mirror of
https://github.com/zerotier/ZeroTierOne.git
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0e5651f353
* add note about forceTcpRelay * Create a sample systemd unit for tcp proxy * set gitattributes for rust & cargo so hashes dont conflict on Windows * Revert "set gitattributes for rust & cargo so hashes dont conflict on Windows" This reverts commit032dc5c108
. * Turn off autocrlf for rust source Doesn't appear to play nice well when it comes to git and vendored cargo package hashes * Fix #1883 (#1886) Still unknown as to why, but the call to `nc->GetProperties()` can fail when setting a friendly name on the Windows virtual ethernet adapter. Ensure that `ncp` is not null before continuing and accessing the device GUID. * Don't vendor packages for zeroidc (#1885) * Added docker environment way to join networks (#1871) * add StringUtils * fix headers use recommended headers and remove unused headers * move extern "C" only JNI functions need to be exported * cleanup * fix ANDROID-50: RESULT_ERROR_BAD_PARAMETER typo * fix typo in log message * fix typos in JNI method signatures * fix typo * fix ANDROID-51: fieldName is uninitialized * fix ANDROID-35: memory leak * fix missing DeleteLocalRef in loops * update to use unique error codes * add GETENV macro * add LOG_TAG defines * ANDROID-48: add ZT_jnicache.cpp * ANDROID-48: use ZT_jnicache.cpp and remove ZT_jnilookup.cpp and ZT_jniarray.cpp * add Event.fromInt * add PeerRole.fromInt * add ResultCode.fromInt * fix ANDROID-36: issues with ResultCode * add VirtualNetworkConfigOperation.fromInt * fix ANDROID-40: VirtualNetworkConfigOperation out-of-sync with ZT_VirtualNetworkConfigOperation enum * add VirtualNetworkStatus.fromInt * fix ANDROID-37: VirtualNetworkStatus out-of-sync with ZT_VirtualNetworkStatus enum * add VirtualNetworkType.fromInt * make NodeStatus a plain data class * fix ANDROID-52: synchronization bug with nodeMap * Node init work: separate Node construction and init * add Node.toString * make PeerPhysicalPath a plain data class * remove unused PeerPhysicalPath.fixed * add array functions * make Peer a plain data class * make Version a plain data class * fix ANDROID-42: copy/paste error * fix ANDROID-49: VirtualNetworkConfig.equals is wrong * reimplement VirtualNetworkConfig.equals * reimplement VirtualNetworkConfig.compareTo * add VirtualNetworkConfig.hashCode * make VirtualNetworkConfig a plain data class * remove unused VirtualNetworkConfig.enabled * reimplement VirtualNetworkDNS.equals * add VirtualNetworkDNS.hashCode * make VirtualNetworkDNS a plain data class * reimplement VirtualNetworkRoute.equals * reimplement VirtualNetworkRoute.compareTo * reimplement VirtualNetworkRoute.toString * add VirtualNetworkRoute.hashCode * make VirtualNetworkRoute a plain data class * add isSocketAddressEmpty * add addressPort * add fromSocketAddressObject * invert logic in a couple of places and return early * newInetAddress and newInetSocketAddress work allow newInetSocketAddress to return NULL if given empty address * fix ANDROID-38: stack corruption in onSendPacketRequested * use GETENV macro * JniRef work JniRef does not use callbacks struct, so remove fix NewGlobalRef / DeleteGlobalRef mismatch * use PRId64 macros * switch statement work * comments and logging * Modifier 'public' is redundant for interface members * NodeException can be made a checked Exception * 'NodeException' does not define a 'serialVersionUID' field * 'finalize()' should not be overridden this is fine to do because ZeroTierOneService calls close() when it is done * error handling, error reporting, asserts, logging * simplify loadLibrary * rename Node.networks -> Node.networkConfigs * Windows file permissions fix (#1887) * Allow macOS interfaces to use multiple IP addresses (#1879) Co-authored-by: Sean OMeara <someara@users.noreply.github.com> Co-authored-by: Grant Limberg <glimberg@users.noreply.github.com> * Fix condition where full HELLOs might not be sent when necessary (#1877) Co-authored-by: Grant Limberg <glimberg@users.noreply.github.com> * 1.10.4 version bumps * Add security policy to repo (#1889) * [+] add e2k64 arch (#1890) * temp fix for ANDROID-56: crash inside newNetworkConfig from too many args * 1.10.4 release notes * Windows 1.10.4 Advanced Installer bump * Revert "temp fix for ANDROID-56: crash inside newNetworkConfig from too many args" This reverts commitdd627cd7f4
. * actual fix for ANDROID-56: crash inside newNetworkConfig cast all arguments to varargs functions as good style * Fix addIp being called with applied ips (#1897) This was getting called outside of the check for existing ips Because of the added ifdef and a brace getting moved to the wrong place. ``` if (! n.tap()->addIp(*ip)) { fprintf(stderr, "ERROR: unable to add ip address %s" ZT_EOL_S, ip->toString(ipbuf)); } WinFWHelper::newICMPRule(*ip, n.config().nwid); ``` * 1.10.5 (#1905) * 1.10.5 bump * 1.10.5 for Windows * 1.10.5 * Prevent path-learning loops (#1914) * Prevent path-learning loops * Only allow new overwrite if not bonded * fix binding temporary ipv6 addresses on macos (#1910) The check code wasn't running. I don't know why !defined(TARGET_OS_IOS) would exclude code on desktop macOS. I did a quick search and changed it to defined(TARGET_OS_MAC). Not 100% sure what the most correct solution there is. You can verify the old and new versions with `ifconfig | grep temporary` plus `zerotier-cli info -j` -> listeningOn * 1.10.6 (#1929) * 1.10.5 bump * 1.10.6 * 1.10.6 AIP for Windows. * Release notes for 1.10.6 (#1931) * Minor tweak to Synology Docker image script (#1936) * Change if_def again so ios can build (#1937) All apple's variables are "defined" but sometimes they are defined as "0" * move begin/commit into try/catch block (#1932) Thread was exiting in some cases * Bump openssl from 0.10.45 to 0.10.48 in /zeroidc (#1938) Bumps [openssl](https://github.com/sfackler/rust-openssl) from 0.10.45 to 0.10.48. - [Release notes](https://github.com/sfackler/rust-openssl/releases) - [Commits](https://github.com/sfackler/rust-openssl/compare/openssl-v0.10.45...openssl-v0.10.48) --- updated-dependencies: - dependency-name: openssl dependency-type: indirect ... Signed-off-by: dependabot[bot] <support@github.com> Co-authored-by: dependabot[bot] <49699333+dependabot[bot]@users.noreply.github.com> * new drone bits * Fix multiple network join from environment entrypoint.sh.release (#1961) * _bond_m guards _bond, not _paths_m (#1965) * Fix: warning: mutex '_aqm_m' is not held on every path through here [-Wthread-safety-analysis] (#1964) * Bump h2 from 0.3.16 to 0.3.17 in /zeroidc (#1963) Bumps [h2](https://github.com/hyperium/h2) from 0.3.16 to 0.3.17. - [Release notes](https://github.com/hyperium/h2/releases) - [Changelog](https://github.com/hyperium/h2/blob/master/CHANGELOG.md) - [Commits](https://github.com/hyperium/h2/compare/v0.3.16...v0.3.17) --- updated-dependencies: - dependency-name: h2 dependency-type: indirect ... Signed-off-by: dependabot[bot] <support@github.com> Co-authored-by: dependabot[bot] <49699333+dependabot[bot]@users.noreply.github.com> Co-authored-by: Grant Limberg <glimberg@users.noreply.github.com> * Add note that binutils is required on FreeBSD (#1968) * Add prometheus metrics for Central controllers (#1969) * add header-only prometheus lib to ext * rename folder * Undo rename directory * prometheus simpleapi included on mac & linux * wip * wire up some controller stats * Get windows building with prometheus * bsd build flags for prometheus * Fix multiple network join from environment entrypoint.sh.release (#1961) * _bond_m guards _bond, not _paths_m (#1965) * Fix: warning: mutex '_aqm_m' is not held on every path through here [-Wthread-safety-analysis] (#1964) * Serve prom metrics from /metrics endpoint * Add prom metrics for Central controller specific things * reorganize metric initialization * testing out a labled gauge on Networks * increment error counter on throw * Consolidate metrics definitions Put all metric definitions into node/Metrics.hpp. Accessed as needed from there. * Revert "testing out a labled gauge on Networks" This reverts commit499ed6d95e
. * still blows up but adding to the record for completeness right now * Fix runtime issues with metrics * Add metrics files to visual studio project * Missed an "extern" * add copyright headers to new files * Add metrics for sent/received bytes (total) * put /metrics endpoint behind auth * sendto returns int on Win32 --------- Co-authored-by: Leonardo Amaral <leleobhz@users.noreply.github.com> Co-authored-by: Brenton Bostick <bostick@gmail.com> * Central startup update (#1973) * allow specifying authtoken in central startup * set allowManagedFrom * move redis_mem_notification to the correct place * add node checkins metric * wire up min/max connection pool size metrics * x86_64-unknown-linux-gnu on ubuntu runner (#1975) * adding incoming zt packet type metrics (#1976) * use cpp-httplib for HTTP control plane (#1979) refactored the old control plane code to use [cpp-httplib](https://github.com/yhirose/cpp-httplib) instead of a hand rolled HTTP server. Makes the control plane code much more legible. Also no longer randomly stops responding. * Outgoing Packet Metrics (#1980) add tx/rx labels to packet counters and add metrics for outgoing packets * Add short-term validation test workflow (#1974) Add short-term validation test workflow * Brenton/curly braces (#1971) * fix formatting * properly adjust various lines breakup multiple statements onto multiple lines * insert {} around if, for, etc. * Fix rust dependency caching (#1983) * fun with rust caching * kick * comment out invalid yaml keys for now * Caching should now work * re-add/rename key directives * bump * bump * bump * Don't force rebuild on Windows build GH Action (#1985) Switching `/t:ZeroTierOne:Rebuild` to just `/t:ZeroTierOne` allows the Windows build to use the rust cache. `/t:ZeroTierOne:Rebuild` cleared the cache before building. * More packet metrics (#1982) * found path negotation sends that weren't accounted for * Fix histogram so it will actually compile * Found more places for packet metrics * separate the bind & listen calls on the http backplane (#1988) * fix memory leak (#1992) * fix a couple of metrics (#1989) * More aggressive CLI spamming (#1993) * fix type signatures (#1991) * Network-metrics (#1994) * Add a couple quick functions for converting a uint64_t network ID/node ID into std::string * Network metrics * Peer metrics (#1995) * Adding peer metrics still need to be wired up for use * per peer packet metrics * Fix crash from bad instantiation of histogram * separate alive & dead path counts * Add peer metric update block * add peer latency values in doPingAndKeepalive * prevent deadlock * peer latency histogram actually works now * cleanup * capture counts of packets to specific peers --------- Co-authored-by: Joseph Henry <joseph.henry@zerotier.com> * Metrics consolidation (#1997) * Rename zt_packet_incoming -> zt_packet Also consolidate zt_peer_packets into a single metric with tx and rx labels. Same for ztc_tcp_data and ztc_udp_data * Further collapse tcp & udp into metric labels for zt_data * Fix zt_data metric description * zt_peer_packets description fix * Consolidate incoming/outgoing network packets to a single metric * zt_incoming_packet_error -> zt_packet_error * Disable peer metrics for central controllers Can change in the future if needed, but given the traffic our controllers serve, that's going to be a *lot* of data * Disable peer metrics for controllers pt 2 * Update readme files for metrics (#2000) * Controller Metrics & Network Config Request Fix (#2003) * add new metrics for network config request queue size and sso expirations * move sso expiration to its own thread in the controller * fix potential undefined behavior when modifying a set * Enable RTTI in Windows build The new prometheus histogram stuff needs it. Access violation - no RTTI data!INVALID packet 636ebd9ee8cac6c0 from cafe9efeb9(2605:9880:200:1200:30:571:e34:51/9993) (unexpected exception in tryDecode()) * Don't re-apply routes on BSD See issue #1986 * Capture setContent by-value instead of by-reference (#2006) Co-authored-by: Grant Limberg <glimberg@users.noreply.github.com> * fix typos (#2010) * central controller metrics & request path updates (#2012) * internal db metrics * use shared mutexes for read/write locks * remove this lock. only used for a metric * more metrics * remove exploratory metrics place controller request benchmarks behind ifdef * Improve validation test (#2013) * fix init order for EmbeddedNetworkController (#2014) * add constant for getifaddrs cache time * cache getifaddrs - mac * cache getifaddrs - linux * cache getifaddrs - bsd * cache getifaddrs - windows * Fix oidc client lookup query join condition referenced the wrong table. Worked fine unless there were multiple identical client IDs * Fix udp sent metric was only incrementing by 1 for each packet sent * Allow sending all surface addresses to peer in low-bandwidth mode * allow enabling of low bandwidth mode on controllers * don't unborrow bad connections pool will clean them up later * Multi-arch controller container (#2037) create arm64 & amd64 images for central controller * Update README.md issue #2009 * docker tags change * fix oidc auth url memory leak (#2031) getAuthURL() was not calling zeroidc::free_cstr(url); the only place authAuthURL is called, the url can be retrieved from the network config instead. You could alternatively copy the string and call free_cstr in getAuthURL. If that's better we can change the PR. Since now there are no callers of getAuthURL I deleted it. Co-authored-by: Grant Limberg <glimberg@users.noreply.github.com> * Bump openssl from 0.10.48 to 0.10.55 in /zeroidc (#2034) Bumps [openssl](https://github.com/sfackler/rust-openssl) from 0.10.48 to 0.10.55. - [Release notes](https://github.com/sfackler/rust-openssl/releases) - [Commits](https://github.com/sfackler/rust-openssl/compare/openssl-v0.10.48...openssl-v0.10.55) --- updated-dependencies: - dependency-name: openssl dependency-type: indirect ... Signed-off-by: dependabot[bot] <support@github.com> Co-authored-by: dependabot[bot] <49699333+dependabot[bot]@users.noreply.github.com> Co-authored-by: Grant Limberg <glimberg@users.noreply.github.com> * zeroidc cargo warnings (#2029) * fix unused struct member cargo warning * fix unused import cargo warning * fix unused return value cargo warning --------- Co-authored-by: Grant Limberg <glimberg@users.noreply.github.com> * fix memory leak in macos ipv6/dns helper (#2030) Co-authored-by: Grant Limberg <glimberg@users.noreply.github.com> * Consider ZEROTIER_JOIN_NETWORKS in healthcheck (#1978) * Add a 2nd auth token only for access to /metrics (#2043) * Add a 2nd auth token for /metrics Allows administrators to distribute a token that only has access to read metrics and nothing else. Also added support for using bearer auth tokens for both types of tokens Separate endpoint for metrics #2041 * Update readme * fix a couple of cases of writing the wrong token * Add warning to cli for allow default on FreeBSD It doesn't work. Not possible to fix with deficient network stack and APIs. ZeroTierOne-freebsd # zerotier-cli set 9bee8941b5xxxxxx allowDefault=1 400 set Allow Default does not work properly on FreeBSD. See #580 root@freebsd13-a:~/ZeroTierOne-freebsd # zerotier-cli get 9bee8941b5xxxxxx allowDefault 1 * ARM64 Support for TapDriver6 (#1949) * Release memory previously allocated by UPNP_GetValidIGD * Fix ifdef that breaks libzt on iOS (#2050) * less drone (#2060) * Exit if loading an invalid identity from disk (#2058) * Exit if loading an invalid identity from disk Previously, if an invalid identity was loaded from disk, ZeroTier would generate a new identity & chug along and generate a brand new identity as if nothing happened. When running in containers, this introduces the possibility for key matter loss; especially when running in containers where the identity files are mounted in the container read only. In this case, ZT will continue chugging along with a brand new identity with no possibility of recovering the private key. ZeroTier should exit upon loading of invalid identity.public/identity.secret #2056 * add validation test for #2056 * tcp-proxy: fix build * Adjust tcp-proxy makefile to support metrics There's no way to get the metrics yet. Someone will have to add the http service. * remove ZT_NO_METRIC ifdef * Implement recvmmsg() for Linux to reduce syscalls. (#2046) Between 5% and 40% speed improvement on Linux, depending on system configuration and load. * suppress warnings: comparison of integers of different signs: 'int64_t' (aka 'long') and 'uint64_t' (aka 'unsigned long') [-Wsign-compare] (#2063) * fix warning: 'OS_STRING' macro redefined [-Wmacro-redefined] (#2064) Even though this is in ext, these particular chunks of code were added by us, so are ok to modify. * Apply default route a different way - macOS The original way we applied default route, by forking 0.0.0.0/0 into 0/1 and 128/1 works, but if mac os has any networking hiccups -if you change SSIDs or sleep/wake- macos erases the system default route. And then all networking on the computer is broken. to summarize the new way: allowDefault=1 ``` sudo route delete default 192.168.82.1 sudo route add default 10.2.0.2 sudo route add -ifscope en1 default 192.168.82.1 ``` gives us this routing table ``` Destination Gateway RT_IFA Flags Refs Use Mtu Netif Expire rtt(ms) rttvar(ms) default 10.2.0.2 10.2.0.18 UGScg 90 1 2800 feth4823 default 192.168.82.1 192.168.82.217 UGScIg ``` allowDefault=0 ``` sudo route delete default sudo route delete -ifscope en1 default sudo route add default 192.168.82.1 ``` Notice the I flag, for -ifscope, on the physical default route. route change does not seem to work reliably. * fix docker tag for controllers (#2066) * Update build.sh (#2068) fix mkwork compilation errors * Fix network DNS on macOS It stopped working for ipv4 only networks in Monterey. See #1696 We add some config like so to System Configuration ``` scutil show State:/Network/Service/9bee8941b5xxxxxx/IPv4 <dictionary> { Addresses : <array> { 0 : 10.2.1.36 } InterfaceName : feth4823 Router : 10.2.1.36 ServerAddress : 127.0.0.1 } ``` * Add search domain to macos dns configuration Stumbled upon this while debugging something else. If we add search domain to our system configuration for network DNS, then search domains work: ``` ping server1 ~ PING server1.my.domain (10.123.3.1): 56 data bytes 64 bytes from 10.123.3.1 ``` * Fix reporting of secondaryPort and tertiaryPort See: #2039 * Fix typos (#2075) * Disable executable stacks on assembly objects (#2071) Add `--noexecstack` to the assembler flags so the resulting binary will link with a non-executable stack. Fixes zerotier/ZeroTierOne#1179 Co-authored-by: Joseph Henry <joseph.henry@zerotier.com> * Test that starting zerotier before internet works * Don't skip hellos when there are no paths available working on #2082 * Update validate-1m-linux.sh * Save zt node log files on abort * Separate test and summary step in validator script * Don't apply default route until zerotier is "online" I was running into issues with restarting the zerotier service while "full tunnel" mode is enabled. When zerotier first boots, it gets network state from the cache on disk. So it immediately applies all the routes it knew about before it shutdown. The network config may have change in this time. If it has, then your default route is via a route you are blocked from talking on. So you can't get the current network config, so your internet does not work. Other options include - don't use cached network state on boot - find a better criteria than "online" * Fix node time-to-online counter in validator script * Export variables so that they are accessible by exit function * Fix PortMapper issue on ZeroTier startup See issue #2082 We use a call to libnatpmp::ininatpp to make sure the computer has working network sockets before we go into the main nat-pmp/upnp logic. With basic exponenetial delay up to 30 seconds. * testing * Comment out PortMapper debug this got left turned on in a confusing merge previously * fix macos default route again see commitfb6af1971
* Fix network DNS on macOS adding that stuff to System Config causes this extra route to be added which breaks ipv4 default route. We figured out a weird System Coniguration setting that works. --- old couldn't figure out how to fix it in SystemConfiguration so here we are# Please enter the commit message for your changes. Lines starting We also moved the dns setter to before the syncIps stuff to help with a race condition. It didn't always work when you re-joined a network with default route enabled. * Catch all conditions in switch statement, remove trailing whitespaces * Add setmtu command, fix bond lifetime issue * Basic cleanups * Check if null is passed to VirtualNetworkConfig.equals and name fixes * ANDROID-96: Simplify and use return code from node_init directly * Windows arm64 (#2099) * ARM64 changes for 1.12 * 1.12 Windows advanced installer updates and updates for ARM64 * 1.12.0 * Linux build fixes for old distros. * release notes --------- Signed-off-by: dependabot[bot] <support@github.com> Co-authored-by: travis laduke <travisladuke@gmail.com> Co-authored-by: Grant Limberg <grant.limberg@zerotier.com> Co-authored-by: Grant Limberg <glimberg@users.noreply.github.com> Co-authored-by: Leonardo Amaral <leleobhz@users.noreply.github.com> Co-authored-by: Brenton Bostick <bostick@gmail.com> Co-authored-by: Sean OMeara <someara@users.noreply.github.com> Co-authored-by: Joseph Henry <joseph-henry@users.noreply.github.com> Co-authored-by: Roman Peshkichev <roman.peshkichev@gmail.com> Co-authored-by: Joseph Henry <joseph.henry@zerotier.com> Co-authored-by: dependabot[bot] <49699333+dependabot[bot]@users.noreply.github.com> Co-authored-by: Stavros Kois <47820033+stavros-k@users.noreply.github.com> Co-authored-by: Jake Vis <jakevis@outlook.com> Co-authored-by: Jörg Thalheim <joerg@thalheim.io> Co-authored-by: lison <imlison@foxmail.com> Co-authored-by: Kenny MacDermid <kenny@macdermid.ca>
2643 lines
218 KiB
C++
2643 lines
218 KiB
C++
/*
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Matthew Dempsky
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Public domain.
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Derived from public domain code by D. J. Bernstein.
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*/
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// Modified very slightly for ZeroTier One by Adam Ierymenko
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// This code remains in the public domain.
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#include <stdint.h>
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#include <stdlib.h>
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#include <string.h>
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#include "Constants.hpp"
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#include "C25519.hpp"
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#include "SHA512.hpp"
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#include "Buffer.hpp"
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#include "Hashtable.hpp"
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#include "Mutex.hpp"
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#ifdef __WINDOWS__
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#pragma warning(disable: 4146)
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#endif
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#ifdef __GNUC__
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#pragma GCC diagnostic ignored "-Wunused-function"
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#endif
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namespace {
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#define crypto_int32 int32_t
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#define crypto_uint32 uint32_t
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#define crypto_int64 int64_t
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#define crypto_uint64 uint64_t
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#define crypto_hash_sha512_BYTES 64
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//////////////////////////////////////////////////////////////////////////////
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//////////////////////////////////////////////////////////////////////////////
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typedef uint8_t u8;
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typedef int32_t s32;
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typedef int64_t limb;
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static inline void fsum(limb *output, const limb *in) {
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unsigned i;
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for (i = 0; i < 10; i += 2) {
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output[0+i] = output[0+i] + in[0+i];
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output[1+i] = output[1+i] + in[1+i];
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}
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}
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static inline void fdifference(limb *output, const limb *in) {
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unsigned i;
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for (i = 0; i < 10; ++i) {
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output[i] = in[i] - output[i];
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}
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}
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static inline void fscalar_product(limb *output, const limb *in, const limb scalar) {
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unsigned i;
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for (i = 0; i < 10; ++i) {
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output[i] = in[i] * scalar;
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}
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}
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static inline void fproduct(limb *output, const limb *in2, const limb *in) {
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output[0] = ((limb) ((s32) in2[0])) * ((s32) in[0]);
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output[1] = ((limb) ((s32) in2[0])) * ((s32) in[1]) +
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((limb) ((s32) in2[1])) * ((s32) in[0]);
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output[2] = 2 * ((limb) ((s32) in2[1])) * ((s32) in[1]) +
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((limb) ((s32) in2[0])) * ((s32) in[2]) +
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((limb) ((s32) in2[2])) * ((s32) in[0]);
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output[3] = ((limb) ((s32) in2[1])) * ((s32) in[2]) +
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((limb) ((s32) in2[2])) * ((s32) in[1]) +
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((limb) ((s32) in2[0])) * ((s32) in[3]) +
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((limb) ((s32) in2[3])) * ((s32) in[0]);
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output[4] = ((limb) ((s32) in2[2])) * ((s32) in[2]) +
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2 * (((limb) ((s32) in2[1])) * ((s32) in[3]) +
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((limb) ((s32) in2[3])) * ((s32) in[1])) +
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((limb) ((s32) in2[0])) * ((s32) in[4]) +
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((limb) ((s32) in2[4])) * ((s32) in[0]);
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output[5] = ((limb) ((s32) in2[2])) * ((s32) in[3]) +
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((limb) ((s32) in2[3])) * ((s32) in[2]) +
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((limb) ((s32) in2[1])) * ((s32) in[4]) +
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((limb) ((s32) in2[4])) * ((s32) in[1]) +
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((limb) ((s32) in2[0])) * ((s32) in[5]) +
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((limb) ((s32) in2[5])) * ((s32) in[0]);
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output[6] = 2 * (((limb) ((s32) in2[3])) * ((s32) in[3]) +
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((limb) ((s32) in2[1])) * ((s32) in[5]) +
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((limb) ((s32) in2[5])) * ((s32) in[1])) +
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((limb) ((s32) in2[2])) * ((s32) in[4]) +
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((limb) ((s32) in2[4])) * ((s32) in[2]) +
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((limb) ((s32) in2[0])) * ((s32) in[6]) +
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((limb) ((s32) in2[6])) * ((s32) in[0]);
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output[7] = ((limb) ((s32) in2[3])) * ((s32) in[4]) +
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((limb) ((s32) in2[4])) * ((s32) in[3]) +
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((limb) ((s32) in2[2])) * ((s32) in[5]) +
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((limb) ((s32) in2[5])) * ((s32) in[2]) +
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((limb) ((s32) in2[1])) * ((s32) in[6]) +
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((limb) ((s32) in2[6])) * ((s32) in[1]) +
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((limb) ((s32) in2[0])) * ((s32) in[7]) +
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((limb) ((s32) in2[7])) * ((s32) in[0]);
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output[8] = ((limb) ((s32) in2[4])) * ((s32) in[4]) +
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2 * (((limb) ((s32) in2[3])) * ((s32) in[5]) +
|
|
((limb) ((s32) in2[5])) * ((s32) in[3]) +
|
|
((limb) ((s32) in2[1])) * ((s32) in[7]) +
|
|
((limb) ((s32) in2[7])) * ((s32) in[1])) +
|
|
((limb) ((s32) in2[2])) * ((s32) in[6]) +
|
|
((limb) ((s32) in2[6])) * ((s32) in[2]) +
|
|
((limb) ((s32) in2[0])) * ((s32) in[8]) +
|
|
((limb) ((s32) in2[8])) * ((s32) in[0]);
|
|
output[9] = ((limb) ((s32) in2[4])) * ((s32) in[5]) +
|
|
((limb) ((s32) in2[5])) * ((s32) in[4]) +
|
|
((limb) ((s32) in2[3])) * ((s32) in[6]) +
|
|
((limb) ((s32) in2[6])) * ((s32) in[3]) +
|
|
((limb) ((s32) in2[2])) * ((s32) in[7]) +
|
|
((limb) ((s32) in2[7])) * ((s32) in[2]) +
|
|
((limb) ((s32) in2[1])) * ((s32) in[8]) +
|
|
((limb) ((s32) in2[8])) * ((s32) in[1]) +
|
|
((limb) ((s32) in2[0])) * ((s32) in[9]) +
|
|
((limb) ((s32) in2[9])) * ((s32) in[0]);
|
|
output[10] = 2 * (((limb) ((s32) in2[5])) * ((s32) in[5]) +
|
|
((limb) ((s32) in2[3])) * ((s32) in[7]) +
|
|
((limb) ((s32) in2[7])) * ((s32) in[3]) +
|
|
((limb) ((s32) in2[1])) * ((s32) in[9]) +
|
|
((limb) ((s32) in2[9])) * ((s32) in[1])) +
|
|
((limb) ((s32) in2[4])) * ((s32) in[6]) +
|
|
((limb) ((s32) in2[6])) * ((s32) in[4]) +
|
|
((limb) ((s32) in2[2])) * ((s32) in[8]) +
|
|
((limb) ((s32) in2[8])) * ((s32) in[2]);
|
|
output[11] = ((limb) ((s32) in2[5])) * ((s32) in[6]) +
|
|
((limb) ((s32) in2[6])) * ((s32) in[5]) +
|
|
((limb) ((s32) in2[4])) * ((s32) in[7]) +
|
|
((limb) ((s32) in2[7])) * ((s32) in[4]) +
|
|
((limb) ((s32) in2[3])) * ((s32) in[8]) +
|
|
((limb) ((s32) in2[8])) * ((s32) in[3]) +
|
|
((limb) ((s32) in2[2])) * ((s32) in[9]) +
|
|
((limb) ((s32) in2[9])) * ((s32) in[2]);
|
|
output[12] = ((limb) ((s32) in2[6])) * ((s32) in[6]) +
|
|
2 * (((limb) ((s32) in2[5])) * ((s32) in[7]) +
|
|
((limb) ((s32) in2[7])) * ((s32) in[5]) +
|
|
((limb) ((s32) in2[3])) * ((s32) in[9]) +
|
|
((limb) ((s32) in2[9])) * ((s32) in[3])) +
|
|
((limb) ((s32) in2[4])) * ((s32) in[8]) +
|
|
((limb) ((s32) in2[8])) * ((s32) in[4]);
|
|
output[13] = ((limb) ((s32) in2[6])) * ((s32) in[7]) +
|
|
((limb) ((s32) in2[7])) * ((s32) in[6]) +
|
|
((limb) ((s32) in2[5])) * ((s32) in[8]) +
|
|
((limb) ((s32) in2[8])) * ((s32) in[5]) +
|
|
((limb) ((s32) in2[4])) * ((s32) in[9]) +
|
|
((limb) ((s32) in2[9])) * ((s32) in[4]);
|
|
output[14] = 2 * (((limb) ((s32) in2[7])) * ((s32) in[7]) +
|
|
((limb) ((s32) in2[5])) * ((s32) in[9]) +
|
|
((limb) ((s32) in2[9])) * ((s32) in[5])) +
|
|
((limb) ((s32) in2[6])) * ((s32) in[8]) +
|
|
((limb) ((s32) in2[8])) * ((s32) in[6]);
|
|
output[15] = ((limb) ((s32) in2[7])) * ((s32) in[8]) +
|
|
((limb) ((s32) in2[8])) * ((s32) in[7]) +
|
|
((limb) ((s32) in2[6])) * ((s32) in[9]) +
|
|
((limb) ((s32) in2[9])) * ((s32) in[6]);
|
|
output[16] = ((limb) ((s32) in2[8])) * ((s32) in[8]) +
|
|
2 * (((limb) ((s32) in2[7])) * ((s32) in[9]) +
|
|
((limb) ((s32) in2[9])) * ((s32) in[7]));
|
|
output[17] = ((limb) ((s32) in2[8])) * ((s32) in[9]) +
|
|
((limb) ((s32) in2[9])) * ((s32) in[8]);
|
|
output[18] = 2 * ((limb) ((s32) in2[9])) * ((s32) in[9]);
|
|
}
|
|
|
|
static inline void freduce_degree(limb *output) {
|
|
output[8] += output[18] << 4;
|
|
output[8] += output[18] << 1;
|
|
output[8] += output[18];
|
|
output[7] += output[17] << 4;
|
|
output[7] += output[17] << 1;
|
|
output[7] += output[17];
|
|
output[6] += output[16] << 4;
|
|
output[6] += output[16] << 1;
|
|
output[6] += output[16];
|
|
output[5] += output[15] << 4;
|
|
output[5] += output[15] << 1;
|
|
output[5] += output[15];
|
|
output[4] += output[14] << 4;
|
|
output[4] += output[14] << 1;
|
|
output[4] += output[14];
|
|
output[3] += output[13] << 4;
|
|
output[3] += output[13] << 1;
|
|
output[3] += output[13];
|
|
output[2] += output[12] << 4;
|
|
output[2] += output[12] << 1;
|
|
output[2] += output[12];
|
|
output[1] += output[11] << 4;
|
|
output[1] += output[11] << 1;
|
|
output[1] += output[11];
|
|
output[0] += output[10] << 4;
|
|
output[0] += output[10] << 1;
|
|
output[0] += output[10];
|
|
}
|
|
|
|
#if (-1 & 3) != 3
|
|
#error "This code only works on a two's complement system"
|
|
#endif
|
|
|
|
static inline limb div_by_2_26(const limb v)
|
|
{
|
|
/* High word of v; no shift needed. */
|
|
const uint32_t highword = (uint32_t) (((uint64_t) v) >> 32);
|
|
/* Set to all 1s if v was negative; else set to 0s. */
|
|
const int32_t sign = ((int32_t) highword) >> 31;
|
|
/* Set to 0x3ffffff if v was negative; else set to 0. */
|
|
const int32_t roundoff = ((uint32_t) sign) >> 6;
|
|
/* Should return v / (1<<26) */
|
|
return (v + roundoff) >> 26;
|
|
}
|
|
|
|
static inline limb div_by_2_25(const limb v)
|
|
{
|
|
/* High word of v; no shift needed*/
|
|
const uint32_t highword = (uint32_t) (((uint64_t) v) >> 32);
|
|
/* Set to all 1s if v was negative; else set to 0s. */
|
|
const int32_t sign = ((int32_t) highword) >> 31;
|
|
/* Set to 0x1ffffff if v was negative; else set to 0. */
|
|
const int32_t roundoff = ((uint32_t) sign) >> 7;
|
|
/* Should return v / (1<<25) */
|
|
return (v + roundoff) >> 25;
|
|
}
|
|
|
|
static inline void freduce_coefficients(limb *output) {
|
|
unsigned i;
|
|
|
|
output[10] = 0;
|
|
|
|
for (i = 0; i < 10; i += 2) {
|
|
limb over = div_by_2_26(output[i]);
|
|
/* The entry condition (that |output[i]| < 280*2^54) means that over is, at
|
|
* most, 280*2^28 in the first iteration of this loop. This is added to the
|
|
* next limb and we can approximate the resulting bound of that limb by
|
|
* 281*2^54. */
|
|
output[i] -= over << 26;
|
|
output[i+1] += over;
|
|
|
|
/* For the first iteration, |output[i+1]| < 281*2^54, thus |over| <
|
|
* 281*2^29. When this is added to the next limb, the resulting bound can
|
|
* be approximated as 281*2^54.
|
|
*
|
|
* For subsequent iterations of the loop, 281*2^54 remains a conservative
|
|
* bound and no overflow occurs. */
|
|
over = div_by_2_25(output[i+1]);
|
|
output[i+1] -= over << 25;
|
|
output[i+2] += over;
|
|
}
|
|
/* Now |output[10]| < 281*2^29 and all other coefficients are reduced. */
|
|
output[0] += output[10] << 4;
|
|
output[0] += output[10] << 1;
|
|
output[0] += output[10];
|
|
|
|
output[10] = 0;
|
|
|
|
/* Now output[1..9] are reduced, and |output[0]| < 2^26 + 19*281*2^29
|
|
* So |over| will be no more than 2^16. */
|
|
{
|
|
limb over = div_by_2_26(output[0]);
|
|
output[0] -= over << 26;
|
|
output[1] += over;
|
|
}
|
|
|
|
/* Now output[0,2..9] are reduced, and |output[1]| < 2^25 + 2^16 < 2^26. The
|
|
* bound on |output[1]| is sufficient to meet our needs. */
|
|
}
|
|
|
|
static inline void fmul(limb *output, const limb *in, const limb *in2) {
|
|
limb t[19];
|
|
fproduct(t, in, in2);
|
|
/* |t[i]| < 14*2^54 */
|
|
freduce_degree(t);
|
|
freduce_coefficients(t);
|
|
/* |t[i]| < 2^26 */
|
|
memcpy(output, t, sizeof(limb) * 10);
|
|
}
|
|
|
|
static inline void fsquare_inner(limb *output, const limb *in) {
|
|
output[0] = ((limb) ((s32) in[0])) * ((s32) in[0]);
|
|
output[1] = 2 * ((limb) ((s32) in[0])) * ((s32) in[1]);
|
|
output[2] = 2 * (((limb) ((s32) in[1])) * ((s32) in[1]) +
|
|
((limb) ((s32) in[0])) * ((s32) in[2]));
|
|
output[3] = 2 * (((limb) ((s32) in[1])) * ((s32) in[2]) +
|
|
((limb) ((s32) in[0])) * ((s32) in[3]));
|
|
output[4] = ((limb) ((s32) in[2])) * ((s32) in[2]) +
|
|
4 * ((limb) ((s32) in[1])) * ((s32) in[3]) +
|
|
2 * ((limb) ((s32) in[0])) * ((s32) in[4]);
|
|
output[5] = 2 * (((limb) ((s32) in[2])) * ((s32) in[3]) +
|
|
((limb) ((s32) in[1])) * ((s32) in[4]) +
|
|
((limb) ((s32) in[0])) * ((s32) in[5]));
|
|
output[6] = 2 * (((limb) ((s32) in[3])) * ((s32) in[3]) +
|
|
((limb) ((s32) in[2])) * ((s32) in[4]) +
|
|
((limb) ((s32) in[0])) * ((s32) in[6]) +
|
|
2 * ((limb) ((s32) in[1])) * ((s32) in[5]));
|
|
output[7] = 2 * (((limb) ((s32) in[3])) * ((s32) in[4]) +
|
|
((limb) ((s32) in[2])) * ((s32) in[5]) +
|
|
((limb) ((s32) in[1])) * ((s32) in[6]) +
|
|
((limb) ((s32) in[0])) * ((s32) in[7]));
|
|
output[8] = ((limb) ((s32) in[4])) * ((s32) in[4]) +
|
|
2 * (((limb) ((s32) in[2])) * ((s32) in[6]) +
|
|
((limb) ((s32) in[0])) * ((s32) in[8]) +
|
|
2 * (((limb) ((s32) in[1])) * ((s32) in[7]) +
|
|
((limb) ((s32) in[3])) * ((s32) in[5])));
|
|
output[9] = 2 * (((limb) ((s32) in[4])) * ((s32) in[5]) +
|
|
((limb) ((s32) in[3])) * ((s32) in[6]) +
|
|
((limb) ((s32) in[2])) * ((s32) in[7]) +
|
|
((limb) ((s32) in[1])) * ((s32) in[8]) +
|
|
((limb) ((s32) in[0])) * ((s32) in[9]));
|
|
output[10] = 2 * (((limb) ((s32) in[5])) * ((s32) in[5]) +
|
|
((limb) ((s32) in[4])) * ((s32) in[6]) +
|
|
((limb) ((s32) in[2])) * ((s32) in[8]) +
|
|
2 * (((limb) ((s32) in[3])) * ((s32) in[7]) +
|
|
((limb) ((s32) in[1])) * ((s32) in[9])));
|
|
output[11] = 2 * (((limb) ((s32) in[5])) * ((s32) in[6]) +
|
|
((limb) ((s32) in[4])) * ((s32) in[7]) +
|
|
((limb) ((s32) in[3])) * ((s32) in[8]) +
|
|
((limb) ((s32) in[2])) * ((s32) in[9]));
|
|
output[12] = ((limb) ((s32) in[6])) * ((s32) in[6]) +
|
|
2 * (((limb) ((s32) in[4])) * ((s32) in[8]) +
|
|
2 * (((limb) ((s32) in[5])) * ((s32) in[7]) +
|
|
((limb) ((s32) in[3])) * ((s32) in[9])));
|
|
output[13] = 2 * (((limb) ((s32) in[6])) * ((s32) in[7]) +
|
|
((limb) ((s32) in[5])) * ((s32) in[8]) +
|
|
((limb) ((s32) in[4])) * ((s32) in[9]));
|
|
output[14] = 2 * (((limb) ((s32) in[7])) * ((s32) in[7]) +
|
|
((limb) ((s32) in[6])) * ((s32) in[8]) +
|
|
2 * ((limb) ((s32) in[5])) * ((s32) in[9]));
|
|
output[15] = 2 * (((limb) ((s32) in[7])) * ((s32) in[8]) +
|
|
((limb) ((s32) in[6])) * ((s32) in[9]));
|
|
output[16] = ((limb) ((s32) in[8])) * ((s32) in[8]) +
|
|
4 * ((limb) ((s32) in[7])) * ((s32) in[9]);
|
|
output[17] = 2 * ((limb) ((s32) in[8])) * ((s32) in[9]);
|
|
output[18] = 2 * ((limb) ((s32) in[9])) * ((s32) in[9]);
|
|
}
|
|
|
|
static void fsquare(limb *output, const limb *in) {
|
|
limb t[19];
|
|
fsquare_inner(t, in);
|
|
/* |t[i]| < 14*2^54 because the largest product of two limbs will be <
|
|
* 2^(27+27) and fsquare_inner adds together, at most, 14 of those
|
|
* products. */
|
|
freduce_degree(t);
|
|
freduce_coefficients(t);
|
|
/* |t[i]| < 2^26 */
|
|
memcpy(output, t, sizeof(limb) * 10);
|
|
}
|
|
|
|
static inline void fexpand(limb *output, const u8 *input) {
|
|
#define F(n,start,shift,mask) \
|
|
output[n] = ((((limb) input[start + 0]) | \
|
|
((limb) input[start + 1]) << 8 | \
|
|
((limb) input[start + 2]) << 16 | \
|
|
((limb) input[start + 3]) << 24) >> shift) & mask;
|
|
F(0, 0, 0, 0x3ffffff);
|
|
F(1, 3, 2, 0x1ffffff);
|
|
F(2, 6, 3, 0x3ffffff);
|
|
F(3, 9, 5, 0x1ffffff);
|
|
F(4, 12, 6, 0x3ffffff);
|
|
F(5, 16, 0, 0x1ffffff);
|
|
F(6, 19, 1, 0x3ffffff);
|
|
F(7, 22, 3, 0x1ffffff);
|
|
F(8, 25, 4, 0x3ffffff);
|
|
F(9, 28, 6, 0x1ffffff);
|
|
#undef F
|
|
}
|
|
|
|
#if (-32 >> 1) != -16
|
|
#error "This code only works when >> does sign-extension on negative numbers"
|
|
#endif
|
|
|
|
static inline s32 s32_eq(s32 a, s32 b) {
|
|
a = ~(a ^ b);
|
|
a &= a << 16;
|
|
a &= a << 8;
|
|
a &= a << 4;
|
|
a &= a << 2;
|
|
a &= a << 1;
|
|
return a >> 31;
|
|
}
|
|
|
|
static inline s32 s32_gte(s32 a, s32 b) {
|
|
a -= b;
|
|
/* a >= 0 iff a >= b. */
|
|
return ~(a >> 31);
|
|
}
|
|
|
|
static inline void fcontract(u8 *output, limb *input_limbs) {
|
|
int i;
|
|
int j;
|
|
s32 input[10];
|
|
s32 mask;
|
|
|
|
/* |input_limbs[i]| < 2^26, so it's valid to convert to an s32. */
|
|
for (i = 0; i < 10; i++) {
|
|
input[i] = input_limbs[i];
|
|
}
|
|
|
|
for (j = 0; j < 2; ++j) {
|
|
for (i = 0; i < 9; ++i) {
|
|
if ((i & 1) == 1) {
|
|
/* This calculation is a time-invariant way to make input[i]
|
|
* non-negative by borrowing from the next-larger limb. */
|
|
const s32 mask = input[i] >> 31;
|
|
const s32 carry = -((input[i] & mask) >> 25);
|
|
input[i] = input[i] + (carry << 25);
|
|
input[i+1] = input[i+1] - carry;
|
|
} else {
|
|
const s32 mask = input[i] >> 31;
|
|
const s32 carry = -((input[i] & mask) >> 26);
|
|
input[i] = input[i] + (carry << 26);
|
|
input[i+1] = input[i+1] - carry;
|
|
}
|
|
}
|
|
|
|
/* There's no greater limb for input[9] to borrow from, but we can multiply
|
|
* by 19 and borrow from input[0], which is valid mod 2^255-19. */
|
|
{
|
|
const s32 mask = input[9] >> 31;
|
|
const s32 carry = -((input[9] & mask) >> 25);
|
|
input[9] = input[9] + (carry << 25);
|
|
input[0] = input[0] - (carry * 19);
|
|
}
|
|
|
|
/* After the first iteration, input[1..9] are non-negative and fit within
|
|
* 25 or 26 bits, depending on position. However, input[0] may be
|
|
* negative. */
|
|
}
|
|
|
|
/* The first borrow-propagation pass above ended with every limb
|
|
except (possibly) input[0] non-negative.
|
|
|
|
If input[0] was negative after the first pass, then it was because of a
|
|
carry from input[9]. On entry, input[9] < 2^26 so the carry was, at most,
|
|
one, since (2**26-1) >> 25 = 1. Thus input[0] >= -19.
|
|
|
|
In the second pass, each limb is decreased by at most one. Thus the second
|
|
borrow-propagation pass could only have wrapped around to decrease
|
|
input[0] again if the first pass left input[0] negative *and* input[1]
|
|
through input[9] were all zero. In that case, input[1] is now 2^25 - 1,
|
|
and this last borrow-propagation step will leave input[1] non-negative. */
|
|
{
|
|
const s32 mask = input[0] >> 31;
|
|
const s32 carry = -((input[0] & mask) >> 26);
|
|
input[0] = input[0] + (carry << 26);
|
|
input[1] = input[1] - carry;
|
|
}
|
|
|
|
/* All input[i] are now non-negative. However, there might be values between
|
|
* 2^25 and 2^26 in a limb which is, nominally, 25 bits wide. */
|
|
for (j = 0; j < 2; j++) {
|
|
for (i = 0; i < 9; i++) {
|
|
if ((i & 1) == 1) {
|
|
const s32 carry = input[i] >> 25;
|
|
input[i] &= 0x1ffffff;
|
|
input[i+1] += carry;
|
|
} else {
|
|
const s32 carry = input[i] >> 26;
|
|
input[i] &= 0x3ffffff;
|
|
input[i+1] += carry;
|
|
}
|
|
}
|
|
|
|
{
|
|
const s32 carry = input[9] >> 25;
|
|
input[9] &= 0x1ffffff;
|
|
input[0] += 19*carry;
|
|
}
|
|
}
|
|
|
|
/* If the first carry-chain pass, just above, ended up with a carry from
|
|
* input[9], and that caused input[0] to be out-of-bounds, then input[0] was
|
|
* < 2^26 + 2*19, because the carry was, at most, two.
|
|
*
|
|
* If the second pass carried from input[9] again then input[0] is < 2*19 and
|
|
* the input[9] -> input[0] carry didn't push input[0] out of bounds. */
|
|
|
|
/* It still remains the case that input might be between 2^255-19 and 2^255.
|
|
* In this case, input[1..9] must take their maximum value and input[0] must
|
|
* be >= (2^255-19) & 0x3ffffff, which is 0x3ffffed. */
|
|
mask = s32_gte(input[0], 0x3ffffed);
|
|
for (i = 1; i < 10; i++) {
|
|
if ((i & 1) == 1) {
|
|
mask &= s32_eq(input[i], 0x1ffffff);
|
|
} else {
|
|
mask &= s32_eq(input[i], 0x3ffffff);
|
|
}
|
|
}
|
|
|
|
/* mask is either 0xffffffff (if input >= 2^255-19) and zero otherwise. Thus
|
|
* this conditionally subtracts 2^255-19. */
|
|
input[0] -= mask & 0x3ffffed;
|
|
|
|
for (i = 1; i < 10; i++) {
|
|
if ((i & 1) == 1) {
|
|
input[i] -= mask & 0x1ffffff;
|
|
} else {
|
|
input[i] -= mask & 0x3ffffff;
|
|
}
|
|
}
|
|
|
|
input[1] <<= 2;
|
|
input[2] <<= 3;
|
|
input[3] <<= 5;
|
|
input[4] <<= 6;
|
|
input[6] <<= 1;
|
|
input[7] <<= 3;
|
|
input[8] <<= 4;
|
|
input[9] <<= 6;
|
|
#define F(i, s) \
|
|
output[s+0] |= input[i] & 0xff; \
|
|
output[s+1] = (input[i] >> 8) & 0xff; \
|
|
output[s+2] = (input[i] >> 16) & 0xff; \
|
|
output[s+3] = (input[i] >> 24) & 0xff;
|
|
output[0] = 0;
|
|
output[16] = 0;
|
|
F(0,0);
|
|
F(1,3);
|
|
F(2,6);
|
|
F(3,9);
|
|
F(4,12);
|
|
F(5,16);
|
|
F(6,19);
|
|
F(7,22);
|
|
F(8,25);
|
|
F(9,28);
|
|
#undef F
|
|
}
|
|
|
|
static inline void fmonty(limb *x2, limb *z2, /* output 2Q */
|
|
limb *x3, limb *z3, /* output Q + Q' */
|
|
limb *x, limb *z, /* input Q */
|
|
limb *xprime, limb *zprime, /* input Q' */
|
|
const limb *qmqp /* input Q - Q' */) {
|
|
limb origx[10], origxprime[10], zzz[19], xx[19], zz[19], xxprime[19],
|
|
zzprime[19], zzzprime[19], xxxprime[19];
|
|
|
|
memcpy(origx, x, 10 * sizeof(limb));
|
|
fsum(x, z);
|
|
/* |x[i]| < 2^27 */
|
|
fdifference(z, origx); /* does x - z */
|
|
/* |z[i]| < 2^27 */
|
|
|
|
memcpy(origxprime, xprime, sizeof(limb) * 10);
|
|
fsum(xprime, zprime);
|
|
/* |xprime[i]| < 2^27 */
|
|
fdifference(zprime, origxprime);
|
|
/* |zprime[i]| < 2^27 */
|
|
fproduct(xxprime, xprime, z);
|
|
/* |xxprime[i]| < 14*2^54: the largest product of two limbs will be <
|
|
* 2^(27+27) and fproduct adds together, at most, 14 of those products.
|
|
* (Approximating that to 2^58 doesn't work out.) */
|
|
fproduct(zzprime, x, zprime);
|
|
/* |zzprime[i]| < 14*2^54 */
|
|
freduce_degree(xxprime);
|
|
freduce_coefficients(xxprime);
|
|
/* |xxprime[i]| < 2^26 */
|
|
freduce_degree(zzprime);
|
|
freduce_coefficients(zzprime);
|
|
/* |zzprime[i]| < 2^26 */
|
|
memcpy(origxprime, xxprime, sizeof(limb) * 10);
|
|
fsum(xxprime, zzprime);
|
|
/* |xxprime[i]| < 2^27 */
|
|
fdifference(zzprime, origxprime);
|
|
/* |zzprime[i]| < 2^27 */
|
|
fsquare(xxxprime, xxprime);
|
|
/* |xxxprime[i]| < 2^26 */
|
|
fsquare(zzzprime, zzprime);
|
|
/* |zzzprime[i]| < 2^26 */
|
|
fproduct(zzprime, zzzprime, qmqp);
|
|
/* |zzprime[i]| < 14*2^52 */
|
|
freduce_degree(zzprime);
|
|
freduce_coefficients(zzprime);
|
|
/* |zzprime[i]| < 2^26 */
|
|
memcpy(x3, xxxprime, sizeof(limb) * 10);
|
|
memcpy(z3, zzprime, sizeof(limb) * 10);
|
|
|
|
fsquare(xx, x);
|
|
/* |xx[i]| < 2^26 */
|
|
fsquare(zz, z);
|
|
/* |zz[i]| < 2^26 */
|
|
fproduct(x2, xx, zz);
|
|
/* |x2[i]| < 14*2^52 */
|
|
freduce_degree(x2);
|
|
freduce_coefficients(x2);
|
|
/* |x2[i]| < 2^26 */
|
|
fdifference(zz, xx); // does zz = xx - zz
|
|
/* |zz[i]| < 2^27 */
|
|
memset(zzz + 10, 0, sizeof(limb) * 9);
|
|
fscalar_product(zzz, zz, 121665);
|
|
/* |zzz[i]| < 2^(27+17) */
|
|
/* No need to call freduce_degree here:
|
|
fscalar_product doesn't increase the degree of its input. */
|
|
freduce_coefficients(zzz);
|
|
/* |zzz[i]| < 2^26 */
|
|
fsum(zzz, xx);
|
|
/* |zzz[i]| < 2^27 */
|
|
fproduct(z2, zz, zzz);
|
|
/* |z2[i]| < 14*2^(26+27) */
|
|
freduce_degree(z2);
|
|
freduce_coefficients(z2);
|
|
/* |z2|i| < 2^26 */
|
|
}
|
|
|
|
static inline void swap_conditional(limb a[19], limb b[19], limb iswap) {
|
|
unsigned i;
|
|
const s32 swap = (s32) -iswap;
|
|
|
|
for (i = 0; i < 10; ++i) {
|
|
const s32 x = swap & ( ((s32)a[i]) ^ ((s32)b[i]) );
|
|
a[i] = ((s32)a[i]) ^ x;
|
|
b[i] = ((s32)b[i]) ^ x;
|
|
}
|
|
}
|
|
|
|
static inline void cmult(limb *resultx, limb *resultz, const u8 *n, const limb *q) {
|
|
limb a[19] = {0}, b[19] = {1}, c[19] = {1}, d[19] = {0};
|
|
limb *nqpqx = a, *nqpqz = b, *nqx = c, *nqz = d, *t;
|
|
limb e[19] = {0}, f[19] = {1}, g[19] = {0}, h[19] = {1};
|
|
limb *nqpqx2 = e, *nqpqz2 = f, *nqx2 = g, *nqz2 = h;
|
|
|
|
unsigned i, j;
|
|
|
|
memcpy(nqpqx, q, sizeof(limb) * 10);
|
|
|
|
for (i = 0; i < 32; ++i) {
|
|
u8 byte = n[31 - i];
|
|
for (j = 0; j < 8; ++j) {
|
|
const limb bit = byte >> 7;
|
|
|
|
swap_conditional(nqx, nqpqx, bit);
|
|
swap_conditional(nqz, nqpqz, bit);
|
|
fmonty(nqx2, nqz2,
|
|
nqpqx2, nqpqz2,
|
|
nqx, nqz,
|
|
nqpqx, nqpqz,
|
|
q);
|
|
swap_conditional(nqx2, nqpqx2, bit);
|
|
swap_conditional(nqz2, nqpqz2, bit);
|
|
|
|
t = nqx;
|
|
nqx = nqx2;
|
|
nqx2 = t;
|
|
t = nqz;
|
|
nqz = nqz2;
|
|
nqz2 = t;
|
|
t = nqpqx;
|
|
nqpqx = nqpqx2;
|
|
nqpqx2 = t;
|
|
t = nqpqz;
|
|
nqpqz = nqpqz2;
|
|
nqpqz2 = t;
|
|
|
|
byte <<= 1;
|
|
}
|
|
}
|
|
|
|
memcpy(resultx, nqx, sizeof(limb) * 10);
|
|
memcpy(resultz, nqz, sizeof(limb) * 10);
|
|
}
|
|
|
|
static inline void crecip(limb *out, const limb *z) {
|
|
limb z2[10];
|
|
limb z9[10];
|
|
limb z11[10];
|
|
limb z2_5_0[10];
|
|
limb z2_10_0[10];
|
|
limb z2_20_0[10];
|
|
limb z2_50_0[10];
|
|
limb z2_100_0[10];
|
|
limb t0[10];
|
|
limb t1[10];
|
|
int i;
|
|
|
|
/* 2 */ fsquare(z2,z);
|
|
/* 4 */ fsquare(t1,z2);
|
|
/* 8 */ fsquare(t0,t1);
|
|
/* 9 */ fmul(z9,t0,z);
|
|
/* 11 */ fmul(z11,z9,z2);
|
|
/* 22 */ fsquare(t0,z11);
|
|
/* 2^5 - 2^0 = 31 */ fmul(z2_5_0,t0,z9);
|
|
|
|
/* 2^6 - 2^1 */ fsquare(t0,z2_5_0);
|
|
/* 2^7 - 2^2 */ fsquare(t1,t0);
|
|
/* 2^8 - 2^3 */ fsquare(t0,t1);
|
|
/* 2^9 - 2^4 */ fsquare(t1,t0);
|
|
/* 2^10 - 2^5 */ fsquare(t0,t1);
|
|
/* 2^10 - 2^0 */ fmul(z2_10_0,t0,z2_5_0);
|
|
|
|
/* 2^11 - 2^1 */ fsquare(t0,z2_10_0);
|
|
/* 2^12 - 2^2 */ fsquare(t1,t0);
|
|
/* 2^20 - 2^10 */ for (i = 2;i < 10;i += 2) { fsquare(t0,t1); fsquare(t1,t0); }
|
|
/* 2^20 - 2^0 */ fmul(z2_20_0,t1,z2_10_0);
|
|
|
|
/* 2^21 - 2^1 */ fsquare(t0,z2_20_0);
|
|
/* 2^22 - 2^2 */ fsquare(t1,t0);
|
|
/* 2^40 - 2^20 */ for (i = 2;i < 20;i += 2) { fsquare(t0,t1); fsquare(t1,t0); }
|
|
/* 2^40 - 2^0 */ fmul(t0,t1,z2_20_0);
|
|
|
|
/* 2^41 - 2^1 */ fsquare(t1,t0);
|
|
/* 2^42 - 2^2 */ fsquare(t0,t1);
|
|
/* 2^50 - 2^10 */ for (i = 2;i < 10;i += 2) { fsquare(t1,t0); fsquare(t0,t1); }
|
|
/* 2^50 - 2^0 */ fmul(z2_50_0,t0,z2_10_0);
|
|
|
|
/* 2^51 - 2^1 */ fsquare(t0,z2_50_0);
|
|
/* 2^52 - 2^2 */ fsquare(t1,t0);
|
|
/* 2^100 - 2^50 */ for (i = 2;i < 50;i += 2) { fsquare(t0,t1); fsquare(t1,t0); }
|
|
/* 2^100 - 2^0 */ fmul(z2_100_0,t1,z2_50_0);
|
|
|
|
/* 2^101 - 2^1 */ fsquare(t1,z2_100_0);
|
|
/* 2^102 - 2^2 */ fsquare(t0,t1);
|
|
/* 2^200 - 2^100 */ for (i = 2;i < 100;i += 2) { fsquare(t1,t0); fsquare(t0,t1); }
|
|
/* 2^200 - 2^0 */ fmul(t1,t0,z2_100_0);
|
|
|
|
/* 2^201 - 2^1 */ fsquare(t0,t1);
|
|
/* 2^202 - 2^2 */ fsquare(t1,t0);
|
|
/* 2^250 - 2^50 */ for (i = 2;i < 50;i += 2) { fsquare(t0,t1); fsquare(t1,t0); }
|
|
/* 2^250 - 2^0 */ fmul(t0,t1,z2_50_0);
|
|
|
|
/* 2^251 - 2^1 */ fsquare(t1,t0);
|
|
/* 2^252 - 2^2 */ fsquare(t0,t1);
|
|
/* 2^253 - 2^3 */ fsquare(t1,t0);
|
|
/* 2^254 - 2^4 */ fsquare(t0,t1);
|
|
/* 2^255 - 2^5 */ fsquare(t1,t0);
|
|
/* 2^255 - 21 */ fmul(out,t1,z11);
|
|
}
|
|
|
|
static void crypto_scalarmult(u8 *mypublic, const u8 *secret, const u8 *basepoint) {
|
|
limb bp[10], x[10], z[11], zmone[10];
|
|
uint8_t e[32];
|
|
int i;
|
|
|
|
for (i = 0; i < 32; ++i) {
|
|
e[i] = secret[i];
|
|
}
|
|
e[0] &= 248;
|
|
e[31] &= 127;
|
|
e[31] |= 64;
|
|
|
|
fexpand(bp, basepoint);
|
|
cmult(x, z, e, bp);
|
|
crecip(zmone, z);
|
|
fmul(z, x, zmone);
|
|
fcontract(mypublic, z);
|
|
}
|
|
|
|
static const unsigned char base[32] = {9};
|
|
static inline void crypto_scalarmult_base(unsigned char *q,const unsigned char *n)
|
|
{
|
|
crypto_scalarmult(q,n,base);
|
|
}
|
|
|
|
//////////////////////////////////////////////////////////////////////////////
|
|
//////////////////////////////////////////////////////////////////////////////
|
|
|
|
// Ed25519 ref from: http://bench.cr.yp.to/supercop.html
|
|
|
|
typedef struct
|
|
{
|
|
crypto_uint32 v[32];
|
|
}
|
|
fe25519;
|
|
|
|
typedef struct
|
|
{
|
|
crypto_uint32 v[32];
|
|
}
|
|
sc25519;
|
|
|
|
typedef struct
|
|
{
|
|
crypto_uint32 v[16];
|
|
}
|
|
shortsc25519;
|
|
|
|
typedef struct
|
|
{
|
|
fe25519 x;
|
|
fe25519 y;
|
|
fe25519 z;
|
|
fe25519 t;
|
|
} ge25519;
|
|
|
|
#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;
|
|
|
|
static inline void fe25519_sub(fe25519 *r, const fe25519 *x, const fe25519 *y);
|
|
|
|
static inline crypto_uint32 equal(crypto_uint32 a,crypto_uint32 b) /* 16-bit inputs */
|
|
{
|
|
crypto_uint32 x = a ^ b; /* 0: yes; 1..65535: no */
|
|
x -= 1; /* 4294967295: yes; 0..65534: no */
|
|
x >>= 31; /* 1: yes; 0: no */
|
|
return x;
|
|
}
|
|
|
|
static inline 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 inline crypto_uint32 times19(crypto_uint32 a)
|
|
{
|
|
return (a << 4) + (a << 1) + a;
|
|
}
|
|
|
|
static inline crypto_uint32 times38(crypto_uint32 a)
|
|
{
|
|
return (a << 5) + (a << 2) + (a << 1);
|
|
}
|
|
|
|
static inline 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 inline 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 */
|
|
static inline 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;
|
|
}
|
|
|
|
static inline 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 */
|
|
static inline 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];
|
|
}
|
|
}
|
|
|
|
static inline 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;
|
|
}
|
|
|
|
static inline 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]);
|
|
}
|
|
}
|
|
|
|
static inline unsigned char fe25519_getparity(const fe25519 *x)
|
|
{
|
|
fe25519 t = *x;
|
|
fe25519_freeze(&t);
|
|
return t.v[0] & 1;
|
|
}
|
|
|
|
static inline void fe25519_setone(fe25519 *r)
|
|
{
|
|
int i;
|
|
r->v[0] = 1;
|
|
for(i=1;i<32;i++) {
|
|
r->v[i]=0;
|
|
}
|
|
}
|
|
|
|
static inline void fe25519_setzero(fe25519 *r)
|
|
{
|
|
int i;
|
|
for(i=0;i<32;i++) {
|
|
r->v[i]=0;
|
|
}
|
|
}
|
|
|
|
static inline 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);
|
|
}
|
|
|
|
static inline 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);
|
|
}
|
|
|
|
static inline 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);
|
|
}
|
|
|
|
static inline 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);
|
|
}
|
|
|
|
static inline void fe25519_square(fe25519 *r, const fe25519 *x)
|
|
{
|
|
fe25519_mul(r, x, x);
|
|
}
|
|
|
|
static inline 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);
|
|
}
|
|
|
|
static inline 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);
|
|
}
|
|
|
|
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 inline 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 inline 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 inline 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);
|
|
}
|
|
|
|
static inline 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);
|
|
}
|
|
|
|
static inline 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);
|
|
}
|
|
|
|
static inline void sc25519_to32bytes(unsigned char r[32], const sc25519 *x)
|
|
{
|
|
int i;
|
|
for(i=0;i<32;i++) {
|
|
r[i] = x->v[i];
|
|
}
|
|
}
|
|
|
|
static inline 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);
|
|
}
|
|
|
|
static inline 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];
|
|
}
|
|
}
|
|
|
|
for(i=0;i<63;i++) {
|
|
carry = t[i] >> 8;
|
|
t[i+1] += carry;
|
|
t[i] &= 0xff;
|
|
}
|
|
|
|
barrett_reduce(r, t);
|
|
}
|
|
|
|
static inline 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;
|
|
}
|
|
|
|
static inline 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);
|
|
}
|
|
|
|
/* d */
|
|
static const fe25519 ge25519_ecd = {{0xA3, 0x78, 0x59, 0x13, 0xCA, 0x4D, 0xEB, 0x75, 0xAB, 0xD8, 0x41, 0x41, 0x4D, 0x0A, 0x70, 0x00,
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|
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,
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|
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}};
|
|
|
|
/* Packed coordinates of the base point */
|
|
static 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,
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|
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] = {
|
|
{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 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}}},
|
|
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{0xf8, 0x64, 0x8b, 0x60, 0x90, 0xe9, 0xde, 0x44, 0x77, 0xb9, 0x07, 0x36, 0x32, 0xc2, 0x50, 0xf5, 0x65, 0xdf, 0x48, 0x4c, 0x37, 0xaa, 0x68, 0xab, 0x9a, 0x1f, 0x3e, 0xff, 0x89, 0x92, 0xa0, 0x07}}},
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{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
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{{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{{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}} ,
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{{0x96, 0xf3, 0x3a, 0x09, 0x56, 0xb0, 0x6f, 0x7c, 0x51, 0x1e, 0x1b, 0x39, 0x48, 0xea, 0xc9, 0x0c, 0x25, 0xa2, 0x7a, 0xca, 0xe7, 0x92, 0xfc, 0x59, 0x30, 0xa3, 0x89, 0x85, 0xdf, 0x6f, 0x43, 0x38}}},
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{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
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{{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
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{{{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}} ,
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{{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}}},
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{{{0x2b, 0xbe, 0xaf, 0xa1, 0x6d, 0x2f, 0x0b, 0xb1, 0x8f, 0xe3, 0xe0, 0x38, 0xcd, 0x0b, 0x41, 0x1b, 0x4a, 0x15, 0x07, 0xf3, 0x6f, 0xdc, 0xb8, 0xe9, 0xde, 0xb2, 0xa3, 0x40, 0x01, 0xa6, 0x45, 0x1e}} ,
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{{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}}},
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{{{0xfd, 0x67, 0x6b, 0x71, 0x9b, 0x81, 0x53, 0x39, 0x39, 0xf4, 0xb8, 0xd5, 0xc3, 0x30, 0x9b, 0x3b, 0x7c, 0xa3, 0xf0, 0xd0, 0x84, 0x21, 0xd6, 0xbf, 0xb7, 0x4c, 0x87, 0x13, 0x45, 0x2d, 0xa7, 0x55}} ,
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{{{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}} ,
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{{0x0d, 0x82, 0xb9, 0xfe, 0x21, 0xcd, 0xc4, 0xf5, 0x98, 0x0c, 0x4e, 0x72, 0xee, 0x87, 0x49, 0xf8, 0xa1, 0x95, 0xdf, 0x8f, 0x2d, 0xbd, 0x21, 0x06, 0x7c, 0x15, 0xe8, 0x12, 0x6d, 0x93, 0xd6, 0x38}}},
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{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
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{{{0x91, 0xf7, 0x51, 0xd9, 0xef, 0x7d, 0x42, 0x01, 0x13, 0xe9, 0xb8, 0x7f, 0xa6, 0x49, 0x17, 0x64, 0x21, 0x80, 0x83, 0x2c, 0x63, 0x4c, 0x60, 0x09, 0x59, 0x91, 0x92, 0x77, 0x39, 0x51, 0xf4, 0x48}} ,
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{{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}}},
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{{{0xd8, 0xce, 0xdc, 0xf9, 0x3c, 0x4b, 0xa2, 0x1d, 0x2c, 0x2f, 0x36, 0xbe, 0x7a, 0xfc, 0xcd, 0xbc, 0xdc, 0xf9, 0x30, 0xbd, 0xff, 0x05, 0xc7, 0xe4, 0x8e, 0x17, 0x62, 0xf8, 0x4d, 0xa0, 0x56, 0x79}} ,
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{{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}}},
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{{{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}} ,
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{{0xba, 0x38, 0x02, 0xf7, 0x81, 0x43, 0x83, 0xa3, 0x20, 0x4f, 0x01, 0x3b, 0x8a, 0x04, 0x38, 0x31, 0xc6, 0x0f, 0xc8, 0xdf, 0xd7, 0xfa, 0x2f, 0x88, 0x3f, 0xfc, 0x0c, 0x76, 0xc4, 0xa6, 0x45, 0x72}}},
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{{{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}} ,
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{{0x1a, 0xb9, 0xc9, 0x10, 0xfb, 0x1e, 0x4e, 0xf4, 0x84, 0x4b, 0x8a, 0x5e, 0x7b, 0x4b, 0xe8, 0x43, 0x8c, 0x8f, 0x00, 0xb5, 0x54, 0x13, 0xc5, 0x5c, 0xb6, 0x35, 0x4e, 0x9d, 0xe4, 0x5b, 0x41, 0x6d}}},
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{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
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{{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
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{{{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}} ,
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{{0xcb, 0x77, 0x9a, 0x20, 0xde, 0xb8, 0x23, 0xd9, 0xa0, 0x0f, 0x8c, 0x7b, 0xa5, 0xcb, 0xae, 0xb6, 0xec, 0x42, 0x67, 0x0e, 0x58, 0xa4, 0x75, 0x98, 0x21, 0x71, 0x84, 0xb3, 0xe0, 0x76, 0x94, 0x73}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{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}}},
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{{{0xc6, 0xef, 0xb9, 0xc0, 0x2b, 0x22, 0x08, 0x1e, 0x71, 0x70, 0xb3, 0x35, 0x9c, 0x7a, 0x01, 0x92, 0x44, 0x9a, 0xf6, 0xb0, 0x58, 0x95, 0xc1, 0x9b, 0x02, 0xed, 0x2d, 0x7c, 0x34, 0x29, 0x49, 0x44}} ,
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{{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}}},
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{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
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{{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
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{{{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}} ,
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{{0xd2, 0x0c, 0x88, 0xc5, 0x48, 0x4d, 0xea, 0x0d, 0x4a, 0xc9, 0x52, 0x6a, 0x61, 0x79, 0xe9, 0x76, 0xf3, 0x85, 0x52, 0x5c, 0x1b, 0x2c, 0xe1, 0xd6, 0xc4, 0x0f, 0x18, 0x0e, 0x4e, 0xf6, 0x1c, 0x7f}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{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}}},
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{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
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{{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{0x54, 0xdc, 0x16, 0x0d, 0x18, 0xbe, 0x35, 0x64, 0x61, 0x52, 0x02, 0x80, 0xaf, 0x05, 0xf7, 0xa6, 0x42, 0xd3, 0x8f, 0x2e, 0x79, 0x26, 0xa8, 0xbb, 0xb2, 0x17, 0x48, 0xb2, 0x7a, 0x0a, 0x89, 0x14}}},
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{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
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{{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{0xc3, 0xf1, 0xa7, 0x6d, 0xb3, 0x5f, 0x92, 0x6f, 0xcc, 0x91, 0xb8, 0x95, 0x05, 0xdf, 0x3c, 0x64, 0x57, 0x39, 0x61, 0x51, 0xad, 0x8c, 0x38, 0x7b, 0xc8, 0xde, 0x00, 0x34, 0xbe, 0xa1, 0xb0, 0x7e}}},
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{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
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{{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
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{{{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}} ,
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{{0x4e, 0xee, 0x1c, 0x91, 0xe6, 0x11, 0xbd, 0x8e, 0x55, 0x1a, 0x18, 0x75, 0x66, 0xaf, 0x4d, 0x7b, 0x0f, 0xae, 0x6d, 0x85, 0xca, 0x82, 0x58, 0x21, 0x9c, 0x18, 0xe0, 0xed, 0xec, 0x22, 0x80, 0x2f}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{{0xcc, 0x21, 0x27, 0xce, 0xfd, 0xa9, 0x94, 0x8e, 0xe1, 0xab, 0x49, 0xe0, 0x46, 0x26, 0xa1, 0xa8, 0x8c, 0xa1, 0x99, 0x1d, 0xb4, 0x27, 0x6d, 0x2d, 0xc8, 0x39, 0x30, 0x5e, 0x37, 0x52, 0xc4, 0x6e}} ,
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{{{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}} ,
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{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
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{{{0x9f, 0x3e, 0xf2, 0xb2, 0x90, 0xce, 0xdb, 0x64, 0x3e, 0x03, 0xdd, 0x37, 0x36, 0x54, 0x70, 0x76, 0x24, 0xb5, 0x69, 0x03, 0xfc, 0xa0, 0x2b, 0x74, 0xb2, 0x05, 0x0e, 0xcc, 0xd8, 0x1f, 0x6a, 0x1f}} ,
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{{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}}},
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{0x7b, 0x2f, 0x3a, 0xce, 0xc8, 0xa1, 0x79, 0x3c, 0x30, 0x12, 0x44, 0x28, 0xf6, 0xbc, 0xff, 0xfd, 0xf4, 0xc0, 0x97, 0xb0, 0xcc, 0xc3, 0x13, 0x7a, 0xb9, 0x9a, 0x16, 0xe4, 0xcb, 0x4c, 0x34, 0x63}}},
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{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{0xc5, 0xbd, 0xc8, 0x14, 0xd5, 0x0d, 0xeb, 0xe1, 0xa5, 0xe6, 0x83, 0x11, 0x09, 0x00, 0x1d, 0x55, 0x83, 0x51, 0x7e, 0x75, 0x00, 0x81, 0xb9, 0xcb, 0xd8, 0xc5, 0xe5, 0xa1, 0xd9, 0x17, 0x6d, 0x1f}}},
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{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
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{{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
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{{{0xea, 0xf9, 0xe4, 0xe9, 0xe1, 0x52, 0x3f, 0x51, 0x19, 0x0d, 0xdd, 0xd9, 0x9d, 0x93, 0x31, 0x87, 0x23, 0x09, 0xd5, 0x83, 0xeb, 0x92, 0x09, 0x76, 0x6e, 0xe3, 0xf8, 0xc0, 0xa2, 0x66, 0xb5, 0x36}} ,
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{{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}}},
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{{{0xb2, 0xe7, 0x8f, 0xe3, 0xa3, 0xc5, 0xcb, 0x72, 0xee, 0x79, 0x41, 0xf8, 0xdf, 0xee, 0x65, 0xc5, 0x45, 0x77, 0x27, 0x3c, 0xbd, 0x58, 0xd3, 0x75, 0xe2, 0x04, 0x4b, 0xbb, 0x65, 0xf3, 0xc8, 0x0f}} ,
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{{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}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{0xfa, 0x44, 0x71, 0xf6, 0x41, 0xd8, 0xc6, 0x58, 0x13, 0x37, 0xeb, 0x84, 0x0f, 0x96, 0xc7, 0xdc, 0xc8, 0xa9, 0x7a, 0x83, 0xb2, 0x2f, 0x31, 0xb1, 0x1a, 0xd8, 0x98, 0x3f, 0x11, 0xd0, 0x31, 0x3b}}},
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
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{{{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}} ,
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{{0x1f, 0x68, 0x76, 0x01, 0x16, 0x38, 0x2b, 0x0f, 0x77, 0x97, 0x92, 0x67, 0x4e, 0x86, 0x6a, 0x8b, 0xe5, 0xe8, 0x0c, 0xf7, 0x36, 0x39, 0xb5, 0x33, 0xe6, 0xcf, 0x5e, 0xbd, 0x18, 0xfb, 0x10, 0x1f}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{0xc0, 0xd7, 0x56, 0x97, 0x58, 0x91, 0xde, 0x09, 0x4f, 0x9f, 0xbe, 0x63, 0xb0, 0x83, 0x86, 0x43, 0x5d, 0xbc, 0xe0, 0xf3, 0xc0, 0x75, 0xbf, 0x8b, 0x8e, 0xaa, 0xf7, 0x8b, 0x64, 0x6e, 0xb0, 0x63}} ,
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{{{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}} ,
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{{{0xd0, 0x80, 0xba, 0x19, 0xae, 0x1d, 0xa9, 0x79, 0xf6, 0x3f, 0xac, 0x5d, 0x6f, 0x96, 0x1f, 0x2a, 0xce, 0x29, 0xb2, 0xff, 0x37, 0xf1, 0x94, 0x8f, 0x0c, 0xb5, 0x28, 0xba, 0x9a, 0x21, 0xf6, 0x66}} ,
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{{{0xbd, 0xaa, 0x13, 0xe6, 0xcd, 0x45, 0x4a, 0xa4, 0x59, 0x0a, 0x64, 0xb1, 0x98, 0xd6, 0x34, 0x13, 0x04, 0xe6, 0x97, 0x94, 0x06, 0xcb, 0xd4, 0x4e, 0xbb, 0x96, 0xcd, 0xd1, 0x57, 0xd1, 0xe3, 0x06}} ,
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{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{0x4e, 0x3b, 0x69, 0xc8, 0x43, 0x75, 0x51, 0x6c, 0x79, 0x56, 0xe4, 0xcb, 0xf7, 0xa6, 0x51, 0xc2, 0x2c, 0x42, 0x0b, 0xd4, 0x82, 0x20, 0x1c, 0x01, 0x08, 0x66, 0xd7, 0xbf, 0x04, 0x56, 0xfc, 0x02}}},
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{{{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}} ,
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{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{{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}} ,
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{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
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{{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{{0x55, 0x60, 0x55, 0x5b, 0xe4, 0x1d, 0x71, 0x4c, 0x9d, 0x5b, 0x9f, 0x70, 0xa6, 0x85, 0x9a, 0x2c, 0xa0, 0xe2, 0x32, 0x48, 0xce, 0x9e, 0x2a, 0xa5, 0x07, 0x3b, 0xc7, 0x6c, 0x86, 0x77, 0xde, 0x3c}} ,
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{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
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{{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
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{{{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}} ,
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{{0x90, 0xd7, 0xc5, 0x26, 0x08, 0xbd, 0xb0, 0x53, 0x63, 0x58, 0xc3, 0x31, 0x5e, 0x75, 0x46, 0x15, 0x91, 0xa6, 0xf8, 0x2f, 0x1a, 0x08, 0x65, 0x88, 0x2f, 0x98, 0x04, 0xf1, 0x7c, 0x6e, 0x00, 0x77}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
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{{{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}} ,
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{{0x3f, 0x60, 0xc1, 0x82, 0x2d, 0xa3, 0x28, 0x58, 0x24, 0x9e, 0x9f, 0xe3, 0x70, 0xcc, 0x09, 0x4e, 0x1a, 0x3f, 0x11, 0x11, 0x15, 0x07, 0x3c, 0xa4, 0x41, 0xe0, 0x65, 0xa3, 0x0a, 0x41, 0x6d, 0x11}}},
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{{{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}} ,
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{{{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}} ,
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{{0x32, 0xb4, 0x18, 0x47, 0x79, 0xcb, 0xd4, 0x5a, 0x07, 0x14, 0x0f, 0xa0, 0xd5, 0xac, 0xd0, 0x41, 0x40, 0xab, 0x61, 0x23, 0xe5, 0x2a, 0x2a, 0x6f, 0xf7, 0xa8, 0xd4, 0x76, 0xef, 0xe7, 0x45, 0x6c}}},
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{{{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}} ,
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{{0x77, 0x38, 0xde, 0xd7, 0x60, 0x48, 0x07, 0xf0, 0x74, 0xa8, 0xff, 0x54, 0xe5, 0x30, 0x43, 0xff, 0x77, 0xfb, 0x21, 0x07, 0xff, 0xb2, 0x07, 0x6b, 0xe4, 0xe5, 0x30, 0xfc, 0x19, 0x6c, 0xa3, 0x01}}},
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{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
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{{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{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}}},
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{{{0xd4, 0xca, 0x70, 0x3d, 0xab, 0xfb, 0x5f, 0x5e, 0x00, 0x0c, 0xcc, 0x77, 0x22, 0xf8, 0x78, 0x55, 0xae, 0x62, 0x35, 0xfb, 0x9a, 0xc6, 0x03, 0xe4, 0x0c, 0xee, 0xab, 0xc7, 0xc0, 0x89, 0x87, 0x54}} ,
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{{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}}},
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{{{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}} ,
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{{0xd6, 0x1b, 0x9a, 0x6c, 0xe5, 0x46, 0xea, 0x70, 0x96, 0x8d, 0x4e, 0x2a, 0x52, 0x21, 0x26, 0x4b, 0xb1, 0xbb, 0x0f, 0x7c, 0xa9, 0x9b, 0x04, 0xbb, 0x51, 0x08, 0xf1, 0x9a, 0xa4, 0x76, 0x7c, 0x18}}},
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{0xb4, 0x48, 0x10, 0x9f, 0x8a, 0x09, 0x76, 0xfa, 0xf0, 0x7a, 0xb0, 0x70, 0xf7, 0x83, 0x80, 0x52, 0x84, 0x2b, 0x26, 0xa2, 0xc4, 0x5d, 0x4f, 0xba, 0xb1, 0xc8, 0x40, 0x0d, 0x78, 0x97, 0xc4, 0x60}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{{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}} ,
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{{{0xd0, 0xe9, 0xc0, 0xfa, 0x95, 0x45, 0x23, 0x96, 0xf1, 0x2c, 0x79, 0x25, 0x14, 0xce, 0x40, 0x14, 0x44, 0x2c, 0x36, 0x50, 0xd9, 0x63, 0x56, 0xb7, 0x56, 0x3b, 0x9e, 0xa7, 0xef, 0x89, 0xbb, 0x0e}} ,
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{{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}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{0xfe, 0x7a, 0x74, 0xcf, 0xd4, 0xd2, 0xe5, 0x19, 0xde, 0xd0, 0xdb, 0x70, 0x23, 0x69, 0xe6, 0x6d, 0xec, 0xec, 0xcc, 0x09, 0x33, 0x6a, 0x77, 0xdc, 0x6b, 0x22, 0x76, 0x5d, 0x92, 0x09, 0xac, 0x2d}}},
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{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
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{{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
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{{{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}} ,
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{{0x11, 0xce, 0xbf, 0xb6, 0x77, 0x2d, 0x48, 0x22, 0x18, 0x4f, 0xa3, 0x5d, 0x4a, 0xb0, 0x70, 0x12, 0x3e, 0x54, 0xd7, 0xd8, 0x0e, 0x2b, 0x27, 0xdc, 0x53, 0xff, 0xca, 0x8c, 0x59, 0xb3, 0x4e, 0x44}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{0x0d, 0x16, 0xac, 0x3c, 0x4a, 0x58, 0x86, 0x3a, 0x46, 0x7f, 0x6c, 0xa3, 0x52, 0x6e, 0x37, 0xe4, 0x96, 0x9c, 0xe9, 0x5c, 0x66, 0x41, 0x67, 0xe4, 0xfb, 0x79, 0x0c, 0x05, 0xf6, 0x64, 0xd5, 0x7c}}},
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{{{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}} ,
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{{0xf7, 0xd5, 0xe9, 0x74, 0x5d, 0xb8, 0x25, 0x16, 0xb5, 0x30, 0xbc, 0x84, 0xc5, 0xf0, 0xad, 0xca, 0x12, 0x28, 0xbc, 0x9d, 0xd4, 0xfa, 0x82, 0xe6, 0xe3, 0xbf, 0xa2, 0x15, 0x2c, 0xd4, 0x34, 0x10}}},
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{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
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{{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{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}}},
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{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
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{{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{0xa1, 0x4c, 0x70, 0x4b, 0x0e, 0xa0, 0x83, 0x70, 0x13, 0xa4, 0xaf, 0xb8, 0x38, 0x19, 0x22, 0x65, 0x09, 0xb4, 0x02, 0x4f, 0x06, 0xf8, 0x17, 0xce, 0x46, 0x45, 0xda, 0x50, 0x7c, 0x8a, 0xd1, 0x4e}}},
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{{{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}} ,
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{{0x26, 0xd9, 0x5e, 0xa3, 0x0f, 0xeb, 0xa2, 0xf3, 0x20, 0x3b, 0x37, 0xd4, 0xe4, 0x9e, 0xce, 0x06, 0x3d, 0x53, 0xed, 0xae, 0x2b, 0xeb, 0xb6, 0x24, 0x0a, 0x11, 0xa3, 0x0f, 0xd6, 0x7f, 0xa4, 0x3a}}},
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{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
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{{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{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}}},
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{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
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{{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
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{{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{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}}},
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{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
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{{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{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}}},
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{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
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{{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{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}}},
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{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
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{{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{0x17, 0xb4, 0xae, 0x72, 0x59, 0xd0, 0xaa, 0xa8, 0x16, 0x8b, 0x63, 0x11, 0xb3, 0x43, 0x04, 0xda, 0x0c, 0xa8, 0xb7, 0x68, 0xdd, 0x4e, 0x54, 0xe7, 0xaf, 0x5d, 0x5d, 0x05, 0x76, 0x36, 0xec, 0x0d}} ,
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{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}}},
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{{{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}} ,
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{{{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}} ,
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{{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}}}
|
|
};
|
|
|
|
static inline 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 inline void p1p1_to_p2_2(ge25519_p3 *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 inline void p1p1_to_p3(ge25519_p3 *r, const ge25519_p1p1 *p)
|
|
{
|
|
p1p1_to_p2_2(r, p);
|
|
fe25519_mul(&r->t, &p->x, &p->y);
|
|
}
|
|
|
|
static inline 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 inline 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 inline 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 inline 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 inline 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 (unsigned char)y;
|
|
}
|
|
|
|
static inline unsigned char negative(signed char b)
|
|
{
|
|
unsigned long long x = b; /* 18446744073709551361..18446744073709551615: yes; 0..255: no */
|
|
x >>= 63; /* 1: yes; 0: no */
|
|
return (unsigned char)x;
|
|
}
|
|
|
|
static inline 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 inline void setneutral(ge25519 *r)
|
|
{
|
|
fe25519_setzero(&r->x);
|
|
fe25519_setone(&r->y);
|
|
fe25519_setone(&r->z);
|
|
fe25519_setzero(&r->t);
|
|
}
|
|
|
|
/* return 0 on success, -1 otherwise */
|
|
static inline 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;
|
|
}
|
|
|
|
static inline 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;
|
|
}
|
|
|
|
/* computes [s1]p1 + [s2]p2 */
|
|
static inline 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];
|
|
char *pre5 = (char *)(&(pre[5])); // eliminate type punning warning
|
|
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 *)pre5); 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);
|
|
}
|
|
}
|
|
}
|
|
|
|
static inline 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);
|
|
}
|
|
}
|
|
|
|
static inline 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];
|
|
}
|
|
|
|
ZeroTier::SHA512(hram,playground,(unsigned int)smlen);
|
|
}
|
|
|
|
//////////////////////////////////////////////////////////////////////////////
|
|
//////////////////////////////////////////////////////////////////////////////
|
|
|
|
} // anonymous namespace
|
|
|
|
#ifdef ZT_USE_FAST_X64_ED25519
|
|
extern "C" void ed25519_amd64_asm_sign(const unsigned char *sk,const unsigned char *pk,const unsigned char *digest,unsigned char *sig);
|
|
#endif
|
|
|
|
namespace ZeroTier {
|
|
|
|
void C25519::agree(const C25519::Private &mine,const C25519::Public &their,void *keybuf,unsigned int keylen)
|
|
{
|
|
unsigned char rawkey[32];
|
|
unsigned char digest[64];
|
|
|
|
crypto_scalarmult(rawkey,mine.data,their.data);
|
|
SHA512(digest,rawkey,32);
|
|
for(unsigned int i=0,k=0;i<keylen;) {
|
|
if (k == 64) {
|
|
k = 0;
|
|
SHA512(digest,digest,64);
|
|
}
|
|
((unsigned char *)keybuf)[i++] = digest[k++];
|
|
}
|
|
}
|
|
|
|
void C25519::sign(const C25519::Private &myPrivate,const C25519::Public &myPublic,const void *msg,unsigned int len,void *signature)
|
|
{
|
|
unsigned char digest[64]; // we sign the first 32 bytes of SHA-512(msg)
|
|
SHA512(digest,msg,len);
|
|
|
|
#ifdef ZT_USE_FAST_X64_ED25519
|
|
ed25519_amd64_asm_sign(myPrivate.data + 32,myPublic.data + 32,digest,(unsigned char *)signature);
|
|
#else
|
|
sc25519 sck, scs, scsk;
|
|
ge25519 ger;
|
|
unsigned char r[32];
|
|
unsigned char s[32];
|
|
unsigned char extsk[64];
|
|
unsigned char hmg[crypto_hash_sha512_BYTES];
|
|
unsigned char hram[crypto_hash_sha512_BYTES];
|
|
unsigned char *sig = (unsigned char *)signature;
|
|
|
|
SHA512(extsk,myPrivate.data + 32,32);
|
|
extsk[0] &= 248;
|
|
extsk[31] &= 127;
|
|
extsk[31] |= 64;
|
|
|
|
for(unsigned int i=0;i<32;i++) {
|
|
sig[32 + i] = extsk[32 + i];
|
|
}
|
|
for(unsigned int i=0;i<32;i++) {
|
|
sig[64 + i] = digest[i];
|
|
}
|
|
|
|
SHA512(hmg,sig + 32,64);
|
|
|
|
/* Computation of R */
|
|
sc25519_from64bytes(&sck, hmg);
|
|
ge25519_scalarmult_base(&ger, &sck);
|
|
ge25519_pack(r, &ger);
|
|
|
|
/* Computation of s */
|
|
for(unsigned int i=0;i<32;i++) {
|
|
sig[i] = r[i];
|
|
}
|
|
|
|
get_hram(hram,sig,myPublic.data + 32,sig,96);
|
|
|
|
sc25519_from64bytes(&scs, hram);
|
|
sc25519_from32bytes(&scsk, extsk);
|
|
sc25519_mul(&scs, &scs, &scsk);
|
|
|
|
sc25519_add(&scs, &scs, &sck);
|
|
|
|
sc25519_to32bytes(s,&scs); /* cat s */
|
|
for(unsigned int i=0;i<32;i++) {
|
|
sig[32 + i] = s[i];
|
|
}
|
|
#endif
|
|
}
|
|
|
|
bool C25519::verify(const C25519::Public &their,const void *msg,unsigned int len,const void *signature)
|
|
{
|
|
const unsigned char *const sig = (const unsigned char *)signature;
|
|
unsigned char digest[64]; // we sign the first 32 bytes of SHA-512(msg)
|
|
SHA512(digest,msg,len);
|
|
if (!Utils::secureEq(sig + 64,digest,32)) {
|
|
return false;
|
|
}
|
|
|
|
unsigned char t2[32];
|
|
ge25519 get1, get2;
|
|
sc25519 schram, scs;
|
|
unsigned char hram[crypto_hash_sha512_BYTES];
|
|
unsigned char m[96];
|
|
|
|
if (ge25519_unpackneg_vartime(&get1,their.data + 32)) {
|
|
return false;
|
|
}
|
|
|
|
get_hram(hram,sig,their.data + 32,m,96);
|
|
|
|
sc25519_from64bytes(&schram, hram);
|
|
|
|
sc25519_from32bytes(&scs, sig+32);
|
|
|
|
ge25519_double_scalarmult_vartime(&get2, &get1, &schram, &ge25519_base, &scs);
|
|
ge25519_pack(t2, &get2);
|
|
|
|
return Utils::secureEq(sig,t2,32);
|
|
}
|
|
|
|
void C25519::_calcPubDH(C25519::Pair &kp)
|
|
{
|
|
// First 32 bytes of pub and priv are the keys for ECDH key
|
|
// agreement. This generates the public portion from the private.
|
|
crypto_scalarmult_base(kp.pub.data,kp.priv.data);
|
|
}
|
|
|
|
void C25519::_calcPubED(C25519::Pair &kp)
|
|
{
|
|
unsigned char extsk[64];
|
|
sc25519 scsk;
|
|
ge25519 gepk;
|
|
|
|
// Second 32 bytes of pub and priv are the keys for ed25519
|
|
// signing and verification.
|
|
SHA512(extsk,kp.priv.data + 32,32);
|
|
extsk[0] &= 248;
|
|
extsk[31] &= 127;
|
|
extsk[31] |= 64;
|
|
sc25519_from32bytes(&scsk,extsk);
|
|
ge25519_scalarmult_base(&gepk,&scsk);
|
|
ge25519_pack(kp.pub.data + 32,&gepk);
|
|
// In NaCl, the public key is crammed into the next 32 bytes
|
|
// of the private key for signing since both keys are required
|
|
// to sign. In this version we just get it from kp.pub, so we
|
|
// leave that out of private.
|
|
}
|
|
|
|
} // namespace ZeroTier
|