS", + "source_string": "30°16'30.7\"N, 89°46'52.2\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "30.275190, -89.781170", + "latitude": 30.27519, + "longitude": -89.78117 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 30°16'30.7\"N, 89°46'52.2\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 30.27519°", + "Step 4: Calculate longitude", + " Longitude: -89.78117°", + "FINAL ANSWER: 30.275190, -89.781170" + ] + }, + { + "task": "format_conversion", + "location_name": "San Lorenzo de Esmeraldas", + "source_format": "DMS", + "source_string": "1°17'10.5\"N, 78°50'6.5\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "1.286260, -78.835140", + "latitude": 1.28626, + "longitude": -78.83514 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 1°17'10.5\"N, 78°50'6.5\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 1.28626°", + "Step 4: Calculate longitude", + " Longitude: -78.83514°", + "FINAL ANSWER: 1.286260, -78.835140" + ] + }, + { + "task": "format_conversion", + "location_name": "Mohammadia", + "source_format": "decimal_degrees", + "source_string": "35.588610, 0.068610", + "target_format": "DMS", + "ground_truth": { + "target_string": "35°35'19.0\"N, 0°4'7.0\"E", + "latitude": 35.58861, + "longitude": 0.06861 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 35.588610, 0.068610", + " Latitude: 35.58861°", + " Longitude: 0.06861°", + "Step 2: Convert latitude to DMS", + " Degrees = 35", + " Minutes = int((35.588610 - 35) × 60) = 35", + " Seconds = ((35.588610 - 35) × 60 - 35) × 60 = 19.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 0", + " Minutes = 4", + " Seconds = 7.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 35°35'19.0\"N, 0°4'7.0\"E", + "FINAL ANSWER: 35°35'19.0\"N, 0°4'7.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Soest", + "source_format": "decimal_degrees", + "source_string": "51.575580, 8.106190", + "target_format": "DMS", + "ground_truth": { + "target_string": "51°34'32.1\"N, 8°6'22.3\"E", + "latitude": 51.57558, + "longitude": 8.10619 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 51.575580, 8.106190", + " Latitude: 51.57558°", + " Longitude: 8.10619°", + "Step 2: Convert latitude to DMS", + " Degrees = 51", + " Minutes = int((51.575580 - 51) × 60) = 34", + " Seconds = ((51.575580 - 51) × 60 - 34) × 60 = 32.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 8", + " Minutes = 6", + " Seconds = 22.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 51°34'32.1\"N, 8°6'22.3\"E", + "FINAL ANSWER: 51°34'32.1\"N, 8°6'22.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Maua", + "source_format": "decimal_degrees", + "source_string": "0.233200, 37.940860", + "target_format": "DMS", + "ground_truth": { + "target_string": "0°13'59.5\"N, 37°56'27.1\"E", + "latitude": 0.2332, + "longitude": 37.94086 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 0.233200, 37.940860", + " Latitude: 0.2332°", + " Longitude: 37.94086°", + "Step 2: Convert latitude to DMS", + " Degrees = 0", + " Minutes = int((0.233200 - 0) × 60) = 13", + " Seconds = ((0.233200 - 0) × 60 - 13) × 60 = 59.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 37", + " Minutes = 56", + " Seconds = 27.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 0°13'59.5\"N, 37°56'27.1\"E", + "FINAL ANSWER: 0°13'59.5\"N, 37°56'27.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "La Troncal", + "source_format": "DMS", + "source_string": "2°25'28.8\"S, 79°20'29.7\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-2.424660, -79.341590", + "latitude": -2.42466, + "longitude": -79.34159 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 2°25'28.8\"S, 79°20'29.7\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -2.42466°", + "Step 4: Calculate longitude", + " Longitude: -79.34159°", + "FINAL ANSWER: -2.424660, -79.341590" + ] + }, + { + "task": "format_conversion", + "location_name": "Sunch’ŏn", + "source_format": "DMS", + "source_string": "39°25'54.0\"N, 125°55'58.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "39.431670, 125.932780", + "latitude": 39.43167, + "longitude": 125.93278 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 39°25'54.0\"N, 125°55'58.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 39.43167°", + "Step 4: Calculate longitude", + " Longitude: 125.93278°", + "FINAL ANSWER: 39.431670, 125.932780" + ] + }, + { + "task": "format_conversion", + "location_name": "Batang", + "source_format": "DMS", + "source_string": "6°29'4.6\"S, 110°42'29.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-6.484600, 110.708300", + "latitude": -6.4846, + "longitude": 110.7083 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 6°29'4.6\"S, 110°42'29.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -6.4846°", + "Step 4: Calculate longitude", + " Longitude: 110.7083°", + "FINAL ANSWER: -6.484600, 110.708300" + ] + }, + { + "task": "format_conversion", + "location_name": "Lougheed", + "source_format": "decimal_degrees", + "source_string": "49.248100, -122.892360", + "target_format": "DMS", + "ground_truth": { + "target_string": "49°14'53.2\"N, 122°53'32.5\"W", + "latitude": 49.2481, + "longitude": -122.89236 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 49.248100, -122.892360", + " Latitude: 49.2481°", + " Longitude: -122.89236°", + "Step 2: Convert latitude to DMS", + " Degrees = 49", + " Minutes = int((49.248100 - 49) × 60) = 14", + " Seconds = ((49.248100 - 49) × 60 - 14) × 60 = 53.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 122", + " Minutes = 53", + " Seconds = 32.5", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 49°14'53.2\"N, 122°53'32.5\"W", + "FINAL ANSWER: 49°14'53.2\"N, 122°53'32.5\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Myŏnggan-dong", + "source_format": "decimal_degrees", + "source_string": "41.137220, 129.494720", + "target_format": "DMS", + "ground_truth": { + "target_string": "41°8'14.0\"N, 129°29'41.0\"E", + "latitude": 41.13722, + "longitude": 129.49472 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 41.137220, 129.494720", + " Latitude: 41.13722°", + " Longitude: 129.49472°", + "Step 2: Convert latitude to DMS", + " Degrees = 41", + " Minutes = int((41.137220 - 41) × 60) = 8", + " Seconds = ((41.137220 - 41) × 60 - 8) × 60 = 14.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 129", + " Minutes = 29", + " Seconds = 41.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 41°8'14.0\"N, 129°29'41.0\"E", + "FINAL ANSWER: 41°8'14.0\"N, 129°29'41.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kloten", + "source_format": "DD", + "source_string": "47.451520, 8.584910", + "target_format": "DMS", + "ground_truth": { + "target_string": "47°27'5.5\"N, 8°35'5.7\"E", + "latitude": 47.45152, + "longitude": 8.58491 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: 47.451520, 8.584910", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 47°27'5.5\"N, 8°35'5.7\"E", + "FINAL ANSWER: 47°27'5.5\"N, 8°35'5.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Novoul’yanovsk", + "source_format": "DMS", + "source_string": "54°8'51.9\"N, 48°23'11.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "54.147740, 48.386440", + "latitude": 54.14774, + "longitude": 48.38644 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 54°8'51.9\"N, 48°23'11.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 54.14774°", + "Step 4: Calculate longitude", + " Longitude: 48.38644°", + "FINAL ANSWER: 54.147740, 48.386440" + ] + }, + { + "task": "format_conversion", + "location_name": "Hellevoetsluis", + "source_format": "decimal_degrees", + "source_string": "51.833330, 4.133330", + "target_format": "DMS", + "ground_truth": { + "target_string": "51°49'60.0\"N, 4°7'60.0\"E", + "latitude": 51.83333, + "longitude": 4.13333 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 51.833330, 4.133330", + " Latitude: 51.83333°", + " Longitude: 4.13333°", + "Step 2: Convert latitude to DMS", + " Degrees = 51", + " Minutes = int((51.833330 - 51) × 60) = 49", + " Seconds = ((51.833330 - 51) × 60 - 49) × 60 = 60.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 4", + " Minutes = 7", + " Seconds = 60.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 51°49'60.0\"N, 4°7'60.0\"E", + "FINAL ANSWER: 51°49'60.0\"N, 4°7'60.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Mitras Poniente", + "source_format": "DMS", + "source_string": "25°46'33.0\"N, 100°25'33.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "25.775830, -100.425830", + "latitude": 25.77583, + "longitude": -100.42583 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 25°46'33.0\"N, 100°25'33.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 25.77583°", + "Step 4: Calculate longitude", + " Longitude: -100.42583°", + "FINAL ANSWER: 25.775830, -100.425830" + ] + }, + { + "task": "format_conversion", + "location_name": "Banhā", + "source_format": "decimal_degrees", + "source_string": "30.459770, 31.184200", + "target_format": "DMS", + "ground_truth": { + "target_string": "30°27'35.2\"N, 31°11'3.1\"E", + "latitude": 30.45977, + "longitude": 31.1842 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 30.459770, 31.184200", + " Latitude: 30.45977°", + " Longitude: 31.1842°", + "Step 2: Convert latitude to DMS", + " Degrees = 30", + " Minutes = int((30.459770 - 30) × 60) = 27", + " Seconds = ((30.459770 - 30) × 60 - 27) × 60 = 35.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 31", + " Minutes = 11", + " Seconds = 3.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 30°27'35.2\"N, 31°11'3.1\"E", + "FINAL ANSWER: 30°27'35.2\"N, 31°11'3.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Plettenberg Bay", + "source_format": "DMS", + "source_string": "34°3'9.9\"S, 23°22'17.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-34.052740, 23.371600", + "latitude": -34.05274, + "longitude": 23.3716 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 34°3'9.9\"S, 23°22'17.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -34.05274°", + "Step 4: Calculate longitude", + " Longitude: 23.3716°", + "FINAL ANSWER: -34.052740, 23.371600" + ] + }, + { + "task": "format_conversion", + "location_name": "Conceição da Feira", + "source_format": "DMS", + "source_string": "12°30'21.0\"S, 38°59'55.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-12.505830, -38.998610", + "latitude": -12.50583, + "longitude": -38.99861 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 12°30'21.0\"S, 38°59'55.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -12.50583°", + "Step 4: Calculate longitude", + " Longitude: -38.99861°", + "FINAL ANSWER: -12.505830, -38.998610" + ] + }, + { + "task": "format_conversion", + "location_name": "Rishon LeTsiyyon", + "source_format": "decimal_degrees", + "source_string": "31.971020, 34.789390", + "target_format": "DMS", + "ground_truth": { + "target_string": "31°58'15.7\"N, 34°47'21.8\"E", + "latitude": 31.97102, + "longitude": 34.78939 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 31.971020, 34.789390", + " Latitude: 31.97102°", + " Longitude: 34.78939°", + "Step 2: Convert latitude to DMS", + " Degrees = 31", + " Minutes = int((31.971020 - 31) × 60) = 58", + " Seconds = ((31.971020 - 31) × 60 - 58) × 60 = 15.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 34", + " Minutes = 47", + " Seconds = 21.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 31°58'15.7\"N, 34°47'21.8\"E", + "FINAL ANSWER: 31°58'15.7\"N, 34°47'21.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Schwandorf in Bayern", + "source_format": "DMS", + "source_string": "49°19'31.2\"N, 12°6'35.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "49.325340, 12.109800", + "latitude": 49.32534, + "longitude": 12.1098 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 49°19'31.2\"N, 12°6'35.3\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 49.32534°", + "Step 4: Calculate longitude", + " Longitude: 12.1098°", + "FINAL ANSWER: 49.325340, 12.109800" + ] + }, + { + "task": "format_conversion", + "location_name": "Butzbach", + "source_format": "DMS", + "source_string": "50°26'2.2\"N, 8°40'16.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "50.433950, 8.671220", + "latitude": 50.43395, + "longitude": 8.67122 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 50°26'2.2\"N, 8°40'16.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 50.43395°", + "Step 4: Calculate longitude", + " Longitude: 8.67122°", + "FINAL ANSWER: 50.433950, 8.671220" + ] + }, + { + "task": "format_conversion", + "location_name": "Yongjia", + "source_format": "DMS", + "source_string": "29°34'18.8\"N, 106°0'4.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "29.571900, 106.001340", + "latitude": 29.5719, + "longitude": 106.00134 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 29°34'18.8\"N, 106°0'4.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 29.5719°", + "Step 4: Calculate longitude", + " Longitude: 106.00134°", + "FINAL ANSWER: 29.571900, 106.001340" + ] + }, + { + "task": "format_conversion", + "location_name": "Bang Phae", + "source_format": "DMS", + "source_string": "13°41'29.7\"N, 99°55'47.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "13.691570, 99.929820", + "latitude": 13.69157, + "longitude": 99.92982 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 13°41'29.7\"N, 99°55'47.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 13.69157°", + "Step 4: Calculate longitude", + " Longitude: 99.92982°", + "FINAL ANSWER: 13.691570, 99.929820" + ] + }, + { + "task": "format_conversion", + "location_name": "Dar‘ā", + "source_format": "decimal_degrees", + "source_string": "32.618890, 36.102130", + "target_format": "DMS", + "ground_truth": { + "target_string": "32°37'8.0\"N, 36°6'7.7\"E", + "latitude": 32.61889, + "longitude": 36.10213 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 32.618890, 36.102130", + " Latitude: 32.61889°", + " Longitude: 36.10213°", + "Step 2: Convert latitude to DMS", + " Degrees = 32", + " Minutes = int((32.618890 - 32) × 60) = 37", + " Seconds = ((32.618890 - 32) × 60 - 37) × 60 = 8.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 36", + " Minutes = 6", + " Seconds = 7.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 32°37'8.0\"N, 36°6'7.7\"E", + "FINAL ANSWER: 32°37'8.0\"N, 36°6'7.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Sidoarjo", + "source_format": "decimal_degrees", + "source_string": "-7.447800, 112.718300", + "target_format": "DMS", + "ground_truth": { + "target_string": "7°26'52.1\"S, 112°43'5.9\"E", + "latitude": -7.4478, + "longitude": 112.7183 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -7.447800, 112.718300", + " Latitude: -7.4478°", + " Longitude: 112.7183°", + "Step 2: Convert latitude to DMS", + " Degrees = 7", + " Minutes = int((7.447800 - 7) × 60) = 26", + " Seconds = ((7.447800 - 7) × 60 - 26) × 60 = 52.1", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 112", + " Minutes = 43", + " Seconds = 5.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 7°26'52.1\"S, 112°43'5.9\"E", + "FINAL ANSWER: 7°26'52.1\"S, 112°43'5.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Yuqunweng", + "source_format": "DMS", + "source_string": "43°52'28.0\"N, 81°37'14.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "43.874440, 81.620560", + "latitude": 43.87444, + "longitude": 81.62056 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 43°52'28.0\"N, 81°37'14.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 43.87444°", + "Step 4: Calculate longitude", + " Longitude: 81.62056°", + "FINAL ANSWER: 43.874440, 81.620560" + ] + }, + { + "task": "format_conversion", + "location_name": "Massapequa", + "source_format": "decimal_degrees", + "source_string": "40.680660, -73.474290", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°40'50.4\"N, 73°28'27.4\"W", + "latitude": 40.68066, + "longitude": -73.47429 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.680660, -73.474290", + " Latitude: 40.68066°", + " Longitude: -73.47429°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.680660 - 40) × 60) = 40", + " Seconds = ((40.680660 - 40) × 60 - 40) × 60 = 50.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 73", + " Minutes = 28", + " Seconds = 27.4", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 40°40'50.4\"N, 73°28'27.4\"W", + "FINAL ANSWER: 40°40'50.4\"N, 73°28'27.4\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Dabeiba", + "source_format": "decimal_degrees", + "source_string": "7.000170, -76.269150", + "target_format": "DMS", + "ground_truth": { + "target_string": "7°0'0.6\"N, 76°16'8.9\"W", + "latitude": 7.00017, + "longitude": -76.26915 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 7.000170, -76.269150", + " Latitude: 7.00017°", + " Longitude: -76.26915°", + "Step 2: Convert latitude to DMS", + " Degrees = 7", + " Minutes = int((7.000170 - 7) × 60) = 0", + " Seconds = ((7.000170 - 7) × 60 - 0) × 60 = 0.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 76", + " Minutes = 16", + " Seconds = 8.9", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 7°0'0.6\"N, 76°16'8.9\"W", + "FINAL ANSWER: 7°0'0.6\"N, 76°16'8.9\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Desnogorsk", + "source_format": "decimal_degrees", + "source_string": "54.150770, 33.281510", + "target_format": "DMS", + "ground_truth": { + "target_string": "54°9'2.8\"N, 33°16'53.4\"E", + "latitude": 54.15077, + "longitude": 33.28151 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 54.150770, 33.281510", + " Latitude: 54.15077°", + " Longitude: 33.28151°", + "Step 2: Convert latitude to DMS", + " Degrees = 54", + " Minutes = int((54.150770 - 54) × 60) = 9", + " Seconds = ((54.150770 - 54) × 60 - 9) × 60 = 2.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 33", + " Minutes = 16", + " Seconds = 53.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 54°9'2.8\"N, 33°16'53.4\"E", + "FINAL ANSWER: 54°9'2.8\"N, 33°16'53.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Saiyad-ul-ajaib", + "source_format": "DMS", + "source_string": "28°31'9.2\"N, 77°12'12.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "28.519230, 77.203520", + "latitude": 28.51923, + "longitude": 77.20352 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 28°31'9.2\"N, 77°12'12.7\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 28.51923°", + "Step 4: Calculate longitude", + " Longitude: 77.20352°", + "FINAL ANSWER: 28.519230, 77.203520" + ] + }, + { + "task": "format_conversion", + "location_name": "Pescara", + "source_format": "DMS", + "source_string": "42°27'30.2\"N, 14°12'10.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "42.458400, 14.202830", + "latitude": 42.4584, + "longitude": 14.20283 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 42°27'30.2\"N, 14°12'10.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 42.4584°", + "Step 4: Calculate longitude", + " Longitude: 14.20283°", + "FINAL ANSWER: 42.458400, 14.202830" + ] + }, + { + "task": "format_conversion", + "location_name": "Portsmouth", + "source_format": "decimal_degrees", + "source_string": "38.731740, -82.997670", + "target_format": "DMS", + "ground_truth": { + "target_string": "38°43'54.3\"N, 82°59'51.6\"W", + "latitude": 38.73174, + "longitude": -82.99767 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 38.731740, -82.997670", + " Latitude: 38.73174°", + " Longitude: -82.99767°", + "Step 2: Convert latitude to DMS", + " Degrees = 38", + " Minutes = int((38.731740 - 38) × 60) = 43", + " Seconds = ((38.731740 - 38) × 60 - 43) × 60 = 54.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 82", + " Minutes = 59", + " Seconds = 51.6", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 38°43'54.3\"N, 82°59'51.6\"W", + "FINAL ANSWER: 38°43'54.3\"N, 82°59'51.6\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Tláhuac", + "source_format": "DD", + "source_string": "19.286890, -99.005070", + "target_format": "DMS", + "ground_truth": { + "target_string": "19°17'12.8\"N, 99°0'18.3\"W", + "latitude": 19.28689, + "longitude": -99.00507 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: 19.286890, -99.005070", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 19°17'12.8\"N, 99°0'18.3\"W", + "FINAL ANSWER: 19°17'12.8\"N, 99°0'18.3\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Matiari", + "source_format": "decimal_degrees", + "source_string": "25.597090, 68.446700", + "target_format": "DMS", + "ground_truth": { + "target_string": "25°35'49.5\"N, 68°26'48.1\"E", + "latitude": 25.59709, + "longitude": 68.4467 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 25.597090, 68.446700", + " Latitude: 25.59709°", + " Longitude: 68.4467°", + "Step 2: Convert latitude to DMS", + " Degrees = 25", + " Minutes = int((25.597090 - 25) × 60) = 35", + " Seconds = ((25.597090 - 25) × 60 - 35) × 60 = 49.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 68", + " Minutes = 26", + " Seconds = 48.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 25°35'49.5\"N, 68°26'48.1\"E", + "FINAL ANSWER: 25°35'49.5\"N, 68°26'48.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Stadthagen", + "source_format": "DMS", + "source_string": "52°19'24.0\"N, 9°12'11.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "52.323330, 9.203110", + "latitude": 52.32333, + "longitude": 9.20311 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 52°19'24.0\"N, 9°12'11.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 52.32333°", + "Step 4: Calculate longitude", + " Longitude: 9.20311°", + "FINAL ANSWER: 52.323330, 9.203110" + ] + }, + { + "task": "format_conversion", + "location_name": "Hanumāngarh", + "source_format": "DMS", + "source_string": "29°34'54.6\"N, 74°19'45.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "29.581820, 74.329380", + "latitude": 29.58182, + "longitude": 74.32938 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 29°34'54.6\"N, 74°19'45.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 29.58182°", + "Step 4: Calculate longitude", + " Longitude: 74.32938°", + "FINAL ANSWER: 29.581820, 74.329380" + ] + }, + { + "task": "format_conversion", + "location_name": "Xique-Xique", + "source_format": "decimal_degrees", + "source_string": "-10.822940, -42.728150", + "target_format": "DMS", + "ground_truth": { + "target_string": "10°49'22.6\"S, 42°43'41.3\"W", + "latitude": -10.82294, + "longitude": -42.72815 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -10.822940, -42.728150", + " Latitude: -10.82294°", + " Longitude: -42.72815°", + "Step 2: Convert latitude to DMS", + " Degrees = 10", + " Minutes = int((10.822940 - 10) × 60) = 49", + " Seconds = ((10.822940 - 10) × 60 - 49) × 60 = 22.6", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 42", + " Minutes = 43", + " Seconds = 41.3", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 10°49'22.6\"S, 42°43'41.3\"W", + "FINAL ANSWER: 10°49'22.6\"S, 42°43'41.3\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Vaasa", + "source_format": "DMS", + "source_string": "63°5'45.6\"N, 21°36'56.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "63.096000, 21.615770", + "latitude": 63.096, + "longitude": 21.61577 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 63°5'45.6\"N, 21°36'56.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 63.096°", + "Step 4: Calculate longitude", + " Longitude: 21.61577°", + "FINAL ANSWER: 63.096000, 21.615770" + ] + }, + { + "task": "format_conversion", + "location_name": "Bouca", + "source_format": "decimal_degrees", + "source_string": "6.507340, 18.276700", + "target_format": "DMS", + "ground_truth": { + "target_string": "6°30'26.4\"N, 18°16'36.1\"E", + "latitude": 6.50734, + "longitude": 18.2767 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 6.507340, 18.276700", + " Latitude: 6.50734°", + " Longitude: 18.2767°", + "Step 2: Convert latitude to DMS", + " Degrees = 6", + " Minutes = int((6.507340 - 6) × 60) = 30", + " Seconds = ((6.507340 - 6) × 60 - 30) × 60 = 26.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 18", + " Minutes = 16", + " Seconds = 36.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 6°30'26.4\"N, 18°16'36.1\"E", + "FINAL ANSWER: 6°30'26.4\"N, 18°16'36.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Alwar", + "source_format": "DMS", + "source_string": "27°33'44.9\"N, 76°37'30.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "27.562460, 76.625000", + "latitude": 27.56246, + "longitude": 76.625 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 27°33'44.9\"N, 76°37'30.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 27.56246°", + "Step 4: Calculate longitude", + " Longitude: 76.625°", + "FINAL ANSWER: 27.562460, 76.625000" + ] + }, + { + "task": "format_conversion", + "location_name": "Severskaya", + "source_format": "decimal_degrees", + "source_string": "44.853930, 38.679240", + "target_format": "DMS", + "ground_truth": { + "target_string": "44°51'14.1\"N, 38°40'45.3\"E", + "latitude": 44.85393, + "longitude": 38.67924 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 44.853930, 38.679240", + " Latitude: 44.85393°", + " Longitude: 38.67924°", + "Step 2: Convert latitude to DMS", + " Degrees = 44", + " Minutes = int((44.853930 - 44) × 60) = 51", + " Seconds = ((44.853930 - 44) × 60 - 51) × 60 = 14.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 38", + " Minutes = 40", + " Seconds = 45.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 44°51'14.1\"N, 38°40'45.3\"E", + "FINAL ANSWER: 44°51'14.1\"N, 38°40'45.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Koper", + "source_format": "DMS", + "source_string": "45°32'53.5\"N, 13°43'46.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "45.548200, 13.729630", + "latitude": 45.5482, + "longitude": 13.72963 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 45°32'53.5\"N, 13°43'46.7\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 45.5482°", + "Step 4: Calculate longitude", + " Longitude: 13.72963°", + "FINAL ANSWER: 45.548200, 13.729630" + ] + }, + { + "task": "format_conversion", + "location_name": "Westfield", + "source_format": "DMS", + "source_string": "40°39'32.4\"N, 74°20'50.5\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.658990, -74.347370", + "latitude": 40.65899, + "longitude": -74.34737 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°39'32.4\"N, 74°20'50.5\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 40.65899°", + "Step 4: Calculate longitude", + " Longitude: -74.34737°", + "FINAL ANSWER: 40.658990, -74.347370" + ] + }, + { + "task": "format_conversion", + "location_name": "North Lawndale", + "source_format": "decimal_degrees", + "source_string": "41.860030, -87.718390", + "target_format": "DMS", + "ground_truth": { + "target_string": "41°51'36.1\"N, 87°43'6.2\"W", + "latitude": 41.86003, + "longitude": -87.71839 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 41.860030, -87.718390", + " Latitude: 41.86003°", + " Longitude: -87.71839°", + "Step 2: Convert latitude to DMS", + " Degrees = 41", + " Minutes = int((41.860030 - 41) × 60) = 51", + " Seconds = ((41.860030 - 41) × 60 - 51) × 60 = 36.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 87", + " Minutes = 43", + " Seconds = 6.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 41°51'36.1\"N, 87°43'6.2\"W", + "FINAL ANSWER: 41°51'36.1\"N, 87°43'6.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Sainte-Marguerite", + "source_format": "DMS", + "source_string": "48°51'8.4\"N, 2°23'21.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "48.852320, 2.389320", + "latitude": 48.85232, + "longitude": 2.38932 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 48°51'8.4\"N, 2°23'21.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 48.85232°", + "Step 4: Calculate longitude", + " Longitude: 2.38932°", + "FINAL ANSWER: 48.852320, 2.389320" + ] + }, + { + "task": "format_conversion", + "location_name": "Ekangala", + "source_format": "DMS", + "source_string": "25°40'4.8\"S, 28°43'48.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-25.668000, 28.730000", + "latitude": -25.668, + "longitude": 28.73 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 25°40'4.8\"S, 28°43'48.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -25.668°", + "Step 4: Calculate longitude", + " Longitude: 28.73°", + "FINAL ANSWER: -25.668000, 28.730000" + ] + }, + { + "task": "format_conversion", + "location_name": "Echo Park", + "source_format": "DMS", + "source_string": "34°4'41.1\"N, 118°15'38.4\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "34.078080, -118.260660", + "latitude": 34.07808, + "longitude": -118.26066 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 34°4'41.1\"N, 118°15'38.4\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 34.07808°", + "Step 4: Calculate longitude", + " Longitude: -118.26066°", + "FINAL ANSWER: 34.078080, -118.260660" + ] + }, + { + "task": "format_conversion", + "location_name": "Badāmibāgh", + "source_format": "DMS", + "source_string": "34°4'25.7\"N, 74°51'9.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "34.073810, 74.852760", + "latitude": 34.07381, + "longitude": 74.85276 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 34°4'25.7\"N, 74°51'9.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 34.07381°", + "Step 4: Calculate longitude", + " Longitude: 74.85276°", + "FINAL ANSWER: 34.073810, 74.852760" + ] + }, + { + "task": "format_conversion", + "location_name": "Trostianets", + "source_format": "DMS", + "source_string": "50°29'5.2\"N, 34°57'56.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "50.484780, 34.965670", + "latitude": 50.48478, + "longitude": 34.96567 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 50°29'5.2\"N, 34°57'56.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 50.48478°", + "Step 4: Calculate longitude", + " Longitude: 34.96567°", + "FINAL ANSWER: 50.484780, 34.965670" + ] + }, + { + "task": "format_conversion", + "location_name": "Kota Tinggi", + "source_format": "DMS", + "source_string": "1°44'17.2\"N, 103°53'59.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "1.738100, 103.899900", + "latitude": 1.7381, + "longitude": 103.8999 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 1°44'17.2\"N, 103°53'59.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 1.7381°", + "Step 4: Calculate longitude", + " Longitude: 103.8999°", + "FINAL ANSWER: 1.738100, 103.899900" + ] + }, + { + "task": "format_conversion", + "location_name": "Neustadt an der Weinstraße", + "source_format": "decimal_degrees", + "source_string": "49.350090, 8.138860", + "target_format": "DMS", + "ground_truth": { + "target_string": "49°21'0.3\"N, 8°8'19.9\"E", + "latitude": 49.35009, + "longitude": 8.13886 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 49.350090, 8.138860", + " Latitude: 49.35009°", + " Longitude: 8.13886°", + "Step 2: Convert latitude to DMS", + " Degrees = 49", + " Minutes = int((49.350090 - 49) × 60) = 21", + " Seconds = ((49.350090 - 49) × 60 - 21) × 60 = 0.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 8", + " Minutes = 8", + " Seconds = 19.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 49°21'0.3\"N, 8°8'19.9\"E", + "FINAL ANSWER: 49°21'0.3\"N, 8°8'19.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Vila Nova de Gaia", + "source_format": "DMS", + "source_string": "41°7'26.4\"N, 8°36'44.7\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "41.124010, -8.612410", + "latitude": 41.12401, + "longitude": -8.61241 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 41°7'26.4\"N, 8°36'44.7\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 41.12401°", + "Step 4: Calculate longitude", + " Longitude: -8.61241°", + "FINAL ANSWER: 41.124010, -8.612410" + ] + }, + { + "task": "format_conversion", + "location_name": "Unterhaching", + "source_format": "DMS", + "source_string": "48°3'57.5\"N, 11°36'56.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "48.065980, 11.615640", + "latitude": 48.06598, + "longitude": 11.61564 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 48°3'57.5\"N, 11°36'56.3\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 48.06598°", + "Step 4: Calculate longitude", + " Longitude: 11.61564°", + "FINAL ANSWER: 48.065980, 11.615640" + ] + }, + { + "task": "format_conversion", + "location_name": "Multan", + "source_format": "decimal_degrees", + "source_string": "30.196790, 71.478240", + "target_format": "DMS", + "ground_truth": { + "target_string": "30°11'48.4\"N, 71°28'41.7\"E", + "latitude": 30.19679, + "longitude": 71.47824 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 30.196790, 71.478240", + " Latitude: 30.19679°", + " Longitude: 71.47824°", + "Step 2: Convert latitude to DMS", + " Degrees = 30", + " Minutes = int((30.196790 - 30) × 60) = 11", + " Seconds = ((30.196790 - 30) × 60 - 11) × 60 = 48.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 71", + " Minutes = 28", + " Seconds = 41.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 30°11'48.4\"N, 71°28'41.7\"E", + "FINAL ANSWER: 30°11'48.4\"N, 71°28'41.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Uerdingen", + "source_format": "decimal_degrees", + "source_string": "51.354780, 6.639180", + "target_format": "DMS", + "ground_truth": { + "target_string": "51°21'17.2\"N, 6°38'21.0\"E", + "latitude": 51.35478, + "longitude": 6.63918 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 51.354780, 6.639180", + " Latitude: 51.35478°", + " Longitude: 6.63918°", + "Step 2: Convert latitude to DMS", + " Degrees = 51", + " Minutes = int((51.354780 - 51) × 60) = 21", + " Seconds = ((51.354780 - 51) × 60 - 21) × 60 = 17.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 6", + " Minutes = 38", + " Seconds = 21.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 51°21'17.2\"N, 6°38'21.0\"E", + "FINAL ANSWER: 51°21'17.2\"N, 6°38'21.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Campestre", + "source_format": "decimal_degrees", + "source_string": "-21.711110, -46.246390", + "target_format": "DMS", + "ground_truth": { + "target_string": "21°42'40.0\"S, 46°14'47.0\"W", + "latitude": -21.71111, + "longitude": -46.24639 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -21.711110, -46.246390", + " Latitude: -21.71111°", + " Longitude: -46.24639°", + "Step 2: Convert latitude to DMS", + " Degrees = 21", + " Minutes = int((21.711110 - 21) × 60) = 42", + " Seconds = ((21.711110 - 21) × 60 - 42) × 60 = 40.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 46", + " Minutes = 14", + " Seconds = 47.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 21°42'40.0\"S, 46°14'47.0\"W", + "FINAL ANSWER: 21°42'40.0\"S, 46°14'47.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Troy", + "source_format": "DMS", + "source_string": "42°36'20.1\"N, 83°8'59.7\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "42.605590, -83.149930", + "latitude": 42.60559, + "longitude": -83.14993 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 42°36'20.1\"N, 83°8'59.7\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 42.60559°", + "Step 4: Calculate longitude", + " Longitude: -83.14993°", + "FINAL ANSWER: 42.605590, -83.149930" + ] + }, + { + "task": "format_conversion", + "location_name": "Port Hueneme", + "source_format": "decimal_degrees", + "source_string": "34.147780, -119.195110", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°8'52.0\"N, 119°11'42.4\"W", + "latitude": 34.14778, + "longitude": -119.19511 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 34.147780, -119.195110", + " Latitude: 34.14778°", + " Longitude: -119.19511°", + "Step 2: Convert latitude to DMS", + " Degrees = 34", + " Minutes = int((34.147780 - 34) × 60) = 8", + " Seconds = ((34.147780 - 34) × 60 - 8) × 60 = 52.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 119", + " Minutes = 11", + " Seconds = 42.4", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 34°8'52.0\"N, 119°11'42.4\"W", + "FINAL ANSWER: 34°8'52.0\"N, 119°11'42.4\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Izobil’nyy", + "source_format": "decimal_degrees", + "source_string": "45.366530, 41.709100", + "target_format": "DMS", + "ground_truth": { + "target_string": "45°21'59.5\"N, 41°42'32.8\"E", + "latitude": 45.36653, + "longitude": 41.7091 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 45.366530, 41.709100", + " Latitude: 45.36653°", + " Longitude: 41.7091°", + "Step 2: Convert latitude to DMS", + " Degrees = 45", + " Minutes = int((45.366530 - 45) × 60) = 21", + " Seconds = ((45.366530 - 45) × 60 - 21) × 60 = 59.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 41", + " Minutes = 42", + " Seconds = 32.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 45°21'59.5\"N, 41°42'32.8\"E", + "FINAL ANSWER: 45°21'59.5\"N, 41°42'32.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Zonhoven", + "source_format": "DMS", + "source_string": "50°59'26.3\"N, 5°22'5.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "50.990640, 5.368190", + "latitude": 50.99064, + "longitude": 5.36819 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 50°59'26.3\"N, 5°22'5.5\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 50.99064°", + "Step 4: Calculate longitude", + " Longitude: 5.36819°", + "FINAL ANSWER: 50.990640, 5.368190" + ] + }, + { + "task": "format_conversion", + "location_name": "Xiannü", + "source_format": "decimal_degrees", + "source_string": "32.428060, 119.560480", + "target_format": "DMS", + "ground_truth": { + "target_string": "32°25'41.0\"N, 119°33'37.7\"E", + "latitude": 32.42806, + "longitude": 119.56048 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 32.428060, 119.560480", + " Latitude: 32.42806°", + " Longitude: 119.56048°", + "Step 2: Convert latitude to DMS", + " Degrees = 32", + " Minutes = int((32.428060 - 32) × 60) = 25", + " Seconds = ((32.428060 - 32) × 60 - 25) × 60 = 41.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 119", + " Minutes = 33", + " Seconds = 37.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 32°25'41.0\"N, 119°33'37.7\"E", + "FINAL ANSWER: 32°25'41.0\"N, 119°33'37.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Katy", + "source_format": "DMS", + "source_string": "29°47'8.8\"N, 95°49'27.8\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "29.785790, -95.824400", + "latitude": 29.78579, + "longitude": -95.8244 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 29°47'8.8\"N, 95°49'27.8\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 29.78579°", + "Step 4: Calculate longitude", + " Longitude: -95.8244°", + "FINAL ANSWER: 29.785790, -95.824400" + ] + }, + { + "task": "format_conversion", + "location_name": "Khed", + "source_format": "decimal_degrees", + "source_string": "17.718880, 73.396930", + "target_format": "DMS", + "ground_truth": { + "target_string": "17°43'8.0\"N, 73°23'48.9\"E", + "latitude": 17.71888, + "longitude": 73.39693 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 17.718880, 73.396930", + " Latitude: 17.71888°", + " Longitude: 73.39693°", + "Step 2: Convert latitude to DMS", + " Degrees = 17", + " Minutes = int((17.718880 - 17) × 60) = 43", + " Seconds = ((17.718880 - 17) × 60 - 43) × 60 = 8.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 73", + " Minutes = 23", + " Seconds = 48.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 17°43'8.0\"N, 73°23'48.9\"E", + "FINAL ANSWER: 17°43'8.0\"N, 73°23'48.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Matui", + "source_format": "DMS", + "source_string": "4°47'60.0\"S, 38°15'0.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-4.800000, 38.250000", + "latitude": -4.8, + "longitude": 38.25 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 4°47'60.0\"S, 38°15'0.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -4.8°", + "Step 4: Calculate longitude", + " Longitude: 38.25°", + "FINAL ANSWER: -4.800000, 38.250000" + ] + }, + { + "task": "format_conversion", + "location_name": "Highland", + "source_format": "decimal_degrees", + "source_string": "34.128340, -117.208650", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°7'42.0\"N, 117°12'31.1\"W", + "latitude": 34.12834, + "longitude": -117.20865 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 34.128340, -117.208650", + " Latitude: 34.12834°", + " Longitude: -117.20865°", + "Step 2: Convert latitude to DMS", + " Degrees = 34", + " Minutes = int((34.128340 - 34) × 60) = 7", + " Seconds = ((34.128340 - 34) × 60 - 7) × 60 = 42.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 117", + " Minutes = 12", + " Seconds = 31.1", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 34°7'42.0\"N, 117°12'31.1\"W", + "FINAL ANSWER: 34°7'42.0\"N, 117°12'31.1\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Kushima", + "source_format": "DMS", + "source_string": "31°29'10.4\"N, 131°14'31.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "31.486210, 131.242100", + "latitude": 31.48621, + "longitude": 131.2421 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 31°29'10.4\"N, 131°14'31.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 31.48621°", + "Step 4: Calculate longitude", + " Longitude: 131.2421°", + "FINAL ANSWER: 31.486210, 131.242100" + ] + }, + { + "task": "format_conversion", + "location_name": "Heba", + "source_format": "DMS", + "source_string": "33°56'10.5\"N, 105°12'58.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "33.936240, 105.216250", + "latitude": 33.93624, + "longitude": 105.21625 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 33°56'10.5\"N, 105°12'58.5\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 33.93624°", + "Step 4: Calculate longitude", + " Longitude: 105.21625°", + "FINAL ANSWER: 33.936240, 105.216250" + ] + }, + { + "task": "format_conversion", + "location_name": "La Plata", + "source_format": "decimal_degrees", + "source_string": "-34.921260, -57.954420", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°55'16.5\"S, 57°57'15.9\"W", + "latitude": -34.92126, + "longitude": -57.95442 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -34.921260, -57.954420", + " Latitude: -34.92126°", + " Longitude: -57.95442°", + "Step 2: Convert latitude to DMS", + " Degrees = 34", + " Minutes = int((34.921260 - 34) × 60) = 55", + " Seconds = ((34.921260 - 34) × 60 - 55) × 60 = 16.5", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 57", + " Minutes = 57", + " Seconds = 15.9", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 34°55'16.5\"S, 57°57'15.9\"W", + "FINAL ANSWER: 34°55'16.5\"S, 57°57'15.9\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Černý Most", + "source_format": "DMS", + "source_string": "50°6'17.1\"N, 14°34'47.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "50.104750, 14.579740", + "latitude": 50.10475, + "longitude": 14.57974 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 50°6'17.1\"N, 14°34'47.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 50.10475°", + "Step 4: Calculate longitude", + " Longitude: 14.57974°", + "FINAL ANSWER: 50.104750, 14.579740" + ] + }, + { + "task": "format_conversion", + "location_name": "Esenyurt", + "source_format": "DD", + "source_string": "41.026970, 28.677320", + "target_format": "DMS", + "ground_truth": { + "target_string": "41°1'37.1\"N, 28°40'38.4\"E", + "latitude": 41.02697, + "longitude": 28.67732 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: 41.026970, 28.677320", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 41°1'37.1\"N, 28°40'38.4\"E", + "FINAL ANSWER: 41°1'37.1\"N, 28°40'38.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Gudermes", + "source_format": "decimal_degrees", + "source_string": "43.350820, 46.100950", + "target_format": "DMS", + "ground_truth": { + "target_string": "43°21'3.0\"N, 46°6'3.4\"E", + "latitude": 43.35082, + "longitude": 46.10095 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 43.350820, 46.100950", + " Latitude: 43.35082°", + " Longitude: 46.10095°", + "Step 2: Convert latitude to DMS", + " Degrees = 43", + " Minutes = int((43.350820 - 43) × 60) = 21", + " Seconds = ((43.350820 - 43) × 60 - 21) × 60 = 3.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 46", + " Minutes = 6", + " Seconds = 3.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 43°21'3.0\"N, 46°6'3.4\"E", + "FINAL ANSWER: 43°21'3.0\"N, 46°6'3.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Adachi", + "source_format": "DMS", + "source_string": "35°45'47.4\"N, 139°48'27.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "35.763180, 139.807610", + "latitude": 35.76318, + "longitude": 139.80761 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 35°45'47.4\"N, 139°48'27.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 35.76318°", + "Step 4: Calculate longitude", + " Longitude: 139.80761°", + "FINAL ANSWER: 35.763180, 139.807610" + ] + }, + { + "task": "format_conversion", + "location_name": "Nova Santa Rita", + "source_format": "DMS", + "source_string": "29°51'7.9\"S, 51°16'37.1\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-29.852200, -51.276960", + "latitude": -29.8522, + "longitude": -51.27696 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 29°51'7.9\"S, 51°16'37.1\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -29.8522°", + "Step 4: Calculate longitude", + " Longitude: -51.27696°", + "FINAL ANSWER: -29.852200, -51.276960" + ] + }, + { + "task": "format_conversion", + "location_name": "Kothanallur", + "source_format": "DMS", + "source_string": "8°16'44.8\"N, 77°18'34.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "8.279110, 77.309580", + "latitude": 8.27911, + "longitude": 77.30958 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 8°16'44.8\"N, 77°18'34.5\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 8.27911°", + "Step 4: Calculate longitude", + " Longitude: 77.30958°", + "FINAL ANSWER: 8.279110, 77.309580" + ] + }, + { + "task": "format_conversion", + "location_name": "Gan Yavne", + "source_format": "DMS", + "source_string": "31°47'14.5\"N, 34°42'23.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "31.787370, 34.706590", + "latitude": 31.78737, + "longitude": 34.70659 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 31°47'14.5\"N, 34°42'23.7\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 31.78737°", + "Step 4: Calculate longitude", + " Longitude: 34.70659°", + "FINAL ANSWER: 31.787370, 34.706590" + ] + }, + { + "task": "format_conversion", + "location_name": "New Milford", + "source_format": "decimal_degrees", + "source_string": "40.935100, -74.019030", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°56'6.4\"N, 74°1'8.5\"W", + "latitude": 40.9351, + "longitude": -74.01903 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.935100, -74.019030", + " Latitude: 40.9351°", + " Longitude: -74.01903°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.935100 - 40) × 60) = 56", + " Seconds = ((40.935100 - 40) × 60 - 56) × 60 = 6.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 74", + " Minutes = 1", + " Seconds = 8.5", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 40°56'6.4\"N, 74°1'8.5\"W", + "FINAL ANSWER: 40°56'6.4\"N, 74°1'8.5\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Kyathampalle", + "source_format": "DMS", + "source_string": "19°40'4.1\"N, 78°31'44.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "19.667810, 78.528900", + "latitude": 19.66781, + "longitude": 78.5289 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 19°40'4.1\"N, 78°31'44.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 19.66781°", + "Step 4: Calculate longitude", + " Longitude: 78.5289°", + "FINAL ANSWER: 19.667810, 78.528900" + ] + }, + { + "task": "format_conversion", + "location_name": "Kāgal", + "source_format": "decimal_degrees", + "source_string": "16.577020, 74.315440", + "target_format": "DMS", + "ground_truth": { + "target_string": "16°34'37.3\"N, 74°18'55.6\"E", + "latitude": 16.57702, + "longitude": 74.31544 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 16.577020, 74.315440", + " Latitude: 16.57702°", + " Longitude: 74.31544°", + "Step 2: Convert latitude to DMS", + " Degrees = 16", + " Minutes = int((16.577020 - 16) × 60) = 34", + " Seconds = ((16.577020 - 16) × 60 - 34) × 60 = 37.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 74", + " Minutes = 18", + " Seconds = 55.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 16°34'37.3\"N, 74°18'55.6\"E", + "FINAL ANSWER: 16°34'37.3\"N, 74°18'55.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Mozambique", + "source_format": "DMS", + "source_string": "15°2'4.8\"S, 40°44'4.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-15.034660, 40.734470", + "latitude": -15.03466, + "longitude": 40.73447 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 15°2'4.8\"S, 40°44'4.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -15.03466°", + "Step 4: Calculate longitude", + " Longitude: 40.73447°", + "FINAL ANSWER: -15.034660, 40.734470" + ] + }, + { + "task": "format_conversion", + "location_name": "Nu‘ayjah", + "source_format": "decimal_degrees", + "source_string": "25.246170, 51.532270", + "target_format": "DMS", + "ground_truth": { + "target_string": "25°14'46.2\"N, 51°31'56.2\"E", + "latitude": 25.24617, + "longitude": 51.53227 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 25.246170, 51.532270", + " Latitude: 25.24617°", + " Longitude: 51.53227°", + "Step 2: Convert latitude to DMS", + " Degrees = 25", + " Minutes = int((25.246170 - 25) × 60) = 14", + " Seconds = ((25.246170 - 25) × 60 - 14) × 60 = 46.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 51", + " Minutes = 31", + " Seconds = 56.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 25°14'46.2\"N, 51°31'56.2\"E", + "FINAL ANSWER: 25°14'46.2\"N, 51°31'56.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Groves", + "source_format": "decimal_degrees", + "source_string": "29.948270, -93.917120", + "target_format": "DMS", + "ground_truth": { + "target_string": "29°56'53.8\"N, 93°55'1.6\"W", + "latitude": 29.94827, + "longitude": -93.91712 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 29.948270, -93.917120", + " Latitude: 29.94827°", + " Longitude: -93.91712°", + "Step 2: Convert latitude to DMS", + " Degrees = 29", + " Minutes = int((29.948270 - 29) × 60) = 56", + " Seconds = ((29.948270 - 29) × 60 - 56) × 60 = 53.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 93", + " Minutes = 55", + " Seconds = 1.6", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 29°56'53.8\"N, 93°55'1.6\"W", + "FINAL ANSWER: 29°56'53.8\"N, 93°55'1.6\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Lālpur", + "source_format": "decimal_degrees", + "source_string": "22.190730, 69.963510", + "target_format": "DMS", + "ground_truth": { + "target_string": "22°11'26.6\"N, 69°57'48.6\"E", + "latitude": 22.19073, + "longitude": 69.96351 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 22.190730, 69.963510", + " Latitude: 22.19073°", + " Longitude: 69.96351°", + "Step 2: Convert latitude to DMS", + " Degrees = 22", + " Minutes = int((22.190730 - 22) × 60) = 11", + " Seconds = ((22.190730 - 22) × 60 - 11) × 60 = 26.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 69", + " Minutes = 57", + " Seconds = 48.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 22°11'26.6\"N, 69°57'48.6\"E", + "FINAL ANSWER: 22°11'26.6\"N, 69°57'48.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Bunbury", + "source_format": "decimal_degrees", + "source_string": "-33.327110, 115.641370", + "target_format": "DMS", + "ground_truth": { + "target_string": "33°19'37.6\"S, 115°38'28.9\"E", + "latitude": -33.32711, + "longitude": 115.64137 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -33.327110, 115.641370", + " Latitude: -33.32711°", + " Longitude: 115.64137°", + "Step 2: Convert latitude to DMS", + " Degrees = 33", + " Minutes = int((33.327110 - 33) × 60) = 19", + " Seconds = ((33.327110 - 33) × 60 - 19) × 60 = 37.6", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 115", + " Minutes = 38", + " Seconds = 28.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 33°19'37.6\"S, 115°38'28.9\"E", + "FINAL ANSWER: 33°19'37.6\"S, 115°38'28.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Raisen", + "source_format": "DD", + "source_string": "23.330330, 77.781100", + "target_format": "DMS", + "ground_truth": { + "target_string": "23°19'49.2\"N, 77°46'52.0\"E", + "latitude": 23.33033, + "longitude": 77.7811 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: 23.330330, 77.781100", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 23°19'49.2\"N, 77°46'52.0\"E", + "FINAL ANSWER: 23°19'49.2\"N, 77°46'52.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kenilworth", + "source_format": "decimal_degrees", + "source_string": "52.349580, -1.582760", + "target_format": "DMS", + "ground_truth": { + "target_string": "52°20'58.5\"N, 1°34'57.9\"W", + "latitude": 52.34958, + "longitude": -1.58276 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 52.349580, -1.582760", + " Latitude: 52.34958°", + " Longitude: -1.58276°", + "Step 2: Convert latitude to DMS", + " Degrees = 52", + " Minutes = int((52.349580 - 52) × 60) = 20", + " Seconds = ((52.349580 - 52) × 60 - 20) × 60 = 58.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 1", + " Minutes = 34", + " Seconds = 57.9", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 52°20'58.5\"N, 1°34'57.9\"W", + "FINAL ANSWER: 52°20'58.5\"N, 1°34'57.9\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Welingara", + "source_format": "DMS", + "source_string": "13°24'13.0\"N, 16°40'25.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "13.403610, -16.673610", + "latitude": 13.40361, + "longitude": -16.67361 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 13°24'13.0\"N, 16°40'25.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 13.40361°", + "Step 4: Calculate longitude", + " Longitude: -16.67361°", + "FINAL ANSWER: 13.403610, -16.673610" + ] + }, + { + "task": "format_conversion", + "location_name": "Robīt", + "source_format": "DMS", + "source_string": "12°1'0.0\"N, 39°37'60.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "12.016670, 39.633330", + "latitude": 12.01667, + "longitude": 39.63333 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 12°1'0.0\"N, 39°37'60.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 12.01667°", + "Step 4: Calculate longitude", + " Longitude: 39.63333°", + "FINAL ANSWER: 12.016670, 39.633330" + ] + }, + { + "task": "format_conversion", + "location_name": "Russeifa", + "source_format": "decimal_degrees", + "source_string": "32.017780, 36.046390", + "target_format": "DMS", + "ground_truth": { + "target_string": "32°1'4.0\"N, 36°2'47.0\"E", + "latitude": 32.01778, + "longitude": 36.04639 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 32.017780, 36.046390", + " Latitude: 32.01778°", + " Longitude: 36.04639°", + "Step 2: Convert latitude to DMS", + " Degrees = 32", + " Minutes = int((32.017780 - 32) × 60) = 1", + " Seconds = ((32.017780 - 32) × 60 - 1) × 60 = 4.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 36", + " Minutes = 2", + " Seconds = 47.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 32°1'4.0\"N, 36°2'47.0\"E", + "FINAL ANSWER: 32°1'4.0\"N, 36°2'47.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Stamford", + "source_format": "DMS", + "source_string": "41°3'12.3\"N, 73°32'19.4\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "41.053430, -73.538730", + "latitude": 41.05343, + "longitude": -73.53873 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 41°3'12.3\"N, 73°32'19.4\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 41.05343°", + "Step 4: Calculate longitude", + " Longitude: -73.53873°", + "FINAL ANSWER: 41.053430, -73.538730" + ] + }, + { + "task": "format_conversion", + "location_name": "Zutphen", + "source_format": "DMS", + "source_string": "52°8'18.0\"N, 6°12'5.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "52.138330, 6.201390", + "latitude": 52.13833, + "longitude": 6.20139 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 52°8'18.0\"N, 6°12'5.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 52.13833°", + "Step 4: Calculate longitude", + " Longitude: 6.20139°", + "FINAL ANSWER: 52.138330, 6.201390" + ] + }, + { + "task": "format_conversion", + "location_name": "Kyzylorda", + "source_format": "decimal_degrees", + "source_string": "44.852780, 65.509170", + "target_format": "DMS", + "ground_truth": { + "target_string": "44°51'10.0\"N, 65°30'33.0\"E", + "latitude": 44.85278, + "longitude": 65.50917 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 44.852780, 65.509170", + " Latitude: 44.85278°", + " Longitude: 65.50917°", + "Step 2: Convert latitude to DMS", + " Degrees = 44", + " Minutes = int((44.852780 - 44) × 60) = 51", + " Seconds = ((44.852780 - 44) × 60 - 51) × 60 = 10.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 65", + " Minutes = 30", + " Seconds = 33.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 44°51'10.0\"N, 65°30'33.0\"E", + "FINAL ANSWER: 44°51'10.0\"N, 65°30'33.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Manglai", + "source_format": "decimal_degrees", + "source_string": "37.275160, 79.678070", + "target_format": "DMS", + "ground_truth": { + "target_string": "37°16'30.6\"N, 79°40'41.1\"E", + "latitude": 37.27516, + "longitude": 79.67807 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 37.275160, 79.678070", + " Latitude: 37.27516°", + " Longitude: 79.67807°", + "Step 2: Convert latitude to DMS", + " Degrees = 37", + " Minutes = int((37.275160 - 37) × 60) = 16", + " Seconds = ((37.275160 - 37) × 60 - 16) × 60 = 30.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 79", + " Minutes = 40", + " Seconds = 41.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 37°16'30.6\"N, 79°40'41.1\"E", + "FINAL ANSWER: 37°16'30.6\"N, 79°40'41.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Jamnagar", + "source_format": "DMS", + "source_string": "22°28'22.5\"N, 70°4'0.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "22.472920, 70.066730", + "latitude": 22.47292, + "longitude": 70.06673 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 22°28'22.5\"N, 70°4'0.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 22.47292°", + "Step 4: Calculate longitude", + " Longitude: 70.06673°", + "FINAL ANSWER: 22.472920, 70.066730" + ] + }, + { + "task": "format_conversion", + "location_name": "Kodamachō-kodamaminami", + "source_format": "DMS", + "source_string": "36°11'5.9\"N, 139°7'54.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "36.184970, 139.131910", + "latitude": 36.18497, + "longitude": 139.13191 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 36°11'5.9\"N, 139°7'54.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 36.18497°", + "Step 4: Calculate longitude", + " Longitude: 139.13191°", + "FINAL ANSWER: 36.184970, 139.131910" + ] + }, + { + "task": "format_conversion", + "location_name": "Tychy", + "source_format": "DMS", + "source_string": "50°8'13.8\"N, 18°57'59.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "50.137170, 18.966410", + "latitude": 50.13717, + "longitude": 18.96641 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 50°8'13.8\"N, 18°57'59.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 50.13717°", + "Step 4: Calculate longitude", + " Longitude: 18.96641°", + "FINAL ANSWER: 50.137170, 18.966410" + ] + }, + { + "task": "format_conversion", + "location_name": "Bhor", + "source_format": "DMS", + "source_string": "18°8'55.0\"N, 73°50'36.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "18.148610, 73.843360", + "latitude": 18.14861, + "longitude": 73.84336 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 18°8'55.0\"N, 73°50'36.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 18.14861°", + "Step 4: Calculate longitude", + " Longitude: 73.84336°", + "FINAL ANSWER: 18.148610, 73.843360" + ] + }, + { + "task": "format_conversion", + "location_name": "Roth", + "source_format": "DMS", + "source_string": "49°14'51.4\"N, 11°5'28.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "49.247620, 11.091110", + "latitude": 49.24762, + "longitude": 11.09111 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 49°14'51.4\"N, 11°5'28.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 49.24762°", + "Step 4: Calculate longitude", + " Longitude: 11.09111°", + "FINAL ANSWER: 49.247620, 11.091110" + ] + }, + { + "task": "format_conversion", + "location_name": "Dimbokro", + "source_format": "DMS", + "source_string": "6°38'48.4\"N, 4°42'18.7\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "6.646780, -4.705190", + "latitude": 6.64678, + "longitude": -4.70519 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 6°38'48.4\"N, 4°42'18.7\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 6.64678°", + "Step 4: Calculate longitude", + " Longitude: -4.70519°", + "FINAL ANSWER: 6.646780, -4.705190" + ] + }, + { + "task": "format_conversion", + "location_name": "Huambo", + "source_format": "decimal_degrees", + "source_string": "-12.776110, 15.739170", + "target_format": "DMS", + "ground_truth": { + "target_string": "12°46'34.0\"S, 15°44'21.0\"E", + "latitude": -12.77611, + "longitude": 15.73917 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -12.776110, 15.739170", + " Latitude: -12.77611°", + " Longitude: 15.73917°", + "Step 2: Convert latitude to DMS", + " Degrees = 12", + " Minutes = int((12.776110 - 12) × 60) = 46", + " Seconds = ((12.776110 - 12) × 60 - 46) × 60 = 34.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 15", + " Minutes = 44", + " Seconds = 21.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 12°46'34.0\"S, 15°44'21.0\"E", + "FINAL ANSWER: 12°46'34.0\"S, 15°44'21.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Mezgor'e", + "source_format": "DMS", + "source_string": "54°2'59.1\"N, 57°49'1.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "54.049760, 57.817130", + "latitude": 54.04976, + "longitude": 57.81713 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 54°2'59.1\"N, 57°49'1.7\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 54.04976°", + "Step 4: Calculate longitude", + " Longitude: 57.81713°", + "FINAL ANSWER: 54.049760, 57.817130" + ] + }, + { + "task": "format_conversion", + "location_name": "Tanfang", + "source_format": "DMS", + "source_string": "36°41'59.2\"N, 118°40'15.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "36.699770, 118.670870", + "latitude": 36.69977, + "longitude": 118.67087 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 36°41'59.2\"N, 118°40'15.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 36.69977°", + "Step 4: Calculate longitude", + " Longitude: 118.67087°", + "FINAL ANSWER: 36.699770, 118.670870" + ] + }, + { + "task": "format_conversion", + "location_name": "Jaboatão dos Guararapes", + "source_format": "decimal_degrees", + "source_string": "-8.112780, -35.014720", + "target_format": "DMS", + "ground_truth": { + "target_string": "8°6'46.0\"S, 35°0'53.0\"W", + "latitude": -8.11278, + "longitude": -35.01472 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -8.112780, -35.014720", + " Latitude: -8.11278°", + " Longitude: -35.01472°", + "Step 2: Convert latitude to DMS", + " Degrees = 8", + " Minutes = int((8.112780 - 8) × 60) = 6", + " Seconds = ((8.112780 - 8) × 60 - 6) × 60 = 46.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 35", + " Minutes = 0", + " Seconds = 53.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 8°6'46.0\"S, 35°0'53.0\"W", + "FINAL ANSWER: 8°6'46.0\"S, 35°0'53.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Novi Ligure", + "source_format": "DMS", + "source_string": "44°45'44.9\"N, 8°47'13.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "44.762460, 8.787000", + "latitude": 44.76246, + "longitude": 8.787 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 44°45'44.9\"N, 8°47'13.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 44.76246°", + "Step 4: Calculate longitude", + " Longitude: 8.787°", + "FINAL ANSWER: 44.762460, 8.787000" + ] + }, + { + "task": "format_conversion", + "location_name": "Arix", + "source_format": "decimal_degrees", + "source_string": "36.755410, 81.607650", + "target_format": "DMS", + "ground_truth": { + "target_string": "36°45'19.5\"N, 81°36'27.5\"E", + "latitude": 36.75541, + "longitude": 81.60765 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 36.755410, 81.607650", + " Latitude: 36.75541°", + " Longitude: 81.60765°", + "Step 2: Convert latitude to DMS", + " Degrees = 36", + " Minutes = int((36.755410 - 36) × 60) = 45", + " Seconds = ((36.755410 - 36) × 60 - 45) × 60 = 19.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 81", + " Minutes = 36", + " Seconds = 27.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 36°45'19.5\"N, 81°36'27.5\"E", + "FINAL ANSWER: 36°45'19.5\"N, 81°36'27.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Camaragibe", + "source_format": "DMS", + "source_string": "8°1'18.0\"S, 34°58'52.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-8.021670, -34.981110", + "latitude": -8.02167, + "longitude": -34.98111 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 8°1'18.0\"S, 34°58'52.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -8.02167°", + "Step 4: Calculate longitude", + " Longitude: -34.98111°", + "FINAL ANSWER: -8.021670, -34.981110" + ] + }, + { + "task": "format_conversion", + "location_name": "Maralal", + "source_format": "DD", + "source_string": "1.096670, 36.698060", + "target_format": "DMS", + "ground_truth": { + "target_string": "1°5'48.0\"N, 36°41'53.0\"E", + "latitude": 1.09667, + "longitude": 36.69806 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: 1.096670, 36.698060", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 1°5'48.0\"N, 36°41'53.0\"E", + "FINAL ANSWER: 1°5'48.0\"N, 36°41'53.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Mangaluru", + "source_format": "DMS", + "source_string": "12°55'2.0\"N, 74°51'21.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "12.917230, 74.856030", + "latitude": 12.91723, + "longitude": 74.85603 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 12°55'2.0\"N, 74°51'21.7\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 12.91723°", + "Step 4: Calculate longitude", + " Longitude: 74.85603°", + "FINAL ANSWER: 12.917230, 74.856030" + ] + }, + { + "task": "format_conversion", + "location_name": "Tacámbaro de Codallos", + "source_format": "DMS", + "source_string": "19°14'6.1\"N, 101°27'29.7\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "19.235020, -101.458240", + "latitude": 19.23502, + "longitude": -101.45824 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 19°14'6.1\"N, 101°27'29.7\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 19.23502°", + "Step 4: Calculate longitude", + " Longitude: -101.45824°", + "FINAL ANSWER: 19.235020, -101.458240" + ] + }, + { + "task": "format_conversion", + "location_name": "Tianfu", + "source_format": "DMS", + "source_string": "37°15'49.2\"N, 122°3'8.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "37.263660, 122.052280", + "latitude": 37.26366, + "longitude": 122.05228 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 37°15'49.2\"N, 122°3'8.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 37.26366°", + "Step 4: Calculate longitude", + " Longitude: 122.05228°", + "FINAL ANSWER: 37.263660, 122.052280" + ] + }, + { + "task": "format_conversion", + "location_name": "Sukhoy Log", + "source_format": "DMS", + "source_string": "56°54'30.0\"N, 62°2'3.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "56.908320, 62.034330", + "latitude": 56.90832, + "longitude": 62.03433 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 56°54'30.0\"N, 62°2'3.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 56.90832°", + "Step 4: Calculate longitude", + " Longitude: 62.03433°", + "FINAL ANSWER: 56.908320, 62.034330" + ] + }, + { + "task": "format_conversion", + "location_name": "Riverdale", + "source_format": "decimal_degrees", + "source_string": "33.572610, -84.413260", + "target_format": "DMS", + "ground_truth": { + "target_string": "33°34'21.4\"N, 84°24'47.7\"W", + "latitude": 33.57261, + "longitude": -84.41326 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 33.572610, -84.413260", + " Latitude: 33.57261°", + " Longitude: -84.41326°", + "Step 2: Convert latitude to DMS", + " Degrees = 33", + " Minutes = int((33.572610 - 33) × 60) = 34", + " Seconds = ((33.572610 - 33) × 60 - 34) × 60 = 21.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 84", + " Minutes = 24", + " Seconds = 47.7", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 33°34'21.4\"N, 84°24'47.7\"W", + "FINAL ANSWER: 33°34'21.4\"N, 84°24'47.7\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Dagana", + "source_format": "DMS", + "source_string": "16°28'36.0\"N, 15°35'60.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "16.476670, -15.600000", + "latitude": 16.47667, + "longitude": -15.6 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 16°28'36.0\"N, 15°35'60.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 16.47667°", + "Step 4: Calculate longitude", + " Longitude: -15.6°", + "FINAL ANSWER: 16.476670, -15.600000" + ] + }, + { + "task": "format_conversion", + "location_name": "Mala", + "source_format": "decimal_degrees", + "source_string": "-12.658060, -76.630830", + "target_format": "DMS", + "ground_truth": { + "target_string": "12°39'29.0\"S, 76°37'51.0\"W", + "latitude": -12.65806, + "longitude": -76.63083 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -12.658060, -76.630830", + " Latitude: -12.65806°", + " Longitude: -76.63083°", + "Step 2: Convert latitude to DMS", + " Degrees = 12", + " Minutes = int((12.658060 - 12) × 60) = 39", + " Seconds = ((12.658060 - 12) × 60 - 39) × 60 = 29.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 76", + " Minutes = 37", + " Seconds = 51.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 12°39'29.0\"S, 76°37'51.0\"W", + "FINAL ANSWER: 12°39'29.0\"S, 76°37'51.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Dugulubgey", + "source_format": "decimal_degrees", + "source_string": "43.662500, 43.536940", + "target_format": "DMS", + "ground_truth": { + "target_string": "43°39'45.0\"N, 43°32'13.0\"E", + "latitude": 43.6625, + "longitude": 43.53694 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 43.662500, 43.536940", + " Latitude: 43.6625°", + " Longitude: 43.53694°", + "Step 2: Convert latitude to DMS", + " Degrees = 43", + " Minutes = int((43.662500 - 43) × 60) = 39", + " Seconds = ((43.662500 - 43) × 60 - 39) × 60 = 45.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 43", + " Minutes = 32", + " Seconds = 13.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 43°39'45.0\"N, 43°32'13.0\"E", + "FINAL ANSWER: 43°39'45.0\"N, 43°32'13.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Morogoro", + "source_format": "decimal_degrees", + "source_string": "-6.821020, 37.661220", + "target_format": "DMS", + "ground_truth": { + "target_string": "6°49'15.7\"S, 37°39'40.4\"E", + "latitude": -6.82102, + "longitude": 37.66122 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -6.821020, 37.661220", + " Latitude: -6.82102°", + " Longitude: 37.66122°", + "Step 2: Convert latitude to DMS", + " Degrees = 6", + " Minutes = int((6.821020 - 6) × 60) = 49", + " Seconds = ((6.821020 - 6) × 60 - 49) × 60 = 15.7", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 37", + " Minutes = 39", + " Seconds = 40.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 6°49'15.7\"S, 37°39'40.4\"E", + "FINAL ANSWER: 6°49'15.7\"S, 37°39'40.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Maringá", + "source_format": "DMS", + "source_string": "23°25'31.0\"S, 51°56'19.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-23.425280, -51.938610", + "latitude": -23.42528, + "longitude": -51.93861 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 23°25'31.0\"S, 51°56'19.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -23.42528°", + "Step 4: Calculate longitude", + " Longitude: -51.93861°", + "FINAL ANSWER: -23.425280, -51.938610" + ] + }, + { + "task": "format_conversion", + "location_name": "Nordhausen", + "source_format": "DMS", + "source_string": "51°30'6.5\"N, 10°47'44.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "51.501800, 10.795700", + "latitude": 51.5018, + "longitude": 10.7957 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 51°30'6.5\"N, 10°47'44.5\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 51.5018°", + "Step 4: Calculate longitude", + " Longitude: 10.7957°", + "FINAL ANSWER: 51.501800, 10.795700" + ] + }, + { + "task": "format_conversion", + "location_name": "Kayes", + "source_format": "DMS", + "source_string": "14°26'51.9\"N, 11°26'38.1\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "14.447760, -11.443930", + "latitude": 14.44776, + "longitude": -11.44393 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 14°26'51.9\"N, 11°26'38.1\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 14.44776°", + "Step 4: Calculate longitude", + " Longitude: -11.44393°", + "FINAL ANSWER: 14.447760, -11.443930" + ] + }, + { + "task": "format_conversion", + "location_name": "Shigu", + "source_format": "decimal_degrees", + "source_string": "26.868520, 99.956280", + "target_format": "DMS", + "ground_truth": { + "target_string": "26°52'6.7\"N, 99°57'22.6\"E", + "latitude": 26.86852, + "longitude": 99.95628 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 26.868520, 99.956280", + " Latitude: 26.86852°", + " Longitude: 99.95628°", + "Step 2: Convert latitude to DMS", + " Degrees = 26", + " Minutes = int((26.868520 - 26) × 60) = 52", + " Seconds = ((26.868520 - 26) × 60 - 52) × 60 = 6.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 99", + " Minutes = 57", + " Seconds = 22.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 26°52'6.7\"N, 99°57'22.6\"E", + "FINAL ANSWER: 26°52'6.7\"N, 99°57'22.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Katoro", + "source_format": "decimal_degrees", + "source_string": "-2.999830, 31.932610", + "target_format": "DMS", + "ground_truth": { + "target_string": "2°59'59.4\"S, 31°55'57.4\"E", + "latitude": -2.99983, + "longitude": 31.93261 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -2.999830, 31.932610", + " Latitude: -2.99983°", + " Longitude: 31.93261°", + "Step 2: Convert latitude to DMS", + " Degrees = 2", + " Minutes = int((2.999830 - 2) × 60) = 59", + " Seconds = ((2.999830 - 2) × 60 - 59) × 60 = 59.4", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 31", + " Minutes = 55", + " Seconds = 57.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 2°59'59.4\"S, 31°55'57.4\"E", + "FINAL ANSWER: 2°59'59.4\"S, 31°55'57.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Panji", + "source_format": "DMS", + "source_string": "7°43'31.0\"S, 114°5'58.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-7.725280, 114.099540", + "latitude": -7.72528, + "longitude": 114.09954 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 7°43'31.0\"S, 114°5'58.3\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -7.72528°", + "Step 4: Calculate longitude", + " Longitude: 114.09954°", + "FINAL ANSWER: -7.725280, 114.099540" + ] + }, + { + "task": "format_conversion", + "location_name": "Frontignan", + "source_format": "decimal_degrees", + "source_string": "43.447750, 3.755240", + "target_format": "DMS", + "ground_truth": { + "target_string": "43°26'51.9\"N, 3°45'18.9\"E", + "latitude": 43.44775, + "longitude": 3.75524 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 43.447750, 3.755240", + " Latitude: 43.44775°", + " Longitude: 3.75524°", + "Step 2: Convert latitude to DMS", + " Degrees = 43", + " Minutes = int((43.447750 - 43) × 60) = 26", + " Seconds = ((43.447750 - 43) × 60 - 26) × 60 = 51.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 3", + " Minutes = 45", + " Seconds = 18.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 43°26'51.9\"N, 3°45'18.9\"E", + "FINAL ANSWER: 43°26'51.9\"N, 3°45'18.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Naples", + "source_format": "decimal_degrees", + "source_string": "40.852160, 14.268110", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°51'7.8\"N, 14°16'5.2\"E", + "latitude": 40.85216, + "longitude": 14.26811 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.852160, 14.268110", + " Latitude: 40.85216°", + " Longitude: 14.26811°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.852160 - 40) × 60) = 51", + " Seconds = ((40.852160 - 40) × 60 - 51) × 60 = 7.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 14", + " Minutes = 16", + " Seconds = 5.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 40°51'7.8\"N, 14°16'5.2\"E", + "FINAL ANSWER: 40°51'7.8\"N, 14°16'5.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Amarante do Maranhão", + "source_format": "decimal_degrees", + "source_string": "-5.566670, -46.742220", + "target_format": "DMS", + "ground_truth": { + "target_string": "5°34'0.0\"S, 46°44'32.0\"W", + "latitude": -5.56667, + "longitude": -46.74222 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -5.566670, -46.742220", + " Latitude: -5.56667°", + " Longitude: -46.74222°", + "Step 2: Convert latitude to DMS", + " Degrees = 5", + " Minutes = int((5.566670 - 5) × 60) = 34", + " Seconds = ((5.566670 - 5) × 60 - 34) × 60 = 0.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 46", + " Minutes = 44", + " Seconds = 32.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 5°34'0.0\"S, 46°44'32.0\"W", + "FINAL ANSWER: 5°34'0.0\"S, 46°44'32.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Al Mansurah", + "source_format": "decimal_degrees", + "source_string": "31.036370, 31.380690", + "target_format": "DMS", + "ground_truth": { + "target_string": "31°2'10.9\"N, 31°22'50.5\"E", + "latitude": 31.03637, + "longitude": 31.38069 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 31.036370, 31.380690", + " Latitude: 31.03637°", + " Longitude: 31.38069°", + "Step 2: Convert latitude to DMS", + " Degrees = 31", + " Minutes = int((31.036370 - 31) × 60) = 2", + " Seconds = ((31.036370 - 31) × 60 - 2) × 60 = 10.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 31", + " Minutes = 22", + " Seconds = 50.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 31°2'10.9\"N, 31°22'50.5\"E", + "FINAL ANSWER: 31°2'10.9\"N, 31°22'50.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kāthor", + "source_format": "DMS", + "source_string": "21°17'18.7\"N, 72°56'26.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "21.288540, 72.940700", + "latitude": 21.28854, + "longitude": 72.9407 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 21°17'18.7\"N, 72°56'26.5\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 21.28854°", + "Step 4: Calculate longitude", + " Longitude: 72.9407°", + "FINAL ANSWER: 21.288540, 72.940700" + ] + }, + { + "task": "format_conversion", + "location_name": "Puchong", + "source_format": "DMS", + "source_string": "3°0'0.0\"N, 101°37'0.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "3.000000, 101.616670", + "latitude": 3.0, + "longitude": 101.61667 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 3°0'0.0\"N, 101°37'0.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 3.0°", + "Step 4: Calculate longitude", + " Longitude: 101.61667°", + "FINAL ANSWER: 3.000000, 101.616670" + ] + }, + { + "task": "format_conversion", + "location_name": "Alcalá de Henares", + "source_format": "DMS", + "source_string": "40°28'55.4\"N, 3°21'35.9\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.482050, -3.359960", + "latitude": 40.48205, + "longitude": -3.35996 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°28'55.4\"N, 3°21'35.9\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 40.48205°", + "Step 4: Calculate longitude", + " Longitude: -3.35996°", + "FINAL ANSWER: 40.482050, -3.359960" + ] + }, + { + "task": "format_conversion", + "location_name": "Colomiers", + "source_format": "decimal_degrees", + "source_string": "43.610580, 1.334670", + "target_format": "DMS", + "ground_truth": { + "target_string": "43°36'38.1\"N, 1°20'4.8\"E", + "latitude": 43.61058, + "longitude": 1.33467 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 43.610580, 1.334670", + " Latitude: 43.61058°", + " Longitude: 1.33467°", + "Step 2: Convert latitude to DMS", + " Degrees = 43", + " Minutes = int((43.610580 - 43) × 60) = 36", + " Seconds = ((43.610580 - 43) × 60 - 36) × 60 = 38.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 1", + " Minutes = 20", + " Seconds = 4.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 43°36'38.1\"N, 1°20'4.8\"E", + "FINAL ANSWER: 43°36'38.1\"N, 1°20'4.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kalmeshwar", + "source_format": "DMS", + "source_string": "21°13'55.9\"N, 78°55'11.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "21.232190, 78.919880", + "latitude": 21.23219, + "longitude": 78.91988 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 21°13'55.9\"N, 78°55'11.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 21.23219°", + "Step 4: Calculate longitude", + " Longitude: 78.91988°", + "FINAL ANSWER: 21.232190, 78.919880" + ] + }, + { + "task": "format_conversion", + "location_name": "Tenkodogo", + "source_format": "decimal_degrees", + "source_string": "11.780000, -0.369720", + "target_format": "DMS", + "ground_truth": { + "target_string": "11°46'48.0\"N, 0°22'11.0\"W", + "latitude": 11.78, + "longitude": -0.36972 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 11.780000, -0.369720", + " Latitude: 11.78°", + " Longitude: -0.36972°", + "Step 2: Convert latitude to DMS", + " Degrees = 11", + " Minutes = int((11.780000 - 11) × 60) = 46", + " Seconds = ((11.780000 - 11) × 60 - 46) × 60 = 48.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 0", + " Minutes = 22", + " Seconds = 11.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 11°46'48.0\"N, 0°22'11.0\"W", + "FINAL ANSWER: 11°46'48.0\"N, 0°22'11.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Vila-real", + "source_format": "DMS", + "source_string": "39°56'17.9\"N, 0°6'3.1\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "39.938300, -0.100870", + "latitude": 39.9383, + "longitude": -0.10087 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 39°56'17.9\"N, 0°6'3.1\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 39.9383°", + "Step 4: Calculate longitude", + " Longitude: -0.10087°", + "FINAL ANSWER: 39.938300, -0.100870" + ] + }, + { + "task": "format_conversion", + "location_name": "Dharashiv", + "source_format": "DMS", + "source_string": "18°10'53.7\"N, 76°2'20.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "18.181580, 76.038890", + "latitude": 18.18158, + "longitude": 76.03889 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 18°10'53.7\"N, 76°2'20.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 18.18158°", + "Step 4: Calculate longitude", + " Longitude: 76.03889°", + "FINAL ANSWER: 18.181580, 76.038890" + ] + }, + { + "task": "format_conversion", + "location_name": "High Wycombe", + "source_format": "decimal_degrees", + "source_string": "51.629070, -0.749340", + "target_format": "DMS", + "ground_truth": { + "target_string": "51°37'44.7\"N, 0°44'57.6\"W", + "latitude": 51.62907, + "longitude": -0.74934 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 51.629070, -0.749340", + " Latitude: 51.62907°", + " Longitude: -0.74934°", + "Step 2: Convert latitude to DMS", + " Degrees = 51", + " Minutes = int((51.629070 - 51) × 60) = 37", + " Seconds = ((51.629070 - 51) × 60 - 37) × 60 = 44.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 0", + " Minutes = 44", + " Seconds = 57.6", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 51°37'44.7\"N, 0°44'57.6\"W", + "FINAL ANSWER: 51°37'44.7\"N, 0°44'57.6\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Viedma", + "source_format": "decimal_degrees", + "source_string": "-40.815190, -63.000400", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°48'54.7\"S, 63°0'1.4\"W", + "latitude": -40.81519, + "longitude": -63.0004 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -40.815190, -63.000400", + " Latitude: -40.81519°", + " Longitude: -63.0004°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.815190 - 40) × 60) = 48", + " Seconds = ((40.815190 - 40) × 60 - 48) × 60 = 54.7", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 63", + " Minutes = 0", + " Seconds = 1.4", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 40°48'54.7\"S, 63°0'1.4\"W", + "FINAL ANSWER: 40°48'54.7\"S, 63°0'1.4\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Núcleo Bandeirante", + "source_format": "decimal_degrees", + "source_string": "-15.870700, -47.968920", + "target_format": "DMS", + "ground_truth": { + "target_string": "15°52'14.5\"S, 47°58'8.1\"W", + "latitude": -15.8707, + "longitude": -47.96892 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -15.870700, -47.968920", + " Latitude: -15.8707°", + " Longitude: -47.96892°", + "Step 2: Convert latitude to DMS", + " Degrees = 15", + " Minutes = int((15.870700 - 15) × 60) = 52", + " Seconds = ((15.870700 - 15) × 60 - 52) × 60 = 14.5", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 47", + " Minutes = 58", + " Seconds = 8.1", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 15°52'14.5\"S, 47°58'8.1\"W", + "FINAL ANSWER: 15°52'14.5\"S, 47°58'8.1\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Iraquara", + "source_format": "decimal_degrees", + "source_string": "-12.248610, -41.619440", + "target_format": "DMS", + "ground_truth": { + "target_string": "12°14'55.0\"S, 41°37'10.0\"W", + "latitude": -12.24861, + "longitude": -41.61944 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -12.248610, -41.619440", + " Latitude: -12.24861°", + " Longitude: -41.61944°", + "Step 2: Convert latitude to DMS", + " Degrees = 12", + " Minutes = int((12.248610 - 12) × 60) = 14", + " Seconds = ((12.248610 - 12) × 60 - 14) × 60 = 55.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 41", + " Minutes = 37", + " Seconds = 10.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 12°14'55.0\"S, 41°37'10.0\"W", + "FINAL ANSWER: 12°14'55.0\"S, 41°37'10.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Lākheri", + "source_format": "decimal_degrees", + "source_string": "25.672370, 76.176920", + "target_format": "DMS", + "ground_truth": { + "target_string": "25°40'20.5\"N, 76°10'36.9\"E", + "latitude": 25.67237, + "longitude": 76.17692 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 25.672370, 76.176920", + " Latitude: 25.67237°", + " Longitude: 76.17692°", + "Step 2: Convert latitude to DMS", + " Degrees = 25", + " Minutes = int((25.672370 - 25) × 60) = 40", + " Seconds = ((25.672370 - 25) × 60 - 40) × 60 = 20.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 76", + " Minutes = 10", + " Seconds = 36.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 25°40'20.5\"N, 76°10'36.9\"E", + "FINAL ANSWER: 25°40'20.5\"N, 76°10'36.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Almassora", + "source_format": "DMS", + "source_string": "39°56'50.2\"N, 0°3'47.3\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "39.947290, -0.063130", + "latitude": 39.94729, + "longitude": -0.06313 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 39°56'50.2\"N, 0°3'47.3\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 39.94729°", + "Step 4: Calculate longitude", + " Longitude: -0.06313°", + "FINAL ANSWER: 39.947290, -0.063130" + ] + }, + { + "task": "format_conversion", + "location_name": "Puerto Rico", + "source_format": "decimal_degrees", + "source_string": "-26.808900, -55.021470", + "target_format": "DMS", + "ground_truth": { + "target_string": "26°48'32.0\"S, 55°1'17.3\"W", + "latitude": -26.8089, + "longitude": -55.02147 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -26.808900, -55.021470", + " Latitude: -26.8089°", + " Longitude: -55.02147°", + "Step 2: Convert latitude to DMS", + " Degrees = 26", + " Minutes = int((26.808900 - 26) × 60) = 48", + " Seconds = ((26.808900 - 26) × 60 - 48) × 60 = 32.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 55", + " Minutes = 1", + " Seconds = 17.3", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 26°48'32.0\"S, 55°1'17.3\"W", + "FINAL ANSWER: 26°48'32.0\"S, 55°1'17.3\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Chopera", + "source_format": "decimal_degrees", + "source_string": "40.394760, -3.699070", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°23'41.1\"N, 3°41'56.7\"W", + "latitude": 40.39476, + "longitude": -3.69907 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.394760, -3.699070", + " Latitude: 40.39476°", + " Longitude: -3.69907°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.394760 - 40) × 60) = 23", + " Seconds = ((40.394760 - 40) × 60 - 23) × 60 = 41.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 3", + " Minutes = 41", + " Seconds = 56.7", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 40°23'41.1\"N, 3°41'56.7\"W", + "FINAL ANSWER: 40°23'41.1\"N, 3°41'56.7\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Bharthana", + "source_format": "DMS", + "source_string": "26°45'8.3\"N, 79°13'18.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "26.752310, 79.221800", + "latitude": 26.75231, + "longitude": 79.2218 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 26°45'8.3\"N, 79°13'18.5\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 26.75231°", + "Step 4: Calculate longitude", + " Longitude: 79.2218°", + "FINAL ANSWER: 26.752310, 79.221800" + ] + }, + { + "task": "format_conversion", + "location_name": "Perintalmanna", + "source_format": "decimal_degrees", + "source_string": "10.977240, 76.225410", + "target_format": "DMS", + "ground_truth": { + "target_string": "10°58'38.1\"N, 76°13'31.5\"E", + "latitude": 10.97724, + "longitude": 76.22541 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 10.977240, 76.225410", + " Latitude: 10.97724°", + " Longitude: 76.22541°", + "Step 2: Convert latitude to DMS", + " Degrees = 10", + " Minutes = int((10.977240 - 10) × 60) = 58", + " Seconds = ((10.977240 - 10) × 60 - 58) × 60 = 38.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 76", + " Minutes = 13", + " Seconds = 31.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 10°58'38.1\"N, 76°13'31.5\"E", + "FINAL ANSWER: 10°58'38.1\"N, 76°13'31.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Gwynn Oak", + "source_format": "DMS", + "source_string": "39°19'57.4\"N, 76°41'33.9\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "39.332610, -76.692750", + "latitude": 39.33261, + "longitude": -76.69275 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 39°19'57.4\"N, 76°41'33.9\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 39.33261°", + "Step 4: Calculate longitude", + " Longitude: -76.69275°", + "FINAL ANSWER: 39.332610, -76.692750" + ] + }, + { + "task": "format_conversion", + "location_name": "Poá", + "source_format": "DMS", + "source_string": "23°31'41.0\"S, 46°20'41.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-23.528060, -46.344720", + "latitude": -23.52806, + "longitude": -46.34472 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 23°31'41.0\"S, 46°20'41.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -23.52806°", + "Step 4: Calculate longitude", + " Longitude: -46.34472°", + "FINAL ANSWER: -23.528060, -46.344720" + ] + }, + { + "task": "format_conversion", + "location_name": "San Felice A Cancello", + "source_format": "decimal_degrees", + "source_string": "41.017020, 14.487360", + "target_format": "DMS", + "ground_truth": { + "target_string": "41°1'1.3\"N, 14°29'14.5\"E", + "latitude": 41.01702, + "longitude": 14.48736 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 41.017020, 14.487360", + " Latitude: 41.01702°", + " Longitude: 14.48736°", + "Step 2: Convert latitude to DMS", + " Degrees = 41", + " Minutes = int((41.017020 - 41) × 60) = 1", + " Seconds = ((41.017020 - 41) × 60 - 1) × 60 = 1.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 14", + " Minutes = 29", + " Seconds = 14.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 41°1'1.3\"N, 14°29'14.5\"E", + "FINAL ANSWER: 41°1'1.3\"N, 14°29'14.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Tshitereke", + "source_format": "decimal_degrees", + "source_string": "-22.884160, 30.493580", + "target_format": "DMS", + "ground_truth": { + "target_string": "22°53'3.0\"S, 30°29'36.9\"E", + "latitude": -22.88416, + "longitude": 30.49358 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -22.884160, 30.493580", + " Latitude: -22.88416°", + " Longitude: 30.49358°", + "Step 2: Convert latitude to DMS", + " Degrees = 22", + " Minutes = int((22.884160 - 22) × 60) = 53", + " Seconds = ((22.884160 - 22) × 60 - 53) × 60 = 3.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 30", + " Minutes = 29", + " Seconds = 36.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 22°53'3.0\"S, 30°29'36.9\"E", + "FINAL ANSWER: 22°53'3.0\"S, 30°29'36.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Ryazan’", + "source_format": "decimal_degrees", + "source_string": "54.626960, 39.704150", + "target_format": "DMS", + "ground_truth": { + "target_string": "54°37'37.1\"N, 39°42'14.9\"E", + "latitude": 54.62696, + "longitude": 39.70415 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 54.626960, 39.704150", + " Latitude: 54.62696°", + " Longitude: 39.70415°", + "Step 2: Convert latitude to DMS", + " Degrees = 54", + " Minutes = int((54.626960 - 54) × 60) = 37", + " Seconds = ((54.626960 - 54) × 60 - 37) × 60 = 37.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 39", + " Minutes = 42", + " Seconds = 14.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 54°37'37.1\"N, 39°42'14.9\"E", + "FINAL ANSWER: 54°37'37.1\"N, 39°42'14.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Civitavecchia", + "source_format": "decimal_degrees", + "source_string": "42.093250, 11.796740", + "target_format": "DMS", + "ground_truth": { + "target_string": "42°5'35.7\"N, 11°47'48.3\"E", + "latitude": 42.09325, + "longitude": 11.79674 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 42.093250, 11.796740", + " Latitude: 42.09325°", + " Longitude: 11.79674°", + "Step 2: Convert latitude to DMS", + " Degrees = 42", + " Minutes = int((42.093250 - 42) × 60) = 5", + " Seconds = ((42.093250 - 42) × 60 - 5) × 60 = 35.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 11", + " Minutes = 47", + " Seconds = 48.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 42°5'35.7\"N, 11°47'48.3\"E", + "FINAL ANSWER: 42°5'35.7\"N, 11°47'48.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Tangshan", + "source_format": "decimal_degrees", + "source_string": "39.643810, 118.183190", + "target_format": "DMS", + "ground_truth": { + "target_string": "39°38'37.7\"N, 118°10'59.5\"E", + "latitude": 39.64381, + "longitude": 118.18319 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 39.643810, 118.183190", + " Latitude: 39.64381°", + " Longitude: 118.18319°", + "Step 2: Convert latitude to DMS", + " Degrees = 39", + " Minutes = int((39.643810 - 39) × 60) = 38", + " Seconds = ((39.643810 - 39) × 60 - 38) × 60 = 37.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 118", + " Minutes = 10", + " Seconds = 59.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 39°38'37.7\"N, 118°10'59.5\"E", + "FINAL ANSWER: 39°38'37.7\"N, 118°10'59.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Santa Cruz de Barahona", + "source_format": "DMS", + "source_string": "18°12'31.0\"N, 71°6'2.4\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "18.208610, -71.100680", + "latitude": 18.20861, + "longitude": -71.10068 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 18°12'31.0\"N, 71°6'2.4\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 18.20861°", + "Step 4: Calculate longitude", + " Longitude: -71.10068°", + "FINAL ANSWER: 18.208610, -71.100680" + ] + }, + { + "task": "format_conversion", + "location_name": "Shimosuwa", + "source_format": "decimal_degrees", + "source_string": "36.071300, 138.082010", + "target_format": "DMS", + "ground_truth": { + "target_string": "36°4'16.7\"N, 138°4'55.2\"E", + "latitude": 36.0713, + "longitude": 138.08201 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 36.071300, 138.082010", + " Latitude: 36.0713°", + " Longitude: 138.08201°", + "Step 2: Convert latitude to DMS", + " Degrees = 36", + " Minutes = int((36.071300 - 36) × 60) = 4", + " Seconds = ((36.071300 - 36) × 60 - 4) × 60 = 16.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 138", + " Minutes = 4", + " Seconds = 55.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 36°4'16.7\"N, 138°4'55.2\"E", + "FINAL ANSWER: 36°4'16.7\"N, 138°4'55.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Bandar Utama", + "source_format": "DMS", + "source_string": "3°8'53.4\"N, 101°36'50.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "3.148180, 101.614070", + "latitude": 3.14818, + "longitude": 101.61407 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 3°8'53.4\"N, 101°36'50.7\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 3.14818°", + "Step 4: Calculate longitude", + " Longitude: 101.61407°", + "FINAL ANSWER: 3.148180, 101.614070" + ] + }, + { + "task": "format_conversion", + "location_name": "Punggol", + "source_format": "DMS", + "source_string": "1°24'52.0\"N, 103°54'25.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "1.414440, 103.906940", + "latitude": 1.41444, + "longitude": 103.90694 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 1°24'52.0\"N, 103°54'25.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 1.41444°", + "Step 4: Calculate longitude", + " Longitude: 103.90694°", + "FINAL ANSWER: 1.414440, 103.906940" + ] + }, + { + "task": "format_conversion", + "location_name": "Yendi", + "source_format": "DMS", + "source_string": "9°26'33.8\"N, 0°0'35.7\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "9.442720, -0.009910", + "latitude": 9.44272, + "longitude": -0.00991 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 9°26'33.8\"N, 0°0'35.7\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 9.44272°", + "Step 4: Calculate longitude", + " Longitude: -0.00991°", + "FINAL ANSWER: 9.442720, -0.009910" + ] + }, + { + "task": "format_conversion", + "location_name": "Tshikapa", + "source_format": "DMS", + "source_string": "6°24'58.4\"S, 20°47'59.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-6.416210, 20.799950", + "latitude": -6.41621, + "longitude": 20.79995 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 6°24'58.4\"S, 20°47'59.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -6.41621°", + "Step 4: Calculate longitude", + " Longitude: 20.79995°", + "FINAL ANSWER: -6.416210, 20.799950" + ] + }, + { + "task": "format_conversion", + "location_name": "Tirukkalikkunram", + "source_format": "DMS", + "source_string": "12°36'28.8\"N, 80°3'19.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "12.607990, 80.055500", + "latitude": 12.60799, + "longitude": 80.0555 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 12°36'28.8\"N, 80°3'19.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 12.60799°", + "Step 4: Calculate longitude", + " Longitude: 80.0555°", + "FINAL ANSWER: 12.607990, 80.055500" + ] + }, + { + "task": "format_conversion", + "location_name": "Tríkala", + "source_format": "DMS", + "source_string": "39°33'17.7\"N, 21°46'6.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "39.554930, 21.768370", + "latitude": 39.55493, + "longitude": 21.76837 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 39°33'17.7\"N, 21°46'6.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 39.55493°", + "Step 4: Calculate longitude", + " Longitude: 21.76837°", + "FINAL ANSWER: 39.554930, 21.768370" + ] + }, + { + "task": "format_conversion", + "location_name": "Khān Neshīn", + "source_format": "decimal_degrees", + "source_string": "30.548800, 63.788800", + "target_format": "DMS", + "ground_truth": { + "target_string": "30°32'55.7\"N, 63°47'19.7\"E", + "latitude": 30.5488, + "longitude": 63.7888 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 30.548800, 63.788800", + " Latitude: 30.5488°", + " Longitude: 63.7888°", + "Step 2: Convert latitude to DMS", + " Degrees = 30", + " Minutes = int((30.548800 - 30) × 60) = 32", + " Seconds = ((30.548800 - 30) × 60 - 32) × 60 = 55.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 63", + " Minutes = 47", + " Seconds = 19.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 30°32'55.7\"N, 63°47'19.7\"E", + "FINAL ANSWER: 30°32'55.7\"N, 63°47'19.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Bharwāri", + "source_format": "decimal_degrees", + "source_string": "25.560780, 81.491640", + "target_format": "DMS", + "ground_truth": { + "target_string": "25°33'38.8\"N, 81°29'29.9\"E", + "latitude": 25.56078, + "longitude": 81.49164 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 25.560780, 81.491640", + " Latitude: 25.56078°", + " Longitude: 81.49164°", + "Step 2: Convert latitude to DMS", + " Degrees = 25", + " Minutes = int((25.560780 - 25) × 60) = 33", + " Seconds = ((25.560780 - 25) × 60 - 33) × 60 = 38.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 81", + " Minutes = 29", + " Seconds = 29.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 25°33'38.8\"N, 81°29'29.9\"E", + "FINAL ANSWER: 25°33'38.8\"N, 81°29'29.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Bom Conselho", + "source_format": "DMS", + "source_string": "9°10'11.0\"S, 36°40'47.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-9.169720, -36.679720", + "latitude": -9.16972, + "longitude": -36.67972 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 9°10'11.0\"S, 36°40'47.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -9.16972°", + "Step 4: Calculate longitude", + " Longitude: -36.67972°", + "FINAL ANSWER: -9.169720, -36.679720" + ] + }, + { + "task": "format_conversion", + "location_name": "Mbanga", + "source_format": "decimal_degrees", + "source_string": "4.501600, 9.567100", + "target_format": "DMS", + "ground_truth": { + "target_string": "4°30'5.8\"N, 9°34'1.6\"E", + "latitude": 4.5016, + "longitude": 9.5671 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 4.501600, 9.567100", + " Latitude: 4.5016°", + " Longitude: 9.5671°", + "Step 2: Convert latitude to DMS", + " Degrees = 4", + " Minutes = int((4.501600 - 4) × 60) = 30", + " Seconds = ((4.501600 - 4) × 60 - 30) × 60 = 5.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 9", + " Minutes = 34", + " Seconds = 1.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 4°30'5.8\"N, 9°34'1.6\"E", + "FINAL ANSWER: 4°30'5.8\"N, 9°34'1.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Niihama", + "source_format": "decimal_degrees", + "source_string": "33.960470, 133.305220", + "target_format": "DMS", + "ground_truth": { + "target_string": "33°57'37.7\"N, 133°18'18.8\"E", + "latitude": 33.96047, + "longitude": 133.30522 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 33.960470, 133.305220", + " Latitude: 33.96047°", + " Longitude: 133.30522°", + "Step 2: Convert latitude to DMS", + " Degrees = 33", + " Minutes = int((33.960470 - 33) × 60) = 57", + " Seconds = ((33.960470 - 33) × 60 - 57) × 60 = 37.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 133", + " Minutes = 18", + " Seconds = 18.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 33°57'37.7\"N, 133°18'18.8\"E", + "FINAL ANSWER: 33°57'37.7\"N, 133°18'18.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Jhalidā", + "source_format": "DMS", + "source_string": "23°21'55.6\"N, 85°58'35.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "23.365450, 85.976430", + "latitude": 23.36545, + "longitude": 85.97643 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 23°21'55.6\"N, 85°58'35.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 23.36545°", + "Step 4: Calculate longitude", + " Longitude: 85.97643°", + "FINAL ANSWER: 23.365450, 85.976430" + ] + }, + { + "task": "format_conversion", + "location_name": "Bermeo", + "source_format": "decimal_degrees", + "source_string": "43.420880, -2.721520", + "target_format": "DMS", + "ground_truth": { + "target_string": "43°25'15.2\"N, 2°43'17.5\"W", + "latitude": 43.42088, + "longitude": -2.72152 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 43.420880, -2.721520", + " Latitude: 43.42088°", + " Longitude: -2.72152°", + "Step 2: Convert latitude to DMS", + " Degrees = 43", + " Minutes = int((43.420880 - 43) × 60) = 25", + " Seconds = ((43.420880 - 43) × 60 - 25) × 60 = 15.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 2", + " Minutes = 43", + " Seconds = 17.5", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 43°25'15.2\"N, 2°43'17.5\"W", + "FINAL ANSWER: 43°25'15.2\"N, 2°43'17.5\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Bornheim", + "source_format": "decimal_degrees", + "source_string": "50.763130, 6.990890", + "target_format": "DMS", + "ground_truth": { + "target_string": "50°45'47.3\"N, 6°59'27.2\"E", + "latitude": 50.76313, + "longitude": 6.99089 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 50.763130, 6.990890", + " Latitude: 50.76313°", + " Longitude: 6.99089°", + "Step 2: Convert latitude to DMS", + " Degrees = 50", + " Minutes = int((50.763130 - 50) × 60) = 45", + " Seconds = ((50.763130 - 50) × 60 - 45) × 60 = 47.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 6", + " Minutes = 59", + " Seconds = 27.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 50°45'47.3\"N, 6°59'27.2\"E", + "FINAL ANSWER: 50°45'47.3\"N, 6°59'27.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Carol Stream", + "source_format": "DMS", + "source_string": "41°54'45.1\"N, 88°8'5.2\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "41.912530, -88.134790", + "latitude": 41.91253, + "longitude": -88.13479 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 41°54'45.1\"N, 88°8'5.2\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 41.91253°", + "Step 4: Calculate longitude", + " Longitude: -88.13479°", + "FINAL ANSWER: 41.912530, -88.134790" + ] + }, + { + "task": "format_conversion", + "location_name": "Baotou", + "source_format": "DMS", + "source_string": "40°39'5.8\"N, 109°50'38.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.651600, 109.843890", + "latitude": 40.6516, + "longitude": 109.84389 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°39'5.8\"N, 109°50'38.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 40.6516°", + "Step 4: Calculate longitude", + " Longitude: 109.84389°", + "FINAL ANSWER: 40.651600, 109.843890" + ] + }, + { + "task": "format_conversion", + "location_name": "Yushu", + "source_format": "DMS", + "source_string": "44°49'39.0\"N, 126°32'26.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "44.827510, 126.540630", + "latitude": 44.82751, + "longitude": 126.54063 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 44°49'39.0\"N, 126°32'26.3\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 44.82751°", + "Step 4: Calculate longitude", + " Longitude: 126.54063°", + "FINAL ANSWER: 44.827510, 126.540630" + ] + }, + { + "task": "format_conversion", + "location_name": "Belpasso", + "source_format": "DMS", + "source_string": "37°35'30.9\"N, 14°58'47.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "37.591920, 14.979850", + "latitude": 37.59192, + "longitude": 14.97985 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 37°35'30.9\"N, 14°58'47.5\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 37.59192°", + "Step 4: Calculate longitude", + " Longitude: 14.97985°", + "FINAL ANSWER: 37.591920, 14.979850" + ] + }, + { + "task": "format_conversion", + "location_name": "Naga", + "source_format": "decimal_degrees", + "source_string": "13.619170, 123.181390", + "target_format": "DMS", + "ground_truth": { + "target_string": "13°37'9.0\"N, 123°10'53.0\"E", + "latitude": 13.61917, + "longitude": 123.18139 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 13.619170, 123.181390", + " Latitude: 13.61917°", + " Longitude: 123.18139°", + "Step 2: Convert latitude to DMS", + " Degrees = 13", + " Minutes = int((13.619170 - 13) × 60) = 37", + " Seconds = ((13.619170 - 13) × 60 - 37) × 60 = 9.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 123", + " Minutes = 10", + " Seconds = 53.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 13°37'9.0\"N, 123°10'53.0\"E", + "FINAL ANSWER: 13°37'9.0\"N, 123°10'53.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Farmington", + "source_format": "DMS", + "source_string": "37°46'51.2\"N, 90°25'18.4\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "37.780880, -90.421790", + "latitude": 37.78088, + "longitude": -90.42179 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 37°46'51.2\"N, 90°25'18.4\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 37.78088°", + "Step 4: Calculate longitude", + " Longitude: -90.42179°", + "FINAL ANSWER: 37.780880, -90.421790" + ] + }, + { + "task": "format_conversion", + "location_name": "Junqueirópolis", + "source_format": "DMS", + "source_string": "21°30'53.0\"S, 51°26'1.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-21.514720, -51.433610", + "latitude": -21.51472, + "longitude": -51.43361 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 21°30'53.0\"S, 51°26'1.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -21.51472°", + "Step 4: Calculate longitude", + " Longitude: -51.43361°", + "FINAL ANSWER: -21.514720, -51.433610" + ] + }, + { + "task": "format_conversion", + "location_name": "Santo Domingo Este", + "source_format": "decimal_degrees", + "source_string": "18.485110, -69.847570", + "target_format": "DMS", + "ground_truth": { + "target_string": "18°29'6.4\"N, 69°50'51.3\"W", + "latitude": 18.48511, + "longitude": -69.84757 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 18.485110, -69.847570", + " Latitude: 18.48511°", + " Longitude: -69.84757°", + "Step 2: Convert latitude to DMS", + " Degrees = 18", + " Minutes = int((18.485110 - 18) × 60) = 29", + " Seconds = ((18.485110 - 18) × 60 - 29) × 60 = 6.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 69", + " Minutes = 50", + " Seconds = 51.3", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 18°29'6.4\"N, 69°50'51.3\"W", + "FINAL ANSWER: 18°29'6.4\"N, 69°50'51.3\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Pallipuram", + "source_format": "decimal_degrees", + "source_string": "9.755020, 76.357240", + "target_format": "DMS", + "ground_truth": { + "target_string": "9°45'18.1\"N, 76°21'26.1\"E", + "latitude": 9.75502, + "longitude": 76.35724 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 9.755020, 76.357240", + " Latitude: 9.75502°", + " Longitude: 76.35724°", + "Step 2: Convert latitude to DMS", + " Degrees = 9", + " Minutes = int((9.755020 - 9) × 60) = 45", + " Seconds = ((9.755020 - 9) × 60 - 45) × 60 = 18.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 76", + " Minutes = 21", + " Seconds = 26.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 9°45'18.1\"N, 76°21'26.1\"E", + "FINAL ANSWER: 9°45'18.1\"N, 76°21'26.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Chennimalai", + "source_format": "decimal_degrees", + "source_string": "11.163780, 77.603880", + "target_format": "DMS", + "ground_truth": { + "target_string": "11°9'49.6\"N, 77°36'14.0\"E", + "latitude": 11.16378, + "longitude": 77.60388 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 11.163780, 77.603880", + " Latitude: 11.16378°", + " Longitude: 77.60388°", + "Step 2: Convert latitude to DMS", + " Degrees = 11", + " Minutes = int((11.163780 - 11) × 60) = 9", + " Seconds = ((11.163780 - 11) × 60 - 9) × 60 = 49.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 77", + " Minutes = 36", + " Seconds = 14.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 11°9'49.6\"N, 77°36'14.0\"E", + "FINAL ANSWER: 11°9'49.6\"N, 77°36'14.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Nattakam", + "source_format": "decimal_degrees", + "source_string": "9.545330, 76.514140", + "target_format": "DMS", + "ground_truth": { + "target_string": "9°32'43.2\"N, 76°30'50.9\"E", + "latitude": 9.54533, + "longitude": 76.51414 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 9.545330, 76.514140", + " Latitude: 9.54533°", + " Longitude: 76.51414°", + "Step 2: Convert latitude to DMS", + " Degrees = 9", + " Minutes = int((9.545330 - 9) × 60) = 32", + " Seconds = ((9.545330 - 9) × 60 - 32) × 60 = 43.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 76", + " Minutes = 30", + " Seconds = 50.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 9°32'43.2\"N, 76°30'50.9\"E", + "FINAL ANSWER: 9°32'43.2\"N, 76°30'50.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Addanki", + "source_format": "DMS", + "source_string": "15°48'38.2\"N, 79°58'24.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "15.810610, 79.973380", + "latitude": 15.81061, + "longitude": 79.97338 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 15°48'38.2\"N, 79°58'24.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 15.81061°", + "Step 4: Calculate longitude", + " Longitude: 79.97338°", + "FINAL ANSWER: 15.810610, 79.973380" + ] + }, + { + "task": "format_conversion", + "location_name": "Jingdezhen", + "source_format": "DMS", + "source_string": "29°17'40.9\"N, 117°12'28.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "29.294700, 117.207890", + "latitude": 29.2947, + "longitude": 117.20789 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 29°17'40.9\"N, 117°12'28.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 29.2947°", + "Step 4: Calculate longitude", + " Longitude: 117.20789°", + "FINAL ANSWER: 29.294700, 117.207890" + ] + }, + { + "task": "format_conversion", + "location_name": "Mariāhu", + "source_format": "decimal_degrees", + "source_string": "25.604040, 82.603790", + "target_format": "DMS", + "ground_truth": { + "target_string": "25°36'14.5\"N, 82°36'13.6\"E", + "latitude": 25.60404, + "longitude": 82.60379 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 25.604040, 82.603790", + " Latitude: 25.60404°", + " Longitude: 82.60379°", + "Step 2: Convert latitude to DMS", + " Degrees = 25", + " Minutes = int((25.604040 - 25) × 60) = 36", + " Seconds = ((25.604040 - 25) × 60 - 36) × 60 = 14.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 82", + " Minutes = 36", + " Seconds = 13.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 25°36'14.5\"N, 82°36'13.6\"E", + "FINAL ANSWER: 25°36'14.5\"N, 82°36'13.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Khunti", + "source_format": "decimal_degrees", + "source_string": "23.076020, 85.278180", + "target_format": "DMS", + "ground_truth": { + "target_string": "23°4'33.7\"N, 85°16'41.4\"E", + "latitude": 23.07602, + "longitude": 85.27818 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 23.076020, 85.278180", + " Latitude: 23.07602°", + " Longitude: 85.27818°", + "Step 2: Convert latitude to DMS", + " Degrees = 23", + " Minutes = int((23.076020 - 23) × 60) = 4", + " Seconds = ((23.076020 - 23) × 60 - 4) × 60 = 33.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 85", + " Minutes = 16", + " Seconds = 41.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 23°4'33.7\"N, 85°16'41.4\"E", + "FINAL ANSWER: 23°4'33.7\"N, 85°16'41.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Lalitpur", + "source_format": "DMS", + "source_string": "24°41'24.3\"N, 78°25'8.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "24.690070, 78.419150", + "latitude": 24.69007, + "longitude": 78.41915 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 24°41'24.3\"N, 78°25'8.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 24.69007°", + "Step 4: Calculate longitude", + " Longitude: 78.41915°", + "FINAL ANSWER: 24.690070, 78.419150" + ] + }, + { + "task": "format_conversion", + "location_name": "Nuevo Laredo", + "source_format": "DMS", + "source_string": "27°28'34.6\"N, 99°30'59.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "27.476290, -99.516390", + "latitude": 27.47629, + "longitude": -99.51639 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 27°28'34.6\"N, 99°30'59.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 27.47629°", + "Step 4: Calculate longitude", + " Longitude: -99.51639°", + "FINAL ANSWER: 27.476290, -99.516390" + ] + }, + { + "task": "format_conversion", + "location_name": "Azhatebage", + "source_format": "decimal_degrees", + "source_string": "38.658830, 77.466400", + "target_format": "DMS", + "ground_truth": { + "target_string": "38°39'31.8\"N, 77°27'59.0\"E", + "latitude": 38.65883, + "longitude": 77.4664 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 38.658830, 77.466400", + " Latitude: 38.65883°", + " Longitude: 77.4664°", + "Step 2: Convert latitude to DMS", + " Degrees = 38", + " Minutes = int((38.658830 - 38) × 60) = 39", + " Seconds = ((38.658830 - 38) × 60 - 39) × 60 = 31.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 77", + " Minutes = 27", + " Seconds = 59.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 38°39'31.8\"N, 77°27'59.0\"E", + "FINAL ANSWER: 38°39'31.8\"N, 77°27'59.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Aweil", + "source_format": "DMS", + "source_string": "8°45'43.0\"N, 27°23'31.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "8.761940, 27.391940", + "latitude": 8.76194, + "longitude": 27.39194 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 8°45'43.0\"N, 27°23'31.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 8.76194°", + "Step 4: Calculate longitude", + " Longitude: 27.39194°", + "FINAL ANSWER: 8.761940, 27.391940" + ] + }, + { + "task": "format_conversion", + "location_name": "Loha", + "source_format": "DMS", + "source_string": "18°56'41.4\"N, 77°6'55.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "18.944840, 77.115530", + "latitude": 18.94484, + "longitude": 77.11553 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 18°56'41.4\"N, 77°6'55.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 18.94484°", + "Step 4: Calculate longitude", + " Longitude: 77.11553°", + "FINAL ANSWER: 18.944840, 77.115530" + ] + }, + { + "task": "format_conversion", + "location_name": "Şarkışla", + "source_format": "DMS", + "source_string": "39°21'6.7\"N, 36°24'35.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "39.351860, 36.409760", + "latitude": 39.35186, + "longitude": 36.40976 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 39°21'6.7\"N, 36°24'35.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 39.35186°", + "Step 4: Calculate longitude", + " Longitude: 36.40976°", + "FINAL ANSWER: 39.351860, 36.409760" + ] + }, + { + "task": "format_conversion", + "location_name": "Lukhovitsy", + "source_format": "DMS", + "source_string": "54°58'35.8\"N, 39°2'39.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "54.976610, 39.044400", + "latitude": 54.97661, + "longitude": 39.0444 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 54°58'35.8\"N, 39°2'39.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 54.97661°", + "Step 4: Calculate longitude", + " Longitude: 39.0444°", + "FINAL ANSWER: 54.976610, 39.044400" + ] + }, + { + "task": "format_conversion", + "location_name": "Vazhapadi", + "source_format": "decimal_degrees", + "source_string": "11.655410, 78.401170", + "target_format": "DMS", + "ground_truth": { + "target_string": "11°39'19.5\"N, 78°24'4.2\"E", + "latitude": 11.65541, + "longitude": 78.40117 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 11.655410, 78.401170", + " Latitude: 11.65541°", + " Longitude: 78.40117°", + "Step 2: Convert latitude to DMS", + " Degrees = 11", + " Minutes = int((11.655410 - 11) × 60) = 39", + " Seconds = ((11.655410 - 11) × 60 - 39) × 60 = 19.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 78", + " Minutes = 24", + " Seconds = 4.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 11°39'19.5\"N, 78°24'4.2\"E", + "FINAL ANSWER: 11°39'19.5\"N, 78°24'4.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Khān Yūnis", + "source_format": "decimal_degrees", + "source_string": "31.340180, 34.306270", + "target_format": "DMS", + "ground_truth": { + "target_string": "31°20'24.6\"N, 34°18'22.6\"E", + "latitude": 31.34018, + "longitude": 34.30627 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 31.340180, 34.306270", + " Latitude: 31.34018°", + " Longitude: 34.30627°", + "Step 2: Convert latitude to DMS", + " Degrees = 31", + " Minutes = int((31.340180 - 31) × 60) = 20", + " Seconds = ((31.340180 - 31) × 60 - 20) × 60 = 24.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 34", + " Minutes = 18", + " Seconds = 22.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 31°20'24.6\"N, 34°18'22.6\"E", + "FINAL ANSWER: 31°20'24.6\"N, 34°18'22.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Guwahati", + "source_format": "decimal_degrees", + "source_string": "26.184400, 91.745800", + "target_format": "DMS", + "ground_truth": { + "target_string": "26°11'3.8\"N, 91°44'44.9\"E", + "latitude": 26.1844, + "longitude": 91.7458 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 26.184400, 91.745800", + " Latitude: 26.1844°", + " Longitude: 91.7458°", + "Step 2: Convert latitude to DMS", + " Degrees = 26", + " Minutes = int((26.184400 - 26) × 60) = 11", + " Seconds = ((26.184400 - 26) × 60 - 11) × 60 = 3.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 91", + " Minutes = 44", + " Seconds = 44.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 26°11'3.8\"N, 91°44'44.9\"E", + "FINAL ANSWER: 26°11'3.8\"N, 91°44'44.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Bayombong", + "source_format": "DMS", + "source_string": "16°28'52.3\"N, 121°8'58.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "16.481200, 121.149700", + "latitude": 16.4812, + "longitude": 121.1497 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 16°28'52.3\"N, 121°8'58.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 16.4812°", + "Step 4: Calculate longitude", + " Longitude: 121.1497°", + "FINAL ANSWER: 16.481200, 121.149700" + ] + }, + { + "task": "format_conversion", + "location_name": "Nanyuki", + "source_format": "decimal_degrees", + "source_string": "0.006240, 37.073980", + "target_format": "DMS", + "ground_truth": { + "target_string": "0°0'22.5\"N, 37°4'26.3\"E", + "latitude": 0.00624, + "longitude": 37.07398 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 0.006240, 37.073980", + " Latitude: 0.00624°", + " Longitude: 37.07398°", + "Step 2: Convert latitude to DMS", + " Degrees = 0", + " Minutes = int((0.006240 - 0) × 60) = 0", + " Seconds = ((0.006240 - 0) × 60 - 0) × 60 = 22.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 37", + " Minutes = 4", + " Seconds = 26.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 0°0'22.5\"N, 37°4'26.3\"E", + "FINAL ANSWER: 0°0'22.5\"N, 37°4'26.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Karaj", + "source_format": "DMS", + "source_string": "35°49'57.6\"N, 50°59'29.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "35.832660, 50.991550", + "latitude": 35.83266, + "longitude": 50.99155 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 35°49'57.6\"N, 50°59'29.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 35.83266°", + "Step 4: Calculate longitude", + " Longitude: 50.99155°", + "FINAL ANSWER: 35.832660, 50.991550" + ] + }, + { + "task": "format_conversion", + "location_name": "Lutz", + "source_format": "decimal_degrees", + "source_string": "28.151120, -82.461480", + "target_format": "DMS", + "ground_truth": { + "target_string": "28°9'4.0\"N, 82°27'41.3\"W", + "latitude": 28.15112, + "longitude": -82.46148 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 28.151120, -82.461480", + " Latitude: 28.15112°", + " Longitude: -82.46148°", + "Step 2: Convert latitude to DMS", + " Degrees = 28", + " Minutes = int((28.151120 - 28) × 60) = 9", + " Seconds = ((28.151120 - 28) × 60 - 9) × 60 = 4.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 82", + " Minutes = 27", + " Seconds = 41.3", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 28°9'4.0\"N, 82°27'41.3\"W", + "FINAL ANSWER: 28°9'4.0\"N, 82°27'41.3\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Odintsovo", + "source_format": "DMS", + "source_string": "55°40'11.2\"N, 37°16'37.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "55.669770, 37.277160", + "latitude": 55.66977, + "longitude": 37.27716 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 55°40'11.2\"N, 37°16'37.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 55.66977°", + "Step 4: Calculate longitude", + " Longitude: 37.27716°", + "FINAL ANSWER: 55.669770, 37.277160" + ] + }, + { + "task": "format_conversion", + "location_name": "Ponto Novo", + "source_format": "DMS", + "source_string": "10°51'46.0\"S, 40°8'1.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-10.862780, -40.133610", + "latitude": -10.86278, + "longitude": -40.13361 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 10°51'46.0\"S, 40°8'1.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -10.86278°", + "Step 4: Calculate longitude", + " Longitude: -40.13361°", + "FINAL ANSWER: -10.862780, -40.133610" + ] + }, + { + "task": "format_conversion", + "location_name": "Bau", + "source_format": "DMS", + "source_string": "1°25'0.0\"N, 110°9'0.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "1.416670, 110.150000", + "latitude": 1.41667, + "longitude": 110.15 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 1°25'0.0\"N, 110°9'0.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 1.41667°", + "Step 4: Calculate longitude", + " Longitude: 110.15°", + "FINAL ANSWER: 1.416670, 110.150000" + ] + }, + { + "task": "format_conversion", + "location_name": "São Paulo do Potengi", + "source_format": "DMS", + "source_string": "5°53'42.0\"S, 35°45'46.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-5.895000, -35.762780", + "latitude": -5.895, + "longitude": -35.76278 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 5°53'42.0\"S, 35°45'46.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -5.895°", + "Step 4: Calculate longitude", + " Longitude: -35.76278°", + "FINAL ANSWER: -5.895000, -35.762780" + ] + }, + { + "task": "format_conversion", + "location_name": "Woerden", + "source_format": "DMS", + "source_string": "52°5'6.0\"N, 4°52'60.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "52.085000, 4.883330", + "latitude": 52.085, + "longitude": 4.88333 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 52°5'6.0\"N, 4°52'60.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 52.085°", + "Step 4: Calculate longitude", + " Longitude: 4.88333°", + "FINAL ANSWER: 52.085000, 4.883330" + ] + }, + { + "task": "format_conversion", + "location_name": "Bijuri", + "source_format": "DMS", + "source_string": "23°15'8.5\"N, 82°7'0.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "23.252360, 82.116730", + "latitude": 23.25236, + "longitude": 82.11673 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 23°15'8.5\"N, 82°7'0.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 23.25236°", + "Step 4: Calculate longitude", + " Longitude: 82.11673°", + "FINAL ANSWER: 23.252360, 82.116730" + ] + }, + { + "task": "format_conversion", + "location_name": "Valby", + "source_format": "decimal_degrees", + "source_string": "55.666130, 12.513880", + "target_format": "DMS", + "ground_truth": { + "target_string": "55°39'58.1\"N, 12°30'50.0\"E", + "latitude": 55.66613, + "longitude": 12.51388 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 55.666130, 12.513880", + " Latitude: 55.66613°", + " Longitude: 12.51388°", + "Step 2: Convert latitude to DMS", + " Degrees = 55", + " Minutes = int((55.666130 - 55) × 60) = 39", + " Seconds = ((55.666130 - 55) × 60 - 39) × 60 = 58.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 12", + " Minutes = 30", + " Seconds = 50.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 55°39'58.1\"N, 12°30'50.0\"E", + "FINAL ANSWER: 55°39'58.1\"N, 12°30'50.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Sonepur", + "source_format": "DMS", + "source_string": "25°41'45.9\"N, 85°10'0.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "25.696080, 85.166690", + "latitude": 25.69608, + "longitude": 85.16669 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 25°41'45.9\"N, 85°10'0.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 25.69608°", + "Step 4: Calculate longitude", + " Longitude: 85.16669°", + "FINAL ANSWER: 25.696080, 85.166690" + ] + }, + { + "task": "format_conversion", + "location_name": "Vacaville", + "source_format": "DMS", + "source_string": "38°21'23.7\"N, 121°59'15.9\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "38.356580, -121.987740", + "latitude": 38.35658, + "longitude": -121.98774 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 38°21'23.7\"N, 121°59'15.9\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 38.35658°", + "Step 4: Calculate longitude", + " Longitude: -121.98774°", + "FINAL ANSWER: 38.356580, -121.987740" + ] + }, + { + "task": "format_conversion", + "location_name": "Odorheiu Secuiesc", + "source_format": "DD", + "source_string": "46.300000, 25.300000", + "target_format": "DMS", + "ground_truth": { + "target_string": "46°17'60.0\"N, 25°18'0.0\"E", + "latitude": 46.3, + "longitude": 25.3 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: 46.300000, 25.300000", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 46°17'60.0\"N, 25°18'0.0\"E", + "FINAL ANSWER: 46°17'60.0\"N, 25°18'0.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Middelburg", + "source_format": "DMS", + "source_string": "31°29'34.3\"S, 25°0'22.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-31.492850, 25.006330", + "latitude": -31.49285, + "longitude": 25.00633 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 31°29'34.3\"S, 25°0'22.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -31.49285°", + "Step 4: Calculate longitude", + " Longitude: 25.00633°", + "FINAL ANSWER: -31.492850, 25.006330" + ] + }, + { + "task": "format_conversion", + "location_name": "Defiance", + "source_format": "DMS", + "source_string": "41°17'4.2\"N, 84°21'20.8\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "41.284490, -84.355780", + "latitude": 41.28449, + "longitude": -84.35578 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 41°17'4.2\"N, 84°21'20.8\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 41.28449°", + "Step 4: Calculate longitude", + " Longitude: -84.35578°", + "FINAL ANSWER: 41.284490, -84.355780" + ] + }, + { + "task": "format_conversion", + "location_name": "Cegléd", + "source_format": "DMS", + "source_string": "47°10'21.6\"N, 19°47'58.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "47.172660, 19.799520", + "latitude": 47.17266, + "longitude": 19.79952 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 47°10'21.6\"N, 19°47'58.3\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 47.17266°", + "Step 4: Calculate longitude", + " Longitude: 19.79952°", + "FINAL ANSWER: 47.172660, 19.799520" + ] + }, + { + "task": "format_conversion", + "location_name": "Glace Bay", + "source_format": "DMS", + "source_string": "46°11'49.0\"N, 59°57'25.1\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "46.196950, -59.956980", + "latitude": 46.19695, + "longitude": -59.95698 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 46°11'49.0\"N, 59°57'25.1\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 46.19695°", + "Step 4: Calculate longitude", + " Longitude: -59.95698°", + "FINAL ANSWER: 46.196950, -59.956980" + ] + }, + { + "task": "format_conversion", + "location_name": "East Setauket", + "source_format": "decimal_degrees", + "source_string": "40.941490, -73.105940", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°56'29.4\"N, 73°6'21.4\"W", + "latitude": 40.94149, + "longitude": -73.10594 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.941490, -73.105940", + " Latitude: 40.94149°", + " Longitude: -73.10594°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.941490 - 40) × 60) = 56", + " Seconds = ((40.941490 - 40) × 60 - 56) × 60 = 29.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 73", + " Minutes = 6", + " Seconds = 21.4", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 40°56'29.4\"N, 73°6'21.4\"W", + "FINAL ANSWER: 40°56'29.4\"N, 73°6'21.4\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Winchester", + "source_format": "decimal_degrees", + "source_string": "39.185660, -78.163330", + "target_format": "DMS", + "ground_truth": { + "target_string": "39°11'8.4\"N, 78°9'48.0\"W", + "latitude": 39.18566, + "longitude": -78.16333 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 39.185660, -78.163330", + " Latitude: 39.18566°", + " Longitude: -78.16333°", + "Step 2: Convert latitude to DMS", + " Degrees = 39", + " Minutes = int((39.185660 - 39) × 60) = 11", + " Seconds = ((39.185660 - 39) × 60 - 11) × 60 = 8.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 78", + " Minutes = 9", + " Seconds = 48.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 39°11'8.4\"N, 78°9'48.0\"W", + "FINAL ANSWER: 39°11'8.4\"N, 78°9'48.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Liaocheng", + "source_format": "decimal_degrees", + "source_string": "36.450640, 116.002470", + "target_format": "DMS", + "ground_truth": { + "target_string": "36°27'2.3\"N, 116°0'8.9\"E", + "latitude": 36.45064, + "longitude": 116.00247 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 36.450640, 116.002470", + " Latitude: 36.45064°", + " Longitude: 116.00247°", + "Step 2: Convert latitude to DMS", + " Degrees = 36", + " Minutes = int((36.450640 - 36) × 60) = 27", + " Seconds = ((36.450640 - 36) × 60 - 27) × 60 = 2.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 116", + " Minutes = 0", + " Seconds = 8.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 36°27'2.3\"N, 116°0'8.9\"E", + "FINAL ANSWER: 36°27'2.3\"N, 116°0'8.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Tondano", + "source_format": "DMS", + "source_string": "1°18'19.4\"N, 124°54'45.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "1.305400, 124.912610", + "latitude": 1.3054, + "longitude": 124.91261 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 1°18'19.4\"N, 124°54'45.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 1.3054°", + "Step 4: Calculate longitude", + " Longitude: 124.91261°", + "FINAL ANSWER: 1.305400, 124.912610" + ] + }, + { + "task": "format_conversion", + "location_name": "Santa Rosa de Osos", + "source_format": "decimal_degrees", + "source_string": "6.647380, -75.460310", + "target_format": "DMS", + "ground_truth": { + "target_string": "6°38'50.6\"N, 75°27'37.1\"W", + "latitude": 6.64738, + "longitude": -75.46031 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 6.647380, -75.460310", + " Latitude: 6.64738°", + " Longitude: -75.46031°", + "Step 2: Convert latitude to DMS", + " Degrees = 6", + " Minutes = int((6.647380 - 6) × 60) = 38", + " Seconds = ((6.647380 - 6) × 60 - 38) × 60 = 50.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 75", + " Minutes = 27", + " Seconds = 37.1", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 6°38'50.6\"N, 75°27'37.1\"W", + "FINAL ANSWER: 6°38'50.6\"N, 75°27'37.1\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Newport Pagnell", + "source_format": "DMS", + "source_string": "52°5'14.3\"N, 0°43'19.8\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "52.087310, -0.722180", + "latitude": 52.08731, + "longitude": -0.72218 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 52°5'14.3\"N, 0°43'19.8\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 52.08731°", + "Step 4: Calculate longitude", + " Longitude: -0.72218°", + "FINAL ANSWER: 52.087310, -0.722180" + ] + }, + { + "task": "format_conversion", + "location_name": "Magway", + "source_format": "decimal_degrees", + "source_string": "20.149560, 94.932460", + "target_format": "DMS", + "ground_truth": { + "target_string": "20°8'58.4\"N, 94°55'56.9\"E", + "latitude": 20.14956, + "longitude": 94.93246 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 20.149560, 94.932460", + " Latitude: 20.14956°", + " Longitude: 94.93246°", + "Step 2: Convert latitude to DMS", + " Degrees = 20", + " Minutes = int((20.149560 - 20) × 60) = 8", + " Seconds = ((20.149560 - 20) × 60 - 8) × 60 = 58.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 94", + " Minutes = 55", + " Seconds = 56.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 20°8'58.4\"N, 94°55'56.9\"E", + "FINAL ANSWER: 20°8'58.4\"N, 94°55'56.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Tange", + "source_format": "DMS", + "source_string": "34°37'39.5\"N, 104°50'26.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "34.627640, 104.840620", + "latitude": 34.62764, + "longitude": 104.84062 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 34°37'39.5\"N, 104°50'26.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 34.62764°", + "Step 4: Calculate longitude", + " Longitude: 104.84062°", + "FINAL ANSWER: 34.627640, 104.840620" + ] + }, + { + "task": "format_conversion", + "location_name": "General Roca", + "source_format": "DMS", + "source_string": "39°1'60.0\"S, 67°34'60.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-39.033330, -67.583330", + "latitude": -39.03333, + "longitude": -67.58333 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 39°1'60.0\"S, 67°34'60.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -39.03333°", + "Step 4: Calculate longitude", + " Longitude: -67.58333°", + "FINAL ANSWER: -39.033330, -67.583330" + ] + }, + { + "task": "format_conversion", + "location_name": "Ródos", + "source_format": "decimal_degrees", + "source_string": "36.435560, 28.221990", + "target_format": "DMS", + "ground_truth": { + "target_string": "36°26'8.0\"N, 28°13'19.2\"E", + "latitude": 36.43556, + "longitude": 28.22199 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 36.435560, 28.221990", + " Latitude: 36.43556°", + " Longitude: 28.22199°", + "Step 2: Convert latitude to DMS", + " Degrees = 36", + " Minutes = int((36.435560 - 36) × 60) = 26", + " Seconds = ((36.435560 - 36) × 60 - 26) × 60 = 8.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 28", + " Minutes = 13", + " Seconds = 19.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 36°26'8.0\"N, 28°13'19.2\"E", + "FINAL ANSWER: 36°26'8.0\"N, 28°13'19.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kampung Tanjung Minyak", + "source_format": "decimal_degrees", + "source_string": "2.266600, 102.200400", + "target_format": "DMS", + "ground_truth": { + "target_string": "2°15'59.8\"N, 102°12'1.4\"E", + "latitude": 2.2666, + "longitude": 102.2004 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 2.266600, 102.200400", + " Latitude: 2.2666°", + " Longitude: 102.2004°", + "Step 2: Convert latitude to DMS", + " Degrees = 2", + " Minutes = int((2.266600 - 2) × 60) = 15", + " Seconds = ((2.266600 - 2) × 60 - 15) × 60 = 59.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 102", + " Minutes = 12", + " Seconds = 1.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 2°15'59.8\"N, 102°12'1.4\"E", + "FINAL ANSWER: 2°15'59.8\"N, 102°12'1.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Tsushima", + "source_format": "decimal_degrees", + "source_string": "35.166670, 136.716670", + "target_format": "DMS", + "ground_truth": { + "target_string": "35°10'0.0\"N, 136°43'0.0\"E", + "latitude": 35.16667, + "longitude": 136.71667 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 35.166670, 136.716670", + " Latitude: 35.16667°", + " Longitude: 136.71667°", + "Step 2: Convert latitude to DMS", + " Degrees = 35", + " Minutes = int((35.166670 - 35) × 60) = 10", + " Seconds = ((35.166670 - 35) × 60 - 10) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 136", + " Minutes = 43", + " Seconds = 0.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 35°10'0.0\"N, 136°43'0.0\"E", + "FINAL ANSWER: 35°10'0.0\"N, 136°43'0.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Masuda", + "source_format": "DMS", + "source_string": "34°40'0.0\"N, 131°50'60.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "34.666670, 131.850000", + "latitude": 34.66667, + "longitude": 131.85 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 34°40'0.0\"N, 131°50'60.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 34.66667°", + "Step 4: Calculate longitude", + " Longitude: 131.85°", + "FINAL ANSWER: 34.666670, 131.850000" + ] + }, + { + "task": "format_conversion", + "location_name": "Petare", + "source_format": "decimal_degrees", + "source_string": "10.476790, -66.807860", + "target_format": "DMS", + "ground_truth": { + "target_string": "10°28'36.4\"N, 66°48'28.3\"W", + "latitude": 10.47679, + "longitude": -66.80786 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 10.476790, -66.807860", + " Latitude: 10.47679°", + " Longitude: -66.80786°", + "Step 2: Convert latitude to DMS", + " Degrees = 10", + " Minutes = int((10.476790 - 10) × 60) = 28", + " Seconds = ((10.476790 - 10) × 60 - 28) × 60 = 36.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 66", + " Minutes = 48", + " Seconds = 28.3", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 10°28'36.4\"N, 66°48'28.3\"W", + "FINAL ANSWER: 10°28'36.4\"N, 66°48'28.3\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Suita", + "source_format": "decimal_degrees", + "source_string": "34.761430, 135.515670", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°45'41.1\"N, 135°30'56.4\"E", + "latitude": 34.76143, + "longitude": 135.51567 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 34.761430, 135.515670", + " Latitude: 34.76143°", + " Longitude: 135.51567°", + "Step 2: Convert latitude to DMS", + " Degrees = 34", + " Minutes = int((34.761430 - 34) × 60) = 45", + " Seconds = ((34.761430 - 34) × 60 - 45) × 60 = 41.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 135", + " Minutes = 30", + " Seconds = 56.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 34°45'41.1\"N, 135°30'56.4\"E", + "FINAL ANSWER: 34°45'41.1\"N, 135°30'56.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Dubna", + "source_format": "DMS", + "source_string": "56°44'25.8\"N, 37°11'11.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "56.740490, 37.186480", + "latitude": 56.74049, + "longitude": 37.18648 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 56°44'25.8\"N, 37°11'11.3\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 56.74049°", + "Step 4: Calculate longitude", + " Longitude: 37.18648°", + "FINAL ANSWER: 56.740490, 37.186480" + ] + }, + { + "task": "format_conversion", + "location_name": "El Triunfo", + "source_format": "decimal_degrees", + "source_string": "-1.933330, -79.966670", + "target_format": "DMS", + "ground_truth": { + "target_string": "1°55'60.0\"S, 79°58'0.0\"W", + "latitude": -1.93333, + "longitude": -79.96667 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -1.933330, -79.966670", + " Latitude: -1.93333°", + " Longitude: -79.96667°", + "Step 2: Convert latitude to DMS", + " Degrees = 1", + " Minutes = int((1.933330 - 1) × 60) = 55", + " Seconds = ((1.933330 - 1) × 60 - 55) × 60 = 60.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 79", + " Minutes = 58", + " Seconds = 0.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 1°55'60.0\"S, 79°58'0.0\"W", + "FINAL ANSWER: 1°55'60.0\"S, 79°58'0.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Los Palacios", + "source_format": "decimal_degrees", + "source_string": "22.588820, -83.246710", + "target_format": "DMS", + "ground_truth": { + "target_string": "22°35'19.8\"N, 83°14'48.2\"W", + "latitude": 22.58882, + "longitude": -83.24671 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 22.588820, -83.246710", + " Latitude: 22.58882°", + " Longitude: -83.24671°", + "Step 2: Convert latitude to DMS", + " Degrees = 22", + " Minutes = int((22.588820 - 22) × 60) = 35", + " Seconds = ((22.588820 - 22) × 60 - 35) × 60 = 19.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 83", + " Minutes = 14", + " Seconds = 48.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 22°35'19.8\"N, 83°14'48.2\"W", + "FINAL ANSWER: 22°35'19.8\"N, 83°14'48.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Mūndka", + "source_format": "DMS", + "source_string": "28°40'48.4\"N, 77°1'47.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "28.680120, 77.029750", + "latitude": 28.68012, + "longitude": 77.02975 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 28°40'48.4\"N, 77°1'47.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 28.68012°", + "Step 4: Calculate longitude", + " Longitude: 77.02975°", + "FINAL ANSWER: 28.680120, 77.029750" + ] + }, + { + "task": "format_conversion", + "location_name": "Hikone", + "source_format": "decimal_degrees", + "source_string": "35.250000, 136.250000", + "target_format": "DMS", + "ground_truth": { + "target_string": "35°15'0.0\"N, 136°15'0.0\"E", + "latitude": 35.25, + "longitude": 136.25 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 35.250000, 136.250000", + " Latitude: 35.25°", + " Longitude: 136.25°", + "Step 2: Convert latitude to DMS", + " Degrees = 35", + " Minutes = int((35.250000 - 35) × 60) = 15", + " Seconds = ((35.250000 - 35) × 60 - 15) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 136", + " Minutes = 15", + " Seconds = 0.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 35°15'0.0\"N, 136°15'0.0\"E", + "FINAL ANSWER: 35°15'0.0\"N, 136°15'0.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Andes", + "source_format": "DMS", + "source_string": "5°39'22.0\"N, 75°52'43.6\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "5.656100, -75.878770", + "latitude": 5.6561, + "longitude": -75.87877 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 5°39'22.0\"N, 75°52'43.6\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 5.6561°", + "Step 4: Calculate longitude", + " Longitude: -75.87877°", + "FINAL ANSWER: 5.656100, -75.878770" + ] + }, + { + "task": "format_conversion", + "location_name": "Aylmer", + "source_format": "decimal_degrees", + "source_string": "45.400200, -75.806440", + "target_format": "DMS", + "ground_truth": { + "target_string": "45°24'0.7\"N, 75°48'23.2\"W", + "latitude": 45.4002, + "longitude": -75.80644 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 45.400200, -75.806440", + " Latitude: 45.4002°", + " Longitude: -75.80644°", + "Step 2: Convert latitude to DMS", + " Degrees = 45", + " Minutes = int((45.400200 - 45) × 60) = 24", + " Seconds = ((45.400200 - 45) × 60 - 24) × 60 = 0.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 75", + " Minutes = 48", + " Seconds = 23.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 45°24'0.7\"N, 75°48'23.2\"W", + "FINAL ANSWER: 45°24'0.7\"N, 75°48'23.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Al Fqih Ben Çalah", + "source_format": "DMS", + "source_string": "32°30'7.7\"N, 6°41'15.8\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "32.502130, -6.687710", + "latitude": 32.50213, + "longitude": -6.68771 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 32°30'7.7\"N, 6°41'15.8\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 32.50213°", + "Step 4: Calculate longitude", + " Longitude: -6.68771°", + "FINAL ANSWER: 32.502130, -6.687710" + ] + }, + { + "task": "format_conversion", + "location_name": "Raduzhny", + "source_format": "decimal_degrees", + "source_string": "62.096110, 77.475000", + "target_format": "DMS", + "ground_truth": { + "target_string": "62°5'46.0\"N, 77°28'30.0\"E", + "latitude": 62.09611, + "longitude": 77.475 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 62.096110, 77.475000", + " Latitude: 62.09611°", + " Longitude: 77.475°", + "Step 2: Convert latitude to DMS", + " Degrees = 62", + " Minutes = int((62.096110 - 62) × 60) = 5", + " Seconds = ((62.096110 - 62) × 60 - 5) × 60 = 46.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 77", + " Minutes = 28", + " Seconds = 30.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 62°5'46.0\"N, 77°28'30.0\"E", + "FINAL ANSWER: 62°5'46.0\"N, 77°28'30.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Mundelein", + "source_format": "DMS", + "source_string": "42°15'47.1\"N, 88°0'14.3\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "42.263080, -88.003970", + "latitude": 42.26308, + "longitude": -88.00397 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 42°15'47.1\"N, 88°0'14.3\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 42.26308°", + "Step 4: Calculate longitude", + " Longitude: -88.00397°", + "FINAL ANSWER: 42.263080, -88.003970" + ] + }, + { + "task": "format_conversion", + "location_name": "Itapicuru", + "source_format": "decimal_degrees", + "source_string": "-11.316670, -38.233330", + "target_format": "DMS", + "ground_truth": { + "target_string": "11°19'0.0\"S, 38°13'60.0\"W", + "latitude": -11.31667, + "longitude": -38.23333 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -11.316670, -38.233330", + " Latitude: -11.31667°", + " Longitude: -38.23333°", + "Step 2: Convert latitude to DMS", + " Degrees = 11", + " Minutes = int((11.316670 - 11) × 60) = 19", + " Seconds = ((11.316670 - 11) × 60 - 19) × 60 = 0.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 38", + " Minutes = 13", + " Seconds = 60.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 11°19'0.0\"S, 38°13'60.0\"W", + "FINAL ANSWER: 11°19'0.0\"S, 38°13'60.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Rawa Mazowiecka", + "source_format": "DMS", + "source_string": "51°45'51.7\"N, 20°15'17.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "51.764370, 20.254930", + "latitude": 51.76437, + "longitude": 20.25493 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 51°45'51.7\"N, 20°15'17.7\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 51.76437°", + "Step 4: Calculate longitude", + " Longitude: 20.25493°", + "FINAL ANSWER: 51.764370, 20.254930" + ] + }, + { + "task": "format_conversion", + "location_name": "Montclair", + "source_format": "decimal_degrees", + "source_string": "34.077510, -117.689780", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°4'39.0\"N, 117°41'23.2\"W", + "latitude": 34.07751, + "longitude": -117.68978 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 34.077510, -117.689780", + " Latitude: 34.07751°", + " Longitude: -117.68978°", + "Step 2: Convert latitude to DMS", + " Degrees = 34", + " Minutes = int((34.077510 - 34) × 60) = 4", + " Seconds = ((34.077510 - 34) × 60 - 4) × 60 = 39.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 117", + " Minutes = 41", + " Seconds = 23.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 34°4'39.0\"N, 117°41'23.2\"W", + "FINAL ANSWER: 34°4'39.0\"N, 117°41'23.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Vila do Conde", + "source_format": "decimal_degrees", + "source_string": "41.353260, -8.745160", + "target_format": "DMS", + "ground_truth": { + "target_string": "41°21'11.7\"N, 8°44'42.6\"W", + "latitude": 41.35326, + "longitude": -8.74516 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 41.353260, -8.745160", + " Latitude: 41.35326°", + " Longitude: -8.74516°", + "Step 2: Convert latitude to DMS", + " Degrees = 41", + " Minutes = int((41.353260 - 41) × 60) = 21", + " Seconds = ((41.353260 - 41) × 60 - 21) × 60 = 11.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 8", + " Minutes = 44", + " Seconds = 42.6", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 41°21'11.7\"N, 8°44'42.6\"W", + "FINAL ANSWER: 41°21'11.7\"N, 8°44'42.6\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Mwadui", + "source_format": "DMS", + "source_string": "3°32'60.0\"S, 33°36'0.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-3.550000, 33.600000", + "latitude": -3.55, + "longitude": 33.6 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 3°32'60.0\"S, 33°36'0.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -3.55°", + "Step 4: Calculate longitude", + " Longitude: 33.6°", + "FINAL ANSWER: -3.550000, 33.600000" + ] + }, + { + "task": "format_conversion", + "location_name": "Al Ḩirāk", + "source_format": "DMS", + "source_string": "32°44'58.1\"N, 36°18'21.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "32.749480, 36.305820", + "latitude": 32.74948, + "longitude": 36.30582 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 32°44'58.1\"N, 36°18'21.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 32.74948°", + "Step 4: Calculate longitude", + " Longitude: 36.30582°", + "FINAL ANSWER: 32.749480, 36.305820" + ] + }, + { + "task": "format_conversion", + "location_name": "Kepanjen", + "source_format": "decimal_degrees", + "source_string": "-8.130300, 112.572700", + "target_format": "DMS", + "ground_truth": { + "target_string": "8°7'49.1\"S, 112°34'21.7\"E", + "latitude": -8.1303, + "longitude": 112.5727 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -8.130300, 112.572700", + " Latitude: -8.1303°", + " Longitude: 112.5727°", + "Step 2: Convert latitude to DMS", + " Degrees = 8", + " Minutes = int((8.130300 - 8) × 60) = 7", + " Seconds = ((8.130300 - 8) × 60 - 7) × 60 = 49.1", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 112", + " Minutes = 34", + " Seconds = 21.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 8°7'49.1\"S, 112°34'21.7\"E", + "FINAL ANSWER: 8°7'49.1\"S, 112°34'21.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Hiré", + "source_format": "decimal_degrees", + "source_string": "6.188780, -5.294630", + "target_format": "DMS", + "ground_truth": { + "target_string": "6°11'19.6\"N, 5°17'40.7\"W", + "latitude": 6.18878, + "longitude": -5.29463 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 6.188780, -5.294630", + " Latitude: 6.18878°", + " Longitude: -5.29463°", + "Step 2: Convert latitude to DMS", + " Degrees = 6", + " Minutes = int((6.188780 - 6) × 60) = 11", + " Seconds = ((6.188780 - 6) × 60 - 11) × 60 = 19.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 5", + " Minutes = 17", + " Seconds = 40.7", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 6°11'19.6\"N, 5°17'40.7\"W", + "FINAL ANSWER: 6°11'19.6\"N, 5°17'40.7\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Zvenihorodka", + "source_format": "decimal_degrees", + "source_string": "49.077650, 30.960740", + "target_format": "DMS", + "ground_truth": { + "target_string": "49°4'39.5\"N, 30°57'38.7\"E", + "latitude": 49.07765, + "longitude": 30.96074 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 49.077650, 30.960740", + " Latitude: 49.07765°", + " Longitude: 30.96074°", + "Step 2: Convert latitude to DMS", + " Degrees = 49", + " Minutes = int((49.077650 - 49) × 60) = 4", + " Seconds = ((49.077650 - 49) × 60 - 4) × 60 = 39.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 30", + " Minutes = 57", + " Seconds = 38.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 49°4'39.5\"N, 30°57'38.7\"E", + "FINAL ANSWER: 49°4'39.5\"N, 30°57'38.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Bosanska Krupa", + "source_format": "decimal_degrees", + "source_string": "44.882500, 16.151390", + "target_format": "DMS", + "ground_truth": { + "target_string": "44°52'57.0\"N, 16°9'5.0\"E", + "latitude": 44.8825, + "longitude": 16.15139 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 44.882500, 16.151390", + " Latitude: 44.8825°", + " Longitude: 16.15139°", + "Step 2: Convert latitude to DMS", + " Degrees = 44", + " Minutes = int((44.882500 - 44) × 60) = 52", + " Seconds = ((44.882500 - 44) × 60 - 52) × 60 = 57.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 16", + " Minutes = 9", + " Seconds = 5.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 44°52'57.0\"N, 16°9'5.0\"E", + "FINAL ANSWER: 44°52'57.0\"N, 16°9'5.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Pidhorodne", + "source_format": "DMS", + "source_string": "48°34'27.2\"N, 35°5'49.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "48.574220, 35.097020", + "latitude": 48.57422, + "longitude": 35.09702 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 48°34'27.2\"N, 35°5'49.3\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 48.57422°", + "Step 4: Calculate longitude", + " Longitude: 35.09702°", + "FINAL ANSWER: 48.574220, 35.097020" + ] + }, + { + "task": "format_conversion", + "location_name": "Chinandega", + "source_format": "DMS", + "source_string": "12°37'46.2\"N, 87°7'52.8\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "12.629510, -87.131330", + "latitude": 12.62951, + "longitude": -87.13133 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 12°37'46.2\"N, 87°7'52.8\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 12.62951°", + "Step 4: Calculate longitude", + " Longitude: -87.13133°", + "FINAL ANSWER: 12.629510, -87.131330" + ] + }, + { + "task": "format_conversion", + "location_name": "Kotikawatta", + "source_format": "decimal_degrees", + "source_string": "6.926900, 79.909500", + "target_format": "DMS", + "ground_truth": { + "target_string": "6°55'36.8\"N, 79°54'34.2\"E", + "latitude": 6.9269, + "longitude": 79.9095 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 6.926900, 79.909500", + " Latitude: 6.9269°", + " Longitude: 79.9095°", + "Step 2: Convert latitude to DMS", + " Degrees = 6", + " Minutes = int((6.926900 - 6) × 60) = 55", + " Seconds = ((6.926900 - 6) × 60 - 55) × 60 = 36.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 79", + " Minutes = 54", + " Seconds = 34.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 6°55'36.8\"N, 79°54'34.2\"E", + "FINAL ANSWER: 6°55'36.8\"N, 79°54'34.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Ortigueira", + "source_format": "decimal_degrees", + "source_string": "-24.208330, -50.949440", + "target_format": "DMS", + "ground_truth": { + "target_string": "24°12'30.0\"S, 50°56'58.0\"W", + "latitude": -24.20833, + "longitude": -50.94944 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -24.208330, -50.949440", + " Latitude: -24.20833°", + " Longitude: -50.94944°", + "Step 2: Convert latitude to DMS", + " Degrees = 24", + " Minutes = int((24.208330 - 24) × 60) = 12", + " Seconds = ((24.208330 - 24) × 60 - 12) × 60 = 30.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 50", + " Minutes = 56", + " Seconds = 58.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 24°12'30.0\"S, 50°56'58.0\"W", + "FINAL ANSWER: 24°12'30.0\"S, 50°56'58.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Morowa", + "source_format": "DMS", + "source_string": "35°6'0.0\"N, 137°4'0.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "35.100000, 137.066670", + "latitude": 35.1, + "longitude": 137.06667 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 35°6'0.0\"N, 137°4'0.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 35.1°", + "Step 4: Calculate longitude", + " Longitude: 137.06667°", + "FINAL ANSWER: 35.100000, 137.066670" + ] + }, + { + "task": "format_conversion", + "location_name": "Chesterfield", + "source_format": "DMS", + "source_string": "53°15'0.0\"N, 1°25'0.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "53.250000, -1.416670", + "latitude": 53.25, + "longitude": -1.41667 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 53°15'0.0\"N, 1°25'0.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 53.25°", + "Step 4: Calculate longitude", + " Longitude: -1.41667°", + "FINAL ANSWER: 53.250000, -1.416670" + ] + }, + { + "task": "format_conversion", + "location_name": "Shahrixon", + "source_format": "DMS", + "source_string": "40°42'47.9\"N, 72°3'25.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.713310, 72.057060", + "latitude": 40.71331, + "longitude": 72.05706 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°42'47.9\"N, 72°3'25.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 40.71331°", + "Step 4: Calculate longitude", + " Longitude: 72.05706°", + "FINAL ANSWER: 40.713310, 72.057060" + ] + }, + { + "task": "format_conversion", + "location_name": "Fengrun", + "source_format": "DMS", + "source_string": "39°49'35.9\"N, 118°8'17.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "39.826640, 118.138220", + "latitude": 39.82664, + "longitude": 118.13822 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 39°49'35.9\"N, 118°8'17.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 39.82664°", + "Step 4: Calculate longitude", + " Longitude: 118.13822°", + "FINAL ANSWER: 39.826640, 118.138220" + ] + }, + { + "task": "format_conversion", + "location_name": "Handlová", + "source_format": "DMS", + "source_string": "48°43'39.4\"N, 18°45'36.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "48.727600, 18.760120", + "latitude": 48.7276, + "longitude": 18.76012 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 48°43'39.4\"N, 18°45'36.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 48.7276°", + "Step 4: Calculate longitude", + " Longitude: 18.76012°", + "FINAL ANSWER: 48.727600, 18.760120" + ] + }, + { + "task": "format_conversion", + "location_name": "Sun City", + "source_format": "decimal_degrees", + "source_string": "33.709190, -117.197260", + "target_format": "DMS", + "ground_truth": { + "target_string": "33°42'33.1\"N, 117°11'50.1\"W", + "latitude": 33.70919, + "longitude": -117.19726 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 33.709190, -117.197260", + " Latitude: 33.70919°", + " Longitude: -117.19726°", + "Step 2: Convert latitude to DMS", + " Degrees = 33", + " Minutes = int((33.709190 - 33) × 60) = 42", + " Seconds = ((33.709190 - 33) × 60 - 42) × 60 = 33.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 117", + " Minutes = 11", + " Seconds = 50.1", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 33°42'33.1\"N, 117°11'50.1\"W", + "FINAL ANSWER: 33°42'33.1\"N, 117°11'50.1\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Theniet el Had", + "source_format": "decimal_degrees", + "source_string": "35.871110, 2.028060", + "target_format": "DMS", + "ground_truth": { + "target_string": "35°52'16.0\"N, 2°1'41.0\"E", + "latitude": 35.87111, + "longitude": 2.02806 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 35.871110, 2.028060", + " Latitude: 35.87111°", + " Longitude: 2.02806°", + "Step 2: Convert latitude to DMS", + " Degrees = 35", + " Minutes = int((35.871110 - 35) × 60) = 52", + " Seconds = ((35.871110 - 35) × 60 - 52) × 60 = 16.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 2", + " Minutes = 1", + " Seconds = 41.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 35°52'16.0\"N, 2°1'41.0\"E", + "FINAL ANSWER: 35°52'16.0\"N, 2°1'41.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Brant", + "source_format": "decimal_degrees", + "source_string": "43.133400, -80.349670", + "target_format": "DMS", + "ground_truth": { + "target_string": "43°8'0.2\"N, 80°20'58.8\"W", + "latitude": 43.1334, + "longitude": -80.34967 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 43.133400, -80.349670", + " Latitude: 43.1334°", + " Longitude: -80.34967°", + "Step 2: Convert latitude to DMS", + " Degrees = 43", + " Minutes = int((43.133400 - 43) × 60) = 8", + " Seconds = ((43.133400 - 43) × 60 - 8) × 60 = 0.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 80", + " Minutes = 20", + " Seconds = 58.8", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 43°8'0.2\"N, 80°20'58.8\"W", + "FINAL ANSWER: 43°8'0.2\"N, 80°20'58.8\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Morón", + "source_format": "DMS", + "source_string": "34°39'4.2\"S, 58°37'19.4\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-34.651180, -58.622050", + "latitude": -34.65118, + "longitude": -58.62205 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 34°39'4.2\"S, 58°37'19.4\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -34.65118°", + "Step 4: Calculate longitude", + " Longitude: -58.62205°", + "FINAL ANSWER: -34.651180, -58.622050" + ] + }, + { + "task": "format_conversion", + "location_name": "Bielsko-Biala", + "source_format": "DMS", + "source_string": "49°49'20.8\"N, 19°2'48.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "49.822450, 19.046860", + "latitude": 49.82245, + "longitude": 19.04686 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 49°49'20.8\"N, 19°2'48.7\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 49.82245°", + "Step 4: Calculate longitude", + " Longitude: 19.04686°", + "FINAL ANSWER: 49.822450, 19.046860" + ] + }, + { + "task": "format_conversion", + "location_name": "Bānswāda", + "source_format": "DMS", + "source_string": "18°22'38.1\"N, 77°52'48.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "18.377250, 77.880070", + "latitude": 18.37725, + "longitude": 77.88007 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 18°22'38.1\"N, 77°52'48.3\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 18.37725°", + "Step 4: Calculate longitude", + " Longitude: 77.88007°", + "FINAL ANSWER: 18.377250, 77.880070" + ] + }, + { + "task": "format_conversion", + "location_name": "Kizlyar", + "source_format": "DMS", + "source_string": "43°50'48.7\"N, 46°42'35.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "43.846860, 46.709770", + "latitude": 43.84686, + "longitude": 46.70977 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 43°50'48.7\"N, 46°42'35.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 43.84686°", + "Step 4: Calculate longitude", + " Longitude: 46.70977°", + "FINAL ANSWER: 43.846860, 46.709770" + ] + }, + { + "task": "format_conversion", + "location_name": "Tuwaite", + "source_format": "decimal_degrees", + "source_string": "37.344880, 79.768100", + "target_format": "DMS", + "ground_truth": { + "target_string": "37°20'41.6\"N, 79°46'5.2\"E", + "latitude": 37.34488, + "longitude": 79.7681 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 37.344880, 79.768100", + " Latitude: 37.34488°", + " Longitude: 79.7681°", + "Step 2: Convert latitude to DMS", + " Degrees = 37", + " Minutes = int((37.344880 - 37) × 60) = 20", + " Seconds = ((37.344880 - 37) × 60 - 20) × 60 = 41.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 79", + " Minutes = 46", + " Seconds = 5.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 37°20'41.6\"N, 79°46'5.2\"E", + "FINAL ANSWER: 37°20'41.6\"N, 79°46'5.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Ferreiros", + "source_format": "DMS", + "source_string": "7°26'51.0\"S, 35°14'39.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-7.447500, -35.244170", + "latitude": -7.4475, + "longitude": -35.24417 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 7°26'51.0\"S, 35°14'39.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -7.4475°", + "Step 4: Calculate longitude", + " Longitude: -35.24417°", + "FINAL ANSWER: -7.447500, -35.244170" + ] + }, + { + "task": "format_conversion", + "location_name": "Khangah Dogran", + "source_format": "decimal_degrees", + "source_string": "31.832940, 73.622130", + "target_format": "DMS", + "ground_truth": { + "target_string": "31°49'58.6\"N, 73°37'19.7\"E", + "latitude": 31.83294, + "longitude": 73.62213 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 31.832940, 73.622130", + " Latitude: 31.83294°", + " Longitude: 73.62213°", + "Step 2: Convert latitude to DMS", + " Degrees = 31", + " Minutes = int((31.832940 - 31) × 60) = 49", + " Seconds = ((31.832940 - 31) × 60 - 49) × 60 = 58.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 73", + " Minutes = 37", + " Seconds = 19.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 31°49'58.6\"N, 73°37'19.7\"E", + "FINAL ANSWER: 31°49'58.6\"N, 73°37'19.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Gropiusstadt", + "source_format": "DMS", + "source_string": "52°25'36.7\"N, 13°27'37.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "52.426860, 13.460530", + "latitude": 52.42686, + "longitude": 13.46053 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 52°25'36.7\"N, 13°27'37.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 52.42686°", + "Step 4: Calculate longitude", + " Longitude: 13.46053°", + "FINAL ANSWER: 52.426860, 13.460530" + ] + }, + { + "task": "format_conversion", + "location_name": "Metpalle", + "source_format": "DD", + "source_string": "18.847240, 78.625630", + "target_format": "DMS", + "ground_truth": { + "target_string": "18°50'50.1\"N, 78°37'32.3\"E", + "latitude": 18.84724, + "longitude": 78.62563 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: 18.847240, 78.625630", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 18°50'50.1\"N, 78°37'32.3\"E", + "FINAL ANSWER: 18°50'50.1\"N, 78°37'32.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Santa Cruz de la Palma", + "source_format": "DMS", + "source_string": "28°41'0.6\"N, 17°45'51.2\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "28.683510, -17.764210", + "latitude": 28.68351, + "longitude": -17.76421 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 28°41'0.6\"N, 17°45'51.2\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 28.68351°", + "Step 4: Calculate longitude", + " Longitude: -17.76421°", + "FINAL ANSWER: 28.683510, -17.764210" + ] + }, + { + "task": "format_conversion", + "location_name": "Neelankarai", + "source_format": "DMS", + "source_string": "12°56'58.2\"N, 80°15'33.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "12.949500, 80.259200", + "latitude": 12.9495, + "longitude": 80.2592 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 12°56'58.2\"N, 80°15'33.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 12.9495°", + "Step 4: Calculate longitude", + " Longitude: 80.2592°", + "FINAL ANSWER: 12.949500, 80.259200" + ] + }, + { + "task": "format_conversion", + "location_name": "Skanes", + "source_format": "DMS", + "source_string": "35°46'29.6\"N, 10°47'40.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "35.774900, 10.794640", + "latitude": 35.7749, + "longitude": 10.79464 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 35°46'29.6\"N, 10°47'40.7\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 35.7749°", + "Step 4: Calculate longitude", + " Longitude: 10.79464°", + "FINAL ANSWER: 35.774900, 10.794640" + ] + }, + { + "task": "format_conversion", + "location_name": "Traunreut", + "source_format": "decimal_degrees", + "source_string": "47.962690, 12.592310", + "target_format": "DMS", + "ground_truth": { + "target_string": "47°57'45.7\"N, 12°35'32.3\"E", + "latitude": 47.96269, + "longitude": 12.59231 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 47.962690, 12.592310", + " Latitude: 47.96269°", + " Longitude: 12.59231°", + "Step 2: Convert latitude to DMS", + " Degrees = 47", + " Minutes = int((47.962690 - 47) × 60) = 57", + " Seconds = ((47.962690 - 47) × 60 - 57) × 60 = 45.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 12", + " Minutes = 35", + " Seconds = 32.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 47°57'45.7\"N, 12°35'32.3\"E", + "FINAL ANSWER: 47°57'45.7\"N, 12°35'32.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Jiangkou", + "source_format": "decimal_degrees", + "source_string": "25.486940, 119.198340", + "target_format": "DMS", + "ground_truth": { + "target_string": "25°29'13.0\"N, 119°11'54.0\"E", + "latitude": 25.48694, + "longitude": 119.19834 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 25.486940, 119.198340", + " Latitude: 25.48694°", + " Longitude: 119.19834°", + "Step 2: Convert latitude to DMS", + " Degrees = 25", + " Minutes = int((25.486940 - 25) × 60) = 29", + " Seconds = ((25.486940 - 25) × 60 - 29) × 60 = 13.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 119", + " Minutes = 11", + " Seconds = 54.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 25°29'13.0\"N, 119°11'54.0\"E", + "FINAL ANSWER: 25°29'13.0\"N, 119°11'54.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "South Yarra", + "source_format": "DMS", + "source_string": "37°50'18.0\"S, 144°59'29.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-37.838340, 144.991490", + "latitude": -37.83834, + "longitude": 144.99149 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 37°50'18.0\"S, 144°59'29.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -37.83834°", + "Step 4: Calculate longitude", + " Longitude: 144.99149°", + "FINAL ANSWER: -37.838340, 144.991490" + ] + }, + { + "task": "format_conversion", + "location_name": "Cafelândia", + "source_format": "decimal_degrees", + "source_string": "-24.617780, -53.320000", + "target_format": "DMS", + "ground_truth": { + "target_string": "24°37'4.0\"S, 53°19'12.0\"W", + "latitude": -24.61778, + "longitude": -53.32 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -24.617780, -53.320000", + " Latitude: -24.61778°", + " Longitude: -53.32°", + "Step 2: Convert latitude to DMS", + " Degrees = 24", + " Minutes = int((24.617780 - 24) × 60) = 37", + " Seconds = ((24.617780 - 24) × 60 - 37) × 60 = 4.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 53", + " Minutes = 19", + " Seconds = 12.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 24°37'4.0\"S, 53°19'12.0\"W", + "FINAL ANSWER: 24°37'4.0\"S, 53°19'12.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Jieshi", + "source_format": "DMS", + "source_string": "22°48'37.0\"N, 115°49'50.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "22.810270, 115.830580", + "latitude": 22.81027, + "longitude": 115.83058 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 22°48'37.0\"N, 115°49'50.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 22.81027°", + "Step 4: Calculate longitude", + " Longitude: 115.83058°", + "FINAL ANSWER: 22.810270, 115.830580" + ] + }, + { + "task": "format_conversion", + "location_name": "Changnyeong", + "source_format": "decimal_degrees", + "source_string": "35.541450, 128.495060", + "target_format": "DMS", + "ground_truth": { + "target_string": "35°32'29.2\"N, 128°29'42.2\"E", + "latitude": 35.54145, + "longitude": 128.49506 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 35.541450, 128.495060", + " Latitude: 35.54145°", + " Longitude: 128.49506°", + "Step 2: Convert latitude to DMS", + " Degrees = 35", + " Minutes = int((35.541450 - 35) × 60) = 32", + " Seconds = ((35.541450 - 35) × 60 - 32) × 60 = 29.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 128", + " Minutes = 29", + " Seconds = 42.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 35°32'29.2\"N, 128°29'42.2\"E", + "FINAL ANSWER: 35°32'29.2\"N, 128°29'42.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Wharton", + "source_format": "DD", + "source_string": "39.926780, -75.157120", + "target_format": "DMS", + "ground_truth": { + "target_string": "39°55'36.4\"N, 75°9'25.6\"W", + "latitude": 39.92678, + "longitude": -75.15712 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: 39.926780, -75.157120", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 39°55'36.4\"N, 75°9'25.6\"W", + "FINAL ANSWER: 39°55'36.4\"N, 75°9'25.6\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Lansdale", + "source_format": "DMS", + "source_string": "40°14'29.4\"N, 75°17'1.6\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.241500, -75.283790", + "latitude": 40.2415, + "longitude": -75.28379 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°14'29.4\"N, 75°17'1.6\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 40.2415°", + "Step 4: Calculate longitude", + " Longitude: -75.28379°", + "FINAL ANSWER: 40.241500, -75.283790" + ] + }, + { + "task": "format_conversion", + "location_name": "Talattala", + "source_format": "decimal_degrees", + "source_string": "8.873820, 76.671580", + "target_format": "DMS", + "ground_truth": { + "target_string": "8°52'25.8\"N, 76°40'17.7\"E", + "latitude": 8.87382, + "longitude": 76.67158 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 8.873820, 76.671580", + " Latitude: 8.87382°", + " Longitude: 76.67158°", + "Step 2: Convert latitude to DMS", + " Degrees = 8", + " Minutes = int((8.873820 - 8) × 60) = 52", + " Seconds = ((8.873820 - 8) × 60 - 52) × 60 = 25.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 76", + " Minutes = 40", + " Seconds = 17.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 8°52'25.8\"N, 76°40'17.7\"E", + "FINAL ANSWER: 8°52'25.8\"N, 76°40'17.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Springville", + "source_format": "decimal_degrees", + "source_string": "40.165230, -111.610750", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°9'54.8\"N, 111°36'38.7\"W", + "latitude": 40.16523, + "longitude": -111.61075 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.165230, -111.610750", + " Latitude: 40.16523°", + " Longitude: -111.61075°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.165230 - 40) × 60) = 9", + " Seconds = ((40.165230 - 40) × 60 - 9) × 60 = 54.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 111", + " Minutes = 36", + " Seconds = 38.7", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 40°9'54.8\"N, 111°36'38.7\"W", + "FINAL ANSWER: 40°9'54.8\"N, 111°36'38.7\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Arapiraca", + "source_format": "DMS", + "source_string": "9°45'9.0\"S, 36°39'40.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-9.752500, -36.661110", + "latitude": -9.7525, + "longitude": -36.66111 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 9°45'9.0\"S, 36°39'40.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -9.7525°", + "Step 4: Calculate longitude", + " Longitude: -36.66111°", + "FINAL ANSWER: -9.752500, -36.661110" + ] + }, + { + "task": "format_conversion", + "location_name": "Springfield Gardens", + "source_format": "DMS", + "source_string": "40°39'47.2\"N, 73°45'44.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.663120, -73.762210", + "latitude": 40.66312, + "longitude": -73.76221 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°39'47.2\"N, 73°45'44.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 40.66312°", + "Step 4: Calculate longitude", + " Longitude: -73.76221°", + "FINAL ANSWER: 40.663120, -73.762210" + ] + }, + { + "task": "format_conversion", + "location_name": "Santa Cruz", + "source_format": "decimal_degrees", + "source_string": "-34.638810, -71.365760", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°38'19.7\"S, 71°21'56.7\"W", + "latitude": -34.63881, + "longitude": -71.36576 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -34.638810, -71.365760", + " Latitude: -34.63881°", + " Longitude: -71.36576°", + "Step 2: Convert latitude to DMS", + " Degrees = 34", + " Minutes = int((34.638810 - 34) × 60) = 38", + " Seconds = ((34.638810 - 34) × 60 - 38) × 60 = 19.7", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 71", + " Minutes = 21", + " Seconds = 56.7", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 34°38'19.7\"S, 71°21'56.7\"W", + "FINAL ANSWER: 34°38'19.7\"S, 71°21'56.7\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "South Euclid", + "source_format": "decimal_degrees", + "source_string": "41.523110, -81.518460", + "target_format": "DMS", + "ground_truth": { + "target_string": "41°31'23.2\"N, 81°31'6.5\"W", + "latitude": 41.52311, + "longitude": -81.51846 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 41.523110, -81.518460", + " Latitude: 41.52311°", + " Longitude: -81.51846°", + "Step 2: Convert latitude to DMS", + " Degrees = 41", + " Minutes = int((41.523110 - 41) × 60) = 31", + " Seconds = ((41.523110 - 41) × 60 - 31) × 60 = 23.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 81", + " Minutes = 31", + " Seconds = 6.5", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 41°31'23.2\"N, 81°31'6.5\"W", + "FINAL ANSWER: 41°31'23.2\"N, 81°31'6.5\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Roseburg", + "source_format": "DMS", + "source_string": "43°12'59.4\"N, 123°20'30.3\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "43.216500, -123.341740", + "latitude": 43.2165, + "longitude": -123.34174 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 43°12'59.4\"N, 123°20'30.3\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 43.2165°", + "Step 4: Calculate longitude", + " Longitude: -123.34174°", + "FINAL ANSWER: 43.216500, -123.341740" + ] + }, + { + "task": "format_conversion", + "location_name": "Voznesensk", + "source_format": "decimal_degrees", + "source_string": "47.562180, 31.336020", + "target_format": "DMS", + "ground_truth": { + "target_string": "47°33'43.8\"N, 31°20'9.7\"E", + "latitude": 47.56218, + "longitude": 31.33602 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 47.562180, 31.336020", + " Latitude: 47.56218°", + " Longitude: 31.33602°", + "Step 2: Convert latitude to DMS", + " Degrees = 47", + " Minutes = int((47.562180 - 47) × 60) = 33", + " Seconds = ((47.562180 - 47) × 60 - 33) × 60 = 43.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 31", + " Minutes = 20", + " Seconds = 9.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 47°33'43.8\"N, 31°20'9.7\"E", + "FINAL ANSWER: 47°33'43.8\"N, 31°20'9.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Mandalay", + "source_format": "DMS", + "source_string": "21°58'29.0\"N, 96°5'0.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "21.974730, 96.083590", + "latitude": 21.97473, + "longitude": 96.08359 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 21°58'29.0\"N, 96°5'0.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 21.97473°", + "Step 4: Calculate longitude", + " Longitude: 96.08359°", + "FINAL ANSWER: 21.974730, 96.083590" + ] + }, + { + "task": "format_conversion", + "location_name": "Monopoli", + "source_format": "DMS", + "source_string": "40°56'57.0\"N, 17°17'49.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.949180, 17.297170", + "latitude": 40.94918, + "longitude": 17.29717 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°56'57.0\"N, 17°17'49.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 40.94918°", + "Step 4: Calculate longitude", + " Longitude: 17.29717°", + "FINAL ANSWER: 40.949180, 17.297170" + ] + }, + { + "task": "format_conversion", + "location_name": "Yintai", + "source_format": "decimal_degrees", + "source_string": "35.115240, 109.097020", + "target_format": "DMS", + "ground_truth": { + "target_string": "35°6'54.9\"N, 109°5'49.3\"E", + "latitude": 35.11524, + "longitude": 109.09702 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 35.115240, 109.097020", + " Latitude: 35.11524°", + " Longitude: 109.09702°", + "Step 2: Convert latitude to DMS", + " Degrees = 35", + " Minutes = int((35.115240 - 35) × 60) = 6", + " Seconds = ((35.115240 - 35) × 60 - 6) × 60 = 54.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 109", + " Minutes = 5", + " Seconds = 49.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 35°6'54.9\"N, 109°5'49.3\"E", + "FINAL ANSWER: 35°6'54.9\"N, 109°5'49.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Rahata", + "source_format": "decimal_degrees", + "source_string": "19.716640, 74.481090", + "target_format": "DMS", + "ground_truth": { + "target_string": "19°42'59.9\"N, 74°28'51.9\"E", + "latitude": 19.71664, + "longitude": 74.48109 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 19.716640, 74.481090", + " Latitude: 19.71664°", + " Longitude: 74.48109°", + "Step 2: Convert latitude to DMS", + " Degrees = 19", + " Minutes = int((19.716640 - 19) × 60) = 42", + " Seconds = ((19.716640 - 19) × 60 - 42) × 60 = 59.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 74", + " Minutes = 28", + " Seconds = 51.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 19°42'59.9\"N, 74°28'51.9\"E", + "FINAL ANSWER: 19°42'59.9\"N, 74°28'51.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Florida Ridge", + "source_format": "DMS", + "source_string": "27°34'49.1\"N, 80°23'12.2\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "27.580310, -80.386720", + "latitude": 27.58031, + "longitude": -80.38672 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 27°34'49.1\"N, 80°23'12.2\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 27.58031°", + "Step 4: Calculate longitude", + " Longitude: -80.38672°", + "FINAL ANSWER: 27.580310, -80.386720" + ] + }, + { + "task": "format_conversion", + "location_name": "Lyon 06", + "source_format": "decimal_degrees", + "source_string": "45.767880, 4.850640", + "target_format": "DMS", + "ground_truth": { + "target_string": "45°46'4.4\"N, 4°51'2.3\"E", + "latitude": 45.76788, + "longitude": 4.85064 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 45.767880, 4.850640", + " Latitude: 45.76788°", + " Longitude: 4.85064°", + "Step 2: Convert latitude to DMS", + " Degrees = 45", + " Minutes = int((45.767880 - 45) × 60) = 46", + " Seconds = ((45.767880 - 45) × 60 - 46) × 60 = 4.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 4", + " Minutes = 51", + " Seconds = 2.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 45°46'4.4\"N, 4°51'2.3\"E", + "FINAL ANSWER: 45°46'4.4\"N, 4°51'2.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Ditzingen", + "source_format": "decimal_degrees", + "source_string": "48.826720, 9.067030", + "target_format": "DMS", + "ground_truth": { + "target_string": "48°49'36.2\"N, 9°4'1.3\"E", + "latitude": 48.82672, + "longitude": 9.06703 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 48.826720, 9.067030", + " Latitude: 48.82672°", + " Longitude: 9.06703°", + "Step 2: Convert latitude to DMS", + " Degrees = 48", + " Minutes = int((48.826720 - 48) × 60) = 49", + " Seconds = ((48.826720 - 48) × 60 - 49) × 60 = 36.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 9", + " Minutes = 4", + " Seconds = 1.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 48°49'36.2\"N, 9°4'1.3\"E", + "FINAL ANSWER: 48°49'36.2\"N, 9°4'1.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Ixtapaluca", + "source_format": "decimal_degrees", + "source_string": "19.315560, -98.882840", + "target_format": "DMS", + "ground_truth": { + "target_string": "19°18'56.0\"N, 98°52'58.2\"W", + "latitude": 19.31556, + "longitude": -98.88284 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 19.315560, -98.882840", + " Latitude: 19.31556°", + " Longitude: -98.88284°", + "Step 2: Convert latitude to DMS", + " Degrees = 19", + " Minutes = int((19.315560 - 19) × 60) = 18", + " Seconds = ((19.315560 - 19) × 60 - 18) × 60 = 56.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 98", + " Minutes = 52", + " Seconds = 58.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 19°18'56.0\"N, 98°52'58.2\"W", + "FINAL ANSWER: 19°18'56.0\"N, 98°52'58.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Sulechów", + "source_format": "decimal_degrees", + "source_string": "52.083620, 15.625130", + "target_format": "DMS", + "ground_truth": { + "target_string": "52°5'1.0\"N, 15°37'30.5\"E", + "latitude": 52.08362, + "longitude": 15.62513 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 52.083620, 15.625130", + " Latitude: 52.08362°", + " Longitude: 15.62513°", + "Step 2: Convert latitude to DMS", + " Degrees = 52", + " Minutes = int((52.083620 - 52) × 60) = 5", + " Seconds = ((52.083620 - 52) × 60 - 5) × 60 = 1.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 15", + " Minutes = 37", + " Seconds = 30.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 52°5'1.0\"N, 15°37'30.5\"E", + "FINAL ANSWER: 52°5'1.0\"N, 15°37'30.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Herriman", + "source_format": "decimal_degrees", + "source_string": "40.514110, -112.032990", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°30'50.8\"N, 112°1'58.8\"W", + "latitude": 40.51411, + "longitude": -112.03299 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.514110, -112.032990", + " Latitude: 40.51411°", + " Longitude: -112.03299°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.514110 - 40) × 60) = 30", + " Seconds = ((40.514110 - 40) × 60 - 30) × 60 = 50.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 112", + " Minutes = 1", + " Seconds = 58.8", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 40°30'50.8\"N, 112°1'58.8\"W", + "FINAL ANSWER: 40°30'50.8\"N, 112°1'58.8\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Assi Bou Nif", + "source_format": "DMS", + "source_string": "35°41'32.0\"N, 0°29'58.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "35.692220, -0.499440", + "latitude": 35.69222, + "longitude": -0.49944 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 35°41'32.0\"N, 0°29'58.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 35.69222°", + "Step 4: Calculate longitude", + " Longitude: -0.49944°", + "FINAL ANSWER: 35.692220, -0.499440" + ] + }, + { + "task": "format_conversion", + "location_name": "Addison", + "source_format": "DMS", + "source_string": "32°57'42.4\"N, 96°49'45.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "32.961790, -96.829170", + "latitude": 32.96179, + "longitude": -96.82917 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 32°57'42.4\"N, 96°49'45.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 32.96179°", + "Step 4: Calculate longitude", + " Longitude: -96.82917°", + "FINAL ANSWER: 32.961790, -96.829170" + ] + }, + { + "task": "format_conversion", + "location_name": "Starokostyantyniv", + "source_format": "DMS", + "source_string": "49°45'18.8\"N, 27°12'44.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "49.755220, 27.212290", + "latitude": 49.75522, + "longitude": 27.21229 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 49°45'18.8\"N, 27°12'44.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 49.75522°", + "Step 4: Calculate longitude", + " Longitude: 27.21229°", + "FINAL ANSWER: 49.755220, 27.212290" + ] + }, + { + "task": "format_conversion", + "location_name": "Staßfurt", + "source_format": "DMS", + "source_string": "51°51'6.7\"N, 11°35'6.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "51.851860, 11.585080", + "latitude": 51.85186, + "longitude": 11.58508 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 51°51'6.7\"N, 11°35'6.3\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 51.85186°", + "Step 4: Calculate longitude", + " Longitude: 11.58508°", + "FINAL ANSWER: 51.851860, 11.585080" + ] + }, + { + "task": "format_conversion", + "location_name": "Nantou", + "source_format": "decimal_degrees", + "source_string": "22.535570, 113.915640", + "target_format": "DMS", + "ground_truth": { + "target_string": "22°32'8.1\"N, 113°54'56.3\"E", + "latitude": 22.53557, + "longitude": 113.91564 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 22.535570, 113.915640", + " Latitude: 22.53557°", + " Longitude: 113.91564°", + "Step 2: Convert latitude to DMS", + " Degrees = 22", + " Minutes = int((22.535570 - 22) × 60) = 32", + " Seconds = ((22.535570 - 22) × 60 - 32) × 60 = 8.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 113", + " Minutes = 54", + " Seconds = 56.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 22°32'8.1\"N, 113°54'56.3\"E", + "FINAL ANSWER: 22°32'8.1\"N, 113°54'56.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Bosque Saúde", + "source_format": "decimal_degrees", + "source_string": "-23.609260, -46.623040", + "target_format": "DMS", + "ground_truth": { + "target_string": "23°36'33.3\"S, 46°37'22.9\"W", + "latitude": -23.60926, + "longitude": -46.62304 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -23.609260, -46.623040", + " Latitude: -23.60926°", + " Longitude: -46.62304°", + "Step 2: Convert latitude to DMS", + " Degrees = 23", + " Minutes = int((23.609260 - 23) × 60) = 36", + " Seconds = ((23.609260 - 23) × 60 - 36) × 60 = 33.3", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 46", + " Minutes = 37", + " Seconds = 22.9", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 23°36'33.3\"S, 46°37'22.9\"W", + "FINAL ANSWER: 23°36'33.3\"S, 46°37'22.9\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Cajamarca", + "source_format": "DMS", + "source_string": "7°9'49.6\"S, 78°30'1.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-7.163780, -78.500270", + "latitude": -7.16378, + "longitude": -78.50027 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 7°9'49.6\"S, 78°30'1.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -7.16378°", + "Step 4: Calculate longitude", + " Longitude: -78.50027°", + "FINAL ANSWER: -7.163780, -78.500270" + ] + }, + { + "task": "format_conversion", + "location_name": "Houston", + "source_format": "DMS", + "source_string": "29°45'47.8\"N, 95°21'47.8\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "29.763280, -95.363270", + "latitude": 29.76328, + "longitude": -95.36327 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 29°45'47.8\"N, 95°21'47.8\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 29.76328°", + "Step 4: Calculate longitude", + " Longitude: -95.36327°", + "FINAL ANSWER: 29.763280, -95.363270" + ] + }, + { + "task": "format_conversion", + "location_name": "Xianshuigu", + "source_format": "DMS", + "source_string": "38°59'6.0\"N, 117°22'58.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "38.985000, 117.382780", + "latitude": 38.985, + "longitude": 117.38278 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 38°59'6.0\"N, 117°22'58.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 38.985°", + "Step 4: Calculate longitude", + " Longitude: 117.38278°", + "FINAL ANSWER: 38.985000, 117.382780" + ] + }, + { + "task": "format_conversion", + "location_name": "Hinsdale", + "source_format": "decimal_degrees", + "source_string": "41.800860, -87.937010", + "target_format": "DMS", + "ground_truth": { + "target_string": "41°48'3.1\"N, 87°56'13.2\"W", + "latitude": 41.80086, + "longitude": -87.93701 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 41.800860, -87.937010", + " Latitude: 41.80086°", + " Longitude: -87.93701°", + "Step 2: Convert latitude to DMS", + " Degrees = 41", + " Minutes = int((41.800860 - 41) × 60) = 48", + " Seconds = ((41.800860 - 41) × 60 - 48) × 60 = 3.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 87", + " Minutes = 56", + " Seconds = 13.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 41°48'3.1\"N, 87°56'13.2\"W", + "FINAL ANSWER: 41°48'3.1\"N, 87°56'13.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Le Grand-Quevilly", + "source_format": "DMS", + "source_string": "49°24'2.7\"N, 1°2'45.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "49.400760, 1.045820", + "latitude": 49.40076, + "longitude": 1.04582 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 49°24'2.7\"N, 1°2'45.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 49.40076°", + "Step 4: Calculate longitude", + " Longitude: 1.04582°", + "FINAL ANSWER: 49.400760, 1.045820" + ] + }, + { + "task": "format_conversion", + "location_name": "Seaford", + "source_format": "decimal_degrees", + "source_string": "-38.100000, 145.133330", + "target_format": "DMS", + "ground_truth": { + "target_string": "38°6'0.0\"S, 145°7'60.0\"E", + "latitude": -38.1, + "longitude": 145.13333 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -38.100000, 145.133330", + " Latitude: -38.1°", + " Longitude: 145.13333°", + "Step 2: Convert latitude to DMS", + " Degrees = 38", + " Minutes = int((38.100000 - 38) × 60) = 6", + " Seconds = ((38.100000 - 38) × 60 - 6) × 60 = 0.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 145", + " Minutes = 7", + " Seconds = 60.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 38°6'0.0\"S, 145°7'60.0\"E", + "FINAL ANSWER: 38°6'0.0\"S, 145°7'60.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kafr Kannā", + "source_format": "decimal_degrees", + "source_string": "32.746600, 35.342420", + "target_format": "DMS", + "ground_truth": { + "target_string": "32°44'47.8\"N, 35°20'32.7\"E", + "latitude": 32.7466, + "longitude": 35.34242 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 32.746600, 35.342420", + " Latitude: 32.7466°", + " Longitude: 35.34242°", + "Step 2: Convert latitude to DMS", + " Degrees = 32", + " Minutes = int((32.746600 - 32) × 60) = 44", + " Seconds = ((32.746600 - 32) × 60 - 44) × 60 = 47.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 35", + " Minutes = 20", + " Seconds = 32.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 32°44'47.8\"N, 35°20'32.7\"E", + "FINAL ANSWER: 32°44'47.8\"N, 35°20'32.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Mafeteng", + "source_format": "DMS", + "source_string": "29°49'22.8\"S, 27°14'14.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-29.822990, 27.237440", + "latitude": -29.82299, + "longitude": 27.23744 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 29°49'22.8\"S, 27°14'14.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -29.82299°", + "Step 4: Calculate longitude", + " Longitude: 27.23744°", + "FINAL ANSWER: -29.822990, 27.237440" + ] + }, + { + "task": "format_conversion", + "location_name": "Hannō", + "source_format": "decimal_degrees", + "source_string": "35.851940, 139.318060", + "target_format": "DMS", + "ground_truth": { + "target_string": "35°51'7.0\"N, 139°19'5.0\"E", + "latitude": 35.85194, + "longitude": 139.31806 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 35.851940, 139.318060", + " Latitude: 35.85194°", + " Longitude: 139.31806°", + "Step 2: Convert latitude to DMS", + " Degrees = 35", + " Minutes = int((35.851940 - 35) × 60) = 51", + " Seconds = ((35.851940 - 35) × 60 - 51) × 60 = 7.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 139", + " Minutes = 19", + " Seconds = 5.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 35°51'7.0\"N, 139°19'5.0\"E", + "FINAL ANSWER: 35°51'7.0\"N, 139°19'5.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Qarchak", + "source_format": "DMS", + "source_string": "35°25'43.4\"N, 51°34'39.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "35.428730, 51.577570", + "latitude": 35.42873, + "longitude": 51.57757 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 35°25'43.4\"N, 51°34'39.3\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 35.42873°", + "Step 4: Calculate longitude", + " Longitude: 51.57757°", + "FINAL ANSWER: 35.428730, 51.577570" + ] + }, + { + "task": "format_conversion", + "location_name": "Luziânia", + "source_format": "DMS", + "source_string": "16°15'9.0\"S, 47°57'1.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-16.252500, -47.950280", + "latitude": -16.2525, + "longitude": -47.95028 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 16°15'9.0\"S, 47°57'1.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -16.2525°", + "Step 4: Calculate longitude", + " Longitude: -47.95028°", + "FINAL ANSWER: -16.252500, -47.950280" + ] + }, + { + "task": "format_conversion", + "location_name": "Letterkenny", + "source_format": "DMS", + "source_string": "54°57'0.0\"N, 7°43'60.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "54.950000, -7.733330", + "latitude": 54.95, + "longitude": -7.73333 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 54°57'0.0\"N, 7°43'60.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 54.95°", + "Step 4: Calculate longitude", + " Longitude: -7.73333°", + "FINAL ANSWER: 54.950000, -7.733330" + ] + }, + { + "task": "format_conversion", + "location_name": "Anfu", + "source_format": "decimal_degrees", + "source_string": "34.972780, 105.630280", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°58'22.0\"N, 105°37'49.0\"E", + "latitude": 34.97278, + "longitude": 105.63028 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 34.972780, 105.630280", + " Latitude: 34.97278°", + " Longitude: 105.63028°", + "Step 2: Convert latitude to DMS", + " Degrees = 34", + " Minutes = int((34.972780 - 34) × 60) = 58", + " Seconds = ((34.972780 - 34) × 60 - 58) × 60 = 22.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 105", + " Minutes = 37", + " Seconds = 49.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 34°58'22.0\"N, 105°37'49.0\"E", + "FINAL ANSWER: 34°58'22.0\"N, 105°37'49.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Mayiladuthurai", + "source_format": "decimal_degrees", + "source_string": "11.103540, 79.655000", + "target_format": "DMS", + "ground_truth": { + "target_string": "11°6'12.7\"N, 79°39'18.0\"E", + "latitude": 11.10354, + "longitude": 79.655 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 11.103540, 79.655000", + " Latitude: 11.10354°", + " Longitude: 79.655°", + "Step 2: Convert latitude to DMS", + " Degrees = 11", + " Minutes = int((11.103540 - 11) × 60) = 6", + " Seconds = ((11.103540 - 11) × 60 - 6) × 60 = 12.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 79", + " Minutes = 39", + " Seconds = 18.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 11°6'12.7\"N, 79°39'18.0\"E", + "FINAL ANSWER: 11°6'12.7\"N, 79°39'18.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Sanchuan", + "source_format": "decimal_degrees", + "source_string": "26.750410, 100.658940", + "target_format": "DMS", + "ground_truth": { + "target_string": "26°45'1.5\"N, 100°39'32.2\"E", + "latitude": 26.75041, + "longitude": 100.65894 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 26.750410, 100.658940", + " Latitude: 26.75041°", + " Longitude: 100.65894°", + "Step 2: Convert latitude to DMS", + " Degrees = 26", + " Minutes = int((26.750410 - 26) × 60) = 45", + " Seconds = ((26.750410 - 26) × 60 - 45) × 60 = 1.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 100", + " Minutes = 39", + " Seconds = 32.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 26°45'1.5\"N, 100°39'32.2\"E", + "FINAL ANSWER: 26°45'1.5\"N, 100°39'32.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Lwengo", + "source_format": "decimal_degrees", + "source_string": "-0.416110, 31.408060", + "target_format": "DMS", + "ground_truth": { + "target_string": "0°24'58.0\"S, 31°24'29.0\"E", + "latitude": -0.41611, + "longitude": 31.40806 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -0.416110, 31.408060", + " Latitude: -0.41611°", + " Longitude: 31.40806°", + "Step 2: Convert latitude to DMS", + " Degrees = 0", + " Minutes = int((0.416110 - 0) × 60) = 24", + " Seconds = ((0.416110 - 0) × 60 - 24) × 60 = 58.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 31", + " Minutes = 24", + " Seconds = 29.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 0°24'58.0\"S, 31°24'29.0\"E", + "FINAL ANSWER: 0°24'58.0\"S, 31°24'29.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Smithtown", + "source_format": "decimal_degrees", + "source_string": "40.855930, -73.200670", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°51'21.3\"N, 73°12'2.4\"W", + "latitude": 40.85593, + "longitude": -73.20067 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.855930, -73.200670", + " Latitude: 40.85593°", + " Longitude: -73.20067°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.855930 - 40) × 60) = 51", + " Seconds = ((40.855930 - 40) × 60 - 51) × 60 = 21.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 73", + " Minutes = 12", + " Seconds = 2.4", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 40°51'21.3\"N, 73°12'2.4\"W", + "FINAL ANSWER: 40°51'21.3\"N, 73°12'2.4\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Mahē", + "source_format": "DMS", + "source_string": "11°42'6.2\"N, 75°32'5.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "11.701720, 75.534740", + "latitude": 11.70172, + "longitude": 75.53474 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 11°42'6.2\"N, 75°32'5.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 11.70172°", + "Step 4: Calculate longitude", + " Longitude: 75.53474°", + "FINAL ANSWER: 11.701720, 75.534740" + ] + }, + { + "task": "format_conversion", + "location_name": "Thap Than", + "source_format": "decimal_degrees", + "source_string": "15.460630, 99.891660", + "target_format": "DMS", + "ground_truth": { + "target_string": "15°27'38.3\"N, 99°53'30.0\"E", + "latitude": 15.46063, + "longitude": 99.89166 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 15.460630, 99.891660", + " Latitude: 15.46063°", + " Longitude: 99.89166°", + "Step 2: Convert latitude to DMS", + " Degrees = 15", + " Minutes = int((15.460630 - 15) × 60) = 27", + " Seconds = ((15.460630 - 15) × 60 - 27) × 60 = 38.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 99", + " Minutes = 53", + " Seconds = 30.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 15°27'38.3\"N, 99°53'30.0\"E", + "FINAL ANSWER: 15°27'38.3\"N, 99°53'30.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kotivakkam", + "source_format": "DMS", + "source_string": "12°58'12.6\"N, 80°15'27.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "12.970160, 80.257690", + "latitude": 12.97016, + "longitude": 80.25769 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 12°58'12.6\"N, 80°15'27.7\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 12.97016°", + "Step 4: Calculate longitude", + " Longitude: 80.25769°", + "FINAL ANSWER: 12.970160, 80.257690" + ] + }, + { + "task": "format_conversion", + "location_name": "Guaíra", + "source_format": "decimal_degrees", + "source_string": "-24.082040, -54.246220", + "target_format": "DMS", + "ground_truth": { + "target_string": "24°4'55.3\"S, 54°14'46.4\"W", + "latitude": -24.08204, + "longitude": -54.24622 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -24.082040, -54.246220", + " Latitude: -24.08204°", + " Longitude: -54.24622°", + "Step 2: Convert latitude to DMS", + " Degrees = 24", + " Minutes = int((24.082040 - 24) × 60) = 4", + " Seconds = ((24.082040 - 24) × 60 - 4) × 60 = 55.3", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 54", + " Minutes = 14", + " Seconds = 46.4", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 24°4'55.3\"S, 54°14'46.4\"W", + "FINAL ANSWER: 24°4'55.3\"S, 54°14'46.4\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Tome", + "source_format": "DMS", + "source_string": "38°42'31.8\"N, 141°9'20.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "38.708820, 141.155780", + "latitude": 38.70882, + "longitude": 141.15578 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 38°42'31.8\"N, 141°9'20.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 38.70882°", + "Step 4: Calculate longitude", + " Longitude: 141.15578°", + "FINAL ANSWER: 38.708820, 141.155780" + ] + }, + { + "task": "format_conversion", + "location_name": "Belorechensk", + "source_format": "decimal_degrees", + "source_string": "44.770020, 39.872460", + "target_format": "DMS", + "ground_truth": { + "target_string": "44°46'12.1\"N, 39°52'20.9\"E", + "latitude": 44.77002, + "longitude": 39.87246 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 44.770020, 39.872460", + " Latitude: 44.77002°", + " Longitude: 39.87246°", + "Step 2: Convert latitude to DMS", + " Degrees = 44", + " Minutes = int((44.770020 - 44) × 60) = 46", + " Seconds = ((44.770020 - 44) × 60 - 46) × 60 = 12.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 39", + " Minutes = 52", + " Seconds = 20.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 44°46'12.1\"N, 39°52'20.9\"E", + "FINAL ANSWER: 44°46'12.1\"N, 39°52'20.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Mashiko", + "source_format": "DMS", + "source_string": "36°28'0.0\"N, 140°5'60.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "36.466670, 140.100000", + "latitude": 36.46667, + "longitude": 140.1 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 36°28'0.0\"N, 140°5'60.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 36.46667°", + "Step 4: Calculate longitude", + " Longitude: 140.1°", + "FINAL ANSWER: 36.466670, 140.100000" + ] + }, + { + "task": "format_conversion", + "location_name": "Kaarst", + "source_format": "decimal_degrees", + "source_string": "51.229290, 6.618830", + "target_format": "DMS", + "ground_truth": { + "target_string": "51°13'45.4\"N, 6°37'7.8\"E", + "latitude": 51.22929, + "longitude": 6.61883 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 51.229290, 6.618830", + " Latitude: 51.22929°", + " Longitude: 6.61883°", + "Step 2: Convert latitude to DMS", + " Degrees = 51", + " Minutes = int((51.229290 - 51) × 60) = 13", + " Seconds = ((51.229290 - 51) × 60 - 13) × 60 = 45.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 6", + " Minutes = 37", + " Seconds = 7.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 51°13'45.4\"N, 6°37'7.8\"E", + "FINAL ANSWER: 51°13'45.4\"N, 6°37'7.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Slagelse", + "source_format": "DMS", + "source_string": "55°24'9.9\"N, 11°21'16.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "55.402760, 11.354590", + "latitude": 55.40276, + "longitude": 11.35459 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 55°24'9.9\"N, 11°21'16.5\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 55.40276°", + "Step 4: Calculate longitude", + " Longitude: 11.35459°", + "FINAL ANSWER: 55.402760, 11.354590" + ] + }, + { + "task": "format_conversion", + "location_name": "Prizren", + "source_format": "DMS", + "source_string": "42°12'50.0\"N, 20°44'23.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "42.213890, 20.739720", + "latitude": 42.21389, + "longitude": 20.73972 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 42°12'50.0\"N, 20°44'23.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 42.21389°", + "Step 4: Calculate longitude", + " Longitude: 20.73972°", + "FINAL ANSWER: 42.213890, 20.739720" + ] + }, + { + "task": "format_conversion", + "location_name": "Kongsberg", + "source_format": "decimal_degrees", + "source_string": "59.668580, 9.650170", + "target_format": "DMS", + "ground_truth": { + "target_string": "59°40'6.9\"N, 9°39'0.6\"E", + "latitude": 59.66858, + "longitude": 9.65017 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 59.668580, 9.650170", + " Latitude: 59.66858°", + " Longitude: 9.65017°", + "Step 2: Convert latitude to DMS", + " Degrees = 59", + " Minutes = int((59.668580 - 59) × 60) = 40", + " Seconds = ((59.668580 - 59) × 60 - 40) × 60 = 6.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 9", + " Minutes = 39", + " Seconds = 0.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 59°40'6.9\"N, 9°39'0.6\"E", + "FINAL ANSWER: 59°40'6.9\"N, 9°39'0.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Macarani", + "source_format": "DMS", + "source_string": "15°34'6.0\"S, 40°25'23.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-15.568330, -40.423060", + "latitude": -15.56833, + "longitude": -40.42306 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 15°34'6.0\"S, 40°25'23.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -15.56833°", + "Step 4: Calculate longitude", + " Longitude: -40.42306°", + "FINAL ANSWER: -15.568330, -40.423060" + ] + }, + { + "task": "format_conversion", + "location_name": "Jelgava", + "source_format": "decimal_degrees", + "source_string": "56.650000, 23.712780", + "target_format": "DMS", + "ground_truth": { + "target_string": "56°38'60.0\"N, 23°42'46.0\"E", + "latitude": 56.65, + "longitude": 23.71278 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 56.650000, 23.712780", + " Latitude: 56.65°", + " Longitude: 23.71278°", + "Step 2: Convert latitude to DMS", + " Degrees = 56", + " Minutes = int((56.650000 - 56) × 60) = 38", + " Seconds = ((56.650000 - 56) × 60 - 38) × 60 = 60.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 23", + " Minutes = 42", + " Seconds = 46.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 56°38'60.0\"N, 23°42'46.0\"E", + "FINAL ANSWER: 56°38'60.0\"N, 23°42'46.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "San Mateo Atenco", + "source_format": "DMS", + "source_string": "19°16'3.3\"N, 99°31'55.7\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "19.267570, -99.532140", + "latitude": 19.26757, + "longitude": -99.53214 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 19°16'3.3\"N, 99°31'55.7\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 19.26757°", + "Step 4: Calculate longitude", + " Longitude: -99.53214°", + "FINAL ANSWER: 19.267570, -99.532140" + ] + }, + { + "task": "format_conversion", + "location_name": "Kheri Nāngal", + "source_format": "DMS", + "source_string": "29°21'15.7\"N, 76°58'38.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "29.354360, 76.977370", + "latitude": 29.35436, + "longitude": 76.97737 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 29°21'15.7\"N, 76°58'38.5\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 29.35436°", + "Step 4: Calculate longitude", + " Longitude: 76.97737°", + "FINAL ANSWER: 29.354360, 76.977370" + ] + }, + { + "task": "format_conversion", + "location_name": "West University Place", + "source_format": "decimal_degrees", + "source_string": "29.718010, -95.433830", + "target_format": "DMS", + "ground_truth": { + "target_string": "29°43'4.8\"N, 95°26'1.8\"W", + "latitude": 29.71801, + "longitude": -95.43383 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 29.718010, -95.433830", + " Latitude: 29.71801°", + " Longitude: -95.43383°", + "Step 2: Convert latitude to DMS", + " Degrees = 29", + " Minutes = int((29.718010 - 29) × 60) = 43", + " Seconds = ((29.718010 - 29) × 60 - 43) × 60 = 4.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 95", + " Minutes = 26", + " Seconds = 1.8", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 29°43'4.8\"N, 95°26'1.8\"W", + "FINAL ANSWER: 29°43'4.8\"N, 95°26'1.8\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Robāţ Karīm", + "source_format": "decimal_degrees", + "source_string": "35.484600, 51.082900", + "target_format": "DMS", + "ground_truth": { + "target_string": "35°29'4.6\"N, 51°4'58.4\"E", + "latitude": 35.4846, + "longitude": 51.0829 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 35.484600, 51.082900", + " Latitude: 35.4846°", + " Longitude: 51.0829°", + "Step 2: Convert latitude to DMS", + " Degrees = 35", + " Minutes = int((35.484600 - 35) × 60) = 29", + " Seconds = ((35.484600 - 35) × 60 - 29) × 60 = 4.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 51", + " Minutes = 4", + " Seconds = 58.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 35°29'4.6\"N, 51°4'58.4\"E", + "FINAL ANSWER: 35°29'4.6\"N, 51°4'58.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Forest Lake", + "source_format": "decimal_degrees", + "source_string": "-27.625630, 152.968830", + "target_format": "DMS", + "ground_truth": { + "target_string": "27°37'32.3\"S, 152°58'7.8\"E", + "latitude": -27.62563, + "longitude": 152.96883 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -27.625630, 152.968830", + " Latitude: -27.62563°", + " Longitude: 152.96883°", + "Step 2: Convert latitude to DMS", + " Degrees = 27", + " Minutes = int((27.625630 - 27) × 60) = 37", + " Seconds = ((27.625630 - 27) × 60 - 37) × 60 = 32.3", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 152", + " Minutes = 58", + " Seconds = 7.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 27°37'32.3\"S, 152°58'7.8\"E", + "FINAL ANSWER: 27°37'32.3\"S, 152°58'7.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Golden Triangle", + "source_format": "DMS", + "source_string": "38°54'18.9\"N, 77°2'37.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "38.905240, -77.043620", + "latitude": 38.90524, + "longitude": -77.04362 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 38°54'18.9\"N, 77°2'37.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 38.90524°", + "Step 4: Calculate longitude", + " Longitude: -77.04362°", + "FINAL ANSWER: 38.905240, -77.043620" + ] + }, + { + "task": "format_conversion", + "location_name": "Charthāwal", + "source_format": "decimal_degrees", + "source_string": "29.546870, 77.594380", + "target_format": "DMS", + "ground_truth": { + "target_string": "29°32'48.7\"N, 77°35'39.8\"E", + "latitude": 29.54687, + "longitude": 77.59438 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 29.546870, 77.594380", + " Latitude: 29.54687°", + " Longitude: 77.59438°", + "Step 2: Convert latitude to DMS", + " Degrees = 29", + " Minutes = int((29.546870 - 29) × 60) = 32", + " Seconds = ((29.546870 - 29) × 60 - 32) × 60 = 48.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 77", + " Minutes = 35", + " Seconds = 39.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 29°32'48.7\"N, 77°35'39.8\"E", + "FINAL ANSWER: 29°32'48.7\"N, 77°35'39.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Mtsapéré", + "source_format": "decimal_degrees", + "source_string": "-12.786360, 45.217320", + "target_format": "DMS", + "ground_truth": { + "target_string": "12°47'10.9\"S, 45°13'2.4\"E", + "latitude": -12.78636, + "longitude": 45.21732 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -12.786360, 45.217320", + " Latitude: -12.78636°", + " Longitude: 45.21732°", + "Step 2: Convert latitude to DMS", + " Degrees = 12", + " Minutes = int((12.786360 - 12) × 60) = 47", + " Seconds = ((12.786360 - 12) × 60 - 47) × 60 = 10.9", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 45", + " Minutes = 13", + " Seconds = 2.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 12°47'10.9\"S, 45°13'2.4\"E", + "FINAL ANSWER: 12°47'10.9\"S, 45°13'2.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Bayan", + "source_format": "decimal_degrees", + "source_string": "46.076220, 127.393690", + "target_format": "DMS", + "ground_truth": { + "target_string": "46°4'34.4\"N, 127°23'37.3\"E", + "latitude": 46.07622, + "longitude": 127.39369 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 46.076220, 127.393690", + " Latitude: 46.07622°", + " Longitude: 127.39369°", + "Step 2: Convert latitude to DMS", + " Degrees = 46", + " Minutes = int((46.076220 - 46) × 60) = 4", + " Seconds = ((46.076220 - 46) × 60 - 4) × 60 = 34.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 127", + " Minutes = 23", + " Seconds = 37.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 46°4'34.4\"N, 127°23'37.3\"E", + "FINAL ANSWER: 46°4'34.4\"N, 127°23'37.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Partizansk", + "source_format": "DMS", + "source_string": "43°7'11.7\"N, 133°7'23.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "43.119920, 133.123160", + "latitude": 43.11992, + "longitude": 133.12316 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 43°7'11.7\"N, 133°7'23.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 43.11992°", + "Step 4: Calculate longitude", + " Longitude: 133.12316°", + "FINAL ANSWER: 43.119920, 133.123160" + ] + }, + { + "task": "format_conversion", + "location_name": "Fort Lauderdale", + "source_format": "DMS", + "source_string": "26°7'20.3\"N, 80°8'36.2\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "26.122310, -80.143380", + "latitude": 26.12231, + "longitude": -80.14338 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 26°7'20.3\"N, 80°8'36.2\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 26.12231°", + "Step 4: Calculate longitude", + " Longitude: -80.14338°", + "FINAL ANSWER: 26.122310, -80.143380" + ] + }, + { + "task": "format_conversion", + "location_name": "Sejoumi", + "source_format": "DMS", + "source_string": "36°45'21.0\"N, 10°7'6.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "36.755830, 10.118330", + "latitude": 36.75583, + "longitude": 10.11833 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 36°45'21.0\"N, 10°7'6.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 36.75583°", + "Step 4: Calculate longitude", + " Longitude: 10.11833°", + "FINAL ANSWER: 36.755830, 10.118330" + ] + }, + { + "task": "format_conversion", + "location_name": "West Fargo", + "source_format": "decimal_degrees", + "source_string": "46.874970, -96.900360", + "target_format": "DMS", + "ground_truth": { + "target_string": "46°52'29.9\"N, 96°54'1.3\"W", + "latitude": 46.87497, + "longitude": -96.90036 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 46.874970, -96.900360", + " Latitude: 46.87497°", + " Longitude: -96.90036°", + "Step 2: Convert latitude to DMS", + " Degrees = 46", + " Minutes = int((46.874970 - 46) × 60) = 52", + " Seconds = ((46.874970 - 46) × 60 - 52) × 60 = 29.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 96", + " Minutes = 54", + " Seconds = 1.3", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 46°52'29.9\"N, 96°54'1.3\"W", + "FINAL ANSWER: 46°52'29.9\"N, 96°54'1.3\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Ivato", + "source_format": "decimal_degrees", + "source_string": "-18.800000, 47.483330", + "target_format": "DMS", + "ground_truth": { + "target_string": "18°48'0.0\"S, 47°28'60.0\"E", + "latitude": -18.8, + "longitude": 47.48333 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -18.800000, 47.483330", + " Latitude: -18.8°", + " Longitude: 47.48333°", + "Step 2: Convert latitude to DMS", + " Degrees = 18", + " Minutes = int((18.800000 - 18) × 60) = 48", + " Seconds = ((18.800000 - 18) × 60 - 48) × 60 = 0.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 47", + " Minutes = 28", + " Seconds = 60.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 18°48'0.0\"S, 47°28'60.0\"E", + "FINAL ANSWER: 18°48'0.0\"S, 47°28'60.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Salima", + "source_format": "decimal_degrees", + "source_string": "-13.780400, 34.458700", + "target_format": "DMS", + "ground_truth": { + "target_string": "13°46'49.4\"S, 34°27'31.3\"E", + "latitude": -13.7804, + "longitude": 34.4587 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -13.780400, 34.458700", + " Latitude: -13.7804°", + " Longitude: 34.4587°", + "Step 2: Convert latitude to DMS", + " Degrees = 13", + " Minutes = int((13.780400 - 13) × 60) = 46", + " Seconds = ((13.780400 - 13) × 60 - 46) × 60 = 49.4", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 34", + " Minutes = 27", + " Seconds = 31.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 13°46'49.4\"S, 34°27'31.3\"E", + "FINAL ANSWER: 13°46'49.4\"S, 34°27'31.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kesennuma", + "source_format": "decimal_degrees", + "source_string": "38.901120, 141.577460", + "target_format": "DMS", + "ground_truth": { + "target_string": "38°54'4.0\"N, 141°34'38.9\"E", + "latitude": 38.90112, + "longitude": 141.57746 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 38.901120, 141.577460", + " Latitude: 38.90112°", + " Longitude: 141.57746°", + "Step 2: Convert latitude to DMS", + " Degrees = 38", + " Minutes = int((38.901120 - 38) × 60) = 54", + " Seconds = ((38.901120 - 38) × 60 - 54) × 60 = 4.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 141", + " Minutes = 34", + " Seconds = 38.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 38°54'4.0\"N, 141°34'38.9\"E", + "FINAL ANSWER: 38°54'4.0\"N, 141°34'38.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Namhkam", + "source_format": "DMS", + "source_string": "23°50'0.3\"N, 97°40'47.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "23.833420, 97.679840", + "latitude": 23.83342, + "longitude": 97.67984 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 23°50'0.3\"N, 97°40'47.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 23.83342°", + "Step 4: Calculate longitude", + " Longitude: 97.67984°", + "FINAL ANSWER: 23.833420, 97.679840" + ] + }, + { + "task": "format_conversion", + "location_name": "Mankato", + "source_format": "decimal_degrees", + "source_string": "44.159060, -94.009150", + "target_format": "DMS", + "ground_truth": { + "target_string": "44°9'32.6\"N, 94°0'32.9\"W", + "latitude": 44.15906, + "longitude": -94.00915 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 44.159060, -94.009150", + " Latitude: 44.15906°", + " Longitude: -94.00915°", + "Step 2: Convert latitude to DMS", + " Degrees = 44", + " Minutes = int((44.159060 - 44) × 60) = 9", + " Seconds = ((44.159060 - 44) × 60 - 9) × 60 = 32.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 94", + " Minutes = 0", + " Seconds = 32.9", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 44°9'32.6\"N, 94°0'32.9\"W", + "FINAL ANSWER: 44°9'32.6\"N, 94°0'32.9\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Dinapore", + "source_format": "decimal_degrees", + "source_string": "25.637050, 85.047940", + "target_format": "DMS", + "ground_truth": { + "target_string": "25°38'13.4\"N, 85°2'52.6\"E", + "latitude": 25.63705, + "longitude": 85.04794 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 25.637050, 85.047940", + " Latitude: 25.63705°", + " Longitude: 85.04794°", + "Step 2: Convert latitude to DMS", + " Degrees = 25", + " Minutes = int((25.637050 - 25) × 60) = 38", + " Seconds = ((25.637050 - 25) × 60 - 38) × 60 = 13.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 85", + " Minutes = 2", + " Seconds = 52.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 25°38'13.4\"N, 85°2'52.6\"E", + "FINAL ANSWER: 25°38'13.4\"N, 85°2'52.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Pita Kotte", + "source_format": "DMS", + "source_string": "6°53'25.8\"N, 79°54'5.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "6.890500, 79.901500", + "latitude": 6.8905, + "longitude": 79.9015 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 6°53'25.8\"N, 79°54'5.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 6.8905°", + "Step 4: Calculate longitude", + " Longitude: 79.9015°", + "FINAL ANSWER: 6.890500, 79.901500" + ] + }, + { + "task": "format_conversion", + "location_name": "Guéret", + "source_format": "DMS", + "source_string": "46°10'18.7\"N, 1°52'18.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "46.171850, 1.871660", + "latitude": 46.17185, + "longitude": 1.87166 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 46°10'18.7\"N, 1°52'18.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 46.17185°", + "Step 4: Calculate longitude", + " Longitude: 1.87166°", + "FINAL ANSWER: 46.171850, 1.871660" + ] + }, + { + "task": "format_conversion", + "location_name": "Fredrikstad", + "source_format": "DMS", + "source_string": "59°13'5.2\"N, 10°55'47.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "59.218100, 10.929800", + "latitude": 59.2181, + "longitude": 10.9298 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 59°13'5.2\"N, 10°55'47.3\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 59.2181°", + "Step 4: Calculate longitude", + " Longitude: 10.9298°", + "FINAL ANSWER: 59.218100, 10.929800" + ] + }, + { + "task": "format_conversion", + "location_name": "Boshrūyeh", + "source_format": "DMS", + "source_string": "33°52'6.4\"N, 57°25'43.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "33.868450, 57.428850", + "latitude": 33.86845, + "longitude": 57.42885 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 33°52'6.4\"N, 57°25'43.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 33.86845°", + "Step 4: Calculate longitude", + " Longitude: 57.42885°", + "FINAL ANSWER: 33.868450, 57.428850" + ] + }, + { + "task": "format_conversion", + "location_name": "Samut Sakhon", + "source_format": "decimal_degrees", + "source_string": "13.547530, 100.273620", + "target_format": "DMS", + "ground_truth": { + "target_string": "13°32'51.1\"N, 100°16'25.0\"E", + "latitude": 13.54753, + "longitude": 100.27362 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 13.547530, 100.273620", + " Latitude: 13.54753°", + " Longitude: 100.27362°", + "Step 2: Convert latitude to DMS", + " Degrees = 13", + " Minutes = int((13.547530 - 13) × 60) = 32", + " Seconds = ((13.547530 - 13) × 60 - 32) × 60 = 51.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 100", + " Minutes = 16", + " Seconds = 25.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 13°32'51.1\"N, 100°16'25.0\"E", + "FINAL ANSWER: 13°32'51.1\"N, 100°16'25.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kireçocağı", + "source_format": "decimal_degrees", + "source_string": "37.050000, 35.233330", + "target_format": "DMS", + "ground_truth": { + "target_string": "37°2'60.0\"N, 35°13'60.0\"E", + "latitude": 37.05, + "longitude": 35.23333 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 37.050000, 35.233330", + " Latitude: 37.05°", + " Longitude: 35.23333°", + "Step 2: Convert latitude to DMS", + " Degrees = 37", + " Minutes = int((37.050000 - 37) × 60) = 2", + " Seconds = ((37.050000 - 37) × 60 - 2) × 60 = 60.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 35", + " Minutes = 13", + " Seconds = 60.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 37°2'60.0\"N, 35°13'60.0\"E", + "FINAL ANSWER: 37°2'60.0\"N, 35°13'60.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Nekā", + "source_format": "DMS", + "source_string": "36°39'2.8\"N, 53°17'56.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "36.650790, 53.299050", + "latitude": 36.65079, + "longitude": 53.29905 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 36°39'2.8\"N, 53°17'56.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 36.65079°", + "Step 4: Calculate longitude", + " Longitude: 53.29905°", + "FINAL ANSWER: 36.650790, 53.299050" + ] + }, + { + "task": "format_conversion", + "location_name": "Kunnamangalam", + "source_format": "DMS", + "source_string": "11°18'16.5\"N, 75°52'39.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "11.304590, 75.877720", + "latitude": 11.30459, + "longitude": 75.87772 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 11°18'16.5\"N, 75°52'39.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 11.30459°", + "Step 4: Calculate longitude", + " Longitude: 75.87772°", + "FINAL ANSWER: 11.304590, 75.877720" + ] + }, + { + "task": "format_conversion", + "location_name": "Reigate", + "source_format": "DMS", + "source_string": "51°14'14.5\"N, 0°12'21.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "51.237360, -0.205820", + "latitude": 51.23736, + "longitude": -0.20582 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 51°14'14.5\"N, 0°12'21.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 51.23736°", + "Step 4: Calculate longitude", + " Longitude: -0.20582°", + "FINAL ANSWER: 51.237360, -0.205820" + ] + }, + { + "task": "format_conversion", + "location_name": "Beypore", + "source_format": "DMS", + "source_string": "11°10'17.4\"N, 75°48'22.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "11.171510, 75.806110", + "latitude": 11.17151, + "longitude": 75.80611 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 11°10'17.4\"N, 75°48'22.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 11.17151°", + "Step 4: Calculate longitude", + " Longitude: 75.80611°", + "FINAL ANSWER: 11.171510, 75.806110" + ] + }, + { + "task": "format_conversion", + "location_name": "Gevelsberg", + "source_format": "DMS", + "source_string": "51°19'11.0\"N, 7°20'21.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "51.319710, 7.339200", + "latitude": 51.31971, + "longitude": 7.3392 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 51°19'11.0\"N, 7°20'21.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 51.31971°", + "Step 4: Calculate longitude", + " Longitude: 7.3392°", + "FINAL ANSWER: 51.319710, 7.339200" + ] + }, + { + "task": "format_conversion", + "location_name": "Maubara", + "source_format": "decimal_degrees", + "source_string": "-8.611940, 125.206110", + "target_format": "DMS", + "ground_truth": { + "target_string": "8°36'43.0\"S, 125°12'22.0\"E", + "latitude": -8.61194, + "longitude": 125.20611 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -8.611940, 125.206110", + " Latitude: -8.61194°", + " Longitude: 125.20611°", + "Step 2: Convert latitude to DMS", + " Degrees = 8", + " Minutes = int((8.611940 - 8) × 60) = 36", + " Seconds = ((8.611940 - 8) × 60 - 36) × 60 = 43.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 125", + " Minutes = 12", + " Seconds = 22.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 8°36'43.0\"S, 125°12'22.0\"E", + "FINAL ANSWER: 8°36'43.0\"S, 125°12'22.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Malārd", + "source_format": "decimal_degrees", + "source_string": "35.665900, 50.976700", + "target_format": "DMS", + "ground_truth": { + "target_string": "35°39'57.2\"N, 50°58'36.1\"E", + "latitude": 35.6659, + "longitude": 50.9767 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 35.665900, 50.976700", + " Latitude: 35.6659°", + " Longitude: 50.9767°", + "Step 2: Convert latitude to DMS", + " Degrees = 35", + " Minutes = int((35.665900 - 35) × 60) = 39", + " Seconds = ((35.665900 - 35) × 60 - 39) × 60 = 57.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 50", + " Minutes = 58", + " Seconds = 36.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 35°39'57.2\"N, 50°58'36.1\"E", + "FINAL ANSWER: 35°39'57.2\"N, 50°58'36.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Tagudin", + "source_format": "DMS", + "source_string": "16°56'7.8\"N, 120°26'39.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "16.935500, 120.444200", + "latitude": 16.9355, + "longitude": 120.4442 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 16°56'7.8\"N, 120°26'39.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 16.9355°", + "Step 4: Calculate longitude", + " Longitude: 120.4442°", + "FINAL ANSWER: 16.935500, 120.444200" + ] + }, + { + "task": "format_conversion", + "location_name": "Juhaynah", + "source_format": "DMS", + "source_string": "26°40'27.0\"N, 31°29'48.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "26.674180, 31.496860", + "latitude": 26.67418, + "longitude": 31.49686 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 26°40'27.0\"N, 31°29'48.7\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 26.67418°", + "Step 4: Calculate longitude", + " Longitude: 31.49686°", + "FINAL ANSWER: 26.674180, 31.496860" + ] + }, + { + "task": "format_conversion", + "location_name": "Kensington", + "source_format": "decimal_degrees", + "source_string": "40.646210, -73.970690", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°38'46.4\"N, 73°58'14.5\"W", + "latitude": 40.64621, + "longitude": -73.97069 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.646210, -73.970690", + " Latitude: 40.64621°", + " Longitude: -73.97069°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.646210 - 40) × 60) = 38", + " Seconds = ((40.646210 - 40) × 60 - 38) × 60 = 46.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 73", + " Minutes = 58", + " Seconds = 14.5", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 40°38'46.4\"N, 73°58'14.5\"W", + "FINAL ANSWER: 40°38'46.4\"N, 73°58'14.5\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Cheorwon", + "source_format": "decimal_degrees", + "source_string": "38.209170, 127.217500", + "target_format": "DMS", + "ground_truth": { + "target_string": "38°12'33.0\"N, 127°13'3.0\"E", + "latitude": 38.20917, + "longitude": 127.2175 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 38.209170, 127.217500", + " Latitude: 38.20917°", + " Longitude: 127.2175°", + "Step 2: Convert latitude to DMS", + " Degrees = 38", + " Minutes = int((38.209170 - 38) × 60) = 12", + " Seconds = ((38.209170 - 38) × 60 - 12) × 60 = 33.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 127", + " Minutes = 13", + " Seconds = 3.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 38°12'33.0\"N, 127°13'3.0\"E", + "FINAL ANSWER: 38°12'33.0\"N, 127°13'3.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Santa Inês", + "source_format": "DMS", + "source_string": "3°40'0.0\"S, 45°22'48.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-3.666670, -45.380000", + "latitude": -3.66667, + "longitude": -45.38 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 3°40'0.0\"S, 45°22'48.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -3.66667°", + "Step 4: Calculate longitude", + " Longitude: -45.38°", + "FINAL ANSWER: -3.666670, -45.380000" + ] + }, + { + "task": "format_conversion", + "location_name": "Sinan", + "source_format": "DMS", + "source_string": "34°49'34.3\"N, 126°6'31.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "34.826200, 126.108630", + "latitude": 34.8262, + "longitude": 126.10863 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 34°49'34.3\"N, 126°6'31.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 34.8262°", + "Step 4: Calculate longitude", + " Longitude: 126.10863°", + "FINAL ANSWER: 34.826200, 126.108630" + ] + }, + { + "task": "format_conversion", + "location_name": "Kawagoe", + "source_format": "decimal_degrees", + "source_string": "35.908610, 139.485280", + "target_format": "DMS", + "ground_truth": { + "target_string": "35°54'31.0\"N, 139°29'7.0\"E", + "latitude": 35.90861, + "longitude": 139.48528 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 35.908610, 139.485280", + " Latitude: 35.90861°", + " Longitude: 139.48528°", + "Step 2: Convert latitude to DMS", + " Degrees = 35", + " Minutes = int((35.908610 - 35) × 60) = 54", + " Seconds = ((35.908610 - 35) × 60 - 54) × 60 = 31.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 139", + " Minutes = 29", + " Seconds = 7.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 35°54'31.0\"N, 139°29'7.0\"E", + "FINAL ANSWER: 35°54'31.0\"N, 139°29'7.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kennewick", + "source_format": "DMS", + "source_string": "46°12'40.5\"N, 119°8'14.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "46.211250, -119.137230", + "latitude": 46.21125, + "longitude": -119.13723 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 46°12'40.5\"N, 119°8'14.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 46.21125°", + "Step 4: Calculate longitude", + " Longitude: -119.13723°", + "FINAL ANSWER: 46.211250, -119.137230" + ] + }, + { + "task": "format_conversion", + "location_name": "Wilhelmsburg", + "source_format": "DMS", + "source_string": "53°29'59.0\"N, 10°0'46.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "53.499730, 10.012810", + "latitude": 53.49973, + "longitude": 10.01281 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 53°29'59.0\"N, 10°0'46.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 53.49973°", + "Step 4: Calculate longitude", + " Longitude: 10.01281°", + "FINAL ANSWER: 53.499730, 10.012810" + ] + }, + { + "task": "format_conversion", + "location_name": "Licenciado Benito Juárez", + "source_format": "decimal_degrees", + "source_string": "24.656670, -107.545000", + "target_format": "DMS", + "ground_truth": { + "target_string": "24°39'24.0\"N, 107°32'42.0\"W", + "latitude": 24.65667, + "longitude": -107.545 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 24.656670, -107.545000", + " Latitude: 24.65667°", + " Longitude: -107.545°", + "Step 2: Convert latitude to DMS", + " Degrees = 24", + " Minutes = int((24.656670 - 24) × 60) = 39", + " Seconds = ((24.656670 - 24) × 60 - 39) × 60 = 24.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 107", + " Minutes = 32", + " Seconds = 42.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 24°39'24.0\"N, 107°32'42.0\"W", + "FINAL ANSWER: 24°39'24.0\"N, 107°32'42.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Katesh", + "source_format": "DMS", + "source_string": "4°31'29.4\"S, 35°23'5.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-4.524830, 35.384900", + "latitude": -4.52483, + "longitude": 35.3849 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 4°31'29.4\"S, 35°23'5.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -4.52483°", + "Step 4: Calculate longitude", + " Longitude: 35.3849°", + "FINAL ANSWER: -4.524830, 35.384900" + ] + }, + { + "task": "format_conversion", + "location_name": "Sunan", + "source_format": "decimal_degrees", + "source_string": "39.203230, 125.693120", + "target_format": "DMS", + "ground_truth": { + "target_string": "39°12'11.6\"N, 125°41'35.2\"E", + "latitude": 39.20323, + "longitude": 125.69312 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 39.203230, 125.693120", + " Latitude: 39.20323°", + " Longitude: 125.69312°", + "Step 2: Convert latitude to DMS", + " Degrees = 39", + " Minutes = int((39.203230 - 39) × 60) = 12", + " Seconds = ((39.203230 - 39) × 60 - 12) × 60 = 11.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 125", + " Minutes = 41", + " Seconds = 35.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 39°12'11.6\"N, 125°41'35.2\"E", + "FINAL ANSWER: 39°12'11.6\"N, 125°41'35.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Tashtagol", + "source_format": "decimal_degrees", + "source_string": "52.767970, 87.888030", + "target_format": "DMS", + "ground_truth": { + "target_string": "52°46'4.7\"N, 87°53'16.9\"E", + "latitude": 52.76797, + "longitude": 87.88803 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 52.767970, 87.888030", + " Latitude: 52.76797°", + " Longitude: 87.88803°", + "Step 2: Convert latitude to DMS", + " Degrees = 52", + " Minutes = int((52.767970 - 52) × 60) = 46", + " Seconds = ((52.767970 - 52) × 60 - 46) × 60 = 4.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 87", + " Minutes = 53", + " Seconds = 16.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 52°46'4.7\"N, 87°53'16.9\"E", + "FINAL ANSWER: 52°46'4.7\"N, 87°53'16.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Muthupet", + "source_format": "decimal_degrees", + "source_string": "10.395050, 79.493530", + "target_format": "DMS", + "ground_truth": { + "target_string": "10°23'42.2\"N, 79°29'36.7\"E", + "latitude": 10.39505, + "longitude": 79.49353 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 10.395050, 79.493530", + " Latitude: 10.39505°", + " Longitude: 79.49353°", + "Step 2: Convert latitude to DMS", + " Degrees = 10", + " Minutes = int((10.395050 - 10) × 60) = 23", + " Seconds = ((10.395050 - 10) × 60 - 23) × 60 = 42.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 79", + " Minutes = 29", + " Seconds = 36.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 10°23'42.2\"N, 79°29'36.7\"E", + "FINAL ANSWER: 10°23'42.2\"N, 79°29'36.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Yeonil", + "source_format": "decimal_degrees", + "source_string": "36.004460, 129.318500", + "target_format": "DMS", + "ground_truth": { + "target_string": "36°0'16.1\"N, 129°19'6.6\"E", + "latitude": 36.00446, + "longitude": 129.3185 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 36.004460, 129.318500", + " Latitude: 36.00446°", + " Longitude: 129.3185°", + "Step 2: Convert latitude to DMS", + " Degrees = 36", + " Minutes = int((36.004460 - 36) × 60) = 0", + " Seconds = ((36.004460 - 36) × 60 - 0) × 60 = 16.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 129", + " Minutes = 19", + " Seconds = 6.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 36°0'16.1\"N, 129°19'6.6\"E", + "FINAL ANSWER: 36°0'16.1\"N, 129°19'6.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Ribeirão Preto", + "source_format": "decimal_degrees", + "source_string": "-21.177500, -47.810280", + "target_format": "DMS", + "ground_truth": { + "target_string": "21°10'39.0\"S, 47°48'37.0\"W", + "latitude": -21.1775, + "longitude": -47.81028 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -21.177500, -47.810280", + " Latitude: -21.1775°", + " Longitude: -47.81028°", + "Step 2: Convert latitude to DMS", + " Degrees = 21", + " Minutes = int((21.177500 - 21) × 60) = 10", + " Seconds = ((21.177500 - 21) × 60 - 10) × 60 = 39.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 47", + " Minutes = 48", + " Seconds = 37.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 21°10'39.0\"S, 47°48'37.0\"W", + "FINAL ANSWER: 21°10'39.0\"S, 47°48'37.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Priozërsk", + "source_format": "decimal_degrees", + "source_string": "61.040270, 30.139150", + "target_format": "DMS", + "ground_truth": { + "target_string": "61°2'25.0\"N, 30°8'20.9\"E", + "latitude": 61.04027, + "longitude": 30.13915 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 61.040270, 30.139150", + " Latitude: 61.04027°", + " Longitude: 30.13915°", + "Step 2: Convert latitude to DMS", + " Degrees = 61", + " Minutes = int((61.040270 - 61) × 60) = 2", + " Seconds = ((61.040270 - 61) × 60 - 2) × 60 = 25.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 30", + " Minutes = 8", + " Seconds = 20.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 61°2'25.0\"N, 30°8'20.9\"E", + "FINAL ANSWER: 61°2'25.0\"N, 30°8'20.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kānchrāpāra", + "source_format": "DMS", + "source_string": "22°57'35.9\"N, 88°25'42.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "22.959980, 88.428490", + "latitude": 22.95998, + "longitude": 88.42849 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 22°57'35.9\"N, 88°25'42.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 22.95998°", + "Step 4: Calculate longitude", + " Longitude: 88.42849°", + "FINAL ANSWER: 22.959980, 88.428490" + ] + }, + { + "task": "format_conversion", + "location_name": "Sukagawa", + "source_format": "decimal_degrees", + "source_string": "37.283330, 140.383330", + "target_format": "DMS", + "ground_truth": { + "target_string": "37°16'60.0\"N, 140°22'60.0\"E", + "latitude": 37.28333, + "longitude": 140.38333 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 37.283330, 140.383330", + " Latitude: 37.28333°", + " Longitude: 140.38333°", + "Step 2: Convert latitude to DMS", + " Degrees = 37", + " Minutes = int((37.283330 - 37) × 60) = 16", + " Seconds = ((37.283330 - 37) × 60 - 16) × 60 = 60.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 140", + " Minutes = 22", + " Seconds = 60.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 37°16'60.0\"N, 140°22'60.0\"E", + "FINAL ANSWER: 37°16'60.0\"N, 140°22'60.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Murlīganj", + "source_format": "decimal_degrees", + "source_string": "25.896900, 86.995770", + "target_format": "DMS", + "ground_truth": { + "target_string": "25°53'48.8\"N, 86°59'44.8\"E", + "latitude": 25.8969, + "longitude": 86.99577 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 25.896900, 86.995770", + " Latitude: 25.8969°", + " Longitude: 86.99577°", + "Step 2: Convert latitude to DMS", + " Degrees = 25", + " Minutes = int((25.896900 - 25) × 60) = 53", + " Seconds = ((25.896900 - 25) × 60 - 53) × 60 = 48.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 86", + " Minutes = 59", + " Seconds = 44.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 25°53'48.8\"N, 86°59'44.8\"E", + "FINAL ANSWER: 25°53'48.8\"N, 86°59'44.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Ans", + "source_format": "DMS", + "source_string": "50°39'44.3\"N, 5°31'13.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "50.662300, 5.520290", + "latitude": 50.6623, + "longitude": 5.52029 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 50°39'44.3\"N, 5°31'13.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 50.6623°", + "Step 4: Calculate longitude", + " Longitude: 5.52029°", + "FINAL ANSWER: 50.662300, 5.520290" + ] + }, + { + "task": "format_conversion", + "location_name": "Kozan", + "source_format": "DMS", + "source_string": "37°27'18.6\"N, 35°48'56.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "37.455170, 35.815730", + "latitude": 37.45517, + "longitude": 35.81573 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 37°27'18.6\"N, 35°48'56.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 37.45517°", + "Step 4: Calculate longitude", + " Longitude: 35.81573°", + "FINAL ANSWER: 37.455170, 35.815730" + ] + }, + { + "task": "format_conversion", + "location_name": "Mī’ēso", + "source_format": "DMS", + "source_string": "9°14'5.2\"N, 40°45'21.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "9.234780, 40.755930", + "latitude": 9.23478, + "longitude": 40.75593 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 9°14'5.2\"N, 40°45'21.3\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 9.23478°", + "Step 4: Calculate longitude", + " Longitude: 40.75593°", + "FINAL ANSWER: 9.234780, 40.755930" + ] + }, + { + "task": "format_conversion", + "location_name": "Congleton", + "source_format": "decimal_degrees", + "source_string": "53.163140, -2.212530", + "target_format": "DMS", + "ground_truth": { + "target_string": "53°9'47.3\"N, 2°12'45.1\"W", + "latitude": 53.16314, + "longitude": -2.21253 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 53.163140, -2.212530", + " Latitude: 53.16314°", + " Longitude: -2.21253°", + "Step 2: Convert latitude to DMS", + " Degrees = 53", + " Minutes = int((53.163140 - 53) × 60) = 9", + " Seconds = ((53.163140 - 53) × 60 - 9) × 60 = 47.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 2", + " Minutes = 12", + " Seconds = 45.1", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 53°9'47.3\"N, 2°12'45.1\"W", + "FINAL ANSWER: 53°9'47.3\"N, 2°12'45.1\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Strathroy", + "source_format": "decimal_degrees", + "source_string": "42.955100, -81.622320", + "target_format": "DMS", + "ground_truth": { + "target_string": "42°57'18.4\"N, 81°37'20.4\"W", + "latitude": 42.9551, + "longitude": -81.62232 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 42.955100, -81.622320", + " Latitude: 42.9551°", + " Longitude: -81.62232°", + "Step 2: Convert latitude to DMS", + " Degrees = 42", + " Minutes = int((42.955100 - 42) × 60) = 57", + " Seconds = ((42.955100 - 42) × 60 - 57) × 60 = 18.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 81", + " Minutes = 37", + " Seconds = 20.4", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 42°57'18.4\"N, 81°37'20.4\"W", + "FINAL ANSWER: 42°57'18.4\"N, 81°37'20.4\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Gaya", + "source_format": "DMS", + "source_string": "11°51'38.3\"N, 9°0'9.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "11.860640, 9.002700", + "latitude": 11.86064, + "longitude": 9.0027 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 11°51'38.3\"N, 9°0'9.7\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 11.86064°", + "Step 4: Calculate longitude", + " Longitude: 9.0027°", + "FINAL ANSWER: 11.860640, 9.002700" + ] + }, + { + "task": "format_conversion", + "location_name": "Moroleón", + "source_format": "decimal_degrees", + "source_string": "20.125710, -101.192080", + "target_format": "DMS", + "ground_truth": { + "target_string": "20°7'32.6\"N, 101°11'31.5\"W", + "latitude": 20.12571, + "longitude": -101.19208 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 20.125710, -101.192080", + " Latitude: 20.12571°", + " Longitude: -101.19208°", + "Step 2: Convert latitude to DMS", + " Degrees = 20", + " Minutes = int((20.125710 - 20) × 60) = 7", + " Seconds = ((20.125710 - 20) × 60 - 7) × 60 = 32.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 101", + " Minutes = 11", + " Seconds = 31.5", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 20°7'32.6\"N, 101°11'31.5\"W", + "FINAL ANSWER: 20°7'32.6\"N, 101°11'31.5\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Messica", + "source_format": "decimal_degrees", + "source_string": "-18.991610, 33.082260", + "target_format": "DMS", + "ground_truth": { + "target_string": "18°59'29.8\"S, 33°4'56.1\"E", + "latitude": -18.99161, + "longitude": 33.08226 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -18.991610, 33.082260", + " Latitude: -18.99161°", + " Longitude: 33.08226°", + "Step 2: Convert latitude to DMS", + " Degrees = 18", + " Minutes = int((18.991610 - 18) × 60) = 59", + " Seconds = ((18.991610 - 18) × 60 - 59) × 60 = 29.8", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 33", + " Minutes = 4", + " Seconds = 56.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 18°59'29.8\"S, 33°4'56.1\"E", + "FINAL ANSWER: 18°59'29.8\"S, 33°4'56.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Harmanli", + "source_format": "DMS", + "source_string": "41°55'56.4\"N, 25°54'6.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "41.932330, 25.901720", + "latitude": 41.93233, + "longitude": 25.90172 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 41°55'56.4\"N, 25°54'6.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 41.93233°", + "Step 4: Calculate longitude", + " Longitude: 25.90172°", + "FINAL ANSWER: 41.932330, 25.901720" + ] + }, + { + "task": "format_conversion", + "location_name": "Tamura", + "source_format": "decimal_degrees", + "source_string": "37.430550, 140.603350", + "target_format": "DMS", + "ground_truth": { + "target_string": "37°25'50.0\"N, 140°36'12.1\"E", + "latitude": 37.43055, + "longitude": 140.60335 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 37.430550, 140.603350", + " Latitude: 37.43055°", + " Longitude: 140.60335°", + "Step 2: Convert latitude to DMS", + " Degrees = 37", + " Minutes = int((37.430550 - 37) × 60) = 25", + " Seconds = ((37.430550 - 37) × 60 - 25) × 60 = 50.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 140", + " Minutes = 36", + " Seconds = 12.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 37°25'50.0\"N, 140°36'12.1\"E", + "FINAL ANSWER: 37°25'50.0\"N, 140°36'12.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Cartersville", + "source_format": "DMS", + "source_string": "34°9'55.2\"N, 84°48'8.3\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "34.165330, -84.802310", + "latitude": 34.16533, + "longitude": -84.80231 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 34°9'55.2\"N, 84°48'8.3\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 34.16533°", + "Step 4: Calculate longitude", + " Longitude: -84.80231°", + "FINAL ANSWER: 34.165330, -84.802310" + ] + }, + { + "task": "format_conversion", + "location_name": "Balasore", + "source_format": "DMS", + "source_string": "21°29'33.6\"N, 86°56'0.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "21.492660, 86.933480", + "latitude": 21.49266, + "longitude": 86.93348 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 21°29'33.6\"N, 86°56'0.5\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 21.49266°", + "Step 4: Calculate longitude", + " Longitude: 86.93348°", + "FINAL ANSWER: 21.492660, 86.933480" + ] + }, + { + "task": "format_conversion", + "location_name": "Namyang", + "source_format": "DMS", + "source_string": "42°57'1.6\"N, 129°51'20.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "42.950440, 129.855710", + "latitude": 42.95044, + "longitude": 129.85571 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 42°57'1.6\"N, 129°51'20.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 42.95044°", + "Step 4: Calculate longitude", + " Longitude: 129.85571°", + "FINAL ANSWER: 42.950440, 129.855710" + ] + }, + { + "task": "format_conversion", + "location_name": "Udaipura", + "source_format": "decimal_degrees", + "source_string": "23.074340, 78.511080", + "target_format": "DMS", + "ground_truth": { + "target_string": "23°4'27.6\"N, 78°30'39.9\"E", + "latitude": 23.07434, + "longitude": 78.51108 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 23.074340, 78.511080", + " Latitude: 23.07434°", + " Longitude: 78.51108°", + "Step 2: Convert latitude to DMS", + " Degrees = 23", + " Minutes = int((23.074340 - 23) × 60) = 4", + " Seconds = ((23.074340 - 23) × 60 - 4) × 60 = 27.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 78", + " Minutes = 30", + " Seconds = 39.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 23°4'27.6\"N, 78°30'39.9\"E", + "FINAL ANSWER: 23°4'27.6\"N, 78°30'39.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kiminini", + "source_format": "decimal_degrees", + "source_string": "0.892840, 34.924680", + "target_format": "DMS", + "ground_truth": { + "target_string": "0°53'34.2\"N, 34°55'28.8\"E", + "latitude": 0.89284, + "longitude": 34.92468 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 0.892840, 34.924680", + " Latitude: 0.89284°", + " Longitude: 34.92468°", + "Step 2: Convert latitude to DMS", + " Degrees = 0", + " Minutes = int((0.892840 - 0) × 60) = 53", + " Seconds = ((0.892840 - 0) × 60 - 53) × 60 = 34.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 34", + " Minutes = 55", + " Seconds = 28.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 0°53'34.2\"N, 34°55'28.8\"E", + "FINAL ANSWER: 0°53'34.2\"N, 34°55'28.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Achkhoy-Martan", + "source_format": "decimal_degrees", + "source_string": "43.192190, 45.283450", + "target_format": "DMS", + "ground_truth": { + "target_string": "43°11'31.9\"N, 45°17'0.4\"E", + "latitude": 43.19219, + "longitude": 45.28345 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 43.192190, 45.283450", + " Latitude: 43.19219°", + " Longitude: 45.28345°", + "Step 2: Convert latitude to DMS", + " Degrees = 43", + " Minutes = int((43.192190 - 43) × 60) = 11", + " Seconds = ((43.192190 - 43) × 60 - 11) × 60 = 31.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 45", + " Minutes = 17", + " Seconds = 0.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 43°11'31.9\"N, 45°17'0.4\"E", + "FINAL ANSWER: 43°11'31.9\"N, 45°17'0.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Taloda", + "source_format": "DMS", + "source_string": "21°33'40.6\"N, 74°12'44.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "21.561280, 74.212380", + "latitude": 21.56128, + "longitude": 74.21238 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 21°33'40.6\"N, 74°12'44.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 21.56128°", + "Step 4: Calculate longitude", + " Longitude: 74.21238°", + "FINAL ANSWER: 21.561280, 74.212380" + ] + }, + { + "task": "format_conversion", + "location_name": "Honjō", + "source_format": "DMS", + "source_string": "36°14'16.1\"N, 139°11'24.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "36.237800, 139.190230", + "latitude": 36.2378, + "longitude": 139.19023 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 36°14'16.1\"N, 139°11'24.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 36.2378°", + "Step 4: Calculate longitude", + " Longitude: 139.19023°", + "FINAL ANSWER: 36.237800, 139.190230" + ] + }, + { + "task": "format_conversion", + "location_name": "Shilovo", + "source_format": "DMS", + "source_string": "54°19'12.2\"N, 40°52'46.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "54.320050, 40.879580", + "latitude": 54.32005, + "longitude": 40.87958 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 54°19'12.2\"N, 40°52'46.5\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 54.32005°", + "Step 4: Calculate longitude", + " Longitude: 40.87958°", + "FINAL ANSWER: 54.320050, 40.879580" + ] + }, + { + "task": "format_conversion", + "location_name": "Puan", + "source_format": "decimal_degrees", + "source_string": "35.728060, 126.731940", + "target_format": "DMS", + "ground_truth": { + "target_string": "35°43'41.0\"N, 126°43'55.0\"E", + "latitude": 35.72806, + "longitude": 126.73194 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 35.728060, 126.731940", + " Latitude: 35.72806°", + " Longitude: 126.73194°", + "Step 2: Convert latitude to DMS", + " Degrees = 35", + " Minutes = int((35.728060 - 35) × 60) = 43", + " Seconds = ((35.728060 - 35) × 60 - 43) × 60 = 41.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 126", + " Minutes = 43", + " Seconds = 55.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 35°43'41.0\"N, 126°43'55.0\"E", + "FINAL ANSWER: 35°43'41.0\"N, 126°43'55.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Sollentuna", + "source_format": "decimal_degrees", + "source_string": "59.428040, 17.950930", + "target_format": "DMS", + "ground_truth": { + "target_string": "59°25'40.9\"N, 17°57'3.3\"E", + "latitude": 59.42804, + "longitude": 17.95093 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 59.428040, 17.950930", + " Latitude: 59.42804°", + " Longitude: 17.95093°", + "Step 2: Convert latitude to DMS", + " Degrees = 59", + " Minutes = int((59.428040 - 59) × 60) = 25", + " Seconds = ((59.428040 - 59) × 60 - 25) × 60 = 40.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 17", + " Minutes = 57", + " Seconds = 3.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 59°25'40.9\"N, 17°57'3.3\"E", + "FINAL ANSWER: 59°25'40.9\"N, 17°57'3.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Bellaria-Igea Marina", + "source_format": "DMS", + "source_string": "44°8'33.2\"N, 12°28'17.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "44.142550, 12.471540", + "latitude": 44.14255, + "longitude": 12.47154 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 44°8'33.2\"N, 12°28'17.5\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 44.14255°", + "Step 4: Calculate longitude", + " Longitude: 12.47154°", + "FINAL ANSWER: 44.142550, 12.471540" + ] + }, + { + "task": "format_conversion", + "location_name": "Tequila", + "source_format": "decimal_degrees", + "source_string": "20.882050, -103.835990", + "target_format": "DMS", + "ground_truth": { + "target_string": "20°52'55.4\"N, 103°50'9.6\"W", + "latitude": 20.88205, + "longitude": -103.83599 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 20.882050, -103.835990", + " Latitude: 20.88205°", + " Longitude: -103.83599°", + "Step 2: Convert latitude to DMS", + " Degrees = 20", + " Minutes = int((20.882050 - 20) × 60) = 52", + " Seconds = ((20.882050 - 20) × 60 - 52) × 60 = 55.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 103", + " Minutes = 50", + " Seconds = 9.6", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 20°52'55.4\"N, 103°50'9.6\"W", + "FINAL ANSWER: 20°52'55.4\"N, 103°50'9.6\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Chaguanas", + "source_format": "DMS", + "source_string": "10°31'0.0\"N, 61°25'0.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "10.516670, -61.416670", + "latitude": 10.51667, + "longitude": -61.41667 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 10°31'0.0\"N, 61°25'0.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 10.51667°", + "Step 4: Calculate longitude", + " Longitude: -61.41667°", + "FINAL ANSWER: 10.516670, -61.416670" + ] + }, + { + "task": "format_conversion", + "location_name": "Dias d'Ávila", + "source_format": "decimal_degrees", + "source_string": "-12.612500, -38.296940", + "target_format": "DMS", + "ground_truth": { + "target_string": "12°36'45.0\"S, 38°17'49.0\"W", + "latitude": -12.6125, + "longitude": -38.29694 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -12.612500, -38.296940", + " Latitude: -12.6125°", + " Longitude: -38.29694°", + "Step 2: Convert latitude to DMS", + " Degrees = 12", + " Minutes = int((12.612500 - 12) × 60) = 36", + " Seconds = ((12.612500 - 12) × 60 - 36) × 60 = 45.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 38", + " Minutes = 17", + " Seconds = 49.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 12°36'45.0\"S, 38°17'49.0\"W", + "FINAL ANSWER: 12°36'45.0\"S, 38°17'49.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Berkovitsa", + "source_format": "decimal_degrees", + "source_string": "43.237410, 23.125090", + "target_format": "DMS", + "ground_truth": { + "target_string": "43°14'14.7\"N, 23°7'30.3\"E", + "latitude": 43.23741, + "longitude": 23.12509 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 43.237410, 23.125090", + " Latitude: 43.23741°", + " Longitude: 23.12509°", + "Step 2: Convert latitude to DMS", + " Degrees = 43", + " Minutes = int((43.237410 - 43) × 60) = 14", + " Seconds = ((43.237410 - 43) × 60 - 14) × 60 = 14.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 23", + " Minutes = 7", + " Seconds = 30.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 43°14'14.7\"N, 23°7'30.3\"E", + "FINAL ANSWER: 43°14'14.7\"N, 23°7'30.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Gresik", + "source_format": "decimal_degrees", + "source_string": "-7.153890, 112.656110", + "target_format": "DMS", + "ground_truth": { + "target_string": "7°9'14.0\"S, 112°39'22.0\"E", + "latitude": -7.15389, + "longitude": 112.65611 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -7.153890, 112.656110", + " Latitude: -7.15389°", + " Longitude: 112.65611°", + "Step 2: Convert latitude to DMS", + " Degrees = 7", + " Minutes = int((7.153890 - 7) × 60) = 9", + " Seconds = ((7.153890 - 7) × 60 - 9) × 60 = 14.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 112", + " Minutes = 39", + " Seconds = 22.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 7°9'14.0\"S, 112°39'22.0\"E", + "FINAL ANSWER: 7°9'14.0\"S, 112°39'22.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Jhajjar", + "source_format": "DMS", + "source_string": "28°36'22.7\"N, 76°39'23.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "28.606300, 76.656500", + "latitude": 28.6063, + "longitude": 76.6565 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 28°36'22.7\"N, 76°39'23.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 28.6063°", + "Step 4: Calculate longitude", + " Longitude: 76.6565°", + "FINAL ANSWER: 28.606300, 76.656500" + ] + }, + { + "task": "format_conversion", + "location_name": "Sultānpur", + "source_format": "DMS", + "source_string": "26°15'28.4\"N, 82°4'21.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "26.257880, 82.072690", + "latitude": 26.25788, + "longitude": 82.07269 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 26°15'28.4\"N, 82°4'21.7\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 26.25788°", + "Step 4: Calculate longitude", + " Longitude: 82.07269°", + "FINAL ANSWER: 26.257880, 82.072690" + ] + }, + { + "task": "format_conversion", + "location_name": "Anajás", + "source_format": "decimal_degrees", + "source_string": "-0.986670, -49.940000", + "target_format": "DMS", + "ground_truth": { + "target_string": "0°59'12.0\"S, 49°56'24.0\"W", + "latitude": -0.98667, + "longitude": -49.94 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -0.986670, -49.940000", + " Latitude: -0.98667°", + " Longitude: -49.94°", + "Step 2: Convert latitude to DMS", + " Degrees = 0", + " Minutes = int((0.986670 - 0) × 60) = 59", + " Seconds = ((0.986670 - 0) × 60 - 59) × 60 = 12.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 49", + " Minutes = 56", + " Seconds = 24.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 0°59'12.0\"S, 49°56'24.0\"W", + "FINAL ANSWER: 0°59'12.0\"S, 49°56'24.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Turbat", + "source_format": "DMS", + "source_string": "26°0'4.4\"N, 63°2'54.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "26.001220, 63.048490", + "latitude": 26.00122, + "longitude": 63.04849 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 26°0'4.4\"N, 63°2'54.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 26.00122°", + "Step 4: Calculate longitude", + " Longitude: 63.04849°", + "FINAL ANSWER: 26.001220, 63.048490" + ] + }, + { + "task": "format_conversion", + "location_name": "Kodarma", + "source_format": "decimal_degrees", + "source_string": "24.467530, 85.593970", + "target_format": "DMS", + "ground_truth": { + "target_string": "24°28'3.1\"N, 85°35'38.3\"E", + "latitude": 24.46753, + "longitude": 85.59397 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 24.467530, 85.593970", + " Latitude: 24.46753°", + " Longitude: 85.59397°", + "Step 2: Convert latitude to DMS", + " Degrees = 24", + " Minutes = int((24.467530 - 24) × 60) = 28", + " Seconds = ((24.467530 - 24) × 60 - 28) × 60 = 3.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 85", + " Minutes = 35", + " Seconds = 38.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 24°28'3.1\"N, 85°35'38.3\"E", + "FINAL ANSWER: 24°28'3.1\"N, 85°35'38.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Polavaram", + "source_format": "decimal_degrees", + "source_string": "17.247540, 81.643720", + "target_format": "DMS", + "ground_truth": { + "target_string": "17°14'51.1\"N, 81°38'37.4\"E", + "latitude": 17.24754, + "longitude": 81.64372 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 17.247540, 81.643720", + " Latitude: 17.24754°", + " Longitude: 81.64372°", + "Step 2: Convert latitude to DMS", + " Degrees = 17", + " Minutes = int((17.247540 - 17) × 60) = 14", + " Seconds = ((17.247540 - 17) × 60 - 14) × 60 = 51.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 81", + " Minutes = 38", + " Seconds = 37.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 17°14'51.1\"N, 81°38'37.4\"E", + "FINAL ANSWER: 17°14'51.1\"N, 81°38'37.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Qormi", + "source_format": "decimal_degrees", + "source_string": "35.876010, 14.472000", + "target_format": "DMS", + "ground_truth": { + "target_string": "35°52'33.6\"N, 14°28'19.2\"E", + "latitude": 35.87601, + "longitude": 14.472 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 35.876010, 14.472000", + " Latitude: 35.87601°", + " Longitude: 14.472°", + "Step 2: Convert latitude to DMS", + " Degrees = 35", + " Minutes = int((35.876010 - 35) × 60) = 52", + " Seconds = ((35.876010 - 35) × 60 - 52) × 60 = 33.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 14", + " Minutes = 28", + " Seconds = 19.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 35°52'33.6\"N, 14°28'19.2\"E", + "FINAL ANSWER: 35°52'33.6\"N, 14°28'19.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Eman", + "source_format": "DMS", + "source_string": "19°51'26.0\"N, 109°15'45.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "19.857230, 109.262710", + "latitude": 19.85723, + "longitude": 109.26271 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 19°51'26.0\"N, 109°15'45.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 19.85723°", + "Step 4: Calculate longitude", + " Longitude: 109.26271°", + "FINAL ANSWER: 19.857230, 109.262710" + ] + }, + { + "task": "format_conversion", + "location_name": "Milpa Alta", + "source_format": "decimal_degrees", + "source_string": "19.192510, -99.023170", + "target_format": "DMS", + "ground_truth": { + "target_string": "19°11'33.0\"N, 99°1'23.4\"W", + "latitude": 19.19251, + "longitude": -99.02317 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 19.192510, -99.023170", + " Latitude: 19.19251°", + " Longitude: -99.02317°", + "Step 2: Convert latitude to DMS", + " Degrees = 19", + " Minutes = int((19.192510 - 19) × 60) = 11", + " Seconds = ((19.192510 - 19) × 60 - 11) × 60 = 33.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 99", + " Minutes = 1", + " Seconds = 23.4", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 19°11'33.0\"N, 99°1'23.4\"W", + "FINAL ANSWER: 19°11'33.0\"N, 99°1'23.4\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "West Valley City", + "source_format": "DMS", + "source_string": "40°41'29.8\"N, 112°0'3.8\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.691610, -112.001050", + "latitude": 40.69161, + "longitude": -112.00105 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°41'29.8\"N, 112°0'3.8\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 40.69161°", + "Step 4: Calculate longitude", + " Longitude: -112.00105°", + "FINAL ANSWER: 40.691610, -112.001050" + ] + }, + { + "task": "format_conversion", + "location_name": "Wamba", + "source_format": "decimal_degrees", + "source_string": "2.148380, 27.994660", + "target_format": "DMS", + "ground_truth": { + "target_string": "2°8'54.2\"N, 27°59'40.8\"E", + "latitude": 2.14838, + "longitude": 27.99466 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 2.148380, 27.994660", + " Latitude: 2.14838°", + " Longitude: 27.99466°", + "Step 2: Convert latitude to DMS", + " Degrees = 2", + " Minutes = int((2.148380 - 2) × 60) = 8", + " Seconds = ((2.148380 - 2) × 60 - 8) × 60 = 54.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 27", + " Minutes = 59", + " Seconds = 40.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 2°8'54.2\"N, 27°59'40.8\"E", + "FINAL ANSWER: 2°8'54.2\"N, 27°59'40.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Gimja Bēt Maryam", + "source_format": "decimal_degrees", + "source_string": "10.850000, 36.883330", + "target_format": "DMS", + "ground_truth": { + "target_string": "10°50'60.0\"N, 36°52'60.0\"E", + "latitude": 10.85, + "longitude": 36.88333 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 10.850000, 36.883330", + " Latitude: 10.85°", + " Longitude: 36.88333°", + "Step 2: Convert latitude to DMS", + " Degrees = 10", + " Minutes = int((10.850000 - 10) × 60) = 50", + " Seconds = ((10.850000 - 10) × 60 - 50) × 60 = 60.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 36", + " Minutes = 52", + " Seconds = 60.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 10°50'60.0\"N, 36°52'60.0\"E", + "FINAL ANSWER: 10°50'60.0\"N, 36°52'60.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Tirumuruganpūndi", + "source_format": "DMS", + "source_string": "11°9'53.7\"N, 77°18'30.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "11.164930, 77.308380", + "latitude": 11.16493, + "longitude": 77.30838 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 11°9'53.7\"N, 77°18'30.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 11.16493°", + "Step 4: Calculate longitude", + " Longitude: 77.30838°", + "FINAL ANSWER: 11.164930, 77.308380" + ] + }, + { + "task": "format_conversion", + "location_name": "Loanda", + "source_format": "DMS", + "source_string": "22°55'23.0\"S, 53°8'14.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-22.923060, -53.137220", + "latitude": -22.92306, + "longitude": -53.13722 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 22°55'23.0\"S, 53°8'14.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -22.92306°", + "Step 4: Calculate longitude", + " Longitude: -53.13722°", + "FINAL ANSWER: -22.923060, -53.137220" + ] + }, + { + "task": "format_conversion", + "location_name": "Moyale", + "source_format": "DD", + "source_string": "3.526610, 39.056100", + "target_format": "DMS", + "ground_truth": { + "target_string": "3°31'35.8\"N, 39°3'22.0\"E", + "latitude": 3.52661, + "longitude": 39.0561 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: 3.526610, 39.056100", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 3°31'35.8\"N, 39°3'22.0\"E", + "FINAL ANSWER: 3°31'35.8\"N, 39°3'22.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "As Suwayq", + "source_format": "DMS", + "source_string": "23°50'58.0\"N, 57°26'19.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "23.849440, 57.438610", + "latitude": 23.84944, + "longitude": 57.43861 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 23°50'58.0\"N, 57°26'19.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 23.84944°", + "Step 4: Calculate longitude", + " Longitude: 57.43861°", + "FINAL ANSWER: 23.849440, 57.438610" + ] + }, + { + "task": "format_conversion", + "location_name": "Homewood", + "source_format": "decimal_degrees", + "source_string": "41.557260, -87.665600", + "target_format": "DMS", + "ground_truth": { + "target_string": "41°33'26.1\"N, 87°39'56.2\"W", + "latitude": 41.55726, + "longitude": -87.6656 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 41.557260, -87.665600", + " Latitude: 41.55726°", + " Longitude: -87.6656°", + "Step 2: Convert latitude to DMS", + " Degrees = 41", + " Minutes = int((41.557260 - 41) × 60) = 33", + " Seconds = ((41.557260 - 41) × 60 - 33) × 60 = 26.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 87", + " Minutes = 39", + " Seconds = 56.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 41°33'26.1\"N, 87°39'56.2\"W", + "FINAL ANSWER: 41°33'26.1\"N, 87°39'56.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Embalse", + "source_format": "DMS", + "source_string": "32°12'24.5\"S, 64°24'2.3\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-32.206810, -64.400640", + "latitude": -32.20681, + "longitude": -64.40064 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 32°12'24.5\"S, 64°24'2.3\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -32.20681°", + "Step 4: Calculate longitude", + " Longitude: -64.40064°", + "FINAL ANSWER: -32.206810, -64.400640" + ] + }, + { + "task": "format_conversion", + "location_name": "Solihull", + "source_format": "decimal_degrees", + "source_string": "52.414260, -1.780940", + "target_format": "DMS", + "ground_truth": { + "target_string": "52°24'51.3\"N, 1°46'51.4\"W", + "latitude": 52.41426, + "longitude": -1.78094 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 52.414260, -1.780940", + " Latitude: 52.41426°", + " Longitude: -1.78094°", + "Step 2: Convert latitude to DMS", + " Degrees = 52", + " Minutes = int((52.414260 - 52) × 60) = 24", + " Seconds = ((52.414260 - 52) × 60 - 24) × 60 = 51.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 1", + " Minutes = 46", + " Seconds = 51.4", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 52°24'51.3\"N, 1°46'51.4\"W", + "FINAL ANSWER: 52°24'51.3\"N, 1°46'51.4\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Rocklin", + "source_format": "decimal_degrees", + "source_string": "38.790730, -121.235780", + "target_format": "DMS", + "ground_truth": { + "target_string": "38°47'26.6\"N, 121°14'8.8\"W", + "latitude": 38.79073, + "longitude": -121.23578 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 38.790730, -121.235780", + " Latitude: 38.79073°", + " Longitude: -121.23578°", + "Step 2: Convert latitude to DMS", + " Degrees = 38", + " Minutes = int((38.790730 - 38) × 60) = 47", + " Seconds = ((38.790730 - 38) × 60 - 47) × 60 = 26.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 121", + " Minutes = 14", + " Seconds = 8.8", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 38°47'26.6\"N, 121°14'8.8\"W", + "FINAL ANSWER: 38°47'26.6\"N, 121°14'8.8\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Martinópolis", + "source_format": "DMS", + "source_string": "22°8'45.0\"S, 51°10'15.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-22.145830, -51.170830", + "latitude": -22.14583, + "longitude": -51.17083 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 22°8'45.0\"S, 51°10'15.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -22.14583°", + "Step 4: Calculate longitude", + " Longitude: -51.17083°", + "FINAL ANSWER: -22.145830, -51.170830" + ] + }, + { + "task": "format_conversion", + "location_name": "Delta del Tigre", + "source_format": "DMS", + "source_string": "34°45'53.6\"S, 56°21'52.2\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-34.764880, -56.364500", + "latitude": -34.76488, + "longitude": -56.3645 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 34°45'53.6\"S, 56°21'52.2\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -34.76488°", + "Step 4: Calculate longitude", + " Longitude: -56.3645°", + "FINAL ANSWER: -34.764880, -56.364500" + ] + }, + { + "task": "format_conversion", + "location_name": "Nikkō", + "source_format": "DD", + "source_string": "36.750000, 139.616670", + "target_format": "DMS", + "ground_truth": { + "target_string": "36°45'0.0\"N, 139°37'0.0\"E", + "latitude": 36.75, + "longitude": 139.61667 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: 36.750000, 139.616670", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 36°45'0.0\"N, 139°37'0.0\"E", + "FINAL ANSWER: 36°45'0.0\"N, 139°37'0.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Jodhpur", + "source_format": "decimal_degrees", + "source_string": "26.268410, 73.005940", + "target_format": "DMS", + "ground_truth": { + "target_string": "26°16'6.3\"N, 73°0'21.4\"E", + "latitude": 26.26841, + "longitude": 73.00594 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 26.268410, 73.005940", + " Latitude: 26.26841°", + " Longitude: 73.00594°", + "Step 2: Convert latitude to DMS", + " Degrees = 26", + " Minutes = int((26.268410 - 26) × 60) = 16", + " Seconds = ((26.268410 - 26) × 60 - 16) × 60 = 6.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 73", + " Minutes = 0", + " Seconds = 21.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 26°16'6.3\"N, 73°0'21.4\"E", + "FINAL ANSWER: 26°16'6.3\"N, 73°0'21.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Vicenza", + "source_format": "DMS", + "source_string": "45°32'48.2\"N, 11°32'51.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "45.546720, 11.547500", + "latitude": 45.54672, + "longitude": 11.5475 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 45°32'48.2\"N, 11°32'51.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 45.54672°", + "Step 4: Calculate longitude", + " Longitude: 11.5475°", + "FINAL ANSWER: 45.546720, 11.547500" + ] + }, + { + "task": "format_conversion", + "location_name": "Necochea", + "source_format": "DMS", + "source_string": "38°33'16.2\"S, 58°44'22.6\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-38.554500, -58.739610", + "latitude": -38.5545, + "longitude": -58.73961 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 38°33'16.2\"S, 58°44'22.6\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -38.5545°", + "Step 4: Calculate longitude", + " Longitude: -58.73961°", + "FINAL ANSWER: -38.554500, -58.739610" + ] + }, + { + "task": "format_conversion", + "location_name": "Badūria", + "source_format": "decimal_degrees", + "source_string": "22.744310, 88.786550", + "target_format": "DMS", + "ground_truth": { + "target_string": "22°44'39.5\"N, 88°47'11.6\"E", + "latitude": 22.74431, + "longitude": 88.78655 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 22.744310, 88.786550", + " Latitude: 22.74431°", + " Longitude: 88.78655°", + "Step 2: Convert latitude to DMS", + " Degrees = 22", + " Minutes = int((22.744310 - 22) × 60) = 44", + " Seconds = ((22.744310 - 22) × 60 - 44) × 60 = 39.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 88", + " Minutes = 47", + " Seconds = 11.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 22°44'39.5\"N, 88°47'11.6\"E", + "FINAL ANSWER: 22°44'39.5\"N, 88°47'11.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Haludbani", + "source_format": "decimal_degrees", + "source_string": "22.751230, 86.209900", + "target_format": "DMS", + "ground_truth": { + "target_string": "22°45'4.4\"N, 86°12'35.6\"E", + "latitude": 22.75123, + "longitude": 86.2099 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 22.751230, 86.209900", + " Latitude: 22.75123°", + " Longitude: 86.2099°", + "Step 2: Convert latitude to DMS", + " Degrees = 22", + " Minutes = int((22.751230 - 22) × 60) = 45", + " Seconds = ((22.751230 - 22) × 60 - 45) × 60 = 4.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 86", + " Minutes = 12", + " Seconds = 35.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 22°45'4.4\"N, 86°12'35.6\"E", + "FINAL ANSWER: 22°45'4.4\"N, 86°12'35.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Al Hindīyah", + "source_format": "DMS", + "source_string": "32°32'30.9\"N, 44°13'28.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "32.541930, 44.224690", + "latitude": 32.54193, + "longitude": 44.22469 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 32°32'30.9\"N, 44°13'28.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 32.54193°", + "Step 4: Calculate longitude", + " Longitude: 44.22469°", + "FINAL ANSWER: 32.541930, 44.224690" + ] + }, + { + "task": "format_conversion", + "location_name": "Pivdennoukrainsk", + "source_format": "DMS", + "source_string": "47°49'43.6\"N, 31°10'30.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "47.828790, 31.175130", + "latitude": 47.82879, + "longitude": 31.17513 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 47°49'43.6\"N, 31°10'30.5\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 47.82879°", + "Step 4: Calculate longitude", + " Longitude: 31.17513°", + "FINAL ANSWER: 47.828790, 31.175130" + ] + }, + { + "task": "format_conversion", + "location_name": "Sarrià", + "source_format": "decimal_degrees", + "source_string": "41.402690, 2.116200", + "target_format": "DMS", + "ground_truth": { + "target_string": "41°24'9.7\"N, 2°6'58.3\"E", + "latitude": 41.40269, + "longitude": 2.1162 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 41.402690, 2.116200", + " Latitude: 41.40269°", + " Longitude: 2.1162°", + "Step 2: Convert latitude to DMS", + " Degrees = 41", + " Minutes = int((41.402690 - 41) × 60) = 24", + " Seconds = ((41.402690 - 41) × 60 - 24) × 60 = 9.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 2", + " Minutes = 6", + " Seconds = 58.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 41°24'9.7\"N, 2°6'58.3\"E", + "FINAL ANSWER: 41°24'9.7\"N, 2°6'58.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Araripe", + "source_format": "decimal_degrees", + "source_string": "-7.213370, -40.137000", + "target_format": "DMS", + "ground_truth": { + "target_string": "7°12'48.1\"S, 40°8'13.2\"W", + "latitude": -7.21337, + "longitude": -40.137 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -7.213370, -40.137000", + " Latitude: -7.21337°", + " Longitude: -40.137°", + "Step 2: Convert latitude to DMS", + " Degrees = 7", + " Minutes = int((7.213370 - 7) × 60) = 12", + " Seconds = ((7.213370 - 7) × 60 - 12) × 60 = 48.1", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 40", + " Minutes = 8", + " Seconds = 13.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 7°12'48.1\"S, 40°8'13.2\"W", + "FINAL ANSWER: 7°12'48.1\"S, 40°8'13.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Chihuahua", + "source_format": "decimal_degrees", + "source_string": "28.635280, -106.088890", + "target_format": "DMS", + "ground_truth": { + "target_string": "28°38'7.0\"N, 106°5'20.0\"W", + "latitude": 28.63528, + "longitude": -106.08889 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 28.635280, -106.088890", + " Latitude: 28.63528°", + " Longitude: -106.08889°", + "Step 2: Convert latitude to DMS", + " Degrees = 28", + " Minutes = int((28.635280 - 28) × 60) = 38", + " Seconds = ((28.635280 - 28) × 60 - 38) × 60 = 7.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 106", + " Minutes = 5", + " Seconds = 20.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 28°38'7.0\"N, 106°5'20.0\"W", + "FINAL ANSWER: 28°38'7.0\"N, 106°5'20.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Taxkowrük", + "source_format": "DD", + "source_string": "43.892570, 81.306040", + "target_format": "DMS", + "ground_truth": { + "target_string": "43°53'33.3\"N, 81°18'21.7\"E", + "latitude": 43.89257, + "longitude": 81.30604 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: 43.892570, 81.306040", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 43°53'33.3\"N, 81°18'21.7\"E", + "FINAL ANSWER: 43°53'33.3\"N, 81°18'21.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Jersey City", + "source_format": "decimal_degrees", + "source_string": "40.728160, -74.077640", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°43'41.4\"N, 74°4'39.5\"W", + "latitude": 40.72816, + "longitude": -74.07764 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.728160, -74.077640", + " Latitude: 40.72816°", + " Longitude: -74.07764°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.728160 - 40) × 60) = 43", + " Seconds = ((40.728160 - 40) × 60 - 43) × 60 = 41.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 74", + " Minutes = 4", + " Seconds = 39.5", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 40°43'41.4\"N, 74°4'39.5\"W", + "FINAL ANSWER: 40°43'41.4\"N, 74°4'39.5\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Curicó", + "source_format": "decimal_degrees", + "source_string": "-34.982790, -71.239430", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°58'58.0\"S, 71°14'21.9\"W", + "latitude": -34.98279, + "longitude": -71.23943 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -34.982790, -71.239430", + " Latitude: -34.98279°", + " Longitude: -71.23943°", + "Step 2: Convert latitude to DMS", + " Degrees = 34", + " Minutes = int((34.982790 - 34) × 60) = 58", + " Seconds = ((34.982790 - 34) × 60 - 58) × 60 = 58.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 71", + " Minutes = 14", + " Seconds = 21.9", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 34°58'58.0\"S, 71°14'21.9\"W", + "FINAL ANSWER: 34°58'58.0\"S, 71°14'21.9\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Clarksville", + "source_format": "decimal_degrees", + "source_string": "36.529770, -87.359450", + "target_format": "DMS", + "ground_truth": { + "target_string": "36°31'47.2\"N, 87°21'34.0\"W", + "latitude": 36.52977, + "longitude": -87.35945 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 36.529770, -87.359450", + " Latitude: 36.52977°", + " Longitude: -87.35945°", + "Step 2: Convert latitude to DMS", + " Degrees = 36", + " Minutes = int((36.529770 - 36) × 60) = 31", + " Seconds = ((36.529770 - 36) × 60 - 31) × 60 = 47.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 87", + " Minutes = 21", + " Seconds = 34.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 36°31'47.2\"N, 87°21'34.0\"W", + "FINAL ANSWER: 36°31'47.2\"N, 87°21'34.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Noveleta", + "source_format": "DMS", + "source_string": "14°25'45.2\"N, 120°52'47.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "14.429220, 120.879890", + "latitude": 14.42922, + "longitude": 120.87989 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 14°25'45.2\"N, 120°52'47.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 14.42922°", + "Step 4: Calculate longitude", + " Longitude: 120.87989°", + "FINAL ANSWER: 14.429220, 120.879890" + ] + }, + { + "task": "format_conversion", + "location_name": "Findlay", + "source_format": "decimal_degrees", + "source_string": "41.044220, -83.649930", + "target_format": "DMS", + "ground_truth": { + "target_string": "41°2'39.2\"N, 83°38'59.7\"W", + "latitude": 41.04422, + "longitude": -83.64993 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 41.044220, -83.649930", + " Latitude: 41.04422°", + " Longitude: -83.64993°", + "Step 2: Convert latitude to DMS", + " Degrees = 41", + " Minutes = int((41.044220 - 41) × 60) = 2", + " Seconds = ((41.044220 - 41) × 60 - 2) × 60 = 39.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 83", + " Minutes = 38", + " Seconds = 59.7", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 41°2'39.2\"N, 83°38'59.7\"W", + "FINAL ANSWER: 41°2'39.2\"N, 83°38'59.7\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Eschwege", + "source_format": "DMS", + "source_string": "51°11'1.9\"N, 10°3'11.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "51.183860, 10.053290", + "latitude": 51.18386, + "longitude": 10.05329 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 51°11'1.9\"N, 10°3'11.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 51.18386°", + "Step 4: Calculate longitude", + " Longitude: 10.05329°", + "FINAL ANSWER: 51.183860, 10.053290" + ] + }, + { + "task": "format_conversion", + "location_name": "Sakumona", + "source_format": "decimal_degrees", + "source_string": "5.621350, -0.051930", + "target_format": "DMS", + "ground_truth": { + "target_string": "5°37'16.9\"N, 0°3'6.9\"W", + "latitude": 5.62135, + "longitude": -0.05193 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 5.621350, -0.051930", + " Latitude: 5.62135°", + " Longitude: -0.05193°", + "Step 2: Convert latitude to DMS", + " Degrees = 5", + " Minutes = int((5.621350 - 5) × 60) = 37", + " Seconds = ((5.621350 - 5) × 60 - 37) × 60 = 16.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 0", + " Minutes = 3", + " Seconds = 6.9", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 5°37'16.9\"N, 0°3'6.9\"W", + "FINAL ANSWER: 5°37'16.9\"N, 0°3'6.9\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Telabastagan", + "source_format": "decimal_degrees", + "source_string": "15.118540, 120.607730", + "target_format": "DMS", + "ground_truth": { + "target_string": "15°7'6.7\"N, 120°36'27.8\"E", + "latitude": 15.11854, + "longitude": 120.60773 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 15.118540, 120.607730", + " Latitude: 15.11854°", + " Longitude: 120.60773°", + "Step 2: Convert latitude to DMS", + " Degrees = 15", + " Minutes = int((15.118540 - 15) × 60) = 7", + " Seconds = ((15.118540 - 15) × 60 - 7) × 60 = 6.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 120", + " Minutes = 36", + " Seconds = 27.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 15°7'6.7\"N, 120°36'27.8\"E", + "FINAL ANSWER: 15°7'6.7\"N, 120°36'27.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Stafford", + "source_format": "decimal_degrees", + "source_string": "29.616070, -95.557720", + "target_format": "DMS", + "ground_truth": { + "target_string": "29°36'57.9\"N, 95°33'27.8\"W", + "latitude": 29.61607, + "longitude": -95.55772 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 29.616070, -95.557720", + " Latitude: 29.61607°", + " Longitude: -95.55772°", + "Step 2: Convert latitude to DMS", + " Degrees = 29", + " Minutes = int((29.616070 - 29) × 60) = 36", + " Seconds = ((29.616070 - 29) × 60 - 36) × 60 = 57.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 95", + " Minutes = 33", + " Seconds = 27.8", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 29°36'57.9\"N, 95°33'27.8\"W", + "FINAL ANSWER: 29°36'57.9\"N, 95°33'27.8\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Cambuslang", + "source_format": "DMS", + "source_string": "55°48'34.8\"N, 4°9'39.5\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "55.809660, -4.160960", + "latitude": 55.80966, + "longitude": -4.16096 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 55°48'34.8\"N, 4°9'39.5\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 55.80966°", + "Step 4: Calculate longitude", + " Longitude: -4.16096°", + "FINAL ANSWER: 55.809660, -4.160960" + ] + }, + { + "task": "format_conversion", + "location_name": "Santa Rita do Sapucaí", + "source_format": "DMS", + "source_string": "22°15'8.0\"S, 45°42'12.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-22.252220, -45.703330", + "latitude": -22.25222, + "longitude": -45.70333 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 22°15'8.0\"S, 45°42'12.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -22.25222°", + "Step 4: Calculate longitude", + " Longitude: -45.70333°", + "FINAL ANSWER: -22.252220, -45.703330" + ] + }, + { + "task": "format_conversion", + "location_name": "Wendelstein", + "source_format": "DMS", + "source_string": "49°21'8.3\"N, 11°9'2.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "49.352300, 11.150690", + "latitude": 49.3523, + "longitude": 11.15069 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 49°21'8.3\"N, 11°9'2.5\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 49.3523°", + "Step 4: Calculate longitude", + " Longitude: 11.15069°", + "FINAL ANSWER: 49.352300, 11.150690" + ] + }, + { + "task": "format_conversion", + "location_name": "Nalambūr", + "source_format": "DMS", + "source_string": "13°5'12.0\"N, 80°10'13.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "13.086670, 80.170280", + "latitude": 13.08667, + "longitude": 80.17028 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 13°5'12.0\"N, 80°10'13.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 13.08667°", + "Step 4: Calculate longitude", + " Longitude: 80.17028°", + "FINAL ANSWER: 13.086670, 80.170280" + ] + }, + { + "task": "format_conversion", + "location_name": "Pampán", + "source_format": "decimal_degrees", + "source_string": "9.445190, -70.475560", + "target_format": "DMS", + "ground_truth": { + "target_string": "9°26'42.7\"N, 70°28'32.0\"W", + "latitude": 9.44519, + "longitude": -70.47556 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 9.445190, -70.475560", + " Latitude: 9.44519°", + " Longitude: -70.47556°", + "Step 2: Convert latitude to DMS", + " Degrees = 9", + " Minutes = int((9.445190 - 9) × 60) = 26", + " Seconds = ((9.445190 - 9) × 60 - 26) × 60 = 42.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 70", + " Minutes = 28", + " Seconds = 32.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 9°26'42.7\"N, 70°28'32.0\"W", + "FINAL ANSWER: 9°26'42.7\"N, 70°28'32.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Xiluo", + "source_format": "decimal_degrees", + "source_string": "23.798910, 120.463370", + "target_format": "DMS", + "ground_truth": { + "target_string": "23°47'56.1\"N, 120°27'48.1\"E", + "latitude": 23.79891, + "longitude": 120.46337 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 23.798910, 120.463370", + " Latitude: 23.79891°", + " Longitude: 120.46337°", + "Step 2: Convert latitude to DMS", + " Degrees = 23", + " Minutes = int((23.798910 - 23) × 60) = 47", + " Seconds = ((23.798910 - 23) × 60 - 47) × 60 = 56.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 120", + " Minutes = 27", + " Seconds = 48.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 23°47'56.1\"N, 120°27'48.1\"E", + "FINAL ANSWER: 23°47'56.1\"N, 120°27'48.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Santiago Ixcuintla", + "source_format": "DMS", + "source_string": "21°48'46.6\"N, 105°12'30.4\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "21.812950, -105.208440", + "latitude": 21.81295, + "longitude": -105.20844 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 21°48'46.6\"N, 105°12'30.4\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 21.81295°", + "Step 4: Calculate longitude", + " Longitude: -105.20844°", + "FINAL ANSWER: 21.812950, -105.208440" + ] + }, + { + "task": "format_conversion", + "location_name": "Montbrison", + "source_format": "DMS", + "source_string": "45°36'27.1\"N, 4°3'54.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "45.607520, 4.065250", + "latitude": 45.60752, + "longitude": 4.06525 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 45°36'27.1\"N, 4°3'54.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 45.60752°", + "Step 4: Calculate longitude", + " Longitude: 4.06525°", + "FINAL ANSWER: 45.607520, 4.065250" + ] + }, + { + "task": "format_conversion", + "location_name": "Vadakku Viravanallur", + "source_format": "decimal_degrees", + "source_string": "8.697860, 77.519160", + "target_format": "DMS", + "ground_truth": { + "target_string": "8°41'52.3\"N, 77°31'9.0\"E", + "latitude": 8.69786, + "longitude": 77.51916 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 8.697860, 77.519160", + " Latitude: 8.69786°", + " Longitude: 77.51916°", + "Step 2: Convert latitude to DMS", + " Degrees = 8", + " Minutes = int((8.697860 - 8) × 60) = 41", + " Seconds = ((8.697860 - 8) × 60 - 41) × 60 = 52.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 77", + " Minutes = 31", + " Seconds = 9.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 8°41'52.3\"N, 77°31'9.0\"E", + "FINAL ANSWER: 8°41'52.3\"N, 77°31'9.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Inashiki", + "source_format": "decimal_degrees", + "source_string": "35.956330, 140.323560", + "target_format": "DMS", + "ground_truth": { + "target_string": "35°57'22.8\"N, 140°19'24.8\"E", + "latitude": 35.95633, + "longitude": 140.32356 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 35.956330, 140.323560", + " Latitude: 35.95633°", + " Longitude: 140.32356°", + "Step 2: Convert latitude to DMS", + " Degrees = 35", + " Minutes = int((35.956330 - 35) × 60) = 57", + " Seconds = ((35.956330 - 35) × 60 - 57) × 60 = 22.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 140", + " Minutes = 19", + " Seconds = 24.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 35°57'22.8\"N, 140°19'24.8\"E", + "FINAL ANSWER: 35°57'22.8\"N, 140°19'24.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Hinckley", + "source_format": "decimal_degrees", + "source_string": "52.538900, -1.376130", + "target_format": "DMS", + "ground_truth": { + "target_string": "52°32'20.0\"N, 1°22'34.1\"W", + "latitude": 52.5389, + "longitude": -1.37613 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 52.538900, -1.376130", + " Latitude: 52.5389°", + " Longitude: -1.37613°", + "Step 2: Convert latitude to DMS", + " Degrees = 52", + " Minutes = int((52.538900 - 52) × 60) = 32", + " Seconds = ((52.538900 - 52) × 60 - 32) × 60 = 20.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 1", + " Minutes = 22", + " Seconds = 34.1", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 52°32'20.0\"N, 1°22'34.1\"W", + "FINAL ANSWER: 52°32'20.0\"N, 1°22'34.1\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Riga", + "source_format": "decimal_degrees", + "source_string": "56.946000, 24.105890", + "target_format": "DMS", + "ground_truth": { + "target_string": "56°56'45.6\"N, 24°6'21.2\"E", + "latitude": 56.946, + "longitude": 24.10589 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 56.946000, 24.105890", + " Latitude: 56.946°", + " Longitude: 24.10589°", + "Step 2: Convert latitude to DMS", + " Degrees = 56", + " Minutes = int((56.946000 - 56) × 60) = 56", + " Seconds = ((56.946000 - 56) × 60 - 56) × 60 = 45.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 24", + " Minutes = 6", + " Seconds = 21.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 56°56'45.6\"N, 24°6'21.2\"E", + "FINAL ANSWER: 56°56'45.6\"N, 24°6'21.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Århus", + "source_format": "decimal_degrees", + "source_string": "56.156740, 10.210760", + "target_format": "DMS", + "ground_truth": { + "target_string": "56°9'24.3\"N, 10°12'38.7\"E", + "latitude": 56.15674, + "longitude": 10.21076 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 56.156740, 10.210760", + " Latitude: 56.15674°", + " Longitude: 10.21076°", + "Step 2: Convert latitude to DMS", + " Degrees = 56", + " Minutes = int((56.156740 - 56) × 60) = 9", + " Seconds = ((56.156740 - 56) × 60 - 9) × 60 = 24.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 10", + " Minutes = 12", + " Seconds = 38.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 56°9'24.3\"N, 10°12'38.7\"E", + "FINAL ANSWER: 56°9'24.3\"N, 10°12'38.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Argyroúpoli", + "source_format": "DMS", + "source_string": "37°54'21.4\"N, 23°45'1.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "37.905940, 23.750350", + "latitude": 37.90594, + "longitude": 23.75035 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 37°54'21.4\"N, 23°45'1.3\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 37.90594°", + "Step 4: Calculate longitude", + " Longitude: 23.75035°", + "FINAL ANSWER: 37.905940, 23.750350" + ] + }, + { + "task": "format_conversion", + "location_name": "Wangsa Maju", + "source_format": "decimal_degrees", + "source_string": "3.200560, 101.739720", + "target_format": "DMS", + "ground_truth": { + "target_string": "3°12'2.0\"N, 101°44'23.0\"E", + "latitude": 3.20056, + "longitude": 101.73972 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 3.200560, 101.739720", + " Latitude: 3.20056°", + " Longitude: 101.73972°", + "Step 2: Convert latitude to DMS", + " Degrees = 3", + " Minutes = int((3.200560 - 3) × 60) = 12", + " Seconds = ((3.200560 - 3) × 60 - 12) × 60 = 2.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 101", + " Minutes = 44", + " Seconds = 23.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 3°12'2.0\"N, 101°44'23.0\"E", + "FINAL ANSWER: 3°12'2.0\"N, 101°44'23.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Cerro Azul", + "source_format": "DMS", + "source_string": "24°49'25.0\"S, 49°15'40.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-24.823610, -49.261110", + "latitude": -24.82361, + "longitude": -49.26111 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 24°49'25.0\"S, 49°15'40.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -24.82361°", + "Step 4: Calculate longitude", + " Longitude: -49.26111°", + "FINAL ANSWER: -24.823610, -49.261110" + ] + }, + { + "task": "format_conversion", + "location_name": "Alexeyevka", + "source_format": "decimal_degrees", + "source_string": "50.630920, 38.690300", + "target_format": "DMS", + "ground_truth": { + "target_string": "50°37'51.3\"N, 38°41'25.1\"E", + "latitude": 50.63092, + "longitude": 38.6903 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 50.630920, 38.690300", + " Latitude: 50.63092°", + " Longitude: 38.6903°", + "Step 2: Convert latitude to DMS", + " Degrees = 50", + " Minutes = int((50.630920 - 50) × 60) = 37", + " Seconds = ((50.630920 - 50) × 60 - 37) × 60 = 51.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 38", + " Minutes = 41", + " Seconds = 25.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 50°37'51.3\"N, 38°41'25.1\"E", + "FINAL ANSWER: 50°37'51.3\"N, 38°41'25.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Bang Khae Nuea", + "source_format": "DMS", + "source_string": "13°42'19.9\"N, 100°23'21.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "13.705520, 100.389330", + "latitude": 13.70552, + "longitude": 100.38933 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 13°42'19.9\"N, 100°23'21.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 13.70552°", + "Step 4: Calculate longitude", + " Longitude: 100.38933°", + "FINAL ANSWER: 13.705520, 100.389330" + ] + }, + { + "task": "format_conversion", + "location_name": "Los Realejos", + "source_format": "DMS", + "source_string": "28°23'5.5\"N, 16°34'57.9\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "28.384870, -16.582750", + "latitude": 28.38487, + "longitude": -16.58275 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 28°23'5.5\"N, 16°34'57.9\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 28.38487°", + "Step 4: Calculate longitude", + " Longitude: -16.58275°", + "FINAL ANSWER: 28.384870, -16.582750" + ] + }, + { + "task": "format_conversion", + "location_name": "Oulunkylä", + "source_format": "DMS", + "source_string": "60°13'45.3\"N, 24°57'50.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "60.229240, 24.964030", + "latitude": 60.22924, + "longitude": 24.96403 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 60°13'45.3\"N, 24°57'50.5\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 60.22924°", + "Step 4: Calculate longitude", + " Longitude: 24.96403°", + "FINAL ANSWER: 60.229240, 24.964030" + ] + }, + { + "task": "format_conversion", + "location_name": "Gharo", + "source_format": "DMS", + "source_string": "24°44'30.6\"N, 67°35'7.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "24.741820, 67.585340", + "latitude": 24.74182, + "longitude": 67.58534 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 24°44'30.6\"N, 67°35'7.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 24.74182°", + "Step 4: Calculate longitude", + " Longitude: 67.58534°", + "FINAL ANSWER: 24.741820, 67.585340" + ] + }, + { + "task": "format_conversion", + "location_name": "Hillside", + "source_format": "decimal_degrees", + "source_string": "-37.690470, 144.741720", + "target_format": "DMS", + "ground_truth": { + "target_string": "37°41'25.7\"S, 144°44'30.2\"E", + "latitude": -37.69047, + "longitude": 144.74172 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -37.690470, 144.741720", + " Latitude: -37.69047°", + " Longitude: 144.74172°", + "Step 2: Convert latitude to DMS", + " Degrees = 37", + " Minutes = int((37.690470 - 37) × 60) = 41", + " Seconds = ((37.690470 - 37) × 60 - 41) × 60 = 25.7", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 144", + " Minutes = 44", + " Seconds = 30.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 37°41'25.7\"S, 144°44'30.2\"E", + "FINAL ANSWER: 37°41'25.7\"S, 144°44'30.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Barajas de Madrid", + "source_format": "DMS", + "source_string": "40°28'25.2\"N, 3°34'40.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.473660, -3.577770", + "latitude": 40.47366, + "longitude": -3.57777 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°28'25.2\"N, 3°34'40.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 40.47366°", + "Step 4: Calculate longitude", + " Longitude: -3.57777°", + "FINAL ANSWER: 40.473660, -3.577770" + ] + }, + { + "task": "format_conversion", + "location_name": "Patigi", + "source_format": "DMS", + "source_string": "8°43'42.6\"N, 5°45'20.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "8.728510, 5.755610", + "latitude": 8.72851, + "longitude": 5.75561 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 8°43'42.6\"N, 5°45'20.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 8.72851°", + "Step 4: Calculate longitude", + " Longitude: 5.75561°", + "FINAL ANSWER: 8.728510, 5.755610" + ] + }, + { + "task": "format_conversion", + "location_name": "Chettipālaiyam", + "source_format": "DMS", + "source_string": "10°54'44.9\"N, 77°2'13.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "10.912480, 77.036990", + "latitude": 10.91248, + "longitude": 77.03699 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 10°54'44.9\"N, 77°2'13.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 10.91248°", + "Step 4: Calculate longitude", + " Longitude: 77.03699°", + "FINAL ANSWER: 10.912480, 77.036990" + ] + }, + { + "task": "format_conversion", + "location_name": "Englewood", + "source_format": "DMS", + "source_string": "41°46'47.1\"N, 87°38'45.2\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "41.779760, -87.645880", + "latitude": 41.77976, + "longitude": -87.64588 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 41°46'47.1\"N, 87°38'45.2\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 41.77976°", + "Step 4: Calculate longitude", + " Longitude: -87.64588°", + "FINAL ANSWER: 41.779760, -87.645880" + ] + }, + { + "task": "format_conversion", + "location_name": "Venice", + "source_format": "decimal_degrees", + "source_string": "45.437130, 12.332650", + "target_format": "DMS", + "ground_truth": { + "target_string": "45°26'13.7\"N, 12°19'57.5\"E", + "latitude": 45.43713, + "longitude": 12.33265 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 45.437130, 12.332650", + " Latitude: 45.43713°", + " Longitude: 12.33265°", + "Step 2: Convert latitude to DMS", + " Degrees = 45", + " Minutes = int((45.437130 - 45) × 60) = 26", + " Seconds = ((45.437130 - 45) × 60 - 26) × 60 = 13.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 12", + " Minutes = 19", + " Seconds = 57.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 45°26'13.7\"N, 12°19'57.5\"E", + "FINAL ANSWER: 45°26'13.7\"N, 12°19'57.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Esbjerg", + "source_format": "decimal_degrees", + "source_string": "55.470280, 8.451870", + "target_format": "DMS", + "ground_truth": { + "target_string": "55°28'13.0\"N, 8°27'6.7\"E", + "latitude": 55.47028, + "longitude": 8.45187 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 55.470280, 8.451870", + " Latitude: 55.47028°", + " Longitude: 8.45187°", + "Step 2: Convert latitude to DMS", + " Degrees = 55", + " Minutes = int((55.470280 - 55) × 60) = 28", + " Seconds = ((55.470280 - 55) × 60 - 28) × 60 = 13.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 8", + " Minutes = 27", + " Seconds = 6.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 55°28'13.0\"N, 8°27'6.7\"E", + "FINAL ANSWER: 55°28'13.0\"N, 8°27'6.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Prestons", + "source_format": "decimal_degrees", + "source_string": "-33.941850, 150.871700", + "target_format": "DMS", + "ground_truth": { + "target_string": "33°56'30.7\"S, 150°52'18.1\"E", + "latitude": -33.94185, + "longitude": 150.8717 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -33.941850, 150.871700", + " Latitude: -33.94185°", + " Longitude: 150.8717°", + "Step 2: Convert latitude to DMS", + " Degrees = 33", + " Minutes = int((33.941850 - 33) × 60) = 56", + " Seconds = ((33.941850 - 33) × 60 - 56) × 60 = 30.7", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 150", + " Minutes = 52", + " Seconds = 18.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 33°56'30.7\"S, 150°52'18.1\"E", + "FINAL ANSWER: 33°56'30.7\"S, 150°52'18.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kokrajhar", + "source_format": "decimal_degrees", + "source_string": "26.401070, 90.272860", + "target_format": "DMS", + "ground_truth": { + "target_string": "26°24'3.9\"N, 90°16'22.3\"E", + "latitude": 26.40107, + "longitude": 90.27286 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 26.401070, 90.272860", + " Latitude: 26.40107°", + " Longitude: 90.27286°", + "Step 2: Convert latitude to DMS", + " Degrees = 26", + " Minutes = int((26.401070 - 26) × 60) = 24", + " Seconds = ((26.401070 - 26) × 60 - 24) × 60 = 3.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 90", + " Minutes = 16", + " Seconds = 22.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 26°24'3.9\"N, 90°16'22.3\"E", + "FINAL ANSWER: 26°24'3.9\"N, 90°16'22.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Dniprorudne", + "source_format": "decimal_degrees", + "source_string": "47.389930, 35.000650", + "target_format": "DMS", + "ground_truth": { + "target_string": "47°23'23.7\"N, 35°0'2.3\"E", + "latitude": 47.38993, + "longitude": 35.00065 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 47.389930, 35.000650", + " Latitude: 47.38993°", + " Longitude: 35.00065°", + "Step 2: Convert latitude to DMS", + " Degrees = 47", + " Minutes = int((47.389930 - 47) × 60) = 23", + " Seconds = ((47.389930 - 47) × 60 - 23) × 60 = 23.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 35", + " Minutes = 0", + " Seconds = 2.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 47°23'23.7\"N, 35°0'2.3\"E", + "FINAL ANSWER: 47°23'23.7\"N, 35°0'2.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kailua", + "source_format": "DMS", + "source_string": "21°24'8.7\"N, 157°44'25.9\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "21.402410, -157.740540", + "latitude": 21.40241, + "longitude": -157.74054 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 21°24'8.7\"N, 157°44'25.9\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 21.40241°", + "Step 4: Calculate longitude", + " Longitude: -157.74054°", + "FINAL ANSWER: 21.402410, -157.740540" + ] + }, + { + "task": "format_conversion", + "location_name": "Davenport", + "source_format": "decimal_degrees", + "source_string": "41.523640, -90.577640", + "target_format": "DMS", + "ground_truth": { + "target_string": "41°31'25.1\"N, 90°34'39.5\"W", + "latitude": 41.52364, + "longitude": -90.57764 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 41.523640, -90.577640", + " Latitude: 41.52364°", + " Longitude: -90.57764°", + "Step 2: Convert latitude to DMS", + " Degrees = 41", + " Minutes = int((41.523640 - 41) × 60) = 31", + " Seconds = ((41.523640 - 41) × 60 - 31) × 60 = 25.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 90", + " Minutes = 34", + " Seconds = 39.5", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 41°31'25.1\"N, 90°34'39.5\"W", + "FINAL ANSWER: 41°31'25.1\"N, 90°34'39.5\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Utinga", + "source_format": "DMS", + "source_string": "12°4'54.0\"S, 41°5'40.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-12.081670, -41.094440", + "latitude": -12.08167, + "longitude": -41.09444 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 12°4'54.0\"S, 41°5'40.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -12.08167°", + "Step 4: Calculate longitude", + " Longitude: -41.09444°", + "FINAL ANSWER: -12.081670, -41.094440" + ] + }, + { + "task": "format_conversion", + "location_name": "Ilha Solteira", + "source_format": "decimal_degrees", + "source_string": "-20.432780, -51.342500", + "target_format": "DMS", + "ground_truth": { + "target_string": "20°25'58.0\"S, 51°20'33.0\"W", + "latitude": -20.43278, + "longitude": -51.3425 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -20.432780, -51.342500", + " Latitude: -20.43278°", + " Longitude: -51.3425°", + "Step 2: Convert latitude to DMS", + " Degrees = 20", + " Minutes = int((20.432780 - 20) × 60) = 25", + " Seconds = ((20.432780 - 20) × 60 - 25) × 60 = 58.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 51", + " Minutes = 20", + " Seconds = 33.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 20°25'58.0\"S, 51°20'33.0\"W", + "FINAL ANSWER: 20°25'58.0\"S, 51°20'33.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Buchanan", + "source_format": "decimal_degrees", + "source_string": "5.876930, -10.049640", + "target_format": "DMS", + "ground_truth": { + "target_string": "5°52'36.9\"N, 10°2'58.7\"W", + "latitude": 5.87693, + "longitude": -10.04964 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 5.876930, -10.049640", + " Latitude: 5.87693°", + " Longitude: -10.04964°", + "Step 2: Convert latitude to DMS", + " Degrees = 5", + " Minutes = int((5.876930 - 5) × 60) = 52", + " Seconds = ((5.876930 - 5) × 60 - 52) × 60 = 36.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 10", + " Minutes = 2", + " Seconds = 58.7", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 5°52'36.9\"N, 10°2'58.7\"W", + "FINAL ANSWER: 5°52'36.9\"N, 10°2'58.7\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Korwai", + "source_format": "decimal_degrees", + "source_string": "24.117740, 78.040070", + "target_format": "DMS", + "ground_truth": { + "target_string": "24°7'3.9\"N, 78°2'24.3\"E", + "latitude": 24.11774, + "longitude": 78.04007 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 24.117740, 78.040070", + " Latitude: 24.11774°", + " Longitude: 78.04007°", + "Step 2: Convert latitude to DMS", + " Degrees = 24", + " Minutes = int((24.117740 - 24) × 60) = 7", + " Seconds = ((24.117740 - 24) × 60 - 7) × 60 = 3.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 78", + " Minutes = 2", + " Seconds = 24.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 24°7'3.9\"N, 78°2'24.3\"E", + "FINAL ANSWER: 24°7'3.9\"N, 78°2'24.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Gobichettipalayam", + "source_format": "DMS", + "source_string": "11°27'17.9\"N, 77°26'31.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "11.454960, 77.442200", + "latitude": 11.45496, + "longitude": 77.4422 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 11°27'17.9\"N, 77°26'31.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 11.45496°", + "Step 4: Calculate longitude", + " Longitude: 77.4422°", + "FINAL ANSWER: 11.454960, 77.442200" + ] + }, + { + "task": "format_conversion", + "location_name": "Vasastaden", + "source_format": "decimal_degrees", + "source_string": "59.350000, 18.033330", + "target_format": "DMS", + "ground_truth": { + "target_string": "59°21'0.0\"N, 18°1'60.0\"E", + "latitude": 59.35, + "longitude": 18.03333 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 59.350000, 18.033330", + " Latitude: 59.35°", + " Longitude: 18.03333°", + "Step 2: Convert latitude to DMS", + " Degrees = 59", + " Minutes = int((59.350000 - 59) × 60) = 21", + " Seconds = ((59.350000 - 59) × 60 - 21) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 18", + " Minutes = 1", + " Seconds = 60.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 59°21'0.0\"N, 18°1'60.0\"E", + "FINAL ANSWER: 59°21'0.0\"N, 18°1'60.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Urasoe", + "source_format": "DMS", + "source_string": "26°15'32.5\"N, 127°43'48.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "26.259020, 127.730120", + "latitude": 26.25902, + "longitude": 127.73012 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 26°15'32.5\"N, 127°43'48.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 26.25902°", + "Step 4: Calculate longitude", + " Longitude: 127.73012°", + "FINAL ANSWER: 26.259020, 127.730120" + ] + }, + { + "task": "format_conversion", + "location_name": "Vilapicina i la Torre Llobeta", + "source_format": "DMS", + "source_string": "41°25'43.0\"N, 2°10'26.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "41.428610, 2.174100", + "latitude": 41.42861, + "longitude": 2.1741 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 41°25'43.0\"N, 2°10'26.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 41.42861°", + "Step 4: Calculate longitude", + " Longitude: 2.1741°", + "FINAL ANSWER: 41.428610, 2.174100" + ] + }, + { + "task": "format_conversion", + "location_name": "Tāsgaon", + "source_format": "DMS", + "source_string": "17°2'13.2\"N, 74°36'6.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "17.037000, 74.601710", + "latitude": 17.037, + "longitude": 74.60171 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 17°2'13.2\"N, 74°36'6.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 17.037°", + "Step 4: Calculate longitude", + " Longitude: 74.60171°", + "FINAL ANSWER: 17.037000, 74.601710" + ] + }, + { + "task": "format_conversion", + "location_name": "Ngong", + "source_format": "decimal_degrees", + "source_string": "-1.352700, 36.669900", + "target_format": "DMS", + "ground_truth": { + "target_string": "1°21'9.7\"S, 36°40'11.6\"E", + "latitude": -1.3527, + "longitude": 36.6699 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -1.352700, 36.669900", + " Latitude: -1.3527°", + " Longitude: 36.6699°", + "Step 2: Convert latitude to DMS", + " Degrees = 1", + " Minutes = int((1.352700 - 1) × 60) = 21", + " Seconds = ((1.352700 - 1) × 60 - 21) × 60 = 9.7", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 36", + " Minutes = 40", + " Seconds = 11.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 1°21'9.7\"S, 36°40'11.6\"E", + "FINAL ANSWER: 1°21'9.7\"S, 36°40'11.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Bayreuth", + "source_format": "decimal_degrees", + "source_string": "49.947820, 11.578930", + "target_format": "DMS", + "ground_truth": { + "target_string": "49°56'52.2\"N, 11°34'44.1\"E", + "latitude": 49.94782, + "longitude": 11.57893 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 49.947820, 11.578930", + " Latitude: 49.94782°", + " Longitude: 11.57893°", + "Step 2: Convert latitude to DMS", + " Degrees = 49", + " Minutes = int((49.947820 - 49) × 60) = 56", + " Seconds = ((49.947820 - 49) × 60 - 56) × 60 = 52.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 11", + " Minutes = 34", + " Seconds = 44.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 49°56'52.2\"N, 11°34'44.1\"E", + "FINAL ANSWER: 49°56'52.2\"N, 11°34'44.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Tomigusuku", + "source_format": "decimal_degrees", + "source_string": "26.185830, 127.681920", + "target_format": "DMS", + "ground_truth": { + "target_string": "26°11'9.0\"N, 127°40'54.9\"E", + "latitude": 26.18583, + "longitude": 127.68192 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 26.185830, 127.681920", + " Latitude: 26.18583°", + " Longitude: 127.68192°", + "Step 2: Convert latitude to DMS", + " Degrees = 26", + " Minutes = int((26.185830 - 26) × 60) = 11", + " Seconds = ((26.185830 - 26) × 60 - 11) × 60 = 9.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 127", + " Minutes = 40", + " Seconds = 54.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 26°11'9.0\"N, 127°40'54.9\"E", + "FINAL ANSWER: 26°11'9.0\"N, 127°40'54.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Esplugues de Llobregat", + "source_format": "DMS", + "source_string": "41°22'38.4\"N, 2°5'17.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "41.377320, 2.088090", + "latitude": 41.37732, + "longitude": 2.08809 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 41°22'38.4\"N, 2°5'17.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 41.37732°", + "Step 4: Calculate longitude", + " Longitude: 2.08809°", + "FINAL ANSWER: 41.377320, 2.088090" + ] + }, + { + "task": "format_conversion", + "location_name": "Grivegnée", + "source_format": "decimal_degrees", + "source_string": "50.621480, 5.611010", + "target_format": "DMS", + "ground_truth": { + "target_string": "50°37'17.3\"N, 5°36'39.6\"E", + "latitude": 50.62148, + "longitude": 5.61101 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 50.621480, 5.611010", + " Latitude: 50.62148°", + " Longitude: 5.61101°", + "Step 2: Convert latitude to DMS", + " Degrees = 50", + " Minutes = int((50.621480 - 50) × 60) = 37", + " Seconds = ((50.621480 - 50) × 60 - 37) × 60 = 17.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 5", + " Minutes = 36", + " Seconds = 39.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 50°37'17.3\"N, 5°36'39.6\"E", + "FINAL ANSWER: 50°37'17.3\"N, 5°36'39.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Custoias", + "source_format": "DMS", + "source_string": "41°6'19.1\"N, 7°19'15.5\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "41.105300, -7.320970", + "latitude": 41.1053, + "longitude": -7.32097 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 41°6'19.1\"N, 7°19'15.5\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 41.1053°", + "Step 4: Calculate longitude", + " Longitude: -7.32097°", + "FINAL ANSWER: 41.105300, -7.320970" + ] + }, + { + "task": "format_conversion", + "location_name": "Caparica", + "source_format": "DMS", + "source_string": "38°39'42.4\"N, 9°12'1.2\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "38.661790, -9.200320", + "latitude": 38.66179, + "longitude": -9.20032 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 38°39'42.4\"N, 9°12'1.2\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 38.66179°", + "Step 4: Calculate longitude", + " Longitude: -9.20032°", + "FINAL ANSWER: 38.661790, -9.200320" + ] + }, + { + "task": "format_conversion", + "location_name": "Monte Alegre", + "source_format": "decimal_degrees", + "source_string": "-2.000820, -54.081020", + "target_format": "DMS", + "ground_truth": { + "target_string": "2°0'3.0\"S, 54°4'51.7\"W", + "latitude": -2.00082, + "longitude": -54.08102 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -2.000820, -54.081020", + " Latitude: -2.00082°", + " Longitude: -54.08102°", + "Step 2: Convert latitude to DMS", + " Degrees = 2", + " Minutes = int((2.000820 - 2) × 60) = 0", + " Seconds = ((2.000820 - 2) × 60 - 0) × 60 = 3.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 54", + " Minutes = 4", + " Seconds = 51.7", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 2°0'3.0\"S, 54°4'51.7\"W", + "FINAL ANSWER: 2°0'3.0\"S, 54°4'51.7\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Sagua la Grande", + "source_format": "DMS", + "source_string": "22°48'24.0\"N, 80°4'32.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "22.806670, -80.075560", + "latitude": 22.80667, + "longitude": -80.07556 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 22°48'24.0\"N, 80°4'32.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 22.80667°", + "Step 4: Calculate longitude", + " Longitude: -80.07556°", + "FINAL ANSWER: 22.806670, -80.075560" + ] + }, + { + "task": "format_conversion", + "location_name": "São Bernardo", + "source_format": "DMS", + "source_string": "3°21'41.0\"S, 42°25'4.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-3.361390, -42.417780", + "latitude": -3.36139, + "longitude": -42.41778 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 3°21'41.0\"S, 42°25'4.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -3.36139°", + "Step 4: Calculate longitude", + " Longitude: -42.41778°", + "FINAL ANSWER: -3.361390, -42.417780" + ] + }, + { + "task": "format_conversion", + "location_name": "Zhucheng", + "source_format": "DMS", + "source_string": "35°59'41.0\"N, 119°23'51.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "35.994720, 119.397500", + "latitude": 35.99472, + "longitude": 119.3975 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 35°59'41.0\"N, 119°23'51.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 35.99472°", + "Step 4: Calculate longitude", + " Longitude: 119.3975°", + "FINAL ANSWER: 35.994720, 119.397500" + ] + }, + { + "task": "format_conversion", + "location_name": "Taunton", + "source_format": "DMS", + "source_string": "41°54'0.4\"N, 71°5'23.2\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "41.900100, -71.089770", + "latitude": 41.9001, + "longitude": -71.08977 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 41°54'0.4\"N, 71°5'23.2\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 41.9001°", + "Step 4: Calculate longitude", + " Longitude: -71.08977°", + "FINAL ANSWER: 41.900100, -71.089770" + ] + }, + { + "task": "format_conversion", + "location_name": "Seven Hills", + "source_format": "DMS", + "source_string": "33°46'60.0\"S, 150°55'60.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-33.783330, 150.933330", + "latitude": -33.78333, + "longitude": 150.93333 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 33°46'60.0\"S, 150°55'60.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -33.78333°", + "Step 4: Calculate longitude", + " Longitude: 150.93333°", + "FINAL ANSWER: -33.783330, 150.933330" + ] + }, + { + "task": "format_conversion", + "location_name": "Mouyondzi", + "source_format": "DMS", + "source_string": "3°59'39.7\"S, 13°55'37.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-3.994370, 13.927190", + "latitude": -3.99437, + "longitude": 13.92719 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 3°59'39.7\"S, 13°55'37.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -3.99437°", + "Step 4: Calculate longitude", + " Longitude: 13.92719°", + "FINAL ANSWER: -3.994370, 13.927190" + ] + }, + { + "task": "format_conversion", + "location_name": "Newcastle upon Tyne", + "source_format": "DMS", + "source_string": "54°58'23.8\"N, 1°36'50.3\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "54.973280, -1.613960", + "latitude": 54.97328, + "longitude": -1.61396 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 54°58'23.8\"N, 1°36'50.3\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 54.97328°", + "Step 4: Calculate longitude", + " Longitude: -1.61396°", + "FINAL ANSWER: 54.973280, -1.613960" + ] + }, + { + "task": "format_conversion", + "location_name": "Vyselki", + "source_format": "decimal_degrees", + "source_string": "45.580580, 39.657410", + "target_format": "DMS", + "ground_truth": { + "target_string": "45°34'50.1\"N, 39°39'26.7\"E", + "latitude": 45.58058, + "longitude": 39.65741 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 45.580580, 39.657410", + " Latitude: 45.58058°", + " Longitude: 39.65741°", + "Step 2: Convert latitude to DMS", + " Degrees = 45", + " Minutes = int((45.580580 - 45) × 60) = 34", + " Seconds = ((45.580580 - 45) × 60 - 34) × 60 = 50.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 39", + " Minutes = 39", + " Seconds = 26.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 45°34'50.1\"N, 39°39'26.7\"E", + "FINAL ANSWER: 45°34'50.1\"N, 39°39'26.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Centro", + "source_format": "DMS", + "source_string": "45°4'18.3\"N, 7°40'45.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "45.071760, 7.679190", + "latitude": 45.07176, + "longitude": 7.67919 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 45°4'18.3\"N, 7°40'45.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 45.07176°", + "Step 4: Calculate longitude", + " Longitude: 7.67919°", + "FINAL ANSWER: 45.071760, 7.679190" + ] + }, + { + "task": "format_conversion", + "location_name": "Adh Dhayd", + "source_format": "DMS", + "source_string": "25°17'17.2\"N, 55°52'53.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "25.288120, 55.881570", + "latitude": 25.28812, + "longitude": 55.88157 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 25°17'17.2\"N, 55°52'53.7\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 25.28812°", + "Step 4: Calculate longitude", + " Longitude: 55.88157°", + "FINAL ANSWER: 25.288120, 55.881570" + ] + }, + { + "task": "format_conversion", + "location_name": "Bairro Parque Nossa Senhora do Carmo", + "source_format": "DMS", + "source_string": "23°24'21.5\"S, 46°18'58.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-23.405980, -46.316110", + "latitude": -23.40598, + "longitude": -46.31611 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 23°24'21.5\"S, 46°18'58.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -23.40598°", + "Step 4: Calculate longitude", + " Longitude: -46.31611°", + "FINAL ANSWER: -23.405980, -46.316110" + ] + }, + { + "task": "format_conversion", + "location_name": "Obanazawa", + "source_format": "DMS", + "source_string": "38°36'12.0\"N, 140°24'7.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "38.603330, 140.401940", + "latitude": 38.60333, + "longitude": 140.40194 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 38°36'12.0\"N, 140°24'7.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 38.60333°", + "Step 4: Calculate longitude", + " Longitude: 140.40194°", + "FINAL ANSWER: 38.603330, 140.401940" + ] + }, + { + "task": "format_conversion", + "location_name": "Tokoza", + "source_format": "DMS", + "source_string": "26°21'36.0\"S, 28°7'44.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-26.360000, 28.129000", + "latitude": -26.36, + "longitude": 28.129 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 26°21'36.0\"S, 28°7'44.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -26.36°", + "Step 4: Calculate longitude", + " Longitude: 28.129°", + "FINAL ANSWER: -26.360000, 28.129000" + ] + }, + { + "task": "format_conversion", + "location_name": "Gorna Oryahovitsa", + "source_format": "DMS", + "source_string": "43°7'40.0\"N, 25°42'6.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "43.127780, 25.701670", + "latitude": 43.12778, + "longitude": 25.70167 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 43°7'40.0\"N, 25°42'6.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 43.12778°", + "Step 4: Calculate longitude", + " Longitude: 25.70167°", + "FINAL ANSWER: 43.127780, 25.701670" + ] + }, + { + "task": "format_conversion", + "location_name": "Águas Santas", + "source_format": "decimal_degrees", + "source_string": "41.210170, -8.575990", + "target_format": "DMS", + "ground_truth": { + "target_string": "41°12'36.6\"N, 8°34'33.6\"W", + "latitude": 41.21017, + "longitude": -8.57599 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 41.210170, -8.575990", + " Latitude: 41.21017°", + " Longitude: -8.57599°", + "Step 2: Convert latitude to DMS", + " Degrees = 41", + " Minutes = int((41.210170 - 41) × 60) = 12", + " Seconds = ((41.210170 - 41) × 60 - 12) × 60 = 36.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 8", + " Minutes = 34", + " Seconds = 33.6", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 41°12'36.6\"N, 8°34'33.6\"W", + "FINAL ANSWER: 41°12'36.6\"N, 8°34'33.6\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Sete Lagoas", + "source_format": "decimal_degrees", + "source_string": "-19.465830, -44.246670", + "target_format": "DMS", + "ground_truth": { + "target_string": "19°27'57.0\"S, 44°14'48.0\"W", + "latitude": -19.46583, + "longitude": -44.24667 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -19.465830, -44.246670", + " Latitude: -19.46583°", + " Longitude: -44.24667°", + "Step 2: Convert latitude to DMS", + " Degrees = 19", + " Minutes = int((19.465830 - 19) × 60) = 27", + " Seconds = ((19.465830 - 19) × 60 - 27) × 60 = 57.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 44", + " Minutes = 14", + " Seconds = 48.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 19°27'57.0\"S, 44°14'48.0\"W", + "FINAL ANSWER: 19°27'57.0\"S, 44°14'48.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Don Antonio", + "source_format": "DMS", + "source_string": "19°52'28.0\"N, 98°56'5.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "19.874440, -98.934720", + "latitude": 19.87444, + "longitude": -98.93472 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 19°52'28.0\"N, 98°56'5.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 19.87444°", + "Step 4: Calculate longitude", + " Longitude: -98.93472°", + "FINAL ANSWER: 19.874440, -98.934720" + ] + }, + { + "task": "format_conversion", + "location_name": "Rājgurunagar", + "source_format": "decimal_degrees", + "source_string": "18.866670, 73.900000", + "target_format": "DMS", + "ground_truth": { + "target_string": "18°52'0.0\"N, 73°54'0.0\"E", + "latitude": 18.86667, + "longitude": 73.9 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 18.866670, 73.900000", + " Latitude: 18.86667°", + " Longitude: 73.9°", + "Step 2: Convert latitude to DMS", + " Degrees = 18", + " Minutes = int((18.866670 - 18) × 60) = 52", + " Seconds = ((18.866670 - 18) × 60 - 52) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 73", + " Minutes = 54", + " Seconds = 0.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 18°52'0.0\"N, 73°54'0.0\"E", + "FINAL ANSWER: 18°52'0.0\"N, 73°54'0.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Holambra", + "source_format": "DMS", + "source_string": "22°37'59.0\"S, 47°3'20.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-22.633060, -47.055560", + "latitude": -22.63306, + "longitude": -47.05556 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 22°37'59.0\"S, 47°3'20.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -22.63306°", + "Step 4: Calculate longitude", + " Longitude: -47.05556°", + "FINAL ANSWER: -22.633060, -47.055560" + ] + }, + { + "task": "format_conversion", + "location_name": "Hamma Bouziane", + "source_format": "decimal_degrees", + "source_string": "36.412050, 6.596030", + "target_format": "DMS", + "ground_truth": { + "target_string": "36°24'43.4\"N, 6°35'45.7\"E", + "latitude": 36.41205, + "longitude": 6.59603 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 36.412050, 6.596030", + " Latitude: 36.41205°", + " Longitude: 6.59603°", + "Step 2: Convert latitude to DMS", + " Degrees = 36", + " Minutes = int((36.412050 - 36) × 60) = 24", + " Seconds = ((36.412050 - 36) × 60 - 24) × 60 = 43.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 6", + " Minutes = 35", + " Seconds = 45.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 36°24'43.4\"N, 6°35'45.7\"E", + "FINAL ANSWER: 36°24'43.4\"N, 6°35'45.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Manatí", + "source_format": "decimal_degrees", + "source_string": "18.427450, -66.492120", + "target_format": "DMS", + "ground_truth": { + "target_string": "18°25'38.8\"N, 66°29'31.6\"W", + "latitude": 18.42745, + "longitude": -66.49212 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 18.427450, -66.492120", + " Latitude: 18.42745°", + " Longitude: -66.49212°", + "Step 2: Convert latitude to DMS", + " Degrees = 18", + " Minutes = int((18.427450 - 18) × 60) = 25", + " Seconds = ((18.427450 - 18) × 60 - 25) × 60 = 38.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 66", + " Minutes = 29", + " Seconds = 31.6", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 18°25'38.8\"N, 66°29'31.6\"W", + "FINAL ANSWER: 18°25'38.8\"N, 66°29'31.6\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Muswell Hill", + "source_format": "DMS", + "source_string": "51°35'25.9\"N, 0°8'31.6\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "51.590540, -0.142120", + "latitude": 51.59054, + "longitude": -0.14212 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 51°35'25.9\"N, 0°8'31.6\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 51.59054°", + "Step 4: Calculate longitude", + " Longitude: -0.14212°", + "FINAL ANSWER: 51.590540, -0.142120" + ] + }, + { + "task": "format_conversion", + "location_name": "Matão", + "source_format": "DD", + "source_string": "-21.603330, -48.365830", + "target_format": "DMS", + "ground_truth": { + "target_string": "21°36'12.0\"S, 48°21'57.0\"W", + "latitude": -21.60333, + "longitude": -48.36583 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: -21.603330, -48.365830", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 21°36'12.0\"S, 48°21'57.0\"W", + "FINAL ANSWER: 21°36'12.0\"S, 48°21'57.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Ibbenbueren", + "source_format": "decimal_degrees", + "source_string": "52.279640, 7.714570", + "target_format": "DMS", + "ground_truth": { + "target_string": "52°16'46.7\"N, 7°42'52.5\"E", + "latitude": 52.27964, + "longitude": 7.71457 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 52.279640, 7.714570", + " Latitude: 52.27964°", + " Longitude: 7.71457°", + "Step 2: Convert latitude to DMS", + " Degrees = 52", + " Minutes = int((52.279640 - 52) × 60) = 16", + " Seconds = ((52.279640 - 52) × 60 - 16) × 60 = 46.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 7", + " Minutes = 42", + " Seconds = 52.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 52°16'46.7\"N, 7°42'52.5\"E", + "FINAL ANSWER: 52°16'46.7\"N, 7°42'52.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kumarapalayam", + "source_format": "decimal_degrees", + "source_string": "11.444950, 77.711020", + "target_format": "DMS", + "ground_truth": { + "target_string": "11°26'41.8\"N, 77°42'39.7\"E", + "latitude": 11.44495, + "longitude": 77.71102 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 11.444950, 77.711020", + " Latitude: 11.44495°", + " Longitude: 77.71102°", + "Step 2: Convert latitude to DMS", + " Degrees = 11", + " Minutes = int((11.444950 - 11) × 60) = 26", + " Seconds = ((11.444950 - 11) × 60 - 26) × 60 = 41.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 77", + " Minutes = 42", + " Seconds = 39.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 11°26'41.8\"N, 77°42'39.7\"E", + "FINAL ANSWER: 11°26'41.8\"N, 77°42'39.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Chelmsford", + "source_format": "decimal_degrees", + "source_string": "51.735750, 0.469580", + "target_format": "DMS", + "ground_truth": { + "target_string": "51°44'8.7\"N, 0°28'10.5\"E", + "latitude": 51.73575, + "longitude": 0.46958 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 51.735750, 0.469580", + " Latitude: 51.73575°", + " Longitude: 0.46958°", + "Step 2: Convert latitude to DMS", + " Degrees = 51", + " Minutes = int((51.735750 - 51) × 60) = 44", + " Seconds = ((51.735750 - 51) × 60 - 44) × 60 = 8.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 0", + " Minutes = 28", + " Seconds = 10.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 51°44'8.7\"N, 0°28'10.5\"E", + "FINAL ANSWER: 51°44'8.7\"N, 0°28'10.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Al Ghanāyim", + "source_format": "decimal_degrees", + "source_string": "26.875240, 31.329630", + "target_format": "DMS", + "ground_truth": { + "target_string": "26°52'30.9\"N, 31°19'46.7\"E", + "latitude": 26.87524, + "longitude": 31.32963 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 26.875240, 31.329630", + " Latitude: 26.87524°", + " Longitude: 31.32963°", + "Step 2: Convert latitude to DMS", + " Degrees = 26", + " Minutes = int((26.875240 - 26) × 60) = 52", + " Seconds = ((26.875240 - 26) × 60 - 52) × 60 = 30.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 31", + " Minutes = 19", + " Seconds = 46.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 26°52'30.9\"N, 31°19'46.7\"E", + "FINAL ANSWER: 26°52'30.9\"N, 31°19'46.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Scunthorpe", + "source_format": "DMS", + "source_string": "53°34'44.6\"N, 0°39'15.7\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "53.579050, -0.654370", + "latitude": 53.57905, + "longitude": -0.65437 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 53°34'44.6\"N, 0°39'15.7\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 53.57905°", + "Step 4: Calculate longitude", + " Longitude: -0.65437°", + "FINAL ANSWER: 53.579050, -0.654370" + ] + }, + { + "task": "format_conversion", + "location_name": "Zhubei", + "source_format": "decimal_degrees", + "source_string": "24.838330, 121.007780", + "target_format": "DMS", + "ground_truth": { + "target_string": "24°50'18.0\"N, 121°0'28.0\"E", + "latitude": 24.83833, + "longitude": 121.00778 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 24.838330, 121.007780", + " Latitude: 24.83833°", + " Longitude: 121.00778°", + "Step 2: Convert latitude to DMS", + " Degrees = 24", + " Minutes = int((24.838330 - 24) × 60) = 50", + " Seconds = ((24.838330 - 24) × 60 - 50) × 60 = 18.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 121", + " Minutes = 0", + " Seconds = 28.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 24°50'18.0\"N, 121°0'28.0\"E", + "FINAL ANSWER: 24°50'18.0\"N, 121°0'28.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Bulakamba", + "source_format": "DMS", + "source_string": "6°52'29.3\"S, 108°57'21.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-6.874800, 108.955900", + "latitude": -6.8748, + "longitude": 108.9559 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 6°52'29.3\"S, 108°57'21.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -6.8748°", + "Step 4: Calculate longitude", + " Longitude: 108.9559°", + "FINAL ANSWER: -6.874800, 108.955900" + ] + }, + { + "task": "format_conversion", + "location_name": "Viareggio", + "source_format": "decimal_degrees", + "source_string": "43.866930, 10.250200", + "target_format": "DMS", + "ground_truth": { + "target_string": "43°52'0.9\"N, 10°15'0.7\"E", + "latitude": 43.86693, + "longitude": 10.2502 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 43.866930, 10.250200", + " Latitude: 43.86693°", + " Longitude: 10.2502°", + "Step 2: Convert latitude to DMS", + " Degrees = 43", + " Minutes = int((43.866930 - 43) × 60) = 52", + " Seconds = ((43.866930 - 43) × 60 - 52) × 60 = 0.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 10", + " Minutes = 15", + " Seconds = 0.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 43°52'0.9\"N, 10°15'0.7\"E", + "FINAL ANSWER: 43°52'0.9\"N, 10°15'0.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Weleri", + "source_format": "DMS", + "source_string": "6°58'16.7\"S, 110°3'59.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-6.971300, 110.066600", + "latitude": -6.9713, + "longitude": 110.0666 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 6°58'16.7\"S, 110°3'59.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -6.9713°", + "Step 4: Calculate longitude", + " Longitude: 110.0666°", + "FINAL ANSWER: -6.971300, 110.066600" + ] + }, + { + "task": "format_conversion", + "location_name": "Owendo", + "source_format": "DMS", + "source_string": "0°17'28.4\"N, 9°30'16.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "0.291230, 9.504650", + "latitude": 0.29123, + "longitude": 9.50465 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 0°17'28.4\"N, 9°30'16.7\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 0.29123°", + "Step 4: Calculate longitude", + " Longitude: 9.50465°", + "FINAL ANSWER: 0.291230, 9.504650" + ] + }, + { + "task": "format_conversion", + "location_name": "Nantong", + "source_format": "decimal_degrees", + "source_string": "28.943860, 106.881940", + "target_format": "DMS", + "ground_truth": { + "target_string": "28°56'37.9\"N, 106°52'55.0\"E", + "latitude": 28.94386, + "longitude": 106.88194 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 28.943860, 106.881940", + " Latitude: 28.94386°", + " Longitude: 106.88194°", + "Step 2: Convert latitude to DMS", + " Degrees = 28", + " Minutes = int((28.943860 - 28) × 60) = 56", + " Seconds = ((28.943860 - 28) × 60 - 56) × 60 = 37.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 106", + " Minutes = 52", + " Seconds = 55.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 28°56'37.9\"N, 106°52'55.0\"E", + "FINAL ANSWER: 28°56'37.9\"N, 106°52'55.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Ucu Seles", + "source_format": "DMS", + "source_string": "11°24'44.5\"S, 14°18'23.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-11.412370, 14.306630", + "latitude": -11.41237, + "longitude": 14.30663 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 11°24'44.5\"S, 14°18'23.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -11.41237°", + "Step 4: Calculate longitude", + " Longitude: 14.30663°", + "FINAL ANSWER: -11.412370, 14.306630" + ] + }, + { + "task": "format_conversion", + "location_name": "Leblon", + "source_format": "decimal_degrees", + "source_string": "-22.984440, -43.223150", + "target_format": "DMS", + "ground_truth": { + "target_string": "22°59'4.0\"S, 43°13'23.3\"W", + "latitude": -22.98444, + "longitude": -43.22315 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -22.984440, -43.223150", + " Latitude: -22.98444°", + " Longitude: -43.22315°", + "Step 2: Convert latitude to DMS", + " Degrees = 22", + " Minutes = int((22.984440 - 22) × 60) = 59", + " Seconds = ((22.984440 - 22) × 60 - 59) × 60 = 4.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 43", + " Minutes = 13", + " Seconds = 23.3", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 22°59'4.0\"S, 43°13'23.3\"W", + "FINAL ANSWER: 22°59'4.0\"S, 43°13'23.3\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Sakado", + "source_format": "decimal_degrees", + "source_string": "35.956940, 139.388890", + "target_format": "DMS", + "ground_truth": { + "target_string": "35°57'25.0\"N, 139°23'20.0\"E", + "latitude": 35.95694, + "longitude": 139.38889 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 35.956940, 139.388890", + " Latitude: 35.95694°", + " Longitude: 139.38889°", + "Step 2: Convert latitude to DMS", + " Degrees = 35", + " Minutes = int((35.956940 - 35) × 60) = 57", + " Seconds = ((35.956940 - 35) × 60 - 57) × 60 = 25.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 139", + " Minutes = 23", + " Seconds = 20.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 35°57'25.0\"N, 139°23'20.0\"E", + "FINAL ANSWER: 35°57'25.0\"N, 139°23'20.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Sungai Besar", + "source_format": "decimal_degrees", + "source_string": "3.674600, 100.986700", + "target_format": "DMS", + "ground_truth": { + "target_string": "3°40'28.6\"N, 100°59'12.1\"E", + "latitude": 3.6746, + "longitude": 100.9867 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 3.674600, 100.986700", + " Latitude: 3.6746°", + " Longitude: 100.9867°", + "Step 2: Convert latitude to DMS", + " Degrees = 3", + " Minutes = int((3.674600 - 3) × 60) = 40", + " Seconds = ((3.674600 - 3) × 60 - 40) × 60 = 28.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 100", + " Minutes = 59", + " Seconds = 12.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 3°40'28.6\"N, 100°59'12.1\"E", + "FINAL ANSWER: 3°40'28.6\"N, 100°59'12.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Don Valley Village", + "source_format": "DMS", + "source_string": "43°46'59.8\"N, 79°21'13.1\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "43.783290, -79.353640", + "latitude": 43.78329, + "longitude": -79.35364 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 43°46'59.8\"N, 79°21'13.1\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 43.78329°", + "Step 4: Calculate longitude", + " Longitude: -79.35364°", + "FINAL ANSWER: 43.783290, -79.353640" + ] + }, + { + "task": "format_conversion", + "location_name": "Kaesŏng", + "source_format": "DMS", + "source_string": "37°58'15.0\"N, 126°33'16.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "37.970830, 126.554440", + "latitude": 37.97083, + "longitude": 126.55444 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 37°58'15.0\"N, 126°33'16.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 37.97083°", + "Step 4: Calculate longitude", + " Longitude: 126.55444°", + "FINAL ANSWER: 37.970830, 126.554440" + ] + }, + { + "task": "format_conversion", + "location_name": "East Patchogue", + "source_format": "DMS", + "source_string": "40°46'1.3\"N, 72°59'46.4\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.767040, -72.996220", + "latitude": 40.76704, + "longitude": -72.99622 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°46'1.3\"N, 72°59'46.4\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 40.76704°", + "Step 4: Calculate longitude", + " Longitude: -72.99622°", + "FINAL ANSWER: 40.767040, -72.996220" + ] + }, + { + "task": "format_conversion", + "location_name": "Ventimiglia", + "source_format": "DMS", + "source_string": "43°47'22.4\"N, 7°36'31.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "43.789560, 7.608720", + "latitude": 43.78956, + "longitude": 7.60872 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 43°47'22.4\"N, 7°36'31.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 43.78956°", + "Step 4: Calculate longitude", + " Longitude: 7.60872°", + "FINAL ANSWER: 43.789560, 7.608720" + ] + }, + { + "task": "format_conversion", + "location_name": "Zhaoqing", + "source_format": "DMS", + "source_string": "23°2'56.1\"N, 112°27'39.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "23.048930, 112.460910", + "latitude": 23.04893, + "longitude": 112.46091 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 23°2'56.1\"N, 112°27'39.3\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 23.04893°", + "Step 4: Calculate longitude", + " Longitude: 112.46091°", + "FINAL ANSWER: 23.048930, 112.460910" + ] + }, + { + "task": "format_conversion", + "location_name": "Bayview-Hunters Point", + "source_format": "DMS", + "source_string": "37°43'42.8\"N, 122°22'51.9\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "37.728550, -122.381070", + "latitude": 37.72855, + "longitude": -122.38107 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 37°43'42.8\"N, 122°22'51.9\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 37.72855°", + "Step 4: Calculate longitude", + " Longitude: -122.38107°", + "FINAL ANSWER: 37.728550, -122.381070" + ] + }, + { + "task": "format_conversion", + "location_name": "Gia Lâm", + "source_format": "DMS", + "source_string": "21°3'12.7\"N, 106°0'25.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "21.053520, 106.007120", + "latitude": 21.05352, + "longitude": 106.00712 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 21°3'12.7\"N, 106°0'25.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 21.05352°", + "Step 4: Calculate longitude", + " Longitude: 106.00712°", + "FINAL ANSWER: 21.053520, 106.007120" + ] + }, + { + "task": "format_conversion", + "location_name": "Pawāyan", + "source_format": "DMS", + "source_string": "28°3'58.5\"N, 80°6'11.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "28.066260, 80.103050", + "latitude": 28.06626, + "longitude": 80.10305 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 28°3'58.5\"N, 80°6'11.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 28.06626°", + "Step 4: Calculate longitude", + " Longitude: 80.10305°", + "FINAL ANSWER: 28.066260, 80.103050" + ] + }, + { + "task": "format_conversion", + "location_name": "Minakuchichō-matoba", + "source_format": "DMS", + "source_string": "34°58'0.0\"N, 136°10'0.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "34.966670, 136.166670", + "latitude": 34.96667, + "longitude": 136.16667 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 34°58'0.0\"N, 136°10'0.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 34.96667°", + "Step 4: Calculate longitude", + " Longitude: 136.16667°", + "FINAL ANSWER: 34.966670, 136.166670" + ] + }, + { + "task": "format_conversion", + "location_name": "Ibipeba", + "source_format": "DMS", + "source_string": "11°38'27.0\"S, 42°0'40.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-11.640830, -42.011110", + "latitude": -11.64083, + "longitude": -42.01111 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 11°38'27.0\"S, 42°0'40.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -11.64083°", + "Step 4: Calculate longitude", + " Longitude: -42.01111°", + "FINAL ANSWER: -11.640830, -42.011110" + ] + }, + { + "task": "format_conversion", + "location_name": "Roxas", + "source_format": "DMS", + "source_string": "17°7'8.2\"N, 121°37'12.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "17.118940, 121.620140", + "latitude": 17.11894, + "longitude": 121.62014 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 17°7'8.2\"N, 121°37'12.5\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 17.11894°", + "Step 4: Calculate longitude", + " Longitude: 121.62014°", + "FINAL ANSWER: 17.118940, 121.620140" + ] + }, + { + "task": "format_conversion", + "location_name": "Corby", + "source_format": "DMS", + "source_string": "52°29'46.9\"N, 0°41'21.8\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "52.496370, -0.689390", + "latitude": 52.49637, + "longitude": -0.68939 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 52°29'46.9\"N, 0°41'21.8\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 52.49637°", + "Step 4: Calculate longitude", + " Longitude: -0.68939°", + "FINAL ANSWER: 52.496370, -0.689390" + ] + }, + { + "task": "format_conversion", + "location_name": "Phan Rang-Tháp Chàm", + "source_format": "DMS", + "source_string": "11°33'51.6\"N, 108°59'18.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "11.564320, 108.988580", + "latitude": 11.56432, + "longitude": 108.98858 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 11°33'51.6\"N, 108°59'18.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 11.56432°", + "Step 4: Calculate longitude", + " Longitude: 108.98858°", + "FINAL ANSWER: 11.564320, 108.988580" + ] + }, + { + "task": "format_conversion", + "location_name": "Umbaúba", + "source_format": "decimal_degrees", + "source_string": "-11.383330, -37.657780", + "target_format": "DMS", + "ground_truth": { + "target_string": "11°22'60.0\"S, 37°39'28.0\"W", + "latitude": -11.38333, + "longitude": -37.65778 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -11.383330, -37.657780", + " Latitude: -11.38333°", + " Longitude: -37.65778°", + "Step 2: Convert latitude to DMS", + " Degrees = 11", + " Minutes = int((11.383330 - 11) × 60) = 22", + " Seconds = ((11.383330 - 11) × 60 - 22) × 60 = 60.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 37", + " Minutes = 39", + " Seconds = 28.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 11°22'60.0\"S, 37°39'28.0\"W", + "FINAL ANSWER: 11°22'60.0\"S, 37°39'28.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Granada", + "source_format": "decimal_degrees", + "source_string": "3.546250, -73.706870", + "target_format": "DMS", + "ground_truth": { + "target_string": "3°32'46.5\"N, 73°42'24.7\"W", + "latitude": 3.54625, + "longitude": -73.70687 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 3.546250, -73.706870", + " Latitude: 3.54625°", + " Longitude: -73.70687°", + "Step 2: Convert latitude to DMS", + " Degrees = 3", + " Minutes = int((3.546250 - 3) × 60) = 32", + " Seconds = ((3.546250 - 3) × 60 - 32) × 60 = 46.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 73", + " Minutes = 42", + " Seconds = 24.7", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 3°32'46.5\"N, 73°42'24.7\"W", + "FINAL ANSWER: 3°32'46.5\"N, 73°42'24.7\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Adiaké", + "source_format": "decimal_degrees", + "source_string": "5.286340, -3.304030", + "target_format": "DMS", + "ground_truth": { + "target_string": "5°17'10.8\"N, 3°18'14.5\"W", + "latitude": 5.28634, + "longitude": -3.30403 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 5.286340, -3.304030", + " Latitude: 5.28634°", + " Longitude: -3.30403°", + "Step 2: Convert latitude to DMS", + " Degrees = 5", + " Minutes = int((5.286340 - 5) × 60) = 17", + " Seconds = ((5.286340 - 5) × 60 - 17) × 60 = 10.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 3", + " Minutes = 18", + " Seconds = 14.5", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 5°17'10.8\"N, 3°18'14.5\"W", + "FINAL ANSWER: 5°17'10.8\"N, 3°18'14.5\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Bogotol", + "source_format": "decimal_degrees", + "source_string": "56.204490, 89.533170", + "target_format": "DMS", + "ground_truth": { + "target_string": "56°12'16.2\"N, 89°31'59.4\"E", + "latitude": 56.20449, + "longitude": 89.53317 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 56.204490, 89.533170", + " Latitude: 56.20449°", + " Longitude: 89.53317°", + "Step 2: Convert latitude to DMS", + " Degrees = 56", + " Minutes = int((56.204490 - 56) × 60) = 12", + " Seconds = ((56.204490 - 56) × 60 - 12) × 60 = 16.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 89", + " Minutes = 31", + " Seconds = 59.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 56°12'16.2\"N, 89°31'59.4\"E", + "FINAL ANSWER: 56°12'16.2\"N, 89°31'59.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Şebin Karahisar", + "source_format": "DD", + "source_string": "40.288330, 38.423610", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°17'18.0\"N, 38°25'25.0\"E", + "latitude": 40.28833, + "longitude": 38.42361 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: 40.288330, 38.423610", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 40°17'18.0\"N, 38°25'25.0\"E", + "FINAL ANSWER: 40°17'18.0\"N, 38°25'25.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kampung Bertam Ulu", + "source_format": "decimal_degrees", + "source_string": "2.289800, 102.192800", + "target_format": "DMS", + "ground_truth": { + "target_string": "2°17'23.3\"N, 102°11'34.1\"E", + "latitude": 2.2898, + "longitude": 102.1928 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 2.289800, 102.192800", + " Latitude: 2.2898°", + " Longitude: 102.1928°", + "Step 2: Convert latitude to DMS", + " Degrees = 2", + " Minutes = int((2.289800 - 2) × 60) = 17", + " Seconds = ((2.289800 - 2) × 60 - 17) × 60 = 23.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 102", + " Minutes = 11", + " Seconds = 34.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 2°17'23.3\"N, 102°11'34.1\"E", + "FINAL ANSWER: 2°17'23.3\"N, 102°11'34.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Xingning", + "source_format": "DMS", + "source_string": "24°8'53.9\"N, 115°43'21.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "24.148300, 115.722720", + "latitude": 24.1483, + "longitude": 115.72272 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 24°8'53.9\"N, 115°43'21.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 24.1483°", + "Step 4: Calculate longitude", + " Longitude: 115.72272°", + "FINAL ANSWER: 24.148300, 115.722720" + ] + }, + { + "task": "format_conversion", + "location_name": "Ad-Dindar", + "source_format": "DMS", + "source_string": "13°20'2.4\"N, 34°5'33.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "13.334000, 34.092680", + "latitude": 13.334, + "longitude": 34.09268 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 13°20'2.4\"N, 34°5'33.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 13.334°", + "Step 4: Calculate longitude", + " Longitude: 34.09268°", + "FINAL ANSWER: 13.334000, 34.092680" + ] + }, + { + "task": "format_conversion", + "location_name": "Hvidovre", + "source_format": "DMS", + "source_string": "55°38'34.7\"N, 12°28'37.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "55.642970, 12.477080", + "latitude": 55.64297, + "longitude": 12.47708 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 55°38'34.7\"N, 12°28'37.5\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 55.64297°", + "Step 4: Calculate longitude", + " Longitude: 12.47708°", + "FINAL ANSWER: 55.642970, 12.477080" + ] + }, + { + "task": "format_conversion", + "location_name": "Mira Taglio", + "source_format": "DMS", + "source_string": "45°26'4.6\"N, 12°7'45.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "45.434600, 12.129420", + "latitude": 45.4346, + "longitude": 12.12942 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 45°26'4.6\"N, 12°7'45.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 45.4346°", + "Step 4: Calculate longitude", + " Longitude: 12.12942°", + "FINAL ANSWER: 45.434600, 12.129420" + ] + }, + { + "task": "format_conversion", + "location_name": "São Caetano do Sul", + "source_format": "DMS", + "source_string": "23°37'23.0\"S, 46°33'4.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-23.623060, -46.551110", + "latitude": -23.62306, + "longitude": -46.55111 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 23°37'23.0\"S, 46°33'4.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -23.62306°", + "Step 4: Calculate longitude", + " Longitude: -46.55111°", + "FINAL ANSWER: -23.623060, -46.551110" + ] + }, + { + "task": "format_conversion", + "location_name": "Jidd Ḩafş", + "source_format": "decimal_degrees", + "source_string": "26.218610, 50.547780", + "target_format": "DMS", + "ground_truth": { + "target_string": "26°13'7.0\"N, 50°32'52.0\"E", + "latitude": 26.21861, + "longitude": 50.54778 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 26.218610, 50.547780", + " Latitude: 26.21861°", + " Longitude: 50.54778°", + "Step 2: Convert latitude to DMS", + " Degrees = 26", + " Minutes = int((26.218610 - 26) × 60) = 13", + " Seconds = ((26.218610 - 26) × 60 - 13) × 60 = 7.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 50", + " Minutes = 32", + " Seconds = 52.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 26°13'7.0\"N, 50°32'52.0\"E", + "FINAL ANSWER: 26°13'7.0\"N, 50°32'52.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Araruna", + "source_format": "DMS", + "source_string": "6°33'30.0\"S, 35°44'30.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-6.558330, -35.741670", + "latitude": -6.55833, + "longitude": -35.74167 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 6°33'30.0\"S, 35°44'30.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -6.55833°", + "Step 4: Calculate longitude", + " Longitude: -35.74167°", + "FINAL ANSWER: -6.558330, -35.741670" + ] + }, + { + "task": "format_conversion", + "location_name": "Bishkek", + "source_format": "decimal_degrees", + "source_string": "42.870000, 74.590000", + "target_format": "DMS", + "ground_truth": { + "target_string": "42°52'12.0\"N, 74°35'24.0\"E", + "latitude": 42.87, + "longitude": 74.59 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 42.870000, 74.590000", + " Latitude: 42.87°", + " Longitude: 74.59°", + "Step 2: Convert latitude to DMS", + " Degrees = 42", + " Minutes = int((42.870000 - 42) × 60) = 52", + " Seconds = ((42.870000 - 42) × 60 - 52) × 60 = 12.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 74", + " Minutes = 35", + " Seconds = 24.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 42°52'12.0\"N, 74°35'24.0\"E", + "FINAL ANSWER: 42°52'12.0\"N, 74°35'24.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "São João de Meriti", + "source_format": "decimal_degrees", + "source_string": "-22.803890, -43.372220", + "target_format": "DMS", + "ground_truth": { + "target_string": "22°48'14.0\"S, 43°22'20.0\"W", + "latitude": -22.80389, + "longitude": -43.37222 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -22.803890, -43.372220", + " Latitude: -22.80389°", + " Longitude: -43.37222°", + "Step 2: Convert latitude to DMS", + " Degrees = 22", + " Minutes = int((22.803890 - 22) × 60) = 48", + " Seconds = ((22.803890 - 22) × 60 - 48) × 60 = 14.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 43", + " Minutes = 22", + " Seconds = 20.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 22°48'14.0\"S, 43°22'20.0\"W", + "FINAL ANSWER: 22°48'14.0\"S, 43°22'20.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Vyazniki", + "source_format": "DMS", + "source_string": "56°14'32.2\"N, 42°8'56.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "56.242270, 42.149110", + "latitude": 56.24227, + "longitude": 42.14911 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 56°14'32.2\"N, 42°8'56.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 56.24227°", + "Step 4: Calculate longitude", + " Longitude: 42.14911°", + "FINAL ANSWER: 56.242270, 42.149110" + ] + }, + { + "task": "format_conversion", + "location_name": "Parque das Nações", + "source_format": "DMS", + "source_string": "38°46'8.7\"N, 9°5'46.8\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "38.769080, -9.096320", + "latitude": 38.76908, + "longitude": -9.09632 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 38°46'8.7\"N, 9°5'46.8\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 38.76908°", + "Step 4: Calculate longitude", + " Longitude: -9.09632°", + "FINAL ANSWER: 38.769080, -9.096320" + ] + }, + { + "task": "format_conversion", + "location_name": "Rishton", + "source_format": "decimal_degrees", + "source_string": "40.356670, 71.284720", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°21'24.0\"N, 71°17'5.0\"E", + "latitude": 40.35667, + "longitude": 71.28472 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.356670, 71.284720", + " Latitude: 40.35667°", + " Longitude: 71.28472°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.356670 - 40) × 60) = 21", + " Seconds = ((40.356670 - 40) × 60 - 21) × 60 = 24.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 71", + " Minutes = 17", + " Seconds = 5.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 40°21'24.0\"N, 71°17'5.0\"E", + "FINAL ANSWER: 40°21'24.0\"N, 71°17'5.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kigali", + "source_format": "DMS", + "source_string": "1°56'59.8\"S, 30°3'31.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-1.949950, 30.058850", + "latitude": -1.94995, + "longitude": 30.05885 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 1°56'59.8\"S, 30°3'31.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -1.94995°", + "Step 4: Calculate longitude", + " Longitude: 30.05885°", + "FINAL ANSWER: -1.949950, 30.058850" + ] + }, + { + "task": "format_conversion", + "location_name": "Boroon", + "source_format": "DMS", + "source_string": "8°10'58.0\"N, 124°10'37.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "8.182780, 124.177010", + "latitude": 8.18278, + "longitude": 124.17701 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 8°10'58.0\"N, 124°10'37.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 8.18278°", + "Step 4: Calculate longitude", + " Longitude: 124.17701°", + "FINAL ANSWER: 8.182780, 124.177010" + ] + }, + { + "task": "format_conversion", + "location_name": "Angra dos Reis", + "source_format": "decimal_degrees", + "source_string": "-23.006670, -44.318060", + "target_format": "DMS", + "ground_truth": { + "target_string": "23°0'24.0\"S, 44°19'5.0\"W", + "latitude": -23.00667, + "longitude": -44.31806 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -23.006670, -44.318060", + " Latitude: -23.00667°", + " Longitude: -44.31806°", + "Step 2: Convert latitude to DMS", + " Degrees = 23", + " Minutes = int((23.006670 - 23) × 60) = 0", + " Seconds = ((23.006670 - 23) × 60 - 0) × 60 = 24.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 44", + " Minutes = 19", + " Seconds = 5.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 23°0'24.0\"S, 44°19'5.0\"W", + "FINAL ANSWER: 23°0'24.0\"S, 44°19'5.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Cojímar", + "source_format": "DMS", + "source_string": "23°9'53.3\"N, 82°18'4.2\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "23.164810, -82.301160", + "latitude": 23.16481, + "longitude": -82.30116 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 23°9'53.3\"N, 82°18'4.2\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 23.16481°", + "Step 4: Calculate longitude", + " Longitude: -82.30116°", + "FINAL ANSWER: 23.164810, -82.301160" + ] + }, + { + "task": "format_conversion", + "location_name": "La Teste-de-Buch", + "source_format": "decimal_degrees", + "source_string": "44.632780, -1.145130", + "target_format": "DMS", + "ground_truth": { + "target_string": "44°37'58.0\"N, 1°8'42.5\"W", + "latitude": 44.63278, + "longitude": -1.14513 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 44.632780, -1.145130", + " Latitude: 44.63278°", + " Longitude: -1.14513°", + "Step 2: Convert latitude to DMS", + " Degrees = 44", + " Minutes = int((44.632780 - 44) × 60) = 37", + " Seconds = ((44.632780 - 44) × 60 - 37) × 60 = 58.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 1", + " Minutes = 8", + " Seconds = 42.5", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 44°37'58.0\"N, 1°8'42.5\"W", + "FINAL ANSWER: 44°37'58.0\"N, 1°8'42.5\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "El‘ad", + "source_format": "DMS", + "source_string": "32°2'59.4\"N, 34°57'13.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "32.049840, 34.953820", + "latitude": 32.04984, + "longitude": 34.95382 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 32°2'59.4\"N, 34°57'13.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 32.04984°", + "Step 4: Calculate longitude", + " Longitude: 34.95382°", + "FINAL ANSWER: 32.049840, 34.953820" + ] + }, + { + "task": "format_conversion", + "location_name": "Karabash", + "source_format": "decimal_degrees", + "source_string": "55.489530, 60.208850", + "target_format": "DMS", + "ground_truth": { + "target_string": "55°29'22.3\"N, 60°12'31.9\"E", + "latitude": 55.48953, + "longitude": 60.20885 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 55.489530, 60.208850", + " Latitude: 55.48953°", + " Longitude: 60.20885°", + "Step 2: Convert latitude to DMS", + " Degrees = 55", + " Minutes = int((55.489530 - 55) × 60) = 29", + " Seconds = ((55.489530 - 55) × 60 - 29) × 60 = 22.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 60", + " Minutes = 12", + " Seconds = 31.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 55°29'22.3\"N, 60°12'31.9\"E", + "FINAL ANSWER: 55°29'22.3\"N, 60°12'31.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Irákleio", + "source_format": "DMS", + "source_string": "38°3'10.2\"N, 23°45'54.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "38.052820, 23.765230", + "latitude": 38.05282, + "longitude": 23.76523 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 38°3'10.2\"N, 23°45'54.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 38.05282°", + "Step 4: Calculate longitude", + " Longitude: 23.76523°", + "FINAL ANSWER: 38.052820, 23.765230" + ] + }, + { + "task": "format_conversion", + "location_name": "Avinashi", + "source_format": "DMS", + "source_string": "11°11'34.7\"N, 77°16'7.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "11.192970, 77.268650", + "latitude": 11.19297, + "longitude": 77.26865 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 11°11'34.7\"N, 77°16'7.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 11.19297°", + "Step 4: Calculate longitude", + " Longitude: 77.26865°", + "FINAL ANSWER: 11.192970, 77.268650" + ] + }, + { + "task": "format_conversion", + "location_name": "Tsuru", + "source_format": "DMS", + "source_string": "35°32'50.3\"N, 138°54'34.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "35.547310, 138.909590", + "latitude": 35.54731, + "longitude": 138.90959 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 35°32'50.3\"N, 138°54'34.5\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 35.54731°", + "Step 4: Calculate longitude", + " Longitude: 138.90959°", + "FINAL ANSWER: 35.547310, 138.909590" + ] + }, + { + "task": "format_conversion", + "location_name": "Goyerkāta", + "source_format": "decimal_degrees", + "source_string": "26.699840, 89.025650", + "target_format": "DMS", + "ground_truth": { + "target_string": "26°41'59.4\"N, 89°1'32.3\"E", + "latitude": 26.69984, + "longitude": 89.02565 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 26.699840, 89.025650", + " Latitude: 26.69984°", + " Longitude: 89.02565°", + "Step 2: Convert latitude to DMS", + " Degrees = 26", + " Minutes = int((26.699840 - 26) × 60) = 41", + " Seconds = ((26.699840 - 26) × 60 - 41) × 60 = 59.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 89", + " Minutes = 1", + " Seconds = 32.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 26°41'59.4\"N, 89°1'32.3\"E", + "FINAL ANSWER: 26°41'59.4\"N, 89°1'32.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Maintal", + "source_format": "decimal_degrees", + "source_string": "50.150000, 8.833330", + "target_format": "DMS", + "ground_truth": { + "target_string": "50°8'60.0\"N, 8°49'60.0\"E", + "latitude": 50.15, + "longitude": 8.83333 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 50.150000, 8.833330", + " Latitude: 50.15°", + " Longitude: 8.83333°", + "Step 2: Convert latitude to DMS", + " Degrees = 50", + " Minutes = int((50.150000 - 50) × 60) = 8", + " Seconds = ((50.150000 - 50) × 60 - 8) × 60 = 60.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 8", + " Minutes = 49", + " Seconds = 60.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 50°8'60.0\"N, 8°49'60.0\"E", + "FINAL ANSWER: 50°8'60.0\"N, 8°49'60.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "KwaDukuza", + "source_format": "DMS", + "source_string": "29°19'41.4\"S, 31°17'22.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-29.328160, 31.289540", + "latitude": -29.32816, + "longitude": 31.28954 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 29°19'41.4\"S, 31°17'22.3\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -29.32816°", + "Step 4: Calculate longitude", + " Longitude: 31.28954°", + "FINAL ANSWER: -29.328160, 31.289540" + ] + }, + { + "task": "format_conversion", + "location_name": "Fichē", + "source_format": "decimal_degrees", + "source_string": "9.800000, 38.733330", + "target_format": "DMS", + "ground_truth": { + "target_string": "9°48'0.0\"N, 38°43'60.0\"E", + "latitude": 9.8, + "longitude": 38.73333 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 9.800000, 38.733330", + " Latitude: 9.8°", + " Longitude: 38.73333°", + "Step 2: Convert latitude to DMS", + " Degrees = 9", + " Minutes = int((9.800000 - 9) × 60) = 48", + " Seconds = ((9.800000 - 9) × 60 - 48) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 38", + " Minutes = 43", + " Seconds = 60.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 9°48'0.0\"N, 38°43'60.0\"E", + "FINAL ANSWER: 9°48'0.0\"N, 38°43'60.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Sikka", + "source_format": "DMS", + "source_string": "22°25'55.8\"N, 69°50'29.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "22.432180, 69.841580", + "latitude": 22.43218, + "longitude": 69.84158 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 22°25'55.8\"N, 69°50'29.7\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 22.43218°", + "Step 4: Calculate longitude", + " Longitude: 69.84158°", + "FINAL ANSWER: 22.432180, 69.841580" + ] + }, + { + "task": "format_conversion", + "location_name": "Hmaw Bi", + "source_format": "DMS", + "source_string": "16°38'8.1\"N, 97°36'54.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "16.635570, 97.615260", + "latitude": 16.63557, + "longitude": 97.61526 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 16°38'8.1\"N, 97°36'54.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 16.63557°", + "Step 4: Calculate longitude", + " Longitude: 97.61526°", + "FINAL ANSWER: 16.635570, 97.615260" + ] + }, + { + "task": "format_conversion", + "location_name": "Phra Phutthabat", + "source_format": "decimal_degrees", + "source_string": "14.725260, 100.795360", + "target_format": "DMS", + "ground_truth": { + "target_string": "14°43'30.9\"N, 100°47'43.3\"E", + "latitude": 14.72526, + "longitude": 100.79536 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 14.725260, 100.795360", + " Latitude: 14.72526°", + " Longitude: 100.79536°", + "Step 2: Convert latitude to DMS", + " Degrees = 14", + " Minutes = int((14.725260 - 14) × 60) = 43", + " Seconds = ((14.725260 - 14) × 60 - 43) × 60 = 30.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 100", + " Minutes = 47", + " Seconds = 43.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 14°43'30.9\"N, 100°47'43.3\"E", + "FINAL ANSWER: 14°43'30.9\"N, 100°47'43.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Bavly", + "source_format": "DMS", + "source_string": "54°23'51.3\"N, 53°15'4.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "54.397590, 53.251160", + "latitude": 54.39759, + "longitude": 53.25116 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 54°23'51.3\"N, 53°15'4.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 54.39759°", + "Step 4: Calculate longitude", + " Longitude: 53.25116°", + "FINAL ANSWER: 54.397590, 53.251160" + ] + }, + { + "task": "format_conversion", + "location_name": "Tsuruoka", + "source_format": "DMS", + "source_string": "38°43'18.0\"N, 139°49'18.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "38.721670, 139.821670", + "latitude": 38.72167, + "longitude": 139.82167 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 38°43'18.0\"N, 139°49'18.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 38.72167°", + "Step 4: Calculate longitude", + " Longitude: 139.82167°", + "FINAL ANSWER: 38.721670, 139.821670" + ] + }, + { + "task": "format_conversion", + "location_name": "Xánthi", + "source_format": "DMS", + "source_string": "41°8'5.6\"N, 24°53'16.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "41.134880, 24.888000", + "latitude": 41.13488, + "longitude": 24.888 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 41°8'5.6\"N, 24°53'16.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 41.13488°", + "Step 4: Calculate longitude", + " Longitude: 24.888°", + "FINAL ANSWER: 41.134880, 24.888000" + ] + }, + { + "task": "format_conversion", + "location_name": "Sabaneta", + "source_format": "decimal_degrees", + "source_string": "8.752340, -69.933510", + "target_format": "DMS", + "ground_truth": { + "target_string": "8°45'8.4\"N, 69°56'0.6\"W", + "latitude": 8.75234, + "longitude": -69.93351 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 8.752340, -69.933510", + " Latitude: 8.75234°", + " Longitude: -69.93351°", + "Step 2: Convert latitude to DMS", + " Degrees = 8", + " Minutes = int((8.752340 - 8) × 60) = 45", + " Seconds = ((8.752340 - 8) × 60 - 45) × 60 = 8.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 69", + " Minutes = 56", + " Seconds = 0.6", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 8°45'8.4\"N, 69°56'0.6\"W", + "FINAL ANSWER: 8°45'8.4\"N, 69°56'0.6\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Gurmatkāl", + "source_format": "decimal_degrees", + "source_string": "16.867730, 77.390880", + "target_format": "DMS", + "ground_truth": { + "target_string": "16°52'3.8\"N, 77°23'27.2\"E", + "latitude": 16.86773, + "longitude": 77.39088 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 16.867730, 77.390880", + " Latitude: 16.86773°", + " Longitude: 77.39088°", + "Step 2: Convert latitude to DMS", + " Degrees = 16", + " Minutes = int((16.867730 - 16) × 60) = 52", + " Seconds = ((16.867730 - 16) × 60 - 52) × 60 = 3.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 77", + " Minutes = 23", + " Seconds = 27.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 16°52'3.8\"N, 77°23'27.2\"E", + "FINAL ANSWER: 16°52'3.8\"N, 77°23'27.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kirguli", + "source_format": "DMS", + "source_string": "40°26'7.9\"N, 71°46'2.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.435530, 71.767210", + "latitude": 40.43553, + "longitude": 71.76721 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°26'7.9\"N, 71°46'2.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 40.43553°", + "Step 4: Calculate longitude", + " Longitude: 71.76721°", + "FINAL ANSWER: 40.435530, 71.767210" + ] + }, + { + "task": "format_conversion", + "location_name": "Santos Dumont", + "source_format": "decimal_degrees", + "source_string": "-21.456670, -43.552500", + "target_format": "DMS", + "ground_truth": { + "target_string": "21°27'24.0\"S, 43°33'9.0\"W", + "latitude": -21.45667, + "longitude": -43.5525 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -21.456670, -43.552500", + " Latitude: -21.45667°", + " Longitude: -43.5525°", + "Step 2: Convert latitude to DMS", + " Degrees = 21", + " Minutes = int((21.456670 - 21) × 60) = 27", + " Seconds = ((21.456670 - 21) × 60 - 27) × 60 = 24.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 43", + " Minutes = 33", + " Seconds = 9.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 21°27'24.0\"S, 43°33'9.0\"W", + "FINAL ANSWER: 21°27'24.0\"S, 43°33'9.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Azhiyūr", + "source_format": "DMS", + "source_string": "11°41'36.5\"N, 75°33'36.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "11.693480, 75.560130", + "latitude": 11.69348, + "longitude": 75.56013 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 11°41'36.5\"N, 75°33'36.5\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 11.69348°", + "Step 4: Calculate longitude", + " Longitude: 75.56013°", + "FINAL ANSWER: 11.693480, 75.560130" + ] + }, + { + "task": "format_conversion", + "location_name": "San Antonio Oeste", + "source_format": "DMS", + "source_string": "40°43'54.9\"S, 64°56'51.7\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-40.731930, -64.947690", + "latitude": -40.73193, + "longitude": -64.94769 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°43'54.9\"S, 64°56'51.7\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -40.73193°", + "Step 4: Calculate longitude", + " Longitude: -64.94769°", + "FINAL ANSWER: -40.731930, -64.947690" + ] + }, + { + "task": "format_conversion", + "location_name": "Goma", + "source_format": "DMS", + "source_string": "1°40'26.7\"S, 29°13'42.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-1.674090, 29.228450", + "latitude": -1.67409, + "longitude": 29.22845 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 1°40'26.7\"S, 29°13'42.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: -1.67409°", + "Step 4: Calculate longitude", + " Longitude: 29.22845°", + "FINAL ANSWER: -1.674090, 29.228450" + ] + }, + { + "task": "format_conversion", + "location_name": "Zhendong", + "source_format": "DMS", + "source_string": "31°11'6.6\"N, 108°23'43.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "31.185170, 108.395440", + "latitude": 31.18517, + "longitude": 108.39544 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 31°11'6.6\"N, 108°23'43.6\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 31.18517°", + "Step 4: Calculate longitude", + " Longitude: 108.39544°", + "FINAL ANSWER: 31.185170, 108.395440" + ] + }, + { + "task": "format_conversion", + "location_name": "Florence", + "source_format": "DMS", + "source_string": "43°46'45.3\"N, 11°14'46.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "43.779250, 11.246260", + "latitude": 43.77925, + "longitude": 11.24626 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 43°46'45.3\"N, 11°14'46.5\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 43.77925°", + "Step 4: Calculate longitude", + " Longitude: 11.24626°", + "FINAL ANSWER: 43.779250, 11.246260" + ] + }, + { + "task": "format_conversion", + "location_name": "Dingcheng", + "source_format": "DMS", + "source_string": "32°7'38.0\"N, 115°2'22.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "32.127220, 115.039440", + "latitude": 32.12722, + "longitude": 115.03944 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 32°7'38.0\"N, 115°2'22.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 32.12722°", + "Step 4: Calculate longitude", + " Longitude: 115.03944°", + "FINAL ANSWER: 32.127220, 115.039440" + ] + }, + { + "task": "format_conversion", + "location_name": "Financial District", + "source_format": "decimal_degrees", + "source_string": "40.707890, -74.008570", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°42'28.4\"N, 74°0'30.9\"W", + "latitude": 40.70789, + "longitude": -74.00857 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.707890, -74.008570", + " Latitude: 40.70789°", + " Longitude: -74.00857°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.707890 - 40) × 60) = 42", + " Seconds = ((40.707890 - 40) × 60 - 42) × 60 = 28.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 74", + " Minutes = 0", + " Seconds = 30.9", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 40°42'28.4\"N, 74°0'30.9\"W", + "FINAL ANSWER: 40°42'28.4\"N, 74°0'30.9\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Merouana", + "source_format": "decimal_degrees", + "source_string": "35.631060, 5.911860", + "target_format": "DMS", + "ground_truth": { + "target_string": "35°37'51.8\"N, 5°54'42.7\"E", + "latitude": 35.63106, + "longitude": 5.91186 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 35.631060, 5.911860", + " Latitude: 35.63106°", + " Longitude: 5.91186°", + "Step 2: Convert latitude to DMS", + " Degrees = 35", + " Minutes = int((35.631060 - 35) × 60) = 37", + " Seconds = ((35.631060 - 35) × 60 - 37) × 60 = 51.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 5", + " Minutes = 54", + " Seconds = 42.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 35°37'51.8\"N, 5°54'42.7\"E", + "FINAL ANSWER: 35°37'51.8\"N, 5°54'42.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Ehingen", + "source_format": "decimal_degrees", + "source_string": "48.282590, 9.727490", + "target_format": "DMS", + "ground_truth": { + "target_string": "48°16'57.3\"N, 9°43'39.0\"E", + "latitude": 48.28259, + "longitude": 9.72749 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 48.282590, 9.727490", + " Latitude: 48.28259°", + " Longitude: 9.72749°", + "Step 2: Convert latitude to DMS", + " Degrees = 48", + " Minutes = int((48.282590 - 48) × 60) = 16", + " Seconds = ((48.282590 - 48) × 60 - 16) × 60 = 57.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 9", + " Minutes = 43", + " Seconds = 39.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 48°16'57.3\"N, 9°43'39.0\"E", + "FINAL ANSWER: 48°16'57.3\"N, 9°43'39.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Utica", + "source_format": "decimal_degrees", + "source_string": "43.100900, -75.232660", + "target_format": "DMS", + "ground_truth": { + "target_string": "43°6'3.2\"N, 75°13'57.6\"W", + "latitude": 43.1009, + "longitude": -75.23266 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 43.100900, -75.232660", + " Latitude: 43.1009°", + " Longitude: -75.23266°", + "Step 2: Convert latitude to DMS", + " Degrees = 43", + " Minutes = int((43.100900 - 43) × 60) = 6", + " Seconds = ((43.100900 - 43) × 60 - 6) × 60 = 3.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 75", + " Minutes = 13", + " Seconds = 57.6", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 43°6'3.2\"N, 75°13'57.6\"W", + "FINAL ANSWER: 43°6'3.2\"N, 75°13'57.6\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Stamford", + "source_format": "decimal_degrees", + "source_string": "41.053430, -73.538730", + "target_format": "DMS", + "ground_truth": { + "target_string": "41°3'12.3\"N, 73°32'19.4\"W", + "latitude": 41.05343, + "longitude": -73.53873 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 41.053430, -73.538730", + " Latitude: 41.05343°", + " Longitude: -73.53873°", + "Step 2: Convert latitude to DMS", + " Degrees = 41", + " Minutes = int((41.053430 - 41) × 60) = 3", + " Seconds = ((41.053430 - 41) × 60 - 3) × 60 = 12.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 73", + " Minutes = 32", + " Seconds = 19.4", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 41°3'12.3\"N, 73°32'19.4\"W", + "FINAL ANSWER: 41°3'12.3\"N, 73°32'19.4\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Coronel João Sá", + "source_format": "decimal_degrees", + "source_string": "-10.284170, -37.926390", + "target_format": "DMS", + "ground_truth": { + "target_string": "10°17'3.0\"S, 37°55'35.0\"W", + "latitude": -10.28417, + "longitude": -37.92639 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -10.284170, -37.926390", + " Latitude: -10.28417°", + " Longitude: -37.92639°", + "Step 2: Convert latitude to DMS", + " Degrees = 10", + " Minutes = int((10.284170 - 10) × 60) = 17", + " Seconds = ((10.284170 - 10) × 60 - 17) × 60 = 3.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 37", + " Minutes = 55", + " Seconds = 35.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 10°17'3.0\"S, 37°55'35.0\"W", + "FINAL ANSWER: 10°17'3.0\"S, 37°55'35.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Iapala", + "source_format": "DD", + "source_string": "-15.025000, 38.042500", + "target_format": "DMS", + "ground_truth": { + "target_string": "15°1'30.0\"S, 38°2'33.0\"E", + "latitude": -15.025, + "longitude": 38.0425 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: -15.025000, 38.042500", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 15°1'30.0\"S, 38°2'33.0\"E", + "FINAL ANSWER: 15°1'30.0\"S, 38°2'33.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Santo António dos Olivais", + "source_format": "decimal_degrees", + "source_string": "40.218050, -8.405230", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°13'5.0\"N, 8°24'18.8\"W", + "latitude": 40.21805, + "longitude": -8.40523 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.218050, -8.405230", + " Latitude: 40.21805°", + " Longitude: -8.40523°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.218050 - 40) × 60) = 13", + " Seconds = ((40.218050 - 40) × 60 - 13) × 60 = 5.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 8", + " Minutes = 24", + " Seconds = 18.8", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 40°13'5.0\"N, 8°24'18.8\"W", + "FINAL ANSWER: 40°13'5.0\"N, 8°24'18.8\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Conegliano", + "source_format": "DMS", + "source_string": "45°53'17.0\"N, 12°18'7.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "45.888050, 12.302010", + "latitude": 45.88805, + "longitude": 12.30201 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 45°53'17.0\"N, 12°18'7.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 45.88805°", + "Step 4: Calculate longitude", + " Longitude: 12.30201°", + "FINAL ANSWER: 45.888050, 12.302010" + ] + }, + { + "task": "format_conversion", + "location_name": "Capanema", + "source_format": "decimal_degrees", + "source_string": "-1.195830, -47.180830", + "target_format": "DMS", + "ground_truth": { + "target_string": "1°11'45.0\"S, 47°10'51.0\"W", + "latitude": -1.19583, + "longitude": -47.18083 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -1.195830, -47.180830", + " Latitude: -1.19583°", + " Longitude: -47.18083°", + "Step 2: Convert latitude to DMS", + " Degrees = 1", + " Minutes = int((1.195830 - 1) × 60) = 11", + " Seconds = ((1.195830 - 1) × 60 - 11) × 60 = 45.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 47", + " Minutes = 10", + " Seconds = 51.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 1°11'45.0\"S, 47°10'51.0\"W", + "FINAL ANSWER: 1°11'45.0\"S, 47°10'51.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Dhubri", + "source_format": "decimal_degrees", + "source_string": "26.018560, 89.985640", + "target_format": "DMS", + "ground_truth": { + "target_string": "26°1'6.8\"N, 89°59'8.3\"E", + "latitude": 26.01856, + "longitude": 89.98564 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 26.018560, 89.985640", + " Latitude: 26.01856°", + " Longitude: 89.98564°", + "Step 2: Convert latitude to DMS", + " Degrees = 26", + " Minutes = int((26.018560 - 26) × 60) = 1", + " Seconds = ((26.018560 - 26) × 60 - 1) × 60 = 6.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 89", + " Minutes = 59", + " Seconds = 8.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 26°1'6.8\"N, 89°59'8.3\"E", + "FINAL ANSWER: 26°1'6.8\"N, 89°59'8.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "East Barnet", + "source_format": "DMS", + "source_string": "51°38'48.3\"N, 0°9'39.7\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "51.646740, -0.161030", + "latitude": 51.64674, + "longitude": -0.16103 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 51°38'48.3\"N, 0°9'39.7\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 51.64674°", + "Step 4: Calculate longitude", + " Longitude: -0.16103°", + "FINAL ANSWER: 51.646740, -0.161030" + ] + }, + { + "task": "format_conversion", + "location_name": "Kanazawa", + "source_format": "decimal_degrees", + "source_string": "36.600000, 136.616670", + "target_format": "DMS", + "ground_truth": { + "target_string": "36°36'0.0\"N, 136°37'0.0\"E", + "latitude": 36.6, + "longitude": 136.61667 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 36.600000, 136.616670", + " Latitude: 36.6°", + " Longitude: 136.61667°", + "Step 2: Convert latitude to DMS", + " Degrees = 36", + " Minutes = int((36.600000 - 36) × 60) = 36", + " Seconds = ((36.600000 - 36) × 60 - 36) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 136", + " Minutes = 37", + " Seconds = 0.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 36°36'0.0\"N, 136°37'0.0\"E", + "FINAL ANSWER: 36°36'0.0\"N, 136°37'0.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Mukeriān", + "source_format": "DMS", + "source_string": "31°57'14.2\"N, 75°37'1.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "31.953940, 75.617160", + "latitude": 31.95394, + "longitude": 75.61716 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 31°57'14.2\"N, 75°37'1.8\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 31.95394°", + "Step 4: Calculate longitude", + " Longitude: 75.61716°", + "FINAL ANSWER: 31.953940, 75.617160" + ] + }, + { + "task": "format_conversion", + "location_name": "Wugang", + "source_format": "DMS", + "source_string": "26°43'40.4\"N, 110°37'55.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "26.727900, 110.631980", + "latitude": 26.7279, + "longitude": 110.63198 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 26°43'40.4\"N, 110°37'55.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 26.7279°", + "Step 4: Calculate longitude", + " Longitude: 110.63198°", + "FINAL ANSWER: 26.727900, 110.631980" + ] + }, + { + "task": "format_conversion", + "location_name": "Dīdwāna", + "source_format": "DMS", + "source_string": "27°24'3.5\"N, 74°34'31.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "27.400960, 74.575370", + "latitude": 27.40096, + "longitude": 74.57537 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 27°24'3.5\"N, 74°34'31.3\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 27.40096°", + "Step 4: Calculate longitude", + " Longitude: 74.57537°", + "FINAL ANSWER: 27.400960, 74.575370" + ] + }, + { + "task": "format_conversion", + "location_name": "Jinlong", + "source_format": "decimal_degrees", + "source_string": "29.513600, 106.060620", + "target_format": "DMS", + "ground_truth": { + "target_string": "29°30'49.0\"N, 106°3'38.2\"E", + "latitude": 29.5136, + "longitude": 106.06062 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 29.513600, 106.060620", + " Latitude: 29.5136°", + " Longitude: 106.06062°", + "Step 2: Convert latitude to DMS", + " Degrees = 29", + " Minutes = int((29.513600 - 29) × 60) = 30", + " Seconds = ((29.513600 - 29) × 60 - 30) × 60 = 49.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 106", + " Minutes = 3", + " Seconds = 38.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 29°30'49.0\"N, 106°3'38.2\"E", + "FINAL ANSWER: 29°30'49.0\"N, 106°3'38.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Saurimo", + "source_format": "decimal_degrees", + "source_string": "-9.660780, 20.391550", + "target_format": "DMS", + "ground_truth": { + "target_string": "9°39'38.8\"S, 20°23'29.6\"E", + "latitude": -9.66078, + "longitude": 20.39155 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -9.660780, 20.391550", + " Latitude: -9.66078°", + " Longitude: 20.39155°", + "Step 2: Convert latitude to DMS", + " Degrees = 9", + " Minutes = int((9.660780 - 9) × 60) = 39", + " Seconds = ((9.660780 - 9) × 60 - 39) × 60 = 38.8", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 20", + " Minutes = 23", + " Seconds = 29.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 9°39'38.8\"S, 20°23'29.6\"E", + "FINAL ANSWER: 9°39'38.8\"S, 20°23'29.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Dera Ismail Khan", + "source_format": "decimal_degrees", + "source_string": "31.831290, 70.901700", + "target_format": "DMS", + "ground_truth": { + "target_string": "31°49'52.6\"N, 70°54'6.1\"E", + "latitude": 31.83129, + "longitude": 70.9017 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 31.831290, 70.901700", + " Latitude: 31.83129°", + " Longitude: 70.9017°", + "Step 2: Convert latitude to DMS", + " Degrees = 31", + " Minutes = int((31.831290 - 31) × 60) = 49", + " Seconds = ((31.831290 - 31) × 60 - 49) × 60 = 52.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 70", + " Minutes = 54", + " Seconds = 6.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 31°49'52.6\"N, 70°54'6.1\"E", + "FINAL ANSWER: 31°49'52.6\"N, 70°54'6.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Trofa", + "source_format": "decimal_degrees", + "source_string": "41.337290, -8.559600", + "target_format": "DMS", + "ground_truth": { + "target_string": "41°20'14.2\"N, 8°33'34.6\"W", + "latitude": 41.33729, + "longitude": -8.5596 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 41.337290, -8.559600", + " Latitude: 41.33729°", + " Longitude: -8.5596°", + "Step 2: Convert latitude to DMS", + " Degrees = 41", + " Minutes = int((41.337290 - 41) × 60) = 20", + " Seconds = ((41.337290 - 41) × 60 - 20) × 60 = 14.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 8", + " Minutes = 33", + " Seconds = 34.6", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 41°20'14.2\"N, 8°33'34.6\"W", + "FINAL ANSWER: 41°20'14.2\"N, 8°33'34.6\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Anthem", + "source_format": "DMS", + "source_string": "33°52'2.1\"N, 112°8'48.6\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "33.867260, -112.146820", + "latitude": 33.86726, + "longitude": -112.14682 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 33°52'2.1\"N, 112°8'48.6\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 33.86726°", + "Step 4: Calculate longitude", + " Longitude: -112.14682°", + "FINAL ANSWER: 33.867260, -112.146820" + ] + }, + { + "task": "format_conversion", + "location_name": "Dongtai", + "source_format": "decimal_degrees", + "source_string": "32.852310, 120.309470", + "target_format": "DMS", + "ground_truth": { + "target_string": "32°51'8.3\"N, 120°18'34.1\"E", + "latitude": 32.85231, + "longitude": 120.30947 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 32.852310, 120.309470", + " Latitude: 32.85231°", + " Longitude: 120.30947°", + "Step 2: Convert latitude to DMS", + " Degrees = 32", + " Minutes = int((32.852310 - 32) × 60) = 51", + " Seconds = ((32.852310 - 32) × 60 - 51) × 60 = 8.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 120", + " Minutes = 18", + " Seconds = 34.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 32°51'8.3\"N, 120°18'34.1\"E", + "FINAL ANSWER: 32°51'8.3\"N, 120°18'34.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Naucalpan de Juárez", + "source_format": "decimal_degrees", + "source_string": "19.478510, -99.239630", + "target_format": "DMS", + "ground_truth": { + "target_string": "19°28'42.6\"N, 99°14'22.7\"W", + "latitude": 19.47851, + "longitude": -99.23963 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 19.478510, -99.239630", + " Latitude: 19.47851°", + " Longitude: -99.23963°", + "Step 2: Convert latitude to DMS", + " Degrees = 19", + " Minutes = int((19.478510 - 19) × 60) = 28", + " Seconds = ((19.478510 - 19) × 60 - 28) × 60 = 42.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 99", + " Minutes = 14", + " Seconds = 22.7", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 19°28'42.6\"N, 99°14'22.7\"W", + "FINAL ANSWER: 19°28'42.6\"N, 99°14'22.7\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Lancaster", + "source_format": "decimal_degrees", + "source_string": "54.046490, -2.799880", + "target_format": "DMS", + "ground_truth": { + "target_string": "54°2'47.4\"N, 2°47'59.6\"W", + "latitude": 54.04649, + "longitude": -2.79988 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 54.046490, -2.799880", + " Latitude: 54.04649°", + " Longitude: -2.79988°", + "Step 2: Convert latitude to DMS", + " Degrees = 54", + " Minutes = int((54.046490 - 54) × 60) = 2", + " Seconds = ((54.046490 - 54) × 60 - 2) × 60 = 47.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 2", + " Minutes = 47", + " Seconds = 59.6", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 54°2'47.4\"N, 2°47'59.6\"W", + "FINAL ANSWER: 54°2'47.4\"N, 2°47'59.6\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Gantang", + "source_format": "decimal_degrees", + "source_string": "26.715560, 109.768890", + "target_format": "DMS", + "ground_truth": { + "target_string": "26°42'56.0\"N, 109°46'8.0\"E", + "latitude": 26.71556, + "longitude": 109.76889 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 26.715560, 109.768890", + " Latitude: 26.71556°", + " Longitude: 109.76889°", + "Step 2: Convert latitude to DMS", + " Degrees = 26", + " Minutes = int((26.715560 - 26) × 60) = 42", + " Seconds = ((26.715560 - 26) × 60 - 42) × 60 = 56.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 109", + " Minutes = 46", + " Seconds = 8.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 26°42'56.0\"N, 109°46'8.0\"E", + "FINAL ANSWER: 26°42'56.0\"N, 109°46'8.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Artesia", + "source_format": "DMS", + "source_string": "33°51'57.1\"N, 118°4'59.2\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "33.865850, -118.083120", + "latitude": 33.86585, + "longitude": -118.08312 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 33°51'57.1\"N, 118°4'59.2\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 33.86585°", + "Step 4: Calculate longitude", + " Longitude: -118.08312°", + "FINAL ANSWER: 33.865850, -118.083120" + ] + }, + { + "task": "format_conversion", + "location_name": "West Warwick", + "source_format": "DMS", + "source_string": "41°41'48.8\"N, 71°31'19.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "41.696890, -71.521940", + "latitude": 41.69689, + "longitude": -71.52194 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 41°41'48.8\"N, 71°31'19.0\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 41.69689°", + "Step 4: Calculate longitude", + " Longitude: -71.52194°", + "FINAL ANSWER: 41.696890, -71.521940" + ] + }, + { + "task": "format_conversion", + "location_name": "Dumai", + "source_format": "decimal_degrees", + "source_string": "1.667110, 101.443160", + "target_format": "DMS", + "ground_truth": { + "target_string": "1°40'1.6\"N, 101°26'35.4\"E", + "latitude": 1.66711, + "longitude": 101.44316 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 1.667110, 101.443160", + " Latitude: 1.66711°", + " Longitude: 101.44316°", + "Step 2: Convert latitude to DMS", + " Degrees = 1", + " Minutes = int((1.667110 - 1) × 60) = 40", + " Seconds = ((1.667110 - 1) × 60 - 40) × 60 = 1.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 101", + " Minutes = 26", + " Seconds = 35.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 1°40'1.6\"N, 101°26'35.4\"E", + "FINAL ANSWER: 1°40'1.6\"N, 101°26'35.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Lugu", + "source_format": "DMS", + "source_string": "23°44'47.0\"N, 120°45'9.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "23.746390, 120.752500", + "latitude": 23.74639, + "longitude": 120.7525 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 23°44'47.0\"N, 120°45'9.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 23.74639°", + "Step 4: Calculate longitude", + " Longitude: 120.7525°", + "FINAL ANSWER: 23.746390, 120.752500" + ] + }, + { + "task": "format_conversion", + "location_name": "Jablonec nad Nisou", + "source_format": "DMS", + "source_string": "50°43'27.5\"N, 15°10'15.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "50.724310, 15.171080", + "latitude": 50.72431, + "longitude": 15.17108 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 50°43'27.5\"N, 15°10'15.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 50.72431°", + "Step 4: Calculate longitude", + " Longitude: 15.17108°", + "FINAL ANSWER: 50.724310, 15.171080" + ] + }, + { + "task": "format_conversion", + "location_name": "Pālitāna", + "source_format": "decimal_degrees", + "source_string": "21.525190, 71.823090", + "target_format": "DMS", + "ground_truth": { + "target_string": "21°31'30.7\"N, 71°49'23.1\"E", + "latitude": 21.52519, + "longitude": 71.82309 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 21.525190, 71.823090", + " Latitude: 21.52519°", + " Longitude: 71.82309°", + "Step 2: Convert latitude to DMS", + " Degrees = 21", + " Minutes = int((21.525190 - 21) × 60) = 31", + " Seconds = ((21.525190 - 21) × 60 - 31) × 60 = 30.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 71", + " Minutes = 49", + " Seconds = 23.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 21°31'30.7\"N, 71°49'23.1\"E", + "FINAL ANSWER: 21°31'30.7\"N, 71°49'23.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Jalajala", + "source_format": "decimal_degrees", + "source_string": "14.353000, 121.322500", + "target_format": "DMS", + "ground_truth": { + "target_string": "14°21'10.8\"N, 121°19'21.0\"E", + "latitude": 14.353, + "longitude": 121.3225 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 14.353000, 121.322500", + " Latitude: 14.353°", + " Longitude: 121.3225°", + "Step 2: Convert latitude to DMS", + " Degrees = 14", + " Minutes = int((14.353000 - 14) × 60) = 21", + " Seconds = ((14.353000 - 14) × 60 - 21) × 60 = 10.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 121", + " Minutes = 19", + " Seconds = 21.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 14°21'10.8\"N, 121°19'21.0\"E", + "FINAL ANSWER: 14°21'10.8\"N, 121°19'21.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Ryazhsk", + "source_format": "decimal_degrees", + "source_string": "53.705880, 40.080450", + "target_format": "DMS", + "ground_truth": { + "target_string": "53°42'21.2\"N, 40°4'49.6\"E", + "latitude": 53.70588, + "longitude": 40.08045 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 53.705880, 40.080450", + " Latitude: 53.70588°", + " Longitude: 40.08045°", + "Step 2: Convert latitude to DMS", + " Degrees = 53", + " Minutes = int((53.705880 - 53) × 60) = 42", + " Seconds = ((53.705880 - 53) × 60 - 42) × 60 = 21.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 40", + " Minutes = 4", + " Seconds = 49.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 53°42'21.2\"N, 40°4'49.6\"E", + "FINAL ANSWER: 53°42'21.2\"N, 40°4'49.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Imouzzer Kandar", + "source_format": "DMS", + "source_string": "33°43'43.4\"N, 5°0'39.3\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "33.728710, -5.010920", + "latitude": 33.72871, + "longitude": -5.01092 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 33°43'43.4\"N, 5°0'39.3\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 33.72871°", + "Step 4: Calculate longitude", + " Longitude: -5.01092°", + "FINAL ANSWER: 33.728710, -5.010920" + ] + }, + { + "task": "format_conversion", + "location_name": "Kismayo", + "source_format": "decimal_degrees", + "source_string": "-0.358170, 42.545360", + "target_format": "DMS", + "ground_truth": { + "target_string": "0°21'29.4\"S, 42°32'43.3\"E", + "latitude": -0.35817, + "longitude": 42.54536 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -0.358170, 42.545360", + " Latitude: -0.35817°", + " Longitude: 42.54536°", + "Step 2: Convert latitude to DMS", + " Degrees = 0", + " Minutes = int((0.358170 - 0) × 60) = 21", + " Seconds = ((0.358170 - 0) × 60 - 21) × 60 = 29.4", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 42", + " Minutes = 32", + " Seconds = 43.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 0°21'29.4\"S, 42°32'43.3\"E", + "FINAL ANSWER: 0°21'29.4\"S, 42°32'43.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Daxing", + "source_format": "DD", + "source_string": "29.556050, 106.160020", + "target_format": "DMS", + "ground_truth": { + "target_string": "29°33'21.8\"N, 106°9'36.1\"E", + "latitude": 29.55605, + "longitude": 106.16002 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: 29.556050, 106.160020", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 29°33'21.8\"N, 106°9'36.1\"E", + "FINAL ANSWER: 29°33'21.8\"N, 106°9'36.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Bellampalli", + "source_format": "decimal_degrees", + "source_string": "19.055770, 79.493000", + "target_format": "DMS", + "ground_truth": { + "target_string": "19°3'20.8\"N, 79°29'34.8\"E", + "latitude": 19.05577, + "longitude": 79.493 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 19.055770, 79.493000", + " Latitude: 19.05577°", + " Longitude: 79.493°", + "Step 2: Convert latitude to DMS", + " Degrees = 19", + " Minutes = int((19.055770 - 19) × 60) = 3", + " Seconds = ((19.055770 - 19) × 60 - 3) × 60 = 20.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 79", + " Minutes = 29", + " Seconds = 34.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 19°3'20.8\"N, 79°29'34.8\"E", + "FINAL ANSWER: 19°3'20.8\"N, 79°29'34.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Saransk", + "source_format": "DMS", + "source_string": "54°11'5.5\"N, 45°10'18.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "54.184850, 45.171660", + "latitude": 54.18485, + "longitude": 45.17166 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 54°11'5.5\"N, 45°10'18.0\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 54.18485°", + "Step 4: Calculate longitude", + " Longitude: 45.17166°", + "FINAL ANSWER: 54.184850, 45.171660" + ] + }, + { + "task": "format_conversion", + "location_name": "Ban Aranyik", + "source_format": "DMS", + "source_string": "16°49'31.9\"N, 100°17'5.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "16.825530, 100.284860", + "latitude": 16.82553, + "longitude": 100.28486 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 16°49'31.9\"N, 100°17'5.5\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 16.82553°", + "Step 4: Calculate longitude", + " Longitude: 100.28486°", + "FINAL ANSWER: 16.825530, 100.284860" + ] + }, + { + "task": "format_conversion", + "location_name": "Mountain Brook", + "source_format": "decimal_degrees", + "source_string": "33.500940, -86.752210", + "target_format": "DMS", + "ground_truth": { + "target_string": "33°30'3.4\"N, 86°45'8.0\"W", + "latitude": 33.50094, + "longitude": -86.75221 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 33.500940, -86.752210", + " Latitude: 33.50094°", + " Longitude: -86.75221°", + "Step 2: Convert latitude to DMS", + " Degrees = 33", + " Minutes = int((33.500940 - 33) × 60) = 30", + " Seconds = ((33.500940 - 33) × 60 - 30) × 60 = 3.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 86", + " Minutes = 45", + " Seconds = 8.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 33°30'3.4\"N, 86°45'8.0\"W", + "FINAL ANSWER: 33°30'3.4\"N, 86°45'8.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Chengala", + "source_format": "DMS", + "source_string": "12°29'54.2\"N, 75°3'1.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "12.498390, 75.050300", + "latitude": 12.49839, + "longitude": 75.0503 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 12°29'54.2\"N, 75°3'1.1\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 12.49839°", + "Step 4: Calculate longitude", + " Longitude: 75.0503°", + "FINAL ANSWER: 12.498390, 75.050300" + ] + }, + { + "task": "format_conversion", + "location_name": "Denver", + "source_format": "decimal_degrees", + "source_string": "39.739150, -104.984700", + "target_format": "DMS", + "ground_truth": { + "target_string": "39°44'20.9\"N, 104°59'4.9\"W", + "latitude": 39.73915, + "longitude": -104.9847 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 39.739150, -104.984700", + " Latitude: 39.73915°", + " Longitude: -104.9847°", + "Step 2: Convert latitude to DMS", + " Degrees = 39", + " Minutes = int((39.739150 - 39) × 60) = 44", + " Seconds = ((39.739150 - 39) × 60 - 44) × 60 = 20.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 104", + " Minutes = 59", + " Seconds = 4.9", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 39°44'20.9\"N, 104°59'4.9\"W", + "FINAL ANSWER: 39°44'20.9\"N, 104°59'4.9\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Rakovník", + "source_format": "DMS", + "source_string": "50°6'13.3\"N, 13°44'0.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "50.103700, 13.733400", + "latitude": 50.1037, + "longitude": 13.7334 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 50°6'13.3\"N, 13°44'0.2\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 50.1037°", + "Step 4: Calculate longitude", + " Longitude: 13.7334°", + "FINAL ANSWER: 50.103700, 13.733400" + ] + }, + { + "task": "format_conversion", + "location_name": "Baisheng", + "source_format": "DMS", + "source_string": "29°48'48.6\"N, 107°23'33.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "29.813510, 107.392610", + "latitude": 29.81351, + "longitude": 107.39261 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 29°48'48.6\"N, 107°23'33.4\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 29.81351°", + "Step 4: Calculate longitude", + " Longitude: 107.39261°", + "FINAL ANSWER: 29.813510, 107.392610" + ] + }, + { + "task": "format_conversion", + "location_name": "Taman Seremban Jaya", + "source_format": "decimal_degrees", + "source_string": "2.683100, 101.970000", + "target_format": "DMS", + "ground_truth": { + "target_string": "2°40'59.2\"N, 101°58'12.0\"E", + "latitude": 2.6831, + "longitude": 101.97 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 2.683100, 101.970000", + " Latitude: 2.6831°", + " Longitude: 101.97°", + "Step 2: Convert latitude to DMS", + " Degrees = 2", + " Minutes = int((2.683100 - 2) × 60) = 40", + " Seconds = ((2.683100 - 2) × 60 - 40) × 60 = 59.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 101", + " Minutes = 58", + " Seconds = 12.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 2°40'59.2\"N, 101°58'12.0\"E", + "FINAL ANSWER: 2°40'59.2\"N, 101°58'12.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Sanger", + "source_format": "DMS", + "source_string": "36°42'28.8\"N, 119°33'21.5\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "36.708010, -119.555970", + "latitude": 36.70801, + "longitude": -119.55597 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 36°42'28.8\"N, 119°33'21.5\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 36.70801°", + "Step 4: Calculate longitude", + " Longitude: -119.55597°", + "FINAL ANSWER: 36.708010, -119.555970" + ] + }, + { + "task": "format_conversion", + "location_name": "Lawrenceville", + "source_format": "decimal_degrees", + "source_string": "33.956210, -83.987960", + "target_format": "DMS", + "ground_truth": { + "target_string": "33°57'22.4\"N, 83°59'16.7\"W", + "latitude": 33.95621, + "longitude": -83.98796 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 33.956210, -83.987960", + " Latitude: 33.95621°", + " Longitude: -83.98796°", + "Step 2: Convert latitude to DMS", + " Degrees = 33", + " Minutes = int((33.956210 - 33) × 60) = 57", + " Seconds = ((33.956210 - 33) × 60 - 57) × 60 = 22.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 83", + " Minutes = 59", + " Seconds = 16.7", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 33°57'22.4\"N, 83°59'16.7\"W", + "FINAL ANSWER: 33°57'22.4\"N, 83°59'16.7\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Hagen", + "source_format": "decimal_degrees", + "source_string": "51.360810, 7.471680", + "target_format": "DMS", + "ground_truth": { + "target_string": "51°21'38.9\"N, 7°28'18.0\"E", + "latitude": 51.36081, + "longitude": 7.47168 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 51.360810, 7.471680", + " Latitude: 51.36081°", + " Longitude: 7.47168°", + "Step 2: Convert latitude to DMS", + " Degrees = 51", + " Minutes = int((51.360810 - 51) × 60) = 21", + " Seconds = ((51.360810 - 51) × 60 - 21) × 60 = 38.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 7", + " Minutes = 28", + " Seconds = 18.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 51°21'38.9\"N, 7°28'18.0\"E", + "FINAL ANSWER: 51°21'38.9\"N, 7°28'18.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Novogrudok", + "source_format": "decimal_degrees", + "source_string": "53.594200, 25.819100", + "target_format": "DMS", + "ground_truth": { + "target_string": "53°35'39.1\"N, 25°49'8.8\"E", + "latitude": 53.5942, + "longitude": 25.8191 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 53.594200, 25.819100", + " Latitude: 53.5942°", + " Longitude: 25.8191°", + "Step 2: Convert latitude to DMS", + " Degrees = 53", + " Minutes = int((53.594200 - 53) × 60) = 35", + " Seconds = ((53.594200 - 53) × 60 - 35) × 60 = 39.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 25", + " Minutes = 49", + " Seconds = 8.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 53°35'39.1\"N, 25°49'8.8\"E", + "FINAL ANSWER: 53°35'39.1\"N, 25°49'8.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Newark", + "source_format": "DMS", + "source_string": "39°41'1.4\"N, 75°44'58.8\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "39.683720, -75.749660", + "latitude": 39.68372, + "longitude": -75.74966 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 39°41'1.4\"N, 75°44'58.8\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 39.68372°", + "Step 4: Calculate longitude", + " Longitude: -75.74966°", + "FINAL ANSWER: 39.683720, -75.749660" + ] + }, + { + "task": "format_conversion", + "location_name": "Gloucester", + "source_format": "DMS", + "source_string": "51°51'56.4\"N, 2°14'35.2\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "51.865680, -2.243100", + "latitude": 51.86568, + "longitude": -2.2431 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 51°51'56.4\"N, 2°14'35.2\"W", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 51.86568°", + "Step 4: Calculate longitude", + " Longitude: -2.2431°", + "FINAL ANSWER: 51.865680, -2.243100" + ] + }, + { + "task": "format_conversion", + "location_name": "Bāsudebpur", + "source_format": "decimal_degrees", + "source_string": "21.119740, 86.728960", + "target_format": "DMS", + "ground_truth": { + "target_string": "21°7'11.1\"N, 86°43'44.3\"E", + "latitude": 21.11974, + "longitude": 86.72896 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 21.119740, 86.728960", + " Latitude: 21.11974°", + " Longitude: 86.72896°", + "Step 2: Convert latitude to DMS", + " Degrees = 21", + " Minutes = int((21.119740 - 21) × 60) = 7", + " Seconds = ((21.119740 - 21) × 60 - 7) × 60 = 11.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 86", + " Minutes = 43", + " Seconds = 44.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 21°7'11.1\"N, 86°43'44.3\"E", + "FINAL ANSWER: 21°7'11.1\"N, 86°43'44.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Mobara", + "source_format": "DMS", + "source_string": "35°25'33.0\"N, 140°17'45.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "35.425830, 140.296080", + "latitude": 35.42583, + "longitude": 140.29608 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 35°25'33.0\"N, 140°17'45.9\"E", + "Step 2: Convert to decimal degrees using formula", + " decimal = degrees + minutes/60 + seconds/3600", + " Apply negative sign for S (latitude) or W (longitude)", + "Step 3: Calculate latitude", + " Latitude: 35.42583°", + "Step 4: Calculate longitude", + " Longitude: 140.29608°", + "FINAL ANSWER: 35.425830, 140.296080" + ] + } +] \ No newline at end of file