16 Commits
Author SHA1 Message Date
roysc 29c99ddf6a Add fixture chain configs (#8)
Test / Run unit tests (push) Successful in 3m53s
For easier processing with chain-chunker.

Reviewed-on: #8
2024-07-10 09:06:46 +00:00
roysc 86dcba21d9 Downgrade Geth to 1.13.14 (#7)
Test / Run unit tests (push) Successful in 3m42s
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
2024-07-09 06:43:35 +00:00
roysc 88b1330e13 Add post-Merge fixtures and refactor (#6)
Test / Run unit tests (push) Successful in 3m42s
- Add `postmerge1` chaindata
- Rename `small*` chaindata to `premerge*`
- Move chains into `chains` sub package (avoids having a non-data directory named `chaindata`)
- Add unit test Gitea workflow
- Update geth to 1.14.5

Reviewed-on: #6
2024-07-08 06:35:28 +00:00
roysc 56d0602878 Update Geth to 1.13 (#5)
Reviewed-on: #5
2024-03-30 08:48:57 +00:00
telackey d204dbe488 Merge pull request 'Fix chaindata and add hardcoded paths' (#4) from fix-chaindata into main
Reviewed-on: #4
2023-09-25 22:51:53 +00:00
roysc 2ea71042e7 copy chaindata 2023-09-26 02:15:40 +08:00
roysc 271e59c1fe add small2.Block1_NodePaths 2023-09-26 01:44:53 +08:00
roysc 622a7a4719 add encoding utils 2023-09-26 01:44:53 +08:00
roysc 7cd43d1488 fix small2 2023-09-26 01:44:53 +08:00
roysc 2a4a36410a add leveldb log file 2023-09-26 01:44:53 +08:00
roysc e53d799563 more refactor 2023-09-26 01:44:50 +08:00
roysc 5076d731d7 ignore FLOCK 2023-09-22 17:14:34 +08:00
roysc c08e45c446 Refactor & replace fixture (#3)
The "medium" fixture contained missing nodes somewhere in the head block, so I've removed, and generated a new "small2" fixture. Also refactored a bit.

Reviewed-on: #3
2023-09-22 09:10:39 +00:00
roysc b31e88e6b9 Fix function, add basic tests (#2)
Reviewed-on: #2
2023-09-19 16:37:35 +00:00
roysc 6a292c3cdd Add test data & fixes (#1)
PR for tracking this new repo used to support refactors.
Used in
- cerc-io/plugeth-statediff#11
- cerc-io/eth-iterator-utils#1

Reviewed-on: #1
2023-09-19 12:26:15 +00:00
roysc cd5ea103dc Downgrade geth to v1.11.6 2023-09-06 21:11:24 +08:00
109 changed files with 3484 additions and 1310 deletions
+21
View File
@@ -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 ./...
+110
View File
@@ -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
}
+62
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@@ -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)
})
}
}
@@ -4,3 +4,4 @@
*/LOG
*/MANIFEST-*
*/ancient/FLOCK
*/ancient/chain/FLOCK
@@ -0,0 +1 @@
{"jsonrpc":"2.0","id":1,"result":"0xaa"}
@@ -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"}}
@@ -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
}
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@@ -0,0 +1 @@
MANIFEST-000012
@@ -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
@@ -0,0 +1 @@

@@ -0,0 +1 @@
{"jsonrpc":"2.0","id":1,"result":"0x20"}
@@ -0,0 +1,26 @@
{
"jsonrpc": "2.0",
"id": 1,
"result": {
"difficulty": "0x1",
"extraData": "0x0000000000000000000000000000000000000000000000000000000000000000dc7d7a8920c8eecc098da5b7522a5f31509b5bfc0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
"gasLimit": "0x7a1200",
"gasUsed": "0x0",
"hash": "0x37cbb63c7150a7b60f2878433963ed8ba7e5f82fb2683ec7a945c974e1cf4e05",
"logsBloom": "0x00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
"miner": "0x0000000000000000000000000000000000000000",
"mixHash": "0x0000000000000000000000000000000000000000000000000000000000000000",
"nonce": "0x0000000000000000",
"number": "0x0",
"parentHash": "0x0000000000000000000000000000000000000000000000000000000000000000",
"receiptsRoot": "0x56e81f171bcc55a6ff8345e692c0f86e5b48e01b996cadc001622fb5e363b421",
"sha3Uncles": "0x1dcc4de8dec75d7aab85b567b6ccd41ad312451b948a7413f0a142fd40d49347",
"size": "0x272",
"stateRoot": "0xf9b061564470224729393dc3363c75f0477af16fbb66e6e707b5348e19a18b1b",
"timestamp": "0x603eb748",
"totalDifficulty": "0x1",
"transactions": [],
"transactionsRoot": "0x56e81f171bcc55a6ff8345e692c0f86e5b48e01b996cadc001622fb5e363b421",
"uncles": []
}
}
+15
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@@ -0,0 +1,15 @@
{
"chainId": 41337,
"homesteadBlock": 0,
"eip150Block": 0,
"eip155Block": 0,
"eip158Block": 0,
"byzantiumBlock": 0,
"constantinopleBlock": 0,
"petersburgBlock": 0,
"istanbulBlock": 0,
"clique": {
"period": 5,
"epoch": 30000
}
}
+35
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@@ -0,0 +1,35 @@
{
"config": {
"chainId": 41337,
"homesteadBlock": 0,
"eip150Block": 0,
"eip155Block": 0,
"eip158Block": 0,
"byzantiumBlock": 0,
"constantinopleBlock": 0,
"petersburgBlock": 0,
"istanbulBlock": 0,
"clique": {
"period": 5,
"epoch": 30000
}
},
"nonce": "0x0",
"timestamp": "0x603eb748",
"extraData": "0x0000000000000000000000000000000000000000000000000000000000000000dc7d7a8920c8eecc098da5b7522a5f31509b5bfc0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
"gasLimit": "0x7a1200",
"difficulty": "0x1",
"mixHash": "0x0000000000000000000000000000000000000000000000000000000000000000",
"coinbase": "0x0000000000000000000000000000000000000000",
"alloc": {
"dc7d7a8920c8eecc098da5b7522a5f31509b5bfc": {
"balance": "0x1000000000000000000000000"
}
},
"number": "0x0",
"gasUsed": "0x0",
"parentHash": "0x0000000000000000000000000000000000000000000000000000000000000000",
"baseFeePerGas": null,
"excessBlobGas": null,
"blobGasUsed": null
}
@@ -0,0 +1 @@
MANIFEST-000005
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@@ -0,0 +1 @@
{"jsonrpc":"2.0","id":1,"result":"0x106"}
@@ -0,0 +1,26 @@
{
"jsonrpc": "2.0",
"id": 1,
"result": {
"difficulty": "0x1",
"extraData": "0x",
"gasLimit": "0x400000",
"gasUsed": "0x0",
"hash": "0x8a3c7cddacbd1ab4ec1b03805fa2a287f3a75e43d87f4f987fcc399f5c042614",
"logsBloom": "0x00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
"miner": "0x0000000000000000000000000000000000000000",
"mixHash": "0x0000000000000000000000000000000000000000000000000000000000000000",
"nonce": "0x0000000000001234",
"number": "0x0",
"parentHash": "0x0000000000000000000000000000000000000000000000000000000000000000",
"receiptsRoot": "0x56e81f171bcc55a6ff8345e692c0f86e5b48e01b996cadc001622fb5e363b421",
"sha3Uncles": "0x1dcc4de8dec75d7aab85b567b6ccd41ad312451b948a7413f0a142fd40d49347",
"size": "0x1f8",
"stateRoot": "0x151cf8db334cc8ca0ef46e1d52776f3c08db659d865b00967f5eee0a8b28a98b",
"timestamp": "0x0",
"totalDifficulty": "0x1",
"transactions": [],
"transactionsRoot": "0x56e81f171bcc55a6ff8345e692c0f86e5b48e01b996cadc001622fb5e363b421",
"uncles": []
}
}
+15
View File
@@ -0,0 +1,15 @@
{
"chainId": 1212,
"homesteadBlock": 1,
"eip150Block": 1,
"eip155Block": 1,
"eip158Block": 1,
"byzantiumBlock": 1,
"constantinopleBlock": 1,
"petersburgBlock": 1,
"istanbulBlock": 1,
"berlinBlock": 1,
"londonBlock": 1,
"mergeNetsplitBlock": 1,
"terminalTotalDifficulty": 1000
}
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MANIFEST-000004
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��
@@ -0,0 +1 @@
��
@@ -0,0 +1 @@
��
@@ -0,0 +1 @@
��
@@ -0,0 +1 @@
��
@@ -13,17 +13,20 @@ 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
var blocks []*types.Block
// LoadBlocks loads fixture blocks up to and including the passed height or the highest available block
func LoadBlocks(upto uint) []*types.Block {
if upto > LatestBlock {
upto = LatestBlock
func GetBlocks() []*types.Block {
if blocks != nil {
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)
@@ -36,11 +39,11 @@ func LoadBlocks(upto uint) []*types.Block {
panic("mainnet genesis blocks do not match")
}
blocks := make([]*types.Block, upto+1)
blocks := make([]*types.Block, LatestBlock+1)
blocks[0] = new(types.Block)
rlp.DecodeBytes(block0RLP, blocks[0])
for i := uint(1); i <= upto; i++ {
for i := uint(1); i <= LatestBlock; i++ {
blockRLP, err := loadBlockRLP(fmt.Sprintf("./block%d_rlp", i))
if err != nil {
panic(err)
+24
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@@ -0,0 +1,24 @@
package mainnet_test
import (
"testing"
"github.com/ethereum/go-ethereum/consensus/ethash"
"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/chains/mainnet"
)
func TestLoadChain(t *testing.T) {
db := rawdb.NewMemoryDatabase()
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:])
if err != nil {
t.Fatal(err)
}
}
+18
View File
@@ -0,0 +1,18 @@
// postmerge1 is the first fixture 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)
}
}
+16
View File
@@ -0,0 +1,16 @@
// premerge1 is from a Clique-based pre-Merge chain with a single genesis allocation.
package premerge1
import (
"github.com/cerc-io/eth-testing/chains"
)
var (
ChainData, err = chains.GetFixture("premerge1")
)
func init() {
if err != nil {
panic(err)
}
}
+27
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@@ -0,0 +1,27 @@
// premerge2 is from an Ethash-based pre-Merge chain.
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)
}
}
}
+629
View File
@@ -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},
{0, 7},
{0, 7, 12, 5, 7, 7, 8, 0, 13, 11, 2, 13, 0, 11, 8, 1, 2, 5, 8, 10, 13, 3, 11, 14, 5, 13, 15, 2, 12, 3, 10, 9, 14, 8, 9, 14, 4, 12, 0, 6, 11, 15, 10, 13, 13, 12, 3, 10, 1, 15, 4, 14, 3, 11, 9, 4, 0, 1, 2, 1, 5, 9, 4, 7, 16},
{0, 8},
{0, 8, 7},
{0, 8, 7, 15, 11, 1, 0, 8, 14, 6, 8, 3, 6, 10, 0, 8, 8, 14, 0, 6, 1, 5, 6, 11, 1, 10, 2, 6, 2, 1, 0, 13, 1, 15, 5, 2, 8, 4, 2, 9, 6, 11, 3, 0, 11, 0, 11, 11, 0, 11, 3, 13, 1, 12, 2, 10, 7, 14, 0, 1, 10, 12, 1, 1, 16},
{0, 8, 11},
{0, 8, 11, 3, 15, 9, 10, 9, 6, 11, 10, 11, 10, 1, 2, 15, 4, 7, 4, 3, 0, 15, 2, 11, 0, 14, 2, 8, 5, 1, 15, 4, 0, 7, 14, 8, 12, 10, 3, 5, 5, 11, 11, 8, 10, 9, 10, 6, 9, 2, 4, 2, 11, 12, 9, 9, 10, 14, 12, 12, 2, 12, 15, 3, 16},
{0, 9},
{0, 9, 9},
{0, 9, 9, 9, 15, 1, 8, 13, 14, 7, 7, 14, 9, 4, 5, 1, 8, 6, 7, 12, 11, 1, 9, 3, 5, 15, 9, 10, 12, 13, 5, 6, 15, 7, 9, 12, 11, 12, 1, 1, 13, 0, 4, 8, 2, 6, 12, 3, 13, 10, 6, 11, 4, 2, 0, 10, 4, 15, 4, 11, 11, 14, 2, 1, 16},
{0, 9, 10},
{0, 9, 10, 15, 9, 14, 7, 14, 10, 2, 3, 7, 0, 10, 11, 3, 14, 3, 14, 14, 7, 15, 0, 10, 4, 6, 5, 10, 7, 13, 10, 12, 11, 6, 12, 9, 11, 7, 14, 6, 5, 1, 9, 6, 13, 12, 4, 9, 6, 13, 5, 5, 7, 0, 10, 0, 13, 8, 0, 2, 0, 11, 13, 10, 16},
{0, 12},
{0, 12, 3, 10, 3, 12, 9, 9, 15, 3, 4, 10, 15, 14, 9, 13, 2, 12, 8, 12, 14, 12, 12, 9, 0, 5, 2, 4, 14, 15, 6, 3, 10, 15, 12, 9, 15, 12, 1, 3, 3, 8, 4, 13, 5, 13, 9, 3, 1, 2, 8, 1, 15, 4, 1, 4, 13, 5, 13, 4, 8, 7, 12, 0, 16},
{0, 13},
{0, 13, 2, 1, 14, 11, 4, 15, 7, 12, 2, 0, 2, 14, 14, 12, 12, 13, 6, 13, 8, 7, 6, 2, 7, 15, 3, 13, 5, 1, 2, 14, 6, 3, 0, 13, 4, 13, 0, 5, 5, 7, 8, 5, 8, 5, 8, 4, 7, 1, 6, 8, 7, 5, 8, 15, 13, 1, 10, 10, 14, 13, 2, 2, 16},
{0, 14},
{0, 14, 8, 2, 7, 1, 10, 4, 4, 12, 6, 3, 4, 11, 7, 15, 14, 13, 12, 13, 0, 0, 12, 11, 0, 9, 10, 15, 14, 10, 2, 10, 7, 0, 10, 12, 8, 3, 8, 0, 11, 6, 11, 15, 5, 15, 6, 1, 15, 15, 0, 7, 14, 7, 9, 3, 14, 14, 3, 15, 6, 13, 4, 12, 16},
{1},
{1, 2},
{1, 2, 5},
{1, 2, 5, 10, 13, 12, 6, 7, 14, 15, 14, 8, 11, 15, 6, 8, 0, 8, 12, 0, 2, 11, 13, 3, 10, 14, 2, 0, 2, 6, 2, 9, 5, 3, 11, 5, 14, 4, 5, 13, 10, 11, 4, 14, 11, 9, 3, 8, 6, 4, 4, 1, 12, 15, 6, 14, 12, 7, 3, 8, 1, 8, 4, 4, 16},
{1, 2, 7},
{1, 2, 7, 14, 12, 7, 0, 14, 10, 0, 13, 8, 10, 7, 11, 6, 2, 4, 4, 10, 14, 7, 13, 9, 5, 1, 11, 2, 2, 0, 4, 15, 7, 5, 3, 3, 6, 12, 15, 2, 1, 15, 4, 9, 13, 15, 6, 3, 7, 0, 10, 11, 9, 2, 0, 5, 3, 4, 12, 9, 5, 7, 2, 8, 16},
{1, 3},
{1, 3, 1},
{1, 3, 1, 8, 10, 4, 12, 2, 11, 12, 7, 3, 1, 7, 1, 8, 8, 5, 7, 2, 3, 8, 14, 12, 2, 12, 4, 2, 14, 4, 10, 9, 5, 12, 0, 10, 14, 11, 7, 2, 9, 0, 10, 6, 0, 12, 8, 10, 11, 11, 1, 1, 0, 12, 2, 14, 6, 3, 8, 3, 4, 1, 12, 2, 16},
{1, 3, 11},
{1, 3, 11, 8, 15, 5, 7, 5, 0, 9, 6, 1, 11, 5, 5, 8, 8, 11, 12, 6, 9, 15, 11, 13, 0, 11, 7, 0, 1, 4, 6, 1, 8, 5, 4, 14, 1, 1, 0, 15, 13, 7, 8, 12, 1, 4, 7, 6, 7, 5, 1, 5, 11, 13, 13, 8, 8, 2, 7, 2, 5, 9, 7, 5, 16},
{1, 4},
{1, 4, 6, 8, 2, 8, 8, 0, 5, 6, 3, 1, 0, 12, 8, 2, 10, 10, 4, 12, 0, 1, 10, 7, 14, 1, 2, 10, 1, 0, 15, 8, 1, 1, 1, 10, 0, 5, 6, 0, 14, 7, 2, 11, 7, 0, 0, 5, 5, 5, 4, 7, 9, 0, 3, 1, 11, 8, 6, 12, 3, 5, 7, 13, 16},
{1, 5},
{1, 5, 11},
{1, 5, 11, 3, 8, 1, 11, 5, 1, 8, 12, 6, 11, 7, 5, 4, 1, 8, 5, 13, 6, 9, 0, 3, 12, 10, 15, 1, 7, 11, 4, 15, 8, 13, 12, 3, 0, 11, 10, 11, 15, 14, 13, 15, 8, 0, 7, 2, 11, 1, 1, 8, 11, 11, 12, 3, 14, 14, 12, 3, 0, 1, 3, 15, 16},
{1, 5, 12},
{1, 5, 12, 5, 3, 12, 5, 8, 2, 2, 8, 4, 14, 12, 9, 3, 0, 7, 5, 0, 8, 4, 11, 10, 14, 0, 5, 3, 6, 11, 5, 10, 11, 7, 10, 14, 4, 4, 10, 4, 4, 14, 14, 2, 7, 1, 8, 4, 8, 9, 11, 7, 2, 11, 14, 3, 10, 10, 7, 8, 12, 3, 12, 7, 16},
{1, 5, 15},
{1, 5, 15, 14, 15, 14, 8, 6, 1, 3, 10, 1, 14, 6, 7, 3, 5, 6, 7, 10, 10, 12, 8, 3, 2, 9, 4, 15, 10, 0, 13, 10, 6, 13, 0, 4, 8, 14, 5, 12, 7, 6, 4, 2, 2, 2, 7, 0, 1, 7, 4, 4, 1, 12, 9, 15, 8, 9, 9, 15, 14, 13, 1, 11, 16},
{1, 6},
{1, 6, 2, 3, 8, 6, 11, 14, 0, 10, 5, 2, 5, 12, 5, 10, 9, 14, 6, 1, 1, 0, 12, 7, 2, 4, 4, 10, 3, 7, 5, 0, 3, 8, 12, 5, 2, 5, 15, 14, 1, 0, 2, 13, 15, 2, 2, 4, 2, 8, 6, 1, 6, 1, 11, 1, 2, 8, 9, 11, 12, 7, 1, 6, 16},
{1, 8},
{1, 8, 13, 12, 13, 4, 3, 5, 11, 15, 7, 13, 1, 8, 2, 0, 0, 8, 5, 15, 6, 12, 4, 6, 13, 5, 8, 7, 12, 10, 14, 6, 6, 9, 12, 10, 7, 12, 2, 13, 3, 10, 13, 4, 12, 14, 10, 9, 13, 11, 3, 2, 0, 10, 0, 11, 3, 12, 8, 11, 13, 2, 1, 13, 16},
{1, 10},
{1, 10, 6, 13, 9, 6, 7, 4, 10, 14, 12, 5, 12, 8, 3, 2, 9, 2, 5, 2, 12, 11, 6, 3, 4, 0, 2, 2, 3, 0, 8, 11, 15, 4, 12, 9, 8, 14, 7, 0, 14, 13, 14, 12, 6, 1, 3, 13, 9, 2, 5, 10, 11, 7, 8, 1, 4, 8, 3, 4, 4, 5, 10, 4, 16},
{1, 13},
{1, 13, 5, 0, 1, 3, 1, 11, 14, 8, 6, 8, 13, 14, 2, 7, 4, 1, 12, 11, 7, 7, 5, 13, 0, 15, 15, 8, 0, 0, 6, 3, 1, 15, 9, 6, 0, 6, 5, 15, 4, 0, 11, 6, 0, 8, 4, 5, 11, 12, 14, 7, 2, 14, 7, 8, 2, 7, 1, 8, 10, 15, 2, 3, 16},
{1, 14},
{1, 14, 2},
{1, 14, 2, 2, 7, 3, 3, 15, 1, 7, 3, 15, 11, 12, 9, 5, 15, 10, 0, 7, 9, 14, 13, 5, 0, 14, 12, 2, 4, 12, 4, 9, 8, 10, 8, 10, 10, 13, 2, 5, 1, 5, 13, 8, 2, 7, 14, 5, 15, 15, 8, 2, 0, 0, 12, 2, 4, 0, 14, 9, 12, 13, 12, 9, 16},
{1, 14, 11},
{1, 14, 11, 15, 13, 7, 13, 11, 11, 6, 8, 0, 4, 3, 5, 1, 8, 0, 4, 4, 4, 3, 13, 15, 0, 1, 10, 4, 8, 2, 14, 6, 4, 5, 1, 9, 1, 2, 11, 8, 8, 4, 12, 13, 2, 6, 11, 3, 1, 5, 0, 4, 11, 11, 7, 7, 11, 11, 14, 12, 9, 8, 6, 2, 16},
{1, 15},
{1, 15, 9},
{1, 15, 9, 9, 10, 15, 2, 13, 15, 2, 13, 10, 9, 12, 0, 1, 7, 6, 11, 13, 11, 3, 14, 9, 9, 5, 11, 13, 15, 10, 4, 7, 15, 15, 11, 15, 14, 6, 10, 3, 10, 10, 12, 15, 8, 14, 5, 4, 4, 0, 1, 15, 4, 13, 10, 12, 2, 14, 12, 14, 9, 3, 3, 8, 16},
{1, 15, 15},
{1, 15, 15, 15, 15, 1, 10, 4, 5, 5, 11, 6, 6, 13, 5, 2, 1, 0, 7, 10, 2, 6, 2, 3, 1, 15, 14, 14, 15, 11, 0, 15, 3, 5, 6, 5, 0, 6, 7, 14, 9, 5, 4, 4, 12, 15, 9, 4, 7, 0, 13, 9, 7, 5, 15, 0, 1, 1, 1, 1, 11, 1, 12, 15, 16},
{2},
{2, 0},
{2, 0, 9},
{2, 0, 9, 2, 11, 5, 6, 0, 2, 1, 2, 1, 12, 12, 4, 8, 4, 15, 10, 5, 5, 11, 9, 0, 12, 14, 10, 0, 11, 14, 1, 7, 13, 9, 3, 1, 1, 8, 4, 2, 6, 3, 9, 2, 5, 10, 8, 6, 4, 14, 0, 13, 5, 13, 4, 3, 10, 2, 0, 13, 6, 7, 11, 0, 16},
{2, 0, 14},
{2, 0, 14, 11, 15, 14, 15, 4, 3, 6, 3, 9, 2, 1, 5, 10, 14, 11, 3, 5, 14, 1, 14, 0, 0, 11, 12, 9, 6, 1, 7, 4, 15, 5, 2, 1, 5, 5, 10, 15, 11, 7, 8, 1, 6, 5, 9, 15, 3, 4, 6, 2, 8, 13, 1, 15, 3, 15, 7, 10, 14, 0, 1, 8, 16},
{2, 1},
{2, 1, 1},
{2, 1, 1, 2, 0, 14, 1, 11, 14, 0, 3, 13, 3, 8, 4, 14, 14, 3, 2, 10, 9, 11, 13, 7, 2, 6, 8, 5, 7, 8, 13, 8, 8, 2, 9, 15, 2, 7, 1, 5, 4, 0, 12, 8, 4, 8, 12, 9, 7, 10, 4, 9, 5, 9, 9, 0, 11, 12, 4, 8, 15, 5, 8, 2, 16},
{2, 1, 3},
{2, 1, 3, 9, 15, 10, 1, 10, 10, 10, 3, 13, 6, 0, 14, 5, 3, 13, 0, 7, 0, 13, 5, 10, 1, 15, 1, 10, 12, 9, 12, 8, 2, 1, 1, 15, 4, 1, 11, 2, 13, 13, 5, 10, 1, 8, 1, 3, 4, 1, 6, 12, 8, 4, 4, 7, 10, 7, 7, 5, 9, 5, 5, 7, 16},
{2, 1, 14},
{2, 1, 14, 10, 8, 11, 13, 15, 8, 10, 4, 14, 10, 6, 13, 12, 9, 14, 2, 0, 4, 5, 9, 1, 13, 8, 8, 12, 3, 11, 5, 11, 1, 9, 5, 3, 3, 13, 3, 3, 11, 15, 11, 12, 5, 9, 12, 0, 8, 12, 12, 10, 2, 6, 6, 12, 3, 12, 8, 7, 10, 9, 6, 0, 16},
{2, 5},
{2, 5, 8, 4, 8, 7, 15, 1, 13, 4, 8, 9, 4, 5, 12, 7, 7, 4, 3, 12, 4, 1, 2, 11, 0, 15, 0, 2, 6, 13, 7, 2, 2, 10, 4, 6, 4, 1, 13, 5, 9, 7, 8, 15, 1, 1, 10, 0, 11, 4, 4, 13, 11, 15, 7, 12, 1, 13, 2, 7, 4, 13, 4, 1, 16},
{2, 6},
{2, 6, 13, 11, 12, 12, 14, 1, 11, 5, 9, 9, 14, 11, 14, 13, 4, 6, 14, 2, 5, 6, 9, 5, 7, 9, 5, 6, 2, 0, 3, 1, 2, 5, 5, 14, 10, 9, 10, 1, 12, 1, 12, 5, 7, 5, 15, 13, 13, 13, 11, 0, 0, 0, 3, 15, 4, 13, 3, 8, 9, 1, 6, 5, 16},
{2, 9},
{2, 9, 1},
{2, 9, 1, 11, 6, 11, 11, 12, 10, 8, 7, 9, 13, 6, 8, 4, 3, 3, 7, 14, 14, 5, 14, 2, 11, 12, 10, 5, 13, 1, 8, 12, 15, 11, 2, 13, 3, 11, 7, 10, 9, 7, 12, 8, 1, 8, 7, 14, 7, 0, 3, 3, 0, 9, 5, 6, 4, 2, 8, 0, 2, 9, 5, 14, 16},
{2, 9, 7},
{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},
{2, 11, 7, 10, 15, 11, 11, 1, 4, 11, 4, 12, 9, 0, 2, 15, 3, 7, 1, 6, 3, 11, 1, 5, 15, 7, 0, 15, 14, 8, 3, 3, 5, 13, 14, 12, 4, 14, 2, 6, 15, 11, 10, 14, 4, 7, 1, 8, 12, 0, 3, 15, 1, 9, 13, 10, 5, 10, 14, 12, 11, 14, 8, 11, 16},
{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},
{2, 13, 1, 5, 14, 1, 14, 8, 2, 12, 10, 5, 0, 11, 7, 3, 3, 4, 11, 14, 8, 9, 9, 0, 11, 9, 3, 10, 8, 11, 0, 4, 3, 14, 7, 7, 1, 3, 4, 0, 12, 12, 9, 3, 9, 8, 11, 10, 10, 2, 3, 8, 4, 5, 7, 6, 3, 12, 6, 9, 6, 13, 2, 2, 16},
{2, 13, 15},
{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},
{3, 0},
{3, 0, 0},
{3, 0, 0, 13, 2, 13, 11, 14, 8, 3, 10, 6, 11, 10, 7, 15, 13, 7, 5, 7, 3, 7, 12, 8, 13, 7, 4, 5, 3, 13, 9, 8, 4, 14, 7, 9, 3, 8, 11, 10, 7, 10, 14, 1, 1, 3, 13, 3, 13, 10, 2, 10, 13, 7, 4, 3, 3, 0, 6, 1, 1, 5, 7, 11, 16},
{3, 0, 1},
{3, 0, 1, 9, 12, 0, 10, 9, 1, 11, 10, 3, 0, 13, 3, 4, 6, 10, 5, 5, 8, 9, 0, 11, 1, 11, 0, 7, 2, 8, 7, 13, 8, 10, 10, 14, 3, 5, 11, 10, 10, 8, 12, 4, 0, 6, 8, 14, 15, 8, 15, 1, 13, 14, 6, 6, 0, 8, 4, 10, 12, 10, 7, 5, 16},
{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},
{3, 14},
{3, 14, 4},
{3, 14, 4, 0, 0, 15, 10, 3, 2, 6, 9, 8, 4, 9, 13, 14, 12, 0, 12, 11, 15, 4, 14, 13, 11, 13, 6, 6, 3, 6, 5, 7, 12, 7, 3, 11, 13, 12, 8, 12, 9, 7, 12, 0, 7, 10, 10, 1, 6, 6, 13, 13, 8, 11, 4, 9, 15, 0, 11, 1, 4, 0, 2, 8, 16},
{3, 14, 9},
{3, 14, 9, 10, 6, 3, 7, 12, 5, 8, 9, 8, 11, 7, 0, 5, 0, 6, 10, 3, 4, 7, 10, 14, 7, 11, 5, 7, 6, 8, 13, 1, 10, 8, 4, 0, 2, 2, 15, 9, 7, 0, 2, 14, 8, 2, 6, 8, 14, 8, 10, 5, 11, 10, 13, 14, 8, 1, 9, 4, 13, 13, 4, 7, 16},
{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},
{4, 0, 6, 3, 7, 10, 5, 2, 9, 3, 2, 0, 13, 10, 12, 14, 5, 4, 7, 6, 3, 12, 2, 14, 6, 10, 12, 5, 2, 12, 5, 2, 2, 12, 8, 10, 4, 4, 6, 11, 10, 9, 11, 6, 15, 5, 4, 13, 10, 15, 8, 4, 12, 0, 14, 4, 4, 2, 1, 2, 4, 11, 9, 3, 16},
{4, 0, 15},
{4, 0, 15, 8, 5, 12, 11, 8, 1, 3, 6, 14, 9, 5, 2, 3, 8, 12, 14, 10, 4, 12, 11, 9, 5, 1, 10, 2, 14, 14, 6, 4, 5, 10, 4, 9, 9, 8, 12, 1, 0, 8, 8, 3, 1, 13, 5, 10, 11, 14, 1, 13, 8, 15, 4, 8, 6, 9, 6, 8, 6, 4, 12, 3, 16},
{4, 1},
{4, 1, 3, 5, 1, 11, 9, 5, 8, 11, 14, 1, 14, 9, 5, 12, 13, 12, 3, 7, 15, 7, 13, 2, 13, 6, 5, 4, 3, 1, 5, 14, 3, 3, 15, 15, 7, 15, 4, 5, 11, 10, 12, 9, 1, 7, 9, 15, 9, 2, 4, 2, 15, 13, 12, 8, 2, 8, 12, 8, 13, 2, 14, 3, 16},
{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},
{4, 2, 11, 4, 5, 13, 14, 6, 8, 5, 3, 13, 4, 0, 6, 7, 8, 3, 11, 6, 11, 5, 0, 12, 3, 7, 8, 11, 15, 11, 6, 1, 13, 6, 12, 14, 5, 2, 7, 1, 11, 3, 11, 15, 8, 1, 3, 12, 12, 2, 11, 9, 5, 9, 0, 5, 5, 15, 12, 1, 2, 15, 9, 8, 16},
{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},
{4, 5, 11, 0, 9, 3, 7, 11, 15, 14, 3, 9, 11, 0, 15, 13, 10, 13, 12, 10, 10, 8, 9, 7, 4, 13, 10, 15, 3, 2, 4, 1, 9, 3, 6, 2, 4, 11, 4, 7, 15, 4, 9, 1, 8, 2, 3, 4, 6, 4, 5, 8, 1, 9, 8, 2, 3, 13, 11, 14, 12, 0, 7, 15, 16},
{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},
{5, 0, 3, 7, 11, 7, 1, 15, 0, 6, 3, 11, 15, 14, 6, 4, 7, 2, 3, 3, 15, 5, 7, 0, 10, 10, 0, 6, 6, 0, 2, 11, 1, 14, 6, 11, 5, 1, 2, 4, 13, 11, 0, 11, 1, 15, 14, 9, 9, 8, 9, 7, 5, 15, 9, 3, 11, 0, 15, 11, 1, 0, 8, 4, 16},
{5, 0, 9},
{5, 0, 9, 5, 11, 7, 6, 0, 2, 3, 9, 7, 4, 4, 4, 0, 14, 6, 12, 1, 5, 5, 14, 2, 6, 11, 3, 15, 7, 0, 8, 4, 15, 0, 11, 1, 9, 0, 1, 10, 0, 13, 15, 2, 1, 8, 3, 13, 12, 15, 14, 11, 14, 0, 1, 15, 3, 2, 6, 13, 5, 14, 9, 6, 16},
{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},
{6, 11, 2, 12, 0, 3, 1, 0, 3, 11, 5, 5, 10, 4, 5, 12, 12, 1, 14, 4, 5, 5, 0, 8, 8, 9, 10, 9, 3, 9, 6, 14, 7, 14, 3, 3, 1, 11, 5, 12, 15, 1, 7, 2, 9, 14, 4, 8, 7, 1, 15, 15, 4, 13, 14, 14, 7, 0, 1, 1, 3, 9, 14, 9, 16},
{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},
}
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