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Merge pull request #10 from roysc/fixes-tests

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Fix edge behavior and expand tests
This commit is contained in:
Ian Norden 2022-03-03 08:22:45 -06:00 committed by GitHub
commit fb86725ef2
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16 changed files with 772 additions and 86 deletions
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fixture/chaindata.go Normal file
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package fixture
import (
"os"
"path/filepath"
"runtime"
)
// TODO: embed some mainnet data
// import "embed"
//_go:embed mainnet_data.tar.gz
var (
ChainDataPath, AncientDataPath string
)
func init() {
_, path, _, _ := runtime.Caller(0)
wd := filepath.Dir(path)
ChainDataPath = filepath.Join(wd, "..", "fixture", "chaindata")
AncientDataPath = filepath.Join(ChainDataPath, "ancient")
if _, err := os.Stat(ChainDataPath); err != nil {
panic("must populate chaindata at " + ChainDataPath)
}
}

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*.log
CURRENT*
LOCK
LOG
MANIFEST-*
ancient/FLOCK

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package fixture
var Block1_Paths = [][]byte{
[]byte{},
[]byte{0},
[]byte{0, 0},
[]byte{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},
[]byte{0, 2},
[]byte{0, 2, 1},
[]byte{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},
[]byte{0, 2, 8},
[]byte{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},
[]byte{0, 2, 12},
[]byte{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},
[]byte{0, 3},
[]byte{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},
[]byte{0, 4},
[]byte{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},
[]byte{0, 6},
[]byte{0, 6, 3},
[]byte{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},
[]byte{0, 6, 13},
[]byte{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},
[]byte{0, 7},
[]byte{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},
[]byte{0, 8},
[]byte{0, 8, 7},
[]byte{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},
[]byte{0, 8, 11},
[]byte{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},
[]byte{0, 9},
[]byte{0, 9, 9},
[]byte{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},
[]byte{0, 9, 10},
[]byte{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},
[]byte{0, 12},
[]byte{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},
[]byte{0, 13},
[]byte{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},
[]byte{0, 14},
[]byte{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},
[]byte{1},
[]byte{1, 2},
[]byte{1, 2, 5},
[]byte{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},
[]byte{1, 2, 7},
[]byte{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},
[]byte{1, 3},
[]byte{1, 3, 1},
[]byte{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},
[]byte{1, 3, 11},
[]byte{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},
[]byte{1, 4},
[]byte{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},
[]byte{1, 5},
[]byte{1, 5, 11},
[]byte{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},
[]byte{1, 5, 12},
[]byte{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},
[]byte{1, 5, 15},
[]byte{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},
[]byte{1, 6},
[]byte{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},
[]byte{1, 8},
[]byte{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},
[]byte{1, 10},
[]byte{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},
[]byte{1, 13},
[]byte{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},
[]byte{1, 14},
[]byte{1, 14, 2},
[]byte{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},
[]byte{1, 14, 11},
[]byte{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},
[]byte{1, 15},
[]byte{1, 15, 9},
[]byte{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},
[]byte{1, 15, 15},
[]byte{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},
[]byte{2},
[]byte{2, 0},
[]byte{2, 0, 9},
[]byte{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},
[]byte{2, 0, 14},
[]byte{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},
[]byte{2, 1},
[]byte{2, 1, 1},
[]byte{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},
[]byte{2, 1, 3},
[]byte{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},
[]byte{2, 1, 14},
[]byte{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},
[]byte{2, 5},
[]byte{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},
[]byte{2, 6},
[]byte{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},
[]byte{2, 9},
[]byte{2, 9, 1},
[]byte{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},
[]byte{2, 9, 7},
[]byte{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},
[]byte{2, 11},
[]byte{2, 11, 7},
[]byte{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},
[]byte{2, 11, 13},
[]byte{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},
[]byte{2, 13},
[]byte{2, 13, 1},
[]byte{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},
[]byte{2, 13, 15},
[]byte{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},
[]byte{2, 15},
[]byte{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},
[]byte{3},
[]byte{3, 0},
[]byte{3, 0, 0},
[]byte{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},
[]byte{3, 0, 1},
[]byte{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},
[]byte{3, 2},
[]byte{3, 2, 3},
[]byte{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},
[]byte{3, 2, 15},
[]byte{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},
[]byte{3, 3},
[]byte{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},
[]byte{3, 4},
[]byte{3, 4, 2},
[]byte{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},
[]byte{3, 4, 4},
[]byte{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},
[]byte{3, 4, 5},
[]byte{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},
[]byte{3, 6},
[]byte{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},
[]byte{3, 8},
[]byte{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},
[]byte{3, 9},
[]byte{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},
[]byte{3, 10},
[]byte{3, 10, 2},
[]byte{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},
[]byte{3, 10, 8},
[]byte{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},
[]byte{3, 10, 12},
[]byte{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},
[]byte{3, 11},
[]byte{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},
[]byte{3, 12},
[]byte{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},
[]byte{3, 13},
[]byte{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},
[]byte{3, 14},
[]byte{3, 14, 4},
[]byte{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},
[]byte{3, 14, 9},
[]byte{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},
[]byte{3, 14, 14},
[]byte{3, 14, 14, 10},
[]byte{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},
[]byte{3, 14, 14, 15},
[]byte{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},
[]byte{4},
[]byte{4, 0},
[]byte{4, 0, 6},
[]byte{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},
[]byte{4, 0, 15},
[]byte{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},
[]byte{4, 1},
[]byte{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},
[]byte{4, 2},
[]byte{4, 2, 1},
[]byte{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},
[]byte{4, 2, 11},
[]byte{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},
[]byte{4, 3},
[]byte{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},
[]byte{4, 5},
[]byte{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},
[]byte{4, 6},
[]byte{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},
[]byte{4, 7},
[]byte{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},
[]byte{4, 8},
[]byte{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},
[]byte{4, 11},
[]byte{4, 11, 6},
[]byte{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},
[]byte{4, 11, 9},
[]byte{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},
[]byte{4, 11, 12},
[]byte{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},
[]byte{4, 14},
[]byte{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},
[]byte{5},
[]byte{5, 0},
[]byte{5, 0, 3},
[]byte{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},
[]byte{5, 0, 9},
[]byte{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},
[]byte{5, 0, 15},
[]byte{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},
[]byte{5, 1},
[]byte{5, 1, 14},
[]byte{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},
[]byte{5, 1, 15},
[]byte{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},
[]byte{5, 2},
[]byte{5, 2, 8},
[]byte{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},
[]byte{5, 2, 10},
[]byte{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},
[]byte{5, 3},
[]byte{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},
[]byte{5, 4},
[]byte{5, 4, 6},
[]byte{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},
[]byte{5, 4, 12},
[]byte{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},
[]byte{5, 6},
[]byte{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},
[]byte{5, 8},
[]byte{5, 8, 3},
[]byte{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},
[]byte{5, 8, 11},
[]byte{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},
[]byte{5, 10},
[]byte{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},
[]byte{5, 11},
[]byte{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},
[]byte{5, 12},
[]byte{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},
[]byte{5, 13},
[]byte{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},
[]byte{5, 15},
[]byte{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},
[]byte{6},
[]byte{6, 0},
[]byte{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},
[]byte{6, 2},
[]byte{6, 2, 3},
[]byte{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},
[]byte{6, 2, 9},
[]byte{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},
[]byte{6, 4},
[]byte{6, 4, 0},
[]byte{6, 4, 0, 0},
[]byte{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},
[]byte{6, 4, 0, 5},
[]byte{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},
[]byte{6, 5},
[]byte{6, 5, 4},
[]byte{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},
[]byte{6, 5, 10},
[]byte{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},
[]byte{6, 5, 12},
[]byte{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},
[]byte{6, 5, 13},
[]byte{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},
[]byte{6, 6},
[]byte{6, 6, 0},
[]byte{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},
[]byte{6, 6, 8},
[]byte{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},
[]byte{6, 8},
[]byte{6, 8, 4},
[]byte{6, 8, 4, 2},
[]byte{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},
[]byte{6, 8, 4, 9},
[]byte{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},
[]byte{6, 8, 9},
[]byte{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},
[]byte{6, 10},
[]byte{6, 10, 1},
[]byte{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},
[]byte{6, 10, 14},
[]byte{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},
[]byte{6, 11},
[]byte{6, 11, 2},
[]byte{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},
[]byte{6, 11, 12},
[]byte{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},
[]byte{6, 11, 14},
[]byte{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},
[]byte{6, 13},
[]byte{6, 13, 2},
[]byte{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},
[]byte{6, 13, 12},
[]byte{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},
[]byte{7},
[]byte{7, 1},
[]byte{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},
[]byte{7, 5},
[]byte{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},
[]byte{7, 7},
[]byte{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},
[]byte{7, 8},
[]byte{7, 8, 2},
[]byte{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},
[]byte{7, 8, 5},
[]byte{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},
[]byte{7, 9},
[]byte{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},
[]byte{7, 13},
[]byte{7, 13, 1},
[]byte{7, 13, 1, 0},
[]byte{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},
[]byte{7, 13, 1, 13},
[]byte{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},
[]byte{7, 13, 7},
[]byte{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},
[]byte{7, 14},
[]byte{7, 14, 8},
[]byte{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},
[]byte{7, 14, 11},
[]byte{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},
[]byte{8},
[]byte{8, 0},
[]byte{8, 0, 3},
[]byte{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},
[]byte{8, 0, 11},
[]byte{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},
[]byte{8, 2},
[]byte{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},
[]byte{8, 4},
[]byte{8, 4, 8, 4, 4, 5, 2, 14, 4, 15, 0, 12, 1, 10, 9, 15, 1, 1, 5, 12, 5, 2, 11, 4, 10, 12, 7, 8, 10, 0, 13, 14, 2, 15, 1, 11, 0, 10, 11, 1, 10, 4, 10, 10, 14, 8, 3, 9, 0, 4, 2, 6, 10, 12, 7, 1, 14, 0, 3, 15, 8, 7, 7, 9, 16},
[]byte{8, 8},
[]byte{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},
[]byte{8, 9},
[]byte{8, 9, 3},
[]byte{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},
[]byte{8, 9, 13},
[]byte{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},
[]byte{8, 10},
[]byte{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},
[]byte{8, 12},
[]byte{8, 12, 3},
[]byte{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},
[]byte{8, 12, 15},
[]byte{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},
[]byte{8, 13},
[]byte{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},
[]byte{8, 15},
[]byte{8, 15, 8},
[]byte{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},
[]byte{8, 15, 13},
[]byte{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},
[]byte{9},
[]byte{9, 0},
[]byte{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},
[]byte{9, 5},
[]byte{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},
[]byte{9, 6},
[]byte{9, 6, 10},
[]byte{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},
[]byte{9, 6, 14},
[]byte{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},
[]byte{9, 7},
[]byte{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},
[]byte{9, 9},
[]byte{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},
[]byte{9, 14},
[]byte{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},
[]byte{9, 15},
[]byte{9, 15, 0},
[]byte{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},
[]byte{9, 15, 4},
[]byte{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},
[]byte{9, 15, 10},
[]byte{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},
[]byte{10},
[]byte{10, 0},
[]byte{10, 0, 9},
[]byte{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},
[]byte{10, 0, 10},
[]byte{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},
[]byte{10, 0, 15},
[]byte{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},
[]byte{10, 2},
[]byte{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},
[]byte{10, 3},
[]byte{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},
[]byte{10, 6},
[]byte{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},
[]byte{10, 8},
[]byte{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},
[]byte{10, 9},
[]byte{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},
[]byte{10, 10},
[]byte{10, 10, 5},
[]byte{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},
[]byte{10, 10, 8},
[]byte{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},
[]byte{10, 13},
[]byte{10, 13, 0},
[]byte{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},
[]byte{10, 13, 13},
[]byte{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},
[]byte{10, 14},
[]byte{10, 14, 4},
[]byte{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},
[]byte{10, 14, 11},
[]byte{10, 14, 11, 8},
[]byte{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},
[]byte{10, 14, 11, 14},
[]byte{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},
[]byte{10, 15},
[]byte{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},
[]byte{11},
[]byte{11, 0},
[]byte{11, 0, 2},
[]byte{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},
[]byte{11, 0, 15},
[]byte{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},
[]byte{11, 1},
[]byte{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},
[]byte{11, 2},
[]byte{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},
[]byte{11, 3},
[]byte{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},
[]byte{11, 4},
[]byte{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},
[]byte{11, 5},
[]byte{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},
[]byte{11, 7},
[]byte{11, 7, 12},
[]byte{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},
[]byte{11, 7, 15},
[]byte{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},
[]byte{11, 8},
[]byte{11, 8, 8},
[]byte{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},
[]byte{11, 8, 15},
[]byte{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},
[]byte{11, 9},
[]byte{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},
[]byte{11, 11},
[]byte{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},
[]byte{11, 12},
[]byte{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},
[]byte{11, 13},
[]byte{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},
[]byte{11, 14},
[]byte{11, 14, 0},
[]byte{11, 14, 0, 1},
[]byte{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},
[]byte{11, 14, 0, 3},
[]byte{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},
[]byte{11, 14, 8},
[]byte{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},
[]byte{11, 14, 13},
[]byte{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},
[]byte{12},
[]byte{12, 0},
[]byte{12, 0, 0},
[]byte{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},
[]byte{12, 0, 1},
[]byte{12, 0, 1, 3},
[]byte{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},
[]byte{12, 0, 1, 11},
[]byte{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},
[]byte{12, 0, 15},
[]byte{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},
[]byte{12, 2},
[]byte{12, 2, 9},
[]byte{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},
[]byte{12, 2, 12},
[]byte{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},
[]byte{12, 4},
[]byte{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},
[]byte{12, 5},
[]byte{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},
[]byte{12, 6},
[]byte{12, 6, 0},
[]byte{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},
[]byte{12, 6, 4},
[]byte{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},
[]byte{12, 6, 14},
[]byte{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},
[]byte{12, 7},
[]byte{12, 7, 0},
[]byte{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},
[]byte{12, 7, 12},
[]byte{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},
[]byte{12, 7, 13},
[]byte{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},
[]byte{12, 9},
[]byte{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},
[]byte{12, 11},
[]byte{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},
[]byte{12, 12},
[]byte{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},
[]byte{13},
[]byte{13, 2},
[]byte{13, 2, 0},
[]byte{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},
[]byte{13, 2, 2},
[]byte{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},
[]byte{13, 2, 4},
[]byte{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},
[]byte{13, 3},
[]byte{13, 3, 7},
[]byte{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},
[]byte{13, 3, 10},
[]byte{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},
[]byte{13, 5},
[]byte{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},
[]byte{13, 8},
[]byte{13, 8, 1},
[]byte{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},
[]byte{13, 8, 15},
[]byte{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},
[]byte{13, 9},
[]byte{13, 9, 0},
[]byte{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},
[]byte{13, 9, 14},
[]byte{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},
[]byte{13, 10},
[]byte{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},
[]byte{13, 12},
[]byte{13, 12, 8},
[]byte{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},
[]byte{13, 12, 11},
[]byte{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},
[]byte{13, 13},
[]byte{13, 13, 7},
[]byte{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},
[]byte{13, 13, 12},
[]byte{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},
[]byte{13, 14},
[]byte{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},
[]byte{14},
[]byte{14, 0},
[]byte{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},
[]byte{14, 1},
[]byte{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},
[]byte{14, 2},
[]byte{14, 2, 2},
[]byte{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},
[]byte{14, 2, 12},
[]byte{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},
[]byte{14, 3},
[]byte{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},
[]byte{14, 4},
[]byte{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},
[]byte{14, 5},
[]byte{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},
[]byte{14, 6},
[]byte{14, 6, 9},
[]byte{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},
[]byte{14, 6, 12},
[]byte{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},
[]byte{14, 7},
[]byte{14, 7, 4},
[]byte{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},
[]byte{14, 7, 12},
[]byte{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},
[]byte{14, 8},
[]byte{14, 8, 3},
[]byte{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},
[]byte{14, 8, 12},
[]byte{14, 8, 12, 0},
[]byte{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},
[]byte{14, 8, 12, 6},
[]byte{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},
[]byte{14, 10},
[]byte{14, 10, 6},
[]byte{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},
[]byte{14, 10, 12},
[]byte{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},
[]byte{14, 11},
[]byte{14, 11, 8},
[]byte{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},
[]byte{14, 11, 13},
[]byte{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},
[]byte{14, 12},
[]byte{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},
[]byte{14, 14},
[]byte{14, 14, 3},
[]byte{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},
[]byte{14, 14, 9},
[]byte{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},
[]byte{15},
[]byte{15, 0},
[]byte{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},
[]byte{15, 5},
[]byte{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},
[]byte{15, 6},
[]byte{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},
[]byte{15, 9},
[]byte{15, 9, 0},
[]byte{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},
[]byte{15, 9, 2},
[]byte{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},
[]byte{15, 9, 3},
[]byte{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},
[]byte{15, 11},
[]byte{15, 11, 1},
[]byte{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},
[]byte{15, 11, 6},
[]byte{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},
[]byte{15, 12},
[]byte{15, 12, 3},
[]byte{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},
[]byte{15, 12, 14},
[]byte{15, 12, 14, 7},
[]byte{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},
[]byte{15, 12, 14, 13},
[]byte{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},
[]byte{15, 13},
[]byte{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},
[]byte{15, 14},
[]byte{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},
[]byte{15, 15},
[]byte{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},
}

121
iterator.go
View File

@ -20,62 +20,44 @@ import (
"bytes"
"math/bits"
"github.com/ethereum/go-ethereum/common"
"github.com/ethereum/go-ethereum/core/state"
"github.com/ethereum/go-ethereum/ethdb"
"github.com/ethereum/go-ethereum/trie"
)
// PrefixBoundIterator is a NodeIterator constrained by a lower & upper bound (as hex path prefixes)
type PrefixBoundIterator struct {
current trie.NodeIterator
endKey []byte
trie.NodeIterator
EndPath []byte
primed bool
}
// Next advances until reaching EndPath, or the underlying iterator becomes invalid
func (it *PrefixBoundIterator) Next(descend bool) bool {
if it.endKey == nil {
return it.current.Next(descend)
// NodeIterator starts in an invalid state and must be advanced once before accessing values.
// Since this begins valid (pointing to the lower bound element), the first Next must be a no-op.
if !it.primed {
it.primed = true
return (it.EndPath == nil) || bytes.Compare(it.Path(), it.EndPath) < 0
}
if !it.current.Next(descend) {
if !it.NodeIterator.Next(descend) {
return false
}
// stop if underlying iterator went past endKey
cmp := bytes.Compare(it.current.Path(), it.endKey)
return cmp <= 0
return (it.EndPath == nil) || bytes.Compare(it.Path(), it.EndPath) < 0
}
func (it *PrefixBoundIterator) Error() error {
return it.current.Error()
// NewPrefixBoundIterator returns a PrefixBoundIterator with bounds [from, to)
func NewPrefixBoundIterator(tree state.Trie, from, to []byte) *PrefixBoundIterator {
it := tree.NodeIterator(nil)
for it.Next(true) {
if bytes.Compare(from, it.Path()) <= 0 {
break
}
func (it *PrefixBoundIterator) Hash() common.Hash {
return it.current.Hash()
}
func (it *PrefixBoundIterator) Path() []byte {
return it.current.Path()
}
func (it *PrefixBoundIterator) Leaf() bool {
return it.current.Leaf()
}
func (it *PrefixBoundIterator) LeafKey() []byte {
return it.current.LeafKey()
}
func (it *PrefixBoundIterator) LeafBlob() []byte {
return it.current.LeafBlob()
}
func (it *PrefixBoundIterator) LeafProof() [][]byte {
return it.current.LeafProof()
}
func (it *PrefixBoundIterator) Parent() common.Hash {
return it.current.Parent()
}
func (it *PrefixBoundIterator) AddResolver(store ethdb.KeyValueStore) {
it.current.AddResolver(store)
}
// Iterator with an upper bound value (hex path prefix)
func NewPrefixBoundIterator(it trie.NodeIterator, to []byte) *PrefixBoundIterator {
return &PrefixBoundIterator{current: it, endKey: to}
return &PrefixBoundIterator{NodeIterator: it, EndPath: to}
}
// generates nibble slice prefixes at uniform intervals
type prefixGenerator struct {
current []byte
step byte
@ -90,7 +72,7 @@ func newPrefixGenerator(nbins uint) prefixGenerator {
var step byte
var stepIndex uint
for ; nbins != 0; stepIndex++ {
divisor := byte(nbins & 0xf)
divisor := byte(nbins & 0xF)
if divisor != 0 {
step = 0x10 / divisor
}
@ -108,11 +90,11 @@ func (gen *prefixGenerator) Value() []byte {
}
func (gen *prefixGenerator) HasNext() bool {
return gen.current[0] <= 0xf
return gen.current[0] < 0x10
}
func (gen *prefixGenerator) Next() {
// increment the cursor, and
// increment the cursor, and handle overflow
gen.current[gen.stepIndex] += gen.step
overflow := false
for ix := 0; ix < len(gen.current); ix++ {
@ -129,7 +111,7 @@ func (gen *prefixGenerator) Next() {
}
}
// Generates paths that cut trie domain into `nbins` uniform conterminous bins (w/ opt. prefix)
// MakePaths generates paths that cut trie domain into `nbins` uniform conterminous bins (w/ opt. prefix)
// eg. MakePaths([], 2) => [[0] [8]]
// MakePaths([4], 32) => [[4 0 0] [4 0 8] [4 1 0]... [4 f 8]]
func MakePaths(prefix []byte, nbins uint) [][]byte {
@ -143,49 +125,28 @@ func MakePaths(prefix []byte, nbins uint) [][]byte {
return res
}
func eachPrefixRange(prefix []byte, nbins uint, callback func([]byte, []byte)) {
prefixes := MakePaths(prefix, nbins)
prefixes = append(prefixes, nil) // include tail
prefixes[0] = nil // set bin 0 left bound to nil to include root
for i := 0; i < len(prefixes)-1; i++ {
key := prefixes[i]
if len(key)%2 != 0 { // zero-pad for odd-length keys
key = append(key, 0)
// truncate zeros from end of a path
func truncateZeros(path []byte) []byte {
l := len(path)
for ; l > 0 && path[l-1] == 0; l-- {
}
callback(key, prefixes[i+1])
return path[:l]
}
func eachInterval(prefix []byte, nbins uint, cb func([]byte, []byte)) {
paths := MakePaths(prefix, nbins)
paths = append(paths, nil) // include tail
paths[0] = nil // set bin 0 left bound to nil to include root
for i := 0; i < len(paths)-1; i++ {
cb(truncateZeros(paths[i]), truncateZeros(paths[i+1]))
}
}
// Cut a trie by path prefix, returning `nbins` iterators covering its subtries
// SubtrieIterators cuts a trie by path prefix, returning `nbins` iterators covering its subtries
func SubtrieIterators(tree state.Trie, nbins uint) []trie.NodeIterator {
var iters []trie.NodeIterator
eachPrefixRange(nil, nbins, func(key []byte, endKey []byte) {
it := tree.NodeIterator(HexToKeyBytes(key))
iters = append(iters, NewPrefixBoundIterator(it, endKey))
eachInterval(nil, nbins, func(from, to []byte) {
iters = append(iters, NewPrefixBoundIterator(tree, from, to))
})
return iters
}
// Factory for per-bin subtrie iterators
type SubtrieIteratorFactory struct {
tree state.Trie
startKeys, endKeys [][]byte
}
func (fac *SubtrieIteratorFactory) Length() int { return len(fac.startKeys) }
func (fac *SubtrieIteratorFactory) IteratorAt(bin uint) *PrefixBoundIterator {
it := fac.tree.NodeIterator(HexToKeyBytes(fac.startKeys[bin]))
return NewPrefixBoundIterator(it, fac.endKeys[bin])
}
// Cut a trie by path prefix, returning `nbins` iterators covering its subtries
func NewSubtrieIteratorFactory(tree state.Trie, nbins uint) SubtrieIteratorFactory {
starts := make([][]byte, 0, nbins)
ends := make([][]byte, 0, nbins)
eachPrefixRange(nil, nbins, func(key []byte, endKey []byte) {
starts = append(starts, key)
ends = append(ends, endKey)
})
return SubtrieIteratorFactory{tree: tree, startKeys: starts, endKeys: ends}
}

82
iterator_test.go
View File

@ -1,9 +1,15 @@
package iterator_test
import (
"bytes"
"fmt"
"testing"
"github.com/ethereum/go-ethereum/core/rawdb"
"github.com/ethereum/go-ethereum/core/state"
iter "github.com/vulcanize/go-eth-state-node-iterator"
fixt "github.com/vulcanize/go-eth-state-node-iterator/fixture"
)
func TestMakePaths(t *testing.T) {
@ -11,10 +17,80 @@ func TestMakePaths(t *testing.T) {
for i := 0; i < 4; i++ {
nbins := uint(1) << i
paths := iter.MakePaths(prefix, nbins)
t.Log(paths)
if len(paths) != int(nbins) {
t.Logf("failed: TestMakePaths")
t.Error("wrong number of paths", len(paths))
t.Errorf("wrong number of paths; expected %d, have %d", nbins, len(paths))
}
}
}
func TestIterator(t *testing.T) {
edb, err := rawdb.NewLevelDBDatabaseWithFreezer(
fixt.ChainDataPath, 1024, 256, fixt.AncientDataPath,
"eth-pg-ipfs-state-snapshot", false,
)
if err != nil {
t.Fatal(err)
}
defer edb.Close()
height := uint64(1)
hash := rawdb.ReadCanonicalHash(edb, height)
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)
}
t.Run("in bounds", func(t *testing.T) {
type testCase struct {
lower, upper []byte
}
cases := []testCase{
{nil, []byte{0}},
{[]byte{1}, []byte{2}},
{[]byte{3, 0}, []byte{4, 2, 0}},
{[]byte{5, 6, 9}, []byte{7}},
{[]byte{8}, []byte{8}},
{[]byte{8}, []byte{7}},
}
runCase := func(t *testing.T, tc testCase) {
it := iter.NewPrefixBoundIterator(tree, tc.lower, tc.upper)
for it.Next(true) {
if bytes.Compare(it.Path(), tc.lower) < 0 {
t.Fatalf("iterator outside lower bound: %v", it.Path())
}
if bytes.Compare(tc.upper, it.Path()) <= 0 {
t.Fatalf("iterator outside upper bound: %v", it.Path())
}
}
}
for _, tc := range cases {
t.Run("case", func(t *testing.T) { runCase(t, tc) })
}
})
t.Run("trie is covered", func(t *testing.T) {
allPaths := fixt.Block1_Paths
cases := []uint{1, 2, 4, 8, 16, 32}
runCase := func(t *testing.T, nbins uint) {
iters := iter.SubtrieIterators(tree, nbins)
ix := 0
for b := uint(0); b < nbins; b++ {
for it := iters[b]; it.Next(true); ix++ {
if !bytes.Equal(allPaths[ix], it.Path()) {
t.Fatalf("wrong path value\nexpected:\t%v\nactual:\t\t%v",
allPaths[ix], it.Path())
}
}
}
}
for _, tc := range cases {
t.Run(fmt.Sprintf("%d bins", tc), func(t *testing.T) { runCase(t, tc) })
}
})
}