diff --git "a/data/track_pure_gps/splits/task1_format_conversion_test.json" "b/data/track_pure_gps/splits/task1_format_conversion_test.json" new file mode 100644--- /dev/null +++ "b/data/track_pure_gps/splits/task1_format_conversion_test.json" @@ -0,0 +1,27881 @@ +[ + { + "task": "format_conversion", + "location_name": "Hudiyuzi", + "source_format": "DMS", + "source_string": "43°55'31.8\"N, 81°24'43.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "43.925510, 81.412120", + "latitude": 43.92551, + "longitude": 81.41212 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 43°55'31.8\"N, 81°24'43.6\"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: 43.92551°", + "Step 4: Calculate longitude", + " Longitude: 81.41212°", + "FINAL ANSWER: 43.925510, 81.412120" + ] + }, + { + "task": "format_conversion", + "location_name": "Tiko", + "source_format": "DMS", + "source_string": "4°4'30.0\"N, 9°21'36.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "4.075000, 9.360050", + "latitude": 4.075, + "longitude": 9.36005 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 4°4'30.0\"N, 9°21'36.2\"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: 4.075°", + "Step 4: Calculate longitude", + " Longitude: 9.36005°", + "FINAL ANSWER: 4.075000, 9.360050" + ] + }, + { + "task": "format_conversion", + "location_name": "Maasin", + "source_format": "decimal_degrees", + "source_string": "10.132720, 124.840820", + "target_format": "DMS", + "ground_truth": { + "target_string": "10°7'57.8\"N, 124°50'27.0\"E", + "latitude": 10.13272, + "longitude": 124.84082 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 10.132720, 124.840820", + " Latitude: 10.13272°", + " Longitude: 124.84082°", + "Step 2: Convert latitude to DMS", + " Degrees = 10", + " Minutes = int((10.132720 - 10) × 60) = 7", + " Seconds = ((10.132720 - 10) × 60 - 7) × 60 = 57.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 124", + " Minutes = 50", + " Seconds = 27.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 10°7'57.8\"N, 124°50'27.0\"E", + "FINAL ANSWER: 10°7'57.8\"N, 124°50'27.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Aquidabã", + "source_format": "decimal_degrees", + "source_string": "-10.281390, -37.018610", + "target_format": "DMS", + "ground_truth": { + "target_string": "10°16'53.0\"S, 37°1'7.0\"W", + "latitude": -10.28139, + "longitude": -37.01861 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -10.281390, -37.018610", + " Latitude: -10.28139°", + " Longitude: -37.01861°", + "Step 2: Convert latitude to DMS", + " Degrees = 10", + " Minutes = int((10.281390 - 10) × 60) = 16", + " Seconds = ((10.281390 - 10) × 60 - 16) × 60 = 53.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 37", + " Minutes = 1", + " Seconds = 7.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 10°16'53.0\"S, 37°1'7.0\"W", + "FINAL ANSWER: 10°16'53.0\"S, 37°1'7.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Tupanciretã", + "source_format": "DMS", + "source_string": "29°4'50.0\"S, 53°50'9.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-29.080560, -53.835830", + "latitude": -29.08056, + "longitude": -53.83583 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 29°4'50.0\"S, 53°50'9.0\"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: -29.08056°", + "Step 4: Calculate longitude", + " Longitude: -53.83583°", + "FINAL ANSWER: -29.080560, -53.835830" + ] + }, + { + "task": "format_conversion", + "location_name": "Babīlē", + "source_format": "decimal_degrees", + "source_string": "9.225560, 42.332220", + "target_format": "DMS", + "ground_truth": { + "target_string": "9°13'32.0\"N, 42°19'56.0\"E", + "latitude": 9.22556, + "longitude": 42.33222 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 9.225560, 42.332220", + " Latitude: 9.22556°", + " Longitude: 42.33222°", + "Step 2: Convert latitude to DMS", + " Degrees = 9", + " Minutes = int((9.225560 - 9) × 60) = 13", + " Seconds = ((9.225560 - 9) × 60 - 13) × 60 = 32.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 42", + " Minutes = 19", + " Seconds = 56.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 9°13'32.0\"N, 42°19'56.0\"E", + "FINAL ANSWER: 9°13'32.0\"N, 42°19'56.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Minturno", + "source_format": "DMS", + "source_string": "41°15'46.6\"N, 13°44'45.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "41.262940, 13.745830", + "latitude": 41.26294, + "longitude": 13.74583 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 41°15'46.6\"N, 13°44'45.0\"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: 41.26294°", + "Step 4: Calculate longitude", + " Longitude: 13.74583°", + "FINAL ANSWER: 41.262940, 13.745830" + ] + }, + { + "task": "format_conversion", + "location_name": "Doilungdêqên", + "source_format": "decimal_degrees", + "source_string": "29.655050, 90.991770", + "target_format": "DMS", + "ground_truth": { + "target_string": "29°39'18.2\"N, 90°59'30.4\"E", + "latitude": 29.65505, + "longitude": 90.99177 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 29.655050, 90.991770", + " Latitude: 29.65505°", + " Longitude: 90.99177°", + "Step 2: Convert latitude to DMS", + " Degrees = 29", + " Minutes = int((29.655050 - 29) × 60) = 39", + " Seconds = ((29.655050 - 29) × 60 - 39) × 60 = 18.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 90", + " Minutes = 59", + " Seconds = 30.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 29°39'18.2\"N, 90°59'30.4\"E", + "FINAL ANSWER: 29°39'18.2\"N, 90°59'30.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kolding", + "source_format": "decimal_degrees", + "source_string": "55.490400, 9.472160", + "target_format": "DMS", + "ground_truth": { + "target_string": "55°29'25.4\"N, 9°28'19.8\"E", + "latitude": 55.4904, + "longitude": 9.47216 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 55.490400, 9.472160", + " Latitude: 55.4904°", + " Longitude: 9.47216°", + "Step 2: Convert latitude to DMS", + " Degrees = 55", + " Minutes = int((55.490400 - 55) × 60) = 29", + " Seconds = ((55.490400 - 55) × 60 - 29) × 60 = 25.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 9", + " Minutes = 28", + " Seconds = 19.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 55°29'25.4\"N, 9°28'19.8\"E", + "FINAL ANSWER: 55°29'25.4\"N, 9°28'19.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Killarney", + "source_format": "DMS", + "source_string": "49°13'33.4\"N, 123°2'34.2\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "49.225940, -123.042820", + "latitude": 49.22594, + "longitude": -123.04282 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 49°13'33.4\"N, 123°2'34.2\"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: 49.22594°", + "Step 4: Calculate longitude", + " Longitude: -123.04282°", + "FINAL ANSWER: 49.225940, -123.042820" + ] + }, + { + "task": "format_conversion", + "location_name": "Bhuban", + "source_format": "decimal_degrees", + "source_string": "20.881970, 85.833340", + "target_format": "DMS", + "ground_truth": { + "target_string": "20°52'55.1\"N, 85°50'0.0\"E", + "latitude": 20.88197, + "longitude": 85.83334 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 20.881970, 85.833340", + " Latitude: 20.88197°", + " Longitude: 85.83334°", + "Step 2: Convert latitude to DMS", + " Degrees = 20", + " Minutes = int((20.881970 - 20) × 60) = 52", + " Seconds = ((20.881970 - 20) × 60 - 52) × 60 = 55.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 85", + " Minutes = 50", + " Seconds = 0.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 20°52'55.1\"N, 85°50'0.0\"E", + "FINAL ANSWER: 20°52'55.1\"N, 85°50'0.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Wasco", + "source_format": "DMS", + "source_string": "35°35'38.8\"N, 119°20'27.4\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "35.594120, -119.340950", + "latitude": 35.59412, + "longitude": -119.34095 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 35°35'38.8\"N, 119°20'27.4\"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: 35.59412°", + "Step 4: Calculate longitude", + " Longitude: -119.34095°", + "FINAL ANSWER: 35.594120, -119.340950" + ] + }, + { + "task": "format_conversion", + "location_name": "Rui’an", + "source_format": "decimal_degrees", + "source_string": "27.776050, 120.658590", + "target_format": "DMS", + "ground_truth": { + "target_string": "27°46'33.8\"N, 120°39'30.9\"E", + "latitude": 27.77605, + "longitude": 120.65859 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 27.776050, 120.658590", + " Latitude: 27.77605°", + " Longitude: 120.65859°", + "Step 2: Convert latitude to DMS", + " Degrees = 27", + " Minutes = int((27.776050 - 27) × 60) = 46", + " Seconds = ((27.776050 - 27) × 60 - 46) × 60 = 33.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 120", + " Minutes = 39", + " Seconds = 30.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 27°46'33.8\"N, 120°39'30.9\"E", + "FINAL ANSWER: 27°46'33.8\"N, 120°39'30.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Vigia", + "source_format": "decimal_degrees", + "source_string": "-0.858330, -48.141670", + "target_format": "DMS", + "ground_truth": { + "target_string": "0°51'30.0\"S, 48°8'30.0\"W", + "latitude": -0.85833, + "longitude": -48.14167 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -0.858330, -48.141670", + " Latitude: -0.85833°", + " Longitude: -48.14167°", + "Step 2: Convert latitude to DMS", + " Degrees = 0", + " Minutes = int((0.858330 - 0) × 60) = 51", + " Seconds = ((0.858330 - 0) × 60 - 51) × 60 = 30.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 48", + " Minutes = 8", + " Seconds = 30.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 0°51'30.0\"S, 48°8'30.0\"W", + "FINAL ANSWER: 0°51'30.0\"S, 48°8'30.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Tamalous", + "source_format": "DMS", + "source_string": "36°50'15.5\"N, 6°38'24.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "36.837630, 6.640180", + "latitude": 36.83763, + "longitude": 6.64018 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 36°50'15.5\"N, 6°38'24.6\"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: 36.83763°", + "Step 4: Calculate longitude", + " Longitude: 6.64018°", + "FINAL ANSWER: 36.837630, 6.640180" + ] + }, + { + "task": "format_conversion", + "location_name": "Ilaiyankudi", + "source_format": "decimal_degrees", + "source_string": "9.625120, 78.624340", + "target_format": "DMS", + "ground_truth": { + "target_string": "9°37'30.4\"N, 78°37'27.6\"E", + "latitude": 9.62512, + "longitude": 78.62434 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 9.625120, 78.624340", + " Latitude: 9.62512°", + " Longitude: 78.62434°", + "Step 2: Convert latitude to DMS", + " Degrees = 9", + " Minutes = int((9.625120 - 9) × 60) = 37", + " Seconds = ((9.625120 - 9) × 60 - 37) × 60 = 30.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 78", + " Minutes = 37", + " Seconds = 27.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 9°37'30.4\"N, 78°37'27.6\"E", + "FINAL ANSWER: 9°37'30.4\"N, 78°37'27.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Koboko", + "source_format": "DMS", + "source_string": "3°24'49.1\"N, 30°57'35.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "3.413640, 30.959940", + "latitude": 3.41364, + "longitude": 30.95994 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 3°24'49.1\"N, 30°57'35.8\"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: 3.41364°", + "Step 4: Calculate longitude", + " Longitude: 30.95994°", + "FINAL ANSWER: 3.413640, 30.959940" + ] + }, + { + "task": "format_conversion", + "location_name": "Catolé do Rocha", + "source_format": "decimal_degrees", + "source_string": "-6.343890, -37.746670", + "target_format": "DMS", + "ground_truth": { + "target_string": "6°20'38.0\"S, 37°44'48.0\"W", + "latitude": -6.34389, + "longitude": -37.74667 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -6.343890, -37.746670", + " Latitude: -6.34389°", + " Longitude: -37.74667°", + "Step 2: Convert latitude to DMS", + " Degrees = 6", + " Minutes = int((6.343890 - 6) × 60) = 20", + " Seconds = ((6.343890 - 6) × 60 - 20) × 60 = 38.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 37", + " Minutes = 44", + " Seconds = 48.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 6°20'38.0\"S, 37°44'48.0\"W", + "FINAL ANSWER: 6°20'38.0\"S, 37°44'48.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Gilly", + "source_format": "decimal_degrees", + "source_string": "50.424490, 4.478900", + "target_format": "DMS", + "ground_truth": { + "target_string": "50°25'28.2\"N, 4°28'44.0\"E", + "latitude": 50.42449, + "longitude": 4.4789 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 50.424490, 4.478900", + " Latitude: 50.42449°", + " Longitude: 4.4789°", + "Step 2: Convert latitude to DMS", + " Degrees = 50", + " Minutes = int((50.424490 - 50) × 60) = 25", + " Seconds = ((50.424490 - 50) × 60 - 25) × 60 = 28.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 4", + " Minutes = 28", + " Seconds = 44.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 50°25'28.2\"N, 4°28'44.0\"E", + "FINAL ANSWER: 50°25'28.2\"N, 4°28'44.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Marrakesh", + "source_format": "DMS", + "source_string": "31°38'3.0\"N, 7°59'59.8\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "31.634160, -7.999940", + "latitude": 31.63416, + "longitude": -7.99994 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 31°38'3.0\"N, 7°59'59.8\"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: 31.63416°", + "Step 4: Calculate longitude", + " Longitude: -7.99994°", + "FINAL ANSWER: 31.634160, -7.999940" + ] + }, + { + "task": "format_conversion", + "location_name": "Santa Clara", + "source_format": "DMS", + "source_string": "10°11'29.6\"S, 15°26'2.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-10.191560, 15.434080", + "latitude": -10.19156, + "longitude": 15.43408 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 10°11'29.6\"S, 15°26'2.7\"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: -10.19156°", + "Step 4: Calculate longitude", + " Longitude: 15.43408°", + "FINAL ANSWER: -10.191560, 15.434080" + ] + }, + { + "task": "format_conversion", + "location_name": "Maḩallat Damanah", + "source_format": "decimal_degrees", + "source_string": "31.072870, 31.495030", + "target_format": "DMS", + "ground_truth": { + "target_string": "31°4'22.3\"N, 31°29'42.1\"E", + "latitude": 31.07287, + "longitude": 31.49503 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 31.072870, 31.495030", + " Latitude: 31.07287°", + " Longitude: 31.49503°", + "Step 2: Convert latitude to DMS", + " Degrees = 31", + " Minutes = int((31.072870 - 31) × 60) = 4", + " Seconds = ((31.072870 - 31) × 60 - 4) × 60 = 22.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 31", + " Minutes = 29", + " Seconds = 42.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 31°4'22.3\"N, 31°29'42.1\"E", + "FINAL ANSWER: 31°4'22.3\"N, 31°29'42.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Palagiano", + "source_format": "decimal_degrees", + "source_string": "40.577620, 17.038120", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°34'39.4\"N, 17°2'17.2\"E", + "latitude": 40.57762, + "longitude": 17.03812 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.577620, 17.038120", + " Latitude: 40.57762°", + " Longitude: 17.03812°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.577620 - 40) × 60) = 34", + " Seconds = ((40.577620 - 40) × 60 - 34) × 60 = 39.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 17", + " Minutes = 2", + " Seconds = 17.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 40°34'39.4\"N, 17°2'17.2\"E", + "FINAL ANSWER: 40°34'39.4\"N, 17°2'17.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kuusamo", + "source_format": "decimal_degrees", + "source_string": "65.964470, 29.188780", + "target_format": "DMS", + "ground_truth": { + "target_string": "65°57'52.1\"N, 29°11'19.6\"E", + "latitude": 65.96447, + "longitude": 29.18878 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 65.964470, 29.188780", + " Latitude: 65.96447°", + " Longitude: 29.18878°", + "Step 2: Convert latitude to DMS", + " Degrees = 65", + " Minutes = int((65.964470 - 65) × 60) = 57", + " Seconds = ((65.964470 - 65) × 60 - 57) × 60 = 52.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 29", + " Minutes = 11", + " Seconds = 19.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 65°57'52.1\"N, 29°11'19.6\"E", + "FINAL ANSWER: 65°57'52.1\"N, 29°11'19.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kurortnyy", + "source_format": "decimal_degrees", + "source_string": "60.165620, 29.908000", + "target_format": "DMS", + "ground_truth": { + "target_string": "60°9'56.2\"N, 29°54'28.8\"E", + "latitude": 60.16562, + "longitude": 29.908 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 60.165620, 29.908000", + " Latitude: 60.16562°", + " Longitude: 29.908°", + "Step 2: Convert latitude to DMS", + " Degrees = 60", + " Minutes = int((60.165620 - 60) × 60) = 9", + " Seconds = ((60.165620 - 60) × 60 - 9) × 60 = 56.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 29", + " Minutes = 54", + " Seconds = 28.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 60°9'56.2\"N, 29°54'28.8\"E", + "FINAL ANSWER: 60°9'56.2\"N, 29°54'28.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Quinze-Vingts", + "source_format": "DMS", + "source_string": "48°50'47.6\"N, 2°22'27.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "48.846560, 2.374390", + "latitude": 48.84656, + "longitude": 2.37439 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 48°50'47.6\"N, 2°22'27.8\"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: 48.84656°", + "Step 4: Calculate longitude", + " Longitude: 2.37439°", + "FINAL ANSWER: 48.846560, 2.374390" + ] + }, + { + "task": "format_conversion", + "location_name": "Narsinghgarh", + "source_format": "decimal_degrees", + "source_string": "23.707580, 77.093190", + "target_format": "DMS", + "ground_truth": { + "target_string": "23°42'27.3\"N, 77°5'35.5\"E", + "latitude": 23.70758, + "longitude": 77.09319 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 23.707580, 77.093190", + " Latitude: 23.70758°", + " Longitude: 77.09319°", + "Step 2: Convert latitude to DMS", + " Degrees = 23", + " Minutes = int((23.707580 - 23) × 60) = 42", + " Seconds = ((23.707580 - 23) × 60 - 42) × 60 = 27.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 77", + " Minutes = 5", + " Seconds = 35.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 23°42'27.3\"N, 77°5'35.5\"E", + "FINAL ANSWER: 23°42'27.3\"N, 77°5'35.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Songjiang", + "source_format": "decimal_degrees", + "source_string": "31.034430, 121.223260", + "target_format": "DMS", + "ground_truth": { + "target_string": "31°2'3.9\"N, 121°13'23.7\"E", + "latitude": 31.03443, + "longitude": 121.22326 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 31.034430, 121.223260", + " Latitude: 31.03443°", + " Longitude: 121.22326°", + "Step 2: Convert latitude to DMS", + " Degrees = 31", + " Minutes = int((31.034430 - 31) × 60) = 2", + " Seconds = ((31.034430 - 31) × 60 - 2) × 60 = 3.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 121", + " Minutes = 13", + " Seconds = 23.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 31°2'3.9\"N, 121°13'23.7\"E", + "FINAL ANSWER: 31°2'3.9\"N, 121°13'23.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Bad Lippspringe", + "source_format": "DMS", + "source_string": "51°46'60.0\"N, 8°49'0.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "51.783330, 8.816830", + "latitude": 51.78333, + "longitude": 8.81683 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 51°46'60.0\"N, 8°49'0.6\"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: 51.78333°", + "Step 4: Calculate longitude", + " Longitude: 8.81683°", + "FINAL ANSWER: 51.783330, 8.816830" + ] + }, + { + "task": "format_conversion", + "location_name": "Matinkylä", + "source_format": "DMS", + "source_string": "60°9'31.9\"N, 24°44'32.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "60.158850, 24.742410", + "latitude": 60.15885, + "longitude": 24.74241 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 60°9'31.9\"N, 24°44'32.7\"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: 60.15885°", + "Step 4: Calculate longitude", + " Longitude: 24.74241°", + "FINAL ANSWER: 60.158850, 24.742410" + ] + }, + { + "task": "format_conversion", + "location_name": "Gelnhausen", + "source_format": "DMS", + "source_string": "50°12'5.9\"N, 9°11'14.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "50.201640, 9.187420", + "latitude": 50.20164, + "longitude": 9.18742 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 50°12'5.9\"N, 9°11'14.7\"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: 50.20164°", + "Step 4: Calculate longitude", + " Longitude: 9.18742°", + "FINAL ANSWER: 50.201640, 9.187420" + ] + }, + { + "task": "format_conversion", + "location_name": "Puertollano", + "source_format": "decimal_degrees", + "source_string": "38.687120, -4.107340", + "target_format": "DMS", + "ground_truth": { + "target_string": "38°41'13.6\"N, 4°6'26.4\"W", + "latitude": 38.68712, + "longitude": -4.10734 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 38.687120, -4.107340", + " Latitude: 38.68712°", + " Longitude: -4.10734°", + "Step 2: Convert latitude to DMS", + " Degrees = 38", + " Minutes = int((38.687120 - 38) × 60) = 41", + " Seconds = ((38.687120 - 38) × 60 - 41) × 60 = 13.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 4", + " Minutes = 6", + " Seconds = 26.4", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 38°41'13.6\"N, 4°6'26.4\"W", + "FINAL ANSWER: 38°41'13.6\"N, 4°6'26.4\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Medenine", + "source_format": "decimal_degrees", + "source_string": "33.354950, 10.505480", + "target_format": "DMS", + "ground_truth": { + "target_string": "33°21'17.8\"N, 10°30'19.7\"E", + "latitude": 33.35495, + "longitude": 10.50548 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 33.354950, 10.505480", + " Latitude: 33.35495°", + " Longitude: 10.50548°", + "Step 2: Convert latitude to DMS", + " Degrees = 33", + " Minutes = int((33.354950 - 33) × 60) = 21", + " Seconds = ((33.354950 - 33) × 60 - 21) × 60 = 17.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 10", + " Minutes = 30", + " Seconds = 19.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 33°21'17.8\"N, 10°30'19.7\"E", + "FINAL ANSWER: 33°21'17.8\"N, 10°30'19.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "El Amria", + "source_format": "DMS", + "source_string": "35°31'27.8\"N, 1°0'56.8\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "35.524390, -1.015770", + "latitude": 35.52439, + "longitude": -1.01577 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 35°31'27.8\"N, 1°0'56.8\"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: 35.52439°", + "Step 4: Calculate longitude", + " Longitude: -1.01577°", + "FINAL ANSWER: 35.524390, -1.015770" + ] + }, + { + "task": "format_conversion", + "location_name": "Cheb", + "source_format": "decimal_degrees", + "source_string": "50.079630, 12.373920", + "target_format": "DMS", + "ground_truth": { + "target_string": "50°4'46.7\"N, 12°22'26.1\"E", + "latitude": 50.07963, + "longitude": 12.37392 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 50.079630, 12.373920", + " Latitude: 50.07963°", + " Longitude: 12.37392°", + "Step 2: Convert latitude to DMS", + " Degrees = 50", + " Minutes = int((50.079630 - 50) × 60) = 4", + " Seconds = ((50.079630 - 50) × 60 - 4) × 60 = 46.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 12", + " Minutes = 22", + " Seconds = 26.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 50°4'46.7\"N, 12°22'26.1\"E", + "FINAL ANSWER: 50°4'46.7\"N, 12°22'26.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Hoogstraten", + "source_format": "DMS", + "source_string": "51°24'1.0\"N, 4°45'37.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "51.400290, 4.760340", + "latitude": 51.40029, + "longitude": 4.76034 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 51°24'1.0\"N, 4°45'37.2\"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: 51.40029°", + "Step 4: Calculate longitude", + " Longitude: 4.76034°", + "FINAL ANSWER: 51.400290, 4.760340" + ] + }, + { + "task": "format_conversion", + "location_name": "Knokke-Heist", + "source_format": "DMS", + "source_string": "51°21'0.0\"N, 3°16'0.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "51.350000, 3.266670", + "latitude": 51.35, + "longitude": 3.26667 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 51°21'0.0\"N, 3°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: 51.35°", + "Step 4: Calculate longitude", + " Longitude: 3.26667°", + "FINAL ANSWER: 51.350000, 3.266670" + ] + }, + { + "task": "format_conversion", + "location_name": "Serrita", + "source_format": "decimal_degrees", + "source_string": "-7.933330, -39.295830", + "target_format": "DMS", + "ground_truth": { + "target_string": "7°55'60.0\"S, 39°17'45.0\"W", + "latitude": -7.93333, + "longitude": -39.29583 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -7.933330, -39.295830", + " Latitude: -7.93333°", + " Longitude: -39.29583°", + "Step 2: Convert latitude to DMS", + " Degrees = 7", + " Minutes = int((7.933330 - 7) × 60) = 55", + " Seconds = ((7.933330 - 7) × 60 - 55) × 60 = 60.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 39", + " Minutes = 17", + " Seconds = 45.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 7°55'60.0\"S, 39°17'45.0\"W", + "FINAL ANSWER: 7°55'60.0\"S, 39°17'45.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Getúlio Vargas", + "source_format": "DMS", + "source_string": "27°53'25.0\"S, 52°13'39.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-27.890280, -52.227500", + "latitude": -27.89028, + "longitude": -52.2275 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 27°53'25.0\"S, 52°13'39.0\"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: -27.89028°", + "Step 4: Calculate longitude", + " Longitude: -52.2275°", + "FINAL ANSWER: -27.890280, -52.227500" + ] + }, + { + "task": "format_conversion", + "location_name": "Suay", + "source_format": "decimal_degrees", + "source_string": "10.053300, 122.842300", + "target_format": "DMS", + "ground_truth": { + "target_string": "10°3'11.9\"N, 122°50'32.3\"E", + "latitude": 10.0533, + "longitude": 122.8423 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 10.053300, 122.842300", + " Latitude: 10.0533°", + " Longitude: 122.8423°", + "Step 2: Convert latitude to DMS", + " Degrees = 10", + " Minutes = int((10.053300 - 10) × 60) = 3", + " Seconds = ((10.053300 - 10) × 60 - 3) × 60 = 11.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 122", + " Minutes = 50", + " Seconds = 32.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 10°3'11.9\"N, 122°50'32.3\"E", + "FINAL ANSWER: 10°3'11.9\"N, 122°50'32.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Greeley", + "source_format": "decimal_degrees", + "source_string": "40.423310, -104.709130", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°25'23.9\"N, 104°42'32.9\"W", + "latitude": 40.42331, + "longitude": -104.70913 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.423310, -104.709130", + " Latitude: 40.42331°", + " Longitude: -104.70913°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.423310 - 40) × 60) = 25", + " Seconds = ((40.423310 - 40) × 60 - 25) × 60 = 23.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 104", + " Minutes = 42", + " Seconds = 32.9", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 40°25'23.9\"N, 104°42'32.9\"W", + "FINAL ANSWER: 40°25'23.9\"N, 104°42'32.9\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Taylor-Massey", + "source_format": "decimal_degrees", + "source_string": "43.695000, -79.295900", + "target_format": "DMS", + "ground_truth": { + "target_string": "43°41'42.0\"N, 79°17'45.2\"W", + "latitude": 43.695, + "longitude": -79.2959 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 43.695000, -79.295900", + " Latitude: 43.695°", + " Longitude: -79.2959°", + "Step 2: Convert latitude to DMS", + " Degrees = 43", + " Minutes = int((43.695000 - 43) × 60) = 41", + " Seconds = ((43.695000 - 43) × 60 - 41) × 60 = 42.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 79", + " Minutes = 17", + " Seconds = 45.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 43°41'42.0\"N, 79°17'45.2\"W", + "FINAL ANSWER: 43°41'42.0\"N, 79°17'45.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Kalwākurti", + "source_format": "decimal_degrees", + "source_string": "16.663960, 78.491430", + "target_format": "DMS", + "ground_truth": { + "target_string": "16°39'50.3\"N, 78°29'29.1\"E", + "latitude": 16.66396, + "longitude": 78.49143 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 16.663960, 78.491430", + " Latitude: 16.66396°", + " Longitude: 78.49143°", + "Step 2: Convert latitude to DMS", + " Degrees = 16", + " Minutes = int((16.663960 - 16) × 60) = 39", + " Seconds = ((16.663960 - 16) × 60 - 39) × 60 = 50.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 78", + " Minutes = 29", + " Seconds = 29.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 16°39'50.3\"N, 78°29'29.1\"E", + "FINAL ANSWER: 16°39'50.3\"N, 78°29'29.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kampung Baru Subang", + "source_format": "decimal_degrees", + "source_string": "3.150000, 101.533330", + "target_format": "DMS", + "ground_truth": { + "target_string": "3°8'60.0\"N, 101°31'60.0\"E", + "latitude": 3.15, + "longitude": 101.53333 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 3.150000, 101.533330", + " Latitude: 3.15°", + " Longitude: 101.53333°", + "Step 2: Convert latitude to DMS", + " Degrees = 3", + " Minutes = int((3.150000 - 3) × 60) = 8", + " Seconds = ((3.150000 - 3) × 60 - 8) × 60 = 60.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 101", + " Minutes = 31", + " Seconds = 60.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 3°8'60.0\"N, 101°31'60.0\"E", + "FINAL ANSWER: 3°8'60.0\"N, 101°31'60.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Diinsoor", + "source_format": "decimal_degrees", + "source_string": "2.408500, 42.977100", + "target_format": "DMS", + "ground_truth": { + "target_string": "2°24'30.6\"N, 42°58'37.6\"E", + "latitude": 2.4085, + "longitude": 42.9771 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 2.408500, 42.977100", + " Latitude: 2.4085°", + " Longitude: 42.9771°", + "Step 2: Convert latitude to DMS", + " Degrees = 2", + " Minutes = int((2.408500 - 2) × 60) = 24", + " Seconds = ((2.408500 - 2) × 60 - 24) × 60 = 30.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 42", + " Minutes = 58", + " Seconds = 37.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 2°24'30.6\"N, 42°58'37.6\"E", + "FINAL ANSWER: 2°24'30.6\"N, 42°58'37.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Maroochydore", + "source_format": "DMS", + "source_string": "26°39'36.3\"S, 153°5'58.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-26.660080, 153.099530", + "latitude": -26.66008, + "longitude": 153.09953 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 26°39'36.3\"S, 153°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: -26.66008°", + "Step 4: Calculate longitude", + " Longitude: 153.09953°", + "FINAL ANSWER: -26.660080, 153.099530" + ] + }, + { + "task": "format_conversion", + "location_name": "Ottakring", + "source_format": "decimal_degrees", + "source_string": "48.216670, 16.300000", + "target_format": "DMS", + "ground_truth": { + "target_string": "48°13'0.0\"N, 16°18'0.0\"E", + "latitude": 48.21667, + "longitude": 16.3 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 48.216670, 16.300000", + " Latitude: 48.21667°", + " Longitude: 16.3°", + "Step 2: Convert latitude to DMS", + " Degrees = 48", + " Minutes = int((48.216670 - 48) × 60) = 13", + " Seconds = ((48.216670 - 48) × 60 - 13) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 16", + " Minutes = 18", + " Seconds = 0.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 48°13'0.0\"N, 16°18'0.0\"E", + "FINAL ANSWER: 48°13'0.0\"N, 16°18'0.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Calbayog City", + "source_format": "DMS", + "source_string": "12°4'0.5\"N, 124°35'46.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "12.066800, 124.596200", + "latitude": 12.0668, + "longitude": 124.5962 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 12°4'0.5\"N, 124°35'46.3\"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: 12.0668°", + "Step 4: Calculate longitude", + " Longitude: 124.5962°", + "FINAL ANSWER: 12.066800, 124.596200" + ] + }, + { + "task": "format_conversion", + "location_name": "Teyateyaneng", + "source_format": "DMS", + "source_string": "29°8'49.9\"S, 27°44'56.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-29.147190, 27.748950", + "latitude": -29.14719, + "longitude": 27.74895 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 29°8'49.9\"S, 27°44'56.2\"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: -29.14719°", + "Step 4: Calculate longitude", + " Longitude: 27.74895°", + "FINAL ANSWER: -29.147190, 27.748950" + ] + }, + { + "task": "format_conversion", + "location_name": "Queimadas", + "source_format": "DMS", + "source_string": "10°58'42.0\"S, 39°37'35.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-10.978330, -39.626390", + "latitude": -10.97833, + "longitude": -39.62639 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 10°58'42.0\"S, 39°37'35.0\"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: -10.97833°", + "Step 4: Calculate longitude", + " Longitude: -39.62639°", + "FINAL ANSWER: -10.978330, -39.626390" + ] + }, + { + "task": "format_conversion", + "location_name": "Semarang", + "source_format": "DMS", + "source_string": "6°59'35.0\"S, 110°25'15.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-6.993060, 110.420830", + "latitude": -6.99306, + "longitude": 110.42083 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 6°59'35.0\"S, 110°25'15.0\"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: -6.99306°", + "Step 4: Calculate longitude", + " Longitude: 110.42083°", + "FINAL ANSWER: -6.993060, 110.420830" + ] + }, + { + "task": "format_conversion", + "location_name": "Shepetivka", + "source_format": "decimal_degrees", + "source_string": "50.181180, 27.065170", + "target_format": "DMS", + "ground_truth": { + "target_string": "50°10'52.2\"N, 27°3'54.6\"E", + "latitude": 50.18118, + "longitude": 27.06517 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 50.181180, 27.065170", + " Latitude: 50.18118°", + " Longitude: 27.06517°", + "Step 2: Convert latitude to DMS", + " Degrees = 50", + " Minutes = int((50.181180 - 50) × 60) = 10", + " Seconds = ((50.181180 - 50) × 60 - 10) × 60 = 52.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 27", + " Minutes = 3", + " Seconds = 54.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 50°10'52.2\"N, 27°3'54.6\"E", + "FINAL ANSWER: 50°10'52.2\"N, 27°3'54.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Nova Hartz", + "source_format": "DMS", + "source_string": "29°35'3.3\"S, 50°54'10.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-29.584250, -50.902780", + "latitude": -29.58425, + "longitude": -50.90278 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 29°35'3.3\"S, 50°54'10.0\"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: -29.58425°", + "Step 4: Calculate longitude", + " Longitude: -50.90278°", + "FINAL ANSWER: -29.584250, -50.902780" + ] + }, + { + "task": "format_conversion", + "location_name": "Miramar", + "source_format": "decimal_degrees", + "source_string": "22.360940, -97.899970", + "target_format": "DMS", + "ground_truth": { + "target_string": "22°21'39.4\"N, 97°53'59.9\"W", + "latitude": 22.36094, + "longitude": -97.89997 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 22.360940, -97.899970", + " Latitude: 22.36094°", + " Longitude: -97.89997°", + "Step 2: Convert latitude to DMS", + " Degrees = 22", + " Minutes = int((22.360940 - 22) × 60) = 21", + " Seconds = ((22.360940 - 22) × 60 - 21) × 60 = 39.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 97", + " Minutes = 53", + " Seconds = 59.9", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 22°21'39.4\"N, 97°53'59.9\"W", + "FINAL ANSWER: 22°21'39.4\"N, 97°53'59.9\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Lodhran", + "source_format": "decimal_degrees", + "source_string": "29.533900, 71.632440", + "target_format": "DMS", + "ground_truth": { + "target_string": "29°32'2.0\"N, 71°37'56.8\"E", + "latitude": 29.5339, + "longitude": 71.63244 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 29.533900, 71.632440", + " Latitude: 29.5339°", + " Longitude: 71.63244°", + "Step 2: Convert latitude to DMS", + " Degrees = 29", + " Minutes = int((29.533900 - 29) × 60) = 32", + " Seconds = ((29.533900 - 29) × 60 - 32) × 60 = 2.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 71", + " Minutes = 37", + " Seconds = 56.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 29°32'2.0\"N, 71°37'56.8\"E", + "FINAL ANSWER: 29°32'2.0\"N, 71°37'56.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kollancode", + "source_format": "decimal_degrees", + "source_string": "8.289030, 77.107990", + "target_format": "DMS", + "ground_truth": { + "target_string": "8°17'20.5\"N, 77°6'28.8\"E", + "latitude": 8.28903, + "longitude": 77.10799 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 8.289030, 77.107990", + " Latitude: 8.28903°", + " Longitude: 77.10799°", + "Step 2: Convert latitude to DMS", + " Degrees = 8", + " Minutes = int((8.289030 - 8) × 60) = 17", + " Seconds = ((8.289030 - 8) × 60 - 17) × 60 = 20.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 77", + " Minutes = 6", + " Seconds = 28.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 8°17'20.5\"N, 77°6'28.8\"E", + "FINAL ANSWER: 8°17'20.5\"N, 77°6'28.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Alamo", + "source_format": "DMS", + "source_string": "26°11'1.3\"N, 98°7'23.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "26.183690, -98.123060", + "latitude": 26.18369, + "longitude": -98.12306 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 26°11'1.3\"N, 98°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: 26.18369°", + "Step 4: Calculate longitude", + " Longitude: -98.12306°", + "FINAL ANSWER: 26.183690, -98.123060" + ] + }, + { + "task": "format_conversion", + "location_name": "Goioerê", + "source_format": "DMS", + "source_string": "24°11'5.0\"S, 53°1'39.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-24.184720, -53.027500", + "latitude": -24.18472, + "longitude": -53.0275 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 24°11'5.0\"S, 53°1'39.0\"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: -24.18472°", + "Step 4: Calculate longitude", + " Longitude: -53.0275°", + "FINAL ANSWER: -24.184720, -53.027500" + ] + }, + { + "task": "format_conversion", + "location_name": "Ibirataia", + "source_format": "DMS", + "source_string": "14°4'1.0\"S, 39°38'26.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-14.066940, -39.640560", + "latitude": -14.06694, + "longitude": -39.64056 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 14°4'1.0\"S, 39°38'26.0\"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: -14.06694°", + "Step 4: Calculate longitude", + " Longitude: -39.64056°", + "FINAL ANSWER: -14.066940, -39.640560" + ] + }, + { + "task": "format_conversion", + "location_name": "Colomba", + "source_format": "decimal_degrees", + "source_string": "14.707300, -91.731670", + "target_format": "DMS", + "ground_truth": { + "target_string": "14°42'26.3\"N, 91°43'54.0\"W", + "latitude": 14.7073, + "longitude": -91.73167 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 14.707300, -91.731670", + " Latitude: 14.7073°", + " Longitude: -91.73167°", + "Step 2: Convert latitude to DMS", + " Degrees = 14", + " Minutes = int((14.707300 - 14) × 60) = 42", + " Seconds = ((14.707300 - 14) × 60 - 42) × 60 = 26.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 91", + " Minutes = 43", + " Seconds = 54.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 14°42'26.3\"N, 91°43'54.0\"W", + "FINAL ANSWER: 14°42'26.3\"N, 91°43'54.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Fengcheng", + "source_format": "decimal_degrees", + "source_string": "34.703880, 116.587170", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°42'14.0\"N, 116°35'13.8\"E", + "latitude": 34.70388, + "longitude": 116.58717 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 34.703880, 116.587170", + " Latitude: 34.70388°", + " Longitude: 116.58717°", + "Step 2: Convert latitude to DMS", + " Degrees = 34", + " Minutes = int((34.703880 - 34) × 60) = 42", + " Seconds = ((34.703880 - 34) × 60 - 42) × 60 = 14.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 116", + " Minutes = 35", + " Seconds = 13.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 34°42'14.0\"N, 116°35'13.8\"E", + "FINAL ANSWER: 34°42'14.0\"N, 116°35'13.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "El Ain", + "source_format": "decimal_degrees", + "source_string": "34.800000, 10.783330", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°47'60.0\"N, 10°46'60.0\"E", + "latitude": 34.8, + "longitude": 10.78333 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 34.800000, 10.783330", + " Latitude: 34.8°", + " Longitude: 10.78333°", + "Step 2: Convert latitude to DMS", + " Degrees = 34", + " Minutes = int((34.800000 - 34) × 60) = 47", + " Seconds = ((34.800000 - 34) × 60 - 47) × 60 = 60.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 10", + " Minutes = 46", + " Seconds = 60.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 34°47'60.0\"N, 10°46'60.0\"E", + "FINAL ANSWER: 34°47'60.0\"N, 10°46'60.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Vidigal", + "source_format": "DMS", + "source_string": "22°59'41.4\"S, 43°14'23.6\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-22.994830, -43.239890", + "latitude": -22.99483, + "longitude": -43.23989 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 22°59'41.4\"S, 43°14'23.6\"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: -22.99483°", + "Step 4: Calculate longitude", + " Longitude: -43.23989°", + "FINAL ANSWER: -22.994830, -43.239890" + ] + }, + { + "task": "format_conversion", + "location_name": "Schijndel", + "source_format": "DMS", + "source_string": "51°37'21.0\"N, 5°25'55.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "51.622500, 5.431940", + "latitude": 51.6225, + "longitude": 5.43194 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 51°37'21.0\"N, 5°25'55.0\"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: 51.6225°", + "Step 4: Calculate longitude", + " Longitude: 5.43194°", + "FINAL ANSWER: 51.622500, 5.431940" + ] + }, + { + "task": "format_conversion", + "location_name": "Machala", + "source_format": "DMS", + "source_string": "3°15'31.9\"S, 79°57'31.5\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-3.258860, -79.958760", + "latitude": -3.25886, + "longitude": -79.95876 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 3°15'31.9\"S, 79°57'31.5\"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: -3.25886°", + "Step 4: Calculate longitude", + " Longitude: -79.95876°", + "FINAL ANSWER: -3.258860, -79.958760" + ] + }, + { + "task": "format_conversion", + "location_name": "Chato", + "source_format": "DMS", + "source_string": "2°38'16.0\"S, 31°46'1.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-2.637780, 31.766940", + "latitude": -2.63778, + "longitude": 31.76694 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 2°38'16.0\"S, 31°46'1.0\"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: -2.63778°", + "Step 4: Calculate longitude", + " Longitude: 31.76694°", + "FINAL ANSWER: -2.637780, 31.766940" + ] + }, + { + "task": "format_conversion", + "location_name": "Kākori", + "source_format": "DMS", + "source_string": "26°52'4.8\"N, 80°47'8.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "26.868000, 80.785700", + "latitude": 26.868, + "longitude": 80.7857 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 26°52'4.8\"N, 80°47'8.5\"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: 26.868°", + "Step 4: Calculate longitude", + " Longitude: 80.7857°", + "FINAL ANSWER: 26.868000, 80.785700" + ] + }, + { + "task": "format_conversion", + "location_name": "Nedumbassery", + "source_format": "DMS", + "source_string": "10°9'23.3\"N, 76°24'6.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "10.156460, 76.401670", + "latitude": 10.15646, + "longitude": 76.40167 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 10°9'23.3\"N, 76°24'6.0\"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: 10.15646°", + "Step 4: Calculate longitude", + " Longitude: 76.40167°", + "FINAL ANSWER: 10.156460, 76.401670" + ] + }, + { + "task": "format_conversion", + "location_name": "Nangwa", + "source_format": "decimal_degrees", + "source_string": "-4.466670, 35.450000", + "target_format": "DMS", + "ground_truth": { + "target_string": "4°28'0.0\"S, 35°27'0.0\"E", + "latitude": -4.46667, + "longitude": 35.45 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -4.466670, 35.450000", + " Latitude: -4.46667°", + " Longitude: 35.45°", + "Step 2: Convert latitude to DMS", + " Degrees = 4", + " Minutes = int((4.466670 - 4) × 60) = 28", + " Seconds = ((4.466670 - 4) × 60 - 28) × 60 = 0.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 35", + " Minutes = 27", + " Seconds = 0.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 4°28'0.0\"S, 35°27'0.0\"E", + "FINAL ANSWER: 4°28'0.0\"S, 35°27'0.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Bom Jesus das Selvas", + "source_format": "DMS", + "source_string": "4°29'0.6\"S, 46°51'11.7\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-4.483500, -46.853260", + "latitude": -4.4835, + "longitude": -46.85326 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 4°29'0.6\"S, 46°51'11.7\"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: -4.4835°", + "Step 4: Calculate longitude", + " Longitude: -46.85326°", + "FINAL ANSWER: -4.483500, -46.853260" + ] + }, + { + "task": "format_conversion", + "location_name": "Kāro", + "source_format": "DMS", + "source_string": "23°47'6.6\"N, 85°58'41.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "23.785160, 85.978300", + "latitude": 23.78516, + "longitude": 85.9783 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 23°47'6.6\"N, 85°58'41.9\"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: 23.78516°", + "Step 4: Calculate longitude", + " Longitude: 85.9783°", + "FINAL ANSWER: 23.785160, 85.978300" + ] + }, + { + "task": "format_conversion", + "location_name": "Żabbar", + "source_format": "decimal_degrees", + "source_string": "35.876870, 14.535920", + "target_format": "DMS", + "ground_truth": { + "target_string": "35°52'36.7\"N, 14°32'9.3\"E", + "latitude": 35.87687, + "longitude": 14.53592 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 35.876870, 14.535920", + " Latitude: 35.87687°", + " Longitude: 14.53592°", + "Step 2: Convert latitude to DMS", + " Degrees = 35", + " Minutes = int((35.876870 - 35) × 60) = 52", + " Seconds = ((35.876870 - 35) × 60 - 52) × 60 = 36.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 14", + " Minutes = 32", + " Seconds = 9.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 35°52'36.7\"N, 14°32'9.3\"E", + "FINAL ANSWER: 35°52'36.7\"N, 14°32'9.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Chatrā", + "source_format": "DMS", + "source_string": "24°12'23.2\"N, 84°52'15.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "24.206450, 84.870850", + "latitude": 24.20645, + "longitude": 84.87085 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 24°12'23.2\"N, 84°52'15.1\"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: 24.20645°", + "Step 4: Calculate longitude", + " Longitude: 84.87085°", + "FINAL ANSWER: 24.206450, 84.870850" + ] + }, + { + "task": "format_conversion", + "location_name": "Itami", + "source_format": "decimal_degrees", + "source_string": "34.784270, 135.401260", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°47'3.4\"N, 135°24'4.5\"E", + "latitude": 34.78427, + "longitude": 135.40126 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 34.784270, 135.401260", + " Latitude: 34.78427°", + " Longitude: 135.40126°", + "Step 2: Convert latitude to DMS", + " Degrees = 34", + " Minutes = int((34.784270 - 34) × 60) = 47", + " Seconds = ((34.784270 - 34) × 60 - 47) × 60 = 3.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 135", + " Minutes = 24", + " Seconds = 4.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 34°47'3.4\"N, 135°24'4.5\"E", + "FINAL ANSWER: 34°47'3.4\"N, 135°24'4.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kronberg", + "source_format": "DMS", + "source_string": "50°10'51.6\"N, 8°30'46.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "50.181000, 8.513000", + "latitude": 50.181, + "longitude": 8.513 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 50°10'51.6\"N, 8°30'46.8\"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: 50.181°", + "Step 4: Calculate longitude", + " Longitude: 8.513°", + "FINAL ANSWER: 50.181000, 8.513000" + ] + }, + { + "task": "format_conversion", + "location_name": "Ar Rayyān", + "source_format": "decimal_degrees", + "source_string": "25.291940, 51.424440", + "target_format": "DMS", + "ground_truth": { + "target_string": "25°17'31.0\"N, 51°25'28.0\"E", + "latitude": 25.29194, + "longitude": 51.42444 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 25.291940, 51.424440", + " Latitude: 25.29194°", + " Longitude: 51.42444°", + "Step 2: Convert latitude to DMS", + " Degrees = 25", + " Minutes = int((25.291940 - 25) × 60) = 17", + " Seconds = ((25.291940 - 25) × 60 - 17) × 60 = 31.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 51", + " Minutes = 25", + " Seconds = 28.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 25°17'31.0\"N, 51°25'28.0\"E", + "FINAL ANSWER: 25°17'31.0\"N, 51°25'28.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Ceres", + "source_format": "decimal_degrees", + "source_string": "37.594930, -120.957710", + "target_format": "DMS", + "ground_truth": { + "target_string": "37°35'41.7\"N, 120°57'27.8\"W", + "latitude": 37.59493, + "longitude": -120.95771 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 37.594930, -120.957710", + " Latitude: 37.59493°", + " Longitude: -120.95771°", + "Step 2: Convert latitude to DMS", + " Degrees = 37", + " Minutes = int((37.594930 - 37) × 60) = 35", + " Seconds = ((37.594930 - 37) × 60 - 35) × 60 = 41.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 120", + " Minutes = 57", + " Seconds = 27.8", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 37°35'41.7\"N, 120°57'27.8\"W", + "FINAL ANSWER: 37°35'41.7\"N, 120°57'27.8\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Ofaqim", + "source_format": "decimal_degrees", + "source_string": "31.314100, 34.620250", + "target_format": "DMS", + "ground_truth": { + "target_string": "31°18'50.8\"N, 34°37'12.9\"E", + "latitude": 31.3141, + "longitude": 34.62025 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 31.314100, 34.620250", + " Latitude: 31.3141°", + " Longitude: 34.62025°", + "Step 2: Convert latitude to DMS", + " Degrees = 31", + " Minutes = int((31.314100 - 31) × 60) = 18", + " Seconds = ((31.314100 - 31) × 60 - 18) × 60 = 50.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 34", + " Minutes = 37", + " Seconds = 12.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 31°18'50.8\"N, 34°37'12.9\"E", + "FINAL ANSWER: 31°18'50.8\"N, 34°37'12.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Vilkpėdė", + "source_format": "DMS", + "source_string": "54°40'10.9\"N, 25°14'51.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "54.669690, 25.247700", + "latitude": 54.66969, + "longitude": 25.2477 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 54°40'10.9\"N, 25°14'51.7\"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: 54.66969°", + "Step 4: Calculate longitude", + " Longitude: 25.2477°", + "FINAL ANSWER: 54.669690, 25.247700" + ] + }, + { + "task": "format_conversion", + "location_name": "Walnut Grove", + "source_format": "DMS", + "source_string": "49°9'53.0\"N, 122°38'25.5\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "49.164730, -122.640420", + "latitude": 49.16473, + "longitude": -122.64042 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 49°9'53.0\"N, 122°38'25.5\"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: 49.16473°", + "Step 4: Calculate longitude", + " Longitude: -122.64042°", + "FINAL ANSWER: 49.164730, -122.640420" + ] + }, + { + "task": "format_conversion", + "location_name": "South Bel Air", + "source_format": "DMS", + "source_string": "39°31'59.4\"N, 76°20'14.9\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "39.533160, -76.337460", + "latitude": 39.53316, + "longitude": -76.33746 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 39°31'59.4\"N, 76°20'14.9\"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: 39.53316°", + "Step 4: Calculate longitude", + " Longitude: -76.33746°", + "FINAL ANSWER: 39.533160, -76.337460" + ] + }, + { + "task": "format_conversion", + "location_name": "Mercedes", + "source_format": "decimal_degrees", + "source_string": "14.109300, 123.010900", + "target_format": "DMS", + "ground_truth": { + "target_string": "14°6'33.5\"N, 123°0'39.2\"E", + "latitude": 14.1093, + "longitude": 123.0109 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 14.109300, 123.010900", + " Latitude: 14.1093°", + " Longitude: 123.0109°", + "Step 2: Convert latitude to DMS", + " Degrees = 14", + " Minutes = int((14.109300 - 14) × 60) = 6", + " Seconds = ((14.109300 - 14) × 60 - 6) × 60 = 33.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 123", + " Minutes = 0", + " Seconds = 39.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 14°6'33.5\"N, 123°0'39.2\"E", + "FINAL ANSWER: 14°6'33.5\"N, 123°0'39.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Bulancak", + "source_format": "DMS", + "source_string": "40°56'17.0\"N, 38°13'53.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.938050, 38.231480", + "latitude": 40.93805, + "longitude": 38.23148 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°56'17.0\"N, 38°13'53.3\"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: 40.93805°", + "Step 4: Calculate longitude", + " Longitude: 38.23148°", + "FINAL ANSWER: 40.938050, 38.231480" + ] + }, + { + "task": "format_conversion", + "location_name": "Desenzano del Garda", + "source_format": "decimal_degrees", + "source_string": "45.471270, 10.535590", + "target_format": "DMS", + "ground_truth": { + "target_string": "45°28'16.6\"N, 10°32'8.1\"E", + "latitude": 45.47127, + "longitude": 10.53559 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 45.471270, 10.535590", + " Latitude: 45.47127°", + " Longitude: 10.53559°", + "Step 2: Convert latitude to DMS", + " Degrees = 45", + " Minutes = int((45.471270 - 45) × 60) = 28", + " Seconds = ((45.471270 - 45) × 60 - 28) × 60 = 16.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 10", + " Minutes = 32", + " Seconds = 8.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 45°28'16.6\"N, 10°32'8.1\"E", + "FINAL ANSWER: 45°28'16.6\"N, 10°32'8.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Yangambi", + "source_format": "DMS", + "source_string": "0°46'3.2\"N, 24°26'23.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "0.767550, 24.439730", + "latitude": 0.76755, + "longitude": 24.43973 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 0°46'3.2\"N, 24°26'23.0\"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: 0.76755°", + "Step 4: Calculate longitude", + " Longitude: 24.43973°", + "FINAL ANSWER: 0.767550, 24.439730" + ] + }, + { + "task": "format_conversion", + "location_name": "Zima", + "source_format": "DMS", + "source_string": "53°55'12.7\"N, 102°2'39.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "53.920200, 102.044200", + "latitude": 53.9202, + "longitude": 102.0442 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 53°55'12.7\"N, 102°2'39.1\"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: 53.9202°", + "Step 4: Calculate longitude", + " Longitude: 102.0442°", + "FINAL ANSWER: 53.920200, 102.044200" + ] + }, + { + "task": "format_conversion", + "location_name": "Terni", + "source_format": "decimal_degrees", + "source_string": "42.563350, 12.643290", + "target_format": "DMS", + "ground_truth": { + "target_string": "42°33'48.1\"N, 12°38'35.8\"E", + "latitude": 42.56335, + "longitude": 12.64329 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 42.563350, 12.643290", + " Latitude: 42.56335°", + " Longitude: 12.64329°", + "Step 2: Convert latitude to DMS", + " Degrees = 42", + " Minutes = int((42.563350 - 42) × 60) = 33", + " Seconds = ((42.563350 - 42) × 60 - 33) × 60 = 48.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 12", + " Minutes = 38", + " Seconds = 35.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 42°33'48.1\"N, 12°38'35.8\"E", + "FINAL ANSWER: 42°33'48.1\"N, 12°38'35.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Weihai", + "source_format": "decimal_degrees", + "source_string": "37.509140, 122.113560", + "target_format": "DMS", + "ground_truth": { + "target_string": "37°30'32.9\"N, 122°6'48.8\"E", + "latitude": 37.50914, + "longitude": 122.11356 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 37.509140, 122.113560", + " Latitude: 37.50914°", + " Longitude: 122.11356°", + "Step 2: Convert latitude to DMS", + " Degrees = 37", + " Minutes = int((37.509140 - 37) × 60) = 30", + " Seconds = ((37.509140 - 37) × 60 - 30) × 60 = 32.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 122", + " Minutes = 6", + " Seconds = 48.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 37°30'32.9\"N, 122°6'48.8\"E", + "FINAL ANSWER: 37°30'32.9\"N, 122°6'48.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "West Pennant Hills", + "source_format": "DMS", + "source_string": "33°44'44.5\"S, 151°2'51.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-33.745700, 151.047640", + "latitude": -33.7457, + "longitude": 151.04764 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 33°44'44.5\"S, 151°2'51.5\"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: -33.7457°", + "Step 4: Calculate longitude", + " Longitude: 151.04764°", + "FINAL ANSWER: -33.745700, 151.047640" + ] + }, + { + "task": "format_conversion", + "location_name": "Clevedon", + "source_format": "decimal_degrees", + "source_string": "51.442270, -2.857860", + "target_format": "DMS", + "ground_truth": { + "target_string": "51°26'32.2\"N, 2°51'28.3\"W", + "latitude": 51.44227, + "longitude": -2.85786 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 51.442270, -2.857860", + " Latitude: 51.44227°", + " Longitude: -2.85786°", + "Step 2: Convert latitude to DMS", + " Degrees = 51", + " Minutes = int((51.442270 - 51) × 60) = 26", + " Seconds = ((51.442270 - 51) × 60 - 26) × 60 = 32.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 2", + " Minutes = 51", + " Seconds = 28.3", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 51°26'32.2\"N, 2°51'28.3\"W", + "FINAL ANSWER: 51°26'32.2\"N, 2°51'28.3\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Lar", + "source_format": "DMS", + "source_string": "26°12'14.2\"N, 83°58'8.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "26.203940, 83.969060", + "latitude": 26.20394, + "longitude": 83.96906 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 26°12'14.2\"N, 83°58'8.6\"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: 26.20394°", + "Step 4: Calculate longitude", + " Longitude: 83.96906°", + "FINAL ANSWER: 26.203940, 83.969060" + ] + }, + { + "task": "format_conversion", + "location_name": "Mukandpur", + "source_format": "DMS", + "source_string": "28°44'22.0\"N, 77°10'59.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "28.739440, 77.183150", + "latitude": 28.73944, + "longitude": 77.18315 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 28°44'22.0\"N, 77°10'59.3\"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: 28.73944°", + "Step 4: Calculate longitude", + " Longitude: 77.18315°", + "FINAL ANSWER: 28.739440, 77.183150" + ] + }, + { + "task": "format_conversion", + "location_name": "Harare", + "source_format": "decimal_degrees", + "source_string": "-17.827720, 31.053370", + "target_format": "DMS", + "ground_truth": { + "target_string": "17°49'39.8\"S, 31°3'12.1\"E", + "latitude": -17.82772, + "longitude": 31.05337 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -17.827720, 31.053370", + " Latitude: -17.82772°", + " Longitude: 31.05337°", + "Step 2: Convert latitude to DMS", + " Degrees = 17", + " Minutes = int((17.827720 - 17) × 60) = 49", + " Seconds = ((17.827720 - 17) × 60 - 49) × 60 = 39.8", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 31", + " Minutes = 3", + " Seconds = 12.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 17°49'39.8\"S, 31°3'12.1\"E", + "FINAL ANSWER: 17°49'39.8\"S, 31°3'12.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Staveley", + "source_format": "DMS", + "source_string": "53°16'0.0\"N, 1°21'0.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "53.266670, -1.350000", + "latitude": 53.26667, + "longitude": -1.35 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 53°16'0.0\"N, 1°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: 53.26667°", + "Step 4: Calculate longitude", + " Longitude: -1.35°", + "FINAL ANSWER: 53.266670, -1.350000" + ] + }, + { + "task": "format_conversion", + "location_name": "Narangba", + "source_format": "DMS", + "source_string": "27°12'12.2\"S, 152°57'33.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-27.203380, 152.959230", + "latitude": -27.20338, + "longitude": 152.95923 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 27°12'12.2\"S, 152°57'33.2\"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: -27.20338°", + "Step 4: Calculate longitude", + " Longitude: 152.95923°", + "FINAL ANSWER: -27.203380, 152.959230" + ] + }, + { + "task": "format_conversion", + "location_name": "Kesinga", + "source_format": "DMS", + "source_string": "20°11'16.0\"N, 83°13'10.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "20.187780, 83.219490", + "latitude": 20.18778, + "longitude": 83.21949 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 20°11'16.0\"N, 83°13'10.2\"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: 20.18778°", + "Step 4: Calculate longitude", + " Longitude: 83.21949°", + "FINAL ANSWER: 20.187780, 83.219490" + ] + }, + { + "task": "format_conversion", + "location_name": "Bektemir", + "source_format": "DMS", + "source_string": "41°12'35.0\"N, 69°20'3.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "41.209720, 69.334170", + "latitude": 41.20972, + "longitude": 69.33417 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 41°12'35.0\"N, 69°20'3.0\"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: 41.20972°", + "Step 4: Calculate longitude", + " Longitude: 69.33417°", + "FINAL ANSWER: 41.209720, 69.334170" + ] + }, + { + "task": "format_conversion", + "location_name": "Kayar", + "source_format": "DMS", + "source_string": "14°55'8.1\"N, 17°7'11.2\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "14.918930, -17.119780", + "latitude": 14.91893, + "longitude": -17.11978 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 14°55'8.1\"N, 17°7'11.2\"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: 14.91893°", + "Step 4: Calculate longitude", + " Longitude: -17.11978°", + "FINAL ANSWER: 14.918930, -17.119780" + ] + }, + { + "task": "format_conversion", + "location_name": "Reghaïa", + "source_format": "DMS", + "source_string": "36°44'9.1\"N, 3°20'24.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "36.735870, 3.340180", + "latitude": 36.73587, + "longitude": 3.34018 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 36°44'9.1\"N, 3°20'24.6\"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: 36.73587°", + "Step 4: Calculate longitude", + " Longitude: 3.34018°", + "FINAL ANSWER: 36.735870, 3.340180" + ] + }, + { + "task": "format_conversion", + "location_name": "Ali Sabih", + "source_format": "decimal_degrees", + "source_string": "11.155830, 42.712500", + "target_format": "DMS", + "ground_truth": { + "target_string": "11°9'21.0\"N, 42°42'45.0\"E", + "latitude": 11.15583, + "longitude": 42.7125 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 11.155830, 42.712500", + " Latitude: 11.15583°", + " Longitude: 42.7125°", + "Step 2: Convert latitude to DMS", + " Degrees = 11", + " Minutes = int((11.155830 - 11) × 60) = 9", + " Seconds = ((11.155830 - 11) × 60 - 9) × 60 = 21.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 42", + " Minutes = 42", + " Seconds = 45.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 11°9'21.0\"N, 42°42'45.0\"E", + "FINAL ANSWER: 11°9'21.0\"N, 42°42'45.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Tuntum", + "source_format": "decimal_degrees", + "source_string": "-5.258060, -44.648890", + "target_format": "DMS", + "ground_truth": { + "target_string": "5°15'29.0\"S, 44°38'56.0\"W", + "latitude": -5.25806, + "longitude": -44.64889 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -5.258060, -44.648890", + " Latitude: -5.25806°", + " Longitude: -44.64889°", + "Step 2: Convert latitude to DMS", + " Degrees = 5", + " Minutes = int((5.258060 - 5) × 60) = 15", + " Seconds = ((5.258060 - 5) × 60 - 15) × 60 = 29.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 44", + " Minutes = 38", + " Seconds = 56.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 5°15'29.0\"S, 44°38'56.0\"W", + "FINAL ANSWER: 5°15'29.0\"S, 44°38'56.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Binmaley", + "source_format": "DMS", + "source_string": "16°1'56.4\"N, 120°16'8.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "16.032320, 120.269040", + "latitude": 16.03232, + "longitude": 120.26904 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 16°1'56.4\"N, 120°16'8.5\"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: 16.03232°", + "Step 4: Calculate longitude", + " Longitude: 120.26904°", + "FINAL ANSWER: 16.032320, 120.269040" + ] + }, + { + "task": "format_conversion", + "location_name": "Latkrabang", + "source_format": "DMS", + "source_string": "13°43'40.2\"N, 100°44'45.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "13.727840, 100.746090", + "latitude": 13.72784, + "longitude": 100.74609 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 13°43'40.2\"N, 100°44'45.9\"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: 13.72784°", + "Step 4: Calculate longitude", + " Longitude: 100.74609°", + "FINAL ANSWER: 13.727840, 100.746090" + ] + }, + { + "task": "format_conversion", + "location_name": "Senec", + "source_format": "decimal_degrees", + "source_string": "48.219510, 17.400430", + "target_format": "DMS", + "ground_truth": { + "target_string": "48°13'10.2\"N, 17°24'1.5\"E", + "latitude": 48.21951, + "longitude": 17.40043 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 48.219510, 17.400430", + " Latitude: 48.21951°", + " Longitude: 17.40043°", + "Step 2: Convert latitude to DMS", + " Degrees = 48", + " Minutes = int((48.219510 - 48) × 60) = 13", + " Seconds = ((48.219510 - 48) × 60 - 13) × 60 = 10.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 17", + " Minutes = 24", + " Seconds = 1.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 48°13'10.2\"N, 17°24'1.5\"E", + "FINAL ANSWER: 48°13'10.2\"N, 17°24'1.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Burgdorf", + "source_format": "decimal_degrees", + "source_string": "52.446280, 10.006400", + "target_format": "DMS", + "ground_truth": { + "target_string": "52°26'46.6\"N, 10°0'23.0\"E", + "latitude": 52.44628, + "longitude": 10.0064 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 52.446280, 10.006400", + " Latitude: 52.44628°", + " Longitude: 10.0064°", + "Step 2: Convert latitude to DMS", + " Degrees = 52", + " Minutes = int((52.446280 - 52) × 60) = 26", + " Seconds = ((52.446280 - 52) × 60 - 26) × 60 = 46.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 10", + " Minutes = 0", + " Seconds = 23.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 52°26'46.6\"N, 10°0'23.0\"E", + "FINAL ANSWER: 52°26'46.6\"N, 10°0'23.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "El Obeid", + "source_format": "DMS", + "source_string": "13°11'3.2\"N, 30°13'0.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "13.184210, 30.216690", + "latitude": 13.18421, + "longitude": 30.21669 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 13°11'3.2\"N, 30°13'0.1\"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: 13.18421°", + "Step 4: Calculate longitude", + " Longitude: 30.21669°", + "FINAL ANSWER: 13.184210, 30.216690" + ] + }, + { + "task": "format_conversion", + "location_name": "Usera", + "source_format": "decimal_degrees", + "source_string": "40.388660, -3.700350", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°23'19.2\"N, 3°42'1.3\"W", + "latitude": 40.38866, + "longitude": -3.70035 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.388660, -3.700350", + " Latitude: 40.38866°", + " Longitude: -3.70035°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.388660 - 40) × 60) = 23", + " Seconds = ((40.388660 - 40) × 60 - 23) × 60 = 19.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 3", + " Minutes = 42", + " Seconds = 1.3", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 40°23'19.2\"N, 3°42'1.3\"W", + "FINAL ANSWER: 40°23'19.2\"N, 3°42'1.3\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Daqing", + "source_format": "DMS", + "source_string": "46°34'60.0\"N, 125°0'0.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "46.583330, 125.000000", + "latitude": 46.58333, + "longitude": 125.0 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 46°34'60.0\"N, 125°0'0.0\"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: 46.58333°", + "Step 4: Calculate longitude", + " Longitude: 125.0°", + "FINAL ANSWER: 46.583330, 125.000000" + ] + }, + { + "task": "format_conversion", + "location_name": "Bossangoa", + "source_format": "decimal_degrees", + "source_string": "6.492630, 17.455180", + "target_format": "DMS", + "ground_truth": { + "target_string": "6°29'33.5\"N, 17°27'18.6\"E", + "latitude": 6.49263, + "longitude": 17.45518 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 6.492630, 17.455180", + " Latitude: 6.49263°", + " Longitude: 17.45518°", + "Step 2: Convert latitude to DMS", + " Degrees = 6", + " Minutes = int((6.492630 - 6) × 60) = 29", + " Seconds = ((6.492630 - 6) × 60 - 29) × 60 = 33.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 17", + " Minutes = 27", + " Seconds = 18.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 6°29'33.5\"N, 17°27'18.6\"E", + "FINAL ANSWER: 6°29'33.5\"N, 17°27'18.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Mossamedes", + "source_format": "DMS", + "source_string": "15°11'46.0\"S, 12°9'8.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-15.196110, 12.152220", + "latitude": -15.19611, + "longitude": 12.15222 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 15°11'46.0\"S, 12°9'8.0\"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: -15.19611°", + "Step 4: Calculate longitude", + " Longitude: 12.15222°", + "FINAL ANSWER: -15.196110, 12.152220" + ] + }, + { + "task": "format_conversion", + "location_name": "Hueytown", + "source_format": "decimal_degrees", + "source_string": "33.451220, -86.996660", + "target_format": "DMS", + "ground_truth": { + "target_string": "33°27'4.4\"N, 86°59'48.0\"W", + "latitude": 33.45122, + "longitude": -86.99666 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 33.451220, -86.996660", + " Latitude: 33.45122°", + " Longitude: -86.99666°", + "Step 2: Convert latitude to DMS", + " Degrees = 33", + " Minutes = int((33.451220 - 33) × 60) = 27", + " Seconds = ((33.451220 - 33) × 60 - 27) × 60 = 4.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 86", + " Minutes = 59", + " Seconds = 48.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 33°27'4.4\"N, 86°59'48.0\"W", + "FINAL ANSWER: 33°27'4.4\"N, 86°59'48.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Kot Addu", + "source_format": "decimal_degrees", + "source_string": "30.469070, 70.966990", + "target_format": "DMS", + "ground_truth": { + "target_string": "30°28'8.7\"N, 70°58'1.2\"E", + "latitude": 30.46907, + "longitude": 70.96699 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 30.469070, 70.966990", + " Latitude: 30.46907°", + " Longitude: 70.96699°", + "Step 2: Convert latitude to DMS", + " Degrees = 30", + " Minutes = int((30.469070 - 30) × 60) = 28", + " Seconds = ((30.469070 - 30) × 60 - 28) × 60 = 8.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 70", + " Minutes = 58", + " Seconds = 1.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 30°28'8.7\"N, 70°58'1.2\"E", + "FINAL ANSWER: 30°28'8.7\"N, 70°58'1.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kodaira", + "source_format": "decimal_degrees", + "source_string": "35.726030, 139.485080", + "target_format": "DMS", + "ground_truth": { + "target_string": "35°43'33.7\"N, 139°29'6.3\"E", + "latitude": 35.72603, + "longitude": 139.48508 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 35.726030, 139.485080", + " Latitude: 35.72603°", + " Longitude: 139.48508°", + "Step 2: Convert latitude to DMS", + " Degrees = 35", + " Minutes = int((35.726030 - 35) × 60) = 43", + " Seconds = ((35.726030 - 35) × 60 - 43) × 60 = 33.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 139", + " Minutes = 29", + " Seconds = 6.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 35°43'33.7\"N, 139°29'6.3\"E", + "FINAL ANSWER: 35°43'33.7\"N, 139°29'6.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Ashland", + "source_format": "decimal_degrees", + "source_string": "38.478410, -82.637940", + "target_format": "DMS", + "ground_truth": { + "target_string": "38°28'42.3\"N, 82°38'16.6\"W", + "latitude": 38.47841, + "longitude": -82.63794 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 38.478410, -82.637940", + " Latitude: 38.47841°", + " Longitude: -82.63794°", + "Step 2: Convert latitude to DMS", + " Degrees = 38", + " Minutes = int((38.478410 - 38) × 60) = 28", + " Seconds = ((38.478410 - 38) × 60 - 28) × 60 = 42.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 82", + " Minutes = 38", + " Seconds = 16.6", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 38°28'42.3\"N, 82°38'16.6\"W", + "FINAL ANSWER: 38°28'42.3\"N, 82°38'16.6\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Shaping", + "source_format": "DMS", + "source_string": "22°46'12.7\"N, 112°57'27.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "22.770190, 112.957760", + "latitude": 22.77019, + "longitude": 112.95776 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 22°46'12.7\"N, 112°57'27.9\"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: 22.77019°", + "Step 4: Calculate longitude", + " Longitude: 112.95776°", + "FINAL ANSWER: 22.770190, 112.957760" + ] + }, + { + "task": "format_conversion", + "location_name": "Sinnar", + "source_format": "DMS", + "source_string": "19°50'42.2\"N, 73°59'55.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "19.845050, 73.998660", + "latitude": 19.84505, + "longitude": 73.99866 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 19°50'42.2\"N, 73°59'55.2\"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: 19.84505°", + "Step 4: Calculate longitude", + " Longitude: 73.99866°", + "FINAL ANSWER: 19.845050, 73.998660" + ] + }, + { + "task": "format_conversion", + "location_name": "Kulattuppālaiyam", + "source_format": "decimal_degrees", + "source_string": "10.761330, 77.584250", + "target_format": "DMS", + "ground_truth": { + "target_string": "10°45'40.8\"N, 77°35'3.3\"E", + "latitude": 10.76133, + "longitude": 77.58425 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 10.761330, 77.584250", + " Latitude: 10.76133°", + " Longitude: 77.58425°", + "Step 2: Convert latitude to DMS", + " Degrees = 10", + " Minutes = int((10.761330 - 10) × 60) = 45", + " Seconds = ((10.761330 - 10) × 60 - 45) × 60 = 40.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 77", + " Minutes = 35", + " Seconds = 3.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 10°45'40.8\"N, 77°35'3.3\"E", + "FINAL ANSWER: 10°45'40.8\"N, 77°35'3.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Progreso de Alvaro Obregon", + "source_format": "decimal_degrees", + "source_string": "20.249290, -99.189880", + "target_format": "DMS", + "ground_truth": { + "target_string": "20°14'57.4\"N, 99°11'23.6\"W", + "latitude": 20.24929, + "longitude": -99.18988 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 20.249290, -99.189880", + " Latitude: 20.24929°", + " Longitude: -99.18988°", + "Step 2: Convert latitude to DMS", + " Degrees = 20", + " Minutes = int((20.249290 - 20) × 60) = 14", + " Seconds = ((20.249290 - 20) × 60 - 14) × 60 = 57.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 99", + " Minutes = 11", + " Seconds = 23.6", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 20°14'57.4\"N, 99°11'23.6\"W", + "FINAL ANSWER: 20°14'57.4\"N, 99°11'23.6\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Maicao", + "source_format": "DMS", + "source_string": "11°22'42.1\"N, 72°14'22.2\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "11.378370, -72.239500", + "latitude": 11.37837, + "longitude": -72.2395 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 11°22'42.1\"N, 72°14'22.2\"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: 11.37837°", + "Step 4: Calculate longitude", + " Longitude: -72.2395°", + "FINAL ANSWER: 11.378370, -72.239500" + ] + }, + { + "task": "format_conversion", + "location_name": "Motipur", + "source_format": "decimal_degrees", + "source_string": "26.252670, 85.160760", + "target_format": "DMS", + "ground_truth": { + "target_string": "26°15'9.6\"N, 85°9'38.7\"E", + "latitude": 26.25267, + "longitude": 85.16076 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 26.252670, 85.160760", + " Latitude: 26.25267°", + " Longitude: 85.16076°", + "Step 2: Convert latitude to DMS", + " Degrees = 26", + " Minutes = int((26.252670 - 26) × 60) = 15", + " Seconds = ((26.252670 - 26) × 60 - 15) × 60 = 9.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 85", + " Minutes = 9", + " Seconds = 38.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 26°15'9.6\"N, 85°9'38.7\"E", + "FINAL ANSWER: 26°15'9.6\"N, 85°9'38.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Gbolouville", + "source_format": "decimal_degrees", + "source_string": "5.794080, -4.661270", + "target_format": "DMS", + "ground_truth": { + "target_string": "5°47'38.7\"N, 4°39'40.6\"W", + "latitude": 5.79408, + "longitude": -4.66127 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 5.794080, -4.661270", + " Latitude: 5.79408°", + " Longitude: -4.66127°", + "Step 2: Convert latitude to DMS", + " Degrees = 5", + " Minutes = int((5.794080 - 5) × 60) = 47", + " Seconds = ((5.794080 - 5) × 60 - 47) × 60 = 38.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 4", + " Minutes = 39", + " Seconds = 40.6", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 5°47'38.7\"N, 4°39'40.6\"W", + "FINAL ANSWER: 5°47'38.7\"N, 4°39'40.6\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Xambabazar", + "source_format": "decimal_degrees", + "source_string": "36.886390, 81.509720", + "target_format": "DMS", + "ground_truth": { + "target_string": "36°53'11.0\"N, 81°30'35.0\"E", + "latitude": 36.88639, + "longitude": 81.50972 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 36.886390, 81.509720", + " Latitude: 36.88639°", + " Longitude: 81.50972°", + "Step 2: Convert latitude to DMS", + " Degrees = 36", + " Minutes = int((36.886390 - 36) × 60) = 53", + " Seconds = ((36.886390 - 36) × 60 - 53) × 60 = 11.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 81", + " Minutes = 30", + " Seconds = 35.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 36°53'11.0\"N, 81°30'35.0\"E", + "FINAL ANSWER: 36°53'11.0\"N, 81°30'35.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Bexley", + "source_format": "DMS", + "source_string": "51°26'29.8\"N, 0°8'55.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "51.441620, 0.148660", + "latitude": 51.44162, + "longitude": 0.14866 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 51°26'29.8\"N, 0°8'55.2\"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: 51.44162°", + "Step 4: Calculate longitude", + " Longitude: 0.14866°", + "FINAL ANSWER: 51.441620, 0.148660" + ] + }, + { + "task": "format_conversion", + "location_name": "Madhira", + "source_format": "DMS", + "source_string": "16°55'23.8\"N, 80°21'47.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "16.923290, 80.363080", + "latitude": 16.92329, + "longitude": 80.36308 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 16°55'23.8\"N, 80°21'47.1\"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: 16.92329°", + "Step 4: Calculate longitude", + " Longitude: 80.36308°", + "FINAL ANSWER: 16.923290, 80.363080" + ] + }, + { + "task": "format_conversion", + "location_name": "Buy", + "source_format": "decimal_degrees", + "source_string": "58.479590, 41.535870", + "target_format": "DMS", + "ground_truth": { + "target_string": "58°28'46.5\"N, 41°32'9.1\"E", + "latitude": 58.47959, + "longitude": 41.53587 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 58.479590, 41.535870", + " Latitude: 58.47959°", + " Longitude: 41.53587°", + "Step 2: Convert latitude to DMS", + " Degrees = 58", + " Minutes = int((58.479590 - 58) × 60) = 28", + " Seconds = ((58.479590 - 58) × 60 - 28) × 60 = 46.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 41", + " Minutes = 32", + " Seconds = 9.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 58°28'46.5\"N, 41°32'9.1\"E", + "FINAL ANSWER: 58°28'46.5\"N, 41°32'9.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Huercal-Overa", + "source_format": "DMS", + "source_string": "37°23'21.0\"N, 1°56'34.8\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "37.389180, -1.943000", + "latitude": 37.38918, + "longitude": -1.943 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 37°23'21.0\"N, 1°56'34.8\"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: 37.38918°", + "Step 4: Calculate longitude", + " Longitude: -1.943°", + "FINAL ANSWER: 37.389180, -1.943000" + ] + }, + { + "task": "format_conversion", + "location_name": "Jinjiang", + "source_format": "DMS", + "source_string": "19°43'43.6\"N, 110°0'30.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "19.728780, 110.008510", + "latitude": 19.72878, + "longitude": 110.00851 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 19°43'43.6\"N, 110°0'30.6\"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: 19.72878°", + "Step 4: Calculate longitude", + " Longitude: 110.00851°", + "FINAL ANSWER: 19.728780, 110.008510" + ] + }, + { + "task": "format_conversion", + "location_name": "Takeo", + "source_format": "DMS", + "source_string": "33°11'24.3\"N, 130°1'15.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "33.190090, 130.020840", + "latitude": 33.19009, + "longitude": 130.02084 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 33°11'24.3\"N, 130°1'15.0\"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: 33.19009°", + "Step 4: Calculate longitude", + " Longitude: 130.02084°", + "FINAL ANSWER: 33.190090, 130.020840" + ] + }, + { + "task": "format_conversion", + "location_name": "Buikwe", + "source_format": "DMS", + "source_string": "0°20'15.0\"N, 33°0'38.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "0.337500, 33.010560", + "latitude": 0.3375, + "longitude": 33.01056 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 0°20'15.0\"N, 33°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: 0.3375°", + "Step 4: Calculate longitude", + " Longitude: 33.01056°", + "FINAL ANSWER: 0.337500, 33.010560" + ] + }, + { + "task": "format_conversion", + "location_name": "Āreka", + "source_format": "decimal_degrees", + "source_string": "7.066670, 37.700000", + "target_format": "DMS", + "ground_truth": { + "target_string": "7°4'0.0\"N, 37°42'0.0\"E", + "latitude": 7.06667, + "longitude": 37.7 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 7.066670, 37.700000", + " Latitude: 7.06667°", + " Longitude: 37.7°", + "Step 2: Convert latitude to DMS", + " Degrees = 7", + " Minutes = int((7.066670 - 7) × 60) = 4", + " Seconds = ((7.066670 - 7) × 60 - 4) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 37", + " Minutes = 42", + " Seconds = 0.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 7°4'0.0\"N, 37°42'0.0\"E", + "FINAL ANSWER: 7°4'0.0\"N, 37°42'0.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Llandudno", + "source_format": "decimal_degrees", + "source_string": "53.324980, -3.831480", + "target_format": "DMS", + "ground_truth": { + "target_string": "53°19'29.9\"N, 3°49'53.3\"W", + "latitude": 53.32498, + "longitude": -3.83148 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 53.324980, -3.831480", + " Latitude: 53.32498°", + " Longitude: -3.83148°", + "Step 2: Convert latitude to DMS", + " Degrees = 53", + " Minutes = int((53.324980 - 53) × 60) = 19", + " Seconds = ((53.324980 - 53) × 60 - 19) × 60 = 29.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 3", + " Minutes = 49", + " Seconds = 53.3", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 53°19'29.9\"N, 3°49'53.3\"W", + "FINAL ANSWER: 53°19'29.9\"N, 3°49'53.3\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Vatutino", + "source_format": "DMS", + "source_string": "55°53'3.9\"N, 37°41'26.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "55.884410, 37.690550", + "latitude": 55.88441, + "longitude": 37.69055 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 55°53'3.9\"N, 37°41'26.0\"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: 55.88441°", + "Step 4: Calculate longitude", + " Longitude: 37.69055°", + "FINAL ANSWER: 55.884410, 37.690550" + ] + }, + { + "task": "format_conversion", + "location_name": "Virār", + "source_format": "DMS", + "source_string": "19°27'21.3\"N, 72°48'40.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "19.455910, 72.811360", + "latitude": 19.45591, + "longitude": 72.81136 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 19°27'21.3\"N, 72°48'40.9\"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: 19.45591°", + "Step 4: Calculate longitude", + " Longitude: 72.81136°", + "FINAL ANSWER: 19.455910, 72.811360" + ] + }, + { + "task": "format_conversion", + "location_name": "Saugor", + "source_format": "decimal_degrees", + "source_string": "23.838770, 78.738740", + "target_format": "DMS", + "ground_truth": { + "target_string": "23°50'19.6\"N, 78°44'19.5\"E", + "latitude": 23.83877, + "longitude": 78.73874 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 23.838770, 78.738740", + " Latitude: 23.83877°", + " Longitude: 78.73874°", + "Step 2: Convert latitude to DMS", + " Degrees = 23", + " Minutes = int((23.838770 - 23) × 60) = 50", + " Seconds = ((23.838770 - 23) × 60 - 50) × 60 = 19.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 78", + " Minutes = 44", + " Seconds = 19.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 23°50'19.6\"N, 78°44'19.5\"E", + "FINAL ANSWER: 23°50'19.6\"N, 78°44'19.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Bonon", + "source_format": "decimal_degrees", + "source_string": "6.926800, -6.048900", + "target_format": "DMS", + "ground_truth": { + "target_string": "6°55'36.5\"N, 6°2'56.0\"W", + "latitude": 6.9268, + "longitude": -6.0489 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 6.926800, -6.048900", + " Latitude: 6.9268°", + " Longitude: -6.0489°", + "Step 2: Convert latitude to DMS", + " Degrees = 6", + " Minutes = int((6.926800 - 6) × 60) = 55", + " Seconds = ((6.926800 - 6) × 60 - 55) × 60 = 36.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 6", + " Minutes = 2", + " Seconds = 56.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 6°55'36.5\"N, 6°2'56.0\"W", + "FINAL ANSWER: 6°55'36.5\"N, 6°2'56.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Alaghsas", + "source_format": "DMS", + "source_string": "17°1'7.3\"N, 8°1'0.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "17.018700, 8.016800", + "latitude": 17.0187, + "longitude": 8.0168 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 17°1'7.3\"N, 8°1'0.5\"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: 17.0187°", + "Step 4: Calculate longitude", + " Longitude: 8.0168°", + "FINAL ANSWER: 17.018700, 8.016800" + ] + }, + { + "task": "format_conversion", + "location_name": "Daxu", + "source_format": "decimal_degrees", + "source_string": "34.282390, 117.552660", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°16'56.6\"N, 117°33'9.6\"E", + "latitude": 34.28239, + "longitude": 117.55266 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 34.282390, 117.552660", + " Latitude: 34.28239°", + " Longitude: 117.55266°", + "Step 2: Convert latitude to DMS", + " Degrees = 34", + " Minutes = int((34.282390 - 34) × 60) = 16", + " Seconds = ((34.282390 - 34) × 60 - 16) × 60 = 56.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 117", + " Minutes = 33", + " Seconds = 9.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 34°16'56.6\"N, 117°33'9.6\"E", + "FINAL ANSWER: 34°16'56.6\"N, 117°33'9.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Tala", + "source_format": "decimal_degrees", + "source_string": "20.652670, -103.701480", + "target_format": "DMS", + "ground_truth": { + "target_string": "20°39'9.6\"N, 103°42'5.3\"W", + "latitude": 20.65267, + "longitude": -103.70148 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 20.652670, -103.701480", + " Latitude: 20.65267°", + " Longitude: -103.70148°", + "Step 2: Convert latitude to DMS", + " Degrees = 20", + " Minutes = int((20.652670 - 20) × 60) = 39", + " Seconds = ((20.652670 - 20) × 60 - 39) × 60 = 9.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 103", + " Minutes = 42", + " Seconds = 5.3", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 20°39'9.6\"N, 103°42'5.3\"W", + "FINAL ANSWER: 20°39'9.6\"N, 103°42'5.3\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Ettumanoor", + "source_format": "DMS", + "source_string": "9°40'12.0\"N, 76°34'12.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "9.670000, 76.570000", + "latitude": 9.67, + "longitude": 76.57 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 9°40'12.0\"N, 76°34'12.0\"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: 9.67°", + "Step 4: Calculate longitude", + " Longitude: 76.57°", + "FINAL ANSWER: 9.670000, 76.570000" + ] + }, + { + "task": "format_conversion", + "location_name": "Tha Mai", + "source_format": "DMS", + "source_string": "12°37'16.9\"N, 102°0'17.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "12.621370, 102.004810", + "latitude": 12.62137, + "longitude": 102.00481 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 12°37'16.9\"N, 102°0'17.3\"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: 12.62137°", + "Step 4: Calculate longitude", + " Longitude: 102.00481°", + "FINAL ANSWER: 12.621370, 102.004810" + ] + }, + { + "task": "format_conversion", + "location_name": "Itabashi", + "source_format": "decimal_degrees", + "source_string": "35.748930, 139.714970", + "target_format": "DMS", + "ground_truth": { + "target_string": "35°44'56.1\"N, 139°42'53.9\"E", + "latitude": 35.74893, + "longitude": 139.71497 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 35.748930, 139.714970", + " Latitude: 35.74893°", + " Longitude: 139.71497°", + "Step 2: Convert latitude to DMS", + " Degrees = 35", + " Minutes = int((35.748930 - 35) × 60) = 44", + " Seconds = ((35.748930 - 35) × 60 - 44) × 60 = 56.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 139", + " Minutes = 42", + " Seconds = 53.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 35°44'56.1\"N, 139°42'53.9\"E", + "FINAL ANSWER: 35°44'56.1\"N, 139°42'53.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Palmerston North", + "source_format": "decimal_degrees", + "source_string": "-40.356360, 175.611130", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°21'22.9\"S, 175°36'40.1\"E", + "latitude": -40.35636, + "longitude": 175.61113 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -40.356360, 175.611130", + " Latitude: -40.35636°", + " Longitude: 175.61113°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.356360 - 40) × 60) = 21", + " Seconds = ((40.356360 - 40) × 60 - 21) × 60 = 22.9", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 175", + " Minutes = 36", + " Seconds = 40.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 40°21'22.9\"S, 175°36'40.1\"E", + "FINAL ANSWER: 40°21'22.9\"S, 175°36'40.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Dodoma", + "source_format": "decimal_degrees", + "source_string": "-6.172210, 35.739470", + "target_format": "DMS", + "ground_truth": { + "target_string": "6°10'20.0\"S, 35°44'22.1\"E", + "latitude": -6.17221, + "longitude": 35.73947 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -6.172210, 35.739470", + " Latitude: -6.17221°", + " Longitude: 35.73947°", + "Step 2: Convert latitude to DMS", + " Degrees = 6", + " Minutes = int((6.172210 - 6) × 60) = 10", + " Seconds = ((6.172210 - 6) × 60 - 10) × 60 = 20.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 35", + " Minutes = 44", + " Seconds = 22.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 6°10'20.0\"S, 35°44'22.1\"E", + "FINAL ANSWER: 6°10'20.0\"S, 35°44'22.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Nanaku", + "source_format": "decimal_degrees", + "source_string": "40.400890, 141.272710", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°24'3.2\"N, 141°16'21.8\"E", + "latitude": 40.40089, + "longitude": 141.27271 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.400890, 141.272710", + " Latitude: 40.40089°", + " Longitude: 141.27271°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.400890 - 40) × 60) = 24", + " Seconds = ((40.400890 - 40) × 60 - 24) × 60 = 3.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 141", + " Minutes = 16", + " Seconds = 21.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 40°24'3.2\"N, 141°16'21.8\"E", + "FINAL ANSWER: 40°24'3.2\"N, 141°16'21.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Old City", + "source_format": "DMS", + "source_string": "31°46'36.0\"N, 35°14'3.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "31.776670, 35.234170", + "latitude": 31.77667, + "longitude": 35.23417 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 31°46'36.0\"N, 35°14'3.0\"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: 31.77667°", + "Step 4: Calculate longitude", + " Longitude: 35.23417°", + "FINAL ANSWER: 31.776670, 35.234170" + ] + }, + { + "task": "format_conversion", + "location_name": "Kumta", + "source_format": "DMS", + "source_string": "14°25'42.7\"N, 74°25'8.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "14.428530, 74.418900", + "latitude": 14.42853, + "longitude": 74.4189 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 14°25'42.7\"N, 74°25'8.0\"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: 14.42853°", + "Step 4: Calculate longitude", + " Longitude: 74.4189°", + "FINAL ANSWER: 14.428530, 74.418900" + ] + }, + { + "task": "format_conversion", + "location_name": "Votorantim", + "source_format": "decimal_degrees", + "source_string": "-23.546670, -47.437780", + "target_format": "DMS", + "ground_truth": { + "target_string": "23°32'48.0\"S, 47°26'16.0\"W", + "latitude": -23.54667, + "longitude": -47.43778 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -23.546670, -47.437780", + " Latitude: -23.54667°", + " Longitude: -47.43778°", + "Step 2: Convert latitude to DMS", + " Degrees = 23", + " Minutes = int((23.546670 - 23) × 60) = 32", + " Seconds = ((23.546670 - 23) × 60 - 32) × 60 = 48.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 47", + " Minutes = 26", + " Seconds = 16.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 23°32'48.0\"S, 47°26'16.0\"W", + "FINAL ANSWER: 23°32'48.0\"S, 47°26'16.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Hayes", + "source_format": "decimal_degrees", + "source_string": "51.377860, 0.016820", + "target_format": "DMS", + "ground_truth": { + "target_string": "51°22'40.3\"N, 0°1'0.6\"E", + "latitude": 51.37786, + "longitude": 0.01682 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 51.377860, 0.016820", + " Latitude: 51.37786°", + " Longitude: 0.01682°", + "Step 2: Convert latitude to DMS", + " Degrees = 51", + " Minutes = int((51.377860 - 51) × 60) = 22", + " Seconds = ((51.377860 - 51) × 60 - 22) × 60 = 40.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 0", + " Minutes = 1", + " Seconds = 0.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 51°22'40.3\"N, 0°1'0.6\"E", + "FINAL ANSWER: 51°22'40.3\"N, 0°1'0.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Budapest XVII. kerület", + "source_format": "DMS", + "source_string": "47°28'47.9\"N, 19°15'14.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "47.479970, 19.253880", + "latitude": 47.47997, + "longitude": 19.25388 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 47°28'47.9\"N, 19°15'14.0\"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: 47.47997°", + "Step 4: Calculate longitude", + " Longitude: 19.25388°", + "FINAL ANSWER: 47.479970, 19.253880" + ] + }, + { + "task": "format_conversion", + "location_name": "Río de Teapa", + "source_format": "decimal_degrees", + "source_string": "17.774730, -92.902170", + "target_format": "DMS", + "ground_truth": { + "target_string": "17°46'29.0\"N, 92°54'7.8\"W", + "latitude": 17.77473, + "longitude": -92.90217 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 17.774730, -92.902170", + " Latitude: 17.77473°", + " Longitude: -92.90217°", + "Step 2: Convert latitude to DMS", + " Degrees = 17", + " Minutes = int((17.774730 - 17) × 60) = 46", + " Seconds = ((17.774730 - 17) × 60 - 46) × 60 = 29.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 92", + " Minutes = 54", + " Seconds = 7.8", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 17°46'29.0\"N, 92°54'7.8\"W", + "FINAL ANSWER: 17°46'29.0\"N, 92°54'7.8\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Punjai Puliyampatti", + "source_format": "decimal_degrees", + "source_string": "11.351630, 77.166710", + "target_format": "DMS", + "ground_truth": { + "target_string": "11°21'5.9\"N, 77°10'0.2\"E", + "latitude": 11.35163, + "longitude": 77.16671 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 11.351630, 77.166710", + " Latitude: 11.35163°", + " Longitude: 77.16671°", + "Step 2: Convert latitude to DMS", + " Degrees = 11", + " Minutes = int((11.351630 - 11) × 60) = 21", + " Seconds = ((11.351630 - 11) × 60 - 21) × 60 = 5.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 77", + " Minutes = 10", + " Seconds = 0.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 11°21'5.9\"N, 77°10'0.2\"E", + "FINAL ANSWER: 11°21'5.9\"N, 77°10'0.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Yamatokōriyama", + "source_format": "DMS", + "source_string": "34°36'23.7\"N, 135°46'13.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "34.606580, 135.770330", + "latitude": 34.60658, + "longitude": 135.77033 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 34°36'23.7\"N, 135°46'13.2\"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: 34.60658°", + "Step 4: Calculate longitude", + " Longitude: 135.77033°", + "FINAL ANSWER: 34.606580, 135.770330" + ] + }, + { + "task": "format_conversion", + "location_name": "Copenhagen", + "source_format": "decimal_degrees", + "source_string": "55.675940, 12.565530", + "target_format": "DMS", + "ground_truth": { + "target_string": "55°40'33.4\"N, 12°33'55.9\"E", + "latitude": 55.67594, + "longitude": 12.56553 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 55.675940, 12.565530", + " Latitude: 55.67594°", + " Longitude: 12.56553°", + "Step 2: Convert latitude to DMS", + " Degrees = 55", + " Minutes = int((55.675940 - 55) × 60) = 40", + " Seconds = ((55.675940 - 55) × 60 - 40) × 60 = 33.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 12", + " Minutes = 33", + " Seconds = 55.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 55°40'33.4\"N, 12°33'55.9\"E", + "FINAL ANSWER: 55°40'33.4\"N, 12°33'55.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Tochigi", + "source_format": "decimal_degrees", + "source_string": "36.383330, 139.733330", + "target_format": "DMS", + "ground_truth": { + "target_string": "36°22'60.0\"N, 139°43'60.0\"E", + "latitude": 36.38333, + "longitude": 139.73333 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 36.383330, 139.733330", + " Latitude: 36.38333°", + " Longitude: 139.73333°", + "Step 2: Convert latitude to DMS", + " Degrees = 36", + " Minutes = int((36.383330 - 36) × 60) = 22", + " Seconds = ((36.383330 - 36) × 60 - 22) × 60 = 60.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 139", + " Minutes = 43", + " Seconds = 60.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 36°22'60.0\"N, 139°43'60.0\"E", + "FINAL ANSWER: 36°22'60.0\"N, 139°43'60.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kyain Seikgyi Township", + "source_format": "decimal_degrees", + "source_string": "15.822880, 98.252570", + "target_format": "DMS", + "ground_truth": { + "target_string": "15°49'22.4\"N, 98°15'9.3\"E", + "latitude": 15.82288, + "longitude": 98.25257 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 15.822880, 98.252570", + " Latitude: 15.82288°", + " Longitude: 98.25257°", + "Step 2: Convert latitude to DMS", + " Degrees = 15", + " Minutes = int((15.822880 - 15) × 60) = 49", + " Seconds = ((15.822880 - 15) × 60 - 49) × 60 = 22.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 98", + " Minutes = 15", + " Seconds = 9.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 15°49'22.4\"N, 98°15'9.3\"E", + "FINAL ANSWER: 15°49'22.4\"N, 98°15'9.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Laudio / Llodio", + "source_format": "DMS", + "source_string": "43°8'35.6\"N, 2°57'43.3\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "43.143220, -2.962040", + "latitude": 43.14322, + "longitude": -2.96204 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 43°8'35.6\"N, 2°57'43.3\"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: 43.14322°", + "Step 4: Calculate longitude", + " Longitude: -2.96204°", + "FINAL ANSWER: 43.143220, -2.962040" + ] + }, + { + "task": "format_conversion", + "location_name": "Koch'ang", + "source_format": "decimal_degrees", + "source_string": "35.433330, 126.700000", + "target_format": "DMS", + "ground_truth": { + "target_string": "35°25'60.0\"N, 126°42'0.0\"E", + "latitude": 35.43333, + "longitude": 126.7 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 35.433330, 126.700000", + " Latitude: 35.43333°", + " Longitude: 126.7°", + "Step 2: Convert latitude to DMS", + " Degrees = 35", + " Minutes = int((35.433330 - 35) × 60) = 25", + " Seconds = ((35.433330 - 35) × 60 - 25) × 60 = 60.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 126", + " Minutes = 42", + " Seconds = 0.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 35°25'60.0\"N, 126°42'0.0\"E", + "FINAL ANSWER: 35°25'60.0\"N, 126°42'0.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Changling", + "source_format": "decimal_degrees", + "source_string": "44.272950, 123.975590", + "target_format": "DMS", + "ground_truth": { + "target_string": "44°16'22.6\"N, 123°58'32.1\"E", + "latitude": 44.27295, + "longitude": 123.97559 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 44.272950, 123.975590", + " Latitude: 44.27295°", + " Longitude: 123.97559°", + "Step 2: Convert latitude to DMS", + " Degrees = 44", + " Minutes = int((44.272950 - 44) × 60) = 16", + " Seconds = ((44.272950 - 44) × 60 - 16) × 60 = 22.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 123", + " Minutes = 58", + " Seconds = 32.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 44°16'22.6\"N, 123°58'32.1\"E", + "FINAL ANSWER: 44°16'22.6\"N, 123°58'32.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Rijswijk", + "source_format": "decimal_degrees", + "source_string": "52.036340, 4.325010", + "target_format": "DMS", + "ground_truth": { + "target_string": "52°2'10.8\"N, 4°19'30.0\"E", + "latitude": 52.03634, + "longitude": 4.32501 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 52.036340, 4.325010", + " Latitude: 52.03634°", + " Longitude: 4.32501°", + "Step 2: Convert latitude to DMS", + " Degrees = 52", + " Minutes = int((52.036340 - 52) × 60) = 2", + " Seconds = ((52.036340 - 52) × 60 - 2) × 60 = 10.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 4", + " Minutes = 19", + " Seconds = 30.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 52°2'10.8\"N, 4°19'30.0\"E", + "FINAL ANSWER: 52°2'10.8\"N, 4°19'30.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Vratsa", + "source_format": "DMS", + "source_string": "43°12'37.9\"N, 23°33'47.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "43.210520, 23.563120", + "latitude": 43.21052, + "longitude": 23.56312 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 43°12'37.9\"N, 23°33'47.2\"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: 43.21052°", + "Step 4: Calculate longitude", + " Longitude: 23.56312°", + "FINAL ANSWER: 43.210520, 23.563120" + ] + }, + { + "task": "format_conversion", + "location_name": "Miskolc", + "source_format": "DMS", + "source_string": "48°6'11.8\"N, 20°46'41.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "48.103270, 20.778060", + "latitude": 48.10327, + "longitude": 20.77806 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 48°6'11.8\"N, 20°46'41.0\"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: 48.10327°", + "Step 4: Calculate longitude", + " Longitude: 20.77806°", + "FINAL ANSWER: 48.103270, 20.778060" + ] + }, + { + "task": "format_conversion", + "location_name": "Kórinthos", + "source_format": "decimal_degrees", + "source_string": "37.940070, 22.951300", + "target_format": "DMS", + "ground_truth": { + "target_string": "37°56'24.3\"N, 22°57'4.7\"E", + "latitude": 37.94007, + "longitude": 22.9513 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 37.940070, 22.951300", + " Latitude: 37.94007°", + " Longitude: 22.9513°", + "Step 2: Convert latitude to DMS", + " Degrees = 37", + " Minutes = int((37.940070 - 37) × 60) = 56", + " Seconds = ((37.940070 - 37) × 60 - 56) × 60 = 24.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 22", + " Minutes = 57", + " Seconds = 4.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 37°56'24.3\"N, 22°57'4.7\"E", + "FINAL ANSWER: 37°56'24.3\"N, 22°57'4.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Cubal", + "source_format": "DMS", + "source_string": "13°2'19.1\"S, 14°14'43.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-13.038650, 14.245500", + "latitude": -13.03865, + "longitude": 14.2455 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 13°2'19.1\"S, 14°14'43.8\"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: -13.03865°", + "Step 4: Calculate longitude", + " Longitude: 14.2455°", + "FINAL ANSWER: -13.038650, 14.245500" + ] + }, + { + "task": "format_conversion", + "location_name": "Jauja", + "source_format": "decimal_degrees", + "source_string": "-11.775840, -75.496560", + "target_format": "DMS", + "ground_truth": { + "target_string": "11°46'33.0\"S, 75°29'47.6\"W", + "latitude": -11.77584, + "longitude": -75.49656 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -11.775840, -75.496560", + " Latitude: -11.77584°", + " Longitude: -75.49656°", + "Step 2: Convert latitude to DMS", + " Degrees = 11", + " Minutes = int((11.775840 - 11) × 60) = 46", + " Seconds = ((11.775840 - 11) × 60 - 46) × 60 = 33.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 75", + " Minutes = 29", + " Seconds = 47.6", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 11°46'33.0\"S, 75°29'47.6\"W", + "FINAL ANSWER: 11°46'33.0\"S, 75°29'47.6\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Katanawa", + "source_format": "decimal_degrees", + "source_string": "33.521110, 130.424440", + "target_format": "DMS", + "ground_truth": { + "target_string": "33°31'16.0\"N, 130°25'28.0\"E", + "latitude": 33.52111, + "longitude": 130.42444 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 33.521110, 130.424440", + " Latitude: 33.52111°", + " Longitude: 130.42444°", + "Step 2: Convert latitude to DMS", + " Degrees = 33", + " Minutes = int((33.521110 - 33) × 60) = 31", + " Seconds = ((33.521110 - 33) × 60 - 31) × 60 = 16.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 130", + " Minutes = 25", + " Seconds = 28.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 33°31'16.0\"N, 130°25'28.0\"E", + "FINAL ANSWER: 33°31'16.0\"N, 130°25'28.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Pālaiyampatti", + "source_format": "DMS", + "source_string": "9°32'21.2\"N, 78°5'54.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "9.539210, 78.098430", + "latitude": 9.53921, + "longitude": 78.09843 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 9°32'21.2\"N, 78°5'54.3\"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: 9.53921°", + "Step 4: Calculate longitude", + " Longitude: 78.09843°", + "FINAL ANSWER: 9.539210, 78.098430" + ] + }, + { + "task": "format_conversion", + "location_name": "Springdale", + "source_format": "DMS", + "source_string": "36°11'12.3\"N, 94°7'43.7\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "36.186740, -94.128810", + "latitude": 36.18674, + "longitude": -94.12881 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 36°11'12.3\"N, 94°7'43.7\"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: 36.18674°", + "Step 4: Calculate longitude", + " Longitude: -94.12881°", + "FINAL ANSWER: 36.186740, -94.128810" + ] + }, + { + "task": "format_conversion", + "location_name": "Jōyō", + "source_format": "DMS", + "source_string": "34°50'38.3\"N, 135°48'20.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "34.843960, 135.805610", + "latitude": 34.84396, + "longitude": 135.80561 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 34°50'38.3\"N, 135°48'20.2\"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: 34.84396°", + "Step 4: Calculate longitude", + " Longitude: 135.80561°", + "FINAL ANSWER: 34.843960, 135.805610" + ] + }, + { + "task": "format_conversion", + "location_name": "Pilar", + "source_format": "decimal_degrees", + "source_string": "-34.458670, -58.913980", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°27'31.2\"S, 58°54'50.3\"W", + "latitude": -34.45867, + "longitude": -58.91398 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -34.458670, -58.913980", + " Latitude: -34.45867°", + " Longitude: -58.91398°", + "Step 2: Convert latitude to DMS", + " Degrees = 34", + " Minutes = int((34.458670 - 34) × 60) = 27", + " Seconds = ((34.458670 - 34) × 60 - 27) × 60 = 31.2", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 58", + " Minutes = 54", + " Seconds = 50.3", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 34°27'31.2\"S, 58°54'50.3\"W", + "FINAL ANSWER: 34°27'31.2\"S, 58°54'50.3\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Gao", + "source_format": "DMS", + "source_string": "16°16'18.0\"N, 0°2'41.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "16.271670, -0.044720", + "latitude": 16.27167, + "longitude": -0.04472 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 16°16'18.0\"N, 0°2'41.0\"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: 16.27167°", + "Step 4: Calculate longitude", + " Longitude: -0.04472°", + "FINAL ANSWER: 16.271670, -0.044720" + ] + }, + { + "task": "format_conversion", + "location_name": "Morley", + "source_format": "DMS", + "source_string": "53°44'24.5\"N, 1°35'55.6\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "53.740130, -1.598770", + "latitude": 53.74013, + "longitude": -1.59877 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 53°44'24.5\"N, 1°35'55.6\"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: 53.74013°", + "Step 4: Calculate longitude", + " Longitude: -1.59877°", + "FINAL ANSWER: 53.740130, -1.598770" + ] + }, + { + "task": "format_conversion", + "location_name": "Cambrai", + "source_format": "DMS", + "source_string": "50°10'33.5\"N, 3°14'5.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "50.175960, 3.234720", + "latitude": 50.17596, + "longitude": 3.23472 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 50°10'33.5\"N, 3°14'5.0\"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: 50.17596°", + "Step 4: Calculate longitude", + " Longitude: 3.23472°", + "FINAL ANSWER: 50.175960, 3.234720" + ] + }, + { + "task": "format_conversion", + "location_name": "Shizilu", + "source_format": "DMS", + "source_string": "35°10'16.0\"N, 118°49'44.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "35.171110, 118.828890", + "latitude": 35.17111, + "longitude": 118.82889 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 35°10'16.0\"N, 118°49'44.0\"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: 35.17111°", + "Step 4: Calculate longitude", + " Longitude: 118.82889°", + "FINAL ANSWER: 35.171110, 118.828890" + ] + }, + { + "task": "format_conversion", + "location_name": "Shandan", + "source_format": "DD", + "source_string": "34.751060, 104.831340", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°45'3.8\"N, 104°49'52.8\"E", + "latitude": 34.75106, + "longitude": 104.83134 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: 34.751060, 104.831340", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 34°45'3.8\"N, 104°49'52.8\"E", + "FINAL ANSWER: 34°45'3.8\"N, 104°49'52.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Baturaja", + "source_format": "decimal_degrees", + "source_string": "-4.128910, 104.166950", + "target_format": "DMS", + "ground_truth": { + "target_string": "4°7'44.1\"S, 104°10'1.0\"E", + "latitude": -4.12891, + "longitude": 104.16695 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -4.128910, 104.166950", + " Latitude: -4.12891°", + " Longitude: 104.16695°", + "Step 2: Convert latitude to DMS", + " Degrees = 4", + " Minutes = int((4.128910 - 4) × 60) = 7", + " Seconds = ((4.128910 - 4) × 60 - 7) × 60 = 44.1", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 104", + " Minutes = 10", + " Seconds = 1.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 4°7'44.1\"S, 104°10'1.0\"E", + "FINAL ANSWER: 4°7'44.1\"S, 104°10'1.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Irpin", + "source_format": "DMS", + "source_string": "50°31'18.3\"N, 30°15'2.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "50.521750, 30.250550", + "latitude": 50.52175, + "longitude": 30.25055 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 50°31'18.3\"N, 30°15'2.0\"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: 50.52175°", + "Step 4: Calculate longitude", + " Longitude: 30.25055°", + "FINAL ANSWER: 50.521750, 30.250550" + ] + }, + { + "task": "format_conversion", + "location_name": "Model Town", + "source_format": "DMS", + "source_string": "31°28'51.7\"N, 74°19'32.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "31.481040, 74.325630", + "latitude": 31.48104, + "longitude": 74.32563 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 31°28'51.7\"N, 74°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: 31.48104°", + "Step 4: Calculate longitude", + " Longitude: 74.32563°", + "FINAL ANSWER: 31.481040, 74.325630" + ] + }, + { + "task": "format_conversion", + "location_name": "Mutang", + "source_format": "DMS", + "source_string": "19°48'27.2\"N, 109°20'43.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "19.807550, 109.345390", + "latitude": 19.80755, + "longitude": 109.34539 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 19°48'27.2\"N, 109°20'43.4\"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: 19.80755°", + "Step 4: Calculate longitude", + " Longitude: 109.34539°", + "FINAL ANSWER: 19.807550, 109.345390" + ] + }, + { + "task": "format_conversion", + "location_name": "Carinhanha", + "source_format": "decimal_degrees", + "source_string": "-14.304720, -43.765000", + "target_format": "DMS", + "ground_truth": { + "target_string": "14°18'17.0\"S, 43°45'54.0\"W", + "latitude": -14.30472, + "longitude": -43.765 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -14.304720, -43.765000", + " Latitude: -14.30472°", + " Longitude: -43.765°", + "Step 2: Convert latitude to DMS", + " Degrees = 14", + " Minutes = int((14.304720 - 14) × 60) = 18", + " Seconds = ((14.304720 - 14) × 60 - 18) × 60 = 17.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 43", + " Minutes = 45", + " Seconds = 54.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 14°18'17.0\"S, 43°45'54.0\"W", + "FINAL ANSWER: 14°18'17.0\"S, 43°45'54.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Manāwar", + "source_format": "DMS", + "source_string": "22°14'8.4\"N, 75°5'21.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "22.235660, 75.089170", + "latitude": 22.23566, + "longitude": 75.08917 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 22°14'8.4\"N, 75°5'21.0\"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: 22.23566°", + "Step 4: Calculate longitude", + " Longitude: 75.08917°", + "FINAL ANSWER: 22.235660, 75.089170" + ] + }, + { + "task": "format_conversion", + "location_name": "Presidente Tancredo Neves", + "source_format": "DMS", + "source_string": "13°27'10.3\"S, 39°25'14.9\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-13.452870, -39.420800", + "latitude": -13.45287, + "longitude": -39.4208 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 13°27'10.3\"S, 39°25'14.9\"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: -13.45287°", + "Step 4: Calculate longitude", + " Longitude: -39.4208°", + "FINAL ANSWER: -13.452870, -39.420800" + ] + }, + { + "task": "format_conversion", + "location_name": "Santa Lucía", + "source_format": "decimal_degrees", + "source_string": "-31.540550, -68.497940", + "target_format": "DMS", + "ground_truth": { + "target_string": "31°32'26.0\"S, 68°29'52.6\"W", + "latitude": -31.54055, + "longitude": -68.49794 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -31.540550, -68.497940", + " Latitude: -31.54055°", + " Longitude: -68.49794°", + "Step 2: Convert latitude to DMS", + " Degrees = 31", + " Minutes = int((31.540550 - 31) × 60) = 32", + " Seconds = ((31.540550 - 31) × 60 - 32) × 60 = 26.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 68", + " Minutes = 29", + " Seconds = 52.6", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 31°32'26.0\"S, 68°29'52.6\"W", + "FINAL ANSWER: 31°32'26.0\"S, 68°29'52.6\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Exmouth", + "source_format": "DMS", + "source_string": "50°37'2.0\"N, 3°24'8.4\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "50.617230, -3.402330", + "latitude": 50.61723, + "longitude": -3.40233 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 50°37'2.0\"N, 3°24'8.4\"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: 50.61723°", + "Step 4: Calculate longitude", + " Longitude: -3.40233°", + "FINAL ANSWER: 50.617230, -3.402330" + ] + }, + { + "task": "format_conversion", + "location_name": "Snizhne", + "source_format": "decimal_degrees", + "source_string": "48.026120, 38.772250", + "target_format": "DMS", + "ground_truth": { + "target_string": "48°1'34.0\"N, 38°46'20.1\"E", + "latitude": 48.02612, + "longitude": 38.77225 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 48.026120, 38.772250", + " Latitude: 48.02612°", + " Longitude: 38.77225°", + "Step 2: Convert latitude to DMS", + " Degrees = 48", + " Minutes = int((48.026120 - 48) × 60) = 1", + " Seconds = ((48.026120 - 48) × 60 - 1) × 60 = 34.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 38", + " Minutes = 46", + " Seconds = 20.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 48°1'34.0\"N, 38°46'20.1\"E", + "FINAL ANSWER: 48°1'34.0\"N, 38°46'20.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Long Xuyên", + "source_format": "DMS", + "source_string": "10°23'11.0\"N, 105°26'6.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "10.386390, 105.435180", + "latitude": 10.38639, + "longitude": 105.43518 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 10°23'11.0\"N, 105°26'6.6\"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: 10.38639°", + "Step 4: Calculate longitude", + " Longitude: 105.43518°", + "FINAL ANSWER: 10.386390, 105.435180" + ] + }, + { + "task": "format_conversion", + "location_name": "Longfeng", + "source_format": "decimal_degrees", + "source_string": "46.531680, 125.103800", + "target_format": "DMS", + "ground_truth": { + "target_string": "46°31'54.0\"N, 125°6'13.7\"E", + "latitude": 46.53168, + "longitude": 125.1038 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 46.531680, 125.103800", + " Latitude: 46.53168°", + " Longitude: 125.1038°", + "Step 2: Convert latitude to DMS", + " Degrees = 46", + " Minutes = int((46.531680 - 46) × 60) = 31", + " Seconds = ((46.531680 - 46) × 60 - 31) × 60 = 54.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 125", + " Minutes = 6", + " Seconds = 13.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 46°31'54.0\"N, 125°6'13.7\"E", + "FINAL ANSWER: 46°31'54.0\"N, 125°6'13.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kazo", + "source_format": "decimal_degrees", + "source_string": "36.116670, 139.600000", + "target_format": "DMS", + "ground_truth": { + "target_string": "36°7'0.0\"N, 139°35'60.0\"E", + "latitude": 36.11667, + "longitude": 139.6 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 36.116670, 139.600000", + " Latitude: 36.11667°", + " Longitude: 139.6°", + "Step 2: Convert latitude to DMS", + " Degrees = 36", + " Minutes = int((36.116670 - 36) × 60) = 7", + " Seconds = ((36.116670 - 36) × 60 - 7) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 139", + " Minutes = 35", + " Seconds = 60.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 36°7'0.0\"N, 139°35'60.0\"E", + "FINAL ANSWER: 36°7'0.0\"N, 139°35'60.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Junction City", + "source_format": "decimal_degrees", + "source_string": "39.028610, -96.831400", + "target_format": "DMS", + "ground_truth": { + "target_string": "39°1'43.0\"N, 96°49'53.0\"W", + "latitude": 39.02861, + "longitude": -96.8314 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 39.028610, -96.831400", + " Latitude: 39.02861°", + " Longitude: -96.8314°", + "Step 2: Convert latitude to DMS", + " Degrees = 39", + " Minutes = int((39.028610 - 39) × 60) = 1", + " Seconds = ((39.028610 - 39) × 60 - 1) × 60 = 43.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 96", + " Minutes = 49", + " Seconds = 53.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 39°1'43.0\"N, 96°49'53.0\"W", + "FINAL ANSWER: 39°1'43.0\"N, 96°49'53.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Agra", + "source_format": "decimal_degrees", + "source_string": "27.183330, 78.016670", + "target_format": "DMS", + "ground_truth": { + "target_string": "27°10'60.0\"N, 78°1'0.0\"E", + "latitude": 27.18333, + "longitude": 78.01667 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 27.183330, 78.016670", + " Latitude: 27.18333°", + " Longitude: 78.01667°", + "Step 2: Convert latitude to DMS", + " Degrees = 27", + " Minutes = int((27.183330 - 27) × 60) = 10", + " Seconds = ((27.183330 - 27) × 60 - 10) × 60 = 60.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 78", + " Minutes = 1", + " Seconds = 0.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 27°10'60.0\"N, 78°1'0.0\"E", + "FINAL ANSWER: 27°10'60.0\"N, 78°1'0.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Downers Grove", + "source_format": "decimal_degrees", + "source_string": "41.808920, -88.011170", + "target_format": "DMS", + "ground_truth": { + "target_string": "41°48'32.1\"N, 88°0'40.2\"W", + "latitude": 41.80892, + "longitude": -88.01117 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 41.808920, -88.011170", + " Latitude: 41.80892°", + " Longitude: -88.01117°", + "Step 2: Convert latitude to DMS", + " Degrees = 41", + " Minutes = int((41.808920 - 41) × 60) = 48", + " Seconds = ((41.808920 - 41) × 60 - 48) × 60 = 32.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 88", + " Minutes = 0", + " Seconds = 40.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 41°48'32.1\"N, 88°0'40.2\"W", + "FINAL ANSWER: 41°48'32.1\"N, 88°0'40.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Forlì", + "source_format": "DMS", + "source_string": "44°13'18.4\"N, 12°2'29.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "44.221770, 12.041440", + "latitude": 44.22177, + "longitude": 12.04144 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 44°13'18.4\"N, 12°2'29.2\"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: 44.22177°", + "Step 4: Calculate longitude", + " Longitude: 12.04144°", + "FINAL ANSWER: 44.221770, 12.041440" + ] + }, + { + "task": "format_conversion", + "location_name": "Ashland", + "source_format": "decimal_degrees", + "source_string": "42.261210, -71.463400", + "target_format": "DMS", + "ground_truth": { + "target_string": "42°15'40.4\"N, 71°27'48.2\"W", + "latitude": 42.26121, + "longitude": -71.4634 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 42.261210, -71.463400", + " Latitude: 42.26121°", + " Longitude: -71.4634°", + "Step 2: Convert latitude to DMS", + " Degrees = 42", + " Minutes = int((42.261210 - 42) × 60) = 15", + " Seconds = ((42.261210 - 42) × 60 - 15) × 60 = 40.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 71", + " Minutes = 27", + " Seconds = 48.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 42°15'40.4\"N, 71°27'48.2\"W", + "FINAL ANSWER: 42°15'40.4\"N, 71°27'48.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Tiwi", + "source_format": "decimal_degrees", + "source_string": "13.458500, 123.680500", + "target_format": "DMS", + "ground_truth": { + "target_string": "13°27'30.6\"N, 123°40'49.8\"E", + "latitude": 13.4585, + "longitude": 123.6805 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 13.458500, 123.680500", + " Latitude: 13.4585°", + " Longitude: 123.6805°", + "Step 2: Convert latitude to DMS", + " Degrees = 13", + " Minutes = int((13.458500 - 13) × 60) = 27", + " Seconds = ((13.458500 - 13) × 60 - 27) × 60 = 30.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 123", + " Minutes = 40", + " Seconds = 49.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 13°27'30.6\"N, 123°40'49.8\"E", + "FINAL ANSWER: 13°27'30.6\"N, 123°40'49.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Willesden", + "source_format": "DMS", + "source_string": "51°31'60.0\"N, 0°13'60.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "51.533330, -0.233330", + "latitude": 51.53333, + "longitude": -0.23333 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 51°31'60.0\"N, 0°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: 51.53333°", + "Step 4: Calculate longitude", + " Longitude: -0.23333°", + "FINAL ANSWER: 51.533330, -0.233330" + ] + }, + { + "task": "format_conversion", + "location_name": "Amdjarass", + "source_format": "DMS", + "source_string": "16°3'60.0\"N, 22°50'7.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "16.066660, 22.835360", + "latitude": 16.06666, + "longitude": 22.83536 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 16°3'60.0\"N, 22°50'7.3\"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: 16.06666°", + "Step 4: Calculate longitude", + " Longitude: 22.83536°", + "FINAL ANSWER: 16.066660, 22.835360" + ] + }, + { + "task": "format_conversion", + "location_name": "Itoshima", + "source_format": "DMS", + "source_string": "33°32'32.1\"N, 130°11'3.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "33.542250, 130.184210", + "latitude": 33.54225, + "longitude": 130.18421 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 33°32'32.1\"N, 130°11'3.2\"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: 33.54225°", + "Step 4: Calculate longitude", + " Longitude: 130.18421°", + "FINAL ANSWER: 33.542250, 130.184210" + ] + }, + { + "task": "format_conversion", + "location_name": "Bayeux", + "source_format": "decimal_degrees", + "source_string": "49.277320, -0.703900", + "target_format": "DMS", + "ground_truth": { + "target_string": "49°16'38.4\"N, 0°42'14.0\"W", + "latitude": 49.27732, + "longitude": -0.7039 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 49.277320, -0.703900", + " Latitude: 49.27732°", + " Longitude: -0.7039°", + "Step 2: Convert latitude to DMS", + " Degrees = 49", + " Minutes = int((49.277320 - 49) × 60) = 16", + " Seconds = ((49.277320 - 49) × 60 - 16) × 60 = 38.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 0", + " Minutes = 42", + " Seconds = 14.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 49°16'38.4\"N, 0°42'14.0\"W", + "FINAL ANSWER: 49°16'38.4\"N, 0°42'14.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Weesp", + "source_format": "DMS", + "source_string": "52°18'27.0\"N, 5°2'30.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "52.307500, 5.041670", + "latitude": 52.3075, + "longitude": 5.04167 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 52°18'27.0\"N, 5°2'30.0\"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: 52.3075°", + "Step 4: Calculate longitude", + " Longitude: 5.04167°", + "FINAL ANSWER: 52.307500, 5.041670" + ] + }, + { + "task": "format_conversion", + "location_name": "Linyi", + "source_format": "decimal_degrees", + "source_string": "35.063060, 118.342780", + "target_format": "DMS", + "ground_truth": { + "target_string": "35°3'47.0\"N, 118°20'34.0\"E", + "latitude": 35.06306, + "longitude": 118.34278 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 35.063060, 118.342780", + " Latitude: 35.06306°", + " Longitude: 118.34278°", + "Step 2: Convert latitude to DMS", + " Degrees = 35", + " Minutes = int((35.063060 - 35) × 60) = 3", + " Seconds = ((35.063060 - 35) × 60 - 3) × 60 = 47.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 118", + " Minutes = 20", + " Seconds = 34.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 35°3'47.0\"N, 118°20'34.0\"E", + "FINAL ANSWER: 35°3'47.0\"N, 118°20'34.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Barbastro", + "source_format": "DMS", + "source_string": "42°2'8.3\"N, 0°7'36.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "42.035650, 0.126860", + "latitude": 42.03565, + "longitude": 0.12686 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 42°2'8.3\"N, 0°7'36.7\"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: 42.03565°", + "Step 4: Calculate longitude", + " Longitude: 0.12686°", + "FINAL ANSWER: 42.035650, 0.126860" + ] + }, + { + "task": "format_conversion", + "location_name": "Sint-Gillis-Waas", + "source_format": "decimal_degrees", + "source_string": "51.219140, 4.123740", + "target_format": "DMS", + "ground_truth": { + "target_string": "51°13'8.9\"N, 4°7'25.5\"E", + "latitude": 51.21914, + "longitude": 4.12374 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 51.219140, 4.123740", + " Latitude: 51.21914°", + " Longitude: 4.12374°", + "Step 2: Convert latitude to DMS", + " Degrees = 51", + " Minutes = int((51.219140 - 51) × 60) = 13", + " Seconds = ((51.219140 - 51) × 60 - 13) × 60 = 8.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 4", + " Minutes = 7", + " Seconds = 25.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 51°13'8.9\"N, 4°7'25.5\"E", + "FINAL ANSWER: 51°13'8.9\"N, 4°7'25.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Annaberg-Buchholz", + "source_format": "DMS", + "source_string": "50°34'46.3\"N, 13°0'22.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "50.579530, 13.006270", + "latitude": 50.57953, + "longitude": 13.00627 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 50°34'46.3\"N, 13°0'22.6\"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: 50.57953°", + "Step 4: Calculate longitude", + " Longitude: 13.00627°", + "FINAL ANSWER: 50.579530, 13.006270" + ] + }, + { + "task": "format_conversion", + "location_name": "Billericay", + "source_format": "decimal_degrees", + "source_string": "51.628670, 0.419630", + "target_format": "DMS", + "ground_truth": { + "target_string": "51°37'43.2\"N, 0°25'10.7\"E", + "latitude": 51.62867, + "longitude": 0.41963 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 51.628670, 0.419630", + " Latitude: 51.62867°", + " Longitude: 0.41963°", + "Step 2: Convert latitude to DMS", + " Degrees = 51", + " Minutes = int((51.628670 - 51) × 60) = 37", + " Seconds = ((51.628670 - 51) × 60 - 37) × 60 = 43.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 0", + " Minutes = 25", + " Seconds = 10.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 51°37'43.2\"N, 0°25'10.7\"E", + "FINAL ANSWER: 51°37'43.2\"N, 0°25'10.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Caetité", + "source_format": "decimal_degrees", + "source_string": "-14.069440, -42.475000", + "target_format": "DMS", + "ground_truth": { + "target_string": "14°4'10.0\"S, 42°28'30.0\"W", + "latitude": -14.06944, + "longitude": -42.475 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -14.069440, -42.475000", + " Latitude: -14.06944°", + " Longitude: -42.475°", + "Step 2: Convert latitude to DMS", + " Degrees = 14", + " Minutes = int((14.069440 - 14) × 60) = 4", + " Seconds = ((14.069440 - 14) × 60 - 4) × 60 = 10.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 42", + " Minutes = 28", + " Seconds = 30.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 14°4'10.0\"S, 42°28'30.0\"W", + "FINAL ANSWER: 14°4'10.0\"S, 42°28'30.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Dingolfing", + "source_format": "DMS", + "source_string": "48°38'32.8\"N, 12°29'34.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "48.642440, 12.492830", + "latitude": 48.64244, + "longitude": 12.49283 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 48°38'32.8\"N, 12°29'34.2\"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: 48.64244°", + "Step 4: Calculate longitude", + " Longitude: 12.49283°", + "FINAL ANSWER: 48.642440, 12.492830" + ] + }, + { + "task": "format_conversion", + "location_name": "Koolauloa", + "source_format": "DMS", + "source_string": "21°36'20.8\"N, 157°55'35.4\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "21.605790, -157.926500", + "latitude": 21.60579, + "longitude": -157.9265 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 21°36'20.8\"N, 157°55'35.4\"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: 21.60579°", + "Step 4: Calculate longitude", + " Longitude: -157.9265°", + "FINAL ANSWER: 21.605790, -157.926500" + ] + }, + { + "task": "format_conversion", + "location_name": "Rantepao", + "source_format": "DMS", + "source_string": "2°58'12.4\"S, 119°53'52.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-2.970100, 119.897800", + "latitude": -2.9701, + "longitude": 119.8978 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 2°58'12.4\"S, 119°53'52.1\"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: -2.9701°", + "Step 4: Calculate longitude", + " Longitude: 119.8978°", + "FINAL ANSWER: -2.970100, 119.897800" + ] + }, + { + "task": "format_conversion", + "location_name": "Negombo", + "source_format": "DMS", + "source_string": "7°12'29.9\"N, 79°50'8.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "7.208300, 79.835800", + "latitude": 7.2083, + "longitude": 79.8358 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 7°12'29.9\"N, 79°50'8.9\"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: 7.2083°", + "Step 4: Calculate longitude", + " Longitude: 79.8358°", + "FINAL ANSWER: 7.208300, 79.835800" + ] + }, + { + "task": "format_conversion", + "location_name": "Mestre", + "source_format": "DMS", + "source_string": "45°29'30.0\"N, 12°14'43.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "45.491670, 12.245380", + "latitude": 45.49167, + "longitude": 12.24538 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 45°29'30.0\"N, 12°14'43.4\"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: 45.49167°", + "Step 4: Calculate longitude", + " Longitude: 12.24538°", + "FINAL ANSWER: 45.491670, 12.245380" + ] + }, + { + "task": "format_conversion", + "location_name": "Wilmington", + "source_format": "decimal_degrees", + "source_string": "34.235560, -77.946040", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°14'8.0\"N, 77°56'45.7\"W", + "latitude": 34.23556, + "longitude": -77.94604 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 34.235560, -77.946040", + " Latitude: 34.23556°", + " Longitude: -77.94604°", + "Step 2: Convert latitude to DMS", + " Degrees = 34", + " Minutes = int((34.235560 - 34) × 60) = 14", + " Seconds = ((34.235560 - 34) × 60 - 14) × 60 = 8.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 77", + " Minutes = 56", + " Seconds = 45.7", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 34°14'8.0\"N, 77°56'45.7\"W", + "FINAL ANSWER: 34°14'8.0\"N, 77°56'45.7\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Kaeng Khoi", + "source_format": "DMS", + "source_string": "14°35'10.2\"N, 100°59'51.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "14.586170, 100.997580", + "latitude": 14.58617, + "longitude": 100.99758 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 14°35'10.2\"N, 100°59'51.3\"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: 14.58617°", + "Step 4: Calculate longitude", + " Longitude: 100.99758°", + "FINAL ANSWER: 14.586170, 100.997580" + ] + }, + { + "task": "format_conversion", + "location_name": "Meaux", + "source_format": "DMS", + "source_string": "48°57'36.5\"N, 2°52'43.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "48.960140, 2.878850", + "latitude": 48.96014, + "longitude": 2.87885 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 48°57'36.5\"N, 2°52'43.9\"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: 48.96014°", + "Step 4: Calculate longitude", + " Longitude: 2.87885°", + "FINAL ANSWER: 48.960140, 2.878850" + ] + }, + { + "task": "format_conversion", + "location_name": "Starachowice", + "source_format": "DMS", + "source_string": "51°2'14.6\"N, 21°4'16.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "51.037400, 21.071260", + "latitude": 51.0374, + "longitude": 21.07126 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 51°2'14.6\"N, 21°4'16.5\"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: 51.0374°", + "Step 4: Calculate longitude", + " Longitude: 21.07126°", + "FINAL ANSWER: 51.037400, 21.071260" + ] + }, + { + "task": "format_conversion", + "location_name": "Novo Horizonte", + "source_format": "DMS", + "source_string": "21°28'5.0\"S, 49°13'15.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-21.468060, -49.220830", + "latitude": -21.46806, + "longitude": -49.22083 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 21°28'5.0\"S, 49°13'15.0\"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: -21.46806°", + "Step 4: Calculate longitude", + " Longitude: -49.22083°", + "FINAL ANSWER: -21.468060, -49.220830" + ] + }, + { + "task": "format_conversion", + "location_name": "Budapest", + "source_format": "decimal_degrees", + "source_string": "47.498350, 19.040450", + "target_format": "DMS", + "ground_truth": { + "target_string": "47°29'54.1\"N, 19°2'25.6\"E", + "latitude": 47.49835, + "longitude": 19.04045 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 47.498350, 19.040450", + " Latitude: 47.49835°", + " Longitude: 19.04045°", + "Step 2: Convert latitude to DMS", + " Degrees = 47", + " Minutes = int((47.498350 - 47) × 60) = 29", + " Seconds = ((47.498350 - 47) × 60 - 29) × 60 = 54.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 19", + " Minutes = 2", + " Seconds = 25.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 47°29'54.1\"N, 19°2'25.6\"E", + "FINAL ANSWER: 47°29'54.1\"N, 19°2'25.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Placas", + "source_format": "decimal_degrees", + "source_string": "-3.867780, -54.220000", + "target_format": "DMS", + "ground_truth": { + "target_string": "3°52'4.0\"S, 54°13'12.0\"W", + "latitude": -3.86778, + "longitude": -54.22 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -3.867780, -54.220000", + " Latitude: -3.86778°", + " Longitude: -54.22°", + "Step 2: Convert latitude to DMS", + " Degrees = 3", + " Minutes = int((3.867780 - 3) × 60) = 52", + " Seconds = ((3.867780 - 3) × 60 - 52) × 60 = 4.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 54", + " Minutes = 13", + " Seconds = 12.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 3°52'4.0\"S, 54°13'12.0\"W", + "FINAL ANSWER: 3°52'4.0\"S, 54°13'12.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Howard Beach", + "source_format": "DMS", + "source_string": "40°39'28.4\"N, 73°50'10.5\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.657880, -73.836250", + "latitude": 40.65788, + "longitude": -73.83625 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°39'28.4\"N, 73°50'10.5\"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: 40.65788°", + "Step 4: Calculate longitude", + " Longitude: -73.83625°", + "FINAL ANSWER: 40.657880, -73.836250" + ] + }, + { + "task": "format_conversion", + "location_name": "Dar Naim", + "source_format": "decimal_degrees", + "source_string": "18.108080, -15.926660", + "target_format": "DMS", + "ground_truth": { + "target_string": "18°6'29.1\"N, 15°55'36.0\"W", + "latitude": 18.10808, + "longitude": -15.92666 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 18.108080, -15.926660", + " Latitude: 18.10808°", + " Longitude: -15.92666°", + "Step 2: Convert latitude to DMS", + " Degrees = 18", + " Minutes = int((18.108080 - 18) × 60) = 6", + " Seconds = ((18.108080 - 18) × 60 - 6) × 60 = 29.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 15", + " Minutes = 55", + " Seconds = 36.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 18°6'29.1\"N, 15°55'36.0\"W", + "FINAL ANSWER: 18°6'29.1\"N, 15°55'36.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Hede", + "source_format": "decimal_degrees", + "source_string": "33.772200, 120.261760", + "target_format": "DMS", + "ground_truth": { + "target_string": "33°46'19.9\"N, 120°15'42.3\"E", + "latitude": 33.7722, + "longitude": 120.26176 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 33.772200, 120.261760", + " Latitude: 33.7722°", + " Longitude: 120.26176°", + "Step 2: Convert latitude to DMS", + " Degrees = 33", + " Minutes = int((33.772200 - 33) × 60) = 46", + " Seconds = ((33.772200 - 33) × 60 - 46) × 60 = 19.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 120", + " Minutes = 15", + " Seconds = 42.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 33°46'19.9\"N, 120°15'42.3\"E", + "FINAL ANSWER: 33°46'19.9\"N, 120°15'42.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "São João da Talha", + "source_format": "decimal_degrees", + "source_string": "38.823780, -9.097190", + "target_format": "DMS", + "ground_truth": { + "target_string": "38°49'25.6\"N, 9°5'49.9\"W", + "latitude": 38.82378, + "longitude": -9.09719 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 38.823780, -9.097190", + " Latitude: 38.82378°", + " Longitude: -9.09719°", + "Step 2: Convert latitude to DMS", + " Degrees = 38", + " Minutes = int((38.823780 - 38) × 60) = 49", + " Seconds = ((38.823780 - 38) × 60 - 49) × 60 = 25.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 9", + " Minutes = 5", + " Seconds = 49.9", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 38°49'25.6\"N, 9°5'49.9\"W", + "FINAL ANSWER: 38°49'25.6\"N, 9°5'49.9\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Adliswil", + "source_format": "DMS", + "source_string": "47°18'35.9\"N, 8°31'28.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "47.309970, 8.524620", + "latitude": 47.30997, + "longitude": 8.52462 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 47°18'35.9\"N, 8°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: 47.30997°", + "Step 4: Calculate longitude", + " Longitude: 8.52462°", + "FINAL ANSWER: 47.309970, 8.524620" + ] + }, + { + "task": "format_conversion", + "location_name": "Colonia Nativitas", + "source_format": "decimal_degrees", + "source_string": "19.381190, -99.136850", + "target_format": "DMS", + "ground_truth": { + "target_string": "19°22'52.3\"N, 99°8'12.7\"W", + "latitude": 19.38119, + "longitude": -99.13685 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 19.381190, -99.136850", + " Latitude: 19.38119°", + " Longitude: -99.13685°", + "Step 2: Convert latitude to DMS", + " Degrees = 19", + " Minutes = int((19.381190 - 19) × 60) = 22", + " Seconds = ((19.381190 - 19) × 60 - 22) × 60 = 52.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 99", + " Minutes = 8", + " Seconds = 12.7", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 19°22'52.3\"N, 99°8'12.7\"W", + "FINAL ANSWER: 19°22'52.3\"N, 99°8'12.7\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Nagda", + "source_format": "decimal_degrees", + "source_string": "23.458340, 75.417590", + "target_format": "DMS", + "ground_truth": { + "target_string": "23°27'30.0\"N, 75°25'3.3\"E", + "latitude": 23.45834, + "longitude": 75.41759 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 23.458340, 75.417590", + " Latitude: 23.45834°", + " Longitude: 75.41759°", + "Step 2: Convert latitude to DMS", + " Degrees = 23", + " Minutes = int((23.458340 - 23) × 60) = 27", + " Seconds = ((23.458340 - 23) × 60 - 27) × 60 = 30.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 75", + " Minutes = 25", + " Seconds = 3.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 23°27'30.0\"N, 75°25'3.3\"E", + "FINAL ANSWER: 23°27'30.0\"N, 75°25'3.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kikwit", + "source_format": "decimal_degrees", + "source_string": "-5.040980, 18.816190", + "target_format": "DMS", + "ground_truth": { + "target_string": "5°2'27.5\"S, 18°48'58.3\"E", + "latitude": -5.04098, + "longitude": 18.81619 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -5.040980, 18.816190", + " Latitude: -5.04098°", + " Longitude: 18.81619°", + "Step 2: Convert latitude to DMS", + " Degrees = 5", + " Minutes = int((5.040980 - 5) × 60) = 2", + " Seconds = ((5.040980 - 5) × 60 - 2) × 60 = 27.5", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 18", + " Minutes = 48", + " Seconds = 58.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 5°2'27.5\"S, 18°48'58.3\"E", + "FINAL ANSWER: 5°2'27.5\"S, 18°48'58.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Yanji", + "source_format": "decimal_degrees", + "source_string": "42.888250, 129.502410", + "target_format": "DMS", + "ground_truth": { + "target_string": "42°53'17.7\"N, 129°30'8.7\"E", + "latitude": 42.88825, + "longitude": 129.50241 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 42.888250, 129.502410", + " Latitude: 42.88825°", + " Longitude: 129.50241°", + "Step 2: Convert latitude to DMS", + " Degrees = 42", + " Minutes = int((42.888250 - 42) × 60) = 53", + " Seconds = ((42.888250 - 42) × 60 - 53) × 60 = 17.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 129", + " Minutes = 30", + " Seconds = 8.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 42°53'17.7\"N, 129°30'8.7\"E", + "FINAL ANSWER: 42°53'17.7\"N, 129°30'8.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Cairu", + "source_format": "decimal_degrees", + "source_string": "-13.486940, -39.043890", + "target_format": "DMS", + "ground_truth": { + "target_string": "13°29'13.0\"S, 39°2'38.0\"W", + "latitude": -13.48694, + "longitude": -39.04389 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -13.486940, -39.043890", + " Latitude: -13.48694°", + " Longitude: -39.04389°", + "Step 2: Convert latitude to DMS", + " Degrees = 13", + " Minutes = int((13.486940 - 13) × 60) = 29", + " Seconds = ((13.486940 - 13) × 60 - 29) × 60 = 13.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 39", + " Minutes = 2", + " Seconds = 38.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 13°29'13.0\"S, 39°2'38.0\"W", + "FINAL ANSWER: 13°29'13.0\"S, 39°2'38.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Arroio Grande", + "source_format": "decimal_degrees", + "source_string": "-32.237500, -53.086940", + "target_format": "DMS", + "ground_truth": { + "target_string": "32°14'15.0\"S, 53°5'13.0\"W", + "latitude": -32.2375, + "longitude": -53.08694 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -32.237500, -53.086940", + " Latitude: -32.2375°", + " Longitude: -53.08694°", + "Step 2: Convert latitude to DMS", + " Degrees = 32", + " Minutes = int((32.237500 - 32) × 60) = 14", + " Seconds = ((32.237500 - 32) × 60 - 14) × 60 = 15.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 53", + " Minutes = 5", + " Seconds = 13.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 32°14'15.0\"S, 53°5'13.0\"W", + "FINAL ANSWER: 32°14'15.0\"S, 53°5'13.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Cormeilles-en-Parisis", + "source_format": "decimal_degrees", + "source_string": "48.971110, 2.204910", + "target_format": "DMS", + "ground_truth": { + "target_string": "48°58'16.0\"N, 2°12'17.7\"E", + "latitude": 48.97111, + "longitude": 2.20491 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 48.971110, 2.204910", + " Latitude: 48.97111°", + " Longitude: 2.20491°", + "Step 2: Convert latitude to DMS", + " Degrees = 48", + " Minutes = int((48.971110 - 48) × 60) = 58", + " Seconds = ((48.971110 - 48) × 60 - 58) × 60 = 16.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 2", + " Minutes = 12", + " Seconds = 17.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 48°58'16.0\"N, 2°12'17.7\"E", + "FINAL ANSWER: 48°58'16.0\"N, 2°12'17.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Satun", + "source_format": "decimal_degrees", + "source_string": "6.623140, 100.066760", + "target_format": "DMS", + "ground_truth": { + "target_string": "6°37'23.3\"N, 100°4'0.3\"E", + "latitude": 6.62314, + "longitude": 100.06676 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 6.623140, 100.066760", + " Latitude: 6.62314°", + " Longitude: 100.06676°", + "Step 2: Convert latitude to DMS", + " Degrees = 6", + " Minutes = int((6.623140 - 6) × 60) = 37", + " Seconds = ((6.623140 - 6) × 60 - 37) × 60 = 23.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 100", + " Minutes = 4", + " Seconds = 0.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 6°37'23.3\"N, 100°4'0.3\"E", + "FINAL ANSWER: 6°37'23.3\"N, 100°4'0.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Chivolo", + "source_format": "decimal_degrees", + "source_string": "10.025020, -74.622790", + "target_format": "DMS", + "ground_truth": { + "target_string": "10°1'30.1\"N, 74°37'22.0\"W", + "latitude": 10.02502, + "longitude": -74.62279 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 10.025020, -74.622790", + " Latitude: 10.02502°", + " Longitude: -74.62279°", + "Step 2: Convert latitude to DMS", + " Degrees = 10", + " Minutes = int((10.025020 - 10) × 60) = 1", + " Seconds = ((10.025020 - 10) × 60 - 1) × 60 = 30.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 74", + " Minutes = 37", + " Seconds = 22.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 10°1'30.1\"N, 74°37'22.0\"W", + "FINAL ANSWER: 10°1'30.1\"N, 74°37'22.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Sarigam INA", + "source_format": "decimal_degrees", + "source_string": "20.288450, 72.850290", + "target_format": "DMS", + "ground_truth": { + "target_string": "20°17'18.4\"N, 72°51'1.0\"E", + "latitude": 20.28845, + "longitude": 72.85029 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 20.288450, 72.850290", + " Latitude: 20.28845°", + " Longitude: 72.85029°", + "Step 2: Convert latitude to DMS", + " Degrees = 20", + " Minutes = int((20.288450 - 20) × 60) = 17", + " Seconds = ((20.288450 - 20) × 60 - 17) × 60 = 18.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 72", + " Minutes = 51", + " Seconds = 1.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 20°17'18.4\"N, 72°51'1.0\"E", + "FINAL ANSWER: 20°17'18.4\"N, 72°51'1.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Ikere-Ekiti", + "source_format": "DMS", + "source_string": "7°29'50.9\"N, 5°13'49.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "7.497480, 5.230410", + "latitude": 7.49748, + "longitude": 5.23041 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 7°29'50.9\"N, 5°13'49.5\"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: 7.49748°", + "Step 4: Calculate longitude", + " Longitude: 5.23041°", + "FINAL ANSWER: 7.497480, 5.230410" + ] + }, + { + "task": "format_conversion", + "location_name": "Sungai Jawi", + "source_format": "DMS", + "source_string": "5°11'52.0\"N, 100°29'32.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "5.197790, 100.492440", + "latitude": 5.19779, + "longitude": 100.49244 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 5°11'52.0\"N, 100°29'32.8\"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: 5.19779°", + "Step 4: Calculate longitude", + " Longitude: 100.49244°", + "FINAL ANSWER: 5.197790, 100.492440" + ] + }, + { + "task": "format_conversion", + "location_name": "Irecê", + "source_format": "decimal_degrees", + "source_string": "-11.304170, -41.855830", + "target_format": "DMS", + "ground_truth": { + "target_string": "11°18'15.0\"S, 41°51'21.0\"W", + "latitude": -11.30417, + "longitude": -41.85583 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -11.304170, -41.855830", + " Latitude: -11.30417°", + " Longitude: -41.85583°", + "Step 2: Convert latitude to DMS", + " Degrees = 11", + " Minutes = int((11.304170 - 11) × 60) = 18", + " Seconds = ((11.304170 - 11) × 60 - 18) × 60 = 15.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 41", + " Minutes = 51", + " Seconds = 21.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 11°18'15.0\"S, 41°51'21.0\"W", + "FINAL ANSWER: 11°18'15.0\"S, 41°51'21.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Parma", + "source_format": "decimal_degrees", + "source_string": "41.404770, -81.722910", + "target_format": "DMS", + "ground_truth": { + "target_string": "41°24'17.2\"N, 81°43'22.5\"W", + "latitude": 41.40477, + "longitude": -81.72291 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 41.404770, -81.722910", + " Latitude: 41.40477°", + " Longitude: -81.72291°", + "Step 2: Convert latitude to DMS", + " Degrees = 41", + " Minutes = int((41.404770 - 41) × 60) = 24", + " Seconds = ((41.404770 - 41) × 60 - 24) × 60 = 17.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 81", + " Minutes = 43", + " Seconds = 22.5", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 41°24'17.2\"N, 81°43'22.5\"W", + "FINAL ANSWER: 41°24'17.2\"N, 81°43'22.5\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Volnovakha", + "source_format": "DMS", + "source_string": "47°36'5.8\"N, 37°29'49.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "47.601600, 37.497120", + "latitude": 47.6016, + "longitude": 37.49712 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 47°36'5.8\"N, 37°29'49.6\"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: 47.6016°", + "Step 4: Calculate longitude", + " Longitude: 37.49712°", + "FINAL ANSWER: 47.601600, 37.497120" + ] + }, + { + "task": "format_conversion", + "location_name": "Xinhe", + "source_format": "DMS", + "source_string": "34°11'10.1\"N, 117°59'15.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "34.186130, 117.987750", + "latitude": 34.18613, + "longitude": 117.98775 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 34°11'10.1\"N, 117°59'15.9\"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: 34.18613°", + "Step 4: Calculate longitude", + " Longitude: 117.98775°", + "FINAL ANSWER: 34.186130, 117.987750" + ] + }, + { + "task": "format_conversion", + "location_name": "Musashimurayama", + "source_format": "DMS", + "source_string": "35°44'32.7\"N, 139°25'34.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "35.742420, 139.426350", + "latitude": 35.74242, + "longitude": 139.42635 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 35°44'32.7\"N, 139°25'34.9\"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: 35.74242°", + "Step 4: Calculate longitude", + " Longitude: 139.42635°", + "FINAL ANSWER: 35.742420, 139.426350" + ] + }, + { + "task": "format_conversion", + "location_name": "Twinsburg", + "source_format": "decimal_degrees", + "source_string": "41.312560, -81.440110", + "target_format": "DMS", + "ground_truth": { + "target_string": "41°18'45.2\"N, 81°26'24.4\"W", + "latitude": 41.31256, + "longitude": -81.44011 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 41.312560, -81.440110", + " Latitude: 41.31256°", + " Longitude: -81.44011°", + "Step 2: Convert latitude to DMS", + " Degrees = 41", + " Minutes = int((41.312560 - 41) × 60) = 18", + " Seconds = ((41.312560 - 41) × 60 - 18) × 60 = 45.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 81", + " Minutes = 26", + " Seconds = 24.4", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 41°18'45.2\"N, 81°26'24.4\"W", + "FINAL ANSWER: 41°18'45.2\"N, 81°26'24.4\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Rānpur", + "source_format": "decimal_degrees", + "source_string": "22.351610, 71.711790", + "target_format": "DMS", + "ground_truth": { + "target_string": "22°21'5.8\"N, 71°42'42.4\"E", + "latitude": 22.35161, + "longitude": 71.71179 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 22.351610, 71.711790", + " Latitude: 22.35161°", + " Longitude: 71.71179°", + "Step 2: Convert latitude to DMS", + " Degrees = 22", + " Minutes = int((22.351610 - 22) × 60) = 21", + " Seconds = ((22.351610 - 22) × 60 - 21) × 60 = 5.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 71", + " Minutes = 42", + " Seconds = 42.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 22°21'5.8\"N, 71°42'42.4\"E", + "FINAL ANSWER: 22°21'5.8\"N, 71°42'42.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Phumĭ Véal Srê", + "source_format": "DMS", + "source_string": "10°58'50.9\"N, 104°46'41.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "10.980810, 104.778280", + "latitude": 10.98081, + "longitude": 104.77828 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 10°58'50.9\"N, 104°46'41.8\"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: 10.98081°", + "Step 4: Calculate longitude", + " Longitude: 104.77828°", + "FINAL ANSWER: 10.980810, 104.778280" + ] + }, + { + "task": "format_conversion", + "location_name": "Ptuj", + "source_format": "decimal_degrees", + "source_string": "46.420050, 15.870180", + "target_format": "DMS", + "ground_truth": { + "target_string": "46°25'12.2\"N, 15°52'12.6\"E", + "latitude": 46.42005, + "longitude": 15.87018 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 46.420050, 15.870180", + " Latitude: 46.42005°", + " Longitude: 15.87018°", + "Step 2: Convert latitude to DMS", + " Degrees = 46", + " Minutes = int((46.420050 - 46) × 60) = 25", + " Seconds = ((46.420050 - 46) × 60 - 25) × 60 = 12.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 15", + " Minutes = 52", + " Seconds = 12.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 46°25'12.2\"N, 15°52'12.6\"E", + "FINAL ANSWER: 46°25'12.2\"N, 15°52'12.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Tejupilco de Hidalgo", + "source_format": "DMS", + "source_string": "18°54'17.1\"N, 100°9'9.9\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "18.904750, -100.152750", + "latitude": 18.90475, + "longitude": -100.15275 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 18°54'17.1\"N, 100°9'9.9\"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: 18.90475°", + "Step 4: Calculate longitude", + " Longitude: -100.15275°", + "FINAL ANSWER: 18.904750, -100.152750" + ] + }, + { + "task": "format_conversion", + "location_name": "Misantla", + "source_format": "decimal_degrees", + "source_string": "19.929920, -96.851940", + "target_format": "DMS", + "ground_truth": { + "target_string": "19°55'47.7\"N, 96°51'7.0\"W", + "latitude": 19.92992, + "longitude": -96.85194 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 19.929920, -96.851940", + " Latitude: 19.92992°", + " Longitude: -96.85194°", + "Step 2: Convert latitude to DMS", + " Degrees = 19", + " Minutes = int((19.929920 - 19) × 60) = 55", + " Seconds = ((19.929920 - 19) × 60 - 55) × 60 = 47.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 96", + " Minutes = 51", + " Seconds = 7.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 19°55'47.7\"N, 96°51'7.0\"W", + "FINAL ANSWER: 19°55'47.7\"N, 96°51'7.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Huejutla de Reyes", + "source_format": "DMS", + "source_string": "21°8'24.0\"N, 98°25'10.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "21.140000, -98.419440", + "latitude": 21.14, + "longitude": -98.41944 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 21°8'24.0\"N, 98°25'10.0\"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: 21.14°", + "Step 4: Calculate longitude", + " Longitude: -98.41944°", + "FINAL ANSWER: 21.140000, -98.419440" + ] + }, + { + "task": "format_conversion", + "location_name": "Naic", + "source_format": "decimal_degrees", + "source_string": "14.318120, 120.766090", + "target_format": "DMS", + "ground_truth": { + "target_string": "14°19'5.2\"N, 120°45'57.9\"E", + "latitude": 14.31812, + "longitude": 120.76609 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 14.318120, 120.766090", + " Latitude: 14.31812°", + " Longitude: 120.76609°", + "Step 2: Convert latitude to DMS", + " Degrees = 14", + " Minutes = int((14.318120 - 14) × 60) = 19", + " Seconds = ((14.318120 - 14) × 60 - 19) × 60 = 5.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 120", + " Minutes = 45", + " Seconds = 57.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 14°19'5.2\"N, 120°45'57.9\"E", + "FINAL ANSWER: 14°19'5.2\"N, 120°45'57.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Derry", + "source_format": "decimal_degrees", + "source_string": "42.880640, -71.327290", + "target_format": "DMS", + "ground_truth": { + "target_string": "42°52'50.3\"N, 71°19'38.2\"W", + "latitude": 42.88064, + "longitude": -71.32729 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 42.880640, -71.327290", + " Latitude: 42.88064°", + " Longitude: -71.32729°", + "Step 2: Convert latitude to DMS", + " Degrees = 42", + " Minutes = int((42.880640 - 42) × 60) = 52", + " Seconds = ((42.880640 - 42) × 60 - 52) × 60 = 50.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 71", + " Minutes = 19", + " Seconds = 38.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 42°52'50.3\"N, 71°19'38.2\"W", + "FINAL ANSWER: 42°52'50.3\"N, 71°19'38.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Helmstedt", + "source_format": "DMS", + "source_string": "52°13'40.4\"N, 11°0'35.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "52.227900, 11.009850", + "latitude": 52.2279, + "longitude": 11.00985 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 52°13'40.4\"N, 11°0'35.5\"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: 52.2279°", + "Step 4: Calculate longitude", + " Longitude: 11.00985°", + "FINAL ANSWER: 52.227900, 11.009850" + ] + }, + { + "task": "format_conversion", + "location_name": "Goaso", + "source_format": "DMS", + "source_string": "6°48'12.8\"N, 2°31'1.9\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "6.803550, -2.517200", + "latitude": 6.80355, + "longitude": -2.5172 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 6°48'12.8\"N, 2°31'1.9\"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: 6.80355°", + "Step 4: Calculate longitude", + " Longitude: -2.5172°", + "FINAL ANSWER: 6.803550, -2.517200" + ] + }, + { + "task": "format_conversion", + "location_name": "Mon Repos", + "source_format": "decimal_degrees", + "source_string": "10.279790, -61.445900", + "target_format": "DMS", + "ground_truth": { + "target_string": "10°16'47.2\"N, 61°26'45.2\"W", + "latitude": 10.27979, + "longitude": -61.4459 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 10.279790, -61.445900", + " Latitude: 10.27979°", + " Longitude: -61.4459°", + "Step 2: Convert latitude to DMS", + " Degrees = 10", + " Minutes = int((10.279790 - 10) × 60) = 16", + " Seconds = ((10.279790 - 10) × 60 - 16) × 60 = 47.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 61", + " Minutes = 26", + " Seconds = 45.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 10°16'47.2\"N, 61°26'45.2\"W", + "FINAL ANSWER: 10°16'47.2\"N, 61°26'45.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Kachhwa", + "source_format": "DMS", + "source_string": "25°12'22.1\"N, 82°42'51.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "25.206150, 82.714420", + "latitude": 25.20615, + "longitude": 82.71442 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 25°12'22.1\"N, 82°42'51.9\"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: 25.20615°", + "Step 4: Calculate longitude", + " Longitude: 82.71442°", + "FINAL ANSWER: 25.206150, 82.714420" + ] + }, + { + "task": "format_conversion", + "location_name": "Ar Rābiyah", + "source_format": "decimal_degrees", + "source_string": "29.295000, 47.933060", + "target_format": "DMS", + "ground_truth": { + "target_string": "29°17'42.0\"N, 47°55'59.0\"E", + "latitude": 29.295, + "longitude": 47.93306 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 29.295000, 47.933060", + " Latitude: 29.295°", + " Longitude: 47.93306°", + "Step 2: Convert latitude to DMS", + " Degrees = 29", + " Minutes = int((29.295000 - 29) × 60) = 17", + " Seconds = ((29.295000 - 29) × 60 - 17) × 60 = 42.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 47", + " Minutes = 55", + " Seconds = 59.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 29°17'42.0\"N, 47°55'59.0\"E", + "FINAL ANSWER: 29°17'42.0\"N, 47°55'59.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Chhor", + "source_format": "DMS", + "source_string": "25°30'45.4\"N, 69°47'3.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "25.512600, 69.784370", + "latitude": 25.5126, + "longitude": 69.78437 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 25°30'45.4\"N, 69°47'3.7\"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: 25.5126°", + "Step 4: Calculate longitude", + " Longitude: 69.78437°", + "FINAL ANSWER: 25.512600, 69.784370" + ] + }, + { + "task": "format_conversion", + "location_name": "Tumkūr", + "source_format": "DMS", + "source_string": "13°20'28.9\"N, 77°6'7.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "13.341360, 77.102200", + "latitude": 13.34136, + "longitude": 77.1022 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 13°20'28.9\"N, 77°6'7.9\"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: 13.34136°", + "Step 4: Calculate longitude", + " Longitude: 77.1022°", + "FINAL ANSWER: 13.341360, 77.102200" + ] + }, + { + "task": "format_conversion", + "location_name": "Los Mochis", + "source_format": "decimal_degrees", + "source_string": "25.790970, -108.998250", + "target_format": "DMS", + "ground_truth": { + "target_string": "25°47'27.5\"N, 108°59'53.7\"W", + "latitude": 25.79097, + "longitude": -108.99825 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 25.790970, -108.998250", + " Latitude: 25.79097°", + " Longitude: -108.99825°", + "Step 2: Convert latitude to DMS", + " Degrees = 25", + " Minutes = int((25.790970 - 25) × 60) = 47", + " Seconds = ((25.790970 - 25) × 60 - 47) × 60 = 27.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 108", + " Minutes = 59", + " Seconds = 53.7", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 25°47'27.5\"N, 108°59'53.7\"W", + "FINAL ANSWER: 25°47'27.5\"N, 108°59'53.7\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Uritsk", + "source_format": "DMS", + "source_string": "59°50'20.0\"N, 30°10'31.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "59.838890, 30.175280", + "latitude": 59.83889, + "longitude": 30.17528 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 59°50'20.0\"N, 30°10'31.0\"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: 59.83889°", + "Step 4: Calculate longitude", + " Longitude: 30.17528°", + "FINAL ANSWER: 59.838890, 30.175280" + ] + }, + { + "task": "format_conversion", + "location_name": "Linghe", + "source_format": "DMS", + "source_string": "36°21'51.0\"N, 119°4'37.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "36.364170, 119.076940", + "latitude": 36.36417, + "longitude": 119.07694 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 36°21'51.0\"N, 119°4'37.0\"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: 36.36417°", + "Step 4: Calculate longitude", + " Longitude: 119.07694°", + "FINAL ANSWER: 36.364170, 119.076940" + ] + }, + { + "task": "format_conversion", + "location_name": "Batu Gajah", + "source_format": "decimal_degrees", + "source_string": "4.469160, 101.041070", + "target_format": "DMS", + "ground_truth": { + "target_string": "4°28'9.0\"N, 101°2'27.9\"E", + "latitude": 4.46916, + "longitude": 101.04107 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 4.469160, 101.041070", + " Latitude: 4.46916°", + " Longitude: 101.04107°", + "Step 2: Convert latitude to DMS", + " Degrees = 4", + " Minutes = int((4.469160 - 4) × 60) = 28", + " Seconds = ((4.469160 - 4) × 60 - 28) × 60 = 9.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 101", + " Minutes = 2", + " Seconds = 27.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 4°28'9.0\"N, 101°2'27.9\"E", + "FINAL ANSWER: 4°28'9.0\"N, 101°2'27.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Tajimi", + "source_format": "decimal_degrees", + "source_string": "35.316670, 137.133330", + "target_format": "DMS", + "ground_truth": { + "target_string": "35°19'0.0\"N, 137°7'60.0\"E", + "latitude": 35.31667, + "longitude": 137.13333 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 35.316670, 137.133330", + " Latitude: 35.31667°", + " Longitude: 137.13333°", + "Step 2: Convert latitude to DMS", + " Degrees = 35", + " Minutes = int((35.316670 - 35) × 60) = 19", + " Seconds = ((35.316670 - 35) × 60 - 19) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 137", + " Minutes = 7", + " Seconds = 60.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 35°19'0.0\"N, 137°7'60.0\"E", + "FINAL ANSWER: 35°19'0.0\"N, 137°7'60.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Santol", + "source_format": "DMS", + "source_string": "15°9'44.0\"N, 120°34'3.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "15.162220, 120.567500", + "latitude": 15.16222, + "longitude": 120.5675 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 15°9'44.0\"N, 120°34'3.0\"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: 15.16222°", + "Step 4: Calculate longitude", + " Longitude: 120.5675°", + "FINAL ANSWER: 15.162220, 120.567500" + ] + }, + { + "task": "format_conversion", + "location_name": "Fremont", + "source_format": "DMS", + "source_string": "41°25'60.0\"N, 96°29'53.1\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "41.433330, -96.498080", + "latitude": 41.43333, + "longitude": -96.49808 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 41°25'60.0\"N, 96°29'53.1\"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: 41.43333°", + "Step 4: Calculate longitude", + " Longitude: -96.49808°", + "FINAL ANSWER: 41.433330, -96.498080" + ] + }, + { + "task": "format_conversion", + "location_name": "Tongren", + "source_format": "DMS", + "source_string": "35°30'53.4\"N, 102°0'57.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "35.514830, 102.016000", + "latitude": 35.51483, + "longitude": 102.016 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 35°30'53.4\"N, 102°0'57.6\"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: 35.51483°", + "Step 4: Calculate longitude", + " Longitude: 102.016°", + "FINAL ANSWER: 35.514830, 102.016000" + ] + }, + { + "task": "format_conversion", + "location_name": "Benešov", + "source_format": "DMS", + "source_string": "49°46'53.8\"N, 14°41'13.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "49.781620, 14.686970", + "latitude": 49.78162, + "longitude": 14.68697 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 49°46'53.8\"N, 14°41'13.1\"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: 49.78162°", + "Step 4: Calculate longitude", + " Longitude: 14.68697°", + "FINAL ANSWER: 49.781620, 14.686970" + ] + }, + { + "task": "format_conversion", + "location_name": "Angamāli", + "source_format": "DMS", + "source_string": "10°11'26.0\"N, 76°23'16.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "10.190550, 76.387890", + "latitude": 10.19055, + "longitude": 76.38789 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 10°11'26.0\"N, 76°23'16.4\"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: 10.19055°", + "Step 4: Calculate longitude", + " Longitude: 76.38789°", + "FINAL ANSWER: 10.190550, 76.387890" + ] + }, + { + "task": "format_conversion", + "location_name": "Kota", + "source_format": "DD", + "source_string": "25.182540, 75.839070", + "target_format": "DMS", + "ground_truth": { + "target_string": "25°10'57.1\"N, 75°50'20.7\"E", + "latitude": 25.18254, + "longitude": 75.83907 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: 25.182540, 75.839070", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 25°10'57.1\"N, 75°50'20.7\"E", + "FINAL ANSWER: 25°10'57.1\"N, 75°50'20.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Nioro du Rip", + "source_format": "decimal_degrees", + "source_string": "13.750000, -15.800000", + "target_format": "DMS", + "ground_truth": { + "target_string": "13°45'0.0\"N, 15°48'0.0\"W", + "latitude": 13.75, + "longitude": -15.8 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 13.750000, -15.800000", + " Latitude: 13.75°", + " Longitude: -15.8°", + "Step 2: Convert latitude to DMS", + " Degrees = 13", + " Minutes = int((13.750000 - 13) × 60) = 45", + " Seconds = ((13.750000 - 13) × 60 - 45) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 15", + " Minutes = 48", + " Seconds = 0.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 13°45'0.0\"N, 15°48'0.0\"W", + "FINAL ANSWER: 13°45'0.0\"N, 15°48'0.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Young", + "source_format": "DMS", + "source_string": "32°41'54.4\"S, 57°37'36.9\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-32.698440, -57.626930", + "latitude": -32.69844, + "longitude": -57.62693 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 32°41'54.4\"S, 57°37'36.9\"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: -32.69844°", + "Step 4: Calculate longitude", + " Longitude: -57.62693°", + "FINAL ANSWER: -32.698440, -57.626930" + ] + }, + { + "task": "format_conversion", + "location_name": "Wakimachi", + "source_format": "DMS", + "source_string": "34°4'0.0\"N, 134°9'0.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "34.066670, 134.150000", + "latitude": 34.06667, + "longitude": 134.15 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 34°4'0.0\"N, 134°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: 34.06667°", + "Step 4: Calculate longitude", + " Longitude: 134.15°", + "FINAL ANSWER: 34.066670, 134.150000" + ] + }, + { + "task": "format_conversion", + "location_name": "Conceição do Araguaia", + "source_format": "decimal_degrees", + "source_string": "-8.264410, -49.269820", + "target_format": "DMS", + "ground_truth": { + "target_string": "8°15'51.9\"S, 49°16'11.4\"W", + "latitude": -8.26441, + "longitude": -49.26982 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -8.264410, -49.269820", + " Latitude: -8.26441°", + " Longitude: -49.26982°", + "Step 2: Convert latitude to DMS", + " Degrees = 8", + " Minutes = int((8.264410 - 8) × 60) = 15", + " Seconds = ((8.264410 - 8) × 60 - 15) × 60 = 51.9", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 49", + " Minutes = 16", + " Seconds = 11.4", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 8°15'51.9\"S, 49°16'11.4\"W", + "FINAL ANSWER: 8°15'51.9\"S, 49°16'11.4\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Cambrils", + "source_format": "decimal_degrees", + "source_string": "41.069970, 1.059490", + "target_format": "DMS", + "ground_truth": { + "target_string": "41°4'11.9\"N, 1°3'34.2\"E", + "latitude": 41.06997, + "longitude": 1.05949 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 41.069970, 1.059490", + " Latitude: 41.06997°", + " Longitude: 1.05949°", + "Step 2: Convert latitude to DMS", + " Degrees = 41", + " Minutes = int((41.069970 - 41) × 60) = 4", + " Seconds = ((41.069970 - 41) × 60 - 4) × 60 = 11.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 1", + " Minutes = 3", + " Seconds = 34.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 41°4'11.9\"N, 1°3'34.2\"E", + "FINAL ANSWER: 41°4'11.9\"N, 1°3'34.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Andria", + "source_format": "decimal_degrees", + "source_string": "41.231170, 16.297970", + "target_format": "DMS", + "ground_truth": { + "target_string": "41°13'52.2\"N, 16°17'52.7\"E", + "latitude": 41.23117, + "longitude": 16.29797 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 41.231170, 16.297970", + " Latitude: 41.23117°", + " Longitude: 16.29797°", + "Step 2: Convert latitude to DMS", + " Degrees = 41", + " Minutes = int((41.231170 - 41) × 60) = 13", + " Seconds = ((41.231170 - 41) × 60 - 13) × 60 = 52.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 16", + " Minutes = 17", + " Seconds = 52.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 41°13'52.2\"N, 16°17'52.7\"E", + "FINAL ANSWER: 41°13'52.2\"N, 16°17'52.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Monte Santo de Minas", + "source_format": "DMS", + "source_string": "21°11'23.0\"S, 46°58'49.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-21.189720, -46.980280", + "latitude": -21.18972, + "longitude": -46.98028 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 21°11'23.0\"S, 46°58'49.0\"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: -21.18972°", + "Step 4: Calculate longitude", + " Longitude: -46.98028°", + "FINAL ANSWER: -21.189720, -46.980280" + ] + }, + { + "task": "format_conversion", + "location_name": "Thala", + "source_format": "decimal_degrees", + "source_string": "35.572440, 8.670310", + "target_format": "DMS", + "ground_truth": { + "target_string": "35°34'20.8\"N, 8°40'13.1\"E", + "latitude": 35.57244, + "longitude": 8.67031 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 35.572440, 8.670310", + " Latitude: 35.57244°", + " Longitude: 8.67031°", + "Step 2: Convert latitude to DMS", + " Degrees = 35", + " Minutes = int((35.572440 - 35) × 60) = 34", + " Seconds = ((35.572440 - 35) × 60 - 34) × 60 = 20.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 8", + " Minutes = 40", + " Seconds = 13.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 35°34'20.8\"N, 8°40'13.1\"E", + "FINAL ANSWER: 35°34'20.8\"N, 8°40'13.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Gudivāda", + "source_format": "DMS", + "source_string": "16°26'7.7\"N, 80°59'44.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "16.435470, 80.995550", + "latitude": 16.43547, + "longitude": 80.99555 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 16°26'7.7\"N, 80°59'44.0\"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: 16.43547°", + "Step 4: Calculate longitude", + " Longitude: 80.99555°", + "FINAL ANSWER: 16.435470, 80.995550" + ] + }, + { + "task": "format_conversion", + "location_name": "Aoji-ri", + "source_format": "DMS", + "source_string": "42°31'18.6\"N, 130°23'44.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "42.521820, 130.395720", + "latitude": 42.52182, + "longitude": 130.39572 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 42°31'18.6\"N, 130°23'44.6\"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: 42.52182°", + "Step 4: Calculate longitude", + " Longitude: 130.39572°", + "FINAL ANSWER: 42.521820, 130.395720" + ] + }, + { + "task": "format_conversion", + "location_name": "Manjakandriana", + "source_format": "decimal_degrees", + "source_string": "-18.916670, 47.800000", + "target_format": "DMS", + "ground_truth": { + "target_string": "18°55'0.0\"S, 47°47'60.0\"E", + "latitude": -18.91667, + "longitude": 47.8 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -18.916670, 47.800000", + " Latitude: -18.91667°", + " Longitude: 47.8°", + "Step 2: Convert latitude to DMS", + " Degrees = 18", + " Minutes = int((18.916670 - 18) × 60) = 55", + " Seconds = ((18.916670 - 18) × 60 - 55) × 60 = 0.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 47", + " Minutes = 47", + " Seconds = 60.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 18°55'0.0\"S, 47°47'60.0\"E", + "FINAL ANSWER: 18°55'0.0\"S, 47°47'60.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Aguilares", + "source_format": "decimal_degrees", + "source_string": "-27.431500, -65.614650", + "target_format": "DMS", + "ground_truth": { + "target_string": "27°25'53.4\"S, 65°36'52.7\"W", + "latitude": -27.4315, + "longitude": -65.61465 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -27.431500, -65.614650", + " Latitude: -27.4315°", + " Longitude: -65.61465°", + "Step 2: Convert latitude to DMS", + " Degrees = 27", + " Minutes = int((27.431500 - 27) × 60) = 25", + " Seconds = ((27.431500 - 27) × 60 - 25) × 60 = 53.4", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 65", + " Minutes = 36", + " Seconds = 52.7", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 27°25'53.4\"S, 65°36'52.7\"W", + "FINAL ANSWER: 27°25'53.4\"S, 65°36'52.7\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Mangueirinha", + "source_format": "DMS", + "source_string": "25°56'28.0\"S, 52°10'32.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-25.941110, -52.175560", + "latitude": -25.94111, + "longitude": -52.17556 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 25°56'28.0\"S, 52°10'32.0\"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: -25.94111°", + "Step 4: Calculate longitude", + " Longitude: -52.17556°", + "FINAL ANSWER: -25.941110, -52.175560" + ] + }, + { + "task": "format_conversion", + "location_name": "Tanashichō", + "source_format": "DMS", + "source_string": "35°43'45.2\"N, 139°32'17.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "35.729220, 139.538130", + "latitude": 35.72922, + "longitude": 139.53813 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 35°43'45.2\"N, 139°32'17.3\"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: 35.72922°", + "Step 4: Calculate longitude", + " Longitude: 139.53813°", + "FINAL ANSWER: 35.729220, 139.538130" + ] + }, + { + "task": "format_conversion", + "location_name": "Kūrāli", + "source_format": "DMS", + "source_string": "30°50'3.3\"N, 76°34'36.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "30.834240, 76.576770", + "latitude": 30.83424, + "longitude": 76.57677 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 30°50'3.3\"N, 76°34'36.4\"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: 30.83424°", + "Step 4: Calculate longitude", + " Longitude: 76.57677°", + "FINAL ANSWER: 30.834240, 76.576770" + ] + }, + { + "task": "format_conversion", + "location_name": "San Antonio de los Baños", + "source_format": "decimal_degrees", + "source_string": "22.890180, -82.500990", + "target_format": "DMS", + "ground_truth": { + "target_string": "22°53'24.6\"N, 82°30'3.6\"W", + "latitude": 22.89018, + "longitude": -82.50099 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 22.890180, -82.500990", + " Latitude: 22.89018°", + " Longitude: -82.50099°", + "Step 2: Convert latitude to DMS", + " Degrees = 22", + " Minutes = int((22.890180 - 22) × 60) = 53", + " Seconds = ((22.890180 - 22) × 60 - 53) × 60 = 24.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 82", + " Minutes = 30", + " Seconds = 3.6", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 22°53'24.6\"N, 82°30'3.6\"W", + "FINAL ANSWER: 22°53'24.6\"N, 82°30'3.6\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Venice", + "source_format": "DMS", + "source_string": "33°59'27.0\"N, 118°27'36.3\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "33.990840, -118.460080", + "latitude": 33.99084, + "longitude": -118.46008 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 33°59'27.0\"N, 118°27'36.3\"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: 33.99084°", + "Step 4: Calculate longitude", + " Longitude: -118.46008°", + "FINAL ANSWER: 33.990840, -118.460080" + ] + }, + { + "task": "format_conversion", + "location_name": "Santo Antônio do Descoberto", + "source_format": "DMS", + "source_string": "15°56'23.0\"S, 48°15'18.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-15.939720, -48.255000", + "latitude": -15.93972, + "longitude": -48.255 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 15°56'23.0\"S, 48°15'18.0\"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: -15.93972°", + "Step 4: Calculate longitude", + " Longitude: -48.255°", + "FINAL ANSWER: -15.939720, -48.255000" + ] + }, + { + "task": "format_conversion", + "location_name": "Awlād Şaqr", + "source_format": "decimal_degrees", + "source_string": "30.930550, 31.698640", + "target_format": "DMS", + "ground_truth": { + "target_string": "30°55'50.0\"N, 31°41'55.1\"E", + "latitude": 30.93055, + "longitude": 31.69864 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 30.930550, 31.698640", + " Latitude: 30.93055°", + " Longitude: 31.69864°", + "Step 2: Convert latitude to DMS", + " Degrees = 30", + " Minutes = int((30.930550 - 30) × 60) = 55", + " Seconds = ((30.930550 - 30) × 60 - 55) × 60 = 50.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 31", + " Minutes = 41", + " Seconds = 55.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 30°55'50.0\"N, 31°41'55.1\"E", + "FINAL ANSWER: 30°55'50.0\"N, 31°41'55.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Recodo", + "source_format": "decimal_degrees", + "source_string": "6.951940, 121.963610", + "target_format": "DMS", + "ground_truth": { + "target_string": "6°57'7.0\"N, 121°57'49.0\"E", + "latitude": 6.95194, + "longitude": 121.96361 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 6.951940, 121.963610", + " Latitude: 6.95194°", + " Longitude: 121.96361°", + "Step 2: Convert latitude to DMS", + " Degrees = 6", + " Minutes = int((6.951940 - 6) × 60) = 57", + " Seconds = ((6.951940 - 6) × 60 - 57) × 60 = 7.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 121", + " Minutes = 57", + " Seconds = 49.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 6°57'7.0\"N, 121°57'49.0\"E", + "FINAL ANSWER: 6°57'7.0\"N, 121°57'49.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Zizhuang", + "source_format": "DD", + "source_string": "34.361520, 117.488160", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°21'41.5\"N, 117°29'17.4\"E", + "latitude": 34.36152, + "longitude": 117.48816 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: 34.361520, 117.488160", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 34°21'41.5\"N, 117°29'17.4\"E", + "FINAL ANSWER: 34°21'41.5\"N, 117°29'17.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Ramsey", + "source_format": "DMS", + "source_string": "45°15'40.0\"N, 93°27'0.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "45.261100, -93.450000", + "latitude": 45.2611, + "longitude": -93.45 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 45°15'40.0\"N, 93°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: 45.2611°", + "Step 4: Calculate longitude", + " Longitude: -93.45°", + "FINAL ANSWER: 45.261100, -93.450000" + ] + }, + { + "task": "format_conversion", + "location_name": "Dęblin", + "source_format": "decimal_degrees", + "source_string": "51.559120, 21.848290", + "target_format": "DMS", + "ground_truth": { + "target_string": "51°33'32.8\"N, 21°50'53.8\"E", + "latitude": 51.55912, + "longitude": 21.84829 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 51.559120, 21.848290", + " Latitude: 51.55912°", + " Longitude: 21.84829°", + "Step 2: Convert latitude to DMS", + " Degrees = 51", + " Minutes = int((51.559120 - 51) × 60) = 33", + " Seconds = ((51.559120 - 51) × 60 - 33) × 60 = 32.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 21", + " Minutes = 50", + " Seconds = 53.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 51°33'32.8\"N, 21°50'53.8\"E", + "FINAL ANSWER: 51°33'32.8\"N, 21°50'53.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Wewak", + "source_format": "DMS", + "source_string": "3°32'58.7\"S, 143°37'56.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-3.549640, 143.632290", + "latitude": -3.54964, + "longitude": 143.63229 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 3°32'58.7\"S, 143°37'56.2\"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: -3.54964°", + "Step 4: Calculate longitude", + " Longitude: 143.63229°", + "FINAL ANSWER: -3.549640, 143.632290" + ] + }, + { + "task": "format_conversion", + "location_name": "Láng Thượng", + "source_format": "decimal_degrees", + "source_string": "21.023740, 105.803600", + "target_format": "DMS", + "ground_truth": { + "target_string": "21°1'25.5\"N, 105°48'13.0\"E", + "latitude": 21.02374, + "longitude": 105.8036 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 21.023740, 105.803600", + " Latitude: 21.02374°", + " Longitude: 105.8036°", + "Step 2: Convert latitude to DMS", + " Degrees = 21", + " Minutes = int((21.023740 - 21) × 60) = 1", + " Seconds = ((21.023740 - 21) × 60 - 1) × 60 = 25.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 105", + " Minutes = 48", + " Seconds = 13.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 21°1'25.5\"N, 105°48'13.0\"E", + "FINAL ANSWER: 21°1'25.5\"N, 105°48'13.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Malaṅgawā", + "source_format": "DMS", + "source_string": "26°51'23.7\"N, 85°33'33.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "26.856580, 85.559400", + "latitude": 26.85658, + "longitude": 85.5594 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 26°51'23.7\"N, 85°33'33.8\"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: 26.85658°", + "Step 4: Calculate longitude", + " Longitude: 85.5594°", + "FINAL ANSWER: 26.856580, 85.559400" + ] + }, + { + "task": "format_conversion", + "location_name": "Rincón de la Victoria", + "source_format": "decimal_degrees", + "source_string": "36.717150, -4.275830", + "target_format": "DMS", + "ground_truth": { + "target_string": "36°43'1.7\"N, 4°16'33.0\"W", + "latitude": 36.71715, + "longitude": -4.27583 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 36.717150, -4.275830", + " Latitude: 36.71715°", + " Longitude: -4.27583°", + "Step 2: Convert latitude to DMS", + " Degrees = 36", + " Minutes = int((36.717150 - 36) × 60) = 43", + " Seconds = ((36.717150 - 36) × 60 - 43) × 60 = 1.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 4", + " Minutes = 16", + " Seconds = 33.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 36°43'1.7\"N, 4°16'33.0\"W", + "FINAL ANSWER: 36°43'1.7\"N, 4°16'33.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Werder", + "source_format": "DMS", + "source_string": "52°22'43.5\"N, 12°56'2.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "52.378740, 12.934000", + "latitude": 52.37874, + "longitude": 12.934 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 52°22'43.5\"N, 12°56'2.4\"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: 52.37874°", + "Step 4: Calculate longitude", + " Longitude: 12.934°", + "FINAL ANSWER: 52.378740, 12.934000" + ] + }, + { + "task": "format_conversion", + "location_name": "Seesen", + "source_format": "DMS", + "source_string": "51°53'27.4\"N, 10°10'42.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "51.890950, 10.178470", + "latitude": 51.89095, + "longitude": 10.17847 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 51°53'27.4\"N, 10°10'42.5\"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: 51.89095°", + "Step 4: Calculate longitude", + " Longitude: 10.17847°", + "FINAL ANSWER: 51.890950, 10.178470" + ] + }, + { + "task": "format_conversion", + "location_name": "Orvault", + "source_format": "decimal_degrees", + "source_string": "47.271170, -1.623610", + "target_format": "DMS", + "ground_truth": { + "target_string": "47°16'16.2\"N, 1°37'25.0\"W", + "latitude": 47.27117, + "longitude": -1.62361 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 47.271170, -1.623610", + " Latitude: 47.27117°", + " Longitude: -1.62361°", + "Step 2: Convert latitude to DMS", + " Degrees = 47", + " Minutes = int((47.271170 - 47) × 60) = 16", + " Seconds = ((47.271170 - 47) × 60 - 16) × 60 = 16.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 1", + " Minutes = 37", + " Seconds = 25.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 47°16'16.2\"N, 1°37'25.0\"W", + "FINAL ANSWER: 47°16'16.2\"N, 1°37'25.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Copacabana", + "source_format": "DMS", + "source_string": "6°20'46.8\"N, 75°30'32.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "6.346330, -75.508880", + "latitude": 6.34633, + "longitude": -75.50888 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 6°20'46.8\"N, 75°30'32.0\"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: 6.34633°", + "Step 4: Calculate longitude", + " Longitude: -75.50888°", + "FINAL ANSWER: 6.346330, -75.508880" + ] + }, + { + "task": "format_conversion", + "location_name": "São Gonçalo do Sapucaí", + "source_format": "DMS", + "source_string": "21°53'32.0\"S, 45°35'43.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-21.892220, -45.595280", + "latitude": -21.89222, + "longitude": -45.59528 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 21°53'32.0\"S, 45°35'43.0\"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: -21.89222°", + "Step 4: Calculate longitude", + " Longitude: -45.59528°", + "FINAL ANSWER: -21.892220, -45.595280" + ] + }, + { + "task": "format_conversion", + "location_name": "Lalla Mimouna", + "source_format": "decimal_degrees", + "source_string": "34.846060, -6.066450", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°50'45.8\"N, 6°3'59.2\"W", + "latitude": 34.84606, + "longitude": -6.06645 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 34.846060, -6.066450", + " Latitude: 34.84606°", + " Longitude: -6.06645°", + "Step 2: Convert latitude to DMS", + " Degrees = 34", + " Minutes = int((34.846060 - 34) × 60) = 50", + " Seconds = ((34.846060 - 34) × 60 - 50) × 60 = 45.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 6", + " Minutes = 3", + " Seconds = 59.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 34°50'45.8\"N, 6°3'59.2\"W", + "FINAL ANSWER: 34°50'45.8\"N, 6°3'59.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Colmenar Viejo", + "source_format": "DMS", + "source_string": "40°39'32.7\"N, 3°46'3.4\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.659090, -3.767620", + "latitude": 40.65909, + "longitude": -3.76762 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°39'32.7\"N, 3°46'3.4\"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: 40.65909°", + "Step 4: Calculate longitude", + " Longitude: -3.76762°", + "FINAL ANSWER: 40.659090, -3.767620" + ] + }, + { + "task": "format_conversion", + "location_name": "Sakon Nakhon", + "source_format": "DMS", + "source_string": "17°9'40.2\"N, 104°8'50.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "17.161160, 104.147250", + "latitude": 17.16116, + "longitude": 104.14725 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 17°9'40.2\"N, 104°8'50.1\"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: 17.16116°", + "Step 4: Calculate longitude", + " Longitude: 104.14725°", + "FINAL ANSWER: 17.161160, 104.147250" + ] + }, + { + "task": "format_conversion", + "location_name": "Kongolo", + "source_format": "DMS", + "source_string": "5°23'7.2\"S, 27°0'1.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-5.385320, 27.000290", + "latitude": -5.38532, + "longitude": 27.00029 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 5°23'7.2\"S, 27°0'1.0\"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: -5.38532°", + "Step 4: Calculate longitude", + " Longitude: 27.00029°", + "FINAL ANSWER: -5.385320, 27.000290" + ] + }, + { + "task": "format_conversion", + "location_name": "Taman Petaling", + "source_format": "decimal_degrees", + "source_string": "3.199160, 101.649830", + "target_format": "DMS", + "ground_truth": { + "target_string": "3°11'57.0\"N, 101°38'59.4\"E", + "latitude": 3.19916, + "longitude": 101.64983 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 3.199160, 101.649830", + " Latitude: 3.19916°", + " Longitude: 101.64983°", + "Step 2: Convert latitude to DMS", + " Degrees = 3", + " Minutes = int((3.199160 - 3) × 60) = 11", + " Seconds = ((3.199160 - 3) × 60 - 11) × 60 = 57.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 101", + " Minutes = 38", + " Seconds = 59.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 3°11'57.0\"N, 101°38'59.4\"E", + "FINAL ANSWER: 3°11'57.0\"N, 101°38'59.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Bracebridge", + "source_format": "DMS", + "source_string": "45°2'0.3\"N, 79°18'58.8\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "45.033410, -79.316330", + "latitude": 45.03341, + "longitude": -79.31633 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 45°2'0.3\"N, 79°18'58.8\"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: 45.03341°", + "Step 4: Calculate longitude", + " Longitude: -79.31633°", + "FINAL ANSWER: 45.033410, -79.316330" + ] + }, + { + "task": "format_conversion", + "location_name": "Las Águilas", + "source_format": "decimal_degrees", + "source_string": "40.381800, -3.771090", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°22'54.5\"N, 3°46'15.9\"W", + "latitude": 40.3818, + "longitude": -3.77109 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.381800, -3.771090", + " Latitude: 40.3818°", + " Longitude: -3.77109°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.381800 - 40) × 60) = 22", + " Seconds = ((40.381800 - 40) × 60 - 22) × 60 = 54.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 3", + " Minutes = 46", + " Seconds = 15.9", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 40°22'54.5\"N, 3°46'15.9\"W", + "FINAL ANSWER: 40°22'54.5\"N, 3°46'15.9\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Surendranagar", + "source_format": "decimal_degrees", + "source_string": "22.727060, 71.648560", + "target_format": "DMS", + "ground_truth": { + "target_string": "22°43'37.4\"N, 71°38'54.8\"E", + "latitude": 22.72706, + "longitude": 71.64856 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 22.727060, 71.648560", + " Latitude: 22.72706°", + " Longitude: 71.64856°", + "Step 2: Convert latitude to DMS", + " Degrees = 22", + " Minutes = int((22.727060 - 22) × 60) = 43", + " Seconds = ((22.727060 - 22) × 60 - 43) × 60 = 37.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 71", + " Minutes = 38", + " Seconds = 54.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 22°43'37.4\"N, 71°38'54.8\"E", + "FINAL ANSWER: 22°43'37.4\"N, 71°38'54.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Romainville", + "source_format": "decimal_degrees", + "source_string": "48.885400, 2.434820", + "target_format": "DMS", + "ground_truth": { + "target_string": "48°53'7.4\"N, 2°26'5.4\"E", + "latitude": 48.8854, + "longitude": 2.43482 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 48.885400, 2.434820", + " Latitude: 48.8854°", + " Longitude: 2.43482°", + "Step 2: Convert latitude to DMS", + " Degrees = 48", + " Minutes = int((48.885400 - 48) × 60) = 53", + " Seconds = ((48.885400 - 48) × 60 - 53) × 60 = 7.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 2", + " Minutes = 26", + " Seconds = 5.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 48°53'7.4\"N, 2°26'5.4\"E", + "FINAL ANSWER: 48°53'7.4\"N, 2°26'5.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Shimoda", + "source_format": "DMS", + "source_string": "34°40'35.5\"N, 138°56'40.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "34.676520, 138.944560", + "latitude": 34.67652, + "longitude": 138.94456 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 34°40'35.5\"N, 138°56'40.4\"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: 34.67652°", + "Step 4: Calculate longitude", + " Longitude: 138.94456°", + "FINAL ANSWER: 34.676520, 138.944560" + ] + }, + { + "task": "format_conversion", + "location_name": "Karachi University Employees Co-operative Housing Society", + "source_format": "DMS", + "source_string": "24°57'46.1\"N, 67°7'9.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "24.962810, 67.119370", + "latitude": 24.96281, + "longitude": 67.11937 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 24°57'46.1\"N, 67°7'9.7\"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: 24.96281°", + "Step 4: Calculate longitude", + " Longitude: 67.11937°", + "FINAL ANSWER: 24.962810, 67.119370" + ] + }, + { + "task": "format_conversion", + "location_name": "Alfornelos", + "source_format": "decimal_degrees", + "source_string": "38.760980, -9.205080", + "target_format": "DMS", + "ground_truth": { + "target_string": "38°45'39.5\"N, 9°12'18.3\"W", + "latitude": 38.76098, + "longitude": -9.20508 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 38.760980, -9.205080", + " Latitude: 38.76098°", + " Longitude: -9.20508°", + "Step 2: Convert latitude to DMS", + " Degrees = 38", + " Minutes = int((38.760980 - 38) × 60) = 45", + " Seconds = ((38.760980 - 38) × 60 - 45) × 60 = 39.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 9", + " Minutes = 12", + " Seconds = 18.3", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 38°45'39.5\"N, 9°12'18.3\"W", + "FINAL ANSWER: 38°45'39.5\"N, 9°12'18.3\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Cessnock", + "source_format": "DMS", + "source_string": "32°49'55.6\"S, 151°21'22.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-32.832110, 151.356230", + "latitude": -32.83211, + "longitude": 151.35623 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 32°49'55.6\"S, 151°21'22.4\"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: -32.83211°", + "Step 4: Calculate longitude", + " Longitude: 151.35623°", + "FINAL ANSWER: -32.832110, 151.356230" + ] + }, + { + "task": "format_conversion", + "location_name": "Sidi Rahal", + "source_format": "DMS", + "source_string": "33°28'38.6\"N, 7°56'11.1\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "33.477390, -7.936410", + "latitude": 33.47739, + "longitude": -7.93641 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 33°28'38.6\"N, 7°56'11.1\"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: 33.47739°", + "Step 4: Calculate longitude", + " Longitude: -7.93641°", + "FINAL ANSWER: 33.477390, -7.936410" + ] + }, + { + "task": "format_conversion", + "location_name": "Santa Elena de Uairén", + "source_format": "decimal_degrees", + "source_string": "4.602260, -61.110250", + "target_format": "DMS", + "ground_truth": { + "target_string": "4°36'8.1\"N, 61°6'36.9\"W", + "latitude": 4.60226, + "longitude": -61.11025 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 4.602260, -61.110250", + " Latitude: 4.60226°", + " Longitude: -61.11025°", + "Step 2: Convert latitude to DMS", + " Degrees = 4", + " Minutes = int((4.602260 - 4) × 60) = 36", + " Seconds = ((4.602260 - 4) × 60 - 36) × 60 = 8.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 61", + " Minutes = 6", + " Seconds = 36.9", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 4°36'8.1\"N, 61°6'36.9\"W", + "FINAL ANSWER: 4°36'8.1\"N, 61°6'36.9\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Deesa", + "source_format": "decimal_degrees", + "source_string": "24.256120, 72.179280", + "target_format": "DMS", + "ground_truth": { + "target_string": "24°15'22.0\"N, 72°10'45.4\"E", + "latitude": 24.25612, + "longitude": 72.17928 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 24.256120, 72.179280", + " Latitude: 24.25612°", + " Longitude: 72.17928°", + "Step 2: Convert latitude to DMS", + " Degrees = 24", + " Minutes = int((24.256120 - 24) × 60) = 15", + " Seconds = ((24.256120 - 24) × 60 - 15) × 60 = 22.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 72", + " Minutes = 10", + " Seconds = 45.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 24°15'22.0\"N, 72°10'45.4\"E", + "FINAL ANSWER: 24°15'22.0\"N, 72°10'45.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Tūnēri", + "source_format": "DMS", + "source_string": "11°41'49.2\"N, 75°38'5.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "11.696990, 75.634910", + "latitude": 11.69699, + "longitude": 75.63491 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 11°41'49.2\"N, 75°38'5.7\"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: 11.69699°", + "Step 4: Calculate longitude", + " Longitude: 75.63491°", + "FINAL ANSWER: 11.696990, 75.634910" + ] + }, + { + "task": "format_conversion", + "location_name": "Andreyevskoye", + "source_format": "decimal_degrees", + "source_string": "55.554870, 37.925660", + "target_format": "DMS", + "ground_truth": { + "target_string": "55°33'17.5\"N, 37°55'32.4\"E", + "latitude": 55.55487, + "longitude": 37.92566 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 55.554870, 37.925660", + " Latitude: 55.55487°", + " Longitude: 37.92566°", + "Step 2: Convert latitude to DMS", + " Degrees = 55", + " Minutes = int((55.554870 - 55) × 60) = 33", + " Seconds = ((55.554870 - 55) × 60 - 33) × 60 = 17.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 37", + " Minutes = 55", + " Seconds = 32.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 55°33'17.5\"N, 37°55'32.4\"E", + "FINAL ANSWER: 55°33'17.5\"N, 37°55'32.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Gryazovets", + "source_format": "DMS", + "source_string": "58°52'48.0\"N, 40°15'9.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "58.880000, 40.252500", + "latitude": 58.88, + "longitude": 40.2525 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 58°52'48.0\"N, 40°15'9.0\"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: 58.88°", + "Step 4: Calculate longitude", + " Longitude: 40.2525°", + "FINAL ANSWER: 58.880000, 40.252500" + ] + }, + { + "task": "format_conversion", + "location_name": "Kanhān", + "source_format": "DMS", + "source_string": "21°13'44.4\"N, 79°14'23.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "21.228990, 79.239800", + "latitude": 21.22899, + "longitude": 79.2398 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 21°13'44.4\"N, 79°14'23.3\"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: 21.22899°", + "Step 4: Calculate longitude", + " Longitude: 79.2398°", + "FINAL ANSWER: 21.228990, 79.239800" + ] + }, + { + "task": "format_conversion", + "location_name": "Kamyzyak", + "source_format": "decimal_degrees", + "source_string": "46.105020, 48.078230", + "target_format": "DMS", + "ground_truth": { + "target_string": "46°6'18.1\"N, 48°4'41.6\"E", + "latitude": 46.10502, + "longitude": 48.07823 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 46.105020, 48.078230", + " Latitude: 46.10502°", + " Longitude: 48.07823°", + "Step 2: Convert latitude to DMS", + " Degrees = 46", + " Minutes = int((46.105020 - 46) × 60) = 6", + " Seconds = ((46.105020 - 46) × 60 - 6) × 60 = 18.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 48", + " Minutes = 4", + " Seconds = 41.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 46°6'18.1\"N, 48°4'41.6\"E", + "FINAL ANSWER: 46°6'18.1\"N, 48°4'41.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kadoma", + "source_format": "DMS", + "source_string": "34°44'17.2\"N, 135°34'27.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "34.738100, 135.574420", + "latitude": 34.7381, + "longitude": 135.57442 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 34°44'17.2\"N, 135°34'27.9\"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: 34.7381°", + "Step 4: Calculate longitude", + " Longitude: 135.57442°", + "FINAL ANSWER: 34.738100, 135.574420" + ] + }, + { + "task": "format_conversion", + "location_name": "Māranchēri", + "source_format": "decimal_degrees", + "source_string": "10.740510, 75.970960", + "target_format": "DMS", + "ground_truth": { + "target_string": "10°44'25.8\"N, 75°58'15.5\"E", + "latitude": 10.74051, + "longitude": 75.97096 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 10.740510, 75.970960", + " Latitude: 10.74051°", + " Longitude: 75.97096°", + "Step 2: Convert latitude to DMS", + " Degrees = 10", + " Minutes = int((10.740510 - 10) × 60) = 44", + " Seconds = ((10.740510 - 10) × 60 - 44) × 60 = 25.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 75", + " Minutes = 58", + " Seconds = 15.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 10°44'25.8\"N, 75°58'15.5\"E", + "FINAL ANSWER: 10°44'25.8\"N, 75°58'15.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "East Harlem", + "source_format": "decimal_degrees", + "source_string": "40.794720, -73.942500", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°47'41.0\"N, 73°56'33.0\"W", + "latitude": 40.79472, + "longitude": -73.9425 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.794720, -73.942500", + " Latitude: 40.79472°", + " Longitude: -73.9425°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.794720 - 40) × 60) = 47", + " Seconds = ((40.794720 - 40) × 60 - 47) × 60 = 41.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 73", + " Minutes = 56", + " Seconds = 33.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 40°47'41.0\"N, 73°56'33.0\"W", + "FINAL ANSWER: 40°47'41.0\"N, 73°56'33.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Metrogorodok", + "source_format": "DMS", + "source_string": "55°48'34.6\"N, 37°47'14.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "55.809610, 37.787390", + "latitude": 55.80961, + "longitude": 37.78739 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 55°48'34.6\"N, 37°47'14.6\"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: 55.80961°", + "Step 4: Calculate longitude", + " Longitude: 37.78739°", + "FINAL ANSWER: 55.809610, 37.787390" + ] + }, + { + "task": "format_conversion", + "location_name": "Jaguaré", + "source_format": "decimal_degrees", + "source_string": "-18.905560, -40.076110", + "target_format": "DMS", + "ground_truth": { + "target_string": "18°54'20.0\"S, 40°4'34.0\"W", + "latitude": -18.90556, + "longitude": -40.07611 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -18.905560, -40.076110", + " Latitude: -18.90556°", + " Longitude: -40.07611°", + "Step 2: Convert latitude to DMS", + " Degrees = 18", + " Minutes = int((18.905560 - 18) × 60) = 54", + " Seconds = ((18.905560 - 18) × 60 - 54) × 60 = 20.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 40", + " Minutes = 4", + " Seconds = 34.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 18°54'20.0\"S, 40°4'34.0\"W", + "FINAL ANSWER: 18°54'20.0\"S, 40°4'34.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Makinsk", + "source_format": "DMS", + "source_string": "52°37'58.4\"N, 70°25'8.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "52.632900, 70.419110", + "latitude": 52.6329, + "longitude": 70.41911 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 52°37'58.4\"N, 70°25'8.8\"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: 52.6329°", + "Step 4: Calculate longitude", + " Longitude: 70.41911°", + "FINAL ANSWER: 52.632900, 70.419110" + ] + }, + { + "task": "format_conversion", + "location_name": "Kaili", + "source_format": "decimal_degrees", + "source_string": "26.585830, 107.979720", + "target_format": "DMS", + "ground_truth": { + "target_string": "26°35'9.0\"N, 107°58'47.0\"E", + "latitude": 26.58583, + "longitude": 107.97972 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 26.585830, 107.979720", + " Latitude: 26.58583°", + " Longitude: 107.97972°", + "Step 2: Convert latitude to DMS", + " Degrees = 26", + " Minutes = int((26.585830 - 26) × 60) = 35", + " Seconds = ((26.585830 - 26) × 60 - 35) × 60 = 9.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 107", + " Minutes = 58", + " Seconds = 47.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 26°35'9.0\"N, 107°58'47.0\"E", + "FINAL ANSWER: 26°35'9.0\"N, 107°58'47.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Artigas", + "source_format": "DMS", + "source_string": "30°24'15.5\"S, 56°28'9.3\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-30.404310, -56.469260", + "latitude": -30.40431, + "longitude": -56.46926 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 30°24'15.5\"S, 56°28'9.3\"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: -30.40431°", + "Step 4: Calculate longitude", + " Longitude: -56.46926°", + "FINAL ANSWER: -30.404310, -56.469260" + ] + }, + { + "task": "format_conversion", + "location_name": "Gongping", + "source_format": "DMS", + "source_string": "31°7'37.0\"N, 109°11'50.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "31.126950, 109.197220", + "latitude": 31.12695, + "longitude": 109.19722 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 31°7'37.0\"N, 109°11'50.0\"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: 31.12695°", + "Step 4: Calculate longitude", + " Longitude: 109.19722°", + "FINAL ANSWER: 31.126950, 109.197220" + ] + }, + { + "task": "format_conversion", + "location_name": "Kotel’nikovo", + "source_format": "DMS", + "source_string": "47°37'48.4\"N, 43°8'29.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "47.630120, 43.141580", + "latitude": 47.63012, + "longitude": 43.14158 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 47°37'48.4\"N, 43°8'29.7\"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: 47.63012°", + "Step 4: Calculate longitude", + " Longitude: 43.14158°", + "FINAL ANSWER: 47.630120, 43.141580" + ] + }, + { + "task": "format_conversion", + "location_name": "Legionowo", + "source_format": "decimal_degrees", + "source_string": "52.401490, 20.926640", + "target_format": "DMS", + "ground_truth": { + "target_string": "52°24'5.4\"N, 20°55'35.9\"E", + "latitude": 52.40149, + "longitude": 20.92664 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 52.401490, 20.926640", + " Latitude: 52.40149°", + " Longitude: 20.92664°", + "Step 2: Convert latitude to DMS", + " Degrees = 52", + " Minutes = int((52.401490 - 52) × 60) = 24", + " Seconds = ((52.401490 - 52) × 60 - 24) × 60 = 5.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 20", + " Minutes = 55", + " Seconds = 35.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 52°24'5.4\"N, 20°55'35.9\"E", + "FINAL ANSWER: 52°24'5.4\"N, 20°55'35.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Sydney Central Business District", + "source_format": "DMS", + "source_string": "33°51'53.4\"S, 151°12'27.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-33.864820, 151.207730", + "latitude": -33.86482, + "longitude": 151.20773 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 33°51'53.4\"S, 151°12'27.8\"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: -33.86482°", + "Step 4: Calculate longitude", + " Longitude: 151.20773°", + "FINAL ANSWER: -33.864820, 151.207730" + ] + }, + { + "task": "format_conversion", + "location_name": "Discovery Park", + "source_format": "DMS", + "source_string": "22°22'34.4\"N, 114°6'41.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "22.376210, 114.111410", + "latitude": 22.37621, + "longitude": 114.11141 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 22°22'34.4\"N, 114°6'41.1\"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: 22.37621°", + "Step 4: Calculate longitude", + " Longitude: 114.11141°", + "FINAL ANSWER: 22.376210, 114.111410" + ] + }, + { + "task": "format_conversion", + "location_name": "Varkala", + "source_format": "DMS", + "source_string": "8°43'59.9\"N, 76°43'0.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "8.733300, 76.716700", + "latitude": 8.7333, + "longitude": 76.7167 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 8°43'59.9\"N, 76°43'0.1\"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: 8.7333°", + "Step 4: Calculate longitude", + " Longitude: 76.7167°", + "FINAL ANSWER: 8.733300, 76.716700" + ] + }, + { + "task": "format_conversion", + "location_name": "Volta Redonda", + "source_format": "decimal_degrees", + "source_string": "-22.523060, -44.104170", + "target_format": "DMS", + "ground_truth": { + "target_string": "22°31'23.0\"S, 44°6'15.0\"W", + "latitude": -22.52306, + "longitude": -44.10417 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -22.523060, -44.104170", + " Latitude: -22.52306°", + " Longitude: -44.10417°", + "Step 2: Convert latitude to DMS", + " Degrees = 22", + " Minutes = int((22.523060 - 22) × 60) = 31", + " Seconds = ((22.523060 - 22) × 60 - 31) × 60 = 23.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 44", + " Minutes = 6", + " Seconds = 15.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 22°31'23.0\"S, 44°6'15.0\"W", + "FINAL ANSWER: 22°31'23.0\"S, 44°6'15.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Falconara Marittima", + "source_format": "DMS", + "source_string": "43°37'32.1\"N, 13°23'58.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "43.625580, 13.399540", + "latitude": 43.62558, + "longitude": 13.39954 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 43°37'32.1\"N, 13°23'58.3\"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: 43.62558°", + "Step 4: Calculate longitude", + " Longitude: 13.39954°", + "FINAL ANSWER: 43.625580, 13.399540" + ] + }, + { + "task": "format_conversion", + "location_name": "Protvino", + "source_format": "DMS", + "source_string": "54°52'5.6\"N, 37°12'57.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "54.868210, 37.215830", + "latitude": 54.86821, + "longitude": 37.21583 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 54°52'5.6\"N, 37°12'57.0\"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: 54.86821°", + "Step 4: Calculate longitude", + " Longitude: 37.21583°", + "FINAL ANSWER: 54.868210, 37.215830" + ] + }, + { + "task": "format_conversion", + "location_name": "Rejas", + "source_format": "DMS", + "source_string": "40°26'42.3\"N, 3°34'12.6\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.445090, -3.570160", + "latitude": 40.44509, + "longitude": -3.57016 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°26'42.3\"N, 3°34'12.6\"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: 40.44509°", + "Step 4: Calculate longitude", + " Longitude: -3.57016°", + "FINAL ANSWER: 40.445090, -3.570160" + ] + }, + { + "task": "format_conversion", + "location_name": "Chigorodó", + "source_format": "DMS", + "source_string": "7°39'59.0\"N, 76°40'51.8\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "7.666380, -76.681060", + "latitude": 7.66638, + "longitude": -76.68106 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 7°39'59.0\"N, 76°40'51.8\"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: 7.66638°", + "Step 4: Calculate longitude", + " Longitude: -76.68106°", + "FINAL ANSWER: 7.666380, -76.681060" + ] + }, + { + "task": "format_conversion", + "location_name": "Caltagirone", + "source_format": "DMS", + "source_string": "37°14'16.3\"N, 14°30'55.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "37.237850, 14.515510", + "latitude": 37.23785, + "longitude": 14.51551 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 37°14'16.3\"N, 14°30'55.8\"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: 37.23785°", + "Step 4: Calculate longitude", + " Longitude: 14.51551°", + "FINAL ANSWER: 37.237850, 14.515510" + ] + }, + { + "task": "format_conversion", + "location_name": "Boguszów-Gorce", + "source_format": "decimal_degrees", + "source_string": "50.755140, 16.204940", + "target_format": "DMS", + "ground_truth": { + "target_string": "50°45'18.5\"N, 16°12'17.8\"E", + "latitude": 50.75514, + "longitude": 16.20494 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 50.755140, 16.204940", + " Latitude: 50.75514°", + " Longitude: 16.20494°", + "Step 2: Convert latitude to DMS", + " Degrees = 50", + " Minutes = int((50.755140 - 50) × 60) = 45", + " Seconds = ((50.755140 - 50) × 60 - 45) × 60 = 18.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 16", + " Minutes = 12", + " Seconds = 17.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 50°45'18.5\"N, 16°12'17.8\"E", + "FINAL ANSWER: 50°45'18.5\"N, 16°12'17.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Abano Terme", + "source_format": "DMS", + "source_string": "45°21'27.1\"N, 11°47'14.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "45.357530, 11.787250", + "latitude": 45.35753, + "longitude": 11.78725 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 45°21'27.1\"N, 11°47'14.1\"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: 45.35753°", + "Step 4: Calculate longitude", + " Longitude: 11.78725°", + "FINAL ANSWER: 45.357530, 11.787250" + ] + }, + { + "task": "format_conversion", + "location_name": "Kilifi", + "source_format": "decimal_degrees", + "source_string": "-3.630450, 39.849920", + "target_format": "DMS", + "ground_truth": { + "target_string": "3°37'49.6\"S, 39°50'59.7\"E", + "latitude": -3.63045, + "longitude": 39.84992 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -3.630450, 39.849920", + " Latitude: -3.63045°", + " Longitude: 39.84992°", + "Step 2: Convert latitude to DMS", + " Degrees = 3", + " Minutes = int((3.630450 - 3) × 60) = 37", + " Seconds = ((3.630450 - 3) × 60 - 37) × 60 = 49.6", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 39", + " Minutes = 50", + " Seconds = 59.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 3°37'49.6\"S, 39°50'59.7\"E", + "FINAL ANSWER: 3°37'49.6\"S, 39°50'59.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Ganzhou", + "source_format": "decimal_degrees", + "source_string": "25.846640, 114.932600", + "target_format": "DMS", + "ground_truth": { + "target_string": "25°50'47.9\"N, 114°55'57.4\"E", + "latitude": 25.84664, + "longitude": 114.9326 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 25.846640, 114.932600", + " Latitude: 25.84664°", + " Longitude: 114.9326°", + "Step 2: Convert latitude to DMS", + " Degrees = 25", + " Minutes = int((25.846640 - 25) × 60) = 50", + " Seconds = ((25.846640 - 25) × 60 - 50) × 60 = 47.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 114", + " Minutes = 55", + " Seconds = 57.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 25°50'47.9\"N, 114°55'57.4\"E", + "FINAL ANSWER: 25°50'47.9\"N, 114°55'57.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Campo Verde", + "source_format": "DMS", + "source_string": "20°25'0.0\"S, 54°4'0.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-20.416670, -54.066670", + "latitude": -20.41667, + "longitude": -54.06667 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 20°25'0.0\"S, 54°4'0.0\"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: -20.41667°", + "Step 4: Calculate longitude", + " Longitude: -54.06667°", + "FINAL ANSWER: -20.416670, -54.066670" + ] + }, + { + "task": "format_conversion", + "location_name": "Nowa Sól", + "source_format": "decimal_degrees", + "source_string": "51.803330, 15.717020", + "target_format": "DMS", + "ground_truth": { + "target_string": "51°48'12.0\"N, 15°43'1.3\"E", + "latitude": 51.80333, + "longitude": 15.71702 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 51.803330, 15.717020", + " Latitude: 51.80333°", + " Longitude: 15.71702°", + "Step 2: Convert latitude to DMS", + " Degrees = 51", + " Minutes = int((51.803330 - 51) × 60) = 48", + " Seconds = ((51.803330 - 51) × 60 - 48) × 60 = 12.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 15", + " Minutes = 43", + " Seconds = 1.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 51°48'12.0\"N, 15°43'1.3\"E", + "FINAL ANSWER: 51°48'12.0\"N, 15°43'1.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Gonubie", + "source_format": "DMS", + "source_string": "32°56'39.6\"S, 28°0'53.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-32.944330, 28.014960", + "latitude": -32.94433, + "longitude": 28.01496 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 32°56'39.6\"S, 28°0'53.9\"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: -32.94433°", + "Step 4: Calculate longitude", + " Longitude: 28.01496°", + "FINAL ANSWER: -32.944330, 28.014960" + ] + }, + { + "task": "format_conversion", + "location_name": "Shivpur Charcha", + "source_format": "DMS", + "source_string": "23°19'44.0\"N, 82°31'41.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "23.328880, 82.528090", + "latitude": 23.32888, + "longitude": 82.52809 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 23°19'44.0\"N, 82°31'41.1\"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: 23.32888°", + "Step 4: Calculate longitude", + " Longitude: 82.52809°", + "FINAL ANSWER: 23.328880, 82.528090" + ] + }, + { + "task": "format_conversion", + "location_name": "Winthrop", + "source_format": "decimal_degrees", + "source_string": "42.375100, -70.982830", + "target_format": "DMS", + "ground_truth": { + "target_string": "42°22'30.4\"N, 70°58'58.2\"W", + "latitude": 42.3751, + "longitude": -70.98283 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 42.375100, -70.982830", + " Latitude: 42.3751°", + " Longitude: -70.98283°", + "Step 2: Convert latitude to DMS", + " Degrees = 42", + " Minutes = int((42.375100 - 42) × 60) = 22", + " Seconds = ((42.375100 - 42) × 60 - 22) × 60 = 30.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 70", + " Minutes = 58", + " Seconds = 58.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 42°22'30.4\"N, 70°58'58.2\"W", + "FINAL ANSWER: 42°22'30.4\"N, 70°58'58.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Nimach", + "source_format": "decimal_degrees", + "source_string": "24.459490, 74.866250", + "target_format": "DMS", + "ground_truth": { + "target_string": "24°27'34.2\"N, 74°51'58.5\"E", + "latitude": 24.45949, + "longitude": 74.86625 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 24.459490, 74.866250", + " Latitude: 24.45949°", + " Longitude: 74.86625°", + "Step 2: Convert latitude to DMS", + " Degrees = 24", + " Minutes = int((24.459490 - 24) × 60) = 27", + " Seconds = ((24.459490 - 24) × 60 - 27) × 60 = 34.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 74", + " Minutes = 51", + " Seconds = 58.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 24°27'34.2\"N, 74°51'58.5\"E", + "FINAL ANSWER: 24°27'34.2\"N, 74°51'58.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "South Kingstown", + "source_format": "decimal_degrees", + "source_string": "41.447180, -71.524940", + "target_format": "DMS", + "ground_truth": { + "target_string": "41°26'49.8\"N, 71°31'29.8\"W", + "latitude": 41.44718, + "longitude": -71.52494 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 41.447180, -71.524940", + " Latitude: 41.44718°", + " Longitude: -71.52494°", + "Step 2: Convert latitude to DMS", + " Degrees = 41", + " Minutes = int((41.447180 - 41) × 60) = 26", + " Seconds = ((41.447180 - 41) × 60 - 26) × 60 = 49.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 71", + " Minutes = 31", + " Seconds = 29.8", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 41°26'49.8\"N, 71°31'29.8\"W", + "FINAL ANSWER: 41°26'49.8\"N, 71°31'29.8\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Newton", + "source_format": "decimal_degrees", + "source_string": "49.133330, -122.850000", + "target_format": "DMS", + "ground_truth": { + "target_string": "49°7'60.0\"N, 122°50'60.0\"W", + "latitude": 49.13333, + "longitude": -122.85 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 49.133330, -122.850000", + " Latitude: 49.13333°", + " Longitude: -122.85°", + "Step 2: Convert latitude to DMS", + " Degrees = 49", + " Minutes = int((49.133330 - 49) × 60) = 7", + " Seconds = ((49.133330 - 49) × 60 - 7) × 60 = 60.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 122", + " Minutes = 50", + " Seconds = 60.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 49°7'60.0\"N, 122°50'60.0\"W", + "FINAL ANSWER: 49°7'60.0\"N, 122°50'60.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Náchod", + "source_format": "decimal_degrees", + "source_string": "50.416700, 16.162890", + "target_format": "DMS", + "ground_truth": { + "target_string": "50°25'0.1\"N, 16°9'46.4\"E", + "latitude": 50.4167, + "longitude": 16.16289 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 50.416700, 16.162890", + " Latitude: 50.4167°", + " Longitude: 16.16289°", + "Step 2: Convert latitude to DMS", + " Degrees = 50", + " Minutes = int((50.416700 - 50) × 60) = 25", + " Seconds = ((50.416700 - 50) × 60 - 25) × 60 = 0.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 16", + " Minutes = 9", + " Seconds = 46.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 50°25'0.1\"N, 16°9'46.4\"E", + "FINAL ANSWER: 50°25'0.1\"N, 16°9'46.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Mūndka", + "source_format": "decimal_degrees", + "source_string": "28.680120, 77.029750", + "target_format": "DMS", + "ground_truth": { + "target_string": "28°40'48.4\"N, 77°1'47.1\"E", + "latitude": 28.68012, + "longitude": 77.02975 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 28.680120, 77.029750", + " Latitude: 28.68012°", + " Longitude: 77.02975°", + "Step 2: Convert latitude to DMS", + " Degrees = 28", + " Minutes = int((28.680120 - 28) × 60) = 40", + " Seconds = ((28.680120 - 28) × 60 - 40) × 60 = 48.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 77", + " Minutes = 1", + " Seconds = 47.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 28°40'48.4\"N, 77°1'47.1\"E", + "FINAL ANSWER: 28°40'48.4\"N, 77°1'47.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Sigli", + "source_format": "decimal_degrees", + "source_string": "5.384800, 95.960900", + "target_format": "DMS", + "ground_truth": { + "target_string": "5°23'5.3\"N, 95°57'39.2\"E", + "latitude": 5.3848, + "longitude": 95.9609 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 5.384800, 95.960900", + " Latitude: 5.3848°", + " Longitude: 95.9609°", + "Step 2: Convert latitude to DMS", + " Degrees = 5", + " Minutes = int((5.384800 - 5) × 60) = 23", + " Seconds = ((5.384800 - 5) × 60 - 23) × 60 = 5.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 95", + " Minutes = 57", + " Seconds = 39.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 5°23'5.3\"N, 95°57'39.2\"E", + "FINAL ANSWER: 5°23'5.3\"N, 95°57'39.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Aravaca", + "source_format": "decimal_degrees", + "source_string": "40.457720, -3.782820", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°27'27.8\"N, 3°46'58.2\"W", + "latitude": 40.45772, + "longitude": -3.78282 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.457720, -3.782820", + " Latitude: 40.45772°", + " Longitude: -3.78282°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.457720 - 40) × 60) = 27", + " Seconds = ((40.457720 - 40) × 60 - 27) × 60 = 27.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 3", + " Minutes = 46", + " Seconds = 58.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 40°27'27.8\"N, 3°46'58.2\"W", + "FINAL ANSWER: 40°27'27.8\"N, 3°46'58.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Ala-Buka", + "source_format": "decimal_degrees", + "source_string": "41.410500, 71.486280", + "target_format": "DMS", + "ground_truth": { + "target_string": "41°24'37.8\"N, 71°29'10.6\"E", + "latitude": 41.4105, + "longitude": 71.48628 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 41.410500, 71.486280", + " Latitude: 41.4105°", + " Longitude: 71.48628°", + "Step 2: Convert latitude to DMS", + " Degrees = 41", + " Minutes = int((41.410500 - 41) × 60) = 24", + " Seconds = ((41.410500 - 41) × 60 - 24) × 60 = 37.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 71", + " Minutes = 29", + " Seconds = 10.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 41°24'37.8\"N, 71°29'10.6\"E", + "FINAL ANSWER: 41°24'37.8\"N, 71°29'10.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Ouled Moussa", + "source_format": "DMS", + "source_string": "36°41'2.2\"N, 3°21'59.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "36.683940, 3.366610", + "latitude": 36.68394, + "longitude": 3.36661 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 36°41'2.2\"N, 3°21'59.8\"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: 36.68394°", + "Step 4: Calculate longitude", + " Longitude: 3.36661°", + "FINAL ANSWER: 36.683940, 3.366610" + ] + }, + { + "task": "format_conversion", + "location_name": "Dubai Investments Park", + "source_format": "DMS", + "source_string": "25°0'29.8\"N, 55°9'24.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "25.008270, 55.156820", + "latitude": 25.00827, + "longitude": 55.15682 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 25°0'29.8\"N, 55°9'24.6\"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: 25.00827°", + "Step 4: Calculate longitude", + " Longitude: 55.15682°", + "FINAL ANSWER: 25.008270, 55.156820" + ] + }, + { + "task": "format_conversion", + "location_name": "Ho Chi Minh City", + "source_format": "DMS", + "source_string": "10°49'22.9\"N, 106°37'46.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "10.823020, 106.629650", + "latitude": 10.82302, + "longitude": 106.62965 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 10°49'22.9\"N, 106°37'46.7\"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: 10.82302°", + "Step 4: Calculate longitude", + " Longitude: 106.62965°", + "FINAL ANSWER: 10.823020, 106.629650" + ] + }, + { + "task": "format_conversion", + "location_name": "Wudong", + "source_format": "decimal_degrees", + "source_string": "30.209900, 107.341270", + "target_format": "DMS", + "ground_truth": { + "target_string": "30°12'35.6\"N, 107°20'28.6\"E", + "latitude": 30.2099, + "longitude": 107.34127 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 30.209900, 107.341270", + " Latitude: 30.2099°", + " Longitude: 107.34127°", + "Step 2: Convert latitude to DMS", + " Degrees = 30", + " Minutes = int((30.209900 - 30) × 60) = 12", + " Seconds = ((30.209900 - 30) × 60 - 12) × 60 = 35.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 107", + " Minutes = 20", + " Seconds = 28.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 30°12'35.6\"N, 107°20'28.6\"E", + "FINAL ANSWER: 30°12'35.6\"N, 107°20'28.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Rijokri", + "source_format": "DMS", + "source_string": "28°30'49.9\"N, 77°6'54.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "28.513870, 77.115100", + "latitude": 28.51387, + "longitude": 77.1151 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 28°30'49.9\"N, 77°6'54.4\"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: 28.51387°", + "Step 4: Calculate longitude", + " Longitude: 77.1151°", + "FINAL ANSWER: 28.513870, 77.115100" + ] + }, + { + "task": "format_conversion", + "location_name": "Aswān", + "source_format": "DMS", + "source_string": "24°5'27.0\"N, 32°53'57.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "24.090820, 32.899420", + "latitude": 24.09082, + "longitude": 32.89942 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 24°5'27.0\"N, 32°53'57.9\"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: 24.09082°", + "Step 4: Calculate longitude", + " Longitude: 32.89942°", + "FINAL ANSWER: 24.090820, 32.899420" + ] + }, + { + "task": "format_conversion", + "location_name": "Vişeu de Sus", + "source_format": "decimal_degrees", + "source_string": "47.707900, 24.429530", + "target_format": "DMS", + "ground_truth": { + "target_string": "47°42'28.4\"N, 24°25'46.3\"E", + "latitude": 47.7079, + "longitude": 24.42953 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 47.707900, 24.429530", + " Latitude: 47.7079°", + " Longitude: 24.42953°", + "Step 2: Convert latitude to DMS", + " Degrees = 47", + " Minutes = int((47.707900 - 47) × 60) = 42", + " Seconds = ((47.707900 - 47) × 60 - 42) × 60 = 28.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 24", + " Minutes = 25", + " Seconds = 46.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 47°42'28.4\"N, 24°25'46.3\"E", + "FINAL ANSWER: 47°42'28.4\"N, 24°25'46.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Los Rastrojos", + "source_format": "decimal_degrees", + "source_string": "10.025880, -69.241660", + "target_format": "DMS", + "ground_truth": { + "target_string": "10°1'33.2\"N, 69°14'30.0\"W", + "latitude": 10.02588, + "longitude": -69.24166 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 10.025880, -69.241660", + " Latitude: 10.02588°", + " Longitude: -69.24166°", + "Step 2: Convert latitude to DMS", + " Degrees = 10", + " Minutes = int((10.025880 - 10) × 60) = 1", + " Seconds = ((10.025880 - 10) × 60 - 1) × 60 = 33.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 69", + " Minutes = 14", + " Seconds = 30.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 10°1'33.2\"N, 69°14'30.0\"W", + "FINAL ANSWER: 10°1'33.2\"N, 69°14'30.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Gotse Delchev", + "source_format": "DMS", + "source_string": "41°34'0.0\"N, 23°43'60.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "41.566670, 23.733330", + "latitude": 41.56667, + "longitude": 23.73333 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 41°34'0.0\"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: 41.56667°", + "Step 4: Calculate longitude", + " Longitude: 23.73333°", + "FINAL ANSWER: 41.566670, 23.733330" + ] + }, + { + "task": "format_conversion", + "location_name": "Wangkui", + "source_format": "DMS", + "source_string": "46°49'55.7\"N, 126°28'35.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "46.832140, 126.476570", + "latitude": 46.83214, + "longitude": 126.47657 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 46°49'55.7\"N, 126°28'35.7\"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: 46.83214°", + "Step 4: Calculate longitude", + " Longitude: 126.47657°", + "FINAL ANSWER: 46.832140, 126.476570" + ] + }, + { + "task": "format_conversion", + "location_name": "Moss", + "source_format": "DMS", + "source_string": "59°26'2.5\"N, 10°39'27.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "59.434030, 10.657710", + "latitude": 59.43403, + "longitude": 10.65771 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 59°26'2.5\"N, 10°39'27.8\"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: 59.43403°", + "Step 4: Calculate longitude", + " Longitude: 10.65771°", + "FINAL ANSWER: 59.434030, 10.657710" + ] + }, + { + "task": "format_conversion", + "location_name": "McLean", + "source_format": "DMS", + "source_string": "38°56'3.4\"N, 77°10'38.9\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "38.934280, -77.177480", + "latitude": 38.93428, + "longitude": -77.17748 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 38°56'3.4\"N, 77°10'38.9\"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: 38.93428°", + "Step 4: Calculate longitude", + " Longitude: -77.17748°", + "FINAL ANSWER: 38.934280, -77.177480" + ] + }, + { + "task": "format_conversion", + "location_name": "Anuppānadi", + "source_format": "decimal_degrees", + "source_string": "9.903960, 78.143260", + "target_format": "DMS", + "ground_truth": { + "target_string": "9°54'14.3\"N, 78°8'35.7\"E", + "latitude": 9.90396, + "longitude": 78.14326 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 9.903960, 78.143260", + " Latitude: 9.90396°", + " Longitude: 78.14326°", + "Step 2: Convert latitude to DMS", + " Degrees = 9", + " Minutes = int((9.903960 - 9) × 60) = 54", + " Seconds = ((9.903960 - 9) × 60 - 54) × 60 = 14.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 78", + " Minutes = 8", + " Seconds = 35.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 9°54'14.3\"N, 78°8'35.7\"E", + "FINAL ANSWER: 9°54'14.3\"N, 78°8'35.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Pianura", + "source_format": "DMS", + "source_string": "40°51'32.7\"N, 14°10'23.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.859070, 14.173140", + "latitude": 40.85907, + "longitude": 14.17314 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°51'32.7\"N, 14°10'23.3\"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: 40.85907°", + "Step 4: Calculate longitude", + " Longitude: 14.17314°", + "FINAL ANSWER: 40.859070, 14.173140" + ] + }, + { + "task": "format_conversion", + "location_name": "Novoaleksandrovsk", + "source_format": "decimal_degrees", + "source_string": "45.497450, 41.225300", + "target_format": "DMS", + "ground_truth": { + "target_string": "45°29'50.8\"N, 41°13'31.1\"E", + "latitude": 45.49745, + "longitude": 41.2253 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 45.497450, 41.225300", + " Latitude: 45.49745°", + " Longitude: 41.2253°", + "Step 2: Convert latitude to DMS", + " Degrees = 45", + " Minutes = int((45.497450 - 45) × 60) = 29", + " Seconds = ((45.497450 - 45) × 60 - 29) × 60 = 50.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 41", + " Minutes = 13", + " Seconds = 31.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 45°29'50.8\"N, 41°13'31.1\"E", + "FINAL ANSWER: 45°29'50.8\"N, 41°13'31.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Saint-Joseph", + "source_format": "DMS", + "source_string": "14°40'15.6\"N, 61°2'20.6\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "14.670990, -61.039050", + "latitude": 14.67099, + "longitude": -61.03905 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 14°40'15.6\"N, 61°2'20.6\"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: 14.67099°", + "Step 4: Calculate longitude", + " Longitude: -61.03905°", + "FINAL ANSWER: 14.670990, -61.039050" + ] + }, + { + "task": "format_conversion", + "location_name": "Akim Oda", + "source_format": "decimal_degrees", + "source_string": "5.926650, -0.985770", + "target_format": "DMS", + "ground_truth": { + "target_string": "5°55'35.9\"N, 0°59'8.8\"W", + "latitude": 5.92665, + "longitude": -0.98577 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 5.926650, -0.985770", + " Latitude: 5.92665°", + " Longitude: -0.98577°", + "Step 2: Convert latitude to DMS", + " Degrees = 5", + " Minutes = int((5.926650 - 5) × 60) = 55", + " Seconds = ((5.926650 - 5) × 60 - 55) × 60 = 35.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 0", + " Minutes = 59", + " Seconds = 8.8", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 5°55'35.9\"N, 0°59'8.8\"W", + "FINAL ANSWER: 5°55'35.9\"N, 0°59'8.8\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Chiari", + "source_format": "decimal_degrees", + "source_string": "45.537630, 9.926990", + "target_format": "DMS", + "ground_truth": { + "target_string": "45°32'15.5\"N, 9°55'37.2\"E", + "latitude": 45.53763, + "longitude": 9.92699 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 45.537630, 9.926990", + " Latitude: 45.53763°", + " Longitude: 9.92699°", + "Step 2: Convert latitude to DMS", + " Degrees = 45", + " Minutes = int((45.537630 - 45) × 60) = 32", + " Seconds = ((45.537630 - 45) × 60 - 32) × 60 = 15.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 9", + " Minutes = 55", + " Seconds = 37.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 45°32'15.5\"N, 9°55'37.2\"E", + "FINAL ANSWER: 45°32'15.5\"N, 9°55'37.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Santa Cruz", + "source_format": "DMS", + "source_string": "36°58'26.8\"N, 122°1'50.9\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "36.974120, -122.030800", + "latitude": 36.97412, + "longitude": -122.0308 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 36°58'26.8\"N, 122°1'50.9\"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: 36.97412°", + "Step 4: Calculate longitude", + " Longitude: -122.0308°", + "FINAL ANSWER: 36.974120, -122.030800" + ] + }, + { + "task": "format_conversion", + "location_name": "Hezuo", + "source_format": "decimal_degrees", + "source_string": "34.985560, 102.909440", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°59'8.0\"N, 102°54'34.0\"E", + "latitude": 34.98556, + "longitude": 102.90944 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 34.985560, 102.909440", + " Latitude: 34.98556°", + " Longitude: 102.90944°", + "Step 2: Convert latitude to DMS", + " Degrees = 34", + " Minutes = int((34.985560 - 34) × 60) = 59", + " Seconds = ((34.985560 - 34) × 60 - 59) × 60 = 8.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 102", + " Minutes = 54", + " Seconds = 34.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 34°59'8.0\"N, 102°54'34.0\"E", + "FINAL ANSWER: 34°59'8.0\"N, 102°54'34.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Ol Kalou", + "source_format": "DMS", + "source_string": "0°16'15.2\"S, 36°22'45.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-0.270880, 36.379170", + "latitude": -0.27088, + "longitude": 36.37917 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 0°16'15.2\"S, 36°22'45.0\"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: -0.27088°", + "Step 4: Calculate longitude", + " Longitude: 36.37917°", + "FINAL ANSWER: -0.270880, 36.379170" + ] + }, + { + "task": "format_conversion", + "location_name": "Cimahi", + "source_format": "decimal_degrees", + "source_string": "-6.872220, 107.542500", + "target_format": "DMS", + "ground_truth": { + "target_string": "6°52'20.0\"S, 107°32'33.0\"E", + "latitude": -6.87222, + "longitude": 107.5425 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -6.872220, 107.542500", + " Latitude: -6.87222°", + " Longitude: 107.5425°", + "Step 2: Convert latitude to DMS", + " Degrees = 6", + " Minutes = int((6.872220 - 6) × 60) = 52", + " Seconds = ((6.872220 - 6) × 60 - 52) × 60 = 20.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 107", + " Minutes = 32", + " Seconds = 33.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 6°52'20.0\"S, 107°32'33.0\"E", + "FINAL ANSWER: 6°52'20.0\"S, 107°32'33.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Eight Mile Plains", + "source_format": "DMS", + "source_string": "27°34'60.0\"S, 153°5'60.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-27.583330, 153.100000", + "latitude": -27.58333, + "longitude": 153.1 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 27°34'60.0\"S, 153°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: -27.58333°", + "Step 4: Calculate longitude", + " Longitude: 153.1°", + "FINAL ANSWER: -27.583330, 153.100000" + ] + }, + { + "task": "format_conversion", + "location_name": "Stanton", + "source_format": "decimal_degrees", + "source_string": "33.802520, -117.993120", + "target_format": "DMS", + "ground_truth": { + "target_string": "33°48'9.1\"N, 117°59'35.2\"W", + "latitude": 33.80252, + "longitude": -117.99312 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 33.802520, -117.993120", + " Latitude: 33.80252°", + " Longitude: -117.99312°", + "Step 2: Convert latitude to DMS", + " Degrees = 33", + " Minutes = int((33.802520 - 33) × 60) = 48", + " Seconds = ((33.802520 - 33) × 60 - 48) × 60 = 9.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 117", + " Minutes = 59", + " Seconds = 35.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 33°48'9.1\"N, 117°59'35.2\"W", + "FINAL ANSWER: 33°48'9.1\"N, 117°59'35.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Zanjan", + "source_format": "DMS", + "source_string": "36°40'35.1\"N, 48°29'46.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "36.676420, 48.496280", + "latitude": 36.67642, + "longitude": 48.49628 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 36°40'35.1\"N, 48°29'46.6\"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: 36.67642°", + "Step 4: Calculate longitude", + " Longitude: 48.49628°", + "FINAL ANSWER: 36.676420, 48.496280" + ] + }, + { + "task": "format_conversion", + "location_name": "Chalchuapa", + "source_format": "decimal_degrees", + "source_string": "13.986670, -89.681110", + "target_format": "DMS", + "ground_truth": { + "target_string": "13°59'12.0\"N, 89°40'52.0\"W", + "latitude": 13.98667, + "longitude": -89.68111 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 13.986670, -89.681110", + " Latitude: 13.98667°", + " Longitude: -89.68111°", + "Step 2: Convert latitude to DMS", + " Degrees = 13", + " Minutes = int((13.986670 - 13) × 60) = 59", + " Seconds = ((13.986670 - 13) × 60 - 59) × 60 = 12.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 89", + " Minutes = 40", + " Seconds = 52.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 13°59'12.0\"N, 89°40'52.0\"W", + "FINAL ANSWER: 13°59'12.0\"N, 89°40'52.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Prince Edward", + "source_format": "decimal_degrees", + "source_string": "22.323600, 114.179380", + "target_format": "DMS", + "ground_truth": { + "target_string": "22°19'25.0\"N, 114°10'45.8\"E", + "latitude": 22.3236, + "longitude": 114.17938 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 22.323600, 114.179380", + " Latitude: 22.3236°", + " Longitude: 114.17938°", + "Step 2: Convert latitude to DMS", + " Degrees = 22", + " Minutes = int((22.323600 - 22) × 60) = 19", + " Seconds = ((22.323600 - 22) × 60 - 19) × 60 = 25.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 114", + " Minutes = 10", + " Seconds = 45.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 22°19'25.0\"N, 114°10'45.8\"E", + "FINAL ANSWER: 22°19'25.0\"N, 114°10'45.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kırıkhan", + "source_format": "DMS", + "source_string": "36°29'57.8\"N, 36°21'27.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "36.499390, 36.357550", + "latitude": 36.49939, + "longitude": 36.35755 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 36°29'57.8\"N, 36°21'27.2\"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: 36.49939°", + "Step 4: Calculate longitude", + " Longitude: 36.35755°", + "FINAL ANSWER: 36.499390, 36.357550" + ] + }, + { + "task": "format_conversion", + "location_name": "Hailar", + "source_format": "decimal_degrees", + "source_string": "49.200000, 119.700000", + "target_format": "DMS", + "ground_truth": { + "target_string": "49°12'0.0\"N, 119°42'0.0\"E", + "latitude": 49.2, + "longitude": 119.7 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 49.200000, 119.700000", + " Latitude: 49.2°", + " Longitude: 119.7°", + "Step 2: Convert latitude to DMS", + " Degrees = 49", + " Minutes = int((49.200000 - 49) × 60) = 12", + " Seconds = ((49.200000 - 49) × 60 - 12) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 119", + " Minutes = 42", + " Seconds = 0.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 49°12'0.0\"N, 119°42'0.0\"E", + "FINAL ANSWER: 49°12'0.0\"N, 119°42'0.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Desmarchais-Crawford", + "source_format": "decimal_degrees", + "source_string": "45.445540, -73.581630", + "target_format": "DMS", + "ground_truth": { + "target_string": "45°26'43.9\"N, 73°34'53.9\"W", + "latitude": 45.44554, + "longitude": -73.58163 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 45.445540, -73.581630", + " Latitude: 45.44554°", + " Longitude: -73.58163°", + "Step 2: Convert latitude to DMS", + " Degrees = 45", + " Minutes = int((45.445540 - 45) × 60) = 26", + " Seconds = ((45.445540 - 45) × 60 - 26) × 60 = 43.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 73", + " Minutes = 34", + " Seconds = 53.9", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 45°26'43.9\"N, 73°34'53.9\"W", + "FINAL ANSWER: 45°26'43.9\"N, 73°34'53.9\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Deoli", + "source_format": "decimal_degrees", + "source_string": "25.757280, 75.379910", + "target_format": "DMS", + "ground_truth": { + "target_string": "25°45'26.2\"N, 75°22'47.7\"E", + "latitude": 25.75728, + "longitude": 75.37991 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 25.757280, 75.379910", + " Latitude: 25.75728°", + " Longitude: 75.37991°", + "Step 2: Convert latitude to DMS", + " Degrees = 25", + " Minutes = int((25.757280 - 25) × 60) = 45", + " Seconds = ((25.757280 - 25) × 60 - 45) × 60 = 26.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 75", + " Minutes = 22", + " Seconds = 47.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 25°45'26.2\"N, 75°22'47.7\"E", + "FINAL ANSWER: 25°45'26.2\"N, 75°22'47.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Viewpark", + "source_format": "decimal_degrees", + "source_string": "55.827370, -4.057300", + "target_format": "DMS", + "ground_truth": { + "target_string": "55°49'38.5\"N, 4°3'26.3\"W", + "latitude": 55.82737, + "longitude": -4.0573 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 55.827370, -4.057300", + " Latitude: 55.82737°", + " Longitude: -4.0573°", + "Step 2: Convert latitude to DMS", + " Degrees = 55", + " Minutes = int((55.827370 - 55) × 60) = 49", + " Seconds = ((55.827370 - 55) × 60 - 49) × 60 = 38.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 4", + " Minutes = 3", + " Seconds = 26.3", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 55°49'38.5\"N, 4°3'26.3\"W", + "FINAL ANSWER: 55°49'38.5\"N, 4°3'26.3\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Polatlı", + "source_format": "DMS", + "source_string": "39°34'37.7\"N, 32°8'28.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "39.577150, 32.141320", + "latitude": 39.57715, + "longitude": 32.14132 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 39°34'37.7\"N, 32°8'28.8\"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: 39.57715°", + "Step 4: Calculate longitude", + " Longitude: 32.14132°", + "FINAL ANSWER: 39.577150, 32.141320" + ] + }, + { + "task": "format_conversion", + "location_name": "Soyapango", + "source_format": "DMS", + "source_string": "13°42'36.9\"N, 89°8'23.6\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "13.710240, -89.139890", + "latitude": 13.71024, + "longitude": -89.13989 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 13°42'36.9\"N, 89°8'23.6\"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: 13.71024°", + "Step 4: Calculate longitude", + " Longitude: -89.13989°", + "FINAL ANSWER: 13.710240, -89.139890" + ] + }, + { + "task": "format_conversion", + "location_name": "Kulasēkarapuram", + "source_format": "decimal_degrees", + "source_string": "9.091200, 76.530340", + "target_format": "DMS", + "ground_truth": { + "target_string": "9°5'28.3\"N, 76°31'49.2\"E", + "latitude": 9.0912, + "longitude": 76.53034 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 9.091200, 76.530340", + " Latitude: 9.0912°", + " Longitude: 76.53034°", + "Step 2: Convert latitude to DMS", + " Degrees = 9", + " Minutes = int((9.091200 - 9) × 60) = 5", + " Seconds = ((9.091200 - 9) × 60 - 5) × 60 = 28.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 76", + " Minutes = 31", + " Seconds = 49.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 9°5'28.3\"N, 76°31'49.2\"E", + "FINAL ANSWER: 9°5'28.3\"N, 76°31'49.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Peacehaven", + "source_format": "DMS", + "source_string": "50°47'33.7\"N, 0°0'23.5\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "50.792700, -0.006520", + "latitude": 50.7927, + "longitude": -0.00652 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 50°47'33.7\"N, 0°0'23.5\"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: 50.7927°", + "Step 4: Calculate longitude", + " Longitude: -0.00652°", + "FINAL ANSWER: 50.792700, -0.006520" + ] + }, + { + "task": "format_conversion", + "location_name": "Helsingør", + "source_format": "DMS", + "source_string": "56°2'9.8\"N, 12°36'49.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "56.036060, 12.613600", + "latitude": 56.03606, + "longitude": 12.6136 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 56°2'9.8\"N, 12°36'49.0\"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: 56.03606°", + "Step 4: Calculate longitude", + " Longitude: 12.6136°", + "FINAL ANSWER: 56.036060, 12.613600" + ] + }, + { + "task": "format_conversion", + "location_name": "Valley Stream", + "source_format": "decimal_degrees", + "source_string": "40.664270, -73.708460", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°39'51.4\"N, 73°42'30.5\"W", + "latitude": 40.66427, + "longitude": -73.70846 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.664270, -73.708460", + " Latitude: 40.66427°", + " Longitude: -73.70846°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.664270 - 40) × 60) = 39", + " Seconds = ((40.664270 - 40) × 60 - 39) × 60 = 51.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 73", + " Minutes = 42", + " Seconds = 30.5", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 40°39'51.4\"N, 73°42'30.5\"W", + "FINAL ANSWER: 40°39'51.4\"N, 73°42'30.5\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Alice", + "source_format": "DMS", + "source_string": "32°47'15.0\"S, 26°50'3.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-32.787490, 26.834400", + "latitude": -32.78749, + "longitude": 26.8344 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 32°47'15.0\"S, 26°50'3.8\"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: -32.78749°", + "Step 4: Calculate longitude", + " Longitude: 26.8344°", + "FINAL ANSWER: -32.787490, 26.834400" + ] + }, + { + "task": "format_conversion", + "location_name": "Macheng", + "source_format": "DMS", + "source_string": "31°10'48.5\"N, 115°1'19.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "31.180130, 115.022130", + "latitude": 31.18013, + "longitude": 115.02213 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 31°10'48.5\"N, 115°1'19.7\"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: 31.18013°", + "Step 4: Calculate longitude", + " Longitude: 115.02213°", + "FINAL ANSWER: 31.180130, 115.022130" + ] + }, + { + "task": "format_conversion", + "location_name": "Charef", + "source_format": "decimal_degrees", + "source_string": "34.620980, 2.795030", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°37'15.5\"N, 2°47'42.1\"E", + "latitude": 34.62098, + "longitude": 2.79503 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 34.620980, 2.795030", + " Latitude: 34.62098°", + " Longitude: 2.79503°", + "Step 2: Convert latitude to DMS", + " Degrees = 34", + " Minutes = int((34.620980 - 34) × 60) = 37", + " Seconds = ((34.620980 - 34) × 60 - 37) × 60 = 15.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 2", + " Minutes = 47", + " Seconds = 42.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 34°37'15.5\"N, 2°47'42.1\"E", + "FINAL ANSWER: 34°37'15.5\"N, 2°47'42.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Vadavalli", + "source_format": "DMS", + "source_string": "11°1'29.0\"N, 76°53'50.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "11.024720, 76.897300", + "latitude": 11.02472, + "longitude": 76.8973 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 11°1'29.0\"N, 76°53'50.3\"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: 11.02472°", + "Step 4: Calculate longitude", + " Longitude: 76.8973°", + "FINAL ANSWER: 11.024720, 76.897300" + ] + }, + { + "task": "format_conversion", + "location_name": "Phúc Yên", + "source_format": "decimal_degrees", + "source_string": "21.236950, 105.704830", + "target_format": "DMS", + "ground_truth": { + "target_string": "21°14'13.0\"N, 105°42'17.4\"E", + "latitude": 21.23695, + "longitude": 105.70483 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 21.236950, 105.704830", + " Latitude: 21.23695°", + " Longitude: 105.70483°", + "Step 2: Convert latitude to DMS", + " Degrees = 21", + " Minutes = int((21.236950 - 21) × 60) = 14", + " Seconds = ((21.236950 - 21) × 60 - 14) × 60 = 13.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 105", + " Minutes = 42", + " Seconds = 17.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 21°14'13.0\"N, 105°42'17.4\"E", + "FINAL ANSWER: 21°14'13.0\"N, 105°42'17.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Middelburg", + "source_format": "DMS", + "source_string": "25°46'30.3\"S, 29°27'53.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-25.775070, 29.464820", + "latitude": -25.77507, + "longitude": 29.46482 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 25°46'30.3\"S, 29°27'53.4\"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: -25.77507°", + "Step 4: Calculate longitude", + " Longitude: 29.46482°", + "FINAL ANSWER: -25.775070, 29.464820" + ] + }, + { + "task": "format_conversion", + "location_name": "Gaur", + "source_format": "decimal_degrees", + "source_string": "26.764480, 85.278410", + "target_format": "DMS", + "ground_truth": { + "target_string": "26°45'52.1\"N, 85°16'42.3\"E", + "latitude": 26.76448, + "longitude": 85.27841 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 26.764480, 85.278410", + " Latitude: 26.76448°", + " Longitude: 85.27841°", + "Step 2: Convert latitude to DMS", + " Degrees = 26", + " Minutes = int((26.764480 - 26) × 60) = 45", + " Seconds = ((26.764480 - 26) × 60 - 45) × 60 = 52.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 85", + " Minutes = 16", + " Seconds = 42.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 26°45'52.1\"N, 85°16'42.3\"E", + "FINAL ANSWER: 26°45'52.1\"N, 85°16'42.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Utsunomiya", + "source_format": "decimal_degrees", + "source_string": "36.566670, 139.883330", + "target_format": "DMS", + "ground_truth": { + "target_string": "36°34'0.0\"N, 139°52'60.0\"E", + "latitude": 36.56667, + "longitude": 139.88333 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 36.566670, 139.883330", + " Latitude: 36.56667°", + " Longitude: 139.88333°", + "Step 2: Convert latitude to DMS", + " Degrees = 36", + " Minutes = int((36.566670 - 36) × 60) = 34", + " Seconds = ((36.566670 - 36) × 60 - 34) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 139", + " Minutes = 52", + " Seconds = 60.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 36°34'0.0\"N, 139°52'60.0\"E", + "FINAL ANSWER: 36°34'0.0\"N, 139°52'60.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Sakiet ed Daier", + "source_format": "decimal_degrees", + "source_string": "34.794350, 10.806170", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°47'39.7\"N, 10°48'22.2\"E", + "latitude": 34.79435, + "longitude": 10.80617 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 34.794350, 10.806170", + " Latitude: 34.79435°", + " Longitude: 10.80617°", + "Step 2: Convert latitude to DMS", + " Degrees = 34", + " Minutes = int((34.794350 - 34) × 60) = 47", + " Seconds = ((34.794350 - 34) × 60 - 47) × 60 = 39.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 10", + " Minutes = 48", + " Seconds = 22.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 34°47'39.7\"N, 10°48'22.2\"E", + "FINAL ANSWER: 34°47'39.7\"N, 10°48'22.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Rongo", + "source_format": "decimal_degrees", + "source_string": "-0.756750, 34.598330", + "target_format": "DMS", + "ground_truth": { + "target_string": "0°45'24.3\"S, 34°35'54.0\"E", + "latitude": -0.75675, + "longitude": 34.59833 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -0.756750, 34.598330", + " Latitude: -0.75675°", + " Longitude: 34.59833°", + "Step 2: Convert latitude to DMS", + " Degrees = 0", + " Minutes = int((0.756750 - 0) × 60) = 45", + " Seconds = ((0.756750 - 0) × 60 - 45) × 60 = 24.3", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 34", + " Minutes = 35", + " Seconds = 54.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 0°45'24.3\"S, 34°35'54.0\"E", + "FINAL ANSWER: 0°45'24.3\"S, 34°35'54.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Atlanta", + "source_format": "DMS", + "source_string": "33°44'56.4\"N, 84°23'16.7\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "33.749000, -84.387980", + "latitude": 33.749, + "longitude": -84.38798 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 33°44'56.4\"N, 84°23'16.7\"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: 33.749°", + "Step 4: Calculate longitude", + " Longitude: -84.38798°", + "FINAL ANSWER: 33.749000, -84.387980" + ] + }, + { + "task": "format_conversion", + "location_name": "Vynnyky", + "source_format": "DMS", + "source_string": "49°49'0.2\"N, 24°8'39.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "49.816720, 24.144170", + "latitude": 49.81672, + "longitude": 24.14417 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 49°49'0.2\"N, 24°8'39.0\"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: 49.81672°", + "Step 4: Calculate longitude", + " Longitude: 24.14417°", + "FINAL ANSWER: 49.816720, 24.144170" + ] + }, + { + "task": "format_conversion", + "location_name": "Ongallur-II", + "source_format": "DMS", + "source_string": "10°47'23.1\"N, 76°13'8.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "10.789740, 76.218980", + "latitude": 10.78974, + "longitude": 76.21898 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 10°47'23.1\"N, 76°13'8.3\"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: 10.78974°", + "Step 4: Calculate longitude", + " Longitude: 76.21898°", + "FINAL ANSWER: 10.789740, 76.218980" + ] + }, + { + "task": "format_conversion", + "location_name": "Haldwani", + "source_format": "decimal_degrees", + "source_string": "29.222540, 79.528600", + "target_format": "DMS", + "ground_truth": { + "target_string": "29°13'21.1\"N, 79°31'43.0\"E", + "latitude": 29.22254, + "longitude": 79.5286 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 29.222540, 79.528600", + " Latitude: 29.22254°", + " Longitude: 79.5286°", + "Step 2: Convert latitude to DMS", + " Degrees = 29", + " Minutes = int((29.222540 - 29) × 60) = 13", + " Seconds = ((29.222540 - 29) × 60 - 13) × 60 = 21.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 79", + " Minutes = 31", + " Seconds = 43.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 29°13'21.1\"N, 79°31'43.0\"E", + "FINAL ANSWER: 29°13'21.1\"N, 79°31'43.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kaimukī", + "source_format": "DMS", + "source_string": "21°16'44.9\"N, 157°48'4.9\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "21.279140, -157.801350", + "latitude": 21.27914, + "longitude": -157.80135 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 21°16'44.9\"N, 157°48'4.9\"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: 21.27914°", + "Step 4: Calculate longitude", + " Longitude: -157.80135°", + "FINAL ANSWER: 21.279140, -157.801350" + ] + }, + { + "task": "format_conversion", + "location_name": "Moothakunnam", + "source_format": "decimal_degrees", + "source_string": "10.189950, 76.200790", + "target_format": "DMS", + "ground_truth": { + "target_string": "10°11'23.8\"N, 76°12'2.8\"E", + "latitude": 10.18995, + "longitude": 76.20079 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 10.189950, 76.200790", + " Latitude: 10.18995°", + " Longitude: 76.20079°", + "Step 2: Convert latitude to DMS", + " Degrees = 10", + " Minutes = int((10.189950 - 10) × 60) = 11", + " Seconds = ((10.189950 - 10) × 60 - 11) × 60 = 23.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 76", + " Minutes = 12", + " Seconds = 2.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 10°11'23.8\"N, 76°12'2.8\"E", + "FINAL ANSWER: 10°11'23.8\"N, 76°12'2.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Dhahran", + "source_format": "DMS", + "source_string": "26°17'19.1\"N, 50°6'50.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "26.288640, 50.113960", + "latitude": 26.28864, + "longitude": 50.11396 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 26°17'19.1\"N, 50°6'50.3\"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: 26.28864°", + "Step 4: Calculate longitude", + " Longitude: 50.11396°", + "FINAL ANSWER: 26.288640, 50.113960" + ] + }, + { + "task": "format_conversion", + "location_name": "Allauch", + "source_format": "decimal_degrees", + "source_string": "43.335730, 5.482010", + "target_format": "DMS", + "ground_truth": { + "target_string": "43°20'8.6\"N, 5°28'55.2\"E", + "latitude": 43.33573, + "longitude": 5.48201 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 43.335730, 5.482010", + " Latitude: 43.33573°", + " Longitude: 5.48201°", + "Step 2: Convert latitude to DMS", + " Degrees = 43", + " Minutes = int((43.335730 - 43) × 60) = 20", + " Seconds = ((43.335730 - 43) × 60 - 20) × 60 = 8.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 5", + " Minutes = 28", + " Seconds = 55.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 43°20'8.6\"N, 5°28'55.2\"E", + "FINAL ANSWER: 43°20'8.6\"N, 5°28'55.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Piera", + "source_format": "DMS", + "source_string": "41°31'20.4\"N, 1°45'2.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "41.522320, 1.750760", + "latitude": 41.52232, + "longitude": 1.75076 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 41°31'20.4\"N, 1°45'2.7\"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: 41.52232°", + "Step 4: Calculate longitude", + " Longitude: 1.75076°", + "FINAL ANSWER: 41.522320, 1.750760" + ] + }, + { + "task": "format_conversion", + "location_name": "Cabra", + "source_format": "DMS", + "source_string": "37°28'21.0\"N, 4°26'31.4\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "37.472490, -4.442060", + "latitude": 37.47249, + "longitude": -4.44206 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 37°28'21.0\"N, 4°26'31.4\"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: 37.47249°", + "Step 4: Calculate longitude", + " Longitude: -4.44206°", + "FINAL ANSWER: 37.472490, -4.442060" + ] + }, + { + "task": "format_conversion", + "location_name": "Windsor", + "source_format": "DMS", + "source_string": "38°32'49.7\"N, 122°48'59.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "38.547130, -122.816380", + "latitude": 38.54713, + "longitude": -122.81638 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 38°32'49.7\"N, 122°48'59.0\"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: 38.54713°", + "Step 4: Calculate longitude", + " Longitude: -122.81638°", + "FINAL ANSWER: 38.547130, -122.816380" + ] + }, + { + "task": "format_conversion", + "location_name": "Raytown", + "source_format": "decimal_degrees", + "source_string": "39.008620, -94.463560", + "target_format": "DMS", + "ground_truth": { + "target_string": "39°0'31.0\"N, 94°27'48.8\"W", + "latitude": 39.00862, + "longitude": -94.46356 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 39.008620, -94.463560", + " Latitude: 39.00862°", + " Longitude: -94.46356°", + "Step 2: Convert latitude to DMS", + " Degrees = 39", + " Minutes = int((39.008620 - 39) × 60) = 0", + " Seconds = ((39.008620 - 39) × 60 - 0) × 60 = 31.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 94", + " Minutes = 27", + " Seconds = 48.8", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 39°0'31.0\"N, 94°27'48.8\"W", + "FINAL ANSWER: 39°0'31.0\"N, 94°27'48.8\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Carlos Chagas", + "source_format": "decimal_degrees", + "source_string": "-17.703060, -40.766390", + "target_format": "DMS", + "ground_truth": { + "target_string": "17°42'11.0\"S, 40°45'59.0\"W", + "latitude": -17.70306, + "longitude": -40.76639 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -17.703060, -40.766390", + " Latitude: -17.70306°", + " Longitude: -40.76639°", + "Step 2: Convert latitude to DMS", + " Degrees = 17", + " Minutes = int((17.703060 - 17) × 60) = 42", + " Seconds = ((17.703060 - 17) × 60 - 42) × 60 = 11.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 40", + " Minutes = 45", + " Seconds = 59.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 17°42'11.0\"S, 40°45'59.0\"W", + "FINAL ANSWER: 17°42'11.0\"S, 40°45'59.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Zossen", + "source_format": "DMS", + "source_string": "52°12'57.6\"N, 13°26'56.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "52.216000, 13.449090", + "latitude": 52.216, + "longitude": 13.44909 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 52°12'57.6\"N, 13°26'56.7\"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: 52.216°", + "Step 4: Calculate longitude", + " Longitude: 13.44909°", + "FINAL ANSWER: 52.216000, 13.449090" + ] + }, + { + "task": "format_conversion", + "location_name": "Jhang Sadr", + "source_format": "DMS", + "source_string": "31°16'11.3\"N, 72°19'0.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "31.269810, 72.316870", + "latitude": 31.26981, + "longitude": 72.31687 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 31°16'11.3\"N, 72°19'0.7\"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: 31.26981°", + "Step 4: Calculate longitude", + " Longitude: 72.31687°", + "FINAL ANSWER: 31.269810, 72.316870" + ] + }, + { + "task": "format_conversion", + "location_name": "Ouled Slama Fouaga", + "source_format": "DMS", + "source_string": "36°32'53.8\"N, 3°6'36.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "36.548280, 3.110060", + "latitude": 36.54828, + "longitude": 3.11006 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 36°32'53.8\"N, 3°6'36.2\"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: 36.54828°", + "Step 4: Calculate longitude", + " Longitude: 3.11006°", + "FINAL ANSWER: 36.548280, 3.110060" + ] + }, + { + "task": "format_conversion", + "location_name": "Vatra Dornei", + "source_format": "decimal_degrees", + "source_string": "47.350000, 25.366670", + "target_format": "DMS", + "ground_truth": { + "target_string": "47°21'0.0\"N, 25°22'0.0\"E", + "latitude": 47.35, + "longitude": 25.36667 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 47.350000, 25.366670", + " Latitude: 47.35°", + " Longitude: 25.36667°", + "Step 2: Convert latitude to DMS", + " Degrees = 47", + " Minutes = int((47.350000 - 47) × 60) = 21", + " Seconds = ((47.350000 - 47) × 60 - 21) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 25", + " Minutes = 22", + " Seconds = 0.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 47°21'0.0\"N, 25°22'0.0\"E", + "FINAL ANSWER: 47°21'0.0\"N, 25°22'0.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Greensborough", + "source_format": "DMS", + "source_string": "37°42'16.6\"S, 145°6'10.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-37.704620, 145.103020", + "latitude": -37.70462, + "longitude": 145.10302 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 37°42'16.6\"S, 145°6'10.9\"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: -37.70462°", + "Step 4: Calculate longitude", + " Longitude: 145.10302°", + "FINAL ANSWER: -37.704620, 145.103020" + ] + }, + { + "task": "format_conversion", + "location_name": "Tepotzotlán", + "source_format": "decimal_degrees", + "source_string": "19.721160, -99.223910", + "target_format": "DMS", + "ground_truth": { + "target_string": "19°43'16.2\"N, 99°13'26.1\"W", + "latitude": 19.72116, + "longitude": -99.22391 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 19.721160, -99.223910", + " Latitude: 19.72116°", + " Longitude: -99.22391°", + "Step 2: Convert latitude to DMS", + " Degrees = 19", + " Minutes = int((19.721160 - 19) × 60) = 43", + " Seconds = ((19.721160 - 19) × 60 - 43) × 60 = 16.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 99", + " Minutes = 13", + " Seconds = 26.1", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 19°43'16.2\"N, 99°13'26.1\"W", + "FINAL ANSWER: 19°43'16.2\"N, 99°13'26.1\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Wallington", + "source_format": "DMS", + "source_string": "51°21'50.5\"N, 0°9'13.2\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "51.364040, -0.153680", + "latitude": 51.36404, + "longitude": -0.15368 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 51°21'50.5\"N, 0°9'13.2\"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: 51.36404°", + "Step 4: Calculate longitude", + " Longitude: -0.15368°", + "FINAL ANSWER: 51.364040, -0.153680" + ] + }, + { + "task": "format_conversion", + "location_name": "Baarn", + "source_format": "decimal_degrees", + "source_string": "52.211670, 5.287500", + "target_format": "DMS", + "ground_truth": { + "target_string": "52°12'42.0\"N, 5°17'15.0\"E", + "latitude": 52.21167, + "longitude": 5.2875 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 52.211670, 5.287500", + " Latitude: 52.21167°", + " Longitude: 5.2875°", + "Step 2: Convert latitude to DMS", + " Degrees = 52", + " Minutes = int((52.211670 - 52) × 60) = 12", + " Seconds = ((52.211670 - 52) × 60 - 12) × 60 = 42.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 5", + " Minutes = 17", + " Seconds = 15.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 52°12'42.0\"N, 5°17'15.0\"E", + "FINAL ANSWER: 52°12'42.0\"N, 5°17'15.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Willetton", + "source_format": "DMS", + "source_string": "32°3'9.0\"S, 115°53'16.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-32.052510, 115.887820", + "latitude": -32.05251, + "longitude": 115.88782 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 32°3'9.0\"S, 115°53'16.2\"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: -32.05251°", + "Step 4: Calculate longitude", + " Longitude: 115.88782°", + "FINAL ANSWER: -32.052510, 115.887820" + ] + }, + { + "task": "format_conversion", + "location_name": "Kopāganj", + "source_format": "DMS", + "source_string": "26°1'9.2\"N, 83°33'58.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "26.019230, 83.566300", + "latitude": 26.01923, + "longitude": 83.5663 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 26°1'9.2\"N, 83°33'58.7\"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: 26.01923°", + "Step 4: Calculate longitude", + " Longitude: 83.5663°", + "FINAL ANSWER: 26.019230, 83.566300" + ] + }, + { + "task": "format_conversion", + "location_name": "Turbaco", + "source_format": "DMS", + "source_string": "10°19'46.0\"N, 75°24'40.9\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "10.329440, -75.411370", + "latitude": 10.32944, + "longitude": -75.41137 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 10°19'46.0\"N, 75°24'40.9\"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: 10.32944°", + "Step 4: Calculate longitude", + " Longitude: -75.41137°", + "FINAL ANSWER: 10.329440, -75.411370" + ] + }, + { + "task": "format_conversion", + "location_name": "Vengola Kizhakkumbāgam", + "source_format": "DMS", + "source_string": "10°3'49.5\"N, 76°28'33.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "10.063740, 76.476060", + "latitude": 10.06374, + "longitude": 76.47606 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 10°3'49.5\"N, 76°28'33.8\"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: 10.06374°", + "Step 4: Calculate longitude", + " Longitude: 76.47606°", + "FINAL ANSWER: 10.063740, 76.476060" + ] + }, + { + "task": "format_conversion", + "location_name": "Puqiakeqi", + "source_format": "DMS", + "source_string": "37°19'2.6\"N, 79°42'19.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "37.317390, 79.705320", + "latitude": 37.31739, + "longitude": 79.70532 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 37°19'2.6\"N, 79°42'19.2\"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: 37.31739°", + "Step 4: Calculate longitude", + " Longitude: 79.70532°", + "FINAL ANSWER: 37.317390, 79.705320" + ] + }, + { + "task": "format_conversion", + "location_name": "Tunduru", + "source_format": "decimal_degrees", + "source_string": "-11.066670, 37.350000", + "target_format": "DMS", + "ground_truth": { + "target_string": "11°4'0.0\"S, 37°21'0.0\"E", + "latitude": -11.06667, + "longitude": 37.35 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -11.066670, 37.350000", + " Latitude: -11.06667°", + " Longitude: 37.35°", + "Step 2: Convert latitude to DMS", + " Degrees = 11", + " Minutes = int((11.066670 - 11) × 60) = 4", + " Seconds = ((11.066670 - 11) × 60 - 4) × 60 = 0.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 37", + " Minutes = 21", + " Seconds = 0.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 11°4'0.0\"S, 37°21'0.0\"E", + "FINAL ANSWER: 11°4'0.0\"S, 37°21'0.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Sambalpur", + "source_format": "DMS", + "source_string": "21°27'55.0\"N, 83°58'32.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "21.465270, 83.975730", + "latitude": 21.46527, + "longitude": 83.97573 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 21°27'55.0\"N, 83°58'32.6\"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: 21.46527°", + "Step 4: Calculate longitude", + " Longitude: 83.97573°", + "FINAL ANSWER: 21.465270, 83.975730" + ] + }, + { + "task": "format_conversion", + "location_name": "Manihāri", + "source_format": "DMS", + "source_string": "25°20'20.1\"N, 87°37'11.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "25.338910, 87.619980", + "latitude": 25.33891, + "longitude": 87.61998 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 25°20'20.1\"N, 87°37'11.9\"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: 25.33891°", + "Step 4: Calculate longitude", + " Longitude: 87.61998°", + "FINAL ANSWER: 25.338910, 87.619980" + ] + }, + { + "task": "format_conversion", + "location_name": "Schwetzingen", + "source_format": "decimal_degrees", + "source_string": "49.382170, 8.582300", + "target_format": "DMS", + "ground_truth": { + "target_string": "49°22'55.8\"N, 8°34'56.3\"E", + "latitude": 49.38217, + "longitude": 8.5823 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 49.382170, 8.582300", + " Latitude: 49.38217°", + " Longitude: 8.5823°", + "Step 2: Convert latitude to DMS", + " Degrees = 49", + " Minutes = int((49.382170 - 49) × 60) = 22", + " Seconds = ((49.382170 - 49) × 60 - 22) × 60 = 55.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 8", + " Minutes = 34", + " Seconds = 56.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 49°22'55.8\"N, 8°34'56.3\"E", + "FINAL ANSWER: 49°22'55.8\"N, 8°34'56.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Nagqu", + "source_format": "decimal_degrees", + "source_string": "31.476780, 92.057290", + "target_format": "DMS", + "ground_truth": { + "target_string": "31°28'36.4\"N, 92°3'26.2\"E", + "latitude": 31.47678, + "longitude": 92.05729 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 31.476780, 92.057290", + " Latitude: 31.47678°", + " Longitude: 92.05729°", + "Step 2: Convert latitude to DMS", + " Degrees = 31", + " Minutes = int((31.476780 - 31) × 60) = 28", + " Seconds = ((31.476780 - 31) × 60 - 28) × 60 = 36.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 92", + " Minutes = 3", + " Seconds = 26.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 31°28'36.4\"N, 92°3'26.2\"E", + "FINAL ANSWER: 31°28'36.4\"N, 92°3'26.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Maliu", + "source_format": "decimal_degrees", + "source_string": "31.434210, 108.244630", + "target_format": "DMS", + "ground_truth": { + "target_string": "31°26'3.2\"N, 108°14'40.7\"E", + "latitude": 31.43421, + "longitude": 108.24463 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 31.434210, 108.244630", + " Latitude: 31.43421°", + " Longitude: 108.24463°", + "Step 2: Convert latitude to DMS", + " Degrees = 31", + " Minutes = int((31.434210 - 31) × 60) = 26", + " Seconds = ((31.434210 - 31) × 60 - 26) × 60 = 3.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 108", + " Minutes = 14", + " Seconds = 40.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 31°26'3.2\"N, 108°14'40.7\"E", + "FINAL ANSWER: 31°26'3.2\"N, 108°14'40.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Buyende", + "source_format": "decimal_degrees", + "source_string": "1.151670, 33.155000", + "target_format": "DMS", + "ground_truth": { + "target_string": "1°9'6.0\"N, 33°9'18.0\"E", + "latitude": 1.15167, + "longitude": 33.155 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 1.151670, 33.155000", + " Latitude: 1.15167°", + " Longitude: 33.155°", + "Step 2: Convert latitude to DMS", + " Degrees = 1", + " Minutes = int((1.151670 - 1) × 60) = 9", + " Seconds = ((1.151670 - 1) × 60 - 9) × 60 = 6.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 33", + " Minutes = 9", + " Seconds = 18.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 1°9'6.0\"N, 33°9'18.0\"E", + "FINAL ANSWER: 1°9'6.0\"N, 33°9'18.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Bloemfontein", + "source_format": "decimal_degrees", + "source_string": "-29.121070, 26.214000", + "target_format": "DMS", + "ground_truth": { + "target_string": "29°7'15.9\"S, 26°12'50.4\"E", + "latitude": -29.12107, + "longitude": 26.214 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -29.121070, 26.214000", + " Latitude: -29.12107°", + " Longitude: 26.214°", + "Step 2: Convert latitude to DMS", + " Degrees = 29", + " Minutes = int((29.121070 - 29) × 60) = 7", + " Seconds = ((29.121070 - 29) × 60 - 7) × 60 = 15.9", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 26", + " Minutes = 12", + " Seconds = 50.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 29°7'15.9\"S, 26°12'50.4\"E", + "FINAL ANSWER: 29°7'15.9\"S, 26°12'50.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Franklin", + "source_format": "DMS", + "source_string": "42°5'0.3\"N, 71°23'48.2\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "42.083430, -71.396730", + "latitude": 42.08343, + "longitude": -71.39673 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 42°5'0.3\"N, 71°23'48.2\"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: 42.08343°", + "Step 4: Calculate longitude", + " Longitude: -71.39673°", + "FINAL ANSWER: 42.083430, -71.396730" + ] + }, + { + "task": "format_conversion", + "location_name": "Nikolayevsk-on-Amure", + "source_format": "DMS", + "source_string": "53°8'47.7\"N, 140°43'22.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "53.146570, 140.722870", + "latitude": 53.14657, + "longitude": 140.72287 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 53°8'47.7\"N, 140°43'22.3\"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: 53.14657°", + "Step 4: Calculate longitude", + " Longitude: 140.72287°", + "FINAL ANSWER: 53.146570, 140.722870" + ] + }, + { + "task": "format_conversion", + "location_name": "Borj Cedria", + "source_format": "decimal_degrees", + "source_string": "36.697050, 10.386540", + "target_format": "DMS", + "ground_truth": { + "target_string": "36°41'49.4\"N, 10°23'11.5\"E", + "latitude": 36.69705, + "longitude": 10.38654 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 36.697050, 10.386540", + " Latitude: 36.69705°", + " Longitude: 10.38654°", + "Step 2: Convert latitude to DMS", + " Degrees = 36", + " Minutes = int((36.697050 - 36) × 60) = 41", + " Seconds = ((36.697050 - 36) × 60 - 41) × 60 = 49.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 10", + " Minutes = 23", + " Seconds = 11.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 36°41'49.4\"N, 10°23'11.5\"E", + "FINAL ANSWER: 36°41'49.4\"N, 10°23'11.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Guédiawaye", + "source_format": "DMS", + "source_string": "14°46'28.1\"N, 17°24'7.6\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "14.774460, -17.402120", + "latitude": 14.77446, + "longitude": -17.40212 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 14°46'28.1\"N, 17°24'7.6\"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: 14.77446°", + "Step 4: Calculate longitude", + " Longitude: -17.40212°", + "FINAL ANSWER: 14.774460, -17.402120" + ] + }, + { + "task": "format_conversion", + "location_name": "El Ksiba", + "source_format": "DMS", + "source_string": "32°34'22.3\"N, 6°1'10.1\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "32.572860, -6.019470", + "latitude": 32.57286, + "longitude": -6.01947 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 32°34'22.3\"N, 6°1'10.1\"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: 32.57286°", + "Step 4: Calculate longitude", + " Longitude: -6.01947°", + "FINAL ANSWER: 32.572860, -6.019470" + ] + }, + { + "task": "format_conversion", + "location_name": "El Viejo", + "source_format": "DMS", + "source_string": "12°39'48.5\"N, 87°9'59.9\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "12.663480, -87.166630", + "latitude": 12.66348, + "longitude": -87.16663 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 12°39'48.5\"N, 87°9'59.9\"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: 12.66348°", + "Step 4: Calculate longitude", + " Longitude: -87.16663°", + "FINAL ANSWER: 12.663480, -87.166630" + ] + }, + { + "task": "format_conversion", + "location_name": "Trindade", + "source_format": "decimal_degrees", + "source_string": "-27.586120, -48.523350", + "target_format": "DMS", + "ground_truth": { + "target_string": "27°35'10.0\"S, 48°31'24.1\"W", + "latitude": -27.58612, + "longitude": -48.52335 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -27.586120, -48.523350", + " Latitude: -27.58612°", + " Longitude: -48.52335°", + "Step 2: Convert latitude to DMS", + " Degrees = 27", + " Minutes = int((27.586120 - 27) × 60) = 35", + " Seconds = ((27.586120 - 27) × 60 - 35) × 60 = 10.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 48", + " Minutes = 31", + " Seconds = 24.1", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 27°35'10.0\"S, 48°31'24.1\"W", + "FINAL ANSWER: 27°35'10.0\"S, 48°31'24.1\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Qingshanquan", + "source_format": "decimal_degrees", + "source_string": "34.416390, 117.363060", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°24'59.0\"N, 117°21'47.0\"E", + "latitude": 34.41639, + "longitude": 117.36306 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 34.416390, 117.363060", + " Latitude: 34.41639°", + " Longitude: 117.36306°", + "Step 2: Convert latitude to DMS", + " Degrees = 34", + " Minutes = int((34.416390 - 34) × 60) = 24", + " Seconds = ((34.416390 - 34) × 60 - 24) × 60 = 59.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 117", + " Minutes = 21", + " Seconds = 47.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 34°24'59.0\"N, 117°21'47.0\"E", + "FINAL ANSWER: 34°24'59.0\"N, 117°21'47.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Neijiang", + "source_format": "DMS", + "source_string": "29°35'0.7\"N, 105°3'43.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "29.583540, 105.062160", + "latitude": 29.58354, + "longitude": 105.06216 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 29°35'0.7\"N, 105°3'43.8\"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: 29.58354°", + "Step 4: Calculate longitude", + " Longitude: 105.06216°", + "FINAL ANSWER: 29.583540, 105.062160" + ] + }, + { + "task": "format_conversion", + "location_name": "Syktyvkar", + "source_format": "decimal_degrees", + "source_string": "61.663930, 50.816300", + "target_format": "DMS", + "ground_truth": { + "target_string": "61°39'50.1\"N, 50°48'58.7\"E", + "latitude": 61.66393, + "longitude": 50.8163 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 61.663930, 50.816300", + " Latitude: 61.66393°", + " Longitude: 50.8163°", + "Step 2: Convert latitude to DMS", + " Degrees = 61", + " Minutes = int((61.663930 - 61) × 60) = 39", + " Seconds = ((61.663930 - 61) × 60 - 39) × 60 = 50.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 50", + " Minutes = 48", + " Seconds = 58.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 61°39'50.1\"N, 50°48'58.7\"E", + "FINAL ANSWER: 61°39'50.1\"N, 50°48'58.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Poxoréu", + "source_format": "decimal_degrees", + "source_string": "-15.837220, -54.389170", + "target_format": "DMS", + "ground_truth": { + "target_string": "15°50'14.0\"S, 54°23'21.0\"W", + "latitude": -15.83722, + "longitude": -54.38917 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -15.837220, -54.389170", + " Latitude: -15.83722°", + " Longitude: -54.38917°", + "Step 2: Convert latitude to DMS", + " Degrees = 15", + " Minutes = int((15.837220 - 15) × 60) = 50", + " Seconds = ((15.837220 - 15) × 60 - 50) × 60 = 14.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 54", + " Minutes = 23", + " Seconds = 21.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 15°50'14.0\"S, 54°23'21.0\"W", + "FINAL ANSWER: 15°50'14.0\"S, 54°23'21.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Dukuria", + "source_format": "DMS", + "source_string": "23°42'39.4\"N, 90°22'26.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "23.710950, 90.374140", + "latitude": 23.71095, + "longitude": 90.37414 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 23°42'39.4\"N, 90°22'26.9\"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: 23.71095°", + "Step 4: Calculate longitude", + " Longitude: 90.37414°", + "FINAL ANSWER: 23.710950, 90.374140" + ] + }, + { + "task": "format_conversion", + "location_name": "Bismil", + "source_format": "DMS", + "source_string": "37°50'42.5\"N, 40°39'33.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "37.845140, 40.659310", + "latitude": 37.84514, + "longitude": 40.65931 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 37°50'42.5\"N, 40°39'33.5\"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: 37.84514°", + "Step 4: Calculate longitude", + " Longitude: 40.65931°", + "FINAL ANSWER: 37.845140, 40.659310" + ] + }, + { + "task": "format_conversion", + "location_name": "Norland", + "source_format": "DMS", + "source_string": "25°56'56.3\"N, 80°12'44.2\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "25.948980, -80.212270", + "latitude": 25.94898, + "longitude": -80.21227 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 25°56'56.3\"N, 80°12'44.2\"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: 25.94898°", + "Step 4: Calculate longitude", + " Longitude: -80.21227°", + "FINAL ANSWER: 25.948980, -80.212270" + ] + }, + { + "task": "format_conversion", + "location_name": "Báishí Zhèn", + "source_format": "decimal_degrees", + "source_string": "30.316660, 107.882470", + "target_format": "DMS", + "ground_truth": { + "target_string": "30°18'60.0\"N, 107°52'56.9\"E", + "latitude": 30.31666, + "longitude": 107.88247 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 30.316660, 107.882470", + " Latitude: 30.31666°", + " Longitude: 107.88247°", + "Step 2: Convert latitude to DMS", + " Degrees = 30", + " Minutes = int((30.316660 - 30) × 60) = 18", + " Seconds = ((30.316660 - 30) × 60 - 18) × 60 = 60.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 107", + " Minutes = 52", + " Seconds = 56.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 30°18'60.0\"N, 107°52'56.9\"E", + "FINAL ANSWER: 30°18'60.0\"N, 107°52'56.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Romita", + "source_format": "decimal_degrees", + "source_string": "20.871270, -101.516830", + "target_format": "DMS", + "ground_truth": { + "target_string": "20°52'16.6\"N, 101°31'0.6\"W", + "latitude": 20.87127, + "longitude": -101.51683 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 20.871270, -101.516830", + " Latitude: 20.87127°", + " Longitude: -101.51683°", + "Step 2: Convert latitude to DMS", + " Degrees = 20", + " Minutes = int((20.871270 - 20) × 60) = 52", + " Seconds = ((20.871270 - 20) × 60 - 52) × 60 = 16.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 101", + " Minutes = 31", + " Seconds = 0.6", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 20°52'16.6\"N, 101°31'0.6\"W", + "FINAL ANSWER: 20°52'16.6\"N, 101°31'0.6\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Hajnówka", + "source_format": "decimal_degrees", + "source_string": "52.743280, 23.581220", + "target_format": "DMS", + "ground_truth": { + "target_string": "52°44'35.8\"N, 23°34'52.4\"E", + "latitude": 52.74328, + "longitude": 23.58122 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 52.743280, 23.581220", + " Latitude: 52.74328°", + " Longitude: 23.58122°", + "Step 2: Convert latitude to DMS", + " Degrees = 52", + " Minutes = int((52.743280 - 52) × 60) = 44", + " Seconds = ((52.743280 - 52) × 60 - 44) × 60 = 35.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 23", + " Minutes = 34", + " Seconds = 52.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 52°44'35.8\"N, 23°34'52.4\"E", + "FINAL ANSWER: 52°44'35.8\"N, 23°34'52.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Sodhri", + "source_format": "DMS", + "source_string": "32°27'43.6\"N, 74°10'55.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "32.462110, 74.182070", + "latitude": 32.46211, + "longitude": 74.18207 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 32°27'43.6\"N, 74°10'55.5\"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: 32.46211°", + "Step 4: Calculate longitude", + " Longitude: 74.18207°", + "FINAL ANSWER: 32.462110, 74.182070" + ] + }, + { + "task": "format_conversion", + "location_name": "An Nu‘mānīyah", + "source_format": "decimal_degrees", + "source_string": "32.556210, 45.412930", + "target_format": "DMS", + "ground_truth": { + "target_string": "32°33'22.4\"N, 45°24'46.5\"E", + "latitude": 32.55621, + "longitude": 45.41293 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 32.556210, 45.412930", + " Latitude: 32.55621°", + " Longitude: 45.41293°", + "Step 2: Convert latitude to DMS", + " Degrees = 32", + " Minutes = int((32.556210 - 32) × 60) = 33", + " Seconds = ((32.556210 - 32) × 60 - 33) × 60 = 22.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 45", + " Minutes = 24", + " Seconds = 46.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 32°33'22.4\"N, 45°24'46.5\"E", + "FINAL ANSWER: 32°33'22.4\"N, 45°24'46.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Fujia", + "source_format": "DMS", + "source_string": "33°49'8.0\"N, 105°57'13.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "33.818890, 105.953610", + "latitude": 33.81889, + "longitude": 105.95361 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 33°49'8.0\"N, 105°57'13.0\"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: 33.81889°", + "Step 4: Calculate longitude", + " Longitude: 105.95361°", + "FINAL ANSWER: 33.818890, 105.953610" + ] + }, + { + "task": "format_conversion", + "location_name": "Benicarló", + "source_format": "decimal_degrees", + "source_string": "40.416500, 0.427090", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°24'59.4\"N, 0°25'37.5\"E", + "latitude": 40.4165, + "longitude": 0.42709 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.416500, 0.427090", + " Latitude: 40.4165°", + " Longitude: 0.42709°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.416500 - 40) × 60) = 24", + " Seconds = ((40.416500 - 40) × 60 - 24) × 60 = 59.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 0", + " Minutes = 25", + " Seconds = 37.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 40°24'59.4\"N, 0°25'37.5\"E", + "FINAL ANSWER: 40°24'59.4\"N, 0°25'37.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Manapla", + "source_format": "decimal_degrees", + "source_string": "10.958030, 123.123000", + "target_format": "DMS", + "ground_truth": { + "target_string": "10°57'28.9\"N, 123°7'22.8\"E", + "latitude": 10.95803, + "longitude": 123.123 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 10.958030, 123.123000", + " Latitude: 10.95803°", + " Longitude: 123.123°", + "Step 2: Convert latitude to DMS", + " Degrees = 10", + " Minutes = int((10.958030 - 10) × 60) = 57", + " Seconds = ((10.958030 - 10) × 60 - 57) × 60 = 28.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 123", + " Minutes = 7", + " Seconds = 22.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 10°57'28.9\"N, 123°7'22.8\"E", + "FINAL ANSWER: 10°57'28.9\"N, 123°7'22.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Jebba", + "source_format": "decimal_degrees", + "source_string": "9.119720, 4.823600", + "target_format": "DMS", + "ground_truth": { + "target_string": "9°7'11.0\"N, 4°49'25.0\"E", + "latitude": 9.11972, + "longitude": 4.8236 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 9.119720, 4.823600", + " Latitude: 9.11972°", + " Longitude: 4.8236°", + "Step 2: Convert latitude to DMS", + " Degrees = 9", + " Minutes = int((9.119720 - 9) × 60) = 7", + " Seconds = ((9.119720 - 9) × 60 - 7) × 60 = 11.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 4", + " Minutes = 49", + " Seconds = 25.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 9°7'11.0\"N, 4°49'25.0\"E", + "FINAL ANSWER: 9°7'11.0\"N, 4°49'25.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Dinajpur", + "source_format": "decimal_degrees", + "source_string": "25.627450, 88.637790", + "target_format": "DMS", + "ground_truth": { + "target_string": "25°37'38.8\"N, 88°38'16.0\"E", + "latitude": 25.62745, + "longitude": 88.63779 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 25.627450, 88.637790", + " Latitude: 25.62745°", + " Longitude: 88.63779°", + "Step 2: Convert latitude to DMS", + " Degrees = 25", + " Minutes = int((25.627450 - 25) × 60) = 37", + " Seconds = ((25.627450 - 25) × 60 - 37) × 60 = 38.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 88", + " Minutes = 38", + " Seconds = 16.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 25°37'38.8\"N, 88°38'16.0\"E", + "FINAL ANSWER: 25°37'38.8\"N, 88°38'16.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Nippes", + "source_format": "DMS", + "source_string": "50°57'55.6\"N, 6°57'11.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "50.965450, 6.953140", + "latitude": 50.96545, + "longitude": 6.95314 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 50°57'55.6\"N, 6°57'11.3\"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: 50.96545°", + "Step 4: Calculate longitude", + " Longitude: 6.95314°", + "FINAL ANSWER: 50.965450, 6.953140" + ] + }, + { + "task": "format_conversion", + "location_name": "Elazığ", + "source_format": "DMS", + "source_string": "38°40'27.5\"N, 39°13'23.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "38.674310, 39.223210", + "latitude": 38.67431, + "longitude": 39.22321 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 38°40'27.5\"N, 39°13'23.6\"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: 38.67431°", + "Step 4: Calculate longitude", + " Longitude: 39.22321°", + "FINAL ANSWER: 38.674310, 39.223210" + ] + }, + { + "task": "format_conversion", + "location_name": "Guildford", + "source_format": "DMS", + "source_string": "49°11'30.0\"N, 122°47'60.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "49.191670, -122.800000", + "latitude": 49.19167, + "longitude": -122.8 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 49°11'30.0\"N, 122°47'60.0\"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: 49.19167°", + "Step 4: Calculate longitude", + " Longitude: -122.8°", + "FINAL ANSWER: 49.191670, -122.800000" + ] + }, + { + "task": "format_conversion", + "location_name": "Banī Suwayf", + "source_format": "DMS", + "source_string": "29°4'27.9\"N, 31°5'52.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "29.074410, 31.097850", + "latitude": 29.07441, + "longitude": 31.09785 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 29°4'27.9\"N, 31°5'52.3\"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: 29.07441°", + "Step 4: Calculate longitude", + " Longitude: 31.09785°", + "FINAL ANSWER: 29.074410, 31.097850" + ] + }, + { + "task": "format_conversion", + "location_name": "Chũ", + "source_format": "decimal_degrees", + "source_string": "21.373790, 106.566490", + "target_format": "DMS", + "ground_truth": { + "target_string": "21°22'25.6\"N, 106°33'59.4\"E", + "latitude": 21.37379, + "longitude": 106.56649 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 21.373790, 106.566490", + " Latitude: 21.37379°", + " Longitude: 106.56649°", + "Step 2: Convert latitude to DMS", + " Degrees = 21", + " Minutes = int((21.373790 - 21) × 60) = 22", + " Seconds = ((21.373790 - 21) × 60 - 22) × 60 = 25.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 106", + " Minutes = 33", + " Seconds = 59.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 21°22'25.6\"N, 106°33'59.4\"E", + "FINAL ANSWER: 21°22'25.6\"N, 106°33'59.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Cannock", + "source_format": "DMS", + "source_string": "52°41'25.6\"N, 2°1'51.1\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "52.690450, -2.030850", + "latitude": 52.69045, + "longitude": -2.03085 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 52°41'25.6\"N, 2°1'51.1\"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: 52.69045°", + "Step 4: Calculate longitude", + " Longitude: -2.03085°", + "FINAL ANSWER: 52.690450, -2.030850" + ] + }, + { + "task": "format_conversion", + "location_name": "Sendagi", + "source_format": "DMS", + "source_string": "35°43'41.2\"N, 139°45'36.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "35.728120, 139.760170", + "latitude": 35.72812, + "longitude": 139.76017 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 35°43'41.2\"N, 139°45'36.6\"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: 35.72812°", + "Step 4: Calculate longitude", + " Longitude: 139.76017°", + "FINAL ANSWER: 35.728120, 139.760170" + ] + }, + { + "task": "format_conversion", + "location_name": "Merzifon", + "source_format": "DMS", + "source_string": "40°52'24.0\"N, 35°27'47.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.873330, 35.463060", + "latitude": 40.87333, + "longitude": 35.46306 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°52'24.0\"N, 35°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: 40.87333°", + "Step 4: Calculate longitude", + " Longitude: 35.46306°", + "FINAL ANSWER: 40.873330, 35.463060" + ] + }, + { + "task": "format_conversion", + "location_name": "Zhangzhai", + "source_format": "decimal_degrees", + "source_string": "34.616670, 116.950000", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°37'0.0\"N, 116°57'0.0\"E", + "latitude": 34.61667, + "longitude": 116.95 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 34.616670, 116.950000", + " Latitude: 34.61667°", + " Longitude: 116.95°", + "Step 2: Convert latitude to DMS", + " Degrees = 34", + " Minutes = int((34.616670 - 34) × 60) = 37", + " Seconds = ((34.616670 - 34) × 60 - 37) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 116", + " Minutes = 57", + " Seconds = 0.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 34°37'0.0\"N, 116°57'0.0\"E", + "FINAL ANSWER: 34°37'0.0\"N, 116°57'0.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Southfield", + "source_format": "DMS", + "source_string": "42°28'24.1\"N, 83°13'18.7\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "42.473370, -83.221870", + "latitude": 42.47337, + "longitude": -83.22187 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 42°28'24.1\"N, 83°13'18.7\"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: 42.47337°", + "Step 4: Calculate longitude", + " Longitude: -83.22187°", + "FINAL ANSWER: 42.473370, -83.221870" + ] + }, + { + "task": "format_conversion", + "location_name": "Ubud", + "source_format": "DMS", + "source_string": "8°30'35.3\"S, 115°15'55.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-8.509800, 115.265400", + "latitude": -8.5098, + "longitude": 115.2654 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 8°30'35.3\"S, 115°15'55.4\"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: -8.5098°", + "Step 4: Calculate longitude", + " Longitude: 115.2654°", + "FINAL ANSWER: -8.509800, 115.265400" + ] + }, + { + "task": "format_conversion", + "location_name": "Cadiz", + "source_format": "decimal_degrees", + "source_string": "36.526720, -6.289100", + "target_format": "DMS", + "ground_truth": { + "target_string": "36°31'36.2\"N, 6°17'20.8\"W", + "latitude": 36.52672, + "longitude": -6.2891 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 36.526720, -6.289100", + " Latitude: 36.52672°", + " Longitude: -6.2891°", + "Step 2: Convert latitude to DMS", + " Degrees = 36", + " Minutes = int((36.526720 - 36) × 60) = 31", + " Seconds = ((36.526720 - 36) × 60 - 31) × 60 = 36.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 6", + " Minutes = 17", + " Seconds = 20.8", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 36°31'36.2\"N, 6°17'20.8\"W", + "FINAL ANSWER: 36°31'36.2\"N, 6°17'20.8\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Madīnat ‘Īsá", + "source_format": "decimal_degrees", + "source_string": "26.173610, 50.547780", + "target_format": "DMS", + "ground_truth": { + "target_string": "26°10'25.0\"N, 50°32'52.0\"E", + "latitude": 26.17361, + "longitude": 50.54778 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 26.173610, 50.547780", + " Latitude: 26.17361°", + " Longitude: 50.54778°", + "Step 2: Convert latitude to DMS", + " Degrees = 26", + " Minutes = int((26.173610 - 26) × 60) = 10", + " Seconds = ((26.173610 - 26) × 60 - 10) × 60 = 25.0", + " 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°10'25.0\"N, 50°32'52.0\"E", + "FINAL ANSWER: 26°10'25.0\"N, 50°32'52.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Dunhao", + "source_format": "DMS", + "source_string": "31°19'58.8\"N, 108°21'29.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "31.333010, 108.358200", + "latitude": 31.33301, + "longitude": 108.3582 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 31°19'58.8\"N, 108°21'29.5\"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: 31.33301°", + "Step 4: Calculate longitude", + " Longitude: 108.3582°", + "FINAL ANSWER: 31.333010, 108.358200" + ] + }, + { + "task": "format_conversion", + "location_name": "Republica", + "source_format": "DMS", + "source_string": "23°32'41.1\"S, 46°38'27.8\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-23.544760, -46.641050", + "latitude": -23.54476, + "longitude": -46.64105 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 23°32'41.1\"S, 46°38'27.8\"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: -23.54476°", + "Step 4: Calculate longitude", + " Longitude: -46.64105°", + "FINAL ANSWER: -23.544760, -46.641050" + ] + }, + { + "task": "format_conversion", + "location_name": "Marechal Deodoro", + "source_format": "decimal_degrees", + "source_string": "-9.710280, -35.895000", + "target_format": "DMS", + "ground_truth": { + "target_string": "9°42'37.0\"S, 35°53'42.0\"W", + "latitude": -9.71028, + "longitude": -35.895 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -9.710280, -35.895000", + " Latitude: -9.71028°", + " Longitude: -35.895°", + "Step 2: Convert latitude to DMS", + " Degrees = 9", + " Minutes = int((9.710280 - 9) × 60) = 42", + " Seconds = ((9.710280 - 9) × 60 - 42) × 60 = 37.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 35", + " Minutes = 53", + " Seconds = 42.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 9°42'37.0\"S, 35°53'42.0\"W", + "FINAL ANSWER: 9°42'37.0\"S, 35°53'42.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Footscray", + "source_format": "DMS", + "source_string": "37°47'60.0\"S, 144°54'0.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-37.800000, 144.900000", + "latitude": -37.8, + "longitude": 144.9 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 37°47'60.0\"S, 144°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: -37.8°", + "Step 4: Calculate longitude", + " Longitude: 144.9°", + "FINAL ANSWER: -37.800000, 144.900000" + ] + }, + { + "task": "format_conversion", + "location_name": "Dimbokro", + "source_format": "decimal_degrees", + "source_string": "6.646780, -4.705190", + "target_format": "DMS", + "ground_truth": { + "target_string": "6°38'48.4\"N, 4°42'18.7\"W", + "latitude": 6.64678, + "longitude": -4.70519 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 6.646780, -4.705190", + " Latitude: 6.64678°", + " Longitude: -4.70519°", + "Step 2: Convert latitude to DMS", + " Degrees = 6", + " Minutes = int((6.646780 - 6) × 60) = 38", + " Seconds = ((6.646780 - 6) × 60 - 38) × 60 = 48.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 4", + " Minutes = 42", + " Seconds = 18.7", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 6°38'48.4\"N, 4°42'18.7\"W", + "FINAL ANSWER: 6°38'48.4\"N, 4°42'18.7\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Wilmersdorf", + "source_format": "decimal_degrees", + "source_string": "52.483330, 13.316670", + "target_format": "DMS", + "ground_truth": { + "target_string": "52°28'60.0\"N, 13°19'0.0\"E", + "latitude": 52.48333, + "longitude": 13.31667 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 52.483330, 13.316670", + " Latitude: 52.48333°", + " Longitude: 13.31667°", + "Step 2: Convert latitude to DMS", + " Degrees = 52", + " Minutes = int((52.483330 - 52) × 60) = 28", + " Seconds = ((52.483330 - 52) × 60 - 28) × 60 = 60.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 13", + " Minutes = 19", + " Seconds = 0.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 52°28'60.0\"N, 13°19'0.0\"E", + "FINAL ANSWER: 52°28'60.0\"N, 13°19'0.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Noginsk", + "source_format": "DMS", + "source_string": "55°51'53.5\"N, 38°26'54.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "55.864860, 38.448530", + "latitude": 55.86486, + "longitude": 38.44853 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 55°51'53.5\"N, 38°26'54.7\"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: 55.86486°", + "Step 4: Calculate longitude", + " Longitude: 38.44853°", + "FINAL ANSWER: 55.864860, 38.448530" + ] + }, + { + "task": "format_conversion", + "location_name": "Qayroqqum", + "source_format": "DMS", + "source_string": "40°15'57.5\"N, 69°47'45.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.265980, 69.795850", + "latitude": 40.26598, + "longitude": 69.79585 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°15'57.5\"N, 69°47'45.1\"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: 40.26598°", + "Step 4: Calculate longitude", + " Longitude: 69.79585°", + "FINAL ANSWER: 40.265980, 69.795850" + ] + }, + { + "task": "format_conversion", + "location_name": "Moyo", + "source_format": "DMS", + "source_string": "3°39'39.2\"N, 31°43'29.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "3.660880, 31.724740", + "latitude": 3.66088, + "longitude": 31.72474 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 3°39'39.2\"N, 31°43'29.1\"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: 3.66088°", + "Step 4: Calculate longitude", + " Longitude: 31.72474°", + "FINAL ANSWER: 3.660880, 31.724740" + ] + }, + { + "task": "format_conversion", + "location_name": "Fafe", + "source_format": "DMS", + "source_string": "41°27'3.0\"N, 8°10'21.3\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "41.450830, -8.172580", + "latitude": 41.45083, + "longitude": -8.17258 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 41°27'3.0\"N, 8°10'21.3\"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: 41.45083°", + "Step 4: Calculate longitude", + " Longitude: -8.17258°", + "FINAL ANSWER: 41.450830, -8.172580" + ] + }, + { + "task": "format_conversion", + "location_name": "Bilgrām", + "source_format": "decimal_degrees", + "source_string": "27.175090, 80.032010", + "target_format": "DMS", + "ground_truth": { + "target_string": "27°10'30.3\"N, 80°1'55.2\"E", + "latitude": 27.17509, + "longitude": 80.03201 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 27.175090, 80.032010", + " Latitude: 27.17509°", + " Longitude: 80.03201°", + "Step 2: Convert latitude to DMS", + " Degrees = 27", + " Minutes = int((27.175090 - 27) × 60) = 10", + " Seconds = ((27.175090 - 27) × 60 - 10) × 60 = 30.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 80", + " Minutes = 1", + " Seconds = 55.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 27°10'30.3\"N, 80°1'55.2\"E", + "FINAL ANSWER: 27°10'30.3\"N, 80°1'55.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Gorelovo", + "source_format": "DMS", + "source_string": "59°46'20.4\"N, 30°8'4.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "59.772340, 30.134550", + "latitude": 59.77234, + "longitude": 30.13455 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 59°46'20.4\"N, 30°8'4.4\"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: 59.77234°", + "Step 4: Calculate longitude", + " Longitude: 30.13455°", + "FINAL ANSWER: 59.772340, 30.134550" + ] + }, + { + "task": "format_conversion", + "location_name": "Hida", + "source_format": "decimal_degrees", + "source_string": "36.244830, 137.173230", + "target_format": "DMS", + "ground_truth": { + "target_string": "36°14'41.4\"N, 137°10'23.6\"E", + "latitude": 36.24483, + "longitude": 137.17323 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 36.244830, 137.173230", + " Latitude: 36.24483°", + " Longitude: 137.17323°", + "Step 2: Convert latitude to DMS", + " Degrees = 36", + " Minutes = int((36.244830 - 36) × 60) = 14", + " Seconds = ((36.244830 - 36) × 60 - 14) × 60 = 41.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 137", + " Minutes = 10", + " Seconds = 23.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 36°14'41.4\"N, 137°10'23.6\"E", + "FINAL ANSWER: 36°14'41.4\"N, 137°10'23.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Libāspur", + "source_format": "DMS", + "source_string": "28°45'3.2\"N, 77°8'47.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "28.750890, 77.146470", + "latitude": 28.75089, + "longitude": 77.14647 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 28°45'3.2\"N, 77°8'47.3\"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: 28.75089°", + "Step 4: Calculate longitude", + " Longitude: 77.14647°", + "FINAL ANSWER: 28.750890, 77.146470" + ] + }, + { + "task": "format_conversion", + "location_name": "Steenwijk", + "source_format": "DMS", + "source_string": "52°47'15.0\"N, 6°7'15.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "52.787500, 6.120830", + "latitude": 52.7875, + "longitude": 6.12083 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 52°47'15.0\"N, 6°7'15.0\"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: 52.7875°", + "Step 4: Calculate longitude", + " Longitude: 6.12083°", + "FINAL ANSWER: 52.787500, 6.120830" + ] + }, + { + "task": "format_conversion", + "location_name": "Xirivella", + "source_format": "decimal_degrees", + "source_string": "39.465880, -0.425890", + "target_format": "DMS", + "ground_truth": { + "target_string": "39°27'57.2\"N, 0°25'33.2\"W", + "latitude": 39.46588, + "longitude": -0.42589 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 39.465880, -0.425890", + " Latitude: 39.46588°", + " Longitude: -0.42589°", + "Step 2: Convert latitude to DMS", + " Degrees = 39", + " Minutes = int((39.465880 - 39) × 60) = 27", + " Seconds = ((39.465880 - 39) × 60 - 27) × 60 = 57.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 0", + " Minutes = 25", + " Seconds = 33.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 39°27'57.2\"N, 0°25'33.2\"W", + "FINAL ANSWER: 39°27'57.2\"N, 0°25'33.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Narita", + "source_format": "DMS", + "source_string": "35°46'60.0\"N, 140°19'0.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "35.783330, 140.316670", + "latitude": 35.78333, + "longitude": 140.31667 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 35°46'60.0\"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: 35.78333°", + "Step 4: Calculate longitude", + " Longitude: 140.31667°", + "FINAL ANSWER: 35.783330, 140.316670" + ] + }, + { + "task": "format_conversion", + "location_name": "Ghulja", + "source_format": "DMS", + "source_string": "43°54'54.5\"N, 81°19'17.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "43.915150, 81.321510", + "latitude": 43.91515, + "longitude": 81.32151 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 43°54'54.5\"N, 81°19'17.4\"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: 43.91515°", + "Step 4: Calculate longitude", + " Longitude: 81.32151°", + "FINAL ANSWER: 43.915150, 81.321510" + ] + }, + { + "task": "format_conversion", + "location_name": "Pemba", + "source_format": "decimal_degrees", + "source_string": "-12.973950, 40.517750", + "target_format": "DMS", + "ground_truth": { + "target_string": "12°58'26.2\"S, 40°31'3.9\"E", + "latitude": -12.97395, + "longitude": 40.51775 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -12.973950, 40.517750", + " Latitude: -12.97395°", + " Longitude: 40.51775°", + "Step 2: Convert latitude to DMS", + " Degrees = 12", + " Minutes = int((12.973950 - 12) × 60) = 58", + " Seconds = ((12.973950 - 12) × 60 - 58) × 60 = 26.2", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 40", + " Minutes = 31", + " Seconds = 3.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 12°58'26.2\"S, 40°31'3.9\"E", + "FINAL ANSWER: 12°58'26.2\"S, 40°31'3.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Wayne", + "source_format": "DMS", + "source_string": "40°55'31.4\"N, 74°16'35.5\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.925380, -74.276540", + "latitude": 40.92538, + "longitude": -74.27654 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°55'31.4\"N, 74°16'35.5\"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: 40.92538°", + "Step 4: Calculate longitude", + " Longitude: -74.27654°", + "FINAL ANSWER: 40.925380, -74.276540" + ] + }, + { + "task": "format_conversion", + "location_name": "Haining", + "source_format": "decimal_degrees", + "source_string": "30.536290, 120.686380", + "target_format": "DMS", + "ground_truth": { + "target_string": "30°32'10.6\"N, 120°41'11.0\"E", + "latitude": 30.53629, + "longitude": 120.68638 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 30.536290, 120.686380", + " Latitude: 30.53629°", + " Longitude: 120.68638°", + "Step 2: Convert latitude to DMS", + " Degrees = 30", + " Minutes = int((30.536290 - 30) × 60) = 32", + " Seconds = ((30.536290 - 30) × 60 - 32) × 60 = 10.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 120", + " Minutes = 41", + " Seconds = 11.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 30°32'10.6\"N, 120°41'11.0\"E", + "FINAL ANSWER: 30°32'10.6\"N, 120°41'11.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Obando", + "source_format": "DMS", + "source_string": "14°42'35.3\"N, 120°56'10.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "14.709800, 120.936200", + "latitude": 14.7098, + "longitude": 120.9362 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 14°42'35.3\"N, 120°56'10.3\"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: 14.7098°", + "Step 4: Calculate longitude", + " Longitude: 120.9362°", + "FINAL ANSWER: 14.709800, 120.936200" + ] + }, + { + "task": "format_conversion", + "location_name": "Zacapa", + "source_format": "decimal_degrees", + "source_string": "14.968670, -89.527320", + "target_format": "DMS", + "ground_truth": { + "target_string": "14°58'7.2\"N, 89°31'38.4\"W", + "latitude": 14.96867, + "longitude": -89.52732 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 14.968670, -89.527320", + " Latitude: 14.96867°", + " Longitude: -89.52732°", + "Step 2: Convert latitude to DMS", + " Degrees = 14", + " Minutes = int((14.968670 - 14) × 60) = 58", + " Seconds = ((14.968670 - 14) × 60 - 58) × 60 = 7.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 89", + " Minutes = 31", + " Seconds = 38.4", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 14°58'7.2\"N, 89°31'38.4\"W", + "FINAL ANSWER: 14°58'7.2\"N, 89°31'38.4\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Quinte West", + "source_format": "DMS", + "source_string": "44°11'0.3\"N, 77°33'58.2\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "44.183420, -77.566180", + "latitude": 44.18342, + "longitude": -77.56618 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 44°11'0.3\"N, 77°33'58.2\"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: 44.18342°", + "Step 4: Calculate longitude", + " Longitude: -77.56618°", + "FINAL ANSWER: 44.183420, -77.566180" + ] + }, + { + "task": "format_conversion", + "location_name": "Esenler", + "source_format": "DMS", + "source_string": "41°2'36.6\"N, 28°52'34.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "41.043500, 28.876190", + "latitude": 41.0435, + "longitude": 28.87619 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 41°2'36.6\"N, 28°52'34.3\"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: 41.0435°", + "Step 4: Calculate longitude", + " Longitude: 28.87619°", + "FINAL ANSWER: 41.043500, 28.876190" + ] + }, + { + "task": "format_conversion", + "location_name": "Antalaha", + "source_format": "decimal_degrees", + "source_string": "-14.900330, 50.278760", + "target_format": "DMS", + "ground_truth": { + "target_string": "14°54'1.2\"S, 50°16'43.5\"E", + "latitude": -14.90033, + "longitude": 50.27876 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -14.900330, 50.278760", + " Latitude: -14.90033°", + " Longitude: 50.27876°", + "Step 2: Convert latitude to DMS", + " Degrees = 14", + " Minutes = int((14.900330 - 14) × 60) = 54", + " Seconds = ((14.900330 - 14) × 60 - 54) × 60 = 1.2", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 50", + " Minutes = 16", + " Seconds = 43.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 14°54'1.2\"S, 50°16'43.5\"E", + "FINAL ANSWER: 14°54'1.2\"S, 50°16'43.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Katha", + "source_format": "DMS", + "source_string": "24°10'31.5\"N, 96°20'29.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "24.175410, 96.341440", + "latitude": 24.17541, + "longitude": 96.34144 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 24°10'31.5\"N, 96°20'29.2\"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: 24.17541°", + "Step 4: Calculate longitude", + " Longitude: 96.34144°", + "FINAL ANSWER: 24.175410, 96.341440" + ] + }, + { + "task": "format_conversion", + "location_name": "Staunton", + "source_format": "decimal_degrees", + "source_string": "38.149910, -79.073200", + "target_format": "DMS", + "ground_truth": { + "target_string": "38°8'59.7\"N, 79°4'23.5\"W", + "latitude": 38.14991, + "longitude": -79.0732 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 38.149910, -79.073200", + " Latitude: 38.14991°", + " Longitude: -79.0732°", + "Step 2: Convert latitude to DMS", + " Degrees = 38", + " Minutes = int((38.149910 - 38) × 60) = 8", + " Seconds = ((38.149910 - 38) × 60 - 8) × 60 = 59.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 79", + " Minutes = 4", + " Seconds = 23.5", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 38°8'59.7\"N, 79°4'23.5\"W", + "FINAL ANSWER: 38°8'59.7\"N, 79°4'23.5\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Mugalivakkam", + "source_format": "DMS", + "source_string": "13°1'13.9\"N, 80°9'55.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "13.020540, 80.165280", + "latitude": 13.02054, + "longitude": 80.16528 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 13°1'13.9\"N, 80°9'55.0\"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: 13.02054°", + "Step 4: Calculate longitude", + " Longitude: 80.16528°", + "FINAL ANSWER: 13.020540, 80.165280" + ] + }, + { + "task": "format_conversion", + "location_name": "Ilorin", + "source_format": "DMS", + "source_string": "8°29'47.9\"N, 4°32'31.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "8.496640, 4.542140", + "latitude": 8.49664, + "longitude": 4.54214 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 8°29'47.9\"N, 4°32'31.7\"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: 8.49664°", + "Step 4: Calculate longitude", + " Longitude: 4.54214°", + "FINAL ANSWER: 8.496640, 4.542140" + ] + }, + { + "task": "format_conversion", + "location_name": "Bilajari", + "source_format": "DMS", + "source_string": "40°26'39.8\"N, 49°48'20.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.444400, 49.805660", + "latitude": 40.4444, + "longitude": 49.80566 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°26'39.8\"N, 49°48'20.4\"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: 40.4444°", + "Step 4: Calculate longitude", + " Longitude: 49.80566°", + "FINAL ANSWER: 40.444400, 49.805660" + ] + }, + { + "task": "format_conversion", + "location_name": "Igarassu", + "source_format": "decimal_degrees", + "source_string": "-7.834170, -34.906390", + "target_format": "DMS", + "ground_truth": { + "target_string": "7°50'3.0\"S, 34°54'23.0\"W", + "latitude": -7.83417, + "longitude": -34.90639 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -7.834170, -34.906390", + " Latitude: -7.83417°", + " Longitude: -34.90639°", + "Step 2: Convert latitude to DMS", + " Degrees = 7", + " Minutes = int((7.834170 - 7) × 60) = 50", + " Seconds = ((7.834170 - 7) × 60 - 50) × 60 = 3.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 34", + " Minutes = 54", + " Seconds = 23.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 7°50'3.0\"S, 34°54'23.0\"W", + "FINAL ANSWER: 7°50'3.0\"S, 34°54'23.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Unaí", + "source_format": "decimal_degrees", + "source_string": "-16.357500, -46.906110", + "target_format": "DMS", + "ground_truth": { + "target_string": "16°21'27.0\"S, 46°54'22.0\"W", + "latitude": -16.3575, + "longitude": -46.90611 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -16.357500, -46.906110", + " Latitude: -16.3575°", + " Longitude: -46.90611°", + "Step 2: Convert latitude to DMS", + " Degrees = 16", + " Minutes = int((16.357500 - 16) × 60) = 21", + " Seconds = ((16.357500 - 16) × 60 - 21) × 60 = 27.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 46", + " Minutes = 54", + " Seconds = 22.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 16°21'27.0\"S, 46°54'22.0\"W", + "FINAL ANSWER: 16°21'27.0\"S, 46°54'22.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Baraguá", + "source_format": "DMS", + "source_string": "21°40'55.8\"N, 78°37'32.4\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "21.682160, -78.625670", + "latitude": 21.68216, + "longitude": -78.62567 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 21°40'55.8\"N, 78°37'32.4\"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: 21.68216°", + "Step 4: Calculate longitude", + " Longitude: -78.62567°", + "FINAL ANSWER: 21.682160, -78.625670" + ] + }, + { + "task": "format_conversion", + "location_name": "Mbabane", + "source_format": "DMS", + "source_string": "26°19'0.0\"S, 31°7'60.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-26.316670, 31.133330", + "latitude": -26.31667, + "longitude": 31.13333 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 26°19'0.0\"S, 31°7'60.0\"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: -26.31667°", + "Step 4: Calculate longitude", + " Longitude: 31.13333°", + "FINAL ANSWER: -26.316670, 31.133330" + ] + }, + { + "task": "format_conversion", + "location_name": "Kudāl", + "source_format": "DD", + "source_string": "16.011480, 73.688670", + "target_format": "DMS", + "ground_truth": { + "target_string": "16°0'41.3\"N, 73°41'19.2\"E", + "latitude": 16.01148, + "longitude": 73.68867 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: 16.011480, 73.688670", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 16°0'41.3\"N, 73°41'19.2\"E", + "FINAL ANSWER: 16°0'41.3\"N, 73°41'19.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kadoorie", + "source_format": "DMS", + "source_string": "22°19'20.9\"N, 114°10'32.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "22.322470, 114.175560", + "latitude": 22.32247, + "longitude": 114.17556 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 22°19'20.9\"N, 114°10'32.0\"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: 22.32247°", + "Step 4: Calculate longitude", + " Longitude: 114.17556°", + "FINAL ANSWER: 22.322470, 114.175560" + ] + }, + { + "task": "format_conversion", + "location_name": "Yuxia", + "source_format": "DMS", + "source_string": "34°3'41.5\"N, 108°37'44.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "34.061530, 108.629050", + "latitude": 34.06153, + "longitude": 108.62905 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 34°3'41.5\"N, 108°37'44.6\"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: 34.06153°", + "Step 4: Calculate longitude", + " Longitude: 108.62905°", + "FINAL ANSWER: 34.061530, 108.629050" + ] + }, + { + "task": "format_conversion", + "location_name": "Horten", + "source_format": "DMS", + "source_string": "59°25'2.0\"N, 10°29'0.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "59.417210, 10.483430", + "latitude": 59.41721, + "longitude": 10.48343 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 59°25'2.0\"N, 10°29'0.3\"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: 59.41721°", + "Step 4: Calculate longitude", + " Longitude: 10.48343°", + "FINAL ANSWER: 59.417210, 10.483430" + ] + }, + { + "task": "format_conversion", + "location_name": "Mangshi", + "source_format": "decimal_degrees", + "source_string": "24.453290, 98.570370", + "target_format": "DMS", + "ground_truth": { + "target_string": "24°27'11.8\"N, 98°34'13.3\"E", + "latitude": 24.45329, + "longitude": 98.57037 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 24.453290, 98.570370", + " Latitude: 24.45329°", + " Longitude: 98.57037°", + "Step 2: Convert latitude to DMS", + " Degrees = 24", + " Minutes = int((24.453290 - 24) × 60) = 27", + " Seconds = ((24.453290 - 24) × 60 - 27) × 60 = 11.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 98", + " Minutes = 34", + " Seconds = 13.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 24°27'11.8\"N, 98°34'13.3\"E", + "FINAL ANSWER: 24°27'11.8\"N, 98°34'13.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Saoner", + "source_format": "decimal_degrees", + "source_string": "21.385100, 78.921550", + "target_format": "DMS", + "ground_truth": { + "target_string": "21°23'6.4\"N, 78°55'17.6\"E", + "latitude": 21.3851, + "longitude": 78.92155 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 21.385100, 78.921550", + " Latitude: 21.3851°", + " Longitude: 78.92155°", + "Step 2: Convert latitude to DMS", + " Degrees = 21", + " Minutes = int((21.385100 - 21) × 60) = 23", + " Seconds = ((21.385100 - 21) × 60 - 23) × 60 = 6.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 78", + " Minutes = 55", + " Seconds = 17.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 21°23'6.4\"N, 78°55'17.6\"E", + "FINAL ANSWER: 21°23'6.4\"N, 78°55'17.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Giussano", + "source_format": "DMS", + "source_string": "45°42'0.1\"N, 9°12'32.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "45.700040, 9.208900", + "latitude": 45.70004, + "longitude": 9.2089 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 45°42'0.1\"N, 9°12'32.0\"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: 45.70004°", + "Step 4: Calculate longitude", + " Longitude: 9.2089°", + "FINAL ANSWER: 45.700040, 9.208900" + ] + }, + { + "task": "format_conversion", + "location_name": "Minamiarupusu", + "source_format": "DMS", + "source_string": "35°36'30.8\"N, 138°27'53.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "35.608550, 138.464730", + "latitude": 35.60855, + "longitude": 138.46473 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 35°36'30.8\"N, 138°27'53.0\"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: 35.60855°", + "Step 4: Calculate longitude", + " Longitude: 138.46473°", + "FINAL ANSWER: 35.608550, 138.464730" + ] + }, + { + "task": "format_conversion", + "location_name": "Kabankalan", + "source_format": "DMS", + "source_string": "9°59'2.0\"N, 122°48'51.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "9.983900, 122.814230", + "latitude": 9.9839, + "longitude": 122.81423 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 9°59'2.0\"N, 122°48'51.2\"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: 9.9839°", + "Step 4: Calculate longitude", + " Longitude: 122.81423°", + "FINAL ANSWER: 9.983900, 122.814230" + ] + }, + { + "task": "format_conversion", + "location_name": "Nāyf", + "source_format": "decimal_degrees", + "source_string": "25.271390, 55.303230", + "target_format": "DMS", + "ground_truth": { + "target_string": "25°16'17.0\"N, 55°18'11.6\"E", + "latitude": 25.27139, + "longitude": 55.30323 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 25.271390, 55.303230", + " Latitude: 25.27139°", + " Longitude: 55.30323°", + "Step 2: Convert latitude to DMS", + " Degrees = 25", + " Minutes = int((25.271390 - 25) × 60) = 16", + " Seconds = ((25.271390 - 25) × 60 - 16) × 60 = 17.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 55", + " Minutes = 18", + " Seconds = 11.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 25°16'17.0\"N, 55°18'11.6\"E", + "FINAL ANSWER: 25°16'17.0\"N, 55°18'11.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Dom Pedrito", + "source_format": "DMS", + "source_string": "30°58'58.0\"S, 54°40'23.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-30.982780, -54.673060", + "latitude": -30.98278, + "longitude": -54.67306 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 30°58'58.0\"S, 54°40'23.0\"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: -30.98278°", + "Step 4: Calculate longitude", + " Longitude: -54.67306°", + "FINAL ANSWER: -30.982780, -54.673060" + ] + }, + { + "task": "format_conversion", + "location_name": "Thiene", + "source_format": "DMS", + "source_string": "45°42'31.7\"N, 11°28'46.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "45.708800, 11.479590", + "latitude": 45.7088, + "longitude": 11.47959 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 45°42'31.7\"N, 11°28'46.5\"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: 45.7088°", + "Step 4: Calculate longitude", + " Longitude: 11.47959°", + "FINAL ANSWER: 45.708800, 11.479590" + ] + }, + { + "task": "format_conversion", + "location_name": "Thomson", + "source_format": "DMS", + "source_string": "1°20'57.0\"N, 103°50'37.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "1.349170, 103.843610", + "latitude": 1.34917, + "longitude": 103.84361 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 1°20'57.0\"N, 103°50'37.0\"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: 1.34917°", + "Step 4: Calculate longitude", + " Longitude: 103.84361°", + "FINAL ANSWER: 1.349170, 103.843610" + ] + }, + { + "task": "format_conversion", + "location_name": "Firmat", + "source_format": "DMS", + "source_string": "33°27'33.7\"S, 61°28'59.5\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-33.459370, -61.483200", + "latitude": -33.45937, + "longitude": -61.4832 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 33°27'33.7\"S, 61°28'59.5\"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: -33.45937°", + "Step 4: Calculate longitude", + " Longitude: -61.4832°", + "FINAL ANSWER: -33.459370, -61.483200" + ] + }, + { + "task": "format_conversion", + "location_name": "Bejucal", + "source_format": "decimal_degrees", + "source_string": "22.928610, -82.388610", + "target_format": "DMS", + "ground_truth": { + "target_string": "22°55'43.0\"N, 82°23'19.0\"W", + "latitude": 22.92861, + "longitude": -82.38861 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 22.928610, -82.388610", + " Latitude: 22.92861°", + " Longitude: -82.38861°", + "Step 2: Convert latitude to DMS", + " Degrees = 22", + " Minutes = int((22.928610 - 22) × 60) = 55", + " Seconds = ((22.928610 - 22) × 60 - 55) × 60 = 43.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 82", + " Minutes = 23", + " Seconds = 19.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 22°55'43.0\"N, 82°23'19.0\"W", + "FINAL ANSWER: 22°55'43.0\"N, 82°23'19.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Chełm", + "source_format": "decimal_degrees", + "source_string": "54.340480, 18.619250", + "target_format": "DMS", + "ground_truth": { + "target_string": "54°20'25.7\"N, 18°37'9.3\"E", + "latitude": 54.34048, + "longitude": 18.61925 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 54.340480, 18.619250", + " Latitude: 54.34048°", + " Longitude: 18.61925°", + "Step 2: Convert latitude to DMS", + " Degrees = 54", + " Minutes = int((54.340480 - 54) × 60) = 20", + " Seconds = ((54.340480 - 54) × 60 - 20) × 60 = 25.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 18", + " Minutes = 37", + " Seconds = 9.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 54°20'25.7\"N, 18°37'9.3\"E", + "FINAL ANSWER: 54°20'25.7\"N, 18°37'9.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Bako", + "source_format": "decimal_degrees", + "source_string": "5.783330, 36.566670", + "target_format": "DMS", + "ground_truth": { + "target_string": "5°46'60.0\"N, 36°34'0.0\"E", + "latitude": 5.78333, + "longitude": 36.56667 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 5.783330, 36.566670", + " Latitude: 5.78333°", + " Longitude: 36.56667°", + "Step 2: Convert latitude to DMS", + " Degrees = 5", + " Minutes = int((5.783330 - 5) × 60) = 46", + " Seconds = ((5.783330 - 5) × 60 - 46) × 60 = 60.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 36", + " Minutes = 34", + " Seconds = 0.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 5°46'60.0\"N, 36°34'0.0\"E", + "FINAL ANSWER: 5°46'60.0\"N, 36°34'0.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Cherbourg", + "source_format": "DMS", + "source_string": "49°38'23.4\"N, 1°36'58.9\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "49.639840, -1.616360", + "latitude": 49.63984, + "longitude": -1.61636 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 49°38'23.4\"N, 1°36'58.9\"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: 49.63984°", + "Step 4: Calculate longitude", + " Longitude: -1.61636°", + "FINAL ANSWER: 49.639840, -1.616360" + ] + }, + { + "task": "format_conversion", + "location_name": "Haiphong", + "source_format": "decimal_degrees", + "source_string": "20.864810, 106.683450", + "target_format": "DMS", + "ground_truth": { + "target_string": "20°51'53.3\"N, 106°41'0.4\"E", + "latitude": 20.86481, + "longitude": 106.68345 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 20.864810, 106.683450", + " Latitude: 20.86481°", + " Longitude: 106.68345°", + "Step 2: Convert latitude to DMS", + " Degrees = 20", + " Minutes = int((20.864810 - 20) × 60) = 51", + " Seconds = ((20.864810 - 20) × 60 - 51) × 60 = 53.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 106", + " Minutes = 41", + " Seconds = 0.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 20°51'53.3\"N, 106°41'0.4\"E", + "FINAL ANSWER: 20°51'53.3\"N, 106°41'0.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Bandipura", + "source_format": "decimal_degrees", + "source_string": "34.417280, 74.643080", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°25'2.2\"N, 74°38'35.1\"E", + "latitude": 34.41728, + "longitude": 74.64308 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 34.417280, 74.643080", + " Latitude: 34.41728°", + " Longitude: 74.64308°", + "Step 2: Convert latitude to DMS", + " Degrees = 34", + " Minutes = int((34.417280 - 34) × 60) = 25", + " Seconds = ((34.417280 - 34) × 60 - 25) × 60 = 2.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 74", + " Minutes = 38", + " Seconds = 35.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 34°25'2.2\"N, 74°38'35.1\"E", + "FINAL ANSWER: 34°25'2.2\"N, 74°38'35.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "As-Suwayda", + "source_format": "DMS", + "source_string": "32°42'32.3\"N, 36°34'10.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "32.708960, 36.569510", + "latitude": 32.70896, + "longitude": 36.56951 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 32°42'32.3\"N, 36°34'10.2\"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: 32.70896°", + "Step 4: Calculate longitude", + " Longitude: 36.56951°", + "FINAL ANSWER: 32.708960, 36.569510" + ] + }, + { + "task": "format_conversion", + "location_name": "San Francisco Cuaxusco", + "source_format": "DMS", + "source_string": "19°16'3.2\"N, 99°37'9.3\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "19.267550, -99.619250", + "latitude": 19.26755, + "longitude": -99.61925 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 19°16'3.2\"N, 99°37'9.3\"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: 19.26755°", + "Step 4: Calculate longitude", + " Longitude: -99.61925°", + "FINAL ANSWER: 19.267550, -99.619250" + ] + }, + { + "task": "format_conversion", + "location_name": "Santa Ana Xalmimilulco", + "source_format": "DMS", + "source_string": "19°12'46.3\"N, 98°22'55.5\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "19.212870, -98.382070", + "latitude": 19.21287, + "longitude": -98.38207 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 19°12'46.3\"N, 98°22'55.5\"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: 19.21287°", + "Step 4: Calculate longitude", + " Longitude: -98.38207°", + "FINAL ANSWER: 19.212870, -98.382070" + ] + }, + { + "task": "format_conversion", + "location_name": "Lucapa", + "source_format": "DMS", + "source_string": "8°25'8.9\"S, 20°44'40.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-8.419150, 20.744660", + "latitude": -8.41915, + "longitude": 20.74466 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 8°25'8.9\"S, 20°44'40.8\"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: -8.41915°", + "Step 4: Calculate longitude", + " Longitude: 20.74466°", + "FINAL ANSWER: -8.419150, 20.744660" + ] + }, + { + "task": "format_conversion", + "location_name": "Harbel", + "source_format": "decimal_degrees", + "source_string": "6.246830, -10.356420", + "target_format": "DMS", + "ground_truth": { + "target_string": "6°14'48.6\"N, 10°21'23.1\"W", + "latitude": 6.24683, + "longitude": -10.35642 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 6.246830, -10.356420", + " Latitude: 6.24683°", + " Longitude: -10.35642°", + "Step 2: Convert latitude to DMS", + " Degrees = 6", + " Minutes = int((6.246830 - 6) × 60) = 14", + " Seconds = ((6.246830 - 6) × 60 - 14) × 60 = 48.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 10", + " Minutes = 21", + " Seconds = 23.1", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 6°14'48.6\"N, 10°21'23.1\"W", + "FINAL ANSWER: 6°14'48.6\"N, 10°21'23.1\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Kichha", + "source_format": "decimal_degrees", + "source_string": "28.911540, 79.520090", + "target_format": "DMS", + "ground_truth": { + "target_string": "28°54'41.5\"N, 79°31'12.3\"E", + "latitude": 28.91154, + "longitude": 79.52009 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 28.911540, 79.520090", + " Latitude: 28.91154°", + " Longitude: 79.52009°", + "Step 2: Convert latitude to DMS", + " Degrees = 28", + " Minutes = int((28.911540 - 28) × 60) = 54", + " Seconds = ((28.911540 - 28) × 60 - 54) × 60 = 41.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 79", + " Minutes = 31", + " Seconds = 12.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 28°54'41.5\"N, 79°31'12.3\"E", + "FINAL ANSWER: 28°54'41.5\"N, 79°31'12.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Colinas", + "source_format": "decimal_degrees", + "source_string": "-6.025830, -44.249170", + "target_format": "DMS", + "ground_truth": { + "target_string": "6°1'33.0\"S, 44°14'57.0\"W", + "latitude": -6.02583, + "longitude": -44.24917 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -6.025830, -44.249170", + " Latitude: -6.02583°", + " Longitude: -44.24917°", + "Step 2: Convert latitude to DMS", + " Degrees = 6", + " Minutes = int((6.025830 - 6) × 60) = 1", + " Seconds = ((6.025830 - 6) × 60 - 1) × 60 = 33.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 44", + " Minutes = 14", + " Seconds = 57.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 6°1'33.0\"S, 44°14'57.0\"W", + "FINAL ANSWER: 6°1'33.0\"S, 44°14'57.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Wantagh", + "source_format": "decimal_degrees", + "source_string": "40.683710, -73.510130", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°41'1.4\"N, 73°30'36.5\"W", + "latitude": 40.68371, + "longitude": -73.51013 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.683710, -73.510130", + " Latitude: 40.68371°", + " Longitude: -73.51013°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.683710 - 40) × 60) = 41", + " Seconds = ((40.683710 - 40) × 60 - 41) × 60 = 1.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 73", + " Minutes = 30", + " Seconds = 36.5", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 40°41'1.4\"N, 73°30'36.5\"W", + "FINAL ANSWER: 40°41'1.4\"N, 73°30'36.5\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Kāraikkudi", + "source_format": "decimal_degrees", + "source_string": "10.066150, 78.767840", + "target_format": "DMS", + "ground_truth": { + "target_string": "10°3'58.1\"N, 78°46'4.2\"E", + "latitude": 10.06615, + "longitude": 78.76784 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 10.066150, 78.767840", + " Latitude: 10.06615°", + " Longitude: 78.76784°", + "Step 2: Convert latitude to DMS", + " Degrees = 10", + " Minutes = int((10.066150 - 10) × 60) = 3", + " Seconds = ((10.066150 - 10) × 60 - 3) × 60 = 58.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 78", + " Minutes = 46", + " Seconds = 4.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 10°3'58.1\"N, 78°46'4.2\"E", + "FINAL ANSWER: 10°3'58.1\"N, 78°46'4.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Ramon", + "source_format": "decimal_degrees", + "source_string": "16.784160, 121.535040", + "target_format": "DMS", + "ground_truth": { + "target_string": "16°47'3.0\"N, 121°32'6.1\"E", + "latitude": 16.78416, + "longitude": 121.53504 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 16.784160, 121.535040", + " Latitude: 16.78416°", + " Longitude: 121.53504°", + "Step 2: Convert latitude to DMS", + " Degrees = 16", + " Minutes = int((16.784160 - 16) × 60) = 47", + " Seconds = ((16.784160 - 16) × 60 - 47) × 60 = 3.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 121", + " Minutes = 32", + " Seconds = 6.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 16°47'3.0\"N, 121°32'6.1\"E", + "FINAL ANSWER: 16°47'3.0\"N, 121°32'6.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Chelmsford", + "source_format": "DMS", + "source_string": "42°35'59.3\"N, 71°22'2.2\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "42.599810, -71.367280", + "latitude": 42.59981, + "longitude": -71.36728 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 42°35'59.3\"N, 71°22'2.2\"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: 42.59981°", + "Step 4: Calculate longitude", + " Longitude: -71.36728°", + "FINAL ANSWER: 42.599810, -71.367280" + ] + }, + { + "task": "format_conversion", + "location_name": "Kerkrade", + "source_format": "DMS", + "source_string": "50°51'57.0\"N, 6°3'45.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "50.865830, 6.062500", + "latitude": 50.86583, + "longitude": 6.0625 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 50°51'57.0\"N, 6°3'45.0\"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: 50.86583°", + "Step 4: Calculate longitude", + " Longitude: 6.0625°", + "FINAL ANSWER: 50.865830, 6.062500" + ] + }, + { + "task": "format_conversion", + "location_name": "Melrose", + "source_format": "DMS", + "source_string": "40°49'28.4\"N, 73°54'37.5\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.824550, -73.910410", + "latitude": 40.82455, + "longitude": -73.91041 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°49'28.4\"N, 73°54'37.5\"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: 40.82455°", + "Step 4: Calculate longitude", + " Longitude: -73.91041°", + "FINAL ANSWER: 40.824550, -73.910410" + ] + }, + { + "task": "format_conversion", + "location_name": "Igbo-Ukwu", + "source_format": "decimal_degrees", + "source_string": "6.017980, 7.020270", + "target_format": "DMS", + "ground_truth": { + "target_string": "6°1'4.7\"N, 7°1'13.0\"E", + "latitude": 6.01798, + "longitude": 7.02027 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 6.017980, 7.020270", + " Latitude: 6.01798°", + " Longitude: 7.02027°", + "Step 2: Convert latitude to DMS", + " Degrees = 6", + " Minutes = int((6.017980 - 6) × 60) = 1", + " Seconds = ((6.017980 - 6) × 60 - 1) × 60 = 4.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 7", + " Minutes = 1", + " Seconds = 13.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 6°1'4.7\"N, 7°1'13.0\"E", + "FINAL ANSWER: 6°1'4.7\"N, 7°1'13.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Christchurch", + "source_format": "DMS", + "source_string": "43°31'60.0\"S, 172°37'60.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-43.533330, 172.633330", + "latitude": -43.53333, + "longitude": 172.63333 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 43°31'60.0\"S, 172°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: -43.53333°", + "Step 4: Calculate longitude", + " Longitude: 172.63333°", + "FINAL ANSWER: -43.533330, 172.633330" + ] + }, + { + "task": "format_conversion", + "location_name": "Romorantin-Lanthenay", + "source_format": "decimal_degrees", + "source_string": "47.366670, 1.750000", + "target_format": "DMS", + "ground_truth": { + "target_string": "47°22'0.0\"N, 1°45'0.0\"E", + "latitude": 47.36667, + "longitude": 1.75 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 47.366670, 1.750000", + " Latitude: 47.36667°", + " Longitude: 1.75°", + "Step 2: Convert latitude to DMS", + " Degrees = 47", + " Minutes = int((47.366670 - 47) × 60) = 22", + " Seconds = ((47.366670 - 47) × 60 - 22) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 1", + " Minutes = 45", + " Seconds = 0.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 47°22'0.0\"N, 1°45'0.0\"E", + "FINAL ANSWER: 47°22'0.0\"N, 1°45'0.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "San Pedro de Urabá", + "source_format": "decimal_degrees", + "source_string": "8.275150, -76.376410", + "target_format": "DMS", + "ground_truth": { + "target_string": "8°16'30.5\"N, 76°22'35.1\"W", + "latitude": 8.27515, + "longitude": -76.37641 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 8.275150, -76.376410", + " Latitude: 8.27515°", + " Longitude: -76.37641°", + "Step 2: Convert latitude to DMS", + " Degrees = 8", + " Minutes = int((8.275150 - 8) × 60) = 16", + " Seconds = ((8.275150 - 8) × 60 - 16) × 60 = 30.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 76", + " Minutes = 22", + " Seconds = 35.1", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 8°16'30.5\"N, 76°22'35.1\"W", + "FINAL ANSWER: 8°16'30.5\"N, 76°22'35.1\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Canterbury", + "source_format": "DMS", + "source_string": "51°16'44.5\"N, 1°4'47.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "51.279040, 1.079920", + "latitude": 51.27904, + "longitude": 1.07992 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 51°16'44.5\"N, 1°4'47.7\"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: 51.27904°", + "Step 4: Calculate longitude", + " Longitude: 1.07992°", + "FINAL ANSWER: 51.279040, 1.079920" + ] + }, + { + "task": "format_conversion", + "location_name": "Arcelia", + "source_format": "DMS", + "source_string": "18°19'6.5\"N, 100°16'53.3\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "18.318470, -100.281480", + "latitude": 18.31847, + "longitude": -100.28148 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 18°19'6.5\"N, 100°16'53.3\"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: 18.31847°", + "Step 4: Calculate longitude", + " Longitude: -100.28148°", + "FINAL ANSWER: 18.318470, -100.281480" + ] + }, + { + "task": "format_conversion", + "location_name": "Newton", + "source_format": "DMS", + "source_string": "42°20'13.3\"N, 71°12'33.2\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "42.337040, -71.209220", + "latitude": 42.33704, + "longitude": -71.20922 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 42°20'13.3\"N, 71°12'33.2\"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: 42.33704°", + "Step 4: Calculate longitude", + " Longitude: -71.20922°", + "FINAL ANSWER: 42.337040, -71.209220" + ] + }, + { + "task": "format_conversion", + "location_name": "New Mills", + "source_format": "decimal_degrees", + "source_string": "53.365920, -1.999860", + "target_format": "DMS", + "ground_truth": { + "target_string": "53°21'57.3\"N, 1°59'59.5\"W", + "latitude": 53.36592, + "longitude": -1.99986 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 53.365920, -1.999860", + " Latitude: 53.36592°", + " Longitude: -1.99986°", + "Step 2: Convert latitude to DMS", + " Degrees = 53", + " Minutes = int((53.365920 - 53) × 60) = 21", + " Seconds = ((53.365920 - 53) × 60 - 21) × 60 = 57.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 1", + " Minutes = 59", + " Seconds = 59.5", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 53°21'57.3\"N, 1°59'59.5\"W", + "FINAL ANSWER: 53°21'57.3\"N, 1°59'59.5\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Mulia", + "source_format": "decimal_degrees", + "source_string": "-3.714720, 137.985280", + "target_format": "DMS", + "ground_truth": { + "target_string": "3°42'53.0\"S, 137°59'7.0\"E", + "latitude": -3.71472, + "longitude": 137.98528 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -3.714720, 137.985280", + " Latitude: -3.71472°", + " Longitude: 137.98528°", + "Step 2: Convert latitude to DMS", + " Degrees = 3", + " Minutes = int((3.714720 - 3) × 60) = 42", + " Seconds = ((3.714720 - 3) × 60 - 42) × 60 = 53.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 137", + " Minutes = 59", + " Seconds = 7.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 3°42'53.0\"S, 137°59'7.0\"E", + "FINAL ANSWER: 3°42'53.0\"S, 137°59'7.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Potrerillos", + "source_format": "decimal_degrees", + "source_string": "15.230080, -87.963860", + "target_format": "DMS", + "ground_truth": { + "target_string": "15°13'48.3\"N, 87°57'49.9\"W", + "latitude": 15.23008, + "longitude": -87.96386 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 15.230080, -87.963860", + " Latitude: 15.23008°", + " Longitude: -87.96386°", + "Step 2: Convert latitude to DMS", + " Degrees = 15", + " Minutes = int((15.230080 - 15) × 60) = 13", + " Seconds = ((15.230080 - 15) × 60 - 13) × 60 = 48.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 87", + " Minutes = 57", + " Seconds = 49.9", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 15°13'48.3\"N, 87°57'49.9\"W", + "FINAL ANSWER: 15°13'48.3\"N, 87°57'49.9\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Jiangzhuang", + "source_format": "decimal_degrees", + "source_string": "34.491670, 117.397220", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°29'30.0\"N, 117°23'50.0\"E", + "latitude": 34.49167, + "longitude": 117.39722 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 34.491670, 117.397220", + " Latitude: 34.49167°", + " Longitude: 117.39722°", + "Step 2: Convert latitude to DMS", + " Degrees = 34", + " Minutes = int((34.491670 - 34) × 60) = 29", + " Seconds = ((34.491670 - 34) × 60 - 29) × 60 = 30.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 117", + " Minutes = 23", + " Seconds = 50.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 34°29'30.0\"N, 117°23'50.0\"E", + "FINAL ANSWER: 34°29'30.0\"N, 117°23'50.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Jiang’an", + "source_format": "decimal_degrees", + "source_string": "28.733350, 105.068300", + "target_format": "DMS", + "ground_truth": { + "target_string": "28°44'0.1\"N, 105°4'5.9\"E", + "latitude": 28.73335, + "longitude": 105.0683 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 28.733350, 105.068300", + " Latitude: 28.73335°", + " Longitude: 105.0683°", + "Step 2: Convert latitude to DMS", + " Degrees = 28", + " Minutes = int((28.733350 - 28) × 60) = 44", + " Seconds = ((28.733350 - 28) × 60 - 44) × 60 = 0.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 105", + " Minutes = 4", + " Seconds = 5.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 28°44'0.1\"N, 105°4'5.9\"E", + "FINAL ANSWER: 28°44'0.1\"N, 105°4'5.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Oristano", + "source_format": "DMS", + "source_string": "39°54'13.0\"N, 8°35'33.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "39.903600, 8.592570", + "latitude": 39.9036, + "longitude": 8.59257 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 39°54'13.0\"N, 8°35'33.3\"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: 39.9036°", + "Step 4: Calculate longitude", + " Longitude: 8.59257°", + "FINAL ANSWER: 39.903600, 8.592570" + ] + }, + { + "task": "format_conversion", + "location_name": "Yuanping", + "source_format": "decimal_degrees", + "source_string": "38.715280, 112.757500", + "target_format": "DMS", + "ground_truth": { + "target_string": "38°42'55.0\"N, 112°45'27.0\"E", + "latitude": 38.71528, + "longitude": 112.7575 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 38.715280, 112.757500", + " Latitude: 38.71528°", + " Longitude: 112.7575°", + "Step 2: Convert latitude to DMS", + " Degrees = 38", + " Minutes = int((38.715280 - 38) × 60) = 42", + " Seconds = ((38.715280 - 38) × 60 - 42) × 60 = 55.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 112", + " Minutes = 45", + " Seconds = 27.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 38°42'55.0\"N, 112°45'27.0\"E", + "FINAL ANSWER: 38°42'55.0\"N, 112°45'27.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Port Louis", + "source_format": "DMS", + "source_string": "20°9'43.0\"S, 57°29'56.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-20.161940, 57.498890", + "latitude": -20.16194, + "longitude": 57.49889 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 20°9'43.0\"S, 57°29'56.0\"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: -20.16194°", + "Step 4: Calculate longitude", + " Longitude: 57.49889°", + "FINAL ANSWER: -20.161940, 57.498890" + ] + }, + { + "task": "format_conversion", + "location_name": "Wilton", + "source_format": "decimal_degrees", + "source_string": "41.195370, -73.437900", + "target_format": "DMS", + "ground_truth": { + "target_string": "41°11'43.3\"N, 73°26'16.4\"W", + "latitude": 41.19537, + "longitude": -73.4379 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 41.195370, -73.437900", + " Latitude: 41.19537°", + " Longitude: -73.4379°", + "Step 2: Convert latitude to DMS", + " Degrees = 41", + " Minutes = int((41.195370 - 41) × 60) = 11", + " Seconds = ((41.195370 - 41) × 60 - 11) × 60 = 43.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 73", + " Minutes = 26", + " Seconds = 16.4", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 41°11'43.3\"N, 73°26'16.4\"W", + "FINAL ANSWER: 41°11'43.3\"N, 73°26'16.4\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "’Aïn Deheb", + "source_format": "DMS", + "source_string": "34°50'31.8\"N, 1°32'49.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "34.842180, 1.546970", + "latitude": 34.84218, + "longitude": 1.54697 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 34°50'31.8\"N, 1°32'49.1\"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: 34.84218°", + "Step 4: Calculate longitude", + " Longitude: 1.54697°", + "FINAL ANSWER: 34.842180, 1.546970" + ] + }, + { + "task": "format_conversion", + "location_name": "Jāmner", + "source_format": "decimal_degrees", + "source_string": "20.809490, 75.777680", + "target_format": "DMS", + "ground_truth": { + "target_string": "20°48'34.2\"N, 75°46'39.6\"E", + "latitude": 20.80949, + "longitude": 75.77768 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 20.809490, 75.777680", + " Latitude: 20.80949°", + " Longitude: 75.77768°", + "Step 2: Convert latitude to DMS", + " Degrees = 20", + " Minutes = int((20.809490 - 20) × 60) = 48", + " Seconds = ((20.809490 - 20) × 60 - 48) × 60 = 34.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 75", + " Minutes = 46", + " Seconds = 39.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 20°48'34.2\"N, 75°46'39.6\"E", + "FINAL ANSWER: 20°48'34.2\"N, 75°46'39.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Urus-Martan", + "source_format": "decimal_degrees", + "source_string": "43.130530, 45.537910", + "target_format": "DMS", + "ground_truth": { + "target_string": "43°7'49.9\"N, 45°32'16.5\"E", + "latitude": 43.13053, + "longitude": 45.53791 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 43.130530, 45.537910", + " Latitude: 43.13053°", + " Longitude: 45.53791°", + "Step 2: Convert latitude to DMS", + " Degrees = 43", + " Minutes = int((43.130530 - 43) × 60) = 7", + " Seconds = ((43.130530 - 43) × 60 - 7) × 60 = 49.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 45", + " Minutes = 32", + " Seconds = 16.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 43°7'49.9\"N, 45°32'16.5\"E", + "FINAL ANSWER: 43°7'49.9\"N, 45°32'16.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Burqin", + "source_format": "DMS", + "source_string": "47°42'10.2\"N, 86°51'49.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "47.702830, 86.863750", + "latitude": 47.70283, + "longitude": 86.86375 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 47°42'10.2\"N, 86°51'49.5\"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: 47.70283°", + "Step 4: Calculate longitude", + " Longitude: 86.86375°", + "FINAL ANSWER: 47.702830, 86.863750" + ] + }, + { + "task": "format_conversion", + "location_name": "Tarbes", + "source_format": "DMS", + "source_string": "43°14'2.7\"N, 0°4'17.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "43.234070, 0.071390", + "latitude": 43.23407, + "longitude": 0.07139 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 43°14'2.7\"N, 0°4'17.0\"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: 43.23407°", + "Step 4: Calculate longitude", + " Longitude: 0.07139°", + "FINAL ANSWER: 43.234070, 0.071390" + ] + }, + { + "task": "format_conversion", + "location_name": "Bogotá", + "source_format": "decimal_degrees", + "source_string": "4.609710, -74.081750", + "target_format": "DMS", + "ground_truth": { + "target_string": "4°36'35.0\"N, 74°4'54.3\"W", + "latitude": 4.60971, + "longitude": -74.08175 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 4.609710, -74.081750", + " Latitude: 4.60971°", + " Longitude: -74.08175°", + "Step 2: Convert latitude to DMS", + " Degrees = 4", + " Minutes = int((4.609710 - 4) × 60) = 36", + " Seconds = ((4.609710 - 4) × 60 - 36) × 60 = 35.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 74", + " Minutes = 4", + " Seconds = 54.3", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 4°36'35.0\"N, 74°4'54.3\"W", + "FINAL ANSWER: 4°36'35.0\"N, 74°4'54.3\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Marianao", + "source_format": "DMS", + "source_string": "23°4'25.9\"N, 82°25'8.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "23.073850, -82.418900", + "latitude": 23.07385, + "longitude": -82.4189 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 23°4'25.9\"N, 82°25'8.0\"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: 23.07385°", + "Step 4: Calculate longitude", + " Longitude: -82.4189°", + "FINAL ANSWER: 23.073850, -82.418900" + ] + }, + { + "task": "format_conversion", + "location_name": "Wenatchee", + "source_format": "DMS", + "source_string": "47°25'24.5\"N, 120°18'37.3\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "47.423460, -120.310350", + "latitude": 47.42346, + "longitude": -120.31035 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 47°25'24.5\"N, 120°18'37.3\"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: 47.42346°", + "Step 4: Calculate longitude", + " Longitude: -120.31035°", + "FINAL ANSWER: 47.423460, -120.310350" + ] + }, + { + "task": "format_conversion", + "location_name": "Sanaur", + "source_format": "decimal_degrees", + "source_string": "30.301820, 76.457860", + "target_format": "DMS", + "ground_truth": { + "target_string": "30°18'6.6\"N, 76°27'28.3\"E", + "latitude": 30.30182, + "longitude": 76.45786 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 30.301820, 76.457860", + " Latitude: 30.30182°", + " Longitude: 76.45786°", + "Step 2: Convert latitude to DMS", + " Degrees = 30", + " Minutes = int((30.301820 - 30) × 60) = 18", + " Seconds = ((30.301820 - 30) × 60 - 18) × 60 = 6.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 76", + " Minutes = 27", + " Seconds = 28.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 30°18'6.6\"N, 76°27'28.3\"E", + "FINAL ANSWER: 30°18'6.6\"N, 76°27'28.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Maco", + "source_format": "decimal_degrees", + "source_string": "7.361940, 125.855280", + "target_format": "DMS", + "ground_truth": { + "target_string": "7°21'43.0\"N, 125°51'19.0\"E", + "latitude": 7.36194, + "longitude": 125.85528 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 7.361940, 125.855280", + " Latitude: 7.36194°", + " Longitude: 125.85528°", + "Step 2: Convert latitude to DMS", + " Degrees = 7", + " Minutes = int((7.361940 - 7) × 60) = 21", + " Seconds = ((7.361940 - 7) × 60 - 21) × 60 = 43.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 125", + " Minutes = 51", + " Seconds = 19.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 7°21'43.0\"N, 125°51'19.0\"E", + "FINAL ANSWER: 7°21'43.0\"N, 125°51'19.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Yanfolila", + "source_format": "DMS", + "source_string": "11°10'60.0\"N, 8°9'0.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "11.183330, -8.150000", + "latitude": 11.18333, + "longitude": -8.15 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 11°10'60.0\"N, 8°9'0.0\"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: 11.18333°", + "Step 4: Calculate longitude", + " Longitude: -8.15°", + "FINAL ANSWER: 11.183330, -8.150000" + ] + }, + { + "task": "format_conversion", + "location_name": "Levittown", + "source_format": "DMS", + "source_string": "18°26'59.8\"N, 66°10'53.6\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "18.449950, -66.181560", + "latitude": 18.44995, + "longitude": -66.18156 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 18°26'59.8\"N, 66°10'53.6\"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: 18.44995°", + "Step 4: Calculate longitude", + " Longitude: -66.18156°", + "FINAL ANSWER: 18.449950, -66.181560" + ] + }, + { + "task": "format_conversion", + "location_name": "el Camp de l'Arpa del Clot", + "source_format": "DMS", + "source_string": "41°24'43.3\"N, 2°10'56.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "41.412040, 2.182470", + "latitude": 41.41204, + "longitude": 2.18247 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 41°24'43.3\"N, 2°10'56.9\"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: 41.41204°", + "Step 4: Calculate longitude", + " Longitude: 2.18247°", + "FINAL ANSWER: 41.412040, 2.182470" + ] + }, + { + "task": "format_conversion", + "location_name": "Fuchū", + "source_format": "decimal_degrees", + "source_string": "35.674520, 139.482160", + "target_format": "DMS", + "ground_truth": { + "target_string": "35°40'28.3\"N, 139°28'55.8\"E", + "latitude": 35.67452, + "longitude": 139.48216 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 35.674520, 139.482160", + " Latitude: 35.67452°", + " Longitude: 139.48216°", + "Step 2: Convert latitude to DMS", + " Degrees = 35", + " Minutes = int((35.674520 - 35) × 60) = 40", + " Seconds = ((35.674520 - 35) × 60 - 40) × 60 = 28.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 139", + " Minutes = 28", + " Seconds = 55.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 35°40'28.3\"N, 139°28'55.8\"E", + "FINAL ANSWER: 35°40'28.3\"N, 139°28'55.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Nawābganj", + "source_format": "decimal_degrees", + "source_string": "26.863960, 82.141030", + "target_format": "DMS", + "ground_truth": { + "target_string": "26°51'50.3\"N, 82°8'27.7\"E", + "latitude": 26.86396, + "longitude": 82.14103 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 26.863960, 82.141030", + " Latitude: 26.86396°", + " Longitude: 82.14103°", + "Step 2: Convert latitude to DMS", + " Degrees = 26", + " Minutes = int((26.863960 - 26) × 60) = 51", + " Seconds = ((26.863960 - 26) × 60 - 51) × 60 = 50.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 82", + " Minutes = 8", + " Seconds = 27.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 26°51'50.3\"N, 82°8'27.7\"E", + "FINAL ANSWER: 26°51'50.3\"N, 82°8'27.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Ādīs ‘Alem", + "source_format": "DMS", + "source_string": "9°1'60.0\"N, 38°23'60.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "9.033330, 38.400000", + "latitude": 9.03333, + "longitude": 38.4 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 9°1'60.0\"N, 38°23'60.0\"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: 9.03333°", + "Step 4: Calculate longitude", + " Longitude: 38.4°", + "FINAL ANSWER: 9.033330, 38.400000" + ] + }, + { + "task": "format_conversion", + "location_name": "Lend", + "source_format": "DMS", + "source_string": "47°4'57.2\"N, 15°24'57.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "47.082560, 15.415890", + "latitude": 47.08256, + "longitude": 15.41589 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 47°4'57.2\"N, 15°24'57.2\"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: 47.08256°", + "Step 4: Calculate longitude", + " Longitude: 15.41589°", + "FINAL ANSWER: 47.082560, 15.415890" + ] + }, + { + "task": "format_conversion", + "location_name": "Dahuangshan", + "source_format": "DMS", + "source_string": "34°17'36.3\"N, 117°20'39.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "34.293410, 117.344360", + "latitude": 34.29341, + "longitude": 117.34436 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 34°17'36.3\"N, 117°20'39.7\"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: 34.29341°", + "Step 4: Calculate longitude", + " Longitude: 117.34436°", + "FINAL ANSWER: 34.293410, 117.344360" + ] + }, + { + "task": "format_conversion", + "location_name": "Bukit Tengah", + "source_format": "decimal_degrees", + "source_string": "5.346050, 100.439170", + "target_format": "DMS", + "ground_truth": { + "target_string": "5°20'45.8\"N, 100°26'21.0\"E", + "latitude": 5.34605, + "longitude": 100.43917 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 5.346050, 100.439170", + " Latitude: 5.34605°", + " Longitude: 100.43917°", + "Step 2: Convert latitude to DMS", + " Degrees = 5", + " Minutes = int((5.346050 - 5) × 60) = 20", + " Seconds = ((5.346050 - 5) × 60 - 20) × 60 = 45.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 100", + " Minutes = 26", + " Seconds = 21.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 5°20'45.8\"N, 100°26'21.0\"E", + "FINAL ANSWER: 5°20'45.8\"N, 100°26'21.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kanaker-Zeytun", + "source_format": "DMS", + "source_string": "40°13'12.0\"N, 44°32'18.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.220000, 44.538330", + "latitude": 40.22, + "longitude": 44.53833 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°13'12.0\"N, 44°32'18.0\"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: 40.22°", + "Step 4: Calculate longitude", + " Longitude: 44.53833°", + "FINAL ANSWER: 40.220000, 44.538330" + ] + }, + { + "task": "format_conversion", + "location_name": "Udangudi", + "source_format": "decimal_degrees", + "source_string": "8.429180, 78.029680", + "target_format": "DMS", + "ground_truth": { + "target_string": "8°25'45.0\"N, 78°1'46.8\"E", + "latitude": 8.42918, + "longitude": 78.02968 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 8.429180, 78.029680", + " Latitude: 8.42918°", + " Longitude: 78.02968°", + "Step 2: Convert latitude to DMS", + " Degrees = 8", + " Minutes = int((8.429180 - 8) × 60) = 25", + " Seconds = ((8.429180 - 8) × 60 - 25) × 60 = 45.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 78", + " Minutes = 1", + " Seconds = 46.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 8°25'45.0\"N, 78°1'46.8\"E", + "FINAL ANSWER: 8°25'45.0\"N, 78°1'46.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Nakatsugawa", + "source_format": "decimal_degrees", + "source_string": "35.483330, 137.500000", + "target_format": "DMS", + "ground_truth": { + "target_string": "35°28'60.0\"N, 137°30'0.0\"E", + "latitude": 35.48333, + "longitude": 137.5 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 35.483330, 137.500000", + " Latitude: 35.48333°", + " Longitude: 137.5°", + "Step 2: Convert latitude to DMS", + " Degrees = 35", + " Minutes = int((35.483330 - 35) × 60) = 28", + " Seconds = ((35.483330 - 35) × 60 - 28) × 60 = 60.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 137", + " Minutes = 30", + " Seconds = 0.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 35°28'60.0\"N, 137°30'0.0\"E", + "FINAL ANSWER: 35°28'60.0\"N, 137°30'0.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Ban Khlong Bang Ramat", + "source_format": "DD", + "source_string": "13.766670, 100.433330", + "target_format": "DMS", + "ground_truth": { + "target_string": "13°46'0.0\"N, 100°25'60.0\"E", + "latitude": 13.76667, + "longitude": 100.43333 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: 13.766670, 100.433330", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 13°46'0.0\"N, 100°25'60.0\"E", + "FINAL ANSWER: 13°46'0.0\"N, 100°25'60.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Bang Kruai", + "source_format": "decimal_degrees", + "source_string": "13.805000, 100.472830", + "target_format": "DMS", + "ground_truth": { + "target_string": "13°48'18.0\"N, 100°28'22.2\"E", + "latitude": 13.805, + "longitude": 100.47283 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 13.805000, 100.472830", + " Latitude: 13.805°", + " Longitude: 100.47283°", + "Step 2: Convert latitude to DMS", + " Degrees = 13", + " Minutes = int((13.805000 - 13) × 60) = 48", + " Seconds = ((13.805000 - 13) × 60 - 48) × 60 = 18.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 100", + " Minutes = 28", + " Seconds = 22.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 13°48'18.0\"N, 100°28'22.2\"E", + "FINAL ANSWER: 13°48'18.0\"N, 100°28'22.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Potim", + "source_format": "decimal_degrees", + "source_string": "-22.842780, -45.251390", + "target_format": "DMS", + "ground_truth": { + "target_string": "22°50'34.0\"S, 45°15'5.0\"W", + "latitude": -22.84278, + "longitude": -45.25139 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -22.842780, -45.251390", + " Latitude: -22.84278°", + " Longitude: -45.25139°", + "Step 2: Convert latitude to DMS", + " Degrees = 22", + " Minutes = int((22.842780 - 22) × 60) = 50", + " Seconds = ((22.842780 - 22) × 60 - 50) × 60 = 34.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 45", + " Minutes = 15", + " Seconds = 5.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 22°50'34.0\"S, 45°15'5.0\"W", + "FINAL ANSWER: 22°50'34.0\"S, 45°15'5.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Xiazhen", + "source_format": "DMS", + "source_string": "34°48'8.0\"N, 117°6'42.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "34.802220, 117.111670", + "latitude": 34.80222, + "longitude": 117.11167 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 34°48'8.0\"N, 117°6'42.0\"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: 34.80222°", + "Step 4: Calculate longitude", + " Longitude: 117.11167°", + "FINAL ANSWER: 34.802220, 117.111670" + ] + }, + { + "task": "format_conversion", + "location_name": "Ikedachō", + "source_format": "DD", + "source_string": "34.028490, 133.806160", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°1'42.6\"N, 133°48'22.2\"E", + "latitude": 34.02849, + "longitude": 133.80616 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: 34.028490, 133.806160", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 34°1'42.6\"N, 133°48'22.2\"E", + "FINAL ANSWER: 34°1'42.6\"N, 133°48'22.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Āmta", + "source_format": "decimal_degrees", + "source_string": "22.583440, 88.010390", + "target_format": "DMS", + "ground_truth": { + "target_string": "22°35'0.4\"N, 88°0'37.4\"E", + "latitude": 22.58344, + "longitude": 88.01039 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 22.583440, 88.010390", + " Latitude: 22.58344°", + " Longitude: 88.01039°", + "Step 2: Convert latitude to DMS", + " Degrees = 22", + " Minutes = int((22.583440 - 22) × 60) = 35", + " Seconds = ((22.583440 - 22) × 60 - 35) × 60 = 0.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 88", + " Minutes = 0", + " Seconds = 37.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 22°35'0.4\"N, 88°0'37.4\"E", + "FINAL ANSWER: 22°35'0.4\"N, 88°0'37.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Grantham", + "source_format": "decimal_degrees", + "source_string": "52.911490, -0.641840", + "target_format": "DMS", + "ground_truth": { + "target_string": "52°54'41.4\"N, 0°38'30.6\"W", + "latitude": 52.91149, + "longitude": -0.64184 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 52.911490, -0.641840", + " Latitude: 52.91149°", + " Longitude: -0.64184°", + "Step 2: Convert latitude to DMS", + " Degrees = 52", + " Minutes = int((52.911490 - 52) × 60) = 54", + " Seconds = ((52.911490 - 52) × 60 - 54) × 60 = 41.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 0", + " Minutes = 38", + " Seconds = 30.6", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 52°54'41.4\"N, 0°38'30.6\"W", + "FINAL ANSWER: 52°54'41.4\"N, 0°38'30.6\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Perungudi", + "source_format": "decimal_degrees", + "source_string": "12.960950, 80.240940", + "target_format": "DMS", + "ground_truth": { + "target_string": "12°57'39.4\"N, 80°14'27.4\"E", + "latitude": 12.96095, + "longitude": 80.24094 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 12.960950, 80.240940", + " Latitude: 12.96095°", + " Longitude: 80.24094°", + "Step 2: Convert latitude to DMS", + " Degrees = 12", + " Minutes = int((12.960950 - 12) × 60) = 57", + " Seconds = ((12.960950 - 12) × 60 - 57) × 60 = 39.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 80", + " Minutes = 14", + " Seconds = 27.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 12°57'39.4\"N, 80°14'27.4\"E", + "FINAL ANSWER: 12°57'39.4\"N, 80°14'27.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Baao", + "source_format": "decimal_degrees", + "source_string": "13.454900, 123.365300", + "target_format": "DMS", + "ground_truth": { + "target_string": "13°27'17.6\"N, 123°21'55.1\"E", + "latitude": 13.4549, + "longitude": 123.3653 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 13.454900, 123.365300", + " Latitude: 13.4549°", + " Longitude: 123.3653°", + "Step 2: Convert latitude to DMS", + " Degrees = 13", + " Minutes = int((13.454900 - 13) × 60) = 27", + " Seconds = ((13.454900 - 13) × 60 - 27) × 60 = 17.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 123", + " Minutes = 21", + " Seconds = 55.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 13°27'17.6\"N, 123°21'55.1\"E", + "FINAL ANSWER: 13°27'17.6\"N, 123°21'55.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Šaľa", + "source_format": "DMS", + "source_string": "48°9'4.6\"N, 17°52'50.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "48.151270, 17.880620", + "latitude": 48.15127, + "longitude": 17.88062 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 48°9'4.6\"N, 17°52'50.2\"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: 48.15127°", + "Step 4: Calculate longitude", + " Longitude: 17.88062°", + "FINAL ANSWER: 48.151270, 17.880620" + ] + }, + { + "task": "format_conversion", + "location_name": "Pentecoste", + "source_format": "DMS", + "source_string": "3°47'34.0\"S, 39°16'13.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-3.792780, -39.270280", + "latitude": -3.79278, + "longitude": -39.27028 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 3°47'34.0\"S, 39°16'13.0\"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: -3.79278°", + "Step 4: Calculate longitude", + " Longitude: -39.27028°", + "FINAL ANSWER: -3.792780, -39.270280" + ] + }, + { + "task": "format_conversion", + "location_name": "Kaspiysk", + "source_format": "DMS", + "source_string": "42°52'53.9\"N, 47°38'21.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "42.881650, 47.639190", + "latitude": 42.88165, + "longitude": 47.63919 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 42°52'53.9\"N, 47°38'21.1\"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: 42.88165°", + "Step 4: Calculate longitude", + " Longitude: 47.63919°", + "FINAL ANSWER: 42.881650, 47.639190" + ] + }, + { + "task": "format_conversion", + "location_name": "Apac", + "source_format": "decimal_degrees", + "source_string": "1.975560, 32.538610", + "target_format": "DMS", + "ground_truth": { + "target_string": "1°58'32.0\"N, 32°32'19.0\"E", + "latitude": 1.97556, + "longitude": 32.53861 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 1.975560, 32.538610", + " Latitude: 1.97556°", + " Longitude: 32.53861°", + "Step 2: Convert latitude to DMS", + " Degrees = 1", + " Minutes = int((1.975560 - 1) × 60) = 58", + " Seconds = ((1.975560 - 1) × 60 - 58) × 60 = 32.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 32", + " Minutes = 32", + " Seconds = 19.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 1°58'32.0\"N, 32°32'19.0\"E", + "FINAL ANSWER: 1°58'32.0\"N, 32°32'19.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Myślenice", + "source_format": "decimal_degrees", + "source_string": "49.833830, 19.938300", + "target_format": "DMS", + "ground_truth": { + "target_string": "49°50'1.8\"N, 19°56'17.9\"E", + "latitude": 49.83383, + "longitude": 19.9383 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 49.833830, 19.938300", + " Latitude: 49.83383°", + " Longitude: 19.9383°", + "Step 2: Convert latitude to DMS", + " Degrees = 49", + " Minutes = int((49.833830 - 49) × 60) = 50", + " Seconds = ((49.833830 - 49) × 60 - 50) × 60 = 1.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 19", + " Minutes = 56", + " Seconds = 17.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 49°50'1.8\"N, 19°56'17.9\"E", + "FINAL ANSWER: 49°50'1.8\"N, 19°56'17.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Tongren", + "source_format": "decimal_degrees", + "source_string": "27.717220, 109.185280", + "target_format": "DMS", + "ground_truth": { + "target_string": "27°43'2.0\"N, 109°11'7.0\"E", + "latitude": 27.71722, + "longitude": 109.18528 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 27.717220, 109.185280", + " Latitude: 27.71722°", + " Longitude: 109.18528°", + "Step 2: Convert latitude to DMS", + " Degrees = 27", + " Minutes = int((27.717220 - 27) × 60) = 43", + " Seconds = ((27.717220 - 27) × 60 - 43) × 60 = 2.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 109", + " Minutes = 11", + " Seconds = 7.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 27°43'2.0\"N, 109°11'7.0\"E", + "FINAL ANSWER: 27°43'2.0\"N, 109°11'7.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "San Cristóbal Verapaz", + "source_format": "decimal_degrees", + "source_string": "15.366630, -90.478250", + "target_format": "DMS", + "ground_truth": { + "target_string": "15°21'59.9\"N, 90°28'41.7\"W", + "latitude": 15.36663, + "longitude": -90.47825 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 15.366630, -90.478250", + " Latitude: 15.36663°", + " Longitude: -90.47825°", + "Step 2: Convert latitude to DMS", + " Degrees = 15", + " Minutes = int((15.366630 - 15) × 60) = 21", + " Seconds = ((15.366630 - 15) × 60 - 21) × 60 = 59.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 90", + " Minutes = 28", + " Seconds = 41.7", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 15°21'59.9\"N, 90°28'41.7\"W", + "FINAL ANSWER: 15°21'59.9\"N, 90°28'41.7\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Hrodna", + "source_format": "decimal_degrees", + "source_string": "53.675800, 23.828870", + "target_format": "DMS", + "ground_truth": { + "target_string": "53°40'32.9\"N, 23°49'43.9\"E", + "latitude": 53.6758, + "longitude": 23.82887 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 53.675800, 23.828870", + " Latitude: 53.6758°", + " Longitude: 23.82887°", + "Step 2: Convert latitude to DMS", + " Degrees = 53", + " Minutes = int((53.675800 - 53) × 60) = 40", + " Seconds = ((53.675800 - 53) × 60 - 40) × 60 = 32.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 23", + " Minutes = 49", + " Seconds = 43.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 53°40'32.9\"N, 23°49'43.9\"E", + "FINAL ANSWER: 53°40'32.9\"N, 23°49'43.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Achalpur", + "source_format": "decimal_degrees", + "source_string": "21.256650, 77.510060", + "target_format": "DMS", + "ground_truth": { + "target_string": "21°15'23.9\"N, 77°30'36.2\"E", + "latitude": 21.25665, + "longitude": 77.51006 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 21.256650, 77.510060", + " Latitude: 21.25665°", + " Longitude: 77.51006°", + "Step 2: Convert latitude to DMS", + " Degrees = 21", + " Minutes = int((21.256650 - 21) × 60) = 15", + " Seconds = ((21.256650 - 21) × 60 - 15) × 60 = 23.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 77", + " Minutes = 30", + " Seconds = 36.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 21°15'23.9\"N, 77°30'36.2\"E", + "FINAL ANSWER: 21°15'23.9\"N, 77°30'36.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Vorob’yovo", + "source_format": "decimal_degrees", + "source_string": "55.716670, 37.533330", + "target_format": "DMS", + "ground_truth": { + "target_string": "55°43'0.0\"N, 37°31'60.0\"E", + "latitude": 55.71667, + "longitude": 37.53333 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 55.716670, 37.533330", + " Latitude: 55.71667°", + " Longitude: 37.53333°", + "Step 2: Convert latitude to DMS", + " Degrees = 55", + " Minutes = int((55.716670 - 55) × 60) = 43", + " Seconds = ((55.716670 - 55) × 60 - 43) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 37", + " Minutes = 31", + " Seconds = 60.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 55°43'0.0\"N, 37°31'60.0\"E", + "FINAL ANSWER: 55°43'0.0\"N, 37°31'60.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Huauchinango", + "source_format": "DMS", + "source_string": "20°10'25.5\"N, 98°3'17.7\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "20.173760, -98.054910", + "latitude": 20.17376, + "longitude": -98.05491 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 20°10'25.5\"N, 98°3'17.7\"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: 20.17376°", + "Step 4: Calculate longitude", + " Longitude: -98.05491°", + "FINAL ANSWER: 20.173760, -98.054910" + ] + }, + { + "task": "format_conversion", + "location_name": "Seonghwan", + "source_format": "DMS", + "source_string": "36°54'56.0\"N, 127°7'53.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "36.915560, 127.131390", + "latitude": 36.91556, + "longitude": 127.13139 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 36°54'56.0\"N, 127°7'53.0\"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: 36.91556°", + "Step 4: Calculate longitude", + " Longitude: 127.13139°", + "FINAL ANSWER: 36.915560, 127.131390" + ] + }, + { + "task": "format_conversion", + "location_name": "Henderson", + "source_format": "DMS", + "source_string": "36°2'22.9\"N, 114°58'55.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "36.039700, -114.981940", + "latitude": 36.0397, + "longitude": -114.98194 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 36°2'22.9\"N, 114°58'55.0\"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: 36.0397°", + "Step 4: Calculate longitude", + " Longitude: -114.98194°", + "FINAL ANSWER: 36.039700, -114.981940" + ] + }, + { + "task": "format_conversion", + "location_name": "Ta Khmau", + "source_format": "decimal_degrees", + "source_string": "11.483330, 104.950000", + "target_format": "DMS", + "ground_truth": { + "target_string": "11°28'60.0\"N, 104°57'0.0\"E", + "latitude": 11.48333, + "longitude": 104.95 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 11.483330, 104.950000", + " Latitude: 11.48333°", + " Longitude: 104.95°", + "Step 2: Convert latitude to DMS", + " Degrees = 11", + " Minutes = int((11.483330 - 11) × 60) = 28", + " Seconds = ((11.483330 - 11) × 60 - 28) × 60 = 60.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 104", + " Minutes = 57", + " Seconds = 0.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 11°28'60.0\"N, 104°57'0.0\"E", + "FINAL ANSWER: 11°28'60.0\"N, 104°57'0.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kudāl", + "source_format": "DMS", + "source_string": "16°0'41.3\"N, 73°41'19.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "16.011480, 73.688670", + "latitude": 16.01148, + "longitude": 73.68867 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 16°0'41.3\"N, 73°41'19.2\"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: 16.01148°", + "Step 4: Calculate longitude", + " Longitude: 73.68867°", + "FINAL ANSWER: 16.011480, 73.688670" + ] + }, + { + "task": "format_conversion", + "location_name": "Viby", + "source_format": "decimal_degrees", + "source_string": "56.122590, 10.151450", + "target_format": "DMS", + "ground_truth": { + "target_string": "56°7'21.3\"N, 10°9'5.2\"E", + "latitude": 56.12259, + "longitude": 10.15145 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 56.122590, 10.151450", + " Latitude: 56.12259°", + " Longitude: 10.15145°", + "Step 2: Convert latitude to DMS", + " Degrees = 56", + " Minutes = int((56.122590 - 56) × 60) = 7", + " Seconds = ((56.122590 - 56) × 60 - 7) × 60 = 21.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 10", + " Minutes = 9", + " Seconds = 5.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 56°7'21.3\"N, 10°9'5.2\"E", + "FINAL ANSWER: 56°7'21.3\"N, 10°9'5.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "North Port", + "source_format": "decimal_degrees", + "source_string": "27.044220, -82.235930", + "target_format": "DMS", + "ground_truth": { + "target_string": "27°2'39.2\"N, 82°14'9.3\"W", + "latitude": 27.04422, + "longitude": -82.23593 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 27.044220, -82.235930", + " Latitude: 27.04422°", + " Longitude: -82.23593°", + "Step 2: Convert latitude to DMS", + " Degrees = 27", + " Minutes = int((27.044220 - 27) × 60) = 2", + " Seconds = ((27.044220 - 27) × 60 - 2) × 60 = 39.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 82", + " Minutes = 14", + " Seconds = 9.3", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 27°2'39.2\"N, 82°14'9.3\"W", + "FINAL ANSWER: 27°2'39.2\"N, 82°14'9.3\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "East Village", + "source_format": "decimal_degrees", + "source_string": "40.729270, -73.987360", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°43'45.4\"N, 73°59'14.5\"W", + "latitude": 40.72927, + "longitude": -73.98736 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.729270, -73.987360", + " Latitude: 40.72927°", + " Longitude: -73.98736°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.729270 - 40) × 60) = 43", + " Seconds = ((40.729270 - 40) × 60 - 43) × 60 = 45.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 73", + " Minutes = 59", + " Seconds = 14.5", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 40°43'45.4\"N, 73°59'14.5\"W", + "FINAL ANSWER: 40°43'45.4\"N, 73°59'14.5\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Khlong Toei", + "source_format": "decimal_degrees", + "source_string": "13.716690, 100.571590", + "target_format": "DMS", + "ground_truth": { + "target_string": "13°43'0.1\"N, 100°34'17.7\"E", + "latitude": 13.71669, + "longitude": 100.57159 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 13.716690, 100.571590", + " Latitude: 13.71669°", + " Longitude: 100.57159°", + "Step 2: Convert latitude to DMS", + " Degrees = 13", + " Minutes = int((13.716690 - 13) × 60) = 43", + " Seconds = ((13.716690 - 13) × 60 - 43) × 60 = 0.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 100", + " Minutes = 34", + " Seconds = 17.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 13°43'0.1\"N, 100°34'17.7\"E", + "FINAL ANSWER: 13°43'0.1\"N, 100°34'17.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Leawood", + "source_format": "decimal_degrees", + "source_string": "38.966670, -94.616900", + "target_format": "DMS", + "ground_truth": { + "target_string": "38°58'0.0\"N, 94°37'0.8\"W", + "latitude": 38.96667, + "longitude": -94.6169 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 38.966670, -94.616900", + " Latitude: 38.96667°", + " Longitude: -94.6169°", + "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 = 94", + " Minutes = 37", + " Seconds = 0.8", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 38°58'0.0\"N, 94°37'0.8\"W", + "FINAL ANSWER: 38°58'0.0\"N, 94°37'0.8\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Bayan Nur", + "source_format": "decimal_degrees", + "source_string": "40.741430, 107.385990", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°44'29.1\"N, 107°23'9.6\"E", + "latitude": 40.74143, + "longitude": 107.38599 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.741430, 107.385990", + " Latitude: 40.74143°", + " Longitude: 107.38599°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.741430 - 40) × 60) = 44", + " Seconds = ((40.741430 - 40) × 60 - 44) × 60 = 29.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 107", + " Minutes = 23", + " Seconds = 9.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 40°44'29.1\"N, 107°23'9.6\"E", + "FINAL ANSWER: 40°44'29.1\"N, 107°23'9.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Oeiras", + "source_format": "DMS", + "source_string": "38°41'27.8\"N, 9°18'39.1\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "38.691050, -9.310850", + "latitude": 38.69105, + "longitude": -9.31085 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 38°41'27.8\"N, 9°18'39.1\"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: 38.69105°", + "Step 4: Calculate longitude", + " Longitude: -9.31085°", + "FINAL ANSWER: 38.691050, -9.310850" + ] + }, + { + "task": "format_conversion", + "location_name": "Martorell", + "source_format": "DMS", + "source_string": "41°28'26.5\"N, 1°55'50.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "41.474020, 1.930620", + "latitude": 41.47402, + "longitude": 1.93062 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 41°28'26.5\"N, 1°55'50.2\"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: 41.47402°", + "Step 4: Calculate longitude", + " Longitude: 1.93062°", + "FINAL ANSWER: 41.474020, 1.930620" + ] + }, + { + "task": "format_conversion", + "location_name": "Arcore", + "source_format": "decimal_degrees", + "source_string": "45.626750, 9.324540", + "target_format": "DMS", + "ground_truth": { + "target_string": "45°37'36.3\"N, 9°19'28.3\"E", + "latitude": 45.62675, + "longitude": 9.32454 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 45.626750, 9.324540", + " Latitude: 45.62675°", + " Longitude: 9.32454°", + "Step 2: Convert latitude to DMS", + " Degrees = 45", + " Minutes = int((45.626750 - 45) × 60) = 37", + " Seconds = ((45.626750 - 45) × 60 - 37) × 60 = 36.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 9", + " Minutes = 19", + " Seconds = 28.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 45°37'36.3\"N, 9°19'28.3\"E", + "FINAL ANSWER: 45°37'36.3\"N, 9°19'28.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Sokolov", + "source_format": "decimal_degrees", + "source_string": "50.181300, 12.640100", + "target_format": "DMS", + "ground_truth": { + "target_string": "50°10'52.7\"N, 12°38'24.4\"E", + "latitude": 50.1813, + "longitude": 12.6401 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 50.181300, 12.640100", + " Latitude: 50.1813°", + " Longitude: 12.6401°", + "Step 2: Convert latitude to DMS", + " Degrees = 50", + " Minutes = int((50.181300 - 50) × 60) = 10", + " Seconds = ((50.181300 - 50) × 60 - 10) × 60 = 52.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 12", + " Minutes = 38", + " Seconds = 24.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 50°10'52.7\"N, 12°38'24.4\"E", + "FINAL ANSWER: 50°10'52.7\"N, 12°38'24.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Alwar", + "source_format": "decimal_degrees", + "source_string": "27.562460, 76.625000", + "target_format": "DMS", + "ground_truth": { + "target_string": "27°33'44.9\"N, 76°37'30.0\"E", + "latitude": 27.56246, + "longitude": 76.625 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 27.562460, 76.625000", + " Latitude: 27.56246°", + " Longitude: 76.625°", + "Step 2: Convert latitude to DMS", + " Degrees = 27", + " Minutes = int((27.562460 - 27) × 60) = 33", + " Seconds = ((27.562460 - 27) × 60 - 33) × 60 = 44.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 76", + " Minutes = 37", + " Seconds = 30.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 27°33'44.9\"N, 76°37'30.0\"E", + "FINAL ANSWER: 27°33'44.9\"N, 76°37'30.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Yizhuang", + "source_format": "DMS", + "source_string": "34°9'23.4\"N, 117°35'37.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "34.156510, 117.593670", + "latitude": 34.15651, + "longitude": 117.59367 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 34°9'23.4\"N, 117°35'37.2\"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: 34.15651°", + "Step 4: Calculate longitude", + " Longitude: 117.59367°", + "FINAL ANSWER: 34.156510, 117.593670" + ] + }, + { + "task": "format_conversion", + "location_name": "Gwangyang", + "source_format": "DMS", + "source_string": "34°56'29.0\"N, 127°41'44.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "34.941400, 127.695690", + "latitude": 34.9414, + "longitude": 127.69569 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 34°56'29.0\"N, 127°41'44.5\"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: 34.9414°", + "Step 4: Calculate longitude", + " Longitude: 127.69569°", + "FINAL ANSWER: 34.941400, 127.695690" + ] + }, + { + "task": "format_conversion", + "location_name": "Ālbū Kamāl", + "source_format": "DMS", + "source_string": "34°27'8.1\"N, 40°55'6.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "34.452260, 40.918540", + "latitude": 34.45226, + "longitude": 40.91854 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 34°27'8.1\"N, 40°55'6.7\"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: 34.45226°", + "Step 4: Calculate longitude", + " Longitude: 40.91854°", + "FINAL ANSWER: 34.452260, 40.918540" + ] + }, + { + "task": "format_conversion", + "location_name": "Abbotsford", + "source_format": "decimal_degrees", + "source_string": "49.057980, -122.252570", + "target_format": "DMS", + "ground_truth": { + "target_string": "49°3'28.7\"N, 122°15'9.3\"W", + "latitude": 49.05798, + "longitude": -122.25257 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 49.057980, -122.252570", + " Latitude: 49.05798°", + " Longitude: -122.25257°", + "Step 2: Convert latitude to DMS", + " Degrees = 49", + " Minutes = int((49.057980 - 49) × 60) = 3", + " Seconds = ((49.057980 - 49) × 60 - 3) × 60 = 28.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 122", + " Minutes = 15", + " Seconds = 9.3", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 49°3'28.7\"N, 122°15'9.3\"W", + "FINAL ANSWER: 49°3'28.7\"N, 122°15'9.3\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Turaif", + "source_format": "DMS", + "source_string": "31°40'21.1\"N, 38°39'49.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "31.672520, 38.663740", + "latitude": 31.67252, + "longitude": 38.66374 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 31°40'21.1\"N, 38°39'49.5\"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: 31.67252°", + "Step 4: Calculate longitude", + " Longitude: 38.66374°", + "FINAL ANSWER: 31.672520, 38.663740" + ] + }, + { + "task": "format_conversion", + "location_name": "Ponta Delgada", + "source_format": "decimal_degrees", + "source_string": "37.739520, -25.668740", + "target_format": "DMS", + "ground_truth": { + "target_string": "37°44'22.3\"N, 25°40'7.5\"W", + "latitude": 37.73952, + "longitude": -25.66874 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 37.739520, -25.668740", + " Latitude: 37.73952°", + " Longitude: -25.66874°", + "Step 2: Convert latitude to DMS", + " Degrees = 37", + " Minutes = int((37.739520 - 37) × 60) = 44", + " Seconds = ((37.739520 - 37) × 60 - 44) × 60 = 22.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 25", + " Minutes = 40", + " Seconds = 7.5", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 37°44'22.3\"N, 25°40'7.5\"W", + "FINAL ANSWER: 37°44'22.3\"N, 25°40'7.5\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "East Lake", + "source_format": "DMS", + "source_string": "28°6'39.1\"N, 82°41'41.4\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "28.110850, -82.694820", + "latitude": 28.11085, + "longitude": -82.69482 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 28°6'39.1\"N, 82°41'41.4\"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: 28.11085°", + "Step 4: Calculate longitude", + " Longitude: -82.69482°", + "FINAL ANSWER: 28.110850, -82.694820" + ] + }, + { + "task": "format_conversion", + "location_name": "Of", + "source_format": "DMS", + "source_string": "40°56'26.0\"N, 40°15'33.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.940550, 40.259180", + "latitude": 40.94055, + "longitude": 40.25918 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°56'26.0\"N, 40°15'33.0\"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: 40.94055°", + "Step 4: Calculate longitude", + " Longitude: 40.25918°", + "FINAL ANSWER: 40.940550, 40.259180" + ] + }, + { + "task": "format_conversion", + "location_name": "Syktyvkar", + "source_format": "DMS", + "source_string": "61°39'50.1\"N, 50°48'58.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "61.663930, 50.816300", + "latitude": 61.66393, + "longitude": 50.8163 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 61°39'50.1\"N, 50°48'58.7\"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: 61.66393°", + "Step 4: Calculate longitude", + " Longitude: 50.8163°", + "FINAL ANSWER: 61.663930, 50.816300" + ] + }, + { + "task": "format_conversion", + "location_name": "Jalgaon", + "source_format": "decimal_degrees", + "source_string": "21.002920, 75.566020", + "target_format": "DMS", + "ground_truth": { + "target_string": "21°0'10.5\"N, 75°33'57.7\"E", + "latitude": 21.00292, + "longitude": 75.56602 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 21.002920, 75.566020", + " Latitude: 21.00292°", + " Longitude: 75.56602°", + "Step 2: Convert latitude to DMS", + " Degrees = 21", + " Minutes = int((21.002920 - 21) × 60) = 0", + " Seconds = ((21.002920 - 21) × 60 - 0) × 60 = 10.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 75", + " Minutes = 33", + " Seconds = 57.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 21°0'10.5\"N, 75°33'57.7\"E", + "FINAL ANSWER: 21°0'10.5\"N, 75°33'57.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Gujar Khan", + "source_format": "DMS", + "source_string": "33°15'14.8\"N, 73°18'15.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "33.254110, 73.304330", + "latitude": 33.25411, + "longitude": 73.30433 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 33°15'14.8\"N, 73°18'15.6\"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: 33.25411°", + "Step 4: Calculate longitude", + " Longitude: 73.30433°", + "FINAL ANSWER: 33.254110, 73.304330" + ] + }, + { + "task": "format_conversion", + "location_name": "Baki", + "source_format": "decimal_degrees", + "source_string": "-7.612780, 110.783890", + "target_format": "DMS", + "ground_truth": { + "target_string": "7°36'46.0\"S, 110°47'2.0\"E", + "latitude": -7.61278, + "longitude": 110.78389 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -7.612780, 110.783890", + " Latitude: -7.61278°", + " Longitude: 110.78389°", + "Step 2: Convert latitude to DMS", + " Degrees = 7", + " Minutes = int((7.612780 - 7) × 60) = 36", + " Seconds = ((7.612780 - 7) × 60 - 36) × 60 = 46.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 110", + " Minutes = 47", + " Seconds = 2.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 7°36'46.0\"S, 110°47'2.0\"E", + "FINAL ANSWER: 7°36'46.0\"S, 110°47'2.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Bartoszyce", + "source_format": "decimal_degrees", + "source_string": "54.253540, 20.808190", + "target_format": "DMS", + "ground_truth": { + "target_string": "54°15'12.7\"N, 20°48'29.5\"E", + "latitude": 54.25354, + "longitude": 20.80819 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 54.253540, 20.808190", + " Latitude: 54.25354°", + " Longitude: 20.80819°", + "Step 2: Convert latitude to DMS", + " Degrees = 54", + " Minutes = int((54.253540 - 54) × 60) = 15", + " Seconds = ((54.253540 - 54) × 60 - 15) × 60 = 12.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 20", + " Minutes = 48", + " Seconds = 29.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 54°15'12.7\"N, 20°48'29.5\"E", + "FINAL ANSWER: 54°15'12.7\"N, 20°48'29.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Pýrgos", + "source_format": "decimal_degrees", + "source_string": "37.675130, 21.441020", + "target_format": "DMS", + "ground_truth": { + "target_string": "37°40'30.5\"N, 21°26'27.7\"E", + "latitude": 37.67513, + "longitude": 21.44102 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 37.675130, 21.441020", + " Latitude: 37.67513°", + " Longitude: 21.44102°", + "Step 2: Convert latitude to DMS", + " Degrees = 37", + " Minutes = int((37.675130 - 37) × 60) = 40", + " Seconds = ((37.675130 - 37) × 60 - 40) × 60 = 30.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 21", + " Minutes = 26", + " Seconds = 27.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 37°40'30.5\"N, 21°26'27.7\"E", + "FINAL ANSWER: 37°40'30.5\"N, 21°26'27.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Māndalgarh", + "source_format": "decimal_degrees", + "source_string": "25.194070, 75.072150", + "target_format": "DMS", + "ground_truth": { + "target_string": "25°11'38.7\"N, 75°4'19.7\"E", + "latitude": 25.19407, + "longitude": 75.07215 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 25.194070, 75.072150", + " Latitude: 25.19407°", + " Longitude: 75.07215°", + "Step 2: Convert latitude to DMS", + " Degrees = 25", + " Minutes = int((25.194070 - 25) × 60) = 11", + " Seconds = ((25.194070 - 25) × 60 - 11) × 60 = 38.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 75", + " Minutes = 4", + " Seconds = 19.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 25°11'38.7\"N, 75°4'19.7\"E", + "FINAL ANSWER: 25°11'38.7\"N, 75°4'19.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Cancún", + "source_format": "decimal_degrees", + "source_string": "21.174290, -86.846560", + "target_format": "DMS", + "ground_truth": { + "target_string": "21°10'27.4\"N, 86°50'47.6\"W", + "latitude": 21.17429, + "longitude": -86.84656 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 21.174290, -86.846560", + " Latitude: 21.17429°", + " Longitude: -86.84656°", + "Step 2: Convert latitude to DMS", + " Degrees = 21", + " Minutes = int((21.174290 - 21) × 60) = 10", + " Seconds = ((21.174290 - 21) × 60 - 10) × 60 = 27.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 86", + " Minutes = 50", + " Seconds = 47.6", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 21°10'27.4\"N, 86°50'47.6\"W", + "FINAL ANSWER: 21°10'27.4\"N, 86°50'47.6\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Viswanatham", + "source_format": "decimal_degrees", + "source_string": "9.429520, 77.800320", + "target_format": "DMS", + "ground_truth": { + "target_string": "9°25'46.3\"N, 77°48'1.2\"E", + "latitude": 9.42952, + "longitude": 77.80032 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 9.429520, 77.800320", + " Latitude: 9.42952°", + " Longitude: 77.80032°", + "Step 2: Convert latitude to DMS", + " Degrees = 9", + " Minutes = int((9.429520 - 9) × 60) = 25", + " Seconds = ((9.429520 - 9) × 60 - 25) × 60 = 46.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 77", + " Minutes = 48", + " Seconds = 1.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 9°25'46.3\"N, 77°48'1.2\"E", + "FINAL ANSWER: 9°25'46.3\"N, 77°48'1.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Akçakoca", + "source_format": "decimal_degrees", + "source_string": "41.089350, 31.123620", + "target_format": "DMS", + "ground_truth": { + "target_string": "41°5'21.7\"N, 31°7'25.0\"E", + "latitude": 41.08935, + "longitude": 31.12362 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 41.089350, 31.123620", + " Latitude: 41.08935°", + " Longitude: 31.12362°", + "Step 2: Convert latitude to DMS", + " Degrees = 41", + " Minutes = int((41.089350 - 41) × 60) = 5", + " Seconds = ((41.089350 - 41) × 60 - 5) × 60 = 21.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 31", + " Minutes = 7", + " Seconds = 25.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 41°5'21.7\"N, 31°7'25.0\"E", + "FINAL ANSWER: 41°5'21.7\"N, 31°7'25.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Orange", + "source_format": "DMS", + "source_string": "44°8'17.0\"N, 4°48'36.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "44.138060, 4.810250", + "latitude": 44.13806, + "longitude": 4.81025 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 44°8'17.0\"N, 4°48'36.9\"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: 44.13806°", + "Step 4: Calculate longitude", + " Longitude: 4.81025°", + "FINAL ANSWER: 44.138060, 4.810250" + ] + }, + { + "task": "format_conversion", + "location_name": "‘Ar‘ara BaNegev", + "source_format": "decimal_degrees", + "source_string": "31.160460, 35.022740", + "target_format": "DMS", + "ground_truth": { + "target_string": "31°9'37.7\"N, 35°1'21.9\"E", + "latitude": 31.16046, + "longitude": 35.02274 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 31.160460, 35.022740", + " Latitude: 31.16046°", + " Longitude: 35.02274°", + "Step 2: Convert latitude to DMS", + " Degrees = 31", + " Minutes = int((31.160460 - 31) × 60) = 9", + " Seconds = ((31.160460 - 31) × 60 - 9) × 60 = 37.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 35", + " Minutes = 1", + " Seconds = 21.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 31°9'37.7\"N, 35°1'21.9\"E", + "FINAL ANSWER: 31°9'37.7\"N, 35°1'21.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Emporia", + "source_format": "DMS", + "source_string": "38°24'14.0\"N, 96°10'54.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "38.403900, -96.181660", + "latitude": 38.4039, + "longitude": -96.18166 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 38°24'14.0\"N, 96°10'54.0\"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: 38.4039°", + "Step 4: Calculate longitude", + " Longitude: -96.18166°", + "FINAL ANSWER: 38.403900, -96.181660" + ] + }, + { + "task": "format_conversion", + "location_name": "Oberschöneweide", + "source_format": "DMS", + "source_string": "52°27'39.8\"N, 13°31'15.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "52.461060, 13.521080", + "latitude": 52.46106, + "longitude": 13.52108 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 52°27'39.8\"N, 13°31'15.9\"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: 52.46106°", + "Step 4: Calculate longitude", + " Longitude: 13.52108°", + "FINAL ANSWER: 52.461060, 13.521080" + ] + }, + { + "task": "format_conversion", + "location_name": "Đưc Trọng", + "source_format": "decimal_degrees", + "source_string": "11.735590, 108.373300", + "target_format": "DMS", + "ground_truth": { + "target_string": "11°44'8.1\"N, 108°22'23.9\"E", + "latitude": 11.73559, + "longitude": 108.3733 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 11.735590, 108.373300", + " Latitude: 11.73559°", + " Longitude: 108.3733°", + "Step 2: Convert latitude to DMS", + " Degrees = 11", + " Minutes = int((11.735590 - 11) × 60) = 44", + " Seconds = ((11.735590 - 11) × 60 - 44) × 60 = 8.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 108", + " Minutes = 22", + " Seconds = 23.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 11°44'8.1\"N, 108°22'23.9\"E", + "FINAL ANSWER: 11°44'8.1\"N, 108°22'23.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Yanaul", + "source_format": "decimal_degrees", + "source_string": "56.272330, 54.929640", + "target_format": "DMS", + "ground_truth": { + "target_string": "56°16'20.4\"N, 54°55'46.7\"E", + "latitude": 56.27233, + "longitude": 54.92964 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 56.272330, 54.929640", + " Latitude: 56.27233°", + " Longitude: 54.92964°", + "Step 2: Convert latitude to DMS", + " Degrees = 56", + " Minutes = int((56.272330 - 56) × 60) = 16", + " Seconds = ((56.272330 - 56) × 60 - 16) × 60 = 20.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 54", + " Minutes = 55", + " Seconds = 46.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 56°16'20.4\"N, 54°55'46.7\"E", + "FINAL ANSWER: 56°16'20.4\"N, 54°55'46.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Gose", + "source_format": "decimal_degrees", + "source_string": "34.450000, 135.733330", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°27'0.0\"N, 135°43'60.0\"E", + "latitude": 34.45, + "longitude": 135.73333 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 34.450000, 135.733330", + " Latitude: 34.45°", + " Longitude: 135.73333°", + "Step 2: Convert latitude to DMS", + " Degrees = 34", + " Minutes = int((34.450000 - 34) × 60) = 27", + " Seconds = ((34.450000 - 34) × 60 - 27) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 135", + " Minutes = 43", + " Seconds = 60.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 34°27'0.0\"N, 135°43'60.0\"E", + "FINAL ANSWER: 34°27'0.0\"N, 135°43'60.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Mislata", + "source_format": "decimal_degrees", + "source_string": "39.475230, -0.418250", + "target_format": "DMS", + "ground_truth": { + "target_string": "39°28'30.8\"N, 0°25'5.7\"W", + "latitude": 39.47523, + "longitude": -0.41825 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 39.475230, -0.418250", + " Latitude: 39.47523°", + " Longitude: -0.41825°", + "Step 2: Convert latitude to DMS", + " Degrees = 39", + " Minutes = int((39.475230 - 39) × 60) = 28", + " Seconds = ((39.475230 - 39) × 60 - 28) × 60 = 30.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 0", + " Minutes = 25", + " Seconds = 5.7", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 39°28'30.8\"N, 0°25'5.7\"W", + "FINAL ANSWER: 39°28'30.8\"N, 0°25'5.7\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Alexandra Hills", + "source_format": "DMS", + "source_string": "27°31'56.0\"S, 153°13'44.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-27.532210, 153.228890", + "latitude": -27.53221, + "longitude": 153.22889 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 27°31'56.0\"S, 153°13'44.0\"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: -27.53221°", + "Step 4: Calculate longitude", + " Longitude: 153.22889°", + "FINAL ANSWER: -27.532210, 153.228890" + ] + }, + { + "task": "format_conversion", + "location_name": "Ciudad Mante", + "source_format": "DMS", + "source_string": "22°44'34.0\"N, 98°58'18.2\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "22.742770, -98.971720", + "latitude": 22.74277, + "longitude": -98.97172 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 22°44'34.0\"N, 98°58'18.2\"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: 22.74277°", + "Step 4: Calculate longitude", + " Longitude: -98.97172°", + "FINAL ANSWER: 22.742770, -98.971720" + ] + }, + { + "task": "format_conversion", + "location_name": "Buluan", + "source_format": "DMS", + "source_string": "6°43'13.0\"N, 124°48'7.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "6.720280, 124.801940", + "latitude": 6.72028, + "longitude": 124.80194 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 6°43'13.0\"N, 124°48'7.0\"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: 6.72028°", + "Step 4: Calculate longitude", + " Longitude: 124.80194°", + "FINAL ANSWER: 6.720280, 124.801940" + ] + }, + { + "task": "format_conversion", + "location_name": "Qo‘qon", + "source_format": "decimal_degrees", + "source_string": "40.528610, 70.942500", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°31'43.0\"N, 70°56'33.0\"E", + "latitude": 40.52861, + "longitude": 70.9425 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.528610, 70.942500", + " Latitude: 40.52861°", + " Longitude: 70.9425°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.528610 - 40) × 60) = 31", + " Seconds = ((40.528610 - 40) × 60 - 31) × 60 = 43.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 70", + " Minutes = 56", + " Seconds = 33.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 40°31'43.0\"N, 70°56'33.0\"E", + "FINAL ANSWER: 40°31'43.0\"N, 70°56'33.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Elmina", + "source_format": "DMS", + "source_string": "5°5'4.9\"N, 1°21'3.3\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "5.084700, -1.350930", + "latitude": 5.0847, + "longitude": -1.35093 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 5°5'4.9\"N, 1°21'3.3\"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: 5.0847°", + "Step 4: Calculate longitude", + " Longitude: -1.35093°", + "FINAL ANSWER: 5.084700, -1.350930" + ] + }, + { + "task": "format_conversion", + "location_name": "Kronberg", + "source_format": "decimal_degrees", + "source_string": "50.181000, 8.513000", + "target_format": "DMS", + "ground_truth": { + "target_string": "50°10'51.6\"N, 8°30'46.8\"E", + "latitude": 50.181, + "longitude": 8.513 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 50.181000, 8.513000", + " Latitude: 50.181°", + " Longitude: 8.513°", + "Step 2: Convert latitude to DMS", + " Degrees = 50", + " Minutes = int((50.181000 - 50) × 60) = 10", + " Seconds = ((50.181000 - 50) × 60 - 10) × 60 = 51.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 8", + " Minutes = 30", + " Seconds = 46.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 50°10'51.6\"N, 8°30'46.8\"E", + "FINAL ANSWER: 50°10'51.6\"N, 8°30'46.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Namwala", + "source_format": "DMS", + "source_string": "15°45'1.5\"S, 26°26'18.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-15.750420, 26.438390", + "latitude": -15.75042, + "longitude": 26.43839 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 15°45'1.5\"S, 26°26'18.2\"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: -15.75042°", + "Step 4: Calculate longitude", + " Longitude: 26.43839°", + "FINAL ANSWER: -15.750420, 26.438390" + ] + }, + { + "task": "format_conversion", + "location_name": "Athiémé", + "source_format": "decimal_degrees", + "source_string": "6.580800, 1.669600", + "target_format": "DMS", + "ground_truth": { + "target_string": "6°34'50.9\"N, 1°40'10.6\"E", + "latitude": 6.5808, + "longitude": 1.6696 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 6.580800, 1.669600", + " Latitude: 6.5808°", + " Longitude: 1.6696°", + "Step 2: Convert latitude to DMS", + " Degrees = 6", + " Minutes = int((6.580800 - 6) × 60) = 34", + " Seconds = ((6.580800 - 6) × 60 - 34) × 60 = 50.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 1", + " Minutes = 40", + " Seconds = 10.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 6°34'50.9\"N, 1°40'10.6\"E", + "FINAL ANSWER: 6°34'50.9\"N, 1°40'10.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "San Juan Capistrano", + "source_format": "decimal_degrees", + "source_string": "33.501690, -117.662550", + "target_format": "DMS", + "ground_truth": { + "target_string": "33°30'6.1\"N, 117°39'45.2\"W", + "latitude": 33.50169, + "longitude": -117.66255 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 33.501690, -117.662550", + " Latitude: 33.50169°", + " Longitude: -117.66255°", + "Step 2: Convert latitude to DMS", + " Degrees = 33", + " Minutes = int((33.501690 - 33) × 60) = 30", + " Seconds = ((33.501690 - 33) × 60 - 30) × 60 = 6.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 117", + " Minutes = 39", + " Seconds = 45.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 33°30'6.1\"N, 117°39'45.2\"W", + "FINAL ANSWER: 33°30'6.1\"N, 117°39'45.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Kyosai", + "source_format": "decimal_degrees", + "source_string": "34.850280, 128.588610", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°51'1.0\"N, 128°35'19.0\"E", + "latitude": 34.85028, + "longitude": 128.58861 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 34.850280, 128.588610", + " Latitude: 34.85028°", + " Longitude: 128.58861°", + "Step 2: Convert latitude to DMS", + " Degrees = 34", + " Minutes = int((34.850280 - 34) × 60) = 51", + " Seconds = ((34.850280 - 34) × 60 - 51) × 60 = 1.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 128", + " Minutes = 35", + " Seconds = 19.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 34°51'1.0\"N, 128°35'19.0\"E", + "FINAL ANSWER: 34°51'1.0\"N, 128°35'19.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Prokuplje", + "source_format": "decimal_degrees", + "source_string": "43.234170, 21.588060", + "target_format": "DMS", + "ground_truth": { + "target_string": "43°14'3.0\"N, 21°35'17.0\"E", + "latitude": 43.23417, + "longitude": 21.58806 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 43.234170, 21.588060", + " Latitude: 43.23417°", + " Longitude: 21.58806°", + "Step 2: Convert latitude to DMS", + " Degrees = 43", + " Minutes = int((43.234170 - 43) × 60) = 14", + " Seconds = ((43.234170 - 43) × 60 - 14) × 60 = 3.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 21", + " Minutes = 35", + " Seconds = 17.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 43°14'3.0\"N, 21°35'17.0\"E", + "FINAL ANSWER: 43°14'3.0\"N, 21°35'17.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Albertslund", + "source_format": "DMS", + "source_string": "55°39'24.9\"N, 12°21'49.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "55.656910, 12.363810", + "latitude": 55.65691, + "longitude": 12.36381 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 55°39'24.9\"N, 12°21'49.7\"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: 55.65691°", + "Step 4: Calculate longitude", + " Longitude: 12.36381°", + "FINAL ANSWER: 55.656910, 12.363810" + ] + }, + { + "task": "format_conversion", + "location_name": "Hannoversch Münden", + "source_format": "decimal_degrees", + "source_string": "51.415050, 9.650460", + "target_format": "DMS", + "ground_truth": { + "target_string": "51°24'54.2\"N, 9°39'1.7\"E", + "latitude": 51.41505, + "longitude": 9.65046 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 51.415050, 9.650460", + " Latitude: 51.41505°", + " Longitude: 9.65046°", + "Step 2: Convert latitude to DMS", + " Degrees = 51", + " Minutes = int((51.415050 - 51) × 60) = 24", + " Seconds = ((51.415050 - 51) × 60 - 24) × 60 = 54.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 9", + " Minutes = 39", + " Seconds = 1.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 51°24'54.2\"N, 9°39'1.7\"E", + "FINAL ANSWER: 51°24'54.2\"N, 9°39'1.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Jamundí", + "source_format": "decimal_degrees", + "source_string": "3.260740, -76.534990", + "target_format": "DMS", + "ground_truth": { + "target_string": "3°15'38.7\"N, 76°32'6.0\"W", + "latitude": 3.26074, + "longitude": -76.53499 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 3.260740, -76.534990", + " Latitude: 3.26074°", + " Longitude: -76.53499°", + "Step 2: Convert latitude to DMS", + " Degrees = 3", + " Minutes = int((3.260740 - 3) × 60) = 15", + " Seconds = ((3.260740 - 3) × 60 - 15) × 60 = 38.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 76", + " Minutes = 32", + " Seconds = 6.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 3°15'38.7\"N, 76°32'6.0\"W", + "FINAL ANSWER: 3°15'38.7\"N, 76°32'6.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Bougouni", + "source_format": "DMS", + "source_string": "11°25'3.7\"N, 7°28'59.6\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "11.417690, -7.483230", + "latitude": 11.41769, + "longitude": -7.48323 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 11°25'3.7\"N, 7°28'59.6\"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: 11.41769°", + "Step 4: Calculate longitude", + " Longitude: -7.48323°", + "FINAL ANSWER: 11.417690, -7.483230" + ] + }, + { + "task": "format_conversion", + "location_name": "Bargi", + "source_format": "decimal_degrees", + "source_string": "22.991380, 79.875500", + "target_format": "DMS", + "ground_truth": { + "target_string": "22°59'29.0\"N, 79°52'31.8\"E", + "latitude": 22.99138, + "longitude": 79.8755 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 22.991380, 79.875500", + " Latitude: 22.99138°", + " Longitude: 79.8755°", + "Step 2: Convert latitude to DMS", + " Degrees = 22", + " Minutes = int((22.991380 - 22) × 60) = 59", + " Seconds = ((22.991380 - 22) × 60 - 59) × 60 = 29.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 79", + " Minutes = 52", + " Seconds = 31.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 22°59'29.0\"N, 79°52'31.8\"E", + "FINAL ANSWER: 22°59'29.0\"N, 79°52'31.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Lavapiés", + "source_format": "DMS", + "source_string": "40°24'28.9\"N, 3°42'4.7\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.408040, -3.701310", + "latitude": 40.40804, + "longitude": -3.70131 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°24'28.9\"N, 3°42'4.7\"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: 40.40804°", + "Step 4: Calculate longitude", + " Longitude: -3.70131°", + "FINAL ANSWER: 40.408040, -3.701310" + ] + }, + { + "task": "format_conversion", + "location_name": "Zürich", + "source_format": "DMS", + "source_string": "47°22'0.0\"N, 8°33'0.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "47.366670, 8.550000", + "latitude": 47.36667, + "longitude": 8.55 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 47°22'0.0\"N, 8°33'0.0\"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: 47.36667°", + "Step 4: Calculate longitude", + " Longitude: 8.55°", + "FINAL ANSWER: 47.366670, 8.550000" + ] + }, + { + "task": "format_conversion", + "location_name": "Holyoke", + "source_format": "DMS", + "source_string": "42°12'15.3\"N, 72°36'58.3\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "42.204260, -72.616200", + "latitude": 42.20426, + "longitude": -72.6162 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 42°12'15.3\"N, 72°36'58.3\"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: 42.20426°", + "Step 4: Calculate longitude", + " Longitude: -72.6162°", + "FINAL ANSWER: 42.204260, -72.616200" + ] + }, + { + "task": "format_conversion", + "location_name": "Sassari", + "source_format": "decimal_degrees", + "source_string": "40.725860, 8.555520", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°43'33.1\"N, 8°33'19.9\"E", + "latitude": 40.72586, + "longitude": 8.55552 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.725860, 8.555520", + " Latitude: 40.72586°", + " Longitude: 8.55552°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.725860 - 40) × 60) = 43", + " Seconds = ((40.725860 - 40) × 60 - 43) × 60 = 33.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 8", + " Minutes = 33", + " Seconds = 19.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 40°43'33.1\"N, 8°33'19.9\"E", + "FINAL ANSWER: 40°43'33.1\"N, 8°33'19.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Ungaran", + "source_format": "DMS", + "source_string": "7°8'23.0\"S, 110°24'18.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-7.139720, 110.405000", + "latitude": -7.13972, + "longitude": 110.405 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 7°8'23.0\"S, 110°24'18.0\"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: -7.13972°", + "Step 4: Calculate longitude", + " Longitude: 110.405��", + "FINAL ANSWER: -7.139720, 110.405000" + ] + }, + { + "task": "format_conversion", + "location_name": "Warrenton", + "source_format": "DMS", + "source_string": "28°6'50.3\"S, 24°50'51.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-28.113960, 24.847530", + "latitude": -28.11396, + "longitude": 24.84753 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 28°6'50.3\"S, 24°50'51.1\"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: -28.11396°", + "Step 4: Calculate longitude", + " Longitude: 24.84753°", + "FINAL ANSWER: -28.113960, 24.847530" + ] + }, + { + "task": "format_conversion", + "location_name": "Al Mizhar First", + "source_format": "decimal_degrees", + "source_string": "25.248050, 55.441280", + "target_format": "DMS", + "ground_truth": { + "target_string": "25°14'53.0\"N, 55°26'28.6\"E", + "latitude": 25.24805, + "longitude": 55.44128 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 25.248050, 55.441280", + " Latitude: 25.24805°", + " Longitude: 55.44128°", + "Step 2: Convert latitude to DMS", + " Degrees = 25", + " Minutes = int((25.248050 - 25) × 60) = 14", + " Seconds = ((25.248050 - 25) × 60 - 14) × 60 = 53.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 55", + " Minutes = 26", + " Seconds = 28.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 25°14'53.0\"N, 55°26'28.6\"E", + "FINAL ANSWER: 25°14'53.0\"N, 55°26'28.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "As Sawānī", + "source_format": "decimal_degrees", + "source_string": "32.716670, 13.066670", + "target_format": "DMS", + "ground_truth": { + "target_string": "32°43'0.0\"N, 13°4'0.0\"E", + "latitude": 32.71667, + "longitude": 13.06667 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 32.716670, 13.066670", + " Latitude: 32.71667°", + " Longitude: 13.06667°", + "Step 2: Convert latitude to DMS", + " Degrees = 32", + " Minutes = int((32.716670 - 32) × 60) = 43", + " Seconds = ((32.716670 - 32) × 60 - 43) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 13", + " Minutes = 4", + " Seconds = 0.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 32°43'0.0\"N, 13°4'0.0\"E", + "FINAL ANSWER: 32°43'0.0\"N, 13°4'0.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Ogikubo", + "source_format": "decimal_degrees", + "source_string": "35.698220, 139.623720", + "target_format": "DMS", + "ground_truth": { + "target_string": "35°41'53.6\"N, 139°37'25.4\"E", + "latitude": 35.69822, + "longitude": 139.62372 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 35.698220, 139.623720", + " Latitude: 35.69822°", + " Longitude: 139.62372°", + "Step 2: Convert latitude to DMS", + " Degrees = 35", + " Minutes = int((35.698220 - 35) × 60) = 41", + " Seconds = ((35.698220 - 35) × 60 - 41) × 60 = 53.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 139", + " Minutes = 37", + " Seconds = 25.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 35°41'53.6\"N, 139°37'25.4\"E", + "FINAL ANSWER: 35°41'53.6\"N, 139°37'25.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Korhogo", + "source_format": "decimal_degrees", + "source_string": "9.458030, -5.629610", + "target_format": "DMS", + "ground_truth": { + "target_string": "9°27'28.9\"N, 5°37'46.6\"W", + "latitude": 9.45803, + "longitude": -5.62961 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 9.458030, -5.629610", + " Latitude: 9.45803°", + " Longitude: -5.62961°", + "Step 2: Convert latitude to DMS", + " Degrees = 9", + " Minutes = int((9.458030 - 9) × 60) = 27", + " Seconds = ((9.458030 - 9) × 60 - 27) × 60 = 28.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 5", + " Minutes = 37", + " Seconds = 46.6", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 9°27'28.9\"N, 5°37'46.6\"W", + "FINAL ANSWER: 9°27'28.9\"N, 5°37'46.6\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Avocado Heights", + "source_format": "decimal_degrees", + "source_string": "34.036120, -117.991180", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°2'10.0\"N, 117°59'28.2\"W", + "latitude": 34.03612, + "longitude": -117.99118 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 34.036120, -117.991180", + " Latitude: 34.03612°", + " Longitude: -117.99118°", + "Step 2: Convert latitude to DMS", + " Degrees = 34", + " Minutes = int((34.036120 - 34) × 60) = 2", + " Seconds = ((34.036120 - 34) × 60 - 2) × 60 = 10.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 117", + " Minutes = 59", + " Seconds = 28.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 34°2'10.0\"N, 117°59'28.2\"W", + "FINAL ANSWER: 34°2'10.0\"N, 117°59'28.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Ranot", + "source_format": "decimal_degrees", + "source_string": "7.777680, 100.321340", + "target_format": "DMS", + "ground_truth": { + "target_string": "7°46'39.6\"N, 100°19'16.8\"E", + "latitude": 7.77768, + "longitude": 100.32134 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 7.777680, 100.321340", + " Latitude: 7.77768°", + " Longitude: 100.32134°", + "Step 2: Convert latitude to DMS", + " Degrees = 7", + " Minutes = int((7.777680 - 7) × 60) = 46", + " Seconds = ((7.777680 - 7) × 60 - 46) × 60 = 39.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 100", + " Minutes = 19", + " Seconds = 16.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 7°46'39.6\"N, 100°19'16.8\"E", + "FINAL ANSWER: 7°46'39.6\"N, 100°19'16.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Sabae", + "source_format": "decimal_degrees", + "source_string": "35.946470, 136.184980", + "target_format": "DMS", + "ground_truth": { + "target_string": "35°56'47.3\"N, 136°11'5.9\"E", + "latitude": 35.94647, + "longitude": 136.18498 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 35.946470, 136.184980", + " Latitude: 35.94647°", + " Longitude: 136.18498°", + "Step 2: Convert latitude to DMS", + " Degrees = 35", + " Minutes = int((35.946470 - 35) × 60) = 56", + " Seconds = ((35.946470 - 35) × 60 - 56) × 60 = 47.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 136", + " Minutes = 11", + " Seconds = 5.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 35°56'47.3\"N, 136°11'5.9\"E", + "FINAL ANSWER: 35°56'47.3\"N, 136°11'5.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kotlovka", + "source_format": "DMS", + "source_string": "55°39'33.4\"N, 37°36'14.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "55.659280, 37.604040", + "latitude": 55.65928, + "longitude": 37.60404 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 55°39'33.4\"N, 37°36'14.5\"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: 55.65928°", + "Step 4: Calculate longitude", + " Longitude: 37.60404°", + "FINAL ANSWER: 55.659280, 37.604040" + ] + }, + { + "task": "format_conversion", + "location_name": "Fasā", + "source_format": "decimal_degrees", + "source_string": "28.938300, 53.648200", + "target_format": "DMS", + "ground_truth": { + "target_string": "28°56'17.9\"N, 53°38'53.5\"E", + "latitude": 28.9383, + "longitude": 53.6482 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 28.938300, 53.648200", + " Latitude: 28.9383°", + " Longitude: 53.6482°", + "Step 2: Convert latitude to DMS", + " Degrees = 28", + " Minutes = int((28.938300 - 28) × 60) = 56", + " Seconds = ((28.938300 - 28) × 60 - 56) × 60 = 17.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 53", + " Minutes = 38", + " Seconds = 53.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 28°56'17.9\"N, 53°38'53.5\"E", + "FINAL ANSWER: 28°56'17.9\"N, 53°38'53.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Shāhpur", + "source_format": "decimal_degrees", + "source_string": "29.350100, 77.551600", + "target_format": "DMS", + "ground_truth": { + "target_string": "29°21'0.4\"N, 77°33'5.8\"E", + "latitude": 29.3501, + "longitude": 77.5516 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 29.350100, 77.551600", + " Latitude: 29.3501°", + " Longitude: 77.5516°", + "Step 2: Convert latitude to DMS", + " Degrees = 29", + " Minutes = int((29.350100 - 29) × 60) = 21", + " Seconds = ((29.350100 - 29) × 60 - 21) × 60 = 0.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 77", + " Minutes = 33", + " Seconds = 5.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 29°21'0.4\"N, 77°33'5.8\"E", + "FINAL ANSWER: 29°21'0.4\"N, 77°33'5.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Gununo", + "source_format": "DMS", + "source_string": "6°55'29.0\"N, 37°39'9.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "6.924710, 37.652630", + "latitude": 6.92471, + "longitude": 37.65263 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 6°55'29.0\"N, 37°39'9.5\"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: 6.92471°", + "Step 4: Calculate longitude", + " Longitude: 37.65263°", + "FINAL ANSWER: 6.924710, 37.652630" + ] + }, + { + "task": "format_conversion", + "location_name": "Tete", + "source_format": "DMS", + "source_string": "16°9'23.0\"S, 33°35'12.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-16.156390, 33.586670", + "latitude": -16.15639, + "longitude": 33.58667 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 16°9'23.0\"S, 33°35'12.0\"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: -16.15639°", + "Step 4: Calculate longitude", + " Longitude: 33.58667°", + "FINAL ANSWER: -16.156390, 33.586670" + ] + }, + { + "task": "format_conversion", + "location_name": "Canning", + "source_format": "DMS", + "source_string": "22°18'50.4\"N, 88°39'54.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "22.313990, 88.665080", + "latitude": 22.31399, + "longitude": 88.66508 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 22°18'50.4\"N, 88°39'54.3\"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: 22.31399°", + "Step 4: Calculate longitude", + " Longitude: 88.66508°", + "FINAL ANSWER: 22.313990, 88.665080" + ] + }, + { + "task": "format_conversion", + "location_name": "Tsuruoka", + "source_format": "decimal_degrees", + "source_string": "38.721670, 139.821670", + "target_format": "DMS", + "ground_truth": { + "target_string": "38°43'18.0\"N, 139°49'18.0\"E", + "latitude": 38.72167, + "longitude": 139.82167 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 38.721670, 139.821670", + " Latitude: 38.72167°", + " Longitude: 139.82167°", + "Step 2: Convert latitude to DMS", + " Degrees = 38", + " Minutes = int((38.721670 - 38) × 60) = 43", + " Seconds = ((38.721670 - 38) × 60 - 43) × 60 = 18.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 139", + " Minutes = 49", + " Seconds = 18.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 38°43'18.0\"N, 139°49'18.0\"E", + "FINAL ANSWER: 38°43'18.0\"N, 139°49'18.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Jiaozhou", + "source_format": "decimal_degrees", + "source_string": "36.283890, 120.003330", + "target_format": "DMS", + "ground_truth": { + "target_string": "36°17'2.0\"N, 120°0'12.0\"E", + "latitude": 36.28389, + "longitude": 120.00333 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 36.283890, 120.003330", + " Latitude: 36.28389°", + " Longitude: 120.00333°", + "Step 2: Convert latitude to DMS", + " Degrees = 36", + " Minutes = int((36.283890 - 36) × 60) = 17", + " Seconds = ((36.283890 - 36) × 60 - 17) × 60 = 2.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 120", + " Minutes = 0", + " Seconds = 12.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 36°17'2.0\"N, 120°0'12.0\"E", + "FINAL ANSWER: 36°17'2.0\"N, 120°0'12.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Cole Harbour", + "source_format": "DMS", + "source_string": "44°40'20.8\"N, 63°28'30.2\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "44.672440, -63.475060", + "latitude": 44.67244, + "longitude": -63.47506 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 44°40'20.8\"N, 63°28'30.2\"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: 44.67244°", + "Step 4: Calculate longitude", + " Longitude: -63.47506°", + "FINAL ANSWER: 44.672440, -63.475060" + ] + }, + { + "task": "format_conversion", + "location_name": "Basuo", + "source_format": "decimal_degrees", + "source_string": "19.102670, 108.665650", + "target_format": "DMS", + "ground_truth": { + "target_string": "19°6'9.6\"N, 108°39'56.3\"E", + "latitude": 19.10267, + "longitude": 108.66565 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 19.102670, 108.665650", + " Latitude: 19.10267°", + " Longitude: 108.66565°", + "Step 2: Convert latitude to DMS", + " Degrees = 19", + " Minutes = int((19.102670 - 19) × 60) = 6", + " Seconds = ((19.102670 - 19) × 60 - 6) × 60 = 9.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 108", + " Minutes = 39", + " Seconds = 56.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 19°6'9.6\"N, 108°39'56.3\"E", + "FINAL ANSWER: 19°6'9.6\"N, 108°39'56.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Vanier", + "source_format": "decimal_degrees", + "source_string": "45.439900, -75.664980", + "target_format": "DMS", + "ground_truth": { + "target_string": "45°26'23.6\"N, 75°39'53.9\"W", + "latitude": 45.4399, + "longitude": -75.66498 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 45.439900, -75.664980", + " Latitude: 45.4399°", + " Longitude: -75.66498°", + "Step 2: Convert latitude to DMS", + " Degrees = 45", + " Minutes = int((45.439900 - 45) × 60) = 26", + " Seconds = ((45.439900 - 45) × 60 - 26) × 60 = 23.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 75", + " Minutes = 39", + " Seconds = 53.9", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 45°26'23.6\"N, 75°39'53.9\"W", + "FINAL ANSWER: 45°26'23.6\"N, 75°39'53.9\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Gēdo", + "source_format": "decimal_degrees", + "source_string": "9.016670, 37.450000", + "target_format": "DMS", + "ground_truth": { + "target_string": "9°1'0.0\"N, 37°27'0.0\"E", + "latitude": 9.01667, + "longitude": 37.45 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 9.016670, 37.450000", + " Latitude: 9.01667°", + " Longitude: 37.45°", + "Step 2: Convert latitude to DMS", + " Degrees = 9", + " Minutes = int((9.016670 - 9) × 60) = 1", + " Seconds = ((9.016670 - 9) × 60 - 1) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 37", + " Minutes = 27", + " Seconds = 0.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 9°1'0.0\"N, 37°27'0.0\"E", + "FINAL ANSWER: 9°1'0.0\"N, 37°27'0.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Cava Dè Tirreni", + "source_format": "decimal_degrees", + "source_string": "40.699540, 14.707730", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°41'58.3\"N, 14°42'27.8\"E", + "latitude": 40.69954, + "longitude": 14.70773 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.699540, 14.707730", + " Latitude: 40.69954°", + " Longitude: 14.70773°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.699540 - 40) × 60) = 41", + " Seconds = ((40.699540 - 40) × 60 - 41) × 60 = 58.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 14", + " Minutes = 42", + " Seconds = 27.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 40°41'58.3\"N, 14°42'27.8\"E", + "FINAL ANSWER: 40°41'58.3\"N, 14°42'27.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Flying Fish Cove", + "source_format": "decimal_degrees", + "source_string": "-10.421720, 105.679120", + "target_format": "DMS", + "ground_truth": { + "target_string": "10°25'18.2\"S, 105°40'44.8\"E", + "latitude": -10.42172, + "longitude": 105.67912 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -10.421720, 105.679120", + " Latitude: -10.42172°", + " Longitude: 105.67912°", + "Step 2: Convert latitude to DMS", + " Degrees = 10", + " Minutes = int((10.421720 - 10) × 60) = 25", + " Seconds = ((10.421720 - 10) × 60 - 25) × 60 = 18.2", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 105", + " Minutes = 40", + " Seconds = 44.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 10°25'18.2\"S, 105°40'44.8\"E", + "FINAL ANSWER: 10°25'18.2\"S, 105°40'44.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Wednesbury", + "source_format": "DMS", + "source_string": "52°33'5.0\"N, 2°1'24.8\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "52.551400, -2.023550", + "latitude": 52.5514, + "longitude": -2.02355 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 52°33'5.0\"N, 2°1'24.8\"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: 52.5514°", + "Step 4: Calculate longitude", + " Longitude: -2.02355°", + "FINAL ANSWER: 52.551400, -2.023550" + ] + }, + { + "task": "format_conversion", + "location_name": "Gusinoozyorsk", + "source_format": "decimal_degrees", + "source_string": "51.283330, 106.500000", + "target_format": "DMS", + "ground_truth": { + "target_string": "51°16'60.0\"N, 106°30'0.0\"E", + "latitude": 51.28333, + "longitude": 106.5 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 51.283330, 106.500000", + " Latitude: 51.28333°", + " Longitude: 106.5°", + "Step 2: Convert latitude to DMS", + " Degrees = 51", + " Minutes = int((51.283330 - 51) × 60) = 16", + " Seconds = ((51.283330 - 51) × 60 - 16) × 60 = 60.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 106", + " Minutes = 30", + " Seconds = 0.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 51°16'60.0\"N, 106°30'0.0\"E", + "FINAL ANSWER: 51°16'60.0\"N, 106°30'0.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Tangará da Serra", + "source_format": "DMS", + "source_string": "14°37'10.0\"S, 57°29'9.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-14.619440, -57.485830", + "latitude": -14.61944, + "longitude": -57.48583 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 14°37'10.0\"S, 57°29'9.0\"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: -14.61944°", + "Step 4: Calculate longitude", + " Longitude: -57.48583°", + "FINAL ANSWER: -14.619440, -57.485830" + ] + }, + { + "task": "format_conversion", + "location_name": "Fremont", + "source_format": "decimal_degrees", + "source_string": "41.433330, -96.498080", + "target_format": "DMS", + "ground_truth": { + "target_string": "41°25'60.0\"N, 96°29'53.1\"W", + "latitude": 41.43333, + "longitude": -96.49808 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 41.433330, -96.498080", + " Latitude: 41.43333°", + " Longitude: -96.49808°", + "Step 2: Convert latitude to DMS", + " Degrees = 41", + " Minutes = int((41.433330 - 41) × 60) = 25", + " Seconds = ((41.433330 - 41) × 60 - 25) × 60 = 60.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 96", + " Minutes = 29", + " Seconds = 53.1", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 41°25'60.0\"N, 96°29'53.1\"W", + "FINAL ANSWER: 41°25'60.0\"N, 96°29'53.1\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Fundong", + "source_format": "decimal_degrees", + "source_string": "6.280000, 10.283000", + "target_format": "DMS", + "ground_truth": { + "target_string": "6°16'48.0\"N, 10°16'58.8\"E", + "latitude": 6.28, + "longitude": 10.283 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 6.280000, 10.283000", + " Latitude: 6.28°", + " Longitude: 10.283°", + "Step 2: Convert latitude to DMS", + " Degrees = 6", + " Minutes = int((6.280000 - 6) × 60) = 16", + " Seconds = ((6.280000 - 6) × 60 - 16) × 60 = 48.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 10", + " Minutes = 16", + " Seconds = 58.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 6°16'48.0\"N, 10°16'58.8\"E", + "FINAL ANSWER: 6°16'48.0\"N, 10°16'58.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "São Francisco de Assis", + "source_format": "decimal_degrees", + "source_string": "-29.550280, -55.131110", + "target_format": "DMS", + "ground_truth": { + "target_string": "29°33'1.0\"S, 55°7'52.0\"W", + "latitude": -29.55028, + "longitude": -55.13111 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -29.550280, -55.131110", + " Latitude: -29.55028°", + " Longitude: -55.13111°", + "Step 2: Convert latitude to DMS", + " Degrees = 29", + " Minutes = int((29.550280 - 29) × 60) = 33", + " Seconds = ((29.550280 - 29) × 60 - 33) × 60 = 1.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 55", + " Minutes = 7", + " Seconds = 52.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 29°33'1.0\"S, 55°7'52.0\"W", + "FINAL ANSWER: 29°33'1.0\"S, 55°7'52.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Esteio", + "source_format": "decimal_degrees", + "source_string": "-29.861390, -51.179170", + "target_format": "DMS", + "ground_truth": { + "target_string": "29°51'41.0\"S, 51°10'45.0\"W", + "latitude": -29.86139, + "longitude": -51.17917 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -29.861390, -51.179170", + " Latitude: -29.86139°", + " Longitude: -51.17917°", + "Step 2: Convert latitude to DMS", + " Degrees = 29", + " Minutes = int((29.861390 - 29) × 60) = 51", + " Seconds = ((29.861390 - 29) × 60 - 51) × 60 = 41.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 51", + " Minutes = 10", + " Seconds = 45.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 29°51'41.0\"S, 51°10'45.0\"W", + "FINAL ANSWER: 29°51'41.0\"S, 51°10'45.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Gowurdak", + "source_format": "decimal_degrees", + "source_string": "37.812440, 66.046560", + "target_format": "DMS", + "ground_truth": { + "target_string": "37°48'44.8\"N, 66°2'47.6\"E", + "latitude": 37.81244, + "longitude": 66.04656 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 37.812440, 66.046560", + " Latitude: 37.81244°", + " Longitude: 66.04656°", + "Step 2: Convert latitude to DMS", + " Degrees = 37", + " Minutes = int((37.812440 - 37) × 60) = 48", + " Seconds = ((37.812440 - 37) × 60 - 48) × 60 = 44.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 66", + " Minutes = 2", + " Seconds = 47.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 37°48'44.8\"N, 66°2'47.6\"E", + "FINAL ANSWER: 37°48'44.8\"N, 66°2'47.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Schweizer-Reneke", + "source_format": "decimal_degrees", + "source_string": "-27.188710, 25.329310", + "target_format": "DMS", + "ground_truth": { + "target_string": "27°11'19.4\"S, 25°19'45.5\"E", + "latitude": -27.18871, + "longitude": 25.32931 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -27.188710, 25.329310", + " Latitude: -27.18871°", + " Longitude: 25.32931°", + "Step 2: Convert latitude to DMS", + " Degrees = 27", + " Minutes = int((27.188710 - 27) × 60) = 11", + " Seconds = ((27.188710 - 27) × 60 - 11) × 60 = 19.4", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 25", + " Minutes = 19", + " Seconds = 45.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 27°11'19.4\"S, 25°19'45.5\"E", + "FINAL ANSWER: 27°11'19.4\"S, 25°19'45.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Santiago de los Caballeros", + "source_format": "decimal_degrees", + "source_string": "19.450360, -70.690850", + "target_format": "DMS", + "ground_truth": { + "target_string": "19°27'1.3\"N, 70°41'27.1\"W", + "latitude": 19.45036, + "longitude": -70.69085 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 19.450360, -70.690850", + " Latitude: 19.45036°", + " Longitude: -70.69085°", + "Step 2: Convert latitude to DMS", + " Degrees = 19", + " Minutes = int((19.450360 - 19) × 60) = 27", + " Seconds = ((19.450360 - 19) × 60 - 27) × 60 = 1.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 70", + " Minutes = 41", + " Seconds = 27.1", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 19°27'1.3\"N, 70°41'27.1\"W", + "FINAL ANSWER: 19°27'1.3\"N, 70°41'27.1\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Złotoryja", + "source_format": "DMS", + "source_string": "51°7'34.9\"N, 15°55'11.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "51.126370, 15.919790", + "latitude": 51.12637, + "longitude": 15.91979 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 51°7'34.9\"N, 15°55'11.2\"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: 51.12637°", + "Step 4: Calculate longitude", + " Longitude: 15.91979°", + "FINAL ANSWER: 51.126370, 15.919790" + ] + }, + { + "task": "format_conversion", + "location_name": "Chester", + "source_format": "DMS", + "source_string": "37°21'24.6\"N, 77°26'29.9\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "37.356820, -77.441650", + "latitude": 37.35682, + "longitude": -77.44165 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 37°21'24.6\"N, 77°26'29.9\"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: 37.35682°", + "Step 4: Calculate longitude", + " Longitude: -77.44165°", + "FINAL ANSWER: 37.356820, -77.441650" + ] + }, + { + "task": "format_conversion", + "location_name": "Putignano", + "source_format": "DMS", + "source_string": "40°51'3.8\"N, 17°7'18.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.851060, 17.121900", + "latitude": 40.85106, + "longitude": 17.1219 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°51'3.8\"N, 17°7'18.8\"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: 40.85106°", + "Step 4: Calculate longitude", + " Longitude: 17.1219°", + "FINAL ANSWER: 40.851060, 17.121900" + ] + }, + { + "task": "format_conversion", + "location_name": "Santiago", + "source_format": "decimal_degrees", + "source_string": "25.425330, -100.152050", + "target_format": "DMS", + "ground_truth": { + "target_string": "25°25'31.2\"N, 100°9'7.4\"W", + "latitude": 25.42533, + "longitude": -100.15205 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 25.425330, -100.152050", + " Latitude: 25.42533°", + " Longitude: -100.15205°", + "Step 2: Convert latitude to DMS", + " Degrees = 25", + " Minutes = int((25.425330 - 25) × 60) = 25", + " Seconds = ((25.425330 - 25) × 60 - 25) × 60 = 31.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 100", + " Minutes = 9", + " Seconds = 7.4", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 25°25'31.2\"N, 100°9'7.4\"W", + "FINAL ANSWER: 25°25'31.2\"N, 100°9'7.4\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Tōno", + "source_format": "decimal_degrees", + "source_string": "39.316670, 141.533330", + "target_format": "DMS", + "ground_truth": { + "target_string": "39°19'0.0\"N, 141°31'60.0\"E", + "latitude": 39.31667, + "longitude": 141.53333 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 39.316670, 141.533330", + " Latitude: 39.31667°", + " Longitude: 141.53333°", + "Step 2: Convert latitude to DMS", + " Degrees = 39", + " Minutes = int((39.316670 - 39) × 60) = 19", + " Seconds = ((39.316670 - 39) × 60 - 19) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 141", + " Minutes = 31", + " Seconds = 60.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 39°19'0.0\"N, 141°31'60.0\"E", + "FINAL ANSWER: 39°19'0.0\"N, 141°31'60.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Uthal", + "source_format": "DMS", + "source_string": "25°48'26.0\"N, 66°37'19.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "25.807220, 66.621940", + "latitude": 25.80722, + "longitude": 66.62194 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 25°48'26.0\"N, 66°37'19.0\"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: 25.80722°", + "Step 4: Calculate longitude", + " Longitude: 66.62194°", + "FINAL ANSWER: 25.807220, 66.621940" + ] + }, + { + "task": "format_conversion", + "location_name": "Savigny-le-Temple", + "source_format": "DMS", + "source_string": "48°34'26.7\"N, 2°34'58.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "48.574090, 2.582870", + "latitude": 48.57409, + "longitude": 2.58287 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 48°34'26.7\"N, 2°34'58.3\"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: 48.57409°", + "Step 4: Calculate longitude", + " Longitude: 2.58287°", + "FINAL ANSWER: 48.574090, 2.582870" + ] + }, + { + "task": "format_conversion", + "location_name": "Karbala", + "source_format": "decimal_degrees", + "source_string": "32.616030, 44.024880", + "target_format": "DMS", + "ground_truth": { + "target_string": "32°36'57.7\"N, 44°1'29.6\"E", + "latitude": 32.61603, + "longitude": 44.02488 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 32.616030, 44.024880", + " Latitude: 32.61603°", + " Longitude: 44.02488°", + "Step 2: Convert latitude to DMS", + " Degrees = 32", + " Minutes = int((32.616030 - 32) × 60) = 36", + " Seconds = ((32.616030 - 32) × 60 - 36) × 60 = 57.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 44", + " Minutes = 1", + " Seconds = 29.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 32°36'57.7\"N, 44°1'29.6\"E", + "FINAL ANSWER: 32°36'57.7\"N, 44°1'29.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Otrokovice", + "source_format": "DMS", + "source_string": "49°12'33.6\"N, 17°32'22.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "49.209340, 17.539440", + "latitude": 49.20934, + "longitude": 17.53944 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 49°12'33.6\"N, 17°32'22.0\"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: 49.20934°", + "Step 4: Calculate longitude", + " Longitude: 17.53944°", + "FINAL ANSWER: 49.209340, 17.539440" + ] + }, + { + "task": "format_conversion", + "location_name": "Alor Setar", + "source_format": "DMS", + "source_string": "6°7'15.7\"N, 100°21'36.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "6.121040, 100.360140", + "latitude": 6.12104, + "longitude": 100.36014 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 6°7'15.7\"N, 100°21'36.5\"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: 6.12104°", + "Step 4: Calculate longitude", + " Longitude: 100.36014°", + "FINAL ANSWER: 6.121040, 100.360140" + ] + }, + { + "task": "format_conversion", + "location_name": "Kadapa", + "source_format": "DMS", + "source_string": "14°28'47.8\"N, 78°49'24.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "14.479950, 78.823460", + "latitude": 14.47995, + "longitude": 78.82346 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 14°28'47.8\"N, 78°49'24.5\"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: 14.47995°", + "Step 4: Calculate longitude", + " Longitude: 78.82346°", + "FINAL ANSWER: 14.479950, 78.823460" + ] + }, + { + "task": "format_conversion", + "location_name": "Gujranwala", + "source_format": "decimal_degrees", + "source_string": "32.155670, 74.187050", + "target_format": "DMS", + "ground_truth": { + "target_string": "32°9'20.4\"N, 74°11'13.4\"E", + "latitude": 32.15567, + "longitude": 74.18705 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 32.155670, 74.187050", + " Latitude: 32.15567°", + " Longitude: 74.18705°", + "Step 2: Convert latitude to DMS", + " Degrees = 32", + " Minutes = int((32.155670 - 32) × 60) = 9", + " Seconds = ((32.155670 - 32) × 60 - 9) × 60 = 20.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 74", + " Minutes = 11", + " Seconds = 13.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 32°9'20.4\"N, 74°11'13.4\"E", + "FINAL ANSWER: 32°9'20.4\"N, 74°11'13.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Toledo", + "source_format": "decimal_degrees", + "source_string": "-24.713610, -53.743060", + "target_format": "DMS", + "ground_truth": { + "target_string": "24°42'49.0\"S, 53°44'35.0\"W", + "latitude": -24.71361, + "longitude": -53.74306 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -24.713610, -53.743060", + " Latitude: -24.71361°", + " Longitude: -53.74306°", + "Step 2: Convert latitude to DMS", + " Degrees = 24", + " Minutes = int((24.713610 - 24) × 60) = 42", + " Seconds = ((24.713610 - 24) × 60 - 42) × 60 = 49.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 53", + " Minutes = 44", + " Seconds = 35.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 24°42'49.0\"S, 53°44'35.0\"W", + "FINAL ANSWER: 24°42'49.0\"S, 53°44'35.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Bagayevskaya", + "source_format": "DD", + "source_string": "47.320490, 40.384700", + "target_format": "DMS", + "ground_truth": { + "target_string": "47°19'13.8\"N, 40°23'4.9\"E", + "latitude": 47.32049, + "longitude": 40.3847 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: 47.320490, 40.384700", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 47°19'13.8\"N, 40°23'4.9\"E", + "FINAL ANSWER: 47°19'13.8\"N, 40°23'4.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Bensenville", + "source_format": "decimal_degrees", + "source_string": "41.955030, -87.940070", + "target_format": "DMS", + "ground_truth": { + "target_string": "41°57'18.1\"N, 87°56'24.3\"W", + "latitude": 41.95503, + "longitude": -87.94007 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 41.955030, -87.940070", + " Latitude: 41.95503°", + " Longitude: -87.94007°", + "Step 2: Convert latitude to DMS", + " Degrees = 41", + " Minutes = int((41.955030 - 41) × 60) = 57", + " Seconds = ((41.955030 - 41) × 60 - 57) × 60 = 18.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 87", + " Minutes = 56", + " Seconds = 24.3", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 41°57'18.1\"N, 87°56'24.3\"W", + "FINAL ANSWER: 41°57'18.1\"N, 87°56'24.3\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Lusambo", + "source_format": "decimal_degrees", + "source_string": "-4.975030, 23.443910", + "target_format": "DMS", + "ground_truth": { + "target_string": "4°58'30.1\"S, 23°26'38.1\"E", + "latitude": -4.97503, + "longitude": 23.44391 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -4.975030, 23.443910", + " Latitude: -4.97503°", + " Longitude: 23.44391°", + "Step 2: Convert latitude to DMS", + " Degrees = 4", + " Minutes = int((4.975030 - 4) × 60) = 58", + " Seconds = ((4.975030 - 4) × 60 - 58) × 60 = 30.1", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 23", + " Minutes = 26", + " Seconds = 38.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 4°58'30.1\"S, 23°26'38.1\"E", + "FINAL ANSWER: 4°58'30.1\"S, 23°26'38.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kennesaw", + "source_format": "DD", + "source_string": "34.023430, -84.615490", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°1'24.3\"N, 84°36'55.8\"W", + "latitude": 34.02343, + "longitude": -84.61549 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: 34.023430, -84.615490", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 34°1'24.3\"N, 84°36'55.8\"W", + "FINAL ANSWER: 34°1'24.3\"N, 84°36'55.8\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Kozakai-chō", + "source_format": "decimal_degrees", + "source_string": "34.800000, 137.358890", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°47'60.0\"N, 137°21'32.0\"E", + "latitude": 34.8, + "longitude": 137.35889 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 34.800000, 137.358890", + " Latitude: 34.8°", + " Longitude: 137.35889°", + "Step 2: Convert latitude to DMS", + " Degrees = 34", + " Minutes = int((34.800000 - 34) × 60) = 47", + " Seconds = ((34.800000 - 34) × 60 - 47) × 60 = 60.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 137", + " Minutes = 21", + " Seconds = 32.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 34°47'60.0\"N, 137°21'32.0\"E", + "FINAL ANSWER: 34°47'60.0\"N, 137°21'32.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "São Sebastião do Passé", + "source_format": "DMS", + "source_string": "12°30'45.0\"S, 38°29'43.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-12.512500, -38.495280", + "latitude": -12.5125, + "longitude": -38.49528 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 12°30'45.0\"S, 38°29'43.0\"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: -12.5125°", + "Step 4: Calculate longitude", + " Longitude: -38.49528°", + "FINAL ANSWER: -12.512500, -38.495280" + ] + }, + { + "task": "format_conversion", + "location_name": "Sake", + "source_format": "decimal_degrees", + "source_string": "-1.573860, 29.043390", + "target_format": "DMS", + "ground_truth": { + "target_string": "1°34'25.9\"S, 29°2'36.2\"E", + "latitude": -1.57386, + "longitude": 29.04339 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -1.573860, 29.043390", + " Latitude: -1.57386°", + " Longitude: 29.04339°", + "Step 2: Convert latitude to DMS", + " Degrees = 1", + " Minutes = int((1.573860 - 1) × 60) = 34", + " Seconds = ((1.573860 - 1) × 60 - 34) × 60 = 25.9", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 29", + " Minutes = 2", + " Seconds = 36.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 1°34'25.9\"S, 29°2'36.2\"E", + "FINAL ANSWER: 1°34'25.9\"S, 29°2'36.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Māndalgarh", + "source_format": "DMS", + "source_string": "25°11'38.7\"N, 75°4'19.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "25.194070, 75.072150", + "latitude": 25.19407, + "longitude": 75.07215 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 25°11'38.7\"N, 75°4'19.7\"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: 25.19407°", + "Step 4: Calculate longitude", + " Longitude: 75.07215°", + "FINAL ANSWER: 25.194070, 75.072150" + ] + }, + { + "task": "format_conversion", + "location_name": "Gebze", + "source_format": "decimal_degrees", + "source_string": "40.802760, 29.430680", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°48'9.9\"N, 29°25'50.4\"E", + "latitude": 40.80276, + "longitude": 29.43068 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.802760, 29.430680", + " Latitude: 40.80276°", + " Longitude: 29.43068°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.802760 - 40) × 60) = 48", + " Seconds = ((40.802760 - 40) × 60 - 48) × 60 = 9.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 29", + " Minutes = 25", + " Seconds = 50.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 40°48'9.9\"N, 29°25'50.4\"E", + "FINAL ANSWER: 40°48'9.9\"N, 29°25'50.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Vadgaon", + "source_format": "DMS", + "source_string": "20°22'33.2\"N, 78°6'45.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "20.375890, 78.112580", + "latitude": 20.37589, + "longitude": 78.11258 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 20°22'33.2\"N, 78°6'45.3\"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: 20.37589°", + "Step 4: Calculate longitude", + " Longitude: 78.11258°", + "FINAL ANSWER: 20.375890, 78.112580" + ] + }, + { + "task": "format_conversion", + "location_name": "Sim", + "source_format": "DMS", + "source_string": "54°59'34.8\"N, 57°41'53.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "54.993000, 57.698200", + "latitude": 54.993, + "longitude": 57.6982 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 54°59'34.8\"N, 57°41'53.5\"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: 54.993°", + "Step 4: Calculate longitude", + " Longitude: 57.6982°", + "FINAL ANSWER: 54.993000, 57.698200" + ] + }, + { + "task": "format_conversion", + "location_name": "Papaya", + "source_format": "DMS", + "source_string": "15°19'12.6\"N, 120°50'8.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "15.320160, 120.835740", + "latitude": 15.32016, + "longitude": 120.83574 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 15°19'12.6\"N, 120°50'8.7\"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: 15.32016°", + "Step 4: Calculate longitude", + " Longitude: 120.83574°", + "FINAL ANSWER: 15.320160, 120.835740" + ] + }, + { + "task": "format_conversion", + "location_name": "Heerhugowaard", + "source_format": "DMS", + "source_string": "52°40'17.2\"N, 4°50'55.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "52.671440, 4.848620", + "latitude": 52.67144, + "longitude": 4.84862 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 52°40'17.2\"N, 4°50'55.0\"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: 52.67144°", + "Step 4: Calculate longitude", + " Longitude: 4.84862°", + "FINAL ANSWER: 52.671440, 4.848620" + ] + }, + { + "task": "format_conversion", + "location_name": "Rāvu", + "source_format": "DMS", + "source_string": "22°38'14.2\"N, 75°48'53.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "22.637270, 75.814740", + "latitude": 22.63727, + "longitude": 75.81474 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 22°38'14.2\"N, 75°48'53.1\"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: 22.63727°", + "Step 4: Calculate longitude", + " Longitude: 75.81474°", + "FINAL ANSWER: 22.637270, 75.814740" + ] + }, + { + "task": "format_conversion", + "location_name": "Amlapura", + "source_format": "decimal_degrees", + "source_string": "-8.450000, 115.616670", + "target_format": "DMS", + "ground_truth": { + "target_string": "8°26'60.0\"S, 115°37'0.0\"E", + "latitude": -8.45, + "longitude": 115.61667 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -8.450000, 115.616670", + " Latitude: -8.45°", + " Longitude: 115.61667°", + "Step 2: Convert latitude to DMS", + " Degrees = 8", + " Minutes = int((8.450000 - 8) × 60) = 26", + " Seconds = ((8.450000 - 8) × 60 - 26) × 60 = 60.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 115", + " Minutes = 37", + " Seconds = 0.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 8°26'60.0\"S, 115°37'0.0\"E", + "FINAL ANSWER: 8°26'60.0\"S, 115°37'0.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Sédhiou", + "source_format": "decimal_degrees", + "source_string": "12.708060, -15.556940", + "target_format": "DMS", + "ground_truth": { + "target_string": "12°42'29.0\"N, 15°33'25.0\"W", + "latitude": 12.70806, + "longitude": -15.55694 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 12.708060, -15.556940", + " Latitude: 12.70806°", + " Longitude: -15.55694°", + "Step 2: Convert latitude to DMS", + " Degrees = 12", + " Minutes = int((12.708060 - 12) × 60) = 42", + " Seconds = ((12.708060 - 12) × 60 - 42) × 60 = 29.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 15", + " Minutes = 33", + " Seconds = 25.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 12°42'29.0\"N, 15°33'25.0\"W", + "FINAL ANSWER: 12°42'29.0\"N, 15°33'25.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Oleśnica", + "source_format": "DMS", + "source_string": "51°12'48.2\"N, 17°23'23.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "51.213380, 17.389860", + "latitude": 51.21338, + "longitude": 17.38986 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 51°12'48.2\"N, 17°23'23.5\"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: 51.21338°", + "Step 4: Calculate longitude", + " Longitude: 17.38986°", + "FINAL ANSWER: 51.213380, 17.389860" + ] + }, + { + "task": "format_conversion", + "location_name": "Tunceli", + "source_format": "DMS", + "source_string": "39°5'57.2\"N, 39°32'36.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "39.099210, 39.543510", + "latitude": 39.09921, + "longitude": 39.54351 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 39°5'57.2\"N, 39°32'36.6\"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: 39.09921°", + "Step 4: Calculate longitude", + " Longitude: 39.54351°", + "FINAL ANSWER: 39.099210, 39.543510" + ] + }, + { + "task": "format_conversion", + "location_name": "Jilib", + "source_format": "DMS", + "source_string": "0°29'17.8\"N, 42°47'7.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "0.488290, 42.785350", + "latitude": 0.48829, + "longitude": 42.78535 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 0°29'17.8\"N, 42°47'7.3\"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: 0.48829°", + "Step 4: Calculate longitude", + " Longitude: 42.78535°", + "FINAL ANSWER: 0.488290, 42.785350" + ] + }, + { + "task": "format_conversion", + "location_name": "Santa Rita", + "source_format": "DMS", + "source_string": "7°6'50.0\"S, 34°58'41.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-7.113890, -34.978060", + "latitude": -7.11389, + "longitude": -34.97806 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 7°6'50.0\"S, 34°58'41.0\"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: -7.11389°", + "Step 4: Calculate longitude", + " Longitude: -34.97806°", + "FINAL ANSWER: -7.113890, -34.978060" + ] + }, + { + "task": "format_conversion", + "location_name": "Chapeltown", + "source_format": "decimal_degrees", + "source_string": "53.465060, -1.472170", + "target_format": "DMS", + "ground_truth": { + "target_string": "53°27'54.2\"N, 1°28'19.8\"W", + "latitude": 53.46506, + "longitude": -1.47217 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 53.465060, -1.472170", + " Latitude: 53.46506°", + " Longitude: -1.47217°", + "Step 2: Convert latitude to DMS", + " Degrees = 53", + " Minutes = int((53.465060 - 53) × 60) = 27", + " Seconds = ((53.465060 - 53) × 60 - 27) × 60 = 54.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 1", + " Minutes = 28", + " Seconds = 19.8", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 53°27'54.2\"N, 1°28'19.8\"W", + "FINAL ANSWER: 53°27'54.2\"N, 1°28'19.8\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Kodinsk", + "source_format": "DMS", + "source_string": "58°36'22.6\"N, 99°10'26.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "58.606290, 99.173980", + "latitude": 58.60629, + "longitude": 99.17398 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 58°36'22.6\"N, 99°10'26.3\"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: 58.60629°", + "Step 4: Calculate longitude", + " Longitude: 99.17398°", + "FINAL ANSWER: 58.606290, 99.173980" + ] + }, + { + "task": "format_conversion", + "location_name": "Mission", + "source_format": "DMS", + "source_string": "49°7'58.7\"N, 122°18'9.3\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "49.132980, -122.302580", + "latitude": 49.13298, + "longitude": -122.30258 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 49°7'58.7\"N, 122°18'9.3\"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: 49.13298°", + "Step 4: Calculate longitude", + " Longitude: -122.30258°", + "FINAL ANSWER: 49.132980, -122.302580" + ] + }, + { + "task": "format_conversion", + "location_name": "Ijebu-Jesa", + "source_format": "DMS", + "source_string": "7°40'58.3\"N, 4°49'3.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "7.682870, 4.817690", + "latitude": 7.68287, + "longitude": 4.81769 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 7°40'58.3\"N, 4°49'3.7\"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: 7.68287°", + "Step 4: Calculate longitude", + " Longitude: 4.81769°", + "FINAL ANSWER: 7.682870, 4.817690" + ] + }, + { + "task": "format_conversion", + "location_name": "Ilchester", + "source_format": "DMS", + "source_string": "39°15'3.4\"N, 76°45'52.9\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "39.250940, -76.764690", + "latitude": 39.25094, + "longitude": -76.76469 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 39°15'3.4\"N, 76°45'52.9\"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: 39.25094°", + "Step 4: Calculate longitude", + " Longitude: -76.76469°", + "FINAL ANSWER: 39.250940, -76.764690" + ] + }, + { + "task": "format_conversion", + "location_name": "Adebaye", + "source_format": "decimal_degrees", + "source_string": "14.202260, 36.759550", + "target_format": "DMS", + "ground_truth": { + "target_string": "14°12'8.1\"N, 36°45'34.4\"E", + "latitude": 14.20226, + "longitude": 36.75955 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 14.202260, 36.759550", + " Latitude: 14.20226°", + " Longitude: 36.75955°", + "Step 2: Convert latitude to DMS", + " Degrees = 14", + " Minutes = int((14.202260 - 14) × 60) = 12", + " Seconds = ((14.202260 - 14) × 60 - 12) × 60 = 8.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 36", + " Minutes = 45", + " Seconds = 34.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 14°12'8.1\"N, 36°45'34.4\"E", + "FINAL ANSWER: 14°12'8.1\"N, 36°45'34.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Serowe", + "source_format": "decimal_degrees", + "source_string": "-22.387540, 26.710770", + "target_format": "DMS", + "ground_truth": { + "target_string": "22°23'15.1\"S, 26°42'38.8\"E", + "latitude": -22.38754, + "longitude": 26.71077 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -22.387540, 26.710770", + " Latitude: -22.38754°", + " Longitude: 26.71077°", + "Step 2: Convert latitude to DMS", + " Degrees = 22", + " Minutes = int((22.387540 - 22) × 60) = 23", + " Seconds = ((22.387540 - 22) × 60 - 23) × 60 = 15.1", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 26", + " Minutes = 42", + " Seconds = 38.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 22°23'15.1\"S, 26°42'38.8\"E", + "FINAL ANSWER: 22°23'15.1\"S, 26°42'38.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Gonesse", + "source_format": "decimal_degrees", + "source_string": "48.986930, 2.448920", + "target_format": "DMS", + "ground_truth": { + "target_string": "48°59'12.9\"N, 2°26'56.1\"E", + "latitude": 48.98693, + "longitude": 2.44892 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 48.986930, 2.448920", + " Latitude: 48.98693°", + " Longitude: 2.44892°", + "Step 2: Convert latitude to DMS", + " Degrees = 48", + " Minutes = int((48.986930 - 48) × 60) = 59", + " Seconds = ((48.986930 - 48) × 60 - 59) × 60 = 12.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 2", + " Minutes = 26", + " Seconds = 56.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 48°59'12.9\"N, 2°26'56.1\"E", + "FINAL ANSWER: 48°59'12.9\"N, 2°26'56.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Legionowo", + "source_format": "DMS", + "source_string": "52°24'5.4\"N, 20°55'35.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "52.401490, 20.926640", + "latitude": 52.40149, + "longitude": 20.92664 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 52°24'5.4\"N, 20°55'35.9\"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: 52.40149°", + "Step 4: Calculate longitude", + " Longitude: 20.92664°", + "FINAL ANSWER: 52.401490, 20.926640" + ] + }, + { + "task": "format_conversion", + "location_name": "Schoten", + "source_format": "decimal_degrees", + "source_string": "51.252510, 4.502680", + "target_format": "DMS", + "ground_truth": { + "target_string": "51°15'9.0\"N, 4°30'9.6\"E", + "latitude": 51.25251, + "longitude": 4.50268 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 51.252510, 4.502680", + " Latitude: 51.25251°", + " Longitude: 4.50268°", + "Step 2: Convert latitude to DMS", + " Degrees = 51", + " Minutes = int((51.252510 - 51) × 60) = 15", + " Seconds = ((51.252510 - 51) × 60 - 15) × 60 = 9.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 4", + " Minutes = 30", + " Seconds = 9.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 51°15'9.0\"N, 4°30'9.6\"E", + "FINAL ANSWER: 51°15'9.0\"N, 4°30'9.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Casigua El Cubo", + "source_format": "decimal_degrees", + "source_string": "8.746020, -72.518890", + "target_format": "DMS", + "ground_truth": { + "target_string": "8°44'45.7\"N, 72°31'8.0\"W", + "latitude": 8.74602, + "longitude": -72.51889 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 8.746020, -72.518890", + " Latitude: 8.74602°", + " Longitude: -72.51889°", + "Step 2: Convert latitude to DMS", + " Degrees = 8", + " Minutes = int((8.746020 - 8) × 60) = 44", + " Seconds = ((8.746020 - 8) × 60 - 44) × 60 = 45.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 72", + " Minutes = 31", + " Seconds = 8.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 8°44'45.7\"N, 72°31'8.0\"W", + "FINAL ANSWER: 8°44'45.7\"N, 72°31'8.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Nutley", + "source_format": "decimal_degrees", + "source_string": "40.822320, -74.159870", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°49'20.4\"N, 74°9'35.5\"W", + "latitude": 40.82232, + "longitude": -74.15987 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.822320, -74.159870", + " Latitude: 40.82232°", + " Longitude: -74.15987°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.822320 - 40) × 60) = 49", + " Seconds = ((40.822320 - 40) × 60 - 49) × 60 = 20.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 74", + " Minutes = 9", + " Seconds = 35.5", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 40°49'20.4\"N, 74°9'35.5\"W", + "FINAL ANSWER: 40°49'20.4\"N, 74°9'35.5\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Makakilo", + "source_format": "DMS", + "source_string": "21°21'8.5\"N, 158°5'11.6\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "21.352370, -158.086550", + "latitude": 21.35237, + "longitude": -158.08655 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 21°21'8.5\"N, 158°5'11.6\"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: 21.35237°", + "Step 4: Calculate longitude", + " Longitude: -158.08655°", + "FINAL ANSWER: 21.352370, -158.086550" + ] + }, + { + "task": "format_conversion", + "location_name": "Kuraymah", + "source_format": "decimal_degrees", + "source_string": "18.550000, 31.850000", + "target_format": "DMS", + "ground_truth": { + "target_string": "18°33'0.0\"N, 31°51'0.0\"E", + "latitude": 18.55, + "longitude": 31.85 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 18.550000, 31.850000", + " Latitude: 18.55°", + " Longitude: 31.85°", + "Step 2: Convert latitude to DMS", + " Degrees = 18", + " Minutes = int((18.550000 - 18) × 60) = 33", + " Seconds = ((18.550000 - 18) × 60 - 33) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 31", + " Minutes = 51", + " Seconds = 0.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 18°33'0.0\"N, 31°51'0.0\"E", + "FINAL ANSWER: 18°33'0.0\"N, 31°51'0.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kukatpally", + "source_format": "DMS", + "source_string": "17°29'5.5\"N, 78°24'49.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "17.484860, 78.413760", + "latitude": 17.48486, + "longitude": 78.41376 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 17°29'5.5\"N, 78°24'49.5\"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: 17.48486°", + "Step 4: Calculate longitude", + " Longitude: 78.41376°", + "FINAL ANSWER: 17.484860, 78.413760" + ] + }, + { + "task": "format_conversion", + "location_name": "Szentendre", + "source_format": "decimal_degrees", + "source_string": "47.669430, 19.075610", + "target_format": "DMS", + "ground_truth": { + "target_string": "47°40'9.9\"N, 19°4'32.2\"E", + "latitude": 47.66943, + "longitude": 19.07561 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 47.669430, 19.075610", + " Latitude: 47.66943°", + " Longitude: 19.07561°", + "Step 2: Convert latitude to DMS", + " Degrees = 47", + " Minutes = int((47.669430 - 47) × 60) = 40", + " Seconds = ((47.669430 - 47) × 60 - 40) × 60 = 9.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 19", + " Minutes = 4", + " Seconds = 32.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 47°40'9.9\"N, 19°4'32.2\"E", + "FINAL ANSWER: 47°40'9.9\"N, 19°4'32.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Shikarpur", + "source_format": "DMS", + "source_string": "27°57'20.1\"N, 68°38'17.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "27.955580, 68.638230", + "latitude": 27.95558, + "longitude": 68.63823 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 27°57'20.1\"N, 68°38'17.6\"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: 27.95558°", + "Step 4: Calculate longitude", + " Longitude: 68.63823°", + "FINAL ANSWER: 27.955580, 68.638230" + ] + }, + { + "task": "format_conversion", + "location_name": "Lebrija", + "source_format": "decimal_degrees", + "source_string": "36.920770, -6.075290", + "target_format": "DMS", + "ground_truth": { + "target_string": "36°55'14.8\"N, 6°4'31.0\"W", + "latitude": 36.92077, + "longitude": -6.07529 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 36.920770, -6.075290", + " Latitude: 36.92077°", + " Longitude: -6.07529°", + "Step 2: Convert latitude to DMS", + " Degrees = 36", + " Minutes = int((36.920770 - 36) × 60) = 55", + " Seconds = ((36.920770 - 36) × 60 - 55) × 60 = 14.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 6", + " Minutes = 4", + " Seconds = 31.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 36°55'14.8\"N, 6°4'31.0\"W", + "FINAL ANSWER: 36°55'14.8\"N, 6°4'31.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Al Khābūrah", + "source_format": "DMS", + "source_string": "23°58'17.2\"N, 57°5'35.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "23.971440, 57.093130", + "latitude": 23.97144, + "longitude": 57.09313 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 23°58'17.2\"N, 57°5'35.3\"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: 23.97144°", + "Step 4: Calculate longitude", + " Longitude: 57.09313°", + "FINAL ANSWER: 23.971440, 57.093130" + ] + }, + { + "task": "format_conversion", + "location_name": "Basingstoke", + "source_format": "DMS", + "source_string": "51°15'45.0\"N, 1°5'13.5\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "51.262490, -1.087080", + "latitude": 51.26249, + "longitude": -1.08708 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 51°15'45.0\"N, 1°5'13.5\"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: 51.26249°", + "Step 4: Calculate longitude", + " Longitude: -1.08708°", + "FINAL ANSWER: 51.262490, -1.087080" + ] + }, + { + "task": "format_conversion", + "location_name": "Along", + "source_format": "DMS", + "source_string": "28°10'10.2\"N, 94°48'2.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "28.169510, 94.800600", + "latitude": 28.16951, + "longitude": 94.8006 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 28°10'10.2\"N, 94°48'2.2\"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: 28.16951°", + "Step 4: Calculate longitude", + " Longitude: 94.8006°", + "FINAL ANSWER: 28.169510, 94.800600" + ] + }, + { + "task": "format_conversion", + "location_name": "Ferokh", + "source_format": "decimal_degrees", + "source_string": "11.179890, 75.841410", + "target_format": "DMS", + "ground_truth": { + "target_string": "11°10'47.6\"N, 75°50'29.1\"E", + "latitude": 11.17989, + "longitude": 75.84141 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 11.179890, 75.841410", + " Latitude: 11.17989°", + " Longitude: 75.84141°", + "Step 2: Convert latitude to DMS", + " Degrees = 11", + " Minutes = int((11.179890 - 11) × 60) = 10", + " Seconds = ((11.179890 - 11) × 60 - 10) × 60 = 47.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 75", + " Minutes = 50", + " Seconds = 29.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 11°10'47.6\"N, 75°50'29.1\"E", + "FINAL ANSWER: 11°10'47.6\"N, 75°50'29.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Katano", + "source_format": "decimal_degrees", + "source_string": "34.793290, 135.685960", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°47'35.8\"N, 135°41'9.5\"E", + "latitude": 34.79329, + "longitude": 135.68596 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 34.793290, 135.685960", + " Latitude: 34.79329°", + " Longitude: 135.68596°", + "Step 2: Convert latitude to DMS", + " Degrees = 34", + " Minutes = int((34.793290 - 34) × 60) = 47", + " Seconds = ((34.793290 - 34) × 60 - 47) × 60 = 35.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 135", + " Minutes = 41", + " Seconds = 9.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 34°47'35.8\"N, 135°41'9.5\"E", + "FINAL ANSWER: 34°47'35.8\"N, 135°41'9.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Terrassa", + "source_format": "decimal_degrees", + "source_string": "41.566670, 2.016670", + "target_format": "DMS", + "ground_truth": { + "target_string": "41°34'0.0\"N, 2°1'0.0\"E", + "latitude": 41.56667, + "longitude": 2.01667 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 41.566670, 2.016670", + " Latitude: 41.56667°", + " Longitude: 2.01667°", + "Step 2: Convert latitude to DMS", + " Degrees = 41", + " Minutes = int((41.566670 - 41) × 60) = 34", + " Seconds = ((41.566670 - 41) × 60 - 34) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 2", + " Minutes = 1", + " Seconds = 0.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 41°34'0.0\"N, 2°1'0.0\"E", + "FINAL ANSWER: 41°34'0.0\"N, 2°1'0.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Bukit Panjang New Town", + "source_format": "decimal_degrees", + "source_string": "1.379720, 103.764720", + "target_format": "DMS", + "ground_truth": { + "target_string": "1°22'47.0\"N, 103°45'53.0\"E", + "latitude": 1.37972, + "longitude": 103.76472 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 1.379720, 103.764720", + " Latitude: 1.37972°", + " Longitude: 103.76472°", + "Step 2: Convert latitude to DMS", + " Degrees = 1", + " Minutes = int((1.379720 - 1) × 60) = 22", + " Seconds = ((1.379720 - 1) × 60 - 22) × 60 = 47.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 103", + " Minutes = 45", + " Seconds = 53.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 1°22'47.0\"N, 103°45'53.0\"E", + "FINAL ANSWER: 1°22'47.0\"N, 103°45'53.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Ciénaga", + "source_format": "decimal_degrees", + "source_string": "11.007030, -74.247650", + "target_format": "DMS", + "ground_truth": { + "target_string": "11°0'25.3\"N, 74°14'51.5\"W", + "latitude": 11.00703, + "longitude": -74.24765 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 11.007030, -74.247650", + " Latitude: 11.00703°", + " Longitude: -74.24765°", + "Step 2: Convert latitude to DMS", + " Degrees = 11", + " Minutes = int((11.007030 - 11) × 60) = 0", + " Seconds = ((11.007030 - 11) × 60 - 0) × 60 = 25.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 74", + " Minutes = 14", + " Seconds = 51.5", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 11°0'25.3\"N, 74°14'51.5\"W", + "FINAL ANSWER: 11°0'25.3\"N, 74°14'51.5\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Qingyang", + "source_format": "decimal_degrees", + "source_string": "37.495830, 121.258060", + "target_format": "DMS", + "ground_truth": { + "target_string": "37°29'45.0\"N, 121°15'29.0\"E", + "latitude": 37.49583, + "longitude": 121.25806 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 37.495830, 121.258060", + " Latitude: 37.49583°", + " Longitude: 121.25806°", + "Step 2: Convert latitude to DMS", + " Degrees = 37", + " Minutes = int((37.495830 - 37) × 60) = 29", + " Seconds = ((37.495830 - 37) × 60 - 29) × 60 = 45.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 121", + " Minutes = 15", + " Seconds = 29.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 37°29'45.0\"N, 121°15'29.0\"E", + "FINAL ANSWER: 37°29'45.0\"N, 121°15'29.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Licheng", + "source_format": "DMS", + "source_string": "31°25'41.3\"N, 119°29'0.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "31.428130, 119.483530", + "latitude": 31.42813, + "longitude": 119.48353 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 31°25'41.3\"N, 119°29'0.7\"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: 31.42813°", + "Step 4: Calculate longitude", + " Longitude: 119.48353°", + "FINAL ANSWER: 31.428130, 119.483530" + ] + }, + { + "task": "format_conversion", + "location_name": "Oyamazaki", + "source_format": "decimal_degrees", + "source_string": "34.893960, 135.684630", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°53'38.3\"N, 135°41'4.7\"E", + "latitude": 34.89396, + "longitude": 135.68463 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 34.893960, 135.684630", + " Latitude: 34.89396°", + " Longitude: 135.68463°", + "Step 2: Convert latitude to DMS", + " Degrees = 34", + " Minutes = int((34.893960 - 34) × 60) = 53", + " Seconds = ((34.893960 - 34) × 60 - 53) × 60 = 38.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 135", + " Minutes = 41", + " Seconds = 4.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 34°53'38.3\"N, 135°41'4.7\"E", + "FINAL ANSWER: 34°53'38.3\"N, 135°41'4.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kaarela", + "source_format": "decimal_degrees", + "source_string": "60.251740, 24.881110", + "target_format": "DMS", + "ground_truth": { + "target_string": "60°15'6.3\"N, 24°52'52.0\"E", + "latitude": 60.25174, + "longitude": 24.88111 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 60.251740, 24.881110", + " Latitude: 60.25174°", + " Longitude: 24.88111°", + "Step 2: Convert latitude to DMS", + " Degrees = 60", + " Minutes = int((60.251740 - 60) × 60) = 15", + " Seconds = ((60.251740 - 60) × 60 - 15) × 60 = 6.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 24", + " Minutes = 52", + " Seconds = 52.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 60°15'6.3\"N, 24°52'52.0\"E", + "FINAL ANSWER: 60°15'6.3\"N, 24°52'52.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Sébikhotane", + "source_format": "DMS", + "source_string": "14°44'42.8\"N, 17°8'16.2\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "14.745210, -17.137830", + "latitude": 14.74521, + "longitude": -17.13783 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 14°44'42.8\"N, 17°8'16.2\"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: 14.74521°", + "Step 4: Calculate longitude", + " Longitude: -17.13783°", + "FINAL ANSWER: 14.745210, -17.137830" + ] + }, + { + "task": "format_conversion", + "location_name": "Hotaka", + "source_format": "decimal_degrees", + "source_string": "36.339600, 137.882540", + "target_format": "DMS", + "ground_truth": { + "target_string": "36°20'22.6\"N, 137°52'57.1\"E", + "latitude": 36.3396, + "longitude": 137.88254 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 36.339600, 137.882540", + " Latitude: 36.3396°", + " Longitude: 137.88254°", + "Step 2: Convert latitude to DMS", + " Degrees = 36", + " Minutes = int((36.339600 - 36) × 60) = 20", + " Seconds = ((36.339600 - 36) × 60 - 20) × 60 = 22.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 137", + " Minutes = 52", + " Seconds = 57.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 36°20'22.6\"N, 137°52'57.1\"E", + "FINAL ANSWER: 36°20'22.6\"N, 137°52'57.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Sterling", + "source_format": "DMS", + "source_string": "41°47'19.1\"N, 89°41'46.4\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "41.788640, -89.696220", + "latitude": 41.78864, + "longitude": -89.69622 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 41°47'19.1\"N, 89°41'46.4\"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: 41.78864°", + "Step 4: Calculate longitude", + " Longitude: -89.69622°", + "FINAL ANSWER: 41.788640, -89.696220" + ] + }, + { + "task": "format_conversion", + "location_name": "Bānka", + "source_format": "DMS", + "source_string": "24°52'51.3\"N, 86°55'21.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "24.880910, 86.922570", + "latitude": 24.88091, + "longitude": 86.92257 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 24°52'51.3\"N, 86°55'21.3\"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: 24.88091°", + "Step 4: Calculate longitude", + " Longitude: 86.92257°", + "FINAL ANSWER: 24.880910, 86.922570" + ] + }, + { + "task": "format_conversion", + "location_name": "Dĩ An", + "source_format": "DMS", + "source_string": "10°54'24.6\"N, 106°46'9.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "10.906820, 106.769400", + "latitude": 10.90682, + "longitude": 106.7694 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 10°54'24.6\"N, 106°46'9.8\"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: 10.90682°", + "Step 4: Calculate longitude", + " Longitude: 106.7694°", + "FINAL ANSWER: 10.906820, 106.769400" + ] + }, + { + "task": "format_conversion", + "location_name": "Cần Thơ", + "source_format": "decimal_degrees", + "source_string": "10.037110, 105.788250", + "target_format": "DMS", + "ground_truth": { + "target_string": "10°2'13.6\"N, 105°47'17.7\"E", + "latitude": 10.03711, + "longitude": 105.78825 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 10.037110, 105.788250", + " Latitude: 10.03711°", + " Longitude: 105.78825°", + "Step 2: Convert latitude to DMS", + " Degrees = 10", + " Minutes = int((10.037110 - 10) × 60) = 2", + " Seconds = ((10.037110 - 10) × 60 - 2) × 60 = 13.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 105", + " Minutes = 47", + " Seconds = 17.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 10°2'13.6\"N, 105°47'17.7\"E", + "FINAL ANSWER: 10°2'13.6\"N, 105°47'17.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kaliningrad", + "source_format": "DMS", + "source_string": "54°42'23.0\"N, 20°30'39.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "54.706390, 20.511020", + "latitude": 54.70639, + "longitude": 20.51102 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 54°42'23.0\"N, 20°30'39.7\"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: 54.70639°", + "Step 4: Calculate longitude", + " Longitude: 20.51102°", + "FINAL ANSWER: 54.706390, 20.511020" + ] + }, + { + "task": "format_conversion", + "location_name": "Dorcheh Pīāz", + "source_format": "decimal_degrees", + "source_string": "32.615280, 51.555560", + "target_format": "DMS", + "ground_truth": { + "target_string": "32°36'55.0\"N, 51°33'20.0\"E", + "latitude": 32.61528, + "longitude": 51.55556 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 32.615280, 51.555560", + " Latitude: 32.61528°", + " Longitude: 51.55556°", + "Step 2: Convert latitude to DMS", + " Degrees = 32", + " Minutes = int((32.615280 - 32) × 60) = 36", + " Seconds = ((32.615280 - 32) × 60 - 36) × 60 = 55.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 51", + " Minutes = 33", + " Seconds = 20.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 32°36'55.0\"N, 51°33'20.0\"E", + "FINAL ANSWER: 32°36'55.0\"N, 51°33'20.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Józefów", + "source_format": "DMS", + "source_string": "52°8'13.5\"N, 21°14'9.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "52.137070, 21.235890", + "latitude": 52.13707, + "longitude": 21.23589 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 52°8'13.5\"N, 21°14'9.2\"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: 52.13707°", + "Step 4: Calculate longitude", + " Longitude: 21.23589°", + "FINAL ANSWER: 52.137070, 21.235890" + ] + }, + { + "task": "format_conversion", + "location_name": "Yenagoa", + "source_format": "decimal_degrees", + "source_string": "4.926750, 6.267640", + "target_format": "DMS", + "ground_truth": { + "target_string": "4°55'36.3\"N, 6°16'3.5\"E", + "latitude": 4.92675, + "longitude": 6.26764 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 4.926750, 6.267640", + " Latitude: 4.92675°", + " Longitude: 6.26764°", + "Step 2: Convert latitude to DMS", + " Degrees = 4", + " Minutes = int((4.926750 - 4) × 60) = 55", + " Seconds = ((4.926750 - 4) × 60 - 55) × 60 = 36.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 6", + " Minutes = 16", + " Seconds = 3.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 4°55'36.3\"N, 6°16'3.5\"E", + "FINAL ANSWER: 4°55'36.3\"N, 6°16'3.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Lincoln Square", + "source_format": "decimal_degrees", + "source_string": "41.975870, -87.689220", + "target_format": "DMS", + "ground_truth": { + "target_string": "41°58'33.1\"N, 87°41'21.2\"W", + "latitude": 41.97587, + "longitude": -87.68922 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 41.975870, -87.689220", + " Latitude: 41.97587°", + " Longitude: -87.68922°", + "Step 2: Convert latitude to DMS", + " Degrees = 41", + " Minutes = int((41.975870 - 41) × 60) = 58", + " Seconds = ((41.975870 - 41) × 60 - 58) × 60 = 33.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 87", + " Minutes = 41", + " Seconds = 21.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 41°58'33.1\"N, 87°41'21.2\"W", + "FINAL ANSWER: 41°58'33.1\"N, 87°41'21.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Quankou", + "source_format": "DMS", + "source_string": "37°21'8.0\"N, 101°44'21.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "37.352220, 101.739300", + "latitude": 37.35222, + "longitude": 101.7393 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 37°21'8.0\"N, 101°44'21.5\"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: 37.35222°", + "Step 4: Calculate longitude", + " Longitude: 101.7393°", + "FINAL ANSWER: 37.352220, 101.739300" + ] + }, + { + "task": "format_conversion", + "location_name": "Bilhorod-Dnistrovskyi", + "source_format": "decimal_degrees", + "source_string": "46.194840, 30.348270", + "target_format": "DMS", + "ground_truth": { + "target_string": "46°11'41.4\"N, 30°20'53.8\"E", + "latitude": 46.19484, + "longitude": 30.34827 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 46.194840, 30.348270", + " Latitude: 46.19484°", + " Longitude: 30.34827°", + "Step 2: Convert latitude to DMS", + " Degrees = 46", + " Minutes = int((46.194840 - 46) × 60) = 11", + " Seconds = ((46.194840 - 46) × 60 - 11) × 60 = 41.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 30", + " Minutes = 20", + " Seconds = 53.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 46°11'41.4\"N, 30°20'53.8\"E", + "FINAL ANSWER: 46°11'41.4\"N, 30°20'53.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Mégrine", + "source_format": "decimal_degrees", + "source_string": "36.769170, 10.236390", + "target_format": "DMS", + "ground_truth": { + "target_string": "36°46'9.0\"N, 10°14'11.0\"E", + "latitude": 36.76917, + "longitude": 10.23639 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 36.769170, 10.236390", + " Latitude: 36.76917°", + " Longitude: 10.23639°", + "Step 2: Convert latitude to DMS", + " Degrees = 36", + " Minutes = int((36.769170 - 36) × 60) = 46", + " Seconds = ((36.769170 - 36) × 60 - 46) × 60 = 9.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 10", + " Minutes = 14", + " Seconds = 11.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 36°46'9.0\"N, 10°14'11.0\"E", + "FINAL ANSWER: 36°46'9.0\"N, 10°14'11.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Chengalpattu", + "source_format": "decimal_degrees", + "source_string": "12.691840, 79.976610", + "target_format": "DMS", + "ground_truth": { + "target_string": "12°41'30.6\"N, 79°58'35.8\"E", + "latitude": 12.69184, + "longitude": 79.97661 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 12.691840, 79.976610", + " Latitude: 12.69184°", + " Longitude: 79.97661°", + "Step 2: Convert latitude to DMS", + " Degrees = 12", + " Minutes = int((12.691840 - 12) × 60) = 41", + " Seconds = ((12.691840 - 12) × 60 - 41) × 60 = 30.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 79", + " Minutes = 58", + " Seconds = 35.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 12°41'30.6\"N, 79°58'35.8\"E", + "FINAL ANSWER: 12°41'30.6\"N, 79°58'35.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Boa Vista do Tupim", + "source_format": "DMS", + "source_string": "12°39'44.3\"S, 40°36'23.5\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-12.662300, -40.606520", + "latitude": -12.6623, + "longitude": -40.60652 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 12°39'44.3\"S, 40°36'23.5\"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: -12.6623°", + "Step 4: Calculate longitude", + " Longitude: -40.60652°", + "FINAL ANSWER: -12.662300, -40.606520" + ] + }, + { + "task": "format_conversion", + "location_name": "Umluj", + "source_format": "DMS", + "source_string": "25°1'16.5\"N, 37°16'6.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "25.021260, 37.268500", + "latitude": 25.02126, + "longitude": 37.2685 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 25°1'16.5\"N, 37°16'6.6\"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: 25.02126°", + "Step 4: Calculate longitude", + " Longitude: 37.2685°", + "FINAL ANSWER: 25.021260, 37.268500" + ] + }, + { + "task": "format_conversion", + "location_name": "Vezirköprü", + "source_format": "DD", + "source_string": "41.143610, 35.454720", + "target_format": "DMS", + "ground_truth": { + "target_string": "41°8'37.0\"N, 35°27'17.0\"E", + "latitude": 41.14361, + "longitude": 35.45472 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: 41.143610, 35.454720", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 41°8'37.0\"N, 35°27'17.0\"E", + "FINAL ANSWER: 41°8'37.0\"N, 35°27'17.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Catacaos", + "source_format": "DMS", + "source_string": "5°16'0.0\"S, 80°40'60.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-5.266670, -80.683330", + "latitude": -5.26667, + "longitude": -80.68333 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 5°16'0.0\"S, 80°40'60.0\"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: -5.26667°", + "Step 4: Calculate longitude", + " Longitude: -80.68333°", + "FINAL ANSWER: -5.266670, -80.683330" + ] + }, + { + "task": "format_conversion", + "location_name": "Diaoubé", + "source_format": "decimal_degrees", + "source_string": "12.916670, -14.166670", + "target_format": "DMS", + "ground_truth": { + "target_string": "12°55'0.0\"N, 14°10'0.0\"W", + "latitude": 12.91667, + "longitude": -14.16667 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 12.916670, -14.166670", + " Latitude: 12.91667°", + " Longitude: -14.16667°", + "Step 2: Convert latitude to DMS", + " Degrees = 12", + " Minutes = int((12.916670 - 12) × 60) = 55", + " Seconds = ((12.916670 - 12) × 60 - 55) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 14", + " Minutes = 10", + " Seconds = 0.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 12°55'0.0\"N, 14°10'0.0\"W", + "FINAL ANSWER: 12°55'0.0\"N, 14°10'0.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Ajka", + "source_format": "DMS", + "source_string": "47°6'7.1\"N, 17°33'32.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "47.101960, 17.558920", + "latitude": 47.10196, + "longitude": 17.55892 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 47°6'7.1\"N, 17°33'32.1\"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: 47.10196°", + "Step 4: Calculate longitude", + " Longitude: 17.55892°", + "FINAL ANSWER: 47.101960, 17.558920" + ] + }, + { + "task": "format_conversion", + "location_name": "Bīdāsar", + "source_format": "DMS", + "source_string": "27°50'9.5\"N, 74°19'3.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "27.835980, 74.317760", + "latitude": 27.83598, + "longitude": 74.31776 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 27°50'9.5\"N, 74°19'3.9\"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: 27.83598°", + "Step 4: Calculate longitude", + " Longitude: 74.31776°", + "FINAL ANSWER: 27.835980, 74.317760" + ] + }, + { + "task": "format_conversion", + "location_name": "Fujiidera", + "source_format": "decimal_degrees", + "source_string": "34.567600, 135.597400", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°34'3.4\"N, 135°35'50.6\"E", + "latitude": 34.5676, + "longitude": 135.5974 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 34.567600, 135.597400", + " Latitude: 34.5676°", + " Longitude: 135.5974°", + "Step 2: Convert latitude to DMS", + " Degrees = 34", + " Minutes = int((34.567600 - 34) × 60) = 34", + " Seconds = ((34.567600 - 34) × 60 - 34) × 60 = 3.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 135", + " Minutes = 35", + " Seconds = 50.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 34°34'3.4\"N, 135°35'50.6\"E", + "FINAL ANSWER: 34°34'3.4\"N, 135°35'50.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Vijalpor", + "source_format": "DMS", + "source_string": "20°55'19.6\"N, 72°54'34.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "20.922120, 72.909450", + "latitude": 20.92212, + "longitude": 72.90945 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 20°55'19.6\"N, 72°54'34.0\"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: 20.92212°", + "Step 4: Calculate longitude", + " Longitude: 72.90945°", + "FINAL ANSWER: 20.922120, 72.909450" + ] + }, + { + "task": "format_conversion", + "location_name": "Ofaqim", + "source_format": "DMS", + "source_string": "31°18'50.8\"N, 34°37'12.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "31.314100, 34.620250", + "latitude": 31.3141, + "longitude": 34.62025 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 31°18'50.8\"N, 34°37'12.9\"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: 31.3141°", + "Step 4: Calculate longitude", + " Longitude: 34.62025°", + "FINAL ANSWER: 31.314100, 34.620250" + ] + }, + { + "task": "format_conversion", + "location_name": "Mafraq", + "source_format": "decimal_degrees", + "source_string": "32.342890, 36.208040", + "target_format": "DMS", + "ground_truth": { + "target_string": "32°20'34.4\"N, 36°12'28.9\"E", + "latitude": 32.34289, + "longitude": 36.20804 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 32.342890, 36.208040", + " Latitude: 32.34289°", + " Longitude: 36.20804°", + "Step 2: Convert latitude to DMS", + " Degrees = 32", + " Minutes = int((32.342890 - 32) × 60) = 20", + " Seconds = ((32.342890 - 32) × 60 - 20) × 60 = 34.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 36", + " Minutes = 12", + " Seconds = 28.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 32°20'34.4\"N, 36°12'28.9\"E", + "FINAL ANSWER: 32°20'34.4\"N, 36°12'28.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Higashigō", + "source_format": "decimal_degrees", + "source_string": "33.190810, 130.138040", + "target_format": "DMS", + "ground_truth": { + "target_string": "33°11'26.9\"N, 130°8'16.9\"E", + "latitude": 33.19081, + "longitude": 130.13804 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 33.190810, 130.138040", + " Latitude: 33.19081°", + " Longitude: 130.13804°", + "Step 2: Convert latitude to DMS", + " Degrees = 33", + " Minutes = int((33.190810 - 33) × 60) = 11", + " Seconds = ((33.190810 - 33) × 60 - 11) × 60 = 26.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 130", + " Minutes = 8", + " Seconds = 16.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 33°11'26.9\"N, 130°8'16.9\"E", + "FINAL ANSWER: 33°11'26.9\"N, 130°8'16.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Yorba Linda", + "source_format": "decimal_degrees", + "source_string": "33.888630, -117.813110", + "target_format": "DMS", + "ground_truth": { + "target_string": "33°53'19.1\"N, 117°48'47.2\"W", + "latitude": 33.88863, + "longitude": -117.81311 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 33.888630, -117.813110", + " Latitude: 33.88863°", + " Longitude: -117.81311°", + "Step 2: Convert latitude to DMS", + " Degrees = 33", + " Minutes = int((33.888630 - 33) × 60) = 53", + " Seconds = ((33.888630 - 33) × 60 - 53) × 60 = 19.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 117", + " Minutes = 48", + " Seconds = 47.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 33°53'19.1\"N, 117°48'47.2\"W", + "FINAL ANSWER: 33°53'19.1\"N, 117°48'47.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Kasozi", + "source_format": "DMS", + "source_string": "0°1'12.0\"N, 30°29'55.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "0.020000, 30.498610", + "latitude": 0.02, + "longitude": 30.49861 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 0°1'12.0\"N, 30°29'55.0\"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: 0.02°", + "Step 4: Calculate longitude", + " Longitude: 30.49861°", + "FINAL ANSWER: 0.020000, 30.498610" + ] + }, + { + "task": "format_conversion", + "location_name": "Polonuevo", + "source_format": "DMS", + "source_string": "10°46'37.1\"N, 74°51'12.4\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "10.776970, -74.853440", + "latitude": 10.77697, + "longitude": -74.85344 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 10°46'37.1\"N, 74°51'12.4\"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: 10.77697°", + "Step 4: Calculate longitude", + " Longitude: -74.85344°", + "FINAL ANSWER: 10.776970, -74.853440" + ] + }, + { + "task": "format_conversion", + "location_name": "Riviera Beach", + "source_format": "decimal_degrees", + "source_string": "26.775340, -80.058100", + "target_format": "DMS", + "ground_truth": { + "target_string": "26°46'31.2\"N, 80°3'29.2\"W", + "latitude": 26.77534, + "longitude": -80.0581 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 26.775340, -80.058100", + " Latitude: 26.77534°", + " Longitude: -80.0581°", + "Step 2: Convert latitude to DMS", + " Degrees = 26", + " Minutes = int((26.775340 - 26) × 60) = 46", + " Seconds = ((26.775340 - 26) × 60 - 46) × 60 = 31.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 80", + " Minutes = 3", + " Seconds = 29.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 26°46'31.2\"N, 80°3'29.2\"W", + "FINAL ANSWER: 26°46'31.2\"N, 80°3'29.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Alengād", + "source_format": "decimal_degrees", + "source_string": "10.119010, 76.302260", + "target_format": "DMS", + "ground_truth": { + "target_string": "10°7'8.4\"N, 76°18'8.1\"E", + "latitude": 10.11901, + "longitude": 76.30226 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 10.119010, 76.302260", + " Latitude: 10.11901°", + " Longitude: 76.30226°", + "Step 2: Convert latitude to DMS", + " Degrees = 10", + " Minutes = int((10.119010 - 10) × 60) = 7", + " Seconds = ((10.119010 - 10) × 60 - 7) × 60 = 8.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 76", + " Minutes = 18", + " Seconds = 8.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 10°7'8.4\"N, 76°18'8.1\"E", + "FINAL ANSWER: 10°7'8.4\"N, 76°18'8.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Otofuke", + "source_format": "decimal_degrees", + "source_string": "42.991670, 143.200280", + "target_format": "DMS", + "ground_truth": { + "target_string": "42°59'30.0\"N, 143°12'1.0\"E", + "latitude": 42.99167, + "longitude": 143.20028 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 42.991670, 143.200280", + " Latitude: 42.99167°", + " Longitude: 143.20028°", + "Step 2: Convert latitude to DMS", + " Degrees = 42", + " Minutes = int((42.991670 - 42) × 60) = 59", + " Seconds = ((42.991670 - 42) × 60 - 59) × 60 = 30.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 143", + " Minutes = 12", + " Seconds = 1.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 42°59'30.0\"N, 143°12'1.0\"E", + "FINAL ANSWER: 42°59'30.0\"N, 143°12'1.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Fundão", + "source_format": "decimal_degrees", + "source_string": "-19.934080, -40.404730", + "target_format": "DMS", + "ground_truth": { + "target_string": "19°56'2.7\"S, 40°24'17.0\"W", + "latitude": -19.93408, + "longitude": -40.40473 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -19.934080, -40.404730", + " Latitude: -19.93408°", + " Longitude: -40.40473°", + "Step 2: Convert latitude to DMS", + " Degrees = 19", + " Minutes = int((19.934080 - 19) × 60) = 56", + " Seconds = ((19.934080 - 19) × 60 - 56) × 60 = 2.7", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 40", + " Minutes = 24", + " Seconds = 17.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 19°56'2.7\"S, 40°24'17.0\"W", + "FINAL ANSWER: 19°56'2.7\"S, 40°24'17.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Santa Monica", + "source_format": "DMS", + "source_string": "34°1'10.2\"N, 118°29'29.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "34.019490, -118.491380", + "latitude": 34.01949, + "longitude": -118.49138 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 34°1'10.2\"N, 118°29'29.0\"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: 34.01949°", + "Step 4: Calculate longitude", + " Longitude: -118.49138°", + "FINAL ANSWER: 34.019490, -118.491380" + ] + }, + { + "task": "format_conversion", + "location_name": "Marienthal", + "source_format": "decimal_degrees", + "source_string": "53.566670, 10.083330", + "target_format": "DMS", + "ground_truth": { + "target_string": "53°34'0.0\"N, 10°4'60.0\"E", + "latitude": 53.56667, + "longitude": 10.08333 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 53.566670, 10.083330", + " Latitude: 53.56667°", + " Longitude: 10.08333°", + "Step 2: Convert latitude to DMS", + " Degrees = 53", + " Minutes = int((53.566670 - 53) × 60) = 34", + " Seconds = ((53.566670 - 53) × 60 - 34) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 10", + " Minutes = 4", + " Seconds = 60.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 53°34'0.0\"N, 10°4'60.0\"E", + "FINAL ANSWER: 53°34'0.0\"N, 10°4'60.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Rāmavarappādu", + "source_format": "DMS", + "source_string": "16°31'15.1\"N, 80°40'50.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "16.520860, 80.680780", + "latitude": 16.52086, + "longitude": 80.68078 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 16°31'15.1\"N, 80°40'50.8\"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: 16.52086°", + "Step 4: Calculate longitude", + " Longitude: 80.68078°", + "FINAL ANSWER: 16.520860, 80.680780" + ] + }, + { + "task": "format_conversion", + "location_name": "Novopolotsk", + "source_format": "decimal_degrees", + "source_string": "55.526180, 28.593080", + "target_format": "DMS", + "ground_truth": { + "target_string": "55°31'34.2\"N, 28°35'35.1\"E", + "latitude": 55.52618, + "longitude": 28.59308 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 55.526180, 28.593080", + " Latitude: 55.52618°", + " Longitude: 28.59308°", + "Step 2: Convert latitude to DMS", + " Degrees = 55", + " Minutes = int((55.526180 - 55) × 60) = 31", + " Seconds = ((55.526180 - 55) × 60 - 31) × 60 = 34.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 28", + " Minutes = 35", + " Seconds = 35.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 55°31'34.2\"N, 28°35'35.1\"E", + "FINAL ANSWER: 55°31'34.2\"N, 28°35'35.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Pailin", + "source_format": "decimal_degrees", + "source_string": "12.848950, 102.609280", + "target_format": "DMS", + "ground_truth": { + "target_string": "12°50'56.2\"N, 102°36'33.4\"E", + "latitude": 12.84895, + "longitude": 102.60928 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 12.848950, 102.609280", + " Latitude: 12.84895°", + " Longitude: 102.60928°", + "Step 2: Convert latitude to DMS", + " Degrees = 12", + " Minutes = int((12.848950 - 12) × 60) = 50", + " Seconds = ((12.848950 - 12) × 60 - 50) × 60 = 56.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 102", + " Minutes = 36", + " Seconds = 33.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 12°50'56.2\"N, 102°36'33.4\"E", + "FINAL ANSWER: 12°50'56.2\"N, 102°36'33.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Hasselt", + "source_format": "decimal_degrees", + "source_string": "50.931060, 5.337810", + "target_format": "DMS", + "ground_truth": { + "target_string": "50°55'51.8\"N, 5°20'16.1\"E", + "latitude": 50.93106, + "longitude": 5.33781 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 50.931060, 5.337810", + " Latitude: 50.93106°", + " Longitude: 5.33781°", + "Step 2: Convert latitude to DMS", + " Degrees = 50", + " Minutes = int((50.931060 - 50) × 60) = 55", + " Seconds = ((50.931060 - 50) × 60 - 55) × 60 = 51.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 5", + " Minutes = 20", + " Seconds = 16.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 50°55'51.8\"N, 5°20'16.1\"E", + "FINAL ANSWER: 50°55'51.8\"N, 5°20'16.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Valparaiso", + "source_format": "DMS", + "source_string": "41°28'23.1\"N, 87°3'40.1\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "41.473090, -87.061140", + "latitude": 41.47309, + "longitude": -87.06114 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 41°28'23.1\"N, 87°3'40.1\"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: 41.47309°", + "Step 4: Calculate longitude", + " Longitude: -87.06114°", + "FINAL ANSWER: 41.473090, -87.061140" + ] + }, + { + "task": "format_conversion", + "location_name": "Bah-Bah", + "source_format": "DMS", + "source_string": "8°36'26.0\"N, 125°54'52.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "8.607220, 125.914440", + "latitude": 8.60722, + "longitude": 125.91444 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 8°36'26.0\"N, 125°54'52.0\"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: 8.60722°", + "Step 4: Calculate longitude", + " Longitude: 125.91444°", + "FINAL ANSWER: 8.607220, 125.914440" + ] + }, + { + "task": "format_conversion", + "location_name": "Szarvas", + "source_format": "DMS", + "source_string": "46°52'0.0\"N, 20°33'0.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "46.866670, 20.550000", + "latitude": 46.86667, + "longitude": 20.55 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 46°52'0.0\"N, 20°33'0.0\"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: 46.86667°", + "Step 4: Calculate longitude", + " Longitude: 20.55°", + "FINAL ANSWER: 46.866670, 20.550000" + ] + }, + { + "task": "format_conversion", + "location_name": "Thái Hòa", + "source_format": "DMS", + "source_string": "18°55'13.1\"N, 104°58'27.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "18.920310, 104.974410", + "latitude": 18.92031, + "longitude": 104.97441 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 18°55'13.1\"N, 104°58'27.9\"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: 18.92031°", + "Step 4: Calculate longitude", + " Longitude: 104.97441°", + "FINAL ANSWER: 18.920310, 104.974410" + ] + }, + { + "task": "format_conversion", + "location_name": "Darien", + "source_format": "decimal_degrees", + "source_string": "3.931350, -76.484810", + "target_format": "DMS", + "ground_truth": { + "target_string": "3°55'52.9\"N, 76°29'5.3\"W", + "latitude": 3.93135, + "longitude": -76.48481 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 3.931350, -76.484810", + " Latitude: 3.93135°", + " Longitude: -76.48481°", + "Step 2: Convert latitude to DMS", + " Degrees = 3", + " Minutes = int((3.931350 - 3) × 60) = 55", + " Seconds = ((3.931350 - 3) × 60 - 55) × 60 = 52.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 76", + " Minutes = 29", + " Seconds = 5.3", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 3°55'52.9\"N, 76°29'5.3\"W", + "FINAL ANSWER: 3°55'52.9\"N, 76°29'5.3\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Bergenfield", + "source_format": "DD", + "source_string": "40.927600, -73.997360", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°55'39.4\"N, 73°59'50.5\"W", + "latitude": 40.9276, + "longitude": -73.99736 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: 40.927600, -73.997360", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 40°55'39.4\"N, 73°59'50.5\"W", + "FINAL ANSWER: 40°55'39.4\"N, 73°59'50.5\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Azrou", + "source_format": "DMS", + "source_string": "33°26'3.9\"N, 5°13'16.5\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "33.434430, -5.221260", + "latitude": 33.43443, + "longitude": -5.22126 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 33°26'3.9\"N, 5°13'16.5\"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: 33.43443°", + "Step 4: Calculate longitude", + " Longitude: -5.22126°", + "FINAL ANSWER: 33.434430, -5.221260" + ] + }, + { + "task": "format_conversion", + "location_name": "Xiangyang", + "source_format": "DMS", + "source_string": "32°2'31.9\"N, 112°8'41.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "32.042200, 112.144790", + "latitude": 32.0422, + "longitude": 112.14479 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 32°2'31.9\"N, 112°8'41.2\"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: 32.0422°", + "Step 4: Calculate longitude", + " Longitude: 112.14479°", + "FINAL ANSWER: 32.042200, 112.144790" + ] + }, + { + "task": "format_conversion", + "location_name": "Sleaford", + "source_format": "DMS", + "source_string": "52°59'53.7\"N, 0°24'33.9\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "52.998260, -0.409410", + "latitude": 52.99826, + "longitude": -0.40941 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 52°59'53.7\"N, 0°24'33.9\"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: 52.99826°", + "Step 4: Calculate longitude", + " Longitude: -0.40941°", + "FINAL ANSWER: 52.998260, -0.409410" + ] + }, + { + "task": "format_conversion", + "location_name": "Savigliano", + "source_format": "DMS", + "source_string": "44°38'53.1\"N, 7°39'24.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "44.648080, 7.656770", + "latitude": 44.64808, + "longitude": 7.65677 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 44°38'53.1\"N, 7°39'24.4\"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: 44.64808°", + "Step 4: Calculate longitude", + " Longitude: 7.65677°", + "FINAL ANSWER: 44.648080, 7.656770" + ] + }, + { + "task": "format_conversion", + "location_name": "Varappuzha", + "source_format": "DMS", + "source_string": "10°4'33.2\"N, 76°16'17.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "10.075890, 76.271520", + "latitude": 10.07589, + "longitude": 76.27152 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 10°4'33.2\"N, 76°16'17.5\"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: 10.07589°", + "Step 4: Calculate longitude", + " Longitude: 76.27152°", + "FINAL ANSWER: 10.075890, 76.271520" + ] + }, + { + "task": "format_conversion", + "location_name": "Sidi Akkacha", + "source_format": "DMS", + "source_string": "36°27'53.0\"N, 1°18'9.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "36.464720, 1.302580", + "latitude": 36.46472, + "longitude": 1.30258 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 36°27'53.0\"N, 1°18'9.3\"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: 36.46472°", + "Step 4: Calculate longitude", + " Longitude: 1.30258°", + "FINAL ANSWER: 36.464720, 1.302580" + ] + }, + { + "task": "format_conversion", + "location_name": "Maastricht", + "source_format": "DMS", + "source_string": "50°50'54.0\"N, 5°41'20.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "50.848330, 5.688890", + "latitude": 50.84833, + "longitude": 5.68889 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 50°50'54.0\"N, 5°41'20.0\"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: 50.84833°", + "Step 4: Calculate longitude", + " Longitude: 5.68889°", + "FINAL ANSWER: 50.848330, 5.688890" + ] + }, + { + "task": "format_conversion", + "location_name": "Plainview", + "source_format": "DMS", + "source_string": "34°11'5.2\"N, 101°42'24.6\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "34.184790, -101.706840", + "latitude": 34.18479, + "longitude": -101.70684 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 34°11'5.2\"N, 101°42'24.6\"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: 34.18479°", + "Step 4: Calculate longitude", + " Longitude: -101.70684°", + "FINAL ANSWER: 34.184790, -101.706840" + ] + }, + { + "task": "format_conversion", + "location_name": "Leander", + "source_format": "DMS", + "source_string": "30°34'43.7\"N, 97°51'11.1\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "30.578810, -97.853070", + "latitude": 30.57881, + "longitude": -97.85307 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 30°34'43.7\"N, 97°51'11.1\"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: 30.57881°", + "Step 4: Calculate longitude", + " Longitude: -97.85307°", + "FINAL ANSWER: 30.578810, -97.853070" + ] + }, + { + "task": "format_conversion", + "location_name": "Warnes", + "source_format": "DMS", + "source_string": "17°30'58.7\"S, 63°10'4.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-17.516300, -63.167780", + "latitude": -17.5163, + "longitude": -63.16778 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 17°30'58.7\"S, 63°10'4.0\"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: -17.5163°", + "Step 4: Calculate longitude", + " Longitude: -63.16778°", + "FINAL ANSWER: -17.516300, -63.167780" + ] + }, + { + "task": "format_conversion", + "location_name": "Bukittinggi", + "source_format": "DMS", + "source_string": "0°18'32.7\"S, 100°22'14.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-0.309070, 100.370550", + "latitude": -0.30907, + "longitude": 100.37055 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 0°18'32.7\"S, 100°22'14.0\"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: -0.30907°", + "Step 4: Calculate longitude", + " Longitude: 100.37055°", + "FINAL ANSWER: -0.309070, 100.370550" + ] + }, + { + "task": "format_conversion", + "location_name": "Rissen", + "source_format": "decimal_degrees", + "source_string": "53.584530, 9.765940", + "target_format": "DMS", + "ground_truth": { + "target_string": "53°35'4.3\"N, 9°45'57.4\"E", + "latitude": 53.58453, + "longitude": 9.76594 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 53.584530, 9.765940", + " Latitude: 53.58453°", + " Longitude: 9.76594°", + "Step 2: Convert latitude to DMS", + " Degrees = 53", + " Minutes = int((53.584530 - 53) × 60) = 35", + " Seconds = ((53.584530 - 53) × 60 - 35) × 60 = 4.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 9", + " Minutes = 45", + " Seconds = 57.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 53°35'4.3\"N, 9°45'57.4\"E", + "FINAL ANSWER: 53°35'4.3\"N, 9°45'57.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Salcedo", + "source_format": "decimal_degrees", + "source_string": "19.377660, -70.417190", + "target_format": "DMS", + "ground_truth": { + "target_string": "19°22'39.6\"N, 70°25'1.9\"W", + "latitude": 19.37766, + "longitude": -70.41719 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 19.377660, -70.417190", + " Latitude: 19.37766°", + " Longitude: -70.41719°", + "Step 2: Convert latitude to DMS", + " Degrees = 19", + " Minutes = int((19.377660 - 19) × 60) = 22", + " Seconds = ((19.377660 - 19) × 60 - 22) × 60 = 39.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 70", + " Minutes = 25", + " Seconds = 1.9", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 19°22'39.6\"N, 70°25'1.9\"W", + "FINAL ANSWER: 19°22'39.6\"N, 70°25'1.9\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Itajaí", + "source_format": "decimal_degrees", + "source_string": "-26.907780, -48.661940", + "target_format": "DMS", + "ground_truth": { + "target_string": "26°54'28.0\"S, 48°39'43.0\"W", + "latitude": -26.90778, + "longitude": -48.66194 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -26.907780, -48.661940", + " Latitude: -26.90778°", + " Longitude: -48.66194°", + "Step 2: Convert latitude to DMS", + " Degrees = 26", + " Minutes = int((26.907780 - 26) × 60) = 54", + " Seconds = ((26.907780 - 26) × 60 - 54) × 60 = 28.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 48", + " Minutes = 39", + " Seconds = 43.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 26°54'28.0\"S, 48°39'43.0\"W", + "FINAL ANSWER: 26°54'28.0\"S, 48°39'43.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Villa del Prado 2da Sección", + "source_format": "decimal_degrees", + "source_string": "32.423890, -116.971670", + "target_format": "DMS", + "ground_truth": { + "target_string": "32°25'26.0\"N, 116°58'18.0\"W", + "latitude": 32.42389, + "longitude": -116.97167 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 32.423890, -116.971670", + " Latitude: 32.42389°", + " Longitude: -116.97167°", + "Step 2: Convert latitude to DMS", + " Degrees = 32", + " Minutes = int((32.423890 - 32) × 60) = 25", + " Seconds = ((32.423890 - 32) × 60 - 25) × 60 = 26.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 116", + " Minutes = 58", + " Seconds = 18.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 32°25'26.0\"N, 116°58'18.0\"W", + "FINAL ANSWER: 32°25'26.0\"N, 116°58'18.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Zipaquirá", + "source_format": "DMS", + "source_string": "5°1'19.5\"N, 74°0'17.3\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "5.022080, -74.004810", + "latitude": 5.02208, + "longitude": -74.00481 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 5°1'19.5\"N, 74°0'17.3\"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: 5.02208°", + "Step 4: Calculate longitude", + " Longitude: -74.00481°", + "FINAL ANSWER: 5.022080, -74.004810" + ] + }, + { + "task": "format_conversion", + "location_name": "Ancona", + "source_format": "decimal_degrees", + "source_string": "43.607170, 13.510300", + "target_format": "DMS", + "ground_truth": { + "target_string": "43°36'25.8\"N, 13°30'37.1\"E", + "latitude": 43.60717, + "longitude": 13.5103 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 43.607170, 13.510300", + " Latitude: 43.60717°", + " Longitude: 13.5103°", + "Step 2: Convert latitude to DMS", + " Degrees = 43", + " Minutes = int((43.607170 - 43) × 60) = 36", + " Seconds = ((43.607170 - 43) × 60 - 36) × 60 = 25.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 13", + " Minutes = 30", + " Seconds = 37.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 43°36'25.8\"N, 13°30'37.1\"E", + "FINAL ANSWER: 43°36'25.8\"N, 13°30'37.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Fonte Boa", + "source_format": "decimal_degrees", + "source_string": "-2.513890, -66.091670", + "target_format": "DMS", + "ground_truth": { + "target_string": "2°30'50.0\"S, 66°5'30.0\"W", + "latitude": -2.51389, + "longitude": -66.09167 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -2.513890, -66.091670", + " Latitude: -2.51389°", + " Longitude: -66.09167°", + "Step 2: Convert latitude to DMS", + " Degrees = 2", + " Minutes = int((2.513890 - 2) × 60) = 30", + " Seconds = ((2.513890 - 2) × 60 - 30) × 60 = 50.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 66", + " Minutes = 5", + " Seconds = 30.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 2°30'50.0\"S, 66°5'30.0\"W", + "FINAL ANSWER: 2°30'50.0\"S, 66°5'30.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Geretsried", + "source_format": "DMS", + "source_string": "47°51'27.9\"N, 11°28'49.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "47.857750, 11.480540", + "latitude": 47.85775, + "longitude": 11.48054 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 47°51'27.9\"N, 11°28'49.9\"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: 47.85775°", + "Step 4: Calculate longitude", + " Longitude: 11.48054°", + "FINAL ANSWER: 47.857750, 11.480540" + ] + }, + { + "task": "format_conversion", + "location_name": "Heemskerk", + "source_format": "DD", + "source_string": "52.511080, 4.671650", + "target_format": "DMS", + "ground_truth": { + "target_string": "52°30'39.9\"N, 4°40'17.9\"E", + "latitude": 52.51108, + "longitude": 4.67165 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: 52.511080, 4.671650", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 52°30'39.9\"N, 4°40'17.9\"E", + "FINAL ANSWER: 52°30'39.9\"N, 4°40'17.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Iskandar Puteri", + "source_format": "decimal_degrees", + "source_string": "1.393240, 103.623220", + "target_format": "DMS", + "ground_truth": { + "target_string": "1°23'35.7\"N, 103°37'23.6\"E", + "latitude": 1.39324, + "longitude": 103.62322 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 1.393240, 103.623220", + " Latitude: 1.39324°", + " Longitude: 103.62322°", + "Step 2: Convert latitude to DMS", + " Degrees = 1", + " Minutes = int((1.393240 - 1) × 60) = 23", + " Seconds = ((1.393240 - 1) × 60 - 23) × 60 = 35.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 103", + " Minutes = 37", + " Seconds = 23.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 1°23'35.7\"N, 103°37'23.6\"E", + "FINAL ANSWER: 1°23'35.7\"N, 103°37'23.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Ŭndŏk", + "source_format": "DMS", + "source_string": "42°31'7.6\"N, 130°20'5.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "42.518780, 130.334790", + "latitude": 42.51878, + "longitude": 130.33479 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 42°31'7.6\"N, 130°20'5.2\"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: 42.51878°", + "Step 4: Calculate longitude", + " Longitude: 130.33479°", + "FINAL ANSWER: 42.518780, 130.334790" + ] + }, + { + "task": "format_conversion", + "location_name": "Sinnar", + "source_format": "decimal_degrees", + "source_string": "19.845050, 73.998660", + "target_format": "DMS", + "ground_truth": { + "target_string": "19°50'42.2\"N, 73°59'55.2\"E", + "latitude": 19.84505, + "longitude": 73.99866 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 19.845050, 73.998660", + " Latitude: 19.84505°", + " Longitude: 73.99866°", + "Step 2: Convert latitude to DMS", + " Degrees = 19", + " Minutes = int((19.845050 - 19) × 60) = 50", + " Seconds = ((19.845050 - 19) × 60 - 50) × 60 = 42.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 73", + " Minutes = 59", + " Seconds = 55.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 19°50'42.2\"N, 73°59'55.2\"E", + "FINAL ANSWER: 19°50'42.2\"N, 73°59'55.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Tall Rif‘at", + "source_format": "decimal_degrees", + "source_string": "36.472290, 37.094710", + "target_format": "DMS", + "ground_truth": { + "target_string": "36°28'20.2\"N, 37°5'41.0\"E", + "latitude": 36.47229, + "longitude": 37.09471 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 36.472290, 37.094710", + " Latitude: 36.47229°", + " Longitude: 37.09471°", + "Step 2: Convert latitude to DMS", + " Degrees = 36", + " Minutes = int((36.472290 - 36) × 60) = 28", + " Seconds = ((36.472290 - 36) × 60 - 28) × 60 = 20.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 37", + " Minutes = 5", + " Seconds = 41.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 36°28'20.2\"N, 37°5'41.0\"E", + "FINAL ANSWER: 36°28'20.2\"N, 37°5'41.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Hamilton", + "source_format": "decimal_degrees", + "source_string": "39.399500, -84.561340", + "target_format": "DMS", + "ground_truth": { + "target_string": "39°23'58.2\"N, 84°33'40.8\"W", + "latitude": 39.3995, + "longitude": -84.56134 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 39.399500, -84.561340", + " Latitude: 39.3995°", + " Longitude: -84.56134°", + "Step 2: Convert latitude to DMS", + " Degrees = 39", + " Minutes = int((39.399500 - 39) × 60) = 23", + " Seconds = ((39.399500 - 39) × 60 - 23) × 60 = 58.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 84", + " Minutes = 33", + " Seconds = 40.8", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 39°23'58.2\"N, 84°33'40.8\"W", + "FINAL ANSWER: 39°23'58.2\"N, 84°33'40.8\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Pālitāna", + "source_format": "DMS", + "source_string": "21°31'30.7\"N, 71°49'23.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "21.525190, 71.823090", + "latitude": 21.52519, + "longitude": 71.82309 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 21°31'30.7\"N, 71°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: 21.52519°", + "Step 4: Calculate longitude", + " Longitude: 71.82309°", + "FINAL ANSWER: 21.525190, 71.823090" + ] + }, + { + "task": "format_conversion", + "location_name": "Sungurlu", + "source_format": "decimal_degrees", + "source_string": "40.167500, 34.373890", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°10'3.0\"N, 34°22'26.0\"E", + "latitude": 40.1675, + "longitude": 34.37389 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.167500, 34.373890", + " Latitude: 40.1675°", + " Longitude: 34.37389°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.167500 - 40) × 60) = 10", + " Seconds = ((40.167500 - 40) × 60 - 10) × 60 = 3.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 34", + " Minutes = 22", + " Seconds = 26.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 40°10'3.0\"N, 34°22'26.0\"E", + "FINAL ANSWER: 40°10'3.0\"N, 34°22'26.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Lawrenceville", + "source_format": "DMS", + "source_string": "33°57'22.4\"N, 83°59'16.7\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "33.956210, -83.987960", + "latitude": 33.95621, + "longitude": -83.98796 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 33°57'22.4\"N, 83°59'16.7\"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: 33.95621°", + "Step 4: Calculate longitude", + " Longitude: -83.98796°", + "FINAL ANSWER: 33.956210, -83.987960" + ] + }, + { + "task": "format_conversion", + "location_name": "Sambalpur", + "source_format": "decimal_degrees", + "source_string": "21.465270, 83.975730", + "target_format": "DMS", + "ground_truth": { + "target_string": "21°27'55.0\"N, 83°58'32.6\"E", + "latitude": 21.46527, + "longitude": 83.97573 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 21.465270, 83.975730", + " Latitude: 21.46527°", + " Longitude: 83.97573°", + "Step 2: Convert latitude to DMS", + " Degrees = 21", + " Minutes = int((21.465270 - 21) × 60) = 27", + " Seconds = ((21.465270 - 21) × 60 - 27) × 60 = 55.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 83", + " Minutes = 58", + " Seconds = 32.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 21°27'55.0\"N, 83°58'32.6\"E", + "FINAL ANSWER: 21°27'55.0\"N, 83°58'32.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Touba", + "source_format": "DMS", + "source_string": "8°16'60.0\"N, 7°40'60.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "8.283330, -7.683330", + "latitude": 8.28333, + "longitude": -7.68333 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 8°16'60.0\"N, 7°40'60.0\"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: 8.28333°", + "Step 4: Calculate longitude", + " Longitude: -7.68333°", + "FINAL ANSWER: 8.283330, -7.683330" + ] + }, + { + "task": "format_conversion", + "location_name": "Visnagar", + "source_format": "DMS", + "source_string": "23°41'54.8\"N, 72°33'7.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "23.698550, 72.552100", + "latitude": 23.69855, + "longitude": 72.5521 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 23°41'54.8\"N, 72°33'7.6\"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: 23.69855°", + "Step 4: Calculate longitude", + " Longitude: 72.5521°", + "FINAL ANSWER: 23.698550, 72.552100" + ] + }, + { + "task": "format_conversion", + "location_name": "Lixian", + "source_format": "decimal_degrees", + "source_string": "34.190000, 105.172500", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°11'24.0\"N, 105°10'21.0\"E", + "latitude": 34.19, + "longitude": 105.1725 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 34.190000, 105.172500", + " Latitude: 34.19°", + " Longitude: 105.1725°", + "Step 2: Convert latitude to DMS", + " Degrees = 34", + " Minutes = int((34.190000 - 34) × 60) = 11", + " Seconds = ((34.190000 - 34) × 60 - 11) × 60 = 24.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 105", + " Minutes = 10", + " Seconds = 21.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 34°11'24.0\"N, 105°10'21.0\"E", + "FINAL ANSWER: 34°11'24.0\"N, 105°10'21.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "San Agustín", + "source_format": "DMS", + "source_string": "20°32'51.8\"N, 103°28'1.7\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "20.547720, -103.467140", + "latitude": 20.54772, + "longitude": -103.46714 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 20°32'51.8\"N, 103°28'1.7\"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: 20.54772°", + "Step 4: Calculate longitude", + " Longitude: -103.46714°", + "FINAL ANSWER: 20.547720, -103.467140" + ] + }, + { + "task": "format_conversion", + "location_name": "Manbij", + "source_format": "decimal_degrees", + "source_string": "36.528150, 37.954950", + "target_format": "DMS", + "ground_truth": { + "target_string": "36°31'41.3\"N, 37°57'17.8\"E", + "latitude": 36.52815, + "longitude": 37.95495 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 36.528150, 37.954950", + " Latitude: 36.52815°", + " Longitude: 37.95495°", + "Step 2: Convert latitude to DMS", + " Degrees = 36", + " Minutes = int((36.528150 - 36) × 60) = 31", + " Seconds = ((36.528150 - 36) × 60 - 31) × 60 = 41.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 37", + " Minutes = 57", + " Seconds = 17.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 36°31'41.3\"N, 37°57'17.8\"E", + "FINAL ANSWER: 36°31'41.3\"N, 37°57'17.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Brusciano", + "source_format": "decimal_degrees", + "source_string": "40.922370, 14.423860", + "target_format": "DMS", + "ground_truth": { + "target_string": "40°55'20.5\"N, 14°25'25.9\"E", + "latitude": 40.92237, + "longitude": 14.42386 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 40.922370, 14.423860", + " Latitude: 40.92237°", + " Longitude: 14.42386°", + "Step 2: Convert latitude to DMS", + " Degrees = 40", + " Minutes = int((40.922370 - 40) × 60) = 55", + " Seconds = ((40.922370 - 40) × 60 - 55) × 60 = 20.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 14", + " Minutes = 25", + " Seconds = 25.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 40°55'20.5\"N, 14°25'25.9\"E", + "FINAL ANSWER: 40°55'20.5\"N, 14°25'25.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Luis Eduardo Magalhães", + "source_format": "decimal_degrees", + "source_string": "-12.090860, -45.785010", + "target_format": "DMS", + "ground_truth": { + "target_string": "12°5'27.1\"S, 45°47'6.0\"W", + "latitude": -12.09086, + "longitude": -45.78501 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -12.090860, -45.785010", + " Latitude: -12.09086°", + " Longitude: -45.78501°", + "Step 2: Convert latitude to DMS", + " Degrees = 12", + " Minutes = int((12.090860 - 12) × 60) = 5", + " Seconds = ((12.090860 - 12) × 60 - 5) × 60 = 27.1", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 45", + " Minutes = 47", + " Seconds = 6.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 12°5'27.1\"S, 45°47'6.0\"W", + "FINAL ANSWER: 12°5'27.1\"S, 45°47'6.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Rudow", + "source_format": "decimal_degrees", + "source_string": "52.424070, 13.485290", + "target_format": "DMS", + "ground_truth": { + "target_string": "52°25'26.7\"N, 13°29'7.0\"E", + "latitude": 52.42407, + "longitude": 13.48529 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 52.424070, 13.485290", + " Latitude: 52.42407°", + " Longitude: 13.48529°", + "Step 2: Convert latitude to DMS", + " Degrees = 52", + " Minutes = int((52.424070 - 52) × 60) = 25", + " Seconds = ((52.424070 - 52) × 60 - 25) × 60 = 26.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 13", + " Minutes = 29", + " Seconds = 7.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 52°25'26.7\"N, 13°29'7.0\"E", + "FINAL ANSWER: 52°25'26.7\"N, 13°29'7.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Amba Giorgis", + "source_format": "DMS", + "source_string": "12°46'8.0\"N, 37°37'26.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "12.768890, 37.623890", + "latitude": 12.76889, + "longitude": 37.62389 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 12°46'8.0\"N, 37°37'26.0\"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: 12.76889°", + "Step 4: Calculate longitude", + " Longitude: 37.62389°", + "FINAL ANSWER: 12.768890, 37.623890" + ] + }, + { + "task": "format_conversion", + "location_name": "Alto Alegre", + "source_format": "DD", + "source_string": "2.895830, -61.497500", + "target_format": "DMS", + "ground_truth": { + "target_string": "2°53'45.0\"N, 61°29'51.0\"W", + "latitude": 2.89583, + "longitude": -61.4975 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: 2.895830, -61.497500", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 2°53'45.0\"N, 61°29'51.0\"W", + "FINAL ANSWER: 2°53'45.0\"N, 61°29'51.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Schweinfurt", + "source_format": "DD", + "source_string": "50.049370, 10.221750", + "target_format": "DMS", + "ground_truth": { + "target_string": "50°2'57.7\"N, 10°13'18.3\"E", + "latitude": 50.04937, + "longitude": 10.22175 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: 50.049370, 10.221750", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 50°2'57.7\"N, 10°13'18.3\"E", + "FINAL ANSWER: 50°2'57.7\"N, 10°13'18.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Settiyārpatti", + "source_format": "decimal_degrees", + "source_string": "9.393500, 77.493480", + "target_format": "DMS", + "ground_truth": { + "target_string": "9°23'36.6\"N, 77°29'36.5\"E", + "latitude": 9.3935, + "longitude": 77.49348 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 9.393500, 77.493480", + " Latitude: 9.3935°", + " Longitude: 77.49348°", + "Step 2: Convert latitude to DMS", + " Degrees = 9", + " Minutes = int((9.393500 - 9) × 60) = 23", + " Seconds = ((9.393500 - 9) × 60 - 23) × 60 = 36.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 77", + " Minutes = 29", + " Seconds = 36.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 9°23'36.6\"N, 77°29'36.5\"E", + "FINAL ANSWER: 9°23'36.6\"N, 77°29'36.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Pikalëvo", + "source_format": "decimal_degrees", + "source_string": "59.518330, 34.166390", + "target_format": "DMS", + "ground_truth": { + "target_string": "59°31'6.0\"N, 34°9'59.0\"E", + "latitude": 59.51833, + "longitude": 34.16639 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 59.518330, 34.166390", + " Latitude: 59.51833°", + " Longitude: 34.16639°", + "Step 2: Convert latitude to DMS", + " Degrees = 59", + " Minutes = int((59.518330 - 59) × 60) = 31", + " Seconds = ((59.518330 - 59) × 60 - 31) × 60 = 6.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 34", + " Minutes = 9", + " Seconds = 59.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 59°31'6.0\"N, 34°9'59.0\"E", + "FINAL ANSWER: 59°31'6.0\"N, 34°9'59.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Tillmans Corner", + "source_format": "DMS", + "source_string": "30°35'24.7\"N, 88°10'15.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "30.590190, -88.170840", + "latitude": 30.59019, + "longitude": -88.17084 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 30°35'24.7\"N, 88°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: 30.59019°", + "Step 4: Calculate longitude", + " Longitude: -88.17084°", + "FINAL ANSWER: 30.590190, -88.170840" + ] + }, + { + "task": "format_conversion", + "location_name": "Gibraltar", + "source_format": "decimal_degrees", + "source_string": "36.144740, -5.352570", + "target_format": "DMS", + "ground_truth": { + "target_string": "36°8'41.1\"N, 5°21'9.3\"W", + "latitude": 36.14474, + "longitude": -5.35257 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 36.144740, -5.352570", + " Latitude: 36.14474°", + " Longitude: -5.35257°", + "Step 2: Convert latitude to DMS", + " Degrees = 36", + " Minutes = int((36.144740 - 36) × 60) = 8", + " Seconds = ((36.144740 - 36) × 60 - 8) × 60 = 41.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 5", + " Minutes = 21", + " Seconds = 9.3", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 36°8'41.1\"N, 5°21'9.3\"W", + "FINAL ANSWER: 36°8'41.1\"N, 5°21'9.3\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Xinxiang", + "source_format": "DMS", + "source_string": "35°11'25.2\"N, 113°48'5.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "35.190330, 113.801510", + "latitude": 35.19033, + "longitude": 113.80151 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 35°11'25.2\"N, 113°48'5.4\"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: 35.19033°", + "Step 4: Calculate longitude", + " Longitude: 113.80151°", + "FINAL ANSWER: 35.190330, 113.801510" + ] + }, + { + "task": "format_conversion", + "location_name": "Acacias", + "source_format": "DMS", + "source_string": "40°24'3.9\"N, 3°42'26.1\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.401070, -3.707260", + "latitude": 40.40107, + "longitude": -3.70726 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°24'3.9\"N, 3°42'26.1\"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: 40.40107°", + "Step 4: Calculate longitude", + " Longitude: -3.70726°", + "FINAL ANSWER: 40.401070, -3.707260" + ] + }, + { + "task": "format_conversion", + "location_name": "West Lawn", + "source_format": "DMS", + "source_string": "41°46'22.1\"N, 87°43'20.2\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "41.772810, -87.722270", + "latitude": 41.77281, + "longitude": -87.72227 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 41°46'22.1\"N, 87°43'20.2\"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: 41.77281°", + "Step 4: Calculate longitude", + " Longitude: -87.72227°", + "FINAL ANSWER: 41.772810, -87.722270" + ] + }, + { + "task": "format_conversion", + "location_name": "Juan Aldama", + "source_format": "DMS", + "source_string": "24°17'26.6\"N, 103°23'36.2\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "24.290720, -103.393390", + "latitude": 24.29072, + "longitude": -103.39339 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 24°17'26.6\"N, 103°23'36.2\"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: 24.29072°", + "Step 4: Calculate longitude", + " Longitude: -103.39339°", + "FINAL ANSWER: 24.290720, -103.393390" + ] + }, + { + "task": "format_conversion", + "location_name": "Kendale Lakes", + "source_format": "decimal_degrees", + "source_string": "25.708160, -80.407000", + "target_format": "DMS", + "ground_truth": { + "target_string": "25°42'29.4\"N, 80°24'25.2\"W", + "latitude": 25.70816, + "longitude": -80.407 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 25.708160, -80.407000", + " Latitude: 25.70816°", + " Longitude: -80.407°", + "Step 2: Convert latitude to DMS", + " Degrees = 25", + " Minutes = int((25.708160 - 25) × 60) = 42", + " Seconds = ((25.708160 - 25) × 60 - 42) × 60 = 29.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 80", + " Minutes = 24", + " Seconds = 25.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 25°42'29.4\"N, 80°24'25.2\"W", + "FINAL ANSWER: 25°42'29.4\"N, 80°24'25.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Aku", + "source_format": "DMS", + "source_string": "6°42'32.5\"N, 7°19'5.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "6.709020, 7.318260", + "latitude": 6.70902, + "longitude": 7.31826 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 6°42'32.5\"N, 7°19'5.7\"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: 6.70902°", + "Step 4: Calculate longitude", + " Longitude: 7.31826°", + "FINAL ANSWER: 6.709020, 7.318260" + ] + }, + { + "task": "format_conversion", + "location_name": "Mãe do Rio", + "source_format": "decimal_degrees", + "source_string": "-2.046390, -47.550560", + "target_format": "DMS", + "ground_truth": { + "target_string": "2°2'47.0\"S, 47°33'2.0\"W", + "latitude": -2.04639, + "longitude": -47.55056 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -2.046390, -47.550560", + " Latitude: -2.04639°", + " Longitude: -47.55056°", + "Step 2: Convert latitude to DMS", + " Degrees = 2", + " Minutes = int((2.046390 - 2) × 60) = 2", + " Seconds = ((2.046390 - 2) × 60 - 2) × 60 = 47.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 47", + " Minutes = 33", + " Seconds = 2.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 2°2'47.0\"S, 47°33'2.0\"W", + "FINAL ANSWER: 2°2'47.0\"S, 47°33'2.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Umm Ruwaba", + "source_format": "DMS", + "source_string": "12°54'22.0\"N, 31°12'56.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "12.906100, 31.215800", + "latitude": 12.9061, + "longitude": 31.2158 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 12°54'22.0\"N, 31°12'56.9\"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: 12.9061°", + "Step 4: Calculate longitude", + " Longitude: 31.2158°", + "FINAL ANSWER: 12.906100, 31.215800" + ] + }, + { + "task": "format_conversion", + "location_name": "Anna", + "source_format": "decimal_degrees", + "source_string": "51.490070, 40.422360", + "target_format": "DMS", + "ground_truth": { + "target_string": "51°29'24.3\"N, 40°25'20.5\"E", + "latitude": 51.49007, + "longitude": 40.42236 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 51.490070, 40.422360", + " Latitude: 51.49007°", + " Longitude: 40.42236°", + "Step 2: Convert latitude to DMS", + " Degrees = 51", + " Minutes = int((51.490070 - 51) × 60) = 29", + " Seconds = ((51.490070 - 51) × 60 - 29) × 60 = 24.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 40", + " Minutes = 25", + " Seconds = 20.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 51°29'24.3\"N, 40°25'20.5\"E", + "FINAL ANSWER: 51°29'24.3\"N, 40°25'20.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Gela", + "source_format": "DMS", + "source_string": "37°4'25.7\"N, 14°14'25.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "37.073810, 14.240380", + "latitude": 37.07381, + "longitude": 14.24038 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 37°4'25.7\"N, 14°14'25.4\"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: 37.07381°", + "Step 4: Calculate longitude", + " Longitude: 14.24038°", + "FINAL ANSWER: 37.073810, 14.240380" + ] + }, + { + "task": "format_conversion", + "location_name": "Hongguang Qidui", + "source_format": "decimal_degrees", + "source_string": "38.733220, 106.287210", + "target_format": "DMS", + "ground_truth": { + "target_string": "38°43'59.6\"N, 106°17'14.0\"E", + "latitude": 38.73322, + "longitude": 106.28721 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 38.733220, 106.287210", + " Latitude: 38.73322°", + " Longitude: 106.28721°", + "Step 2: Convert latitude to DMS", + " Degrees = 38", + " Minutes = int((38.733220 - 38) × 60) = 43", + " Seconds = ((38.733220 - 38) × 60 - 43) × 60 = 59.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 106", + " Minutes = 17", + " Seconds = 14.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 38°43'59.6\"N, 106°17'14.0\"E", + "FINAL ANSWER: 38°43'59.6\"N, 106°17'14.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Grottaferrata", + "source_format": "decimal_degrees", + "source_string": "41.786640, 12.671440", + "target_format": "DMS", + "ground_truth": { + "target_string": "41°47'11.9\"N, 12°40'17.2\"E", + "latitude": 41.78664, + "longitude": 12.67144 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 41.786640, 12.671440", + " Latitude: 41.78664°", + " Longitude: 12.67144°", + "Step 2: Convert latitude to DMS", + " Degrees = 41", + " Minutes = int((41.786640 - 41) × 60) = 47", + " Seconds = ((41.786640 - 41) × 60 - 47) × 60 = 11.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 12", + " Minutes = 40", + " Seconds = 17.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 41°47'11.9\"N, 12°40'17.2\"E", + "FINAL ANSWER: 41°47'11.9\"N, 12°40'17.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Serangoon", + "source_format": "decimal_degrees", + "source_string": "1.362780, 103.897500", + "target_format": "DMS", + "ground_truth": { + "target_string": "1°21'46.0\"N, 103°53'51.0\"E", + "latitude": 1.36278, + "longitude": 103.8975 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 1.362780, 103.897500", + " Latitude: 1.36278°", + " Longitude: 103.8975°", + "Step 2: Convert latitude to DMS", + " Degrees = 1", + " Minutes = int((1.362780 - 1) × 60) = 21", + " Seconds = ((1.362780 - 1) × 60 - 21) × 60 = 46.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 103", + " Minutes = 53", + " Seconds = 51.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 1°21'46.0\"N, 103°53'51.0\"E", + "FINAL ANSWER: 1°21'46.0\"N, 103°53'51.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Biantang", + "source_format": "DMS", + "source_string": "34°25'23.7\"N, 117°38'43.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "34.423250, 117.645410", + "latitude": 34.42325, + "longitude": 117.64541 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 34°25'23.7\"N, 117°38'43.5\"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: 34.42325°", + "Step 4: Calculate longitude", + " Longitude: 117.64541°", + "FINAL ANSWER: 34.423250, 117.645410" + ] + }, + { + "task": "format_conversion", + "location_name": "Akhisar", + "source_format": "decimal_degrees", + "source_string": "38.918520, 27.840060", + "target_format": "DMS", + "ground_truth": { + "target_string": "38°55'6.7\"N, 27°50'24.2\"E", + "latitude": 38.91852, + "longitude": 27.84006 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 38.918520, 27.840060", + " Latitude: 38.91852°", + " Longitude: 27.84006°", + "Step 2: Convert latitude to DMS", + " Degrees = 38", + " Minutes = int((38.918520 - 38) × 60) = 55", + " Seconds = ((38.918520 - 38) × 60 - 55) × 60 = 6.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 27", + " Minutes = 50", + " Seconds = 24.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 38°55'6.7\"N, 27°50'24.2\"E", + "FINAL ANSWER: 38°55'6.7\"N, 27°50'24.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Inam Maniyachi", + "source_format": "decimal_degrees", + "source_string": "9.170560, 77.851150", + "target_format": "DMS", + "ground_truth": { + "target_string": "9°10'14.0\"N, 77°51'4.1\"E", + "latitude": 9.17056, + "longitude": 77.85115 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 9.170560, 77.851150", + " Latitude: 9.17056°", + " Longitude: 77.85115°", + "Step 2: Convert latitude to DMS", + " Degrees = 9", + " Minutes = int((9.170560 - 9) × 60) = 10", + " Seconds = ((9.170560 - 9) × 60 - 10) × 60 = 14.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 77", + " Minutes = 51", + " Seconds = 4.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 9°10'14.0\"N, 77°51'4.1\"E", + "FINAL ANSWER: 9°10'14.0\"N, 77°51'4.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Saipan", + "source_format": "DMS", + "source_string": "15°12'44.4\"N, 145°45'16.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "15.212330, 145.754500", + "latitude": 15.21233, + "longitude": 145.7545 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 15°12'44.4\"N, 145°45'16.2\"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: 15.21233°", + "Step 4: Calculate longitude", + " Longitude: 145.7545°", + "FINAL ANSWER: 15.212330, 145.754500" + ] + }, + { + "task": "format_conversion", + "location_name": "Leland", + "source_format": "DMS", + "source_string": "34°15'22.6\"N, 78°2'41.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "34.256280, -78.044710", + "latitude": 34.25628, + "longitude": -78.04471 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 34°15'22.6\"N, 78°2'41.0\"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: 34.25628°", + "Step 4: Calculate longitude", + " Longitude: -78.04471°", + "FINAL ANSWER: 34.256280, -78.044710" + ] + }, + { + "task": "format_conversion", + "location_name": "Yelahanka", + "source_format": "DMS", + "source_string": "13°6'2.6\"N, 77°35'46.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "13.100730, 77.596320", + "latitude": 13.10073, + "longitude": 77.59632 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 13°6'2.6\"N, 77°35'46.8\"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: 13.10073°", + "Step 4: Calculate longitude", + " Longitude: 77.59632°", + "FINAL ANSWER: 13.100730, 77.596320" + ] + }, + { + "task": "format_conversion", + "location_name": "Leça do Bailio", + "source_format": "DMS", + "source_string": "41°12'43.2\"N, 8°38'3.2\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "41.212010, -8.634220", + "latitude": 41.21201, + "longitude": -8.63422 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 41°12'43.2\"N, 8°38'3.2\"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: 41.21201°", + "Step 4: Calculate longitude", + " Longitude: -8.63422°", + "FINAL ANSWER: 41.212010, -8.634220" + ] + }, + { + "task": "format_conversion", + "location_name": "Palafrugell", + "source_format": "decimal_degrees", + "source_string": "41.917380, 3.163100", + "target_format": "DMS", + "ground_truth": { + "target_string": "41°55'2.6\"N, 3°9'47.2\"E", + "latitude": 41.91738, + "longitude": 3.1631 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 41.917380, 3.163100", + " Latitude: 41.91738°", + " Longitude: 3.1631°", + "Step 2: Convert latitude to DMS", + " Degrees = 41", + " Minutes = int((41.917380 - 41) × 60) = 55", + " Seconds = ((41.917380 - 41) × 60 - 55) × 60 = 2.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 3", + " Minutes = 9", + " Seconds = 47.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 41°55'2.6\"N, 3°9'47.2\"E", + "FINAL ANSWER: 41°55'2.6\"N, 3°9'47.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Maying", + "source_format": "DMS", + "source_string": "33°35'47.2\"N, 104°50'46.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "33.596450, 104.846170", + "latitude": 33.59645, + "longitude": 104.84617 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 33°35'47.2\"N, 104°50'46.2\"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: 33.59645°", + "Step 4: Calculate longitude", + " Longitude: 104.84617°", + "FINAL ANSWER: 33.596450, 104.846170" + ] + }, + { + "task": "format_conversion", + "location_name": "West Milford", + "source_format": "DMS", + "source_string": "41°7'52.4\"N, 74°22'2.5\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "41.131210, -74.367370", + "latitude": 41.13121, + "longitude": -74.36737 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 41°7'52.4\"N, 74°22'2.5\"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: 41.13121°", + "Step 4: Calculate longitude", + " Longitude: -74.36737°", + "FINAL ANSWER: 41.131210, -74.367370" + ] + }, + { + "task": "format_conversion", + "location_name": "Witney", + "source_format": "DMS", + "source_string": "51°47'1.0\"N, 1°29'7.4\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "51.783600, -1.485400", + "latitude": 51.7836, + "longitude": -1.4854 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 51°47'1.0\"N, 1°29'7.4\"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: 51.7836°", + "Step 4: Calculate longitude", + " Longitude: -1.4854°", + "FINAL ANSWER: 51.783600, -1.485400" + ] + }, + { + "task": "format_conversion", + "location_name": "Lobatse", + "source_format": "DMS", + "source_string": "25°13'27.7\"S, 25°40'38.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-25.224350, 25.677280", + "latitude": -25.22435, + "longitude": 25.67728 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 25°13'27.7\"S, 25°40'38.2\"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: -25.22435°", + "Step 4: Calculate longitude", + " Longitude: 25.67728°", + "FINAL ANSWER: -25.224350, 25.677280" + ] + }, + { + "task": "format_conversion", + "location_name": "Bla", + "source_format": "decimal_degrees", + "source_string": "12.950070, -5.760240", + "target_format": "DMS", + "ground_truth": { + "target_string": "12°57'0.3\"N, 5°45'36.9\"W", + "latitude": 12.95007, + "longitude": -5.76024 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 12.950070, -5.760240", + " Latitude: 12.95007°", + " Longitude: -5.76024°", + "Step 2: Convert latitude to DMS", + " Degrees = 12", + " Minutes = int((12.950070 - 12) × 60) = 57", + " Seconds = ((12.950070 - 12) × 60 - 57) × 60 = 0.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 5", + " Minutes = 45", + " Seconds = 36.9", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 12°57'0.3\"N, 5°45'36.9\"W", + "FINAL ANSWER: 12°57'0.3\"N, 5°45'36.9\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Weligama", + "source_format": "decimal_degrees", + "source_string": "5.975010, 80.429680", + "target_format": "DMS", + "ground_truth": { + "target_string": "5°58'30.0\"N, 80°25'46.8\"E", + "latitude": 5.97501, + "longitude": 80.42968 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 5.975010, 80.429680", + " Latitude: 5.97501°", + " Longitude: 80.42968°", + "Step 2: Convert latitude to DMS", + " Degrees = 5", + " Minutes = int((5.975010 - 5) × 60) = 58", + " Seconds = ((5.975010 - 5) × 60 - 58) × 60 = 30.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 80", + " Minutes = 25", + " Seconds = 46.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 5°58'30.0\"N, 80°25'46.8\"E", + "FINAL ANSWER: 5°58'30.0\"N, 80°25'46.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Esmeraldas", + "source_format": "decimal_degrees", + "source_string": "0.959200, -79.653970", + "target_format": "DMS", + "ground_truth": { + "target_string": "0°57'33.1\"N, 79°39'14.3\"W", + "latitude": 0.9592, + "longitude": -79.65397 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 0.959200, -79.653970", + " Latitude: 0.9592°", + " Longitude: -79.65397°", + "Step 2: Convert latitude to DMS", + " Degrees = 0", + " Minutes = int((0.959200 - 0) × 60) = 57", + " Seconds = ((0.959200 - 0) × 60 - 57) × 60 = 33.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 79", + " Minutes = 39", + " Seconds = 14.3", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 0°57'33.1\"N, 79°39'14.3\"W", + "FINAL ANSWER: 0°57'33.1\"N, 79°39'14.3\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Aichach", + "source_format": "DMS", + "source_string": "48°27'27.2\"N, 11°8'2.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "48.457550, 11.134130", + "latitude": 48.45755, + "longitude": 11.13413 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 48°27'27.2\"N, 11°8'2.9\"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: 48.45755°", + "Step 4: Calculate longitude", + " Longitude: 11.13413°", + "FINAL ANSWER: 48.457550, 11.134130" + ] + }, + { + "task": "format_conversion", + "location_name": "Nichinan", + "source_format": "DMS", + "source_string": "31°36'0.0\"N, 131°22'0.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "31.600000, 131.366670", + "latitude": 31.6, + "longitude": 131.36667 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 31°36'0.0\"N, 131°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: 31.6°", + "Step 4: Calculate longitude", + " Longitude: 131.36667°", + "FINAL ANSWER: 31.600000, 131.366670" + ] + }, + { + "task": "format_conversion", + "location_name": "Gongheyong", + "source_format": "DMS", + "source_string": "22°45'33.2\"N, 113°47'40.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "22.759230, 113.794520", + "latitude": 22.75923, + "longitude": 113.79452 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 22°45'33.2\"N, 113°47'40.3\"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: 22.75923°", + "Step 4: Calculate longitude", + " Longitude: 113.79452°", + "FINAL ANSWER: 22.759230, 113.794520" + ] + }, + { + "task": "format_conversion", + "location_name": "Jupi", + "source_format": "decimal_degrees", + "source_string": "-8.711670, -36.415000", + "target_format": "DMS", + "ground_truth": { + "target_string": "8°42'42.0\"S, 36°24'54.0\"W", + "latitude": -8.71167, + "longitude": -36.415 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -8.711670, -36.415000", + " Latitude: -8.71167°", + " Longitude: -36.415°", + "Step 2: Convert latitude to DMS", + " Degrees = 8", + " Minutes = int((8.711670 - 8) × 60) = 42", + " Seconds = ((8.711670 - 8) × 60 - 42) × 60 = 42.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 36", + " Minutes = 24", + " Seconds = 54.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 8°42'42.0\"S, 36°24'54.0\"W", + "FINAL ANSWER: 8°42'42.0\"S, 36°24'54.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Davlekanovo", + "source_format": "decimal_degrees", + "source_string": "54.217610, 55.030640", + "target_format": "DMS", + "ground_truth": { + "target_string": "54°13'3.4\"N, 55°1'50.3\"E", + "latitude": 54.21761, + "longitude": 55.03064 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 54.217610, 55.030640", + " Latitude: 54.21761°", + " Longitude: 55.03064°", + "Step 2: Convert latitude to DMS", + " Degrees = 54", + " Minutes = int((54.217610 - 54) × 60) = 13", + " Seconds = ((54.217610 - 54) × 60 - 13) × 60 = 3.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 55", + " Minutes = 1", + " Seconds = 50.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 54°13'3.4\"N, 55°1'50.3\"E", + "FINAL ANSWER: 54°13'3.4\"N, 55°1'50.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Al-'Alūaṣ", + "source_format": "decimal_degrees", + "source_string": "32.710070, 13.967130", + "target_format": "DMS", + "ground_truth": { + "target_string": "32°42'36.3\"N, 13°58'1.7\"E", + "latitude": 32.71007, + "longitude": 13.96713 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 32.710070, 13.967130", + " Latitude: 32.71007°", + " Longitude: 13.96713°", + "Step 2: Convert latitude to DMS", + " Degrees = 32", + " Minutes = int((32.710070 - 32) × 60) = 42", + " Seconds = ((32.710070 - 32) × 60 - 42) × 60 = 36.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 13", + " Minutes = 58", + " Seconds = 1.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 32°42'36.3\"N, 13°58'1.7\"E", + "FINAL ANSWER: 32°42'36.3\"N, 13°58'1.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "São José do Norte", + "source_format": "decimal_degrees", + "source_string": "-32.014720, -52.041670", + "target_format": "DMS", + "ground_truth": { + "target_string": "32°0'53.0\"S, 52°2'30.0\"W", + "latitude": -32.01472, + "longitude": -52.04167 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -32.014720, -52.041670", + " Latitude: -32.01472°", + " Longitude: -52.04167°", + "Step 2: Convert latitude to DMS", + " Degrees = 32", + " Minutes = int((32.014720 - 32) × 60) = 0", + " Seconds = ((32.014720 - 32) × 60 - 0) × 60 = 53.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 52", + " Minutes = 2", + " Seconds = 30.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 32°0'53.0\"S, 52°2'30.0\"W", + "FINAL ANSWER: 32°0'53.0\"S, 52°2'30.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Kozeyevo", + "source_format": "decimal_degrees", + "source_string": "55.866670, 37.616670", + "target_format": "DMS", + "ground_truth": { + "target_string": "55°52'0.0\"N, 37°37'0.0\"E", + "latitude": 55.86667, + "longitude": 37.61667 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 55.866670, 37.616670", + " Latitude: 55.86667°", + " Longitude: 37.61667°", + "Step 2: Convert latitude to DMS", + " Degrees = 55", + " Minutes = int((55.866670 - 55) × 60) = 52", + " Seconds = ((55.866670 - 55) × 60 - 52) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 37", + " Minutes = 37", + " Seconds = 0.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 55°52'0.0\"N, 37°37'0.0\"E", + "FINAL ANSWER: 55°52'0.0\"N, 37°37'0.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Nāravārikuppam", + "source_format": "DMS", + "source_string": "13°11'28.8\"N, 80°11'5.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "13.191330, 80.184730", + "latitude": 13.19133, + "longitude": 80.18473 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 13°11'28.8\"N, 80°11'5.0\"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: 13.19133°", + "Step 4: Calculate longitude", + " Longitude: 80.18473°", + "FINAL ANSWER: 13.191330, 80.184730" + ] + }, + { + "task": "format_conversion", + "location_name": "Pitäjänmäki", + "source_format": "decimal_degrees", + "source_string": "60.222870, 24.861030", + "target_format": "DMS", + "ground_truth": { + "target_string": "60°13'22.3\"N, 24°51'39.7\"E", + "latitude": 60.22287, + "longitude": 24.86103 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 60.222870, 24.861030", + " Latitude: 60.22287°", + " Longitude: 24.86103��", + "Step 2: Convert latitude to DMS", + " Degrees = 60", + " Minutes = int((60.222870 - 60) × 60) = 13", + " Seconds = ((60.222870 - 60) × 60 - 13) × 60 = 22.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 24", + " Minutes = 51", + " Seconds = 39.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 60°13'22.3\"N, 24°51'39.7\"E", + "FINAL ANSWER: 60°13'22.3\"N, 24°51'39.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Rochedale South", + "source_format": "decimal_degrees", + "source_string": "-27.595210, 153.123320", + "target_format": "DMS", + "ground_truth": { + "target_string": "27°35'42.8\"S, 153°7'24.0\"E", + "latitude": -27.59521, + "longitude": 153.12332 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -27.595210, 153.123320", + " Latitude: -27.59521°", + " Longitude: 153.12332°", + "Step 2: Convert latitude to DMS", + " Degrees = 27", + " Minutes = int((27.595210 - 27) × 60) = 35", + " Seconds = ((27.595210 - 27) × 60 - 35) × 60 = 42.8", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 153", + " Minutes = 7", + " Seconds = 24.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 27°35'42.8\"S, 153°7'24.0\"E", + "FINAL ANSWER: 27°35'42.8\"S, 153°7'24.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "El Abadia", + "source_format": "DD", + "source_string": "36.269510, 1.686090", + "target_format": "DMS", + "ground_truth": { + "target_string": "36°16'10.2\"N, 1°41'9.9\"E", + "latitude": 36.26951, + "longitude": 1.68609 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: 36.269510, 1.686090", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 36°16'10.2\"N, 1°41'9.9\"E", + "FINAL ANSWER: 36°16'10.2\"N, 1°41'9.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Varennes", + "source_format": "DMS", + "source_string": "45°41'0.2\"N, 73°25'56.9\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "45.683380, -73.432460", + "latitude": 45.68338, + "longitude": -73.43246 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 45°41'0.2\"N, 73°25'56.9\"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: 45.68338°", + "Step 4: Calculate longitude", + " Longitude: -73.43246°", + "FINAL ANSWER: 45.683380, -73.432460" + ] + }, + { + "task": "format_conversion", + "location_name": "Achhnera", + "source_format": "decimal_degrees", + "source_string": "27.178260, 77.756740", + "target_format": "DMS", + "ground_truth": { + "target_string": "27°10'41.7\"N, 77°45'24.3\"E", + "latitude": 27.17826, + "longitude": 77.75674 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 27.178260, 77.756740", + " Latitude: 27.17826°", + " Longitude: 77.75674°", + "Step 2: Convert latitude to DMS", + " Degrees = 27", + " Minutes = int((27.178260 - 27) × 60) = 10", + " Seconds = ((27.178260 - 27) × 60 - 10) × 60 = 41.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 77", + " Minutes = 45", + " Seconds = 24.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 27°10'41.7\"N, 77°45'24.3\"E", + "FINAL ANSWER: 27°10'41.7\"N, 77°45'24.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Changsha", + "source_format": "DMS", + "source_string": "22°22'52.5\"N, 112°41'5.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "22.381240, 112.684920", + "latitude": 22.38124, + "longitude": 112.68492 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 22°22'52.5\"N, 112°41'5.7\"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: 22.38124°", + "Step 4: Calculate longitude", + " Longitude: 112.68492°", + "FINAL ANSWER: 22.381240, 112.684920" + ] + }, + { + "task": "format_conversion", + "location_name": "Haenam", + "source_format": "DMS", + "source_string": "34°34'16.0\"N, 126��35'56.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "34.571110, 126.598890", + "latitude": 34.57111, + "longitude": 126.59889 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 34°34'16.0\"N, 126°35'56.0\"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: 34.57111°", + "Step 4: Calculate longitude", + " Longitude: 126.59889°", + "FINAL ANSWER: 34.571110, 126.598890" + ] + }, + { + "task": "format_conversion", + "location_name": "Iglesias", + "source_format": "decimal_degrees", + "source_string": "39.309200, 8.537200", + "target_format": "DMS", + "ground_truth": { + "target_string": "39°18'33.1\"N, 8°32'13.9\"E", + "latitude": 39.3092, + "longitude": 8.5372 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 39.309200, 8.537200", + " Latitude: 39.3092°", + " Longitude: 8.5372°", + "Step 2: Convert latitude to DMS", + " Degrees = 39", + " Minutes = int((39.309200 - 39) × 60) = 18", + " Seconds = ((39.309200 - 39) × 60 - 18) × 60 = 33.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 8", + " Minutes = 32", + " Seconds = 13.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 39°18'33.1\"N, 8°32'13.9\"E", + "FINAL ANSWER: 39°18'33.1\"N, 8°32'13.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Alexandria", + "source_format": "DMS", + "source_string": "31°18'40.6\"N, 92°26'42.5\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "31.311290, -92.445140", + "latitude": 31.31129, + "longitude": -92.44514 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 31°18'40.6\"N, 92°26'42.5\"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: 31.31129°", + "Step 4: Calculate longitude", + " Longitude: -92.44514°", + "FINAL ANSWER: 31.311290, -92.445140" + ] + }, + { + "task": "format_conversion", + "location_name": "Kunnamkulam", + "source_format": "DMS", + "source_string": "10°38'48.0\"N, 76°4'1.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "10.646670, 76.066950", + "latitude": 10.64667, + "longitude": 76.06695 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 10°38'48.0\"N, 76°4'1.0\"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: 10.64667°", + "Step 4: Calculate longitude", + " Longitude: 76.06695°", + "FINAL ANSWER: 10.646670, 76.066950" + ] + }, + { + "task": "format_conversion", + "location_name": "Bakwa", + "source_format": "decimal_degrees", + "source_string": "4.126300, 27.395270", + "target_format": "DMS", + "ground_truth": { + "target_string": "4°7'34.7\"N, 27°23'43.0\"E", + "latitude": 4.1263, + "longitude": 27.39527 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 4.126300, 27.395270", + " Latitude: 4.1263°", + " Longitude: 27.39527°", + "Step 2: Convert latitude to DMS", + " Degrees = 4", + " Minutes = int((4.126300 - 4) × 60) = 7", + " Seconds = ((4.126300 - 4) × 60 - 7) × 60 = 34.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 27", + " Minutes = 23", + " Seconds = 43.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 4°7'34.7\"N, 27°23'43.0\"E", + "FINAL ANSWER: 4°7'34.7\"N, 27°23'43.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Nkoranza", + "source_format": "DMS", + "source_string": "7°34'16.6\"N, 1°42'31.3\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "7.571270, -1.708700", + "latitude": 7.57127, + "longitude": -1.7087 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 7°34'16.6\"N, 1°42'31.3\"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: 7.57127°", + "Step 4: Calculate longitude", + " Longitude: -1.7087°", + "FINAL ANSWER: 7.571270, -1.708700" + ] + }, + { + "task": "format_conversion", + "location_name": "Omutninsk", + "source_format": "decimal_degrees", + "source_string": "58.670150, 52.193130", + "target_format": "DMS", + "ground_truth": { + "target_string": "58°40'12.5\"N, 52°11'35.3\"E", + "latitude": 58.67015, + "longitude": 52.19313 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 58.670150, 52.193130", + " Latitude: 58.67015°", + " Longitude: 52.19313°", + "Step 2: Convert latitude to DMS", + " Degrees = 58", + " Minutes = int((58.670150 - 58) × 60) = 40", + " Seconds = ((58.670150 - 58) × 60 - 40) × 60 = 12.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 52", + " Minutes = 11", + " Seconds = 35.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 58°40'12.5\"N, 52°11'35.3\"E", + "FINAL ANSWER: 58°40'12.5\"N, 52°11'35.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Huancayo", + "source_format": "decimal_degrees", + "source_string": "-12.068660, -75.210270", + "target_format": "DMS", + "ground_truth": { + "target_string": "12°4'7.2\"S, 75°12'37.0\"W", + "latitude": -12.06866, + "longitude": -75.21027 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -12.068660, -75.210270", + " Latitude: -12.06866°", + " Longitude: -75.21027°", + "Step 2: Convert latitude to DMS", + " Degrees = 12", + " Minutes = int((12.068660 - 12) × 60) = 4", + " Seconds = ((12.068660 - 12) × 60 - 4) × 60 = 7.2", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 75", + " Minutes = 12", + " Seconds = 37.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 12°4'7.2\"S, 75°12'37.0\"W", + "FINAL ANSWER: 12°4'7.2\"S, 75°12'37.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Lingiādīh", + "source_format": "DMS", + "source_string": "22°4'38.9\"N, 82°10'33.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "22.077480, 82.176050", + "latitude": 22.07748, + "longitude": 82.17605 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 22°4'38.9\"N, 82°10'33.8\"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: 22.07748°", + "Step 4: Calculate longitude", + " Longitude: 82.17605°", + "FINAL ANSWER: 22.077480, 82.176050" + ] + }, + { + "task": "format_conversion", + "location_name": "Tullus", + "source_format": "decimal_degrees", + "source_string": "11.090400, 24.530150", + "target_format": "DMS", + "ground_truth": { + "target_string": "11°5'25.4\"N, 24°31'48.5\"E", + "latitude": 11.0904, + "longitude": 24.53015 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 11.090400, 24.530150", + " Latitude: 11.0904°", + " Longitude: 24.53015°", + "Step 2: Convert latitude to DMS", + " Degrees = 11", + " Minutes = int((11.090400 - 11) × 60) = 5", + " Seconds = ((11.090400 - 11) × 60 - 5) × 60 = 25.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 24", + " Minutes = 31", + " Seconds = 48.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 11°5'25.4\"N, 24°31'48.5\"E", + "FINAL ANSWER: 11°5'25.4\"N, 24°31'48.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Dajin", + "source_format": "decimal_degrees", + "source_string": "31.509550, 108.445790", + "target_format": "DMS", + "ground_truth": { + "target_string": "31°30'34.4\"N, 108°26'44.8\"E", + "latitude": 31.50955, + "longitude": 108.44579 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 31.509550, 108.445790", + " Latitude: 31.50955°", + " Longitude: 108.44579°", + "Step 2: Convert latitude to DMS", + " Degrees = 31", + " Minutes = int((31.509550 - 31) × 60) = 30", + " Seconds = ((31.509550 - 31) × 60 - 30) × 60 = 34.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 108", + " Minutes = 26", + " Seconds = 44.8", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 31°30'34.4\"N, 108°26'44.8\"E", + "FINAL ANSWER: 31°30'34.4\"N, 108°26'44.8\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Barberton", + "source_format": "DMS", + "source_string": "25°47'18.3\"S, 31°3'11.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-25.788420, 31.053190", + "latitude": -25.78842, + "longitude": 31.05319 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 25°47'18.3\"S, 31°3'11.5\"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: -25.78842°", + "Step 4: Calculate longitude", + " Longitude: 31.05319°", + "FINAL ANSWER: -25.788420, 31.053190" + ] + }, + { + "task": "format_conversion", + "location_name": "Ixtapa-Zihuatanejo", + "source_format": "DMS", + "source_string": "17°38'36.4\"N, 101°33'7.6\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "17.643440, -101.552120", + "latitude": 17.64344, + "longitude": -101.55212 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 17°38'36.4\"N, 101°33'7.6\"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: 17.64344°", + "Step 4: Calculate longitude", + " Longitude: -101.55212°", + "FINAL ANSWER: 17.643440, -101.552120" + ] + }, + { + "task": "format_conversion", + "location_name": "Loutété", + "source_format": "DMS", + "source_string": "4°17'46.0\"S, 13°51'3.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-4.296110, 13.850830", + "latitude": -4.29611, + "longitude": 13.85083 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 4°17'46.0\"S, 13°51'3.0\"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: -4.29611°", + "Step 4: Calculate longitude", + " Longitude: 13.85083°", + "FINAL ANSWER: -4.296110, 13.850830" + ] + }, + { + "task": "format_conversion", + "location_name": "Palwal Rural", + "source_format": "DMS", + "source_string": "28°8'44.0\"N, 77°21'4.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "28.145550, 77.351320", + "latitude": 28.14555, + "longitude": 77.35132 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 28°8'44.0\"N, 77°21'4.8\"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: 28.14555°", + "Step 4: Calculate longitude", + " Longitude: 77.35132°", + "FINAL ANSWER: 28.145550, 77.351320" + ] + }, + { + "task": "format_conversion", + "location_name": "Samut Sakhon", + "source_format": "DMS", + "source_string": "13°32'51.1\"N, 100°16'25.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "13.547530, 100.273620", + "latitude": 13.54753, + "longitude": 100.27362 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 13°32'51.1\"N, 100°16'25.0\"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: 13.54753°", + "Step 4: Calculate longitude", + " Longitude: 100.27362°", + "FINAL ANSWER: 13.547530, 100.273620" + ] + }, + { + "task": "format_conversion", + "location_name": "Kailāshahar", + "source_format": "DMS", + "source_string": "24°19'55.2\"N, 92°0'14.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "24.331990, 92.003910", + "latitude": 24.33199, + "longitude": 92.00391 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 24°19'55.2\"N, 92°0'14.1\"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: 24.33199°", + "Step 4: Calculate longitude", + " Longitude: 92.00391°", + "FINAL ANSWER: 24.331990, 92.003910" + ] + }, + { + "task": "format_conversion", + "location_name": "Bhola", + "source_format": "DMS", + "source_string": "22°41'15.3\"N, 90°38'38.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "22.687590, 90.644030", + "latitude": 22.68759, + "longitude": 90.64403 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 22°41'15.3\"N, 90°38'38.5\"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: 22.68759°", + "Step 4: Calculate longitude", + " Longitude: 90.64403°", + "FINAL ANSWER: 22.687590, 90.644030" + ] + }, + { + "task": "format_conversion", + "location_name": "Duarte", + "source_format": "DMS", + "source_string": "34°8'22.0\"N, 117°58'38.2\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "34.139450, -117.977290", + "latitude": 34.13945, + "longitude": -117.97729 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 34°8'22.0\"N, 117°58'38.2\"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: 34.13945°", + "Step 4: Calculate longitude", + " Longitude: -117.97729°", + "FINAL ANSWER: 34.139450, -117.977290" + ] + }, + { + "task": "format_conversion", + "location_name": "Jianshui", + "source_format": "decimal_degrees", + "source_string": "24.277400, 101.224000", + "target_format": "DMS", + "ground_truth": { + "target_string": "24°16'38.6\"N, 101°13'26.4\"E", + "latitude": 24.2774, + "longitude": 101.224 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 24.277400, 101.224000", + " Latitude: 24.2774°", + " Longitude: 101.224°", + "Step 2: Convert latitude to DMS", + " Degrees = 24", + " Minutes = int((24.277400 - 24) × 60) = 16", + " Seconds = ((24.277400 - 24) × 60 - 16) × 60 = 38.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 101", + " Minutes = 13", + " Seconds = 26.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 24°16'38.6\"N, 101°13'26.4\"E", + "FINAL ANSWER: 24°16'38.6\"N, 101°13'26.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Ballerup", + "source_format": "DMS", + "source_string": "55°43'53.9\"N, 12°21'47.8\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "55.731650, 12.363280", + "latitude": 55.73165, + "longitude": 12.36328 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 55°43'53.9\"N, 12°21'47.8\"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: 55.73165°", + "Step 4: Calculate longitude", + " Longitude: 12.36328°", + "FINAL ANSWER: 55.731650, 12.363280" + ] + }, + { + "task": "format_conversion", + "location_name": "Salto", + "source_format": "decimal_degrees", + "source_string": "-34.291750, -60.254500", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°17'30.3\"S, 60°15'16.2\"W", + "latitude": -34.29175, + "longitude": -60.2545 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -34.291750, -60.254500", + " Latitude: -34.29175°", + " Longitude: -60.2545°", + "Step 2: Convert latitude to DMS", + " Degrees = 34", + " Minutes = int((34.291750 - 34) × 60) = 17", + " Seconds = ((34.291750 - 34) × 60 - 17) × 60 = 30.3", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 60", + " Minutes = 15", + " Seconds = 16.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 34°17'30.3\"S, 60°15'16.2\"W", + "FINAL ANSWER: 34°17'30.3\"S, 60°15'16.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Labis", + "source_format": "DMS", + "source_string": "2°23'6.0\"N, 103°1'15.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "2.385000, 103.021000", + "latitude": 2.385, + "longitude": 103.021 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 2°23'6.0\"N, 103°1'15.6\"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: 2.385°", + "Step 4: Calculate longitude", + " Longitude: 103.021°", + "FINAL ANSWER: 2.385000, 103.021000" + ] + }, + { + "task": "format_conversion", + "location_name": "Ali Mendjeli", + "source_format": "DMS", + "source_string": "36°14'45.2\"N, 6°34'1.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "36.245900, 6.567100", + "latitude": 36.2459, + "longitude": 6.5671 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 36°14'45.2\"N, 6°34'1.6\"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: 36.2459°", + "Step 4: Calculate longitude", + " Longitude: 6.5671°", + "FINAL ANSWER: 36.245900, 6.567100" + ] + }, + { + "task": "format_conversion", + "location_name": "Besbes", + "source_format": "DMS", + "source_string": "36°42'8.0\"N, 7°50'50.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "36.702220, 7.847220", + "latitude": 36.70222, + "longitude": 7.84722 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 36°42'8.0\"N, 7°50'50.0\"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: 36.70222°", + "Step 4: Calculate longitude", + " Longitude: 7.84722°", + "FINAL ANSWER: 36.702220, 7.847220" + ] + }, + { + "task": "format_conversion", + "location_name": "Rajanpur", + "source_format": "DMS", + "source_string": "29°6'14.7\"N, 70°19'46.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "29.104080, 70.329690", + "latitude": 29.10408, + "longitude": 70.32969 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 29°6'14.7\"N, 70°19'46.9\"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: 29.10408°", + "Step 4: Calculate longitude", + " Longitude: 70.32969°", + "FINAL ANSWER: 29.104080, 70.329690" + ] + }, + { + "task": "format_conversion", + "location_name": "Salekhard", + "source_format": "DMS", + "source_string": "66°32'1.4\"N, 66°36'34.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "66.533730, 66.609550", + "latitude": 66.53373, + "longitude": 66.60955 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 66°32'1.4\"N, 66°36'34.4\"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: 66.53373°", + "Step 4: Calculate longitude", + " Longitude: 66.60955°", + "FINAL ANSWER: 66.533730, 66.609550" + ] + }, + { + "task": "format_conversion", + "location_name": "Selma", + "source_format": "DMS", + "source_string": "36°34'14.8\"N, 119°36'43.5\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "36.570780, -119.612080", + "latitude": 36.57078, + "longitude": -119.61208 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 36°34'14.8\"N, 119°36'43.5\"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: 36.57078°", + "Step 4: Calculate longitude", + " Longitude: -119.61208°", + "FINAL ANSWER: 36.570780, -119.612080" + ] + }, + { + "task": "format_conversion", + "location_name": "Santa Rosa", + "source_format": "DMS", + "source_string": "38°26'25.7\"N, 122°42'51.9\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "38.440470, -122.714430", + "latitude": 38.44047, + "longitude": -122.71443 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 38°26'25.7\"N, 122°42'51.9\"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: 38.44047°", + "Step 4: Calculate longitude", + " Longitude: -122.71443°", + "FINAL ANSWER: 38.440470, -122.714430" + ] + }, + { + "task": "format_conversion", + "location_name": "Des Moines", + "source_format": "DMS", + "source_string": "41°36'1.9\"N, 93°36'32.8\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "41.600540, -93.609110", + "latitude": 41.60054, + "longitude": -93.60911 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 41°36'1.9\"N, 93°36'32.8\"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: 41.60054°", + "Step 4: Calculate longitude", + " Longitude: -93.60911°", + "FINAL ANSWER: 41.600540, -93.609110" + ] + }, + { + "task": "format_conversion", + "location_name": "Chefchaouen", + "source_format": "decimal_degrees", + "source_string": "35.168780, -5.263600", + "target_format": "DMS", + "ground_truth": { + "target_string": "35°10'7.6\"N, 5°15'49.0\"W", + "latitude": 35.16878, + "longitude": -5.2636 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 35.168780, -5.263600", + " Latitude: 35.16878°", + " Longitude: -5.2636°", + "Step 2: Convert latitude to DMS", + " Degrees = 35", + " Minutes = int((35.168780 - 35) × 60) = 10", + " Seconds = ((35.168780 - 35) × 60 - 10) × 60 = 7.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 5", + " Minutes = 15", + " Seconds = 49.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 35°10'7.6\"N, 5°15'49.0\"W", + "FINAL ANSWER: 35°10'7.6\"N, 5°15'49.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Estreito", + "source_format": "DMS", + "source_string": "5°46'60.0\"S, 43°15'0.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-5.783330, -43.250000", + "latitude": -5.78333, + "longitude": -43.25 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 5°46'60.0\"S, 43°15'0.0\"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: -5.78333°", + "Step 4: Calculate longitude", + " Longitude: -43.25°", + "FINAL ANSWER: -5.783330, -43.250000" + ] + }, + { + "task": "format_conversion", + "location_name": "Paraíso do Tocantins", + "source_format": "decimal_degrees", + "source_string": "-10.176110, -48.866670", + "target_format": "DMS", + "ground_truth": { + "target_string": "10°10'34.0\"S, 48°52'0.0\"W", + "latitude": -10.17611, + "longitude": -48.86667 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -10.176110, -48.866670", + " Latitude: -10.17611°", + " Longitude: -48.86667°", + "Step 2: Convert latitude to DMS", + " Degrees = 10", + " Minutes = int((10.176110 - 10) × 60) = 10", + " Seconds = ((10.176110 - 10) × 60 - 10) × 60 = 34.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 48", + " Minutes = 52", + " Seconds = 0.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 10°10'34.0\"S, 48°52'0.0\"W", + "FINAL ANSWER: 10°10'34.0\"S, 48°52'0.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Carmo do Paranaíba", + "source_format": "DMS", + "source_string": "19°0'3.0\"S, 46°18'58.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-19.000830, -46.316110", + "latitude": -19.00083, + "longitude": -46.31611 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 19°0'3.0\"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: -19.00083°", + "Step 4: Calculate longitude", + " Longitude: -46.31611°", + "FINAL ANSWER: -19.000830, -46.316110" + ] + }, + { + "task": "format_conversion", + "location_name": "Maple Grove", + "source_format": "decimal_degrees", + "source_string": "45.072460, -93.455790", + "target_format": "DMS", + "ground_truth": { + "target_string": "45°4'20.9\"N, 93°27'20.8\"W", + "latitude": 45.07246, + "longitude": -93.45579 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 45.072460, -93.455790", + " Latitude: 45.07246°", + " Longitude: -93.45579°", + "Step 2: Convert latitude to DMS", + " Degrees = 45", + " Minutes = int((45.072460 - 45) × 60) = 4", + " Seconds = ((45.072460 - 45) × 60 - 4) × 60 = 20.9", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 93", + " Minutes = 27", + " Seconds = 20.8", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 45°4'20.9\"N, 93°27'20.8\"W", + "FINAL ANSWER: 45°4'20.9\"N, 93°27'20.8\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Jussara", + "source_format": "decimal_degrees", + "source_string": "-15.865000, -50.868060", + "target_format": "DMS", + "ground_truth": { + "target_string": "15°51'54.0\"S, 50°52'5.0\"W", + "latitude": -15.865, + "longitude": -50.86806 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -15.865000, -50.868060", + " Latitude: -15.865°", + " Longitude: -50.86806°", + "Step 2: Convert latitude to DMS", + " Degrees = 15", + " Minutes = int((15.865000 - 15) × 60) = 51", + " Seconds = ((15.865000 - 15) × 60 - 51) × 60 = 54.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 50", + " Minutes = 52", + " Seconds = 5.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 15°51'54.0\"S, 50°52'5.0\"W", + "FINAL ANSWER: 15°51'54.0\"S, 50°52'5.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Ariel", + "source_format": "decimal_degrees", + "source_string": "32.106500, 35.184490", + "target_format": "DMS", + "ground_truth": { + "target_string": "32°6'23.4\"N, 35°11'4.2\"E", + "latitude": 32.1065, + "longitude": 35.18449 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 32.106500, 35.184490", + " Latitude: 32.1065°", + " Longitude: 35.18449°", + "Step 2: Convert latitude to DMS", + " Degrees = 32", + " Minutes = int((32.106500 - 32) × 60) = 6", + " Seconds = ((32.106500 - 32) × 60 - 6) × 60 = 23.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 35", + " Minutes = 11", + " Seconds = 4.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 32°6'23.4\"N, 35°11'4.2\"E", + "FINAL ANSWER: 32°6'23.4\"N, 35°11'4.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Monteiro", + "source_format": "DMS", + "source_string": "7°53'22.0\"S, 37°7'12.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-7.889440, -37.120000", + "latitude": -7.88944, + "longitude": -37.12 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 7°53'22.0\"S, 37°7'12.0\"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: -7.88944°", + "Step 4: Calculate longitude", + " Longitude: -37.12°", + "FINAL ANSWER: -7.889440, -37.120000" + ] + }, + { + "task": "format_conversion", + "location_name": "Nippes", + "source_format": "decimal_degrees", + "source_string": "50.965450, 6.953140", + "target_format": "DMS", + "ground_truth": { + "target_string": "50°57'55.6\"N, 6°57'11.3\"E", + "latitude": 50.96545, + "longitude": 6.95314 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 50.965450, 6.953140", + " Latitude: 50.96545°", + " Longitude: 6.95314°", + "Step 2: Convert latitude to DMS", + " Degrees = 50", + " Minutes = int((50.965450 - 50) × 60) = 57", + " Seconds = ((50.965450 - 50) × 60 - 57) × 60 = 55.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 6", + " Minutes = 57", + " Seconds = 11.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 50°57'55.6\"N, 6°57'11.3\"E", + "FINAL ANSWER: 50°57'55.6\"N, 6°57'11.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Seongnam-si", + "source_format": "DMS", + "source_string": "37°26'19.0\"N, 127°8'16.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "37.438610, 127.137780", + "latitude": 37.43861, + "longitude": 127.13778 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 37°26'19.0\"N, 127°8'16.0\"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: 37.43861°", + "Step 4: Calculate longitude", + " Longitude: 127.13778°", + "FINAL ANSWER: 37.438610, 127.137780" + ] + }, + { + "task": "format_conversion", + "location_name": "Saint-Constant", + "source_format": "decimal_degrees", + "source_string": "45.366780, -73.565880", + "target_format": "DMS", + "ground_truth": { + "target_string": "45°22'0.4\"N, 73°33'57.2\"W", + "latitude": 45.36678, + "longitude": -73.56588 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 45.366780, -73.565880", + " Latitude: 45.36678°", + " Longitude: -73.56588°", + "Step 2: Convert latitude to DMS", + " Degrees = 45", + " Minutes = int((45.366780 - 45) × 60) = 22", + " Seconds = ((45.366780 - 45) × 60 - 22) × 60 = 0.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 73", + " Minutes = 33", + " Seconds = 57.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 45°22'0.4\"N, 73°33'57.2\"W", + "FINAL ANSWER: 45°22'0.4\"N, 73°33'57.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Makoko", + "source_format": "DMS", + "source_string": "6°29'46.0\"N, 3°23'16.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "6.496110, 3.387780", + "latitude": 6.49611, + "longitude": 3.38778 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 6°29'46.0\"N, 3°23'16.0\"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: 6.49611°", + "Step 4: Calculate longitude", + " Longitude: 3.38778°", + "FINAL ANSWER: 6.496110, 3.387780" + ] + }, + { + "task": "format_conversion", + "location_name": "Manisa", + "source_format": "decimal_degrees", + "source_string": "38.612020, 27.426470", + "target_format": "DMS", + "ground_truth": { + "target_string": "38°36'43.3\"N, 27°25'35.3\"E", + "latitude": 38.61202, + "longitude": 27.42647 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 38.612020, 27.426470", + " Latitude: 38.61202°", + " Longitude: 27.42647°", + "Step 2: Convert latitude to DMS", + " Degrees = 38", + " Minutes = int((38.612020 - 38) × 60) = 36", + " Seconds = ((38.612020 - 38) × 60 - 36) × 60 = 43.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 27", + " Minutes = 25", + " Seconds = 35.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 38°36'43.3\"N, 27°25'35.3\"E", + "FINAL ANSWER: 38°36'43.3\"N, 27°25'35.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Floresta", + "source_format": "DMS", + "source_string": "8°36'4.0\"S, 38°34'7.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-8.601110, -38.568610", + "latitude": -8.60111, + "longitude": -38.56861 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 8°36'4.0\"S, 38°34'7.0\"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: -8.60111°", + "Step 4: Calculate longitude", + " Longitude: -38.56861°", + "FINAL ANSWER: -8.601110, -38.568610" + ] + }, + { + "task": "format_conversion", + "location_name": "Coquitlam West", + "source_format": "DMS", + "source_string": "49°15'25.3\"N, 122°52'43.8\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "49.257020, -122.878830", + "latitude": 49.25702, + "longitude": -122.87883 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 49°15'25.3\"N, 122°52'43.8\"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: 49.25702°", + "Step 4: Calculate longitude", + " Longitude: -122.87883°", + "FINAL ANSWER: 49.257020, -122.878830" + ] + }, + { + "task": "format_conversion", + "location_name": "Phumĭ Âmpĭl Leu", + "source_format": "decimal_degrees", + "source_string": "12.009230, 105.434090", + "target_format": "DMS", + "ground_truth": { + "target_string": "12°0'33.2\"N, 105°26'2.7\"E", + "latitude": 12.00923, + "longitude": 105.43409 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 12.009230, 105.434090", + " Latitude: 12.00923°", + " Longitude: 105.43409°", + "Step 2: Convert latitude to DMS", + " Degrees = 12", + " Minutes = int((12.009230 - 12) × 60) = 0", + " Seconds = ((12.009230 - 12) × 60 - 0) × 60 = 33.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 105", + " Minutes = 26", + " Seconds = 2.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 12°0'33.2\"N, 105°26'2.7\"E", + "FINAL ANSWER: 12°0'33.2\"N, 105°26'2.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Lutsk", + "source_format": "DMS", + "source_string": "50°45'28.2\"N, 25°21'0.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "50.757840, 25.350240", + "latitude": 50.75784, + "longitude": 25.35024 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 50°45'28.2\"N, 25°21'0.9\"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: 50.75784°", + "Step 4: Calculate longitude", + " Longitude: 25.35024°", + "FINAL ANSWER: 50.757840, 25.350240" + ] + }, + { + "task": "format_conversion", + "location_name": "Reseda", + "source_format": "DD", + "source_string": "34.201120, -118.536470", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°12'4.0\"N, 118°32'11.3\"W", + "latitude": 34.20112, + "longitude": -118.53647 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: 34.201120, -118.536470", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 34°12'4.0\"N, 118°32'11.3\"W", + "FINAL ANSWER: 34°12'4.0\"N, 118°32'11.3\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Aloha", + "source_format": "DD", + "source_string": "45.494280, -122.867050", + "target_format": "DMS", + "ground_truth": { + "target_string": "45°29'39.4\"N, 122°52'1.4\"W", + "latitude": 45.49428, + "longitude": -122.86705 + }, + "reasoning_steps": [ + "Step 1: Parse source format (DD)", + " Input: 45.494280, -122.867050", + "Step 2: Apply conversion formula for DMS", + "Step 3: Result: 45°29'39.4\"N, 122°52'1.4\"W", + "FINAL ANSWER: 45°29'39.4\"N, 122°52'1.4\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Obock", + "source_format": "DMS", + "source_string": "11°58'0.9\"N, 43°17'18.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "11.966930, 43.288350", + "latitude": 11.96693, + "longitude": 43.28835 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 11°58'0.9\"N, 43°17'18.1\"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: 11.96693°", + "Step 4: Calculate longitude", + " Longitude: 43.28835°", + "FINAL ANSWER: 11.966930, 43.288350" + ] + }, + { + "task": "format_conversion", + "location_name": "Antsohimbondrona", + "source_format": "decimal_degrees", + "source_string": "-13.083330, 48.850000", + "target_format": "DMS", + "ground_truth": { + "target_string": "13°4'60.0\"S, 48°51'0.0\"E", + "latitude": -13.08333, + "longitude": 48.85 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -13.083330, 48.850000", + " Latitude: -13.08333°", + " Longitude: 48.85°", + "Step 2: Convert latitude to DMS", + " Degrees = 13", + " Minutes = int((13.083330 - 13) × 60) = 4", + " Seconds = ((13.083330 - 13) × 60 - 4) × 60 = 60.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 48", + " Minutes = 51", + " Seconds = 0.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 13°4'60.0\"S, 48°51'0.0\"E", + "FINAL ANSWER: 13°4'60.0\"S, 48°51'0.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Ardakān", + "source_format": "decimal_degrees", + "source_string": "32.310010, 54.017470", + "target_format": "DMS", + "ground_truth": { + "target_string": "32°18'36.0\"N, 54°1'2.9\"E", + "latitude": 32.31001, + "longitude": 54.01747 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 32.310010, 54.017470", + " Latitude: 32.31001°", + " Longitude: 54.01747°", + "Step 2: Convert latitude to DMS", + " Degrees = 32", + " Minutes = int((32.310010 - 32) × 60) = 18", + " Seconds = ((32.310010 - 32) × 60 - 18) × 60 = 36.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 54", + " Minutes = 1", + " Seconds = 2.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 32°18'36.0\"N, 54°1'2.9\"E", + "FINAL ANSWER: 32°18'36.0\"N, 54°1'2.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Bougado", + "source_format": "DMS", + "source_string": "41°20'23.2\"N, 8°33'6.5\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "41.339790, -8.551800", + "latitude": 41.33979, + "longitude": -8.5518 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 41°20'23.2\"N, 8°33'6.5\"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: 41.33979°", + "Step 4: Calculate longitude", + " Longitude: -8.5518°", + "FINAL ANSWER: 41.339790, -8.551800" + ] + }, + { + "task": "format_conversion", + "location_name": "Douz", + "source_format": "decimal_degrees", + "source_string": "33.466320, 9.020300", + "target_format": "DMS", + "ground_truth": { + "target_string": "33°27'58.8\"N, 9°1'13.1\"E", + "latitude": 33.46632, + "longitude": 9.0203 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 33.466320, 9.020300", + " Latitude: 33.46632°", + " Longitude: 9.0203°", + "Step 2: Convert latitude to DMS", + " Degrees = 33", + " Minutes = int((33.466320 - 33) × 60) = 27", + " Seconds = ((33.466320 - 33) × 60 - 27) × 60 = 58.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 9", + " Minutes = 1", + " Seconds = 13.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 33°27'58.8\"N, 9°1'13.1\"E", + "FINAL ANSWER: 33°27'58.8\"N, 9°1'13.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Baclaran", + "source_format": "decimal_degrees", + "source_string": "14.531940, 120.994170", + "target_format": "DMS", + "ground_truth": { + "target_string": "14°31'55.0\"N, 120°59'39.0\"E", + "latitude": 14.53194, + "longitude": 120.99417 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 14.531940, 120.994170", + " Latitude: 14.53194°", + " Longitude: 120.99417°", + "Step 2: Convert latitude to DMS", + " Degrees = 14", + " Minutes = int((14.531940 - 14) × 60) = 31", + " Seconds = ((14.531940 - 14) × 60 - 31) × 60 = 55.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 120", + " Minutes = 59", + " Seconds = 39.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 14°31'55.0\"N, 120°59'39.0\"E", + "FINAL ANSWER: 14°31'55.0\"N, 120°59'39.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Aguaytía", + "source_format": "DMS", + "source_string": "9°2'16.0\"S, 75°30'32.6\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-9.037780, -75.509060", + "latitude": -9.03778, + "longitude": -75.50906 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 9°2'16.0\"S, 75°30'32.6\"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: -9.03778°", + "Step 4: Calculate longitude", + " Longitude: -75.50906°", + "FINAL ANSWER: -9.037780, -75.509060" + ] + }, + { + "task": "format_conversion", + "location_name": "Clemson", + "source_format": "decimal_degrees", + "source_string": "34.683440, -82.837370", + "target_format": "DMS", + "ground_truth": { + "target_string": "34°41'0.4\"N, 82°50'14.5\"W", + "latitude": 34.68344, + "longitude": -82.83737 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 34.683440, -82.837370", + " Latitude: 34.68344°", + " Longitude: -82.83737°", + "Step 2: Convert latitude to DMS", + " Degrees = 34", + " Minutes = int((34.683440 - 34) × 60) = 41", + " Seconds = ((34.683440 - 34) × 60 - 41) × 60 = 0.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 82", + " Minutes = 50", + " Seconds = 14.5", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 34°41'0.4\"N, 82°50'14.5\"W", + "FINAL ANSWER: 34°41'0.4\"N, 82°50'14.5\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Arakkonam", + "source_format": "DMS", + "source_string": "13°5'4.2\"N, 79°40'13.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "13.084490, 79.670530", + "latitude": 13.08449, + "longitude": 79.67053 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 13°5'4.2\"N, 79°40'13.9\"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: 13.08449°", + "Step 4: Calculate longitude", + " Longitude: 79.67053°", + "FINAL ANSWER: 13.084490, 79.670530" + ] + }, + { + "task": "format_conversion", + "location_name": "Sopot", + "source_format": "decimal_degrees", + "source_string": "54.441800, 18.560030", + "target_format": "DMS", + "ground_truth": { + "target_string": "54°26'30.5\"N, 18°33'36.1\"E", + "latitude": 54.4418, + "longitude": 18.56003 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 54.441800, 18.560030", + " Latitude: 54.4418°", + " Longitude: 18.56003°", + "Step 2: Convert latitude to DMS", + " Degrees = 54", + " Minutes = int((54.441800 - 54) × 60) = 26", + " Seconds = ((54.441800 - 54) × 60 - 26) × 60 = 30.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 18", + " Minutes = 33", + " Seconds = 36.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 54°26'30.5\"N, 18°33'36.1\"E", + "FINAL ANSWER: 54°26'30.5\"N, 18°33'36.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kesariyā", + "source_format": "decimal_degrees", + "source_string": "26.349920, 84.870860", + "target_format": "DMS", + "ground_truth": { + "target_string": "26°20'59.7\"N, 84°52'15.1\"E", + "latitude": 26.34992, + "longitude": 84.87086 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 26.349920, 84.870860", + " Latitude: 26.34992°", + " Longitude: 84.87086°", + "Step 2: Convert latitude to DMS", + " Degrees = 26", + " Minutes = int((26.349920 - 26) × 60) = 20", + " Seconds = ((26.349920 - 26) × 60 - 20) × 60 = 59.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 84", + " Minutes = 52", + " Seconds = 15.1", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 26°20'59.7\"N, 84°52'15.1\"E", + "FINAL ANSWER: 26°20'59.7\"N, 84°52'15.1\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Sosnovyy Bor", + "source_format": "DMS", + "source_string": "59°53'58.6\"N, 29°5'8.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "59.899600, 29.085740", + "latitude": 59.8996, + "longitude": 29.08574 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 59°53'58.6\"N, 29°5'8.7\"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: 59.8996°", + "Step 4: Calculate longitude", + " Longitude: 29.08574°", + "FINAL ANSWER: 59.899600, 29.085740" + ] + }, + { + "task": "format_conversion", + "location_name": "Taixing", + "source_format": "decimal_degrees", + "source_string": "32.166670, 120.013610", + "target_format": "DMS", + "ground_truth": { + "target_string": "32°10'0.0\"N, 120°0'49.0\"E", + "latitude": 32.16667, + "longitude": 120.01361 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 32.166670, 120.013610", + " Latitude: 32.16667°", + " Longitude: 120.01361°", + "Step 2: Convert latitude to DMS", + " Degrees = 32", + " Minutes = int((32.166670 - 32) × 60) = 10", + " Seconds = ((32.166670 - 32) × 60 - 10) × 60 = 0.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 120", + " Minutes = 0", + " Seconds = 49.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 32°10'0.0\"N, 120°0'49.0\"E", + "FINAL ANSWER: 32°10'0.0\"N, 120°0'49.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Kattumannarkoil", + "source_format": "decimal_degrees", + "source_string": "11.276310, 79.557840", + "target_format": "DMS", + "ground_truth": { + "target_string": "11°16'34.7\"N, 79°33'28.2\"E", + "latitude": 11.27631, + "longitude": 79.55784 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 11.276310, 79.557840", + " Latitude: 11.27631°", + " Longitude: 79.55784°", + "Step 2: Convert latitude to DMS", + " Degrees = 11", + " Minutes = int((11.276310 - 11) × 60) = 16", + " Seconds = ((11.276310 - 11) × 60 - 16) × 60 = 34.7", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 79", + " Minutes = 33", + " Seconds = 28.2", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 11°16'34.7\"N, 79°33'28.2\"E", + "FINAL ANSWER: 11°16'34.7\"N, 79°33'28.2\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Toyoake", + "source_format": "decimal_degrees", + "source_string": "35.038000, 136.999310", + "target_format": "DMS", + "ground_truth": { + "target_string": "35°2'16.8\"N, 136°59'57.5\"E", + "latitude": 35.038, + "longitude": 136.99931 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 35.038000, 136.999310", + " Latitude: 35.038°", + " Longitude: 136.99931°", + "Step 2: Convert latitude to DMS", + " Degrees = 35", + " Minutes = int((35.038000 - 35) × 60) = 2", + " Seconds = ((35.038000 - 35) × 60 - 2) × 60 = 16.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 136", + " Minutes = 59", + " Seconds = 57.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 35°2'16.8\"N, 136°59'57.5\"E", + "FINAL ANSWER: 35°2'16.8\"N, 136°59'57.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Dhanbad", + "source_format": "decimal_degrees", + "source_string": "23.797590, 86.429920", + "target_format": "DMS", + "ground_truth": { + "target_string": "23°47'51.3\"N, 86°25'47.7\"E", + "latitude": 23.79759, + "longitude": 86.42992 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 23.797590, 86.429920", + " Latitude: 23.79759°", + " Longitude: 86.42992°", + "Step 2: Convert latitude to DMS", + " Degrees = 23", + " Minutes = int((23.797590 - 23) × 60) = 47", + " Seconds = ((23.797590 - 23) × 60 - 47) × 60 = 51.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 86", + " Minutes = 25", + " Seconds = 47.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 23°47'51.3\"N, 86°25'47.7\"E", + "FINAL ANSWER: 23°47'51.3\"N, 86°25'47.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Fort Bragg", + "source_format": "DMS", + "source_string": "35°8'20.4\"N, 79°0'21.7\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "35.139000, -79.006030", + "latitude": 35.139, + "longitude": -79.00603 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 35°8'20.4\"N, 79°0'21.7\"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: 35.139°", + "Step 4: Calculate longitude", + " Longitude: -79.00603°", + "FINAL ANSWER: 35.139000, -79.006030" + ] + }, + { + "task": "format_conversion", + "location_name": "Dharamsala", + "source_format": "decimal_degrees", + "source_string": "32.220060, 76.320130", + "target_format": "DMS", + "ground_truth": { + "target_string": "32°13'12.2\"N, 76°19'12.5\"E", + "latitude": 32.22006, + "longitude": 76.32013 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 32.220060, 76.320130", + " Latitude: 32.22006°", + " Longitude: 76.32013°", + "Step 2: Convert latitude to DMS", + " Degrees = 32", + " Minutes = int((32.220060 - 32) × 60) = 13", + " Seconds = ((32.220060 - 32) × 60 - 13) × 60 = 12.2", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 76", + " Minutes = 19", + " Seconds = 12.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 32°13'12.2\"N, 76°19'12.5\"E", + "FINAL ANSWER: 32°13'12.2\"N, 76°19'12.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Ishim", + "source_format": "decimal_degrees", + "source_string": "56.112540, 69.487220", + "target_format": "DMS", + "ground_truth": { + "target_string": "56°6'45.1\"N, 69°29'14.0\"E", + "latitude": 56.11254, + "longitude": 69.48722 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 56.112540, 69.487220", + " Latitude: 56.11254°", + " Longitude: 69.48722°", + "Step 2: Convert latitude to DMS", + " Degrees = 56", + " Minutes = int((56.112540 - 56) × 60) = 6", + " Seconds = ((56.112540 - 56) × 60 - 6) × 60 = 45.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 69", + " Minutes = 29", + " Seconds = 14.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 56°6'45.1\"N, 69°29'14.0\"E", + "FINAL ANSWER: 56°6'45.1\"N, 69°29'14.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Puchi", + "source_format": "DMS", + "source_string": "33°32'4.8\"N, 104°48'51.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "33.534660, 104.814180", + "latitude": 33.53466, + "longitude": 104.81418 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 33°32'4.8\"N, 104°48'51.0\"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: 33.53466°", + "Step 4: Calculate longitude", + " Longitude: 104.81418°", + "FINAL ANSWER: 33.534660, 104.814180" + ] + }, + { + "task": "format_conversion", + "location_name": "Rājūra", + "source_format": "decimal_degrees", + "source_string": "19.779470, 79.364590", + "target_format": "DMS", + "ground_truth": { + "target_string": "19°46'46.1\"N, 79°21'52.5\"E", + "latitude": 19.77947, + "longitude": 79.36459 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 19.779470, 79.364590", + " Latitude: 19.77947°", + " Longitude: 79.36459°", + "Step 2: Convert latitude to DMS", + " Degrees = 19", + " Minutes = int((19.779470 - 19) × 60) = 46", + " Seconds = ((19.779470 - 19) × 60 - 46) × 60 = 46.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 79", + " Minutes = 21", + " Seconds = 52.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 19°46'46.1\"N, 79°21'52.5\"E", + "FINAL ANSWER: 19°46'46.1\"N, 79°21'52.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Tindouf", + "source_format": "DMS", + "source_string": "27°40'16.0\"N, 8°8'50.7\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "27.671110, -8.147430", + "latitude": 27.67111, + "longitude": -8.14743 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 27°40'16.0\"N, 8°8'50.7\"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: 27.67111°", + "Step 4: Calculate longitude", + " Longitude: -8.14743°", + "FINAL ANSWER: 27.671110, -8.147430" + ] + }, + { + "task": "format_conversion", + "location_name": "Sengerema", + "source_format": "DMS", + "source_string": "2°40'0.0\"S, 32°38'60.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-2.666670, 32.650000", + "latitude": -2.66667, + "longitude": 32.65 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 2°40'0.0\"S, 32°38'60.0\"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: -2.66667°", + "Step 4: Calculate longitude", + " Longitude: 32.65°", + "FINAL ANSWER: -2.666670, 32.650000" + ] + }, + { + "task": "format_conversion", + "location_name": "Parole", + "source_format": "decimal_degrees", + "source_string": "38.981000, -76.545000", + "target_format": "DMS", + "ground_truth": { + "target_string": "38°58'51.6\"N, 76°32'42.0\"W", + "latitude": 38.981, + "longitude": -76.545 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 38.981000, -76.545000", + " Latitude: 38.981°", + " Longitude: -76.545°", + "Step 2: Convert latitude to DMS", + " Degrees = 38", + " Minutes = int((38.981000 - 38) × 60) = 58", + " Seconds = ((38.981000 - 38) × 60 - 58) × 60 = 51.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 76", + " Minutes = 32", + " Seconds = 42.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 38°58'51.6\"N, 76°32'42.0\"W", + "FINAL ANSWER: 38°58'51.6\"N, 76°32'42.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Ängelholm", + "source_format": "DMS", + "source_string": "56°14'34.1\"N, 12°51'43.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "56.242800, 12.862190", + "latitude": 56.2428, + "longitude": 12.86219 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 56°14'34.1\"N, 12°51'43.9\"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: 56.2428°", + "Step 4: Calculate longitude", + " Longitude: 12.86219°", + "FINAL ANSWER: 56.242800, 12.862190" + ] + }, + { + "task": "format_conversion", + "location_name": "Cocorote", + "source_format": "DMS", + "source_string": "10°19'10.3\"N, 68°46'58.7\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "10.319540, -68.782980", + "latitude": 10.31954, + "longitude": -68.78298 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 10°19'10.3\"N, 68°46'58.7\"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: 10.31954°", + "Step 4: Calculate longitude", + " Longitude: -68.78298°", + "FINAL ANSWER: 10.319540, -68.782980" + ] + }, + { + "task": "format_conversion", + "location_name": "Puyallup", + "source_format": "decimal_degrees", + "source_string": "47.185380, -122.292900", + "target_format": "DMS", + "ground_truth": { + "target_string": "47°11'7.4\"N, 122°17'34.4\"W", + "latitude": 47.18538, + "longitude": -122.2929 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 47.185380, -122.292900", + " Latitude: 47.18538°", + " Longitude: -122.2929°", + "Step 2: Convert latitude to DMS", + " Degrees = 47", + " Minutes = int((47.185380 - 47) × 60) = 11", + " Seconds = ((47.185380 - 47) × 60 - 11) × 60 = 7.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 122", + " Minutes = 17", + " Seconds = 34.4", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 47°11'7.4\"N, 122°17'34.4\"W", + "FINAL ANSWER: 47°11'7.4\"N, 122°17'34.4\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Hlotse", + "source_format": "DMS", + "source_string": "28°52'18.7\"S, 28°2'42.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-28.871850, 28.045010", + "latitude": -28.87185, + "longitude": 28.04501 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 28°52'18.7\"S, 28°2'42.0\"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: -28.87185°", + "Step 4: Calculate longitude", + " Longitude: 28.04501°", + "FINAL ANSWER: -28.871850, 28.045010" + ] + }, + { + "task": "format_conversion", + "location_name": "Arzano", + "source_format": "DMS", + "source_string": "40°54'34.5\"N, 14°15'54.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.909590, 14.265190", + "latitude": 40.90959, + "longitude": 14.26519 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°54'34.5\"N, 14°15'54.7\"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: 40.90959°", + "Step 4: Calculate longitude", + " Longitude: 14.26519°", + "FINAL ANSWER: 40.909590, 14.265190" + ] + }, + { + "task": "format_conversion", + "location_name": "Clichy-sous-Bois", + "source_format": "DMS", + "source_string": "48°54'36.7\"N, 2°33'11.6\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "48.910200, 2.553230", + "latitude": 48.9102, + "longitude": 2.55323 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 48°54'36.7\"N, 2°33'11.6\"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: 48.9102°", + "Step 4: Calculate longitude", + " Longitude: 2.55323°", + "FINAL ANSWER: 48.910200, 2.553230" + ] + }, + { + "task": "format_conversion", + "location_name": "Benalmádena", + "source_format": "decimal_degrees", + "source_string": "36.596100, -4.572670", + "target_format": "DMS", + "ground_truth": { + "target_string": "36°35'46.0\"N, 4°34'21.6\"W", + "latitude": 36.5961, + "longitude": -4.57267 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 36.596100, -4.572670", + " Latitude: 36.5961°", + " Longitude: -4.57267°", + "Step 2: Convert latitude to DMS", + " Degrees = 36", + " Minutes = int((36.596100 - 36) × 60) = 35", + " Seconds = ((36.596100 - 36) × 60 - 35) × 60 = 46.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 4", + " Minutes = 34", + " Seconds = 21.6", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 36°35'46.0\"N, 4°34'21.6\"W", + "FINAL ANSWER: 36°35'46.0\"N, 4°34'21.6\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Bafoulabé", + "source_format": "DMS", + "source_string": "13°48'23.4\"N, 10°49'55.6\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "13.806500, -10.832100", + "latitude": 13.8065, + "longitude": -10.8321 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 13°48'23.4\"N, 10°49'55.6\"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: 13.8065°", + "Step 4: Calculate longitude", + " Longitude: -10.8321°", + "FINAL ANSWER: 13.806500, -10.832100" + ] + }, + { + "task": "format_conversion", + "location_name": "Bozhou", + "source_format": "decimal_degrees", + "source_string": "33.877220, 115.770280", + "target_format": "DMS", + "ground_truth": { + "target_string": "33°52'38.0\"N, 115°46'13.0\"E", + "latitude": 33.87722, + "longitude": 115.77028 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 33.877220, 115.770280", + " Latitude: 33.87722°", + " Longitude: 115.77028°", + "Step 2: Convert latitude to DMS", + " Degrees = 33", + " Minutes = int((33.877220 - 33) × 60) = 52", + " Seconds = ((33.877220 - 33) × 60 - 52) × 60 = 38.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 115", + " Minutes = 46", + " Seconds = 13.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 33°52'38.0\"N, 115°46'13.0\"E", + "FINAL ANSWER: 33°52'38.0\"N, 115°46'13.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Limonar", + "source_format": "DMS", + "source_string": "22°57'1.3\"N, 81°24'38.1\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "22.950350, -81.410590", + "latitude": 22.95035, + "longitude": -81.41059 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 22°57'1.3\"N, 81°24'38.1\"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: 22.95035°", + "Step 4: Calculate longitude", + " Longitude: -81.41059°", + "FINAL ANSWER: 22.950350, -81.410590" + ] + }, + { + "task": "format_conversion", + "location_name": "Ostankinskiy", + "source_format": "DMS", + "source_string": "55°49'46.5\"N, 37°36'57.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "55.829570, 37.616040", + "latitude": 55.82957, + "longitude": 37.61604 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 55°49'46.5\"N, 37°36'57.7\"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: 55.82957°", + "Step 4: Calculate longitude", + " Longitude: 37.61604°", + "FINAL ANSWER: 55.829570, 37.616040" + ] + }, + { + "task": "format_conversion", + "location_name": "Namsa", + "source_format": "DMS", + "source_string": "35°55'60.0\"N, 127°2'60.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "35.933330, 127.050000", + "latitude": 35.93333, + "longitude": 127.05 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 35°55'60.0\"N, 127°2'60.0\"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: 35.93333°", + "Step 4: Calculate longitude", + " Longitude: 127.05°", + "FINAL ANSWER: 35.933330, 127.050000" + ] + }, + { + "task": "format_conversion", + "location_name": "Bukit Rahman Putra", + "source_format": "DMS", + "source_string": "3°13'2.2\"N, 101°33'38.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "3.217270, 101.560800", + "latitude": 3.21727, + "longitude": 101.5608 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 3°13'2.2\"N, 101°33'38.9\"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: 3.21727°", + "Step 4: Calculate longitude", + " Longitude: 101.5608°", + "FINAL ANSWER: 3.217270, 101.560800" + ] + }, + { + "task": "format_conversion", + "location_name": "Paranaque City", + "source_format": "DMS", + "source_string": "14°28'53.6\"N, 121°1'3.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "14.481560, 121.017490", + "latitude": 14.48156, + "longitude": 121.01749 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 14°28'53.6\"N, 121°1'3.0\"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: 14.48156°", + "Step 4: Calculate longitude", + " Longitude: 121.01749°", + "FINAL ANSWER: 14.481560, 121.017490" + ] + }, + { + "task": "format_conversion", + "location_name": "Várzea da Palma", + "source_format": "decimal_degrees", + "source_string": "-17.597600, -44.733670", + "target_format": "DMS", + "ground_truth": { + "target_string": "17°35'51.4\"S, 44°44'1.2\"W", + "latitude": -17.5976, + "longitude": -44.73367 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -17.597600, -44.733670", + " Latitude: -17.5976°", + " Longitude: -44.73367°", + "Step 2: Convert latitude to DMS", + " Degrees = 17", + " Minutes = int((17.597600 - 17) × 60) = 35", + " Seconds = ((17.597600 - 17) × 60 - 35) × 60 = 51.4", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 44", + " Minutes = 44", + " Seconds = 1.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 17°35'51.4\"S, 44°44'1.2\"W", + "FINAL ANSWER: 17°35'51.4\"S, 44°44'1.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Wayne", + "source_format": "DMS", + "source_string": "40°2'38.4\"N, 75°23'15.7\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "40.044000, -75.387690", + "latitude": 40.044, + "longitude": -75.38769 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 40°2'38.4\"N, 75°23'15.7\"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: 40.044°", + "Step 4: Calculate longitude", + " Longitude: -75.38769°", + "FINAL ANSWER: 40.044000, -75.387690" + ] + }, + { + "task": "format_conversion", + "location_name": "Richmond", + "source_format": "decimal_degrees", + "source_string": "-37.818190, 145.001760", + "target_format": "DMS", + "ground_truth": { + "target_string": "37°49'5.5\"S, 145°0'6.3\"E", + "latitude": -37.81819, + "longitude": 145.00176 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -37.818190, 145.001760", + " Latitude: -37.81819°", + " Longitude: 145.00176°", + "Step 2: Convert latitude to DMS", + " Degrees = 37", + " Minutes = int((37.818190 - 37) × 60) = 49", + " Seconds = ((37.818190 - 37) × 60 - 49) × 60 = 5.5", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 145", + " Minutes = 0", + " Seconds = 6.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 37°49'5.5\"S, 145°0'6.3\"E", + "FINAL ANSWER: 37°49'5.5\"S, 145°0'6.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Canary Wharf", + "source_format": "DMS", + "source_string": "51°30'18.7\"N, 0°1'15.1\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "51.505190, -0.020850", + "latitude": 51.50519, + "longitude": -0.02085 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 51°30'18.7\"N, 0°1'15.1\"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: 51.50519°", + "Step 4: Calculate longitude", + " Longitude: -0.02085°", + "FINAL ANSWER: 51.505190, -0.020850" + ] + }, + { + "task": "format_conversion", + "location_name": "Liangping", + "source_format": "DMS", + "source_string": "30°39'39.9\"N, 107°45'58.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "30.661080, 107.766100", + "latitude": 30.66108, + "longitude": 107.7661 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 30°39'39.9\"N, 107°45'58.0\"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: 30.66108°", + "Step 4: Calculate longitude", + " Longitude: 107.7661°", + "FINAL ANSWER: 30.661080, 107.766100" + ] + }, + { + "task": "format_conversion", + "location_name": "Calais", + "source_format": "DMS", + "source_string": "50°57'7.0\"N, 1°51'22.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "50.951940, 1.856350", + "latitude": 50.95194, + "longitude": 1.85635 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 50°57'7.0\"N, 1°51'22.9\"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: 50.95194°", + "Step 4: Calculate longitude", + " Longitude: 1.85635°", + "FINAL ANSWER: 50.951940, 1.856350" + ] + }, + { + "task": "format_conversion", + "location_name": "Píritu", + "source_format": "DMS", + "source_string": "9°22'15.0\"N, 69°12'37.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "9.370830, -69.210280", + "latitude": 9.37083, + "longitude": -69.21028 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 9°22'15.0\"N, 69°12'37.0\"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: 9.37083°", + "Step 4: Calculate longitude", + " Longitude: -69.21028°", + "FINAL ANSWER: 9.370830, -69.210280" + ] + }, + { + "task": "format_conversion", + "location_name": "Voorburg", + "source_format": "decimal_degrees", + "source_string": "52.074170, 4.359720", + "target_format": "DMS", + "ground_truth": { + "target_string": "52°4'27.0\"N, 4°21'35.0\"E", + "latitude": 52.07417, + "longitude": 4.35972 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 52.074170, 4.359720", + " Latitude: 52.07417°", + " Longitude: 4.35972°", + "Step 2: Convert latitude to DMS", + " Degrees = 52", + " Minutes = int((52.074170 - 52) × 60) = 4", + " Seconds = ((52.074170 - 52) × 60 - 4) × 60 = 27.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 4", + " Minutes = 21", + " Seconds = 35.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 52°4'27.0\"N, 4°21'35.0\"E", + "FINAL ANSWER: 52°4'27.0\"N, 4°21'35.0\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Emmiganūr", + "source_format": "decimal_degrees", + "source_string": "15.772030, 77.483450", + "target_format": "DMS", + "ground_truth": { + "target_string": "15°46'19.3\"N, 77°29'0.4\"E", + "latitude": 15.77203, + "longitude": 77.48345 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 15.772030, 77.483450", + " Latitude: 15.77203°", + " Longitude: 77.48345°", + "Step 2: Convert latitude to DMS", + " Degrees = 15", + " Minutes = int((15.772030 - 15) × 60) = 46", + " Seconds = ((15.772030 - 15) × 60 - 46) × 60 = 19.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 77", + " Minutes = 29", + " Seconds = 0.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 15°46'19.3\"N, 77°29'0.4\"E", + "FINAL ANSWER: 15°46'19.3\"N, 77°29'0.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Wilsonville", + "source_format": "decimal_degrees", + "source_string": "45.299840, -122.773710", + "target_format": "DMS", + "ground_truth": { + "target_string": "45°17'59.4\"N, 122°46'25.4\"W", + "latitude": 45.29984, + "longitude": -122.77371 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 45.299840, -122.773710", + " Latitude: 45.29984°", + " Longitude: -122.77371°", + "Step 2: Convert latitude to DMS", + " Degrees = 45", + " Minutes = int((45.299840 - 45) × 60) = 17", + " Seconds = ((45.299840 - 45) × 60 - 17) × 60 = 59.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 122", + " Minutes = 46", + " Seconds = 25.4", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 45°17'59.4\"N, 122°46'25.4\"W", + "FINAL ANSWER: 45°17'59.4\"N, 122°46'25.4\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Xixiang", + "source_format": "DMS", + "source_string": "32°59'13.3\"N, 107°45'50.4\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "32.987030, 107.764000", + "latitude": 32.98703, + "longitude": 107.764 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 32°59'13.3\"N, 107°45'50.4\"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: 32.98703°", + "Step 4: Calculate longitude", + " Longitude: 107.764°", + "FINAL ANSWER: 32.987030, 107.764000" + ] + }, + { + "task": "format_conversion", + "location_name": "Irará", + "source_format": "decimal_degrees", + "source_string": "-12.050000, -38.766670", + "target_format": "DMS", + "ground_truth": { + "target_string": "12°3'0.0\"S, 38°46'0.0\"W", + "latitude": -12.05, + "longitude": -38.76667 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -12.050000, -38.766670", + " Latitude: -12.05°", + " Longitude: -38.76667°", + "Step 2: Convert latitude to DMS", + " Degrees = 12", + " Minutes = int((12.050000 - 12) × 60) = 3", + " Seconds = ((12.050000 - 12) × 60 - 3) × 60 = 0.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 38", + " Minutes = 46", + " Seconds = 0.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 12°3'0.0\"S, 38°46'0.0\"W", + "FINAL ANSWER: 12°3'0.0\"S, 38°46'0.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Tepeji del Río de Ocampo", + "source_format": "decimal_degrees", + "source_string": "19.904810, -99.343790", + "target_format": "DMS", + "ground_truth": { + "target_string": "19°54'17.3\"N, 99°20'37.6\"W", + "latitude": 19.90481, + "longitude": -99.34379 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 19.904810, -99.343790", + " Latitude: 19.90481°", + " Longitude: -99.34379°", + "Step 2: Convert latitude to DMS", + " Degrees = 19", + " Minutes = int((19.904810 - 19) × 60) = 54", + " Seconds = ((19.904810 - 19) × 60 - 54) × 60 = 17.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 99", + " Minutes = 20", + " Seconds = 37.6", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 19°54'17.3\"N, 99°20'37.6\"W", + "FINAL ANSWER: 19°54'17.3\"N, 99°20'37.6\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Billerica", + "source_format": "decimal_degrees", + "source_string": "42.558430, -71.268950", + "target_format": "DMS", + "ground_truth": { + "target_string": "42°33'30.3\"N, 71°16'8.2\"W", + "latitude": 42.55843, + "longitude": -71.26895 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 42.558430, -71.268950", + " Latitude: 42.55843°", + " Longitude: -71.26895°", + "Step 2: Convert latitude to DMS", + " Degrees = 42", + " Minutes = int((42.558430 - 42) × 60) = 33", + " Seconds = ((42.558430 - 42) × 60 - 33) × 60 = 30.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 71", + " Minutes = 16", + " Seconds = 8.2", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 42°33'30.3\"N, 71°16'8.2\"W", + "FINAL ANSWER: 42°33'30.3\"N, 71°16'8.2\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Saint-Cloud", + "source_format": "decimal_degrees", + "source_string": "48.845980, 2.202890", + "target_format": "DMS", + "ground_truth": { + "target_string": "48°50'45.5\"N, 2°12'10.4\"E", + "latitude": 48.84598, + "longitude": 2.20289 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 48.845980, 2.202890", + " Latitude: 48.84598°", + " Longitude: 2.20289°", + "Step 2: Convert latitude to DMS", + " Degrees = 48", + " Minutes = int((48.845980 - 48) × 60) = 50", + " Seconds = ((48.845980 - 48) × 60 - 50) × 60 = 45.5", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 2", + " Minutes = 12", + " Seconds = 10.4", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 48°50'45.5\"N, 2°12'10.4\"E", + "FINAL ANSWER: 48°50'45.5\"N, 2°12'10.4\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Makati City", + "source_format": "decimal_degrees", + "source_string": "14.550270, 121.032690", + "target_format": "DMS", + "ground_truth": { + "target_string": "14°33'1.0\"N, 121°1'57.7\"E", + "latitude": 14.55027, + "longitude": 121.03269 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 14.550270, 121.032690", + " Latitude: 14.55027°", + " Longitude: 121.03269°", + "Step 2: Convert latitude to DMS", + " Degrees = 14", + " Minutes = int((14.550270 - 14) × 60) = 33", + " Seconds = ((14.550270 - 14) × 60 - 33) × 60 = 1.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 121", + " Minutes = 1", + " Seconds = 57.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 14°33'1.0\"N, 121°1'57.7\"E", + "FINAL ANSWER: 14°33'1.0\"N, 121°1'57.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Divnoye", + "source_format": "DMS", + "source_string": "45°54'35.0\"N, 43°20'57.9\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "45.909730, 43.349430", + "latitude": 45.90973, + "longitude": 43.34943 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 45°54'35.0\"N, 43°20'57.9\"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: 45.90973°", + "Step 4: Calculate longitude", + " Longitude: 43.34943°", + "FINAL ANSWER: 45.909730, 43.349430" + ] + }, + { + "task": "format_conversion", + "location_name": "Suvorov", + "source_format": "decimal_degrees", + "source_string": "54.122300, 36.496570", + "target_format": "DMS", + "ground_truth": { + "target_string": "54°7'20.3\"N, 36°29'47.7\"E", + "latitude": 54.1223, + "longitude": 36.49657 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 54.122300, 36.496570", + " Latitude: 54.1223°", + " Longitude: 36.49657°", + "Step 2: Convert latitude to DMS", + " Degrees = 54", + " Minutes = int((54.122300 - 54) × 60) = 7", + " Seconds = ((54.122300 - 54) × 60 - 7) × 60 = 20.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 36", + " Minutes = 29", + " Seconds = 47.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 54°7'20.3\"N, 36°29'47.7\"E", + "FINAL ANSWER: 54°7'20.3\"N, 36°29'47.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Poços de Caldas", + "source_format": "DMS", + "source_string": "21°47'16.0\"S, 46°33'41.0\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-21.787780, -46.561390", + "latitude": -21.78778, + "longitude": -46.56139 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 21°47'16.0\"S, 46°33'41.0\"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: -21.78778°", + "Step 4: Calculate longitude", + " Longitude: -46.56139°", + "FINAL ANSWER: -21.787780, -46.561390" + ] + }, + { + "task": "format_conversion", + "location_name": "Minamiashigara", + "source_format": "decimal_degrees", + "source_string": "35.319470, 139.109600", + "target_format": "DMS", + "ground_truth": { + "target_string": "35°19'10.1\"N, 139°6'34.6\"E", + "latitude": 35.31947, + "longitude": 139.1096 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 35.319470, 139.109600", + " Latitude: 35.31947°", + " Longitude: 139.1096°", + "Step 2: Convert latitude to DMS", + " Degrees = 35", + " Minutes = int((35.319470 - 35) × 60) = 19", + " Seconds = ((35.319470 - 35) × 60 - 19) × 60 = 10.1", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 139", + " Minutes = 6", + " Seconds = 34.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 35°19'10.1\"N, 139°6'34.6\"E", + "FINAL ANSWER: 35°19'10.1\"N, 139°6'34.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Ben Mehidi", + "source_format": "DMS", + "source_string": "36°46'10.8\"N, 7°54'23.1\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "36.769670, 7.906410", + "latitude": 36.76967, + "longitude": 7.90641 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 36°46'10.8\"N, 7°54'23.1\"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: 36.76967°", + "Step 4: Calculate longitude", + " Longitude: 7.90641°", + "FINAL ANSWER: 36.769670, 7.906410" + ] + }, + { + "task": "format_conversion", + "location_name": "Wulong", + "source_format": "DMS", + "source_string": "29°19'27.5\"N, 107°45'38.0\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "29.324310, 107.760560", + "latitude": 29.32431, + "longitude": 107.76056 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 29°19'27.5\"N, 107°45'38.0\"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: 29.32431°", + "Step 4: Calculate longitude", + " Longitude: 107.76056°", + "FINAL ANSWER: 29.324310, 107.760560" + ] + }, + { + "task": "format_conversion", + "location_name": "Đồng Xoài", + "source_format": "DMS", + "source_string": "11°32'5.8\"N, 106°52'59.7\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "11.534950, 106.883240", + "latitude": 11.53495, + "longitude": 106.88324 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 11°32'5.8\"N, 106°52'59.7\"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: 11.53495°", + "Step 4: Calculate longitude", + " Longitude: 106.88324°", + "FINAL ANSWER: 11.534950, 106.883240" + ] + }, + { + "task": "format_conversion", + "location_name": "Riverdale", + "source_format": "DMS", + "source_string": "33°34'21.4\"N, 84°24'47.7\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "33.572610, -84.413260", + "latitude": 33.57261, + "longitude": -84.41326 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 33°34'21.4\"N, 84°24'47.7\"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: 33.57261°", + "Step 4: Calculate longitude", + " Longitude: -84.41326°", + "FINAL ANSWER: 33.572610, -84.413260" + ] + }, + { + "task": "format_conversion", + "location_name": "Shiyeli", + "source_format": "DMS", + "source_string": "44°10'14.1\"N, 66°44'1.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "44.170570, 66.733760", + "latitude": 44.17057, + "longitude": 66.73376 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 44°10'14.1\"N, 66°44'1.5\"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: 44.17057°", + "Step 4: Calculate longitude", + " Longitude: 66.73376°", + "FINAL ANSWER: 44.170570, 66.733760" + ] + }, + { + "task": "format_conversion", + "location_name": "Paignton", + "source_format": "DMS", + "source_string": "50°26'8.3\"N, 3°34'4.4\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "50.435650, -3.567890", + "latitude": 50.43565, + "longitude": -3.56789 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 50°26'8.3\"N, 3°34'4.4\"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: 50.43565°", + "Step 4: Calculate longitude", + " Longitude: -3.56789°", + "FINAL ANSWER: 50.435650, -3.567890" + ] + }, + { + "task": "format_conversion", + "location_name": "Yiwu", + "source_format": "DMS", + "source_string": "29°18'54.2\"N, 120°4'36.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "29.315060, 120.076760", + "latitude": 29.31506, + "longitude": 120.07676 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 29°18'54.2\"N, 120°4'36.3\"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: 29.31506°", + "Step 4: Calculate longitude", + " Longitude: 120.07676°", + "FINAL ANSWER: 29.315060, 120.076760" + ] + }, + { + "task": "format_conversion", + "location_name": "Chockli", + "source_format": "decimal_degrees", + "source_string": "11.727450, 75.555090", + "target_format": "DMS", + "ground_truth": { + "target_string": "11°43'38.8\"N, 75°33'18.3\"E", + "latitude": 11.72745, + "longitude": 75.55509 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 11.727450, 75.555090", + " Latitude: 11.72745°", + " Longitude: 75.55509°", + "Step 2: Convert latitude to DMS", + " Degrees = 11", + " Minutes = int((11.727450 - 11) × 60) = 43", + " Seconds = ((11.727450 - 11) × 60 - 43) × 60 = 38.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 75", + " Minutes = 33", + " Seconds = 18.3", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 11°43'38.8\"N, 75°33'18.3\"E", + "FINAL ANSWER: 11°43'38.8\"N, 75°33'18.3\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Palmira", + "source_format": "decimal_degrees", + "source_string": "3.539440, -76.303610", + "target_format": "DMS", + "ground_truth": { + "target_string": "3°32'22.0\"N, 76°18'13.0\"W", + "latitude": 3.53944, + "longitude": -76.30361 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 3.539440, -76.303610", + " Latitude: 3.53944°", + " Longitude: -76.30361°", + "Step 2: Convert latitude to DMS", + " Degrees = 3", + " Minutes = int((3.539440 - 3) × 60) = 32", + " Seconds = ((3.539440 - 3) × 60 - 32) × 60 = 22.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 76", + " Minutes = 18", + " Seconds = 13.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 3°32'22.0\"N, 76°18'13.0\"W", + "FINAL ANSWER: 3°32'22.0\"N, 76°18'13.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Werdohl", + "source_format": "decimal_degrees", + "source_string": "51.260110, 7.766080", + "target_format": "DMS", + "ground_truth": { + "target_string": "51°15'36.4\"N, 7°45'57.9\"E", + "latitude": 51.26011, + "longitude": 7.76608 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 51.260110, 7.766080", + " Latitude: 51.26011°", + " Longitude: 7.76608°", + "Step 2: Convert latitude to DMS", + " Degrees = 51", + " Minutes = int((51.260110 - 51) × 60) = 15", + " Seconds = ((51.260110 - 51) × 60 - 15) × 60 = 36.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 7", + " Minutes = 45", + " Seconds = 57.9", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 51°15'36.4\"N, 7°45'57.9\"E", + "FINAL ANSWER: 51°15'36.4\"N, 7°45'57.9\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Schiebroek", + "source_format": "DMS", + "source_string": "51°57'30.2\"N, 4°28'16.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "51.958380, 4.471240", + "latitude": 51.95838, + "longitude": 4.47124 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 51°57'30.2\"N, 4°28'16.5\"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: 51.95838°", + "Step 4: Calculate longitude", + " Longitude: 4.47124°", + "FINAL ANSWER: 51.958380, 4.471240" + ] + }, + { + "task": "format_conversion", + "location_name": "Villa Bruzual", + "source_format": "DMS", + "source_string": "9°19'54.7\"N, 69°7'10.8\"W", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "9.331860, -69.119680", + "latitude": 9.33186, + "longitude": -69.11968 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 9°19'54.7\"N, 69°7'10.8\"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: 9.33186°", + "Step 4: Calculate longitude", + " Longitude: -69.11968°", + "FINAL ANSWER: 9.331860, -69.119680" + ] + }, + { + "task": "format_conversion", + "location_name": "Guaiúba", + "source_format": "decimal_degrees", + "source_string": "-4.039720, -38.637220", + "target_format": "DMS", + "ground_truth": { + "target_string": "4°2'23.0\"S, 38°38'14.0\"W", + "latitude": -4.03972, + "longitude": -38.63722 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: -4.039720, -38.637220", + " Latitude: -4.03972°", + " Longitude: -38.63722°", + "Step 2: Convert latitude to DMS", + " Degrees = 4", + " Minutes = int((4.039720 - 4) × 60) = 2", + " Seconds = ((4.039720 - 4) × 60 - 2) × 60 = 23.0", + " Direction = S (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 38", + " Minutes = 38", + " Seconds = 14.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 4°2'23.0\"S, 38°38'14.0\"W", + "FINAL ANSWER: 4°2'23.0\"S, 38°38'14.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Gorzów Wielkopolski", + "source_format": "DMS", + "source_string": "52°44'1.4\"N, 15°13'30.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "52.733710, 15.225050", + "latitude": 52.73371, + "longitude": 15.22505 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 52°44'1.4\"N, 15°13'30.2\"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: 52.73371°", + "Step 4: Calculate longitude", + " Longitude: 15.22505°", + "FINAL ANSWER: 52.733710, 15.225050" + ] + }, + { + "task": "format_conversion", + "location_name": "Ad Dir‘īyah", + "source_format": "DMS", + "source_string": "24°45'6.7\"N, 46°32'19.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "24.751870, 46.538740", + "latitude": 24.75187, + "longitude": 46.53874 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 24°45'6.7\"N, 46°32'19.5\"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: 24.75187°", + "Step 4: Calculate longitude", + " Longitude: 46.53874°", + "FINAL ANSWER: 24.751870, 46.538740" + ] + }, + { + "task": "format_conversion", + "location_name": "Strunino", + "source_format": "decimal_degrees", + "source_string": "56.373280, 38.583210", + "target_format": "DMS", + "ground_truth": { + "target_string": "56°22'23.8\"N, 38°34'59.6\"E", + "latitude": 56.37328, + "longitude": 38.58321 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 56.373280, 38.583210", + " Latitude: 56.37328°", + " Longitude: 38.58321°", + "Step 2: Convert latitude to DMS", + " Degrees = 56", + " Minutes = int((56.373280 - 56) × 60) = 22", + " Seconds = ((56.373280 - 56) × 60 - 22) × 60 = 23.8", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 38", + " Minutes = 34", + " Seconds = 59.6", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 56°22'23.8\"N, 38°34'59.6\"E", + "FINAL ANSWER: 56°22'23.8\"N, 38°34'59.6\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Laylá", + "source_format": "decimal_degrees", + "source_string": "22.292060, 46.723760", + "target_format": "DMS", + "ground_truth": { + "target_string": "22°17'31.4\"N, 46°43'25.5\"E", + "latitude": 22.29206, + "longitude": 46.72376 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 22.292060, 46.723760", + " Latitude: 22.29206°", + " Longitude: 46.72376°", + "Step 2: Convert latitude to DMS", + " Degrees = 22", + " Minutes = int((22.292060 - 22) × 60) = 17", + " Seconds = ((22.292060 - 22) × 60 - 17) × 60 = 31.4", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 46", + " Minutes = 43", + " Seconds = 25.5", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 22°17'31.4\"N, 46°43'25.5\"E", + "FINAL ANSWER: 22°17'31.4\"N, 46°43'25.5\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Manor Park", + "source_format": "DMS", + "source_string": "51°32'57.6\"N, 0°2'55.2\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "51.549320, 0.048670", + "latitude": 51.54932, + "longitude": 0.04867 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 51°32'57.6\"N, 0°2'55.2\"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: 51.54932°", + "Step 4: Calculate longitude", + " Longitude: 0.04867°", + "FINAL ANSWER: 51.549320, 0.048670" + ] + }, + { + "task": "format_conversion", + "location_name": "Lianhe", + "source_format": "DMS", + "source_string": "47°7'60.0\"N, 129°16'27.3\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "47.133330, 129.274260", + "latitude": 47.13333, + "longitude": 129.27426 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 47°7'60.0\"N, 129°16'27.3\"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: 47.13333°", + "Step 4: Calculate longitude", + " Longitude: 129.27426°", + "FINAL ANSWER: 47.133330, 129.274260" + ] + }, + { + "task": "format_conversion", + "location_name": "Séguéla", + "source_format": "decimal_degrees", + "source_string": "7.961110, -6.673060", + "target_format": "DMS", + "ground_truth": { + "target_string": "7°57'40.0\"N, 6°40'23.0\"W", + "latitude": 7.96111, + "longitude": -6.67306 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 7.961110, -6.673060", + " Latitude: 7.96111°", + " Longitude: -6.67306°", + "Step 2: Convert latitude to DMS", + " Degrees = 7", + " Minutes = int((7.961110 - 7) × 60) = 57", + " Seconds = ((7.961110 - 7) × 60 - 57) × 60 = 40.0", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 6", + " Minutes = 40", + " Seconds = 23.0", + " Direction = W (positive = E, negative = W)", + "Step 4: Format result", + " 7°57'40.0\"N, 6°40'23.0\"W", + "FINAL ANSWER: 7°57'40.0\"N, 6°40'23.0\"W" + ] + }, + { + "task": "format_conversion", + "location_name": "Tayu", + "source_format": "DMS", + "source_string": "6°32'22.9\"S, 111°3'6.5\"E", + "target_format": "decimal_degrees", + "ground_truth": { + "target_string": "-6.539700, 111.051800", + "latitude": -6.5397, + "longitude": 111.0518 + }, + "reasoning_steps": [ + "Step 1: Parse DMS string", + " Input: 6°32'22.9\"S, 111°3'6.5\"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: -6.5397°", + "Step 4: Calculate longitude", + " Longitude: 111.0518°", + "FINAL ANSWER: -6.539700, 111.051800" + ] + }, + { + "task": "format_conversion", + "location_name": "Jietou", + "source_format": "decimal_degrees", + "source_string": "25.427400, 98.653240", + "target_format": "DMS", + "ground_truth": { + "target_string": "25°25'38.6\"N, 98°39'11.7\"E", + "latitude": 25.4274, + "longitude": 98.65324 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 25.427400, 98.653240", + " Latitude: 25.4274°", + " Longitude: 98.65324°", + "Step 2: Convert latitude to DMS", + " Degrees = 25", + " Minutes = int((25.427400 - 25) × 60) = 25", + " Seconds = ((25.427400 - 25) × 60 - 25) × 60 = 38.6", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 98", + " Minutes = 39", + " Seconds = 11.7", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 25°25'38.6\"N, 98°39'11.7\"E", + "FINAL ANSWER: 25°25'38.6\"N, 98°39'11.7\"E" + ] + }, + { + "task": "format_conversion", + "location_name": "Oktyabr’sk", + "source_format": "decimal_degrees", + "source_string": "53.166750, 48.697230", + "target_format": "DMS", + "ground_truth": { + "target_string": "53°10'0.3\"N, 48°41'50.0\"E", + "latitude": 53.16675, + "longitude": 48.69723 + }, + "reasoning_steps": [ + "Step 1: Parse decimal degrees", + " Input: 53.166750, 48.697230", + " Latitude: 53.16675°", + " Longitude: 48.69723°", + "Step 2: Convert latitude to DMS", + " Degrees = 53", + " Minutes = int((53.166750 - 53) × 60) = 10", + " Seconds = ((53.166750 - 53) × 60 - 10) × 60 = 0.3", + " Direction = N (positive = N, negative = S)", + "Step 3: Convert longitude to DMS", + " Degrees = 48", + " Minutes = 41", + " Seconds = 50.0", + " Direction = E (positive = E, negative = W)", + "Step 4: Format result", + " 53°10'0.3\"N, 48°41'50.0\"E", + "FINAL ANSWER: 53°10'0.3\"N, 48°41'50.0\"E" + ] + } +] \ No newline at end of file