Pull in all the parts. Let's face the facts -- .PATH from other

parts of the tree is PAINFUL for basically everyone upstream, not
just for us in our own tree.

diff --git a/usr.bin/signify/Makefile b/usr.bin/signify/Makefile
index 4319939..09c3075 100644 (file)
--- a/usr.bin/signify/Makefile
+++ b/usr.bin/signify/Makefile
@@ -1,7 +1,4 @@
-#      $OpenBSD: Makefile,v 1.9 2014/01/13 01:41:00 tedu Exp $
-
-.PATH: ${.CURDIR}/../ssh
-CPPFLAGS += -I${.CURDIR}/../ssh
+#      $OpenBSD: Makefile,v 1.10 2014/07/22 00:41:19 deraadt Exp $
 
 SRCS=  signify.c
 SRCS+= fe25519.c sc25519.c smult_curve25519_ref.c

diff --git a/usr.bin/signify/crypto_api.h b/usr.bin/signify/crypto_api.h
new file mode 100644 (file)
index 0000000..d7b0a2e
--- /dev/null
+++ b/usr.bin/signify/crypto_api.h
@@ -0,0 +1,42 @@
+/* $OpenBSD: crypto_api.h,v 1.1 2014/07/22 00:41:19 deraadt Exp $ */
+
+/*
+ * Assembled from generated headers and source files by Markus Friedl.
+ * Placed in the public domain.
+ */
+
+#ifndef crypto_api_h
+#define crypto_api_h
+
+#include <stdint.h>
+#include <stdlib.h>
+
+typedef int32_t crypto_int32;
+typedef uint32_t crypto_uint32;
+
+#define randombytes(buf, buf_len) arc4random_buf((buf), (buf_len))
+
+#define crypto_hashblocks_sha512_STATEBYTES 64U
+#define crypto_hashblocks_sha512_BLOCKBYTES 128U
+
+int    crypto_hashblocks_sha512(unsigned char *, const unsigned char *,
+     unsigned long long);
+
+#define crypto_hash_sha512_BYTES 64U
+
+int    crypto_hash_sha512(unsigned char *, const unsigned char *,
+    unsigned long long);
+
+int    crypto_verify_32(const unsigned char *, const unsigned char *);
+
+#define crypto_sign_ed25519_SECRETKEYBYTES 64U
+#define crypto_sign_ed25519_PUBLICKEYBYTES 32U
+#define crypto_sign_ed25519_BYTES 64U
+
+int    crypto_sign_ed25519(unsigned char *, unsigned long long *,
+    const unsigned char *, unsigned long long, const unsigned char *);
+int    crypto_sign_ed25519_open(unsigned char *, unsigned long long *,
+    const unsigned char *, unsigned long long, const unsigned char *);
+int    crypto_sign_ed25519_keypair(unsigned char *, unsigned char *);
+
+#endif /* crypto_api_h */

diff --git a/usr.bin/signify/fe25519.c b/usr.bin/signify/fe25519.c
new file mode 100644 (file)
index 0000000..5a6b77d
--- /dev/null
+++ b/usr.bin/signify/fe25519.c
@@ -0,0 +1,335 @@
+/* $OpenBSD: fe25519.c,v 1.1 2014/07/22 00:41:19 deraadt Exp $ */
+
+/*
+ * Public Domain, Authors: Daniel J. Bernstein, Niels Duif, Tanja Lange,
+ * Peter Schwabe, Bo-Yin Yang.
+ * Copied from supercop-20130419/crypto_sign/ed25519/ref/fe25519.c
+ */
+
+#define WINDOWSIZE 1 /* Should be 1,2, or 4 */
+#define WINDOWMASK ((1<<WINDOWSIZE)-1)
+
+#include "fe25519.h"
+
+static crypto_uint32 equal(crypto_uint32 a,crypto_uint32 b) /* 16-bit inputs */
+{
+  crypto_uint32 x = a ^ b; /* 0: yes; 1..65535: no */
+  x -= 1; /* 4294967295: yes; 0..65534: no */
+  x >>= 31; /* 1: yes; 0: no */
+  return x;
+}
+
+static crypto_uint32 ge(crypto_uint32 a,crypto_uint32 b) /* 16-bit inputs */
+{
+  unsigned int x = a;
+  x -= (unsigned int) b; /* 0..65535: yes; 4294901761..4294967295: no */
+  x >>= 31; /* 0: yes; 1: no */
+  x ^= 1; /* 1: yes; 0: no */
+  return x;
+}
+
+static crypto_uint32 times19(crypto_uint32 a)
+{
+  return (a << 4) + (a << 1) + a;
+}
+
+static crypto_uint32 times38(crypto_uint32 a)
+{
+  return (a << 5) + (a << 2) + (a << 1);
+}
+
+static void reduce_add_sub(fe25519 *r)
+{
+  crypto_uint32 t;
+  int i,rep;
+
+  for(rep=0;rep<4;rep++)
+  {
+    t = r->v[31] >> 7;
+    r->v[31] &= 127;
+    t = times19(t);
+    r->v[0] += t;
+    for(i=0;i<31;i++)
+    {
+      t = r->v[i] >> 8;
+      r->v[i+1] += t;
+      r->v[i] &= 255;
+    }
+  }
+}
+
+static void reduce_mul(fe25519 *r)
+{
+  crypto_uint32 t;
+  int i,rep;
+
+  for(rep=0;rep<2;rep++)
+  {
+    t = r->v[31] >> 7;
+    r->v[31] &= 127;
+    t = times19(t);
+    r->v[0] += t;
+    for(i=0;i<31;i++)
+    {
+      t = r->v[i] >> 8;
+      r->v[i+1] += t;
+      r->v[i] &= 255;
+    }
+  }
+}
+
+/* reduction modulo 2^255-19 */
+void fe25519_freeze(fe25519 *r) 
+{
+  int i;
+  crypto_uint32 m = equal(r->v[31],127);
+  for(i=30;i>0;i--)
+    m &= equal(r->v[i],255);
+  m &= ge(r->v[0],237);
+
+  m = -m;
+
+  r->v[31] -= m&127;
+  for(i=30;i>0;i--)
+    r->v[i] -= m&255;
+  r->v[0] -= m&237;
+}
+
+void fe25519_unpack(fe25519 *r, const unsigned char x[32])
+{
+  int i;
+  for(i=0;i<32;i++) r->v[i] = x[i];
+  r->v[31] &= 127;
+}
+
+/* Assumes input x being reduced below 2^255 */
+void fe25519_pack(unsigned char r[32], const fe25519 *x)
+{
+  int i;
+  fe25519 y = *x;
+  fe25519_freeze(&y);
+  for(i=0;i<32;i++) 
+    r[i] = y.v[i];
+}
+
+int fe25519_iszero(const fe25519 *x)
+{
+  int i;
+  int r;
+  fe25519 t = *x;
+  fe25519_freeze(&t);
+  r = equal(t.v[0],0);
+  for(i=1;i<32;i++) 
+    r &= equal(t.v[i],0);
+  return r;
+}
+
+int fe25519_iseq_vartime(const fe25519 *x, const fe25519 *y)
+{
+  int i;
+  fe25519 t1 = *x;
+  fe25519 t2 = *y;
+  fe25519_freeze(&t1);
+  fe25519_freeze(&t2);
+  for(i=0;i<32;i++)
+    if(t1.v[i] != t2.v[i]) return 0;
+  return 1;
+}
+
+void fe25519_cmov(fe25519 *r, const fe25519 *x, unsigned char b)
+{
+  int i;
+  crypto_uint32 mask = b;
+  mask = -mask;
+  for(i=0;i<32;i++) r->v[i] ^= mask & (x->v[i] ^ r->v[i]);
+}
+
+unsigned char fe25519_getparity(const fe25519 *x)
+{
+  fe25519 t = *x;
+  fe25519_freeze(&t);
+  return t.v[0] & 1;
+}
+
+void fe25519_setone(fe25519 *r)
+{
+  int i;
+  r->v[0] = 1;
+  for(i=1;i<32;i++) r->v[i]=0;
+}
+
+void fe25519_setzero(fe25519 *r)
+{
+  int i;
+  for(i=0;i<32;i++) r->v[i]=0;
+}
+
+void fe25519_neg(fe25519 *r, const fe25519 *x)
+{
+  fe25519 t;
+  int i;
+  for(i=0;i<32;i++) t.v[i]=x->v[i];
+  fe25519_setzero(r);
+  fe25519_sub(r, r, &t);
+}
+
+void fe25519_add(fe25519 *r, const fe25519 *x, const fe25519 *y)
+{
+  int i;
+  for(i=0;i<32;i++) r->v[i] = x->v[i] + y->v[i];
+  reduce_add_sub(r);
+}
+
+void fe25519_sub(fe25519 *r, const fe25519 *x, const fe25519 *y)
+{
+  int i;
+  crypto_uint32 t[32];
+  t[0] = x->v[0] + 0x1da;
+  t[31] = x->v[31] + 0xfe;
+  for(i=1;i<31;i++) t[i] = x->v[i] + 0x1fe;
+  for(i=0;i<32;i++) r->v[i] = t[i] - y->v[i];
+  reduce_add_sub(r);
+}
+
+void fe25519_mul(fe25519 *r, const fe25519 *x, const fe25519 *y)
+{
+  int i,j;
+  crypto_uint32 t[63];
+  for(i=0;i<63;i++)t[i] = 0;
+
+  for(i=0;i<32;i++)
+    for(j=0;j<32;j++)
+      t[i+j] += x->v[i] * y->v[j];
+
+  for(i=32;i<63;i++)
+    r->v[i-32] = t[i-32] + times38(t[i]); 
+  r->v[31] = t[31]; /* result now in r[0]...r[31] */
+
+  reduce_mul(r);
+}
+
+void fe25519_square(fe25519 *r, const fe25519 *x)
+{
+  fe25519_mul(r, x, x);
+}
+
+void fe25519_invert(fe25519 *r, const fe25519 *x)
+{
+       fe25519 z2;
+       fe25519 z9;
+       fe25519 z11;
+       fe25519 z2_5_0;
+       fe25519 z2_10_0;
+       fe25519 z2_20_0;
+       fe25519 z2_50_0;
+       fe25519 z2_100_0;
+       fe25519 t0;
+       fe25519 t1;
+       int i;
+       
+       /* 2 */ fe25519_square(&z2,x);
+       /* 4 */ fe25519_square(&t1,&z2);
+       /* 8 */ fe25519_square(&t0,&t1);
+       /* 9 */ fe25519_mul(&z9,&t0,x);
+       /* 11 */ fe25519_mul(&z11,&z9,&z2);
+       /* 22 */ fe25519_square(&t0,&z11);
+       /* 2^5 - 2^0 = 31 */ fe25519_mul(&z2_5_0,&t0,&z9);
+
+       /* 2^6 - 2^1 */ fe25519_square(&t0,&z2_5_0);
+       /* 2^7 - 2^2 */ fe25519_square(&t1,&t0);
+       /* 2^8 - 2^3 */ fe25519_square(&t0,&t1);
+       /* 2^9 - 2^4 */ fe25519_square(&t1,&t0);
+       /* 2^10 - 2^5 */ fe25519_square(&t0,&t1);
+       /* 2^10 - 2^0 */ fe25519_mul(&z2_10_0,&t0,&z2_5_0);
+
+       /* 2^11 - 2^1 */ fe25519_square(&t0,&z2_10_0);
+       /* 2^12 - 2^2 */ fe25519_square(&t1,&t0);
+       /* 2^20 - 2^10 */ for (i = 2;i < 10;i += 2) { fe25519_square(&t0,&t1); fe25519_square(&t1,&t0); }
+       /* 2^20 - 2^0 */ fe25519_mul(&z2_20_0,&t1,&z2_10_0);
+
+       /* 2^21 - 2^1 */ fe25519_square(&t0,&z2_20_0);
+       /* 2^22 - 2^2 */ fe25519_square(&t1,&t0);
+       /* 2^40 - 2^20 */ for (i = 2;i < 20;i += 2) { fe25519_square(&t0,&t1); fe25519_square(&t1,&t0); }
+       /* 2^40 - 2^0 */ fe25519_mul(&t0,&t1,&z2_20_0);
+
+       /* 2^41 - 2^1 */ fe25519_square(&t1,&t0);
+       /* 2^42 - 2^2 */ fe25519_square(&t0,&t1);
+       /* 2^50 - 2^10 */ for (i = 2;i < 10;i += 2) { fe25519_square(&t1,&t0); fe25519_square(&t0,&t1); }
+       /* 2^50 - 2^0 */ fe25519_mul(&z2_50_0,&t0,&z2_10_0);
+
+       /* 2^51 - 2^1 */ fe25519_square(&t0,&z2_50_0);
+       /* 2^52 - 2^2 */ fe25519_square(&t1,&t0);
+       /* 2^100 - 2^50 */ for (i = 2;i < 50;i += 2) { fe25519_square(&t0,&t1); fe25519_square(&t1,&t0); }
+       /* 2^100 - 2^0 */ fe25519_mul(&z2_100_0,&t1,&z2_50_0);
+
+       /* 2^101 - 2^1 */ fe25519_square(&t1,&z2_100_0);
+       /* 2^102 - 2^2 */ fe25519_square(&t0,&t1);
+       /* 2^200 - 2^100 */ for (i = 2;i < 100;i += 2) { fe25519_square(&t1,&t0); fe25519_square(&t0,&t1); }
+       /* 2^200 - 2^0 */ fe25519_mul(&t1,&t0,&z2_100_0);
+
+       /* 2^201 - 2^1 */ fe25519_square(&t0,&t1);
+       /* 2^202 - 2^2 */ fe25519_square(&t1,&t0);
+       /* 2^250 - 2^50 */ for (i = 2;i < 50;i += 2) { fe25519_square(&t0,&t1); fe25519_square(&t1,&t0); }
+       /* 2^250 - 2^0 */ fe25519_mul(&t0,&t1,&z2_50_0);
+
+       /* 2^251 - 2^1 */ fe25519_square(&t1,&t0);
+       /* 2^252 - 2^2 */ fe25519_square(&t0,&t1);
+       /* 2^253 - 2^3 */ fe25519_square(&t1,&t0);
+       /* 2^254 - 2^4 */ fe25519_square(&t0,&t1);
+       /* 2^255 - 2^5 */ fe25519_square(&t1,&t0);
+       /* 2^255 - 21 */ fe25519_mul(r,&t1,&z11);
+}
+
+void fe25519_pow2523(fe25519 *r, const fe25519 *x)
+{
+       fe25519 z2;
+       fe25519 z9;
+       fe25519 z11;
+       fe25519 z2_5_0;
+       fe25519 z2_10_0;
+       fe25519 z2_20_0;
+       fe25519 z2_50_0;
+       fe25519 z2_100_0;
+       fe25519 t;
+       int i;
+               
+       /* 2 */ fe25519_square(&z2,x);
+       /* 4 */ fe25519_square(&t,&z2);
+       /* 8 */ fe25519_square(&t,&t);
+       /* 9 */ fe25519_mul(&z9,&t,x);
+       /* 11 */ fe25519_mul(&z11,&z9,&z2);
+       /* 22 */ fe25519_square(&t,&z11);
+       /* 2^5 - 2^0 = 31 */ fe25519_mul(&z2_5_0,&t,&z9);
+
+       /* 2^6 - 2^1 */ fe25519_square(&t,&z2_5_0);
+       /* 2^10 - 2^5 */ for (i = 1;i < 5;i++) { fe25519_square(&t,&t); }
+       /* 2^10 - 2^0 */ fe25519_mul(&z2_10_0,&t,&z2_5_0);
+
+       /* 2^11 - 2^1 */ fe25519_square(&t,&z2_10_0);
+       /* 2^20 - 2^10 */ for (i = 1;i < 10;i++) { fe25519_square(&t,&t); }
+       /* 2^20 - 2^0 */ fe25519_mul(&z2_20_0,&t,&z2_10_0);
+
+       /* 2^21 - 2^1 */ fe25519_square(&t,&z2_20_0);
+       /* 2^40 - 2^20 */ for (i = 1;i < 20;i++) { fe25519_square(&t,&t); }
+       /* 2^40 - 2^0 */ fe25519_mul(&t,&t,&z2_20_0);
+
+       /* 2^41 - 2^1 */ fe25519_square(&t,&t);
+       /* 2^50 - 2^10 */ for (i = 1;i < 10;i++) { fe25519_square(&t,&t); }
+       /* 2^50 - 2^0 */ fe25519_mul(&z2_50_0,&t,&z2_10_0);
+
+       /* 2^51 - 2^1 */ fe25519_square(&t,&z2_50_0);
+       /* 2^100 - 2^50 */ for (i = 1;i < 50;i++) { fe25519_square(&t,&t); }
+       /* 2^100 - 2^0 */ fe25519_mul(&z2_100_0,&t,&z2_50_0);
+
+       /* 2^101 - 2^1 */ fe25519_square(&t,&z2_100_0);
+       /* 2^200 - 2^100 */ for (i = 1;i < 100;i++) { fe25519_square(&t,&t); }
+       /* 2^200 - 2^0 */ fe25519_mul(&t,&t,&z2_100_0);
+
+       /* 2^201 - 2^1 */ fe25519_square(&t,&t);
+       /* 2^250 - 2^50 */ for (i = 1;i < 50;i++) { fe25519_square(&t,&t); }
+       /* 2^250 - 2^0 */ fe25519_mul(&t,&t,&z2_50_0);
+
+       /* 2^251 - 2^1 */ fe25519_square(&t,&t);
+       /* 2^252 - 2^2 */ fe25519_square(&t,&t);
+       /* 2^252 - 3 */ fe25519_mul(r,&t,x);
+}

diff --git a/usr.bin/signify/fe25519.h b/usr.bin/signify/fe25519.h
new file mode 100644 (file)
index 0000000..b2852aa
--- /dev/null
+++ b/usr.bin/signify/fe25519.h
@@ -0,0 +1,70 @@
+/* $OpenBSD: fe25519.h,v 1.1 2014/07/22 00:41:19 deraadt Exp $ */
+
+/*
+ * Public Domain, Authors: Daniel J. Bernstein, Niels Duif, Tanja Lange,
+ * Peter Schwabe, Bo-Yin Yang.
+ * Copied from supercop-20130419/crypto_sign/ed25519/ref/fe25519.h
+ */
+
+#ifndef FE25519_H
+#define FE25519_H
+
+#include "crypto_api.h"
+
+#define fe25519              crypto_sign_ed25519_ref_fe25519
+#define fe25519_freeze       crypto_sign_ed25519_ref_fe25519_freeze
+#define fe25519_unpack       crypto_sign_ed25519_ref_fe25519_unpack
+#define fe25519_pack         crypto_sign_ed25519_ref_fe25519_pack
+#define fe25519_iszero       crypto_sign_ed25519_ref_fe25519_iszero
+#define fe25519_iseq_vartime crypto_sign_ed25519_ref_fe25519_iseq_vartime
+#define fe25519_cmov         crypto_sign_ed25519_ref_fe25519_cmov
+#define fe25519_setone       crypto_sign_ed25519_ref_fe25519_setone
+#define fe25519_setzero      crypto_sign_ed25519_ref_fe25519_setzero
+#define fe25519_neg          crypto_sign_ed25519_ref_fe25519_neg
+#define fe25519_getparity    crypto_sign_ed25519_ref_fe25519_getparity
+#define fe25519_add          crypto_sign_ed25519_ref_fe25519_add
+#define fe25519_sub          crypto_sign_ed25519_ref_fe25519_sub
+#define fe25519_mul          crypto_sign_ed25519_ref_fe25519_mul
+#define fe25519_square       crypto_sign_ed25519_ref_fe25519_square
+#define fe25519_invert       crypto_sign_ed25519_ref_fe25519_invert
+#define fe25519_pow2523      crypto_sign_ed25519_ref_fe25519_pow2523
+
+typedef struct 
+{
+  crypto_uint32 v[32]; 
+}
+fe25519;
+
+void fe25519_freeze(fe25519 *r);
+
+void fe25519_unpack(fe25519 *r, const unsigned char x[32]);
+
+void fe25519_pack(unsigned char r[32], const fe25519 *x);
+
+int fe25519_iszero(const fe25519 *x);
+
+int fe25519_iseq_vartime(const fe25519 *x, const fe25519 *y);
+
+void fe25519_cmov(fe25519 *r, const fe25519 *x, unsigned char b);
+
+void fe25519_setone(fe25519 *r);
+
+void fe25519_setzero(fe25519 *r);
+
+void fe25519_neg(fe25519 *r, const fe25519 *x);
+
+unsigned char fe25519_getparity(const fe25519 *x);
+
+void fe25519_add(fe25519 *r, const fe25519 *x, const fe25519 *y);
+
+void fe25519_sub(fe25519 *r, const fe25519 *x, const fe25519 *y);
+
+void fe25519_mul(fe25519 *r, const fe25519 *x, const fe25519 *y);
+
+void fe25519_square(fe25519 *r, const fe25519 *x);
+
+void fe25519_invert(fe25519 *r, const fe25519 *x);
+
+void fe25519_pow2523(fe25519 *r, const fe25519 *x);
+
+#endif

diff --git a/usr.bin/signify/ge25519.c b/usr.bin/signify/ge25519.c
new file mode 100644 (file)
index 0000000..9ff085b
--- /dev/null
+++ b/usr.bin/signify/ge25519.c
@@ -0,0 +1,319 @@
+/* $OpenBSD: ge25519.c,v 1.1 2014/07/22 00:41:19 deraadt Exp $ */
+
+/*
+ * Public Domain, Authors: Daniel J. Bernstein, Niels Duif, Tanja Lange,
+ * Peter Schwabe, Bo-Yin Yang.
+ * Copied from supercop-20130419/crypto_sign/ed25519/ref/ge25519.c
+ */
+
+#include "fe25519.h"
+#include "sc25519.h"
+#include "ge25519.h"
+
+/* 
+ * Arithmetic on the twisted Edwards curve -x^2 + y^2 = 1 + dx^2y^2 
+ * with d = -(121665/121666) = 37095705934669439343138083508754565189542113879843219016388785533085940283555
+ * Base point: (15112221349535400772501151409588531511454012693041857206046113283949847762202,46316835694926478169428394003475163141307993866256225615783033603165251855960);
+ */
+
+/* d */
+static const fe25519 ge25519_ecd = {{0xA3, 0x78, 0x59, 0x13, 0xCA, 0x4D, 0xEB, 0x75, 0xAB, 0xD8, 0x41, 0x41, 0x4D, 0x0A, 0x70, 0x00, 
+                      0x98, 0xE8, 0x79, 0x77, 0x79, 0x40, 0xC7, 0x8C, 0x73, 0xFE, 0x6F, 0x2B, 0xEE, 0x6C, 0x03, 0x52}};
+/* 2*d */
+static const fe25519 ge25519_ec2d = {{0x59, 0xF1, 0xB2, 0x26, 0x94, 0x9B, 0xD6, 0xEB, 0x56, 0xB1, 0x83, 0x82, 0x9A, 0x14, 0xE0, 0x00, 
+                       0x30, 0xD1, 0xF3, 0xEE, 0xF2, 0x80, 0x8E, 0x19, 0xE7, 0xFC, 0xDF, 0x56, 0xDC, 0xD9, 0x06, 0x24}};
+/* sqrt(-1) */
+static const fe25519 ge25519_sqrtm1 = {{0xB0, 0xA0, 0x0E, 0x4A, 0x27, 0x1B, 0xEE, 0xC4, 0x78, 0xE4, 0x2F, 0xAD, 0x06, 0x18, 0x43, 0x2F, 
+                         0xA7, 0xD7, 0xFB, 0x3D, 0x99, 0x00, 0x4D, 0x2B, 0x0B, 0xDF, 0xC1, 0x4F, 0x80, 0x24, 0x83, 0x2B}};
+
+#define ge25519_p3 ge25519
+
+typedef struct
+{
+  fe25519 x;
+  fe25519 z;
+  fe25519 y;
+  fe25519 t;
+} ge25519_p1p1;
+
+typedef struct
+{
+  fe25519 x;
+  fe25519 y;
+  fe25519 z;
+} ge25519_p2;
+
+typedef struct
+{
+  fe25519 x;
+  fe25519 y;
+} ge25519_aff;
+
+
+/* Packed coordinates of the base point */
+const ge25519 ge25519_base = {{{0x1A, 0xD5, 0x25, 0x8F, 0x60, 0x2D, 0x56, 0xC9, 0xB2, 0xA7, 0x25, 0x95, 0x60, 0xC7, 0x2C, 0x69, 
+                                0x5C, 0xDC, 0xD6, 0xFD, 0x31, 0xE2, 0xA4, 0xC0, 0xFE, 0x53, 0x6E, 0xCD, 0xD3, 0x36, 0x69, 0x21}},
+                              {{0x58, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 
+                                0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66}},
+                              {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 
+                                0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
+                              {{0xA3, 0xDD, 0xB7, 0xA5, 0xB3, 0x8A, 0xDE, 0x6D, 0xF5, 0x52, 0x51, 0x77, 0x80, 0x9F, 0xF0, 0x20, 
+                                0x7D, 0xE3, 0xAB, 0x64, 0x8E, 0x4E, 0xEA, 0x66, 0x65, 0x76, 0x8B, 0xD7, 0x0F, 0x5F, 0x87, 0x67}}};
+
+/* Multiples of the base point in affine representation */
+static const ge25519_aff ge25519_base_multiples_affine[425] = {
+#include "ge25519_base.data"
+};
+
+static void p1p1_to_p2(ge25519_p2 *r, const ge25519_p1p1 *p)
+{
+  fe25519_mul(&r->x, &p->x, &p->t);
+  fe25519_mul(&r->y, &p->y, &p->z);
+  fe25519_mul(&r->z, &p->z, &p->t);
+}
+
+static void p1p1_to_p3(ge25519_p3 *r, const ge25519_p1p1 *p)
+{
+  p1p1_to_p2((ge25519_p2 *)r, p);
+  fe25519_mul(&r->t, &p->x, &p->y);
+}
+
+static void ge25519_mixadd2(ge25519_p3 *r, const ge25519_aff *q)
+{
+  fe25519 a,b,t1,t2,c,d,e,f,g,h,qt;
+  fe25519_mul(&qt, &q->x, &q->y);
+  fe25519_sub(&a, &r->y, &r->x); /* A = (Y1-X1)*(Y2-X2) */
+  fe25519_add(&b, &r->y, &r->x); /* B = (Y1+X1)*(Y2+X2) */
+  fe25519_sub(&t1, &q->y, &q->x);
+  fe25519_add(&t2, &q->y, &q->x);
+  fe25519_mul(&a, &a, &t1);
+  fe25519_mul(&b, &b, &t2);
+  fe25519_sub(&e, &b, &a); /* E = B-A */
+  fe25519_add(&h, &b, &a); /* H = B+A */
+  fe25519_mul(&c, &r->t, &qt); /* C = T1*k*T2 */
+  fe25519_mul(&c, &c, &ge25519_ec2d);
+  fe25519_add(&d, &r->z, &r->z); /* D = Z1*2 */
+  fe25519_sub(&f, &d, &c); /* F = D-C */
+  fe25519_add(&g, &d, &c); /* G = D+C */
+  fe25519_mul(&r->x, &e, &f);
+  fe25519_mul(&r->y, &h, &g);
+  fe25519_mul(&r->z, &g, &f);
+  fe25519_mul(&r->t, &e, &h);
+}
+
+static void add_p1p1(ge25519_p1p1 *r, const ge25519_p3 *p, const ge25519_p3 *q)
+{
+  fe25519 a, b, c, d, t;
+  
+  fe25519_sub(&a, &p->y, &p->x); /* A = (Y1-X1)*(Y2-X2) */
+  fe25519_sub(&t, &q->y, &q->x);
+  fe25519_mul(&a, &a, &t);
+  fe25519_add(&b, &p->x, &p->y); /* B = (Y1+X1)*(Y2+X2) */
+  fe25519_add(&t, &q->x, &q->y);
+  fe25519_mul(&b, &b, &t);
+  fe25519_mul(&c, &p->t, &q->t); /* C = T1*k*T2 */
+  fe25519_mul(&c, &c, &ge25519_ec2d);
+  fe25519_mul(&d, &p->z, &q->z); /* D = Z1*2*Z2 */
+  fe25519_add(&d, &d, &d);
+  fe25519_sub(&r->x, &b, &a); /* E = B-A */
+  fe25519_sub(&r->t, &d, &c); /* F = D-C */
+  fe25519_add(&r->z, &d, &c); /* G = D+C */
+  fe25519_add(&r->y, &b, &a); /* H = B+A */
+}
+
+/* See http://www.hyperelliptic.org/EFD/g1p/auto-twisted-extended-1.html#doubling-dbl-2008-hwcd */
+static void dbl_p1p1(ge25519_p1p1 *r, const ge25519_p2 *p)
+{
+  fe25519 a,b,c,d;
+  fe25519_square(&a, &p->x);
+  fe25519_square(&b, &p->y);
+  fe25519_square(&c, &p->z);
+  fe25519_add(&c, &c, &c);
+  fe25519_neg(&d, &a);
+
+  fe25519_add(&r->x, &p->x, &p->y);
+  fe25519_square(&r->x, &r->x);
+  fe25519_sub(&r->x, &r->x, &a);
+  fe25519_sub(&r->x, &r->x, &b);
+  fe25519_add(&r->z, &d, &b);
+  fe25519_sub(&r->t, &r->z, &c);
+  fe25519_sub(&r->y, &d, &b);
+}
+
+/* Constant-time version of: if(b) r = p */
+static void cmov_aff(ge25519_aff *r, const ge25519_aff *p, unsigned char b)
+{
+  fe25519_cmov(&r->x, &p->x, b);
+  fe25519_cmov(&r->y, &p->y, b);
+}
+
+static unsigned char equal(signed char b,signed char c)
+{
+  unsigned char ub = b;
+  unsigned char uc = c;
+  unsigned char x = ub ^ uc; /* 0: yes; 1..255: no */
+  crypto_uint32 y = x; /* 0: yes; 1..255: no */
+  y -= 1; /* 4294967295: yes; 0..254: no */
+  y >>= 31; /* 1: yes; 0: no */
+  return y;
+}
+
+static unsigned char negative(signed char b)
+{
+  unsigned long long x = b; /* 18446744073709551361..18446744073709551615: yes; 0..255: no */
+  x >>= 63; /* 1: yes; 0: no */
+  return x;
+}
+
+static void choose_t(ge25519_aff *t, unsigned long long pos, signed char b)
+{
+  /* constant time */
+  fe25519 v;
+  *t = ge25519_base_multiples_affine[5*pos+0];
+  cmov_aff(t, &ge25519_base_multiples_affine[5*pos+1],equal(b,1) | equal(b,-1));
+  cmov_aff(t, &ge25519_base_multiples_affine[5*pos+2],equal(b,2) | equal(b,-2));
+  cmov_aff(t, &ge25519_base_multiples_affine[5*pos+3],equal(b,3) | equal(b,-3));
+  cmov_aff(t, &ge25519_base_multiples_affine[5*pos+4],equal(b,-4));
+  fe25519_neg(&v, &t->x);
+  fe25519_cmov(&t->x, &v, negative(b));
+}
+
+static void setneutral(ge25519 *r)
+{
+  fe25519_setzero(&r->x);
+  fe25519_setone(&r->y);
+  fe25519_setone(&r->z);
+  fe25519_setzero(&r->t);
+}
+
+/* ********************************************************************
+ *                    EXPORTED FUNCTIONS
+ ******************************************************************** */
+
+/* return 0 on success, -1 otherwise */
+int ge25519_unpackneg_vartime(ge25519_p3 *r, const unsigned char p[32])
+{
+  unsigned char par;
+  fe25519 t, chk, num, den, den2, den4, den6;
+  fe25519_setone(&r->z);
+  par = p[31] >> 7;
+  fe25519_unpack(&r->y, p); 
+  fe25519_square(&num, &r->y); /* x = y^2 */
+  fe25519_mul(&den, &num, &ge25519_ecd); /* den = dy^2 */
+  fe25519_sub(&num, &num, &r->z); /* x = y^2-1 */
+  fe25519_add(&den, &r->z, &den); /* den = dy^2+1 */
+
+  /* Computation of sqrt(num/den) */
+  /* 1.: computation of num^((p-5)/8)*den^((7p-35)/8) = (num*den^7)^((p-5)/8) */
+  fe25519_square(&den2, &den);
+  fe25519_square(&den4, &den2);
+  fe25519_mul(&den6, &den4, &den2);
+  fe25519_mul(&t, &den6, &num);
+  fe25519_mul(&t, &t, &den);
+
+  fe25519_pow2523(&t, &t);
+  /* 2. computation of r->x = t * num * den^3 */
+  fe25519_mul(&t, &t, &num);
+  fe25519_mul(&t, &t, &den);
+  fe25519_mul(&t, &t, &den);
+  fe25519_mul(&r->x, &t, &den);
+
+  /* 3. Check whether sqrt computation gave correct result, multiply by sqrt(-1) if not: */
+  fe25519_square(&chk, &r->x);
+  fe25519_mul(&chk, &chk, &den);
+  if (!fe25519_iseq_vartime(&chk, &num))
+    fe25519_mul(&r->x, &r->x, &ge25519_sqrtm1);
+
+  /* 4. Now we have one of the two square roots, except if input was not a square */
+  fe25519_square(&chk, &r->x);
+  fe25519_mul(&chk, &chk, &den);
+  if (!fe25519_iseq_vartime(&chk, &num))
+    return -1;
+
+  /* 5. Choose the desired square root according to parity: */
+  if(fe25519_getparity(&r->x) != (1-par))
+    fe25519_neg(&r->x, &r->x);
+
+  fe25519_mul(&r->t, &r->x, &r->y);
+  return 0;
+}
+
+void ge25519_pack(unsigned char r[32], const ge25519_p3 *p)
+{
+  fe25519 tx, ty, zi;
+  fe25519_invert(&zi, &p->z); 
+  fe25519_mul(&tx, &p->x, &zi);
+  fe25519_mul(&ty, &p->y, &zi);
+  fe25519_pack(r, &ty);
+  r[31] ^= fe25519_getparity(&tx) << 7;
+}
+
+int ge25519_isneutral_vartime(const ge25519_p3 *p)
+{
+  int ret = 1;
+  if(!fe25519_iszero(&p->x)) ret = 0;
+  if(!fe25519_iseq_vartime(&p->y, &p->z)) ret = 0;
+  return ret;
+}
+
+/* computes [s1]p1 + [s2]p2 */
+void ge25519_double_scalarmult_vartime(ge25519_p3 *r, const ge25519_p3 *p1, const sc25519 *s1, const ge25519_p3 *p2, const sc25519 *s2)
+{
+  ge25519_p1p1 tp1p1;
+  ge25519_p3 pre[16];
+  unsigned char b[127];
+  int i;
+
+  /* precomputation                                                        s2 s1 */
+  setneutral(pre);                                                      /* 00 00 */
+  pre[1] = *p1;                                                         /* 00 01 */
+  dbl_p1p1(&tp1p1,(ge25519_p2 *)p1);      p1p1_to_p3( &pre[2], &tp1p1); /* 00 10 */
+  add_p1p1(&tp1p1,&pre[1], &pre[2]);      p1p1_to_p3( &pre[3], &tp1p1); /* 00 11 */
+  pre[4] = *p2;                                                         /* 01 00 */
+  add_p1p1(&tp1p1,&pre[1], &pre[4]);      p1p1_to_p3( &pre[5], &tp1p1); /* 01 01 */
+  add_p1p1(&tp1p1,&pre[2], &pre[4]);      p1p1_to_p3( &pre[6], &tp1p1); /* 01 10 */
+  add_p1p1(&tp1p1,&pre[3], &pre[4]);      p1p1_to_p3( &pre[7], &tp1p1); /* 01 11 */
+  dbl_p1p1(&tp1p1,(ge25519_p2 *)p2);      p1p1_to_p3( &pre[8], &tp1p1); /* 10 00 */
+  add_p1p1(&tp1p1,&pre[1], &pre[8]);      p1p1_to_p3( &pre[9], &tp1p1); /* 10 01 */
+  dbl_p1p1(&tp1p1,(ge25519_p2 *)&pre[5]); p1p1_to_p3(&pre[10], &tp1p1); /* 10 10 */
+  add_p1p1(&tp1p1,&pre[3], &pre[8]);      p1p1_to_p3(&pre[11], &tp1p1); /* 10 11 */
+  add_p1p1(&tp1p1,&pre[4], &pre[8]);      p1p1_to_p3(&pre[12], &tp1p1); /* 11 00 */
+  add_p1p1(&tp1p1,&pre[1],&pre[12]);      p1p1_to_p3(&pre[13], &tp1p1); /* 11 01 */
+  add_p1p1(&tp1p1,&pre[2],&pre[12]);      p1p1_to_p3(&pre[14], &tp1p1); /* 11 10 */
+  add_p1p1(&tp1p1,&pre[3],&pre[12]);      p1p1_to_p3(&pre[15], &tp1p1); /* 11 11 */
+
+  sc25519_2interleave2(b,s1,s2);
+
+  /* scalar multiplication */
+  *r = pre[b[126]];
+  for(i=125;i>=0;i--)
+  {
+    dbl_p1p1(&tp1p1, (ge25519_p2 *)r);
+    p1p1_to_p2((ge25519_p2 *) r, &tp1p1);
+    dbl_p1p1(&tp1p1, (ge25519_p2 *)r);
+    if(b[i]!=0)
+    {
+      p1p1_to_p3(r, &tp1p1);
+      add_p1p1(&tp1p1, r, &pre[b[i]]);
+    }
+    if(i != 0) p1p1_to_p2((ge25519_p2 *)r, &tp1p1);
+    else p1p1_to_p3(r, &tp1p1);
+  }
+}
+
+void ge25519_scalarmult_base(ge25519_p3 *r, const sc25519 *s)
+{
+  signed char b[85];
+  int i;
+  ge25519_aff t;
+  sc25519_window3(b,s);
+
+  choose_t((ge25519_aff *)r, 0, b[0]);
+  fe25519_setone(&r->z);
+  fe25519_mul(&r->t, &r->x, &r->y);
+  for(i=1;i<85;i++)
+  {
+    choose_t(&t, (unsigned long long) i, b[i]);
+    ge25519_mixadd2(r, &t);
+  }
+}

diff --git a/usr.bin/signify/ge25519.h b/usr.bin/signify/ge25519.h
new file mode 100644 (file)
index 0000000..0f4660c
--- /dev/null
+++ b/usr.bin/signify/ge25519.h
@@ -0,0 +1,43 @@
+/* $OpenBSD: ge25519.h,v 1.1 2014/07/22 00:41:19 deraadt Exp $ */
+
+/*
+ * Public Domain, Authors: Daniel J. Bernstein, Niels Duif, Tanja Lange,
+ * Peter Schwabe, Bo-Yin Yang.
+ * Copied from supercop-20130419/crypto_sign/ed25519/ref/ge25519.h
+ */
+
+#ifndef GE25519_H
+#define GE25519_H
+
+#include "fe25519.h"
+#include "sc25519.h"
+
+#define ge25519                           crypto_sign_ed25519_ref_ge25519
+#define ge25519_base                      crypto_sign_ed25519_ref_ge25519_base
+#define ge25519_unpackneg_vartime         crypto_sign_ed25519_ref_unpackneg_vartime
+#define ge25519_pack                      crypto_sign_ed25519_ref_pack
+#define ge25519_isneutral_vartime         crypto_sign_ed25519_ref_isneutral_vartime
+#define ge25519_double_scalarmult_vartime crypto_sign_ed25519_ref_double_scalarmult_vartime
+#define ge25519_scalarmult_base           crypto_sign_ed25519_ref_scalarmult_base
+
+typedef struct
+{
+  fe25519 x;
+  fe25519 y;
+  fe25519 z;
+  fe25519 t;
+} ge25519;
+
+const ge25519 ge25519_base;
+
+int ge25519_unpackneg_vartime(ge25519 *r, const unsigned char p[32]);
+
+void ge25519_pack(unsigned char r[32], const ge25519 *p);
+
+int ge25519_isneutral_vartime(const ge25519 *p);
+
+void ge25519_double_scalarmult_vartime(ge25519 *r, const ge25519 *p1, const sc25519 *s1, const ge25519 *p2, const sc25519 *s2);
+
+void ge25519_scalarmult_base(ge25519 *r, const sc25519 *s);
+
+#endif

diff --git a/usr.bin/signify/ge25519_base.data b/usr.bin/signify/ge25519_base.data
new file mode 100644 (file)
index 0000000..8f6a62b
--- /dev/null
+++ b/usr.bin/signify/ge25519_base.data
@@ -0,0 +1,858 @@
+/* $OpenBSD: ge25519_base.data,v 1.1 2014/07/22 00:41:19 deraadt Exp $ */
+
+/*
+ * Public Domain, Authors: Daniel J. Bernstein, Niels Duif, Tanja Lange,
+ * Peter Schwabe, Bo-Yin Yang.
+ * Copied from supercop-20130419/crypto_sign/ed25519/ref/ge25519_base.data
+ */
+
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+ {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
+{{{0x1a, 0xd5, 0x25, 0x8f, 0x60, 0x2d, 0x56, 0xc9, 0xb2, 0xa7, 0x25, 0x95, 0x60, 0xc7, 0x2c, 0x69, 0x5c, 0xdc, 0xd6, 0xfd, 0x31, 0xe2, 0xa4, 0xc0, 0xfe, 0x53, 0x6e, 0xcd, 0xd3, 0x36, 0x69, 0x21}} ,
+ {{0x58, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66}}},
+{{{0x0e, 0xce, 0x43, 0x28, 0x4e, 0xa1, 0xc5, 0x83, 0x5f, 0xa4, 0xd7, 0x15, 0x45, 0x8e, 0x0d, 0x08, 0xac, 0xe7, 0x33, 0x18, 0x7d, 0x3b, 0x04, 0x3d, 0x6c, 0x04, 0x5a, 0x9f, 0x4c, 0x38, 0xab, 0x36}} ,
+ {{0xc9, 0xa3, 0xf8, 0x6a, 0xae, 0x46, 0x5f, 0x0e, 0x56, 0x51, 0x38, 0x64, 0x51, 0x0f, 0x39, 0x97, 0x56, 0x1f, 0xa2, 0xc9, 0xe8, 0x5e, 0xa2, 0x1d, 0xc2, 0x29, 0x23, 0x09, 0xf3, 0xcd, 0x60, 0x22}}},
+{{{0x5c, 0xe2, 0xf8, 0xd3, 0x5f, 0x48, 0x62, 0xac, 0x86, 0x48, 0x62, 0x81, 0x19, 0x98, 0x43, 0x63, 0x3a, 0xc8, 0xda, 0x3e, 0x74, 0xae, 0xf4, 0x1f, 0x49, 0x8f, 0x92, 0x22, 0x4a, 0x9c, 0xae, 0x67}} ,
+ {{0xd4, 0xb4, 0xf5, 0x78, 0x48, 0x68, 0xc3, 0x02, 0x04, 0x03, 0x24, 0x67, 0x17, 0xec, 0x16, 0x9f, 0xf7, 0x9e, 0x26, 0x60, 0x8e, 0xa1, 0x26, 0xa1, 0xab, 0x69, 0xee, 0x77, 0xd1, 0xb1, 0x67, 0x12}}},
+{{{0x70, 0xf8, 0xc9, 0xc4, 0x57, 0xa6, 0x3a, 0x49, 0x47, 0x15, 0xce, 0x93, 0xc1, 0x9e, 0x73, 0x1a, 0xf9, 0x20, 0x35, 0x7a, 0xb8, 0xd4, 0x25, 0x83, 0x46, 0xf1, 0xcf, 0x56, 0xdb, 0xa8, 0x3d, 0x20}} ,
+ {{0x2f, 0x11, 0x32, 0xca, 0x61, 0xab, 0x38, 0xdf, 0xf0, 0x0f, 0x2f, 0xea, 0x32, 0x28, 0xf2, 0x4c, 0x6c, 0x71, 0xd5, 0x80, 0x85, 0xb8, 0x0e, 0x47, 0xe1, 0x95, 0x15, 0xcb, 0x27, 0xe8, 0xd0, 0x47}}},
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+ {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
+{{{0xc8, 0x84, 0xa5, 0x08, 0xbc, 0xfd, 0x87, 0x3b, 0x99, 0x8b, 0x69, 0x80, 0x7b, 0xc6, 0x3a, 0xeb, 0x93, 0xcf, 0x4e, 0xf8, 0x5c, 0x2d, 0x86, 0x42, 0xb6, 0x71, 0xd7, 0x97, 0x5f, 0xe1, 0x42, 0x67}} ,
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+{{{0x87, 0xdd, 0xcf, 0xf0, 0x5b, 0x49, 0xa2, 0x5d, 0x40, 0x7a, 0x23, 0x26, 0xa4, 0x7a, 0x83, 0x8a, 0xb7, 0x8b, 0xd2, 0x1a, 0xbf, 0xea, 0x02, 0x24, 0x08, 0x5f, 0x7b, 0xa9, 0xb1, 0xbe, 0x9d, 0x37}} ,
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+{{{0x47, 0xfc, 0xab, 0x5a, 0x17, 0xf0, 0x85, 0x56, 0x3a, 0x30, 0x86, 0x20, 0x28, 0x4b, 0x8e, 0x44, 0x74, 0x3a, 0x6e, 0x02, 0xf1, 0x32, 0x8f, 0x9f, 0x3f, 0x08, 0x35, 0xe9, 0xca, 0x16, 0x5f, 0x6e}} ,
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+ {{0xc7, 0xf6, 0x6c, 0x56, 0x31, 0x20, 0x14, 0x0e, 0xa8, 0xd9, 0x27, 0xc1, 0x9a, 0x3d, 0x1b, 0x7d, 0x0e, 0x26, 0xd3, 0x81, 0xaa, 0xeb, 0xf5, 0x6b, 0x79, 0x02, 0xf1, 0x51, 0x5c, 0x75, 0x55, 0x0f}}},
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+ {{0xf8, 0x64, 0x8b, 0x60, 0x90, 0xe9, 0xde, 0x44, 0x77, 0xb9, 0x07, 0x36, 0x32, 0xc2, 0x50, 0xf5, 0x65, 0xdf, 0x48, 0x4c, 0x37, 0xaa, 0x68, 0xab, 0x9a, 0x1f, 0x3e, 0xff, 0x89, 0x92, 0xa0, 0x07}}},
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+{{{0x7d, 0x4f, 0x9c, 0x19, 0xc0, 0x4a, 0x31, 0xec, 0xf9, 0xaa, 0xeb, 0xb2, 0x16, 0x9c, 0xa3, 0x66, 0x5f, 0xd1, 0xd4, 0xed, 0xb8, 0x92, 0x1c, 0xab, 0xda, 0xea, 0xd9, 0x57, 0xdf, 0x4c, 0x2a, 0x48}} ,
+ {{0x4b, 0xb0, 0x4e, 0x6e, 0x11, 0x3b, 0x51, 0xbd, 0x6a, 0xfd, 0xe4, 0x25, 0xa5, 0x5f, 0x11, 0x3f, 0x98, 0x92, 0x51, 0x14, 0xc6, 0x5f, 0x3c, 0x0b, 0xa8, 0xf7, 0xc2, 0x81, 0x43, 0xde, 0x91, 0x73}}},
+{{{0x3c, 0x8f, 0x9f, 0x33, 0x2a, 0x1f, 0x43, 0x33, 0x8f, 0x68, 0xff, 0x1f, 0x3d, 0x73, 0x6b, 0xbf, 0x68, 0xcc, 0x7d, 0x13, 0x6c, 0x24, 0x4b, 0xcc, 0x4d, 0x24, 0x0d, 0xfe, 0xde, 0x86, 0xad, 0x3b}} ,
+ {{0x79, 0x51, 0x81, 0x01, 0xdc, 0x73, 0x53, 0xe0, 0x6e, 0x9b, 0xea, 0x68, 0x3f, 0x5c, 0x14, 0x84, 0x53, 0x8d, 0x4b, 0xc0, 0x9f, 0x9f, 0x89, 0x2b, 0x8c, 0xba, 0x86, 0xfa, 0xf2, 0xcd, 0xe3, 0x2d}}},
+{{{0x06, 0xf9, 0x29, 0x5a, 0xdb, 0x3d, 0x84, 0x52, 0xab, 0xcc, 0x6b, 0x60, 0x9d, 0xb7, 0x4a, 0x0e, 0x36, 0x63, 0x91, 0xad, 0xa0, 0x95, 0xb0, 0x97, 0x89, 0x4e, 0xcf, 0x7d, 0x3c, 0xe5, 0x7c, 0x28}} ,
+ {{0x2e, 0x69, 0x98, 0xfd, 0xc6, 0xbd, 0xcc, 0xca, 0xdf, 0x9a, 0x44, 0x7e, 0x9d, 0xca, 0x89, 0x6d, 0xbf, 0x27, 0xc2, 0xf8, 0xcd, 0x46, 0x00, 0x2b, 0xb5, 0x58, 0x4e, 0xb7, 0x89, 0x09, 0xe9, 0x2d}}},
+{{{0x54, 0xbe, 0x75, 0xcb, 0x05, 0xb0, 0x54, 0xb7, 0xe7, 0x26, 0x86, 0x4a, 0xfc, 0x19, 0xcf, 0x27, 0x46, 0xd4, 0x22, 0x96, 0x5a, 0x11, 0xe8, 0xd5, 0x1b, 0xed, 0x71, 0xc5, 0x5d, 0xc8, 0xaf, 0x45}} ,
+ {{0x40, 0x7b, 0x77, 0x57, 0x49, 0x9e, 0x80, 0x39, 0x23, 0xee, 0x81, 0x0b, 0x22, 0xcf, 0xdb, 0x7a, 0x2f, 0x14, 0xb8, 0x57, 0x8f, 0xa1, 0x39, 0x1e, 0x77, 0xfc, 0x0b, 0xa6, 0xbf, 0x8a, 0x0c, 0x6c}}},
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+{{{0x77, 0x3a, 0xd4, 0xd8, 0x27, 0xcf, 0xe8, 0xa1, 0x72, 0x9d, 0xca, 0xdd, 0x0d, 0x96, 0xda, 0x79, 0xed, 0x56, 0x42, 0x15, 0x60, 0xc7, 0x1c, 0x6b, 0x26, 0x30, 0xf6, 0x6a, 0x95, 0x67, 0xf3, 0x0a}} ,
+ {{0xc5, 0x08, 0xa4, 0x2b, 0x2f, 0xbd, 0x31, 0x81, 0x2a, 0xa6, 0xb6, 0xe4, 0x00, 0x91, 0xda, 0x3d, 0xb2, 0xb0, 0x96, 0xce, 0x8a, 0xd2, 0x8d, 0x70, 0xb3, 0xd3, 0x34, 0x01, 0x90, 0x8d, 0x10, 0x21}}},
+{{{0x33, 0x0d, 0xe7, 0xba, 0x4f, 0x07, 0xdf, 0x8d, 0xea, 0x7d, 0xa0, 0xc5, 0xd6, 0xb1, 0xb0, 0xe5, 0x57, 0x1b, 0x5b, 0xf5, 0x45, 0x13, 0x14, 0x64, 0x5a, 0xeb, 0x5c, 0xfc, 0x54, 0x01, 0x76, 0x2b}} ,
+ {{0x02, 0x0c, 0xc2, 0xaf, 0x96, 0x36, 0xfe, 0x4a, 0xe2, 0x54, 0x20, 0x6a, 0xeb, 0xb2, 0x9f, 0x62, 0xd7, 0xce, 0xa2, 0x3f, 0x20, 0x11, 0x34, 0x37, 0xe0, 0x42, 0xed, 0x6f, 0xf9, 0x1a, 0xc8, 0x7d}}},
+{{{0xd8, 0xb9, 0x11, 0xe8, 0x36, 0x3f, 0x42, 0xc1, 0xca, 0xdc, 0xd3, 0xf1, 0xc8, 0x23, 0x3d, 0x4f, 0x51, 0x7b, 0x9d, 0x8d, 0xd8, 0xe4, 0xa0, 0xaa, 0xf3, 0x04, 0xd6, 0x11, 0x93, 0xc8, 0x35, 0x45}} ,
+ {{0x61, 0x36, 0xd6, 0x08, 0x90, 0xbf, 0xa7, 0x7a, 0x97, 0x6c, 0x0f, 0x84, 0xd5, 0x33, 0x2d, 0x37, 0xc9, 0x6a, 0x80, 0x90, 0x3d, 0x0a, 0xa2, 0xaa, 0xe1, 0xb8, 0x84, 0xba, 0x61, 0x36, 0xdd, 0x69}}},
+{{{0x6b, 0xdb, 0x5b, 0x9c, 0xc6, 0x92, 0xbc, 0x23, 0xaf, 0xc5, 0xb8, 0x75, 0xf8, 0x42, 0xfa, 0xd6, 0xb6, 0x84, 0x94, 0x63, 0x98, 0x93, 0x48, 0x78, 0x38, 0xcd, 0xbb, 0x18, 0x34, 0xc3, 0xdb, 0x67}} ,
+ {{0x96, 0xf3, 0x3a, 0x09, 0x56, 0xb0, 0x6f, 0x7c, 0x51, 0x1e, 0x1b, 0x39, 0x48, 0xea, 0xc9, 0x0c, 0x25, 0xa2, 0x7a, 0xca, 0xe7, 0x92, 0xfc, 0x59, 0x30, 0xa3, 0x89, 0x85, 0xdf, 0x6f, 0x43, 0x38}}},
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+{{{0x79, 0x84, 0x44, 0x19, 0xbd, 0xe9, 0x54, 0xc4, 0xc0, 0x6e, 0x2a, 0xa8, 0xa8, 0x9b, 0x43, 0xd5, 0x71, 0x22, 0x5f, 0xdc, 0x01, 0xfa, 0xdf, 0xb3, 0xb8, 0x47, 0x4b, 0x0a, 0xa5, 0x44, 0xea, 0x29}} ,
+ {{0x05, 0x90, 0x50, 0xaf, 0x63, 0x5f, 0x9d, 0x9e, 0xe1, 0x9d, 0x38, 0x97, 0x1f, 0x6c, 0xac, 0x30, 0x46, 0xb2, 0x6a, 0x19, 0xd1, 0x4b, 0xdb, 0xbb, 0x8c, 0xda, 0x2e, 0xab, 0xc8, 0x5a, 0x77, 0x6c}}},
+{{{0x2b, 0xbe, 0xaf, 0xa1, 0x6d, 0x2f, 0x0b, 0xb1, 0x8f, 0xe3, 0xe0, 0x38, 0xcd, 0x0b, 0x41, 0x1b, 0x4a, 0x15, 0x07, 0xf3, 0x6f, 0xdc, 0xb8, 0xe9, 0xde, 0xb2, 0xa3, 0x40, 0x01, 0xa6, 0x45, 0x1e}} ,
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+{{{0xfd, 0x67, 0x6b, 0x71, 0x9b, 0x81, 0x53, 0x39, 0x39, 0xf4, 0xb8, 0xd5, 0xc3, 0x30, 0x9b, 0x3b, 0x7c, 0xa3, 0xf0, 0xd0, 0x84, 0x21, 0xd6, 0xbf, 0xb7, 0x4c, 0x87, 0x13, 0x45, 0x2d, 0xa7, 0x55}} ,
+ {{0x5d, 0x04, 0xb3, 0x40, 0x28, 0x95, 0x2d, 0x30, 0x83, 0xec, 0x5e, 0xe4, 0xff, 0x75, 0xfe, 0x79, 0x26, 0x9d, 0x1d, 0x36, 0xcd, 0x0a, 0x15, 0xd2, 0x24, 0x14, 0x77, 0x71, 0xd7, 0x8a, 0x1b, 0x04}}},
+{{{0x5d, 0x93, 0xc9, 0xbe, 0xaa, 0x90, 0xcd, 0x9b, 0xfb, 0x73, 0x7e, 0xb0, 0x64, 0x98, 0x57, 0x44, 0x42, 0x41, 0xb1, 0xaf, 0xea, 0xc1, 0xc3, 0x22, 0xff, 0x60, 0x46, 0xcb, 0x61, 0x81, 0x70, 0x61}} ,
+ {{0x0d, 0x82, 0xb9, 0xfe, 0x21, 0xcd, 0xc4, 0xf5, 0x98, 0x0c, 0x4e, 0x72, 0xee, 0x87, 0x49, 0xf8, 0xa1, 0x95, 0xdf, 0x8f, 0x2d, 0xbd, 0x21, 0x06, 0x7c, 0x15, 0xe8, 0x12, 0x6d, 0x93, 0xd6, 0x38}}},
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+{{{0x91, 0xf7, 0x51, 0xd9, 0xef, 0x7d, 0x42, 0x01, 0x13, 0xe9, 0xb8, 0x7f, 0xa6, 0x49, 0x17, 0x64, 0x21, 0x80, 0x83, 0x2c, 0x63, 0x4c, 0x60, 0x09, 0x59, 0x91, 0x92, 0x77, 0x39, 0x51, 0xf4, 0x48}} ,
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+{{{0xd8, 0xce, 0xdc, 0xf9, 0x3c, 0x4b, 0xa2, 0x1d, 0x2c, 0x2f, 0x36, 0xbe, 0x7a, 0xfc, 0xcd, 0xbc, 0xdc, 0xf9, 0x30, 0xbd, 0xff, 0x05, 0xc7, 0xe4, 0x8e, 0x17, 0x62, 0xf8, 0x4d, 0xa0, 0x56, 0x79}} ,
+ {{0x82, 0xe7, 0xf6, 0xba, 0x53, 0x84, 0x0a, 0xa3, 0x34, 0xff, 0x3c, 0xa3, 0x6a, 0xa1, 0x37, 0xea, 0xdd, 0xb6, 0x95, 0xb3, 0x78, 0x19, 0x76, 0x1e, 0x55, 0x2f, 0x77, 0x2e, 0x7f, 0xc1, 0xea, 0x5e}}},
+{{{0x83, 0xe1, 0x6e, 0xa9, 0x07, 0x33, 0x3e, 0x83, 0xff, 0xcb, 0x1c, 0x9f, 0xb1, 0xa3, 0xb4, 0xc9, 0xe1, 0x07, 0x97, 0xff, 0xf8, 0x23, 0x8f, 0xce, 0x40, 0xfd, 0x2e, 0x5e, 0xdb, 0x16, 0x43, 0x2d}} ,
+ {{0xba, 0x38, 0x02, 0xf7, 0x81, 0x43, 0x83, 0xa3, 0x20, 0x4f, 0x01, 0x3b, 0x8a, 0x04, 0x38, 0x31, 0xc6, 0x0f, 0xc8, 0xdf, 0xd7, 0xfa, 0x2f, 0x88, 0x3f, 0xfc, 0x0c, 0x76, 0xc4, 0xa6, 0x45, 0x72}}},
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+ {{0x1a, 0xb9, 0xc9, 0x10, 0xfb, 0x1e, 0x4e, 0xf4, 0x84, 0x4b, 0x8a, 0x5e, 0x7b, 0x4b, 0xe8, 0x43, 0x8c, 0x8f, 0x00, 0xb5, 0x54, 0x13, 0xc5, 0x5c, 0xb6, 0x35, 0x4e, 0x9d, 0xe4, 0x5b, 0x41, 0x6d}}},
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+ {{0xcb, 0x77, 0x9a, 0x20, 0xde, 0xb8, 0x23, 0xd9, 0xa0, 0x0f, 0x8c, 0x7b, 0xa5, 0xcb, 0xae, 0xb6, 0xec, 0x42, 0x67, 0x0e, 0x58, 0xa4, 0x75, 0x98, 0x21, 0x71, 0x84, 0xb3, 0xe0, 0x76, 0x94, 0x73}}},
+{{{0xdf, 0xfc, 0x69, 0x28, 0x23, 0x3f, 0x5b, 0xf8, 0x3b, 0x24, 0x37, 0xf3, 0x1d, 0xd5, 0x22, 0x6b, 0xd0, 0x98, 0xa8, 0x6c, 0xcf, 0xff, 0x06, 0xe1, 0x13, 0xdf, 0xb9, 0xc1, 0x0c, 0xa9, 0xbf, 0x33}} ,
+ {{0xd9, 0x81, 0xda, 0xb2, 0x4f, 0x82, 0x9d, 0x43, 0x81, 0x09, 0xf1, 0xd2, 0x01, 0xef, 0xac, 0xf4, 0x2d, 0x7d, 0x01, 0x09, 0xf1, 0xff, 0xa5, 0x9f, 0xe5, 0xca, 0x27, 0x63, 0xdb, 0x20, 0xb1, 0x53}}},
+{{{0x67, 0x02, 0xe8, 0xad, 0xa9, 0x34, 0xd4, 0xf0, 0x15, 0x81, 0xaa, 0xc7, 0x4d, 0x87, 0x94, 0xea, 0x75, 0xe7, 0x4c, 0x94, 0x04, 0x0e, 0x69, 0x87, 0xe7, 0x51, 0x91, 0x10, 0x03, 0xc7, 0xbe, 0x56}} ,
+ {{0x32, 0xfb, 0x86, 0xec, 0x33, 0x6b, 0x2e, 0x51, 0x2b, 0xc8, 0xfa, 0x6c, 0x70, 0x47, 0x7e, 0xce, 0x05, 0x0c, 0x71, 0xf3, 0xb4, 0x56, 0xa6, 0xdc, 0xcc, 0x78, 0x07, 0x75, 0xd0, 0xdd, 0xb2, 0x6a}}},
+{{{0xc6, 0xef, 0xb9, 0xc0, 0x2b, 0x22, 0x08, 0x1e, 0x71, 0x70, 0xb3, 0x35, 0x9c, 0x7a, 0x01, 0x92, 0x44, 0x9a, 0xf6, 0xb0, 0x58, 0x95, 0xc1, 0x9b, 0x02, 0xed, 0x2d, 0x7c, 0x34, 0x29, 0x49, 0x44}} ,
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+ {{0xd2, 0x0c, 0x88, 0xc5, 0x48, 0x4d, 0xea, 0x0d, 0x4a, 0xc9, 0x52, 0x6a, 0x61, 0x79, 0xe9, 0x76, 0xf3, 0x85, 0x52, 0x5c, 0x1b, 0x2c, 0xe1, 0xd6, 0xc4, 0x0f, 0x18, 0x0e, 0x4e, 0xf6, 0x1c, 0x7f}}},
+{{{0xb4, 0x04, 0x2e, 0x42, 0xcb, 0x1f, 0x2b, 0x11, 0x51, 0x7b, 0x08, 0xac, 0xaa, 0x3e, 0x9e, 0x52, 0x60, 0xb7, 0xc2, 0x61, 0x57, 0x8c, 0x84, 0xd5, 0x18, 0xa6, 0x19, 0xfc, 0xb7, 0x75, 0x91, 0x1b}} ,
+ {{0xe8, 0x68, 0xca, 0x44, 0xc8, 0x38, 0x38, 0xcc, 0x53, 0x0a, 0x32, 0x35, 0xcc, 0x52, 0xcb, 0x0e, 0xf7, 0xc5, 0xe7, 0xec, 0x3d, 0x85, 0xcc, 0x58, 0xe2, 0x17, 0x47, 0xff, 0x9f, 0xa5, 0x30, 0x17}}},
+{{{0xe3, 0xae, 0xc8, 0xc1, 0x71, 0x75, 0x31, 0x00, 0x37, 0x41, 0x5c, 0x0e, 0x39, 0xda, 0x73, 0xa0, 0xc7, 0x97, 0x36, 0x6c, 0x5b, 0xf2, 0xee, 0x64, 0x0a, 0x3d, 0x89, 0x1e, 0x1d, 0x49, 0x8c, 0x37}} ,
+ {{0x4c, 0xe6, 0xb0, 0xc1, 0xa5, 0x2a, 0x82, 0x09, 0x08, 0xad, 0x79, 0x9c, 0x56, 0xf6, 0xf9, 0xc1, 0xd7, 0x7c, 0x39, 0x7f, 0x93, 0xca, 0x11, 0x55, 0xbf, 0x07, 0x1b, 0x82, 0x29, 0x69, 0x95, 0x5c}}},
+{{{0x87, 0xee, 0xa6, 0x56, 0x9e, 0xc2, 0x9a, 0x56, 0x24, 0x42, 0x85, 0x4d, 0x98, 0x31, 0x1e, 0x60, 0x4d, 0x87, 0x85, 0x04, 0xae, 0x46, 0x12, 0xf9, 0x8e, 0x7f, 0xe4, 0x7f, 0xf6, 0x1c, 0x37, 0x01}} ,
+ {{0x73, 0x4c, 0xb6, 0xc5, 0xc4, 0xe9, 0x6c, 0x85, 0x48, 0x4a, 0x5a, 0xac, 0xd9, 0x1f, 0x43, 0xf8, 0x62, 0x5b, 0xee, 0x98, 0x2a, 0x33, 0x8e, 0x79, 0xce, 0x61, 0x06, 0x35, 0xd8, 0xd7, 0xca, 0x71}}},
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
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+{{{0x72, 0xd3, 0xae, 0xa6, 0xca, 0x8f, 0xcd, 0xcc, 0x78, 0x8e, 0x19, 0x4d, 0xa7, 0xd2, 0x27, 0xe9, 0xa4, 0x3c, 0x16, 0x5b, 0x84, 0x80, 0xf9, 0xd0, 0xcc, 0x6a, 0x1e, 0xca, 0x1e, 0x67, 0xbd, 0x63}} ,
+ {{0x7b, 0x6e, 0x2a, 0xd2, 0x87, 0x48, 0xff, 0xa1, 0xca, 0xe9, 0x15, 0x85, 0xdc, 0xdb, 0x2c, 0x39, 0x12, 0x91, 0xa9, 0x20, 0xaa, 0x4f, 0x29, 0xf4, 0x15, 0x7a, 0xd2, 0xf5, 0x32, 0xcc, 0x60, 0x04}}},
+{{{0xe5, 0x10, 0x47, 0x3b, 0xfa, 0x90, 0xfc, 0x30, 0xb5, 0xea, 0x6f, 0x56, 0x8f, 0xfb, 0x0e, 0xa7, 0x3b, 0xc8, 0xb2, 0xff, 0x02, 0x7a, 0x33, 0x94, 0x93, 0x2a, 0x03, 0xe0, 0x96, 0x3a, 0x6c, 0x0f}} ,
+ {{0x5a, 0x63, 0x67, 0xe1, 0x9b, 0x47, 0x78, 0x9f, 0x38, 0x79, 0xac, 0x97, 0x66, 0x1d, 0x5e, 0x51, 0xee, 0x24, 0x42, 0xe8, 0x58, 0x4b, 0x8a, 0x03, 0x75, 0x86, 0x37, 0x86, 0xe2, 0x97, 0x4e, 0x3d}}},
+{{{0x3f, 0x75, 0x8e, 0xb4, 0xff, 0xd8, 0xdd, 0xd6, 0x37, 0x57, 0x9d, 0x6d, 0x3b, 0xbd, 0xd5, 0x60, 0x88, 0x65, 0x9a, 0xb9, 0x4a, 0x68, 0x84, 0xa2, 0x67, 0xdd, 0x17, 0x25, 0x97, 0x04, 0x8b, 0x5e}} ,
+ {{0xbb, 0x40, 0x5e, 0xbc, 0x16, 0x92, 0x05, 0xc4, 0xc0, 0x4e, 0x72, 0x90, 0x0e, 0xab, 0xcf, 0x8a, 0xed, 0xef, 0xb9, 0x2d, 0x3b, 0xf8, 0x43, 0x5b, 0xba, 0x2d, 0xeb, 0x2f, 0x52, 0xd2, 0xd1, 0x5a}}},
+{{{0x40, 0xb4, 0xab, 0xe6, 0xad, 0x9f, 0x46, 0x69, 0x4a, 0xb3, 0x8e, 0xaa, 0xea, 0x9c, 0x8a, 0x20, 0x16, 0x5d, 0x8c, 0x13, 0xbd, 0xf6, 0x1d, 0xc5, 0x24, 0xbd, 0x90, 0x2a, 0x1c, 0xc7, 0x13, 0x3b}} ,
+ {{0x54, 0xdc, 0x16, 0x0d, 0x18, 0xbe, 0x35, 0x64, 0x61, 0x52, 0x02, 0x80, 0xaf, 0x05, 0xf7, 0xa6, 0x42, 0xd3, 0x8f, 0x2e, 0x79, 0x26, 0xa8, 0xbb, 0xb2, 0x17, 0x48, 0xb2, 0x7a, 0x0a, 0x89, 0x14}}},
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+ {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
+{{{0x20, 0xa8, 0x88, 0xe3, 0x91, 0xc0, 0x6e, 0xbb, 0x8a, 0x27, 0x82, 0x51, 0x83, 0xb2, 0x28, 0xa9, 0x83, 0xeb, 0xa6, 0xa9, 0x4d, 0x17, 0x59, 0x22, 0x54, 0x00, 0x50, 0x45, 0xcb, 0x48, 0x4b, 0x18}} ,
+ {{0x33, 0x7c, 0xe7, 0x26, 0xba, 0x4d, 0x32, 0xfe, 0x53, 0xf4, 0xfa, 0x83, 0xe3, 0xa5, 0x79, 0x66, 0x73, 0xef, 0x80, 0x23, 0x68, 0xc2, 0x60, 0xdd, 0xa9, 0x33, 0xdc, 0x03, 0x7a, 0xe0, 0xe0, 0x3e}}},
+{{{0x34, 0x5c, 0x13, 0xfb, 0xc0, 0xe3, 0x78, 0x2b, 0x54, 0x58, 0x22, 0x9b, 0x76, 0x81, 0x7f, 0x93, 0x9c, 0x25, 0x3c, 0xd2, 0xe9, 0x96, 0x21, 0x26, 0x08, 0xf5, 0xed, 0x95, 0x11, 0xae, 0x04, 0x5a}} ,
+ {{0xb9, 0xe8, 0xc5, 0x12, 0x97, 0x1f, 0x83, 0xfe, 0x3e, 0x94, 0x99, 0xd4, 0x2d, 0xf9, 0x52, 0x59, 0x5c, 0x82, 0xa6, 0xf0, 0x75, 0x7e, 0xe8, 0xec, 0xcc, 0xac, 0x18, 0x21, 0x09, 0x67, 0x66, 0x67}}},
+{{{0xb3, 0x40, 0x29, 0xd1, 0xcb, 0x1b, 0x08, 0x9e, 0x9c, 0xb7, 0x53, 0xb9, 0x3b, 0x71, 0x08, 0x95, 0x12, 0x1a, 0x58, 0xaf, 0x7e, 0x82, 0x52, 0x43, 0x4f, 0x11, 0x39, 0xf4, 0x93, 0x1a, 0x26, 0x05}} ,
+ {{0x6e, 0x44, 0xa3, 0xf9, 0x64, 0xaf, 0xe7, 0x6d, 0x7d, 0xdf, 0x1e, 0xac, 0x04, 0xea, 0x3b, 0x5f, 0x9b, 0xe8, 0x24, 0x9d, 0x0e, 0xe5, 0x2e, 0x3e, 0xdf, 0xa9, 0xf7, 0xd4, 0x50, 0x71, 0xf0, 0x78}}},
+{{{0x3e, 0xa8, 0x38, 0xc2, 0x57, 0x56, 0x42, 0x9a, 0xb1, 0xe2, 0xf8, 0x45, 0xaa, 0x11, 0x48, 0x5f, 0x17, 0xc4, 0x54, 0x27, 0xdc, 0x5d, 0xaa, 0xdd, 0x41, 0xbc, 0xdf, 0x81, 0xb9, 0x53, 0xee, 0x52}} ,
+ {{0xc3, 0xf1, 0xa7, 0x6d, 0xb3, 0x5f, 0x92, 0x6f, 0xcc, 0x91, 0xb8, 0x95, 0x05, 0xdf, 0x3c, 0x64, 0x57, 0x39, 0x61, 0x51, 0xad, 0x8c, 0x38, 0x7b, 0xc8, 0xde, 0x00, 0x34, 0xbe, 0xa1, 0xb0, 0x7e}}},
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+ {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
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+ {{0x4e, 0xee, 0x1c, 0x91, 0xe6, 0x11, 0xbd, 0x8e, 0x55, 0x1a, 0x18, 0x75, 0x66, 0xaf, 0x4d, 0x7b, 0x0f, 0xae, 0x6d, 0x85, 0xca, 0x82, 0x58, 0x21, 0x9c, 0x18, 0xe0, 0xed, 0xec, 0x22, 0x80, 0x2f}}},
+{{{0x68, 0x3b, 0x0a, 0x39, 0x1d, 0x6a, 0x15, 0x57, 0xfc, 0xf0, 0x63, 0x54, 0xdb, 0x39, 0xdb, 0xe8, 0x5c, 0x64, 0xff, 0xa0, 0x09, 0x4f, 0x3b, 0xb7, 0x32, 0x60, 0x99, 0x94, 0xfd, 0x94, 0x82, 0x2d}} ,
+ {{0x24, 0xf6, 0x5a, 0x44, 0xf1, 0x55, 0x2c, 0xdb, 0xea, 0x7c, 0x84, 0x7c, 0x01, 0xac, 0xe3, 0xfd, 0xc9, 0x27, 0xc1, 0x5a, 0xb9, 0xde, 0x4f, 0x5a, 0x90, 0xdd, 0xc6, 0x67, 0xaa, 0x6f, 0x8a, 0x3a}}},
+{{{0x78, 0x52, 0x87, 0xc9, 0x97, 0x63, 0xb1, 0xdd, 0x54, 0x5f, 0xc1, 0xf8, 0xf1, 0x06, 0xa6, 0xa8, 0xa3, 0x88, 0x82, 0xd4, 0xcb, 0xa6, 0x19, 0xdd, 0xd1, 0x11, 0x87, 0x08, 0x17, 0x4c, 0x37, 0x2a}} ,
+ {{0xa1, 0x0c, 0xf3, 0x08, 0x43, 0xd9, 0x24, 0x1e, 0x83, 0xa7, 0xdf, 0x91, 0xca, 0xbd, 0x69, 0x47, 0x8d, 0x1b, 0xe2, 0xb9, 0x4e, 0xb5, 0xe1, 0x76, 0xb3, 0x1c, 0x93, 0x03, 0xce, 0x5f, 0xb3, 0x5a}}},
+{{{0x1d, 0xda, 0xe4, 0x61, 0x03, 0x50, 0xa9, 0x8b, 0x68, 0x18, 0xef, 0xb2, 0x1c, 0x84, 0x3b, 0xa2, 0x44, 0x95, 0xa3, 0x04, 0x3b, 0xd6, 0x99, 0x00, 0xaf, 0x76, 0x42, 0x67, 0x02, 0x7d, 0x85, 0x56}} ,
+ {{0xce, 0x72, 0x0e, 0x29, 0x84, 0xb2, 0x7d, 0xd2, 0x45, 0xbe, 0x57, 0x06, 0xed, 0x7f, 0xcf, 0xed, 0xcd, 0xef, 0x19, 0xd6, 0xbc, 0x15, 0x79, 0x64, 0xd2, 0x18, 0xe3, 0x20, 0x67, 0x3a, 0x54, 0x0b}}},
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+{{{0x52, 0xfd, 0x04, 0xc5, 0xfb, 0x99, 0xe7, 0xe8, 0xfb, 0x8c, 0xe1, 0x42, 0x03, 0xef, 0x9d, 0xd9, 0x9e, 0x4d, 0xf7, 0x80, 0xcf, 0x2e, 0xcc, 0x9b, 0x45, 0xc9, 0x7b, 0x7a, 0xbc, 0x37, 0xa8, 0x52}} ,
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+{{{0x53, 0xcd, 0xf3, 0x86, 0x40, 0xe6, 0x39, 0x42, 0x95, 0xd6, 0xcb, 0x45, 0x1a, 0x20, 0xc8, 0x45, 0x4b, 0x32, 0x69, 0x04, 0xb1, 0xaf, 0x20, 0x46, 0xc7, 0x6b, 0x23, 0x5b, 0x69, 0xee, 0x30, 0x3f}} ,
+ {{0x70, 0x83, 0x47, 0xc0, 0xdb, 0x55, 0x08, 0xa8, 0x7b, 0x18, 0x6d, 0xf5, 0x04, 0x5a, 0x20, 0x0c, 0x4a, 0x8c, 0x60, 0xae, 0xae, 0x0f, 0x64, 0x55, 0x55, 0x2e, 0xd5, 0x1d, 0x53, 0x31, 0x42, 0x41}}},
+{{{0xca, 0xfc, 0x88, 0x6b, 0x96, 0x78, 0x0a, 0x8b, 0x83, 0xdc, 0xbc, 0xaf, 0x40, 0xb6, 0x8d, 0x7f, 0xef, 0xb4, 0xd1, 0x3f, 0xcc, 0xa2, 0x74, 0xc9, 0xc2, 0x92, 0x55, 0x00, 0xab, 0xdb, 0xbf, 0x4f}} ,
+ {{0x93, 0x1c, 0x06, 0x2d, 0x66, 0x65, 0x02, 0xa4, 0x97, 0x18, 0xfd, 0x00, 0xe7, 0xab, 0x03, 0xec, 0xce, 0xc1, 0xbf, 0x37, 0xf8, 0x13, 0x53, 0xa5, 0xe5, 0x0c, 0x3a, 0xa8, 0x55, 0xb9, 0xff, 0x68}}},
+{{{0xe4, 0xe6, 0x6d, 0x30, 0x7d, 0x30, 0x35, 0xc2, 0x78, 0x87, 0xf9, 0xfc, 0x6b, 0x5a, 0xc3, 0xb7, 0x65, 0xd8, 0x2e, 0xc7, 0xa5, 0x0c, 0xc6, 0xdc, 0x12, 0xaa, 0xd6, 0x4f, 0xc5, 0x38, 0xbc, 0x0e}} ,
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+ {{0xa9, 0xea, 0x6d, 0x16, 0x16, 0x60, 0xf4, 0x60, 0x87, 0x19, 0x44, 0x8c, 0x4a, 0x8b, 0x3e, 0xfb, 0x16, 0x00, 0x00, 0x54, 0xa6, 0x9e, 0x9f, 0xef, 0xcf, 0xd9, 0xd2, 0x4c, 0x74, 0x31, 0xd0, 0x34}}},
+{{{0xa4, 0xeb, 0x04, 0xa4, 0x8c, 0x8f, 0x71, 0x27, 0x95, 0x85, 0x5d, 0x55, 0x4b, 0xb1, 0x26, 0x26, 0xc8, 0xae, 0x6a, 0x7d, 0xa2, 0x21, 0xca, 0xce, 0x38, 0xab, 0x0f, 0xd0, 0xd5, 0x2b, 0x6b, 0x00}} ,
+ {{0xe5, 0x67, 0x0c, 0xf1, 0x3a, 0x9a, 0xea, 0x09, 0x39, 0xef, 0xd1, 0x30, 0xbc, 0x33, 0xba, 0xb1, 0x6a, 0xc5, 0x27, 0x08, 0x7f, 0x54, 0x80, 0x3d, 0xab, 0xf6, 0x15, 0x7a, 0xc2, 0x40, 0x73, 0x72}}},
+{{{0x84, 0x56, 0x82, 0xb6, 0x12, 0x70, 0x7f, 0xf7, 0xf0, 0xbd, 0x5b, 0xa9, 0xd5, 0xc5, 0x5f, 0x59, 0xbf, 0x7f, 0xb3, 0x55, 0x22, 0x02, 0xc9, 0x44, 0x55, 0x87, 0x8f, 0x96, 0x98, 0x64, 0x6d, 0x15}} ,
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+ {{0x6c, 0xba, 0x14, 0xc5, 0xea, 0x12, 0x9e, 0x2e, 0x82, 0x63, 0xce, 0x9b, 0x4a, 0xe7, 0x1d, 0xec, 0xf1, 0x2e, 0x51, 0x1c, 0xf4, 0xd0, 0x69, 0x15, 0x42, 0x9d, 0xa3, 0x3f, 0x0e, 0xbf, 0xe9, 0x5c}}},
+{{{0xe4, 0x0d, 0xf4, 0xbd, 0xee, 0x31, 0x10, 0xed, 0xcb, 0x12, 0x86, 0xad, 0xd4, 0x2f, 0x90, 0x37, 0x32, 0xc3, 0x0b, 0x73, 0xec, 0x97, 0x85, 0xa4, 0x01, 0x1c, 0x76, 0x35, 0xfe, 0x75, 0xdd, 0x71}} ,
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+ {{0x81, 0xfc, 0x55, 0x5c, 0xbf, 0xa7, 0xc4, 0xbd, 0xe2, 0xf0, 0x4b, 0x8f, 0xe9, 0x7d, 0x99, 0xfa, 0xd3, 0xab, 0xbc, 0xc7, 0x83, 0x2b, 0x04, 0x7f, 0x0c, 0x19, 0x43, 0x03, 0x3d, 0x07, 0xca, 0x40}}},
+{{{0xf9, 0xc8, 0xbe, 0x8c, 0x16, 0x81, 0x39, 0x96, 0xf6, 0x17, 0x58, 0xc8, 0x30, 0x58, 0xfb, 0xc2, 0x03, 0x45, 0xd2, 0x52, 0x76, 0xe0, 0x6a, 0x26, 0x28, 0x5c, 0x88, 0x59, 0x6a, 0x5a, 0x54, 0x42}} ,
+ {{0x07, 0xb5, 0x2e, 0x2c, 0x67, 0x15, 0x9b, 0xfb, 0x83, 0x69, 0x1e, 0x0f, 0xda, 0xd6, 0x29, 0xb1, 0x60, 0xe0, 0xb2, 0xba, 0x69, 0xa2, 0x9e, 0xbd, 0xbd, 0xe0, 0x1c, 0xbd, 0xcd, 0x06, 0x64, 0x70}}},
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+ {{0x17, 0x62, 0x6b, 0x14, 0xa1, 0x7c, 0xd0, 0x79, 0x6e, 0xd8, 0x8a, 0xa5, 0x6d, 0x8c, 0x93, 0xd2, 0x3f, 0xec, 0x44, 0x8d, 0x6e, 0x91, 0x01, 0x8c, 0x8f, 0xee, 0x01, 0x8f, 0xc0, 0xb4, 0x85, 0x0e}}},
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+{{{0xcc, 0x21, 0x27, 0xce, 0xfd, 0xa9, 0x94, 0x8e, 0xe1, 0xab, 0x49, 0xe0, 0x46, 0x26, 0xa1, 0xa8, 0x8c, 0xa1, 0x99, 0x1d, 0xb4, 0x27, 0x6d, 0x2d, 0xc8, 0x39, 0x30, 0x5e, 0x37, 0x52, 0xc4, 0x6e}} ,
+ {{0xa9, 0x85, 0xf4, 0xe7, 0xb0, 0x15, 0x33, 0x84, 0x1b, 0x14, 0x1a, 0x02, 0xd9, 0x3b, 0xad, 0x0f, 0x43, 0x6c, 0xea, 0x3e, 0x0f, 0x7e, 0xda, 0xdd, 0x6b, 0x4c, 0x7f, 0x6e, 0xd4, 0x6b, 0xbf, 0x0f}}},
+{{{0x47, 0x9f, 0x7c, 0x56, 0x7c, 0x43, 0x91, 0x1c, 0xbb, 0x4e, 0x72, 0x3e, 0x64, 0xab, 0xa0, 0xa0, 0xdf, 0xb4, 0xd8, 0x87, 0x3a, 0xbd, 0xa8, 0x48, 0xc9, 0xb8, 0xef, 0x2e, 0xad, 0x6f, 0x84, 0x4f}} ,
+ {{0x2d, 0x2d, 0xf0, 0x1b, 0x7e, 0x2a, 0x6c, 0xf8, 0xa9, 0x6a, 0xe1, 0xf0, 0x99, 0xa1, 0x67, 0x9a, 0xd4, 0x13, 0xca, 0xca, 0xba, 0x27, 0x92, 0xaa, 0xa1, 0x5d, 0x50, 0xde, 0xcc, 0x40, 0x26, 0x0a}}},
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
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+{{{0x9f, 0x3e, 0xf2, 0xb2, 0x90, 0xce, 0xdb, 0x64, 0x3e, 0x03, 0xdd, 0x37, 0x36, 0x54, 0x70, 0x76, 0x24, 0xb5, 0x69, 0x03, 0xfc, 0xa0, 0x2b, 0x74, 0xb2, 0x05, 0x0e, 0xcc, 0xd8, 0x1f, 0x6a, 0x1f}} ,
+ {{0x19, 0x5e, 0x60, 0x69, 0x58, 0x86, 0xa0, 0x31, 0xbd, 0x32, 0xe9, 0x2c, 0x5c, 0xd2, 0x85, 0xba, 0x40, 0x64, 0xa8, 0x74, 0xf8, 0x0e, 0x1c, 0xb3, 0xa9, 0x69, 0xe8, 0x1e, 0x40, 0x64, 0x99, 0x77}}},
+{{{0x6c, 0x32, 0x4f, 0xfd, 0xbb, 0x5c, 0xbb, 0x8d, 0x64, 0x66, 0x4a, 0x71, 0x1f, 0x79, 0xa3, 0xad, 0x8d, 0xf9, 0xd4, 0xec, 0xcf, 0x67, 0x70, 0xfa, 0x05, 0x4a, 0x0f, 0x6e, 0xaf, 0x87, 0x0a, 0x6f}} ,
+ {{0xc6, 0x36, 0x6e, 0x6c, 0x8c, 0x24, 0x09, 0x60, 0xbe, 0x26, 0xd2, 0x4c, 0x5e, 0x17, 0xca, 0x5f, 0x1d, 0xcc, 0x87, 0xe8, 0x42, 0x6a, 0xcb, 0xcb, 0x7d, 0x92, 0x05, 0x35, 0x81, 0x13, 0x60, 0x6b}}},
+{{{0xf4, 0x15, 0xcd, 0x0f, 0x0a, 0xaf, 0x4e, 0x6b, 0x51, 0xfd, 0x14, 0xc4, 0x2e, 0x13, 0x86, 0x74, 0x44, 0xcb, 0x66, 0x6b, 0xb6, 0x9d, 0x74, 0x56, 0x32, 0xac, 0x8d, 0x8e, 0x8c, 0x8c, 0x8c, 0x39}} ,
+ {{0xca, 0x59, 0x74, 0x1a, 0x11, 0xef, 0x6d, 0xf7, 0x39, 0x5c, 0x3b, 0x1f, 0xfa, 0xe3, 0x40, 0x41, 0x23, 0x9e, 0xf6, 0xd1, 0x21, 0xa2, 0xbf, 0xad, 0x65, 0x42, 0x6b, 0x59, 0x8a, 0xe8, 0xc5, 0x7f}}},
+{{{0x64, 0x05, 0x7a, 0x84, 0x4a, 0x13, 0xc3, 0xf6, 0xb0, 0x6e, 0x9a, 0x6b, 0x53, 0x6b, 0x32, 0xda, 0xd9, 0x74, 0x75, 0xc4, 0xba, 0x64, 0x3d, 0x3b, 0x08, 0xdd, 0x10, 0x46, 0xef, 0xc7, 0x90, 0x1f}} ,
+ {{0x7b, 0x2f, 0x3a, 0xce, 0xc8, 0xa1, 0x79, 0x3c, 0x30, 0x12, 0x44, 0x28, 0xf6, 0xbc, 0xff, 0xfd, 0xf4, 0xc0, 0x97, 0xb0, 0xcc, 0xc3, 0x13, 0x7a, 0xb9, 0x9a, 0x16, 0xe4, 0xcb, 0x4c, 0x34, 0x63}}},
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+{{{0x07, 0x4e, 0xd3, 0x2d, 0x09, 0x33, 0x0e, 0xd2, 0x0d, 0xbe, 0x3e, 0xe7, 0xe4, 0xaa, 0xb7, 0x00, 0x8b, 0xe8, 0xad, 0xaa, 0x7a, 0x8d, 0x34, 0x28, 0xa9, 0x81, 0x94, 0xc5, 0xe7, 0x42, 0xac, 0x47}} ,
+ {{0x24, 0x89, 0x7a, 0x8f, 0xb5, 0x9b, 0xf0, 0xc2, 0x03, 0x64, 0xd0, 0x1e, 0xf5, 0xa4, 0xb2, 0xf3, 0x74, 0xe9, 0x1a, 0x16, 0xfd, 0xcb, 0x15, 0xea, 0xeb, 0x10, 0x6c, 0x35, 0xd1, 0xc1, 0xa6, 0x28}}},
+{{{0xcc, 0xd5, 0x39, 0xfc, 0xa5, 0xa4, 0xad, 0x32, 0x15, 0xce, 0x19, 0xe8, 0x34, 0x2b, 0x1c, 0x60, 0x91, 0xfc, 0x05, 0xa9, 0xb3, 0xdc, 0x80, 0x29, 0xc4, 0x20, 0x79, 0x06, 0x39, 0xc0, 0xe2, 0x22}} ,
+ {{0xbb, 0xa8, 0xe1, 0x89, 0x70, 0x57, 0x18, 0x54, 0x3c, 0xf6, 0x0d, 0x82, 0x12, 0x05, 0x87, 0x96, 0x06, 0x39, 0xe3, 0xf8, 0xb3, 0x95, 0xe5, 0xd7, 0x26, 0xbf, 0x09, 0x5a, 0x94, 0xf9, 0x1c, 0x63}}},
+{{{0x2b, 0x8c, 0x2d, 0x9a, 0x8b, 0x84, 0xf2, 0x56, 0xfb, 0xad, 0x2e, 0x7f, 0xb7, 0xfc, 0x30, 0xe1, 0x35, 0x89, 0xba, 0x4d, 0xa8, 0x6d, 0xce, 0x8c, 0x8b, 0x30, 0xe0, 0xda, 0x29, 0x18, 0x11, 0x17}} ,
+ {{0x19, 0xa6, 0x5a, 0x65, 0x93, 0xc3, 0xb5, 0x31, 0x22, 0x4f, 0xf3, 0xf6, 0x0f, 0xeb, 0x28, 0xc3, 0x7c, 0xeb, 0xce, 0x86, 0xec, 0x67, 0x76, 0x6e, 0x35, 0x45, 0x7b, 0xd8, 0x6b, 0x92, 0x01, 0x65}}},
+{{{0x3d, 0xd5, 0x9a, 0x64, 0x73, 0x36, 0xb1, 0xd6, 0x86, 0x98, 0x42, 0x3f, 0x8a, 0xf1, 0xc7, 0xf5, 0x42, 0xa8, 0x9c, 0x52, 0xa8, 0xdc, 0xf9, 0x24, 0x3f, 0x4a, 0xa1, 0xa4, 0x5b, 0xe8, 0x62, 0x1a}} ,
+ {{0xc5, 0xbd, 0xc8, 0x14, 0xd5, 0x0d, 0xeb, 0xe1, 0xa5, 0xe6, 0x83, 0x11, 0x09, 0x00, 0x1d, 0x55, 0x83, 0x51, 0x7e, 0x75, 0x00, 0x81, 0xb9, 0xcb, 0xd8, 0xc5, 0xe5, 0xa1, 0xd9, 0x17, 0x6d, 0x1f}}},
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+ {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
+{{{0xea, 0xf9, 0xe4, 0xe9, 0xe1, 0x52, 0x3f, 0x51, 0x19, 0x0d, 0xdd, 0xd9, 0x9d, 0x93, 0x31, 0x87, 0x23, 0x09, 0xd5, 0x83, 0xeb, 0x92, 0x09, 0x76, 0x6e, 0xe3, 0xf8, 0xc0, 0xa2, 0x66, 0xb5, 0x36}} ,
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+{{{0xb2, 0xe7, 0x8f, 0xe3, 0xa3, 0xc5, 0xcb, 0x72, 0xee, 0x79, 0x41, 0xf8, 0xdf, 0xee, 0x65, 0xc5, 0x45, 0x77, 0x27, 0x3c, 0xbd, 0x58, 0xd3, 0x75, 0xe2, 0x04, 0x4b, 0xbb, 0x65, 0xf3, 0xc8, 0x0f}} ,
+ {{0x24, 0x7b, 0x93, 0x34, 0xb5, 0xe2, 0x74, 0x48, 0xcd, 0xa0, 0x0b, 0x92, 0x97, 0x66, 0x39, 0xf4, 0xb0, 0xe2, 0x5d, 0x39, 0x6a, 0x5b, 0x45, 0x17, 0x78, 0x1e, 0xdb, 0x91, 0x81, 0x1c, 0xf9, 0x16}}},
+{{{0x16, 0xdf, 0xd1, 0x5a, 0xd5, 0xe9, 0x4e, 0x58, 0x95, 0x93, 0x5f, 0x51, 0x09, 0xc3, 0x2a, 0xc9, 0xd4, 0x55, 0x48, 0x79, 0xa4, 0xa3, 0xb2, 0xc3, 0x62, 0xaa, 0x8c, 0xe8, 0xad, 0x47, 0x39, 0x1b}} ,
+ {{0x46, 0xda, 0x9e, 0x51, 0x3a, 0xe6, 0xd1, 0xa6, 0xbb, 0x4d, 0x7b, 0x08, 0xbe, 0x8c, 0xd5, 0xf3, 0x3f, 0xfd, 0xf7, 0x44, 0x80, 0x2d, 0x53, 0x4b, 0xd0, 0x87, 0x68, 0xc1, 0xb5, 0xd8, 0xf7, 0x07}}},
+{{{0xf4, 0x10, 0x46, 0xbe, 0xb7, 0xd2, 0xd1, 0xce, 0x5e, 0x76, 0xa2, 0xd7, 0x03, 0xdc, 0xe4, 0x81, 0x5a, 0xf6, 0x3c, 0xde, 0xae, 0x7a, 0x9d, 0x21, 0x34, 0xa5, 0xf6, 0xa9, 0x73, 0xe2, 0x8d, 0x60}} ,
+ {{0xfa, 0x44, 0x71, 0xf6, 0x41, 0xd8, 0xc6, 0x58, 0x13, 0x37, 0xeb, 0x84, 0x0f, 0x96, 0xc7, 0xdc, 0xc8, 0xa9, 0x7a, 0x83, 0xb2, 0x2f, 0x31, 0xb1, 0x1a, 0xd8, 0x98, 0x3f, 0x11, 0xd0, 0x31, 0x3b}}},
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+{{{0x81, 0xd5, 0x34, 0x16, 0x01, 0xa3, 0x93, 0xea, 0x52, 0x94, 0xec, 0x93, 0xb7, 0x81, 0x11, 0x2d, 0x58, 0xf9, 0xb5, 0x0a, 0xaa, 0x4f, 0xf6, 0x2e, 0x3f, 0x36, 0xbf, 0x33, 0x5a, 0xe7, 0xd1, 0x08}} ,
+ {{0x1a, 0xcf, 0x42, 0xae, 0xcc, 0xb5, 0x77, 0x39, 0xc4, 0x5b, 0x5b, 0xd0, 0x26, 0x59, 0x27, 0xd0, 0x55, 0x71, 0x12, 0x9d, 0x88, 0x3d, 0x9c, 0xea, 0x41, 0x6a, 0xf0, 0x50, 0x93, 0x93, 0xdd, 0x47}}},
+{{{0x6f, 0xc9, 0x51, 0x6d, 0x1c, 0xaa, 0xf5, 0xa5, 0x90, 0x3f, 0x14, 0xe2, 0x6e, 0x8e, 0x64, 0xfd, 0xac, 0xe0, 0x4e, 0x22, 0xe5, 0xc1, 0xbc, 0x29, 0x0a, 0x6a, 0x9e, 0xa1, 0x60, 0xcb, 0x2f, 0x0b}} ,
+ {{0xdc, 0x39, 0x32, 0xf3, 0xa1, 0x44, 0xe9, 0xc5, 0xc3, 0x78, 0xfb, 0x95, 0x47, 0x34, 0x35, 0x34, 0xe8, 0x25, 0xde, 0x93, 0xc6, 0xb4, 0x76, 0x6d, 0x86, 0x13, 0xc6, 0xe9, 0x68, 0xb5, 0x01, 0x63}}},
+{{{0x1f, 0x9a, 0x52, 0x64, 0x97, 0xd9, 0x1c, 0x08, 0x51, 0x6f, 0x26, 0x9d, 0xaa, 0x93, 0x33, 0x43, 0xfa, 0x77, 0xe9, 0x62, 0x9b, 0x5d, 0x18, 0x75, 0xeb, 0x78, 0xf7, 0x87, 0x8f, 0x41, 0xb4, 0x4d}} ,
+ {{0x13, 0xa8, 0x82, 0x3e, 0xe9, 0x13, 0xad, 0xeb, 0x01, 0xca, 0xcf, 0xda, 0xcd, 0xf7, 0x6c, 0xc7, 0x7a, 0xdc, 0x1e, 0x6e, 0xc8, 0x4e, 0x55, 0x62, 0x80, 0xea, 0x78, 0x0c, 0x86, 0xb9, 0x40, 0x51}}},
+{{{0x27, 0xae, 0xd3, 0x0d, 0x4c, 0x8f, 0x34, 0xea, 0x7d, 0x3c, 0xe5, 0x8a, 0xcf, 0x5b, 0x92, 0xd8, 0x30, 0x16, 0xb4, 0xa3, 0x75, 0xff, 0xeb, 0x27, 0xc8, 0x5c, 0x6c, 0xc2, 0xee, 0x6c, 0x21, 0x0b}} ,
+ {{0xc3, 0xba, 0x12, 0x53, 0x2a, 0xaa, 0x77, 0xad, 0x19, 0x78, 0x55, 0x8a, 0x2e, 0x60, 0x87, 0xc2, 0x6e, 0x91, 0x38, 0x91, 0x3f, 0x7a, 0xc5, 0x24, 0x8f, 0x51, 0xc5, 0xde, 0xb0, 0x53, 0x30, 0x56}}},
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+ {{0x1e, 0x64, 0xc1, 0x7d, 0x52, 0xdc, 0x13, 0x5a, 0xa1, 0x9c, 0x4e, 0xee, 0x99, 0x28, 0xbb, 0x4c, 0xee, 0xac, 0xa9, 0x1b, 0x89, 0xa2, 0x38, 0x39, 0x7b, 0xc4, 0x0f, 0x42, 0xe6, 0x89, 0xed, 0x0f}}},
+{{{0xf3, 0x3c, 0x8c, 0x80, 0x83, 0x10, 0x8a, 0x37, 0x50, 0x9c, 0xb4, 0xdf, 0x3f, 0x8c, 0xf7, 0x23, 0x07, 0xd6, 0xff, 0xa0, 0x82, 0x6c, 0x75, 0x3b, 0xe4, 0xb5, 0xbb, 0xe4, 0xe6, 0x50, 0xf0, 0x08}} ,
+ {{0x62, 0xee, 0x75, 0x48, 0x92, 0x33, 0xf2, 0xf4, 0xad, 0x15, 0x7a, 0xa1, 0x01, 0x46, 0xa9, 0x32, 0x06, 0x88, 0xb6, 0x36, 0x47, 0x35, 0xb9, 0xb4, 0x42, 0x85, 0x76, 0xf0, 0x48, 0x00, 0x90, 0x38}}},
+{{{0x51, 0x15, 0x9d, 0xc3, 0x95, 0xd1, 0x39, 0xbb, 0x64, 0x9d, 0x15, 0x81, 0xc1, 0x68, 0xd0, 0xb6, 0xa4, 0x2c, 0x7d, 0x5e, 0x02, 0x39, 0x00, 0xe0, 0x3b, 0xa4, 0xcc, 0xca, 0x1d, 0x81, 0x24, 0x10}} ,
+ {{0xe7, 0x29, 0xf9, 0x37, 0xd9, 0x46, 0x5a, 0xcd, 0x70, 0xfe, 0x4d, 0x5b, 0xbf, 0xa5, 0xcf, 0x91, 0xf4, 0xef, 0xee, 0x8a, 0x29, 0xd0, 0xe7, 0xc4, 0x25, 0x92, 0x8a, 0xff, 0x36, 0xfc, 0xe4, 0x49}}},
+{{{0xbd, 0x00, 0xb9, 0x04, 0x7d, 0x35, 0xfc, 0xeb, 0xd0, 0x0b, 0x05, 0x32, 0x52, 0x7a, 0x89, 0x24, 0x75, 0x50, 0xe1, 0x63, 0x02, 0x82, 0x8e, 0xe7, 0x85, 0x0c, 0xf2, 0x56, 0x44, 0x37, 0x83, 0x25}} ,
+ {{0x8f, 0xa1, 0xce, 0xcb, 0x60, 0xda, 0x12, 0x02, 0x1e, 0x29, 0x39, 0x2a, 0x03, 0xb7, 0xeb, 0x77, 0x40, 0xea, 0xc9, 0x2b, 0x2c, 0xd5, 0x7d, 0x7e, 0x2c, 0xc7, 0x5a, 0xfd, 0xff, 0xc4, 0xd1, 0x62}}},
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+ {{0xd3, 0x76, 0x69, 0x33, 0x7b, 0xb9, 0x40, 0x70, 0xee, 0xa6, 0x29, 0x6b, 0xdd, 0xd0, 0x5d, 0x8d, 0xc1, 0x3e, 0x4a, 0xea, 0x37, 0xb1, 0x03, 0x02, 0x03, 0x35, 0xf1, 0x28, 0x9d, 0xff, 0x00, 0x13}}},
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+ {{0x1f, 0x68, 0x76, 0x01, 0x16, 0x38, 0x2b, 0x0f, 0x77, 0x97, 0x92, 0x67, 0x4e, 0x86, 0x6a, 0x8b, 0xe5, 0xe8, 0x0c, 0xf7, 0x36, 0x39, 0xb5, 0x33, 0xe6, 0xcf, 0x5e, 0xbd, 0x18, 0xfb, 0x10, 0x1f}}},
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+{{{0xc0, 0xd7, 0x56, 0x97, 0x58, 0x91, 0xde, 0x09, 0x4f, 0x9f, 0xbe, 0x63, 0xb0, 0x83, 0x86, 0x43, 0x5d, 0xbc, 0xe0, 0xf3, 0xc0, 0x75, 0xbf, 0x8b, 0x8e, 0xaa, 0xf7, 0x8b, 0x64, 0x6e, 0xb0, 0x63}} ,
+ {{0x16, 0xae, 0x8b, 0xe0, 0x9b, 0x24, 0x68, 0x5c, 0x44, 0xc2, 0xd0, 0x08, 0xb7, 0x7b, 0x62, 0xfd, 0x7f, 0xd8, 0xd4, 0xb7, 0x50, 0xfd, 0x2c, 0x1b, 0xbf, 0x41, 0x95, 0xd9, 0x8e, 0xd8, 0x17, 0x1b}}},
+{{{0x86, 0x55, 0x37, 0x8e, 0xc3, 0x38, 0x48, 0x14, 0xb5, 0x97, 0xd2, 0xa7, 0x54, 0x45, 0xf1, 0x35, 0x44, 0x38, 0x9e, 0xf1, 0x1b, 0xb6, 0x34, 0x00, 0x3c, 0x96, 0xee, 0x29, 0x00, 0xea, 0x2c, 0x0b}} ,
+ {{0xea, 0xda, 0x99, 0x9e, 0x19, 0x83, 0x66, 0x6d, 0xe9, 0x76, 0x87, 0x50, 0xd1, 0xfd, 0x3c, 0x60, 0x87, 0xc6, 0x41, 0xd9, 0x8e, 0xdb, 0x5e, 0xde, 0xaa, 0x9a, 0xd3, 0x28, 0xda, 0x95, 0xea, 0x47}}},
+{{{0xd0, 0x80, 0xba, 0x19, 0xae, 0x1d, 0xa9, 0x79, 0xf6, 0x3f, 0xac, 0x5d, 0x6f, 0x96, 0x1f, 0x2a, 0xce, 0x29, 0xb2, 0xff, 0x37, 0xf1, 0x94, 0x8f, 0x0c, 0xb5, 0x28, 0xba, 0x9a, 0x21, 0xf6, 0x66}} ,
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+{{{0xbd, 0xaa, 0x13, 0xe6, 0xcd, 0x45, 0x4a, 0xa4, 0x59, 0x0a, 0x64, 0xb1, 0x98, 0xd6, 0x34, 0x13, 0x04, 0xe6, 0x97, 0x94, 0x06, 0xcb, 0xd4, 0x4e, 0xbb, 0x96, 0xcd, 0xd1, 0x57, 0xd1, 0xe3, 0x06}} ,
+ {{0x7a, 0x6c, 0x45, 0x27, 0xc4, 0x93, 0x7f, 0x7d, 0x7c, 0x62, 0x50, 0x38, 0x3a, 0x6b, 0xb5, 0x88, 0xc6, 0xd9, 0xf1, 0x78, 0x19, 0xb9, 0x39, 0x93, 0x3d, 0xc9, 0xe0, 0x9c, 0x3c, 0xce, 0xf5, 0x72}}},
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+ {{0x61, 0x2e, 0xc2, 0xdd, 0x95, 0x57, 0xd1, 0xab, 0x80, 0xe8, 0x63, 0x17, 0xb5, 0x48, 0xe4, 0x8a, 0x11, 0x9e, 0x72, 0xbe, 0x85, 0x8d, 0x51, 0x0a, 0xf2, 0x9f, 0xe0, 0x1c, 0xa9, 0x07, 0x28, 0x7b}}},
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+ {{0x4e, 0x3b, 0x69, 0xc8, 0x43, 0x75, 0x51, 0x6c, 0x79, 0x56, 0xe4, 0xcb, 0xf7, 0xa6, 0x51, 0xc2, 0x2c, 0x42, 0x0b, 0xd4, 0x82, 0x20, 0x1c, 0x01, 0x08, 0x66, 0xd7, 0xbf, 0x04, 0x56, 0xfc, 0x02}}},
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+ {{0xf5, 0xfb, 0x90, 0x2d, 0x81, 0x19, 0x9e, 0x2f, 0x6d, 0x85, 0x88, 0x8c, 0x40, 0x5c, 0x77, 0x41, 0x4d, 0x01, 0x19, 0x76, 0x60, 0xe8, 0x4c, 0x48, 0xe4, 0x33, 0x83, 0x32, 0x6c, 0xb4, 0x41, 0x03}}},
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+ {{0xf6, 0x96, 0xca, 0x2f, 0xda, 0x38, 0xa7, 0x1b, 0xfc, 0xca, 0x7d, 0xfe, 0x08, 0x89, 0xe2, 0x47, 0x2b, 0x6a, 0x5d, 0x4b, 0xfa, 0xa1, 0xb4, 0xde, 0xb6, 0xc2, 0x31, 0x51, 0xf5, 0xe0, 0xa4, 0x0b}}},
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+ {{0x6f, 0x4d, 0x17, 0xd7, 0xe1, 0x84, 0xd9, 0x78, 0xb1, 0x90, 0xfd, 0x2e, 0xb3, 0xb5, 0x19, 0x3f, 0x1b, 0xfa, 0xc0, 0x68, 0xb3, 0xdd, 0x00, 0x2e, 0x89, 0xbd, 0x7e, 0x80, 0x32, 0x13, 0xa0, 0x7b}}},
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+ {{0x01, 0xb8, 0xd6, 0x16, 0x67, 0xa0, 0x15, 0xb9, 0xe1, 0x58, 0xa4, 0xa7, 0x31, 0x37, 0x77, 0x2f, 0x8b, 0x12, 0x9f, 0xf4, 0x3f, 0xc7, 0x36, 0x66, 0xd2, 0xa8, 0x56, 0xf7, 0x7f, 0x74, 0xc6, 0x41}}},
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+{{{0x55, 0x60, 0x55, 0x5b, 0xe4, 0x1d, 0x71, 0x4c, 0x9d, 0x5b, 0x9f, 0x70, 0xa6, 0x85, 0x9a, 0x2c, 0xa0, 0xe2, 0x32, 0x48, 0xce, 0x9e, 0x2a, 0xa5, 0x07, 0x3b, 0xc7, 0x6c, 0x86, 0x77, 0xde, 0x3c}} ,
+ {{0xf7, 0x18, 0x7a, 0x96, 0x7e, 0x43, 0x57, 0xa9, 0x55, 0xfc, 0x4e, 0xb6, 0x72, 0x00, 0xf2, 0xe4, 0xd7, 0x52, 0xd3, 0xd3, 0xb6, 0x85, 0xf6, 0x71, 0xc7, 0x44, 0x3f, 0x7f, 0xd7, 0xb3, 0xf2, 0x79}}},
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+ {{0x90, 0xd7, 0xc5, 0x26, 0x08, 0xbd, 0xb0, 0x53, 0x63, 0x58, 0xc3, 0x31, 0x5e, 0x75, 0x46, 0x15, 0x91, 0xa6, 0xf8, 0x2f, 0x1a, 0x08, 0x65, 0x88, 0x2f, 0x98, 0x04, 0xf1, 0x7c, 0x6e, 0x00, 0x77}}},
+{{{0x81, 0x21, 0x61, 0x09, 0xf6, 0x4e, 0xf1, 0x92, 0xee, 0x63, 0x61, 0x73, 0x87, 0xc7, 0x54, 0x0e, 0x42, 0x4b, 0xc9, 0x47, 0xd1, 0xb8, 0x7e, 0x91, 0x75, 0x37, 0x99, 0x28, 0xb8, 0xdd, 0x7f, 0x50}} ,
+ {{0x89, 0x8f, 0xc0, 0xbe, 0x5d, 0xd6, 0x9f, 0xa0, 0xf0, 0x9d, 0x81, 0xce, 0x3a, 0x7b, 0x98, 0x58, 0xbb, 0xd7, 0x78, 0xc8, 0x3f, 0x13, 0xf1, 0x74, 0x19, 0xdf, 0xf8, 0x98, 0x89, 0x5d, 0xfa, 0x5f}}},
+{{{0x9e, 0x35, 0x85, 0x94, 0x47, 0x1f, 0x90, 0x15, 0x26, 0xd0, 0x84, 0xed, 0x8a, 0x80, 0xf7, 0x63, 0x42, 0x86, 0x27, 0xd7, 0xf4, 0x75, 0x58, 0xdc, 0x9c, 0xc0, 0x22, 0x7e, 0x20, 0x35, 0xfd, 0x1f}} ,
+ {{0x68, 0x0e, 0x6f, 0x97, 0xba, 0x70, 0xbb, 0xa3, 0x0e, 0xe5, 0x0b, 0x12, 0xf4, 0xa2, 0xdc, 0x47, 0xf8, 0xe6, 0xd0, 0x23, 0x6c, 0x33, 0xa8, 0x99, 0x46, 0x6e, 0x0f, 0x44, 0xba, 0x76, 0x48, 0x0f}}},
+{{{0xa3, 0x2a, 0x61, 0x37, 0xe2, 0x59, 0x12, 0x0e, 0x27, 0xba, 0x64, 0x43, 0xae, 0xc0, 0x42, 0x69, 0x79, 0xa4, 0x1e, 0x29, 0x8b, 0x15, 0xeb, 0xf8, 0xaf, 0xd4, 0xa2, 0x68, 0x33, 0xb5, 0x7a, 0x24}} ,
+ {{0x2c, 0x19, 0x33, 0xdd, 0x1b, 0xab, 0xec, 0x01, 0xb0, 0x23, 0xf8, 0x42, 0x2b, 0x06, 0x88, 0xea, 0x3d, 0x2d, 0x00, 0x2a, 0x78, 0x45, 0x4d, 0x38, 0xed, 0x2e, 0x2e, 0x44, 0x49, 0xed, 0xcb, 0x33}}},
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+ {{0x3f, 0x60, 0xc1, 0x82, 0x2d, 0xa3, 0x28, 0x58, 0x24, 0x9e, 0x9f, 0xe3, 0x70, 0xcc, 0x09, 0x4e, 0x1a, 0x3f, 0x11, 0x11, 0x15, 0x07, 0x3c, 0xa4, 0x41, 0xe0, 0x65, 0xa3, 0x0a, 0x41, 0x6d, 0x11}}},
+{{{0x31, 0x40, 0x01, 0x52, 0x56, 0x94, 0x5b, 0x28, 0x8a, 0xaa, 0x52, 0xee, 0xd8, 0x0a, 0x05, 0x8d, 0xcd, 0xb5, 0xaa, 0x2e, 0x38, 0xaa, 0xb7, 0x87, 0xf7, 0x2b, 0xfb, 0x04, 0xcb, 0x84, 0x3d, 0x54}} ,
+ {{0x20, 0xef, 0x59, 0xde, 0xa4, 0x2b, 0x93, 0x6e, 0x2e, 0xec, 0x42, 0x9a, 0xd4, 0x2d, 0xf4, 0x46, 0x58, 0x27, 0x2b, 0x18, 0x8f, 0x83, 0x3d, 0x69, 0x9e, 0xd4, 0x3e, 0xb6, 0xc5, 0xfd, 0x58, 0x03}}},
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+ {{0x32, 0xb4, 0x18, 0x47, 0x79, 0xcb, 0xd4, 0x5a, 0x07, 0x14, 0x0f, 0xa0, 0xd5, 0xac, 0xd0, 0x41, 0x40, 0xab, 0x61, 0x23, 0xe5, 0x2a, 0x2a, 0x6f, 0xf7, 0xa8, 0xd4, 0x76, 0xef, 0xe7, 0x45, 0x6c}}},
+{{{0xa1, 0x5e, 0x60, 0x4f, 0xfb, 0xe1, 0x70, 0x6a, 0x1f, 0x55, 0x4f, 0x09, 0xb4, 0x95, 0x33, 0x36, 0xc6, 0x81, 0x01, 0x18, 0x06, 0x25, 0x27, 0xa4, 0xb4, 0x24, 0xa4, 0x86, 0x03, 0x4c, 0xac, 0x02}} ,
+ {{0x77, 0x38, 0xde, 0xd7, 0x60, 0x48, 0x07, 0xf0, 0x74, 0xa8, 0xff, 0x54, 0xe5, 0x30, 0x43, 0xff, 0x77, 0xfb, 0x21, 0x07, 0xff, 0xb2, 0x07, 0x6b, 0xe4, 0xe5, 0x30, 0xfc, 0x19, 0x6c, 0xa3, 0x01}}},
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+{{{0xd4, 0xca, 0x70, 0x3d, 0xab, 0xfb, 0x5f, 0x5e, 0x00, 0x0c, 0xcc, 0x77, 0x22, 0xf8, 0x78, 0x55, 0xae, 0x62, 0x35, 0xfb, 0x9a, 0xc6, 0x03, 0xe4, 0x0c, 0xee, 0xab, 0xc7, 0xc0, 0x89, 0x87, 0x54}} ,
+ {{0x32, 0xad, 0xae, 0x85, 0x58, 0x43, 0xb8, 0xb1, 0xe6, 0x3e, 0x00, 0x9c, 0x78, 0x88, 0x56, 0xdb, 0x9c, 0xfc, 0x79, 0xf6, 0xf9, 0x41, 0x5f, 0xb7, 0xbc, 0x11, 0xf9, 0x20, 0x36, 0x1c, 0x53, 0x2b}}},
+{{{0x5a, 0x20, 0x5b, 0xa1, 0xa5, 0x44, 0x91, 0x24, 0x02, 0x63, 0x12, 0x64, 0xb8, 0x55, 0xf6, 0xde, 0x2c, 0xdb, 0x47, 0xb8, 0xc6, 0x0a, 0xc3, 0x00, 0x78, 0x93, 0xd8, 0xf5, 0xf5, 0x18, 0x28, 0x0a}} ,
+ {{0xd6, 0x1b, 0x9a, 0x6c, 0xe5, 0x46, 0xea, 0x70, 0x96, 0x8d, 0x4e, 0x2a, 0x52, 0x21, 0x26, 0x4b, 0xb1, 0xbb, 0x0f, 0x7c, 0xa9, 0x9b, 0x04, 0xbb, 0x51, 0x08, 0xf1, 0x9a, 0xa4, 0x76, 0x7c, 0x18}}},
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+{{{0xfa, 0x94, 0xf7, 0x40, 0xd0, 0xd7, 0xeb, 0xa9, 0x82, 0x36, 0xd5, 0x15, 0xb9, 0x33, 0x7a, 0xbf, 0x8a, 0xf2, 0x63, 0xaa, 0x37, 0xf5, 0x59, 0xac, 0xbd, 0xbb, 0x32, 0x36, 0xbe, 0x73, 0x99, 0x38}} ,
+ {{0x2c, 0xb3, 0xda, 0x7a, 0xd8, 0x3d, 0x99, 0xca, 0xd2, 0xf4, 0xda, 0x99, 0x8e, 0x4f, 0x98, 0xb7, 0xf4, 0xae, 0x3e, 0x9f, 0x8e, 0x35, 0x60, 0xa4, 0x33, 0x75, 0xa4, 0x04, 0x93, 0xb1, 0x6b, 0x4d}}},
+{{{0x97, 0x9d, 0xa8, 0xcd, 0x97, 0x7b, 0x9d, 0xb9, 0xe7, 0xa5, 0xef, 0xfd, 0xa8, 0x42, 0x6b, 0xc3, 0x62, 0x64, 0x7d, 0xa5, 0x1b, 0xc9, 0x9e, 0xd2, 0x45, 0xb9, 0xee, 0x03, 0xb0, 0xbf, 0xc0, 0x68}} ,
+ {{0xed, 0xb7, 0x84, 0x2c, 0xf6, 0xd3, 0xa1, 0x6b, 0x24, 0x6d, 0x87, 0x56, 0x97, 0x59, 0x79, 0x62, 0x9f, 0xac, 0xed, 0xf3, 0xc9, 0x89, 0x21, 0x2e, 0x04, 0xb3, 0xcc, 0x2f, 0xbe, 0xd6, 0x0a, 0x4b}}},
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+ {{0x53, 0xcf, 0xc2, 0xa1, 0xad, 0x6a, 0xf3, 0xcd, 0x8f, 0xc9, 0xde, 0x1c, 0xf8, 0x6c, 0x8f, 0xf8, 0x76, 0x42, 0xe7, 0xfe, 0xb2, 0x72, 0x21, 0x0a, 0x66, 0x74, 0x8f, 0xb7, 0xeb, 0xe4, 0x6f, 0x01}}},
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+ {{0x53, 0x88, 0x77, 0x02, 0xca, 0x27, 0xa8, 0xe5, 0x45, 0xe2, 0xa8, 0x48, 0x2a, 0xab, 0x18, 0xca, 0xea, 0x2d, 0x2a, 0x54, 0x17, 0x37, 0x32, 0x09, 0xdc, 0xe0, 0x4a, 0xb7, 0x7d, 0x82, 0x10, 0x7d}}},
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+ {{0xb9, 0xb1, 0xe7, 0x5d, 0x4e, 0xbc, 0xee, 0xbb, 0x40, 0x81, 0x77, 0x82, 0x19, 0xab, 0xb5, 0xc6, 0xee, 0xab, 0x5b, 0x6b, 0x63, 0x92, 0x8a, 0x34, 0x8d, 0xcd, 0xee, 0x4f, 0x49, 0xe5, 0xc9, 0x7e}}},
+{{{0x21, 0xac, 0x8b, 0x22, 0xcd, 0xc3, 0x9a, 0xe9, 0x5e, 0x78, 0xbd, 0xde, 0xba, 0xad, 0xab, 0xbf, 0x75, 0x41, 0x09, 0xc5, 0x58, 0xa4, 0x7d, 0x92, 0xb0, 0x7f, 0xf2, 0xa1, 0xd1, 0xc0, 0xb3, 0x6d}} ,
+ {{0x62, 0x4f, 0xd0, 0x75, 0x77, 0xba, 0x76, 0x77, 0xd7, 0xb8, 0xd8, 0x92, 0x6f, 0x98, 0x34, 0x3d, 0xd6, 0x4e, 0x1c, 0x0f, 0xf0, 0x8f, 0x2e, 0xf1, 0xb3, 0xbd, 0xb1, 0xb9, 0xec, 0x99, 0xb4, 0x07}}},
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+ {{0xc2, 0xfe, 0x1b, 0x0c, 0x67, 0xcd, 0xd6, 0xe0, 0x51, 0x8e, 0x2c, 0xe0, 0x79, 0x88, 0xf0, 0xcf, 0x41, 0x4a, 0xad, 0x23, 0xd4, 0x46, 0xca, 0x94, 0xa1, 0xc3, 0xeb, 0x28, 0x06, 0xfa, 0x17, 0x14}}},
+{{{0x7b, 0xaa, 0x70, 0x0a, 0x4b, 0xfb, 0xf5, 0xbf, 0x80, 0xc5, 0xcf, 0x08, 0x7a, 0xdd, 0xa1, 0xf4, 0x9d, 0x54, 0x50, 0x53, 0x23, 0x77, 0x23, 0xf5, 0x34, 0xa5, 0x22, 0xd1, 0x0d, 0x96, 0x2e, 0x47}} ,
+ {{0xcc, 0xb7, 0x32, 0x89, 0x57, 0xd0, 0x98, 0x75, 0xe4, 0x37, 0x99, 0xa9, 0xe8, 0xba, 0xed, 0xba, 0xeb, 0xc7, 0x4f, 0x15, 0x76, 0x07, 0x0c, 0x4c, 0xef, 0x9f, 0x52, 0xfc, 0x04, 0x5d, 0x58, 0x10}}},
+{{{0xce, 0x82, 0xf0, 0x8f, 0x79, 0x02, 0xa8, 0xd1, 0xda, 0x14, 0x09, 0x48, 0xee, 0x8a, 0x40, 0x98, 0x76, 0x60, 0x54, 0x5a, 0xde, 0x03, 0x24, 0xf5, 0xe6, 0x2f, 0xe1, 0x03, 0xbf, 0x68, 0x82, 0x7f}} ,
+ {{0x64, 0xe9, 0x28, 0xc7, 0xa4, 0xcf, 0x2a, 0xf9, 0x90, 0x64, 0x72, 0x2c, 0x8b, 0xeb, 0xec, 0xa0, 0xf2, 0x7d, 0x35, 0xb5, 0x90, 0x4d, 0x7f, 0x5b, 0x4a, 0x49, 0xe4, 0xb8, 0x3b, 0xc8, 0xa1, 0x2f}}},
+{{{0x8b, 0xc5, 0xcc, 0x3d, 0x69, 0xa6, 0xa1, 0x18, 0x44, 0xbc, 0x4d, 0x77, 0x37, 0xc7, 0x86, 0xec, 0x0c, 0xc9, 0xd6, 0x44, 0xa9, 0x23, 0x27, 0xb9, 0x03, 0x34, 0xa7, 0x0a, 0xd5, 0xc7, 0x34, 0x37}} ,
+ {{0xf9, 0x7e, 0x3e, 0x66, 0xee, 0xf9, 0x99, 0x28, 0xff, 0xad, 0x11, 0xd8, 0xe2, 0x66, 0xc5, 0xcd, 0x0f, 0x0d, 0x0b, 0x6a, 0xfc, 0x7c, 0x24, 0xa8, 0x4f, 0xa8, 0x5e, 0x80, 0x45, 0x8b, 0x6c, 0x41}}},
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+ {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
+{{{0xef, 0x1e, 0xec, 0xf7, 0x8d, 0x77, 0xf2, 0xea, 0xdb, 0x60, 0x03, 0x21, 0xc0, 0xff, 0x5e, 0x67, 0xc3, 0x71, 0x0b, 0x21, 0xb4, 0x41, 0xa0, 0x68, 0x38, 0xc6, 0x01, 0xa3, 0xd3, 0x51, 0x3c, 0x3c}} ,
+ {{0x92, 0xf8, 0xd6, 0x4b, 0xef, 0x42, 0x13, 0xb2, 0x4a, 0xc4, 0x2e, 0x72, 0x3f, 0xc9, 0x11, 0xbd, 0x74, 0x02, 0x0e, 0xf5, 0x13, 0x9d, 0x83, 0x1a, 0x1b, 0xd5, 0x54, 0xde, 0xc4, 0x1e, 0x16, 0x6c}}},
+{{{0x27, 0x52, 0xe4, 0x63, 0xaa, 0x94, 0xe6, 0xc3, 0x28, 0x9c, 0xc6, 0x56, 0xac, 0xfa, 0xb6, 0xbd, 0xe2, 0xcc, 0x76, 0xc6, 0x27, 0x27, 0xa2, 0x8e, 0x78, 0x2b, 0x84, 0x72, 0x10, 0xbd, 0x4e, 0x2a}} ,
+ {{0xea, 0xa7, 0x23, 0xef, 0x04, 0x61, 0x80, 0x50, 0xc9, 0x6e, 0xa5, 0x96, 0xd1, 0xd1, 0xc8, 0xc3, 0x18, 0xd7, 0x2d, 0xfd, 0x26, 0xbd, 0xcb, 0x7b, 0x92, 0x51, 0x0e, 0x4a, 0x65, 0x57, 0xb8, 0x49}}},
+{{{0xab, 0x55, 0x36, 0xc3, 0xec, 0x63, 0x55, 0x11, 0x55, 0xf6, 0xa5, 0xc7, 0x01, 0x5f, 0xfe, 0x79, 0xd8, 0x0a, 0xf7, 0x03, 0xd8, 0x98, 0x99, 0xf5, 0xd0, 0x00, 0x54, 0x6b, 0x66, 0x28, 0xf5, 0x25}} ,
+ {{0x7a, 0x8d, 0xa1, 0x5d, 0x70, 0x5d, 0x51, 0x27, 0xee, 0x30, 0x65, 0x56, 0x95, 0x46, 0xde, 0xbd, 0x03, 0x75, 0xb4, 0x57, 0x59, 0x89, 0xeb, 0x02, 0x9e, 0xcc, 0x89, 0x19, 0xa7, 0xcb, 0x17, 0x67}}},
+{{{0x6a, 0xeb, 0xfc, 0x9a, 0x9a, 0x10, 0xce, 0xdb, 0x3a, 0x1c, 0x3c, 0x6a, 0x9d, 0xea, 0x46, 0xbc, 0x45, 0x49, 0xac, 0xe3, 0x41, 0x12, 0x7c, 0xf0, 0xf7, 0x4f, 0xf9, 0xf7, 0xff, 0x2c, 0x89, 0x04}} ,
+ {{0x30, 0x31, 0x54, 0x1a, 0x46, 0xca, 0xe6, 0xc6, 0xcb, 0xe2, 0xc3, 0xc1, 0x8b, 0x75, 0x81, 0xbe, 0xee, 0xf8, 0xa3, 0x11, 0x1c, 0x25, 0xa3, 0xa7, 0x35, 0x51, 0x55, 0xe2, 0x25, 0xaa, 0xe2, 0x3a}}},
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+{{{0xb4, 0x48, 0x10, 0x9f, 0x8a, 0x09, 0x76, 0xfa, 0xf0, 0x7a, 0xb0, 0x70, 0xf7, 0x83, 0x80, 0x52, 0x84, 0x2b, 0x26, 0xa2, 0xc4, 0x5d, 0x4f, 0xba, 0xb1, 0xc8, 0x40, 0x0d, 0x78, 0x97, 0xc4, 0x60}} ,
+ {{0xd4, 0xb1, 0x6c, 0x08, 0xc7, 0x40, 0x38, 0x73, 0x5f, 0x0b, 0xf3, 0x76, 0x5d, 0xb2, 0xa5, 0x2f, 0x57, 0x57, 0x07, 0xed, 0x08, 0xa2, 0x6c, 0x4f, 0x08, 0x02, 0xb5, 0x0e, 0xee, 0x44, 0xfa, 0x22}}},
+{{{0x0f, 0x00, 0x3f, 0xa6, 0x04, 0x19, 0x56, 0x65, 0x31, 0x7f, 0x8b, 0xeb, 0x0d, 0xe1, 0x47, 0x89, 0x97, 0x16, 0x53, 0xfa, 0x81, 0xa7, 0xaa, 0xb2, 0xbf, 0x67, 0xeb, 0x72, 0x60, 0x81, 0x0d, 0x48}} ,
+ {{0x7e, 0x13, 0x33, 0xcd, 0xa8, 0x84, 0x56, 0x1e, 0x67, 0xaf, 0x6b, 0x43, 0xac, 0x17, 0xaf, 0x16, 0xc0, 0x52, 0x99, 0x49, 0x5b, 0x87, 0x73, 0x7e, 0xb5, 0x43, 0xda, 0x6b, 0x1d, 0x0f, 0x2d, 0x55}}},
+{{{0xe9, 0x58, 0x1f, 0xff, 0x84, 0x3f, 0x93, 0x1c, 0xcb, 0xe1, 0x30, 0x69, 0xa5, 0x75, 0x19, 0x7e, 0x14, 0x5f, 0xf8, 0xfc, 0x09, 0xdd, 0xa8, 0x78, 0x9d, 0xca, 0x59, 0x8b, 0xd1, 0x30, 0x01, 0x13}} ,
+ {{0xff, 0x76, 0x03, 0xc5, 0x4b, 0x89, 0x99, 0x70, 0x00, 0x59, 0x70, 0x9c, 0xd5, 0xd9, 0x11, 0x89, 0x5a, 0x46, 0xfe, 0xef, 0xdc, 0xd9, 0x55, 0x2b, 0x45, 0xa7, 0xb0, 0x2d, 0xfb, 0x24, 0xc2, 0x29}}},
+{{{0x38, 0x06, 0xf8, 0x0b, 0xac, 0x82, 0xc4, 0x97, 0x2b, 0x90, 0xe0, 0xf7, 0xa8, 0xab, 0x6c, 0x08, 0x80, 0x66, 0x90, 0x46, 0xf7, 0x26, 0x2d, 0xf8, 0xf1, 0xc4, 0x6b, 0x4a, 0x82, 0x98, 0x8e, 0x37}} ,
+ {{0x8e, 0xb4, 0xee, 0xb8, 0xd4, 0x3f, 0xb2, 0x1b, 0xe0, 0x0a, 0x3d, 0x75, 0x34, 0x28, 0xa2, 0x8e, 0xc4, 0x92, 0x7b, 0xfe, 0x60, 0x6e, 0x6d, 0xb8, 0x31, 0x1d, 0x62, 0x0d, 0x78, 0x14, 0x42, 0x11}}},
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+ {{0x4d, 0xe3, 0x7e, 0x38, 0x62, 0x5e, 0x64, 0xbb, 0x2b, 0x53, 0xb5, 0x03, 0x68, 0xc4, 0xf2, 0x2b, 0x5a, 0x03, 0x32, 0x99, 0x4a, 0x41, 0x9a, 0xe1, 0x1a, 0xae, 0x8c, 0x48, 0xf3, 0x24, 0x32, 0x65}}},
+{{{0xe8, 0xdd, 0xad, 0x3a, 0x8c, 0xea, 0xf4, 0xb3, 0xb2, 0xe5, 0x73, 0xf2, 0xed, 0x8b, 0xbf, 0xed, 0xb1, 0x0c, 0x0c, 0xfb, 0x2b, 0xf1, 0x01, 0x48, 0xe8, 0x26, 0x03, 0x8e, 0x27, 0x4d, 0x96, 0x72}} ,
+ {{0xc8, 0x09, 0x3b, 0x60, 0xc9, 0x26, 0x4d, 0x7c, 0xf2, 0x9c, 0xd4, 0xa1, 0x3b, 0x26, 0xc2, 0x04, 0x33, 0x44, 0x76, 0x3c, 0x02, 0xbb, 0x11, 0x42, 0x0c, 0x22, 0xb7, 0xc6, 0xe1, 0xac, 0xb4, 0x0e}}},
+{{{0x6f, 0x85, 0xe7, 0xef, 0xde, 0x67, 0x30, 0xfc, 0xbf, 0x5a, 0xe0, 0x7b, 0x7a, 0x2a, 0x54, 0x6b, 0x5d, 0x62, 0x85, 0xa1, 0xf8, 0x16, 0x88, 0xec, 0x61, 0xb9, 0x96, 0xb5, 0xef, 0x2d, 0x43, 0x4d}} ,
+ {{0x7c, 0x31, 0x33, 0xcc, 0xe4, 0xcf, 0x6c, 0xff, 0x80, 0x47, 0x77, 0xd1, 0xd8, 0xe9, 0x69, 0x97, 0x98, 0x7f, 0x20, 0x57, 0x1d, 0x1d, 0x4f, 0x08, 0x27, 0xc8, 0x35, 0x57, 0x40, 0xc6, 0x21, 0x0c}}},
+{{{0xd2, 0x8e, 0x9b, 0xfa, 0x42, 0x8e, 0xdf, 0x8f, 0xc7, 0x86, 0xf9, 0xa4, 0xca, 0x70, 0x00, 0x9d, 0x21, 0xbf, 0xec, 0x57, 0x62, 0x30, 0x58, 0x8c, 0x0d, 0x35, 0xdb, 0x5d, 0x8b, 0x6a, 0xa0, 0x5a}} ,
+ {{0xc1, 0x58, 0x7c, 0x0d, 0x20, 0xdd, 0x11, 0x26, 0x5f, 0x89, 0x3b, 0x97, 0x58, 0xf8, 0x8b, 0xe3, 0xdf, 0x32, 0xe2, 0xfc, 0xd8, 0x67, 0xf2, 0xa5, 0x37, 0x1e, 0x6d, 0xec, 0x7c, 0x27, 0x20, 0x79}}},
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+{{{0xd0, 0xe9, 0xc0, 0xfa, 0x95, 0x45, 0x23, 0x96, 0xf1, 0x2c, 0x79, 0x25, 0x14, 0xce, 0x40, 0x14, 0x44, 0x2c, 0x36, 0x50, 0xd9, 0x63, 0x56, 0xb7, 0x56, 0x3b, 0x9e, 0xa7, 0xef, 0x89, 0xbb, 0x0e}} ,
+ {{0xce, 0x7f, 0xdc, 0x0a, 0xcc, 0x82, 0x1c, 0x0a, 0x78, 0x71, 0xe8, 0x74, 0x8d, 0x01, 0x30, 0x0f, 0xa7, 0x11, 0x4c, 0xdf, 0x38, 0xd7, 0xa7, 0x0d, 0xf8, 0x48, 0x52, 0x00, 0x80, 0x7b, 0x5f, 0x0e}}},
+{{{0x25, 0x83, 0xe6, 0x94, 0x7b, 0x81, 0xb2, 0x91, 0xae, 0x0e, 0x05, 0xc9, 0xa3, 0x68, 0x2d, 0xd9, 0x88, 0x25, 0x19, 0x2a, 0x61, 0x61, 0x21, 0x97, 0x15, 0xa1, 0x35, 0xa5, 0x46, 0xc8, 0xa2, 0x0e}} ,
+ {{0x1b, 0x03, 0x0d, 0x8b, 0x5a, 0x1b, 0x97, 0x4b, 0xf2, 0x16, 0x31, 0x3d, 0x1f, 0x33, 0xa0, 0x50, 0x3a, 0x18, 0xbe, 0x13, 0xa1, 0x76, 0xc1, 0xba, 0x1b, 0xf1, 0x05, 0x7b, 0x33, 0xa8, 0x82, 0x3b}}},
+{{{0xba, 0x36, 0x7b, 0x6d, 0xa9, 0xea, 0x14, 0x12, 0xc5, 0xfa, 0x91, 0x00, 0xba, 0x9b, 0x99, 0xcc, 0x56, 0x02, 0xe9, 0xa0, 0x26, 0x40, 0x66, 0x8c, 0xc4, 0xf8, 0x85, 0x33, 0x68, 0xe7, 0x03, 0x20}} ,
+ {{0x50, 0x5b, 0xff, 0xa9, 0xb2, 0xf1, 0xf1, 0x78, 0xcf, 0x14, 0xa4, 0xa9, 0xfc, 0x09, 0x46, 0x94, 0x54, 0x65, 0x0d, 0x9c, 0x5f, 0x72, 0x21, 0xe2, 0x97, 0xa5, 0x2d, 0x81, 0xce, 0x4a, 0x5f, 0x79}}},
+{{{0x3d, 0x5f, 0x5c, 0xd2, 0xbc, 0x7d, 0x77, 0x0e, 0x2a, 0x6d, 0x22, 0x45, 0x84, 0x06, 0xc4, 0xdd, 0xc6, 0xa6, 0xc6, 0xd7, 0x49, 0xad, 0x6d, 0x87, 0x91, 0x0e, 0x3a, 0x67, 0x1d, 0x2c, 0x1d, 0x56}} ,
+ {{0xfe, 0x7a, 0x74, 0xcf, 0xd4, 0xd2, 0xe5, 0x19, 0xde, 0xd0, 0xdb, 0x70, 0x23, 0x69, 0xe6, 0x6d, 0xec, 0xec, 0xcc, 0x09, 0x33, 0x6a, 0x77, 0xdc, 0x6b, 0x22, 0x76, 0x5d, 0x92, 0x09, 0xac, 0x2d}}},
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+ {{0x11, 0xce, 0xbf, 0xb6, 0x77, 0x2d, 0x48, 0x22, 0x18, 0x4f, 0xa3, 0x5d, 0x4a, 0xb0, 0x70, 0x12, 0x3e, 0x54, 0xd7, 0xd8, 0x0e, 0x2b, 0x27, 0xdc, 0x53, 0xff, 0xca, 0x8c, 0x59, 0xb3, 0x4e, 0x44}}},
+{{{0x07, 0x76, 0x61, 0x0f, 0x66, 0xb2, 0x21, 0x39, 0x7e, 0xc0, 0xec, 0x45, 0x28, 0x82, 0xa1, 0x29, 0x32, 0x44, 0x35, 0x13, 0x5e, 0x61, 0x5e, 0x54, 0xcb, 0x7c, 0xef, 0xf6, 0x41, 0xcf, 0x9f, 0x0a}} ,
+ {{0xdd, 0xf9, 0xda, 0x84, 0xc3, 0xe6, 0x8a, 0x9f, 0x24, 0xd2, 0x96, 0x5d, 0x39, 0x6f, 0x58, 0x8c, 0xc1, 0x56, 0x93, 0xab, 0xb5, 0x79, 0x3b, 0xd2, 0xa8, 0x73, 0x16, 0xed, 0xfa, 0xb4, 0x2f, 0x73}}},
+{{{0x8b, 0xb1, 0x95, 0xe5, 0x92, 0x50, 0x35, 0x11, 0x76, 0xac, 0xf4, 0x4d, 0x24, 0xc3, 0x32, 0xe6, 0xeb, 0xfe, 0x2c, 0x87, 0xc4, 0xf1, 0x56, 0xc4, 0x75, 0x24, 0x7a, 0x56, 0x85, 0x5a, 0x3a, 0x13}} ,
+ {{0x0d, 0x16, 0xac, 0x3c, 0x4a, 0x58, 0x86, 0x3a, 0x46, 0x7f, 0x6c, 0xa3, 0x52, 0x6e, 0x37, 0xe4, 0x96, 0x9c, 0xe9, 0x5c, 0x66, 0x41, 0x67, 0xe4, 0xfb, 0x79, 0x0c, 0x05, 0xf6, 0x64, 0xd5, 0x7c}}},
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+ {{0xf7, 0xd5, 0xe9, 0x74, 0x5d, 0xb8, 0x25, 0x16, 0xb5, 0x30, 0xbc, 0x84, 0xc5, 0xf0, 0xad, 0xca, 0x12, 0x28, 0xbc, 0x9d, 0xd4, 0xfa, 0x82, 0xe6, 0xe3, 0xbf, 0xa2, 0x15, 0x2c, 0xd4, 0x34, 0x10}}},
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+ {{0xa1, 0x4c, 0x70, 0x4b, 0x0e, 0xa0, 0x83, 0x70, 0x13, 0xa4, 0xaf, 0xb8, 0x38, 0x19, 0x22, 0x65, 0x09, 0xb4, 0x02, 0x4f, 0x06, 0xf8, 0x17, 0xce, 0x46, 0x45, 0xda, 0x50, 0x7c, 0x8a, 0xd1, 0x4e}}},
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+ {{0x26, 0xd9, 0x5e, 0xa3, 0x0f, 0xeb, 0xa2, 0xf3, 0x20, 0x3b, 0x37, 0xd4, 0xe4, 0x9e, 0xce, 0x06, 0x3d, 0x53, 0xed, 0xae, 0x2b, 0xeb, 0xb6, 0x24, 0x0a, 0x11, 0xa3, 0x0f, 0xd6, 0x7f, 0xa4, 0x3a}}},
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+{{{0x17, 0xb4, 0xae, 0x72, 0x59, 0xd0, 0xaa, 0xa8, 0x16, 0x8b, 0x63, 0x11, 0xb3, 0x43, 0x04, 0xda, 0x0c, 0xa8, 0xb7, 0x68, 0xdd, 0x4e, 0x54, 0xe7, 0xaf, 0x5d, 0x5d, 0x05, 0x76, 0x36, 0xec, 0x0d}} ,
+ {{0x6d, 0x7c, 0x82, 0x32, 0x38, 0x55, 0x57, 0x74, 0x5b, 0x7d, 0xc3, 0xc4, 0xfb, 0x06, 0x29, 0xf0, 0x13, 0x55, 0x54, 0xc6, 0xa7, 0xdc, 0x4c, 0x9f, 0x98, 0x49, 0x20, 0xa8, 0xc3, 0x8d, 0xfa, 0x48}}},
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+ {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
+{{{0x87, 0x47, 0x9d, 0xe9, 0x25, 0xd5, 0xe3, 0x47, 0x78, 0xdf, 0x85, 0xa7, 0x85, 0x5e, 0x7a, 0x4c, 0x5f, 0x79, 0x1a, 0xf3, 0xa2, 0xb2, 0x28, 0xa0, 0x9c, 0xdd, 0x30, 0x40, 0xd4, 0x38, 0xbd, 0x28}} ,
+ {{0xfc, 0xbb, 0xd5, 0x78, 0x6d, 0x1d, 0xd4, 0x99, 0xb4, 0xaa, 0x44, 0x44, 0x7a, 0x1b, 0xd8, 0xfe, 0xb4, 0x99, 0xb9, 0xcc, 0xe7, 0xc4, 0xd3, 0x3a, 0x73, 0x83, 0x41, 0x5c, 0x40, 0xd7, 0x2d, 0x55}}},
+{{{0x26, 0xe1, 0x7b, 0x5f, 0xe5, 0xdc, 0x3f, 0x7d, 0xa1, 0xa7, 0x26, 0x44, 0x22, 0x23, 0xc0, 0x8f, 0x7d, 0xf1, 0xb5, 0x11, 0x47, 0x7b, 0x19, 0xd4, 0x75, 0x6f, 0x1e, 0xa5, 0x27, 0xfe, 0xc8, 0x0e}} ,
+ {{0xd3, 0x11, 0x3d, 0xab, 0xef, 0x2c, 0xed, 0xb1, 0x3d, 0x7c, 0x32, 0x81, 0x6b, 0xfe, 0xf8, 0x1c, 0x3c, 0x7b, 0xc0, 0x61, 0xdf, 0xb8, 0x75, 0x76, 0x7f, 0xaa, 0xd8, 0x93, 0xaf, 0x3d, 0xe8, 0x3d}}},
+{{{0xfd, 0x5b, 0x4e, 0x8d, 0xb6, 0x7e, 0x82, 0x9b, 0xef, 0xce, 0x04, 0x69, 0x51, 0x52, 0xff, 0xef, 0xa0, 0x52, 0xb5, 0x79, 0x17, 0x5e, 0x2f, 0xde, 0xd6, 0x3c, 0x2d, 0xa0, 0x43, 0xb4, 0x0b, 0x19}} ,
+ {{0xc0, 0x61, 0x48, 0x48, 0x17, 0xf4, 0x9e, 0x18, 0x51, 0x2d, 0xea, 0x2f, 0xf2, 0xf2, 0xe0, 0xa3, 0x14, 0xb7, 0x8b, 0x3a, 0x30, 0xf5, 0x81, 0xc1, 0x5d, 0x71, 0x39, 0x62, 0x55, 0x1f, 0x60, 0x5a}}},
+{{{0xe5, 0x89, 0x8a, 0x76, 0x6c, 0xdb, 0x4d, 0x0a, 0x5b, 0x72, 0x9d, 0x59, 0x6e, 0x63, 0x63, 0x18, 0x7c, 0xe3, 0xfa, 0xe2, 0xdb, 0xa1, 0x8d, 0xf4, 0xa5, 0xd7, 0x16, 0xb2, 0xd0, 0xb3, 0x3f, 0x39}} ,
+ {{0xce, 0x60, 0x09, 0x6c, 0xf5, 0x76, 0x17, 0x24, 0x80, 0x3a, 0x96, 0xc7, 0x94, 0x2e, 0xf7, 0x6b, 0xef, 0xb5, 0x05, 0x96, 0xef, 0xd3, 0x7b, 0x51, 0xda, 0x05, 0x44, 0x67, 0xbc, 0x07, 0x21, 0x4e}}},
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+ {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
+{{{0xe9, 0x73, 0x6f, 0x21, 0xb9, 0xde, 0x22, 0x7d, 0xeb, 0x97, 0x31, 0x10, 0xa3, 0xea, 0xe1, 0xc6, 0x37, 0xeb, 0x8f, 0x43, 0x58, 0xde, 0x41, 0x64, 0x0e, 0x3e, 0x07, 0x99, 0x3d, 0xf1, 0xdf, 0x1e}} ,
+ {{0xf8, 0xad, 0x43, 0xc2, 0x17, 0x06, 0xe2, 0xe4, 0xa9, 0x86, 0xcd, 0x18, 0xd7, 0x78, 0xc8, 0x74, 0x66, 0xd2, 0x09, 0x18, 0xa5, 0xf1, 0xca, 0xa6, 0x62, 0x92, 0xc1, 0xcb, 0x00, 0xeb, 0x42, 0x2e}}},
+{{{0x7b, 0x34, 0x24, 0x4c, 0xcf, 0x38, 0xe5, 0x6c, 0x0a, 0x01, 0x2c, 0x22, 0x0b, 0x24, 0x38, 0xad, 0x24, 0x7e, 0x19, 0xf0, 0x6c, 0xf9, 0x31, 0xf4, 0x35, 0x11, 0xf6, 0x46, 0x33, 0x3a, 0x23, 0x59}} ,
+ {{0x20, 0x0b, 0xa1, 0x08, 0x19, 0xad, 0x39, 0x54, 0xea, 0x3e, 0x23, 0x09, 0xb6, 0xe2, 0xd2, 0xbc, 0x4d, 0xfc, 0x9c, 0xf0, 0x13, 0x16, 0x22, 0x3f, 0xb9, 0xd2, 0x11, 0x86, 0x90, 0x55, 0xce, 0x3c}}},
+{{{0xc4, 0x0b, 0x4b, 0x62, 0x99, 0x37, 0x84, 0x3f, 0x74, 0xa2, 0xf9, 0xce, 0xe2, 0x0b, 0x0f, 0x2a, 0x3d, 0xa3, 0xe3, 0xdb, 0x5a, 0x9d, 0x93, 0xcc, 0xa5, 0xef, 0x82, 0x91, 0x1d, 0xe6, 0x6c, 0x68}} ,
+ {{0xa3, 0x64, 0x17, 0x9b, 0x8b, 0xc8, 0x3a, 0x61, 0xe6, 0x9d, 0xc6, 0xed, 0x7b, 0x03, 0x52, 0x26, 0x9d, 0x3a, 0xb3, 0x13, 0xcc, 0x8a, 0xfd, 0x2c, 0x1a, 0x1d, 0xed, 0x13, 0xd0, 0x55, 0x57, 0x0e}}},
+{{{0x1a, 0xea, 0xbf, 0xfd, 0x4a, 0x3c, 0x8e, 0xec, 0x29, 0x7e, 0x77, 0x77, 0x12, 0x99, 0xd7, 0x84, 0xf9, 0x55, 0x7f, 0xf1, 0x8b, 0xb4, 0xd2, 0x95, 0xa3, 0x8d, 0xf0, 0x8a, 0xa7, 0xeb, 0x82, 0x4b}} ,
+ {{0x2c, 0x28, 0xf4, 0x3a, 0xf6, 0xde, 0x0a, 0xe0, 0x41, 0x44, 0x23, 0xf8, 0x3f, 0x03, 0x64, 0x9f, 0xc3, 0x55, 0x4c, 0xc6, 0xc1, 0x94, 0x1c, 0x24, 0x5d, 0x5f, 0x92, 0x45, 0x96, 0x57, 0x37, 0x14}}},
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+ {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
+{{{0xc1, 0xcd, 0x90, 0x66, 0xb9, 0x76, 0xa0, 0x5b, 0xa5, 0x85, 0x75, 0x23, 0xf9, 0x89, 0xa5, 0x82, 0xb2, 0x6f, 0xb1, 0xeb, 0xc4, 0x69, 0x6f, 0x18, 0x5a, 0xed, 0x94, 0x3d, 0x9d, 0xd9, 0x2c, 0x1a}} ,
+ {{0x35, 0xb0, 0xe6, 0x73, 0x06, 0xb7, 0x37, 0xe0, 0xf8, 0xb0, 0x22, 0xe8, 0xd2, 0xed, 0x0b, 0xef, 0xe6, 0xc6, 0x5a, 0x99, 0x9e, 0x1a, 0x9f, 0x04, 0x97, 0xe4, 0x4d, 0x0b, 0xbe, 0xba, 0x44, 0x40}}},
+{{{0xc1, 0x56, 0x96, 0x91, 0x5f, 0x1f, 0xbb, 0x54, 0x6f, 0x88, 0x89, 0x0a, 0xb2, 0xd6, 0x41, 0x42, 0x6a, 0x82, 0xee, 0x14, 0xaa, 0x76, 0x30, 0x65, 0x0f, 0x67, 0x39, 0xa6, 0x51, 0x7c, 0x49, 0x24}} ,
+ {{0x35, 0xa3, 0x78, 0xd1, 0x11, 0x0f, 0x75, 0xd3, 0x70, 0x46, 0xdb, 0x20, 0x51, 0xcb, 0x92, 0x80, 0x54, 0x10, 0x74, 0x36, 0x86, 0xa9, 0xd7, 0xa3, 0x08, 0x78, 0xf1, 0x01, 0x29, 0xf8, 0x80, 0x3b}}},
+{{{0xdb, 0xa7, 0x9d, 0x9d, 0xbf, 0xa0, 0xcc, 0xed, 0x53, 0xa2, 0xa2, 0x19, 0x39, 0x48, 0x83, 0x19, 0x37, 0x58, 0xd1, 0x04, 0x28, 0x40, 0xf7, 0x8a, 0xc2, 0x08, 0xb7, 0xa5, 0x42, 0xcf, 0x53, 0x4c}} ,
+ {{0xa7, 0xbb, 0xf6, 0x8e, 0xad, 0xdd, 0xf7, 0x90, 0xdd, 0x5f, 0x93, 0x89, 0xae, 0x04, 0x37, 0xe6, 0x9a, 0xb7, 0xe8, 0xc0, 0xdf, 0x16, 0x2a, 0xbf, 0xc4, 0x3a, 0x3c, 0x41, 0xd5, 0x89, 0x72, 0x5a}}},
+{{{0x1f, 0x96, 0xff, 0x34, 0x2c, 0x13, 0x21, 0xcb, 0x0a, 0x89, 0x85, 0xbe, 0xb3, 0x70, 0x9e, 0x1e, 0xde, 0x97, 0xaf, 0x96, 0x30, 0xf7, 0x48, 0x89, 0x40, 0x8d, 0x07, 0xf1, 0x25, 0xf0, 0x30, 0x58}} ,
+ {{0x1e, 0xd4, 0x93, 0x57, 0xe2, 0x17, 0xe7, 0x9d, 0xab, 0x3c, 0x55, 0x03, 0x82, 0x2f, 0x2b, 0xdb, 0x56, 0x1e, 0x30, 0x2e, 0x24, 0x47, 0x6e, 0xe6, 0xff, 0x33, 0x24, 0x2c, 0x75, 0x51, 0xd4, 0x67}}},
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+ {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
+{{{0x2b, 0x06, 0xd9, 0xa1, 0x5d, 0xe1, 0xf4, 0xd1, 0x1e, 0x3c, 0x9a, 0xc6, 0x29, 0x2b, 0x13, 0x13, 0x78, 0xc0, 0xd8, 0x16, 0x17, 0x2d, 0x9e, 0xa9, 0xc9, 0x79, 0x57, 0xab, 0x24, 0x91, 0x92, 0x19}} ,
+ {{0x69, 0xfb, 0xa1, 0x9c, 0xa6, 0x75, 0x49, 0x7d, 0x60, 0x73, 0x40, 0x42, 0xc4, 0x13, 0x0a, 0x95, 0x79, 0x1e, 0x04, 0x83, 0x94, 0x99, 0x9b, 0x1e, 0x0c, 0xe8, 0x1f, 0x54, 0xef, 0xcb, 0xc0, 0x52}}},
+{{{0x14, 0x89, 0x73, 0xa1, 0x37, 0x87, 0x6a, 0x7a, 0xcf, 0x1d, 0xd9, 0x2e, 0x1a, 0x67, 0xed, 0x74, 0xc0, 0xf0, 0x9c, 0x33, 0xdd, 0xdf, 0x08, 0xbf, 0x7b, 0xd1, 0x66, 0xda, 0xe6, 0xc9, 0x49, 0x08}} ,
+ {{0xe9, 0xdd, 0x5e, 0x55, 0xb0, 0x0a, 0xde, 0x21, 0x4c, 0x5a, 0x2e, 0xd4, 0x80, 0x3a, 0x57, 0x92, 0x7a, 0xf1, 0xc4, 0x2c, 0x40, 0xaf, 0x2f, 0xc9, 0x92, 0x03, 0xe5, 0x5a, 0xbc, 0xdc, 0xf4, 0x09}}},
+{{{0xf3, 0xe1, 0x2b, 0x7c, 0x05, 0x86, 0x80, 0x93, 0x4a, 0xad, 0xb4, 0x8f, 0x7e, 0x99, 0x0c, 0xfd, 0xcd, 0xef, 0xd1, 0xff, 0x2c, 0x69, 0x34, 0x13, 0x41, 0x64, 0xcf, 0x3b, 0xd0, 0x90, 0x09, 0x1e}} ,
+ {{0x9d, 0x45, 0xd6, 0x80, 0xe6, 0x45, 0xaa, 0xf4, 0x15, 0xaa, 0x5c, 0x34, 0x87, 0x99, 0xa2, 0x8c, 0x26, 0x84, 0x62, 0x7d, 0xb6, 0x29, 0xc0, 0x52, 0xea, 0xf5, 0x81, 0x18, 0x0f, 0x35, 0xa9, 0x0e}}},
+{{{0xe7, 0x20, 0x72, 0x7c, 0x6d, 0x94, 0x5f, 0x52, 0x44, 0x54, 0xe3, 0xf1, 0xb2, 0xb0, 0x36, 0x46, 0x0f, 0xae, 0x92, 0xe8, 0x70, 0x9d, 0x6e, 0x79, 0xb1, 0xad, 0x37, 0xa9, 0x5f, 0xc0, 0xde, 0x03}} ,
+ {{0x15, 0x55, 0x37, 0xc6, 0x1c, 0x27, 0x1c, 0x6d, 0x14, 0x4f, 0xca, 0xa4, 0xc4, 0x88, 0x25, 0x46, 0x39, 0xfc, 0x5a, 0xe5, 0xfe, 0x29, 0x11, 0x69, 0xf5, 0x72, 0x84, 0x4d, 0x78, 0x9f, 0x94, 0x15}}},
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+ {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
+{{{0xec, 0xd3, 0xff, 0x57, 0x0b, 0xb0, 0xb2, 0xdc, 0xf8, 0x4f, 0xe2, 0x12, 0xd5, 0x36, 0xbe, 0x6b, 0x09, 0x43, 0x6d, 0xa3, 0x4d, 0x90, 0x2d, 0xb8, 0x74, 0xe8, 0x71, 0x45, 0x19, 0x8b, 0x0c, 0x6a}} ,
+ {{0xb8, 0x42, 0x1c, 0x03, 0xad, 0x2c, 0x03, 0x8e, 0xac, 0xd7, 0x98, 0x29, 0x13, 0xc6, 0x02, 0x29, 0xb5, 0xd4, 0xe7, 0xcf, 0xcc, 0x8b, 0x83, 0xec, 0x35, 0xc7, 0x9c, 0x74, 0xb7, 0xad, 0x85, 0x5f}}},
+{{{0x78, 0x84, 0xe1, 0x56, 0x45, 0x69, 0x68, 0x5a, 0x4f, 0xb8, 0xb1, 0x29, 0xff, 0x33, 0x03, 0x31, 0xb7, 0xcb, 0x96, 0x25, 0xe6, 0xe6, 0x41, 0x98, 0x1a, 0xbb, 0x03, 0x56, 0xf2, 0xb2, 0x91, 0x34}} ,
+ {{0x2c, 0x6c, 0xf7, 0x66, 0xa4, 0x62, 0x6b, 0x39, 0xb3, 0xba, 0x65, 0xd3, 0x1c, 0xf8, 0x11, 0xaa, 0xbe, 0xdc, 0x80, 0x59, 0x87, 0xf5, 0x7b, 0xe5, 0xe3, 0xb3, 0x3e, 0x39, 0xda, 0xbe, 0x88, 0x09}}},
+{{{0x8b, 0xf1, 0xa0, 0xf5, 0xdc, 0x29, 0xb4, 0xe2, 0x07, 0xc6, 0x7a, 0x00, 0xd0, 0x89, 0x17, 0x51, 0xd4, 0xbb, 0xd4, 0x22, 0xea, 0x7e, 0x7d, 0x7c, 0x24, 0xea, 0xf2, 0xe8, 0x22, 0x12, 0x95, 0x06}} ,
+ {{0xda, 0x7c, 0xa4, 0x0c, 0xf4, 0xba, 0x6e, 0xe1, 0x89, 0xb5, 0x59, 0xca, 0xf1, 0xc0, 0x29, 0x36, 0x09, 0x44, 0xe2, 0x7f, 0xd1, 0x63, 0x15, 0x99, 0xea, 0x25, 0xcf, 0x0c, 0x9d, 0xc0, 0x44, 0x6f}}},
+{{{0x1d, 0x86, 0x4e, 0xcf, 0xf7, 0x37, 0x10, 0x25, 0x8f, 0x12, 0xfb, 0x19, 0xfb, 0xe0, 0xed, 0x10, 0xc8, 0xe2, 0xf5, 0x75, 0xb1, 0x33, 0xc0, 0x96, 0x0d, 0xfb, 0x15, 0x6c, 0x0d, 0x07, 0x5f, 0x05}} ,
+ {{0x69, 0x3e, 0x47, 0x97, 0x2c, 0xaf, 0x52, 0x7c, 0x78, 0x83, 0xad, 0x1b, 0x39, 0x82, 0x2f, 0x02, 0x6f, 0x47, 0xdb, 0x2a, 0xb0, 0xe1, 0x91, 0x99, 0x55, 0xb8, 0x99, 0x3a, 0xa0, 0x44, 0x11, 0x51}}}

diff --git a/usr.bin/signify/sc25519.c b/usr.bin/signify/sc25519.c
new file mode 100644 (file)
index 0000000..0e324eb
--- /dev/null
+++ b/usr.bin/signify/sc25519.c
@@ -0,0 +1,306 @@
+/* $OpenBSD: sc25519.c,v 1.1 2014/07/22 00:41:19 deraadt Exp $ */
+
+/*
+ * Public Domain, Authors: Daniel J. Bernstein, Niels Duif, Tanja Lange,
+ * Peter Schwabe, Bo-Yin Yang.
+ * Copied from supercop-20130419/crypto_sign/ed25519/ref/sc25519.c
+ */
+
+#include "sc25519.h"
+
+/*Arithmetic modulo the group order m = 2^252 +  27742317777372353535851937790883648493 = 7237005577332262213973186563042994240857116359379907606001950938285454250989 */
+
+static const crypto_uint32 m[32] = {0xED, 0xD3, 0xF5, 0x5C, 0x1A, 0x63, 0x12, 0x58, 0xD6, 0x9C, 0xF7, 0xA2, 0xDE, 0xF9, 0xDE, 0x14, 
+                                    0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x10};
+
+static const crypto_uint32 mu[33] = {0x1B, 0x13, 0x2C, 0x0A, 0xA3, 0xE5, 0x9C, 0xED, 0xA7, 0x29, 0x63, 0x08, 0x5D, 0x21, 0x06, 0x21, 
+                                     0xEB, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x0F};
+
+static crypto_uint32 lt(crypto_uint32 a,crypto_uint32 b) /* 16-bit inputs */
+{
+  unsigned int x = a;
+  x -= (unsigned int) b; /* 0..65535: no; 4294901761..4294967295: yes */
+  x >>= 31; /* 0: no; 1: yes */
+  return x;
+}
+
+/* Reduce coefficients of r before calling reduce_add_sub */
+static void reduce_add_sub(sc25519 *r)
+{
+  crypto_uint32 pb = 0;
+  crypto_uint32 b;
+  crypto_uint32 mask;
+  int i;
+  unsigned char t[32];
+
+  for(i=0;i<32;i++) 
+  {
+    pb += m[i];
+    b = lt(r->v[i],pb);
+    t[i] = r->v[i]-pb+(b<<8);
+    pb = b;
+  }
+  mask = b - 1;
+  for(i=0;i<32;i++) 
+    r->v[i] ^= mask & (r->v[i] ^ t[i]);
+}
+
+/* Reduce coefficients of x before calling barrett_reduce */
+static void barrett_reduce(sc25519 *r, const crypto_uint32 x[64])
+{
+  /* See HAC, Alg. 14.42 */
+  int i,j;
+  crypto_uint32 q2[66];
+  crypto_uint32 *q3 = q2 + 33;
+  crypto_uint32 r1[33];
+  crypto_uint32 r2[33];
+  crypto_uint32 carry;
+  crypto_uint32 pb = 0;
+  crypto_uint32 b;
+
+  for (i = 0;i < 66;++i) q2[i] = 0;
+  for (i = 0;i < 33;++i) r2[i] = 0;
+
+  for(i=0;i<33;i++)
+    for(j=0;j<33;j++)
+      if(i+j >= 31) q2[i+j] += mu[i]*x[j+31];
+  carry = q2[31] >> 8;
+  q2[32] += carry;
+  carry = q2[32] >> 8;
+  q2[33] += carry;
+
+  for(i=0;i<33;i++)r1[i] = x[i];
+  for(i=0;i<32;i++)
+    for(j=0;j<33;j++)
+      if(i+j < 33) r2[i+j] += m[i]*q3[j];
+
+  for(i=0;i<32;i++)
+  {
+    carry = r2[i] >> 8;
+    r2[i+1] += carry;
+    r2[i] &= 0xff;
+  }
+
+  for(i=0;i<32;i++) 
+  {
+    pb += r2[i];
+    b = lt(r1[i],pb);
+    r->v[i] = r1[i]-pb+(b<<8);
+    pb = b;
+  }
+
+  /* XXX: Can it really happen that r<0?, See HAC, Alg 14.42, Step 3 
+   * If so: Handle  it here!
+   */
+
+  reduce_add_sub(r);
+  reduce_add_sub(r);
+}
+
+void sc25519_from32bytes(sc25519 *r, const unsigned char x[32])
+{
+  int i;
+  crypto_uint32 t[64];
+  for(i=0;i<32;i++) t[i] = x[i];
+  for(i=32;i<64;++i) t[i] = 0;
+  barrett_reduce(r, t);
+}
+
+void shortsc25519_from16bytes(shortsc25519 *r, const unsigned char x[16])
+{
+  int i;
+  for(i=0;i<16;i++) r->v[i] = x[i];
+}
+
+void sc25519_from64bytes(sc25519 *r, const unsigned char x[64])
+{
+  int i;
+  crypto_uint32 t[64];
+  for(i=0;i<64;i++) t[i] = x[i];
+  barrett_reduce(r, t);
+}
+
+void sc25519_from_shortsc(sc25519 *r, const shortsc25519 *x)
+{
+  int i;
+  for(i=0;i<16;i++)
+    r->v[i] = x->v[i];
+  for(i=0;i<16;i++)
+    r->v[16+i] = 0;
+}
+
+void sc25519_to32bytes(unsigned char r[32], const sc25519 *x)
+{
+  int i;
+  for(i=0;i<32;i++) r[i] = x->v[i];
+}
+
+int sc25519_iszero_vartime(const sc25519 *x)
+{
+  int i;
+  for(i=0;i<32;i++)
+    if(x->v[i] != 0) return 0;
+  return 1;
+}
+
+int sc25519_isshort_vartime(const sc25519 *x)
+{
+  int i;
+  for(i=31;i>15;i--)
+    if(x->v[i] != 0) return 0;
+  return 1;
+}
+
+int sc25519_lt_vartime(const sc25519 *x, const sc25519 *y)
+{
+  int i;
+  for(i=31;i>=0;i--)
+  {
+    if(x->v[i] < y->v[i]) return 1;
+    if(x->v[i] > y->v[i]) return 0;
+  }
+  return 0;
+}
+
+void sc25519_add(sc25519 *r, const sc25519 *x, const sc25519 *y)
+{
+  int i, carry;
+  for(i=0;i<32;i++) r->v[i] = x->v[i] + y->v[i];
+  for(i=0;i<31;i++)
+  {
+    carry = r->v[i] >> 8;
+    r->v[i+1] += carry;
+    r->v[i] &= 0xff;
+  }
+  reduce_add_sub(r);
+}
+
+void sc25519_sub_nored(sc25519 *r, const sc25519 *x, const sc25519 *y)
+{
+  crypto_uint32 b = 0;
+  crypto_uint32 t;
+  int i;
+  for(i=0;i<32;i++)
+  {
+    t = x->v[i] - y->v[i] - b;
+    r->v[i] = t & 255;
+    b = (t >> 8) & 1;
+  }
+}
+
+void sc25519_mul(sc25519 *r, const sc25519 *x, const sc25519 *y)
+{
+  int i,j,carry;
+  crypto_uint32 t[64];
+  for(i=0;i<64;i++)t[i] = 0;
+
+  for(i=0;i<32;i++)
+    for(j=0;j<32;j++)
+      t[i+j] += x->v[i] * y->v[j];
+
+  /* Reduce coefficients */
+  for(i=0;i<63;i++)
+  {
+    carry = t[i] >> 8;
+    t[i+1] += carry;
+    t[i] &= 0xff;
+  }
+
+  barrett_reduce(r, t);
+}
+
+void sc25519_mul_shortsc(sc25519 *r, const sc25519 *x, const shortsc25519 *y)
+{
+  sc25519 t;
+  sc25519_from_shortsc(&t, y);
+  sc25519_mul(r, x, &t);
+}
+
+void sc25519_window3(signed char r[85], const sc25519 *s)
+{
+  char carry;
+  int i;
+  for(i=0;i<10;i++)
+  {
+    r[8*i+0]  =  s->v[3*i+0]       & 7;
+    r[8*i+1]  = (s->v[3*i+0] >> 3) & 7;
+    r[8*i+2]  = (s->v[3*i+0] >> 6) & 7;
+    r[8*i+2] ^= (s->v[3*i+1] << 2) & 7;
+    r[8*i+3]  = (s->v[3*i+1] >> 1) & 7;
+    r[8*i+4]  = (s->v[3*i+1] >> 4) & 7;
+    r[8*i+5]  = (s->v[3*i+1] >> 7) & 7;
+    r[8*i+5] ^= (s->v[3*i+2] << 1) & 7;
+    r[8*i+6]  = (s->v[3*i+2] >> 2) & 7;
+    r[8*i+7]  = (s->v[3*i+2] >> 5) & 7;
+  }
+  r[8*i+0]  =  s->v[3*i+0]       & 7;
+  r[8*i+1]  = (s->v[3*i+0] >> 3) & 7;
+  r[8*i+2]  = (s->v[3*i+0] >> 6) & 7;
+  r[8*i+2] ^= (s->v[3*i+1] << 2) & 7;
+  r[8*i+3]  = (s->v[3*i+1] >> 1) & 7;
+  r[8*i+4]  = (s->v[3*i+1] >> 4) & 7;
+
+  /* Making it signed */
+  carry = 0;
+  for(i=0;i<84;i++)
+  {
+    r[i] += carry;
+    r[i+1] += r[i] >> 3;
+    r[i] &= 7;
+    carry = r[i] >> 2;
+    r[i] -= carry<<3;
+  }
+  r[84] += carry;
+}
+
+void sc25519_window5(signed char r[51], const sc25519 *s)
+{
+  char carry;
+  int i;
+  for(i=0;i<6;i++)
+  {
+    r[8*i+0]  =  s->v[5*i+0]       & 31;
+    r[8*i+1]  = (s->v[5*i+0] >> 5) & 31;
+    r[8*i+1] ^= (s->v[5*i+1] << 3) & 31;
+    r[8*i+2]  = (s->v[5*i+1] >> 2) & 31;
+    r[8*i+3]  = (s->v[5*i+1] >> 7) & 31;
+    r[8*i+3] ^= (s->v[5*i+2] << 1) & 31;
+    r[8*i+4]  = (s->v[5*i+2] >> 4) & 31;
+    r[8*i+4] ^= (s->v[5*i+3] << 4) & 31;
+    r[8*i+5]  = (s->v[5*i+3] >> 1) & 31;
+    r[8*i+6]  = (s->v[5*i+3] >> 6) & 31;
+    r[8*i+6] ^= (s->v[5*i+4] << 2) & 31;
+    r[8*i+7]  = (s->v[5*i+4] >> 3) & 31;
+  }
+  r[8*i+0]  =  s->v[5*i+0]       & 31;
+  r[8*i+1]  = (s->v[5*i+0] >> 5) & 31;
+  r[8*i+1] ^= (s->v[5*i+1] << 3) & 31;
+  r[8*i+2]  = (s->v[5*i+1] >> 2) & 31;
+
+  /* Making it signed */
+  carry = 0;
+  for(i=0;i<50;i++)
+  {
+    r[i] += carry;
+    r[i+1] += r[i] >> 5;
+    r[i] &= 31;
+    carry = r[i] >> 4;
+    r[i] -= carry<<5;
+  }
+  r[50] += carry;
+}
+
+void sc25519_2interleave2(unsigned char r[127], const sc25519 *s1, const sc25519 *s2)
+{
+  int i;
+  for(i=0;i<31;i++)
+  {
+    r[4*i]   = ( s1->v[i]       & 3) ^ (( s2->v[i]       & 3) << 2);
+    r[4*i+1] = ((s1->v[i] >> 2) & 3) ^ (((s2->v[i] >> 2) & 3) << 2);
+    r[4*i+2] = ((s1->v[i] >> 4) & 3) ^ (((s2->v[i] >> 4) & 3) << 2);
+    r[4*i+3] = ((s1->v[i] >> 6) & 3) ^ (((s2->v[i] >> 6) & 3) << 2);
+  }
+  r[124] = ( s1->v[31]       & 3) ^ (( s2->v[31]       & 3) << 2);
+  r[125] = ((s1->v[31] >> 2) & 3) ^ (((s2->v[31] >> 2) & 3) << 2);
+  r[126] = ((s1->v[31] >> 4) & 3) ^ (((s2->v[31] >> 4) & 3) << 2);
+}

diff --git a/usr.bin/signify/sc25519.h b/usr.bin/signify/sc25519.h
new file mode 100644 (file)
index 0000000..5211fa8
--- /dev/null
+++ b/usr.bin/signify/sc25519.h
@@ -0,0 +1,80 @@
+/* $OpenBSD: sc25519.h,v 1.1 2014/07/22 00:41:19 deraadt Exp $ */
+
+/*
+ * Public Domain, Authors: Daniel J. Bernstein, Niels Duif, Tanja Lange,
+ * Peter Schwabe, Bo-Yin Yang.
+ * Copied from supercop-20130419/crypto_sign/ed25519/ref/sc25519.h
+ */
+
+#ifndef SC25519_H
+#define SC25519_H
+
+#include "crypto_api.h"
+
+#define sc25519                  crypto_sign_ed25519_ref_sc25519
+#define shortsc25519             crypto_sign_ed25519_ref_shortsc25519
+#define sc25519_from32bytes      crypto_sign_ed25519_ref_sc25519_from32bytes
+#define shortsc25519_from16bytes crypto_sign_ed25519_ref_shortsc25519_from16bytes
+#define sc25519_from64bytes      crypto_sign_ed25519_ref_sc25519_from64bytes
+#define sc25519_from_shortsc     crypto_sign_ed25519_ref_sc25519_from_shortsc
+#define sc25519_to32bytes        crypto_sign_ed25519_ref_sc25519_to32bytes
+#define sc25519_iszero_vartime   crypto_sign_ed25519_ref_sc25519_iszero_vartime
+#define sc25519_isshort_vartime  crypto_sign_ed25519_ref_sc25519_isshort_vartime
+#define sc25519_lt_vartime       crypto_sign_ed25519_ref_sc25519_lt_vartime
+#define sc25519_add              crypto_sign_ed25519_ref_sc25519_add
+#define sc25519_sub_nored        crypto_sign_ed25519_ref_sc25519_sub_nored
+#define sc25519_mul              crypto_sign_ed25519_ref_sc25519_mul
+#define sc25519_mul_shortsc      crypto_sign_ed25519_ref_sc25519_mul_shortsc
+#define sc25519_window3          crypto_sign_ed25519_ref_sc25519_window3
+#define sc25519_window5          crypto_sign_ed25519_ref_sc25519_window5
+#define sc25519_2interleave2     crypto_sign_ed25519_ref_sc25519_2interleave2
+
+typedef struct 
+{
+  crypto_uint32 v[32]; 
+}
+sc25519;
+
+typedef struct 
+{
+  crypto_uint32 v[16]; 
+}
+shortsc25519;
+
+void sc25519_from32bytes(sc25519 *r, const unsigned char x[32]);
+
+void shortsc25519_from16bytes(shortsc25519 *r, const unsigned char x[16]);
+
+void sc25519_from64bytes(sc25519 *r, const unsigned char x[64]);
+
+void sc25519_from_shortsc(sc25519 *r, const shortsc25519 *x);
+
+void sc25519_to32bytes(unsigned char r[32], const sc25519 *x);
+
+int sc25519_iszero_vartime(const sc25519 *x);
+
+int sc25519_isshort_vartime(const sc25519 *x);
+
+int sc25519_lt_vartime(const sc25519 *x, const sc25519 *y);
+
+void sc25519_add(sc25519 *r, const sc25519 *x, const sc25519 *y);
+
+void sc25519_sub_nored(sc25519 *r, const sc25519 *x, const sc25519 *y);
+
+void sc25519_mul(sc25519 *r, const sc25519 *x, const sc25519 *y);
+
+void sc25519_mul_shortsc(sc25519 *r, const sc25519 *x, const shortsc25519 *y);
+
+/* Convert s into a representation of the form \sum_{i=0}^{84}r[i]2^3
+ * with r[i] in {-4,...,3}
+ */
+void sc25519_window3(signed char r[85], const sc25519 *s);
+
+/* Convert s into a representation of the form \sum_{i=0}^{50}r[i]2^5
+ * with r[i] in {-16,...,15}
+ */
+void sc25519_window5(signed char r[51], const sc25519 *s);
+
+void sc25519_2interleave2(unsigned char r[127], const sc25519 *s1, const sc25519 *s2);
+
+#endif

diff --git a/usr.bin/signify/smult_curve25519_ref.c b/usr.bin/signify/smult_curve25519_ref.c
new file mode 100644 (file)
index 0000000..0ed7ffa
--- /dev/null
+++ b/usr.bin/signify/smult_curve25519_ref.c
@@ -0,0 +1,265 @@
+/* $OpenBSD: smult_curve25519_ref.c,v 1.1 2014/07/22 00:41:19 deraadt Exp $ */
+/*
+version 20081011
+Matthew Dempsky
+Public domain.
+Derived from public domain code by D. J. Bernstein.
+*/
+
+int crypto_scalarmult_curve25519(unsigned char *, const unsigned char *, const unsigned char *);
+
+static void add(unsigned int out[32],const unsigned int a[32],const unsigned int b[32])
+{
+  unsigned int j;
+  unsigned int u;
+  u = 0;
+  for (j = 0;j < 31;++j) { u += a[j] + b[j]; out[j] = u & 255; u >>= 8; }
+  u += a[31] + b[31]; out[31] = u;
+}
+
+static void sub(unsigned int out[32],const unsigned int a[32],const unsigned int b[32])
+{
+  unsigned int j;
+  unsigned int u;
+  u = 218;
+  for (j = 0;j < 31;++j) {
+    u += a[j] + 65280 - b[j];
+    out[j] = u & 255;
+    u >>= 8;
+  }
+  u += a[31] - b[31];
+  out[31] = u;
+}
+
+static void squeeze(unsigned int a[32])
+{
+  unsigned int j;
+  unsigned int u;
+  u = 0;
+  for (j = 0;j < 31;++j) { u += a[j]; a[j] = u & 255; u >>= 8; }
+  u += a[31]; a[31] = u & 127;
+  u = 19 * (u >> 7);
+  for (j = 0;j < 31;++j) { u += a[j]; a[j] = u & 255; u >>= 8; }
+  u += a[31]; a[31] = u;
+}
+
+static const unsigned int minusp[32] = {
+ 19, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128
+} ;
+
+static void freeze(unsigned int a[32])
+{
+  unsigned int aorig[32];
+  unsigned int j;
+  unsigned int negative;
+
+  for (j = 0;j < 32;++j) aorig[j] = a[j];
+  add(a,a,minusp);
+  negative = -((a[31] >> 7) & 1);
+  for (j = 0;j < 32;++j) a[j] ^= negative & (aorig[j] ^ a[j]);
+}
+
+static void mult(unsigned int out[32],const unsigned int a[32],const unsigned int b[32])
+{
+  unsigned int i;
+  unsigned int j;
+  unsigned int u;
+
+  for (i = 0;i < 32;++i) {
+    u = 0;
+    for (j = 0;j <= i;++j) u += a[j] * b[i - j];
+    for (j = i + 1;j < 32;++j) u += 38 * a[j] * b[i + 32 - j];
+    out[i] = u;
+  }
+  squeeze(out);
+}
+
+static void mult121665(unsigned int out[32],const unsigned int a[32])
+{
+  unsigned int j;
+  unsigned int u;
+
+  u = 0;
+  for (j = 0;j < 31;++j) { u += 121665 * a[j]; out[j] = u & 255; u >>= 8; }
+  u += 121665 * a[31]; out[31] = u & 127;
+  u = 19 * (u >> 7);
+  for (j = 0;j < 31;++j) { u += out[j]; out[j] = u & 255; u >>= 8; }
+  u += out[j]; out[j] = u;
+}
+
+static void square(unsigned int out[32],const unsigned int a[32])
+{
+  unsigned int i;
+  unsigned int j;
+  unsigned int u;
+
+  for (i = 0;i < 32;++i) {
+    u = 0;
+    for (j = 0;j < i - j;++j) u += a[j] * a[i - j];
+    for (j = i + 1;j < i + 32 - j;++j) u += 38 * a[j] * a[i + 32 - j];
+    u *= 2;
+    if ((i & 1) == 0) {
+      u += a[i / 2] * a[i / 2];
+      u += 38 * a[i / 2 + 16] * a[i / 2 + 16];
+    }
+    out[i] = u;
+  }
+  squeeze(out);
+}
+
+static void select(unsigned int p[64],unsigned int q[64],const unsigned int r[64],const unsigned int s[64],unsigned int b)
+{
+  unsigned int j;
+  unsigned int t;
+  unsigned int bminus1;
+
+  bminus1 = b - 1;
+  for (j = 0;j < 64;++j) {
+    t = bminus1 & (r[j] ^ s[j]);
+    p[j] = s[j] ^ t;
+    q[j] = r[j] ^ t;
+  }
+}
+
+static void mainloop(unsigned int work[64],const unsigned char e[32])
+{
+  unsigned int xzm1[64];
+  unsigned int xzm[64];
+  unsigned int xzmb[64];
+  unsigned int xzm1b[64];
+  unsigned int xznb[64];
+  unsigned int xzn1b[64];
+  unsigned int a0[64];
+  unsigned int a1[64];
+  unsigned int b0[64];
+  unsigned int b1[64];
+  unsigned int c1[64];
+  unsigned int r[32];
+  unsigned int s[32];
+  unsigned int t[32];
+  unsigned int u[32];
+  unsigned int j;
+  unsigned int b;
+  int pos;
+
+  for (j = 0;j < 32;++j) xzm1[j] = work[j];
+  xzm1[32] = 1;
+  for (j = 33;j < 64;++j) xzm1[j] = 0;
+
+  xzm[0] = 1;
+  for (j = 1;j < 64;++j) xzm[j] = 0;
+
+  for (pos = 254;pos >= 0;--pos) {
+    b = e[pos / 8] >> (pos & 7);
+    b &= 1;
+    select(xzmb,xzm1b,xzm,xzm1,b);
+    add(a0,xzmb,xzmb + 32);
+    sub(a0 + 32,xzmb,xzmb + 32);
+    add(a1,xzm1b,xzm1b + 32);
+    sub(a1 + 32,xzm1b,xzm1b + 32);
+    square(b0,a0);
+    square(b0 + 32,a0 + 32);
+    mult(b1,a1,a0 + 32);
+    mult(b1 + 32,a1 + 32,a0);
+    add(c1,b1,b1 + 32);
+    sub(c1 + 32,b1,b1 + 32);
+    square(r,c1 + 32);
+    sub(s,b0,b0 + 32);
+    mult121665(t,s);
+    add(u,t,b0);
+    mult(xznb,b0,b0 + 32);
+    mult(xznb + 32,s,u);
+    square(xzn1b,c1);
+    mult(xzn1b + 32,r,work);
+    select(xzm,xzm1,xznb,xzn1b,b);
+  }
+
+  for (j = 0;j < 64;++j) work[j] = xzm[j];
+}
+
+static void recip(unsigned int out[32],const unsigned int z[32])
+{
+  unsigned int z2[32];
+  unsigned int z9[32];
+  unsigned int z11[32];
+  unsigned int z2_5_0[32];
+  unsigned int z2_10_0[32];
+  unsigned int z2_20_0[32];
+  unsigned int z2_50_0[32];
+  unsigned int z2_100_0[32];
+  unsigned int t0[32];
+  unsigned int t1[32];
+  int i;
+
+  /* 2 */ square(z2,z);
+  /* 4 */ square(t1,z2);
+  /* 8 */ square(t0,t1);
+  /* 9 */ mult(z9,t0,z);
+  /* 11 */ mult(z11,z9,z2);
+  /* 22 */ square(t0,z11);
+  /* 2^5 - 2^0 = 31 */ mult(z2_5_0,t0,z9);
+
+  /* 2^6 - 2^1 */ square(t0,z2_5_0);
+  /* 2^7 - 2^2 */ square(t1,t0);
+  /* 2^8 - 2^3 */ square(t0,t1);
+  /* 2^9 - 2^4 */ square(t1,t0);
+  /* 2^10 - 2^5 */ square(t0,t1);
+  /* 2^10 - 2^0 */ mult(z2_10_0,t0,z2_5_0);
+
+  /* 2^11 - 2^1 */ square(t0,z2_10_0);
+  /* 2^12 - 2^2 */ square(t1,t0);
+  /* 2^20 - 2^10 */ for (i = 2;i < 10;i += 2) { square(t0,t1); square(t1,t0); }
+  /* 2^20 - 2^0 */ mult(z2_20_0,t1,z2_10_0);
+
+  /* 2^21 - 2^1 */ square(t0,z2_20_0);
+  /* 2^22 - 2^2 */ square(t1,t0);
+  /* 2^40 - 2^20 */ for (i = 2;i < 20;i += 2) { square(t0,t1); square(t1,t0); }
+  /* 2^40 - 2^0 */ mult(t0,t1,z2_20_0);
+
+  /* 2^41 - 2^1 */ square(t1,t0);
+  /* 2^42 - 2^2 */ square(t0,t1);
+  /* 2^50 - 2^10 */ for (i = 2;i < 10;i += 2) { square(t1,t0); square(t0,t1); }
+  /* 2^50 - 2^0 */ mult(z2_50_0,t0,z2_10_0);
+
+  /* 2^51 - 2^1 */ square(t0,z2_50_0);
+  /* 2^52 - 2^2 */ square(t1,t0);
+  /* 2^100 - 2^50 */ for (i = 2;i < 50;i += 2) { square(t0,t1); square(t1,t0); }
+  /* 2^100 - 2^0 */ mult(z2_100_0,t1,z2_50_0);
+
+  /* 2^101 - 2^1 */ square(t1,z2_100_0);
+  /* 2^102 - 2^2 */ square(t0,t1);
+  /* 2^200 - 2^100 */ for (i = 2;i < 100;i += 2) { square(t1,t0); square(t0,t1); }
+  /* 2^200 - 2^0 */ mult(t1,t0,z2_100_0);
+
+  /* 2^201 - 2^1 */ square(t0,t1);
+  /* 2^202 - 2^2 */ square(t1,t0);
+  /* 2^250 - 2^50 */ for (i = 2;i < 50;i += 2) { square(t0,t1); square(t1,t0); }
+  /* 2^250 - 2^0 */ mult(t0,t1,z2_50_0);
+
+  /* 2^251 - 2^1 */ square(t1,t0);
+  /* 2^252 - 2^2 */ square(t0,t1);
+  /* 2^253 - 2^3 */ square(t1,t0);
+  /* 2^254 - 2^4 */ square(t0,t1);
+  /* 2^255 - 2^5 */ square(t1,t0);
+  /* 2^255 - 21 */ mult(out,t1,z11);
+}
+
+int crypto_scalarmult_curve25519(unsigned char *q,
+  const unsigned char *n,
+  const unsigned char *p)
+{
+  unsigned int work[96];
+  unsigned char e[32];
+  unsigned int i;
+  for (i = 0;i < 32;++i) e[i] = n[i];
+  e[0] &= 248;
+  e[31] &= 127;
+  e[31] |= 64;
+  for (i = 0;i < 32;++i) work[i] = p[i];
+  mainloop(work,e);
+  recip(work + 32,work + 32);
+  mult(work + 64,work,work + 32);
+  freeze(work + 64);
+  for (i = 0;i < 32;++i) q[i] = work[64 + i];
+  return 0;
+}