rangeproof: add more static test vectors

Fixes #42
This commit is contained in:
Jonas Nick 2022-01-12 12:23:41 +00:00 committed by Andrew Poelstra
parent 310e517061
commit 34876ecb5f
2 changed files with 535 additions and 0 deletions

View File

@ -10,6 +10,15 @@ extern "C" {
#include <stdint.h>
/** Length of a message that can be embedded into a maximally-sized rangeproof
*
* It is not be possible to fit a message of this size into a non-maximally-sized
* rangeproof, but it is guaranteed that any embeddable message can fit into an
* array of this size. This constant is intended to be used for memory allocations
* and sanity checks.
*/
#define SECP256K1_RANGEPROOF_MAX_MESSAGE_LEN 3968
/** Opaque data structure that stores a Pedersen commitment
*
* The exact representation of data inside is implementation defined and not

View File

@ -985,6 +985,531 @@ void test_rangeproof_fixed_vectors(void) {
}
}
static void print_vector_helper(unsigned char *buf, size_t buf_len) {
size_t j;
printf(" ");
for (j = 0; j < buf_len; j++) {
printf("0x%02x", buf[j]);
if (j == buf_len-1) {
printf(",\n");
} else if ((j+1) % 16 != 0) {
printf(", ");
} else {
printf(",\n");
printf(" ");
}
}
printf("};\n");
}
static void print_vector(int i, unsigned char *proof, size_t p_len, secp256k1_pedersen_commitment *commit) {
unsigned char commit_output[33];
printf("unsigned char vector_%d[] = {\n", i);
print_vector_helper(proof, p_len);
CHECK(secp256k1_pedersen_commitment_serialize(ctx, commit_output, commit));
printf("unsigned char commit_%d[] = {\n", i);
print_vector_helper(commit_output, sizeof(commit_output));
}
/* Use same nonce and blinding value for all "reproducible" test vectors */
static unsigned char vector_blind[] = {
0x48, 0x26, 0xad, 0x41, 0x37, 0x4c, 0x25, 0x62, 0x52, 0x14, 0x78, 0x82, 0x89, 0x9c, 0x86, 0x27,
0xa1, 0x19, 0xf6, 0xe1, 0xfa, 0x44, 0xe4, 0x29, 0x08, 0xa7, 0xb3, 0x45, 0xad, 0x35, 0xb2, 0xd9,
};
static unsigned char vector_nonce[] = {
0xc8, 0x5c, 0x7e, 0x6c, 0xa1, 0xfa, 0x11, 0x35, 0xc7, 0x45, 0x24, 0x8a, 0xb5, 0x28, 0x6d, 0x1a,
0x88, 0x00, 0xff, 0xca, 0x96, 0x0f, 0xc7, 0x77, 0xa5, 0x96, 0x7a, 0x5e, 0xf8, 0x88, 0x2d, 0xd4,
};
/* Maximum length of a message that can be embedded into a rangeproof */
void test_rangeproof_fixed_vectors_reproducible_helper(unsigned char *vector, size_t vector_len, unsigned char *commit, uint64_t *value_r, uint64_t *min_value_r, uint64_t *max_value_r, unsigned char *message_r, size_t *m_len_r) {
secp256k1_pedersen_commitment pc;
unsigned char blind_r[32];
CHECK(secp256k1_pedersen_commitment_parse(ctx, &pc, commit));
CHECK(secp256k1_rangeproof_verify(
ctx,
min_value_r, max_value_r,
&pc,
vector, vector_len,
NULL, 0,
secp256k1_generator_h
));
*m_len_r = SECP256K1_RANGEPROOF_MAX_MESSAGE_LEN;
CHECK(secp256k1_rangeproof_rewind(
ctx,
blind_r, value_r,
message_r, m_len_r,
vector_nonce,
min_value_r, max_value_r,
&pc,
vector, vector_len,
NULL, 0,
secp256k1_generator_h
));
CHECK(secp256k1_memcmp_var(blind_r, vector_blind, sizeof(vector_blind)) == 0);
}
void test_rangeproof_fixed_vectors_reproducible(void) {
uint64_t value_r;
uint64_t min_value_r;
uint64_t max_value_r;
unsigned char message[SECP256K1_RANGEPROOF_MAX_MESSAGE_LEN], message_r[SECP256K1_RANGEPROOF_MAX_MESSAGE_LEN];
size_t m_len_r;
memset(message, 0xFF, sizeof(message));
/* Test maximum values for value, min_bits, m_len and exp */
{
uint64_t value = UINT64_MAX;
uint64_t min_value = 0;
size_t m_len = sizeof(message); /* maximum message length */
/* Uncomment this to recreate test vector */
/* int min_bits = 64; */
/* int exp = 18; */
/* unsigned char proof[5126]; */
/* size_t p_len = sizeof(proof); */
/* secp256k1_pedersen_commitment pc; */
/* CHECK(secp256k1_pedersen_commit(ctx, &pc, vector_blind, value, secp256k1_generator_h)); */
/* CHECK(secp256k1_rangeproof_sign(ctx, proof, &p_len, min_value, &pc, vector_blind, vector_nonce, exp, min_bits, value, message, m_len, NULL, 0, secp256k1_generator_h)); */
/* CHECK(p_len == sizeof(proof)); */
/* print_vector(0, proof, p_len, &pc); */
unsigned char vector_0[] = {
0x40, 0x3f, 0xd1, 0x77, 0x65, 0x05, 0x87, 0x88, 0xd0, 0x3d, 0xb2, 0x24, 0x60, 0x7a, 0x08, 0x76,
0xf8, 0x9f, 0x5a, 0x00, 0x73, 0x32, 0x6b, 0x5b, 0x0b, 0x59, 0xda, 0xa0, 0x6d, 0x2b, 0x66, 0xb8,
0xfa, 0xa4, 0x8c, 0xf9, 0x78, 0x5e, 0xe3, 0xc7, 0x30, 0xea, 0xb4, 0x31, 0x77, 0x3a, 0xe4, 0xe3,
0xf0, 0x76, 0x15, 0x21, 0x07, 0xb3, 0x6e, 0x84, 0x36, 0xdb, 0x45, 0xe6, 0x2b, 0x14, 0x50, 0xf3,
0x53, 0x5d, 0x79, 0xf8, 0x6d, 0xc4, 0x99, 0x36, 0xa4, 0x7c, 0xc1, 0x14, 0x90, 0x99, 0xa8, 0x4b,
0xf0, 0x01, 0x9f, 0xe7, 0xd4, 0xf9, 0xf1, 0x74, 0xb0, 0x7f, 0xf5, 0x90, 0x8d, 0x27, 0x9e, 0x61,
0x9e, 0xc5, 0xd0, 0xa6, 0x32, 0xe8, 0x64, 0x4a, 0x02, 0x8b, 0xbf, 0xf7, 0xb8, 0x31, 0xa3, 0x4d,
0x99, 0xbe, 0x12, 0x77, 0x4b, 0x07, 0x4a, 0xef, 0x75, 0xb4, 0xb3, 0x6e, 0x96, 0x95, 0xff, 0xe9,
0xf7, 0xfc, 0x27, 0x17, 0x62, 0xfa, 0x99, 0xed, 0x00, 0x3c, 0xdd, 0xaa, 0xae, 0x9e, 0x80, 0xc1,
0x29, 0x73, 0x4d, 0xfc, 0x41, 0xe6, 0xb4, 0x21, 0xe2, 0x62, 0x78, 0xf5, 0x46, 0xef, 0xcd, 0xcf,
0x15, 0x2a, 0x05, 0x80, 0xb9, 0x95, 0xaa, 0xa5, 0xe9, 0x69, 0x5f, 0xfd, 0x58, 0x12, 0x00, 0x51,
0xc4, 0x8f, 0xa2, 0xce, 0x03, 0x7f, 0x16, 0x19, 0xb1, 0x77, 0xc2, 0x98, 0xbe, 0xaa, 0x18, 0x6a,
0x80, 0x0b, 0x4a, 0x81, 0x85, 0xc0, 0xc2, 0x62, 0xb3, 0xec, 0xae, 0xe7, 0x95, 0xbf, 0xd3, 0xe0,
0xcd, 0xa3, 0xdd, 0x02, 0x70, 0x98, 0x6c, 0xf3, 0x4b, 0x43, 0xec, 0x8d, 0x07, 0xf4, 0x3e, 0xb0,
0x00, 0x7c, 0xb7, 0x1a, 0x85, 0x9a, 0x94, 0xe8, 0x57, 0xc9, 0x7e, 0x24, 0xb4, 0x7a, 0x84, 0x17,
0x08, 0xe6, 0xae, 0x91, 0x14, 0xcb, 0x94, 0xf3, 0xe9, 0x13, 0x25, 0x35, 0x54, 0xbf, 0x22, 0xe9,
0xab, 0x8e, 0xa4, 0xa1, 0x18, 0x78, 0x6c, 0xee, 0x13, 0x26, 0xfc, 0x79, 0xf1, 0xe5, 0x51, 0x1e,
0x0c, 0xac, 0xa5, 0xef, 0x0d, 0xee, 0xe8, 0x5f, 0x93, 0xa4, 0x88, 0x4a, 0x32, 0x95, 0x8a, 0x61,
0x76, 0xd8, 0xac, 0x2d, 0x36, 0x9a, 0x6b, 0xa4, 0x7c, 0x30, 0xa3, 0x09, 0x38, 0xbb, 0xbc, 0x51,
0x1a, 0x10, 0xae, 0x9e, 0x18, 0x9f, 0xd8, 0xc8, 0xce, 0xfa, 0x63, 0xab, 0x28, 0xc9, 0x76, 0x28,
0x32, 0x61, 0x39, 0x83, 0x99, 0x0a, 0x41, 0xc0, 0x55, 0x1c, 0x65, 0x6c, 0xcf, 0xc3, 0x72, 0x47,
0xe7, 0xb1, 0x99, 0xb5, 0x04, 0x44, 0xb9, 0xde, 0x4b, 0x83, 0x37, 0x66, 0xb2, 0xee, 0x9f, 0x07,
0xf1, 0x4f, 0x4d, 0x59, 0xee, 0x37, 0x79, 0x47, 0x0e, 0x31, 0x70, 0x3a, 0xfa, 0xe0, 0xa1, 0xef,
0xa2, 0x1f, 0xeb, 0xe8, 0xd7, 0x4f, 0xcb, 0xc2, 0xce, 0xdc, 0x82, 0xa6, 0x36, 0xed, 0x1d, 0xdd,
0xa6, 0x40, 0x10, 0x38, 0x4f, 0x28, 0x90, 0xc3, 0xe3, 0xb6, 0xa4, 0x74, 0xbb, 0x56, 0x23, 0x01,
0x3a, 0xb6, 0xb1, 0xad, 0x94, 0x4b, 0x52, 0x42, 0x0a, 0x9d, 0xd6, 0x89, 0xdd, 0xa7, 0x0f, 0x66,
0xdb, 0x4e, 0x5b, 0xa4, 0xc2, 0x11, 0xd7, 0xd5, 0xf7, 0x0a, 0xf1, 0xc8, 0x35, 0x16, 0xc0, 0x7d,
0x29, 0x5d, 0x5c, 0x62, 0x6b, 0xe0, 0x1b, 0x74, 0x8d, 0x14, 0x9e, 0x08, 0xb6, 0x18, 0x0d, 0x2b,
0x3a, 0xfb, 0x22, 0x9e, 0xd6, 0x77, 0x05, 0x1b, 0xd4, 0x5d, 0x25, 0x27, 0x97, 0x40, 0x93, 0x58,
0x35, 0xad, 0xc5, 0x19, 0x96, 0x62, 0xbb, 0x10, 0x2d, 0x4e, 0x24, 0x62, 0xc0, 0x1a, 0xe6, 0x12,
0x84, 0xac, 0x1b, 0x5e, 0x25, 0xa9, 0xc7, 0x5d, 0xa0, 0x34, 0x85, 0x70, 0xf1, 0x08, 0xd8, 0xf9,
0x1c, 0x1b, 0x71, 0xcc, 0x72, 0xec, 0xce, 0x30, 0x91, 0x67, 0xac, 0xe5, 0x4e, 0x51, 0xa6, 0x47,
0x74, 0x09, 0x19, 0xee, 0x9d, 0x2d, 0x3f, 0xf2, 0x49, 0x5a, 0xf0, 0x6c, 0x8f, 0xe9, 0x1f, 0x10,
0xcc, 0x32, 0x2f, 0x8d, 0x3e, 0xfa, 0xba, 0x0c, 0x37, 0x51, 0xe2, 0x3e, 0xcc, 0xdd, 0x81, 0xd5,
0xef, 0xef, 0x56, 0x3a, 0xd2, 0x96, 0x10, 0xfb, 0x19, 0xce, 0x90, 0xbf, 0x82, 0x11, 0xf6, 0xe6,
0x28, 0x7e, 0x4d, 0x16, 0x61, 0x87, 0xdd, 0xc5, 0x61, 0x5d, 0x85, 0xa9, 0x02, 0xea, 0xdf, 0x7a,
0x2c, 0x92, 0xdd, 0xc3, 0xa3, 0xc9, 0xec, 0xd9, 0xc0, 0x54, 0xbd, 0xf2, 0x77, 0x00, 0x5e, 0x18,
0x8c, 0x0a, 0x63, 0xdf, 0x8f, 0xf9, 0x1e, 0x45, 0x1c, 0xd1, 0xf7, 0x11, 0x1e, 0xbd, 0x20, 0x30,
0x1c, 0x27, 0x45, 0xfe, 0xb7, 0xe6, 0x93, 0xae, 0x2a, 0xc1, 0xdc, 0xe2, 0xf6, 0xd1, 0x54, 0x42,
0xa3, 0x26, 0x79, 0xd6, 0xb3, 0x5c, 0xb0, 0xd2, 0x97, 0x3e, 0xc0, 0x0e, 0xce, 0xf4, 0x82, 0x42,
0x99, 0x49, 0xb7, 0xad, 0x33, 0xd6, 0x67, 0x81, 0xaf, 0x40, 0xa2, 0xbd, 0x71, 0x7e, 0x82, 0x66,
0x8d, 0x97, 0x3b, 0x9d, 0x30, 0xe8, 0x4b, 0x4d, 0xcd, 0xf0, 0x1e, 0xfb, 0x33, 0xbd, 0xcd, 0xb2,
0xca, 0x7e, 0x5d, 0xa2, 0xe5, 0x6a, 0xa1, 0xc0, 0xbd, 0xae, 0x8c, 0x65, 0x93, 0x9d, 0x53, 0x6f,
0x8d, 0xce, 0x4f, 0xc2, 0xb1, 0x54, 0x7d, 0x7a, 0x59, 0x08, 0xc0, 0xaa, 0xfc, 0x12, 0xa9, 0x41,
0x9b, 0x11, 0x3c, 0x24, 0x3a, 0x89, 0x8f, 0x2f, 0x5a, 0x49, 0x44, 0x64, 0x83, 0x17, 0xbe, 0xa2,
0xff, 0x6f, 0xcb, 0x65, 0x04, 0x6f, 0x75, 0x4c, 0x5d, 0x15, 0x06, 0x7b, 0x3b, 0x3e, 0xc1, 0xed,
0xcb, 0xdc, 0xde, 0x04, 0x03, 0x30, 0x74, 0xc2, 0x6b, 0x50, 0x53, 0x6b, 0x8c, 0xcd, 0x1b, 0xe7,
0xd5, 0xf8, 0x42, 0xe5, 0x07, 0x16, 0xc3, 0x70, 0x83, 0x49, 0x25, 0xa4, 0x1e, 0x61, 0xa8, 0xc4,
0x13, 0x82, 0xfe, 0x56, 0xd7, 0x04, 0xbe, 0x4d, 0x59, 0x05, 0xb8, 0x35, 0xcc, 0xd2, 0xaf, 0x40,
0x24, 0xf3, 0xbc, 0x48, 0x58, 0x0e, 0x01, 0xe6, 0x47, 0x19, 0x9d, 0xb6, 0xe3, 0x6f, 0x17, 0x5e,
0xab, 0x6c, 0xa3, 0x5a, 0x9a, 0xdd, 0x95, 0x2a, 0x18, 0x22, 0x42, 0x36, 0x07, 0xa0, 0x47, 0xb1,
0x2e, 0x8f, 0xc8, 0x78, 0xcc, 0x7d, 0x16, 0x61, 0x5f, 0x34, 0x66, 0xee, 0x01, 0x17, 0x60, 0xa3,
0x3f, 0x4d, 0xb1, 0xcc, 0xcc, 0x13, 0x99, 0x51, 0x3e, 0x78, 0x69, 0x7b, 0x83, 0x49, 0x5f, 0xf3,
0x89, 0xa9, 0x9e, 0x24, 0x18, 0x08, 0x4d, 0xdb, 0x8a, 0xb1, 0xd8, 0xd7, 0xae, 0x30, 0x82, 0x4d,
0x3d, 0x4f, 0xce, 0xbe, 0x17, 0xe5, 0x47, 0x5d, 0xa6, 0x03, 0x8c, 0xae, 0xe7, 0xa2, 0x63, 0xf3,
0xe8, 0x88, 0x21, 0xf4, 0xfd, 0xa9, 0x32, 0x15, 0x93, 0x0c, 0xbe, 0x61, 0xe8, 0x35, 0x6c, 0xb5,
0xc9, 0xa9, 0xec, 0x1c, 0x7f, 0x34, 0x5b, 0xb0, 0x80, 0x6d, 0x0a, 0x52, 0x87, 0x74, 0x12, 0x90,
0x3a, 0xf7, 0x40, 0x41, 0xe1, 0x62, 0xa5, 0xb7, 0xf0, 0x5d, 0x45, 0x3e, 0x55, 0x1a, 0x30, 0xec,
0x5d, 0x52, 0x00, 0x76, 0x38, 0x10, 0x0d, 0xf0, 0x2f, 0x7f, 0xf2, 0x3e, 0x34, 0x1f, 0x1a, 0xd9,
0xf8, 0xb9, 0x86, 0xf9, 0xdc, 0x05, 0xe0, 0xcf, 0x28, 0x49, 0xfd, 0x21, 0x64, 0xf6, 0xa1, 0xc4,
0xf7, 0xce, 0x91, 0xb2, 0x15, 0xdf, 0x82, 0x39, 0x30, 0x60, 0xf3, 0xd1, 0xa6, 0x18, 0xc4, 0x3b,
0xf7, 0xd2, 0x64, 0xe8, 0xab, 0x67, 0x23, 0xb8, 0x2c, 0x57, 0x84, 0x17, 0xc0, 0x2c, 0x21, 0xfc,
0x55, 0x8b, 0xb6, 0x06, 0xbf, 0x79, 0x7e, 0x29, 0x5a, 0xfb, 0x5c, 0xa5, 0x5a, 0xe4, 0x46, 0xac,
0x16, 0x8e, 0xf4, 0x03, 0xb7, 0xbb, 0xb0, 0x7b, 0xbf, 0xd3, 0x84, 0xbe, 0xb5, 0x6a, 0xc8, 0x28,
0xe8, 0x2c, 0x2d, 0x0b, 0x7d, 0x0a, 0x65, 0xd3, 0xee, 0x54, 0x8c, 0xbf, 0xd9, 0xda, 0x84, 0x21,
0x80, 0x07, 0x68, 0x09, 0x75, 0xbd, 0xa8, 0xd0, 0xbf, 0xa0, 0xf3, 0xc7, 0xc5, 0xb5, 0xf2, 0xf8,
0xf1, 0x74, 0x6e, 0x7d, 0xad, 0x80, 0xbd, 0x87, 0xe9, 0x83, 0x2e, 0xda, 0x61, 0x28, 0x03, 0x74,
0xe5, 0x45, 0x74, 0x0d, 0x1f, 0x47, 0x46, 0x10, 0x7f, 0xef, 0x12, 0x9f, 0x78, 0xec, 0x03, 0xed,
0x22, 0x86, 0x6f, 0x1a, 0x31, 0x14, 0xf4, 0x3a, 0x7f, 0xef, 0x98, 0x3e, 0x64, 0x86, 0xb9, 0x0e,
0x5b, 0x0d, 0x55, 0xba, 0xcc, 0x6d, 0x04, 0xc7, 0x9c, 0x1e, 0xd4, 0xf7, 0xf0, 0x60, 0x6d, 0x54,
0x75, 0x70, 0x3b, 0x99, 0xd3, 0x01, 0x9f, 0x34, 0x44, 0x98, 0xab, 0xd1, 0x6b, 0xc8, 0xaa, 0xfd,
0xd9, 0x5a, 0xd3, 0xee, 0x5d, 0x2c, 0x54, 0x38, 0x06, 0x1f, 0x93, 0xb3, 0x5c, 0x87, 0x10, 0x5e,
0xcb, 0xcd, 0xd3, 0x4a, 0x89, 0xd2, 0x0d, 0xac, 0xeb, 0x42, 0x67, 0x2b, 0xd1, 0x75, 0x12, 0x58,
0xdd, 0x19, 0xe3, 0x21, 0x33, 0x75, 0xf6, 0x51, 0x25, 0xeb, 0xa6, 0x43, 0x44, 0x82, 0x64, 0xae,
0xb8, 0x97, 0x01, 0xff, 0x17, 0x8f, 0xce, 0x96, 0xc8, 0xc3, 0x86, 0xa0, 0x05, 0xb2, 0x2c, 0x33,
0x01, 0x27, 0x25, 0x84, 0x83, 0x85, 0x33, 0xe2, 0xd0, 0xc5, 0x65, 0x89, 0x85, 0x45, 0x81, 0x3f,
0x2d, 0xb4, 0xb1, 0x8b, 0x1d, 0x04, 0x5d, 0x4c, 0xd8, 0x46, 0x8a, 0x04, 0x3a, 0x3b, 0xa7, 0x76,
0x47, 0x5e, 0xcc, 0xc0, 0x16, 0xb2, 0x3a, 0x38, 0x9a, 0x6a, 0x50, 0x3a, 0x8b, 0x82, 0xb7, 0x6b,
0xf2, 0x60, 0x53, 0x4e, 0xdf, 0x8a, 0x02, 0x9f, 0xc6, 0x27, 0x4f, 0xf5, 0x2a, 0xf1, 0xf1, 0x2f,
0x4a, 0xaa, 0xc7, 0x94, 0xc0, 0xdc, 0xdb, 0x8c, 0x41, 0xd9, 0x16, 0x13, 0xa2, 0xae, 0x37, 0x2a,
0x7e, 0x26, 0x6f, 0xdf, 0x46, 0x07, 0x74, 0x88, 0x62, 0xab, 0x28, 0x64, 0x12, 0x7c, 0xca, 0xd5,
0xbb, 0x6f, 0x7f, 0x3b, 0x44, 0x99, 0x20, 0x93, 0x9a, 0xa0, 0xac, 0x17, 0xed, 0x82, 0xf9, 0x43,
0xc2, 0x98, 0x6b, 0xcf, 0x54, 0x91, 0xfe, 0x3c, 0x9e, 0xfa, 0x7b, 0x57, 0x38, 0xe2, 0x64, 0x58,
0x9c, 0xe0, 0x41, 0x95, 0x8a, 0xa0, 0xa3, 0x3d, 0x7b, 0x3e, 0x99, 0xea, 0xc7, 0xec, 0x82, 0xc8,
0xa8, 0xae, 0xbd, 0xf9, 0x5c, 0x7e, 0xa2, 0x20, 0x78, 0xce, 0x4a, 0x6c, 0x74, 0x2a, 0xe7, 0x31,
0xdb, 0xc1, 0x02, 0x49, 0x4b, 0x83, 0x0b, 0x0e, 0x7e, 0xeb, 0x69, 0x59, 0xf9, 0x3c, 0x13, 0x47,
0xaf, 0xbd, 0x58, 0xec, 0x7f, 0xae, 0x7e, 0x4b, 0xf3, 0x3d, 0x18, 0xbf, 0xb0, 0x79, 0x92, 0x59,
0x9e, 0x5f, 0x03, 0x30, 0x15, 0xba, 0xec, 0xd1, 0xaf, 0x2e, 0xf7, 0x88, 0xde, 0x50, 0xae, 0x9e,
0x59, 0x14, 0xf3, 0xa5, 0x78, 0x25, 0xd7, 0xd9, 0x1a, 0x33, 0x81, 0x29, 0x8b, 0x93, 0xf6, 0xfa,
0x90, 0x3d, 0x13, 0xaa, 0x0d, 0xa7, 0x8e, 0x79, 0xc0, 0x36, 0x45, 0x29, 0xa5, 0xf1, 0xfe, 0x92,
0x1b, 0x57, 0x42, 0x58, 0xe0, 0x85, 0x15, 0xa2, 0xc9, 0xb1, 0x50, 0x08, 0x6a, 0x02, 0x46, 0xc6,
0x1d, 0xd0, 0xf0, 0xb4, 0x5a, 0xcc, 0xd5, 0x54, 0x9d, 0xab, 0x13, 0x47, 0x9f, 0x82, 0x60, 0x9b,
0x11, 0x64, 0x35, 0xfa, 0xef, 0x89, 0xb4, 0x87, 0x43, 0x48, 0x6e, 0x78, 0x64, 0x01, 0xbe, 0x09,
0xd1, 0xd0, 0x40, 0xdf, 0x77, 0x6b, 0xee, 0x92, 0xc5, 0xff, 0x77, 0xcf, 0x20, 0x95, 0x36, 0x78,
0x35, 0x1f, 0x1e, 0xaf, 0x4b, 0xa7, 0x66, 0x71, 0x9d, 0x5e, 0xb7, 0xd9, 0x70, 0x6e, 0xaa, 0x35,
0x49, 0x3c, 0x9a, 0x23, 0x53, 0xaf, 0x3e, 0x9d, 0x60, 0x72, 0xb5, 0x27, 0x33, 0x80, 0x33, 0xd2,
0x11, 0x4b, 0xff, 0xfb, 0x53, 0xab, 0x14, 0x4c, 0xe4, 0xe7, 0xbc, 0x2f, 0x5c, 0xd8, 0xbf, 0x81,
0x5c, 0xf7, 0x4d, 0x5d, 0xb8, 0x84, 0x62, 0xf3, 0xd2, 0x0a, 0x53, 0x66, 0xd3, 0x13, 0xff, 0xb0,
0xeb, 0x4b, 0x1f, 0x10, 0x1d, 0xa9, 0xba, 0x5c, 0xad, 0xe2, 0x52, 0x91, 0xae, 0xbe, 0x5d, 0x05,
0x54, 0x6d, 0x72, 0x1e, 0xc1, 0x14, 0xb5, 0x9b, 0x22, 0x3f, 0x78, 0x73, 0x5e, 0x99, 0x50, 0xde,
0xa8, 0x41, 0x31, 0xd0, 0x44, 0xf3, 0x2f, 0x31, 0xd9, 0x0b, 0x72, 0x1a, 0xd3, 0x70, 0xbe, 0x84,
0xfc, 0xe1, 0xed, 0x15, 0xb9, 0xe9, 0x69, 0xe2, 0xbe, 0x50, 0xa2, 0xda, 0x4e, 0x7a, 0x83, 0xc5,
0x56, 0xea, 0xaf, 0x2c, 0xc9, 0x8f, 0xcc, 0x83, 0x1a, 0xa5, 0x0e, 0x74, 0xaa, 0x64, 0x96, 0xb5,
0x5a, 0x4a, 0x72, 0xad, 0x86, 0x5a, 0xb8, 0x5a, 0x04, 0x0d, 0x68, 0x21, 0x63, 0x23, 0x7b, 0x17,
0x9d, 0xfd, 0x1b, 0x3f, 0xac, 0x80, 0x98, 0x97, 0xb5, 0xd4, 0xb7, 0x08, 0x50, 0xf4, 0x18, 0xf9,
0x16, 0xb1, 0x57, 0xfa, 0xff, 0xa8, 0x02, 0x6e, 0x62, 0x7b, 0x15, 0x8d, 0xc0, 0x17, 0xdd, 0xa3,
0x45, 0x98, 0x5a, 0xa0, 0xda, 0xe2, 0xd1, 0x17, 0x91, 0x3d, 0xda, 0x18, 0x16, 0x19, 0x3a, 0xfb,
0xfd, 0x44, 0x72, 0x03, 0x97, 0x72, 0x1d, 0xbf, 0x11, 0xca, 0x95, 0x05, 0x6a, 0x9e, 0x41, 0x3d,
0x85, 0xb4, 0xd9, 0xb3, 0x88, 0xd4, 0xd9, 0xfb, 0x1c, 0xd2, 0x35, 0x31, 0x12, 0xcc, 0xf3, 0x03,
0x50, 0x8a, 0xfb, 0x0e, 0x72, 0xeb, 0x86, 0x65, 0xd5, 0x96, 0x0f, 0x53, 0x1e, 0x13, 0x99, 0x91,
0xa7, 0x70, 0xab, 0x4c, 0xa6, 0x1a, 0xb7, 0x0d, 0x71, 0x0e, 0xb6, 0x17, 0x85, 0xdf, 0x9b, 0x74,
0x19, 0x4a, 0xc7, 0x55, 0x0e, 0xe9, 0x22, 0x6b, 0x8e, 0xa8, 0x5e, 0x45, 0xc4, 0x0f, 0x36, 0xbb,
0x21, 0xda, 0x97, 0xcf, 0xed, 0x41, 0xb5, 0x00, 0x26, 0xb1, 0x70, 0x43, 0x5c, 0x60, 0x59, 0x23,
0x19, 0xc5, 0xdb, 0x49, 0xef, 0xdd, 0x5d, 0x19, 0x5f, 0x58, 0xaa, 0x20, 0xd9, 0x09, 0x17, 0x09,
0xc7, 0x5f, 0xb9, 0x65, 0x8f, 0x0a, 0xe8, 0x4d, 0x7d, 0x60, 0x88, 0x7a, 0x53, 0x9e, 0xf1, 0x25,
0xcd, 0xa1, 0x3e, 0xc6, 0xc5, 0x86, 0xf2, 0xee, 0x60, 0x0f, 0x11, 0x3e, 0xe3, 0x90, 0x4d, 0xff,
0x49, 0x0b, 0x2f, 0x85, 0x7f, 0x18, 0x53, 0x4e, 0xe2, 0x5c, 0x06, 0x61, 0x51, 0x08, 0xca, 0x55,
0x80, 0x83, 0xa4, 0x80, 0x05, 0x26, 0xe7, 0x29, 0xdb, 0xab, 0x94, 0x66, 0xe9, 0xbf, 0xf8, 0xd2,
0x79, 0x71, 0x61, 0x05, 0x33, 0xc8, 0x6b, 0x5c, 0x62, 0x01, 0x7f, 0x82, 0xef, 0x5f, 0xa3, 0xf6,
0x29, 0x86, 0xb6, 0x0a, 0xa5, 0xed, 0x3a, 0xae, 0x34, 0x12, 0xba, 0xb0, 0x80, 0xd4, 0x53, 0x79,
0x57, 0x7d, 0xa2, 0x38, 0xfd, 0x39, 0xc1, 0xaf, 0x07, 0x8d, 0x23, 0x6b, 0xcd, 0x97, 0xe0, 0xf6,
0x83, 0x74, 0x7c, 0x3c, 0x95, 0xdb, 0xb1, 0xf0, 0xf7, 0x9e, 0xe9, 0xe4, 0x68, 0x67, 0x18, 0x0e,
0x00, 0x12, 0x70, 0x79, 0xc2, 0xfe, 0xde, 0x00, 0x12, 0x87, 0x00, 0xd3, 0x8a, 0xc5, 0x1b, 0xb4,
0xd7, 0x46, 0x1d, 0x73, 0x5c, 0x51, 0x93, 0x19, 0x83, 0x1b, 0x28, 0xb9, 0x70, 0x87, 0x20, 0x34,
0xb6, 0x7e, 0xb9, 0x1f, 0x9d, 0x15, 0xdb, 0xd7, 0xfb, 0x30, 0x92, 0xe8, 0x21, 0x6c, 0x5c, 0xdb,
0xaf, 0x5c, 0xd5, 0xa5, 0x76, 0x4b, 0x5f, 0xc3, 0xa8, 0x73, 0x9a, 0x42, 0x04, 0x21, 0xf1, 0x49,
0xbc, 0x47, 0xa0, 0xa7, 0x4a, 0xda, 0x16, 0x34, 0xcd, 0x62, 0xe1, 0xe0, 0x9a, 0x35, 0xf2, 0xf9,
0xb2, 0x3c, 0xcf, 0xa6, 0x4f, 0xd7, 0x23, 0xc2, 0xd2, 0xa5, 0x5a, 0xf9, 0xfd, 0x7d, 0x25, 0x84,
0xda, 0xda, 0x66, 0xb9, 0x99, 0x7f, 0xec, 0xfc, 0x82, 0x7c, 0xea, 0x6b, 0x23, 0x89, 0x6e, 0xab,
0xe9, 0x43, 0xcb, 0x88, 0xcd, 0x18, 0x6e, 0xae, 0x2d, 0xf5, 0xc7, 0xe3, 0x92, 0x55, 0x0b, 0xc0,
0x4d, 0xc8, 0xee, 0x4b, 0x7e, 0xfe, 0x84, 0x8c, 0x32, 0x33, 0xc8, 0xf1, 0xfb, 0xd8, 0x11, 0x22,
0xd9, 0x0d, 0x2b, 0x16, 0x19, 0xba, 0x65, 0xe4, 0x99, 0x26, 0x7b, 0xa7, 0x04, 0x11, 0xfc, 0xb8,
0x05, 0x48, 0x36, 0x43, 0x82, 0x14, 0xb7, 0x31, 0x50, 0xfd, 0x38, 0x89, 0xc1, 0x36, 0xa1, 0xd5,
0x8e, 0x52, 0x76, 0x99, 0xc8, 0x38, 0x49, 0xb4, 0x94, 0x02, 0x96, 0x35, 0x8c, 0xc1, 0x9c, 0x7c,
0x2b, 0xbe, 0x73, 0x62, 0x0a, 0xd3, 0x57, 0x3d, 0xdb, 0x81, 0x14, 0x7c, 0xd0, 0x4a, 0xe5, 0x2f,
0x63, 0xbd, 0xac, 0xcf, 0x83, 0x10, 0xfd, 0x06, 0x54, 0xc0, 0x5c, 0xba, 0x96, 0x72, 0x0b, 0xcf,
0x0a, 0x74, 0xe2, 0xbf, 0xbc, 0x1c, 0xc6, 0xd8, 0x9e, 0x7f, 0x5f, 0xbb, 0x00, 0xfe, 0x2a, 0xbd,
0x36, 0x02, 0x56, 0x5b, 0xa2, 0x30, 0x75, 0x44, 0x62, 0xf8, 0x22, 0x24, 0x14, 0x04, 0x30, 0x26,
0xe5, 0xb4, 0x06, 0x3d, 0xfe, 0x5c, 0x3a, 0xc7, 0xd8, 0x1d, 0x1b, 0xc9, 0x99, 0xbb, 0xa5, 0x2c,
0x92, 0x3b, 0xaa, 0x92, 0xf2, 0x12, 0x59, 0xc1, 0xd7, 0xec, 0xae, 0x89, 0x45, 0xfb, 0xe6, 0x15,
0xa7, 0xe8, 0xad, 0x26, 0xf9, 0xb3, 0xe0, 0xd5, 0x57, 0xab, 0x4c, 0xab, 0xda, 0xe0, 0xc2, 0x9d,
0xb1, 0x12, 0x6f, 0xc9, 0x84, 0x2b, 0x66, 0x89, 0x05, 0x37, 0x2a, 0x6b, 0x8d, 0xe8, 0x21, 0xa4,
0xbb, 0x28, 0xc4, 0xb4, 0xa6, 0x93, 0xc2, 0xc9, 0x54, 0x39, 0x38, 0x84, 0xae, 0x70, 0x9b, 0xcf,
0xc5, 0xc5, 0x3c, 0x56, 0x21, 0xb4, 0x95, 0xb0, 0xa7, 0x2a, 0x30, 0xd8, 0xcb, 0x18, 0x22, 0x31,
0x59, 0x01, 0x62, 0x43, 0xe2, 0x65, 0xb9, 0xf3, 0xc6, 0x5c, 0x9c, 0xe1, 0xea, 0x48, 0x6f, 0x10,
0xc2, 0x27, 0x3a, 0xd6, 0xd1, 0x15, 0xeb, 0x7f, 0xc9, 0x2b, 0x21, 0x25, 0xae, 0x91, 0x34, 0xd0,
0x6b, 0xfe, 0xe3, 0x79, 0x52, 0xb9, 0xb2, 0x17, 0xd6, 0x6b, 0xf0, 0xfa, 0x3f, 0x15, 0xb5, 0x74,
0x10, 0xf9, 0xd9, 0xb0, 0xc5, 0xdb, 0x72, 0x1a, 0x76, 0xeb, 0x41, 0x6f, 0xb5, 0x9b, 0x8d, 0xb9,
0x8f, 0x75, 0x6d, 0xc8, 0x25, 0xfa, 0xee, 0xdb, 0x1c, 0x3c, 0x01, 0x80, 0x38, 0x5b, 0x83, 0x01,
0xc0, 0x02, 0xa1, 0x1c, 0x71, 0xef, 0xbc, 0x58, 0xa5, 0xf6, 0x49, 0xb7, 0xef, 0x9c, 0xa7, 0x7d,
0x39, 0xcc, 0x2a, 0x0b, 0xdb, 0x78, 0xb7, 0x5d, 0x22, 0x36, 0xb1, 0x36, 0x72, 0x56, 0x62, 0x19,
0xf1, 0x5c, 0x0a, 0x63, 0x02, 0x6a, 0x59, 0x8e, 0x24, 0xb6, 0x32, 0x21, 0x11, 0x96, 0xd2, 0x8c,
0xf1, 0xaf, 0x84, 0x3f, 0xf5, 0x98, 0x0d, 0x22, 0x14, 0x15, 0xda, 0x9f, 0x44, 0x0b, 0x08, 0x33,
0x13, 0x11, 0x53, 0x78, 0xe1, 0xf1, 0x4b, 0x40, 0x1c, 0x43, 0x73, 0x5d, 0x86, 0x06, 0xe1, 0x02,
0x79, 0x3f, 0x68, 0x00, 0xb7, 0xb0, 0xcb, 0x3b, 0x2e, 0x12, 0x4e, 0x81, 0x77, 0x2a, 0xc5, 0x74,
0xc4, 0xd9, 0xa0, 0x1e, 0xa3, 0x74, 0x17, 0x61, 0x15, 0xaf, 0xa7, 0xb4, 0x25, 0x61, 0x85, 0x60,
0x70, 0x85, 0xfb, 0x43, 0xb9, 0x43, 0x4f, 0x87, 0x44, 0x1a, 0x7b, 0xee, 0x68, 0xbb, 0x74, 0x99,
0xff, 0x81, 0x22, 0xb4, 0x8d, 0x94, 0xf0, 0x4a, 0x3e, 0x28, 0xf5, 0xbd, 0x5c, 0xa1, 0x7f, 0x5c,
0xea, 0xe6, 0xba, 0xf2, 0x5d, 0x85, 0xf2, 0xed, 0xd7, 0xfd, 0x93, 0xf0, 0xbb, 0xba, 0x86, 0x23,
0xb5, 0xee, 0xb5, 0x5b, 0xd9, 0x91, 0xbf, 0xdc, 0xe3, 0xdc, 0xbe, 0x82, 0x92, 0xce, 0xb4, 0x0f,
0xbf, 0xf1, 0x80, 0x0f, 0xe8, 0xc3, 0x04, 0x49, 0x3e, 0x95, 0x72, 0xf8, 0x36, 0x44, 0xce, 0xf4,
0x3a, 0x6a, 0xeb, 0xdd, 0x88, 0x28, 0x8d, 0xf3, 0x04, 0x65, 0xd8, 0xfd, 0x9d, 0xb1, 0x22, 0xbd,
0x44, 0xe7, 0xcf, 0x0f, 0x2f, 0xfc, 0xb6, 0xd6, 0x60, 0x7a, 0x6e, 0x6a, 0x93, 0x83, 0xf1, 0x86,
0xf4, 0xf1, 0x23, 0xb2, 0xfd, 0x4a, 0xb6, 0xcf, 0x97, 0x70, 0xae, 0xa9, 0x44, 0x94, 0x7a, 0x4e,
0xf9, 0x1e, 0xf8, 0xdc, 0x1f, 0xf0, 0x06, 0x16, 0xdf, 0x69, 0xde, 0x70, 0xea, 0x64, 0x98, 0xe6,
0x1f, 0x9f, 0x3a, 0xcf, 0xf6, 0xb6, 0x10, 0xb1, 0x3c, 0xd1, 0x76, 0x67, 0x6c, 0xaf, 0x3c, 0x0a,
0xc3, 0x46, 0x31, 0x89, 0xf7, 0x7a, 0x0f, 0x9b, 0x7d, 0xd8, 0x9a, 0x81, 0x57, 0x0c, 0x37, 0xda,
0xf7, 0xc3, 0xe5, 0x4b, 0x14, 0xe9, 0x0e, 0x8c, 0x27, 0xdc, 0x68, 0xdb, 0xd8, 0xdb, 0x8b, 0xee,
0x4e, 0x9f, 0x93, 0x18, 0x4c, 0x75, 0xec, 0x41, 0x6f, 0xbe, 0x89, 0xe3, 0x77, 0x64, 0xbd, 0x22,
0xa1, 0x0a, 0x16, 0x93, 0xbc, 0x7a, 0xec, 0x6e, 0x3c, 0x2d, 0x97, 0x4a, 0xb1, 0x7d, 0xb6, 0xfc,
0x01, 0x8b, 0x87, 0x2b, 0x60, 0xe4, 0x53, 0xde, 0x72, 0xef, 0xa5, 0xdf, 0xeb, 0x2d, 0x3c, 0x01,
0xdc, 0xfd, 0xd8, 0x3b, 0x2a, 0x16, 0x74, 0x1b, 0x26, 0x40, 0x5c, 0x4d, 0x11, 0x7f, 0xa8, 0x3f,
0xc9, 0xe8, 0x8f, 0x6b, 0xe4, 0x96, 0x3f, 0x2b, 0x4e, 0xfa, 0x1f, 0xa5, 0x73, 0x85, 0xbb, 0xe5,
0x6f, 0xd7, 0x0c, 0xf4, 0x46, 0x81, 0xfd, 0x0d, 0x0f, 0x70, 0x3c, 0x51, 0x46, 0x47, 0x5d, 0x37,
0x02, 0x94, 0x52, 0x44, 0x4b, 0xac, 0x30, 0xc3, 0x72, 0xd1, 0x50, 0x5e, 0x29, 0xa2, 0x4a, 0xfb,
0xbe, 0x8e, 0x60, 0x16, 0xb0, 0xb1, 0x82, 0xd8, 0x29, 0xf5, 0x3c, 0x72, 0x3c, 0x79, 0x9d, 0xa8,
0x64, 0x15, 0x57, 0x7a, 0x10, 0x0f, 0xb4, 0xc0, 0x02, 0xdb, 0xc6, 0x6c, 0x37, 0xa1, 0xf3, 0x52,
0x5c, 0xb5, 0xcd, 0x42, 0xf1, 0x43, 0x31, 0xfe, 0x0b, 0xaa, 0xcb, 0xd5, 0x0a, 0xf4, 0x69, 0x64,
0xf5, 0x98, 0x41, 0x53, 0xed, 0x04, 0x27, 0x56, 0x4a, 0xe9, 0x4c, 0x96, 0x64, 0x29, 0xff, 0xe2,
0xe1, 0x79, 0xf5, 0x78, 0x69, 0x43, 0xe6, 0x4e, 0x4e, 0xa8, 0x8a, 0x50, 0x15, 0x37, 0x44, 0x73,
0x41, 0xe8, 0x21, 0xe4, 0x0a, 0x2e, 0x43, 0x2d, 0x4b, 0xd1, 0xfe, 0xf5, 0xc5, 0x30, 0x31, 0x39,
0xfa, 0x53, 0x7a, 0x3c, 0xd5, 0x63, 0x7a, 0x5c, 0xff, 0x18, 0xf8, 0x79, 0x84, 0x73, 0x84, 0x55,
0x61, 0x17, 0x2f, 0xad, 0x34, 0xd3, 0xf2, 0xf3, 0x2b, 0xe6, 0xe3, 0xc2, 0x0e, 0x2b, 0x28, 0xc4,
0x92, 0xd0, 0xd3, 0x14, 0x06, 0x58, 0xbb, 0x2f, 0xdf, 0xe6, 0x3d, 0x0d, 0x6b, 0x71, 0x40, 0xc2,
0xbf, 0x6b, 0x41, 0xae, 0x85, 0x39, 0x1c, 0xdf, 0x02, 0xf3, 0x6e, 0x85, 0x15, 0x1d, 0xb8, 0xe4,
0xbe, 0x32, 0x77, 0x70, 0x22, 0x5b, 0xe7, 0x03, 0xd6, 0x1c, 0xab, 0x90, 0x9b, 0x0d, 0x03, 0x40,
0x0f, 0x3d, 0x82, 0x9b, 0xb8, 0x32, 0x03, 0x99, 0xee, 0xe4, 0xa9, 0x63, 0x35, 0xec, 0xe2, 0x29,
0xb3, 0xda, 0x4c, 0x3c, 0x4c, 0x6b, 0x4f, 0x67, 0x0a, 0x8e, 0x35, 0xe2, 0xe5, 0x3d, 0x97, 0xe6,
0xec, 0xb2, 0x99, 0xa2, 0x7d, 0x1c, 0xf0, 0xb0, 0x6d, 0xc7, 0x14, 0xe6, 0xb1, 0x77, 0x75, 0x2d,
0x73, 0x0e, 0xa6, 0x3b, 0x4b, 0x90, 0xac, 0xe4, 0x34, 0x60, 0x6d, 0x03, 0xba, 0xb2, 0xb4, 0xb8,
0x11, 0xe1, 0x1c, 0xb2, 0x27, 0xbb, 0x39, 0x61, 0x47, 0x53, 0x3e, 0xb0, 0x5b, 0x0d, 0x5a, 0xc9,
0x36, 0xd5, 0xd3, 0x99, 0xa8, 0xdb, 0x74, 0x32, 0x5b, 0x05, 0x95, 0x0d, 0x2f, 0x19, 0xa7, 0x99,
0x2e, 0x57, 0x19, 0xde, 0x4b, 0xb9, 0x08, 0x57, 0xdc, 0x37, 0x15, 0x7d, 0x1f, 0xe5, 0x12, 0x33,
0x91, 0xa1, 0xdd, 0xe3, 0x30, 0x2b, 0x84, 0x4c, 0xe9, 0xbd, 0x0c, 0x8b, 0x6d, 0xe4, 0x75, 0x12,
0x41, 0x98, 0x4b, 0xab, 0x25, 0xda, 0x4b, 0xc0, 0x92, 0xb1, 0x4a, 0x32, 0x06, 0x5a, 0xac, 0x93,
0xf2, 0x6f, 0x01, 0x4d, 0xc1, 0xac, 0xf2, 0x37, 0x8b, 0x4e, 0x03, 0xbb, 0xd0, 0x06, 0x4f, 0xfa,
0x7d, 0xb5, 0xdc, 0x1e, 0xf3, 0x2d, 0x05, 0x29, 0x1b, 0x7e, 0x6e, 0x0e, 0x26, 0x3c, 0x11, 0x5c,
0xaf, 0x97, 0x55, 0x5a, 0xc9, 0x4f, 0x75, 0xb5, 0x24, 0x72, 0xa7, 0x07, 0x0b, 0x02, 0xd9, 0xa2,
0xa3, 0xb0, 0xde, 0x30, 0x22, 0xfc, 0x54, 0x14, 0xfa, 0x7b, 0x19, 0x58, 0x19, 0x59, 0x9f, 0x7d,
0x8a, 0x63, 0xd7, 0x27, 0x66, 0xe0, 0x52, 0x05, 0x3d, 0x4e, 0x14, 0xad, 0xf5, 0xaa, 0xc5, 0x79,
0x1a, 0x02, 0x78, 0x03, 0x2c, 0xe4, 0x86, 0x14, 0x51, 0xbc, 0xc7, 0x31, 0x58, 0x04, 0x39, 0xe9,
0xac, 0xae, 0xaf, 0x74, 0x97, 0xef, 0x9a, 0x5a, 0x97, 0x7c, 0xf5, 0xcd, 0xa1, 0x19, 0xd6, 0x31,
0xc2, 0x0b, 0x5e, 0x66, 0x9a, 0x7f, 0x96, 0x09, 0x59, 0xc5, 0x17, 0x5c, 0x39, 0x66, 0xa7, 0x29,
0x31, 0xb9, 0x6d, 0xad, 0x4e, 0xc1, 0x90, 0xb9, 0x94, 0x02, 0xc3, 0xe0, 0x69, 0xb8, 0x44, 0x6b,
0xa3, 0xa6, 0xab, 0x7e, 0xfe, 0xfa, 0x8f, 0x89, 0x60, 0xf5, 0x7e, 0x68, 0x62, 0xcf, 0x58, 0xa2,
0x96, 0xca, 0xe5, 0x36, 0x23, 0xd9, 0x88, 0x6e, 0x8b, 0x17, 0x7e, 0xf3, 0xe5, 0xd7, 0x63, 0xb0,
0x96, 0x82, 0x18, 0xf3, 0x10, 0x13, 0x09, 0xce, 0x7b, 0xe3, 0xd8, 0xb6, 0x5b, 0x6f, 0x0e, 0x13,
0x1b, 0xd3, 0x49, 0x57, 0x8b, 0xa1, 0xf8, 0xbd, 0xda, 0xed, 0x0d, 0x9c, 0x6c, 0x32, 0x61, 0x03,
0xdd, 0x39, 0x63, 0x9c, 0x6f, 0xe3, 0xe5, 0xc1, 0xd6, 0xdb, 0x26, 0x1d, 0xa2, 0x60, 0x7e, 0x7b,
0xb2, 0x51, 0x80, 0x8f, 0x78, 0x89, 0x43, 0xaa, 0x9d, 0x76, 0xef, 0x1e, 0xdb, 0xd0, 0x51, 0xb4,
0x8e, 0xed, 0x14, 0x42, 0xfb, 0x63, 0x5d, 0x21, 0x99, 0x30, 0x99, 0x05, 0x53, 0x25, 0xe8, 0xec,
0xe7, 0xf1, 0x40, 0x8c, 0xba, 0xb6, 0x6a, 0xe0, 0xc7, 0x73, 0x68, 0x6c, 0x15, 0x4b, 0x42, 0xe3,
0xda, 0x97, 0x0e, 0x40, 0xc5, 0xff, 0x98, 0x2b, 0xf2, 0x19, 0xca, 0x3d, 0x49, 0x72, 0x7a, 0x96,
0xd5, 0x16, 0xd4, 0x2a, 0xf4, 0x5d, 0x1d, 0xd2, 0x1d, 0x22, 0x60, 0xe0, 0x18, 0xf7, 0x38, 0x04,
0x01, 0x94, 0x45, 0xb2, 0x5f, 0xc0, 0x10, 0xce, 0x65, 0x62, 0x33, 0x61, 0x6d, 0x65, 0x15, 0x7d,
0x39, 0xc0, 0xcf, 0xcb, 0x4c, 0xa2, 0x23, 0x1c, 0xa8, 0x42, 0x46, 0x99, 0x81, 0xdc, 0x28, 0xad,
0xd6, 0xcc, 0x92, 0xdd, 0x06, 0x58, 0x02, 0x0c, 0xe1, 0x67, 0xf2, 0x4f, 0x7a, 0xe3, 0xde, 0xb9,
0x65, 0x81, 0xb4, 0x59, 0x13, 0xfc, 0xa4, 0x12, 0x13, 0x41, 0x9f, 0xd2, 0xe2, 0x9e, 0xea, 0x87,
0x6a, 0x95, 0xba, 0xae, 0x27, 0x4d, 0x12, 0xc4, 0x58, 0x2a, 0x4c, 0x18, 0x68, 0x6b, 0x3b, 0xd6,
0xfa, 0xc5, 0x47, 0x0c, 0xfe, 0x40, 0x66, 0x5b, 0x0e, 0xe9, 0xe9, 0x01, 0x4f, 0x1c, 0x48, 0x52,
0x19, 0xc8, 0x9d, 0xa3, 0xbe, 0x81, 0x04, 0xa1, 0xd8, 0x4e, 0x6f, 0x6e, 0x80, 0xcd, 0xf7, 0x38,
0x63, 0x16, 0x1f, 0x27, 0x4e, 0x5e, 0x4a, 0xcb, 0xc8, 0x15, 0x62, 0x15, 0x9e, 0x4e, 0xbc, 0xfc,
0xa3, 0x26, 0x85, 0x54, 0xe0, 0x56, 0xb9, 0xef, 0xc0, 0x6c, 0x42, 0x87, 0x35, 0x9a, 0x28, 0xc1,
0x90, 0x2c, 0xa2, 0xc6, 0xbe, 0x9e, 0xbb, 0x11, 0x1b, 0x88, 0xa7, 0xea, 0x03, 0x82, 0x8b, 0xf5,
0xb5, 0x72, 0x76, 0xb8, 0x30, 0x2d, 0x07, 0xb3, 0x2f, 0x35, 0x48, 0xf5, 0xc5, 0x6c, 0xd3, 0x30,
0x98, 0x55, 0xe1, 0x68, 0x0d, 0x47, 0xcf, 0xbe, 0x29, 0x8f, 0xcf, 0x48, 0x7b, 0x79, 0x2d, 0xd8,
0xbf, 0x52, 0xce, 0x1d, 0xdc, 0xb2, 0x22, 0xe6, 0x86, 0x30, 0x98, 0x50, 0xf4, 0x56, 0x53, 0x49,
0x38, 0x5f, 0x6d, 0xce, 0xe9, 0x35, 0x2f, 0xcf, 0x44, 0x8a, 0x96, 0xe5, 0x0a, 0xd8, 0x62, 0x64,
0x1b, 0xfe, 0x38, 0x83, 0x36, 0x60, 0xd4, 0x31, 0xa4, 0x63, 0x4a, 0xd7, 0xa0, 0x9b, 0x1a, 0xca,
0x84, 0xaa, 0x30, 0xba, 0xea, 0xcc, 0x48, 0xb2, 0xb0, 0x51, 0xc5, 0x0e, 0xd6, 0x3b, 0x1b, 0xab,
0x20, 0x4a, 0xd0, 0xd9, 0xc8, 0xf3, 0x19, 0x63, 0x07, 0x10, 0x7c, 0xcd, 0xa6, 0x5a, 0xa5, 0xcd,
0x3b, 0x8e, 0x09, 0x7f, 0xf0, 0x54, 0xba, 0xc8, 0x2a, 0xbb, 0x1d, 0x0d, 0x76, 0xdd, 0xb1, 0x47,
0xed, 0xb9, 0x41, 0x25, 0x43, 0x97, 0x2d, 0x27, 0xc0, 0x89, 0x81, 0x69, 0xfb, 0x02, 0x21, 0xd3,
0xc6, 0x59, 0x65, 0x11, 0x42, 0xbc, 0x88, 0x98, 0xa0, 0x0a, 0xa1, 0xdc, 0xb1, 0xb7, 0x03, 0xc1,
0x64, 0x8f, 0x95, 0xb3, 0x37, 0x67, 0x87, 0x5f, 0xe5, 0xf1, 0x93, 0x27, 0xe7, 0x12, 0x62, 0x5e,
0x87, 0x52, 0x4b, 0x44, 0x5f, 0xe5, 0x45, 0x58, 0xc0, 0xfb, 0x06, 0xbc, 0x8a, 0xe0, 0xd4, 0xe5,
0x9f, 0xf3, 0x2c, 0x20, 0x30, 0x64, 0xfe, 0x46, 0xf5, 0xf3, 0xda, 0x53, 0x42, 0x8f, 0x99, 0x7d,
0xfb, 0x47, 0xb7, 0x4a, 0xbe, 0x66, 0xf6, 0xe1, 0x2e, 0x62, 0x87, 0x26, 0xce, 0x02, 0x9a, 0xe2,
0xeb, 0xca, 0x64, 0xc4, 0xaa, 0x0d, 0xbc, 0x9b, 0x1e, 0x32, 0xc3, 0xf8, 0xec, 0xaf, 0x1b, 0xdb,
0xff, 0x0c, 0x71, 0x69, 0xc6, 0xb2, 0xc0, 0x3a, 0x66, 0xee, 0xd2, 0xc9, 0x16, 0x4d, 0xaf, 0x24,
0xfa, 0x65, 0x18, 0x75, 0xfb, 0x45, 0x25, 0xa6, 0x26, 0xfb, 0x66, 0x2a, 0x15, 0x9c, 0x85, 0xf4,
0xda, 0x1d, 0x4f, 0x3b, 0xe2, 0x4d, 0x23, 0xeb, 0x8c, 0x57, 0xb1, 0xb5, 0x4c, 0x90, 0x23, 0x7f,
0x01, 0xfa, 0x06, 0x9d, 0x35, 0x4c, 0x6a, 0xb5, 0x79, 0xb9, 0x00, 0x17, 0x46, 0x46, 0x54, 0x45,
0x60, 0xed, 0xe8, 0x86, 0xc3, 0xde, 0x65, 0xdf, 0x5b, 0x40, 0x97, 0xcd, 0x77, 0x25, 0x41, 0xcd,
0xf2, 0x89, 0xbf, 0xfe, 0x55, 0xa1, 0xf9, 0xf5, 0x7a, 0x18, 0x2d, 0x6c, 0xec, 0x28, 0xed, 0xd1,
0x44, 0xa1, 0x98, 0x77, 0x73, 0x6f, 0xc0, 0x4c, 0x7f, 0x05, 0xc0, 0x9c, 0x19, 0xed, 0x90, 0x3c,
0x56, 0xb6, 0xf4, 0x86, 0x2f, 0x60, 0xb3, 0x1b, 0x95, 0x58, 0x26, 0x40, 0xc2, 0xc0, 0xda, 0x24,
0x26, 0xcb, 0x06, 0x26, 0x53, 0x30, 0x12, 0x35, 0x0b, 0xe5, 0x39, 0x80, 0x3a, 0xf7, 0xd5, 0xae,
0xb8, 0xcb, 0xea, 0xf6, 0x4c, 0x3d, 0x81, 0xb4, 0x1f, 0x97, 0x88, 0x2c, 0x9f, 0x9c, 0x70, 0x70,
0xd5, 0x34, 0xe8, 0x65, 0xb7, 0xdb, 0xb3, 0x33, 0x26, 0xcf, 0x95, 0xa3, 0x31, 0x6a, 0x90, 0x9f,
0xde, 0xd3, 0x17, 0x8a, 0x24, 0xdc, 0xe1, 0x57, 0xb8, 0x28, 0x70, 0x79, 0x52, 0xd7, 0x9d, 0x6b,
0x99, 0xbb, 0xf7, 0x14, 0x5e, 0xc0, 0x05, 0xff, 0xbc, 0x82, 0xc2, 0x20, 0x57, 0x6c, 0xbe, 0xbe,
0x71, 0xf7, 0xdb, 0x24, 0xc3, 0x33, 0xe6, 0x26, 0x50, 0x9a, 0xfc, 0xd6, 0x35, 0xb7, 0x42, 0xc4,
0x63, 0x22, 0x3d, 0x4c, 0x52, 0x1b, 0xf3, 0x6a, 0x38, 0x5c, 0x9b, 0xf5, 0x9b, 0xfb, 0x5f, 0x0b,
0x37, 0x9a, 0xf2, 0x25, 0xd3, 0xd9, 0xa7, 0xc5, 0x02, 0x0f, 0x86, 0xaa, 0xee, 0x71, 0x49, 0xa2,
0x22, 0xc2, 0x9d, 0x92, 0xc2, 0x3e, 0x8f, 0x26, 0x7f, 0x5c, 0x23, 0x62, 0xe4, 0xb5, 0xf5, 0x9e,
0xea, 0x2f, 0xbc, 0xe8, 0x4b, 0x4d, 0xd1, 0xbd, 0x2e, 0x39, 0x04, 0x56, 0xfc, 0x0f, 0xd3, 0xd6,
0x10, 0x16, 0xe5, 0x02, 0x11, 0x5c, 0xbc, 0x66, 0x90, 0xf1, 0xb7, 0xf6, 0x4f, 0x56, 0x0f, 0x87,
0x2c, 0xa8, 0xb6, 0xa9, 0x30, 0xf6, 0x17, 0x1b, 0xda, 0x2c, 0x2a, 0x75, 0x09, 0xcc, 0x32, 0xe2,
0x77, 0xc8, 0xd8, 0x98, 0x7b, 0xd4, 0x8a, 0x73, 0xda, 0xe2, 0x76, 0x78, 0x04, 0x82, 0xab, 0x11,
0x71, 0xe3, 0x73, 0x79, 0x5e, 0xdb, 0x86, 0x79, 0x52, 0x1d, 0x28, 0xc1, 0x87, 0xa8, 0x2f, 0xca,
0xbc, 0xb9, 0xba, 0x58, 0x4e, 0xb3, 0x89, 0x4d, 0x74, 0x88, 0x37, 0x36, 0xbb, 0x1d, 0x1d, 0xe8,
0xc9, 0xd4, 0xe8, 0xa4, 0x31, 0x17, 0x56, 0xf4, 0x72, 0xc0, 0x00, 0x58, 0x1c, 0x76, 0xab, 0x2d,
0x75, 0xe6, 0x90, 0x85, 0xbf, 0xdc, 0x57, 0x2f, 0xbe, 0xb1, 0xa9, 0x3c, 0xd1, 0xf6, 0x58, 0x80,
0xcf, 0x43, 0x60, 0xb4, 0x1b, 0x82, 0x02, 0x90, 0x3c, 0xad, 0xfc, 0xef, 0xc4, 0xce, 0x9a, 0xec,
0xea, 0x26, 0x57, 0xb9, 0x7e, 0xf7, 0x69, 0xa3, 0x06, 0x52, 0xc2, 0x51, 0x83, 0x8f, 0xf4, 0x0d,
0xb7, 0xa3, 0xfc, 0xae, 0x29, 0x81, 0xcc, 0xdc, 0xbb, 0x2d, 0xed, 0x38, 0xf4, 0x40, 0x7a, 0x16,
0x56, 0x11, 0x7f, 0x33, 0x50, 0x44, 0xc0, 0xb9, 0x77, 0x66, 0x6b, 0xce, 0x18, 0xd6, 0xdf, 0x39,
0x9e, 0xa6, 0xa1, 0xbd, 0xed, 0x0e, 0xd7, 0x14, 0xe1, 0xb9, 0x6a, 0x51, 0x4b, 0x5c, 0x00, 0xdc,
0xd7, 0xdb, 0x76, 0x69, 0xef, 0xfa, 0x2e, 0xcf, 0x4f, 0xa8, 0x2e, 0x59, 0x26, 0xa0, 0x55, 0x7e,
0x9b, 0x55, 0xfc, 0x7c, 0x32, 0xff, 0xbf, 0x08, 0x90, 0xb5, 0x7a, 0x4f, 0xf2, 0x26, 0x05, 0x85,
0xf6, 0x56, 0x7b, 0x56, 0x41, 0xdc, 0x95, 0xcf, 0x03, 0x45, 0xef, 0x78, 0x34, 0x30, 0x61, 0x9a,
0x44, 0x8f, 0xbc, 0xb5, 0x5c, 0xf4, 0x64, 0x2c, 0x13, 0x21, 0x3c, 0xa5, 0x1b, 0xe7, 0x9c, 0x60,
0x9b, 0x49, 0xe1, 0x34, 0x8a, 0xef, 0x72, 0xa7, 0xa9, 0x71, 0x6f, 0x32, 0x52, 0x64, 0x0a, 0xa0,
0x4a, 0xf3, 0xa2, 0xee, 0x16, 0x1a, 0xbe, 0x93, 0x0a, 0xa2, 0xd8, 0xb0, 0x82, 0x3b, 0x4d, 0x7d,
0x24, 0xe2, 0x09, 0xef, 0x6b, 0xdd, 0x92, 0x00, 0x6f, 0x76, 0xd1, 0x41, 0xde, 0xdb, 0xab, 0x6c,
0x39, 0x4d, 0x26, 0x54, 0xb4, 0x56, 0xce, 0x4c, 0x19, 0x95, 0x2a, 0x51, 0xa9, 0xf1, 0xad, 0x58,
0xf8, 0x6d, 0xeb, 0x32, 0xc2, 0x30, 0x03, 0x15, 0x0e, 0x9d, 0x76, 0x74, 0x5d, 0xe0, 0x62, 0xd9,
0xc3, 0x83, 0xe4, 0xd5, 0x33, 0x1d, 0x7b, 0xfe, 0x6f, 0x16, 0x5c, 0xaf, 0x34, 0xe9, 0x2c, 0x20,
0xca, 0x99, 0xac, 0x57, 0x47, 0x81, 0x0d, 0x57, 0x65, 0x33, 0x1a, 0x5b, 0x0c, 0xaa, 0x13, 0x00,
0xf9, 0x3d, 0x02, 0x2c, 0xc1, 0x23, 0x7d, 0x55, 0x47, 0xdb, 0x8b, 0xcb, 0x50, 0xc1, 0xd2, 0x95,
0xff, 0x0b, 0x8a, 0xb3, 0x38, 0x43, 0x51, 0xe1, 0x3b, 0x3b, 0xc3, 0x4b, 0x5e, 0xc9, 0xac, 0x0f,
0xb3, 0x81, 0x32, 0xf1, 0x2e, 0xa2, 0x51, 0xea, 0xb2, 0x85, 0x1a, 0x48, 0xee, 0x35, 0xa0, 0x86,
0x05, 0x14, 0x05, 0xc3, 0xf5, 0xe2, 0xa1, 0xdf, 0x47, 0xb0, 0xe2, 0x04, 0x21, 0x85, 0xbd, 0x0b,
0x00, 0x98, 0xe4, 0xdb, 0xe1, 0x7a, 0xf7, 0xfd, 0x7a, 0x92, 0x45, 0x15, 0x57, 0xd7, 0xcf, 0x18,
0xb7, 0xa3, 0xf2, 0xd5, 0xcf, 0x18, 0x7a, 0xe5, 0xa4, 0x4b, 0x0c, 0xe1, 0x66, 0xd9, 0x1b, 0x3f,
0x60, 0x47, 0x90, 0xd1, 0xe9, 0xb8, 0xf5, 0xa8, 0x36, 0x1f, 0xab, 0x7d, 0x85, 0x9a, 0x57, 0xc6,
0xdb, 0x9c, 0xf8, 0x90, 0xbf, 0xc7, 0xb7, 0xf5, 0xa3, 0x1d, 0x69, 0x6d, 0xe8, 0xda, 0x3d, 0xa6,
0xaa, 0x38, 0x55, 0x30, 0x9d, 0x7a, 0xc0, 0x6d, 0x42, 0xeb, 0xc6, 0x97, 0xf3, 0x84, 0xa1, 0x0a,
0x4c, 0x78, 0xc3, 0xdb, 0x9f, 0x29, 0x85, 0x08, 0x4d, 0x8f, 0xbe, 0x8e, 0xba, 0x68, 0x1a, 0x97,
0x74, 0xa7, 0xd2, 0xec, 0xb9, 0x8b, 0xbf, 0x8c, 0xd7, 0xb6, 0x2e, 0x3d, 0x3b, 0x7d, 0xf8, 0x84,
0x2b, 0x30, 0xe6, 0x40, 0x13, 0x53, 0xbe, 0x47, 0xd9, 0x14, 0x16, 0xdf, 0x05, 0xeb, 0xa3, 0x6c,
0x74, 0xd4, 0xba, 0x8d, 0xf5, 0x80, 0xab, 0xc8, 0x40, 0x3c, 0xd5, 0x00, 0x47, 0x86, 0x66, 0x73,
0x6b, 0x36, 0xc5, 0xa2, 0x81, 0x92, 0xd8, 0xfd, 0xde, 0x61, 0x34, 0xc3, 0x34, 0xaa, 0x1a, 0x40,
0x3c, 0x95, 0x8f, 0x75, 0x2f, 0xc6, 0x22, 0xbb, 0x45, 0xfa, 0x68, 0x10, 0xd7, 0x22, 0x09, 0x59,
0x36, 0x25, 0x45, 0x06, 0x9b, 0xa2, 0x33, 0xf9, 0x34, 0x63, 0xe2, 0x2b, 0x18, 0xa7, 0xbe, 0x25,
0xf2, 0xe6, 0x9d, 0x99, 0x97, 0xb1, 0x0d, 0x64, 0x3a, 0x53, 0xcb, 0xe5, 0x73, 0xc6, 0x47, 0x3c,
0x76, 0x87, 0xae, 0x74, 0x1f, 0x4f, 0x84, 0x2e, 0x4f, 0x10, 0xda, 0x4e, 0x32, 0x40, 0x71, 0xc4,
0xd9, 0xac, 0x85, 0x4c, 0x6e, 0x10, 0x37, 0x66, 0xcd, 0x49, 0x83, 0x20, 0xa7, 0xe7, 0x47, 0x70,
0xaf, 0x38, 0x6c, 0x95, 0x32, 0x6e, 0x7f, 0x21, 0x9e, 0x2b, 0xbd, 0x09, 0x6a, 0xe0, 0xd9, 0xdf,
0x27, 0x1e, 0x41, 0x0b, 0x1a, 0xc3, 0x6c, 0x83, 0x9f, 0x1a, 0x57, 0x5e, 0x94, 0x72, 0xc5, 0x8d,
0x9f, 0x61, 0xe4, 0x47, 0x56, 0xb1, 0x80, 0x32, 0x3c, 0x23, 0x4c, 0x21, 0x0d, 0xdd, 0x4e, 0x5f,
0x61, 0x8a, 0xcf, 0xee, 0x59, 0x87, 0x36, 0xe4, 0x0a, 0x24, 0x7c, 0x03, 0xda, 0x64, 0x76, 0x3c,
0x80, 0x04, 0x3c, 0x89, 0x91, 0x9e, 0x56, 0xba, 0x66, 0x98, 0xb2, 0xfc, 0x8d, 0x81, 0xdf, 0xf4,
0x3c, 0x0c, 0x0c, 0x03, 0xee, 0xd9, 0xb4, 0xb0, 0x0a, 0xcf, 0x6d, 0x0b, 0xf6, 0xe7, 0xa6, 0x21,
0x1c, 0xe7, 0x9f, 0xa5, 0x74, 0xea, 0x18, 0x3f, 0xf7, 0x2c, 0x3c, 0x09, 0x53, 0xd6, 0xcc, 0x71,
0xd7, 0x07, 0x9d, 0x3d, 0x59, 0xb4, 0xec, 0x86, 0xe9, 0x8b, 0xa0, 0x14, 0x99, 0xf8, 0xa6, 0x9b,
0x59, 0xe2, 0x6e, 0x73, 0x78, 0xe0, 0xf3, 0xcb, 0xce, 0x06, 0xd0, 0x1b, 0x70, 0xd8, 0x15, 0xc2,
0xbf, 0x04, 0xe8, 0xcb, 0x31, 0x1d, 0x04, 0x9f, 0x9d, 0xf2, 0xa1, 0x60, 0x1f, 0x63, 0x49, 0x64,
0x56, 0x3e, 0xa1, 0x64, 0xf2, 0xb0, 0xaa, 0xdc, 0x5f, 0xa3, 0x3b, 0x8d, 0x16, 0x07, 0xa1, 0xf3,
0xec, 0xc5, 0x7f, 0xe2, 0x1c, 0xeb, 0xb7, 0x81, 0xd3, 0xdf, 0x5f, 0xee, 0xa0, 0xe1, 0x82, 0x25,
0x7a, 0xe2, 0x3f, 0xce, 0x3b, 0x89, 0x1f, 0xbe, 0x73, 0x9e, 0xe4, 0x46, 0x11, 0x39, 0xfc, 0x6b,
0xe6, 0x99, 0xd6, 0x98, 0x9f, 0x8f, 0x19, 0x41, 0x90, 0x5d, 0xf1, 0x85, 0x94, 0xe7, 0x13, 0x91,
0xe3, 0x01, 0xfd, 0x41, 0x29, 0x1d, 0xcb, 0x11, 0x13, 0xcd, 0x4c, 0x92, 0x6c, 0x15, 0x7c, 0xd1,
0xbc, 0x50, 0x68, 0x4c, 0x46, 0xe3, 0x0f, 0x25, 0xd5, 0x6c, 0x3b, 0x53, 0x0b, 0x2f, 0x1d, 0xd2,
0x52, 0xca, 0x97, 0x29, 0x5c, 0xdf, 0x24, 0xa8, 0xc6, 0xbe, 0xd1, 0xc1, 0x14, 0x20, 0x24, 0x4f,
0xfa, 0xd4, 0xe5, 0xb0, 0x93, 0x45, 0xe1, 0xc9, 0xf2, 0xbe, 0x0d, 0xc2, 0xd1, 0x4c, 0xab, 0x2f,
0x85, 0xc1, 0x0b, 0x51, 0x40, 0x7c, 0xdf, 0x7f, 0x74, 0xa1, 0x3d, 0xb8, 0x4d, 0x4f, 0x26, 0x24,
0x11, 0x61, 0x64, 0xd3, 0x0e, 0x5b, 0x29, 0x87, 0x05, 0xfe, 0xb9, 0x78, 0xde, 0xad, 0xf9, 0xe8,
0xc4, 0x47, 0x4d, 0xfb, 0xa8, 0x54, 0x99, 0x50, 0x1d, 0xe7, 0xaf, 0x1a, 0x12, 0x20, 0x8d, 0xcd,
0xde, 0x8e, 0xf8, 0x26, 0x65, 0x8b,
};
unsigned char commit_0[] = {
0x09, 0x9e, 0x56, 0x8d, 0x5b, 0x9d, 0x2a, 0xd6, 0x1f, 0xe0, 0x81, 0x21, 0xcc, 0x15, 0xb3, 0x66,
0x6d, 0xb4, 0xbb, 0xac, 0xdd, 0x28, 0x08, 0xab, 0x21, 0x6e, 0x35, 0xac, 0xa7, 0xe0, 0x0a, 0xa8,
0xef,
};
test_rangeproof_fixed_vectors_reproducible_helper(vector_0, sizeof(vector_0), commit_0, &value_r, &min_value_r, &max_value_r, message_r, &m_len_r);
CHECK(value_r == value);
CHECK(m_len_r == m_len);
CHECK(secp256k1_memcmp_var(message_r, message, m_len_r) == 0);
CHECK(min_value_r == min_value);
CHECK(max_value_r == UINT64_MAX);
memset(message_r, 0, sizeof(message_r));
}
/* Test min_bits = 3 */
{
uint64_t value = 13;
size_t m_len = 128; /* maximum message length with min_bits = 3 */
/* Uncomment this to recreate test vector */
/* uint64_t min_value = 1; */
/* int min_bits = 3; */
/* int exp = 1; */
/* unsigned char proof[267]; */
/* size_t p_len = sizeof(proof); */
/* secp256k1_pedersen_commitment pc; */
/* CHECK(secp256k1_pedersen_commit(ctx, &pc, vector_blind, value, secp256k1_generator_h)); */
/* CHECK(secp256k1_rangeproof_sign(ctx, proof, &p_len, min_value, &pc, vector_blind, vector_nonce, exp, min_bits, value, message, m_len, NULL, 0, secp256k1_generator_h)); */
/* CHECK(p_len == sizeof(proof)); */
/* print_vector(1, proof, p_len, &pc); */
unsigned char vector_1[] = {
0x61, 0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x03, 0x01, 0xcb, 0xdc, 0xbe, 0x42, 0xe6,
0x44, 0x1e, 0xc4, 0x63, 0x9d, 0xb1, 0x93, 0x7b, 0x49, 0xdc, 0xd5, 0x6e, 0x55, 0xdd, 0x3b, 0x1e,
0x41, 0x1c, 0x0e, 0xd7, 0x47, 0xd7, 0xf0, 0x26, 0xf7, 0xe4, 0x36, 0xbd, 0x51, 0xb9, 0x77, 0x90,
0x33, 0xdd, 0x64, 0xe7, 0x47, 0x38, 0x49, 0x29, 0x12, 0xa8, 0x12, 0x79, 0xbc, 0x62, 0xea, 0xf9,
0xb5, 0x51, 0x8f, 0x51, 0xea, 0x28, 0x5d, 0x30, 0x9f, 0x30, 0xd5, 0x93, 0x31, 0x56, 0x61, 0x01,
0xd7, 0x7f, 0xa4, 0xec, 0xfc, 0xe5, 0x83, 0x52, 0x5a, 0xe0, 0x80, 0x76, 0x40, 0xb8, 0x8d, 0x67,
0x23, 0x46, 0x8c, 0xb8, 0x74, 0x2a, 0x20, 0x12, 0x86, 0x4d, 0xd8, 0x8c, 0x23, 0x73, 0x2f, 0xbe,
0x99, 0xa5, 0xd5, 0x8c, 0x11, 0xc7, 0xb2, 0xf9, 0xd3, 0x7c, 0x88, 0x16, 0x4d, 0x21, 0x80, 0x10,
0x70, 0xfc, 0x1f, 0x9b, 0x0b, 0x5e, 0xbe, 0xe3, 0x65, 0xe2, 0x4f, 0xbd, 0x1d, 0xb0, 0x64, 0x0a,
0xc5, 0xe0, 0x94, 0x8b, 0x49, 0xf7, 0xc4, 0x88, 0x5e, 0xc0, 0x2d, 0xbb, 0x98, 0x60, 0x5f, 0xd2,
0x7a, 0x9a, 0xff, 0x9e, 0x1c, 0x1f, 0x45, 0x34, 0x08, 0x96, 0xa9, 0xd3, 0xa5, 0x4d, 0x95, 0x9c,
0x1f, 0xe6, 0xe5, 0xdc, 0x32, 0xbb, 0x18, 0x4a, 0x76, 0x22, 0xe9, 0x75, 0x1f, 0x45, 0x6b, 0x81,
0x70, 0x4a, 0xc8, 0x00, 0x72, 0x7a, 0xc8, 0xee, 0xed, 0xc5, 0x19, 0x8f, 0xec, 0x7b, 0x4b, 0xfd,
0x7f, 0xc8, 0x51, 0xda, 0x28, 0x0e, 0x95, 0xd3, 0xc6, 0xc1, 0x29, 0x28, 0x3f, 0xd8, 0x3d, 0x41,
0xde, 0xdf, 0xfc, 0x2b, 0x71, 0x3a, 0xdb, 0x78, 0xa4, 0x0e, 0x50, 0xb8, 0xf9, 0xae, 0xdb, 0x7b,
0xb1, 0x31, 0x81, 0xc2, 0xf2, 0xb5, 0x01, 0x64, 0x8e, 0x86, 0xe2, 0x8b, 0x67, 0x13, 0xec, 0x7e,
0xf5, 0xad, 0x9d, 0x57, 0x2b, 0x5d, 0x0c, 0x94, 0xa9, 0x89, 0x92,
};
unsigned char commit_1[] = {
0x09, 0xe5, 0xb3, 0x27, 0x82, 0x88, 0xeb, 0x21, 0xcd, 0xb2, 0x56, 0x37, 0x61, 0x84, 0xce, 0xc1,
0x66, 0x16, 0x2e, 0x44, 0xc8, 0x65, 0x8e, 0xe6, 0x3a, 0x1a, 0x57, 0x2c, 0xb9, 0x6c, 0x07, 0x85,
0xf0,
};
test_rangeproof_fixed_vectors_reproducible_helper(vector_1, sizeof(vector_1), commit_1, &value_r, &min_value_r, &max_value_r, message_r, &m_len_r);
CHECK(value_r == value);
CHECK(m_len_r == m_len);
CHECK(secp256k1_memcmp_var(message_r, message, m_len_r) == 0);
CHECK(min_value_r == 3);
CHECK(max_value_r == 73);
memset(message_r, 0, sizeof(message_r));
}
/* Test large min_value */
{
uint64_t value = INT64_MAX;
size_t m_len = 0; /* maximum message length with min_bits = 3 */
/* Uncomment this to recreate test vector */
/* uint64_t min_value = INT64_MAX-1; */
/* int min_bits = 1; */
/* int exp = 0; */
/* unsigned char proof[106]; */
/* size_t p_len = sizeof(proof); */
/* secp256k1_pedersen_commitment pc; */
/* CHECK(secp256k1_pedersen_commit(ctx, &pc, vector_blind, value, secp256k1_generator_h)); */
/* CHECK(secp256k1_rangeproof_sign(ctx, proof, &p_len, min_value, &pc, vector_blind, vector_nonce, exp, min_bits, value, message, m_len, NULL, 0, secp256k1_generator_h)); */
/* CHECK(p_len == sizeof(proof)); */
/* print_vector(2, proof, p_len, &pc); */
unsigned char vector_2[] = {
0x60, 0x00, 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0x81, 0xd8, 0x21, 0x12, 0x4d, 0xa4,
0x84, 0xdd, 0x2c, 0xd1, 0x04, 0xe7, 0x08, 0x9a, 0xd3, 0x6f, 0xa5, 0xd8, 0xfc, 0x52, 0x4c, 0xba,
0xf0, 0x83, 0xeb, 0x76, 0x9f, 0x1c, 0x03, 0xe3, 0xcf, 0x23, 0x1e, 0x40, 0x18, 0xc6, 0x6d, 0xf9,
0x25, 0x56, 0x80, 0x3c, 0x83, 0xdd, 0x58, 0x36, 0x43, 0xe3, 0x56, 0xa0, 0xb7, 0xf0, 0x0e, 0xf9,
0xe2, 0x8b, 0x82, 0x5a, 0x77, 0xa7, 0xbe, 0x36, 0x98, 0x10, 0x99, 0x2e, 0xaa, 0x21, 0x24, 0xe6,
0x78, 0xa8, 0xcc, 0xc7, 0x06, 0x1c, 0x06, 0xb0, 0x03, 0x87, 0x86, 0x89, 0xce, 0x85, 0x88, 0xea,
0xa1, 0x9d, 0x4d, 0xfd, 0x8d, 0x65, 0xbd, 0xa9, 0xd0, 0x0f,
};
unsigned char commit_2[] = {
0x09, 0x2a, 0x74, 0xa1, 0x9c, 0xee, 0xcb, 0x6a, 0xd1, 0xa7, 0x97, 0xbe, 0x97, 0xe7, 0xb6, 0x37,
0x90, 0x96, 0xc2, 0x5a, 0xe5, 0xfc, 0xed, 0x91, 0xff, 0x4c, 0x67, 0x07, 0x96, 0x1d, 0x2a, 0xb3,
0x70,
};
test_rangeproof_fixed_vectors_reproducible_helper(vector_2, sizeof(vector_2), commit_2, &value_r, &min_value_r, &max_value_r, message_r, &m_len_r);
CHECK(value_r == value);
CHECK(m_len_r == m_len);
CHECK(secp256k1_memcmp_var(message_r, message, m_len_r) == 0);
CHECK(min_value_r == INT64_MAX-1);
CHECK(max_value_r == INT64_MAX);
memset(message_r, 0, sizeof(message_r));
}
}
void test_pedersen_commitment_fixed_vector(void) {
const unsigned char two_g[33] = {
0x09,
@ -1013,6 +1538,7 @@ void run_rangeproof_tests(void) {
test_single_value_proof(UINT64_MAX);
test_rangeproof_fixed_vectors();
test_rangeproof_fixed_vectors_reproducible();
test_pedersen_commitment_fixed_vector();
for (i = 0; i < count / 2 + 1; i++) {
test_pedersen();