Created
August 26, 2012 17:19
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| #include <stdint.h> | |
| const uint32_t squares[] = { | |
| 0ul, 1ul, 4ul, 9ul, 16ul, 25ul, 36ul, 49ul, | |
| 64ul, 81ul, 100ul, 121ul, 144ul, 169ul, 196ul, 225ul, | |
| 256ul, 289ul, 324ul, 361ul, 400ul, 441ul, 484ul, 529ul, | |
| 576ul, 625ul, 676ul, 729ul, 784ul, 841ul, 900ul, 961ul, | |
| 1024ul, 1089ul, 1156ul, 1225ul, 1296ul, 1369ul, 1444ul, 1521ul, | |
| 1600ul, 1681ul, 1764ul, 1849ul, 1936ul, 2025ul, 2116ul, 2209ul, | |
| 2304ul, 2401ul, 2500ul, 2601ul, 2704ul, 2809ul, 2916ul, 3025ul, | |
| 3136ul, 3249ul, 3364ul, 3481ul, 3600ul, 3721ul, 3844ul, 3969ul, | |
| 4096ul, 4225ul, 4356ul, 4489ul, 4624ul, 4761ul, 4900ul, 5041ul, | |
| 5184ul, 5329ul, 5476ul, 5625ul, 5776ul, 5929ul, 6084ul, 6241ul, | |
| 6400ul, 6561ul, 6724ul, 6889ul, 7056ul, 7225ul, 7396ul, 7569ul, | |
| 7744ul, 7921ul, 8100ul, 8281ul, 8464ul, 8649ul, 8836ul, 9025ul, | |
| 9216ul, 9409ul, 9604ul, 9801ul, 10000ul, 10201ul, 10404ul, 10609ul, | |
| 10816ul, 11025ul, 11236ul, 11449ul, 11664ul, 11881ul, 12100ul, 12321ul, | |
| 12544ul, 12769ul, 12996ul, 13225ul, 13456ul, 13689ul, 13924ul, 14161ul, | |
| 14400ul, 14641ul, 14884ul, 15129ul, 15376ul, 15625ul, 15876ul, 16129ul, | |
| 16384ul, 16641ul, 16900ul, 17161ul, 17424ul, 17689ul, 17956ul, 18225ul, | |
| 18496ul, 18769ul, 19044ul, 19321ul, 19600ul, 19881ul, 20164ul, 20449ul, | |
| 20736ul, 21025ul, 21316ul, 21609ul, 21904ul, 22201ul, 22500ul, 22801ul, | |
| 23104ul, 23409ul, 23716ul, 24025ul, 24336ul, 24649ul, 24964ul, 25281ul, | |
| 25600ul, 25921ul, 26244ul, 26569ul, 26896ul, 27225ul, 27556ul, 27889ul, | |
| 28224ul, 28561ul, 28900ul, 29241ul, 29584ul, 29929ul, 30276ul, 30625ul, | |
| 30976ul, 31329ul, 31684ul, 32041ul, 32400ul, 32761ul, 33124ul, 33489ul, | |
| 33856ul, 34225ul, 34596ul, 34969ul, 35344ul, 35721ul, 36100ul, 36481ul, | |
| 36864ul, 37249ul, 37636ul, 38025ul, 38416ul, 38809ul, 39204ul, 39601ul, | |
| 40000ul, 40401ul, 40804ul, 41209ul, 41616ul, 42025ul, 42436ul, 42849ul, | |
| 43264ul, 43681ul, 44100ul, 44521ul, 44944ul, 45369ul, 45796ul, 46225ul, | |
| 46656ul, 47089ul, 47524ul, 47961ul, 48400ul, 48841ul, 49284ul, 49729ul, | |
| 50176ul, 50625ul, 51076ul, 51529ul, 51984ul, 52441ul, 52900ul, 53361ul, | |
| 53824ul, 54289ul, 54756ul, 55225ul, 55696ul, 56169ul, 56644ul, 57121ul, | |
| 57600ul, 58081ul, 58564ul, 59049ul, 59536ul, 60025ul, 60516ul, 61009ul, | |
| 61504ul, 62001ul, 62500ul, 63001ul, 63504ul, 64009ul, 64516ul, 65025ul, | |
| 65536ul, 66049ul, 66564ul, 67081ul, 67600ul, 68121ul, 68644ul, 69169ul, | |
| 69696ul, 70225ul, 70756ul, 71289ul, 71824ul, 72361ul, 72900ul, 73441ul, | |
| 73984ul, 74529ul, 75076ul, 75625ul, 76176ul, 76729ul, 77284ul, 77841ul, | |
| 78400ul, 78961ul, 79524ul, 80089ul, 80656ul, 81225ul, 81796ul, 82369ul, | |
| 82944ul, 83521ul, 84100ul, 84681ul, 85264ul, 85849ul, 86436ul, 87025ul, | |
| 87616ul, 88209ul, 88804ul, 89401ul, 90000ul, 90601ul, 91204ul, 91809ul, | |
| 92416ul, 93025ul, 93636ul, 94249ul, 94864ul, 95481ul, 96100ul, 96721ul, | |
| 97344ul, 97969ul, 98596ul, 99225ul, 99856ul, 100489ul, 101124ul, 101761ul, | |
| 102400ul, 103041ul, 103684ul, 104329ul, 104976ul, 105625ul, 106276ul, 106929ul, | |
| 107584ul, 108241ul, 108900ul, 109561ul, 110224ul, 110889ul, 111556ul, 112225ul, | |
| 112896ul, 113569ul, 114244ul, 114921ul, 115600ul, 116281ul, 116964ul, 117649ul, | |
| 118336ul, 119025ul, 119716ul, 120409ul, 121104ul, 121801ul, 122500ul, 123201ul, | |
| 123904ul, 124609ul, 125316ul, 126025ul, 126736ul, 127449ul, 128164ul, 128881ul, | |
| 129600ul, 130321ul, 131044ul, 131769ul, 132496ul, 133225ul, 133956ul, 134689ul, | |
| 135424ul, 136161ul, 136900ul, 137641ul, 138384ul, 139129ul, 139876ul, 140625ul, | |
| 141376ul, 142129ul, 142884ul, 143641ul, 144400ul, 145161ul, 145924ul, 146689ul, | |
| 147456ul, 148225ul, 148996ul, 149769ul, 150544ul, 151321ul, 152100ul, 152881ul, | |
| 153664ul, 154449ul, 155236ul, 156025ul, 156816ul, 157609ul, 158404ul, 159201ul, | |
| 160000ul, 160801ul, 161604ul, 162409ul, 163216ul, 164025ul, 164836ul, 165649ul, | |
| 166464ul, 167281ul, 168100ul, 168921ul, 169744ul, 170569ul, 171396ul, 172225ul, | |
| 173056ul, 173889ul, 174724ul, 175561ul, 176400ul, 177241ul, 178084ul, 178929ul, | |
| 179776ul, 180625ul, 181476ul, 182329ul, 183184ul, 184041ul, 184900ul, 185761ul, | |
| 186624ul, 187489ul, 188356ul, 189225ul, 190096ul, 190969ul, 191844ul, 192721ul, | |
| 193600ul, 194481ul, 195364ul, 196249ul, 197136ul, 198025ul, 198916ul, 199809ul, | |
| 200704ul, 201601ul, 202500ul, 203401ul, 204304ul, 205209ul, 206116ul, 207025ul, | |
| 207936ul, 208849ul, 209764ul, 210681ul, 211600ul, 212521ul, 213444ul, 214369ul, | |
| 215296ul, 216225ul, 217156ul, 218089ul, 219024ul, 219961ul, 220900ul, 221841ul, | |
| 222784ul, 223729ul, 224676ul, 225625ul, 226576ul, 227529ul, 228484ul, 229441ul, | |
| 230400ul, 231361ul, 232324ul, 233289ul, 234256ul, 235225ul, 236196ul, 237169ul, | |
| 238144ul, 239121ul, 240100ul, 241081ul, 242064ul, 243049ul, 244036ul, 245025ul, | |
| 246016ul, 247009ul, 248004ul, 249001ul, 250000ul, 251001ul, 252004ul, 253009ul, | |
| 254016ul, 255025ul, 256036ul, 257049ul, 258064ul, 259081ul, 260100ul, 261121ul, | |
| 262144ul, 263169ul, 264196ul, 265225ul, 266256ul, 267289ul, 268324ul, 269361ul, | |
| 270400ul, 271441ul, 272484ul, 273529ul, 274576ul, 275625ul, 276676ul, 277729ul, | |
| 278784ul, 279841ul, 280900ul, 281961ul, 283024ul, 284089ul, 285156ul, 286225ul, | |
| 287296ul, 288369ul, 289444ul, 290521ul, 291600ul, 292681ul, 293764ul, 294849ul, | |
| 295936ul, 297025ul, 298116ul, 299209ul, 300304ul, 301401ul, 302500ul, 303601ul, | |
| 304704ul, 305809ul, 306916ul, 308025ul, 309136ul, 310249ul, 311364ul, 312481ul, | |
| 313600ul, 314721ul, 315844ul, 316969ul, 318096ul, 319225ul, 320356ul, 321489ul, | |
| 322624ul, 323761ul, 324900ul, 326041ul, 327184ul, 328329ul, 329476ul, 330625ul, | |
| 331776ul, 332929ul, 334084ul, 335241ul, 336400ul, 337561ul, 338724ul, 339889ul, | |
| 341056ul, 342225ul, 343396ul, 344569ul, 345744ul, 346921ul, 348100ul, 349281ul, | |
| 350464ul, 351649ul, 352836ul, 354025ul, 355216ul, 356409ul, 357604ul, 358801ul, | |
| 360000ul, 361201ul, 362404ul, 363609ul, 364816ul, 366025ul, 367236ul, 368449ul, | |
| 369664ul, 370881ul, 372100ul, 373321ul, 374544ul, 375769ul, 376996ul, 378225ul, | |
| 379456ul, 380689ul, 381924ul, 383161ul, 384400ul, 385641ul, 386884ul, 388129ul, | |
| 389376ul, 390625ul, 391876ul, 393129ul, 394384ul, 395641ul, 396900ul, 398161ul, | |
| 399424ul, 400689ul, 401956ul, 403225ul, 404496ul, 405769ul, 407044ul, 408321ul, | |
| 409600ul, 410881ul, 412164ul, 413449ul, 414736ul, 416025ul, 417316ul, 418609ul, | |
| 419904ul, 421201ul, 422500ul, 423801ul, 425104ul, 426409ul, 427716ul, 429025ul, | |
| 430336ul, 431649ul, 432964ul, 434281ul, 435600ul, 436921ul, 438244ul, 439569ul, | |
| 440896ul, 442225ul, 443556ul, 444889ul, 446224ul, 447561ul, 448900ul, 450241ul, | |
| 451584ul, 452929ul, 454276ul, 455625ul, 456976ul, 458329ul, 459684ul, 461041ul, | |
| 462400ul, 463761ul, 465124ul, 466489ul, 467856ul, 469225ul, 470596ul, 471969ul, | |
| 473344ul, 474721ul, 476100ul, 477481ul, 478864ul, 480249ul, 481636ul, 483025ul, | |
| 484416ul, 485809ul, 487204ul, 488601ul, 490000ul, 491401ul, 492804ul, 494209ul, | |
| 495616ul, 497025ul, 498436ul, 499849ul, 501264ul, 502681ul, 504100ul, 505521ul, | |
| 506944ul, 508369ul, 509796ul, 511225ul, 512656ul, 514089ul, 515524ul, 516961ul, | |
| 518400ul, 519841ul, 521284ul, 522729ul, 524176ul, 525625ul, 527076ul, 528529ul, | |
| 529984ul, 531441ul, 532900ul, 534361ul, 535824ul, 537289ul, 538756ul, 540225ul, | |
| 541696ul, 543169ul, 544644ul, 546121ul, 547600ul, 549081ul, 550564ul, 552049ul, | |
| 553536ul, 555025ul, 556516ul, 558009ul, 559504ul, 561001ul, 562500ul, 564001ul, | |
| 565504ul, 567009ul, 568516ul, 570025ul, 571536ul, 573049ul, 574564ul, 576081ul, | |
| 577600ul, 579121ul, 580644ul, 582169ul, 583696ul, 585225ul, 586756ul, 588289ul, | |
| 589824ul, 591361ul, 592900ul, 594441ul, 595984ul, 597529ul, 599076ul, 600625ul, | |
| 602176ul, 603729ul, 605284ul, 606841ul, 608400ul, 609961ul, 611524ul, 613089ul, | |
| 614656ul, 616225ul, 617796ul, 619369ul, 620944ul, 622521ul, 624100ul, 625681ul, | |
| 627264ul, 628849ul, 630436ul, 632025ul, 633616ul, 635209ul, 636804ul, 638401ul, | |
| 640000ul, 641601ul, 643204ul, 644809ul, 646416ul, 648025ul, 649636ul, 651249ul, | |
| 652864ul, 654481ul, 656100ul, 657721ul, 659344ul, 660969ul, 662596ul, 664225ul, | |
| 665856ul, 667489ul, 669124ul, 670761ul, 672400ul, 674041ul, 675684ul, 677329ul, | |
| 678976ul, 680625ul, 682276ul, 683929ul, 685584ul, 687241ul, 688900ul, 690561ul, | |
| 692224ul, 693889ul, 695556ul, 697225ul, 698896ul, 700569ul, 702244ul, 703921ul, | |
| 705600ul, 707281ul, 708964ul, 710649ul, 712336ul, 714025ul, 715716ul, 717409ul, | |
| 719104ul, 720801ul, 722500ul, 724201ul, 725904ul, 727609ul, 729316ul, 731025ul, | |
| 732736ul, 734449ul, 736164ul, 737881ul, 739600ul, 741321ul, 743044ul, 744769ul, | |
| 746496ul, 748225ul, 749956ul, 751689ul, 753424ul, 755161ul, 756900ul, 758641ul, | |
| 760384ul, 762129ul, 763876ul, 765625ul, 767376ul, 769129ul, 770884ul, 772641ul, | |
| 774400ul, 776161ul, 777924ul, 779689ul, 781456ul, 783225ul, 784996ul, 786769ul, | |
| 788544ul, 790321ul, 792100ul, 793881ul, 795664ul, 797449ul, 799236ul, 801025ul, | |
| 802816ul, 804609ul, 806404ul, 808201ul, 810000ul, 811801ul, 813604ul, 815409ul, | |
| 817216ul, 819025ul, 820836ul, 822649ul, 824464ul, 826281ul, 828100ul, 829921ul, | |
| 831744ul, 833569ul, 835396ul, 837225ul, 839056ul, 840889ul, 842724ul, 844561ul, | |
| 846400ul, 848241ul, 850084ul, 851929ul, 853776ul, 855625ul, 857476ul, 859329ul, | |
| 861184ul, 863041ul, 864900ul, 866761ul, 868624ul, 870489ul, 872356ul, 874225ul, | |
| 876096ul, 877969ul, 879844ul, 881721ul, 883600ul, 885481ul, 887364ul, 889249ul, | |
| 891136ul, 893025ul, 894916ul, 896809ul, 898704ul, 900601ul, 902500ul, 904401ul, | |
| 906304ul, 908209ul, 910116ul, 912025ul, 913936ul, 915849ul, 917764ul, 919681ul, | |
| 921600ul, 923521ul, 925444ul, 927369ul, 929296ul, 931225ul, 933156ul, 935089ul, | |
| 937024ul, 938961ul, 940900ul, 942841ul, 944784ul, 946729ul, 948676ul, 950625ul, | |
| 952576ul, 954529ul, 956484ul, 958441ul, 960400ul, 962361ul, 964324ul, 966289ul, | |
| 968256ul, 970225ul, 972196ul, 974169ul, 976144ul, 978121ul, 980100ul, 982081ul, | |
| 984064ul, 986049ul, 988036ul, 990025ul, 992016ul, 994009ul, 996004ul, 998001ul, | |
| 1000000ul, 1002001ul, 1004004ul, 1006009ul, 1008016ul, 1010025ul, 1012036ul, 1014049ul, | |
| 1016064ul, 1018081ul, 1020100ul, 1022121ul, 1024144ul, 1026169ul, 1028196ul, 1030225ul, | |
| 1032256ul, 1034289ul, 1036324ul, 1038361ul, 1040400ul, 1042441ul, 1044484ul, 1046529ul, | |
| 1048576ul, 1050625ul, 1052676ul, 1054729ul, 1056784ul, 1058841ul, 1060900ul, 1062961ul, | |
| 1065024ul, 1067089ul, 1069156ul, 1071225ul, 1073296ul, 1075369ul, 1077444ul, 1079521ul, | |
| 1081600ul, 1083681ul, 1085764ul, 1087849ul, 1089936ul, 1092025ul, 1094116ul, 1096209ul, | |
| 1098304ul, 1100401ul, 1102500ul, 1104601ul, 1106704ul, 1108809ul, 1110916ul, 1113025ul, | |
| 1115136ul, 1117249ul, 1119364ul, 1121481ul, 1123600ul, 1125721ul, 1127844ul, 1129969ul, | |
| 1132096ul, 1134225ul, 1136356ul, 1138489ul, 1140624ul, 1142761ul, 1144900ul, 1147041ul, | |
| 1149184ul, 1151329ul, 1153476ul, 1155625ul, 1157776ul, 1159929ul, 1162084ul, 1164241ul, | |
| 1166400ul, 1168561ul, 1170724ul, 1172889ul, 1175056ul, 1177225ul, 1179396ul, 1181569ul, | |
| 1183744ul, 1185921ul, 1188100ul, 1190281ul, 1192464ul, 1194649ul, 1196836ul, 1199025ul, | |
| 1201216ul, 1203409ul, 1205604ul, 1207801ul, 1210000ul, 1212201ul, 1214404ul, 1216609ul, | |
| 1218816ul, 1221025ul, 1223236ul, 1225449ul, 1227664ul, 1229881ul, 1232100ul, 1234321ul, | |
| 1236544ul, 1238769ul, 1240996ul, 1243225ul, 1245456ul, 1247689ul, 1249924ul, 1252161ul, | |
| 1254400ul, 1256641ul, 1258884ul, 1261129ul, 1263376ul, 1265625ul, 1267876ul, 1270129ul, | |
| 1272384ul, 1274641ul, 1276900ul, 1279161ul, 1281424ul, 1283689ul, 1285956ul, 1288225ul, | |
| 1290496ul, 1292769ul, 1295044ul, 1297321ul, 1299600ul, 1301881ul, 1304164ul, 1306449ul, | |
| 1308736ul, 1311025ul, 1313316ul, 1315609ul, 1317904ul, 1320201ul, 1322500ul, 1324801ul, | |
| 1327104ul, 1329409ul, 1331716ul, 1334025ul, 1336336ul, 1338649ul, 1340964ul, 1343281ul, | |
| 1345600ul, 1347921ul, 1350244ul, 1352569ul, 1354896ul, 1357225ul, 1359556ul, 1361889ul, | |
| 1364224ul, 1366561ul, 1368900ul, 1371241ul, 1373584ul, 1375929ul, 1378276ul, 1380625ul, | |
| 1382976ul, 1385329ul, 1387684ul, 1390041ul, 1392400ul, 1394761ul, 1397124ul, 1399489ul, | |
| 1401856ul, 1404225ul, 1406596ul, 1408969ul, 1411344ul, 1413721ul, 1416100ul, 1418481ul, | |
| 1420864ul, 1423249ul, 1425636ul, 1428025ul, 1430416ul, 1432809ul, 1435204ul, 1437601ul, | |
| 1440000ul, 1442401ul, 1444804ul, 1447209ul, 1449616ul, 1452025ul, 1454436ul, 1456849ul, | |
| 1459264ul, 1461681ul, 1464100ul, 1466521ul, 1468944ul, 1471369ul, 1473796ul, 1476225ul, | |
| 1478656ul, 1481089ul, 1483524ul, 1485961ul, 1488400ul, 1490841ul, 1493284ul, 1495729ul, | |
| 1498176ul, 1500625ul, 1503076ul, 1505529ul, 1507984ul, 1510441ul, 1512900ul, 1515361ul, | |
| 1517824ul, 1520289ul, 1522756ul, 1525225ul, 1527696ul, 1530169ul, 1532644ul, 1535121ul, | |
| 1537600ul, 1540081ul, 1542564ul, 1545049ul, 1547536ul, 1550025ul, 1552516ul, 1555009ul, | |
| 1557504ul, 1560001ul, 1562500ul, 1565001ul, 1567504ul, 1570009ul, 1572516ul, 1575025ul, | |
| 1577536ul, 1580049ul, 1582564ul, 1585081ul, 1587600ul, 1590121ul, 1592644ul, 1595169ul, | |
| 1597696ul, 1600225ul, 1602756ul, 1605289ul, 1607824ul, 1610361ul, 1612900ul, 1615441ul, | |
| 1617984ul, 1620529ul, 1623076ul, 1625625ul, 1628176ul, 1630729ul, 1633284ul, 1635841ul, | |
| 1638400ul, 1640961ul, 1643524ul, 1646089ul, 1648656ul, 1651225ul, 1653796ul, 1656369ul, | |
| 1658944ul, 1661521ul, 1664100ul, 1666681ul, 1669264ul, 1671849ul, 1674436ul, 1677025ul, | |
| 1679616ul, 1682209ul, 1684804ul, 1687401ul, 1690000ul, 1692601ul, 1695204ul, 1697809ul, | |
| 1700416ul, 1703025ul, 1705636ul, 1708249ul, 1710864ul, 1713481ul, 1716100ul, 1718721ul, | |
| 1721344ul, 1723969ul, 1726596ul, 1729225ul, 1731856ul, 1734489ul, 1737124ul, 1739761ul, | |
| 1742400ul, 1745041ul, 1747684ul, 1750329ul, 1752976ul, 1755625ul, 1758276ul, 1760929ul, | |
| 1763584ul, 1766241ul, 1768900ul, 1771561ul, 1774224ul, 1776889ul, 1779556ul, 1782225ul, | |
| 1784896ul, 1787569ul, 1790244ul, 1792921ul, 1795600ul, 1798281ul, 1800964ul, 1803649ul, | |
| 1806336ul, 1809025ul, 1811716ul, 1814409ul, 1817104ul, 1819801ul, 1822500ul, 1825201ul, | |
| 1827904ul, 1830609ul, 1833316ul, 1836025ul, 1838736ul, 1841449ul, 1844164ul, 1846881ul, | |
| 1849600ul, 1852321ul, 1855044ul, 1857769ul, 1860496ul, 1863225ul, 1865956ul, 1868689ul, | |
| 1871424ul, 1874161ul, 1876900ul, 1879641ul, 1882384ul, 1885129ul, 1887876ul, 1890625ul, | |
| 1893376ul, 1896129ul, 1898884ul, 1901641ul, 1904400ul, 1907161ul, 1909924ul, 1912689ul, | |
| 1915456ul, 1918225ul, 1920996ul, 1923769ul, 1926544ul, 1929321ul, 1932100ul, 1934881ul, | |
| 1937664ul, 1940449ul, 1943236ul, 1946025ul, 1948816ul, 1951609ul, 1954404ul, 1957201ul, | |
| 1960000ul, 1962801ul, 1965604ul, 1968409ul, 1971216ul, 1974025ul, 1976836ul, 1979649ul, | |
| 1982464ul, 1985281ul, 1988100ul, 1990921ul, 1993744ul, 1996569ul, 1999396ul, 2002225ul, | |
| 2005056ul, 2007889ul, 2010724ul, 2013561ul, 2016400ul, 2019241ul, 2022084ul, 2024929ul, | |
| 2027776ul, 2030625ul, 2033476ul, 2036329ul, 2039184ul, 2042041ul, 2044900ul, 2047761ul, | |
| 2050624ul, 2053489ul, 2056356ul, 2059225ul, 2062096ul, 2064969ul, 2067844ul, 2070721ul, | |
| 2073600ul, 2076481ul, 2079364ul, 2082249ul, 2085136ul, 2088025ul, 2090916ul, 2093809ul, | |
| 2096704ul, 2099601ul, 2102500ul, 2105401ul, 2108304ul, 2111209ul, 2114116ul, 2117025ul, | |
| 2119936ul, 2122849ul, 2125764ul, 2128681ul, 2131600ul, 2134521ul, 2137444ul, 2140369ul, | |
| 2143296ul, 2146225ul, 2149156ul, 2152089ul, 2155024ul, 2157961ul, 2160900ul, 2163841ul, | |
| 2166784ul, 2169729ul, 2172676ul, 2175625ul, 2178576ul, 2181529ul, 2184484ul, 2187441ul, | |
| 2190400ul, 2193361ul, 2196324ul, 2199289ul, 2202256ul, 2205225ul, 2208196ul, 2211169ul, | |
| 2214144ul, 2217121ul, 2220100ul, 2223081ul, 2226064ul, 2229049ul, 2232036ul, 2235025ul, | |
| 2238016ul, 2241009ul, 2244004ul, 2247001ul, 2250000ul, 2253001ul, 2256004ul, 2259009ul, | |
| 2262016ul, 2265025ul, 2268036ul, 2271049ul, 2274064ul, 2277081ul, 2280100ul, 2283121ul, | |
| 2286144ul, 2289169ul, 2292196ul, 2295225ul, 2298256ul, 2301289ul, 2304324ul, 2307361ul, | |
| 2310400ul, 2313441ul, 2316484ul, 2319529ul, 2322576ul, 2325625ul, 2328676ul, 2331729ul, | |
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| 4208376384ul, 4208506129ul, 4208635876ul, 4208765625ul, 4208895376ul, 4209025129ul, 4209154884ul, 4209284641ul, | |
| 4209414400ul, 4209544161ul, 4209673924ul, 4209803689ul, 4209933456ul, 4210063225ul, 4210192996ul, 4210322769ul, | |
| 4210452544ul, 4210582321ul, 4210712100ul, 4210841881ul, 4210971664ul, 4211101449ul, 4211231236ul, 4211361025ul, | |
| 4211490816ul, 4211620609ul, 4211750404ul, 4211880201ul, 4212010000ul, 4212139801ul, 4212269604ul, 4212399409ul, | |
| 4212529216ul, 4212659025ul, 4212788836ul, 4212918649ul, 4213048464ul, 4213178281ul, 4213308100ul, 4213437921ul, | |
| 4213567744ul, 4213697569ul, 4213827396ul, 4213957225ul, 4214087056ul, 4214216889ul, 4214346724ul, 4214476561ul, | |
| 4214606400ul, 4214736241ul, 4214866084ul, 4214995929ul, 4215125776ul, 4215255625ul, 4215385476ul, 4215515329ul, | |
| 4215645184ul, 4215775041ul, 4215904900ul, 4216034761ul, 4216164624ul, 4216294489ul, 4216424356ul, 4216554225ul, | |
| 4216684096ul, 4216813969ul, 4216943844ul, 4217073721ul, 4217203600ul, 4217333481ul, 4217463364ul, 4217593249ul, | |
| 4217723136ul, 4217853025ul, 4217982916ul, 4218112809ul, 4218242704ul, 4218372601ul, 4218502500ul, 4218632401ul, | |
| 4218762304ul, 4218892209ul, 4219022116ul, 4219152025ul, 4219281936ul, 4219411849ul, 4219541764ul, 4219671681ul, | |
| 4219801600ul, 4219931521ul, 4220061444ul, 4220191369ul, 4220321296ul, 4220451225ul, 4220581156ul, 4220711089ul, | |
| 4220841024ul, 4220970961ul, 4221100900ul, 4221230841ul, 4221360784ul, 4221490729ul, 4221620676ul, 4221750625ul, | |
| 4221880576ul, 4222010529ul, 4222140484ul, 4222270441ul, 4222400400ul, 4222530361ul, 4222660324ul, 4222790289ul, | |
| 4222920256ul, 4223050225ul, 4223180196ul, 4223310169ul, 4223440144ul, 4223570121ul, 4223700100ul, 4223830081ul, | |
| 4223960064ul, 4224090049ul, 4224220036ul, 4224350025ul, 4224480016ul, 4224610009ul, 4224740004ul, 4224870001ul, | |
| 4225000000ul, 4225130001ul, 4225260004ul, 4225390009ul, 4225520016ul, 4225650025ul, 4225780036ul, 4225910049ul, | |
| 4226040064ul, 4226170081ul, 4226300100ul, 4226430121ul, 4226560144ul, 4226690169ul, 4226820196ul, 4226950225ul, | |
| 4227080256ul, 4227210289ul, 4227340324ul, 4227470361ul, 4227600400ul, 4227730441ul, 4227860484ul, 4227990529ul, | |
| 4228120576ul, 4228250625ul, 4228380676ul, 4228510729ul, 4228640784ul, 4228770841ul, 4228900900ul, 4229030961ul, | |
| 4229161024ul, 4229291089ul, 4229421156ul, 4229551225ul, 4229681296ul, 4229811369ul, 4229941444ul, 4230071521ul, | |
| 4230201600ul, 4230331681ul, 4230461764ul, 4230591849ul, 4230721936ul, 4230852025ul, 4230982116ul, 4231112209ul, | |
| 4231242304ul, 4231372401ul, 4231502500ul, 4231632601ul, 4231762704ul, 4231892809ul, 4232022916ul, 4232153025ul, | |
| 4232283136ul, 4232413249ul, 4232543364ul, 4232673481ul, 4232803600ul, 4232933721ul, 4233063844ul, 4233193969ul, | |
| 4233324096ul, 4233454225ul, 4233584356ul, 4233714489ul, 4233844624ul, 4233974761ul, 4234104900ul, 4234235041ul, | |
| 4234365184ul, 4234495329ul, 4234625476ul, 4234755625ul, 4234885776ul, 4235015929ul, 4235146084ul, 4235276241ul, | |
| 4235406400ul, 4235536561ul, 4235666724ul, 4235796889ul, 4235927056ul, 4236057225ul, 4236187396ul, 4236317569ul, | |
| 4236447744ul, 4236577921ul, 4236708100ul, 4236838281ul, 4236968464ul, 4237098649ul, 4237228836ul, 4237359025ul, | |
| 4237489216ul, 4237619409ul, 4237749604ul, 4237879801ul, 4238010000ul, 4238140201ul, 4238270404ul, 4238400609ul, | |
| 4238530816ul, 4238661025ul, 4238791236ul, 4238921449ul, 4239051664ul, 4239181881ul, 4239312100ul, 4239442321ul, | |
| 4239572544ul, 4239702769ul, 4239832996ul, 4239963225ul, 4240093456ul, 4240223689ul, 4240353924ul, 4240484161ul, | |
| 4240614400ul, 4240744641ul, 4240874884ul, 4241005129ul, 4241135376ul, 4241265625ul, 4241395876ul, 4241526129ul, | |
| 4241656384ul, 4241786641ul, 4241916900ul, 4242047161ul, 4242177424ul, 4242307689ul, 4242437956ul, 4242568225ul, | |
| 4242698496ul, 4242828769ul, 4242959044ul, 4243089321ul, 4243219600ul, 4243349881ul, 4243480164ul, 4243610449ul, | |
| 4243740736ul, 4243871025ul, 4244001316ul, 4244131609ul, 4244261904ul, 4244392201ul, 4244522500ul, 4244652801ul, | |
| 4244783104ul, 4244913409ul, 4245043716ul, 4245174025ul, 4245304336ul, 4245434649ul, 4245564964ul, 4245695281ul, | |
| 4245825600ul, 4245955921ul, 4246086244ul, 4246216569ul, 4246346896ul, 4246477225ul, 4246607556ul, 4246737889ul, | |
| 4246868224ul, 4246998561ul, 4247128900ul, 4247259241ul, 4247389584ul, 4247519929ul, 4247650276ul, 4247780625ul, | |
| 4247910976ul, 4248041329ul, 4248171684ul, 4248302041ul, 4248432400ul, 4248562761ul, 4248693124ul, 4248823489ul, | |
| 4248953856ul, 4249084225ul, 4249214596ul, 4249344969ul, 4249475344ul, 4249605721ul, 4249736100ul, 4249866481ul, | |
| 4249996864ul, 4250127249ul, 4250257636ul, 4250388025ul, 4250518416ul, 4250648809ul, 4250779204ul, 4250909601ul, | |
| 4251040000ul, 4251170401ul, 4251300804ul, 4251431209ul, 4251561616ul, 4251692025ul, 4251822436ul, 4251952849ul, | |
| 4252083264ul, 4252213681ul, 4252344100ul, 4252474521ul, 4252604944ul, 4252735369ul, 4252865796ul, 4252996225ul, | |
| 4253126656ul, 4253257089ul, 4253387524ul, 4253517961ul, 4253648400ul, 4253778841ul, 4253909284ul, 4254039729ul, | |
| 4254170176ul, 4254300625ul, 4254431076ul, 4254561529ul, 4254691984ul, 4254822441ul, 4254952900ul, 4255083361ul, | |
| 4255213824ul, 4255344289ul, 4255474756ul, 4255605225ul, 4255735696ul, 4255866169ul, 4255996644ul, 4256127121ul, | |
| 4256257600ul, 4256388081ul, 4256518564ul, 4256649049ul, 4256779536ul, 4256910025ul, 4257040516ul, 4257171009ul, | |
| 4257301504ul, 4257432001ul, 4257562500ul, 4257693001ul, 4257823504ul, 4257954009ul, 4258084516ul, 4258215025ul, | |
| 4258345536ul, 4258476049ul, 4258606564ul, 4258737081ul, 4258867600ul, 4258998121ul, 4259128644ul, 4259259169ul, | |
| 4259389696ul, 4259520225ul, 4259650756ul, 4259781289ul, 4259911824ul, 4260042361ul, 4260172900ul, 4260303441ul, | |
| 4260433984ul, 4260564529ul, 4260695076ul, 4260825625ul, 4260956176ul, 4261086729ul, 4261217284ul, 4261347841ul, | |
| 4261478400ul, 4261608961ul, 4261739524ul, 4261870089ul, 4262000656ul, 4262131225ul, 4262261796ul, 4262392369ul, | |
| 4262522944ul, 4262653521ul, 4262784100ul, 4262914681ul, 4263045264ul, 4263175849ul, 4263306436ul, 4263437025ul, | |
| 4263567616ul, 4263698209ul, 4263828804ul, 4263959401ul, 4264090000ul, 4264220601ul, 4264351204ul, 4264481809ul, | |
| 4264612416ul, 4264743025ul, 4264873636ul, 4265004249ul, 4265134864ul, 4265265481ul, 4265396100ul, 4265526721ul, | |
| 4265657344ul, 4265787969ul, 4265918596ul, 4266049225ul, 4266179856ul, 4266310489ul, 4266441124ul, 4266571761ul, | |
| 4266702400ul, 4266833041ul, 4266963684ul, 4267094329ul, 4267224976ul, 4267355625ul, 4267486276ul, 4267616929ul, | |
| 4267747584ul, 4267878241ul, 4268008900ul, 4268139561ul, 4268270224ul, 4268400889ul, 4268531556ul, 4268662225ul, | |
| 4268792896ul, 4268923569ul, 4269054244ul, 4269184921ul, 4269315600ul, 4269446281ul, 4269576964ul, 4269707649ul, | |
| 4269838336ul, 4269969025ul, 4270099716ul, 4270230409ul, 4270361104ul, 4270491801ul, 4270622500ul, 4270753201ul, | |
| 4270883904ul, 4271014609ul, 4271145316ul, 4271276025ul, 4271406736ul, 4271537449ul, 4271668164ul, 4271798881ul, | |
| 4271929600ul, 4272060321ul, 4272191044ul, 4272321769ul, 4272452496ul, 4272583225ul, 4272713956ul, 4272844689ul, | |
| 4272975424ul, 4273106161ul, 4273236900ul, 4273367641ul, 4273498384ul, 4273629129ul, 4273759876ul, 4273890625ul, | |
| 4274021376ul, 4274152129ul, 4274282884ul, 4274413641ul, 4274544400ul, 4274675161ul, 4274805924ul, 4274936689ul, | |
| 4275067456ul, 4275198225ul, 4275328996ul, 4275459769ul, 4275590544ul, 4275721321ul, 4275852100ul, 4275982881ul, | |
| 4276113664ul, 4276244449ul, 4276375236ul, 4276506025ul, 4276636816ul, 4276767609ul, 4276898404ul, 4277029201ul, | |
| 4277160000ul, 4277290801ul, 4277421604ul, 4277552409ul, 4277683216ul, 4277814025ul, 4277944836ul, 4278075649ul, | |
| 4278206464ul, 4278337281ul, 4278468100ul, 4278598921ul, 4278729744ul, 4278860569ul, 4278991396ul, 4279122225ul, | |
| 4279253056ul, 4279383889ul, 4279514724ul, 4279645561ul, 4279776400ul, 4279907241ul, 4280038084ul, 4280168929ul, | |
| 4280299776ul, 4280430625ul, 4280561476ul, 4280692329ul, 4280823184ul, 4280954041ul, 4281084900ul, 4281215761ul, | |
| 4281346624ul, 4281477489ul, 4281608356ul, 4281739225ul, 4281870096ul, 4282000969ul, 4282131844ul, 4282262721ul, | |
| 4282393600ul, 4282524481ul, 4282655364ul, 4282786249ul, 4282917136ul, 4283048025ul, 4283178916ul, 4283309809ul, | |
| 4283440704ul, 4283571601ul, 4283702500ul, 4283833401ul, 4283964304ul, 4284095209ul, 4284226116ul, 4284357025ul, | |
| 4284487936ul, 4284618849ul, 4284749764ul, 4284880681ul, 4285011600ul, 4285142521ul, 4285273444ul, 4285404369ul, | |
| 4285535296ul, 4285666225ul, 4285797156ul, 4285928089ul, 4286059024ul, 4286189961ul, 4286320900ul, 4286451841ul, | |
| 4286582784ul, 4286713729ul, 4286844676ul, 4286975625ul, 4287106576ul, 4287237529ul, 4287368484ul, 4287499441ul, | |
| 4287630400ul, 4287761361ul, 4287892324ul, 4288023289ul, 4288154256ul, 4288285225ul, 4288416196ul, 4288547169ul, | |
| 4288678144ul, 4288809121ul, 4288940100ul, 4289071081ul, 4289202064ul, 4289333049ul, 4289464036ul, 4289595025ul, | |
| 4289726016ul, 4289857009ul, 4289988004ul, 4290119001ul, 4290250000ul, 4290381001ul, 4290512004ul, 4290643009ul, | |
| 4290774016ul, 4290905025ul, 4291036036ul, 4291167049ul, 4291298064ul, 4291429081ul, 4291560100ul, 4291691121ul, | |
| 4291822144ul, 4291953169ul, 4292084196ul, 4292215225ul, 4292346256ul, 4292477289ul, 4292608324ul, 4292739361ul, | |
| 4292870400ul, 4293001441ul, 4293132484ul, 4293263529ul, 4293394576ul, 4293525625ul, 4293656676ul, 4293787729ul, | |
| 4293918784ul, 4294049841ul, 4294180900ul, 4294311961ul, 4294443024ul, 4294574089ul, 4294705156ul | |
| }; | |
| inline int isqrt(uint32_t x) { | |
| const uint32_t *p = squares; | |
| if (p[32768] <= x) p += 32768; | |
| if (p[16384] <= x) p += 16384; | |
| if (p[8192] <= x) p += 8192; | |
| if (p[4096] <= x) p += 4096; | |
| if (p[2048] <= x) p += 2048; | |
| if (p[1024] <= x) p += 1024; | |
| if (p[512] <= x) p += 512; | |
| if (p[256] <= x) p += 256; | |
| if (p[128] <= x) p += 128; | |
| if (p[ 64] <= x) p += 64; | |
| if (p[ 32] <= x) p += 32; | |
| if (p[ 16] <= x) p += 16; | |
| if (p[ 8] <= x) p += 8; | |
| if (p[ 4] <= x) p += 4; | |
| if (p[ 2] <= x) p += 2; | |
| if (p[ 1] <= x) p += 1; | |
| return p - squares; | |
| } |
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