From 4a3a9d4bbf8048473f5cc202cd8db7164d5e6b8d Mon Sep 17 00:00:00 2001 From: Damien Miller Date: Wed, 30 Oct 2013 22:19:47 +1100 Subject: - djm@cvs.openbsd.org 2013/10/29 09:42:11 [key.c key.h] fix potential stack exhaustion caused by nested certificates; report by Mateusz Kocielski; ok dtucker@ markus@ --- key.h | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) (limited to 'key.h') diff --git a/key.h b/key.h index 17358ae1f..8a78a828a 100644 --- a/key.h +++ b/key.h @@ -1,4 +1,4 @@ -/* $OpenBSD: key.h,v 1.37 2013/05/19 02:42:42 djm Exp $ */ +/* $OpenBSD: key.h,v 1.38 2013/10/29 09:42:11 djm Exp $ */ /* * Copyright (c) 2000, 2001 Markus Friedl. All rights reserved. @@ -107,6 +107,7 @@ Key *key_generate(int, u_int); Key *key_from_private(const Key *); int key_type_from_name(char *); int key_is_cert(const Key *); +int key_type_is_cert(int); int key_type_plain(int); int key_to_certified(Key *, int); int key_drop_cert(Key *); -- cgit v1.2.3 From f0e9060d236c0e38bec2fa1c6579fb0a2ea6458d Mon Sep 17 00:00:00 2001 From: Damien Miller Date: Sat, 7 Dec 2013 10:40:26 +1100 Subject: - markus@cvs.openbsd.org 2013/12/06 13:30:08 [authfd.c key.c key.h ssh-agent.c] move private key (de)serialization to key.c; ok djm --- ChangeLog | 3 + authfd.c | 57 +----------------- key.c | 193 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++- key.h | 5 +- ssh-agent.c | 133 ++++------------------------------------- 5 files changed, 213 insertions(+), 178 deletions(-) (limited to 'key.h') diff --git a/ChangeLog b/ChangeLog index f5e06c9e4..0db8ab446 100644 --- a/ChangeLog +++ b/ChangeLog @@ -9,6 +9,9 @@ remove duplicated character ('g') in getopt() string; document the (few) remaining option characters so we don't have to rummage next time. + - markus@cvs.openbsd.org 2013/12/06 13:30:08 + [authfd.c key.c key.h ssh-agent.c] + move private key (de)serialization to key.c; ok djm 20131205 - (djm) OpenBSD CVS Sync diff --git a/authfd.c b/authfd.c index 5cce93b76..2cda8b309 100644 --- a/authfd.c +++ b/authfd.c @@ -1,4 +1,4 @@ -/* $OpenBSD: authfd.c,v 1.88 2013/11/08 00:39:14 djm Exp $ */ +/* $OpenBSD: authfd.c,v 1.89 2013/12/06 13:30:08 markus Exp $ */ /* * Author: Tatu Ylonen * Copyright (c) 1995 Tatu Ylonen , Espoo, Finland @@ -42,8 +42,8 @@ #include #include - #include + #include #include #include @@ -474,58 +474,7 @@ ssh_encode_identity_rsa1(Buffer *b, RSA *key, const char *comment) static void ssh_encode_identity_ssh2(Buffer *b, Key *key, const char *comment) { - buffer_put_cstring(b, key_ssh_name(key)); - switch (key->type) { - case KEY_RSA: - buffer_put_bignum2(b, key->rsa->n); - buffer_put_bignum2(b, key->rsa->e); - buffer_put_bignum2(b, key->rsa->d); - buffer_put_bignum2(b, key->rsa->iqmp); - buffer_put_bignum2(b, key->rsa->p); - buffer_put_bignum2(b, key->rsa->q); - break; - case KEY_RSA_CERT_V00: - case KEY_RSA_CERT: - if (key->cert == NULL || buffer_len(&key->cert->certblob) == 0) - fatal("%s: no cert/certblob", __func__); - buffer_put_string(b, buffer_ptr(&key->cert->certblob), - buffer_len(&key->cert->certblob)); - buffer_put_bignum2(b, key->rsa->d); - buffer_put_bignum2(b, key->rsa->iqmp); - buffer_put_bignum2(b, key->rsa->p); - buffer_put_bignum2(b, key->rsa->q); - break; - case KEY_DSA: - buffer_put_bignum2(b, key->dsa->p); - buffer_put_bignum2(b, key->dsa->q); - buffer_put_bignum2(b, key->dsa->g); - buffer_put_bignum2(b, key->dsa->pub_key); - buffer_put_bignum2(b, key->dsa->priv_key); - break; - case KEY_DSA_CERT_V00: - case KEY_DSA_CERT: - if (key->cert == NULL || buffer_len(&key->cert->certblob) == 0) - fatal("%s: no cert/certblob", __func__); - buffer_put_string(b, buffer_ptr(&key->cert->certblob), - buffer_len(&key->cert->certblob)); - buffer_put_bignum2(b, key->dsa->priv_key); - break; -#ifdef OPENSSL_HAS_ECC - case KEY_ECDSA: - buffer_put_cstring(b, key_curve_nid_to_name(key->ecdsa_nid)); - buffer_put_ecpoint(b, EC_KEY_get0_group(key->ecdsa), - EC_KEY_get0_public_key(key->ecdsa)); - buffer_put_bignum2(b, EC_KEY_get0_private_key(key->ecdsa)); - break; - case KEY_ECDSA_CERT: - if (key->cert == NULL || buffer_len(&key->cert->certblob) == 0) - fatal("%s: no cert/certblob", __func__); - buffer_put_string(b, buffer_ptr(&key->cert->certblob), - buffer_len(&key->cert->certblob)); - buffer_put_bignum2(b, EC_KEY_get0_private_key(key->ecdsa)); - break; -#endif - } + key_private_serialize(key, b); buffer_put_cstring(b, comment); } diff --git a/key.c b/key.c index 3ee2d61af..0282e0823 100644 --- a/key.c +++ b/key.c @@ -1,4 +1,4 @@ -/* $OpenBSD: key.c,v 1.106 2013/12/02 03:09:22 djm Exp $ */ +/* $OpenBSD: key.c,v 1.107 2013/12/06 13:30:08 markus Exp $ */ /* * read_bignum(): * Copyright (c) 1995 Tatu Ylonen , Espoo, Finland @@ -2276,3 +2276,194 @@ key_dump_ec_key(const EC_KEY *key) } #endif /* defined(DEBUG_KEXECDH) || defined(DEBUG_PK) */ #endif /* OPENSSL_HAS_ECC */ + +void +key_private_serialize(const Key *key, Buffer *b) +{ + buffer_put_cstring(b, key_ssh_name(key)); + switch (key->type) { + case KEY_RSA: + buffer_put_bignum2(b, key->rsa->n); + buffer_put_bignum2(b, key->rsa->e); + buffer_put_bignum2(b, key->rsa->d); + buffer_put_bignum2(b, key->rsa->iqmp); + buffer_put_bignum2(b, key->rsa->p); + buffer_put_bignum2(b, key->rsa->q); + break; + case KEY_RSA_CERT_V00: + case KEY_RSA_CERT: + if (key->cert == NULL || buffer_len(&key->cert->certblob) == 0) + fatal("%s: no cert/certblob", __func__); + buffer_put_string(b, buffer_ptr(&key->cert->certblob), + buffer_len(&key->cert->certblob)); + buffer_put_bignum2(b, key->rsa->d); + buffer_put_bignum2(b, key->rsa->iqmp); + buffer_put_bignum2(b, key->rsa->p); + buffer_put_bignum2(b, key->rsa->q); + break; + case KEY_DSA: + buffer_put_bignum2(b, key->dsa->p); + buffer_put_bignum2(b, key->dsa->q); + buffer_put_bignum2(b, key->dsa->g); + buffer_put_bignum2(b, key->dsa->pub_key); + buffer_put_bignum2(b, key->dsa->priv_key); + break; + case KEY_DSA_CERT_V00: + case KEY_DSA_CERT: + if (key->cert == NULL || buffer_len(&key->cert->certblob) == 0) + fatal("%s: no cert/certblob", __func__); + buffer_put_string(b, buffer_ptr(&key->cert->certblob), + buffer_len(&key->cert->certblob)); + buffer_put_bignum2(b, key->dsa->priv_key); + break; +#ifdef OPENSSL_HAS_ECC + case KEY_ECDSA: + buffer_put_cstring(b, key_curve_nid_to_name(key->ecdsa_nid)); + buffer_put_ecpoint(b, EC_KEY_get0_group(key->ecdsa), + EC_KEY_get0_public_key(key->ecdsa)); + buffer_put_bignum2(b, EC_KEY_get0_private_key(key->ecdsa)); + break; + case KEY_ECDSA_CERT: + if (key->cert == NULL || buffer_len(&key->cert->certblob) == 0) + fatal("%s: no cert/certblob", __func__); + buffer_put_string(b, buffer_ptr(&key->cert->certblob), + buffer_len(&key->cert->certblob)); + buffer_put_bignum2(b, EC_KEY_get0_private_key(key->ecdsa)); + break; +#endif /* OPENSSL_HAS_ECC */ + } +} + +Key * +key_private_deserialize(Buffer *blob) +{ + char *type_name; + Key *k = NULL; + u_char *cert; + u_int len; + int type; +#ifdef OPENSSL_HAS_ECC + char *curve; + BIGNUM *exponent; + EC_POINT *q; +#endif + + type_name = buffer_get_string(blob, NULL); + type = key_type_from_name(type_name); + switch (type) { + case KEY_DSA: + k = key_new_private(type); + buffer_get_bignum2(blob, k->dsa->p); + buffer_get_bignum2(blob, k->dsa->q); + buffer_get_bignum2(blob, k->dsa->g); + buffer_get_bignum2(blob, k->dsa->pub_key); + buffer_get_bignum2(blob, k->dsa->priv_key); + break; + case KEY_DSA_CERT_V00: + case KEY_DSA_CERT: + cert = buffer_get_string(blob, &len); + if ((k = key_from_blob(cert, len)) == NULL) + fatal("Certificate parse failed"); + free(cert); + key_add_private(k); + buffer_get_bignum2(blob, k->dsa->priv_key); + break; +#ifdef OPENSSL_HAS_ECC + case KEY_ECDSA: + k = key_new_private(type); + k->ecdsa_nid = key_ecdsa_nid_from_name(type_name); + curve = buffer_get_string(blob, NULL); + if (k->ecdsa_nid != key_curve_name_to_nid(curve)) + fatal("%s: curve names mismatch", __func__); + free(curve); + k->ecdsa = EC_KEY_new_by_curve_name(k->ecdsa_nid); + if (k->ecdsa == NULL) + fatal("%s: EC_KEY_new_by_curve_name failed", + __func__); + q = EC_POINT_new(EC_KEY_get0_group(k->ecdsa)); + if (q == NULL) + fatal("%s: BN_new failed", __func__); + if ((exponent = BN_new()) == NULL) + fatal("%s: BN_new failed", __func__); + buffer_get_ecpoint(blob, + EC_KEY_get0_group(k->ecdsa), q); + buffer_get_bignum2(blob, exponent); + if (EC_KEY_set_public_key(k->ecdsa, q) != 1) + fatal("%s: EC_KEY_set_public_key failed", + __func__); + if (EC_KEY_set_private_key(k->ecdsa, exponent) != 1) + fatal("%s: EC_KEY_set_private_key failed", + __func__); + if (key_ec_validate_public(EC_KEY_get0_group(k->ecdsa), + EC_KEY_get0_public_key(k->ecdsa)) != 0) + fatal("%s: bad ECDSA public key", __func__); + if (key_ec_validate_private(k->ecdsa) != 0) + fatal("%s: bad ECDSA private key", __func__); + BN_clear_free(exponent); + EC_POINT_free(q); + break; + case KEY_ECDSA_CERT: + cert = buffer_get_string(blob, &len); + if ((k = key_from_blob(cert, len)) == NULL) + fatal("Certificate parse failed"); + free(cert); + key_add_private(k); + if ((exponent = BN_new()) == NULL) + fatal("%s: BN_new failed", __func__); + buffer_get_bignum2(blob, exponent); + if (EC_KEY_set_private_key(k->ecdsa, exponent) != 1) + fatal("%s: EC_KEY_set_private_key failed", + __func__); + if (key_ec_validate_public(EC_KEY_get0_group(k->ecdsa), + EC_KEY_get0_public_key(k->ecdsa)) != 0 || + key_ec_validate_private(k->ecdsa) != 0) + fatal("%s: bad ECDSA key", __func__); + BN_clear_free(exponent); + break; +#endif + case KEY_RSA: + k = key_new_private(type); + buffer_get_bignum2(blob, k->rsa->n); + buffer_get_bignum2(blob, k->rsa->e); + buffer_get_bignum2(blob, k->rsa->d); + buffer_get_bignum2(blob, k->rsa->iqmp); + buffer_get_bignum2(blob, k->rsa->p); + buffer_get_bignum2(blob, k->rsa->q); + + /* Generate additional parameters */ + rsa_generate_additional_parameters(k->rsa); + break; + case KEY_RSA_CERT_V00: + case KEY_RSA_CERT: + cert = buffer_get_string(blob, &len); + if ((k = key_from_blob(cert, len)) == NULL) + fatal("Certificate parse failed"); + free(cert); + key_add_private(k); + buffer_get_bignum2(blob, k->rsa->d); + buffer_get_bignum2(blob, k->rsa->iqmp); + buffer_get_bignum2(blob, k->rsa->p); + buffer_get_bignum2(blob, k->rsa->q); + break; + default: + free(type_name); + buffer_clear(blob); + return NULL; + } + free(type_name); + + /* enable blinding */ + switch (k->type) { + case KEY_RSA: + case KEY_RSA_CERT_V00: + case KEY_RSA_CERT: + case KEY_RSA1: + if (RSA_blinding_on(k->rsa, NULL) != 1) { + error("%s: RSA_blinding_on failed", __func__); + key_free(k); + return NULL; + } + break; + } + return k; +} diff --git a/key.h b/key.h index 8a78a828a..efa711769 100644 --- a/key.h +++ b/key.h @@ -1,4 +1,4 @@ -/* $OpenBSD: key.h,v 1.38 2013/10/29 09:42:11 djm Exp $ */ +/* $OpenBSD: key.h,v 1.39 2013/12/06 13:30:08 markus Exp $ */ /* * Copyright (c) 2000, 2001 Markus Friedl. All rights reserved. @@ -151,4 +151,7 @@ void key_dump_ec_point(const EC_GROUP *, const EC_POINT *); void key_dump_ec_key(const EC_KEY *); #endif +void key_private_serialize(const Key *, Buffer *); +Key *key_private_deserialize(Buffer *); + #endif diff --git a/ssh-agent.c b/ssh-agent.c index c3b11729c..0196f8f6b 100644 --- a/ssh-agent.c +++ b/ssh-agent.c @@ -1,4 +1,4 @@ -/* $OpenBSD: ssh-agent.c,v 1.177 2013/07/20 01:50:20 djm Exp $ */ +/* $OpenBSD: ssh-agent.c,v 1.178 2013/12/06 13:30:08 markus Exp $ */ /* * Author: Tatu Ylonen * Copyright (c) 1995 Tatu Ylonen , Espoo, Finland @@ -464,16 +464,9 @@ process_add_identity(SocketEntry *e, int version) Idtab *tab = idtab_lookup(version); Identity *id; int type, success = 0, confirm = 0; - char *type_name, *comment; + char *comment; time_t death = 0; Key *k = NULL; -#ifdef OPENSSL_HAS_ECC - BIGNUM *exponent; - EC_POINT *q; - char *curve; -#endif - u_char *cert; - u_int len; switch (version) { case 1: @@ -490,125 +483,21 @@ process_add_identity(SocketEntry *e, int version) /* Generate additional parameters */ rsa_generate_additional_parameters(k->rsa); - break; - case 2: - type_name = buffer_get_string(&e->request, NULL); - type = key_type_from_name(type_name); - switch (type) { - case KEY_DSA: - k = key_new_private(type); - buffer_get_bignum2(&e->request, k->dsa->p); - buffer_get_bignum2(&e->request, k->dsa->q); - buffer_get_bignum2(&e->request, k->dsa->g); - buffer_get_bignum2(&e->request, k->dsa->pub_key); - buffer_get_bignum2(&e->request, k->dsa->priv_key); - break; - case KEY_DSA_CERT_V00: - case KEY_DSA_CERT: - cert = buffer_get_string(&e->request, &len); - if ((k = key_from_blob(cert, len)) == NULL) - fatal("Certificate parse failed"); - free(cert); - key_add_private(k); - buffer_get_bignum2(&e->request, k->dsa->priv_key); - break; -#ifdef OPENSSL_HAS_ECC - case KEY_ECDSA: - k = key_new_private(type); - k->ecdsa_nid = key_ecdsa_nid_from_name(type_name); - curve = buffer_get_string(&e->request, NULL); - if (k->ecdsa_nid != key_curve_name_to_nid(curve)) - fatal("%s: curve names mismatch", __func__); - free(curve); - k->ecdsa = EC_KEY_new_by_curve_name(k->ecdsa_nid); - if (k->ecdsa == NULL) - fatal("%s: EC_KEY_new_by_curve_name failed", - __func__); - q = EC_POINT_new(EC_KEY_get0_group(k->ecdsa)); - if (q == NULL) - fatal("%s: BN_new failed", __func__); - if ((exponent = BN_new()) == NULL) - fatal("%s: BN_new failed", __func__); - buffer_get_ecpoint(&e->request, - EC_KEY_get0_group(k->ecdsa), q); - buffer_get_bignum2(&e->request, exponent); - if (EC_KEY_set_public_key(k->ecdsa, q) != 1) - fatal("%s: EC_KEY_set_public_key failed", - __func__); - if (EC_KEY_set_private_key(k->ecdsa, exponent) != 1) - fatal("%s: EC_KEY_set_private_key failed", - __func__); - if (key_ec_validate_public(EC_KEY_get0_group(k->ecdsa), - EC_KEY_get0_public_key(k->ecdsa)) != 0) - fatal("%s: bad ECDSA public key", __func__); - if (key_ec_validate_private(k->ecdsa) != 0) - fatal("%s: bad ECDSA private key", __func__); - BN_clear_free(exponent); - EC_POINT_free(q); - break; - case KEY_ECDSA_CERT: - cert = buffer_get_string(&e->request, &len); - if ((k = key_from_blob(cert, len)) == NULL) - fatal("Certificate parse failed"); - free(cert); - key_add_private(k); - if ((exponent = BN_new()) == NULL) - fatal("%s: BN_new failed", __func__); - buffer_get_bignum2(&e->request, exponent); - if (EC_KEY_set_private_key(k->ecdsa, exponent) != 1) - fatal("%s: EC_KEY_set_private_key failed", - __func__); - if (key_ec_validate_public(EC_KEY_get0_group(k->ecdsa), - EC_KEY_get0_public_key(k->ecdsa)) != 0 || - key_ec_validate_private(k->ecdsa) != 0) - fatal("%s: bad ECDSA key", __func__); - BN_clear_free(exponent); - break; -#endif /* OPENSSL_HAS_ECC */ - case KEY_RSA: - k = key_new_private(type); - buffer_get_bignum2(&e->request, k->rsa->n); - buffer_get_bignum2(&e->request, k->rsa->e); - buffer_get_bignum2(&e->request, k->rsa->d); - buffer_get_bignum2(&e->request, k->rsa->iqmp); - buffer_get_bignum2(&e->request, k->rsa->p); - buffer_get_bignum2(&e->request, k->rsa->q); - - /* Generate additional parameters */ - rsa_generate_additional_parameters(k->rsa); - break; - case KEY_RSA_CERT_V00: - case KEY_RSA_CERT: - cert = buffer_get_string(&e->request, &len); - if ((k = key_from_blob(cert, len)) == NULL) - fatal("Certificate parse failed"); - free(cert); - key_add_private(k); - buffer_get_bignum2(&e->request, k->rsa->d); - buffer_get_bignum2(&e->request, k->rsa->iqmp); - buffer_get_bignum2(&e->request, k->rsa->p); - buffer_get_bignum2(&e->request, k->rsa->q); - break; - default: - free(type_name); - buffer_clear(&e->request); - goto send; - } - free(type_name); - break; - } - /* enable blinding */ - switch (k->type) { - case KEY_RSA: - case KEY_RSA_CERT_V00: - case KEY_RSA_CERT: - case KEY_RSA1: + + /* enable blinding */ if (RSA_blinding_on(k->rsa, NULL) != 1) { error("process_add_identity: RSA_blinding_on failed"); key_free(k); goto send; } break; + case 2: + k = key_private_deserialize(&e->request); + if (k == NULL) { + buffer_clear(&e->request); + goto send; + } + break; } comment = buffer_get_string(&e->request, NULL); if (k == NULL) { -- cgit v1.2.3 From 5be9d9e3cbd9c66f24745d25bf2e809c1d158ee0 Mon Sep 17 00:00:00 2001 From: Damien Miller Date: Sat, 7 Dec 2013 11:24:01 +1100 Subject: - markus@cvs.openbsd.org 2013/12/06 13:39:49 [authfd.c authfile.c key.c key.h myproposal.h pathnames.h readconf.c] [servconf.c ssh-agent.c ssh-keygen.c ssh-keyscan.1 ssh-keyscan.c] [ssh-keysign.c ssh.c ssh_config.5 sshd.8 sshd.c verify.c ssh-ed25519.c] [sc25519.h sc25519.c hash.c ge25519_base.data ge25519.h ge25519.c] [fe25519.h fe25519.c ed25519.c crypto_api.h blocks.c] support ed25519 keys (hostkeys and user identities) using the public domain ed25519 reference code from SUPERCOP, see http://ed25519.cr.yp.to/software.html feedback, help & ok djm@ --- ChangeLog | 10 + authfd.c | 4 +- authfile.c | 10 +- blocks.c | 243 ++++++++++++++++ crypto_api.h | 43 +++ ed25519.c | 139 +++++++++ fe25519.c | 331 +++++++++++++++++++++ fe25519.h | 66 +++++ ge25519.c | 315 ++++++++++++++++++++ ge25519.h | 39 +++ ge25519_base.data | 854 ++++++++++++++++++++++++++++++++++++++++++++++++++++++ hash.c | 74 +++++ key.c | 193 ++++++++++-- key.h | 13 +- myproposal.h | 4 +- pathnames.h | 4 +- readconf.c | 4 +- sc25519.c | 302 +++++++++++++++++++ sc25519.h | 76 +++++ servconf.c | 4 +- ssh-agent.c | 3 +- ssh-ed25519.c | 141 +++++++++ ssh-keygen.c | 11 +- ssh-keyscan.1 | 5 +- ssh-keyscan.c | 16 +- ssh-keysign.c | 5 +- ssh.c | 17 +- ssh_config.5 | 6 +- sshd.8 | 5 +- sshd.c | 6 +- verify.c | 44 +++ 31 files changed, 2932 insertions(+), 55 deletions(-) create mode 100644 blocks.c create mode 100644 crypto_api.h create mode 100644 ed25519.c create mode 100644 fe25519.c create mode 100644 fe25519.h create mode 100644 ge25519.c create mode 100644 ge25519.h create mode 100644 ge25519_base.data create mode 100644 hash.c create mode 100644 sc25519.c create mode 100644 sc25519.h create mode 100644 ssh-ed25519.c create mode 100644 verify.c (limited to 'key.h') diff --git a/ChangeLog b/ChangeLog index 76854907d..42e00382b 100644 --- a/ChangeLog +++ b/ChangeLog @@ -17,6 +17,16 @@ [ssh-keygen.c PROTOCOL.key] new private key format, bcrypt as KDF by default; details in PROTOCOL.key; feedback and lots help from djm; ok djm@ + - markus@cvs.openbsd.org 2013/12/06 13:39:49 + [authfd.c authfile.c key.c key.h myproposal.h pathnames.h readconf.c] + [servconf.c ssh-agent.c ssh-keygen.c ssh-keyscan.1 ssh-keyscan.c] + [ssh-keysign.c ssh.c ssh_config.5 sshd.8 sshd.c verify.c ssh-ed25519.c] + [sc25519.h sc25519.c hash.c ge25519_base.data ge25519.h ge25519.c] + [fe25519.h fe25519.c ed25519.c crypto_api.h blocks.c] + support ed25519 keys (hostkeys and user identities) using the public + domain ed25519 reference code from SUPERCOP, see + http://ed25519.cr.yp.to/software.html + feedback, help & ok djm@ 20131205 - (djm) OpenBSD CVS Sync diff --git a/authfd.c b/authfd.c index 2cda8b309..0971cee32 100644 --- a/authfd.c +++ b/authfd.c @@ -1,4 +1,4 @@ -/* $OpenBSD: authfd.c,v 1.89 2013/12/06 13:30:08 markus Exp $ */ +/* $OpenBSD: authfd.c,v 1.90 2013/12/06 13:39:49 markus Exp $ */ /* * Author: Tatu Ylonen * Copyright (c) 1995 Tatu Ylonen , Espoo, Finland @@ -508,6 +508,8 @@ ssh_add_identity_constrained(AuthenticationConnection *auth, Key *key, case KEY_DSA_CERT_V00: case KEY_ECDSA: case KEY_ECDSA_CERT: + case KEY_ED25519: + case KEY_ED25519_CERT: type = constrained ? SSH2_AGENTC_ADD_ID_CONSTRAINED : SSH2_AGENTC_ADD_IDENTITY; diff --git a/authfile.c b/authfile.c index e38a3dd14..b0fc23e6a 100644 --- a/authfile.c +++ b/authfile.c @@ -1,4 +1,4 @@ -/* $OpenBSD: authfile.c,v 1.99 2013/12/06 13:34:54 markus Exp $ */ +/* $OpenBSD: authfile.c,v 1.100 2013/12/06 13:39:49 markus Exp $ */ /* * Author: Tatu Ylonen * Copyright (c) 1995 Tatu Ylonen , Espoo, Finland @@ -50,6 +50,8 @@ /* compatibility with old or broken OpenSSL versions */ #include "openbsd-compat/openssl-compat.h" +#include "crypto_api.h" + #include #include #include @@ -593,6 +595,9 @@ key_private_to_blob(Key *key, Buffer *blob, const char *passphrase, comment, new_format_cipher, new_format_rounds); } return key_private_pem_to_blob(key, blob, passphrase, comment); + case KEY_ED25519: + return key_private_to_blob2(key, blob, passphrase, + comment, new_format_cipher, new_format_rounds); default: error("%s: cannot save key type %d", __func__, key->type); return 0; @@ -997,6 +1002,9 @@ key_parse_private_type(Buffer *blob, int type, const char *passphrase, case KEY_DSA: case KEY_ECDSA: case KEY_RSA: + return key_parse_private_pem(blob, type, passphrase, commentp); + case KEY_ED25519: + return key_parse_private2(blob, type, passphrase, commentp); case KEY_UNSPEC: if ((k = key_parse_private2(blob, type, passphrase, commentp))) return k; diff --git a/blocks.c b/blocks.c new file mode 100644 index 000000000..95c57af52 --- /dev/null +++ b/blocks.c @@ -0,0 +1,243 @@ +/* $OpenBSD: */ + +/* Public Domain, from supercop-20130419/crypto_hashblocks/sha512/ref/blocks.c */ + +#include "crypto_api.h" + +typedef unsigned long long uint64; + +static uint64 load_bigendian(const unsigned char *x) +{ + return + (uint64) (x[7]) \ + | (((uint64) (x[6])) << 8) \ + | (((uint64) (x[5])) << 16) \ + | (((uint64) (x[4])) << 24) \ + | (((uint64) (x[3])) << 32) \ + | (((uint64) (x[2])) << 40) \ + | (((uint64) (x[1])) << 48) \ + | (((uint64) (x[0])) << 56) + ; +} + +static void store_bigendian(unsigned char *x,uint64 u) +{ + x[7] = u; u >>= 8; + x[6] = u; u >>= 8; + x[5] = u; u >>= 8; + x[4] = u; u >>= 8; + x[3] = u; u >>= 8; + x[2] = u; u >>= 8; + x[1] = u; u >>= 8; + x[0] = u; +} + +#define SHR(x,c) ((x) >> (c)) +#define ROTR(x,c) (((x) >> (c)) | ((x) << (64 - (c)))) + +#define Ch(x,y,z) ((x & y) ^ (~x & z)) +#define Maj(x,y,z) ((x & y) ^ (x & z) ^ (y & z)) +#define Sigma0(x) (ROTR(x,28) ^ ROTR(x,34) ^ ROTR(x,39)) +#define Sigma1(x) (ROTR(x,14) ^ ROTR(x,18) ^ ROTR(x,41)) +#define sigma0(x) (ROTR(x, 1) ^ ROTR(x, 8) ^ SHR(x,7)) +#define sigma1(x) (ROTR(x,19) ^ ROTR(x,61) ^ SHR(x,6)) + +#define M(w0,w14,w9,w1) w0 = sigma1(w14) + w9 + sigma0(w1) + w0; + +#define EXPAND \ + M(w0 ,w14,w9 ,w1 ) \ + M(w1 ,w15,w10,w2 ) \ + M(w2 ,w0 ,w11,w3 ) \ + M(w3 ,w1 ,w12,w4 ) \ + M(w4 ,w2 ,w13,w5 ) \ + M(w5 ,w3 ,w14,w6 ) \ + M(w6 ,w4 ,w15,w7 ) \ + M(w7 ,w5 ,w0 ,w8 ) \ + M(w8 ,w6 ,w1 ,w9 ) \ + M(w9 ,w7 ,w2 ,w10) \ + M(w10,w8 ,w3 ,w11) \ + M(w11,w9 ,w4 ,w12) \ + M(w12,w10,w5 ,w13) \ + M(w13,w11,w6 ,w14) \ + M(w14,w12,w7 ,w15) \ + M(w15,w13,w8 ,w0 ) + +#define F(w,k) \ + T1 = h + Sigma1(e) + Ch(e,f,g) + k + w; \ + T2 = Sigma0(a) + Maj(a,b,c); \ + h = g; \ + g = f; \ + f = e; \ + e = d + T1; \ + d = c; \ + c = b; \ + b = a; \ + a = T1 + T2; + +int crypto_hashblocks_sha512(unsigned char *statebytes,const unsigned char *in,unsigned long long inlen) +{ + uint64 state[8]; + uint64 a; + uint64 b; + uint64 c; + uint64 d; + uint64 e; + uint64 f; + uint64 g; + uint64 h; + uint64 T1; + uint64 T2; + + a = load_bigendian(statebytes + 0); state[0] = a; + b = load_bigendian(statebytes + 8); state[1] = b; + c = load_bigendian(statebytes + 16); state[2] = c; + d = load_bigendian(statebytes + 24); state[3] = d; + e = load_bigendian(statebytes + 32); state[4] = e; + f = load_bigendian(statebytes + 40); state[5] = f; + g = load_bigendian(statebytes + 48); state[6] = g; + h = load_bigendian(statebytes + 56); state[7] = h; + + while (inlen >= 128) { + uint64 w0 = load_bigendian(in + 0); + uint64 w1 = load_bigendian(in + 8); + uint64 w2 = load_bigendian(in + 16); + uint64 w3 = load_bigendian(in + 24); + uint64 w4 = load_bigendian(in + 32); + uint64 w5 = load_bigendian(in + 40); + uint64 w6 = load_bigendian(in + 48); + uint64 w7 = load_bigendian(in + 56); + uint64 w8 = load_bigendian(in + 64); + uint64 w9 = load_bigendian(in + 72); + uint64 w10 = load_bigendian(in + 80); + uint64 w11 = load_bigendian(in + 88); + uint64 w12 = load_bigendian(in + 96); + uint64 w13 = load_bigendian(in + 104); + uint64 w14 = load_bigendian(in + 112); + uint64 w15 = load_bigendian(in + 120); + + F(w0 ,0x428a2f98d728ae22ULL) + F(w1 ,0x7137449123ef65cdULL) + F(w2 ,0xb5c0fbcfec4d3b2fULL) + F(w3 ,0xe9b5dba58189dbbcULL) + F(w4 ,0x3956c25bf348b538ULL) + F(w5 ,0x59f111f1b605d019ULL) + F(w6 ,0x923f82a4af194f9bULL) + F(w7 ,0xab1c5ed5da6d8118ULL) + F(w8 ,0xd807aa98a3030242ULL) + F(w9 ,0x12835b0145706fbeULL) + F(w10,0x243185be4ee4b28cULL) + F(w11,0x550c7dc3d5ffb4e2ULL) + F(w12,0x72be5d74f27b896fULL) + F(w13,0x80deb1fe3b1696b1ULL) + F(w14,0x9bdc06a725c71235ULL) + F(w15,0xc19bf174cf692694ULL) + + EXPAND + + F(w0 ,0xe49b69c19ef14ad2ULL) + F(w1 ,0xefbe4786384f25e3ULL) + F(w2 ,0x0fc19dc68b8cd5b5ULL) + F(w3 ,0x240ca1cc77ac9c65ULL) + F(w4 ,0x2de92c6f592b0275ULL) + F(w5 ,0x4a7484aa6ea6e483ULL) + F(w6 ,0x5cb0a9dcbd41fbd4ULL) + F(w7 ,0x76f988da831153b5ULL) + F(w8 ,0x983e5152ee66dfabULL) + F(w9 ,0xa831c66d2db43210ULL) + F(w10,0xb00327c898fb213fULL) + F(w11,0xbf597fc7beef0ee4ULL) + F(w12,0xc6e00bf33da88fc2ULL) + F(w13,0xd5a79147930aa725ULL) + F(w14,0x06ca6351e003826fULL) + F(w15,0x142929670a0e6e70ULL) + + EXPAND + + F(w0 ,0x27b70a8546d22ffcULL) + F(w1 ,0x2e1b21385c26c926ULL) + F(w2 ,0x4d2c6dfc5ac42aedULL) + F(w3 ,0x53380d139d95b3dfULL) + F(w4 ,0x650a73548baf63deULL) + F(w5 ,0x766a0abb3c77b2a8ULL) + F(w6 ,0x81c2c92e47edaee6ULL) + F(w7 ,0x92722c851482353bULL) + F(w8 ,0xa2bfe8a14cf10364ULL) + F(w9 ,0xa81a664bbc423001ULL) + F(w10,0xc24b8b70d0f89791ULL) + F(w11,0xc76c51a30654be30ULL) + F(w12,0xd192e819d6ef5218ULL) + F(w13,0xd69906245565a910ULL) + F(w14,0xf40e35855771202aULL) + F(w15,0x106aa07032bbd1b8ULL) + + EXPAND + + F(w0 ,0x19a4c116b8d2d0c8ULL) + F(w1 ,0x1e376c085141ab53ULL) + F(w2 ,0x2748774cdf8eeb99ULL) + F(w3 ,0x34b0bcb5e19b48a8ULL) + F(w4 ,0x391c0cb3c5c95a63ULL) + F(w5 ,0x4ed8aa4ae3418acbULL) + F(w6 ,0x5b9cca4f7763e373ULL) + F(w7 ,0x682e6ff3d6b2b8a3ULL) + F(w8 ,0x748f82ee5defb2fcULL) + F(w9 ,0x78a5636f43172f60ULL) + F(w10,0x84c87814a1f0ab72ULL) + F(w11,0x8cc702081a6439ecULL) + F(w12,0x90befffa23631e28ULL) + F(w13,0xa4506cebde82bde9ULL) + F(w14,0xbef9a3f7b2c67915ULL) + F(w15,0xc67178f2e372532bULL) + + EXPAND + + F(w0 ,0xca273eceea26619cULL) + F(w1 ,0xd186b8c721c0c207ULL) + F(w2 ,0xeada7dd6cde0eb1eULL) + F(w3 ,0xf57d4f7fee6ed178ULL) + F(w4 ,0x06f067aa72176fbaULL) + F(w5 ,0x0a637dc5a2c898a6ULL) + F(w6 ,0x113f9804bef90daeULL) + F(w7 ,0x1b710b35131c471bULL) + F(w8 ,0x28db77f523047d84ULL) + F(w9 ,0x32caab7b40c72493ULL) + F(w10,0x3c9ebe0a15c9bebcULL) + F(w11,0x431d67c49c100d4cULL) + F(w12,0x4cc5d4becb3e42b6ULL) + F(w13,0x597f299cfc657e2aULL) + F(w14,0x5fcb6fab3ad6faecULL) + F(w15,0x6c44198c4a475817ULL) + + a += state[0]; + b += state[1]; + c += state[2]; + d += state[3]; + e += state[4]; + f += state[5]; + g += state[6]; + h += state[7]; + + state[0] = a; + state[1] = b; + state[2] = c; + state[3] = d; + state[4] = e; + state[5] = f; + state[6] = g; + state[7] = h; + + in += 128; + inlen -= 128; + } + + store_bigendian(statebytes + 0,state[0]); + store_bigendian(statebytes + 8,state[1]); + store_bigendian(statebytes + 16,state[2]); + store_bigendian(statebytes + 24,state[3]); + store_bigendian(statebytes + 32,state[4]); + store_bigendian(statebytes + 40,state[5]); + store_bigendian(statebytes + 48,state[6]); + store_bigendian(statebytes + 56,state[7]); + + return inlen; +} diff --git a/crypto_api.h b/crypto_api.h new file mode 100644 index 000000000..633463dca --- /dev/null +++ b/crypto_api.h @@ -0,0 +1,43 @@ +/* $OpenBSD: crypto_api.h,v 1.1 2013/12/06 13:39:49 markus Exp $ */ + +/* Placed in the public domain. */ + +#ifndef crypto_api_h +#define crypto_api_h + +#include +#include + +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_BYTES crypto_sign_ed25519_BYTES +#define crypto_sign_PUBLICKEYBYTES crypto_sign_ed25519_PUBLICKEYBYTES +#define crypto_sign_SECRETKEYBYTES crypto_sign_ed25519_SECRETKEYBYTES + +#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/ed25519.c b/ed25519.c new file mode 100644 index 000000000..da9673a0b --- /dev/null +++ b/ed25519.c @@ -0,0 +1,139 @@ +/* $OpenBSD: */ + +/* Public Domain, from supercop-20130419/crypto_sign/ed25519/ref/ed25519.c */ + +#include "crypto_api.h" + +#include "ge25519.h" + +static void get_hram(unsigned char *hram, const unsigned char *sm, const unsigned char *pk, unsigned char *playground, unsigned long long smlen) +{ + unsigned long long i; + + for (i = 0;i < 32;++i) playground[i] = sm[i]; + for (i = 32;i < 64;++i) playground[i] = pk[i-32]; + for (i = 64;i < smlen;++i) playground[i] = sm[i]; + + crypto_hash_sha512(hram,playground,smlen); +} + + +int crypto_sign_ed25519_keypair( + unsigned char *pk, + unsigned char *sk + ) +{ + sc25519 scsk; + ge25519 gepk; + unsigned char extsk[64]; + int i; + + randombytes(sk, 32); + crypto_hash_sha512(extsk, sk, 32); + extsk[0] &= 248; + extsk[31] &= 127; + extsk[31] |= 64; + + sc25519_from32bytes(&scsk,extsk); + + ge25519_scalarmult_base(&gepk, &scsk); + ge25519_pack(pk, &gepk); + for(i=0;i<32;i++) + sk[32 + i] = pk[i]; + return 0; +} + +int crypto_sign_ed25519( + unsigned char *sm,unsigned long long *smlen, + const unsigned char *m,unsigned long long mlen, + const unsigned char *sk + ) +{ + sc25519 sck, scs, scsk; + ge25519 ger; + unsigned char r[32]; + unsigned char s[32]; + unsigned char extsk[64]; + unsigned long long i; + unsigned char hmg[crypto_hash_sha512_BYTES]; + unsigned char hram[crypto_hash_sha512_BYTES]; + + crypto_hash_sha512(extsk, sk, 32); + extsk[0] &= 248; + extsk[31] &= 127; + extsk[31] |= 64; + + *smlen = mlen+64; + for(i=0;i>= 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/fe25519.h b/fe25519.h new file mode 100644 index 000000000..696a67be7 --- /dev/null +++ b/fe25519.h @@ -0,0 +1,66 @@ +/* $OpenBSD: */ + +/* Public Domain, 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/ge25519.c b/ge25519.c new file mode 100644 index 000000000..edc97588c --- /dev/null +++ b/ge25519.c @@ -0,0 +1,315 @@ +/* $OpenBSD: */ + +/* Public Domain, 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/ge25519.h b/ge25519.h new file mode 100644 index 000000000..2a7b893bc --- /dev/null +++ b/ge25519.h @@ -0,0 +1,39 @@ +/* $OpenBSD: */ + +/* Public Domain, 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/ge25519_base.data b/ge25519_base.data new file mode 100644 index 000000000..1562b4561 --- /dev/null +++ b/ge25519_base.data @@ -0,0 +1,854 @@ +/* $OpenBSD: */ + +/* Public Domain, 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}} , + {{0xb4, 0xb9, 0x37, 0xfc, 0xa9, 0x5b, 0x2f, 0x1e, 0x93, 0xe4, 0x1e, 0x62, 0xfc, 0x3c, 0x78, 0x81, 0x8f, 0xf3, 0x8a, 0x66, 0x09, 0x6f, 0xad, 0x6e, 0x79, 0x73, 0xe5, 0xc9, 0x00, 0x06, 0xd3, 0x21}}}, +{{{0xf8, 0xf9, 0x28, 0x6c, 0x6d, 0x59, 0xb2, 0x59, 0x74, 0x23, 0xbf, 0xe7, 0x33, 0x8d, 0x57, 0x09, 0x91, 0x9c, 0x24, 0x08, 0x15, 0x2b, 0xe2, 0xb8, 0xee, 0x3a, 0xe5, 0x27, 0x06, 0x86, 0xa4, 0x23}} , + {{0xeb, 0x27, 0x67, 0xc1, 0x37, 0xab, 0x7a, 0xd8, 0x27, 0x9c, 0x07, 0x8e, 0xff, 0x11, 0x6a, 0xb0, 0x78, 0x6e, 0xad, 0x3a, 0x2e, 0x0f, 0x98, 0x9f, 0x72, 0xc3, 0x7f, 0x82, 0xf2, 0x96, 0x96, 0x70}}}, +{{{0x81, 0x6b, 0x88, 0xe8, 0x1e, 0xc7, 0x77, 0x96, 0x0e, 0xa1, 0xa9, 0x52, 0xe0, 0xd8, 0x0e, 0x61, 0x9e, 0x79, 0x2d, 0x95, 0x9c, 0x8d, 0x96, 0xe0, 0x06, 0x40, 0x5d, 0x87, 0x28, 0x5f, 0x98, 0x70}} , + {{0xf1, 0x79, 0x7b, 0xed, 0x4f, 0x44, 0xb2, 0xe7, 0x08, 0x0d, 0xc2, 0x08, 0x12, 0xd2, 0x9f, 0xdf, 0xcd, 0x93, 0x20, 0x8a, 0xcf, 0x33, 0xca, 0x6d, 0x89, 0xb9, 0x77, 0xc8, 0x93, 0x1b, 0x4e, 0x60}}}, +{{{0x26, 0x4f, 0x7e, 0x97, 0xf6, 0x40, 0xdd, 0x4f, 0xfc, 0x52, 0x78, 0xf9, 0x90, 0x31, 0x03, 0xe6, 0x7d, 0x56, 0x39, 0x0b, 0x1d, 0x56, 0x82, 0x85, 0xf9, 0x1a, 0x42, 0x17, 0x69, 0x6c, 0xcf, 0x39}} , + {{0x69, 0xd2, 0x06, 0x3a, 0x4f, 0x39, 0x2d, 0xf9, 0x38, 0x40, 0x8c, 0x4c, 0xe7, 0x05, 0x12, 0xb4, 0x78, 0x8b, 0xf8, 0xc0, 0xec, 0x93, 0xde, 0x7a, 0x6b, 0xce, 0x2c, 0xe1, 0x0e, 0xa9, 0x34, 0x44}}}, +{{{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}}}, +{{{0x0b, 0xa4, 0x3c, 0xb0, 0x0f, 0x7a, 0x51, 0xf1, 0x78, 0xd6, 0xd9, 0x6a, 0xfd, 0x46, 0xe8, 0xb8, 0xa8, 0x79, 0x1d, 0x87, 0xf9, 0x90, 0xf2, 0x9c, 0x13, 0x29, 0xf8, 0x0b, 0x20, 0x64, 0xfa, 0x05}} , + {{0x26, 0x09, 0xda, 0x17, 0xaf, 0x95, 0xd6, 0xfb, 0x6a, 0x19, 0x0d, 0x6e, 0x5e, 0x12, 0xf1, 0x99, 0x4c, 0xaa, 0xa8, 0x6f, 0x79, 0x86, 0xf4, 0x72, 0x28, 0x00, 0x26, 0xf9, 0xea, 0x9e, 0x19, 0x3d}}}, +{{{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}} , + {{0xfc, 0x86, 0x4b, 0x08, 0xee, 0xe7, 0xa0, 0xfd, 0x21, 0x45, 0x09, 0x34, 0xc1, 0x61, 0x32, 0x23, 0xfc, 0x9b, 0x55, 0x48, 0x53, 0x99, 0xf7, 0x63, 0xd0, 0x99, 0xce, 0x01, 0xe0, 0x9f, 0xeb, 0x28}}}, +{{{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}} , + {{0x1c, 0x59, 0x1c, 0x65, 0x5d, 0x34, 0xa4, 0x09, 0xcd, 0x13, 0x9c, 0x70, 0x7d, 0xb1, 0x2a, 0xc5, 0x88, 0xaf, 0x0b, 0x60, 0xc7, 0x9f, 0x34, 0x8d, 0xd6, 0xb7, 0x7f, 0xea, 0x78, 0x65, 0x8d, 0x77}}}, +{{{0x56, 0xa5, 0xc2, 0x0c, 0xdd, 0xbc, 0xb8, 0x20, 0x6d, 0x57, 0x61, 0xb5, 0xfb, 0x78, 0xb5, 0xd4, 0x49, 0x54, 0x90, 0x26, 0xc1, 0xcb, 0xe9, 0xe6, 0xbf, 0xec, 0x1d, 0x4e, 0xed, 0x07, 0x7e, 0x5e}} , + {{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}}}, +{{{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}}}, +{{{0x0a, 0x34, 0xcd, 0x82, 0x3c, 0x33, 0x09, 0x54, 0xd2, 0x61, 0x39, 0x30, 0x9b, 0xfd, 0xef, 0x21, 0x26, 0xd4, 0x70, 0xfa, 0xee, 0xf9, 0x31, 0x33, 0x73, 0x84, 0xd0, 0xb3, 0x81, 0xbf, 0xec, 0x2e}} , + {{0xe8, 0x93, 0x8b, 0x00, 0x64, 0xf7, 0x9c, 0xb8, 0x74, 0xe0, 0xe6, 0x49, 0x48, 0x4d, 0x4d, 0x48, 0xb6, 0x19, 0xa1, 0x40, 0xb7, 0xd9, 0x32, 0x41, 0x7c, 0x82, 0x37, 0xa1, 0x2d, 0xdc, 0xd2, 0x54}}}, +{{{0x68, 0x2b, 0x4a, 0x5b, 0xd5, 0xc7, 0x51, 0x91, 0x1d, 0xe1, 0x2a, 0x4b, 0xc4, 0x47, 0xf1, 0xbc, 0x7a, 0xb3, 0xcb, 0xc8, 0xb6, 0x7c, 0xac, 0x90, 0x05, 0xfd, 0xf3, 0xf9, 0x52, 0x3a, 0x11, 0x6b}} , + {{0x3d, 0xc1, 0x27, 0xf3, 0x59, 0x43, 0x95, 0x90, 0xc5, 0x96, 0x79, 0xf5, 0xf4, 0x95, 0x65, 0x29, 0x06, 0x9c, 0x51, 0x05, 0x18, 0xda, 0xb8, 0x2e, 0x79, 0x7e, 0x69, 0x59, 0x71, 0x01, 0xeb, 0x1a}}}, +{{{0x15, 0x06, 0x49, 0xb6, 0x8a, 0x3c, 0xea, 0x2f, 0x34, 0x20, 0x14, 0xc3, 0xaa, 0xd6, 0xaf, 0x2c, 0x3e, 0xbd, 0x65, 0x20, 0xe2, 0x4d, 0x4b, 0x3b, 0xeb, 0x9f, 0x4a, 0xc3, 0xad, 0xa4, 0x3b, 0x60}} , + {{0xbc, 0x58, 0xe6, 0xc0, 0x95, 0x2a, 0x2a, 0x81, 0x9a, 0x7a, 0xf3, 0xd2, 0x06, 0xbe, 0x48, 0xbc, 0x0c, 0xc5, 0x46, 0xe0, 0x6a, 0xd4, 0xac, 0x0f, 0xd9, 0xcc, 0x82, 0x34, 0x2c, 0xaf, 0xdb, 0x1f}}}, +{{{0xf7, 0x17, 0x13, 0xbd, 0xfb, 0xbc, 0xd2, 0xec, 0x45, 0xb3, 0x15, 0x31, 0xe9, 0xaf, 0x82, 0x84, 0x3d, 0x28, 0xc6, 0xfc, 0x11, 0xf5, 0x41, 0xb5, 0x8b, 0xd3, 0x12, 0x76, 0x52, 0xe7, 0x1a, 0x3c}} , + {{0x4e, 0x36, 0x11, 0x07, 0xa2, 0x15, 0x20, 0x51, 0xc4, 0x2a, 0xc3, 0x62, 0x8b, 0x5e, 0x7f, 0xa6, 0x0f, 0xf9, 0x45, 0x85, 0x6c, 0x11, 0x86, 0xb7, 0x7e, 0xe5, 0xd7, 0xf9, 0xc3, 0x91, 0x1c, 0x05}}}, +{{{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}}}, +{{{0xea, 0xd6, 0xde, 0x29, 0x3a, 0x00, 0xb9, 0x02, 0x59, 0xcb, 0x26, 0xc4, 0xba, 0x99, 0xb1, 0x97, 0x2f, 0x8e, 0x00, 0x92, 0x26, 0x4f, 0x52, 0xeb, 0x47, 0x1b, 0x89, 0x8b, 0x24, 0xc0, 0x13, 0x7d}} , + {{0xd5, 0x20, 0x5b, 0x80, 0xa6, 0x80, 0x20, 0x95, 0xc3, 0xe9, 0x9f, 0x8e, 0x87, 0x9e, 0x1e, 0x9e, 0x7a, 0xc7, 0xcc, 0x75, 0x6c, 0xa5, 0xf1, 0x91, 0x1a, 0xa8, 0x01, 0x2c, 0xab, 0x76, 0xa9, 0x59}}}, +{{{0xde, 0xc9, 0xb1, 0x31, 0x10, 0x16, 0xaa, 0x35, 0x14, 0x6a, 0xd4, 0xb5, 0x34, 0x82, 0x71, 0xd2, 0x4a, 0x5d, 0x9a, 0x1f, 0x53, 0x26, 0x3c, 0xe5, 0x8e, 0x8d, 0x33, 0x7f, 0xff, 0xa9, 0xd5, 0x17}} , + {{0x89, 0xaf, 0xf6, 0xa4, 0x64, 0xd5, 0x10, 0xe0, 0x1d, 0xad, 0xef, 0x44, 0xbd, 0xda, 0x83, 0xac, 0x7a, 0xa8, 0xf0, 0x1c, 0x07, 0xf9, 0xc3, 0x43, 0x6c, 0x3f, 0xb7, 0xd3, 0x87, 0x22, 0x02, 0x73}}}, +{{{0x64, 0x1d, 0x49, 0x13, 0x2f, 0x71, 0xec, 0x69, 0x87, 0xd0, 0x42, 0xee, 0x13, 0xec, 0xe3, 0xed, 0x56, 0x7b, 0xbf, 0xbd, 0x8c, 0x2f, 0x7d, 0x7b, 0x9d, 0x28, 0xec, 0x8e, 0x76, 0x2f, 0x6f, 0x08}} , + {{0x22, 0xf5, 0x5f, 0x4d, 0x15, 0xef, 0xfc, 0x4e, 0x57, 0x03, 0x36, 0x89, 0xf0, 0xeb, 0x5b, 0x91, 0xd6, 0xe2, 0xca, 0x01, 0xa5, 0xee, 0x52, 0xec, 0xa0, 0x3c, 0x8f, 0x33, 0x90, 0x5a, 0x94, 0x72}}}, +{{{0x8a, 0x4b, 0xe7, 0x38, 0xbc, 0xda, 0xc2, 0xb0, 0x85, 0xe1, 0x4a, 0xfe, 0x2d, 0x44, 0x84, 0xcb, 0x20, 0x6b, 0x2d, 0xbf, 0x11, 0x9c, 0xd7, 0xbe, 0xd3, 0x3e, 0x5f, 0xbf, 0x68, 0xbc, 0xa8, 0x07}} , + {{0x01, 0x89, 0x28, 0x22, 0x6a, 0x78, 0xaa, 0x29, 0x03, 0xc8, 0x74, 0x95, 0x03, 0x3e, 0xdc, 0xbd, 0x07, 0x13, 0xa8, 0xa2, 0x20, 0x2d, 0xb3, 0x18, 0x70, 0x42, 0xfd, 0x7a, 0xc4, 0xd7, 0x49, 0x72}}}, +{{{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}}}, +{{{0x02, 0xff, 0x32, 0x2b, 0x5c, 0x93, 0x54, 0x32, 0xe8, 0x57, 0x54, 0x1a, 0x8b, 0x33, 0x60, 0x65, 0xd3, 0x67, 0xa4, 0xc1, 0x26, 0xc4, 0xa4, 0x34, 0x1f, 0x9b, 0xa7, 0xa9, 0xf4, 0xd9, 0x4f, 0x5b}} , + {{0x46, 0x8d, 0xb0, 0x33, 0x54, 0x26, 0x5b, 0x68, 0xdf, 0xbb, 0xc5, 0xec, 0xc2, 0xf9, 0x3c, 0x5a, 0x37, 0xc1, 0x8e, 0x27, 0x47, 0xaa, 0x49, 0x5a, 0xf8, 0xfb, 0x68, 0x04, 0x23, 0xd1, 0xeb, 0x40}}}, +{{{0x65, 0xa5, 0x11, 0x84, 0x8a, 0x67, 0x9d, 0x9e, 0xd1, 0x44, 0x68, 0x7a, 0x34, 0xe1, 0x9f, 0xa3, 0x54, 0xcd, 0x07, 0xca, 0x79, 0x1f, 0x54, 0x2f, 0x13, 0x70, 0x4e, 0xee, 0xa2, 0xfa, 0xe7, 0x5d}} , + {{0x36, 0xec, 0x54, 0xf8, 0xce, 0xe4, 0x85, 0xdf, 0xf6, 0x6f, 0x1d, 0x90, 0x08, 0xbc, 0xe8, 0xc0, 0x92, 0x2d, 0x43, 0x6b, 0x92, 0xa9, 0x8e, 0xab, 0x0a, 0x2e, 0x1c, 0x1e, 0x64, 0x23, 0x9f, 0x2c}}}, +{{{0xa7, 0xd6, 0x2e, 0xd5, 0xcc, 0xd4, 0xcb, 0x5a, 0x3b, 0xa7, 0xf9, 0x46, 0x03, 0x1d, 0xad, 0x2b, 0x34, 0x31, 0x90, 0x00, 0x46, 0x08, 0x82, 0x14, 0xc4, 0xe0, 0x9c, 0xf0, 0xe3, 0x55, 0x43, 0x31}} , + {{0x60, 0xd6, 0xdd, 0x78, 0xe6, 0xd4, 0x22, 0x42, 0x1f, 0x00, 0xf9, 0xb1, 0x6a, 0x63, 0xe2, 0x92, 0x59, 0xd1, 0x1a, 0xb7, 0x00, 0x54, 0x29, 0xc9, 0xc1, 0xf6, 0x6f, 0x7a, 0xc5, 0x3c, 0x5f, 0x65}}}, +{{{0x27, 0x4f, 0xd0, 0x72, 0xb1, 0x11, 0x14, 0x27, 0x15, 0x94, 0x48, 0x81, 0x7e, 0x74, 0xd8, 0x32, 0xd5, 0xd1, 0x11, 0x28, 0x60, 0x63, 0x36, 0x32, 0x37, 0xb5, 0x13, 0x1c, 0xa0, 0x37, 0xe3, 0x74}} , + {{0xf1, 0x25, 0x4e, 0x11, 0x96, 0x67, 0xe6, 0x1c, 0xc2, 0xb2, 0x53, 0xe2, 0xda, 0x85, 0xee, 0xb2, 0x9f, 0x59, 0xf3, 0xba, 0xbd, 0xfa, 0xcf, 0x6e, 0xf9, 0xda, 0xa4, 0xb3, 0x02, 0x8f, 0x64, 0x08}}}, +{{{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}}}, +{{{0x34, 0x94, 0xf2, 0x64, 0x54, 0x47, 0x37, 0x07, 0x40, 0x8a, 0x20, 0xba, 0x4a, 0x55, 0xd7, 0x3f, 0x47, 0xba, 0x25, 0x23, 0x14, 0xb0, 0x2c, 0xe8, 0x55, 0xa8, 0xa6, 0xef, 0x51, 0xbd, 0x6f, 0x6a}} , + {{0x71, 0xd6, 0x16, 0x76, 0xb2, 0x06, 0xea, 0x79, 0xf5, 0xc4, 0xc3, 0x52, 0x7e, 0x61, 0xd1, 0xe1, 0xad, 0x70, 0x78, 0x1d, 0x16, 0x11, 0xf8, 0x7c, 0x2b, 0xfc, 0x55, 0x9f, 0x52, 0xf8, 0xf5, 0x16}}}, +{{{0x34, 0x96, 0x9a, 0xf6, 0xc5, 0xe0, 0x14, 0x03, 0x24, 0x0e, 0x4c, 0xad, 0x9e, 0x9a, 0x70, 0x23, 0x96, 0xb2, 0xf1, 0x2e, 0x9d, 0xc3, 0x32, 0x9b, 0x54, 0xa5, 0x73, 0xde, 0x88, 0xb1, 0x3e, 0x24}} , + {{0xf6, 0xe2, 0x4c, 0x1f, 0x5b, 0xb2, 0xaf, 0x82, 0xa5, 0xcf, 0x81, 0x10, 0x04, 0xef, 0xdb, 0xa2, 0xcc, 0x24, 0xb2, 0x7e, 0x0b, 0x7a, 0xeb, 0x01, 0xd8, 0x52, 0xf4, 0x51, 0x89, 0x29, 0x79, 0x37}}}, +{{{0x74, 0xde, 0x12, 0xf3, 0x68, 0xb7, 0x66, 0xc3, 0xee, 0x68, 0xdc, 0x81, 0xb5, 0x55, 0x99, 0xab, 0xd9, 0x28, 0x63, 0x6d, 0x8b, 0x40, 0x69, 0x75, 0x6c, 0xcd, 0x5c, 0x2a, 0x7e, 0x32, 0x7b, 0x29}} , + {{0x02, 0xcc, 0x22, 0x74, 0x4d, 0x19, 0x07, 0xc0, 0xda, 0xb5, 0x76, 0x51, 0x2a, 0xaa, 0xa6, 0x0a, 0x5f, 0x26, 0xd4, 0xbc, 0xaf, 0x48, 0x88, 0x7f, 0x02, 0xbc, 0xf2, 0xe1, 0xcf, 0xe9, 0xdd, 0x15}}}, +{{{0xed, 0xb5, 0x9a, 0x8c, 0x9a, 0xdd, 0x27, 0xf4, 0x7f, 0x47, 0xd9, 0x52, 0xa7, 0xcd, 0x65, 0xa5, 0x31, 0x22, 0xed, 0xa6, 0x63, 0x5b, 0x80, 0x4a, 0xad, 0x4d, 0xed, 0xbf, 0xee, 0x49, 0xb3, 0x06}} , + {{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}}}, +{{{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}}}, +{{{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}}}, +{{{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}}}, +{{{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}}}, +{{{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}}}, +{{{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}} , + {{0x76, 0x0a, 0xda, 0x8d, 0x2c, 0x07, 0x3f, 0x89, 0x7d, 0x04, 0xad, 0x43, 0x50, 0x6e, 0xd2, 0x47, 0xcb, 0x8a, 0xe6, 0x85, 0x1a, 0x24, 0xf3, 0xd2, 0x60, 0xfd, 0xdf, 0x73, 0xa4, 0x0d, 0x73, 0x0e}}}, +{{{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}}}, +{{{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}}}, +{{{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}} , + {{0x60, 0xd5, 0x22, 0x83, 0x08, 0x2f, 0xff, 0x99, 0x3e, 0x69, 0x6d, 0x88, 0xda, 0xe7, 0x5b, 0x52, 0x26, 0x31, 0x2a, 0xe5, 0x89, 0xde, 0x68, 0x90, 0xb6, 0x22, 0x5a, 0xbd, 0xd3, 0x85, 0x53, 0x31}}}, +{{{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}}}, +{{{0xbb, 0x0c, 0xbc, 0x6a, 0xa4, 0x97, 0x17, 0x93, 0x2d, 0x6f, 0xde, 0x72, 0x10, 0x1c, 0x08, 0x2c, 0x0f, 0x80, 0x32, 0x68, 0x27, 0xd4, 0xab, 0xdd, 0xc5, 0x58, 0x61, 0x13, 0x6d, 0x11, 0x1e, 0x4d}} , + {{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}}}, +{{{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}}}, +{{{0x15, 0x7d, 0x12, 0x48, 0x82, 0x14, 0x42, 0xcd, 0x32, 0xd4, 0x4b, 0xc1, 0x72, 0x61, 0x2a, 0x8c, 0xec, 0xe2, 0xf8, 0x24, 0x45, 0x94, 0xe3, 0xbe, 0xdd, 0x67, 0xa8, 0x77, 0x5a, 0xae, 0x5b, 0x4b}} , + {{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}} , + {{0x45, 0x62, 0x1d, 0x2e, 0xff, 0x2a, 0x1c, 0x21, 0xa4, 0x25, 0x7b, 0x0d, 0x8c, 0x15, 0x39, 0xfc, 0x8f, 0x7c, 0xa5, 0x7d, 0x1e, 0x25, 0xa3, 0x45, 0xd6, 0xab, 0xbd, 0xcb, 0xc5, 0x5e, 0x78, 0x77}}}, +{{{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}}}, +{{{0xd0, 0xd3, 0x42, 0xed, 0x1d, 0x00, 0x3c, 0x15, 0x2c, 0x9c, 0x77, 0x81, 0xd2, 0x73, 0xd1, 0x06, 0xd5, 0xc4, 0x7f, 0x94, 0xbb, 0x92, 0x2d, 0x2c, 0x4b, 0x45, 0x4b, 0xe9, 0x2a, 0x89, 0x6b, 0x2b}} , + {{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}}, + {{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}}}, +{{{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}}}, +{{{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}}}, +{{{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}}}, +{{{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}}}, +{{{0x25, 0x24, 0x1d, 0x8a, 0x67, 0x20, 0xee, 0x42, 0xeb, 0x38, 0xed, 0x0b, 0x8b, 0xcd, 0x46, 0x9d, 0x5e, 0x6b, 0x1e, 0x24, 0x9d, 0x12, 0x05, 0x1a, 0xcc, 0x05, 0x4e, 0x92, 0x38, 0xe1, 0x1f, 0x50}} , + {{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}}}, +{{{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}}}, +{{{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}} , + {{0x96, 0x11, 0x41, 0x8a, 0x47, 0x91, 0xfe, 0xb6, 0xda, 0x7a, 0x54, 0x63, 0xd1, 0x14, 0x35, 0x05, 0x86, 0x8c, 0xa9, 0x36, 0x3f, 0xf2, 0x85, 0x54, 0x4e, 0x92, 0xd8, 0x85, 0x01, 0x46, 0xd6, 0x50}}}, +{{{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}} , + {{0xe2, 0x3c, 0x76, 0x86, 0x38, 0xf2, 0x7b, 0x2c, 0x16, 0x78, 0x8d, 0xf5, 0xa4, 0x15, 0xda, 0xdb, 0x26, 0x85, 0xa0, 0x56, 0xdd, 0x1d, 0xe3, 0xb3, 0xfd, 0x40, 0xef, 0xf2, 0xd9, 0xa1, 0xb3, 0x04}}}, +{{{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}}}, +{{{0xdb, 0x49, 0x0e, 0xe6, 0x58, 0x10, 0x7a, 0x52, 0xda, 0xb5, 0x7d, 0x37, 0x6a, 0x3e, 0xa1, 0x78, 0xce, 0xc7, 0x1c, 0x24, 0x23, 0xdb, 0x7d, 0xfb, 0x8c, 0x8d, 0xdc, 0x30, 0x67, 0x69, 0x75, 0x3b}} , + {{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}} , + {{0xb0, 0x8b, 0xaa, 0x1e, 0xec, 0xc7, 0xa5, 0x8f, 0x1f, 0x92, 0x04, 0xc6, 0x05, 0xf6, 0xdf, 0xa1, 0xcc, 0x1f, 0x81, 0xf5, 0x0e, 0x9c, 0x57, 0xdc, 0xe3, 0xbb, 0x06, 0x87, 0x1e, 0xfe, 0x23, 0x6c}}}, +{{{0xd8, 0x2b, 0x5b, 0x16, 0xea, 0x20, 0xf1, 0xd3, 0x68, 0x8f, 0xae, 0x5b, 0xd0, 0xa9, 0x1a, 0x19, 0xa8, 0x36, 0xfb, 0x2b, 0x57, 0x88, 0x7d, 0x90, 0xd5, 0xa6, 0xf3, 0xdc, 0x38, 0x89, 0x4e, 0x1f}} , + {{0xcc, 0x19, 0xda, 0x9b, 0x3b, 0x43, 0x48, 0x21, 0x2e, 0x23, 0x4d, 0x3d, 0xae, 0xf8, 0x8c, 0xfc, 0xdd, 0xa6, 0x74, 0x37, 0x65, 0xca, 0xee, 0x1a, 0x19, 0x8e, 0x9f, 0x64, 0x6f, 0x0c, 0x8b, 0x5a}}}, +{{{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}}}, +{{{0x25, 0xb9, 0xc2, 0xf0, 0x72, 0xb8, 0x15, 0x16, 0xcc, 0x8d, 0x3c, 0x6f, 0x25, 0xed, 0xf4, 0x46, 0x2e, 0x0c, 0x60, 0x0f, 0xe2, 0x84, 0x34, 0x55, 0x89, 0x59, 0x34, 0x1b, 0xf5, 0x8d, 0xfe, 0x08}} , + {{0xf8, 0xab, 0x93, 0xbc, 0x44, 0xba, 0x1b, 0x75, 0x4b, 0x49, 0x6f, 0xd0, 0x54, 0x2e, 0x63, 0xba, 0xb5, 0xea, 0xed, 0x32, 0x14, 0xc9, 0x94, 0xd8, 0xc5, 0xce, 0xf4, 0x10, 0x68, 0xe0, 0x38, 0x27}}}, +{{{0x74, 0x1c, 0x14, 0x9b, 0xd4, 0x64, 0x61, 0x71, 0x5a, 0xb6, 0x21, 0x33, 0x4f, 0xf7, 0x8e, 0xba, 0xa5, 0x48, 0x9a, 0xc7, 0xfa, 0x9a, 0xf0, 0xb4, 0x62, 0xad, 0xf2, 0x5e, 0xcc, 0x03, 0x24, 0x1a}} , + {{0xf5, 0x76, 0xfd, 0xe4, 0xaf, 0xb9, 0x03, 0x59, 0xce, 0x63, 0xd2, 0x3b, 0x1f, 0xcd, 0x21, 0x0c, 0xad, 0x44, 0xa5, 0x97, 0xac, 0x80, 0x11, 0x02, 0x9b, 0x0c, 0xe5, 0x8b, 0xcd, 0xfb, 0x79, 0x77}}}, +{{{0x15, 0xbe, 0x9a, 0x0d, 0xba, 0x38, 0x72, 0x20, 0x8a, 0xf5, 0xbe, 0x59, 0x93, 0x79, 0xb7, 0xf6, 0x6a, 0x0c, 0x38, 0x27, 0x1a, 0x60, 0xf4, 0x86, 0x3b, 0xab, 0x5a, 0x00, 0xa0, 0xce, 0x21, 0x7d}} , + {{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}} , + {{0x11, 0xa4, 0x88, 0x9f, 0x3e, 0x53, 0x69, 0x3b, 0x1b, 0xe0, 0xf7, 0xba, 0x9b, 0xad, 0x4e, 0x81, 0x5f, 0xb5, 0x5c, 0xae, 0xbe, 0x67, 0x86, 0x37, 0x34, 0x8e, 0x07, 0x32, 0x45, 0x4a, 0x67, 0x39}}}, +{{{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}}}, +{{{0x90, 0x70, 0x58, 0x20, 0x03, 0x1e, 0x67, 0xb2, 0xc8, 0x9b, 0x58, 0xc5, 0xb1, 0xeb, 0x2d, 0x4a, 0xde, 0x82, 0x8c, 0xf2, 0xd2, 0x14, 0xb8, 0x70, 0x61, 0x4e, 0x73, 0xd6, 0x0b, 0x6b, 0x0d, 0x30}} , + {{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}}}, +{{{0x41, 0xfa, 0x8c, 0xe1, 0x89, 0x8f, 0x27, 0xc8, 0x25, 0x8f, 0x6f, 0x5f, 0x55, 0xf8, 0xde, 0x95, 0x6d, 0x2f, 0x75, 0x16, 0x2b, 0x4e, 0x44, 0xfd, 0x86, 0x6e, 0xe9, 0x70, 0x39, 0x76, 0x97, 0x7e}} , + {{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}}}, +{{{0x02, 0x3a, 0x70, 0x41, 0xe4, 0x11, 0x57, 0x23, 0xac, 0xe6, 0xfc, 0x54, 0x7e, 0xcd, 0xd7, 0x22, 0xcb, 0x76, 0x9f, 0x20, 0xce, 0xa0, 0x73, 0x76, 0x51, 0x3b, 0xa4, 0xf8, 0xe3, 0x62, 0x12, 0x6c}} , + {{0x7f, 0x00, 0x9c, 0x26, 0x0d, 0x6f, 0x48, 0x7f, 0x3a, 0x01, 0xed, 0xc5, 0x96, 0xb0, 0x1f, 0x4f, 0xa8, 0x02, 0x62, 0x27, 0x8a, 0x50, 0x8d, 0x9a, 0x8b, 0x52, 0x0f, 0x1e, 0xcf, 0x41, 0x38, 0x19}}}, +{{{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}}}, +{{{0xf5, 0x6c, 0xd4, 0x2f, 0x0f, 0x69, 0x0f, 0x87, 0x3f, 0x61, 0x65, 0x1e, 0x35, 0x34, 0x85, 0xba, 0x02, 0x30, 0xac, 0x25, 0x3d, 0xe2, 0x62, 0xf1, 0xcc, 0xe9, 0x1b, 0xc2, 0xef, 0x6a, 0x42, 0x57}} , + {{0x34, 0x1f, 0x2e, 0xac, 0xd1, 0xc7, 0x04, 0x52, 0x32, 0x66, 0xb2, 0x33, 0x73, 0x21, 0x34, 0x54, 0xf7, 0x71, 0xed, 0x06, 0xb0, 0xff, 0xa6, 0x59, 0x6f, 0x8a, 0x4e, 0xfb, 0x02, 0xb0, 0x45, 0x6b}}}, +{{{0xf5, 0x48, 0x0b, 0x03, 0xc5, 0x22, 0x7d, 0x80, 0x08, 0x53, 0xfe, 0x32, 0xb1, 0xa1, 0x8a, 0x74, 0x6f, 0xbd, 0x3f, 0x85, 0xf4, 0xcf, 0xf5, 0x60, 0xaf, 0x41, 0x7e, 0x3e, 0x46, 0xa3, 0x5a, 0x20}} , + {{0xaa, 0x35, 0x87, 0x44, 0x63, 0x66, 0x97, 0xf8, 0x6e, 0x55, 0x0c, 0x04, 0x3e, 0x35, 0x50, 0xbf, 0x93, 0x69, 0xd2, 0x8b, 0x05, 0x55, 0x99, 0xbe, 0xe2, 0x53, 0x61, 0xec, 0xe8, 0x08, 0x0b, 0x32}}}, +{{{0xb3, 0x10, 0x45, 0x02, 0x69, 0x59, 0x2e, 0x97, 0xd9, 0x64, 0xf8, 0xdb, 0x25, 0x80, 0xdc, 0xc4, 0xd5, 0x62, 0x3c, 0xed, 0x65, 0x91, 0xad, 0xd1, 0x57, 0x81, 0x94, 0xaa, 0xa1, 0x29, 0xfc, 0x68}} , + {{0xdd, 0xb5, 0x7d, 0xab, 0x5a, 0x21, 0x41, 0x53, 0xbb, 0x17, 0x79, 0x0d, 0xd1, 0xa8, 0x0c, 0x0c, 0x20, 0x88, 0x09, 0xe9, 0x84, 0xe8, 0x25, 0x11, 0x67, 0x7a, 0x8b, 0x1a, 0xe4, 0x5d, 0xe1, 0x5d}}}, +{{{0x37, 0xea, 0xfe, 0x65, 0x3b, 0x25, 0xe8, 0xe1, 0xc2, 0xc5, 0x02, 0xa4, 0xbe, 0x98, 0x0a, 0x2b, 0x61, 0xc1, 0x9b, 0xe2, 0xd5, 0x92, 0xe6, 0x9e, 0x7d, 0x1f, 0xca, 0x43, 0x88, 0x8b, 0x2c, 0x59}} , + {{0xe0, 0xb5, 0x00, 0x1d, 0x2a, 0x6f, 0xaf, 0x79, 0x86, 0x2f, 0xa6, 0x5a, 0x93, 0xd1, 0xfe, 0xae, 0x3a, 0xee, 0xdb, 0x7c, 0x61, 0xbe, 0x7c, 0x01, 0xf9, 0xfe, 0x52, 0xdc, 0xd8, 0x52, 0xa3, 0x42}}}, +{{{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}}}, +{{{0x22, 0xaf, 0x13, 0x37, 0xbd, 0x37, 0x71, 0xac, 0x04, 0x46, 0x63, 0xac, 0xa4, 0x77, 0xed, 0x25, 0x38, 0xe0, 0x15, 0xa8, 0x64, 0x00, 0x0d, 0xce, 0x51, 0x01, 0xa9, 0xbc, 0x0f, 0x03, 0x1c, 0x04}} , + {{0x89, 0xf9, 0x80, 0x07, 0xcf, 0x3f, 0xb3, 0xe9, 0xe7, 0x45, 0x44, 0x3d, 0x2a, 0x7c, 0xe9, 0xe4, 0x16, 0x5c, 0x5e, 0x65, 0x1c, 0xc7, 0x7d, 0xc6, 0x7a, 0xfb, 0x43, 0xee, 0x25, 0x76, 0x46, 0x72}}}, +{{{0x02, 0xa2, 0xed, 0xf4, 0x8f, 0x6b, 0x0b, 0x3e, 0xeb, 0x35, 0x1a, 0xd5, 0x7e, 0xdb, 0x78, 0x00, 0x96, 0x8a, 0xa0, 0xb4, 0xcf, 0x60, 0x4b, 0xd4, 0xd5, 0xf9, 0x2d, 0xbf, 0x88, 0xbd, 0x22, 0x62}} , + {{0x13, 0x53, 0xe4, 0x82, 0x57, 0xfa, 0x1e, 0x8f, 0x06, 0x2b, 0x90, 0xba, 0x08, 0xb6, 0x10, 0x54, 0x4f, 0x7c, 0x1b, 0x26, 0xed, 0xda, 0x6b, 0xdd, 0x25, 0xd0, 0x4e, 0xea, 0x42, 0xbb, 0x25, 0x03}}}, +{{{0x51, 0x16, 0x50, 0x7c, 0xd5, 0x5d, 0xf6, 0x99, 0xe8, 0x77, 0x72, 0x4e, 0xfa, 0x62, 0xcb, 0x76, 0x75, 0x0c, 0xe2, 0x71, 0x98, 0x92, 0xd5, 0xfa, 0x45, 0xdf, 0x5c, 0x6f, 0x1e, 0x9e, 0x28, 0x69}} , + {{0x0d, 0xac, 0x66, 0x6d, 0xc3, 0x8b, 0xba, 0x16, 0xb5, 0xe2, 0xa0, 0x0d, 0x0c, 0xbd, 0xa4, 0x8e, 0x18, 0x6c, 0xf2, 0xdc, 0xf9, 0xdc, 0x4a, 0x86, 0x25, 0x95, 0x14, 0xcb, 0xd8, 0x1a, 0x04, 0x0f}}}, +{{{0x97, 0xa5, 0xdb, 0x8b, 0x2d, 0xaa, 0x42, 0x11, 0x09, 0xf2, 0x93, 0xbb, 0xd9, 0x06, 0x84, 0x4e, 0x11, 0xa8, 0xa0, 0x25, 0x2b, 0xa6, 0x5f, 0xae, 0xc4, 0xb4, 0x4c, 0xc8, 0xab, 0xc7, 0x3b, 0x02}} , + {{0xee, 0xc9, 0x29, 0x0f, 0xdf, 0x11, 0x85, 0xed, 0xce, 0x0d, 0x62, 0x2c, 0x8f, 0x4b, 0xf9, 0x04, 0xe9, 0x06, 0x72, 0x1d, 0x37, 0x20, 0x50, 0xc9, 0x14, 0xeb, 0xec, 0x39, 0xa7, 0x97, 0x2b, 0x4d}}}, +{{{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}}}, +{{{0x69, 0xd1, 0x39, 0xbd, 0xfb, 0x33, 0xbe, 0xc4, 0xf0, 0x5c, 0xef, 0xf0, 0x56, 0x68, 0xfc, 0x97, 0x47, 0xc8, 0x72, 0xb6, 0x53, 0xa4, 0x0a, 0x98, 0xa5, 0xb4, 0x37, 0x71, 0xcf, 0x66, 0x50, 0x6d}} , + {{0x17, 0xa4, 0x19, 0x52, 0x11, 0x47, 0xb3, 0x5c, 0x5b, 0xa9, 0x2e, 0x22, 0xb4, 0x00, 0x52, 0xf9, 0x57, 0x18, 0xb8, 0xbe, 0x5a, 0xe3, 0xab, 0x83, 0xc8, 0x87, 0x0a, 0x2a, 0xd8, 0x8c, 0xbb, 0x54}}}, +{{{0xa9, 0x62, 0x93, 0x85, 0xbe, 0xe8, 0x73, 0x4a, 0x0e, 0xb0, 0xb5, 0x2d, 0x94, 0x50, 0xaa, 0xd3, 0xb2, 0xea, 0x9d, 0x62, 0x76, 0x3b, 0x07, 0x34, 0x4e, 0x2d, 0x70, 0xc8, 0x9a, 0x15, 0x66, 0x6b}} , + {{0xc5, 0x96, 0xca, 0xc8, 0x22, 0x1a, 0xee, 0x5f, 0xe7, 0x31, 0x60, 0x22, 0x83, 0x08, 0x63, 0xce, 0xb9, 0x32, 0x44, 0x58, 0x5d, 0x3a, 0x9b, 0xe4, 0x04, 0xd5, 0xef, 0x38, 0xef, 0x4b, 0xdd, 0x19}}}, +{{{0x4d, 0xc2, 0x17, 0x75, 0xa1, 0x68, 0xcd, 0xc3, 0xc6, 0x03, 0x44, 0xe3, 0x78, 0x09, 0x91, 0x47, 0x3f, 0x0f, 0xe4, 0x92, 0x58, 0xfa, 0x7d, 0x1f, 0x20, 0x94, 0x58, 0x5e, 0xbc, 0x19, 0x02, 0x6f}} , + {{0x20, 0xd6, 0xd8, 0x91, 0x54, 0xa7, 0xf3, 0x20, 0x4b, 0x34, 0x06, 0xfa, 0x30, 0xc8, 0x6f, 0x14, 0x10, 0x65, 0x74, 0x13, 0x4e, 0xf0, 0x69, 0x26, 0xce, 0xcf, 0x90, 0xf4, 0xd0, 0xc5, 0xc8, 0x64}}}, +{{{0x26, 0xa2, 0x50, 0x02, 0x24, 0x72, 0xf1, 0xf0, 0x4e, 0x2d, 0x93, 0xd5, 0x08, 0xe7, 0xae, 0x38, 0xf7, 0x18, 0xa5, 0x32, 0x34, 0xc2, 0xf0, 0xa6, 0xec, 0xb9, 0x61, 0x7b, 0x64, 0x99, 0xac, 0x71}} , + {{0x25, 0xcf, 0x74, 0x55, 0x1b, 0xaa, 0xa9, 0x38, 0x41, 0x40, 0xd5, 0x95, 0x95, 0xab, 0x1c, 0x5e, 0xbc, 0x41, 0x7e, 0x14, 0x30, 0xbe, 0x13, 0x89, 0xf4, 0xe5, 0xeb, 0x28, 0xc0, 0xc2, 0x96, 0x3a}}}, +{{{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, 0x77, 0x45, 0xec, 0x67, 0x76, 0x32, 0x4c, 0xb9, 0xdf, 0x25, 0x32, 0x6b, 0xcb, 0xe7, 0x14, 0x61, 0x43, 0xee, 0xba, 0x9b, 0x71, 0xef, 0xd2, 0x48, 0x65, 0xbb, 0x1b, 0x8a, 0x13, 0x1b, 0x22}} , + {{0x84, 0xad, 0x0c, 0x18, 0x38, 0x5a, 0xba, 0xd0, 0x98, 0x59, 0xbf, 0x37, 0xb0, 0x4f, 0x97, 0x60, 0x20, 0xb3, 0x9b, 0x97, 0xf6, 0x08, 0x6c, 0xa4, 0xff, 0xfb, 0xb7, 0xfa, 0x95, 0xb2, 0x51, 0x79}}}, +{{{0x28, 0x5c, 0x3f, 0xdb, 0x6b, 0x18, 0x3b, 0x5c, 0xd1, 0x04, 0x28, 0xde, 0x85, 0x52, 0x31, 0xb5, 0xbb, 0xf6, 0xa9, 0xed, 0xbe, 0x28, 0x4f, 0xb3, 0x7e, 0x05, 0x6a, 0xdb, 0x95, 0x0d, 0x1b, 0x1c}} , + {{0xd5, 0xc5, 0xc3, 0x9a, 0x0a, 0xd0, 0x31, 0x3e, 0x07, 0x36, 0x8e, 0xc0, 0x8a, 0x62, 0xb1, 0xca, 0xd6, 0x0e, 0x1e, 0x9d, 0xef, 0xab, 0x98, 0x4d, 0xbb, 0x6c, 0x05, 0xe0, 0xe4, 0x5d, 0xbd, 0x57}}}, +{{{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}}, + {{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}}}, +{{{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}}}, +{{{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}}}, +{{{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}}}, +{{{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}}}, +{{{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}} , + {{0x3a, 0xbb, 0x39, 0xed, 0x32, 0x02, 0xe7, 0x43, 0x7a, 0x38, 0x14, 0x84, 0xe3, 0x44, 0xd2, 0x5e, 0x94, 0xdd, 0x78, 0x89, 0x55, 0x4c, 0x73, 0x9e, 0xe1, 0xe4, 0x3e, 0x43, 0xd0, 0x4a, 0xde, 0x1b}}}, +{{{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}}}, +{{{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}}}, +{{{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}}}, +{{{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}}}, +{{{0x02, 0xfe, 0x54, 0x12, 0x18, 0xca, 0x7d, 0xa5, 0x68, 0x43, 0xa3, 0x6d, 0x14, 0x2a, 0x6a, 0xa5, 0x8e, 0x32, 0xe7, 0x63, 0x4f, 0xe3, 0xc6, 0x44, 0x3e, 0xab, 0x63, 0xca, 0x17, 0x86, 0x74, 0x3f}} , + {{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}}}, +{{{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}}}, +{{{0x1d, 0x88, 0x98, 0x5b, 0x4e, 0xfc, 0x41, 0x24, 0x05, 0xe6, 0x50, 0x2b, 0xae, 0x96, 0x51, 0xd9, 0x6b, 0x72, 0xb2, 0x33, 0x42, 0x98, 0x68, 0xbb, 0x10, 0x5a, 0x7a, 0x8c, 0x9d, 0x07, 0xb4, 0x05}} , + {{0x2f, 0x61, 0x9f, 0xd7, 0xa8, 0x3f, 0x83, 0x8c, 0x10, 0x69, 0x90, 0xe6, 0xcf, 0xd2, 0x63, 0xa3, 0xe4, 0x54, 0x7e, 0xe5, 0x69, 0x13, 0x1c, 0x90, 0x57, 0xaa, 0xe9, 0x53, 0x22, 0x43, 0x29, 0x23}}}, +{{{0xe5, 0x1c, 0xf8, 0x0a, 0xfd, 0x2d, 0x7e, 0xf5, 0xf5, 0x70, 0x7d, 0x41, 0x6b, 0x11, 0xfe, 0xbe, 0x99, 0xd1, 0x55, 0x29, 0x31, 0xbf, 0xc0, 0x97, 0x6c, 0xd5, 0x35, 0xcc, 0x5e, 0x8b, 0xd9, 0x69}} , + {{0x8e, 0x4e, 0x9f, 0x25, 0xf8, 0x81, 0x54, 0x2d, 0x0e, 0xd5, 0x54, 0x81, 0x9b, 0xa6, 0x92, 0xce, 0x4b, 0xe9, 0x8f, 0x24, 0x3b, 0xca, 0xe0, 0x44, 0xab, 0x36, 0xfe, 0xfb, 0x87, 0xd4, 0x26, 0x3e}}}, +{{{0x0f, 0x93, 0x9c, 0x11, 0xe7, 0xdb, 0xf1, 0xf0, 0x85, 0x43, 0x28, 0x15, 0x37, 0xdd, 0xde, 0x27, 0xdf, 0xad, 0x3e, 0x49, 0x4f, 0xe0, 0x5b, 0xf6, 0x80, 0x59, 0x15, 0x3c, 0x85, 0xb7, 0x3e, 0x12}} , + {{0xf5, 0xff, 0xcc, 0xf0, 0xb4, 0x12, 0x03, 0x5f, 0xc9, 0x84, 0xcb, 0x1d, 0x17, 0xe0, 0xbc, 0xcc, 0x03, 0x62, 0xa9, 0x8b, 0x94, 0xa6, 0xaa, 0x18, 0xcb, 0x27, 0x8d, 0x49, 0xa6, 0x17, 0x15, 0x07}}}, +{{{0xd9, 0xb6, 0xd4, 0x9d, 0xd4, 0x6a, 0xaf, 0x70, 0x07, 0x2c, 0x10, 0x9e, 0xbd, 0x11, 0xad, 0xe4, 0x26, 0x33, 0x70, 0x92, 0x78, 0x1c, 0x74, 0x9f, 0x75, 0x60, 0x56, 0xf4, 0x39, 0xa8, 0xa8, 0x62}} , + {{0x3b, 0xbf, 0x55, 0x35, 0x61, 0x8b, 0x44, 0x97, 0xe8, 0x3a, 0x55, 0xc1, 0xc8, 0x3b, 0xfd, 0x95, 0x29, 0x11, 0x60, 0x96, 0x1e, 0xcb, 0x11, 0x9d, 0xc2, 0x03, 0x8a, 0x1b, 0xc6, 0xd6, 0x45, 0x3d}}}, +{{{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}}}, +{{{0x7e, 0x0e, 0x50, 0xb2, 0xcc, 0x0d, 0x6b, 0xa6, 0x71, 0x5b, 0x42, 0xed, 0xbd, 0xaf, 0xac, 0xf0, 0xfc, 0x12, 0xa2, 0x3f, 0x4e, 0xda, 0xe8, 0x11, 0xf3, 0x23, 0xe1, 0x04, 0x62, 0x03, 0x1c, 0x4e}} , + {{0xc8, 0xb1, 0x1b, 0x6f, 0x73, 0x61, 0x3d, 0x27, 0x0d, 0x7d, 0x7a, 0x25, 0x5f, 0x73, 0x0e, 0x2f, 0x93, 0xf6, 0x24, 0xd8, 0x4f, 0x90, 0xac, 0xa2, 0x62, 0x0a, 0xf0, 0x61, 0xd9, 0x08, 0x59, 0x6a}}}, +{{{0x6f, 0x2d, 0x55, 0xf8, 0x2f, 0x8e, 0xf0, 0x18, 0x3b, 0xea, 0xdd, 0x26, 0x72, 0xd1, 0xf5, 0xfe, 0xe5, 0xb8, 0xe6, 0xd3, 0x10, 0x48, 0x46, 0x49, 0x3a, 0x9f, 0x5e, 0x45, 0x6b, 0x90, 0xe8, 0x7f}} , + {{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}}}, +{{{0x7a, 0xdb, 0x12, 0xd2, 0x8a, 0x82, 0x03, 0x1b, 0x1e, 0xaf, 0xf9, 0x4b, 0x9c, 0xbe, 0xae, 0x7c, 0xe4, 0x94, 0x2a, 0x23, 0xb3, 0x62, 0x86, 0xe7, 0xfd, 0x23, 0xaa, 0x99, 0xbd, 0x2b, 0x11, 0x6c}} , + {{0x8d, 0xa6, 0xd5, 0xac, 0x9d, 0xcc, 0x68, 0x75, 0x7f, 0xc3, 0x4d, 0x4b, 0xdd, 0x6c, 0xbb, 0x11, 0x5a, 0x60, 0xe5, 0xbd, 0x7d, 0x27, 0x8b, 0xda, 0xb4, 0x95, 0xf6, 0x03, 0x27, 0xa4, 0x92, 0x3f}}}, +{{{0x22, 0xd6, 0xb5, 0x17, 0x84, 0xbf, 0x12, 0xcc, 0x23, 0x14, 0x4a, 0xdf, 0x14, 0x31, 0xbc, 0xa1, 0xac, 0x6e, 0xab, 0xfa, 0x57, 0x11, 0x53, 0xb3, 0x27, 0xe6, 0xf9, 0x47, 0x33, 0x44, 0x34, 0x1e}} , + {{0x79, 0xfc, 0xa6, 0xb4, 0x0b, 0x35, 0x20, 0xc9, 0x4d, 0x22, 0x84, 0xc4, 0xa9, 0x20, 0xec, 0x89, 0x94, 0xba, 0x66, 0x56, 0x48, 0xb9, 0x87, 0x7f, 0xca, 0x1e, 0x06, 0xed, 0xa5, 0x55, 0x59, 0x29}}}, +{{{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}}}, +{{{0x56, 0xe1, 0xf5, 0xf1, 0xd5, 0xab, 0xa8, 0x2b, 0xae, 0x89, 0xf3, 0xcf, 0x56, 0x9f, 0xf2, 0x4b, 0x31, 0xbc, 0x18, 0xa9, 0x06, 0x5b, 0xbe, 0xb4, 0x61, 0xf8, 0xb2, 0x06, 0x9c, 0x81, 0xab, 0x4c}} , + {{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}}}, +{{{0x83, 0xf0, 0x0d, 0x63, 0xef, 0x53, 0x6b, 0xb5, 0x6b, 0xf9, 0x83, 0xcf, 0xde, 0x04, 0x22, 0x9b, 0x2c, 0x0a, 0xe0, 0xa5, 0xd8, 0xc7, 0x9c, 0xa5, 0xa3, 0xf6, 0x6f, 0xcf, 0x90, 0x6b, 0x68, 0x7c}} , + {{0x33, 0x15, 0xd7, 0x7f, 0x1a, 0xd5, 0x21, 0x58, 0xc4, 0x18, 0xa5, 0xf0, 0xcc, 0x73, 0xa8, 0xfd, 0xfa, 0x18, 0xd1, 0x03, 0x91, 0x8d, 0x52, 0xd2, 0xa3, 0xa4, 0xd3, 0xb1, 0xea, 0x1d, 0x0f, 0x00}}}, +{{{0xcc, 0x48, 0x83, 0x90, 0xe5, 0xfd, 0x3f, 0x84, 0xaa, 0xf9, 0x8b, 0x82, 0x59, 0x24, 0x34, 0x68, 0x4f, 0x1c, 0x23, 0xd9, 0xcc, 0x71, 0xe1, 0x7f, 0x8c, 0xaf, 0xf1, 0xee, 0x00, 0xb6, 0xa0, 0x77}} , + {{0xf5, 0x1a, 0x61, 0xf7, 0x37, 0x9d, 0x00, 0xf4, 0xf2, 0x69, 0x6f, 0x4b, 0x01, 0x85, 0x19, 0x45, 0x4d, 0x7f, 0x02, 0x7c, 0x6a, 0x05, 0x47, 0x6c, 0x1f, 0x81, 0x20, 0xd4, 0xe8, 0x50, 0x27, 0x72}}}, +{{{0x2c, 0x3a, 0xe5, 0xad, 0xf4, 0xdd, 0x2d, 0xf7, 0x5c, 0x44, 0xb5, 0x5b, 0x21, 0xa3, 0x89, 0x5f, 0x96, 0x45, 0xca, 0x4d, 0xa4, 0x21, 0x99, 0x70, 0xda, 0xc4, 0xc4, 0xa0, 0xe5, 0xf4, 0xec, 0x0a}} , + {{0x07, 0x68, 0x21, 0x65, 0xe9, 0x08, 0xa0, 0x0b, 0x6a, 0x4a, 0xba, 0xb5, 0x80, 0xaf, 0xd0, 0x1b, 0xc5, 0xf5, 0x4b, 0x73, 0x50, 0x60, 0x2d, 0x71, 0x69, 0x61, 0x0e, 0xc0, 0x20, 0x40, 0x30, 0x19}}}, +{{{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}}}, +{{{0xd0, 0x75, 0x57, 0x3b, 0xeb, 0x5c, 0x14, 0x56, 0x50, 0xc9, 0x4f, 0xb8, 0xb8, 0x1e, 0xa3, 0xf4, 0xab, 0xf5, 0xa9, 0x20, 0x15, 0x94, 0x82, 0xda, 0x96, 0x1c, 0x9b, 0x59, 0x8c, 0xff, 0xf4, 0x51}} , + {{0xc1, 0x3a, 0x86, 0xd7, 0xb0, 0x06, 0x84, 0x7f, 0x1b, 0xbd, 0xd4, 0x07, 0x78, 0x80, 0x2e, 0xb1, 0xb4, 0xee, 0x52, 0x38, 0xee, 0x9a, 0xf9, 0xf6, 0xf3, 0x41, 0x6e, 0xd4, 0x88, 0x95, 0xac, 0x35}}}, +{{{0x41, 0x97, 0xbf, 0x71, 0x6a, 0x9b, 0x72, 0xec, 0xf3, 0xf8, 0x6b, 0xe6, 0x0e, 0x6c, 0x69, 0xa5, 0x2f, 0x68, 0x52, 0xd8, 0x61, 0x81, 0xc0, 0x63, 0x3f, 0xa6, 0x3c, 0x13, 0x90, 0xe6, 0x8d, 0x56}} , + {{0xe8, 0x39, 0x30, 0x77, 0x23, 0xb1, 0xfd, 0x1b, 0x3d, 0x3e, 0x74, 0x4d, 0x7f, 0xae, 0x5b, 0x3a, 0xb4, 0x65, 0x0e, 0x3a, 0x43, 0xdc, 0xdc, 0x41, 0x47, 0xe6, 0xe8, 0x92, 0x09, 0x22, 0x48, 0x4c}}}, +{{{0x85, 0x57, 0x9f, 0xb5, 0xc8, 0x06, 0xb2, 0x9f, 0x47, 0x3f, 0xf0, 0xfa, 0xe6, 0xa9, 0xb1, 0x9b, 0x6f, 0x96, 0x7d, 0xf9, 0xa4, 0x65, 0x09, 0x75, 0x32, 0xa6, 0x6c, 0x7f, 0x47, 0x4b, 0x2f, 0x4f}} , + {{0x34, 0xe9, 0x59, 0x93, 0x9d, 0x26, 0x80, 0x54, 0xf2, 0xcc, 0x3c, 0xc2, 0x25, 0x85, 0xe3, 0x6a, 0xc1, 0x62, 0x04, 0xa7, 0x08, 0x32, 0x6d, 0xa1, 0x39, 0x84, 0x8a, 0x3b, 0x87, 0x5f, 0x11, 0x13}}}, +{{{0xda, 0x03, 0x34, 0x66, 0xc4, 0x0c, 0x73, 0x6e, 0xbc, 0x24, 0xb5, 0xf9, 0x70, 0x81, 0x52, 0xe9, 0xf4, 0x7c, 0x23, 0xdd, 0x9f, 0xb8, 0x46, 0xef, 0x1d, 0x22, 0x55, 0x7d, 0x71, 0xc4, 0x42, 0x33}} , + {{0xc5, 0x37, 0x69, 0x5b, 0xa8, 0xc6, 0x9d, 0xa4, 0xfc, 0x61, 0x6e, 0x68, 0x46, 0xea, 0xd7, 0x1c, 0x67, 0xd2, 0x7d, 0xfa, 0xf1, 0xcc, 0x54, 0x8d, 0x36, 0x35, 0xc9, 0x00, 0xdf, 0x6c, 0x67, 0x50}}}, +{{{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}}}, +{{{0x9a, 0x4d, 0x42, 0x29, 0x5d, 0xa4, 0x6b, 0x6f, 0xa8, 0x8a, 0x4d, 0x91, 0x7b, 0xd2, 0xdf, 0x36, 0xef, 0x01, 0x22, 0xc5, 0xcc, 0x8d, 0xeb, 0x58, 0x3d, 0xb3, 0x50, 0xfc, 0x8b, 0x97, 0x96, 0x33}} , + {{0x93, 0x33, 0x07, 0xc8, 0x4a, 0xca, 0xd0, 0xb1, 0xab, 0xbd, 0xdd, 0xa7, 0x7c, 0xac, 0x3e, 0x45, 0xcb, 0xcc, 0x07, 0x91, 0xbf, 0x35, 0x9d, 0xcb, 0x7d, 0x12, 0x3c, 0x11, 0x59, 0x13, 0xcf, 0x5c}}}, +{{{0x45, 0xb8, 0x41, 0xd7, 0xab, 0x07, 0x15, 0x00, 0x8e, 0xce, 0xdf, 0xb2, 0x43, 0x5c, 0x01, 0xdc, 0xf4, 0x01, 0x51, 0x95, 0x10, 0x5a, 0xf6, 0x24, 0x24, 0xa0, 0x19, 0x3a, 0x09, 0x2a, 0xaa, 0x3f}} , + {{0xdc, 0x8e, 0xeb, 0xc6, 0xbf, 0xdd, 0x11, 0x7b, 0xe7, 0x47, 0xe6, 0xce, 0xe7, 0xb6, 0xc5, 0xe8, 0x8a, 0xdc, 0x4b, 0x57, 0x15, 0x3b, 0x66, 0xca, 0x89, 0xa3, 0xfd, 0xac, 0x0d, 0xe1, 0x1d, 0x7a}}}, +{{{0x89, 0xef, 0xbf, 0x03, 0x75, 0xd0, 0x29, 0x50, 0xcb, 0x7d, 0xd6, 0xbe, 0xad, 0x5f, 0x7b, 0x00, 0x32, 0xaa, 0x98, 0xed, 0x3f, 0x8f, 0x92, 0xcb, 0x81, 0x56, 0x01, 0x63, 0x64, 0xa3, 0x38, 0x39}} , + {{0x8b, 0xa4, 0xd6, 0x50, 0xb4, 0xaa, 0x5d, 0x64, 0x64, 0x76, 0x2e, 0xa1, 0xa6, 0xb3, 0xb8, 0x7c, 0x7a, 0x56, 0xf5, 0x5c, 0x4e, 0x84, 0x5c, 0xfb, 0xdd, 0xca, 0x48, 0x8b, 0x48, 0xb9, 0xba, 0x34}}}, +{{{0xc5, 0xe3, 0xe8, 0xae, 0x17, 0x27, 0xe3, 0x64, 0x60, 0x71, 0x47, 0x29, 0x02, 0x0f, 0x92, 0x5d, 0x10, 0x93, 0xc8, 0x0e, 0xa1, 0xed, 0xba, 0xa9, 0x96, 0x1c, 0xc5, 0x76, 0x30, 0xcd, 0xf9, 0x30}} , + {{0x95, 0xb0, 0xbd, 0x8c, 0xbc, 0xa7, 0x4f, 0x7e, 0xfd, 0x4e, 0x3a, 0xbf, 0x5f, 0x04, 0x79, 0x80, 0x2b, 0x5a, 0x9f, 0x4f, 0x68, 0x21, 0x19, 0x71, 0xc6, 0x20, 0x01, 0x42, 0xaa, 0xdf, 0xae, 0x2c}}}, +{{{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}}}, +{{{0x90, 0x6e, 0x7e, 0x4b, 0x71, 0x93, 0xc0, 0x72, 0xed, 0xeb, 0x71, 0x24, 0x97, 0x26, 0x9c, 0xfe, 0xcb, 0x3e, 0x59, 0x19, 0xa8, 0x0f, 0x75, 0x7d, 0xbe, 0x18, 0xe6, 0x96, 0x1e, 0x95, 0x70, 0x60}} , + {{0x89, 0x66, 0x3e, 0x1d, 0x4c, 0x5f, 0xfe, 0xc0, 0x04, 0x43, 0xd6, 0x44, 0x19, 0xb5, 0xad, 0xc7, 0x22, 0xdc, 0x71, 0x28, 0x64, 0xde, 0x41, 0x38, 0x27, 0x8f, 0x2c, 0x6b, 0x08, 0xb8, 0xb8, 0x7b}}}, +{{{0x3d, 0x70, 0x27, 0x9d, 0xd9, 0xaf, 0xb1, 0x27, 0xaf, 0xe3, 0x5d, 0x1e, 0x3a, 0x30, 0x54, 0x61, 0x60, 0xe8, 0xc3, 0x26, 0x3a, 0xbc, 0x7e, 0xf5, 0x81, 0xdd, 0x64, 0x01, 0x04, 0xeb, 0xc0, 0x1e}} , + {{0xda, 0x2c, 0xa4, 0xd1, 0xa1, 0xc3, 0x5c, 0x6e, 0x32, 0x07, 0x1f, 0xb8, 0x0e, 0x19, 0x9e, 0x99, 0x29, 0x33, 0x9a, 0xae, 0x7a, 0xed, 0x68, 0x42, 0x69, 0x7c, 0x07, 0xb3, 0x38, 0x2c, 0xf6, 0x3d}}}, +{{{0x64, 0xaa, 0xb5, 0x88, 0x79, 0x65, 0x38, 0x8c, 0x94, 0xd6, 0x62, 0x37, 0x7d, 0x64, 0xcd, 0x3a, 0xeb, 0xff, 0xe8, 0x81, 0x09, 0xc7, 0x6a, 0x50, 0x09, 0x0d, 0x28, 0x03, 0x0d, 0x9a, 0x93, 0x0a}} , + {{0x42, 0xa3, 0xf1, 0xc5, 0xb4, 0x0f, 0xd8, 0xc8, 0x8d, 0x15, 0x31, 0xbd, 0xf8, 0x07, 0x8b, 0xcd, 0x08, 0x8a, 0xfb, 0x18, 0x07, 0xfe, 0x8e, 0x52, 0x86, 0xef, 0xbe, 0xec, 0x49, 0x52, 0x99, 0x08}}}, +{{{0x0f, 0xa9, 0xd5, 0x01, 0xaa, 0x48, 0x4f, 0x28, 0x66, 0x32, 0x1a, 0xba, 0x7c, 0xea, 0x11, 0x80, 0x17, 0x18, 0x9b, 0x56, 0x88, 0x25, 0x06, 0x69, 0x12, 0x2c, 0xea, 0x56, 0x69, 0x41, 0x24, 0x19}} , + {{0xde, 0x21, 0xf0, 0xda, 0x8a, 0xfb, 0xb1, 0xb8, 0xcd, 0xc8, 0x6a, 0x82, 0x19, 0x73, 0xdb, 0xc7, 0xcf, 0x88, 0xeb, 0x96, 0xee, 0x6f, 0xfb, 0x06, 0xd2, 0xcd, 0x7d, 0x7b, 0x12, 0x28, 0x8e, 0x0c}}}, +{{{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}}}, +{{{0x93, 0x44, 0x97, 0xce, 0x28, 0xff, 0x3a, 0x40, 0xc4, 0xf5, 0xf6, 0x9b, 0xf4, 0x6b, 0x07, 0x84, 0xfb, 0x98, 0xd8, 0xec, 0x8c, 0x03, 0x57, 0xec, 0x49, 0xed, 0x63, 0xb6, 0xaa, 0xff, 0x98, 0x28}} , + {{0x3d, 0x16, 0x35, 0xf3, 0x46, 0xbc, 0xb3, 0xf4, 0xc6, 0xb6, 0x4f, 0xfa, 0xf4, 0xa0, 0x13, 0xe6, 0x57, 0x45, 0x93, 0xb9, 0xbc, 0xd6, 0x59, 0xe7, 0x77, 0x94, 0x6c, 0xab, 0x96, 0x3b, 0x4f, 0x09}}}, +{{{0x5a, 0xf7, 0x6b, 0x01, 0x12, 0x4f, 0x51, 0xc1, 0x70, 0x84, 0x94, 0x47, 0xb2, 0x01, 0x6c, 0x71, 0xd7, 0xcc, 0x17, 0x66, 0x0f, 0x59, 0x5d, 0x5d, 0x10, 0x01, 0x57, 0x11, 0xf5, 0xdd, 0xe2, 0x34}} , + {{0x26, 0xd9, 0x1f, 0x5c, 0x58, 0xac, 0x8b, 0x03, 0xd2, 0xc3, 0x85, 0x0f, 0x3a, 0xc3, 0x7f, 0x6d, 0x8e, 0x86, 0xcd, 0x52, 0x74, 0x8f, 0x55, 0x77, 0x17, 0xb7, 0x8e, 0xb7, 0x88, 0xea, 0xda, 0x1b}}}, +{{{0xb6, 0xea, 0x0e, 0x40, 0x93, 0x20, 0x79, 0x35, 0x6a, 0x61, 0x84, 0x5a, 0x07, 0x6d, 0xf9, 0x77, 0x6f, 0xed, 0x69, 0x1c, 0x0d, 0x25, 0x76, 0xcc, 0xf0, 0xdb, 0xbb, 0xc5, 0xad, 0xe2, 0x26, 0x57}} , + {{0xcf, 0xe8, 0x0e, 0x6b, 0x96, 0x7d, 0xed, 0x27, 0xd1, 0x3c, 0xa9, 0xd9, 0x50, 0xa9, 0x98, 0x84, 0x5e, 0x86, 0xef, 0xd6, 0xf0, 0xf8, 0x0e, 0x89, 0x05, 0x2f, 0xd9, 0x5f, 0x15, 0x5f, 0x73, 0x79}}}, +{{{0xc8, 0x5c, 0x16, 0xfe, 0xed, 0x9f, 0x26, 0x56, 0xf6, 0x4b, 0x9f, 0xa7, 0x0a, 0x85, 0xfe, 0xa5, 0x8c, 0x87, 0xdd, 0x98, 0xce, 0x4e, 0xc3, 0x58, 0x55, 0xb2, 0x7b, 0x3d, 0xd8, 0x6b, 0xb5, 0x4c}} , + {{0x65, 0x38, 0xa0, 0x15, 0xfa, 0xa7, 0xb4, 0x8f, 0xeb, 0xc4, 0x86, 0x9b, 0x30, 0xa5, 0x5e, 0x4d, 0xea, 0x8a, 0x9a, 0x9f, 0x1a, 0xd8, 0x5b, 0x53, 0x14, 0x19, 0x25, 0x63, 0xb4, 0x6f, 0x1f, 0x5d}}}, +{{{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}}}, +{{{0xac, 0x8f, 0xbc, 0x1e, 0x7d, 0x8b, 0x5a, 0x0b, 0x8d, 0xaf, 0x76, 0x2e, 0x71, 0xe3, 0x3b, 0x6f, 0x53, 0x2f, 0x3e, 0x90, 0x95, 0xd4, 0x35, 0x14, 0x4f, 0x8c, 0x3c, 0xce, 0x57, 0x1c, 0x76, 0x49}} , + {{0xa8, 0x50, 0xe1, 0x61, 0x6b, 0x57, 0x35, 0xeb, 0x44, 0x0b, 0x0c, 0x6e, 0xf9, 0x25, 0x80, 0x74, 0xf2, 0x8f, 0x6f, 0x7a, 0x3e, 0x7f, 0x2d, 0xf3, 0x4e, 0x09, 0x65, 0x10, 0x5e, 0x03, 0x25, 0x32}}}, +{{{0xa9, 0x60, 0xdc, 0x0f, 0x64, 0xe5, 0x1d, 0xe2, 0x8d, 0x4f, 0x79, 0x2f, 0x0e, 0x24, 0x02, 0x00, 0x05, 0x77, 0x43, 0x25, 0x3d, 0x6a, 0xc7, 0xb7, 0xbf, 0x04, 0x08, 0x65, 0xf4, 0x39, 0x4b, 0x65}} , + {{0x96, 0x19, 0x12, 0x6b, 0x6a, 0xb7, 0xe3, 0xdc, 0x45, 0x9b, 0xdb, 0xb4, 0xa8, 0xae, 0xdc, 0xa8, 0x14, 0x44, 0x65, 0x62, 0xce, 0x34, 0x9a, 0x84, 0x18, 0x12, 0x01, 0xf1, 0xe2, 0x7b, 0xce, 0x50}}}, +{{{0x41, 0x21, 0x30, 0x53, 0x1b, 0x47, 0x01, 0xb7, 0x18, 0xd8, 0x82, 0x57, 0xbd, 0xa3, 0x60, 0xf0, 0x32, 0xf6, 0x5b, 0xf0, 0x30, 0x88, 0x91, 0x59, 0xfd, 0x90, 0xa2, 0xb9, 0x55, 0x93, 0x21, 0x34}} , + {{0x97, 0x67, 0x9e, 0xeb, 0x6a, 0xf9, 0x6e, 0xd6, 0x73, 0xe8, 0x6b, 0x29, 0xec, 0x63, 0x82, 0x00, 0xa8, 0x99, 0x1c, 0x1d, 0x30, 0xc8, 0x90, 0x52, 0x90, 0xb6, 0x6a, 0x80, 0x4e, 0xff, 0x4b, 0x51}}}, +{{{0x0f, 0x7d, 0x63, 0x8c, 0x6e, 0x5c, 0xde, 0x30, 0xdf, 0x65, 0xfa, 0x2e, 0xb0, 0xa3, 0x25, 0x05, 0x54, 0xbd, 0x25, 0xba, 0x06, 0xae, 0xdf, 0x8b, 0xd9, 0x1b, 0xea, 0x38, 0xb3, 0x05, 0x16, 0x09}} , + {{0xc7, 0x8c, 0xbf, 0x64, 0x28, 0xad, 0xf8, 0xa5, 0x5a, 0x6f, 0xc9, 0xba, 0xd5, 0x7f, 0xd5, 0xd6, 0xbd, 0x66, 0x2f, 0x3d, 0xaa, 0x54, 0xf6, 0xba, 0x32, 0x22, 0x9a, 0x1e, 0x52, 0x05, 0xf4, 0x1d}}}, +{{{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}}}, +{{{0xaa, 0x1f, 0xbb, 0xeb, 0xfe, 0xe4, 0x87, 0xfc, 0xb1, 0x2c, 0xb7, 0x88, 0xf4, 0xc6, 0xb9, 0xf5, 0x24, 0x46, 0xf2, 0xa5, 0x9f, 0x8f, 0x8a, 0x93, 0x70, 0x69, 0xd4, 0x56, 0xec, 0xfd, 0x06, 0x46}} , + {{0x4e, 0x66, 0xcf, 0x4e, 0x34, 0xce, 0x0c, 0xd9, 0xa6, 0x50, 0xd6, 0x5e, 0x95, 0xaf, 0xe9, 0x58, 0xfa, 0xee, 0x9b, 0xb8, 0xa5, 0x0f, 0x35, 0xe0, 0x43, 0x82, 0x6d, 0x65, 0xe6, 0xd9, 0x00, 0x0f}}}, +{{{0x7b, 0x75, 0x3a, 0xfc, 0x64, 0xd3, 0x29, 0x7e, 0xdd, 0x49, 0x9a, 0x59, 0x53, 0xbf, 0xb4, 0xa7, 0x52, 0xb3, 0x05, 0xab, 0xc3, 0xaf, 0x16, 0x1a, 0x85, 0x42, 0x32, 0xa2, 0x86, 0xfa, 0x39, 0x43}} , + {{0x0e, 0x4b, 0xa3, 0x63, 0x8a, 0xfe, 0xa5, 0x58, 0xf1, 0x13, 0xbd, 0x9d, 0xaa, 0x7f, 0x76, 0x40, 0x70, 0x81, 0x10, 0x75, 0x99, 0xbb, 0xbe, 0x0b, 0x16, 0xe9, 0xba, 0x62, 0x34, 0xcc, 0x07, 0x6d}}}, +{{{0xc3, 0xf1, 0xc6, 0x93, 0x65, 0xee, 0x0b, 0xbc, 0xea, 0x14, 0xf0, 0xc1, 0xf8, 0x84, 0x89, 0xc2, 0xc9, 0xd7, 0xea, 0x34, 0xca, 0xa7, 0xc4, 0x99, 0xd5, 0x50, 0x69, 0xcb, 0xd6, 0x21, 0x63, 0x7c}} , + {{0x99, 0xeb, 0x7c, 0x31, 0x73, 0x64, 0x67, 0x7f, 0x0c, 0x66, 0xaa, 0x8c, 0x69, 0x91, 0xe2, 0x26, 0xd3, 0x23, 0xe2, 0x76, 0x5d, 0x32, 0x52, 0xdf, 0x5d, 0xc5, 0x8f, 0xb7, 0x7c, 0x84, 0xb3, 0x70}}}, +{{{0xeb, 0x01, 0xc7, 0x36, 0x97, 0x4e, 0xb6, 0xab, 0x5f, 0x0d, 0x2c, 0xba, 0x67, 0x64, 0x55, 0xde, 0xbc, 0xff, 0xa6, 0xec, 0x04, 0xd3, 0x8d, 0x39, 0x56, 0x5e, 0xee, 0xf8, 0xe4, 0x2e, 0x33, 0x62}} , + {{0x65, 0xef, 0xb8, 0x9f, 0xc8, 0x4b, 0xa7, 0xfd, 0x21, 0x49, 0x9b, 0x92, 0x35, 0x82, 0xd6, 0x0a, 0x9b, 0xf2, 0x79, 0xf1, 0x47, 0x2f, 0x6a, 0x7e, 0x9f, 0xcf, 0x18, 0x02, 0x3c, 0xfb, 0x1b, 0x3e}}}, +{{{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}}}, +{{{0x2f, 0x8b, 0xc8, 0x40, 0x51, 0xd1, 0xac, 0x1a, 0x0b, 0xe4, 0xa9, 0xa2, 0x42, 0x21, 0x19, 0x2f, 0x7b, 0x97, 0xbf, 0xf7, 0x57, 0x6d, 0x3f, 0x3d, 0x4f, 0x0f, 0xe2, 0xb2, 0x81, 0x00, 0x9e, 0x7b}} , + {{0x8c, 0x85, 0x2b, 0xc4, 0xfc, 0xf1, 0xab, 0xe8, 0x79, 0x22, 0xc4, 0x84, 0x17, 0x3a, 0xfa, 0x86, 0xa6, 0x7d, 0xf9, 0xf3, 0x6f, 0x03, 0x57, 0x20, 0x4d, 0x79, 0xf9, 0x6e, 0x71, 0x54, 0x38, 0x09}}}, +{{{0x40, 0x29, 0x74, 0xa8, 0x2f, 0x5e, 0xf9, 0x79, 0xa4, 0xf3, 0x3e, 0xb9, 0xfd, 0x33, 0x31, 0xac, 0x9a, 0x69, 0x88, 0x1e, 0x77, 0x21, 0x2d, 0xf3, 0x91, 0x52, 0x26, 0x15, 0xb2, 0xa6, 0xcf, 0x7e}} , + {{0xc6, 0x20, 0x47, 0x6c, 0xa4, 0x7d, 0xcb, 0x63, 0xea, 0x5b, 0x03, 0xdf, 0x3e, 0x88, 0x81, 0x6d, 0xce, 0x07, 0x42, 0x18, 0x60, 0x7e, 0x7b, 0x55, 0xfe, 0x6a, 0xf3, 0xda, 0x5c, 0x8b, 0x95, 0x10}}}, +{{{0x62, 0xe4, 0x0d, 0x03, 0xb4, 0xd7, 0xcd, 0xfa, 0xbd, 0x46, 0xdf, 0x93, 0x71, 0x10, 0x2c, 0xa8, 0x3b, 0xb6, 0x09, 0x05, 0x70, 0x84, 0x43, 0x29, 0xa8, 0x59, 0xf5, 0x8e, 0x10, 0xe4, 0xd7, 0x20}} , + {{0x57, 0x82, 0x1c, 0xab, 0xbf, 0x62, 0x70, 0xe8, 0xc4, 0xcf, 0xf0, 0x28, 0x6e, 0x16, 0x3c, 0x08, 0x78, 0x89, 0x85, 0x46, 0x0f, 0xf6, 0x7f, 0xcf, 0xcb, 0x7e, 0xb8, 0x25, 0xe9, 0x5a, 0xfa, 0x03}}}, +{{{0xfb, 0x95, 0x92, 0x63, 0x50, 0xfc, 0x62, 0xf0, 0xa4, 0x5e, 0x8c, 0x18, 0xc2, 0x17, 0x24, 0xb7, 0x78, 0xc2, 0xa9, 0xe7, 0x6a, 0x32, 0xd6, 0x29, 0x85, 0xaf, 0xcb, 0x8d, 0x91, 0x13, 0xda, 0x6b}} , + {{0x36, 0x0a, 0xc2, 0xb6, 0x4b, 0xa5, 0x5d, 0x07, 0x17, 0x41, 0x31, 0x5f, 0x62, 0x46, 0xf8, 0x92, 0xf9, 0x66, 0x48, 0x73, 0xa6, 0x97, 0x0d, 0x7d, 0x88, 0xee, 0x62, 0xb1, 0x03, 0xa8, 0x3f, 0x2c}}}, +{{{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}}}, +{{{0x4a, 0xb1, 0x70, 0x8a, 0xa9, 0xe8, 0x63, 0x79, 0x00, 0xe2, 0x25, 0x16, 0xca, 0x4b, 0x0f, 0xa4, 0x66, 0xad, 0x19, 0x9f, 0x88, 0x67, 0x0c, 0x8b, 0xc2, 0x4a, 0x5b, 0x2b, 0x6d, 0x95, 0xaf, 0x19}} , + {{0x8b, 0x9d, 0xb6, 0xcc, 0x60, 0xb4, 0x72, 0x4f, 0x17, 0x69, 0x5a, 0x4a, 0x68, 0x34, 0xab, 0xa1, 0x45, 0x32, 0x3c, 0x83, 0x87, 0x72, 0x30, 0x54, 0x77, 0x68, 0xae, 0xfb, 0xb5, 0x8b, 0x22, 0x5e}}}, +{{{0xf1, 0xb9, 0x87, 0x35, 0xc5, 0xbb, 0xb9, 0xcf, 0xf5, 0xd6, 0xcd, 0xd5, 0x0c, 0x7c, 0x0e, 0xe6, 0x90, 0x34, 0xfb, 0x51, 0x42, 0x1e, 0x6d, 0xac, 0x9a, 0x46, 0xc4, 0x97, 0x29, 0x32, 0xbf, 0x45}} , + {{0x66, 0x9e, 0xc6, 0x24, 0xc0, 0xed, 0xa5, 0x5d, 0x88, 0xd4, 0xf0, 0x73, 0x97, 0x7b, 0xea, 0x7f, 0x42, 0xff, 0x21, 0xa0, 0x9b, 0x2f, 0x9a, 0xfd, 0x53, 0x57, 0x07, 0x84, 0x48, 0x88, 0x9d, 0x52}}}, +{{{0xc6, 0x96, 0x48, 0x34, 0x2a, 0x06, 0xaf, 0x94, 0x3d, 0xf4, 0x1a, 0xcf, 0xf2, 0xc0, 0x21, 0xc2, 0x42, 0x5e, 0xc8, 0x2f, 0x35, 0xa2, 0x3e, 0x29, 0xfa, 0x0c, 0x84, 0xe5, 0x89, 0x72, 0x7c, 0x06}} , + {{0x32, 0x65, 0x03, 0xe5, 0x89, 0xa6, 0x6e, 0xb3, 0x5b, 0x8e, 0xca, 0xeb, 0xfe, 0x22, 0x56, 0x8b, 0x5d, 0x14, 0x4b, 0x4d, 0xf9, 0xbe, 0xb5, 0xf5, 0xe6, 0x5c, 0x7b, 0x8b, 0xf4, 0x13, 0x11, 0x34}}}, +{{{0x07, 0xc6, 0x22, 0x15, 0xe2, 0x9c, 0x60, 0xa2, 0x19, 0xd9, 0x27, 0xae, 0x37, 0x4e, 0xa6, 0xc9, 0x80, 0xa6, 0x91, 0x8f, 0x12, 0x49, 0xe5, 0x00, 0x18, 0x47, 0xd1, 0xd7, 0x28, 0x22, 0x63, 0x39}} , + {{0xe8, 0xe2, 0x00, 0x7e, 0xf2, 0x9e, 0x1e, 0x99, 0x39, 0x95, 0x04, 0xbd, 0x1e, 0x67, 0x7b, 0xb2, 0x26, 0xac, 0xe6, 0xaa, 0xe2, 0x46, 0xd5, 0xe4, 0xe8, 0x86, 0xbd, 0xab, 0x7c, 0x55, 0x59, 0x6f}}}, +{{{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}}}, +{{{0x24, 0x64, 0x6e, 0x9b, 0x35, 0x71, 0x78, 0xce, 0x33, 0x03, 0x21, 0x33, 0x36, 0xf1, 0x73, 0x9b, 0xb9, 0x15, 0x8b, 0x2c, 0x69, 0xcf, 0x4d, 0xed, 0x4f, 0x4d, 0x57, 0x14, 0x13, 0x82, 0xa4, 0x4d}} , + {{0x65, 0x6e, 0x0a, 0xa4, 0x59, 0x07, 0x17, 0xf2, 0x6b, 0x4a, 0x1f, 0x6e, 0xf6, 0xb5, 0xbc, 0x62, 0xe4, 0xb6, 0xda, 0xa2, 0x93, 0xbc, 0x29, 0x05, 0xd2, 0xd2, 0x73, 0x46, 0x03, 0x16, 0x40, 0x31}}}, +{{{0x4c, 0x73, 0x6d, 0x15, 0xbd, 0xa1, 0x4d, 0x5c, 0x13, 0x0b, 0x24, 0x06, 0x98, 0x78, 0x1c, 0x5b, 0xeb, 0x1f, 0x18, 0x54, 0x43, 0xd9, 0x55, 0x66, 0xda, 0x29, 0x21, 0xe8, 0xb8, 0x3c, 0x42, 0x22}} , + {{0xb4, 0xcd, 0x08, 0x6f, 0x15, 0x23, 0x1a, 0x0b, 0x22, 0xed, 0xd1, 0xf1, 0xa7, 0xc7, 0x73, 0x45, 0xf3, 0x9e, 0xce, 0x76, 0xb7, 0xf6, 0x39, 0xb6, 0x8e, 0x79, 0xbe, 0xe9, 0x9b, 0xcf, 0x7d, 0x62}}}, +{{{0x92, 0x5b, 0xfc, 0x72, 0xfd, 0xba, 0xf1, 0xfd, 0xa6, 0x7c, 0x95, 0xe3, 0x61, 0x3f, 0xe9, 0x03, 0xd4, 0x2b, 0xd4, 0x20, 0xd9, 0xdb, 0x4d, 0x32, 0x3e, 0xf5, 0x11, 0x64, 0xe3, 0xb4, 0xbe, 0x32}} , + {{0x86, 0x17, 0x90, 0xe7, 0xc9, 0x1f, 0x10, 0xa5, 0x6a, 0x2d, 0x39, 0xd0, 0x3b, 0xc4, 0xa6, 0xe9, 0x59, 0x13, 0xda, 0x1a, 0xe6, 0xa0, 0xb9, 0x3c, 0x50, 0xb8, 0x40, 0x7c, 0x15, 0x36, 0x5a, 0x42}}}, +{{{0xb4, 0x0b, 0x32, 0xab, 0xdc, 0x04, 0x51, 0x55, 0x21, 0x1e, 0x0b, 0x75, 0x99, 0x89, 0x73, 0x35, 0x3a, 0x91, 0x2b, 0xfe, 0xe7, 0x49, 0xea, 0x76, 0xc1, 0xf9, 0x46, 0xb9, 0x53, 0x02, 0x23, 0x04}} , + {{0xfc, 0x5a, 0x1e, 0x1d, 0x74, 0x58, 0x95, 0xa6, 0x8f, 0x7b, 0x97, 0x3e, 0x17, 0x3b, 0x79, 0x2d, 0xa6, 0x57, 0xef, 0x45, 0x02, 0x0b, 0x4d, 0x6e, 0x9e, 0x93, 0x8d, 0x2f, 0xd9, 0x9d, 0xdb, 0x04}}}, +{{{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}}}, +{{{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}} , + {{0x02, 0xfb, 0x54, 0xb8, 0x05, 0xf3, 0x81, 0x52, 0x69, 0x34, 0x46, 0x9d, 0x86, 0x76, 0x8f, 0xd7, 0xf8, 0x6a, 0x66, 0xff, 0xe6, 0xa7, 0x90, 0xf7, 0x5e, 0xcd, 0x6a, 0x9b, 0x55, 0xfc, 0x9d, 0x48}}}, +{{{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}}}, +{{{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}}}, +{{{0x24, 0xea, 0x23, 0x7d, 0x56, 0x2c, 0xe2, 0x59, 0x0e, 0x85, 0x60, 0x04, 0x88, 0x5a, 0x74, 0x1e, 0x4b, 0xef, 0x13, 0xda, 0x4c, 0xff, 0x83, 0x45, 0x85, 0x3f, 0x08, 0x95, 0x2c, 0x20, 0x13, 0x1f}} , + {{0x48, 0x5f, 0x27, 0x90, 0x5c, 0x02, 0x42, 0xad, 0x78, 0x47, 0x5c, 0xb5, 0x7e, 0x08, 0x85, 0x00, 0xfa, 0x7f, 0xfd, 0xfd, 0xe7, 0x09, 0x11, 0xf2, 0x7e, 0x1b, 0x38, 0x6c, 0x35, 0x6d, 0x33, 0x66}}}, +{{{0x93, 0x03, 0x36, 0x81, 0xac, 0xe4, 0x20, 0x09, 0x35, 0x4c, 0x45, 0xb2, 0x1e, 0x4c, 0x14, 0x21, 0xe6, 0xe9, 0x8a, 0x7b, 0x8d, 0xfe, 0x1e, 0xc6, 0x3e, 0xc1, 0x35, 0xfa, 0xe7, 0x70, 0x4e, 0x1d}} , + {{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}}}, +{{{0xbb, 0x71, 0x14, 0x5e, 0x26, 0x8c, 0x3d, 0xc8, 0xe9, 0x7c, 0xd3, 0xd6, 0xd1, 0x2f, 0x07, 0x6d, 0xe6, 0xdf, 0xfb, 0x79, 0xd6, 0x99, 0x59, 0x96, 0x48, 0x40, 0x0f, 0x3a, 0x7b, 0xb2, 0xa0, 0x72}} , + {{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}}}, +{{{0x24, 0xe8, 0xb7, 0x60, 0xae, 0x47, 0x80, 0xfc, 0xe5, 0x23, 0xe7, 0xc2, 0xc9, 0x85, 0xe6, 0x98, 0xa0, 0x29, 0x4e, 0xe1, 0x84, 0x39, 0x2d, 0x95, 0x2c, 0xf3, 0x45, 0x3c, 0xff, 0xaf, 0x27, 0x4c}} , + {{0x6b, 0xa6, 0xf5, 0x4b, 0x11, 0xbd, 0xba, 0x5b, 0x9e, 0xc4, 0xa4, 0x51, 0x1e, 0xbe, 0xd0, 0x90, 0x3a, 0x9c, 0xc2, 0x26, 0xb6, 0x1e, 0xf1, 0x95, 0x7d, 0xc8, 0x6d, 0x52, 0xe6, 0x99, 0x2c, 0x5f}}}, +{{{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}}}, +{{{0x85, 0xe0, 0x24, 0x32, 0xb4, 0xd1, 0xef, 0xfc, 0x69, 0xa2, 0xbf, 0x8f, 0x72, 0x2c, 0x95, 0xf6, 0xe4, 0x6e, 0x7d, 0x90, 0xf7, 0x57, 0x81, 0xa0, 0xf7, 0xda, 0xef, 0x33, 0x07, 0xe3, 0x6b, 0x78}} , + {{0x36, 0x27, 0x3e, 0xc6, 0x12, 0x07, 0xab, 0x4e, 0xbe, 0x69, 0x9d, 0xb3, 0xbe, 0x08, 0x7c, 0x2a, 0x47, 0x08, 0xfd, 0xd4, 0xcd, 0x0e, 0x27, 0x34, 0x5b, 0x98, 0x34, 0x2f, 0x77, 0x5f, 0x3a, 0x65}}}, +{{{0x13, 0xaa, 0x2e, 0x4c, 0xf0, 0x22, 0xb8, 0x6c, 0xb3, 0x19, 0x4d, 0xeb, 0x6b, 0xd0, 0xa4, 0xc6, 0x9c, 0xdd, 0xc8, 0x5b, 0x81, 0x57, 0x89, 0xdf, 0x33, 0xa9, 0x68, 0x49, 0x80, 0xe4, 0xfe, 0x21}} , + {{0x00, 0x17, 0x90, 0x30, 0xe9, 0xd3, 0x60, 0x30, 0x31, 0xc2, 0x72, 0x89, 0x7a, 0x36, 0xa5, 0xbd, 0x39, 0x83, 0x85, 0x50, 0xa1, 0x5d, 0x6c, 0x41, 0x1d, 0xb5, 0x2c, 0x07, 0x40, 0x77, 0x0b, 0x50}}}, +{{{0x64, 0x34, 0xec, 0xc0, 0x9e, 0x44, 0x41, 0xaf, 0xa0, 0x36, 0x05, 0x6d, 0xea, 0x30, 0x25, 0x46, 0x35, 0x24, 0x9d, 0x86, 0xbd, 0x95, 0xf1, 0x6a, 0x46, 0xd7, 0x94, 0x54, 0xf9, 0x3b, 0xbd, 0x5d}} , + {{0x77, 0x5b, 0xe2, 0x37, 0xc7, 0xe1, 0x7c, 0x13, 0x8c, 0x9f, 0x7b, 0x7b, 0x2a, 0xce, 0x42, 0xa3, 0xb9, 0x2a, 0x99, 0xa8, 0xc0, 0xd8, 0x3c, 0x86, 0xb0, 0xfb, 0xe9, 0x76, 0x77, 0xf7, 0xf5, 0x56}}}, +{{{0xdf, 0xb3, 0x46, 0x11, 0x6e, 0x13, 0xb7, 0x28, 0x4e, 0x56, 0xdd, 0xf1, 0xac, 0xad, 0x58, 0xc3, 0xf8, 0x88, 0x94, 0x5e, 0x06, 0x98, 0xa1, 0xe4, 0x6a, 0xfb, 0x0a, 0x49, 0x5d, 0x8a, 0xfe, 0x77}} , + {{0x46, 0x02, 0xf5, 0xa5, 0xaf, 0xc5, 0x75, 0x6d, 0xba, 0x45, 0x35, 0x0a, 0xfe, 0xc9, 0xac, 0x22, 0x91, 0x8d, 0x21, 0x95, 0x33, 0x03, 0xc0, 0x8a, 0x16, 0xf3, 0x39, 0xe0, 0x01, 0x0f, 0x53, 0x3c}}}, +{{{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}}}, +{{{0x34, 0x75, 0x37, 0x1f, 0x34, 0x4e, 0xa9, 0x1d, 0x68, 0x67, 0xf8, 0x49, 0x98, 0x96, 0xfc, 0x4c, 0x65, 0x97, 0xf7, 0x02, 0x4a, 0x52, 0x6c, 0x01, 0xbd, 0x48, 0xbb, 0x1b, 0xed, 0xa4, 0xe2, 0x53}} , + {{0x59, 0xd5, 0x9b, 0x5a, 0xa2, 0x90, 0xd3, 0xb8, 0x37, 0x4c, 0x55, 0x82, 0x28, 0x08, 0x0f, 0x7f, 0xaa, 0x81, 0x65, 0xe0, 0x0c, 0x52, 0xc9, 0xa3, 0x32, 0x27, 0x64, 0xda, 0xfd, 0x34, 0x23, 0x5a}}}, +{{{0xb5, 0xb0, 0x0c, 0x4d, 0xb3, 0x7b, 0x23, 0xc8, 0x1f, 0x8a, 0x39, 0x66, 0xe6, 0xba, 0x4c, 0x10, 0x37, 0xca, 0x9c, 0x7c, 0x05, 0x9e, 0xff, 0xc0, 0xf8, 0x8e, 0xb1, 0x8f, 0x6f, 0x67, 0x18, 0x26}} , + {{0x4b, 0x41, 0x13, 0x54, 0x23, 0x1a, 0xa4, 0x4e, 0xa9, 0x8b, 0x1e, 0x4b, 0xfc, 0x15, 0x24, 0xbb, 0x7e, 0xcb, 0xb6, 0x1e, 0x1b, 0xf5, 0xf2, 0xc8, 0x56, 0xec, 0x32, 0xa2, 0x60, 0x5b, 0xa0, 0x2a}}}, +{{{0xa4, 0x29, 0x47, 0x86, 0x2e, 0x92, 0x4f, 0x11, 0x4f, 0xf3, 0xb2, 0x5c, 0xd5, 0x3e, 0xa6, 0xb9, 0xc8, 0xe2, 0x33, 0x11, 0x1f, 0x01, 0x8f, 0xb0, 0x9b, 0xc7, 0xa5, 0xff, 0x83, 0x0f, 0x1e, 0x28}} , + {{0x1d, 0x29, 0x7a, 0xa1, 0xec, 0x8e, 0xb5, 0xad, 0xea, 0x02, 0x68, 0x60, 0x74, 0x29, 0x1c, 0xa5, 0xcf, 0xc8, 0x3b, 0x7d, 0x8b, 0x2b, 0x7c, 0xad, 0xa4, 0x40, 0x17, 0x51, 0x59, 0x7c, 0x2e, 0x5d}}}, +{{{0x0a, 0x6c, 0x4f, 0xbc, 0x3e, 0x32, 0xe7, 0x4a, 0x1a, 0x13, 0xc1, 0x49, 0x38, 0xbf, 0xf7, 0xc2, 0xd3, 0x8f, 0x6b, 0xad, 0x52, 0xf7, 0xcf, 0xbc, 0x27, 0xcb, 0x40, 0x67, 0x76, 0xcd, 0x6d, 0x56}} , + {{0xe5, 0xb0, 0x27, 0xad, 0xbe, 0x9b, 0xf2, 0xb5, 0x63, 0xde, 0x3a, 0x23, 0x95, 0xb7, 0x0a, 0x7e, 0xf3, 0x9e, 0x45, 0x6f, 0x19, 0x39, 0x75, 0x8f, 0x39, 0x3d, 0x0f, 0xc0, 0x9f, 0xf1, 0xe9, 0x51}}}, +{{{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}}}, +{{{0x88, 0xaa, 0x14, 0x24, 0x86, 0x94, 0x11, 0x12, 0x3e, 0x1a, 0xb5, 0xcc, 0xbb, 0xe0, 0x9c, 0xd5, 0x9c, 0x6d, 0xba, 0x58, 0x72, 0x8d, 0xfb, 0x22, 0x7b, 0x9f, 0x7c, 0x94, 0x30, 0xb3, 0x51, 0x21}} , + {{0xf6, 0x74, 0x3d, 0xf2, 0xaf, 0xd0, 0x1e, 0x03, 0x7c, 0x23, 0x6b, 0xc9, 0xfc, 0x25, 0x70, 0x90, 0xdc, 0x9a, 0xa4, 0xfb, 0x49, 0xfc, 0x3d, 0x0a, 0x35, 0x38, 0x6f, 0xe4, 0x7e, 0x50, 0x01, 0x2a}}}, +{{{0xd6, 0xe3, 0x96, 0x61, 0x3a, 0xfd, 0xef, 0x9b, 0x1f, 0x90, 0xa4, 0x24, 0x14, 0x5b, 0xc8, 0xde, 0x50, 0xb1, 0x1d, 0xaf, 0xe8, 0x55, 0x8a, 0x87, 0x0d, 0xfe, 0xaa, 0x3b, 0x82, 0x2c, 0x8d, 0x7b}} , + {{0x85, 0x0c, 0xaf, 0xf8, 0x83, 0x44, 0x49, 0xd9, 0x45, 0xcf, 0xf7, 0x48, 0xd9, 0x53, 0xb4, 0xf1, 0x65, 0xa0, 0xe1, 0xc3, 0xb3, 0x15, 0xed, 0x89, 0x9b, 0x4f, 0x62, 0xb3, 0x57, 0xa5, 0x45, 0x1c}}}, +{{{0x8f, 0x12, 0xea, 0xaf, 0xd1, 0x1f, 0x79, 0x10, 0x0b, 0xf6, 0xa3, 0x7b, 0xea, 0xac, 0x8b, 0x57, 0x32, 0x62, 0xe7, 0x06, 0x12, 0x51, 0xa0, 0x3b, 0x43, 0x5e, 0xa4, 0x20, 0x78, 0x31, 0xce, 0x0d}} , + {{0x84, 0x7c, 0xc2, 0xa6, 0x91, 0x23, 0xce, 0xbd, 0xdc, 0xf9, 0xce, 0xd5, 0x75, 0x30, 0x22, 0xe6, 0xf9, 0x43, 0x62, 0x0d, 0xf7, 0x75, 0x9d, 0x7f, 0x8c, 0xff, 0x7d, 0xe4, 0x72, 0xac, 0x9f, 0x1c}}}, +{{{0x88, 0xc1, 0x99, 0xd0, 0x3c, 0x1c, 0x5d, 0xb4, 0xef, 0x13, 0x0f, 0x90, 0xb9, 0x36, 0x2f, 0x95, 0x95, 0xc6, 0xdc, 0xde, 0x0a, 0x51, 0xe2, 0x8d, 0xf3, 0xbc, 0x51, 0xec, 0xdf, 0xb1, 0xa2, 0x5f}} , + {{0x2e, 0x68, 0xa1, 0x23, 0x7d, 0x9b, 0x40, 0x69, 0x85, 0x7b, 0x42, 0xbf, 0x90, 0x4b, 0xd6, 0x40, 0x2f, 0xd7, 0x52, 0x52, 0xb2, 0x21, 0xde, 0x64, 0xbd, 0x88, 0xc3, 0x6d, 0xa5, 0xfa, 0x81, 0x3f}}}, +{{{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}}}, +{{{0xfb, 0xfd, 0x47, 0x7b, 0x8a, 0x66, 0x9e, 0x79, 0x2e, 0x64, 0x82, 0xef, 0xf7, 0x21, 0xec, 0xf6, 0xd8, 0x86, 0x09, 0x31, 0x7c, 0xdd, 0x03, 0x6a, 0x58, 0xa0, 0x77, 0xb7, 0x9b, 0x8c, 0x87, 0x1f}} , + {{0x55, 0x47, 0xe4, 0xa8, 0x3d, 0x55, 0x21, 0x34, 0xab, 0x1d, 0xae, 0xe0, 0xf4, 0xea, 0xdb, 0xc5, 0xb9, 0x58, 0xbf, 0xc4, 0x2a, 0x89, 0x31, 0x1a, 0xf4, 0x2d, 0xe1, 0xca, 0x37, 0x99, 0x47, 0x59}}}, +{{{0xc7, 0xca, 0x63, 0xc1, 0x49, 0xa9, 0x35, 0x45, 0x55, 0x7e, 0xda, 0x64, 0x32, 0x07, 0x50, 0xf7, 0x32, 0xac, 0xde, 0x75, 0x58, 0x9b, 0x11, 0xb2, 0x3a, 0x1f, 0xf5, 0xf7, 0x79, 0x04, 0xe6, 0x08}} , + {{0x46, 0xfa, 0x22, 0x4b, 0xfa, 0xe1, 0xfe, 0x96, 0xfc, 0x67, 0xba, 0x67, 0x97, 0xc4, 0xe7, 0x1b, 0x86, 0x90, 0x5f, 0xee, 0xf4, 0x5b, 0x11, 0xb2, 0xcd, 0xad, 0xee, 0xc2, 0x48, 0x6c, 0x2b, 0x1b}}}, +{{{0xe3, 0x39, 0x62, 0xb4, 0x4f, 0x31, 0x04, 0xc9, 0xda, 0xd5, 0x73, 0x51, 0x57, 0xc5, 0xb8, 0xf3, 0xa3, 0x43, 0x70, 0xe4, 0x61, 0x81, 0x84, 0xe2, 0xbb, 0xbf, 0x4f, 0x9e, 0xa4, 0x5e, 0x74, 0x06}} , + {{0x29, 0xac, 0xff, 0x27, 0xe0, 0x59, 0xbe, 0x39, 0x9c, 0x0d, 0x83, 0xd7, 0x10, 0x0b, 0x15, 0xb7, 0xe1, 0xc2, 0x2c, 0x30, 0x73, 0x80, 0x3a, 0x7d, 0x5d, 0xab, 0x58, 0x6b, 0xc1, 0xf0, 0xf4, 0x22}}}, +{{{0xfe, 0x7f, 0xfb, 0x35, 0x7d, 0xc6, 0x01, 0x23, 0x28, 0xc4, 0x02, 0xac, 0x1f, 0x42, 0xb4, 0x9d, 0xfc, 0x00, 0x94, 0xa5, 0xee, 0xca, 0xda, 0x97, 0x09, 0x41, 0x77, 0x87, 0x5d, 0x7b, 0x87, 0x78}} , + {{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}}}, +{{{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}}}, +{{{0xff, 0x10, 0xc2, 0x09, 0x4f, 0x6e, 0xf4, 0xd2, 0xdf, 0x7e, 0xca, 0x7b, 0x1c, 0x1d, 0xba, 0xa3, 0xb6, 0xda, 0x67, 0x33, 0xd4, 0x87, 0x36, 0x4b, 0x11, 0x20, 0x05, 0xa6, 0x29, 0xc1, 0x87, 0x17}} , + {{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}}}, +{{{0x5c, 0xe5, 0xc6, 0x04, 0x8e, 0x2b, 0x57, 0xbe, 0x38, 0x85, 0x23, 0xcb, 0xb7, 0xbe, 0x4f, 0xa9, 0xd3, 0x6e, 0x12, 0xaa, 0xd5, 0xb2, 0x2e, 0x93, 0x29, 0x9a, 0x4a, 0x88, 0x18, 0x43, 0xf5, 0x01}} , + {{0x50, 0xfc, 0xdb, 0xa2, 0x59, 0x21, 0x8d, 0xbd, 0x7e, 0x33, 0xae, 0x2f, 0x87, 0x1a, 0xd0, 0x97, 0xc7, 0x0d, 0x4d, 0x63, 0x01, 0xef, 0x05, 0x84, 0xec, 0x40, 0xdd, 0xa8, 0x0a, 0x4f, 0x70, 0x0b}}}, +{{{0x41, 0x69, 0x01, 0x67, 0x5c, 0xd3, 0x8a, 0xc5, 0xcf, 0x3f, 0xd1, 0x57, 0xd1, 0x67, 0x3e, 0x01, 0x39, 0xb5, 0xcb, 0x81, 0x56, 0x96, 0x26, 0xb6, 0xc2, 0xe7, 0x5c, 0xfb, 0x63, 0x97, 0x58, 0x06}} , + {{0x0c, 0x0e, 0xf3, 0xba, 0xf0, 0xe5, 0xba, 0xb2, 0x57, 0x77, 0xc6, 0x20, 0x9b, 0x89, 0x24, 0xbe, 0xf2, 0x9c, 0x8a, 0xba, 0x69, 0xc1, 0xf1, 0xb0, 0x4f, 0x2a, 0x05, 0x9a, 0xee, 0x10, 0x7e, 0x36}}}, +{{{0x3f, 0x26, 0xe9, 0x40, 0xe9, 0x03, 0xad, 0x06, 0x69, 0x91, 0xe0, 0xd1, 0x89, 0x60, 0x84, 0x79, 0xde, 0x27, 0x6d, 0xe6, 0x76, 0xbd, 0xea, 0xe6, 0xae, 0x48, 0xc3, 0x67, 0xc0, 0x57, 0xcd, 0x2f}} , + {{0x7f, 0xc1, 0xdc, 0xb9, 0xc7, 0xbc, 0x86, 0x3d, 0x55, 0x4b, 0x28, 0x7a, 0xfb, 0x4d, 0xc7, 0xf8, 0xbc, 0x67, 0x2a, 0x60, 0x4d, 0x8f, 0x07, 0x0b, 0x1a, 0x17, 0xbf, 0xfa, 0xac, 0xa7, 0x3d, 0x1a}}}, +{{{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}}}, +{{{0x91, 0x3f, 0xed, 0x5e, 0x18, 0x78, 0x3f, 0x23, 0x2c, 0x0d, 0x8c, 0x44, 0x00, 0xe8, 0xfb, 0xe9, 0x8e, 0xd6, 0xd1, 0x36, 0x58, 0x57, 0x9e, 0xae, 0x4b, 0x5c, 0x0b, 0x07, 0xbc, 0x6b, 0x55, 0x2b}} , + {{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}}}, +{{{0x1a, 0x6f, 0x40, 0xaf, 0x44, 0x44, 0xb0, 0x43, 0x8f, 0x0d, 0xd0, 0x1e, 0xc4, 0x0b, 0x19, 0x5d, 0x8e, 0xfe, 0xc1, 0xf3, 0xc5, 0x5c, 0x91, 0xf8, 0x04, 0x4e, 0xbe, 0x90, 0xb4, 0x47, 0x5c, 0x3f}} , + {{0xb0, 0x3b, 0x2c, 0xf3, 0xfe, 0x32, 0x71, 0x07, 0x3f, 0xaa, 0xba, 0x45, 0x60, 0xa8, 0x8d, 0xea, 0x54, 0xcb, 0x39, 0x10, 0xb4, 0xf2, 0x8b, 0xd2, 0x14, 0x82, 0x42, 0x07, 0x8e, 0xe9, 0x7c, 0x53}}}, +{{{0xb0, 0xae, 0xc1, 0x8d, 0xc9, 0x8f, 0xb9, 0x7a, 0x77, 0xef, 0xba, 0x79, 0xa0, 0x3c, 0xa8, 0xf5, 0x6a, 0xe2, 0x3f, 0x5d, 0x00, 0xe3, 0x4b, 0x45, 0x24, 0x7b, 0x43, 0x78, 0x55, 0x1d, 0x2b, 0x1e}} , + {{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}}}, +{{{0x5d, 0xf8, 0xb4, 0xa8, 0x30, 0xdd, 0xcc, 0x38, 0xa5, 0xd3, 0xca, 0xd8, 0xd1, 0xf8, 0xb2, 0x31, 0x91, 0xd4, 0x72, 0x05, 0x57, 0x4a, 0x3b, 0x82, 0x4a, 0xc6, 0x68, 0x20, 0xe2, 0x18, 0x41, 0x61}} , + {{0x19, 0xd4, 0x8d, 0x47, 0x29, 0x12, 0x65, 0xb0, 0x11, 0x78, 0x47, 0xb5, 0xcb, 0xa3, 0xa5, 0xfa, 0x05, 0x85, 0x54, 0xa9, 0x33, 0x97, 0x8d, 0x2b, 0xc2, 0xfe, 0x99, 0x35, 0x28, 0xe5, 0xeb, 0x63}}}, +{{{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}}}, +{{{0xb1, 0x3f, 0x3f, 0xef, 0xd8, 0xf4, 0xfc, 0xb3, 0xa0, 0x60, 0x50, 0x06, 0x2b, 0x29, 0x52, 0x70, 0x15, 0x0b, 0x24, 0x24, 0xf8, 0x5f, 0x79, 0x18, 0xcc, 0xff, 0x89, 0x99, 0x84, 0xa1, 0xae, 0x13}} , + {{0x44, 0x1f, 0xb8, 0xc2, 0x01, 0xc1, 0x30, 0x19, 0x55, 0x05, 0x60, 0x10, 0xa4, 0x6c, 0x2d, 0x67, 0x70, 0xe5, 0x25, 0x1b, 0xf2, 0xbf, 0xdd, 0xfb, 0x70, 0x2b, 0xa1, 0x8c, 0x9c, 0x94, 0x84, 0x08}}}, +{{{0xe7, 0xc4, 0x43, 0x4d, 0xc9, 0x2b, 0x69, 0x5d, 0x1d, 0x3c, 0xaf, 0xbb, 0x43, 0x38, 0x4e, 0x98, 0x3d, 0xed, 0x0d, 0x21, 0x03, 0xfd, 0xf0, 0x99, 0x47, 0x04, 0xb0, 0x98, 0x69, 0x55, 0x72, 0x0f}} , + {{0x5e, 0xdf, 0x15, 0x53, 0x3b, 0x86, 0x80, 0xb0, 0xf1, 0x70, 0x68, 0x8f, 0x66, 0x7c, 0x0e, 0x49, 0x1a, 0xd8, 0x6b, 0xfe, 0x4e, 0xef, 0xca, 0x47, 0xd4, 0x03, 0xc1, 0x37, 0x50, 0x9c, 0xc1, 0x16}}}, +{{{0xcd, 0x24, 0xc6, 0x3e, 0x0c, 0x82, 0x9b, 0x91, 0x2b, 0x61, 0x4a, 0xb2, 0x0f, 0x88, 0x55, 0x5f, 0x5a, 0x57, 0xff, 0xe5, 0x74, 0x0b, 0x13, 0x43, 0x00, 0xd8, 0x6b, 0xcf, 0xd2, 0x15, 0x03, 0x2c}} , + {{0xdc, 0xff, 0x15, 0x61, 0x2f, 0x4a, 0x2f, 0x62, 0xf2, 0x04, 0x2f, 0xb5, 0x0c, 0xb7, 0x1e, 0x3f, 0x74, 0x1a, 0x0f, 0xd7, 0xea, 0xcd, 0xd9, 0x7d, 0xf6, 0x12, 0x0e, 0x2f, 0xdb, 0x5a, 0x3b, 0x16}}}, +{{{0x1b, 0x37, 0x47, 0xe3, 0xf5, 0x9e, 0xea, 0x2c, 0x2a, 0xe7, 0x82, 0x36, 0xf4, 0x1f, 0x81, 0x47, 0x92, 0x4b, 0x69, 0x0e, 0x11, 0x8c, 0x5d, 0x53, 0x5b, 0x81, 0x27, 0x08, 0xbc, 0xa0, 0xae, 0x25}} , + {{0x69, 0x32, 0xa1, 0x05, 0x11, 0x42, 0x00, 0xd2, 0x59, 0xac, 0x4d, 0x62, 0x8b, 0x13, 0xe2, 0x50, 0x5d, 0xa0, 0x9d, 0x9b, 0xfd, 0xbb, 0x12, 0x41, 0x75, 0x41, 0x9e, 0xcc, 0xdc, 0xc7, 0xdc, 0x5d}}}, +{{{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}}}, +{{{0xd9, 0xe3, 0x38, 0x06, 0x46, 0x70, 0x82, 0x5e, 0x28, 0x49, 0x79, 0xff, 0x25, 0xd2, 0x4e, 0x29, 0x8d, 0x06, 0xb0, 0x23, 0xae, 0x9b, 0x66, 0xe4, 0x7d, 0xc0, 0x70, 0x91, 0xa3, 0xfc, 0xec, 0x4e}} , + {{0x62, 0x12, 0x37, 0x6a, 0x30, 0xf6, 0x1e, 0xfb, 0x14, 0x5c, 0x0d, 0x0e, 0xb7, 0x81, 0x6a, 0xe7, 0x08, 0x05, 0xac, 0xaa, 0x38, 0x46, 0xe2, 0x73, 0xea, 0x4b, 0x07, 0x81, 0x43, 0x7c, 0x9e, 0x5e}}}, +{{{0xfc, 0xf9, 0x21, 0x4f, 0x2e, 0x76, 0x9b, 0x1f, 0x28, 0x60, 0x77, 0x43, 0x32, 0x9d, 0xbe, 0x17, 0x30, 0x2a, 0xc6, 0x18, 0x92, 0x66, 0x62, 0x30, 0x98, 0x40, 0x11, 0xa6, 0x7f, 0x18, 0x84, 0x28}} , + {{0x3f, 0xab, 0xd3, 0xf4, 0x8a, 0x76, 0xa1, 0x3c, 0xca, 0x2d, 0x49, 0xc3, 0xea, 0x08, 0x0b, 0x85, 0x17, 0x2a, 0xc3, 0x6c, 0x08, 0xfd, 0x57, 0x9f, 0x3d, 0x5f, 0xdf, 0x67, 0x68, 0x42, 0x00, 0x32}}}, +{{{0x51, 0x60, 0x1b, 0x06, 0x4f, 0x8a, 0x21, 0xba, 0x38, 0xa8, 0xba, 0xd6, 0x40, 0xf6, 0xe9, 0x9b, 0x76, 0x4d, 0x56, 0x21, 0x5b, 0x0a, 0x9b, 0x2e, 0x4f, 0x3d, 0x81, 0x32, 0x08, 0x9f, 0x97, 0x5b}} , + {{0xe5, 0x44, 0xec, 0x06, 0x9d, 0x90, 0x79, 0x9f, 0xd3, 0xe0, 0x79, 0xaf, 0x8f, 0x10, 0xfd, 0xdd, 0x04, 0xae, 0x27, 0x97, 0x46, 0x33, 0x79, 0xea, 0xb8, 0x4e, 0xca, 0x5a, 0x59, 0x57, 0xe1, 0x0e}}}, +{{{0x1a, 0xda, 0xf3, 0xa5, 0x41, 0x43, 0x28, 0xfc, 0x7e, 0xe7, 0x71, 0xea, 0xc6, 0x3b, 0x59, 0xcc, 0x2e, 0xd3, 0x40, 0xec, 0xb3, 0x13, 0x6f, 0x44, 0xcd, 0x13, 0xb2, 0x37, 0xf2, 0x6e, 0xd9, 0x1c}} , + {{0xe3, 0xdb, 0x60, 0xcd, 0x5c, 0x4a, 0x18, 0x0f, 0xef, 0x73, 0x36, 0x71, 0x8c, 0xf6, 0x11, 0xb4, 0xd8, 0xce, 0x17, 0x5e, 0x4f, 0x26, 0x77, 0x97, 0x5f, 0xcb, 0xef, 0x91, 0xeb, 0x6a, 0x62, 0x7a}}}, +{{{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}}}, +{{{0x18, 0x4a, 0xa2, 0x97, 0x08, 0x81, 0x2d, 0x83, 0xc4, 0xcc, 0xf0, 0x83, 0x7e, 0xec, 0x0d, 0x95, 0x4c, 0x5b, 0xfb, 0xfa, 0x98, 0x80, 0x4a, 0x66, 0x56, 0x0c, 0x51, 0xb3, 0xf2, 0x04, 0x5d, 0x27}} , + {{0x3b, 0xb9, 0xb8, 0x06, 0x5a, 0x2e, 0xfe, 0xc3, 0x82, 0x37, 0x9c, 0xa3, 0x11, 0x1f, 0x9c, 0xa6, 0xda, 0x63, 0x48, 0x9b, 0xad, 0xde, 0x2d, 0xa6, 0xbc, 0x6e, 0x32, 0xda, 0x27, 0x65, 0xdd, 0x57}}}, +{{{0x84, 0x4f, 0x37, 0x31, 0x7d, 0x2e, 0xbc, 0xad, 0x87, 0x07, 0x2a, 0x6b, 0x37, 0xfc, 0x5f, 0xeb, 0x4e, 0x75, 0x35, 0xa6, 0xde, 0xab, 0x0a, 0x19, 0x3a, 0xb7, 0xb1, 0xef, 0x92, 0x6a, 0x3b, 0x3c}} , + {{0x3b, 0xb2, 0x94, 0x6d, 0x39, 0x60, 0xac, 0xee, 0xe7, 0x81, 0x1a, 0x3b, 0x76, 0x87, 0x5c, 0x05, 0x94, 0x2a, 0x45, 0xb9, 0x80, 0xe9, 0x22, 0xb1, 0x07, 0xcb, 0x40, 0x9e, 0x70, 0x49, 0x6d, 0x12}}}, +{{{0xfd, 0x18, 0x78, 0x84, 0xa8, 0x4c, 0x7d, 0x6e, 0x59, 0xa6, 0xe5, 0x74, 0xf1, 0x19, 0xa6, 0x84, 0x2e, 0x51, 0xc1, 0x29, 0x13, 0xf2, 0x14, 0x6b, 0x5d, 0x53, 0x51, 0xf7, 0xef, 0xbf, 0x01, 0x22}} , + {{0xa4, 0x4b, 0x62, 0x4c, 0xe6, 0xfd, 0x72, 0x07, 0xf2, 0x81, 0xfc, 0xf2, 0xbd, 0x12, 0x7c, 0x68, 0x76, 0x2a, 0xba, 0xf5, 0x65, 0xb1, 0x1f, 0x17, 0x0a, 0x38, 0xb0, 0xbf, 0xc0, 0xf8, 0xf4, 0x2a}}}, +{{{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}}}, +{{{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}}}, +{{{0x46, 0xca, 0xa7, 0x55, 0x7b, 0x79, 0xf3, 0xca, 0x5a, 0x65, 0xf6, 0xed, 0x50, 0x14, 0x7b, 0xe4, 0xc4, 0x2a, 0x65, 0x9e, 0xe2, 0xf9, 0xca, 0xa7, 0x22, 0x26, 0x53, 0xcb, 0x21, 0x5b, 0xa7, 0x31}} , + {{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}}}, +{{{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}}}, +{{{0xa0, 0x68, 0xe8, 0x41, 0x8f, 0x91, 0xf8, 0x11, 0x13, 0x90, 0x2e, 0xa7, 0xab, 0x30, 0xef, 0xad, 0xa0, 0x61, 0x00, 0x88, 0xef, 0xdb, 0xce, 0x5b, 0x5c, 0xbb, 0x62, 0xc8, 0x56, 0xf9, 0x00, 0x73}} , + {{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}}}, +{{{0x33, 0x89, 0xc9, 0x63, 0x62, 0x1c, 0x17, 0xb4, 0x60, 0xc4, 0x26, 0x68, 0x09, 0xc3, 0x2e, 0x37, 0x0f, 0x7b, 0xb4, 0x9c, 0xb6, 0xf9, 0xfb, 0xd4, 0x51, 0x78, 0xc8, 0x63, 0xea, 0x77, 0x47, 0x07}} , + {{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}}}, +{{{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}}}, +{{{0x13, 0xc5, 0x2c, 0xac, 0xd3, 0x83, 0x82, 0x7c, 0x29, 0xf7, 0x05, 0xa5, 0x00, 0xb6, 0x1f, 0x86, 0x55, 0xf4, 0xd6, 0x2f, 0x0c, 0x99, 0xd0, 0x65, 0x9b, 0x6b, 0x46, 0x0d, 0x43, 0xf8, 0x16, 0x28}} , + {{0x1e, 0x7f, 0xb4, 0x74, 0x7e, 0xb1, 0x89, 0x4f, 0x18, 0x5a, 0xab, 0x64, 0x06, 0xdf, 0x45, 0x87, 0xe0, 0x6a, 0xc6, 0xf0, 0x0e, 0xc9, 0x24, 0x35, 0x38, 0xea, 0x30, 0x54, 0xb4, 0xc4, 0x52, 0x54}}}, +{{{0xe9, 0x9f, 0xdc, 0x3f, 0xc1, 0x89, 0x44, 0x74, 0x27, 0xe4, 0xc1, 0x90, 0xff, 0x4a, 0xa7, 0x3c, 0xee, 0xcd, 0xf4, 0x1d, 0x25, 0x94, 0x7f, 0x63, 0x16, 0x48, 0xbc, 0x64, 0xfe, 0x95, 0xc4, 0x0c}} , + {{0x8b, 0x19, 0x75, 0x6e, 0x03, 0x06, 0x5e, 0x6a, 0x6f, 0x1a, 0x8c, 0xe3, 0xd3, 0x28, 0xf2, 0xe0, 0xb9, 0x7a, 0x43, 0x69, 0xe6, 0xd3, 0xc0, 0xfe, 0x7e, 0x97, 0xab, 0x6c, 0x7b, 0x8e, 0x13, 0x42}}}, +{{{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}}}, +{{{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}}}, +{{{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}}}, +{{{0x39, 0x61, 0x05, 0xed, 0x25, 0x89, 0x8b, 0x5d, 0x1b, 0xcb, 0x0c, 0x55, 0xf4, 0x6a, 0x00, 0x8a, 0x46, 0xe8, 0x1e, 0xc6, 0x83, 0xc8, 0x5a, 0x76, 0xdb, 0xcc, 0x19, 0x7a, 0xcc, 0x67, 0x46, 0x0b}} , + {{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}}}, +{{{0x22, 0x8c, 0x6b, 0xbe, 0xfc, 0x4d, 0x70, 0x62, 0x6e, 0x52, 0x77, 0x99, 0x88, 0x7e, 0x7b, 0x57, 0x7a, 0x0d, 0xfe, 0xdc, 0x72, 0x92, 0xf1, 0x68, 0x1d, 0x97, 0xd7, 0x7c, 0x8d, 0x53, 0x10, 0x37}} , + {{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}}}, +{{{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}}}, +{{{0x8a, 0x64, 0x1e, 0x14, 0x0a, 0x57, 0xd4, 0xda, 0x5c, 0x96, 0x9b, 0x01, 0x4c, 0x67, 0xbf, 0x8b, 0x30, 0xfe, 0x08, 0xdb, 0x0d, 0xd5, 0xa8, 0xd7, 0x09, 0x11, 0x85, 0xa2, 0xd3, 0x45, 0xfb, 0x7e}} , + {{0xda, 0x8c, 0xc2, 0xd0, 0xac, 0x18, 0xe8, 0x52, 0x36, 0xd4, 0x21, 0xa3, 0xdd, 0x57, 0x22, 0x79, 0xb7, 0xf8, 0x71, 0x9d, 0xc6, 0x91, 0x70, 0x86, 0x56, 0xbf, 0xa1, 0x11, 0x8b, 0x19, 0xe1, 0x0f}}}, +{{{0x18, 0x32, 0x98, 0x2c, 0x8f, 0x91, 0xae, 0x12, 0xf0, 0x8c, 0xea, 0xf3, 0x3c, 0xb9, 0x5d, 0xe4, 0x69, 0xed, 0xb2, 0x47, 0x18, 0xbd, 0xce, 0x16, 0x52, 0x5c, 0x23, 0xe2, 0xa5, 0x25, 0x52, 0x5d}} , + {{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}}}, +{{{0x60, 0x57, 0x2e, 0x9a, 0x72, 0x1d, 0x6b, 0x6e, 0x58, 0x33, 0x24, 0x8c, 0x48, 0x39, 0x46, 0x8e, 0x89, 0x6a, 0x88, 0x51, 0x23, 0x62, 0xb5, 0x32, 0x09, 0x36, 0xe3, 0x57, 0xf5, 0x98, 0xde, 0x6f}} , + {{0x8b, 0x2c, 0x00, 0x48, 0x4a, 0xf9, 0x5b, 0x87, 0x69, 0x52, 0xe5, 0x5b, 0xd1, 0xb1, 0xe5, 0x25, 0x25, 0xe0, 0x9c, 0xc2, 0x13, 0x44, 0xe8, 0xb9, 0x0a, 0x70, 0xad, 0xbd, 0x0f, 0x51, 0x94, 0x69}}}, +{{{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}}}, +{{{0xa2, 0xdc, 0xab, 0xa9, 0x25, 0x2d, 0xac, 0x5f, 0x03, 0x33, 0x08, 0xe7, 0x7e, 0xfe, 0x95, 0x36, 0x3c, 0x5b, 0x3a, 0xd3, 0x05, 0x82, 0x1c, 0x95, 0x2d, 0xd8, 0x77, 0x7e, 0x02, 0xd9, 0x5b, 0x70}} , + {{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}}}, +{{{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}}}, +{{{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}}}, +{{{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}}}, +{{{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}}}, +{{{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}}}, +{{{0x5e, 0xa8, 0xd8, 0x04, 0x9b, 0x73, 0xc9, 0xc9, 0xdc, 0x0d, 0x73, 0xbf, 0x0a, 0x0a, 0x73, 0xff, 0x18, 0x1f, 0x9c, 0x51, 0xaa, 0xc6, 0xf1, 0x83, 0x25, 0xfd, 0xab, 0xa3, 0x11, 0xd3, 0x01, 0x24}} , + {{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}}}, +{{{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}}}, +{{{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}}}, +{{{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}}}, +{{{0x23, 0x15, 0x17, 0xeb, 0xd3, 0xdb, 0x12, 0x5e, 0x01, 0xf0, 0x91, 0xab, 0x2c, 0x41, 0xce, 0xac, 0xed, 0x1b, 0x4b, 0x2d, 0xbc, 0xdb, 0x17, 0x66, 0x89, 0x46, 0xad, 0x4b, 0x1e, 0x6f, 0x0b, 0x14}} , + {{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}}}, +{{{0x28, 0xc1, 0xe1, 0x54, 0x73, 0xf2, 0xbf, 0x76, 0x74, 0x19, 0x19, 0x1b, 0xe4, 0xb9, 0xa8, 0x46, 0x65, 0x73, 0xf3, 0x77, 0x9b, 0x29, 0x74, 0x5b, 0xc6, 0x89, 0x6c, 0x2c, 0x7c, 0xf8, 0xb3, 0x0f}} , + {{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}}}, +{{{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}}}, +{{{0x61, 0xb1, 0x46, 0xba, 0x0e, 0x31, 0xa5, 0x67, 0x6c, 0x7f, 0xd6, 0xd9, 0x27, 0x85, 0x0f, 0x79, 0x14, 0xc8, 0x6c, 0x2f, 0x5f, 0x5b, 0x9c, 0x35, 0x3d, 0x38, 0x86, 0x77, 0x65, 0x55, 0x6a, 0x7b}} , + {{0xd3, 0xb0, 0x3a, 0x66, 0x60, 0x1b, 0x43, 0xf1, 0x26, 0x58, 0x99, 0x09, 0x8f, 0x2d, 0xa3, 0x14, 0x71, 0x85, 0xdb, 0xed, 0xf6, 0x26, 0xd5, 0x61, 0x9a, 0x73, 0xac, 0x0e, 0xea, 0xac, 0xb7, 0x0c}}}, +{{{0x5e, 0xf4, 0xe5, 0x17, 0x0e, 0x10, 0x9f, 0xe7, 0x43, 0x5f, 0x67, 0x5c, 0xac, 0x4b, 0xe5, 0x14, 0x41, 0xd2, 0xbf, 0x48, 0xf5, 0x14, 0xb0, 0x71, 0xc6, 0x61, 0xc1, 0xb2, 0x70, 0x58, 0xd2, 0x5a}} , + {{0x2d, 0xba, 0x16, 0x07, 0x92, 0x94, 0xdc, 0xbd, 0x50, 0x2b, 0xc9, 0x7f, 0x42, 0x00, 0xba, 0x61, 0xed, 0xf8, 0x43, 0xed, 0xf5, 0xf9, 0x40, 0x60, 0xb2, 0xb0, 0x82, 0xcb, 0xed, 0x75, 0xc7, 0x65}}}, +{{{0x80, 0xba, 0x0d, 0x09, 0x40, 0xa7, 0x39, 0xa6, 0x67, 0x34, 0x7e, 0x66, 0xbe, 0x56, 0xfb, 0x53, 0x78, 0xc4, 0x46, 0xe8, 0xed, 0x68, 0x6c, 0x7f, 0xce, 0xe8, 0x9f, 0xce, 0xa2, 0x64, 0x58, 0x53}} , + {{0xe8, 0xc1, 0xa9, 0xc2, 0x7b, 0x59, 0x21, 0x33, 0xe2, 0x43, 0x73, 0x2b, 0xac, 0x2d, 0xc1, 0x89, 0x3b, 0x15, 0xe2, 0xd5, 0xc0, 0x97, 0x8a, 0xfd, 0x6f, 0x36, 0x33, 0xb7, 0xb9, 0xc3, 0x88, 0x09}}}, +{{{0xd0, 0xb6, 0x56, 0x30, 0x5c, 0xae, 0xb3, 0x75, 0x44, 0xa4, 0x83, 0x51, 0x6e, 0x01, 0x65, 0xef, 0x45, 0x76, 0xe6, 0xf5, 0xa2, 0x0d, 0xd4, 0x16, 0x3b, 0x58, 0x2f, 0xf2, 0x2f, 0x36, 0x18, 0x3f}} , + {{0xfd, 0x2f, 0xe0, 0x9b, 0x1e, 0x8c, 0xc5, 0x18, 0xa9, 0xca, 0xd4, 0x2b, 0x35, 0xb6, 0x95, 0x0a, 0x9f, 0x7e, 0xfb, 0xc4, 0xef, 0x88, 0x7b, 0x23, 0x43, 0xec, 0x2f, 0x0d, 0x0f, 0x7a, 0xfc, 0x5c}}}, +{{{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}}}, +{{{0x8d, 0xd2, 0xda, 0xc7, 0x44, 0xd6, 0x7a, 0xdb, 0x26, 0x7d, 0x1d, 0xb8, 0xe1, 0xde, 0x9d, 0x7a, 0x7d, 0x17, 0x7e, 0x1c, 0x37, 0x04, 0x8d, 0x2d, 0x7c, 0x5e, 0x18, 0x38, 0x1e, 0xaf, 0xc7, 0x1b}} , + {{0x33, 0x48, 0x31, 0x00, 0x59, 0xf6, 0xf2, 0xca, 0x0f, 0x27, 0x1b, 0x63, 0x12, 0x7e, 0x02, 0x1d, 0x49, 0xc0, 0x5d, 0x79, 0x87, 0xef, 0x5e, 0x7a, 0x2f, 0x1f, 0x66, 0x55, 0xd8, 0x09, 0xd9, 0x61}}}, +{{{0x54, 0x83, 0x02, 0x18, 0x82, 0x93, 0x99, 0x07, 0xd0, 0xa7, 0xda, 0xd8, 0x75, 0x89, 0xfa, 0xf2, 0xd9, 0xa3, 0xb8, 0x6b, 0x5a, 0x35, 0x28, 0xd2, 0x6b, 0x59, 0xc2, 0xf8, 0x45, 0xe2, 0xbc, 0x06}} , + {{0x65, 0xc0, 0xa3, 0x88, 0x51, 0x95, 0xfc, 0x96, 0x94, 0x78, 0xe8, 0x0d, 0x8b, 0x41, 0xc9, 0xc2, 0x58, 0x48, 0x75, 0x10, 0x2f, 0xcd, 0x2a, 0xc9, 0xa0, 0x6d, 0x0f, 0xdd, 0x9c, 0x98, 0x26, 0x3d}}}, +{{{0x2f, 0x66, 0x29, 0x1b, 0x04, 0x89, 0xbd, 0x7e, 0xee, 0x6e, 0xdd, 0xb7, 0x0e, 0xef, 0xb0, 0x0c, 0xb4, 0xfc, 0x7f, 0xc2, 0xc9, 0x3a, 0x3c, 0x64, 0xef, 0x45, 0x44, 0xaf, 0x8a, 0x90, 0x65, 0x76}} , + {{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}}}, +{{{0xf7, 0xd4, 0x16, 0x6c, 0x4e, 0x95, 0x9d, 0x5d, 0x0f, 0x91, 0x2b, 0x52, 0xfe, 0x5c, 0x34, 0xe5, 0x30, 0xe6, 0xa4, 0x3b, 0xf3, 0xf3, 0x34, 0x08, 0xa9, 0x4a, 0xa0, 0xb5, 0x6e, 0xb3, 0x09, 0x0a}} , + {{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}}}, +{{{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}}}, +{{{0xdb, 0x9f, 0x2c, 0xfc, 0xd6, 0xb2, 0x1e, 0x2e, 0x52, 0x7a, 0x06, 0x87, 0x2d, 0x86, 0x72, 0x2b, 0x6d, 0x90, 0x77, 0x46, 0x43, 0xb5, 0x7a, 0xf8, 0x60, 0x7d, 0x91, 0x60, 0x5b, 0x9d, 0x9e, 0x07}} , + {{0x97, 0x87, 0xc7, 0x04, 0x1c, 0x38, 0x01, 0x39, 0x58, 0xc7, 0x85, 0xa3, 0xfc, 0x64, 0x00, 0x64, 0x25, 0xa2, 0xbf, 0x50, 0x94, 0xca, 0x26, 0x31, 0x45, 0x0a, 0x24, 0xd2, 0x51, 0x29, 0x51, 0x16}}}, +{{{0x4d, 0x4a, 0xd7, 0x98, 0x71, 0x57, 0xac, 0x7d, 0x8b, 0x37, 0xbd, 0x63, 0xff, 0x87, 0xb1, 0x49, 0x95, 0x20, 0x7c, 0xcf, 0x7c, 0x59, 0xc4, 0x91, 0x9c, 0xef, 0xd0, 0xdb, 0x60, 0x09, 0x9d, 0x46}} , + {{0xcb, 0x78, 0x94, 0x90, 0xe4, 0x45, 0xb3, 0xf6, 0xd9, 0xf6, 0x57, 0x74, 0xd5, 0xf8, 0x83, 0x4f, 0x39, 0xc9, 0xbd, 0x88, 0xc2, 0x57, 0x21, 0x1f, 0x24, 0x32, 0x68, 0xf8, 0xc7, 0x21, 0x5f, 0x0b}}}, +{{{0x2a, 0x36, 0x68, 0xfc, 0x5f, 0xb6, 0x4f, 0xa5, 0xe3, 0x9d, 0x24, 0x2f, 0xc0, 0x93, 0x61, 0xcf, 0xf8, 0x0a, 0xed, 0xe1, 0xdb, 0x27, 0xec, 0x0e, 0x14, 0x32, 0x5f, 0x8e, 0xa1, 0x62, 0x41, 0x16}} , + {{0x95, 0x21, 0x01, 0xce, 0x95, 0x5b, 0x0e, 0x57, 0xc7, 0xb9, 0x62, 0xb5, 0x28, 0xca, 0x11, 0xec, 0xb4, 0x46, 0x06, 0x73, 0x26, 0xff, 0xfb, 0x66, 0x7d, 0xee, 0x5f, 0xb2, 0x56, 0xfd, 0x2a, 0x08}}}, +{{{0x92, 0x67, 0x77, 0x56, 0xa1, 0xff, 0xc4, 0xc5, 0x95, 0xf0, 0xe3, 0x3a, 0x0a, 0xca, 0x94, 0x4d, 0x9e, 0x7e, 0x3d, 0xb9, 0x6e, 0xb6, 0xb0, 0xce, 0xa4, 0x30, 0x89, 0x99, 0xe9, 0xad, 0x11, 0x59}} , + {{0xf6, 0x48, 0x95, 0xa1, 0x6f, 0x5f, 0xb7, 0xa5, 0xbb, 0x30, 0x00, 0x1c, 0xd2, 0x8a, 0xd6, 0x25, 0x26, 0x1b, 0xb2, 0x0d, 0x37, 0x6a, 0x05, 0xf4, 0x9d, 0x3e, 0x17, 0x2a, 0x43, 0xd2, 0x3a, 0x06}}}, +{{{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}}}, +{{{0x32, 0x99, 0x93, 0xd1, 0x9a, 0x72, 0xf3, 0xa9, 0x16, 0xbd, 0xb4, 0x4c, 0xdd, 0xf9, 0xd4, 0xb2, 0x64, 0x9a, 0xd3, 0x05, 0xe4, 0xa3, 0x73, 0x1c, 0xcb, 0x7e, 0x57, 0x67, 0xff, 0x04, 0xb3, 0x10}} , + {{0xb9, 0x4b, 0xa4, 0xad, 0xd0, 0x6d, 0x61, 0x23, 0xb4, 0xaf, 0x34, 0xa9, 0xaa, 0x65, 0xec, 0xd9, 0x69, 0xe3, 0x85, 0xcd, 0xcc, 0xe7, 0xb0, 0x9b, 0x41, 0xc1, 0x1c, 0xf9, 0xa0, 0xfa, 0xb7, 0x13}}}, +{{{0x04, 0xfd, 0x88, 0x3c, 0x0c, 0xd0, 0x09, 0x52, 0x51, 0x4f, 0x06, 0x19, 0xcc, 0xc3, 0xbb, 0xde, 0x80, 0xc5, 0x33, 0xbc, 0xf9, 0xf3, 0x17, 0x36, 0xdd, 0xc6, 0xde, 0xe8, 0x9b, 0x5d, 0x79, 0x1b}} , + {{0x65, 0x0a, 0xbe, 0x51, 0x57, 0xad, 0x50, 0x79, 0x08, 0x71, 0x9b, 0x07, 0x95, 0x8f, 0xfb, 0xae, 0x4b, 0x38, 0xba, 0xcf, 0x53, 0x2a, 0x86, 0x1e, 0xc0, 0x50, 0x5c, 0x67, 0x1b, 0xf6, 0x87, 0x6c}}}, +{{{0x4f, 0x00, 0xb2, 0x66, 0x55, 0xed, 0x4a, 0xed, 0x8d, 0xe1, 0x66, 0x18, 0xb2, 0x14, 0x74, 0x8d, 0xfd, 0x1a, 0x36, 0x0f, 0x26, 0x5c, 0x8b, 0x89, 0xf3, 0xab, 0xf2, 0xf3, 0x24, 0x67, 0xfd, 0x70}} , + {{0xfd, 0x4e, 0x2a, 0xc1, 0x3a, 0xca, 0x8f, 0x00, 0xd8, 0xec, 0x74, 0x67, 0xef, 0x61, 0xe0, 0x28, 0xd0, 0x96, 0xf4, 0x48, 0xde, 0x81, 0xe3, 0xef, 0xdc, 0xaa, 0x7d, 0xf3, 0xb6, 0x55, 0xa6, 0x65}}}, +{{{0xeb, 0xcb, 0xc5, 0x70, 0x91, 0x31, 0x10, 0x93, 0x0d, 0xc8, 0xd0, 0xef, 0x62, 0xe8, 0x6f, 0x82, 0xe3, 0x69, 0x3d, 0x91, 0x7f, 0x31, 0xe1, 0x26, 0x35, 0x3c, 0x4a, 0x2f, 0xab, 0xc4, 0x9a, 0x5e}} , + {{0xab, 0x1b, 0xb5, 0xe5, 0x2b, 0xc3, 0x0e, 0x29, 0xb0, 0xd0, 0x73, 0xe6, 0x4f, 0x64, 0xf2, 0xbc, 0xe4, 0xe4, 0xe1, 0x9a, 0x52, 0x33, 0x2f, 0xbd, 0xcc, 0x03, 0xee, 0x8a, 0xfa, 0x00, 0x5f, 0x50}}}, +{{{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}}}, +{{{0xf6, 0xdb, 0x0d, 0x22, 0x3d, 0xb5, 0x14, 0x75, 0x31, 0xf0, 0x81, 0xe2, 0xb9, 0x37, 0xa2, 0xa9, 0x84, 0x11, 0x9a, 0x07, 0xb5, 0x53, 0x89, 0x78, 0xa9, 0x30, 0x27, 0xa1, 0xf1, 0x4e, 0x5c, 0x2e}} , + {{0x8b, 0x00, 0x54, 0xfb, 0x4d, 0xdc, 0xcb, 0x17, 0x35, 0x40, 0xff, 0xb7, 0x8c, 0xfe, 0x4a, 0xe4, 0x4e, 0x99, 0x4e, 0xa8, 0x74, 0x54, 0x5d, 0x5c, 0x96, 0xa3, 0x12, 0x55, 0x36, 0x31, 0x17, 0x5c}}}, +{{{0xce, 0x24, 0xef, 0x7b, 0x86, 0xf2, 0x0f, 0x77, 0xe8, 0x5c, 0x7d, 0x87, 0x38, 0x2d, 0xef, 0xaf, 0xf2, 0x8c, 0x72, 0x2e, 0xeb, 0xb6, 0x55, 0x4b, 0x6e, 0xf1, 0x4e, 0x8a, 0x0e, 0x9a, 0x6c, 0x4c}} , + {{0x25, 0xea, 0x86, 0xc2, 0xd1, 0x4f, 0xb7, 0x3e, 0xa8, 0x5c, 0x8d, 0x66, 0x81, 0x25, 0xed, 0xc5, 0x4c, 0x05, 0xb9, 0xd8, 0xd6, 0x70, 0xbe, 0x73, 0x82, 0xe8, 0xa1, 0xe5, 0x1e, 0x71, 0xd5, 0x26}}}, +{{{0x4e, 0x6d, 0xc3, 0xa7, 0x4f, 0x22, 0x45, 0x26, 0xa2, 0x7e, 0x16, 0xf7, 0xf7, 0x63, 0xdc, 0x86, 0x01, 0x2a, 0x71, 0x38, 0x5c, 0x33, 0xc3, 0xce, 0x30, 0xff, 0xf9, 0x2c, 0x91, 0x71, 0x8a, 0x72}} , + {{0x8c, 0x44, 0x09, 0x28, 0xd5, 0x23, 0xc9, 0x8f, 0xf3, 0x84, 0x45, 0xc6, 0x9a, 0x5e, 0xff, 0xd2, 0xc7, 0x57, 0x93, 0xa3, 0xc1, 0x69, 0xdd, 0x62, 0x0f, 0xda, 0x5c, 0x30, 0x59, 0x5d, 0xe9, 0x4c}}}, +{{{0x92, 0x7e, 0x50, 0x27, 0x72, 0xd7, 0x0c, 0xd6, 0x69, 0x96, 0x81, 0x35, 0x84, 0x94, 0x35, 0x8b, 0x6c, 0xaa, 0x62, 0x86, 0x6e, 0x1c, 0x15, 0xf3, 0x6c, 0xb3, 0xff, 0x65, 0x1b, 0xa2, 0x9b, 0x59}} , + {{0xe2, 0xa9, 0x65, 0x88, 0xc4, 0x50, 0xfa, 0xbb, 0x3b, 0x6e, 0x5f, 0x44, 0x01, 0xca, 0x97, 0xd4, 0xdd, 0xf6, 0xcd, 0x3f, 0x3f, 0xe5, 0x97, 0x67, 0x2b, 0x8c, 0x66, 0x0f, 0x35, 0x9b, 0xf5, 0x07}}}, +{{{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}}}, +{{{0xf1, 0x59, 0x27, 0xd8, 0xdb, 0x5a, 0x11, 0x5e, 0x82, 0xf3, 0x38, 0xff, 0x1c, 0xed, 0xfe, 0x3f, 0x64, 0x54, 0x3f, 0x7f, 0xd1, 0x81, 0xed, 0xef, 0x65, 0xc5, 0xcb, 0xfd, 0xe1, 0x80, 0xcd, 0x11}} , + {{0xe0, 0xdb, 0x22, 0x28, 0xe6, 0xff, 0x61, 0x9d, 0x41, 0x14, 0x2d, 0x3b, 0x26, 0x22, 0xdf, 0xf1, 0x34, 0x81, 0xe9, 0x45, 0xee, 0x0f, 0x98, 0x8b, 0xa6, 0x3f, 0xef, 0xf7, 0x43, 0x19, 0xf1, 0x43}}}, +{{{0xee, 0xf3, 0x00, 0xa1, 0x50, 0xde, 0xc0, 0xb6, 0x01, 0xe3, 0x8c, 0x3c, 0x4d, 0x31, 0xd2, 0xb0, 0x58, 0xcd, 0xed, 0x10, 0x4a, 0x7a, 0xef, 0x80, 0xa9, 0x19, 0x32, 0xf3, 0xd8, 0x33, 0x8c, 0x06}} , + {{0xcb, 0x7d, 0x4f, 0xff, 0x30, 0xd8, 0x12, 0x3b, 0x39, 0x1c, 0x06, 0xf9, 0x4c, 0x34, 0x35, 0x71, 0xb5, 0x16, 0x94, 0x67, 0xdf, 0xee, 0x11, 0xde, 0xa4, 0x1d, 0x88, 0x93, 0x35, 0xa9, 0x32, 0x10}}}, +{{{0xe9, 0xc3, 0xbc, 0x7b, 0x5c, 0xfc, 0xb2, 0xf9, 0xc9, 0x2f, 0xe5, 0xba, 0x3a, 0x0b, 0xab, 0x64, 0x38, 0x6f, 0x5b, 0x4b, 0x93, 0xda, 0x64, 0xec, 0x4d, 0x3d, 0xa0, 0xf5, 0xbb, 0xba, 0x47, 0x48}} , + {{0x60, 0xbc, 0x45, 0x1f, 0x23, 0xa2, 0x3b, 0x70, 0x76, 0xe6, 0x97, 0x99, 0x4f, 0x77, 0x54, 0x67, 0x30, 0x9a, 0xe7, 0x66, 0xd6, 0xcd, 0x2e, 0x51, 0x24, 0x2c, 0x42, 0x4a, 0x11, 0xfe, 0x6f, 0x7e}}}, +{{{0x87, 0xc0, 0xb1, 0xf0, 0xa3, 0x6f, 0x0c, 0x93, 0xa9, 0x0a, 0x72, 0xef, 0x5c, 0xbe, 0x65, 0x35, 0xa7, 0x6a, 0x4e, 0x2c, 0xbf, 0x21, 0x23, 0xe8, 0x2f, 0x97, 0xc7, 0x3e, 0xc8, 0x17, 0xac, 0x1e}} , + {{0x7b, 0xef, 0x21, 0xe5, 0x40, 0xcc, 0x1e, 0xdc, 0xd6, 0xbd, 0x97, 0x7a, 0x7c, 0x75, 0x86, 0x7a, 0x25, 0x5a, 0x6e, 0x7c, 0xe5, 0x51, 0x3c, 0x1b, 0x5b, 0x82, 0x9a, 0x07, 0x60, 0xa1, 0x19, 0x04}}}, +{{{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}}}, +{{{0x96, 0x88, 0xa6, 0xab, 0x8f, 0xe3, 0x3a, 0x49, 0xf8, 0xfe, 0x34, 0xe7, 0x6a, 0xb2, 0xfe, 0x40, 0x26, 0x74, 0x57, 0x4c, 0xf6, 0xd4, 0x99, 0xce, 0x5d, 0x7b, 0x2f, 0x67, 0xd6, 0x5a, 0xe4, 0x4e}} , + {{0x5c, 0x82, 0xb3, 0xbd, 0x55, 0x25, 0xf6, 0x6a, 0x93, 0xa4, 0x02, 0xc6, 0x7d, 0x5c, 0xb1, 0x2b, 0x5b, 0xff, 0xfb, 0x56, 0xf8, 0x01, 0x41, 0x90, 0xc6, 0xb6, 0xac, 0x4f, 0xfe, 0xa7, 0x41, 0x70}}}, +{{{0xdb, 0xfa, 0x9b, 0x2c, 0xd4, 0x23, 0x67, 0x2c, 0x8a, 0x63, 0x6c, 0x07, 0x26, 0x48, 0x4f, 0xc2, 0x03, 0xd2, 0x53, 0x20, 0x28, 0xed, 0x65, 0x71, 0x47, 0xa9, 0x16, 0x16, 0x12, 0xbc, 0x28, 0x33}} , + {{0x39, 0xc0, 0xfa, 0xfa, 0xcd, 0x33, 0x43, 0xc7, 0x97, 0x76, 0x9b, 0x93, 0x91, 0x72, 0xeb, 0xc5, 0x18, 0x67, 0x4c, 0x11, 0xf0, 0xf4, 0xe5, 0x73, 0xb2, 0x5c, 0x1b, 0xc2, 0x26, 0x3f, 0xbf, 0x2b}}}, +{{{0x86, 0xe6, 0x8c, 0x1d, 0xdf, 0xca, 0xfc, 0xd5, 0xf8, 0x3a, 0xc3, 0x44, 0x72, 0xe6, 0x78, 0x9d, 0x2b, 0x97, 0xf8, 0x28, 0x45, 0xb4, 0x20, 0xc9, 0x2a, 0x8c, 0x67, 0xaa, 0x11, 0xc5, 0x5b, 0x2f}} , + {{0x17, 0x0f, 0x86, 0x52, 0xd7, 0x9d, 0xc3, 0x44, 0x51, 0x76, 0x32, 0x65, 0xb4, 0x37, 0x81, 0x99, 0x46, 0x37, 0x62, 0xed, 0xcf, 0x64, 0x9d, 0x72, 0x40, 0x7a, 0x4c, 0x0b, 0x76, 0x2a, 0xfb, 0x56}}}, +{{{0x33, 0xa7, 0x90, 0x7c, 0xc3, 0x6f, 0x17, 0xa5, 0xa0, 0x67, 0x72, 0x17, 0xea, 0x7e, 0x63, 0x14, 0x83, 0xde, 0xc1, 0x71, 0x2d, 0x41, 0x32, 0x7a, 0xf3, 0xd1, 0x2b, 0xd8, 0x2a, 0xa6, 0x46, 0x36}} , + {{0xac, 0xcc, 0x6b, 0x7c, 0xf9, 0xb8, 0x8b, 0x08, 0x5c, 0xd0, 0x7d, 0x8f, 0x73, 0xea, 0x20, 0xda, 0x86, 0xca, 0x00, 0xc7, 0xad, 0x73, 0x4d, 0xe9, 0xe8, 0xa9, 0xda, 0x1f, 0x03, 0x06, 0xdd, 0x24}}}, +{{{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}}}, +{{{0x9c, 0xb2, 0x61, 0x0a, 0x98, 0x2a, 0xa5, 0xd7, 0xee, 0xa9, 0xac, 0x65, 0xcb, 0x0a, 0x1e, 0xe2, 0xbe, 0xdc, 0x85, 0x59, 0x0f, 0x9c, 0xa6, 0x57, 0x34, 0xa5, 0x87, 0xeb, 0x7b, 0x1e, 0x0c, 0x3c}} , + {{0x2f, 0xbd, 0x84, 0x63, 0x0d, 0xb5, 0xa0, 0xf0, 0x4b, 0x9e, 0x93, 0xc6, 0x34, 0x9a, 0x34, 0xff, 0x73, 0x19, 0x2f, 0x6e, 0x54, 0x45, 0x2c, 0x92, 0x31, 0x76, 0x34, 0xf1, 0xb2, 0x26, 0xe8, 0x74}}}, +{{{0x0a, 0x67, 0x90, 0x6d, 0x0c, 0x4c, 0xcc, 0xc0, 0xe6, 0xbd, 0xa7, 0x5e, 0x55, 0x8c, 0xcd, 0x58, 0x9b, 0x11, 0xa2, 0xbb, 0x4b, 0xb1, 0x43, 0x04, 0x3c, 0x55, 0xed, 0x23, 0xfe, 0xcd, 0xb1, 0x53}} , + {{0x05, 0xfb, 0x75, 0xf5, 0x01, 0xaf, 0x38, 0x72, 0x58, 0xfc, 0x04, 0x29, 0x34, 0x7a, 0x67, 0xa2, 0x08, 0x50, 0x6e, 0xd0, 0x2b, 0x73, 0xd5, 0xb8, 0xe4, 0x30, 0x96, 0xad, 0x45, 0xdf, 0xa6, 0x5c}}}, +{{{0x0d, 0x88, 0x1a, 0x90, 0x7e, 0xdc, 0xd8, 0xfe, 0xc1, 0x2f, 0x5d, 0x67, 0xee, 0x67, 0x2f, 0xed, 0x6f, 0x55, 0x43, 0x5f, 0x87, 0x14, 0x35, 0x42, 0xd3, 0x75, 0xae, 0xd5, 0xd3, 0x85, 0x1a, 0x76}} , + {{0x87, 0xc8, 0xa0, 0x6e, 0xe1, 0xb0, 0xad, 0x6a, 0x4a, 0x34, 0x71, 0xed, 0x7c, 0xd6, 0x44, 0x03, 0x65, 0x4a, 0x5c, 0x5c, 0x04, 0xf5, 0x24, 0x3f, 0xb0, 0x16, 0x5e, 0x8c, 0xb2, 0xd2, 0xc5, 0x20}}}, +{{{0x98, 0x83, 0xc2, 0x37, 0xa0, 0x41, 0xa8, 0x48, 0x5c, 0x5f, 0xbf, 0xc8, 0xfa, 0x24, 0xe0, 0x59, 0x2c, 0xbd, 0xf6, 0x81, 0x7e, 0x88, 0xe6, 0xca, 0x04, 0xd8, 0x5d, 0x60, 0xbb, 0x74, 0xa7, 0x0b}} , + {{0x21, 0x13, 0x91, 0xbf, 0x77, 0x7a, 0x33, 0xbc, 0xe9, 0x07, 0x39, 0x0a, 0xdd, 0x7d, 0x06, 0x10, 0x9a, 0xee, 0x47, 0x73, 0x1b, 0x15, 0x5a, 0xfb, 0xcd, 0x4d, 0xd0, 0xd2, 0x3a, 0x01, 0xba, 0x54}}}, +{{{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}}}, +{{{0x48, 0xd5, 0x39, 0x4a, 0x0b, 0x20, 0x6a, 0x43, 0xa0, 0x07, 0x82, 0x5e, 0x49, 0x7c, 0xc9, 0x47, 0xf1, 0x7c, 0x37, 0xb9, 0x23, 0xef, 0x6b, 0x46, 0x45, 0x8c, 0x45, 0x76, 0xdf, 0x14, 0x6b, 0x6e}} , + {{0x42, 0xc9, 0xca, 0x29, 0x4c, 0x76, 0x37, 0xda, 0x8a, 0x2d, 0x7c, 0x3a, 0x58, 0xf2, 0x03, 0xb4, 0xb5, 0xb9, 0x1a, 0x13, 0x2d, 0xde, 0x5f, 0x6b, 0x9d, 0xba, 0x52, 0xc9, 0x5d, 0xb3, 0xf3, 0x30}}}, +{{{0x4c, 0x6f, 0xfe, 0x6b, 0x0c, 0x62, 0xd7, 0x48, 0x71, 0xef, 0xb1, 0x85, 0x79, 0xc0, 0xed, 0x24, 0xb1, 0x08, 0x93, 0x76, 0x8e, 0xf7, 0x38, 0x8e, 0xeb, 0xfe, 0x80, 0x40, 0xaf, 0x90, 0x64, 0x49}} , + {{0x4a, 0x88, 0xda, 0xc1, 0x98, 0x44, 0x3c, 0x53, 0x4e, 0xdb, 0x4b, 0xb9, 0x12, 0x5f, 0xcd, 0x08, 0x04, 0xef, 0x75, 0xe7, 0xb1, 0x3a, 0xe5, 0x07, 0xfa, 0xca, 0x65, 0x7b, 0x72, 0x10, 0x64, 0x7f}}}, +{{{0x3d, 0x81, 0xf0, 0xeb, 0x16, 0xfd, 0x58, 0x33, 0x8d, 0x7c, 0x1a, 0xfb, 0x20, 0x2c, 0x8a, 0xee, 0x90, 0xbb, 0x33, 0x6d, 0x45, 0xe9, 0x8e, 0x99, 0x85, 0xe1, 0x08, 0x1f, 0xc5, 0xf1, 0xb5, 0x46}} , + {{0xe4, 0xe7, 0x43, 0x4b, 0xa0, 0x3f, 0x2b, 0x06, 0xba, 0x17, 0xae, 0x3d, 0xe6, 0xce, 0xbd, 0xb8, 0xed, 0x74, 0x11, 0x35, 0xec, 0x96, 0xfe, 0x31, 0xe3, 0x0e, 0x7a, 0x4e, 0xc9, 0x1d, 0xcb, 0x20}}}, +{{{0xe0, 0x67, 0xe9, 0x7b, 0xdb, 0x96, 0x5c, 0xb0, 0x32, 0xd0, 0x59, 0x31, 0x90, 0xdc, 0x92, 0x97, 0xac, 0x09, 0x38, 0x31, 0x0f, 0x7e, 0xd6, 0x5d, 0xd0, 0x06, 0xb6, 0x1f, 0xea, 0xf0, 0x5b, 0x07}} , + {{0x81, 0x9f, 0xc7, 0xde, 0x6b, 0x41, 0x22, 0x35, 0x14, 0x67, 0x77, 0x3e, 0x90, 0x81, 0xb0, 0xd9, 0x85, 0x4c, 0xca, 0x9b, 0x3f, 0x04, 0x59, 0xd6, 0xaa, 0x17, 0xc3, 0x88, 0x34, 0x37, 0xba, 0x43}}}, +{{{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}}}, +{{{0x4c, 0xb6, 0x69, 0xc8, 0x81, 0x95, 0x94, 0x33, 0x92, 0x34, 0xe9, 0x3c, 0x84, 0x0d, 0x3d, 0x5a, 0x37, 0x9c, 0x22, 0xa0, 0xaa, 0x65, 0xce, 0xb4, 0xc2, 0x2d, 0x66, 0x67, 0x02, 0xff, 0x74, 0x10}} , + {{0x22, 0xb0, 0xd5, 0xe6, 0xc7, 0xef, 0xb1, 0xa7, 0x13, 0xda, 0x60, 0xb4, 0x80, 0xc1, 0x42, 0x7d, 0x10, 0x70, 0x97, 0x04, 0x4d, 0xda, 0x23, 0x89, 0xc2, 0x0e, 0x68, 0xcb, 0xde, 0xe0, 0x9b, 0x29}}}, +{{{0x33, 0xfe, 0x42, 0x2a, 0x36, 0x2b, 0x2e, 0x36, 0x64, 0x5c, 0x8b, 0xcc, 0x81, 0x6a, 0x15, 0x08, 0xa1, 0x27, 0xe8, 0x57, 0xe5, 0x78, 0x8e, 0xf2, 0x58, 0x19, 0x12, 0x42, 0xae, 0xc4, 0x63, 0x3e}} , + {{0x78, 0x96, 0x9c, 0xa7, 0xca, 0x80, 0xae, 0x02, 0x85, 0xb1, 0x7c, 0x04, 0x5c, 0xc1, 0x5b, 0x26, 0xc1, 0xba, 0xed, 0xa5, 0x59, 0x70, 0x85, 0x8c, 0x8c, 0xe8, 0x87, 0xac, 0x6a, 0x28, 0x99, 0x35}}}, +{{{0x9f, 0x04, 0x08, 0x28, 0xbe, 0x87, 0xda, 0x80, 0x28, 0x38, 0xde, 0x9f, 0xcd, 0xe4, 0xe3, 0x62, 0xfb, 0x2e, 0x46, 0x8d, 0x01, 0xb3, 0x06, 0x51, 0xd4, 0x19, 0x3b, 0x11, 0xfa, 0xe2, 0xad, 0x1e}} , + {{0xa0, 0x20, 0x99, 0x69, 0x0a, 0xae, 0xa3, 0x70, 0x4e, 0x64, 0x80, 0xb7, 0x85, 0x9c, 0x87, 0x54, 0x43, 0x43, 0x55, 0x80, 0x6d, 0x8d, 0x7c, 0xa9, 0x64, 0xca, 0x6c, 0x2e, 0x21, 0xd8, 0xc8, 0x6c}}}, +{{{0x91, 0x4a, 0x07, 0xad, 0x08, 0x75, 0xc1, 0x4f, 0xa4, 0xb2, 0xc3, 0x6f, 0x46, 0x3e, 0xb1, 0xce, 0x52, 0xab, 0x67, 0x09, 0x54, 0x48, 0x6b, 0x6c, 0xd7, 0x1d, 0x71, 0x76, 0xcb, 0xff, 0xdd, 0x31}} , + {{0x36, 0x88, 0xfa, 0xfd, 0xf0, 0x36, 0x6f, 0x07, 0x74, 0x88, 0x50, 0xd0, 0x95, 0x38, 0x4a, 0x48, 0x2e, 0x07, 0x64, 0x97, 0x11, 0x76, 0x01, 0x1a, 0x27, 0x4d, 0x8e, 0x25, 0x9a, 0x9b, 0x1c, 0x22}}}, +{{{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}}}, +{{{0xbe, 0x57, 0xbd, 0x0e, 0x0f, 0xac, 0x5e, 0x76, 0xa3, 0x71, 0xad, 0x2b, 0x10, 0x45, 0x02, 0xec, 0x59, 0xd5, 0x5d, 0xa9, 0x44, 0xcc, 0x25, 0x4c, 0xb3, 0x3c, 0x5b, 0x69, 0x07, 0x55, 0x26, 0x6b}} , + {{0x30, 0x6b, 0xd4, 0xa7, 0x51, 0x29, 0xe3, 0xf9, 0x7a, 0x75, 0x2a, 0x82, 0x2f, 0xd6, 0x1d, 0x99, 0x2b, 0x80, 0xd5, 0x67, 0x1e, 0x15, 0x9d, 0xca, 0xfd, 0xeb, 0xac, 0x97, 0x35, 0x09, 0x7f, 0x3f}}}, +{{{0x35, 0x0d, 0x34, 0x0a, 0xb8, 0x67, 0x56, 0x29, 0x20, 0xf3, 0x19, 0x5f, 0xe2, 0x83, 0x42, 0x73, 0x53, 0xa8, 0xc5, 0x02, 0x19, 0x33, 0xb4, 0x64, 0xbd, 0xc3, 0x87, 0x8c, 0xd7, 0x76, 0xed, 0x25}} , + {{0x47, 0x39, 0x37, 0x76, 0x0d, 0x1d, 0x0c, 0xf5, 0x5a, 0x6d, 0x43, 0x88, 0x99, 0x15, 0xb4, 0x52, 0x0f, 0x2a, 0xb3, 0xb0, 0x3f, 0xa6, 0xb3, 0x26, 0xb3, 0xc7, 0x45, 0xf5, 0x92, 0x5f, 0x9b, 0x17}}}, +{{{0x9d, 0x23, 0xbd, 0x15, 0xfe, 0x52, 0x52, 0x15, 0x26, 0x79, 0x86, 0xba, 0x06, 0x56, 0x66, 0xbb, 0x8c, 0x2e, 0x10, 0x11, 0xd5, 0x4a, 0x18, 0x52, 0xda, 0x84, 0x44, 0xf0, 0x3e, 0xe9, 0x8c, 0x35}} , + {{0xad, 0xa0, 0x41, 0xec, 0xc8, 0x4d, 0xb9, 0xd2, 0x6e, 0x96, 0x4e, 0x5b, 0xc5, 0xc2, 0xa0, 0x1b, 0xcf, 0x0c, 0xbf, 0x17, 0x66, 0x57, 0xc1, 0x17, 0x90, 0x45, 0x71, 0xc2, 0xe1, 0x24, 0xeb, 0x27}}}, +{{{0x2c, 0xb9, 0x42, 0xa4, 0xaf, 0x3b, 0x42, 0x0e, 0xc2, 0x0f, 0xf2, 0xea, 0x83, 0xaf, 0x9a, 0x13, 0x17, 0xb0, 0xbd, 0x89, 0x17, 0xe3, 0x72, 0xcb, 0x0e, 0x76, 0x7e, 0x41, 0x63, 0x04, 0x88, 0x71}} , + {{0x75, 0x78, 0x38, 0x86, 0x57, 0xdd, 0x9f, 0xee, 0x54, 0x70, 0x65, 0xbf, 0xf1, 0x2c, 0xe0, 0x39, 0x0d, 0xe3, 0x89, 0xfd, 0x8e, 0x93, 0x4f, 0x43, 0xdc, 0xd5, 0x5b, 0xde, 0xf9, 0x98, 0xe5, 0x7b}}}, +{{{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}}}, +{{{0xe7, 0x3b, 0x65, 0x11, 0xdf, 0xb2, 0xf2, 0x63, 0x94, 0x12, 0x6f, 0x5c, 0x9e, 0x77, 0xc1, 0xb6, 0xd8, 0xab, 0x58, 0x7a, 0x1d, 0x95, 0x73, 0xdd, 0xe7, 0xe3, 0x6f, 0xf2, 0x03, 0x1d, 0xdb, 0x76}} , + {{0xae, 0x06, 0x4e, 0x2c, 0x52, 0x1b, 0xbc, 0x5a, 0x5a, 0xa5, 0xbe, 0x27, 0xbd, 0xeb, 0xe1, 0x14, 0x17, 0x68, 0x26, 0x07, 0x03, 0xd1, 0x18, 0x0b, 0xdf, 0xf1, 0x06, 0x5c, 0xa6, 0x1b, 0xb9, 0x24}}}, +{{{0xc5, 0x66, 0x80, 0x13, 0x0e, 0x48, 0x8c, 0x87, 0x31, 0x84, 0xb4, 0x60, 0xed, 0xc5, 0xec, 0xb6, 0xc5, 0x05, 0x33, 0x5f, 0x2f, 0x7d, 0x40, 0xb6, 0x32, 0x1d, 0x38, 0x74, 0x1b, 0xf1, 0x09, 0x3d}} , + {{0xd4, 0x69, 0x82, 0xbc, 0x8d, 0xf8, 0x34, 0x36, 0x75, 0x55, 0x18, 0x55, 0x58, 0x3c, 0x79, 0xaf, 0x26, 0x80, 0xab, 0x9b, 0x95, 0x00, 0xf1, 0xcb, 0xda, 0xc1, 0x9f, 0xf6, 0x2f, 0xa2, 0xf4, 0x45}}}, +{{{0x17, 0xbe, 0xeb, 0x85, 0xed, 0x9e, 0xcd, 0x56, 0xf5, 0x17, 0x45, 0x42, 0xb4, 0x1f, 0x44, 0x4c, 0x05, 0x74, 0x15, 0x47, 0x00, 0xc6, 0x6a, 0x3d, 0x24, 0x09, 0x0d, 0x58, 0xb1, 0x42, 0xd7, 0x04}} , + {{0x8d, 0xbd, 0xa3, 0xc4, 0x06, 0x9b, 0x1f, 0x90, 0x58, 0x60, 0x74, 0xb2, 0x00, 0x3b, 0x3c, 0xd2, 0xda, 0x82, 0xbb, 0x10, 0x90, 0x69, 0x92, 0xa9, 0xb4, 0x30, 0x81, 0xe3, 0x7c, 0xa8, 0x89, 0x45}}}, +{{{0x3f, 0xdc, 0x05, 0xcb, 0x41, 0x3c, 0xc8, 0x23, 0x04, 0x2c, 0x38, 0x99, 0xe3, 0x68, 0x55, 0xf9, 0xd3, 0x32, 0xc7, 0xbf, 0xfa, 0xd4, 0x1b, 0x5d, 0xde, 0xdc, 0x10, 0x42, 0xc0, 0x42, 0xd9, 0x75}} , + {{0x2d, 0xab, 0x35, 0x4e, 0x87, 0xc4, 0x65, 0x97, 0x67, 0x24, 0xa4, 0x47, 0xad, 0x3f, 0x8e, 0xf3, 0xcb, 0x31, 0x17, 0x77, 0xc5, 0xe2, 0xd7, 0x8f, 0x3c, 0xc1, 0xcd, 0x56, 0x48, 0xc1, 0x6c, 0x69}}}, +{{{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}}}, +{{{0x14, 0xae, 0x5f, 0x88, 0x7b, 0xa5, 0x90, 0xdf, 0x10, 0xb2, 0x8b, 0x5e, 0x24, 0x17, 0xc3, 0xa3, 0xd4, 0x0f, 0x92, 0x61, 0x1a, 0x19, 0x5a, 0xad, 0x76, 0xbd, 0xd8, 0x1c, 0xdd, 0xe0, 0x12, 0x6d}} , + {{0x8e, 0xbd, 0x70, 0x8f, 0x02, 0xa3, 0x24, 0x4d, 0x5a, 0x67, 0xc4, 0xda, 0xf7, 0x20, 0x0f, 0x81, 0x5b, 0x7a, 0x05, 0x24, 0x67, 0x83, 0x0b, 0x2a, 0x80, 0xe7, 0xfd, 0x74, 0x4b, 0x9e, 0x5c, 0x0d}}}, +{{{0x94, 0xd5, 0x5f, 0x1f, 0xa2, 0xfb, 0xeb, 0xe1, 0x07, 0x34, 0xf8, 0x20, 0xad, 0x81, 0x30, 0x06, 0x2d, 0xa1, 0x81, 0x95, 0x36, 0xcf, 0x11, 0x0b, 0xaf, 0xc1, 0x2b, 0x9a, 0x6c, 0x55, 0xc1, 0x16}} , + {{0x36, 0x4f, 0xf1, 0x5e, 0x74, 0x35, 0x13, 0x28, 0xd7, 0x11, 0xcf, 0xb8, 0xde, 0x93, 0xb3, 0x05, 0xb8, 0xb5, 0x73, 0xe9, 0xeb, 0xad, 0x19, 0x1e, 0x89, 0x0f, 0x8b, 0x15, 0xd5, 0x8c, 0xe3, 0x23}}}, +{{{0x33, 0x79, 0xe7, 0x18, 0xe6, 0x0f, 0x57, 0x93, 0x15, 0xa0, 0xa7, 0xaa, 0xc4, 0xbf, 0x4f, 0x30, 0x74, 0x95, 0x5e, 0x69, 0x4a, 0x5b, 0x45, 0xe4, 0x00, 0xeb, 0x23, 0x74, 0x4c, 0xdf, 0x6b, 0x45}} , + {{0x97, 0x29, 0x6c, 0xc4, 0x42, 0x0b, 0xdd, 0xc0, 0x29, 0x5c, 0x9b, 0x34, 0x97, 0xd0, 0xc7, 0x79, 0x80, 0x63, 0x74, 0xe4, 0x8e, 0x37, 0xb0, 0x2b, 0x7c, 0xe8, 0x68, 0x6c, 0xc3, 0x82, 0x97, 0x57}}}, +{{{0x22, 0xbe, 0x83, 0xb6, 0x4b, 0x80, 0x6b, 0x43, 0x24, 0x5e, 0xef, 0x99, 0x9b, 0xa8, 0xfc, 0x25, 0x8d, 0x3b, 0x03, 0x94, 0x2b, 0x3e, 0xe7, 0x95, 0x76, 0x9b, 0xcc, 0x15, 0xdb, 0x32, 0xe6, 0x66}} , + {{0x84, 0xf0, 0x4a, 0x13, 0xa6, 0xd6, 0xfa, 0x93, 0x46, 0x07, 0xf6, 0x7e, 0x5c, 0x6d, 0x5e, 0xf6, 0xa6, 0xe7, 0x48, 0xf0, 0x06, 0xea, 0xff, 0x90, 0xc1, 0xcc, 0x4c, 0x19, 0x9c, 0x3c, 0x4e, 0x53}}}, +{{{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}}}, +{{{0x2a, 0x50, 0xe3, 0x07, 0x15, 0x59, 0xf2, 0x8b, 0x81, 0xf2, 0xf3, 0xd3, 0x6c, 0x99, 0x8c, 0x70, 0x67, 0xec, 0xcc, 0xee, 0x9e, 0x59, 0x45, 0x59, 0x7d, 0x47, 0x75, 0x69, 0xf5, 0x24, 0x93, 0x5d}} , + {{0x6a, 0x4f, 0x1b, 0xbe, 0x6b, 0x30, 0xcf, 0x75, 0x46, 0xe3, 0x7b, 0x9d, 0xfc, 0xcd, 0xd8, 0x5c, 0x1f, 0xb4, 0xc8, 0xe2, 0x24, 0xec, 0x1a, 0x28, 0x05, 0x32, 0x57, 0xfd, 0x3c, 0x5a, 0x98, 0x10}}}, +{{{0xa3, 0xdb, 0xf7, 0x30, 0xd8, 0xc2, 0x9a, 0xe1, 0xd3, 0xce, 0x22, 0xe5, 0x80, 0x1e, 0xd9, 0xe4, 0x1f, 0xab, 0xc0, 0x71, 0x1a, 0x86, 0x0e, 0x27, 0x99, 0x5b, 0xfa, 0x76, 0x99, 0xb0, 0x08, 0x3c}} , + {{0x2a, 0x93, 0xd2, 0x85, 0x1b, 0x6a, 0x5d, 0xa6, 0xee, 0xd1, 0xd1, 0x33, 0xbd, 0x6a, 0x36, 0x73, 0x37, 0x3a, 0x44, 0xb4, 0xec, 0xa9, 0x7a, 0xde, 0x83, 0x40, 0xd7, 0xdf, 0x28, 0xba, 0xa2, 0x30}}}, +{{{0xd3, 0xb5, 0x6d, 0x05, 0x3f, 0x9f, 0xf3, 0x15, 0x8d, 0x7c, 0xca, 0xc9, 0xfc, 0x8a, 0x7c, 0x94, 0xb0, 0x63, 0x36, 0x9b, 0x78, 0xd1, 0x91, 0x1f, 0x93, 0xd8, 0x57, 0x43, 0xde, 0x76, 0xa3, 0x43}} , + {{0x9b, 0x35, 0xe2, 0xa9, 0x3d, 0x32, 0x1e, 0xbb, 0x16, 0x28, 0x70, 0xe9, 0x45, 0x2f, 0x8f, 0x70, 0x7f, 0x08, 0x7e, 0x53, 0xc4, 0x7a, 0xbf, 0xf7, 0xe1, 0xa4, 0x6a, 0xd8, 0xac, 0x64, 0x1b, 0x11}}}, +{{{0xb2, 0xeb, 0x47, 0x46, 0x18, 0x3e, 0x1f, 0x99, 0x0c, 0xcc, 0xf1, 0x2c, 0xe0, 0xe7, 0x8f, 0xe0, 0x01, 0x7e, 0x65, 0xb8, 0x0c, 0xd0, 0xfb, 0xc8, 0xb9, 0x90, 0x98, 0x33, 0x61, 0x3b, 0xd8, 0x27}} , + {{0xa0, 0xbe, 0x72, 0x3a, 0x50, 0x4b, 0x74, 0xab, 0x01, 0xc8, 0x93, 0xc5, 0xe4, 0xc7, 0x08, 0x6c, 0xb4, 0xca, 0xee, 0xeb, 0x8e, 0xd7, 0x4e, 0x26, 0xc6, 0x1d, 0xe2, 0x71, 0xaf, 0x89, 0xa0, 0x2a}}}, +{{{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}}}, +{{{0x98, 0x0b, 0xe4, 0xde, 0xdb, 0xa8, 0xfa, 0x82, 0x74, 0x06, 0x52, 0x6d, 0x08, 0x52, 0x8a, 0xff, 0x62, 0xc5, 0x6a, 0x44, 0x0f, 0x51, 0x8c, 0x1f, 0x6e, 0xb6, 0xc6, 0x2c, 0x81, 0xd3, 0x76, 0x46}} , + {{0xf4, 0x29, 0x74, 0x2e, 0x80, 0xa7, 0x1a, 0x8f, 0xf6, 0xbd, 0xd6, 0x8e, 0xbf, 0xc1, 0x95, 0x2a, 0xeb, 0xa0, 0x7f, 0x45, 0xa0, 0x50, 0x14, 0x05, 0xb1, 0x57, 0x4c, 0x74, 0xb7, 0xe2, 0x89, 0x7d}}}, +{{{0x07, 0xee, 0xa7, 0xad, 0xb7, 0x09, 0x0b, 0x49, 0x4e, 0xbf, 0xca, 0xe5, 0x21, 0xe6, 0xe6, 0xaf, 0xd5, 0x67, 0xf3, 0xce, 0x7e, 0x7c, 0x93, 0x7b, 0x5a, 0x10, 0x12, 0x0e, 0x6c, 0x06, 0x11, 0x75}} , + {{0xd5, 0xfc, 0x86, 0xa3, 0x3b, 0xa3, 0x3e, 0x0a, 0xfb, 0x0b, 0xf7, 0x36, 0xb1, 0x5b, 0xda, 0x70, 0xb7, 0x00, 0xa7, 0xda, 0x88, 0x8f, 0x84, 0xa8, 0xbc, 0x1c, 0x39, 0xb8, 0x65, 0xf3, 0x4d, 0x60}}}, +{{{0x96, 0x9d, 0x31, 0xf4, 0xa2, 0xbe, 0x81, 0xb9, 0xa5, 0x59, 0x9e, 0xba, 0x07, 0xbe, 0x74, 0x58, 0xd8, 0xeb, 0xc5, 0x9f, 0x3d, 0xd1, 0xf4, 0xae, 0xce, 0x53, 0xdf, 0x4f, 0xc7, 0x2a, 0x89, 0x4d}} , + {{0x29, 0xd8, 0xf2, 0xaa, 0xe9, 0x0e, 0xf7, 0x2e, 0x5f, 0x9d, 0x8a, 0x5b, 0x09, 0xed, 0xc9, 0x24, 0x22, 0xf4, 0x0f, 0x25, 0x8f, 0x1c, 0x84, 0x6e, 0x34, 0x14, 0x6c, 0xea, 0xb3, 0x86, 0x5d, 0x04}}}, +{{{0x07, 0x98, 0x61, 0xe8, 0x6a, 0xd2, 0x81, 0x49, 0x25, 0xd5, 0x5b, 0x18, 0xc7, 0x35, 0x52, 0x51, 0xa4, 0x46, 0xad, 0x18, 0x0d, 0xc9, 0x5f, 0x18, 0x91, 0x3b, 0xb4, 0xc0, 0x60, 0x59, 0x8d, 0x66}} , + {{0x03, 0x1b, 0x79, 0x53, 0x6e, 0x24, 0xae, 0x57, 0xd9, 0x58, 0x09, 0x85, 0x48, 0xa2, 0xd3, 0xb5, 0xe2, 0x4d, 0x11, 0x82, 0xe6, 0x86, 0x3c, 0xe9, 0xb1, 0x00, 0x19, 0xc2, 0x57, 0xf7, 0x66, 0x7a}}}, +{{{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}}}, +{{{0x0f, 0xe3, 0x89, 0x03, 0xd7, 0x22, 0x95, 0x9f, 0xca, 0xb4, 0x8d, 0x9e, 0x6d, 0x97, 0xff, 0x8d, 0x21, 0x59, 0x07, 0xef, 0x03, 0x2d, 0x5e, 0xf8, 0x44, 0x46, 0xe7, 0x85, 0x80, 0xc5, 0x89, 0x50}} , + {{0x8b, 0xd8, 0x53, 0x86, 0x24, 0x86, 0x29, 0x52, 0x01, 0xfa, 0x20, 0xc3, 0x4e, 0x95, 0xcb, 0xad, 0x7b, 0x34, 0x94, 0x30, 0xb7, 0x7a, 0xfa, 0x96, 0x41, 0x60, 0x2b, 0xcb, 0x59, 0xb9, 0xca, 0x50}}}, +{{{0xc2, 0x5b, 0x9b, 0x78, 0x23, 0x1b, 0x3a, 0x88, 0x94, 0x5f, 0x0a, 0x9b, 0x98, 0x2b, 0x6e, 0x53, 0x11, 0xf6, 0xff, 0xc6, 0x7d, 0x42, 0xcc, 0x02, 0x80, 0x40, 0x0d, 0x1e, 0xfb, 0xaf, 0x61, 0x07}} , + {{0xb0, 0xe6, 0x2f, 0x81, 0x70, 0xa1, 0x2e, 0x39, 0x04, 0x7c, 0xc4, 0x2c, 0x87, 0x45, 0x4a, 0x5b, 0x69, 0x97, 0xac, 0x6d, 0x2c, 0x10, 0x42, 0x7c, 0x3b, 0x15, 0x70, 0x60, 0x0e, 0x11, 0x6d, 0x3a}}}, +{{{0x9b, 0x18, 0x80, 0x5e, 0xdb, 0x05, 0xbd, 0xc6, 0xb7, 0x3c, 0xc2, 0x40, 0x4d, 0x5d, 0xce, 0x97, 0x8a, 0x34, 0x15, 0xab, 0x28, 0x5d, 0x10, 0xf0, 0x37, 0x0c, 0xcc, 0x16, 0xfa, 0x1f, 0x33, 0x0d}} , + {{0x19, 0xf9, 0x35, 0xaa, 0x59, 0x1a, 0x0c, 0x5c, 0x06, 0xfc, 0x6a, 0x0b, 0x97, 0x53, 0x36, 0xfc, 0x2a, 0xa5, 0x5a, 0x9b, 0x30, 0xef, 0x23, 0xaf, 0x39, 0x5d, 0x9a, 0x6b, 0x75, 0x57, 0x48, 0x0b}}}, +{{{0x26, 0xdc, 0x76, 0x3b, 0xfc, 0xf9, 0x9c, 0x3f, 0x89, 0x0b, 0x62, 0x53, 0xaf, 0x83, 0x01, 0x2e, 0xbc, 0x6a, 0xc6, 0x03, 0x0d, 0x75, 0x2a, 0x0d, 0xe6, 0x94, 0x54, 0xcf, 0xb3, 0xe5, 0x96, 0x25}} , + {{0xfe, 0x82, 0xb1, 0x74, 0x31, 0x8a, 0xa7, 0x6f, 0x56, 0xbd, 0x8d, 0xf4, 0xe0, 0x94, 0x51, 0x59, 0xde, 0x2c, 0x5a, 0xf4, 0x84, 0x6b, 0x4a, 0x88, 0x93, 0xc0, 0x0c, 0x9a, 0xac, 0xa7, 0xa0, 0x68}}}, +{{{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}}}, +{{{0x25, 0x0d, 0xd6, 0xc7, 0x23, 0x47, 0x10, 0xad, 0xc7, 0x08, 0x5c, 0x87, 0x87, 0x93, 0x98, 0x18, 0xb8, 0xd3, 0x9c, 0xac, 0x5a, 0x3d, 0xc5, 0x75, 0xf8, 0x49, 0x32, 0x14, 0xcc, 0x51, 0x96, 0x24}} , + {{0x65, 0x9c, 0x5d, 0xf0, 0x37, 0x04, 0xf0, 0x34, 0x69, 0x2a, 0xf0, 0xa5, 0x64, 0xca, 0xde, 0x2b, 0x5b, 0x15, 0x10, 0xd2, 0xab, 0x06, 0xdd, 0xc4, 0xb0, 0xb6, 0x5b, 0xc1, 0x17, 0xdf, 0x8f, 0x02}}}, +{{{0xbd, 0x59, 0x3d, 0xbf, 0x5c, 0x31, 0x44, 0x2c, 0x32, 0x94, 0x04, 0x60, 0x84, 0x0f, 0xad, 0x00, 0xb6, 0x8f, 0xc9, 0x1d, 0xcc, 0x5c, 0xa2, 0x49, 0x0e, 0x50, 0x91, 0x08, 0x9a, 0x43, 0x55, 0x05}} , + {{0x5d, 0x93, 0x55, 0xdf, 0x9b, 0x12, 0x19, 0xec, 0x93, 0x85, 0x42, 0x9e, 0x66, 0x0f, 0x9d, 0xaf, 0x99, 0xaf, 0x26, 0x89, 0xbc, 0x61, 0xfd, 0xff, 0xce, 0x4b, 0xf4, 0x33, 0x95, 0xc9, 0x35, 0x58}}}, +{{{0x12, 0x55, 0xf9, 0xda, 0xcb, 0x44, 0xa7, 0xdc, 0x57, 0xe2, 0xf9, 0x9a, 0xe6, 0x07, 0x23, 0x60, 0x54, 0xa7, 0x39, 0xa5, 0x9b, 0x84, 0x56, 0x6e, 0xaa, 0x8b, 0x8f, 0xb0, 0x2c, 0x87, 0xaf, 0x67}} , + {{0x00, 0xa9, 0x4c, 0xb2, 0x12, 0xf8, 0x32, 0xa8, 0x7a, 0x00, 0x4b, 0x49, 0x32, 0xba, 0x1f, 0x5d, 0x44, 0x8e, 0x44, 0x7a, 0xdc, 0x11, 0xfb, 0x39, 0x08, 0x57, 0x87, 0xa5, 0x12, 0x42, 0x93, 0x0e}}}, +{{{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/hash.c b/hash.c new file mode 100644 index 000000000..3298a0bbc --- /dev/null +++ b/hash.c @@ -0,0 +1,74 @@ +/* $OpenBSD: */ + +/* Public Domain, from supercop-20130419/crypto_hash/sha512/ref/hash.c */ + +/* +20080913 +D. J. Bernstein +Public domain. +*/ + +#include "crypto_api.h" + +#define blocks crypto_hashblocks_sha512 + +static const unsigned char iv[64] = { + 0x6a,0x09,0xe6,0x67,0xf3,0xbc,0xc9,0x08, + 0xbb,0x67,0xae,0x85,0x84,0xca,0xa7,0x3b, + 0x3c,0x6e,0xf3,0x72,0xfe,0x94,0xf8,0x2b, + 0xa5,0x4f,0xf5,0x3a,0x5f,0x1d,0x36,0xf1, + 0x51,0x0e,0x52,0x7f,0xad,0xe6,0x82,0xd1, + 0x9b,0x05,0x68,0x8c,0x2b,0x3e,0x6c,0x1f, + 0x1f,0x83,0xd9,0xab,0xfb,0x41,0xbd,0x6b, + 0x5b,0xe0,0xcd,0x19,0x13,0x7e,0x21,0x79 +} ; + +typedef unsigned long long uint64; + +int crypto_hash_sha512(unsigned char *out,const unsigned char *in,unsigned long long inlen) +{ + unsigned char h[64]; + unsigned char padded[256]; + unsigned int i; + unsigned long long bytes = inlen; + + for (i = 0;i < 64;++i) h[i] = iv[i]; + + blocks(h,in,inlen); + in += inlen; + inlen &= 127; + in -= inlen; + + for (i = 0;i < inlen;++i) padded[i] = in[i]; + padded[inlen] = 0x80; + + if (inlen < 112) { + for (i = inlen + 1;i < 119;++i) padded[i] = 0; + padded[119] = bytes >> 61; + padded[120] = bytes >> 53; + padded[121] = bytes >> 45; + padded[122] = bytes >> 37; + padded[123] = bytes >> 29; + padded[124] = bytes >> 21; + padded[125] = bytes >> 13; + padded[126] = bytes >> 5; + padded[127] = bytes << 3; + blocks(h,padded,128); + } else { + for (i = inlen + 1;i < 247;++i) padded[i] = 0; + padded[247] = bytes >> 61; + padded[248] = bytes >> 53; + padded[249] = bytes >> 45; + padded[250] = bytes >> 37; + padded[251] = bytes >> 29; + padded[252] = bytes >> 21; + padded[253] = bytes >> 13; + padded[254] = bytes >> 5; + padded[255] = bytes << 3; + blocks(h,padded,256); + } + + for (i = 0;i < 64;++i) out[i] = h[i]; + + return 0; +} diff --git a/key.c b/key.c index c09f43f19..236e02676 100644 --- a/key.c +++ b/key.c @@ -39,6 +39,8 @@ #include #include +#include "crypto_api.h" + #include #include @@ -86,6 +88,8 @@ key_new(int type) k->dsa = NULL; k->rsa = NULL; k->cert = NULL; + k->ed25519_sk = NULL; + k->ed25519_pk = NULL; switch (k->type) { case KEY_RSA1: case KEY_RSA: @@ -120,6 +124,10 @@ key_new(int type) /* Cannot do anything until we know the group */ break; #endif + case KEY_ED25519: + case KEY_ED25519_CERT: + /* no need to prealloc */ + break; case KEY_UNSPEC: break; default: @@ -164,6 +172,10 @@ key_add_private(Key *k) case KEY_ECDSA_CERT: /* Cannot do anything until we know the group */ break; + case KEY_ED25519: + case KEY_ED25519_CERT: + /* no need to prealloc */ + break; case KEY_UNSPEC: break; default: @@ -226,6 +238,19 @@ key_free(Key *k) k->ecdsa = NULL; break; #endif + case KEY_ED25519: + case KEY_ED25519_CERT: + if (k->ed25519_pk) { + memset(k->ed25519_pk, 0, ED25519_PK_SZ); + free(k->ed25519_pk); + k->ed25519_pk = NULL; + } + if (k->ed25519_sk) { + memset(k->ed25519_sk, 0, ED25519_SK_SZ); + free(k->ed25519_sk); + k->ed25519_sk = NULL; + } + break; case KEY_UNSPEC: break; default: @@ -307,6 +332,10 @@ key_equal_public(const Key *a, const Key *b) BN_CTX_free(bnctx); return 1; #endif /* OPENSSL_HAS_ECC */ + case KEY_ED25519: + case KEY_ED25519_CERT: + return a->ed25519_pk != NULL && b->ed25519_pk != NULL && + memcmp(a->ed25519_pk, b->ed25519_pk, ED25519_PK_SZ) == 0; default: fatal("key_equal: bad key type %d", a->type); } @@ -366,6 +395,7 @@ key_fingerprint_raw(const Key *k, enum fp_type dgst_type, case KEY_DSA: case KEY_ECDSA: case KEY_RSA: + case KEY_ED25519: key_to_blob(k, &blob, &len); break; case KEY_DSA_CERT_V00: @@ -373,6 +403,7 @@ key_fingerprint_raw(const Key *k, enum fp_type dgst_type, case KEY_DSA_CERT: case KEY_ECDSA_CERT: case KEY_RSA_CERT: + case KEY_ED25519_CERT: /* We want a fingerprint of the _key_ not of the cert */ to_blob(k, &blob, &len, 1); break; @@ -699,11 +730,13 @@ key_read(Key *ret, char **cpp) case KEY_RSA: case KEY_DSA: case KEY_ECDSA: + case KEY_ED25519: case KEY_DSA_CERT_V00: case KEY_RSA_CERT_V00: case KEY_DSA_CERT: case KEY_ECDSA_CERT: case KEY_RSA_CERT: + case KEY_ED25519_CERT: space = strchr(cp, ' '); if (space == NULL) { debug3("key_read: missing whitespace"); @@ -805,6 +838,14 @@ key_read(Key *ret, char **cpp) #endif } #endif + if (key_type_plain(ret->type) == KEY_ED25519) { + free(ret->ed25519_pk); + ret->ed25519_pk = k->ed25519_pk; + k->ed25519_pk = NULL; +#ifdef DEBUG_PK + /* XXX */ +#endif + } success = 1; /*XXXX*/ key_free(k); @@ -868,6 +909,11 @@ key_write(const Key *key, FILE *f) return 0; break; #endif + case KEY_ED25519: + case KEY_ED25519_CERT: + if (key->ed25519_pk == NULL) + return 0; + break; case KEY_RSA: case KEY_RSA_CERT_V00: case KEY_RSA_CERT: @@ -915,6 +961,7 @@ static const struct keytype keytypes[] = { { NULL, "RSA1", KEY_RSA1, 0, 0 }, { "ssh-rsa", "RSA", KEY_RSA, 0, 0 }, { "ssh-dss", "DSA", KEY_DSA, 0, 0 }, + { "ssh-ed25519", "ED25519", KEY_ED25519, 0, 0 }, #ifdef OPENSSL_HAS_ECC { "ecdsa-sha2-nistp256", "ECDSA", KEY_ECDSA, NID_X9_62_prime256v1, 0 }, { "ecdsa-sha2-nistp384", "ECDSA", KEY_ECDSA, NID_secp384r1, 0 }, @@ -938,6 +985,8 @@ static const struct keytype keytypes[] = { KEY_RSA_CERT_V00, 0, 1 }, { "ssh-dss-cert-v00@openssh.com", "DSA-CERT-V00", KEY_DSA_CERT_V00, 0, 1 }, + { "ssh-ed25519-cert-v01@openssh.com", "ED25519-CERT", + KEY_ED25519_CERT, 0, 1 }, { NULL, NULL, -1, -1, 0 } }; @@ -1009,7 +1058,7 @@ key_ecdsa_nid_from_name(const char *name) } char * -key_alg_list(void) +key_alg_list(int certs_only, int plain_only) { char *ret = NULL; size_t nlen, rlen = 0; @@ -1018,6 +1067,8 @@ key_alg_list(void) for (kt = keytypes; kt->type != -1; kt++) { if (kt->name == NULL) continue; + if ((certs_only && !kt->cert) || (plain_only && kt->cert)) + continue; if (ret != NULL) ret[rlen++] = '\n'; nlen = strlen(kt->name); @@ -1053,6 +1104,8 @@ key_size(const Key *k) case KEY_DSA_CERT_V00: case KEY_DSA_CERT: return BN_num_bits(k->dsa->p); + case KEY_ED25519: + return 256; /* XXX */ #ifdef OPENSSL_HAS_ECC case KEY_ECDSA: case KEY_ECDSA_CERT: @@ -1196,6 +1249,11 @@ key_generate(int type, u_int bits) case KEY_RSA1: k->rsa = rsa_generate_private_key(bits); break; + case KEY_ED25519: + k->ed25519_pk = xmalloc(ED25519_PK_SZ); + k->ed25519_sk = xmalloc(ED25519_SK_SZ); + crypto_sign_ed25519_keypair(k->ed25519_pk, k->ed25519_sk); + break; case KEY_RSA_CERT_V00: case KEY_DSA_CERT_V00: case KEY_RSA_CERT: @@ -1289,6 +1347,14 @@ key_from_private(const Key *k) (BN_copy(n->rsa->e, k->rsa->e) == NULL)) fatal("key_from_private: BN_copy failed"); break; + case KEY_ED25519: + case KEY_ED25519_CERT: + n = key_new(k->type); + if (k->ed25519_pk != NULL) { + n->ed25519_pk = xmalloc(ED25519_PK_SZ); + memcpy(n->ed25519_pk, k->ed25519_pk, ED25519_PK_SZ); + } + break; default: fatal("key_from_private: unknown type %d", k->type); break; @@ -1451,7 +1517,9 @@ key_from_blob2(const u_char *blob, u_int blen, int allow_cert) { Buffer b; int rlen, type; + u_int len; char *ktype = NULL, *curve = NULL; + u_char *pk = NULL; Key *key = NULL; #ifdef OPENSSL_HAS_ECC EC_POINT *q = NULL; @@ -1550,6 +1618,23 @@ key_from_blob2(const u_char *blob, u_int blen, int allow_cert) #endif break; #endif /* OPENSSL_HAS_ECC */ + case KEY_ED25519_CERT: + (void)buffer_get_string_ptr_ret(&b, NULL); /* Skip nonce */ + /* FALLTHROUGH */ + case KEY_ED25519: + if ((pk = buffer_get_string_ret(&b, &len)) == NULL) { + error("key_from_blob: can't read ed25519 key"); + goto badkey; + } + if (len != ED25519_PK_SZ) { + error("key_from_blob: ed25519 len %d != %d", + len, ED25519_PK_SZ); + goto badkey; + } + key = key_new(type); + key->ed25519_pk = pk; + pk = NULL; + break; case KEY_UNSPEC: key = key_new(type); break; @@ -1567,6 +1652,7 @@ key_from_blob2(const u_char *blob, u_int blen, int allow_cert) out: free(ktype); free(curve); + free(pk); #ifdef OPENSSL_HAS_ECC if (q != NULL) EC_POINT_free(q); @@ -1603,6 +1689,7 @@ to_blob(const Key *key, u_char **blobp, u_int *lenp, int force_plain) case KEY_DSA_CERT: case KEY_ECDSA_CERT: case KEY_RSA_CERT: + case KEY_ED25519_CERT: /* Use the existing blob */ buffer_append(&b, buffer_ptr(&key->cert->certblob), buffer_len(&key->cert->certblob)); @@ -1630,6 +1717,11 @@ to_blob(const Key *key, u_char **blobp, u_int *lenp, int force_plain) buffer_put_bignum2(&b, key->rsa->e); buffer_put_bignum2(&b, key->rsa->n); break; + case KEY_ED25519: + buffer_put_cstring(&b, + key_ssh_name_from_type_nid(type, key->ecdsa_nid)); + buffer_put_string(&b, key->ed25519_pk, ED25519_PK_SZ); + break; default: error("key_to_blob: unsupported key type %d", key->type); buffer_free(&b); @@ -1673,6 +1765,9 @@ key_sign( case KEY_RSA_CERT: case KEY_RSA: return ssh_rsa_sign(key, sigp, lenp, data, datalen); + case KEY_ED25519: + case KEY_ED25519_CERT: + return ssh_ed25519_sign(key, sigp, lenp, data, datalen); default: error("key_sign: invalid key type %d", key->type); return -1; @@ -1706,6 +1801,9 @@ key_verify( case KEY_RSA_CERT: case KEY_RSA: return ssh_rsa_verify(key, signature, signaturelen, data, datalen); + case KEY_ED25519: + case KEY_ED25519_CERT: + return ssh_ed25519_verify(key, signature, signaturelen, data, datalen); default: error("key_verify: invalid key type %d", key->type); return -1; @@ -1725,6 +1823,8 @@ key_demote(const Key *k) pk->dsa = NULL; pk->ecdsa = NULL; pk->rsa = NULL; + pk->ed25519_pk = NULL; + pk->ed25519_sk = NULL; switch (k->type) { case KEY_RSA_CERT_V00: @@ -1768,8 +1868,17 @@ key_demote(const Key *k) fatal("key_demote: EC_KEY_set_public_key failed"); break; #endif + case KEY_ED25519_CERT: + key_cert_copy(k, pk); + /* FALLTHROUGH */ + case KEY_ED25519: + if (k->ed25519_pk != NULL) { + pk->ed25519_pk = xmalloc(ED25519_PK_SZ); + memcpy(pk->ed25519_pk, k->ed25519_pk, ED25519_PK_SZ); + } + break; default: - fatal("key_free: bad key type %d", k->type); + fatal("key_demote: bad key type %d", k->type); break; } @@ -1797,6 +1906,8 @@ key_type_plain(int type) return KEY_DSA; case KEY_ECDSA_CERT: return KEY_ECDSA; + case KEY_ED25519_CERT: + return KEY_ED25519; default: return type; } @@ -1822,6 +1933,13 @@ key_to_certified(Key *k, int legacy) k->cert = cert_new(); k->type = KEY_ECDSA_CERT; return 0; + case KEY_ED25519: + if (legacy) + fatal("%s: legacy ED25519 certificates are not " + "supported", __func__); + k->cert = cert_new(); + k->type = KEY_ED25519_CERT; + return 0; default: error("%s: key has incorrect type %s", __func__, key_type(k)); return -1; @@ -1832,31 +1950,16 @@ key_to_certified(Key *k, int legacy) int key_drop_cert(Key *k) { - switch (k->type) { - case KEY_RSA_CERT_V00: - case KEY_RSA_CERT: - cert_free(k->cert); - k->type = KEY_RSA; - return 0; - case KEY_DSA_CERT_V00: - case KEY_DSA_CERT: - cert_free(k->cert); - k->type = KEY_DSA; - return 0; - case KEY_ECDSA_CERT: - cert_free(k->cert); - k->type = KEY_ECDSA; - return 0; - default: + if (!key_type_is_cert(k->type)) { error("%s: key has incorrect type %s", __func__, key_type(k)); return -1; } + cert_free(k->cert); + k->type = key_type_plain(k->type); + return 0; } -/* - * Sign a KEY_RSA_CERT, KEY_DSA_CERT or KEY_ECDSA_CERT, (re-)generating - * the signed certblob - */ +/* Sign a certified key, (re-)generating the signed certblob. */ int key_certify(Key *k, Key *ca) { @@ -1876,7 +1979,7 @@ key_certify(Key *k, Key *ca) } if (ca->type != KEY_RSA && ca->type != KEY_DSA && - ca->type != KEY_ECDSA) { + ca->type != KEY_ECDSA && ca->type != KEY_ED25519) { error("%s: CA key has unsupported type %s", __func__, key_type(ca)); return -1; @@ -1915,6 +2018,10 @@ key_certify(Key *k, Key *ca) buffer_put_bignum2(&k->cert->certblob, k->rsa->e); buffer_put_bignum2(&k->cert->certblob, k->rsa->n); break; + case KEY_ED25519_CERT: + buffer_put_string(&k->cert->certblob, + k->ed25519_pk, ED25519_PK_SZ); + break; default: error("%s: key has incorrect type %s", __func__, key_type(k)); buffer_clear(&k->cert->certblob); @@ -2332,6 +2439,18 @@ key_private_serialize(const Key *key, Buffer *b) buffer_put_bignum2(b, EC_KEY_get0_private_key(key->ecdsa)); break; #endif /* OPENSSL_HAS_ECC */ + case KEY_ED25519: + buffer_put_string(b, key->ed25519_pk, ED25519_PK_SZ); + buffer_put_string(b, key->ed25519_sk, ED25519_SK_SZ); + break; + case KEY_ED25519_CERT: + if (key->cert == NULL || buffer_len(&key->cert->certblob) == 0) + fatal("%s: no cert/certblob", __func__); + buffer_put_string(b, buffer_ptr(&key->cert->certblob), + buffer_len(&key->cert->certblob)); + buffer_put_string(b, key->ed25519_pk, ED25519_PK_SZ); + buffer_put_string(b, key->ed25519_sk, ED25519_SK_SZ); + break; } } @@ -2341,7 +2460,7 @@ key_private_deserialize(Buffer *blob) char *type_name; Key *k = NULL; u_char *cert; - u_int len; + u_int len, pklen, sklen; int type; #ifdef OPENSSL_HAS_ECC char *curve; @@ -2446,6 +2565,32 @@ key_private_deserialize(Buffer *blob) buffer_get_bignum2(blob, k->rsa->p); buffer_get_bignum2(blob, k->rsa->q); break; + case KEY_ED25519: + k = key_new_private(type); + k->ed25519_pk = buffer_get_string(blob, &pklen); + k->ed25519_sk = buffer_get_string(blob, &sklen); + if (pklen != ED25519_PK_SZ) + fatal("%s: ed25519 pklen %d != %d", + __func__, pklen, ED25519_PK_SZ); + if (sklen != ED25519_SK_SZ) + fatal("%s: ed25519 sklen %d != %d", + __func__, sklen, ED25519_SK_SZ); + break; + case KEY_ED25519_CERT: + cert = buffer_get_string(blob, &len); + if ((k = key_from_blob(cert, len)) == NULL) + fatal("Certificate parse failed"); + free(cert); + key_add_private(k); + k->ed25519_pk = buffer_get_string(blob, &pklen); + k->ed25519_sk = buffer_get_string(blob, &sklen); + if (pklen != ED25519_PK_SZ) + fatal("%s: ed25519 pklen %d != %d", + __func__, pklen, ED25519_PK_SZ); + if (sklen != ED25519_SK_SZ) + fatal("%s: ed25519 sklen %d != %d", + __func__, sklen, ED25519_SK_SZ); + break; default: free(type_name); buffer_clear(blob); diff --git a/key.h b/key.h index efa711769..6a049d277 100644 --- a/key.h +++ b/key.h @@ -1,4 +1,4 @@ -/* $OpenBSD: key.h,v 1.39 2013/12/06 13:30:08 markus Exp $ */ +/* $OpenBSD: key.h,v 1.40 2013/12/06 13:39:49 markus Exp $ */ /* * Copyright (c) 2000, 2001 Markus Friedl. All rights reserved. @@ -39,9 +39,11 @@ enum types { KEY_RSA, KEY_DSA, KEY_ECDSA, + KEY_ED25519, KEY_RSA_CERT, KEY_DSA_CERT, KEY_ECDSA_CERT, + KEY_ED25519_CERT, KEY_RSA_CERT_V00, KEY_DSA_CERT_V00, KEY_UNSPEC @@ -86,8 +88,13 @@ struct Key { void *ecdsa; #endif struct KeyCert *cert; + u_char *ed25519_sk; + u_char *ed25519_pk; }; +#define ED25519_SK_SZ crypto_sign_ed25519_SECRETKEYBYTES +#define ED25519_PK_SZ crypto_sign_ed25519_PUBLICKEYBYTES + Key *key_new(int); void key_add_private(Key *); Key *key_new_private(int); @@ -128,7 +135,7 @@ const EVP_MD *key_ec_nid_to_evpmd(int nid); int key_ec_validate_public(const EC_GROUP *, const EC_POINT *); int key_ec_validate_private(const EC_KEY *); #endif -char *key_alg_list(void); +char *key_alg_list(int, int); Key *key_from_blob(const u_char *, u_int); int key_to_blob(const Key *, u_char **, u_int *); @@ -145,6 +152,8 @@ int ssh_ecdsa_sign(const Key *, u_char **, u_int *, const u_char *, u_int); int ssh_ecdsa_verify(const Key *, const u_char *, u_int, const u_char *, u_int); int ssh_rsa_sign(const Key *, u_char **, u_int *, const u_char *, u_int); int ssh_rsa_verify(const Key *, const u_char *, u_int, const u_char *, u_int); +int ssh_ed25519_sign(const Key *, u_char **, u_int *, const u_char *, u_int); +int ssh_ed25519_verify(const Key *, const u_char *, u_int, const u_char *, u_int); #if defined(OPENSSL_HAS_ECC) && (defined(DEBUG_KEXECDH) || defined(DEBUG_PK)) void key_dump_ec_point(const EC_GROUP *, const EC_POINT *); diff --git a/myproposal.h b/myproposal.h index 71dbc997e..3a0f5aeab 100644 --- a/myproposal.h +++ b/myproposal.h @@ -1,4 +1,4 @@ -/* $OpenBSD: myproposal.h,v 1.34 2013/11/21 00:45:44 djm Exp $ */ +/* $OpenBSD: myproposal.h,v 1.35 2013/12/06 13:39:49 markus Exp $ */ /* * Copyright (c) 2000 Markus Friedl. All rights reserved. @@ -90,11 +90,13 @@ #define KEX_DEFAULT_PK_ALG \ HOSTKEY_ECDSA_CERT_METHODS \ + "ssh-ed25519-cert-v01@openssh.com," \ "ssh-rsa-cert-v01@openssh.com," \ "ssh-dss-cert-v01@openssh.com," \ "ssh-rsa-cert-v00@openssh.com," \ "ssh-dss-cert-v00@openssh.com," \ HOSTKEY_ECDSA_METHODS \ + "ssh-ed25519," \ "ssh-rsa," \ "ssh-dss" diff --git a/pathnames.h b/pathnames.h index 5027fbaed..ec89fc666 100644 --- a/pathnames.h +++ b/pathnames.h @@ -1,4 +1,4 @@ -/* $OpenBSD: pathnames.h,v 1.23 2013/04/05 00:31:49 djm Exp $ */ +/* $OpenBSD: pathnames.h,v 1.24 2013/12/06 13:39:49 markus Exp $ */ /* * Author: Tatu Ylonen @@ -39,6 +39,7 @@ #define _PATH_HOST_KEY_FILE SSHDIR "/ssh_host_key" #define _PATH_HOST_DSA_KEY_FILE SSHDIR "/ssh_host_dsa_key" #define _PATH_HOST_ECDSA_KEY_FILE SSHDIR "/ssh_host_ecdsa_key" +#define _PATH_HOST_ED25519_KEY_FILE SSHDIR "/ssh_host_ed25519_key" #define _PATH_HOST_RSA_KEY_FILE SSHDIR "/ssh_host_rsa_key" #define _PATH_DH_MODULI SSHDIR "/moduli" /* Backwards compatibility */ @@ -77,6 +78,7 @@ #define _PATH_SSH_CLIENT_ID_DSA _PATH_SSH_USER_DIR "/id_dsa" #define _PATH_SSH_CLIENT_ID_ECDSA _PATH_SSH_USER_DIR "/id_ecdsa" #define _PATH_SSH_CLIENT_ID_RSA _PATH_SSH_USER_DIR "/id_rsa" +#define _PATH_SSH_CLIENT_ID_ED25519 _PATH_SSH_USER_DIR "/id_ed25519" /* * Configuration file in user's home directory. This file need not be diff --git a/readconf.c b/readconf.c index 0e1030d00..08e168521 100644 --- a/readconf.c +++ b/readconf.c @@ -1,4 +1,4 @@ -/* $OpenBSD: readconf.c,v 1.214 2013/11/20 20:54:10 deraadt Exp $ */ +/* $OpenBSD: readconf.c,v 1.215 2013/12/06 13:39:49 markus Exp $ */ /* * Author: Tatu Ylonen * Copyright (c) 1995 Tatu Ylonen , Espoo, Finland @@ -1645,6 +1645,8 @@ fill_default_options(Options * options) add_identity_file(options, "~/", _PATH_SSH_CLIENT_ID_ECDSA, 0); #endif + add_identity_file(options, "~/", + _PATH_SSH_CLIENT_ID_ED25519, 0); } } if (options->escape_char == -1) diff --git a/sc25519.c b/sc25519.c new file mode 100644 index 000000000..1daefd11d --- /dev/null +++ b/sc25519.c @@ -0,0 +1,302 @@ +/* $OpenBSD: */ + +/* Public Domain, 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/sc25519.h b/sc25519.h new file mode 100644 index 000000000..9537b7688 --- /dev/null +++ b/sc25519.h @@ -0,0 +1,76 @@ +/* $OpenBSD: */ + +/* Public Domain, 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/servconf.c b/servconf.c index 6db89f7c1..9bcd05bf2 100644 --- a/servconf.c +++ b/servconf.c @@ -1,5 +1,5 @@ -/* $OpenBSD: servconf.c,v 1.247 2013/12/05 01:16:41 djm Exp $ */ +/* $OpenBSD: servconf.c,v 1.248 2013/12/06 13:39:49 markus Exp $ */ /* * Copyright (c) 1995 Tatu Ylonen , Espoo, Finland * All rights reserved @@ -180,6 +180,8 @@ fill_default_server_options(ServerOptions *options) options->host_key_files[options->num_host_key_files++] = _PATH_HOST_ECDSA_KEY_FILE; #endif + options->host_key_files[options->num_host_key_files++] = + _PATH_HOST_ED25519_KEY_FILE; } } /* No certificates by default */ diff --git a/ssh-agent.c b/ssh-agent.c index 579ee3840..8210a8e34 100644 --- a/ssh-agent.c +++ b/ssh-agent.c @@ -1,4 +1,4 @@ -/* $OpenBSD: ssh-agent.c,v 1.179 2013/12/06 13:34:54 markus Exp $ */ +/* $OpenBSD: ssh-agent.c,v 1.180 2013/12/06 13:39:49 markus Exp $ */ /* * Author: Tatu Ylonen * Copyright (c) 1995 Tatu Ylonen , Espoo, Finland @@ -484,6 +484,7 @@ process_add_identity(SocketEntry *e, int version) /* Generate additional parameters */ rsa_generate_additional_parameters(k->rsa); + /* enable blinding */ if (RSA_blinding_on(k->rsa, NULL) != 1) { error("process_add_identity: RSA_blinding_on failed"); key_free(k); diff --git a/ssh-ed25519.c b/ssh-ed25519.c new file mode 100644 index 000000000..c03c16346 --- /dev/null +++ b/ssh-ed25519.c @@ -0,0 +1,141 @@ +/* $OpenBSD: ssh-ed25519.c,v 1.1 2013/12/06 13:39:49 markus Exp $ */ +/* + * Copyright (c) 2013 Markus Friedl + * + * Permission to use, copy, modify, and distribute this software for any + * purpose with or without fee is hereby granted, provided that the above + * copyright notice and this permission notice appear in all copies. + * + * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES + * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF + * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR + * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES + * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN + * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF + * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. + */ + +#include + +#include "crypto_api.h" + +#include +#include + +#include "xmalloc.h" +#include "log.h" +#include "buffer.h" +#include "key.h" +#include "ssh.h" + +int +ssh_ed25519_sign(const Key *key, u_char **sigp, u_int *lenp, + const u_char *data, u_int datalen) +{ + u_char *sig; + u_int slen, len; + unsigned long long smlen; + int ret; + Buffer b; + + if (key == NULL || key_type_plain(key->type) != KEY_ED25519 || + key->ed25519_sk == NULL) { + error("%s: no ED25519 key", __func__); + return -1; + } + smlen = slen = datalen + crypto_sign_ed25519_BYTES; + sig = xmalloc(slen); + + if ((ret = crypto_sign_ed25519(sig, &smlen, data, datalen, + key->ed25519_sk)) != 0 || smlen <= datalen) { + error("%s: crypto_sign_ed25519 failed: %d", __func__, ret); + free(sig); + return -1; + } + /* encode signature */ + buffer_init(&b); + buffer_put_cstring(&b, "ssh-ed25519"); + buffer_put_string(&b, sig, smlen - datalen); + len = buffer_len(&b); + if (lenp != NULL) + *lenp = len; + if (sigp != NULL) { + *sigp = xmalloc(len); + memcpy(*sigp, buffer_ptr(&b), len); + } + buffer_free(&b); + memset(sig, 's', slen); + free(sig); + + return 0; +} + +int +ssh_ed25519_verify(const Key *key, const u_char *signature, u_int signaturelen, + const u_char *data, u_int datalen) +{ + Buffer b; + char *ktype; + u_char *sigblob, *sm, *m; + u_int len; + unsigned long long smlen, mlen; + int rlen, ret; + + if (key == NULL || key_type_plain(key->type) != KEY_ED25519 || + key->ed25519_pk == NULL) { + error("%s: no ED25519 key", __func__); + return -1; + } + buffer_init(&b); + buffer_append(&b, signature, signaturelen); + ktype = buffer_get_cstring(&b, NULL); + if (strcmp("ssh-ed25519", ktype) != 0) { + error("%s: cannot handle type %s", __func__, ktype); + buffer_free(&b); + free(ktype); + return -1; + } + free(ktype); + sigblob = buffer_get_string(&b, &len); + rlen = buffer_len(&b); + buffer_free(&b); + if (rlen != 0) { + error("%s: remaining bytes in signature %d", __func__, rlen); + free(sigblob); + return -1; + } + if (len > crypto_sign_ed25519_BYTES) { + error("%s: len %u > crypto_sign_ed25519_BYTES %u", __func__, + len, crypto_sign_ed25519_BYTES); + free(sigblob); + return -1; + } + smlen = len + datalen; + sm = xmalloc(smlen); + memcpy(sm, sigblob, len); + memcpy(sm+len, data, datalen); + mlen = smlen; + m = xmalloc(mlen); + if ((ret = crypto_sign_ed25519_open(m, &mlen, sm, smlen, + key->ed25519_pk)) != 0) { + debug2("%s: crypto_sign_ed25519_open failed: %d", + __func__, ret); + } + if (ret == 0 && mlen != datalen) { + debug2("%s: crypto_sign_ed25519_open " + "mlen != datalen (%llu != %u)", __func__, mlen, datalen); + ret = -1; + } + /* XXX compare 'm' and 'data' ? */ + + memset(sigblob, 's', len); + memset(sm, 'S', smlen); + memset(m, 'm', smlen); /* NB. mlen may be invalid if ret != 0 */ + free(sigblob); + free(sm); + free(m); + debug("%s: signature %scorrect", __func__, (ret != 0) ? "in" : ""); + + /* translate return code carefully */ + return (ret == 0) ? 1 : -1; +} diff --git a/ssh-keygen.c b/ssh-keygen.c index 533eed291..eae83a461 100644 --- a/ssh-keygen.c +++ b/ssh-keygen.c @@ -1,4 +1,4 @@ -/* $OpenBSD: ssh-keygen.c,v 1.237 2013/12/06 13:34:54 markus Exp $ */ +/* $OpenBSD: ssh-keygen.c,v 1.238 2013/12/06 13:39:49 markus Exp $ */ /* * Author: Tatu Ylonen * Copyright (c) 1994 Tatu Ylonen , Espoo, Finland @@ -197,7 +197,7 @@ type_bits_valid(int type, u_int32_t *bitsp) } if (type == KEY_DSA && *bitsp != 1024) fatal("DSA keys must be 1024 bits"); - else if (type != KEY_ECDSA && *bitsp < 768) + else if (type != KEY_ECDSA && type != KEY_ED25519 && *bitsp < 768) fatal("Key must at least be 768 bits"); else if (type == KEY_ECDSA && key_ecdsa_bits_to_nid(*bitsp) == -1) fatal("Invalid ECDSA key length - valid lengths are " @@ -233,6 +233,10 @@ ask_filename(struct passwd *pw, const char *prompt) case KEY_RSA: name = _PATH_SSH_CLIENT_ID_RSA; break; + case KEY_ED25519: + case KEY_ED25519_CERT: + name = _PATH_SSH_CLIENT_ID_ED25519; + break; default: fprintf(stderr, "bad key type\n"); exit(1); @@ -896,6 +900,7 @@ do_gen_all_hostkeys(struct passwd *pw) #ifdef OPENSSL_HAS_ECC { "ecdsa", "ECDSA",_PATH_HOST_ECDSA_KEY_FILE }, #endif + { "ed25519", "ED25519",_PATH_HOST_ED25519_KEY_FILE }, { NULL, NULL, NULL } }; @@ -1611,7 +1616,7 @@ do_ca_sign(struct passwd *pw, int argc, char **argv) if ((public = key_load_public(tmp, &comment)) == NULL) fatal("%s: unable to open \"%s\"", __func__, tmp); if (public->type != KEY_RSA && public->type != KEY_DSA && - public->type != KEY_ECDSA) + public->type != KEY_ECDSA && public->type != KEY_ED25519) fatal("%s: key \"%s\" type %s cannot be certified", __func__, tmp, key_type(public)); diff --git a/ssh-keyscan.1 b/ssh-keyscan.1 index c35ea05e0..79dd6aa1c 100644 --- a/ssh-keyscan.1 +++ b/ssh-keyscan.1 @@ -1,4 +1,4 @@ -.\" $OpenBSD: ssh-keyscan.1,v 1.31 2013/07/16 00:07:52 schwarze Exp $ +.\" $OpenBSD: ssh-keyscan.1,v 1.32 2013/12/06 13:39:49 markus Exp $ .\" .\" Copyright 1995, 1996 by David Mazieres . .\" @@ -6,7 +6,7 @@ .\" permitted provided that due credit is given to the author and the .\" OpenBSD project by leaving this copyright notice intact. .\" -.Dd $Mdocdate: July 16 2013 $ +.Dd $Mdocdate: December 6 2013 $ .Dt SSH-KEYSCAN 1 .Os .Sh NAME @@ -137,6 +137,7 @@ is either .Dq ecdsa-sha2-nistp256 , .Dq ecdsa-sha2-nistp384 , .Dq ecdsa-sha2-nistp521 , +.Dq ssh-ed25519 , .Dq ssh-dss or .Dq ssh-rsa . diff --git a/ssh-keyscan.c b/ssh-keyscan.c index c5f658d77..8d0a6b8d8 100644 --- a/ssh-keyscan.c +++ b/ssh-keyscan.c @@ -1,4 +1,4 @@ -/* $OpenBSD: ssh-keyscan.c,v 1.88 2013/11/02 21:59:15 markus Exp $ */ +/* $OpenBSD: ssh-keyscan.c,v 1.89 2013/12/06 13:39:49 markus Exp $ */ /* * Copyright 1995, 1996 by David Mazieres . * @@ -56,6 +56,7 @@ int ssh_port = SSH_DEFAULT_PORT; #define KT_DSA 2 #define KT_RSA 4 #define KT_ECDSA 8 +#define KT_ED25519 16 int get_keytypes = KT_RSA|KT_ECDSA;/* Get RSA and ECDSA keys by default */ @@ -245,9 +246,11 @@ keygrab_ssh2(con *c) packet_set_connection(c->c_fd, c->c_fd); enable_compat20(); - myproposal[PROPOSAL_SERVER_HOST_KEY_ALGS] = c->c_keytype == KT_DSA? - "ssh-dss" : (c->c_keytype == KT_RSA ? "ssh-rsa" : - "ecdsa-sha2-nistp256,ecdsa-sha2-nistp384,ecdsa-sha2-nistp521"); + myproposal[PROPOSAL_SERVER_HOST_KEY_ALGS] = + c->c_keytype == KT_DSA ? "ssh-dss" : + (c->c_keytype == KT_RSA ? "ssh-rsa" : + (c->c_keytype == KT_ED25519 ? "ssh-ed25519" : + "ecdsa-sha2-nistp256,ecdsa-sha2-nistp384,ecdsa-sha2-nistp521")); c->c_kex = kex_setup(myproposal); c->c_kex->kex[KEX_DH_GRP1_SHA1] = kexdh_client; c->c_kex->kex[KEX_DH_GRP14_SHA1] = kexdh_client; @@ -575,7 +578,7 @@ do_host(char *host) if (name == NULL) return; - for (j = KT_RSA1; j <= KT_ECDSA; j *= 2) { + for (j = KT_RSA1; j <= KT_ED25519; j *= 2) { if (get_keytypes & j) { while (ncon >= MAXCON) conloop(); @@ -682,6 +685,9 @@ main(int argc, char **argv) case KEY_RSA: get_keytypes |= KT_RSA; break; + case KEY_ED25519: + get_keytypes |= KT_ED25519; + break; case KEY_UNSPEC: fatal("unknown key type %s", tname); } diff --git a/ssh-keysign.c b/ssh-keysign.c index 518373bf8..6bde8ad17 100644 --- a/ssh-keysign.c +++ b/ssh-keysign.c @@ -1,4 +1,4 @@ -/* $OpenBSD: ssh-keysign.c,v 1.38 2013/10/14 22:22:04 djm Exp $ */ +/* $OpenBSD: ssh-keysign.c,v 1.39 2013/12/06 13:39:49 markus Exp $ */ /* * Copyright (c) 2002 Markus Friedl. All rights reserved. * @@ -150,7 +150,7 @@ main(int argc, char **argv) { Buffer b; Options options; -#define NUM_KEYTYPES 3 +#define NUM_KEYTYPES 4 Key *keys[NUM_KEYTYPES], *key = NULL; struct passwd *pw; int key_fd[NUM_KEYTYPES], i, found, version = 2, fd; @@ -169,6 +169,7 @@ main(int argc, char **argv) i = 0; key_fd[i++] = open(_PATH_HOST_DSA_KEY_FILE, O_RDONLY); key_fd[i++] = open(_PATH_HOST_ECDSA_KEY_FILE, O_RDONLY); + key_fd[i++] = open(_PATH_HOST_ED25519_KEY_FILE, O_RDONLY); key_fd[i++] = open(_PATH_HOST_RSA_KEY_FILE, O_RDONLY); original_real_uid = getuid(); /* XXX readconf.c needs this */ diff --git a/ssh.c b/ssh.c index 6c8cd7317..543a3bafd 100644 --- a/ssh.c +++ b/ssh.c @@ -1,4 +1,4 @@ -/* $OpenBSD: ssh.c,v 1.395 2013/11/26 12:14:54 jmc Exp $ */ +/* $OpenBSD: ssh.c,v 1.396 2013/12/06 13:39:49 markus Exp $ */ /* * Author: Tatu Ylonen * Copyright (c) 1995 Tatu Ylonen , Espoo, Finland @@ -528,7 +528,11 @@ main(int ac, char **av) else if (strcmp(optarg, "kex") == 0) cp = kex_alg_list('\n'); else if (strcmp(optarg, "key") == 0) - cp = key_alg_list(); + cp = key_alg_list(0, 0); + else if (strcmp(optarg, "key-cert") == 0) + cp = key_alg_list(1, 0); + else if (strcmp(optarg, "key-plain") == 0) + cp = key_alg_list(0, 1); if (cp == NULL) fatal("Unsupported query \"%s\"", optarg); printf("%s\n", cp); @@ -989,7 +993,7 @@ main(int ac, char **av) sensitive_data.external_keysign = 0; if (options.rhosts_rsa_authentication || options.hostbased_authentication) { - sensitive_data.nkeys = 7; + sensitive_data.nkeys = 8; sensitive_data.keys = xcalloc(sensitive_data.nkeys, sizeof(Key)); for (i = 0; i < sensitive_data.nkeys; i++) @@ -1014,13 +1018,16 @@ main(int ac, char **av) #endif sensitive_data.keys[6] = key_load_private_type(KEY_RSA, _PATH_HOST_RSA_KEY_FILE, "", NULL, NULL); + sensitive_data.keys[7] = key_load_private_type(KEY_ED25519, + _PATH_HOST_ED25519_KEY_FILE, "", NULL, NULL); PRIV_END; if (options.hostbased_authentication == 1 && sensitive_data.keys[0] == NULL && sensitive_data.keys[4] == NULL && sensitive_data.keys[5] == NULL && - sensitive_data.keys[6] == NULL) { + sensitive_data.keys[6] == NULL && + sensitive_data.keys[7] == NULL) { sensitive_data.keys[1] = key_load_cert( _PATH_HOST_DSA_KEY_FILE); #ifdef OPENSSL_HAS_ECC @@ -1037,6 +1044,8 @@ main(int ac, char **av) #endif sensitive_data.keys[6] = key_load_public( _PATH_HOST_RSA_KEY_FILE, NULL); + sensitive_data.keys[7] = key_load_public( + _PATH_HOST_ED25519_KEY_FILE, NULL); sensitive_data.external_keysign = 1; } } diff --git a/ssh_config.5 b/ssh_config.5 index 0e6fd8627..43455342a 100644 --- a/ssh_config.5 +++ b/ssh_config.5 @@ -33,8 +33,8 @@ .\" (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF .\" THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. .\" -.\" $OpenBSD: ssh_config.5,v 1.181 2013/11/21 08:05:09 jmc Exp $ -.Dd $Mdocdate: November 21 2013 $ +.\" $OpenBSD: ssh_config.5,v 1.182 2013/12/06 13:39:49 markus Exp $ +.Dd $Mdocdate: December 6 2013 $ .Dt SSH_CONFIG 5 .Os .Sh NAME @@ -721,7 +721,7 @@ ecdsa-sha2-nistp521-cert-v01@openssh.com, ssh-rsa-cert-v01@openssh.com,ssh-dss-cert-v01@openssh.com, ssh-rsa-cert-v00@openssh.com,ssh-dss-cert-v00@openssh.com, ecdsa-sha2-nistp256,ecdsa-sha2-nistp384,ecdsa-sha2-nistp521, -ssh-rsa,ssh-dss +ssh-ed25519,ssh-rsa,ssh-dss .Ed .Pp If hostkeys are known for the destination host then this default is modified diff --git a/sshd.8 b/sshd.8 index b0c7ab6bd..b5d614c50 100644 --- a/sshd.8 +++ b/sshd.8 @@ -33,8 +33,8 @@ .\" (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF .\" THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. .\" -.\" $OpenBSD: sshd.8,v 1.270 2013/06/27 14:05:37 jmc Exp $ -.Dd $Mdocdate: June 27 2013 $ +.\" $OpenBSD: sshd.8,v 1.271 2013/12/06 13:39:49 markus Exp $ +.Dd $Mdocdate: December 6 2013 $ .Dt SSHD 8 .Os .Sh NAME @@ -494,6 +494,7 @@ For protocol version 2 the keytype is .Dq ecdsa-sha2-nistp256 , .Dq ecdsa-sha2-nistp384 , .Dq ecdsa-sha2-nistp521 , +.Dq ssh-ed25519 .Dq ssh-dss or .Dq ssh-rsa . diff --git a/sshd.c b/sshd.c index a53deab3b..786d9ff90 100644 --- a/sshd.c +++ b/sshd.c @@ -1,4 +1,4 @@ -/* $OpenBSD: sshd.c,v 1.411 2013/11/20 02:19:01 djm Exp $ */ +/* $OpenBSD: sshd.c,v 1.412 2013/12/06 13:39:49 markus Exp $ */ /* * Author: Tatu Ylonen * Copyright (c) 1995 Tatu Ylonen , Espoo, Finland @@ -785,6 +785,7 @@ list_hostkey_types(void) case KEY_RSA: case KEY_DSA: case KEY_ECDSA: + case KEY_ED25519: if (buffer_len(&b) > 0) buffer_append(&b, ",", 1); p = key_ssh_name(key); @@ -801,6 +802,7 @@ list_hostkey_types(void) case KEY_RSA_CERT: case KEY_DSA_CERT: case KEY_ECDSA_CERT: + case KEY_ED25519_CERT: if (buffer_len(&b) > 0) buffer_append(&b, ",", 1); p = key_ssh_name(key); @@ -828,6 +830,7 @@ get_hostkey_by_type(int type, int need_private) case KEY_RSA_CERT: case KEY_DSA_CERT: case KEY_ECDSA_CERT: + case KEY_ED25519_CERT: key = sensitive_data.host_certificates[i]; break; default: @@ -1700,6 +1703,7 @@ main(int ac, char **av) case KEY_RSA: case KEY_DSA: case KEY_ECDSA: + case KEY_ED25519: sensitive_data.have_ssh2_key = 1; break; } diff --git a/verify.c b/verify.c new file mode 100644 index 000000000..943e606b5 --- /dev/null +++ b/verify.c @@ -0,0 +1,44 @@ +/* $OpenBSD: */ + +/* Public Domain, from supercop-20130419/crypto_verify/32/ref/verify.c */ + +#include "crypto_api.h" + +int crypto_verify_32(const unsigned char *x,const unsigned char *y) +{ + unsigned int differentbits = 0; +#define F(i) differentbits |= x[i] ^ y[i]; + F(0) + F(1) + F(2) + F(3) + F(4) + F(5) + F(6) + F(7) + F(8) + F(9) + F(10) + F(11) + F(12) + F(13) + F(14) + F(15) + F(16) + F(17) + F(18) + F(19) + F(20) + F(21) + F(22) + F(23) + F(24) + F(25) + F(26) + F(27) + F(28) + F(29) + F(30) + F(31) + return (1 & ((differentbits - 1) >> 8)) - 1; +} -- cgit v1.2.3 From b3051d01e505c9c2dc00faab472a0d06fa6b0e65 Mon Sep 17 00:00:00 2001 From: Damien Miller Date: Fri, 10 Jan 2014 10:58:53 +1100 Subject: - djm@cvs.openbsd.org 2014/01/09 23:20:00 [digest.c digest.h hostfile.c kex.c kex.h kexc25519.c kexc25519c.c] [kexc25519s.c kexdh.c kexecdh.c kexecdhc.c kexecdhs.c kexgex.c kexgexc.c] [kexgexs.c key.c key.h roaming_client.c roaming_common.c schnorr.c] [schnorr.h ssh-dss.c ssh-ecdsa.c ssh-rsa.c sshconnect2.c] Introduce digest API and use it to perform all hashing operations rather than calling OpenSSL EVP_Digest* directly. Will make it easier to build a reduced-feature OpenSSH without OpenSSL in future; feedback, ok markus@ --- ChangeLog | 9 ++++ Makefile.in | 4 +- digest.c | 148 +++++++++++++++++++++++++++++++++++++++++++++++++++++++ digest.h | 55 +++++++++++++++++++++ hostfile.c | 3 +- kex.c | 94 ++++++++++++++++++++--------------- kex.h | 10 ++-- kexc25519.c | 17 +++---- kexc25519c.c | 4 +- kexc25519s.c | 4 +- kexdh.c | 17 +++---- kexecdh.c | 18 +++---- kexecdhc.c | 4 +- kexecdhs.c | 4 +- kexgex.c | 24 ++++----- kexgexc.c | 4 +- kexgexs.c | 4 +- key.c | 42 ++++++++-------- key.h | 4 +- roaming_client.c | 14 +++--- roaming_common.c | 14 +++--- schnorr.c | 57 +++++++++------------ schnorr.h | 8 +-- ssh-dss.c | 31 ++++++------ ssh-ecdsa.c | 42 ++++++++++------ ssh-rsa.c | 54 +++++++++++--------- sshconnect2.c | 4 +- 27 files changed, 458 insertions(+), 235 deletions(-) create mode 100644 digest.c create mode 100644 digest.h (limited to 'key.h') diff --git a/ChangeLog b/ChangeLog index df1d5ea6a..a1d37bc25 100644 --- a/ChangeLog +++ b/ChangeLog @@ -9,6 +9,15 @@ with the year, and rearrange a comparison to avoid a potentional signed arithmetic overflow that would give the wrong result. ok djm@ + - djm@cvs.openbsd.org 2014/01/09 23:20:00 + [digest.c digest.h hostfile.c kex.c kex.h kexc25519.c kexc25519c.c] + [kexc25519s.c kexdh.c kexecdh.c kexecdhc.c kexecdhs.c kexgex.c kexgexc.c] + [kexgexs.c key.c key.h roaming_client.c roaming_common.c schnorr.c] + [schnorr.h ssh-dss.c ssh-ecdsa.c ssh-rsa.c sshconnect2.c] + Introduce digest API and use it to perform all hashing operations + rather than calling OpenSSL EVP_Digest* directly. Will make it easier + to build a reduced-feature OpenSSH without OpenSSL in future; + feedback, ok markus@ 20140108 - (djm) [regress/.cvsignore] Ignore regress test droppings; ok dtucker@ diff --git a/Makefile.in b/Makefile.in index e789b476a..4a930c665 100644 --- a/Makefile.in +++ b/Makefile.in @@ -1,4 +1,4 @@ -# $Id: Makefile.in,v 1.348 2013/12/08 04:53:28 djm Exp $ +# $Id: Makefile.in,v 1.349 2014/01/09 23:58:53 djm Exp $ # uncomment if you run a non bourne compatable shell. Ie. csh #SHELL = @SH@ @@ -75,7 +75,7 @@ LIBSSH_OBJS=authfd.o authfile.o bufaux.o bufbn.o buffer.o \ msg.o progressmeter.o dns.o entropy.o gss-genr.o umac.o umac128.o \ jpake.o schnorr.o ssh-pkcs11.o krl.o smult_curve25519_ref.o \ kexc25519.o kexc25519c.o poly1305.o chacha.o cipher-chachapoly.o \ - ssh-ed25519.o \ + ssh-ed25519.o digest.o \ sc25519.o ge25519.o fe25519.o ed25519.o verify.o hash.o blocks.o \ SSHOBJS= ssh.o readconf.o clientloop.o sshtty.o \ diff --git a/digest.c b/digest.c new file mode 100644 index 000000000..59a8ffe0d --- /dev/null +++ b/digest.c @@ -0,0 +1,148 @@ +/* $OpenBSD: digest.c,v 1.1 2014/01/09 23:20:00 djm Exp $ */ +/* + * Copyright (c) 2013 Damien Miller + * + * Permission to use, copy, modify, and distribute this software for any + * purpose with or without fee is hereby granted, provided that the above + * copyright notice and this permission notice appear in all copies. + * + * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES + * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF + * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR + * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES + * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN + * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF + * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. + */ + +#include "includes.h" + +#include +#include +#include +#include + +#include /* for buffer.h */ +#include /* for buffer.h */ +#include + +#include "buffer.h" +#include "digest.h" + +struct ssh_digest_ctx { + int alg; + EVP_MD_CTX mdctx; +}; + +struct ssh_digest { + int id; + const char *name; + size_t digest_len; + const EVP_MD *(*mdfunc)(void); +}; + +/* NB. Indexed directly by algorithm number */ +const struct ssh_digest digests[] = { + { SSH_DIGEST_MD5, "MD5", 16, EVP_md5 }, + { SSH_DIGEST_RIPEMD160, "RIPEMD160", 20, EVP_ripemd160 }, + { SSH_DIGEST_SHA1, "SHA1", 20, EVP_sha1 }, +#ifdef HAVE_EVP_SHA256 /* XXX replace with local if missing */ + { SSH_DIGEST_SHA256, "SHA256", 32, EVP_sha256 }, + { SSH_DIGEST_SHA384, "SHA384", 48, EVP_sha384 }, + { SSH_DIGEST_SHA512, "SHA512", 64, EVP_sha512 }, +#endif + { -1, NULL, 0, NULL }, +}; + +static const struct ssh_digest * +ssh_digest_by_alg(int alg) +{ + if (alg < 0 || alg >= SSH_DIGEST_MAX) + return NULL; + if (digests[alg].id != alg) /* sanity */ + return NULL; + return &(digests[alg]); +} + +size_t +ssh_digest_bytes(int alg) +{ + const struct ssh_digest *digest = ssh_digest_by_alg(alg); + + return digest == NULL ? 0 : digest->digest_len; +} + +struct ssh_digest_ctx * +ssh_digest_start(int alg) +{ + const struct ssh_digest *digest = ssh_digest_by_alg(alg); + struct ssh_digest_ctx *ret; + + if (digest == NULL || ((ret = calloc(1, sizeof(*ret))) == NULL)) + return NULL; + ret->alg = alg; + EVP_MD_CTX_init(&ret->mdctx); + if (EVP_DigestInit_ex(&ret->mdctx, digest->mdfunc(), NULL) != 1) { + free(ret); + return NULL; + } + return ret; +} + +int +ssh_digest_update(struct ssh_digest_ctx *ctx, const void *m, size_t mlen) +{ + if (EVP_DigestUpdate(&ctx->mdctx, m, mlen) != 1) + return -1; + return 0; +} + +int +ssh_digest_update_buffer(struct ssh_digest_ctx *ctx, const Buffer *b) +{ + return ssh_digest_update(ctx, buffer_ptr(b), buffer_len(b)); +} + +int +ssh_digest_final(struct ssh_digest_ctx *ctx, u_char *d, size_t dlen) +{ + const struct ssh_digest *digest = ssh_digest_by_alg(ctx->alg); + u_int l = dlen; + + if (dlen > UINT_MAX) + return -1; + if (dlen < digest->digest_len) /* No truncation allowed */ + return -1; + if (EVP_DigestFinal_ex(&ctx->mdctx, d, &l) != 1) + return -1; + if (l != digest->digest_len) /* sanity */ + return -1; + return 0; +} + +void +ssh_digest_free(struct ssh_digest_ctx *ctx) +{ + EVP_MD_CTX_cleanup(&ctx->mdctx); + memset(ctx, 0, sizeof(*ctx)); +} + +int +ssh_digest_memory(int alg, const void *m, size_t mlen, u_char *d, size_t dlen) +{ + struct ssh_digest_ctx *ctx = ssh_digest_start(alg); + + if (ctx == NULL) + return -1; + if (ssh_digest_update(ctx, m, mlen) != 0 || + ssh_digest_final(ctx, d, dlen) != 0) + return -1; + ssh_digest_free(ctx); + return 0; +} + +int +ssh_digest_buffer(int alg, const Buffer *b, u_char *d, size_t dlen) +{ + return ssh_digest_memory(alg, buffer_ptr(b), buffer_len(b), d, dlen); +} diff --git a/digest.h b/digest.h new file mode 100644 index 000000000..faefda3f5 --- /dev/null +++ b/digest.h @@ -0,0 +1,55 @@ +/* $OpenBSD: digest.h,v 1.1 2014/01/09 23:20:00 djm Exp $ */ +/* + * Copyright (c) 2013 Damien Miller + * + * Permission to use, copy, modify, and distribute this software for any + * purpose with or without fee is hereby granted, provided that the above + * copyright notice and this permission notice appear in all copies. + * + * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES + * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF + * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR + * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES + * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN + * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF + * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. + */ + +#ifndef _DIGEST_H +#define _DIGEST_H + +/* Maximum digest output length */ +#define SSH_DIGEST_MAX_LENGTH 64 + +/* Digest algorithms */ +#define SSH_DIGEST_MD5 0 +#define SSH_DIGEST_RIPEMD160 1 +#define SSH_DIGEST_SHA1 2 +#define SSH_DIGEST_SHA256 3 +#define SSH_DIGEST_SHA384 4 +#define SSH_DIGEST_SHA512 5 +#define SSH_DIGEST_MAX 6 + +/* Returns the algorithm's digest length in bytes or 0 for invalid algorithm */ +size_t ssh_digest_bytes(int alg); + +/* One-shot API */ +int ssh_digest_memory(int alg, const void *m, size_t mlen, + u_char *d, size_t dlen) + __attribute__((__bounded__(__buffer__, 2, 3))) + __attribute__((__bounded__(__buffer__, 4, 5))); +int ssh_digest_buffer(int alg, const Buffer *b, u_char *d, size_t dlen) + __attribute__((__bounded__(__buffer__, 3, 4))); + +/* Update API */ +struct ssh_digest_ctx; +struct ssh_digest_ctx *ssh_digest_start(int alg); +int ssh_digest_update(struct ssh_digest_ctx *ctx, const void *m, size_t mlen) + __attribute__((__bounded__(__buffer__, 2, 3))); +int ssh_digest_update_buffer(struct ssh_digest_ctx *ctx, const Buffer *b); +int ssh_digest_final(struct ssh_digest_ctx *ctx, u_char *d, size_t dlen) + __attribute__((__bounded__(__buffer__, 2, 3))); +void ssh_digest_free(struct ssh_digest_ctx *ctx); + +#endif /* _DIGEST_H */ + diff --git a/hostfile.c b/hostfile.c index 2ff4c48b4..2778fb5df 100644 --- a/hostfile.c +++ b/hostfile.c @@ -1,4 +1,4 @@ -/* $OpenBSD: hostfile.c,v 1.52 2013/07/12 00:19:58 djm Exp $ */ +/* $OpenBSD: hostfile.c,v 1.53 2014/01/09 23:20:00 djm Exp $ */ /* * Author: Tatu Ylonen * Copyright (c) 1995 Tatu Ylonen , Espoo, Finland @@ -57,6 +57,7 @@ #include "hostfile.h" #include "log.h" #include "misc.h" +#include "digest.h" struct hostkeys { struct hostkey_entry *entries; diff --git a/kex.c b/kex.c index b38bae0f0..dbb1a9816 100644 --- a/kex.c +++ b/kex.c @@ -1,4 +1,4 @@ -/* $OpenBSD: kex.c,v 1.93 2013/11/07 11:58:27 dtucker Exp $ */ +/* $OpenBSD: kex.c,v 1.94 2014/01/09 23:20:00 djm Exp $ */ /* * Copyright (c) 2000, 2001 Markus Friedl. All rights reserved. * @@ -49,6 +49,7 @@ #include "dispatch.h" #include "monitor.h" #include "roaming.h" +#include "digest.h" #if OPENSSL_VERSION_NUMBER >= 0x00907000L # if defined(HAVE_EVP_SHA256) @@ -66,26 +67,30 @@ struct kexalg { char *name; int type; int ec_nid; - const EVP_MD *(*mdfunc)(void); + int hash_alg; }; static const struct kexalg kexalgs[] = { - { KEX_DH1, KEX_DH_GRP1_SHA1, 0, EVP_sha1 }, - { KEX_DH14, KEX_DH_GRP14_SHA1, 0, EVP_sha1 }, - { KEX_DHGEX_SHA1, KEX_DH_GEX_SHA1, 0, EVP_sha1 }, + { KEX_DH1, KEX_DH_GRP1_SHA1, 0, SSH_DIGEST_SHA1 }, + { KEX_DH14, KEX_DH_GRP14_SHA1, 0, SSH_DIGEST_SHA1 }, + { KEX_DHGEX_SHA1, KEX_DH_GEX_SHA1, 0, SSH_DIGEST_SHA1 }, #ifdef HAVE_EVP_SHA256 - { KEX_DHGEX_SHA256, KEX_DH_GEX_SHA256, 0, EVP_sha256 }, + { KEX_DHGEX_SHA256, KEX_DH_GEX_SHA256, 0, SSH_DIGEST_SHA256 }, #endif #ifdef OPENSSL_HAS_ECC - { KEX_ECDH_SHA2_NISTP256, KEX_ECDH_SHA2, NID_X9_62_prime256v1, EVP_sha256 }, - { KEX_ECDH_SHA2_NISTP384, KEX_ECDH_SHA2, NID_secp384r1, EVP_sha384 }, + { KEX_ECDH_SHA2_NISTP256, KEX_ECDH_SHA2, + NID_X9_62_prime256v1, SSH_DIGEST_SHA256 }, + { KEX_ECDH_SHA2_NISTP384, KEX_ECDH_SHA2, NID_secp384r1, + SSH_DIGEST_SHA384 }, # ifdef OPENSSL_HAS_NISTP521 - { KEX_ECDH_SHA2_NISTP521, KEX_ECDH_SHA2, NID_secp521r1, EVP_sha512 }, + { KEX_ECDH_SHA2_NISTP521, KEX_ECDH_SHA2, NID_secp521r1, + SSH_DIGEST_SHA512 }, # endif #endif + { KEX_DH1, KEX_DH_GRP1_SHA1, 0, SSH_DIGEST_SHA1 }, #ifdef HAVE_EVP_SHA256 - { KEX_CURVE25519_SHA256, KEX_C25519_SHA256, 0, EVP_sha256 }, + { KEX_CURVE25519_SHA256, KEX_C25519_SHA256, 0, SSH_DIGEST_SHA256 }, #endif - { NULL, -1, -1, NULL}, + { NULL, -1, -1, -1}, }; char * @@ -406,7 +411,7 @@ choose_kex(Kex *k, char *client, char *server) if ((kexalg = kex_alg_by_name(k->name)) == NULL) fatal("unsupported kex alg %s", k->name); k->kex_type = kexalg->type; - k->evp_md = kexalg->mdfunc(); + k->hash_alg = kexalg->hash_alg; k->ec_nid = kexalg->ec_nid; } @@ -532,27 +537,31 @@ derive_key(Kex *kex, int id, u_int need, u_char *hash, u_int hashlen, BIGNUM *shared_secret) { Buffer b; - EVP_MD_CTX md; + struct ssh_digest_ctx *hashctx; char c = id; u_int have; - int mdsz; + size_t mdsz; u_char *digest; - if ((mdsz = EVP_MD_size(kex->evp_md)) <= 0) - fatal("bad kex md size %d", mdsz); + if ((mdsz = ssh_digest_bytes(kex->hash_alg)) == 0) + fatal("bad kex md size %zu", mdsz); digest = xmalloc(roundup(need, mdsz)); buffer_init(&b); buffer_put_bignum2(&b, shared_secret); /* K1 = HASH(K || H || "A" || session_id) */ - EVP_DigestInit(&md, kex->evp_md); - if (!(datafellows & SSH_BUG_DERIVEKEY)) - EVP_DigestUpdate(&md, buffer_ptr(&b), buffer_len(&b)); - EVP_DigestUpdate(&md, hash, hashlen); - EVP_DigestUpdate(&md, &c, 1); - EVP_DigestUpdate(&md, kex->session_id, kex->session_id_len); - EVP_DigestFinal(&md, digest, NULL); + if ((hashctx = ssh_digest_start(kex->hash_alg)) == NULL) + fatal("%s: ssh_digest_start failed", __func__); + if (ssh_digest_update_buffer(hashctx, &b) != 0 || + ssh_digest_update(hashctx, hash, hashlen) != 0 || + ssh_digest_update(hashctx, &c, 1) != 0 || + ssh_digest_update(hashctx, kex->session_id, + kex->session_id_len) != 0) + fatal("%s: ssh_digest_update failed", __func__); + if (ssh_digest_final(hashctx, digest, mdsz) != 0) + fatal("%s: ssh_digest_final failed", __func__); + ssh_digest_free(hashctx); /* * expand key: @@ -560,12 +569,15 @@ derive_key(Kex *kex, int id, u_int need, u_char *hash, u_int hashlen, * Key = K1 || K2 || ... || Kn */ for (have = mdsz; need > have; have += mdsz) { - EVP_DigestInit(&md, kex->evp_md); - if (!(datafellows & SSH_BUG_DERIVEKEY)) - EVP_DigestUpdate(&md, buffer_ptr(&b), buffer_len(&b)); - EVP_DigestUpdate(&md, hash, hashlen); - EVP_DigestUpdate(&md, digest, have); - EVP_DigestFinal(&md, digest + have, NULL); + if ((hashctx = ssh_digest_start(kex->hash_alg)) == NULL) + fatal("%s: ssh_digest_start failed", __func__); + if (ssh_digest_update_buffer(hashctx, &b) != 0 || + ssh_digest_update(hashctx, hash, hashlen) != 0 || + ssh_digest_update(hashctx, digest, have) != 0) + fatal("%s: ssh_digest_update failed", __func__); + if (ssh_digest_final(hashctx, digest + have, mdsz) != 0) + fatal("%s: ssh_digest_final failed", __func__); + ssh_digest_free(hashctx); } buffer_free(&b); #ifdef DEBUG_KEX @@ -615,33 +627,33 @@ void derive_ssh1_session_id(BIGNUM *host_modulus, BIGNUM *server_modulus, u_int8_t cookie[8], u_int8_t id[16]) { - const EVP_MD *evp_md = EVP_md5(); - EVP_MD_CTX md; - u_int8_t nbuf[2048], obuf[EVP_MAX_MD_SIZE]; + u_int8_t nbuf[2048], obuf[SSH_DIGEST_MAX_LENGTH]; int len; + struct ssh_digest_ctx *hashctx; - EVP_DigestInit(&md, evp_md); + if ((hashctx = ssh_digest_start(SSH_DIGEST_MD5)) == NULL) + fatal("%s: ssh_digest_start", __func__); len = BN_num_bytes(host_modulus); if (len < (512 / 8) || (u_int)len > sizeof(nbuf)) fatal("%s: bad host modulus (len %d)", __func__, len); BN_bn2bin(host_modulus, nbuf); - EVP_DigestUpdate(&md, nbuf, len); + if (ssh_digest_update(hashctx, nbuf, len) != 0) + fatal("%s: ssh_digest_update failed", __func__); len = BN_num_bytes(server_modulus); if (len < (512 / 8) || (u_int)len > sizeof(nbuf)) fatal("%s: bad server modulus (len %d)", __func__, len); BN_bn2bin(server_modulus, nbuf); - EVP_DigestUpdate(&md, nbuf, len); - - EVP_DigestUpdate(&md, cookie, 8); - - EVP_DigestFinal(&md, obuf, NULL); - memcpy(id, obuf, 16); + if (ssh_digest_update(hashctx, nbuf, len) != 0 || + ssh_digest_update(hashctx, cookie, 8) != 0) + fatal("%s: ssh_digest_update failed", __func__); + if (ssh_digest_final(hashctx, obuf, sizeof(obuf)) != 0) + fatal("%s: ssh_digest_final failed", __func__); + memcpy(id, obuf, ssh_digest_bytes(SSH_DIGEST_MD5)); memset(nbuf, 0, sizeof(nbuf)); memset(obuf, 0, sizeof(obuf)); - memset(&md, 0, sizeof(md)); } #if defined(DEBUG_KEX) || defined(DEBUG_KEXDH) || defined(DEBUG_KEXECDH) diff --git a/kex.h b/kex.h index 800a69233..fbe4940e8 100644 --- a/kex.h +++ b/kex.h @@ -1,4 +1,4 @@ -/* $OpenBSD: kex.h,v 1.58 2013/11/07 11:58:27 dtucker Exp $ */ +/* $OpenBSD: kex.h,v 1.59 2014/01/09 23:20:00 djm Exp $ */ /* * Copyright (c) 2000, 2001 Markus Friedl. All rights reserved. @@ -133,7 +133,7 @@ struct Kex { Buffer peer; sig_atomic_t done; int flags; - const EVP_MD *evp_md; + int hash_alg; int ec_nid; char *client_version_string; char *server_version_string; @@ -170,17 +170,17 @@ void kex_dh_hash(char *, char *, char *, int, char *, int, u_char *, int, BIGNUM *, BIGNUM *, BIGNUM *, u_char **, u_int *); void -kexgex_hash(const EVP_MD *, char *, char *, char *, int, char *, +kexgex_hash(int, char *, char *, char *, int, char *, int, u_char *, int, int, int, int, BIGNUM *, BIGNUM *, BIGNUM *, BIGNUM *, BIGNUM *, u_char **, u_int *); #ifdef OPENSSL_HAS_ECC void -kex_ecdh_hash(const EVP_MD *, const EC_GROUP *, char *, char *, char *, int, +kex_ecdh_hash(int, const EC_GROUP *, char *, char *, char *, int, char *, int, u_char *, int, const EC_POINT *, const EC_POINT *, const BIGNUM *, u_char **, u_int *); #endif void -kex_c25519_hash(const EVP_MD *, char *, char *, char *, int, +kex_c25519_hash(int, char *, char *, char *, int, char *, int, u_char *, int, const u_char *, const u_char *, const BIGNUM *, u_char **, u_int *); diff --git a/kexc25519.c b/kexc25519.c index 348a7d50d..8dd363991 100644 --- a/kexc25519.c +++ b/kexc25519.c @@ -1,4 +1,4 @@ -/* $OpenBSD: kexc25519.c,v 1.2 2013/11/02 22:02:14 markus Exp $ */ +/* $OpenBSD: kexc25519.c,v 1.3 2014/01/09 23:20:00 djm Exp $ */ /* * Copyright (c) 2001, 2013 Markus Friedl. All rights reserved. * Copyright (c) 2010 Damien Miller. All rights reserved. @@ -41,6 +41,7 @@ #include "cipher.h" #include "kex.h" #include "log.h" +#include "digest.h" extern int crypto_scalarmult_curve25519(u_char a[CURVE25519_SIZE], const u_char b[CURVE25519_SIZE], const u_char c[CURVE25519_SIZE]) @@ -78,7 +79,7 @@ kexc25519_shared_key(const u_char key[CURVE25519_SIZE], void kex_c25519_hash( - const EVP_MD *evp_md, + int hash_alg, char *client_version_string, char *server_version_string, char *ckexinit, int ckexinitlen, @@ -90,8 +91,7 @@ kex_c25519_hash( u_char **hash, u_int *hashlen) { Buffer b; - EVP_MD_CTX md; - static u_char digest[EVP_MAX_MD_SIZE]; + static u_char digest[SSH_DIGEST_MAX_LENGTH]; buffer_init(&b); buffer_put_cstring(&b, client_version_string); @@ -113,15 +113,14 @@ kex_c25519_hash( #ifdef DEBUG_KEX buffer_dump(&b); #endif - EVP_DigestInit(&md, evp_md); - EVP_DigestUpdate(&md, buffer_ptr(&b), buffer_len(&b)); - EVP_DigestFinal(&md, digest, NULL); + if (ssh_digest_buffer(hash_alg, &b, digest, sizeof(digest)) != 0) + fatal("%s: digest_buffer failed", __func__); buffer_free(&b); #ifdef DEBUG_KEX - dump_digest("hash", digest, EVP_MD_size(evp_md)); + dump_digest("hash", digest, ssh_digest_bytes(hash_alg)); #endif *hash = digest; - *hashlen = EVP_MD_size(evp_md); + *hashlen = ssh_digest_bytes(hash_alg); } diff --git a/kexc25519c.c b/kexc25519c.c index f741566cc..4655c2542 100644 --- a/kexc25519c.c +++ b/kexc25519c.c @@ -1,4 +1,4 @@ -/* $OpenBSD: kexc25519c.c,v 1.2 2013/11/02 22:02:14 markus Exp $ */ +/* $OpenBSD: kexc25519c.c,v 1.3 2014/01/09 23:20:00 djm Exp $ */ /* * Copyright (c) 2001 Markus Friedl. All rights reserved. * Copyright (c) 2010 Damien Miller. All rights reserved. @@ -97,7 +97,7 @@ kexc25519_client(Kex *kex) /* calc and verify H */ kex_c25519_hash( - kex->evp_md, + kex->hash_alg, kex->client_version_string, kex->server_version_string, buffer_ptr(&kex->my), buffer_len(&kex->my), diff --git a/kexc25519s.c b/kexc25519s.c index 784841b82..dc4f56c80 100644 --- a/kexc25519s.c +++ b/kexc25519s.c @@ -1,4 +1,4 @@ -/* $OpenBSD: kexc25519s.c,v 1.2 2013/11/02 22:02:14 markus Exp $ */ +/* $OpenBSD: kexc25519s.c,v 1.3 2014/01/09 23:20:00 djm Exp $ */ /* * Copyright (c) 2001 Markus Friedl. All rights reserved. * Copyright (c) 2010 Damien Miller. All rights reserved. @@ -81,7 +81,7 @@ kexc25519_server(Kex *kex) /* calc H */ key_to_blob(server_host_public, &server_host_key_blob, &sbloblen); kex_c25519_hash( - kex->evp_md, + kex->hash_alg, kex->client_version_string, kex->server_version_string, buffer_ptr(&kex->peer), buffer_len(&kex->peer), diff --git a/kexdh.c b/kexdh.c index 56e22f5bc..e7cdadc90 100644 --- a/kexdh.c +++ b/kexdh.c @@ -1,4 +1,4 @@ -/* $OpenBSD: kexdh.c,v 1.23 2006/08/03 03:34:42 deraadt Exp $ */ +/* $OpenBSD: kexdh.c,v 1.24 2014/01/09 23:20:00 djm Exp $ */ /* * Copyright (c) 2001 Markus Friedl. All rights reserved. * @@ -36,6 +36,8 @@ #include "key.h" #include "cipher.h" #include "kex.h" +#include "digest.h" +#include "log.h" void kex_dh_hash( @@ -50,9 +52,7 @@ kex_dh_hash( u_char **hash, u_int *hashlen) { Buffer b; - static u_char digest[EVP_MAX_MD_SIZE]; - const EVP_MD *evp_md = EVP_sha1(); - EVP_MD_CTX md; + static u_char digest[SSH_DIGEST_MAX_LENGTH]; buffer_init(&b); buffer_put_cstring(&b, client_version_string); @@ -74,15 +74,14 @@ kex_dh_hash( #ifdef DEBUG_KEX buffer_dump(&b); #endif - EVP_DigestInit(&md, evp_md); - EVP_DigestUpdate(&md, buffer_ptr(&b), buffer_len(&b)); - EVP_DigestFinal(&md, digest, NULL); + if (ssh_digest_buffer(SSH_DIGEST_SHA1, &b, digest, sizeof(digest)) != 0) + fatal("%s: ssh_digest_buffer failed", __func__); buffer_free(&b); #ifdef DEBUG_KEX - dump_digest("hash", digest, EVP_MD_size(evp_md)); + dump_digest("hash", digest, ssh_digest_bytes(SSH_DIGEST_SHA1)); #endif *hash = digest; - *hashlen = EVP_MD_size(evp_md); + *hashlen = ssh_digest_bytes(SSH_DIGEST_SHA1); } diff --git a/kexecdh.c b/kexecdh.c index c948fe20a..c52c5e234 100644 --- a/kexecdh.c +++ b/kexecdh.c @@ -1,4 +1,4 @@ -/* $OpenBSD: kexecdh.c,v 1.4 2013/04/19 01:06:50 djm Exp $ */ +/* $OpenBSD: kexecdh.c,v 1.5 2014/01/09 23:20:00 djm Exp $ */ /* * Copyright (c) 2001 Markus Friedl. All rights reserved. * Copyright (c) 2010 Damien Miller. All rights reserved. @@ -44,10 +44,11 @@ #include "cipher.h" #include "kex.h" #include "log.h" +#include "digest.h" void kex_ecdh_hash( - const EVP_MD *evp_md, + int hash_alg, const EC_GROUP *ec_group, char *client_version_string, char *server_version_string, @@ -60,8 +61,7 @@ kex_ecdh_hash( u_char **hash, u_int *hashlen) { Buffer b; - EVP_MD_CTX md; - static u_char digest[EVP_MAX_MD_SIZE]; + static u_char digest[SSH_DIGEST_MAX_LENGTH]; buffer_init(&b); buffer_put_cstring(&b, client_version_string); @@ -83,17 +83,15 @@ kex_ecdh_hash( #ifdef DEBUG_KEX buffer_dump(&b); #endif - EVP_DigestInit(&md, evp_md); - EVP_DigestUpdate(&md, buffer_ptr(&b), buffer_len(&b)); - EVP_DigestFinal(&md, digest, NULL); + if (ssh_digest_buffer(hash_alg, &b, digest, sizeof(digest)) != 0) + fatal("%s: ssh_digest_buffer failed", __func__); buffer_free(&b); #ifdef DEBUG_KEX - dump_digest("hash", digest, EVP_MD_size(evp_md)); + dump_digest("hash", digest, ssh_digest_bytes(hash_alg)); #endif *hash = digest; - *hashlen = EVP_MD_size(evp_md); + *hashlen = ssh_digest_bytes(hash_alg); } - #endif /* OPENSSL_HAS_ECC */ diff --git a/kexecdhc.c b/kexecdhc.c index 6193836c7..fc62cec55 100644 --- a/kexecdhc.c +++ b/kexecdhc.c @@ -1,4 +1,4 @@ -/* $OpenBSD: kexecdhc.c,v 1.4 2013/05/17 00:13:13 djm Exp $ */ +/* $OpenBSD: kexecdhc.c,v 1.5 2014/01/09 23:20:00 djm Exp $ */ /* * Copyright (c) 2001 Markus Friedl. All rights reserved. * Copyright (c) 2010 Damien Miller. All rights reserved. @@ -124,7 +124,7 @@ kexecdh_client(Kex *kex) /* calc and verify H */ kex_ecdh_hash( - kex->evp_md, + kex->hash_alg, group, kex->client_version_string, kex->server_version_string, diff --git a/kexecdhs.c b/kexecdhs.c index 431fd2c2c..d1dd8c7fb 100644 --- a/kexecdhs.c +++ b/kexecdhs.c @@ -1,4 +1,4 @@ -/* $OpenBSD: kexecdhs.c,v 1.7 2013/11/02 22:24:24 markus Exp $ */ +/* $OpenBSD: kexecdhs.c,v 1.8 2014/01/09 23:20:00 djm Exp $ */ /* * Copyright (c) 2001 Markus Friedl. All rights reserved. * Copyright (c) 2010 Damien Miller. All rights reserved. @@ -109,7 +109,7 @@ kexecdh_server(Kex *kex) /* calc H */ key_to_blob(server_host_public, &server_host_key_blob, &sbloblen); kex_ecdh_hash( - kex->evp_md, + kex->hash_alg, group, kex->client_version_string, kex->server_version_string, diff --git a/kexgex.c b/kexgex.c index b60ab5c53..c2e6bc16d 100644 --- a/kexgex.c +++ b/kexgex.c @@ -1,4 +1,4 @@ -/* $OpenBSD: kexgex.c,v 1.27 2006/08/03 03:34:42 deraadt Exp $ */ +/* $OpenBSD: kexgex.c,v 1.28 2014/01/09 23:20:00 djm Exp $ */ /* * Copyright (c) 2000 Niels Provos. All rights reserved. * Copyright (c) 2001 Markus Friedl. All rights reserved. @@ -36,10 +36,12 @@ #include "cipher.h" #include "kex.h" #include "ssh2.h" +#include "digest.h" +#include "log.h" void kexgex_hash( - const EVP_MD *evp_md, + int hash_alg, char *client_version_string, char *server_version_string, char *ckexinit, int ckexinitlen, @@ -52,8 +54,7 @@ kexgex_hash( u_char **hash, u_int *hashlen) { Buffer b; - static u_char digest[EVP_MAX_MD_SIZE]; - EVP_MD_CTX md; + static u_char digest[SSH_DIGEST_MAX_LENGTH]; buffer_init(&b); buffer_put_cstring(&b, client_version_string); @@ -84,15 +85,14 @@ kexgex_hash( #ifdef DEBUG_KEXDH buffer_dump(&b); #endif - - EVP_DigestInit(&md, evp_md); - EVP_DigestUpdate(&md, buffer_ptr(&b), buffer_len(&b)); - EVP_DigestFinal(&md, digest, NULL); + if (ssh_digest_buffer(hash_alg, &b, digest, sizeof(digest)) != 0) + fatal("%s: ssh_digest_buffer failed", __func__); buffer_free(&b); - *hash = digest; - *hashlen = EVP_MD_size(evp_md); -#ifdef DEBUG_KEXDH - dump_digest("hash", digest, *hashlen); + +#ifdef DEBUG_KEX + dump_digest("hash", digest, ssh_digest_bytes(hash_alg)); #endif + *hash = digest; + *hashlen = ssh_digest_bytes(hash_alg); } diff --git a/kexgexc.c b/kexgexc.c index 5a3be2005..ca771edfe 100644 --- a/kexgexc.c +++ b/kexgexc.c @@ -1,4 +1,4 @@ -/* $OpenBSD: kexgexc.c,v 1.13 2013/05/17 00:13:13 djm Exp $ */ +/* $OpenBSD: kexgexc.c,v 1.14 2014/01/09 23:20:00 djm Exp $ */ /* * Copyright (c) 2000 Niels Provos. All rights reserved. * Copyright (c) 2001 Markus Friedl. All rights reserved. @@ -170,7 +170,7 @@ kexgex_client(Kex *kex) /* calc and verify H */ kexgex_hash( - kex->evp_md, + kex->hash_alg, kex->client_version_string, kex->server_version_string, buffer_ptr(&kex->my), buffer_len(&kex->my), diff --git a/kexgexs.c b/kexgexs.c index 4e473fc73..90853403e 100644 --- a/kexgexs.c +++ b/kexgexs.c @@ -1,4 +1,4 @@ -/* $OpenBSD: kexgexs.c,v 1.16 2013/07/19 07:37:48 markus Exp $ */ +/* $OpenBSD: kexgexs.c,v 1.17 2014/01/09 23:20:00 djm Exp $ */ /* * Copyright (c) 2000 Niels Provos. All rights reserved. * Copyright (c) 2001 Markus Friedl. All rights reserved. @@ -160,7 +160,7 @@ kexgex_server(Kex *kex) /* calc H */ kexgex_hash( - kex->evp_md, + kex->hash_alg, kex->client_version_string, kex->server_version_string, buffer_ptr(&kex->peer), buffer_len(&kex->peer), diff --git a/key.c b/key.c index b0bb46f3d..914233808 100644 --- a/key.c +++ b/key.c @@ -1,4 +1,4 @@ -/* $OpenBSD: key.c,v 1.114 2013/12/29 04:20:04 djm Exp $ */ +/* $OpenBSD: key.c,v 1.115 2014/01/09 23:20:00 djm Exp $ */ /* * read_bignum(): * Copyright (c) 1995 Tatu Ylonen , Espoo, Finland @@ -56,6 +56,7 @@ #include "log.h" #include "misc.h" #include "ssh2.h" +#include "digest.h" static int to_blob(const Key *, u_char **, u_int *, int); static Key *key_from_blob2(const u_char *, u_int, int); @@ -358,30 +359,26 @@ u_char* key_fingerprint_raw(const Key *k, enum fp_type dgst_type, u_int *dgst_raw_length) { - const EVP_MD *md = NULL; - EVP_MD_CTX ctx; u_char *blob = NULL; u_char *retval = NULL; u_int len = 0; - int nlen, elen; + int nlen, elen, hash_alg = -1; *dgst_raw_length = 0; + /* XXX switch to DIGEST_* directly? */ switch (dgst_type) { case SSH_FP_MD5: - md = EVP_md5(); + hash_alg = SSH_DIGEST_MD5; break; case SSH_FP_SHA1: - md = EVP_sha1(); + hash_alg = SSH_DIGEST_SHA1; break; -#ifdef HAVE_EVP_SHA256 case SSH_FP_SHA256: - md = EVP_sha256(); + hash_alg = SSH_DIGEST_SHA256; break; -#endif default: - fatal("key_fingerprint_raw: bad digest type %d", - dgst_type); + fatal("%s: bad digest type %d", __func__, dgst_type); } switch (k->type) { case KEY_RSA1: @@ -410,18 +407,19 @@ key_fingerprint_raw(const Key *k, enum fp_type dgst_type, case KEY_UNSPEC: return retval; default: - fatal("key_fingerprint_raw: bad key type %d", k->type); + fatal("%s: bad key type %d", __func__, k->type); break; } if (blob != NULL) { - retval = xmalloc(EVP_MAX_MD_SIZE); - EVP_DigestInit(&ctx, md); - EVP_DigestUpdate(&ctx, blob, len); - EVP_DigestFinal(&ctx, retval, dgst_raw_length); + retval = xmalloc(SSH_DIGEST_MAX_LENGTH); + if ((ssh_digest_memory(hash_alg, blob, len, + retval, SSH_DIGEST_MAX_LENGTH)) != 0) + fatal("%s: digest_memory failed", __func__); memset(blob, 0, len); free(blob); + *dgst_raw_length = ssh_digest_bytes(hash_alg); } else { - fatal("key_fingerprint_raw: blob is null"); + fatal("%s: blob is null", __func__); } return retval; } @@ -2211,8 +2209,8 @@ key_curve_nid_to_name(int nid) } #ifdef OPENSSL_HAS_ECC -const EVP_MD * -key_ec_nid_to_evpmd(int nid) +int +key_ec_nid_to_hash_alg(int nid) { int kbits = key_curve_nid_to_bits(nid); @@ -2220,11 +2218,11 @@ key_ec_nid_to_evpmd(int nid) fatal("%s: invalid nid %d", __func__, nid); /* RFC5656 section 6.2.1 */ if (kbits <= 256) - return EVP_sha256(); + return SSH_DIGEST_SHA256; else if (kbits <= 384) - return EVP_sha384(); + return SSH_DIGEST_SHA384; else - return EVP_sha512(); + return SSH_DIGEST_SHA512; } int diff --git a/key.h b/key.h index 6a049d277..d8ad13d08 100644 --- a/key.h +++ b/key.h @@ -1,4 +1,4 @@ -/* $OpenBSD: key.h,v 1.40 2013/12/06 13:39:49 markus Exp $ */ +/* $OpenBSD: key.h,v 1.41 2014/01/09 23:20:00 djm Exp $ */ /* * Copyright (c) 2000, 2001 Markus Friedl. All rights reserved. @@ -131,7 +131,7 @@ u_int key_curve_nid_to_bits(int); int key_ecdsa_bits_to_nid(int); #ifdef OPENSSL_HAS_ECC int key_ecdsa_key_to_nid(EC_KEY *); -const EVP_MD *key_ec_nid_to_evpmd(int nid); +int key_ec_nid_to_hash_alg(int nid); int key_ec_validate_public(const EC_GROUP *, const EC_POINT *); int key_ec_validate_private(const EC_KEY *); #endif diff --git a/roaming_client.c b/roaming_client.c index 2fb623121..de049cdc1 100644 --- a/roaming_client.c +++ b/roaming_client.c @@ -1,4 +1,4 @@ -/* $OpenBSD: roaming_client.c,v 1.6 2013/10/16 02:31:46 djm Exp $ */ +/* $OpenBSD: roaming_client.c,v 1.7 2014/01/09 23:20:00 djm Exp $ */ /* * Copyright (c) 2004-2009 AppGate Network Security AB * @@ -48,6 +48,7 @@ #include "roaming.h" #include "ssh2.h" #include "sshconnect.h" +#include "digest.h" /* import */ extern Options options; @@ -90,10 +91,8 @@ request_roaming(void) static void roaming_auth_required(void) { - u_char digest[SHA_DIGEST_LENGTH]; - EVP_MD_CTX md; + u_char digest[SSH_DIGEST_MAX_LENGTH]; Buffer b; - const EVP_MD *evp_md = EVP_sha1(); u_int64_t chall, oldchall; chall = packet_get_int64(); @@ -107,14 +106,13 @@ roaming_auth_required(void) buffer_init(&b); buffer_put_int64(&b, cookie); buffer_put_int64(&b, chall); - EVP_DigestInit(&md, evp_md); - EVP_DigestUpdate(&md, buffer_ptr(&b), buffer_len(&b)); - EVP_DigestFinal(&md, digest, NULL); + if (ssh_digest_buffer(SSH_DIGEST_SHA1, &b, digest, sizeof(digest)) != 0) + fatal("%s: ssh_digest_buffer failed", __func__); buffer_free(&b); packet_start(SSH2_MSG_KEX_ROAMING_AUTH); packet_put_int64(key1 ^ get_recv_bytes()); - packet_put_raw(digest, sizeof(digest)); + packet_put_raw(digest, ssh_digest_bytes(SSH_DIGEST_SHA1)); packet_send(); oldkey1 = key1; diff --git a/roaming_common.c b/roaming_common.c index 86b3372ef..787bef04a 100644 --- a/roaming_common.c +++ b/roaming_common.c @@ -1,4 +1,4 @@ -/* $OpenBSD: roaming_common.c,v 1.11 2013/11/03 10:37:19 djm Exp $ */ +/* $OpenBSD: roaming_common.c,v 1.12 2014/01/09 23:20:00 djm Exp $ */ /* * Copyright (c) 2004-2009 AppGate Network Security AB * @@ -36,6 +36,7 @@ #include "cipher.h" #include "buffer.h" #include "roaming.h" +#include "digest.h" static size_t out_buf_size = 0; static char *out_buf = NULL; @@ -225,9 +226,7 @@ resend_bytes(int fd, u_int64_t *offset) void calculate_new_key(u_int64_t *key, u_int64_t cookie, u_int64_t challenge) { - const EVP_MD *md = EVP_sha1(); - EVP_MD_CTX ctx; - u_char hash[EVP_MAX_MD_SIZE]; + u_char hash[SSH_DIGEST_MAX_LENGTH]; Buffer b; buffer_init(&b); @@ -235,12 +234,11 @@ calculate_new_key(u_int64_t *key, u_int64_t cookie, u_int64_t challenge) buffer_put_int64(&b, cookie); buffer_put_int64(&b, challenge); - EVP_DigestInit(&ctx, md); - EVP_DigestUpdate(&ctx, buffer_ptr(&b), buffer_len(&b)); - EVP_DigestFinal(&ctx, hash, NULL); + if (ssh_digest_buffer(SSH_DIGEST_SHA1, &b, hash, sizeof(hash)) != 0) + fatal("%s: digest_buffer failed", __func__); buffer_clear(&b); - buffer_append(&b, hash, EVP_MD_size(md)); + buffer_append(&b, hash, ssh_digest_bytes(SSH_DIGEST_SHA1)); *key = buffer_get_int64(&b); buffer_free(&b); } diff --git a/schnorr.c b/schnorr.c index 93822fed4..aa3a57770 100644 --- a/schnorr.c +++ b/schnorr.c @@ -1,4 +1,4 @@ -/* $OpenBSD: schnorr.c,v 1.8 2013/11/08 00:39:15 djm Exp $ */ +/* $OpenBSD: schnorr.c,v 1.9 2014/01/09 23:20:00 djm Exp $ */ /* * Copyright (c) 2008 Damien Miller. All rights reserved. * @@ -41,6 +41,7 @@ #include "log.h" #include "schnorr.h" +#include "digest.h" #include "openbsd-compat/openssl-compat.h" @@ -57,12 +58,12 @@ /* * Calculate hash component of Schnorr signature H(g || g^v || g^x || id) - * using the hash function defined by "evp_md". Returns signature as + * using the hash function defined by "hash_alg". Returns signature as * bignum or NULL on error. */ static BIGNUM * schnorr_hash(const BIGNUM *p, const BIGNUM *q, const BIGNUM *g, - const EVP_MD *evp_md, const BIGNUM *g_v, const BIGNUM *g_x, + int hash_alg, const BIGNUM *g_v, const BIGNUM *g_x, const u_char *id, u_int idlen) { u_char *digest; @@ -88,7 +89,7 @@ schnorr_hash(const BIGNUM *p, const BIGNUM *q, const BIGNUM *g, SCHNORR_DEBUG_BUF((buffer_ptr(&b), buffer_len(&b), "%s: hashblob", __func__)); - if (hash_buffer(buffer_ptr(&b), buffer_len(&b), evp_md, + if (hash_buffer(buffer_ptr(&b), buffer_len(&b), hash_alg, &digest, &digest_len) != 0) { error("%s: hash_buffer", __func__); goto out; @@ -113,7 +114,7 @@ schnorr_hash(const BIGNUM *p, const BIGNUM *q, const BIGNUM *g, /* * Generate Schnorr signature to prove knowledge of private value 'x' used * in public exponent g^x, under group defined by 'grp_p', 'grp_q' and 'grp_g' - * using the hash function "evp_md". + * using the hash function "hash_alg". * 'idlen' bytes from 'id' will be included in the signature hash as an anti- * replay salt. * @@ -123,7 +124,7 @@ schnorr_hash(const BIGNUM *p, const BIGNUM *q, const BIGNUM *g, */ int schnorr_sign(const BIGNUM *grp_p, const BIGNUM *grp_q, const BIGNUM *grp_g, - const EVP_MD *evp_md, const BIGNUM *x, const BIGNUM *g_x, + int hash_alg, const BIGNUM *x, const BIGNUM *g_x, const u_char *id, u_int idlen, BIGNUM **r_p, BIGNUM **e_p) { int success = -1; @@ -173,7 +174,7 @@ schnorr_sign(const BIGNUM *grp_p, const BIGNUM *grp_q, const BIGNUM *grp_g, SCHNORR_DEBUG_BN((g_v, "%s: g_v = ", __func__)); /* h = H(g || g^v || g^x || id) */ - if ((h = schnorr_hash(grp_p, grp_q, grp_g, evp_md, g_v, g_x, + if ((h = schnorr_hash(grp_p, grp_q, grp_g, hash_alg, g_v, g_x, id, idlen)) == NULL) { error("%s: schnorr_hash failed", __func__); goto out; @@ -223,7 +224,7 @@ schnorr_sign_buf(const BIGNUM *grp_p, const BIGNUM *grp_q, const BIGNUM *grp_g, Buffer b; BIGNUM *r, *e; - if (schnorr_sign(grp_p, grp_q, grp_g, EVP_sha256(), + if (schnorr_sign(grp_p, grp_q, grp_g, SSH_DIGEST_SHA256, x, g_x, id, idlen, &r, &e) != 0) return -1; @@ -248,13 +249,13 @@ schnorr_sign_buf(const BIGNUM *grp_p, const BIGNUM *grp_q, const BIGNUM *grp_g, /* * Verify Schnorr signature { r (v - xh mod q), e (g^v mod p) } against * public exponent g_x (g^x) under group defined by 'grp_p', 'grp_q' and - * 'grp_g' using hash "evp_md". + * 'grp_g' using hash "hash_alg". * Signature hash will be salted with 'idlen' bytes from 'id'. * Returns -1 on failure, 0 on incorrect signature or 1 on matching signature. */ int schnorr_verify(const BIGNUM *grp_p, const BIGNUM *grp_q, const BIGNUM *grp_g, - const EVP_MD *evp_md, const BIGNUM *g_x, const u_char *id, u_int idlen, + int hash_alg, const BIGNUM *g_x, const u_char *id, u_int idlen, const BIGNUM *r, const BIGNUM *e) { int success = -1; @@ -302,7 +303,7 @@ schnorr_verify(const BIGNUM *grp_p, const BIGNUM *grp_q, const BIGNUM *grp_g, SCHNORR_DEBUG_BN((g_xh, "%s: g_xh = ", __func__)); /* h = H(g || g^v || g^x || id) */ - if ((h = schnorr_hash(grp_p, grp_q, grp_g, evp_md, e, g_x, + if ((h = schnorr_hash(grp_p, grp_q, grp_g, hash_alg, e, g_x, id, idlen)) == NULL) { error("%s: schnorr_hash failed", __func__); goto out; @@ -385,7 +386,7 @@ schnorr_verify_buf(const BIGNUM *grp_p, const BIGNUM *grp_q, goto out; } - ret = schnorr_verify(grp_p, grp_q, grp_g, EVP_sha256(), + ret = schnorr_verify(grp_p, grp_q, grp_g, SSH_DIGEST_SHA256, g_x, id, idlen, r, e); out: BN_clear_free(e); @@ -443,43 +444,33 @@ bn_rand_range_gt_one(const BIGNUM *high) return NULL; } +/* XXX convert all callers of this to use ssh_digest_memory() directly */ /* * Hash contents of buffer 'b' with hash 'md'. Returns 0 on success, * with digest via 'digestp' (caller to free) and length via 'lenp'. * Returns -1 on failure. */ int -hash_buffer(const u_char *buf, u_int len, const EVP_MD *md, +hash_buffer(const u_char *buf, u_int len, int hash_alg, u_char **digestp, u_int *lenp) { - u_char digest[EVP_MAX_MD_SIZE]; - u_int digest_len; - EVP_MD_CTX evp_md_ctx; - int success = -1; + u_char digest[SSH_DIGEST_MAX_LENGTH]; + u_int digest_len = ssh_digest_bytes(hash_alg); - EVP_MD_CTX_init(&evp_md_ctx); - - if (EVP_DigestInit_ex(&evp_md_ctx, md, NULL) != 1) { - error("%s: EVP_DigestInit_ex", __func__); - goto out; - } - if (EVP_DigestUpdate(&evp_md_ctx, buf, len) != 1) { - error("%s: EVP_DigestUpdate", __func__); - goto out; + if (digest_len == 0) { + error("%s: invalid hash", __func__); + return -1; } - if (EVP_DigestFinal_ex(&evp_md_ctx, digest, &digest_len) != 1) { - error("%s: EVP_DigestFinal_ex", __func__); - goto out; + if (ssh_digest_memory(hash_alg, buf, len, digest, digest_len) != 0) { + error("%s: digest_memory failed", __func__); + return -1; } *digestp = xmalloc(digest_len); *lenp = digest_len; memcpy(*digestp, digest, *lenp); - success = 0; - out: - EVP_MD_CTX_cleanup(&evp_md_ctx); bzero(digest, sizeof(digest)); digest_len = 0; - return success; + return 0; } /* print formatted string followed by bignum */ diff --git a/schnorr.h b/schnorr.h index 9730b47ce..e2405c102 100644 --- a/schnorr.h +++ b/schnorr.h @@ -1,4 +1,4 @@ -/* $OpenBSD: schnorr.h,v 1.1 2009/03/05 07:18:19 djm Exp $ */ +/* $OpenBSD: schnorr.h,v 1.2 2014/01/09 23:20:00 djm Exp $ */ /* * Copyright (c) 2009 Damien Miller. All rights reserved. * @@ -27,7 +27,7 @@ struct modp_group { }; BIGNUM *bn_rand_range_gt_one(const BIGNUM *high); -int hash_buffer(const u_char *, u_int, const EVP_MD *, u_char **, u_int *); +int hash_buffer(const u_char *, u_int, int, u_char **, u_int *); void debug3_bn(const BIGNUM *, const char *, ...) __attribute__((__nonnull__ (2))) __attribute__((format(printf, 2, 3))); @@ -40,7 +40,7 @@ void modp_group_free(struct modp_group *); /* Signature and verification functions */ int schnorr_sign(const BIGNUM *grp_p, const BIGNUM *grp_q, const BIGNUM *grp_g, - const EVP_MD *evp_md, const BIGNUM *x, const BIGNUM *g_x, + int hash_alg, const BIGNUM *x, const BIGNUM *g_x, const u_char *id, u_int idlen, BIGNUM **r_p, BIGNUM **e_p); int schnorr_sign_buf(const BIGNUM *grp_p, const BIGNUM *grp_q, const BIGNUM *grp_g, @@ -48,7 +48,7 @@ schnorr_sign_buf(const BIGNUM *grp_p, const BIGNUM *grp_q, const BIGNUM *grp_g, u_char **sig, u_int *siglen); int schnorr_verify(const BIGNUM *grp_p, const BIGNUM *grp_q, const BIGNUM *grp_g, - const EVP_MD *evp_md, const BIGNUM *g_x, const u_char *id, u_int idlen, + int hash_alg, const BIGNUM *g_x, const u_char *id, u_int idlen, const BIGNUM *r, const BIGNUM *e); int schnorr_verify_buf(const BIGNUM *grp_p, const BIGNUM *grp_q, diff --git a/ssh-dss.c b/ssh-dss.c index a6292aa84..7b897475c 100644 --- a/ssh-dss.c +++ b/ssh-dss.c @@ -1,4 +1,4 @@ -/* $OpenBSD: ssh-dss.c,v 1.29 2013/12/27 22:30:17 djm Exp $ */ +/* $OpenBSD: ssh-dss.c,v 1.30 2014/01/09 23:20:00 djm Exp $ */ /* * Copyright (c) 2000 Markus Friedl. All rights reserved. * @@ -38,6 +38,7 @@ #include "compat.h" #include "log.h" #include "key.h" +#include "digest.h" #define INTBLOB_LEN 20 #define SIGBLOB_LEN (2*INTBLOB_LEN) @@ -47,10 +48,8 @@ ssh_dss_sign(const Key *key, u_char **sigp, u_int *lenp, const u_char *data, u_int datalen) { DSA_SIG *sig; - const EVP_MD *evp_md = EVP_sha1(); - EVP_MD_CTX md; - u_char digest[EVP_MAX_MD_SIZE], sigblob[SIGBLOB_LEN]; - u_int rlen, slen, len, dlen; + u_char digest[SSH_DIGEST_MAX_LENGTH], sigblob[SIGBLOB_LEN]; + u_int rlen, slen, len, dlen = ssh_digest_bytes(SSH_DIGEST_SHA1); Buffer b; if (key == NULL || key_type_plain(key->type) != KEY_DSA || @@ -59,9 +58,11 @@ ssh_dss_sign(const Key *key, u_char **sigp, u_int *lenp, return -1; } - EVP_DigestInit(&md, evp_md); - EVP_DigestUpdate(&md, data, datalen); - EVP_DigestFinal(&md, digest, &dlen); + if (ssh_digest_memory(SSH_DIGEST_SHA1, data, datalen, + digest, sizeof(digest)) != 0) { + error("%s: ssh_digest_memory failed", __func__); + return -1; + } sig = DSA_do_sign(digest, dlen, key->dsa); memset(digest, 'd', sizeof(digest)); @@ -111,10 +112,8 @@ ssh_dss_verify(const Key *key, const u_char *signature, u_int signaturelen, const u_char *data, u_int datalen) { DSA_SIG *sig; - const EVP_MD *evp_md = EVP_sha1(); - EVP_MD_CTX md; - u_char digest[EVP_MAX_MD_SIZE], *sigblob; - u_int len, dlen; + u_char digest[SSH_DIGEST_MAX_LENGTH], *sigblob; + u_int len, dlen = ssh_digest_bytes(SSH_DIGEST_SHA1); int rlen, ret; Buffer b; @@ -173,9 +172,11 @@ ssh_dss_verify(const Key *key, const u_char *signature, u_int signaturelen, free(sigblob); /* sha1 the data */ - EVP_DigestInit(&md, evp_md); - EVP_DigestUpdate(&md, data, datalen); - EVP_DigestFinal(&md, digest, &dlen); + if (ssh_digest_memory(SSH_DIGEST_SHA1, data, datalen, + digest, sizeof(digest)) != 0) { + error("%s: digest_memory failed", __func__); + return -1; + } ret = DSA_do_verify(digest, dlen, sig, key->dsa); memset(digest, 'd', sizeof(digest)); diff --git a/ssh-ecdsa.c b/ssh-ecdsa.c index 52f9e74c0..10ad9da60 100644 --- a/ssh-ecdsa.c +++ b/ssh-ecdsa.c @@ -1,4 +1,4 @@ -/* $OpenBSD: ssh-ecdsa.c,v 1.7 2013/12/27 22:30:17 djm Exp $ */ +/* $OpenBSD: ssh-ecdsa.c,v 1.8 2014/01/09 23:20:00 djm Exp $ */ /* * Copyright (c) 2000 Markus Friedl. All rights reserved. * Copyright (c) 2010 Damien Miller. All rights reserved. @@ -42,15 +42,15 @@ #include "compat.h" #include "log.h" #include "key.h" +#include "digest.h" int ssh_ecdsa_sign(const Key *key, u_char **sigp, u_int *lenp, const u_char *data, u_int datalen) { ECDSA_SIG *sig; - const EVP_MD *evp_md; - EVP_MD_CTX md; - u_char digest[EVP_MAX_MD_SIZE]; + int hash_alg; + u_char digest[SSH_DIGEST_MAX_LENGTH]; u_int len, dlen; Buffer b, bb; @@ -60,10 +60,16 @@ ssh_ecdsa_sign(const Key *key, u_char **sigp, u_int *lenp, return -1; } - evp_md = key_ec_nid_to_evpmd(key->ecdsa_nid); - EVP_DigestInit(&md, evp_md); - EVP_DigestUpdate(&md, data, datalen); - EVP_DigestFinal(&md, digest, &dlen); + hash_alg = key_ec_nid_to_hash_alg(key->ecdsa_nid); + if ((dlen = ssh_digest_bytes(hash_alg)) == 0) { + error("%s: bad hash algorithm %d", __func__, hash_alg); + return -1; + } + if (ssh_digest_memory(hash_alg, data, datalen, + digest, sizeof(digest)) != 0) { + error("%s: digest_memory failed", __func__); + return -1; + } sig = ECDSA_do_sign(digest, dlen, key->ecdsa); memset(digest, 'd', sizeof(digest)); @@ -98,9 +104,8 @@ ssh_ecdsa_verify(const Key *key, const u_char *signature, u_int signaturelen, const u_char *data, u_int datalen) { ECDSA_SIG *sig; - const EVP_MD *evp_md; - EVP_MD_CTX md; - u_char digest[EVP_MAX_MD_SIZE], *sigblob; + int hash_alg; + u_char digest[SSH_DIGEST_MAX_LENGTH], *sigblob; u_int len, dlen; int rlen, ret; Buffer b, bb; @@ -112,8 +117,6 @@ ssh_ecdsa_verify(const Key *key, const u_char *signature, u_int signaturelen, return -1; } - evp_md = key_ec_nid_to_evpmd(key->ecdsa_nid); - /* fetch signature */ buffer_init(&b); buffer_append(&b, signature, signaturelen); @@ -154,9 +157,16 @@ ssh_ecdsa_verify(const Key *key, const u_char *signature, u_int signaturelen, free(sigblob); /* hash the data */ - EVP_DigestInit(&md, evp_md); - EVP_DigestUpdate(&md, data, datalen); - EVP_DigestFinal(&md, digest, &dlen); + hash_alg = key_ec_nid_to_hash_alg(key->ecdsa_nid); + if ((dlen = ssh_digest_bytes(hash_alg)) == 0) { + error("%s: bad hash algorithm %d", __func__, hash_alg); + return -1; + } + if (ssh_digest_memory(hash_alg, data, datalen, + digest, sizeof(digest)) != 0) { + error("%s: digest_memory failed", __func__); + return -1; + } ret = ECDSA_do_verify(digest, dlen, sig, key->ecdsa); memset(digest, 'd', sizeof(digest)); diff --git a/ssh-rsa.c b/ssh-rsa.c index b1ac50b31..a2112d033 100644 --- a/ssh-rsa.c +++ b/ssh-rsa.c @@ -1,4 +1,4 @@ -/* $OpenBSD: ssh-rsa.c,v 1.49 2013/12/30 23:52:27 djm Exp $ */ +/* $OpenBSD: ssh-rsa.c,v 1.50 2014/01/09 23:20:00 djm Exp $ */ /* * Copyright (c) 2000, 2003 Markus Friedl * @@ -32,6 +32,7 @@ #include "compat.h" #include "misc.h" #include "ssh.h" +#include "digest.h" static int openssh_RSA_verify(int, u_char *, u_int, u_char *, u_int, RSA *); @@ -40,9 +41,8 @@ int ssh_rsa_sign(const Key *key, u_char **sigp, u_int *lenp, const u_char *data, u_int datalen) { - const EVP_MD *evp_md; - EVP_MD_CTX md; - u_char digest[EVP_MAX_MD_SIZE], *sig; + int hash_alg; + u_char digest[SSH_DIGEST_MAX_LENGTH], *sig; u_int slen, dlen, len; int ok, nid; Buffer b; @@ -53,14 +53,18 @@ ssh_rsa_sign(const Key *key, u_char **sigp, u_int *lenp, return -1; } + /* hash the data */ + hash_alg = SSH_DIGEST_SHA1; nid = NID_sha1; - if ((evp_md = EVP_get_digestbynid(nid)) == NULL) { - error("%s: EVP_get_digestbynid %d failed", __func__, nid); + if ((dlen = ssh_digest_bytes(hash_alg)) == 0) { + error("%s: bad hash algorithm %d", __func__, hash_alg); + return -1; + } + if (ssh_digest_memory(hash_alg, data, datalen, + digest, sizeof(digest)) != 0) { + error("%s: ssh_digest_memory failed", __func__); return -1; } - EVP_DigestInit(&md, evp_md); - EVP_DigestUpdate(&md, data, datalen); - EVP_DigestFinal(&md, digest, &dlen); slen = RSA_size(key->rsa); sig = xmalloc(slen); @@ -109,12 +113,11 @@ ssh_rsa_verify(const Key *key, const u_char *signature, u_int signaturelen, const u_char *data, u_int datalen) { Buffer b; - const EVP_MD *evp_md; - EVP_MD_CTX md; + int hash_alg; char *ktype; - u_char digest[EVP_MAX_MD_SIZE], *sigblob; + u_char digest[SSH_DIGEST_MAX_LENGTH], *sigblob; u_int len, dlen, modlen; - int rlen, ret, nid; + int rlen, ret; if (key == NULL || key_type_plain(key->type) != KEY_RSA || key->rsa == NULL) { @@ -161,17 +164,20 @@ ssh_rsa_verify(const Key *key, const u_char *signature, u_int signaturelen, memset(sigblob, 0, diff); len = modlen; } - nid = NID_sha1; - if ((evp_md = EVP_get_digestbynid(nid)) == NULL) { - error("%s: EVP_get_digestbynid %d failed", __func__, nid); - free(sigblob); + /* hash the data */ + hash_alg = SSH_DIGEST_SHA1; + if ((dlen = ssh_digest_bytes(hash_alg)) == 0) { + error("%s: bad hash algorithm %d", __func__, hash_alg); + return -1; + } + if (ssh_digest_memory(hash_alg, data, datalen, + digest, sizeof(digest)) != 0) { + error("%s: ssh_digest_memory failed", __func__); return -1; } - EVP_DigestInit(&md, evp_md); - EVP_DigestUpdate(&md, data, datalen); - EVP_DigestFinal(&md, digest, &dlen); - ret = openssh_RSA_verify(nid, digest, dlen, sigblob, len, key->rsa); + ret = openssh_RSA_verify(hash_alg, digest, dlen, sigblob, len, + key->rsa); memset(digest, 'd', sizeof(digest)); memset(sigblob, 's', len); free(sigblob); @@ -198,7 +204,7 @@ static const u_char id_sha1[] = { }; static int -openssh_RSA_verify(int type, u_char *hash, u_int hashlen, +openssh_RSA_verify(int hash_alg, u_char *hash, u_int hashlen, u_char *sigbuf, u_int siglen, RSA *rsa) { u_int ret, rsasize, oidlen = 0, hlen = 0; @@ -207,8 +213,8 @@ openssh_RSA_verify(int type, u_char *hash, u_int hashlen, u_char *decrypted = NULL; ret = 0; - switch (type) { - case NID_sha1: + switch (hash_alg) { + case SSH_DIGEST_SHA1: oid = id_sha1; oidlen = sizeof(id_sha1); hlen = 20; diff --git a/sshconnect2.c b/sshconnect2.c index 0d339b9c5..8acffc5c3 100644 --- a/sshconnect2.c +++ b/sshconnect2.c @@ -1,4 +1,4 @@ -/* $OpenBSD: sshconnect2.c,v 1.200 2013/12/30 23:52:28 djm Exp $ */ +/* $OpenBSD: sshconnect2.c,v 1.201 2014/01/09 23:20:00 djm Exp $ */ /* * Copyright (c) 2000 Markus Friedl. All rights reserved. * Copyright (c) 2008 Damien Miller. All rights reserved. @@ -1006,7 +1006,7 @@ jpake_password_to_secret(Authctxt *authctxt, const char *crypt_scheme, debug3("%s: crypted = %s", __func__, crypted); #endif - if (hash_buffer(crypted, strlen(crypted), EVP_sha256(), + if (hash_buffer(crypted, strlen(crypted), SSH_DIGEST_SHA1, &secret, &secret_len) != 0) fatal("%s: hash_buffer", __func__); -- cgit v1.2.3