rct: add a zeroCommit cache for common pre-rct case

This is called for every pre-rct output at blockchain sync time,
and a lot of them wil hit the cache, saving a scalarmult each.

1 files changed, 186 insertions, 0 deletions

diff --git a/src/ringct/rctOps.cpp b/src/ringct/rctOps.cpp
index 41bbf6ca3..c64ee4daf 100644
--- a/src/ringct/rctOps.cpp
+++ b/src/ringct/rctOps.cpp
@@ -30,6 +30,7 @@
 
 #include <boost/lexical_cast.hpp>
 #include "misc_log_ex.h"
+#include "cryptonote_basic/cryptonote_format_utils.h"
 #include "rctOps.h"
 using namespace crypto;
 using namespace std;
@@ -39,6 +40,183 @@ using namespace std;
 
 #define CHECK_AND_ASSERT_THROW_MES_L1(expr, message) {if(!(expr)) {MWARNING(message); throw std::runtime_error(message);}}
 
+struct zero_commitment { uint64_t amount; rct::key commitment; };
+static const zero_commitment zero_commitments[] = {
+  { (uint64_t)0ull, {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} },
+  { (uint64_t)1ull, {0x17, 0x38, 0xeb, 0x7a, 0x67, 0x7c, 0x61, 0x49, 0x22, 0x8a, 0x2b, 0xea, 0xa2, 0x1b, 0xea, 0x9e, 0x33, 0x70, 0x80, 0x2d, 0x72, 0xa3, 0xee, 0xc7, 0x90, 0x11, 0x95, 0x80, 0xe0, 0x2b, 0xd5, 0x22} },
+  { (uint64_t)2ull, {0x76, 0x24, 0x84, 0x63, 0xa, 0x6, 0x17, 0x17, 0x8d, 0xe, 0x33, 0xf3, 0x2e, 0xe, 0x11, 0x3e, 0xa8, 0x46, 0x86, 0x9d, 0x46, 0x4b, 0xb, 0x6f, 0xf1, 0x3b, 0x29, 0x97, 0x4, 0x9c, 0xda, 0x7d} },
+  { (uint64_t)3ull, {0xcf, 0xf7, 0x7b, 0x56, 0x62, 0x1c, 0x4f, 0xef, 0x74, 0xcf, 0x37, 0xc1, 0x78, 0xd4, 0xb5, 0x8a, 0xf4, 0xad, 0x8c, 0xd4, 0x35, 0xfc, 0xb9, 0x62, 0x76, 0xbc, 0x15, 0x9c, 0x7c, 0x6a, 0x28, 0x8c} },
+  { (uint64_t)4ull, {0x9a, 0xb8, 0x6c, 0x31, 0xf4, 0x22, 0xd8, 0x21, 0xb5, 0x22, 0x57, 0x30, 0xd1, 0xbf, 0x73, 0xa, 0x9b, 0x91, 0xd2, 0xee, 0xe3, 0x14, 0xb8, 0x4e, 0xbd, 0x4b, 0x93, 0xa6, 0x81, 0x61, 0x82, 0x66} },
+  { (uint64_t)5ull, {0x32, 0xee, 0x2f, 0x65, 0x9a, 0xf6, 0x38, 0x58, 0xc2, 0xf7, 0xdc, 0x11, 0x1b, 0x3b, 0xb8, 0xfe, 0xc0, 0x2c, 0xac, 0x42, 0x38, 0x3b, 0xb7, 0x36, 0xde, 0x1, 0x8, 0x6f, 0x38, 0xf0, 0x12, 0x3c} },
+  { (uint64_t)6ull, {0x47, 0x26, 0x2b, 0x1e, 0xa6, 0x43, 0x1, 0x6e, 0x38, 0x24, 0x17, 0x53, 0xa4, 0xfb, 0x39, 0x92, 0x9e, 0x31, 0xea, 0x9b, 0xd3, 0x41, 0x1a, 0xb1, 0x7f, 0x16, 0x6e, 0x61, 0xf6, 0xc, 0xe5, 0xa7} },
+  { (uint64_t)7ull, {0xc6, 0x32, 0x93, 0x68, 0x79, 0x9a, 0xd, 0xed, 0x4c, 0x20, 0x25, 0x6b, 0xff, 0xe6, 0x45, 0x47, 0xf1, 0x7b, 0xc4, 0x23, 0x95, 0x4, 0xbe, 0x82, 0x4d, 0xff, 0x8a, 0x2b, 0xe1, 0xaf, 0xe3, 0xcd} },
+  { (uint64_t)8ull, {0xd5, 0xf1, 0x50, 0x74, 0x33, 0x46, 0x19, 0xf, 0x84, 0x2b, 0x6, 0xb8, 0xfa, 0xe1, 0x20, 0xeb, 0x85, 0x24, 0x7e, 0x9f, 0x6d, 0xec, 0x88, 0xff, 0xa2, 0x23, 0xbf, 0x69, 0x94, 0xe9, 0xc8, 0xc2} },
+  { (uint64_t)9ull, {0x56, 00, 0x23, 0x32, 0x9e, 0xc0, 0xfa, 0xf3, 0x3b, 0x5e, 0x3a, 0x5c, 0xb4, 0xea, 0xef, 0xee, 0x38, 0xf8, 0x96, 0x1c, 0x88, 0xb6, 0x6a, 0x2f, 0x19, 0xd4, 0x59, 0x51, 0x96, 0x9c, 0x6d, 0x1f} },
+  { (uint64_t)10ull, {0x3, 0x80, 0xdc, 0x24, 0xcc, 0x97, 0xcc, 0xe6, 0x58, 0xc3, 0xa9, 0x47, 0xc5, 0x10, 0x25, 0xde, 0x1a, 0x69, 0x80, 0x3b, 0xdb, 0x50, 0x5, 0xe3, 0xb7, 0xdd, 0xa9, 0xd, 0x68, 0x59, 0xb0, 0x1c} },
+  { (uint64_t)20ull, {0x9, 0x3, 0xf6, 0x2e, 0x97, 0x76, 0x47, 0x58, 0xfe, 0xf8, 0x9e, 0x5b, 0xec, 0x29, 0xef, 0x4f, 0xc5, 0xe6, 0x45, 0x4b, 0x2d, 0x47, 0x44, 0x47, 0x36, 0x4, 0x4c, 0x25, 0x2e, 0xe2, 0x8e, 0xba} },
+  { (uint64_t)30ull, {0xa2, 0x8b, 0x89, 0xe0, 0xb, 0xed, 0x62, 0x31, 0x68, 0x5b, 0xf9, 0x74, 0x36, 0xf2, 0xba, 0x51, 0xa2, 0x51, 0x55, 0x7f, 0x8d, 0x17, 0xa, 0x78, 0xe3, 0x12, 0xd6, 0x24, 0xbf, 0x60, 0xff, 0xfe} },
+  { (uint64_t)40ull, {0xb5, 0xc6, 0x95, 0x55, 0x6a, 0x28, 0x47, 0xb2, 0xe, 0x1c, 0xbb, 0x26, 0xe6, 0xa9, 0xc6, 0x8a, 0x61, 0xc5, 0x50, 0xce, 0xb7, 0xc3, 0x4, 0xfe, 0x92, 0x28, 0x3d, 0x29, 0xa9, 0xb2, 0x43, 0xcb} },
+  { (uint64_t)50ull, {0x12, 0x8e, 0xc6, 0xcd, 0xc0, 0x6b, 0x43, 0xc5, 0xd0, 0x9c, 0x3f, 0x65, 0x2a, 0xe3, 0x44, 0x7f, 0x9b, 0x3f, 0x2c, 0x30, 0x91, 0x2d, 0xf0, 0x80, 0x37, 00, 0x85, 0xbc, 0xc, 0x9, 0xef, 0x78} },
+  { (uint64_t)60ull, {0x1f, 0x9f, 0x40, 0x3a, 0xae, 0xa7, 0x16, 0xfb, 0xe2, 0x98, 0xa8, 0x14, 0xf1, 0xee, 0xbc, 0x1b, 0x73, 0x16, 0x8c, 0x37, 0xfa, 0xe3, 0x16, 0xeb, 0x65, 0x5, 0x81, 0x6f, 0xc2, 0x20, 0xeb, 0xfb} },
+  { (uint64_t)70ull, {0x10, 0xa2, 0x38, 0xc5, 0xe4, 0x8e, 0x4b, 0x93, 0x99, 0xdb, 0xa6, 0xcb, 0xd9, 0x8e, 0x63, 0x54, 0x41, 0x59, 0xe9, 0x8c, 0x93, 0x5a, 0xc0, 0x60, 0x3d, 0x72, 0xde, 0xf, 0xff, 0x31, 0x53, 0xbb} },
+  { (uint64_t)80ull, {0x75, 0xab, 0x78, 0xc7, 0x28, 0x1f, 0x69, 0x28, 0xf0, 0x94, 0x86, 0x5, 0x7a, 0x63, 0x64, 0x18, 0x27, 0xc5, 0x74, 0x84, 0xe3, 0xe9, 0x9a, 0x39, 0xf3, 0x12, 0xa4, 0x3a, 0x51, 0x9b, 0xda, 0x8} },
+  { (uint64_t)90ull, {0xe9, 0x56, 0x7b, 0xa7, 0x88, 0xb8, 0x5b, 0x82, 0xc8, 0x65, 0x7a, 0x15, 0xa5, 0x48, 0x99, 0x5c, 0xf6, 0xb0, 0xbd, 0xd1, 0xc6, 0x2a, 0xda, 0x77, 0x55, 0xf2, 0x32, 0x3a, 0xd8, 0xa4, 0x8, 0x51} },
+  { (uint64_t)100ull, {0xb6, 0x17, 0x36, 0xd5, 0xf2, 0x8d, 0xef, 0x28, 0x61, 0x6a, 0xfc, 0x47, 0x93, 0xe9, 0x9b, 0x27, 0xcd, 0x3e, 0x89, 0xfb, 0x91, 0xc1, 0x13, 0xd4, 0x30, 0x73, 0x65, 0xfb, 0x75, 0xde, 0xdf, 0x88} },
+  { (uint64_t)200ull, {0x71, 0x3, 0xeb, 0x72, 0x19, 0x28, 0xd7, 0x91, 0x99, 0x87, 0xf3, 0x50, 0xca, 0xa5, 0x7a, 0xe7, 0xb0, 0x81, 0x57, 0x15, 0x3b, 0x4c, 0x43, 0xd, 0x3e, 0xde, 0xc0, 0xc2, 0x3, 0x7, 0x97, 0x44} },
+  { (uint64_t)300ull, {0x24, 0x40, 0x9e, 0x92, 0x2e, 0xce, 0xd1, 0xa0, 0x5e, 0x4e, 0xac, 0xa3, 0xdf, 0x91, 0x19, 0xc3, 0x8a, 0x92, 0x2e, 0xb, 0x66, 0xd0, 0x2d, 0x9d, 0xd2, 0xfb, 0x1d, 0xcc, 0x20, 0xb9, 0xaf, 0xc7} },
+  { (uint64_t)400ull, {0xa7, 0x72, 0x9f, 0xa9, 0x32, 0x81, 0x82, 0x99, 0x34, 0x11, 0x5d, 0x47, 0x5a, 0x67, 0x86, 0xa, 0x14, 0x12, 0xc5, 0xe5, 0x95, 0x12, 0x20, 0xd9, 0x60, 0xc2, 0x41, 0xa0, 0x19, 0x1a, 0x9e, 0x65} },
+  { (uint64_t)500ull, {0x2e, 0x53, 0xc, 0x6, 0x1c, 0x6d, 0x9e, 0x97, 0xab, 0xaf, 0x46, 0x8c, 0x32, 0xb0, 0xad, 0xa7, 0x49, 0x22, 0x57, 0x72, 0xfc, 0xd1, 0x17, 0x41, 0xcb, 0x5c, 0x3, 0x5c, 0xdd, 0x26, 0x14, 0xe} },
+  { (uint64_t)600ull, {0xa5, 0xb, 0x91, 0x9, 0x9d, 0xf1, 0xb1, 0x69, 0x4f, 0x30, 0xb5, 0x8f, 0xe6, 0x77, 0x68, 0x50, 0xdb, 0xdb, 0xf4, 0x6c, 0xed, 0x99, 0x7f, 0x52, 0x62, 0xa8, 0x51, 0x59, 0x40, 0x74, 0xa5, 0x9d} },
+  { (uint64_t)700ull, {0x51, 0x2c, 0xf, 0xae, 0xcc, 0xbe, 0xf2, 0xfe, 0xe5, 0x75, 0x4c, 0x6a, 0x45, 0xfd, 0xc0, 0x75, 0x2d, 0x4f, 0x15, 0x22, 0xe7, 0x7f, 0xf0, 0xc4, 0x8d, 0xcb, 0x19, 0x91, 0x8a, 0x68, 0x84, 0xe0} },
+  { (uint64_t)800ull, {0xda, 0xa9, 0xf9, 0xa5, 0xb9, 0x71, 0x33, 0x33, 0xe9, 0x8c, 0x5, 0xac, 0xe7, 0x27, 0xcc, 0xe, 0x7d, 0xc3, 0xf1, 0x59, 0x49, 0xe1, 0xef, 0x4d, 0x94, 0xfa, 0x47, 0xd6, 0x8a, 0x34, 0xc6, 0x75} },
+  { (uint64_t)900ull, {0xc7, 0x2b, 0x18, 0xc9, 0x17, 0xcd, 0x43, 0xee, 0x78, 0x40, 0x5e, 0x39, 0x83, 0x98, 0xb8, 0x3a, 0xc0, 0x97, 0x7b, 0x25, 0x19, 0x90, 0xd8, 0x13, 0xc, 0x38, 0xba, 0x53, 0xb6, 0x3d, 0xb4, 0xf7} },
+  { (uint64_t)1000ull, {0x1, 0xdf, 0x60, 0x91, 0xeb, 0x6a, 0x48, 0xe9, 0xe4, 0x22, 0x25, 0xb, 0xe3, 0x83, 0x88, 0xc8, 0x61, 0xb6, 0x55, 0x55, 0xa7, 0x20, 0xad, 0x15, 0x35, 0x86, 0xfe, 0x2b, 0xd2, 0x2f, 0xa2, 0x3d} },
+  { (uint64_t)2000ull, {0x24, 0xf5, 0xb1, 0x34, 0x78, 0x46, 0xaf, 0x22, 0xb5, 0x6f, 0x41, 0x25, 0xb3, 0xe7, 0x67, 0x8c, 0xf8, 0x4b, 0x4f, 0xd2, 0xf9, 0x2e, 0x1c, 0x40, 0xaa, 0x3a, 0x1b, 0xe0, 0xc7, 0x4d, 0x95, 0xe6} },
+  { (uint64_t)3000ull, {0xa7, 0x1c, 0x9a, 0x8f, 0x40, 0xc1, 0x25, 0x9c, 0x36, 0x26, 0x27, 0x73, 0xe0, 0x8, 0x20, 0x18, 0x3e, 0x6b, 0x59, 0xe0, 0x71, 0xc9, 0x9b, 0x34, 0x9b, 0xef, 0x8f, 0x7e, 0xd2, 0xc6, 0xad, 0xb9} },
+  { (uint64_t)4000ull, {0x98, 0xdc, 0x74, 0xaf, 0x19, 0x89, 0xd3, 0x4b, 0x64, 0x2e, 0xb3, 0x6, 0x2d, 0xbc, 0x9d, 0xca, 0xd8, 0x1, 0xc5, 0x65, 0x27, 0x6, 0x93, 0x99, 0xe7, 0xc4, 0x11, 0xad, 0x14, 0x28, 0x82, 0xf6} },
+  { (uint64_t)5000ull, {0x61, 0x76, 0xac, 0x4a, 0xc0, 0x6, 0x5e, 0x49, 0xd6, 0xc4, 0x41, 0xcf, 0x40, 0x4f, 0xad, 0xda, 0xad, 0x44, 0x93, 0xe, 0xf0, 0x3c, 0x68, 0x9, 0xad, 0xd7, 0x77, 0xe4, 0x2f, 0xee, 0x7f, 0x10} },
+  { (uint64_t)6000ull, {0x78, 0x79, 0x4, 0x65, 0xf6, 0x60, 0x5b, 0x5a, 0x84, 0x77, 0x36, 0x5a, 0xa6, 0xc2, 0xa4, 0xa5, 0x84, 0x91, 0xc, 0x23, 0x95, 0x2, 0x92, 0x97, 0x52, 0x49, 0xa1, 0xad, 0x7d, 0xf0, 0xf7, 0xe8} },
+  { (uint64_t)7000ull, {0x20, 0xa5, 0x60, 0x6b, 0x60, 0x23, 0x95, 0xd6, 0x8e, 0x2f, 0xad, 0x8e, 0xc6, 0x7f, 0x92, 0xde, 0x89, 0xc6, 0x3e, 0x1e, 0x7f, 0xc1, 0xdd, 0x7f, 0x92, 0xff, 0xed, 0xb8, 0xf6, 0x55, 0xfb, 0xd} },
+  { (uint64_t)8000ull, {0x9a, 0x78, 0x97, 0x43, 0x98, 0x65, 0x17, 0xd9, 0x5f, 0x4e, 0x80, 0x8b, 0xeb, 0xe6, 0x52, 0xd, 0xe6, 0xcf, 0x8c, 0x51, 0x35, 0xab, 0x36, 0x8, 0x7e, 0x87, 0xe2, 0x76, 0xac, 0x6a, 0x34, 0x1} },
+  { (uint64_t)9000ull, {0x5f, 0xc7, 0xaa, 0x48, 0xbb, 0x19, 0x13, 0x58, 0xc7, 0xe3, 0x4d, 0x24, 0xcf, 0x9c, 0x31, 0x16, 0x74, 0x12, 0x7a, 0xb2, 0x45, 0xd0, 0x8f, 0x4e, 0x2c, 0xfd, 0xbf, 0x8f, 0x5, 0xc9, 0x5b, 0xf5} },
+  { (uint64_t)10000ull, {0x61, 0x20, 0xe7, 0x76, 0xe9, 0x12, 0xab, 0x10, 0x5a, 0x49, 0xf9, 0xda, 0x2, 0xa6, 0x75, 0x17, 0xc0, 0xa9, 0xb, 0x2b, 0x3e, 0x2d, 0xa3, 0xd, 0xff, 0x34, 0x39, 0x93, 0xdb, 0xec, 0x95, 0x97} },
+  { (uint64_t)20000ull, {0x77, 0xbf, 0xb5, 0x37, 0xac, 0xa, 0xbc, 0x41, 0xaa, 0x21, 0xd0, 0xec, 0xd9, 0x18, 0x13, 0x34, 0xd8, 0x6b, 0xa7, 0x86, 0x5a, 0x94, 0x47, 0xf5, 0xc1, 0x58, 0x9a, 0x81, 0xd7, 0xef, 0xb3, 0xbb} },
+  { (uint64_t)30000ull, {0x35, 0xf4, 0x5, 0xa9, 0x5f, 0x75, 0x19, 0x2a, 0xe9, 0xc0, 0xd4, 0xf5, 0x88, 0x84, 0x47, 0x14, 0xf6, 0x85, 0x1b, 0x97, 0xce, 0xbd, 0x9f, 0x7c, 0x2, 0xc5, 0xdd, 0xd7, 0xbf, 0x58, 0xff, 0x31} },
+  { (uint64_t)40000ull, {0x77, 0x55, 0xbb, 0x3f, 0x38, 0x7c, 0x21, 0xb8, 0xa0, 0xf4, 0x48, 0x1f, 0xbf, 0xa8, 0x8a, 0xbe, 0xee, 0xce, 0xc7, 0x56, 0x53, 0xfc, 0xa1, 0x89, 0x58, 0x39, 0xc1, 0xba, 0x6, 0x47, 0x9f, 0x96} },
+  { (uint64_t)50000ull, {0x8b, 0x7e, 0x84, 0xa3, 0x37, 0xb7, 0xb9, 0xcd, 0x5d, 0xb3, 0x63, 0x33, 0x8, 0xad, 0x51, 0x86, 0xa3, 0x59, 0xd, 0xff, 0xb8, 0x23, 0x1e, 0x2f, 0x31, 0xfd, 0x20, 0x42, 0x54, 0x9f, 0xfb, 0xe2} },
+  { (uint64_t)60000ull, {0xef, 0xfd, 0xa6, 0x25, 0x15, 0xea, 0xb1, 0xbc, 0x1e, 0xbd, 0x74, 0x92, 0x94, 0x9b, 0x1, 0x22, 0xc3, 0x9f, 0x71, 0xa, 0x65, 0x16, 0xec, 0x66, 0x8c, 0x37, 0x61, 0xe6, 0xcc, 0x36, 0x1f, 0x25} },
+  { (uint64_t)70000ull, {0x16, 0xba, 0x89, 00, 0xf3, 0x6f, 0xf, 0x6c, 0x46, 0x1c, 0xb, 0xe7, 0x64, 0xae, 0xee, 0x48, 0x86, 0x6, 0xb0, 0x53, 0xed, 0xdc, 0x10, 0xb5, 0x9a, 0x3e, 0xde, 0xcd, 0x23, 0xd4, 0x4f, 0xc0} },
+  { (uint64_t)80000ull, {0x4d, 0xd4, 0x70, 0x3b, 0x7b, 0x7f, 0xcf, 0xe7, 0x2a, 0x2e, 0x4f, 0x31, 0xa4, 0x34, 0x17, 0xf9, 0xc0, 0xda, 0x64, 0x2f, 0xd0, 0xa9, 0x29, 0xb8, 0xf5, 0xed, 0xd8, 0x3, 0x7f, 0x93, 0xc5, 0xb3} },
+  { (uint64_t)90000ull, {0x8e, 0xfc, 0x3, 0x20, 0x40, 0xbd, 0x90, 0x41, 0xda, 0x3d, 0xb0, 0x9b, 0xa1, 0x3d, 0xa2, 0xa5, 0xd1, 0xb8, 0x12, 0x3, 0xa, 0x5a, 0x36, 0x7c, 0x58, 0x94, 0xbd, 0x54, 0x11, 0x9, 0xe7, 0x30} },
+  { (uint64_t)100000ull, {0xbd, 0x2e, 0xb1, 0x97, 0x83, 0x57, 0x1c, 0xf2, 0x22, 0x2c, 0x81, 0xb, 0x69, 0xf, 0xc7, 0x66, 0x64, 0x57, 0xae, 0x20, 0x92, 0x5b, 0x90, 0x5, 0xce, 0xe6, 0x1d, 0xf2, 0x66, 0x6f, 0xdc, 0xb7} },
+  { (uint64_t)200000ull, {0x83, 0xd4, 0xcd, 0xdd, 0xc1, 0x44, 0x87, 0x32, 0xf2, 0x97, 0x7c, 0x41, 0xaa, 0xa7, 0x1f, 0xe6, 0xde, 0x9c, 0x17, 0x6d, 0xa8, 0x99, 0xee, 0xbf, 0xfc, 0x1b, 0xb, 0xa9, 0xea, 0x92, 0x97, 0x90} },
+  { (uint64_t)300000ull, {0xcc, 0xc0, 0x6b, 0x44, 0xc3, 0x1, 0x38, 0x6, 0x30, 0x45, 0xed, 0x1, 0xd2, 0x45, 0xd8, 0x14, 0x3, 0xb6, 0x36, 0x52, 0xeb, 0xc4, 0xf9, 0x96, 0x7f, 0xd, 0x7f, 0x38, 0x69, 0x7f, 0x46, 0x16} },
+  { (uint64_t)400000ull, {0x1b, 0xbf, 0xe7, 0xe, 0xca, 0xf1, 0xdd, 0xd7, 0xf1, 0x2, 0x36, 0xf6, 0x8a, 0x41, 00, 0xb, 0x5d, 0xab, 0x2d, 0x47, 0x5c, 0xb9, 0x2f, 0x62, 0xc2, 0xd6, 0x84, 0xcf, 0x57, 0x69, 0xfb, 0x84} },
+  { (uint64_t)500000ull, {0xf1, 0xb1, 0xcd, 0xaa, 0x78, 0x14, 0x95, 0x36, 0xf, 0x53, 0x31, 0x81, 0xaa, 0x58, 0xc8, 0xbd, 0xae, 0x6a, 0x77, 0x98, 0xd0, 0x2d, 0xab, 0x6d, 0x56, 0x26, 0x81, 0x27, 0x67, 0x9, 0xe7, 0x1} },
+  { (uint64_t)600000ull, {0xd5, 0x26, 0x7d, 0x60, 0xd4, 0xfe, 0x9b, 0xc5, 0xfe, 0xfa, 0x7d, 0x3f, 0xe0, 0x7c, 0xd1, 0xfa, 0xd4, 0x55, 0x73, 0xd5, 0xae, 0x19, 0x10, 0xda, 0x7, 0x3e, 0x6d, 0x2d, 0xf9, 0xe2, 0x4, 0x39} },
+  { (uint64_t)700000ull, {0xb, 0x58, 0x11, 0x25, 0xc2, 0xc4, 0x83, 0xc9, 0xa3, 0xd8, 0xbc, 0x8, 0x32, 0x2f, 0x26, 0xaa, 0x1f, 0xc5, 0xe, 0x41, 0x53, 0x2c, 0x1b, 0x9d, 0xf6, 0x26, 0xb0, 0x9, 0xd7, 0x88, 0x67, 0xcf} },
+  { (uint64_t)800000ull, {0xf5, 0xb3, 0xd1, 0x8f, 0x66, 0xd0, 0xf9, 0x17, 0x5c, 0x30, 0x83, 0xb5, 0xf8, 0x7, 0x8e, 0xaf, 0xa8, 0x9e, 0xf8, 0x1d, 0xe7, 0x15, 0x8, 0xbc, 0x25, 0x1f, 0x5c, 0x5f, 0xe7, 0x25, 0x2e, 0x6} },
+  { (uint64_t)900000ull, {0x1, 0xde, 0x40, 0x2c, 0x4b, 00, 0x43, 0x4, 0x2e, 0xae, 0x9e, 0xde, 0xa1, 0x49, 0x2b, 0x9d, 0x82, 0xb7, 0xbc, 0x36, 0x68, 0xe9, 0xb5, 0x84, 0xb0, 0x31, 0x3d, 0x44, 0x50, 0x53, 0x40, 0x74} },
+  { (uint64_t)1000000ull, {0x53, 0x4b, 0x85, 0xc7, 0x89, 0x3f, 0x66, 0xf0, 0x26, 0xb6, 0x5e, 0xd7, 0xe7, 0xa4, 0xb8, 0xc9, 0xf4, 0xb, 0xe3, 0x1b, 0xcd, 0xa, 0x3d, 0xcd, 0x27, 0xc4, 0x71, 0x2, 0x56, 0x51, 0x65, 0x3} },
+  { (uint64_t)2000000ull, {0xcd, 0xb5, 0xda, 0xfa, 0x53, 0x10, 0xf5, 0x26, 0x2f, 0xfc, 0x9, 0x26, 0xd0, 0xdf, 0x6e, 0xeb, 0xee, 0x2d, 0x52, 0xa9, 0x8d, 0xc6, 0x9f, 0xd, 0xc5, 0xe4, 0xeb, 0xf0, 0xc1, 0xa8, 0x77, 0x2e} },
+  { (uint64_t)3000000ull, {0x9e, 0x75, 0x63, 0xf0, 0x33, 0x59, 0xea, 0x31, 0xe2, 0x91, 0xe7, 0xf0, 0xb8, 0x74, 0x17, 0xbc, 0xf5, 0xb2, 0x34, 0xee, 0x8b, 0x7e, 0x5b, 0x4, 0x41, 0x73, 0xbf, 00, 0x46, 0x86, 0x7c, 0x57} },
+  { (uint64_t)4000000ull, {0xfd, 0x2a, 0xeb, 0xd, 0x5e, 0xe5, 0x3b, 0x77, 0xf2, 0xb1, 0xe3, 0xac, 0x75, 0x2d, 0x19, 0x38, 0x9f, 0xc5, 0xba, 0xa0, 0xf8, 0xd7, 0x64, 0x48, 0xa5, 0x9f, 0x99, 0x85, 0xa4, 0x8d, 0xa, 0x25} },
+  { (uint64_t)5000000ull, {0xc0, 0xbe, 0x4f, 0xb8, 0x77, 0xb9, 0xce, 0x50, 0x87, 0x71, 0x32, 0x3b, 0xcf, 0x1f, 0xb9, 0x48, 0x47, 0x10, 0xee, 0x23, 0x2, 00, 0x6, 0xc3, 0xe8, 0xca, 0xac, 0x6e, 0x4f, 0x2, 0xfa, 0xbf} },
+  { (uint64_t)6000000ull, {0xfc, 0x44, 0x5c, 0xa3, 0x84, 0xf3, 0x3e, 0x55, 0x8d, 0xc1, 0x56, 0x44, 0x9d, 0x3f, 0xba, 0x6a, 0xfd, 0x54, 0xc3, 0x42, 0xe6, 0x35, 0x11, 0xf, 0xe7, 0x9c, 0x16, 0xc7, 0x17, 0xf7, 0xd4, 0xf7} },
+  { (uint64_t)7000000ull, {0xd8, 0x9, 0x2b, 0x8d, 0x45, 0xdb, 0x54, 0xa5, 0x6d, 0x64, 0xe8, 0x9, 0x4a, 0x6, 0x22, 0xe2, 0x6e, 0x8a, 0x2e, 0xec, 0xb9, 0x3, 0xb2, 0xe1, 0xf7, 0x5a, 0x83, 0x7b, 0x3a, 0xd8, 0x55, 0x4a} },
+  { (uint64_t)8000000ull, {0x10, 0x4, 0x5c, 0x91, 0xdb, 0xad, 0x8a, 0x6a, 0x81, 0x62, 0x4a, 0xe0, 0xcf, 0x20, 0x5d, 0xb9, 0x97, 0x3e, 0xe8, 0x42, 0x3e, 0x97, 0xaf, 0x58, 0xa6, 0x1c, 0xfa, 0x7a, 0x78, 0x66, 0xf4, 0x1} },
+  { (uint64_t)9000000ull, {0x11, 0x5c, 0x20, 0x9e, 0xe1, 0xde, 0xf3, 0x10, 0xce, 0xc9, 0xa6, 0xd1, 0x6c, 0xe6, 0x27, 0xec, 0xbd, 0xb9, 0xff, 0x2c, 0x23, 0x9, 0x3c, 0x24, 0xc8, 0x6c, 0x1b, 0xf2, 0x50, 0xd4, 0xb5, 0x85} },
+  { (uint64_t)10000000ull, {0x2f, 0x99, 0xd9, 0x74, 0x44, 0x18, 0x66, 0x9, 0x49, 0xba, 0x43, 0x35, 0x61, 0xc6, 0x5, 0xb6, 0xf7, 0xbe, 0x8f, 0x82, 0xa, 0x93, 0xcb, 0x2a, 0xed, 0xa9, 0x7c, 0x87, 0x32, 0x92, 0x56, 0x49} },
+  { (uint64_t)20000000ull, {0xc6, 0x77, 0x1f, 0xab, 0x14, 0xb, 0x75, 0xf4, 0xef, 0xd0, 0x97, 0xfc, 0xe1, 0x82, 0x6b, 0x80, 0xba, 0xe3, 0x16, 0xbc, 0xec, 0x28, 0x86, 0x9b, 0x3a, 0x1b, 0xf1, 0xbc, 0x6e, 0x4d, 0x20, 0x43} },
+  { (uint64_t)30000000ull, {0xa1, 0xe9, 0xed, 0x3e, 0xf6, 0x5a, 0x9d, 0x52, 0x6c, 0xc2, 0x62, 0x5, 0x88, 0x12, 0x1, 0xd8, 0xa8, 0xf2, 0xc4, 0x40, 0x9f, 0xa3, 0x64, 0x10, 0x72, 0x96, 0xb9, 0xf9, 0x6a, 0x61, 0xb3, 0x58} },
+  { (uint64_t)40000000ull, {0xb5, 0x31, 0x2d, 0xc7, 0x72, 0x94, 0xab, 0x9b, 0xc8, 0xbf, 0xd1, 0x39, 0x1e, 0x9a, 0xca, 0x92, 0x45, 0xe2, 0x28, 0xf7, 0x4b, 0x49, 0x74, 0xfc, 0x29, 0xad, 0x1c, 0x31, 0xcb, 0xe3, 0xe6, 0xa3} },
+  { (uint64_t)50000000ull, {0xb8, 0xab, 0xc9, 0xff, 0xf6, 0x84, 0x1d, 0x2e, 0xa0, 0x13, 0x5a, 0x21, 0x72, 0xd3, 0xa7, 0xb, 0xfc, 0x2b, 0x70, 0x22, 0x8, 0xcd, 0x4a, 0x43, 0xc6, 0x30, 0xbe, 0xb1, 0xb8, 0xa0, 0x32, 0x8b} },
+  { (uint64_t)60000000ull, {0x63, 0x90, 0xe1, 0xdb, 0x81, 0xb0, 0xea, 0x5c, 0xe2, 0x73, 0x94, 0x14, 0xe5, 0x2b, 0x7, 0x98, 0xd8, 0x2e, 0xb8, 0xe9, 0xae, 0xc5, 0x6d, 0xfe, 0x7e, 0x2c, 0x64, 0x11, 0xab, 0x79, 0x41, 0x87} },
+  { (uint64_t)70000000ull, {0x7e, 0x51, 0xaf, 0xee, 0x5b, 0xc9, 0x71, 0x52, 0x9d, 0x64, 0x4d, 0xcd, 0x7f, 0x2a, 0x2a, 0xb0, 0x26, 0x69, 0xce, 0x2c, 0xb5, 0x7, 0xa6, 0x2d, 0xfc, 0x93, 0x17, 0x6c, 0xb6, 0xdf, 0x41, 0x38} },
+  { (uint64_t)80000000ull, {0xf3, 0x7b, 0x94, 0x6b, 0x8b, 0x24, 0x88, 0xeb, 0xee, 0x1c, 0x6, 0xc1, 0x27, 0xfb, 0xe5, 0xfa, 0x5e, 0xfd, 0x62, 0x36, 0x9d, 0xd5, 0xaa, 0xda, 0xed, 0xd8, 0x88, 0x50, 0x1d, 0x3b, 0x7e, 0x3b} },
+  { (uint64_t)90000000ull, {0x46, 0xcb, 0x76, 0x57, 0xf6, 0x1c, 0x83, 0x7c, 0xec, 0x80, 0x74, 0xbb, 0xb0, 0xf5, 0x2e, 0x7f, 0xc5, 0x9a, 0xd, 0x94, 0xe0, 0x17, 00, 0x9a, 0xbe, 0x25, 0x65, 0x2e, 0x4a, 0xd2, 0xe5, 0x3d} },
+  { (uint64_t)100000000ull, {0x66, 0x7b, 0x8e, 0x6f, 0x6a, 0x4b, 0x91, 0x89, 0x76, 0xd9, 0x73, 0x5a, 0x43, 0x36, 0x7d, 0xc7, 0x59, 0x2c, 0x87, 0xd0, 0xa1, 0xf8, 0x15, 0xc6, 0xe8, 0x7d, 0xf1, 0x1a, 0x13, 0x50, 0x9f, 0xb2} },
+  { (uint64_t)200000000ull, {0x3b, 0xcb, 0x51, 0x48, 0x1, 0x64, 0x1b, 0x62, 0x55, 0x93, 0x8c, 0xc5, 0x3, 0x76, 0x2d, 0x35, 0xce, 0x6, 0xd7, 0x5f, 0xe9, 0x50, 0x95, 0x9a, 0x1a, 0xab, 0x21, 0x4b, 0x50, 0x9b, 0x10, 0xb} },
+  { (uint64_t)300000000ull, {0xa5, 0x92, 0x6f, 0x3, 0x1e, 0x6b, 0x15, 0xeb, 0x86, 0x23, 0x51, 0x8, 0xab, 0xb1, 0xaf, 0x90, 0xc5, 0xb1, 0x62, 0xc3, 0x99, 0x8c, 0x8b, 0xbb, 0x3f, 0xfb, 0xb0, 0x72, 0x9d, 0xa9, 0x45, 0x7b} },
+  { (uint64_t)400000000ull, {0xfe, 0x35, 0xb6, 0x99, 0x44, 0x41, 0xe, 0xaf, 0x81, 0x5b, 0xdc, 0xd0, 0xa4, 0xd7, 0x1e, 0xf9, 0xfc, 0x66, 0x86, 0x48, 0xad, 0x43, 0x74, 0x3b, 0x3, 0x5a, 0xed, 0x2c, 0x17, 0xc1, 0x38, 0x7a} },
+  { (uint64_t)500000000ull, {0x22, 0x22, 0xd6, 0x70, 0xb8, 0x7d, 0x9b, 0x47, 0xb8, 0xb9, 0x5c, 0x8c, 0x39, 0x7b, 0xc5, 0x2e, 0x2b, 0x46, 0xa6, 0x48, 0xb0, 0x2, 0xa0, 0x48, 0x5a, 0x37, 0x5c, 0xd8, 0x1f, 0x4a, 0x54, 0x5f} },
+  { (uint64_t)600000000ull, {0xd3, 0x23, 0x8a, 0x4a, 0x8b, 0x71, 0xab, 0x46, 0xd1, 0x53, 0x4, 0xac, 0xfa, 0x2f, 0x40, 0xbf, 0x5e, 0xa6, 0x3b, 0x3d, 0x86, 0x4a, 0x79, 0xfa, 0x84, 0x25, 0xd2, 0x65, 0x5a, 0xe7, 0x7, 0x6f} },
+  { (uint64_t)700000000ull, {0xa8, 0xff, 0x28, 0x3f, 0xcf, 0xf0, 0x53, 0xd3, 0x44, 0xc8, 0xf7, 0x56, 0x4f, 0x40, 0x24, 0xb6, 0x6b, 0xfa, 0x45, 0x9f, 0x47, 0x6f, 0xd, 0x73, 0xc, 0x91, 0x39, 0x90, 0x8b, 0x2d, 0x64, 0x7e} },
+  { (uint64_t)800000000ull, {0xf2, 0xda, 0xf8, 0x88, 0xc4, 0x46, 0x57, 0x1, 0xc0, 0xe6, 0x1e, 0x12, 0xc3, 0xfb, 0xd4, 0xea, 0x79, 0xc7, 0xec, 0xb4, 0xf0, 0xc4, 0xb1, 0x54, 0xc5, 0x1a, 0x24, 0xd1, 0xe9, 0x21, 0x28, 0xba} },
+  { (uint64_t)900000000ull, {0x11, 0x6a, 0xe5, 0xd2, 0x9c, 0xec, 0x72, 0xaa, 0xc5, 0x57, 0xcb, 0x14, 0xe2, 0xcd, 0xd5, 0x53, 0xe5, 0x88, 0xff, 0x8b, 0x81, 0x78, 0x26, 0x1, 0x99, 0xc4, 0xc, 0xae, 0xa2, 0x12, 0xcb, 0x63} },
+  { (uint64_t)1000000000ull, {0x8c, 0xe6, 0x48, 0x33, 0xce, 0xc9, 00, 0xcb, 0x6d, 0x5a, 0xc4, 0x6f, 0xc0, 0x23, 0x7d, 0x8f, 0x24, 0x39, 0xc3, 0xdf, 0xa2, 0x38, 0xba, 0xf9, 0xcc, 0x94, 0x16, 0x6a, 0xd2, 0xe8, 0x98, 0x87} },
+  { (uint64_t)2000000000ull, {0x37, 0x8d, 0x3c, 0x5d, 0xbb, 0xa4, 0x82, 0x3d, 0x33, 0x12, 0xbb, 0x61, 0xfc, 0x6, 0x75, 0xa1, 0xbb, 0x39, 0x89, 0xf3, 0x97, 0x1, 0xeb, 0xd, 0x5c, 0xe4, 0xde, 0x5b, 0xd, 0x90, 0x74, 0x72} },
+  { (uint64_t)3000000000ull, {0x7f, 0xa2, 0xd0, 0xa5, 0x99, 0xe7, 0x97, 0x2e, 0x74, 0xcb, 0x75, 0xf9, 0x8a, 0xf4, 0x84, 0xfc, 0x85, 0x19, 0xcb, 0x7e, 0x25, 0xb9, 0x84, 0xa7, 0x6d, 0x8b, 0xc2, 0xba, 0x8d, 0xaf, 0xde, 0xd8} },
+  { (uint64_t)4000000000ull, {0xda, 0x3a, 0xcb, 00, 0xab, 0x2d, 0x8d, 0xcc, 0xac, 0xec, 0x8f, 0x77, 0x59, 0x21, 0xc4, 0xe, 0x26, 0xb1, 0xff, 0xbe, 0xca, 0x9e, 0xb7, 0xe6, 0x57, 0x25, 0x6f, 0x59, 0x68, 0xf2, 0x34, 0x1c} },
+  { (uint64_t)5000000000ull, {0x34, 0x6, 0xd7, 0x9a, 0x50, 0xd8, 0x14, 0xa9, 0xcc, 0xed, 0x3b, 0x24, 0x4, 0xed, 0x3e, 0x1b, 0x8d, 0xa6, 0x21, 0x98, 0x8c, 0x43, 0xb1, 0x93, 0x69, 0x42, 0xf4, 0x94, 0xa, 0xc5, 0xbf, 0x6a} },
+  { (uint64_t)6000000000ull, {0xf8, 0x3e, 0xe8, 0xc1, 0x62, 0xfc, 0x52, 0xa0, 0x8, 0x9f, 0x46, 0xe8, 0x29, 0xc2, 0xea, 0xf6, 0xa1, 0x9f, 0xd5, 0x96, 0xcd, 0x12, 0xb3, 0xe8, 0x19, 0xd5, 0x67, 0x69, 0x44, 0xf, 0x7b, 0x4e} },
+  { (uint64_t)7000000000ull, {0x8c, 0x72, 0x7d, 0x24, 0x57, 0xf3, 0x4b, 0x2f, 0xdb, 0x6a, 0xdf, 0x69, 0x1a, 0xb3, 0x5f, 0xaa, 0xe4, 0xff, 0x23, 0x4c, 0x28, 0xb4, 0x4e, 0x9f, 0xd3, 0x71, 0x8e, 0xef, 0xec, 0x41, 0x75, 0x80} },
+  { (uint64_t)8000000000ull, {0x4a, 0x2e, 0x2f, 0x76, 0xe3, 0x5d, 0xcb, 0xa8, 0x97, 0xa3, 0xae, 0x72, 0xc4, 0x27, 0xd, 0x9c, 0x13, 0x17, 0x14, 0xed, 0x19, 0x1b, 0x55, 0x5c, 0x5e, 0x1, 0xe4, 0x75, 0x7c, 0xba, 0xe7, 0x2c} },
+  { (uint64_t)9000000000ull, {0x3f, 0x9f, 0xc, 0x4, 0xc0, 0xb9, 0xec, 0x9b, 0x4d, 0x11, 0x7c, 0x5f, 0xc9, 0xf1, 0x8a, 0x20, 0xf2, 0xb3, 0xfa, 0xcc, 0xa4, 0xc8, 0xae, 0x41, 0xaf, 0x7c, 0x8, 0xe9, 0xe0, 0xef, 0xb9, 0x81} },
+  { (uint64_t)10000000000ull, {0x97, 0xc9, 0x2a, 0x29, 0x1, 0x5e, 0xcb, 0x49, 0xf8, 0x9, 0x5, 0x45, 0xe0, 0x1f, 0xf9, 0x78, 0x6c, 0xae, 0x40, 0x57, 0x73, 0x47, 0x61, 0x18, 0x24, 0xf4, 0xb6, 0x59, 0x9f, 0xf5, 0xd3, 0x64} },
+  { (uint64_t)20000000000ull, {0x9, 0xba, 0xed, 0x9a, 0x3c, 0x44, 0xb2, 0x22, 0x85, 0xa0, 0xae, 0xa4, 0x14, 0x8c, 0xa7, 0xde, 0x9b, 0xea, 0x96, 0x3c, 0xf6, 0x96, 0x23, 0xb6, 0x83, 0x44, 0x5c, 0xa, 0x10, 0xa5, 0x86, 0x77} },
+  { (uint64_t)30000000000ull, {0x45, 0xac, 0xaf, 0x1d, 0xe2, 0x89, 0x6d, 0xe8, 0x72, 0x84, 0xff, 0xed, 0x57, 0x8b, 0x77, 0x14, 0xf5, 0x18, 0xa6, 0x18, 0xe2, 0xae, 0x6f, 0x90, 0xae, 0x4f, 0x70, 0x13, 0xa2, 0x8e, 0x99, 0xe0} },
+  { (uint64_t)40000000000ull, {0x8, 0xb8, 0x47, 0x36, 0x42, 0x24, 0xe2, 0x9c, 0xe3, 0x36, 0x63, 0x93, 0xc2, 0xe1, 0x1e, 0xfc, 0x75, 0x55, 0xde, 0xe1, 0xa0, 0x5f, 0x91, 0xa7, 0x2e, 0x61, 0x11, 0x76, 0x84, 0xdd, 0xbe, 0x29} },
+  { (uint64_t)50000000000ull, {0x6c, 0x8e, 0xe, 0x4a, 0x63, 0x4f, 0x85, 0x9a, 0x31, 0xab, 0x2f, 0x7a, 0x78, 0xc0, 0xc4, 0xa5, 0x93, 0x8c, 0xb7, 0x7f, 0x3, 0x35, 0x50, 0xa4, 0x7d, 0x7e, 0x31, 0x81, 0xb6, 0xb2, 0x6e, 0xc0} },
+  { (uint64_t)60000000000ull, {0x66, 0xc2, 0xa0, 0x9, 0x65, 0xf9, 0xbf, 0xcb, 0xb1, 0x1e, 0xa0, 0x3c, 0xf1, 0xd6, 0x31, 0xb0, 0xe, 0x8a, 0x1e, 0xf7, 0xa6, 0xb, 0x1b, 0xe4, 0xa5, 0xac, 0x9, 0x23, 0xb, 0xf8, 0x17, 0x3f} },
+  { (uint64_t)70000000000ull, {0x63, 0x51, 0xd7, 0x74, 0xc0, 0x2c, 0x5a, 0x9d, 0xee, 0xcf, 0xdb, 0xab, 0x70, 0x96, 0x68, 0x59, 0x8c, 0x47, 0xe4, 0xb1, 0x78, 0x2c, 0xe5, 0xae, 0x31, 0x6a, 0xf7, 0x40, 0xa6, 0x6f, 0x7e, 0x30} },
+  { (uint64_t)80000000000ull, {0x5a, 0xcc, 0xfd, 0x16, 0x22, 0x79, 0xa5, 0x1c, 0x8b, 0x3b, 0xd5, 0xd3, 0x67, 0x9e, 0x91, 0x89, 0x67, 0xa2, 0x64, 0xea, 0x6, 0x3d, 0x37, 0xdf, 0xf5, 0xe3, 0x45, 0x7e, 0xc3, 0x7, 0xd4, 0x57} },
+  { (uint64_t)90000000000ull, {0xb7, 0x47, 0xfc, 0x1, 0xc6, 0xf0, 0xc7, 0x49, 0x67, 0x3a, 0x29, 0x10, 0x25, 0xc, 0x2e, 0x23, 0xcb, 0x38, 0x27, 0x4d, 0x63, 0xb4, 0x2f, 0x52, 0x1b, 0x84, 0x63, 0x56, 0xe4, 0x13, 0x61, 0x8f} },
+  { (uint64_t)100000000000ull, {0x9, 0x42, 0x84, 0x3d, 0x6f, 0x69, 0xe1, 0xcf, 0x3d, 0x99, 0xc9, 0x9f, 0xc, 0x97, 0xc0, 0xe6, 0xe5, 0x78, 0x93, 0x5a, 0xf6, 0xa8, 0xbd, 0xb8, 0xf8, 0x1d, 0x5b, 0x90, 0xbd, 0xe7, 0xcc, 0x10} },
+  { (uint64_t)200000000000ull, {0x56, 0x4c, 0x64, 0xea, 0x50, 0xe4, 0xbd, 0x20, 0xdb, 0x58, 0x5d, 0xb5, 0x87, 0xb1, 0xf7, 0x64, 0xa2, 0x62, 0xd8, 0x46, 0xa6, 0xb0, 0xa2, 0x4b, 0x43, 0x27, 0x60, 0xd2, 0xf9, 0xde, 0x66, 0x5b} },
+  { (uint64_t)300000000000ull, {0xac, 0x65, 0x83, 0x41, 0x5b, 0xd6, 0x4c, 0x3, 0x35, 0x97, 0xf9, 0x28, 0xa4, 0xb5, 0xd4, 0xf4, 0x78, 0x9e, 0xa8, 0xb2, 0x87, 0x82, 0x73, 0x89, 0xa8, 0x1e, 0xb6, 0x62, 0x9e, 0xc5, 0xb8, 0x50} },
+  { (uint64_t)400000000000ull, {0x52, 0xf4, 0x9d, 0x89, 0xcf, 0x74, 0x13, 0x2f, 0xc7, 0x43, 0x2e, 0x6a, 0x6b, 0xef, 0xcf, 0xf3, 0xfd, 0x13, 0xd6, 0x3b, 0x51, 0x60, 0xab, 0x1c, 0xe6, 0x4a, 0xb0, 0xd1, 0x21, 0xcd, 0xa9, 0x9a} },
+  { (uint64_t)500000000000ull, {0xe9, 0xaa, 0x7c, 0x81, 0xcd, 0xb5, 0xb3, 0x14, 0x8f, 0xb7, 0x62, 0x80, 0x63, 0xcd, 0x7a, 0x7, 0xd1, 0xad, 0xd1, 0x64, 0x3c, 0xed, 0xd3, 0xfa, 0x34, 0x47, 0x9d, 0x85, 0x9c, 0xc5, 0x62, 0x65} },
+  { (uint64_t)600000000000ull, {0x98, 0x27, 0xae, 0x31, 0xe5, 0xc2, 0xa7, 0x78, 0x39, 0xf6, 0xb, 0x83, 0xab, 0x45, 0x78, 0xe2, 0xa0, 0x1e, 0xfa, 0x4b, 0x3b, 0x14, 0xcc, 0x72, 0x73, 0x14, 0xff, 0xd7, 0x15, 0x53, 0x63, 0xbf} },
+  { (uint64_t)700000000000ull, {0x72, 0x91, 0x6a, 0x79, 0x27, 0xff, 0x13, 0x24, 0xd4, 0x98, 0x40, 0xec, 0xc0, 0x98, 0x68, 0xb8, 0xf3, 0x15, 0xe4, 0xf1, 0xf6, 0xd4, 0x45, 0x8d, 0x37, 0x5e, 0xc7, 0x45, 0xfc, 0x2e, 0x63, 0x53} },
+  { (uint64_t)800000000000ull, {0x66, 0x76, 0xe0, 0x4, 0xf, 0xa4, 0xb8, 0x22, 0x9c, 0x61, 0x69, 0xc, 0x71, 0x32, 0x22, 0xcf, 0x3d, 0x37, 0xb9, 0x49, 0x3b, 0x49, 0x6, 0x80, 0xbb, 0x48, 0xd8, 0xd5, 0x1a, 0xde, 0x95, 0xf2} },
+  { (uint64_t)900000000000ull, {0x41, 0x54, 0xb3, 0x46, 0x5a, 0x43, 0x72, 0x67, 0x1e, 0xa9, 0xe0, 0x64, 0xa7, 0xca, 0xa6, 0x6e, 0x14, 0xb4, 0x98, 0x6a, 0x46, 0x68, 0x91, 0x8a, 0xfa, 0x57, 0x9b, 0xf1, 0xed, 0x25, 0x6, 0xdd} },
+  { (uint64_t)1000000000000ull, {0xbb, 0x6f, 0x70, 0x62, 0xca, 0x30, 0x6d, 0x67, 0x2a, 0x73, 0xe, 0x2a, 0x2f, 0x21, 0x9b, 0xdb, 0xe4, 0xc, 0x9f, 0xb3, 0xfe, 0x4d, 0x60, 0x13, 0x69, 0x2a, 0xf9, 0x3c, 0xdb, 0x2e, 0xc, 0xd1} },
+  { (uint64_t)2000000000000ull, {0xbc, 0xe, 0xae, 0x5b, 0x9c, 0x6a, 0xd6, 0x38, 0x7a, 0x41, 0x19, 0x3c, 0x46, 0xf3, 0xc1, 0xd0, 0x71, 0x6d, 0x77, 0xd6, 0x4e, 0x22, 0xb2, 0xe0, 0x7b, 0x4b, 0xce, 0x75, 0x67, 0x65, 0xa2, 0xb} },
+  { (uint64_t)3000000000000ull, {0x10, 0xc, 0x6f, 0x13, 0x42, 0xb7, 0x1b, 0x73, 0xed, 0xdd, 0xc5, 0x49, 0x2b, 0xe9, 0x23, 0x18, 0x2f, 00, 0xa6, 0x83, 0x48, 0x8e, 0xc3, 0xa2, 0xa1, 0xc7, 0xa9, 0x49, 0xcb, 0xe5, 0x77, 0x68} },
+  { (uint64_t)4000000000000ull, {0x41, 0x9f, 0x7c, 0x94, 0x91, 0x4, 0x34, 0xf, 0xd3, 0xce, 0x85, 0x94, 0x8d, 0x2e, 0xf9, 0xf0, 0xdd, 0x4b, 0xb3, 0xd9, 0x2f, 0x5a, 0x78, 0x2c, 0x5f, 0x78, 0x4, 0xb7, 0x52, 0x9a, 0x13, 0xc6} },
+  { (uint64_t)5000000000000ull, {0x40, 0x65, 0x34, 0x98, 0xbe, 0xa0, 0x22, 0xe3, 0x36, 0x5a, 0x3, 0xe5, 0x75, 0x25, 0xba, 0x65, 0x96, 0x53, 0x76, 0x24, 0x4f, 0xff, 0x10, 0x73, 0xe, 0xd9, 0x7a, 0x73, 0xb7, 0x53, 0x1, 0x91} },
+  { (uint64_t)6000000000000ull, {0xdb, 0x1c, 0x7c, 0xf6, 0x8, 0x91, 0xf9, 0x65, 0xeb, 0xa9, 0xc6, 0x2, 0x24, 00, 0x63, 0xe, 00, 0x47, 0x95, 0x34, 0xe6, 0xf5, 0xb5, 0x33, 0xdc, 0xfc, 0x83, 0x19, 0x38, 0x52, 0x2c, 0x78} },
+  { (uint64_t)7000000000000ull, {0x59, 0xa0, 0x3a, 0x31, 0x53, 0xa9, 0x94, 0xd7, 0x23, 0x27, 0xe4, 0xd9, 0x24, 0x21, 0xd3, 0xe3, 0x29, 0x1b, 0x1f, 0xa1, 0xb2, 0x40, 0xde, 0x44, 0xb9, 0x2d, 0x7f, 0x62, 0xec, 0x1, 0x28, 0xf1} },
+  { (uint64_t)8000000000000ull, {0xb2, 0x80, 0xb9, 0x3b, 0x1e, 0x43, 0x88, 00, 0x73, 0xea, 0x4a, 0xa0, 0xef, 0x11, 0x4, 0xf8, 0x24, 0xbd, 0x12, 0x7a, 0x4a, 0x3d, 0xa2, 0x13, 0x92, 0x65, 0xf, 0xe8, 0xc6, 0x55, 0xb6, 0xc5} },
+  { (uint64_t)9000000000000ull, {0xda, 0xf0, 0xd3, 0xe9, 0x32, 0x17, 0xd8, 0xe9, 0x5a, 0xbf, 0xdd, 0xf1, 0x3b, 0x7f, 0xd4, 0x8e, 0x34, 0x47, 0xad, 0x9, 0x23, 0x26, 0xb8, 0x99, 0xed, 0x58, 0x1f, 0xd5, 0xf8, 0x6, 0xc5, 0x6} },
+  { (uint64_t)10000000000000ull, {0x16, 0x3d, 0xd6, 0x82, 0xec, 0x97, 0x7c, 0xdd, 0xa5, 0x95, 0x31, 0xda, 0x3f, 0xfa, 0x72, 0x99, 0x8a, 0x6f, 0x88, 0x37, 0xab, 0xad, 0xc6, 0x36, 0xaa, 0xed, 0xc8, 0xbe, 0x19, 0xb2, 0xd7, 0xc7} },
+  { (uint64_t)20000000000000ull, {0x2, 0xfa, 0x35, 0x3a, 0xa8, 0x4e, 0xa8, 0xc4, 0x4c, 0x80, 0x23, 0x6, 0x5d, 0x79, 0x41, 0x60, 0x6b, 0x1f, 0xa5, 0xc2, 0x64, 0xdc, 0xcf, 0x46, 0xdc, 0x64, 0x94, 0xeb, 0xe9, 0x60, 0x6f, 0x20} },
+  { (uint64_t)30000000000000ull, {0x87, 0x5, 0xd, 0xab, 0xf5, 0xb2, 0x3e, 0x8b, 0x79, 0x81, 0x3f, 0x4e, 0xd7, 0x6a, 0xa4, 0xad, 0xd2, 0x25, 0xdd, 0x2a, 0x50, 0x89, 0xaf, 0x6, 0x7d, 0xa7, 0x7c, 0xcb, 0x6e, 0xc5, 0x59, 0x46} },
+  { (uint64_t)40000000000000ull, {0xaa, 0xe6, 0xb2, 0xc8, 0xa2, 0x9e, 0x4d, 0xbc, 0x63, 0x76, 0xc1, 0x72, 0x5, 0xfb, 0x2, 0x85, 0xe7, 0xd7, 0xd3, 0x25, 0x32, 0x3c, 0xd5, 0x26, 0xf, 0x98, 0xad, 0xff, 0xf7, 0xd4, 0xd4, 0xfb} },
+  { (uint64_t)50000000000000ull, {0x9d, 0x79, 0x28, 0x82, 0x12, 0xa1, 0xe2, 0x3c, 0x9, 0x9f, 0xb2, 0xd8, 0xf0, 0xd0, 0xdb, 0xd3, 0xc2, 0xec, 0xd7, 0x58, 0xb9, 0xe6, 0xb5, 0xb4, 0xf2, 0x90, 0x60, 0x7, 0x9f, 0x19, 0x66, 0x9f} },
+  { (uint64_t)60000000000000ull, {0x18, 0x90, 0x10, 0x6f, 0x1b, 0x97, 0xbc, 0x2d, 0xa, 0xe3, 0x96, 0xe5, 0xe5, 0x5e, 0xbf, 0xcc, 0x8e, 0xf6, 0x91, 0x7f, 0xb1, 0x96, 0xcb, 0x2b, 0x1e, 0x80, 0x25, 0x5d, 0x54, 0xb6, 0x87, 0x10} },
+  { (uint64_t)70000000000000ull, {0x57, 0xd3, 0x4e, 0xf7, 0x54, 0x3b, 0xe4, 0x7b, 0x7b, 0xf4, 0x97, 0xce, 0x4a, 0x17, 0x6e, 0x78, 0xc6, 0xd6, 0x5c, 0xd3, 0x27, 0xf6, 0x4b, 0xa7, 0x5c, 0x27, 0xd1, 0x57, 0xb3, 0x37, 0x12, 0x5d} },
+  { (uint64_t)80000000000000ull, {0x5e, 0xcb, 0x10, 0x15, 0x4b, 0x96, 0xca, 0xb5, 0x5e, 0x9, 0x46, 0x83, 0xf8, 0xdb, 0xff, 0x7f, 0x56, 0x63, 0x5f, 0xa6, 0x64, 0x97, 0xee, 0x9e, 0x24, 0xe, 0x83, 0x63, 0x7c, 0x7c, 0x87, 0x72} },
+  { (uint64_t)90000000000000ull, {0x42, 0x32, 0x69, 0x98, 0x51, 0x30, 0xf1, 0x66, 0x51, 0x6a, 0x5b, 0xa8, 0x61, 0x9, 0x6d, 0x72, 0xec, 0xcc, 0x67, 0xad, 0xab, 0xa4, 0x5e, 0xb3, 0x73, 0x9a, 0xe, 0xbc, 0x61, 0xa3, 0x20, 0xae} },
+  { (uint64_t)100000000000000ull, {0xa8, 0xd1, 0x60, 0x95, 0x91, 0x49, 0x8f, 0xa7, 0xc2, 0x94, 0x27, 0xad, 0x89, 0x31, 0xaf, 0x36, 0xc5, 0x2d, 0xc9, 0x7b, 0x4a, 0x11, 0xe7, 0x47, 0xa9, 0x56, 0xc2, 0x8c, 0x42, 0x54, 0xcf, 0xd4} },
+  { (uint64_t)200000000000000ull, {0x23, 0x14, 0x49, 00, 0xa8, 0x66, 0xe8, 0xc1, 0xbf, 0x40, 0x98, 0xda, 0xa9, 0x48, 0xb9, 0x86, 0xf3, 0x84, 0xe, 0x5a, 0x7d, 0x21, 0x5e, 0xf0, 0xd5, 0x64, 0xef, 0xd8, 0xbe, 0xc6, 0x83, 0x15} },
+  { (uint64_t)300000000000000ull, {0x6a, 0x51, 0x47, 0x3c, 0x86, 0xed, 0xad, 0x53, 0x51, 0x4b, 0x3f, 0x95, 0x97, 0xed, 0x21, 0xae, 00, 0x81, 0x51, 0xa0, 0x9e, 0x43, 0xad, 0xdd, 0x45, 0xd1, 0x74, 0x63, 0xc5, 0x34, 0x3, 0x97} },
+  { (uint64_t)400000000000000ull, {0x8, 0xbd, 0xd4, 0xc3, 0xe4, 0x53, 0x1b, 0x29, 0x7a, 0x70, 00, 0x1e, 0xb8, 0xa4, 0xf1, 0x98, 0xdc, 0x3b, 0xd4, 0xf1, 0xf5, 0x60, 0x9a, 0xda, 0x98, 0xf6, 0xd9, 0x5f, 0x9a, 0x1a, 0x30, 0x2e} },
+  { (uint64_t)500000000000000ull, {0x97, 0x55, 0x70, 0xea, 0x12, 0xde, 0x5a, 0xf5, 0xc5, 0x36, 0xbd, 0xb6, 0x83, 0x54, 0xfb, 0xc8, 0x32, 0x21, 0x50, 0xfc, 0x56, 0x83, 0x7c, 0x4b, 0x78, 0xa9, 0x85, 0x76, 0x5d, 0x2a, 0x70, 0x99} },
+  { (uint64_t)600000000000000ull, {0xa7, 0xa6, 0x39, 0x93, 0x41, 0xcb, 0x4d, 0x67, 0x76, 0xcd, 0x94, 0xd, 0x1d, 0x6a, 0xb0, 0xac, 0xa, 0xbf, 0x56, 0x93, 0x6a, 0x35, 0x31, 0xdf, 0xe9, 0x6c, 0x23, 0x69, 0x97, 0x8e, 0x49, 0xfa} },
+  { (uint64_t)700000000000000ull, {0x55, 0x9, 0x3e, 0x5e, 0xeb, 0xca, 0x3, 0x88, 0x48, 0xdc, 0x99, 0x7e, 0x31, 0x95, 0xec, 0xc5, 0x8f, 0xb4, 0xa5, 0x71, 0xb9, 0x52, 0x56, 0xc0, 0xff, 0x49, 0xbe, 0xd0, 0xf1, 0x65, 0x22, 0xbd} },
+  { (uint64_t)800000000000000ull, {0xbb, 0xc6, 0x18, 0x2, 0x24, 0xaf, 0xd3, 0x38, 0xa6, 0xf4, 0xa0, 0x6b, 0x11, 0x98, 0x40, 0x68, 0xeb, 0x36, 0x35, 0xe7, 0xe5, 0x47, 0x66, 0x69, 0x78, 0x83, 0xaf, 0xbd, 0xce, 0xad, 0x2f, 0x31} },
+  { (uint64_t)900000000000000ull, {0x61, 0x3a, 0xa1, 0x2c, 0xc0, 0xa1, 0x9b, 0xc8, 0x43, 0x63, 0x50, 0xbb, 0xc0, 0xf6, 0x16, 0x32, 0x6e, 0x64, 0x85, 0x83, 0x33, 0x4a, 0x32, 0x65, 0x16, 0x29, 0xe9, 0x5, 0xc5, 0x20, 0x62, 0x69} },
+  { (uint64_t)1000000000000000ull, {0x52, 0xdd, 0xf8, 0x81, 0x13, 0xa0, 0xfc, 0xf2, 0x12, 0x90, 0x95, 0xc6, 0x18, 0x91, 0xbe, 0x88, 0x5c, 0x9, 0x30, 0x8, 0xeb, 0xc4, 0x65, 0xc, 0xb0, 0xee, 0xa5, 0x60, 0xcd, 0x4d, 0x75, 0x1b} },
+  { (uint64_t)2000000000000000ull, {0x75, 0xbd, 0xfc, 0x35, 0xa6, 0xdf, 0x76, 0xe5, 0x98, 0x8e, 0xd9, 0xe3, 0x10, 0xa5, 0x89, 0x16, 0xae, 0xf0, 0xc5, 0xf0, 0x5b, 0x89, 0x22, 0xea, 0xae, 0x2c, 0xf9, 0x8f, 0x58, 0x42, 0x3c, 0xe3} },
+  { (uint64_t)3000000000000000ull, {0x88, 0x98, 0x93, 0xe8, 0x7d, 0x56, 0x9f, 0x14, 0xb2, 0x48, 0xd1, 0xed, 0x93, 0xe8, 0xce, 0x60, 0xbb, 0xe3, 0x73, 0x69, 0xb0, 0xd6, 0xc7, 0xa1, 0x86, 0x89, 0x33, 0xd3, 0xc3, 0xda, 0x9a, 0x72} },
+  { (uint64_t)4000000000000000ull, {0x88, 0x3e, 0xf3, 0x4b, 0xa2, 0xc1, 0x91, 0xf4, 0x9d, 0x3c, 0xc6, 0xad, 0xa0, 0xaf, 0xf1, 0xcf, 0xb1, 0x77, 0xbd, 0x9e, 0xd4, 0xb3, 0xa5, 0x37, 0x84, 0xb7, 0xf1, 0x62, 0x9b, 0xed, 0x17, 0x41} },
+  { (uint64_t)5000000000000000ull, {0xa2, 0x90, 0x7c, 0x39, 0x84, 0xb1, 0x4a, 0xb1, 0xf4, 0xda, 0x58, 0xc2, 0xc8, 0x2d, 0x6b, 0x24, 0xf1, 0x29, 0x49, 0x9, 0x75, 0xfc, 0x4a, 0x33, 0x3d, 0x25, 0xa1, 0xf9, 0x2b, 0xc4, 0x32, 0xb6} },
+  { (uint64_t)6000000000000000ull, {0xa0, 0x7d, 0x9f, 0x18, 0x95, 0x1f, 0xf2, 0x32, 0xcf, 0x4e, 0xc0, 0xee, 0x2f, 0xbc, 0xc3, 0xe1, 0x1b, 0x2c, 0xaf, 0xc9, 0x57, 0x65, 0x82, 0x10, 0x38, 0x1e, 0x3e, 0xe4, 0xed, 0xec, 0x2e, 0x7a} },
+  { (uint64_t)7000000000000000ull, {0x66, 0x80, 0x21, 0xd5, 0xde, 0x8c, 0xa4, 0xc1, 0x8f, 0x5a, 0x74, 0xf2, 0x78, 0x69, 0xc4, 0xd6, 0xd4, 0x93, 0xa3, 0x30, 0x39, 0x3c, 0xf0, 0x26, 0x41, 0xff, 0xa8, 0x56, 0x7b, 0xa5, 0x36, 0x20} },
+  { (uint64_t)8000000000000000ull, {0xe0, 0x48, 0x7a, 0xc4, 0x5a, 0x82, 0x59, 0xe3, 0xe5, 0xf2, 0xd9, 0xb8, 0xf6, 0xb8, 0xfa, 0x26, 0x9a, 0x63, 0x49, 0x71, 0xa2, 0xf7, 0xc2, 0x1a, 0x54, 0x17, 0x76, 0x81, 0xeb, 0x2, 0xbd, 0x4a} },
+  { (uint64_t)9000000000000000ull, {0x98, 0x92, 0x6a, 0x3a, 0xf0, 0x5b, 0xf4, 0xa9, 0x8d, 0xf9, 0xf6, 0x4a, 0xe7, 0xb9, 0xda, 0x45, 0xa7, 0x6, 0xc3, 0xf8, 0x39, 0x5e, 0x47, 0x1f, 0x96, 0xed, 0x3c, 0x6, 0x6, 0xbe, 0xbb, 0x71} },
+  { (uint64_t)10000000000000000ull, {0x80, 0xad, 0xb7, 0xd, 0x46, 0xf6, 0x3a, 0x75, 0x64, 0xa3, 0xf6, 0x71, 0xd9, 0xba, 0x95, 0x71, 0xb7, 0xf7, 0x95, 0xa9, 0x63, 0x38, 0x2a, 0x4d, 0x9f, 0xaf, 0x2d, 0x54, 0xf6, 0xc6, 0x84, 0x29} },
+  { (uint64_t)20000000000000000ull, {0xae, 0xbd, 0x97, 0x42, 0x1f, 0x3f, 0xca, 0xe8, 0x95, 0x18, 0x60, 0xe6, 0xd9, 0xd1, 0xf3, 0xec, 0x59, 0x73, 0xa2, 0xf7, 0x66, 0x88, 0x4b, 0xfe, 0x17, 0x50, 0x79, 0x51, 0xe4, 0x62, 0xc6, 0x63} },
+  { (uint64_t)30000000000000000ull, {0x61, 0x2, 0x6c, 0x84, 0x2a, 0x6a, 0x22, 0x25, 0x74, 0x6b, 0x19, 0x6b, 0x56, 0x89, 0xe1, 0x18, 0xf5, 0x41, 0x34, 0x15, 0x98, 0x1d, 0x7, 0x73, 0x62, 0xb2, 0xe7, 0xb9, 0xac, 0xa5, 0x28, 0x16} },
+  { (uint64_t)40000000000000000ull, {0x52, 0x54, 0xb5, 0x78, 0xe8, 0x57, 0x9a, 0x27, 0x3b, 0x89, 0x8e, 0x65, 0x9d, 0xd3, 0xe1, 0xa1, 0xcf, 0xba, 0x12, 0x47, 0x26, 0x64, 0xbd, 0x4e, 0x7f, 0x9a, 0x13, 0xb1, 0xfc, 0xee, 0x2, 0x93} },
+  { (uint64_t)50000000000000000ull, {0x7b, 0x2a, 0xb, 00, 0xcf, 0xdc, 0xa9, 0x51, 0x46, 0xcf, 0x80, 0x95, 0xdd, 0x2b, 0x82, 0x90, 0x91, 0xb0, 0xf2, 0xd5, 0xbb, 0xc, 0x33, 0x82, 0x2d, 0x8b, 0x43, 0x42, 0x69, 0xcd, 0x2a, 0x42} },
+  { (uint64_t)60000000000000000ull, {0x21, 0x57, 0x4f, 0xed, 0x15, 0x1a, 0x2f, 0x9f, 0x64, 0xa4, 0x5b, 0xe2, 0x8a, 0x3a, 0xf5, 0x88, 0xe9, 0xf2, 0xd1, 0x71, 0x35, 0xa3, 0x53, 0x7f, 0x7, 0xfd, 0x6a, 0xef, 0xa2, 0x9f, 0x2, 0xaf} },
+  { (uint64_t)70000000000000000ull, {0x1a, 0xf2, 0x41, 0xe1, 0x38, 0x27, 0x98, 0x29, 0xac, 0x6a, 0xe6, 0x2f, 0xf, 0x33, 0x20, 0x4b, 0xb2, 0x8a, 0xfd, 0x6, 0x5c, 0x42, 0x59, 0x3b, 0xdc, 0x79, 0x14, 0x85, 0x97, 0x5b, 0x26, 0x95} },
+  { (uint64_t)80000000000000000ull, {0xa8, 0xc8, 0xb8, 0x7b, 0x51, 0x2d, 0xef, 0x9b, 0x5e, 0x50, 0xe, 0xb4, 0x98, 0xaf, 0x86, 0xaa, 0xd2, 0x46, 0x4a, 0xea, 0xe7, 0x6d, 0xb1, 0xf6, 0x5d, 0x23, 0x26, 0xce, 0x90, 0x26, 0xec, 0x69} },
+  { (uint64_t)90000000000000000ull, {0x3d, 0x78, 0x73, 0x63, 0x95, 0xf1, 0xd7, 0xde, 0x8e, 0x16, 0xc0, 0xb5, 0xa9, 0x9f, 0x4d, 0xc4, 0xeb, 0x8f, 0x22, 0xac, 0xc1, 0x5b, 0x21, 0x42, 0x44, 0x1d, 0xbd, 0x8d, 0x2c, 0x31, 0xb9, 0xce} },
+  { (uint64_t)100000000000000000ull, {0x27, 0x27, 0xd4, 0x93, 0x2f, 0x98, 0x39, 0xe4, 0x3b, 0x6b, 0xf5, 0xfb, 0x29, 0xa3, 0xbe, 0x4c, 0x9, 0xb, 0x6e, 0xb9, 0x31, 00, 0xbb, 0x92, 0x58, 0x1a, 0xdb, 0x8d, 0xd2, 0xb6, 0x61, 0x54} },
+  { (uint64_t)200000000000000000ull, {0xae, 0x96, 0x78, 0x2e, 0xf2, 0xc4, 0xdf, 0x7d, 0x2e, 0x4, 0xcc, 0xf9, 0xef, 0x76, 0x23, 0x7f, 0x17, 0xc, 0x97, 0x3, 0xb4, 0x92, 0xc0, 0x78, 0x52, 0x6e, 0xb1, 0xf6, 0x85, 0x3d, 0xb1, 0x33} },
+  { (uint64_t)300000000000000000ull, {0x17, 0x43, 0xfe, 0xab, 0x12, 0xad, 0xe5, 0xfe, 0x12, 0x53, 0x22, 0x27, 0x2f, 0xd1, 0x40, 0x6b, 0x74, 0xe8, 0x19, 0x70, 0x32, 0x68, 0x46, 0x22, 0xee, 0x79, 0xab, 0xcd, 0x94, 0x93, 0x66, 0x4c} },
+  { (uint64_t)400000000000000000ull, {0x7, 0x9b, 0xf2, 0xa9, 0x6e, 0x16, 0x6e, 0xf9, 0xe6, 0xb2, 0x23, 0x1d, 0xb9, 0x85, 0x8b, 0x99, 0x98, 0x7f, 0x49, 0x33, 0x87, 0xde, 0xeb, 0xd5, 0x17, 0x48, 0x54, 0x9a, 0xd, 0xf7, 0xdc, 0x44} },
+  { (uint64_t)500000000000000000ull, {0xca, 0xba, 0x97, 0x98, 0x51, 0x6d, 0xad, 0x3, 0x38, 0xd0, 0x6e, 0x10, 0x6d, 0x76, 0xa2, 0x1, 0x93, 0x7a, 0xce, 0x4c, 0x91, 0x53, 0x9e, 0x61, 0x7d, 0x89, 0x28, 0x73, 0x6, 0xa3, 0x92, 0xb1} },
+  { (uint64_t)600000000000000000ull, {0x6b, 0x8, 0x7f, 0x48, 0xb3, 0xd7, 0xaa, 0xc9, 0x57, 0xc4, 0x52, 0xe5, 0x1a, 0x18, 0xd7, 0x26, 0xb, 0xf8, 0xc8, 0x56, 0xc4, 0xc7, 0x1e, 0x48, 0xf6, 0x49, 0xae, 00, 0x4a, 0xf6, 0x8f, 0x13} },
+  { (uint64_t)700000000000000000ull, {0x9e, 0xed, 0x8b, 0x23, 0x1f, 0x79, 0x4c, 0x46, 0x5c, 0xbe, 0x88, 0x40, 0xd0, 0xf1, 0x6f, 0x7b, 0x9f, 0x9c, 0x6e, 0xb4, 0x9c, 0x20, 0x7d, 0xe9, 0xd8, 0x55, 0x11, 0x83, 0xd0, 0xc7, 0x6e, 0x43} },
+  { (uint64_t)800000000000000000ull, {0x58, 0x4a, 0x78, 0x93, 0x13, 0x7e, 0xbd, 0x2, 0x8b, 0xa7, 0x59, 0x82, 0xc3, 0x39, 0xb7, 0x66, 0xaa, 0xda, 0xad, 0xf9, 0x14, 0x50, 0xf9, 0x40, 0x7d, 0x2a, 0x97, 0xd7, 0xf6, 0xb1, 0x93, 0x5e} },
+  { (uint64_t)900000000000000000ull, {0x7, 0xce, 0x54, 0xb1, 0x18, 0x26, 0xa1, 0x75, 0x23, 0x13, 0x55, 0x1a, 00, 0x20, 0xfd, 0x79, 0x8a, 00, 0x9e, 0x20, 0xcd, 0xb2, 0x40, 0x1d, 0x52, 0x51, 0xc1, 0x55, 0x8e, 0xea, 0xd2, 0x6c} },
+  { (uint64_t)1000000000000000000ull, {0x39, 0x80, 0x7f, 0x3d, 0xce, 0xb0, 0xa6, 0xfe, 0x34, 0xa7, 0xa1, 0xed, 0xc6, 0x9b, 0x78, 0xff, 0xbe, 0xd5, 0xa7, 0x8c, 0x6c, 0x87, 0x5d, 0xda, 0x96, 0x69, 0xdb, 0xb2, 0x95, 0x70, 0xf0, 0xf4} },
+  { (uint64_t)2000000000000000000ull, {0xda, 0x74, 00, 0x86, 0xf1, 0x5c, 0xe8, 0x21, 0xe9, 0xd, 0x50, 0xaf, 0xcf, 0x80, 0x9c, 0x7e, 0x18, 0x51, 0x90, 0x1b, 0xa3, 0x5f, 0x9f, 0x63, 0x78, 0xd6, 0x40, 0x7c, 0xb9, 0xc7, 0xa2, 0x75} },
+  { (uint64_t)3000000000000000000ull, {0x7, 0xa1, 0x75, 0x63, 0xae, 0xf5, 0xcf, 0xd0, 0x36, 0xfa, 0x64, 0xd4, 0xb1, 0x97, 0xa9, 0x51, 0xc0, 0xd2, 0x87, 0x2b, 0xd, 0xb6, 0xf9, 0xbe, 0x47, 0xe6, 0x7c, 0xa6, 0xb5, 0x35, 0xe2, 0x6e} },
+  { (uint64_t)4000000000000000000ull, {0xe3, 0x49, 0xf7, 0xeb, 0xe5, 0x11, 0x39, 0xfe, 0xd5, 0x69, 0x40, 0x37, 0xd1, 0x14, 0xb7, 0xbd, 0x45, 0xdd, 0xa, 0x6a, 0xf0, 0x4b, 0x62, 0xec, 0xa4, 0xd8, 0xcd, 0x55, 0x2a, 0x14, 0xe3, 0xfb} },
+  { (uint64_t)5000000000000000000ull, {0x8d, 0x59, 0x7e, 0xa9, 0xf5, 0x79, 0x9a, 0x4d, 0x15, 0x3d, 0x82, 0xd6, 0xf7, 0xbe, 0xa0, 0x2e, 0x52, 0x40, 0xa2, 0xc8, 0x9b, 0x4, 0x1e, 0x6, 0x2f, 0x37, 0xbc, 0x7b, 0x82, 0xa0, 0xac, 0x55} },
+  { (uint64_t)6000000000000000000ull, {0xa3, 0x43, 0xa7, 0xe1, 0x14, 0x4d, 0x33, 0x50, 0xf, 0x3e, 0xfd, 0x38, 0x15, 0x82, 0xdd, 0xc5, 0xd0, 0x18, 0x3e, 0x5d, 0xcf, 0x8a, 0xfa, 0x64, 0xbb, 0x67, 0x6c, 0x97, 0x3e, 0x3d, 0x1a, 0xb1} },
+  { (uint64_t)7000000000000000000ull, {0x89, 0xe9, 0x3e, 0xe9, 0xf2, 0x4d, 0x72, 0x61, 0xe5, 0x44, 0xca, 0x8f, 0x9, 0xa7, 0x40, 0x4e, 0xe3, 0xa9, 0xe, 0xe2, 0x50, 0x7d, 0xda, 0xcf, 0x41, 0x2a, 0x58, 0xc, 0x9, 0x65, 0x1c, 0x53} },
+  { (uint64_t)8000000000000000000ull, {0xc5, 0x94, 0x10, 0x81, 0x54, 0x69, 0xf4, 0x59, 0xd1, 0x5a, 0x6f, 0xe3, 0xf2, 0xa1, 0x1b, 0xa6, 0x31, 0x12, 0xfa, 0xaa, 0xc5, 0x3d, 0xbc, 0x52, 0x5d, 0x3c, 0xfa, 0xb1, 0xfa, 0x9c, 0x3d, 0xdb} },
+  { (uint64_t)9000000000000000000ull, {0x9d, 0xe7, 0xcb, 0xb, 0x8d, 0x7b, 0xac, 0x47, 0xff, 0xd3, 0x93, 0x1b, 0xcd, 0x82, 0xcd, 0xd5, 0x35, 0xc, 0x29, 0x34, 0xb1, 0x6e, 0xb, 0x64, 0x32, 0xab, 0xf7, 0xcb, 0x4b, 0x5c, 0x37, 0x6d} },
+  { (uint64_t)10000000000000000000ull, {0x65, 0x8d, 0x1, 0x37, 0x6d, 0x18, 0x63, 0xe7, 0x7b, 0x9, 0x6f, 0x98, 0xe6, 0xe5, 0x13, 0xc2, 0x4, 0x10, 0xf5, 0xc7, 0xfb, 0x18, 0xa6, 0xe5, 0x9a, 0x52, 0x66, 0x84, 0x5c, 0xd9, 0xb1, 0xe3} },
+};
+
 namespace rct {
 
     //Various key initialization functions
@@ -143,6 +321,14 @@ namespace rct {
     }
     
     key zeroCommit(xmr_amount amount) {
+        const zero_commitment *begin = zero_commitments;
+        const zero_commitment *end = zero_commitments + sizeof(zero_commitments) / sizeof(zero_commitments[0]);
+        const zero_commitment value{amount, rct::zero()};
+        const auto it = std::lower_bound(begin, end, value, [](const zero_commitment &e0, const zero_commitment &e1){ return e0.amount < e1.amount; });
+        if (it != end && it->amount == amount)
+        {
+            return it->commitment;
+        }
         key am = d2h(amount);
         key bH = scalarmultH(am);
         return addKeys(G, bH);