diff --git a/src/core/group/internal/constant/group.inc b/src/core/group/internal/constant/group.inc
new file mode 100644
index 0000000..c97b626
--- /dev/null
+++ b/src/core/group/internal/constant/group.inc
@@ -0,0 +1,3178 @@
+0x00000000000000, 0x00000000301000, 0x00000000F02000, 0x00000003F03000, 0x0000000FF04000, 0x0000003FF05000, 0x000000FFF06000, 0x000003FFF07000,
+0x00000FFFF08000, 0x00003FFFF09000, 0x0000FFFFF0A000, 0x0003FFFFF0B000, 0x000FFFFFF0C000, 0x003FFFFFF0D000, 0x00FFFFFFF0E000, 0x0000000040F000,
+0x00000001C10000, 0x00000007C11000, 0x00000037C12000, 0x0000007FC13000, 0x000001FFC14000, 0x000007FFC15000, 0x000037FFC16000, 0x00007FFFC17000,
+0x0001FFFFC18000, 0x0007FFFFC19000, 0x0037FFFFC1A000, 0x007FFFFFC1B000, 0x43FF4FFFC1B004, 0x63FF4FFFC1B005, 0x83FFF4FFC1B006, 0xA3FFF4FFC1B007,
+0x43F4FFFFC1B008, 0x63F4FFFFC1B009, 0x83FFFF4FC1B00A, 0xA3FFFF4FC1B00B, 0x034FFFFFC1B00C, 0x234FFFFFC1B00D, 0xC3FFFFF4C1B00E, 0xE3FFFFF4C1B00F,
+0x0000002001C000, 0x00000020C1D000, 0x00000023C1E000, 0x0000002FC1F000, 0x000000BFC20000, 0x000002FFC21000, 0x00000BFFC22000, 0x00002FFFC23000,
+0x0000BFFFC24000, 0x0002FFFFC25000, 0x000BFFFFC26000, 0x002FFFFFC27000, 0x00BFFFFFC28000, 0x43FFF2FFC28004, 0x63FFFF8FC28005, 0x823FFFFFC28006,
+0xA38FFFFFC28007, 0x00000005029000, 0x0000003502A000, 0x0000005F02B000, 0x000001DF02C000, 0x000005FF02D000, 0x000035FF02E000, 0x00005FFF02F000,
+0x0001DFFF030000, 0x0005FFFF031000, 0x0035FFFF032000, 0x10F53FFF032004, 0xD3FFF50F032006, 0x005FFFFF033000, 0x43FF47FF033004, 0x63FF47FF033005,
+0x83F7D3FF033006, 0xA3F7D3FF033007, 0x43FF4FDF033008, 0x63FF4FDF033009, 0x81FFD3FF03300A, 0xA1FFD3FF03300B, 0x43F4FFDF03300C, 0x63F4FFDF03300D,
+0x81FFFD3F03300E, 0xA1FFFD3F03300F, 0x43F4DFFF033010, 0x63F4F7FF033011, 0x83F7FD3F033012, 0xA3F7FD3F033013, 0x0347FFFF033014, 0x2347FFFF033015,
+0xC3FFF7D3033016, 0xE3FFF7D3033017, 0x034FDFFF033018, 0x234FDFFF033019, 0xC3F7FFD303301A, 0xE3F7FFD303301B, 0x034FFFDF03301C, 0x234FFFDF03301D,
+0xC1FFFFD303301E, 0xE1FFFFD303301F, 0x41FD3FFF033020, 0x637D3FFF033021, 0x83FFF4DF033022, 0xA3FFF4FD033023, 0x437D3FFF033024, 0x61FD3FFF033025,
+0x83FFF4F7033026, 0xA3FFF4F7033027, 0x03F53FFF033028, 0x23F53FFF033029, 0xC3FFF53F03302A, 0xE3FFF53F03302B, 0x03FFF53F03302C, 0x23FFF53F03302D,
+0xC3F53FFF03302E, 0xE3F53FFF03302F, 0x43F53FFF033030, 0x63F53FFF033031, 0x83FFF53F033032, 0xA3FFF53F033033, 0x43FFF53F033034, 0x63FFF53F033035,
+0x83F53FFF033036, 0xA3F53FFF033037, 0x41D3FFFF033038, 0x6353FFFF033039, 0x83FFFF4703303A, 0xA3FFFF4D03303B, 0x4353FFFF03303C, 0x61D3FFFF03303D,
+0x83FFFF4D03303E, 0xA3FFFF4703303F, 0x13FFF53F033040, 0xD3F53FFF033042, 0x53FFF53F033044, 0x93F53FFF033046, 0x13F53FFF033048, 0x1CF53FFF033049,
+0xD3FFF53F03304A, 0xD3FFF5CF03304B, 0x4F4D3FFF03304C, 0x67CD3FFF03304D, 0x83FFF4FD03304E, 0xA3FFF4DF03304F, 0x43F4FDFF033050, 0x63F4DFFF033051,
+0x8FFF4D3F033052, 0xAFF7CD3F033053, 0x10F5FFFF033054, 0xDFFFF50F033056, 0x00000021034000, 0x00000027035000, 0x000000B7036000, 0x000001BF037000,
+0x000006FF038000, 0x000027FF039000, 0x00006FFF03A000, 0x0001BFFF03B000, 0x0006FFFF03C000, 0x0027FFFF03D000, 0x43F4CBFF03D004, 0x63F4FE3F03D005,
+0x823FFD3F03D006, 0xA38FFD3F03D007, 0x43FF48FF03D008, 0x63FF4E3F03D009, 0x823FD3FF03D00A, 0xA38FD3FF03D00B, 0x43FF4E3F03D00C, 0x63FF48FF03D00D,
+0x838FD3FF03D00E, 0xA23FD3FF03D00F, 0x438D3FFF03D010, 0x623D3FFF03D011, 0x83FFF60F03D012, 0xA3FFF4B303D013, 0x43FFF27303D014, 0x63FFF60F03D015,
+0x823D3FFF03D016, 0xA3873FFF03D017, 0x006FFFFF03E000, 0x43F4BFFF03E004, 0x63F4EFFF03E005, 0x83EFFD3F03E006, 0xA3FBFD3F03E007, 0x43F4FEFF03E008,
+0x63F4BFFF03E009, 0x83FFBD3F03E00A, 0xA2FFFD3F03E00B, 0x034BFFFF03E00C, 0x234EFFFF03E00D, 0xC2FFFFD303E00E, 0xE3BFFFD303E00F, 0x034EFFFF03E010,
+0x234BFFFF03E011, 0xC3BFFFD303E012, 0xE2FFFFD303E013, 0x034FBFFF03E014, 0x234FEFFF03E015, 0xC3EFFFD303E016, 0xE3FBFFD303E017, 0x034FEFFF03E018,
+0x234FBFFF03E019, 0xC3FBFFD303E01A, 0xE3EFFFD303E01B, 0x43FF4FBF03E01C, 0x63FF63FF03E01D, 0x83EFD3FF03E01E, 0xA8FFD3FF03E01F, 0x43FF63FF03E020,
+0x63FF4FBF03E021, 0x88FFD3FF03E022, 0xA3EFD3FF03E023, 0x43ED3FFF03E024, 0x68FD3FFF03E025, 0x83FFF4BF03E026, 0xA3FFF63F03E027, 0x43F4EFFF03E028,
+0x63F4FFBF03E029, 0x88FFFD3F03E02A, 0xA3EFFD3F03E02B, 0x43F4FBFF03E02C, 0x63F4FEFF03E02D, 0x8E3FFD3F03E02E, 0xA3BFFD3F03E02F, 0x43FF4EFF03E030,
+0x63FF78FF03E031, 0x83BFD3FF03E032, 0xAE3FD3FF03E033, 0x43FF78FF03E034, 0x63FF4EFF03E035, 0x8E3FD3FF03E036, 0xA3BFD3FF03E037, 0x41FFCBFF03E038,
+0x637FFE3F03E039, 0x823FFFDF03E03A, 0xA38FFFFD03E03B, 0x437FCBFF03E03C, 0x61FFFE3F03E03D, 0x823FFFF703E03E, 0xA38FFFF703E03F, 0x43FFF2FD03E040,
+0x63FFFF8703E041, 0x8273FFFF03E042, 0xA60FFFFF03E043, 0x53FFF6CF03E044, 0x53FFFE7303E045, 0x9387FFFF03E046, 0x923DFFFF03E047, 0x03FF78FF03E048,
+0x23F7CEFF03E049, 0xCE3FFD3F03E04A, 0xE3BFDF3F03E04B, 0x43BD3FFF03E04C, 0x6E3D3FFF03E04D, 0x83FFF6CF03E04E, 0xA3FFF7B303E04F, 0x43F7CEFF03E050,
+0x63F7F8FF03E051, 0x83BFFD3F03E052, 0xAE3FFD3F03E053, 0x43FFF27F03E054, 0x63FFF63F03E055, 0x82FD3FFF03E056, 0xAF873FFF03E057, 0x43FFFE7303E058,
+0x63FFF6CF03E059, 0x8E3D3FFF03E05A, 0xA3B73FFF03E05B, 0x4F4FCBFF03E05C, 0x67CFFE3F03E05D, 0x823FFFFD03E05E, 0xA38FFFDF03E05F, 0x4F8D3FFF03E060,
+0x62FD3FFF03E061, 0x83FFF63F03E062, 0xA3FFF4BF03E063, 0x43FF4BFF03E064, 0x63FF7E3F03E065, 0x82FFD3FF03E066, 0xAF8FD3FF03E067, 0x43FF7E3F03E068,
+0x63FF4BFF03E069, 0x8F8FD3FF03E06A, 0xA2FFD3FF03E06B, 0x4FF4CBFF03E06C, 0x6FF4FE3F03E06D, 0x823FFDFF03E06E, 0xA38FFDFF03E06F, 0x03FF7E3F03E070,
+0x23F7CBFF03E071, 0xCF8FFD3F03E072, 0xE2FFDF3F03E073, 0x13F7CEFF03E074, 0x1CFF78FF03E075, 0xD3BFDF3F03E076, 0xDE3FFDCF03E077, 0x43F7CBFF03E078,
+0x63F7FE3F03E079, 0x82FFFD3F03E07A, 0xAF8FFD3F03E07B, 0x4FFF48FF03E07C, 0x6FFF4E3F03E07D, 0x823FDFFF03E07E, 0xA38FDFFF03E07F, 0x4FFF4E3F03E080,
+0x6FFF48FF03E081, 0x838FDFFF03E082, 0xA23FDFFF03E083, 0x13F7CBFF03E084, 0x1CFF7E3F03E085, 0xD2FFDF3F03E086, 0xDF8FFDCF03E087, 0x438DFFFF03E088,
+0x623DFFFF03E089, 0x8FFFF60F03E08A, 0xAFFFF4B303E08B, 0x4FFFF27303E08C, 0x6FFFF60F03E08D, 0x823DFFFF03E08E, 0xA387FFFF03E08F, 0x000000A003F000,
+0x000000A3040000, 0x000000AF041000, 0x000002BF042000, 0x00000AFF043000, 0x00002BFF044000, 0x0000AFFF045000, 0x0002BFFF046000, 0x000AFFFF047000,
+0x002BFFFF048000, 0x00AFFFFF049000, 0x43EFCBFF049004, 0x63FBFE3F049005, 0x822FFFFF049006, 0xA38BFFFF049007, 0x43FBCBFF049008, 0x62FFFE3F049009,
+0x823EFFFF04900A, 0xA28FFFFF04900B, 0x43BFCEFF04900C, 0x6E3FF8FF04900D, 0x83BFFECF04900E, 0xAE3FFFB304900F, 0x43BFCBFF049010, 0x6E3FFE3F049011,
+0x82FFFECF049012, 0xAF8FFFB3049013, 0x0000005404A000, 0x000001D404B000, 0x0000057C04C000, 0x0000357C04D000, 0x000057FC04E000, 0x0001D7FC04F000,
+0x00057FFC050000, 0x00357FFC051000, 0x00FDD4FC051004, 0x10FF54FC051005, 0xC3F534FC051006, 0xD3F5373C051007, 0x10F51FFC051008, 0xD3F7D43C05100A,
+0x10F53F7C05100C, 0xD1FFD43C05100E, 0x034FD4FC051010, 0x234FD4FC051011, 0xC3F53F4C051012, 0xE3F53F4C051013, 0x43F4D4FC051014, 0x63F4D4FC051015,
+0x83F534FC051016, 0xA3F534FC051017, 0x0057FFFC052000, 0x03477FFC052004, 0x23477FFC052005, 0xC3F7DF4C052006, 0xE3F7DF4C052007, 0x0347FF7C052008,
+0x2347FF7C052009, 0xC1FFDF4C05200A, 0xE1FFDF4C05200B, 0x034FDF7C05200C, 0x234FDF7C05200D, 0xC1DFFF4C05200E, 0xE1DFFF4C05200F, 0x41FD1FFC052010,
+0x637D1FFC052011, 0x83F7D37C052012, 0xA3F7D3F4052013, 0x41FD3F7C052014, 0x637D3F7C052015, 0x81FFD37C052016, 0xA1FFD3F4052017, 0x437D1FFC052018,
+0x61FD1FFC052019, 0x83F7D3DC05201A, 0xA3F7D3DC05201B, 0x437D3F7C05201C, 0x61FD3F7C05201D, 0x81FFD3DC05201E, 0xA1FFD3DC05201F, 0x03F51FFC052020,
+0x23F51FFC052021, 0xC3F7D4FC052022, 0xE3F7D4FC052023, 0x03F53F7C052024, 0x23F53F7C052025, 0xC1FFD4FC052026, 0xE1FFD4FC052027, 0x41D3FF7C052028,
+0x6353FF7C052029, 0x81FFFD1C05202A, 0xA1FFFD3405202B, 0x4353FF7C05202C, 0x61D3FF7C05202D, 0x81FFFD3405202E, 0xA1FFFD1C05202F, 0x43F51FFC052030,
+0x63F51FFC052031, 0x83F7D4FC052032, 0xA3F7D4FC052033, 0x43F53F7C052034, 0x63F53F7C052035, 0x81FFD4FC052036, 0xA1FFD4FC052037, 0x43FF47DC052038,
+0x63FF47F4052039, 0x81F74FFC05203A, 0xA1FD4FFC05203B, 0x43FF47F405203C, 0x63FF47DC05203D, 0x81FD4FFC05203E, 0xA1F74FFC05203F, 0x41D37FFC052040,
+0x6353DFFC052041, 0x83F7FD1C052042, 0xA3F7FD34052043, 0x43537FFC052044, 0x61D3DFFC052045, 0x83F7FD34052046, 0xA3F7FD1C052047, 0x43F4DFDC052048,
+0x63F4F7F4052049, 0x81F7F4FC05204A, 0xA1FDF4FC05204B, 0x43F4DFF405204C, 0x63F4F7DC05204D, 0x81FDF4FC05204E, 0xA1F7F4FC05204F, 0x13F51FFC052050,
+0x1CF51FFC052051, 0xD3F7D4FC052052, 0xD3F7D73C052053, 0x13F53F7C052054, 0x1CF53F7C052055, 0xD1FFD4FC052056, 0xD1FFD73C052057, 0x43FF477C052058,
+0x63FF4DF4052059, 0x81DF4FFC05205A, 0xA37D4FFC05205B, 0x43FF4DF405205C, 0x63FF477C05205D, 0x837D4FFC05205E, 0xA1DF4FFC05205F, 0x4F4D1FFC052060,
+0x67CD1FFC052061, 0x83F7D3F4052062, 0xA3F7D37C052063, 0x4F4D3F7C052064, 0x67CD3F7C052065, 0x81FFD3F4052066, 0xA1FFD37C052067, 0x43F4DF7C052068,
+0x63F4FDF4052069, 0x81DFF4FC05206A, 0xA37DF4FC05206B, 0x43F4F7F405206C, 0x63F4F77C05206D, 0x837DF4FC05206E, 0xA1DFF4FC05206F, 0x00FDD7FC052070,
+0x10FF57FC052071, 0xCFF534FC052072, 0xDFF5373C052073, 0x03F7D4FC052074, 0x23FF54FC052075, 0xC3F51FFC052076, 0xE3F537FC052077, 0x03FDD4FC052078,
+0x23FDD4FC052079, 0xC3F537FC05207A, 0xE3F51FFC05207B, 0x13FDD4FC05207C, 0x13FF54FC05207D, 0xD3F51FFC05207E, 0xD3F537FC05207F, 0x41FFD4FC052080,
+0x637FD4FC052081, 0x83F53F7C052082, 0xA3F53FF4052083, 0x437FD4FC052084, 0x61FFD4FC052085, 0x83F53FDC052086, 0xA3F53FDC052087, 0x51FFD4FC052088,
+0x537FD4FC052089, 0x93F53FDC05208A, 0x93F53FF405208B, 0x03FFF51C05208C, 0x23FFF53405208D, 0xC1D4FFFC05208E, 0xE354FFFC05208F, 0x03FFF534052090,
+0x23FFF51C052091, 0xC354FFFC052092, 0xE1D4FFFC052093, 0x04FFD4FC052094, 0x24FFD4FC052095, 0xC3F53FF4052096, 0xE3F53FF4052097, 0x13FFF51C052098,
+0x13FFF534052099, 0xD1D4FFFC05209A, 0xD354FFFC05209B, 0x41D4FFFC05209C, 0x6354FFFC05209D, 0x83FFF51C05209E, 0xA3FFF53405209F, 0x4354FFFC0520A0,
+0x61D4FFFC0520A1, 0x83FFF5340520A2, 0xA3FFF51C0520A3, 0x43F4FFD40520A4, 0x63F4FFD40520A5, 0x853FF4FC0520A6, 0xA53FF4FC0520A7, 0x43FF4FD40520A8,
+0x63FF4FD40520A9, 0x853F4FFC0520AA, 0xA53F4FFC0520AB, 0x43FF54FC0520AC, 0x63FF54FC0520AD, 0x83F54FFC0520AE, 0xA3F54FFC0520AF, 0x43FFF51C0520B0,
+0x63FFF5340520B1, 0x81D4FFFC0520B2, 0xA354FFFC0520B3, 0x43FFF5340520B4, 0x63FFF51C0520B5, 0x8354FFFC0520B6, 0xA1D4FFFC0520B7, 0x53FFF51C0520B8,
+0x53FFF5340520B9, 0x91D4FFFC0520BA, 0x9354FFFC0520BB, 0x034FFFD40520BC, 0x234FFFD40520BD, 0xC53FFF4C0520BE, 0xE53FFF4C0520BF, 0x0354FFFC0520C0,
+0x2354FFFC0520C1, 0xC3FFF54C0520C2, 0xE3FFF54C0520C3, 0x03FF54FC0520C4, 0x23F7D4FC0520C5, 0xC3F5F4FC0520C6, 0xE3F57CFC0520C7, 0x04D4FFFC0520C8,
+0x24D4FFFC0520C9, 0xC3FFF5340520CA, 0xE3FFF5340520CB, 0x0F4FD4FC0520CC, 0x2F4FD4FC0520CD, 0xC3F53F7C0520CE, 0xE3F53F7C0520CF, 0x43F7D4FC0520D0,
+0x63F7D4FC0520D1, 0x83F5F4FC0520D2, 0xA3F5F4FC0520D3, 0x4534FFFC0520D4, 0x6534FFFC0520D5, 0x83FFF4D40520D6, 0xA3FFF4D40520D7, 0x4F4FD4FC0520D8,
+0x67CFD4FC0520D9, 0x83F53FF40520DA, 0xA3F53F7C0520DB, 0x034FD7FC0520DC, 0x234FD7FC0520DD, 0xCFF53F4C0520DE, 0xEFF53F4C0520DF, 0x037FD4FC0520E0,
+0x237FD4FC0520E1, 0xC3F5FF4C0520E2, 0xE3F5FF4C0520E3, 0x13F7D4FC0520E4, 0x1CFF54FC0520E5, 0xD3F57CFC0520E6, 0xD3F5F73C0520E7, 0x43F4D7FC0520E8,
+0x63F4D7FC0520E9, 0x8FF534FC0520EA, 0xAFF534FC0520EB, 0x43F4FD7C0520EC, 0x63F4DFF40520ED, 0x87FD34FC0520EE, 0xAF5F34FC0520EF, 0x43F4FDDC0520F0,
+0x63F4DFDC0520F1, 0x8DFD34FC0520F2, 0xADDF34FC0520F3, 0x43F4FDF40520F4, 0x63F4DF7C0520F5, 0x8F7D34FC0520F6, 0xA7DF34FC0520F7, 0x4FF4D4FC0520F8,
+0x6FF4D4FC0520F9, 0x83F537FC0520FA, 0xA3F537FC0520FB, 0x57CFD4FC0520FC, 0x5F73D4FC0520FD, 0x93F53F7C0520FE, 0x93F5CFF40520FF, 0x41D3F7FC052100,
+0x63537FFC052101, 0x8FFF4D1C052102, 0xAFF7CD34052103, 0x4353F7FC052104, 0x61D37FFC052105, 0x8FFF4D34052106, 0xAFF7CD1C052107, 0x10F57FFC052108,
+0x10F5F7FC052109, 0xDFF7D43C05210A, 0xDFFF543C05210B, 0x10F5FF7C05210C, 0x10F5FFF405210D, 0xD7FFD43C05210E, 0xDF7FD43C05210F, 0x10F5DFFC052110,
+0xDFFDD43C052112, 0x10F5FFDC052114, 0xDDFFD43C052116, 0x00000184053000, 0x0000019C054000, 0x000006DC055000, 0x0000277C056000, 0x00005BFC057000,
+0x00019FFC058000, 0x0005BFFC059000, 0x10F523FC059004, 0x10F538FC059005, 0xD23FD43C059006, 0xD38FD43C059007, 0x43F4C9CC059008, 0x63F4D83C059009,
+0x823D34FC05900A, 0xA38734FC05900B, 0x00277FFC05A000, 0x434D8FFC05A004, 0x61CD3EFC05A005, 0x8233FDDC05A006, 0xA02FFDDC05A007, 0x438D1FFC05A008,
+0x623D1FFC05A009, 0x83F7D83C05A00A, 0xA3F7D2CC05A00B, 0x438D3F7C05A00C, 0x623D3F7C05A00D, 0x81FFD83C05A00E, 0xA1FFD2CC05A00F, 0x41FD23FC05A010,
+0x637D38FC05A011, 0x823FD37C05A012, 0xA38FD3F405A013, 0x41FD38FC05A014, 0x637D23FC05A015, 0x838FD37C05A016, 0xA23FD3F405A017, 0x437D23FC05A018,
+0x61FD38FC05A019, 0x823FD3DC05A01A, 0xA38FD3DC05A01B, 0x437D38FC05A01C, 0x61FD23FC05A01D, 0x838FD3DC05A01E, 0xA23FD3DC05A01F, 0x41D32FFC05A020,
+0x6353F8FC05A021, 0x823FFD1C05A022, 0xA38FFD3405A023, 0x43532FFC05A024, 0x61D3F8FC05A025, 0x823FFD3405A026, 0xA38FFD1C05A027, 0x03F523FC05A028,
+0x23F538FC05A029, 0xC23FD4FC05A02A, 0xE38FD4FC05A02B, 0x03F538FC05A02C, 0x23F523FC05A02D, 0xC38FD4FC05A02E, 0xE23FD4FC05A02F, 0x43F4CBF405A030,
+0x63F4FE1C05A031, 0x8273F4FC05A032, 0xA60FF4FC05A033, 0x43F523FC05A034, 0x63F538FC05A035, 0x823FD4FC05A036, 0xA38FD4FC05A037, 0x43F538FC05A038,
+0x63F523FC05A039, 0x838FD4FC05A03A, 0xA23FD4FC05A03B, 0x41FFC9CC05A03C, 0x637FD83C05A03D, 0x823D3F7C05A03E, 0xA3873FF405A03F, 0x437FC9CC05A040,
+0x61FFD83C05A041, 0x823D3FDC05A042, 0xA3873FDC05A043, 0x0214FFFC05A044, 0x1814FFFC05A045, 0xC3FFF52005A046, 0xD3FFF58005A047, 0x10F53EFC05A048,
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+0x518BAB000C0080, 0x92A3E9000C0082, 0x4368AB000C0084, 0x61EAA3000C0085, 0x828EAD000C0086, 0xA28BA7000C0087, 0x436A2B000C0088, 0x61EA8B000C0089,
+0x888EAD000C008A, 0xA22BA7000C008B, 0x438AB9000C008C, 0x623AB9000C008D, 0x887AA3000C008E, 0xA1ABA3000C008F, 0x51AA2F000C0090, 0x90BBA9000C0092,
+0x51AE8B000C0094, 0x586E2B000C0095, 0x922BE9000C0096, 0x988EE9000C0097, 0x438AAD000C0098, 0x623AE9000C0099, 0x8A63A3000C009A, 0xA68BA3000C009B,
+0x438EA9000C009C, 0x623EA9000C009D, 0x8A628F000C009E, 0xA68AB3000C009F, 0x4F8A89000C00A0, 0x62FA89000C00A1, 0x824AAF000C00A2, 0xA1A8AF000C00A3,
+0x53EAA1000C00A4, 0x58FA29000C00A5, 0x9262AF000C00A6, 0x9622AF000C00A7, 0x438DAA000C00A8, 0x623DAA000C00A9, 0x8AA60F000C00AA, 0xAAA4B3000C00AB,
+0x43A4AB000C00AC, 0x6A36A3000C00AD, 0x82ADA3000C00AE, 0xAA8DA3000C00AF, 0x43A62B000C00B0, 0x6A368B000C00B1, 0x88ADA3000C00B2, 0xAA2DA3000C00B3,
+0x43A68B000C00B4, 0x6A362B000C00B5, 0x8A2DA3000C00B6, 0xA8ADA3000C00B7, 0x43A6A3000C00B8, 0x6A34AB000C00B9, 0x8A8DA3000C00BA, 0xA2ADA3000C00BB,
+0x43AA2D000C00BC, 0x6A3A87000C00BD, 0x827AA3000C00BE, 0xA62BA3000C00BF, 0x4FA4A8000C00C0, 0x6AF4A8000C00C1, 0x82A1AF000C00C2, 0xA2A1AF000C00C3,
+0x0E8A27000C00C4, 0x2BA28D000C00C5, 0xC6CA2B000C00C6, 0xEE628B000C00C7, 0x0E8B29000C00C8, 0x2BB2A1000C00C9, 0xC688BB000C00CA, 0xEA4B8B000C00CB,
+0x0FA229000C00CC, 0x2FA2A1000C00CD, 0xC688AF000C00CE, 0xEA4A8F000C00CF, 0x43AA87000C00D0, 0x6A3A2D000C00D1, 0x89CAA3000C00D2, 0xADA8A3000C00D3,
+0x43AB89000C00D4, 0x6A3E89000C00D5, 0x898BA3000C00D6, 0xA9A3A3000C00D7, 0x43BA89000C00D8, 0x6E3A89000C00D9, 0x898A8F000C00DA, 0xA9A2B3000C00DB,
+0x58EA27000C00DC, 0x58EA8D000C00DD, 0x96E2A3000C00DE, 0x9E62A3000C00DF, 0x58EB29000C00E0, 0x58EEA1000C00E1, 0x96A3A3000C00E2, 0x9A4BA3000C00E3,
+0x1FA289000C00E4, 0xD98A2F000C00E6, 0x00A0AA000C1000, 0x20A0AA000C1001, 0x8A0AA0000C1002, 0xA0AAA0000C1003, 0x10A0AA000C1004, 0x928AA0000C1006,
+0x00A2AB000C2000, 0x20A2AB000C2001, 0x8A3AA0000C2002, 0xA3AAA0000C2003, 0x00A3AA000C2004, 0x20A3AA000C2005, 0x8A2BA0000C2006, 0xA2ABA0000C2007,
+0x03A0AA000C2008, 0x23A0AA000C2009, 0x8A0AA3000C200A, 0xA0AAA3000C200B, 0x10A2AB000C200C, 0x92BAA0000C200E, 0x10A3AA000C2010, 0x92ABA0000C2012,
+0x13A0AA000C2014, 0x928AA3000C2016, 0x00AAAF000C3000, 0x20AAAF000C3001, 0x8AFAA0000C3002, 0xAFAAA0000C3003, 0x00ABAB000C3004, 0x20AEAB000C3005,
+0x8AEBA0000C3006, 0xABABA0000C3007, 0x00AEAB000C3008, 0x20ABAB000C3009, 0x8ABBA0000C300A, 0xAEABA0000C300B, 0x00AFAA000C300C, 0x20AFAA000C300D,
+0x8AAFA0000C300E, 0xAAAFA0000C300F, 0x10ABAB000C3010, 0x10AEAB000C3011, 0x9EABA0000C3012, 0x9ABBA0000C3013, 0x03A2AB000C3014, 0x23A2AB000C3015,
+0x8AEA83000C3016, 0xABAAB0000C3017, 0x03A3AA000C3018, 0x23A3AA000C3019, 0x8AAE83000C301A, 0xAAABB0000C301B, 0x0FA0AA000C301C, 0x2FA0AA000C301D,
+0x8A0AAF000C301E, 0xA0AAAF000C301F, 0x13A2AB000C3020, 0x1CA2AB000C3021, 0x9E8AA3000C3022, 0x92BAA3000C3023, 0x13A3AA000C3024, 0x1CA3AA000C3025,
+0x9A8BA3000C3026, 0x92ABA3000C3027, 0x10AAAF000C3028, 0x9EBAA0000C302A, 0x10AFAA000C302C, 0x9AAFA0000C302E, 0x0E82AB000C3030, 0x2BA0AB000C3031,
+0x8A3AA3000C3032, 0xA3AAA3000C3033, 0x0E83AA000C3034, 0x2BB0AA000C3035, 0x8A2BA3000C3036, 0xA2ABA3000C3037, 0x1FA0AA000C3038, 0x928AAF000C303A,
+0x005554000C4000, 0x205554000C4001, 0x051854000C5000, 0x252454000C5001, 0xC51854000C5002, 0xE52454000C5003, 0x052454000C5004, 0x251854000C5005,
+0xC52454000C5006, 0xE51854000C5007, 0x055184000C5008, 0x255244000C5009, 0xC18554000C500A, 0xE24554000C500B, 0x055244000C500C, 0x255184000C500D,
+0xC24554000C500E, 0xE18554000C500F, 0x455184000C5010, 0x655244000C5011, 0x818554000C5012, 0xA24554000C5013, 0x455244000C5014, 0x655184000C5015,
+0x824554000C5016, 0xA18554000C5017, 0x021554000C5018, 0x181554000C5019, 0xC55520000C501A, 0xD55580000C501B, 0x048554000C501C, 0x248554000C501D,
+0xC55184000C501E, 0xE55244000C501F, 0x418554000C5020, 0x624554000C5021, 0x855484000C5022, 0xA55484000C5023, 0x452154000C5024, 0x558154000C5025,
+0x855214000C5026, 0x955814000C5027, 0x454854000C5028, 0x654854000C5029, 0x851854000C502A, 0xA52454000C502B, 0x0055A4000C6000, 0x205694000C6001,
+0x005A54000C6004, 0x206954000C6005, 0x4550A4000C6006, 0x655A04000C6007, 0x005694000C6008, 0x2055A4000C6009, 0x8A0554000C600A, 0xA0A554000C600B,
+0x005664000C600C, 0x205664000C600D, 0x885854000C600E, 0xA1A454000C600F, 0x00A554000C6010, 0x20A554000C6011, 0x855680000C6012, 0xA55680000C6013,
+0x10A554000C6014, 0xD05568000C6016, 0x550A54000C6018, 0x905694000C601A, 0x506954000C601C, 0x9550A4000C601E, 0x006654000C6020, 0x206654000C6021,
+0xC58584000C6022, 0xE51A44000C6023, 0x055824000C6024, 0x255824000C6025, 0xC82554000C6026, 0xE82554000C6027, 0x058254000C6028, 0x258254000C6029,
+0xC58254000C602A, 0xE58254000C602B, 0x455824000C602C, 0x655824000C602D, 0x882554000C602E, 0xA82554000C602F, 0x022654000C7000, 0x022954000C7001,
+0xC52468000C7002, 0xC5A520000C7003, 0x452264000C7004, 0x452294000C7005, 0x824694000C7006, 0x8A5214000C7007, 0x048664000C7008, 0x248664000C7009,
+0xC1A584000C700A, 0xE18694000C700B, 0x021A54000C700C, 0x182954000C700D, 0xC51868000C700E, 0xD5A580000C700F, 0x0485A4000C7010, 0x248694000C7011,
+0xC185A4000C7012, 0xE24694000C7013, 0x418A54000C7014, 0x624A54000C7015, 0x8518A4000C7016, 0xA524A4000C7017, 0x4521A4000C7018, 0x558294000C7019,
+0x818694000C701A, 0x9A5814000C701B, 0x518A54000C701C, 0x584A54000C701D, 0x9518A4000C701E, 0x9584A4000C701F, 0x0A5184000C7020, 0x2A5244000C7021,
+0xC18568000C7022, 0xE24568000C7023, 0x0A5244000C7024, 0x2A5184000C7025, 0xC24568000C7026, 0xE18568000C7027, 0x1A5184000C7028, 0x1A5244000C7029,
+0xD18568000C702A, 0xD24568000C702B, 0x469184000C702C, 0x6A5244000C702D, 0x8185A4000C702E, 0xA245A4000C702F, 0x469244000C7030, 0x6A5184000C7031,
+0x8245A4000C7032, 0xA185A4000C7033, 0x048694000C7034, 0x2485A4000C7035, 0xC26584000C7036, 0xE61A44000C7037, 0x051A84000C7038, 0x2524A4000C7039,
+0xC26254000C703A, 0xE62254000C703B, 0x0524A4000C703C, 0x251A84000C703D, 0xC62254000C703E, 0xE26254000C703F, 0x052624000C7040, 0x256224000C7041,
+0xC1A854000C7042, 0xE24A54000C7043, 0x052A14000C7044, 0x252A14000C7045, 0xC52A14000C7046, 0xE52A14000C7047, 0x0552A0000C7048, 0x2552A0000C7049,
+0xC2A154000C704A, 0xE2A154000C704B, 0x056224000C704C, 0x252624000C704D, 0xC24A54000C704E, 0xE1A854000C704F, 0x062254000C7050, 0x24A254000C7051,
+0xC524A4000C7052, 0xE51A84000C7053, 0x4552A0000C7054, 0x6552A0000C7055, 0x82A154000C7056, 0xA2A154000C7057, 0x456224000C7058, 0x654A24000C7059,
+0x824A54000C705A, 0xA1A854000C705B, 0x0215A4000C705C, 0x181694000C705D, 0xC69520000C705E, 0xDA5580000C705F, 0x021664000C7060, 0x181664000C7061,
+0xC99520000C7062, 0xD99580000C7063, 0x021694000C7064, 0x1815A4000C7065, 0xCA5520000C7066, 0xD69580000C7067, 0x4185A4000C7068, 0x624694000C7069,
+0x869484000C706A, 0xAA5484000C706B, 0x418664000C706C, 0x624664000C706D, 0x899484000C706E, 0xA99484000C706F, 0x418694000C7070, 0x6245A4000C7071,
+0x8A5484000C7072, 0xA69484000C7073, 0x04A854000C7074, 0x248A54000C7075, 0xC5A484000C7076, 0xE56884000C7077, 0x454A84000C7078, 0x6548A4000C7079,
+0x8A4854000C707A, 0xA68854000C707B, 0x00A5A4000C8000, 0x20A694000C8001, 0x856A80000C8002, 0xA5A680000C8003, 0x00A664000C8004, 0x20A664000C8005,
+0x899680000C8006, 0xA99680000C8007, 0x00A694000C8008, 0x20A5A4000C8009, 0x8A5680000C800A, 0xA69680000C800B, 0x0681A4000C800C, 0x268294000C800D,
+0x45A0A4000C800E, 0x65AA04000C800F, 0x10A5A4000C8010, 0x10A694000C8011, 0xD05A68000C8012, 0xD06968000C8013, 0x0056A8000C8014, 0x2056A8000C8015,
+0x8A0A54000C8016, 0xA0AA54000C8017, 0x0069A4000C8018, 0x205AA4000C8019, 0x8A0694000C801A, 0xA0A694000C801B, 0x006A94000C801C, 0x206A94000C801D,
+0x8A05A4000C801E, 0xA0A5A4000C801F, 0x068264000C8020, 0x268264000C8021, 0x8858A4000C8022, 0xA1A4A4000C8023, 0x10A664000C8024, 0xD06668000C8026,
+0x506A64000C8028, 0x9066A4000C802A, 0x5069A4000C802C, 0x506A94000C802D, 0x9618A4000C802E, 0x9264A4000C802F, 0x005AA4000C8030, 0x2069A4000C8031,
+0xCA05A4000C8032, 0xE0A694000C8033, 0x02A254000C8034, 0x28A254000C8035, 0xC58268000C8036, 0xE58268000C8037, 0x049A24000C8038, 0x262624000C8039,
+0xC825A4000C803A, 0xE82694000C803B, 0x452A24000C803C, 0x658A24000C803D, 0x882694000C803E, 0xA82694000C803F, 0x5528A4000C8040, 0x558A84000C8041,
+0x90A694000C8042, 0x9A0694000C8043, 0x4690A4000C8044, 0x6A5A04000C8045, 0x0A5824000C8048, 0x2A5824000C8049, 0xC82568000C804A, 0xE82568000C804B,
+0x469824000C804C, 0x6A5824000C804D, 0x8825A4000C804E, 0xA825A4000C804F, 0x1A8254000C8050, 0x959A80000C8052, 0x55A824000C8054, 0x59A814000C8056,
+0x1A5824000C8058, 0xD82568000C805A, 0x04A4A4000C805C, 0x261A84000C805D, 0xC6A184000C805E, 0xEA4A44000C805F, 0x022A94000C9000, 0xC52A28000C9002,
+0x4522A8000C9004, 0x82A294000C9006, 0x0486A8000C9008, 0x2486A8000C9009, 0xC2A1A4000C900A, 0xE2A294000C900B, 0x048AA4000C900C, 0x248AA4000C900D,
+0xC1A8A4000C900E, 0xE24AA4000C900F, 0x021AA4000C9010, 0x1829A4000C9011, 0xC26268000C9012, 0xD6A980000C9013, 0x0229A4000C9014, 0x129A84000C9015,
+0xC6A920000C9016, 0xD26268000C9017, 0x418AA4000C9018, 0x624AA4000C9019, 0x8A48A4000C901A, 0xA688A4000C901B, 0x089A24000C901C, 0x22A624000C901D,
+0xC24A68000C901E, 0xE1A868000C901F, 0x08A4A4000C9020, 0x229A84000C9021, 0xC62268000C9022, 0xE26268000C9023, 0x12A624000C9024, 0x189A24000C9025,
+0xD1A868000C9026, 0xD24A68000C9027, 0x462A24000C9028, 0x626A24000C9029, 0x824AA4000C902A, 0xA1A8A4000C902B, 0x0A2624000C902C, 0x2A6224000C902D,
+0xC1A868000C902E, 0xE24A68000C902F, 0x0A52A0000C9030, 0x2A52A0000C9031, 0xC2A168000C9032, 0xE2A168000C9033, 0x4692A0000C9034, 0x6A52A0000C9035,
+0x82A1A4000C9036, 0xA2A1A4000C9037, 0x51AA84000C9038, 0x5868A4000C9039, 0x9262A4000C903A, 0x9622A4000C903B, 0x0216A8000C903C, 0x1816A8000C903D,
+0xCAA520000C903E, 0xDAA580000C903F, 0x4186A8000C9040, 0x6246A8000C9041, 0x8AA484000C9042, 0xAAA484000C9043, 0x1A52A0000C9044, 0xD2A168000C9046,
+0x0688A4000C9048, 0x268A84000C9049, 0xC688A4000C904A, 0xEA4A84000C904B, 0x00A6A8000CA000, 0x20A6A8000CA001, 0x8AA680000CA002, 0xAAA680000CA003,
+0x00AAA4000CA004, 0x20AAA4000CA005, 0x8A6A80000CA006, 0xA6AA80000CA007, 0x0682A8000CA008, 0x2682A8000CA009, 0x8A0AA4000CA00A, 0xA0AAA4000CA00B,
+0x10A6A8000CA00C, 0xD0AA68000CA00E, 0x10AAA4000CA010, 0xD06AA8000CA012, 0x506AA8000CA014, 0x928AA4000CA016,
diff --git a/src/core/group/internal/constant/group_pro.h b/src/core/group/internal/constant/group_pro.h
index 28fe94a..db2fe43 100644
--- a/src/core/group/internal/constant/group_pro.h
+++ b/src/core/group/internal/constant/group_pro.h
@@ -4,3197 +4,20 @@
 
 namespace klotski::cases {
 
-constexpr auto GROUP_PRO_SIZE = std::to_array<uint32_t>({
-    12, 192, 1440, 6720, 21840, 52416, 96096, 137280, 154440, 137280, 96096, 52416, 21840, 6720, 1440, 124, 1736, 11284, 45136, 124124, 248248, 372372, 425568, 372372, 248248, 124124, 45136, 10836, 48, 40, 24, 132, 1848, 12012, 48048, 132132, 264264, 396396, 453024, 396396, 264264, 132132, 48048, 11916, 24, 512, 6144, 33792, 112640, 253440, 405504, 473088, 405504, 253440, 112576, 32, 30104, 108, 108, 96, 88, 60, 60, 60, 40, 40, 32, 32, 32, 32, 30, 30, 32, 32, 16, 16, 8, 4, 1044, 12528, 68904, 229680, 516780, 826848, 964656, 826848, 516780, 228848, 48, 48, 48, 32, 32, 65848, 64, 48, 40, 40, 40, 40, 36, 36, 32, 32, 24, 24, 24, 22, 22, 20, 20, 16, 16, 16, 16, 16, 16, 16, 12, 12, 12, 8, 8, 8, 8, 8, 4, 4, 4, 582, 6984, 38412, 128040, 288090, 460944, 537768, 460944, 288090, 128040, 37740, 80, 76, 8, 4, 1092, 10920, 49140, 131040, 229320, 275184, 229320, 130032, 116, 72, 72, 32, 32, 38672, 144, 144, 144, 90, 90, 90, 90, 72, 72, 72, 72, 72, 72, 72, 72, 66, 66, 64, 64, 36, 36, 36, 36, 36, 36, 32, 32, 29, 28, 28, 28, 28, 28, 28, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 16, 16, 16, 16, 16, 16, 16, 16, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 4, 4, 4, 4, 3180, 31800, 143100, 381600, 667800, 801360, 667544, 32, 32, 377408, 104, 72, 72, 40, 40, 40, 40, 36, 36, 32, 32, 32, 32, 32, 28, 28, 24, 24, 24, 24, 24, 24, 24, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 8, 8, 8, 127676, 120, 92, 80, 80, 80, 80, 72, 72, 64, 64, 48, 48, 48, 48, 48, 48, 48, 48, 48, 44, 40, 40, 40, 40, 36, 36, 36, 36, 36, 36, 36, 34, 34, 34, 34, 30, 30, 30, 30, 30, 28, 28, 28, 28, 28, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 20, 20, 20, 20, 20, 20, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 14, 14, 14, 14, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 10, 10, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3382, 33820, 152190, 405840, 710220, 852264, 709388, 192, 48, 32, 32, 403056, 88, 64, 64, 48, 48, 40, 32, 32, 32, 24, 24, 24, 24, 24, 16, 16, 16, 16, 16, 16, 8, 8, 8, 8, 143462, 72, 70, 64, 64, 64, 54, 48, 48, 48, 90, 44, 40, 36, 36, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 28, 24, 24, 24, 24, 24, 24, 24, 24, 24, 20, 20, 20, 18, 18, 18, 18, 18, 32, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 14, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 10, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1320, 13200, 59400, 158400, 277200, 332640, 277200, 158272, 32, 57524, 120, 48, 40, 40, 40, 22, 42, 20, 20, 16, 14, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 1320, 10560, 36960, 73920, 92400, 71944, 87, 87, 48, 32, 24, 24, 24, 24, 24, 24, 24, 24, 24, 16, 16, 16, 23704, 127, 90, 90, 128, 60, 60, 60, 60, 54, 54, 54, 54, 54, 54, 48, 48, 48, 48, 48, 48, 48, 48, 36, 36, 36, 36, 36, 36, 36, 36, 30, 30, 30, 30, 29, 29, 29, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 16, 16, 16, 16, 16, 16, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4680, 37440, 131040, 262080, 327120, 40, 24, 24, 16, 16, 253968, 224, 68, 68, 64, 56, 54, 54, 54, 54, 48, 48, 32, 32, 30, 30, 28, 24, 24, 24, 24, 24, 24, 24, 24, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 12, 12, 12, 12, 12, 12, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 105064, 144, 144, 90, 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12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 14, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4392, 26352, 65688, 32, 16, 16, 86968, 24, 44, 16, 16, 12, 12, 12, 12, 12, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 25955, 248, 201, 181, 118, 99, 98, 92, 75, 73, 47, 45, 36, 36, 33, 33, 32, 30, 30, 29, 29, 29, 28, 55, 27, 52, 26, 26, 26, 26, 26, 26, 26, 25, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 21, 20, 20, 19, 18, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 14, 14, 26, 24, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 10, 10, 10, 10, 10, 10, 10, 9, 16, 16, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 522, 3132, 7830, 10440, 7462, 27, 18, 18, 16, 16, 16, 22, 10, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 396, 792, 508, 72, 40, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 240, 93, 68, 34, 768, 302, 185, 67, 33, 23, 15, 15, 15, 15, 10, 10, 10, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 742, 266, 156, 60, 57, 53, 25, 22, 19, 17, 17, 17, 16, 15, 14, 14, 12, 12, 12, 12, 12, 12, 12, 12, 10, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1804, 682, 108, 71, 15, 15, 15, 15, 2348, 1976, 414, 292, 102, 72, 140, 62, 62, 58, 56, 50, 24, 15, 15, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 1398, 546, 260, 120, 109, 93, 168, 164, 66, 63, 60, 56, 110, 48, 48, 47, 47, 45, 45, 44, 43, 40, 39, 37, 37, 72, 36, 69, 34, 33, 32, 32, 32, 31, 30, 27, 23, 22, 19, 19, 36, 36, 18, 18, 18, 17, 32, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 14, 14, 14, 14, 14, 14, 14, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 10, 18, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 15, 14, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1504, 287, 154, 143, 72, 16, 12, 6, 6, 5372, 1126, 616, 550, 240, 40, 28, 21, 12, 12, 12, 12, 12, 10, 10, 10, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 2, 1192, 596, 578, 888, 387, 208, 206, 108, 105, 75, 74, 71, 70, 62, 61, 58, 53, 52, 47, 46, 43, 42, 40, 39, 34, 32, 32, 30, 30, 29, 28, 27, 27, 27, 25, 24, 24, 24, 23, 22, 20, 19, 17, 16, 15, 14, 14, 14, 14, 14, 14, 12, 12, 12, 10, 10, 10, 10, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2984, 29, 12, 12, 4376, 450, 838, 706, 130, 128, 65, 61, 55, 49, 37, 24, 24, 22, 19, 36, 17, 16, 30, 14, 12, 12, 10, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 4, 4, 272, 453, 420, 391, 162, 287, 102, 95, 86, 84, 84, 81, 74, 48, 47, 43, 40, 40, 39, 39, 37, 37, 37, 36, 35, 35, 34, 33, 33, 65, 30, 29, 29, 27, 26, 26, 26, 26, 26, 24, 23, 22, 21, 21, 21, 21, 21, 20, 20, 20, 20, 20, 20, 19, 19, 19, 19, 19, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 35, 35, 35, 35, 17, 16, 16, 16, 15, 14, 14, 13, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 350, 294, 274, 1380, 1160, 548, 10, 8, 1532, 432, 359, 214, 75, 71, 62, 62, 61, 118, 56, 54, 104, 45, 45, 72, 33, 28, 52, 23, 19, 19, 18, 16, 16, 14, 14, 14, 12, 12, 12, 12, 20, 10, 10, 10, 18, 8, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 45, 45, 66, 66, 48, 66, 66, 48, 38, 38, 38, 38, 38, 29, 29, 26, 23, 23, 38, 38, 17, 17, 26, 44, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 82, 27, 25, 23, 14, 14, 11, 8, 4, 2, 2, 2, 21, 21, 12, 11, 11, 11, 11, 8, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 2, 2, 23, 23, 23, 23, 23, 22, 22, 21, 16, 23, 23, 11, 6, 3, 3, 3, 3, 4, 2, 2, 3, 3, 2, 1, 24, 24, 10, 10, 9, 9, 8, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 4, 2, 20, 20, 17, 21, 21, 15
-});
+// GROUP_PRO_SIZE: 1~964656 (20-bits)
+// GROUP_PRO_TYPE: 0~4      (3-bits)
+// GROUP_PRO_SEED: ...      (36-bits)
 
-constexpr auto GROUP_PRO_TYPE = std::to_array<uint8_t>({
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 4, 4, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 1, 1, 4, 4, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 3, 4, 4, 0, 4, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 4, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 1, 1, 4, 4, 4, 4, 3, 0, 4, 1, 4, 4, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 2, 4, 4, 4, 4, 1, 3, 4, 4, 4, 4, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 4, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 4, 4, 4, 4, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 0, 4, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 4, 4, 4, 1, 2, 1, 4, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 1, 1, 1, 4, 4, 4, 1, 4, 4, 1, 4, 4, 4, 4, 4, 1, 4, 4, 1, 4, 4, 1, 4, 4, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 4, 4, 4, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 4, 1, 4, 4, 4, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 4, 4, 1, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 4, 4, 4, 4, 4, 4, 3, 4, 4, 1, 1, 1, 4, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 4, 4, 4, 4, 1, 1, 1
-});
+// seed(36) + size(20) + type(3)
 
-constexpr auto GROUP_PRO_SEED = std::to_array<uint64_t>({
-    0x000000000, 0x000000003, 0x00000000F, 0x00000003F, 0x0000000FF, 0x0000003FF, 0x000000FFF, 0x000003FFF, 0x00000FFFF, 0x00003FFFF, 0x0000FFFFF, 0x0003FFFFF, 0x000FFFFFF, 0x003FFFFFF, 0x00FFFFFFF, 0x000000004, 0x00000001C, 0x00000007C, 0x00000037C, 0x0000007FC, 0x000001FFC, 0x000007FFC, 0x000037FFC, 0x00007FFFC, 0x0001FFFFC, 0x0007FFFFC, 0x0037FFFFC, 0x007FFFFFC, 0x43FF4FFFC, 0x43F4FFFFC, 0x034FFFFFC, 0x000000200, 0x00000020C, 0x00000023C, 0x0000002FC, 0x000000BFC, 0x000002FFC, 0x00000BFFC, 0x00002FFFC, 0x0000BFFFC, 0x0002FFFFC, 0x000BFFFFC, 0x002FFFFFC, 0x00BFFFFFC, 0x43FFF2FFC, 0x000000050, 0x000000350, 0x0000005F0, 0x000001DF0, 0x000005FF0, 0x000035FF0, 0x00005FFF0, 0x0001DFFF0, 0x0005FFFF0, 0x0035FFFF0, 0x10F53FFF0, 0x005FFFFF0, 0x43FF47FF0, 0x43FF4FDF0, 0x43F4FFDF0, 0x43F4DFFF0, 0x0347FFFF0, 0x034FDFFF0, 0x034FFFDF0, 0x41FD3FFF0, 0x437D3FFF0, 0x03F53FFF0, 0x03FFF53F0, 0x43F53FFF0, 0x43FFF53F0, 0x41D3FFFF0, 0x4353FFFF0, 0x13FFF53F0, 0x53FFF53F0, 0x13F53FFF0, 0x4F4D3FFF0, 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0x436A63000, 0x0239E9000, 0x029E93000, 0x0346AB000, 0x0347AA000, 0x0349AB000, 0x034AA7000, 0x034AAD000, 0x034AE9000, 0x034DAA000, 0x034EA9000, 0x03A693000, 0x048AED000, 0x129E93000, 0x13A267000, 0x41D2AB000, 0x41D3AA000, 0x4352AB000, 0x4353AA000, 0x51AE63000, 0x51E9A3000, 0x51EA93000, 0x13A89D000, 0x434DAA000, 0x5069AF000, 0x021AED000, 0x0229B7000, 0x088E6D000, 0x08B5A3000, 0x10B9B9000, 0x41AE93000, 0x41EA93000, 0x41FA89000, 0x4368E9000, 0x4369A3000, 0x438A6D000, 0x4690AF000, 0x518AE7000, 0x518BE9000, 0x03E689000, 0x10BAB5000, 0x550BAB000, 0x02C9B9000, 0x02E2B5000, 0x08C9B9000, 0x0A52E3000, 0x13A693000, 0x418AED000, 0x41A8BD000, 0x41BA2D000, 0x436A93000, 0x452E2B000, 0x4692E3000, 0x51AE93000, 0x51EEA1000, 0x51FA29000, 0x03E929000, 0x437A89000, 0x006EAD000, 0x007EA9000, 0x028AF5000, 0x02CAB5000, 0x02DA2D000, 0x0498AF000, 0x060AE7000, 0x060BE9000, 0x0618AF000, 0x061A2F000, 0x061CAB000, 0x061E2B000, 0x0622E7000, 0x0623E9000, 0x088AF5000, 0x0898BD000, 0x089A37000, 0x08A2F5000, 0x08A4B7000, 0x08CAB5000, 0x08DA2D000, 0x08DA87000, 0x08DB89000, 0x08E2B5000, 0x08E729000, 0x10B9E9000, 0x10F6A9000, 0x12A2F5000, 0x12A72D000, 0x12A787000, 0x12E8B5000, 0x12E92D000, 0x12E987000, 0x12F989000, 0x41B4AB000, 0x41B62B000, 0x41B68B000, 0x41B6A3000, 0x4528AF000, 0x452CAB000, 0x4588AF000, 0x458A2F000, 0x458CAB000, 0x458E2B000, 0x4628BD000, 0x462A37000, 0x463A2D000, 0x463A87000, 0x463B89000, 0x51A98F000, 0x51ADA3000, 0x552A2F000, 0x552E8B000, 0x0A272D000, 0x13A897000, 0x13B989000, 0x41BB89000, 0x51AB8D000, 0x51BA27000, 0x51BA8D000, 0x51BB29000, 0x51BEA1000, 0x10AAF5000, 0x10FAA5000, 0x550AAF000, 0x550FAA000, 0x1A52E3000, 0x0066AF000, 0x0076AB000, 0x02C9E9000, 0x02D4AB000, 0x02D62B000, 0x02D68B000, 0x02D6A3000, 0x02DB89000, 0x02E987000, 0x068DA3000, 0x08C9E9000, 0x08D4AB000, 0x08D62B000, 0x08D68B000, 0x08D6A3000, 0x08E627000, 0x08E68D000, 0x08E987000, 0x08F6A1000, 0x0A2787000, 0x0A522F000, 0x0A528F000, 0x0A588F000, 0x0BC989000, 0x0BD4A8000, 0x0EC989000, 0x0ED4A8000, 0x12D4AB000, 0x12D62B000, 0x12D68B000, 0x12D6A3000, 0x12DA2D000, 0x12E627000, 0x12E68D000, 0x12E729000, 0x13E929000, 0x1A522F000, 0x1BD4A8000, 0x43A4E9000, 0x43A5A3000, 0x43A639000, 0x43A663000, 0x43A68D000, 0x43A693000, 0x43AA35000, 0x4634AB000, 0x46362B000, 0x46368B000, 0x4636A3000, 0x46922F000, 0x46928F000, 0x46988F000, 0x46B827000, 0x46F4A8000, 0x47B4A8000, 0x4D8A2D000, 0x4DB4A8000, 0x0216AF000, 0x0216BB000, 0x0216EB000, 0x0217AB000, 0x4186AF000, 0x4186BB000, 0x4186EB000, 0x4187AB000, 0x4D8B89000, 0x4DCA89000, 0x4F4A89000, 0x578A27000, 0x578A8D000, 0x578B29000, 0x578EA1000, 0x57CA29000, 0x10F5AA000, 0x1A528F000, 0x58EA35000, 0x46BC29000, 0x02E627000, 0x02E68D000, 0x02E729000, 0x02E92D000, 0x02F6A1000, 0x02F989000, 0x04A62F000, 0x04B62B000, 0x04B68B000, 0x0688B7000, 0x06CA27000, 0x06CB29000, 0x08E92D000, 0x08F989000, 0x12DA87000, 0x12DB89000, 0x13E689000, 0x4D84AB000, 0x4D862B000, 0x4D868B000, 0x4D86A3000, 0x4FA609000, 0x59BE09000, 0x0022A9000, 0x0021AA000, 0x0480AA000, 0x002AA7000, 0x0026AB000, 0x0482AB000, 0x438A89000, 0x43A4A8000, 0x00AAB7000, 0x048AAF000, 0x00A6AF000, 0x0229AF000, 0x00E9AB000, 0x0226AF000, 0x0236AB000, 0x023AA7000, 0x434BAA000, 0x022AB7000, 0x00EEA9000, 0x00EAAD000, 0x0227AB000, 0x023DAA000, 0x434AAB000, 0x4363AA000, 0x0298AF000, 0x0239AB000, 0x00EDAA000, 0x506ABB000, 0x506AAF000, 0x518AAF000, 0x048EAB000, 0x41AE2B000, 0x41EA2B000, 0x41A8AF000, 0x41ACAB000, 0x41E8AB000, 0x060AAF000, 0x060BAB000, 0x060EAB000, 0x060FAA000, 0x518BAB000, 0x4368AB000, 0x436A2B000, 0x438AB9000, 0x51AA2F000, 0x51AE8B000, 0x438AAD000, 0x438EA9000, 0x4F8A89000, 0x53EAA1000, 0x438DAA000, 0x43A4AB000, 0x43A62B000, 0x43A68B000, 0x43A6A3000, 0x43AA2D000, 0x4FA4A8000, 0x0E8A27000, 0x0E8B29000, 0x0FA229000, 0x43AA87000, 0x43AB89000, 0x43BA89000, 0x58EA27000, 0x58EB29000, 0x1FA289000, 0x00A0AA000, 0x10A0AA000, 0x00A2AB000, 0x00A3AA000, 0x03A0AA000, 0x10A2AB000, 0x10A3AA000, 0x13A0AA000, 0x00AAAF000, 0x00ABAB000, 0x00AEAB000, 0x00AFAA000, 0x10ABAB000, 0x03A2AB000, 0x03A3AA000, 0x0FA0AA000, 0x13A2AB000, 0x13A3AA000, 0x10AAAF000, 0x10AFAA000, 0x0E82AB000, 0x0E83AA000, 0x1FA0AA000, 0x005554000, 0x051854000, 0x052454000, 0x055184000, 0x055244000, 0x455184000, 0x455244000, 0x021554000, 0x048554000, 0x418554000, 0x452154000, 0x454854000, 0x0055A4000, 0x005A54000, 0x005694000, 0x005664000, 0x00A554000, 0x10A554000, 0x550A54000, 0x506954000, 0x006654000, 0x055824000, 0x058254000, 0x455824000, 0x022654000, 0x452264000, 0x048664000, 0x021A54000, 0x0485A4000, 0x418A54000, 0x4521A4000, 0x518A54000, 0x0A5184000, 0x0A5244000, 0x1A5184000, 0x469184000, 0x469244000, 0x048694000, 0x051A84000, 0x0524A4000, 0x052624000, 0x052A14000, 0x0552A0000, 0x056224000, 0x062254000, 0x4552A0000, 0x456224000, 0x0215A4000, 0x021664000, 0x021694000, 0x4185A4000, 0x418664000, 0x418694000, 0x04A854000, 0x454A84000, 0x00A5A4000, 0x00A664000, 0x00A694000, 0x0681A4000, 0x10A5A4000, 0x0056A8000, 0x0069A4000, 0x006A94000, 0x068264000, 0x10A664000, 0x506A64000, 0x5069A4000, 0x005AA4000, 0x02A254000, 0x049A24000, 0x452A24000, 0x5528A4000, 0x4690A4000, 0x0A5824000, 0x469824000, 0x1A8254000, 0x55A824000, 0x1A5824000, 0x04A4A4000, 0x022A94000, 0x4522A8000, 0x0486A8000, 0x048AA4000, 0x021AA4000, 0x0229A4000, 0x418AA4000, 0x089A24000, 0x08A4A4000, 0x12A624000, 0x462A24000, 0x0A2624000, 0x0A52A0000, 0x4692A0000, 0x51AA84000, 0x0216A8000, 0x4186A8000, 0x1A52A0000, 0x0688A4000, 0x00A6A8000, 0x00AAA4000, 0x0682A8000, 0x10A6A8000, 0x10AAA4000, 0x506AA8000,
+constexpr auto PATTERN_DATA = std::to_array<uint64_t>({
+#include "pattern.inc"
 });
 
-constexpr auto GROUP_SEED_MAP = std::to_array<uint64_t>({
-    0x00000000000000, 0x01000000000003, 0x0200000000000F, 0x0300000000003F, 0x040000000000FF, 0x050000000003FF, 0x06000000000FFF, 0x07000000003FFF,
-    0x0800000000FFFF, 0x0900000003FFFF, 0x0A0000000FFFFF, 0x0B0000003FFFFF, 0x0C000000FFFFFF, 0x0D000003FFFFFF, 0x0E00000FFFFFFF, 0x0F000000000004,
-    0x1000000000001C, 0x1100000000007C, 0x1200000000037C, 0x130000000007FC, 0x14000000001FFC, 0x15000000007FFC, 0x16000000037FFC, 0x1700000007FFFC,
-    0x180000001FFFFC, 0x190000007FFFFC, 0x1A0000037FFFFC, 0x1B000007FFFFFC, 0x1B00443FF4FFFC, 0x1B00563FF4FFFC, 0x1B00683FFF4FFC, 0x1B007A3FFF4FFC,
-    0x1B00843F4FFFFC, 0x1B00963F4FFFFC, 0x1B00A83FFFF4FC, 0x1B00BA3FFFF4FC, 0x1B00C034FFFFFC, 0x1B00D234FFFFFC, 0x1B00EC3FFFFF4C, 0x1B00FE3FFFFF4C,
-    0x1C000000000200, 0x1D00000000020C, 0x1E00000000023C, 0x1F0000000002FC, 0x20000000000BFC, 0x21000000002FFC, 0x2200000000BFFC, 0x2300000002FFFC,
-    0x240000000BFFFC, 0x250000002FFFFC, 0x26000000BFFFFC, 0x27000002FFFFFC, 0x2800000BFFFFFC, 0x2800443FFF2FFC, 0x2800563FFFF8FC, 0x28006823FFFFFC,
-    0x28007A38FFFFFC, 0x29000000000050, 0x2A000000000350, 0x2B0000000005F0, 0x2C000000001DF0, 0x2D000000005FF0, 0x2E000000035FF0, 0x2F00000005FFF0,
-    0x300000001DFFF0, 0x310000005FFFF0, 0x320000035FFFF0, 0x3200410F53FFF0, 0x32006D3FFF50F0, 0x33000005FFFFF0, 0x3300443FF47FF0, 0x3300563FF47FF0,
-    0x3300683F7D3FF0, 0x33007A3F7D3FF0, 0x3300843FF4FDF0, 0x3300963FF4FDF0, 0x3300A81FFD3FF0, 0x3300BA1FFD3FF0, 0x3300C43F4FFDF0, 0x3300D63F4FFDF0,
-    0x3300E81FFFD3F0, 0x3300FA1FFFD3F0, 0x3301043F4DFFF0, 0x3301163F4F7FF0, 0x3301283F7FD3F0, 0x33013A3F7FD3F0, 0x330140347FFFF0, 0x330152347FFFF0,
-    0x33016C3FFF7D30, 0x33017E3FFF7D30, 0x33018034FDFFF0, 0x33019234FDFFF0, 0x3301AC3F7FFD30, 0x3301BE3F7FFD30, 0x3301C034FFFDF0, 0x3301D234FFFDF0,
-    0x3301EC1FFFFD30, 0x3301FE1FFFFD30, 0x3302041FD3FFF0, 0x33021637D3FFF0, 0x3302283FFF4DF0, 0x33023A3FFF4FD0, 0x33024437D3FFF0, 0x3302561FD3FFF0,
-    0x3302683FFF4F70, 0x33027A3FFF4F70, 0x3302803F53FFF0, 0x3302923F53FFF0, 0x3302AC3FFF53F0, 0x3302BE3FFF53F0, 0x3302C03FFF53F0, 0x3302D23FFF53F0,
-    0x3302EC3F53FFF0, 0x3302FE3F53FFF0, 0x3303043F53FFF0, 0x3303163F53FFF0, 0x3303283FFF53F0, 0x33033A3FFF53F0, 0x3303443FFF53F0, 0x3303563FFF53F0,
-    0x3303683F53FFF0, 0x33037A3F53FFF0, 0x3303841D3FFFF0, 0x330396353FFFF0, 0x3303A83FFFF470, 0x3303BA3FFFF4D0, 0x3303C4353FFFF0, 0x3303D61D3FFFF0,
-    0x3303E83FFFF4D0, 0x3303FA3FFFF470, 0x3304013FFF53F0, 0x33042D3F53FFF0, 0x3304453FFF53F0, 0x3304693F53FFF0, 0x3304813F53FFF0, 0x330491CF53FFF0,
-    0x3304AD3FFF53F0, 0x3304BD3FFF5CF0, 0x3304C4F4D3FFF0, 0x3304D67CD3FFF0, 0x3304E83FFF4FD0, 0x3304FA3FFF4DF0, 0x3305043F4FDFF0, 0x3305163F4DFFF0,
-    0x330528FFF4D3F0, 0x33053AFF7CD3F0, 0x3305410F5FFFF0, 0x33056DFFFF50F0, 0x34000000000210, 0x35000000000270, 0x36000000000B70, 0x37000000001BF0,
-    0x38000000006FF0, 0x39000000027FF0, 0x3A00000006FFF0, 0x3B0000001BFFF0, 0x3C0000006FFFF0, 0x3D0000027FFFF0, 0x3D00443F4CBFF0, 0x3D00563F4FE3F0,
-    0x3D006823FFD3F0, 0x3D007A38FFD3F0, 0x3D00843FF48FF0, 0x3D00963FF4E3F0, 0x3D00A823FD3FF0, 0x3D00BA38FD3FF0, 0x3D00C43FF4E3F0, 0x3D00D63FF48FF0,
-    0x3D00E838FD3FF0, 0x3D00FA23FD3FF0, 0x3D010438D3FFF0, 0x3D011623D3FFF0, 0x3D01283FFF60F0, 0x3D013A3FFF4B30, 0x3D01443FFF2730, 0x3D01563FFF60F0,
-    0x3D016823D3FFF0, 0x3D017A3873FFF0, 0x3E000006FFFFF0, 0x3E00443F4BFFF0, 0x3E00563F4EFFF0, 0x3E00683EFFD3F0, 0x3E007A3FBFD3F0, 0x3E00843F4FEFF0,
-    0x3E00963F4BFFF0, 0x3E00A83FFBD3F0, 0x3E00BA2FFFD3F0, 0x3E00C034BFFFF0, 0x3E00D234EFFFF0, 0x3E00EC2FFFFD30, 0x3E00FE3BFFFD30, 0x3E010034EFFFF0,
-    0x3E011234BFFFF0, 0x3E012C3BFFFD30, 0x3E013E2FFFFD30, 0x3E014034FBFFF0, 0x3E015234FEFFF0, 0x3E016C3EFFFD30, 0x3E017E3FBFFD30, 0x3E018034FEFFF0,
-    0x3E019234FBFFF0, 0x3E01AC3FBFFD30, 0x3E01BE3EFFFD30, 0x3E01C43FF4FBF0, 0x3E01D63FF63FF0, 0x3E01E83EFD3FF0, 0x3E01FA8FFD3FF0, 0x3E02043FF63FF0,
-    0x3E02163FF4FBF0, 0x3E02288FFD3FF0, 0x3E023A3EFD3FF0, 0x3E02443ED3FFF0, 0x3E02568FD3FFF0, 0x3E02683FFF4BF0, 0x3E027A3FFF63F0, 0x3E02843F4EFFF0,
-    0x3E02963F4FFBF0, 0x3E02A88FFFD3F0, 0x3E02BA3EFFD3F0, 0x3E02C43F4FBFF0, 0x3E02D63F4FEFF0, 0x3E02E8E3FFD3F0, 0x3E02FA3BFFD3F0, 0x3E03043FF4EFF0,
-    0x3E03163FF78FF0, 0x3E03283BFD3FF0, 0x3E033AE3FD3FF0, 0x3E03443FF78FF0, 0x3E03563FF4EFF0, 0x3E0368E3FD3FF0, 0x3E037A3BFD3FF0, 0x3E03841FFCBFF0,
-    0x3E039637FFE3F0, 0x3E03A823FFFDF0, 0x3E03BA38FFFFD0, 0x3E03C437FCBFF0, 0x3E03D61FFFE3F0, 0x3E03E823FFFF70, 0x3E03FA38FFFF70, 0x3E04043FFF2FD0,
-    0x3E04163FFFF870, 0x3E0428273FFFF0, 0x3E043A60FFFFF0, 0x3E04453FFF6CF0, 0x3E04553FFFE730, 0x3E0469387FFFF0, 0x3E047923DFFFF0, 0x3E04803FF78FF0,
-    0x3E04923F7CEFF0, 0x3E04ACE3FFD3F0, 0x3E04BE3BFDF3F0, 0x3E04C43BD3FFF0, 0x3E04D6E3D3FFF0, 0x3E04E83FFF6CF0, 0x3E04FA3FFF7B30, 0x3E05043F7CEFF0,
-    0x3E05163F7F8FF0, 0x3E05283BFFD3F0, 0x3E053AE3FFD3F0, 0x3E05443FFF27F0, 0x3E05563FFF63F0, 0x3E05682FD3FFF0, 0x3E057AF873FFF0, 0x3E05843FFFE730,
-    0x3E05963FFF6CF0, 0x3E05A8E3D3FFF0, 0x3E05BA3B73FFF0, 0x3E05C4F4FCBFF0, 0x3E05D67CFFE3F0, 0x3E05E823FFFFD0, 0x3E05FA38FFFDF0, 0x3E0604F8D3FFF0,
-    0x3E06162FD3FFF0, 0x3E06283FFF63F0, 0x3E063A3FFF4BF0, 0x3E06443FF4BFF0, 0x3E06563FF7E3F0, 0x3E06682FFD3FF0, 0x3E067AF8FD3FF0, 0x3E06843FF7E3F0,
-    0x3E06963FF4BFF0, 0x3E06A8F8FD3FF0, 0x3E06BA2FFD3FF0, 0x3E06C4FF4CBFF0, 0x3E06D6FF4FE3F0, 0x3E06E823FFDFF0, 0x3E06FA38FFDFF0, 0x3E07003FF7E3F0,
-    0x3E07123F7CBFF0, 0x3E072CF8FFD3F0, 0x3E073E2FFDF3F0, 0x3E07413F7CEFF0, 0x3E0751CFF78FF0, 0x3E076D3BFDF3F0, 0x3E077DE3FFDCF0, 0x3E07843F7CBFF0,
-    0x3E07963F7FE3F0, 0x3E07A82FFFD3F0, 0x3E07BAF8FFD3F0, 0x3E07C4FFF48FF0, 0x3E07D6FFF4E3F0, 0x3E07E823FDFFF0, 0x3E07FA38FDFFF0, 0x3E0804FFF4E3F0,
-    0x3E0816FFF48FF0, 0x3E082838FDFFF0, 0x3E083A23FDFFF0, 0x3E08413F7CBFF0, 0x3E0851CFF7E3F0, 0x3E086D2FFDF3F0, 0x3E087DF8FFDCF0, 0x3E088438DFFFF0,
-    0x3E089623DFFFF0, 0x3E08A8FFFF60F0, 0x3E08BAFFFF4B30, 0x3E08C4FFFF2730, 0x3E08D6FFFF60F0, 0x3E08E823DFFFF0, 0x3E08FA387FFFF0, 0x3F000000000A00,
-    0x40000000000A30, 0x41000000000AF0, 0x42000000002BF0, 0x4300000000AFF0, 0x4400000002BFF0, 0x450000000AFFF0, 0x460000002BFFF0, 0x47000000AFFFF0,
-    0x48000002BFFFF0, 0x4900000AFFFFF0, 0x4900443EFCBFF0, 0x4900563FBFE3F0, 0x49006822FFFFF0, 0x49007A38BFFFF0, 0x4900843FBCBFF0, 0x4900962FFFE3F0,
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-    0xB1004005577000, 0xB1005205577000, 0xB1006434D55000, 0xB100761CD55000, 0xB1008005775000, 0xB1009205775000, 0xB100A8534D5000, 0xB100BA51CD5000,
-    0xB100C051D47000, 0xB100D25354D000, 0xB100EC1D475000, 0xB100FE354D5000, 0xB1010051D4D000, 0xB1011253547000, 0xB1012C35475000, 0xB1013E1D4D5000,
-    0xB1014053547000, 0xB1015251D4D000, 0xB1016C1D4D5000, 0xB1017E35475000, 0xB101805354D000, 0xB1019251D47000, 0xB101AC354D5000, 0xB101BE1D475000,
-    0xB101C41D475000, 0xB101D6354D5000, 0xB101E851D47000, 0xB101FA5354D000, 0xB102041D4D5000, 0xB1021635475000, 0xB1022853547000, 0xB1023A51D4D000,
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-    0xB102C435475000, 0xB102D61D4D5000, 0xB102E851D4D000, 0xB102FA53547000, 0xB10304354D5000, 0xB103161D475000, 0xB103285354D000, 0xB1033A51D47000,
-    0xB1034435547000, 0xB103561D54D000, 0xB103681D54D000, 0xB1037A35547000, 0xB103843554D000, 0xB103961D547000, 0xB103A83554D000, 0xB103BA1D547000,
-    0xB103C007755000, 0xB103D207755000, 0xB103EC5534D000, 0xB103FE551CD000, 0xB1040034755000, 0xB1041234D55000, 0xB1042C551D3000, 0xB1043E55353000,
-    0xB1044034D55000, 0xB1045234755000, 0xB1046C55353000, 0xB1047E551D3000, 0xB1048035475000, 0xB10492354D5000, 0xB104AC51D53000, 0xB104BE53553000,
-    0xB104C0354D5000, 0xB104D235475000, 0xB104EC53553000, 0xB104FE51D53000, 0xB1050035547000, 0xB105123554D000, 0xB1052C1D553000, 0xB1053E35553000,
-    0xB105403554D000, 0xB1055235547000, 0xB1056C35553000, 0xB1057E1D553000, 0xB105804D475000, 0xB105924D4D5000, 0xB105AC51D4D000, 0xB105BE5354D000,
-    0xB105C04D4D5000, 0xB105D24D475000, 0xB105EC5354D000, 0xB105FE51D4D000, 0xB106004D547000, 0xB106124D54D000, 0xB1062C1D54D000, 0xB1063E3554D000,
-    0xB106404D54D000, 0xB106524D547000, 0xB1066C3554D000, 0xB1067E1D54D000, 0xB106841D355000, 0xB1069635355000, 0xB106A855347000, 0xB106BA5534D000,
-    0xB106C435355000, 0xB106D61D355000, 0xB106E85534D000, 0xB106FA55347000, 0xB1070453475000, 0xB10716534D5000, 0xB1072851D35000, 0xB1073A53535000,
-    0xB10744534D5000, 0xB1075653475000, 0xB1076853535000, 0xB1077A51D35000, 0xB1078453547000, 0xB107965354D000, 0xB107A81D535000, 0xB107BA35535000,
-    0xB107C45354D000, 0xB107D653547000, 0xB107E835535000, 0xB107FA1D535000, 0xB1080454D47000, 0xB1081654D4D000, 0xB108281D4D5000, 0xB1083A354D5000,
-    0xB1084454D4D000, 0xB1085654D47000, 0xB10868354D5000, 0xB1087A1D4D5000, 0xB108810F555000, 0xB108AD5550F000, 0xB108C550F55000, 0xB108E9550F5000,
-    0xB2000005461000, 0xB2001205491000, 0xB2004004915000, 0xB2005204615000, 0xB2006820155000, 0xB2007A02155000, 0xB2008004615000, 0xB2009204915000,
-    0xB200A455021000, 0xB200B655201000, 0xB200C002155000, 0xB200D108155000, 0xB200E855480000, 0xB200FA55480000, 0xB3000005467000, 0xB300120549D000,
-    0xB30040049D5000, 0xB3005204675000, 0xB3006820D55000, 0xB3007A02755000, 0xB3008004675000, 0xB30092049D5000, 0xB300A455027000, 0xB300B65520D000,
-    0xB300C002755000, 0xB300D108D55000, 0xB300E855483000, 0xB300FA55483000, 0xB3010002D55000, 0xB3011108755000, 0xB3012C55348000, 0xB3013D05563000,
-    0xB30140046D5000, 0xB3015206175000, 0xB3016C05761000, 0xB3017E05671000, 0xB301841D461000, 0xB3019635491000, 0xB301A818547000, 0xB301BA2454D000,
-    0xB301C41D491000, 0xB301D635461000, 0xB301E824547000, 0xB301FA1854D000, 0xB3020435461000, 0xB302161D491000, 0xB302281854D000, 0xB3023A24547000,
-    0xB3024435491000, 0xB302561D461000, 0xB302682454D000, 0xB3027A18547000, 0xB3028034615000, 0xB3029234915000, 0xB302AC51853000, 0xB302BE52453000,
-    0xB302C034915000, 0xB302D234615000, 0xB302EC52453000, 0xB302FE51853000, 0xB3030035461000, 0xB3031235491000, 0xB3032C18553000, 0xB3033E24553000,
-    0xB3034035491000, 0xB3035235461000, 0xB3036C24553000, 0xB3037E18553000, 0xB303804D461000, 0xB303924D491000, 0xB303AC1854D000, 0xB303BE2454D000,
-    0xB303C04D491000, 0xB303D24D461000, 0xB303EC2454D000, 0xB303FE1854D000, 0xB3040453461000, 0xB3041653491000, 0xB3042818535000, 0xB3043A24535000,
-    0xB3044453491000, 0xB3045653461000, 0xB3046824535000, 0xB3047A18535000, 0xB3048021475000, 0xB30491814D5000, 0xB304AC51D48000, 0xB304BD53560000,
-    0xB304C0214D5000, 0xB304D181475000, 0xB304EC53548000, 0xB304FD51D60000, 0xB3050021547000, 0xB305118154D000, 0xB3052C1D548000, 0xB3053D35560000,
-    0xB305402154D000, 0xB3055181547000, 0xB3056C35548000, 0xB3057D1D560000, 0xB3058048547000, 0xB305924854D000, 0xB305AC1D461000, 0xB305BE35491000,
-    0xB305C04854D000, 0xB305D248547000, 0xB305EC35461000, 0xB305FE1D491000, 0xB3060418475000, 0xB30616244D5000, 0xB3062851D21000, 0xB3063A53521000,
-    0xB30644184D5000, 0xB3065624475000, 0xB3066853521000, 0xB3067A51D21000, 0xB3068418547000, 0xB306962454D000, 0xB306A81D521000, 0xB306BA35521000,
-    0xB306C41854D000, 0xB306D624547000, 0xB306E835521000, 0xB306FA1D521000, 0xB307041D215000, 0xB3071635215000, 0xB3072851847000, 0xB3073A5244D000,
-    0xB3074435215000, 0xB307561D215000, 0xB307685184D000, 0xB3077A52447000, 0xB3078452147000, 0xB307955814D000, 0xB307A81D485000, 0xB307B935605000,
-    0xB307C45214D000, 0xB307D558147000, 0xB307E835485000, 0xB307F91D605000, 0xB40000055B7000, 0xB400120567D000, 0xB400400567D000, 0xB40052055B7000,
-    0xB4006824F55000, 0xB4007A0B755000, 0xB4008005B75000, 0xB4009206DD5000, 0xB400A4550B7000, 0xB400B65524F000, 0xB400C005677000, 0xB400D20576D000,
-    0xB400E8247D5000, 0xB400FA187D5000, 0xB401000B755000, 0xB4011183D55000, 0xB401285548F000, 0xB4013A5548F000, 0xB401400576D000, 0xB4015205677000,
-    0xB4016837615000, 0xB4017A1E715000, 0xB4018005ED5000, 0xB4019206D75000, 0xB401AC0576D000, 0xB401BE0567D000, 0xB401C023D55000, 0xB401D10B755000,
-    0xB401EC55F48000, 0xB401FD0556F000, 0xB40204523D5000, 0xB4021550B75000, 0xB402285F485000, 0xB40239056F5000, 0xB4024023755000, 0xB402510BD55000,
-    0xB4026C55363000, 0xB4027D55363000, 0xB4028436355000, 0xB4029536355000, 0xB402A855237000, 0xB402B9550BD000, 0xB402C452375000, 0xB402D550BD5000,
-    0xB402E853635000, 0xB402F953635000, 0xB40304F4855000, 0xB4031506F55000, 0xB403285523D000, 0xB40339550B7000, 0xB4034006775000, 0xB40352076D5000,
-    0xB4036C5247D000, 0xB4037E5187D000, 0xB4038007675000, 0xB40392067D5000, 0xB403AC51F61000, 0xB403BE51C9D000, 0xB403C00ED55000, 0xB403D1C8755000,
-    0xB403EC5534B000, 0xB403FD5584F000, 0xB404041D467000, 0xB404163561D000, 0xB4042819D47000, 0xB4043A8754D000, 0xB404441D46D000, 0xB4045635617000,
-    0xB404681B547000, 0xB4047A85D4D000, 0xB404841D617000, 0xB404963546D000, 0xB404A885D47000, 0xB404BA1B54D000, 0xB404C41D61D000, 0xB404D635467000,
-    0xB404E887547000, 0xB404FA19D4D000, 0xB4050435467000, 0xB405161D61D000, 0xB4052819D4D000, 0xB4053A87547000, 0xB405443546D000, 0xB405561D617000,
-    0xB405681B54D000, 0xB4057A85D47000, 0xB4058435617000, 0xB405961D46D000, 0xB405A885D4D000, 0xB405BA1B547000, 0xB405C43561D000, 0xB405D61D467000,
-    0xB405E88754D000, 0xB405FA19D47000, 0xB40600067D5000, 0xB4061207675000, 0xB4062C5874D000, 0xB4063E519CD000, 0xB4064049D47000, 0xB406526354D000,
-    0xB4066C1D46D000, 0xB4067E3561D000, 0xB4068049D4D000, 0xB4069263547000, 0xB406AC3546D000, 0xB406BE1D61D000, 0xB406C41B475000, 0xB406D6874D5000,
-    0xB406E851D27000, 0xB406FA5358D000, 0xB407041B4D5000, 0xB4071687475000, 0xB4072853527000, 0xB4073A51D8D000, 0xB407441B547000, 0xB407568754D000,
-    0xB407681D527000, 0xB4077A3558D000, 0xB407841B54D000, 0xB4079687547000, 0xB407A835527000, 0xB407BA1D58D000, 0xB407C41D275000, 0xB407D6358D5000,
-    0xB407E851B47000, 0xB407FA5874D000, 0xB4080435275000, 0xB408161D8D5000, 0xB4082851B4D000, 0xB4083A58747000, 0xB40840076D5000, 0xB4085206775000,
-    0xB4086C53761000, 0xB4087E51E71000, 0xB4088034675000, 0xB40892361D5000, 0xB408AC519D3000, 0xB408BE58753000, 0xB408C0346D5000, 0xB408D236175000,
-    0xB408EC51B53000, 0xB408FE585D3000, 0xB4090035467000, 0xB409123561D000, 0xB4092C19D53000, 0xB4093E87553000, 0xB409403546D000, 0xB4095235617000,
-    0xB4096C1B553000, 0xB4097E85D53000, 0xB4098035617000, 0xB409923546D000, 0xB409AC85D53000, 0xB409BE1B553000, 0xB409C03561D000, 0xB409D235467000,
-    0xB409EC87553000, 0xB409FE19D53000, 0xB40A0036175000, 0xB40A12346D5000, 0xB40A2C585D3000, 0xB40A3E51B53000, 0xB40A40361D5000, 0xB40A5234675000,
-    0xB40A6C58753000, 0xB40A7E519D3000, 0xB40A804D467000, 0xB40A924D61D000, 0xB40AAC19D4D000, 0xB40ABE8754D000, 0xB40AC04D46D000, 0xB40AD24D617000,
-    0xB40AEC1B54D000, 0xB40AFE85D4D000, 0xB40B004D617000, 0xB40B124D46D000, 0xB40B2C85D4D000, 0xB40B3E1B54D000, 0xB40B404D61D000, 0xB40B524D467000,
-    0xB40B6C8754D000, 0xB40B7E19D4D000, 0xB40B8453467000, 0xB40B965361D000, 0xB40BA819D35000, 0xB40BBA87535000, 0xB40BC45346D000, 0xB40BD653617000,
-    0xB40BE81B535000, 0xB40BFA85D35000, 0xB40C0453617000, 0xB40C165346D000, 0xB40C2885D35000, 0xB40C3A1B535000, 0xB40C445361D000, 0xB40C5653467000,
-    0xB40C6887535000, 0xB40C7A19D35000, 0xB40C802D475000, 0xB40C928D4D5000, 0xB40CAC51D4B000, 0xB40CBE53563000, 0xB40CC02D4D5000, 0xB40CD28D475000,
-    0xB40CEC5354B000, 0xB40CFE51D63000, 0xB40D002D547000, 0xB40D128D54D000, 0xB40D2C1D54B000, 0xB40D3E35563000, 0xB40D402D54D000, 0xB40D528D547000,
-    0xB40D6C3554B000, 0xB40D7E1D563000, 0xB40D8061D47000, 0xB40D924B54D000, 0xB40DAC1D58D000, 0xB40DBE3549D000, 0xB40DC061D4D000, 0xB40DD24B547000,
-    0xB40DEC3558D000, 0xB40DFE1D49D000, 0xB40E008D475000, 0xB40E122D4D5000, 0xB40E2C51D63000, 0xB40E3E5354B000, 0xB40E408D4D5000, 0xB40E522D475000,
-    0xB40E6C53563000, 0xB40E7E51D4B000, 0xB40E808D547000, 0xB40E922D54D000, 0xB40EAC1D563000, 0xB40EBE3554B000, 0xB40EC08D54D000, 0xB40ED22D547000,
-    0xB40EEC35563000, 0xB40EFE1D54B000, 0xB40F012D475000, 0xB40F118D4D5000, 0xB40F2D51D4B000, 0xB40F3D53563000, 0xB40F412D4D5000, 0xB40F518D475000,
-    0xB40F6D5354B000, 0xB40F7D51D63000, 0xB40F812D547000, 0xB40F918D54D000, 0xB40FAD1D54B000, 0xB40FBD35563000, 0xB40FC12D54D000, 0xB40FD18D547000,
-    0xB40FED3554B000, 0xB40FFD1D563000, 0xB410041D49D000, 0xB4101635587000, 0xB4102827547000, 0xB4103A61D4D000, 0xB410441D587000, 0xB410563549D000,
-    0xB4106861D47000, 0xB4107A2754D000, 0xB410841D875000, 0xB41096352D5000, 0xB410A856347000, 0xB410BA5274D000, 0xB410C43549D000, 0xB410D61D587000,
-    0xB410E82754D000, 0xB410FA61D47000, 0xB4110435587000, 0xB411161D49D000, 0xB4112861D4D000, 0xB4113A27547000, 0xB4114435875000, 0xB411561D2D5000,
-    0xB411685634D000, 0xB4117A52747000, 0xB4118452D47000, 0xB4119658D4D000, 0xB411A81D4B5000, 0xB411BA35635000, 0xB411C452D4D000, 0xB411D658D47000,
-    0xB411E8354B5000, 0xB411FA1D635000, 0xB4120458D47000, 0xB4121652D4D000, 0xB412281D635000, 0xB4123A354B5000, 0xB4124458D4D000, 0xB4125652D47000,
-    0xB4126835635000, 0xB4127A1D4B5000, 0xB4128463475000, 0xB41296274D5000, 0xB412A851D87000, 0xB412BA5352D000, 0xB412C4634D5000, 0xB412D627475000,
-    0xB412E853587000, 0xB412FA51D2D000, 0xB4130463547000, 0xB413162754D000, 0xB413281D587000, 0xB4133A3552D000, 0xB413446354D000, 0xB4135627547000,
-    0xB4136835587000, 0xB4137A1D52D000, 0xB4138552D47000, 0xB4139558D4D000, 0xB413A91D4B5000, 0xB413B935635000, 0xB413C552D4D000, 0xB413D558D47000,
-    0xB413E9354B5000, 0xB413F91D635000, 0xB414007D461000, 0xB414127D491000, 0xB4142C1857D000, 0xB4143E2457D000, 0xB414407D491000, 0xB414527D461000,
-    0xB4146C2457D000, 0xB4147E1857D000, 0xB41480F4615000, 0xB41492F4915000, 0xB414AC5185F000, 0xB414BE5245F000, 0xB414C0F4915000, 0xB414D2F4615000,
-    0xB414EC5245F000, 0xB414FE5185F000, 0xB41500F5461000, 0xB41512F5491000, 0xB4152C1855F000, 0xB4153E2455F000, 0xB41540F5491000, 0xB41552F5461000,
-    0xB4156C2455F000, 0xB4157E1855F000, 0xB415845F461000, 0xB415965F491000, 0xB415A8185F5000, 0xB415BA245F5000, 0xB415C45F491000, 0xB415D65F461000,
-    0xB415E8245F5000, 0xB415FA185F5000, 0xB416047D461000, 0xB41616F5491000, 0xB416281855F000, 0xB4163A2457D000, 0xB416447D491000, 0xB41656F5461000,
-    0xB416682455F000, 0xB4167A1857D000, 0xB41684DD461000, 0xB41696DD491000, 0xB416A818577000, 0xB416BA24577000, 0xB416C4DD491000, 0xB416D6DD461000,
-    0xB416E824577000, 0xB416FA18577000, 0xB41704F5461000, 0xB417167D491000, 0xB417281857D000, 0xB4173A2455F000, 0xB41744F5491000, 0xB417567D461000,
-    0xB417682457D000, 0xB4177A1855F000, 0xB41780349D5000, 0xB4179235875000, 0xB417AC52753000, 0xB417BE561D3000, 0xB417C03549D000, 0xB417D235587000,
-    0xB417EC27553000, 0xB417FE61D53000, 0xB4180035587000, 0xB418123549D000, 0xB4182C61D53000, 0xB4183E27553000, 0xB4184035875000, 0xB41852349D5000,
-    0xB4186C561D3000, 0xB4187E52753000, 0xB418804C9D5000, 0xB418924D875000, 0xB418AC5274D000, 0xB418BE561CD000, 0xB418C04D49D000, 0xB418D24D587000,
-    0xB418EC2754D000, 0xB418FE61D4D000, 0xB419004D587000, 0xB419124D49D000, 0xB4192C61D4D000, 0xB4193E2754D000, 0xB41940523D5000, 0xB4195253875000,
-    0xB4196C52735000, 0xB4197E560F5000, 0xB4198052735000, 0xB41992560F5000, 0xB419AC523D5000, 0xB419BE53875000, 0xB419C053875000, 0xB419D2523D5000,
-    0xB419EC560F5000, 0xB419FE52735000, 0xB41A005523D000, 0xB41A1255387000, 0xB41A2C27355000, 0xB41A3E60F55000, 0xB41A4055273000, 0xB41A525560F000,
-    0xB41A6C23D55000, 0xB41A7E38755000, 0xB41A8055387000, 0xB41A925523D000, 0xB41AAC60F55000, 0xB41ABE27355000, 0xB41AC05560F000, 0xB41AD255273000,
-    0xB41AEC38755000, 0xB41AFE23D55000, 0xB41B00560F5000, 0xB41B1252735000, 0xB41B2C53875000, 0xB41B3E523D5000, 0xB41B4060F55000, 0xB41B524B355000,
-    0xB41B6C5538D000, 0xB41B7E5523D000, 0xB41B8438D55000, 0xB41B9623D55000, 0xB41BA85560F000, 0xB41BBA554B3000, 0xB41BC45349D000, 0xB41BD653587000,
-    0xB41BE827535000, 0xB41BFA61D35000, 0xB41C0453587000, 0xB41C165349D000, 0xB41C2861D35000, 0xB41C3A27535000, 0xB41C4454C9D000, 0xB41C5654D87000,
-    0xB41C68274D5000, 0xB41C7A61CD5000, 0xB41C845523D000, 0xB41C9655387000, 0xB41CA827355000, 0xB41CBA60F55000, 0xB41CC455273000, 0xB41CD65560F000,
-    0xB41CE823D55000, 0xB41CFA38755000, 0xB41D0455387000, 0xB41D165523D000, 0xB41D2860F55000, 0xB41D3A27355000, 0xB41D445560F000, 0xB41D5655273000,
-    0xB41D6838755000, 0xB41D7A23D55000, 0xB41D84560F5000, 0xB41D9654B35000, 0xB41DA8538D5000, 0xB41DBA523D5000, 0xB41DC02155F000, 0xB41DD18157D000,
-    0xB41DEC7D548000, 0xB41DFDF5560000, 0xB41E0021577000, 0xB41E1181577000, 0xB41E2CDD548000, 0xB41E3DDD560000, 0xB41E402157D000, 0xB41E518155F000,
-    0xB41E6CF5548000, 0xB41E7D7D560000, 0xB41E80215F5000, 0xB41E91817D5000, 0xB41EAC57D48000, 0xB41EBD5F560000, 0xB41EC021775000, 0xB41ED181775000,
-    0xB41EEC5DD48000, 0xB41EFD5DD60000, 0xB41F00217D5000, 0xB41F11815F5000, 0xB41F2C5F548000, 0xB41F3D57D60000, 0xB41F404855F000, 0xB41F524857D000,
-    0xB41F6C7D461000, 0xB41F7EF5491000, 0xB41F8048577000, 0xB41F9248577000, 0xB41FACDD461000, 0xB41FBEDD491000, 0xB41FC04857D000, 0xB41FD24855F000,
-    0xB41FECF5461000, 0xB41FFE7D491000, 0xB420004B547000, 0xB4201261D4D000, 0xB4202C1D761000, 0xB4203E35671000, 0xB420404B54D000, 0xB4205261D47000,
-    0xB4206C35761000, 0xB4207E1D671000, 0xB420841855F000, 0xB420962457D000, 0xB420A87D521000, 0xB420BAF5521000, 0xB420C418577000, 0xB420D624577000,
-    0xB420E8DD521000, 0xB420FADD521000, 0xB421041857D000, 0xB421162455F000, 0xB42128F5521000, 0xB4213A7D521000, 0xB42144185F5000, 0xB42156247D5000,
-    0xB4216857D21000, 0xB4217A5F521000, 0xB4218418775000, 0xB4219624775000, 0xB421A85DD21000, 0xB421BA5DD21000, 0xB421C4187D5000, 0xB421D6245F5000,
-    0xB421E85F521000, 0xB421FA57D21000, 0xB422041D2D5000, 0xB4221635875000, 0xB422285D847000, 0xB4223A59C4D000, 0xB42244352D5000, 0xB422561D875000,
-    0xB422685D84D000, 0xB4227A59C47000, 0xB422845215F000, 0xB422955817D000, 0xB422A87D485000, 0xB422B9F5605000, 0xB422C452177000, 0xB422D558177000,
-    0xB422E8DD485000, 0xB422F9DD605000, 0xB423045217D000, 0xB423155815F000, 0xB42328F5485000, 0xB423397D605000, 0xB423447D215000, 0xB42356F5215000,
-    0xB423685185F000, 0xB4237A5247D000, 0xB42384D8475000, 0xB423969C4D5000, 0xB423A851D2D000, 0xB423BA53587000, 0xB423C4D84D5000, 0xB423D69C475000,
-    0xB423E85352D000, 0xB423FA51D87000, 0xB42404D8547000, 0xB424169C54D000, 0xB424281D52D000, 0xB4243A35587000, 0xB42444D854D000, 0xB424569C547000,
-    0xB424683552D000, 0xB4247A1D587000, 0xB42484DD215000, 0xB42496DD215000, 0xB424A851877000, 0xB424BA52477000, 0xB424C4F5215000, 0xB424D67D215000,
-    0xB424E85187D000, 0xB424FA5245F000, 0xB5000000569000, 0xB5004000599000, 0xB5008000995000, 0xB500A9550A0000, 0xB500C504295000, 0xB500E905429000,
-    0xB5010021461000, 0xB5011181491000, 0xB5012C18548000, 0xB5013D24560000, 0xB5014021491000, 0xB5015181461000, 0xB5016C24548000, 0xB5017D18560000,
-    0xB5018418461000, 0xB5019624491000, 0xB501A818521000, 0xB501BA24521000, 0xB501C418491000, 0xB501D624461000, 0xB501E824521000, 0xB501FA18521000,
-    0xB6000003569000, 0xB6001004DA5000, 0xB6004004697000, 0xB6008002675000, 0xB60090035A5000, 0xB600A4550A3000, 0xB600B655283000, 0xB600C002975000,
-    0xB600E9553A0000, 0xB6010004799000, 0xB6011204D99000, 0xB6012885847000, 0xB6013A1A44D000, 0xB601400499D000, 0xB6015204667000, 0xB6016828355000,
-    0xB6017A0A355000, 0xB6018003995000, 0xB601A9550A3000, 0xB601C004997000, 0xB601D2054E9000, 0xB601E8A04D5000, 0xB601FA0A4D5000, 0xB6020504E95000,
-    0xB6021507295000, 0xB60229054A7000, 0xB60239054AD000, 0xB60240047A5000, 0xB6025204D69000, 0xB60268A0547000, 0xB6027A0A54D000, 0xB6028504A75000,
-    0xB6029504AD5000, 0xB602A9054E9000, 0xB602B905729000, 0xB602C003599000, 0xB602D10C599000, 0xB602E88584D000, 0xB602FA1A447000, 0xB6030506947000,
-    0xB603150694D000, 0xB603291D429000, 0xB6033935429000, 0xB603441B461000, 0xB6035687491000, 0xB6036818527000, 0xB6037A2458D000, 0xB603841B491000,
-    0xB6039687461000, 0xB603A824527000, 0xB603BA1858D000, 0xB603C021467000, 0xB603D18161D000, 0xB603EC19D48000, 0xB603FD87560000, 0xB604002146D000,
-    0xB6041181617000, 0xB6042C1B548000, 0xB6043D85D60000, 0xB6044021617000, 0xB604518146D000, 0xB6046C85D48000, 0xB6047D1B560000, 0xB604802161D000,
-    0xB6049181467000, 0xB604AC87548000, 0xB604BD19D60000, 0xB604C418467000, 0xB604D62461D000, 0xB604E819D21000, 0xB604FA87521000, 0xB605041846D000,
-    0xB6051624617000, 0xB605281B521000, 0xB6053A85D21000, 0xB6054418617000, 0xB605562446D000, 0xB6056885D21000, 0xB6057A1B521000, 0xB605841861D000,
-    0xB6059624467000, 0xB605A887521000, 0xB605BA19D21000, 0xB605C02D461000, 0xB605D28D491000, 0xB605EC1854B000, 0xB605FE24563000, 0xB606002D491000,
-    0xB606128D461000, 0xB6062C2454B000, 0xB6063E18563000, 0xB606408D461000, 0xB606522D491000, 0xB6066C18563000, 0xB6067E2454B000, 0xB606808D491000,
-    0xB606922D461000, 0xB606AC24563000, 0xB606BE1854B000, 0xB606C12D461000, 0xB606D18D491000, 0xB606ED1854B000, 0xB606FD24563000, 0xB607012D491000,
-    0xB607118D461000, 0xB6072D2454B000, 0xB6073D18563000, 0xB6074463461000, 0xB6075627491000, 0xB6076818587000, 0xB6077A2452D000, 0xB6078463491000,
-    0xB6079627461000, 0xB607A824587000, 0xB607BA1852D000, 0xB607C052235000, 0xB607D252235000, 0xB607EC52235000, 0xB607FE52235000, 0xB6080055223000,
-    0xB6081255223000, 0xB6082C22355000, 0xB6083E22355000, 0xB6084455223000, 0xB6085655223000, 0xB6086822355000, 0xB6087A22355000, 0xB608802149D000,
-    0xB6089181587000, 0xB608AC27548000, 0xB608BD61D60000, 0xB608C021587000, 0xB608D18149D000, 0xB608EC61D48000, 0xB608FD27560000, 0xB609041849D000,
-    0xB6091624587000, 0xB6092827521000, 0xB6093A61D21000, 0xB6094418587000, 0xB609562449D000, 0xB6096861D21000, 0xB6097A27521000, 0xB609841D609000,
-    0xB6099635609000, 0xB609A882547000, 0xB609BA8254D000, 0xB609C435609000, 0xB609D61D609000, 0xB609E88254D000, 0xB609FA82547000, 0xB60A04D8461000,
-    0xB60A169C491000, 0xB60A281852D000, 0xB60A3A24587000, 0xB60A44D8491000, 0xB60A569C461000, 0xB60A682452D000, 0xB60A7A18587000, 0xB60A8035609000,
-    0xB60A9235609000, 0xB60AAC82553000, 0xB60ABE82553000, 0xB60AC036095000, 0xB60AD236095000, 0xB60AEC58253000, 0xB60AFE58253000, 0xB60B00488D5000,
-    0xB60B1248875000, 0xB60B2C52721000, 0xB60B3E560B1000, 0xB60B404D609000, 0xB60B524D609000, 0xB60B6C8254D000, 0xB60B7E8254D000, 0xB60B8453609000,
-    0xB60B9653609000, 0xB60BA882535000, 0xB60BBA82535000, 0xB60BC45488D000, 0xB60BD654887000, 0xB60BE827215000, 0xB60BFA60B15000, 0xB70000055AF000,
-    0xB70010069F5000, 0xB70040056F9000, 0xB70052056F9000, 0xB700800A55F000, 0xB700900F5A5000, 0xB700A4550AF000, 0xB700B6552B3000, 0xB700C005B67000,
-    0xB700D206D9D000, 0xB700E454DA3000, 0xB700F654E93000, 0xB7010005A77000, 0xB7011206977000, 0xB70124DD429000, 0xB70136DD681000, 0xB7014050A77000,
-    0xB701525263D000, 0xB7016434D69000, 0xB701761CDA5000, 0xB7018022775000, 0xB701A955FA0000, 0xB701C050B67000, 0xB701D25239D000, 0xB702000B675000,
-    0xB70211C89D5000, 0xB70228553A3000, 0xB7023A553A3000, 0xB702400A775000, 0xB70251827D5000, 0xB702685DDA0000, 0xB7027A5DDA0000, 0xB7028007D99000,
-    0xB7029205F99000, 0xB702A8247B5000, 0xB702B8E7485000, 0xB702C005E9D000, 0xB702D206D67000, 0xB702EC06D6D000, 0xB702FE05E9D000, 0xB7030452277000,
-    0xB703255FA05000, 0xB7034005F99000, 0xB7035207D99000, 0xB703688585F000, 0xB7037A1A47D000, 0xB7038050B6D000, 0xB703925368D000, 0xB703A8076B5000,
-    0xB703BA067B5000, 0xB703C00E975000, 0xB703D10E9D5000, 0xB703E955CA3000, 0xB703F9553A3000, 0xB7040434E95000, 0xB7041584BD5000, 0xB70424548E7000,
-    0xB7043654A3D000, 0xB704400569F000, 0xB70452055AF000, 0xB704682B355000, 0xB7047A0AF55000, 0xB70480056BD000, 0xB70492057E9000, 0xB704A8A07D5000,
-    0xB704BA0A7D5000, 0xB704C048E75000, 0xB704D24A3D5000, 0xB704E8534E9000, 0xB704F9584BD000, 0xB7050005FA5000, 0xB7051207D69000, 0xB70528A055F000,
-    0xB7053A0A57D000, 0xB7054506ED5000, 0xB7055507A75000, 0xB70569057A7000, 0xB70579056ED000, 0xB7058005E97000, 0xB7059206D6D000, 0xB705AC0676D000,
-    0xB705BE0769D000, 0xB705C00E9D5000, 0xB705D10E975000, 0xB705EC5874B000, 0xB705FD0567B000, 0xB7060434A75000, 0xB706161CAD5000, 0xB7062454CE9000,
-    0xB7063654E8D000, 0xB70640227D5000, 0xB7066C58763000, 0xB7068506E75000, 0xB7069507AD5000, 0xB706A9056E7000, 0xB706B9057AD000, 0xB706C45227D000,
-    0xB706E887635000, 0xB707004CE95000, 0xB707124E8D5000, 0xB70728534A7000, 0xB7073A51CAD000, 0xB707400566F000, 0xB707520566F000, 0xB707688F615000,
-    0xB7077A3E915000, 0xB707800A577000, 0xB707920A577000, 0xB707A8DD5A0000, 0xB707BADD5A0000, 0xB707C00B6D5000, 0xB707D20E975000, 0xB707EC0576B000,
-    0xB707FE0567B000, 0xB708000F995000, 0xB70810239D5000, 0xB7082C5247B000, 0xB7083C5E748000, 0xB708400F599000, 0xB70851CC599000, 0xB708688587D000,
-    0xB7087A1A45F000, 0xB7088005B6D000, 0xB7089207997000, 0xB708AC0766D000, 0xB708BE0679D000, 0xB708C007799000, 0xB708D207799000, 0xB708EC1A74D000,
-    0xB708FE1867D000, 0xB709000665F000, 0xB709120667D000, 0xB7092C1E761000, 0xB7093E1879D000, 0xB709451CE95000, 0xB7095537295000, 0xB709690569F000,
-    0xB70979056BD000, 0xB7098006F95000, 0xB7099206F95000, 0xB709AC524ED000, 0xB709BE51A3D000, 0xB709C5069F5000, 0xB709D506BD5000, 0xB709E951CE9000,
-    0xB709F953729000, 0xB70A0506B75000, 0xB70A29057E9000, 0xB70A4507E95000, 0xB70A69056B7000, 0xB70A8006677000, 0xB70A9206677000, 0xB70AAC36761000,
-    0xB70ABE19C9D000, 0xB70AC006977000, 0xB70AD205A77000, 0xB70AEC368D5000, 0xB70AFE0B6D5000, 0xB70B0007997000, 0xB70B1205B6D000, 0xB70B2C263D5000,
-    0xB70B3E0A775000, 0xB70B4454A37000, 0xB70B56548ED000, 0xB70B68836D5000, 0xB70B7A0E9D5000, 0xB70B810A577000, 0xB70BAD0775A000, 0xB70BC006D9D000,
-    0xB70BD205E67000, 0xB70BEC36935000, 0xB70BFE0B675000, 0xB70C000799D000, 0xB70C1205B67000, 0xB70C2C239D5000, 0xB70C3E0E675000, 0xB70C4029D47000,
-    0xB70C522B54D000, 0xB70C6C1D47A000, 0xB70C7E354DA000, 0xB70C8029D4D000, 0xB70C922B547000, 0xB70CAC3547A000, 0xB70CBE1D4DA000, 0xB70CC03A547000,
-    0xB70CD23A54D000, 0xB70CEC1D46B000, 0xB70CFE3549B000, 0xB70D003A54D000, 0xB70D123A547000, 0xB70D2C3546B000, 0xB70D3E1D49B000, 0xB70D4129D47000,
-    0xB70D512B54D000, 0xB70D6D1D47A000, 0xB70D7D354DA000, 0xB70D8129D4D000, 0xB70D912B547000, 0xB70DAD3547A000, 0xB70DBD1D4DA000, 0xB70DC41AD47000,
-    0xB70DD626D4D000, 0xB70DE81D4E9000, 0xB70DFA354E9000, 0xB70E041AD4D000, 0xB70E1626D47000, 0xB70E28354E9000, 0xB70E3A1D4E9000, 0xB70E441D267000,
-    0xB70E563529D000, 0xB70E681DA47000, 0xB70E7A3694D000, 0xB70E841D369000, 0xB70E96353A5000, 0xB70EA819B47000, 0xB70EBA2674D000, 0xB70EC41E947000,
-    0xB70ED63694D000, 0xB70EE81D4A7000, 0xB70EFA354AD000, 0xB70F041E94D000, 0xB70F1636947000, 0xB70F28354A7000, 0xB70F3A1D4AD000, 0xB70F4435267000,
-    0xB70F561D29D000, 0xB70F681DA4D000, 0xB70F7A36947000, 0xB70F8435369000, 0xB70F961D3A5000, 0xB70FA819B4D000, 0xB70FBA26747000, 0xB70FC4362D5000,
-    0xB70FD61CA75000, 0xB70FE85362D000, 0xB70FFA51CA7000, 0xB710051E947000, 0xB710153694D000, 0xB710291D4A7000, 0xB71039354AD000, 0xB710451E94D000,
-    0xB7105536947000, 0xB71069354A7000, 0xB710791D4AD000, 0xB710800679D000, 0xB7109207667000, 0xB710AC3694D000, 0xB710BE1DA4D000, 0xB710C0077A5000,
-    0xB710D207769000, 0xB710EC2674D000, 0xB710FE199CD000, 0xB7110034697000, 0xB711123469D000, 0xB7112C1E653000, 0xB7113E36653000, 0xB711403469D000,
-    0xB7115234697000, 0xB7116C36653000, 0xB7117E1E653000, 0xB7118034799000, 0xB7119234D99000, 0xB711AC1A5D3000, 0xB711BE1A753000, 0xB711C034D99000,
-    0xB711D234799000, 0xB711EC1A753000, 0xB711FE1A5D3000, 0xB71204D82D5000, 0xB7121584B75000, 0xB712285D82D000, 0xB71239584B7000, 0xB7124034667000,
-    0xB712523499D000, 0xB7126C1DA53000, 0xB7127E36953000, 0xB7128034769000, 0xB7129234DA5000, 0xB712AC199D3000, 0xB712BE26753000, 0xB712C03499D000,
-    0xB712D234667000, 0xB712EC36953000, 0xB712FE1DA53000, 0xB7130034DA5000, 0xB7131234769000, 0xB7132C26753000, 0xB7133E199D3000, 0xB713408B547000,
-    0xB7135229D4D000, 0xB7136C1D4DA000, 0xB7137E3547A000, 0xB713808B54D000, 0xB7139229D47000, 0xB713AC354DA000, 0xB713BE1D47A000, 0xB713C41B467000,
-    0xB713D68761D000, 0xB713E819D27000, 0xB713FA8758D000, 0xB714041B46D000, 0xB7141687617000, 0xB714281B527000, 0xB7143A85D8D000, 0xB714441B617000,
-    0xB714568746D000, 0xB7146885D27000, 0xB7147A1B58D000, 0xB714841B61D000, 0xB7149687467000, 0xB714A887527000, 0xB714BA19D8D000, 0xB714C41D399000,
-    0xB714D635399000, 0xB714E885B47000, 0xB714FA1A74D000, 0xB715041D86D000, 0xB7151635297000, 0xB7152835A47000, 0xB7153A1E94D000, 0xB7154435399000,
-    0xB715561D399000, 0xB7156885B4D000, 0xB7157A1A747000, 0xB715843586D000, 0xB715961D297000, 0xB715A835A4D000, 0xB715BA1E947000, 0xB715C436947000,
-    0xB715D61E94D000, 0xB715E81D62D000, 0xB715FA354A7000, 0xB716043694D000, 0xB716161E947000, 0xB716283562D000, 0xB7163A1D4A7000, 0xB716400667D000,
-    0xB716520665F000, 0xB7166C36D61000, 0xB7167E1DE91000, 0xB7168434D99000, 0xB716961CD99000, 0xB716A885877000, 0xB716BA1A477000, 0xB716C434DA5000,
-    0xB716D61CD69000, 0xB716E8A0577000, 0xB716FA0A577000, 0xB717010F995000, 0xB7172D0566F000, 0xB717413A547000, 0xB71751CA54D000, 0xB7176D1D46B000,
-    0xB7177D3561B000, 0xB717813A54D000, 0xB71791CA547000, 0xB717AD3546B000, 0xB717BD1D61B000, 0xB717C51AD47000, 0xB717D586D4D000, 0xB717E91D4E9000,
-    0xB717F935729000, 0xB718051AD4D000, 0xB7181586D47000, 0xB71829354E9000, 0xB718391D729000, 0xB718402D467000, 0xB718528D61D000, 0xB7186C19D4B000,
-    0xB7187E87563000, 0xB718802D46D000, 0xB718928D617000, 0xB718AC1B54B000, 0xB718BE85D63000, 0xB718C02D617000, 0xB718D28D46D000, 0xB718EC85D4B000,
-    0xB718FE1B563000, 0xB719002D61D000, 0xB719128D467000, 0xB7192C8754B000, 0xB7193E19D63000, 0xB71940347A5000, 0xB7195234D69000, 0xB7196C265D3000,
-    0xB7197E61B53000, 0xB7198034997000, 0xB719923586D000, 0xB719AC1E953000, 0xB719BE35A53000, 0xB719C034D69000, 0xB719D2347A5000, 0xB719EC61B53000,
-    0xB719FE265D3000, 0xB71A003586D000, 0xB71A1234997000, 0xB71A2C35A53000, 0xB71A3E1E953000, 0xB71A404C997000, 0xB71A524D86D000, 0xB71A6C1E94D000,
-    0xB71A7E35A4D000, 0xB71A8051E93000, 0xB71A92535A3000, 0xB71AAC23975000, 0xB71ABE386D5000, 0xB71AC052397000, 0xB71AD25386D000, 0xB71AEC1E935000,
-    0xB71AFE35A35000, 0xB71B0052E35000, 0xB71B1252E35000, 0xB71B2C52E35000, 0xB71B3E52E35000, 0xB71B40535A3000, 0xB71B5251E93000, 0xB71B6C386D5000,
-    0xB71B7E23975000, 0xB71B805386D000, 0xB71B9252397000, 0xB71BAC35A35000, 0xB71BBE1E935000, 0xB71BC0552E3000, 0xB71BD2552E3000, 0xB71BEC2E355000,
-    0xB71BFE2E355000, 0xB71C008D467000, 0xB71C122D61D000, 0xB71C2C19D63000, 0xB71C3E8754B000, 0xB71C408D46D000, 0xB71C522D617000, 0xB71C6C1B563000,
-    0xB71C7E85D4B000, 0xB71C808D617000, 0xB71C922D46D000, 0xB71CAC85D63000, 0xB71CBE1B54B000, 0xB71CC08D61D000, 0xB71CD22D467000, 0xB71CEC87563000,
-    0xB71CFE19D4B000, 0xB71D012D467000, 0xB71D118D61D000, 0xB71D2D19D4B000, 0xB71D3D87563000, 0xB71D412D46D000, 0xB71D518D617000, 0xB71D6D1B54B000,
-    0xB71D7D85D63000, 0xB71D812D617000, 0xB71D918D46D000, 0xB71DAD85D4B000, 0xB71DBD1B563000, 0xB71DC12D61D000, 0xB71DD18D467000, 0xB71DED8754B000,
-    0xB71DFD19D63000, 0xB71E04552E3000, 0xB71E16552E3000, 0xB71E282E355000, 0xB71E3A2E355000, 0xB71E4463467000, 0xB71E562761D000, 0xB71E6819D87000,
-    0xB71E7A8752D000, 0xB71E846346D000, 0xB71E9627617000, 0xB71EA81B587000, 0xB71EBA85D2D000, 0xB71EC463617000, 0xB71ED62746D000, 0xB71EE885D87000,
-    0xB71EFA1B52D000, 0xB71F046361D000, 0xB71F1627467000, 0xB71F2887587000, 0xB71F3A19D2D000, 0xB71F450695F000, 0xB71F550697D000, 0xB71F697D429000,
-    0xB71F79F5429000, 0xB71F8550F99000, 0xB71FA9066F5000, 0xB71FC1FA055000, 0xB71FE9550AF000, 0xB7200007697000, 0xB720120676D000, 0xB7202C85F61000,
-    0xB7203E1B671000, 0xB720400769D000, 0xB7205206767000, 0xB7206C87761000, 0xB7207E19E71000, 0xB72080486D7000, 0xB72092485ED000, 0xB720AC1ED61000,
-    0xB720BE35E91000, 0xB720C068D47000, 0xB720D268D4D000, 0xB720EC1D4E9000, 0xB720FE3568D000, 0xB7210068D4D000, 0xB7211268D47000, 0xB7212C354E9000,
-    0xB7213E1D68D000, 0xB721410B9D5000, 0xB721510E675000, 0xB7216D52763000, 0xB7217D561CB000, 0xB721810F695000, 0xB721910FA55000, 0xB721AD5618F000,
-    0xB721BD5264F000, 0xB721C41B49D000, 0xB721D687587000, 0xB721E827527000, 0xB721FA61D8D000, 0xB722041B587000, 0xB722168749D000, 0xB7222861D27000,
-    0xB7223A2758D000, 0xB722441D3A5000, 0xB7225635369000, 0xB72268A5347000, 0xB7227A6934D000, 0xB722841D4E9000, 0xB722963568D000, 0xB722A868D47000,
-    0xB722BAA4D4D000, 0xB722C41D5A3000, 0xB722D635693000, 0xB722E83A547000, 0xB722FAA354D000, 0xB723041D639000, 0xB7231635639000, 0xB7232898D47000,
-    0xB7233A98D4D000, 0xB723441D663000, 0xB7235635663000, 0xB723688E547000, 0xB7237A8E54D000, 0xB723841D68D000, 0xB72396354E9000, 0xB723A8A4D47000,
-    0xB723BA68D4D000, 0xB723C41D693000, 0xB723D6355A3000, 0xB723E8A3547000, 0xB723FA3A54D000, 0xB724041DA35000, 0xB7241635A35000, 0xB7242853A47000,
-    0xB7243A5A34D000, 0xB72444353A5000, 0xB724561D369000, 0xB72468A534D000, 0xB7247A69347000, 0xB72484354E9000, 0xB724961D68D000, 0xB724A868D4D000,
-    0xB724BAA4D47000, 0xB724C4355A3000, 0xB724D61D693000, 0xB724E83A54D000, 0xB724FAA3547000, 0xB7250435639000, 0xB725161D639000, 0xB7252898D4D000,
-    0xB7253A98D47000, 0xB7254435663000, 0xB725561D663000, 0xB725688E54D000, 0xB7257A8E547000, 0xB725843568D000, 0xB725961D4E9000, 0xB725A8A4D4D000,
-    0xB725BA68D47000, 0xB725C435693000, 0xB725D61D5A3000, 0xB725E8A354D000, 0xB725FA3A547000, 0xB7260435A35000, 0xB726161DA35000, 0xB7262853A4D000,
-    0xB7263A5A347000, 0xB726443A475000, 0xB72656A34D5000, 0xB7266851DA3000, 0xB7267A535A3000, 0xB726843A4D5000, 0xB72696A3475000, 0xB726A8535A3000,
-    0xB726BA51DA3000, 0xB726C43A547000, 0xB726D6A354D000, 0xB726E81D5A3000, 0xB726FA355A3000, 0xB727043A54D000, 0xB72716A3547000, 0xB72728355A3000,
-    0xB7273A1D5A3000, 0xB7274550B9D000, 0xB7275550E67000, 0xB7276927635000, 0xB7277961CB5000, 0xB7278550F69000, 0xB7279550FA5000, 0xB727A9618F5000,
-    0xB727B9264F5000, 0xB727C0066F5000, 0xB727D2066F5000, 0xB727EC58F61000, 0xB727FE53E91000, 0xB728004879D000, 0xB72812485B7000, 0xB7282C27761000,
-    0xB7283E61E71000, 0xB7284051B8D000, 0xB72852524B7000, 0xB7286C272D5000, 0xB7287E62375000, 0xB72880524B7000, 0xB7289251B8D000, 0xB728AC62375000,
-    0xB728BE272D5000, 0xB728C05272D000, 0xB728D256237000, 0xB728EC1B8D5000, 0xB728FE24B75000, 0xB7290056237000, 0xB729125272D000, 0xB7292C24B75000,
-    0xB7293E1B8D5000, 0xB7294062375000, 0xB729524B2D5000, 0xB7296C524BD000, 0xB7297E51B8D000, 0xB72980BD461000, 0xB72992ED491000, 0xB729AC1856F000,
-    0xB729BE2457B000, 0xB729C0BD491000, 0xB729D2ED461000, 0xB729EC2456F000, 0xB729FE1857B000, 0xB72A00ED461000, 0xB72A12BD491000, 0xB72A2C1857B000,
-    0xB72A3E2456F000, 0xB72A40ED491000, 0xB72A52BD461000, 0xB72A6C2457B000, 0xB72A7E1856F000, 0xB72A81BD461000, 0xB72A91ED491000, 0xB72AAD1856F000,
-    0xB72ABD2457B000, 0xB72AC1BD491000, 0xB72AD1ED461000, 0xB72AED2456F000, 0xB72AFD1857B000, 0xB72B0456237000, 0xB72B1654B2D000, 0xB72B2824BD5000,
-    0xB72B3A1B8D5000, 0xB72B446F461000, 0xB72B56E7491000, 0xB72B68185B7000, 0xB72B7A245ED000, 0xB72B846F491000, 0xB72B96E7461000, 0xB72BA8245B7000,
-    0xB72BBA185ED000, 0xB72BC47B461000, 0xB72BD6B7491000, 0xB72BE8185E7000, 0xB72BFA245BD000, 0xB72C047B491000, 0xB72C16B7461000, 0xB72C28245E7000,
-    0xB72C3A185BD000, 0xB72C44DB461000, 0xB72C569F491000, 0xB72C68185ED000, 0xB72C7A245B7000, 0xB72C84DB491000, 0xB72C969F461000, 0xB72CA8245ED000,
-    0xB72CBA185B7000, 0xB72CC506977000, 0xB72CE9DD429000, 0xB72D0007667000, 0xB72D120679D000, 0xB72D2C61F61000, 0xB72D3E27671000, 0xB72D402C9D5000,
-    0xB72D528D875000, 0xB72D6C5274B000, 0xB72D7E561E3000, 0xB72D802D49D000, 0xB72D928D587000, 0xB72DAC2754B000, 0xB72DBE61D63000, 0xB72DC02D587000,
-    0xB72DD28D49D000, 0xB72DEC61D4B000, 0xB72DFE27563000, 0xB72E0034E95000, 0xB72E12368D5000, 0xB72E2C568D3000, 0xB72E3E5A4D3000, 0xB72E40354E9000,
-    0xB72E523568D000, 0xB72E6C68D53000, 0xB72E7EA4D53000, 0xB72E80355A3000, 0xB72E9235693000, 0xB72EAC3A553000, 0xB72EBEA3553000, 0xB72EC035639000,
-    0xB72ED235639000, 0xB72EEC98D53000, 0xB72EFE98D53000, 0xB72F0035663000, 0xB72F1235663000, 0xB72F2C8E553000, 0xB72F3E8E553000, 0xB72F403568D000,
-    0xB72F52354E9000, 0xB72F6CA4D53000, 0xB72F7E68D53000, 0xB72F8035693000, 0xB72F92355A3000, 0xB72FACA3553000, 0xB72FBE3A553000, 0xB72FC035A35000,
-    0xB72FD236935000, 0xB72FEC53A53000, 0xB72FFE5A353000, 0xB7300036395000, 0xB7301236395000, 0xB7302C598D3000, 0xB7303E598D3000, 0xB7304036635000,
-    0xB7305236635000, 0xB7306C58E53000, 0xB7307E58E53000, 0xB73080368D5000, 0xB7309234E95000, 0xB730AC5A4D3000, 0xB730BE568D3000, 0xB730C036935000,
-    0xB730D235A35000, 0xB730EC5A353000, 0xB730FE53A53000, 0xB7310048BD5000, 0xB7311263875000, 0xB7312C5272D000, 0xB7313E5623D000, 0xB731404D4E9000,
-    0xB731524D68D000, 0xB7316C68D4D000, 0xB7317EA4D4D000, 0xB731804D5A3000, 0xB731924D693000, 0xB731AC3A54D000, 0xB731BEA354D000, 0xB731C04D639000,
-    0xB731D24D639000, 0xB731EC98D4D000, 0xB731FE98D4D000, 0xB732004D663000, 0xB732124D663000, 0xB7322C8E54D000, 0xB7323E8E54D000, 0xB732404D68D000,
-    0xB732524D4E9000, 0xB7326CA4D4D000, 0xB7327E68D4D000, 0xB732804D693000, 0xB732924D5A3000, 0xB732ACA354D000, 0xB732BE3A54D000, 0xB732C04E935000,
-    0xB732D24DA35000, 0xB732EC5A34D000, 0xB732FE53A4D000, 0xB73300522F5000, 0xB73312588F5000, 0xB7332C522F5000, 0xB7333E588F5000, 0xB7334052787000,
-    0xB73352560BD000, 0xB7336C60BD5000, 0xB7337E27875000, 0xB73380528F5000, 0xB73392528F5000, 0xB733AC528F5000, 0xB733BE528F5000, 0xB733C05522F000,
-    0xB733D25588F000, 0xB733EC22F55000, 0xB733FE88F55000, 0xB734005528F000, 0xB734125528F000, 0xB7342C28F55000, 0xB7343E28F55000, 0xB734405588F000,
-    0xB734525522F000, 0xB7346C88F55000, 0xB7347E22F55000, 0xB73480560BD000, 0xB7349252787000, 0xB734AC27875000, 0xB734BE60BD5000, 0xB734C0588F5000,
-    0xB734D2522F5000, 0xB734EC588F5000, 0xB734FE522F5000, 0xB7350060BD5000, 0xB735124B875000, 0xB7352C5278D000, 0xB7353E560BD000, 0xB7354061C9D000,
-    0xB735524B587000, 0xB7356C2758D000, 0xB7357E61C9D000, 0xB735808C9D5000, 0xB735922D875000, 0xB735AC52763000, 0xB735BE561CB000, 0xB735C08D49D000,
-    0xB735D22D587000, 0xB735EC27563000, 0xB735FE61D4B000, 0xB736008D587000, 0xB736122D49D000, 0xB7362C61D63000, 0xB7363E2754B000, 0xB736410F569000,
-    0xB736510F5A5000, 0xB7366D6950F000, 0xB7367DA550F000, 0xB736812D49D000, 0xB736918D587000, 0xB736AD2754B000, 0xB736BD61D63000, 0xB736C12D587000,
-    0xB736D18D49D000, 0xB736ED61D4B000, 0xB736FD27563000, 0xB7370452C9D000, 0xB7371658D87000, 0xB73728274B5000, 0xB7373A61E35000, 0xB73744534E9000,
-    0xB737565368D000, 0xB7376868D35000, 0xB7377AA4D35000, 0xB73784535A3000, 0xB7379653693000, 0xB737A83A535000, 0xB737BAA3535000, 0xB737C453639000,
-    0xB737D653639000, 0xB737E898D35000, 0xB737FA98D35000, 0xB7380453663000, 0xB7381653663000, 0xB738288E535000, 0xB7383A8E535000, 0xB738445368D000,
-    0xB73856534E9000, 0xB73868A4D35000, 0xB7387A68D35000, 0xB7388453693000, 0xB73896535A3000, 0xB738A8A3535000, 0xB738BA3A535000, 0xB738C4548BD000,
-    0xB738D656387000, 0xB738E8272D5000, 0xB738FA623D5000, 0xB7390454E93000, 0xB7391654DA3000, 0xB73928A34D5000, 0xB7393A3A4D5000, 0xB739445522F000,
-    0xB739565588F000, 0xB7396822F55000, 0xB7397A88F55000, 0xB739845528F000, 0xB739965528F000, 0xB739A828F55000, 0xB739BA28F55000, 0xB739C45588F000,
-    0xB739D65522F000, 0xB739E888F55000, 0xB739FA22F55000, 0xB73A04560BD000, 0xB73A1654B87000, 0xB73A28278D5000, 0xB73A3A60BD5000, 0xB73A4458C9D000,
-    0xB73A5652D87000, 0xB73A6827635000, 0xB73A7A61CB5000, 0xB73A846349D000, 0xB73A9627587000, 0xB73AA827587000, 0xB73ABA61D2D000, 0xB73AC463587000,
-    0xB73AD62749D000, 0xB73AE861D87000, 0xB73AFA2752D000, 0xB73B04D8467000, 0xB73B169C61D000, 0xB73B2819D2D000, 0xB73B3A87587000, 0xB73B44D846D000,
-    0xB73B569C617000, 0xB73B681B52D000, 0xB73B7A85D87000, 0xB73B84D8617000, 0xB73B969C46D000, 0xB73BA885D2D000, 0xB73BBA1B587000, 0xB73BC4D861D000,
-    0xB73BD69C467000, 0xB73BE88752D000, 0xB73BFA19D87000, 0xB73C00215B7000, 0xB73C118179D000, 0xB73C2C6DD48000, 0xB73C3DE7560000, 0xB73C40215E7000,
-    0xB73C51816DD000, 0xB73C6C79D48000, 0xB73C7DB7560000, 0xB73C80215ED000, 0xB73C91816D7000, 0xB73CACD9D48000, 0xB73CBD9F560000, 0xB73CC021677000,
-    0xB73CD18176D000, 0xB73CEC9DD48000, 0xB73CFDDB560000, 0xB73D002167D000, 0xB73D1181767000, 0xB73D2CB5D48000, 0xB73D3D7B560000, 0xB73D40216D7000,
-    0xB73D51815ED000, 0xB73D6C9F548000, 0xB73D7DD9D60000, 0xB73D80216DD000, 0xB73D91815E7000, 0xB73DACB7548000, 0xB73DBD79D60000, 0xB73DC021767000,
-    0xB73DD18167D000, 0xB73DEC7B548000, 0xB73DFDB5D60000, 0xB73E002176D000, 0xB73E1181677000, 0xB73E2CDB548000, 0xB73E3D9DD60000, 0xB73E402179D000,
-    0xB73E51815B7000, 0xB73E6CE7548000, 0xB73E7D6DD60000, 0xB73E84185B7000, 0xB73E962479D000, 0xB73EA86DD21000, 0xB73EBAE7521000, 0xB73EC4185E7000,
-    0xB73ED6246DD000, 0xB73EE879D21000, 0xB73EFAB7521000, 0xB73F04185ED000, 0xB73F16246D7000, 0xB73F28D9D21000, 0xB73F3A9F521000, 0xB73F4418677000,
-    0xB73F562476D000, 0xB73F689DD21000, 0xB73F7ADB521000, 0xB73F841867D000, 0xB73F9624767000, 0xB73FA8B5D21000, 0xB73FBA7B521000, 0xB73FC4186D7000,
-    0xB73FD6245ED000, 0xB73FE89F521000, 0xB73FFAD9D21000, 0xB74004186DD000, 0xB74016245E7000, 0xB74028B7521000, 0xB7403A79D21000, 0xB7404418767000,
-    0xB740562467D000, 0xB740687B521000, 0xB7407AB5D21000, 0xB740841876D000, 0xB7409624677000, 0xB740A8DB521000, 0xB740BA9DD21000, 0xB740C41879D000,
-    0xB740D6245B7000, 0xB740E8E7521000, 0xB740FA6DD21000, 0xB741041D297000, 0xB741163586D000, 0xB741289D847000, 0xB7413ADA44D000, 0xB741441D29D000,
-    0xB7415635867000, 0xB74168B5847000, 0xB7417A7A44D000, 0xB7418435297000, 0xB741961D86D000, 0xB741A89D84D000, 0xB741BADA447000, 0xB741C43529D000,
-    0xB741D61D867000, 0xB741E8B584D000, 0xB741FA7A447000, 0xB742010F599000, 0xB7422D9950F000, 0xB742404B8D5000, 0xB7425248B75000, 0xB7426C5E721000,
-    0xB7427E56CB1000, 0xB742807D609000, 0xB742927D609000, 0xB742AC8257D000, 0xB742BE8257D000, 0xB742C0F5609000, 0xB742D2F5609000, 0xB742EC8255F000,
-    0xB742FE8255F000, 0xB74300F6095000, 0xB74312F6095000, 0xB7432C5825F000, 0xB7433E5825F000, 0xB7434454B8D000, 0xB74356548B7000, 0xB74368E7215000,
-    0xB7437A6CB15000, 0xB743845F609000, 0xB743965F609000, 0xB743A8825F5000, 0xB743BA825F5000, 0xB743C47D609000, 0xB743D6F5609000, 0xB743E88255F000,
-    0xB743FA8257D000, 0xB74404D849D000, 0xB744169C587000, 0xB744282752D000, 0xB7443A61D87000, 0xB74444D8587000, 0xB744569C49D000, 0xB7446861D2D000,
-    0xB7447A27587000, 0xB74484DD609000, 0xB74496DD609000, 0xB744A882577000, 0xB744BA82577000, 0xB744C4F5609000, 0xB744D67D609000, 0xB744E88257D000,
-    0xB744FA8255F000, 0xB8000004929000, 0xB8004002199000, 0xB80050021A5000, 0xB80068245A0000, 0xB80078A5480000, 0xB8008048069000, 0xB80092480A5000,
-    0xB800A452029000, 0xB800B558281000, 0xB800C002169000, 0xB800D1081A5000, 0xB800E8185A0000, 0xB800FA245A0000, 0xB80100054A8000, 0xB80112054A8000,
-    0xB8012820295000, 0xB8013A02A15000, 0xB80140046A1000, 0xB8015204929000, 0xB8016C20961000, 0xB8017E08691000, 0xB8018418429000, 0xB8019624681000,
-    0xB801A469021000, 0xB801B6A5201000, 0xB801C021609000, 0xB801D181609000, 0xB801EC82548000, 0xB801FD82560000, 0xB8020418609000, 0xB8021624609000,
-    0xB8022882521000, 0xB8023A82521000, 0xB90000049B9000, 0xB9004002799000, 0xB90050027A5000, 0xB90068275A0000, 0xB90078A5483000, 0xB9008048267000,
-    0xB90092483A5000, 0xB900A4520E9000, 0xB900B55828D000, 0xB900C002667000, 0xB900D1087A5000, 0xB900E819DA0000, 0xB900FA275A0000, 0xB90100054AB000,
-    0xB90112054AB000, 0xB9012820E95000, 0xB9013A02AD5000, 0xB90140046AD000, 0xB90152049E9000, 0xB9016C2096D000, 0xB9017E0869D000, 0xB901841B429000,
-    0xB9019687681000, 0xB901A469027000, 0xB901B6A5231000, 0xB901C005B89000, 0xB901D207989000, 0xB901EC2426D000, 0xB901FE0299D000, 0xB9020005A2D000,
-    0xB9021206987000, 0xB9022C20D69000, 0xB9023E087A5000, 0xB902441D4A8000, 0xB90256354A8000, 0xB902682A147000, 0xB9027A2A14D000, 0xB902841D889000,
-    0xB9029635289000, 0xB902A824A47000, 0xB902BA1A84D000, 0xB902C4354A8000, 0xB902D61D4A8000, 0xB902E82A14D000, 0xB902FA2A147000, 0xB9030435889000,
-    0xB903161D289000, 0xB9032824A4D000, 0xB9033A1A847000, 0xB903404889D000, 0xB9035248267000, 0xB9036C36921000, 0xB9037E1DA21000, 0xB903843A461000,
-    0xB90396A3491000, 0xB903A8185A3000, 0xB903BA245A3000, 0xB903C43A491000, 0xB903D6A3461000, 0xB903E8245A3000, 0xB903FA185A3000, 0xB9040550A27000,
-    0xB9041550A8D000, 0xB90429087A5000, 0xB9043920DA5000, 0xB9044550B29000, 0xB9045550EA1000, 0xB90469086B5000, 0xB90479209B5000, 0xB90480346A1000,
-    0xB9049234929000, 0xB904AC26253000, 0xB904BE62253000, 0xB904C034929000, 0xB904D2346A1000, 0xB904EC62253000, 0xB904FE26253000, 0xB9050034989000,
-    0xB9051235889000, 0xB9052C1A853000, 0xB9053E24A53000, 0xB9054034A85000, 0xB9055234A85000, 0xB9056C52A13000, 0xB9057E52A13000, 0xB90580354A8000,
-    0xB90592354A8000, 0xB905AC2A153000, 0xB905BE2A153000, 0xB905C035889000, 0xB905D234989000, 0xB905EC24A53000, 0xB905FE1A853000, 0xB9060048693000,
-    0xB90612485A3000, 0xB9062C23961000, 0xB9063E38691000, 0xB9064048897000, 0xB906524886D000, 0xB9066C1E921000, 0xB9067E35A21000, 0xB906804C989000,
-    0xB906924D889000, 0xB906AC1A84D000, 0xB906BE24A4D000, 0xB906C04D4A8000, 0xB906D24D4A8000, 0xB906EC2A14D000, 0xB906FE2A14D000, 0xB90704534A8000,
-    0xB90716534A8000, 0xB907282A135000, 0xB9073A2A135000, 0xB9074463429000, 0xB9075627681000, 0xB9076469087000, 0xB90776A520D000, 0xB90780214E9000,
-    0xB907918168D000, 0xB907AC68D48000, 0xB907BDA4D60000, 0xB907C0215A3000, 0xB907D181693000, 0xB907EC3A548000, 0xB907FDA3560000, 0xB9080021639000,
-    0xB9081181639000, 0xB9082C98D48000, 0xB9083D98D60000, 0xB9084021663000, 0xB9085181663000, 0xB9086C8E548000, 0xB9087D8E560000, 0xB908802168D000,
-    0xB90891814E9000, 0xB908ACA4D48000, 0xB908BD68D60000, 0xB908C021693000, 0xB908D1815A3000, 0xB908ECA3548000, 0xB908FD3A560000, 0xB90904184E9000,
-    0xB909162468D000, 0xB9092868D21000, 0xB9093AA4D21000, 0xB90944185A3000, 0xB9095624693000, 0xB909683A521000, 0xB9097AA3521000, 0xB9098418639000,
-    0xB9099624639000, 0xB909A898D21000, 0xB909BA98D21000, 0xB909C418663000, 0xB909D624663000, 0xB909E88E521000, 0xB909FA8E521000, 0xB90A041868D000,
-    0xB90A16244E9000, 0xB90A28A4D21000, 0xB90A3A68D21000, 0xB90A4418693000, 0xB90A56245A3000, 0xB90A68A3521000, 0xB90A7A3A521000, 0xB90A841B609000,
-    0xB90A9687609000, 0xB90AA882527000, 0xB90ABA8258D000, 0xB90AC41D2A1000, 0xB90AD635229000, 0xB90AE8A4847000, 0xB90AFA6884D000, 0xB90B04352A1000,
-    0xB90B161D229000, 0xB90B28A484D000, 0xB90B3A68847000, 0xB90B4006627000, 0xB90B520668D000, 0xB90B6C62361000, 0xB90B7E27291000, 0xB90B800668D000,
-    0xB90B9206627000, 0xB90BACE0961000, 0xB90BBE0B691000, 0xB90BC0076A1000, 0xB90BD206729000, 0xB90BECA0761000, 0xB90BFE0A671000, 0xB90C002D609000,
-    0xB90C128D609000, 0xB90C2C8254B000, 0xB90C3E82563000, 0xB90C408D609000, 0xB90C522D609000, 0xB90C6C82563000, 0xB90C7E8254B000, 0xB90C812D609000,
-    0xB90C918D609000, 0xB90CAD8254B000, 0xB90CBD82563000, 0xB90CC463609000, 0xB90CD627609000, 0xB90CE882587000, 0xB90CFA8252D000, 0xB90D04D8609000,
-    0xB90D169C609000, 0xB90D288252D000, 0xB90D3A82587000, 0xBA00000A677000, 0xBA00100B7A5000, 0xBA00289DDA0000, 0xBA0038A548F000, 0xBA0040485AF000,
-    0xBA00524869F000, 0xBA0064521AF000, 0xBA00755829F000, 0xBA00800A5B7000, 0xBA00910B7A5000, 0xBA00A8518AF000, 0xBA00BA524AF000, 0xBA00C0069B7000,
-    0xBA00E06225F000, 0xBA010005AB7000, 0xBA0112069E7000, 0xBA01282469F000, 0xBA0138A523D000, 0xBA0140056AF000, 0xBA0152056AF000, 0xBA01682A3D5000,
-    0xBA017A0ABD5000, 0xBA018006AF5000, 0xBA019206EB5000, 0xBA01A8A05B7000, 0xBA01B8246BD000, 0xBA01C062277000, 0xBA01D24A277000, 0xBA01E8874E9000,
-    0xBA01F8A05ED000, 0xBA02000B799000, 0xBA021183D99000, 0xBA02289948F000, 0xBA023A9948F000, 0xBA02400E99D000, 0xBA025023799000, 0xBA026C3694B000,
-    0xBA027C1A763000, 0xBA028436399000, 0xBA0294363A5000, 0xBA02A8246B7000, 0xBA02B8A5237000, 0xBA02C00E66D000, 0xBA02D10BDA5000, 0xBA02EC0766B000,
-    0xBA02FD26763000, 0xBA0304D8297000, 0xBA031506E9D000, 0xBA032552E63000, 0xBA033558E63000, 0xBA034506A7D000, 0xBA035506B67000, 0xBA03655BE09000,
-    0xBA03755EE09000, 0xBA038049CE9000, 0xBA03926368D000, 0xBA03A8076A7000, 0xBA03BA067AD000, 0xBA03C00A76D000, 0xBA03D18295F000, 0xBA03E8DB5A0000,
-    0xBA03FA9DDA0000, 0xBA04000ED99000, 0xBA04100EDA5000, 0xBA042C1A74B000, 0xBA043C2674B000, 0xBA044434A67000, 0xBA045584B9D000, 0xBA046452CE9000,
-    0xBA047658E8D000, 0xBA048048E67000, 0xBA04926239D000, 0xBA04A81F629000, 0xBA04BA1C9E9000, 0xBA04C506A77000, 0xBA04D506B6D000, 0xBA04E9067E9000,
-    0xBA04F9076E9000, 0xBA050434B99000, 0xBA05151CA9D000, 0xBA0528858ED000, 0xBA0539247A7000, 0xBA054023D99000, 0xBA05510B799000, 0xBA056C99F48000,
-    0xBA057D0666F000, 0xBA058005BAD000, 0xBA059206DE9000, 0xBA05AC2627D000, 0xBA05BE0A6DD000, 0xBA05C062367000, 0xBA05D24B29D000, 0xBA05E8246E7000,
-    0xBA05FA187AD000, 0xBA06006236D000, 0xBA06124B297000, 0xBA0628874A7000, 0xBA063A19CAD000, 0xBA06402399D000, 0xBA06510B667000, 0xBA066CB6748000,
-    0xBA067D05B6B000, 0xBA068434A6D000, 0xBA06961E297000, 0xBA06A8076AD000, 0xBA06BA067A7000, 0xBA06C436369000, 0xBA06D5363A5000, 0xBA06E8186B7000,
-    0xBA06F9264BD000, 0xBA0704690E7000, 0xBA0716A524F000, 0xBA07247B429000, 0xBA07369F681000, 0xBA0740069ED000, 0xBA075205AB7000, 0xBA076C18AF5000,
-    0xBA077E1E2B5000, 0xBA0784F4869000, 0xBA079506FA5000, 0xBA07A8186BD000, 0xBA07B9264B7000, 0xBA07C0518AF000, 0xBA07D251E2B000, 0xBA07EC22BD5000,
-    0xBA07FE0AB75000, 0xBA080051E2B000, 0xBA0812518AF000, 0xBA082C0AB75000, 0xBA083E22BD5000, 0xBA084518B6D000, 0xBA085518B9D000, 0xBA0869187E9000,
-    0xBA0879247E9000, 0xBA0885069E7000, 0xBA089506ADD000, 0xBA08A91DE29000, 0xBA08B936D29000, 0xBA08C051CAB000, 0xBA08D251CAB000, 0xBA08EC22E75000,
-    0xBA08FE22E75000, 0xBA0900522E7000, 0xBA0912522E7000, 0xBA092C1CAB5000, 0xBA093E1CAB5000, 0xBA094436297000, 0xBA09561CA6D000, 0xBA0968246ED000,
-    0xBA097A187A7000, 0xBA098005BB9000, 0xBA0992079B9000, 0xBA09AC24E6D000, 0xBA09BE18B9D000, 0xBA09C00BB95000, 0xBA09D20EB95000, 0xBA09EC524EB000,
-    0xBA09FE518BB000, 0xBA0A000ED69000, 0xBA0A11C87A5000, 0xBA0A2C61B4B000, 0xBA0A3D8664F000, 0xBA0A443629D000, 0xBA0A561CA67000, 0xBA0A688762D000,
-    0xBA0A7A19CA7000, 0xBA0A85069ED000, 0xBA0A9506AD7000, 0xBA0AA935E29000, 0xBA0AB91ED29000, 0xBA0AC1BE095000, 0xBA0AD1EE095000, 0xBA0AE9584AF000,
-    0xBA0AF9518AF000, 0xBA0B0060F99000, 0xBA0B124B399000, 0xBA0B2C066ED000, 0xBA0B3E066BD000, 0xBA0B4023997000, 0xBA0B5181B6D000, 0xBA0B6C9E748000,
-    0xBA0B7D3586B000, 0xBA0B802CE95000, 0xBA0B928E8D5000, 0xBA0BA85D8A3000, 0xBA0BBA59CA3000, 0xBA0BC04DA87000, 0xBA0BD24B663000, 0xBA0BEC24B6D000,
-    0xBA0BFE0E99D000, 0xBA0C0453A87000, 0xBA0C1652E63000, 0xBA0C2824BB5000, 0xBA0C3A0E9B5000, 0xBA0C45069B7000, 0xBA0C5506B9D000, 0xBA0C6961CE9000,
-    0xBA0C7927729000, 0xBA0C8518B67000, 0xBA0C9584E9D000, 0xBA0CA919CE9000, 0xBA0CB987729000, 0xBA0CC048B9D000, 0xBA0CD248E67000, 0xBA0CEC3692D000,
-    0xBA0CFE1DA8D000, 0xBA0D041D8B9000, 0xBA0D16352B9000, 0xBA0D2887A47000, 0xBA0D3A1AB4D000, 0xBA0D44358B9000, 0xBA0D561D2B9000, 0xBA0D6887A4D000,
-    0xBA0D7A1AB47000, 0xBA0D804E2B5000, 0xBA0D924E8B5000, 0xBA0DAC52E2D000, 0xBA0DBE522BD000, 0xBA0DC060B9D000, 0xBA0DD24B267000, 0xBA0DEC3698D000,
-    0xBA0DFE1DA2D000, 0xBA0E0060FA5000, 0xBA0E124B369000, 0xBA0E2C2678D000, 0xBA0E3E198BD000, 0xBA0E410B997000, 0xBA0E510E66D000, 0xBA0E6D1E963000,
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-    0xBD4579622BD000, 0xBD45857CA29000, 0xBD4595F62A1000, 0xBD45A90A69F000, 0xBD45B9A06BD000, 0xBD45C10F5AA000, 0xBD45EDAA50F000, 0xBD4601A528F000,
-    0xBD462D28F5A000, 0xBD46458EA35000, 0xBD466958EA3000, 0xBD46846BC29000, 0xBD4696A7E81000, 0xBD46C02E627000, 0xBD46D28E68D000, 0xBD46EC6E24B000,
-    0xBD46FEE6263000, 0xBD47002E68D000, 0xBD47128E627000, 0xBD472CE624B000, 0xBD473E6E263000, 0xBD47402E729000, 0xBD47528F6A1000, 0xBD476C6A1CB000,
-    0xBD477EA4B63000, 0xBD47802E92D000, 0xBD47928DA87000, 0xBD47ACDA84B000, 0xBD47BE9CA63000, 0xBD47C02F6A1000, 0xBD47D28E729000, 0xBD47ECA4B4B000,
-    0xBD47FE6A1E3000, 0xBD48002F989000, 0xBD48128DB89000, 0xBD482C9A34B000, 0xBD483E989E3000, 0xBD48404A62F000, 0xBD485261A2F000, 0xBD486CE2B61000,
-    0xBD487E8BE91000, 0xBD48804B62B000, 0xBD489261E8B000, 0xBD48AC8AF61000, 0xBD48BEA2E71000, 0xBD48C04B68B000, 0xBD48D261E2B000, 0xBD48ECA2F61000,
-    0xBD48FE8AE71000, 0xBD4900688B7000, 0xBD491268B8D000, 0xBD492C6CB29000, 0xBD493EE72A1000, 0xBD49406CA27000, 0xBD49527A28D000, 0xBD496C6CA2D000,
-    0xBD497EE628D000, 0xBD49806CB29000, 0xBD49927B2A1000, 0xBD49AC688BD000, 0xBD49BEA4B8D000, 0xBD49C08E92D000, 0xBD49D22DA87000, 0xBD49ECDA863000,
-    0xBD49FE9CA4B000, 0xBD4A008F989000, 0xBD4A122DB89000, 0xBD4A2C9A363000, 0xBD4A3E989CB000, 0xBD4A412DA87000, 0xBD4A518E92D000, 0xBD4A6D9CA4B000,
-    0xBD4A7DDA863000, 0xBD4A812DB89000, 0xBD4A918F989000, 0xBD4AAD989CB000, 0xBD4ABD9A363000, 0xBD4AC13E689000, 0xBD4AD1CB989000, 0xBD4AED9898F000,
-    0xBD4AFD9A24F000, 0xBD4B04D84AB000, 0xBD4B169C6A3000, 0xBD4B282AD2D000, 0xBD4B3AA8D87000, 0xBD4B44D862B000, 0xBD4B569C68B000, 0xBD4B688AD2D000,
-    0xBD4B7AA2D87000, 0xBD4B84D868B000, 0xBD4B969C62B000, 0xBD4BA8A2D2D000, 0xBD4BBA8AD87000, 0xBD4BC4D86A3000, 0xBD4BD69C4AB000, 0xBD4BE8A8D2D000,
-    0xBD4BFA2AD87000, 0xBD4C04FA609000, 0xBD4C16AF609000, 0xBD4C28825AF000, 0xBD4C3A825AF000, 0xBD4C459BE09000, 0xBE0000022A9000, 0xBE002824AA0000,
-    0xBE0040021AA000, 0xBE00682A1A0000, 0xBE0080480AA000, 0xBE00A8202A9000, 0xBF000002AA7000, 0xBF002827AA0000, 0xBF0040026AB000, 0xBF00682ADA0000,
-    0xBF0080482AB000, 0xBF0092482AB000, 0xBF00A820EA9000, 0xBF00B8282AD000, 0xBF00C438A89000, 0xBF00D623A89000, 0xBF00E824AA3000, 0xBF00FA1A8A3000,
-    0xBF01043A4A8000, 0xBF0116A34A8000, 0xBF01282A1A3000, 0xBF013A2A1A3000, 0xC000000AAB7000, 0xC000289BBA0000, 0xC0004048AAF000, 0xC0005248AAF000,
-    0xC000682A29F000, 0xC000782A2BD000, 0xC000800A6AF000, 0xC00091829AF000, 0xC000A8AA48F000, 0xC000BAAA48F000, 0xC000C0229AF000, 0xC000ECEAB48000,
-    0xC001000E9AB000, 0xC00110237AA000, 0xC0012C3AA4B000, 0xC0013C22E6B000, 0xC00140226AF000, 0xC0015129E2B000, 0xC0016C0AB7A000, 0xC0017D0AB7A000,
-    0xC00180236AB000, 0xC001910B9AB000, 0xC001AC22E7A000, 0xC001BD0AB6B000, 0xC001C023AA7000, 0xC001D10BAAD000, 0xC001E89FAA0000, 0xC001FADABA0000,
-    0xC0020434BAA000, 0xC002151CAAB000, 0xC002282A2ED000, 0xC0023928EA7000, 0xC0024022AB7000, 0xC0026C1CABA000, 0xC002800EEA9000, 0xC00291C8AE9000,
-    0xC002A89BA83000, 0xC002BA9AEB0000, 0xC002C00EAAD000, 0xC002D1C8AA7000, 0xC002EC18AEB000, 0xC002FD868BB000, 0xC00300227AB000, 0xC0032C0AB6B000,
-    0xC0034023DAA000, 0xC003510B7AA000, 0xC0036CAAF48000, 0xC0037D0AA6F000, 0xC0038434AAB000, 0xC003951EA2B000, 0xC003A82B2AD000, 0xC003B90ABA7000,
-    0xC003C4363AA000, 0xC003E82A2B7000, 0xC00400298AF000, 0xC0041229E2B000, 0xC0042C22BDA000, 0xC0043E0AB7A000, 0xC00440239AB000, 0xC004510B6AB000,
-    0xC0046CBAB48000, 0xC0047D28B6B000, 0xC004800EDAA000, 0xC004AC2AB4B000, 0xC004C506ABB000, 0xC004D506AEB000, 0xC004E923BA9000, 0xC004F938BA9000,
-    0xC0050506AAF000, 0xC0051506BAB000, 0xC0052928BE9000, 0xC0053928EE9000, 0xC0054518AAF000, 0xC005551AE2B000, 0xC005692B2E9000, 0xC005790ABE9000,
-    0xC0058048EAB000, 0xC0059248BAB000, 0xC005AC22BE9000, 0xC005BE2E2AD000, 0xC005C41AE2B000, 0xC005D626E8B000, 0xC005E82E2E9000, 0xC005FA22BE9000,
-    0xC006041EA2B000, 0xC0061636A8B000, 0xC006282E2A7000, 0xC0063A22BAD000, 0xC006441A8AF000, 0xC0065626A8F000, 0xC0066823EA9000, 0xC0067A38AE9000,
-    0xC006841ACAB000, 0xC0069626EA3000, 0xC006A822EE9000, 0xC006BA28BE9000, 0xC006C41E8AB000, 0xC006D636AA3000, 0xC006E822EA7000, 0xC006FA28BAD000,
-    0xC0070060AAF000, 0xC007124A2AF000, 0xC0072C38AE9000, 0xC0073E23EA9000, 0xC0074060BAB000, 0xC007524B2AB000, 0xC0076C38AAD000, 0xC0077E23AAD000,
-    0xC0078060EAB000, 0xC007924A3AB000, 0xC007AC28BE9000, 0xC007BE22EAD000, 0xC007C060FAA000, 0xC007D24B3AA000, 0xC007EC28AED000, 0xC007FE22ABD000,
-    0xC0080518BAB000, 0xC008292A3E9000, 0xC00844368AB000, 0xC008561EAA3000, 0xC0086828EAD000, 0xC0087A28BA7000, 0xC0088436A2B000, 0xC008961EA8B000,
-    0xC008A888EAD000, 0xC008BA22BA7000, 0xC008C438AB9000, 0xC008D623AB9000, 0xC008E887AA3000, 0xC008FA1ABA3000, 0xC009051AA2F000, 0xC009290BBA9000,
-    0xC009451AE8B000, 0xC0095586E2B000, 0xC0096922BE9000, 0xC0097988EE9000, 0xC0098438AAD000, 0xC0099623AE9000, 0xC009A8A63A3000, 0xC009BA68BA3000,
-    0xC009C438EA9000, 0xC009D623EA9000, 0xC009E8A628F000, 0xC009FA68AB3000, 0xC00A04F8A89000, 0xC00A162FA89000, 0xC00A2824AAF000, 0xC00A3A1A8AF000,
-    0xC00A453EAA1000, 0xC00A558FA29000, 0xC00A69262AF000, 0xC00A79622AF000, 0xC00A8438DAA000, 0xC00A9623DAA000, 0xC00AA8AA60F000, 0xC00ABAAA4B3000,
-    0xC00AC43A4AB000, 0xC00AD6A36A3000, 0xC00AE82ADA3000, 0xC00AFAA8DA3000, 0xC00B043A62B000, 0xC00B16A368B000, 0xC00B288ADA3000, 0xC00B3AA2DA3000,
-    0xC00B443A68B000, 0xC00B56A362B000, 0xC00B68A2DA3000, 0xC00B7A8ADA3000, 0xC00B843A6A3000, 0xC00B96A34AB000, 0xC00BA8A8DA3000, 0xC00BBA2ADA3000,
-    0xC00BC43AA2D000, 0xC00BD6A3A87000, 0xC00BE827AA3000, 0xC00BFA62BA3000, 0xC00C04FA4A8000, 0xC00C16AF4A8000, 0xC00C282A1AF000, 0xC00C3A2A1AF000,
-    0xC00C40E8A27000, 0xC00C52BA28D000, 0xC00C6C6CA2B000, 0xC00C7EE628B000, 0xC00C80E8B29000, 0xC00C92BB2A1000, 0xC00CAC688BB000, 0xC00CBEA4B8B000,
-    0xC00CC0FA229000, 0xC00CD2FA2A1000, 0xC00CEC688AF000, 0xC00CFEA4A8F000, 0xC00D043AA87000, 0xC00D16A3A2D000, 0xC00D289CAA3000, 0xC00D3ADA8A3000,
-    0xC00D443AB89000, 0xC00D56A3E89000, 0xC00D6898BA3000, 0xC00D7A9A3A3000, 0xC00D843BA89000, 0xC00D96E3A89000, 0xC00DA898A8F000, 0xC00DBA9A2B3000,
-    0xC00DC58EA27000, 0xC00DD58EA8D000, 0xC00DE96E2A3000, 0xC00DF9E62A3000, 0xC00E058EB29000, 0xC00E158EEA1000, 0xC00E296A3A3000, 0xC00E39A4BA3000,
-    0xC00E41FA289000, 0xC00E6D98A2F000, 0xC100000A0AA000, 0xC100120A0AA000, 0xC10028A0AA0000, 0xC1003A0AAA0000, 0xC100410A0AA000, 0xC1006928AA0000,
-    0xC200000A2AB000, 0xC200120A2AB000, 0xC20028A3AA0000, 0xC2003A3AAA0000, 0xC200400A3AA000, 0xC200520A3AA000, 0xC20068A2BA0000, 0xC2007A2ABA0000,
-    0xC200803A0AA000, 0xC200923A0AA000, 0xC200A8A0AA3000, 0xC200BA0AAA3000, 0xC200C10A2AB000, 0xC200E92BAA0000, 0xC201010A3AA000, 0xC201292ABA0000,
-    0xC201413A0AA000, 0xC2016928AA3000, 0xC300000AAAF000, 0xC300120AAAF000, 0xC30028AFAA0000, 0xC3003AFAAA0000, 0xC300400ABAB000, 0xC300520AEAB000,
-    0xC30068AEBA0000, 0xC3007ABABA0000, 0xC300800AEAB000, 0xC300920ABAB000, 0xC300A8ABBA0000, 0xC300BAEABA0000, 0xC300C00AFAA000, 0xC300D20AFAA000,
-    0xC300E8AAFA0000, 0xC300FAAAFA0000, 0xC301010ABAB000, 0xC301110AEAB000, 0xC30129EABA0000, 0xC30139ABBA0000, 0xC301403A2AB000, 0xC301523A2AB000,
-    0xC30168AEA83000, 0xC3017ABAAB0000, 0xC301803A3AA000, 0xC301923A3AA000, 0xC301A8AAE83000, 0xC301BAAABB0000, 0xC301C0FA0AA000, 0xC301D2FA0AA000,
-    0xC301E8A0AAF000, 0xC301FA0AAAF000, 0xC302013A2AB000, 0xC30211CA2AB000, 0xC30229E8AA3000, 0xC302392BAA3000, 0xC302413A3AA000, 0xC30251CA3AA000,
-    0xC30269A8BA3000, 0xC302792ABA3000, 0xC302810AAAF000, 0xC302A9EBAA0000, 0xC302C10AFAA000, 0xC302E9AAFA0000, 0xC30300E82AB000, 0xC30312BA0AB000,
-    0xC30328A3AA3000, 0xC3033A3AAA3000, 0xC30340E83AA000, 0xC30352BB0AA000, 0xC30368A2BA3000, 0xC3037A2ABA3000, 0xC30381FA0AA000, 0xC303A928AAF000,
-    0xC4000005554000, 0xC4001205554000, 0xC5000051854000, 0xC5001252454000, 0xC5002C51854000, 0xC5003E52454000, 0xC5004052454000, 0xC5005251854000,
-    0xC5006C52454000, 0xC5007E51854000, 0xC5008055184000, 0xC5009255244000, 0xC500AC18554000, 0xC500BE24554000, 0xC500C055244000, 0xC500D255184000,
-    0xC500EC24554000, 0xC500FE18554000, 0xC5010455184000, 0xC5011655244000, 0xC5012818554000, 0xC5013A24554000, 0xC5014455244000, 0xC5015655184000,
-    0xC5016824554000, 0xC5017A18554000, 0xC5018021554000, 0xC5019181554000, 0xC501AC55520000, 0xC501BD55580000, 0xC501C048554000, 0xC501D248554000,
-    0xC501EC55184000, 0xC501FE55244000, 0xC5020418554000, 0xC5021624554000, 0xC5022855484000, 0xC5023A55484000, 0xC5024452154000, 0xC5025558154000,
-    0xC5026855214000, 0xC5027955814000, 0xC5028454854000, 0xC5029654854000, 0xC502A851854000, 0xC502BA52454000, 0xC60000055A4000, 0xC6001205694000,
-    0xC6004005A54000, 0xC6005206954000, 0xC60064550A4000, 0xC6007655A04000, 0xC6008005694000, 0xC60092055A4000, 0xC600A8A0554000, 0xC600BA0A554000,
-    0xC600C005664000, 0xC600D205664000, 0xC600E885854000, 0xC600FA1A454000, 0xC601000A554000, 0xC601120A554000, 0xC6012855680000, 0xC6013A55680000,
-    0xC601410A554000, 0xC6016D05568000, 0xC6018550A54000, 0xC601A905694000, 0xC601C506954000, 0xC601E9550A4000, 0xC6020006654000, 0xC6021206654000,
-    0xC6022C58584000, 0xC6023E51A44000, 0xC6024055824000, 0xC6025255824000, 0xC6026C82554000, 0xC6027E82554000, 0xC6028058254000, 0xC6029258254000,
-    0xC602AC58254000, 0xC602BE58254000, 0xC602C455824000, 0xC602D655824000, 0xC602E882554000, 0xC602FA82554000, 0xC7000022654000, 0xC7001022954000,
-    0xC7002C52468000, 0xC7003C5A520000, 0xC7004452264000, 0xC7005452294000, 0xC7006824694000, 0xC70078A5214000, 0xC7008048664000, 0xC7009248664000,
-    0xC700AC1A584000, 0xC700BE18694000, 0xC700C021A54000, 0xC700D182954000, 0xC700EC51868000, 0xC700FD5A580000, 0xC70100485A4000, 0xC7011248694000,
-    0xC7012C185A4000, 0xC7013E24694000, 0xC7014418A54000, 0xC7015624A54000, 0xC70168518A4000, 0xC7017A524A4000, 0xC70184521A4000, 0xC7019558294000,
-    0xC701A818694000, 0xC701B9A5814000, 0xC701C518A54000, 0xC701D584A54000, 0xC701E9518A4000, 0xC701F9584A4000, 0xC70200A5184000, 0xC70212A5244000,
-    0xC7022C18568000, 0xC7023E24568000, 0xC70240A5244000, 0xC70252A5184000, 0xC7026C24568000, 0xC7027E18568000, 0xC70281A5184000, 0xC70291A5244000,
-    0xC702AD18568000, 0xC702BD24568000, 0xC702C469184000, 0xC702D6A5244000, 0xC702E8185A4000, 0xC702FA245A4000, 0xC7030469244000, 0xC70316A5184000,
-    0xC70328245A4000, 0xC7033A185A4000, 0xC7034048694000, 0xC70352485A4000, 0xC7036C26584000, 0xC7037E61A44000, 0xC7038051A84000, 0xC70392524A4000,
-    0xC703AC26254000, 0xC703BE62254000, 0xC703C0524A4000, 0xC703D251A84000, 0xC703EC62254000, 0xC703FE26254000, 0xC7040052624000, 0xC7041256224000,
-    0xC7042C1A854000, 0xC7043E24A54000, 0xC7044052A14000, 0xC7045252A14000, 0xC7046C52A14000, 0xC7047E52A14000, 0xC70480552A0000, 0xC70492552A0000,
-    0xC704AC2A154000, 0xC704BE2A154000, 0xC704C056224000, 0xC704D252624000, 0xC704EC24A54000, 0xC704FE1A854000, 0xC7050062254000, 0xC705124A254000,
-    0xC7052C524A4000, 0xC7053E51A84000, 0xC70544552A0000, 0xC70556552A0000, 0xC705682A154000, 0xC7057A2A154000, 0xC7058456224000, 0xC7059654A24000,
-    0xC705A824A54000, 0xC705BA1A854000, 0xC705C0215A4000, 0xC705D181694000, 0xC705EC69520000, 0xC705FDA5580000, 0xC7060021664000, 0xC7061181664000,
-    0xC7062C99520000, 0xC7063D99580000, 0xC7064021694000, 0xC70651815A4000, 0xC7066CA5520000, 0xC7067D69580000, 0xC70684185A4000, 0xC7069624694000,
-    0xC706A869484000, 0xC706BAA5484000, 0xC706C418664000, 0xC706D624664000, 0xC706E899484000, 0xC706FA99484000, 0xC7070418694000, 0xC70716245A4000,
-    0xC70728A5484000, 0xC7073A69484000, 0xC707404A854000, 0xC7075248A54000, 0xC7076C5A484000, 0xC7077E56884000, 0xC7078454A84000, 0xC70796548A4000,
-    0xC707A8A4854000, 0xC707BA68854000, 0xC800000A5A4000, 0xC800120A694000, 0xC8002856A80000, 0xC8003A5A680000, 0xC800400A664000, 0xC800520A664000,
-    0xC8006899680000, 0xC8007A99680000, 0xC800800A694000, 0xC800920A5A4000, 0xC800A8A5680000, 0xC800BA69680000, 0xC800C0681A4000, 0xC800D268294000,
-    0xC800E45A0A4000, 0xC800F65AA04000, 0xC801010A5A4000, 0xC801110A694000, 0xC8012D05A68000, 0xC8013D06968000, 0xC80140056A8000, 0xC80152056A8000,
-    0xC80168A0A54000, 0xC8017A0AA54000, 0xC80180069A4000, 0xC8019205AA4000, 0xC801A8A0694000, 0xC801BA0A694000, 0xC801C006A94000, 0xC801D206A94000,
-    0xC801E8A05A4000, 0xC801FA0A5A4000, 0xC8020068264000, 0xC8021268264000, 0xC80228858A4000, 0xC8023A1A4A4000, 0xC802410A664000, 0xC8026D06668000,
-    0xC8028506A64000, 0xC802A9066A4000, 0xC802C5069A4000, 0xC802D506A94000, 0xC802E9618A4000, 0xC802F9264A4000, 0xC8030005AA4000, 0xC80312069A4000,
-    0xC8032CA05A4000, 0xC8033E0A694000, 0xC803402A254000, 0xC803528A254000, 0xC8036C58268000, 0xC8037E58268000, 0xC8038049A24000, 0xC8039262624000,
-    0xC803AC825A4000, 0xC803BE82694000, 0xC803C452A24000, 0xC803D658A24000, 0xC803E882694000, 0xC803FA82694000, 0xC80405528A4000, 0xC8041558A84000,
-    0xC804290A694000, 0xC80439A0694000, 0xC80444690A4000, 0xC80456A5A04000, 0xC80480A5824000, 0xC80492A5824000, 0xC804AC82568000, 0xC804BE82568000,
-    0xC804C469824000, 0xC804D6A5824000, 0xC804E8825A4000, 0xC804FA825A4000, 0xC80501A8254000, 0xC8052959A80000, 0xC805455A824000, 0xC805659A814000,
-    0xC80581A5824000, 0xC805AD82568000, 0xC805C04A4A4000, 0xC805D261A84000, 0xC805EC6A184000, 0xC805FEA4A44000, 0xC9000022A94000, 0xC9002C52A28000,
-    0xC90044522A8000, 0xC900682A294000, 0xC90080486A8000, 0xC90092486A8000, 0xC900AC2A1A4000, 0xC900BE2A294000, 0xC900C048AA4000, 0xC900D248AA4000,
-    0xC900EC1A8A4000, 0xC900FE24AA4000, 0xC9010021AA4000, 0xC90111829A4000, 0xC9012C26268000, 0xC9013D6A980000, 0xC90140229A4000, 0xC9015129A84000,
-    0xC9016C6A920000, 0xC9017D26268000, 0xC9018418AA4000, 0xC9019624AA4000, 0xC901A8A48A4000, 0xC901BA688A4000, 0xC901C089A24000, 0xC901D22A624000,
-    0xC901EC24A68000, 0xC901FE1A868000, 0xC902008A4A4000, 0xC9021229A84000, 0xC9022C62268000, 0xC9023E26268000, 0xC902412A624000, 0xC9025189A24000,
-    0xC9026D1A868000, 0xC9027D24A68000, 0xC9028462A24000, 0xC9029626A24000, 0xC902A824AA4000, 0xC902BA1A8A4000, 0xC902C0A2624000, 0xC902D2A6224000,
-    0xC902EC1A868000, 0xC902FE24A68000, 0xC90300A52A0000, 0xC90312A52A0000, 0xC9032C2A168000, 0xC9033E2A168000, 0xC90344692A0000, 0xC90356A52A0000,
-    0xC903682A1A4000, 0xC9037A2A1A4000, 0xC903851AA84000, 0xC90395868A4000, 0xC903A9262A4000, 0xC903B9622A4000, 0xC903C0216A8000, 0xC903D1816A8000,
-    0xC903ECAA520000, 0xC903FDAA580000, 0xC90404186A8000, 0xC90416246A8000, 0xC90428AA484000, 0xC9043AAA484000, 0xC90441A52A0000, 0xC9046D2A168000,
-    0xC90480688A4000, 0xC9049268A84000, 0xC904AC688A4000, 0xC904BEA4A84000, 0xCA00000A6A8000, 0xCA00120A6A8000, 0xCA0028AA680000, 0xCA003AAA680000,
-    0xCA00400AAA4000, 0xCA00520AAA4000, 0xCA0068A6A80000, 0xCA007A6AA80000, 0xCA0080682A8000, 0xCA0092682A8000, 0xCA00A8A0AA4000, 0xCA00BA0AAA4000,
-    0xCA00C10A6A8000, 0xCA00ED0AA68000, 0xCA01010AAA4000, 0xCA012D06AA8000, 0xCA014506AA8000, 0xCA016928AA4000,
+// seed(36) + type_id(8) + pattern_id(10) + toward(2)
+
+constexpr auto GROUP_DATA = std::to_array<uint64_t>({
+#include "group.inc"
 });
 
 } // namespace klotski::cases
diff --git a/src/core/group/internal/constant/pattern.inc b/src/core/group/internal/constant/pattern.inc
new file mode 100644
index 0000000..0949c9b
--- /dev/null
+++ b/src/core/group/internal/constant/pattern.inc
@@ -0,0 +1,823 @@
+0x000000000000060, 0x000000001800600, 0x000000007802D00, 0x00000001F80D200, 0x00000007F82AA80, 0x0000001FF866600, 0x0000007FF8BBB00, 0x000001FFF90C200,
+0x000007FFF92DA40, 0x00001FFFF90C200, 0x00007FFFF8BBB00, 0x0001FFFFF866600, 0x0007FFFFF82AA80, 0x001FFFFFF80D200, 0x007FFFFFF802D00, 0x0000000020003E0,
+0x00000000E003640, 0x00000003E0160A0, 0x0000001BE058280, 0x0000003FE0F26E0, 0x000000FFE1E4DC0, 0x000003FFE2D74A0, 0x00001BFFE33F300, 0x00003FFFE2D74A0,
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+0x096DC4800000014, 0x09F344800000014, 0x26C255800000014, 0x26C315800000014, 0x26C345800000014, 0x26C351800000014, 0x27D304800000014, 0x2CDF04800000020,
+0x001154800000AF1, 0x0010D5000000931, 0x024055000000891, 0x001553800002B21, 0x001355800002441, 0x024155800001124, 0x21C544800000054, 0x21D254000000044,
+0x00555B800002FE1, 0x024557800000D84, 0x005357800000B3C, 0x0114D78000006B1, 0x0074D580000025C, 0x01135780000023C, 0x011B558000001F4, 0x011D538000001F4,
+0x21A5D50000001EC, 0x01155B8000003B1, 0x0077548000001C4, 0x0075568000001B4, 0x0113D5800000341, 0x011ED500000016C, 0x21A55580000016C, 0x21B1D5000000241,
+0x014C5780000010C, 0x011CD58000000E4, 0x0076D50000001A1, 0x28355D8000000BC, 0x28355780000009C, 0x28C55780000009C, 0x024755800000094, 0x20D715800000084,
+0x20F515800000084, 0x20D457800000074, 0x20D655800000074, 0x20F455800000074, 0x030557800000064, 0x0305D5800000064, 0x030755800000064, 0x0307D5000000064,
+0x28C5D58000000A1, 0x21B455800000054, 0x21B515800000054, 0x21C55C800000054, 0x28D517800000091, 0x28D745800000044, 0x21C556800000034, 0x21C754800000034,
+0x27C54480000002C, 0x29F55080000002C, 0x21C6D5000000024, 0x21D255800000024, 0x21D315800000024, 0x21D345800000024, 0x21D351800000024, 0x21D516800000024,
+0x27D254000000024, 0x074513800000014, 0x074594800000014, 0x07D114800000014, 0x21D543800000014, 0x21D5C4800000014, 0x21DD44800000014, 0x2C7513800000014,
+0x2C7594800000014, 0x0FD144800000011, 0x00505500000016C, 0x085055000000169, 0x005155800000214, 0x0051D5000000214, 0x01D055000000184, 0x085155800000211,
+0x0851D5000000211, 0x09D055000000181, 0x005557800000134, 0x0055D5800000134, 0x005755800000134, 0x0057D5000000134, 0x0855D5800000134, 0x01D1558000000EC,
+0x01D1D50000000EC, 0x07D0550000000D4, 0x09D1558000000BC, 0x09D1D50000000BC, 0x085557800000131, 0x0857D5000000131, 0x07415580000008C, 0x0741D500000008C,
+0x0FD0550000000D1, 0x002AAA000000163, 0x028C2A00000002C, 0x02922A00000002C, 0x02A8C200000002C, 0x02A92200000002C, 0x22A8C200000002C, 0x22A92200000002C,
+0x010AAA00000001C, 0x0242AA00000001C, 0x20C2AA00000001C, 0x2290AA00000001C, 0x22A42A00000001C, 0x002AD2000000293, 0x002D2A0000000DC, 0x002B4A0000000CC,
+0x002B320000000BC, 0x0052AA000000074, 0x0852AA000000071, 0x2A852A000000059, 0x2834AA000000041, 0x00332A000000024, 0x02AC12000000014, 0x02C12A000000014,
+0x22AC12000000014, 0x01132A0000000AC, 0x2291320000000AC, 0x024332000000064, 0x010D2A00000005C, 0x0242D200000005C, 0x20C52A00000005C, 0x2290D200000005C,
+0x28C52A000000044, 0x0528C200000002C, 0x05292200000002C, 0x0D28C200000002C, 0x2348C200000002C, 0x23492200000002C, 0x02434A000000024, 0x028D42000000024,
+0x029252000000024, 0x029312000000024, 0x02950A000000024, 0x02A950000000024, 0x02B112000000024, 0x03112A000000024, 0x22A950000000024, 0x22B112000000024,
+0x010AD200000001C, 0x010B3200000001C, 0x010B4A00000001C, 0x20C2D200000001C, 0x20C33200000001C, 0x20C34A00000001C, 0x02542A000000014, 0x22A542000000014,
+0x0052D20000000BC, 0x0053320000000BC, 0x00534A0000000BC, 0x0340D20000000BC, 0x0852D20000000BC, 0x002B540000000B4, 0x0034D20000000B4, 0x00354A0000000AC,
+0x034132000000084, 0x0853320000000B9, 0x2835320000000B9, 0x2834D200000005C, 0x002D52000000034, 0x01512A00000001C, 0x024D1200000001C, 0x22951200000001C,
+0x2A945200000001C, 0x234852000000023, 0x052C12000000014, 0x234C12000000014, 0x0D412A000000019, 0x2AD412000000019, 0x0D2C12000000011, 0x02525200000000C,
+0x01154A0000000C1, 0x2291540000000C1, 0x024354000000054, 0x024552000000054, 0x010D5200000004C, 0x0114D200000004C, 0x20C552000000044, 0x044D1200000002C,
+0x04525200000002C, 0x09531200000002C, 0x23151200000002C, 0x051312000000024, 0x052950000000024, 0x234950000000024, 0x28D542000000024, 0x010B5400000001C,
+0x20C35400000001C, 0x0D2950000000021, 0x034452000000014, 0x0053540000000A4, 0x0055520000000A4, 0x03415400000008C, 0x0853540000000A9, 0x0855520000000A9,
+0x283554000000079,
diff --git a/src/core/group/internal/group_pro.cc b/src/core/group/internal/group_pro.cc
index 4c9161a..1add55e 100644
--- a/src/core/group/internal/group_pro.cc
+++ b/src/core/group/internal/group_pro.cc
@@ -8,11 +8,11 @@ using klotski::codec::CommonCode;
 using klotski::cases::GroupPro;
 using klotski::cases::RangesUnion;
 
-using klotski::cases::GROUP_PRO_SEED;
-using klotski::cases::GROUP_SEED_MAP;
+using klotski::cases::GROUP_DATA;
+using klotski::cases::PATTERN_DATA;
 
 RangesUnion GroupPro::cases() const {
-    auto seed = CommonCode::unsafe_create(GROUP_PRO_SEED[flat_id()]);
+    auto seed = CommonCode::unsafe_create(PATTERN_DATA[flat_id()] >> 23);
 
     // NOTE: convert as RawCode directly
     if (toward_ == Toward::B) {
@@ -41,12 +41,12 @@ RangesUnion GroupPro::cases() const {
 static std::unordered_map<uint64_t, GroupPro> build_map_data() {
     // NOTE: using CommonCode as map key
     std::unordered_map<uint64_t, GroupPro> data;
-    data.reserve(GROUP_SEED_MAP.size());
-    for (auto raw : GROUP_SEED_MAP) {
-        uint32_t type_id = (raw >> 48) & 0b11111111;
-        uint32_t pattern_id = (raw >> 38) & 0b1111111111;
-        uint32_t toward = (raw >> 36) & 0b11;
-        auto seed = CommonCode::unsafe_create(raw & (uint64_t)0xFFFFFFFFF).unwrap();
+    data.reserve(GROUP_DATA.size());
+    for (auto raw : GROUP_DATA) {
+        uint32_t type_id = (raw >> 12) & 0b11111111;
+        uint32_t pattern_id = (raw >> 2) & 0b1111111111;
+        uint32_t toward = raw & 0b11;
+        auto seed = CommonCode::unsafe_create(raw >> 20).unwrap();
         auto group = GroupPro::unsafe_create(type_id, pattern_id, (GroupPro::Toward)toward);
         data.emplace(seed, group);
     }
diff --git a/src/core/group/internal/group_pro.inl b/src/core/group/internal/group_pro.inl
index 984aae5..d33dc33 100644
--- a/src/core/group/internal/group_pro.inl
+++ b/src/core/group/internal/group_pro.inl
@@ -36,7 +36,7 @@ constexpr uint32_t GroupPro::flat_id() const {
 }
 
 constexpr uint32_t GroupPro::size() const {
-    return GROUP_PRO_SIZE[flat_id()];
+    return (PATTERN_DATA[flat_id()] >> 3) & 0xFFFFF;
 }
 
 inline GroupPro GroupPro::from_short_code(codec::ShortCode short_code) {
@@ -47,19 +47,8 @@ inline GroupPro GroupPro::from_common_code(codec::CommonCode common_code) {
     return from_raw_code(common_code.to_raw_code());
 }
 
-constexpr GroupPro::MirrorType GroupPro::mirror_type() const {
-    switch (GROUP_PRO_TYPE[flat_id()]) {
-        case 0:
-            return MirrorType::Full;
-        case 1:
-            return MirrorType::Horizontal;
-        case 2:
-            return MirrorType::Centro;
-        case 3:
-            return MirrorType::Vertical;
-        case 4:
-            return MirrorType::Ordinary;
-    }
+constexpr auto GroupPro::mirror_type() const -> MirrorType {
+    return static_cast<MirrorType>(PATTERN_DATA[flat_id()] & 0b111);
 }
 
 constexpr bool GroupPro::is_vertical_mirror() const {
diff --git a/src/core/main.cc b/src/core/main.cc
index c4f3761..5468f08 100644
--- a/src/core/main.cc
+++ b/src/core/main.cc
@@ -61,13 +61,18 @@ int main() {
 //    std::cout << data_s.size() << std::endl;
 //    std::cout << data_c.size() << std::endl;
 
-    GroupCasesPro::build();
+    auto group = GroupPro::from_common_code(CommonCode::unsafe_create(0x1A9BF0C00));
+    std::cout << group.type_id() << std::endl;
+    std::cout << group.pattern_id() << std::endl;
+    std::cout << (int)group.toward() << std::endl;
 
-    auto kk = GroupCasesPro::fast_obtain(CommonCode::unsafe_create(0x1A9BF0C00).to_short_code());
-    std::cout << std::format("{}-{}-{}-{}", kk.group.type_id(), kk.group.pattern_id(), (int)kk.group.toward(), kk.case_id) << std::endl;
-
-    auto code = GroupCasesPro::fast_parse(kk);
-    std::cout << code << std::endl;
+//    GroupCasesPro::build();
+//
+//    auto kk = GroupCasesPro::fast_obtain(CommonCode::unsafe_create(0x1A9BF0C00).to_short_code());
+//    std::cout << std::format("{}-{}-{}-{}", kk.group.type_id(), kk.group.pattern_id(), (int)kk.group.toward(), kk.case_id) << std::endl;
+//
+//    auto code = GroupCasesPro::fast_parse(kk);
+//    std::cout << code << std::endl;
 
 //    const auto common_code = CommonCode::unsafe_create(0x1A9BF0C00);
 //    const auto group = Group::from_common_code(common_code);