/* * Copyright (c) 2018, Raffaello Giulietti. All rights reserved. * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER. * * This code is free software; you can redistribute it and/or modify it * under the terms of the GNU General Public License version 2 only, as * published by the Free Software Foundation. * This particular file is subject to the "Classpath" exception as provided * in the LICENSE file that accompanied this code. * * This code is distributed in the hope that it will be useful, but WITHOUT * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or * FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License * version 2 for more details (a copy is included in the LICENSE file that * accompanied this code). * * You should have received a copy of the GNU General Public License version * 2 along with this work; if not, write to the Free Software Foundation, * Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA. */ package jdk.internal.math; /** * @author Raffaello Giulietti */ final class MathUtils { // C_10 = floor(log10(2) * 2^Q_10), A_10 = floor(log10(3/4) * 2^Q_10) private static final int Q_10 = 41; private static final long C_10 = 661_971_961_083L; private static final long A_10 = -274_743_187_321L; // C_2 = floor(log2(10) * 2^Q_2) private static final int Q_2 = 38; private static final long C_2 = 913_124_641_741L; // The minimum exponent for ceilPow5dHigh(int) private static final int MIN_EXP = -292; private MathUtils() { } // pow10[i] = 10^i, 0 <= i <= H static final long[] pow10 = { 1L, 10L, 100L, 1_000L, 10_000L, 100_000L, 1_000_000L, 10_000_000L, 100_000_000L, 1_000_000_000L, 10_000_000_000L, 100_000_000_000L, 1_000_000_000_000L, 10_000_000_000_000L, 100_000_000_000_000L, 1_000_000_000_000_000L, 10_000_000_000_000_000L, 100_000_000_000_000_000L, }; /** * Returns the unique integer k such that * 10k ≤ 2{@code e} * < 10k+1. *

* The result is correct when |{@code e}| ≤ 5_456_721. * Otherwise the result may or may not be correct. * * @param e The exponent of 2, which should meet * |{@code e}| ≤ 5_456_721 for safe results. * @return ⌊log102{@code e}⌋. */ static int flog10pow2(int e) { return (int) (e * C_10 >> Q_10); } /** * Returns the unique integer k such that * 10k ≤ 3/4 · 2{@code e} * < 10k+1. *

* The result is correct when * -2_956_395 ≤ |{@code e}| ≤ 2_500_325. * Otherwise the result may or may not be correct. * * @param e The exponent of 2, which should meet * -2_956_395 ≤ |{@code e}| ≤ 2_500_325 for safe results. * @return ⌊log10(3/4 · * 2{@code e})⌋. */ static int flog10threeQuartersPow2(int e) { return (int) ((e * C_10 + A_10) >> Q_10); } /** * Returns the unique integer k such that * 2k ≤ 10{@code e} * < 2k+1. *

* The result is correct when |{@code e}| ≤ 1_838_394. * Otherwise the result may or may not be correct. * * @param e The exponent of 10, which should meet * |{@code e}| ≤ 1_838_394 for safe results. * @return ⌊log210{@code e}⌋. */ static int flog2pow10(int e) { return (int) (e * C_2 >> Q_2); } /** * Let 5{@code e} = d · 2r, * for the unique pair of integer r and real d meeting * 2125 ≤ d < 2126. * Further, let c = ⌈d⌉. * Split c into the higher 63 bits c1 and * the lower 63 bits c0. Thus, * c1 = * ⌊c · 2-63⌋ * and * c0 = * c - c1 · 263. *

* This method returns c1 while * {@link #ceilPow5dLow(int)} returns c0. *

* If needed, the exponent r can be computed as * r = {@code flog2pow10(e) - e - 125} * (see {@link #flog2pow10(int)}). * * @param e The exponent of 5, * which must meet -292 ≤ {@code e} ≤ 324. * @return c1 as described above. */ static long ceilPow5dHigh(int e) { return ceilPow5d[e - MIN_EXP << 1]; } /** * Returns c0 as described in {@link #ceilPow5dHigh(int)}. * * @param e The exponent of 5, * which must meet -292 ≤ {@code e} ≤ 324. * @return c0 as described in {@link #ceilPow5dHigh(int)}. */ static long ceilPow5dLow(int e) { return ceilPow5d[e - MIN_EXP << 1 | 1]; } private static final long[] ceilPow5d = { /* -292 */ 0x7FBB_D8FE_5F5E_6E27L, 0x497A_3A27_04EE_C3DFL, /* -291 */ 0x4FD5_679E_FB9B_04D8L, 0x5DEC_6458_6315_3A6CL, /* -290 */ 0x63CA_C186_BA81_C60EL, 0x7567_7D6E_7BDA_8906L, /* -289 */ 0x7CBD_71E8_6922_3792L, 0x52C1_5CCA_1AD1_2B48L, /* -288 */ 0x4DF6_6731_41B5_62BBL, 0x53B8_D9FE_50C2_BB0DL, /* -287 */ 0x6174_00FD_9222_BB6AL, 0x48A7_107D_E4F3_69D0L, /* -286 */ 0x79D1_013C_F6AB_6A45L, 0x1AD0_D49D_5E30_4444L, /* -285 */ 0x4C22_A0C6_1A2B_226BL, 0x20C2_84E2_5ADE_2AABL, /* -284 */ 0x5F2B_48F7_A0B5_EB06L, 0x08F3_261A_F195_B555L, /* -283 */ 0x76F6_1B35_88E3_65C7L, 0x4B2F_EFA1_ADFB_22ABL, /* -282 */ 0x4A59_D101_758E_1F9CL, 0x5EFD_F5C5_0CBC_F5ABL, /* -281 */ 0x5CF0_4541_D2F1_A783L, 0x76BD_7336_4FEC_3315L, /* -280 */ 0x742C_5692_47AE_1164L, 0x746C_D003_E3E7_3FDBL, /* -279 */ 0x489B_B61B_6CCC_CADFL, 0x08C4_0202_6E70_87E9L, /* -278 */ 0x5AC2_A3A2_47FF_FD96L, 0x6AF5_0283_0A0C_A9E3L, /* -277 */ 0x7173_4C8A_D9FF_FCFCL, 0x45B2_4323_CC8F_D45CL, /* -276 */ 0x46E8_0FD6_C83F_FE1DL, 0x6B8F_69F6_5FD9_E4B9L, /* -275 */ 0x58A2_13CC_7A4F_FDA5L, 0x2673_4473_F7D0_5DE8L, /* -274 */ 0x6ECA_98BF_98E3_FD0EL, 0x5010_1590_F5C4_7561L, /* -273 */ 0x453E_9F77_BF8E_7E29L, 0x120A_0D7A_999A_C95DL, /* -272 */ 0x568E_4755_AF72_1DB3L, 0x368C_90D9_4001_7BB4L, /* -271 */ 0x6C31_D92B_1B4E_A520L, 0x242F_B50F_9001_DAA1L, /* -270 */ 0x439F_27BA_F111_2734L, 0x169D_D129_BA01_28A5L, /* -269 */ 0x5486_F1A9_AD55_7101L, 0x1C45_4574_2881_72CEL, /* -268 */ 0x69A8_AE14_18AA_CD41L, 0x4356_96D1_32A1_CF81L, /* -267 */ 0x4209_6CCC_8F6A_C048L, 0x7A16_1E42_BFA5_21B1L, /* -266 */ 0x528B_C7FF_B345_705BL, 0x189B_A5D3_6F8E_6A1DL, /* -265 */ 0x672E_B9FF_A016_CC71L, 0x7EC2_8F48_4B72_04A4L, /* -264 */ 0x407D_343F_C40E_3FC7L, 0x1F39_998D_2F27_42E7L, /* -263 */ 0x509C_814F_B511_CFB9L, 0x0707_FFF0_7AF1_13A1L, /* -262 */ 0x64C3_A1A3_A256_43A7L, 0x28C9_FFEC_99AD_5889L, /* -261 */ 0x7DF4_8A0C_8AEB_D491L, 0x12FC_7FE7_C018_AEABL, /* -260 */ 0x4EB8_D647_D6D3_64DAL, 0x5BDD_CFF0_D80F_6D2BL, /* -259 */ 0x6267_0BD9_CC88_3E11L, 0x32D5_43ED_0E13_4875L, /* -258 */ 0x7B00_CED0_3FAA_4D95L, 0x5F8A_94E8_5198_1A93L, /* -257 */ 0x4CE0_8142_27CA_707DL, 0x4BB6_9D11_32FF_109CL, /* -256 */ 0x6018_A192_B1BD_0C9CL, 0x7EA4_4455_7FBE_D4C3L, /* -255 */ 0x781E_C9F7_5E2C_4FC4L, 0x1E4D_556A_DFAE_89F3L, /* -254 */ 0x4B13_3E3A_9ADB_B1DAL, 0x52F0_5562_CBCD_1638L, /* -253 */ 0x5DD8_0DC9_4192_9E51L, 0x27AC_6ABB_7EC0_5BC6L, /* -252 */ 0x754E_113B_91F7_45E5L, 0x5197_856A_5E70_72B8L, /* -251 */ 0x4950_CAC5_3B3A_8BAFL, 0x42FE_B362_7B06_47B3L, /* -250 */ 0x5BA4_FD76_8A09_2E9BL, 0x33BE_603B_19C7_D99FL, /* -249 */ 0x728E_3CD4_2C8B_7A42L, 0x20AD_F849_E039_D007L, /* -248 */ 0x4798_E604_9BD7_2C69L, 0x346C_BB2E_2C24_2205L, /* -247 */ 0x597F_1F85_C2CC_F783L, 0x6187_E9F9_B72D_2A86L, /* -246 */ 0x6FDE_E767_3380_3564L, 0x59E9_E478_24F8_7527L, /* -245 */ 0x45EB_50A0_8030_215EL, 0x7832_2ECB_171B_4939L, /* -244 */ 0x5766_24C8_A03C_29B6L, 0x563E_BA7D_DCE2_1B87L, /* -243 */ 0x6D3F_ADFA_C84B_3424L, 0x2BCE_691D_541A_A268L, /* -242 */ 0x4447_CCBC_BD2F_0096L, 0x5B61_01B2_5490_A581L, /* -241 */ 0x5559_BFEB_EC7A_C0BCL, 0x3239_421E_E9B4_CEE1L, /* -240 */ 0x6AB0_2FE6_E799_70EBL, 0x3EC7_92A6_A422_029AL, /* -239 */ 0x42AE_1DF0_50BF_E693L, 0x173C_BBA8_2695_41A0L, /* -238 */ 0x5359_A56C_64EF_E037L, 0x7D0B_EA92_303A_9208L, /* -237 */ 0x6830_0EC7_7E2B_D845L, 0x7C4E_E536_BC49_368AL, /* -236 */ 0x411E_093C_AEDB_672BL, 0x5DB1_4F42_35AD_C217L, /* -235 */ 0x5165_8B8B_DA92_40F6L, 0x551D_A312_C319_329CL, /* -234 */ 0x65BE_EE6E_D136_D134L, 0x2A65_0BD7_73DF_7F43L, /* -233 */ 0x7F2E_AA0A_8584_8581L, 0x34FE_4ECD_50D7_5F14L, /* -232 */ 0x4F7D_2A46_9372_D370L, 0x711E_F140_5286_9B6CL, /* -231 */ 0x635C_74D8_384F_884DL, 0x0D66_AD90_6728_4247L, /* -230 */ 0x7C33_920E_4663_6A60L, 0x30C0_58F4_80F2_52D9L, /* -229 */ 0x4DA0_3B48_EBFE_227CL, 0x1E78_3798_D097_73C8L, /* -228 */ 0x6108_4A1B_26FD_AB1BL, 0x2616_457F_04BD_50BAL, /* -227 */ 0x794A_5CA1_F0BD_15E2L, 0x0F9B_D6DE_C5EC_A4E8L, /* -226 */ 0x4BCE_79E5_3676_2DADL, 0x29C1_664B_3BB3_E711L, /* -225 */ 0x5EC2_185E_8413_B918L, 0x5431_BFDE_0AA0_E0D5L, /* -224 */ 0x7672_9E76_2518_A75EL, 0x693E_2FD5_8D49_190BL, /* -223 */ 0x4A07_A309_D72F_689BL, 0x21C6_DDE5_784D_AFA7L, /* -222 */ 0x5C89_8BCC_4CFB_42C2L, 0x0A38_955E_D661_1B90L, /* -221 */ 0x73AB_EEBF_603A_1372L, 0x4CC6_BAB6_8BF9_6274L, /* -220 */ 0x484B_7537_9C24_4C27L, 0x4FFC_34B2_177B_DD89L, /* -219 */ 0x5A5E_5285_832D_5F31L, 0x43FB_41DE_9D5A_D4EBL, /* -218 */ 0x70F5_E726_E3F8_B6FDL, 0x74FA_1256_44B1_8A26L, /* -217 */ 0x4699_B078_4E7B_725EL, 0x591C_4B75_EAEE_F658L, /* -216 */ 0x5840_1C96_621A_4EF6L, 0x2F63_5E53_65AA_B3EDL, /* -215 */ 0x6E50_23BB_FAA0_E2B3L, 0x7B3C_35E8_3F15_60E9L, /* -214 */ 0x44F2_1655_7CA4_8DB0L, 0x3D05_A1B1_276D_5C92L, /* -213 */ 0x562E_9BEA_DBCD_B11CL, 0x4C47_0A1D_7148_B3B6L, /* -212 */ 0x6BBA_42E5_92C1_1D63L, 0x5F58_CCA4_CD9A_E0A3L, /* -211 */ 0x4354_69CF_7BB8_B25EL, 0x2B97_7FE7_0080_CC66L, /* -210 */ 0x5429_8443_5AA6_DEF5L, 0x767D_5FE0_C0A0_FF80L, /* -209 */ 0x6933_E554_3150_96B3L, 0x341C_B7D8_F0C9_3F5FL, /* -208 */ 0x41C0_6F54_9ED2_5E30L, 0x1091_F2E7_967D_C79CL, /* -207 */ 0x5230_8B29_C686_F5BCL, 0x14B6_6FA1_7C1D_3983L, /* -206 */ 0x66BC_ADF4_3828_B32BL, 0x19E4_0B89_DB24_87E3L, /* -205 */ 0x4035_ECB8_A319_6FFBL, 0x002E_8736_28F6_D4EEL, /* -204 */ 0x5043_67E6_CBDF_CBF9L, 0x603A_2903_B334_8A2AL, /* -203 */ 0x6454_41E0_7ED7_BEF8L, 0x1848_B344_A001_ACB4L, /* -202 */ 0x7D69_5258_9E8D_AEB6L, 0x1E5A_E015_C802_17E1L, /* -201 */ 0x4E61_D377_6318_8D31L, 0x72F8_CC0D_9D01_4EEDL, /* -200 */ 0x61FA_4855_3BDE_B07EL, 0x2FB6_FF11_0441_A2A8L, /* -199 */ 0x7A78_DA6A_8AD6_5C9DL, 0x7BA4_BED5_4552_0B52L, /* -198 */ 0x4C8B_8882_96C5_F9E2L, 0x5D46_F745_4B53_4713L, /* -197 */ 0x5FAE_6AA3_3C77_785BL, 0x3498_B516_9E28_18D8L, /* -196 */ 0x779A_054C_0B95_5672L, 0x21BE_E25C_45B2_1F0EL, /* -195 */ 0x4AC0_434F_873D_5607L, 0x3517_4D79_AB8F_5369L, /* -194 */ 0x5D70_5423_690C_AB89L, 0x225D_20D8_1673_2843L, /* -193 */ 0x74CC_692C_434F_D66BL, 0x4AF4_690E_1C0F_F253L, /* -192 */ 0x48FF_C1BB_AA11_E603L, 0x1ED8_C1A8_D189_F774L, /* -191 */ 0x5B3F_B22A_9496_5F84L, 0x068E_F213_05EC_7551L, /* -190 */ 0x720F_9EB5_39BB_F765L, 0x0832_AE97_C767_92A5L, /* -189 */ 0x4749_C331_4415_7A9FL, 0x151F_AD1E_DCA0_BBA8L, /* -188 */ 0x591C_33FD_951A_D946L, 0x7A67_9866_93C8_EA91L, /* -187 */ 0x6F63_40FC_FA61_8F98L, 0x5901_7E80_38BB_2536L, /* -186 */ 0x459E_089E_1C7C_F9BFL, 0x37A0_EF10_2374_F742L, /* -185 */ 0x5705_8AC5_A39C_382FL, 0x2589_2AD4_2C52_3512L, /* -184 */ 0x6CC6_ED77_0C83_463BL, 0x0EEB_7589_3766_C256L, /* -183 */ 0x43FC_546A_67D2_0BE4L, 0x7953_2975_C2A0_3976L, /* -182 */ 0x54FB_6985_01C6_8EDEL, 0x17A7_F3D3_3348_47D4L, /* -181 */ 0x6A3A_43E6_4238_3295L, 0x5D91_F0C8_001A_59C8L, /* -180 */ 0x4264_6A6F_E963_1F9DL, 0x4A7B_367D_0010_781DL, /* -179 */ 0x52FD_850B_E3BB_E784L, 0x7D1A_041C_4014_9625L, /* -178 */ 0x67BC_E64E_DCAA_E166L, 0x1C60_8523_5019_BBAEL, /* -177 */ 0x40D6_0FF1_49EA_CCDFL, 0x71BC_5336_1210_154DL, /* -176 */ 0x510B_93ED_9C65_8017L, 0x6E2B_6803_9694_1AA0L, /* -175 */ 0x654E_78E9_037E_E01DL, 0x69B6_4204_7C39_2148L, /* -174 */ 0x7EA2_1723_445E_9825L, 0x2423_D285_9B47_6999L, /* -173 */ 0x4F25_4E76_0ABB_1F17L, 0x2696_6393_810C_A200L, /* -172 */ 0x62EE_A213_8D69_E6DDL, 0x103B_FC78_614F_CA80L, /* -171 */ 0x7BAA_4A98_70C4_6094L, 0x344A_FB96_79A3_BD20L, /* -170 */ 0x4D4A_6E9F_467A_BC5CL, 0x60AE_DD3E_0C06_5634L, /* -169 */ 0x609D_0A47_1819_6B73L, 0x78DA_948D_8F07_EBC1L, /* -168 */ 0x78C4_4CD8_DE1F_C650L, 0x7711_39B0_F2C9_E6B1L, /* -167 */ 0x4B7A_B007_8AD3_DBF2L, 0x4A6A_C40E_97BE_302FL, /* -166 */ 0x5E59_5C09_6D88_D2EFL, 0x1D05_7512_3DAD_BC3AL, /* -165 */ 0x75EF_B30B_C8EB_07ABL, 0x0446_D256_CD19_2B49L, /* -164 */ 0x49B5_CFE7_5D92_E4CAL, 0x72AC_4376_402F_BB0EL, /* -163 */ 0x5C23_43E1_34F7_9DFDL, 0x4F57_5453_D03B_A9D1L, /* -162 */ 0x732C_14D9_8235_857DL, 0x032D_2968_C44A_9445L, /* -161 */ 0x47FB_8D07_F161_736EL, 0x11FC_39E1_7AAE_9CABL, /* -160 */ 0x59FA_7049_EDB9_D049L, 0x567B_4859_D95A_43D6L, /* -159 */ 0x7079_0C5C_6928_445CL, 0x0C1A_1A70_4FB0_D4CCL, /* -158 */ 0x464B_A7B9_C1B9_2AB9L, 0x4790_5086_31CE_84FFL, /* -157 */ 0x57DE_91A8_3227_7567L, 0x7974_64A7_BE42_263FL, /* -156 */ 0x6DD6_3612_3EB1_52C1L, 0x77D1_7DD1_ADD2_AFCFL, /* -155 */ 0x44A5_E1CB_672E_D3B9L, 0x1AE2_EEA3_0CA3_ADE1L, /* -154 */ 0x55CF_5A3E_40FA_88A7L, 0x419B_AA4B_CFCC_995AL, /* -153 */ 0x6B43_30CD_D139_2AD1L, 0x3202_94DE_C3BF_BFB0L, /* -152 */ 0x4309_FE80_A2C3_BAC2L, 0x6F41_9D0B_3A57_D7CEL, /* -151 */ 0x53CC_7E20_CB74_A973L, 0x4B12_044E_08ED_CDC2L, /* -150 */ 0x68BF_9DA8_FE51_D3D0L, 0x3DD6_8561_8B29_4132L, /* -149 */ 0x4177_C289_9EF3_2462L, 0x26A6_135C_F6F9_C8BFL, /* -148 */ 0x51D5_B32C_06AF_ED7AL, 0x704F_9834_34B8_3AEFL, /* -147 */ 0x664B_1FF7_085B_E8D9L, 0x4C63_7E41_41E6_49ABL, /* -146 */ 0x7FDD_E7F4_CA72_E30FL, 0x7F7C_5DD1_925F_DC15L, /* -145 */ 0x4FEA_B0F8_FE87_CDE9L, 0x7FAD_BAA2_FB7B_E98DL, /* -144 */ 0x63E5_5D37_3E29_C164L, 0x3F99_294B_BA5A_E3F1L, /* -143 */ 0x7CDE_B485_0DB4_31BDL, 0x4F7F_739E_A8F1_9CEDL, /* -142 */ 0x4E0B_30D3_2890_9F16L, 0x41AF_A843_2997_0214L, /* -141 */ 0x618D_FD07_F2B4_C6DCL, 0x121B_9253_F3FC_C299L, /* -140 */ 0x79F1_7C49_EF61_F893L, 0x16A2_76E8_F0FB_F33FL, /* -139 */ 0x4C36_EDAE_359D_3B5BL, 0x7E25_8A51_969D_7808L, /* -138 */ 0x5F44_A919_C304_8A32L, 0x7DAE_ECE5_FC44_D609L, /* -137 */ 0x7715_D360_33C5_ACBFL, 0x5D1A_A81F_7B56_0B8CL, /* -136 */ 0x4A6D_A41C_205B_8BF7L, 0x6A30_A913_AD15_C738L, /* -135 */ 0x5D09_0D23_2872_6EF5L, 0x64BC_D358_985B_3905L, /* -134 */ 0x744B_506B_F28F_0AB3L, 0x1DEC_082E_BE72_0746L, /* -133 */ 0x48AF_1243_7799_66B0L, 0x02B3_851D_3707_448CL, /* -132 */ 0x5ADA_D6D4_557F_C05CL, 0x0360_6664_84C9_15AFL, /* -131 */ 0x7191_8C89_6ADF_B073L, 0x0438_7FFD_A5FB_5B1BL, /* -130 */ 0x46FA_F7D5_E2CB_CE47L, 0x72A3_4FFE_87BD_18F1L, /* -129 */ 0x58B9_B5CB_5B7E_C1D9L, 0x6F4C_23FE_29AC_5F2DL, /* -128 */ 0x6EE8_233E_325E_7250L, 0x2B1F_2CFD_B417_76F8L, /* -127 */ 0x4551_1606_DF7B_0772L, 0x1AF3_7C1E_908E_AA5BL, /* -126 */ 0x56A5_5B88_9759_C94EL, 0x61B0_5B26_34B2_54F2L, /* -125 */ 0x6C4E_B26A_BD30_3BA2L, 0x3A1C_71EF_C1DE_EA2EL, /* -124 */ 0x43B1_2F82_B63E_2545L, 0x4451_C735_D92B_525DL, /* -123 */ 0x549D_7B63_63CD_AE96L, 0x7566_3903_4F76_26F4L, /* -122 */ 0x69C4_DA3C_3CC1_1A3CL, 0x52BF_C744_2353_B0B1L, /* -121 */ 0x421B_0865_A5F8_B065L, 0x73B7_DC8A_9614_4E6FL, /* -120 */ 0x52A1_CA7F_0F76_DC7FL, 0x30A5_D3AD_3B99_620BL, /* -119 */ 0x674A_3D1E_D354_939FL, 0x1CCF_4898_8A7F_BA8DL, /* -118 */ 0x408E_6633_4414_DC43L, 0x4201_8D5F_568F_D498L, /* -117 */ 0x50B1_FFC0_151A_1354L, 0x3281_F0B7_2C33_C9BEL, /* -116 */ 0x64DE_7FB0_1A60_9829L, 0x3F22_6CE4_F740_BC2EL, /* -115 */ 0x7E16_1F9C_20F8_BE33L, 0x6EEB_081E_3510_EB39L, /* -114 */ 0x4ECD_D3C1_949B_76E0L, 0x3552_E512_E12A_9304L, /* -113 */ 0x6281_48B1_F9C2_5498L, 0x42A7_9E57_9975_37C5L, /* -112 */ 0x7B21_9ADE_7832_E9BEL, 0x5351_85ED_7FD2_85B6L, /* -111 */ 0x4CF5_00CB_0B1F_D217L, 0x1412_F3B4_6FE3_9392L, /* -110 */ 0x6032_40FD_CDE7_C69CL, 0x7917_B0A1_8BDC_7876L, /* -109 */ 0x783E_D13D_4161_B844L, 0x175D_9CC9_EED3_9694L, /* -108 */ 0x4B27_42C6_48DD_132AL, 0x4E9A_81FE_3544_3E1CL, /* -107 */ 0x5DF1_1377_DB14_57F5L, 0x2241_227D_C295_4DA3L, /* -106 */ 0x756D_5855_D1D9_6DF2L, 0x4AD1_6B1D_333A_A10CL, /* -105 */ 0x4964_5735_A327_E4B7L, 0x4EC2_E2F2_4004_A4A8L, /* -104 */ 0x5BBD_6D03_0BF1_DDE5L, 0x4273_9BAE_D005_CDD2L, /* -103 */ 0x72AC_C843_CEEE_555EL, 0x7310_829A_8407_4146L, /* -102 */ 0x47AB_FD2A_6154_F55BL, 0x27EA_51A0_9284_88CCL, /* -101 */ 0x5996_FC74_F9AA_32B2L, 0x11E4_E608_B725_AAFFL, /* -100 */ 0x6FFC_BB92_3814_BF5EL, 0x565E_1F8A_E4EF_15BEL, /* -99 */ 0x45FD_F53B_630C_F79BL, 0x15FA_D3B6_CF15_6D97L, /* -98 */ 0x577D_728A_3BD0_3581L, 0x7B79_88A4_82DA_C8FDL, /* -97 */ 0x6D5C_CF2C_CAC4_42E2L, 0x3A57_EACD_A391_7B3CL, /* -96 */ 0x445A_017B_FEBA_A9CDL, 0x4476_F2C0_863A_ED06L, /* -95 */ 0x5570_81DA_FE69_5440L, 0x7594_AF70_A7C9_A847L, /* -94 */ 0x6ACC_A251_BE03_A951L, 0x12F9_DB4C_D1BC_1258L, /* -93 */ 0x42BF_E573_16C2_49D2L, 0x5BDC_2910_0315_8B77L, /* -92 */ 0x536F_DECF_DC72_DC47L, 0x32D3_3354_03DA_EE55L, /* -91 */ 0x684B_D683_D38F_9359L, 0x1F88_0029_04D1_A9EAL, /* -90 */ 0x412F_6612_6439_BC17L, 0x63B5_0019_A303_0A33L, /* -89 */ 0x517B_3F96_FD48_2B1DL, 0x5CA2_4020_0BC3_CCBFL, /* -88 */ 0x65DA_0F7C_BC9A_35E5L, 0x13CA_D028_0EB4_BFEFL, /* -87 */ 0x7F50_935B_EBC0_C35EL, 0x38BD_8432_1261_EFEBL, /* -86 */ 0x4F92_5C19_7358_7A1BL, 0x0376_729F_4B7D_35F3L, /* -85 */ 0x6376_F31F_D02E_98A1L, 0x6454_0F47_1E5C_836FL, /* -84 */ 0x7C54_AFE7_C43A_3ECAL, 0x1D69_1318_E5F3_A44BL, /* -83 */ 0x4DB4_EDF0_DAA4_673EL, 0x3261_ABEF_8FB8_46AFL, /* -82 */ 0x6122_296D_114D_810DL, 0x7EFA_16EB_73A6_585BL, /* -81 */ 0x796A_B3C8_55A0_E151L, 0x3EB8_9CA6_508F_EE71L, /* -80 */ 0x4BE2_B05D_3584_8CD2L, 0x7733_61E7_F259_F507L, /* -79 */ 0x5EDB_5C74_82E5_B007L, 0x5500_3A61_EEF0_7249L, /* -78 */ 0x7692_3391_A39F_1C09L, 0x4A40_48FA_6AAC_8EDBL, /* -77 */ 0x4A1B_603B_0643_7185L, 0x7E68_2D9C_82AB_D949L, /* -76 */ 0x5CA2_3849_C7D4_4DE7L, 0x3E02_3903_A356_CF9BL, /* -75 */ 0x73CA_C65C_39C9_6161L, 0x2D82_C744_8C2C_8382L, /* -74 */ 0x485E_BBF9_A41D_DCDCL, 0x6C71_BC8A_D79B_D231L, /* -73 */ 0x5A76_6AF8_0D25_5414L, 0x078E_2BAD_8D82_C6BDL, /* -72 */ 0x7114_05B6_106E_A919L, 0x0971_B698_F0E3_786DL, /* -71 */ 0x46AC_8391_CA45_29AFL, 0x55E7_121F_968E_2B44L, /* -70 */ 0x5857_A476_3CD6_741BL, 0x4B60_D6A7_7C31_B615L, /* -69 */ 0x6E6D_8D93_CC0C_1122L, 0x3E39_0C51_5B3E_239AL, /* -68 */ 0x4504_787C_5F87_8AB5L, 0x46E3_A7B2_D906_D640L, /* -67 */ 0x5645_969B_7769_6D62L, 0x789C_919F_8F48_8BD0L, /* -66 */ 0x6BD6_FC42_5543_C8BBL, 0x56C3_B607_731A_AEC4L, /* -65 */ 0x4366_5DA9_754A_5D75L, 0x263A_51C4_A7F0_AD3BL, /* -64 */ 0x543F_F513_D29C_F4D2L, 0x4FC8_E635_D1EC_D88AL, /* -63 */ 0x694F_F258_C744_3207L, 0x23BB_1FC3_4668_0EACL, /* -62 */ 0x41D1_F777_7C8A_9F44L, 0x4654_F3DA_0C01_092CL, /* -61 */ 0x5246_7555_5BAD_4715L, 0x57EA_30D0_8F01_4B76L, /* -60 */ 0x66D8_12AA_B298_98DBL, 0x0DE4_BD04_B2C1_9E54L, /* -59 */ 0x4047_0BAA_AF9F_5F88L, 0x78AE_F622_EFB9_02F5L, /* -58 */ 0x5058_CE95_5B87_376BL, 0x16DA_B3AB_ABA7_43B2L, /* -57 */ 0x646F_023A_B269_0545L, 0x7C91_6096_9691_149EL, /* -56 */ 0x7D8A_C2C9_5F03_4697L, 0x3BB5_B8BC_3C35_59C5L, /* -55 */ 0x4E76_B9BD_DB62_0C1EL, 0x5551_9375_A5A1_581BL, /* -54 */ 0x6214_682D_523A_8F26L, 0x2AA5_F853_0F09_AE22L, /* -53 */ 0x7A99_8238_A6C9_32EFL, 0x754F_7667_D2CC_19ABL, /* -52 */ 0x4C9F_F163_683D_BFD5L, 0x7951_AA00_E3BF_900BL, /* -51 */ 0x5FC7_EDBC_424D_2FCBL, 0x37A6_1481_1CAF_740DL, /* -50 */ 0x77B9_E92B_52E0_7BBEL, 0x258F_99A1_63DB_5111L, /* -49 */ 0x4AD4_31BB_13CC_4D56L, 0x7779_C004_DE69_12ABL, /* -48 */ 0x5D89_3E29_D8BF_60ACL, 0x5558_3006_1603_5755L, /* -47 */ 0x74EB_8DB4_4EEF_38D7L, 0x6AAE_3C07_9B84_2D2AL, /* -46 */ 0x4913_3890_B155_8386L, 0x72AC_E584_C132_9C3BL, /* -45 */ 0x5B58_06B4_DDAA_E468L, 0x4F58_1EE5_F17F_4349L, /* -44 */ 0x722E_0862_1515_9D82L, 0x632E_269F_6DDF_141BL, /* -43 */ 0x475C_C53D_4D2D_8271L, 0x5DFC_D823_A4AB_6C91L, /* -42 */ 0x5933_F68C_A078_E30EL, 0x157C_0E2C_8DD6_47B5L, /* -41 */ 0x6F80_F42F_C897_1BD1L, 0x5ADB_11B7_B14B_D9A3L, /* -40 */ 0x45B0_989D_DD5E_7163L, 0x08C8_EB12_CECF_6806L, /* -39 */ 0x571C_BEC5_54B6_0DBBL, 0x6AFB_25D7_8283_4207L, /* -38 */ 0x6CE3_EE76_A9E3_912AL, 0x65B9_EF4D_6324_1289L, /* -37 */ 0x440E_750A_2A2E_3ABAL, 0x5F94_3590_5DF6_8B96L, /* -36 */ 0x5512_124C_B4B9_C969L, 0x3779_42F4_7574_2E7BL, /* -35 */ 0x6A56_96DF_E1E8_3BC3L, 0x6557_93B1_92D1_3A1AL, /* -34 */ 0x4276_1E4B_ED31_255AL, 0x2F56_BC4E_FBC2_C450L, /* -33 */ 0x5313_A5DE_E87D_6EB0L, 0x7B2C_6B62_BAB3_7564L, /* -32 */ 0x67D8_8F56_A29C_CA5DL, 0x19F7_863B_6960_52BDL, /* -31 */ 0x40E7_5996_25A1_FE7AL, 0x203A_B3E5_21DC_33B6L, /* -30 */ 0x5121_2FFB_AF0A_7E18L, 0x6849_60DE_6A53_40A4L, /* -29 */ 0x6569_7BFA_9ACD_1D9FL, 0x025B_B916_04E8_10CDL, /* -28 */ 0x7EC3_DAF9_4180_6506L, 0x62F2_A75B_8622_1500L, /* -27 */ 0x4F3A_68DB_C8F0_3F24L, 0x1DD7_A899_33D5_4D20L, /* -26 */ 0x6309_0312_BB2C_4EEDL, 0x254D_92BF_80CA_A068L, /* -25 */ 0x7BCB_43D7_69F7_62A8L, 0x4EA0_F76F_60FD_4882L, /* -24 */ 0x4D5F_0A66_A23A_9DA9L, 0x3124_9AA5_9C9E_4D51L, /* -23 */ 0x60B6_CD00_4AC9_4513L, 0x5D6D_C14F_03C5_E0A5L, /* -22 */ 0x78E4_8040_5D7B_9658L, 0x54C9_31A2_C4B7_58CFL, /* -21 */ 0x4B8E_D028_3A6D_3DF7L, 0x34FD_BF05_BAF2_9781L, /* -20 */ 0x5E72_8432_4908_8D75L, 0x223D_2EC7_29AF_3D62L, /* -19 */ 0x760F_253E_DB4A_B0D2L, 0x4ACC_7A78_F41B_0CBAL, /* -18 */ 0x49C9_7747_490E_AE83L, 0x4EBF_CC8B_9890_E7F4L, /* -17 */ 0x5C3B_D519_1B52_5A24L, 0x426F_BFAE_7EB5_21F1L, /* -16 */ 0x734A_CA5F_6226_F0ADL, 0x530B_AF9A_1E62_6A6DL, /* -15 */ 0x480E_BE7B_9D58_566CL, 0x43E7_4DC0_52FD_8285L, /* -14 */ 0x5A12_6E1A_84AE_6C07L, 0x54E1_2130_67BC_E326L, /* -13 */ 0x7097_09A1_25DA_0709L, 0x4A19_697C_81AC_1BEFL, /* -12 */ 0x465E_6604_B7A8_4465L, 0x7E4F_E1ED_D10B_9175L, /* -11 */ 0x57F5_FF85_E592_557FL, 0x3DE3_DA69_454E_75D3L, /* -10 */ 0x6DF3_7F67_5EF6_EADFL, 0x2D5C_D103_96A2_1347L, /* -9 */ 0x44B8_2FA0_9B5A_52CBL, 0x4C5A_02A2_3E25_4C0DL, /* -8 */ 0x55E6_3B88_C230_E77EL, 0x3F70_834A_CDAE_9F10L, /* -7 */ 0x6B5F_CA6A_F2BD_215EL, 0x0F4C_A41D_811A_46D4L, /* -6 */ 0x431B_DE82_D7B6_34DAL, 0x698F_E692_70B0_6C44L, /* -5 */ 0x53E2_D623_8DA3_C211L, 0x43F3_E037_0CDC_8755L, /* -4 */ 0x68DB_8BAC_710C_B295L, 0x74F0_D844_D013_A92BL, /* -3 */ 0x4189_374B_C6A7_EF9DL, 0x5916_872B_020C_49BBL, /* -2 */ 0x51EB_851E_B851_EB85L, 0x0F5C_28F5_C28F_5C29L, /* -1 */ 0x6666_6666_6666_6666L, 0x3333_3333_3333_3334L, /* 0 */ 0x4000_0000_0000_0000L, 0x0000_0000_0000_0000L, /* 1 */ 0x5000_0000_0000_0000L, 0x0000_0000_0000_0000L, /* 2 */ 0x6400_0000_0000_0000L, 0x0000_0000_0000_0000L, /* 3 */ 0x7D00_0000_0000_0000L, 0x0000_0000_0000_0000L, /* 4 */ 0x4E20_0000_0000_0000L, 0x0000_0000_0000_0000L, /* 5 */ 0x61A8_0000_0000_0000L, 0x0000_0000_0000_0000L, /* 6 */ 0x7A12_0000_0000_0000L, 0x0000_0000_0000_0000L, /* 7 */ 0x4C4B_4000_0000_0000L, 0x0000_0000_0000_0000L, /* 8 */ 0x5F5E_1000_0000_0000L, 0x0000_0000_0000_0000L, /* 9 */ 0x7735_9400_0000_0000L, 0x0000_0000_0000_0000L, /* 10 */ 0x4A81_7C80_0000_0000L, 0x0000_0000_0000_0000L, /* 11 */ 0x5D21_DBA0_0000_0000L, 0x0000_0000_0000_0000L, /* 12 */ 0x746A_5288_0000_0000L, 0x0000_0000_0000_0000L, /* 13 */ 0x48C2_7395_0000_0000L, 0x0000_0000_0000_0000L, /* 14 */ 0x5AF3_107A_4000_0000L, 0x0000_0000_0000_0000L, /* 15 */ 0x71AF_D498_D000_0000L, 0x0000_0000_0000_0000L, /* 16 */ 0x470D_E4DF_8200_0000L, 0x0000_0000_0000_0000L, /* 17 */ 0x58D1_5E17_6280_0000L, 0x0000_0000_0000_0000L, /* 18 */ 0x6F05_B59D_3B20_0000L, 0x0000_0000_0000_0000L, /* 19 */ 0x4563_9182_44F4_0000L, 0x0000_0000_0000_0000L, /* 20 */ 0x56BC_75E2_D631_0000L, 0x0000_0000_0000_0000L, /* 21 */ 0x6C6B_935B_8BBD_4000L, 0x0000_0000_0000_0000L, /* 22 */ 0x43C3_3C19_3756_4800L, 0x0000_0000_0000_0000L, /* 23 */ 0x54B4_0B1F_852B_DA00L, 0x0000_0000_0000_0000L, /* 24 */ 0x69E1_0DE7_6676_D080L, 0x0000_0000_0000_0000L, /* 25 */ 0x422C_A8B0_A00A_4250L, 0x0000_0000_0000_0000L, /* 26 */ 0x52B7_D2DC_C80C_D2E4L, 0x0000_0000_0000_0000L, /* 27 */ 0x6765_C793_FA10_079DL, 0x0000_0000_0000_0000L, /* 28 */ 0x409F_9CBC_7C4A_04C2L, 0x1000_0000_0000_0000L, /* 29 */ 0x50C7_83EB_9B5C_85F2L, 0x5400_0000_0000_0000L, /* 30 */ 0x64F9_64E6_8233_A76FL, 0x2900_0000_0000_0000L, /* 31 */ 0x7E37_BE20_22C0_914BL, 0x1340_0000_0000_0000L, /* 32 */ 0x4EE2_D6D4_15B8_5ACEL, 0x7C08_0000_0000_0000L, /* 33 */ 0x629B_8C89_1B26_7182L, 0x5B0A_0000_0000_0000L, /* 34 */ 0x7B42_6FAB_61F0_0DE3L, 0x31CC_8000_0000_0000L, /* 35 */ 0x4D09_85CB_1D36_08AEL, 0x0F1F_D000_0000_0000L, /* 36 */ 0x604B_E73D_E483_8AD9L, 0x52E7_C400_0000_0000L, /* 37 */ 0x785E_E10D_5DA4_6D90L, 0x07A1_B500_0000_0000L, /* 38 */ 0x4B3B_4CA8_5A86_C47AL, 0x04C5_1120_0000_0000L, /* 39 */ 0x5E0A_1FD2_7128_7598L, 0x45F6_5568_0000_0000L, /* 40 */ 0x758C_A7C7_0D72_92FEL, 0x5773_EAC2_0000_0000L, /* 41 */ 0x4977_E8DC_6867_9BDFL, 0x16A8_72B9_4000_0000L, /* 42 */ 0x5BD5_E313_8281_82D6L, 0x7C52_8F67_9000_0000L, /* 43 */ 0x72CB_5BD8_6321_E38CL, 0x5B67_3341_7400_0000L, /* 44 */ 0x47BF_1967_3DF5_2E37L, 0x7920_8008_E880_0000L, /* 45 */ 0x59AE_DFC1_0D72_79C5L, 0x7768_A00B_22A0_0000L, /* 46 */ 0x701A_97B1_50CF_1837L, 0x3542_C80D_EB48_0000L, /* 47 */ 0x4610_9ECE_D281_6F22L, 0x5149_BD08_B30D_0000L, /* 48 */ 0x5794_C682_8721_CAEBL, 0x259C_2C4A_DFD0_4000L, /* 49 */ 0x6D79_F823_28EA_3DA6L, 0x0F03_375D_97C4_5000L, /* 50 */ 0x446C_3B15_F992_6687L, 0x6962_029A_7EDA_B200L, /* 51 */ 0x5587_49DB_77F7_0029L, 0x63BA_8341_1E91_5E80L, /* 52 */ 0x6AE9_1C52_55F4_C034L, 0x1CA9_2411_6635_B620L, /* 53 */ 0x42D1_B1B3_75B8_F820L, 0x51E9_B68A_DFE1_91D4L, /* 54 */ 0x5386_1E20_5327_3628L, 0x6664_242D_97D9_F649L, /* 55 */ 0x6867_A5A8_67F1_03B2L, 0x7FFD_2D38_FDD0_73DCL, /* 56 */ 0x4140_C789_40F6_A24FL, 0x6FFE_3C43_9EA2_486AL, /* 57 */ 0x5190_F96B_9134_4AE3L, 0x6BFD_CB54_864A_DA84L, /* 58 */ 0x65F5_37C6_7581_5D9CL, 0x66FD_3E29_A7DD_9125L, /* 59 */ 0x7F72_85B8_12E1_B504L, 0x00BC_8DB4_11D4_F56EL, /* 60 */ 0x4FA7_9393_0BCD_1122L, 0x4075_D890_8B25_1965L, /* 61 */ 0x6391_7877_CEC0_556BL, 0x1093_4EB4_ADEE_5FBEL, /* 62 */ 0x7C75_D695_C270_6AC5L, 0x74B8_2261_D969_F7ADL, /* 63 */ 0x4DC9_A61D_9986_42BBL, 0x58F3_157D_27E2_3ACCL, /* 64 */ 0x613C_0FA4_FFE7_D36AL, 0x4F2F_DADC_71DA_C97FL, /* 65 */ 0x798B_138E_3FE1_C845L, 0x22FB_D193_8E51_7BDFL, /* 66 */ 0x4BF6_EC38_E7ED_1D2BL, 0x25DD_62FC_38F2_ED6CL, /* 67 */ 0x5EF4_A747_21E8_6476L, 0x0F54_BBBB_472F_A8C6L, /* 68 */ 0x76B1_D118_EA62_7D93L, 0x5329_EAAA_18FB_92F8L, /* 69 */ 0x4A2F_22AF_927D_8E7CL, 0x23FA_32AA_4F9D_3BDBL, /* 70 */ 0x5CBA_EB5B_771C_F21BL, 0x2CF8_BF54_E384_8AD2L, /* 71 */ 0x73E9_A632_54E4_2EA2L, 0x1836_EF2A_1C65_AD86L, /* 72 */ 0x4872_07DF_750E_9D25L, 0x2F22_557A_51BF_8C74L, /* 73 */ 0x5A8E_89D7_5252_446EL, 0x5AEA_EAD8_E62F_6F91L, /* 74 */ 0x7132_2C4D_26E6_D58AL, 0x31A5_A58F_1FBB_4B75L, /* 75 */ 0x46BF_5BB0_3850_4576L, 0x3F07_8779_73D5_0F29L, /* 76 */ 0x586F_329C_4664_56D4L, 0x0EC9_6957_D0CA_52F3L, /* 77 */ 0x6E8A_FF43_57FD_6C89L, 0x127B_C3AD_C4FC_E7B0L, /* 78 */ 0x4516_DF8A_16FE_63D5L, 0x5B8D_5A4C_9B1E_10CEL, /* 79 */ 0x565C_976C_9CBD_FCCBL, 0x1270_B0DF_C1E5_9502L, /* 80 */ 0x6BF3_BD47_C3ED_7BFDL, 0x770C_DD17_B25E_FA42L, /* 81 */ 0x4378_564C_DA74_6D7EL, 0x5A68_0A2E_CF7B_5C69L, /* 82 */ 0x5456_6BE0_1111_88DEL, 0x3102_0CBA_835A_3384L, /* 83 */ 0x696C_06D8_1555_EB15L, 0x7D42_8FE9_2430_C065L, /* 84 */ 0x41E3_8447_0D55_B2EDL, 0x5E49_99F1_B69E_783FL, /* 85 */ 0x525C_6558_D0AB_1FA9L, 0x15DC_006E_2446_164FL, /* 86 */ 0x66F3_7EAF_04D5_E793L, 0x3B53_0089_AD57_9BE2L, /* 87 */ 0x4058_2F2D_6305_B0BCL, 0x1513_E056_0C56_C16EL, /* 88 */ 0x506E_3AF8_BBC7_1CEBL, 0x1A58_D86B_8F6C_71C9L, /* 89 */ 0x6489_C9B6_EAB8_E426L, 0x00EF_0E86_7347_8E3BL, /* 90 */ 0x7DAC_3C24_A567_1D2FL, 0x412A_D228_1019_71C9L, /* 91 */ 0x4E8B_A596_E760_723DL, 0x58BA_C359_0A0F_E71EL, /* 92 */ 0x622E_8EFC_A138_8ECDL, 0x0EE9_742F_4C93_E0E6L, /* 93 */ 0x7ABA_32BB_C986_B280L, 0x32A3_D13B_1FB8_D91FL, /* 94 */ 0x4CB4_5FB5_5DF4_2F90L, 0x1FA6_62C4_F3D3_87B3L, /* 95 */ 0x5FE1_77A2_B571_3B74L, 0x278F_FB76_30C8_69A0L, /* 96 */ 0x77D9_D58B_62CD_8A51L, 0x3173_FA53_BCFA_8408L, /* 97 */ 0x4AE8_2577_1DC0_7672L, 0x6EE8_7C74_561C_9285L, /* 98 */ 0x5DA2_2ED4_E530_940FL, 0x4AA2_9B91_6BA3_B726L, /* 99 */ 0x750A_BA8A_1E7C_B913L, 0x3D4B_4275_C68C_A4F0L, /* 100 */ 0x4926_B496_530D_F3ACL, 0x164F_0989_9C17_E716L, /* 101 */ 0x5B70_61BB_E7D1_7097L, 0x1BE2_CBEC_031D_E0DCL, /* 102 */ 0x724C_7A2A_E1C5_CCBDL, 0x02DB_7EE7_03E5_5912L, /* 103 */ 0x476F_CC5A_CD1B_9FF6L, 0x11C9_2F50_626F_57ACL, /* 104 */ 0x594B_BF71_8062_87F3L, 0x563B_7B24_7B0B_2D96L, /* 105 */ 0x6F9E_AF4D_E07B_29F0L, 0x4BCA_59ED_99CD_F8FCL, /* 106 */ 0x45C3_2D90_AC4C_FA36L, 0x2F5E_7834_8020_BB9EL, /* 107 */ 0x5733_F8F4_D760_38C3L, 0x7B36_1641_A028_EA85L, /* 108 */ 0x6D00_F732_0D38_46F4L, 0x7A03_9BD2_0833_2526L, /* 109 */ 0x4420_9A7F_4843_2C59L, 0x0C42_4163_451F_F738L, /* 110 */ 0x5528_C11F_1A53_F76FL, 0x2F52_D1BC_1667_F506L, /* 111 */ 0x6A72_F166_E0E8_F54BL, 0x1B27_862B_1C01_F247L, /* 112 */ 0x4287_D6E0_4C91_994FL, 0x00F8_B3DA_F181_376DL, /* 113 */ 0x5329_CC98_5FB5_FFA2L, 0x6136_E0D1_ADE1_8548L, /* 114 */ 0x67F4_3FBE_77A3_7F8BL, 0x3984_9906_1959_E699L, /* 115 */ 0x40F8_A7D7_0AC6_2FB7L, 0x13F2_DFA3_CFD8_3020L, /* 116 */ 0x5136_D1CC_CD77_BBA4L, 0x78EF_978C_C3CE_3C28L, /* 117 */ 0x6584_8640_00D5_AA8EL, 0x172B_7D6F_F4C1_CB32L, /* 118 */ 0x7EE5_A7D0_010B_1531L, 0x5CF6_5CCB_F1F2_3DFEL, /* 119 */ 0x4F4F_88E2_00A6_ED3FL, 0x0A19_F9FF_7737_66BFL, /* 120 */ 0x6323_6B1A_80D0_A88EL, 0x6CA0_787F_5505_406FL, /* 121 */ 0x7BEC_45E1_2104_D2B2L, 0x47C8_969F_2A46_908AL, /* 122 */ 0x4D73_ABAC_B4A3_03AFL, 0x4CDD_5E23_7A6C_1A57L, /* 123 */ 0x60D0_9697_E1CB_C49BL, 0x4014_B5AC_5907_20ECL, /* 124 */ 0x7904_BC3D_DA3E_B5C2L, 0x3019_E317_6F48_E927L, /* 125 */ 0x4BA2_F5A6_A867_3199L, 0x3E10_2DEE_A58D_91B9L, /* 126 */ 0x5E8B_B310_5280_FDFFL, 0x6D94_396A_4EF0_F627L, /* 127 */ 0x762E_9FD4_6721_3D7FL, 0x68F9_47C4_E2AD_33B0L, /* 128 */ 0x49DD_23E4_C074_C66FL, 0x719B_CCDB_0DAC_404EL, /* 129 */ 0x5C54_6CDD_F091_F80BL, 0x6E02_C011_D117_5062L, /* 130 */ 0x7369_8815_6CB6_760EL, 0x6983_7016_455D_247AL, /* 131 */ 0x4821_F50D_63F2_09C9L, 0x21F2_260D_EB5A_36CCL, /* 132 */ 0x5A2A_7250_BCEE_8C3BL, 0x4A6E_AF91_6630_C47FL, /* 133 */ 0x70B5_0EE4_EC2A_2F4AL, 0x3D0A_5B75_BFBC_F59FL, /* 134 */ 0x4671_294F_139A_5D8EL, 0x4626_7929_97D6_1984L, /* 135 */ 0x580D_73A2_D880_F4F2L, 0x17B0_1773_FDCB_9FE4L, /* 136 */ 0x6E10_D08B_8EA1_322EL, 0x5D9C_1D50_FD3E_87DDL, /* 137 */ 0x44CA_8257_3924_BF5DL, 0x1A81_9252_9E47_14EBL, /* 138 */ 0x55FD_22ED_076D_EF34L, 0x4121_F6E7_45D8_DA25L, /* 139 */ 0x6B7C_6BA8_4949_6B01L, 0x516A_74A1_174F_10AEL, /* 140 */ 0x432D_C349_2DCD_E2E1L, 0x02E2_88E4_AE91_6A6DL, /* 141 */ 0x53F9_341B_7941_5B99L, 0x239B_2B1D_DA35_C508L, /* 142 */ 0x68F7_8122_5791_B27FL, 0x4C81_F5E5_50C3_364AL, /* 143 */ 0x419A_B0B5_76BB_0F8FL, 0x5FD1_39AF_527A_01EFL, /* 144 */ 0x5201_5CE2_D469_D373L, 0x57C5_881B_2718_826AL, /* 145 */ 0x6681_B41B_8984_4850L, 0x4DB6_EA21_F0DE_A304L, /* 146 */ 0x4011_1091_35F2_AD32L, 0x3092_5255_368B_25E3L, /* 147 */ 0x5015_54B5_836F_587EL, 0x7CB6_E6EA_842D_EF5CL, /* 148 */ 0x641A_A9E2_E44B_2E9EL, 0x5BE4_A0A5_2539_6B32L, /* 149 */ 0x7D21_545B_9D5D_FA46L, 0x32DD_C8CE_6E87_C5FFL, /* 150 */ 0x4E34_D4B9_425A_BC6BL, 0x7FCA_9D81_0514_DBBFL, /* 151 */ 0x61C2_09E7_92F1_6B86L, 0x7FBD_44E1_465A_12AFL, /* 152 */ 0x7A32_8C61_77AD_C668L, 0x5FAC_9619_97F0_975BL, /* 153 */ 0x4C5F_97BC_EACC_9C01L, 0x3BCB_DDCF_FEF6_5E99L, /* 154 */ 0x5F77_7DAC_257F_C301L, 0x6ABE_D543_FEB3_F63FL, /* 155 */ 0x7755_5D17_2EDF_B3C2L, 0x256E_8A94_FE60_F3CFL, /* 156 */ 0x4A95_5A2E_7D4B_D059L, 0x3765_169D_1EFC_9861L, /* 157 */ 0x5D3A_B0BA_1C9E_C46FL, 0x653E_5C44_66BB_BE7AL, /* 158 */ 0x7489_5CE8_A3C6_758BL, 0x5E8D_F355_806A_AE18L, /* 159 */ 0x48D5_DA11_665C_0977L, 0x2B18_B815_7042_ACCFL, /* 160 */ 0x5B0B_5095_BFF3_0BD5L, 0x15DE_E61A_CC53_5803L, /* 161 */ 0x71CE_24BB_2FEF_CECAL, 0x3B56_9FA1_7F68_2E03L, /* 162 */ 0x4720_D6F4_FDF5_E13EL, 0x4516_23C4_EFA1_1CC2L, /* 163 */ 0x58E9_0CB2_3D73_598EL, 0x165B_ACB6_2B89_63F3L, /* 164 */ 0x6F23_4FDE_CCD0_2FF1L, 0x5BF2_97E3_B66B_BCEFL, /* 165 */ 0x4576_11EB_4002_1DF7L, 0x0977_9EEE_5203_5616L, /* 166 */ 0x56D3_9666_1002_A574L, 0x6BD5_86A9_E684_2B9BL, /* 167 */ 0x6C88_7BFF_9403_4ED2L, 0x06CA_E854_6025_3682L, /* 168 */ 0x43D5_4D7F_BC82_1143L, 0x243E_D134_BC17_4211L, /* 169 */ 0x54CA_A0DF_ABA2_9594L, 0x0D4E_8581_EB1D_1295L, /* 170 */ 0x69FD_4917_968B_3AF9L, 0x10A2_26E2_65E4_573BL, /* 171 */ 0x423E_4DAE_BE17_04DBL, 0x5A65_584D_7FAE_B685L, /* 172 */ 0x52CD_E11A_6D9C_C612L, 0x50FE_AE60_DF9A_6426L, /* 173 */ 0x6781_5961_0903_F797L, 0x253E_59F9_1780_FD2FL, /* 174 */ 0x40B0_D7DC_A5A2_7ABEL, 0x4746_F83B_AEB0_9E3EL, /* 175 */ 0x50DD_0DD3_CF0B_196EL, 0x1918_B64A_9A5C_C5CDL, /* 176 */ 0x6514_5148_C2CD_DFC9L, 0x5F5E_E3DD_40F3_F740L, /* 177 */ 0x7E59_659A_F381_57BCL, 0x1736_9CD4_9130_F510L, /* 178 */ 0x4EF7_DF80_D830_D6D5L, 0x4E82_2204_DABE_992AL, /* 179 */ 0x62B5_D761_0E3D_0C8BL, 0x0222_AA86_116E_3F75L, /* 180 */ 0x7B63_4D39_51CC_4FADL, 0x62AB_5527_95C9_CF52L, /* 181 */ 0x4D1E_1043_D31F_B1CCL, 0x4DAB_1538_BD9E_2193L, /* 182 */ 0x6065_9454_C7E7_9E3FL, 0x6115_DA86_ED05_A9F8L, /* 183 */ 0x787E_F969_F9E1_85CFL, 0x595B_5128_A847_1476L, /* 184 */ 0x4B4F_5BE2_3C2C_F3A1L, 0x67D9_12B9_692C_6CCAL, /* 185 */ 0x5E23_32DA_CB38_308AL, 0x21CF_5767_C377_87FCL, /* 186 */ 0x75AB_FF91_7E06_3CACL, 0x6A43_2D41_B455_69FBL, /* 187 */ 0x498B_7FBA_EEC3_E5ECL, 0x0269_FC49_10B5_623DL, /* 188 */ 0x5BEE_5FA9_AA74_DF67L, 0x0304_7B5B_54E2_BACCL, /* 189 */ 0x72E9_F794_1512_1740L, 0x63C5_9A32_2A1B_697FL, /* 190 */ 0x47D2_3ABC_8D2B_4E88L, 0x3E5B_805F_5A51_21F0L, /* 191 */ 0x59C6_C96B_B076_222AL, 0x4DF2_6077_30E5_6A6CL, /* 192 */ 0x7038_7BC6_9C93_AAB5L, 0x216E_F894_FD1E_C506L, /* 193 */ 0x4623_4D5C_21DC_4AB1L, 0x24E5_5B5D_1E33_3B24L, /* 194 */ 0x57AC_20B3_2A53_5D5DL, 0x4E1E_B234_65C0_09EDL, /* 195 */ 0x6D97_28DF_F4E8_34B5L, 0x01A6_5EC1_7F30_0C68L, /* 196 */ 0x447E_798B_F911_20F1L, 0x1107_FB38_EF7E_07C1L, /* 197 */ 0x559E_17EE_F755_692DL, 0x3549_FA07_2B5D_89B1L, /* 198 */ 0x6B05_9DEA_B52A_C378L, 0x629C_7888_F634_EC1EL, /* 199 */ 0x42E3_82B2_B13A_BA2BL, 0x3DA1_CB55_99E1_1393L, /* 200 */ 0x539C_635F_5D89_68B6L, 0x2D0A_3E2B_0059_5877L, /* 201 */ 0x6883_7C37_34EB_C2E3L, 0x784C_CDB5_C06F_AE95L, /* 202 */ 0x4152_2DA2_8113_59CEL, 0x3B30_0091_9845_CD1DL, /* 203 */ 0x51A6_B90B_2158_3042L, 0x09FC_00B5_FE57_4065L, /* 204 */ 0x6610_674D_E9AE_3C52L, 0x4C7B_00E3_7DED_107EL, /* 205 */ 0x7F94_8121_6419_CB67L, 0x1F99_C11C_5D68_549DL, /* 206 */ 0x4FBC_D0B4_DE90_1F20L, 0x43C0_18B1_BA61_34E2L, /* 207 */ 0x63AC_04E2_1634_26E8L, 0x54B0_1EDE_28F9_821BL, /* 208 */ 0x7C97_061A_9BC1_30A2L, 0x69DC_2695_B337_E2A1L, /* 209 */ 0x4DDE_63D0_A158_BE65L, 0x6229_981D_9002_EDA5L, /* 210 */ 0x6155_FCC4_C9AE_EDFFL, 0x1AB3_FE24_F403_A90EL, /* 211 */ 0x79AB_7BF5_FC1A_A97FL, 0x0160_FDAE_3104_9351L, /* 212 */ 0x4C0B_2D79_BD90_A9EFL, 0x30DC_9E8C_DEA2_DC13L, /* 213 */ 0x5F0D_F8D8_2CF4_D46BL, 0x1D13_C630_164B_9318L, /* 214 */ 0x76D1_770E_3832_0986L, 0x0458_B7BC_1BDE_77DDL, /* 215 */ 0x4A42_EA68_E31F_45F3L, 0x62B7_72D5_916B_0AEBL, /* 216 */ 0x5CD3_A503_1BE7_1770L, 0x5B65_4F8A_F5C5_CDA5L, /* 217 */ 0x7408_8E43_E2E0_DD4CL, 0x723E_A36D_B337_410EL, /* 218 */ 0x4885_58EA_6DCC_8A50L, 0x0767_2624_9002_88A9L, /* 219 */ 0x5AA6_AF25_093F_ACE4L, 0x0940_EFAD_B403_2AD3L, /* 220 */ 0x7150_5AEE_4B8F_981DL, 0x0B91_2B99_2103_F588L, /* 221 */ 0x46D2_38D4_EF39_BF12L, 0x173A_BB3F_B4A2_7975L, /* 222 */ 0x5886_C70A_2B08_2ED6L, 0x5D09_6A0F_A1CB_17D2L, /* 223 */ 0x6EA8_78CC_B5CA_3A8CL, 0x344B_C493_8A3D_DDC7L, /* 224 */ 0x4529_4B7F_F19E_6497L, 0x60AF_5ADC_3666_AA9CL, /* 225 */ 0x5673_9E5F_EE05_FDBDL, 0x58DB_3193_4400_5543L, /* 226 */ 0x6C10_85F7_E987_7D2DL, 0x0F11_FDF8_1500_6A94L, /* 227 */ 0x438A_53BA_F1F4_AE3CL, 0x196B_3EBB_0D20_429DL, /* 228 */ 0x546C_E8A9_AE71_D9CBL, 0x1FC6_0E69_D068_5344L, /* 229 */ 0x6988_22D4_1A0E_503EL, 0x07B7_9204_4482_6815L, /* 230 */ 0x41F5_15C4_9048_F226L, 0x64D2_BB42_AAD1_810DL, /* 231 */ 0x5272_5B35_B45B_2EB0L, 0x3E07_6A13_5585_E150L, /* 232 */ 0x670E_F203_2171_FA5CL, 0x4D89_4498_2AE7_59A4L, /* 233 */ 0x4069_5741_F4E7_3C79L, 0x7075_CADF_1AD0_9807L, /* 234 */ 0x5083_AD12_7221_0B98L, 0x2C93_3D96_E184_BE08L, /* 235 */ 0x64A4_9857_0EA9_4E7EL, 0x37B8_0CFC_99E5_ED8AL, /* 236 */ 0x7DCD_BE6C_D253_A21EL, 0x05A6_103B_C05F_68EDL, /* 237 */ 0x4EA0_9704_0374_4552L, 0x6387_CA25_583B_A194L, /* 238 */ 0x6248_BCC5_0451_56A7L, 0x3C69_BCAE_AE4A_89F9L, /* 239 */ 0x7ADA_EBF6_4565_AC51L, 0x2B84_2BDA_59DD_2C77L, /* 240 */ 0x4CC8_D379_EB5F_8BB2L, 0x6B32_9B68_782A_3BCBL, /* 241 */ 0x5FFB_0858_6637_6E9FL, 0x45FF_4242_9634_CABDL, /* 242 */ 0x77F9_CA6E_7FC5_4A47L, 0x377F_12D3_3BC1_FD6DL, /* 243 */ 0x4AFC_1E85_0FDB_4E6CL, 0x52AF_6BC4_0559_3E64L, /* 244 */ 0x5DBB_2626_53D2_2207L, 0x675B_46B5_06AF_8DFDL, /* 245 */ 0x7529_EFAF_E8C6_AA89L, 0x6132_1862_485B_717CL, /* 246 */ 0x493A_35CD_F17C_2A96L, 0x0CBF_4F3D_6D39_26EEL, /* 247 */ 0x5B88_C341_6DDB_353BL, 0x4FEF_230C_C887_70A9L, /* 248 */ 0x726A_F411_C952_028AL, 0x43EA_EBCF_FAA9_4CD3L, /* 249 */ 0x4782_D88B_1DD3_4196L, 0x4A72_D361_FCA9_D004L, /* 250 */ 0x5963_8EAD_E548_11FCL, 0x1D0F_883A_7BD4_4405L, /* 251 */ 0x6FBC_7259_5E9A_167BL, 0x2453_6A49_1AC9_5506L, /* 252 */ 0x45D5_C777_DB20_4E0DL, 0x06B4_226D_B0BD_D524L, /* 253 */ 0x574B_3955_D1E8_6190L, 0x2861_2B09_1CED_4A6DL, /* 254 */ 0x6D1E_07AB_4662_79F4L, 0x3279_75CB_6428_9D08L, /* 255 */ 0x4432_C4CB_0BFD_8C38L, 0x5F8B_E99F_1E99_6225L, /* 256 */ 0x553F_75FD_CEFC_EF46L, 0x776E_E406_E63F_BAAEL, /* 257 */ 0x6A8F_537D_42BC_2B18L, 0x554A_9D08_9FCF_A95AL, /* 258 */ 0x4299_942E_49B5_9AEFL, 0x354E_A225_63E1_C9D8L, /* 259 */ 0x533F_F939_DC23_01ABL, 0x22A2_4AAE_BCDA_3C4EL, /* 260 */ 0x680F_F788_532B_C216L, 0x0B4A_DD5A_6C10_CB62L, /* 261 */ 0x4109_FAB5_33FB_594DL, 0x670E_CA58_838A_7F1DL, /* 262 */ 0x514C_7962_80FA_2FA1L, 0x20D2_7CEE_A46D_1EE4L, /* 263 */ 0x659F_97BB_2138_BB89L, 0x4907_1C2A_4D88_669DL, /* 264 */ 0x7F07_7DA9_E986_EA6BL, 0x7B48_E334_E0EA_8045L, /* 265 */ 0x4F64_AE8A_31F4_5283L, 0x3D0D_8E01_0C92_902BL, /* 266 */ 0x633D_DA2C_BE71_6724L, 0x2C50_F181_4FB7_3436L, /* 267 */ 0x7C0D_50B7_EE0D_C0EDL, 0x3765_2DE1_A3A5_0143L, /* 268 */ 0x4D88_5272_F4C8_9894L, 0x329F_3CAD_0647_20CAL, /* 269 */ 0x60EA_670F_B1FA_BEB9L, 0x3F47_0BD8_47D8_E8FDL, /* 270 */ 0x7925_00D3_9E79_6E67L, 0x6F18_CECE_59CF_233CL, /* 271 */ 0x4BB7_2084_430B_E500L, 0x756F_8140_F821_7605L, /* 272 */ 0x5EA4_E8A5_53CE_DE41L, 0x12CB_6191_3629_D387L, /* 273 */ 0x764E_22CE_A8C2_95D1L, 0x377E_39F5_83B4_4868L, /* 274 */ 0x49F0_D5C1_2979_9DA2L, 0x72AE_E439_7250_AD41L, /* 275 */ 0x5C6D_0B31_73D8_050BL, 0x4F5A_9D47_CEE4_D891L, /* 276 */ 0x7388_4DFD_D0CE_064EL, 0x4331_4499_C29E_0EB6L, /* 277 */ 0x4835_30BE_A280_C3F1L, 0x09FE_CAE0_19A2_C932L, /* 278 */ 0x5A42_7CEE_4B20_F4EDL, 0x2C7E_7D98_200B_7B7EL, /* 279 */ 0x70D3_1C29_DDE9_3228L, 0x579E_1CFE_280E_5A5DL, /* 280 */ 0x4683_F19A_2AB1_BF59L, 0x36C2_D21E_D908_F87BL, /* 281 */ 0x5824_EE00_B55E_2F2FL, 0x6473_86A6_8F4B_3699L, /* 282 */ 0x6E2E_2980_E2B5_BAFBL, 0x5D90_6850_331E_043FL, /* 283 */ 0x44DC_D9F0_8DB1_94DDL, 0x2A7A_4132_1FF2_C2A8L, /* 284 */ 0x5614_106C_B11D_FA14L, 0x5518_D17E_A7EF_7352L, /* 285 */ 0x6B99_1487_DD65_7899L, 0x6A5F_05DE_51EB_5026L, /* 286 */ 0x433F_ACD4_EA5F_6B60L, 0x127B_63AA_F333_1218L, /* 287 */ 0x540F_980A_24F7_4638L, 0x171A_3C95_AFFF_D69EL, /* 288 */ 0x6913_7E0C_AE35_17C6L, 0x1CE0_CBBB_1BFF_CC45L, /* 289 */ 0x41AC_2EC7_ECE1_2EDBL, 0x720C_7F54_F17F_DFABL, /* 290 */ 0x5217_3A79_E819_7A92L, 0x6E8F_9F2A_2DDF_D796L, /* 291 */ 0x669D_0918_621F_D937L, 0x4A33_86F4_B957_CD7BL, /* 292 */ 0x4022_25AF_3D53_E7C2L, 0x5E60_3458_F3D6_E06DL, /* 293 */ 0x502A_AF1B_0CA8_E1B3L, 0x35F8_416F_30CC_9888L, /* 294 */ 0x6435_5AE1_CFD3_1A20L, 0x2376_51CA_FCFF_BEAAL, /* 295 */ 0x7D42_B19A_43C7_E0A8L, 0x2C53_E63D_BC3F_AE55L, /* 296 */ 0x4E49_AF00_6A5C_EC69L, 0x1BB4_6FE6_95A7_CCF5L, /* 297 */ 0x61DC_1AC0_84F4_2783L, 0x42A1_8BE0_3B11_C033L, /* 298 */ 0x7A53_2170_A631_3164L, 0x3349_EED8_49D6_303FL, /* 299 */ 0x4C73_F4E6_67DE_BEDEL, 0x600E_3547_2E25_DE28L, /* 300 */ 0x5F90_F220_01D6_6E96L, 0x3811_C298_F9AF_55B1L, /* 301 */ 0x7775_2EA8_024C_0A3CL, 0x0616_333F_381B_2B1EL, /* 302 */ 0x4AA9_3D29_016F_8665L, 0x43CD_E007_8310_FAF3L, /* 303 */ 0x5D53_8C73_41CB_67FEL, 0x74C1_5809_63D5_39AFL, /* 304 */ 0x74A8_6F90_123E_41FEL, 0x51F1_AE0B_BCCA_881BL, /* 305 */ 0x48E9_45BA_0B66_E93FL, 0x1337_0CC7_55FE_9511L, /* 306 */ 0x5B23_9728_8E40_A38EL, 0x7804_CFF9_2B7E_3A55L, /* 307 */ 0x71EC_7CF2_B1D0_CC72L, 0x5606_03F7_765D_C8EAL, /* 308 */ 0x4733_CE17_AF22_7FC7L, 0x55C3_C27A_A9FA_9D93L, /* 309 */ 0x5900_C19D_9AEB_1FB9L, 0x4B34_B319_5479_44F7L, /* 310 */ 0x6F40_F205_01A5_E7A7L, 0x7E01_DFDF_A997_9635L, /* 311 */ 0x4588_9743_2107_B0C8L, 0x7EC1_2BEB_C9FE_BDE1L, /* 312 */ 0x56EA_BD13_E949_9CFBL, 0x1E71_76E6_BC7E_6D59L, /* 313 */ 0x6CA5_6C58_E39C_043AL, 0x060D_D4A0_6B9E_08B0L, /* 314 */ 0x43E7_63B7_8E41_82A4L, 0x23C8_A4E4_4342_C56EL, /* 315 */ 0x54E1_3CA5_71D1_E34DL, 0x2CBA_CE1D_5413_76C9L, /* 316 */ 0x6A19_8BCE_CE46_5C20L, 0x57E9_81A4_A918_547BL, /* 317 */ 0x424F_F761_40EB_F994L, 0x36F1_F106_E9AF_34CDL, /* 318 */ 0x52E3_F539_9126_F7F9L, 0x44AE_6D48_A41B_0201L, /* 319 */ 0x679C_F287_F570_B5F7L, 0x75DA_089A_CD21_C281L, /* 320 */ 0x40C2_1794_F966_71BAL, 0x79A8_4560_C035_1991L, /* 321 */ 0x50F2_9D7A_37C0_0E29L, 0x5812_56B8_F042_5FF5L, /* 322 */ 0x652F_44D8_C5B0_11B4L, 0x0E16_EC67_2C52_F7F2L, /* 323 */ 0x7E7B_160E_F71C_1621L, 0x119C_A780_F767_B5EEL, /* 324 */ 0x4F0C_EDC9_5A71_8DD4L, 0x5B01_E8B0_9AA0_D1B5L, }; }