Downgrade Geth to 1.13.14 (#7)

I prematurely upgraded to Geth 1.14.5, which causes `plugeth-statediff` modules not to match `plugeth`. This is the simplest solution until Plugeth merges Geth 1.14+.

Reviewed-on: #7

.gitea/workflows/test.yml

@@ -0,0 +1,21 @@
+name: Test
+
+on:
+  pull_request:
+    branches: '*'
+  push:
+    branches:
+      - main
+
+jobs:
+  test:
+    name: Run unit tests
+    runs-on: ubuntu-latest
+    steps:
+      - uses: actions/checkout@v4
+      - uses: actions/setup-go@v3
+        with:
+          go-version-file: go.mod
+          check-latest: true
+      - name: Run unit tests
+        run: go test -v -p 1 ./...

chaindata/chaindata_test.go

@@ -1,48 +0,0 @@
-package chaindata_test
-
-import (
-	"testing"
-
-	"github.com/ethereum/go-ethereum/core/rawdb"
-	"github.com/ethereum/go-ethereum/core/state"
-
-	"github.com/cerc-io/eth-testing/chaindata/util"
-)
-
-func testReadChainData(t *testing.T, name string) {
-	ChainDataPath, AncientDataPath := util.GetChainData(name)
-
-	kvdb, ldberr := rawdb.NewLevelDBDatabase(ChainDataPath, 1024, 256, "vdb-geth", true)
-	if ldberr != nil {
-		t.Fatal(ldberr)
-	}
-	edb, err := rawdb.NewDatabaseWithFreezer(kvdb, AncientDataPath, "vdb-geth", true)
-	if err != nil {
-		t.Fatal(err)
-	}
-	if err != nil {
-		t.Fatal(err)
-	}
-	defer edb.Close()
-
-	hash := rawdb.ReadHeadHeaderHash(edb)
-	height := rawdb.ReadHeaderNumber(edb, hash)
-	if height == nil {
-		t.Fatalf("unable to read header height for header hash %s", hash)
-	}
-	header := rawdb.ReadHeader(edb, hash, *height)
-	if header == nil {
-		t.Fatalf("unable to read canonical header at height %d", height)
-	}
-	sdb := state.NewDatabase(edb)
-	_, err = sdb.OpenTrie(header.Root)
-	if err != nil {
-		t.Fatal(err)
-	}
-}
-
-func TestReadChainData(t *testing.T) {
-	for _, name := range []string{"small", "small2"} {
-		t.Run(name, func(t *testing.T) { testReadChainData(t, name) })
-	}
-}

chaindata/small/chain.go

@@ -1,9 +0,0 @@
-package small
-
-import (
-	"github.com/cerc-io/eth-testing/chaindata/util"
-)
-
-var (
-	ChainDataPath, AncientDataPath = util.GetChainData("small")
-)

chaindata/small2/chain.go

@@ -1,9 +0,0 @@
-package small2
-
-import (
-	"github.com/cerc-io/eth-testing/chaindata/util"
-)
-
-var (
-	ChainDataPath, AncientDataPath = util.GetChainData("small2")
-)

chaindata/util/chaindata.go

@@ -1,55 +0,0 @@
-package util
-
-import (
-	"errors"
-	"os"
-	"path/filepath"
-	"runtime"
-)
-
-type ChainData struct {
-	Path, AncientPath string
-}
-
-// List of names of chaindata fixtures accessible via ChainDataPaths
-var FixtureChains = []string{
-	"small", "small2",
-}
-
-func IsFixture(chain string) bool {
-	has := false
-	for _, fixture := range FixtureChains {
-		if chain == fixture {
-			has = true
-			break
-		}
-	}
-	return has
-}
-
-// GetChainData returns the absolute paths to fixture chaindata for the given name.
-func GetChainData(chain string) (*ChainData, error) {
-	// fail if chain not in FixtureChains
-	if !IsFixture(chain) {
-		return nil, errors.New("no fixture named " + chain)
-	}
-
-	_, thisPath, _, ok := runtime.Caller(0)
-	if !ok {
-		return nil, errors.New("could not get function source path")
-	}
-
-	chainPath := filepath.Join(filepath.Dir(thisPath), "..", "data", chain)
-
-	chaindataPath, err := filepath.Abs(chainPath)
-	if err != nil {
-		return nil, errors.New("cannot resolve path " + chainPath)
-	}
-	ancientdataPath := filepath.Join(chaindataPath, "ancient")
-
-	if _, err := os.Stat(chaindataPath); err != nil {
-		return nil, errors.New("must populate chaindata at " + chaindataPath)
-	}
-
-	return &ChainData{chaindataPath, ancientdataPath}, nil
-}

chains/chaindata.go

@@ -0,0 +1,110 @@
+package chains
+
+import (
+	"errors"
+	"io"
+	"os"
+	"path/filepath"
+	"runtime"
+)
+
+type Paths struct {
+	ChainData, Ancient string
+}
+
+// List of names of chaindata fixtures accessible via ChainDataPaths
+var FixtureChains = []string{
+	"premerge1",
+	"premerge2",
+	"postmerge1",
+}
+
+func IsFixture(chain string) bool {
+	has := false
+	for _, fixture := range FixtureChains {
+		if chain == fixture {
+			has = true
+			break
+		}
+	}
+	return has
+}
+
+// GetFixture returns the paths to the fixture chaindata for the given name.  This copies the
+// fixture data and returns paths to temp directories, due to the fact that Go modules are installed
+// read-only and Leveldb/Pebble will attempt to create lock files when opening a DB.
+func GetFixture(chain string) (*Paths, error) {
+	if !IsFixture(chain) {
+		return nil, errors.New("no fixture named " + chain)
+	}
+
+	_, thisPath, _, ok := runtime.Caller(0)
+	if !ok {
+		return nil, errors.New("could not get function source path")
+	}
+
+	chaindataPath := filepath.Join(filepath.Dir(thisPath), "data", chain, "geth", "chaindata")
+	if _, err := os.Stat(chaindataPath); err != nil {
+		return nil, errors.New("cannot access chaindata at " + chaindataPath)
+	}
+
+	// Copy chaindata directory to a temporary directory
+	// Note that we assume the ancient path is a subdirectory
+	copyTo, err := os.MkdirTemp("", chain+"-chaindata-*")
+	if err != nil {
+		return nil, err
+	}
+	if err := copyDir(chaindataPath, copyTo); err != nil {
+		return nil, err
+	}
+
+	return &Paths{
+		copyTo,
+		filepath.Join(copyTo, "ancient"),
+	}, nil
+}
+
+func copyDir(src, dest string) error {
+	err := os.MkdirAll(dest, 0755)
+	if err != nil {
+		return err
+	}
+
+	entries, err := os.ReadDir(src)
+	if err != nil {
+		return err
+	}
+
+	for _, entry := range entries {
+		srcPath := filepath.Join(src, entry.Name())
+		destPath := filepath.Join(dest, entry.Name())
+
+		if entry.IsDir() {
+			if err := copyDir(srcPath, destPath); err != nil {
+				return err
+			}
+		} else {
+			if err := copyFile(srcPath, destPath); err != nil {
+				return err
+			}
+		}
+	}
+	return nil
+}
+
+func copyFile(src, dest string) error {
+	srcFile, err := os.Open(src)
+	if err != nil {
+		return err
+	}
+	defer srcFile.Close()
+
+	destFile, err := os.Create(dest)
+	if err != nil {
+		return err
+	}
+	defer destFile.Close()
+
+	_, err = io.Copy(destFile, srcFile)
+	return err
+}

chains/chaindata_test.go

@@ -0,0 +1,62 @@
+package chains_test
+
+import (
+	"testing"
+
+	"github.com/ethereum/go-ethereum/core/rawdb"
+	"github.com/ethereum/go-ethereum/core/state"
+
+	"github.com/cerc-io/eth-testing/chains"
+)
+
+func testReadChainData(t *testing.T, data *chains.Paths) {
+	edb, err := rawdb.Open(rawdb.OpenOptions{
+		Directory:         data.ChainData,
+		AncientsDirectory: data.Ancient,
+		Namespace:         t.Name(),
+		Cache:             1024,
+		Handles:           256,
+		ReadOnly:          true,
+	})
+	if err != nil {
+		t.Fatal(err)
+	}
+	defer edb.Close()
+
+	// Check that we can open and traverse a trie at the head block
+	hash := rawdb.ReadHeadHeaderHash(edb)
+	height := rawdb.ReadHeaderNumber(edb, hash)
+	if height == nil {
+		t.Fatalf("unable to read header height for header hash %s", hash)
+	}
+	header := rawdb.ReadHeader(edb, hash, *height)
+	if header == nil {
+		t.Fatalf("unable to read canonical header at height %d", *height)
+	}
+	sdb := state.NewDatabase(edb)
+	tree, err := sdb.OpenTrie(header.Root)
+	if err != nil {
+		t.Fatal(err)
+	}
+	it, err := tree.NodeIterator(nil)
+	if err != nil {
+		t.Fatal(err)
+	}
+	for it.Next(true) {
+	}
+	if err := it.Error(); err != nil {
+		t.Fatal(err)
+	}
+}
+
+func TestReadChainData(t *testing.T) {
+	for _, name := range chains.FixtureChains {
+		t.Run(name, func(t *testing.T) {
+			data, err := chains.GetFixture(name)
+			if err != nil {
+				t.Fatal(err)
+			}
+			testReadChainData(t, data)
+		})
+	}
+}

chains/data/.gitignore

@@ -4,3 +4,4 @@
 */LOG
 */MANIFEST-*
 */ancient/FLOCK
+*/ancient/chain/FLOCK

chains/data/postmerge1/eth_blockNumber.json

@@ -0,0 +1 @@
+{"jsonrpc":"2.0","id":1,"result":"0xaa"}

chains/data/postmerge1/eth_getBlockByNumber_0x0.json

@@ -0,0 +1 @@
+{"jsonrpc":"2.0","id":1,"result":{"baseFeePerGas":"0x3b9aca00","blobGasUsed":"0x0","difficulty":"0x1","excessBlobGas":"0x0","extraData":"0x","gasLimit":"0x17d7840","gasUsed":"0x0","hash":"0x66ef6002e201cfdb23bd3f615fcf41e59d8382055e5a836f8d4c2af0d484647c","logsBloom":"0x00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000","miner":"0x0000000000000000000000000000000000000000","mixHash":"0x0000000000000000000000000000000000000000000000000000000000000000","nonce":"0x0000000000001234","number":"0x0","parentBeaconBlockRoot":"0x0000000000000000000000000000000000000000000000000000000000000000","parentHash":"0x0000000000000000000000000000000000000000000000000000000000000000","receiptsRoot":"0x56e81f171bcc55a6ff8345e692c0f86e5b48e01b996cadc001622fb5e363b421","sha3Uncles":"0x1dcc4de8dec75d7aab85b567b6ccd41ad312451b948a7413f0a142fd40d49347","size":"0x243","stateRoot":"0x35be87b2aa5190fe0896fc287cdfeaa8f982dcf2e2786d6976276551f5549ec2","timestamp":"0x0","totalDifficulty":"0x1","transactions":[],"transactionsRoot":"0x56e81f171bcc55a6ff8345e692c0f86e5b48e01b996cadc001622fb5e363b421","uncles":[],"withdrawals":[],"withdrawalsRoot":"0x56e81f171bcc55a6ff8345e692c0f86e5b48e01b996cadc001622fb5e363b421"}}

chains/data/postmerge1/genesis.config.json

@@ -0,0 +1,18 @@
+{
+  "chainId": 1212,
+  "homesteadBlock": 0,
+  "eip150Block": 0,
+  "eip155Block": 0,
+  "eip158Block": 0,
+  "byzantiumBlock": 0,
+  "constantinopleBlock": 0,
+  "petersburgBlock": 0,
+  "istanbulBlock": 0,
+  "berlinBlock": 0,
+  "londonBlock": 0,
+  "mergeNetsplitBlock": 0,
+  "terminalTotalDifficulty": 0,
+  "terminalTotalDifficultyPassed": true,
+  "shanghaiTime": 0,
+  "cancunTime": 0
+}

chains/data/postmerge1/geth/chaindata/CURRENT

@@ -0,0 +1 @@
+MANIFEST-000012

chains/data/postmerge1/geth/chaindata/OPTIONS-000007

@@ -0,0 +1,108 @@
+[Version]
+  pebble_version=0.1
+
+[Options]
+  bytes_per_sync=524288
+  cache_size=536870912
+  cleaner=delete
+  compaction_debt_concurrency=1073741824
+  comparer=leveldb.BytewiseComparator
+  disable_wal=false
+  flush_delay_delete_range=0s
+  flush_delay_range_key=0s
+  flush_split_bytes=4194304
+  format_major_version=1
+  l0_compaction_concurrency=10
+  l0_compaction_file_threshold=500
+  l0_compaction_threshold=4
+  l0_stop_writes_threshold=12
+  lbase_max_bytes=67108864
+  max_concurrent_compactions=10
+  max_manifest_file_size=134217728
+  max_open_files=524288
+  mem_table_size=134217728
+  mem_table_stop_writes_threshold=2
+  min_deletion_rate=0
+  merger=pebble.concatenate
+  read_compaction_rate=16000
+  read_sampling_multiplier=-1
+  strict_wal_tail=true
+  table_cache_shards=10
+  table_property_collectors=[]
+  validate_on_ingest=false
+  wal_dir=
+  wal_bytes_per_sync=0
+  max_writer_concurrency=0
+  force_writer_parallelism=false
+  secondary_cache_size_bytes=0
+  create_on_shared=0
+
+[Level "0"]
+  block_restart_interval=16
+  block_size=4096
+  block_size_threshold=90
+  compression=Snappy
+  filter_policy=rocksdb.BuiltinBloomFilter
+  filter_type=table
+  index_block_size=4096
+  target_file_size=2097152
+
+[Level "1"]
+  block_restart_interval=16
+  block_size=4096
+  block_size_threshold=90
+  compression=Snappy
+  filter_policy=rocksdb.BuiltinBloomFilter
+  filter_type=table
+  index_block_size=4096
+  target_file_size=2097152
+
+[Level "2"]
+  block_restart_interval=16
+  block_size=4096
+  block_size_threshold=90
+  compression=Snappy
+  filter_policy=rocksdb.BuiltinBloomFilter
+  filter_type=table
+  index_block_size=4096
+  target_file_size=2097152
+
+[Level "3"]
+  block_restart_interval=16
+  block_size=4096
+  block_size_threshold=90
+  compression=Snappy
+  filter_policy=rocksdb.BuiltinBloomFilter
+  filter_type=table
+  index_block_size=4096
+  target_file_size=2097152
+
+[Level "4"]
+  block_restart_interval=16
+  block_size=4096
+  block_size_threshold=90
+  compression=Snappy
+  filter_policy=rocksdb.BuiltinBloomFilter
+  filter_type=table
+  index_block_size=4096
+  target_file_size=2097152
+
+[Level "5"]
+  block_restart_interval=16
+  block_size=4096
+  block_size_threshold=90
+  compression=Snappy
+  filter_policy=rocksdb.BuiltinBloomFilter
+  filter_type=table
+  index_block_size=4096
+  target_file_size=2097152
+
+[Level "6"]
+  block_restart_interval=16
+  block_size=4096
+  block_size_threshold=90
+  compression=Snappy
+  filter_policy=rocksdb.BuiltinBloomFilter
+  filter_type=table
+  index_block_size=4096
+  target_file_size=2097152

chains/data/postmerge1/geth/chaindata/ancient/chain/diffs.0000.rdat

@@ -0,0 +1 @@
+

chains/data/premerge1/geth/chaindata/CURRENT

@@ -0,0 +1 @@
+MANIFEST-000005

chains/data/premerge2/geth/chaindata/CURRENT

@@ -0,0 +1 @@
+MANIFEST-000004

chains/data/premerge2/geth/chaindata/ancient/chain/bodies.meta

@@ -0,0 +1 @@
+�
�

chains/data/premerge2/geth/chaindata/ancient/chain/diffs.meta

@@ -0,0 +1 @@
+�
�

chains/data/premerge2/geth/chaindata/ancient/chain/hashes.meta

@@ -0,0 +1 @@
+�
�

chains/data/premerge2/geth/chaindata/ancient/chain/headers.meta

@@ -0,0 +1 @@
+�
�

chains/data/premerge2/geth/chaindata/ancient/chain/receipts.meta

@@ -0,0 +1 @@
+�
�

chains/mainnet/chain.go

@@ -13,6 +13,7 @@ import (
 	"github.com/ethereum/go-ethereum/core/rawdb"
 	"github.com/ethereum/go-ethereum/core/types"
 	"github.com/ethereum/go-ethereum/rlp"
+	"github.com/ethereum/go-ethereum/triedb"
 )
 
 const LatestBlock uint = 3
@@ -25,7 +26,7 @@ func GetBlocks() []*types.Block {
 		return blocks
 	}
 	db := rawdb.NewMemoryDatabase()
-	genesisBlock := core.DefaultGenesisBlock().MustCommit(db)
+	genesisBlock := core.DefaultGenesisBlock().MustCommit(db, triedb.NewDatabase(db, nil))
 	genRLP, err := rlp.EncodeToBytes(genesisBlock)
 	if err != nil {
 		log.Fatal(err)

chains/mainnet/chain_test.go

@@ -7,13 +7,14 @@ import (
 	"github.com/ethereum/go-ethereum/core"
 	"github.com/ethereum/go-ethereum/core/rawdb"
 	"github.com/ethereum/go-ethereum/core/vm"
+	"github.com/ethereum/go-ethereum/triedb"
 
-	"github.com/cerc-io/eth-testing/chaindata/mainnet"
+	"github.com/cerc-io/eth-testing/chains/mainnet"
 )
 
 func TestLoadChain(t *testing.T) {
 	db := rawdb.NewMemoryDatabase()
-	core.DefaultGenesisBlock().MustCommit(db)
+	core.DefaultGenesisBlock().MustCommit(db, triedb.NewDatabase(db, nil))
 	blocks := mainnet.GetBlocks()
 	chain, _ := core.NewBlockChain(db, nil, nil, nil, ethash.NewFaker(), vm.Config{}, nil, nil)
 	_, err := chain.InsertChain(blocks[1:])

chains/postmerge1/chain.go

@@ -0,0 +1,18 @@
+// This fixture is the first using Pebble instead of Leveldb.  It was generated by a fixturenet
+// running geth 1.14.5 using a "merged from Genesis" configuration, as opposed to the previous
+// fixtures for which the Merge occurred at block 1.
+package postmerge1
+
+import (
+	"github.com/cerc-io/eth-testing/chains"
+)
+
+var (
+	ChainData, err = chains.GetFixture("postmerge1")
+)
+
+func init() {
+	if err != nil {
+		panic(err)
+	}
+}

chains/premerge1/chain.go

@@ -0,0 +1,15 @@
+package premerge1
+
+import (
+	"github.com/cerc-io/eth-testing/chains"
+)
+
+var (
+	ChainData, err = chains.GetFixture("premerge1")
+)
+
+func init() {
+	if err != nil {
+		panic(err)
+	}
+}

chains/premerge2/chain.go

@@ -0,0 +1,26 @@
+package premerge2
+
+import (
+	"github.com/cerc-io/eth-testing/chains"
+	"github.com/cerc-io/eth-testing/utils"
+)
+
+var (
+	ChainData, err = chains.GetFixture("premerge2")
+
+	// keybytes-encoded leaf keys of all state nodes
+	Block1_StateNodeLeafKeys [][]byte
+)
+
+func init() {
+	if err != nil {
+		panic(err)
+	}
+
+	for _, path := range Block1_StateNodePaths {
+		if len(path) > 0 && path[len(path)-1] == 16 {
+			hash := utils.HexToKeyBytes(path)
+			Block1_StateNodeLeafKeys = append(Block1_StateNodeLeafKeys, hash)
+		}
+	}
+}

chains/premerge2/paths.go

@@ -0,0 +1,629 @@
+package premerge2
+
+var Block1_StateNodePaths = [][]byte{
+	{},
+	{0},
+	{0, 0},
+	{0, 0, 5, 14, 5, 4, 15, 1, 8, 6, 7, 15, 13, 0, 3, 0, 15, 9, 0, 6, 7, 3, 11, 8, 11, 6, 2, 5, 10, 12, 8, 15, 0, 6, 5, 6, 14, 4, 4, 10, 8, 8, 12, 15, 12, 0, 11, 3, 10, 15, 3, 14, 3, 15, 3, 12, 3, 13, 4, 8, 6, 9, 6, 0, 16},
+	{0, 2},
+	{0, 2, 1},
+	{0, 2, 1, 15, 14, 3, 3, 6, 0, 11, 10, 8, 12, 0, 2, 14, 1, 9, 4, 15, 8, 14, 7, 15, 10, 12, 13, 14, 11, 9, 0, 8, 8, 11, 3, 12, 15, 4, 3, 3, 11, 6, 4, 9, 8, 11, 13, 6, 9, 0, 0, 13, 5, 0, 13, 15, 0, 2, 6, 6, 15, 15, 14, 3, 16},
+	{0, 2, 8},
+	{0, 2, 8, 14, 6, 2, 12, 11, 4, 6, 6, 5, 15, 12, 14, 1, 9, 10, 14, 1, 15, 12, 1, 3, 10, 6, 0, 4, 6, 1, 8, 13, 7, 13, 2, 0, 11, 14, 0, 3, 7, 15, 12, 6, 8, 11, 6, 3, 11, 14, 11, 3, 3, 8, 4, 13, 15, 10, 5, 10, 11, 7, 7, 6, 16},
+	{0, 2, 12},
+	{0, 2, 12, 11, 5, 1, 7, 6, 7, 3, 5, 4, 14, 1, 15, 14, 6, 11, 13, 4, 10, 4, 9, 11, 6, 4, 11, 3, 7, 2, 1, 15, 15, 13, 13, 11, 12, 9, 5, 15, 14, 13, 1, 11, 8, 14, 10, 13, 0, 0, 5, 12, 3, 9, 11, 11, 12, 0, 7, 11, 12, 4, 13, 8, 16},
+	{0, 3},
+	{0, 3, 0, 8, 9, 14, 0, 1, 11, 14, 9, 14, 11, 2, 10, 15, 5, 15, 15, 5, 15, 10, 1, 12, 5, 9, 8, 3, 12, 6, 12, 6, 15, 11, 7, 8, 13, 13, 7, 3, 4, 6, 5, 8, 13, 1, 15, 8, 15, 1, 1, 13, 4, 15, 8, 13, 2, 7, 10, 2, 3, 15, 13, 5, 16},
+	{0, 4},
+	{0, 4, 2, 4, 2, 9, 5, 4, 10, 5, 12, 11, 9, 7, 4, 8, 13, 3, 15, 6, 6, 11, 12, 13, 4, 5, 8, 3, 15, 13, 3, 8, 3, 0, 2, 8, 7, 10, 10, 5, 8, 5, 11, 14, 11, 13, 9, 13, 13, 0, 6, 15, 10, 6, 6, 2, 5, 9, 7, 6, 11, 14, 4, 9, 16},
+	{0, 6},
+	{0, 6, 3},
+	{0, 6, 3, 3, 9, 9, 3, 5, 1, 1, 1, 11, 4, 10, 5, 6, 3, 10, 2, 8, 10, 9, 1, 12, 2, 5, 3, 11, 6, 3, 8, 10, 15, 8, 6, 8, 11, 3, 10, 15, 7, 12, 3, 7, 2, 12, 10, 11, 4, 9, 7, 12, 10, 12, 4, 15, 6, 12, 11, 2, 12, 0, 10, 10, 16},
+	{0, 6, 13},
+	{0, 6, 13, 9, 14, 4, 11, 9, 10, 11, 12, 0, 11, 8, 9, 7, 8, 1, 2, 0, 13, 4, 5, 1, 14, 11, 4, 12, 12, 10, 4, 15, 7, 2, 15, 15, 1, 13, 9, 7, 3, 2, 1, 7, 1, 3, 14, 0, 14, 15, 3, 7, 9, 10, 1, 5, 7, 11, 8, 15, 2, 11, 6, 0, 16},
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+	{2, 9, 7, 13, 3, 10, 12, 15, 15, 11, 9, 4, 2, 12, 7, 14, 6, 15, 3, 15, 11, 0, 2, 9, 11, 7, 3, 5, 3, 3, 8, 10, 12, 3, 4, 14, 3, 9, 12, 4, 12, 14, 9, 14, 8, 5, 2, 15, 6, 4, 13, 5, 0, 15, 11, 5, 7, 12, 12, 9, 7, 14, 12, 0, 16},
+	{2, 11},
+	{2, 11, 7},
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+	{2, 11, 13},
+	{2, 11, 13, 9, 10, 14, 11, 13, 14, 4, 4, 7, 9, 4, 14, 6, 13, 11, 3, 1, 7, 11, 14, 6, 13, 8, 3, 12, 5, 10, 2, 6, 6, 14, 1, 10, 9, 6, 14, 1, 8, 14, 0, 4, 11, 12, 7, 0, 7, 3, 9, 9, 8, 11, 11, 7, 7, 9, 12, 15, 14, 2, 15, 14, 16},
+	{2, 13},
+	{2, 13, 1},
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+	{2, 13, 15, 3, 7, 8, 14, 8, 14, 12, 14, 14, 7, 8, 5, 14, 1, 13, 6, 5, 2, 0, 0, 13, 7, 3, 8, 1, 7, 8, 4, 3, 2, 12, 11, 12, 9, 10, 13, 5, 5, 12, 4, 9, 14, 10, 5, 10, 15, 9, 0, 5, 6, 2, 9, 13, 3, 4, 8, 4, 1, 6, 12, 2, 16},
+	{2, 15},
+	{2, 15, 1, 11, 6, 10, 8, 15, 2, 2, 8, 6, 7, 5, 10, 1, 7, 1, 1, 2, 6, 13, 1, 7, 8, 1, 10, 14, 11, 5, 2, 7, 5, 6, 13, 6, 15, 14, 5, 6, 8, 5, 10, 15, 8, 12, 7, 14, 12, 2, 3, 13, 12, 8, 1, 8, 7, 13, 7, 8, 3, 13, 1, 15, 16},
+	{3},
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+	{3, 0, 0},
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+	{3, 0, 1},
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+	{3, 2},
+	{3, 2, 3},
+	{3, 2, 3, 14, 3, 9, 3, 7, 7, 4, 14, 14, 14, 12, 8, 14, 9, 13, 5, 9, 6, 2, 5, 8, 2, 6, 7, 13, 0, 1, 3, 3, 10, 5, 11, 2, 15, 0, 1, 12, 5, 6, 7, 8, 2, 2, 10, 4, 15, 15, 0, 1, 8, 4, 8, 8, 6, 7, 1, 14, 12, 11, 6, 14, 16},
+	{3, 2, 15},
+	{3, 2, 15, 12, 4, 15, 13, 3, 15, 12, 8, 3, 6, 12, 6, 13, 11, 0, 0, 5, 8, 15, 13, 2, 0, 15, 15, 7, 14, 8, 12, 10, 6, 1, 1, 8, 8, 5, 14, 11, 7, 2, 1, 5, 11, 3, 9, 15, 9, 7, 13, 2, 11, 4, 14, 7, 9, 7, 13, 12, 10, 2, 5, 4, 16},
+	{3, 3},
+	{3, 3, 1, 13, 9, 9, 12, 6, 11, 14, 12, 3, 10, 14, 12, 11, 14, 12, 9, 6, 2, 11, 14, 7, 4, 11, 2, 5, 4, 4, 8, 5, 1, 1, 9, 8, 3, 11, 0, 1, 3, 12, 0, 8, 7, 6, 15, 6, 15, 4, 14, 6, 0, 2, 9, 7, 7, 3, 13, 15, 10, 13, 6, 1, 16},
+	{3, 4},
+	{3, 4, 2},
+	{3, 4, 2, 7, 5, 12, 3, 1, 3, 12, 5, 2, 8, 6, 3, 1, 7, 7, 9, 4, 15, 0, 1, 5, 4, 15, 8, 14, 4, 15, 15, 10, 12, 15, 12, 8, 0, 13, 9, 13, 0, 12, 5, 11, 1, 8, 4, 13, 2, 4, 8, 2, 14, 7, 15, 9, 2, 1, 1, 15, 15, 12, 3, 14, 16},
+	{3, 4, 4},
+	{3, 4, 4, 4, 7, 10, 15, 11, 6, 8, 6, 11, 4, 0, 7, 4, 13, 3, 11, 9, 3, 11, 9, 9, 0, 7, 6, 10, 6, 0, 11, 5, 15, 5, 10, 9, 0, 2, 15, 10, 3, 2, 13, 15, 1, 8, 13, 8, 5, 15, 12, 1, 13, 1, 3, 10, 13, 10, 8, 12, 13, 11, 7, 1, 16},
+	{3, 4, 5},
+	{3, 4, 5, 6, 2, 14, 3, 10, 12, 14, 6, 0, 8, 11, 13, 13, 7, 5, 10, 1, 0, 14, 11, 1, 5, 3, 12, 11, 12, 2, 12, 0, 0, 14, 6, 9, 11, 9, 3, 5, 13, 4, 2, 15, 5, 7, 12, 1, 9, 3, 12, 3, 8, 14, 15, 6, 13, 6, 7, 4, 10, 11, 10, 12, 16},
+	{3, 6},
+	{3, 6, 11, 3, 0, 9, 6, 12, 9, 1, 2, 10, 13, 12, 7, 6, 7, 4, 12, 10, 9, 2, 11, 6, 8, 13, 13, 11, 3, 11, 0, 4, 9, 4, 14, 9, 11, 9, 8, 8, 15, 11, 14, 15, 1, 11, 14, 13, 7, 9, 3, 8, 14, 8, 15, 10, 12, 4, 12, 2, 13, 15, 7, 10, 16},
+	{3, 8},
+	{3, 8, 4, 0, 1, 11, 4, 14, 9, 7, 14, 6, 7, 12, 4, 10, 6, 13, 8, 0, 9, 5, 9, 7, 9, 11, 4, 12, 1, 14, 12, 11, 9, 14, 10, 15, 5, 7, 2, 6, 15, 12, 8, 10, 1, 2, 7, 9, 8, 9, 7, 5, 10, 7, 6, 5, 3, 14, 9, 8, 0, 8, 7, 2, 16},
+	{3, 9},
+	{3, 9, 12, 8, 11, 11, 9, 2, 2, 2, 7, 11, 10, 9, 1, 10, 2, 6, 5, 7, 15, 2, 9, 12, 5, 4, 9, 8, 15, 5, 12, 5, 11, 0, 7, 10, 14, 3, 6, 3, 6, 9, 12, 8, 13, 9, 2, 8, 3, 4, 4, 4, 15, 4, 7, 7, 9, 3, 0, 12, 7, 9, 11, 14, 16},
+	{3, 10},
+	{3, 10, 2},
+	{3, 10, 2, 12, 7, 13, 5, 1, 6, 4, 15, 6, 10, 1, 13, 8, 12, 11, 12, 5, 13, 9, 14, 2, 2, 8, 2, 5, 3, 14, 10, 14, 4, 10, 6, 6, 13, 8, 11, 0, 13, 5, 5, 0, 13, 0, 7, 12, 5, 3, 14, 12, 8, 4, 13, 4, 7, 14, 13, 1, 7, 1, 7, 2, 16},
+	{3, 10, 8},
+	{3, 10, 8, 2, 14, 1, 14, 5, 8, 10, 14, 6, 15, 1, 4, 15, 11, 11, 14, 11, 3, 5, 11, 6, 13, 8, 3, 3, 3, 3, 0, 12, 4, 15, 11, 5, 11, 3, 12, 11, 7, 7, 0, 3, 9, 1, 15, 5, 12, 12, 3, 4, 0, 9, 4, 9, 12, 6, 2, 5, 4, 14, 8, 3, 16},
+	{3, 10, 12},
+	{3, 10, 12, 3, 15, 14, 8, 4, 12, 6, 6, 3, 6, 0, 7, 14, 11, 11, 14, 0, 1, 12, 6, 11, 0, 0, 8, 13, 0, 2, 11, 9, 2, 14, 13, 4, 15, 14, 10, 11, 2, 6, 14, 13, 8, 1, 7, 1, 0, 1, 4, 8, 5, 3, 12, 0, 15, 9, 4, 1, 9, 12, 12, 8, 16},
+	{3, 11},
+	{3, 11, 10, 5, 10, 12, 7, 0, 10, 1, 8, 3, 9, 9, 8, 1, 7, 12, 12, 11, 14, 8, 11, 13, 4, 13, 9, 12, 7, 8, 1, 1, 5, 1, 3, 6, 12, 12, 6, 1, 6, 9, 9, 13, 5, 1, 10, 15, 8, 7, 6, 0, 8, 10, 15, 5, 2, 0, 2, 2, 6, 12, 3, 2, 16},
+	{3, 12},
+	{3, 12, 9, 11, 13, 2, 6, 8, 10, 14, 13, 12, 8, 13, 11, 11, 3, 6, 13, 11, 0, 10, 4, 6, 6, 4, 14, 1, 7, 11, 8, 3, 10, 11, 12, 15, 13, 8, 7, 14, 4, 0, 4, 9, 0, 1, 14, 14, 14, 7, 11, 13, 5, 7, 0, 4, 10, 9, 5, 0, 6, 4, 14, 14, 16},
+	{3, 13},
+	{3, 13, 10, 0, 6, 10, 6, 7, 14, 7, 15, 14, 14, 9, 12, 9, 3, 8, 1, 5, 5, 12, 5, 0, 14, 6, 12, 14, 12, 9, 13, 10, 7, 0, 11, 6, 6, 6, 7, 9, 14, 7, 7, 7, 13, 10, 6, 15, 0, 2, 1, 4, 9, 12, 6, 6, 7, 4, 12, 13, 9, 1, 0, 5, 16},
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+	{3, 14, 4},
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+	{3, 14, 14},
+	{3, 14, 14, 10},
+	{3, 14, 14, 10, 7, 14, 8, 14, 2, 12, 10, 3, 14, 3, 8, 5, 15, 14, 3, 9, 13, 6, 0, 5, 0, 8, 6, 11, 0, 4, 9, 11, 9, 9, 13, 15, 1, 10, 13, 10, 11, 8, 5, 10, 1, 12, 6, 5, 6, 9, 8, 7, 3, 4, 2, 4, 15, 4, 8, 8, 12, 5, 10, 13, 16},
+	{3, 14, 14, 15},
+	{3, 14, 14, 15, 5, 10, 1, 14, 12, 6, 5, 14, 8, 10, 14, 1, 12, 8, 7, 11, 14, 5, 14, 13, 12, 4, 5, 0, 9, 9, 10, 12, 9, 14, 7, 7, 8, 3, 13, 4, 11, 8, 0, 7, 5, 8, 1, 0, 11, 10, 6, 8, 8, 14, 11, 4, 7, 9, 14, 7, 10, 7, 3, 0, 16},
+	{4},
+	{4, 0},
+	{4, 0, 6},
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+	{4, 2},
+	{4, 2, 1},
+	{4, 2, 1, 13, 15, 1, 15, 10, 2, 5, 9, 2, 2, 1, 13, 0, 2, 10, 10, 4, 9, 5, 6, 14, 11, 0, 13, 3, 5, 10, 12, 14, 3, 1, 8, 12, 10, 2, 4, 12, 0, 10, 3, 3, 10, 6, 4, 12, 1, 10, 15, 9, 6, 12, 15, 6, 7, 12, 15, 2, 4, 5, 11, 6, 16},
+	{4, 2, 11},
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+	{4, 3},
+	{4, 3, 9, 2, 6, 2, 9, 6, 10, 10, 3, 12, 8, 14, 15, 10, 11, 7, 14, 2, 15, 15, 9, 11, 12, 6, 4, 4, 2, 3, 6, 1, 9, 3, 15, 10, 6, 5, 7, 7, 2, 6, 1, 2, 7, 5, 5, 9, 11, 10, 0, 6, 6, 8, 7, 3, 4, 13, 1, 11, 2, 7, 9, 0, 16},
+	{4, 5},
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+	{4, 6},
+	{4, 6, 15, 3, 15, 8, 12, 12, 4, 8, 6, 14, 8, 0, 4, 7, 5, 6, 7, 2, 1, 2, 12, 0, 15, 0, 1, 1, 12, 0, 6, 5, 4, 6, 6, 11, 12, 11, 7, 6, 6, 4, 7, 13, 12, 15, 8, 7, 13, 4, 2, 7, 5, 6, 13, 7, 15, 11, 11, 15, 12, 11, 4, 11, 16},
+	{4, 7},
+	{4, 7, 1, 7, 0, 3, 12, 5, 14, 13, 10, 8, 6, 4, 4, 10, 6, 4, 12, 14, 12, 1, 5, 2, 12, 5, 8, 15, 5, 10, 10, 12, 14, 12, 9, 3, 13, 7, 2, 15, 11, 0, 11, 15, 10, 7, 0, 5, 15, 0, 4, 7, 3, 15, 9, 0, 4, 3, 10, 8, 3, 5, 7, 12, 16},
+	{4, 8},
+	{4, 8, 9, 15, 14, 6, 8, 6, 5, 4, 7, 15, 4, 10, 9, 9, 9, 13, 2, 8, 1, 8, 10, 14, 13, 11, 12, 1, 8, 11, 7, 3, 5, 14, 13, 2, 12, 13, 5, 0, 2, 12, 3, 0, 1, 2, 4, 10, 0, 11, 8, 10, 15, 8, 6, 1, 11, 2, 2, 5, 1, 15, 9, 1, 16},
+	{4, 11},
+	{4, 11, 6},
+	{4, 11, 6, 0, 2, 9, 7, 7, 3, 14, 7, 1, 7, 5, 15, 3, 2, 3, 9, 8, 4, 2, 2, 15, 13, 1, 8, 12, 6, 12, 11, 0, 9, 5, 14, 5, 2, 7, 8, 10, 12, 7, 11, 14, 4, 1, 12, 10, 4, 10, 5, 10, 6, 12, 0, 10, 6, 13, 13, 10, 1, 10, 7, 1, 16},
+	{4, 11, 9},
+	{4, 11, 9, 4, 5, 14, 15, 2, 14, 8, 12, 7, 8, 4, 8, 2, 11, 11, 15, 15, 12, 11, 13, 15, 4, 9, 2, 1, 12, 13, 3, 7, 5, 0, 6, 5, 14, 3, 11, 5, 0, 2, 4, 10, 3, 11, 14, 13, 4, 6, 9, 10, 9, 15, 3, 4, 11, 2, 14, 7, 7, 3, 14, 7, 16},
+	{4, 11, 12},
+	{4, 11, 12, 14, 4, 14, 0, 2, 9, 9, 14, 5, 3, 6, 2, 5, 7, 8, 10, 9, 5, 10, 2, 7, 11, 12, 11, 7, 7, 9, 11, 9, 10, 8, 9, 2, 3, 2, 2, 9, 6, 3, 8, 8, 13, 11, 8, 0, 3, 9, 0, 9, 6, 9, 6, 15, 9, 0, 6, 3, 5, 5, 8, 1, 16},
+	{4, 14},
+	{4, 14, 0, 9, 5, 5, 0, 13, 10, 9, 12, 10, 5, 5, 11, 10, 3, 7, 5, 14, 5, 6, 12, 5, 2, 5, 11, 4, 9, 11, 2, 7, 8, 1, 4, 13, 2, 0, 1, 6, 5, 5, 2, 8, 14, 4, 14, 7, 15, 3, 0, 9, 8, 7, 8, 2, 2, 1, 11, 2, 8, 7, 8, 11, 16},
+	{5},
+	{5, 0},
+	{5, 0, 3},
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+	{5, 0, 9},
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+	{5, 0, 15},
+	{5, 0, 15, 15, 4, 13, 4, 7, 10, 4, 6, 12, 9, 12, 13, 3, 5, 11, 0, 2, 9, 14, 9, 5, 14, 15, 9, 12, 9, 5, 7, 14, 5, 7, 13, 10, 9, 8, 7, 4, 9, 1, 15, 6, 14, 7, 11, 14, 2, 4, 2, 14, 7, 2, 11, 12, 5, 13, 3, 14, 8, 0, 8, 6, 16},
+	{5, 1},
+	{5, 1, 14},
+	{5, 1, 14, 14, 1, 14, 0, 8, 13, 11, 0, 1, 4, 15, 12, 6, 9, 9, 5, 8, 7, 6, 6, 7, 11, 7, 2, 5, 6, 14, 7, 11, 9, 0, 9, 0, 14, 1, 7, 5, 5, 12, 5, 8, 7, 4, 2, 0, 12, 15, 15, 5, 15, 11, 14, 0, 14, 2, 0, 1, 9, 4, 15, 12, 16},
+	{5, 1, 15},
+	{5, 1, 15, 0, 14, 2, 1, 13, 8, 12, 8, 10, 14, 14, 15, 6, 0, 13, 10, 6, 10, 14, 5, 8, 13, 1, 0, 13, 12, 15, 1, 15, 4, 2, 14, 7, 13, 9, 10, 0, 12, 11, 8, 14, 14, 2, 11, 4, 10, 9, 7, 12, 10, 10, 5, 6, 6, 10, 1, 5, 2, 11, 6, 1, 16},
+	{5, 2},
+	{5, 2, 8},
+	{5, 2, 8, 11, 5, 5, 5, 6, 4, 14, 8, 5, 1, 8, 5, 4, 8, 14, 4, 2, 11, 5, 3, 4, 13, 10, 3, 10, 5, 2, 6, 1, 7, 9, 11, 8, 2, 0, 15, 2, 6, 4, 14, 14, 7, 12, 6, 9, 2, 9, 13, 0, 0, 11, 0, 11, 6, 10, 3, 1, 12, 15, 12, 2, 16},
+	{5, 2, 10},
+	{5, 2, 10, 6, 15, 11, 5, 6, 14, 1, 3, 13, 4, 5, 15, 14, 1, 6, 4, 5, 6, 14, 8, 2, 8, 12, 8, 12, 3, 7, 5, 11, 0, 13, 14, 12, 10, 10, 14, 2, 13, 6, 4, 4, 11, 7, 6, 15, 8, 10, 9, 11, 0, 10, 7, 4, 1, 13, 14, 1, 14, 13, 8, 9, 16},
+	{5, 3},
+	{5, 3, 8, 0, 12, 7, 11, 7, 10, 14, 8, 1, 10, 5, 8, 14, 11, 9, 8, 13, 9, 12, 7, 8, 13, 14, 4, 10, 1, 15, 13, 7, 15, 13, 9, 5, 3, 5, 15, 12, 9, 5, 3, 14, 13, 2, 11, 14, 6, 0, 2, 13, 10, 10, 10, 4, 1, 7, 6, 7, 3, 1, 2, 10, 16},
+	{5, 4},
+	{5, 4, 6},
+	{5, 4, 6, 6, 9, 0, 12, 15, 9, 5, 1, 0, 11, 4, 11, 7, 7, 3, 2, 13, 2, 12, 9, 9, 12, 7, 12, 2, 13, 9, 9, 4, 15, 6, 6, 6, 8, 11, 7, 13, 7, 15, 7, 5, 10, 1, 13, 2, 8, 12, 0, 14, 11, 10, 5, 3, 15, 7, 8, 4, 15, 14, 1, 14, 16},
+	{5, 4, 12},
+	{5, 4, 12, 9, 0, 1, 15, 4, 1, 5, 14, 12, 15, 8, 9, 12, 4, 6, 1, 5, 9, 11, 3, 5, 6, 10, 4, 10, 9, 5, 14, 9, 14, 5, 6, 6, 6, 11, 12, 8, 8, 15, 8, 11, 15, 4, 11, 15, 5, 13, 9, 12, 1, 5, 10, 10, 12, 8, 7, 0, 9, 14, 0, 10, 16},
+	{5, 6},
+	{5, 6, 13, 4, 2, 3, 11, 10, 5, 9, 13, 15, 7, 0, 7, 5, 11, 2, 7, 14, 5, 13, 5, 7, 3, 10, 13, 8, 3, 9, 9, 10, 12, 6, 10, 11, 8, 10, 7, 5, 4, 1, 14, 15, 11, 9, 10, 1, 14, 6, 4, 6, 10, 6, 7, 2, 4, 4, 3, 0, 1, 15, 14, 13, 16},
+	{5, 8},
+	{5, 8, 3},
+	{5, 8, 3, 9, 2, 6, 2, 4, 4, 2, 11, 13, 8, 7, 11, 13, 12, 14, 9, 11, 12, 13, 8, 14, 9, 7, 6, 2, 8, 10, 8, 4, 15, 13, 0, 7, 10, 10, 15, 5, 5, 11, 10, 8, 12, 4, 12, 2, 9, 14, 1, 10, 14, 9, 1, 12, 11, 1, 7, 12, 11, 2, 2, 2, 16},
+	{5, 8, 11},
+	{5, 8, 11, 11, 8, 13, 7, 11, 10, 2, 15, 5, 2, 2, 2, 8, 8, 5, 3, 2, 3, 8, 11, 2, 6, 11, 15, 14, 3, 14, 11, 9, 6, 0, 7, 12, 14, 10, 9, 4, 4, 14, 7, 0, 2, 0, 4, 5, 8, 9, 8, 1, 6, 1, 8, 14, 15, 14, 8, 2, 8, 0, 10, 1, 16},
+	{5, 10},
+	{5, 10, 4, 11, 14, 2, 3, 2, 2, 14, 11, 5, 0, 12, 15, 14, 10, 1, 0, 5, 1, 9, 7, 8, 12, 2, 8, 4, 5, 2, 6, 12, 13, 5, 10, 6, 14, 2, 8, 12, 10, 12, 10, 6, 8, 1, 8, 5, 5, 7, 3, 6, 10, 5, 13, 3, 12, 3, 1, 13, 9, 11, 10, 13, 16},
+	{5, 11},
+	{5, 11, 7, 0, 14, 8, 0, 5, 3, 8, 10, 12, 13, 10, 11, 13, 6, 1, 3, 7, 3, 5, 3, 11, 0, 15, 9, 13, 8, 13, 1, 4, 9, 15, 4, 13, 11, 10, 9, 1, 14, 8, 11, 14, 2, 14, 7, 9, 4, 6, 14, 4, 0, 9, 11, 15, 13, 11, 14, 6, 8, 5, 11, 9, 16},
+	{5, 12},
+	{5, 12, 3, 3, 8, 2, 0, 12, 3, 13, 7, 6, 15, 4, 13, 14, 8, 13, 1, 14, 0, 14, 12, 10, 2, 4, 12, 7, 13, 2, 15, 11, 14, 15, 7, 6, 1, 8, 9, 11, 6, 10, 4, 3, 10, 7, 10, 15, 14, 10, 4, 13, 15, 13, 10, 5, 11, 5, 0, 14, 13, 11, 9, 6, 16},
+	{5, 13},
+	{5, 13, 9, 1, 1, 4, 14, 8, 12, 0, 11, 1, 14, 8, 5, 8, 11, 15, 7, 3, 2, 2, 14, 14, 12, 1, 2, 2, 14, 3, 15, 12, 4, 11, 0, 9, 8, 8, 15, 1, 4, 6, 6, 2, 0, 13, 14, 15, 0, 15, 13, 14, 9, 13, 11, 13, 3, 2, 2, 15, 3, 10, 0, 3, 16},
+	{5, 15},
+	{5, 15, 9, 14, 4, 14, 14, 1, 7, 2, 4, 6, 9, 12, 15, 13, 10, 3, 8, 10, 7, 4, 5, 7, 14, 15, 1, 9, 2, 11, 6, 14, 15, 11, 1, 6, 9, 15, 14, 13, 11, 7, 3, 9, 4, 3, 14, 4, 12, 9, 8, 7, 13, 4, 14, 11, 9, 1, 0, 1, 8, 9, 13, 4, 16},
+	{6},
+	{6, 0},
+	{6, 0, 4, 2, 5, 0, 1, 0, 5, 4, 8, 3, 1, 9, 2, 0, 11, 12, 9, 13, 5, 0, 10, 3, 3, 13, 6, 11, 14, 1, 11, 5, 10, 8, 2, 1, 4, 12, 3, 1, 11, 10, 9, 4, 1, 6, 9, 5, 8, 15, 8, 9, 9, 6, 12, 13, 11, 6, 13, 13, 11, 0, 5, 12, 16},
+	{6, 2},
+	{6, 2, 3},
+	{6, 2, 3, 15, 3, 0, 0, 11, 15, 6, 0, 0, 11, 7, 11, 0, 5, 0, 11, 9, 11, 7, 0, 15, 10, 5, 7, 1, 4, 0, 12, 5, 9, 10, 5, 15, 0, 11, 9, 15, 12, 5, 11, 9, 13, 0, 11, 13, 10, 11, 1, 1, 13, 1, 0, 8, 10, 7, 1, 15, 12, 1, 10, 3, 16},
+	{6, 2, 9},
+	{6, 2, 9, 8, 13, 14, 11, 7, 12, 7, 3, 6, 13, 12, 5, 0, 11, 4, 5, 9, 0, 12, 10, 0, 6, 6, 11, 7, 2, 1, 7, 3, 13, 4, 14, 2, 12, 3, 15, 7, 5, 11, 11, 1, 0, 9, 3, 9, 6, 15, 3, 2, 14, 10, 10, 15, 9, 10, 13, 1, 1, 11, 12, 8, 16},
+	{6, 4},
+	{6, 4, 0},
+	{6, 4, 0, 0},
+	{6, 4, 0, 0, 15, 12, 3, 2, 12, 5, 11, 2, 13, 3, 5, 8, 0, 12, 0, 14, 1, 9, 8, 8, 9, 4, 8, 7, 12, 15, 9, 14, 0, 5, 7, 13, 6, 11, 8, 2, 10, 9, 9, 11, 15, 3, 0, 14, 11, 6, 14, 5, 3, 9, 11, 7, 12, 13, 14, 5, 2, 6, 5, 5, 16},
+	{6, 4, 0, 5},
+	{6, 4, 0, 5, 2, 8, 14, 5, 12, 15, 1, 4, 3, 15, 1, 7, 3, 13, 2, 9, 12, 13, 8, 11, 4, 15, 8, 9, 6, 10, 1, 12, 6, 1, 2, 8, 15, 3, 4, 1, 6, 12, 8, 8, 7, 12, 1, 0, 13, 4, 10, 1, 1, 8, 9, 8, 8, 4, 1, 11, 4, 10, 8, 2, 16},
+	{6, 5},
+	{6, 5, 4},
+	{6, 5, 4, 5, 13, 9, 8, 11, 7, 12, 7, 13, 13, 9, 14, 0, 2, 3, 7, 5, 3, 10, 6, 4, 12, 5, 1, 5, 14, 6, 9, 14, 1, 9, 14, 7, 2, 11, 1, 8, 15, 1, 6, 3, 8, 3, 1, 12, 0, 8, 12, 7, 15, 5, 5, 9, 13, 13, 8, 1, 3, 4, 11, 5, 16},
+	{6, 5, 10},
+	{6, 5, 10, 1, 12, 5, 6, 6, 7, 7, 7, 6, 13, 13, 9, 10, 7, 2, 6, 10, 6, 7, 0, 3, 8, 14, 4, 5, 14, 0, 4, 0, 11, 1, 15, 10, 4, 6, 3, 14, 13, 5, 5, 15, 7, 5, 3, 12, 2, 1, 5, 6, 11, 3, 5, 5, 6, 1, 6, 15, 2, 12, 8, 2, 16},
+	{6, 5, 12},
+	{6, 5, 12, 10, 7, 3, 1, 5, 3, 12, 11, 8, 15, 0, 2, 2, 3, 3, 12, 0, 13, 1, 2, 15, 9, 9, 6, 14, 3, 13, 12, 1, 5, 8, 4, 15, 0, 4, 2, 6, 2, 8, 5, 15, 6, 3, 11, 15, 4, 1, 11, 14, 12, 9, 1, 10, 8, 6, 13, 3, 12, 3, 6, 14, 16},
+	{6, 5, 13},
+	{6, 5, 13, 0, 7, 11, 4, 13, 8, 1, 5, 0, 8, 12, 2, 4, 15, 5, 5, 1, 7, 2, 10, 15, 10, 11, 2, 9, 3, 5, 13, 11, 2, 1, 0, 6, 8, 9, 11, 10, 11, 10, 6, 2, 7, 0, 9, 9, 1, 15, 0, 2, 1, 8, 3, 5, 6, 7, 0, 5, 13, 12, 1, 12, 16},
+	{6, 6},
+	{6, 6, 0},
+	{6, 6, 0, 15, 4, 15, 9, 3, 8, 6, 5, 10, 13, 8, 0, 13, 0, 12, 9, 15, 1, 1, 5, 9, 11, 12, 1, 7, 14, 12, 10, 10, 3, 9, 8, 10, 0, 15, 4, 10, 15, 3, 10, 3, 7, 4, 13, 13, 0, 3, 3, 11, 2, 0, 0, 2, 9, 3, 7, 8, 9, 8, 0, 10, 16},
+	{6, 6, 8},
+	{6, 6, 8, 8, 12, 7, 11, 8, 12, 0, 2, 4, 2, 8, 10, 3, 11, 10, 7, 14, 0, 11, 8, 3, 2, 3, 7, 9, 7, 8, 10, 4, 6, 15, 10, 15, 9, 10, 6, 3, 2, 15, 12, 6, 1, 5, 13, 15, 12, 15, 7, 2, 2, 6, 4, 7, 3, 12, 2, 4, 4, 0, 0, 4, 16},
+	{6, 8},
+	{6, 8, 4},
+	{6, 8, 4, 2},
+	{6, 8, 4, 2, 7, 2, 5, 4, 7, 11, 10, 12, 4, 12, 0, 8, 3, 11, 7, 3, 8, 0, 15, 0, 5, 4, 13, 0, 8, 10, 5, 0, 3, 0, 8, 6, 2, 10, 5, 15, 0, 6, 10, 2, 3, 6, 7, 15, 3, 11, 8, 14, 8, 8, 0, 12, 4, 11, 7, 3, 7, 0, 14, 13, 16},
+	{6, 8, 4, 9},
+	{6, 8, 4, 9, 2, 15, 2, 0, 12, 1, 13, 7, 5, 9, 7, 4, 2, 5, 12, 8, 10, 5, 3, 10, 7, 15, 5, 14, 3, 8, 0, 15, 11, 12, 14, 0, 5, 8, 13, 1, 11, 15, 14, 10, 2, 5, 2, 1, 10, 7, 14, 8, 10, 15, 0, 3, 12, 3, 8, 7, 14, 1, 10, 0, 16},
+	{6, 8, 9},
+	{6, 8, 9, 8, 0, 2, 13, 6, 14, 13, 1, 10, 2, 8, 11, 0, 4, 9, 14, 9, 13, 4, 15, 14, 5, 3, 3, 4, 12, 5, 9, 0, 2, 15, 13, 9, 11, 12, 0, 0, 12, 4, 2, 8, 2, 1, 12, 8, 2, 15, 8, 2, 14, 14, 2, 13, 10, 1, 0, 11, 14, 9, 0, 8, 16},
+	{6, 10},
+	{6, 10, 1},
+	{6, 10, 1, 12, 4, 14, 8, 11, 7, 12, 7, 1, 0, 5, 3, 1, 12, 9, 14, 6, 6, 1, 6, 6, 13, 0, 6, 2, 9, 15, 15, 4, 4, 3, 13, 15, 1, 9, 12, 14, 15, 10, 0, 8, 1, 14, 11, 4, 15, 15, 15, 12, 12, 7, 13, 2, 6, 7, 12, 14, 7, 12, 9, 2, 16},
+	{6, 10, 14},
+	{6, 10, 14, 15, 12, 7, 2, 9, 14, 2, 8, 14, 1, 11, 11, 13, 2, 14, 6, 3, 13, 13, 0, 8, 0, 3, 3, 1, 4, 13, 14, 11, 8, 0, 8, 10, 11, 0, 4, 4, 9, 0, 9, 10, 15, 8, 8, 2, 11, 7, 9, 3, 5, 13, 13, 0, 5, 15, 5, 9, 3, 9, 10, 4, 16},
+	{6, 11},
+	{6, 11, 2},
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+	{6, 11, 12},
+	{6, 11, 12, 15, 13, 5, 8, 7, 6, 9, 12, 6, 9, 6, 6, 14, 3, 1, 10, 10, 11, 14, 2, 8, 10, 13, 13, 12, 14, 6, 1, 5, 1, 15, 2, 13, 13, 2, 14, 10, 1, 13, 9, 12, 3, 0, 7, 14, 0, 9, 12, 6, 12, 9, 13, 11, 9, 5, 11, 6, 11, 1, 0, 3, 16},
+	{6, 11, 14},
+	{6, 11, 14, 4, 14, 11, 2, 15, 11, 3, 0, 8, 15, 13, 6, 4, 1, 3, 4, 6, 5, 3, 3, 10, 4, 10, 12, 11, 9, 12, 4, 12, 12, 10, 3, 14, 2, 13, 4, 7, 8, 14, 9, 0, 7, 5, 5, 2, 2, 6, 4, 6, 12, 9, 7, 2, 10, 2, 0, 6, 2, 9, 8, 5, 16},
+	{6, 13},
+	{6, 13, 2},
+	{6, 13, 2, 0, 3, 2, 11, 0, 0, 2, 13, 13, 10, 8, 12, 5, 2, 8, 0, 11, 15, 4, 8, 2, 1, 3, 13, 7, 11, 9, 8, 1, 4, 7, 6, 10, 9, 10, 8, 14, 5, 3, 10, 6, 9, 10, 3, 9, 12, 6, 2, 5, 14, 5, 12, 8, 1, 2, 9, 14, 9, 2, 8, 7, 16},
+	{6, 13, 12},
+	{6, 13, 12, 8, 0, 9, 0, 1, 2, 12, 12, 9, 1, 3, 3, 5, 10, 5, 14, 10, 4, 14, 1, 8, 6, 11, 13, 0, 4, 4, 7, 9, 10, 10, 12, 7, 13, 10, 14, 1, 11, 12, 11, 13, 0, 2, 3, 11, 15, 6, 6, 0, 2, 1, 3, 10, 6, 9, 15, 4, 15, 13, 11, 13, 16},
+	{7},
+	{7, 1},
+	{7, 1, 10, 3, 12, 7, 15, 8, 13, 0, 15, 14, 8, 10, 11, 12, 9, 15, 11, 10, 11, 1, 8, 6, 0, 10, 13, 5, 7, 6, 14, 13, 13, 15, 15, 2, 1, 4, 4, 7, 6, 3, 9, 3, 7, 1, 9, 5, 14, 10, 4, 15, 0, 1, 2, 15, 12, 6, 2, 5, 11, 0, 5, 3, 16},
+	{7, 5},
+	{7, 5, 4, 2, 2, 10, 3, 13, 3, 6, 12, 9, 3, 15, 12, 11, 12, 12, 10, 13, 2, 14, 5, 0, 2, 7, 7, 5, 2, 2, 6, 15, 3, 7, 5, 14, 2, 6, 4, 14, 3, 5, 15, 12, 5, 5, 10, 12, 2, 0, 13, 15, 1, 14, 9, 15, 0, 5, 0, 14, 8, 11, 8, 12, 16},
+	{7, 7},
+	{7, 7, 4, 4, 11, 14, 2, 4, 2, 7, 12, 10, 12, 15, 1, 7, 0, 6, 2, 12, 11, 0, 3, 0, 13, 3, 0, 14, 3, 4, 12, 3, 11, 5, 4, 3, 11, 2, 8, 10, 8, 3, 7, 0, 7, 13, 15, 0, 4, 14, 6, 4, 13, 3, 15, 7, 13, 13, 11, 4, 7, 1, 11, 8, 16},
+	{7, 8},
+	{7, 8, 2},
+	{7, 8, 2, 0, 11, 4, 1, 3, 9, 4, 13, 7, 15, 3, 0, 15, 2, 11, 0, 2, 15, 2, 4, 15, 8, 10, 3, 3, 10, 15, 14, 8, 11, 9, 8, 12, 13, 6, 8, 8, 2, 7, 14, 12, 6, 5, 1, 10, 14, 12, 3, 11, 10, 3, 3, 14, 4, 1, 2, 0, 6, 15, 14, 2, 16},
+	{7, 8, 5},
+	{7, 8, 5, 10, 3, 2, 11, 15, 0, 15, 4, 2, 11, 13, 6, 12, 9, 8, 6, 11, 9, 0, 0, 0, 7, 0, 11, 13, 7, 0, 15, 15, 4, 14, 13, 5, 14, 10, 10, 13, 4, 4, 8, 14, 5, 7, 12, 15, 5, 13, 9, 9, 7, 2, 2, 4, 12, 3, 15, 8, 7, 12, 2, 12, 16},
+	{7, 9},
+	{7, 9, 13, 14, 11, 2, 15, 0, 4, 2, 15, 1, 7, 1, 7, 12, 12, 8, 8, 2, 12, 5, 10, 3, 8, 11, 11, 11, 6, 12, 5, 2, 4, 9, 3, 2, 3, 5, 2, 15, 15, 2, 5, 11, 10, 14, 11, 8, 11, 8, 15, 13, 2, 2, 2, 5, 0, 9, 5, 14, 2, 9, 10, 14, 16},
+	{7, 10},
+	{7, 10, 1, 12, 8, 5, 1, 6, 1, 13, 8, 3, 11, 13, 7, 1, 3, 3, 6, 13, 13, 9, 13, 5, 14, 3, 1, 11, 9, 12, 6, 10, 7, 11, 14, 2, 11, 14, 15, 3, 13, 0, 4, 14, 15, 7, 0, 6, 5, 2, 13, 6, 3, 4, 6, 1, 15, 7, 10, 13, 4, 12, 10, 8, 16},
+	{7, 13},
+	{7, 13, 1},
+	{7, 13, 1, 0},
+	{7, 13, 1, 0, 0, 9, 3, 3, 1, 1, 9, 5, 15, 6, 10, 3, 12, 2, 14, 14, 14, 6, 10, 12, 4, 11, 4, 6, 6, 4, 15, 6, 1, 12, 7, 7, 7, 5, 0, 0, 12, 1, 6, 3, 14, 14, 8, 4, 7, 6, 9, 9, 1, 3, 5, 7, 8, 10, 3, 3, 11, 13, 15, 2, 16},
+	{7, 13, 1, 13},
+	{7, 13, 1, 13, 5, 15, 3, 10, 1, 4, 12, 0, 10, 11, 1, 3, 3, 11, 6, 5, 6, 9, 8, 12, 2, 13, 6, 2, 12, 8, 1, 8, 12, 6, 5, 15, 1, 3, 3, 0, 6, 12, 12, 11, 15, 13, 6, 1, 10, 10, 4, 11, 7, 5, 9, 0, 11, 11, 7, 8, 6, 6, 0, 12, 16},
+	{7, 13, 7},
+	{7, 13, 7, 6, 6, 5, 0, 3, 11, 9, 1, 5, 8, 14, 14, 0, 6, 11, 0, 10, 5, 8, 7, 8, 5, 9, 15, 6, 14, 2, 4, 9, 7, 4, 12, 7, 8, 12, 3, 10, 6, 4, 11, 6, 14, 4, 13, 8, 10, 14, 15, 11, 12, 11, 8, 10, 13, 3, 11, 12, 2, 1, 2, 7, 16},
+	{7, 14},
+	{7, 14, 8},
+	{7, 14, 8, 3, 3, 11, 9, 11, 8, 6, 7, 12, 10, 10, 14, 3, 13, 5, 14, 2, 11, 6, 4, 12, 1, 3, 10, 7, 4, 4, 15, 0, 14, 5, 12, 12, 1, 11, 15, 15, 5, 0, 15, 13, 11, 3, 7, 1, 3, 14, 3, 12, 5, 0, 5, 1, 1, 4, 10, 0, 7, 13, 14, 1, 16},
+	{7, 14, 11},
+	{7, 14, 11, 6, 15, 13, 10, 13, 12, 6, 7, 0, 3, 10, 13, 6, 4, 10, 7, 12, 12, 13, 5, 15, 14, 13, 13, 12, 7, 8, 8, 13, 12, 9, 2, 14, 15, 10, 12, 7, 14, 0, 6, 6, 14, 0, 1, 13, 5, 14, 11, 7, 1, 7, 6, 14, 9, 1, 10, 6, 3, 3, 1, 13, 16},
+	{8},
+	{8, 0},
+	{8, 0, 3},
+	{8, 0, 3, 8, 2, 2, 8, 0, 14, 2, 15, 4, 10, 8, 14, 10, 9, 0, 0, 1, 12, 8, 14, 2, 2, 3, 3, 2, 10, 3, 13, 12, 3, 13, 3, 10, 6, 9, 2, 11, 5, 4, 9, 13, 3, 12, 9, 0, 15, 6, 5, 7, 9, 6, 2, 7, 0, 14, 1, 14, 11, 7, 7, 0, 16},
+	{8, 0, 11},
+	{8, 0, 11, 14, 8, 5, 8, 10, 11, 0, 9, 7, 8, 9, 13, 2, 6, 12, 15, 1, 1, 2, 8, 7, 7, 5, 7, 5, 6, 10, 8, 10, 11, 14, 1, 12, 8, 15, 15, 12, 4, 2, 1, 8, 13, 3, 14, 9, 9, 0, 11, 3, 13, 2, 5, 10, 8, 2, 5, 8, 3, 2, 5, 5, 16},
+	{8, 2},
+	{8, 2, 6, 12, 14, 1, 13, 6, 0, 10, 12, 9, 15, 0, 10, 11, 5, 9, 4, 4, 10, 12, 15, 1, 12, 0, 6, 7, 0, 0, 10, 5, 8, 5, 15, 8, 4, 0, 7, 13, 6, 7, 0, 4, 9, 5, 12, 7, 8, 1, 1, 11, 9, 7, 12, 15, 8, 2, 6, 3, 11, 4, 3, 4, 16},
+	{8, 8},
+	{8, 8, 1, 10, 5, 0, 6, 0, 3, 9, 14, 2, 5, 10, 8, 1, 8, 15, 3, 5, 10, 10, 0, 14, 3, 14, 12, 5, 8, 12, 6, 4, 13, 15, 5, 12, 1, 0, 6, 2, 4, 5, 13, 12, 2, 5, 14, 15, 6, 15, 10, 4, 12, 15, 1, 14, 11, 1, 10, 10, 11, 5, 6, 10, 16},
+	{8, 9},
+	{8, 9, 3},
+	{8, 9, 3, 8, 11, 14, 2, 10, 13, 9, 9, 5, 0, 3, 9, 0, 13, 6, 13, 9, 2, 2, 1, 3, 12, 10, 1, 0, 2, 15, 12, 2, 1, 10, 4, 3, 0, 4, 12, 8, 8, 3, 5, 4, 13, 0, 14, 7, 4, 15, 4, 11, 3, 15, 15, 6, 9, 6, 12, 14, 5, 7, 9, 1, 16},
+	{8, 9, 13},
+	{8, 9, 13, 0, 4, 11, 12, 11, 10, 3, 9, 6, 13, 1, 2, 13, 14, 1, 14, 13, 3, 6, 15, 4, 1, 13, 15, 6, 0, 12, 14, 0, 10, 14, 0, 4, 4, 9, 11, 10, 14, 8, 3, 15, 1, 4, 12, 7, 4, 0, 4, 5, 1, 12, 15, 1, 9, 3, 6, 2, 10, 14, 8, 15, 16},
+	{8, 10},
+	{8, 10, 14, 5, 8, 6, 10, 10, 1, 14, 12, 2, 12, 2, 9, 10, 12, 14, 13, 4, 15, 14, 11, 5, 10, 13, 15, 9, 3, 3, 6, 5, 4, 1, 7, 6, 9, 11, 9, 3, 12, 13, 5, 11, 8, 12, 12, 1, 11, 6, 4, 11, 7, 13, 8, 3, 1, 12, 7, 11, 0, 14, 12, 2, 16},
+	{8, 12},
+	{8, 12, 3},
+	{8, 12, 3, 10, 11, 0, 9, 7, 0, 11, 7, 3, 8, 9, 5, 11, 8, 12, 9, 9, 5, 9, 11, 10, 14, 6, 8, 5, 12, 3, 10, 1, 9, 15, 4, 5, 14, 11, 5, 10, 13, 8, 9, 13, 4, 2, 11, 5, 2, 10, 3, 4, 0, 14, 12, 4, 10, 12, 2, 0, 4, 13, 1, 9, 16},
+	{8, 12, 15},
+	{8, 12, 15, 14, 15, 10, 9, 8, 0, 6, 12, 9, 9, 13, 11, 8, 11, 14, 10, 1, 14, 13, 8, 14, 5, 3, 4, 15, 6, 13, 12, 13, 11, 8, 3, 5, 12, 13, 1, 4, 1, 0, 15, 1, 15, 2, 8, 7, 14, 10, 4, 2, 9, 3, 14, 2, 9, 10, 3, 14, 10, 12, 12, 0, 16},
+	{8, 13},
+	{8, 13, 13, 8, 1, 10, 6, 0, 3, 5, 5, 1, 3, 8, 14, 9, 10, 8, 0, 0, 5, 4, 6, 0, 3, 15, 14, 2, 3, 13, 7, 8, 9, 6, 5, 4, 4, 2, 5, 4, 15, 6, 6, 14, 2, 3, 6, 13, 4, 7, 8, 10, 9, 11, 0, 3, 3, 12, 3, 10, 0, 3, 3, 0, 16},
+	{8, 15},
+	{8, 15, 8},
+	{8, 15, 8, 7, 5, 5, 14, 5, 13, 8, 4, 1, 8, 7, 0, 4, 7, 7, 4, 15, 3, 8, 10, 12, 7, 9, 13, 13, 9, 4, 4, 12, 2, 2, 3, 11, 10, 14, 9, 10, 14, 3, 6, 1, 12, 5, 14, 15, 13, 13, 6, 1, 4, 13, 0, 9, 12, 6, 0, 15, 13, 12, 15, 12, 16},
+	{8, 15, 13},
+	{8, 15, 13, 5, 6, 15, 15, 4, 7, 4, 6, 0, 2, 12, 9, 8, 1, 3, 6, 15, 4, 10, 9, 3, 8, 9, 14, 3, 14, 2, 11, 5, 13, 7, 14, 7, 8, 14, 12, 5, 5, 13, 5, 14, 13, 11, 6, 3, 15, 11, 4, 7, 7, 13, 7, 2, 8, 1, 4, 2, 4, 5, 1, 5, 16},
+	{9},
+	{9, 0},
+	{9, 0, 11, 0, 13, 2, 8, 9, 14, 10, 2, 1, 1, 13, 12, 10, 8, 14, 0, 2, 0, 12, 9, 12, 12, 8, 12, 5, 13, 6, 11, 10, 2, 15, 4, 1, 6, 15, 14, 1, 5, 15, 10, 6, 9, 2, 11, 4, 7, 1, 8, 4, 10, 4, 11, 9, 4, 6, 11, 2, 2, 1, 4, 13, 16},
+	{9, 5},
+	{9, 5, 4, 6, 13, 14, 10, 2, 2, 15, 2, 4, 7, 9, 7, 5, 2, 8, 1, 6, 11, 6, 5, 10, 10, 9, 13, 11, 1, 11, 8, 3, 5, 14, 15, 14, 15, 11, 12, 1, 14, 13, 1, 1, 8, 0, 4, 6, 9, 9, 6, 8, 3, 8, 9, 7, 12, 13, 10, 4, 2, 2, 7, 14, 16},
+	{9, 6},
+	{9, 6, 10},
+	{9, 6, 10, 13, 0, 11, 2, 7, 14, 15, 1, 0, 15, 10, 7, 10, 9, 9, 4, 0, 2, 9, 9, 13, 15, 1, 2, 2, 13, 3, 1, 2, 2, 2, 12, 12, 9, 1, 1, 11, 13, 2, 12, 9, 1, 13, 2, 7, 4, 0, 15, 2, 5, 10, 0, 13, 12, 9, 3, 1, 15, 4, 12, 0, 16},
+	{9, 6, 11},
+	{9, 6, 11, 8, 2, 12, 6, 13, 1, 1, 4, 7, 9, 12, 4, 0, 13, 6, 7, 1, 15, 3, 1, 5, 0, 11, 8, 0, 7, 12, 9, 6, 3, 14, 15, 14, 10, 7, 12, 3, 10, 9, 0, 15, 12, 0, 3, 14, 12, 12, 10, 1, 0, 1, 12, 1, 9, 6, 0, 1, 13, 9, 5, 11, 16},
+	{9, 6, 14},
+	{9, 6, 14, 1, 6, 10, 15, 9, 10, 10, 5, 15, 8, 9, 4, 12, 4, 3, 5, 1, 4, 13, 9, 4, 0, 6, 8, 7, 13, 10, 15, 10, 10, 5, 10, 13, 0, 4, 14, 10, 7, 8, 10, 3, 11, 0, 0, 8, 0, 3, 1, 9, 3, 7, 0, 14, 4, 5, 4, 6, 0, 2, 13, 2, 16},
+	{9, 7},
+	{9, 7, 8, 2, 11, 11, 0, 0, 6, 1, 7, 4, 14, 13, 0, 1, 4, 12, 5, 9, 14, 6, 14, 14, 14, 3, 8, 1, 12, 6, 14, 1, 0, 11, 12, 9, 3, 0, 4, 2, 2, 6, 14, 13, 11, 9, 9, 14, 13, 13, 6, 15, 8, 14, 9, 0, 4, 1, 14, 9, 13, 9, 10, 7, 16},
+	{9, 9},
+	{9, 9, 2, 4, 7, 0, 11, 3, 14, 5, 2, 12, 9, 4, 15, 7, 11, 13, 5, 13, 4, 9, 6, 2, 10, 1, 7, 9, 8, 10, 4, 1, 4, 2, 5, 11, 14, 10, 7, 4, 10, 13, 0, 8, 7, 10, 7, 15, 5, 3, 10, 14, 11, 11, 7, 8, 5, 4, 0, 1, 13, 15, 3, 13, 16},
+	{9, 14},
+	{9, 14, 14, 4, 0, 13, 12, 11, 12, 4, 9, 7, 4, 6, 14, 3, 1, 10, 7, 5, 4, 1, 5, 5, 5, 1, 5, 10, 10, 10, 2, 3, 2, 11, 15, 0, 11, 13, 11, 15, 13, 5, 10, 7, 10, 11, 7, 7, 14, 10, 9, 12, 13, 3, 9, 15, 4, 11, 7, 2, 8, 2, 10, 1, 16},
+	{9, 15},
+	{9, 15, 0},
+	{9, 15, 0, 13, 11, 10, 14, 12, 12, 6, 5, 8, 1, 12, 15, 11, 11, 5, 7, 12, 13, 6, 12, 6, 15, 5, 0, 14, 2, 4, 12, 2, 3, 10, 13, 4, 15, 12, 13, 15, 2, 2, 8, 1, 4, 0, 12, 0, 12, 11, 5, 1, 10, 8, 10, 4, 14, 13, 15, 5, 13, 0, 11, 0, 16},
+	{9, 15, 4},
+	{9, 15, 4, 14, 6, 0, 1, 2, 3, 13, 11, 2, 3, 14, 3, 15, 3, 0, 5, 5, 15, 7, 5, 0, 8, 7, 2, 4, 8, 15, 13, 5, 9, 2, 3, 13, 4, 6, 9, 14, 7, 6, 13, 3, 4, 4, 13, 2, 8, 11, 4, 15, 2, 4, 10, 4, 4, 9, 12, 10, 6, 3, 9, 8, 16},
+	{9, 15, 10},
+	{9, 15, 10, 9, 5, 13, 1, 0, 7, 3, 2, 15, 3, 4, 3, 6, 5, 15, 3, 4, 15, 5, 10, 2, 15, 7, 7, 0, 2, 10, 9, 13, 10, 14, 4, 0, 12, 5, 8, 3, 1, 0, 5, 12, 4, 0, 9, 2, 1, 10, 5, 0, 5, 2, 13, 12, 10, 1, 15, 9, 15, 7, 9, 3, 16},
+	{10},
+	{10, 0},
+	{10, 0, 9},
+	{10, 0, 9, 2, 12, 3, 15, 3, 6, 1, 3, 5, 15, 7, 9, 12, 5, 7, 10, 10, 5, 6, 8, 3, 13, 9, 7, 14, 5, 13, 5, 7, 5, 0, 12, 3, 7, 13, 0, 11, 13, 0, 10, 13, 10, 2, 1, 5, 14, 9, 10, 9, 6, 8, 5, 6, 12, 5, 6, 13, 7, 14, 9, 1, 16},
+	{10, 0, 10},
+	{10, 0, 10, 2, 2, 2, 2, 6, 15, 8, 5, 3, 7, 1, 11, 5, 14, 5, 14, 4, 1, 7, 3, 11, 3, 3, 10, 1, 11, 9, 6, 2, 9, 13, 7, 4, 5, 9, 6, 1, 15, 3, 6, 14, 9, 11, 0, 5, 1, 0, 12, 5, 9, 1, 15, 1, 1, 14, 3, 13, 13, 9, 5, 11, 16},
+	{10, 0, 15},
+	{10, 0, 15, 1, 13, 13, 12, 6, 14, 3, 10, 10, 13, 6, 9, 1, 0, 9, 14, 0, 14, 8, 12, 5, 13, 1, 5, 14, 8, 8, 0, 0, 14, 2, 2, 0, 11, 1, 9, 2, 15, 8, 5, 15, 3, 6, 9, 14, 0, 11, 14, 15, 5, 12, 15, 8, 5, 8, 13, 12, 12, 15, 9, 10, 16},
+	{10, 2},
+	{10, 2, 1, 6, 12, 0, 10, 4, 7, 11, 1, 2, 12, 2, 0, 13, 5, 10, 12, 5, 12, 3, 8, 1, 4, 6, 4, 10, 8, 9, 5, 2, 1, 13, 8, 11, 0, 12, 1, 10, 5, 12, 11, 3, 2, 8, 10, 14, 10, 11, 11, 2, 9, 11, 7, 0, 11, 12, 3, 3, 4, 7, 13, 4, 16},
+	{10, 3},
+	{10, 3, 11, 4, 1, 12, 1, 3, 15, 6, 14, 1, 6, 15, 13, 2, 2, 4, 2, 10, 4, 3, 11, 0, 4, 1, 12, 15, 13, 1, 15, 0, 2, 12, 11, 11, 4, 12, 15, 0, 6, 9, 4, 3, 13, 1, 4, 3, 6, 5, 11, 11, 8, 15, 0, 10, 3, 0, 15, 15, 5, 0, 7, 10, 16},
+	{10, 5},
+	{10, 5, 6, 14, 5, 2, 2, 8, 9, 5, 11, 5, 1, 15, 3, 14, 10, 13, 2, 1, 12, 12, 15, 10, 2, 6, 8, 0, 4, 0, 9, 5, 1, 0, 5, 3, 14, 13, 0, 15, 10, 8, 1, 7, 10, 3, 5, 3, 12, 10, 6, 2, 6, 8, 11, 11, 12, 6, 3, 5, 14, 0, 5, 2, 16},
+	{10, 6},
+	{10, 6, 2, 14, 9, 13, 12, 1, 5, 10, 3, 5, 12, 1, 10, 11, 9, 13, 0, 10, 12, 4, 3, 4, 5, 11, 1, 15, 0, 2, 15, 13, 8, 14, 8, 0, 7, 0, 8, 8, 3, 10, 3, 3, 6, 5, 1, 12, 0, 12, 1, 4, 3, 11, 2, 5, 8, 2, 7, 0, 8, 2, 6, 8, 16},
+	{10, 8},
+	{10, 8, 7, 6, 13, 10, 5, 1, 8, 10, 3, 9, 3, 13, 11, 13, 0, 6, 7, 13, 12, 7, 2, 10, 11, 15, 10, 0, 8, 13, 4, 7, 5, 14, 13, 6, 4, 4, 7, 15, 12, 10, 9, 6, 13, 9, 2, 14, 12, 3, 15, 9, 14, 7, 14, 11, 10, 5, 0, 3, 12, 10, 6, 1, 16},
+	{10, 9},
+	{10, 9, 3, 13, 11, 8, 6, 1, 1, 14, 8, 13, 0, 12, 1, 5, 9, 14, 11, 7, 2, 4, 13, 2, 10, 14, 10, 7, 2, 7, 6, 3, 13, 15, 11, 5, 10, 6, 9, 0, 9, 10, 8, 5, 1, 6, 4, 6, 7, 12, 7, 9, 13, 0, 3, 8, 6, 13, 6, 1, 10, 5, 1, 1, 16},
+	{10, 10},
+	{10, 10, 5},
+	{10, 10, 5, 4, 6, 8, 1, 7, 13, 10, 11, 15, 15, 12, 9, 12, 4, 2, 4, 9, 8, 3, 0, 10, 0, 10, 15, 5, 12, 15, 4, 3, 12, 6, 14, 12, 14, 6, 5, 6, 2, 7, 2, 0, 9, 9, 0, 7, 3, 6, 1, 9, 9, 14, 5, 7, 0, 15, 6, 2, 1, 13, 7, 12, 16},
+	{10, 10, 8},
+	{10, 10, 8, 13, 9, 12, 9, 4, 7, 7, 7, 1, 6, 3, 2, 10, 6, 4, 5, 12, 6, 7, 6, 5, 5, 5, 9, 5, 11, 6, 1, 13, 10, 7, 2, 8, 3, 7, 11, 15, 10, 9, 7, 15, 3, 0, 15, 4, 1, 7, 13, 11, 10, 14, 13, 8, 2, 15, 2, 15, 1, 1, 12, 3, 16},
+	{10, 13},
+	{10, 13, 0},
+	{10, 13, 0, 0, 12, 15, 4, 13, 7, 13, 11, 5, 2, 3, 15, 2, 0, 11, 5, 0, 0, 0, 11, 13, 1, 4, 6, 9, 10, 1, 1, 13, 7, 0, 11, 7, 3, 15, 14, 10, 13, 13, 3, 6, 5, 7, 8, 10, 11, 13, 11, 9, 15, 3, 5, 5, 8, 11, 13, 13, 3, 6, 7, 4, 16},
+	{10, 13, 13},
+	{10, 13, 13, 11, 0, 13, 4, 11, 1, 4, 7, 4, 9, 11, 11, 4, 11, 5, 12, 13, 8, 5, 8, 15, 2, 9, 10, 4, 11, 4, 2, 2, 5, 1, 3, 8, 12, 3, 9, 5, 3, 0, 9, 0, 12, 14, 4, 5, 2, 0, 4, 4, 5, 8, 13, 12, 13, 5, 3, 7, 4, 9, 14, 4, 16},
+	{10, 14},
+	{10, 14, 4},
+	{10, 14, 4, 9, 15, 4, 4, 1, 7, 0, 4, 8, 12, 10, 12, 12, 0, 1, 7, 1, 6, 10, 2, 13, 8, 0, 4, 15, 6, 9, 9, 13, 8, 14, 12, 3, 4, 14, 10, 13, 7, 3, 5, 14, 1, 12, 6, 1, 6, 0, 4, 9, 9, 6, 10, 12, 3, 7, 15, 3, 5, 1, 5, 7, 16},
+	{10, 14, 11},
+	{10, 14, 11, 8},
+	{10, 14, 11, 8, 6, 8, 12, 12, 8, 12, 13, 0, 0, 0, 1, 6, 7, 10, 15, 8, 11, 0, 15, 4, 13, 10, 13, 13, 2, 14, 3, 4, 8, 14, 5, 4, 3, 10, 0, 1, 9, 12, 13, 0, 11, 1, 3, 1, 2, 13, 11, 14, 13, 14, 11, 4, 14, 12, 13, 12, 5, 9, 2, 10, 16},
+	{10, 14, 11, 14},
+	{10, 14, 11, 14, 9, 9, 7, 3, 15, 12, 4, 8, 4, 9, 10, 2, 7, 5, 2, 1, 12, 2, 10, 7, 1, 10, 10, 11, 7, 6, 7, 3, 13, 13, 10, 11, 8, 3, 12, 12, 8, 8, 14, 9, 1, 10, 11, 14, 12, 6, 7, 5, 12, 1, 12, 4, 7, 1, 10, 11, 15, 9, 2, 7, 16},
+	{10, 15},
+	{10, 15, 0, 3, 1, 7, 5, 4, 4, 4, 13, 12, 4, 3, 12, 12, 3, 3, 3, 9, 1, 12, 4, 12, 4, 0, 1, 0, 14, 10, 12, 1, 5, 13, 4, 0, 1, 11, 2, 14, 11, 5, 15, 15, 12, 7, 11, 12, 7, 7, 8, 10, 11, 14, 3, 7, 2, 15, 2, 8, 12, 14, 3, 7, 16},
+	{11},
+	{11, 0},
+	{11, 0, 2},
+	{11, 0, 2, 12, 4, 13, 5, 8, 10, 3, 8, 0, 0, 13, 9, 3, 15, 9, 5, 15, 2, 14, 11, 4, 8, 5, 0, 11, 3, 13, 2, 4, 2, 7, 5, 6, 11, 15, 1, 12, 10, 3, 0, 9, 9, 11, 12, 4, 3, 9, 0, 7, 10, 15, 6, 13, 15, 15, 0, 11, 15, 3, 3, 7, 16},
+	{11, 0, 15},
+	{11, 0, 15, 14, 1, 8, 14, 5, 1, 0, 15, 6, 9, 5, 13, 11, 15, 2, 4, 10, 13, 5, 6, 15, 11, 3, 11, 6, 4, 7, 10, 10, 0, 9, 15, 8, 14, 1, 9, 0, 2, 1, 10, 11, 14, 8, 0, 6, 8, 6, 10, 6, 6, 10, 2, 14, 6, 5, 3, 12, 11, 1, 2, 13, 16},
+	{11, 1},
+	{11, 1, 4, 13, 9, 15, 13, 12, 6, 5, 7, 13, 7, 1, 2, 2, 0, 8, 13, 6, 14, 7, 12, 2, 12, 15, 11, 15, 6, 2, 15, 7, 10, 13, 7, 11, 10, 1, 11, 15, 15, 15, 2, 14, 6, 3, 14, 6, 12, 10, 14, 14, 2, 11, 0, 11, 15, 5, 11, 10, 13, 0, 15, 13, 16},
+	{11, 2},
+	{11, 2, 5, 9, 3, 9, 8, 6, 7, 9, 9, 4, 12, 13, 8, 14, 5, 10, 1, 8, 15, 3, 4, 1, 6, 2, 8, 4, 2, 0, 15, 10, 8, 10, 11, 8, 8, 11, 2, 15, 5, 13, 0, 5, 15, 15, 14, 5, 1, 2, 9, 1, 6, 5, 4, 9, 2, 2, 15, 5, 4, 5, 4, 15, 16},
+	{11, 3},
+	{11, 3, 1, 11, 10, 6, 13, 5, 7, 6, 13, 11, 13, 14, 0, 5, 4, 2, 13, 3, 0, 10, 9, 2, 6, 4, 14, 2, 12, 7, 1, 11, 14, 2, 7, 0, 14, 3, 14, 11, 4, 15, 5, 9, 1, 0, 5, 6, 7, 10, 8, 12, 1, 12, 0, 6, 1, 9, 10, 2, 14, 5, 14, 12, 16},
+	{11, 4},
+	{11, 4, 1, 0, 8, 9, 14, 5, 2, 9, 12, 1, 15, 15, 6, 12, 4, 13, 6, 5, 8, 3, 14, 12, 15, 12, 10, 7, 14, 10, 6, 4, 1, 9, 11, 15, 3, 9, 14, 0, 13, 4, 1, 8, 6, 8, 6, 11, 11, 7, 10, 2, 4, 4, 2, 4, 12, 6, 7, 0, 11, 3, 3, 2, 16},
+	{11, 5},
+	{11, 5, 3, 15, 6, 11, 12, 8, 1, 14, 12, 15, 10, 15, 0, 12, 15, 4, 12, 3, 13, 12, 13, 9, 5, 2, 7, 14, 3, 12, 0, 15, 6, 9, 1, 0, 3, 8, 3, 10, 12, 15, 9, 6, 4, 14, 13, 1, 4, 11, 1, 9, 4, 15, 10, 6, 6, 0, 13, 3, 0, 11, 1, 0, 16},
+	{11, 7},
+	{11, 7, 12},
+	{11, 7, 12, 8, 12, 2, 7, 3, 10, 15, 6, 7, 5, 6, 1, 2, 11, 12, 8, 14, 14, 6, 8, 12, 7, 10, 4, 1, 9, 11, 6, 7, 1, 14, 6, 7, 8, 14, 6, 3, 15, 11, 9, 14, 13, 6, 2, 6, 4, 6, 3, 5, 8, 13, 7, 0, 10, 13, 11, 8, 2, 4, 3, 4, 16},
+	{11, 7, 15},
+	{11, 7, 15, 12, 8, 11, 1, 12, 12, 0, 5, 5, 13, 13, 9, 4, 10, 0, 15, 5, 9, 8, 15, 5, 12, 14, 4, 15, 8, 14, 1, 2, 1, 10, 8, 14, 3, 14, 4, 10, 12, 7, 5, 2, 11, 0, 2, 7, 11, 10, 3, 14, 2, 14, 9, 9, 14, 13, 1, 0, 12, 7, 11, 8, 16},
+	{11, 8},
+	{11, 8, 8},
+	{11, 8, 8, 6, 4, 12, 11, 7, 12, 6, 2, 1, 5, 14, 9, 9, 15, 15, 14, 5, 13, 11, 7, 11, 2, 2, 11, 3, 1, 2, 9, 14, 9, 3, 11, 9, 10, 3, 8, 11, 9, 11, 5, 4, 1, 9, 3, 10, 0, 14, 3, 13, 7, 12, 8, 2, 5, 1, 6, 5, 7, 1, 7, 3, 16},
+	{11, 8, 15},
+	{11, 8, 15, 3, 7, 10, 6, 1, 12, 2, 6, 13, 3, 8, 8, 3, 0, 6, 10, 13, 9, 13, 14, 14, 2, 5, 14, 7, 2, 10, 10, 8, 6, 10, 4, 9, 9, 0, 3, 10, 1, 15, 11, 11, 14, 6, 2, 0, 5, 2, 1, 1, 11, 4, 7, 13, 1, 15, 3, 9, 15, 7, 7, 15, 16},
+	{11, 9},
+	{11, 9, 10, 15, 7, 2, 15, 12, 0, 5, 3, 4, 10, 4, 10, 5, 10, 9, 4, 14, 11, 1, 15, 6, 4, 12, 11, 1, 11, 13, 6, 12, 4, 2, 5, 10, 12, 11, 10, 3, 2, 4, 9, 15, 11, 8, 4, 4, 1, 14, 7, 4, 1, 1, 14, 9, 11, 14, 9, 14, 12, 1, 15, 3, 16},
+	{11, 11},
+	{11, 11, 6, 2, 14, 8, 13, 8, 13, 0, 14, 11, 3, 13, 7, 4, 3, 2, 7, 5, 8, 12, 2, 4, 4, 1, 3, 1, 15, 1, 6, 4, 9, 8, 7, 4, 3, 6, 7, 12, 12, 5, 2, 10, 4, 15, 10, 4, 15, 13, 0, 6, 0, 9, 13, 14, 15, 9, 14, 5, 7, 3, 8, 9, 16},
+	{11, 12},
+	{11, 12, 0, 12, 11, 5, 9, 1, 10, 6, 7, 8, 2, 2, 14, 8, 8, 13, 12, 14, 11, 11, 8, 9, 9, 1, 11, 12, 10, 5, 11, 7, 3, 0, 5, 11, 5, 8, 5, 8, 13, 6, 5, 11, 12, 2, 11, 5, 14, 6, 6, 0, 5, 14, 4, 8, 1, 10, 6, 5, 0, 5, 8, 8, 16},
+	{11, 13},
+	{11, 13, 13, 14, 12, 6, 5, 1, 6, 5, 2, 14, 0, 10, 10, 1, 7, 14, 0, 5, 6, 13, 14, 1, 7, 9, 0, 5, 5, 4, 10, 14, 12, 10, 5, 15, 10, 2, 4, 8, 12, 14, 12, 12, 4, 1, 3, 1, 13, 1, 8, 9, 13, 10, 12, 13, 2, 6, 12, 4, 12, 10, 5, 5, 16},
+	{11, 14},
+	{11, 14, 0},
+	{11, 14, 0, 1},
+	{11, 14, 0, 1, 7, 7, 1, 0, 13, 6, 11, 15, 11, 0, 10, 12, 7, 10, 8, 13, 1, 4, 0, 3, 3, 3, 1, 2, 7, 5, 7, 1, 8, 0, 9, 14, 10, 15, 2, 11, 5, 9, 0, 9, 0, 0, 15, 1, 6, 8, 5, 4, 5, 13, 10, 14, 10, 3, 8, 6, 5, 15, 6, 0, 16},
+	{11, 14, 0, 3},
+	{11, 14, 0, 3, 15, 5, 0, 13, 5, 8, 15, 14, 14, 6, 9, 1, 2, 13, 13, 11, 6, 12, 13, 15, 13, 5, 12, 2, 6, 3, 0, 2, 13, 11, 9, 4, 12, 9, 8, 6, 10, 13, 6, 9, 14, 11, 4, 14, 7, 15, 11, 3, 2, 7, 6, 8, 6, 3, 6, 11, 12, 9, 14, 6, 16},
+	{11, 14, 8},
+	{11, 14, 8, 15, 0, 10, 3, 13, 1, 12, 2, 13, 7, 10, 0, 15, 12, 2, 3, 4, 2, 15, 9, 10, 4, 12, 7, 8, 14, 0, 0, 15, 14, 3, 8, 10, 7, 15, 2, 6, 13, 10, 3, 4, 5, 7, 5, 8, 12, 11, 2, 11, 8, 14, 15, 13, 0, 5, 2, 11, 12, 13, 5, 5, 16},
+	{11, 14, 13},
+	{11, 14, 13, 10, 4, 11, 3, 4, 6, 7, 4, 15, 3, 11, 9, 13, 0, 10, 10, 15, 6, 12, 3, 9, 4, 6, 12, 0, 5, 11, 7, 3, 11, 4, 14, 7, 10, 12, 6, 8, 0, 12, 7, 0, 8, 4, 13, 4, 1, 13, 12, 8, 15, 0, 11, 13, 3, 11, 11, 3, 8, 0, 3, 1, 16},
+	{12},
+	{12, 0},
+	{12, 0, 0},
+	{12, 0, 0, 12, 2, 8, 10, 6, 11, 15, 14, 2, 8, 2, 9, 6, 1, 3, 4, 3, 2, 10, 2, 12, 2, 1, 14, 14, 15, 12, 2, 5, 13, 10, 5, 11, 10, 13, 9, 8, 3, 12, 5, 4, 3, 0, 12, 10, 2, 8, 11, 12, 1, 10, 9, 2, 13, 2, 11, 6, 5, 14, 12, 5, 16},
+	{12, 0, 1},
+	{12, 0, 1, 3},
+	{12, 0, 1, 3, 1, 8, 10, 12, 6, 14, 0, 13, 2, 12, 12, 0, 8, 4, 6, 8, 10, 11, 12, 1, 13, 15, 6, 15, 2, 12, 9, 14, 12, 3, 15, 12, 5, 12, 15, 11, 15, 14, 5, 14, 15, 14, 12, 8, 3, 10, 10, 11, 2, 5, 0, 12, 15, 12, 8, 3, 14, 15, 3, 15, 16},
+	{12, 0, 1, 11},
+	{12, 0, 1, 11, 3, 8, 5, 7, 9, 4, 6, 12, 11, 7, 7, 10, 15, 9, 15, 11, 0, 9, 3, 9, 4, 12, 4, 10, 3, 5, 9, 15, 11, 10, 6, 13, 15, 2, 0, 2, 12, 7, 7, 13, 3, 14, 0, 7, 14, 5, 3, 1, 7, 7, 15, 3, 15, 1, 8, 10, 5, 5, 15, 2, 16},
+	{12, 0, 15},
+	{12, 0, 15, 4, 15, 13, 14, 4, 7, 4, 1, 8, 1, 15, 12, 10, 3, 13, 1, 15, 11, 6, 14, 0, 13, 12, 1, 1, 8, 10, 7, 1, 4, 5, 7, 15, 14, 7, 12, 12, 5, 13, 4, 15, 1, 14, 4, 2, 6, 12, 9, 2, 14, 1, 7, 6, 7, 14, 11, 8, 8, 5, 10, 0, 16},
+	{12, 2},
+	{12, 2, 9},
+	{12, 2, 9, 1, 1, 11, 7, 5, 11, 14, 7, 13, 3, 15, 13, 11, 9, 4, 4, 2, 11, 9, 0, 0, 12, 10, 8, 15, 7, 2, 0, 5, 13, 6, 13, 5, 2, 15, 13, 11, 3, 5, 0, 5, 14, 7, 7, 14, 10, 8, 6, 7, 6, 15, 8, 1, 1, 10, 6, 13, 5, 14, 10, 1, 16},
+	{12, 2, 12},
+	{12, 2, 12, 15, 8, 14, 0, 5, 4, 5, 0, 11, 14, 6, 13, 2, 12, 9, 8, 14, 13, 12, 5, 13, 15, 2, 1, 9, 10, 4, 12, 11, 13, 8, 6, 13, 12, 6, 0, 6, 6, 7, 11, 4, 10, 7, 8, 1, 0, 2, 5, 7, 1, 7, 7, 13, 12, 7, 3, 2, 1, 7, 14, 13, 16},
+	{12, 2, 13},
+	{12, 2, 13, 4, 7, 9, 5, 2, 6, 15, 13, 11, 6, 14, 2, 9, 14, 13, 14, 0, 4, 13, 14, 1, 4, 4, 8, 11, 5, 7, 14, 15, 8, 11, 8, 7, 1, 1, 14, 6, 5, 4, 4, 5, 5, 10, 15, 3, 12, 8, 10, 14, 2, 12, 4, 6, 7, 12, 3, 6, 4, 11, 4, 9, 16},
+	{12, 4},
+	{12, 4, 9, 2, 4, 1, 8, 2, 9, 4, 4, 6, 10, 13, 5, 7, 0, 11, 5, 11, 9, 7, 13, 3, 8, 10, 5, 0, 4, 7, 8, 2, 10, 6, 5, 2, 2, 2, 0, 4, 12, 6, 7, 13, 5, 15, 2, 9, 11, 6, 1, 5, 1, 5, 2, 4, 6, 13, 0, 4, 1, 0, 13, 12, 16},
+	{12, 5},
+	{12, 5, 7, 9, 7, 5, 10, 14, 6, 9, 0, 15, 9, 10, 6, 5, 5, 4, 0, 1, 5, 4, 5, 9, 13, 11, 6, 12, 1, 3, 14, 8, 12, 6, 13, 11, 15, 6, 14, 4, 12, 12, 0, 15, 5, 12, 15, 9, 8, 6, 10, 15, 13, 1, 2, 1, 0, 12, 2, 3, 3, 10, 11, 15, 16},
+	{12, 6},
+	{12, 6, 0},
+	{12, 6, 0, 15, 7, 0, 6, 9, 9, 0, 4, 2, 4, 7, 7, 7, 2, 7, 14, 7, 2, 3, 0, 15, 6, 4, 11, 5, 12, 9, 4, 13, 8, 13, 12, 11, 2, 12, 7, 8, 1, 5, 15, 8, 12, 2, 5, 4, 2, 7, 2, 2, 15, 12, 14, 15, 9, 0, 0, 13, 13, 2, 3, 8, 16},
+	{12, 6, 4},
+	{12, 6, 4, 7, 4, 1, 1, 0, 14, 13, 14, 14, 15, 5, 9, 12, 4, 8, 8, 4, 1, 11, 3, 5, 10, 14, 13, 3, 7, 0, 5, 7, 15, 14, 11, 2, 1, 1, 14, 7, 3, 8, 1, 2, 4, 2, 8, 5, 10, 2, 3, 3, 14, 7, 7, 14, 5, 3, 1, 5, 2, 10, 5, 7, 16},
+	{12, 6, 14},
+	{12, 6, 14, 7, 15, 2, 14, 15, 7, 5, 8, 5, 1, 10, 2, 11, 7, 5, 2, 14, 11, 2, 4, 7, 11, 5, 7, 0, 1, 10, 10, 5, 15, 2, 4, 13, 0, 12, 8, 6, 7, 5, 3, 4, 3, 3, 0, 12, 7, 4, 12, 5, 1, 12, 1, 10, 14, 9, 1, 3, 1, 9, 15, 7, 16},
+	{12, 7},
+	{12, 7, 0},
+	{12, 7, 0, 5, 6, 1, 9, 14, 11, 7, 10, 9, 7, 10, 0, 1, 13, 2, 4, 14, 2, 1, 12, 13, 10, 9, 8, 0, 6, 6, 13, 4, 0, 10, 14, 11, 6, 13, 6, 12, 14, 6, 15, 11, 9, 14, 9, 10, 4, 8, 8, 0, 13, 8, 6, 15, 14, 4, 4, 3, 2, 11, 1, 3, 16},
+	{12, 7, 12},
+	{12, 7, 12, 10, 10, 9, 0, 7, 4, 4, 15, 6, 11, 0, 14, 1, 15, 10, 13, 15, 12, 5, 12, 2, 1, 12, 12, 12, 5, 13, 14, 0, 0, 5, 7, 4, 4, 7, 13, 6, 1, 6, 0, 8, 3, 5, 14, 3, 5, 14, 2, 5, 10, 8, 2, 15, 12, 3, 9, 1, 13, 0, 5, 1, 16},
+	{12, 7, 13},
+	{12, 7, 13, 13, 5, 10, 11, 8, 1, 13, 7, 7, 5, 13, 5, 12, 8, 11, 2, 8, 3, 13, 13, 15, 7, 8, 7, 11, 12, 8, 8, 12, 6, 1, 14, 7, 6, 6, 11, 7, 11, 4, 1, 8, 12, 0, 13, 6, 3, 7, 5, 6, 8, 3, 15, 5, 9, 15, 14, 6, 14, 5, 10, 9, 16},
+	{12, 9},
+	{12, 9, 3, 14, 1, 8, 3, 10, 9, 13, 13, 0, 9, 12, 13, 13, 4, 4, 12, 10, 2, 10, 9, 14, 11, 6, 11, 9, 4, 15, 9, 7, 0, 15, 8, 15, 10, 3, 0, 9, 11, 0, 15, 9, 12, 15, 13, 8, 2, 3, 5, 7, 2, 12, 2, 3, 10, 10, 13, 5, 8, 15, 11, 2, 16},
+	{12, 11},
+	{12, 11, 4, 4, 2, 9, 7, 9, 5, 8, 12, 8, 2, 15, 14, 8, 0, 15, 11, 8, 8, 2, 15, 2, 12, 8, 10, 0, 8, 5, 10, 3, 8, 5, 5, 6, 2, 4, 7, 11, 3, 12, 3, 15, 6, 6, 5, 14, 12, 10, 3, 8, 2, 13, 2, 7, 14, 2, 6, 14, 3, 11, 11, 12, 16},
+	{12, 12},
+	{12, 12, 14, 4, 6, 2, 0, 4, 11, 10, 10, 8, 6, 15, 7, 3, 3, 10, 11, 15, 2, 0, 8, 11, 3, 5, 8, 11, 10, 8, 11, 8, 0, 7, 0, 8, 1, 13, 6, 13, 4, 6, 10, 4, 0, 7, 7, 4, 5, 2, 3, 8, 10, 14, 15, 2, 12, 1, 3, 3, 15, 13, 4, 13, 16},
+	{12, 14},
+	{12, 14, 9, 0, 3, 11, 10, 5, 7, 4, 14, 15, 9, 9, 9, 9, 5, 1, 5, 2, 13, 14, 5, 1, 2, 12, 15, 11, 2, 11, 0, 13, 13, 11, 9, 0, 11, 7, 2, 13, 2, 5, 12, 1, 9, 9, 0, 14, 2, 14, 11, 10, 3, 0, 7, 12, 0, 8, 11, 6, 7, 12, 12, 3, 16},
+	{13},
+	{13, 2},
+	{13, 2, 0},
+	{13, 2, 0, 7, 11, 0, 5, 11, 6, 8, 4, 11, 10, 1, 8, 3, 6, 1, 13, 15, 8, 14, 8, 1, 14, 8, 4, 6, 13, 1, 0, 3, 6, 5, 15, 15, 12, 15, 0, 4, 15, 7, 8, 4, 0, 4, 0, 3, 12, 5, 11, 10, 12, 15, 7, 7, 10, 13, 13, 4, 12, 5, 0, 15, 16},
+	{13, 2, 2},
+	{13, 2, 2, 2, 1, 2, 5, 7, 2, 4, 11, 9, 13, 15, 1, 15, 4, 10, 9, 2, 14, 1, 2, 8, 4, 13, 11, 12, 8, 7, 1, 10, 9, 1, 5, 6, 12, 2, 5, 3, 5, 7, 2, 13, 15, 0, 10, 3, 8, 10, 14, 1, 4, 6, 10, 12, 0, 3, 11, 6, 2, 10, 15, 4, 16},
+	{13, 2, 4},
+	{13, 2, 4, 14, 8, 15, 15, 15, 2, 0, 12, 5, 3, 1, 7, 0, 7, 4, 12, 5, 4, 15, 13, 5, 4, 12, 10, 9, 15, 1, 15, 12, 8, 15, 14, 15, 3, 6, 11, 11, 7, 0, 12, 4, 4, 11, 5, 5, 15, 9, 0, 10, 7, 0, 12, 6, 2, 1, 11, 9, 1, 15, 9, 10, 16},
+	{13, 3},
+	{13, 3, 7},
+	{13, 3, 7, 4, 7, 6, 10, 1, 7, 8, 14, 14, 6, 8, 11, 0, 2, 11, 3, 13, 14, 0, 14, 13, 14, 14, 1, 14, 11, 11, 5, 7, 14, 1, 6, 3, 8, 14, 14, 11, 15, 5, 8, 11, 3, 14, 2, 5, 6, 3, 2, 2, 14, 0, 13, 10, 1, 1, 8, 9, 15, 2, 7, 2, 16},
+	{13, 3, 10},
+	{13, 3, 10, 7, 14, 5, 9, 15, 8, 8, 8, 10, 7, 10, 12, 0, 7, 10, 2, 1, 1, 12, 7, 1, 7, 12, 0, 7, 11, 8, 2, 9, 7, 0, 13, 9, 4, 5, 9, 7, 15, 6, 3, 6, 5, 12, 15, 8, 12, 9, 3, 13, 5, 1, 10, 12, 9, 13, 4, 5, 12, 5, 9, 7, 16},
+	{13, 5},
+	{13, 5, 2, 6, 8, 8, 10, 8, 15, 9, 2, 6, 12, 8, 1, 6, 12, 10, 1, 14, 0, 7, 9, 0, 6, 7, 12, 10, 11, 10, 9, 4, 4, 15, 1, 5, 8, 14, 7, 6, 4, 8, 1, 7, 11, 8, 3, 15, 12, 4, 3, 5, 9, 4, 3, 7, 0, 12, 10, 9, 12, 15, 6, 2, 16},
+	{13, 8},
+	{13, 8, 1},
+	{13, 8, 1, 12, 5, 13, 5, 5, 9, 11, 10, 8, 7, 0, 14, 9, 0, 10, 2, 11, 6, 1, 7, 12, 15, 0, 5, 4, 2, 6, 9, 5, 14, 9, 10, 6, 2, 6, 6, 1, 9, 11, 5, 9, 1, 4, 8, 11, 4, 0, 2, 9, 5, 10, 0, 11, 10, 5, 5, 12, 10, 6, 6, 14, 16},
+	{13, 8, 15},
+	{13, 8, 15, 15, 12, 11, 12, 0, 11, 14, 3, 8, 3, 0, 6, 14, 5, 3, 9, 13, 10, 6, 1, 6, 1, 6, 1, 12, 6, 4, 14, 15, 7, 11, 12, 0, 15, 0, 2, 8, 1, 13, 6, 2, 14, 5, 2, 9, 6, 11, 12, 8, 14, 11, 6, 14, 10, 7, 0, 9, 12, 11, 0, 11, 16},
+	{13, 9},
+	{13, 9, 0},
+	{13, 9, 0, 11, 12, 13, 14, 12, 11, 4, 4, 10, 3, 4, 0, 2, 14, 2, 10, 1, 11, 5, 13, 3, 10, 3, 2, 1, 11, 5, 1, 14, 4, 1, 5, 14, 2, 9, 8, 14, 11, 10, 12, 10, 3, 12, 9, 5, 13, 9, 1, 4, 4, 3, 10, 13, 12, 0, 3, 15, 6, 12, 14, 12, 16},
+	{13, 9, 14},
+	{13, 9, 14, 13, 3, 5, 8, 5, 2, 6, 5, 0, 15, 2, 8, 13, 7, 10, 8, 15, 7, 3, 12, 7, 11, 10, 4, 9, 11, 12, 13, 7, 2, 13, 9, 7, 14, 13, 15, 8, 13, 7, 3, 1, 7, 9, 7, 14, 5, 10, 2, 7, 2, 8, 5, 5, 9, 11, 8, 6, 5, 5, 5, 2, 16},
+	{13, 10},
+	{13, 10, 0, 13, 7, 15, 12, 0, 5, 12, 3, 2, 11, 11, 11, 10, 1, 6, 5, 1, 8, 15, 9, 15, 2, 9, 3, 6, 15, 13, 7, 5, 1, 4, 0, 13, 5, 12, 9, 9, 11, 9, 5, 10, 14, 5, 3, 6, 2, 0, 5, 11, 10, 9, 12, 10, 15, 1, 8, 6, 8, 3, 7, 8, 16},
+	{13, 12},
+	{13, 12, 8},
+	{13, 12, 8, 8, 2, 9, 2, 6, 1, 11, 6, 11, 15, 13, 5, 3, 10, 11, 7, 13, 10, 10, 12, 3, 0, 5, 12, 2, 10, 13, 0, 14, 13, 1, 5, 4, 2, 3, 2, 3, 4, 1, 2, 8, 11, 13, 12, 5, 11, 8, 6, 10, 2, 14, 9, 14, 10, 15, 6, 1, 5, 7, 14, 4, 16},
+	{13, 12, 11},
+	{13, 12, 11, 10, 13, 7, 10, 12, 12, 8, 15, 15, 4, 11, 11, 5, 5, 6, 2, 13, 12, 1, 10, 3, 7, 14, 8, 7, 2, 4, 4, 13, 15, 1, 1, 14, 13, 7, 5, 4, 15, 8, 15, 2, 5, 14, 11, 11, 6, 15, 12, 2, 3, 3, 2, 0, 14, 5, 2, 6, 8, 11, 3, 15, 16},
+	{13, 13},
+	{13, 13, 7},
+	{13, 13, 7, 10, 13, 9, 6, 7, 3, 15, 8, 2, 3, 4, 4, 4, 14, 5, 1, 9, 4, 13, 5, 10, 11, 0, 14, 12, 10, 9, 10, 1, 15, 11, 7, 11, 13, 3, 7, 7, 0, 13, 0, 15, 13, 12, 6, 2, 12, 14, 3, 14, 1, 8, 0, 0, 3, 7, 1, 5, 8, 7, 7, 3, 16},
+	{13, 13, 12},
+	{13, 13, 12, 4, 8, 10, 15, 11, 13, 11, 1, 6, 6, 1, 12, 8, 7, 8, 9, 11, 4, 4, 7, 15, 5, 8, 1, 10, 14, 0, 7, 14, 11, 1, 8, 6, 3, 11, 2, 4, 14, 5, 0, 8, 6, 5, 13, 15, 10, 12, 10, 12, 15, 0, 10, 14, 15, 7, 10, 4, 15, 9, 13, 12, 16},
+	{13, 14},
+	{13, 14, 6, 14, 6, 15, 12, 10, 14, 15, 12, 3, 9, 15, 0, 5, 14, 5, 9, 1, 2, 0, 1, 4, 0, 9, 3, 15, 3, 8, 9, 2, 6, 9, 8, 7, 11, 11, 7, 11, 1, 2, 5, 14, 5, 1, 11, 4, 9, 13, 13, 15, 11, 4, 9, 11, 0, 3, 14, 3, 6, 12, 5, 0, 16},
+	{14},
+	{14, 0},
+	{14, 0, 1, 5, 13, 2, 14, 4, 12, 0, 8, 5, 2, 9, 1, 6, 1, 1, 2, 9, 8, 4, 6, 0, 6, 0, 2, 11, 9, 1, 3, 11, 5, 15, 1, 9, 2, 7, 2, 7, 1, 5, 15, 12, 10, 10, 4, 8, 2, 5, 8, 14, 15, 14, 2, 4, 12, 15, 2, 1, 8, 8, 5, 14, 16},
+	{14, 1},
+	{14, 1, 14, 2, 3, 6, 9, 0, 14, 8, 9, 0, 12, 13, 14, 12, 6, 14, 11, 1, 9, 11, 0, 6, 15, 5, 13, 3, 1, 13, 4, 2, 2, 11, 5, 12, 1, 7, 11, 13, 4, 12, 4, 3, 5, 10, 15, 11, 2, 10, 2, 5, 3, 2, 1, 8, 0, 0, 1, 1, 4, 5, 3, 15, 16},
+	{14, 2},
+	{14, 2, 2},
+	{14, 2, 2, 13, 4, 9, 6, 12, 4, 2, 5, 4, 7, 9, 10, 12, 11, 4, 4, 5, 12, 4, 0, 4, 0, 11, 13, 11, 5, 14, 1, 7, 15, 10, 4, 6, 1, 13, 14, 1, 7, 5, 14, 10, 10, 10, 7, 7, 10, 10, 7, 9, 14, 2, 3, 11, 5, 11, 1, 9, 15, 7, 6, 1, 16},
+	{14, 2, 12},
+	{14, 2, 12, 8, 11, 11, 15, 9, 6, 2, 12, 3, 0, 10, 15, 14, 9, 12, 3, 5, 14, 9, 13, 7, 14, 0, 3, 6, 14, 15, 4, 9, 6, 11, 5, 2, 12, 11, 7, 7, 0, 12, 6, 4, 5, 10, 7, 6, 15, 2, 12, 14, 14, 5, 15, 8, 8, 1, 1, 10, 9, 8, 3, 0, 16},
+	{14, 3},
+	{14, 3, 6, 12, 0, 15, 1, 5, 4, 10, 3, 6, 5, 14, 0, 8, 6, 12, 6, 8, 7, 0, 5, 0, 12, 14, 14, 7, 4, 11, 13, 13, 13, 14, 9, 9, 9, 7, 10, 1, 13, 14, 13, 14, 11, 0, 14, 5, 5, 2, 1, 7, 3, 6, 8, 12, 0, 10, 11, 6, 11, 10, 10, 4, 16},
+	{14, 4},
+	{14, 4, 2, 9, 5, 12, 5, 10, 10, 0, 4, 3, 10, 6, 0, 13, 2, 7, 9, 8, 5, 4, 15, 7, 4, 2, 4, 14, 2, 1, 2, 5, 0, 13, 5, 12, 1, 14, 1, 15, 9, 9, 5, 9, 5, 4, 9, 14, 9, 0, 11, 12, 9, 2, 6, 13, 7, 0, 14, 9, 7, 0, 6, 8, 16},
+	{14, 5},
+	{14, 5, 5, 11, 7, 3, 4, 13, 15, 3, 5, 10, 11, 6, 13, 5, 7, 6, 6, 0, 7, 14, 0, 1, 12, 4, 2, 15, 2, 1, 13, 2, 7, 5, 12, 13, 9, 12, 0, 15, 8, 6, 15, 11, 11, 3, 1, 0, 0, 2, 4, 1, 10, 1, 4, 11, 10, 0, 12, 7, 6, 7, 2, 15, 16},
+	{14, 6},
+	{14, 6, 9},
+	{14, 6, 9, 0, 11, 2, 3, 9, 11, 10, 3, 10, 10, 15, 9, 9, 3, 14, 4, 4, 3, 10, 14, 1, 4, 10, 14, 15, 15, 12, 4, 4, 12, 15, 8, 13, 9, 9, 3, 1, 10, 7, 9, 11, 10, 14, 13, 9, 15, 10, 1, 4, 1, 13, 0, 14, 4, 5, 0, 6, 14, 1, 3, 1, 16},
+	{14, 6, 12},
+	{14, 6, 12, 0, 5, 12, 2, 14, 11, 10, 12, 6, 8, 13, 15, 1, 1, 0, 11, 9, 9, 6, 6, 12, 11, 15, 9, 2, 4, 1, 4, 10, 6, 13, 13, 12, 15, 3, 11, 6, 7, 15, 12, 7, 7, 9, 0, 1, 10, 5, 15, 10, 0, 4, 9, 13, 10, 0, 12, 15, 11, 1, 0, 9, 16},
+	{14, 7},
+	{14, 7, 4},
+	{14, 7, 4, 8, 3, 2, 0, 14, 13, 12, 6, 10, 9, 12, 3, 0, 13, 2, 4, 9, 13, 7, 5, 10, 15, 7, 4, 10, 1, 9, 10, 13, 14, 7, 15, 6, 9, 12, 5, 6, 14, 5, 14, 0, 13, 3, 10, 9, 10, 13, 11, 1, 7, 15, 14, 14, 1, 11, 0, 10, 4, 11, 14, 15, 16},
+	{14, 7, 12},
+	{14, 7, 12, 15, 1, 8, 11, 9, 6, 10, 1, 12, 1, 2, 5, 0, 7, 12, 9, 10, 9, 5, 11, 7, 15, 4, 8, 12, 3, 14, 0, 1, 2, 6, 5, 1, 7, 9, 3, 10, 1, 9, 6, 12, 14, 2, 11, 8, 1, 10, 10, 10, 6, 12, 11, 1, 8, 5, 13, 12, 0, 3, 11, 6, 16},
+	{14, 8},
+	{14, 8, 3},
+	{14, 8, 3, 12, 2, 12, 5, 6, 15, 3, 5, 1, 13, 8, 12, 2, 5, 8, 6, 3, 10, 5, 5, 14, 12, 14, 9, 3, 8, 15, 15, 12, 11, 6, 12, 13, 15, 2, 9, 7, 8, 14, 11, 3, 4, 14, 10, 1, 10, 1, 9, 5, 9, 1, 8, 8, 4, 13, 3, 8, 8, 5, 15, 3, 16},
+	{14, 8, 12},
+	{14, 8, 12, 0},
+	{14, 8, 12, 0, 7, 11, 10, 11, 8, 8, 2, 2, 14, 14, 14, 11, 8, 7, 5, 2, 3, 6, 14, 1, 4, 8, 15, 7, 8, 1, 3, 4, 1, 1, 5, 7, 15, 9, 11, 15, 12, 5, 6, 12, 1, 12, 5, 3, 9, 7, 2, 4, 8, 9, 15, 15, 4, 0, 0, 9, 6, 9, 5, 11, 16},
+	{14, 8, 12, 6},
+	{14, 8, 12, 6, 11, 4, 1, 0, 14, 2, 9, 8, 4, 11, 14, 3, 11, 14, 13, 9, 10, 8, 4, 11, 7, 6, 15, 11, 11, 13, 6, 4, 7, 15, 5, 15, 10, 5, 6, 14, 6, 5, 14, 3, 6, 12, 2, 6, 4, 9, 0, 3, 2, 7, 5, 10, 10, 2, 2, 12, 13, 11, 0, 13, 16},
+	{14, 10},
+	{14, 10, 6},
+	{14, 10, 6, 7, 4, 14, 6, 0, 3, 15, 6, 0, 11, 10, 1, 14, 2, 5, 2, 4, 1, 9, 13, 8, 6, 13, 0, 4, 8, 5, 15, 13, 3, 15, 4, 6, 12, 10, 6, 10, 11, 11, 15, 4, 12, 6, 5, 10, 15, 14, 14, 0, 10, 9, 11, 10, 2, 9, 0, 5, 9, 6, 5, 5, 16},
+	{14, 10, 12},
+	{14, 10, 12, 11, 11, 8, 6, 14, 12, 5, 1, 8, 11, 10, 10, 7, 1, 0, 13, 14, 10, 5, 14, 13, 9, 8, 6, 1, 6, 2, 15, 2, 1, 13, 15, 2, 10, 9, 8, 13, 2, 1, 1, 9, 15, 6, 12, 10, 12, 11, 11, 0, 1, 14, 8, 13, 9, 10, 7, 7, 10, 6, 2, 9, 16},
+	{14, 11},
+	{14, 11, 8},
+	{14, 11, 8, 8, 5, 15, 10, 3, 7, 14, 15, 7, 14, 6, 8, 6, 10, 7, 15, 8, 13, 13, 3, 13, 9, 0, 0, 4, 13, 14, 5, 5, 5, 5, 2, 6, 3, 1, 0, 14, 7, 8, 13, 12, 11, 15, 8, 5, 7, 12, 9, 11, 0, 10, 3, 1, 14, 4, 0, 11, 9, 7, 3, 6, 16},
+	{14, 11, 13},
+	{14, 11, 13, 4, 13, 9, 6, 4, 13, 15, 1, 9, 12, 1, 5, 9, 8, 13, 3, 12, 14, 8, 3, 5, 4, 4, 9, 8, 15, 4, 15, 0, 12, 10, 13, 11, 3, 9, 13, 7, 0, 0, 10, 15, 1, 5, 11, 10, 6, 10, 4, 2, 15, 8, 15, 6, 4, 4, 4, 12, 2, 7, 13, 0, 16},
+	{14, 12},
+	{14, 12, 10, 6, 12, 13, 13, 9, 7, 6, 8, 0, 9, 0, 15, 9, 0, 9, 6, 0, 12, 15, 9, 11, 10, 13, 4, 7, 7, 0, 5, 12, 10, 3, 11, 1, 9, 10, 5, 4, 12, 8, 14, 12, 8, 1, 8, 6, 14, 2, 9, 8, 7, 15, 15, 13, 13, 3, 10, 8, 4, 3, 5, 11, 16},
+	{14, 14},
+	{14, 14, 3},
+	{14, 14, 3, 1, 7, 10, 7, 2, 12, 6, 6, 0, 4, 14, 9, 14, 4, 10, 11, 12, 11, 10, 1, 10, 13, 9, 13, 6, 1, 5, 9, 10, 0, 0, 13, 9, 1, 6, 8, 5, 5, 8, 11, 14, 8, 1, 9, 14, 4, 3, 9, 3, 9, 3, 6, 10, 10, 1, 14, 14, 14, 4, 3, 2, 16},
+	{14, 14, 9},
+	{14, 14, 9, 13, 6, 9, 15, 0, 2, 13, 1, 2, 4, 5, 9, 8, 5, 12, 10, 11, 3, 14, 13, 8, 1, 6, 11, 12, 8, 6, 1, 7, 7, 12, 8, 3, 14, 0, 7, 0, 1, 12, 12, 5, 5, 1, 5, 13, 14, 9, 9, 3, 2, 10, 10, 0, 6, 5, 8, 8, 6, 4, 0, 7, 16},
+	{15},
+	{15, 0},
+	{15, 0, 3, 13, 11, 4, 15, 6, 1, 5, 4, 7, 12, 9, 13, 8, 12, 5, 8, 11, 4, 15, 3, 7, 15, 8, 4, 15, 7, 4, 14, 15, 15, 7, 6, 7, 12, 2, 4, 12, 15, 8, 1, 11, 9, 5, 7, 6, 6, 2, 14, 9, 6, 6, 2, 2, 15, 2, 10, 12, 4, 13, 1, 9, 16},
+	{15, 5},
+	{15, 5, 11},
+	{15, 5, 11, 6, 9, 3, 0, 8, 5, 11, 14, 11, 2, 1, 11, 0, 8, 7, 8, 12, 7, 14, 5, 15, 10, 11, 7, 5, 1, 9, 12, 14, 0, 13, 6, 1, 0, 5, 3, 5, 4, 12, 15, 6, 7, 4, 4, 13, 11, 15, 11, 7, 3, 14, 3, 7, 4, 5, 14, 9, 2, 9, 14, 4, 16},
+	{15, 5, 13},
+	{15, 5, 13, 15, 0, 14, 14, 4, 7, 10, 3, 0, 14, 15, 11, 9, 10, 0, 6, 13, 11, 3, 15, 9, 12, 8, 0, 5, 5, 5, 13, 8, 6, 7, 8, 1, 15, 8, 12, 3, 5, 15, 13, 1, 1, 1, 12, 4, 6, 11, 15, 5, 6, 14, 7, 3, 7, 2, 9, 8, 7, 2, 2, 12, 16},
+	{15, 6},
+	{15, 6, 7, 15, 4, 7, 0, 13, 15, 1, 5, 12, 8, 8, 11, 9, 11, 14, 10, 15, 3, 15, 10, 13, 7, 2, 8, 9, 0, 10, 6, 4, 15, 8, 8, 5, 1, 13, 0, 1, 14, 12, 14, 5, 4, 6, 11, 0, 12, 9, 15, 11, 3, 11, 13, 15, 9, 2, 0, 4, 1, 10, 3, 5, 16},
+	{15, 9},
+	{15, 9, 0},
+	{15, 9, 0, 8, 13, 7, 8, 5, 12, 14, 15, 1, 10, 11, 12, 9, 15, 12, 14, 10, 5, 5, 12, 0, 7, 4, 9, 0, 13, 1, 6, 11, 4, 8, 2, 5, 14, 8, 10, 6, 10, 7, 12, 8, 15, 11, 1, 5, 7, 14, 13, 2, 9, 0, 0, 11, 15, 4, 10, 15, 5, 8, 11, 9, 16},
+	{15, 9, 2},
+	{15, 9, 2, 15, 9, 9, 1, 1, 14, 6, 13, 5, 11, 4, 0, 14, 4, 6, 15, 5, 7, 4, 13, 11, 0, 10, 4, 0, 6, 13, 3, 6, 0, 15, 9, 1, 12, 8, 13, 14, 8, 4, 2, 13, 14, 13, 4, 8, 12, 8, 12, 6, 9, 9, 0, 8, 0, 9, 8, 5, 11, 4, 12, 15, 16},
+	{15, 9, 3},
+	{15, 9, 3, 13, 4, 4, 7, 15, 12, 15, 8, 6, 15, 8, 4, 7, 14, 6, 6, 0, 9, 11, 15, 11, 3, 1, 0, 0, 10, 10, 5, 13, 0, 7, 13, 15, 3, 7, 15, 2, 12, 7, 2, 12, 11, 12, 4, 9, 6, 1, 14, 3, 10, 0, 15, 8, 6, 10, 7, 12, 2, 4, 11, 7, 16},
+	{15, 11},
+	{15, 11, 1},
+	{15, 11, 1, 13, 6, 7, 9, 7, 7, 9, 6, 10, 13, 9, 14, 13, 13, 1, 11, 8, 11, 4, 1, 0, 3, 0, 0, 3, 5, 10, 0, 0, 3, 14, 11, 6, 2, 8, 6, 10, 14, 2, 15, 12, 1, 10, 8, 2, 9, 6, 11, 5, 0, 9, 8, 9, 1, 10, 12, 15, 10, 0, 3, 3, 16},
+	{15, 11, 6},
+	{15, 11, 6, 10, 11, 5, 1, 1, 12, 15, 5, 11, 12, 11, 1, 5, 7, 15, 8, 3, 3, 2, 4, 1, 14, 7, 4, 14, 10, 13, 7, 1, 2, 8, 10, 2, 1, 8, 1, 8, 12, 2, 11, 5, 0, 8, 0, 11, 14, 2, 1, 14, 14, 9, 15, 8, 5, 15, 15, 5, 13, 5, 2, 3, 16},
+	{15, 12},
+	{15, 12, 3},
+	{15, 12, 3, 9, 11, 11, 12, 15, 0, 8, 8, 1, 8, 14, 12, 3, 3, 2, 9, 14, 5, 7, 6, 9, 13, 15, 15, 3, 15, 11, 13, 10, 13, 6, 6, 14, 6, 3, 1, 2, 10, 9, 6, 1, 10, 12, 11, 3, 2, 12, 1, 11, 2, 0, 3, 14, 13, 15, 7, 0, 10, 14, 11, 10, 16},
+	{15, 12, 14},
+	{15, 12, 14, 2},
+	{15, 12, 14, 2, 1, 0, 2, 5, 1, 6, 1, 8, 9, 8, 12, 7, 3, 15, 3, 8, 14, 7, 1, 14, 6, 11, 0, 2, 1, 7, 6, 8, 4, 10, 14, 11, 4, 15, 10, 12, 7, 12, 4, 9, 3, 15, 2, 10, 0, 2, 6, 8, 4, 14, 13, 0, 3, 13, 1, 11, 2, 8, 11, 9, 16},
+	{15, 12, 14, 7},
+	{15, 12, 14, 7, 3, 2, 1, 15, 2, 7, 8, 10, 2, 9, 7, 3, 11, 15, 5, 12, 6, 7, 7, 5, 7, 14, 10, 7, 6, 9, 0, 6, 4, 9, 2, 9, 5, 13, 5, 3, 9, 6, 7, 13, 10, 10, 3, 10, 14, 8, 5, 8, 6, 9, 5, 11, 14, 3, 3, 6, 10, 11, 14, 2, 16},
+	{15, 12, 14, 13},
+	{15, 12, 14, 13, 3, 4, 0, 8, 8, 5, 8, 2, 11, 4, 10, 7, 8, 15, 6, 1, 1, 12, 7, 3, 6, 6, 1, 9, 5, 14, 3, 14, 9, 4, 15, 9, 0, 8, 0, 6, 3, 7, 15, 4, 1, 0, 4, 11, 11, 11, 13, 0, 13, 0, 7, 15, 15, 11, 7, 8, 3, 13, 4, 9, 16},
+	{15, 13},
+	{15, 13, 15, 10, 12, 15, 5, 4, 8, 3, 15, 13, 13, 10, 2, 15, 12, 9, 8, 13, 0, 8, 11, 12, 12, 14, 1, 10, 6, 8, 13, 5, 13, 3, 0, 8, 13, 3, 10, 13, 8, 8, 14, 14, 2, 1, 11, 5, 0, 0, 0, 4, 15, 13, 6, 9, 4, 11, 10, 6, 15, 8, 0, 5, 16},
+	{15, 14},
+	{15, 14, 6, 10, 5, 8, 2, 0, 7, 7, 5, 0, 1, 9, 7, 15, 4, 8, 12, 11, 9, 0, 8, 6, 4, 0, 9, 6, 8, 5, 0, 2, 5, 9, 8, 4, 5, 12, 2, 12, 8, 14, 9, 0, 12, 7, 4, 4, 3, 3, 3, 2, 5, 12, 0, 11, 1, 4, 4, 11, 15, 8, 11, 11, 16},
+	{15, 15},
+	{15, 15, 15, 10, 0, 14, 10, 14, 2, 6, 8, 0, 3, 8, 12, 15, 10, 9, 8, 4, 6, 4, 7, 10, 1, 13, 0, 6, 3, 5, 11, 14, 11, 8, 6, 14, 13, 10, 9, 15, 11, 7, 11, 5, 0, 0, 6, 8, 8, 15, 3, 1, 8, 9, 5, 2, 0, 12, 15, 10, 9, 14, 14, 5, 16},
+}

go.mod

@@ -1,53 +1,68 @@
 module github.com/cerc-io/eth-testing
 
-go 1.19
+go 1.21
 
-require github.com/ethereum/go-ethereum v1.11.6
+toolchain go1.22.3
+
+require github.com/ethereum/go-ethereum v1.13.14
 
 require (
 	github.com/DataDog/zstd v1.5.2 // indirect
-	github.com/StackExchange/wmi v0.0.0-20180116203802-5d049714c4a6 // indirect
-	github.com/VictoriaMetrics/fastcache v1.6.0 // indirect
+	github.com/Microsoft/go-winio v0.6.1 // indirect
+	github.com/StackExchange/wmi v1.2.1 // indirect
+	github.com/VictoriaMetrics/fastcache v1.12.1 // indirect
 	github.com/beorn7/perks v1.0.1 // indirect
+	github.com/bits-and-blooms/bitset v1.10.0 // indirect
 	github.com/btcsuite/btcd/btcec/v2 v2.2.0 // indirect
 	github.com/cespare/xxhash/v2 v2.2.0 // indirect
 	github.com/cockroachdb/errors v1.9.1 // indirect
 	github.com/cockroachdb/logtags v0.0.0-20230118201751-21c54148d20b // indirect
-	github.com/cockroachdb/pebble v0.0.0-20230209160836-829675f94811 // indirect
+	github.com/cockroachdb/pebble v0.0.0-20230928194634-aa077af62593 // indirect
 	github.com/cockroachdb/redact v1.1.3 // indirect
+	github.com/cockroachdb/tokenbucket v0.0.0-20230807174530-cc333fc44b06 // indirect
+	github.com/consensys/bavard v0.1.13 // indirect
+	github.com/consensys/gnark-crypto v0.12.1 // indirect
+	github.com/crate-crypto/go-ipa v0.0.0-20231025140028-3c0104f4b233 // indirect
+	github.com/crate-crypto/go-kzg-4844 v0.7.0 // indirect
 	github.com/deckarep/golang-set/v2 v2.1.0 // indirect
 	github.com/decred/dcrd/dcrec/secp256k1/v4 v4.0.1 // indirect
-	github.com/edsrzf/mmap-go v1.0.0 // indirect
+	github.com/ethereum/c-kzg-4844 v0.4.0 // indirect
+	github.com/gballet/go-verkle v0.1.1-0.20231031103413-a67434b50f46 // indirect
 	github.com/getsentry/sentry-go v0.18.0 // indirect
-	github.com/go-ole/go-ole v1.2.1 // indirect
-	github.com/go-stack/stack v1.8.1 // indirect
+	github.com/go-ole/go-ole v1.3.0 // indirect
 	github.com/gofrs/flock v0.8.1 // indirect
 	github.com/gogo/protobuf v1.3.2 // indirect
-	github.com/golang/protobuf v1.5.2 // indirect
+	github.com/golang/protobuf v1.5.3 // indirect
 	github.com/golang/snappy v0.0.5-0.20220116011046-fa5810519dcb // indirect
 	github.com/gorilla/websocket v1.4.2 // indirect
 	github.com/holiman/bloomfilter/v2 v2.0.3 // indirect
-	github.com/holiman/uint256 v1.2.2-0.20230321075855-87b91420868c // indirect
+	github.com/holiman/uint256 v1.2.4 // indirect
 	github.com/klauspost/compress v1.15.15 // indirect
 	github.com/kr/pretty v0.3.1 // indirect
 	github.com/kr/text v0.2.0 // indirect
-	github.com/mattn/go-runewidth v0.0.9 // indirect
+	github.com/mattn/go-runewidth v0.0.13 // indirect
 	github.com/matttproud/golang_protobuf_extensions v1.0.4 // indirect
+	github.com/mmcloughlin/addchain v0.4.0 // indirect
 	github.com/olekukonko/tablewriter v0.0.5 // indirect
 	github.com/pkg/errors v0.9.1 // indirect
 	github.com/prometheus/client_golang v1.14.0 // indirect
 	github.com/prometheus/client_model v0.3.0 // indirect
 	github.com/prometheus/common v0.39.0 // indirect
 	github.com/prometheus/procfs v0.9.0 // indirect
+	github.com/rivo/uniseg v0.2.0 // indirect
 	github.com/rogpeppe/go-internal v1.9.0 // indirect
 	github.com/shirou/gopsutil v3.21.4-0.20210419000835-c7a38de76ee5+incompatible // indirect
+	github.com/supranational/blst v0.3.11 // indirect
 	github.com/syndtr/goleveldb v1.0.1-0.20210819022825-2ae1ddf74ef7 // indirect
-	github.com/tklauser/go-sysconf v0.3.5 // indirect
-	github.com/tklauser/numcpus v0.2.2 // indirect
-	golang.org/x/crypto v0.1.0 // indirect
-	golang.org/x/exp v0.0.0-20230206171751-46f607a40771 // indirect
-	golang.org/x/sys v0.6.0 // indirect
-	golang.org/x/text v0.8.0 // indirect
+	github.com/tklauser/go-sysconf v0.3.12 // indirect
+	github.com/tklauser/numcpus v0.6.1 // indirect
+	golang.org/x/crypto v0.17.0 // indirect
+	golang.org/x/exp v0.0.0-20231110203233-9a3e6036ecaa // indirect
+	golang.org/x/mod v0.14.0 // indirect
+	golang.org/x/sync v0.5.0 // indirect
+	golang.org/x/sys v0.16.0 // indirect
+	golang.org/x/text v0.14.0 // indirect
+	golang.org/x/tools v0.15.0 // indirect
 	google.golang.org/protobuf v1.28.1 // indirect
-	gopkg.in/natefinch/npipe.v2 v2.0.0-20160621034901-c1b8fa8bdcce // indirect
+	rsc.io/tmplfunc v0.0.3 // indirect
 )

go.sum

@@ -6,11 +6,13 @@ github.com/CloudyKit/jet/v3 v3.0.0/go.mod h1:HKQPgSJmdK8hdoAbKUUWajkHyHo4RaU5rMd
 github.com/DataDog/zstd v1.5.2 h1:vUG4lAyuPCXO0TLbXvPv7EB7cNK1QV/luu55UHLrrn8=
 github.com/DataDog/zstd v1.5.2/go.mod h1:g4AWEaM3yOg3HYfnJ3YIawPnVdXJh9QME85blwSAmyw=
 github.com/Joker/hpp v1.0.0/go.mod h1:8x5n+M1Hp5hC0g8okX3sR3vFQwynaX/UgSOM9MeBKzY=
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@@ -111,9 +129,9 @@ github.com/golang/protobuf v1.4.0/go.mod h1:jodUvKwWbYaEsadDk5Fwe5c77LiNKVO9IDvq
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@@ -125,8 +143,10 @@ github.com/google/go-cmp v0.4.0/go.mod h1:v8dTdLbMG2kIc/vJvl+f65V22dbkXbowE6jgT/
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@@ -136,8 +156,8 @@ github.com/hashicorp/go-version v1.2.0/go.mod h1:fltr4n8CU8Ke44wwGCBoEymUuxUHl09
 github.com/hashicorp/hcl v1.0.0/go.mod h1:E5yfLk+7swimpb2L/Alb/PJmXilQ/rhwaUYs4T20WEQ=
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 github.com/holiman/bloomfilter/v2 v2.0.3/go.mod h1:zpoh+gs7qcpqrHr3dB55AMiJwo0iURXE7ZOP9L9hSkA=
-github.com/holiman/uint256 v1.2.2-0.20230321075855-87b91420868c h1:DZfsyhDK1hnSS5lH8l+JggqzEleHteTYfutAiVlSUM8=
-github.com/holiman/uint256 v1.2.2-0.20230321075855-87b91420868c/go.mod h1:SC8Ryt4n+UBbPbIBKaG9zbbDlp4jOru9xFZmPzLUTxw=
+github.com/holiman/uint256 v1.2.4 h1:jUc4Nk8fm9jZabQuqr2JzednajVmBpC+oiTiXZJEApU=
+github.com/holiman/uint256 v1.2.4/go.mod h1:EOMSn4q6Nyt9P6efbI3bueV4e1b3dGlUCXeiRV4ng7E=
 github.com/hpcloud/tail v1.0.0/go.mod h1:ab1qPbhIpdTxEkNHXyeSf5vhxWSCs/tWer42PpOxQnU=
 github.com/hydrogen18/memlistener v0.0.0-20200120041712-dcc25e7acd91/go.mod h1:qEIFzExnS6016fRpRfxrExeVn2gbClQA99gQhnIcdhE=
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@@ -172,8 +192,11 @@ github.com/kr/text v0.1.0/go.mod h1:4Jbv+DJW3UT/LiOwJeYQe1efqtUx/iVham/4vfdArNI=
 github.com/kr/text v0.2.0 h1:5Nx0Ya0ZqY2ygV366QzturHI13Jq95ApcVaJBhpS+AY=
 github.com/kr/text v0.2.0/go.mod h1:eLer722TekiGuMkidMxC/pM04lWEeraHUUmBw8l2grE=
 github.com/kylelemons/godebug v1.1.0 h1:RPNrshWIDI6G2gRW9EHilWtl7Z6Sb1BR0xunSBf0SNc=
+github.com/kylelemons/godebug v1.1.0/go.mod h1:9/0rRGxNHcop5bhtWyNeEfOS8JIWk580+fNqagV/RAw=
 github.com/labstack/echo/v4 v4.5.0/go.mod h1:czIriw4a0C1dFun+ObrXp7ok03xON0N1awStJ6ArI7Y=
 github.com/labstack/gommon v0.3.0/go.mod h1:MULnywXg0yavhxWKc+lOruYdAhDwPK9wf0OL7NoOu+k=
+github.com/leanovate/gopter v0.2.9 h1:fQjYxZaynp97ozCzfOyOuAGOU4aU/z37zf/tOujFk7c=
+github.com/leanovate/gopter v0.2.9/go.mod h1:U2L/78B+KVFIx2VmW6onHJQzXtFb+p5y3y2Sh+Jxxv8=
 github.com/magiconair/properties v1.8.0/go.mod h1:PppfXfuXeibc/6YijjN8zIbojt8czPbwD3XqdrwzmxQ=
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 github.com/mattn/go-colorable v0.1.8/go.mod h1:u6P/XSegPjTcexA+o6vUJrdnUu04hMope9wVRipJSqc=
@@ -183,8 +206,9 @@ github.com/mattn/go-isatty v0.0.8/go.mod h1:Iq45c/XA43vh69/j3iqttzPXn0bhXyGjM0Hd
 github.com/mattn/go-isatty v0.0.9/go.mod h1:YNRxwqDuOph6SZLI9vUUz6OYw3QyUt7WiY2yME+cCiQ=
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-github.com/mattn/go-runewidth v0.0.9 h1:Lm995f3rfxdpd6TSmuVCHVb/QhupuXlYr8sCI/QdE+0=
 github.com/mattn/go-runewidth v0.0.9/go.mod h1:H031xJmbD/WCDINGzjvQ9THkh0rPKHF+m2gUSrubnMI=
+github.com/mattn/go-runewidth v0.0.13 h1:lTGmDsbAYt5DmK6OnoV7EuIF1wEIFAcxld6ypU4OSgU=
+github.com/mattn/go-runewidth v0.0.13/go.mod h1:Jdepj2loyihRzMpdS35Xk/zdY8IAYHsh153qUoGf23w=
 github.com/mattn/goveralls v0.0.2/go.mod h1:8d1ZMHsd7fW6IRPKQh46F2WRpyib5/X4FOpevwGNQEw=
 github.com/matttproud/golang_protobuf_extensions v1.0.4 h1:mmDVorXM7PCGKw94cs5zkfA9PSy5pEvNWRP0ET0TIVo=
 github.com/matttproud/golang_protobuf_extensions v1.0.4/go.mod h1:BSXmuO+STAnVfrANrmjBb36TMTDstsz7MSK+HVaYKv4=
@@ -192,6 +216,9 @@ github.com/mediocregopher/radix/v3 v3.4.2/go.mod h1:8FL3F6UQRXHXIBSPUs5h0RybMF8i
 github.com/microcosm-cc/bluemonday v1.0.2/go.mod h1:iVP4YcDBq+n/5fb23BhYFvIMq/leAFZyRl6bYmGDlGc=
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 github.com/mitchellh/mapstructure v1.1.2/go.mod h1:FVVH3fgwuzCH5S8UJGiWEs2h04kUh9fWfEaFds41c1Y=
+github.com/mmcloughlin/addchain v0.4.0 h1:SobOdjm2xLj1KkXN5/n0xTIWyZA2+s99UCY1iPfkHRY=
+github.com/mmcloughlin/addchain v0.4.0/go.mod h1:A86O+tHqZLMNO4w6ZZ4FlVQEadcoqkyU72HC5wJ4RlU=
+github.com/mmcloughlin/profile v0.1.1/go.mod h1:IhHD7q1ooxgwTgjxQYkACGA77oFTDdFVejUS1/tS/qU=
 github.com/modern-go/concurrent v0.0.0-20180228061459-e0a39a4cb421/go.mod h1:6dJC0mAP4ikYIbvyc7fijjWJddQyLn8Ig3JB5CqoB9Q=
 github.com/modern-go/concurrent v0.0.0-20180306012644-bacd9c7ef1dd/go.mod h1:6dJC0mAP4ikYIbvyc7fijjWJddQyLn8Ig3JB5CqoB9Q=
 github.com/modern-go/reflect2 v0.0.0-20180701023420-4b7aa43c6742/go.mod h1:bx2lNnkwVCuqBIxFjflWJWanXIb3RllmbCylyMrvgv0=
@@ -231,6 +258,8 @@ github.com/prometheus/common v0.39.0 h1:oOyhkDq05hPZKItWVBkJ6g6AtGxi+fy7F4JvUV8u
 github.com/prometheus/common v0.39.0/go.mod h1:6XBZ7lYdLCbkAVhwRsWTZn+IN5AB9F/NXd5w0BbEX0Y=
 github.com/prometheus/procfs v0.9.0 h1:wzCHvIvM5SxWqYvwgVL7yJY8Lz3PKn49KQtpgMYJfhI=
 github.com/prometheus/procfs v0.9.0/go.mod h1:+pB4zwohETzFnmlpe6yd2lSc+0/46IYZRB/chUwxUZY=
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@@ -256,13 +285,16 @@ github.com/stretchr/testify v1.3.0/go.mod h1:M5WIy9Dh21IEIfnGCwXGc5bZfKNJtfHm1UV
 github.com/stretchr/testify v1.4.0/go.mod h1:j7eGeouHqKxXV5pUuKE4zz7dFj8WfuZ+81PSLYec5m4=
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-github.com/stretchr/testify v1.8.0 h1:pSgiaMZlXftHpm5L7V1+rVB+AZJydKsMxsQBIJw4PKk=
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@@ -292,11 +324,11 @@ golang.org/x/crypto v0.0.0-20191227163750-53104e6ec876/go.mod h1:LzIPMQfyMNhhGPh
 golang.org/x/crypto v0.0.0-20200622213623-75b288015ac9/go.mod h1:LzIPMQfyMNhhGPhUkYOs5KpL4U8rLKemX1yGLhDgUto=
 golang.org/x/crypto v0.0.0-20210322153248-0c34fe9e7dc2/go.mod h1:T9bdIzuCu7OtxOm1hfPfRQxPLYneinmdGuTeoZ9dtd4=
 golang.org/x/crypto v0.0.0-20210921155107-089bfa567519/go.mod h1:GvvjBRRGRdwPK5ydBHafDWAxML/pGHZbMvKqRZ5+Abc=
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-golang.org/x/crypto v0.1.0/go.mod h1:RecgLatLF4+eUMCP1PoPZQb+cVrJcOPbHkTkbkB9sbw=
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 golang.org/x/lint v0.0.0-20181026193005-c67002cb31c3/go.mod h1:UVdnD1Gm6xHRNCYTkRU2/jEulfH38KcIWyp/GAMgvoE=
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@@ -305,6 +337,8 @@ golang.org/x/mod v0.1.1-0.20191105210325-c90efee705ee/go.mod h1:QqPTAvyqsEbceGzB
 golang.org/x/mod v0.2.0/go.mod h1:s0Qsj1ACt9ePp/hMypM3fl4fZqREWJwdYDEqhRiZZUA=
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 golang.org/x/mod v0.4.2/go.mod h1:s0Qsj1ACt9ePp/hMypM3fl4fZqREWJwdYDEqhRiZZUA=
+golang.org/x/mod v0.14.0 h1:dGoOF9QVLYng8IHTm7BAyWqCqSheQ5pYWGhzW00YJr0=
+golang.org/x/mod v0.14.0/go.mod h1:hTbmBsO62+eylJbnUtE2MGJUyE7QWk4xUqPFrRgJ+7c=
 golang.org/x/net v0.0.0-20180724234803-3673e40ba225/go.mod h1:mL1N/T3taQHkDXs73rZJwtUhF3w3ftmwwsq0BUmARs4=
 golang.org/x/net v0.0.0-20180826012351-8a410e7b638d/go.mod h1:mL1N/T3taQHkDXs73rZJwtUhF3w3ftmwwsq0BUmARs4=
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@@ -324,7 +358,8 @@ golang.org/x/net v0.0.0-20201021035429-f5854403a974/go.mod h1:sp8m0HH+o8qH0wwXwY
 golang.org/x/net v0.0.0-20210226172049-e18ecbb05110/go.mod h1:m0MpNAwzfU5UDzcl9v0D8zg8gWTRqZa9RBIspLL5mdg=
 golang.org/x/net v0.0.0-20210405180319-a5a99cb37ef4/go.mod h1:p54w0d4576C0XHj96bSt6lcn1PtDYWL6XObtHCRCNQM=
 golang.org/x/net v0.0.0-20211008194852-3b03d305991f/go.mod h1:9nx3DQGgdP8bBQD5qxJ1jj9UTztislL4KSBs9R2vV5Y=
-golang.org/x/net v0.8.0 h1:Zrh2ngAOFYneWTAIAPethzeaQLuHwhuBkuV6ZiRnUaQ=
+golang.org/x/net v0.18.0 h1:mIYleuAkSbHh0tCv7RvjL3F6ZVbLjq4+R7zbOn3Kokg=
+golang.org/x/net v0.18.0/go.mod h1:/czyP5RqHAH4odGYxBJ1qz0+CE5WZ+2j1YgoEo8F2jQ=
 golang.org/x/oauth2 v0.0.0-20180821212333-d2e6202438be/go.mod h1:N/0e6XlmueqKjAGxoOufVs8QHGRruUQn6yWY3a++T0U=
 golang.org/x/sync v0.0.0-20180314180146-1d60e4601c6f/go.mod h1:RxMgew5VJxzue5/jJTE5uejpjVlOe/izrB70Jof72aM=
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@@ -334,7 +369,8 @@ golang.org/x/sync v0.0.0-20190423024810-112230192c58/go.mod h1:RxMgew5VJxzue5/jJ
 golang.org/x/sync v0.0.0-20190911185100-cd5d95a43a6e/go.mod h1:RxMgew5VJxzue5/jJTE5uejpjVlOe/izrB70Jof72aM=
 golang.org/x/sync v0.0.0-20201020160332-67f06af15bc9/go.mod h1:RxMgew5VJxzue5/jJTE5uejpjVlOe/izrB70Jof72aM=
 golang.org/x/sync v0.0.0-20210220032951-036812b2e83c/go.mod h1:RxMgew5VJxzue5/jJTE5uejpjVlOe/izrB70Jof72aM=
-golang.org/x/sync v0.1.0 h1:wsuoTGHzEhffawBOhz5CYhcrV4IdKZbEyZjBMuTp12o=
+golang.org/x/sync v0.5.0 h1:60k92dhOjHxJkrqnwsfl8KuaHbn/5dl0lUPUklKo3qE=
+golang.org/x/sync v0.5.0/go.mod h1:Czt+wKu1gCyEFDUtn0jG5QVvpJ6rzVqr5aXyt9drQfk=
 golang.org/x/sys v0.0.0-20180830151530-49385e6e1522/go.mod h1:STP8DvDyc/dI5b8T5hshtkjS+E42TnysNCUPdjciGhY=
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@@ -344,6 +380,7 @@ golang.org/x/sys v0.0.0-20190412213103-97732733099d/go.mod h1:h1NjWce9XRLGQEsW7w
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+golang.org/x/sys v0.0.0-20190916202348-b4ddaad3f8a3/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs=
 golang.org/x/sys v0.0.0-20191005200804-aed5e4c7ecf9/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs=
 golang.org/x/sys v0.0.0-20191120155948-bd437916bb0e/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs=
 golang.org/x/sys v0.0.0-20200116001909-b77594299b42/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs=
@@ -353,8 +390,6 @@ golang.org/x/sys v0.0.0-20200519105757-fe76b779f299/go.mod h1:h1NjWce9XRLGQEsW7w
 golang.org/x/sys v0.0.0-20200814200057-3d37ad5750ed/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs=
 golang.org/x/sys v0.0.0-20200930185726-fdedc70b468f/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs=
 golang.org/x/sys v0.0.0-20201119102817-f84b799fce68/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs=
-golang.org/x/sys v0.0.0-20210316164454-77fc1eacc6aa/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs=
-golang.org/x/sys v0.0.0-20210324051608-47abb6519492/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs=
 golang.org/x/sys v0.0.0-20210330210617-4fbd30eecc44/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs=
 golang.org/x/sys v0.0.0-20210403161142-5e06dd20ab57/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs=
 golang.org/x/sys v0.0.0-20210423082822-04245dca01da/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs=
@@ -364,8 +399,12 @@ golang.org/x/sys v0.0.0-20210630005230-0f9fa26af87c/go.mod h1:oPkhp1MJrh7nUepCBc
 golang.org/x/sys v0.0.0-20210927094055-39ccf1dd6fa6/go.mod h1:oPkhp1MJrh7nUepCBck5+mAzfO9JrbApNNgaTdGDITg=
 golang.org/x/sys v0.0.0-20211007075335-d3039528d8ac/go.mod h1:oPkhp1MJrh7nUepCBck5+mAzfO9JrbApNNgaTdGDITg=
 golang.org/x/sys v0.0.0-20220209214540-3681064d5158/go.mod h1:oPkhp1MJrh7nUepCBck5+mAzfO9JrbApNNgaTdGDITg=
-golang.org/x/sys v0.6.0 h1:MVltZSvRTcU2ljQOhs94SXPftV6DCNnZViHeQps87pQ=
-golang.org/x/sys v0.6.0/go.mod h1:oPkhp1MJrh7nUepCBck5+mAzfO9JrbApNNgaTdGDITg=
+golang.org/x/sys v0.1.0/go.mod h1:oPkhp1MJrh7nUepCBck5+mAzfO9JrbApNNgaTdGDITg=
+golang.org/x/sys v0.5.0/go.mod h1:oPkhp1MJrh7nUepCBck5+mAzfO9JrbApNNgaTdGDITg=
+golang.org/x/sys v0.8.0/go.mod h1:oPkhp1MJrh7nUepCBck5+mAzfO9JrbApNNgaTdGDITg=
+golang.org/x/sys v0.11.0/go.mod h1:oPkhp1MJrh7nUepCBck5+mAzfO9JrbApNNgaTdGDITg=
+golang.org/x/sys v0.16.0 h1:xWw16ngr6ZMtmxDyKyIgsE93KNKz5HKmMa3b8ALHidU=
+golang.org/x/sys v0.16.0/go.mod h1:/VUhepiaJMQUp4+oa/7Zr1D23ma6VTLIYjOOTFZPUcA=
 golang.org/x/term v0.0.0-20201126162022-7de9c90e9dd1/go.mod h1:bj7SfCRtBDWHUb9snDiAeCFNEtKQo2Wmx5Cou7ajbmo=
 golang.org/x/text v0.3.0/go.mod h1:NqM8EUOU14njkJ3fqMW+pc6Ldnwhi/IjpwHt7yyuwOQ=
 golang.org/x/text v0.3.2/go.mod h1:bEr9sfX3Q8Zfm5fL9x+3itogRgK3+ptLWKqgva+5dAk=
@@ -373,8 +412,8 @@ golang.org/x/text v0.3.3/go.mod h1:5Zoc/QRtKVWzQhOtBMvqHzDpF6irO9z98xDceosuGiQ=
 golang.org/x/text v0.3.5/go.mod h1:5Zoc/QRtKVWzQhOtBMvqHzDpF6irO9z98xDceosuGiQ=
 golang.org/x/text v0.3.6/go.mod h1:5Zoc/QRtKVWzQhOtBMvqHzDpF6irO9z98xDceosuGiQ=
 golang.org/x/text v0.3.7/go.mod h1:u+2+/6zg+i71rQMx5EYifcz6MCKuco9NR6JIITiCfzQ=
-golang.org/x/text v0.8.0 h1:57P1ETyNKtuIjB4SRd15iJxuhj8Gc416Y78H3qgMh68=
-golang.org/x/text v0.8.0/go.mod h1:e1OnstbJyHTd6l/uOt8jFFHp6TRDWZR/bV3emEE/zU8=
+golang.org/x/text v0.14.0 h1:ScX5w1eTa3QqT8oi6+ziP7dTV1S2+ALU0bI+0zXKWiQ=
+golang.org/x/text v0.14.0/go.mod h1:18ZOQIKpY8NJVqYksKHtTdi31H5itFRjB5/qKTNYzSU=
 golang.org/x/time v0.0.0-20201208040808-7e3f01d25324/go.mod h1:tRJNPiyCQ0inRvYxbN9jk5I+vvW/OXSQhTDSoE431IQ=
 golang.org/x/tools v0.0.0-20180917221912-90fa682c2a6e/go.mod h1:n7NCudcB/nEzxVGmLbDWY5pfWTLqBcC2KZ6jyYvM4mQ=
 golang.org/x/tools v0.0.0-20181221001348-537d06c36207/go.mod h1:n7NCudcB/nEzxVGmLbDWY5pfWTLqBcC2KZ6jyYvM4mQ=
@@ -389,11 +428,13 @@ golang.org/x/tools v0.0.0-20200130002326-2f3ba24bd6e7/go.mod h1:TB2adYChydJhpapK
 golang.org/x/tools v0.0.0-20200619180055-7c47624df98f/go.mod h1:EkVYQZoAsY45+roYkvgYkIh4xh/qjgUK9TdY2XT94GE=
 golang.org/x/tools v0.0.0-20210106214847-113979e3529a/go.mod h1:emZCQorbCU4vsT4fOWvOPXz4eW1wZW4PmDk9uLelYpA=
 golang.org/x/tools v0.1.3/go.mod h1:o0xws9oXOQQZyjljx8fwUC0k7L1pTE6eaCbjGeHmOkk=
+golang.org/x/tools v0.15.0 h1:zdAyfUGbYmuVokhzVmghFl2ZJh5QhcfebBgmVPFYA+8=
+golang.org/x/tools v0.15.0/go.mod h1:hpksKq4dtpQWS1uQ61JkdqWM3LscIS6Slf+VVkm+wQk=
 golang.org/x/xerrors v0.0.0-20190717185122-a985d3407aa7/go.mod h1:I/5z698sn9Ka8TeJc9MKroUUfqBBauWjQqLJ2OPfmY0=
 golang.org/x/xerrors v0.0.0-20191011141410-1b5146add898/go.mod h1:I/5z698sn9Ka8TeJc9MKroUUfqBBauWjQqLJ2OPfmY0=
 golang.org/x/xerrors v0.0.0-20191204190536-9bdfabe68543/go.mod h1:I/5z698sn9Ka8TeJc9MKroUUfqBBauWjQqLJ2OPfmY0=
+golang.org/x/xerrors v0.0.0-20200804184101-5ec99f83aff1 h1:go1bK/D/BFZV2I8cIQd1NKEZ+0owSTG1fDTci4IqFcE=
 golang.org/x/xerrors v0.0.0-20200804184101-5ec99f83aff1/go.mod h1:I/5z698sn9Ka8TeJc9MKroUUfqBBauWjQqLJ2OPfmY0=
-golang.org/x/xerrors v0.0.0-20220517211312-f3a8303e98df h1:5Pf6pFKu98ODmgnpvkJ3kFUOQGGLIzLIkbzUHp47618=
 google.golang.org/appengine v1.1.0/go.mod h1:EbEs0AVv82hx2wNQdGPgUI5lhzA/G0D9YwlJXL52JkM=
 google.golang.org/appengine v1.4.0/go.mod h1:xpcJRLb0r/rnEns0DIKYYv+WjYCduHsrkT7/EB5XEv4=
 google.golang.org/genproto v0.0.0-20180518175338-11a468237815/go.mod h1:JiN7NxoALGmiZfu7CAH4rXhgtRTLTxftemlI0sWmxmc=
@@ -424,23 +465,26 @@ gopkg.in/check.v1 v0.0.0-20161208181325-20d25e280405/go.mod h1:Co6ibVJAznAaIkqp8
 gopkg.in/check.v1 v1.0.0-20180628173108-788fd7840127/go.mod h1:Co6ibVJAznAaIkqp8huTwlJQCZ016jof/cbN4VW5Yz0=
 gopkg.in/check.v1 v1.0.0-20190902080502-41f04d3bba15/go.mod h1:Co6ibVJAznAaIkqp8huTwlJQCZ016jof/cbN4VW5Yz0=
 gopkg.in/check.v1 v1.0.0-20201130134442-10cb98267c6c h1:Hei/4ADfdWqJk1ZMxUNpqntNwaWcugrBjAiHlqqRiVk=
+gopkg.in/check.v1 v1.0.0-20201130134442-10cb98267c6c/go.mod h1:JHkPIbrfpd72SG/EVd6muEfDQjcINNoR0C8j2r3qZ4Q=
 gopkg.in/errgo.v2 v2.1.0/go.mod h1:hNsd1EY+bozCKY1Ytp96fpM3vjJbqLJn88ws8XvfDNI=
 gopkg.in/fsnotify.v1 v1.4.7/go.mod h1:Tz8NjZHkW78fSQdbUxIjBTcgA1z1m8ZHf0WmKUhAMys=
 gopkg.in/go-playground/assert.v1 v1.2.1/go.mod h1:9RXL0bg/zibRAgZUYszZSwO/z8Y/a8bDuhia5mkpMnE=
 gopkg.in/go-playground/validator.v8 v8.18.2/go.mod h1:RX2a/7Ha8BgOhfk7j780h4/u/RRjR0eouCJSH80/M2Y=
 gopkg.in/ini.v1 v1.51.1/go.mod h1:pNLf8WUiyNEtQjuu5G5vTm06TEv9tsIgeAvK8hOrP4k=
 gopkg.in/mgo.v2 v2.0.0-20180705113604-9856a29383ce/go.mod h1:yeKp02qBN3iKW1OzL3MGk2IdtZzaj7SFntXj72NppTA=
-gopkg.in/natefinch/npipe.v2 v2.0.0-20160621034901-c1b8fa8bdcce h1:+JknDZhAj8YMt7GC73Ei8pv4MzjDUNPHgQWJdtMAaDU=
-gopkg.in/natefinch/npipe.v2 v2.0.0-20160621034901-c1b8fa8bdcce/go.mod h1:5AcXVHNjg+BDxry382+8OKon8SEWiKktQR07RKPsv1c=
 gopkg.in/tomb.v1 v1.0.0-20141024135613-dd632973f1e7 h1:uRGJdciOHaEIrze2W8Q3AKkepLTh2hOroT7a+7czfdQ=
 gopkg.in/tomb.v1 v1.0.0-20141024135613-dd632973f1e7/go.mod h1:dt/ZhP58zS4L8KSrWDmTeBkI65Dw0HsyUHuEVlX15mw=
 gopkg.in/yaml.v2 v2.2.2/go.mod h1:hI93XBmqTisBFMUTm0b8Fm+jr3Dg1NNxqwp+5A1VGuI=
 gopkg.in/yaml.v2 v2.2.4/go.mod h1:hI93XBmqTisBFMUTm0b8Fm+jr3Dg1NNxqwp+5A1VGuI=
 gopkg.in/yaml.v2 v2.3.0/go.mod h1:hI93XBmqTisBFMUTm0b8Fm+jr3Dg1NNxqwp+5A1VGuI=
 gopkg.in/yaml.v2 v2.4.0 h1:D8xgwECY7CYvx+Y2n4sBz93Jn9JRvxdiyyo8CTfuKaY=
+gopkg.in/yaml.v2 v2.4.0/go.mod h1:RDklbk79AGWmwhnvt/jBztapEOGDOx6ZbXqjP6csGnQ=
 gopkg.in/yaml.v3 v3.0.0-20191120175047-4206685974f2/go.mod h1:K4uyk7z7BCEPqu6E+C64Yfv1cQ7kz7rIZviUmN+EgEM=
 gopkg.in/yaml.v3 v3.0.0-20200313102051-9f266ea9e77c/go.mod h1:K4uyk7z7BCEPqu6E+C64Yfv1cQ7kz7rIZviUmN+EgEM=
 gopkg.in/yaml.v3 v3.0.0-20210107192922-496545a6307b/go.mod h1:K4uyk7z7BCEPqu6E+C64Yfv1cQ7kz7rIZviUmN+EgEM=
 gopkg.in/yaml.v3 v3.0.1 h1:fxVm/GzAzEWqLHuvctI91KS9hhNmmWOoWu0XTYJS7CA=
+gopkg.in/yaml.v3 v3.0.1/go.mod h1:K4uyk7z7BCEPqu6E+C64Yfv1cQ7kz7rIZviUmN+EgEM=
 honnef.co/go/tools v0.0.0-20190102054323-c2f93a96b099/go.mod h1:rf3lG4BRIbNafJWhAfAdb/ePZxsR/4RtNHQocxwk9r4=
 honnef.co/go/tools v0.0.0-20190523083050-ea95bdfd59fc/go.mod h1:rf3lG4BRIbNafJWhAfAdb/ePZxsR/4RtNHQocxwk9r4=
+rsc.io/tmplfunc v0.0.3 h1:53XFQh69AfOa8Tw0Jm7t+GV7KZhOi6jzsCzTtKbMvzU=
+rsc.io/tmplfunc v0.0.3/go.mod h1:AG3sTPzElb1Io3Yg4voV9AGZJuleGAwaVRxL9M49PhA=

utils/encoding.go

@@ -0,0 +1,74 @@
+package utils
+
+// HexToCompact converts a hex path to the compact encoded format
+func HexToCompact(hex []byte) []byte {
+	return hexToCompact(hex)
+}
+
+func hexToCompact(hex []byte) []byte {
+	terminator := byte(0)
+	if hasTerm(hex) {
+		terminator = 1
+		hex = hex[:len(hex)-1]
+	}
+	buf := make([]byte, len(hex)/2+1)
+	buf[0] = terminator << 5 // the flag byte
+	if len(hex)&1 == 1 {
+		buf[0] |= 1 << 4 // odd flag
+		buf[0] |= hex[0] // first nibble is contained in the first byte
+		hex = hex[1:]
+	}
+	decodeNibbles(hex, buf[1:])
+	return buf
+}
+
+// CompactToHex converts a compact encoded path to hex format
+func CompactToHex(compact []byte) []byte {
+	if len(compact) == 0 {
+		return compact
+	}
+	base := KeybytesToHex(compact)
+	// delete terminator flag
+	if base[0] < 2 {
+		base = base[:len(base)-1]
+	}
+	// apply odd flag
+	chop := 2 - base[0]&1
+	return base[chop:]
+}
+
+func KeybytesToHex(str []byte) []byte {
+	l := len(str)*2 + 1
+	var nibbles = make([]byte, l)
+	for i, b := range str {
+		nibbles[i*2] = b / 16
+		nibbles[i*2+1] = b % 16
+	}
+	nibbles[l-1] = 16
+	return nibbles
+}
+
+// HexToKeyBytes turns hex nibbles into key bytes.
+// This can only be used for keys of even length.
+func HexToKeyBytes(hex []byte) []byte {
+	if hasTerm(hex) {
+		hex = hex[:len(hex)-1]
+	}
+	if len(hex)&1 != 0 {
+		panic("can't convert hex key of odd length")
+	}
+	key := make([]byte, len(hex)/2)
+	decodeNibbles(hex, key)
+	return key
+}
+
+func decodeNibbles(nibbles []byte, bytes []byte) {
+	for bi, ni := 0, 0; ni < len(nibbles); bi, ni = bi+1, ni+2 {
+		bytes[bi] = nibbles[ni]<<4 | nibbles[ni+1]
+	}
+}
+
+// hasTerm returns whether a hex key has the terminator flag.
+func hasTerm(s []byte) bool {
+	return len(s) > 0 && s[len(s)-1] == 16
+}