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oxen-core/src/ringct/rctTypes.h

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// Copyright (c) 2016, Monero Research Labs
//
// Author: Shen Noether <shen.noether@gmx.com>
//
// All rights reserved.
//
// Redistribution and use in source and binary forms, with or without modification, are
// permitted provided that the following conditions are met:
//
// 1. Redistributions of source code must retain the above copyright notice, this list of
// conditions and the following disclaimer.
//
// 2. Redistributions in binary form must reproduce the above copyright notice, this list
// of conditions and the following disclaimer in the documentation and/or other
// materials provided with the distribution.
//
// 3. Neither the name of the copyright holder nor the names of its contributors may be
// used to endorse or promote products derived from this software without specific
// prior written permission.
//
// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY
// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
// MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL
// THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
// INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
// STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF
// THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
#pragma once
#include <cstddef>
#include <vector>
#include <cstdint>
#include <sodium/crypto_verify_32.h>
extern "C" {
#include "crypto/crypto-ops.h"
#include "crypto/random.h"
#include "crypto/keccak.h"
}
#include "crypto/crypto.h"
#include "common/hex.h"
#include "serialization/variant.h"
#include "common/util.h"
//Define this flag when debugging to get additional info on the console
#ifdef DBG
#define DP(x) dp(x)
#else
#define DP(x)
#endif
//atomic units of moneros
#define ATOMS 64
//for printing large ints
//Namespace specifically for ring ct code
namespace rct {
using namespace std::literals;
//basic ops containers
typedef unsigned char * Bytes;
// Can contain a secret or public key
// similar to secret_key / public_key of crypto-ops,
// but uses unsigned chars,
// also includes an operator for accessing the i'th byte.
struct key {
unsigned char & operator[](int i) {
return bytes[i];
}
unsigned char operator[](int i) const {
return bytes[i];
}
bool operator==(const key& k) const { return !crypto_verify_32(bytes, k.bytes); }
bool operator!=(const key& k) const { return !operator==(k); }
unsigned char bytes[32];
};
typedef std::vector<key> keyV; //vector of keys
typedef std::vector<keyV> keyM; //matrix of keys (indexed by column first)
//containers For CT operations
//if it's representing a private ctkey then "dest" contains the secret key of the address
// while "mask" contains a where C = aG + bH is CT pedersen commitment and b is the amount
// (store b, the amount, separately
//if it's representing a public ctkey, then "dest" = P the address, mask = C the commitment
struct ctkey {
key dest;
key mask; //C here if public
};
typedef std::vector<ctkey> ctkeyV;
typedef std::vector<ctkeyV> ctkeyM;
//used for multisig data
struct multisig_kLRki {
key k;
key L;
key R;
key ki;
~multisig_kLRki() { memwipe(&k, sizeof(k)); }
};
struct multisig_out {
std::vector<key> c; // for all inputs
std::vector<key> mu_p; // for all inputs
std::vector<key> c0; // for all inputs
BEGIN_SERIALIZE_OBJECT()
FIELD(c)
FIELD(mu_p)
if (!mu_p.empty() && mu_p.size() != c.size())
throw std::runtime_error{"Invalid multisig output serialization"};
END_SERIALIZE()
};
//data for passing the amount to the receiver secretly
// If the pedersen commitment to an amount is C = aG + bH,
// "mask" contains a 32 byte key a
// "amount" contains a hex representation (in 32 bytes) of a 64 bit number
// the purpose of the ECDH exchange
struct ecdhTuple {
key mask;
key amount;
BEGIN_SERIALIZE_OBJECT()
FIELD(mask) // not saved from v2 BPs
FIELD(amount)
END_SERIALIZE()
};
//containers for representing amounts
using xmr_amount = uint64_t;
using bits = unsigned int[ATOMS];
using key64 = key[64];
struct boroSig {
key64 s0;
key64 s1;
key ee;
};
//Container for precomp
struct geDsmp {
ge_dsmp k;
};
//just contains the necessary keys to represent MLSAG sigs
//c.f. https://eprint.iacr.org/2015/1098
struct mgSig {
keyM ss;
key cc;
keyV II;
BEGIN_SERIALIZE_OBJECT()
FIELD(ss)
FIELD(cc)
// FIELD(II) - not serialized, it can be reconstructed
END_SERIALIZE()
};
// CLSAG signature
struct clsag {
keyV s; // scalars
key c1;
key I; // signing key image
key D; // commitment key image
BEGIN_SERIALIZE_OBJECT()
FIELD(s)
FIELD(c1)
// FIELD(I) - not serialized, it can be reconstructed
FIELD(D)
END_SERIALIZE()
};
//contains the data for an Borromean sig
// also contains the "Ci" values such that
// \sum Ci = C
// and the signature proves that each Ci is either
// a Pedersen commitment to 0 or to 2^i
//thus proving that C is in the range of [0, 2^64]
struct rangeSig {
boroSig asig;
key64 Ci;
BEGIN_SERIALIZE_OBJECT()
FIELD(asig)
FIELD(Ci)
END_SERIALIZE()
};
struct Bulletproof
{
rct::keyV V;
rct::key A, S, T1, T2;
rct::key taux, mu;
rct::keyV L, R;
rct::key a, b, t;
Bulletproof():
A({}), S({}), T1({}), T2({}), taux({}), mu({}), a({}), b({}), t({}) {}
Bulletproof(const rct::key &V, const rct::key &A, const rct::key &S, const rct::key &T1, const rct::key &T2, const rct::key &taux, const rct::key &mu, const rct::keyV &L, const rct::keyV &R, const rct::key &a, const rct::key &b, const rct::key &t):
V({V}), A(A), S(S), T1(T1), T2(T2), taux(taux), mu(mu), L(L), R(R), a(a), b(b), t(t) {}
Bulletproof(const rct::keyV &V, const rct::key &A, const rct::key &S, const rct::key &T1, const rct::key &T2, const rct::key &taux, const rct::key &mu, const rct::keyV &L, const rct::keyV &R, const rct::key &a, const rct::key &b, const rct::key &t):
V(V), A(A), S(S), T1(T1), T2(T2), taux(taux), mu(mu), L(L), R(R), a(a), b(b), t(t) {}
bool operator==(const Bulletproof &other) const { return V == other.V && A == other.A && S == other.S && T1 == other.T1 && T2 == other.T2 && taux == other.taux && mu == other.mu && L == other.L && R == other.R && a == other.a && b == other.b && t == other.t; }
BEGIN_SERIALIZE_OBJECT()
// Commitments aren't saved, they're restored via outPk
// FIELD(V)
FIELD(A)
FIELD(S)
FIELD(T1)
FIELD(T2)
FIELD(taux)
FIELD(mu)
FIELD(L)
FIELD(R)
FIELD(a)
FIELD(b)
FIELD(t)
if (L.empty() || L.size() != R.size())
throw std::runtime_error("Bad bulletproof serialization");
END_SERIALIZE()
};
size_t n_bulletproof_amounts(const Bulletproof &proof);
size_t n_bulletproof_max_amounts(const Bulletproof &proof);
size_t n_bulletproof_amounts(const std::vector<Bulletproof> &proofs);
size_t n_bulletproof_max_amounts(const std::vector<Bulletproof> &proofs);
template <typename Archive, typename T>
auto start_array(Archive& ar, std::string_view tag, std::vector<T>& v, size_t size) {
ar.tag(tag);
if (Archive::is_deserializer)
v.resize(size);
else if (v.size() != size)
throw std::invalid_argument{"invalid " + std::string{tag} + " size: " + std::to_string(size) + " (given size) != " + std::to_string(v.size()) + " (# elements)"};
return ar.begin_array();
}
//A container to hold all signatures necessary for RingCT
// rangeSigs holds all the rangeproof data of a transaction
// MG holds the MLSAG signature of a transaction
// mixRing holds all the public keypairs (P, C) for a transaction
// ecdhInfo holds an encoded mask / amount to be passed to each receiver
// outPk contains public keypairs which are destinations (P, C),
// P = address, C = commitment to amount
enum class RCTType : uint8_t {
Null = 0,
Full = 1,
Simple = 2,
Bulletproof = 3,
Bulletproof2 = 4,
CLSAG = 5,
};
inline bool is_rct_simple(RCTType type) { return tools::equals_any(type, RCTType::Simple, RCTType::Bulletproof, RCTType::Bulletproof2, RCTType::CLSAG); }
inline bool is_rct_bulletproof(RCTType type) { return tools::equals_any(type, RCTType::Bulletproof, RCTType::Bulletproof2, RCTType::CLSAG); }
inline bool is_rct_borromean(RCTType type) { return tools::equals_any(type, RCTType::Simple, RCTType::Full); }
enum class RangeProofType : uint8_t { Borromean = 0, Bulletproof = 1, MultiOutputBulletproof = 2, PaddedBulletproof = 3 };
struct RCTConfig {
RangeProofType range_proof_type;
int bp_version;
};
struct rctSigBase {
RCTType type;
key message;
ctkeyM mixRing; //the set of all pubkeys / copy
//pairs that you mix with
keyV pseudoOuts; //C - for simple rct
std::vector<ecdhTuple> ecdhInfo;
ctkeyV outPk;
xmr_amount txnFee; // contains b
template <typename Archive>
void serialize_rctsig_base(Archive &ar, size_t inputs, size_t outputs)
{
field_varint(ar, "type", type, [](const RCTType& x) { return x <= RCTType::CLSAG; });
if (type == RCTType::Null)
return;
if (!tools::equals_any(type, RCTType::Full, RCTType::Simple, RCTType::Bulletproof, RCTType::Bulletproof2, RCTType::CLSAG))
throw std::invalid_argument{"invalid ringct type"};
field_varint(ar, "txnFee", txnFee);
// inputs/outputs not saved, only here for serialization help
// FIELD(message) - not serialized, it can be reconstructed
// FIELD(mixRing) - not serialized, it can be reconstructed
if (type == RCTType::Simple) // moved to prunable with bulletproofs
{
auto arr = start_array(ar, "pseudoOuts", pseudoOuts, inputs);
for (auto& e : pseudoOuts)
value(arr.element(), e);
}
{
auto arr = start_array(ar, "ecdhInfo", ecdhInfo, outputs);
if (tools::equals_any(type, RCTType::Bulletproof2, RCTType::CLSAG))
{
for (auto& e : ecdhInfo) {
auto obj = arr.element().begin_object();
if (Archive::is_deserializer)
memset(e.amount.bytes, 0, sizeof(e.amount.bytes));
field(ar, "amount", reinterpret_cast<crypto::hash8&>(e.amount));
}
} else {
for (auto& e : ecdhInfo)
value(arr.element(), e);
}
}
{
auto arr = start_array(ar, "outPk", outPk, outputs);
for (auto& e : outPk)
value(arr.element(), e.mask);
}
}
};
struct rctSigPrunable {
std::vector<rangeSig> rangeSigs;
std::vector<Bulletproof> bulletproofs;
std::vector<mgSig> MGs; // simple rct has N, full has 1
std::vector<clsag> CLSAGs;
keyV pseudoOuts; //C - for simple rct
// when changing this function, update cryptonote::get_pruned_transaction_weight
template<typename Archive>
void serialize_rctsig_prunable(Archive &ar, RCTType type, size_t inputs, size_t outputs, size_t mixin)
{
if (type == RCTType::Null)
return;
if (!tools::equals_any(type, RCTType::Full, RCTType::Simple, RCTType::Bulletproof, RCTType::Bulletproof2, RCTType::CLSAG))
throw std::invalid_argument{"invalid ringct type"};
if (rct::is_rct_bulletproof(type))
{
uint32_t nbp = bulletproofs.size();
if (tools::equals_any(type, RCTType::Bulletproof2, RCTType::CLSAG))
field_varint(ar, "nbp", nbp);
else
field(ar, "nbp", nbp);
if (nbp > outputs)
throw std::invalid_argument{"too many bulletproofs"};
auto arr = start_array(ar, "bp", bulletproofs, nbp);
for (auto& b : bulletproofs)
value(arr.element(), b);
if (auto n_max = n_bulletproof_max_amounts(bulletproofs); n_max < outputs)
throw std::invalid_argument{"invalid bulletproofs: n_max (" + std::to_string(n_max) + ") < outputs (" + std::to_string(outputs) + ")"};
}
else
{
auto arr = start_array(ar, "rangeSigs", rangeSigs, outputs);
for (auto& s : rangeSigs)
value(arr.element(), s);
}
if (type == RCTType::CLSAG)
{
auto arr = start_array(ar, "CLSAGs", CLSAGs, inputs);
for (auto& clsag : CLSAGs)
{
// we save the CLSAGs contents directly, because we want it to save its
// arrays without the size prefixes, and the load can't know what size
// to expect if it's not in the data
auto obj = arr.element().begin_object();
{
auto arr_s = start_array(ar, "s", clsag.s, mixin + 1);
for (auto& x : clsag.s)
value(arr_s.element(), x);
}
field(ar, "c1", clsag.c1);
field(ar, "D", clsag.D);
}
}
else
{
// we keep a byte for size of MGs, because we don't know whether this is
// a simple or full rct signature, and it's starting to annoy the hell out of me
size_t mg_elements = 1, mg_ss2_elements = inputs + 1;
if (tools::equals_any(type, RCTType::Simple, RCTType::Bulletproof, RCTType::Bulletproof2)) {
mg_elements = inputs;
mg_ss2_elements = 2;
}
{
auto arr = start_array(ar, "MGs", MGs, mg_elements);
for (auto& mg : MGs)
{
auto obj = arr.element().begin_object();
// we save the MGs contents directly, because we want it to save its
// arrays and matrices without the size prefixes, and the load can't
// know what size to expect if it's not in the data
{
auto arr_ss = start_array(ar, "ss", mg.ss, mixin + 1);
for (auto& ss : mg.ss)
{
auto arr_ss2 = arr_ss.element().begin_array();
if constexpr (Archive::is_deserializer)
ss.resize(mg_ss2_elements);
else if (ss.size() != mg_ss2_elements)
throw std::invalid_argument{"invalid mg_ss2 size: have " + std::to_string(ss.size()) + ", expected " + std::to_string(mg_ss2_elements)};
for (auto& x : ss)
value(arr_ss2.element(), x);
}
}
field(ar, "cc", mg.cc);
// MGs[i].II not saved, it can be reconstructed
}
}
}
if (tools::equals_any(type, RCTType::Bulletproof, RCTType::Bulletproof2, RCTType::CLSAG))
{
auto arr = start_array(ar, "pseudoOuts", pseudoOuts, inputs);
for (auto& o : pseudoOuts)
value(arr.element(), o);
}
}
};
struct rctSig: public rctSigBase {
rctSigPrunable p;
keyV& get_pseudo_outs()
{
return rct::is_rct_bulletproof(type) ? p.pseudoOuts : pseudoOuts;
}
keyV const& get_pseudo_outs() const
{
return rct::is_rct_bulletproof(type) ? p.pseudoOuts : pseudoOuts;
}
};
//other basepoint H = toPoint(cn_fast_hash(G)), G the basepoint
constexpr key H = { {0x8b, 0x65, 0x59, 0x70, 0x15, 0x37, 0x99, 0xaf, 0x2a, 0xea, 0xdc, 0x9f, 0xf1, 0xad, 0xd0, 0xea, 0x6c, 0x72, 0x51, 0xd5, 0x41, 0x54, 0xcf, 0xa9, 0x2c, 0x17, 0x3a, 0x0d, 0xd3, 0x9c, 0x1f, 0x94} };
//H2 contains 2^i H in each index, i.e. H, 2H, 4H, 8H, ...
//This is used for the range proofG
//You can regenerate this by running python2 Test.py HPow2 in the MiniNero repo
constexpr key64 H2 = {
{{0x8b, 0x65, 0x59, 0x70, 0x15, 0x37, 0x99, 0xaf, 0x2a, 0xea, 0xdc, 0x9f, 0xf1, 0xad, 0xd0, 0xea, 0x6c, 0x72, 0x51, 0xd5, 0x41, 0x54, 0xcf, 0xa9, 0x2c, 0x17, 0x3a, 0x0d, 0xd3, 0x9c, 0x1f, 0x94}},
{{0x8f, 0xaa, 0x44, 0x8a, 0xe4, 0xb3, 0xe2, 0xbb, 0x3d, 0x4d, 0x13, 0x09, 0x09, 0xf5, 0x5f, 0xcd, 0x79, 0x71, 0x1c, 0x1c, 0x83, 0xcd, 0xbc, 0xca, 0xdd, 0x42, 0xcb, 0xe1, 0x51, 0x5e, 0x87, 0x12}},
{{0x12, 0xa7, 0xd6, 0x2c, 0x77, 0x91, 0x65, 0x4a, 0x57, 0xf3, 0xe6, 0x76, 0x94, 0xed, 0x50, 0xb4, 0x9a, 0x7d, 0x9e, 0x3f, 0xc1, 0xe4, 0xc7, 0xa0, 0xbd, 0xe2, 0x9d, 0x18, 0x7e, 0x9c, 0xc7, 0x1d}},
{{0x78, 0x9a, 0xb9, 0x93, 0x4b, 0x49, 0xc4, 0xf9, 0xe6, 0x78, 0x5c, 0x6d, 0x57, 0xa4, 0x98, 0xb3, 0xea, 0xd4, 0x43, 0xf0, 0x4f, 0x13, 0xdf, 0x11, 0x0c, 0x54, 0x27, 0xb4, 0xf2, 0x14, 0xc7, 0x39}},
{{0x77, 0x1e, 0x92, 0x99, 0xd9, 0x4f, 0x02, 0xac, 0x72, 0xe3, 0x8e, 0x44, 0xde, 0x56, 0x8a, 0xc1, 0xdc, 0xb2, 0xed, 0xc6, 0xed, 0xb6, 0x1f, 0x83, 0xca, 0x41, 0x8e, 0x10, 0x77, 0xce, 0x3d, 0xe8}},
{{0x73, 0xb9, 0x6d, 0xb4, 0x30, 0x39, 0x81, 0x9b, 0xda, 0xf5, 0x68, 0x0e, 0x5c, 0x32, 0xd7, 0x41, 0x48, 0x88, 0x84, 0xd1, 0x8d, 0x93, 0x86, 0x6d, 0x40, 0x74, 0xa8, 0x49, 0x18, 0x2a, 0x8a, 0x64}},
{{0x8d, 0x45, 0x8e, 0x1c, 0x2f, 0x68, 0xeb, 0xeb, 0xcc, 0xd2, 0xfd, 0x5d, 0x37, 0x9f, 0x5e, 0x58, 0xf8, 0x13, 0x4d, 0xf3, 0xe0, 0xe8, 0x8c, 0xad, 0x3d, 0x46, 0x70, 0x10, 0x63, 0xa8, 0xd4, 0x12}},
{{0x09, 0x55, 0x1e, 0xdb, 0xe4, 0x94, 0x41, 0x8e, 0x81, 0x28, 0x44, 0x55, 0xd6, 0x4b, 0x35, 0xee, 0x8a, 0xc0, 0x93, 0x06, 0x8a, 0x5f, 0x16, 0x1f, 0xa6, 0x63, 0x75, 0x59, 0x17, 0x7e, 0xf4, 0x04}},
{{0xd0, 0x5a, 0x88, 0x66, 0xf4, 0xdf, 0x8c, 0xee, 0x1e, 0x26, 0x8b, 0x1d, 0x23, 0xa4, 0xc5, 0x8c, 0x92, 0xe7, 0x60, 0x30, 0x97, 0x86, 0xcd, 0xac, 0x0f, 0xed, 0xa1, 0xd2, 0x47, 0xa9, 0xc9, 0xa7}},
{{0x55, 0xcd, 0xaa, 0xd5, 0x18, 0xbd, 0x87, 0x1d, 0xd1, 0xeb, 0x7b, 0xc7, 0x02, 0x3e, 0x1d, 0xc0, 0xfd, 0xf3, 0x33, 0x98, 0x64, 0xf8, 0x8f, 0xdd, 0x2d, 0xe2, 0x69, 0xfe, 0x9e, 0xe1, 0x83, 0x2d}},
{{0xe7, 0x69, 0x7e, 0x95, 0x1a, 0x98, 0xcf, 0xd5, 0x71, 0x2b, 0x84, 0xbb, 0xe5, 0xf3, 0x4e, 0xd7, 0x33, 0xe9, 0x47, 0x3f, 0xcb, 0x68, 0xed, 0xa6, 0x6e, 0x37, 0x88, 0xdf, 0x19, 0x58, 0xc3, 0x06}},
{{0xf9, 0x2a, 0x97, 0x0b, 0xae, 0x72, 0x78, 0x29, 0x89, 0xbf, 0xc8, 0x3a, 0xdf, 0xaa, 0x92, 0xa4, 0xf4, 0x9c, 0x7e, 0x95, 0x91, 0x8b, 0x3b, 0xba, 0x3c, 0xdc, 0x7f, 0xe8, 0x8a, 0xcc, 0x8d, 0x47}},
{{0x1f, 0x66, 0xc2, 0xd4, 0x91, 0xd7, 0x5a, 0xf9, 0x15, 0xc8, 0xdb, 0x6a, 0x6d, 0x1c, 0xb0, 0xcd, 0x4f, 0x7d, 0xdc, 0xd5, 0xe6, 0x3d, 0x3b, 0xa9, 0xb8, 0x3c, 0x86, 0x6c, 0x39, 0xef, 0x3a, 0x2b}},
{{0x3e, 0xec, 0x98, 0x84, 0xb4, 0x3f, 0x58, 0xe9, 0x3e, 0xf8, 0xde, 0xea, 0x26, 0x00, 0x04, 0xef, 0xea, 0x2a, 0x46, 0x34, 0x4f, 0xc5, 0x96, 0x5b, 0x1a, 0x7d, 0xd5, 0xd1, 0x89, 0x97, 0xef, 0xa7}},
{{0xb2, 0x9f, 0x8f, 0x0c, 0xcb, 0x96, 0x97, 0x7f, 0xe7, 0x77, 0xd4, 0x89, 0xd6, 0xbe, 0x9e, 0x7e, 0xbc, 0x19, 0xc4, 0x09, 0xb5, 0x10, 0x35, 0x68, 0xf2, 0x77, 0x61, 0x1d, 0x7e, 0xa8, 0x48, 0x94}},
{{0x56, 0xb1, 0xf5, 0x12, 0x65, 0xb9, 0x55, 0x98, 0x76, 0xd5, 0x8d, 0x24, 0x9d, 0x0c, 0x14, 0x6d, 0x69, 0xa1, 0x03, 0x63, 0x66, 0x99, 0x87, 0x4d, 0x3f, 0x90, 0x47, 0x35, 0x50, 0xfe, 0x3f, 0x2c}},
{{0x1d, 0x7a, 0x36, 0x57, 0x5e, 0x22, 0xf5, 0xd1, 0x39, 0xff, 0x9c, 0xc5, 0x10, 0xfa, 0x13, 0x85, 0x05, 0x57, 0x6b, 0x63, 0x81, 0x5a, 0x94, 0xe4, 0xb0, 0x12, 0xbf, 0xd4, 0x57, 0xca, 0xaa, 0xda}},
{{0xd0, 0xac, 0x50, 0x7a, 0x86, 0x4e, 0xcd, 0x05, 0x93, 0xfa, 0x67, 0xbe, 0x7d, 0x23, 0x13, 0x43, 0x92, 0xd0, 0x0e, 0x40, 0x07, 0xe2, 0x53, 0x48, 0x78, 0xd9, 0xb2, 0x42, 0xe1, 0x0d, 0x76, 0x20}},
{{0xf6, 0xc6, 0x84, 0x0b, 0x9c, 0xf1, 0x45, 0xbb, 0x2d, 0xcc, 0xf8, 0x6e, 0x94, 0x0b, 0xe0, 0xfc, 0x09, 0x8e, 0x32, 0xe3, 0x10, 0x99, 0xd5, 0x6f, 0x7f, 0xe0, 0x87, 0xbd, 0x5d, 0xeb, 0x50, 0x94}},
{{0x28, 0x83, 0x1a, 0x33, 0x40, 0x07, 0x0e, 0xb1, 0xdb, 0x87, 0xc1, 0x2e, 0x05, 0x98, 0x0d, 0x5f, 0x33, 0xe9, 0xef, 0x90, 0xf8, 0x3a, 0x48, 0x17, 0xc9, 0xf4, 0xa0, 0xa3, 0x32, 0x27, 0xe1, 0x97}},
{{0x87, 0x63, 0x22, 0x73, 0xd6, 0x29, 0xcc, 0xb7, 0xe1, 0xed, 0x1a, 0x76, 0x8f, 0xa2, 0xeb, 0xd5, 0x17, 0x60, 0xf3, 0x2e, 0x1c, 0x0b, 0x86, 0x7a, 0x5d, 0x36, 0x8d, 0x52, 0x71, 0x05, 0x5c, 0x6e}},
{{0x5c, 0x7b, 0x29, 0x42, 0x43, 0x47, 0x96, 0x4d, 0x04, 0x27, 0x55, 0x17, 0xc5, 0xae, 0x14, 0xb6, 0xb5, 0xea, 0x27, 0x98, 0xb5, 0x73, 0xfc, 0x94, 0xe6, 0xe4, 0x4a, 0x53, 0x21, 0x60, 0x0c, 0xfb}},
{{0xe6, 0x94, 0x50, 0x42, 0xd7, 0x8b, 0xc2, 0xc3, 0xbd, 0x6e, 0xc5, 0x8c, 0x51, 0x1a, 0x9f, 0xe8, 0x59, 0xc0, 0xad, 0x63, 0xfd, 0xe4, 0x94, 0xf5, 0x03, 0x9e, 0x0e, 0x82, 0x32, 0x61, 0x2b, 0xd5}},
{{0x36, 0xd5, 0x69, 0x07, 0xe2, 0xec, 0x74, 0x5d, 0xb6, 0xe5, 0x4f, 0x0b, 0x2e, 0x1b, 0x23, 0x00, 0xab, 0xcb, 0x42, 0x2e, 0x71, 0x2d, 0xa5, 0x88, 0xa4, 0x0d, 0x3f, 0x1e, 0xbb, 0xbe, 0x02, 0xf6}},
{{0x34, 0xdb, 0x6e, 0xe4, 0xd0, 0x60, 0x8e, 0x5f, 0x78, 0x36, 0x50, 0x49, 0x5a, 0x3b, 0x2f, 0x52, 0x73, 0xc5, 0x13, 0x4e, 0x52, 0x84, 0xe4, 0xfd, 0xf9, 0x66, 0x27, 0xbb, 0x16, 0xe3, 0x1e, 0x6b}},
{{0x8e, 0x76, 0x59, 0xfb, 0x45, 0xa3, 0x78, 0x7d, 0x67, 0x4a, 0xe8, 0x67, 0x31, 0xfa, 0xa2, 0x53, 0x8e, 0xc0, 0xfd, 0xf4, 0x42, 0xab, 0x26, 0xe9, 0xc7, 0x91, 0xfa, 0xda, 0x08, 0x94, 0x67, 0xe9}},
{{0x30, 0x06, 0xcf, 0x19, 0x8b, 0x24, 0xf3, 0x1b, 0xb4, 0xc7, 0xe6, 0x34, 0x60, 0x00, 0xab, 0xc7, 0x01, 0xe8, 0x27, 0xcf, 0xbb, 0x5d, 0xf5, 0x2d, 0xcf, 0xa4, 0x2e, 0x9c, 0xa9, 0xff, 0x08, 0x02}},
{{0xf5, 0xfd, 0x40, 0x3c, 0xb6, 0xe8, 0xbe, 0x21, 0x47, 0x2e, 0x37, 0x7f, 0xfd, 0x80, 0x5a, 0x8c, 0x60, 0x83, 0xea, 0x48, 0x03, 0xb8, 0x48, 0x53, 0x89, 0xcc, 0x3e, 0xbc, 0x21, 0x5f, 0x00, 0x2a}},
{{0x37, 0x31, 0xb2, 0x60, 0xeb, 0x3f, 0x94, 0x82, 0xe4, 0x5f, 0x1c, 0x3f, 0x3b, 0x9d, 0xcf, 0x83, 0x4b, 0x75, 0xe6, 0xee, 0xf8, 0xc4, 0x0f, 0x46, 0x1e, 0xa2, 0x7e, 0x8b, 0x6e, 0xd9, 0x47, 0x3d}},
{{0x9f, 0x9d, 0xab, 0x09, 0xc3, 0xf5, 0xe4, 0x28, 0x55, 0xc2, 0xde, 0x97, 0x1b, 0x65, 0x93, 0x28, 0xa2, 0xdb, 0xc4, 0x54, 0x84, 0x5f, 0x39, 0x6f, 0xfc, 0x05, 0x3f, 0x0b, 0xb1, 0x92, 0xf8, 0xc3}},
{{0x5e, 0x05, 0x5d, 0x25, 0xf8, 0x5f, 0xdb, 0x98, 0xf2, 0x73, 0xe4, 0xaf, 0xe0, 0x84, 0x64, 0xc0, 0x03, 0xb7, 0x0f, 0x1e, 0xf0, 0x67, 0x7b, 0xb5, 0xe2, 0x57, 0x06, 0x40, 0x0b, 0xe6, 0x20, 0xa5}},
{{0x86, 0x8b, 0xcf, 0x36, 0x79, 0xcb, 0x6b, 0x50, 0x0b, 0x94, 0x41, 0x8c, 0x0b, 0x89, 0x25, 0xf9, 0x86, 0x55, 0x30, 0x30, 0x3a, 0xe4, 0xe4, 0xb2, 0x62, 0x59, 0x18, 0x65, 0x66, 0x6a, 0x45, 0x90}},
{{0xb3, 0xdb, 0x6b, 0xd3, 0x89, 0x7a, 0xfb, 0xd1, 0xdf, 0x3f, 0x96, 0x44, 0xab, 0x21, 0xc8, 0x05, 0x0e, 0x1f, 0x00, 0x38, 0xa5, 0x2f, 0x7c, 0xa9, 0x5a, 0xc0, 0xc3, 0xde, 0x75, 0x58, 0xcb, 0x7a}},
{{0x81, 0x19, 0xb3, 0xa0, 0x59, 0xff, 0x2c, 0xac, 0x48, 0x3e, 0x69, 0xbc, 0xd4, 0x1d, 0x6d, 0x27, 0x14, 0x94, 0x47, 0x91, 0x42, 0x88, 0xbb, 0xea, 0xee, 0x34, 0x13, 0xe6, 0xdc, 0xc6, 0xd1, 0xeb}},
{{0x10, 0xfc, 0x58, 0xf3, 0x5f, 0xc7, 0xfe, 0x7a, 0xe8, 0x75, 0x52, 0x4b, 0xb5, 0x85, 0x00, 0x03, 0x00, 0x5b, 0x7f, 0x97, 0x8c, 0x0c, 0x65, 0xe2, 0xa9, 0x65, 0x46, 0x4b, 0x6d, 0x00, 0x81, 0x9c}},
{{0x5a, 0xcd, 0x94, 0xeb, 0x3c, 0x57, 0x83, 0x79, 0xc1, 0xea, 0x58, 0xa3, 0x43, 0xec, 0x4f, 0xcf, 0xf9, 0x62, 0x77, 0x6f, 0xe3, 0x55, 0x21, 0xe4, 0x75, 0xa0, 0xe0, 0x6d, 0x88, 0x7b, 0x2d, 0xb9}},
{{0x33, 0xda, 0xf3, 0xa2, 0x14, 0xd6, 0xe0, 0xd4, 0x2d, 0x23, 0x00, 0xa7, 0xb4, 0x4b, 0x39, 0x29, 0x0d, 0xb8, 0x98, 0x9b, 0x42, 0x79, 0x74, 0xcd, 0x86, 0x5d, 0xb0, 0x11, 0x05, 0x5a, 0x29, 0x01}},
{{0xcf, 0xc6, 0x57, 0x2f, 0x29, 0xaf, 0xd1, 0x64, 0xa4, 0x94, 0xe6, 0x4e, 0x6f, 0x1a, 0xeb, 0x82, 0x0c, 0x3e, 0x7d, 0xa3, 0x55, 0x14, 0x4e, 0x51, 0x24, 0xa3, 0x91, 0xd0, 0x6e, 0x9f, 0x95, 0xea}},
{{0xd5, 0x31, 0x2a, 0x4b, 0x0e, 0xf6, 0x15, 0xa3, 0x31, 0xf6, 0x35, 0x2c, 0x2e, 0xd2, 0x1d, 0xac, 0x9e, 0x7c, 0x36, 0x39, 0x8b, 0x93, 0x9a, 0xec, 0x90, 0x1c, 0x25, 0x7f, 0x6c, 0xbc, 0x9e, 0x8e}},
{{0x55, 0x1d, 0x67, 0xfe, 0xfc, 0x7b, 0x5b, 0x9f, 0x9f, 0xdb, 0xf6, 0xaf, 0x57, 0xc9, 0x6c, 0x8a, 0x74, 0xd7, 0xe4, 0x5a, 0x00, 0x20, 0x78, 0xa7, 0xb5, 0xba, 0x45, 0xc6, 0xfd, 0xe9, 0x3e, 0x33}},
{{0xd5, 0x0a, 0xc7, 0xbd, 0x5c, 0xa5, 0x93, 0xc6, 0x56, 0x92, 0x8f, 0x38, 0x42, 0x80, 0x17, 0xfc, 0x7b, 0xa5, 0x02, 0x85, 0x4c, 0x43, 0xd8, 0x41, 0x49, 0x50, 0xe9, 0x6e, 0xcb, 0x40, 0x5d, 0xc3}},
{{0x07, 0x73, 0xe1, 0x8e, 0xa1, 0xbe, 0x44, 0xfe, 0x1a, 0x97, 0xe2, 0x39, 0x57, 0x3c, 0xfa, 0xe3, 0xe4, 0xe9, 0x5e, 0xf9, 0xaa, 0x9f, 0xaa, 0xbe, 0xac, 0x12, 0x74, 0xd3, 0xad, 0x26, 0x16, 0x04}},
{{0xe9, 0xaf, 0x0e, 0x7c, 0xa8, 0x93, 0x30, 0xd2, 0xb8, 0x61, 0x5d, 0x1b, 0x41, 0x37, 0xca, 0x61, 0x7e, 0x21, 0x29, 0x7f, 0x2f, 0x0d, 0xed, 0x8e, 0x31, 0xb7, 0xd2, 0xea, 0xd8, 0x71, 0x46, 0x60}},
{{0x7b, 0x12, 0x45, 0x83, 0x09, 0x7f, 0x10, 0x29, 0xa0, 0xc7, 0x41, 0x91, 0xfe, 0x73, 0x78, 0xc9, 0x10, 0x5a, 0xcc, 0x70, 0x66, 0x95, 0xed, 0x14, 0x93, 0xbb, 0x76, 0x03, 0x42, 0x26, 0xa5, 0x7b}},
{{0xec, 0x40, 0x05, 0x7b, 0x99, 0x54, 0x76, 0x65, 0x0b, 0x3d, 0xb9, 0x8e, 0x9d, 0xb7, 0x57, 0x38, 0xa8, 0xcd, 0x2f, 0x94, 0xd8, 0x63, 0xb9, 0x06, 0x15, 0x0c, 0x56, 0xaa, 0xc1, 0x9c, 0xaa, 0x6b}},
{{0x01, 0xd9, 0xff, 0x72, 0x9e, 0xfd, 0x39, 0xd8, 0x37, 0x84, 0xc0, 0xfe, 0x59, 0xc4, 0xae, 0x81, 0xa6, 0x70, 0x34, 0xcb, 0x53, 0xc9, 0x43, 0xfb, 0x81, 0x8b, 0x9d, 0x8a, 0xe7, 0xfc, 0x33, 0xe5}},
{{0x00, 0xdf, 0xb3, 0xc6, 0x96, 0x32, 0x8c, 0x76, 0x42, 0x45, 0x19, 0xa7, 0xbe, 0xfe, 0x8e, 0x0f, 0x6c, 0x76, 0xf9, 0x47, 0xb5, 0x27, 0x67, 0x91, 0x6d, 0x24, 0x82, 0x3f, 0x73, 0x5b, 0xaf, 0x2e}},
{{0x46, 0x1b, 0x79, 0x9b, 0x4d, 0x9c, 0xee, 0xa8, 0xd5, 0x80, 0xdc, 0xb7, 0x6d, 0x11, 0x15, 0x0d, 0x53, 0x5e, 0x16, 0x39, 0xd1, 0x60, 0x03, 0xc3, 0xfb, 0x7e, 0x9d, 0x1f, 0xd1, 0x30, 0x83, 0xa8}},
{{0xee, 0x03, 0x03, 0x94, 0x79, 0xe5, 0x22, 0x8f, 0xdc, 0x55, 0x1c, 0xbd, 0xe7, 0x07, 0x9d, 0x34, 0x12, 0xea, 0x18, 0x6a, 0x51, 0x7c, 0xcc, 0x63, 0xe4, 0x6e, 0x9f, 0xcc, 0xe4, 0xfe, 0x3a, 0x6c}},
{{0xa8, 0xcf, 0xb5, 0x43, 0x52, 0x4e, 0x7f, 0x02, 0xb9, 0xf0, 0x45, 0xac, 0xd5, 0x43, 0xc2, 0x1c, 0x37, 0x3b, 0x4c, 0x9b, 0x98, 0xac, 0x20, 0xce, 0xc4, 0x17, 0xa6, 0xdd, 0xb5, 0x74, 0x4e, 0x94}},
{{0x93, 0x2b, 0x79, 0x4b, 0xf8, 0x9c, 0x6e, 0xda, 0xf5, 0xd0, 0x65, 0x0c, 0x7c, 0x4b, 0xad, 0x92, 0x42, 0xb2, 0x56, 0x26, 0xe3, 0x7e, 0xad, 0x5a, 0xa7, 0x5e, 0xc8, 0xc6, 0x4e, 0x09, 0xdd, 0x4f}},
{{0x16, 0xb1, 0x0c, 0x77, 0x9c, 0xe5, 0xcf, 0xef, 0x59, 0xc7, 0x71, 0x0d, 0x2e, 0x68, 0x44, 0x1e, 0xa6, 0xfa, 0xcb, 0x68, 0xe9, 0xb5, 0xf7, 0xd5, 0x33, 0xae, 0x0b, 0xb7, 0x8e, 0x28, 0xbf, 0x57}},
{{0x0f, 0x77, 0xc7, 0x67, 0x43, 0xe7, 0x39, 0x6f, 0x99, 0x10, 0x13, 0x9f, 0x49, 0x37, 0xd8, 0x37, 0xae, 0x54, 0xe2, 0x10, 0x38, 0xac, 0x5c, 0x0b, 0x3f, 0xd6, 0xef, 0x17, 0x1a, 0x28, 0xa7, 0xe4}},
{{0xd7, 0xe5, 0x74, 0xb7, 0xb9, 0x52, 0xf2, 0x93, 0xe8, 0x0d, 0xde, 0x90, 0x5e, 0xb5, 0x09, 0x37, 0x3f, 0x3f, 0x6c, 0xd1, 0x09, 0xa0, 0x22, 0x08, 0xb3, 0xc1, 0xe9, 0x24, 0x08, 0x0a, 0x20, 0xca}},
{{0x45, 0x66, 0x6f, 0x8c, 0x38, 0x1e, 0x3d, 0xa6, 0x75, 0x56, 0x3f, 0xf8, 0xba, 0x23, 0xf8, 0x3b, 0xfa, 0xc3, 0x0c, 0x34, 0xab, 0xdd, 0xe6, 0xe5, 0xc0, 0x97, 0x5e, 0xf9, 0xfd, 0x70, 0x0c, 0xb9}},
{{0xb2, 0x46, 0x12, 0xe4, 0x54, 0x60, 0x7e, 0xb1, 0xab, 0xa4, 0x47, 0xf8, 0x16, 0xd1, 0xa4, 0x55, 0x1e, 0xf9, 0x5f, 0xa7, 0x24, 0x7f, 0xb7, 0xc1, 0xf5, 0x03, 0x02, 0x0a, 0x71, 0x77, 0xf0, 0xdd}},
{{0x7e, 0x20, 0x88, 0x61, 0x85, 0x6d, 0xa4, 0x2c, 0x8b, 0xb4, 0x6a, 0x75, 0x67, 0xf8, 0x12, 0x13, 0x62, 0xd9, 0xfb, 0x24, 0x96, 0xf1, 0x31, 0xa4, 0xaa, 0x90, 0x17, 0xcf, 0x36, 0x6c, 0xdf, 0xce}},
{{0x5b, 0x64, 0x6b, 0xff, 0x6a, 0xd1, 0x10, 0x01, 0x65, 0x03, 0x7a, 0x05, 0x56, 0x01, 0xea, 0x02, 0x35, 0x8c, 0x0f, 0x41, 0x05, 0x0f, 0x9d, 0xfe, 0x3c, 0x95, 0xdc, 0xcb, 0xd3, 0x08, 0x7b, 0xe0}},
{{0x74, 0x6d, 0x1d, 0xcc, 0xfe, 0xd2, 0xf0, 0xff, 0x1e, 0x13, 0xc5, 0x1e, 0x2d, 0x50, 0xd5, 0x32, 0x43, 0x75, 0xfb, 0xd5, 0xbf, 0x7c, 0xa8, 0x2a, 0x89, 0x31, 0x82, 0x8d, 0x80, 0x1d, 0x43, 0xab}},
{{0xcb, 0x98, 0x11, 0x0d, 0x4a, 0x6b, 0xb9, 0x7d, 0x22, 0xfe, 0xad, 0xbc, 0x6c, 0x0d, 0x89, 0x30, 0xc5, 0xf8, 0xfc, 0x50, 0x8b, 0x2f, 0xc5, 0xb3, 0x53, 0x28, 0xd2, 0x6b, 0x88, 0xdb, 0x19, 0xae}},
{{0x60, 0xb6, 0x26, 0xa0, 0x33, 0xb5, 0x5f, 0x27, 0xd7, 0x67, 0x6c, 0x40, 0x95, 0xea, 0xba, 0xbc, 0x7a, 0x2c, 0x7e, 0xde, 0x26, 0x24, 0xb4, 0x72, 0xe9, 0x7f, 0x64, 0xf9, 0x6b, 0x8c, 0xfc, 0x0e}},
{{0xe5, 0xb5, 0x2b, 0xc9, 0x27, 0x46, 0x8d, 0xf7, 0x18, 0x93, 0xeb, 0x81, 0x97, 0xef, 0x82, 0x0c, 0xf7, 0x6c, 0xb0, 0xaa, 0xf6, 0xe8, 0xe4, 0xfe, 0x93, 0xad, 0x62, 0xd8, 0x03, 0x98, 0x31, 0x04}},
{{0x05, 0x65, 0x41, 0xae, 0x5d, 0xa9, 0x96, 0x1b, 0xe2, 0xb0, 0xa5, 0xe8, 0x95, 0xe5, 0xc5, 0xba, 0x15, 0x3c, 0xbb, 0x62, 0xdd, 0x56, 0x1a, 0x42, 0x7b, 0xad, 0x0f, 0xfd, 0x41, 0x92, 0x31, 0x99}},
{{0xf8, 0xfe, 0xf0, 0x5a, 0x3f, 0xa5, 0xc9, 0xf3, 0xeb, 0xa4, 0x16, 0x38, 0xb2, 0x47, 0xb7, 0x11, 0xa9, 0x9f, 0x96, 0x0f, 0xe7, 0x3a, 0xa2, 0xf9, 0x01, 0x36, 0xae, 0xb2, 0x03, 0x29, 0xb8, 0x88}}};
//Debug printing for the above types
//Actually use DP(value) and #define DBG
void dp(key a);
void dp(bool a);
void dp(const char * a, int l);
void dp(keyV a);
void dp(keyM a);
void dp(xmr_amount vali);
void dp(int vali);
void dp(bits amountb);
void dp(const char * st);
//various conversions
//uint long long to 32 byte key
void d2h(key & amounth, xmr_amount val);
key d2h(xmr_amount val);
//uint long long to int[64]
void d2b(bits amountb, xmr_amount val);
//32 byte key to uint long long
// if the key holds a value > 2^64
// then the value in the first 8 bytes is returned
xmr_amount h2d(const key &test);
//32 byte key to int[64]
void h2b(bits amountb2, const key & test);
//int[64] to 32 byte key
void b2h(key & amountdh, bits amountb2);
//int[64] to uint long long
xmr_amount b2d(bits amountb);
inline const rct::key &pk2rct(const crypto::public_key &pk) { return (const rct::key&)pk; }
inline const rct::key &sk2rct(const crypto::secret_key &sk) { return (const rct::key&)sk; }
inline const rct::key &ki2rct(const crypto::key_image &ki) { return (const rct::key&)ki; }
inline const rct::key &hash2rct(const crypto::hash &h) { return (const rct::key&)h; }
inline const crypto::public_key &rct2pk(const rct::key &k) { return (const crypto::public_key&)k; }
inline const crypto::secret_key &rct2sk(const rct::key &k) { return (const crypto::secret_key&)k; }
inline const crypto::key_image &rct2ki(const rct::key &k) { return (const crypto::key_image&)k; }
inline const crypto::hash &rct2hash(const rct::key &k) { return (const crypto::hash&)k; }
inline bool operator==(const rct::key &k0, const crypto::public_key &k1) { return !crypto_verify_32(k0.bytes, (const unsigned char*)&k1); }
inline bool operator!=(const rct::key &k0, const crypto::public_key &k1) { return crypto_verify_32(k0.bytes, (const unsigned char*)&k1); }
inline std::string to_hex_string(const rct::key& v) {
return "<{}>"_format(tools::type_to_hex(v));
}
}
template <> inline constexpr bool formattable::via_to_hex_string<rct::key> = true;
namespace cryptonote {
inline bool operator==(const crypto::public_key &k0, const rct::key &k1) { return !crypto_verify_32((const unsigned char*)&k0, k1.bytes); }
inline bool operator!=(const crypto::public_key &k0, const rct::key &k1) { return crypto_verify_32((const unsigned char*)&k0, k1.bytes); }
inline bool operator==(const crypto::secret_key &k0, const rct::key &k1) { return !crypto_verify_32((const unsigned char*)&k0, k1.bytes); }
inline bool operator!=(const crypto::secret_key &k0, const rct::key &k1) { return crypto_verify_32((const unsigned char*)&k0, k1.bytes); }
}
namespace std
{
template<> struct hash<rct::key> { std::size_t operator()(const rct::key &k) const { return reinterpret_cast<const std::size_t&>(k); } };
}
BLOB_SERIALIZER(rct::key);
BLOB_SERIALIZER(rct::key64);
BLOB_SERIALIZER(rct::ctkey);
BLOB_SERIALIZER(rct::multisig_kLRki);
BLOB_SERIALIZER(rct::boroSig);
VARIANT_TAG(rct::key, "rct_key", 0x90);
VARIANT_TAG(rct::key64, "rct_key64", 0x91);
VARIANT_TAG(rct::keyV, "rct_keyV", 0x92);
VARIANT_TAG(rct::keyM, "rct_keyM", 0x93);
VARIANT_TAG(rct::ctkey, "rct_ctkey", 0x94);
VARIANT_TAG(rct::ctkeyV, "rct_ctkeyV", 0x95);
VARIANT_TAG(rct::ctkeyM, "rct_ctkeyM", 0x96);
VARIANT_TAG(rct::ecdhTuple, "rct_ecdhTuple", 0x97);
VARIANT_TAG(rct::mgSig, "rct_mgSig", 0x98);
VARIANT_TAG(rct::rangeSig, "rct_rangeSig", 0x99);
VARIANT_TAG(rct::boroSig, "rct_boroSig", 0x9a);
VARIANT_TAG(rct::rctSig, "rct_rctSig", 0x9b);
VARIANT_TAG(rct::Bulletproof, "rct_bulletproof", 0x9c);
VARIANT_TAG(rct::multisig_kLRki, "rct_multisig_kLR", 0x9d);
VARIANT_TAG(rct::multisig_out, "rct_multisig_out", 0x9e);
VARIANT_TAG(rct::clsag, "rct_clsag", 0x9f);
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