0.0 0.0 1116.3 1555.2 1357.6 1479.0 1148.1 1771.1 1186.2 1796.5 1205.2 1885.4 1237.0 1993.4 1300.5 2006.1 1160.8 2025.1 1173.5 2037.8 1224.3 2050.5 1351.3 2241.0 1732.3 2133.1 1745.0 2190.2 1764.0 2291.8 1764.0 2342.6 1732.3 2393.4 1745.0 2418.8 1649.7 2431.5 1757.7 2520.4 2297.4 1771.1 2214.9 1428.2 2227.6 1339.3 2183.1 1320.3 2614.9 1110.7 2507.0 1161.5 2348.2 952.0 2221.2 1009.1 2208.5 1085.3 2202.2 1136.1 2214.9 1174.2 2024.4 1123.4 2043.4 1301.2 1948.2 1307.6 1941.8 1390.1 1846.6 1415.5 1757.7 1364.7 1802.1 1352.0 1833.9 1263.1 1732.3 1250.4 2043.4 1580.6 2049.8 1745.7 1999.0 1802.9 1960.9 1815.6 2056.1 1821.9 2011.7 1828.3 2043.4 1853.7 1846.6 1783.8 1821.2 1828.3 1846.6 1866.4 1814.8 1650.5 1668.8 1809.2 1859.3 2164.8 1986.3 2133.1 2011.7 2177.5 1948.2 2196.6 1891.0 2247.4 2011.7 2272.8 2037.1 2304.5 2056.1 2355.3 1897.4 2412.5 1897.4 2456.9 1916.4 2469.6 2056.1 2469.6 2157.7 2139.4 1637.0 2698.2 1706.9 2704.6 1764.0 2749.0 1706.9 2774.4 1764.0 2799.8 1872.0 3066.5 1852.9 3003.0 1872.0 2996.7 1897.4 2996.7 2214.9 2971.3 2195.8 2939.5 2246.6 2888.7 1891.0 2869.7 2202.2 2844.3 1903.7 2818.9 1872.0 2818.9 2011.7 2761.7 1903.7 2698.2 1954.5 2583.9 2056.1 2577.6 2094.2 2564.9 2195.8 2476.0 2589.5 2990.3 2608.6 2990.3 2507.0 3003.0 2894.3 3047.5 2894.3 3003.0 2907.0 2971.3 3027.7 3047.5 2792.7 2812.5 2227.6 2812.5 2583.2 2799.8 2595.9 2774.4 2507.0 2774.4 2722.9 2755.4 2614.9 2749.0 2888.0 2730.0 3211.8 2730.0 3142.0 2717.3 2754.6 2698.2 2456.2 2698.2 2570.5 2622.0 2722.9 2622.0 3364.2 2622.0 2900.7 2615.7 3135.6 2603.0 2710.2 2596.6 2716.5 2545.8 2888.0 2533.1 2849.9 2514.1 2297.4 2514.1 2608.6 2495.0 3224.5 2488.7 2691.1 2476.0 2875.3 2437.9 2500.6 2418.8 2430.8 2399.8 2875.3 2399.8 3129.3 2368.0 2583.2 2368.0 2494.3 2368.0 2780.0 2361.7 2335.5 2355.3 2614.9 2317.2 2926.1 2304.5 2805.4 2291.8 2583.2 2291.8 2824.5 2285.5 2862.6 2279.1 2799.1 2260.1 2691.1 2260.1 2754.6 2253.7 2913.4 2253.7 2348.2 2241.0 2907.0 2234.7 3135.6 2234.7 2926.1 2228.3 3434.1 2202.9 2881.6 2190.2 2602.2 2190.2 2710.2 2164.8 2792.7 2145.8 2824.5 2133.1 2424.4 2107.7 2868.9 2101.3 3434.1 2101.3 2614.9 2088.6 3078.5 2082.3 2589.5 2075.9 2487.9 2063.2 2735.6 2063.2 3446.8 2044.2 3351.5 2031.5 2627.6 2018.8 2697.5 2006.1 2487.9 1993.4 2684.8 1974.3 2462.5 1968.0 3135.6 1968.0 3396.0 1968.0 2748.3 1961.6 2722.9 1961.6 3230.9 1955.3 2970.5 1942.6 2475.2 1936.2 2513.3 1923.5 2926.1 1917.2 2494.3 1910.8 2614.9 1904.5 2519.7 1891.8 2589.5 1891.8 3408.7 1891.8 3643.6 1891.8 2786.4 1885.4 2659.4 1885.4 2494.3 1879.1 2957.8 1879.1 3459.5 1879.1 3053.1 1866.4 2773.7 1866.4 2710.2 1866.4 3237.2 1853.7 3326.1 1853.7 2735.6 1847.3 2494.3 1834.6 3269.0 1834.6 3307.1 1834.6 3364.2 1834.6 2672.1 1828.3 3351.5 1821.9 3472.2 1821.9 2868.9 1815.6 2811.8 1809.2 3351.5 1802.9 3294.4 1796.5 2545.1 1796.5 3110.2 1777.5 3161.0 1777.5 3281.7 1777.5 3338.8 1758.4 2995.9 1758.4 3199.1 1720.3 3002.3 1720.3 2634.0 1720.3 2507.0 1707.6 2964.2 1707.6 3059.4 1707.6 3097.5 1707.6 3643.6 1707.6 2805.4 1701.3 2583.2 1694.9 3078.5 1694.9 2894.3 1688.6 3148.3 1682.2 3218.2 1663.2 3199.1 1663.2 2729.2 1663.2 2951.5 1650.5 2430.8 1644.1 2507.0 1631.4 3599.2 1631.4 3135.6 1625.1 3078.5 1625.1 3059.4 1625.1 2773.7 1625.1 2913.4 1618.7 3307.1 1618.7 3135.6 1606.0 3015.0 1606.0 2424.4 1599.7 2830.8 1593.3 3294.4 1593.3 3129.3 1580.6 3376.9 1567.9 2614.9 1567.9 2932.4 1548.9 3046.2 1547.3 3072.2 1547.3 3098.2 1547.3 3124.2 1547.3 3150.2 1547.3 3176.2 1547.3 3202.2 1547.3 3228.2 1547.3 3254.2 1547.3 3280.2 1547.3 3306.2 1547.3 3332.2 1547.3 3358.2 1547.3 2722.9 1536.2 3065.7 1524.6 3111.2 1524.6 3137.2 1524.6 3163.2 1524.6 3189.2 1524.6 3215.2 1524.6 3241.2 1524.6 3267.2 1524.6 3293.2 1524.6 3345.2 1524.6 2437.1 1523.5 2964.2 1510.8 2741.9 1504.4 2430.8 1504.4 3413.5 1498.6 2997.5 1492.1 2824.5 1485.4 3020.2 1479.1 3390.7 1479.1 3413.5 1472.6 2837.2 1466.3 2608.6 1466.3 2997.5 1466.1 3104.7 1466.1 3130.7 1466.1 3156.7 1466.1 3182.7 1466.1 3208.7 1466.1 3234.7 1466.1 3260.7 1466.1 3286.7 1466.1 3312.7 1466.1 3413.5 1446.6 3078.7 1446.6 3117.7 1443.3 3143.7 1443.3 3169.7 1443.3 3195.7 1443.3 3221.7 1443.3 3247.7 1443.3 3273.7 1443.3 2900.7 1440.9 2691.1 1440.9 2997.5 1440.1 3332.2 1440.1 2437.1 1434.6 3390.7 1433.6 3309.5 1427.1 3020.2 1427.1 2583.2 1421.9 3078.7 1420.6 3413.5 1420.6 3283.5 1417.3 3127.5 1417.3 2997.5 1414.1 3332.2 1414.1 3237.2 1409.2 3199.1 1409.2 3101.5 1407.6 3390.7 1407.6 3440.4 1402.8 2951.5 1402.8 3020.2 1401.1 3309.5 1401.1 3413.5 1394.6 3078.7 1394.6 3161.0 1390.1 2997.5 1388.1 3332.2 1388.1 2938.8 1383.8 2875.3 1383.8 3101.5 1381.6 3390.7 1381.6 3139.9 1375.4 3020.2 1375.1 3309.5 1375.1 3413.5 1368.6 3078.7 1368.6 2799.1 1364.7 3599.2 1364.7 3332.2 1362.1 2997.5 1362.1 3101.5 1355.6 3390.7 1355.6 3269.0 1352.0 2919.7 1352.0 2837.2 1352.0 3020.2 1349.1 3309.5 1349.1 2875.3 1345.7 3078.7 1342.6 3413.5 1342.6 3484.9 1339.3 2970.5 1339.3 2997.5 1336.1 3332.2 1336.1 2913.4 1333.0 3101.5 1329.6 3390.7 1329.6 3309.5 1323.1 3243.6 1323.1 3020.2 1323.1 2957.8 1320.3 3154.7 1320.3 3078.7 1316.6 3413.5 1316.6 3611.9 1313.9 3332.2 1310.1 2997.5 1310.1 3101.5 1303.6 3390.7 1303.6 3309.5 1297.1 3020.2 1297.1 2849.9 1294.9 2875.3 1294.9 2900.7 1294.9 3542.0 1294.9 3413.5 1290.6 3078.7 1290.6 3173.7 1288.5 3332.2 1284.1 2997.5 1284.1 3101.5 1277.6 3390.7 1277.6 3309.5 1271.1 3020.2 1271.1 2767.3 1269.5 3078.7 1264.6 3413.5 1264.6 2602.2 1263.1 3127.5 1261.3 3283.5 1261.3 3332.2 1258.1 2997.5 1258.1 2881.6 1256.8 2792.7 1256.8 2557.8 1256.8 3101.5 1251.6 3390.7 1251.6 3478.5 1250.4 3020.2 1245.1 2919.7 1244.1 2818.1 1244.1 2519.7 1244.1 3078.7 1238.6 3413.5 1238.6 3293.2 1235.3 3267.2 1235.3 3241.2 1235.3 3215.2 1235.3 3189.2 1235.3 3163.2 1235.3 3137.2 1235.3 2997.5 1232.1 3332.2 1232.1 2881.6 1225.0 3098.2 1212.6 3124.2 1212.6 3150.2 1212.6 3176.2 1212.6 3202.2 1212.6 3228.2 1212.6 3254.2 1212.6 3280.2 1212.6 3306.2 1212.6 3413.5 1212.6 2589.5 1212.3 2570.5 1212.3 2997.5 1206.1 3020.2 1199.6 3390.7 1199.6 3459.5 1199.6 3484.9 1199.6 2659.4 1193.3 3413.5 1186.6 2938.8 1180.4 2997.5 1180.1 3065.7 1154.1 3117.7 1154.1 3143.7 1154.1 3169.7 1154.1 3195.7 1154.1 3221.7 1154.1 3247.7 1154.1 3273.7 1154.1 3299.7 1154.1 3345.2 1154.1 2926.1 1142.5 3052.7 1131.3 3078.7 1131.3 3104.7 1131.3 3130.7 1131.3 3156.7 1131.3 3182.7 1131.3 3208.7 1131.3 3234.7 1131.3 3260.7 1131.3 3286.7 1131.3 3312.7 1131.3 3338.7 1131.3 3364.7 1131.3 2741.9 1129.8 2862.6 1123.4 3065.8 1098.0 3034.0 1091.7 2875.3 1079.0 2792.7 1040.9 2900.7 1028.2 2837.2 1021.8 2945.1 1015.5 2862.6 1009.1 2938.8 831.3 3072.1 932.9 3059.4 952.0 3034.0 964.7 3065.8 971.0 3091.2 990.1 3205.5 983.7 3408.7 875.8 3459.5 920.2 3510.3 1015.5 3364.2 1015.5 3383.3 1028.2 3497.6 1028.2 3396.0 1053.6 3294.4 1053.6 3516.6 1072.6 3218.2 1098.0 3567.4 1104.4 3554.7 1123.4 3396.0 1123.4 3548.4 1142.5 3529.3 1155.2 3408.7 1161.5 3472.2 1174.2 3694.4 1301.2 3745.2 1275.8 3745.2 1021.8 output 1 2 4 5 6 9 10 11 7 8 12 19 18 17 16 15 14 13 53 57 56 54 55 65 58 59 60 64 87 116 86 85 84 63 62 61 20 66 67 69 68 70 72 71 73 74 78 81 80 83 82 96 79 77 76 75 90 88 89 91 94 92 93 95 100 101 98 97 99 106 107 117 119 113 112 108 105 102 110 114 115 120 123 127 136 137 135 131 133 134 130 138 140 142 144 150 148 147 146 156 166 167 162 160 159 154 152 145 132 129 125 126 121 122 128 139 149 155 161 163 170 173 171 175 181 190 21 224 235 266 269 301 305 277 298 268 255 240 225 210 216 209 201 176 174 180 194 186 189 185 179 198 197 182 172 169 184 202 203 207 204 200 205 199 195 193 188 192 191 187 168 164 153 141 124 118 111 104 103 109 143 151 157 158 165 177 183 196 178 214 226 239 254 265 253 252 237 232 220 221 219 213 217 212 208 206 211 218 215 222 230 236 272 276 297 317 325 341 352 345 326 342 334 382 391 398 369 370 371 390 397 411 458 461 443 431 432 425 424 409 389 396 381 368 377 364 358 349 350 357 343 337 323 330 318 304 310 299 278 273 271 267 241 231 223 234 229 228 227 233 238 245 246 247 248 249 250 251 264 263 262 261 260 259 258 257 244 243 242 256 279 289 306 321 314 327 338 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