ge_operations.c

00001 /* ge_operations.c
00002  *
00003  * Copyright (C) 2006-2016 wolfSSL Inc.
00004  *
00005  * This file is part of wolfSSL.
00006  *
00007  * wolfSSL is free software; you can redistribute it and/or modify
00008  * it under the terms of the GNU General Public License as published by
00009  * the Free Software Foundation; either version 2 of the License, or
00010  * (at your option) any later version.
00011  *
00012  * wolfSSL is distributed in the hope that it will be useful,
00013  * but WITHOUT ANY WARRANTY; without even the implied warranty of
00014  * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
00015  * GNU General Public License for more details.
00016  *
00017  * You should have received a copy of the GNU General Public License
00018  * along with this program; if not, write to the Free Software
00019  * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1335, USA
00020  */
00021 
00022 
00023  /* Based On Daniel J Bernstein's ed25519 Public Domain ref10 work. */
00024 
00025 
00026 #ifdef HAVE_CONFIG_H
00027     #include <config.h>
00028 #endif
00029 
00030 #include <wolfssl/wolfcrypt/settings.h>
00031 
00032 #ifndef CURVED25519_SMALL /* run when not defined to use small memory math */
00033 #ifdef HAVE_ED25519
00034 
00035 #include <wolfssl/wolfcrypt/ge_operations.h>
00036 #include <wolfssl/wolfcrypt/ed25519.h>
00037 #include <wolfssl/wolfcrypt/error-crypt.h>
00038 #ifdef NO_INLINE
00039     #include <wolfssl/wolfcrypt/misc.h>
00040 #else
00041     #define WOLFSSL_MISC_INCLUDED
00042     #include <wolfcrypt/src/misc.c>
00043 #endif
00044 
00045 /*
00046 ge means group element.
00047 
00048 Here the group is the set of pairs (x,y) of field elements (see fe.h)
00049 satisfying -x^2 + y^2 = 1 + d x^2y^2
00050 where d = -121665/121666.
00051 
00052 Representations:
00053   ge_p2 (projective): (X:Y:Z) satisfying x=X/Z, y=Y/Z
00054   ge_p3 (extended): (X:Y:Z:T) satisfying x=X/Z, y=Y/Z, XY=ZT
00055   ge_p1p1 (completed): ((X:Z),(Y:T)) satisfying x=X/Z, y=Y/T
00056   ge_precomp (Duif): (y+x,y-x,2dxy)
00057 */
00058 
00059 
00060 /*
00061 Input:
00062   s[0]+256*s[1]+...+256^63*s[63] = s
00063 
00064 Output:
00065   s[0]+256*s[1]+...+256^31*s[31] = s mod l
00066   where l = 2^252 + 27742317777372353535851937790883648493.
00067   Overwrites s in place.
00068 */
00069 void sc_reduce(byte* s)
00070 {
00071   int64_t s0 = 2097151 & load_3(s);
00072   int64_t s1 = 2097151 & (load_4(s + 2) >> 5);
00073   int64_t s2 = 2097151 & (load_3(s + 5) >> 2);
00074   int64_t s3 = 2097151 & (load_4(s + 7) >> 7);
00075   int64_t s4 = 2097151 & (load_4(s + 10) >> 4);
00076   int64_t s5 = 2097151 & (load_3(s + 13) >> 1);
00077   int64_t s6 = 2097151 & (load_4(s + 15) >> 6);
00078   int64_t s7 = 2097151 & (load_3(s + 18) >> 3);
00079   int64_t s8 = 2097151 & load_3(s + 21);
00080   int64_t s9 = 2097151 & (load_4(s + 23) >> 5);
00081   int64_t s10 = 2097151 & (load_3(s + 26) >> 2);
00082   int64_t s11 = 2097151 & (load_4(s + 28) >> 7);
00083   int64_t s12 = 2097151 & (load_4(s + 31) >> 4);
00084   int64_t s13 = 2097151 & (load_3(s + 34) >> 1);
00085   int64_t s14 = 2097151 & (load_4(s + 36) >> 6);
00086   int64_t s15 = 2097151 & (load_3(s + 39) >> 3);
00087   int64_t s16 = 2097151 & load_3(s + 42);
00088   int64_t s17 = 2097151 & (load_4(s + 44) >> 5);
00089   int64_t s18 = 2097151 & (load_3(s + 47) >> 2);
00090   int64_t s19 = 2097151 & (load_4(s + 49) >> 7);
00091   int64_t s20 = 2097151 & (load_4(s + 52) >> 4);
00092   int64_t s21 = 2097151 & (load_3(s + 55) >> 1);
00093   int64_t s22 = 2097151 & (load_4(s + 57) >> 6);
00094   int64_t s23 = (load_4(s + 60) >> 3);
00095   int64_t carry0;
00096   int64_t carry1;
00097   int64_t carry2;
00098   int64_t carry3;
00099   int64_t carry4;
00100   int64_t carry5;
00101   int64_t carry6;
00102   int64_t carry7;
00103   int64_t carry8;
00104   int64_t carry9;
00105   int64_t carry10;
00106   int64_t carry11;
00107   int64_t carry12;
00108   int64_t carry13;
00109   int64_t carry14;
00110   int64_t carry15;
00111   int64_t carry16;
00112 
00113   s11 += s23 * 666643;
00114   s12 += s23 * 470296;
00115   s13 += s23 * 654183;
00116   s14 -= s23 * 997805;
00117   s15 += s23 * 136657;
00118   s16 -= s23 * 683901;
00119   s23 = 0;
00120 
00121   s10 += s22 * 666643;
00122   s11 += s22 * 470296;
00123   s12 += s22 * 654183;
00124   s13 -= s22 * 997805;
00125   s14 += s22 * 136657;
00126   s15 -= s22 * 683901;
00127   s22 = 0;
00128 
00129   s9 += s21 * 666643;
00130   s10 += s21 * 470296;
00131   s11 += s21 * 654183;
00132   s12 -= s21 * 997805;
00133   s13 += s21 * 136657;
00134   s14 -= s21 * 683901;
00135   s21 = 0;
00136 
00137   s8 += s20 * 666643;
00138   s9 += s20 * 470296;
00139   s10 += s20 * 654183;
00140   s11 -= s20 * 997805;
00141   s12 += s20 * 136657;
00142   s13 -= s20 * 683901;
00143   s20 = 0;
00144 
00145   s7 += s19 * 666643;
00146   s8 += s19 * 470296;
00147   s9 += s19 * 654183;
00148   s10 -= s19 * 997805;
00149   s11 += s19 * 136657;
00150   s12 -= s19 * 683901;
00151   s19 = 0;
00152 
00153   s6 += s18 * 666643;
00154   s7 += s18 * 470296;
00155   s8 += s18 * 654183;
00156   s9 -= s18 * 997805;
00157   s10 += s18 * 136657;
00158   s11 -= s18 * 683901;
00159   s18 = 0;
00160 
00161   carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21;
00162   carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21;
00163   carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21;
00164   carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21;
00165   carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21;
00166   carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21;
00167 
00168   carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21;
00169   carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21;
00170   carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21;
00171   carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21;
00172   carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21;
00173 
00174   s5 += s17 * 666643;
00175   s6 += s17 * 470296;
00176   s7 += s17 * 654183;
00177   s8 -= s17 * 997805;
00178   s9 += s17 * 136657;
00179   s10 -= s17 * 683901;
00180   s17 = 0;
00181 
00182   s4 += s16 * 666643;
00183   s5 += s16 * 470296;
00184   s6 += s16 * 654183;
00185   s7 -= s16 * 997805;
00186   s8 += s16 * 136657;
00187   s9 -= s16 * 683901;
00188   s16 = 0;
00189 
00190   s3 += s15 * 666643;
00191   s4 += s15 * 470296;
00192   s5 += s15 * 654183;
00193   s6 -= s15 * 997805;
00194   s7 += s15 * 136657;
00195   s8 -= s15 * 683901;
00196   s15 = 0;
00197 
00198   s2 += s14 * 666643;
00199   s3 += s14 * 470296;
00200   s4 += s14 * 654183;
00201   s5 -= s14 * 997805;
00202   s6 += s14 * 136657;
00203   s7 -= s14 * 683901;
00204   s14 = 0;
00205 
00206   s1 += s13 * 666643;
00207   s2 += s13 * 470296;
00208   s3 += s13 * 654183;
00209   s4 -= s13 * 997805;
00210   s5 += s13 * 136657;
00211   s6 -= s13 * 683901;
00212   s13 = 0;
00213 
00214   s0 += s12 * 666643;
00215   s1 += s12 * 470296;
00216   s2 += s12 * 654183;
00217   s3 -= s12 * 997805;
00218   s4 += s12 * 136657;
00219   s5 -= s12 * 683901;
00220   s12 = 0;
00221 
00222   carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21;
00223   carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21;
00224   carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21;
00225   carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21;
00226   carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21;
00227   carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21;
00228 
00229   carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21;
00230   carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21;
00231   carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21;
00232   carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21;
00233   carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21;
00234   carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21;
00235 
00236   s0 += s12 * 666643;
00237   s1 += s12 * 470296;
00238   s2 += s12 * 654183;
00239   s3 -= s12 * 997805;
00240   s4 += s12 * 136657;
00241   s5 -= s12 * 683901;
00242   s12 = 0;
00243 
00244   carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21;
00245   carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21;
00246   carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21;
00247   carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21;
00248   carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21;
00249   carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21;
00250   carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21;
00251   carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21;
00252   carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21;
00253   carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21;
00254   carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21;
00255   carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21;
00256 
00257   s0 += s12 * 666643;
00258   s1 += s12 * 470296;
00259   s2 += s12 * 654183;
00260   s3 -= s12 * 997805;
00261   s4 += s12 * 136657;
00262   s5 -= s12 * 683901;
00263   s12 = 0;
00264 
00265   carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21;
00266   carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21;
00267   carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21;
00268   carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21;
00269   carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21;
00270   carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21;
00271   carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21;
00272   carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21;
00273   carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21;
00274   carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21;
00275   carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21;
00276 
00277   s[0] =  (byte)(s0 >> 0);
00278   s[1] =  (byte)(s0 >> 8);
00279   s[2] =  (byte)((s0 >> 16) | (s1 << 5));
00280   s[3] =  (byte)(s1 >> 3);
00281   s[4] =  (byte)(s1 >> 11);
00282   s[5] =  (byte)((s1 >> 19) | (s2 << 2));
00283   s[6] =  (byte)(s2 >> 6);
00284   s[7] =  (byte)((s2 >> 14) | (s3 << 7));
00285   s[8] =  (byte)(s3 >> 1);
00286   s[9] =  (byte)(s3 >> 9);
00287   s[10] = (byte)((s3 >> 17) | (s4 << 4));
00288   s[11] = (byte)(s4 >> 4);
00289   s[12] = (byte)(s4 >> 12);
00290   s[13] = (byte)((s4 >> 20) | (s5 << 1));
00291   s[14] = (byte)(s5 >> 7);
00292   s[15] = (byte)((s5 >> 15) | (s6 << 6));
00293   s[16] = (byte)(s6 >> 2);
00294   s[17] = (byte)(s6 >> 10);
00295   s[18] = (byte)((s6 >> 18) | (s7 << 3));
00296   s[19] = (byte)(s7 >> 5);
00297   s[20] = (byte)(s7 >> 13);
00298   s[21] = (byte)(s8 >> 0);
00299   s[22] = (byte)(s8 >> 8);
00300   s[23] = (byte)((s8 >> 16) | (s9 << 5));
00301   s[24] = (byte)(s9 >> 3);
00302   s[25] = (byte)(s9 >> 11);
00303   s[26] = (byte)((s9 >> 19) | (s10 << 2));
00304   s[27] = (byte)(s10 >> 6);
00305   s[28] = (byte)((s10 >> 14) | (s11 << 7));
00306   s[29] = (byte)(s11 >> 1);
00307   s[30] = (byte)(s11 >> 9);
00308   s[31] = (byte)(s11 >> 17);
00309 
00310   /* hush warnings after setting values to 0 */
00311   (void)s12;
00312   (void)s13;
00313   (void)s14;
00314   (void)s15;
00315   (void)s16;
00316   (void)s17;
00317   (void)s18;
00318   (void)s19;
00319   (void)s20;
00320   (void)s21;
00321   (void)s22;
00322   (void)s23;
00323 }
00324 
00325 
00326 /*
00327 Input:
00328   a[0]+256*a[1]+...+256^31*a[31] = a
00329   b[0]+256*b[1]+...+256^31*b[31] = b
00330   c[0]+256*c[1]+...+256^31*c[31] = c
00331 
00332 Output:
00333   s[0]+256*s[1]+...+256^31*s[31] = (ab+c) mod l
00334   where l = 2^252 + 27742317777372353535851937790883648493.
00335 */
00336 void sc_muladd(byte* s, const byte* a, const byte* b, const byte* c)
00337 {
00338   int64_t a0 = 2097151 & load_3(a);
00339   int64_t a1 = 2097151 & (load_4(a + 2) >> 5);
00340   int64_t a2 = 2097151 & (load_3(a + 5) >> 2);
00341   int64_t a3 = 2097151 & (load_4(a + 7) >> 7);
00342   int64_t a4 = 2097151 & (load_4(a + 10) >> 4);
00343   int64_t a5 = 2097151 & (load_3(a + 13) >> 1);
00344   int64_t a6 = 2097151 & (load_4(a + 15) >> 6);
00345   int64_t a7 = 2097151 & (load_3(a + 18) >> 3);
00346   int64_t a8 = 2097151 & load_3(a + 21);
00347   int64_t a9 = 2097151 & (load_4(a + 23) >> 5);
00348   int64_t a10 = 2097151 & (load_3(a + 26) >> 2);
00349   int64_t a11 = (load_4(a + 28) >> 7);
00350   int64_t b0 = 2097151 & load_3(b);
00351   int64_t b1 = 2097151 & (load_4(b + 2) >> 5);
00352   int64_t b2 = 2097151 & (load_3(b + 5) >> 2);
00353   int64_t b3 = 2097151 & (load_4(b + 7) >> 7);
00354   int64_t b4 = 2097151 & (load_4(b + 10) >> 4);
00355   int64_t b5 = 2097151 & (load_3(b + 13) >> 1);
00356   int64_t b6 = 2097151 & (load_4(b + 15) >> 6);
00357   int64_t b7 = 2097151 & (load_3(b + 18) >> 3);
00358   int64_t b8 = 2097151 & load_3(b + 21);
00359   int64_t b9 = 2097151 & (load_4(b + 23) >> 5);
00360   int64_t b10 = 2097151 & (load_3(b + 26) >> 2);
00361   int64_t b11 = (load_4(b + 28) >> 7);
00362   int64_t c0 = 2097151 & load_3(c);
00363   int64_t c1 = 2097151 & (load_4(c + 2) >> 5);
00364   int64_t c2 = 2097151 & (load_3(c + 5) >> 2);
00365   int64_t c3 = 2097151 & (load_4(c + 7) >> 7);
00366   int64_t c4 = 2097151 & (load_4(c + 10) >> 4);
00367   int64_t c5 = 2097151 & (load_3(c + 13) >> 1);
00368   int64_t c6 = 2097151 & (load_4(c + 15) >> 6);
00369   int64_t c7 = 2097151 & (load_3(c + 18) >> 3);
00370   int64_t c8 = 2097151 & load_3(c + 21);
00371   int64_t c9 = 2097151 & (load_4(c + 23) >> 5);
00372   int64_t c10 = 2097151 & (load_3(c + 26) >> 2);
00373   int64_t c11 = (load_4(c + 28) >> 7);
00374   int64_t s0;
00375   int64_t s1;
00376   int64_t s2;
00377   int64_t s3;
00378   int64_t s4;
00379   int64_t s5;
00380   int64_t s6;
00381   int64_t s7;
00382   int64_t s8;
00383   int64_t s9;
00384   int64_t s10;
00385   int64_t s11;
00386   int64_t s12;
00387   int64_t s13;
00388   int64_t s14;
00389   int64_t s15;
00390   int64_t s16;
00391   int64_t s17;
00392   int64_t s18;
00393   int64_t s19;
00394   int64_t s20;
00395   int64_t s21;
00396   int64_t s22;
00397   int64_t s23;
00398   int64_t carry0;
00399   int64_t carry1;
00400   int64_t carry2;
00401   int64_t carry3;
00402   int64_t carry4;
00403   int64_t carry5;
00404   int64_t carry6;
00405   int64_t carry7;
00406   int64_t carry8;
00407   int64_t carry9;
00408   int64_t carry10;
00409   int64_t carry11;
00410   int64_t carry12;
00411   int64_t carry13;
00412   int64_t carry14;
00413   int64_t carry15;
00414   int64_t carry16;
00415   int64_t carry17;
00416   int64_t carry18;
00417   int64_t carry19;
00418   int64_t carry20;
00419   int64_t carry21;
00420   int64_t carry22;
00421 
00422   s0 = c0 + a0*b0;
00423   s1 = c1 + a0*b1 + a1*b0;
00424   s2 = c2 + a0*b2 + a1*b1 + a2*b0;
00425   s3 = c3 + a0*b3 + a1*b2 + a2*b1 + a3*b0;
00426   s4 = c4 + a0*b4 + a1*b3 + a2*b2 + a3*b1 + a4*b0;
00427   s5 = c5 + a0*b5 + a1*b4 + a2*b3 + a3*b2 + a4*b1 + a5*b0;
00428   s6 = c6 + a0*b6 + a1*b5 + a2*b4 + a3*b3 + a4*b2 + a5*b1 + a6*b0;
00429   s7 = c7 + a0*b7 + a1*b6 + a2*b5 + a3*b4 + a4*b3 + a5*b2 + a6*b1 + a7*b0;
00430   s8 = c8 + a0*b8 + a1*b7 + a2*b6 + a3*b5 + a4*b4 + a5*b3 + a6*b2 + a7*b1
00431           + a8*b0;
00432   s9 = c9 + a0*b9 + a1*b8 + a2*b7 + a3*b6 + a4*b5 + a5*b4 + a6*b3 + a7*b2
00433           + a8*b1 + a9*b0;
00434   s10 = c10 + a0*b10 + a1*b9 + a2*b8 + a3*b7 + a4*b6 + a5*b5 + a6*b4 + a7*b3
00435             + a8*b2 + a9*b1 + a10*b0;
00436   s11 = c11 + a0*b11 + a1*b10 + a2*b9 + a3*b8 + a4*b7 + a5*b6 + a6*b5 + a7*b4
00437             + a8*b3 + a9*b2 + a10*b1 + a11*b0;
00438   s12 = a1*b11 + a2*b10 + a3*b9 + a4*b8 + a5*b7 + a6*b6 + a7*b5 + a8*b4 + a9*b3
00439                + a10*b2 + a11*b1;
00440   s13 = a2*b11 + a3*b10 + a4*b9 + a5*b8 + a6*b7 + a7*b6 + a8*b5 + a9*b4 + a10*b3
00441                + a11*b2;
00442   s14 = a3*b11 + a4*b10 + a5*b9 + a6*b8 + a7*b7 + a8*b6 + a9*b5 + a10*b4
00443                + a11*b3;
00444   s15 = a4*b11 + a5*b10 + a6*b9 + a7*b8 + a8*b7 + a9*b6 + a10*b5 + a11*b4;
00445   s16 = a5*b11 + a6*b10 + a7*b9 + a8*b8 + a9*b7 + a10*b6 + a11*b5;
00446   s17 = a6*b11 + a7*b10 + a8*b9 + a9*b8 + a10*b7 + a11*b6;
00447   s18 = a7*b11 + a8*b10 + a9*b9 + a10*b8 + a11*b7;
00448   s19 = a8*b11 + a9*b10 + a10*b9 + a11*b8;
00449   s20 = a9*b11 + a10*b10 + a11*b9;
00450   s21 = a10*b11 + a11*b10;
00451   s22 = a11*b11;
00452   s23 = 0;
00453 
00454   carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21;
00455   carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21;
00456   carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21;
00457   carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21;
00458   carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21;
00459   carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21;
00460   carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21;
00461   carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21;
00462   carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21;
00463   carry18 = (s18 + (1<<20)) >> 21; s19 += carry18; s18 -= carry18 << 21;
00464   carry20 = (s20 + (1<<20)) >> 21; s21 += carry20; s20 -= carry20 << 21;
00465   carry22 = (s22 + (1<<20)) >> 21; s23 += carry22; s22 -= carry22 << 21;
00466 
00467   carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21;
00468   carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21;
00469   carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21;
00470   carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21;
00471   carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21;
00472   carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21;
00473   carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21;
00474   carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21;
00475   carry17 = (s17 + (1<<20)) >> 21; s18 += carry17; s17 -= carry17 << 21;
00476   carry19 = (s19 + (1<<20)) >> 21; s20 += carry19; s19 -= carry19 << 21;
00477   carry21 = (s21 + (1<<20)) >> 21; s22 += carry21; s21 -= carry21 << 21;
00478 
00479   s11 += s23 * 666643;
00480   s12 += s23 * 470296;
00481   s13 += s23 * 654183;
00482   s14 -= s23 * 997805;
00483   s15 += s23 * 136657;
00484   s16 -= s23 * 683901;
00485   s23 = 0;
00486 
00487   s10 += s22 * 666643;
00488   s11 += s22 * 470296;
00489   s12 += s22 * 654183;
00490   s13 -= s22 * 997805;
00491   s14 += s22 * 136657;
00492   s15 -= s22 * 683901;
00493   s22 = 0;
00494 
00495   s9 += s21 * 666643;
00496   s10 += s21 * 470296;
00497   s11 += s21 * 654183;
00498   s12 -= s21 * 997805;
00499   s13 += s21 * 136657;
00500   s14 -= s21 * 683901;
00501   s21 = 0;
00502 
00503   s8 += s20 * 666643;
00504   s9 += s20 * 470296;
00505   s10 += s20 * 654183;
00506   s11 -= s20 * 997805;
00507   s12 += s20 * 136657;
00508   s13 -= s20 * 683901;
00509   s20 = 0;
00510 
00511   s7 += s19 * 666643;
00512   s8 += s19 * 470296;
00513   s9 += s19 * 654183;
00514   s10 -= s19 * 997805;
00515   s11 += s19 * 136657;
00516   s12 -= s19 * 683901;
00517   s19 = 0;
00518 
00519   s6 += s18 * 666643;
00520   s7 += s18 * 470296;
00521   s8 += s18 * 654183;
00522   s9 -= s18 * 997805;
00523   s10 += s18 * 136657;
00524   s11 -= s18 * 683901;
00525   s18 = 0;
00526 
00527   carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21;
00528   carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21;
00529   carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21;
00530   carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21;
00531   carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21;
00532   carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21;
00533 
00534   carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21;
00535   carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21;
00536   carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21;
00537   carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21;
00538   carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21;
00539 
00540   s5 += s17 * 666643;
00541   s6 += s17 * 470296;
00542   s7 += s17 * 654183;
00543   s8 -= s17 * 997805;
00544   s9 += s17 * 136657;
00545   s10 -= s17 * 683901;
00546   s17 = 0;
00547 
00548   s4 += s16 * 666643;
00549   s5 += s16 * 470296;
00550   s6 += s16 * 654183;
00551   s7 -= s16 * 997805;
00552   s8 += s16 * 136657;
00553   s9 -= s16 * 683901;
00554   s16 = 0;
00555 
00556   s3 += s15 * 666643;
00557   s4 += s15 * 470296;
00558   s5 += s15 * 654183;
00559   s6 -= s15 * 997805;
00560   s7 += s15 * 136657;
00561   s8 -= s15 * 683901;
00562   s15 = 0;
00563 
00564   s2 += s14 * 666643;
00565   s3 += s14 * 470296;
00566   s4 += s14 * 654183;
00567   s5 -= s14 * 997805;
00568   s6 += s14 * 136657;
00569   s7 -= s14 * 683901;
00570   s14 = 0;
00571 
00572   s1 += s13 * 666643;
00573   s2 += s13 * 470296;
00574   s3 += s13 * 654183;
00575   s4 -= s13 * 997805;
00576   s5 += s13 * 136657;
00577   s6 -= s13 * 683901;
00578   s13 = 0;
00579 
00580   s0 += s12 * 666643;
00581   s1 += s12 * 470296;
00582   s2 += s12 * 654183;
00583   s3 -= s12 * 997805;
00584   s4 += s12 * 136657;
00585   s5 -= s12 * 683901;
00586   s12 = 0;
00587 
00588   carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21;
00589   carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21;
00590   carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21;
00591   carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21;
00592   carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21;
00593   carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21;
00594 
00595   carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21;
00596   carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21;
00597   carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21;
00598   carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21;
00599   carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21;
00600   carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21;
00601 
00602   s0 += s12 * 666643;
00603   s1 += s12 * 470296;
00604   s2 += s12 * 654183;
00605   s3 -= s12 * 997805;
00606   s4 += s12 * 136657;
00607   s5 -= s12 * 683901;
00608   s12 = 0;
00609 
00610   carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21;
00611   carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21;
00612   carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21;
00613   carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21;
00614   carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21;
00615   carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21;
00616   carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21;
00617   carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21;
00618   carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21;
00619   carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21;
00620   carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21;
00621   carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21;
00622 
00623   s0 += s12 * 666643;
00624   s1 += s12 * 470296;
00625   s2 += s12 * 654183;
00626   s3 -= s12 * 997805;
00627   s4 += s12 * 136657;
00628   s5 -= s12 * 683901;
00629   s12 = 0;
00630 
00631   carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21;
00632   carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21;
00633   carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21;
00634   carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21;
00635   carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21;
00636   carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21;
00637   carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21;
00638   carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21;
00639   carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21;
00640   carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21;
00641   carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21;
00642 
00643   s[0] = (byte)(s0 >> 0);
00644   s[1] = (byte)(s0 >> 8);
00645   s[2] = (byte)((s0 >> 16) | (s1 << 5));
00646   s[3] = (byte)(s1 >> 3);
00647   s[4] = (byte)(s1 >> 11);
00648   s[5] = (byte)((s1 >> 19) | (s2 << 2));
00649   s[6] = (byte)(s2 >> 6);
00650   s[7] = (byte)((s2 >> 14) | (s3 << 7));
00651   s[8] = (byte)(s3 >> 1);
00652   s[9] = (byte)(s3 >> 9);
00653   s[10] = (byte)((s3 >> 17) | (s4 << 4));
00654   s[11] = (byte)(s4 >> 4);
00655   s[12] = (byte)(s4 >> 12);
00656   s[13] = (byte)((s4 >> 20) | (s5 << 1));
00657   s[14] = (byte)(s5 >> 7);
00658   s[15] = (byte)((s5 >> 15) | (s6 << 6));
00659   s[16] = (byte)(s6 >> 2);
00660   s[17] = (byte)(s6 >> 10);
00661   s[18] = (byte)((s6 >> 18) | (s7 << 3));
00662   s[19] = (byte)(s7 >> 5);
00663   s[20] = (byte)(s7 >> 13);
00664   s[21] = (byte)(s8 >> 0);
00665   s[22] = (byte)(s8 >> 8);
00666   s[23] = (byte)((s8 >> 16) | (s9 << 5));
00667   s[24] = (byte)(s9 >> 3);
00668   s[25] = (byte)(s9 >> 11);
00669   s[26] = (byte)((s9 >> 19) | (s10 << 2));
00670   s[27] = (byte)(s10 >> 6);
00671   s[28] = (byte)((s10 >> 14) | (s11 << 7));
00672   s[29] = (byte)(s11 >> 1);
00673   s[30] = (byte)(s11 >> 9);
00674   s[31] = (byte)(s11 >> 17);
00675 
00676   /* hush warnings after setting values to 0 */
00677   (void)s12;
00678   (void)s13;
00679   (void)s14;
00680   (void)s15;
00681   (void)s16;
00682   (void)s17;
00683   (void)s18;
00684   (void)s19;
00685   (void)s20;
00686   (void)s21;
00687   (void)s22;
00688   (void)s23;
00689 }
00690 
00691 
00692 int ge_compress_key(byte* out, const byte* xIn, const byte* yIn, word32 keySz)
00693 {
00694     fe     x,y,z;
00695     ge_p3  g;
00696     byte   bArray[ED25519_KEY_SIZE];
00697     word32 i;
00698 
00699     fe_0(x);
00700     fe_0(y);
00701     fe_1(z);
00702     fe_frombytes(x, xIn);
00703     fe_frombytes(y, yIn);
00704 
00705     fe_copy(g.X, x);
00706     fe_copy(g.Y, y);
00707     fe_copy(g.Z, z);
00708 
00709     ge_p3_tobytes(bArray, &g);
00710 
00711     for (i = 0; i < keySz; i++) {
00712         out[keySz - 1 - i] = bArray[i];
00713     }
00714 
00715     return 0;
00716 }
00717 
00718 
00719 /*
00720 r = p + q
00721 */
00722 void ge_add(ge_p1p1 *r,const ge_p3 *p,const ge_cached *q)
00723 {
00724     fe t0;
00725     fe_add(r->X,p->Y,p->X);
00726     fe_sub(r->Y,p->Y,p->X);
00727     fe_mul(r->Z,r->X,q->YplusX);
00728     fe_mul(r->Y,r->Y,q->YminusX);
00729     fe_mul(r->T,q->T2d,p->T);
00730     fe_mul(r->X,p->Z,q->Z);
00731     fe_add(t0,r->X,r->X);
00732     fe_sub(r->X,r->Z,r->Y);
00733     fe_add(r->Y,r->Z,r->Y);
00734     fe_add(r->Z,t0,r->T);
00735     fe_sub(r->T,t0,r->T);
00736 }
00737 
00738 
00739 /* ge_scalar mult base */
00740 static unsigned char equal(signed char b,signed char c)
00741 {
00742   unsigned char ub = b;
00743   unsigned char uc = c;
00744   unsigned char x = ub ^ uc; /* 0: yes; 1..255: no */
00745   uint32_t y = x; /* 0: yes; 1..255: no */
00746   y -= 1; /* 4294967295: yes; 0..254: no */
00747   y >>= 31; /* 1: yes; 0: no */
00748   return y;
00749 }
00750 
00751 
00752 static unsigned char negative(signed char b)
00753 {
00754   unsigned long long x = b; /* 18446744073709551361..18446744073709551615:
00755                                yes; 0..255: no */
00756   x >>= 63; /* 1: yes; 0: no */
00757   return (unsigned char)x;
00758 }
00759 
00760 
00761 static void cmov(ge_precomp *t,const ge_precomp *u,unsigned char b)
00762 {
00763   fe_cmov(t->yplusx,u->yplusx,b);
00764   fe_cmov(t->yminusx,u->yminusx,b);
00765   fe_cmov(t->xy2d,u->xy2d,b);
00766 }
00767 
00768 #ifdef HAVE___UINT128_T
00769 static const ge_precomp base[32][8] = {
00770 {
00771     {
00772         { 0x493c6f58c3b85, 0x0df7181c325f7, 0x0f50b0b3e4cb7, 0x5329385a44c32, 0x07cf9d3a33d4b },
00773         { 0x03905d740913e, 0x0ba2817d673a2, 0x23e2827f4e67c, 0x133d2e0c21a34, 0x44fd2f9298f81 },
00774         { 0x11205877aaa68, 0x479955893d579, 0x50d66309b67a0, 0x2d42d0dbee5ee, 0x6f117b689f0c6 },
00775     },
00776     {
00777         { 0x4e7fc933c71d7, 0x2cf41feb6b244, 0x7581c0a7d1a76, 0x7172d534d32f0, 0x590c063fa87d2 },
00778         { 0x1a56042b4d5a8, 0x189cc159ed153, 0x5b8deaa3cae04, 0x2aaf04f11b5d8, 0x6bb595a669c92 },
00779         { 0x2a8b3a59b7a5f, 0x3abb359ef087f, 0x4f5a8c4db05af, 0x5b9a807d04205, 0x701af5b13ea50 },
00780     },
00781     {
00782         { 0x5b0a84cee9730, 0x61d10c97155e4, 0x4059cc8096a10, 0x47a608da8014f, 0x7a164e1b9a80f },
00783         { 0x11fe8a4fcd265, 0x7bcb8374faacc, 0x52f5af4ef4d4f, 0x5314098f98d10, 0x2ab91587555bd },
00784         { 0x6933f0dd0d889, 0x44386bb4c4295, 0x3cb6d3162508c, 0x26368b872a2c6, 0x5a2826af12b9b },
00785     },
00786     {
00787         { 0x351b98efc099f, 0x68fbfa4a7050e, 0x42a49959d971b, 0x393e51a469efd, 0x680e910321e58 },
00788         { 0x6050a056818bf, 0x62acc1f5532bf, 0x28141ccc9fa25, 0x24d61f471e683, 0x27933f4c7445a },
00789         { 0x3fbe9c476ff09, 0x0af6b982e4b42, 0x0ad1251ba78e5, 0x715aeedee7c88, 0x7f9d0cbf63553 },
00790     },
00791     {
00792         { 0x2bc4408a5bb33, 0x078ebdda05442, 0x2ffb112354123, 0x375ee8df5862d, 0x2945ccf146e20 },
00793         { 0x182c3a447d6ba, 0x22964e536eff2, 0x192821f540053, 0x2f9f19e788e5c, 0x154a7e73eb1b5 },
00794         { 0x3dbf1812a8285, 0x0fa17ba3f9797, 0x6f69cb49c3820, 0x34d5a0db3858d, 0x43aabe696b3bb },
00795     },
00796     {
00797         { 0x4eeeb77157131, 0x1201915f10741, 0x1669cda6c9c56, 0x45ec032db346d, 0x51e57bb6a2cc3 },
00798         { 0x006b67b7d8ca4, 0x084fa44e72933, 0x1154ee55d6f8a, 0x4425d842e7390, 0x38b64c41ae417 },
00799         { 0x4326702ea4b71, 0x06834376030b5, 0x0ef0512f9c380, 0x0f1a9f2512584, 0x10b8e91a9f0d6 },
00800     },
00801     {
00802         { 0x25cd0944ea3bf, 0x75673b81a4d63, 0x150b925d1c0d4, 0x13f38d9294114, 0x461bea69283c9 },
00803         { 0x72c9aaa3221b1, 0x267774474f74d, 0x064b0e9b28085, 0x3f04ef53b27c9, 0x1d6edd5d2e531 },
00804         { 0x36dc801b8b3a2, 0x0e0a7d4935e30, 0x1deb7cecc0d7d, 0x053a94e20dd2c, 0x7a9fbb1c6a0f9 },
00805     },
00806     {
00807         { 0x7596604dd3e8f, 0x6fc510e058b36, 0x3670c8db2cc0d, 0x297d899ce332f, 0x0915e76061bce },
00808         { 0x75dedf39234d9, 0x01c36ab1f3c54, 0x0f08fee58f5da, 0x0e19613a0d637, 0x3a9024a1320e0 },
00809         { 0x1f5d9c9a2911a, 0x7117994fafcf8, 0x2d8a8cae28dc5, 0x74ab1b2090c87, 0x26907c5c2ecc4 },
00810     },
00811 },
00812 {
00813     {
00814         { 0x4dd0e632f9c1d, 0x2ced12622a5d9, 0x18de9614742da, 0x79ca96fdbb5d4, 0x6dd37d49a00ee },
00815         { 0x3635449aa515e, 0x3e178d0475dab, 0x50b4712a19712, 0x2dcc2860ff4ad, 0x30d76d6f03d31 },
00816         { 0x444172106e4c7, 0x01251afed2d88, 0x534fc9bed4f5a, 0x5d85a39cf5234, 0x10c697112e864 },
00817     },
00818     {
00819         { 0x62aa08358c805, 0x46f440848e194, 0x447b771a8f52b, 0x377ba3269d31d, 0x03bf9baf55080 },
00820         { 0x3c4277dbe5fde, 0x5a335afd44c92, 0x0c1164099753e, 0x70487006fe423, 0x25e61cabed66f },
00821         { 0x3e128cc586604, 0x5968b2e8fc7e2, 0x049a3d5bd61cf, 0x116505b1ef6e6, 0x566d78634586e },
00822     },
00823     {
00824         { 0x54285c65a2fd0, 0x55e62ccf87420, 0x46bb961b19044, 0x1153405712039, 0x14fba5f34793b },
00825         { 0x7a49f9cc10834, 0x2b513788a22c6, 0x5ff4b6ef2395b, 0x2ec8e5af607bf, 0x33975bca5ecc3 },
00826         { 0x746166985f7d4, 0x09939000ae79a, 0x5844c7964f97a, 0x13617e1f95b3d, 0x14829cea83fc5 },
00827     },
00828     {
00829         { 0x70b2f4e71ecb8, 0x728148efc643c, 0x0753e03995b76, 0x5bf5fb2ab6767, 0x05fc3bc4535d7 },
00830         { 0x37b8497dd95c2, 0x61549d6b4ffe8, 0x217a22db1d138, 0x0b9cf062eb09e, 0x2fd9c71e5f758 },
00831         { 0x0b3ae52afdedd, 0x19da76619e497, 0x6fa0654d2558e, 0x78219d25e41d4, 0x373767475c651 },
00832     },
00833     {
00834         { 0x095cb14246590, 0x002d82aa6ac68, 0x442f183bc4851, 0x6464f1c0a0644, 0x6bf5905730907 },
00835         { 0x299fd40d1add9, 0x5f2de9a04e5f7, 0x7c0eebacc1c59, 0x4cca1b1f8290a, 0x1fbea56c3b18f },
00836         { 0x778f1e1415b8a, 0x6f75874efc1f4, 0x28a694019027f, 0x52b37a96bdc4d, 0x02521cf67a635 },
00837     },
00838     {
00839         { 0x46720772f5ee4, 0x632c0f359d622, 0x2b2092ba3e252, 0x662257c112680, 0x001753d9f7cd6 },
00840         { 0x7ee0b0a9d5294, 0x381fbeb4cca27, 0x7841f3a3e639d, 0x676ea30c3445f, 0x3fa00a7e71382 },
00841         { 0x1232d963ddb34, 0x35692e70b078d, 0x247ca14777a1f, 0x6db556be8fcd0, 0x12b5fe2fa048e },
00842     },
00843     {
00844         { 0x37c26ad6f1e92, 0x46a0971227be5, 0x4722f0d2d9b4c, 0x3dc46204ee03a, 0x6f7e93c20796c },
00845         { 0x0fbc496fce34d, 0x575be6b7dae3e, 0x4a31585cee609, 0x037e9023930ff, 0x749b76f96fb12 },
00846         { 0x2f604aea6ae05, 0x637dc939323eb, 0x3fdad9b048d47, 0x0a8b0d4045af7, 0x0fcec10f01e02 },
00847     },
00848     {
00849         { 0x2d29dc4244e45, 0x6927b1bc147be, 0x0308534ac0839, 0x4853664033f41, 0x413779166feab },
00850         { 0x558a649fe1e44, 0x44635aeefcc89, 0x1ff434887f2ba, 0x0f981220e2d44, 0x4901aa7183c51 },
00851         { 0x1b7548c1af8f0, 0x7848c53368116, 0x01b64e7383de9, 0x109fbb0587c8f, 0x41bb887b726d1 },
00852     },
00853 },
00854 {
00855     {
00856         { 0x34c597c6691ae, 0x7a150b6990fc4, 0x52beb9d922274, 0x70eed7164861a, 0x0a871e070c6a9 },
00857         { 0x07d44744346be, 0x282b6a564a81d, 0x4ed80f875236b, 0x6fbbe1d450c50, 0x4eb728c12fcdb },
00858         { 0x1b5994bbc8989, 0x74b7ba84c0660, 0x75678f1cdaeb8, 0x23206b0d6f10c, 0x3ee7300f2685d },
00859     },
00860     {
00861         { 0x27947841e7518, 0x32c7388dae87f, 0x414add3971be9, 0x01850832f0ef1, 0x7d47c6a2cfb89 },
00862         { 0x255e49e7dd6b7, 0x38c2163d59eba, 0x3861f2a005845, 0x2e11e4ccbaec9, 0x1381576297912 },
00863         { 0x2d0148ef0d6e0, 0x3522a8de787fb, 0x2ee055e74f9d2, 0x64038f6310813, 0x148cf58d34c9e },
00864     },
00865     {
00866         { 0x72f7d9ae4756d, 0x7711e690ffc4a, 0x582a2355b0d16, 0x0dccfe885b6b4, 0x278febad4eaea },
00867         { 0x492f67934f027, 0x7ded0815528d4, 0x58461511a6612, 0x5ea2e50de1544, 0x3ff2fa1ebd5db },
00868         { 0x2681f8c933966, 0x3840521931635, 0x674f14a308652, 0x3bd9c88a94890, 0x4104dd02fe9c6 },
00869     },
00870     {
00871         { 0x14e06db096ab8, 0x1219c89e6b024, 0x278abd486a2db, 0x240b292609520, 0x0165b5a48efca },
00872         { 0x2bf5e1124422a, 0x673146756ae56, 0x14ad99a87e830, 0x1eaca65b080fd, 0x2c863b00afaf5 },
00873         { 0x0a474a0846a76, 0x099a5ef981e32, 0x2a8ae3c4bbfe6, 0x45c34af14832c, 0x591b67d9bffec },
00874     },
00875     {
00876         { 0x1b3719f18b55d, 0x754318c83d337, 0x27c17b7919797, 0x145b084089b61, 0x489b4f8670301 },
00877         { 0x70d1c80b49bfa, 0x3d57e7d914625, 0x3c0722165e545, 0x5e5b93819e04f, 0x3de02ec7ca8f7 },
00878         { 0x2102d3aeb92ef, 0x68c22d50c3a46, 0x42ea89385894e, 0x75f9ebf55f38c, 0x49f5fbba496cb },
00879     },
00880     {
00881         { 0x5628c1e9c572e, 0x598b108e822ab, 0x55d8fae29361a, 0x0adc8d1a97b28, 0x06a1a6c288675 },
00882         { 0x49a108a5bcfd4, 0x6178c8e7d6612, 0x1f03473710375, 0x73a49614a6098, 0x5604a86dcbfa6 },
00883         { 0x0d1d47c1764b6, 0x01c08316a2e51, 0x2b3db45c95045, 0x1634f818d300c, 0x20989e89fe274 },
00884     },
00885     {
00886         { 0x4278b85eaec2e, 0x0ef59657be2ce, 0x72fd169588770, 0x2e9b205260b30, 0x730b9950f7059 },
00887         { 0x777fd3a2dcc7f, 0x594a9fb124932, 0x01f8e80ca15f0, 0x714d13cec3269, 0x0403ed1d0ca67 },
00888         { 0x32d35874ec552, 0x1f3048df1b929, 0x300d73b179b23, 0x6e67be5a37d0b, 0x5bd7454308303 },
00889     },
00890     {
00891         { 0x4932115e7792a, 0x457b9bbb930b8, 0x68f5d8b193226, 0x4164e8f1ed456, 0x5bb7db123067f },
00892         { 0x2d19528b24cc2, 0x4ac66b8302ff3, 0x701c8d9fdad51, 0x6c1b35c5b3727, 0x133a78007380a },
00893         { 0x1f467c6ca62be, 0x2c4232a5dc12c, 0x7551dc013b087, 0x0690c11b03bcd, 0x740dca6d58f0e },
00894     },
00895 },
00896 {
00897     {
00898         { 0x28c570478433c, 0x1d8502873a463, 0x7641e7eded49c, 0x1ecedd54cf571, 0x2c03f5256c2b0 },
00899         { 0x0ee0752cfce4e, 0x660dd8116fbe9, 0x55167130fffeb, 0x1c682b885955c, 0x161d25fa963ea },
00900         { 0x718757b53a47d, 0x619e18b0f2f21, 0x5fbdfe4c1ec04, 0x5d798c81ebb92, 0x699468bdbd96b },
00901     },
00902     {
00903         { 0x53de66aa91948, 0x045f81a599b1b, 0x3f7a8bd214193, 0x71d4da412331a, 0x293e1c4e6c4a2 },
00904         { 0x72f46f4dafecf, 0x2948ffadef7a3, 0x11ecdfdf3bc04, 0x3c2e98ffeed25, 0x525219a473905 },
00905         { 0x6134b925112e1, 0x6bb942bb406ed, 0x070c445c0dde2, 0x411d822c4d7a3, 0x5b605c447f032 },
00906     },
00907     {
00908         { 0x1fec6f0e7f04c, 0x3cebc692c477d, 0x077986a19a95e, 0x6eaaaa1778b0f, 0x2f12fef4cc5ab },
00909         { 0x5805920c47c89, 0x1924771f9972c, 0x38bbddf9fc040, 0x1f7000092b281, 0x24a76dcea8aeb },
00910         { 0x522b2dfc0c740, 0x7e8193480e148, 0x33fd9a04341b9, 0x3c863678a20bc, 0x5e607b2518a43 },
00911     },
00912     {
00913         { 0x4431ca596cf14, 0x015da7c801405, 0x03c9b6f8f10b5, 0x0346922934017, 0x201f33139e457 },
00914         { 0x31d8f6cdf1818, 0x1f86c4b144b16, 0x39875b8d73e9d, 0x2fbf0d9ffa7b3, 0x5067acab6ccdd },
00915         { 0x27f6b08039d51, 0x4802f8000dfaa, 0x09692a062c525, 0x1baea91075817, 0x397cba8862460 },
00916     },
00917     {
00918         { 0x5c3fbc81379e7, 0x41bbc255e2f02, 0x6a3f756998650, 0x1297fd4e07c42, 0x771b4022c1e1c },
00919         { 0x13093f05959b2, 0x1bd352f2ec618, 0x075789b88ea86, 0x61d1117ea48b9, 0x2339d320766e6 },
00920         { 0x5d986513a2fa7, 0x63f3a99e11b0f, 0x28a0ecfd6b26d, 0x53b6835e18d8f, 0x331a189219971 },
00921     },
00922     {
00923         { 0x12f3a9d7572af, 0x10d00e953c4ca, 0x603df116f2f8a, 0x33dc276e0e088, 0x1ac9619ff649a },
00924         { 0x66f45fb4f80c6, 0x3cc38eeb9fea2, 0x107647270db1f, 0x710f1ea740dc8, 0x31167c6b83bdf },
00925         { 0x33842524b1068, 0x77dd39d30fe45, 0x189432141a0d0, 0x088fe4eb8c225, 0x612436341f08b },
00926     },
00927     {
00928         { 0x349e31a2d2638, 0x0137a7fa6b16c, 0x681ae92777edc, 0x222bfc5f8dc51, 0x1522aa3178d90 },
00929         { 0x541db874e898d, 0x62d80fb841b33, 0x03e6ef027fa97, 0x7a03c9e9633e8, 0x46ebe2309e5ef },
00930         { 0x02f5369614938, 0x356e5ada20587, 0x11bc89f6bf902, 0x036746419c8db, 0x45fe70f505243 },
00931     },
00932     {
00933         { 0x24920c8951491, 0x107ec61944c5e, 0x72752e017c01f, 0x122b7dda2e97a, 0x16619f6db57a2 },
00934         { 0x075a6960c0b8c, 0x6dde1c5e41b49, 0x42e3f516da341, 0x16a03fda8e79e, 0x428d1623a0e39 },
00935         { 0x74a4401a308fd, 0x06ed4b9558109, 0x746f1f6a08867, 0x4636f5c6f2321, 0x1d81592d60bd3 },
00936     },
00937 },
00938 {
00939     {
00940         { 0x5b69f7b85c5e8, 0x17a2d175650ec, 0x4cc3e6dbfc19e, 0x73e1d3873be0e, 0x3a5f6d51b0af8 },
00941         { 0x68756a60dac5f, 0x55d757b8aec26, 0x3383df45f80bd, 0x6783f8c9f96a6, 0x20234a7789ecd },
00942         { 0x20db67178b252, 0x73aa3da2c0eda, 0x79045c01c70d3, 0x1b37b15251059, 0x7cd682353cffe },
00943     },
00944     {
00945         { 0x5cd6068acf4f3, 0x3079afc7a74cc, 0x58097650b64b4, 0x47fabac9c4e99, 0x3ef0253b2b2cd },
00946         { 0x1a45bd887fab6, 0x65748076dc17c, 0x5b98000aa11a8, 0x4a1ecc9080974, 0x2838c8863bdc0 },
00947         { 0x3b0cf4a465030, 0x022b8aef57a2d, 0x2ad0677e925ad, 0x4094167d7457a, 0x21dcb8a606a82 },
00948     },
00949     {
00950         { 0x500fabe7731ba, 0x7cc53c3113351, 0x7cf65fe080d81, 0x3c5d966011ba1, 0x5d840dbf6c6f6 },
00951         { 0x004468c9d9fc8, 0x5da8554796b8c, 0x3b8be70950025, 0x6d5892da6a609, 0x0bc3d08194a31 },
00952         { 0x6380d309fe18b, 0x4d73c2cb8ee0d, 0x6b882adbac0b6, 0x36eabdddd4cbe, 0x3a4276232ac19 },
00953     },
00954     {
00955         { 0x0c172db447ecb, 0x3f8c505b7a77f, 0x6a857f97f3f10, 0x4fcc0567fe03a, 0x0770c9e824e1a },
00956         { 0x2432c8a7084fa, 0x47bf73ca8a968, 0x1639176262867, 0x5e8df4f8010ce, 0x1ff177cea16de },
00957         { 0x1d99a45b5b5fd, 0x523674f2499ec, 0x0f8fa26182613, 0x58f7398048c98, 0x39f264fd41500 },
00958     },
00959     {
00960         { 0x34aabfe097be1, 0x43bfc03253a33, 0x29bc7fe91b7f3, 0x0a761e4844a16, 0x65c621272c35f },
00961         { 0x53417dbe7e29c, 0x54573827394f5, 0x565eea6f650dd, 0x42050748dc749, 0x1712d73468889 },
00962         { 0x389f8ce3193dd, 0x2d424b8177ce5, 0x073fa0d3440cd, 0x139020cd49e97, 0x22f9800ab19ce },
00963     },
00964     {
00965         { 0x29fdd9a6efdac, 0x7c694a9282840, 0x6f7cdeee44b3a, 0x55a3207b25cc3, 0x4171a4d38598c },
00966         { 0x2368a3e9ef8cb, 0x454aa08e2ac0b, 0x490923f8fa700, 0x372aa9ea4582f, 0x13f416cd64762 },
00967         { 0x758aa99c94c8c, 0x5f6001700ff44, 0x7694e488c01bd, 0x0d5fde948eed6, 0x508214fa574bd },
00968     },
00969     {
00970         { 0x215bb53d003d6, 0x1179e792ca8c3, 0x1a0e96ac840a2, 0x22393e2bb3ab6, 0x3a7758a4c86cb },
00971         { 0x269153ed6fe4b, 0x72a23aef89840, 0x052be5299699c, 0x3a5e5ef132316, 0x22f960ec6faba },
00972         { 0x111f693ae5076, 0x3e3bfaa94ca90, 0x445799476b887, 0x24a0912464879, 0x5d9fd15f8de7f },
00973     },
00974     {
00975         { 0x44d2aeed7521e, 0x50865d2c2a7e4, 0x2705b5238ea40, 0x46c70b25d3b97, 0x3bc187fa47eb9 },
00976         { 0x408d36d63727f, 0x5faf8f6a66062, 0x2bb892da8de6b, 0x769d4f0c7e2e6, 0x332f35914f8fb },
00977         { 0x70115ea86c20c, 0x16d88da24ada8, 0x1980622662adf, 0x501ebbc195a9d, 0x450d81ce906fb },
00978     },
00979 },
00980 {
00981     {
00982         { 0x4d8961cae743f, 0x6bdc38c7dba0e, 0x7d3b4a7e1b463, 0x0844bdee2adf3, 0x4cbad279663ab },
00983         { 0x3b6a1a6205275, 0x2e82791d06dcf, 0x23d72caa93c87, 0x5f0b7ab68aaf4, 0x2de25d4ba6345 },
00984         { 0x19024a0d71fcd, 0x15f65115f101a, 0x4e99067149708, 0x119d8d1cba5af, 0x7d7fbcefe2007 },
00985     },
00986     {
00987         { 0x45dc5f3c29094, 0x3455220b579af, 0x070c1631e068a, 0x26bc0630e9b21, 0x4f9cd196dcd8d },
00988         { 0x71e6a266b2801, 0x09aae73e2df5d, 0x40dd8b219b1a3, 0x546fb4517de0d, 0x5975435e87b75 },
00989         { 0x297d86a7b3768, 0x4835a2f4c6332, 0x070305f434160, 0x183dd014e56ae, 0x7ccdd084387a0 },
00990     },
00991     {
00992         { 0x484186760cc93, 0x7435665533361, 0x02f686336b801, 0x5225446f64331, 0x3593ca848190c },
00993         { 0x6422c6d260417, 0x212904817bb94, 0x5a319deb854f5, 0x7a9d4e060da7d, 0x428bd0ed61d0c },
00994         { 0x3189a5e849aa7, 0x6acbb1f59b242, 0x7f6ef4753630c, 0x1f346292a2da9, 0x27398308da2d6 },
00995     },
00996     {
00997         { 0x10e4c0a702453, 0x4daafa37bd734, 0x49f6bdc3e8961, 0x1feffdcecdae6, 0x572c2945492c3 },
00998         { 0x38d28435ed413, 0x4064f19992858, 0x7680fbef543cd, 0x1aadd83d58d3c, 0x269597aebe8c3 },
00999         { 0x7c745d6cd30be, 0x27c7755df78ef, 0x1776833937fa3, 0x5405116441855, 0x7f985498c05bc },
01000     },
01001     {
01002         { 0x615520fbf6363, 0x0b9e9bf74da6a, 0x4fe8308201169, 0x173f76127de43, 0x30f2653cd69b1 },
01003         { 0x1ce889f0be117, 0x36f6a94510709, 0x7f248720016b4, 0x1821ed1e1cf91, 0x76c2ec470a31f },
01004         { 0x0c938aac10c85, 0x41b64ed797141, 0x1beb1c1185e6d, 0x1ed5490600f07, 0x2f1273f159647 },
01005     },
01006     {
01007         { 0x08bd755a70bc0, 0x49e3a885ce609, 0x16585881b5ad6, 0x3c27568d34f5e, 0x38ac1997edc5f },
01008         { 0x1fc7c8ae01e11, 0x2094d5573e8e7, 0x5ca3cbbf549d2, 0x4f920ecc54143, 0x5d9e572ad85b6 },
01009         { 0x6b517a751b13b, 0x0cfd370b180cc, 0x5377925d1f41a, 0x34e56566008a2, 0x22dfcd9cbfe9e },
01010     },
01011     {
01012         { 0x459b4103be0a1, 0x59a4b3f2d2add, 0x7d734c8bb8eeb, 0x2393cbe594a09, 0x0fe9877824cde },
01013         { 0x3d2e0c30d0cd9, 0x3f597686671bb, 0x0aa587eb63999, 0x0e3c7b592c619, 0x6b2916c05448c },
01014         { 0x334d10aba913b, 0x045cdb581cfdb, 0x5e3e0553a8f36, 0x50bb3041effb2, 0x4c303f307ff00 },
01015     },
01016     {
01017         { 0x403580dd94500, 0x48df77d92653f, 0x38a9fe3b349ea, 0x0ea89850aafe1, 0x416b151ab706a },
01018         { 0x23bd617b28c85, 0x6e72ee77d5a61, 0x1a972ff174dde, 0x3e2636373c60f, 0x0d61b8f78b2ab },
01019         { 0x0d7efe9c136b0, 0x1ab1c89640ad5, 0x55f82aef41f97, 0x46957f317ed0d, 0x191a2af74277e },
01020     },
01021 },
01022 {
01023     {
01024         { 0x62b434f460efb, 0x294c6c0fad3fc, 0x68368937b4c0f, 0x5c9f82910875b, 0x237e7dbe00545 },
01025         { 0x6f74bc53c1431, 0x1c40e5dbbd9c2, 0x6c8fb9cae5c97, 0x4845c5ce1b7da, 0x7e2e0e450b5cc },
01026         { 0x575ed6701b430, 0x4d3e17fa20026, 0x791fc888c4253, 0x2f1ba99078ac1, 0x71afa699b1115 },
01027     },
01028     {
01029         { 0x23c1c473b50d6, 0x3e7671de21d48, 0x326fa5547a1e8, 0x50e4dc25fafd9, 0x00731fbc78f89 },
01030         { 0x66f9b3953b61d, 0x555f4283cccb9, 0x7dd67fb1960e7, 0x14707a1affed4, 0x021142e9c2b1c },
01031         { 0x0c71848f81880, 0x44bd9d8233c86, 0x6e8578efe5830, 0x4045b6d7041b5, 0x4c4d6f3347e15 },
01032     },
01033     {
01034         { 0x4ddfc988f1970, 0x4f6173ea365e1, 0x645daf9ae4588, 0x7d43763db623b, 0x38bf9500a88f9 },
01035         { 0x7eccfc17d1fc9, 0x4ca280782831e, 0x7b8337db1d7d6, 0x5116def3895fb, 0x193fddaaa7e47 },
01036         { 0x2c93c37e8876f, 0x3431a28c583fa, 0x49049da8bd879, 0x4b4a8407ac11c, 0x6a6fb99ebf0d4 },
01037     },
01038     {
01039         { 0x122b5b6e423c6, 0x21e50dff1ddd6, 0x73d76324e75c0, 0x588485495418e, 0x136fda9f42c5e },
01040         { 0x6c1bb560855eb, 0x71f127e13ad48, 0x5c6b304905aec, 0x3756b8e889bc7, 0x75f76914a3189 },
01041         { 0x4dfb1a305bdd1, 0x3b3ff05811f29, 0x6ed62283cd92e, 0x65d1543ec52e1, 0x022183510be8d },
01042     },
01043     {
01044         { 0x2710143307a7f, 0x3d88fb48bf3ab, 0x249eb4ec18f7a, 0x136115dff295f, 0x1387c441fd404 },
01045         { 0x766385ead2d14, 0x0194f8b06095e, 0x08478f6823b62, 0x6018689d37308, 0x6a071ce17b806 },
01046         { 0x3c3d187978af8, 0x7afe1c88276ba, 0x51df281c8ad68, 0x64906bda4245d, 0x3171b26aaf1ed },
01047     },
01048     {
01049         { 0x5b7d8b28a47d1, 0x2c2ee149e34c1, 0x776f5629afc53, 0x1f4ea50fc49a9, 0x6c514a6334424 },
01050         { 0x7319097564ca8, 0x1844ebc233525, 0x21d4543fdeee1, 0x1ad27aaff1bd2, 0x221fd4873cf08 },
01051         { 0x2204f3a156341, 0x537414065a464, 0x43c0c3bedcf83, 0x5557e706ea620, 0x48daa596fb924 },
01052     },
01053     {
01054         { 0x61d5dc84c9793, 0x47de83040c29e, 0x189deb26507e7, 0x4d4e6fadc479a, 0x58c837fa0e8a7 },
01055         { 0x28e665ca59cc7, 0x165c715940dd9, 0x0785f3aa11c95, 0x57b98d7e38469, 0x676dd6fccad84 },
01056         { 0x1688596fc9058, 0x66f6ad403619f, 0x4d759a87772ef, 0x7856e6173bea4, 0x1c4f73f2c6a57 },
01057     },
01058     {
01059         { 0x6706efc7c3484, 0x6987839ec366d, 0x0731f95cf7f26, 0x3ae758ebce4bc, 0x70459adb7daf6 },
01060         { 0x24fbd305fa0bb, 0x40a98cc75a1cf, 0x78ce1220a7533, 0x6217a10e1c197, 0x795ac80d1bf64 },
01061         { 0x1db4991b42bb3, 0x469605b994372, 0x631e3715c9a58, 0x7e9cfefcf728f, 0x5fe162848ce21 },
01062     },
01063 },
01064 {
01065     {
01066         { 0x1852d5d7cb208, 0x60d0fbe5ce50f, 0x5a1e246e37b75, 0x51aee05ffd590, 0x2b44c043677da },
01067         { 0x1214fe194961a, 0x0e1ae39a9e9cb, 0x543c8b526f9f7, 0x119498067e91d, 0x4789d446fc917 },
01068         { 0x487ab074eb78e, 0x1d33b5e8ce343, 0x13e419feb1b46, 0x2721f565de6a4, 0x60c52eef2bb9a },
01069     },
01070     {
01071         { 0x3c5c27cae6d11, 0x36a9491956e05, 0x124bac9131da6, 0x3b6f7de202b5d, 0x70d77248d9b66 },
01072         { 0x589bc3bfd8bf1, 0x6f93e6aa3416b, 0x4c0a3d6c1ae48, 0x55587260b586a, 0x10bc9c312ccfc },
01073         { 0x2e84b3ec2a05b, 0x69da2f03c1551, 0x23a174661a67b, 0x209bca289f238, 0x63755bd3a976f },
01074     },
01075     {
01076         { 0x7101897f1acb7, 0x3d82cb77b07b8, 0x684083d7769f5, 0x52b28472dce07, 0x2763751737c52 },
01077         { 0x7a03e2ad10853, 0x213dcc6ad36ab, 0x1a6e240d5bdd6, 0x7c24ffcf8fedf, 0x0d8cc1c48bc16 },
01078         { 0x402d36eb419a9, 0x7cef68c14a052, 0x0f1255bc2d139, 0x373e7d431186a, 0x70c2dd8a7ad16 },
01079     },
01080     {
01081         { 0x4967db8ed7e13, 0x15aeed02f523a, 0x6149591d094bc, 0x672f204c17006, 0x32b8613816a53 },
01082         { 0x194509f6fec0e, 0x528d8ca31acac, 0x7826d73b8b9fa, 0x24acb99e0f9b3, 0x2e0fac6363948 },
01083         { 0x7f7bee448cd64, 0x4e10f10da0f3c, 0x3936cb9ab20e9, 0x7a0fc4fea6cd0, 0x4179215c735a4 },
01084     },
01085     {
01086         { 0x633b9286bcd34, 0x6cab3badb9c95, 0x74e387edfbdfa, 0x14313c58a0fd9, 0x31fa85662241c },
01087         { 0x094e7d7dced2a, 0x068fa738e118e, 0x41b640a5fee2b, 0x6bb709df019d4, 0x700344a30cd99 },
01088         { 0x26c422e3622f4, 0x0f3066a05b5f0, 0x4e2448f0480a6, 0x244cde0dbf095, 0x24bb2312a9952 },
01089     },
01090     {
01091         { 0x00c2af5f85c6b, 0x0609f4cf2883f, 0x6e86eb5a1ca13, 0x68b44a2efccd1, 0x0d1d2af9ffeb5 },
01092         { 0x0ed1732de67c3, 0x308c369291635, 0x33ef348f2d250, 0x004475ea1a1bb, 0x0fee3e871e188 },
01093         { 0x28aa132621edf, 0x42b244caf353b, 0x66b064cc2e08a, 0x6bb20020cbdd3, 0x16acd79718531 },
01094     },
01095     {
01096         { 0x1c6c57887b6ad, 0x5abf21fd7592b, 0x50bd41253867a, 0x3800b71273151, 0x164ed34b18161 },
01097         { 0x772af2d9b1d3d, 0x6d486448b4e5b, 0x2ce58dd8d18a8, 0x1849f67503c8b, 0x123e0ef6b9302 },
01098         { 0x6d94c192fe69a, 0x5475222a2690f, 0x693789d86b8b3, 0x1f5c3bdfb69dc, 0x78da0fc61073f },
01099     },
01100     {
01101         { 0x780f1680c3a94, 0x2a35d3cfcd453, 0x005e5cdc7ddf8, 0x6ee888078ac24, 0x054aa4b316b38 },
01102         { 0x15d28e52bc66a, 0x30e1e0351cb7e, 0x30a2f74b11f8c, 0x39d120cd7de03, 0x2d25deeb256b1 },
01103         { 0x0468d19267cb8, 0x38cdca9b5fbf9, 0x1bbb05c2ca1e2, 0x3b015758e9533, 0x134610a6ab7da },
01104     },
01105 },
01106 {
01107     {
01108         { 0x265e777d1f515, 0x0f1f54c1e39a5, 0x2f01b95522646, 0x4fdd8db9dde6d, 0x654878cba97cc },
01109         { 0x38ec78df6b0fe, 0x13caebea36a22, 0x5ebc6e54e5f6a, 0x32804903d0eb8, 0x2102fdba2b20d },
01110         { 0x6e405055ce6a1, 0x5024a35a532d3, 0x1f69054daf29d, 0x15d1d0d7a8bd5, 0x0ad725db29ecb },
01111     },
01112     {
01113         { 0x7bc0c9b056f85, 0x51cfebffaffd8, 0x44abbe94df549, 0x7ecbbd7e33121, 0x4f675f5302399 },
01114         { 0x267b1834e2457, 0x6ae19c378bb88, 0x7457b5ed9d512, 0x3280d783d05fb, 0x4aefcffb71a03 },
01115         { 0x536360415171e, 0x2313309077865, 0x251444334afbc, 0x2b0c3853756e8, 0x0bccbb72a2a86 },
01116     },
01117     {
01118         { 0x55e4c50fe1296, 0x05fdd13efc30d, 0x1c0c6c380e5ee, 0x3e11de3fb62a8, 0x6678fd69108f3 },
01119         { 0x6962feab1a9c8, 0x6aca28fb9a30b, 0x56db7ca1b9f98, 0x39f58497018dd, 0x4024f0ab59d6b },
01120         { 0x6fa31636863c2, 0x10ae5a67e42b0, 0x27abbf01fda31, 0x380a7b9e64fbc, 0x2d42e2108ead4 },
01121     },
01122     {
01123         { 0x17b0d0f537593, 0x16263c0c9842e, 0x4ab827e4539a4, 0x6370ddb43d73a, 0x420bf3a79b423 },
01124         { 0x5131594dfd29b, 0x3a627e98d52fe, 0x1154041855661, 0x19175d09f8384, 0x676b2608b8d2d },
01125         { 0x0ba651c5b2b47, 0x5862363701027, 0x0c4d6c219c6db, 0x0f03dff8658de, 0x745d2ffa9c0cf },
01126     },
01127     {
01128         { 0x6df5721d34e6a, 0x4f32f767a0c06, 0x1d5abeac76e20, 0x41ce9e104e1e4, 0x06e15be54c1dc },
01129         { 0x25a1e2bc9c8bd, 0x104c8f3b037ea, 0x405576fa96c98, 0x2e86a88e3876f, 0x1ae23ceb960cf },
01130         { 0x25d871932994a, 0x6b9d63b560b6e, 0x2df2814c8d472, 0x0fbbee20aa4ed, 0x58ded861278ec },
01131     },
01132     {
01133         { 0x35ba8b6c2c9a8, 0x1dea58b3185bf, 0x4b455cd23bbbe, 0x5ec19c04883f8, 0x08ba696b531d5 },
01134         { 0x73793f266c55c, 0x0b988a9c93b02, 0x09b0ea32325db, 0x37cae71c17c5e, 0x2ff39de85485f },
01135         { 0x53eeec3efc57a, 0x2fa9fe9022efd, 0x699c72c138154, 0x72a751ebd1ff8, 0x120633b4947cf },
01136     },
01137     {
01138         { 0x531474912100a, 0x5afcdf7c0d057, 0x7a9e71b788ded, 0x5ef708f3b0c88, 0x07433be3cb393 },
01139         { 0x4987891610042, 0x79d9d7f5d0172, 0x3c293013b9ec4, 0x0c2b85f39caca, 0x35d30a99b4d59 },
01140         { 0x144c05ce997f4, 0x4960b8a347fef, 0x1da11f15d74f7, 0x54fac19c0fead, 0x2d873ede7af6d },
01141     },
01142     {
01143         { 0x202e14e5df981, 0x2ea02bc3eb54c, 0x38875b2883564, 0x1298c513ae9dd, 0x0543618a01600 },
01144         { 0x2316443373409, 0x5de95503b22af, 0x699201beae2df, 0x3db5849ff737a, 0x2e773654707fa },
01145         { 0x2bdf4974c23c1, 0x4b3b9c8d261bd, 0x26ae8b2a9bc28, 0x3068210165c51, 0x4b1443362d079 },
01146     },
01147 },
01148 {
01149     {
01150         { 0x454e91c529ccb, 0x24c98c6bf72cf, 0x0486594c3d89a, 0x7ae13a3d7fa3c, 0x17038418eaf66 },
01151         { 0x4b7c7b66e1f7a, 0x4bea185efd998, 0x4fabc711055f8, 0x1fb9f7836fe38, 0x582f446752da6 },
01152         { 0x17bd320324ce4, 0x51489117898c6, 0x1684d92a0410b, 0x6e4d90f78c5a7, 0x0c2a1c4bcda28 },
01153     },
01154     {
01155         { 0x4814869bd6945, 0x7b7c391a45db8, 0x57316ac35b641, 0x641e31de9096a, 0x5a6a9b30a314d },
01156         { 0x5c7d06f1f0447, 0x7db70f80b3a49, 0x6cb4a3ec89a78, 0x43be8ad81397d, 0x7c558bd1c6f64 },
01157         { 0x41524d396463d, 0x1586b449e1a1d, 0x2f17e904aed8a, 0x7e1d2861d3c8e, 0x0404a5ca0afba },
01158     },
01159     {
01160         { 0x49e1b2a416fd1, 0x51c6a0b316c57, 0x575a59ed71bdc, 0x74c021a1fec1e, 0x39527516e7f8e },
01161         { 0x740070aa743d6, 0x16b64cbdd1183, 0x23f4b7b32eb43, 0x319aba58235b3, 0x46395bfdcadd9 },
01162         { 0x7db2d1a5d9a9c, 0x79a200b85422f, 0x355bfaa71dd16, 0x00b77ea5f78aa, 0x76579a29e822d },
01163     },
01164     {
01165         { 0x4b51352b434f2, 0x1327bd01c2667, 0x434d73b60c8a1, 0x3e0daa89443ba, 0x02c514bb2a277 },
01166         { 0x68e7e49c02a17, 0x45795346fe8b6, 0x089306c8f3546, 0x6d89f6b2f88f6, 0x43a384dc9e05b },
01167         { 0x3d5da8bf1b645, 0x7ded6a96a6d09, 0x6c3494fee2f4d, 0x02c989c8b6bd4, 0x1160920961548 },
01168     },
01169     {
01170         { 0x05616369b4dcd, 0x4ecab86ac6f47, 0x3c60085d700b2, 0x0213ee10dfcea, 0x2f637d7491e6e },
01171         { 0x5166929dacfaa, 0x190826b31f689, 0x4f55567694a7d, 0x705f4f7b1e522, 0x351e125bc5698 },
01172         { 0x49b461af67bbe, 0x75915712c3a96, 0x69a67ef580c0d, 0x54d38ef70cffc, 0x7f182d06e7ce2 },
01173     },
01174     {
01175         { 0x54b728e217522, 0x69a90971b0128, 0x51a40f2a963a3, 0x10be9ac12a6bf, 0x44acc043241c5 },
01176         { 0x48e64ab0168ec, 0x2a2bdb8a86f4f, 0x7343b6b2d6929, 0x1d804aa8ce9a3, 0x67d4ac8c343e9 },
01177         { 0x56bbb4f7a5777, 0x29230627c238f, 0x5ad1a122cd7fb, 0x0dea56e50e364, 0x556d1c8312ad7 },
01178     },
01179     {
01180         { 0x06756b11be821, 0x462147e7bb03e, 0x26519743ebfe0, 0x782fc59682ab5, 0x097abe38cc8c7 },
01181         { 0x740e30c8d3982, 0x7c2b47f4682fd, 0x5cd91b8c7dc1c, 0x77fa790f9e583, 0x746c6c6d1d824 },
01182         { 0x1c9877ea52da4, 0x2b37b83a86189, 0x733af49310da5, 0x25e81161c04fb, 0x577e14a34bee8 },
01183     },
01184     {
01185         { 0x6cebebd4dd72b, 0x340c1e442329f, 0x32347ffd1a93f, 0x14a89252cbbe0, 0x705304b8fb009 },
01186         { 0x268ac61a73b0a, 0x206f234bebe1c, 0x5b403a7cbebe8, 0x7a160f09f4135, 0x60fa7ee96fd78 },
01187         { 0x51d354d296ec6, 0x7cbf5a63b16c7, 0x2f50bb3cf0c14, 0x1feb385cac65a, 0x21398e0ca1635 },
01188     },
01189 },
01190 {
01191     {
01192         { 0x0aaf9b4b75601, 0x26b91b5ae44f3, 0x6de808d7ab1c8, 0x6a769675530b0, 0x1bbfb284e98f7 },
01193         { 0x5058a382b33f3, 0x175a91816913e, 0x4f6cdb96b8ae8, 0x17347c9da81d2, 0x5aa3ed9d95a23 },
01194         { 0x777e9c7d96561, 0x28e58f006ccac, 0x541bbbb2cac49, 0x3e63282994cec, 0x4a07e14e5e895 },
01195     },
01196     {
01197         { 0x358cdc477a49b, 0x3cc88fe02e481, 0x721aab7f4e36b, 0x0408cc9469953, 0x50af7aed84afa },
01198         { 0x412cb980df999, 0x5e78dd8ee29dc, 0x171dff68c575d, 0x2015dd2f6ef49, 0x3f0bac391d313 },
01199         { 0x7de0115f65be5, 0x4242c21364dc9, 0x6b75b64a66098, 0x0033c0102c085, 0x1921a316baebd },
01200     },
01201     {
01202         { 0x2ad9ad9f3c18b, 0x5ec1638339aeb, 0x5703b6559a83b, 0x3fa9f4d05d612, 0x7b049deca062c },
01203         { 0x22f7edfb870fc, 0x569eed677b128, 0x30937dcb0a5af, 0x758039c78ea1b, 0x6458df41e273a },
01204         { 0x3e37a35444483, 0x661fdb7d27b99, 0x317761dd621e4, 0x7323c30026189, 0x6093dccbc2950 },
01205     },
01206     {
01207         { 0x6eebe6084034b, 0x6cf01f70a8d7b, 0x0b41a54c6670a, 0x6c84b99bb55db, 0x6e3180c98b647 },
01208         { 0x39a8585e0706d, 0x3167ce72663fe, 0x63d14ecdb4297, 0x4be21dcf970b8, 0x57d1ea084827a },
01209         { 0x2b6e7a128b071, 0x5b27511755dcf, 0x08584c2930565, 0x68c7bda6f4159, 0x363e999ddd97b },
01210     },
01211     {
01212         { 0x048dce24baec6, 0x2b75795ec05e3, 0x3bfa4c5da6dc9, 0x1aac8659e371e, 0x231f979bc6f9b },
01213         { 0x043c135ee1fc4, 0x2a11c9919f2d5, 0x6334cc25dbacd, 0x295da17b400da, 0x48ee9b78693a0 },
01214         { 0x1de4bcc2af3c6, 0x61fc411a3eb86, 0x53ed19ac12ec0, 0x209dbc6b804e0, 0x079bfa9b08792 },
01215     },
01216     {
01217         { 0x1ed80a2d54245, 0x70efec72a5e79, 0x42151d42a822d, 0x1b5ebb6d631e8, 0x1ef4fb1594706 },
01218         { 0x03a51da300df4, 0x467b52b561c72, 0x4d5920210e590, 0x0ca769e789685, 0x038c77f684817 },
01219         { 0x65ee65b167bec, 0x052da19b850a9, 0x0408665656429, 0x7ab39596f9a4c, 0x575ee92a4a0bf },
01220     },
01221     {
01222         { 0x6bc450aa4d801, 0x4f4a6773b0ba8, 0x6241b0b0ebc48, 0x40d9c4f1d9315, 0x200a1e7e382f5 },
01223         { 0x080908a182fcf, 0x0532913b7ba98, 0x3dccf78c385c3, 0x68002dd5eaba9, 0x43d4e7112cd3f },
01224         { 0x5b967eaf93ac5, 0x360acca580a31, 0x1c65fd5c6f262, 0x71c7f15c2ecab, 0x050eca52651e4 },
01225     },
01226     {
01227         { 0x4397660e668ea, 0x7c2a75692f2f5, 0x3b29e7e6c66ef, 0x72ba658bcda9a, 0x6151c09fa131a },
01228         { 0x31ade453f0c9c, 0x3dfee07737868, 0x611ecf7a7d411, 0x2637e6cbd64f6, 0x4b0ee6c21c58f },
01229         { 0x55c0dfdf05d96, 0x405569dcf475e, 0x05c5c277498bb, 0x18588d95dc389, 0x1fef24fa800f0 },
01230     },
01231 },
01232 {
01233     {
01234         { 0x2aff530976b86, 0x0d85a48c0845a, 0x796eb963642e0, 0x60bee50c4b626, 0x28005fe6c8340 },
01235         { 0x653fb1aa73196, 0x607faec8306fa, 0x4e85ec83e5254, 0x09f56900584fd, 0x544d49292fc86 },
01236         { 0x7ba9f34528688, 0x284a20fb42d5d, 0x3652cd9706ffe, 0x6fd7baddde6b3, 0x72e472930f316 },
01237     },
01238     {
01239         { 0x3f635d32a7627, 0x0cbecacde00fe, 0x3411141eaa936, 0x21c1e42f3cb94, 0x1fee7f000fe06 },
01240         { 0x5208c9781084f, 0x16468a1dc24d2, 0x7bf780ac540a8, 0x1a67eced75301, 0x5a9d2e8c2733a },
01241         { 0x305da03dbf7e5, 0x1228699b7aeca, 0x12a23b2936bc9, 0x2a1bda56ae6e9, 0x00f94051ee040 },
01242     },
01243     {
01244         { 0x793bb07af9753, 0x1e7b6ecd4fafd, 0x02c7b1560fb43, 0x2296734cc5fb7, 0x47b7ffd25dd40 },
01245         { 0x56b23c3d330b2, 0x37608e360d1a6, 0x10ae0f3c8722e, 0x086d9b618b637, 0x07d79c7e8beab },
01246         { 0x3fb9cbc08dd12, 0x75c3dd85370ff, 0x47f06fe2819ac, 0x5db06ab9215ed, 0x1c3520a35ea64 },
01247     },
01248     {
01249         { 0x06f40216bc059, 0x3a2579b0fd9b5, 0x71c26407eec8c, 0x72ada4ab54f0b, 0x38750c3b66d12 },
01250         { 0x253a6bccba34a, 0x427070433701a, 0x20b8e58f9870e, 0x337c861db00cc, 0x1c3d05775d0ee },
01251         { 0x6f1409422e51a, 0x7856bbece2d25, 0x13380a72f031c, 0x43e1080a7f3ba, 0x0621e2c7d3304 },
01252     },
01253     {
01254         { 0x61796b0dbf0f3, 0x73c2f9c32d6f5, 0x6aa8ed1537ebe, 0x74e92c91838f4, 0x5d8e589ca1002 },
01255         { 0x060cc8259838d, 0x038d3f35b95f3, 0x56078c243a923, 0x2de3293241bb2, 0x0007d6097bd3a },
01256         { 0x71d950842a94b, 0x46b11e5c7d817, 0x5478bbecb4f0d, 0x7c3054b0a1c5d, 0x1583d7783c1cb },
01257     },
01258     {
01259         { 0x34704cc9d28c7, 0x3dee598b1f200, 0x16e1c98746d9e, 0x4050b7095afdf, 0x4958064e83c55 },
01260         { 0x6a2ef5da27ae1, 0x28aace02e9d9d, 0x02459e965f0e8, 0x7b864d3150933, 0x252a5f2e81ed8 },
01261         { 0x094265066e80d, 0x0a60f918d61a5, 0x0444bf7f30fde, 0x1c40da9ed3c06, 0x079c170bd843b },
01262     },
01263     {
01264         { 0x6cd50c0d5d056, 0x5b7606ae779ba, 0x70fbd226bdda1, 0x5661e53391ff9, 0x6768c0d7317b8 },
01265         { 0x6ece464fa6fff, 0x3cc40bca460a0, 0x6e3a90afb8d0c, 0x5801abca11228, 0x6dec05e34ac9f },
01266         { 0x625e5f155c1b3, 0x4f32f6f723296, 0x5ac980105efce, 0x17a61165eee36, 0x51445e14ddcd5 },
01267     },
01268     {
01269         { 0x147ab2bbea455, 0x1f240f2253126, 0x0c3de9e314e89, 0x21ea5a4fca45f, 0x12e990086e4fd },
01270         { 0x02b4b3b144951, 0x5688977966aea, 0x18e176e399ffd, 0x2e45c5eb4938b, 0x13186f31e3929 },
01271         { 0x496b37fdfbb2e, 0x3c2439d5f3e21, 0x16e60fe7e6a4d, 0x4d7ef889b621d, 0x77b2e3f05d3e9 },
01272     },
01273 },
01274 {
01275     {
01276         { 0x0639c12ddb0a4, 0x6180490cd7ab3, 0x3f3918297467c, 0x74568be1781ac, 0x07a195152e095 },
01277         { 0x7a9c59c2ec4de, 0x7e9f09e79652d, 0x6a3e422f22d86, 0x2ae8e3b836c8b, 0x63b795fc7ad32 },
01278         { 0x68f02389e5fc8, 0x059f1bc877506, 0x504990e410cec, 0x09bd7d0feaee2, 0x3e8fe83d032f0 },
01279     },
01280     {
01281         { 0x04c8de8efd13c, 0x1c67c06e6210e, 0x183378f7f146a, 0x64352ceaed289, 0x22d60899a6258 },
01282         { 0x315b90570a294, 0x60ce108a925f1, 0x6eff61253c909, 0x003ef0e2d70b0, 0x75ba3b797fac4 },
01283         { 0x1dbc070cdd196, 0x16d8fb1534c47, 0x500498183fa2a, 0x72f59c423de75, 0x0904d07b87779 },
01284     },
01285     {
01286         { 0x22d6648f940b9, 0x197a5a1873e86, 0x207e4c41a54bc, 0x5360b3b4bd6d0, 0x6240aacebaf72 },
01287         { 0x61fd4ddba919c, 0x7d8e991b55699, 0x61b31473cc76c, 0x7039631e631d6, 0x43e2143fbc1dd },
01288         { 0x4749c5ba295a0, 0x37946fa4b5f06, 0x724c5ab5a51f1, 0x65633789dd3f3, 0x56bdaf238db40 },
01289     },
01290     {
01291         { 0x0d36cc19d3bb2, 0x6ec4470d72262, 0x6853d7018a9ae, 0x3aa3e4dc2c8eb, 0x03aa31507e1e5 },
01292         { 0x2b9e3f53533eb, 0x2add727a806c5, 0x56955c8ce15a3, 0x18c4f070a290e, 0x1d24a86d83741 },
01293         { 0x47648ffd4ce1f, 0x60a9591839e9d, 0x424d5f38117ab, 0x42cc46912c10e, 0x43b261dc9aeb4 },
01294     },
01295     {
01296         { 0x13d8b6c951364, 0x4c0017e8f632a, 0x53e559e53f9c4, 0x4b20146886eea, 0x02b4d5e242940 },
01297         { 0x31e1988bb79bb, 0x7b82f46b3bcab, 0x0f7a8ce827b41, 0x5e15816177130, 0x326055cf5b276 },
01298         { 0x155cb28d18df2, 0x0c30d9ca11694, 0x2090e27ab3119, 0x208624e7a49b6, 0x27a6c809ae5d3 },
01299     },
01300     {
01301         { 0x4270ac43d6954, 0x2ed4cd95659a5, 0x75c0db37528f9, 0x2ccbcfd2c9234, 0x221503603d8c2 },
01302         { 0x6ebcd1f0db188, 0x74ceb4b7d1174, 0x7d56168df4f5c, 0x0bf79176fd18a, 0x2cb67174ff60a },
01303         { 0x6cdf9390be1d0, 0x08e519c7e2b3d, 0x253c3d2a50881, 0x21b41448e333d, 0x7b1df4b73890f },
01304     },
01305     {
01306         { 0x6221807f8f58c, 0x3fa92813a8be5, 0x6da98c38d5572, 0x01ed95554468f, 0x68698245d352e },
01307         { 0x2f2e0b3b2a224, 0x0c56aa22c1c92, 0x5fdec39f1b278, 0x4c90af5c7f106, 0x61fcef2658fc5 },
01308         { 0x15d852a18187a, 0x270dbb59afb76, 0x7db120bcf92ab, 0x0e7a25d714087, 0x46cf4c473daf0 },
01309     },
01310     {
01311         { 0x46ea7f1498140, 0x70725690a8427, 0x0a73ae9f079fb, 0x2dd924461c62b, 0x1065aae50d8cc },
01312         { 0x525ed9ec4e5f9, 0x022d20660684c, 0x7972b70397b68, 0x7a03958d3f965, 0x29387bcd14eb5 },
01313         { 0x44525df200d57, 0x2d7f94ce94385, 0x60d00c170ecb7, 0x38b0503f3d8f0, 0x69a198e64f1ce },
01314     },
01315 },
01316 {
01317     {
01318         { 0x14434dcc5caed, 0x2c7909f667c20, 0x61a839d1fb576, 0x4f23800cabb76, 0x25b2697bd267f },
01319         { 0x2b2e0d91a78bc, 0x3990a12ccf20c, 0x141c2e11f2622, 0x0dfcefaa53320, 0x7369e6a92493a },
01320         { 0x73ffb13986864, 0x3282bb8f713ac, 0x49ced78f297ef, 0x6697027661def, 0x1420683db54e4 },
01321     },
01322     {
01323         { 0x6bb6fc1cc5ad0, 0x532c8d591669d, 0x1af794da86c33, 0x0e0e9d86d24d3, 0x31e83b4161d08 },
01324         { 0x0bd1e249dd197, 0x00bcb1820568f, 0x2eab1718830d4, 0x396fd816997e6, 0x60b63bebf508a },
01325         { 0x0c7129e062b4f, 0x1e526415b12fd, 0x461a0fd27923d, 0x18badf670a5b7, 0x55cf1eb62d550 },
01326     },
01327     {
01328         { 0x6b5e37df58c52, 0x3bcf33986c60e, 0x44fb8835ceae7, 0x099dec18e71a4, 0x1a56fbaa62ba0 },
01329         { 0x1101065c23d58, 0x5aa1290338b0f, 0x3157e9e2e7421, 0x0ea712017d489, 0x669a656457089 },
01330         { 0x66b505c9dc9ec, 0x774ef86e35287, 0x4d1d944c0955e, 0x52e4c39d72b20, 0x13c4836799c58 },
01331     },
01332     {
01333         { 0x4fb6a5d8bd080, 0x58ae34908589b, 0x3954d977baf13, 0x413ea597441dc, 0x50bdc87dc8e5b },
01334         { 0x25d465ab3e1b9, 0x0f8fe27ec2847, 0x2d6e6dbf04f06, 0x3038cfc1b3276, 0x66f80c93a637b },
01335         { 0x537836edfe111, 0x2be02357b2c0d, 0x6dcee58c8d4f8, 0x2d732581d6192, 0x1dd56444725fd },
01336     },
01337     {
01338         { 0x7e60008bac89a, 0x23d5c387c1852, 0x79e5df1f533a8, 0x2e6f9f1c5f0cf, 0x3a3a450f63a30 },
01339         { 0x47ff83362127d, 0x08e39af82b1f4, 0x488322ef27dab, 0x1973738a2a1a4, 0x0e645912219f7 },
01340         { 0x72f31d8394627, 0x07bd294a200f1, 0x665be00e274c6, 0x43de8f1b6368b, 0x318c8d9393a9a },
01341     },
01342     {
01343         { 0x69e29ab1dd398, 0x30685b3c76bac, 0x565cf37f24859, 0x57b2ac28efef9, 0x509a41c325950 },
01344         { 0x45d032afffe19, 0x12fe49b6cde4e, 0x21663bc327cf1, 0x18a5e4c69f1dd, 0x224c7c679a1d5 },
01345         { 0x06edca6f925e9, 0x68c8363e677b8, 0x60cfa25e4fbcf, 0x1c4c17609404e, 0x05bff02328a11 },
01346     },
01347     {
01348         { 0x1a0dd0dc512e4, 0x10894bf5fcd10, 0x52949013f9c37, 0x1f50fba4735c7, 0x576277cdee01a },
01349         { 0x2137023cae00b, 0x15a3599eb26c6, 0x0687221512b3c, 0x253cb3a0824e9, 0x780b8cc3fa2a4 },
01350         { 0x38abc234f305f, 0x7a280bbc103de, 0x398a836695dfe, 0x3d0af41528a1a, 0x5ff418726271b },
01351     },
01352     {
01353         { 0x347e813b69540, 0x76864c21c3cbb, 0x1e049dbcd74a8, 0x5b4d60f93749c, 0x29d4db8ca0a0c },
01354         { 0x6080c1789db9d, 0x4be7cef1ea731, 0x2f40d769d8080, 0x35f7d4c44a603, 0x106a03dc25a96 },
01355         { 0x50aaf333353d0, 0x4b59a613cbb35, 0x223dfc0e19a76, 0x77d1e2bb2c564, 0x4ab38a51052cb },
01356     },
01357 },
01358 {
01359     {
01360         { 0x7d1ef5fddc09c, 0x7beeaebb9dad9, 0x058d30ba0acfb, 0x5cd92eab5ae90, 0x3041c6bb04ed2 },
01361         { 0x42b256768d593, 0x2e88459427b4f, 0x02b3876630701, 0x34878d405eae5, 0x29cdd1adc088a },
01362         { 0x2f2f9d956e148, 0x6b3e6ad65c1fe, 0x5b00972b79e5d, 0x53d8d234c5daf, 0x104bbd6814049 },
01363     },
01364     {
01365         { 0x59a5fd67ff163, 0x3a998ead0352b, 0x083c95fa4af9a, 0x6fadbfc01266f, 0x204f2a20fb072 },
01366         { 0x0fd3168f1ed67, 0x1bb0de7784a3e, 0x34bcb78b20477, 0x0a4a26e2e2182, 0x5be8cc57092a7 },
01367         { 0x43b3d30ebb079, 0x357aca5c61902, 0x5b570c5d62455, 0x30fb29e1e18c7, 0x2570fb17c2791 },
01368     },
01369     {
01370         { 0x6a9550bb8245a, 0x511f20a1a2325, 0x29324d7239bee, 0x3343cc37516c4, 0x241c5f91de018 },
01371         { 0x2367f2cb61575, 0x6c39ac04d87df, 0x6d4958bd7e5bd, 0x566f4638a1532, 0x3dcb65ea53030 },
01372         { 0x0172940de6caa, 0x6045b2e67451b, 0x56c07463efcb3, 0x0728b6bfe6e91, 0x08420edd5fcdf },
01373     },
01374     {
01375         { 0x0c34e04f410ce, 0x344edc0d0a06b, 0x6e45486d84d6d, 0x44e2ecb3863f5, 0x04d654f321db8 },
01376         { 0x720ab8362fa4a, 0x29c4347cdd9bf, 0x0e798ad5f8463, 0x4fef18bcb0bfe, 0x0d9a53efbc176 },
01377         { 0x5c116ddbdb5d5, 0x6d1b4bba5abcf, 0x4d28a48a5537a, 0x56b8e5b040b99, 0x4a7a4f2618991 },
01378     },
01379     {
01380         { 0x3b291af372a4b, 0x60e3028fe4498, 0x2267bca4f6a09, 0x719eec242b243, 0x4a96314223e0e },
01381         { 0x718025fb15f95, 0x68d6b8371fe94, 0x3804448f7d97c, 0x42466fe784280, 0x11b50c4cddd31 },
01382         { 0x0274408a4ffd6, 0x7d382aedb34dd, 0x40acfc9ce385d, 0x628bb99a45b1e, 0x4f4bce4dce6bc },
01383     },
01384     {
01385         { 0x2616ec49d0b6f, 0x1f95d8462e61c, 0x1ad3e9b9159c6, 0x79ba475a04df9, 0x3042cee561595 },
01386         { 0x7ce5ae2242584, 0x2d25eb153d4e3, 0x3a8f3d09ba9c9, 0x0f3690d04eb8e, 0x73fcdd14b71c0 },
01387         { 0x67079449bac41, 0x5b79c4621484f, 0x61069f2156b8d, 0x0eb26573b10af, 0x389e740c9a9ce },
01388     },
01389     {
01390         { 0x578f6570eac28, 0x644f2339c3937, 0x66e47b7956c2c, 0x34832fe1f55d0, 0x25c425e5d6263 },
01391         { 0x4b3ae34dcb9ce, 0x47c691a15ac9f, 0x318e06e5d400c, 0x3c422d9f83eb1, 0x61545379465a6 },
01392         { 0x606a6f1d7de6e, 0x4f1c0c46107e7, 0x229b1dcfbe5d8, 0x3acc60a7b1327, 0x6539a08915484 },
01393     },
01394     {
01395         { 0x4dbd414bb4a19, 0x7930849f1dbb8, 0x329c5a466caf0, 0x6c824544feb9b, 0x0f65320ef019b },
01396         { 0x21f74c3d2f773, 0x024b88d08bd3a, 0x6e678cf054151, 0x43631272e747c, 0x11c5e4aac5cd1 },
01397         { 0x6d1b1cafde0c6, 0x462c76a303a90, 0x3ca4e693cff9b, 0x3952cd45786fd, 0x4cabc7bdec330 },
01398     },
01399 },
01400 {
01401     {
01402         { 0x7788f3f78d289, 0x5942809b3f811, 0x5973277f8c29c, 0x010f93bc5fe67, 0x7ee498165acb2 },
01403         { 0x69624089c0a2e, 0x0075fc8e70473, 0x13e84ab1d2313, 0x2c10bedf6953b, 0x639b93f0321c8 },
01404         { 0x508e39111a1c3, 0x290120e912f7a, 0x1cbf464acae43, 0x15373e9576157, 0x0edf493c85b60 },
01405     },
01406     {
01407         { 0x7c4d284764113, 0x7fefebf06acec, 0x39afb7a824100, 0x1b48e47e7fd65, 0x04c00c54d1dfa },
01408         { 0x48158599b5a68, 0x1fd75bc41d5d9, 0x2d9fc1fa95d3c, 0x7da27f20eba11, 0x403b92e3019d4 },
01409         { 0x22f818b465cf8, 0x342901dff09b8, 0x31f595dc683cd, 0x37a57745fd682, 0x355bb12ab2617 },
01410     },
01411     {
01412         { 0x1dac75a8c7318, 0x3b679d5423460, 0x6b8fcb7b6400e, 0x6c73783be5f9d, 0x7518eaf8e052a },
01413         { 0x664cc7493bbf4, 0x33d94761874e3, 0x0179e1796f613, 0x1890535e2867d, 0x0f9b8132182ec },
01414         { 0x059c41b7f6c32, 0x79e8706531491, 0x6c747643cb582, 0x2e20c0ad494e4, 0x47c3871bbb175 },
01415     },
01416     {
01417         { 0x65d50c85066b0, 0x6167453361f7c, 0x06ba3818bb312, 0x6aff29baa7522, 0x08fea02ce8d48 },
01418         { 0x4539771ec4f48, 0x7b9318badca28, 0x70f19afe016c5, 0x4ee7bb1608d23, 0x00b89b8576469 },
01419         { 0x5dd7668deead0, 0x4096d0ba47049, 0x6275997219114, 0x29bda8a67e6ae, 0x473829a74f75d },
01420     },
01421     {
01422         { 0x1533aad3902c9, 0x1dde06b11e47b, 0x784bed1930b77, 0x1c80a92b9c867, 0x6c668b4d44e4d },
01423         { 0x2da754679c418, 0x3164c31be105a, 0x11fac2b98ef5f, 0x35a1aaf779256, 0x2078684c4833c },
01424         { 0x0cf217a78820c, 0x65024e7d2e769, 0x23bb5efdda82a, 0x19fd4b632d3c6, 0x7411a6054f8a4 },
01425     },
01426     {
01427         { 0x2e53d18b175b4, 0x33e7254204af3, 0x3bcd7d5a1c4c5, 0x4c7c22af65d0f, 0x1ec9a872458c3 },
01428         { 0x59d32b99dc86d, 0x6ac075e22a9ac, 0x30b9220113371, 0x27fd9a638966e, 0x7c136574fb813 },
01429         { 0x6a4d400a2509b, 0x041791056971c, 0x655d5866e075c, 0x2302bf3e64df8, 0x3add88a5c7cd6 },
01430     },
01431     {
01432         { 0x298d459393046, 0x30bfecb3d90b8, 0x3d9b8ea3df8d6, 0x3900e96511579, 0x61ba1131a406a },
01433         { 0x15770b635dcf2, 0x59ecd83f79571, 0x2db461c0b7fbd, 0x73a42a981345f, 0x249929fccc879 },
01434         { 0x0a0f116959029, 0x5974fd7b1347a, 0x1e0cc1c08edad, 0x673bdf8ad1f13, 0x5620310cbbd8e },
01435     },
01436     {
01437         { 0x6b5f477e285d6, 0x4ed91ec326cc8, 0x6d6537503a3fd, 0x626d3763988d5, 0x7ec846f3658ce },
01438         { 0x193434934d643, 0x0d4a2445eaa51, 0x7d0708ae76fe0, 0x39847b6c3c7e1, 0x37676a2a4d9d9 },
01439         { 0x68f3f1da22ec7, 0x6ed8039a2736b, 0x2627ee04c3c75, 0x6ea90a647e7d1, 0x6daaf723399b9 },
01440     },
01441 },
01442 {
01443     {
01444         { 0x304bfacad8ea2, 0x502917d108b07, 0x043176ca6dd0f, 0x5d5158f2c1d84, 0x2b5449e58eb3b },
01445         { 0x27562eb3dbe47, 0x291d7b4170be7, 0x5d1ca67dfa8e1, 0x2a88061f298a2, 0x1304e9e71627d },
01446         { 0x014d26adc9cfe, 0x7f1691ba16f13, 0x5e71828f06eac, 0x349ed07f0fffc, 0x4468de2d7c2dd },
01447     },
01448     {
01449         { 0x2d8c6f86307ce, 0x6286ba1850973, 0x5e9dcb08444d4, 0x1a96a543362b2, 0x5da6427e63247 },
01450         { 0x3355e9419469e, 0x1847bb8ea8a37, 0x1fe6588cf9b71, 0x6b1c9d2db6b22, 0x6cce7c6ffb44b },
01451         { 0x4c688deac22ca, 0x6f775c3ff0352, 0x565603ee419bb, 0x6544456c61c46, 0x58f29abfe79f2 },
01452     },
01453     {
01454         { 0x264bf710ecdf6, 0x708c58527896b, 0x42ceae6c53394, 0x4381b21e82b6a, 0x6af93724185b4 },
01455         { 0x6cfab8de73e68, 0x3e6efced4bd21, 0x0056609500dbe, 0x71b7824ad85df, 0x577629c4a7f41 },
01456         { 0x0024509c6a888, 0x2696ab12e6644, 0x0cca27f4b80d8, 0x0c7c1f11b119e, 0x701f25bb0caec },
01457     },
01458     {
01459         { 0x0f6d97cbec113, 0x4ce97fb7c93a3, 0x139835a11281b, 0x728907ada9156, 0x720a5bc050955 },
01460         { 0x0b0f8e4616ced, 0x1d3c4b50fb875, 0x2f29673dc0198, 0x5f4b0f1830ffa, 0x2e0c92bfbdc40 },
01461         { 0x709439b805a35, 0x6ec48557f8187, 0x08a4d1ba13a2c, 0x076348a0bf9ae, 0x0e9b9cbb144ef },
01462     },
01463     {
01464         { 0x69bd55db1beee, 0x6e14e47f731bd, 0x1a35e47270eac, 0x66f225478df8e, 0x366d44191cfd3 },
01465         { 0x2d48ffb5720ad, 0x57b7f21a1df77, 0x5550effba0645, 0x5ec6a4098a931, 0x221104eb3f337 },
01466         { 0x41743f2bc8c14, 0x796b0ad8773c7, 0x29fee5cbb689b, 0x122665c178734, 0x4167a4e6bc593 },
01467     },
01468     {
01469         { 0x62665f8ce8fee, 0x29d101ac59857, 0x4d93bbba59ffc, 0x17b7897373f17, 0x34b33370cb7ed },
01470         { 0x39d2876f62700, 0x001cecd1d6c87, 0x7f01a11747675, 0x2350da5a18190, 0x7938bb7e22552 },
01471         { 0x591ee8681d6cc, 0x39db0b4ea79b8, 0x202220f380842, 0x2f276ba42e0ac, 0x1176fc6e2dfe6 },
01472     },
01473     {
01474         { 0x0e28949770eb8, 0x5559e88147b72, 0x35e1e6e63ef30, 0x35b109aa7ff6f, 0x1f6a3e54f2690 },
01475         { 0x76cd05b9c619b, 0x69654b0901695, 0x7a53710b77f27, 0x79a1ea7d28175, 0x08fc3a4c677d5 },
01476         { 0x4c199d30734ea, 0x6c622cb9acc14, 0x5660a55030216, 0x068f1199f11fb, 0x4f2fad0116b90 },
01477     },
01478     {
01479         { 0x4d91db73bb638, 0x55f82538112c5, 0x6d85a279815de, 0x740b7b0cd9cf9, 0x3451995f2944e },
01480         { 0x6b24194ae4e54, 0x2230afded8897, 0x23412617d5071, 0x3d5d30f35969b, 0x445484a4972ef },
01481         { 0x2fcd09fea7d7c, 0x296126b9ed22a, 0x4a171012a05b2, 0x1db92c74d5523, 0x10b89ca604289 },
01482     },
01483 },
01484 {
01485     {
01486         { 0x141be5a45f06e, 0x5adb38becaea7, 0x3fd46db41f2bb, 0x6d488bbb5ce39, 0x17d2d1d9ef0d4 },
01487         { 0x147499718289c, 0x0a48a67e4c7ab, 0x30fbc544bafe3, 0x0c701315fe58a, 0x20b878d577b75 },
01488         { 0x2af18073f3e6a, 0x33aea420d24fe, 0x298008bf4ff94, 0x3539171db961e, 0x72214f63cc65c },
01489     },
01490     {
01491         { 0x5b7b9f43b29c9, 0x149ea31eea3b3, 0x4be7713581609, 0x2d87960395e98, 0x1f24ac855a154 },
01492         { 0x37f405307a693, 0x2e5e66cf2b69c, 0x5d84266ae9c53, 0x5e4eb7de853b9, 0x5fdf48c58171c },
01493         { 0x608328e9505aa, 0x22182841dc49a, 0x3ec96891d2307, 0x2f363fff22e03, 0x00ba739e2ae39 },
01494     },
01495     {
01496         { 0x426f5ea88bb26, 0x33092e77f75c8, 0x1a53940d819e7, 0x1132e4f818613, 0x72297de7d518d },
01497         { 0x698de5c8790d6, 0x268b8545beb25, 0x6d2648b96fedf, 0x47988ad1db07c, 0x03283a3e67ad7 },
01498         { 0x41dc7be0cb939, 0x1b16c66100904, 0x0a24c20cbc66d, 0x4a2e9efe48681, 0x05e1296846271 },
01499     },
01500     {
01501         { 0x7bbc8242c4550, 0x59a06103b35b7, 0x7237e4af32033, 0x726421ab3537a, 0x78cf25d38258c },
01502         { 0x2eeb32d9c495a, 0x79e25772f9750, 0x6d747833bbf23, 0x6cdd816d5d749, 0x39c00c9c13698 },
01503         { 0x66b8e31489d68, 0x573857e10e2b5, 0x13be816aa1472, 0x41964d3ad4bf8, 0x006b52076b3ff },
01504     },
01505     {
01506         { 0x37e16b9ce082d, 0x1882f57853eb9, 0x7d29eacd01fc5, 0x2e76a59b5e715, 0x7de2e9561a9f7 },
01507         { 0x0cfe19d95781c, 0x312cc621c453c, 0x145ace6da077c, 0x0912bef9ce9b8, 0x4d57e3443bc76 },
01508         { 0x0d4f4b6a55ecb, 0x7ebb0bb733bce, 0x7ba6a05200549, 0x4f6ede4e22069, 0x6b2a90af1a602 },
01509     },
01510     {
01511         { 0x3f3245bb2d80a, 0x0e5f720f36efd, 0x3b9cccf60c06d, 0x084e323f37926, 0x465812c8276c2 },
01512         { 0x3f4fc9ae61e97, 0x3bc07ebfa2d24, 0x3b744b55cd4a0, 0x72553b25721f3, 0x5fd8f4e9d12d3 },
01513         { 0x3beb22a1062d9, 0x6a7063b82c9a8, 0x0a5a35dc197ed, 0x3c80c06a53def, 0x05b32c2b1cb16 },
01514     },
01515     {
01516         { 0x4a42c7ad58195, 0x5c8667e799eff, 0x02e5e74c850a1, 0x3f0db614e869a, 0x31771a4856730 },
01517         { 0x05eccd24da8fd, 0x580bbfdf07918, 0x7e73586873c6a, 0x74ceddf77f93e, 0x3b5556a37b471 },
01518         { 0x0c524e14dd482, 0x283457496c656, 0x0ad6bcfb6cd45, 0x375d1e8b02414, 0x4fc079d27a733 },
01519     },
01520     {
01521         { 0x48b440c86c50d, 0x139929cca3b86, 0x0f8f2e44cdf2f, 0x68432117ba6b2, 0x241170c2bae3c },
01522         { 0x138b089bf2f7f, 0x4a05bfd34ea39, 0x203914c925ef5, 0x7497fffe04e3c, 0x124567cecaf98 },
01523         { 0x1ab860ac473b4, 0x5c0227c86a7ff, 0x71b12bfc24477, 0x006a573a83075, 0x3f8612966c870 },
01524     },
01525 },
01526 {
01527     {
01528         { 0x0fcfa36048d13, 0x66e7133bbb383, 0x64b42a8a45676, 0x4ea6e4f9a85cf, 0x26f57eee878a1 },
01529         { 0x20cc9782a0dde, 0x65d4e3070aab3, 0x7bc8e31547736, 0x09ebfb1432d98, 0x504aa77679736 },
01530         { 0x32cd55687efb1, 0x4448f5e2f6195, 0x568919d460345, 0x034c2e0ad1a27, 0x4041943d9dba3 },
01531     },
01532     {
01533         { 0x17743a26caadd, 0x48c9156f9c964, 0x7ef278d1e9ad0, 0x00ce58ea7bd01, 0x12d931429800d },
01534         { 0x0eeba43ebcc96, 0x384dd5395f878, 0x1df331a35d272, 0x207ecfd4af70e, 0x1420a1d976843 },
01535         { 0x67799d337594f, 0x01647548f6018, 0x57fce5578f145, 0x009220c142a71, 0x1b4f92314359a },
01536     },
01537     {
01538         { 0x73030a49866b1, 0x2442be90b2679, 0x77bd3d8947dcf, 0x1fb55c1552028, 0x5ff191d56f9a2 },
01539         { 0x4109d89150951, 0x225bd2d2d47cb, 0x57cc080e73bea, 0x6d71075721fcb, 0x239b572a7f132 },
01540         { 0x6d433ac2d9068, 0x72bf930a47033, 0x64facf4a20ead, 0x365f7a2b9402a, 0x020c526a758f3 },
01541     },
01542     {
01543         { 0x1ef59f042cc89, 0x3b1c24976dd26, 0x31d665cb16272, 0x28656e470c557, 0x452cfe0a5602c },
01544         { 0x034f89ed8dbbc, 0x73b8f948d8ef3, 0x786c1d323caab, 0x43bd4a9266e51, 0x02aacc4615313 },
01545         { 0x0f7a0647877df, 0x4e1cc0f93f0d4, 0x7ec4726ef1190, 0x3bdd58bf512f8, 0x4cfb7d7b304b8 },
01546     },
01547     {
01548         { 0x699c29789ef12, 0x63beae321bc50, 0x325c340adbb35, 0x562e1a1e42bf6, 0x5b1d4cbc434d3 },
01549         { 0x43d6cb89b75fe, 0x3338d5b900e56, 0x38d327d531a53, 0x1b25c61d51b9f, 0x14b4622b39075 },
01550         { 0x32615cc0a9f26, 0x57711b99cb6df, 0x5a69c14e93c38, 0x6e88980a4c599, 0x2f98f71258592 },
01551     },
01552     {
01553         { 0x2ae444f54a701, 0x615397afbc5c2, 0x60d7783f3f8fb, 0x2aa675fc486ba, 0x1d8062e9e7614 },
01554         { 0x4a74cb50f9e56, 0x531d1c2640192, 0x0c03d9d6c7fd2, 0x57ccd156610c1, 0x3a6ae249d806a },
01555         { 0x2da85a9907c5a, 0x6b23721ec4caf, 0x4d2d3a4683aa2, 0x7f9c6870efdef, 0x298b8ce8aef25 },
01556     },
01557     {
01558         { 0x272ea0a2165de, 0x68179ef3ed06f, 0x4e2b9c0feac1e, 0x3ee290b1b63bb, 0x6ba6271803a7d },
01559         { 0x27953eff70cb2, 0x54f22ae0ec552, 0x29f3da92e2724, 0x242ca0c22bd18, 0x34b8a8404d5ce },
01560         { 0x6ecb583693335, 0x3ec76bfdfb84d, 0x2c895cf56a04f, 0x6355149d54d52, 0x71d62bdd465e1 },
01561     },
01562     {
01563         { 0x5b5dab1f75ef5, 0x1e2d60cbeb9a5, 0x527c2175dfe57, 0x59e8a2b8ff51f, 0x1c333621262b2 },
01564         { 0x3cc28d378df80, 0x72141f4968ca6, 0x407696bdb6d0d, 0x5d271b22ffcfb, 0x74d5f317f3172 },
01565         { 0x7e55467d9ca81, 0x6a5653186f50d, 0x6b188ece62df1, 0x4c66d36844971, 0x4aebcc4547e9d },
01566     },
01567 },
01568 {
01569     {
01570         { 0x08d9e7354b610, 0x26b750b6dc168, 0x162881e01acc9, 0x7966df31d01a5, 0x173bd9ddc9a1d },
01571         { 0x0071b276d01c9, 0x0b0d8918e025e, 0x75beea79ee2eb, 0x3c92984094db8, 0x5d88fbf95a3db },
01572         { 0x00f1efe5872df, 0x5da872318256a, 0x59ceb81635960, 0x18cf37693c764, 0x06e1cd13b19ea },
01573     },
01574     {
01575         { 0x3af629e5b0353, 0x204f1a088e8e5, 0x10efc9ceea82e, 0x589863c2fa34b, 0x7f3a6a1a8d837 },
01576         { 0x0ad516f166f23, 0x263f56d57c81a, 0x13422384638ca, 0x1331ff1af0a50, 0x3080603526e16 },
01577         { 0x644395d3d800b, 0x2b9203dbedefc, 0x4b18ce656a355, 0x03f3466bc182c, 0x30d0fded2e513 },
01578     },
01579     {
01580         { 0x4971e68b84750, 0x52ccc9779f396, 0x3e904ae8255c8, 0x4ecae46f39339, 0x4615084351c58 },
01581         { 0x14d1af21233b3, 0x1de1989b39c0b, 0x52669dc6f6f9e, 0x43434b28c3fc7, 0x0a9214202c099 },
01582         { 0x019c0aeb9a02e, 0x1a2c06995d792, 0x664cbb1571c44, 0x6ff0736fa80b2, 0x3bca0d2895ca5 },
01583     },
01584     {
01585         { 0x08eb69ecc01bf, 0x5b4c8912df38d, 0x5ea7f8bc2f20e, 0x120e516caafaf, 0x4ea8b4038df28 },
01586         { 0x031bc3c5d62a4, 0x7d9fe0f4c081e, 0x43ed51467f22c, 0x1e6cc0c1ed109, 0x5631deddae8f1 },
01587         { 0x5460af1cad202, 0x0b4919dd0655d, 0x7c4697d18c14c, 0x231c890bba2a4, 0x24ce0930542ca },
01588     },
01589     {
01590         { 0x7a155fdf30b85, 0x1c6c6e5d487f9, 0x24be1134bdc5a, 0x1405970326f32, 0x549928a7324f4 },
01591         { 0x090f5fd06c106, 0x6abb1021e43fd, 0x232bcfad711a0, 0x3a5c13c047f37, 0x41d4e3c28a06d },
01592         { 0x632a763ee1a2e, 0x6fa4bffbd5e4d, 0x5fd35a6ba4792, 0x7b55e1de99de8, 0x491b66dec0dcf },
01593     },
01594     {
01595         { 0x04a8ed0da64a1, 0x5ecfc45096ebe, 0x5edee93b488b2, 0x5b3c11a51bc8f, 0x4cf6b8b0b7018 },
01596         { 0x5b13dc7ea32a7, 0x18fc2db73131e, 0x7e3651f8f57e3, 0x25656055fa965, 0x08f338d0c85ee },
01597         { 0x3a821991a73bd, 0x03be6418f5870, 0x1ddc18eac9ef0, 0x54ce09e998dc2, 0x530d4a82eb078 },
01598     },
01599     {
01600         { 0x173456c9abf9e, 0x7892015100dad, 0x33ee14095fecb, 0x6ad95d67a0964, 0x0db3e7e00cbfb },
01601         { 0x43630e1f94825, 0x4d1956a6b4009, 0x213fe2df8b5e0, 0x05ce3a41191e6, 0x65ea753f10177 },
01602         { 0x6fc3ee2096363, 0x7ec36b96d67ac, 0x510ec6a0758b1, 0x0ed87df022109, 0x02a4ec1921e1a },
01603     },
01604     {
01605         { 0x06162f1cf795f, 0x324ddcafe5eb9, 0x018d5e0463218, 0x7e78b9092428e, 0x36d12b5dec067 },
01606         { 0x6259a3b24b8a2, 0x188b5f4170b9c, 0x681c0dee15deb, 0x4dfe665f37445, 0x3d143c5112780 },
01607         { 0x5279179154557, 0x39f8f0741424d, 0x45e6eb357923d, 0x42c9b5edb746f, 0x2ef517885ba82 },
01608     },
01609 },
01610 {
01611     {
01612         { 0x6bffb305b2f51, 0x5b112b2d712dd, 0x35774974fe4e2, 0x04af87a96e3a3, 0x57968290bb3a0 },
01613         { 0x7974e8c58aedc, 0x7757e083488c6, 0x601c62ae7bc8b, 0x45370c2ecab74, 0x2f1b78fab143a },
01614         { 0x2b8430a20e101, 0x1a49e1d88fee3, 0x38bbb47ce4d96, 0x1f0e7ba84d437, 0x7dc43e35dc2aa },
01615     },
01616     {
01617         { 0x02a5c273e9718, 0x32bc9dfb28b4f, 0x48df4f8d5db1a, 0x54c87976c028f, 0x044fb81d82d50 },
01618         { 0x66665887dd9c3, 0x629760a6ab0b2, 0x481e6c7243e6c, 0x097e37046fc77, 0x7ef72016758cc },
01619         { 0x718c5a907e3d9, 0x3b9c98c6b383b, 0x006ed255eccdc, 0x6976538229a59, 0x7f79823f9c30d },
01620     },
01621     {
01622         { 0x41ff068f587ba, 0x1c00a191bcd53, 0x7b56f9c209e25, 0x3781e5fccaabe, 0x64a9b0431c06d },
01623         { 0x4d239a3b513e8, 0x29723f51b1066, 0x642f4cf04d9c3, 0x4da095aa09b7a, 0x0a4e0373d784d },
01624         { 0x3d6a15b7d2919, 0x41aa75046a5d6, 0x691751ec2d3da, 0x23638ab6721c4, 0x071a7d0ace183 },
01625     },
01626     {
01627         { 0x4355220e14431, 0x0e1362a283981, 0x2757cd8359654, 0x2e9cd7ab10d90, 0x7c69bcf761775 },
01628         { 0x72daac887ba0b, 0x0b7f4ac5dda60, 0x3bdda2c0498a4, 0x74e67aa180160, 0x2c3bcc7146ea7 },
01629         { 0x0d7eb04e8295f, 0x4a5ea1e6fa0fe, 0x45e635c436c60, 0x28ef4a8d4d18b, 0x6f5a9a7322aca },
01630     },
01631     {
01632         { 0x1d4eba3d944be, 0x0100f15f3dce5, 0x61a700e367825, 0x5922292ab3d23, 0x02ab9680ee8d3 },
01633         { 0x1000c2f41c6c5, 0x0219fdf737174, 0x314727f127de7, 0x7e5277d23b81e, 0x494e21a2e147a },
01634         { 0x48a85dde50d9a, 0x1c1f734493df4, 0x47bdb64866889, 0x59a7d048f8eec, 0x6b5d76cbea46b },
01635     },
01636     {
01637         { 0x141171e782522, 0x6806d26da7c1f, 0x3f31d1bc79ab9, 0x09f20459f5168, 0x16fb869c03dd3 },
01638         { 0x7556cec0cd994, 0x5eb9a03b7510a, 0x50ad1dd91cb71, 0x1aa5780b48a47, 0x0ae333f685277 },
01639         { 0x6199733b60962, 0x69b157c266511, 0x64740f893f1ca, 0x03aa408fbf684, 0x3f81e38b8f70d },
01640     },
01641     {
01642         { 0x37f355f17c824, 0x07ae85334815b, 0x7e3abddd2e48f, 0x61eeabe1f45e5, 0x0ad3e2d34cded },
01643         { 0x10fcc7ed9affe, 0x4248cb0e96ff2, 0x4311c115172e2, 0x4c9d41cbf6925, 0x50510fc104f50 },
01644         { 0x40fc5336e249d, 0x3386639fb2de1, 0x7bbf871d17b78, 0x75f796b7e8004, 0x127c158bf0fa1 },
01645     },
01646     {
01647         { 0x28fc4ae51b974, 0x26e89bfd2dbd4, 0x4e122a07665cf, 0x7cab1203405c3, 0x4ed82479d167d },
01648         { 0x17c422e9879a2, 0x28a5946c8fec3, 0x53ab32e912b77, 0x7b44da09fe0a5, 0x354ef87d07ef4 },
01649         { 0x3b52260c5d975, 0x79d6836171fdc, 0x7d994f140d4bb, 0x1b6c404561854, 0x302d92d205392 },
01650     },
01651 },
01652 {
01653     {
01654         { 0x46fb6e4e0f177, 0x53497ad5265b7, 0x1ebdba01386fc, 0x0302f0cb36a3c, 0x0edc5f5eb426d },
01655         { 0x3c1a2bca4283d, 0x23430c7bb2f02, 0x1a3ea1bb58bc2, 0x7265763de5c61, 0x10e5d3b76f1ca },
01656         { 0x3bfd653da8e67, 0x584953ec82a8a, 0x55e288fa7707b, 0x5395fc3931d81, 0x45b46c51361cb },
01657     },
01658     {
01659         { 0x54ddd8a7fe3e4, 0x2cecc41c619d3, 0x43a6562ac4d91, 0x4efa5aca7bdd9, 0x5c1c0aef32122 },
01660         { 0x02abf314f7fa1, 0x391d19e8a1528, 0x6a2fa13895fc7, 0x09d8eddeaa591, 0x2177bfa36dcb7 },
01661         { 0x01bbcfa79db8f, 0x3d84beb3666e1, 0x20c921d812204, 0x2dd843d3b32ce, 0x4ae619387d8ab },
01662     },
01663     {
01664         { 0x17e44985bfb83, 0x54e32c626cc22, 0x096412ff38118, 0x6b241d61a246a, 0x75685abe5ba43 },
01665         { 0x3f6aa5344a32e, 0x69683680f11bb, 0x04c3581f623aa, 0x701af5875cba5, 0x1a00d91b17bf3 },
01666         { 0x60933eb61f2b2, 0x5193fe92a4dd2, 0x3d995a550f43e, 0x3556fb93a883d, 0x135529b623b0e },
01667     },
01668     {
01669         { 0x716bce22e83fe, 0x33d0130b83eb8, 0x0952abad0afac, 0x309f64ed31b8a, 0x5972ea051590a },
01670         { 0x0dbd7add1d518, 0x119f823e2231e, 0x451d66e5e7de2, 0x500c39970f838, 0x79b5b81a65ca3 },
01671         { 0x4ac20dc8f7811, 0x29589a9f501fa, 0x4d810d26a6b4a, 0x5ede00d96b259, 0x4f7e9c95905f3 },
01672     },
01673     {
01674         { 0x0443d355299fe, 0x39b7d7d5aee39, 0x692519a2f34ec, 0x6e4404924cf78, 0x1942eec4a144a },
01675         { 0x74bbc5781302e, 0x73135bb81ec4c, 0x7ef671b61483c, 0x7264614ccd729, 0x31993ad92e638 },
01676         { 0x45319ae234992, 0x2219d47d24fb5, 0x4f04488b06cf6, 0x53aaa9e724a12, 0x2a0a65314ef9c },
01677     },
01678     {
01679         { 0x61acd3c1c793a, 0x58b46b78779e6, 0x3369aacbe7af2, 0x509b0743074d4, 0x055dc39b6dea1 },
01680         { 0x7937ff7f927c2, 0x0c2fa14c6a5b6, 0x556bddb6dd07c, 0x6f6acc179d108, 0x4cf6e218647c2 },
01681         { 0x1227cc28d5bb6, 0x78ee9bff57623, 0x28cb2241f893a, 0x25b541e3c6772, 0x121a307710aa2 },
01682     },
01683     {
01684         { 0x1713ec77483c9, 0x6f70572d5facb, 0x25ef34e22ff81, 0x54d944f141188, 0x527bb94a6ced3 },
01685         { 0x35d5e9f034a97, 0x126069785bc9b, 0x5474ec7854ff0, 0x296a302a348ca, 0x333fc76c7a40e },
01686         { 0x5992a995b482e, 0x78dc707002ac7, 0x5936394d01741, 0x4fba4281aef17, 0x6b89069b20a7a },
01687     },
01688     {
01689         { 0x2fa8cb5c7db77, 0x718e6982aa810, 0x39e95f81a1a1b, 0x5e794f3646cfb, 0x0473d308a7639 },
01690         { 0x2a0416270220d, 0x75f248b69d025, 0x1cbbc16656a27, 0x5b9ffd6e26728, 0x23bc2103aa73e },
01691         { 0x6792603589e05, 0x248db9892595d, 0x006a53cad2d08, 0x20d0150f7ba73, 0x102f73bfde043 },
01692     },
01693 },
01694 {
01695     {
01696         { 0x4dae0b5511c9a, 0x5257fffe0d456, 0x54108d1eb2180, 0x096cc0f9baefa, 0x3f6bd725da4ea },
01697         { 0x0b9ab7f5745c6, 0x5caf0f8d21d63, 0x7debea408ea2b, 0x09edb93896d16, 0x36597d25ea5c0 },
01698         { 0x58d7b106058ac, 0x3cdf8d20bee69, 0x00a4cb765015e, 0x36832337c7cc9, 0x7b7ecc19da60d },
01699     },
01700     {
01701         { 0x64a51a77cfa9b, 0x29cf470ca0db5, 0x4b60b6e0898d9, 0x55d04ddffe6c7, 0x03bedc661bf5c },
01702         { 0x2373c695c690d, 0x4c0c8520dcf18, 0x384af4b7494b9, 0x4ab4a8ea22225, 0x4235ad7601743 },
01703         { 0x0cb0d078975f5, 0x292313e530c4b, 0x38dbb9124a509, 0x350d0655a11f1, 0x0e7ce2b0cdf06 },
01704     },
01705     {
01706         { 0x6fedfd94b70f9, 0x2383f9745bfd4, 0x4beae27c4c301, 0x75aa4416a3f3f, 0x615256138aece },
01707         { 0x4643ac48c85a3, 0x6878c2735b892, 0x3a53523f4d877, 0x3a504ed8bee9d, 0x666e0a5d8fb46 },
01708         { 0x3f64e4870cb0d, 0x61548b16d6557, 0x7a261773596f3, 0x7724d5f275d3a, 0x7f0bc810d514d },
01709     },
01710     {
01711         { 0x49dad737213a0, 0x745dee5d31075, 0x7b1a55e7fdbe2, 0x5ba988f176ea1, 0x1d3a907ddec5a },
01712         { 0x06ba426f4136f, 0x3cafc0606b720, 0x518f0a2359cda, 0x5fae5e46feca7, 0x0d1f8dbcf8eed },
01713         { 0x693313ed081dc, 0x5b0a366901742, 0x40c872ca4ca7e, 0x6f18094009e01, 0x00011b44a31bf },
01714     },
01715     {
01716         { 0x61f696a0aa75c, 0x38b0a57ad42ca, 0x1e59ab706fdc9, 0x01308d46ebfcd, 0x63d988a2d2851 },
01717         { 0x7a06c3fc66c0c, 0x1c9bac1ba47fb, 0x23935c575038e, 0x3f0bd71c59c13, 0x3ac48d916e835 },
01718         { 0x20753afbd232e, 0x71fbb1ed06002, 0x39cae47a4af3a, 0x0337c0b34d9c2, 0x33fad52b2368a },
01719     },
01720     {
01721         { 0x4c8d0c422cfe8, 0x760b4275971a5, 0x3da95bc1cad3d, 0x0f151ff5b7376, 0x3cc355ccb90a7 },
01722         { 0x649c6c5e41e16, 0x60667eee6aa80, 0x4179d182be190, 0x653d9567e6979, 0x16c0f429a256d },
01723         { 0x69443903e9131, 0x16f4ac6f9dd36, 0x2ea4912e29253, 0x2b4643e68d25d, 0x631eaf426bae7 },
01724     },
01725     {
01726         { 0x175b9a3700de8, 0x77c5f00aa48fb, 0x3917785ca0317, 0x05aa9b2c79399, 0x431f2c7f665f8 },
01727         { 0x10410da66fe9f, 0x24d82dcb4d67d, 0x3e6fe0e17752d, 0x4dade1ecbb08f, 0x5599648b1ea91 },
01728         { 0x26344858f7b19, 0x5f43d4a295ac0, 0x242a75c52acd4, 0x5934480220d10, 0x7b04715f91253 },
01729     },
01730     {
01731         { 0x6c280c4e6bac6, 0x3ada3b361766e, 0x42fe5125c3b4f, 0x111d84d4aac22, 0x48d0acfa57cde },
01732         { 0x5bd28acf6ae43, 0x16fab8f56907d, 0x7acb11218d5f2, 0x41fe02023b4db, 0x59b37bf5c2f65 },
01733         { 0x726e47dabe671, 0x2ec45e746f6c1, 0x6580e53c74686, 0x5eda104673f74, 0x16234191336d3 },
01734     },
01735 },
01736 {
01737     {
01738         { 0x19cd61ff38640, 0x060c6c4b41ba9, 0x75cf70ca7366f, 0x118a8f16c011e, 0x4a25707a203b9 },
01739         { 0x499def6267ff6, 0x76e858108773c, 0x693cac5ddcb29, 0x00311d00a9ff4, 0x2cdfdfecd5d05 },
01740         { 0x7668a53f6ed6a, 0x303ba2e142556, 0x3880584c10909, 0x4fe20000a261d, 0x5721896d248e4 },
01741     },
01742     {
01743         { 0x55091a1d0da4e, 0x4f6bfc7c1050b, 0x64e4ecd2ea9be, 0x07eb1f28bbe70, 0x03c935afc4b03 },
01744         { 0x65517fd181bae, 0x3e5772c76816d, 0x019189640898a, 0x1ed2a84de7499, 0x578edd74f63c1 },
01745         { 0x276c6492b0c3d, 0x09bfc40bf932e, 0x588e8f11f330b, 0x3d16e694dc26e, 0x3ec2ab590288c },
01746     },
01747     {
01748         { 0x13a09ae32d1cb, 0x3e81eb85ab4e4, 0x07aaca43cae1f, 0x62f05d7526374, 0x0e1bf66c6adba },
01749         { 0x0d27be4d87bb9, 0x56c27235db434, 0x72e6e0ea62d37, 0x5674cd06ee839, 0x2dd5c25a200fc },
01750         { 0x3d5e9792c887e, 0x319724dabbc55, 0x2b97c78680800, 0x7afdfdd34e6dd, 0x730548b35ae88 },
01751     },
01752     {
01753         { 0x3094ba1d6e334, 0x6e126a7e3300b, 0x089c0aefcfbc5, 0x2eea11f836583, 0x585a2277d8784 },
01754         { 0x551a3cba8b8ee, 0x3b6422be2d886, 0x630e1419689bc, 0x4653b07a7a955, 0x3043443b411db },
01755         { 0x25f8233d48962, 0x6bd8f04aff431, 0x4f907fd9a6312, 0x40fd3c737d29b, 0x7656278950ef9 },
01756     },
01757     {
01758         { 0x073a3ea86cf9d, 0x6e0e2abfb9c2e, 0x60e2a38ea33ee, 0x30b2429f3fe18, 0x28bbf484b613f },
01759         { 0x3cf59d51fc8c0, 0x7a0a0d6de4718, 0x55c3a3e6fb74b, 0x353135f884fd5, 0x3f4160a8c1b84 },
01760         { 0x12f5c6f136c7c, 0x0fedba237de4c, 0x779bccebfab44, 0x3aea93f4d6909, 0x1e79cb358188f },
01761     },
01762     {
01763         { 0x153d8f5e08181, 0x08533bbdb2efd, 0x1149796129431, 0x17a6e36168643, 0x478ab52d39d1f },
01764         { 0x436c3eef7e3f1, 0x7ffd3c21f0026, 0x3e77bf20a2da9, 0x418bffc8472de, 0x65d7951b3a3b3 },
01765         { 0x6a4d39252d159, 0x790e35900ecd4, 0x30725bf977786, 0x10a5c1635a053, 0x16d87a411a212 },
01766     },
01767     {
01768         { 0x4d5e2d54e0583, 0x2e5d7b33f5f74, 0x3a5de3f887ebf, 0x6ef24bd6139b7, 0x1f990b577a5a6 },
01769         { 0x57e5a42066215, 0x1a18b44983677, 0x3e652de1e6f8f, 0x6532be02ed8eb, 0x28f87c8165f38 },
01770         { 0x44ead1be8f7d6, 0x5759d4f31f466, 0x0378149f47943, 0x69f3be32b4f29, 0x45882fe1534d6 },
01771     },
01772     {
01773         { 0x49929943c6fe4, 0x4347072545b15, 0x3226bced7e7c5, 0x03a134ced89df, 0x7dcf843ce405f },
01774         { 0x1345d757983d6, 0x222f54234cccd, 0x1784a3d8adbb4, 0x36ebeee8c2bcc, 0x688fe5b8f626f },
01775         { 0x0d6484a4732c0, 0x7b94ac6532d92, 0x5771b8754850f, 0x48dd9df1461c8, 0x6739687e73271 },
01776     },
01777 },
01778 {
01779     {
01780         { 0x5cc9dc80c1ac0, 0x683671486d4cd, 0x76f5f1a5e8173, 0x6d5d3f5f9df4a, 0x7da0b8f68d7e7 },
01781         { 0x02014385675a6, 0x6155fb53d1def, 0x37ea32e89927c, 0x059a668f5a82e, 0x46115aba1d4dc },
01782         { 0x71953c3b5da76, 0x6642233d37a81, 0x2c9658076b1bd, 0x5a581e63010ff, 0x5a5f887e83674 },
01783     },
01784     {
01785         { 0x628d3a0a643b9, 0x01cd8640c93d2, 0x0b7b0cad70f2c, 0x3864da98144be, 0x43e37ae2d5d1c },
01786         { 0x301cf70a13d11, 0x2a6a1ba1891ec, 0x2f291fb3f3ae0, 0x21a7b814bea52, 0x3669b656e44d1 },
01787         { 0x63f06eda6e133, 0x233342758070f, 0x098e0459cc075, 0x4df5ead6c7c1b, 0x6a21e6cd4fd5e },
01788     },
01789     {
01790         { 0x129126699b2e3, 0x0ee11a2603de8, 0x60ac2f5c74c21, 0x59b192a196808, 0x45371b07001e8 },
01791         { 0x6170a3046e65f, 0x5401a46a49e38, 0x20add5561c4a8, 0x7abb4edde9e46, 0x586bf9f1a195f },
01792         { 0x3088d5ef8790b, 0x38c2126fcb4db, 0x685bae149e3c3, 0x0bcd601a4e930, 0x0eafb03790e52 },
01793     },
01794     {
01795         { 0x0805e0f75ae1d, 0x464cc59860a28, 0x248e5b7b00bef, 0x5d99675ef8f75, 0x44ae3344c5435 },
01796         { 0x555c13748042f, 0x4d041754232c0, 0x521b430866907, 0x3308e40fb9c39, 0x309acc675a02c },
01797         { 0x289b9bba543ee, 0x3ab592e28539e, 0x64d82abcdd83a, 0x3c78ec172e327, 0x62d5221b7f946 },
01798     },
01799     {
01800         { 0x5d4263af77a3c, 0x23fdd2289aeb0, 0x7dc64f77eb9ec, 0x01bd28338402c, 0x14f29a5383922 },
01801         { 0x4299c18d0936d, 0x5914183418a49, 0x52a18c721aed5, 0x2b151ba82976d, 0x5c0efde4bc754 },
01802         { 0x17edc25b2d7f5, 0x37336a6081bee, 0x7b5318887e5c3, 0x49f6d491a5be1, 0x5e72365c7bee0 },
01803     },
01804     {
01805         { 0x339062f08b33e, 0x4bbf3e657cfb2, 0x67af7f56e5967, 0x4dbd67f9ed68f, 0x70b20555cb734 },
01806         { 0x3fc074571217f, 0x3a0d29b2b6aeb, 0x06478ccdde59d, 0x55e4d051bddfa, 0x77f1104c47b4e },
01807         { 0x113c555112c4c, 0x7535103f9b7ca, 0x140ed1d9a2108, 0x02522333bc2af, 0x0e34398f4a064 },
01808     },
01809     {
01810         { 0x30b093e4b1928, 0x1ce7e7ec80312, 0x4e575bdf78f84, 0x61f7a190bed39, 0x6f8aded6ca379 },
01811         { 0x522d93ecebde8, 0x024f045e0f6cf, 0x16db63426cfa1, 0x1b93a1fd30fd8, 0x5e5405368a362 },
01812         { 0x0123dfdb7b29a, 0x4344356523c68, 0x79a527921ee5f, 0x74bfccb3e817e, 0x780de72ec8d3d },
01813     },
01814     {
01815         { 0x7eaf300f42772, 0x5455188354ce3, 0x4dcca4a3dcbac, 0x3d314d0bfebcb, 0x1defc6ad32b58 },
01816         { 0x28545089ae7bc, 0x1e38fe9a0c15c, 0x12046e0e2377b, 0x6721c560aa885, 0x0eb28bf671928 },
01817         { 0x3be1aef5195a7, 0x6f22f62bdb5eb, 0x39768b8523049, 0x43394c8fbfdbd, 0x467d201bf8dd2 },
01818     },
01819 },
01820 {
01821     {
01822         { 0x6f4bd567ae7a9, 0x65ac89317b783, 0x07d3b20fd8932, 0x000f208326916, 0x2ef9c5a5ba384 },
01823         { 0x6919a74ef4fad, 0x59ed4611452bf, 0x691ec04ea09ef, 0x3cbcb2700e984, 0x71c43c4f5ba3c },
01824         { 0x56df6fa9e74cd, 0x79c95e4cf56df, 0x7be643bc609e2, 0x149c12ad9e878, 0x5a758ca390c5f },
01825     },
01826     {
01827         { 0x0918b1d61dc94, 0x0d350260cd19c, 0x7a2ab4e37b4d9, 0x21fea735414d7, 0x0a738027f639d },
01828         { 0x72710d9462495, 0x25aafaa007456, 0x2d21f28eaa31b, 0x17671ea005fd0, 0x2dbae244b3eb7 },
01829         { 0x74a2f57ffe1cc, 0x1bc3073087301, 0x7ec57f4019c34, 0x34e082e1fa524, 0x2698ca635126a },
01830     },
01831     {
01832         { 0x5702f5e3dd90e, 0x31c9a4a70c5c7, 0x136a5aa78fc24, 0x1992f3b9f7b01, 0x3c004b0c4afa3 },
01833         { 0x5318832b0ba78, 0x6f24b9ff17cec, 0x0a47f30e060c7, 0x58384540dc8d0, 0x1fb43dcc49cae },
01834         { 0x146ac06f4b82b, 0x4b500d89e7355, 0x3351e1c728a12, 0x10b9f69932fe3, 0x6b43fd01cd1fd },
01835     },
01836     {
01837         { 0x742583e760ef3, 0x73dc1573216b8, 0x4ae48fdd7714a, 0x4f85f8a13e103, 0x73420b2d6ff0d },
01838         { 0x75d4b4697c544, 0x11be1fff7f8f4, 0x119e16857f7e1, 0x38a14345cf5d5, 0x5a68d7105b52f },
01839         { 0x4f6cb9e851e06, 0x278c4471895e5, 0x7efcdce3d64e4, 0x64f6d455c4b4c, 0x3db5632fea34b },
01840     },
01841     {
01842         { 0x190b1829825d5, 0x0e7d3513225c9, 0x1c12be3b7abae, 0x58777781e9ca6, 0x59197ea495df2 },
01843         { 0x6ee2bf75dd9d8, 0x6c72ceb34be8d, 0x679c9cc345ec7, 0x7898df96898a4, 0x04321adf49d75 },
01844         { 0x16019e4e55aae, 0x74fc5f25d209c, 0x4566a939ded0d, 0x66063e716e0b7, 0x45eafdc1f4d70 },
01845     },
01846     {
01847         { 0x64624cfccb1ed, 0x257ab8072b6c1, 0x0120725676f0a, 0x4a018d04e8eee, 0x3f73ceea5d56d },
01848         { 0x401858045d72b, 0x459e5e0ca2d30, 0x488b719308bea, 0x56f4a0d1b32b5, 0x5a5eebc80362d },
01849         { 0x7bfd10a4e8dc6, 0x7c899366736f4, 0x55ebbeaf95c01, 0x46db060903f8a, 0x2605889126621 },
01850     },
01851     {
01852         { 0x18e3cc676e542, 0x26079d995a990, 0x04a7c217908b2, 0x1dc7603e6655a, 0x0dedfa10b2444 },
01853         { 0x704a68360ff04, 0x3cecc3cde8b3e, 0x21cd5470f64ff, 0x6abc18d953989, 0x54ad0c2e4e615 },
01854         { 0x367d5b82b522a, 0x0d3f4b83d7dc7, 0x3067f4cdbc58d, 0x20452da697937, 0x62ecb2baa77a9 },
01855     },
01856     {
01857         { 0x72836afb62874, 0x0af3c2094b240, 0x0c285297f357a, 0x7cc2d5680d6e3, 0x61913d5075663 },
01858         { 0x5795261152b3d, 0x7a1dbbafa3cbd, 0x5ad31c52588d5, 0x45f3a4164685c, 0x2e59f919a966d },
01859         { 0x62d361a3231da, 0x65284004e01b8, 0x656533be91d60, 0x6ae016c00a89f, 0x3ddbc2a131c05 },
01860     },
01861 },
01862 {
01863     {
01864         { 0x257a22796bb14, 0x6f360fb443e75, 0x680e47220eaea, 0x2fcf2a5f10c18, 0x5ee7fb38d8320 },
01865         { 0x40ff9ce5ec54b, 0x57185e261b35b, 0x3e254540e70a9, 0x1b5814003e3f8, 0x78968314ac04b },
01866         { 0x5fdcb41446a8e, 0x5286926ff2a71, 0x0f231e296b3f6, 0x684a357c84693, 0x61d0633c9bca0 },
01867     },
01868     {
01869         { 0x328bcf8fc73df, 0x3b4de06ff95b4, 0x30aa427ba11a5, 0x5ee31bfda6d9c, 0x5b23ac2df8067 },
01870         { 0x44935ffdb2566, 0x12f016d176c6e, 0x4fbb00f16f5ae, 0x3fab78d99402a, 0x6e965fd847aed },
01871         { 0x2b953ee80527b, 0x55f5bcdb1b35a, 0x43a0b3fa23c66, 0x76e07388b820a, 0x79b9bbb9dd95d },
01872     },
01873     {
01874         { 0x17dae8e9f7374, 0x719f76102da33, 0x5117c2a80ca8b, 0x41a66b65d0936, 0x1ba811460accb },
01875         { 0x355406a3126c2, 0x50d1918727d76, 0x6e5ea0b498e0e, 0x0a3b6063214f2, 0x5065f158c9fd2 },
01876         { 0x169fb0c429954, 0x59aedd9ecee10, 0x39916eb851802, 0x57917555cc538, 0x3981f39e58a4f },
01877     },
01878     {
01879         { 0x5dfa56de66fde, 0x0058809075908, 0x6d3d8cb854a94, 0x5b2f4e970b1e3, 0x30f4452edcbc1 },
01880         { 0x38a7559230a93, 0x52c1cde8ba31f, 0x2a4f2d4745a3d, 0x07e9d42d4a28a, 0x38dc083705acd },
01881         { 0x52782c5759740, 0x53f3397d990ad, 0x3a939c7e84d15, 0x234c4227e39e0, 0x632d9a1a593f2 },
01882     },
01883     {
01884         { 0x1fd11ed0c84a7, 0x021b3ed2757e1, 0x73e1de58fc1c6, 0x5d110c84616ab, 0x3a5a7df28af64 },
01885         { 0x36b15b807cba6, 0x3f78a9e1afed7, 0x0a59c2c608f1f, 0x52bdd8ecb81b7, 0x0b24f48847ed4 },
01886         { 0x2d4be511beac7, 0x6bda4d99e5b9b, 0x17e6996914e01, 0x7b1f0ce7fcf80, 0x34fcf74475481 },
01887     },
01888     {
01889         { 0x31dab78cfaa98, 0x4e3216e5e54b7, 0x249823973b689, 0x2584984e48885, 0x0119a3042fb37 },
01890         { 0x7e04c789767ca, 0x1671b28cfb832, 0x7e57ea2e1c537, 0x1fbaaef444141, 0x3d3bdc164dfa6 },
01891         { 0x2d89ce8c2177d, 0x6cd12ba182cf4, 0x20a8ac19a7697, 0x539fab2cc72d9, 0x56c088f1ede20 },
01892     },
01893     {
01894         { 0x35fac24f38f02, 0x7d75c6197ab03, 0x33e4bc2a42fa7, 0x1c7cd10b48145, 0x038b7ea483590 },
01895         { 0x53d1110a86e17, 0x6416eb65f466d, 0x41ca6235fce20, 0x5c3fc8a99bb12, 0x09674c6b99108 },
01896         { 0x6f82199316ff8, 0x05d54f1a9f3e9, 0x3bcc5d0bd274a, 0x5b284b8d2d5ad, 0x6e5e31025969e },
01897     },
01898     {
01899         { 0x4fb0e63066222, 0x130f59747e660, 0x041868fecd41a, 0x3105e8c923bc6, 0x3058ad43d1838 },
01900         { 0x462f587e593fb, 0x3d94ba7ce362d, 0x330f9b52667b7, 0x5d45a48e0f00a, 0x08f5114789a8d },
01901         { 0x40ffde57663d0, 0x71445d4c20647, 0x2653e68170f7c, 0x64cdee3c55ed6, 0x26549fa4efe3d },
01902     },
01903 },
01904 {
01905     {
01906         { 0x68549af3f666e, 0x09e2941d4bb68, 0x2e8311f5dff3c, 0x6429ef91ffbd2, 0x3a10dfe132ce3 },
01907         { 0x55a461e6bf9d6, 0x78eeef4b02e83, 0x1d34f648c16cf, 0x07fea2aba5132, 0x1926e1dc6401e },
01908         { 0x74e8aea17cea0, 0x0c743f83fbc0f, 0x7cb03c4bf5455, 0x68a8ba9917e98, 0x1fa1d01d861e5 },
01909     },
01910     {
01911         { 0x4ac00d1df94ab, 0x3ba2101bd271b, 0x7578988b9c4af, 0x0f2bf89f49f7e, 0x73fced18ee9a0 },
01912         { 0x055947d599832, 0x346fe2aa41990, 0x0164c8079195b, 0x799ccfb7bba27, 0x773563bc6a75c },
01913         { 0x1e90863139cb3, 0x4f8b407d9a0d6, 0x58e24ca924f69, 0x7a246bbe76456, 0x1f426b701b864 },
01914     },
01915     {
01916         { 0x635c891a12552, 0x26aebd38ede2f, 0x66dc8faddae05, 0x21c7d41a03786, 0x0b76bb1b3fa7e },
01917         { 0x1264c41911c01, 0x702f44584bdf9, 0x43c511fc68ede, 0x0482c3aed35f9, 0x4e1af5271d31b },
01918         { 0x0c1f97f92939b, 0x17a88956dc117, 0x6ee005ef99dc7, 0x4aa9172b231cc, 0x7b6dd61eb772a },
01919     },
01920     {
01921         { 0x0abf9ab01d2c7, 0x3880287630ae6, 0x32eca045beddb, 0x57f43365f32d0, 0x53fa9b659bff6 },
01922         { 0x5c1e850f33d92, 0x1ec119ab9f6f5, 0x7f16f6de663e9, 0x7a7d6cb16dec6, 0x703e9bceaf1d2 },
01923         { 0x4c8e994885455, 0x4ccb5da9cad82, 0x3596bc610e975, 0x7a80c0ddb9f5e, 0x398d93e5c4c61 },
01924     },
01925     {
01926         { 0x77c60d2e7e3f2, 0x4061051763870, 0x67bc4e0ecd2aa, 0x2bb941f1373b9, 0x699c9c9002c30 },
01927         { 0x3d16733e248f3, 0x0e2b7e14be389, 0x42c0ddaf6784a, 0x589ea1fc67850, 0x53b09b5ddf191 },
01928         { 0x6a7235946f1cc, 0x6b99cbb2fbe60, 0x6d3a5d6485c62, 0x4839466e923c0, 0x51caf30c6fcdd },
01929     },
01930     {
01931         { 0x2f99a18ac54c7, 0x398a39661ee6f, 0x384331e40cde3, 0x4cd15c4de19a6, 0x12ae29c189f8e },
01932         { 0x3a7427674e00a, 0x6142f4f7e74c1, 0x4cc93318c3a15, 0x6d51bac2b1ee7, 0x5504aa292383f },
01933         { 0x6c0cb1f0d01cf, 0x187469ef5d533, 0x27138883747bf, 0x2f52ae53a90e8, 0x5fd14fe958eba },
01934     },
01935     {
01936         { 0x2fe5ebf93cb8e, 0x226da8acbe788, 0x10883a2fb7ea1, 0x094707842cf44, 0x7dd73f960725d },
01937         { 0x42ddf2845ab2c, 0x6214ffd3276bb, 0x00b8d181a5246, 0x268a6d579eb20, 0x093ff26e58647 },
01938         { 0x524fe68059829, 0x65b75e47cb621, 0x15eb0a5d5cc19, 0x05209b3929d5a, 0x2f59bcbc86b47 },
01939     },
01940     {
01941         { 0x1d560b691c301, 0x7f5bafce3ce08, 0x4cd561614806c, 0x4588b6170b188, 0x2aa55e3d01082 },
01942         { 0x47d429917135f, 0x3eacfa07af070, 0x1deab46b46e44, 0x7a53f3ba46cdf, 0x5458b42e2e51a },
01943         { 0x192e60c07444f, 0x5ae8843a21daa, 0x6d721910b1538, 0x3321a95a6417e, 0x13e9004a8a768 },
01944     },
01945 },
01946 {
01947     {
01948         { 0x600c9193b877f, 0x21c1b8a0d7765, 0x379927fb38ea2, 0x70d7679dbe01b, 0x5f46040898de9 },
01949         { 0x58845832fcedb, 0x135cd7f0c6e73, 0x53ffbdfe8e35b, 0x22f195e06e55b, 0x73937e8814bce },
01950         { 0x37116297bf48d, 0x45a9e0d069720, 0x25af71aa744ec, 0x41af0cb8aaba3, 0x2cf8a4e891d5e },
01951     },
01952     {
01953         { 0x5487e17d06ba2, 0x3872a032d6596, 0x65e28c09348e0, 0x27b6bb2ce40c2, 0x7a6f7f2891d6a },
01954         { 0x3fd8707110f67, 0x26f8716a92db2, 0x1cdaa1b753027, 0x504be58b52661, 0x2049bd6e58252 },
01955         { 0x1fd8d6a9aef49, 0x7cb67b7216fa1, 0x67aff53c3b982, 0x20ea610da9628, 0x6011aadfc5459 },
01956     },
01957     {
01958         { 0x6d0c802cbf890, 0x141bfed554c7b, 0x6dbb667ef4263, 0x58f3126857edc, 0x69ce18b779340 },
01959         { 0x7926dcf95f83c, 0x42e25120e2bec, 0x63de96df1fa15, 0x4f06b50f3f9cc, 0x6fc5cc1b0b62f },
01960         { 0x75528b29879cb, 0x79a8fd2125a3d, 0x27c8d4b746ab8, 0x0f8893f02210c, 0x15596b3ae5710 },
01961     },
01962     {
01963         { 0x731167e5124ca, 0x17b38e8bbe13f, 0x3d55b942f9056, 0x09c1495be913f, 0x3aa4e241afb6d },
01964         { 0x739d23f9179a2, 0x632fadbb9e8c4, 0x7c8522bfe0c48, 0x6ed0983ef5aa9, 0x0d2237687b5f4 },
01965         { 0x138bf2a3305f5, 0x1f45d24d86598, 0x5274bad2160fe, 0x1b6041d58d12a, 0x32fcaa6e4687a },
01966     },
01967     {
01968         { 0x7a4732787ccdf, 0x11e427c7f0640, 0x03659385f8c64, 0x5f4ead9766bfb, 0x746f6336c2600 },
01969         { 0x56e8dc57d9af5, 0x5b3be17be4f78, 0x3bf928cf82f4b, 0x52e55600a6f11, 0x4627e9cefebd6 },
01970         { 0x2f345ab6c971c, 0x653286e63e7e9, 0x51061b78a23ad, 0x14999acb54501, 0x7b4917007ed66 },
01971     },
01972     {
01973         { 0x41b28dd53a2dd, 0x37be85f87ea86, 0x74be3d2a85e41, 0x1be87fac96ca6, 0x1d03620fe08cd },
01974         { 0x5fb5cab84b064, 0x2513e778285b0, 0x457383125e043, 0x6bda3b56e223d, 0x122ba376f844f },
01975         { 0x232cda2b4e554, 0x0422ba30ff840, 0x751e7667b43f5, 0x6261755da5f3e, 0x02c70bf52b68e },
01976     },
01977     {
01978         { 0x532bf458d72e1, 0x40f96e796b59c, 0x22ef79d6f9da3, 0x501ab67beca77, 0x6b0697e3feb43 },
01979         { 0x7ec4b5d0b2fbb, 0x200e910595450, 0x742057105715e, 0x2f07022530f60, 0x26334f0a409ef },
01980         { 0x0f04adf62a3c0, 0x5e0edb48bb6d9, 0x7c34aa4fbc003, 0x7d74e4e5cac24, 0x1cc37f43441b2 },
01981     },
01982     {
01983         { 0x656f1c9ceaeb9, 0x7031cacad5aec, 0x1308cd0716c57, 0x41c1373941942, 0x3a346f772f196 },
01984         { 0x7565a5cc7324f, 0x01ca0d5244a11, 0x116b067418713, 0x0a57d8c55edae, 0x6c6809c103803 },
01985         { 0x55112e2da6ac8, 0x6363d0a3dba5a, 0x319c98ba6f40c, 0x2e84b03a36ec7, 0x05911b9f6ef7c },
01986     },
01987 },
01988 {
01989     {
01990         { 0x1acf3512eeaef, 0x2639839692a69, 0x669a234830507, 0x68b920c0603d4, 0x555ef9d1c64b2 },
01991         { 0x39983f5df0ebb, 0x1ea2589959826, 0x6ce638703cdd6, 0x6311678898505, 0x6b3cecf9aa270 },
01992         { 0x770ba3b73bd08, 0x11475f7e186d4, 0x0251bc9892bbc, 0x24eab9bffcc5a, 0x675f4de133817 },
01993     },
01994     {
01995         { 0x7f6d93bdab31d, 0x1f3aca5bfd425, 0x2fa521c1c9760, 0x62180ce27f9cd, 0x60f450b882cd3 },
01996         { 0x452036b1782fc, 0x02d95b07681c5, 0x5901cf99205b2, 0x290686e5eecb4, 0x13d99df70164c },
01997         { 0x35ec321e5c0ca, 0x13ae337f44029, 0x4008e813f2da7, 0x640272f8e0c3a, 0x1c06de9e55eda },
01998     },
01999     {
02000         { 0x52b40ff6d69aa, 0x31b8809377ffa, 0x536625cd14c2c, 0x516af252e17d1, 0x78096f8e7d32b },
02001         { 0x77ad6a33ec4e2, 0x717c5dc11d321, 0x4a114559823e4, 0x306ce50a1e2b1, 0x4cf38a1fec2db },
02002         { 0x2aa650dfa5ce7, 0x54916a8f19415, 0x00dc96fe71278, 0x55f2784e63eb8, 0x373cad3a26091 },
02003     },
02004     {
02005         { 0x6a8fb89ddbbad, 0x78c35d5d97e37, 0x66e3674ef2cb2, 0x34347ac53dd8f, 0x21547eda5112a },
02006         { 0x4634d82c9f57c, 0x4249268a6d652, 0x6336d687f2ff7, 0x4fe4f4e26d9a0, 0x0040f3d945441 },
02007         { 0x5e939fd5986d3, 0x12a2147019bdf, 0x4c466e7d09cb2, 0x6fa5b95d203dd, 0x63550a334a254 },
02008     },
02009     {
02010         { 0x2584572547b49, 0x75c58811c1377, 0x4d3c637cc171b, 0x33d30747d34e3, 0x39a92bafaa7d7 },
02011         { 0x7d6edb569cf37, 0x60194a5dc2ca0, 0x5af59745e10a6, 0x7a8f53e004875, 0x3eea62c7daf78 },
02012         { 0x4c713e693274e, 0x6ed1b7a6eb3a4, 0x62ace697d8e15, 0x266b8292ab075, 0x68436a0665c9c },
02013     },
02014     {
02015         { 0x6d317e820107c, 0x090815d2ca3ca, 0x03ff1eb1499a1, 0x23960f050e319, 0x5373669c91611 },
02016         { 0x235e8202f3f27, 0x44c9f2eb61780, 0x630905b1d7003, 0x4fcc8d274ead1, 0x17b6e7f68ab78 },
02017         { 0x014ab9a0e5257, 0x09939567f8ba5, 0x4b47b2a423c82, 0x688d7e57ac42d, 0x1cb4b5a678f87 },
02018     },
02019     {
02020         { 0x4aa62a2a007e7, 0x61e0e38f62d6e, 0x02f888fcc4782, 0x7562b83f21c00, 0x2dc0fd2d82ef6 },
02021         { 0x4c06b394afc6c, 0x4931b4bf636cc, 0x72b60d0322378, 0x25127c6818b25, 0x330bca78de743 },
02022         { 0x6ff841119744e, 0x2c560e8e49305, 0x7254fefe5a57a, 0x67ae2c560a7df, 0x3c31be1b369f1 },
02023     },
02024     {
02025         { 0x0bc93f9cb4272, 0x3f8f9db73182d, 0x2b235eabae1c4, 0x2ddbf8729551a, 0x41cec1097e7d5 },
02026         { 0x4864d08948aee, 0x5d237438df61e, 0x2b285601f7067, 0x25dbcbae6d753, 0x330b61134262d },
02027         { 0x619d7a26d808a, 0x3c3b3c2adbef2, 0x6877c9eec7f52, 0x3beb9ebe1b66d, 0x26b44cd91f287 },
02028     },
02029 },
02030 {
02031     {
02032         { 0x7f29362730383, 0x7fd7951459c36, 0x7504c512d49e7, 0x087ed7e3bc55f, 0x7deb10149c726 },
02033         { 0x048478f387475, 0x69397d9678a3e, 0x67c8156c976f3, 0x2eb4d5589226c, 0x2c709e6c1c10a },
02034         { 0x2af6a8766ee7a, 0x08aaa79a1d96c, 0x42f92d59b2fb0, 0x1752c40009c07, 0x08e68e9ff62ce },
02035     },
02036     {
02037         { 0x509d50ab8f2f9, 0x1b8ab247be5e5, 0x5d9b2e6b2e486, 0x4faa5479a1339, 0x4cb13bd738f71 },
02038         { 0x5500a4bc130ad, 0x127a17a938695, 0x02a26fa34e36d, 0x584d12e1ecc28, 0x2f1f3f87eeba3 },
02039         { 0x48c75e515b64a, 0x75b6952071ef0, 0x5d46d42965406, 0x7746106989f9f, 0x19a1e353c0ae2 },
02040     },
02041     {
02042         { 0x172cdd596bdbd, 0x0731ddf881684, 0x10426d64f8115, 0x71a4fd8a9a3da, 0x736bd3990266a },
02043         { 0x47560bafa05c3, 0x418dcabcc2fa3, 0x35991cecf8682, 0x24371a94b8c60, 0x41546b11c20c3 },
02044         { 0x32d509334b3b4, 0x16c102cae70aa, 0x1720dd51bf445, 0x5ae662faf9821, 0x412295a2b87fa },
02045     },
02046     {
02047         { 0x55261e293eac6, 0x06426759b65cc, 0x40265ae116a48, 0x6c02304bae5bc, 0x0760bb8d195ad },
02048         { 0x19b88f57ed6e9, 0x4cdbf1904a339, 0x42b49cd4e4f2c, 0x71a2e771909d9, 0x14e153ebb52d2 },
02049         { 0x61a17cde6818a, 0x53dad34108827, 0x32b32c55c55b6, 0x2f9165f9347a3, 0x6b34be9bc33ac },
02050     },
02051     {
02052         { 0x469656571f2d3, 0x0aa61ce6f423f, 0x3f940d71b27a1, 0x185f19d73d16a, 0x01b9c7b62e6dd },
02053         { 0x72f643a78c0b2, 0x3de45c04f9e7b, 0x706d68d30fa5c, 0x696f63e8e2f24, 0x2012c18f0922d },
02054         { 0x355e55ac89d29, 0x3e8b414ec7101, 0x39db07c520c90, 0x6f41e9b77efe1, 0x08af5b784e4ba },
02055     },
02056     {
02057         { 0x314d289cc2c4b, 0x23450e2f1bc4e, 0x0cd93392f92f4, 0x1370c6a946b7d, 0x6423c1d5afd98 },
02058         { 0x499dc881f2533, 0x34ef26476c506, 0x4d107d2741497, 0x346c4bd6efdb3, 0x32b79d71163a1 },
02059         { 0x5f8d9edfcb36a, 0x1e6e8dcbf3990, 0x7974f348af30a, 0x6e6724ef19c7c, 0x480a5efbc13e2 },
02060     },
02061     {
02062         { 0x14ce442ce221f, 0x18980a72516cc, 0x072f80db86677, 0x703331fda526e, 0x24b31d47691c8 },
02063         { 0x1e70b01622071, 0x1f163b5f8a16a, 0x56aaf341ad417, 0x7989635d830f7, 0x47aa27600cb7b },
02064         { 0x41eedc015f8c3, 0x7cf8d27ef854a, 0x289e3584693f9, 0x04a7857b309a7, 0x545b585d14dda },
02065     },
02066     {
02067         { 0x4e4d0e3b321e1, 0x7451fe3d2ac40, 0x666f678eea98d, 0x038858667fead, 0x4d22dc3e64c8d },
02068         { 0x7275ea0d43a0f, 0x681137dd7ccf7, 0x1e79cbab79a38, 0x22a214489a66a, 0x0f62f9c332ba5 },
02069         { 0x46589d63b5f39, 0x7eaf979ec3f96, 0x4ebe81572b9a8, 0x21b7f5d61694a, 0x1c0fa01a36371 },
02070     },
02071 },
02072 {
02073     {
02074         { 0x02b0e8c936a50, 0x6b83b58b6cd21, 0x37ed8d3e72680, 0x0a037db9f2a62, 0x4005419b1d2bc },
02075         { 0x604b622943dff, 0x1c899f6741a58, 0x60219e2f232fb, 0x35fae92a7f9cb, 0x0fa3614f3b1ca },
02076         { 0x3febdb9be82f0, 0x5e74895921400, 0x553ea38822706, 0x5a17c24cfc88c, 0x1fba218aef40a },
02077     },
02078     {
02079         { 0x657043e7b0194, 0x5c11b55efe9e7, 0x7737bc6a074fb, 0x0eae41ce355cc, 0x6c535d13ff776 },
02080         { 0x49448fac8f53e, 0x34f74c6e8356a, 0x0ad780607dba2, 0x7213a7eb63eb6, 0x392e3acaa8c86 },
02081         { 0x534e93e8a35af, 0x08b10fd02c997, 0x26ac2acb81e05, 0x09d8c98ce3b79, 0x25e17fe4d50ac },
02082     },
02083     {
02084         { 0x77ff576f121a7, 0x4e5f9b0fc722b, 0x46f949b0d28c8, 0x4cde65d17ef26, 0x6bba828f89698 },
02085         { 0x09bd71e04f676, 0x25ac841f2a145, 0x1a47eac823871, 0x1a8a8c36c581a, 0x255751442a9fb },
02086         { 0x1bc6690fe3901, 0x314132f5abc5a, 0x611835132d528, 0x5f24b8eb48a57, 0x559d504f7f6b7 },
02087     },
02088     {
02089         { 0x091e7f6d266fd, 0x36060ef037389, 0x18788ec1d1286, 0x287441c478eb0, 0x123ea6a3354bd },
02090         { 0x38378b3eb54d5, 0x4d4aaa78f94ee, 0x4a002e875a74d, 0x10b851367b17c, 0x01ab12d5807e3 },
02091         { 0x5189041e32d96, 0x05b062b090231, 0x0c91766e7b78f, 0x0aa0f55a138ec, 0x4a3961e2c918a },
02092     },
02093     {
02094         { 0x7d644f3233f1e, 0x1c69f9e02c064, 0x36ae5e5266898, 0x08fc1dad38b79, 0x68aceead9bd41 },
02095         { 0x43be0f8e6bba0, 0x68fdffc614e3b, 0x4e91dab5b3be0, 0x3b1d4c9212ff0, 0x2cd6bce3fb1db },
02096         { 0x4c90ef3d7c210, 0x496f5a0818716, 0x79cf88cc239b8, 0x2cb9c306cf8db, 0x595760d5b508f },
02097     },
02098     {
02099         { 0x2cbebfd022790, 0x0b8822aec1105, 0x4d1cfd226bccc, 0x515b2fa4971be, 0x2cb2c5df54515 },
02100         { 0x1bfe104aa6397, 0x11494ff996c25, 0x64251623e5800, 0x0d49fc5e044be, 0x709fa43edcb29 },
02101         { 0x25d8c63fd2aca, 0x4c5cd29dffd61, 0x32ec0eb48af05, 0x18f9391f9b77c, 0x70f029ecf0c81 },
02102     },
02103     {
02104         { 0x2afaa5e10b0b9, 0x61de08355254d, 0x0eb587de3c28d, 0x4f0bb9f7dbbd5, 0x44eca5a2a74bd },
02105         { 0x307b32eed3e33, 0x6748ab03ce8c2, 0x57c0d9ab810bc, 0x42c64a224e98c, 0x0b7d5d8a6c314 },
02106         { 0x448327b95d543, 0x0146681e3a4ba, 0x38714adc34e0c, 0x4f26f0e298e30, 0x272224512c7de },
02107     },
02108     {
02109         { 0x3bb8a42a975fc, 0x6f2d5b46b17ef, 0x7b6a9223170e5, 0x053713fe3b7e6, 0x19735fd7f6bc2 },
02110         { 0x492af49c5342e, 0x2365cdf5a0357, 0x32138a7ffbb60, 0x2a1f7d14646fe, 0x11b5df18a44cc },
02111         { 0x390d042c84266, 0x1efe32a8fdc75, 0x6925ee7ae1238, 0x4af9281d0e832, 0x0fef911191df8 },
02112     },
02113 },
02114 };
02115 #else
02116 /* base[i][j] = (j+1)*256^i*B */
02117 static const ge_precomp base[32][8] = {
02118 {
02119  {
02120   { 25967493,-14356035,29566456,3660896,-12694345,4014787,27544626,-11754271,-6079156,2047605 },
02121   { -12545711,934262,-2722910,3049990,-727428,9406986,12720692,5043384,19500929,-15469378 },
02122   { -8738181,4489570,9688441,-14785194,10184609,-12363380,29287919,11864899,-24514362,-4438546 },
02123  },
02124  {
02125   { -12815894,-12976347,-21581243,11784320,-25355658,-2750717,-11717903,-3814571,-358445,-10211303 },
02126   { -21703237,6903825,27185491,6451973,-29577724,-9554005,-15616551,11189268,-26829678,-5319081 },
02127   { 26966642,11152617,32442495,15396054,14353839,-12752335,-3128826,-9541118,-15472047,-4166697 },
02128  },
02129  {
02130   { 15636291,-9688557,24204773,-7912398,616977,-16685262,27787600,-14772189,28944400,-1550024 },
02131   { 16568933,4717097,-11556148,-1102322,15682896,-11807043,16354577,-11775962,7689662,11199574 },
02132   { 30464156,-5976125,-11779434,-15670865,23220365,15915852,7512774,10017326,-17749093,-9920357 },
02133  },
02134  {
02135   { -17036878,13921892,10945806,-6033431,27105052,-16084379,-28926210,15006023,3284568,-6276540 },
02136   { 23599295,-8306047,-11193664,-7687416,13236774,10506355,7464579,9656445,13059162,10374397 },
02137   { 7798556,16710257,3033922,2874086,28997861,2835604,32406664,-3839045,-641708,-101325 },
02138  },
02139  {
02140   { 10861363,11473154,27284546,1981175,-30064349,12577861,32867885,14515107,-15438304,10819380 },
02141   { 4708026,6336745,20377586,9066809,-11272109,6594696,-25653668,12483688,-12668491,5581306 },
02142   { 19563160,16186464,-29386857,4097519,10237984,-4348115,28542350,13850243,-23678021,-15815942 },
02143  },
02144  {
02145   { -15371964,-12862754,32573250,4720197,-26436522,5875511,-19188627,-15224819,-9818940,-12085777 },
02146   { -8549212,109983,15149363,2178705,22900618,4543417,3044240,-15689887,1762328,14866737 },
02147   { -18199695,-15951423,-10473290,1707278,-17185920,3916101,-28236412,3959421,27914454,4383652 },
02148  },
02149  {
02150   { 5153746,9909285,1723747,-2777874,30523605,5516873,19480852,5230134,-23952439,-15175766 },
02151   { -30269007,-3463509,7665486,10083793,28475525,1649722,20654025,16520125,30598449,7715701 },
02152   { 28881845,14381568,9657904,3680757,-20181635,7843316,-31400660,1370708,29794553,-1409300 },
02153  },
02154  {
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03226  {
03227   { 31879134,-8918693,17258761,90626,-8041836,-4917709,24162788,-9650886,-17970238,12833045 },
03228   { 19073683,14851414,-24403169,-11860168,7625278,11091125,-19619190,2074449,-9413939,14905377 },
03229   { 24483667,-11935567,-2518866,-11547418,-1553130,15355506,-25282080,9253129,27628530,-7555480 },
03230  },
03231  {
03232   { 17597607,8340603,19355617,552187,26198470,-3176583,4593324,-9157582,-14110875,15297016 },
03233   { 510886,14337390,-31785257,16638632,6328095,2713355,-20217417,-11864220,8683221,2921426 },
03234   { 18606791,11874196,27155355,-5281482,-24031742,6265446,-25178240,-1278924,4674690,13890525 },
03235  },
03236  {
03237   { 13609624,13069022,-27372361,-13055908,24360586,9592974,14977157,9835105,4389687,288396 },
03238   { 9922506,-519394,13613107,5883594,-18758345,-434263,-12304062,8317628,23388070,16052080 },
03239   { 12720016,11937594,-31970060,-5028689,26900120,8561328,-20155687,-11632979,-14754271,-10812892 },
03240  },
03241  {
03242   { 15961858,14150409,26716931,-665832,-22794328,13603569,11829573,7467844,-28822128,929275 },
03243   { 11038231,-11582396,-27310482,-7316562,-10498527,-16307831,-23479533,-9371869,-21393143,2465074 },
03244   { 20017163,-4323226,27915242,1529148,12396362,15675764,13817261,-9658066,2463391,-4622140 },
03245  },
03246  {
03247   { -16358878,-12663911,-12065183,4996454,-1256422,1073572,9583558,12851107,4003896,12673717 },
03248   { -1731589,-15155870,-3262930,16143082,19294135,13385325,14741514,-9103726,7903886,2348101 },
03249   { 24536016,-16515207,12715592,-3862155,1511293,10047386,-3842346,-7129159,-28377538,10048127 },
03250  },
03251 },
03252 {
03253  {
03254   { -12622226,-6204820,30718825,2591312,-10617028,12192840,18873298,-7297090,-32297756,15221632 },
03255   { -26478122,-11103864,11546244,-1852483,9180880,7656409,-21343950,2095755,29769758,6593415 },
03256   { -31994208,-2907461,4176912,3264766,12538965,-868111,26312345,-6118678,30958054,8292160 },
03257  },
03258  {
03259   { 31429822,-13959116,29173532,15632448,12174511,-2760094,32808831,3977186,26143136,-3148876 },
03260   { 22648901,1402143,-22799984,13746059,7936347,365344,-8668633,-1674433,-3758243,-2304625 },
03261   { -15491917,8012313,-2514730,-12702462,-23965846,-10254029,-1612713,-1535569,-16664475,8194478 },
03262  },
03263  {
03264   { 27338066,-7507420,-7414224,10140405,-19026427,-6589889,27277191,8855376,28572286,3005164 },
03265   { 26287124,4821776,25476601,-4145903,-3764513,-15788984,-18008582,1182479,-26094821,-13079595 },
03266   { -7171154,3178080,23970071,6201893,-17195577,-4489192,-21876275,-13982627,32208683,-1198248 },
03267  },
03268  {
03269   { -16657702,2817643,-10286362,14811298,6024667,13349505,-27315504,-10497842,-27672585,-11539858 },
03270   { 15941029,-9405932,-21367050,8062055,31876073,-238629,-15278393,-1444429,15397331,-4130193 },
03271   { 8934485,-13485467,-23286397,-13423241,-32446090,14047986,31170398,-1441021,-27505566,15087184 },
03272  },
03273  {
03274   { -18357243,-2156491,24524913,-16677868,15520427,-6360776,-15502406,11461896,16788528,-5868942 },
03275   { -1947386,16013773,21750665,3714552,-17401782,-16055433,-3770287,-10323320,31322514,-11615635 },
03276   { 21426655,-5650218,-13648287,-5347537,-28812189,-4920970,-18275391,-14621414,13040862,-12112948 },
03277  },
03278  {
03279   { 11293895,12478086,-27136401,15083750,-29307421,14748872,14555558,-13417103,1613711,4896935 },
03280   { -25894883,15323294,-8489791,-8057900,25967126,-13425460,2825960,-4897045,-23971776,-11267415 },
03281   { -15924766,-5229880,-17443532,6410664,3622847,10243618,20615400,12405433,-23753030,-8436416 },
03282  },
03283  {
03284   { -7091295,12556208,-20191352,9025187,-17072479,4333801,4378436,2432030,23097949,-566018 },
03285   { 4565804,-16025654,20084412,-7842817,1724999,189254,24767264,10103221,-18512313,2424778 },
03286   { 366633,-11976806,8173090,-6890119,30788634,5745705,-7168678,1344109,-3642553,12412659 },
03287  },
03288  {
03289   { -24001791,7690286,14929416,-168257,-32210835,-13412986,24162697,-15326504,-3141501,11179385 },
03290   { 18289522,-14724954,8056945,16430056,-21729724,7842514,-6001441,-1486897,-18684645,-11443503 },
03291   { 476239,6601091,-6152790,-9723375,17503545,-4863900,27672959,13403813,11052904,5219329 },
03292  },
03293 },
03294 {
03295  {
03296   { 20678546,-8375738,-32671898,8849123,-5009758,14574752,31186971,-3973730,9014762,-8579056 },
03297   { -13644050,-10350239,-15962508,5075808,-1514661,-11534600,-33102500,9160280,8473550,-3256838 },
03298   { 24900749,14435722,17209120,-15292541,-22592275,9878983,-7689309,-16335821,-24568481,11788948 },
03299  },
03300  {
03301   { -3118155,-11395194,-13802089,14797441,9652448,-6845904,-20037437,10410733,-24568470,-1458691 },
03302   { -15659161,16736706,-22467150,10215878,-9097177,7563911,11871841,-12505194,-18513325,8464118 },
03303   { -23400612,8348507,-14585951,-861714,-3950205,-6373419,14325289,8628612,33313881,-8370517 },
03304  },
03305  {
03306   { -20186973,-4967935,22367356,5271547,-1097117,-4788838,-24805667,-10236854,-8940735,-5818269 },
03307   { -6948785,-1795212,-32625683,-16021179,32635414,-7374245,15989197,-12838188,28358192,-4253904 },
03308   { -23561781,-2799059,-32351682,-1661963,-9147719,10429267,-16637684,4072016,-5351664,5596589 },
03309  },
03310  {
03311   { -28236598,-3390048,12312896,6213178,3117142,16078565,29266239,2557221,1768301,15373193 },
03312   { -7243358,-3246960,-4593467,-7553353,-127927,-912245,-1090902,-4504991,-24660491,3442910 },
03313   { -30210571,5124043,14181784,8197961,18964734,-11939093,22597931,7176455,-18585478,13365930 },
03314  },
03315  {
03316   { -7877390,-1499958,8324673,4690079,6261860,890446,24538107,-8570186,-9689599,-3031667 },
03317   { 25008904,-10771599,-4305031,-9638010,16265036,15721635,683793,-11823784,15723479,-15163481 },
03318   { -9660625,12374379,-27006999,-7026148,-7724114,-12314514,11879682,5400171,519526,-1235876 },
03319  },
03320  {
03321   { 22258397,-16332233,-7869817,14613016,-22520255,-2950923,-20353881,7315967,16648397,7605640 },
03322   { -8081308,-8464597,-8223311,9719710,19259459,-15348212,23994942,-5281555,-9468848,4763278 },
03323   { -21699244,9220969,-15730624,1084137,-25476107,-2852390,31088447,-7764523,-11356529,728112 },
03324  },
03325  {
03326   { 26047220,-11751471,-6900323,-16521798,24092068,9158119,-4273545,-12555558,-29365436,-5498272 },
03327   { 17510331,-322857,5854289,8403524,17133918,-3112612,-28111007,12327945,10750447,10014012 },
03328   { -10312768,3936952,9156313,-8897683,16498692,-994647,-27481051,-666732,3424691,7540221 },
03329  },
03330  {
03331   { 30322361,-6964110,11361005,-4143317,7433304,4989748,-7071422,-16317219,-9244265,15258046 },
03332   { 13054562,-2779497,19155474,469045,-12482797,4566042,5631406,2711395,1062915,-5136345 },
03333   { -19240248,-11254599,-29509029,-7499965,-5835763,13005411,-6066489,12194497,32960380,1459310 },
03334  },
03335 },
03336 {
03337  {
03338   { 19852034,7027924,23669353,10020366,8586503,-6657907,394197,-6101885,18638003,-11174937 },
03339   { 31395534,15098109,26581030,8030562,-16527914,-5007134,9012486,-7584354,-6643087,-5442636 },
03340   { -9192165,-2347377,-1997099,4529534,25766844,607986,-13222,9677543,-32294889,-6456008 },
03341  },
03342  {
03343   { -2444496,-149937,29348902,8186665,1873760,12489863,-30934579,-7839692,-7852844,-8138429 },
03344   { -15236356,-15433509,7766470,746860,26346930,-10221762,-27333451,10754588,-9431476,5203576 },
03345   { 31834314,14135496,-770007,5159118,20917671,-16768096,-7467973,-7337524,31809243,7347066 },
03346  },
03347  {
03348   { -9606723,-11874240,20414459,13033986,13716524,-11691881,19797970,-12211255,15192876,-2087490 },
03349   { -12663563,-2181719,1168162,-3804809,26747877,-14138091,10609330,12694420,33473243,-13382104 },
03350   { 33184999,11180355,15832085,-11385430,-1633671,225884,15089336,-11023903,-6135662,14480053 },
03351  },
03352  {
03353   { 31308717,-5619998,31030840,-1897099,15674547,-6582883,5496208,13685227,27595050,8737275 },
03354   { -20318852,-15150239,10933843,-16178022,8335352,-7546022,-31008351,-12610604,26498114,66511 },
03355   { 22644454,-8761729,-16671776,4884562,-3105614,-13559366,30540766,-4286747,-13327787,-7515095 },
03356  },
03357  {
03358   { -28017847,9834845,18617207,-2681312,-3401956,-13307506,8205540,13585437,-17127465,15115439 },
03359   { 23711543,-672915,31206561,-8362711,6164647,-9709987,-33535882,-1426096,8236921,16492939 },
03360   { -23910559,-13515526,-26299483,-4503841,25005590,-7687270,19574902,10071562,6708380,-6222424 },
03361  },
03362  {
03363   { 2101391,-4930054,19702731,2367575,-15427167,1047675,5301017,9328700,29955601,-11678310 },
03364   { 3096359,9271816,-21620864,-15521844,-14847996,-7592937,-25892142,-12635595,-9917575,6216608 },
03365   { -32615849,338663,-25195611,2510422,-29213566,-13820213,24822830,-6146567,-26767480,7525079 },
03366  },
03367  {
03368   { -23066649,-13985623,16133487,-7896178,-3389565,778788,-910336,-2782495,-19386633,11994101 },
03369   { 21691500,-13624626,-641331,-14367021,3285881,-3483596,-25064666,9718258,-7477437,13381418 },
03370   { 18445390,-4202236,14979846,11622458,-1727110,-3582980,23111648,-6375247,28535282,15779576 },
03371  },
03372  {
03373   { 30098053,3089662,-9234387,16662135,-21306940,11308411,-14068454,12021730,9955285,-16303356 },
03374   { 9734894,-14576830,-7473633,-9138735,2060392,11313496,-18426029,9924399,20194861,13380996 },
03375   { -26378102,-7965207,-22167821,15789297,-18055342,-6168792,-1984914,15707771,26342023,10146099 },
03376  },
03377 },
03378 {
03379  {
03380   { -26016874,-219943,21339191,-41388,19745256,-2878700,-29637280,2227040,21612326,-545728 },
03381   { -13077387,1184228,23562814,-5970442,-20351244,-6348714,25764461,12243797,-20856566,11649658 },
03382   { -10031494,11262626,27384172,2271902,26947504,-15997771,39944,6114064,33514190,2333242 },
03383  },
03384  {
03385   { -21433588,-12421821,8119782,7219913,-21830522,-9016134,-6679750,-12670638,24350578,-13450001 },
03386   { -4116307,-11271533,-23886186,4843615,-30088339,690623,-31536088,-10406836,8317860,12352766 },
03387   { 18200138,-14475911,-33087759,-2696619,-23702521,-9102511,-23552096,-2287550,20712163,6719373 },
03388  },
03389  {
03390   { 26656208,6075253,-7858556,1886072,-28344043,4262326,11117530,-3763210,26224235,-3297458 },
03391   { -17168938,-14854097,-3395676,-16369877,-19954045,14050420,21728352,9493610,18620611,-16428628 },
03392   { -13323321,13325349,11432106,5964811,18609221,6062965,-5269471,-9725556,-30701573,-16479657 },
03393  },
03394  {
03395   { -23860538,-11233159,26961357,1640861,-32413112,-16737940,12248509,-5240639,13735342,1934062 },
03396   { 25089769,6742589,17081145,-13406266,21909293,-16067981,-15136294,-3765346,-21277997,5473616 },
03397   { 31883677,-7961101,1083432,-11572403,22828471,13290673,-7125085,12469656,29111212,-5451014 },
03398  },
03399  {
03400   { 24244947,-15050407,-26262976,2791540,-14997599,16666678,24367466,6388839,-10295587,452383 },
03401   { -25640782,-3417841,5217916,16224624,19987036,-4082269,-24236251,-5915248,15766062,8407814 },
03402   { -20406999,13990231,15495425,16395525,5377168,15166495,-8917023,-4388953,-8067909,2276718 },
03403  },
03404  {
03405   { 30157918,12924066,-17712050,9245753,19895028,3368142,-23827587,5096219,22740376,-7303417 },
03406   { 2041139,-14256350,7783687,13876377,-25946985,-13352459,24051124,13742383,-15637599,13295222 },
03407   { 33338237,-8505733,12532113,7977527,9106186,-1715251,-17720195,-4612972,-4451357,-14669444 },
03408  },
03409  {
03410   { -20045281,5454097,-14346548,6447146,28862071,1883651,-2469266,-4141880,7770569,9620597 },
03411   { 23208068,7979712,33071466,8149229,1758231,-10834995,30945528,-1694323,-33502340,-14767970 },
03412   { 1439958,-16270480,-1079989,-793782,4625402,10647766,-5043801,1220118,30494170,-11440799 },
03413  },
03414  {
03415   { -5037580,-13028295,-2970559,-3061767,15640974,-6701666,-26739026,926050,-1684339,-13333647 },
03416   { 13908495,-3549272,30919928,-6273825,-21521863,7989039,9021034,9078865,3353509,4033511 },
03417   { -29663431,-15113610,32259991,-344482,24295849,-12912123,23161163,8839127,27485041,7356032 },
03418  },
03419 },
03420 {
03421  {
03422   { 9661027,705443,11980065,-5370154,-1628543,14661173,-6346142,2625015,28431036,-16771834 },
03423   { -23839233,-8311415,-25945511,7480958,-17681669,-8354183,-22545972,14150565,15970762,4099461 },
03424   { 29262576,16756590,26350592,-8793563,8529671,-11208050,13617293,-9937143,11465739,8317062 },
03425  },
03426  {
03427   { -25493081,-6962928,32500200,-9419051,-23038724,-2302222,14898637,3848455,20969334,-5157516 },
03428   { -20384450,-14347713,-18336405,13884722,-33039454,2842114,-21610826,-3649888,11177095,14989547 },
03429   { -24496721,-11716016,16959896,2278463,12066309,10137771,13515641,2581286,-28487508,9930240 },
03430  },
03431  {
03432   { -17751622,-2097826,16544300,-13009300,-15914807,-14949081,18345767,-13403753,16291481,-5314038 },
03433   { -33229194,2553288,32678213,9875984,8534129,6889387,-9676774,6957617,4368891,9788741 },
03434   { 16660756,7281060,-10830758,12911820,20108584,-8101676,-21722536,-8613148,16250552,-11111103 },
03435  },
03436  {
03437   { -19765507,2390526,-16551031,14161980,1905286,6414907,4689584,10604807,-30190403,4782747 },
03438   { -1354539,14736941,-7367442,-13292886,7710542,-14155590,-9981571,4383045,22546403,437323 },
03439   { 31665577,-12180464,-16186830,1491339,-18368625,3294682,27343084,2786261,-30633590,-14097016 },
03440  },
03441  {
03442   { -14467279,-683715,-33374107,7448552,19294360,14334329,-19690631,2355319,-19284671,-6114373 },
03443   { 15121312,-15796162,6377020,-6031361,-10798111,-12957845,18952177,15496498,-29380133,11754228 },
03444   { -2637277,-13483075,8488727,-14303896,12728761,-1622493,7141596,11724556,22761615,-10134141 },
03445  },
03446  {
03447   { 16918416,11729663,-18083579,3022987,-31015732,-13339659,-28741185,-12227393,32851222,11717399 },
03448   { 11166634,7338049,-6722523,4531520,-29468672,-7302055,31474879,3483633,-1193175,-4030831 },
03449   { -185635,9921305,31456609,-13536438,-12013818,13348923,33142652,6546660,-19985279,-3948376 },
03450  },
03451  {
03452   { -32460596,11266712,-11197107,-7899103,31703694,3855903,-8537131,-12833048,-30772034,-15486313 },
03453   { -18006477,12709068,3991746,-6479188,-21491523,-10550425,-31135347,-16049879,10928917,3011958 },
03454   { -6957757,-15594337,31696059,334240,29576716,14796075,-30831056,-12805180,18008031,10258577 },
03455  },
03456  {
03457   { -22448644,15655569,7018479,-4410003,-30314266,-1201591,-1853465,1367120,25127874,6671743 },
03458   { 29701166,-14373934,-10878120,9279288,-17568,13127210,21382910,11042292,25838796,4642684 },
03459   { -20430234,14955537,-24126347,8124619,-5369288,-5990470,30468147,-13900640,18423289,4177476 },
03460  },
03461 },
03462 } ;
03463 #endif
03464 
03465 
03466 static void ge_select(ge_precomp *t,int pos,signed char b)
03467 {
03468   ge_precomp minust;
03469   unsigned char bnegative = negative(b);
03470   unsigned char babs = b - (((-bnegative) & b) << 1);
03471 
03472   ge_precomp_0(t);
03473   cmov(t,&base[pos][0],equal(babs,1));
03474   cmov(t,&base[pos][1],equal(babs,2));
03475   cmov(t,&base[pos][2],equal(babs,3));
03476   cmov(t,&base[pos][3],equal(babs,4));
03477   cmov(t,&base[pos][4],equal(babs,5));
03478   cmov(t,&base[pos][5],equal(babs,6));
03479   cmov(t,&base[pos][6],equal(babs,7));
03480   cmov(t,&base[pos][7],equal(babs,8));
03481   fe_copy(minust.yplusx,t->yminusx);
03482   fe_copy(minust.yminusx,t->yplusx);
03483   fe_neg(minust.xy2d,t->xy2d);
03484   cmov(t,&minust,bnegative);
03485 }
03486 
03487 
03488 /*
03489 h = a * B
03490 where a = a[0]+256*a[1]+...+256^31 a[31]
03491 B is the Ed25519 base point (x,4/5) with x positive.
03492 
03493 Preconditions:
03494   a[31] <= 127
03495 */
03496 void ge_scalarmult_base(ge_p3 *h,const unsigned char *a)
03497 {
03498   signed char e[64];
03499   signed char carry;
03500   ge_p1p1 r;
03501   ge_p2 s;
03502   ge_precomp t;
03503   int i;
03504 
03505   for (i = 0;i < 32;++i) {
03506     e[2 * i + 0] = (a[i] >> 0) & 15;
03507     e[2 * i + 1] = (a[i] >> 4) & 15;
03508   }
03509   /* each e[i] is between 0 and 15 */
03510   /* e[63] is between 0 and 7 */
03511 
03512   carry = 0;
03513   for (i = 0;i < 63;++i) {
03514     e[i] += carry;
03515     carry = e[i] + 8;
03516     carry >>= 4;
03517     e[i] -= carry << 4;
03518   }
03519   e[63] += carry;
03520   /* each e[i] is between -8 and 8 */
03521 
03522   ge_p3_0(h);
03523   for (i = 1;i < 64;i += 2) {
03524     ge_select(&t,i / 2,e[i]);
03525     ge_madd(&r,h,&t); ge_p1p1_to_p3(h,&r);
03526   }
03527 
03528   ge_p3_dbl(&r,h);  ge_p1p1_to_p2(&s,&r);
03529   ge_p2_dbl(&r,&s); ge_p1p1_to_p2(&s,&r);
03530   ge_p2_dbl(&r,&s); ge_p1p1_to_p2(&s,&r);
03531   ge_p2_dbl(&r,&s); ge_p1p1_to_p3(h,&r);
03532 
03533   for (i = 0;i < 64;i += 2) {
03534     ge_select(&t,i / 2,e[i]);
03535     ge_madd(&r,h,&t); ge_p1p1_to_p3(h,&r);
03536   }
03537 }
03538 
03539 
03540 /* ge double scalar mult */
03541 static void slide(signed char *r,const unsigned char *a)
03542 {
03543   int i;
03544   int b;
03545   int k;
03546 
03547   for (i = 0;i < 256;++i)
03548     r[i] = 1 & (a[i >> 3] >> (i & 7));
03549 
03550   for (i = 0;i < 256;++i)
03551     if (r[i]) {
03552       for (b = 1;b <= 6 && i + b < 256;++b) {
03553         if (r[i + b]) {
03554           if (r[i] + (r[i + b] << b) <= 15) {
03555             r[i] += r[i + b] << b; r[i + b] = 0;
03556           } else if (r[i] - (r[i + b] << b) >= -15) {
03557             r[i] -= r[i + b] << b;
03558             for (k = i + b;k < 256;++k) {
03559               if (!r[k]) {
03560                 r[k] = 1;
03561                 break;
03562               }
03563               r[k] = 0;
03564             }
03565           } else
03566             break;
03567         }
03568       }
03569     }
03570 }
03571 
03572 #ifdef HAVE___UINT128_T
03573 static const ge_precomp Bi[8] = {
03574     {
03575         { 0x493c6f58c3b85, 0x0df7181c325f7, 0x0f50b0b3e4cb7, 0x5329385a44c32, 0x07cf9d3a33d4b },
03576         { 0x03905d740913e, 0x0ba2817d673a2, 0x23e2827f4e67c, 0x133d2e0c21a34, 0x44fd2f9298f81 },
03577         { 0x11205877aaa68, 0x479955893d579, 0x50d66309b67a0, 0x2d42d0dbee5ee, 0x6f117b689f0c6 },
03578     },
03579     {
03580         { 0x5b0a84cee9730, 0x61d10c97155e4, 0x4059cc8096a10, 0x47a608da8014f, 0x7a164e1b9a80f },
03581         { 0x11fe8a4fcd265, 0x7bcb8374faacc, 0x52f5af4ef4d4f, 0x5314098f98d10, 0x2ab91587555bd },
03582         { 0x6933f0dd0d889, 0x44386bb4c4295, 0x3cb6d3162508c, 0x26368b872a2c6, 0x5a2826af12b9b },
03583     },
03584     {
03585         { 0x2bc4408a5bb33, 0x078ebdda05442, 0x2ffb112354123, 0x375ee8df5862d, 0x2945ccf146e20 },
03586         { 0x182c3a447d6ba, 0x22964e536eff2, 0x192821f540053, 0x2f9f19e788e5c, 0x154a7e73eb1b5 },
03587         { 0x3dbf1812a8285, 0x0fa17ba3f9797, 0x6f69cb49c3820, 0x34d5a0db3858d, 0x43aabe696b3bb },
03588     },
03589     {
03590         { 0x25cd0944ea3bf, 0x75673b81a4d63, 0x150b925d1c0d4, 0x13f38d9294114, 0x461bea69283c9 },
03591         { 0x72c9aaa3221b1, 0x267774474f74d, 0x064b0e9b28085, 0x3f04ef53b27c9, 0x1d6edd5d2e531 },
03592         { 0x36dc801b8b3a2, 0x0e0a7d4935e30, 0x1deb7cecc0d7d, 0x053a94e20dd2c, 0x7a9fbb1c6a0f9 },
03593     },
03594     {
03595         { 0x6678aa6a8632f, 0x5ea3788d8b365, 0x21bd6d6994279, 0x7ace75919e4e3, 0x34b9ed338add7 },
03596         { 0x6217e039d8064, 0x6dea408337e6d, 0x57ac112628206, 0x647cb65e30473, 0x49c05a51fadc9 },
03597         { 0x4e8bf9045af1b, 0x514e33a45e0d6, 0x7533c5b8bfe0f, 0x583557b7e14c9, 0x73c172021b008 },
03598     },
03599     {
03600         { 0x700848a802ade, 0x1e04605c4e5f7, 0x5c0d01b9767fb, 0x7d7889f42388b, 0x4275aae2546d8 },
03601         { 0x75b0249864348, 0x52ee11070262b, 0x237ae54fb5acd, 0x3bfd1d03aaab5, 0x18ab598029d5c },
03602         { 0x32cc5fd6089e9, 0x426505c949b05, 0x46a18880c7ad2, 0x4a4221888ccda, 0x3dc65522b53df },
03603     },
03604     {
03605         { 0x0c222a2007f6d, 0x356b79bdb77ee, 0x41ee81efe12ce, 0x120a9bd07097d, 0x234fd7eec346f },
03606         { 0x7013b327fbf93, 0x1336eeded6a0d, 0x2b565a2bbf3af, 0x253ce89591955, 0x0267882d17602 },
03607         { 0x0a119732ea378, 0x63bf1ba8e2a6c, 0x69f94cc90df9a, 0x431d1779bfc48, 0x497ba6fdaa097 },
03608     },
03609     {
03610         { 0x6cc0313cfeaa0, 0x1a313848da499, 0x7cb534219230a, 0x39596dedefd60, 0x61e22917f12de },
03611         { 0x3cd86468ccf0b, 0x48553221ac081, 0x6c9464b4e0a6e, 0x75fba84180403, 0x43b5cd4218d05 },
03612         { 0x2762f9bd0b516, 0x1c6e7fbddcbb3, 0x75909c3ace2bd, 0x42101972d3ec9, 0x511d61210ae4d },
03613     },
03614 };
03615 #else
03616 static const ge_precomp Bi[8] = {
03617  {
03618   { 25967493,-14356035,29566456,3660896,-12694345,4014787,27544626,-11754271,-6079156,2047605 },
03619   { -12545711,934262,-2722910,3049990,-727428,9406986,12720692,5043384,19500929,-15469378 },
03620   { -8738181,4489570,9688441,-14785194,10184609,-12363380,29287919,11864899,-24514362,-4438546 },
03621  },
03622  {
03623   { 15636291,-9688557,24204773,-7912398,616977,-16685262,27787600,-14772189,28944400,-1550024 },
03624   { 16568933,4717097,-11556148,-1102322,15682896,-11807043,16354577,-11775962,7689662,11199574 },
03625   { 30464156,-5976125,-11779434,-15670865,23220365,15915852,7512774,10017326,-17749093,-9920357 },
03626  },
03627  {
03628   { 10861363,11473154,27284546,1981175,-30064349,12577861,32867885,14515107,-15438304,10819380 },
03629   { 4708026,6336745,20377586,9066809,-11272109,6594696,-25653668,12483688,-12668491,5581306 },
03630   { 19563160,16186464,-29386857,4097519,10237984,-4348115,28542350,13850243,-23678021,-15815942 },
03631  },
03632  {
03633   { 5153746,9909285,1723747,-2777874,30523605,5516873,19480852,5230134,-23952439,-15175766 },
03634   { -30269007,-3463509,7665486,10083793,28475525,1649722,20654025,16520125,30598449,7715701 },
03635   { 28881845,14381568,9657904,3680757,-20181635,7843316,-31400660,1370708,29794553,-1409300 },
03636  },
03637  {
03638   { -22518993,-6692182,14201702,-8745502,-23510406,8844726,18474211,-1361450,-13062696,13821877 },
03639   { -6455177,-7839871,3374702,-4740862,-27098617,-10571707,31655028,-7212327,18853322,-14220951 },
03640   { 4566830,-12963868,-28974889,-12240689,-7602672,-2830569,-8514358,-10431137,2207753,-3209784 },
03641  },
03642  {
03643   { -25154831,-4185821,29681144,7868801,-6854661,-9423865,-12437364,-663000,-31111463,-16132436 },
03644   { 25576264,-2703214,7349804,-11814844,16472782,9300885,3844789,15725684,171356,6466918 },
03645   { 23103977,13316479,9739013,-16149481,817875,-15038942,8965339,-14088058,-30714912,16193877 },
03646  },
03647  {
03648   { -33521811,3180713,-2394130,14003687,-16903474,-16270840,17238398,4729455,-18074513,9256800 },
03649   { -25182317,-4174131,32336398,5036987,-21236817,11360617,22616405,9761698,-19827198,630305 },
03650   { -13720693,2639453,-24237460,-7406481,9494427,-5774029,-6554551,-15960994,-2449256,-14291300 },
03651  },
03652  {
03653   { -3151181,-5046075,9282714,6866145,-31907062,-863023,-18940575,15033784,25105118,-7894876 },
03654   { -24326370,15950226,-31801215,-14592823,-11662737,-5090925,1573892,-2625887,2198790,-15804619 },
03655   { -3099351,10324967,-2241613,7453183,-5446979,-2735503,-13812022,-16236442,-32461234,-12290683 },
03656  },
03657 } ;
03658 #endif
03659 
03660 
03661 /*
03662 r = a * A + b * B
03663 where a = a[0]+256*a[1]+...+256^31 a[31].
03664 and b = b[0]+256*b[1]+...+256^31 b[31].
03665 B is the Ed25519 base point (x,4/5) with x positive.
03666 */
03667 int ge_double_scalarmult_vartime(ge_p2 *r, const unsigned char *a,
03668                                  const ge_p3 *A, const unsigned char *b)
03669 {
03670   signed char aslide[256];
03671   signed char bslide[256];
03672   ge_cached Ai[8]; /* A,3A,5A,7A,9A,11A,13A,15A */
03673   ge_p1p1 t;
03674   ge_p3 u;
03675   ge_p3 A2;
03676   int i;
03677 
03678   slide(aslide,a);
03679   slide(bslide,b);
03680 
03681   ge_p3_to_cached(&Ai[0],A);
03682   ge_p3_dbl(&t,A); ge_p1p1_to_p3(&A2,&t);
03683   ge_add(&t,&A2,&Ai[0]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[1],&u);
03684   ge_add(&t,&A2,&Ai[1]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[2],&u);
03685   ge_add(&t,&A2,&Ai[2]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[3],&u);
03686   ge_add(&t,&A2,&Ai[3]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[4],&u);
03687   ge_add(&t,&A2,&Ai[4]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[5],&u);
03688   ge_add(&t,&A2,&Ai[5]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[6],&u);
03689   ge_add(&t,&A2,&Ai[6]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[7],&u);
03690 
03691   ge_p2_0(r);
03692 
03693   for (i = 255;i >= 0;--i) {
03694     if (aslide[i] || bslide[i]) break;
03695   }
03696 
03697   for (;i >= 0;--i) {
03698     ge_p2_dbl(&t,r);
03699 
03700     if (aslide[i] > 0) {
03701       ge_p1p1_to_p3(&u,&t);
03702       ge_add(&t,&u,&Ai[aslide[i]/2]);
03703     } else if (aslide[i] < 0) {
03704       ge_p1p1_to_p3(&u,&t);
03705       ge_sub(&t,&u,&Ai[(-aslide[i])/2]);
03706     }
03707 
03708     if (bslide[i] > 0) {
03709       ge_p1p1_to_p3(&u,&t);
03710       ge_madd(&t,&u,&Bi[bslide[i]/2]);
03711     } else if (bslide[i] < 0) {
03712       ge_p1p1_to_p3(&u,&t);
03713       ge_msub(&t,&u,&Bi[(-bslide[i])/2]);
03714     }
03715 
03716     ge_p1p1_to_p2(r,&t);
03717   }
03718 
03719   return 0;
03720 }
03721 
03722 #ifdef HAVE___UINT128_T
03723 static const fe d = {
03724     0x34dca135978a3, 0x1a8283b156ebd, 0x5e7a26001c029, 0x739c663a03cbb,
03725     0x52036cee2b6ff
03726 };
03727 #else
03728 static const fe d = {
03729 -10913610,13857413,-15372611,6949391,114729,
03730 -8787816,-6275908,-3247719,-18696448,-12055116
03731 } ;
03732 #endif
03733 
03734 
03735 #ifdef HAVE___UINT128_T
03736 static const fe sqrtm1 = {
03737     0x61b274a0ea0b0, 0x0d5a5fc8f189d, 0x7ef5e9cbd0c60, 0x78595a6804c9e,
03738     0x2b8324804fc1d
03739 };
03740 #else
03741 static const fe sqrtm1 = {
03742 -32595792,-7943725,9377950,3500415,12389472,
03743 -272473,-25146209,-2005654,326686,11406482
03744 } ;
03745 #endif
03746 
03747 
03748 int ge_frombytes_negate_vartime(ge_p3 *h,const unsigned char *s)
03749 {
03750   fe u;
03751   fe v;
03752   fe v3;
03753   fe vxx;
03754   fe check;
03755 
03756   fe_frombytes(h->Y,s);
03757   fe_1(h->Z);
03758   fe_sq(u,h->Y);
03759   fe_mul(v,u,d);
03760   fe_sub(u,u,h->Z);       /* u = y^2-1 */
03761   fe_add(v,v,h->Z);       /* v = dy^2+1 */
03762 
03763 
03764   fe_sq(v3,v);
03765   fe_mul(v3,v3,v);        /* v3 = v^3 */
03766   fe_sq(h->X,v3);
03767   fe_mul(h->X,h->X,v);
03768   fe_mul(h->X,h->X,u);    /* x = uv^7 */
03769 
03770   fe_pow22523(h->X,h->X); /* x = (uv^7)^((q-5)/8) */
03771   fe_mul(h->X,h->X,v3);
03772   fe_mul(h->X,h->X,u);    /* x = uv^3(uv^7)^((q-5)/8) */
03773 
03774   fe_sq(vxx,h->X);
03775   fe_mul(vxx,vxx,v);
03776   fe_sub(check,vxx,u);    /* vx^2-u */
03777   if (fe_isnonzero(check)) {
03778     fe_add(check,vxx,u);  /* vx^2+u */
03779     if (fe_isnonzero(check)) return -1;
03780     fe_mul(h->X,h->X,sqrtm1);
03781   }
03782 
03783   if (fe_isnegative(h->X) == (s[31] >> 7))
03784     fe_neg(h->X,h->X);
03785 
03786   fe_mul(h->T,h->X,h->Y);
03787   return 0;
03788 }
03789 
03790 
03791 /* ge madd */
03792 /*
03793 r = p + q
03794 */
03795 
03796 void ge_madd(ge_p1p1 *r,const ge_p3 *p,const ge_precomp *q)
03797 {
03798     fe t0;
03799     fe_add(r->X,p->Y,p->X);
03800     fe_sub(r->Y,p->Y,p->X);
03801     fe_mul(r->Z,r->X,q->yplusx);
03802     fe_mul(r->Y,r->Y,q->yminusx);
03803     fe_mul(r->T,q->xy2d,p->T);
03804     fe_add(t0,p->Z,p->Z);
03805     fe_sub(r->X,r->Z,r->Y);
03806     fe_add(r->Y,r->Z,r->Y);
03807     fe_add(r->Z,t0,r->T);
03808     fe_sub(r->T,t0,r->T);
03809 }
03810 
03811 
03812 /* ge msub */
03813 
03814 /*
03815 r = p - q
03816 */
03817 
03818 void ge_msub(ge_p1p1 *r,const ge_p3 *p,const ge_precomp *q)
03819 {
03820     fe t0;
03821     fe_add(r->X,p->Y,p->X);
03822     fe_sub(r->Y,p->Y,p->X);
03823     fe_mul(r->Z,r->X,q->yminusx);
03824     fe_mul(r->Y,r->Y,q->yplusx);
03825     fe_mul(r->T,q->xy2d,p->T);
03826     fe_add(t0,p->Z,p->Z);
03827     fe_sub(r->X,r->Z,r->Y);
03828     fe_add(r->Y,r->Z,r->Y);
03829     fe_sub(r->Z,t0,r->T);
03830     fe_add(r->T,t0,r->T);
03831 }
03832 
03833 
03834 /* ge p1p1 to p2 */
03835 /*
03836 r = p
03837 */
03838 
03839 extern void ge_p1p1_to_p2(ge_p2 *r,const ge_p1p1 *p)
03840 {
03841   fe_mul(r->X,p->X,p->T);
03842   fe_mul(r->Y,p->Y,p->Z);
03843   fe_mul(r->Z,p->Z,p->T);
03844 }
03845 
03846 
03847 /* ge p1p1 to p3 */
03848 
03849 /*
03850 r = p
03851 */
03852 
03853 extern void ge_p1p1_to_p3(ge_p3 *r,const ge_p1p1 *p)
03854 {
03855   fe_mul(r->X,p->X,p->T);
03856   fe_mul(r->Y,p->Y,p->Z);
03857   fe_mul(r->Z,p->Z,p->T);
03858   fe_mul(r->T,p->X,p->Y);
03859 }
03860 
03861 
03862 /* ge p2 0 */
03863 
03864 void ge_p2_0(ge_p2 *h)
03865 {
03866   fe_0(h->X);
03867   fe_1(h->Y);
03868   fe_1(h->Z);
03869 }
03870 
03871 
03872 /* ge p2 dbl */
03873 
03874 /*
03875 r = 2 * p
03876 */
03877 
03878 void ge_p2_dbl(ge_p1p1 *r,const ge_p2 *p)
03879 {
03880     fe t0;
03881     fe_sq(r->X,p->X);
03882     fe_sq(r->Z,p->Y);
03883     fe_sq2(r->T,p->Z);
03884     fe_add(r->Y,p->X,p->Y);
03885     fe_sq(t0,r->Y);
03886     fe_add(r->Y,r->Z,r->X);
03887     fe_sub(r->Z,r->Z,r->X);
03888     fe_sub(r->X,t0,r->Y);
03889     fe_sub(r->T,r->T,r->Z);
03890 }
03891 
03892 
03893 /* ge p3 0 */
03894 
03895 void ge_p3_0(ge_p3 *h)
03896 {
03897   fe_0(h->X);
03898   fe_1(h->Y);
03899   fe_1(h->Z);
03900   fe_0(h->T);
03901 }
03902 
03903 
03904 /* ge p3 dble */
03905 
03906 /*
03907 r = 2 * p
03908 */
03909 
03910 void ge_p3_dbl(ge_p1p1 *r,const ge_p3 *p)
03911 {
03912   ge_p2 q;
03913   ge_p3_to_p2(&q,p);
03914   ge_p2_dbl(r,&q);
03915 }
03916 
03917 
03918 /* ge p3 to cached */
03919 
03920 /*
03921 r = p
03922 */
03923 
03924 #ifdef HAVE___UINT128_T
03925 static const fe d2 = {
03926     0x69b9426b2f159, 0x35050762add7a, 0x3cf44c0038052, 0x6738cc7407977,
03927     0x2406d9dc56dff
03928 };
03929 #else
03930 static const fe d2 = {
03931 -21827239,-5839606,-30745221,13898782,229458,
03932 15978800,-12551817,-6495438,29715968,9444199
03933 } ;
03934 #endif
03935 
03936 
03937 extern void ge_p3_to_cached(ge_cached *r,const ge_p3 *p)
03938 {
03939   fe_add(r->YplusX,p->Y,p->X);
03940   fe_sub(r->YminusX,p->Y,p->X);
03941   fe_copy(r->Z,p->Z);
03942   fe_mul(r->T2d,p->T,d2);
03943 }
03944 
03945 
03946 /* ge p3 to p2 */
03947 /*
03948 r = p
03949 */
03950 
03951 extern void ge_p3_to_p2(ge_p2 *r,const ge_p3 *p)
03952 {
03953   fe_copy(r->X,p->X);
03954   fe_copy(r->Y,p->Y);
03955   fe_copy(r->Z,p->Z);
03956 }
03957 
03958 
03959 /* ge p3 tobytes */
03960 void ge_p3_tobytes(unsigned char *s,const ge_p3 *h)
03961 {
03962   fe recip;
03963   fe x;
03964   fe y;
03965 
03966   fe_invert(recip,h->Z);
03967   fe_mul(x,h->X,recip);
03968   fe_mul(y,h->Y,recip);
03969   fe_tobytes(s,y);
03970   s[31] ^= fe_isnegative(x) << 7;
03971 }
03972 
03973 
03974 /* ge_precomp_0 */
03975 void ge_precomp_0(ge_precomp *h)
03976 {
03977   fe_1(h->yplusx);
03978   fe_1(h->yminusx);
03979   fe_0(h->xy2d);
03980 }
03981 
03982 
03983 /* ge_sub */
03984 /*
03985 r = p - q
03986 */
03987 
03988 void ge_sub(ge_p1p1 *r,const ge_p3 *p,const ge_cached *q)
03989 {
03990     fe t0;
03991     fe_add(r->X,p->Y,p->X);
03992     fe_sub(r->Y,p->Y,p->X);
03993     fe_mul(r->Z,r->X,q->YminusX);
03994     fe_mul(r->Y,r->Y,q->YplusX);
03995     fe_mul(r->T,q->T2d,p->T);
03996     fe_mul(r->X,p->Z,q->Z);
03997     fe_add(t0,r->X,r->X);
03998     fe_sub(r->X,r->Z,r->Y);
03999     fe_add(r->Y,r->Z,r->Y);
04000     fe_sub(r->Z,t0,r->T);
04001     fe_add(r->T,t0,r->T);
04002 }
04003 
04004 
04005 /* ge tobytes */
04006 void ge_tobytes(unsigned char *s,const ge_p2 *h)
04007 {
04008   fe recip;
04009   fe x;
04010   fe y;
04011 
04012   fe_invert(recip,h->Z);
04013   fe_mul(x,h->X,recip);
04014   fe_mul(y,h->Y,recip);
04015   fe_tobytes(s,y);
04016   s[31] ^= fe_isnegative(x) << 7;
04017 }
04018 #endif /* HAVE_ED25519 */
04019 #endif /* not defined CURVED25519_SMALL */
04020 
04021