From 1a57267a17c2fc17fb6e104846fabc3e363c326c Mon Sep 17 00:00:00 2001 From: Emile Date: Fri, 16 Aug 2024 19:50:26 +0200 Subject: initial commit --- vendor/modernc.org/mathutil/AUTHORS | 13 + vendor/modernc.org/mathutil/CONTRIBUTORS | 15 + vendor/modernc.org/mathutil/LICENSE | 27 + vendor/modernc.org/mathutil/Makefile | 56 + vendor/modernc.org/mathutil/README | 10 + vendor/modernc.org/mathutil/binarylog.go | 80 + vendor/modernc.org/mathutil/bits.go | 207 + vendor/modernc.org/mathutil/envelope.go | 46 + vendor/modernc.org/mathutil/int.go | 279 + vendor/modernc.org/mathutil/mathutil.go | 1604 +++++ vendor/modernc.org/mathutil/nist-sts-2-1-1-report | 267 + vendor/modernc.org/mathutil/permute.go | 39 + vendor/modernc.org/mathutil/poly.go | 248 + vendor/modernc.org/mathutil/primes.go | 331 + vendor/modernc.org/mathutil/rat.go | 27 + vendor/modernc.org/mathutil/rnd.go | 383 ++ vendor/modernc.org/mathutil/sqr.go | 12 + vendor/modernc.org/mathutil/sqr_std.go | 10 + vendor/modernc.org/mathutil/tables.go | 6995 +++++++++++++++++++++ vendor/modernc.org/mathutil/test_deps.go | 11 + 20 files changed, 10660 insertions(+) create mode 100644 vendor/modernc.org/mathutil/AUTHORS create mode 100644 vendor/modernc.org/mathutil/CONTRIBUTORS create mode 100644 vendor/modernc.org/mathutil/LICENSE create mode 100644 vendor/modernc.org/mathutil/Makefile create mode 100644 vendor/modernc.org/mathutil/README create mode 100644 vendor/modernc.org/mathutil/binarylog.go create mode 100644 vendor/modernc.org/mathutil/bits.go create mode 100644 vendor/modernc.org/mathutil/envelope.go create mode 100644 vendor/modernc.org/mathutil/int.go create mode 100644 vendor/modernc.org/mathutil/mathutil.go create mode 100644 vendor/modernc.org/mathutil/nist-sts-2-1-1-report create mode 100644 vendor/modernc.org/mathutil/permute.go create mode 100644 vendor/modernc.org/mathutil/poly.go create mode 100644 vendor/modernc.org/mathutil/primes.go create mode 100644 vendor/modernc.org/mathutil/rat.go create mode 100644 vendor/modernc.org/mathutil/rnd.go create mode 100644 vendor/modernc.org/mathutil/sqr.go create mode 100644 vendor/modernc.org/mathutil/sqr_std.go create mode 100644 vendor/modernc.org/mathutil/tables.go create mode 100644 vendor/modernc.org/mathutil/test_deps.go (limited to 'vendor/modernc.org/mathutil') diff --git a/vendor/modernc.org/mathutil/AUTHORS b/vendor/modernc.org/mathutil/AUTHORS new file mode 100644 index 0000000..c0a01b6 --- /dev/null +++ b/vendor/modernc.org/mathutil/AUTHORS @@ -0,0 +1,13 @@ +# This file lists authors for copyright purposes. This file is distinct from +# the CONTRIBUTORS files. See the latter for an explanation. +# +# Names should be added to this file as: +# Name or Organization +# +# The email address is not required for organizations. +# +# Please keep the list sorted. + +CZ.NIC z.s.p.o. +Edward Betts +Jan Mercl <0xjnml@gmail.com> diff --git a/vendor/modernc.org/mathutil/CONTRIBUTORS b/vendor/modernc.org/mathutil/CONTRIBUTORS new file mode 100644 index 0000000..a231761 --- /dev/null +++ b/vendor/modernc.org/mathutil/CONTRIBUTORS @@ -0,0 +1,15 @@ +# This file lists people who contributed code to this repository. The AUTHORS +# file lists the copyright holders; this file lists people. +# +# Names should be added to this file like so: +# Name +# +# Please keep the list sorted. + +Bodecker DellaMaria +Edward Betts +Faiz Abbasi +Gary Burd +Jan Mercl <0xjnml@gmail.com> +Muhammad Surya +Santiago De la Cruz diff --git a/vendor/modernc.org/mathutil/LICENSE b/vendor/modernc.org/mathutil/LICENSE new file mode 100644 index 0000000..128a1b6 --- /dev/null +++ b/vendor/modernc.org/mathutil/LICENSE @@ -0,0 +1,27 @@ +Copyright (c) 2014 The mathutil Authors. All rights reserved. + +Redistribution and use in source and binary forms, with or without +modification, are permitted provided that the following conditions are +met: + + * Redistributions of source code must retain the above copyright +notice, this list of conditions and the following disclaimer. + * Redistributions in binary form must reproduce the above +copyright notice, this list of conditions and the following disclaimer +in the documentation and/or other materials provided with the +distribution. + * Neither the names of the authors nor the names of the +contributors may be used to endorse or promote products derived from +this software without specific prior written permission. + +THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR +A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT +OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, +SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT +LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, +DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY +THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT +(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE +OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. diff --git a/vendor/modernc.org/mathutil/Makefile b/vendor/modernc.org/mathutil/Makefile new file mode 100644 index 0000000..879017d --- /dev/null +++ b/vendor/modernc.org/mathutil/Makefile @@ -0,0 +1,56 @@ +# Copyright (c) 2016 The mathutil Authors. All rights reserved. +# Use of this source code is governed by a BSD-style +# license that can be found in the LICENSE file. + +.PHONY: all clean cover cpu editor internalError later mem nuke todo edit + +grep=--include=*.go --include=*.l --include=*.y --include=*.yy +ngrep='TODOOK\|parser\.go\|scanner\.go\|.*_string\.go' + +all: editor + go vet 2>&1 | grep -v $(ngrep) || true + golint 2>&1 | grep -v $(ngrep) || true + make todo + misspell *.go + unconvert || true + maligned || true + staticcheck || true + +clean: + go clean + rm -f *~ *.test *.out + +cover: + t=$(shell tempfile) ; go test -coverprofile $$t && go tool cover -html $$t && unlink $$t + +cpu: clean + go test -run @ -bench . -cpuprofile cpu.out + go tool pprof -lines *.test cpu.out + +edit: + @ 1>/dev/null 2>/dev/null gvim -p Makefile *.go & + +editor: + gofmt -l -s -w *.go + go test + go build + +internalError: + egrep -ho '"internal error.*"' *.go | sort | cat -n + +later: + @grep -n $(grep) LATER * || true + @grep -n $(grep) MAYBE * || true + +mem: clean + go test -run @ -bench . -memprofile mem.out -memprofilerate 1 -timeout 24h + go tool pprof -lines -web -alloc_space *.test mem.out + +nuke: clean + go clean -i + +todo: + @grep -nr $(grep) ^[[:space:]]*_[[:space:]]*=[[:space:]][[:alpha:]][[:alnum:]]* * | grep -v $(ngrep) || true + @grep -nr $(grep) TODO * | grep -v $(ngrep) || true + @grep -nr $(grep) BUG * | grep -v $(ngrep) || true + @grep -nr $(grep) [^[:alpha:]]println * | grep -v $(ngrep) || true diff --git a/vendor/modernc.org/mathutil/README b/vendor/modernc.org/mathutil/README new file mode 100644 index 0000000..3e731b6 --- /dev/null +++ b/vendor/modernc.org/mathutil/README @@ -0,0 +1,10 @@ +This is a goinstall-able mirror of modified code already published at: +http://git.nic.cz/redmine/projects/gornd/repository + +Packages in this repository: + +Install: $ go get modernc.org/mathutil +Godocs: http://godoc.org/modernc.org/mathutil + +Install: $ go get modernc.org/mathutil/mersenne +Godocs: http://godoc.org/modernc.org/mathutil/mersenne diff --git a/vendor/modernc.org/mathutil/binarylog.go b/vendor/modernc.org/mathutil/binarylog.go new file mode 100644 index 0000000..5a35c57 --- /dev/null +++ b/vendor/modernc.org/mathutil/binarylog.go @@ -0,0 +1,80 @@ +// Copyright (c) 2016 The mathutil Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +package mathutil // import "modernc.org/mathutil" + +import ( + "math/big" +) + +type float struct { + n *big.Int + fracBits int + maxFracBits int +} + +func newFloat(n *big.Int, fracBits, maxFracBits int) float { + f := float{n: n, fracBits: fracBits, maxFracBits: maxFracBits} + f.normalize() + return f +} + +func (f *float) normalize() { + n := f.n.BitLen() + if n == 0 { + return + } + + if n := f.fracBits - f.maxFracBits; n > 0 { + bit := f.n.Bit(n - 1) + f.n.Rsh(f.n, uint(n)) + if bit != 0 { + f.n.Add(f.n, _1) + } + f.fracBits -= n + } + + var i int + for ; f.fracBits > 0 && i <= f.fracBits && f.n.Bit(i) == 0; i++ { + f.fracBits-- + } + + if i != 0 { + f.n.Rsh(f.n, uint(i)) + } +} + +func (f *float) eq1() bool { return f.fracBits == 0 && f.n.BitLen() == 1 } +func (f *float) ge2() bool { return f.n.BitLen() > f.fracBits+1 } + +func (f *float) div2() { + f.fracBits++ + f.normalize() +} + +// BinaryLog computes the binary logarithm of n. The result consists of a +// characteristic and a mantissa having precision mantissaBits. The value of +// the binary logarithm is +// +// characteristic + mantissa*(2^-mantissaBits) +// +// BinaryLog panics for n <= 0 or mantissaBits < 0. +func BinaryLog(n *big.Int, mantissaBits int) (characteristic int, mantissa *big.Int) { + if n.Sign() <= 0 || mantissaBits < 0 { + panic("invalid argument of BinaryLog") + } + + characteristic = n.BitLen() - 1 + mantissa = big.NewInt(0) + x := newFloat(n, characteristic, mantissaBits) + for ; mantissaBits != 0 && !x.eq1(); mantissaBits-- { + x.sqr() + mantissa.Lsh(mantissa, 1) + if x.ge2() { + mantissa.SetBit(mantissa, 0, 1) + x.div2() + } + } + return characteristic, mantissa +} diff --git a/vendor/modernc.org/mathutil/bits.go b/vendor/modernc.org/mathutil/bits.go new file mode 100644 index 0000000..ab51854 --- /dev/null +++ b/vendor/modernc.org/mathutil/bits.go @@ -0,0 +1,207 @@ +// Copyright (c) 2014 The mathutil Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +package mathutil // import "modernc.org/mathutil" + +import ( + "math/big" +) + +// BitLenByte returns the bit width of the non zero part of n. +func BitLenByte(n byte) int { + return log2[n] + 1 +} + +// BitLenUint16 returns the bit width of the non zero part of n. +func BitLenUint16(n uint16) int { + if b := n >> 8; b != 0 { + return log2[b] + 8 + 1 + } + + return log2[n] + 1 +} + +// BitLenUint32 returns the bit width of the non zero part of n. +func BitLenUint32(n uint32) int { + if b := n >> 24; b != 0 { + return log2[b] + 24 + 1 + } + + if b := n >> 16; b != 0 { + return log2[b] + 16 + 1 + } + + if b := n >> 8; b != 0 { + return log2[b] + 8 + 1 + } + + return log2[n] + 1 +} + +// BitLen returns the bit width of the non zero part of n. +func BitLen(n int) int { // Should handle correctly [future] 64 bit Go ints + if IntBits == 64 { + return BitLenUint64(uint64(n)) + } + + if b := byte(n >> 24); b != 0 { + return log2[b] + 24 + 1 + } + + if b := byte(n >> 16); b != 0 { + return log2[b] + 16 + 1 + } + + if b := byte(n >> 8); b != 0 { + return log2[b] + 8 + 1 + } + + return log2[byte(n)] + 1 +} + +// BitLenUint returns the bit width of the non zero part of n. +func BitLenUint(n uint) int { // Should handle correctly [future] 64 bit Go uints + if IntBits == 64 { + return BitLenUint64(uint64(n)) + } + + if b := n >> 24; b != 0 { + return log2[b] + 24 + 1 + } + + if b := n >> 16; b != 0 { + return log2[b] + 16 + 1 + } + + if b := n >> 8; b != 0 { + return log2[b] + 8 + 1 + } + + return log2[n] + 1 +} + +// BitLenUint64 returns the bit width of the non zero part of n. +func BitLenUint64(n uint64) int { + if b := n >> 56; b != 0 { + return log2[b] + 56 + 1 + } + + if b := n >> 48; b != 0 { + return log2[b] + 48 + 1 + } + + if b := n >> 40; b != 0 { + return log2[b] + 40 + 1 + } + + if b := n >> 32; b != 0 { + return log2[b] + 32 + 1 + } + + if b := n >> 24; b != 0 { + return log2[b] + 24 + 1 + } + + if b := n >> 16; b != 0 { + return log2[b] + 16 + 1 + } + + if b := n >> 8; b != 0 { + return log2[b] + 8 + 1 + } + + return log2[n] + 1 +} + +// BitLenUintptr returns the bit width of the non zero part of n. +func BitLenUintptr(n uintptr) int { + if b := n >> 56; b != 0 { + return log2[b] + 56 + 1 + } + + if b := n >> 48; b != 0 { + return log2[b] + 48 + 1 + } + + if b := n >> 40; b != 0 { + return log2[b] + 40 + 1 + } + + if b := n >> 32; b != 0 { + return log2[b] + 32 + 1 + } + + if b := n >> 24; b != 0 { + return log2[b] + 24 + 1 + } + + if b := n >> 16; b != 0 { + return log2[b] + 16 + 1 + } + + if b := n >> 8; b != 0 { + return log2[b] + 8 + 1 + } + + return log2[n] + 1 +} + +// PopCountByte returns population count of n (number of bits set in n). +func PopCountByte(n byte) int { + return int(popcnt[n]) +} + +// PopCountUint16 returns population count of n (number of bits set in n). +func PopCountUint16(n uint16) int { + return int(popcnt[byte(n>>8)]) + int(popcnt[byte(n)]) +} + +// PopCountUint32 returns population count of n (number of bits set in n). +func PopCountUint32(n uint32) int { + return int(popcnt[byte(n>>24)]) + int(popcnt[byte(n>>16)]) + + int(popcnt[byte(n>>8)]) + int(popcnt[byte(n)]) +} + +// PopCount returns population count of n (number of bits set in n). +func PopCount(n int) int { // Should handle correctly [future] 64 bit Go ints + if IntBits == 64 { + return PopCountUint64(uint64(n)) + } + + return PopCountUint32(uint32(n)) +} + +// PopCountUint returns population count of n (number of bits set in n). +func PopCountUint(n uint) int { // Should handle correctly [future] 64 bit Go uints + if IntBits == 64 { + return PopCountUint64(uint64(n)) + } + + return PopCountUint32(uint32(n)) +} + +// PopCountUintptr returns population count of n (number of bits set in n). +func PopCountUintptr(n uintptr) int { + if UintPtrBits == 64 { + return PopCountUint64(uint64(n)) + } + + return PopCountUint32(uint32(n)) +} + +// PopCountUint64 returns population count of n (number of bits set in n). +func PopCountUint64(n uint64) int { + return int(popcnt[byte(n>>56)]) + int(popcnt[byte(n>>48)]) + + int(popcnt[byte(n>>40)]) + int(popcnt[byte(n>>32)]) + + int(popcnt[byte(n>>24)]) + int(popcnt[byte(n>>16)]) + + int(popcnt[byte(n>>8)]) + int(popcnt[byte(n)]) +} + +// PopCountBigInt returns population count of |n| (number of bits set in |n|). +func PopCountBigInt(n *big.Int) (r int) { + for _, v := range n.Bits() { + r += PopCountUintptr(uintptr(v)) + } + return +} diff --git a/vendor/modernc.org/mathutil/envelope.go b/vendor/modernc.org/mathutil/envelope.go new file mode 100644 index 0000000..71980db --- /dev/null +++ b/vendor/modernc.org/mathutil/envelope.go @@ -0,0 +1,46 @@ +// Copyright (c) 2014 The mathutil Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +package mathutil // import "modernc.org/mathutil" + +import ( + "math" +) + +// Approximation type determines approximation methods used by e.g. Envelope. +type Approximation int + +// Specific approximation method tags +const ( + _ Approximation = iota + Linear // As named + Sinusoidal // Smooth for all derivations +) + +// Envelope is an utility for defining simple curves using a small (usually) +// set of data points. Envelope returns a value defined by x, points and +// approximation. The value of x must be in [0,1) otherwise the result is +// undefined or the function may panic. Points are interpreted as dividing the +// [0,1) interval in len(points)-1 sections, so len(points) must be > 1 or the +// function may panic. According to the left and right points closing/adjacent +// to the section the resulting value is interpolated using the chosen +// approximation method. Unsupported values of approximation are silently +// interpreted as 'Linear'. +func Envelope(x float64, points []float64, approximation Approximation) float64 { + step := 1 / float64(len(points)-1) + fslot := math.Floor(x / step) + mod := x - fslot*step + slot := int(fslot) + l, r := points[slot], points[slot+1] + rmod := mod / step + switch approximation { + case Sinusoidal: + k := (math.Sin(math.Pi*(rmod-0.5)) + 1) / 2 + return l + (r-l)*k + case Linear: + fallthrough + default: + return l + (r-l)*rmod + } +} diff --git a/vendor/modernc.org/mathutil/int.go b/vendor/modernc.org/mathutil/int.go new file mode 100644 index 0000000..7c35787 --- /dev/null +++ b/vendor/modernc.org/mathutil/int.go @@ -0,0 +1,279 @@ +// Copyright (c) 2018 The mathutil Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +package mathutil // import "modernc.org/mathutil" + +import ( + "fmt" + "math" + "math/big" +) + +var ( + // MaxInt128 represents the maximun Int128 value as big.Int + MaxInt128 *big.Int + // MinInt128 represents the minimun Int128 value as big.Int + MinInt128 *big.Int + // MaxUint128 represents the maximun Uint128 value as big.Int + MaxUint128 *big.Int +) + +func init() { + var ok bool + MaxInt128, ok = big.NewInt(0).SetString("0x7fffffff_ffffffff_ffffffff_ffffffff", 0) + if !ok { + panic("internal error") + } + + MinInt128 = big.NewInt(0).Set(MaxInt128) + MinInt128.Add(MinInt128, _1) + MinInt128.Neg(MinInt128) + + MaxUint128, ok = big.NewInt(0).SetString("0xffffffff_ffffffff_ffffffff_ffffffff", 0) + if !ok { + panic("internal error") + } +} + +const ( + maxInt128 = 1<<127 - 1 + maxUint128 = 1<<128 - 1 + minInt128 = -maxInt128 - 1 +) + +// Int128 is an 128 bit signed integer. +type Int128 struct { + Lo int64 // Bits 63..0. + Hi int64 // Bits 127..64. +} + +// Add returns the sum of x and y and a carry indication. +func (x Int128) Add(y Int128) (r Int128, cy bool) { + r.Lo = x.Lo + y.Lo + r.Hi = x.Hi + y.Hi + if uint64(r.Lo) < uint64(x.Lo) { + r.Hi++ + } + return r, (r.Cmp(x) < 0) == (y.Sign() >= 0) +} + +// BigInt returns x in the form of a big.Int. +func (x Int128) BigInt() *big.Int { + r := big.NewInt(x.Hi) + r.Lsh(r, 64) + lo := big.NewInt(0) + lo.SetUint64(uint64(x.Lo)) + return r.Add(r, lo) +} + +// Cmp compares x and y and returns: +// +// -1 if x < y +// 0 if x == y +// +1 if x > y +func (x Int128) Cmp(y Int128) int { + if x.Hi > y.Hi { + return 1 + } + + if x.Hi < y.Hi { + return -1 + } + + if uint64(x.Lo) > uint64(y.Lo) { + return 1 + } + + if uint64(x.Lo) < uint64(y.Lo) { + return -1 + } + + return 0 +} + +// Neg returns -x and an indication that x was not equal to MinInt128. +func (x Int128) Neg() (r Int128, ok bool) { + if x == (Int128{Hi: math.MinInt64}) { + return x, false + } + + x.Lo = ^x.Lo + x.Hi = ^x.Hi + r, _ = x.Add(Int128{Lo: 1}) + return r, true +} + +// SetBigInt sets x to y, returns x and an error, if any. +func (x *Int128) SetBigInt(y *big.Int) (r Int128, err error) { + if y.Cmp(MaxInt128) > 0 { + return *x, fmt.Errorf("%T.SetInt: overflow", x) + } + if y.Cmp(MinInt128) < 0 { + return *x, fmt.Errorf("%T.SetInt: underflow", x) + } + neg := y.Sign() < 0 + var z big.Int + z.Set(y) + if neg { + z.Neg(&z) + } + r.Lo = z.Int64() + z.Rsh(&z, 64) + r.Hi = z.Int64() + if neg { + r, _ = r.Neg() + } + *x = r + return r, nil +} + +// SetInt64 sets x to y and returns x. +func (x *Int128) SetInt64(y int64) (r Int128) { + r.Lo = y + if y >= 0 { + r.Hi = 0 + *x = r + return r + } + + r.Hi = -1 + *x = r + return r +} + +// SetUint64 sets x to y and returns x. +func (x *Int128) SetUint64(y uint64) (r Int128) { + r = Int128{Lo: int64(y)} + *x = r + return r +} + +// Sign returns: +// +// -1 if x < 0 +// 0 if x == 0 +// +1 if x > 0 +func (x Int128) Sign() int { + if x.Hi < 0 { + return -1 + } + + if x.Hi != 0 || x.Lo != 0 { + return 1 + } + + return 0 +} + +// String implements fmt.Stringer() +func (x Int128) String() string { return x.BigInt().String() } + +// NewInt128FromInt64 return a new Int128 value initialized to n. +func NewInt128FromInt64(n int64) (r Int128) { + r.Lo = n + if n < 0 { + r.Hi = -1 + } + return r +} + +// NewInt128FromUint64 return a new Int128 value initialized to n. +func NewInt128FromUint64(n uint64) (r Int128) { return Int128{Lo: int64(n)} } + +// NewInt128FromFloat32 returns a new Int128 value initialized to n. Result is +// not specified in n does not represent a number within the range of Int128 +// values. +func NewInt128FromFloat32(n float32) (r Int128) { + if n >= minInt128 && n <= maxInt128 { + if n >= math.MinInt64 && n <= math.MaxInt64 { + return NewInt128FromInt64(int64(n)) + } + + f := big.NewFloat(float64(n)) + bi, _ := f.Int(nil) + r.SetBigInt(bi) + } + return r +} + +// NewInt128FromFloat64 returns a new Int128 value initialized to n. Result is +// not specified in n does not represent a number within the range of Int128 +// values. +func NewInt128FromFloat64(n float64) (r Int128) { + if n >= minInt128 && n <= maxInt128 { + if n >= math.MinInt64 && n <= math.MaxInt64 { + return NewInt128FromInt64(int64(n)) + } + + f := big.NewFloat(n) + bi, _ := f.Int(nil) + r.SetBigInt(bi) + } + return r +} + +// Uint128 is an 128 bit unsigned integer. +type Uint128 struct { + Lo uint64 // Bits 63..0. + Hi uint64 // Bits 127..64. +} + +// NewUint128FromInt64 return a new Uint128 value initialized to n. +func NewUint128FromInt64(n int64) (r Uint128) { + r.Lo = uint64(n) + if n < 0 { + r.Hi = ^uint64(0) + } + return r +} + +// NewUint128FromUint64 return a new Uint128 value initialized to n. +func NewUint128FromUint64(n uint64) (r Uint128) { return Uint128{Lo: n} } + +// NewUint128FromFloat32 returns a new Uint128 value initialized to n. Result is +// not specified in n does not represent a number within the range of Uint128 +// values. +func NewUint128FromFloat32(n float32) (r Uint128) { + if n >= 0 { + if n <= math.MaxUint64 { + return NewUint128FromUint64(uint64(n)) + } + + f := big.NewFloat(float64(n)) + bi, _ := f.Int(nil) + r.SetBigInt(bi) + } + return r +} + +// NewUint128FromFloat64 returns a new Uint128 value initialized to n. Result is +// not specified in n does not represent a number within the range of Uint128 +// values. +func NewUint128FromFloat64(n float64) (r Uint128) { + if n >= 0 && n <= maxUint128 { + if n <= math.MaxUint64 { + return NewUint128FromUint64(uint64(n)) + } + + f := big.NewFloat(n) + bi, _ := f.Int(nil) + r.SetBigInt(bi) + } + return r +} + +// SetBigInt sets x to y, returns x and an error, if any. +func (x *Uint128) SetBigInt(y *big.Int) (r Uint128, err error) { + if y.Sign() < 0 || y.Cmp(MaxUint128) > 0 { + return *x, fmt.Errorf("%T.SetInt: overflow", x) + } + + var z big.Int + z.Set(y) + r.Lo = z.Uint64() + z.Rsh(&z, 64) + r.Hi = z.Uint64() + *x = r + return r, nil +} diff --git a/vendor/modernc.org/mathutil/mathutil.go b/vendor/modernc.org/mathutil/mathutil.go new file mode 100644 index 0000000..6db6640 --- /dev/null +++ b/vendor/modernc.org/mathutil/mathutil.go @@ -0,0 +1,1604 @@ +// Copyright (c) 2014 The mathutil Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +// Package mathutil provides utilities supplementing the standard 'math' and +// 'math/rand' packages. +// +// Release history and compatibility issues +// +// 2020-12-20 v1.2.1 fixes MulOverflowInt64. +// +// 2020-12-19 Added {Add,Sub,Mul}OverflowInt{8,16,32,64} +// +// 2018-10-21 Added BinaryLog +// +// 2018-04-25: New functions for determining Max/Min of nullable values. Ex: +// func MaxPtr(a, b *int) *int { +// func MinPtr(a, b *int) *int { +// func MaxBytePtr(a, b *byte) *byte { +// func MinBytePtr(a, b *byte) *byte { +// ... +// +// 2017-10-14: New variadic functions for Max/Min. Ex: +// func MaxVal(val int, vals ...int) int { +// func MinVal(val int, vals ...int) int { +// func MaxByteVal(val byte, vals ...byte) byte { +// func MinByteVal(val byte, vals ...byte) byte { +// ... +// +// 2016-10-10: New functions QuadPolyDiscriminant and QuadPolyFactors. +// +// 2013-12-13: The following functions have been REMOVED +// +// func Uint64ToBigInt(n uint64) *big.Int +// func Uint64FromBigInt(n *big.Int) (uint64, bool) +// +// 2013-05-13: The following functions are now DEPRECATED +// +// func Uint64ToBigInt(n uint64) *big.Int +// func Uint64FromBigInt(n *big.Int) (uint64, bool) +// +// These functions will be REMOVED with Go release 1.1+1. +// +// 2013-01-21: The following functions have been REMOVED +// +// func MaxInt() int +// func MinInt() int +// func MaxUint() uint +// func UintPtrBits() int +// +// They are now replaced by untyped constants +// +// MaxInt +// MinInt +// MaxUint +// UintPtrBits +// +// Additionally one more untyped constant was added +// +// IntBits +// +// This change breaks any existing code depending on the above removed +// functions. They should have not been published in the first place, that was +// unfortunate. Instead, defining such architecture and/or implementation +// specific integer limits and bit widths as untyped constants improves +// performance and allows for static dead code elimination if it depends on +// these values. Thanks to minux for pointing it out in the mail list +// (https://groups.google.com/d/msg/golang-nuts/tlPpLW6aJw8/NT3mpToH-a4J). +// +// 2012-12-12: The following functions will be DEPRECATED with Go release +// 1.0.3+1 and REMOVED with Go release 1.0.3+2, b/c of +// http://code.google.com/p/go/source/detail?r=954a79ee3ea8 +// +// func Uint64ToBigInt(n uint64) *big.Int +// func Uint64FromBigInt(n *big.Int) (uint64, bool) +package mathutil // import "modernc.org/mathutil" + +import ( + "math" + "math/big" +) + +// Architecture and/or implementation specific integer limits and bit widths. +const ( + MaxInt = 1<<(IntBits-1) - 1 + MinInt = -MaxInt - 1 + MaxUint = 1<>32&1 + ^uint(0)>>16&1 + ^uint(0)>>8&1 + 3) + UintPtrBits = 1 << (^uintptr(0)>>32&1 + ^uintptr(0)>>16&1 + ^uintptr(0)>>8&1 + 3) +) + +var ( + _1 = big.NewInt(1) + _2 = big.NewInt(2) +) + +// GCDByte returns the greatest common divisor of a and b. Based on: +// http://en.wikipedia.org/wiki/Euclidean_algorithm#Implementations +func GCDByte(a, b byte) byte { + for b != 0 { + a, b = b, a%b + } + return a +} + +// GCDUint16 returns the greatest common divisor of a and b. +func GCDUint16(a, b uint16) uint16 { + for b != 0 { + a, b = b, a%b + } + return a +} + +// GCDUint32 returns the greatest common divisor of a and b. +func GCDUint32(a, b uint32) uint32 { + for b != 0 { + a, b = b, a%b + } + return a +} + +// GCDUint64 returns the greatest common divisor of a and b. +func GCDUint64(a, b uint64) uint64 { + for b != 0 { + a, b = b, a%b + } + return a +} + +// ISqrt returns floor(sqrt(n)). Typical run time is few hundreds of ns. +func ISqrt(n uint32) (x uint32) { + if n == 0 { + return + } + + if n >= math.MaxUint16*math.MaxUint16 { + return math.MaxUint16 + } + + var px, nx uint32 + for x = n; ; px, x = x, nx { + nx = (x + n/x) / 2 + if nx == x || nx == px { + break + } + } + return +} + +// SqrtUint64 returns floor(sqrt(n)). Typical run time is about 0.5 µs. +func SqrtUint64(n uint64) (x uint64) { + if n == 0 { + return + } + + if n >= math.MaxUint32*math.MaxUint32 { + return math.MaxUint32 + } + + var px, nx uint64 + for x = n; ; px, x = x, nx { + nx = (x + n/x) / 2 + if nx == x || nx == px { + break + } + } + return +} + +// SqrtBig returns floor(sqrt(n)). It panics on n < 0. +func SqrtBig(n *big.Int) (x *big.Int) { + switch n.Sign() { + case -1: + panic(-1) + case 0: + return big.NewInt(0) + } + + var px, nx big.Int + x = big.NewInt(0) + x.SetBit(x, n.BitLen()/2+1, 1) + for { + nx.Rsh(nx.Add(x, nx.Div(n, x)), 1) + if nx.Cmp(x) == 0 || nx.Cmp(&px) == 0 { + break + } + px.Set(x) + x.Set(&nx) + } + return +} + +// Log2Byte returns log base 2 of n. It's the same as index of the highest +// bit set in n. For n == 0 -1 is returned. +func Log2Byte(n byte) int { + return log2[n] +} + +// Log2Uint16 returns log base 2 of n. It's the same as index of the highest +// bit set in n. For n == 0 -1 is returned. +func Log2Uint16(n uint16) int { + if b := n >> 8; b != 0 { + return log2[b] + 8 + } + + return log2[n] +} + +// Log2Uint32 returns log base 2 of n. It's the same as index of the highest +// bit set in n. For n == 0 -1 is returned. +func Log2Uint32(n uint32) int { + if b := n >> 24; b != 0 { + return log2[b] + 24 + } + + if b := n >> 16; b != 0 { + return log2[b] + 16 + } + + if b := n >> 8; b != 0 { + return log2[b] + 8 + } + + return log2[n] +} + +// Log2Uint64 returns log base 2 of n. It's the same as index of the highest +// bit set in n. For n == 0 -1 is returned. +func Log2Uint64(n uint64) int { + if b := n >> 56; b != 0 { + return log2[b] + 56 + } + + if b := n >> 48; b != 0 { + return log2[b] + 48 + } + + if b := n >> 40; b != 0 { + return log2[b] + 40 + } + + if b := n >> 32; b != 0 { + return log2[b] + 32 + } + + if b := n >> 24; b != 0 { + return log2[b] + 24 + } + + if b := n >> 16; b != 0 { + return log2[b] + 16 + } + + if b := n >> 8; b != 0 { + return log2[b] + 8 + } + + return log2[n] +} + +// ModPowByte computes (b^e)%m. It panics for m == 0 || b == e == 0. +// +// See also: http://en.wikipedia.org/wiki/Modular_exponentiation#Right-to-left_binary_method +func ModPowByte(b, e, m byte) byte { + if b == 0 && e == 0 { + panic(0) + } + + if m == 1 { + return 0 + } + + r := uint16(1) + for b, m := uint16(b), uint16(m); e > 0; b, e = b*b%m, e>>1 { + if e&1 == 1 { + r = r * b % m + } + } + return byte(r) +} + +// ModPowUint16 computes (b^e)%m. It panics for m == 0 || b == e == 0. +func ModPowUint16(b, e, m uint16) uint16 { + if b == 0 && e == 0 { + panic(0) + } + + if m == 1 { + return 0 + } + + r := uint32(1) + for b, m := uint32(b), uint32(m); e > 0; b, e = b*b%m, e>>1 { + if e&1 == 1 { + r = r * b % m + } + } + return uint16(r) +} + +// ModPowUint32 computes (b^e)%m. It panics for m == 0 || b == e == 0. +func ModPowUint32(b, e, m uint32) uint32 { + if b == 0 && e == 0 { + panic(0) + } + + if m == 1 { + return 0 + } + + r := uint64(1) + for b, m := uint64(b), uint64(m); e > 0; b, e = b*b%m, e>>1 { + if e&1 == 1 { + r = r * b % m + } + } + return uint32(r) +} + +// ModPowUint64 computes (b^e)%m. It panics for m == 0 || b == e == 0. +func ModPowUint64(b, e, m uint64) (r uint64) { + if b == 0 && e == 0 { + panic(0) + } + + if m == 1 { + return 0 + } + + return modPowBigInt(big.NewInt(0).SetUint64(b), big.NewInt(0).SetUint64(e), big.NewInt(0).SetUint64(m)).Uint64() +} + +func modPowBigInt(b, e, m *big.Int) (r *big.Int) { + r = big.NewInt(1) + for i, n := 0, e.BitLen(); i < n; i++ { + if e.Bit(i) != 0 { + r.Mod(r.Mul(r, b), m) + } + b.Mod(b.Mul(b, b), m) + } + return +} + +// ModPowBigInt computes (b^e)%m. Returns nil for e < 0. It panics for m == 0 || b == e == 0. +func ModPowBigInt(b, e, m *big.Int) (r *big.Int) { + if b.Sign() == 0 && e.Sign() == 0 { + panic(0) + } + + if m.Cmp(_1) == 0 { + return big.NewInt(0) + } + + if e.Sign() < 0 { + return + } + + return modPowBigInt(big.NewInt(0).Set(b), big.NewInt(0).Set(e), m) +} + +var uint64ToBigIntDelta big.Int + +func init() { + uint64ToBigIntDelta.SetBit(&uint64ToBigIntDelta, 63, 1) +} + +var uintptrBits int + +func init() { + x := uint64(math.MaxUint64) + uintptrBits = BitLenUintptr(uintptr(x)) +} + +// UintptrBits returns the bit width of an uintptr at the executing machine. +func UintptrBits() int { + return uintptrBits +} + +// AddUint128_64 returns the uint128 sum of uint64 a and b. +func AddUint128_64(a, b uint64) (hi uint64, lo uint64) { + lo = a + b + if lo < a { + hi = 1 + } + return hi, lo +} + +// MulUint128_64 returns the uint128 bit product of uint64 a and b. +func MulUint128_64(a, b uint64) (hi, lo uint64) { + /* + 2^(2 W) ahi bhi + 2^W alo bhi + 2^W ahi blo + alo blo + + FEDCBA98 76543210 FEDCBA98 76543210 + ---- alo*blo ---- + ---- alo*bhi ---- + ---- ahi*blo ---- + ---- ahi*bhi ---- + */ + const w = 32 + const m = 1<>w, b>>w, a&m, b&m + lo = alo * blo + mid1 := alo * bhi + mid2 := ahi * blo + c1, lo := AddUint128_64(lo, mid1<>w+mid2>>w+c1+c2) + return +} + +// PowerizeBigInt returns (e, p) such that e is the smallest number for which p +// == b^e is greater or equal n. For n < 0 or b < 2 (0, nil) is returned. +// +// NOTE: Run time for large values of n (above about 2^1e6 ~= 1e300000) can be +// significant and/or unacceptabe. For any smaller values of n the function +// typically performs in sub second time. For "small" values of n (cca bellow +// 2^1e3 ~= 1e300) the same can be easily below 10 µs. +// +// A special (and trivial) case of b == 2 is handled separately and performs +// much faster. +func PowerizeBigInt(b, n *big.Int) (e uint32, p *big.Int) { + switch { + case b.Cmp(_2) < 0 || n.Sign() < 0: + return + case n.Sign() == 0 || n.Cmp(_1) == 0: + return 0, big.NewInt(1) + case b.Cmp(_2) == 0: + p = big.NewInt(0) + e = uint32(n.BitLen() - 1) + p.SetBit(p, int(e), 1) + if p.Cmp(n) < 0 { + p.Mul(p, _2) + e++ + } + return + } + + bw := b.BitLen() + nw := n.BitLen() + p = big.NewInt(1) + var bb, r big.Int + for { + switch p.Cmp(n) { + case -1: + x := uint32((nw - p.BitLen()) / bw) + if x == 0 { + x = 1 + } + e += x + switch x { + case 1: + p.Mul(p, b) + default: + r.Set(_1) + bb.Set(b) + e := x + for { + if e&1 != 0 { + r.Mul(&r, &bb) + } + if e >>= 1; e == 0 { + break + } + + bb.Mul(&bb, &bb) + } + p.Mul(p, &r) + } + case 0, 1: + return + } + } +} + +// PowerizeUint32BigInt returns (e, p) such that e is the smallest number for +// which p == b^e is greater or equal n. For n < 0 or b < 2 (0, nil) is +// returned. +// +// More info: see PowerizeBigInt. +func PowerizeUint32BigInt(b uint32, n *big.Int) (e uint32, p *big.Int) { + switch { + case b < 2 || n.Sign() < 0: + return + case n.Sign() == 0 || n.Cmp(_1) == 0: + return 0, big.NewInt(1) + case b == 2: + p = big.NewInt(0) + e = uint32(n.BitLen() - 1) + p.SetBit(p, int(e), 1) + if p.Cmp(n) < 0 { + p.Mul(p, _2) + e++ + } + return + } + + var bb big.Int + bb.SetInt64(int64(b)) + return PowerizeBigInt(&bb, n) +} + +/* +ProbablyPrimeUint32 returns true if n is prime or n is a pseudoprime to base a. +It implements the Miller-Rabin primality test for one specific value of 'a' and +k == 1. + +Wrt pseudocode shown at +http://en.wikipedia.org/wiki/Miller-Rabin_primality_test#Algorithm_and_running_time + + Input: n > 3, an odd integer to be tested for primality; + Input: k, a parameter that determines the accuracy of the test + Output: composite if n is composite, otherwise probably prime + write n − 1 as 2^s·d with d odd by factoring powers of 2 from n − 1 + LOOP: repeat k times: + pick a random integer a in the range [2, n − 2] + x ← a^d mod n + if x = 1 or x = n − 1 then do next LOOP + for r = 1 .. s − 1 + x ← x^2 mod n + if x = 1 then return composite + if x = n − 1 then do next LOOP + return composite + return probably prime + +... this function behaves like passing 1 for 'k' and additionally a +fixed/non-random 'a'. Otherwise it's the same algorithm. + +See also: http://mathworld.wolfram.com/Rabin-MillerStrongPseudoprimeTest.html +*/ +func ProbablyPrimeUint32(n, a uint32) bool { + d, s := n-1, 0 + for ; d&1 == 0; d, s = d>>1, s+1 { + } + x := uint64(ModPowUint32(a, d, n)) + if x == 1 || uint32(x) == n-1 { + return true + } + + for ; s > 1; s-- { + if x = x * x % uint64(n); x == 1 { + return false + } + + if uint32(x) == n-1 { + return true + } + } + return false +} + +// ProbablyPrimeUint64_32 returns true if n is prime or n is a pseudoprime to +// base a. It implements the Miller-Rabin primality test for one specific value +// of 'a' and k == 1. See also ProbablyPrimeUint32. +func ProbablyPrimeUint64_32(n uint64, a uint32) bool { + d, s := n-1, 0 + for ; d&1 == 0; d, s = d>>1, s+1 { + } + x := ModPowUint64(uint64(a), d, n) + if x == 1 || x == n-1 { + return true + } + + bx, bn := big.NewInt(0).SetUint64(x), big.NewInt(0).SetUint64(n) + for ; s > 1; s-- { + if x = bx.Mod(bx.Mul(bx, bx), bn).Uint64(); x == 1 { + return false + } + + if x == n-1 { + return true + } + } + return false +} + +// ProbablyPrimeBigInt_32 returns true if n is prime or n is a pseudoprime to +// base a. It implements the Miller-Rabin primality test for one specific value +// of 'a' and k == 1. See also ProbablyPrimeUint32. +func ProbablyPrimeBigInt_32(n *big.Int, a uint32) bool { + var d big.Int + d.Set(n) + d.Sub(&d, _1) // d <- n-1 + s := 0 + for ; d.Bit(s) == 0; s++ { + } + nMinus1 := big.NewInt(0).Set(&d) + d.Rsh(&d, uint(s)) + + x := ModPowBigInt(big.NewInt(int64(a)), &d, n) + if x.Cmp(_1) == 0 || x.Cmp(nMinus1) == 0 { + return true + } + + for ; s > 1; s-- { + if x = x.Mod(x.Mul(x, x), n); x.Cmp(_1) == 0 { + return false + } + + if x.Cmp(nMinus1) == 0 { + return true + } + } + return false +} + +// ProbablyPrimeBigInt returns true if n is prime or n is a pseudoprime to base +// a. It implements the Miller-Rabin primality test for one specific value of +// 'a' and k == 1. See also ProbablyPrimeUint32. +func ProbablyPrimeBigInt(n, a *big.Int) bool { + var d big.Int + d.Set(n) + d.Sub(&d, _1) // d <- n-1 + s := 0 + for ; d.Bit(s) == 0; s++ { + } + nMinus1 := big.NewInt(0).Set(&d) + d.Rsh(&d, uint(s)) + + x := ModPowBigInt(a, &d, n) + if x.Cmp(_1) == 0 || x.Cmp(nMinus1) == 0 { + return true + } + + for ; s > 1; s-- { + if x = x.Mod(x.Mul(x, x), n); x.Cmp(_1) == 0 { + return false + } + + if x.Cmp(nMinus1) == 0 { + return true + } + } + return false +} + +// Max returns the larger of a and b. +func Max(a, b int) int { + if a > b { + return a + } + + return b +} + +// Min returns the smaller of a and b. +func Min(a, b int) int { + if a < b { + return a + } + + return b +} + +// MaxPtr returns a pointer to the larger of a and b, or nil. +func MaxPtr(a, b *int) *int { + if a == nil { + return b + } + if b == nil { + return a + } + if *a > *b { + return a + } + + return b +} + +// MinPtr returns a pointer to the smaller of a and b, or nil. +func MinPtr(a, b *int) *int { + if a == nil { + return b + } + if b == nil { + return a + } + if *a < *b { + return a + } + + return b +} + +// MaxVal returns the largest argument passed. +func MaxVal(val int, vals ...int) int { + res := val + for _, v := range vals { + if v > res { + res = v + } + } + return res +} + +// MinVal returns the smallest argument passed. +func MinVal(val int, vals ...int) int { + res := val + for _, v := range vals { + if v < res { + res = v + } + } + return res +} + +// Clamp returns a value restricted between lo and hi. +func Clamp(v, lo, hi int) int { + return Min(Max(v, lo), hi) +} + +// UMax returns the larger of a and b. +func UMax(a, b uint) uint { + if a > b { + return a + } + + return b +} + +// UMin returns the smaller of a and b. +func UMin(a, b uint) uint { + if a < b { + return a + } + + return b +} + +// UMaxPtr returns a pointer to the larger of a and b, or nil. +func UMaxPtr(a, b *uint) *uint { + if a == nil { + return b + } + if b == nil { + return a + } + if *a > *b { + return a + } + + return b +} + +// UMinPtr returns a pointer to the smaller of a and b, or nil. +func UMinPtr(a, b *uint) *uint { + if a == nil { + return b + } + if b == nil { + return a + } + if *a < *b { + return a + } + + return b +} + +// UMaxVal returns the largest argument passed. +func UMaxVal(val uint, vals ...uint) uint { + res := val + for _, v := range vals { + if v > res { + res = v + } + } + return res +} + +// UMinVal returns the smallest argument passed. +func UMinVal(val uint, vals ...uint) uint { + res := val + for _, v := range vals { + if v < res { + res = v + } + } + return res +} + +// UClamp returns a value restricted between lo and hi. +func UClamp(v, lo, hi uint) uint { + return UMin(UMax(v, lo), hi) +} + +// MaxByte returns the larger of a and b. +func MaxByte(a, b byte) byte { + if a > b { + return a + } + + return b +} + +// MinByte returns the smaller of a and b. +func MinByte(a, b byte) byte { + if a < b { + return a + } + + return b +} + +// MaxBytePtr returns a pointer to the larger of a and b, or nil. +func MaxBytePtr(a, b *byte) *byte { + if a == nil { + return b + } + if b == nil { + return a + } + if *a > *b { + return a + } + + return b +} + +// MinBytePtr returns a pointer to the smaller of a and b, or nil. +func MinBytePtr(a, b *byte) *byte { + if a == nil { + return b + } + if b == nil { + return a + } + if *a < *b { + return a + } + + return b +} + +// MaxByteVal returns the largest argument passed. +func MaxByteVal(val byte, vals ...byte) byte { + res := val + for _, v := range vals { + if v > res { + res = v + } + } + return res +} + +// MinByteVal returns the smallest argument passed. +func MinByteVal(val byte, vals ...byte) byte { + res := val + for _, v := range vals { + if v < res { + res = v + } + } + return res +} + +// ClampByte returns a value restricted between lo and hi. +func ClampByte(v, lo, hi byte) byte { + return MinByte(MaxByte(v, lo), hi) +} + +// MaxInt8 returns the larger of a and b. +func MaxInt8(a, b int8) int8 { + if a > b { + return a + } + + return b +} + +// MinInt8 returns the smaller of a and b. +func MinInt8(a, b int8) int8 { + if a < b { + return a + } + + return b +} + +// MaxInt8Ptr returns a pointer to the larger of a and b, or nil. +func MaxInt8Ptr(a, b *int8) *int8 { + if a == nil { + return b + } + if b == nil { + return a + } + if *a > *b { + return a + } + + return b +} + +// MinInt8Ptr returns a pointer to the smaller of a and b, or nil. +func MinInt8Ptr(a, b *int8) *int8 { + if a == nil { + return b + } + if b == nil { + return a + } + if *a < *b { + return a + } + + return b +} + +// MaxInt8Val returns the largest argument passed. +func MaxInt8Val(val int8, vals ...int8) int8 { + res := val + for _, v := range vals { + if v > res { + res = v + } + } + return res +} + +// MinInt8Val returns the smallest argument passed. +func MinInt8Val(val int8, vals ...int8) int8 { + res := val + for _, v := range vals { + if v < res { + res = v + } + } + return res +} + +// ClampInt8 returns a value restricted between lo and hi. +func ClampInt8(v, lo, hi int8) int8 { + return MinInt8(MaxInt8(v, lo), hi) +} + +// MaxUint16 returns the larger of a and b. +func MaxUint16(a, b uint16) uint16 { + if a > b { + return a + } + + return b +} + +// MinUint16 returns the smaller of a and b. +func MinUint16(a, b uint16) uint16 { + if a < b { + return a + } + + return b +} + +// MaxUint16Ptr returns a pointer to the larger of a and b, or nil. +func MaxUint16Ptr(a, b *uint16) *uint16 { + if a == nil { + return b + } + if b == nil { + return a + } + if *a > *b { + return a + } + + return b +} + +// MinUint16Ptr returns a pointer to the smaller of a and b, or nil. +func MinUint16Ptr(a, b *uint16) *uint16 { + if a == nil { + return b + } + if b == nil { + return a + } + if *a < *b { + return a + } + + return b +} + +// MaxUint16Val returns the largest argument passed. +func MaxUint16Val(val uint16, vals ...uint16) uint16 { + res := val + for _, v := range vals { + if v > res { + res = v + } + } + return res +} + +// MinUint16Val returns the smallest argument passed. +func MinUint16Val(val uint16, vals ...uint16) uint16 { + res := val + for _, v := range vals { + if v < res { + res = v + } + } + return res +} + +// ClampUint16 returns a value restricted between lo and hi. +func ClampUint16(v, lo, hi uint16) uint16 { + return MinUint16(MaxUint16(v, lo), hi) +} + +// MaxInt16 returns the larger of a and b. +func MaxInt16(a, b int16) int16 { + if a > b { + return a + } + + return b +} + +// MinInt16 returns the smaller of a and b. +func MinInt16(a, b int16) int16 { + if a < b { + return a + } + + return b +} + +// MaxInt16Ptr returns a pointer to the larger of a and b, or nil. +func MaxInt16Ptr(a, b *int16) *int16 { + if a == nil { + return b + } + if b == nil { + return a + } + if *a > *b { + return a + } + + return b +} + +// MinInt16Ptr returns a pointer to the smaller of a and b, or nil. +func MinInt16Ptr(a, b *int16) *int16 { + if a == nil { + return b + } + if b == nil { + return a + } + if *a < *b { + return a + } + + return b +} + +// MaxInt16Val returns the largest argument passed. +func MaxInt16Val(val int16, vals ...int16) int16 { + res := val + for _, v := range vals { + if v > res { + res = v + } + } + return res +} + +// MinInt16Val returns the smallest argument passed. +func MinInt16Val(val int16, vals ...int16) int16 { + res := val + for _, v := range vals { + if v < res { + res = v + } + } + return res +} + +// ClampInt16 returns a value restricted between lo and hi. +func ClampInt16(v, lo, hi int16) int16 { + return MinInt16(MaxInt16(v, lo), hi) +} + +// MaxUint32 returns the larger of a and b. +func MaxUint32(a, b uint32) uint32 { + if a > b { + return a + } + + return b +} + +// MinUint32 returns the smaller of a and b. +func MinUint32(a, b uint32) uint32 { + if a < b { + return a + } + + return b +} + +// MaxUint32Ptr returns a pointer to the larger of a and b, or nil. +func MaxUint32Ptr(a, b *uint32) *uint32 { + if a == nil { + return b + } + if b == nil { + return a + } + if *a > *b { + return a + } + + return b +} + +// MinUint32Ptr returns a pointer to the smaller of a and b, or nil. +func MinUint32Ptr(a, b *uint32) *uint32 { + if a == nil { + return b + } + if b == nil { + return a + } + if *a < *b { + return a + } + + return b +} + +// MaxUint32Val returns the largest argument passed. +func MaxUint32Val(val uint32, vals ...uint32) uint32 { + res := val + for _, v := range vals { + if v > res { + res = v + } + } + return res +} + +// MinUint32Val returns the smallest argument passed. +func MinUint32Val(val uint32, vals ...uint32) uint32 { + res := val + for _, v := range vals { + if v < res { + res = v + } + } + return res +} + +// ClampUint32 returns a value restricted between lo and hi. +func ClampUint32(v, lo, hi uint32) uint32 { + return MinUint32(MaxUint32(v, lo), hi) +} + +// MaxInt32 returns the larger of a and b. +func MaxInt32(a, b int32) int32 { + if a > b { + return a + } + + return b +} + +// MinInt32 returns the smaller of a and b. +func MinInt32(a, b int32) int32 { + if a < b { + return a + } + + return b +} + +// MaxInt32Ptr returns a pointer to the larger of a and b, or nil. +func MaxInt32Ptr(a, b *int32) *int32 { + if a == nil { + return b + } + if b == nil { + return a + } + if *a > *b { + return a + } + + return b +} + +// MinInt32Ptr returns a pointer to the smaller of a and b, or nil. +func MinInt32Ptr(a, b *int32) *int32 { + if a == nil { + return b + } + if b == nil { + return a + } + if *a < *b { + return a + } + + return b +} + +// MaxInt32Val returns the largest argument passed. +func MaxInt32Val(val int32, vals ...int32) int32 { + res := val + for _, v := range vals { + if v > res { + res = v + } + } + return res +} + +// MinInt32Val returns the smallest argument passed. +func MinInt32Val(val int32, vals ...int32) int32 { + res := val + for _, v := range vals { + if v < res { + res = v + } + } + return res +} + +// ClampInt32 returns a value restricted between lo and hi. +func ClampInt32(v, lo, hi int32) int32 { + return MinInt32(MaxInt32(v, lo), hi) +} + +// MaxUint64 returns the larger of a and b. +func MaxUint64(a, b uint64) uint64 { + if a > b { + return a + } + + return b +} + +// MinUint64 returns the smaller of a and b. +func MinUint64(a, b uint64) uint64 { + if a < b { + return a + } + + return b +} + +// MaxUint64Ptr returns a pointer to the larger of a and b, or nil. +func MaxUint64Ptr(a, b *uint64) *uint64 { + if a == nil { + return b + } + if b == nil { + return a + } + if *a > *b { + return a + } + + return b +} + +// MinUint64Ptr returns a pointer to the smaller of a and b, or nil. +func MinUint64Ptr(a, b *uint64) *uint64 { + if a == nil { + return b + } + if b == nil { + return a + } + if *a < *b { + return a + } + + return b +} + +// MaxUint64Val returns the largest argument passed. +func MaxUint64Val(val uint64, vals ...uint64) uint64 { + res := val + for _, v := range vals { + if v > res { + res = v + } + } + return res +} + +// MinUint64Val returns the smallest argument passed. +func MinUint64Val(val uint64, vals ...uint64) uint64 { + res := val + for _, v := range vals { + if v < res { + res = v + } + } + return res +} + +// ClampUint64 returns a value restricted between lo and hi. +func ClampUint64(v, lo, hi uint64) uint64 { + return MinUint64(MaxUint64(v, lo), hi) +} + +// MaxInt64 returns the larger of a and b. +func MaxInt64(a, b int64) int64 { + if a > b { + return a + } + + return b +} + +// MinInt64 returns the smaller of a and b. +func MinInt64(a, b int64) int64 { + if a < b { + return a + } + + return b +} + +// MaxInt64Ptr returns a pointer to the larger of a and b, or nil. +func MaxInt64Ptr(a, b *int64) *int64 { + if a == nil { + return b + } + if b == nil { + return a + } + if *a > *b { + return a + } + + return b +} + +// MinInt64Ptr returns a pointer to the smaller of a and b, or nil. +func MinInt64Ptr(a, b *int64) *int64 { + if a == nil { + return b + } + if b == nil { + return a + } + if *a < *b { + return a + } + + return b +} + +// MaxInt64Val returns the largest argument passed. +func MaxInt64Val(val int64, vals ...int64) int64 { + res := val + for _, v := range vals { + if v > res { + res = v + } + } + return res +} + +// MinInt64Val returns the smallest argument passed. +func MinInt64Val(val int64, vals ...int64) int64 { + res := val + for _, v := range vals { + if v < res { + res = v + } + } + return res +} + +// ClampInt64 returns a value restricted between lo and hi. +func ClampInt64(v, lo, hi int64) int64 { + return MinInt64(MaxInt64(v, lo), hi) +} + +// ToBase produces n in base b. For example +// +// ToBase(2047, 22) -> [1, 5, 4] +// +// 1 * 22^0 1 +// 5 * 22^1 110 +// 4 * 22^2 1936 +// ---- +// 2047 +// +// ToBase panics for bases < 2. +func ToBase(n *big.Int, b int) []int { + var nn big.Int + nn.Set(n) + if b < 2 { + panic("invalid base") + } + + k := 1 + switch nn.Sign() { + case -1: + nn.Neg(&nn) + k = -1 + case 0: + return []int{0} + } + + bb := big.NewInt(int64(b)) + var r []int + rem := big.NewInt(0) + for nn.Sign() != 0 { + nn.QuoRem(&nn, bb, rem) + r = append(r, k*int(rem.Int64())) + } + return r +} + +// CheckAddInt64 returns the a+b and an indicator that the result is greater +// than math.MaxInt64. +func CheckAddInt64(a, b int64) (sum int64, gt bool) { + return a + b, a > 0 && b > math.MaxInt64-a || a < 0 && b < math.MinInt64-a +} + +// CheckSubInt64 returns a-b and an indicator that the result is less than than +// math.MinInt64. +func CheckSubInt64(a, b int64) (sum int64, lt bool) { + return a - b, a > 0 && a-math.MaxInt64 > b || a < 0 && a-math.MinInt64 < b +} + +// AddOverflowInt8 returns a + b and an indication whether the addition +// overflowed the int8 range. +func AddOverflowInt8(a, b int8) (r int8, ovf bool) { + r = a + b + if a > 0 && b > 0 { + return r, uint8(r) > math.MaxInt8 + } + + if a < 0 && b < 0 { + return r, uint8(r) <= math.MaxInt8 + } + + return r, false +} + +// AddOverflowInt16 returns a + b and an indication whether the addition +// overflowed the int16 range. +func AddOverflowInt16(a, b int16) (r int16, ovf bool) { + r = a + b + if a > 0 && b > 0 { + return r, uint16(r) > math.MaxInt16 + } + + if a < 0 && b < 0 { + return r, uint16(r) <= math.MaxInt16 + } + + return r, false +} + +// AddOverflowInt32 returns a + b and an indication whether the addition +// overflowed the int32 range. +func AddOverflowInt32(a, b int32) (r int32, ovf bool) { + r = a + b + if a > 0 && b > 0 { + return r, uint32(r) > math.MaxInt32 + } + + if a < 0 && b < 0 { + return r, uint32(r) <= math.MaxInt32 + } + + return r, false +} + +// AddOverflowInt64 returns a + b and an indication whether the addition +// overflowed the int64 range. +func AddOverflowInt64(a, b int64) (r int64, ovf bool) { + r = a + b + if a > 0 && b > 0 { + return r, uint64(r) > math.MaxInt64 + } + + if a < 0 && b < 0 { + return r, uint64(r) <= math.MaxInt64 + } + + return r, false +} + +// SubOverflowInt8 returns a - b and an indication whether the subtraction +// overflowed the int8 range. +func SubOverflowInt8(a, b int8) (r int8, ovf bool) { + r = a - b + if a >= 0 && b < 0 { + return r, uint8(r) >= math.MaxInt8+1 + } + + if a < 0 && b > 0 { + return r, uint8(r) <= math.MaxInt8 + } + + return r, false +} + +// SubOverflowInt16 returns a - b and an indication whether the subtraction +// overflowed the int16 range. +func SubOverflowInt16(a, b int16) (r int16, ovf bool) { + r = a - b + if a >= 0 && b < 0 { + return r, uint16(r) >= math.MaxInt16+1 + } + + if a < 0 && b > 0 { + return r, uint16(r) <= math.MaxInt16 + } + + return r, false +} + +// SubOverflowInt32 returns a - b and an indication whether the subtraction +// overflowed the int32 range. +func SubOverflowInt32(a, b int32) (r int32, ovf bool) { + r = a - b + if a >= 0 && b < 0 { + return r, uint32(r) >= math.MaxInt32+1 + } + + if a < 0 && b > 0 { + return r, uint32(r) <= math.MaxInt32 + } + + return r, false +} + +// SubOverflowInt64 returns a - b and an indication whether the subtraction +// overflowed the int64 range. +func SubOverflowInt64(a, b int64) (r int64, ovf bool) { + r = a - b + if a >= 0 && b < 0 { + return r, uint64(r) >= math.MaxInt64+1 + } + + if a < 0 && b > 0 { + return r, uint64(r) <= math.MaxInt64 + } + + return r, false +} + +// MulOverflowInt8 returns a * b and an indication whether the product +// overflowed the int8 range. +func MulOverflowInt8(a, b int8) (r int8, ovf bool) { + if a == 0 || b == 0 { + return 0, false + } + + z := int16(a) * int16(b) + return int8(z), z < math.MinInt8 || z > math.MaxInt8 +} + +// MulOverflowInt16 returns a * b and an indication whether the product +// overflowed the int16 range. +func MulOverflowInt16(a, b int16) (r int16, ovf bool) { + if a == 0 || b == 0 { + return 0, false + } + + z := int32(a) * int32(b) + return int16(z), z < math.MinInt16 || z > math.MaxInt16 +} + +// MulOverflowInt32 returns a * b and an indication whether the product +// overflowed the int32 range. +func MulOverflowInt32(a, b int32) (r int32, ovf bool) { + if a == 0 || b == 0 { + return 0, false + } + + z := int64(a) * int64(b) + return int32(z), z < math.MinInt32 || z > math.MaxInt32 +} + +// MulOverflowInt64 returns a * b and an indication whether the product +// overflowed the int64 range. +func MulOverflowInt64(a, b int64) (r int64, ovf bool) { + // https://groups.google.com/g/golang-nuts/c/h5oSN5t3Au4/m/KaNQREhZh0QJ + const mostPositive = 1<<63 - 1 + const mostNegative = -(mostPositive + 1) + r = a * b + if a == 0 || b == 0 || a == 1 || b == 1 { + return r, false + } + + if a == mostNegative || b == mostNegative { + return r, true + } + + return r, r/b != a +} diff --git a/vendor/modernc.org/mathutil/nist-sts-2-1-1-report b/vendor/modernc.org/mathutil/nist-sts-2-1-1-report new file mode 100644 index 0000000..20e686c --- /dev/null +++ b/vendor/modernc.org/mathutil/nist-sts-2-1-1-report @@ -0,0 +1,267 @@ +$ ./example -max 100000000 > rnd.dat +$ ./assess 1000000 + G E N E R A T O R S E L E C T I O N + ______________________________________ + + [0] Input File [1] Linear Congruential + [2] Quadratic Congruential I [3] Quadratic Congruential II + [4] Cubic Congruential [5] XOR + [6] Modular Exponentiation [7] Blum-Blum-Shub + [8] Micali-Schnorr [9] G Using SHA-1 + + Enter Choice: 0 + + + User Prescribed Input File: rnd.dat + + S T A T I S T I C A L T E S T S + _________________________________ + + [01] Frequency [02] Block Frequency + [03] Cumulative Sums [04] Runs + [05] Longest Run of Ones [06] Rank + [07] Discrete Fourier Transform [08] Nonperiodic Template Matchings + [09] Overlapping Template Matchings [10] Universal Statistical + [11] Approximate Entropy [12] Random Excursions + [13] Random Excursions Variant [14] Serial + [15] Linear Complexity + + INSTRUCTIONS + Enter 0 if you DO NOT want to apply all of the + statistical tests to each sequence and 1 if you DO. + + Enter Choice: 1 + + P a r a m e t e r A d j u s t m e n t s + ----------------------------------------- + [1] Block Frequency Test - block length(M): 128 + [2] NonOverlapping Template Test - block length(m): 9 + [3] Overlapping Template Test - block length(m): 9 + [4] Approximate Entropy Test - block length(m): 10 + [5] Serial Test - block length(m): 16 + [6] Linear Complexity Test - block length(M): 500 + + Select Test (0 to continue): 0 + + How many bitstreams? 200 + + Input File Format: + [0] ASCII - A sequence of ASCII 0's and 1's + [1] Binary - Each byte in data file contains 8 bits of data + + Select input mode: 1 + + Statistical Testing In Progress......... + + Statistical Testing Complete!!!!!!!!!!!! + +$ cat experiments/AlgorithmTesting/finalAnalysisReport.txt +------------------------------------------------------------------------------ +RESULTS FOR THE UNIFORMITY OF P-VALUES AND THE PROPORTION OF PASSING SEQUENCES +------------------------------------------------------------------------------ + generator is +------------------------------------------------------------------------------ + C1 C2 C3 C4 C5 C6 C7 C8 C9 C10 P-VALUE PROPORTION STATISTICAL TEST +------------------------------------------------------------------------------ + 28 22 17 19 15 8 24 23 19 25 0.093720 198/200 Frequency + 20 18 24 14 18 17 16 28 21 24 0.504219 199/200 BlockFrequency + 25 22 17 24 19 21 22 15 16 19 0.825505 197/200 CumulativeSums + 27 17 16 22 14 26 14 25 19 20 0.304126 199/200 CumulativeSums + 22 19 14 23 22 22 13 28 13 24 0.224821 199/200 Runs + 20 24 18 21 15 13 22 23 24 20 0.719747 197/200 LongestRun + 22 26 18 22 26 15 17 22 20 12 0.410055 199/200 Rank + 25 22 26 22 20 16 20 20 16 13 0.585209 195/200 FFT + 22 11 15 26 33 24 21 13 14 21 0.013102 197/200 NonOverlappingTemplate + 17 11 16 27 19 24 19 20 28 19 0.219006 200/200 NonOverlappingTemplate + 23 27 24 15 21 11 18 27 15 19 0.162606 197/200 NonOverlappingTemplate + 21 18 13 20 19 23 20 17 26 23 0.749884 197/200 NonOverlappingTemplate + 24 22 24 24 24 21 13 15 17 16 0.494392 196/200 NonOverlappingTemplate + 24 16 23 15 23 18 25 16 18 22 0.699313 199/200 NonOverlappingTemplate + 19 23 21 16 27 18 17 20 18 21 0.859637 198/200 NonOverlappingTemplate + 12 20 16 19 26 14 30 20 24 19 0.141256 198/200 NonOverlappingTemplate + 18 21 17 21 20 14 25 19 24 21 0.859637 198/200 NonOverlappingTemplate + 24 25 21 18 23 15 23 17 16 18 0.749884 199/200 NonOverlappingTemplate + 20 22 22 18 16 22 28 16 14 22 0.574903 198/200 NonOverlappingTemplate + 18 23 22 17 24 25 19 16 23 13 0.626709 199/200 NonOverlappingTemplate + 17 22 14 19 21 21 18 19 24 25 0.842937 198/200 NonOverlappingTemplate + 18 17 26 21 22 15 22 18 21 20 0.883171 197/200 NonOverlappingTemplate + 19 25 16 32 15 19 20 18 16 20 0.236810 199/200 NonOverlappingTemplate + 19 18 15 21 24 22 18 21 20 22 0.964295 200/200 NonOverlappingTemplate + 21 14 17 23 26 19 20 22 20 18 0.834308 196/200 NonOverlappingTemplate + 15 21 17 27 26 23 21 17 24 9 0.129620 198/200 NonOverlappingTemplate + 25 17 19 19 18 22 21 22 21 16 0.951205 196/200 NonOverlappingTemplate + 20 19 24 21 19 24 16 18 17 22 0.946308 197/200 NonOverlappingTemplate + 27 16 19 18 23 19 22 17 22 17 0.807412 197/200 NonOverlappingTemplate + 14 18 21 23 23 20 14 22 20 25 0.719747 198/200 NonOverlappingTemplate + 18 22 19 12 24 25 25 22 18 15 0.474986 198/200 NonOverlappingTemplate + 21 18 23 17 19 18 28 19 20 17 0.825505 198/200 NonOverlappingTemplate + 20 19 15 16 27 20 26 17 20 20 0.657933 198/200 NonOverlappingTemplate + 17 25 21 21 11 19 22 16 27 21 0.401199 198/200 NonOverlappingTemplate + 19 16 15 18 24 19 25 25 19 20 0.769527 199/200 NonOverlappingTemplate + 18 20 20 26 20 12 24 25 19 16 0.524101 198/200 NonOverlappingTemplate + 14 16 18 23 21 21 19 19 28 21 0.668321 197/200 NonOverlappingTemplate + 21 20 23 25 21 22 19 17 14 18 0.875539 197/200 NonOverlappingTemplate + 14 16 29 22 23 13 20 29 17 17 0.099513 197/200 NonOverlappingTemplate + 14 19 27 19 17 23 18 24 20 19 0.709558 199/200 NonOverlappingTemplate + 18 15 21 19 27 22 21 23 17 17 0.779188 198/200 NonOverlappingTemplate + 13 23 13 22 22 23 22 21 21 20 0.689019 199/200 NonOverlappingTemplate + 17 14 26 26 16 21 30 15 21 14 0.096578 199/200 NonOverlappingTemplate + 18 21 24 23 21 13 23 23 19 15 0.719747 197/200 NonOverlappingTemplate + 19 21 14 32 20 15 16 18 24 21 0.202268 199/200 NonOverlappingTemplate + 27 22 20 21 21 14 15 22 14 24 0.474986 196/200 NonOverlappingTemplate + 31 12 25 11 21 18 19 16 24 23 0.050305 197/200 NonOverlappingTemplate + 17 26 20 22 15 27 22 19 12 20 0.383827 199/200 NonOverlappingTemplate + 15 22 14 14 31 15 27 18 23 21 0.078086 194/200 NonOverlappingTemplate + 19 19 14 15 24 21 25 21 20 22 0.788728 197/200 NonOverlappingTemplate + 20 21 19 22 25 18 13 24 28 10 0.153763 195/200 NonOverlappingTemplate + 23 17 21 25 21 20 13 30 14 16 0.196920 196/200 NonOverlappingTemplate + 17 31 17 22 16 15 28 23 11 20 0.050305 197/200 NonOverlappingTemplate + 15 21 26 27 15 18 19 21 18 20 0.605916 198/200 NonOverlappingTemplate + 23 18 15 14 20 21 20 20 20 29 0.554420 200/200 NonOverlappingTemplate + 22 19 19 18 19 17 22 21 31 12 0.311542 199/200 NonOverlappingTemplate + 16 22 23 21 19 19 18 24 21 17 0.960198 197/200 NonOverlappingTemplate + 21 21 17 20 16 23 25 22 18 17 0.917870 200/200 NonOverlappingTemplate + 27 17 17 16 21 20 22 18 21 21 0.859637 197/200 NonOverlappingTemplate + 18 24 15 27 18 21 18 16 24 19 0.657933 199/200 NonOverlappingTemplate + 13 16 21 21 15 25 18 22 29 20 0.326749 198/200 NonOverlappingTemplate + 18 17 23 23 15 19 26 30 11 18 0.125927 198/200 NonOverlappingTemplate + 30 21 18 22 17 21 15 17 21 18 0.544254 195/200 NonOverlappingTemplate + 12 18 19 24 16 24 18 24 28 17 0.311542 199/200 NonOverlappingTemplate + 20 15 23 15 18 30 23 18 17 21 0.410055 196/200 NonOverlappingTemplate + 15 18 23 16 29 21 22 16 19 21 0.544254 200/200 NonOverlappingTemplate + 18 16 27 13 21 22 22 21 16 24 0.534146 199/200 NonOverlappingTemplate + 20 25 18 21 16 21 17 28 21 13 0.484646 200/200 NonOverlappingTemplate + 23 22 13 22 14 20 26 18 19 23 0.574903 197/200 NonOverlappingTemplate + 21 24 25 13 19 22 18 13 24 21 0.504219 199/200 NonOverlappingTemplate + 19 13 18 25 22 15 23 28 19 18 0.410055 195/200 NonOverlappingTemplate + 20 15 27 22 26 26 14 13 21 16 0.181557 198/200 NonOverlappingTemplate + 18 18 19 23 18 20 19 21 24 20 0.991468 200/200 NonOverlappingTemplate + 18 23 17 14 20 25 22 22 22 17 0.816537 198/200 NonOverlappingTemplate + 26 15 15 11 23 21 21 16 36 16 0.005557 196/200 NonOverlappingTemplate + 27 13 21 23 21 16 19 20 16 24 0.544254 198/200 NonOverlappingTemplate + 16 15 32 17 20 23 22 19 20 16 0.262249 200/200 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23 22 20 22 15 22 21 18 17 0.964295 198/200 NonOverlappingTemplate + 22 31 16 26 13 19 17 22 24 10 0.037566 197/200 NonOverlappingTemplate + 18 24 22 14 23 19 16 18 19 27 0.637119 197/200 NonOverlappingTemplate + 19 20 21 22 21 18 19 22 20 18 0.999438 198/200 NonOverlappingTemplate + 27 15 21 18 28 18 15 23 18 17 0.375313 195/200 NonOverlappingTemplate + 26 23 20 20 23 19 20 23 14 12 0.514124 199/200 NonOverlappingTemplate + 18 19 11 15 21 24 20 26 23 23 0.428095 198/200 NonOverlappingTemplate + 19 16 21 25 19 21 15 24 24 16 0.749884 197/200 NonOverlappingTemplate + 17 26 23 18 20 26 23 14 18 15 0.494392 198/200 NonOverlappingTemplate + 15 17 19 24 21 23 17 25 23 16 0.739918 196/200 NonOverlappingTemplate + 26 19 20 20 24 22 22 13 14 20 0.605916 198/200 OverlappingTemplate + 29 24 17 21 18 13 18 21 17 22 0.446556 196/200 Universal + 22 18 22 20 20 21 22 21 18 16 0.992952 198/200 ApproximateEntropy + 14 8 13 9 11 13 13 8 7 10 0.719747 106/106 RandomExcursions + 13 18 9 7 12 12 9 6 12 8 0.236810 104/106 RandomExcursions + 11 15 10 7 11 14 9 6 12 11 0.595549 106/106 RandomExcursions + 15 7 12 12 9 11 16 8 10 6 0.350485 106/106 RandomExcursions + 10 10 12 16 10 12 10 7 13 6 0.554420 106/106 RandomExcursions + 8 7 12 10 11 16 11 13 10 8 0.657933 106/106 RandomExcursions + 9 6 12 12 14 9 11 13 10 10 0.816537 104/106 RandomExcursions + 10 10 7 12 11 9 10 13 14 10 0.911413 105/106 RandomExcursions + 8 8 12 9 10 5 13 12 17 12 0.319084 104/106 RandomExcursionsVariant + 5 11 10 11 7 11 10 15 11 15 0.455937 104/106 RandomExcursionsVariant + 6 12 11 8 12 12 12 13 13 7 0.699313 104/106 RandomExcursionsVariant + 14 10 11 6 12 9 8 12 11 13 0.779188 104/106 RandomExcursionsVariant + 12 12 10 7 17 6 6 12 13 11 0.262249 103/106 RandomExcursionsVariant + 13 8 14 13 7 6 6 13 15 11 0.249284 102/106 RandomExcursionsVariant + 12 12 12 13 7 9 6 13 12 10 0.739918 105/106 RandomExcursionsVariant + 13 15 12 8 9 10 6 9 14 10 0.574903 106/106 RandomExcursionsVariant + 10 15 9 12 14 10 8 11 7 10 0.739918 105/106 RandomExcursionsVariant + 13 12 8 11 12 11 9 10 11 9 0.978072 103/106 RandomExcursionsVariant + 10 13 12 12 8 13 8 9 14 7 0.739918 104/106 RandomExcursionsVariant + 12 10 10 14 7 8 7 13 14 11 0.657933 106/106 RandomExcursionsVariant + 10 13 10 10 13 10 12 6 10 12 0.897763 106/106 RandomExcursionsVariant + 9 12 15 8 13 8 12 8 11 10 0.779188 106/106 RandomExcursionsVariant + 9 13 15 10 10 10 8 14 6 11 0.616305 106/106 RandomExcursionsVariant + 7 17 9 12 9 11 10 16 4 11 0.129620 106/106 RandomExcursionsVariant + 10 9 10 15 7 12 7 8 12 16 0.419021 106/106 RandomExcursionsVariant + 9 12 11 8 8 9 15 12 9 13 0.798139 106/106 RandomExcursionsVariant + 17 34 11 22 22 17 19 20 13 25 0.026057 199/200 Serial + 22 20 16 22 20 18 20 18 23 21 0.989786 199/200 Serial + 12 33 25 29 21 11 21 15 14 19 0.003996 199/200 LinearComplexity + + +- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - +The minimum pass rate for each statistical test with the exception of the +random excursion (variant) test is approximately = 193 for a +sample size = 200 binary sequences. + +The minimum pass rate for the random excursion (variant) test +is approximately = 101 for a sample size = 106 binary sequences. + +For further guidelines construct a probability table using the MAPLE program +provided in the addendum section of the documentation. +- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - +$ diff --git a/vendor/modernc.org/mathutil/permute.go b/vendor/modernc.org/mathutil/permute.go new file mode 100644 index 0000000..e2ff3d6 --- /dev/null +++ b/vendor/modernc.org/mathutil/permute.go @@ -0,0 +1,39 @@ +// Copyright (c) 2014 The mathutil Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +package mathutil // import "modernc.org/mathutil" + +import ( + "sort" +) + +// PermutationFirst generates the first permutation of data. +func PermutationFirst(data sort.Interface) { + sort.Sort(data) +} + +// PermutationNext generates the next permutation of data if possible and +// return true. Return false if there is no more permutation left. Based on +// the algorithm described here: +// http://en.wikipedia.org/wiki/Permutation#Generation_in_lexicographic_order +func PermutationNext(data sort.Interface) bool { + var k, l int + for k = data.Len() - 2; ; k-- { // 1. + if k < 0 { + return false + } + + if data.Less(k, k+1) { + break + } + } + for l = data.Len() - 1; !data.Less(k, l); l-- { // 2. + } + data.Swap(k, l) // 3. + for i, j := k+1, data.Len()-1; i < j; i++ { // 4. + data.Swap(i, j) + j-- + } + return true +} diff --git a/vendor/modernc.org/mathutil/poly.go b/vendor/modernc.org/mathutil/poly.go new file mode 100644 index 0000000..c15e696 --- /dev/null +++ b/vendor/modernc.org/mathutil/poly.go @@ -0,0 +1,248 @@ +// Copyright (c) 2016 The mathutil Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +package mathutil // import "modernc.org/mathutil" + +import ( + "fmt" + "math/big" +) + +func abs(n int) uint64 { + if n >= 0 { + return uint64(n) + } + + return uint64(-n) +} + +// QuadPolyDiscriminant returns the discriminant of a quadratic polynomial in +// one variable of the form a*x^2+b*x+c with integer coefficients a, b, c, or +// an error on overflow. +// +// ds is the square of the discriminant. If |ds| is a square number, d is set +// to sqrt(|ds|), otherwise d is < 0. +func QuadPolyDiscriminant(a, b, c int) (ds, d int, _ error) { + if 2*BitLenUint64(abs(b)) > IntBits-1 || + 2+BitLenUint64(abs(a))+BitLenUint64(abs(c)) > IntBits-1 { + return 0, 0, fmt.Errorf("overflow") + } + + ds = b*b - 4*a*c + s := ds + if s < 0 { + s = -s + } + d64 := SqrtUint64(uint64(s)) + if d64*d64 != uint64(s) { + return ds, -1, nil + } + + return ds, int(d64), nil +} + +// PolyFactor describes an irreducible factor of a polynomial in one variable +// with integer coefficients P, Q of the form P*x+Q. +type PolyFactor struct { + P, Q int +} + +// QuadPolyFactors returns the content and the irreducible factors of the +// primitive part of a quadratic polynomial in one variable with integer +// coefficients a, b, c of the form a*x^2+b*x+c in integers, or an error on +// overflow. +// +// If the factorization in integers does not exists, the return value is (0, +// nil, nil). +// +// See also: +// https://en.wikipedia.org/wiki/Factorization_of_polynomials#Primitive_part.E2.80.93content_factorization +func QuadPolyFactors(a, b, c int) (content int, primitivePart []PolyFactor, _ error) { + content = int(GCDUint64(abs(a), GCDUint64(abs(b), abs(c)))) + switch { + case content == 0: + content = 1 + case content > 0: + if a < 0 || a == 0 && b < 0 { + content = -content + } + } + a /= content + b /= content + c /= content + if a == 0 { + if b == 0 { + return content, []PolyFactor{{0, c}}, nil + } + + if b < 0 && c < 0 { + b = -b + c = -c + } + if b < 0 { + b = -b + c = -c + } + return content, []PolyFactor{{b, c}}, nil + } + + ds, d, err := QuadPolyDiscriminant(a, b, c) + if err != nil { + return 0, nil, err + } + + if ds < 0 || d < 0 { + return 0, nil, nil + } + + x1num := -b + d + x1denom := 2 * a + gcd := int(GCDUint64(abs(x1num), abs(x1denom))) + x1num /= gcd + x1denom /= gcd + + x2num := -b - d + x2denom := 2 * a + gcd = int(GCDUint64(abs(x2num), abs(x2denom))) + x2num /= gcd + x2denom /= gcd + + return content, []PolyFactor{{x1denom, -x1num}, {x2denom, -x2num}}, nil +} + +// QuadPolyDiscriminantBig returns the discriminant of a quadratic polynomial +// in one variable of the form a*x^2+b*x+c with integer coefficients a, b, c. +// +// ds is the square of the discriminant. If |ds| is a square number, d is set +// to sqrt(|ds|), otherwise d is nil. +func QuadPolyDiscriminantBig(a, b, c *big.Int) (ds, d *big.Int) { + ds = big.NewInt(0).Set(b) + ds.Mul(ds, b) + x := big.NewInt(4) + x.Mul(x, a) + x.Mul(x, c) + ds.Sub(ds, x) + + s := big.NewInt(0).Set(ds) + if s.Sign() < 0 { + s.Neg(s) + } + + if s.Bit(1) != 0 { // s is not a square number + return ds, nil + } + + d = SqrtBig(s) + x.Set(d) + x.Mul(x, x) + if x.Cmp(s) != 0 { // s is not a square number + d = nil + } + return ds, d +} + +// PolyFactorBig describes an irreducible factor of a polynomial in one +// variable with integer coefficients P, Q of the form P*x+Q. +type PolyFactorBig struct { + P, Q *big.Int +} + +// QuadPolyFactorsBig returns the content and the irreducible factors of the +// primitive part of a quadratic polynomial in one variable with integer +// coefficients a, b, c of the form a*x^2+b*x+c in integers. +// +// If the factorization in integers does not exists, the return value is (nil, +// nil). +// +// See also: +// https://en.wikipedia.org/wiki/Factorization_of_polynomials#Primitive_part.E2.80.93content_factorization +func QuadPolyFactorsBig(a, b, c *big.Int) (content *big.Int, primitivePart []PolyFactorBig) { + content = bigGCD(bigAbs(a), bigGCD(bigAbs(b), bigAbs(c))) + switch { + case content.Sign() == 0: + content.SetInt64(1) + case content.Sign() > 0: + if a.Sign() < 0 || a.Sign() == 0 && b.Sign() < 0 { + content = bigNeg(content) + } + } + a = bigDiv(a, content) + b = bigDiv(b, content) + c = bigDiv(c, content) + + if a.Sign() == 0 { + if b.Sign() == 0 { + return content, []PolyFactorBig{{big.NewInt(0), c}} + } + + if b.Sign() < 0 && c.Sign() < 0 { + b = bigNeg(b) + c = bigNeg(c) + } + if b.Sign() < 0 { + b = bigNeg(b) + c = bigNeg(c) + } + return content, []PolyFactorBig{{b, c}} + } + + ds, d := QuadPolyDiscriminantBig(a, b, c) + if ds.Sign() < 0 || d == nil { + return nil, nil + } + + x1num := bigAdd(bigNeg(b), d) + x1denom := bigMul(_2, a) + gcd := bigGCD(bigAbs(x1num), bigAbs(x1denom)) + x1num = bigDiv(x1num, gcd) + x1denom = bigDiv(x1denom, gcd) + + x2num := bigAdd(bigNeg(b), bigNeg(d)) + x2denom := bigMul(_2, a) + gcd = bigGCD(bigAbs(x2num), bigAbs(x2denom)) + x2num = bigDiv(x2num, gcd) + x2denom = bigDiv(x2denom, gcd) + + return content, []PolyFactorBig{{x1denom, bigNeg(x1num)}, {x2denom, bigNeg(x2num)}} +} + +func bigAbs(n *big.Int) *big.Int { + n = big.NewInt(0).Set(n) + if n.Sign() >= 0 { + return n + } + + return n.Neg(n) +} + +func bigDiv(a, b *big.Int) *big.Int { + a = big.NewInt(0).Set(a) + return a.Div(a, b) +} + +func bigGCD(a, b *big.Int) *big.Int { + a = big.NewInt(0).Set(a) + b = big.NewInt(0).Set(b) + for b.Sign() != 0 { + c := big.NewInt(0) + c.Mod(a, b) + a, b = b, c + } + return a +} + +func bigNeg(n *big.Int) *big.Int { + n = big.NewInt(0).Set(n) + return n.Neg(n) +} + +func bigMul(a, b *big.Int) *big.Int { + r := big.NewInt(0).Set(a) + return r.Mul(r, b) +} + +func bigAdd(a, b *big.Int) *big.Int { + r := big.NewInt(0).Set(a) + return r.Add(r, b) +} diff --git a/vendor/modernc.org/mathutil/primes.go b/vendor/modernc.org/mathutil/primes.go new file mode 100644 index 0000000..ec1e5f5 --- /dev/null +++ b/vendor/modernc.org/mathutil/primes.go @@ -0,0 +1,331 @@ +// Copyright (c) 2014 The mathutil Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +package mathutil // import "modernc.org/mathutil" + +import ( + "math" +) + +// IsPrimeUint16 returns true if n is prime. Typical run time is few ns. +func IsPrimeUint16(n uint16) bool { + return n > 0 && primes16[n-1] == 1 +} + +// NextPrimeUint16 returns first prime > n and true if successful or an +// undefined value and false if there is no next prime in the uint16 limits. +// Typical run time is few ns. +func NextPrimeUint16(n uint16) (p uint16, ok bool) { + return n + uint16(primes16[n]), n < 65521 +} + +// IsPrime returns true if n is prime. Typical run time is about 100 ns. +func IsPrime(n uint32) bool { + switch { + case n&1 == 0: + return n == 2 + case n%3 == 0: + return n == 3 + case n%5 == 0: + return n == 5 + case n%7 == 0: + return n == 7 + case n%11 == 0: + return n == 11 + case n%13 == 0: + return n == 13 + case n%17 == 0: + return n == 17 + case n%19 == 0: + return n == 19 + case n%23 == 0: + return n == 23 + case n%29 == 0: + return n == 29 + case n%31 == 0: + return n == 31 + case n%37 == 0: + return n == 37 + case n%41 == 0: + return n == 41 + case n%43 == 0: + return n == 43 + case n%47 == 0: + return n == 47 + case n%53 == 0: + return n == 53 // Benchmarked optimum + case n < 65536: + // use table data + return IsPrimeUint16(uint16(n)) + default: + mod := ModPowUint32(2, (n+1)/2, n) + if mod != 2 && mod != n-2 { + return false + } + blk := &lohi[n>>24] + lo, hi := blk.lo, blk.hi + for lo <= hi { + index := (lo + hi) >> 1 + liar := liars[index] + switch { + case n > liar: + lo = index + 1 + case n < liar: + hi = index - 1 + default: + return false + } + } + return true + } +} + +// IsPrimeUint64 returns true if n is prime. Typical run time is few tens of µs. +// +// SPRP bases: http://miller-rabin.appspot.com +func IsPrimeUint64(n uint64) bool { + switch { + case n%2 == 0: + return n == 2 + case n%3 == 0: + return n == 3 + case n%5 == 0: + return n == 5 + case n%7 == 0: + return n == 7 + case n%11 == 0: + return n == 11 + case n%13 == 0: + return n == 13 + case n%17 == 0: + return n == 17 + case n%19 == 0: + return n == 19 + case n%23 == 0: + return n == 23 + case n%29 == 0: + return n == 29 + case n%31 == 0: + return n == 31 + case n%37 == 0: + return n == 37 + case n%41 == 0: + return n == 41 + case n%43 == 0: + return n == 43 + case n%47 == 0: + return n == 47 + case n%53 == 0: + return n == 53 + case n%59 == 0: + return n == 59 + case n%61 == 0: + return n == 61 + case n%67 == 0: + return n == 67 + case n%71 == 0: + return n == 71 + case n%73 == 0: + return n == 73 + case n%79 == 0: + return n == 79 + case n%83 == 0: + return n == 83 + case n%89 == 0: + return n == 89 // Benchmarked optimum + case n <= math.MaxUint16: + return IsPrimeUint16(uint16(n)) + case n <= math.MaxUint32: + return ProbablyPrimeUint32(uint32(n), 11000544) && + ProbablyPrimeUint32(uint32(n), 31481107) + case n < 105936894253: + return ProbablyPrimeUint64_32(n, 2) && + ProbablyPrimeUint64_32(n, 1005905886) && + ProbablyPrimeUint64_32(n, 1340600841) + case n < 31858317218647: + return ProbablyPrimeUint64_32(n, 2) && + ProbablyPrimeUint64_32(n, 642735) && + ProbablyPrimeUint64_32(n, 553174392) && + ProbablyPrimeUint64_32(n, 3046413974) + case n < 3071837692357849: + return ProbablyPrimeUint64_32(n, 2) && + ProbablyPrimeUint64_32(n, 75088) && + ProbablyPrimeUint64_32(n, 642735) && + ProbablyPrimeUint64_32(n, 203659041) && + ProbablyPrimeUint64_32(n, 3613982119) + default: + return ProbablyPrimeUint64_32(n, 2) && + ProbablyPrimeUint64_32(n, 325) && + ProbablyPrimeUint64_32(n, 9375) && + ProbablyPrimeUint64_32(n, 28178) && + ProbablyPrimeUint64_32(n, 450775) && + ProbablyPrimeUint64_32(n, 9780504) && + ProbablyPrimeUint64_32(n, 1795265022) + } +} + +// NextPrime returns first prime > n and true if successful or an undefined value and false if there +// is no next prime in the uint32 limits. Typical run time is about 2 µs. +func NextPrime(n uint32) (p uint32, ok bool) { + switch { + case n < 65521: + p16, _ := NextPrimeUint16(uint16(n)) + return uint32(p16), true + case n >= math.MaxUint32-4: + return + } + + n++ + var d0, d uint32 + switch mod := n % 6; mod { + case 0: + d0, d = 1, 4 + case 1: + d = 4 + case 2, 3, 4: + d0, d = 5-mod, 2 + case 5: + d = 2 + } + + p = n + d0 + if p < n { // overflow + return + } + + for { + if IsPrime(p) { + return p, true + } + + p0 := p + p += d + if p < p0 { // overflow + break + } + + d ^= 6 + } + return +} + +// NextPrimeUint64 returns first prime > n and true if successful or an undefined value and false if there +// is no next prime in the uint64 limits. Typical run time is in hundreds of µs. +func NextPrimeUint64(n uint64) (p uint64, ok bool) { + switch { + case n < 65521: + p16, _ := NextPrimeUint16(uint16(n)) + return uint64(p16), true + case n >= 18446744073709551557: // last uint64 prime + return + } + + n++ + var d0, d uint64 + switch mod := n % 6; mod { + case 0: + d0, d = 1, 4 + case 1: + d = 4 + case 2, 3, 4: + d0, d = 5-mod, 2 + case 5: + d = 2 + } + + p = n + d0 + if p < n { // overflow + return + } + + for { + if ok = IsPrimeUint64(p); ok { + break + } + + p0 := p + p += d + if p < p0 { // overflow + break + } + + d ^= 6 + } + return +} + +// FactorTerm is one term of an integer factorization. +type FactorTerm struct { + Prime uint32 // The divisor + Power uint32 // Term == Prime^Power +} + +// FactorTerms represent a factorization of an integer +type FactorTerms []FactorTerm + +// FactorInt returns prime factorization of n > 1 or nil otherwise. +// Resulting factors are ordered by Prime. Typical run time is few µs. +func FactorInt(n uint32) (f FactorTerms) { + switch { + case n < 2: + return + case IsPrime(n): + return []FactorTerm{{n, 1}} + } + + f, w := make([]FactorTerm, 9), 0 + for p := 2; p < len(primes16); p += int(primes16[p]) { + if uint(p*p) > uint(n) { + break + } + + power := uint32(0) + for n%uint32(p) == 0 { + n /= uint32(p) + power++ + } + if power != 0 { + f[w] = FactorTerm{uint32(p), power} + w++ + } + if n == 1 { + break + } + } + if n != 1 { + f[w] = FactorTerm{n, 1} + w++ + } + return f[:w] +} + +// PrimorialProductsUint32 returns a slice of numbers in [lo, hi] which are a +// product of max 'max' primorials. The slice is not sorted. +// +// See also: http://en.wikipedia.org/wiki/Primorial +func PrimorialProductsUint32(lo, hi, max uint32) (r []uint32) { + lo64, hi64 := int64(lo), int64(hi) + if max > 31 { // N/A + max = 31 + } + + var f func(int64, int64, uint32) + f = func(n, p int64, emax uint32) { + e := uint32(1) + for n <= hi64 && e <= emax { + n *= p + if n >= lo64 && n <= hi64 { + r = append(r, uint32(n)) + } + if n < hi64 { + p, _ := NextPrime(uint32(p)) + f(n, int64(p), e) + } + e++ + } + } + + f(1, 2, max) + return +} diff --git a/vendor/modernc.org/mathutil/rat.go b/vendor/modernc.org/mathutil/rat.go new file mode 100644 index 0000000..2f3742f --- /dev/null +++ b/vendor/modernc.org/mathutil/rat.go @@ -0,0 +1,27 @@ +// Copyright (c) 2014 The mathutil Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +package mathutil // import "modernc.org/mathutil" + +// QCmpUint32 compares a/b and c/d and returns: +// +// -1 if a/b < c/d +// 0 if a/b == c/d +// +1 if a/b > c/d +// +func QCmpUint32(a, b, c, d uint32) int { + switch x, y := uint64(a)*uint64(d), uint64(b)*uint64(c); { + case x < y: + return -1 + case x == y: + return 0 + default: // x > y + return 1 + } +} + +// QScaleUint32 returns a such that a/b >= c/d. +func QScaleUint32(b, c, d uint32) (a uint64) { + return 1 + (uint64(b)*uint64(c))/uint64(d) +} diff --git a/vendor/modernc.org/mathutil/rnd.go b/vendor/modernc.org/mathutil/rnd.go new file mode 100644 index 0000000..598bad4 --- /dev/null +++ b/vendor/modernc.org/mathutil/rnd.go @@ -0,0 +1,383 @@ +// Copyright (c) 2014 The mathutil Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +package mathutil // import "modernc.org/mathutil" + +import ( + "fmt" + "math" + "math/big" +) + +// FC32 is a full cycle PRNG covering the 32 bit signed integer range. +// In contrast to full cycle generators shown at e.g. http://en.wikipedia.org/wiki/Full_cycle, +// this code doesn't produce values at constant delta (mod cycle length). +// The 32 bit limit is per this implementation, the algorithm used has no intrinsic limit on the cycle size. +// Properties include: +// - Adjustable limits on creation (hi, lo). +// - Positionable/randomly accessible (Pos, Seek). +// - Repeatable (deterministic). +// - Can run forward or backward (Next, Prev). +// - For a billion numbers cycle the Next/Prev PRN can be produced in cca 100-150ns. +// That's like 5-10 times slower compared to PRNs generated using the (non FC) rand package. +type FC32 struct { + cycle int64 // On average: 3 * delta / 2, (HQ: 2 * delta) + delta int64 // hi - lo + factors [][]int64 // This trades some space for hopefully a bit of speed (multiple adding vs multiplying). + lo int + mods []int // pos % set + pos int64 // Within cycle. + primes []int64 // Ordered. ∏ primes == cycle. + set []int64 // Reordered primes (magnitude order bases) according to seed. +} + +// NewFC32 returns a newly created FC32 adjusted for the closed interval [lo, hi] or an Error if any. +// If hq == true then trade some generation time for improved (pseudo)randomness. +func NewFC32(lo, hi int, hq bool) (r *FC32, err error) { + if lo > hi { + return nil, fmt.Errorf("invalid range %d > %d", lo, hi) + } + + if uint64(hi)-uint64(lo) > math.MaxUint32 { + return nil, fmt.Errorf("range out of int32 limits %d, %d", lo, hi) + } + + delta := int64(hi) - int64(lo) + // Find the primorial covering whole delta + n, set, p := int64(1), []int64{}, uint32(2) + if hq { + p++ + } + for { + set = append(set, int64(p)) + n *= int64(p) + if n > delta { + break + } + p, _ = NextPrime(p) + } + + // Adjust the set so n ∊ [delta, 2 * delta] (HQ: [delta, 3 * delta]) + // while keeping the cardinality of the set (correlates with the statistic "randomness quality") + // at max, i.e. discard atmost one member. + i := -1 // no candidate prime + if n > 2*(delta+1) { + for j, p := range set { + q := n / p + if q < delta+1 { + break + } + + i = j // mark the highest candidate prime set index + } + } + if i >= 0 { // shrink the inner cycle + n = n / set[i] + set = delete(set, i) + } + r = &FC32{ + cycle: n, + delta: delta, + factors: make([][]int64, len(set)), + lo: lo, + mods: make([]int, len(set)), + primes: set, + } + r.Seed(1) // the default seed should be always non zero + return +} + +// Cycle reports the length of the inner FCPRNG cycle. +// Cycle is atmost the double (HQ: triple) of the generator period (hi - lo + 1). +func (r *FC32) Cycle() int64 { + return r.cycle +} + +// Next returns the first PRN after Pos. +func (r *FC32) Next() int { + return r.step(1) +} + +// Pos reports the current position within the inner cycle. +func (r *FC32) Pos() int64 { + return r.pos +} + +// Prev return the first PRN before Pos. +func (r *FC32) Prev() int { + return r.step(-1) +} + +// Seed uses the provided seed value to initialize the generator to a deterministic state. +// A zero seed produces a "canonical" generator with worse randomness than for most non zero seeds. +// Still, the FC property holds for any seed value. +func (r *FC32) Seed(seed int64) { + u := uint64(seed) + r.set = mix(r.primes, &u) + n := int64(1) + for i, p := range r.set { + k := make([]int64, p) + v := int64(0) + for j := range k { + k[j] = v + v += n + } + n *= p + r.factors[i] = mix(k, &u) + } +} + +// Seek sets Pos to |pos| % Cycle. +func (r *FC32) Seek(pos int64) { //vet:ignore + if pos < 0 { + pos = -pos + } + pos %= r.cycle + r.pos = pos + for i, p := range r.set { + r.mods[i] = int(pos % p) + } +} + +func (r *FC32) step(dir int) int { + for { // avg loops per step: 3/2 (HQ: 2) + y := int64(0) + pos := r.pos + pos += int64(dir) + switch { + case pos < 0: + pos = r.cycle - 1 + case pos >= r.cycle: + pos = 0 + } + r.pos = pos + for i, mod := range r.mods { + mod += dir + p := int(r.set[i]) + switch { + case mod < 0: + mod = p - 1 + case mod >= p: + mod = 0 + } + r.mods[i] = mod + y += r.factors[i][mod] + } + if y <= r.delta { + return int(y) + r.lo + } + } +} + +func delete(set []int64, i int) (y []int64) { + for j, v := range set { + if j != i { + y = append(y, v) + } + } + return +} + +func mix(set []int64, seed *uint64) (y []int64) { + for len(set) != 0 { + *seed = rol(*seed) + i := int(*seed % uint64(len(set))) + y = append(y, set[i]) + set = delete(set, i) + } + return +} + +func rol(u uint64) (y uint64) { + y = u << 1 + if int64(u) < 0 { + y |= 1 + } + return +} + +// FCBig is a full cycle PRNG covering ranges outside of the int32 limits. +// For more info see the FC32 docs. +// Next/Prev PRN on a 1e15 cycle can be produced in about 2 µsec. +type FCBig struct { + cycle *big.Int // On average: 3 * delta / 2, (HQ: 2 * delta) + delta *big.Int // hi - lo + factors [][]*big.Int // This trades some space for hopefully a bit of speed (multiple adding vs multiplying). + lo *big.Int + mods []int // pos % set + pos *big.Int // Within cycle. + primes []int64 // Ordered. ∏ primes == cycle. + set []int64 // Reordered primes (magnitude order bases) according to seed. +} + +// NewFCBig returns a newly created FCBig adjusted for the closed interval [lo, hi] or an Error if any. +// If hq == true then trade some generation time for improved (pseudo)randomness. +func NewFCBig(lo, hi *big.Int, hq bool) (r *FCBig, err error) { + if lo.Cmp(hi) > 0 { + return nil, fmt.Errorf("invalid range %d > %d", lo, hi) + } + + delta := big.NewInt(0) + delta.Add(delta, hi).Sub(delta, lo) + + // Find the primorial covering whole delta + n, set, pp, p := big.NewInt(1), []int64{}, big.NewInt(0), uint32(2) + if hq { + p++ + } + for { + set = append(set, int64(p)) + pp.SetInt64(int64(p)) + n.Mul(n, pp) + if n.Cmp(delta) > 0 { + break + } + p, _ = NextPrime(p) + } + + // Adjust the set so n ∊ [delta, 2 * delta] (HQ: [delta, 3 * delta]) + // while keeping the cardinality of the set (correlates with the statistic "randomness quality") + // at max, i.e. discard atmost one member. + dd1 := big.NewInt(1) + dd1.Add(dd1, delta) + dd2 := big.NewInt(0) + dd2.Lsh(dd1, 1) + i := -1 // no candidate prime + if n.Cmp(dd2) > 0 { + q := big.NewInt(0) + for j, p := range set { + pp.SetInt64(p) + q.Set(n) + q.Div(q, pp) + if q.Cmp(dd1) < 0 { + break + } + + i = j // mark the highest candidate prime set index + } + } + if i >= 0 { // shrink the inner cycle + pp.SetInt64(set[i]) + n.Div(n, pp) + set = delete(set, i) + } + r = &FCBig{ + cycle: n, + delta: delta, + factors: make([][]*big.Int, len(set)), + lo: lo, + mods: make([]int, len(set)), + pos: big.NewInt(0), + primes: set, + } + r.Seed(1) // the default seed should be always non zero + return +} + +// Cycle reports the length of the inner FCPRNG cycle. +// Cycle is atmost the double (HQ: triple) of the generator period (hi - lo + 1). +func (r *FCBig) Cycle() *big.Int { + return r.cycle +} + +// Next returns the first PRN after Pos. +func (r *FCBig) Next() *big.Int { + return r.step(1) +} + +// Pos reports the current position within the inner cycle. +func (r *FCBig) Pos() *big.Int { + return r.pos +} + +// Prev return the first PRN before Pos. +func (r *FCBig) Prev() *big.Int { + return r.step(-1) +} + +// Seed uses the provided seed value to initialize the generator to a deterministic state. +// A zero seed produces a "canonical" generator with worse randomness than for most non zero seeds. +// Still, the FC property holds for any seed value. +func (r *FCBig) Seed(seed int64) { + u := uint64(seed) + r.set = mix(r.primes, &u) + n := big.NewInt(1) + v := big.NewInt(0) + pp := big.NewInt(0) + for i, p := range r.set { + k := make([]*big.Int, p) + v.SetInt64(0) + for j := range k { + k[j] = big.NewInt(0) + k[j].Set(v) + v.Add(v, n) + } + pp.SetInt64(p) + n.Mul(n, pp) + r.factors[i] = mixBig(k, &u) + } +} + +// Seek sets Pos to |pos| % Cycle. +func (r *FCBig) Seek(pos *big.Int) { + r.pos.Set(pos) + r.pos.Abs(r.pos) + r.pos.Mod(r.pos, r.cycle) + mod := big.NewInt(0) + pp := big.NewInt(0) + for i, p := range r.set { + pp.SetInt64(p) + r.mods[i] = int(mod.Mod(r.pos, pp).Int64()) + } +} + +func (r *FCBig) step(dir int) (y *big.Int) { + y = big.NewInt(0) + d := big.NewInt(int64(dir)) + for { // avg loops per step: 3/2 (HQ: 2) + r.pos.Add(r.pos, d) + switch { + case r.pos.Sign() < 0: + r.pos.Add(r.pos, r.cycle) + case r.pos.Cmp(r.cycle) >= 0: + r.pos.SetInt64(0) + } + for i, mod := range r.mods { + mod += dir + p := int(r.set[i]) + switch { + case mod < 0: + mod = p - 1 + case mod >= p: + mod = 0 + } + r.mods[i] = mod + y.Add(y, r.factors[i][mod]) + } + if y.Cmp(r.delta) <= 0 { + y.Add(y, r.lo) + return + } + y.SetInt64(0) + } +} + +func deleteBig(set []*big.Int, i int) (y []*big.Int) { + for j, v := range set { + if j != i { + y = append(y, v) + } + } + return +} + +func mixBig(set []*big.Int, seed *uint64) (y []*big.Int) { + for len(set) != 0 { + *seed = rol(*seed) + i := int(*seed % uint64(len(set))) + y = append(y, set[i]) + set = deleteBig(set, i) + } + return +} diff --git a/vendor/modernc.org/mathutil/sqr.go b/vendor/modernc.org/mathutil/sqr.go new file mode 100644 index 0000000..b7e15c9 --- /dev/null +++ b/vendor/modernc.org/mathutil/sqr.go @@ -0,0 +1,12 @@ +//go:build !riscv64 && !loong64 +// +build !riscv64,!loong64 + +package mathutil + +import "github.com/remyoudompheng/bigfft" + +func (f *float) sqr() { + f.n = bigfft.Mul(f.n, f.n) + f.fracBits *= 2 + f.normalize() +} diff --git a/vendor/modernc.org/mathutil/sqr_std.go b/vendor/modernc.org/mathutil/sqr_std.go new file mode 100644 index 0000000..a19c772 --- /dev/null +++ b/vendor/modernc.org/mathutil/sqr_std.go @@ -0,0 +1,10 @@ +//go:build riscv64 || loong64 +// +build riscv64 loong64 + +package mathutil + +func (f *float) sqr() { + f.n.Mul(f.n, f.n) + f.fracBits *= 2 + f.normalize() +} diff --git a/vendor/modernc.org/mathutil/tables.go b/vendor/modernc.org/mathutil/tables.go new file mode 100644 index 0000000..97ce1f9 --- /dev/null +++ b/vendor/modernc.org/mathutil/tables.go @@ -0,0 +1,6995 @@ +// Copyright (c) 2014 The mathutil Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +// "Static" data + +package mathutil // import "modernc.org/mathutil" + +var ( + // Set bits count in a byte + popcnt = [256]byte{ + 0, 1, 1, 2, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 4, // 0 + 1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5, // 1 + 1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5, // 2 + 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, // 3 + 1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5, // 4 + 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, // 5 + 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, // 6 + 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, // 7 + 1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5, // 8 + 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, // 9 + 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, // 10 + 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, // 11 + 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, // 12 + 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, // 13 + 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, // 14 + 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, // 15 + } + + // Highest set bit index in a byte + log2 = [256]int{ + -1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, // 0 + + 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, // 1 + + 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, // 2 + 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, // 3 + + 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, // 4 + 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, // 5 + 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, // 6 + 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, // 7 + + 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, // 8 + 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, // 9 + 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, // 10 + 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, // 11 + 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, // 12 + 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, // 13 + 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, // 14 + 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, // 15 + } + + // "Predivisors": 2-53 + liars = [3660]uint32{ + 31621, 42799, 49141, 49981, 65077, 65281, 80581, 83333, 88357, 90751, + 104653, 130561, 164737, 188057, 194221, 196093, 215749, 219781, 220729, 253241, + 256999, 271951, 280601, 282133, 357761, 390937, 458989, 486737, 489997, 514447, + 580337, 587861, 611701, 647089, 653333, 657901, 665281, 665333, 688213, 710533, + 721801, 722261, 738541, 741751, 742813, 745889, 769757, 818201, 838861, 873181, + 877099, 916327, 976873, 983401, 1016801, 1018921, 1053761, 1064053, 1073021, 1082401, + 1109461, 1132657, 1145257, 1168513, 1194649, 1207361, 1251949, 1252697, 1302451, 1325843, + 1357441, 1373653, 1397419, 1441091, 1493857, 1507963, 1509709, 1530787, 1584133, 1678541, + 1690501, 1730977, 1735841, 1811573, 1876393, 1969417, 1987021, 2004403, 2081713, 2163001, + 2181961, 2205967, 2261953, 2264369, 2269093, 2284453, 2304167, 2387797, 2487941, 2510569, + 2670361, 2746477, 2748023, 2757241, 2811271, 2909197, 2944261, 2976487, 3048841, 3090091, + 3116107, 3125281, 3225601, 3363121, 3375041, 3400013, 3413533, 3429037, 3539101, 3542533, + 3567481, 3568661, 3605429, 3656449, 3763801, 3828001, 3898129, 3911197, 3985921, 4072729, + 4181921, 4188889, 4209661, 4360621, 4469471, 4480477, 4513841, 4835209, 4863127, 4869313, + 4877641, 4922413, 5016191, 5044033, 5095177, 5173169, 5173601, 5176153, 5256091, 5271841, + 5284333, 5351537, 5489641, 5590621, 5672041, 5919187, 6027193, 6118141, 6140161, 6159301, + 6189121, 6226193, 6233977, 6236257, 6278533, 6334351, 6368689, 6386993, 6631549, 6658669, + 6779137, 6787327, 6836233, 6952037, 6955541, 6998881, 7017193, 7232321, 7306261, 7306561, + 7429117, 7462001, 7674967, 7725901, 7759937, 7820201, 7883731, 8036033, 8095447, 8239477, + 8384513, 8534233, 8725753, 8727391, 8902741, 9006401, 9056501, 9073513, 9131401, 9345541, + 9371251, 9439201, 9480461, 9533701, 9564169, 9567673, 9588151, 9591661, 9729301, 9774181, + 9863461, 10024561, 10084177, 10323769, 10331141, 10386241, 10425511, 10610063, 10700761, 10712857, + 10763653, 10974881, 11081459, 11115037, 11335501, 11541307, 11585293, 11592397, 11777599, 12032021, + 12096613, 12263131, 12322133, 12327121, 12599233, 12854437, 13057787, 13338371, 13446253, 13500313, + 13635289, 13694761, 13747361, 13773061, 14026897, 14154337, 14179537, 14324473, 14469841, 14671801, + 14676481, 14709241, 14794081, 14796289, 14865121, 15101893, 15139199, 15162941, 15188557, 15220951, + 15247621, 15479777, 15525241, 15603391, 15621409, 15700301, 15802681, 15976747, 15978007, 16070429, + 16132321, 16149169, 16153633, 16324001, 16349477, 16360381, 16705021, 16773121, 16822081, 16843009, + 16853077, 16879501, 16973393, 17098369, 17116837, 17134043, 17208601, 17236801, 17327773, 17375249, + 17405537, 17585969, 17870561, 18067501, 18073817, 18366937, 18443701, 18454921, 18535177, 18653353, + 18740971, 19328653, 19384289, 19404139, 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4294901761, + } + + primes16 = [65536]byte{ + 2, 1, 1, 2, 1, 2, 1, 4, 3, 2, // 0-9 + 1, 2, 1, 4, 3, 2, 1, 2, 1, 4, // 10-19 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 20-29 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 30-39 + 1, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 40-49 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 50-59 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 60-69 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 4, // 70-79 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 80-89 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 90-99 + 1, 2, 1, 4, 3, 2, 1, 2, 1, 4, // 100-109 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 110-119 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 120-129 + 1, 6, 5, 4, 3, 2, 1, 2, 1, 10, // 130-139 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 140-149 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 150-159 + 3, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 160-169 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 170-179 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 180-189 + 1, 2, 1, 4, 3, 2, 1, 2, 1, 12, // 190-199 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 200-209 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 210-219 + 3, 2, 1, 4, 3, 2, 1, 2, 1, 4, // 220-229 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 230-239 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 240-249 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 250-259 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 260-269 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 270-279 + 1, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 280-289 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 290-299 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 300-309 + 1, 2, 1, 4, 3, 2, 1, 14, 13, 12, // 310-319 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 320-329 + 1, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 330-339 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 4, // 340-349 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 350-359 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 360-369 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 4, // 370-379 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 380-389 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 390-399 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 400-409 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 410-419 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 420-429 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 4, // 430-439 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 440-449 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 450-459 + 1, 2, 1, 4, 3, 2, 1, 12, 11, 10, // 460-469 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 470-479 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 480-489 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 490-499 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 500-509 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 510-519 + 1, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 520-529 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 530-539 + 1, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 540-549 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 550-559 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 560-569 + 1, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 570-579 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 580-589 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 590-599 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 600-609 + 3, 2, 1, 4, 3, 2, 1, 2, 1, 12, // 610-619 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 620-629 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 630-639 + 1, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 640-649 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 650-659 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 660-669 + 3, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 670-679 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 680-689 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 690-699 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 700-709 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 710-719 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 720-729 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 4, // 730-739 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 740-749 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 750-759 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 760-769 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 770-779 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 780-789 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 790-799 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 800-809 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 810-819 + 1, 2, 1, 4, 3, 2, 1, 2, 1, 10, // 820-829 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 830-839 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 840-849 + 3, 2, 1, 4, 3, 2, 1, 2, 1, 4, // 850-859 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 860-869 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 870-879 + 1, 2, 1, 4, 3, 2, 1, 20, 19, 18, // 880-889 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 890-899 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 900-909 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 910-919 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 920-929 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 930-939 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 940-949 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 950-959 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 960-969 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 970-979 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 980-989 + 1, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 990-999 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 1000-1009 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 1010-1019 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 1020-1029 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 10, // 1030-1039 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 1040-1049 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 1050-1059 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 18, // 1060-1069 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 1070-1079 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 1080-1089 + 1, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 1090-1099 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 1100-1109 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 1110-1119 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 22, // 1120-1129 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 1130-1139 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 1140-1149 + 1, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 1150-1159 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 1160-1169 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 1170-1179 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 1180-1189 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 1190-1199 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 1200-1209 + 3, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 1210-1219 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 1220-1229 + 1, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 1230-1239 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 1240-1249 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 18, // 1250-1259 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 1260-1269 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 4, // 1270-1279 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 1280-1289 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 1290-1299 + 1, 2, 1, 4, 3, 2, 1, 12, 11, 10, // 1300-1309 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 1310-1319 + 1, 6, 5, 4, 3, 2, 1, 34, 33, 32, // 1320-1329 + 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, // 1330-1339 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 1340-1349 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 1350-1359 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 1360-1369 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 1370-1379 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 1380-1389 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 1390-1399 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 1400-1409 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 1410-1419 + 3, 2, 1, 4, 3, 2, 1, 2, 1, 4, // 1420-1429 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 1430-1439 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 1440-1449 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 1450-1459 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 1460-1469 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 1470-1479 + 1, 2, 1, 4, 3, 2, 1, 2, 1, 4, // 1480-1489 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 1490-1499 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 1500-1509 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 1510-1519 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 1520-1529 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 1530-1539 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 4, // 1540-1549 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 1550-1559 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 1560-1569 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 1570-1579 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 1580-1589 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 1590-1599 + 1, 6, 5, 4, 3, 2, 1, 2, 1, 4, // 1600-1609 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 1610-1619 + 1, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 1620-1629 + 7, 6, 5, 4, 3, 2, 1, 20, 19, 18, // 1630-1639 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 1640-1649 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 1650-1659 + 3, 2, 1, 4, 3, 2, 1, 2, 1, 24, // 1660-1669 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 1670-1679 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 1680-1689 + 3, 2, 1, 4, 3, 2, 1, 2, 1, 10, // 1690-1699 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 1700-1709 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 1710-1719 + 1, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 1720-1729 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 1730-1739 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 1740-1749 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 18, // 1750-1759 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 1760-1769 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 1770-1779 + 3, 2, 1, 4, 3, 2, 1, 2, 1, 12, // 1780-1789 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 1790-1799 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 1800-1809 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 1810-1819 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 1820-1829 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 1830-1839 + 7, 6, 5, 4, 3, 2, 1, 14, 13, 12, // 1840-1849 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 1850-1859 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 1860-1869 + 1, 2, 1, 4, 3, 2, 1, 2, 1, 10, // 1870-1879 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 1880-1889 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 1890-1899 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 1900-1909 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 1910-1919 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 1920-1929 + 1, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 1930-1939 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 1940-1949 + 1, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 1950-1959 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 1960-1969 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 1970-1979 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 1980-1989 + 3, 2, 1, 4, 3, 2, 1, 2, 1, 4, // 1990-1999 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 2000-2009 + 1, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 2010-2019 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 10, // 2020-2029 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 2030-2039 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 2040-2049 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 2050-2059 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 2060-2069 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 2070-2079 + 1, 2, 1, 4, 3, 2, 1, 2, 1, 10, // 2080-2089 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 2090-2099 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 2100-2109 + 1, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 2110-2119 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 2120-2129 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 2130-2139 + 1, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 2140-2149 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 2150-2159 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 2160-2169 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 24, // 2170-2179 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 2180-2189 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 2190-2199 + 3, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 2200-2209 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 2210-2219 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 2220-2229 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 4, // 2230-2239 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 2240-2249 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 2250-2259 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 4, // 2260-2269 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 2270-2279 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 2280-2289 + 3, 2, 1, 4, 3, 2, 1, 12, 11, 10, // 2290-2299 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 2300-2309 + 1, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 2310-2319 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 2320-2329 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 2330-2339 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 2340-2349 + 1, 6, 5, 4, 3, 2, 1, 14, 13, 12, // 2350-2359 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 2360-2369 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 2370-2379 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 4, // 2380-2389 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 2390-2399 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 2400-2409 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 2410-2419 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 2420-2429 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 2430-2439 + 1, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 2440-2449 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 2450-2459 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 2460-2469 + 3, 2, 1, 4, 3, 2, 1, 26, 25, 24, // 2470-2479 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 2480-2489 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 2490-2499 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 2500-2509 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 2510-2519 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 2520-2529 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 2530-2539 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 2540-2549 + 1, 6, 5, 4, 3, 2, 1, 22, 21, 20, // 2550-2559 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 2560-2569 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 2570-2579 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 2580-2589 + 1, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 2590-2599 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 2600-2609 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 2610-2619 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 2620-2629 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 2630-2639 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 2640-2649 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 4, // 2650-2659 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 2660-2669 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 2670-2679 + 3, 2, 1, 4, 3, 2, 1, 2, 1, 4, // 2680-2689 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 2690-2699 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 2700-2709 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 10, // 2710-2719 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 2720-2729 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 2730-2739 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 2740-2749 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 2750-2759 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 2760-2769 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 2770-2779 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 2780-2789 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 2790-2799 + 1, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 2800-2809 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 2810-2819 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 2820-2829 + 3, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 2830-2839 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 2840-2849 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 2850-2859 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 2860-2869 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 2870-2879 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 2880-2889 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 2890-2899 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 2900-2909 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 2910-2919 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 2920-2929 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 2930-2939 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 2940-2949 + 3, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 2950-2959 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 2960-2969 + 1, 28, 27, 26, 25, 24, 23, 22, 21, 20, // 2970-2979 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 2980-2989 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 2990-2999 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 3000-3009 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 3010-3019 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 3020-3029 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 3030-3039 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 3040-3049 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 3050-3059 + 1, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 3060-3069 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 3070-3079 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 20, // 3080-3089 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 3090-3099 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 3100-3109 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 3110-3119 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 3120-3129 + 7, 6, 5, 4, 3, 2, 1, 26, 25, 24, // 3130-3139 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 3140-3149 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 3150-3159 + 3, 2, 1, 4, 3, 2, 1, 2, 1, 12, // 3160-3169 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 3170-3179 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 3180-3189 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 3190-3199 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 3200-3209 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 3210-3219 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 22, // 3220-3229 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 3230-3239 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 3240-3249 + 1, 2, 1, 4, 3, 2, 1, 2, 1, 12, // 3250-3259 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 3260-3269 + 1, 28, 27, 26, 25, 24, 23, 22, 21, 20, // 3270-3279 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 3280-3289 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 3290-3299 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 3300-3309 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 4, // 3310-3319 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 3320-3329 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 3330-3339 + 3, 2, 1, 4, 3, 2, 1, 12, 11, 10, // 3340-3349 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 3350-3359 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 3360-3369 + 1, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 3370-3379 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 3380-3389 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 3390-3399 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 3400-3409 + 3, 2, 1, 20, 19, 18, 17, 16, 15, 14, // 3410-3419 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 3420-3429 + 3, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 3430-3439 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 3440-3449 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 3450-3459 + 1, 2, 1, 4, 3, 2, 1, 2, 1, 22, // 3460-3469 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 3470-3479 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 3480-3489 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 3490-3499 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 3500-3509 + 1, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 3510-3519 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 4, // 3520-3529 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 3530-3539 + 1, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 3540-3549 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 12, // 3550-3559 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 3560-3569 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 3570-3579 + 1, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 3580-3589 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 3590-3599 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 3600-3609 + 3, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 3610-3619 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 3620-3629 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 3630-3639 + 3, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 3640-3649 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 3650-3659 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 3660-3669 + 1, 2, 1, 4, 3, 2, 1, 14, 13, 12, // 3670-3679 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 3680-3689 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 3690-3699 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 3700-3709 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 3710-3719 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 3720-3729 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 22, // 3730-3739 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 3740-3749 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 3750-3759 + 1, 6, 5, 4, 3, 2, 1, 2, 1, 10, // 3760-3769 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 3770-3779 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 3780-3789 + 3, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 3790-3799 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 3800-3809 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 3810-3819 + 1, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 3820-3829 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 3830-3839 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 3840-3849 + 1, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 3850-3859 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 3860-3869 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 3870-3879 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 18, // 3880-3889 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 3890-3899 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 3900-3909 + 1, 6, 5, 4, 3, 2, 1, 2, 1, 4, // 3910-3919 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 3920-3929 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 3930-3939 + 3, 2, 1, 4, 3, 2, 1, 20, 19, 18, // 3940-3949 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 3950-3959 + 7, 6, 5, 4, 3, 2, 1, 22, 21, 20, // 3960-3969 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 3970-3979 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 3980-3989 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 3990-3999 + 1, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 4000-4009 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 4010-4019 + 1, 6, 5, 4, 3, 2, 1, 22, 21, 20, // 4020-4029 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 4030-4039 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 4040-4049 + 1, 6, 5, 4, 3, 2, 1, 16, 15, 14, // 4050-4059 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 4060-4069 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 4070-4079 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 4080-4089 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 4090-4099 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 4100-4109 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 4110-4119 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 4, // 4120-4129 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 14, // 4130-4139 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 4140-4149 + 3, 2, 1, 4, 3, 2, 1, 2, 1, 18, // 4150-4159 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 4160-4169 + 7, 6, 5, 4, 3, 2, 1, 24, 23, 22, // 4170-4179 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 4180-4189 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 4190-4199 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 4200-4209 + 1, 6, 5, 4, 3, 2, 1, 2, 1, 10, // 4210-4219 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 4220-4229 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 4230-4239 + 1, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 4240-4249 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 4250-4259 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 4260-4269 + 1, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 4270-4279 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 4280-4289 + 7, 6, 5, 4, 3, 2, 1, 30, 29, 28, // 4290-4299 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 4300-4309 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 4310-4319 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 4320-4329 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 10, // 4330-4339 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 4340-4349 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 4350-4359 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 4360-4369 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 4370-4379 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 4380-4389 + 1, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 4390-4399 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 4400-4409 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 4410-4419 + 1, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 4420-4429 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 4430-4439 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 4440-4449 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 4450-4459 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 4460-4469 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 4470-4479 + 1, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 4480-4489 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 4490-4499 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 4500-4509 + 3, 2, 1, 4, 3, 2, 1, 2, 1, 4, // 4510-4519 + 3, 2, 1, 24, 23, 22, 21, 20, 19, 18, // 4520-4529 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 4530-4539 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 12, // 4540-4549 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 4550-4559 + 1, 6, 5, 4, 3, 2, 1, 16, 15, 14, // 4560-4569 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 4570-4579 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 4580-4589 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 4590-4599 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 4600-4609 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 4610-4619 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 4620-4629 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 4, // 4630-4639 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 4640-4649 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 4650-4659 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 4660-4669 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 4670-4679 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 4680-4689 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 4690-4699 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 4700-4709 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 4710-4719 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 4, // 4720-4729 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 4730-4739 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 4740-4749 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 24, // 4750-4759 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 4760-4769 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 4770-4779 + 3, 2, 1, 4, 3, 2, 1, 2, 1, 4, // 4780-4789 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 4790-4799 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 4800-4809 + 3, 2, 1, 4, 3, 2, 1, 14, 13, 12, // 4810-4819 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 4820-4829 + 1, 30, 29, 28, 27, 26, 25, 24, 23, 22, // 4830-4839 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 4840-4849 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 4850-4859 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 4860-4869 + 1, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 4870-4879 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 4880-4889 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 4890-4899 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 10, // 4900-4909 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 4910-4919 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 4920-4929 + 1, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 4930-4939 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 4940-4949 + 1, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 4950-4959 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 4, // 4960-4969 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 4970-4979 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 4980-4989 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 4, // 4990-4999 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 5000-5009 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 5010-5019 + 1, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 5020-5029 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 5030-5039 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 5040-5049 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 18, // 5050-5059 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 5060-5069 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 5070-5079 + 1, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 5080-5089 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 5090-5099 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 5100-5109 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 28, // 5110-5119 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 5120-5129 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 5130-5139 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 5140-5149 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 5150-5159 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 5160-5169 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 5170-5179 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 5180-5189 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 5190-5199 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 18, // 5200-5209 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 5210-5219 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 5220-5229 + 1, 2, 1, 4, 3, 2, 1, 24, 23, 22, // 5230-5239 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 5240-5249 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 5250-5259 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 5260-5269 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 5270-5279 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 5280-5289 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 5290-5299 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 14, // 5300-5309 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 5310-5319 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 5320-5329 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 5330-5339 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 5340-5349 + 1, 30, 29, 28, 27, 26, 25, 24, 23, 22, // 5350-5359 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 5360-5369 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 5370-5379 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 5380-5389 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 5390-5399 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 5400-5409 + 3, 2, 1, 4, 3, 2, 1, 2, 1, 12, // 5410-5419 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 5420-5429 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 5430-5439 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 22, // 5440-5449 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 5450-5459 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 5460-5469 + 1, 6, 5, 4, 3, 2, 1, 2, 1, 4, // 5470-5479 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 5480-5489 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 5490-5499 + 1, 2, 1, 4, 3, 2, 1, 12, 11, 10, // 5500-5509 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 5510-5519 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 5520-5529 + 1, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 5530-5539 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 5540-5549 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 5550-5559 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 4, // 5560-5569 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 5570-5579 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 5580-5589 + 1, 32, 31, 30, 29, 28, 27, 26, 25, 24, // 5590-5599 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 5600-5609 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 5610-5619 + 3, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 5620-5629 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 5630-5639 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 5640-5649 + 1, 2, 1, 4, 3, 2, 1, 2, 1, 10, // 5650-5659 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 5660-5669 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 5670-5679 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 4, // 5680-5689 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 5690-5699 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 5700-5709 + 1, 6, 5, 4, 3, 2, 1, 20, 19, 18, // 5710-5719 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 5720-5729 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 5730-5739 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 30, // 5740-5749 + 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, // 5750-5759 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 5760-5769 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 5770-5779 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 5780-5789 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 5790-5799 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 5800-5809 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 5810-5819 + 1, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 5820-5829 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 5830-5839 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 5840-5849 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 5850-5859 + 1, 6, 5, 4, 3, 2, 1, 2, 1, 10, // 5860-5869 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 5870-5879 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 5880-5889 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 5890-5899 + 3, 2, 1, 20, 19, 18, 17, 16, 15, 14, // 5900-5909 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 5910-5919 + 3, 2, 1, 4, 3, 2, 1, 12, 11, 10, // 5920-5929 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 5930-5939 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 5940-5949 + 3, 2, 1, 28, 27, 26, 25, 24, 23, 22, // 5950-5959 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 5960-5969 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 5970-5979 + 1, 6, 5, 4, 3, 2, 1, 20, 19, 18, // 5980-5989 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 5990-5999 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 6000-6009 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 6010-6019 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 6020-6029 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 6030-6039 + 3, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 6040-6049 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 6050-6059 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 6060-6069 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 10, // 6070-6079 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 6080-6089 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 6090-6099 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 6100-6109 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 6110-6119 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 6120-6129 + 1, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 6130-6139 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 6140-6149 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 6150-6159 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 6160-6169 + 3, 2, 1, 24, 23, 22, 21, 20, 19, 18, // 6170-6179 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 6180-6189 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 4, // 6190-6199 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 6200-6209 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 6210-6219 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 18, // 6220-6229 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 6230-6239 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 6240-6249 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 6250-6259 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 6260-6269 + 1, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 6270-6279 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 6280-6289 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 6290-6299 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 6300-6309 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 6310-6319 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 6320-6329 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 6330-6339 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 6340-6349 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 6350-6359 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 6360-6369 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 10, // 6370-6379 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 6380-6389 + 7, 6, 5, 4, 3, 2, 1, 24, 23, 22, // 6390-6399 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 6400-6409 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 6410-6419 + 1, 6, 5, 4, 3, 2, 1, 22, 21, 20, // 6420-6429 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 6430-6439 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 6440-6449 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 6450-6459 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 6460-6469 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 6470-6479 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 6480-6489 + 1, 30, 29, 28, 27, 26, 25, 24, 23, 22, // 6490-6499 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 6500-6509 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 6510-6519 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 18, // 6520-6529 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 6530-6539 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 6540-6549 + 1, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 6550-6559 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 6560-6569 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 6570-6579 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 6580-6589 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 6590-6599 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 6600-6609 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 18, // 6610-6619 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 6620-6629 + 7, 6, 5, 4, 3, 2, 1, 16, 15, 14, // 6630-6639 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 6640-6649 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 6650-6659 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 6660-6669 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 10, // 6670-6679 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 6680-6689 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 6690-6699 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 10, // 6700-6709 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 6710-6719 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 6720-6729 + 3, 2, 1, 4, 3, 2, 1, 24, 23, 22, // 6730-6739 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 6740-6749 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 6750-6759 + 1, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 6760-6769 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 6770-6779 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 6780-6789 + 1, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 6790-6799 + 3, 2, 1, 20, 19, 18, 17, 16, 15, 14, // 6800-6809 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 6810-6819 + 3, 2, 1, 4, 3, 2, 1, 2, 1, 4, // 6820-6829 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 6830-6839 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 6840-6849 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 6850-6859 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 6860-6869 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 6870-6879 + 3, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 6880-6889 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 6890-6899 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 6900-6909 + 1, 6, 5, 4, 3, 2, 1, 30, 29, 28, // 6910-6919 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 6920-6929 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 6930-6939 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 10, // 6940-6949 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 6950-6959 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 6960-6969 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 6970-6979 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 6980-6989 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 6990-6999 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 7000-7009 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 7010-7019 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 7020-7029 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 7030-7039 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 7040-7049 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 7050-7059 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 7060-7069 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 24, // 7070-7079 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 7080-7089 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 7090-7099 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 7100-7109 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 7110-7119 + 1, 6, 5, 4, 3, 2, 1, 2, 1, 22, // 7120-7129 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 7130-7139 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 7140-7149 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 18, // 7150-7159 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 7160-7169 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 7170-7179 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 7180-7189 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 7190-7199 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 7200-7209 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 10, // 7210-7219 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 7220-7229 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 7230-7239 + 3, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 7240-7249 + 3, 2, 1, 30, 29, 28, 27, 26, 25, 24, // 7250-7259 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 7260-7269 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 7270-7279 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 7280-7289 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 7290-7299 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 12, // 7300-7309 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 7310-7319 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 7320-7329 + 1, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 7330-7339 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 7340-7349 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 7350-7359 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 24, // 7360-7369 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 7370-7379 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 7380-7389 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 7390-7399 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 7400-7409 + 1, 6, 5, 4, 3, 2, 1, 16, 15, 14, // 7410-7419 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 7420-7429 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 7430-7439 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 7440-7449 + 1, 6, 5, 4, 3, 2, 1, 2, 1, 18, // 7450-7459 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 7460-7469 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 7470-7479 + 1, 6, 5, 4, 3, 2, 1, 2, 1, 10, // 7480-7489 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 7490-7499 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 7500-7509 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 7510-7519 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 7520-7529 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 7530-7539 + 1, 6, 5, 4, 3, 2, 1, 2, 1, 10, // 7540-7549 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 7550-7559 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 7560-7569 + 3, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 7570-7579 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 7580-7589 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 7590-7599 + 3, 2, 1, 4, 3, 2, 1, 14, 13, 12, // 7600-7609 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 7610-7619 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 7620-7629 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 7630-7639 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 20, // 7640-7649 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8, // 7850-7859 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 7860-7869 + 3, 2, 1, 4, 3, 2, 1, 2, 1, 4, // 7870-7879 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 7880-7889 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 7890-7899 + 1, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 7900-7909 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 7910-7919 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 7920-7929 + 3, 2, 1, 4, 3, 2, 1, 12, 11, 10, // 7930-7939 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 7940-7949 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 7950-7959 + 3, 2, 1, 30, 29, 28, 27, 26, 25, 24, // 7960-7969 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 7970-7979 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 7980-7989 + 3, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 7990-7999 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 8000-8009 + 1, 6, 5, 4, 3, 2, 1, 22, 21, 20, // 8010-8019 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 8020-8029 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 8030-8039 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 8040-8049 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 10, // 8050-8059 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 8060-8069 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 8070-8079 + 1, 6, 5, 4, 3, 2, 1, 2, 1, 4, // 8080-8089 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 8090-8099 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 8100-8109 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 8110-8119 + 3, 2, 1, 24, 23, 22, 21, 20, 19, 18, // 8120-8129 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 8130-8139 + 7, 6, 5, 4, 3, 2, 1, 14, 13, 12, // 8140-8149 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 8150-8159 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 8160-8169 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 8170-8179 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 8180-8189 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 8190-8199 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 8200-8209 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 8210-8219 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 8220-8229 + 1, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 8230-8239 + 3, 2, 1, 20, 19, 18, 17, 16, 15, 14, // 8240-8249 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 8250-8259 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 4, // 8260-8269 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 8270-8279 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 8280-8289 + 1, 2, 1, 4, 3, 2, 1, 14, 13, 12, // 8290-8299 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 8300-8309 + 1, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 8310-8319 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 24, // 8320-8329 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 8330-8339 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 8340-8349 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 8350-8359 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 8360-8369 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 8370-8379 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 30, // 8380-8389 + 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, // 8390-8399 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 8400-8409 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 8410-8419 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 8420-8429 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 8430-8439 + 3, 2, 1, 4, 3, 2, 1, 14, 13, 12, // 8440-8449 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 8450-8459 + 1, 6, 5, 4, 3, 2, 1, 34, 33, 32, // 8460-8469 + 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, // 8470-8479 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 8480-8489 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 8490-8499 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 8500-8509 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 8510-8519 + 1, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 8520-8529 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 4, // 8530-8539 + 3, 2, 1, 20, 19, 18, 17, 16, 15, 14, // 8540-8549 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 8550-8559 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 8560-8569 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 8570-8579 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 8580-8589 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 10, // 8590-8599 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 8600-8609 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 8610-8619 + 3, 2, 1, 4, 3, 2, 1, 2, 1, 12, // 8620-8629 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 8630-8639 + 1, 6, 5, 4, 3, 2, 1, 16, 15, 14, // 8640-8649 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 8650-8659 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 8660-8669 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 8670-8679 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 8680-8689 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 8690-8699 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 8700-8709 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 8710-8719 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 8720-8729 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 8730-8739 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 8740-8749 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 8750-8759 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 8760-8769 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 8770-8779 + 3, 2, 1, 20, 19, 18, 17, 16, 15, 14, // 8780-8789 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 8790-8799 + 3, 2, 1, 4, 3, 2, 1, 12, 11, 10, // 8800-8809 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 8810-8819 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 8820-8829 + 1, 6, 5, 4, 3, 2, 1, 2, 1, 10, // 8830-8839 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 8840-8849 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 8850-8859 + 1, 2, 1, 4, 3, 2, 1, 20, 19, 18, // 8860-8869 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 8870-8879 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 8880-8889 + 3, 2, 1, 30, 29, 28, 27, 26, 25, 24, // 8890-8899 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 8900-8909 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 8910-8919 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 4, // 8920-8929 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 8930-8939 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 8940-8949 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 8950-8959 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 8960-8969 + 1, 28, 27, 26, 25, 24, 23, 22, 21, 20, // 8970-8979 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 8980-8989 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 8990-8999 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 9000-9009 + 1, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 9010-9019 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 9020-9029 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 9030-9039 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 10, // 9040-9049 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 9050-9059 + 7, 6, 5, 4, 3, 2, 1, 24, 23, 22, // 9060-9069 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 9070-9079 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 9080-9089 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 9090-9099 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 18, // 9100-9109 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 9110-9119 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 9120-9129 + 3, 2, 1, 4, 3, 2, 1, 14, 13, 12, // 9130-9139 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 9140-9149 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 9150-9159 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 9160-9169 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 9170-9179 + 1, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 9180-9189 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 9190-9199 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 9200-9209 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 9210-9219 + 1, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 9220-9229 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 9230-9239 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 9240-9249 + 7, 6, 5, 4, 3, 2, 1, 20, 19, 18, // 9250-9259 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 9260-9269 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 9270-9279 + 1, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 9280-9289 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 9290-9299 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 9300-9309 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 9310-9319 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 9320-9329 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 9330-9339 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 22, // 9340-9349 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 9350-9359 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 9360-9369 + 1, 6, 5, 4, 3, 2, 1, 14, 13, 12, // 9370-9379 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 9380-9389 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 9390-9399 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 9400-9409 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 9410-9419 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 9420-9429 + 1, 2, 1, 4, 3, 2, 1, 2, 1, 22, // 9430-9439 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 9440-9449 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 9450-9459 + 1, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 9460-9469 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 9470-9479 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 9480-9489 + 1, 6, 5, 4, 3, 2, 1, 14, 13, 12, // 9490-9499 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 9500-9509 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 9510-9519 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 9520-9529 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 9530-9539 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 9540-9549 + 1, 36, 35, 34, 33, 32, 31, 30, 29, 28, // 9550-9559 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 9560-9569 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 9570-9579 + 7, 6, 5, 4, 3, 2, 1, 14, 13, 12, // 9580-9589 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 9590-9599 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 9600-9609 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 4, // 9610-9619 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 9620-9629 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 9630-9639 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 9640-9649 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 9650-9659 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 9660-9669 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 10, // 9670-9679 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 9680-9689 + 7, 6, 5, 4, 3, 2, 1, 22, 21, 20, // 9690-9699 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 9700-9709 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 9710-9719 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 9720-9729 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 4, // 9730-9739 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 18, // 9740-9749 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 9750-9759 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 12, // 9760-9769 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 9770-9779 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 9780-9789 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 9790-9799 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 9800-9809 + 1, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 9810-9819 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 9820-9829 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 9830-9839 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 9840-9849 + 1, 6, 5, 4, 3, 2, 1, 2, 1, 12, // 9850-9859 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 9860-9869 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 9870-9879 + 3, 2, 1, 4, 3, 2, 1, 14, 13, 12, // 9880-9889 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 9890-9899 + 1, 6, 5, 4, 3, 2, 1, 16, 15, 14, // 9900-9909 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 9910-9919 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 9920-9929 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 9930-9939 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 18, // 9940-9949 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 9950-9959 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 9960-9969 + 3, 2, 1, 34, 33, 32, 31, 30, 29, 28, // 9970-9979 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 9980-9989 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 9990-9999 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 28, // 10000-10009 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 10010-10019 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 10020-10029 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 22, // 10030-10039 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 10040-10049 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 10050-10059 + 1, 6, 5, 4, 3, 2, 1, 2, 1, 10, // 10060-10069 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 10070-10079 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 10080-10089 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 4, // 10090-10099 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 10100-10109 + 1, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 10110-10119 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 10120-10129 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 10130-10139 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 10140-10149 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 10150-10159 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 10160-10169 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 10170-10179 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 10180-10189 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 10190-10199 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 10200-10209 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 10210-10219 + 3, 2, 1, 20, 19, 18, 17, 16, 15, 14, // 10220-10229 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 10230-10239 + 3, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 10240-10249 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 10250-10259 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 10260-10269 + 1, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 10270-10279 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 10280-10289 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 10290-10299 + 1, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 10300-10309 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 10310-10319 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 10320-10329 + 1, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 10330-10339 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 10340-10349 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 10350-10359 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 22, // 10360-10369 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 10370-10379 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 10380-10389 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 28, // 10390-10399 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 10400-10409 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 10410-10419 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 4, // 10420-10429 + 3, 2, 1, 20, 19, 18, 17, 16, 15, 14, // 10430-10439 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 10440-10449 + 3, 2, 1, 4, 3, 2, 1, 2, 1, 4, // 10450-10459 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 10460-10469 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 10470-10479 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 10480-10489 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 10490-10499 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 10500-10509 + 3, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 10510-10519 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 10520-10529 + 1, 28, 27, 26, 25, 24, 23, 22, 21, 20, // 10530-10539 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 10540-10549 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 10550-10559 + 7, 6, 5, 4, 3, 2, 1, 22, 21, 20, // 10560-10569 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 10570-10579 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 10580-10589 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 10590-10599 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 10600-10609 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 10610-10619 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 10620-10629 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 10630-10639 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 10640-10649 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 10650-10659 + 3, 2, 1, 4, 3, 2, 1, 20, 19, 18, // 10660-10669 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 10670-10679 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 10680-10689 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 10690-10699 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 10700-10709 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 10710-10719 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 4, // 10720-10729 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 14, // 10730-10739 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 10740-10749 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 10750-10759 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 10760-10769 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 10770-10779 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 10780-10789 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 32, // 10790-10799 + 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, // 10800-10809 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 10810-10819 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 10820-10829 + 1, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 10830-10839 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 10840-10849 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 10850-10859 + 1, 6, 5, 4, 3, 2, 1, 16, 15, 14, // 10860-10869 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 10870-10879 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 10880-10889 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 10890-10899 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 28, // 10900-10909 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 10910-10919 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 10920-10929 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 10, // 10930-10939 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 10940-10949 + 7, 6, 5, 4, 3, 2, 1, 16, 15, 14, // 10950-10959 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 10960-10969 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 10970-10979 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 10980-10989 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 10990-10999 + 3, 2, 1, 24, 23, 22, 21, 20, 19, 18, // 11000-11009 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 11010-11019 + 7, 6, 5, 4, 3, 2, 1, 20, 19, 18, // 11020-11029 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 11030-11039 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 11040-11049 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 10, // 11050-11059 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 11060-11069 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 11070-11079 + 3, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 11080-11089 + 3, 2, 1, 20, 19, 18, 17, 16, 15, 14, // 11090-11099 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 11100-11109 + 3, 2, 1, 4, 3, 2, 1, 2, 1, 12, // 11110-11119 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 11120-11129 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 11130-11139 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 11140-11149 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 11150-11159 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 11160-11169 + 1, 2, 1, 4, 3, 2, 1, 20, 19, 18, // 11170-11179 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 11180-11189 + 7, 6, 5, 4, 3, 2, 1, 16, 15, 14, // 11190-11199 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 11200-11209 + 3, 2, 1, 26, 25, 24, 23, 22, 21, 20, // 11210-11219 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 11220-11229 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 11230-11239 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 11240-11249 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 11250-11259 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 11260-11269 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 11270-11279 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 11280-11289 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 11290-11299 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 11300-11309 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 11310-11319 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 22, // 11320-11329 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 11330-11339 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 11340-11349 + 1, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 11350-11359 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 11360-11369 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 11370-11379 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 11380-11389 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 11390-11399 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 11400-11409 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 11410-11419 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 11420-11429 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 11430-11439 + 3, 2, 1, 4, 3, 2, 1, 20, 19, 18, // 11440-11449 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 11450-11459 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 11460-11469 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 11470-11479 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 11480-11489 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 11490-11499 + 3, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 11500-11509 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 11510-11519 + 7, 6, 5, 4, 3, 2, 1, 22, 21, 20, // 11520-11529 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 11530-11539 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 11540-11549 + 1, 28, 27, 26, 25, 24, 23, 22, 21, 20, // 11550-11559 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 11560-11569 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 11570-11579 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 11580-11589 + 3, 2, 1, 4, 3, 2, 1, 20, 19, 18, // 11590-11599 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 11600-11609 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 11610-11619 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 11620-11629 + 3, 2, 1, 24, 23, 22, 21, 20, 19, 18, // 11630-11639 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 11640-11649 + 7, 6, 5, 4, 3, 2, 1, 20, 19, 18, // 11650-11659 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 11660-11669 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 11670-11679 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 11680-11689 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 11690-11699 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 11700-11709 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 12, // 11710-11719 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 11720-11729 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 11730-11739 + 3, 2, 1, 34, 33, 32, 31, 30, 29, 28, // 11740-11749 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 11750-11759 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 11760-11769 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 4, // 11770-11779 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 11780-11789 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 11790-11799 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 11800-11809 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 11810-11819 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 11820-11829 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 24, // 11830-11839 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 11840-11849 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 11850-11859 + 3, 2, 1, 4, 3, 2, 1, 20, 19, 18, // 11860-11869 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 11870-11879 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 11880-11889 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 11890-11899 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 14, // 11900-11909 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 11910-11919 + 3, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 11920-11929 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 11930-11939 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 11940-11949 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 10, // 11950-11959 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 11960-11969 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 11970-11979 + 1, 6, 5, 4, 3, 2, 1, 20, 19, 18, // 11980-11989 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 11990-11999 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 12000-12009 + 1, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 12010-12019 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 12020-12029 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 12030-12039 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 22, // 12040-12049 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 12050-12059 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 12060-12069 + 1, 2, 1, 24, 23, 22, 21, 20, 19, 18, // 12070-12079 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 12080-12089 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 12090-12099 + 1, 6, 5, 4, 3, 2, 1, 2, 1, 4, // 12100-12109 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 24, // 12110-12119 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 12120-12129 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 12130-12139 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 12140-12149 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 12150-12159 + 1, 2, 1, 34, 33, 32, 31, 30, 29, 28, // 12160-12169 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 12170-12179 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 12180-12189 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 12190-12199 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 12200-12209 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 12210-12219 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 12220-12229 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 12230-12239 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 12240-12249 + 1, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 12250-12259 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 12260-12269 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 12270-12279 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 12280-12289 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 12290-12299 + 1, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 12300-12309 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 12310-12319 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 14, // 12320-12329 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 12330-12339 + 3, 2, 1, 4, 3, 2, 1, 26, 25, 24, // 12340-12349 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 12350-12359 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 12360-12369 + 3, 2, 1, 4, 3, 2, 1, 2, 1, 12, // 12370-12379 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 12380-12389 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 12390-12399 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 12400-12409 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 12410-12419 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 12420-12429 + 3, 2, 1, 4, 3, 2, 1, 14, 13, 12, // 12430-12439 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 12440-12449 + 1, 6, 5, 4, 3, 2, 1, 16, 15, 14, // 12450-12459 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 12460-12469 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 12470-12479 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 12480-12489 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 12490-12499 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 12500-12509 + 1, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 12510-12519 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 12520-12529 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 12530-12539 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 12540-12549 + 3, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 12550-12559 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 12560-12569 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 12570-12579 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 12580-12589 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 12590-12599 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 12600-12609 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 18, // 12610-12619 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 12620-12629 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 12630-12639 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 12640-12649 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 12650-12659 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 12660-12669 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 12670-12679 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 12680-12689 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 12690-12699 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 12700-12709 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 12710-12719 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 12720-12729 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 12730-12739 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 12740-12749 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 12750-12759 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 12760-12769 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 12770-12779 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 12780-12789 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 12790-12799 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 12800-12809 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 12810-12819 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 12820-12829 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 12830-12839 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 12840-12849 + 3, 2, 1, 36, 35, 34, 33, 32, 31, 30, // 12850-12859 + 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, // 12860-12869 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 12870-12879 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 12880-12889 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 12890-12899 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 12900-12909 + 1, 6, 5, 4, 3, 2, 1, 2, 1, 4, // 12910-12919 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 12920-12929 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 12930-12939 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 12940-12949 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 12950-12959 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 12960-12969 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 4, // 12970-12979 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 12980-12989 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 12990-12999 + 1, 2, 1, 4, 3, 2, 1, 2, 1, 24, // 13000-13009 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 13010-13019 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 13020-13029 + 3, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 13030-13039 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 14, // 13040-13049 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 13050-13059 + 3, 2, 1, 30, 29, 28, 27, 26, 25, 24, // 13060-13069 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 13070-13079 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 13080-13089 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 4, // 13090-13099 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 13100-13109 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 13110-13119 + 1, 6, 5, 4, 3, 2, 1, 20, 19, 18, // 13120-13129 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 13130-13139 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 13140-13149 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 13150-13159 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 13160-13169 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 13170-13179 + 3, 2, 1, 4, 3, 2, 1, 30, 29, 28, // 13180-13189 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 13190-13199 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 13200-13209 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 10, // 13210-13219 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 13220-13229 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 13230-13239 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 13240-13249 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 13250-13259 + 7, 6, 5, 4, 3, 2, 1, 24, 23, 22, // 13260-13269 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 13270-13279 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 13280-13289 + 1, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 13290-13299 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 13300-13309 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 13310-13319 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 13320-13329 + 1, 6, 5, 4, 3, 2, 1, 2, 1, 28, // 13330-13339 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 13340-13349 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 13350-13359 + 7, 6, 5, 4, 3, 2, 1, 14, 13, 12, // 13360-13369 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 13370-13379 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 13380-13389 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 12, // 13390-13399 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 13400-13409 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 13410-13419 + 1, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 13420-13429 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 13430-13439 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 13440-13449 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 13450-13459 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 13460-13469 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 13470-13479 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 13480-13489 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 13490-13499 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 13500-13509 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 13510-13519 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 13520-13529 + 7, 6, 5, 4, 3, 2, 1, 16, 15, 14, // 13530-13539 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 13540-13549 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 13550-13559 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 13560-13569 + 7, 6, 5, 4, 3, 2, 1, 14, 13, 12, // 13570-13579 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 13580-13589 + 1, 6, 5, 4, 3, 2, 1, 16, 15, 14, // 13590-13599 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 13600-13609 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 13610-13619 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 13620-13629 + 3, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 13630-13639 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 20, // 13640-13649 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 13650-13659 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 13660-13669 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 13670-13679 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 13680-13689 + 1, 2, 1, 4, 3, 2, 1, 12, 11, 10, // 13690-13699 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 13700-13709 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 13710-13719 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 22, // 13720-13729 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 13730-13739 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 13740-13749 + 1, 6, 5, 4, 3, 2, 1, 2, 1, 4, // 13750-13759 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 13760-13769 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 13770-13779 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 13780-13789 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 13790-13799 + 7, 6, 5, 4, 3, 2, 1, 22, 21, 20, // 13800-13809 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 13810-13819 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 13820-13829 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 13830-13839 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 13840-13849 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 13850-13859 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 13860-13869 + 3, 2, 1, 4, 3, 2, 1, 2, 1, 4, // 13870-13879 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 13880-13889 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 13890-13899 + 1, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 13900-13909 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 13910-13919 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 13920-13929 + 1, 2, 1, 30, 29, 28, 27, 26, 25, 24, // 13930-13939 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 13940-13949 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 13950-13959 + 3, 2, 1, 4, 3, 2, 1, 30, 29, 28, // 13960-13969 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 13970-13979 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 13980-13989 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 10, // 13990-13999 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 14000-14009 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 14010-14019 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 14020-14029 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 14030-14039 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 14040-14049 + 1, 6, 5, 4, 3, 2, 1, 14, 13, 12, // 14050-14059 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 14060-14069 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 14070-14079 + 1, 2, 1, 4, 3, 2, 1, 20, 19, 18, // 14080-14089 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 14090-14099 + 7, 6, 5, 4, 3, 2, 1, 36, 35, 34, // 14100-14109 + 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, // 14110-14119 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 14120-14129 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 14130-14139 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 4, // 14140-14149 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 14, // 14150-14159 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 14160-14169 + 3, 2, 1, 4, 3, 2, 1, 20, 19, 18, // 14170-14179 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 14180-14189 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 14190-14199 + 7, 6, 5, 4, 3, 2, 1, 14, 13, 12, // 14200-14209 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 14210-14219 + 1, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 14220-14229 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 14230-14239 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 14240-14249 + 1, 30, 29, 28, 27, 26, 25, 24, 23, 22, // 14250-14259 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 14260-14269 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 14270-14279 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 14280-14289 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 14290-14299 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 14300-14309 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 14310-14319 + 1, 2, 1, 4, 3, 2, 1, 14, 13, 12, // 14320-14329 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 14330-14339 + 1, 6, 5, 4, 3, 2, 1, 22, 21, 20, // 14340-14349 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 14350-14359 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 18, // 14360-14369 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 14370-14379 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 12, // 14380-14389 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 14390-14399 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 14400-14409 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 14410-14419 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 14420-14429 + 1, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 14430-14439 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 12, // 14440-14449 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 14450-14459 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 14460-14469 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 14470-14479 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 14480-14489 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 14490-14499 + 3, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 14500-14509 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 14510-14519 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 14520-14529 + 3, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 14530-14539 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 14540-14549 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 14550-14559 + 1, 2, 1, 28, 27, 26, 25, 24, 23, 22, // 14560-14569 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 14570-14579 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 14580-14589 + 1, 2, 1, 28, 27, 26, 25, 24, 23, 22, // 14590-14599 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 14600-14609 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 14610-14619 + 1, 6, 5, 4, 3, 2, 1, 2, 1, 4, // 14620-14629 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 14, // 14630-14639 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 14640-14649 + 3, 2, 1, 4, 3, 2, 1, 12, 11, 10, // 14650-14659 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 14660-14669 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 14670-14679 + 3, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 14680-14689 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 14690-14699 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 14700-14709 + 3, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 14710-14719 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 14720-14729 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 14730-14739 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 14740-14749 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 14750-14759 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 14760-14769 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 14770-14779 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 14780-14789 + 7, 6, 5, 4, 3, 2, 1, 16, 15, 14, // 14790-14799 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 14800-14809 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 14810-14819 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 14820-14829 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 14830-14839 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 14840-14849 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 14850-14859 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 10, // 14860-14869 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 14870-14879 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 14880-14889 + 1, 6, 5, 4, 3, 2, 1, 26, 25, 24, // 14890-14899 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 14900-14909 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 14910-14919 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 10, // 14920-14929 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 14930-14939 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 14940-14949 + 1, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 14950-14959 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 14960-14969 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 14970-14979 + 3, 2, 1, 30, 29, 28, 27, 26, 25, 24, // 14980-14989 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 14990-14999 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 15000-15009 + 3, 2, 1, 4, 3, 2, 1, 14, 13, 12, // 15010-15019 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 15020-15029 + 1, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 15030-15039 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 15040-15049 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 15050-15059 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 15060-15069 + 3, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 15070-15079 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 15080-15089 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 15090-15099 + 1, 6, 5, 4, 3, 2, 1, 14, 13, 12, // 15100-15109 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 15110-15119 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 15120-15129 + 1, 6, 5, 4, 3, 2, 1, 2, 1, 10, // 15130-15139 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 15140-15149 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 15150-15159 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 15160-15169 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 15170-15179 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 15180-15189 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 18, // 15190-15199 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 15200-15209 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 15210-15219 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 15220-15229 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 15230-15239 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 15240-15249 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 15250-15259 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 15260-15269 + 1, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 15270-15279 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 10, // 15280-15289 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 15290-15299 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 15300-15309 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 10, // 15310-15319 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 15320-15329 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 15330-15339 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 15340-15349 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 15350-15359 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 15360-15369 + 3, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 15370-15379 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 15380-15389 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 15390-15399 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 15400-15409 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 15410-15419 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 15420-15429 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 15430-15439 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 15440-15449 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 15450-15459 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 15460-15469 + 3, 2, 1, 20, 19, 18, 17, 16, 15, 14, // 15470-15479 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 15480-15489 + 3, 2, 1, 4, 3, 2, 1, 14, 13, 12, // 15490-15499 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 15500-15509 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 15510-15519 + 7, 6, 5, 4, 3, 2, 1, 14, 13, 12, // 15520-15529 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 15530-15539 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 15540-15549 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 15550-15559 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 15560-15569 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 15570-15579 + 1, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 15580-15589 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 15590-15599 + 1, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 15600-15609 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 15610-15619 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 15620-15629 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 15630-15639 + 1, 2, 1, 4, 3, 2, 1, 2, 1, 12, // 15640-15649 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 15650-15659 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 15660-15669 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 15670-15679 + 3, 2, 1, 44, 43, 42, 41, 40, 39, 38, // 15680-15689 + 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, // 15690-15699 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 15700-15709 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 15710-15719 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 15720-15729 + 1, 2, 1, 4, 3, 2, 1, 2, 1, 10, // 15730-15739 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 15740-15749 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 15750-15759 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 15760-15769 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 15770-15779 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 15780-15789 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 15790-15799 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 15800-15809 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 15810-15819 + 3, 2, 1, 36, 35, 34, 33, 32, 31, 30, // 15820-15829 + 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, // 15830-15839 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 15840-15849 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 18, // 15850-15859 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 15860-15869 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 15870-15879 + 1, 6, 5, 4, 3, 2, 1, 2, 1, 12, // 15880-15889 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 15890-15899 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 15900-15909 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 4, // 15910-15919 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 15920-15929 + 7, 6, 5, 4, 3, 2, 1, 22, 21, 20, // 15930-15939 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 15940-15949 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 15950-15959 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 15960-15969 + 1, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 15970-15979 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 15980-15989 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 15990-15999 + 1, 6, 5, 4, 3, 2, 1, 26, 25, 24, // 16000-16009 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 16010-16019 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 16020-16029 + 3, 2, 1, 24, 23, 22, 21, 20, 19, 18, // 16030-16039 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 16040-16049 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 16050-16059 + 1, 2, 1, 4, 3, 2, 1, 2, 1, 4, // 16060-16069 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 16070-16079 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 16080-16089 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 16090-16099 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 16100-16109 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 16110-16119 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 16120-16129 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 16130-16139 + 1, 42, 41, 40, 39, 38, 37, 36, 35, 34, // 16140-16149 + 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, // 16150-16159 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 16160-16169 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 16170-16179 + 3, 2, 1, 4, 3, 2, 1, 2, 1, 4, // 16180-16189 + 3, 2, 1, 24, 23, 22, 21, 20, 19, 18, // 16190-16199 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 16200-16209 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 16210-16219 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 16220-16229 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 16230-16239 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 16240-16249 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 16250-16259 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 16260-16269 + 3, 2, 1, 28, 27, 26, 25, 24, 23, 22, // 16270-16279 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 16280-16289 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 16290-16299 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 16300-16309 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 16310-16319 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 16320-16329 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 10, // 16330-16339 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 16340-16349 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 16350-16359 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 16360-16369 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 16370-16379 + 1, 30, 29, 28, 27, 26, 25, 24, 23, 22, // 16380-16389 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 16390-16399 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 16400-16409 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 16410-16419 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 16420-16429 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 16430-16439 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 16440-16449 + 1, 2, 1, 24, 23, 22, 21, 20, 19, 18, // 16450-16459 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 16460-16469 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 16470-16479 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 16480-16489 + 3, 2, 1, 26, 25, 24, 23, 22, 21, 20, // 16490-16499 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 16500-16509 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 16510-16519 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 18, // 16520-16529 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 16530-16539 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 16540-16549 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 16550-16559 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 16560-16569 + 3, 2, 1, 30, 29, 28, 27, 26, 25, 24, // 16570-16579 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 16580-16589 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 16590-16599 + 3, 2, 1, 4, 3, 2, 1, 12, 11, 10, // 16600-16609 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 16610-16619 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 16620-16629 + 1, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 16630-16639 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 16640-16649 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 16650-16659 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 16660-16669 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 16670-16679 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 16680-16689 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 4, // 16690-16699 + 3, 2, 1, 26, 25, 24, 23, 22, 21, 20, // 16700-16709 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 16710-16719 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 16720-16729 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 16730-16739 + 1, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 16740-16749 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 16750-16759 + 3, 2, 1, 24, 23, 22, 21, 20, 19, 18, // 16760-16769 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 16770-16779 + 7, 6, 5, 4, 3, 2, 1, 24, 23, 22, // 16780-16789 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 16790-16799 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 16800-16809 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 16810-16819 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 16820-16829 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 16830-16839 + 3, 2, 1, 28, 27, 26, 25, 24, 23, 22, // 16840-16849 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 16850-16859 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 16860-16869 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 16870-16879 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 16880-16889 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 16890-16899 + 1, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 16900-16909 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 16910-16919 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 16920-16929 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 16930-16939 + 3, 2, 1, 20, 19, 18, 17, 16, 15, 14, // 16940-16949 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 16950-16959 + 3, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 16960-16969 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 16970-16979 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 16980-16989 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 16990-16999 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 17000-17009 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 17010-17019 + 1, 6, 5, 4, 3, 2, 1, 2, 1, 4, // 17020-17029 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 17030-17039 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 17040-17049 + 3, 2, 1, 24, 23, 22, 21, 20, 19, 18, // 17050-17059 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 17060-17069 + 7, 6, 5, 4, 3, 2, 1, 16, 15, 14, // 17070-17079 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 17080-17089 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 17090-17099 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 17100-17109 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 17110-17119 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 17120-17129 + 7, 6, 5, 4, 3, 2, 1, 22, 21, 20, // 17130-17139 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 17140-17149 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 17150-17159 + 7, 6, 5, 4, 3, 2, 1, 16, 15, 14, // 17160-17169 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 17170-17179 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 17180-17189 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 17190-17199 + 3, 2, 1, 4, 3, 2, 1, 2, 1, 22, // 17200-17209 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 17210-17219 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 17220-17229 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 18, // 17230-17239 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 17240-17249 + 7, 6, 5, 4, 3, 2, 1, 34, 33, 32, // 17250-17259 + 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, // 17260-17269 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 17270-17279 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 17280-17289 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 18, // 17290-17299 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 17300-17309 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 17310-17319 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 17320-17329 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 17330-17339 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 17340-17349 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 18, // 17350-17359 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 17360-17369 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 17370-17379 + 3, 2, 1, 4, 3, 2, 1, 2, 1, 4, // 17380-17389 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 17390-17399 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 17400-17409 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 12, // 17410-17419 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 17420-17429 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 17430-17439 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 18, // 17440-17449 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 17450-17459 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 17460-17469 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 17470-17479 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 17480-17489 + 1, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 17490-17499 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 17500-17509 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 20, // 17510-17519 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 17520-17529 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 17530-17539 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 17540-17549 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 17550-17559 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 17560-17569 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 17570-17579 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 17580-17589 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 10, // 17590-17599 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 17600-17609 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 17610-17619 + 3, 2, 1, 4, 3, 2, 1, 30, 29, 28, // 17620-17629 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 17630-17639 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 17640-17649 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 10, // 17650-17659 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 17660-17669 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 17670-17679 + 1, 2, 1, 24, 23, 22, 21, 20, 19, 18, // 17680-17689 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 17690-17699 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 17700-17709 + 3, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 17710-17719 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 17720-17729 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 17730-17739 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 12, // 17740-17749 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 17750-17759 + 1, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 17760-17769 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 17770-17779 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 17780-17789 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 17790-17799 + 7, 6, 5, 4, 3, 2, 1, 20, 19, 18, // 17800-17809 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 17810-17819 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 17820-17829 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 12, // 17830-17839 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 17840-17849 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 17850-17859 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 17860-17869 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 17870-17879 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 17880-17889 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 17890-17899 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 17900-17909 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 17910-17919 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 10, // 17920-17929 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 18, // 17930-17939 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 17940-17949 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 12, // 17950-17959 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 17960-17969 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 17970-17979 + 1, 6, 5, 4, 3, 2, 1, 2, 1, 24, // 17980-17989 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 17990-17999 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 18000-18009 + 3, 2, 1, 28, 27, 26, 25, 24, 23, 22, // 18010-18019 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 18020-18029 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 18030-18039 + 1, 2, 1, 4, 3, 2, 1, 2, 1, 10, // 18040-18049 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 18050-18059 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 18060-18069 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 18070-18079 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 18080-18089 + 7, 6, 5, 4, 3, 2, 1, 22, 21, 20, // 18090-18099 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 18100-18109 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 18110-18119 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 18120-18129 + 1, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 18130-18139 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 20, // 18140-18149 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 18150-18159 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 18160-18169 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 18170-18179 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 18180-18189 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 18190-18199 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 18200-18209 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 18210-18219 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 4, // 18220-18229 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 18230-18239 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 18240-18249 + 1, 2, 1, 4, 3, 2, 1, 12, 11, 10, // 18250-18259 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 18, // 18260-18269 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 18270-18279 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 12, // 18280-18289 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 18290-18299 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 18300-18309 + 1, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 18310-18319 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 18320-18329 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 18330-18339 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 18340-18349 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 18350-18359 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 18360-18369 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 18, // 18370-18379 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 18380-18389 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 18390-18399 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 18400-18409 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 18410-18419 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 18420-18429 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 4, // 18430-18439 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 18440-18449 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 18450-18459 + 1, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 18460-18469 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 18470-18479 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 18480-18489 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 18490-18499 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 18500-18509 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 18510-18519 + 1, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 18520-18529 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 18530-18539 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 18540-18549 + 3, 2, 1, 30, 29, 28, 27, 26, 25, 24, // 18550-18559 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 18560-18569 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 18570-18579 + 3, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 18580-18589 + 3, 2, 1, 24, 23, 22, 21, 20, 19, 18, // 18590-18599 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 18600-18609 + 7, 6, 5, 4, 3, 2, 1, 20, 19, 18, // 18610-18619 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 18620-18629 + 7, 6, 5, 4, 3, 2, 1, 24, 23, 22, // 18630-18639 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 18640-18649 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 18650-18659 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 18660-18669 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 18670-18679 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 18680-18689 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 18690-18699 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 18700-18709 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 18710-18719 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 18720-18729 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 18730-18739 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 18740-18749 + 7, 6, 5, 4, 3, 2, 1, 16, 15, 14, // 18750-18759 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 18760-18769 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 18770-18779 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 18780-18789 + 3, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 18790-18799 + 3, 2, 1, 36, 35, 34, 33, 32, 31, 30, // 18800-18809 + 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, // 18810-18819 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 18820-18829 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 20, // 18830-18839 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 18840-18849 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 18850-18859 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 30, // 18860-18869 + 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, // 18870-18879 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 18880-18889 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 18890-18899 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 18900-18909 + 1, 2, 1, 4, 3, 2, 1, 2, 1, 28, // 18910-18919 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 18920-18929 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 18930-18939 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 18940-18949 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 18950-18959 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 18960-18969 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 22, // 18970-18979 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 18980-18989 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 18990-18999 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 19000-19009 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 19010-19019 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 19020-19029 + 1, 6, 5, 4, 3, 2, 1, 14, 13, 12, // 19030-19039 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 19040-19049 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 19050-19059 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 19060-19069 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 19070-19079 + 1, 6, 5, 4, 3, 2, 1, 34, 33, 32, // 19080-19089 + 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, // 19090-19099 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 19100-19109 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 19110-19119 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 19120-19129 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 19130-19139 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 19140-19149 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 19150-19159 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 19160-19169 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 19170-19179 + 1, 2, 1, 24, 23, 22, 21, 20, 19, 18, // 19180-19189 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 19190-19199 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 19200-19209 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 19210-19219 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 19220-19229 + 1, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 19230-19239 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 19240-19249 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 19250-19259 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 19260-19269 + 3, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 19270-19279 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 19280-19289 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 19290-19299 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 19300-19309 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 19310-19319 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 19320-19329 + 3, 2, 1, 40, 39, 38, 37, 36, 35, 34, // 19330-19339 + 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, // 19340-19349 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 19350-19359 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 19360-19369 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 19370-19379 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 19380-19389 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 19390-19399 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 19400-19409 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 19410-19419 + 1, 2, 1, 4, 3, 2, 1, 2, 1, 4, // 19420-19429 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 19430-19439 + 1, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 19440-19449 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 19450-19459 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 19460-19469 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 19470-19479 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 19480-19489 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 19490-19499 + 1, 6, 5, 4, 3, 2, 1, 24, 23, 22, // 19500-19509 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 19510-19519 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 19520-19529 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 19530-19539 + 1, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 19540-19549 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 19550-19559 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 19560-19569 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 19570-19579 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 19580-19589 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 19590-19599 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 52, // 19600-19609 + 51, 50, 49, 48, 47, 46, 45, 44, 43, 42, // 19610-19619 + 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, // 19620-19629 + 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, // 19630-19639 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 19640-19649 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 19650-19659 + 1, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 19660-19669 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 19670-19679 + 1, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 19680-19689 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 10, // 19690-19699 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 19700-19709 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 19710-19719 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 19720-19729 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 19730-19739 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 19740-19749 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 4, // 19750-19759 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 19760-19769 + 7, 6, 5, 4, 3, 2, 1, 16, 15, 14, // 19770-19779 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 19780-19789 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 19790-19799 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 19800-19809 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 22, // 19810-19819 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 19820-19829 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 19830-19839 + 1, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 19840-19849 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 19850-19859 + 1, 6, 5, 4, 3, 2, 1, 22, 21, 20, // 19860-19869 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 19870-19879 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 19880-19889 + 1, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 19890-19899 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 19900-19909 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 19910-19919 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 19920-19929 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 19930-19939 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 19940-19949 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 19950-19959 + 1, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 19960-19969 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 19970-19979 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 19980-19989 + 1, 2, 1, 4, 3, 2, 1, 14, 13, 12, // 19990-19999 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 20000-20009 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 20010-20019 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 18, // 20020-20029 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 20030-20039 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 20040-20049 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 20050-20059 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 20060-20069 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 20070-20079 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 20080-20089 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 20090-20099 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 20100-20109 + 3, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 20110-20119 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 14, // 20120-20129 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 20130-20139 + 3, 2, 1, 4, 3, 2, 1, 2, 1, 12, // 20140-20149 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 20150-20159 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 20160-20169 + 3, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 20170-20179 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 20180-20189 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 20190-20199 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 20200-20209 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 20210-20219 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 20220-20229 + 1, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 20230-20239 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 20240-20249 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 20250-20259 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 18, // 20260-20269 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 20270-20279 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 20280-20289 + 7, 6, 5, 4, 3, 2, 1, 26, 25, 24, // 20290-20299 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 20300-20309 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 20310-20319 + 3, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 20320-20329 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 20330-20339 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 20340-20349 + 3, 2, 1, 4, 3, 2, 1, 2, 1, 10, // 20350-20359 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 20, // 20360-20369 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 20370-20379 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 20380-20389 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 20390-20399 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 20400-20409 + 1, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 20410-20419 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 20420-20429 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 20430-20439 + 1, 2, 1, 34, 33, 32, 31, 30, 29, 28, // 20440-20449 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 20450-20459 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 20460-20469 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 4, // 20470-20479 + 3, 2, 1, 24, 23, 22, 21, 20, 19, 18, // 20480-20489 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 20490-20499 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 12, // 20500-20509 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 20510-20519 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 20520-20529 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 20530-20539 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 20540-20549 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 20550-20559 + 3, 2, 1, 30, 29, 28, 27, 26, 25, 24, // 20560-20569 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 20570-20579 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 20580-20589 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 20590-20599 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 20600-20609 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 20610-20619 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 20620-20629 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 20630-20639 + 1, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 20640-20649 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 20650-20659 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 20660-20669 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 20670-20679 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 20680-20689 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 20690-20699 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 20700-20709 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 12, // 20710-20719 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 20720-20729 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 20730-20739 + 3, 2, 1, 4, 3, 2, 1, 2, 1, 4, // 20740-20749 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 20750-20759 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 20760-20769 + 1, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 20770-20779 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 18, // 20780-20789 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 20790-20799 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 40, // 20800-20809 + 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, // 20810-20819 + 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, // 20820-20829 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 20830-20839 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 20840-20849 + 7, 6, 5, 4, 3, 2, 1, 16, 15, 14, // 20850-20859 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 20860-20869 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 20870-20879 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 20880-20889 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 4, // 20890-20899 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 20900-20909 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 20910-20919 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 20920-20929 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 20930-20939 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 20940-20949 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 20950-20959 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 20960-20969 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 20970-20979 + 1, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 20980-20989 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 20990-20999 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 21000-21009 + 1, 2, 1, 4, 3, 2, 1, 2, 1, 4, // 21010-21019 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 21020-21029 + 1, 28, 27, 26, 25, 24, 23, 22, 21, 20, // 21030-21039 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 21040-21049 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 21050-21059 + 1, 6, 5, 4, 3, 2, 1, 22, 21, 20, // 21060-21069 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 21070-21079 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 21080-21089 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 21090-21099 + 1, 6, 5, 4, 3, 2, 1, 14, 13, 12, // 21100-21109 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 21110-21119 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 21120-21129 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 21130-21139 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 21140-21149 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 21150-21159 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 10, // 21160-21169 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 21170-21179 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 21180-21189 + 1, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 21190-21199 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 21200-21209 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 21210-21219 + 1, 6, 5, 4, 3, 2, 1, 20, 19, 18, // 21220-21229 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 21230-21239 + 7, 6, 5, 4, 3, 2, 1, 22, 21, 20, // 21240-21249 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 21250-21259 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 21260-21269 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 21270-21279 + 3, 2, 1, 30, 29, 28, 27, 26, 25, 24, // 21280-21289 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 21290-21299 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 21300-21309 + 3, 2, 1, 4, 3, 2, 1, 2, 1, 4, // 21310-21319 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 21320-21329 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 21330-21339 + 1, 6, 5, 4, 3, 2, 1, 30, 29, 28, // 21340-21349 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 21350-21359 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 21360-21369 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 4, // 21370-21379 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 21380-21389 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 21390-21399 + 1, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 21400-21409 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 21410-21419 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 21420-21429 + 3, 2, 1, 34, 33, 32, 31, 30, 29, 28, // 21430-21439 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 21440-21449 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 21450-21459 + 7, 6, 5, 4, 3, 2, 1, 14, 13, 12, // 21460-21469 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 21470-21479 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 21480-21489 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 4, // 21490-21499 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 21500-21509 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 21510-21519 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 28, // 21520-21529 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 21530-21539 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 21540-21549 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 4, // 21550-21559 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 21560-21569 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 21570-21579 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 10, // 21580-21589 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 21590-21599 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 21600-21609 + 1, 2, 1, 4, 3, 2, 1, 30, 29, 28, // 21610-21619 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 21620-21629 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 21630-21639 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 12, // 21640-21649 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 21650-21659 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 21660-21669 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 21670-21679 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 21680-21689 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 21690-21699 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 21700-21709 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 21710-21719 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 21720-21729 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 12, // 21730-21739 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 21740-21749 + 1, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 21750-21759 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 21760-21769 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 21770-21779 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 21780-21789 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 21790-21799 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 21800-21809 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 21810-21819 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 21820-21829 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 21830-21839 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 21840-21849 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 21850-21859 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 21860-21869 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 21870-21879 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 21880-21889 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 21890-21899 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 21900-21909 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 21910-21919 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 21920-21929 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 21930-21939 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 21940-21949 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 21950-21959 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 21960-21969 + 7, 6, 5, 4, 3, 2, 1, 14, 13, 12, // 21970-21979 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 21980-21989 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 21990-21999 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 22000-22009 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 22010-22019 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 22020-22029 + 1, 6, 5, 4, 3, 2, 1, 2, 1, 12, // 22030-22039 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 22040-22049 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 22050-22059 + 3, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 22060-22069 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 22070-22079 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 22080-22089 + 1, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 22090-22099 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 22100-22109 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 22110-22119 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 4, // 22120-22129 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 22130-22139 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 22140-22149 + 3, 2, 1, 4, 3, 2, 1, 2, 1, 12, // 22150-22159 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 22160-22169 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 22170-22179 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 22180-22189 + 3, 2, 1, 36, 35, 34, 33, 32, 31, 30, // 22190-22199 + 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, // 22200-22209 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 22210-22219 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 18, // 22220-22229 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 22230-22239 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 22240-22249 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 22250-22259 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 22260-22269 + 1, 2, 1, 4, 3, 2, 1, 2, 1, 4, // 22270-22279 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 22280-22289 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 22290-22299 + 3, 2, 1, 4, 3, 2, 1, 36, 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2, // 22890-22899 + 1, 6, 5, 4, 3, 2, 1, 14, 13, 12, // 22900-22909 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 22910-22919 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 22920-22929 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 22930-22939 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 22940-22949 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 22950-22959 + 1, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 22960-22969 + 3, 2, 1, 20, 19, 18, 17, 16, 15, 14, // 22970-22979 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 22980-22989 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 22990-22999 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 23000-23009 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 23010-23019 + 1, 6, 5, 4, 3, 2, 1, 2, 1, 10, // 23020-23029 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 23030-23039 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 23040-23049 + 3, 2, 1, 4, 3, 2, 1, 2, 1, 4, // 23050-23059 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 23060-23069 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 23070-23079 + 1, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 23080-23089 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 18, // 23090-23099 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4, 3, 2, 1, 10, // 23890-23899 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 23900-23909 + 1, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 23910-23919 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 28, // 23920-23929 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 23930-23939 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 23940-23949 + 7, 6, 5, 4, 3, 2, 1, 14, 13, 12, // 23950-23959 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 23960-23969 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 23970-23979 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 23980-23989 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 23990-23999 + 1, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 24000-24009 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 24010-24019 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 14, // 24020-24029 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 24030-24039 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 24040-24049 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 24050-24059 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 24060-24069 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 24070-24079 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 24080-24089 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 24090-24099 + 3, 2, 1, 4, 3, 2, 1, 2, 1, 4, // 24100-24109 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 24110-24119 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 24120-24129 + 3, 2, 1, 4, 3, 2, 1, 14, 13, 12, // 24130-24139 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 24140-24149 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 24150-24159 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 24160-24169 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 24170-24179 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 24180-24189 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 24190-24199 + 3, 2, 1, 20, 19, 18, 17, 16, 15, 14, // 24200-24209 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 24210-24219 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 10, // 24220-24229 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 24230-24239 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 24240-24249 + 1, 30, 29, 28, 27, 26, 25, 24, 23, 22, // 24250-24259 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 24260-24269 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 24270-24279 + 1, 36, 35, 34, 33, 32, 31, 30, 29, 28, // 24280-24289 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 24290-24299 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 24300-24309 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 24310-24319 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 24320-24329 + 7, 6, 5, 4, 3, 2, 1, 22, 21, 20, // 24330-24339 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 24340-24349 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 24350-24359 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 24360-24369 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 24370-24379 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 24380-24389 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 24390-24399 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 24400-24409 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 24410-24419 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 24420-24429 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 24430-24439 + 3, 2, 1, 26, 25, 24, 23, 22, 21, 20, // 24440-24449 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 24450-24459 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 24460-24469 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 24470-24479 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 24480-24489 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 24490-24499 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 24500-24509 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 24510-24519 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 24520-24529 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 24530-24539 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 24540-24549 + 1, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 24550-24559 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 24560-24569 + 1, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 24570-24579 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 24580-24589 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 24590-24599 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 24600-24609 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 24610-24619 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 24620-24629 + 1, 28, 27, 26, 25, 24, 23, 22, 21, 20, // 24630-24639 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 24640-24649 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 24650-24659 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 24660-24669 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 24670-24679 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 24680-24689 + 1, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 24690-24699 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 24, // 24700-24709 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 24710-24719 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 24720-24729 + 3, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 24730-24739 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 24740-24749 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 24750-24759 + 3, 2, 1, 4, 3, 2, 1, 14, 13, 12, // 24760-24769 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 24770-24779 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 24780-24789 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 10, // 24790-24799 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 24800-24809 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 24810-24819 + 1, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 24820-24829 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 24830-24839 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 24840-24849 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 18, // 24850-24859 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 24860-24869 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 24870-24879 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 18, // 24880-24889 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 24890-24899 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 24900-24909 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 4, // 24910-24919 + 3, 2, 1, 20, 19, 18, 17, 16, 15, 14, // 24920-24929 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 24930-24939 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 24940-24949 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 24950-24959 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 24960-24969 + 1, 6, 5, 4, 3, 2, 1, 2, 1, 10, // 24970-24979 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 24, // 24980-24989 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 24990-24999 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 25000-25009 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 25010-25019 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 25020-25029 + 1, 2, 1, 4, 3, 2, 1, 20, 19, 18, // 25030-25039 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 25040-25049 + 7, 6, 5, 4, 3, 2, 1, 16, 15, 14, // 25050-25059 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 25060-25069 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 25070-25079 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 25080-25089 + 7, 6, 5, 4, 3, 2, 1, 14, 13, 12, // 25090-25099 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 25100-25109 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 25110-25119 + 1, 6, 5, 4, 3, 2, 1, 20, 19, 18, // 25120-25129 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 25130-25139 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 25140-25149 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 25150-25159 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 25160-25169 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 25170-25179 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 30, // 25180-25189 + 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, // 25190-25199 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 25200-25209 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 25210-25219 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 25220-25229 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 25230-25239 + 3, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 25240-25249 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 25250-25259 + 1, 40, 39, 38, 37, 36, 35, 34, 33, 32, // 25260-25269 + 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, // 25270-25279 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 25280-25289 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 25290-25299 + 1, 2, 1, 4, 3, 2, 1, 2, 1, 12, // 25300-25309 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 25310-25319 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 25320-25329 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 25330-25339 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 25340-25349 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 25350-25359 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 25360-25369 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 25370-25379 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 25380-25389 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 25390-25399 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 25400-25409 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 25410-25419 + 3, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 25420-25429 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 25430-25439 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 25440-25449 + 3, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 25450-25459 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 25460-25469 + 1, 52, 51, 50, 49, 48, 47, 46, 45, 44, // 25470-25479 + 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, // 25480-25489 + 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, // 25490-25499 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 25500-25509 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 25510-25519 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 25520-25529 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 25530-25539 + 1, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 25540-25549 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 25550-25559 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 25560-25569 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 4, // 25570-25579 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 25580-25589 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 25590-25599 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 25600-25609 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 25610-25619 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 25620-25629 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 4, // 25630-25639 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 25640-25649 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 25650-25659 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 25660-25669 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 14, // 25670-25679 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 25680-25689 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 25690-25699 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 25700-25709 + 7, 6, 5, 4, 3, 2, 1, 16, 15, 14, // 25710-25719 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 25720-25729 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 25730-25739 + 1, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 25740-25749 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 25750-25759 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 25760-25769 + 1, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 25770-25779 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 25780-25789 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 25790-25799 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 25800-25809 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 22, // 25810-25819 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 25820-25829 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 25830-25839 + 1, 6, 5, 4, 3, 2, 1, 2, 1, 18, // 25840-25849 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 25850-25859 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 25860-25869 + 3, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 25870-25879 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 25880-25889 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 25890-25899 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 25900-25909 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 25910-25919 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 25920-25929 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 4, // 25930-25939 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 25940-25949 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 25950-25959 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 25960-25969 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 25970-25979 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 25980-25989 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 4, // 25990-25999 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 26000-26009 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 26010-26019 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 26020-26029 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 26030-26039 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 26040-26049 + 3, 2, 1, 30, 29, 28, 27, 26, 25, 24, // 26050-26059 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 26060-26069 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 26070-26079 + 3, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 26080-26089 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 26090-26099 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 26100-26109 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 22, // 26110-26119 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 26120-26129 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 26130-26139 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 26140-26149 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 26150-26159 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 26160-26169 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 26170-26179 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 14, // 26180-26189 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 26190-26199 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 18, // 26200-26209 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 26210-26219 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 26220-26229 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 26230-26239 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 26240-26249 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 26250-26259 + 1, 2, 1, 4, 3, 2, 1, 26, 25, 24, // 26260-26269 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 26270-26279 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 26280-26289 + 3, 2, 1, 4, 3, 2, 1, 12, 11, 10, // 26290-26299 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 26300-26309 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 26310-26319 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 26320-26329 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 26330-26339 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 26340-26349 + 7, 6, 5, 4, 3, 2, 1, 14, 13, 12, // 26350-26359 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 26360-26369 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 26370-26379 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 26380-26389 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 26390-26399 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 26400-26409 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 26410-26419 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 26420-26429 + 1, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 26430-26439 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 26440-26449 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 20, // 26450-26459 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 26460-26469 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 26470-26479 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 26480-26489 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 26490-26499 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 26500-26509 + 3, 2, 1, 26, 25, 24, 23, 22, 21, 20, // 26510-26519 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 26520-26529 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 18, // 26530-26539 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 26540-26549 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 26550-26559 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 26560-26569 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 26570-26579 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 26580-26589 + 1, 6, 5, 4, 3, 2, 1, 30, 29, 28, // 26590-26599 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 26600-26609 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 26610-26619 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 26620-26629 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 26630-26639 + 1, 6, 5, 4, 3, 2, 1, 22, 21, 20, // 26640-26649 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 26650-26659 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 26660-26669 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 26670-26679 + 1, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 26680-26689 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 26690-26699 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 26700-26709 + 1, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 26710-26719 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 26720-26729 + 1, 6, 5, 4, 3, 2, 1, 22, 21, 20, // 26730-26739 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 26740-26749 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 18, // 26750-26759 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 26760-26769 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 26770-26779 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 26780-26789 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 26790-26799 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 26800-26809 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 26810-26819 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 26820-26829 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 10, // 26830-26839 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 26840-26849 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 26850-26859 + 1, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 26860-26869 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 26870-26879 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 26880-26889 + 1, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 26890-26899 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 26900-26909 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 26910-26919 + 1, 6, 5, 4, 3, 2, 1, 20, 19, 18, // 26920-26929 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 26930-26939 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 26940-26949 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 22, // 26950-26959 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 26960-26969 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 26970-26979 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 26980-26989 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 26990-26999 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 27000-27009 + 1, 6, 5, 4, 3, 2, 1, 14, 13, 12, // 27010-27019 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 27020-27029 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 27030-27039 + 3, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 27040-27049 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 27050-27059 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 27060-27069 + 3, 2, 1, 4, 3, 2, 1, 14, 13, 12, // 27070-27079 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 27080-27089 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 27090-27099 + 3, 2, 1, 4, 3, 2, 1, 2, 1, 18, // 27100-27109 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 27110-27119 + 7, 6, 5, 4, 3, 2, 1, 16, 15, 14, // 27120-27129 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 27130-27139 + 3, 2, 1, 36, 35, 34, 33, 32, 31, 30, // 27140-27149 + 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, // 27150-27159 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 27160-27169 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 27170-27179 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 27180-27189 + 1, 6, 5, 4, 3, 2, 1, 14, 13, 12, // 27190-27199 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 27200-27209 + 1, 28, 27, 26, 25, 24, 23, 22, 21, 20, // 27210-27219 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 27220-27229 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 27230-27239 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 27240-27249 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 27250-27259 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 27260-27269 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 27270-27279 + 1, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 27280-27289 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 30, // 27290-27299 + 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, // 27300-27309 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 27310-27319 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 27320-27329 + 7, 6, 5, 4, 3, 2, 1, 24, 23, 22, // 27330-27339 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 27340-27349 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 27350-27359 + 1, 6, 5, 4, 3, 2, 1, 30, 29, 28, // 27360-27369 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 27370-27379 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 27380-27389 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 27390-27399 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 18, // 27400-27409 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 27410-27419 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 27420-27429 + 1, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 27430-27439 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 27440-27449 + 7, 6, 5, 4, 3, 2, 1, 22, 21, 20, // 27450-27459 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 27460-27469 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 27470-27479 + 1, 6, 5, 4, 3, 2, 1, 22, 21, 20, // 27480-27489 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 27490-27499 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 18, // 27500-27509 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 27510-27519 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 10, // 27520-27529 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 27530-27539 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 27540-27549 + 1, 30, 29, 28, 27, 26, 25, 24, 23, 22, // 27550-27559 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 27560-27569 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 27570-27579 + 1, 2, 1, 28, 27, 26, 25, 24, 23, 22, // 27580-27589 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 27590-27599 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 27600-27609 + 1, 6, 5, 4, 3, 2, 1, 14, 13, 12, // 27610-27619 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 27620-27629 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 27630-27639 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 27640-27649 + 3, 2, 1, 20, 19, 18, 17, 16, 15, 14, // 27650-27659 + 13, 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22, 21, 20, 19, 18, 17, 16, 15, 14, // 27860-27869 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 27870-27879 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 27880-27889 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 27890-27899 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 27900-27909 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 22, // 27910-27919 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 27920-27929 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 27930-27939 + 1, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 27940-27949 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 27950-27959 + 1, 6, 5, 4, 3, 2, 1, 16, 15, 14, // 27960-27969 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 27970-27979 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 27980-27989 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 27990-27999 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 28000-28009 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 28010-28019 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 28020-28029 + 1, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 28030-28039 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 28040-28049 + 1, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 28050-28059 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 28060-28069 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 28070-28079 + 1, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 28080-28089 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 10, // 28090-28099 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 28100-28109 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 28110-28119 + 3, 2, 1, 28, 27, 26, 25, 24, 23, 22, // 28120-28129 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 28130-28139 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 28140-28149 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 28150-28159 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 28160-28169 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 28170-28179 + 1, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 28180-28189 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 28190-28199 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 28200-28209 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 28210-28219 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 48, // 28220-28229 + 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, // 28230-28239 + 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, // 28240-28249 + 27, 26, 25, 24, 23, 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2, 1, 4, 3, 2, // 28650-28659 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 18, // 28660-28669 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 28670-28679 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 28680-28689 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 28690-28699 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 28700-28709 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 28710-28719 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 22, // 28720-28729 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 28730-28739 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 28740-28749 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 28750-28759 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 28760-28769 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 28770-28779 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 28780-28789 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 28790-28799 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 28800-28809 + 3, 2, 1, 4, 3, 2, 1, 20, 19, 18, // 28810-28819 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 28820-28829 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 28830-28839 + 3, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 28840-28849 + 9, 8, 7, 6, 5, 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8, 7, 6, 5, 4, 3, 2, 1, 4, // 29050-29059 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 29060-29069 + 7, 6, 5, 4, 3, 2, 1, 24, 23, 22, // 29070-29079 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 29080-29089 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 29090-29099 + 1, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 29100-29109 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 29110-29119 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 29120-29129 + 1, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 29130-29139 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 29140-29149 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 29150-29159 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 29160-29169 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 29170-29179 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 29180-29189 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 29190-29199 + 1, 6, 5, 4, 3, 2, 1, 2, 1, 12, // 29200-29209 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 29210-29219 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 29220-29229 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 29230-29239 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 29240-29249 + 1, 18, 17, 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4, 3, 2, // 29840-29849 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 29850-29859 + 3, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 29860-29869 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 29870-29879 + 1, 36, 35, 34, 33, 32, 31, 30, 29, 28, // 29880-29889 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 29890-29899 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 29900-29909 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 29910-29919 + 1, 6, 5, 4, 3, 2, 1, 20, 19, 18, // 29920-29929 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 29930-29939 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 29940-29949 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 24, // 29950-29959 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 29960-29969 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 29970-29979 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 22, // 29980-29989 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 29990-29999 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 30000-30009 + 1, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 30010-30019 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 18, // 30020-30029 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 30030-30039 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 30040-30049 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 30050-30059 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 30060-30069 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 30070-30079 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 30080-30089 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 30090-30099 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 4, // 30100-30109 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 14, // 30110-30119 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 30120-30129 + 3, 2, 1, 4, 3, 2, 1, 2, 1, 22, // 30130-30139 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 30140-30149 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 30150-30159 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 30160-30169 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 30170-30179 + 1, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 30180-30189 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 30190-30199 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 30200-30209 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 30210-30219 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 30220-30229 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 30230-30239 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11, 10, // 30430-30439 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 18, // 30440-30449 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 30450-30459 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 22, // 30460-30469 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 30470-30479 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 30480-30489 + 1, 2, 1, 4, 3, 2, 1, 12, 11, 10, // 30490-30499 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 30500-30509 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 30510-30519 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 30520-30529 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 30530-30539 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 30540-30549 + 3, 2, 1, 4, 3, 2, 1, 2, 1, 18, // 30550-30559 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 30560-30569 + 7, 6, 5, 4, 3, 2, 1, 16, 15, 14, // 30570-30579 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 30580-30589 + 3, 2, 1, 38, 37, 36, 35, 34, 33, 32, // 30590-30599 + 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, // 30600-30609 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 30610-30619 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 30620-30629 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 30630-30639 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 30640-30649 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 30650-30659 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 30660-30669 + 1, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 30670-30679 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 30680-30689 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 30690-30699 + 3, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 30700-30709 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 30710-30719 + 7, 6, 5, 4, 3, 2, 1, 30, 29, 28, // 30720-30729 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 30730-30739 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 30740-30749 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 30750-30759 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 30760-30769 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 30770-30779 + 1, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 30780-30789 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 30790-30799 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 30800-30809 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 30810-30819 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 30820-30829 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 30830-30839 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 30840-30849 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 10, // 30850-30859 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 30860-30869 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 30870-30879 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 30880-30889 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 30890-30899 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 30900-30909 + 1, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 30910-30919 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 30920-30929 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 30930-30939 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 22, // 30940-30949 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 30950-30959 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 30960-30969 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 30970-30979 + 3, 2, 1, 30, 29, 28, 27, 26, 25, 24, // 30980-30989 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 30990-30999 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 31000-31009 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 14, // 31010-31019 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 31020-31029 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 31030-31039 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 31040-31049 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 31050-31059 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 10, // 31060-31069 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 31070-31079 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 31080-31089 + 1, 30, 29, 28, 27, 26, 25, 24, 23, 22, // 31090-31099 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 31100-31109 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 31110-31119 + 1, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 31120-31129 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 31130-31139 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 31140-31149 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 18, // 31150-31159 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 31160-31169 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 31170-31179 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 4, // 31180-31189 + 3, 2, 1, 26, 25, 24, 23, 22, 21, 20, // 31190-31199 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 31200-31209 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 31210-31219 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 31220-31229 + 1, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 31230-31239 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 4, // 31240-31249 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 31250-31259 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 31260-31269 + 1, 6, 5, 4, 3, 2, 1, 30, 29, 28, // 31270-31279 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 31280-31289 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 31290-31299 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 31300-31309 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 31310-31319 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 31320-31329 + 3, 2, 1, 4, 3, 2, 1, 20, 19, 18, // 31330-31339 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 31340-31349 + 7, 6, 5, 4, 3, 2, 1, 22, 21, 20, // 31350-31359 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 31360-31369 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 31370-31379 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 31380-31389 + 1, 2, 1, 4, 3, 2, 1, 72, 71, 70, // 31390-31399 + 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, // 31400-31409 + 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, // 31410-31419 + 49, 48, 47, 46, 45, 44, 43, 42, 41, 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31810-31819 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 31820-31829 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 31830-31839 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 10, // 31840-31849 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 31850-31859 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 31860-31869 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 31870-31879 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 31880-31889 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 31890-31899 + 7, 6, 5, 4, 3, 2, 1, 50, 49, 48, // 31900-31909 + 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, // 31910-31919 + 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, // 31920-31929 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 31930-31939 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 31940-31949 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 31950-31959 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 31960-31969 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 31970-31979 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 31980-31989 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 31990-31999 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 18, // 32000-32009 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 32010-32019 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 22, // 32020-32029 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 32030-32039 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 32040-32049 + 1, 6, 5, 4, 3, 2, 1, 2, 1, 4, // 32050-32059 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 32060-32069 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 32070-32079 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 10, // 32080-32089 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 18, // 32090-32099 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 32100-32109 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 22, // 32110-32119 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 32120-32129 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 32130-32139 + 1, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 32140-32149 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 32150-32159 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 32160-32169 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 32170-32179 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 32180-32189 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 32190-32199 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 32200-32209 + 3, 2, 1, 20, 19, 18, 17, 16, 15, 14, // 32210-32219 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 32220-32229 + 3, 2, 1, 4, 3, 2, 1, 14, 13, 12, // 32230-32239 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 32240-32249 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 32250-32259 + 1, 36, 35, 34, 33, 32, 31, 30, 29, 28, // 32260-32269 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 32270-32279 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 32280-32289 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 4, // 32290-32299 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 32300-32309 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 32310-32319 + 1, 2, 1, 4, 3, 2, 1, 14, 13, 12, // 32320-32329 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 32330-32339 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 32340-32349 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 4, // 32350-32359 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 32360-32369 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 32370-32379 + 1, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 32380-32389 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 32390-32399 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 32400-32409 + 1, 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14, // 39930-39939 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 39940-39949 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 39950-39959 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 39960-39969 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 39970-39979 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 20, // 39980-39989 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 39990-39999 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 40000-40009 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 40010-40019 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 40020-40029 + 1, 6, 5, 4, 3, 2, 1, 2, 1, 24, // 40030-40039 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 40040-40049 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 40050-40059 + 3, 2, 1, 24, 23, 22, 21, 20, 19, 18, // 40060-40069 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 40070-40079 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 40080-40089 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 40090-40099 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 40100-40109 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 40110-40119 + 3, 2, 1, 4, 3, 2, 1, 2, 1, 22, // 40120-40129 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 40130-40139 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 40140-40149 + 1, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 40150-40159 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 40160-40169 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 40170-40179 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 40180-40189 + 3, 2, 1, 20, 19, 18, 17, 16, 15, 14, // 40190-40199 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 40200-40209 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 40210-40219 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 40220-40229 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 40230-40239 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 40240-40249 + 3, 2, 1, 24, 23, 22, 21, 20, 19, 18, // 40250-40259 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 40260-40269 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 40270-40279 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 54, // 40280-40289 + 53, 52, 51, 50, 49, 48, 47, 46, 45, 44, // 40290-40299 + 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, // 40300-40309 + 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, // 40310-40319 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 40320-40329 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 40330-40339 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 40340-40349 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 40350-40359 + 1, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 40360-40369 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 40370-40379 + 7, 6, 5, 4, 3, 2, 1, 36, 35, 34, // 40380-40389 + 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, // 40390-40399 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 40400-40409 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 40410-40419 + 3, 2, 1, 4, 3, 2, 1, 2, 1, 4, // 40420-40429 + 3, 2, 1, 26, 25, 24, 23, 22, 21, 20, // 40430-40439 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 40440-40449 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 40450-40459 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 40460-40469 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 40470-40479 + 3, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 40480-40489 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 40490-40499 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 40500-40509 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 40510-40519 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 40520-40529 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 40530-40539 + 3, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 40540-40549 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 18, // 40550-40559 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 40560-40569 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 40570-40579 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 40580-40589 + 1, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 40590-40599 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 18, // 40600-40609 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 40610-40619 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 40620-40629 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 54, // 40630-40639 + 53, 52, 51, 50, 49, 48, 47, 46, 45, 44, // 40640-40649 + 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, // 40650-40659 + 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, // 40660-40669 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 40670-40679 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 40680-40689 + 3, 2, 1, 4, 3, 2, 1, 2, 1, 10, // 40690-40699 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 30, // 40700-40709 + 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, // 40710-40719 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 40720-40729 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 40730-40739 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 40740-40749 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 40750-40759 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 40760-40769 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 40770-40779 + 7, 6, 5, 4, 3, 2, 1, 14, 13, 12, // 40780-40789 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 40790-40799 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 40800-40809 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 4, // 40810-40819 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 40820-40829 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 40830-40839 + 1, 6, 5, 4, 3, 2, 1, 2, 1, 4, // 40840-40849 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 40850-40859 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 40860-40869 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 40870-40879 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 40880-40889 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 40890-40899 + 3, 2, 1, 24, 23, 22, 21, 20, 19, 18, // 40900-40909 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 40910-40919 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 40920-40929 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 10, // 40930-40939 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 40940-40949 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 40950-40959 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 40960-40969 + 3, 2, 1, 20, 19, 18, 17, 16, 15, 14, // 40970-40979 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 40980-40989 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 40990-40999 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 41000-41009 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 41010-41019 + 3, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 41020-41029 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 41030-41039 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 41040-41049 + 1, 6, 5, 4, 3, 2, 1, 20, 19, 18, // 41050-41059 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 41060-41069 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 41070-41079 + 1, 32, 31, 30, 29, 28, 27, 26, 25, 24, // 41080-41089 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 41090-41099 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 41100-41109 + 3, 2, 1, 4, 3, 2, 1, 14, 13, 12, // 41110-41119 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 41120-41129 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 41130-41139 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 41140-41149 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 41150-41159 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 41160-41169 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 4, // 41170-41179 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 41180-41189 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 41190-41199 + 1, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 41200-41209 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 41210-41219 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 41220-41229 + 1, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 41230-41239 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 41240-41249 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 41250-41259 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 41260-41269 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 41270-41279 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 41280-41289 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 34, // 41290-41299 + 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, // 41300-41309 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 41310-41319 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 41320-41329 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 41330-41339 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 41340-41349 + 1, 6, 5, 4, 3, 2, 1, 24, 23, 22, // 41350-41359 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 41360-41369 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 41370-41379 + 1, 6, 5, 4, 3, 2, 1, 2, 1, 10, // 41380-41389 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 41390-41399 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 41400-41409 + 1, 2, 1, 30, 29, 28, 27, 26, 25, 24, // 41410-41419 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 41420-41429 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 41430-41439 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 41440-41449 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 41450-41459 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 41460-41469 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 41470-41479 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 41480-41489 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 41490-41499 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 41500-41509 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 41510-41519 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 41520-41529 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 41530-41539 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 30, // 41540-41549 + 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, // 41550-41559 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 41560-41569 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 41570-41579 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 41580-41589 + 3, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 41590-41599 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 41600-41609 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 41610-41619 + 1, 6, 5, 4, 3, 2, 1, 14, 13, 12, // 41620-41629 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 41630-41639 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 41640-41649 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 41650-41659 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 41660-41669 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 41670-41679 + 1, 6, 5, 4, 3, 2, 1, 32, 31, 30, // 41680-41689 + 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, // 41690-41699 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 41700-41709 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 41710-41719 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 41720-41729 + 7, 6, 5, 4, 3, 2, 1, 22, 21, 20, // 41730-41739 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 41740-41749 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 41750-41759 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 41760-41769 + 1, 6, 5, 4, 3, 2, 1, 24, 23, 22, // 41770-41779 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 41780-41789 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 41790-41799 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 41800-41809 + 3, 2, 1, 30, 29, 28, 27, 26, 25, 24, // 41810-41819 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 41820-41829 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 41830-41839 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 41840-41849 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 41850-41859 + 3, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 41860-41869 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 41870-41879 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 41880-41889 + 3, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 41890-41899 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 41900-41909 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 41910-41919 + 7, 6, 5, 4, 3, 2, 1, 14, 13, 12, // 41920-41929 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 41930-41939 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 41940-41949 + 3, 2, 1, 4, 3, 2, 1, 2, 1, 10, // 41950-41959 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 41960-41969 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 41970-41979 + 1, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 41980-41989 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 41990-41999 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 42000-42009 + 3, 2, 1, 4, 3, 2, 1, 2, 1, 4, // 42010-42019 + 3, 2, 1, 20, 19, 18, 17, 16, 15, 14, // 42020-42029 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 42030-42039 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 42040-42049 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 42050-42059 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 42060-42069 + 1, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 42070-42079 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 42080-42089 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 42090-42099 + 1, 30, 29, 28, 27, 26, 25, 24, 23, 22, // 42100-42109 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 42110-42119 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 42120-42129 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 18, // 42130-42139 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 42140-42149 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 42150-42159 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 42160-42169 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 42170-42179 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 42180-42189 + 3, 2, 1, 4, 3, 2, 1, 12, 11, 10, // 42190-42199 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 42200-42209 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 42210-42219 + 1, 2, 1, 4, 3, 2, 1, 12, 11, 10, // 42220-42229 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 18, // 42230-42239 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 42240-42249 + 7, 6, 5, 4, 3, 2, 1, 24, 23, 22, // 42250-42259 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 42260-42269 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 42270-42279 + 1, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 42280-42289 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 42290-42299 + 7, 6, 5, 4, 3, 2, 1, 16, 15, 14, // 42300-42309 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 42310-42319 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 42320-42329 + 1, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 42330-42339 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 42340-42349 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 42350-42359 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 42360-42369 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 42370-42379 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 42380-42389 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 42390-42399 + 3, 2, 1, 4, 3, 2, 1, 2, 1, 24, // 42400-42409 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 42410-42419 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 42420-42429 + 3, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 42430-42439 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 42440-42449 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 42450-42459 + 1, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 42460-42469 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 42470-42479 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 42480-42489 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 42490-42499 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 24, // 42500-42509 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 42510-42519 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 42520-42529 + 3, 2, 1, 24, 23, 22, 21, 20, 19, 18, // 42530-42539 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 42540-42549 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 42550-42559 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 42560-42569 + 1, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 42570-42579 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 22, // 42580-42589 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 42590-42599 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 42600-42609 + 1, 30, 29, 28, 27, 26, 25, 24, 23, 22, // 42610-42619 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 42620-42629 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 42630-42639 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 18, // 42640-42649 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 42650-42659 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 42660-42669 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 42670-42679 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 42680-42689 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 42690-42699 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 10, // 42700-42709 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 42710-42719 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 42720-42729 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 42730-42739 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 42740-42749 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 42750-42759 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 42760-42769 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 42770-42779 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 42780-42789 + 3, 2, 1, 4, 3, 2, 1, 24, 23, 22, // 42790-42799 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 42800-42809 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 42810-42819 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 42820-42829 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 42830-42839 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 42840-42849 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 4, // 42850-42859 + 3, 2, 1, 36, 35, 34, 33, 32, 31, 30, // 42860-42869 + 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, // 42870-42879 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 42880-42889 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 42890-42899 + 1, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 42900-42909 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 42910-42919 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 42920-42929 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 42930-42939 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 42940-42949 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 42950-42959 + 1, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 42960-42969 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 42970-42979 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 42980-42989 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 42990-42999 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 43000-43009 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 18, // 43010-43019 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 43020-43029 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 43030-43039 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 43040-43049 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 43050-43059 + 3, 2, 1, 4, 3, 2, 1, 26, 25, 24, // 43060-43069 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 43070-43079 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 43080-43089 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 43090-43099 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 43100-43109 + 7, 6, 5, 4, 3, 2, 1, 16, 15, 14, // 43110-43119 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 43120-43129 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 43130-43139 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 43140-43149 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 18, // 43150-43159 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 43160-43169 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 43170-43179 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 43180-43189 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 43190-43199 + 1, 6, 5, 4, 3, 2, 1, 16, 15, 14, // 43200-43209 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 43210-43219 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 43220-43229 + 7, 6, 5, 4, 3, 2, 1, 24, 23, 22, // 43230-43239 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 43240-43249 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 43250-43259 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 43260-43269 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 43270-43279 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 43280-43289 + 1, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 43290-43299 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 43300-43309 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 43310-43319 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 43320-43329 + 1, 60, 59, 58, 57, 56, 55, 54, 53, 52, // 43330-43339 + 51, 50, 49, 48, 47, 46, 45, 44, 43, 42, // 43340-43349 + 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, // 43350-43359 + 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, // 43360-43369 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 43370-43379 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 43380-43389 + 1, 6, 5, 4, 3, 2, 1, 2, 1, 4, // 43390-43399 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 43400-43409 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 43410-43419 + 7, 6, 5, 4, 3, 2, 1, 14, 13, 12, // 43420-43429 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 43430-43439 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 43440-43449 + 1, 6, 5, 4, 3, 2, 1, 24, 23, 22, // 43450-43459 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 43460-43469 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 43470-43479 + 1, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 43480-43489 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 18, // 43490-43499 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 43500-43509 + 7, 6, 5, 4, 3, 2, 1, 24, 23, 22, // 43510-43519 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 43520-43529 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 43530-43539 + 1, 2, 1, 30, 29, 28, 27, 26, 25, 24, // 43540-43549 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 43550-43559 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 43560-43569 + 3, 2, 1, 4, 3, 2, 1, 2, 1, 12, // 43570-43579 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 43580-43589 + 1, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 43590-43599 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 4, // 43600-43609 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 43610-43619 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 43620-43629 + 3, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 43630-43639 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 43640-43649 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 43650-43659 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 22, // 43660-43669 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 43670-43679 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 43680-43689 + 1, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 43690-43699 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 43700-43709 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 43710-43719 + 1, 32, 31, 30, 29, 28, 27, 26, 25, 24, // 43720-43729 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 43730-43739 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 43740-43749 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 18, // 43750-43759 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 43760-43769 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 43770-43779 + 1, 2, 1, 4, 3, 2, 1, 2, 1, 4, // 43780-43789 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 43790-43799 + 1, 52, 51, 50, 49, 48, 47, 46, 45, 44, // 43800-43809 + 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, // 43810-43819 + 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, // 43820-43829 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 43830-43839 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 43840-43849 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 43850-43859 + 7, 6, 5, 4, 3, 2, 1, 22, 21, 20, // 43860-43869 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 43870-43879 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 43880-43889 + 1, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 43890-43899 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 43900-43909 + 3, 2, 1, 20, 19, 18, 17, 16, 15, 14, // 43910-43919 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 43920-43929 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 43930-43939 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 43940-43949 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 43950-43959 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 4, // 43960-43969 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 43970-43979 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 43980-43989 + 1, 6, 5, 4, 3, 2, 1, 20, 19, 18, // 43990-43999 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 44000-44009 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 44010-44019 + 1, 6, 5, 4, 3, 2, 1, 2, 1, 12, // 44020-44029 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 44030-44039 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 44040-44049 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 44050-44059 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 44060-44069 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 44070-44079 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 12, // 44080-44089 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 44090-44099 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 44100-44109 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 44110-44119 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 44120-44129 + 1, 28, 27, 26, 25, 24, 23, 22, 21, 20, // 44130-44139 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 44140-44149 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 44150-44159 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 44160-44169 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 44170-44179 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 44180-44189 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 44190-44199 + 1, 2, 1, 4, 3, 2, 1, 14, 13, 12, // 44200-44209 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 44210-44219 + 1, 28, 27, 26, 25, 24, 23, 22, 21, 20, // 44220-44229 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 44230-44239 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 44240-44249 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 44250-44259 + 3, 2, 1, 4, 3, 2, 1, 2, 1, 4, // 44260-44269 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 44270-44279 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 44280-44289 + 3, 2, 1, 58, 57, 56, 55, 54, 53, 52, // 44290-44299 + 51, 50, 49, 48, 47, 46, 45, 44, 43, 42, // 44300-44309 + 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, // 44310-44319 + 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, // 44320-44329 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 44330-44339 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 44340-44349 + 1, 6, 5, 4, 3, 2, 1, 14, 13, 12, // 44350-44359 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 44360-44369 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 44370-44379 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 28, // 44380-44389 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 44390-44399 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 44400-44409 + 7, 6, 5, 4, 3, 2, 1, 32, 31, 30, // 44410-44419 + 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, // 44420-44429 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 44430-44439 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 44440-44449 + 3, 2, 1, 30, 29, 28, 27, 26, 25, 24, // 44450-44459 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 44460-44469 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 44470-44479 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 44480-44489 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 44490-44499 + 1, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 44500-44509 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 44510-44519 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 44520-44529 + 1, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 44530-44539 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 14, // 44540-44549 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 44550-44559 + 3, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 44560-44569 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 44570-44579 + 7, 6, 5, 4, 3, 2, 1, 30, 29, 28, // 44580-44589 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 44590-44599 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 44600-44609 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 44610-44619 + 1, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 44620-44629 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 44630-44639 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 44640-44649 + 1, 6, 5, 4, 3, 2, 1, 26, 25, 24, // 44650-44659 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 44660-44669 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 44670-44679 + 3, 2, 1, 4, 3, 2, 1, 12, 11, 10, // 44680-44689 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 44690-44699 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 44700-44709 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 44710-44719 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 44720-44729 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 44730-44739 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 44740-44749 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 44750-44759 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 44760-44769 + 1, 2, 1, 4, 3, 2, 1, 12, 11, 10, // 44770-44779 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 44780-44789 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 44790-44799 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 44800-44809 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 20, // 44810-44819 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 44820-44829 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 44830-44839 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 44840-44849 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 44850-44859 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 44860-44869 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 44870-44879 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 44880-44889 + 3, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 44890-44899 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 44900-44909 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 44910-44919 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 44920-44929 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 44930-44939 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 44940-44949 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 4, // 44950-44959 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 44960-44969 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 44970-44979 + 3, 2, 1, 4, 3, 2, 1, 20, 19, 18, // 44980-44989 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 44990-44999 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 45000-45009 + 3, 2, 1, 40, 39, 38, 37, 36, 35, 34, // 45010-45019 + 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, // 45020-45029 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 45030-45039 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 45040-45049 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 45050-45059 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 45060-45069 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 45070-45079 + 3, 2, 1, 36, 35, 34, 33, 32, 31, 30, // 45080-45089 + 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, // 45090-45099 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 45100-45109 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 45110-45119 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 45120-45129 + 1, 6, 5, 4, 3, 2, 1, 2, 1, 22, // 45130-45139 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 45140-45149 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 45150-45159 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 45160-45169 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 45170-45179 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 45180-45189 + 1, 6, 5, 4, 3, 2, 1, 36, 35, 34, // 45190-45199 + 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, // 45200-45209 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 45210-45219 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 45220-45229 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 45230-45239 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 45240-45249 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 45250-45259 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 45260-45269 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 45270-45279 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 45280-45289 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 45290-45299 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 45300-45309 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 10, // 45310-45319 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 45320-45329 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 45330-45339 + 1, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 45340-45349 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 45350-45359 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 45360-45369 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 45370-45379 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 45380-45389 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 45390-45399 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 45400-45409 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 45410-45419 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 45420-45429 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 42, // 45430-45439 + 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, // 45440-45449 + 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, // 45450-45459 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 45460-45469 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 45470-45479 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 45480-45489 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 45490-45499 + 3, 2, 1, 20, 19, 18, 17, 16, 15, 14, // 45500-45509 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 45510-45519 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 45520-45529 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 45530-45539 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 45540-45549 + 3, 2, 1, 4, 3, 2, 1, 12, 11, 10, // 45550-45559 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 18, // 45560-45569 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 45570-45579 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 10, // 45580-45589 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 45590-45599 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 45600-45609 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 45610-45619 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 45620-45629 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 45630-45639 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 45640-45649 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 45650-45659 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 45660-45669 + 3, 2, 1, 4, 3, 2, 1, 14, 13, 12, // 45670-45679 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 45680-45689 + 1, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 45690-45699 + 7, 6, 5, 4, 3, 2, 1, 30, 29, 28, // 45700-45709 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 45710-45719 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 45720-45729 + 7, 6, 5, 4, 3, 2, 1, 14, 13, 12, // 45730-45739 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 45740-45749 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 45750-45759 + 3, 2, 1, 4, 3, 2, 1, 12, 11, 10, // 45760-45769 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 38, // 45770-45779 + 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, // 45780-45789 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 45790-45799 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 45800-45809 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 45810-45819 + 1, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 45820-45829 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 45830-45839 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 45840-45849 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 45850-45859 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 18, // 45860-45869 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 45870-45879 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 45880-45889 + 3, 2, 1, 50, 49, 48, 47, 46, 45, 44, // 45890-45899 + 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, // 45900-45909 + 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, // 45910-45919 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 45920-45929 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 45930-45939 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 4, // 45940-45949 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 45950-45959 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 45960-45969 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 45970-45979 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 32, // 45980-45989 + 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, // 45990-45999 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 46000-46009 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 46010-46019 + 1, 6, 5, 4, 3, 2, 1, 22, 21, 20, // 46020-46029 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 46030-46039 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 46040-46049 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 46050-46059 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 46060-46069 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 46070-46079 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 46080-46089 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 4, // 46090-46099 + 3, 2, 1, 30, 29, 28, 27, 26, 25, 24, // 46100-46109 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 46110-46119 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 46120-46129 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 46130-46139 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 46140-46149 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 46150-46159 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 46160-46169 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 46170-46179 + 1, 2, 1, 4, 3, 2, 1, 12, 11, 10, // 46180-46189 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 20, // 46190-46199 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 46200-46209 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 46210-46219 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 46220-46229 + 7, 6, 5, 4, 3, 2, 1, 24, 23, 22, // 46230-46239 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 46240-46249 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 46250-46259 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 46260-46269 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 22, // 46270-46279 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 46280-46289 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 46290-46299 + 1, 6, 5, 4, 3, 2, 1, 2, 1, 18, // 46300-46309 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 46310-46319 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 46320-46329 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 46330-46339 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 46340-46349 + 1, 30, 29, 28, 27, 26, 25, 24, 23, 22, // 46350-46359 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 46360-46369 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 46370-46379 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 46380-46389 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 46390-46399 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 46400-46409 + 1, 28, 27, 26, 25, 24, 23, 22, 21, 20, // 46410-46419 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 46420-46429 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 46430-46439 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 46440-46449 + 1, 6, 5, 4, 3, 2, 1, 14, 13, 12, // 46450-46459 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 46460-46469 + 1, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 46470-46479 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 46480-46489 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 46490-46499 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 46500-46509 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 46510-46519 + 3, 2, 1, 26, 25, 24, 23, 22, 21, 20, // 46520-46529 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 46530-46539 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 46540-46549 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 46550-46559 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 46560-46569 + 3, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 46570-46579 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 46580-46589 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 46590-46599 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 46600-46609 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 46610-46619 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 46620-46629 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 4, // 46630-46639 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 14, // 46640-46649 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 46650-46659 + 3, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 46660-46669 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 46670-46679 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 46680-46689 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 46690-46699 + 3, 2, 1, 20, 19, 18, 17, 16, 15, 14, // 46700-46709 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 46710-46719 + 3, 2, 1, 4, 3, 2, 1, 20, 19, 18, // 46720-46729 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 46730-46739 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 46740-46749 + 1, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 46750-46759 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 46760-46769 + 1, 36, 35, 34, 33, 32, 31, 30, 29, 28, // 46770-46779 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 46780-46789 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 46790-46799 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 46800-46809 + 1, 6, 5, 4, 3, 2, 1, 2, 1, 10, // 46810-46819 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 46820-46829 + 1, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 46830-46839 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 46840-46849 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 46850-46859 + 1, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 46860-46869 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 46870-46879 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 46880-46889 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 46890-46899 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 46900-46909 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 46910-46919 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 46920-46929 + 3, 2, 1, 24, 23, 22, 21, 20, 19, 18, // 46930-46939 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 46940-46949 + 7, 6, 5, 4, 3, 2, 1, 36, 35, 34, // 46950-46959 + 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, // 46960-46969 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 46970-46979 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 46980-46989 + 3, 2, 1, 4, 3, 2, 1, 20, 19, 18, // 46990-46999 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 47000-47009 + 7, 6, 5, 4, 3, 2, 1, 24, 23, 22, // 47010-47019 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 47020-47029 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 47030-47039 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 47040-47049 + 1, 6, 5, 4, 3, 2, 1, 2, 1, 28, // 47050-47059 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 47060-47069 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 47070-47079 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 47080-47089 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 47090-47099 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 47100-47109 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 47110-47119 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 47120-47129 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 47130-47139 + 3, 2, 1, 4, 3, 2, 1, 2, 1, 12, // 47140-47149 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 47150-47159 + 1, 28, 27, 26, 25, 24, 23, 22, 21, 20, // 47160-47169 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 47170-47179 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 18, // 47180-47189 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 47190-47199 + 7, 6, 5, 4, 3, 2, 1, 14, 13, 12, // 47200-47209 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 47210-47219 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 47220-47229 + 7, 6, 5, 4, 3, 2, 1, 14, 13, 12, // 47230-47239 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 47240-47249 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 47250-47259 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 47260-47269 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 47270-47279 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 47280-47289 + 3, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 47290-47299 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 47300-47309 + 7, 6, 5, 4, 3, 2, 1, 22, 21, 20, // 47310-47319 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 47320-47329 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 47330-47339 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 47340-47349 + 1, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 47350-47359 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 47360-47369 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 47370-47379 + 1, 6, 5, 4, 3, 2, 1, 2, 1, 18, // 47380-47389 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 47390-47399 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 47400-47409 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 12, // 47410-47419 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 47420-47429 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 47430-47439 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 47440-47449 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 32, // 47450-47459 + 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, // 47460-47469 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 47470-47479 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 47480-47489 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 47490-47499 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 47500-47509 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 47510-47519 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 47520-47529 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 47530-47539 + 3, 2, 1, 20, 19, 18, 17, 16, 15, 14, // 47540-47549 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 47550-47559 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 47560-47569 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 47570-47579 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 47580-47589 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 47590-47599 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 47600-47609 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 47610-47619 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 10, // 47620-47629 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 47630-47639 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 47640-47649 + 3, 2, 1, 4, 3, 2, 1, 2, 1, 22, // 47650-47659 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 47660-47669 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 47670-47679 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 47680-47689 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 47690-47699 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 47700-47709 + 1, 2, 1, 4, 3, 2, 1, 20, 19, 18, // 47710-47719 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 47720-47729 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 47730-47739 + 1, 2, 1, 34, 33, 32, 31, 30, 29, 28, // 47740-47749 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 47750-47759 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 47760-47769 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 12, // 47770-47779 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 47780-47789 + 1, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 47790-47799 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 10, // 47800-47809 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 18, // 47810-47819 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 47820-47829 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 47830-47839 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 47840-47849 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 47850-47859 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 47860-47869 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 47870-47879 + 1, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 47880-47889 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 47890-47899 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 47900-47909 + 1, 6, 5, 4, 3, 2, 1, 16, 15, 14, // 47910-47919 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 47920-47929 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 47930-47939 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 47940-47949 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 47950-47959 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 47960-47969 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 47970-47979 + 1, 36, 35, 34, 33, 32, 31, 30, 29, 28, // 47980-47989 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 47990-47999 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 48000-48009 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 48010-48019 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 20, // 48020-48029 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 48030-48039 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 24, // 48040-48049 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 48050-48059 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 48060-48069 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 48070-48079 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 48080-48089 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 48090-48099 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 48100-48109 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 48110-48119 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 48120-48129 + 1, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 48130-48139 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 48140-48149 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 48150-48159 + 3, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 48160-48169 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 48170-48179 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 48180-48189 + 3, 2, 1, 4, 3, 2, 1, 24, 23, 22, // 48190-48199 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 48200-48209 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 48210-48219 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 48220-48229 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 48230-48239 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 48240-48249 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 48250-48259 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 48260-48269 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 48270-48279 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 48280-48289 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 48290-48299 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 48300-48309 + 1, 2, 1, 24, 23, 22, 21, 20, 19, 18, // 48310-48319 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 48320-48329 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 48330-48339 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 48340-48349 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 48350-48359 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 48360-48369 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 48370-48379 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 48380-48389 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 48390-48399 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 4, // 48400-48409 + 3, 2, 1, 24, 23, 22, 21, 20, 19, 18, // 48410-48419 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 48420-48429 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 48430-48439 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 48440-48449 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 48450-48459 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 48460-48469 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 48470-48479 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 48480-48489 + 1, 6, 5, 4, 3, 2, 1, 26, 25, 24, // 48490-48499 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 48500-48509 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 48510-48519 + 3, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 48520-48529 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 48530-48539 + 1, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 48540-48549 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 48550-48559 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 48560-48569 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 48570-48579 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 48580-48589 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 48590-48599 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 48600-48609 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 48610-48619 + 3, 2, 1, 24, 23, 22, 21, 20, 19, 18, // 48620-48629 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 48630-48639 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 12, // 48640-48649 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 48650-48659 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 48660-48669 + 3, 2, 1, 4, 3, 2, 1, 2, 1, 52, // 48670-48679 + 51, 50, 49, 48, 47, 46, 45, 44, 43, 42, // 48680-48689 + 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, // 48690-48699 + 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, // 48700-48709 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 48710-48719 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 48720-48729 + 1, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 48730-48739 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 48740-48749 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 48750-48759 + 1, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 48760-48769 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 48770-48779 + 1, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 48780-48789 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 48790-48799 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 48800-48809 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 48810-48819 + 1, 2, 1, 24, 23, 22, 21, 20, 19, 18, // 48820-48829 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 48830-48839 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 48840-48849 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 10, // 48850-48859 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 48860-48869 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 48870-48879 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 18, // 48880-48889 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 48890-48899 + 7, 6, 5, 4, 3, 2, 1, 40, 39, 38, // 48900-48909 + 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, // 48910-48919 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 48920-48929 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 48930-48939 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 48940-48949 + 3, 2, 1, 20, 19, 18, 17, 16, 15, 14, // 48950-48959 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 48960-48969 + 3, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 48970-48979 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 48980-48989 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 48990-48999 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 10, // 49000-49009 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 49010-49019 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 49020-49029 + 1, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 49030-49039 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 49040-49049 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 49050-49059 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 49060-49069 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 49070-49079 + 1, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 49080-49089 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 49090-49099 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 49100-49109 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 49110-49119 + 1, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 49120-49129 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 18, // 49130-49139 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 49140-49149 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 49150-49159 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 49160-49169 + 1, 6, 5, 4, 3, 2, 1, 16, 15, 14, // 49170-49179 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 49180-49189 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 49190-49199 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 49200-49209 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 49210-49219 + 3, 2, 1, 30, 29, 28, 27, 26, 25, 24, // 49220-49229 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 49230-49239 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 49240-49249 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 49250-49259 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 49260-49269 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 18, // 49270-49279 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 49280-49289 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 49290-49299 + 7, 6, 5, 4, 3, 2, 1, 24, 23, 22, // 49300-49309 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 49310-49319 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 49320-49329 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 24, // 49330-49339 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 49340-49349 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 49350-49359 + 3, 2, 1, 4, 3, 2, 1, 2, 1, 22, // 49360-49369 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 49370-49379 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 49380-49389 + 1, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 49390-49399 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 49400-49409 + 1, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 49410-49419 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 49420-49429 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 49430-49439 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 49440-49449 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 49450-49459 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 49460-49469 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 49470-49479 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 49480-49489 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 24, // 49490-49499 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 49500-49509 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 49510-49519 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 49520-49529 + 1, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 49530-49539 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 10, // 49540-49549 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 38, // 49550-49559 + 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, // 49560-49569 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 49570-49579 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 49580-49589 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 49590-49599 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 49600-49609 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 49610-49619 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 49620-49629 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 24, // 49630-49639 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 49640-49649 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 49650-49659 + 3, 2, 1, 4, 3, 2, 1, 2, 1, 12, // 49660-49669 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 49670-49679 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 49680-49689 + 7, 6, 5, 4, 3, 2, 1, 14, 13, 12, // 49690-49699 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 49700-49709 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 49710-49719 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 49720-49729 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 49730-49739 + 1, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 49740-49749 + 7, 6, 5, 4, 3, 2, 1, 26, 25, 24, // 49750-49759 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 49760-49769 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 49770-49779 + 3, 2, 1, 4, 3, 2, 1, 2, 1, 12, // 49780-49789 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 49790-49799 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 49800-49809 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 49810-49819 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 49820-49829 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 49830-49839 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 49840-49849 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 49850-49859 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 49860-49869 + 1, 6, 5, 4, 3, 2, 1, 14, 13, 12, // 49870-49879 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 49880-49889 + 1, 28, 27, 26, 25, 24, 23, 22, 21, 20, // 49890-49899 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 49900-49909 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 49910-49919 + 1, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 49920-49929 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 4, // 49930-49939 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 49940-49949 + 7, 6, 5, 4, 3, 2, 1, 34, 33, 32, // 49950-49959 + 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, // 49960-49969 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 49970-49979 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 49980-49989 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 22, // 49990-49999 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 50000-50009 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 50010-50019 + 1, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 50020-50029 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 50030-50039 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 50040-50049 + 1, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 50050-50059 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 50060-50069 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 50070-50079 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 50080-50089 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 50090-50099 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 50100-50109 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 50110-50119 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 50120-50129 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 50130-50139 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 50140-50149 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 18, // 50150-50159 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 50160-50169 + 7, 6, 5, 4, 3, 2, 1, 30, 29, 28, // 50170-50179 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 50180-50189 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 50190-50199 + 7, 6, 5, 4, 3, 2, 1, 14, 13, 12, // 50200-50209 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 50210-50219 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 50220-50229 + 1, 30, 29, 28, 27, 26, 25, 24, 23, 22, // 50230-50239 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 50240-50249 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 50250-50259 + 1, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 50260-50269 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 50270-50279 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 50280-50289 + 1, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 50290-50299 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 50300-50309 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 50310-50319 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 50320-50329 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 50330-50339 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 50340-50349 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 50350-50359 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 50360-50369 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 50370-50379 + 3, 2, 1, 4, 3, 2, 1, 24, 23, 22, // 50380-50389 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 50390-50399 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 50400-50409 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 50410-50419 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 50420-50429 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 50430-50439 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 50440-50449 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 50450-50459 + 1, 36, 35, 34, 33, 32, 31, 30, 29, 28, // 50460-50469 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 50470-50479 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 50480-50489 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 50490-50499 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 50500-50509 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 50510-50519 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 50520-50529 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 50530-50539 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 50540-50549 + 1, 30, 29, 28, 27, 26, 25, 24, 23, 22, // 50550-50559 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 50560-50569 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 50570-50579 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 50580-50589 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 28, // 50590-50599 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 50600-50609 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 50610-50619 + 7, 6, 5, 4, 3, 2, 1, 20, 19, 18, // 50620-50629 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 50630-50639 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 50640-50649 + 1, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 50650-50659 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 50660-50669 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 50670-50679 + 3, 2, 1, 24, 23, 22, 21, 20, 19, 18, // 50680-50689 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 50690-50699 + 7, 6, 5, 4, 3, 2, 1, 16, 15, 14, // 50700-50709 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 50710-50719 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 50720-50729 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 50730-50739 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 50740-50749 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 50750-50759 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 50760-50769 + 3, 2, 1, 4, 3, 2, 1, 12, 11, 10, // 50770-50779 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 32, // 50780-50789 + 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, // 50790-50799 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 50800-50809 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 50810-50819 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 50820-50829 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 10, // 50830-50839 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 50840-50849 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 50850-50859 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 50860-50869 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 50870-50879 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 50880-50889 + 1, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 50890-50899 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 50900-50909 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 50910-50919 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 22, // 50920-50929 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 50930-50939 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 50940-50949 + 1, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 50950-50959 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 50960-50969 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 50970-50979 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 50980-50989 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 50990-50999 + 1, 30, 29, 28, 27, 26, 25, 24, 23, 22, // 51000-51009 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 51010-51019 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 51020-51029 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 51030-51039 + 3, 2, 1, 4, 3, 2, 1, 12, 11, 10, // 51040-51049 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 51050-51059 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 51060-51069 + 1, 38, 37, 36, 35, 34, 33, 32, 31, 30, // 51070-51079 + 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, // 51080-51089 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 51090-51099 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 22, // 51100-51109 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 51110-51119 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 51120-51129 + 1, 2, 1, 4, 3, 2, 1, 14, 13, 12, // 51130-51139 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 51140-51149 + 1, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 51150-51159 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 24, // 51160-51169 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 51170-51179 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 51180-51189 + 3, 2, 1, 4, 3, 2, 1, 2, 1, 4, // 51190-51199 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 51200-51209 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 51210-51219 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 51220-51229 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 51230-51239 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 51240-51249 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 51250-51259 + 3, 2, 1, 20, 19, 18, 17, 16, 15, 14, // 51260-51269 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 51270-51279 + 3, 2, 1, 4, 3, 2, 1, 20, 19, 18, // 51280-51289 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 51290-51299 + 7, 6, 5, 4, 3, 2, 1, 22, 21, 20, // 51300-51309 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 51310-51319 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 51320-51329 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 51330-51339 + 1, 2, 1, 4, 3, 2, 1, 2, 1, 12, // 51340-51349 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 51350-51359 + 1, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 51360-51369 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 51370-51379 + 3, 2, 1, 24, 23, 22, 21, 20, 19, 18, // 51380-51389 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 51390-51399 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 51400-51409 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 51410-51419 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 51420-51429 + 1, 6, 5, 4, 3, 2, 1, 2, 1, 10, // 51430-51439 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 51440-51449 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 51450-51459 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 51460-51469 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 51470-51479 + 1, 6, 5, 4, 3, 2, 1, 16, 15, 14, // 51480-51489 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 51490-51499 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 51500-51509 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 51510-51519 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 51520-51529 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 51530-51539 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 51540-51549 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 51550-51559 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 51560-51569 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 51570-51579 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 51580-51589 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 51590-51599 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 51600-51609 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 51610-51619 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 51620-51629 + 1, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 51630-51639 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 51640-51649 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 51650-51659 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 51660-51669 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 4, // 51670-51679 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 51680-51689 + 1, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 51690-51699 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 51700-51709 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 51710-51719 + 1, 28, 27, 26, 25, 24, 23, 22, 21, 20, // 51720-51729 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 51730-51739 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 18, // 51740-51749 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 51750-51759 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 18, // 51760-51769 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 51770-51779 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 51780-51789 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 51790-51799 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 51800-51809 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 51810-51819 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 10, // 51820-51829 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 51830-51839 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 51840-51849 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 10, // 51850-51859 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 51860-51869 + 1, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 51870-51879 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 51880-51889 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 51890-51899 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 51900-51909 + 3, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 51910-51919 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 51920-51929 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 51930-51939 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 22, // 51940-51949 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 51950-51959 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 51960-51969 + 1, 2, 1, 4, 3, 2, 1, 14, 13, 12, // 51970-51979 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 51980-51989 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 51990-51999 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 52000-52009 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 52010-52019 + 1, 6, 5, 4, 3, 2, 1, 24, 23, 22, // 52020-52029 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 52030-52039 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 52040-52049 + 1, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 52050-52059 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 12, // 52060-52069 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 52070-52079 + 1, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 52080-52089 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 52090-52099 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 52100-52109 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 52110-52119 + 1, 6, 5, 4, 3, 2, 1, 20, 19, 18, // 52120-52129 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 52130-52139 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 52140-52149 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 52150-52159 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 52160-52169 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 52170-52179 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 52180-52189 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 52190-52199 + 1, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 52200-52209 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 52210-52219 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 52220-52229 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 52230-52239 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 52240-52249 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 52250-52259 + 7, 6, 5, 4, 3, 2, 1, 22, 21, 20, // 52260-52269 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 52270-52279 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 52280-52289 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 52290-52299 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 52300-52309 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 52310-52319 + 1, 40, 39, 38, 37, 36, 35, 34, 33, 32, // 52320-52329 + 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, // 52330-52339 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 52340-52349 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 52350-52359 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 10, // 52360-52369 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 52370-52379 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 52380-52389 + 1, 42, 41, 40, 39, 38, 37, 36, 35, 34, // 52390-52399 + 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, // 52400-52409 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 52410-52419 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 52420-52429 + 3, 2, 1, 20, 19, 18, 17, 16, 15, 14, // 52430-52439 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 52440-52449 + 3, 2, 1, 4, 3, 2, 1, 32, 31, 30, // 52450-52459 + 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, // 52460-52469 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 52470-52479 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 52480-52489 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 52490-52499 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 52500-52509 + 1, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 52510-52519 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 52520-52529 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 52530-52539 + 1, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 52540-52549 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 52550-52559 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 52560-52569 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 52570-52579 + 3, 2, 1, 26, 25, 24, 23, 22, 21, 20, // 52580-52589 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 52590-52599 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 18, // 52600-52609 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 52610-52619 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 52620-52629 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 28, // 52630-52639 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 52640-52649 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 52650-52659 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 52660-52669 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 52670-52679 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 52680-52689 + 1, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 52690-52699 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 52700-52709 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 52710-52719 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 52720-52729 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 52730-52739 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 52740-52749 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 52750-52759 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 52760-52769 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 52770-52779 + 3, 2, 1, 24, 23, 22, 21, 20, 19, 18, // 52780-52789 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 52790-52799 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 52800-52809 + 3, 2, 1, 4, 3, 2, 1, 20, 19, 18, // 52810-52819 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 52820-52829 + 7, 6, 5, 4, 3, 2, 1, 22, 21, 20, // 52830-52839 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 52840-52849 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 52850-52859 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 52860-52869 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 52870-52879 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 52880-52889 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 52890-52899 + 1, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 52900-52909 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 18, // 52910-52919 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 52920-52929 + 7, 6, 5, 4, 3, 2, 1, 14, 13, 12, // 52930-52939 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 52940-52949 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 52950-52959 + 3, 2, 1, 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53940-53949 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 28, // 53950-53959 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 53960-53969 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 53970-53979 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 53980-53989 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 53990-53999 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 54000-54009 + 1, 2, 1, 24, 23, 22, 21, 20, 19, 18, // 54010-54019 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 54020-54029 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 54030-54039 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 54040-54049 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 24, // 54050-54059 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 54060-54069 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 54070-54079 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 54080-54089 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 54090-54099 + 1, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 54100-54109 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 54110-54119 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 54120-54129 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 54130-54139 + 11, 10, 9, 8, 7, 6, 5, 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54530-54539 + 1, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 54540-54549 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 54550-54559 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 54560-54569 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 54570-54579 + 1, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 54580-54589 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 54590-54599 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 54600-54609 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 54610-54619 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 54620-54629 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 54630-54639 + 7, 6, 5, 4, 3, 2, 1, 20, 19, 18, // 54640-54649 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 54650-54659 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 54660-54669 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 30, // 54670-54679 + 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, // 54680-54689 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 54690-54699 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 54700-54709 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 54710-54719 + 1, 6, 5, 4, 3, 2, 1, 24, 23, 22, // 54720-54729 + 21, 20, 19, 18, 17, 16, 15, 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5, 4, 3, 2, // 55320-55329 + 1, 2, 1, 4, 3, 2, 1, 2, 1, 4, // 55330-55339 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 55340-55349 + 1, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 55350-55359 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 55360-55369 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 55370-55379 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 55380-55389 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 55390-55399 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 55400-55409 + 1, 28, 27, 26, 25, 24, 23, 22, 21, 20, // 55410-55419 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 55420-55429 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 55430-55439 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 55440-55449 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 55450-55459 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 18, // 55460-55469 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 55470-55479 + 7, 6, 5, 4, 3, 2, 1, 14, 13, 12, // 55480-55489 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 55490-55499 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 55500-55509 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 55510-55519 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 55520-55529 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 55530-55539 + 1, 6, 5, 4, 3, 2, 1, 32, 31, 30, // 55540-55549 + 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, // 55550-55559 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 55560-55569 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 55570-55579 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 55580-55589 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 55590-55599 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 10, // 55600-55609 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 55610-55619 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 55620-55629 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 22, // 55630-55639 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 55640-55649 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 55650-55659 + 1, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 55660-55669 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 55670-55679 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 55680-55689 + 1, 6, 5, 4, 3, 2, 1, 14, 13, 12, // 55690-55699 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 55700-55709 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 55710-55719 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 55720-55729 + 3, 2, 1, 30, 29, 28, 27, 26, 25, 24, // 55730-55739 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 55740-55749 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 55750-55759 + 3, 2, 1, 24, 23, 22, 21, 20, 19, 18, // 55760-55769 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 55770-55779 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 55780-55789 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 55790-55799 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 55800-55809 + 3, 2, 1, 4, 3, 2, 1, 2, 1, 4, // 55810-55819 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 55820-55829 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 55830-55839 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 22, // 55840-55849 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 55850-55859 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 55860-55869 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 55870-55879 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 55880-55889 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 55890-55899 + 1, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 55900-55909 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 55910-55919 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 55920-55929 + 1, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 55930-55939 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 18, // 55940-55949 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 55950-55959 + 7, 6, 5, 4, 3, 2, 1, 20, 19, 18, // 55960-55969 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 55970-55979 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 55980-55989 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 55990-55999 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 30, // 56000-56009 + 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, // 56010-56019 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 56020-56029 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 56030-56039 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 56040-56049 + 3, 2, 1, 28, 27, 26, 25, 24, 23, 22, // 56050-56059 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 56060-56069 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 56070-56079 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 56080-56089 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 56090-56099 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 56100-56109 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 56110-56119 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 56120-56129 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 56130-56139 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 18, // 56140-56149 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 56150-56159 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 56160-56169 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 18, // 56170-56179 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 56180-56189 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 56190-56199 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 28, // 56200-56209 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 56210-56219 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 56220-56229 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 10, // 56230-56239 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 56240-56249 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 56250-56259 + 3, 2, 1, 4, 3, 2, 1, 2, 1, 30, // 56260-56269 + 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, // 56270-56279 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 56280-56289 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 56290-56299 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 56300-56309 + 1, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 56310-56319 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 56320-56329 + 3, 2, 1, 26, 25, 24, 23, 22, 21, 20, // 56330-56339 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 56340-56349 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 56350-56359 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 56360-56369 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 56370-56379 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 56380-56389 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 56390-56399 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 56400-56409 + 7, 6, 5, 4, 3, 2, 1, 14, 13, 12, // 56410-56419 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 56420-56429 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 56430-56439 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 56440-56449 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 56450-56459 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 56460-56469 + 3, 2, 1, 4, 3, 2, 1, 2, 1, 10, // 56470-56479 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 56480-56489 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 56490-56499 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 10, // 56500-56509 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 56510-56519 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 56520-56529 + 1, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 56530-56539 + 3, 2, 1, 26, 25, 24, 23, 22, 21, 20, // 56540-56549 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 56550-56559 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 22, // 56560-56569 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 56570-56579 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 56580-56589 + 1, 6, 5, 4, 3, 2, 1, 2, 1, 12, // 56590-56599 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 56600-56609 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 56610-56619 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 56620-56629 + 3, 2, 1, 26, 25, 24, 23, 22, 21, 20, // 56630-56639 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 56640-56649 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 56650-56659 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 56660-56669 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 56670-56679 + 1, 6, 5, 4, 3, 2, 1, 14, 13, 12, // 56680-56689 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 56690-56699 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 56700-56709 + 1, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 56710-56719 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 56720-56729 + 1, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 56730-56739 + 7, 6, 5, 4, 3, 2, 1, 20, 19, 18, // 56740-56749 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 56750-56759 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 56760-56769 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 4, // 56770-56779 + 3, 2, 1, 24, 23, 22, 21, 20, 19, 18, // 56780-56789 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 56790-56799 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 4, // 56800-56809 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 56810-56819 + 1, 6, 5, 4, 3, 2, 1, 16, 15, 14, // 56820-56829 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 56830-56839 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 56840-56849 + 7, 6, 5, 4, 3, 2, 1, 16, 15, 14, // 56850-56859 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 56860-56869 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 56870-56879 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 56880-56889 + 1, 2, 1, 4, 3, 2, 1, 12, 11, 10, // 56890-56899 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 56900-56909 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 56910-56919 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 56920-56929 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 56930-56939 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 56940-56949 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 56950-56959 + 3, 2, 1, 20, 19, 18, 17, 16, 15, 14, // 56960-56969 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 56970-56979 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 4, // 56980-56989 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 38, // 56990-56999 + 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, // 57000-57009 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 57010-57019 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 57020-57029 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 57030-57039 + 1, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 57040-57049 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 57050-57059 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 57060-57069 + 3, 2, 1, 4, 3, 2, 1, 12, 11, 10, // 57070-57079 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 57080-57089 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 57090-57099 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 57100-57109 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 57110-57119 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 57120-57129 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 57130-57139 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 14, // 57140-57149 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 57150-57159 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 57160-57169 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 57170-57179 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 57180-57189 + 1, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 57190-57199 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 57200-57209 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 57210-57219 + 1, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 57220-57229 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 57230-57239 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 57240-57249 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 57250-57259 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 57260-57269 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 57270-57279 + 3, 2, 1, 4, 3, 2, 1, 14, 13, 12, // 57280-57289 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 57290-57299 + 1, 28, 27, 26, 25, 24, 23, 22, 21, 20, // 57300-57309 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 57310-57319 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 57320-57329 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 57330-57339 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 18, // 57340-57349 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 57350-57359 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 57360-57369 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 57370-57379 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 57380-57389 + 7, 6, 5, 4, 3, 2, 1, 16, 15, 14, // 57390-57399 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 57400-57409 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 57410-57419 + 7, 6, 5, 4, 3, 2, 1, 30, 29, 28, // 57420-57429 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 57430-57439 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 57440-57449 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 57450-57459 + 7, 6, 5, 4, 3, 2, 1, 20, 19, 18, // 57460-57469 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 57470-57479 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 57480-57489 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 57490-57499 + 3, 2, 1, 24, 23, 22, 21, 20, 19, 18, // 57500-57509 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 57510-57519 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 28, // 57520-57529 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 57530-57539 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 57540-57549 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 12, // 57550-57559 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 57560-57569 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 57570-57579 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 57580-57589 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 57590-57599 + 1, 36, 35, 34, 33, 32, 31, 30, 29, 28, // 57600-57609 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 57610-57619 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 57620-57629 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 57630-57639 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 57640-57649 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 57650-57659 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 57660-57669 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 57670-57679 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 57680-57689 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 57690-57699 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 57700-57709 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 57710-57719 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 57720-57729 + 1, 6, 5, 4, 3, 2, 1, 14, 13, 12, // 57730-57739 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 57740-57749 + 1, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 57750-57759 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 57760-57769 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 57770-57779 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 57780-57789 + 1, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 57790-57799 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 20, // 57800-57809 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 57810-57819 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 57820-57829 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 57830-57839 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 57840-57849 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 22, // 57850-57859 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 57860-57869 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 57870-57879 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 57880-57889 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 57890-57899 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 57900-57909 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 57910-57919 + 3, 2, 1, 20, 19, 18, 17, 16, 15, 14, // 57920-57929 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 57930-57939 + 3, 2, 1, 4, 3, 2, 1, 26, 25, 24, // 57940-57949 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 57950-57959 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 57960-57969 + 3, 2, 1, 4, 3, 2, 1, 14, 13, 12, // 57970-57979 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 57980-57989 + 1, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 57990-57999 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 58000-58009 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 58010-58019 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 58020-58029 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 58030-58039 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 58040-58049 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 58050-58059 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 58060-58069 + 3, 2, 1, 26, 25, 24, 23, 22, 21, 20, // 58070-58079 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 58080-58089 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 58090-58099 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 58100-58109 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 58110-58119 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 18, // 58120-58129 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 58130-58139 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 58140-58149 + 1, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 58150-58159 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 58160-58169 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 58170-58179 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 58180-58189 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 58190-58199 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 58200-58209 + 1, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 58210-58219 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 58220-58229 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 58230-58239 + 3, 2, 1, 28, 27, 26, 25, 24, 23, 22, // 58240-58249 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 58250-58259 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 58260-58269 + 1, 38, 37, 36, 35, 34, 33, 32, 31, 30, // 58270-58279 + 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, // 58280-58289 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 58290-58299 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 58300-58309 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 58310-58319 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 58320-58329 + 7, 6, 5, 4, 3, 2, 1, 26, 25, 24, // 58330-58339 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 58340-58349 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 58350-58359 + 3, 2, 1, 4, 3, 2, 1, 2, 1, 10, // 58360-58369 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 58370-58379 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 58380-58389 + 1, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 58390-58399 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 58400-58409 + 1, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 58410-58419 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 58420-58429 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 58430-58439 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 58440-58449 + 1, 2, 1, 24, 23, 22, 21, 20, 19, 18, // 58450-58459 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 58460-58469 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 58470-58479 + 1, 30, 29, 28, 27, 26, 25, 24, 23, 22, // 58480-58489 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 58490-58499 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 58500-58509 + 1, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 58510-58519 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 58520-58529 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 58530-58539 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 18, // 58540-58549 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 58550-58559 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 58560-58569 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 22, // 58570-58579 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 58580-58589 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 58590-58599 + 1, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 58600-58609 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 58610-58619 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 58620-58629 + 1, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 58630-58639 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 58640-58649 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 58650-58659 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 58660-58669 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 58670-58679 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 58680-58689 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 58690-58699 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 58700-58709 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 58710-58719 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 58720-58729 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 58730-58739 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 58740-58749 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 58750-58759 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 58760-58769 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 58770-58779 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 42, // 58780-58789 + 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, // 58790-58799 + 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, // 58800-58809 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 58810-58819 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 58820-58829 + 1, 58, 57, 56, 55, 54, 53, 52, 51, 50, // 58830-58839 + 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, // 58840-58849 + 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, // 58850-58859 + 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, // 58860-58869 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 58870-58879 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 58880-58889 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 58890-58899 + 1, 6, 5, 4, 3, 2, 1, 2, 1, 4, // 58900-58909 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 58910-58919 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 58920-58929 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 58930-58939 + 3, 2, 1, 20, 19, 18, 17, 16, 15, 14, // 58940-58949 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 58950-58959 + 3, 2, 1, 4, 3, 2, 1, 12, 11, 10, // 58960-58969 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 58970-58979 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 58980-58989 + 1, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 58990-58999 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 59000-59009 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 59010-59019 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 22, // 59020-59029 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 59030-59039 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 59040-59049 + 1, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 59050-59059 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 59060-59069 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 59070-59079 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 59080-59089 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 59090-59099 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 59100-59109 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 4, // 59110-59119 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 59120-59129 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 59130-59139 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 59140-59149 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 59150-59159 + 7, 6, 5, 4, 3, 2, 1, 16, 15, 14, // 59160-59169 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 59170-59179 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 59180-59189 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 59190-59199 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 10, // 59200-59209 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 59210-59219 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 59220-59229 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 4, // 59230-59239 + 3, 2, 1, 20, 19, 18, 17, 16, 15, 14, // 59240-59249 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 59250-59259 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 59260-59269 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 59270-59279 + 1, 52, 51, 50, 49, 48, 47, 46, 45, 44, // 59280-59289 + 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, // 59290-59299 + 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, // 59300-59309 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 59310-59319 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 59320-59329 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 59330-59339 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 59340-59349 + 1, 6, 5, 4, 3, 2, 1, 2, 1, 10, // 59350-59359 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 59360-59369 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 59370-59379 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 59380-59389 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 59390-59399 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 59400-59409 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 22, // 59410-59419 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 59420-59429 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 59430-59439 + 1, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 59440-59449 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 59450-59459 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 59460-59469 + 1, 2, 1, 24, 23, 22, 21, 20, 19, 18, // 59470-59479 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 59480-59489 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 59490-59499 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 59500-59509 + 3, 2, 1, 26, 25, 24, 23, 22, 21, 20, // 59510-59519 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 59520-59529 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 18, // 59530-59539 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 59540-59549 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 59550-59559 + 1, 6, 5, 4, 3, 2, 1, 14, 13, 12, // 59560-59569 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 59570-59579 + 1, 30, 29, 28, 27, 26, 25, 24, 23, 22, // 59580-59589 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 59590-59599 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 59600-59609 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 59610-59619 + 1, 6, 5, 4, 3, 2, 1, 2, 1, 22, // 59620-59629 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 59630-59639 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 59640-59649 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 59650-59659 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 59660-59669 + 1, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 59670-59679 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 59680-59689 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 8, // 59690-59699 + 7, 6, 5, 4, 3, 2, 1, 16, 15, 14, // 59700-59709 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 59710-59719 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 14, // 59720-59729 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 59730-59739 + 3, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 59740-59749 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 59750-59759 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 59760-59769 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 59770-59779 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 59780-59789 + 1, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 59790-59799 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 24, // 59800-59809 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 59810-59819 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 59820-59829 + 3, 2, 1, 30, 29, 28, 27, 26, 25, 24, // 59830-59839 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 59840-59849 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 59850-59859 + 3, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 59860-59869 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 59870-59879 + 7, 6, 5, 4, 3, 2, 1, 34, 33, 32, // 59880-59889 + 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, // 59890-59899 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 59900-59909 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 59910-59919 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 22, // 59920-59929 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 59930-59939 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 59940-59949 + 1, 6, 5, 4, 3, 2, 1, 14, 13, 12, // 59950-59959 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 59960-59969 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 59970-59979 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 59980-59989 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 59990-59999 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 60000-60009 + 3, 2, 1, 4, 3, 2, 1, 12, 11, 10, // 60010-60019 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 60020-60029 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 60030-60039 + 1, 36, 35, 34, 33, 32, 31, 30, 29, 28, // 60040-60049 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 60050-60059 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 60060-60069 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 60070-60079 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 2, // 60080-60089 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 60090-60099 + 1, 2, 1, 4, 3, 2, 1, 20, 19, 18, // 60100-60109 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 60110-60119 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 60120-60129 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 10, // 60130-60139 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 60140-60149 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 60150-60159 + 1, 6, 5, 4, 3, 2, 1, 2, 1, 40, // 60160-60169 + 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, // 60170-60179 + 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, // 60180-60189 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 60190-60199 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 60200-60209 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 60210-60219 + 3, 2, 1, 28, 27, 26, 25, 24, 23, 22, // 60220-60229 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 60230-60239 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 60240-60249 + 1, 6, 5, 4, 3, 2, 1, 2, 1, 12, // 60250-60259 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 60260-60269 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24, // 60460-60469 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 60470-60479 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 60480-60489 + 3, 2, 1, 4, 3, 2, 1, 12, 11, 10, // 60490-60499 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 60500-60509 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 60510-60519 + 1, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 60520-60529 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 50, // 60530-60539 + 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, // 60540-60549 + 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, // 60550-60559 + 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, // 60560-60569 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 60570-60579 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 60580-60589 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 60590-60599 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 60600-60609 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 60610-60619 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 60620-60629 + 1, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 60630-60639 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 10, // 60640-60649 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 60650-60659 + 1, 18, 17, 16, 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2, 1, 24, 23, 22, // 62820-62829 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 62830-62839 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 62840-62849 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 62850-62859 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 62860-62869 + 3, 2, 1, 24, 23, 22, 21, 20, 19, 18, // 62870-62879 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 62880-62889 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 62890-62899 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 62900-62909 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 62910-62919 + 1, 6, 5, 4, 3, 2, 1, 2, 1, 10, // 62920-62929 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 30, // 62930-62939 + 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, // 62940-62949 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 62950-62959 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 62960-62969 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 62970-62979 + 1, 2, 1, 4, 3, 2, 1, 2, 1, 40, // 62980-62989 + 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, // 62990-62999 + 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, // 63000-63009 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 63010-63019 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 63020-63029 + 1, 28, 27, 26, 25, 24, 23, 22, 21, 20, // 63030-63039 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 63040-63049 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 63050-63059 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 63060-63069 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 18, // 63070-63079 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 63080-63089 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 63090-63099 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 63100-63109 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 63110-63119 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 63120-63129 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 63130-63139 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 30, // 63140-63149 + 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, // 63150-63159 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 63160-63169 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 18, // 63170-63179 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 63180-63189 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 12, // 63190-63199 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 63200-63209 + 1, 30, 29, 28, 27, 26, 25, 24, 23, 22, // 63210-63219 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 63220-63229 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 63230-63239 + 1, 6, 5, 4, 3, 2, 1, 30, 29, 28, // 63240-63249 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 63250-63259 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 63260-63269 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 63270-63279 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 63280-63289 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, // 63290-63299 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 63300-63309 + 1, 2, 1, 4, 3, 2, 1, 14, 13, 12, // 63310-63319 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 63320-63329 + 1, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 63330-63339 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 63340-63349 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 63350-63359 + 1, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 63360-63369 + 7, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 63370-63379 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 63380-63389 + 1, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 63390-63399 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 63400-63409 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 63410-63419 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 63420-63429 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 63430-63439 + 3, 2, 1, 20, 19, 18, 17, 16, 15, 14, // 63440-63449 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 63450-63459 + 3, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 63460-63469 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 63470-63479 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 63480-63489 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 22, // 63490-63499 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 63500-63509 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 63510-63519 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 63520-63529 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 63530-63539 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 63540-63549 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 18, // 63550-63559 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 63560-63569 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 63570-63579 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 10, // 63580-63589 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 63590-63599 + 1, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 63600-63609 + 1, 6, 5, 4, 3, 2, 1, 12, 11, 10, // 63610-63619 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 18, // 63620-63629 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 63630-63639 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 10, // 63640-63649 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 63650-63659 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 63660-63669 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 63670-63679 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 63680-63689 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 63690-63699 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 10, // 63700-63709 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 63710-63719 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 63720-63729 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 63730-63739 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 63740-63749 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 63750-63759 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 63760-63769 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 63770-63779 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 63780-63789 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 4, // 63790-63799 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 14, // 63800-63809 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 63810-63819 + 3, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 63820-63829 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 63830-63839 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 63840-63849 + 3, 2, 1, 4, 3, 2, 1, 6, 5, 4, // 63850-63859 + 3, 2, 1, 38, 37, 36, 35, 34, 33, 32, // 63860-63869 + 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, // 63870-63879 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 63880-63889 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 63890-63899 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 63900-63909 + 3, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 63910-63919 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 20, // 63920-63929 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 63930-63939 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 28, // 63940-63949 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 63950-63959 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 63960-63969 + 7, 6, 5, 4, 3, 2, 1, 20, 19, 18, // 63970-63979 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 63980-63989 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 63990-63999 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 64000-64009 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 14, // 64010-64019 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 64020-64029 + 3, 2, 1, 4, 3, 2, 1, 26, 25, 24, // 64030-64039 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 64040-64049 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 64050-64059 + 3, 2, 1, 4, 3, 2, 1, 14, 13, 12, // 64060-64069 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 64070-64079 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 64080-64089 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 64090-64099 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 64100-64109 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 64110-64119 + 3, 2, 1, 28, 27, 26, 25, 24, 23, 22, // 64120-64129 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 64130-64139 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 64140-64149 + 1, 2, 1, 4, 3, 2, 1, 14, 13, 12, // 64150-64159 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 64160-64169 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 64170-64179 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 28, // 64180-64189 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 64190-64199 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 64200-64209 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 64210-64219 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 64220-64229 + 1, 6, 5, 4, 3, 2, 1, 34, 33, 32, // 64230-64239 + 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, // 64240-64249 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 64250-64259 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 64260-64269 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 64270-64279 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 64280-64289 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 64290-64299 + 1, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 64300-64309 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 64310-64319 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 64320-64329 + 3, 2, 1, 40, 39, 38, 37, 36, 35, 34, // 64330-64339 + 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, // 64340-64349 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 64350-64359 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 64360-64369 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 64370-64379 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 64380-64389 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 64390-64399 + 3, 2, 1, 30, 29, 28, 27, 26, 25, 24, // 64400-64409 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 64410-64419 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 64420-64429 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 64430-64439 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 64440-64449 + 1, 2, 1, 30, 29, 28, 27, 26, 25, 24, // 64450-64459 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 64460-64469 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 64470-64479 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 10, // 64480-64489 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 64490-64499 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 64500-64509 + 3, 2, 1, 40, 39, 38, 37, 36, 35, 34, // 64510-64519 + 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, // 64520-64529 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 64530-64539 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 64540-64549 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 64550-64559 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 64560-64569 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 12, // 64570-64579 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 64580-64589 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 64590-64599 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 64600-64609 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 64610-64619 + 1, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 64620-64629 + 3, 2, 1, 28, 27, 26, 25, 24, 23, 22, // 64630-64639 + 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, // 64640-64649 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 64650-64659 + 1, 2, 1, 4, 3, 2, 1, 12, 11, 10, // 64660-64669 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 64670-64679 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 64680-64689 + 3, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 64690-64699 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 8, // 64700-64709 + 7, 6, 5, 4, 3, 2, 1, 30, 29, 28, // 64710-64719 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 64720-64729 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 64730-64739 + 7, 6, 5, 4, 3, 2, 1, 16, 15, 14, // 64740-64749 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 64750-64759 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 64760-64769 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 64770-64779 + 1, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 64780-64789 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 64790-64799 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 64800-64809 + 1, 6, 5, 4, 3, 2, 1, 32, 31, 30, // 64810-64819 + 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, // 64820-64829 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 64830-64839 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 64840-64849 + 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, // 64850-64859 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 64860-64869 + 1, 6, 5, 4, 3, 2, 1, 2, 1, 12, // 64870-64879 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 64880-64889 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 64890-64899 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 64900-64909 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 64910-64919 + 1, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 64920-64929 + 7, 6, 5, 4, 3, 2, 1, 14, 13, 12, // 64930-64939 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 64940-64949 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 64950-64959 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 28, // 64960-64969 + 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, // 64970-64979 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 64980-64989 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 64990-64999 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 65000-65009 + 1, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 65010-65019 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 4, // 65020-65029 + 3, 2, 1, 20, 19, 18, 17, 16, 15, 14, // 65030-65039 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 65040-65049 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 65050-65059 + 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, // 65060-65069 + 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 65070-65079 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 10, // 65080-65089 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 65090-65099 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 65100-65109 + 1, 8, 7, 6, 5, 4, 3, 2, 1, 4, // 65110-65119 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 12, // 65120-65129 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 65130-65139 + 1, 6, 5, 4, 3, 2, 1, 20, 19, 18, // 65140-65149 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 65150-65159 + 7, 6, 5, 4, 3, 2, 1, 4, 3, 2, // 65160-65169 + 1, 2, 1, 6, 5, 4, 3, 2, 1, 4, // 65170-65179 + 3, 2, 1, 20, 19, 18, 17, 16, 15, 14, // 65180-65189 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 65190-65199 + 3, 2, 1, 10, 9, 8, 7, 6, 5, 4, // 65200-65209 + 3, 2, 1, 26, 25, 24, 23, 22, 21, 20, // 65210-65219 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 65220-65229 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 18, // 65230-65239 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 65240-65249 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 65250-65259 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 18, // 65260-65269 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 65270-65279 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 65280-65289 + 3, 2, 1, 16, 15, 14, 13, 12, 11, 10, // 65290-65299 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, // 65300-65309 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 65310-65319 + 3, 2, 1, 4, 3, 2, 1, 26, 25, 24, // 65320-65329 + 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, // 65330-65339 + 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 65340-65349 + 3, 2, 1, 4, 3, 2, 1, 14, 13, 12, // 65350-65359 + 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 65360-65369 + 1, 10, 9, 8, 7, 6, 5, 4, 3, 2, // 65370-65379 + 1, 12, 11, 10, 9, 8, 7, 6, 5, 4, // 65380-65389 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 65390-65399 + 7, 6, 5, 4, 3, 2, 1, 6, 5, 4, // 65400-65409 + 3, 2, 1, 6, 5, 4, 3, 2, 1, 4, // 65410-65419 + 3, 2, 1, 14, 13, 12, 11, 10, 9, 8, // 65420-65429 + 7, 6, 5, 4, 3, 2, 1, 10, 9, 8, // 65430-65439 + 7, 6, 5, 4, 3, 2, 1, 2, 1, 30, // 65440-65449 + 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, // 65450-65459 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 65460-65469 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 18, // 65470-65479 + 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, // 65480-65489 + 7, 6, 5, 4, 3, 2, 1, 22, 21, 20, // 65490-65499 + 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, // 65500-65509 + 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, // 65510-65519 + 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, // 65520-65529 + 0, 0, 0, 0, 0, 0, + } + + lohi [256]struct{ lo, hi int } +) + +func init() { + for i, v := range liars { + blk := v >> 24 + x := &lohi[blk] + if x.lo == 0 || i < x.lo { + x.lo = i + } + if i > x.hi { + x.hi = i + } + } +} diff --git a/vendor/modernc.org/mathutil/test_deps.go b/vendor/modernc.org/mathutil/test_deps.go new file mode 100644 index 0000000..bbd5f64 --- /dev/null +++ b/vendor/modernc.org/mathutil/test_deps.go @@ -0,0 +1,11 @@ +// Copyright (c) 2014 The mathutil Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +package mathutil // import "modernc.org/mathutil" + +// Pull test dependencies too. +// Enables easy 'go test X' after 'go get X' +import ( +// nothing yet +) -- cgit 1.4.1