Merge bitcoin/bitcoin#34257: txgraph: deterministic optimal transaction order

6f113cb184 txgraph: use fallback order to sort chunks (feature) (Pieter Wuille)
0a3351947e txgraph: use fallback order when linearizing (feature) (Pieter Wuille)
fba004a3df txgraph: pass fallback_order to TxGraph (preparation) (Pieter Wuille)
941c432a46 txgraph test: subclass TxGraph::Ref like mempool does (preparation) (Pieter Wuille)
39d0052cbf clusterlin: make optimal linearizations deterministic (feature) (Pieter Wuille)
8bfbba3207 txgraph: sort distinct-cluster chunks by equal-feerate-prefix size (feature) (Pieter Wuille)
e0bc73ba92 clusterlin: sort tx in chunk by feerate and size (feature) (Pieter Wuille)
6c1bcb2c7c txgraph: clear cluster's chunk index in ~Ref (preparation) (Pieter Wuille)
7427c7d098 txgraph: update chunk index on Compact (preparation) (Pieter Wuille)
3ddafceb9a txgraph: initialize Ref in AddTransaction (preparation) (Pieter Wuille)

Pull request description:

  Part of #30289.

  TxGraph's fundamental responsibility is deciding the order of transactions in the mempool. It relies on the `cluster_linearize.h` code to optimize it, but there can and often will be many different orderings that are essentially equivalent from a quality perspective, so we have to pick one. At a high level, the solution will involve one or more of:
  * Deciding based on **internal identifiers** (`Cluster::m_sequence`, `DepGraphIndex`). This is very simple, but risks leaking information about transaction receive order.
  * Deciding **randomly**, which is private, but may interfere with relay expectations, block propagation, and ability to monitor network behavior.
  * Deciding **based on txid**, which is private and deterministic, but risks incentivizing grinding to get an edge (though we haven't really seen such behavior).
  * Deciding **based on size** (e.g. prefer smaller transactions), which is somewhat related to quality, but not unconditionally (depending on mempool layout, the ideal ordering might call for smaller transactions first, last, or anywhere in between). It's also not a strong ordering as there can be many identically-sized transactions. However, if it were to encourage grinding behavior, incentivizing smaller transactions is probably not a bad thing.

  As of #32545, the current behavior is primarily picking randomly, though inconsistently, as some code paths also use internal identifiers and size. #33335 sought to change it to use random (preferring size in a few places), with the downsides listed above.

  This PR is an alternative to that, which changes the order to tie-break based on size everywhere possible, and use lowest-txid-first as final fallback. This is fully deterministic: for any given set of mempool transactions, if all linearized optimally, the transaction order exposed by TxGraph is deterministic.

  The transactions within a chunk are sorted according to:
  1. `PostLinearize` (which improves sub-chunk order), using an initial linearization created using the rules 2-5 below.
  2. Topology (parents before children).
  3. Individual transaction feerate (high to low)
  4. Individual transaction weight (small to large)
  5. Txid (low to high txid)

  The chunks within a cluster are sorted according to:
  1. Topology (chunks after their dependencies)
  2. Chunk feerate (high to low)
  3. Chunk weight (small to large)
  4. Max-txid (chunk with lowest maximum-txid first)

  The chunks across clusters are sorted according to:
  1. Feerate (high to low)
  2. Equal-feerate-chunk-prefix weight (small to large)
  3. Max-txid (chunk with lowest maximum-txid first)

  The equal-feerate-chunk-prefix weight of a chunk C is defined as the sum of the weights of all chunks in the same cluster as C, with the same feerate as C, up to and including C itself, in linearization order (but excluding such chunks that appear after C). This is a well-defined approximation of sorting chunks from small to large across clusters, while remaining consistent with intra-cluster linearization order.

ACKs for top commit:
  ajtowns:
    reACK 6f113cb184 it was good before and now it's better
  instagibbs:
    ACK 6f113cb184
  marcofleon:
    light crACK 6f113cb184

Tree-SHA512: 16dc43c62b7e83c81db1ee14c01e068ae2f06c1ffaa0898837d87271fa7179dd98baeb74abc9fe79220e01fdba6876defe60022c2b72badc21d770644a0fe0ac

src/bench/blockencodings.cpp

@@ -22,7 +22,7 @@
 static void AddTx(const CTransactionRef& tx, const CAmount& fee, CTxMemPool& pool) EXCLUSIVE_LOCKS_REQUIRED(cs_main, pool.cs)
 {
     LockPoints lp;
-    TryAddToMempool(pool, CTxMemPoolEntry(TxGraph::Ref(), tx, fee, /*time=*/0, /*entry_height=*/1, /*entry_sequence=*/0, /*spends_coinbase=*/false, /*sigops_cost=*/4, lp));
+    TryAddToMempool(pool, CTxMemPoolEntry(tx, fee, /*time=*/0, /*entry_height=*/1, /*entry_sequence=*/0, /*spends_coinbase=*/false, /*sigops_cost=*/4, lp));
 }
 
 namespace {

src/bench/cluster_linearize.cpp

@@ -55,7 +55,7 @@ void BenchLinearizeOptimallyTotal(benchmark::Bench& bench, const std::string& na
         // Benchmark the total time to optimal.
         uint64_t rng_seed = 0;
         bench.name(bench_name).run([&] {
-            auto [_lin, optimal, _cost] = Linearize(depgraph, /*max_iterations=*/10000000, rng_seed++);
+            auto [_lin, optimal, _cost] = Linearize(depgraph, /*max_iterations=*/10000000, rng_seed++, IndexTxOrder{});
             assert(optimal);
         });
     }
@@ -72,7 +72,7 @@ void BenchLinearizeOptimallyPerCost(benchmark::Bench& bench, const std::string&
         // Determine the cost of 100 rng_seeds.
         uint64_t total_cost = 0;
         for (uint64_t iter = 0; iter < 100; ++iter) {
-            auto [_lin, optimal, cost] = Linearize(depgraph, /*max_iterations=*/10000000, /*rng_seed=*/iter);
+            auto [_lin, optimal, cost] = Linearize(depgraph, /*max_iterations=*/10000000, /*rng_seed=*/iter, IndexTxOrder{});
             total_cost += cost;
         }
 
@@ -80,7 +80,7 @@ void BenchLinearizeOptimallyPerCost(benchmark::Bench& bench, const std::string&
         bench.name(bench_name).unit("cost").batch(total_cost).run([&] {
             uint64_t recompute_cost = 0;
             for (uint64_t iter = 0; iter < 100; ++iter) {
-                auto [_lin, optimal, cost] = Linearize(depgraph, /*max_iterations=*/10000000, /*rng_seed=*/iter);
+                auto [_lin, optimal, cost] = Linearize(depgraph, /*max_iterations=*/10000000, /*rng_seed=*/iter, IndexTxOrder{});
                 assert(optimal);
                 recompute_cost += cost;
             }

src/bench/mempool_ephemeral_spends.cpp

@@ -29,7 +29,7 @@ static void AddTx(const CTransactionRef& tx, CTxMemPool& pool) EXCLUSIVE_LOCKS_R
     unsigned int sigOpCost{4};
     uint64_t fee{0};
     LockPoints lp;
-    TryAddToMempool(pool, CTxMemPoolEntry(TxGraph::Ref(),
+    TryAddToMempool(pool, CTxMemPoolEntry(
         tx, fee, nTime, nHeight, sequence,
         spendsCoinbase, sigOpCost, lp));
 }

src/bench/mempool_eviction.cpp

@@ -27,7 +27,7 @@ static void AddTx(const CTransactionRef& tx, const CAmount& nFee, CTxMemPool& po
     bool spendsCoinbase = false;
     unsigned int sigOpCost = 4;
     LockPoints lp;
-    TryAddToMempool(pool, CTxMemPoolEntry(TxGraph::Ref(),
+    TryAddToMempool(pool, CTxMemPoolEntry(
         tx, nFee, nTime, nHeight, sequence,
         spendsCoinbase, sigOpCost, lp));
 }

src/bench/mempool_stress.cpp

@@ -29,7 +29,7 @@ static void AddTx(const CTransactionRef& tx, CTxMemPool& pool, FastRandomContext
     bool spendsCoinbase = false;
     unsigned int sigOpCost = 4;
     LockPoints lp;
-    TryAddToMempool(pool, CTxMemPoolEntry(TxGraph::Ref(), tx, det_rand.randrange(10000)+1000, nTime, nHeight, sequence, spendsCoinbase, sigOpCost, lp));
+    TryAddToMempool(pool, CTxMemPoolEntry(tx, det_rand.randrange(10000)+1000, nTime, nHeight, sequence, spendsCoinbase, sigOpCost, lp));
 }
 
 struct Available {

src/bench/rpc_mempool.cpp

@@ -22,7 +22,7 @@
 static void AddTx(const CTransactionRef& tx, const CAmount& fee, CTxMemPool& pool) EXCLUSIVE_LOCKS_REQUIRED(cs_main, pool.cs)
 {
     LockPoints lp;
-    TryAddToMempool(pool, CTxMemPoolEntry(TxGraph::Ref(), tx, fee, /*time=*/0, /*entry_height=*/1, /*entry_sequence=*/0, /*spends_coinbase=*/false, /*sigops_cost=*/4, lp));
+    TryAddToMempool(pool, CTxMemPoolEntry(tx, fee, /*time=*/0, /*entry_height=*/1, /*entry_sequence=*/0, /*spends_coinbase=*/false, /*sigops_cost=*/4, lp));
 }
 
 static void RpcMempool(benchmark::Bench& bench)

src/bench/txgraph.cpp

@@ -12,6 +12,11 @@
 
 namespace {
 
+std::strong_ordering PointerComparator(const TxGraph::Ref& a, const TxGraph::Ref& b) noexcept
+{
+    return (&a) <=> (&b);
+}
+
 void BenchTxGraphTrim(benchmark::Bench& bench)
 {
     // The from-block transactions consist of 1000 fully linear clusters, each with 64
@@ -60,14 +65,14 @@ void BenchTxGraphTrim(benchmark::Bench& bench)
     std::vector<size_t> top_components;
 
     InsecureRandomContext rng(11);
-    auto graph = MakeTxGraph(MAX_CLUSTER_COUNT, MAX_CLUSTER_SIZE, NUM_ACCEPTABLE_ITERS);
+    auto graph = MakeTxGraph(MAX_CLUSTER_COUNT, MAX_CLUSTER_SIZE, NUM_ACCEPTABLE_ITERS, PointerComparator);
 
     // Construct the top chains.
     for (int chain = 0; chain < NUM_TOP_CHAINS; ++chain) {
         for (int chaintx = 0; chaintx < NUM_TX_PER_TOP_CHAIN; ++chaintx) {
             int64_t fee = rng.randbits<27>() + 100;
             FeePerWeight feerate{fee, 1};
-            top_refs.push_back(graph->AddTransaction(feerate));
+            graph->AddTransaction(top_refs.emplace_back(), feerate);
             // Add internal dependencies linking the chain transactions together.
             if (chaintx > 0) {
                  graph->AddDependency(*(top_refs.rbegin()), *(top_refs.rbegin() + 1));
@@ -85,7 +90,8 @@ void BenchTxGraphTrim(benchmark::Bench& bench)
         // Construct the transaction.
         int64_t fee = rng.randbits<27>() + 100;
         FeePerWeight feerate{fee, 1};
-        auto bottom_tx = graph->AddTransaction(feerate);
+        TxGraph::Ref bottom_tx;
+        graph->AddTransaction(bottom_tx, feerate);
         // Determine the number of dependencies this transaction will have.
         int deps = std::min<int>(NUM_DEPS_PER_BOTTOM_TX, top_components.size());
         for (int dep = 0; dep < deps; ++dep) {

src/cluster_linearize.h

@@ -12,6 +12,7 @@
 #include <utility>
 #include <vector>
 
+#include <attributes.h>
 #include <memusage.h>
 #include <random.h>
 #include <span.h>
@@ -461,6 +462,16 @@ std::vector<FeeFrac> ChunkLinearization(const DepGraph<SetType>& depgraph, std::
     return ret;
 }
 
+/** Concept for function objects that return std::strong_ordering when invoked with two Args. */
+template<typename F, typename Arg>
+concept StrongComparator =
+    std::regular_invocable<F, Arg, Arg> &&
+    std::is_same_v<std::invoke_result_t<F, Arg, Arg>, std::strong_ordering>;
+
+/** Simple default transaction ordering function for SpanningForestState::GetLinearization() and
+ *  Linearize(), which just sorts by DepGraphIndex. */
+using IndexTxOrder = std::compare_three_way;
+
 /** Class to represent the internal state of the spanning-forest linearization (SFL) algorithm.
  *
  * At all times, each dependency is marked as either "active" or "inactive". The subset of active
@@ -635,7 +646,7 @@ private:
     InsecureRandomContext m_rng;
 
     /** Data type to represent indexing into m_tx_data. */
-    using TxIdx = uint32_t;
+    using TxIdx = DepGraphIndex;
     /** Data type to represent indexing into m_dep_data. */
     using DepIdx = uint32_t;
 
@@ -687,6 +698,9 @@ private:
     /** The number of updated transactions in activations/deactivations. */
     uint64_t m_cost{0};
 
+    /** The DepGraph we are trying to linearize. */
+    const DepGraph<SetType>& m_depgraph;
+
     /** Pick a random transaction within a set (which must be non-empty). */
     TxIdx PickRandomTx(const SetType& tx_idxs) noexcept
     {
@@ -959,7 +973,8 @@ private:
 public:
     /** Construct a spanning forest for the given DepGraph, with every transaction in its own chunk
      *  (not topological). */
-    explicit SpanningForestState(const DepGraph<SetType>& depgraph, uint64_t rng_seed) noexcept : m_rng(rng_seed)
+    explicit SpanningForestState(const DepGraph<SetType>& depgraph LIFETIMEBOUND, uint64_t rng_seed) noexcept :
+        m_rng(rng_seed), m_depgraph(depgraph)
     {
         m_transaction_idxs = depgraph.Positions();
         auto num_transactions = m_transaction_idxs.Count();
@@ -1235,15 +1250,30 @@ public:
     }
 
     /** Construct a topologically-valid linearization from the current forest state. Must be
-     *  topological. */
+     *  topological. fallback_order is a comparator that defines a strong order for DepGraphIndexes
-    std::vector<DepGraphIndex> GetLinearization() noexcept
+     *  in this cluster, used to order equal-feerate transactions and chunks.
+     *
+     * Specifically, the resulting order consists of:
+     * - The chunks of the current SFL state, sorted by (in decreasing order of priority):
+     *   - topology (parents before children)
+     *   - highest chunk feerate first
+     *   - smallest chunk size first
+     *   - the chunk with the lowest maximum transaction, by fallback_order, first
+     * - The transactions within a chunk, sorted by (in decreasing order of priority):
+     *   - topology (parents before children)
+     *   - highest tx feerate first
+     *   - smallest tx size first
+     *   - the lowest transaction, by fallback_order, first
+     */
+    std::vector<DepGraphIndex> GetLinearization(const StrongComparator<DepGraphIndex> auto& fallback_order) const noexcept
     {
         /** The output linearization. */
         std::vector<DepGraphIndex> ret;
         ret.reserve(m_transaction_idxs.Count());
         /** A heap with all chunks (by representative) that can currently be included, sorted by
-         *  chunk feerate and a random tie-breaker. */
+         *  chunk feerate (high to low), chunk size (small to large), and by least maximum element
-        std::vector<std::pair<TxIdx, uint64_t>> ready_chunks;
+         *  according to the fallback order (which is the second pair element). */
+        std::vector<std::pair<TxIdx, TxIdx>> ready_chunks;
         /** Information about chunks:
          *  - The first value is only used for chunk representatives, and counts the number of
          *    unmet dependencies this chunk has on other chunks (not including dependencies within
@@ -1253,7 +1283,8 @@ public:
         std::vector<std::pair<TxIdx, TxIdx>> chunk_deps(m_tx_data.size(), {0, 0});
         /** The set of all chunk representatives. */
         SetType chunk_reps;
-        /** A list with all transactions within the current chunk that can be included. */
+        /** A heap with all transactions within the current chunk that can be included, sorted by
+         *  tx feerate (high to low), tx size (small to large), and fallback order. */
         std::vector<TxIdx> ready_tx;
         // Populate chunk_deps[c] with the number of {out-of-chunk dependencies, dependencies} the
         // child has.
@@ -1267,27 +1298,69 @@ public:
                 chunk_deps[chl_chunk_rep].first += (par_chunk_rep != chl_chunk_rep);
             }
         }
-        // Construct a heap with all chunks that have no out-of-chunk dependencies.
+        /** Function to compute the highest element of a chunk, by fallback_order. */
-        /** Comparison function for the heap. */
+        auto max_fallback_fn = [&](TxIdx chunk_rep) noexcept {
-        auto chunk_cmp_fn = [&](const std::pair<TxIdx, uint64_t>& a, const std::pair<TxIdx, uint64_t>& b) noexcept {
+            auto& chunk = m_tx_data[chunk_rep].chunk_setinfo.transactions;
-            auto& chunk_a = m_tx_data[a.first];
+            auto it = chunk.begin();
-            auto& chunk_b = m_tx_data[b.first];
+            DepGraphIndex ret = *it;
-            Assume(chunk_a.chunk_rep == a.first);
+            ++it;
-            Assume(chunk_b.chunk_rep == b.first);
+            while (it != chunk.end()) {
-            // First sort by chunk feerate.
+                if (fallback_order(*it, ret) > 0) ret = *it;
-            if (chunk_a.chunk_setinfo.feerate != chunk_b.chunk_setinfo.feerate) {
+                ++it;
-                return chunk_a.chunk_setinfo.feerate < chunk_b.chunk_setinfo.feerate;
             }
-            // Tie-break randomly.
+            return ret;
-            if (a.second != b.second) return a.second < b.second;
-            // Lastly, tie-break by chunk representative.
-            return a.first < b.first;
         };
+        /** Comparison function for the transaction heap. Note that it is a max-heap, so
+         *  tx_cmp_fn(a, b) == true means "a appears after b in the linearization". */
+        auto tx_cmp_fn = [&](const auto& a, const auto& b) noexcept {
+            // Bail out for identical transactions.
+            if (a == b) return false;
+            // First sort by increasing transaction feerate.
+            auto& a_feerate = m_depgraph.FeeRate(a);
+            auto& b_feerate = m_depgraph.FeeRate(b);
+            auto feerate_cmp = FeeRateCompare(a_feerate, b_feerate);
+            if (feerate_cmp != 0) return feerate_cmp < 0;
+            // Then by decreasing transaction size.
+            if (a_feerate.size != b_feerate.size) {
+                return a_feerate.size > b_feerate.size;
+            }
+            // Tie-break by decreasing fallback_order.
+            auto fallback_cmp = fallback_order(a, b);
+            if (fallback_cmp != 0) return fallback_cmp > 0;
+            // This should not be hit, because fallback_order defines a strong ordering.
+            Assume(false);
+            return a < b;
+        };
+        // Construct a heap with all chunks that have no out-of-chunk dependencies.
+        /** Comparison function for the chunk heap. Note that it is a max-heap, so
+         *  chunk_cmp_fn(a, b) == true means "a appears after b in the linearization". */
+        auto chunk_cmp_fn = [&](const auto& a, const auto& b) noexcept {
+            // Bail out for identical chunks.
+            if (a.first == b.first) return false;
+            // First sort by increasing chunk feerate.
+            auto& chunk_feerate_a = m_tx_data[a.first].chunk_setinfo.feerate;
+            auto& chunk_feerate_b = m_tx_data[b.first].chunk_setinfo.feerate;
+            auto feerate_cmp = FeeRateCompare(chunk_feerate_a, chunk_feerate_b);
+            if (feerate_cmp != 0) return feerate_cmp < 0;
+            // Then by decreasing chunk size.
+            if (chunk_feerate_a.size != chunk_feerate_b.size) {
+                return chunk_feerate_a.size > chunk_feerate_b.size;
+            }
+            // Tie-break by decreasing fallback_order.
+            auto fallback_cmp = fallback_order(a.second, b.second);
+            if (fallback_cmp != 0) return fallback_cmp > 0;
+            // This should not be hit, because fallback_order defines a strong ordering.
+            Assume(false);
+            return a.second < b.second;
+        };
+        // Construct a heap with all chunks that have no out-of-chunk dependencies.
         for (TxIdx chunk_rep : chunk_reps) {
-            if (chunk_deps[chunk_rep].first == 0) ready_chunks.emplace_back(chunk_rep, m_rng.rand64());
+            if (chunk_deps[chunk_rep].first == 0) {
+                ready_chunks.emplace_back(chunk_rep, max_fallback_fn(chunk_rep));
+            }
         }
         std::make_heap(ready_chunks.begin(), ready_chunks.end(), chunk_cmp_fn);
-        // Pop chunks off the heap, highest-feerate ones first.
+        // Pop chunks off the heap.
         while (!ready_chunks.empty()) {
             auto [chunk_rep, _rnd] = ready_chunks.front();
             std::pop_heap(ready_chunks.begin(), ready_chunks.end(), chunk_cmp_fn);
@@ -1296,21 +1369,18 @@ public:
             Assume(chunk_deps[chunk_rep].first == 0);
             const auto& chunk_txn = m_tx_data[chunk_rep].chunk_setinfo.transactions;
             // Build heap of all includable transactions in chunk.
+            Assume(ready_tx.empty());
             for (TxIdx tx_idx : chunk_txn) {
-                if (chunk_deps[tx_idx].second == 0) {
+                if (chunk_deps[tx_idx].second == 0) ready_tx.push_back(tx_idx);
-                    ready_tx.push_back(tx_idx);
-                }
             }
             Assume(!ready_tx.empty());
-            // Pick transactions from the ready queue, append them to linearization, and decrement
+            std::make_heap(ready_tx.begin(), ready_tx.end(), tx_cmp_fn);
+            // Pick transactions from the ready heap, append them to linearization, and decrement
             // dependency counts.
             while (!ready_tx.empty()) {
-                // Move a random queue element to the back.
+                // Pop an element from the tx_ready heap.
-                auto pos = m_rng.randrange(ready_tx.size());
+                auto tx_idx = ready_tx.front();
-                if (pos != ready_tx.size() - 1) std::swap(ready_tx.back(), ready_tx[pos]);
+                std::pop_heap(ready_tx.begin(), ready_tx.end(), tx_cmp_fn);
-                // Pop from the back.
-                auto tx_idx = ready_tx.back();
-                Assume(chunk_txn[tx_idx]);
                 ready_tx.pop_back();
                 // Append to linearization.
                 ret.push_back(tx_idx);
@@ -1321,15 +1391,16 @@ public:
                     // Decrement tx dependency count.
                     Assume(chunk_deps[chl_idx].second > 0);
                     if (--chunk_deps[chl_idx].second == 0 && chunk_txn[chl_idx]) {
-                        // Child tx has no dependencies left, and is in this chunk. Add it to the tx queue.
+                        // Child tx has no dependencies left, and is in this chunk. Add it to the tx heap.
                         ready_tx.push_back(chl_idx);
+                        std::push_heap(ready_tx.begin(), ready_tx.end(), tx_cmp_fn);
                     }
                     // Decrement chunk dependency count if this is out-of-chunk dependency.
                     if (chl_data.chunk_rep != chunk_rep) {
                         Assume(chunk_deps[chl_data.chunk_rep].first > 0);
                         if (--chunk_deps[chl_data.chunk_rep].first == 0) {
                             // Child chunk has no dependencies left. Add it to the chunk heap.
-                            ready_chunks.emplace_back(chl_data.chunk_rep, m_rng.rand64());
+                            ready_chunks.emplace_back(chl_data.chunk_rep, max_fallback_fn(chl_data.chunk_rep));
                             std::push_heap(ready_chunks.begin(), ready_chunks.end(), chunk_cmp_fn);
                         }
                     }
@@ -1521,6 +1592,9 @@ public:
  * @param[in] rng_seed            A random number seed to control search order. This prevents peers
  *                                from predicting exactly which clusters would be hard for us to
  *                                linearize.
+ * @param[in] fallback_order      A comparator to order transactions, used to sort equal-feerate
+ *                                chunks and transactions. See SpanningForestState::GetLinearization
+ *                                for details.
  * @param[in] old_linearization   An existing linearization for the cluster, or empty.
  * @param[in] is_topological      (Only relevant if old_linearization is not empty) Whether
  *                                old_linearization is topologically valid.
@@ -1532,7 +1606,13 @@ public:
  *                                - How many optimization steps were actually performed.
  */
 template<typename SetType>
-std::tuple<std::vector<DepGraphIndex>, bool, uint64_t> Linearize(const DepGraph<SetType>& depgraph, uint64_t max_iterations, uint64_t rng_seed, std::span<const DepGraphIndex> old_linearization = {}, bool is_topological = true) noexcept
+std::tuple<std::vector<DepGraphIndex>, bool, uint64_t> Linearize(
+    const DepGraph<SetType>& depgraph,
+    uint64_t max_iterations,
+    uint64_t rng_seed,
+    const StrongComparator<DepGraphIndex> auto& fallback_order,
+    std::span<const DepGraphIndex> old_linearization = {},
+    bool is_topological = true) noexcept
 {
     /** Initialize a spanning forest data structure for this cluster. */
     SpanningForestState forest(depgraph, rng_seed);
@@ -1562,7 +1642,7 @@ std::tuple<std::vector<DepGraphIndex>, bool, uint64_t> Linearize(const DepGraph<
             }
         } while (forest.GetCost() < max_iterations);
     }
-    return {forest.GetLinearization(), optimal, forest.GetCost()};
+    return {forest.GetLinearization(fallback_order), optimal, forest.GetCost()};
 }
 
 /** Improve a given linearization.

src/kernel/mempool_entry.h

@@ -84,12 +84,11 @@ private:
 
 public:
     virtual ~CTxMemPoolEntry() = default;
-    CTxMemPoolEntry(TxGraph::Ref&& ref, const CTransactionRef& tx, CAmount fee,
+    CTxMemPoolEntry(const CTransactionRef& tx, CAmount fee,
                     int64_t time, unsigned int entry_height, uint64_t entry_sequence,
                     bool spends_coinbase,
                     int64_t sigops_cost, LockPoints lp)
-        : TxGraph::Ref(std::move(ref)),
+        : tx{tx},
-          tx{tx},
           nFee{fee},
           nTxWeight{GetTransactionWeight(*tx)},
           nUsageSize{RecursiveDynamicUsage(tx)},

src/primitives/transaction_identifier.h

@@ -9,6 +9,7 @@
 #include <uint256.h>
 #include <util/types.h>
 
+#include <compare>
 #include <cstddef>
 #include <optional>
 #include <string>
@@ -42,7 +43,7 @@ public:
     template <typename Other>
     bool operator==(const Other& other) const { return Compare(other) == 0; }
     template <typename Other>
-    bool operator<(const Other& other) const { return Compare(other) < 0; }
+    std::strong_ordering operator<=>(const Other& other) const { return Compare(other) <=> 0; }
 
     const uint256& ToUint256() const LIFETIMEBOUND { return m_wrapped; }
     static transaction_identifier FromUint256(const uint256& id) { return {id}; }

src/test/cluster_linearize_tests.cpp

@@ -54,7 +54,7 @@ void TestDepGraphSerialization(const std::vector<std::pair<FeeFrac, SetType>>& c
     BOOST_CHECK(depgraph == depgraph_read);
 }
 
-void TestOptimalLinearization(const std::vector<uint8_t>& enc, const std::vector<FeeFrac>& optimal_diagram)
+void TestOptimalLinearization(std::span<const uint8_t> enc, std::initializer_list<DepGraphIndex> optimal_linearization)
 {
     DepGraphIndex tx_count = 0;
     FastRandomContext rng;
@@ -88,14 +88,11 @@ void TestOptimalLinearization(const std::vector<uint8_t>& enc, const std::vector
                 is_topological = false;
                 break;
             }
-            std::tie(lin, opt, cost) = Linearize(depgraph, 1000000000000, rng.rand64(), lin, is_topological);
+            std::tie(lin, opt, cost) = Linearize(depgraph, 1000000000000, rng.rand64(), IndexTxOrder{}, lin, is_topological);
             BOOST_CHECK(opt);
             BOOST_CHECK(cost <= MaxOptimalLinearizationIters(depgraph.TxCount()));
             SanityCheck(depgraph, lin);
-            auto chunking = ChunkLinearization(depgraph, lin);
+            BOOST_CHECK(std::ranges::equal(lin, optimal_linearization));
-            BOOST_CHECK(std::is_eq(CompareChunks(chunking, optimal_diagram)));
-            // Verify that the chunks are minimal.
-            BOOST_CHECK_EQUAL(chunking.size(), optimal_diagram.size());
         }
         tx_count = depgraph.PositionRange();
     };
@@ -244,239 +241,239 @@ BOOST_AUTO_TEST_CASE(depgraph_optimal_tests)
     // Compare linearizations with known-optimal chunk feerate diagrams.
 
     // Hard clusters (according to various metrics) that appeared in replayed 2023 mempool data, ranging from 2 to 64 transactions.
-    TestOptimalLinearization("9276fa3a009c3b80cd4001a21680d85c02927bfa5403934280845404a04c80cf0805c75b82c22206a46880f532079c7e80b85608965780916a09a04a80cf080a9823809b3e0bb27b81ec0c0c8540c60e0c0c993e80c86a0d0b8540c2020c0c9352809f780c09972f80f84a080c85449900080c875da164080c875081ae54070c8335af4c071f9c6781a72a13010f99108190160e000e85419f2c07168332903c05158540819e54041216ba5183907a140000001182428d080024a25c83c11201040400010609b6668487240004060000000000"_hex_v_u8, {{47188, 8550}, {42800, 7755}, {325314, 79021}, {2070, 833}, {900, 450}, {2226, 1117}, {1664, 836}, {1118, 562}});
+    TestOptimalLinearization("9276fa3a009c3b80cd4001a21680d85c02927bfa5403934280845404a04c80cf0805c75b82c22206a46880f532079c7e80b85608965780916a09a04a80cf080a9823809b3e0bb27b81ec0c0c8540c60e0c0c993e80c86a0d0b8540c2020c0c9352809f780c09972f80f84a080c85449900080c875da164080c875081ae54070c8335af4c071f9c6781a72a13010f99108190160e000e85419f2c07168332903c05158540819e54041216ba5183907a140000001182428d080024a25c83c11201040400010609b6668487240004060000000000"_hex_u8, {3, 0, 1, 2, 4, 28, 29, 5, 16, 10, 12, 22, 24, 9, 14, 11, 13, 17, 19, 18, 27, 6, 7, 8, 20, 30, 21, 15, 25, 23, 26});
-    TestOptimalLinearization("850d81fd4000850e81fd400000850d81fd400000850d81fd400000850e8285000000850d8285000000850e8288600000850e8288600000850e828860000000"_hex_v_u8, {{223440, 7034}});
+    TestOptimalLinearization("850d81fd4000850e81fd400000850d81fd400000850d81fd400000850e8285000000850d8285000000850e8288600000850e8288600000850e828860000000"_hex_u8, {0, 1, 2, 3, 4, 5, 6, 7, 8});
-    TestOptimalLinearization("818f1c8a935a0083219530000083219530010083219530020083219530030083219530040083219530050083219530060083219530070083219530080000"_hex_v_u8, {{104325, 39749}});
+    TestOptimalLinearization("818f1c8a935a0083219530000083219530010083219530020083219530030083219530040083219530050083219530060083219530070083219530080000"_hex_u8, {0, 1, 2, 3, 4, 5, 6, 7, 8, 9});
-    TestOptimalLinearization("836880bf4000834c80b6600000836880bf400100834c80b6600001836880bf400101834c80b6600002836880bf400102834c80b6600003836880bf400103834c80b6600004836880bf400104834c80b6600005836880bf400105836880bf400006834c80b6600106834c80b6600106836880bf400206834c80b6600008836880bf400108836880bf40000900"_hex_v_u8, {{12320, 616}, {11760, 588}, {12320, 616}, {11760, 588}, {12320, 616}, {11760, 588}, {12320, 616}, {11760, 588}, {12320, 616}, {11760, 588}, {12320, 616}, {11760, 588}, {12320, 616}, {11760, 588}, {12320, 616}, {11760, 588}, {12320, 616}, {11760, 588}, {12320, 616}, {12320, 616}});
+    TestOptimalLinearization("836880bf4000834c80b6600000836880bf400100834c80b6600001836880bf400101834c80b6600002836880bf400102834c80b6600003836880bf400103834c80b6600004836880bf400104834c80b6600005836880bf400105836880bf400006834c80b6600106834c80b6600106836880bf400206834c80b6600008836880bf400108836880bf40000900"_hex_u8, {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 13, 15, 16, 17, 18, 19});
-    TestOptimalLinearization("84a22e8fce380083208c38000083208c38010083208c38020083208c38030083208c38040083208c38050083208c38060083208c38070083208c38080083208c38090000"_hex_v_u8, {{144756, 91886}});
+    TestOptimalLinearization("84a22e8fce380083208c38000083208c38010083208c38020083208c38030083208c38040083208c38050083208c38060083208c38070083208c38080083208c38090000"_hex_u8, {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10});
-    TestOptimalLinearization("8361a8340084309730000000"_hex_v_u8, {{2650, 609}, {1560, 688}});
+    TestOptimalLinearization("8361a8340084309730000000"_hex_u8, {0, 1});
-    TestOptimalLinearization("829428f0fe20008319809604000183198096040100831980960402008319809604030083198096040400831980960405008319809604060083198096040700831980960408008319809604090083198096040a0083198096040b0083198096040c0083198096040d0083198096040e0083198096040f008319809604100083198096041100831980960412008319809604130083198096041400831980960415008319809604160083198096041700831980960418008319809604190083198096041a0000"_hex_v_u8, {{933840, 51880}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}});
+    TestOptimalLinearization("829428f0fe20008319809604000183198096040100831980960402008319809604030083198096040400831980960405008319809604060083198096040700831980960408008319809604090083198096040a0083198096040b0083198096040c0083198096040d0083198096040e0083198096040f008319809604100083198096041100831980960412008319809604130083198096041400831980960415008319809604160083198096041700831980960418008319809604190083198096041a0000"_hex_u8, {1, 0, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27});
-    TestOptimalLinearization("854ec47200854ec4720001854ec4720001854ec4720001854ec4720001854ec4720001854ec4720001854ec4720001854ec4720001854ec4720000854ec4720000854ec4720000854ec4720000854ec4720000854ec4720000854ec4720000854ec4720000854ec4720000854ec4720000854ec4720000854ec4720000854ec4720000854ec4720000854ec4720000854ec472000000"_hex_v_u8, {{4473, 846}, {4473, 846}, {4473, 846}, {4473, 846}, {4473, 846}, {4473, 846}, {4473, 846}, {4473, 846}, {4473, 846}, {4473, 846}, {4473, 846}, {4473, 846}, {4473, 846}, {4473, 846}, {4473, 846}, {4473, 846}, {4473, 846}, {4473, 846}, {4473, 846}, {4473, 846}, {4473, 846}, {4473, 846}, {4473, 846}, {4473, 846}, {4473, 846}});
+    TestOptimalLinearization("854ec47200854ec4720001854ec4720001854ec4720001854ec4720001854ec4720001854ec4720001854ec4720001854ec4720001854ec4720000854ec4720000854ec4720000854ec4720000854ec4720000854ec4720000854ec4720000854ec4720000854ec4720000854ec4720000854ec4720000854ec4720000854ec4720000854ec4720000854ec4720000854ec472000000"_hex_u8, {8, 0, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24});
-    TestOptimalLinearization("d1378f927c00e81293cc4001f36095ef5202f20195c33203e93a93817404e76793d0700b80ba72a3e82806fd4697e52207da5d91894608c73d8d98401480990c9d954a0af73292e73a0b8090259bba640c808f689bac760de50692fc1e0eac40888c1a0fbf308bcf481080a3259f980c11c30282fd78128b6f83c2300612932d8ba65e0b09896a88837c010011886281d6380e0000040f953c8594580b000000129e0491c0381300000000148235f72802228653818c08021db40c9180620229833180991c011f854081a95c0020833180bd66002082418097740020953c8784000e00000000000201030d8d7c838d0c04011a874f84842a001600"_hex_v_u8, {{248978, 14346}, {1136423, 78068}, {270282, 20244}, {1423139, 109038}, {903617, 69567}, {106746, 10092}});
+    TestOptimalLinearization("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"_hex_u8, {13, 33, 0, 1, 2, 3, 4, 6, 7, 26, 27, 8, 9, 10, 11, 12, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 34, 30, 31, 32, 28, 29, 25, 35, 36});
-    TestOptimalLinearization("836880ba5807845d80df200000836880ba580100845d80df200001836880bd0c0101845d80e2100002836880bf400102845d80e5000003836880bf400103845d80e5000004854e818800010300854e818800000300854e818800000200854e818800000100854e819178000000836880ed1c0000845f819b500017854e818b28001700"_hex_v_u8, {{252408, 12326}, {17172, 846}});
+    TestOptimalLinearization("836880ba5807845d80df200000836880ba580100845d80df200001836880bd0c0101845d80e2100002836880bf400102845d80e5000003836880bf400103845d80e5000004854e818800010300854e818800000300854e818800000200854e818800000100854e819178000000836880ed1c0000845f819b500017854e818b28001700"_hex_u8, {9, 10, 11, 13, 15, 16, 17, 18, 19, 14, 12, 20, 21, 22, 23, 24, 0, 1});
-    TestOptimalLinearization("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"_hex_v_u8, {{100312, 2047}, {584400, 19178}, {381780, 12556}, {363360, 11954}, {142320, 4730}});
+    TestOptimalLinearization("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"_hex_u8, {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 28, 30, 33, 37, 38, 40, 42, 43, 45, 47, 48, 50, 52, 53, 27, 31, 32, 34, 35, 36, 39, 41, 44, 46, 49, 51, 54, 29});
-    TestOptimalLinearization("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"_hex_v_u8, {{9641, 616}, {2544700, 172404}, {10104, 685}, {10104, 685}, {10104, 685}, {10104, 685}, {10104, 685}, {10104, 685}, {10104, 685}, {10104, 685}, {10104, 685}, {10104, 685}, {10104, 685}, {10104, 685}, {10104, 685}, {10104, 685}, {10104, 685}, {10104, 685}, {10104, 685}, {10104, 685}, {10104, 685}, {10104, 685}, {10104, 685}, {10104, 685}, {10104, 685}, {10104, 685}, {10104, 685}, {10104, 685}, {10104, 685}, {10104, 685}, {10104, 685}, {10104, 685}, {10104, 685}, {10104, 685}, {10104, 685}, {10104, 685}, {10104, 685}, {10104, 685}, {10104, 685}, {10104, 685}, {10104, 685}, {10104, 685}, {10104, 685}, {10104, 685}, {10104, 685}, {10104, 685}, {10104, 685}, {10104, 685}, {10104, 685}, {10104, 685}, {10104, 685}, {10104, 685}, {10104, 685}, {10104, 685}});
+    TestOptimalLinearization("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"_hex_u8, {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53});
-    TestOptimalLinearization("99469a2e008e638f32018e638f32028e638718038e638718048e638718058e648c44068e659002078e639340088f74873c098e6488380a8d6586340b894784240c894784240d8b56852c0ea71993100f8b6d8538108b56852c118e628b76128e638b76138e638b76148e628b76158e648b7616a06c8f78178e638b76188e628838198e638b761a8e6388381b894784241c9412894c1d8e6690521e9c538e1c05199b10f15017000400189527955a1a0000000000001a9e5d8e70120000000000000117b372993c000300000000000000000000000000001800"_hex_v_u8, {{11835, 11678}, {1129, 2022}, {1751, 3398}, {866, 2020}, {827, 2018}, {827, 2018}, {827, 2019}, {827, 2019}, {827, 2019}, {827, 2019}, {827, 2020}, {3025, 8912}, {604, 2018}, {604, 2019}, {604, 2020}, {974, 3795}, {678, 2706}, {542, 2164}, {412, 1645}, {474, 1893}, {1288, 5145}, {406, 1622}, {406, 1622}, {1084, 4332}, {3724, 14884}});
+    TestOptimalLinearization("99469a2e008e638f32018e638f32028e638718038e638718048e638718058e648c44068e659002078e639340088f74873c098e6488380a8d6586340b894784240c894784240d8b56852c0ea71993100f8b6d8538108b56852c118e628b76128e638b76138e638b76148e628b76158e648b7616a06c8f78178e638b76188e628838198e638b761a8e6388381b894784241c9412894c1d8e6690521e9c538e1c05199b10f15017000400189527955a1a0000000000001a9e5d8e70120000000000000117b372993c000300000000000000000000000000001800"_hex_u8, {9, 8, 1, 2, 10, 34, 0, 6, 22, 25, 23, 24, 28, 30, 26, 3, 4, 5, 7, 29, 31, 12, 35, 33, 11, 20, 13, 17, 16, 21, 27, 14, 15, 32, 18, 19});
-    TestOptimalLinearization("833583380083368338000083328334000083318334000083328334000083368338000083358338000083328334000000"_hex_v_u8, {{284, 565}, {848, 1689}, {850, 1693}, {282, 562}});
+    TestOptimalLinearization("833583380083368338000083328334000083318334000083328334000083368338000083358338000083328334000000"_hex_u8, {0, 1, 2, 3, 4, 5, 6, 7});
-    TestOptimalLinearization("80f96f88ab2a008235839b0600008a4880b31801008604ec3c02008235a97c0300833dab7204008752d502050000"_hex_v_u8, {{140794, 37044}});
+    TestOptimalLinearization("80f96f88ab2a008235839b0600008a4880b31801008604ec3c02008235a97c0300833dab7204008752d502050000"_hex_u8, {0, 1, 2, 3, 4, 5, 6});
-    TestOptimalLinearization("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"_hex_v_u8, {{42000, 836}, {255465, 8557}, {21507, 832}, {10670, 438}, {10663, 438}, {588686, 25096}, {389673, 16616}, {418483, 17865}, {400487, 17097}, {12508, 569}, {11767, 568}, {16848, 892}, {24863, 1366}, {83604, 4861}, {9184, 568}, {9641, 616}, {10517, 764}, {6138, 449}, {21950, 1708}, {8968, 721}, {84012, 7176}, {4390, 450}, {1184296, 275612}});
+    TestOptimalLinearization("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"_hex_u8, {7, 26, 27, 28, 20, 12, 21, 24, 23, 22, 0, 1, 2, 15, 16, 13, 14, 6, 29, 25, 30, 31, 3, 4, 34, 32, 33, 17, 35, 10, 11, 18, 8, 5, 9, 36, 19});
-    TestOptimalLinearization("82369e200084459e200186569e200282369e200384459e200488649e200586559e200684459e200788649e200886549e200984449e200a82369e200b9961dc600ca34b81da7800000000000000000000000000008368af4c0000869520c6dd6800008368af3800008368af3801008368af3802008368af3803008368af3804008368af3805008368af3806008368af3807008368af3808008368af3809008368af380a008368af380b008368af380c008368af380d008368af380e008368af380f0000"_hex_v_u8, {{692678, 145712}});
+    TestOptimalLinearization("82369e200084459e200186569e200282369e200384459e200488649e200586559e200684459e200788649e200886549e200984449e200a82369e200b9961dc600ca34b81da7800000000000000000000000000008368af4c0000869520c6dd6800008368af3800008368af3801008368af3802008368af3803008368af3804008368af3805008368af3806008368af3807008368af3808008368af3809008368af380a008368af380b008368af380c008368af380d008368af380e008368af380f0000"_hex_u8, {0, 3, 11, 10, 1, 4, 7, 9, 6, 2, 12, 5, 8, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31});
-    TestOptimalLinearization("8335862e008335862e00008335862e00008335862e00008335862e00008335862e00008335862e00008335862e00008331862600008335862e00008335862e00008335862e00008335862e00008335862e00008335862e0000833d863a00008335862e00008335862e00008544896a000000"_hex_v_u8, {{471, 565}, {471, 565}, {471, 565}, {471, 565}, {471, 565}, {471, 565}, {471, 565}, {471, 565}, {3293, 3951}, {1419, 1703}, {693, 836}});
+    TestOptimalLinearization("8335862e008335862e00008335862e00008335862e00008335862e00008335862e00008335862e00008335862e00008331862600008335862e00008335862e00008335862e00008335862e00008335862e00008335862e0000833d863a00008335862e00008335862e00008544896a000000"_hex_u8, {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18});
-    TestOptimalLinearization("836183f20200842b84b82e00008a1089f33e0100842a849a7c00018361838f420101842b83ca680002836282f8280102842983b00c000300"_hex_v_u8, {{40129, 609}, {44631, 683}, {89375, 1424}, {42750, 682}, {33825, 609}, {37620, 683}, {32340, 610}, {35910, 681}});
+    TestOptimalLinearization("836183f20200842b84b82e00008a1089f33e0100842a849a7c00018361838f420101842b83ca680002836282f8280102842983b00c000300"_hex_u8, {0, 1, 2, 3, 4, 5, 6, 7});
-    TestOptimalLinearization("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"_hex_v_u8, {{3098, 442}, {2883, 442}, {1070885, 209051}, {148942, 39219}, {107942, 30418}, {3136, 892}, {738, 713}, {357, 450}, {332, 442}, {624, 832}, {831, 1108}, {837, 1116}, {1011, 1348}, {627, 837}, {627, 838}, {330, 442}, {420, 566}});
+    TestOptimalLinearization("80fc6c80fd300080e03c80f50e01823aaf3402823aac060380f42080f55e04833d84200580ea0580ea6006833e855a0780ce7c81b724088235898b1c08088474bd2c0908875180a10e0a08857cb0000b088239ad260c088336b8180d0889448e660e08823588db0e0e088242ac5a0c08823588df180d08854588660e088478d670120584498a440f08833dbb1e0f088474ea3810088470d83a1108823588ac7812088242844a13088546886614088545d67e1705823a84181b02875c8c0a1707854088601a058241ae3c1b05823587a67e180887548b7e19088241ae3c21018600d6401b08823a84141c088336854825008755f34a1e088335b6001c2d81d25ca2f16e27001e902d80ea6a250318894ce9202206068336d140034c9969829e282800001d82f57fb48c2e260000040e00"_hex_u8, {13, 14, 31, 22, 10, 11, 21, 42, 24, 28, 26, 27, 25, 0, 1, 3, 12, 32, 7, 8, 5, 6, 2, 15, 17, 18, 20, 37, 33, 16, 38, 39, 46, 43, 41, 4, 23, 29, 34, 36, 40, 35, 9, 19, 30, 44, 45});
-    TestOptimalLinearization("80e67480e6740080d53480d56e0180d04881bd62028f108f1c038335cb7204847ce13e0404824184240504823594990c0604823580d07c07048235a6160804857cdd4009048474f2640904823592ce5c0a04833692700b048540ad300d038608b37c0c04823583e0720d048500a9000e048239841c0f048242b70011038540cc681203833e855a13038470bf7c13048545956a16008600be000d1a8f1880990a17000d8a448a4c1600048544f63c1603018f18f1180c0d0b8600ac40041f00"_hex_v_u8, {{4921, 565}, {221979, 33050}, {185495, 29087}, {4980, 832}, {2507, 437}, {9861, 2072}, {4032, 896}, {2968, 832}, {2912, 896}, {76978, 31757}, {1272, 566}, {1461, 837}, {334, 441}, {338, 449}, {429, 574}, {1038, 2064}, {742, 1476}});
+    TestOptimalLinearization("80e67480e6740080d53480d56e0180d04881bd62028f108f1c038335cb7204847ce13e0404824184240504823594990c0604823580d07c07048235a6160804857cdd4009048474f2640904823592ce5c0a04833692700b048540ad300d038608b37c0c04823583e0720d048500a9000e048239841c0f048242b70011038540cc681203833e855a13038470bf7c13048545956a16008600be000d1a8f1880990a17000d8a448a4c1600048544f63c1603018f18f1180c0d0b8600ac40041f00"_hex_u8, {27, 0, 3, 4, 28, 1, 6, 8, 10, 9, 21, 22, 5, 12, 7, 13, 20, 14, 16, 24, 15, 17, 18, 11, 29, 19, 2, 23, 25, 26});
-    TestOptimalLinearization("84418c6a0080fe1d86fc00000080b97084ea50000080de1c85fc00010080ed4986b930020080a17b848a70030080d07b85c670040080a86b84a630050080e405869320060080db1185ef50070080d11b85c770080080d00185c310090000"_hex_v_u8, {{593589, 297030}});
+    TestOptimalLinearization("84418c6a0080fe1d86fc00000080b97084ea50000080de1c85fc00010080ed4986b930020080a17b848a70030080d07b85c670040080a86b84a630050080e405869320060080db1185ef50070080d11b85c770080080d00185c310090000"_hex_u8, {0, 1, 2, 3, 11, 9, 8, 4, 5, 7, 6, 10});
-    TestOptimalLinearization("856ea51800856da5180000856eab080002856eab080002856dab080002856dab08000000"_hex_v_u8, {{16168, 5265}});
+    TestOptimalLinearization("856ea51800856da5180000856eab080002856eab080002856dab080002856dab08000000"_hex_u8, {3, 4, 0, 1, 2, 5});
-    TestOptimalLinearization("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"_hex_v_u8, {{88836, 35145}});
+    TestOptimalLinearization("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"_hex_u8, {0, 1, 2, 28, 29, 30, 31, 32, 33, 3, 4, 5, 16, 20, 27, 34, 35, 38, 43, 44, 45, 46, 47, 48, 49, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 23, 17, 18, 19, 21, 22, 24, 25, 26, 36, 37, 39, 40, 41, 42});
-    TestOptimalLinearization("80886c99f50c00835df5600000835df5600100835df5600200835df5600300835df5600400835df5600500835df5600600835df5600700835df5600800835df5600900835df5600a00835df5600b00835df5600c00835df5600d00835df5600e00835df5600f00835df5601000835df5601100835df5601200835df5601300835df5601400835df5601500835df5601600835df5601700836880cd78180080895badcb740018835b80c9740018835b80c9740118835b80c9740218835b80c9740318835b80c9740418835b80c9740518835b80c9740618835b80c9740718835b80c9740818835b80c9740918835b80c9740a18835b80c9740b18835b80c9740c18835b80c9740d18835b80c9740e18835b80c9740f18835b80c9741018835b80c974111800"_hex_v_u8, {{849296, 46869}, {7600, 605}, {7600, 605}, {7600, 605}, {7600, 605}, {7600, 605}, {7600, 605}, {7600, 605}, {7600, 605}, {7600, 605}, {7600, 605}, {7600, 605}, {7600, 605}, {7600, 605}, {7600, 605}, {7600, 605}, {7600, 605}, {7600, 605}, {7600, 605}, {7600, 605}, {7600, 605}, {7600, 605}, {7600, 605}, {7600, 605}, {7600, 605}});
+    TestOptimalLinearization("80886c99f50c00835df5600000835df5600100835df5600200835df5600300835df5600400835df5600500835df5600600835df5600700835df5600800835df5600900835df5600a00835df5600b00835df5600c00835df5600d00835df5600e00835df5600f00835df5601000835df5601100835df5601200835df5601300835df5601400835df5601500835df5601600835df5601700836880cd78180080895badcb740018835b80c9740018835b80c9740118835b80c9740218835b80c9740318835b80c9740418835b80c9740518835b80c9740618835b80c9740718835b80c9740818835b80c9740918835b80c9740a18835b80c9740b18835b80c9740c18835b80c9740d18835b80c9740e18835b80c9740f18835b80c9741018835b80c974111800"_hex_u8, {0, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24});
-    TestOptimalLinearization("8514d518008344be3800008514d51801008344be3800018514d51801018514d51800028344be3801028344be3801028514d51802028344be3800048514d51801048344be3800058514d51801058514d51800068344be3801068344be3801068514d51802068344be3800088514d51801088344be3800098514d51801098514d518000a00"_hex_v_u8, {{5516, 788}, {4060, 580}, {5516, 788}, {4060, 580}, {5516, 788}, {4060, 580}, {5516, 788}, {4060, 580}, {5516, 788}, {4060, 580}, {5516, 788}, {4060, 580}, {5516, 788}, {4060, 580}, {5516, 788}, {4060, 580}, {5516, 788}, {4060, 580}, {5516, 788}, {4060, 580}, {5516, 788}, {5516, 788}});
+    TestOptimalLinearization("8514d518008344be3800008514d51801008344be3800018514d51801018514d51800028344be3801028344be3801028514d51802028344be3800048514d51801048344be3800058514d51801058514d51800068344be3801068344be3801068514d51802068344be3800088514d51801088344be3800098514d51801098514d518000a00"_hex_u8, {0, 1, 2, 3, 4, 6, 5, 7, 8, 9, 10, 11, 12, 14, 13, 15, 16, 17, 18, 19, 20, 21});
-    TestOptimalLinearization("8442922e009069bd3a0000872d9c1a010083618f5e010183618f5e020183618f5e030183618f5e040183618f5e050183618f5e060183618f5e070183618f5e080183618f5e09019743a36609018442922e0a01835f8610010b835f8610020b835f8610030b835f8610040b835f8610050b835f8610060b835f8610070b835f8610080b835f8610090b835f86100a0b835f86100b0b835f86100c0b8442d82a0c0b8441e332001700"_hex_v_u8, {{16489, 3892}, {13636, 7762}, {7827, 10423}});
+    TestOptimalLinearization("8442922e009069bd3a0000872d9c1a010083618f5e010183618f5e020183618f5e030183618f5e040183618f5e050183618f5e060183618f5e070183618f5e080183618f5e09019743a36609018442922e0a01835f8610010b835f8610020b835f8610030b835f8610040b835f8610050b835f8610060b835f8610070b835f8610080b835f8610090b835f86100a0b835f86100b0b835f86100c0b8442d82a0c0b8441e332001700"_hex_u8, {0, 11, 25, 26, 27, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24});
-    TestOptimalLinearization("9420928e2c008368f11a0000c52488dd700000834acf100000834acf100100834acf100200834acf100300834acf100400834acf100500834acf100600834acf100700834acf100800834acf100900834acf100a00834acf100b00834acf100c00834acf100d00834acf100e00834acf100f00834acf101000834acf101100834acf101200834acf101300834acf10140000"_hex_v_u8, {{156630, 2720}, {7309, 616}, {79800, 8996}, {5128, 586}, {5128, 586}, {5128, 586}, {5128, 586}, {5128, 586}, {5128, 586}, {5128, 586}, {5128, 586}, {5128, 586}, {5128, 586}, {5128, 586}, {5128, 586}, {5128, 586}, {5128, 586}, {5128, 586}, {5128, 586}, {5128, 586}, {5128, 586}, {5128, 586}, {5128, 586}, {5128, 586}});
+    TestOptimalLinearization("9420928e2c008368f11a0000c52488dd700000834acf100000834acf100100834acf100200834acf100300834acf100400834acf100500834acf100600834acf100700834acf100800834acf100900834acf100a00834acf100b00834acf100c00834acf100d00834acf100e00834acf100f00834acf101000834acf101100834acf101200834acf101300834acf10140000"_hex_u8, {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23});
-    TestOptimalLinearization("9d2c83920200856cf66200008570f7280100856bf65202008567f60c03008563f54604008572f74c0500856ef7060600856af6400700856af64008008561f52209008566f57a0a008566f57a0b008575f8000c008571f73a0d008571f73a0e00856df6740f00856df67410008565f56811008561f522120000"_hex_v_u8, {{102774, 11745}, {7569, 865}, {7569, 865}, {7604, 869}, {7674, 877}, {7674, 877}, {7709, 881}, {7709, 881}, {7744, 885}, {7665, 876}, {7700, 880}});
+    TestOptimalLinearization("9d2c83920200856cf66200008570f7280100856bf65202008567f60c03008563f54604008572f74c0500856ef7060600856af6400700856af64008008561f52209008566f57a0a008566f57a0b008575f8000c008571f73a0d008571f73a0e00856df6740f00856df67410008565f56811008561f522120000"_hex_u8, {0, 5, 4, 3, 11, 12, 8, 9, 7, 6, 10, 19, 18, 16, 17, 14, 15, 13, 1, 2});
-    TestOptimalLinearization("854e80806600854e80806600008368e25000008462f54200008368e50601008463f8340001854e80b25c010000854e80b606000183688089400001846280a3620001854e80c00401000083688095520001846280b21c000100"_hex_v_u8, {{120967, 9647}});
+    TestOptimalLinearization("854e80806600854e80806600008368e25000008462f54200008368e50601008463f8340001854e80b25c010000854e80b606000183688089400001846280a3620001854e80c00401000083688095520001846280b21c000100"_hex_u8, {0, 1, 2, 4, 5, 3, 6, 7, 8, 10, 11, 12, 9});
-    TestOptimalLinearization("836186101483618872001583608842001584508d74001583618812011500"_hex_v_u8, {{2652, 2546}, {585, 609}});
+    TestOptimalLinearization("836186101483618872001583608842001584508d74001583618812011500"_hex_u8, {24, 0, 1, 2, 3});
-    TestOptimalLinearization("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"_hex_v_u8, {{450290, 291274}});
+    TestOptimalLinearization("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"_hex_u8, {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60});
-    TestOptimalLinearization("a34c88ff6400835c80a4140000835c80a4140100835c80a4140200835c80a4140300835c80a4140400835c80a4140500835c80a4140600835c80a4140700835c80a4140800835c80a4140900835c80a4140a00835c80a4140b00835c80a4140c00835c80a4140d00835c80a4140e00835c80a4140f00835c80a414100000"_hex_v_u8, {{81970, 4684}, {10570, 604}, {10570, 604}, {10570, 604}, {10570, 604}, {10570, 604}, {10570, 604}, {10570, 604}, {10570, 604}, {10570, 604}, {10570, 604}, {10570, 604}, {10570, 604}, {10570, 604}, {10570, 604}, {10570, 604}, {10570, 604}, {10570, 604}});
+    TestOptimalLinearization("a34c88ff6400835c80a4140000835c80a4140100835c80a4140200835c80a4140300835c80a4140400835c80a4140500835c80a4140600835c80a4140700835c80a4140800835c80a4140900835c80a4140a00835c80a4140b00835c80a4140c00835c80a4140d00835c80a4140e00835c80a4140f00835c80a414100000"_hex_u8, {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17});
-    TestOptimalLinearization("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"_hex_v_u8, {{82550, 6601}, {136779, 19257}, {12190, 1724}, {3399, 561}, {3390, 565}, {5567, 1109}, {2178, 437}, {2584, 573}, {27411, 6674}, {23563, 5932}, {2458, 721}, {4916, 1443}, {86513, 26559}, {1720, 529}, {2496, 768}, {4170, 1288}, {30286, 10050}, {3308, 1107}, {1466, 534}, {1455, 530}, {5420, 2104}, {1506, 670}});
+    TestOptimalLinearization("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"_hex_u8, {5, 29, 19, 30, 23, 26, 34, 27, 38, 42, 10, 36, 24, 33, 35, 22, 41, 31, 32, 11, 12, 16, 17, 18, 7, 9, 40, 39, 37, 3, 0, 1, 2, 6, 8, 20, 21, 25, 28, 13, 14, 15, 4});
-    TestOptimalLinearization("83689e4c0085599314000083689e4c0100864cc014010185599314010183689e4c0201864cc014010300"_hex_v_u8, {{2022, 616}, {2022, 616}, {2022, 616}, {5460, 1829}, {5460, 1829}});
+    TestOptimalLinearization("83689e4c0085599314000083689e4c0100864cc014010185599314010183689e4c0201864cc014010300"_hex_u8, {0, 3, 6, 1, 2, 4, 5});
-    TestOptimalLinearization("81c47cafb03400835bd8540000835bd8540100835bd8540200835bd8540300835bd8540400835bd8540500835bd8540600835bd8540700835bd8540800835bd8540900835bd8540a00835bd8540b00835bd8540c00835bd8540d00835bd8540e00835bd8540f00835bd8541000835bd8541100835bd8541200835bd8541300835bd8541400835bd8541500835bd8541600835bd8541700835bd8541800835bd8541900835bd8541a00835bd8541b00835bd8541c00835bd8541d00835bd8541e00835bd8541f00835bd8542000835bd8542100835bd8542200835bd8542300835bd8542400835bd8542500835bd8542600835bd8542700835bd8542800835bd8542900835bd8542a0000"_hex_v_u8, {{643112, 67653}});
+    TestOptimalLinearization("81c47cafb03400835bd8540000835bd8540100835bd8540200835bd8540300835bd8540400835bd8540500835bd8540600835bd8540700835bd8540800835bd8540900835bd8540a00835bd8540b00835bd8540c00835bd8540d00835bd8540e00835bd8540f00835bd8541000835bd8541100835bd8541200835bd8541300835bd8541400835bd8541500835bd8541600835bd8541700835bd8541800835bd8541900835bd8541a00835bd8541b00835bd8541c00835bd8541d00835bd8541e00835bd8541f00835bd8542000835bd8542100835bd8542200835bd8542300835bd8542400835bd8542500835bd8542600835bd8542700835bd8542800835bd8542900835bd8542a0000"_hex_u8, {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43});
-    TestOptimalLinearization("83359d2c0083359d2c000083359d2c000283359d2c000283359d2c000200"_hex_v_u8, {{1942, 565}, {1942, 565}, {1942, 565}, {1942, 565}, {1942, 565}});
+    TestOptimalLinearization("83359d2c0083359d2c000083359d2c000283359d2c000283359d2c000200"_hex_u8, {3, 4, 0, 1, 2});
-    TestOptimalLinearization("a335b4af0400832f85b3280000832f85b3280100832f85b3280200832f85b3280300832f85b3280400832f85b3280500832f85b3280600832f85b3280700832f85b3280800832f85b3280900832f85b3280a00832f85b3280b00832f85b3280c00832f85b3280d00832f85b3280e00832f85b3280f00832f85b3281000832f85b328110000"_hex_v_u8, {{1382250, 14723}});
+    TestOptimalLinearization("a335b4af0400832f85b3280000832f85b3280100832f85b3280200832f85b3280300832f85b3280400832f85b3280500832f85b3280600832f85b3280700832f85b3280800832f85b3280900832f85b3280a00832f85b3280b00832f85b3280c00832f85b3280d00832f85b3280e00832f85b3280f00832f85b3281000832f85b328110000"_hex_u8, {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18});
-    TestOptimalLinearization("833284fd3a00833581fc3801823684d50e02833181fb500383358695480480d77881b6f12005857c89bf7c0681a21d82999c300780d81d81b3ec6808844581a474098332899a7e0909833185bb04090984398190380809823587ae06070982358ddc1e080982368688220909823585cb000a09823586b3120b09823687aa6e0a0982359bf34a0b09823592ed040b09860880af480f05833286e0460b1d833185ba620b1c833288e64a0b1a833188a270022a833186bb5e0228833e89976a0225833186eb0a012b8332898512012783358a9130012d823986ff5a012883358a8f00012fed4996937e04020b000000000000000100"_hex_v_u8, {{272375, 2247}, {438299, 3939}, {46471, 438}, {353620, 3397}, {58788, 565}, {2916860, 29954}, {86078, 892}, {3665780, 38152}, {2692854, 28242}, {18810, 709}, {189759, 14153}, {11300, 904}});
+    TestOptimalLinearization("833284fd3a00833581fc3801823684d50e02833181fb500383358695480480d77881b6f12005857c89bf7c0681a21d82999c300780d81d81b3ec6808844581a474098332899a7e0909833185bb04090984398190380809823587ae06070982358ddc1e080982368688220909823585cb000a09823586b3120b09823687aa6e0a0982359bf34a0b09823592ed040b09860880af480f05833286e0460b1d833185ba620b1c833288e64a0b1a833188a270022a833186bb5e0228833e89976a0225833186eb0a012b8332898512012783358a9130012d823986ff5a012883358a8f00012fed4996937e04020b000000000000000100"_hex_u8, {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 20, 24, 22, 23, 25, 26, 28, 27, 29, 30, 31, 32, 33});
-    TestOptimalLinearization("883180ae7800a37a81cc480001a37a81cc480100a37a81cc480204835aaa160101835aaa160102835aaa160301835aaa160401835aaa160501835aaa160601835aaa160602835aaa160900835aaa160901835aaa160a01835aaa160b01835aaa160c01835aaa160c02835aaa160e01835aaa160f01835aaa160f02835aaa161101835aaa161201835aaa161301835aaa161401835aaa161600835aaa161700835aaa161800835aaa161702835aaa161802835aaa161902835aaa161c00835aaa161b02835aaa161e0000"_hex_v_u8, {{11260, 1201}, {62793, 13760}, {43452, 9546}, {37926, 8342}});
+    TestOptimalLinearization("883180ae7800a37a81cc480001a37a81cc480100a37a81cc480204835aaa160101835aaa160102835aaa160301835aaa160401835aaa160501835aaa160601835aaa160602835aaa160900835aaa160901835aaa160a01835aaa160b01835aaa160c01835aaa160c02835aaa160e01835aaa160f01835aaa160f02835aaa161101835aaa161201835aaa161301835aaa161401835aaa161600835aaa161700835aaa161800835aaa161702835aaa161802835aaa161902835aaa161c00835aaa161b02835aaa161e0000"_hex_u8, {1, 2, 5, 7, 8, 9, 10, 13, 14, 15, 16, 18, 19, 21, 22, 23, 24, 4, 6, 11, 17, 20, 28, 29, 30, 32, 0, 12, 25, 26, 27, 31, 33});
-    TestOptimalLinearization("a25c81b56200832fa5000000832fa5000100832fa5000200832fa5000300832fa5000400832fa5000500832fa5000600832fa5000700832fa5000800832fa5000900832fa5000a00832fa5000b00832fa5000c00832fa5000d00832fa5000e00832fa5000f00832fa5001000832fa5001100832fa5001200832fa5001300832fa500140000"_hex_v_u8, {{70961, 16311}});
+    TestOptimalLinearization("a25c81b56200832fa5000000832fa5000100832fa5000200832fa5000300832fa5000400832fa5000500832fa5000600832fa5000700832fa5000800832fa5000900832fa5000a00832fa5000b00832fa5000c00832fa5000d00832fa5000e00832fa5000f00832fa5001000832fa5001100832fa5001200832fa5001300832fa500140000"_hex_u8, {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21});
-    TestOptimalLinearization("8368d63c00b273aaf80001842dec5e0101854e829f0201018f6681fb320103854e828b060300019e228ea20a0202835aea780206835aea780306835aea780406835aea780506835aea780606835aea780706835aea780806835aea780906835aea780a06842dec720a05836281a96a0a04836281a96a0b04836281a96a0c04836281a96a0d04836281a96a0e04836281a96a0f04836281a96a1004836281a96a1104836281a96a1204836281a96a1304836281a96a1404836281a96a1504836281a96a1604836281a96a1704836281a96a1804836281a96a1904836281a96a1a04836281a96a1b04836281a96a1c049d1e84a95e132200"_hex_v_u8, {{360000, 6643}, {26625, 846}, {488500, 15592}, {30945, 1462}, {93540, 8253}, {50728, 4555}});
+    TestOptimalLinearization("8368d63c00b273aaf80001842dec5e0101854e829f0201018f6681fb320103854e828b060300019e228ea20a0202835aea780206835aea780306835aea780406835aea780506835aea780606835aea780706835aea780806835aea780906835aea780a06842dec720a05836281a96a0a04836281a96a0b04836281a96a0c04836281a96a0d04836281a96a0e04836281a96a0f04836281a96a1004836281a96a1104836281a96a1204836281a96a1304836281a96a1404836281a96a1504836281a96a1604836281a96a1704836281a96a1804836281a96a1904836281a96a1a04836281a96a1b04836281a96a1c049d1e84a95e132200"_hex_u8, {12, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 0, 13, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 14, 15});
-    TestOptimalLinearization("80de6ebba3280081a442d1976601990e86a22a02996686ba6a0381cb6bdcce060480e358beea3205823590802e0506847480cb6c06058241e47a0705845280a22e0805824180ab2c09058241e5120a05854580fd100b05833580b34e0b058235919c180c05833280b8080d05823593c3700b0586048189660c05906383fd600d0582358db5100d0582358087700e05823a8088400f058242e47a10058241eb4016008235ec001304874f81ec4a1701860881896608198a77829b761700000e900f83e20e160002000300"_hex_v_u8, {{644225, 29540}, {935163, 43040}, {822655, 38007}, {641121, 29709}, {23397, 1103}, {11844, 562}, {11559, 565}, {8760, 437}, {8800, 442}, {16264, 837}, {17075, 900}, {17075, 904}, {40880, 2275}, {39111, 2191}, {59605, 3342}, {61173, 3430}, {13110, 756}, {26427, 1527}, {6976, 437}, {6944, 449}, {6537, 449}, {6525, 449}, {6525, 450}, {10455, 722}});
+    TestOptimalLinearization("80de6ebba3280081a442d1976601990e86a22a02996686ba6a0381cb6bdcce060480e358beea3205823590802e0506847480cb6c06058241e47a0705845280a22e0805824180ab2c09058241e5120a05854580fd100b05833580b34e0b058235919c180c05833280b8080d05823593c3700b0586048189660c05906383fd600d0582358db5100d0582358087700e05823a8088400f058242e47a10058241eb4016008235ec001304874f81ec4a1701860881896608198a77829b761700000e900f83e20e160002000300"_hex_u8, {1, 0, 5, 15, 16, 8, 10, 20, 21, 28, 11, 9, 22, 23, 7, 17, 18, 19, 25, 12, 13, 2, 14, 27, 26, 6, 3, 24, 4});
-    TestOptimalLinearization("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"_hex_v_u8, {{96480, 4675}, {48240, 2338}, {48240, 2338}, {482080, 23373}, {12400, 609}, {12400, 610}, {12400, 610}});
+    TestOptimalLinearization("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"_hex_u8, {0, 1, 2, 3, 4, 5, 18, 19, 20, 27, 28, 29, 10, 21, 30, 6, 8, 12, 14, 22, 32, 33, 11, 26, 15, 23, 35, 7, 16, 9, 17, 38, 13, 31, 34, 41, 24, 25, 37, 39, 36, 40, 42, 43, 44});
-    TestOptimalLinearization("818e6ca18c5000834fc8700001834fc8700100834fc8700200834fc8700300834fc8700400834fc8700500834fc8700600834fc8700700834fc8700800834fc8700900834fc8700a00834fc8700b00834fc8700c00834fc8700d00834fc8700e00834fc8700f00834fc8701000834fc8701100834fc8701200834fc8701300834fc8701400834fc8701500834fc8701600834fc8701700834fc8701800834fc8701900834fc8701a00834fc8701b00834fc8701c00834fc8701d00834fc8701e00834fc8701f00834fc8702000834fc8702100834fc8702200834fc8702300834fc8702400834fc8702500834fc8702600834fc8702700834fc870280000"_hex_v_u8, {{279400, 34796}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}});
+    TestOptimalLinearization("818e6ca18c5000834fc8700001834fc8700100834fc8700200834fc8700300834fc8700400834fc8700500834fc8700600834fc8700700834fc8700800834fc8700900834fc8700a00834fc8700b00834fc8700c00834fc8700d00834fc8700e00834fc8700f00834fc8701000834fc8701100834fc8701200834fc8701300834fc8701400834fc8701500834fc8701600834fc8701700834fc8701800834fc8701900834fc8701a00834fc8701b00834fc8701c00834fc8701d00834fc8701e00834fc8701f00834fc8702000834fc8702100834fc8702200834fc8702300834fc8702400834fc8702500834fc8702600834fc8702700834fc870280000"_hex_u8, {1, 0, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41});
-    TestOptimalLinearization("8442872600c61981fd680000835a8c420000835a8c420100835a8c420200835a8c420300835a8c420400835a8c420500835a8c420600835a8c420700835a8c420800835a8c420900835a8c420a00835a8c420b00835a8c420c00835a8c420d00835a8c420e00835a8c420f00835a8c421000835a8c421100835a8c421200835a8c421300835a8c421400835a8c421500835a8c421600835a8c421700835a8c42180000"_hex_v_u8, {{25031, 9819}, {865, 602}, {865, 602}, {865, 602}, {865, 602}, {865, 602}, {865, 602}, {865, 602}, {865, 602}, {865, 602}, {865, 602}, {865, 602}, {865, 602}, {865, 602}, {865, 602}, {865, 602}, {865, 602}, {865, 602}, {865, 602}, {865, 602}, {865, 602}, {865, 602}, {865, 602}, {865, 602}, {865, 602}, {865, 602}});
+    TestOptimalLinearization("8442872600c61981fd680000835a8c420000835a8c420100835a8c420200835a8c420300835a8c420400835a8c420500835a8c420600835a8c420700835a8c420800835a8c420900835a8c420a00835a8c420b00835a8c420c00835a8c420d00835a8c420e00835a8c420f00835a8c421000835a8c421100835a8c421200835a8c421300835a8c421400835a8c421500835a8c421600835a8c421700835a8c42180000"_hex_u8, {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26});
-    TestOptimalLinearization("8540e74000833180831801875dd14e00000000"_hex_v_u8, {{8460, 561}, {6688, 832}, {5287, 1117}});
+    TestOptimalLinearization("8540e74000833180831801875dd14e00000000"_hex_u8, {1, 0, 2});
-    TestOptimalLinearization("808a5292d06800835ad3780000835ad3780100835ad3780200835ad3780300835ad3780400835ad3780500835ad3780600835ad3780700835ad3780800835ad3780900835ad3780a00835ad3780b00835ad3780c00835ad3780d00835ad3780e00835ad3780f00835ad3781000835ad3781100835ad3781200835ad3781300835ad3781400835ad3781500835ad3781600835ad3781700835ad3781800835ad3781900835ad3781a00835ad3781b00835ad3781c0000"_hex_v_u8, {{318528, 35332}});
+    TestOptimalLinearization("808a5292d06800835ad3780000835ad3780100835ad3780200835ad3780300835ad3780400835ad3780500835ad3780600835ad3780700835ad3780800835ad3780900835ad3780a00835ad3780b00835ad3780c00835ad3780d00835ad3780e00835ad3780f00835ad3781000835ad3781100835ad3781200835ad3781300835ad3781400835ad3781500835ad3781600835ad3781700835ad3781800835ad3781900835ad3781a00835ad3781b00835ad3781c0000"_hex_u8, {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29});
-    TestOptimalLinearization("8a0d8a54008368843000008a0d8a5401008368843000018a0d8a54010000836884300001996cc3320100008a449d1e00018d20a37e01000000"_hex_v_u8, {{11949, 12847}});
+    TestOptimalLinearization("8a0d8a54008368843000008a0d8a5401008368843000018a0d8a54010000836884300001996cc3320100008a449d1e00018d20a37e01000000"_hex_u8, {0, 1, 2, 3, 4, 6, 7, 5, 8});
-    TestOptimalLinearization("80ba1386a6640080c14d86cc1001809b10858b500280927684e2580380e9458893680480b6538695240580bb2086ac2006942981e1240000000000000000900e819b3a0100000000000000e2528bf6420200000000000000854dca54020200"_hex_v_u8, {{565214, 183924}});
+    TestOptimalLinearization("80ba1386a6640080c14d86cc1001809b10858b500280927684e2580380e9458893680480b6538695240580bb2086ac2006942981e1240000000000000000900e819b3a0100000000000000e2528bf6420200000000000000854dca54020200"_hex_u8, {1, 3, 4, 5, 0, 2, 6, 9, 7, 10, 8});
-    TestOptimalLinearization("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"_hex_v_u8, {{920592, 51098}});
+    TestOptimalLinearization("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"_hex_u8, {1, 0, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45});
-    TestOptimalLinearization("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"_hex_v_u8, {{2460632, 356111}, {9539, 1398}, {2999, 561}});
+    TestOptimalLinearization("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"_hex_u8, {10, 15, 20, 23, 25, 24, 26, 28, 37, 38, 14, 12, 0, 4, 36, 21, 1, 2, 6, 7, 29, 30, 31, 32, 34, 35, 39, 3, 5, 33, 9, 27, 13, 16, 18, 11, 17, 19, 8, 22});
-    TestOptimalLinearization("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"_hex_v_u8, {{2799, 616}, {2799, 616}, {2799, 616}, {2799, 616}, {2799, 616}, {2799, 616}, {4869, 1076}, {1555, 616}, {1555, 616}, {42540, 16995}, {39460, 15765}});
+    TestOptimalLinearization("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"_hex_u8, {0, 1, 2, 3, 4, 5, 6, 7, 29, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48});
-    TestOptimalLinearization("854887862000854887862000008548878a0000008548878a0000008548878d6000008548879520000000"_hex_v_u8, {{397920, 5040}});
+    TestOptimalLinearization("854887862000854887862000008548878a0000008548878a0000008548878d6000008548879520000000"_hex_u8, {0, 1, 2, 3, 4, 5});
-    TestOptimalLinearization("8331f924008336fa1400008331f70e00008335f56200008331ee3000008336ef1600008335e17c00008335df62000000"_hex_v_u8, {{7826, 561}, {7882, 566}, {7687, 561}, {7601, 565}, {7128, 561}, {7179, 566}, {6334, 565}, {6193, 565}});
+    TestOptimalLinearization("8331f924008336fa1400008331f70e00008335f56200008331ee3000008336ef1600008335e17c00008335df62000000"_hex_u8, {0, 1, 2, 3, 4, 5, 6, 7});
-    TestOptimalLinearization("808962829f2c0083628d2c000183628d2c010183628d2c020083628d2c030083628d2c040083628d2c050083628d2c060083628d2c070083628d2c080083628d2c090083628d2c0a0083628d2c0b0083628d2c0c0083628d2c0d0083628d2c0e0083628d2c0f0083628d2c100083628d2c110083628d2c120083628d2c130083628d2c140083628d2c150083628d2c160083628d2c170083628d2c180083628d2c190083628d2c1a0083628d2c1b0083628d2c1c0083628d2c1d0083628d2c1e0083628d2c1f0083628d2c200083628d2c210083628d2c220083628d2c230083628d2c240083628d2c250083628d2c260000"_hex_v_u8, {{62448, 41552}});
+    TestOptimalLinearization("808962829f2c0083628d2c000183628d2c010183628d2c020083628d2c030083628d2c040083628d2c050083628d2c060083628d2c070083628d2c080083628d2c090083628d2c0a0083628d2c0b0083628d2c0c0083628d2c0d0083628d2c0e0083628d2c0f0083628d2c100083628d2c110083628d2c120083628d2c130083628d2c140083628d2c150083628d2c160083628d2c170083628d2c180083628d2c190083628d2c1a0083628d2c1b0083628d2c1c0083628d2c1d0083628d2c1e0083628d2c1f0083628d2c200083628d2c210083628d2c220083628d2c230083628d2c240083628d2c250083628d2c260000"_hex_u8, {2, 0, 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39});
-    TestOptimalLinearization("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"_hex_v_u8, {{22491, 574}, {83836, 9123}, {72635, 9291}, {6944, 892}, {74024, 9613}, {77864, 10309}, {57207, 7689}, {51363, 6931}, {50808, 6964}, {41279, 5818}, {42972, 6497}, {8845, 1395}, {2825, 449}, {17265, 2817}, {4843, 845}, {4843, 845}, {3966, 710}, {4588, 836}, {4588, 838}, {5954, 1139}, {166740, 33283}, {4170, 837}, {2800, 574}, {7749, 1700}, {2613, 574}, {32469, 7383}, {2790, 764}, {1953, 561}, {714, 574}, {586, 752}, {633, 846}, {623, 834}});
+    TestOptimalLinearization("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"_hex_u8, {3, 28, 29, 50, 51, 30, 31, 40, 53, 43, 58, 0, 2, 4, 12, 48, 14, 11, 47, 56, 19, 45, 46, 34, 52, 36, 37, 38, 20, 21, 22, 23, 13, 16, 17, 49, 44, 54, 32, 35, 39, 24, 25, 41, 42, 26, 15, 5, 6, 7, 55, 8, 10, 9, 59, 33, 57, 1, 18, 27});
-    TestOptimalLinearization("a25c82906c00835fb17e0000835fb17e0100835fb17e0200835fb17e0300835fb17e0400835fb17e0500835fb17e0600835fb17e0700835fb17e0800835fb17e0900835fb17e0a00835fb17e0b00835fb17e0c00835fb17e0d00835fb17e0e00835fb17e0f00835fb17e1000835fb17e1100835fb17e1200835fb17e1300835fb17e140000"_hex_v_u8, {{25718, 4572}, {3263, 607}, {3263, 607}, {3263, 607}, {3263, 607}, {3263, 607}, {3263, 607}, {3263, 607}, {3263, 607}, {3263, 607}, {3263, 607}, {3263, 607}, {3263, 607}, {3263, 607}, {3263, 607}, {3263, 607}, {3263, 607}, {3263, 607}, {3263, 607}, {3263, 607}, {3263, 607}, {3263, 607}});
+    TestOptimalLinearization("a25c82906c00835fb17e0000835fb17e0100835fb17e0200835fb17e0300835fb17e0400835fb17e0500835fb17e0600835fb17e0700835fb17e0800835fb17e0900835fb17e0a00835fb17e0b00835fb17e0c00835fb17e0d00835fb17e0e00835fb17e0f00835fb17e1000835fb17e1100835fb17e1200835fb17e1300835fb17e140000"_hex_u8, {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21});
-    TestOptimalLinearization("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"_hex_v_u8, {{26297, 1728}, {26297, 1736}, {139807, 9456}, {8990, 610}, {68514, 4674}, {35240, 2406}, {26660, 1828}, {8835, 610}, {8294, 578}, {8151, 578}, {8008, 577}, {8008, 578}, {8008, 579}, {8008, 582}, {8008, 583}, {8370, 610}, {8008, 587}, {7722, 578}});
+    TestOptimalLinearization("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"_hex_u8, {0, 1, 2, 3, 5, 6, 4, 7, 8, 9, 10, 11, 13, 14, 12, 15, 16, 17, 18, 19, 22, 23, 24, 20, 21, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 41, 40, 42});
-    TestOptimalLinearization("a44d9db27a00824081e92c0000824081e92c0100824081e92c0200824081e92c0300824081e92c0400824081e92c0500824081e92c0600824081e92c070000"_hex_v_u8, {{434605, 8397}});
+    TestOptimalLinearization("a44d9db27a00824081e92c0000824081e92c0100824081e92c0200824081e92c0300824081e92c0400824081e92c0500824081e92c0600824081e92c070000"_hex_u8, {0, 1, 2, 3, 4, 5, 6, 7, 8});
-    TestOptimalLinearization("880180cf2200829428c7e9180000831ce0040000831ce0040100831ce0040200831ce0040300831ce004040000"_hex_v_u8, {{13329, 1153}, {596620, 51880}, {6210, 540}, {6210, 540}, {6210, 540}, {6210, 540}, {6210, 540}});
+    TestOptimalLinearization("880180cf2200829428c7e9180000831ce0040000831ce0040100831ce0040200831ce0040300831ce004040000"_hex_u8, {0, 1, 2, 3, 4, 5, 6});
-    TestOptimalLinearization("f90bc0b7520080840cc7e7780194268aae4602823581931c0202823681931c0302857882dc2e0402857c82de400502823581911c0602860482e26407028236819f1e0802823984a6160902823681a11e0a02860082e55a0b02847082c60a0c02847482c60a0d02847482c60a0e02826684a6160f02847082b8721002824180f0721102852282a8341202850082af001302823681bf201402823581bf201402823681bf201502823681b9701602847c83df681702823581b1201802857882e55a1902860882b0401a02823681c9221b02852982b0241c02847c82e6781d02850082b32a1f01823983b1521e028235819b1e20018235a5441e208242848b1a1c1f8242889a3819238a4485a45424000a823480e96408218a4c85a4542500028d07e0bb1a1100000500001900"_hex_v_u8, {{2320269, 40741}, {38964, 764}, {21137, 438}, {20152, 438}, {19600, 437}, {18447, 438}, {18191, 437}, {31228, 764}, {129164, 3167}, {17678, 437}, {17678, 438}, {28281, 752}, {27925, 768}, {27648, 768}, {31149, 888}, {51562, 1476}, {31149, 896}, {51562, 1484}, {15481, 449}, {30551, 888}, {30688, 892}, {30962, 900}, {42756, 1245}, {27226, 802}, {27744, 904}, {2466, 437}});
+    TestOptimalLinearization("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"_hex_u8, {23, 24, 25, 0, 9, 17, 22, 10, 12, 5, 11, 14, 15, 16, 27, 28, 33, 26, 30, 8, 41, 35, 38, 39, 1, 2, 18, 37, 21, 31, 29, 13, 40, 19, 3, 4, 7, 34, 36, 20, 32, 6});
-    TestOptimalLinearization("8361a17a008430a138000000"_hex_v_u8, {{2237, 609}, {2204, 688}});
+    TestOptimalLinearization("8361a17a008430a138000000"_hex_u8, {0, 1});
-    TestOptimalLinearization("fc7d88962000f93b87f516018a50809c6401018235a10402018235f65203018236cd1004018a4c80bb6405018235956e06018604de2c07018332fc480801847cdc0009018336fc700a018a50809e340b0182418c540c01831dcf020d01893c809f400d018470df300e018474dc640f01857cdd4010018802c83811018608dc00120183159a0a14008578dc0015008600dc001501823acf7c0e15857cf12412128336b6760a14926881943019000400"_hex_v_u8, {{171970, 27015}, {134824, 24317}, {2178, 437}, {4700, 1154}, {1463, 437}, {1733, 533}, {874, 449}});
+    TestOptimalLinearization("fc7d88962000f93b87f516018a50809c6401018235a10402018235f65203018236cd1004018a4c80bb6405018235956e06018604de2c07018332fc480801847cdc0009018336fc700a018a50809e340b0182418c540c01831dcf020d01893c809f400d018470df300e018474dc640f01857cdd4010018802c83811018608dc00120183159a0a14008578dc0015008600dc001501823acf7c0e15857cf12412128336b6760a14926881943019000400"_hex_u8, {0, 3, 8, 10, 11, 4, 15, 5, 12, 9, 13, 1, 7, 26, 16, 18, 19, 17, 23, 21, 27, 24, 20, 2, 22, 6, 25, 14});
-    TestOptimalLinearization("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"_hex_v_u8, {{933840, 51880}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}, {9666, 537}});
+    TestOptimalLinearization("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"_hex_u8, {1, 0, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54});
-    TestOptimalLinearization("870180db6e00841580832400008416808d5400008416eb7800008416808d54000000"_hex_v_u8, {{14135, 1025}, {17596, 1323}, {16102, 1324}});
+    TestOptimalLinearization("870180db6e00841580832400008416808d5400008416eb7800008416808d54000000"_hex_u8, {0, 1, 2, 3, 4});
-    TestOptimalLinearization("818f1c85840c0083208b08000083208b08010083208b08020083208b08030083208b08040083208b08050083208b08060083208b08070083208b08080083208b08090083208b080a0083208b080b0083208b080c0083208b080d0083208b080e0083208b080f0083208b08100083208b08110083208b08120083208b08130083208b08140083208b08150083208b08160000"_hex_v_u8, {{49478, 34844}, {772, 544}, {772, 544}, {772, 544}, {772, 544}, {772, 544}, {772, 544}, {772, 544}, {772, 544}, {772, 544}, {772, 544}, {772, 544}, {772, 544}, {772, 544}, {772, 544}, {772, 544}, {772, 544}, {772, 544}, {772, 544}, {772, 544}, {772, 544}, {772, 544}, {772, 544}, {772, 544}});
+    TestOptimalLinearization("818f1c85840c0083208b08000083208b08010083208b08020083208b08030083208b08040083208b08050083208b08060083208b08070083208b08080083208b08090083208b080a0083208b080b0083208b080c0083208b080d0083208b080e0083208b080f0083208b08100083208b08110083208b08120083208b08130083208b08140083208b08150083208b08160000"_hex_u8, {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23});
-    TestOptimalLinearization("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"_hex_v_u8, {{1406632, 29465}, {1934192, 40603}, {1338143, 28094}, {1360813, 28571}, {1479376, 31139}, {1261329, 26621}, {19665, 437}, {241164, 5561}, {18572, 442}, {22861, 562}, {16988, 442}, {54538, 1431}, {31485, 837}, {26700, 710}, {26317, 712}, {38797, 1075}, {15863, 449}, {24695, 721}, {65610, 1936}, {30260, 905}, {14896, 449}, {16038, 485}, {14702, 450}, {14689, 450}, {18701, 574}, {18439, 566}, {82250, 2648}, {40755, 1410}, {12019, 438}, {12250, 449}, {26939, 1007}, {35776, 1380}, {11457, 442}, {11519, 449}, {11475, 450}, {28383, 1117}, {14226, 562}, {11138, 449}, {40677, 1784}, {121204, 6276}});
+    TestOptimalLinearization("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"_hex_u8, {28, 29, 31, 0, 2, 36, 37, 6, 7, 18, 20, 19, 46, 47, 30, 14, 15, 48, 54, 38, 27, 35, 40, 1, 26, 5, 25, 24, 10, 22, 32, 4, 3, 49, 12, 8, 33, 16, 11, 13, 41, 39, 50, 51, 53, 52, 23, 21, 34, 9, 17, 42, 43, 44, 45});
-    TestOptimalLinearization("80ba43afe456008b358582100180c16cb587240280d261c0c11a0380d924bbc75c04833180ad5805900e84e9260682359b9b5c060782398087040706823598f2560606823599eb60050684788199680606823594a33c0805823580a95e0905854081f70c0d02824183c8280e028eb06183c190480b00058a7183aa0c0a000400ad428fc3340d000000000800"_hex_v_u8, {{49352, 1589}, {692467, 25721}, {711083, 27542}, {655101, 25377}, {716126, 28377}, {10927, 437}, {18100, 760}, {135450, 5954}, {94469, 4272}, {8706, 441}, {4736100, 252129}});
+    TestOptimalLinearization("80ba43afe456008b358582100180c16cb587240280d261c0c11a0380d924bbc75c04833180ad5805900e84e9260682359b9b5c060782398087040706823598f2560606823599eb60050684788199680606823594a33c0805823580a95e0905854081f70c0d02824183c8280e028eb06183c190480b00058a7183aa0c0a000400ad428fc3340d000000000800"_hex_u8, {3, 1, 0, 14, 13, 6, 11, 4, 5, 7, 8, 12, 9, 10, 17, 16, 18, 2, 15});
-    TestOptimalLinearization("a25c86f87e008362808722000083628087220100836280872202008362808722030083628087220400836280872205008362808722060083628087220700836280872208008362808722090083628087220a0083628087220b0083628087220c0083628087220d0083628087220e0083628087220f008362808722100083628087221100836280872212008362808722130000"_hex_v_u8, {{239571, 16772}});
+    TestOptimalLinearization("a25c86f87e008362808722000083628087220100836280872202008362808722030083628087220400836280872205008362808722060083628087220700836280872208008362808722090083628087220a0083628087220b0083628087220c0083628087220d0083628087220e0083628087220f008362808722100083628087221100836280872212008362808722130000"_hex_u8, {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20});
-    TestOptimalLinearization("864a828f7a008b6384a51401854181d76c02833180e754038431819c3a04892a87a42205894587ba5c06853981d44607861c81ca2c0107857881bb3a010785008193000306823582ee280505854e81ec5a0a000a853581e22c0014896183d36c0007000007833e80f734000e860481c37000098642829e5c0106078a588398500108854181e744010f9659899c24000707843a81ac70000e857881b50e010c860481fb26020788358393240210833180f7420012843e81b51a0011874082e014000807853581ea0a000f853681ea0a000f833e80fc66000e833580f924000e833580fe4c000d00"_hex_v_u8, {{99621, 1759}, {69358, 1349}, {594899, 21560}, {24339, 900}, {20792, 900}, {17664, 768}, {34408, 1496}, {21206, 924}, {20253, 888}, {19847, 888}});
+    TestOptimalLinearization("864a828f7a008b6384a51401854181d76c02833180e754038431819c3a04892a87a42205894587ba5c06853981d44607861c81ca2c0107857881bb3a010785008193000306823582ee280505854e81ec5a0a000a853581e22c0014896183d36c0007000007833e80f734000e860481c37000098642829e5c0106078a588398500108854181e744010f9659899c24000707843a81ac70000e857881b50e010c860481fb26020788358393240210833180f7420012843e81b51a0011874082e014000807853581ea0a000f853681ea0a000f833e80fc66000e833580f924000e833580fe4c000d00"_hex_u8, {9, 31, 12, 1, 5, 6, 19, 4, 0, 2, 3, 7, 8, 10, 11, 13, 14, 15, 16, 18, 20, 21, 22, 24, 25, 27, 32, 28, 29, 30, 17, 26, 23});
-    TestOptimalLinearization("818e6ca18c5000834fc8700001834fc8700100834fc8700200834fc8700300834fc8700400834fc8700500834fc8700600834fc8700700834fc8700800834fc8700900834fc8700a00834fc8700b00834fc8700c00834fc8700d00834fc8700e00834fc8700f00834fc8701000834fc8701100834fc8701200834fc8701300834fc8701400834fc8701500834fc8701600834fc8701700834fc8701800834fc8701900834fc8701a00834fc8701b00834fc8701c00834fc8701d00834fc8701e00834fc8701f00834fc8702000834fc8702100834fc8702200834fc8702300834fc8702400834fc8702500834fc8702600834fc870270000"_hex_v_u8, {{279400, 34796}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}, {4728, 591}});
+    TestOptimalLinearization("818e6ca18c5000834fc8700001834fc8700100834fc8700200834fc8700300834fc8700400834fc8700500834fc8700600834fc8700700834fc8700800834fc8700900834fc8700a00834fc8700b00834fc8700c00834fc8700d00834fc8700e00834fc8700f00834fc8701000834fc8701100834fc8701200834fc8701300834fc8701400834fc8701500834fc8701600834fc8701700834fc8701800834fc8701900834fc8701a00834fc8701b00834fc8701c00834fc8701d00834fc8701e00834fc8701f00834fc8702000834fc8702100834fc8702200834fc8702300834fc8702400834fc8702500834fc8702600834fc870270000"_hex_u8, {1, 0, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40});
-    TestOptimalLinearization("c7128ac61a00837ae46e0000837ae46e0100837ae46e0200837ae46e0300837ae46e0400837ae46e0500837ae46e0600837ae46e0700837ae46e0800837ae46e0900837ae46e0a00837ae46e0b00837ae46e0c00837ae46e0d00837ae46e0e00837ae46e0f00837ae46e1000837ae46e1100837ae46e1200837ae46e1300837ae46e1400837ae46e1500837ae46e1600837ae46e1700837ae46e1800837ae46e1900837ae46e1a00837ae46e1b00837ae46e1c00837ae46e1d00837ae46e1e0000"_hex_v_u8, {{296758, 28888}});
+    TestOptimalLinearization("c7128ac61a00837ae46e0000837ae46e0100837ae46e0200837ae46e0300837ae46e0400837ae46e0500837ae46e0600837ae46e0700837ae46e0800837ae46e0900837ae46e0a00837ae46e0b00837ae46e0c00837ae46e0d00837ae46e0e00837ae46e0f00837ae46e1000837ae46e1100837ae46e1200837ae46e1300837ae46e1400837ae46e1500837ae46e1600837ae46e1700837ae46e1800837ae46e1900837ae46e1a00837ae46e1b00837ae46e1c00837ae46e1d00837ae46e1e0000"_hex_u8, {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31});
-    TestOptimalLinearization("8440881a0084408c5e000000"_hex_v_u8, {{1468, 1408}});
+    TestOptimalLinearization("8440881a0084408c5e000000"_hex_u8, {0, 1});
-    TestOptimalLinearization("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"_hex_v_u8, {{1006076, 56244}});
+    TestOptimalLinearization("a22d80e478008e4be10000008e4be42e00029031f0120002903284fe200000d25c9b8d380000835b80c71c0002835b80c71c0102835b80c71c0202835b80c71c0300835b80c71c0400835b80c71c0500835b80c71c0600835b80c71c0700835b80c71c0800835b80c71c0900835b80c71c0a00835b80c71c0b00835b80c71c0c00835b80c71c0d00835b80c71c0e00835b80c71c0f00835b80c71c1000835b80c71c1100835b80c71c1200835b80c71c1300835b80c71c1400835b80c71c1500835b80c71c1600835b80c71c1700835b80c71c1800835b80c71c1900835b80c71c1a00835b80c71c1b00835b80c71c1c00835b80c71c1d00835b80c71c1e00835b80c71c1f00835b80c71c2000835b80c71c2100835b80c71c2200835b80c71c2300835b80c71c2400835b80c71c2500835b80c71c2600835b80c71c2700835b80c71c2800835b80c71c2900835b80c71c2a00835b80c71c2b00835b80c71c2c00835b80c71c2d00835b80c71c2e00835b80c71c2f00835b80c71c3000835b80c71c3100835b80c71c3200835b80c71c3300835b80c71c3400835b80c71c350000"_hex_u8, {2, 3, 0, 1, 7, 8, 4, 5, 6, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59});
-    TestOptimalLinearization("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"_hex_v_u8, {{50602, 4526}, {196414, 18533}, {7980, 755}, {23898, 2262}, {15918, 1509}, {23856, 2262}, {15580, 1509}, {7790, 755}, {7790, 755}, {7790, 755}, {7790, 755}, {2977, 441}, {8832, 2202}});
+    TestOptimalLinearization("8472e52e008473e52e018473e52e028473e52e038472e52e048472f85c058472e77405058472e52e05058473e52e05058473e52e05058473e52e05058472fe0005058472ef1e050f8473809e14050e8473e874050d8239ad42060d8473809e14060c8472e874060b8472fb58060a847280b024061a847280837406188473e674061684738083740514847280b91405128473fb580424847380cd24031e8472fb58031a8472f85c03178473fb58032b8473f85c03238472f85c031e847380ab14031a8472f85c03318472f85c03288473fe0003228473fb58031d8472f85c03378473f85c011d8473f85c031c8472808028023c8472f85c021e8473f85c021f8473f85c01208473f85c00218e0b81d3280a03010514901a8089000c000502020800"_hex_u8, {29, 30, 31, 32, 33, 34, 0, 1, 2, 3, 4, 5, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 22, 23, 24, 25, 28, 35, 36, 37, 38, 26, 27, 6, 7, 8, 40, 42, 41, 43, 44, 45, 20, 39});
-    TestOptimalLinearization("8361c74a0084a108cec45c0000831cbe5e0000831cbe5e0100831cbe5e0200831cbe5e0300831cbe5e0400831cbe5e0500831cbe5e0600831cbe5e0700831cbe5e0800831cbe5e0900831cbe5e0a00831cbe5e0b00831cbe5e0c00831cbe5e0d00831cbe5e0e00831cbe5e0f00831cbe5e1000831cbe5e1100831cbe5e1200831cbe5e1300831cbe5e1400831cbe5e1500831cbe5e1600831cbe5e1700831cbe5e1800831cbe5e1900831cbe5e1a00831cbe5e1b00831cbe5e1c00831cbe5e1d00831cbe5e1e00831cbe5e1f00831cbe5e2000831cbe5e2100831cbe5e2200831cbe5e2300831cbe5e2400831cbe5e2500831cbe5e2600831cbe5e270000"_hex_v_u8, {{4645, 609}, {814790, 107880}});
+    TestOptimalLinearization("8361c74a0084a108cec45c0000831cbe5e0000831cbe5e0100831cbe5e0200831cbe5e0300831cbe5e0400831cbe5e0500831cbe5e0600831cbe5e0700831cbe5e0800831cbe5e0900831cbe5e0a00831cbe5e0b00831cbe5e0c00831cbe5e0d00831cbe5e0e00831cbe5e0f00831cbe5e1000831cbe5e1100831cbe5e1200831cbe5e1300831cbe5e1400831cbe5e1500831cbe5e1600831cbe5e1700831cbe5e1800831cbe5e1900831cbe5e1a00831cbe5e1b00831cbe5e1c00831cbe5e1d00831cbe5e1e00831cbe5e1f00831cbe5e2000831cbe5e2100831cbe5e2200831cbe5e2300831cbe5e2400831cbe5e2500831cbe5e2600831cbe5e270000"_hex_u8, {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41});
-    TestOptimalLinearization("8431e564008369a158018369a15c028369a162038550ae20048369a17a058501a94a068501a946078430e72e088369a178098500a93a0a842fe5640b8502a9360c8501a8740d83699f5a0e8431e5640f8431e564108369a144118550ae2211118737ba280a118369a178081183699f5a051183699e4605118374b1601204891ec536060b0682199b70021582199b70041482199b7006138540ab7c031a853fab76001db6219ddc1007000000000100000000000000000000001e00"_hex_v_u8, {{327699, 22688}, {3248, 628}, {1848, 409}, {1848, 409}, {1848, 409}, {2210, 617}, {10260, 2973}});
+    TestOptimalLinearization("8431e564008369a158018369a15c028369a162038550ae20048369a17a058501a94a068501a946078430e72e088369a178098500a93a0a842fe5640b8502a9360c8501a8740d83699f5a0e8431e5640f8431e564108369a144118550ae2211118737ba280a118369a178081183699f5a051183699e4605118374b1601204891ec536060b0682199b70021582199b70041482199b7006138540ab7c031a853fab76001db6219ddc1007000000000100000000000000000000001e00"_hex_u8, {10, 14, 1, 19, 21, 7, 12, 15, 5, 4, 3, 2, 6, 8, 9, 13, 16, 11, 17, 18, 20, 22, 0, 27, 28, 29, 30, 23, 24, 25, 26});
-    TestOptimalLinearization("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"_hex_v_u8, {{133936, 1817}, {876600, 19178}, {627930, 13760}, {545040, 11954}, {213480, 4730}});
+    TestOptimalLinearization("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"_hex_u8, {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 29, 32, 34, 36, 39, 43, 44, 45, 46, 48, 49, 51, 52, 53, 55, 28, 31, 33, 35, 37, 38, 40, 41, 42, 47, 50, 54, 56, 30});
-    TestOptimalLinearization("836884c43c00a30da899200000847285dd280000856c86e6180100853586aa700200846085c6400300853586aa70040085168686300500853a86af38060085238694080700844f85b4200800853b86af380900850985f8580a00850185ef480b00853d86b4000c00853c86af380d00855d86d8400e00853e86b4000f00845985c1781000846485cb081100844c85af581200853e86b4001300845085b420140000"_hex_v_u8, {{45406, 616}, {1043316, 14258}, {52560, 719}, {58692, 803}, {60444, 827}, {52268, 716}, {52560, 720}, {53728, 736}, {54020, 740}, {60444, 828}, {63948, 876}});
+    TestOptimalLinearization("836884c43c00a30da899200000847285dd280000856c86e6180100853586aa700200846085c6400300853586aa70040085168686300500853a86af38060085238694080700844f85b4200800853b86af380900850985f8580a00850185ef480b00853d86b4000c00853c86af380d00855d86d8400e00853e86b4000f00845985c1781000846485cb081100844c85af581200853e86b4001300845085b420140000"_hex_u8, {0, 1, 18, 13, 12, 4, 6, 14, 16, 2, 7, 8, 17, 21, 10, 9, 11, 20, 22, 5, 19, 15, 3});
-    TestOptimalLinearization("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"_hex_v_u8, {{25744, 6035}, {2422, 601}, {61527, 21962}, {43202, 25453}, {899, 2420}, {205, 617}, {205, 617}, {205, 617}});
+    TestOptimalLinearization("8369821a008369821a0185018272028369821a038369821a0485018272058431892e0685018272078369821a088431892e09850182720a850182720b855083280c855083280d8369821a0e8369821a0f8369821a108369821a1185028272128369821a138369821a148369821a1585508328168369821a17823d834a188369821a198369821a1a8369821a1b855083281c8430892e1d842f892e1e843086101f8369821a208369821a0e338369821a1b208b0586542218860b8a381a208550832811208e538870111d8550832809208737843609208369821a09208369821a1c0d8369821a09498369821a032b8369821a032a8369821a0b2283699e5a04298369821a032c9d7181ea04012d8369821a012f8359a46c012e8369821a0131833983380034bc5285e37a110000110000000000000000000000000020bf6983b65e09000200000400000000000000000000100900"_hex_u8, {18, 49, 53, 54, 55, 8, 13, 14, 1, 3, 5, 6, 9, 11, 19, 20, 21, 17, 4, 7, 10, 15, 16, 12, 22, 39, 37, 42, 32, 23, 25, 27, 28, 30, 33, 34, 35, 43, 44, 45, 26, 29, 36, 38, 24, 40, 41, 31, 46, 48, 51, 52, 50, 0, 2, 47});
-    TestOptimalLinearization("8089328682520083329b52000083329b52010083329b52020083329b52030083329b52040083329b52050083329b52060083329b52070083329b52080083329b52090083329b520a0083329b520b0083329b520c0083329b520d0083329b520e0083329b520f0083329b52100083329b52110083329b52120083329b52130083329b52140083329b52150083329b52160083329b52170083329b52180083329b52190083329b521a0083329b521b0083329b521c0083329b521d0083329b521e0000"_hex_v_u8, {{114400, 35136}});
+    TestOptimalLinearization("8089328682520083329b52000083329b52010083329b52020083329b52030083329b52040083329b52050083329b52060083329b52070083329b52080083329b52090083329b520a0083329b520b0083329b520c0083329b520d0083329b520e0083329b520f0083329b52100083329b52110083329b52120083329b52130083329b52140083329b52150083329b52160083329b52170083329b52180083329b52190083329b521a0083329b521b0083329b521c0083329b521d0083329b521e0000"_hex_u8, {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31});
-    TestOptimalLinearization("872d8f58009928c064000089509a400000895d99700100860d90680200860a905e03008655921c0400872b936e0500857f904006008603904a07008608905408008602904a0900861f91100a00862591240b0000"_hex_v_u8, {{20428, 16489}});
+    TestOptimalLinearization("872d8f58009928c064000089509a400000895d99700100860d90680200860a905e03008655921c0400872b936e0500857f904006008603904a07008608905408008602904a0900861f91100a00862591240b0000"_hex_u8, {0, 1, 2, 4, 13, 6, 11, 5, 3, 8, 9, 12, 7, 10});
-    TestOptimalLinearization("8472cf14008472cf14018472cf14028473cf1402028473cf1401028472cf1403018472cf1401098472cf1403068473cf1402048473cf1402058473cf1402068472cf1402068472cf1402078472cf1402088473cf1402088472cf1402098473cf14020a8472cf14020a8472cf14010d8473cf14030b8473cf14020cb42181bf200d00010e8473cf14020e8472cf14040d8472cf14030e8472cf1402108473cf1402118473cf1402118473cf1402128472cf1402138472cf140213886f80845e090b01148473cf1402158472cf1404148472cf1403158472cf1402188472cf1402178473cf1402188472cf14021b8473cf14001b00"_hex_v_u8, {{5130, 754}, {5130, 754}, {5130, 754}, {5130, 754}, {25650, 3772}, {61560, 9053}, {46170, 6790}, {30780, 4527}, {5130, 755}, {5130, 755}, {29055, 8080}});
+    TestOptimalLinearization("8472cf14008472cf14018472cf14028473cf1402028473cf1401028472cf1403018472cf1401098472cf1403068473cf1402048473cf1402058473cf1402068472cf1402068472cf1402078472cf1402088473cf1402088472cf1402098473cf14020a8472cf14020a8472cf14010d8473cf14030b8473cf14020cb42181bf200d00010e8473cf14020e8472cf14040d8472cf14030e8472cf1402108473cf1402118473cf1402118473cf1402128472cf1402138472cf140213886f80845e090b01148473cf1402158472cf1404148472cf1403158472cf1402188472cf1402178473cf1402188472cf14021b8473cf14001b00"_hex_u8, {1, 4, 5, 8, 6, 0, 9, 13, 16, 2, 3, 10, 14, 17, 18, 23, 26, 29, 31, 33, 35, 12, 15, 19, 21, 24, 27, 30, 34, 36, 20, 22, 25, 28, 32, 37, 38, 39, 7, 11});
-    TestOptimalLinearization("808967889a74008367a77400018367a77401008367a77402008367a77403008367a77404008367a77405008367a77406008367a77407008367a77408008367a77409008367a7740a008367a7740b008367a7740c008367a7740d008367a7740e008367a7740f008367a77410008367a77411008367a77412008367a77413008367a77414008367a77415008367a77416008367a77417008367a77418008367a77419008367a7741a008367a7741b008367a7741c008367a7741d0000"_hex_v_u8, {{154054, 36217}});
+    TestOptimalLinearization("808967889a74008367a77400018367a77401008367a77402008367a77403008367a77404008367a77405008367a77406008367a77407008367a77408008367a77409008367a7740a008367a7740b008367a7740c008367a7740d008367a7740e008367a7740f008367a77410008367a77411008367a77412008367a77413008367a77414008367a77415008367a77416008367a77417008367a77418008367a77419008367a7741a008367a7741b008367a7741c008367a7741d0000"_hex_u8, {1, 0, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30});
-    TestOptimalLinearization("8335b816008335c44c00008335c44c00008331c40c00008335c44c00008335c44c00008335c44c00008335c44c0000833dc54800008335c44c00008331c40c00008335c44c00008335c44c00008335c44c00008335c44c00008335c44c0000833dc54800008331c40c00008331c40c00008335c44c00008335c44c00008335c44c00008335c44c000000"_hex_v_u8, {{101643, 12995}});
+    TestOptimalLinearization("8335b816008335c44c00008335c44c00008331c40c00008335c44c00008335c44c00008335c44c00008335c44c0000833dc54800008335c44c00008331c40c00008335c44c00008335c44c00008335c44c00008335c44c00008335c44c0000833dc54800008331c40c00008331c40c00008335c44c00008335c44c00008335c44c00008335c44c000000"_hex_u8, {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22});
-    TestOptimalLinearization("89c0788087d818008448c72800008448c72801008448c72802008448c72803008448c72804008448c72805008448c72806008448c72807008448c72808008448c72809008448c7280a008448c7280b008448c7280c008448c7280d008448c7280e008448c7280f008448c72810008448c72811008448c72812008448c72813008448c72814008448c72815008448c72816008448c72817008448c72818008448c72819008448c7281a008448c7281b008448c7281c008448c7281d008448c7281e008448c7281f008448c72820008448c72821008448c72822008448c728230000"_hex_v_u8, {{1119820, 172280}, {4628, 712}, {4628, 712}, {4628, 712}, {4628, 712}, {4628, 712}, {4628, 712}, {4628, 712}, {4628, 712}, {4628, 712}, {4628, 712}, {4628, 712}, {4628, 712}, {4628, 712}, {4628, 712}, {4628, 712}, {4628, 712}, {4628, 712}, {4628, 712}, {4628, 712}, {4628, 712}, {4628, 712}, {4628, 712}, {4628, 712}, {4628, 712}, {4628, 712}, {4628, 712}, {4628, 712}, {4628, 712}, {4628, 712}, {4628, 712}, {4628, 712}, {4628, 712}, {4628, 712}, {4628, 712}, {4628, 712}, {4628, 712}});
+    TestOptimalLinearization("89c0788087d818008448c72800008448c72801008448c72802008448c72803008448c72804008448c72805008448c72806008448c72807008448c72808008448c72809008448c7280a008448c7280b008448c7280c008448c7280d008448c7280e008448c7280f008448c72810008448c72811008448c72812008448c72813008448c72814008448c72815008448c72816008448c72817008448c72818008448c72819008448c7281a008448c7281b008448c7281c008448c7281d008448c7281e008448c7281f008448c72820008448c72821008448c72822008448c728230000"_hex_u8, {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36});
-    TestOptimalLinearization("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"_hex_v_u8, {{2075276, 38979}, {2283550, 42896}, {1937047, 36390}, {1473556, 27686}, {23320, 441}, {22996, 449}, {34161, 708}, {21037, 437}, {21037, 438}, {52893, 1107}, {20492, 437}, {20492, 437}, {20492, 438}, {20492, 438}, {20492, 438}, {32490, 721}, {21489, 485}, {37048, 845}, {28811, 708}, {17527, 441}, {16970, 442}, {16988, 450}, {21456, 574}, {15963, 441}, {27152, 764}, {15413, 449}, {135287, 4031}, {59862, 1792}, {14960, 449}, {35776, 1123}, {121446, 3848}, {28198, 896}, {26313, 844}, {17469, 562}, {27798, 900}, {25020, 837}, {16890, 566}, {21450, 720}, {107879, 3689}, {19648, 721}, {45100, 1662}, {24408, 904}, {29835, 1107}, {23968, 892}, {12950, 548}, {33576, 1553}, {77700, 5974}});
+    TestOptimalLinearization("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"_hex_u8, {28, 32, 0, 2, 10, 13, 17, 20, 24, 59, 11, 57, 58, 56, 48, 52, 53, 51, 54, 55, 14, 47, 49, 23, 31, 36, 6, 50, 29, 43, 45, 12, 15, 16, 3, 9, 4, 34, 35, 5, 7, 8, 22, 27, 21, 41, 25, 26, 1, 30, 33, 44, 18, 46, 42, 19, 37, 38, 39});
-    TestOptimalLinearization("8368aa5e008368aa5e018368aa5e028368aa5e038368aa5e0483689726058368aa5e05058368aa5e05058368aa5e05058368aa5e05058368aa5e05058368aa5e05058368972608038368aa5e010b854ea024080005a35780b638020ba35780b638010e83679708010d83679708020d83679708030d83679708040d83679708050d83679708060d83679708070d83679708080d83679708090d836797080a0d836797080b0d836797080c0d836797080d0d836797080e0d854eba7414001c836797080f1d83679708101d83679708111d83679708121d83679708131d83679708141d83679708151d83679708161d83679708171d83679708181d83679708191d836797081a1d836797081b1d836797081c1d836797081d1d836797081e1d836797081f1d83679708201d83679708211d8734cb0a2a0000308734cf280013112600"_hex_v_u8, {{2799, 616}, {2799, 616}, {2799, 616}, {2799, 616}, {2799, 616}, {2799, 616}, {2799, 616}, {2799, 616}, {2799, 616}, {2799, 616}, {3834, 846}, {4869, 1076}, {12293, 2924}, {1555, 616}, {2130, 846}, {41000, 16380}, {33300, 13305}});
+    TestOptimalLinearization("8368aa5e008368aa5e018368aa5e028368aa5e038368aa5e0483689726058368aa5e05058368aa5e05058368aa5e05058368aa5e05058368aa5e05058368aa5e05058368972608038368aa5e010b854ea024080005a35780b638020ba35780b638010e83679708010d83679708020d83679708030d83679708040d83679708050d83679708060d83679708070d83679708080d83679708090d836797080a0d836797080b0d836797080c0d836797080d0d836797080e0d854eba7414001c836797080f1d83679708101d83679708111d83679708121d83679708131d83679708141d83679708151d83679708161d83679708171d83679708181d83679708191d836797081a1d836797081b1d836797081c1d836797081d1d836797081e1d836797081f1d83679708201d83679708211d8734cb0a2a0000308734cf280013112600"_hex_u8, {0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 6, 12, 13, 14, 15, 37, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52});
-    TestOptimalLinearization("8361ee3400877f80d86401877e80d864028362ee3403877e80d86404877e80d86405877e80d864068362ee34078341e5640707877e80d86408078362ee3408078362ee340807877f80d86408078346e56409078361ee3409078361ee340907877f80f97608078342e56409078361ee340b068361ee340918877e80f51809178346e5640a178360f80c0a168342e5640b168362ee340b158361f80c0a148341e5640b148361fa420b138342e5640c138361fa420a118341e5640b118343e5640b2c8361fa420c2c8361fa420a288341ee5c0b288361fa420a268342e5640b268361fa420b238343ee5c0c23877e80f5180b218343f07a0c21877f80f5180b1c8343f07a0c1c8341f07a0a42877e80f5180b42877f80f5180b3b8341f07a0c3b877e80f5180b378342f07a0c37877f80f5180b338341f07a0c33877f819a421e0a2d877f819a420a1511877f819b2c031921877e819a42061121877e819a42090c3b877e819a420b0737877e819a4203141600"_hex_v_u8, {{263296, 19845}, {267965, 20479}, {7293, 577}, {7293, 577}, {7293, 577}, {7293, 578}, {7293, 579}, {7293, 579}, {7150, 577}, {7150, 579}, {6578, 577}, {6578, 578}, {6578, 582}});
+    TestOptimalLinearization("8361ee3400877f80d86401877e80d864028362ee3403877e80d86404877e80d86405877e80d864068362ee34078341e5640707877e80d86408078362ee3408078362ee340807877f80d86408078346e56409078361ee3409078361ee340907877f80f97608078342e56409078361ee340b068361ee340918877e80f51809178346e5640a178360f80c0a168342e5640b168362ee340b158361f80c0a148341e5640b148361fa420b138342e5640c138361fa420a118341e5640b118343e5640b2c8361fa420c2c8361fa420a288341ee5c0b288361fa420a268342e5640b268361fa420b238343ee5c0c23877e80f5180b218343f07a0c21877f80f5180b1c8343f07a0c1c8341f07a0a42877e80f5180b42877f80f5180b3b8341f07a0c3b877e80f5180b378342f07a0c37877f80f5180b338341f07a0c33877f819a421e0a2d877f819a420a1511877f819b2c031921877e819a42061121877e819a42090c3b877e819a420b0737877e819a4203141600"_hex_u8, {31, 47, 8, 0, 32, 33, 34, 35, 51, 52, 53, 9, 10, 48, 49, 1, 12, 56, 50, 54, 11, 39, 57, 2, 13, 40, 3, 5, 7, 41, 42, 43, 14, 15, 16, 17, 22, 23, 24, 25, 26, 28, 30, 45, 46, 4, 21, 6, 18, 36, 27, 44, 55, 19, 37, 38, 20, 29});
-    TestOptimalLinearization("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"_hex_v_u8, {{59807, 6900}, {10201, 1286}, {5422, 837}, {173248, 27774}, {454202, 73978}, {39260, 7429}, {5967, 1134}, {13266, 2536}, {37285, 7306}, {61944, 14794}, {1792, 450}, {68941, 17522}, {5610, 1496}, {2112, 565}, {1575, 450}, {1960, 561}, {2920, 836}, {1568, 449}, {3855, 1105}, {1971, 565}, {1957, 561}, {2920, 838}, {2912, 836}, {7642, 2250}});
+    TestOptimalLinearization("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"_hex_u8, {16, 45, 17, 24, 29, 9, 11, 10, 20, 5, 6, 0, 1, 8, 21, 28, 2, 4, 31, 49, 37, 25, 42, 32, 44, 46, 47, 34, 33, 35, 36, 43, 38, 39, 40, 41, 48, 3, 15, 30, 14, 27, 13, 22, 23, 12, 7, 18, 19, 26});
-    TestOptimalLinearization("81903fc9ee3800819170cfe6520180d334bef35002819540d0d4480380da6ebdd94a0482359094100405823580a7120504823589bd760504847c819d100504823585f11c060482358d8d6a0604823589c62e0604823580b5520704a51586dd5008000000000000"_hex_v_u8, {{784665, 36085}, {764717, 35881}, {611877, 29016}, {598334, 28389}, {747940, 35621}, {63400, 4885}});
+    TestOptimalLinearization("81903fc9ee3800819170cfe6520180d334bef35002819540d0d4480380da6ebdd94a0482359094100405823580a7120504823589bd760504847c819d100504823585f11c060482358d8d6a0604823589c62e0604823580b5520704a51586dd5008000000000000"_hex_u8, {8, 9, 1, 0, 2, 10, 11, 12, 5, 7, 6, 3, 4, 13});
-    TestOptimalLinearization("808963829f2c0083638d2c000183638d2c010083638d2c020083638d2c030083638d2c040083638d2c050083638d2c060083638d2c070083638d2c080083638d2c090083638d2c0a0083638d2c0b0083638d2c0c0083638d2c0d0083638d2c0e0083638d2c0f0083638d2c100083638d2c110083638d2c120083638d2c130083638d2c140083638d2c150083638d2c160083638d2c170083638d2c180083638d2c190083638d2c1a0083638d2c1b0083638d2c1c0083638d2c1d0083638d2c1e0083638d2c1f0083638d2c200083638d2c210083638d2c220000"_hex_v_u8, {{58776, 39148}});
+    TestOptimalLinearization("808963829f2c0083638d2c000183638d2c010083638d2c020083638d2c030083638d2c040083638d2c050083638d2c060083638d2c070083638d2c080083638d2c090083638d2c0a0083638d2c0b0083638d2c0c0083638d2c0d0083638d2c0e0083638d2c0f0083638d2c100083638d2c110083638d2c120083638d2c130083638d2c140083638d2c150083638d2c160083638d2c170083638d2c180083638d2c190083638d2c1a0083638d2c1b0083638d2c1c0083638d2c1d0083638d2c1e0083638d2c1f0083638d2c200083638d2c210083638d2c220000"_hex_u8, {1, 0, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35});
-    TestOptimalLinearization("8d29889718008368809064018368809064028d1386db10020292618bd5080302846380ac380301846380ac38030283688090640307854e80c6580500038360b8540403824182812a0503844682b6300603846380ac38040e8368809064050e8368809064050b846380ac38060a842ebf400609846380ac38031683688090640415846380ac380410846380ac38011a854e80c65802030b846380ac3800108368809064010e846280ac38000f8368809064010d846280ac38000e8368809064010e846380ac38000f00"_hex_v_u8, {{203813, 4811}, {28120, 710}, {63240, 1811}, {9330, 616}, {9330, 616}, {9330, 616}, {9330, 616}, {9330, 616}, {62880, 4156}, {11100, 738}, {11100, 738}, {11100, 739}, {11100, 739}, {11100, 739}, {11100, 739}, {11100, 739}, {11100, 739}, {11100, 739}, {11100, 739}, {11100, 739}, {3690, 608}, {4128, 686}});
+    TestOptimalLinearization("8d29889718008368809064018368809064028d1386db10020292618bd5080302846380ac380301846380ac38030283688090640307854e80c6580500038360b8540403824182812a0503844682b6300603846380ac38040e8368809064050e8368809064050b846380ac38060a842ebf400609846380ac38031683688090640415846380ac380410846380ac38011a854e80c65802030b846380ac3800108368809064010e846280ac38000f8368809064010d846280ac38000e8368809064010e846380ac38000f00"_hex_u8, {0, 6, 23, 24, 1, 2, 4, 7, 9, 10, 11, 12, 17, 21, 25, 27, 22, 26, 3, 5, 8, 13, 14, 15, 16, 18, 28, 19, 20});
-    TestOptimalLinearization("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"_hex_v_u8, {{248259, 59175}, {180475, 43031}, {27624, 6624}, {167256, 41844}, {116449, 30424}, {3113, 832}, {1547, 441}, {4029, 1155}, {1540, 442}, {1957, 562}, {1756, 565}, {2260, 904}, {6555, 5133}});
+    TestOptimalLinearization("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"_hex_u8, {7, 0, 13, 3, 8, 9, 14, 4, 11, 1, 5, 6, 12, 2, 10, 15, 28, 16, 30, 29, 17, 22, 26, 18, 20, 62, 24, 25, 27, 23, 21, 19, 33, 31, 32, 34, 36, 37, 47, 38, 39, 42, 41, 40, 43, 44, 45, 46, 35, 55, 54, 61, 52, 53, 56, 51, 57, 58, 59, 60, 48, 49, 50});
-    TestOptimalLinearization("c554baaa4600835c82fa220000835c82fa220100835c82fa220200835c82fa220300835c82fa220400835c82fa220500835c82fa220600835c82fa220700835c82fa220800835c82fa220900835c82fa220a0000"_hex_v_u8, {{486115, 9044}, {32465, 604}, {32465, 604}, {32465, 604}, {32465, 604}, {32465, 604}, {32465, 604}, {32465, 604}, {32465, 604}, {32465, 604}, {32465, 604}, {32465, 604}});
+    TestOptimalLinearization("c554baaa4600835c82fa220000835c82fa220100835c82fa220200835c82fa220300835c82fa220400835c82fa220500835c82fa220600835c82fa220700835c82fa220800835c82fa220900835c82fa220a0000"_hex_u8, {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11});
-    TestOptimalLinearization("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"_hex_v_u8, {{188460, 36250}, {175929, 34601}, {161920, 31928}, {182991, 36239}, {179050, 35516}, {176697, 35119}, {179744, 35778}, {194089, 38639}, {169428, 33733}, {7480, 1492}, {19140, 3821}, {4170, 836}, {4150, 832}, {2795, 562}, {2090, 442}, {3400, 760}, {5913, 1950}, {1778, 789}, {765, 438}, {438, 438}, {563, 565}, {1130, 1135}, {392, 442}, {375, 437}, {370, 437}, {1122, 1360}, {14637, 19470}, {532, 708}, {576, 768}, {624, 833}, {1317, 1759}});
+    TestOptimalLinearization("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"_hex_u8, {0, 25, 3, 1, 8, 9, 48, 6, 7, 30, 39, 40, 44, 4, 5, 46, 50, 13, 15, 37, 26, 27, 38, 10, 11, 12, 16, 23, 14, 32, 41, 34, 18, 22, 28, 29, 20, 24, 49, 47, 35, 45, 31, 19, 17, 2, 36, 33, 42, 21, 43});
-    TestOptimalLinearization("836880ed0e00d724a0e46400008430818630000084308186300100842c81846c02008430818630030084308186300400842c81846c0500842c81846c060084308186300700842c81846c080084308186300900842c81846c0a0084308186300b0084308186300c0084308186300d00842c81846c0e00842c81846c0f0084308186301000842c81846c11008430818630120000"_hex_v_u8, {{15239, 616}, {276850, 11300}, {16758, 684}, {16758, 684}, {16758, 684}, {16758, 684}, {16758, 684}, {16758, 684}, {16758, 684}, {16758, 684}, {16856, 688}, {16856, 688}, {16856, 688}, {16856, 688}, {16856, 688}, {16856, 688}, {16856, 688}, {16856, 688}, {16856, 688}, {16856, 688}, {16856, 688}});
+    TestOptimalLinearization("836880ed0e00d724a0e46400008430818630000084308186300100842c81846c02008430818630030084308186300400842c81846c0500842c81846c060084308186300700842c81846c080084308186300900842c81846c0a0084308186300b0084308186300c0084308186300d00842c81846c0e00842c81846c0f0084308186301000842c81846c11008430818630120000"_hex_u8, {0, 1, 4, 7, 8, 10, 12, 16, 17, 19, 2, 3, 5, 6, 9, 11, 13, 14, 15, 18, 20});
-    TestOptimalLinearization("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"_hex_v_u8, {{119706, 15443}, {6467, 892}, {178169, 24786}, {6244, 888}, {6328, 904}, {10202, 1480}, {10202, 1480}, {2947, 438}, {8112, 1352}, {2306, 438}, {90860, 18386}, {7194, 1484}, {3512, 834}, {5610, 1488}, {3272, 1003}, {1281, 437}, {1025, 438}, {1025, 449}, {1756, 832}, {2019, 966}, {926, 530}, {10968, 7073}});
+    TestOptimalLinearization("d02a82c24800fe6b84ff6001de7983ff08028235930202028578e04803028336915204028a48809e3405028474829172060285409a3807028474e30c08028a48809e34090283128d3c0a0283118d3c0b028608e1700c028948fd600d02857ce4060e028a5880aa140e028542b5700f028a4480a70e100282359f0412018600e44012028600e8001302b62180aa301402854182ad48150282368f0216028a4cef3417028a50d65418028500ee761a018600e4401a028236a3041b0286538292241d018578eb021e01823684fe6c1e028235a9061e028478f1241f02857cee4020028474dd4021028236ad0623018235a50423028241f41824028235a104250282418f0225238a5480a83c2800188235900a1e20824181834e181e82359f3e270f8a5080b9002b01078241a9060d2700"_hex_u8, {0, 5, 33, 29, 7, 35, 20, 32, 14, 15, 36, 25, 23, 16, 19, 18, 21, 30, 2, 12, 4, 9, 44, 13, 31, 37, 46, 41, 43, 42, 39, 38, 40, 45, 47, 27, 17, 28, 3, 34, 1, 26, 8, 6, 11, 22, 10, 24});
-    TestOptimalLinearization("80896681da040083668b04000183668b04010083668b04020083668b04030083668b04040083668b04050083668b04060083668b04070083668b04080083668b04090083668b040a0083668b040b0083668b040c0083668b040d0083668b040e0083668b040f0083668b04100083668b04110083668b04120083668b04130083668b04140083668b04150083668b04160083668b04170083668b04180083668b04190083668b041a0083668b041b0083668b041c0083668b041d0083668b041e0083668b041f0083668b04200083668b04210083668b04220083668b04230083668b04240083668b04250083668b04260083668b04270083668b04280083668b04290083668b042a0083668b042b0000"_hex_v_u8, {{56090, 44782}});
+    TestOptimalLinearization("80896681da040083668b04000183668b04010083668b04020083668b04030083668b04040083668b04050083668b04060083668b04070083668b04080083668b04090083668b040a0083668b040b0083668b040c0083668b040d0083668b040e0083668b040f0083668b04100083668b04110083668b04120083668b04130083668b04140083668b04150083668b04160083668b04170083668b04180083668b04190083668b041a0083668b041b0083668b041c0083668b041d0083668b041e0083668b041f0083668b04200083668b04210083668b04220083668b04230083668b04240083668b04250083668b04260083668b04270083668b04280083668b04290083668b042a0083668b042b0000"_hex_u8, {1, 0, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44});
-    TestOptimalLinearization("80ea55a1fc3c0080e47da4dc2c0180e159a1c3340280e411a4ca500380d35ba1f20c04823586f77404048a5080b00405048265994a0604823a994a07048242c90a08048500e91a0904823680830e0904850081884e0a0482358397480b048474d8080c0485208194460d048542bf6c0e04854dc40a0f048239c92010048335ad181203823585e33a1104853f80871812048474e80613048236e47a1304823582a2261404823582894414048241c86a1504854cc40a17038658d0301704854dc0641804865fc4601c00138546c3361c0109833eb00a041c8452ba141c0004875c80c2541e0002833ead6c032900"_hex_v_u8, {{386635, 31880}, {338487, 29454}, {351640, 30602}, {341304, 30204}, {311144, 27664}, {12522, 1116}, {4752, 441}, {4741, 450}, {4725, 449}, {8716, 831}, {6723, 756}, {6797, 768}, {11330, 1488}, {5700, 756}, {7562, 1418}, {5208, 984}, {3786, 722}, {4421, 845}, {2956, 565}, {4379, 838}, {2998, 574}, {4210, 845}, {4150, 834}, {4464, 991}, {1701, 442}, {1701, 485}});
+    TestOptimalLinearization("80ea55a1fc3c0080e47da4dc2c0180e159a1c3340280e411a4ca500380d35ba1f20c04823586f77404048a5080b00405048265994a0604823a994a07048242c90a08048500e91a0904823680830e0904850081884e0a0482358397480b048474d8080c0485208194460d048542bf6c0e04854dc40a0f048239c92010048335ad181203823585e33a1104853f80871812048474e80613048236e47a1304823582a2261404823582894414048241c86a1504854cc40a17038658d0301704854dc0641804865fc4601c00138546c3361c0109833eb00a041c8452ba141c0004875c80c2541e0002833ead6c032900"_hex_u8, {7, 10, 13, 9, 8, 18, 19, 0, 1, 24, 26, 25, 27, 28, 35, 16, 5, 29, 20, 21, 6, 2, 12, 30, 31, 32, 33, 15, 17, 22, 23, 34, 14, 11, 4, 3});
-    TestOptimalLinearization("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"_hex_v_u8, {{29924, 7517}, {1617, 609}, {25754, 20468}, {754, 1062}, {546, 1107}, {1036, 2126}, {7609, 17367}, {1180, 3530}, {2634, 8297}, {172, 617}, {172, 617}});
+    TestOptimalLinearization("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"_hex_u8, {23, 43, 44, 49, 0, 1, 2, 3, 37, 4, 19, 20, 21, 22, 28, 31, 34, 38, 39, 42, 45, 46, 47, 48, 41, 50, 51, 53, 18, 40, 52, 54, 15, 16, 7, 8, 9, 10, 11, 13, 14, 17, 26, 27, 29, 25, 24, 30, 5, 6, 32, 33, 35, 36, 12, 55, 56});
-    TestOptimalLinearization("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"_hex_v_u8, {{96480, 4675}, {48240, 2338}, {48240, 2338}, {482080, 23373}, {12400, 609}});
+    TestOptimalLinearization("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"_hex_u8, {0, 1, 2, 3, 4, 5, 18, 19, 20, 27, 28, 29, 10, 21, 30, 6, 8, 12, 14, 22, 32, 33, 11, 26, 15, 23, 35, 7, 16, 9, 17, 38, 13, 31, 34, 41, 24, 25, 37, 39, 36, 40, 42});
-    TestOptimalLinearization("836880bf4000834c80b6600000836880bf400100834c80b6600001836880bf400101834c80b6600002836880bf400102834c80b6600003836880bf400103834c80b6600004836880bf400104834c80b6600005836880bf400105834c80b6600006836880bf400106834c80b6600007836880bf400107834c80b6600008836881b768010800"_hex_v_u8, {{130900, 6160}, {11760, 588}, {11760, 588}, {11760, 588}, {11760, 588}, {11760, 588}, {11760, 588}, {11760, 588}, {11760, 588}, {11760, 588}});
+    TestOptimalLinearization("836880bf4000834c80b6600000836880bf400100834c80b6600001836880bf400101834c80b6600002836880bf400102834c80b6600003836880bf400103834c80b6600004836880bf400104834c80b6600005836880bf400105834c80b6600006836880bf400106834c80b6600007836880bf400107834c80b6600008836881b768010800"_hex_u8, {0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 1, 3, 5, 7, 9, 11, 13, 15, 17});
-    TestOptimalLinearization("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"_hex_v_u8, {{59283, 28013}, {7894, 15440}, {9513, 20143}, {466, 1079}, {430, 999}});
+    TestOptimalLinearization("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"_hex_u8, {35, 21, 22, 24, 25, 28, 32, 33, 34, 36, 37, 23, 29, 26, 27, 38, 0, 1, 17, 30, 31, 39, 43, 56, 19, 45, 47, 48, 49, 50, 52, 53, 54, 46, 44, 51, 55, 6, 4, 5, 9, 10, 13, 14, 16, 18, 11, 20, 8, 7, 15, 12, 3, 2, 40, 41});
-    TestOptimalLinearization("cc1b8ae36800d6628bd74401912d81d342028368d406038e54819144048f7481a73405af7687b42806d35e8aa12c078416ab0c088f4781d31609a42e85905a0909b53087da7c07098459e30a0809cc4789cd7e0709912881db4405098422de500509a84b8693220e000d901e828d56050f823cce0e030f9017828c2201158608809b340807000d901e81d8420116925282b97c080600020a901c81d8420117901f81d8420012ca088ab75202010102020200"_hex_v_u8, {{68948, 6262}, {127805, 11981}, {21771, 2119}, {44226, 4410}, {22113, 2207}, {146849, 14665}, {162611, 16557}, {31803, 3253}, {151865, 16609}, {6120, 674}, {216238, 23904}, {6405, 729}});
+    TestOptimalLinearization("cc1b8ae36800d6628bd74401912d81d342028368d406038e54819144048f7481a73405af7687b42806d35e8aa12c078416ab0c088f4781d31609a42e85905a0909b53087da7c07098459e30a0809cc4789cd7e0709912881db4405098422de500509a84b8693220e000d901e828d56050f823cce0e030f9017828c2201158608809b340807000d901e81d8420116925282b97c080600020a901c81d8420117901f81d8420012ca088ab75202010102020200"_hex_u8, {12, 5, 6, 14, 15, 22, 16, 17, 25, 0, 1, 2, 3, 4, 8, 9, 10, 11, 13, 23, 18, 19, 20, 21, 24, 7});
-    TestOptimalLinearization("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"_hex_v_u8, {{16424, 2763}, {9568, 1720}, {54506, 9812}, {11635, 2160}, {45440, 8447}, {20893, 4158}, {4150, 833}, {5505, 1105}, {7182, 1503}, {68976, 14854}, {1967, 437}, {11126, 2482}, {24695, 5526}, {13379, 3279}, {10034, 2836}, {2496, 828}});
+    TestOptimalLinearization("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"_hex_u8, {51, 53, 52, 16, 49, 10, 11, 12, 13, 48, 36, 50, 54, 6, 29, 0, 1, 2, 3, 4, 5, 7, 8, 9, 31, 44, 57, 60, 59, 56, 17, 28, 18, 32, 14, 19, 21, 27, 15, 30, 61, 22, 25, 24, 23, 41, 20, 37, 38, 47, 39, 40, 42, 55, 26, 33, 45, 58, 43, 46, 34, 35});
-    TestOptimalLinearization("80884d94bf40008349db4000018349db4001008349db4002008349db4003008349db4004008349db4005008349db4006008349db4007008349db4008008349db4009008349db400a008349db400b008349db400c008349db400d008349db400e008349db400f008349db4010008349db4011008349db4012008349db4013008349db4014008349db4015008349db4016008349db4017008349db4018008349db4019008349db401a008349db401b008349db401c008349db401d008349db401e008349db401f008349db4020008349db4021008349db4022008349db4023008349db4024008349db4025008349db4026008349db4027008349db4028008349db4029008349db402a008349db402b008349db402c008349db402d008349db402e008349db402f0000"_hex_v_u8, {{460320, 45693}});
+    TestOptimalLinearization("80884d94bf40008349db4000018349db4001008349db4002008349db4003008349db4004008349db4005008349db4006008349db4007008349db4008008349db4009008349db400a008349db400b008349db400c008349db400d008349db400e008349db400f008349db4010008349db4011008349db4012008349db4013008349db4014008349db4015008349db4016008349db4017008349db4018008349db4019008349db401a008349db401b008349db401c008349db401d008349db401e008349db401f008349db4020008349db4021008349db4022008349db4023008349db4024008349db4025008349db4026008349db4027008349db4028008349db4029008349db402a008349db402b008349db402c008349db402d008349db402e008349db402f0000"_hex_u8, {1, 0, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48});
-    TestOptimalLinearization("80cc00829900008449c452018336c318028335b4200380c95c86c57004ce3488a30c0580b63281ed680683358c1a078477da46088336b37c0988728092340a8540955c0b9f0a82831c0c8474c2760c0c82359094240d0c8335b2160e0c8239af7e0f0c823aad50100c9738c840110c8478c3520e0c823581db200f0c82358ae40e100c847cbb000f0c8478cf74100c8331a006110c8311af5c120c82358dd418130c8239ab58140c8331b97c1708854d926018088478c32419088600cf401e048621b8701f048235b13a1c088336bc4a160c8242b01c1e048335b216142d8331b97c08268474d14c131b967e81f164040a0a000009bd6580a1061f00000000000000000f00"_hex_v_u8, {{5859, 759}, {4364, 566}, {76038, 10164}, {9434, 1266}, {187130, 27709}, {3774, 561}, {3774, 561}, {172985, 27560}, {4457, 713}, {209015, 34252}, {3408, 565}, {3118, 529}, {3275, 565}, {3275, 565}, {4393, 760}, {4347, 756}, {4370, 760}, {5152, 896}, {3840, 764}, {3704, 929}, {2115, 561}, {9990, 3884}, {1264, 845}, {845, 565}, {10371, 8037}});
+    TestOptimalLinearization("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"_hex_u8, {24, 9, 15, 35, 11, 14, 13, 33, 40, 26, 27, 0, 2, 4, 6, 8, 38, 34, 36, 37, 16, 21, 18, 39, 22, 10, 20, 3, 5, 12, 1, 30, 31, 17, 32, 19, 7, 29, 28, 23, 25});
-    TestOptimalLinearization("cf0884cf6c008324a54400008324a54401008324a54402008324a54403008324a54404008324a54405008324a54406008324a54407008324a54408008324a54409008324a5440a008324a5440b008324a5440c008324a5440d008324a5440e0000"_hex_v_u8, {{46134, 10248}, {2466, 548}, {2466, 548}, {2466, 548}, {2466, 548}, {2466, 548}, {2466, 548}, {2466, 548}, {2466, 548}, {2466, 548}, {2466, 548}, {2466, 548}, {2466, 548}, {2466, 548}, {2466, 548}, {2466, 548}});
+    TestOptimalLinearization("cf0884cf6c008324a54400008324a54401008324a54402008324a54403008324a54404008324a54405008324a54406008324a54407008324a54408008324a54409008324a5440a008324a5440b008324a5440c008324a5440d008324a5440e0000"_hex_u8, {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15});
-    TestOptimalLinearization("8474ad70008474ad70018470ad70028470ad70038470ad70048470ad70058470ad70068474ad70078474ad70088470ad70098474ad700a8474ad700b8474ad700c8470ad700d8474ad700e8474ad700fb83285d734000000000000000000000000000000000f00"_hex_v_u8, {{102810, 19414}});
+    TestOptimalLinearization("8474ad70008474ad70018470ad70028470ad70038470ad70048470ad70058470ad70068474ad70078474ad70088470ad70098474ad700a8474ad700b8474ad700c8470ad700d8474ad700e8474ad700fb83285d734000000000000000000000000000000000f00"_hex_u8, {3, 4, 5, 6, 7, 10, 14, 0, 2, 8, 9, 11, 12, 13, 15, 16, 1});
-    TestOptimalLinearization("a408f07c00832c8c320000832c8c320100832c8c320200832c8c320300832c8c320400832c8c320500832c8c320600832c8c320700832c8c320800832c8c32090083308c3e0a0083308c3e0b0083308c3e0c0083308c3e0d00832f8c3a0e00832f8c3a0f00832f8c3a1000832f8c3a1100832f8c3a1200832d8c341300832d8c341400832d8c341500832d8c34160000"_hex_v_u8, {{27053, 17567}});
+    TestOptimalLinearization("a408f07c00832c8c320000832c8c320100832c8c320200832c8c320300832c8c320400832c8c320500832c8c320600832c8c320700832c8c320800832c8c32090083308c3e0a0083308c3e0b0083308c3e0c0083308c3e0d00832f8c3a0e00832f8c3a0f00832f8c3a1000832f8c3a1100832f8c3a1200832d8c341300832d8c341400832d8c341500832d8c34160000"_hex_u8, {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 20, 21, 22, 23, 15, 16, 17, 18, 19});
-    TestOptimalLinearization("8362861c00da64e1740000832a83460000832a83460100832e834a02008331834e0300832a83460400832a83460500832a83460600832a83460700832a83460800832a83460900832a83460a00832a83460b00832a83460c00832a83460d0000"_hex_v_u8, {{462, 610}, {6330, 11748}, {295, 561}, {291, 554}, {291, 554}, {291, 554}, {291, 554}, {291, 554}, {291, 554}, {291, 554}, {291, 554}, {291, 554}, {291, 554}, {291, 554}, {291, 554}, {293, 558}});
+    TestOptimalLinearization("8362861c00da64e1740000832a83460000832a83460100832e834a02008331834e0300832a83460400832a83460500832a83460600832a83460700832a83460800832a83460900832a83460a00832a83460b00832a83460c00832a83460d0000"_hex_u8, {0, 1, 5, 2, 3, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 4});
-    TestOptimalLinearization("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"_hex_v_u8, {{13253, 561}, {707608, 30199}, {996428, 42555}, {743996, 31775}, {16040, 764}, {36126, 1780}, {88603, 4456}, {34788, 1780}, {542102, 27805}, {8393, 437}, {12540, 658}, {8288, 441}, {15563, 833}, {10463, 562}, {132850, 7145}, {10186, 561}, {70262, 3940}, {71837, 4029}, {55089, 3090}, {102338, 5741}, {94072, 5279}, {15387, 892}, {265139, 15986}, {12139, 756}, {8649, 561}, {12789, 836}, {6446, 438}, {6377, 449}, {31027, 2358}, {7319, 565}, {10946, 845}, {10635, 836}, {14131, 1134}, {5328, 442}, {5256, 438}, {5230, 441}});
+    TestOptimalLinearization("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"_hex_u8, {17, 1, 0, 15, 2, 44, 45, 7, 10, 54, 36, 37, 32, 33, 34, 48, 55, 38, 39, 50, 51, 57, 22, 9, 21, 28, 40, 41, 42, 35, 23, 24, 5, 18, 20, 26, 31, 43, 16, 25, 27, 49, 47, 8, 30, 19, 14, 56, 11, 12, 46, 53, 52, 13, 29, 4, 6, 3});
-    TestOptimalLinearization("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"_hex_v_u8, {{3956, 750}, {3956, 750}, {3956, 750}, {3956, 750}, {3956, 750}, {4377, 832}, {4377, 832}, {6968, 1582}, {17006, 4078}, {10111, 2496}, {20807, 5971}, {2591, 750}, {2591, 750}, {2729, 791}, {2729, 791}, {2867, 832}, {2867, 832}, {2867, 832}, {2867, 832}, {2867, 832}, {2867, 832}, {2867, 832}, {2867, 832}, {2867, 832}, {2867, 832}, {2867, 832}, {2867, 832}, {2867, 832}, {2867, 832}, {2867, 832}, {2867, 832}, {2867, 832}, {2867, 832}, {2867, 832}, {2867, 832}});
+    TestOptimalLinearization("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"_hex_u8, {1, 6, 10, 16, 25, 17, 18, 11, 12, 3, 4, 27, 45, 46, 13, 14, 47, 5, 7, 8, 19, 21, 23, 24, 0, 26, 15, 28, 2, 9, 20, 22, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44});
-    TestOptimalLinearization("836880d74800836880d74801836880d74802836880d74803834c80cf100303836880d7480403834c80cf100403836880d7480503834c80cf100503836880d7480603836880d7480603834c80cf100703834c80cf10060d836880d748070d834c80cf10060c836880d748070c834c80cf10060b836880d748070b834c80cf10070a834c80cf100519836880d7480619836880d7480516834c80cf100616836880d7480513834c80cf100613834c80cf100423836880d7480523834c80cf10051e836880d748061e834c80cf100519836880d7480619834c80cf10042c836880d748052c834c80cf100426836880d7480526834c80cf10041f834c80cf100334834c80cf10022b887685bb3e0301010b0300"_hex_v_u8, {{316363, 12974}, {13320, 588}, {13320, 588}, {13320, 588}, {13320, 588}, {13320, 588}, {13320, 588}, {13320, 588}, {13320, 588}, {13320, 588}, {13320, 588}, {13320, 588}, {13320, 588}, {13320, 588}, {13320, 588}, {13320, 588}, {13320, 588}, {13320, 588}, {13320, 588}, {13320, 588}});
+    TestOptimalLinearization("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"_hex_u8, {0, 2, 4, 6, 8, 10, 12, 14, 16, 17, 19, 21, 24, 26, 28, 29, 31, 34, 35, 38, 1, 3, 5, 7, 9, 11, 13, 15, 18, 20, 22, 23, 25, 27, 30, 32, 33, 36, 37});
-    TestOptimalLinearization("808934829e280083348c28000183348c28010083348c28020083348c28030083348c28040083348c28050083348c28060083348c28070083348c28080083348c28090083348c280a0083348c280b0083348c280c0083348c280d0083348c280e0083348c280f0083348c28100083348c28110083348c28120083348c28130083348c28140083348c28150083348c28160083348c28170083348c28180083348c28190083348c281a0083348c281b0083348c281c0083348c281d0083348c281e0083348c281f0083348c28200083348c28210083348c28220083348c28230083348c28240083348c28250083348c28260083348c28270083348c28280083348c28290083348c282a0000"_hex_v_u8, {{63216, 41968}});
+    TestOptimalLinearization("808934829e280083348c28000183348c28010083348c28020083348c28030083348c28040083348c28050083348c28060083348c28070083348c28080083348c28090083348c280a0083348c280b0083348c280c0083348c280d0083348c280e0083348c280f0083348c28100083348c28110083348c28120083348c28130083348c28140083348c28150083348c28160083348c28170083348c28180083348c28190083348c281a0083348c281b0083348c281c0083348c281d0083348c281e0083348c281f0083348c28200083348c28210083348c28220083348c28230083348c28240083348c28250083348c28260083348c28270083348c28280083348c28290083348c282a0000"_hex_u8, {1, 0, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43});
-    TestOptimalLinearization("80af1a838c0a0080b37b82af76018335854e028335a64e03867cb2760483358a0c0580cd6485e13206854c8f3a0606823586e37207068241894608068750901a0906857cf2400a06823aab020b06824194060c068541bc500d068608f3440e068241a2000e06854ebd420f06823588b41610068500e13e11068241a2501206894480c21413068500905a1406854d8f3a150683368766160683358a0c1306823a983a1306823586bd7e140685458f261506833da17616068242a0341321854dc0641d000a83318a02061d854dc064120d8751901a0124b524808a58091200000000000200"_hex_v_u8, {{128151, 26614}, {4001, 846}, {127437, 27752}, {2535, 565}, {116824, 26905}, {2235, 573}, {1629, 442}, {3323, 1020}, {1347, 449}, {3239, 1554}, {675, 449}, {1133, 768}, {2125, 1691}, {1053, 844}, {9363, 7513}, {1053, 845}, {1043, 837}, {1101, 1105}, {563, 566}});
+    TestOptimalLinearization("80af1a838c0a0080b37b82af76018335854e028335a64e03867cb2760483358a0c0580cd6485e13206854c8f3a0606823586e37207068241894608068750901a0906857cf2400a06823aab020b06824194060c068541bc500d068608f3440e068241a2000e06854ebd420f06823588b41610068500e13e11068241a2501206894480c21413068500905a1406854d8f3a150683368766160683358a0c1306823a983a1306823586bd7e140685458f261506833da17616068242a0341321854dc0641d000a83318a02061d854dc064120d8751901a0124b524808a58091200000000000200"_hex_u8, {11, 14, 17, 15, 16, 12, 13, 0, 2, 5, 10, 7, 21, 9, 35, 23, 29, 31, 34, 30, 24, 8, 4, 6, 3, 18, 25, 26, 27, 1, 22, 33, 19, 32, 28, 20});
-    TestOptimalLinearization("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"_hex_v_u8, {{1073483, 28599}, {974262, 25978}, {28500, 760}, {1176771, 31491}, {1583595, 42433}, {1276412, 34206}, {1159437, 31072}, {998800, 26825}, {1208196, 32597}, {16080, 437}, {35960, 992}, {25776, 713}, {39912, 1105}, {62800, 1784}, {26220, 760}, {15039, 437}, {26030, 760}, {24300, 721}, {32931, 993}, {14203, 438}, {91071, 2829}, {22489, 720}, {13950, 449}, {17453, 565}, {17329, 561}, {42904, 1389}, {953801, 38788}, {8296, 442}, {4883, 441}, {5070, 1352}});
+    TestOptimalLinearization("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"_hex_u8, {7, 8, 17, 19, 20, 21, 9, 12, 13, 14, 2, 3, 37, 38, 26, 27, 34, 36, 35, 23, 25, 24, 33, 22, 44, 39, 45, 28, 10, 18, 40, 15, 29, 30, 11, 31, 5, 6, 32, 0, 1, 4, 16, 41, 42, 43});
-    TestOptimalLinearization("a91cb4e81c00fc20809ebc6801a454aef86e02ad6cbad74c03e044fba04e04c020d2950605a004a9893e06a004a9893e07a454aef86e089b38a39a1009a928b4e81c0a8d4c91cc040b8d4c91cc040c81940681dfa368000000000000000000000000000000"_hex_v_u8, {{440910, 5404}, {681347, 8352}, {152386, 1868}, {152386, 1868}, {488998, 5996}, {1017959, 12484}, {344735, 4228}, {344735, 4228}, {392823, 4820}, {392823, 4820}, {296648, 3640}, {1306484, 16032}, {440910, 5416}, {2885940, 35462}});
+    TestOptimalLinearization("a91cb4e81c00fc20809ebc6801a454aef86e02ad6cbad74c03e044fba04e04c020d2950605a004a9893e06a004a9893e07a454aef86e089b38a39a1009a928b4e81c0a8d4c91cc040b8d4c91cc040c81940681dfa368000000000000000000000000000000"_hex_u8, {0, 5, 11, 12, 3, 4, 6, 7, 2, 8, 9, 1, 10, 13});
-    TestOptimalLinearization("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"_hex_v_u8, {{124474, 1810}, {827900, 17978}, {540855, 11884}, {462570, 10222}, {201620, 4682}});
+    TestOptimalLinearization("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"_hex_u8, {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 31, 32, 33, 35, 38, 39, 43, 44, 45, 46, 49, 51, 52, 28, 30, 34, 36, 37, 40, 41, 42, 47, 48, 50, 29});
-    TestOptimalLinearization("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"_hex_v_u8, {{1679688, 62029}, {24765, 1116}, {21663, 994}, {76772, 3548}, {21328, 992}, {28220, 1356}, {33551, 1613}, {17262, 845}, {790344, 39015}, {15280, 756}, {15280, 764}, {15010, 760}, {12483, 658}, {17288, 924}, {49284, 2640}, {8150, 437}, {15164, 888}, {13860, 880}, {10767, 834}, {7600, 781}});
+    TestOptimalLinearization("921a84f92a008312809d6801841280c870028b7082891803945985e91004997e87ad7c0580b815ada40006941185c61807974d86cf62089f0a88f80209926d85932e0a963686a0560b945a85dc400c8d2183b53c0d9c5288972a0e9b4e87ee380f943585d12c108e1183d818119625869b5a128f3184896213911a84d154149305859a6415914284de0816980986e22e17920d84f54e18841280c2061818875c82817a1918854d818c5c1518823583bf4c1518861c818d101717857080d7481718866081cc2017188235fe2c1618866281d13e1518847880e9441518857880eb781318894c82b7781218850df5601018847c80ed601018854d80e51e0f18847480ed601018854280a71e1018850081a50002298d7f84983828000025dd44a5ec3425000025823980ac38014e866081f670022726ac7cc3fd5016000000000000000000000000000000000001042900"_hex_u8, {28, 33, 36, 46, 23, 39, 18, 32, 35, 20, 42, 41, 37, 0, 26, 24, 11, 30, 29, 21, 6, 2, 25, 4, 3, 7, 8, 19, 34, 43, 44, 12, 10, 13, 15, 14, 45, 40, 27, 1, 16, 5, 9, 22, 31, 17, 47, 38});
-    TestOptimalLinearization("836880832c00850d80a738000000"_hex_v_u8, {{19250, 1397}});
+    TestOptimalLinearization("836880832c00850d80a738000000"_hex_u8, {0, 1});
-    TestOptimalLinearization("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"_hex_v_u8, {{38835, 23106}, {40075, 24533}, {37668, 23160}, {110289, 72339}, {1062, 705}, {1062, 705}, {1062, 706}, {1062, 706}, {1062, 706}, {33045, 22510}, {30667, 21592}, {31176, 22039}, {26458, 22359}});
+    TestOptimalLinearization("836883680084428f4c01836883680284428f4c03836883680483688368058368836806836883680783688368088368836809836883680a836883680b80a70f80a7100b0b809b7c809b7c0a0a809947809948090b809b3e809b40090b80a12b80a12c090b809a2d809a30090b809c0b809c0c090b809554809554090b809913809914090b809b53809b54090b854e80aa4c091f854e80a13a091c872d9804140111854e80a76a0a1b854e80a44e0a1a854e80a9000a19854e80a1440a18854e80a44a0a17854e809d0a0a16854e80a3140a15854e80a13c0a1484418f4c082e867a80c3560628854e8188060c131f854e81887c0c121d84428f4c033184428f4c0034854e80ea2a0d002c84418f4c012a867a80bc3407062b84418f4c012b84418f4c002984428f4c002684428f4c0023854e80a45003072284428f4c0123886080be340a020427854e80a300050620854ed83c05051d886080be7402090524854ed84600092900"_hex_u8, {6, 5, 7, 8, 9, 3, 0, 1, 2, 4, 10, 12, 13, 14, 15, 11, 20, 21, 34, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 35, 36, 41, 46, 51, 52, 16, 17, 18, 19, 37, 38, 39, 40, 42, 43, 44, 45, 47, 48, 49, 50});
-    TestOptimalLinearization("8a4481f65e008f7783dc7c00008f7783c70801008f6f83c70801008f7083c7080100008f7783bf620100008f7783bf620100008f7783bf620100008f7783c70801019b1686e862000200"_hex_v_u8, {{313375, 18069}, {36913, 2167}, {36913, 2167}});
+    TestOptimalLinearization("8a4481f65e008f7783dc7c00008f7783c70801008f6f83c70801008f7083c7080100008f7783bf620100008f7783bf620100008f7783bf620100008f7783c70801019b1686e862000200"_hex_u8, {0, 1, 3, 2, 4, 6, 8, 9, 5, 7});
-    TestOptimalLinearization("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"_hex_v_u8, {{431706, 13571}, {421921, 14027}, {11145, 437}, {11145, 438}, {11145, 442}, {10761, 438}, {299471, 12673}, {9480, 438}, {12399, 574}, {16040, 752}, {6795, 442}, {6638, 438}, {6300, 449}, {9718, 768}, {8475, 760}, {8449, 764}, {8434, 764}, {8449, 768}, {8388, 768}, {8178, 768}, {8076, 760}, {4530, 441}, {8449, 892}, {8449, 892}, {13962, 1476}, {13962, 1484}, {13962, 1492}, {13962, 1492}, {13764, 1480}, {7104, 764}, {8251, 888}, {13586, 1476}, {13356, 1476}, {6912, 768}, {8028, 892}, {13356, 1484}, {4500, 573}, {6552, 836}});
+    TestOptimalLinearization("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"_hex_u8, {10, 12, 11, 21, 23, 24, 25, 26, 27, 28, 13, 29, 30, 0, 9, 1, 31, 6, 32, 14, 33, 34, 35, 3, 22, 7, 2, 36, 15, 16, 4, 37, 38, 20, 5, 17, 18, 39, 40, 41, 45, 42, 8, 43, 44, 19});
-    TestOptimalLinearization("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"_hex_v_u8, {{91200, 4576}, {48195, 6111}, {29525, 3762}, {28266, 5337}, {79016, 15147}, {68868, 16192}, {4752, 1196}, {1582, 437}, {56602, 16222}, {53282, 15911}, {49862, 15150}, {44115, 13578}, {7082, 2217}, {1410, 449}, {5655, 1833}, {6949, 2253}, {5902, 1914}, {5531, 2337}, {1094, 485}, {891, 437}, {2224, 1110}, {891, 450}, {37218, 20378}, {1497, 834}, {43233, 26724}, {41499, 25699}});
+    TestOptimalLinearization("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"_hex_u8, {4, 5, 15, 35, 36, 37, 17, 18, 19, 22, 21, 23, 20, 0, 1, 16, 33, 7, 8, 10, 9, 38, 39, 12, 13, 24, 25, 26, 27, 34, 3, 28, 40, 11, 29, 2, 30, 6, 31, 32, 14});
-    TestOptimalLinearization("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"_hex_v_u8, {{1360002, 282751}, {2975, 662}, {1887, 441}, {1808, 449}, {2464, 721}, {1463, 449}, {2344, 720}, {1463, 450}, {2344, 721}, {1856, 574}, {1830, 566}, {2304, 764}, {1689, 565}, {1592, 561}, {1226, 449}, {1000, 533}, {1000, 533}, {1000, 534}, {300, 534}});
+    TestOptimalLinearization("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"_hex_u8, {15, 41, 42, 36, 37, 38, 20, 22, 27, 28, 29, 50, 31, 32, 16, 18, 51, 33, 35, 34, 0, 23, 39, 40, 14, 13, 46, 47, 25, 26, 45, 8, 7, 10, 11, 17, 21, 19, 52, 2, 9, 12, 24, 1, 48, 49, 43, 30, 44, 3, 4, 5, 6});
 
     // Hard clusters (according to various metrics) in synthetically generated clusters, with 26-64 transactions.
-    TestOptimalLinearization("826db830008414a23c01744d028723d67e0103845cb0480201846ca1060202802d8b0e030104852dc545040104800e825f040283548424000f830aba39010a8241991402068612d67503030d8360b66301108712eb58070003843b905805040d8449865e05000b8503cd1908040003825ca40b03060204844b8a3c03030313852e8456030404000c834c9d1107000103000b8717b2590a00000200000b8035901106030003000f810c8a1c0a00000003000f862ea7130608000b816aa87706040400188112905b05070a8327bb040d02000000000d844cce410a05010009807994720502040e803c84690a0202020000058061813301050520800e8d6f0906010000001c84288f45090204000100001f820aa37607020206000d8073857c0602091f8539c4120602020502001a8728c826050c01078364c673060c0106832da9030b02020300000000286c877903040a00258466be7b050606000020840e9b7105010a23815f9321080300040002000000867fdf300500000a02002285168b50060008000100010123841ac7210704000200000101001c834d816706020302020000000022845ace070505000000010000000f81419e650207000002002c844eb3520b0000000100000000001582129f1c0b000000020000000008807b98060a0200020000000000038011825908010102000000000100001580378e3006040200000000038561ac27030103020e82459c170002000202000b8336a9420203000000000000000f00"_hex_v_u8, {{3672, 493}, {9871, 2079}, {7901, 1719}, {3172, 732}, {1434, 591}, {1470, 1295}, {734, 715}, {-3533, 9003}, {-3439, 2406}, {-1059, 680}, {-15211, 8262}, {-2491, 993}, {-1297, 351}, {-11899, 3148}, {-1868, 453}});
+    TestOptimalLinearization("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"_hex_u8, {16, 36, 20, 46, 57, 32, 18, 42, 53, 56, 1, 17, 7, 26, 22, 2, 27, 34, 29, 24, 40, 39, 25, 41, 35, 23, 19, 9, 44, 52, 49, 13, 5, 50, 28, 51, 31, 10, 0, 4, 11, 15, 38, 33, 3, 48, 8, 55, 30, 12, 14, 54, 58, 37, 21, 6, 43, 45, 47});
-    TestOptimalLinearization("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"_hex_v_u8, {{9571, 3032}, {9352, 6065}, {1318, 1023}, {633, 568}, {729, 671}, {7060, 11184}, {-8300, 1641}});
+    TestOptimalLinearization("823f9b1b00864fa2680182328c07028017890c02038607d0770105864dd04a0205852f80020108801e8c6c0208840aac1c050006813f9b0e010e826b9340040006806b856006000969823108000000870bb1230403010c837cb754040502867f934c0600010983388872050100088549c578060001010f861b812304040109872daf3004050109841f8a3208010100000a86008b0d04000407824ea36902090015850f802d01081881068d7f0501000310862fab02000915827e961f0308000011855ac76f030405028668b31a0202061c8602a81b020700001e82029017010a8351af460105000009801b866601030300010e837aa96602030200010e8420af76020400000008850fb76701000201000014861fc37804000100001000"_hex_u8, {31, 34, 24, 13, 27, 6, 16, 12, 2, 32, 25, 10, 9, 8, 23, 17, 26, 18, 30, 3, 35, 5, 22, 14, 7, 1, 36, 21, 19, 4, 11, 0, 29, 20, 28, 33, 15});
-    TestOptimalLinearization("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"_hex_v_u8, {{2315, 321}, {4683, 667}, {1002, 144}, {4179, 613}, {1369, 254}, {2847, 541}, {2534, 489}, {4242, 963}, {1944, 760}, {832, 472}, {577, 475}, {828, 920}, {643, 967}, {82, 142}, {3527, 21301}, {-455, 904}, {-396, 651}, {-677, 781}, {-381, 398}, {-849, 765}, {-1920, 892}, {-2336, 737}, {-3443, 676}, {-5589, 801}, {-4948, 678}});
+    TestOptimalLinearization("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"_hex_u8, {8, 4, 44, 1, 46, 17, 47, 34, 6, 29, 28, 19, 10, 42, 12, 13, 54, 36, 22, 40, 49, 38, 41, 23, 15, 31, 27, 3, 32, 24, 30, 0, 5, 51, 7, 50, 45, 37, 53, 2, 33, 43, 20, 11, 52, 18, 14, 39, 25, 9, 16, 21, 35, 26, 48});
-    TestOptimalLinearization("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"_hex_v_u8, {{3748, 674}, {3078, 561}, {3671, 967}, {3017, 805}, {2769, 994}, {2386, 934}, {546, 277}, {1739, 1038}, {188, 452}, {-35, 365}, {-443, 326}, {-27524, 18833}, {-1152, 664}, {-1098, 632}, {-572, 309}, {-1831, 774}, {-1990, 539}, {-1002, 254}, {-4841, 995}});
+    TestOptimalLinearization("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"_hex_u8, {38, 15, 39, 16, 17, 7, 24, 21, 13, 18, 11, 0, 23, 34, 26, 48, 50, 33, 31, 28, 9, 5, 4, 40, 44, 19, 8, 22, 3, 37, 27, 32, 25, 49, 20, 10, 42, 1, 35, 12, 14, 51, 47, 29, 6, 46, 45, 2, 36, 41, 30, 43});
-    TestOptimalLinearization("814e9f7400857edb66018043813402821fa96e038608bd4c048348bc2d05815ca33c06833387610780068b7408842ca841098059823d0a835382320b85418e4b0c84079d380d814b93520e83218a1a0f816b83491084088a4f11802e910512810a8e67138418c1541480408b2715845aaf6d1682529e5c000000000000000000000000000000000000000000000016837e88730100000000000000000000000000000000000000000000148733ce200200000000000000000000000000000000000000000000118279913c0300000000000000000000000000000000000000000000118276af0204000000000000000000000000000000000000000000000f80598c2405000000000000000000000000000000000000000000000f8734e31706000000000000000000000000000000000000000000000e804b803507000000000000000000000000000000000000000000000a85308b320800000000000000000000000000000000000000000000098418c039090000000000000000000000000000000000000000000008852898740a0000000000000000000000000000000000000000000006807596680b000000000000000000000000000000000000000000000585389e3e0c00000000000000000000000000000000000000000000058612cd260d00000000000000000000000000000000000000000000048338a41c0e000000000000000000000000000000000000000000000486068d430f0000000000000000000000000000000000000000000004806595121000000000000000000000000000000000000000000000038719de681100000000000000000000000000000000000000000000038301ab6912000000000000000000000000000000000000000000000380158b2b1300000000000000000000000000000000000000000000038138844b1400000000000000000000000000000000000000000000038465cb1615000000000000000000000000000000000000000000000386768e491600000000000000000000000000000000000000000000028072920f17000000000000000000000000000000000000000000000200"_hex_v_u8, {{2334, 348}, {5939, 894}, {2743, 415}, {4266, 664}, {2106, 334}, {826, 134}, {4006, 904}, {1321, 331}, {1948, 647}, {22824, 14732}, {793, 816}, {-91, 203}, {-997, 1014}, {-634, 638}, {-930, 902}, {-358, 312}, {-1224, 242}, {-790, 149}, {-2869, 513}, {-6412, 1076}, {-4189, 664}});
+    TestOptimalLinearization("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"_hex_u8, {10, 2, 5, 42, 0, 14, 6, 23, 21, 25, 3, 18, 26, 11, 17, 28, 19, 35, 16, 45, 46, 31, 7, 41, 29, 36, 12, 37, 32, 8, 1, 33, 13, 30, 9, 27, 22, 20, 43, 4, 34, 40, 44, 39, 38, 15, 24});
-    TestOptimalLinearization("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"_hex_v_u8, {{4112, 1539}, {2265, 900}, {8705, 4603}, {2414, 2781}, {76, 1413}, {-1707, 2591}, {-854, 375}, {-4513, 1397}, {-3611, 740}});
+    TestOptimalLinearization("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"_hex_u8, {7, 1, 6, 12, 25, 18, 20, 16, 24, 21, 22, 27, 0, 19, 10, 15, 3, 14, 4, 23, 17, 13, 5, 29, 8, 11, 9, 2, 26, 28});
-    TestOptimalLinearization("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"_hex_v_u8, {{4584, 725}, {4364, 762}, {1750, 317}, {4185, 1078}, {1232, 326}, {683, 183}, {408, 114}, {1745, 1029}, {198, 189}, {18555, 18373}, {188, 267}, {96, 292}, {68, 257}, {-196, 469}, {-630, 604}, {-774, 712}, {-203, 165}, {-1478, 974}, {-291, 180}, {-1945, 470}, {-738, 172}, {-3548, 702}, {-755, 134}, {-2029, 359}, {-1206, 186}, {-1582, 220}, {-3524, 460}});
+    TestOptimalLinearization("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"_hex_u8, {39, 56, 6, 51, 18, 30, 5, 2, 10, 14, 7, 54, 58, 41, 23, 19, 46, 13, 20, 25, 16, 35, 1, 42, 40, 32, 49, 26, 24, 59, 43, 29, 31, 55, 57, 27, 53, 37, 60, 50, 47, 17, 4, 12, 45, 9, 48, 44, 28, 34, 33, 52, 8, 0, 22, 11, 15, 36, 3, 38, 21});
-    TestOptimalLinearization("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"_hex_v_u8, {{774, 136}, {1738, 317}, {4071, 843}, {945, 217}, {3564, 835}, {1059, 281}, {3413, 951}, {3429, 958}, {1999, 578}, {786, 469}, {907, 609}, {681, 463}, {385, 352}, {-79, 114}, {-14191, 11733}, {-1185, 252}, {-1319, 269}});
+    TestOptimalLinearization("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"_hex_u8, {13, 30, 5, 23, 29, 32, 24, 26, 6, 7, 18, 20, 3, 10, 8, 0, 14, 9, 28, 25, 17, 21, 19, 15, 27, 2, 4, 31, 11, 16, 12, 22, 1});
-    TestOptimalLinearization("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"_hex_v_u8, {{6043, 1305}, {2111, 1592}, {16829, 16660}, {2522, 3629}, {-232, 292}, {-1546, 885}, {-4578, 1405}, {-1409, 389}});
+    TestOptimalLinearization("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"_hex_u8, {15, 25, 31, 9, 41, 12, 33, 40, 30, 3, 36, 38, 22, 16, 39, 34, 19, 11, 32, 17, 4, 20, 1, 2, 37, 18, 23, 35, 13, 5, 8, 0, 26, 29, 28, 10, 7, 21, 14, 24, 27, 6});
-    TestOptimalLinearization("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"_hex_v_u8, {{6398, 1068}, {3769, 1008}, {1511, 511}, {6, 7736}, {-2660, 6557}, {-1198, 1987}, {-717, 747}, {-2735, 921}, {-2555, 645}, {-2677, 584}, {-9778, 2011}});
+    TestOptimalLinearization("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"_hex_u8, {19, 42, 39, 4, 31, 2, 16, 26, 12, 13, 11, 10, 5, 30, 17, 9, 35, 22, 14, 15, 6, 37, 24, 34, 25, 29, 21, 18, 7, 36, 27, 32, 38, 0, 23, 28, 33, 20, 41, 3, 8, 40, 1});
-    TestOptimalLinearization("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"_hex_v_u8, {{2372, 409}, {1851, 334}, {3742, 728}, {832, 179}, {1198, 375}, {1873, 654}, {2459, 983}, {2589, 1067}, {791, 441}, {382, 266}, {184, 167}, {6046, 9350}, {268, 510}, {263, 828}, {-7, 288}, {-158, 471}, {-428, 1037}, {-388, 339}, {-1690, 900}, {-1270, 568}, {-916, 278}, {-642, 182}, {-3042, 844}, {-3819, 1016}, {-3826, 816}, {-2475, 516}, {-3102, 621}, {-3131, 592}});
+    TestOptimalLinearization("80278170008458b93c01840e9c220284358d1b0377800c04871ca3470580338c00068219a40807861f9b4f088200977309810a847c0a82398b2e0b814e9b760c8177915c0d8657a5360e872ba73a0f81290810847db55111854cae4300000000000000000000000000000000000012852bbb420100000000000000000000000000000000001181168d270200000000000000000000000000000000001186049933030000000000000000000000000000000000118304a5550400000000000000000000000000000000000f8338926b0500000000000000000000000000000000000f853c830e0600000000000000000000000000000000000f8530ba630700000000000000000000000000000000000f853191580800000000000000000000000000000000000e870d85570900000000000000000000000000000000000b827e83180a00000000000000000000000000000000000b874abd420b000000000000000000000000000000000008803689030c000000000000000000000000000000000008826287720d000000000000000000000000000000000007836daf3b0e0000000000000000000000000000000000078678ba550f000000000000000000000000000000000006855e877610000000000000000000000000000000000006815385071100000000000000000000000000000000000681200d120000000000000000000000000000000000058350af75130000000000000000000000000000000000028713db5e140000000000000000000000000000000000008257813b1500000000000000000000000000000000000000"_hex_u8, {18, 30, 5, 15, 32, 6, 33, 34, 26, 23, 1, 13, 36, 11, 19, 14, 20, 37, 38, 2, 21, 12, 24, 28, 17, 9, 31, 39, 16, 29, 4, 8, 3, 22, 0, 27, 10, 7, 25, 35});
-    TestOptimalLinearization("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"_hex_v_u8, {{7128, 1003}, {1584, 223}, {4155, 641}, {4115, 666}, {4415, 919}, {797, 210}, {3016, 970}, {677, 355}, {1212, 857}, {878, 867}, {327, 975}, {111, 369}, {-1440, 17399}, {-303, 893}, {-339, 488}, {-586, 825}, {-1001, 633}, {-1284, 732}, {-510, 281}, {-438, 203}, {-745, 340}, {-2403, 806}, {-925, 266}, {-4294, 1052}, {-4252, 993}, {-4536, 885}, {-5353, 964}, {-7198, 1072}});
+    TestOptimalLinearization("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"_hex_u8, {24, 16, 49, 32, 9, 48, 52, 7, 35, 22, 17, 25, 39, 1, 57, 40, 11, 33, 31, 29, 26, 13, 12, 44, 54, 18, 19, 53, 41, 3, 51, 20, 43, 34, 8, 23, 45, 5, 2, 21, 14, 58, 50, 15, 30, 46, 47, 56, 27, 38, 28, 36, 42, 6, 0, 37, 10, 4, 55});
-    TestOptimalLinearization("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"_hex_v_u8, {{3137, 724}, {1966, 694}, {2184, 1015}, {1077, 671}, {-56, 417}, {-4305, 19152}, {-424, 603}, {-2200, 861}, {-6216, 1876}});
+    TestOptimalLinearization("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"_hex_u8, {32, 20, 23, 26, 16, 33, 29, 10, 37, 7, 14, 18, 27, 13, 30, 24, 6, 8, 11, 2, 21, 40, 0, 25, 1, 28, 19, 38, 17, 22, 36, 12, 4, 5, 15, 34, 35, 39, 31, 41, 3, 9});
-    TestOptimalLinearization("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"_hex_v_u8, {{5346, 1041}, {12977, 2549}, {3992, 879}, {604, 165}, {9466, 2925}, {10459, 5394}, {1398, 1369}, {-5465, 2673}, {-3270, 1378}, {-25877, 8528}, {-4167, 688}});
+    TestOptimalLinearization("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"_hex_u8, {15, 28, 36, 20, 26, 22, 3, 24, 18, 4, 35, 11, 27, 0, 42, 6, 14, 12, 45, 40, 25, 30, 37, 7, 17, 9, 8, 33, 13, 32, 1, 21, 46, 41, 44, 29, 43, 5, 23, 38, 16, 19, 39, 34, 31, 10, 2});
-    TestOptimalLinearization("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"_hex_v_u8, {{7621, 1016}, {3067, 429}, {5953, 838}, {3365, 481}, {1165, 177}, {4390, 676}, {4241, 770}, {3694, 826}, {880, 197}, {1746, 492}, {2419, 699}, {2891, 1040}, {2540, 1008}, {32264, 19146}, {945, 606}, {202, 989}, {-244, 394}, {-556, 703}, {-1018, 1057}, {-566, 469}, {-1564, 1000}, {-2434, 921}, {-2446, 631}, {-2401, 588}, {-6088, 956}, {-3397, 515}, {-6952, 1035}});
+    TestOptimalLinearization("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"_hex_u8, {51, 12, 22, 31, 42, 41, 8, 50, 10, 25, 55, 23, 49, 20, 39, 5, 46, 33, 47, 34, 29, 28, 43, 53, 38, 24, 27, 40, 37, 3, 9, 4, 14, 26, 17, 1, 2, 11, 7, 45, 32, 19, 52, 36, 56, 0, 21, 16, 54, 44, 15, 13, 30, 48, 18, 6, 35});
-    TestOptimalLinearization("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"_hex_v_u8, {{3577, 877}, {2923, 769}, {2435, 709}, {783, 480}, {-1399, 8615}, {-337, 909}, {-477, 582}, {-642, 725}, {-1406, 752}, {-804, 388}, {-3142, 915}, {-4096, 1038}, {-2364, 552}, {-4347, 954}, {-1558, 299}, {-805, 153}});
+    TestOptimalLinearization("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"_hex_u8, {17, 8, 14, 10, 12, 24, 3, 11, 21, 19, 18, 5, 1, 4, 6, 27, 22, 16, 9, 20, 2, 0, 7, 15, 26, 13, 25, 23});
-    TestOptimalLinearization("8327982d0080608f67000085299d2a0100847b8207020082769438030082479f0b0202822a996a01000887298a350100098432a61f010883029b5b04000006870ec96a03048172812b03010008824d916f010102000c833aa8040110801a847f0402000002832c862104000000000a873d9c060202010383208e7803010110815d1101041268870f050001851254010e8124804a020411822c9028060001000e866d8a77030105836ba27e001a8503890804030116857b8f620110850ba7510008188704b103010201001c857cc54f000001000000"_hex_v_u8, {{8000, 4089}, {-935, 11933}, {-3202, 1028}, {-2601, 779}, {-4520, 892}});
+    TestOptimalLinearization("8327982d0080608f67000085299d2a0100847b8207020082769438030082479f0b0202822a996a01000887298a350100098432a61f010883029b5b04000006870ec96a03048172812b03010008824d916f010102000c833aa8040110801a847f0402000002832c862104000000000a873d9c060202010383208e7803010110815d1101041268870f050001851254010e8124804a020411822c9028060001000e866d8a77030105836ba27e001a8503890804030116857b8f620110850ba7510008188704b103010201001c857cc54f000001000000"_hex_u8, {11, 26, 19, 21, 10, 25, 16, 15, 22, 8, 18, 14, 6, 3, 23, 1, 7, 17, 13, 24, 5, 2, 12, 28, 27, 9, 20, 0, 4, 29});
-    TestOptimalLinearization("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"_hex_v_u8, {{497, 327}, {-4592, 24583}, {-360, 1076}, {-2707, 644}});
+    TestOptimalLinearization("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"_hex_u8, {39, 27, 26, 12, 36, 8, 1, 30, 7, 3, 31, 16, 28, 15, 38, 18, 10, 29, 9, 0, 24, 21, 14, 13, 4, 25, 11, 20, 2, 17, 33, 32, 42, 23, 40, 22, 19, 34, 6, 35, 5, 37, 41});
-    TestOptimalLinearization("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"_hex_v_u8, {{3548, 898}, {3266, 836}, {2613, 693}, {3334, 973}, {21647, 16912}, {849, 990}, {285, 521}, {-52, 125}, {-328, 605}, {-222, 380}, {-423, 128}, {-1353, 345}, {-864, 213}, {-1961, 481}, {-3970, 927}, {-3551, 709}});
+    TestOptimalLinearization("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"_hex_u8, {41, 13, 38, 8, 0, 28, 16, 37, 26, 34, 14, 3, 25, 19, 10, 31, 33, 32, 29, 7, 4, 36, 40, 24, 30, 20, 9, 11, 39, 1, 22, 15, 17, 23, 35, 12, 18, 27, 5, 21, 6, 2});
-    TestOptimalLinearization("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"_hex_v_u8, {{943, 154}, {4543, 1004}, {1208, 271}, {2086, 484}, {1022, 264}, {549, 156}, {1308, 547}, {1277, 953}, {1026, 778}, {12943, 11680}, {486, 863}, {366, 811}, {445, 1094}, {-55, 479}, {-240, 165}, {-304, 139}, {-1110, 337}, {-3876, 1007}, {-1479, 368}, {-1935, 438}, {-4883, 952}, {-5262, 979}, {-1626, 256}, {-3959, 622}});
+    TestOptimalLinearization("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"_hex_u8, {37, 28, 41, 17, 9, 7, 8, 12, 27, 26, 21, 5, 29, 24, 38, 14, 10, 16, 39, 36, 22, 2, 34, 19, 15, 18, 35, 3, 32, 20, 33, 23, 4, 25, 11, 0, 30, 43, 6, 31, 42, 40, 13, 1});
-    TestOptimalLinearization("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"_hex_v_u8, {{4709, 1055}, {2513, 620}, {2218, 909}, {6605, 3186}, {6218, 3702}, {703, 1507}, {20, 886}, {-2372, 6067}, {-10262, 12450}});
+    TestOptimalLinearization("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"_hex_u8, {18, 44, 53, 23, 13, 26, 1, 2, 9, 50, 3, 17, 43, 30, 41, 45, 16, 34, 0, 22, 47, 51, 15, 49, 31, 24, 38, 14, 28, 32, 40, 33, 4, 20, 21, 27, 37, 12, 6, 39, 11, 42, 46, 35, 10, 48, 29, 7, 8, 36, 25, 54, 5, 19, 52});
-    TestOptimalLinearization("803a8f330086548209018265ac21028521bf2e0104800b844d02018321a05d0006835e933e040003835792230400048047865703068201a07d04068662a16d0308865ad476000e8431bb620200020b8264841503010c8625ba5704000209837d9d52021686378e68020e837b8174020e840e80590301060383329a4007020100118262885c0305010a834d8d2a02128133964d0600040d8437ac2a0503040005816b810705020419840cb2440d00000100000b865ad07005030003118419ae21060201030586748076060005000c80068a0e050103030006870dc31208020000020010863bc91f060100020301000a80218b4f0400020d817c8e6f080100020201000880108c4f010d1b834db0320607000017841ca15c0500040000020478853200020100000000001300"_hex_v_u8, {{3922, 1781}, {3529, 2772}, {16566, 14073}, {579, 1338}, {-1016, 380}, {-7368, 1740}, {-808, 161}, {-872, 144}});
+    TestOptimalLinearization("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"_hex_u8, {35, 2, 4, 6, 26, 10, 37, 23, 5, 27, 8, 0, 14, 25, 34, 22, 36, 19, 30, 13, 29, 3, 9, 17, 16, 21, 11, 20, 12, 1, 15, 33, 28, 32, 24, 18, 31, 7});
-    TestOptimalLinearization("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"_hex_v_u8, {{2085, 516}, {-1, 2091}, {-214, 2450}, {-2803, 3167}, {-16800, 11295}});
+    TestOptimalLinearization("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"_hex_u8, {18, 22, 26, 21, 12, 28, 25, 6, 9, 2, 11, 31, 24, 19, 17, 30, 23, 13, 4, 32, 10, 27, 8, 5, 3, 7, 29, 0, 1, 16, 20, 15, 14});
-    TestOptimalLinearization("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"_hex_v_u8, {{9901, 20654}, {1369, 3124}, {-656, 773}});
+    TestOptimalLinearization("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"_hex_u8, {39, 37, 26, 10, 31, 29, 2, 33, 1, 5, 8, 13, 22, 4, 36, 28, 9, 20, 7, 14, 24, 19, 25, 3, 32, 18, 11, 12, 17, 16, 23, 15, 34, 21, 27, 38, 30, 6, 0, 35});
-    TestOptimalLinearization("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"_hex_v_u8, {{5480, 1030}, {4602, 881}, {2811, 551}, {4043, 853}, {3062, 687}, {3415, 878}, {1536, 414}, {698, 231}, {797, 438}, {518, 311}, {661, 424}, {568, 442}, {1004, 794}, {504, 592}, {367, 592}, {221, 672}, {67, 271}, {34, 177}, {-526, 14670}, {-108, 541}, {-616, 849}, {-663, 863}, {-769, 956}, {-1245, 990}, {-2033, 1010}, {-1105, 495}, {-1916, 678}, {-2491, 745}, {-3117, 877}, {-980, 263}, {-3333, 680}, {-3790, 536}});
+    TestOptimalLinearization("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"_hex_u8, {39, 32, 35, 18, 28, 7, 44, 12, 10, 25, 37, 19, 0, 20, 22, 14, 26, 8, 29, 6, 23, 45, 27, 2, 51, 33, 13, 9, 21, 47, 15, 42, 36, 46, 52, 30, 24, 16, 50, 11, 34, 17, 40, 41, 38, 5, 4, 31, 49, 1, 43, 3, 48});
-    TestOptimalLinearization("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"_hex_v_u8, {{5374, 740}, {1600, 226}, {4365, 637}, {1082, 182}, {4709, 829}, {3468, 637}, {2526, 585}, {2197, 637}, {2833, 993}, {14949, 22604}, {69, 202}, {-130, 886}, {-171, 762}, {-649, 344}, {-611, 256}, {-751, 241}, {-4007, 1034}, {-625, 156}, {-1617, 398}, {-3689, 877}, {-971, 229}, {-2929, 643}, {-2795, 596}, {-2240, 332}, {-7781, 991}});
+    TestOptimalLinearization("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"_hex_u8, {3, 50, 39, 12, 20, 41, 48, 9, 22, 38, 17, 26, 42, 59, 1, 24, 51, 5, 47, 61, 46, 55, 44, 15, 28, 57, 60, 56, 33, 32, 11, 31, 25, 30, 36, 37, 34, 8, 53, 35, 14, 49, 43, 40, 23, 18, 45, 19, 4, 21, 16, 10, 13, 2, 6, 54, 58, 7, 29, 0, 52, 27});
-    TestOptimalLinearization("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"_hex_v_u8, {{3242, 1160}, {9343, 4022}, {7247, 25626}, {-574, 1753}, {-2604, 5019}, {-2887, 1089}});
+    TestOptimalLinearization("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"_hex_u8, {58, 32, 26, 8, 42, 13, 5, 60, 21, 12, 31, 18, 53, 6, 14, 23, 2, 11, 55, 52, 17, 63, 7, 44, 36, 33, 27, 49, 59, 43, 1, 19, 39, 41, 35, 4, 48, 29, 62, 34, 56, 46, 10, 9, 20, 61, 25, 50, 15, 37, 0, 30, 22, 40, 28, 51, 16, 24, 45, 3, 38, 54, 47, 57});
-    TestOptimalLinearization("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"_hex_v_u8, {{2932, 731}, {1341, 504}, {3541, 2737}, {492, 640}, {40, 106}, {72, 211}, {-779, 2654}, {-2914, 8443}, {-359, 577}, {-2424, 572}});
+    TestOptimalLinearization("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"_hex_u8, {9, 18, 4, 1, 0, 2, 7, 28, 17, 15, 20, 30, 27, 23, 19, 5, 24, 8, 13, 10, 16, 26, 14, 29, 6, 11, 25, 22, 21, 3, 12});
-    TestOptimalLinearization("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"_hex_v_u8, {{6122, 1002}, {7354, 1720}, {2575, 735}, {1254, 454}, {1609, 1061}, {302, 747}, {-6224, 20869}});
+    TestOptimalLinearization("8015812700866ade5401811c8f7b028442ac3003866fc73d00058220984901048676c4440204813194740500057b8b1b060005845fa71e050106837bb34d060003853abd55070001008519ab1102030e824f94580602000a8405b15c0403020b806a8b78040303088724be690603020380708230080003000d851f9b5d05050000008674dc540401050011864f9652060200020110841c8a61090001000101832c8819060303000005814b9c160601010400068109885a06050002018304b203050001061686419e69020b00128638c97d0a010100000000000018856dc2060302080000028419b54c0307030781568573090300000000000000028428a7150702000100001d864db25f020207000a85409403000700000018822f920c0300010201001483409a1a0501000100000013856ac8200400010000010011803e8f620500000000000019836692540302000000208548895a00000000000c867ecc2801000000000a00"_hex_u8, {7, 34, 25, 20, 0, 14, 24, 9, 23, 15, 1, 26, 22, 3, 31, 12, 36, 35, 33, 19, 8, 28, 5, 32, 17, 11, 40, 39, 37, 38, 29, 10, 2, 4, 13, 21, 18, 16, 6, 30, 27});
-    TestOptimalLinearization("8677a44400823d9b1101847c893e0102831ea2130201865b944502028560ac640301856cc01101088644cc2c0302867ea77d0008843d8949040202843a9d0307000081528f5707000005804e8c5b0403000585169c7e06000201834e8e0d0503000d835e96250500000f8628a9550104078018847d0302000201821f90780301000002000681648442030103028433976b070000000000000e844a9116040202000d82349016000880158b240600010100108006831101060001850bb04e0101010100088723835a010002010c830593360203000003811a8e150400000000001c7f8168010000001300"_hex_v_u8, {{2402, 1015}, {2700, 1506}, {671, 764}, {1129, 1309}, {-7302, 12461}, {-1410, 818}, {-971, 282}});
+    TestOptimalLinearization("8677a44400823d9b1101847c893e0102831ea2130201865b944502028560ac640301856cc01101088644cc2c0302867ea77d0008843d8949040202843a9d0307000081528f5707000005804e8c5b0403000585169c7e06000201834e8e0d0503000d835e96250500000f8628a9550104078018847d0302000201821f90780301000002000681648442030103028433976b070000000000000e844a9116040202000d82349016000880158b240600010100108006831101060001850bb04e0101010100088723835a010002010c830593360203000003811a8e150400000000001c7f8168010000001300"_hex_u8, {5, 6, 22, 1, 15, 21, 9, 19, 12, 2, 27, 17, 13, 14, 18, 4, 23, 11, 29, 28, 3, 8, 24, 16, 25, 20, 26, 7, 10, 0});
-    TestOptimalLinearization("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"_hex_v_u8, {{7322, 1810}, {2404, 2903}, {8842, 11211}, {4511, 6807}, {764, 2139}, {-1680, 551}, {-4367, 1277}, {-10769, 2999}, {-2074, 527}});
+    TestOptimalLinearization("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"_hex_u8, {17, 14, 41, 27, 4, 1, 16, 39, 29, 0, 25, 20, 7, 5, 18, 44, 19, 2, 38, 10, 33, 22, 23, 45, 42, 30, 6, 37, 24, 11, 43, 21, 9, 40, 28, 12, 31, 3, 34, 35, 15, 13, 36, 8, 32, 26});
-    TestOptimalLinearization("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"_hex_v_u8, {{10199, 1606}, {3065, 523}, {1786, 1053}, {1089, 913}, {792, 773}, {1104, 1232}, {13868, 19409}, {-4512, 8170}, {-567, 110}});
+    TestOptimalLinearization("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"_hex_u8, {31, 32, 54, 2, 29, 0, 20, 21, 26, 47, 7, 1, 37, 13, 51, 34, 14, 49, 48, 36, 27, 24, 23, 53, 28, 43, 44, 30, 52, 39, 35, 16, 19, 5, 50, 8, 11, 22, 15, 40, 25, 46, 10, 18, 12, 3, 4, 17, 38, 6, 45, 55, 33, 9, 42, 41});
-    TestOptimalLinearization("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"_hex_v_u8, {{1532, 222}, {2915, 429}, {697, 126}, {3528, 696}, {4357, 912}, {4628, 1011}, {1679, 380}, {1411, 343}, {4387, 1081}, {415, 106}, {2696, 766}, {3104, 890}, {3306, 1007}, {672, 389}, {411, 244}, {296, 219}, {906, 713}, {134, 132}, {-227, 896}, {-3629, 13571}, {-188, 691}, {-356, 844}, {-500, 1083}, {-468, 910}, {-1696, 1065}, {-899, 558}, {-330, 161}, {-2614, 797}, {-3343, 867}, {-3385, 863}, {-3047, 706}, {-2051, 404}, {-2043, 324}, {-2980, 458}});
+    TestOptimalLinearization("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"_hex_u8, {3, 13, 28, 30, 12, 1, 21, 22, 40, 18, 44, 50, 4, 37, 36, 48, 11, 2, 15, 46, 49, 52, 9, 5, 34, 14, 17, 53, 47, 24, 8, 19, 33, 25, 41, 23, 29, 35, 26, 39, 10, 27, 43, 16, 38, 31, 54, 0, 45, 7, 6, 20, 32, 51, 42});
-    TestOptimalLinearization("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"_hex_v_u8, {{6688, 962}, {6183, 913}, {5814, 935}, {2756, 533}, {4112, 831}, {1141, 239}, {1887, 625}, {1151, 471}, {389, 227}, {1403, 958}, {-30, 416}, {-49, 180}, {-13972, 17369}, {-1102, 893}, {-1708, 956}, {-438, 240}, {-1721, 917}, {-1615, 779}, {-1905, 772}, {-629, 232}, {-2186, 686}, {-1117, 279}, {-1978, 429}, {-1474, 271}, {-3125, 564}, {-1904, 339}, {-3661, 646}, {-3062, 448}, {-3846, 562}, {-1792, 243}, {-8026, 1066}});
+    TestOptimalLinearization("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"_hex_u8, {40, 24, 5, 56, 16, 22, 18, 50, 3, 33, 53, 43, 52, 4, 49, 37, 47, 59, 13, 58, 54, 41, 44, 27, 39, 11, 10, 34, 45, 55, 31, 14, 32, 25, 38, 8, 1, 20, 26, 12, 2, 6, 7, 21, 36, 51, 29, 9, 42, 23, 28, 30, 17, 57, 15, 19, 48, 46, 35, 0});
-    TestOptimalLinearization("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"_hex_v_u8, {{2562, 604}, {2588, 663}, {982, 316}, {2708, 904}, {8802, 12587}, {-198, 177}, {-961, 544}, {-1534, 843}, {-3237, 835}, {-704, 168}, {-2842, 568}, {-3479, 682}, {-4244, 721}});
+    TestOptimalLinearization("822f8a1500813c8e2c01812b92570280708513038608a92804835ca704058668d931068417a738078402a65b08853f9749098176994f0a81438c730b8261827e0c816c816f0d831d8a450e825a901f0f8105852600000000000000000000000000000000108338ab330100000000000000000000000000000010852dbe30020000000000000000000000000000000e82419630030000000000000000000000000000000d813c867c040000000000000000000000000000000b831b9d1a050000000000000000000000000000000b84069108060000000000000000000000000000000b854b967b070000000000000000000000000000000b8031820b080000000000000000000000000000000b81518a2e090000000000000000000000000000000b83208e010a0000000000000000000000000000000a8670d4660b0000000000000000000000000000000a860dce2a0c0000000000000000000000000000000a8451c1270d000000000000000000000000000000098543b1490e0000000000000000000000000000000883609b660f00000000000000000000000000000006843da97210000000000000000000000000000000068028897f1100000000000000000000000000000000842ab52d120000000000000000000000000000000000"_hex_u8, {15, 21, 3, 8, 29, 30, 31, 7, 2, 24, 32, 28, 23, 5, 27, 19, 18, 17, 4, 26, 10, 6, 25, 14, 11, 9, 0, 13, 16, 12, 22, 33, 1, 34, 20});
-    TestOptimalLinearization("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"_hex_v_u8, {{3156, 563}, {1594, 1161}, {3115, 10582}, {-3684, 5344}, {-423, 547}, {-4401, 3628}, {-1634, 871}});
+    TestOptimalLinearization("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"_hex_u8, {27, 39, 30, 29, 6, 21, 18, 15, 3, 0, 1, 33, 37, 23, 24, 9, 22, 31, 10, 20, 16, 26, 11, 32, 4, 34, 38, 5, 13, 12, 2, 8, 28, 35, 17, 19, 14, 36, 7, 25});
-    TestOptimalLinearization("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"_hex_v_u8, {{588, 201}, {3571, 2051}, {6111, 4552}, {5853, 5439}, {4559, 5181}, {-800, 860}, {-4457, 3265}, {-2115, 528}, {-5784, 1063}});
+    TestOptimalLinearization("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"_hex_u8, {33, 7, 35, 23, 15, 34, 29, 9, 28, 13, 10, 6, 5, 27, 30, 3, 8, 31, 20, 32, 12, 19, 18, 2, 21, 25, 16, 26, 24, 4, 22, 17, 0, 1, 14, 11});
-    TestOptimalLinearization("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"_hex_v_u8, {{636, 111}, {5730, 1061}, {2332, 441}, {3585, 1065}, {920, 290}, {974, 311}, {2557, 979}, {837, 445}, {1825, 981}, {125, 101}, {2546, 9635}, {-215, 157}, {-269, 149}, {-223, 112}, {-3136, 1070}, {-418, 134}, {-2306, 729}, {-685, 159}, {-1413, 254}});
+    TestOptimalLinearization("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"_hex_u8, {20, 6, 21, 16, 23, 10, 30, 35, 26, 4, 0, 24, 33, 3, 19, 7, 22, 28, 12, 14, 9, 1, 8, 34, 17, 25, 5, 15, 29, 18, 13, 32, 2, 31, 27, 11});
-    TestOptimalLinearization("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"_hex_v_u8, {{5282, 945}, {4698, 957}, {3874, 805}, {692, 155}, {14104, 3949}, {6151, 2252}, {345, 908}, {-589, 2663}, {-696, 870}, {-892, 981}, {-1375, 1112}, {-32657, 11825}});
+    TestOptimalLinearization("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"_hex_u8, {28, 19, 25, 32, 30, 1, 2, 27, 14, 10, 22, 34, 12, 41, 33, 36, 0, 8, 17, 5, 18, 11, 35, 3, 6, 21, 7, 29, 37, 39, 20, 26, 42, 24, 38, 4, 13, 15, 31, 9, 23, 16, 40});
-    TestOptimalLinearization("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"_hex_v_u8, {{5265, 1000}, {4404, 894}, {4377, 896}, {3553, 734}, {3692, 969}, {969, 459}, {456, 220}, {1443, 945}, {-64, 246}, {-80, 297}, {-448, 791}, {-4017, 6631}, {-664, 505}, {-577, 294}, {-1610, 603}, {-1713, 556}, {-2810, 884}, {-585, 164}, {-1038, 230}, {-4873, 1056}, {-3019, 597}, {-1209, 235}});
+    TestOptimalLinearization("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"_hex_u8, {21, 28, 29, 25, 10, 1, 4, 9, 7, 5, 31, 23, 24, 14, 12, 20, 6, 16, 27, 17, 8, 3, 22, 0, 19, 13, 30, 26, 18, 15, 11, 2});
-    TestOptimalLinearization("866db148008305944a018340810400038721c963010282528f4802028532a1260301852e954c030685778653050002668530010c806a4a020c8451aa0f030102866c8e250202000b812e9071060000000009852f875105010000000d834e98750400020003814b8b63040000020007840fa646050000020001812c891d0203021082428c7606000001000d822e875d01118502bf170701000006840a8e6c050002010a820c9b1c0204107c871f030100031682259a480401000300188676815a0107128034845b03030002138458a24205000000000013861ca528050000000001048560b41e0200000101000e80618757020200001300"_hex_v_u8, {{3236, 1005}, {3576, 1335}, {1060, 466}, {1984, 1492}, {37, 234}, {-3095, 13613}, {-556, 225}});
+    TestOptimalLinearization("866db148008305944a018340810400038721c963010282528f4802028532a1260301852e954c030685778653050002668530010c806a4a020c8451aa0f030102866c8e250202000b812e9071060000000009852f875105010000000d834e98750400020003814b8b63040000020007840fa646050000020001812c891d0203021082428c7606000001000d822e875d01118502bf170701000006840a8e6c050002010a820c9b1c0204107c871f030100031682259a480401000300188676815a0107128034845b03030002138458a24205000000000013861ca528050000000001048560b41e0200000101000e80618757020200001300"_hex_u8, {18, 25, 28, 22, 13, 15, 4, 6, 23, 30, 21, 29, 1, 5, 10, 20, 27, 19, 2, 17, 0, 12, 14, 7, 3, 9, 24, 16, 8, 26, 11});
-    TestOptimalLinearization("8260991f008662892d0001837fa91b01008401a85d0001870cad1f0101810c8658010681356a0206846b824c0400058661c47805000183058c7104028609914d06000a864fc143070004852fb7020601078132943c03040008845eb202040201048626a67f02000682358c18040004000384249049050000030781428c4c02020c8361962f030204028078873307000001010008821b986c0205010005853b8a0e070001000000000c8260956c0301040c862ca078030000010200186b825d010401000c807d930100040101821196590500000000000000088235880e020000001300"_hex_v_u8, {{1910, 8479}, {-3111, 8308}, {-1517, 401}, {-1281, 253}});
+    TestOptimalLinearization("8260991f008662892d0001837fa91b01008401a85d0001870cad1f0101810c8658010681356a0206846b824c0400058661c47805000183058c7104028609914d06000a864fc143070004852fb7020601078132943c03040008845eb202040201048626a67f02000682358c18040004000384249049050000030781428c4c02020c8361962f030204028078873307000001010008821b986c0205010005853b8a0e070001000000000c8260956c0301040c862ca078030000010200186b825d010401000c807d930100040101821196590500000000000000088235880e020000001300"_hex_u8, {8, 5, 10, 21, 4, 24, 26, 19, 6, 2, 7, 3, 18, 1, 11, 23, 12, 13, 17, 28, 16, 22, 25, 14, 0, 15, 9, 20, 27});
-    TestOptimalLinearization("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"_hex_v_u8, {{6469, 1056}, {1595, 782}, {12744, 6989}, {-189, 1663}, {-1826, 9149}, {-470, 674}, {-615, 650}, {-8266, 5425}, {-5939, 1093}});
+    TestOptimalLinearization("842ba05d0083138d6d018720e40a0268816b038548bc49000684269a620105840dab78030007850cc00c010009835486260200088667873a0300078065811006000103865b943f050303836db67905078749c8200700010b8742c257080001000d8351a3460500098604a67e060000108355896d0407000c8712b40005050004832e854607000400128421a30704060f8416944b020a01804e8d5207020100001081598f290209088422862b0700030306867cb04a06030100128733c8370005050e840a884d020105031b8477ba4404050100020886669d270203051886378d2e04030100020000000d8745db65020700000000198465845e0205001382059f3a07020001000000001c843ca06304060100001c854d8f670208000b81519352000004000f84598017000001000200"_hex_u8, {34, 37, 33, 23, 1, 17, 4, 14, 16, 20, 29, 10, 31, 32, 7, 24, 12, 26, 2, 36, 11, 27, 28, 3, 13, 15, 5, 22, 30, 0, 19, 9, 18, 25, 6, 21, 35, 8});
-    TestOptimalLinearization("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"_hex_v_u8, {{2465, 343}, {4765, 718}, {5953, 921}, {5398, 856}, {1618, 270}, {556, 110}, {3443, 695}, {2145, 528}, {1404, 385}, {3699, 1070}, {3096, 1010}, {1791, 650}, {575, 251}, {17859, 10290}, {151, 109}, {168, 122}, {756, 564}, {587, 956}, {286, 586}, {224, 1089}, {178, 867}, {-255, 295}, {-1136, 1080}, {-1971, 962}, {-1790, 668}, {-1239, 436}, {-494, 147}, {-2508, 619}, {-653, 151}, {-4079, 880}, {-4722, 971}, {-1127, 223}, {-2079, 407}, {-4927, 880}, {-4775, 753}, {-4198, 645}});
+    TestOptimalLinearization("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"_hex_u8, {11, 14, 7, 50, 4, 52, 38, 36, 34, 17, 41, 6, 47, 29, 16, 20, 43, 13, 42, 35, 24, 27, 40, 33, 26, 39, 15, 0, 46, 2, 19, 30, 31, 25, 5, 37, 49, 9, 51, 28, 44, 12, 18, 23, 32, 8, 3, 10, 1, 45, 21, 22, 48});
-    TestOptimalLinearization("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"_hex_v_u8, {{6971, 990}, {2555, 380}, {2543, 416}, {1011, 182}, {9375, 2190}, {3834, 926}, {7100, 2111}, {24543, 8471}, {999, 354}, {948, 782}, {3401, 2813}, {599, 974}, {-2440, 4852}, {-946, 474}, {-9312, 3117}, {-3594, 1125}, {-1603, 393}, {-4641, 790}});
+    TestOptimalLinearization("852dbb7700865eeb7601817ca676028220a65e000580368e660204850932030281369816030106872caf420208861bdc08020209861eba7403020880378d6703020b8253965b040209823f95360013826ab4040402048713bd3606010101817f88540009837cb26c060003000d81628e4e07000300058009811605000511817a9c10090002000005821e9379040700048656d7620500060b850e8d6803080008841a9f44040700138239a535060005010f842e81630605000114822a8f73040800000a8539b3580b010000028407c670020a0e811f0b050702058616cb1303081c8315ae6406040301001c806f9921020c16860fe23e040c038563cf050a0001040f8023842d020e16803f885c050700040182109c010206080d8242ae6702042c813ca3320209041f843ec61401030a1082659641080201020223864cbc42010e1e8442a279012980608866010b0010836c991e0106010f8637903f09010002001e820998050a0500000000108328b41c0200050a825a8d63000b0f827bb9030009108152923704020300020080298155060201020000048023802102093283758a2c000600010035805a8403030203218516c7410300010000000200"_hex_u8, {33, 47, 24, 27, 46, 7, 42, 18, 25, 50, 55, 29, 26, 13, 15, 41, 16, 0, 3, 52, 2, 9, 12, 28, 49, 40, 39, 45, 17, 21, 6, 32, 14, 23, 5, 31, 43, 35, 8, 19, 44, 10, 48, 53, 11, 37, 30, 20, 38, 4, 1, 36, 51, 56, 22, 34, 54});
-    TestOptimalLinearization("803894000087239a23018325873d02812fa0580100028315a2570200027c8a3f0300028608b21b030102870aeb0c05000283728121060000853fcb4d070000856ddb50020b802c927803030b8361c41105030a874af55b050209814d825101168319b7420600040e752f0601030e8054947c0700000d841ca56f0409817a26080501827cb2340108020c83239b340301060d8155a0020a0000000207867cea37010b06836bc00905060101000001836abc570a0300000000001680228f7d0703030000108400ac050703000002168302853b08000103000100068418c6790602010002020017865793550603001c803d84280d00000001000011850c812901168671af190a01010004000783159302060029850a6102081f8718ee2b010703218544d150040b0008835680790607020200804c8d43010f27870b9069030d00218168a83f0117857fe51c06080102001c80248c6b070604001c8526a136060308188607ad41030d010c8576ca010d03000102088545b84a050d0000002e805e934e020a0500078539a877040003092a825e977203040102348342bc010408020101000000198622e778010d000017801582190300000802822b833a07020003000000000000338702ca070108000000002c806c957307000001000100000000028350c36105000200000200002b8315a53205020000000001002000"_hex_v_u8, {{1344, 184}, {14532, 3445}, {2929, 1712}, {19, 378}, {-2610, 2705}, {-19575, 18795}, {-12674, 4996}, {-2889, 974}, {-4804, 1026}, {-1466, 236}, {-3905, 578}, {-4401, 592}});
+    TestOptimalLinearization("803894000087239a23018325873d02812fa0580100028315a2570200027c8a3f0300028608b21b030102870aeb0c05000283728121060000853fcb4d070000856ddb50020b802c927803030b8361c41105030a874af55b050209814d825101168319b7420600040e752f0601030e8054947c0700000d841ca56f0409817a26080501827cb2340108020c83239b340301060d8155a0020a0000000207867cea37010b06836bc00905060101000001836abc570a0300000000001680228f7d0703030000108400ac050703000002168302853b08000103000100068418c6790602010002020017865793550603001c803d84280d00000001000011850c812901168671af190a01010004000783159302060029850a6102081f8718ee2b010703218544d150040b0008835680790607020200804c8d43010f27870b9069030d00218168a83f0117857fe51c06080102001c80248c6b070604001c8526a136060308188607ad41030d010c8576ca010d03000102088545b84a050d0000002e805e934e020a0500078539a877040003092a825e977203040102348342bc010408020101000000198622e778010d000017801582190300000802822b833a07020003000000000000338702ca070108000000002c806c957307000001000100000000028350c36105000200000200002b8315a53205020000000001002000"_hex_u8, {6, 42, 23, 38, 18, 36, 51, 50, 4, 55, 24, 52, 34, 39, 10, 25, 32, 37, 40, 35, 53, 29, 46, 17, 41, 19, 44, 54, 20, 22, 45, 2, 27, 31, 57, 13, 0, 8, 28, 7, 47, 48, 1, 5, 33, 43, 21, 15, 12, 16, 49, 26, 3, 9, 58, 11, 56, 30, 14});
-    TestOptimalLinearization("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"_hex_v_u8, {{4804, 1029}, {1721, 433}, {-813, 15413}, {-1617, 12598}, {-7653, 3678}});
+    TestOptimalLinearization("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"_hex_u8, {1, 26, 34, 35, 33, 31, 38, 46, 19, 49, 27, 8, 5, 0, 36, 55, 4, 17, 47, 3, 18, 41, 6, 30, 37, 51, 53, 29, 15, 11, 10, 12, 50, 24, 7, 43, 16, 52, 9, 44, 28, 14, 45, 2, 48, 22, 23, 42, 39, 54, 13, 20, 25, 32, 40, 21});
-    TestOptimalLinearization("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"_hex_v_u8, {{4594, 602}, {1855, 249}, {1121, 151}, {5310, 719}, {7657, 1052}, {5449, 1012}, {2001, 416}, {2550, 1090}, {18542, 18063}, {240, 241}, {198, 209}, {187, 758}, {-92, 337}, {-238, 831}, {-132, 262}, {-570, 447}, {-1294, 753}, {-1293, 585}, {-2195, 868}, {-1374, 498}, {-1902, 649}, {-2493, 710}, {-1277, 262}, {-3037, 614}, {-759, 120}, {-3684, 573}, {-2233, 336}, {-1498, 215}});
+    TestOptimalLinearization("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"_hex_u8, {5, 38, 36, 56, 24, 44, 2, 41, 27, 50, 37, 35, 55, 8, 7, 0, 19, 54, 11, 25, 6, 12, 26, 40, 18, 58, 31, 4, 48, 3, 47, 30, 29, 14, 52, 34, 53, 42, 17, 13, 46, 20, 45, 23, 32, 1, 21, 9, 16, 49, 39, 15, 51, 28, 22, 10, 33, 57, 43});
 
     // Clusters which admit repeated states in SFL.
-    TestOptimalLinearization("862ea341008713833c018745817502827a814f0382528b6704813381280581308548010005815a8e7a0100010684019f0005000003802783720500000009856cae0005000001028601ac0e050000000475811a0601000000008135834c070000000000088007863e0800000000000284299b710900000000000200"_hex_v_u8, {{7533, 8149}, {-1849, 681}});
+    TestOptimalLinearization("862ea341008713833c018745817502827a814f0382528b6704813381280581308548010005815a8e7a0100010684019f0005000003802783720500000009856cae0005000001028601ac0e050000000475811a0601000000008135834c070000000000088007863e0800000000000284299b710900000000000200"_hex_u8, {14, 2, 3, 6, 11, 10, 4, 8, 1, 12, 9, 7, 0, 15, 5, 13});
-    TestOptimalLinearization("82759235008069896c0186438e3d028244912600000003851ba405010000038214845c0200000183018a4b03000001807f841f00000000078573823a0100000007820f8a65020000000164805703000000018622ab5804000000018412936600000000000c82749c04010000000008832b977602000000000700"_hex_v_u8, {{694, 233}, {2856, 7908}});
+    TestOptimalLinearization("82759235008069896c0186438e3d028244912600000003851ba405010000038214845c0200000183018a4b03000001807f841f00000000078573823a0100000007820f8a65020000000164805703000000018622ab5804000000018412936600000000000c82749c04010000000008832b977602000000000700"_hex_u8, {8, 14, 6, 3, 9, 10, 4, 13, 2, 12, 1, 11, 5, 7, 0});
-    TestOptimalLinearization("85478e3b00823c904101820c893f0283179c5903814c893104854282530583429f140100000103830d8509010001000284409a70020100000181168c190300000001088718b06a0400000001058553ac2c0500000000000b8506a22e060000000000008552803a0000000008800f861e020000010008817c844802000100010700"_hex_v_u8, {{6613, 7335}, {-322, 2176}});
+    TestOptimalLinearization("85478e3b00823c904101820c893f0283179c5903814c893104854282530583429f140100000103830d8509010001000284409a70020100000181168c190300000001088718b06a0400000001058553ac2c0500000000000b8506a22e060000000000008552803a0000000008800f861e020000010008817c844802000100010700"_hex_u8, {13, 1, 4, 11, 3, 9, 5, 0, 7, 15, 14, 12, 2, 6, 8, 10});
-    TestOptimalLinearization("8146845100804b890d0186768b55028406a32f03863ca23104832f8e3b05810a892b0680358253078502ac5d08872d96700983718004000100000002018273952801010001000100097b3c02020000000100058562a14203010000000000010d8718817804000000010000000c862f956c050000000000000000000900"_hex_v_u8, {{1528, 1069}, {-5842, 9025}});
+    TestOptimalLinearization("8146845100804b890d0186768b55028406a32f03863ca23104832f8e3b05810a892b0680358253078502ac5d08872d96700983718004000100000002018273952801010001000100097b3c02020000000100058562a14203010000000000010d8718817804000000010000000c862f956c050000000000000000000900"_hex_u8, {14, 5, 1, 12, 9, 8, 11, 2, 15, 7, 4, 0, 10, 13, 6, 3});
-    TestOptimalLinearization("8460992400872dbd1901867fb07f02852a817d00000003852d87540100000181348f60020000018435942b03000000837f8943000000000681608e730100000005857da67f0200000005843794080300000004658217040000000086628a1500000000000b8708805401000000000a847fa32402000000000700"_hex_v_u8, {{1682, 736}, {-8507, 10189}});
+    TestOptimalLinearization("8460992400872dbd1901867fb07f02852a817d00000003852d87540100000181348f60020000018435942b03000000837f8943000000000681608e730100000005857da67f0200000005843794080300000004658217040000000086628a1500000000000b8708805401000000000a847fa32402000000000700"_hex_u8, {4, 12, 8, 11, 10, 0, 13, 9, 2, 14, 6, 5, 7, 3, 1});
-    TestOptimalLinearization("81668e3500804e844f018435927302861f9d5f03846ea342010000018261897a010000018165831102000100863e895003000000078232985e04000000018606823f000001000986318a570200000009804300020100000981408323040000000885179a260400000000068510af7800000000000b8360966f01000000000000"_hex_v_u8, {{4144, 9101}, {-1528, 608}});
+    TestOptimalLinearization("81668e3500804e844f018435927302861f9d5f03846ea342010000018261897a010000018165831102000100863e895003000000078232985e04000000018606823f000001000986318a570200000009804300020100000981408323040000000885179a260400000000068510af7800000000000b8360966f01000000000000"_hex_u8, {7, 9, 11, 12, 6, 13, 10, 4, 0, 14, 8, 2, 1, 5, 3, 15});
-    TestOptimalLinearization("861e862e00851aa57f018060816b02831ba009038628b818048576b3010580072a068478911d07854fa8600003000007816d86560200000000048576b11403000000010009850aa7100300000100010782178f040400010000010280758a22050100000000000d860eb344060000000000010c8501975a070000000001000500"_hex_v_u8, {{3660, 936}, {6832, 9471}});
+    TestOptimalLinearization("861e862e00851aa57f018060816b02831ba009038628b818048576b3010580072a068478911d07854fa8600003000007816d86560200000000048576b11403000000010009850aa7100300000100010782178f040400010000010280758a22050100000000000d860eb344060000000000010c8501975a070000000001000500"_hex_u8, {9, 1, 14, 7, 15, 4, 11, 8, 2, 3, 6, 5, 0, 13, 10, 12});
-    TestOptimalLinearization("802e7300824b95370000821c8a5e0002827a89580102813185560201867ba17f0301810e83580000000000835d9a0c010000000087218c1602000000008458905a03000000008319937d00000000068216900801000000068677ab2a0200000005826f91710300000004864f4404000000038702ac3c00000000000900"_hex_v_u8, {{6067, 6956}, {392, 3033}});
+    TestOptimalLinearization("802e7300824b95370000821c8a5e0002827a89580102813185560201867ba17f0301810e83580000000000835d9a0c010000000087218c1602000000008458905a03000000008319937d00000000068216900801000000068677ab2a0200000005826f91710300000004864f4404000000038702ac3c00000000000900"_hex_u8, {2, 9, 0, 3, 1, 7, 13, 15, 11, 14, 8, 5, 12, 10, 4, 6});
-    TestOptimalLinearization("8151801500823e835201842ba81902837b881e038674b461048676897a058369894306873e8511078514a802010001010001833a8f51010001000100078236885502000101000003872cab780300000101000381035605000000000000038123825305010000000000018152847106000000000000000100"_hex_v_u8, {{5948, 5991}, {-8330, 3591}});
+    TestOptimalLinearization("8151801500823e835201842ba81902837b881e038674b461048676897a058369894306873e8511078514a802010001010001833a8f51010001000100078236885502000101000003872cab780300000101000381035605000000000000038123825305010000000000018152847106000000000000000100"_hex_u8, {4, 6, 1, 0, 14, 10, 11, 8, 5, 2, 3, 9, 12, 13, 7});
-    TestOptimalLinearization("6f845f008472960a01842084330286779f7903800786310481588d0505865994390683449e480100000000000387218e3a02000000000000811d22020000000100008500812a0300000000000003825e970e04000000000000028436815a05000000000000027c812e060000000000000000"_hex_v_u8, {{1477, 754}, {-526, 7248}});
+    TestOptimalLinearization("6f845f008472960a01842084330286779f7903800786310481588d0505865994390683449e480100000000000387218e3a02000000000000811d22020000000100008500812a0300000000000003825e970e04000000000000028436815a05000000000000027c812e060000000000000000"_hex_u8, {1, 2, 8, 3, 6, 0, 5, 4, 9, 13, 11, 10, 7, 12});
-    TestOptimalLinearization("83419a7b00860e9172000183289a1901018157824f020183209e53030085398e5a040081458e2d00010000068334a04c010000000005840d8f1d02000000000281398b70030000000000872f8f5a040000000000816a8070010000000b843ba5140100000109823a91680200000000078267903303000000000700"_hex_v_u8, {{2212, 8180}, {-1114, 487}});
+    TestOptimalLinearization("83419a7b00860e9172000183289a1901018157824f020183209e53030085398e5a040081458e2d00010000068334a04c010000000005840d8f1d02000000000281398b70030000000000872f8f5a040000000000816a8070010000000b843ba5140100000109823a91680200000000078267903303000000000700"_hex_u8, {9, 2, 12, 8, 5, 1, 11, 4, 13, 14, 10, 3, 6, 0, 7});
-    TestOptimalLinearization("867e816800827e9a7101811c8f470000018613905501000080708c0e020000865c963a030000873a834e0400008267921900000000000486238a5a0100000000028614914a020000000002823083560300000000008652993e040000000000813c8e03010000000a803c817601010000028507990402000000000a00"_hex_v_u8, {{3395, 9748}, {-962, 316}});
+    TestOptimalLinearization("867e816800827e9a7101811c8f470000018613905501000080708c0e020000865c963a030000873a834e0400008267921900000000000486238a5a0100000000028614914a020000000002823083560300000000008652993e040000000000813c8e03010000000a803c817601010000028507990402000000000a00"_hex_u8, {0, 3, 7, 10, 11, 6, 1, 14, 9, 8, 13, 5, 4, 12, 2});
-    TestOptimalLinearization("856d9d530083029d1d0186429d3f02866b927b038234947a000201835389400101028460895c0201000582128f5303000100803183290400000184358f790500010082779924060000000682416d0700000006867b9a4003000000000a83149b200100010100000482488f62020100000000000b00"_hex_v_u8, {{-524, 9354}});
+    TestOptimalLinearization("856d9d530083029d1d0186429d3f02866b927b038234947a000201835389400101028460895c0201000582128f5303000100803183290400000184358f790500010082779924060000000682416d0700000006867b9a4003000000000a83149b200100010100000482488f62020100000000000b00"_hex_u8, {11, 5, 0, 8, 14, 12, 4, 6, 9, 1, 7, 13, 10, 3, 2});
-    TestOptimalLinearization("8748865d0082558d3d01825d8f7a0281678623000003815e8b750100000277831e02000001873d8f3a03000000805b841f0001000682548f0b010000018376891e0200000007826d8320030000000482288b71040000000282078b0c000000000d82288e26010000000d872994040200010009800e800a03000000000b00"_hex_v_u8, {{1085, 477}, {513, 7734}});
+    TestOptimalLinearization("8748865d0082558d3d01825d8f7a0281678623000003815e8b750100000277831e02000001873d8f3a03000000805b841f0001000682548f0b010000018376891e0200000007826d8320030000000482288b71040000000282078b0c000000000d82288e26010000000d872994040200010009800e800a03000000000b00"_hex_u8, {12, 2, 9, 11, 14, 7, 8, 5, 10, 3, 13, 15, 1, 0, 6, 4});
-    TestOptimalLinearization("817b8f1100832c965701811b8a4400000281418f16010002804f86370200028573941d0300028179820f04000280238743000000000006845291470100000000037f826c0200000000018602a563030000000001850d902000000000058652826301000000058673a03602000000028379970d030000000200"_hex_v_u8, {{-3780, 7686}, {-1543, 633}});
+    TestOptimalLinearization("817b8f1100832c965701811b8a4400000281418f16010002804f86370200028573941d0300028179820f04000280238743000000000006845291470100000000037f826c0200000000018602a563030000000001850d902000000000058652826301000000058673a03602000000028379970d030000000200"_hex_u8, {9, 14, 2, 0, 8, 4, 3, 10, 5, 13, 1, 11, 6, 7, 12});
-    TestOptimalLinearization("85179c690081659269018635831a02866289680385438d3704867eae70058726b035068009856307816e926001000100048742b83801000000010a822190360201000001098721b05603000000000108861db2580401000001000080758a30050000010000000d8354a334060100000000000d8629a87c070000010000000a00"_hex_v_u8, {{3064, 1022}, {11548, 10758}});
+    TestOptimalLinearization("85179c690081659269018635831a02866289680385438d3704867eae70058726b035068009856307816e926001000100048742b83801000000010a822190360201000001098721b05603000000000108861db2580401000001000080758a30050000010000000d8354a334060100000000000d8629a87c070000010000000a00"_hex_u8, {11, 9, 8, 10, 2, 13, 12, 14, 3, 6, 1, 15, 7, 0, 5, 4});
-    TestOptimalLinearization("813d894b008263966701802d827f028375997a00000003861891180100000387219a68020000018462827503000001821a924504000001833a9d16000000000003810e8d2d01000000000284299632020000000001820993160300000000008656b4780000000009845c8f03010000000300"_hex_v_u8, {{7961, 7623}, {-1026, 732}});
+    TestOptimalLinearization("813d894b008263966701802d827f028375997a00000003861891180100000387219a68020000018462827503000001821a924504000001833a9d16000000000003810e8d2d01000000000284299632020000000001820993160300000000008656b4780000000009845c8f03010000000300"_hex_u8, {12, 2, 4, 0, 5, 1, 7, 9, 6, 13, 11, 8, 3, 10});
-    TestOptimalLinearization("86639b0b0084139655018156830f000002872895040100028567862f02000280468504030001830c8427040000870b987900000000000680527801000000000280148635020000000001860c952a0300000000018216867600000000098426a04c010000000481658d55020000000100"_hex_v_u8, {{-583, 8038}, {-939, 357}});
+    TestOptimalLinearization("86639b0b0084139655018156830f000002872895040100028567862f02000280468504030001830c8427040000870b987900000000000680527801000000000280148635020000000001860c952a0300000000018216867600000000098426a04c010000000481658d55020000000100"_hex_u8, {5, 9, 6, 3, 4, 13, 0, 11, 7, 1, 10, 8, 2, 12});
-    TestOptimalLinearization("8718a9310084369903018666a2270000018207936e0100018470800102000084609c240300008324985c04000086418d2100000000000285708d7c0100000000028362875802000000000182519504030000000001854fa01a000000000b851fa3120100000008834d8b47020000000300"_hex_v_u8, {{4600, 9729}, {-804, 589}});
+    TestOptimalLinearization("8718a9310084369903018666a2270000018207936e0100018470800102000084609c240300008324985c04000086418d2100000000000285708d7c0100000000028362875802000000000182519504030000000001854fa01a000000000b851fa3120100000008834d8b47020000000300"_hex_u8, {5, 1, 3, 13, 9, 6, 2, 12, 8, 11, 7, 4, 0, 10});
 
     // Clusters which have lots of potential SFL states/transitions.
-    TestOptimalLinearization("84559211008539851b01825098430285268d1e00010181008e700100028425a22e02000005860a9c1403000005830b924004000005810d87040500000483768808060000038731854007000003862b9066000001010a83799a540100020104850c9a5702010000020482098c0003000002000002826897580400010000010000"_hex_v_u8, {{10878, 9607}, {-1772, 780}});
+    TestOptimalLinearization("84559211008539851b01825098430285268d1e00010181008e700100028425a22e02000005860a9c1403000005830b924004000005810d87040500000483768808060000038731854007000003862b9066000001010a83799a540100020104850c9a5702010000020482098c0003000002000002826897580400010000010000"_hex_u8, {6, 4, 14, 13, 0, 2, 1, 5, 11, 7, 8, 15, 10, 12, 3, 9});
-    TestOptimalLinearization("8657833900865d887e018043894b0287338377038624880100010001851fa82401000000038421990e02000000038723af560300000003866dae0a04000000028265860005000000028031863800000001088353a12c0101000000088630b51a02000000000003866ba1650300000000000300"_hex_v_u8, {{15815, 9911}, {-2227, 1003}});
+    TestOptimalLinearization("8657833900865d887e018043894b0287338377038624880100010001851fa82401000000038421990e02000000038723af560300000003866dae0a04000000028265860005000000028031863800000001088353a12c0101000000088630b51a02000000000003866ba1650300000000000300"_hex_u8, {1, 0, 13, 12, 7, 2, 8, 6, 5, 11, 3, 9, 4, 10});
-    TestOptimalLinearization("852a9d7d008350920901825193330280691201000181428c25010001823d8d1f020000018355460300000182448c0f040000008608994d05000000843ea14a01000100078511a07001000200058737ad5802000200058569ae3f04010000026e80520401000000058509ac7605000000010400"_hex_v_u8, {{1641, 8273}, {-3040, 873}});
+    TestOptimalLinearization("852a9d7d008350920901825193330280691201000181428c25010001823d8d1f020000018355460300000182448c0f040000008608994d05000000843ea14a01000100078511a07001000200058737ad5802000200058569ae3f04010000026e80520401000000058509ac7605000000010400"_hex_u8, {1, 0, 3, 4, 9, 13, 14, 7, 10, 11, 2, 6, 5, 8, 12});
-    TestOptimalLinearization("803a88570078825101806a88390282048777038430920a000003811b841f010000038003801c0200000006822092420300000002821a96380400000001820280110500000001806d8834000001000006871aaf2b01000000000003806a8a2a02000000000001864c9e600300000000000100"_hex_v_u8, {{4968, 4685}, {-3094, 1050}});
+    TestOptimalLinearization("803a88570078825101806a88390282048777038430920a000003811b841f010000038003801c0200000006822092420300000002821a96380400000001820280110500000001806d8834000001000006871aaf2b01000000000003806a8a2a02000000000001864c9e600300000000000100"_hex_u8, {13, 2, 3, 7, 5, 1, 9, 6, 0, 10, 11, 4, 12, 8});
-    TestOptimalLinearization("8437801e00845d833f01816b907800000286438821010002867cac720200028202895e030000861db23d00000000068419a47301000000048404966b0200000002812a817c000000058438824b01000004822c980e0200000286168f4c03000002860c8a5b040000008542997a00000000000a8247815101000000000800"_hex_v_u8, {{4563, 3197}, {-4405, 7734}});
+    TestOptimalLinearization("8437801e00845d833f01816b907800000286438821010002867cac720200028202895e030000861db23d00000000068419a47301000000048404966b0200000002812a817c000000058438824b01000004822c980e0200000286168f4c03000002860c8a5b040000008542997a00000000000a8247815101000000000800"_hex_u8, {9, 13, 1, 6, 14, 2, 10, 0, 3, 11, 12, 5, 8, 15, 4, 7});
-    TestOptimalLinearization("8556877f0081658a7b01803865028412813e03810e816d048743b56e0581398d070680378048010100000001812e85280100000100000780018226020001000000078370891403000000000100824a994a05000000000000822c835a050000000000000980608376060000000000000100"_hex_v_u8, {{3511, 1091}, {1365, 4984}});
+    TestOptimalLinearization("8556877f0081658a7b01803865028412813e03810e816d048743b56e0581398d070680378048010100000001812e85280100000100000780018226020001000000078370891403000000000100824a994a05000000000000822c835a050000000000000980608376060000000000000100"_hex_u8, {8, 6, 5, 0, 7, 4, 13, 9, 10, 2, 12, 1, 11, 3});
-    TestOptimalLinearization("66844f008651aa61018409810902816f814d03823084080000000004843b8144010000000483528d16020000000082758c5403000000008342927f000000000886780c01000000088656802302000000088637b649000004855f8f4001000009815a8c5002000009814b8d240300000900"_hex_v_u8, {{292, 8437}, {-3557, 951}});
+    TestOptimalLinearization("66844f008651aa61018409810902816f814d03823084080000000004843b8144010000000483528d16020000000082758c5403000000008342927f000000000886780c01000000088656802302000000088637b649000004855f8f4001000009815a8c5002000009814b8d240300000900"_hex_u8, {10, 12, 9, 8, 14, 13, 6, 7, 1, 2, 0, 5, 4, 3, 11});
-    TestOptimalLinearization("825d842900824a800401864bb0360281598d13038039835f04834a80310585568663068555862e00000000000000078552935e010000000000000785738c5c02000000000000058163864403000000000000058069837e040000000000000480708610050000000000000000"_hex_v_u8, {{3163, 971}, {1861, 6319}});
+    TestOptimalLinearization("825d842900824a800401864bb0360281598d13038039835f04834a80310585568663068555862e00000000000000078552935e010000000000000785738c5c02000000000000058163864403000000000000058069837e040000000000000480708610050000000000000000"_hex_u8, {6, 3, 10, 11, 2, 9, 8, 12, 1, 7, 5, 4, 0});
-    TestOptimalLinearization("83249365008149926b01817a925202874bba1f038631ab2b0484788e55058613992d06857aa671078367883600000100000001844f916e010100010000008179867002000100000100847a90600300000000000007842c902a0500000000000004825e856b0500000000000000068016831206000000000000000200"_hex_v_u8, {{1257, 378}, {-10088, 9271}});
+    TestOptimalLinearization("83249365008149926b01817a925202874bba1f038631ab2b0484788e55058613992d06857aa671078367883600000100000001844f916e010100010000008179867002000100000100847a90600300000000000007842c902a0500000000000004825e856b0500000000000000068016831206000000000000000200"_hex_u8, {2, 6, 8, 0, 10, 4, 3, 14, 1, 12, 13, 9, 5, 11, 7});
-    TestOptimalLinearization("802488410085669221018528aa5b02800a8539038278921601000382338719010103802b8744030102842b8404050002857b886a040102864d9317050100088267920006000001806b813407000100863a5d080000000182529b23000000010000010884259254010000010100000781739540030000000000000600"_hex_v_u8, {{-125, 8361}, {-1810, 466}});
+    TestOptimalLinearization("802488410085669221018528aa5b02800a8539038278921601000382338719010103802b8744030102842b8404050002857b886a040102864d9317050100088267920006000001806b813407000100863a5d080000000182529b23000000010000010884259254010000010100000781739540030000000000000600"_hex_u8, {2, 12, 11, 4, 9, 13, 3, 0, 6, 15, 8, 14, 7, 1, 10, 5});
-    TestOptimalLinearization("81528b45008715a71201834c8c090102802f85320202866a89320301812985680001068120817301010005837a836a020000000581448a060300000005846e6b0400000001814c9355000100000582758c5a0101000002833b872d02000000000884539c000300000000068459a140000000000b83098f5a010000000300"_hex_v_u8, {{2569, 1045}, {4798, 7773}});
+    TestOptimalLinearization("81528b45008715a71201834c8c090102802f85320202866a89320301812985680001068120817301010005837a836a020000000581448a060300000005846e6b0400000001814c9355000100000582758c5a0101000002833b872d02000000000884539c000300000000068459a140000000000b83098f5a010000000300"_hex_u8, {15, 10, 9, 11, 6, 4, 0, 2, 14, 1, 8, 13, 5, 7, 3, 12});
-    TestOptimalLinearization("8635a94d00866f9a5901847ea66802821c81640203856694370101018713b00d030001813b8b3603000000811980480400000086108960000100000881068b4301000001028033866202000001008556b22f030000000003835ba028040000000001815789540100000006823d903e01010000058629b01202000000000500"_hex_v_u8, {{2548, 766}, {-3769, 9412}});
+    TestOptimalLinearization("8635a94d00866f9a5901847ea66802821c81640203856694370101018713b00d030001813b8b3603000000811980480400000086108960000100000881068b4301000001028033866202000001008556b22f030000000003835ba028040000000001815789540100000006823d903e01010000058629b01202000000000500"_hex_u8, {6, 3, 2, 12, 1, 13, 4, 5, 14, 15, 0, 8, 9, 11, 10, 7});
-    TestOptimalLinearization("81188d5500822c855b01821c3a02863a9117038425930d048207906f057243068235804f07853f8b16000002000108822a8a5601000100010880738e07020001000008850d8c4605010000000681038c2205010000010681628b4a050001000007840a8d440600000002000a8538986a070000000001000000"_hex_v_u8, {{1557, 7818}, {-964, 243}});
+    TestOptimalLinearization("81188d5500822c855b01821c3a02863a9117038425930d048207906f057243068235804f07853f8b16000002000108822a8a5601000100010880738e07020001000008850d8c4605010000000681038c2205010000010681628b4a050001000007840a8d440600000002000a8538986a070000000001000000"_hex_u8, {8, 14, 13, 3, 10, 11, 9, 2, 12, 1, 7, 15, 4, 6, 0, 5});
-    TestOptimalLinearization("8522934b00812a8b15018610b44e0285789a1f0386509173048233901705840f914906857a924f07831d8e58020000000107860b806502000000010380328724030200000000824b5f0301010000000181518964040000010000000c816e8b24060000000000000b853f45070000000000000400"_hex_v_u8, {{3431, 912}, {-5784, 8563}});
+    TestOptimalLinearization("8522934b00812a8b15018610b44e0285789a1f0386509173048233901705840f914906857a924f07831d8e58020000000107860b806502000000010380328724030200000000824b5f0301010000000181518964040000010000000c816e8b24060000000000000b853f45070000000000000400"_hex_u8, {5, 7, 12, 1, 11, 6, 8, 3, 4, 14, 2, 0, 10, 13, 9});
-    TestOptimalLinearization("832f8f59008730831a018022822b02801239038275987b048520a0590582448b6506826398500001010007854b971a0100020000088105894c0201000001068737992603000101000387249424040001010003815b82220500000001028706934a0600000100000d8602ae3d0701000000000c844789560801000000000100"_hex_v_u8, {{3440, 9506}, {-3039, 898}});
+    TestOptimalLinearization("832f8f59008730831a018022822b02801239038275987b048520a0590582448b6506826398500001010007854b971a0100020000088105894c0201000001068737992603000101000387249424040001010003815b82220500000001028706934a0600000100000d8602ae3d0701000000000c844789560801000000000100"_hex_u8, {6, 8, 7, 15, 3, 12, 1, 9, 10, 11, 4, 5, 0, 14, 13, 2});
-    TestOptimalLinearization("8458a65900850aac29018201855f02854fab75038461877504821e86330584328d3706861b8d7107844e9d2808847c9250000000030004836d8d3e040000000000098179916402020000010005825b95700400000100000000867dae5e04000000000001000a8162941e05000000000100000682628a4e06000000010000000600"_hex_v_u8, {{1940, 718}, {-1665, 9596}});
+    TestOptimalLinearization("8458a65900850aac29018201855f02854fab75038461877504821e86330584328d3706861b8d7107844e9d2808847c9250000000030004836d8d3e040000000000098179916402020000010005825b95700400000100000000867dae5e04000000000001000a8162941e05000000000100000682628a4e06000000010000000600"_hex_u8, {14, 6, 13, 4, 10, 12, 5, 0, 2, 8, 7, 15, 3, 11, 9, 1});
-    TestOptimalLinearization("8147814100805389410185059d29028045833103850834048073883f05803580330000000106832b9f6c0101000105821c0b020000000000068519a8600300000000000484759a66010000018339a07201000001854ea048020000018730ba160400000086409d3c040000000c00"_hex_v_u8, {{12873, 8672}});
+    TestOptimalLinearization("8147814100805389410185059d29028045833103850834048073883f05803580330000000106832b9f6c0101000105821c0b020000000000068519a8600300000000000484759a66010000018339a07201000001854ea048020000018730ba160400000086409d3c040000000c00"_hex_u8, {9, 0, 8, 11, 7, 4, 5, 6, 3, 12, 13, 1, 14, 10, 2});
-    TestOptimalLinearization("8219866f008118842f01854ba30b0283058a1f038614921b04866a807005840f9b140000000000000584339d1601000000000004834d925402000000000004811d8b3403000000000003844f8552040000000000038217821e0500000000000100"_hex_v_u8, {{1429, 7313}});
+    TestOptimalLinearization("8219866f008118842f01854ba30b0283058a1f038614921b04866a807005840f9b140000000000000584339d1601000000000004834d925402000000000004811d8b3403000000000003844f8552040000000000038217821e0500000000000100"_hex_u8, {11, 2, 0, 9, 8, 5, 3, 6, 1, 4, 7, 10});
-    TestOptimalLinearization("8177892100831b9b490181418f05027d803603872c8040048438837805852ea30200000000000006871e956c01000000000005824c9036020000000000018471972203000000000001865d8e28040000000000008566a4100500000000000000"_hex_v_u8, {{6781, 8064}});
+    TestOptimalLinearization("8177892100831b9b490181418f05027d803603872c8040048438837805852ea30200000000000006871e956c01000000000005824c9036020000000000018471972203000000000001865d8e28040000000000008566a4100500000000000000"_hex_u8, {5, 9, 6, 1, 4, 3, 0, 11, 7, 8, 2, 10});
-    TestOptimalLinearization("8534a80f008374901f018379995e000002807a8c4201000285438d340200028019856403000282178b22040001830b930605000080608b06000000000000048621ad3601000000000001842ba10a02000000000000825494320300000000000000"_hex_v_u8, {{9556, 6553}});
+    TestOptimalLinearization("8534a80f008374901f018379995e000002807a8c4201000285438d340200028019856403000282178b22040001830b930605000080608b06000000000000048621ad3601000000000001842ba10a02000000000000825494320300000000000000"_hex_u8, {7, 5, 1, 3, 0, 9, 6, 2, 4, 8, 10, 11});
-    TestOptimalLinearization("81398a1700805f84750183639f61028032835f0387498f1b048526992b0581688f4e0000000000000480028348010000000000038005821c02000000000003864fad6803000000000003816c9156040000000000038715b5320500000000000000"_hex_v_u8, {{3013, 6235}});
+    TestOptimalLinearization("81398a1700805f84750183639f61028032835f0387498f1b048526992b0581688f4e0000000000000480028348010000000000038005821c02000000000003864fad6803000000000003816c9156040000000000038715b5320500000000000000"_hex_u8, {9, 1, 8, 10, 0, 3, 11, 7, 6, 2, 4, 5});
-    TestOptimalLinearization("83799c23008671ad4901815c896b02854fab3303810481680000000004803181130100000003845f8743020000000383258862030000000381658f6d0400000002802384590000000000058318876701000000000380758d020000038618951201000366812a02000200"_hex_v_u8, {{-7815, 6881}});
+    TestOptimalLinearization("83799c23008671ad4901815c896b02854fab3303810481680000000004803181130100000003845f8743020000000383258862030000000381658f6d0400000002802384590000000000058318876701000000000380758d020000038618951201000366812a02000200"_hex_u8, {12, 6, 1, 13, 5, 0, 3, 2, 10, 7, 4, 8, 9, 11});
-    TestOptimalLinearization("8225945300815931018413962f02836a9635038720b46d04842b840f058659974a0000000000000587179118010000000000058710a5540200000000000187169242030000000000018620ac6c04000000000001844182700500000000000000"_hex_v_u8, {{1461, 9533}});
+    TestOptimalLinearization("8225945300815931018413962f02836a9635038720b46d04842b840f058659974a0000000000000587179118010000000000058710a5540200000000000187169242030000000000018620ac6c04000000000001844182700500000000000000"_hex_u8, {3, 10, 4, 5, 6, 0, 9, 7, 1, 8, 2, 11});
-    TestOptimalLinearization("806e801500871ca421018125845d02841a9c3703845da477048528997d058510a820000000000000068745946e01000000000004840f9b1202000000000004822d8e280300000000000484599f0004000000000004807d81050500000000000200"_hex_v_u8, {{2, 7480}, {-131, 253}});
+    TestOptimalLinearization("806e801500871ca421018125845d02841a9c3703845da477048528997d058510a820000000000000068745946e01000000000004840f9b1202000000000004822d8e280300000000000484599f0004000000000004807d81050500000000000200"_hex_u8, {1, 7, 11, 2, 8, 10, 0, 6, 4, 5, 3, 9});
-    TestOptimalLinearization("84098a0d008000811f01812f831902867a843a038124890f04821e821905870b9e4400000000000004840aa00601000000000002852e97020200000000000284769b18030000000000018042847604000000000001853290160500000000000100"_hex_v_u8, {{7324, 7073}});
+    TestOptimalLinearization("84098a0d008000811f01812f831902867a843a038124890f04821e821905870b9e4400000000000004840aa00601000000000002852e97020200000000000284769b18030000000000018042847604000000000001853290160500000000000100"_hex_u8, {4, 11, 3, 0, 1, 7, 5, 8, 9, 2, 6, 10});
-    TestOptimalLinearization("834a9b5f00820a89790180598b3f0273815703816e807004805683370580308062068417a42c0000000000000002865098610100000000000000831a93590200000000000000801981000000000a856eb5520100000786409000020000058336903803000005836b9a020400000583599c0c0500000500"_hex_v_u8, {{5272, 8022}});
+    TestOptimalLinearization("834a9b5f00820a89790180598b3f0273815703816e807004805683370580308062068417a42c0000000000000002865098610100000000000000831a93590200000000000000801981000000000a856eb5520100000786409000020000058336903803000005836b9a020400000583599c0c0500000500"_hex_u8, {13, 6, 12, 5, 2, 1, 3, 11, 14, 15, 4, 10, 9, 8, 7, 0});
-    TestOptimalLinearization("85268b4c0082748120018068802102807986310381428d770480268659058340994e00000000000004806b8a3e01000000000004811f8c3c02000000000002840a8d6c030000000000018608af5604000000000001822492100500000000000000"_hex_v_u8, {{7536, 5347}});
+    TestOptimalLinearization("85268b4c0082748120018068802102807986310381428d770480268659058340994e00000000000004806b8a3e01000000000004811f8c3c02000000000002840a8d6c030000000000018608af5604000000000001822492100500000000000000"_hex_u8, {0, 1, 4, 5, 7, 10, 9, 3, 6, 2, 11, 8});
-    TestOptimalLinearization("83718f5300862d9663018700ae190281338d3303825c865104832c916705851b9c64000000000000068419a256010000000000028510a35802000000000001816b861a030000000000018564ad6804000000000001832e85480500000000000100"_hex_v_u8, {{2190, 7962}});
+    TestOptimalLinearization("83718f5300862d9663018700ae190281338d3303825c865104832c916705851b9c64000000000000068419a256010000000000028510a35802000000000001816b861a030000000000018564ad6804000000000001832e85480500000000000100"_hex_u8, {6, 2, 1, 11, 3, 4, 9, 5, 7, 0, 8, 10});
-    TestOptimalLinearization("842a980f008356951f01805c82570282308f4303802d8317048415a13705863e51000000000000058530a15201000000000004827c865402000000000004845e93260300000000000281638e68040000000000028121832e0500000000000100"_hex_v_u8, {{-1542, 6426}});
+    TestOptimalLinearization("842a980f008356951f01805c82570282308f4303802d8317048415a13705863e51000000000000058530a15201000000000004827c865402000000000004845e93260300000000000281638e68040000000000028121832e0500000000000100"_hex_u8, {5, 9, 0, 2, 6, 11, 8, 3, 7, 10, 4, 1});
-    TestOptimalLinearization("855f8024008024816501807c81020284629b030383078631048044895c000002048078100100000000068315856a020000000004800784130300000000028167800c04000000000281758a14010000000885249a1a0100010004852ca63e020000010300"_hex_v_u8, {{3618, 5996}});
+    TestOptimalLinearization("855f8024008024816501807c81020284629b030383078631048044895c000002048078100100000000068315856a020000000004800784130300000000028167800c04000000000281758a14010000000885249a1a0100010004852ca63e020000010300"_hex_u8, {6, 1, 12, 5, 11, 3, 4, 10, 0, 8, 9, 7, 2});
-    TestOptimalLinearization("855f97230080678a4f018210925d02856113038105892b04854e996105805a8a480000000000000283028b7a01000000000002846d9f080200000000000283189656030000000000018277862e0400000000000185508d200500000000000000"_hex_v_u8, {{573, 6834}});
+    TestOptimalLinearization("855f97230080678a4f018210925d02856113038105892b04854e996105805a8a480000000000000283028b7a01000000000002846d9f080200000000000283189656030000000000018277862e0400000000000185508d200500000000000000"_hex_u8, {3, 0, 10, 7, 2, 1, 4, 8, 6, 5, 11, 9});
-    TestOptimalLinearization("866faa23008646b71501851f96130282588f1103804d851c0000000003822097600100000003850a8f310200000003856e9201000000038656935f01000003855b8f5f020000018743923a0000000a812b810b010000098403a328020000068712970203000005833e98400400000200"_hex_v_u8, {{-4960, 11011}});
+    TestOptimalLinearization("866faa23008646b71501851f96130282588f1103804d851c0000000003822097600100000003850a8f310200000003856e9201000000038656935f01000003855b8f5f020000018743923a0000000a812b810b010000098403a328020000068712970203000005833e98400400000200"_hex_u8, {11, 14, 1, 10, 4, 3, 5, 13, 9, 7, 6, 12, 8, 0, 2});
 }
 
 BOOST_AUTO_TEST_SUITE_END()

src/test/fuzz/cluster_linearize.cpp

@@ -925,7 +925,7 @@ FUZZ_TARGET(clusterlin_sfl)
         if (rng.randbits(4) == 0) {
             // Verify that the diagram of GetLinearization() is at least as good as GetDiagram(),
             // from time to time.
-            auto lin = sfl.GetLinearization();
+            auto lin = sfl.GetLinearization(IndexTxOrder{});
             auto lin_diagram = ChunkLinearization(depgraph, lin);
             auto cmp_lin = CompareChunks(lin_diagram, diagram);
             assert(cmp_lin >= 0);
@@ -1044,7 +1044,7 @@ FUZZ_TARGET(clusterlin_linearize)
 
     // Invoke Linearize().
     iter_count &= 0x7ffff;
-    auto [linearization, optimal, cost] = Linearize(depgraph, iter_count, rng_seed, old_linearization, /*is_topological=*/claim_topological_input);
+    auto [linearization, optimal, cost] = Linearize(depgraph, iter_count, rng_seed, IndexTxOrder{}, old_linearization, /*is_topological=*/claim_topological_input);
     SanityCheck(depgraph, linearization);
     auto chunking = ChunkLinearization(depgraph, linearization);
 
@@ -1082,6 +1082,72 @@ FUZZ_TARGET(clusterlin_linearize)
         auto read_chunking = ChunkLinearization(depgraph, read);
         auto cmp_read = CompareChunks(chunking, read_chunking);
         assert(cmp_read >= 0);
+
+        // Verify that within every chunk, the transactions are in a valid order. For any pair of
+        // transactions, it should not be possible to swap them; either due to a missing
+        // dependency, or because the order would be inconsistent with decreasing feerate,
+        // increasing size, and fallback order (just DepGraphIndex value here).
+        auto chunking_info = ChunkLinearizationInfo(depgraph, linearization);
+        /** The set of all transactions (strictly) before tx1 (see below), or (strictly) before
+         *  chunk1 (see even further below). */
+        TestBitSet done;
+        unsigned pos{0};
+        for (const auto& chunk : chunking_info) {
+            auto chunk_start = pos;
+            auto chunk_end = pos + chunk.transactions.Count() - 1;
+            // Go over all pairs of transactions. done is the set of transactions seen before pos1.
+            for (unsigned pos1 = chunk_start; pos1 <= chunk_end; ++pos1) {
+                auto tx1 = linearization[pos1];
+                for (unsigned pos2 = pos1 + 1; pos2 <= chunk_end; ++pos2) {
+                    auto tx2 = linearization[pos2];
+                    // Check whether tx2 only depends on transactions that precede tx1.
+                    if ((depgraph.Ancestors(tx2) - done).Count() == 1) {
+                        // tx2 could take position pos1.
+                        // Verify that individual transaction feerate is decreasing (note that >=
+                        // tie-breaks by size).
+                        assert(depgraph.FeeRate(tx1) >= depgraph.FeeRate(tx2));
+                        // If feerate and size are equal, compare by DepGraphIndex.
+                        if (depgraph.FeeRate(tx1) == depgraph.FeeRate(tx2)) {
+                            assert(tx1 < tx2);
+                        }
+                    }
+                }
+                done.Set(tx1);
+            }
+            pos += chunk.transactions.Count();
+        }
+
+        // Verify that chunks themselves are in a valid order. For any pair of chunks, it should
+        // not be possible to swap them; either due to a missing dependency, or because the order
+        // would be inconsistent with decreasing chunk feerate, increasing chunk size, and order
+        // of maximum fallback-ordered element (just maximum DepGraphIndex element here).
+        done = {};
+        // Go over all pairs of chunks. done is the set of transactions seen before chunk_num1.
+        for (unsigned chunk_num1 = 0; chunk_num1 < chunking_info.size(); ++chunk_num1) {
+            const auto& chunk1 = chunking_info[chunk_num1];
+            for (unsigned chunk_num2 = chunk_num1 + 1; chunk_num2 < chunking_info.size(); ++chunk_num2) {
+                const auto& chunk2 = chunking_info[chunk_num2];
+                TestBitSet chunk2_ancestors;
+                for (auto tx : chunk2.transactions) chunk2_ancestors |= depgraph.Ancestors(tx);
+                // Check whether chunk2 only depends on transactions that precede chunk1.
+                if ((chunk2_ancestors - done).IsSubsetOf(chunk2.transactions)) {
+                    // chunk2 could take position chunk_num1.
+                    // Verify that chunk feerate is decreasing (note that >= tie-breaks by size).
+                    assert(chunk1.feerate >= chunk2.feerate);
+                    // If feerate and size are equal, compare by maximum DepGraphIndex element.
+                    if (chunk1.feerate == chunk2.feerate) {
+                        assert(chunk1.transactions.Last() < chunk2.transactions.Last());
+                    }
+                }
+            }
+            done |= chunk1.transactions;
+        }
+
+        // Redo from scratch with a different rng_seed. The resulting linearization should be
+        // deterministic, if both are optimal.
+        auto [linearization2, optimal2, cost2] = Linearize(depgraph, MaxOptimalLinearizationIters(depgraph.TxCount()) + 1, rng_seed ^ 0x1337, IndexTxOrder{});
+        assert(optimal2);
+        assert(linearization2 == linearization);
     }
 }
 
@@ -1170,7 +1236,7 @@ FUZZ_TARGET(clusterlin_postlinearize_tree)
 
     // Try to find an even better linearization directly. This must not change the diagram for the
     // same reason.
-    auto [opt_linearization, _optimal, _cost] = Linearize(depgraph_tree, 100000, rng_seed, post_linearization);
+    auto [opt_linearization, _optimal, _cost] = Linearize(depgraph_tree, 100000, rng_seed, IndexTxOrder{}, post_linearization);
     auto opt_chunking = ChunkLinearization(depgraph_tree, opt_linearization);
     auto cmp_opt = CompareChunks(opt_chunking, post_chunking);
     assert(cmp_opt == 0);

src/test/fuzz/txgraph.cpp

@@ -23,6 +23,14 @@ using namespace cluster_linearize;
 
 namespace {
 
+struct SimTxObject : public TxGraph::Ref
+{
+    // Use random uint64_t as txids for this simulation (0 = empty object).
+    const uint64_t m_txid{0};
+    SimTxObject() noexcept = default;
+    explicit SimTxObject(uint64_t txid) noexcept : m_txid(txid) {}
+};
+
 /** Data type representing a naive simulated TxGraph, keeping all transactions (even from
  *  disconnected components) in a single DepGraph. Unlike the real TxGraph, this only models
  *  a single graph, and multiple instances are used to simulate main/staging. */
@@ -42,14 +50,14 @@ struct SimTxGraph
     /** The dependency graph (for all transactions in the simulation, regardless of
      *  connectivity/clustering). */
     DepGraph<SetType> graph;
-    /** For each position in graph, which TxGraph::Ref it corresponds with (if any). Use shared_ptr
+    /** For each position in graph, which SimTxObject it corresponds with (if any). Use shared_ptr
      *  so that a SimTxGraph can be copied to create a staging one, while sharing Refs with
      *  the main graph. */
-    std::array<std::shared_ptr<TxGraph::Ref>, MAX_TRANSACTIONS> simmap;
+    std::array<std::shared_ptr<SimTxObject>, MAX_TRANSACTIONS> simmap;
     /** For each TxGraph::Ref in graph, the position it corresponds with. */
     std::map<const TxGraph::Ref*, Pos> simrevmap;
-    /** The set of TxGraph::Ref entries that have been removed, but not yet destroyed. */
+    /** The set of SimTxObject entries that have been removed, but not yet destroyed. */
-    std::vector<std::shared_ptr<TxGraph::Ref>> removed;
+    std::vector<std::shared_ptr<SimTxObject>> removed;
     /** Whether the graph is oversized (true = yes, false = no, std::nullopt = unknown). */
     std::optional<bool> oversized;
     /** The configured maximum number of transactions per cluster. */
@@ -129,23 +137,24 @@ struct SimTxGraph
         return MISSING;
     }
 
-    /** Given a position in this simulated graph, get the corresponding TxGraph::Ref. */
+    /** Given a position in this simulated graph, get the corresponding SimTxObject. */
-    TxGraph::Ref* GetRef(Pos pos)
+    SimTxObject* GetRef(Pos pos)
     {
         assert(graph.Positions()[pos]);
         assert(simmap[pos]);
         return simmap[pos].get();
     }
 
-    /** Add a new transaction to the simulation. */
+    /** Add a new transaction to the simulation and the specified real graph. */
-    void AddTransaction(TxGraph::Ref&& ref, const FeePerWeight& feerate)
+    void AddTransaction(TxGraph& txgraph, const FeePerWeight& feerate, uint64_t txid)
     {
         assert(graph.TxCount() < MAX_TRANSACTIONS);
         auto simpos = graph.AddTransaction(feerate);
         real_is_optimal = false;
         MakeModified(simpos);
         assert(graph.Positions()[simpos]);
-        simmap[simpos] = std::make_shared<TxGraph::Ref>(std::move(ref));
+        simmap[simpos] = std::make_shared<SimTxObject>(txid);
+        txgraph.AddTransaction(*simmap[simpos], feerate);
         auto ptr = simmap[simpos].get();
         simrevmap[ptr] = simpos;
         // This may invalidate our cached oversized value.
@@ -308,8 +317,8 @@ FUZZ_TARGET(txgraph)
      *  specialized test cases that are hard to perform more generically. */
     InsecureRandomContext rng(provider.ConsumeIntegral<uint64_t>());
 
-    /** Variable used whenever an empty TxGraph::Ref is needed. */
+    /** Variable used whenever an empty SimTxObject is needed. */
-    TxGraph::Ref empty_ref;
+    SimTxObject empty_ref;
 
     /** The maximum number of transactions per (non-oversized) cluster we will use in this
      *  simulation. */
@@ -319,8 +328,23 @@ FUZZ_TARGET(txgraph)
     /** The number of iterations to consider a cluster acceptably linearized. */
     auto acceptable_iters = provider.ConsumeIntegralInRange<uint64_t>(0, 10000);
 
+    /** The set of uint64_t "txid"s that have been assigned before. */
+    std::set<uint64_t> assigned_txids;
+
     // Construct a real graph, and a vector of simulated graphs (main, and possibly staging).
-    auto real = MakeTxGraph(max_cluster_count, max_cluster_size, acceptable_iters);
+    auto fallback_order = [&](const TxGraph::Ref& a, const TxGraph::Ref& b) noexcept {
+        uint64_t txid_a = static_cast<const SimTxObject&>(a).m_txid;
+        uint64_t txid_b = static_cast<const SimTxObject&>(b).m_txid;
+        assert(assigned_txids.contains(txid_a));
+        assert(assigned_txids.contains(txid_b));
+        return txid_a <=> txid_b;
+    };
+    auto real = MakeTxGraph(
+        /*max_cluster_count=*/max_cluster_count,
+        /*max_cluster_size=*/max_cluster_size,
+        /*acceptable_iters=*/acceptable_iters,
+        /*fallback_order=*/fallback_order);
+
     std::vector<SimTxGraph> sims;
     sims.reserve(2);
     sims.emplace_back(max_cluster_count, max_cluster_size);
@@ -343,9 +367,9 @@ FUZZ_TARGET(txgraph)
     /** Currently active block builders. */
     std::vector<BlockBuilderData> block_builders;
 
-    /** Function to pick any Ref (for either sim in sims: from sim.simmap or sim.removed, or the
+    /** Function to pick any SimTxObject (for either sim in sims: from sim.simmap or sim.removed, or the
-     *  empty Ref). */
+     *  empty one). */
-    auto pick_fn = [&]() noexcept -> TxGraph::Ref* {
+    auto pick_fn = [&]() noexcept -> SimTxObject* {
         size_t tx_count[2] = {sims[0].GetTransactionCount(), 0};
         /** The number of possible choices. */
         size_t choices = tx_count[0] + sims[0].removed.size() + 1;
@@ -455,10 +479,14 @@ FUZZ_TARGET(txgraph)
                     size = provider.ConsumeIntegralInRange<uint32_t>(1, 0xff);
                 }
                 FeePerWeight feerate{fee, size};
-                // Create a real TxGraph::Ref.
+                // Pick a novel txid (and not 0, which is reserved for empty_ref).
-                auto ref = real->AddTransaction(feerate);
+                uint64_t txid;
-                // Create a shared_ptr place in the simulation to put the Ref in.
+                do {
-                top_sim.AddTransaction(std::move(ref), feerate);
+                    txid = rng.rand64();
+                } while (txid == 0 || assigned_txids.contains(txid));
+                assigned_txids.insert(txid);
+                // Create the transaction in the simulation and the real graph.
+                top_sim.AddTransaction(*real, feerate, txid);
                 break;
             } else if ((block_builders.empty() || sims.size() > 1) && top_sim.GetTransactionCount() + top_sim.removed.size() > 1 && command-- == 0) {
                 // AddDependency.
@@ -1066,10 +1094,115 @@ FUZZ_TARGET(txgraph)
         // that calling Linearize on it does not improve it further.
         if (sims[0].real_is_optimal) {
             auto real_diagram = ChunkLinearization(sims[0].graph, vec1);
-            auto [sim_lin, _optimal, _cost] = Linearize(sims[0].graph, 300000, rng.rand64(), vec1);
+            auto fallback_order_sim = [&](DepGraphIndex a, DepGraphIndex b) noexcept {
+                auto txid_a = sims[0].GetRef(a)->m_txid;
+                auto txid_b = sims[0].GetRef(b)->m_txid;
+                return txid_a <=> txid_b;
+            };
+            auto [sim_lin, sim_optimal, _cost] = Linearize(sims[0].graph, 300000, rng.rand64(), fallback_order_sim, vec1);
+            PostLinearize(sims[0].graph, sim_lin);
             auto sim_diagram = ChunkLinearization(sims[0].graph, sim_lin);
             auto cmp = CompareChunks(real_diagram, sim_diagram);
             assert(cmp == 0);
+
+            // Verify consistency of cross-cluster chunk ordering with tie-break (equal-feerate
+            // prefix size).
+            auto real_chunking = ChunkLinearizationInfo(sims[0].graph, vec1);
+            /** Map with one entry per component of the sim main graph. Key is the first Pos of the
+             *  component. Value is the sum of all chunk sizes from that component seen
+             *  already, at the current chunk feerate. */
+            std::map<SimTxGraph::Pos, int32_t> comp_prefix_sizes;
+            /** Current chunk feerate. */
+            FeeFrac last_chunk_feerate;
+            /** Largest seen (equal-feerate chunk prefix size, max txid).  */
+            std::pair<int32_t, uint64_t> max_chunk_tiebreak{0, 0};
+            for (const auto& chunk : real_chunking) {
+                // If this is the first chunk with a strictly lower feerate, reset.
+                if (chunk.feerate << last_chunk_feerate) {
+                    comp_prefix_sizes.clear();
+                    max_chunk_tiebreak = {0, 0};
+                }
+                last_chunk_feerate = chunk.feerate;
+                // Find which sim component this chunk belongs to.
+                auto component = sims[0].graph.GetConnectedComponent(sims[0].graph.Positions(), chunk.transactions.First());
+                assert(chunk.transactions.IsSubsetOf(component));
+                auto comp_key = component.First();
+                auto& comp_prefix_size = comp_prefix_sizes[comp_key];
+                comp_prefix_size += chunk.feerate.size;
+                // Determine the chunk's max txid.
+                uint64_t chunk_max_txid{0};
+                for (auto tx : chunk.transactions) {
+                    auto txid = sims[0].GetRef(tx)->m_txid;
+                    chunk_max_txid = std::max(txid, chunk_max_txid);
+                }
+                // Verify consistency: within each group of equal-feerate chunks, the
+                // (equal-feerate chunk prefix size, max txid) must be increasing.
+                std::pair<int32_t, uint64_t> chunk_tiebreak{comp_prefix_size, chunk_max_txid};
+                assert(chunk_tiebreak > max_chunk_tiebreak);
+                max_chunk_tiebreak = chunk_tiebreak;
+            }
+
+            // Verify that within each cluster, the internal ordering matches that of the
+            // simulation if that is optimal too, since per-cluster optimal orderings are
+            // deterministic. Note that both have been PostLinearize()'ed.
+            if (sim_optimal) {
+                for (const auto& component : sims[0].GetComponents()) {
+                    std::vector<DepGraphIndex> sim_chunk_lin, real_chunk_lin;
+                    for (auto i : sim_lin) {
+                        if (component[i]) sim_chunk_lin.push_back(i);
+                    }
+                    for (auto i : vec1) {
+                        if (component[i]) real_chunk_lin.push_back(i);
+                    }
+                    assert(sim_chunk_lin == real_chunk_lin);
+                }
+            }
+
+            // Verify that a fresh TxGraph, with the same transactions and txids, but constructed
+            // in a different order, and with a different RNG state, recreates the exact same
+            // ordering, showing that for optimal graphs, the full mempool ordering is
+            // deterministic.
+            auto real_redo = MakeTxGraph(
+                /*max_cluster_count=*/max_cluster_count,
+                /*max_cluster_size=*/max_cluster_size,
+                /*acceptable_iters=*/acceptable_iters,
+                /*fallback_order=*/fallback_order);
+            /** Vector (indexed by SimTxGraph::Pos) of TxObjects in real_redo). */
+            std::vector<std::optional<SimTxObject>> txobjects_redo;
+            txobjects_redo.resize(sims[0].graph.PositionRange());
+            // Recreate the graph's transactions with same feerate and txid.
+            std::vector<DepGraphIndex> positions;
+            for (auto i : sims[0].graph.Positions()) positions.push_back(i);
+            std::shuffle(positions.begin(), positions.end(), rng);
+            for (auto i : positions) {
+                txobjects_redo[i].emplace(sims[0].GetRef(i)->m_txid);
+                real_redo->AddTransaction(*txobjects_redo[i], FeePerWeight::FromFeeFrac(sims[0].graph.FeeRate(i)));
+            }
+            // Recreate the graph's dependencies.
+            std::vector<std::pair<DepGraphIndex, DepGraphIndex>> deps;
+            for (auto i : sims[0].graph.Positions()) {
+                for (auto j : sims[0].graph.GetReducedParents(i)) {
+                    deps.emplace_back(j, i);
+                }
+            }
+            std::shuffle(deps.begin(), deps.end(), rng);
+            for (auto [parent, child] : deps) {
+                real_redo->AddDependency(*txobjects_redo[parent], *txobjects_redo[child]);
+            }
+            // Do work to reach optimality.
+            if (real_redo->DoWork(300000)) {
+                // Start from a random permutation.
+                auto vec_redo = vec1;
+                std::shuffle(vec_redo.begin(), vec_redo.end(), rng);
+                if (vec_redo == vec1) std::next_permutation(vec_redo.begin(), vec_redo.end());
+                // Sort it according to the main graph order in real_redo.
+                auto cmp_redo = [&](SimTxGraph::Pos a, SimTxGraph::Pos b) noexcept {
+                    return real_redo->CompareMainOrder(*txobjects_redo[a], *txobjects_redo[b]) < 0;
+                };
+                std::sort(vec_redo.begin(), vec_redo.end(), cmp_redo);
+                // Compare with the ordering we got from real.
+                assert(vec1 == vec_redo);
+            }
         }
 
         // For every transaction in the total ordering, find a random one before it and after it,

src/test/fuzz/util/mempool.cpp

@@ -27,5 +27,5 @@ CTxMemPoolEntry ConsumeTxMemPoolEntry(FuzzedDataProvider& fuzzed_data_provider,
     const auto entry_height{fuzzed_data_provider.ConsumeIntegralInRange<uint32_t>(0, max_height)};
     const bool spends_coinbase = fuzzed_data_provider.ConsumeBool();
     const unsigned int sig_op_cost = fuzzed_data_provider.ConsumeIntegralInRange<unsigned int>(0, MAX_BLOCK_SIGOPS_COST);
-    return CTxMemPoolEntry{TxGraph::Ref(), MakeTransactionRef(tx), fee, time, entry_height, entry_sequence, spends_coinbase, sig_op_cost, {}};
+    return CTxMemPoolEntry{MakeTransactionRef(tx), fee, time, entry_height, entry_sequence, spends_coinbase, sig_op_cost, {}};
 }

src/test/txgraph_tests.cpp

@@ -13,9 +13,18 @@
 
 BOOST_AUTO_TEST_SUITE(txgraph_tests)
 
+namespace {
+
 /** The number used as acceptable_iters argument in these tests. High enough that everything
  *  should be optimal, always. */
-static constexpr uint64_t NUM_ACCEPTABLE_ITERS = 100'000'000;
+constexpr uint64_t NUM_ACCEPTABLE_ITERS = 100'000'000;
+
+std::strong_ordering PointerComparator(const TxGraph::Ref& a, const TxGraph::Ref& b) noexcept
+{
+    return (&a) <=> (&b);
+}
+
+} // namespace
 
 BOOST_AUTO_TEST_CASE(txgraph_trim_zigzag)
 {
@@ -39,18 +48,18 @@ BOOST_AUTO_TEST_CASE(txgraph_trim_zigzag)
     static constexpr int32_t MAX_CLUSTER_SIZE = 100'000 * 100;
 
     // Create a new graph for the test.
-    auto graph = MakeTxGraph(MAX_CLUSTER_COUNT, MAX_CLUSTER_SIZE, NUM_ACCEPTABLE_ITERS);
+    auto graph = MakeTxGraph(MAX_CLUSTER_COUNT, MAX_CLUSTER_SIZE, NUM_ACCEPTABLE_ITERS, PointerComparator);
 
     // Add all transactions and store their Refs.
     std::vector<TxGraph::Ref> refs;
     refs.reserve(NUM_TOTAL_TX);
     // First all bottom transactions: the i'th bottom transaction is at position i.
     for (unsigned int i = 0; i < NUM_BOTTOM_TX; ++i) {
-        refs.push_back(graph->AddTransaction(FeePerWeight{200 - i, 100}));
+        graph->AddTransaction(refs.emplace_back(), FeePerWeight{200 - i, 100});
     }
     // Then all top transactions: the i'th top transaction is at position NUM_BOTTOM_TX + i.
     for (unsigned int i = 0; i < NUM_TOP_TX; ++i) {
-        refs.push_back(graph->AddTransaction(FeePerWeight{100 - i, 100}));
+        graph->AddTransaction(refs.emplace_back(), FeePerWeight{100 - i, 100});
     }
 
     // Create the zigzag dependency structure.
@@ -102,16 +111,16 @@ BOOST_AUTO_TEST_CASE(txgraph_trim_flower)
     /** Set a very large cluster size limit so that only the count limit is triggered. */
     static constexpr int32_t MAX_CLUSTER_SIZE = 100'000 * 100;
 
-    auto graph = MakeTxGraph(MAX_CLUSTER_COUNT, MAX_CLUSTER_SIZE, NUM_ACCEPTABLE_ITERS);
+    auto graph = MakeTxGraph(MAX_CLUSTER_COUNT, MAX_CLUSTER_SIZE, NUM_ACCEPTABLE_ITERS, PointerComparator);
 
     // Add all transactions and store their Refs.
     std::vector<TxGraph::Ref> refs;
     refs.reserve(NUM_TOTAL_TX);
 
     // Add all transactions. They are in individual clusters.
-    refs.push_back(graph->AddTransaction({1, 100}));
+    graph->AddTransaction(refs.emplace_back(), {1, 100});
     for (unsigned int i = 0; i < NUM_TOP_TX; ++i) {
-        refs.push_back(graph->AddTransaction(FeePerWeight{500 + i, 100}));
+        graph->AddTransaction(refs.emplace_back(), FeePerWeight{500 + i, 100});
     }
     graph->SanityCheck();
 
@@ -188,7 +197,7 @@ BOOST_AUTO_TEST_CASE(txgraph_trim_huge)
     std::vector<size_t> top_components;
 
     FastRandomContext rng;
-    auto graph = MakeTxGraph(MAX_CLUSTER_COUNT, MAX_CLUSTER_SIZE, NUM_ACCEPTABLE_ITERS);
+    auto graph = MakeTxGraph(MAX_CLUSTER_COUNT, MAX_CLUSTER_SIZE, NUM_ACCEPTABLE_ITERS, PointerComparator);
 
     // Construct the top chains.
     for (int chain = 0; chain < NUM_TOP_CHAINS; ++chain) {
@@ -196,8 +205,8 @@ BOOST_AUTO_TEST_CASE(txgraph_trim_huge)
             // Use random fees, size 1.
             int64_t fee = rng.randbits<27>() + 100;
             FeePerWeight feerate{fee, 1};
-            top_refs.push_back(graph->AddTransaction(feerate));
+            graph->AddTransaction(top_refs.emplace_back(), feerate);
-            // Add internal dependencies linked the chain transactions together.
+            // Add internal dependencies linking the chain transactions together.
             if (chaintx > 0) {
                  graph->AddDependency(*(top_refs.rbegin()), *(top_refs.rbegin() + 1));
             }
@@ -215,7 +224,8 @@ BOOST_AUTO_TEST_CASE(txgraph_trim_huge)
         // Construct the transaction.
         int64_t fee = rng.randbits<27>() + 100;
         FeePerWeight feerate{fee, 1};
-        auto bottom_tx = graph->AddTransaction(feerate);
+        TxGraph::Ref bottom_tx;
+        graph->AddTransaction(bottom_tx, feerate);
         // Determine the number of dependencies this transaction will have.
         int deps = std::min<int>(NUM_DEPS_PER_BOTTOM_TX, top_components.size());
         for (int dep = 0; dep < deps; ++dep) {
@@ -260,7 +270,7 @@ BOOST_AUTO_TEST_CASE(txgraph_trim_big_singletons)
     static constexpr int NUM_TOTAL_TX = 100;
 
     // Create a new graph for the test.
-    auto graph = MakeTxGraph(MAX_CLUSTER_COUNT, MAX_CLUSTER_SIZE, NUM_ACCEPTABLE_ITERS);
+    auto graph = MakeTxGraph(MAX_CLUSTER_COUNT, MAX_CLUSTER_SIZE, NUM_ACCEPTABLE_ITERS, PointerComparator);
 
     // Add all transactions and store their Refs.
     std::vector<TxGraph::Ref> refs;
@@ -271,7 +281,7 @@ BOOST_AUTO_TEST_CASE(txgraph_trim_big_singletons)
         // The 88th transaction is oversized.
         // Every 20th transaction is oversized.
         const FeePerWeight feerate{500 + i, (i == 88 || i % 20 == 0) ? MAX_CLUSTER_SIZE + 1 : 100};
-        refs.push_back(graph->AddTransaction(feerate));
+        graph->AddTransaction(refs.emplace_back(), feerate);
     }
     graph->SanityCheck();
 
@@ -294,7 +304,7 @@ BOOST_AUTO_TEST_CASE(txgraph_trim_big_singletons)
 BOOST_AUTO_TEST_CASE(txgraph_chunk_chain)
 {
     // Create a new graph for the test.
-    auto graph = MakeTxGraph(50, 1000, NUM_ACCEPTABLE_ITERS);
+    auto graph = MakeTxGraph(50, 1000, NUM_ACCEPTABLE_ITERS, PointerComparator);
 
     auto block_builder_checker = [&graph](std::vector<std::vector<TxGraph::Ref*>> expected_chunks) {
         std::vector<std::vector<TxGraph::Ref*>> chunks;
@@ -334,23 +344,23 @@ BOOST_AUTO_TEST_CASE(txgraph_chunk_chain)
 
     // everytime adding a transaction, test the chunk status
     // [A]
-    refs.push_back(graph->AddTransaction(feerateA));
+    graph->AddTransaction(refs.emplace_back(), feerateA);
     BOOST_CHECK_EQUAL(graph->GetTransactionCount(TxGraph::Level::TOP), 1);
     block_builder_checker({{&refs[0]}});
     // [A, B]
-    refs.push_back(graph->AddTransaction(feerateB));
+    graph->AddTransaction(refs.emplace_back(), feerateB);
     graph->AddDependency(/*parent=*/refs[0], /*child=*/refs[1]);
     BOOST_CHECK_EQUAL(graph->GetTransactionCount(TxGraph::Level::TOP), 2);
     block_builder_checker({{&refs[0]}, {&refs[1]}});
 
     // [A, BC]
-    refs.push_back(graph->AddTransaction(feerateC));
+    graph->AddTransaction(refs.emplace_back(), feerateC);
     graph->AddDependency(/*parent=*/refs[1], /*child=*/refs[2]);
     BOOST_CHECK_EQUAL(graph->GetTransactionCount(TxGraph::Level::TOP), 3);
     block_builder_checker({{&refs[0]}, {&refs[1], &refs[2]}});
 
     // [ABCD]
-    refs.push_back(graph->AddTransaction(feerateD));
+    graph->AddTransaction(refs.emplace_back(), feerateD);
     graph->AddDependency(/*parent=*/refs[2], /*child=*/refs[3]);
     BOOST_CHECK_EQUAL(graph->GetTransactionCount(TxGraph::Level::TOP), 4);
     block_builder_checker({{&refs[0], &refs[1], &refs[2], &refs[3]}});
@@ -373,7 +383,7 @@ BOOST_AUTO_TEST_CASE(txgraph_staging)
     /* Create a new graph for the test.
      * The parameters are max_cluster_count, max_cluster_size, acceptable_iters
      */
-    auto graph = MakeTxGraph(10, 1000, NUM_ACCEPTABLE_ITERS);
+    auto graph = MakeTxGraph(10, 1000, NUM_ACCEPTABLE_ITERS, PointerComparator);
 
     std::vector<TxGraph::Ref> refs;
     refs.reserve(2);
@@ -383,7 +393,7 @@ BOOST_AUTO_TEST_CASE(txgraph_staging)
 
     // everytime adding a transaction, test the chunk status
     // [A]
-    refs.push_back(graph->AddTransaction(feerateA));
+    graph->AddTransaction(refs.emplace_back(), feerateA);
     BOOST_CHECK_EQUAL(graph->HaveStaging(), false);
     BOOST_CHECK_EQUAL(graph->GetTransactionCount(TxGraph::Level::TOP), 1);
 
@@ -392,7 +402,7 @@ BOOST_AUTO_TEST_CASE(txgraph_staging)
     BOOST_CHECK_EQUAL(graph->GetTransactionCount(TxGraph::Level::TOP), 1);
 
     // [A, B]
-    refs.push_back(graph->AddTransaction(feerateB));
+    graph->AddTransaction(refs.emplace_back(), feerateB);
     BOOST_CHECK_EQUAL(graph->GetTransactionCount(TxGraph::Level::MAIN), 1);
     BOOST_CHECK_EQUAL(graph->GetTransactionCount(TxGraph::Level::TOP), 2);
     BOOST_CHECK_EQUAL(graph->Exists(refs[0], TxGraph::Level::TOP), true);

src/test/util/txmempool.cpp

@@ -38,7 +38,7 @@ CTxMemPoolEntry TestMemPoolEntryHelper::FromTx(const CMutableTransaction& tx) co
 
 CTxMemPoolEntry TestMemPoolEntryHelper::FromTx(const CTransactionRef& tx) const
 {
-    return CTxMemPoolEntry{TxGraph::Ref(), tx, nFee, TicksSinceEpoch<std::chrono::seconds>(time), nHeight, m_sequence, spendsCoinbase, sigOpCost, lp};
+    return CTxMemPoolEntry{tx, nFee, TicksSinceEpoch<std::chrono::seconds>(time), nHeight, m_sequence, spendsCoinbase, sigOpCost, lp};
 }
 
 std::optional<std::string> CheckPackageMempoolAcceptResult(const Package& txns,

src/txgraph.cpp

@@ -182,8 +182,13 @@ public:
     virtual int GetLevel(const TxGraphImpl& graph) const noexcept = 0;
     /** Only called by TxGraphImpl::SwapIndexes. */
     virtual void UpdateMapping(DepGraphIndex cluster_idx, GraphIndex graph_idx) noexcept = 0;
-    /** Push changes to Cluster and its linearization to the TxGraphImpl Entry objects. */
+    /** Push changes to Cluster and its linearization to the TxGraphImpl Entry objects. Main chunk
-    virtual void Updated(TxGraphImpl& graph, int level) noexcept = 0;
+     *  information is computed if the cluster is acceptable, or when rename is set. Rename is used
+     *  when called from Compact, to recompute after GraphIndexes may have changed; in this case,
+     *  no chunk index objects are removed or created either. */
+    virtual void Updated(TxGraphImpl& graph, int level, bool rename) noexcept = 0;
+    /** Remove all chunk index entries for this cluster (level=0 only). */
+    virtual void RemoveChunkData(TxGraphImpl& graph) noexcept = 0;
     /** Create a copy of this Cluster in staging, returning a pointer to it (used by PullIn). */
     virtual Cluster* CopyToStaging(TxGraphImpl& graph) const noexcept = 0;
     /** Get the list of Clusters in main that conflict with this one (which is assumed to be in staging). */
@@ -279,7 +284,8 @@ public:
     void ExtractTransactions(const std::function<void (DepGraphIndex, GraphIndex, FeePerWeight)>& visit1_fn, const std::function<void (DepGraphIndex, GraphIndex, SetType)>& visit2_fn) noexcept final;
     int GetLevel(const TxGraphImpl& graph) const noexcept final;
     void UpdateMapping(DepGraphIndex cluster_idx, GraphIndex graph_idx) noexcept final { m_mapping[cluster_idx] = graph_idx; }
-    void Updated(TxGraphImpl& graph, int level) noexcept final;
+    void Updated(TxGraphImpl& graph, int level, bool rename) noexcept final;
+    void RemoveChunkData(TxGraphImpl& graph) noexcept final;
     Cluster* CopyToStaging(TxGraphImpl& graph) const noexcept final;
     void GetConflicts(const TxGraphImpl& graph, std::vector<Cluster*>& out) const noexcept final;
     void MakeStagingTransactionsMissing(TxGraphImpl& graph) noexcept final;
@@ -335,7 +341,8 @@ public:
     void ExtractTransactions(const std::function<void (DepGraphIndex, GraphIndex, FeePerWeight)>& visit1_fn, const std::function<void (DepGraphIndex, GraphIndex, SetType)>& visit2_fn) noexcept final;
     int GetLevel(const TxGraphImpl& graph) const noexcept final;
     void UpdateMapping(DepGraphIndex cluster_idx, GraphIndex graph_idx) noexcept final { Assume(cluster_idx == 0); m_graph_index = graph_idx; }
-    void Updated(TxGraphImpl& graph, int level) noexcept final;
+    void Updated(TxGraphImpl& graph, int level, bool rename) noexcept final;
+    void RemoveChunkData(TxGraphImpl& graph) noexcept final;
     Cluster* CopyToStaging(TxGraphImpl& graph) const noexcept final;
     void GetConflicts(const TxGraphImpl& graph, std::vector<Cluster*>& out) const noexcept final;
     void MakeStagingTransactionsMissing(TxGraphImpl& graph) noexcept final;
@@ -396,6 +403,8 @@ private:
     /** The number of linearization improvement steps needed per cluster to be considered
      *  acceptable. */
     const uint64_t m_acceptable_iters;
+    /** Fallback ordering for transactions. */
+    const std::function<std::strong_ordering(const TxGraph::Ref&, const TxGraph::Ref&)> m_fallback_order;
 
     /** Information about one group of Clusters to be merged. */
     struct GroupEntry
@@ -483,6 +492,7 @@ private:
     /** Compare two entries (which must both exist within the main graph). */
     std::strong_ordering CompareMainTransactions(GraphIndex a, GraphIndex b) const noexcept
     {
+        if (a == b) return std::strong_ordering::equal;
         Assume(a < m_entries.size() && b < m_entries.size());
         const auto& entry_a = m_entries[a];
         const auto& entry_b = m_entries[b];
@@ -490,14 +500,27 @@ private:
         auto feerate_cmp = FeeRateCompare(entry_b.m_main_chunk_feerate, entry_a.m_main_chunk_feerate);
         if (feerate_cmp < 0) return std::strong_ordering::less;
         if (feerate_cmp > 0) return std::strong_ordering::greater;
-        // Compare Cluster m_sequence as tie-break for equal chunk feerates.
+        // Compare equal-feerate chunk prefix size for comparing equal chunk feerates. This does two
+        // things: it distinguishes equal-feerate chunks within the same cluster (because later
+        // ones will always have a higher prefix size), and it may distinguish equal-feerate chunks
+        // from distinct clusters.
+        if (entry_a.m_main_equal_feerate_chunk_prefix_size != entry_b.m_main_equal_feerate_chunk_prefix_size) {
+            return entry_a.m_main_equal_feerate_chunk_prefix_size <=> entry_b.m_main_equal_feerate_chunk_prefix_size;
+        }
+        // Compare by maximum m_fallback_order element to order equal-feerate chunks in distinct
+        // clusters, when the equal-feerate-prefix size is also the same.
         const auto& locator_a = entry_a.m_locator[0];
         const auto& locator_b = entry_b.m_locator[0];
         Assume(locator_a.IsPresent() && locator_b.IsPresent());
         if (locator_a.cluster != locator_b.cluster) {
+            auto fallback_cmp = m_fallback_order(*m_entries[entry_a.m_main_max_chunk_fallback].m_ref,
+                                                 *m_entries[entry_b.m_main_max_chunk_fallback].m_ref);
+            if (fallback_cmp != 0) return fallback_cmp;
+            // This shouldn't be reachable as m_fallback_order defines a strong ordering.
+            Assume(false);
             return CompareClusters(locator_a.cluster, locator_b.cluster);
         }
-        // As final tie-break, compare position within cluster linearization.
+        // Within a single chunk, sort by position within cluster linearization.
         return entry_a.m_main_lin_index <=> entry_b.m_main_lin_index;
     }
 
@@ -588,8 +611,18 @@ private:
         Locator m_locator[MAX_LEVELS];
         /** The chunk feerate of this transaction in main (if present in m_locator[0]). */
         FeePerWeight m_main_chunk_feerate;
+        /** The equal-feerate chunk prefix size of this transaction in main. If the transaction is
+         *  part of chunk C in main, then this gives the sum of the sizes of all chunks in C's
+         *  cluster, whose feerate is equal to that of C, which do not appear after C itself in
+         *  the cluster's linearization.
+         *  This provides a way to sort equal-feerate chunks across clusters, in a way that agrees
+         *  with the within-cluster chunk ordering. */
+        int32_t m_main_equal_feerate_chunk_prefix_size;
         /** The position this transaction has in the main linearization (if present). */
         LinearizationIndex m_main_lin_index;
+        /** Of all transactions within this transaction's chunk in main (if present there), the
+         *  maximal one according to m_fallback_order. */
+        GraphIndex m_main_max_chunk_fallback = GraphIndex(-1);
     };
 
     /** The set of all transactions (in all levels combined). GraphIndex values index into this. */
@@ -599,11 +632,17 @@ private:
     std::vector<GraphIndex> m_unlinked;
 
 public:
-    /** Construct a new TxGraphImpl with the specified limits. */
+    /** Construct a new TxGraphImpl with the specified limits and fallback order. */
-    explicit TxGraphImpl(DepGraphIndex max_cluster_count, uint64_t max_cluster_size, uint64_t acceptable_iters) noexcept :
+    explicit TxGraphImpl(
+        DepGraphIndex max_cluster_count,
+        uint64_t max_cluster_size,
+        uint64_t acceptable_iters,
+        const std::function<std::strong_ordering(const TxGraph::Ref&, const TxGraph::Ref&)>& fallback_order
+    ) noexcept :
         m_max_cluster_count(max_cluster_count),
         m_max_cluster_size(max_cluster_size),
         m_acceptable_iters(acceptable_iters),
+        m_fallback_order(fallback_order),
         m_main_chunkindex(ChunkOrder(this))
     {
         Assume(max_cluster_count >= 1);
@@ -621,8 +660,9 @@ public:
 
     // Simple helper functions.
 
-    /** Swap the Entry referred to by a and the one referred to by b. */
+    /** Swap the Entry referred to by a and the one referred to by b. Gather main clusters to
-    void SwapIndexes(GraphIndex a, GraphIndex b) noexcept;
+     *  update afterwards. */
+    void SwapIndexes(GraphIndex a, GraphIndex b, std::vector<Cluster*>& affected_main) noexcept;
     /** If idx exists in the specified level ClusterSet (explicitly, or in the level below and not
     *   removed), return the Cluster it is in. Otherwise, return nullptr. */
     Cluster* FindCluster(GraphIndex idx, int level) const noexcept { return FindClusterAndLevel(idx, level).first; }
@@ -693,6 +733,11 @@ public:
         auto& entry = m_entries[idx];
         Assume(entry.m_ref != nullptr);
         Assume(m_main_chunkindex_observers == 0 || !entry.m_locator[0].IsPresent());
+        // Remove all chunk index entries for the affected cluster, to avoid any chunk indexes
+        // referencing unlinked/destroyed Refs.
+        if (entry.m_locator[0].IsPresent()) {
+            entry.m_locator[0].cluster->RemoveChunkData(*this);
+        }
         entry.m_ref = nullptr;
         // Mark the transaction as to be removed in all levels where it explicitly or implicitly
         // exists.
@@ -753,7 +798,7 @@ public:
 
     // Implementations for the public TxGraph interface.
 
-    Ref AddTransaction(const FeePerWeight& feerate) noexcept final;
+    void AddTransaction(Ref& arg, const FeePerWeight& feerate) noexcept final;
     void RemoveTransaction(const Ref& arg) noexcept final;
     void AddDependency(const Ref& parent, const Ref& child) noexcept final;
     void SetTransactionFee(const Ref&, int64_t fee) noexcept final;
@@ -848,6 +893,9 @@ void TxGraphImpl::ClearChunkData(Entry& entry) noexcept
 void TxGraphImpl::CreateChunkData(GraphIndex idx, LinearizationIndex chunk_count) noexcept
 {
     auto& entry = m_entries[idx];
+    // Make sure to not create chunk data for unlinked entries, which would make invoking
+    // m_fallback_order on them impossible.
+    Assume(entry.m_ref != nullptr);
     if (!m_main_chunkindex_discarded.empty()) {
         // Reuse an discarded node handle.
         auto& node = m_main_chunkindex_discarded.back().value();
@@ -1007,14 +1055,29 @@ void TxGraphImpl::ClearLocator(int level, GraphIndex idx, bool oversized_tx) noe
     if (level == 0) ClearChunkData(entry);
 }
 
-void GenericClusterImpl::Updated(TxGraphImpl& graph, int level) noexcept
+void GenericClusterImpl::RemoveChunkData(TxGraphImpl& graph) noexcept
+{
+    for (DepGraphIndex idx : m_linearization) {
+        auto& entry = graph.m_entries[m_mapping[idx]];
+        graph.ClearChunkData(entry);
+    }
+}
+
+void SingletonClusterImpl::RemoveChunkData(TxGraphImpl& graph) noexcept
+{
+    if (GetTxCount() == 0) return;
+    auto& entry = graph.m_entries[m_graph_index];
+    graph.ClearChunkData(entry);
+}
+
+void GenericClusterImpl::Updated(TxGraphImpl& graph, int level, bool rename) noexcept
 {
     // Update all the Locators for this Cluster's Entry objects.
     for (DepGraphIndex idx : m_linearization) {
         auto& entry = graph.m_entries[m_mapping[idx]];
         // Discard any potential ChunkData prior to modifying the Cluster (as that could
         // invalidate its ordering).
-        if (level == 0) graph.ClearChunkData(entry);
+        if (level == 0 && !rename) graph.ClearChunkData(entry);
         entry.m_locator[level].SetPresent(this, idx);
     }
     // If this is for the main graph (level = 0), and the Cluster's quality is ACCEPTABLE or
@@ -1022,14 +1085,40 @@ void GenericClusterImpl::Updated(TxGraphImpl& graph, int level) noexcept
     // and m_main_chunk_feerate. These fields are only accessed after making the entire graph
     // ACCEPTABLE, so it is pointless to compute these if we haven't reached that quality level
     // yet.
-    if (level == 0 && IsAcceptable()) {
+    // When rename=true, this is always performed for level 0, to make sure the values inside the
+    // entries remain consistent with the chunk index (otherwise unrelated chunk index operations
+    // could cause the index to become corrupted, by inserting elements in the wrong place).
+    if (level == 0 && (rename || IsAcceptable())) {
         auto chunking = ChunkLinearizationInfo(m_depgraph, m_linearization);
         LinearizationIndex lin_idx{0};
+        /** The sum of all chunk feerate FeeFracs with the same feerate as the current chunk,
+         *  up to and including the current chunk. */
+        FeeFrac equal_feerate_chunk_feerate;
         // Iterate over the chunks.
         for (unsigned chunk_idx = 0; chunk_idx < chunking.size(); ++chunk_idx) {
             auto& chunk = chunking[chunk_idx];
             auto chunk_count = chunk.transactions.Count();
             Assume(chunk_count > 0);
+            // Update equal_feerate_chunk_feerate to include this chunk, starting over when the
+            // feerate changed.
+            if (chunk.feerate << equal_feerate_chunk_feerate) {
+                equal_feerate_chunk_feerate = chunk.feerate;
+            } else {
+                // Note that this is adding fees to fees, and sizes to sizes, so the overall
+                // ratio remains the same; it's just accounting for the size of the added chunk.
+                equal_feerate_chunk_feerate += chunk.feerate;
+            }
+            // Determine the m_fallback_order maximum transaction in the chunk.
+            auto it = chunk.transactions.begin();
+            GraphIndex max_element = m_mapping[*it];
+            ++it;
+            while (it != chunk.transactions.end()) {
+                GraphIndex this_element = m_mapping[*it];
+                if (graph.m_fallback_order(*graph.m_entries[this_element].m_ref, *graph.m_entries[max_element].m_ref) > 0) {
+                    max_element = this_element;
+                }
+                ++it;
+            }
             // Iterate over the transactions in the linearization, which must match those in chunk.
             while (true) {
                 DepGraphIndex idx = m_linearization[lin_idx];
@@ -1037,6 +1126,8 @@ void GenericClusterImpl::Updated(TxGraphImpl& graph, int level) noexcept
                 auto& entry = graph.m_entries[graph_idx];
                 entry.m_main_lin_index = lin_idx++;
                 entry.m_main_chunk_feerate = FeePerWeight::FromFeeFrac(chunk.feerate);
+                entry.m_main_equal_feerate_chunk_prefix_size = equal_feerate_chunk_feerate.size;
+                entry.m_main_max_chunk_fallback = max_element;
                 Assume(chunk.transactions[idx]);
                 chunk.transactions.Reset(idx);
                 if (chunk.transactions.None()) {
@@ -1047,7 +1138,7 @@ void GenericClusterImpl::Updated(TxGraphImpl& graph, int level) noexcept
                         // clusters), store the special value -1 as chunk count.
                         chunk_count = LinearizationIndex(-1);
                     }
-                    graph.CreateChunkData(graph_idx, chunk_count);
+                    if (!rename) graph.CreateChunkData(graph_idx, chunk_count);
                     break;
                 }
             }
@@ -1055,7 +1146,7 @@ void GenericClusterImpl::Updated(TxGraphImpl& graph, int level) noexcept
     }
 }
 
-void SingletonClusterImpl::Updated(TxGraphImpl& graph, int level) noexcept
+void SingletonClusterImpl::Updated(TxGraphImpl& graph, int level, bool rename) noexcept
 {
     // Don't do anything if this is empty.
     if (GetTxCount() == 0) return;
@@ -1063,16 +1154,18 @@ void SingletonClusterImpl::Updated(TxGraphImpl& graph, int level) noexcept
     auto& entry = graph.m_entries[m_graph_index];
     // Discard any potential ChunkData prior to modifying the Cluster (as that could
     // invalidate its ordering).
-    if (level == 0) graph.ClearChunkData(entry);
+    if (level == 0 && !rename) graph.ClearChunkData(entry);
     entry.m_locator[level].SetPresent(this, 0);
     // If this is for the main graph (level = 0), compute its chunking and store its information in
     // the Entry's m_main_lin_index and m_main_chunk_feerate.
-    if (level == 0 && IsAcceptable()) {
+    if (level == 0 && (rename || IsAcceptable())) {
         entry.m_main_lin_index = 0;
         entry.m_main_chunk_feerate = m_feerate;
+        entry.m_main_equal_feerate_chunk_prefix_size = m_feerate.size;
+        entry.m_main_max_chunk_fallback = m_graph_index;
         // Always use the special LinearizationIndex(-1), indicating singleton chunk at end of
         // Cluster, here.
-        graph.CreateChunkData(m_graph_index, LinearizationIndex(-1));
+        if (!rename) graph.CreateChunkData(m_graph_index, LinearizationIndex(-1));
     }
 }
 
@@ -1138,7 +1231,7 @@ Cluster* GenericClusterImpl::CopyToStaging(TxGraphImpl& graph) const noexcept
     // Insert the new Cluster into the graph.
     graph.InsertCluster(/*level=*/1, std::move(ret), m_quality);
     // Update its Locators.
-    ptr->Updated(graph, /*level=*/1);
+    ptr->Updated(graph, /*level=*/1, /*rename=*/false);
     // Update memory usage.
     graph.GetClusterSet(/*level=*/1).m_cluster_usage += ptr->TotalMemoryUsage();
     return ptr;
@@ -1155,7 +1248,7 @@ Cluster* SingletonClusterImpl::CopyToStaging(TxGraphImpl& graph) const noexcept
     // Insert the new Cluster into the graph.
     graph.InsertCluster(/*level=*/1, std::move(ret), m_quality);
     // Update its Locators.
-    ptr->Updated(graph, /*level=*/1);
+    ptr->Updated(graph, /*level=*/1, /*rename=*/false);
     // Update memory usage.
     graph.GetClusterSet(/*level=*/1).m_cluster_usage += ptr->TotalMemoryUsage();
     return ptr;
@@ -1204,7 +1297,7 @@ void GenericClusterImpl::ApplyRemovals(TxGraphImpl& graph, int level, std::span<
     graph.GetClusterSet(level).m_cluster_usage += TotalMemoryUsage();
     auto new_quality = IsTopological() ? QualityLevel::NEEDS_SPLIT : QualityLevel::NEEDS_SPLIT_FIX;
     graph.SetClusterQuality(level, m_quality, m_setindex, new_quality);
-    Updated(graph, level);
+    Updated(graph, /*level=*/level, /*rename=*/false);
 }
 
 void SingletonClusterImpl::ApplyRemovals(TxGraphImpl& graph, int level, std::span<GraphIndex>& to_remove) noexcept
@@ -1260,7 +1353,7 @@ void GenericClusterImpl::MoveToMain(TxGraphImpl& graph) noexcept
     // Remove cluster itself from staging and add it to main.
     auto cluster = graph.ExtractCluster(1, quality, m_setindex);
     graph.InsertCluster(/*level=*/0, std::move(cluster), quality);
-    Updated(graph, /*level=*/0);
+    Updated(graph, /*level=*/0, /*rename=*/false);
 }
 
 void SingletonClusterImpl::MoveToMain(TxGraphImpl& graph) noexcept
@@ -1274,7 +1367,7 @@ void SingletonClusterImpl::MoveToMain(TxGraphImpl& graph) noexcept
     auto cluster = graph.ExtractCluster(/*level=*/1, quality, m_setindex);
     graph.InsertCluster(/*level=*/0, std::move(cluster), quality);
     graph.GetClusterSet(/*level=*/0).m_cluster_usage += TotalMemoryUsage();
-    Updated(graph, /*level=*/0);
+    Updated(graph, /*level=*/0, /*rename=*/false);
 }
 
 void GenericClusterImpl::Compact() noexcept
@@ -1372,7 +1465,7 @@ bool GenericClusterImpl::Split(TxGraphImpl& graph, int level) noexcept
             graph.SetClusterQuality(level, m_quality, m_setindex, split_quality);
             // If this made the quality ACCEPTABLE or OPTIMAL, we need to compute and cache its
             // chunking.
-            Updated(graph, level);
+            Updated(graph, /*level=*/level, /*rename=*/false);
             return false;
         }
         first = false;
@@ -1407,7 +1500,7 @@ bool GenericClusterImpl::Split(TxGraphImpl& graph, int level) noexcept
     }
     // Update all the Locators of moved transactions, and memory usage.
     for (Cluster* new_cluster : new_clusters) {
-        new_cluster->Updated(graph, level);
+        new_cluster->Updated(graph, /*level=*/level, /*rename=*/false);
         new_cluster->Compact();
         graph.GetClusterSet(level).m_cluster_usage += new_cluster->TotalMemoryUsage();
     }
@@ -1497,7 +1590,7 @@ void GenericClusterImpl::ApplyDependencies(TxGraphImpl& graph, int level, std::s
     graph.SetClusterQuality(level, m_quality, m_setindex, QualityLevel::NEEDS_FIX);
 
     // Finally push the changes to graph.m_entries.
-    Updated(graph, level);
+    Updated(graph, /*level=*/level, /*rename=*/false);
 }
 
 void SingletonClusterImpl::ApplyDependencies(TxGraphImpl&, int, std::span<std::pair<GraphIndex, GraphIndex>>) noexcept
@@ -1653,7 +1746,7 @@ void TxGraphImpl::ApplyRemovals(int up_to_level) noexcept
     Compact();
 }
 
-void TxGraphImpl::SwapIndexes(GraphIndex a, GraphIndex b) noexcept
+void TxGraphImpl::SwapIndexes(GraphIndex a, GraphIndex b, std::vector<Cluster*>& affected_main) noexcept
 {
     Assume(a < m_entries.size());
     Assume(b < m_entries.size());
@@ -1669,12 +1762,12 @@ void TxGraphImpl::SwapIndexes(GraphIndex a, GraphIndex b) noexcept
         if (entry.m_main_chunkindex_iterator != m_main_chunkindex.end()) {
             entry.m_main_chunkindex_iterator->m_graph_index = idx;
         }
-        // Update the locators for both levels. The rest of the Entry information will not change,
+        // Update the locators for both levels.
-        // so no need to invoke Cluster::Updated().
         for (int level = 0; level < MAX_LEVELS; ++level) {
             Locator& locator = entry.m_locator[level];
             if (locator.IsPresent()) {
                 locator.cluster->UpdateMapping(locator.index, idx);
+                if (level == 0) affected_main.push_back(locator.cluster);
             }
         }
     }
@@ -1702,6 +1795,7 @@ void TxGraphImpl::Compact() noexcept
     // invalidate them).
     std::sort(m_unlinked.begin(), m_unlinked.end(), std::greater{});
 
+    std::vector<Cluster*> affected_main;
     auto last = GraphIndex(-1);
     for (GraphIndex idx : m_unlinked) {
         // m_unlinked should never contain the same GraphIndex twice (the code below would fail
@@ -1718,10 +1812,18 @@ void TxGraphImpl::Compact() noexcept
         }
 
         // Move the entry to the end.
-        if (idx != m_entries.size() - 1) SwapIndexes(idx, m_entries.size() - 1);
+        if (idx != m_entries.size() - 1) SwapIndexes(idx, m_entries.size() - 1, affected_main);
         // Drop the entry for idx, now that it is at the end.
         m_entries.pop_back();
     }
+
+    // Update the affected clusters, to fixup Entry::m_main_max_chunk_fallback values which may
+    // have become outdated due to the compaction above.
+    std::sort(affected_main.begin(), affected_main.end());
+    affected_main.erase(std::unique(affected_main.begin(), affected_main.end()), affected_main.end());
+    for (Cluster* cluster : affected_main) {
+        cluster->Updated(*this, /*level=*/0, /*rename=*/true);
+    }
     m_unlinked.clear();
 }
 
@@ -2061,8 +2163,13 @@ std::pair<uint64_t, bool> GenericClusterImpl::Relinearize(TxGraphImpl& graph, in
     if (IsOptimal()) return {0, false};
     // Invoke the actual linearization algorithm (passing in the existing one).
     uint64_t rng_seed = graph.m_rng.rand64();
-    auto [linearization, optimal, cost] = Linearize(m_depgraph, max_iters, rng_seed, m_linearization, /*is_topological=*/IsTopological());
+    const auto fallback_order = [&](DepGraphIndex a, DepGraphIndex b) noexcept {
-    // Postlinearize to undo some of the non-determinism caused by randomizing the linearization.
+        const auto ref_a = graph.m_entries[m_mapping[a]].m_ref;
+        const auto ref_b = graph.m_entries[m_mapping[b]].m_ref;
+        return graph.m_fallback_order(*ref_a, *ref_b);
+    };
+    auto [linearization, optimal, cost] = Linearize(m_depgraph, max_iters, rng_seed, fallback_order, m_linearization, /*is_topological=*/IsTopological());
+    // Postlinearize to improve the linearization (if optimal, only the sub-chunk order).
     // This also guarantees that all chunks are connected (even when non-optimal).
     PostLinearize(m_depgraph, linearization);
     // Update the linearization.
@@ -2080,7 +2187,7 @@ std::pair<uint64_t, bool> GenericClusterImpl::Relinearize(TxGraphImpl& graph, in
         improved = true;
     }
     // Update the Entry objects.
-    Updated(graph, level);
+    Updated(graph, /*level=*/level, /*rename=*/false);
     return {cost, improved};
 }
 
@@ -2115,20 +2222,19 @@ void TxGraphImpl::MakeAllAcceptable(int level) noexcept
 
 GenericClusterImpl::GenericClusterImpl(uint64_t sequence) noexcept : Cluster{sequence} {}
 
-TxGraph::Ref TxGraphImpl::AddTransaction(const FeePerWeight& feerate) noexcept
+void TxGraphImpl::AddTransaction(Ref& arg, const FeePerWeight& feerate) noexcept
 {
     Assume(m_main_chunkindex_observers == 0 || GetTopLevel() != 0);
     Assume(feerate.size > 0);
-    // Construct a new Ref.
+    Assume(GetRefGraph(arg) == nullptr);
-    Ref ret;
     // Construct a new Entry, and link it with the Ref.
     auto idx = m_entries.size();
     m_entries.emplace_back();
     auto& entry = m_entries.back();
     entry.m_main_chunkindex_iterator = m_main_chunkindex.end();
-    entry.m_ref = &ret;
+    entry.m_ref = &arg;
-    GetRefGraph(ret) = this;
+    GetRefGraph(arg) = this;
-    GetRefIndex(ret) = idx;
+    GetRefIndex(arg) = idx;
     // Construct a new singleton Cluster (which is necessarily optimally linearized).
     bool oversized = uint64_t(feerate.size) > m_max_cluster_size;
     auto cluster = CreateEmptyCluster(1);
@@ -2137,7 +2243,7 @@ TxGraph::Ref TxGraphImpl::AddTransaction(const FeePerWeight& feerate) noexcept
     int level = GetTopLevel();
     auto& clusterset = GetClusterSet(level);
     InsertCluster(level, std::move(cluster), oversized ? QualityLevel::OVERSIZED_SINGLETON : QualityLevel::OPTIMAL);
-    cluster_ptr->Updated(*this, level);
+    cluster_ptr->Updated(*this, /*level=*/level, /*rename=*/false);
     clusterset.m_cluster_usage += cluster_ptr->TotalMemoryUsage();
     ++clusterset.m_txcount;
     // Deal with individually oversized transactions.
@@ -2146,8 +2252,6 @@ TxGraph::Ref TxGraphImpl::AddTransaction(const FeePerWeight& feerate) noexcept
         clusterset.m_oversized = true;
         clusterset.m_group_data = std::nullopt;
     }
-    // Return the Ref.
-    return ret;
 }
 
 void TxGraphImpl::RemoveTransaction(const Ref& arg) noexcept
@@ -2574,6 +2678,10 @@ void TxGraphImpl::CommitStaging() noexcept
     // Staging must exist.
     Assume(m_staging_clusterset.has_value());
     Assume(m_main_chunkindex_observers == 0);
+    // Get rid of removed transactions in staging before moving to main, so they do not need to be
+    // added to the chunk index there. Doing so is impossible if they were unlinked, and thus have
+    // no Ref anymore to pass to the fallback comparator.
+    ApplyRemovals(/*up_to_level=*/1);
     // Delete all conflicting Clusters in main, to make place for moving the staging ones
     // there. All of these have been copied to staging in PullIn().
     auto conflicts = GetConflicts();
@@ -2619,7 +2727,7 @@ void GenericClusterImpl::SetFee(TxGraphImpl& graph, int level, DepGraphIndex idx
     } else if (IsAcceptable()) {
         graph.SetClusterQuality(level, m_quality, m_setindex, QualityLevel::NEEDS_RELINEARIZE);
     }
-    Updated(graph, level);
+    Updated(graph, /*level=*/level, /*rename=*/false);
 }
 
 void SingletonClusterImpl::SetFee(TxGraphImpl& graph, int level, DepGraphIndex idx, int64_t fee) noexcept
@@ -2627,7 +2735,7 @@ void SingletonClusterImpl::SetFee(TxGraphImpl& graph, int level, DepGraphIndex i
     Assume(GetTxCount());
     Assume(idx == 0);
     m_feerate.fee = fee;
-    Updated(graph, level);
+    Updated(graph, /*level=*/level, /*rename=*/false);
 }
 
 void TxGraphImpl::SetTransactionFee(const Ref& ref, int64_t fee) noexcept
@@ -2740,6 +2848,8 @@ void GenericClusterImpl::SanityCheck(const TxGraphImpl& graph, int level) const
     LinearizationIndex linindex{0};
     DepGraphIndex chunk_pos{0}; //!< position within the current chunk
     assert(m_depgraph.IsAcyclic());
+    if (m_linearization.empty()) return;
+    FeeFrac equal_feerate_prefix = linchunking[chunk_num].feerate;
     for (auto lin_pos : m_linearization) {
         assert(lin_pos < m_mapping.size());
         const auto& entry = graph.m_entries[m_mapping[lin_pos]];
@@ -2756,12 +2866,22 @@ void GenericClusterImpl::SanityCheck(const TxGraphImpl& graph, int level) const
             assert(entry.m_main_lin_index == linindex);
             ++linindex;
             if (!linchunking[chunk_num].transactions[lin_pos]) {
+                // First transaction of a new chunk.
                 ++chunk_num;
+                assert(chunk_num < linchunking.size());
                 chunk_pos = 0;
+                if (linchunking[chunk_num].feerate << equal_feerate_prefix) {
+                    equal_feerate_prefix = linchunking[chunk_num].feerate;
+                } else {
+                    assert(!(linchunking[chunk_num].feerate >> equal_feerate_prefix));
+                    equal_feerate_prefix += linchunking[chunk_num].feerate;
+                }
             }
             assert(entry.m_main_chunk_feerate == linchunking[chunk_num].feerate);
+            assert(entry.m_main_equal_feerate_chunk_prefix_size == equal_feerate_prefix.size);
             // Verify that an entry in the chunk index exists for every chunk-ending transaction.
             ++chunk_pos;
+            if (graph.m_main_clusterset.m_to_remove.empty()) {
                 bool is_chunk_end = (chunk_pos == linchunking[chunk_num].transactions.Count());
                 assert((entry.m_main_chunkindex_iterator != graph.m_main_chunkindex.end()) == is_chunk_end);
                 if (is_chunk_end) {
@@ -2772,6 +2892,7 @@ void GenericClusterImpl::SanityCheck(const TxGraphImpl& graph, int level) const
                         assert(chunk_data.m_chunk_count == chunk_pos);
                     }
                 }
+            }
             // If this Cluster has an acceptable quality level, its chunks must be connected.
             assert(m_depgraph.IsConnected(linchunking[chunk_num].transactions));
         }
@@ -2793,12 +2914,15 @@ void SingletonClusterImpl::SanityCheck(const TxGraphImpl& graph, int level) cons
         if (level == 0 && IsAcceptable()) {
             assert(entry.m_main_lin_index == 0);
             assert(entry.m_main_chunk_feerate == m_feerate);
+            assert(entry.m_main_equal_feerate_chunk_prefix_size == m_feerate.size);
+            if (graph.m_main_clusterset.m_to_remove.empty()) {
                 assert(entry.m_main_chunkindex_iterator != graph.m_main_chunkindex.end());
                 auto& chunk_data = *entry.m_main_chunkindex_iterator;
                 assert(chunk_data.m_chunk_count == LinearizationIndex(-1));
             }
         }
     }
+}
 
 void TxGraphImpl::SanityCheck() const
 {
@@ -3438,7 +3562,11 @@ TxGraph::Ref::Ref(Ref&& other) noexcept
     std::swap(m_index, other.m_index);
 }
 
-std::unique_ptr<TxGraph> MakeTxGraph(unsigned max_cluster_count, uint64_t max_cluster_size, uint64_t acceptable_iters) noexcept
+std::unique_ptr<TxGraph> MakeTxGraph(
+    unsigned max_cluster_count,
+    uint64_t max_cluster_size,
+    uint64_t acceptable_iters,
+    const std::function<std::strong_ordering(const TxGraph::Ref&, const TxGraph::Ref&)>& fallback_order) noexcept
 {
-    return std::make_unique<TxGraphImpl>(max_cluster_count, max_cluster_size, acceptable_iters);
+    return std::make_unique<TxGraphImpl>(max_cluster_count, max_cluster_size, acceptable_iters, fallback_order);
 }

src/txgraph.h

@@ -4,6 +4,7 @@
 
 #include <compare>
 #include <cstdint>
+#include <functional>
 #include <memory>
 #include <optional>
 #include <utility>
@@ -67,12 +68,14 @@ public:
 
     /** Virtual destructor, so inheriting is safe. */
     virtual ~TxGraph() = default;
-    /** Construct a new transaction with the specified feerate, and return a Ref to it.
+    /** Initialize arg (which must be an empty Ref) to refer to a new transaction in this graph
+     *  with the specified feerate.
+     *
      *  If a staging graph exists, the new transaction is only created there. feerate.size must be
-     *  strictly positive. In all further calls, only Refs created by AddTransaction() are allowed
+     *  strictly positive. In all further calls, only Refs passed to AddTransaction() are allowed
      *  to be passed to this TxGraph object (or empty Ref objects). Ref objects may outlive the
-     *  TxGraph they were created for. */
+     *  TxGraph they were added to. */
-    [[nodiscard]] virtual Ref AddTransaction(const FeePerWeight& feerate) noexcept = 0;
+    virtual void AddTransaction(Ref& arg, const FeePerWeight& feerate) noexcept = 0;
     /** Remove the specified transaction. If a staging graph exists, the removal only happens
      *  there. This is a no-op if the transaction was already removed.
      *
@@ -235,8 +238,7 @@ public:
         /** Index into the Graph's m_entries. Only used if m_graph != nullptr. */
         GraphIndex m_index = GraphIndex(-1);
     public:
-        /** Construct an empty Ref. Non-empty Refs can only be created using
+        /** Construct an empty Ref. It can be initialized through TxGraph::AddTransaction. */
-         *  TxGraph::AddTransaction. */
         Ref() noexcept = default;
         /** Destroy this Ref. If it is not empty, the corresponding transaction is removed (in both
          *  main and staging, if it exists). */
@@ -252,9 +254,20 @@ public:
 };
 
 /** Construct a new TxGraph with the specified limit on the number of transactions within a cluster,
- *  and on the sum of transaction sizes within a cluster. max_cluster_count cannot exceed
+ *  and on the sum of transaction sizes within a cluster.
- *  MAX_CLUSTER_COUNT_LIMIT. acceptable_iters controls how many linearization optimization
+ *
- *  steps will be performed per cluster before they are considered to be of acceptable quality. */
+ * - max_cluster_count cannot exceed MAX_CLUSTER_COUNT_LIMIT.
-std::unique_ptr<TxGraph> MakeTxGraph(unsigned max_cluster_count, uint64_t max_cluster_size, uint64_t acceptable_iters) noexcept;
+ * - acceptable_iters controls how many linearization optimization steps will be performed per
+ *   cluster before they are considered to be of acceptable quality.
+ * - fallback_order determines how to break tie-breaks between transactions:
+ *   fallback_order(a, b) < 0 means a is "better" than b, and will (in case of ties) be placed
+ *   first. This ordering must be stable over the transactions' lifetimes.
+ */
+std::unique_ptr<TxGraph> MakeTxGraph(
+    unsigned max_cluster_count,
+    uint64_t max_cluster_size,
+    uint64_t acceptable_iters,
+    const std::function<std::strong_ordering(const TxGraph::Ref&, const TxGraph::Ref&)>& fallback_order
+) noexcept;
 
 #endif // BITCOIN_TXGRAPH_H

src/txmempool.cpp

@@ -176,7 +176,15 @@ static CTxMemPool::Options&& Flatten(CTxMemPool::Options&& opts, bilingual_str&
 CTxMemPool::CTxMemPool(Options opts, bilingual_str& error)
     : m_opts{Flatten(std::move(opts), error)}
 {
-    m_txgraph = MakeTxGraph(m_opts.limits.cluster_count, m_opts.limits.cluster_size_vbytes * WITNESS_SCALE_FACTOR, ACCEPTABLE_ITERS);
+    m_txgraph = MakeTxGraph(
+        /*max_cluster_count=*/m_opts.limits.cluster_count,
+        /*max_cluster_size=*/m_opts.limits.cluster_size_vbytes * WITNESS_SCALE_FACTOR,
+        /*acceptable_iters=*/ACCEPTABLE_ITERS,
+        /*fallback_order=*/[&](const TxGraph::Ref& a, const TxGraph::Ref& b) noexcept {
+            const Txid& txid_a = static_cast<const CTxMemPoolEntry&>(a).GetTx().GetHash();
+            const Txid& txid_b = static_cast<const CTxMemPoolEntry&>(b).GetTx().GetHash();
+            return txid_a <=> txid_b;
+        });
 }
 
 bool CTxMemPool::isSpent(const COutPoint& outpoint) const
@@ -1000,8 +1008,9 @@ CTxMemPool::ChangeSet::TxHandle CTxMemPool::ChangeSet::StageAddition(const CTran
     CAmount delta{0};
     m_pool->ApplyDelta(tx->GetHash(), delta);
 
-    TxGraph::Ref ref(m_pool->m_txgraph->AddTransaction(FeePerWeight(fee, GetSigOpsAdjustedWeight(GetTransactionWeight(*tx), sigops_cost, ::nBytesPerSigOp))));
+    FeePerWeight feerate(fee, GetSigOpsAdjustedWeight(GetTransactionWeight(*tx), sigops_cost, ::nBytesPerSigOp));
-    auto newit = m_to_add.emplace(std::move(ref), tx, fee, time, entry_height, entry_sequence, spends_coinbase, sigops_cost, lp).first;
+    auto newit = m_to_add.emplace(tx, fee, time, entry_height, entry_sequence, spends_coinbase, sigops_cost, lp).first;
+    m_pool->m_txgraph->AddTransaction(const_cast<CTxMemPoolEntry&>(*newit), feerate);
     if (delta) {
         newit->UpdateModifiedFee(delta);
         m_pool->m_txgraph->SetTransactionFee(*newit, newit->GetModifiedFee());

test/functional/mempool_packages.py

@@ -239,9 +239,9 @@ class MempoolPackagesTest(BitcoinTestFramework):
         self.generate(self.nodes[0], 1)
         self.trigger_reorg(fork_blocks, self.nodes[0])
 
-        # Check if the txs are returned to the mempool (though the transaction ordering may
+        # Check that the txs are returned to the mempool, and that transaction ordering is
-        # change as it is non-deterministic).
+        # unchanged, as it is deterministic.
-        assert_equal(set(self.nodes[0].getrawmempool()), set(mempool0))
+        assert_equal(self.nodes[0].getrawmempool(), mempool0)
 
         # Clean-up the mempool
         self.generate(self.nodes[0], 1)