gen.go

//go:build ignore

package main

import (
	"bytes"
	"crypto/md5"
	"encoding/binary"
	"flag"
	"fmt"
	"io/ioutil"
	"os"
	"strconv"
)

// references:
// http://archives1.twoplustwo.com/showflat.php?Cat=0&Number=8513906
// https://web.archive.org/web/20111103160502/http://www.codingthewheel.com/archives/poker-hand-evaluator-roundup#2p2

func main() {
	verbose := flag.Bool("v", true, "verbose")
	out := flag.String("out", "handranks%02d.dat", "out")
	sum := flag.String("sum", "5de2fa6f53f4340d7d91ad605a6400fb", "md5 sum")
	flag.Parse()
	if err := run(*verbose, *out, *sum); err != nil {
		fmt.Fprintf(os.Stderr, "error: %v\n", err)
		os.Exit(1)
	}
}

func run(verbose bool, out, sum string) error {
	logf := func(string, ...interface{}) {}
	if verbose {
		logf = func(s string, v ...interface{}) {
			fmt.Fprintf(os.Stdout, s, v...)
		}
	}
	// step through the ID array - always shifting the current ID and adding 52
	// cards to the end of the array. when I am at 7 cards put the Hand Rank
	// in!! stepping through the ID array is perfect!!
	ranks := NewTwoPlusGenerator(logf)
	counts := make([]int, 10)
	// Store the count of each type of hand (One Pair, Flush, etc)
	// another algorithm right off the thread
	// var c0, c1, c2, c3, c4, c5, c6 int
	// var u0, u1, u2, u3, u4, u5 int
	var count int
	for c0 := uint32(1); c0 < 53; c0++ {
		u0 := ranks[53+c0]
		for c1 := c0 + 1; c1 < 53; c1++ {
			u1 := ranks[u0+c1]
			for c2 := c1 + 1; c2 < 53; c2++ {
				u2 := ranks[u1+c2]
				for c3 := c2 + 1; c3 < 53; c3++ {
					u3 := ranks[u2+c3]
					for c4 := c3 + 1; c4 < 53; c4++ {
						u4 := ranks[u3+c4]
						for c5 := c4 + 1; c5 < 53; c5++ {
							u5 := ranks[u4+c5]
							for c6 := c5 + 1; c6 < 53; c6++ {
								counts[ranks[u5+c6]>>12]++
								count++
							}
						}
					}
				}
			}
		}
	}
	expected := []struct {
		r     HandRank
		count int
	}{
		{Invalid, 0},
		{HighCard, 23294460},
		{Pair, 58627800},
		{TwoPair, 31433400},
		{ThreeOfAKind, 6461620},
		{Straight, 6180020},
		{Flush, 4047644},
		{FullHouse, 3473184},
		{FourOfAKind, 224848},
		{StraightFlush, 41584},
	}
	for i := 0; i <= 9; i++ {
		if expected[i].count != counts[i] {
			return fmt.Errorf("expected %s to have count %d, got: %d", expected[i].r, expected[i].count, counts[i])
		}
		logf("%16s: %d\n", expected[i].r, counts[i])
	}
	if count != 133784560 {
		return fmt.Errorf("expected total count of %d, got: %d", 133784560, count)
	}
	logf("%16s: %d\n", "Total Hands", count)
	buf := new(bytes.Buffer)
	if err := binary.Write(buf, binary.LittleEndian, ranks); err != nil {
		return err
	}
	b := buf.Bytes()
	hash := fmt.Sprintf("%x", md5.Sum(b))
	if hash != sum {
		return fmt.Errorf("expected hash of %s, got: %s", sum, hash)
	}
	logf("%16s: matches!\n", "Hash")
	for i := 0; i < len(b); i += TenMiB {
		n, name := min(uint32(len(b)), uint32(i+TenMiB)), fmt.Sprintf(out, i/TenMiB)
		if err := ioutil.WriteFile(name, b[i:n], 0o644); err != nil {
			return fmt.Errorf("unable to write %s: %w", name, err)
		}
	}
	return nil
}

const TenMiB = 10 * (1 << 20)

// HandRank is a poker hand rank.
type HandRank uint16

// Poker hand rank values.
const (
	StraightFlush HandRank = 10
	FourOfAKind   HandRank = 166
	FullHouse     HandRank = 322
	Flush         HandRank = 1599
	Straight      HandRank = 1609
	ThreeOfAKind  HandRank = 2467
	TwoPair       HandRank = 3325
	Pair          HandRank = 6185
	Nothing       HandRank = 7462
	HighCard      HandRank = Nothing
	Invalid                = HandRank(^uint16(0))
)

// Fixed converts a relative poker rank to a fixed hand rank.
func (r HandRank) Fixed() HandRank {
	switch {
	case r <= StraightFlush:
		return StraightFlush
	case r <= FourOfAKind:
		return FourOfAKind
	case r <= FullHouse:
		return FullHouse
	case r <= Flush:
		return Flush
	case r <= Straight:
		return Straight
	case r <= ThreeOfAKind:
		return ThreeOfAKind
	case r <= TwoPair:
		return TwoPair
	case r <= Pair:
		return Pair
	case r != Invalid:
		return Nothing
	}
	return Invalid
}

// String satisfies the fmt.Stringer interface.
func (r HandRank) String() string {
	switch r.Fixed() {
	case StraightFlush:
		return "Straight Flush"
	case FourOfAKind:
		return "Four of a Kind"
	case FullHouse:
		return "Full House"
	case Flush:
		return "Flush"
	case Straight:
		return "Straight"
	case ThreeOfAKind:
		return "Three of a Kind"
	case TwoPair:
		return "Two Pair"
	case Pair:
		return "Pair"
	case Nothing:
		return "Nothing"
	}
	return "Invalid"
}

// Name returns the hand rank name.
func (r HandRank) Name() string {
	switch r.Fixed() {
	case StraightFlush:
		return "StraightFlush"
	case FourOfAKind:
		return "FourOfAKind"
	case FullHouse:
		return "FullHouse"
	case Flush:
		return "Flush"
	case Straight:
		return "Straight"
	case ThreeOfAKind:
		return "ThreeOfAKind"
	case TwoPair:
		return "TwoPair"
	case Pair:
		return "Pair"
	}
	return "Nothing"
}

type TwoPlusGenerator struct {
	ids   []int64
	ranks []uint32
	count uint32
	maxID int64
}

func NewTwoPlusGenerator(logf func(string, ...interface{})) []uint32 {
	g := &TwoPlusGenerator{
		ids:   make([]int64, 612978),
		ranks: make([]uint32, 32487834),
		count: 1,
		maxID: 0,
	}
	// Jmd: Okay, this loop is going to fill up the IDs[] array which has
	// 612,967 slots. as this loops through and find new combinations it adds
	// them to the end. I need this list to be stable when I set the handranks
	// (next set)  (I do the insertion sort on new IDs these) so I had to get
	// the IDs first and then set the handranks
	for i := uint32(0); g.ids[i] != 0 || i == 0; i++ {
		for j := uint32(0); j < 52; j++ {
			// the ids above contain cards upto the current card.  Now add a
			// new card get the new ID for it and save it in the list if I am
			// not on the 7th card
			if n, id := g.id(g.ids[i], j); n < 7 {
				_ = g.insert(id)
			}
		}
		logf("\r%16s: %6d ", "Generating", i) // show progress -- this counts up to 612976
	}
	logf("(done)\n")
	// this is as above, but will not add anything to the ID list, so it is stable
	var max uint32
	for i := uint32(0); g.ids[i] != 0 || i == 0; i++ {
		var n int
		var id int64
		for j := uint32(0); j < 52; j++ {
			var pos uint32
			if n, id = g.id(g.ids[i], j); n < 7 {
				// when in the index mode (< 7 cards) get the id to save
				pos = g.insert(id)*53 + 53
			} else {
				// if I am at the 7th card, get the equivalence class ("hand rank") to save
				pos = g.eval(id)
			}
			// start at 1 so I have a zero catching entry (just in case)
			max = i*53 + j + 54 // find where to put it
			g.ranks[max] = pos  // and save the pointer to the next card or the handrank
		}
		if n == 6 || n == 7 {
			// an extra, If you want to know what the handrank when there is 5 or 6 cards
			// you can just do HR[u3] or HR[u4] from below code for Handrank of the 5 or
			// 6 card hand
			// this puts the above handrank into the array
			g.ranks[i*53+53] = g.eval(g.ids[i])
		}
		logf("\r%16s: %6d ", "Evaluating", i) // show the progress -- counts to 612976 again
	}
	logf("(done)\n%16s: %d\n%16s: %d\n", "ID Count", g.count, "Max", max)
	return g.ranks
}

// id creates an id for card returning the number of cards and created id.
// generated id is a 64 bit value with each card represented by 8 bits.
func (g *TwoPlusGenerator) id(id int64, card uint32) (int, int64) {
	hand := make([]uint32, 8) // intentionally keeping one as a 0 end
	// add first card. formats card to rrrr00ss
	hand[0] = (((card >> 2) + 1) << 4) + (card & 3) + 1
	// can't have more than 6 cards!
	for i := 0; i < 6; i++ {
		// leave the 0 hole for new card
		hand[i+1] = uint32((id >> (8 * i)) & 0xff)
	}
	ranks, suits, dupe := make([]int, 13+1), make([]int, 4+1), false
	var n int
	for n = 0; hand[n] != 0; n++ {
		suits[hand[n]&0xf]++
		ranks[(hand[n]>>4)&0xf]++
		if n != 0 && hand[0] == hand[n] {
			// can't have the same card twice, so need to bail
			dupe = true
		}
	}
	// has duplicate card (ignore this one)
	if dupe {
		return n, 0
	}
	if n > 4 {
		for rank := 1; rank < 14; rank++ {
			// if I have more than 4 of a rank then I shouldn't do this one!!
			// can't have more than 4 of a rank so return an ID that can't be!
			if ranks[rank] > 4 {
				return n, 0
			}
		}
	}
	// However in the ID process I prefered that 2s = 0x21, 3s = 0x31,.... Kc =
	// 0xD4, Ac = 0xE4 This allows me to sort in Rank then Suit order

	// for suit to be significant, need to have n-2 of same suit if we don't
	// have at least 2 cards of the same suit for 4, we make this card suit 0.
	if required := n - 2; required > 1 {
		for i := 0; i < n; i++ { // for each card
			if suits[hand[i]&0xf] < required {
				// check suitcount to the number I need to have suits
				// significant if not enough - 0 out the suit - now this suit
				// would be a 0 vs 1-4
				hand[i] &= 0xf0
			}
		}
	}

	// sort
	swap := func(i, j int) {
		if hand[i] < hand[j] {
			hand[i], hand[j] = hand[j], hand[i]
		}
	}
	swap(0, 4)
	swap(1, 5)
	swap(2, 6)
	swap(0, 2)
	swap(1, 3)
	swap(4, 6)
	swap(2, 4)
	swap(3, 5)
	swap(0, 1)
	swap(2, 3)
	swap(4, 5)
	swap(1, 4)
	swap(3, 6)
	swap(1, 2)
	swap(3, 4)
	swap(5, 6)

	// put the pieces into a int64 -- cards in bytes -- 66554433221100
	// id is a 64 bit value with each card represented by 8 bits.
	return n, int64(hand[0]) +
		(int64(hand[1]) << 8) +
		(int64(hand[2]) << 16) +
		(int64(hand[3]) << 24) +
		(int64(hand[4]) << 32) +
		(int64(hand[5]) << 40) +
		(int64(hand[6]) << 48)
}

// insert inserts a hand ID into ids.
func (g *TwoPlusGenerator) insert(id int64) uint32 {
	switch {
	case id == 0:
		// don't use up a record for a 0!
		return 0
	case id >= g.maxID:
		// take care of the most likely first goes on the end...
		if id > g.maxID { // greater than create new else it was the last one!
			g.ids[g.count] = id // add the new ID
			g.count++
			g.maxID = id
		}
		return g.count - 1
	}
	// find the slot (by a pseudo bsearch algorithm)
	i, n := uint32(0), g.count-1
	for n-i > 1 {
		j := (n + i + 1) / 2
		switch k := g.ids[j] - id; {
		case k > 0:
			n = j
		case k < 0:
			i = j
		default:
			return j
		}
	}
	// it couldn't be found so must be added to the current location (high)
	// make space...  don't expect this much!
	copy(g.ids[n+1:], g.ids[n:])
	g.ids[n] = id // do the insert into the hole created
	g.count++
	return n
}

// eval converts a 64bit handID to an absolute ranking.
//
// I guess I have some explaining to do here... I used the Cactus Kevs Eval ref
// http://www.suffecool.net/poker/evaluator.html I Love the pokersource for
// speed, but I needed to do some tweaking to get it my way and Cactus Kevs
// stuff was easy to tweak ;-)
func (g *TwoPlusGenerator) eval(id int64) uint32 {
	// bail if bad id
	if id == 0 {
		return 0
	}
	hand, n, suit := make([]uint32, 8), 0, uint32(20)
	for i := 0; i < 7; i, n = i+1, n+1 {
		// convert all 7 cards (0s are ok)
		if hand[i] = uint32((id >> (8 * i)) & 0xff); hand[i] == 0 {
			// once I hit a 0 I know I am done
			break
		}
		// if not 0 then count the card
		if s := hand[i] & 0xf; s != 0 {
			// if suit is significant, save
			suit = s
		}
	}
	// intentionally keeping one with a 0 end
	h := make([]uint32, 8)
	// changed as per Ray Wotton's comment at http://archives1.twoplustwo.com/showflat.php?Cat=0&Number=8513906&page=0&fpart=18&vc=1
	for i, j := 0, uint32(1); i < n; i++ {
		// convert to cactus kev way
		// ref http://www.suffecool.net/poker/evaluator.html
		// +--------+--------+--------+--------+
		// |xxxbbbbb|bbbbbbbb|cdhsrrrr|xxpppppp|
		// +--------+--------+--------+--------+
		// p = prime number of rank (deuce=2,trey=3,four=5,five=7,...,ace=41)
		// r = rank of card (deuce=0,trey=1,four=2,five=3,...,ace=12)
		// cdhs = suit of card
		// b = bit turned on depending on rank of card
		// rank is top 4 bits 1-13 so convert
		// suit is bottom 4 bits 1-4, order is different, but who cares?
		r, s := (hand[i]>>4)-1, hand[i]&0xf
		if s == 0 {
			// if suit is not significant
			s = j
			// loop through available suits
			if j = j + 1; j == 5 {
				j = 1
			}
			if s == suit { // if it was the sigificant suit...  Don't want extras!!
				// skip it
				s = j
				if j = j + 1; j == 5 { // roll 1-4
					j = 1
				}
			}
		}
		// Cactus Kev's value
		h[i] = primes[r] | (r << 8) | (1 << (s + 11)) | (1 << (16 + r))
	}

	var rank uint32
	switch n {
	case 5:
		rank = eval_5(h[0], h[1], h[2], h[3], h[4])
	case 6:
		// if 6 cards I would like to find Result for them
		// Cactus Key is 1 = highest - 7362 lowest
		// I need to get the min for the permutations
		rank = eval_5(h[0], h[1], h[2], h[3], h[4])
		rank = min(rank, eval_5(h[0], h[1], h[2], h[3], h[5]))
		rank = min(rank, eval_5(h[0], h[1], h[2], h[4], h[5]))
		rank = min(rank, eval_5(h[0], h[1], h[3], h[4], h[5]))
		rank = min(rank, eval_5(h[0], h[2], h[3], h[4], h[5]))
		rank = min(rank, eval_5(h[1], h[2], h[3], h[4], h[5]))
	case 7:
		rank = eval_7(h)
	default:
		// problem!!  shouldn't hit this...
		panic("invalid number of cards " + strconv.Itoa(n))
	}

	// (eval)
	// I would like to change the format of Catus Kev's ret value to:
	// hhhhrrrrrrrrrrrr   hhhh = 1 high card -> 9 straight flush
	// r..r = rank within the above  1 to max of 2861
	result := 7463 - rank // now the worst hand = 1
	switch {
	case result < 1278:
		// 1277 high card
		result = result - 0 + 4096*1
	case result < 4138:
		// 2860 one pair
		result = result - 1277 + 4096*2
	case result < 4996:
		// 858 two pair
		result = result - 4137 + 4096*3
	case result < 5854:
		// 858 three-kind
		result = result - 4995 + 4096*4
	case result < 5864:
		// 10 straights
		result = result - 5853 + 4096*5
	case result < 7141:
		// 1277 flushes
		result = result - 5863 + 4096*6
	case result < 7297:
		// 156 full house
		result = result - 7140 + 4096*7
	case result < 7453:
		// 156 four-kind
		result = result - 7296 + 4096*8
	default:
		// 10 str.flushes
		result = result - 7452 + 4096*9
	}
	// now a handrank that I like
	return result
}

// This is a non-optimized method of determining the best five-card hand
// possible out of seven cards. I am working on a faster algorithm.
func eval_7(hand []uint32) uint32 {
	h, rank := make([]uint32, 5), uint32(9999)
	for i := 0; i < 21; i++ {
		for j := 0; j < 5; j++ {
			h[j] = hand[perm7[i][j]]
		}
		if r := eval_5(h[0], h[1], h[2], h[3], h[4]); r < rank {
			rank = r
		}
	}
	return rank
}

func eval_5(c0, c1, c2, c3, c4 uint32) uint32 {
	// check for flushes and straight flushes
	if c0&c1&c2&c3&c4&0xf000 != 0 {
		return flushes[(c0|c1|c2|c3|c4)>>16]
	}
	// check for straights and high card hands
	if r := unique5[(c0|c1|c2|c3|c4)>>16]; r != 0 {
		return r
	}
	u := 0xe91aaa35 + (c0&0xff)*(c1&0xff)*(c2&0xff)*(c3&0xff)*(c4&0xff)
	u ^= u >> 16
	u += u << 8
	u ^= u >> 4
	return hash_values[(u+(u<<2))>>19^hash_adjust[(u>>8)&0x1ff]]
}

func min(a, b uint32) uint32 {
	if a < b {
		return a
	}
	return b
}

var perm7 = [21][5]int{
	{0, 1, 2, 3, 4},
	{0, 1, 2, 3, 5},
	{0, 1, 2, 3, 6},
	{0, 1, 2, 4, 5},
	{0, 1, 2, 4, 6},
	{0, 1, 2, 5, 6},
	{0, 1, 3, 4, 5},
	{0, 1, 3, 4, 6},
	{0, 1, 3, 5, 6},
	{0, 1, 4, 5, 6},
	{0, 2, 3, 4, 5},
	{0, 2, 3, 4, 6},
	{0, 2, 3, 5, 6},
	{0, 2, 4, 5, 6},
	{0, 3, 4, 5, 6},
	{1, 2, 3, 4, 5},
	{1, 2, 3, 4, 6},
	{1, 2, 3, 5, 6},
	{1, 2, 4, 5, 6},
	{1, 3, 4, 5, 6},
	{2, 3, 4, 5, 6},
}

var hash_values = [...]uint32{
	148, 2934, 166, 5107, 4628, 166, 166, 166, 166, 3033, 166, 4692, 166, 5571, 2225, 166,
	5340, 3423, 166, 3191, 1752, 166, 5212, 166, 166, 3520, 166, 166, 166, 1867, 166, 3313,
	166, 3461, 166, 166, 3174, 1737, 5010, 5008, 166, 4344, 2868, 3877, 166, 4089, 166, 5041,
	4748, 4073, 4066, 5298, 3502, 1812, 166, 5309, 166, 233, 3493, 166, 166, 3728, 5236, 4252,
	4010, 2149, 166, 164, 4580, 3039, 4804, 3874, 166, 6170, 2812, 166, 4334, 166, 166, 166,
	166, 166, 166, 1862, 224, 2131, 6081, 166, 2710, 166, 166, 166, 4765, 166, 1964, 5060,
	166, 1897, 166, 3987, 166, 166, 5566, 2021, 166, 45, 166, 166, 3283, 3932, 166, 166,
	3519, 166, 166, 291, 166, 166, 5132, 2800, 166, 166, 166, 5531, 4054, 166, 3509, 166,
	166, 4908, 3028, 1756, 1910, 4671, 2729, 5224, 166, 121, 3327, 3317, 166, 181, 2371, 5541,
	166, 1787, 2666, 5134, 5698, 166, 5480, 3870, 166, 3823, 166, 3165, 5343, 5123, 5089, 166,
	2422, 3724, 166, 2735, 1953, 5724, 4444, 4871, 166, 166, 5001, 5512, 3133, 5171, 166, 2216,
	166, 4877, 4542, 166, 166, 166, 5270, 166, 166, 166, 1922, 69, 3547, 166, 166, 166,
	166, 166, 231, 4547, 5155, 3357, 3464, 166, 72, 3332, 166, 4392, 5971, 3896, 4451, 3173,
	2569, 166, 4466, 2518, 1698, 2850, 5349, 166, 166, 4457, 5062, 166, 2202, 1650, 2191, 166,
	1950, 2583, 166, 5293, 2032, 5893, 166, 3994, 5392, 3878, 96, 166, 166, 3195, 166, 4001,
	1900, 2513, 6027, 166, 166, 166, 166, 5407, 166, 166, 2332, 5125, 5891, 3096, 3172, 166,
	166, 3065, 166, 166, 4535, 166, 166, 166, 4553, 3131, 3693, 166, 2255, 2613, 166, 166,
	166, 166, 2866, 166, 166, 166, 2940, 5333, 3199, 166, 2628, 4312, 166, 166, 1794, 4681,
	2058, 3606, 166, 166, 3542, 2166, 4696, 2520, 166, 4739, 166, 2563, 166, 166, 3681, 166,
	166, 166, 4127, 1967, 2972, 166, 5227, 166, 166, 5551, 4255, 56, 166, 5553, 3219, 4367,
	166, 3218, 4749, 2886, 3695, 3711, 2228, 166, 166, 166, 2268, 5054, 3749, 4825, 166, 4933,
	4992, 4530, 166, 4892, 3400, 166, 197, 166, 6078, 166, 166, 3971, 166, 166, 5357, 1852,
	3377, 166, 5196, 3740, 5320, 166, 166, 3099, 166, 4562, 6061, 3294, 166, 166, 166, 166,
	3266, 3627, 2567, 166, 228, 2773, 166, 166, 53, 1833, 2401, 124, 166, 4272, 3922, 5959,
	2903, 3923, 166, 6155, 166, 166, 166, 166, 216, 166, 5247, 166, 5591, 166, 166, 82,
	87, 4526, 166, 166, 5439, 166, 4935, 166, 3187, 1869, 166, 1764, 5500, 6023, 3356, 166,
	3350, 2457, 2455, 166, 1637, 166, 3342, 166, 166, 3355, 5154, 166, 276, 166, 166, 166,
	3371, 5969, 166, 1665, 166, 166, 166, 166, 166, 166, 166, 4092, 1712, 3122, 5086, 166,
	166, 4906, 166, 2591, 166, 166, 166, 1894, 2997, 166, 4476, 4384, 166, 4747, 4109, 2655,
	166, 5978, 1636, 4898, 166, 166, 166, 166, 166, 166, 166, 5207, 166, 166, 3712, 3876,
	91, 5876, 3786, 5998, 166, 166, 166, 4391, 166, 166, 2832, 2220, 4435, 166, 166, 5796,
	3156, 6112, 166, 1643, 1821, 3129, 166, 4200, 166, 5857, 166, 166, 2351, 5902, 1855, 5043,
	166, 3167, 5191, 3996, 5718, 4876, 3071, 2965, 5735, 5930, 6149, 2345, 3297, 3822, 166, 166,
	307, 6019, 1859, 2981, 4914, 3320, 6165, 2328, 140, 2372, 308, 166, 2280, 5081, 166, 3275,
	166, 159, 2399, 2327, 5489, 4690, 6059, 4492, 4269, 6058, 166, 19, 166, 3323, 5708, 128,
	4812, 2949, 166, 166, 2890, 2630, 5237, 166, 256, 3673, 4621, 5380, 166, 3353, 166, 1651,
	2573, 1635, 4011, 3429, 3370, 3720, 166, 166, 6108, 3848, 5104, 2851, 1998, 166, 166, 5106,
	20, 166, 2633, 166, 166, 166, 166, 5662, 125, 3651, 1731, 4702, 166, 3197, 166, 2947,
	3046, 4196, 2185, 6100, 166, 2602, 2908, 2487, 166, 5232, 166, 4028, 5919, 166, 2680, 3608,
	3252, 166, 4899, 166, 166, 166, 166, 2529, 166, 166, 166, 166, 166, 2534, 166, 2299,
	4076, 166, 3643, 166, 3921, 166, 166, 166, 1939, 2124, 1829, 2436, 3892, 166, 3481, 271,
	5307, 1697, 166, 166, 5098, 2906, 5545, 166, 5980, 3203, 166, 1903, 4626, 4674, 6118, 6097,
	5926, 4136, 1677, 3232, 4720, 166, 166, 166, 229, 2012, 3620, 166, 3798, 166, 166, 2609,
	3489, 3809, 166, 166, 166, 166, 166, 166, 166, 5826, 166, 166, 166, 4903, 166, 166,
	166, 166, 6168, 166, 5052, 5044, 5644, 2375, 2677, 4012, 3062, 5831, 4752, 166, 4125, 2610,
	2062, 3238, 292, 2533, 5872, 51, 166, 1947, 4225, 166, 2288, 4845, 166, 5788, 166, 5717,
	166, 166, 5549, 5619, 166, 4165, 166, 2721, 2311, 5501, 4416, 4383, 166, 166, 3068, 5499,
	5936, 166, 4204, 4766, 4688, 1870, 5220, 166, 166, 166, 166, 237, 2523, 6039, 3061, 2793,
	3998, 166, 2545, 2309, 3144, 3679, 3969, 166, 166, 166, 4379, 3574, 205, 2808, 5822, 166,
	166, 2188, 4823, 4990, 5561, 5711, 166, 5627, 6034, 5253, 3783, 5047, 4405, 166, 59, 1755,
	3178, 318, 166, 4710, 2933, 3409, 6062, 2821, 166, 6099, 166, 4178, 166, 166, 4122, 36,
	4779, 166, 166, 4323, 3073, 5410, 2101, 166, 166, 44, 5690, 166, 3265, 166, 5222, 5909,
	1838, 166, 4755, 2215, 166, 4082, 166, 166, 3210, 5140, 3124, 5238, 166, 5913, 2321, 166,
	2416, 5976, 3918, 5078, 4218, 5703, 4897, 6011, 5685, 2214, 166, 166, 6180, 5175, 1715, 166,
	166, 3760, 4497, 1808, 4826, 166, 2540, 166, 166, 5513, 4971, 5915, 166, 166, 2525, 166,
	4480, 42, 232, 2412, 2797, 3229, 5263, 2852, 5543, 2126, 3562, 166, 2872, 4695, 5985, 5136,
	2714, 4262, 5473, 166, 4160, 4347, 166, 166, 166, 166, 5271, 166, 166, 5108, 166, 166,
	166, 166, 5437, 4875, 3963, 4362, 5820, 5559, 4890, 4728, 166, 166, 2692, 166, 4870, 3591,
	5472, 166, 2690, 166, 5854, 3817, 166, 280, 166, 166, 113, 4128, 3396, 166, 4264, 5058,
	2283, 166, 2281, 4916, 5671, 166, 2708, 166, 166, 4589, 166, 166, 4689, 166, 1686, 166,
	166, 166, 166, 166, 1774, 166, 166, 166, 5651, 3777, 2234, 166, 3864, 18, 3589, 4592,
	4777, 166, 166, 5254, 4245, 166, 166, 166, 4368, 5172, 3522, 166, 4306, 153, 5230, 166,
	5598, 5420, 311, 2414, 4159, 2985, 5137, 166, 2179, 1801, 166, 4595, 2083, 2020, 166, 3602,
	2170, 4259, 3048, 166, 166, 4193, 2350, 166, 166, 2702, 166, 4521, 166, 166, 2496, 166,
	4593, 2006, 166, 166, 2292, 4135, 166, 6069, 4623, 166, 166, 4827, 3995, 4291, 3243, 166,
	166, 166, 5622, 166, 3539, 166, 166, 4915, 4373, 2479, 3775, 6008, 5838, 4321, 1612, 5530,
	166, 3773, 4267, 4086, 3081, 2261, 166, 166, 4785, 4641, 5292, 166, 4820, 5612, 5556, 166,
	166, 166, 4396, 6084, 3414, 166, 3331, 2380, 5921, 4315, 2340, 166, 5511, 166, 4713, 3754,
	2912, 2553, 166, 3468, 5388, 166, 1932, 3540, 5834, 166, 166, 3186, 5258, 166, 4107, 166,
	166, 166, 166, 166, 166, 166, 166, 2108, 12, 2368, 2789, 166, 166, 4148, 1878, 166,
	166, 2324, 4179, 2945, 2531, 166, 166, 166, 4485, 3765, 2308, 166, 2754, 166, 6102, 166,
	1921, 260, 2241, 166, 2592, 166, 166, 166, 4964, 166, 3055, 5261, 4943, 2916, 166, 201,
	5728, 166, 5759, 4314, 4730, 6024, 166, 4926, 4762, 1834, 2055, 166, 40, 166, 5416, 166,
	3722, 2360, 1928, 166, 4889, 4590, 5550, 3498, 166, 6003, 2029, 4106, 4346, 3758, 166, 2753,
	103, 1891, 5067, 166, 3398, 2079, 5784, 3074, 3787, 166, 166, 3936, 166, 5766, 166, 4847,
	3928, 5119, 166, 5181, 4602, 2605, 5712, 4523, 166, 166, 4717, 166, 2227, 2181, 166, 4678,
	166, 166, 4901, 166, 4980, 166, 166, 166, 166, 5806, 2894, 5631, 4995, 2608, 166, 166,
	166, 3917, 166, 3417, 166, 2795, 1655, 3189, 3364, 166, 4839, 3510, 4212, 5641, 6091, 138,
	166, 166, 3343, 4620, 2722, 4566, 166, 3518, 3424, 166, 166, 1653, 166, 5057, 166, 5375,
	4833, 166, 4273, 4348, 166, 166, 166, 4912, 166, 3662, 166, 4281, 166, 5169, 166, 5883,
	2737, 2572, 4685, 4068, 166, 4214, 166, 166, 2409, 166, 166, 4571, 166, 5624, 5722, 5949,
	166, 3675, 166, 166, 5109, 3428, 166, 166, 5446, 166, 3290, 166, 3309, 166, 166, 4776,
	166, 166, 166, 166, 166, 166, 5617, 2860, 166, 166, 166, 166, 3629, 1741, 166, 166,
	183, 4973, 3047, 2854, 75, 2035, 3652, 2159, 166, 4150, 6037, 3225, 4519, 1902, 2678, 2413,
	1961, 166, 166, 166, 166, 4972, 1847, 166, 5636, 4017, 166, 3345, 166, 4520, 166, 2861,
	166, 3092, 6060, 157, 2542, 2298, 4496, 166, 2607, 6110, 5707, 2314, 166, 166, 273, 166,
	5952, 166, 4957, 322, 6065, 2272, 6140, 2438, 3458, 3287, 166, 166, 166, 166, 2684, 288,
	3354, 166, 166, 3983, 1702, 166, 166, 166, 2393, 2435, 4202, 3308, 5805, 5085, 166, 166,
	1938, 166, 166, 2171, 5892, 2337, 166, 4648, 3116, 2486, 4363, 3567, 166, 166, 2822, 2041,
	166, 4703, 3956, 5192, 166, 3975, 5720, 3647, 2134, 5932, 166, 166, 5160, 263, 166, 166,
	166, 4549, 166, 166, 1701, 3086, 166, 166, 4737, 166, 2252, 166, 170, 166, 166, 166,
	2301, 5478, 166, 166, 5979, 3007, 166, 166, 166, 4104, 166, 2469, 2700, 166, 4998, 3376,
	166, 1840, 166, 166, 4470, 166, 5235, 3930, 166, 166, 166, 6031, 166, 166, 166, 3827,
	4700, 166, 166, 166, 166, 166, 166, 4103, 3976, 166, 166, 166, 166, 5027, 4322, 5130,
	166, 4741, 2132, 4118, 3080, 4137, 166, 6179, 166, 166, 166, 166, 166, 6120, 4188, 166,
	2251, 166, 3253, 166, 4887, 166, 4293, 5241, 166, 166, 166, 166, 166, 166, 5076, 166,
	166, 4177, 166, 221, 166, 2757, 5377, 166, 43, 166, 166, 3180, 5540, 166, 213, 4541,
	166, 166, 166, 166, 166, 1641, 166, 4578, 4639, 166, 166, 1683, 2139, 1689, 5249, 5773,
	5226, 166, 2820, 166, 5516, 5045, 166, 4896, 5657, 5189, 166, 5770, 2725, 5148, 166, 166,
	166, 2929, 166, 3479, 166, 166, 4564, 3752, 4305, 4232, 166, 5906, 1779, 166, 2709, 4941,
	4342, 166, 4882, 166, 4277, 2322, 166, 4879, 1610, 3038, 166, 3762, 2054, 5652, 166, 4524,
	3820, 4806, 166, 166, 104, 3416, 4869, 4243, 4854, 166, 4114, 166, 2121, 166, 3463, 3556,
	166, 4795, 166, 2118, 3920, 166, 166, 4667, 5046, 166, 166, 2088, 4360, 5787, 2198, 4233,
	5552, 3970, 3523, 2037, 5791, 166, 166, 4299, 2336, 166, 166, 166, 4173, 4588, 3626, 5187,
	166, 3363, 4611, 294, 4962, 5243, 2719, 6022, 4976, 3559, 166, 2662, 5779, 6151, 166, 3527,
	166, 5404, 6132, 1839, 166, 3090, 166, 2253, 166, 5441, 5518, 6049, 166, 166, 6136, 3026,
	3474, 5960, 166, 3937, 4105, 166, 2348, 2039, 4738, 166, 5233, 3882, 3840, 166, 278, 190,
	166, 5751, 4313, 166, 3855, 166, 166, 6171, 166, 166, 5381, 3941, 166, 166, 166, 166,
	3334, 166, 2038, 6088, 166, 1918, 5037, 2325, 2378, 4894, 3514, 3715, 5168, 166, 166, 4083,
	2873, 166, 166, 166, 2693, 166, 3543, 166, 2577, 3013, 166, 166, 4594, 2622, 166, 166,
	166, 3401, 166, 166, 5447, 5328, 5547, 6133, 2335, 3739, 166, 166, 166, 166, 5614, 3492,
	3610, 3466, 166, 5336, 4354, 166, 4662, 166, 166, 4283, 166, 166, 303, 5904, 166, 2717,
	166, 166, 2276, 5564, 2386, 5661, 2040, 166, 1630, 4652, 166, 4840, 166, 110, 5329, 3979,
	5734, 2550, 166, 166, 6007, 5999, 2978, 4771, 5360, 166, 4023, 166, 166, 5920, 4065, 166,
	3880, 166, 5422, 1813, 166, 6166, 73, 166, 166, 3669, 5762, 5077, 166, 2953, 85, 166,
	3517, 166, 116, 166, 2738, 3710, 166, 1634, 166, 166, 166, 2290, 3001, 166, 166, 3037,
	2400, 3410, 166, 1791, 4231, 166, 3546, 5009, 5299, 2807, 166, 166, 1675, 1619, 2374, 3093,
	5302, 3278, 2330, 5301, 2343, 2307, 3274, 5017, 2265, 3700, 2465, 166, 139, 4292, 166, 5056,
	3952, 166, 4528, 2388, 1886, 166, 166, 3016, 3698, 5881, 166, 2379, 3223, 166, 166, 3847,
	2407, 5493, 3183, 3307, 166, 265, 166, 2421, 6161, 2057, 5363, 3863, 2474, 166, 166, 5427,
	166, 2140, 2955, 166, 3070, 4237, 5018, 5988, 5570, 275, 4862, 2357, 166, 195, 166, 2593,
	6047, 166, 2878, 166, 166, 2781, 3004, 4180, 166, 5593, 166, 5973, 2544, 5064, 166, 4324,
	4701, 166, 3084, 166, 166, 5372, 4725, 166, 5650, 166, 166, 2786, 166, 3781, 3583, 3682,
	1850, 4420, 3296, 5173, 4461, 166, 166, 166, 2984, 166, 93, 166, 166, 4336, 5943, 2922,
	3300, 166, 4843, 166, 166, 166, 166, 2094, 166, 2939, 166, 4656, 166, 5146, 166, 166,
	166, 166, 2104, 3977, 4660, 5312, 166, 1865, 166, 5487, 5558, 3380, 166, 1957, 3162, 3281,
	166, 3588, 3268, 2099, 166, 166, 2319, 4913, 4187, 5503, 5782, 150, 166, 52, 5450, 166,
	166, 166, 2941, 5877, 166, 4031, 5393, 166, 3931, 4166, 3135, 3445, 166, 5053, 5430, 4836,
	166, 5315, 3389, 4636, 166, 166, 3441, 166, 166, 3767, 2961, 166, 4761, 4604, 3179, 166,
	166, 4751, 2148, 2015, 166, 123, 5013, 166, 2936, 166, 2063, 166, 5823, 166, 5096, 166,
	166, 4198, 166, 166, 166, 3845, 166, 166, 238, 166, 2703, 3541, 166, 4813, 166, 4477,
	2349, 4197, 5996, 3324, 4789, 3063, 166, 166, 5504, 5273, 2805, 13, 166, 5601, 5402, 4119,
	5206, 166, 166, 4251, 3704, 4176, 1963, 2882, 166, 202, 3125, 3318, 112, 166, 3362, 4835,
	3420, 3974, 5099, 166, 4433, 166, 166, 166, 1766, 2663, 166, 166, 4683, 166, 166, 5485,
	47, 5101, 5341, 5765, 3390, 1648, 4341, 3945, 6045, 1645, 166, 5578, 2594, 166, 166, 3772,
	166, 166, 3196, 3603, 166, 5399, 166, 5075, 166, 5911, 4632, 4781, 5313, 270, 166, 2346,
	166, 166, 166, 1986, 166, 166, 4958, 166, 166, 166, 4048, 166, 3076, 166, 166, 4891,
	166, 166, 57, 166, 220, 166, 166, 166, 4117, 166, 166, 166, 166, 5194, 2658, 166,
	166, 2942, 6071, 4182, 166, 2976, 5816, 166, 166, 166, 166, 3985, 4211, 2514, 166, 166,
	166, 2504, 3446, 1711, 166, 166, 2107, 5190, 166, 34, 166, 3912, 5382, 3003, 166, 166,
	166, 2999, 2404, 4734, 4455, 2087, 166, 2405, 156, 166, 2830, 3303, 296, 3295, 2067, 4268,
	166, 166, 5642, 166, 166, 1901, 166, 5133, 166, 166, 166, 166, 3176, 2973, 4677, 166,
	166, 6164, 3000, 2396, 2734, 5697, 5989, 166, 2823, 5265, 5852, 166, 166, 2623, 2625, 2287,
	4844, 1758, 166, 166, 166, 166, 166, 6073, 166, 5379, 2389, 5279, 2444, 5515, 166, 4038,
	166, 4948, 5640, 166, 166, 3572, 4258, 166, 166, 166, 5204, 166, 4603, 5797, 166, 166,
	166, 1725, 4600, 166, 166, 5498, 166, 4152, 166, 172, 4758, 166, 2598, 2489, 2076, 4366,
	2568, 166, 4352, 3782, 166, 166, 3059, 3946, 5138, 5727, 4484, 5694, 166, 3796, 166, 166,
	166, 166, 5334, 1778, 2245, 166, 4517, 4419, 2250, 182, 5856, 166, 2835, 4495, 1858, 2033,
	6014, 6086, 3211, 166, 166, 154, 2145, 166, 129, 3661, 2661, 5860, 6143, 2640, 3890, 6160,
	166, 166, 2747, 166, 166, 2291, 282, 2476, 166, 166, 3825, 166, 1925, 166, 4489, 166,
	166, 166, 4034, 166, 166, 166, 166, 166, 166, 122, 4708, 4919, 2373, 2453, 5419, 5954,
	297, 5290, 166, 1978, 166, 4932, 3501, 166, 3085, 3386, 166, 5405, 4512, 166, 3209, 5740,
	4020, 5495, 5815, 314, 166, 3190, 4824, 166, 166, 3448, 207, 1623, 6096, 5878, 166, 1836,
	166, 166, 2728, 166, 5278, 3419, 3012, 5618, 5266, 3078, 166, 166, 2244, 166, 4569, 6068,
	166, 3336, 166, 5677, 6052, 5079, 166, 5453, 5245, 5799, 166, 1982, 166, 5958, 4619, 5821,
	166, 5285, 284, 1631, 5710, 6070, 5365, 2189, 3242, 166, 2752, 5483, 5297, 6150, 5522, 166,
	1815, 166, 166, 166, 5801, 166, 166, 5398, 166, 166, 166, 2967, 2515, 3169, 166, 166,
	2562, 166, 1617, 2069, 166, 166, 6154, 166, 3721, 166, 5327, 166, 166, 166, 5592, 166,
	166, 2286, 1716, 3903, 166, 2395, 286, 3587, 6146, 3286, 4186, 5882, 5894, 5737, 6032, 5879,
	2761, 4829, 3788, 166, 166, 3233, 5356, 5693, 166, 2429, 2449, 141, 3444, 5186, 166, 166,
	3477, 4080, 4584, 166, 166, 3670, 1851, 3824, 4337, 3886, 2792, 166, 5867, 166, 166, 3557,
	3147, 166, 166, 2200, 166, 2505, 166, 4310, 4865, 5656, 5992, 5672, 166, 5199, 135, 3023,
	2994, 4472, 166, 166, 166, 2019, 4319, 3472, 166, 166, 166, 29, 206, 3944, 3027, 5804,
	4731, 5449, 166, 2825, 3310, 166, 6172, 5202, 166, 2516, 3644, 4557, 166, 166, 166, 166,
	2671, 4427, 3432, 3276, 5584, 5536, 4645, 3202, 166, 2612, 166, 4249, 2425, 3259, 4622, 166,
	2411, 4303, 4206, 166, 166, 166, 3734, 6063, 118, 166, 166, 3641, 166, 166, 166, 4937,
	1871, 3421, 2208, 166, 166, 166, 166, 4881, 166, 166, 166, 166, 3298, 166, 61, 166,
	166, 166, 3293, 6145, 71, 3619, 166, 166, 3383, 1624, 320, 2187, 4113, 166, 166, 166,
	166, 166, 5080, 2344, 5625, 2358, 1621, 4230, 5579, 5359, 295, 4248, 5267, 3883, 6124, 187,
	5112, 2122, 166, 166, 166, 5142, 6004, 166, 5322, 6175, 3639, 3182, 4425, 166, 175, 166,
	166, 166, 5778, 3939, 3484, 166, 166, 5832, 5248, 5935, 4467, 5858, 166, 5038, 166, 166,
	3102, 166, 4880, 166, 166, 166, 166, 3418, 1666, 5338, 3680, 5291, 4441, 3385, 166, 5733,
	4503, 2774, 166, 2631, 4153, 166, 2000, 166, 166, 5345, 166, 166, 4298, 1804, 4707, 166,
	1613, 1952, 2111, 166, 166, 166, 166, 166, 2897, 166, 166, 4044, 166, 166, 166, 166,
	2863, 5475, 166, 166, 166, 1704, 166, 3609, 2782, 2018, 166, 5361, 166, 3694, 3733, 166,
	2785, 1969, 166, 166, 2834, 1868, 3779, 1877, 60, 166, 4143, 3902, 166, 4361, 3188, 2498,
	6009, 166, 115, 166, 3138, 166, 4575, 6080, 133, 2030, 166, 166, 166, 2306, 2136, 3043,
	3447, 2142, 166, 3799, 1646, 5269, 3640, 166, 2674, 5502, 166, 5467, 166, 5069, 166, 166,
	4654, 4581, 5274, 5036, 4364, 166, 3115, 166, 2128, 4544, 5433, 2086, 2584, 4413, 166, 166,
	5385, 166, 234, 166, 1625, 166, 166, 166, 5139, 2511, 4974, 2766, 166, 166, 166, 2095,
	3990, 217, 166, 2988, 4061, 166, 209, 4883, 166, 166, 166, 166, 166, 4326, 166, 5465,
	2859, 166, 2887, 166, 2231, 166, 1658, 166, 2246, 166, 1844, 166, 166, 3087, 2871, 3872,
	1660, 48, 166, 166, 3622, 166, 1709, 166, 166, 6177, 6173, 166, 3569, 166, 166, 166,
	241, 3660, 3631, 166, 166, 5319, 5141, 174, 166, 166, 4412, 166, 5145, 166, 1919, 166,
	5276, 166, 2385, 166, 1618, 166, 166, 2501, 166, 166, 1734, 5966, 3145, 166, 1690, 4025,
	1664, 4559, 2433, 2392, 3552, 4006, 1896, 166, 166, 2546, 4450, 5396, 4221, 4046, 166, 166,
	2642, 166, 4448, 166, 2784, 3480, 4807, 166, 166, 3534, 166, 166, 5272, 166, 166, 2831,
	4263, 166, 166, 166, 166, 4414, 5628, 3486, 166, 3748, 166, 4598, 3719, 3598, 3611, 166,
	4792, 5059, 4110, 166, 2656, 166, 166, 84, 5429, 166, 166, 166, 281, 1955, 166, 166,
	166, 3616, 4997, 166, 166, 166, 166, 3230, 166, 166, 166, 166, 166, 166, 77, 166,
	166, 166, 1800, 166, 4236, 166, 166, 166, 166, 166, 5757, 2530, 1662, 166, 4607, 1659,
	166, 1685, 3341, 166, 1699, 4058, 3407, 1854, 4417, 3034, 166, 166, 166, 166, 5568, 166,
	3206, 166, 5529, 166, 166, 166, 2116, 3487, 144, 166, 166, 166, 5523, 5373, 5321, 166,
	6064, 2921, 166, 1696, 2473, 166, 166, 3716, 5689, 166, 4608, 3879, 166, 166, 166, 2156,
	166, 4358, 2446, 166, 3958, 166, 5520, 4340, 4848, 166, 3285, 166, 2665, 166, 3459, 1905,
	5115, 68, 5730, 166, 3127, 5029, 4370, 166, 3753, 166, 3674, 6025, 4490, 166, 4183, 166,
	94, 166, 166, 4051, 3766, 3140, 4907, 3857, 166, 166, 4596, 166, 3888, 3040, 2507, 5643,
	166, 166, 4311, 2618, 5582, 166, 166, 3678, 166, 1988, 166, 166, 4464, 166, 166, 166,
	166, 4278, 3677, 2173, 5256, 166, 166, 5162, 166, 5178, 1644, 5094, 166, 2557, 5506, 166,
	166, 166, 4927, 5348, 1797, 166, 166, 39, 166, 3866, 3655, 236, 5403, 2175, 3361, 166,
	1976, 5993, 226, 166, 4643, 166, 5339, 4098, 2653, 4969, 166, 3346, 4984, 4635, 166, 166,
	166, 166, 4981, 188, 166, 166, 28, 4088, 166, 166, 166, 25, 3663, 2696, 166, 4679,
	5114, 5802, 166, 166, 166, 166, 166, 3810, 5749, 166, 1673, 4276, 166, 3756, 4184, 166,
	5630, 166, 166, 166, 4531, 212, 5663, 166, 166, 2746, 166, 5386, 3618, 3594, 1887, 166,
	166, 5443, 166, 1726, 4094, 5065, 4756, 166, 166, 5308, 5225, 2081, 166, 166, 3064, 166,
	166, 1981, 3637, 4355, 1626, 166, 166, 4686, 166, 5793, 180, 5066, 2938, 3819, 4904, 3601,
	166, 166, 2495, 5025, 5768, 2621, 4650, 3041, 166, 5897, 3633, 166, 166, 4375, 166, 5714,
	1667, 3273, 3950, 1668, 166, 5855, 166, 2364, 166, 1881, 166, 2646, 5460, 166, 2770, 4951,
	5414, 166, 4442, 2113, 5726, 298, 5934, 2053, 166, 166, 4053, 166, 166, 4514, 4697, 166,
	166, 5198, 2707, 166, 5605, 166, 166, 5218, 2596, 166, 2110, 166, 1806, 2160, 166, 166,
	2212, 166, 3636, 166, 166, 4377, 4021, 3707, 4502, 166, 4195, 166, 166, 166, 4108, 3725,
	3676, 166, 2084, 166, 166, 166, 166, 4216, 166, 166, 6156, 166, 2896, 166, 166, 166,
	166, 166, 166, 3826, 2870, 3793, 166, 166, 5927, 166, 2759, 166, 4613, 2297, 5638, 166,
	2842, 5031, 4793, 5184, 166, 166, 2008, 166, 257, 2881, 117, 6051, 3044, 4079, 2833, 166,
	6117, 166, 3236, 5469, 166, 166, 2874, 6076, 166, 1799, 80, 41, 166, 1864, 166, 5709,
	1611, 5026, 5176, 168, 3269, 4081, 166, 166, 1970, 4550, 166, 4250, 4101, 4565, 5950, 5845,
	97, 4064, 166, 5394, 4374, 4343, 166, 166, 4658, 3248, 166, 208, 1735, 4047, 2843, 166,
	166, 166, 166, 2794, 166, 166, 5844, 166, 166, 3094, 2177, 5436, 3646, 166, 3564, 4682,
	166, 5948, 5835, 162, 2059, 5151, 2034, 1926, 5941, 5903, 5177, 166, 166, 166, 4801, 3439,
	1780, 166, 166, 3280, 3434, 166, 166, 4498, 5565, 4043, 166, 4432, 4722, 3959, 166, 3746,
	166, 166, 177, 166, 166, 2748, 166, 4483, 166, 166, 4144, 166, 166, 166, 166, 2066,
	2915, 166, 2049, 2130, 4684, 166, 49, 3506, 5391, 166, 2590, 6103, 1714, 2410, 3053, 3837,
	4301, 166, 3255, 2644, 166, 166, 4014, 166, 2475, 4788, 2876, 166, 166, 166, 166, 166,
	166, 4140, 166, 166, 321, 166, 1966, 166, 166, 2855, 3111, 3800, 166, 4446, 2551, 166,
	166, 166, 2824, 166, 166, 166, 2164, 3010, 2226, 166, 4857, 166, 2582, 5118, 4582, 5917,
	166, 166, 3338, 3482, 3328, 166, 4817, 166, 5371, 3830, 166, 3009, 1633, 3329, 4052, 166,
	3701, 4983, 4500, 4487, 4878, 166, 166, 5482, 3544, 166, 3057, 2026, 4398, 2847, 3532, 3262,
	3399, 166, 166, 166, 4478, 4167, 166, 3411, 2599, 5362, 166, 2711, 166, 166, 166, 166,
	3452, 2522, 5586, 5548, 3279, 2538, 166, 166, 166, 4161, 166, 2123, 166, 166, 2660, 166,
	166, 1706, 166, 15, 3537, 5051, 5869, 166, 3025, 166, 4447, 3744, 120, 166, 166, 166,
	204, 2810, 166, 5124, 2376, 5306, 166, 166, 4493, 166, 166, 166, 5289, 6046, 166, 2762,
	2541, 1857, 2467, 5163, 166, 166, 166, 166, 5830, 166, 2172, 3359, 166, 2928, 166, 166,
	166, 6129, 166, 5445, 166, 166, 5924, 6144, 166, 102, 166, 166, 1678, 166, 4491, 5705,
	166, 1753, 166, 3873, 5725, 4145, 1909, 166, 2155, 166, 166, 1848, 3315, 1874, 166, 4945,
	2524, 166, 3263, 2362, 1785, 166, 166, 166, 152, 2102, 5723, 5131, 5754, 4032, 4029, 166,
	4295, 3391, 166, 166, 166, 5282, 1747, 3159, 2235, 5583, 1786, 3630, 6111, 2974, 4797, 3623,
	166, 2071, 4929, 166, 2603, 3964, 3378, 166, 166, 2654, 151, 3940, 4527, 4518, 166, 2430,
	1884, 3812, 166, 2867, 166, 166, 166, 2756, 5418, 166, 2354, 4606, 166, 2153, 166, 4855,
	166, 166, 1720, 166, 3213, 3926, 166, 5158, 4349, 166, 4828, 166, 166, 2031, 166, 2300,
	166, 166, 166, 2211, 4954, 3121, 4754, 2485, 166, 166, 166, 3593, 166, 2718, 5317, 2765,
	5120, 166, 2527, 166, 1994, 5947, 166, 166, 166, 6085, 2302, 100, 79, 2982, 3705, 2180,
	2043, 166, 1872, 1671, 166, 3729, 166, 4944, 3665, 2217, 2119, 166, 5615, 166, 1620, 166,
	166, 166, 166, 35, 3913, 2760, 166, 3688, 3672, 4042, 166, 166, 5117, 4227, 166, 4445,
	2458, 3803, 4554, 4988, 166, 166, 3141, 3491, 166, 166, 166, 166, 5095, 4668, 5567, 166,
	166, 2885, 1790, 2996, 166, 166, 166, 166, 3737, 166, 2470, 166, 166, 4339, 166, 166,
	166, 4920, 166, 166, 3697, 5471, 166, 166, 3538, 4558, 3467, 5262, 5609, 3858, 166, 166,
	5007, 2780, 2791, 2236, 5668, 3134, 166, 166, 5776, 3470, 3291, 166, 2532, 166, 166, 166,
	3805, 264, 166, 3227, 166, 166, 166, 2334, 166, 5087, 101, 166, 3634, 58, 2813, 166,
	166, 166, 3222, 4704, 4488, 4508, 5459, 2117, 5873, 166, 1828, 166, 166, 166, 166, 166,
	2105, 166, 5613, 5761, 2920, 3098, 166, 166, 3277, 166, 166, 166, 166, 83, 166, 166,
	166, 3967, 166, 5574, 166, 4985, 30, 3426, 166, 179, 3014, 4015, 246, 2556, 4449, 3723,
	5611, 3436, 166, 4240, 3642, 166, 4536, 2048, 5810, 166, 1971, 166, 5557, 5323, 5022, 191,
	5492, 166, 4837, 4426, 2537, 2271, 3177, 5674, 166, 2796, 1995, 166, 3906, 166, 4403, 3862,
	4716, 2406, 3948, 4670, 4309, 166, 2575, 5358, 2951, 166, 3666, 3612, 5577, 4579, 4743, 166,
	6072, 6036, 4563, 2586, 166, 5836, 166, 166, 5752, 166, 3563, 166, 2909, 3251, 92, 166,
	4711, 4149, 166, 166, 3052, 5122, 2904, 2635, 1990, 166, 166, 166, 166, 166, 166, 166,
	166, 4213, 166, 3103, 3142, 2683, 6105, 2209, 3175, 4215, 166, 166, 166, 166, 166, 166,
	166, 5303, 4075, 5374, 166, 4174, 4154, 1895, 4538, 2764, 166, 5817, 6113, 4033, 166, 6090,
	166, 2990, 166, 3164, 166, 166, 166, 247, 166, 6083, 3412, 166, 5738, 166, 3599, 166,
	1904, 2162, 2547, 3960, 166, 166, 3154, 55, 166, 5991, 4921, 2879, 166, 166, 5347, 166,
	166, 166, 2712, 4787, 166, 1908, 166, 166, 166, 3184, 166, 166, 166, 4572, 3846, 3657,
	166, 166, 5481, 166, 166, 3397, 1856, 4978, 166, 3900, 3570, 3802, 166, 166, 2075, 4408,
	166, 6079, 2313, 166, 166, 5756, 166, 166, 2070, 166, 166, 3137, 166, 166, 3686, 166,
	166, 166, 166, 67, 5019, 166, 1742, 166, 5354, 166, 5149, 166, 2931, 4946, 6006, 166,
	166, 2865, 4902, 3029, 1722, 3449, 166, 1987, 166, 62, 5626, 166, 166, 166, 2670, 1657,
	5599, 3056, 166, 3791, 5020, 166, 1979, 4437, 1899, 166, 166, 196, 2636, 166, 143, 3475,
	4317, 2512, 2415, 5033, 5024, 2112, 2864, 3551, 166, 1688, 33, 4585, 3648, 4399, 166, 166,
	166, 166, 166, 1824, 166, 166, 166, 166, 166, 166, 4513, 166, 2478, 4407, 166, 166,
	2492, 4130, 4318, 2980, 5746, 166, 2606, 4063, 4123, 166, 255, 166, 166, 4680, 166, 3586,
	5975, 3935, 166, 5528, 166, 3158, 166, 166, 2614, 5035, 166, 3488, 3214, 166, 166, 166,
	5413, 3713, 166, 5875, 4329, 5250, 166, 166, 3741, 166, 54, 1885, 3839, 166, 4924, 166,
	166, 166, 4158, 166, 166, 2152, 1661, 166, 166, 4327, 166, 3933, 166, 5666, 166, 166,
	2580, 166, 3404, 4111, 2862, 4438, 166, 166, 4072, 166, 166, 3938, 2958, 4302, 166, 3851,
	166, 268, 166, 166, 1975, 222, 3204, 3438, 4616, 166, 4275, 3101, 2648, 3989, 5215, 166,
	4229, 166, 5440, 166, 5093, 2639, 166, 166, 4439, 166, 2316, 4239, 166, 166, 166, 166,
	166, 1817, 4486, 166, 3272, 166, 166, 4085, 2078, 2902, 166, 166, 166, 4381, 1853, 3054,
	166, 166, 5005, 2669, 166, 2856, 2706, 166, 166, 166, 4185, 166, 1748, 166, 166, 166,
	5771, 166, 166, 3915, 166, 166, 2205, 6122, 166, 166, 1632, 5400, 166, 2477, 4740, 166,
	166, 166, 1802, 166, 2472, 3953, 166, 1849, 2604, 3780, 2560, 4786, 2566, 3576, 166, 4768,
	166, 1951, 251, 5068, 166, 166, 166, 2619, 166, 166, 166, 5432, 166, 166, 5260, 5758,
	3908, 166, 4141, 166, 5777, 166, 166, 166, 166, 166, 3961, 5143, 166, 3889, 3747, 3743,
	166, 2818, 166, 166, 166, 3867, 166, 166, 3742, 4763, 2948, 5533, 166, 3966, 3555, 3843,
	3503, 6005, 166, 4687, 2790, 4479, 5828, 3769, 5688, 166, 166, 166, 166, 3109, 166, 166,
	166, 166, 4574, 81, 166, 166, 4576, 3369, 166, 166, 166, 4207, 166, 5072, 2210, 166,
	184, 166, 4673, 166, 166, 166, 166, 166, 166, 1628, 3590, 1916, 4784, 4970, 166, 1832,
	166, 166, 3584, 3384, 166, 166, 2880, 1783, 166, 166, 166, 166, 6115, 6121, 2157, 5428,
	5859, 4861, 5635, 4331, 5839, 4223, 313, 166, 166, 6152, 2168, 166, 4112, 6089, 6012, 166,
	5294, 3207, 166, 166, 4884, 166, 4655, 166, 166, 166, 1743, 166, 4077, 166, 4631, 166,
	166, 2957, 1945, 4936, 166, 166, 5389, 166, 166, 5955, 166, 166, 1639, 2207, 4129, 166,
	3582, 5560, 6147, 3088, 166, 166, 4529, 5259, 3118, 166, 3106, 2853, 166, 1845, 5660, 166,
	3325, 3973, 2461, 2163, 166, 3083, 4190, 166, 166, 5505, 166, 166, 3226, 5507, 109, 6141,
	3991, 166, 4939, 166, 166, 5889, 3986, 166, 3664, 4353, 2056, 166, 5071, 166, 166, 4376,
	166, 1958, 2028, 166, 166, 1793, 166, 5252, 3536, 166, 166, 3525, 3580, 166, 166, 166,
	1782, 5174, 2011, 1826, 3352, 3231, 166, 166, 4986, 2068, 2801, 166, 2500, 166, 5061, 166,
	2263, 2632, 1993, 166, 2715, 4424, 166, 166, 6042, 4661, 166, 5074, 5479, 4822, 166, 166,
	166, 166, 5600, 5853, 166, 1907, 166, 166, 166, 3808, 166, 5997, 5032, 4605, 166, 1732,
	166, 166, 166, 3015, 5454, 166, 166, 166, 3806, 5444, 2238, 1946, 166, 166, 3221, 4922,
	166, 6092, 166, 166, 4007, 166, 3425, 4282, 2571, 166, 1749, 166, 166, 38, 4744, 4900,
	4257, 214, 5687, 166, 2490, 2979, 2924, 166, 4714, 219, 5344, 3836, 3302, 78, 1984, 2986,
	2960, 166, 2869, 3507, 3335, 4967, 2892, 2723, 4849, 5070, 166, 166, 4629, 3815, 166, 4453,
	4760, 166, 3224, 130, 166, 166, 166, 166, 166, 3408, 2494, 2691, 166, 4325, 2932, 5165,
	5573, 166, 4769, 166, 5411, 5637, 2050, 166, 166, 2305, 166, 166, 4834, 24, 4693, 3554,
	2491, 1738, 166, 166, 166, 23, 2758, 3072, 2564, 4800, 5537, 3545, 4133, 166, 166, 166,
	5982, 166, 203, 166, 166, 290, 185, 166, 3774, 1929, 3379, 166, 166, 166, 166, 3002,
	166, 3738, 166, 166, 3344, 4942, 5353, 2777, 2839, 4712, 1830, 2664, 166, 5884, 3516, 166,
	5494, 4169, 2391, 3319, 166, 166, 5918, 2597, 166, 4821, 2787, 5719, 166, 166, 166, 1687,
	6148, 3257, 254, 166, 5180, 6153, 5964, 306, 166, 6123, 166, 5208, 166, 3163, 5938, 1736,
	166, 2502, 4910, 166, 166, 2549, 166, 2900, 3632, 3270, 166, 2082, 5953, 166, 107, 5750,
	166, 166, 166, 5527, 1751, 4168, 2950, 166, 2659, 166, 4189, 1943, 2595, 166, 4191, 166,
	166, 166, 166, 2998, 2296, 5221, 3617, 166, 5435, 2451, 2009, 3005, 2242, 3768, 3658, 166,
	166, 166, 166, 166, 2481, 2256, 166, 166, 4074, 166, 3120, 166, 4409, 1759, 166, 166,
	1679, 3659, 3499, 5219, 4501, 3082, 2047, 166, 166, 166, 4560, 2768, 5251, 166, 166, 166,
	2437, 3993, 3215, 2447, 166, 166, 166, 2993, 4963, 166, 3045, 166, 166, 166, 166, 166,
	166, 166, 5521, 166, 166, 4868, 166, 3895, 166, 6131, 3949, 3306, 3785, 166, 166, 4895,
	4831, 166, 1772, 166, 166, 5928, 166, 2137, 4805, 2462, 310, 2667, 3561, 166, 166, 2312,
	4931, 5255, 166, 166, 166, 5670, 166, 2285, 166, 4672, 5310, 166, 2103, 2174, 166, 166,
	166, 166, 5417, 166, 4726, 4203, 166, 166, 166, 5581, 166, 5665, 166, 166, 5747, 166,
	166, 2509, 1973, 2749, 5463, 166, 166, 4567, 5014, 166, 3322, 3051, 166, 4090, 166, 3709,
	3887, 3478, 166, 166, 166, 166, 3565, 3934, 166, 32, 166, 166, 166, 2239, 166, 3947,
	3849, 166, 2022, 166, 2169, 166, 4691, 98, 166, 3804, 4155, 1640, 4002, 166, 2138, 1739,
	3730, 5970, 2274, 4873, 3119, 166, 4925, 3577, 3699, 4049, 3982, 166, 5161, 1744, 166, 166,
	166, 5704, 4979, 2686, 5383, 5744, 2289, 166, 166, 166, 3927, 2539, 166, 166, 166, 2585,
	166, 4723, 3755, 4509, 166, 4961, 2194, 2535, 166, 176, 166, 4494, 166, 4171, 166, 266,
	166, 3454, 5369, 166, 166, 5899, 5284, 166, 3607, 3566, 5514, 166, 1843, 166, 3997, 4599,
	2743, 166, 2857, 2497, 2751, 166, 166, 166, 3511, 5742, 166, 166, 166, 4504, 166, 166,
	166, 5082, 4401, 166, 166, 5431, 166, 166, 1949, 4539, 166, 166, 4852, 166, 166, 3457,
	166, 3433, 4669, 166, 1692, 2454, 3258, 6159, 166, 166, 166, 166, 166, 2788, 4350, 3249,
	3816, 4893, 166, 4846, 166, 4993, 1708, 4138, 166, 2895, 2891, 166, 1860, 166, 2480, 1927,
	3853, 166, 166, 166, 5100, 166, 3143, 5159, 166, 4286, 5182, 5246, 4975, 166, 2905, 166,
	4917, 5102, 2044, 6016, 5673, 2005, 5090, 166, 4634, 3333, 166, 5702, 3413, 1762, 6094, 4284,
	4431, 2641, 166, 4463, 5691, 166, 166, 3442, 3473, 4192, 2046, 166, 3838, 166, 3217, 3349,
	166, 2243, 166, 3490, 166, 166, 166, 5922, 166, 166, 166, 4885, 1798, 2884, 2750, 5004,
	2741, 166, 166, 5649, 166, 4410, 166, 166, 3382, 166, 166, 1913, 1703, 5532, 3770, 166,
	5116, 2645, 2634, 4357, 5901, 166, 166, 5538, 166, 166, 166, 6028, 166, 166, 5840, 4102,
	2704, 2091, 5287, 166, 4757, 2282, 166, 2650, 3528, 64, 253, 3732, 166, 166, 166, 166,
	166, 3465, 166, 166, 166, 5848, 3110, 111, 166, 166, 3403, 2926, 6030, 3366, 1948, 4430,
	5509, 3250, 3972, 2587, 3579, 166, 6048, 250, 5275, 4242, 2615, 3112, 3558, 166, 166, 2342,
	166, 5157, 1917, 2733, 5647, 1934, 5675, 166, 3981, 2923, 5213, 5326, 37, 166, 5288, 3069,
	166, 1923, 5755, 166, 166, 166, 1888, 166, 6041, 5895, 5376, 3727, 3901, 166, 5589, 166,
	166, 4609, 166, 166, 166, 4706, 166, 4482, 1622, 166, 171, 166, 166, 4646, 4151, 2755,
	4614, 166, 2072, 5409, 4469, 1647, 4434, 4633, 1915, 166, 3615, 4808, 166, 3388, 166, 5280,
	2731, 166, 166, 2417, 166, 14, 166, 4533, 5126, 166, 2778, 3022, 166, 166, 166, 4830,
	4764, 166, 166, 166, 4982, 166, 4265, 166, 2466, 5678, 147, 1883, 166, 166, 166, 114,
	4000, 2427, 3597, 166, 4853, 5981, 166, 2023, 2519, 166, 1937, 2221, 4676, 166, 4522, 5716,
	166, 2432, 5731, 166, 6020, 6163, 4351, 2442, 4380, 166, 4390, 1882, 6139, 4246, 262, 166,
	1676, 5781, 2352, 1956, 200, 166, 166, 5800, 6184, 166, 2355, 149, 5962, 5524, 4238, 166,
	5150, 166, 5888, 2423, 166, 5739, 3192, 4142, 166, 166, 166, 3201, 161, 4460, 2459, 158,
	166, 166, 166, 166, 2689, 166, 166, 166, 166, 1889, 166, 166, 3374, 166, 70, 166,
	2772, 166, 2995, 166, 2384, 4989, 166, 3299, 166, 166, 166, 166, 3614, 3645, 3415, 3160,
	1727, 3735, 5201, 1693, 3531, 166, 166, 1776, 3871, 166, 166, 166, 166, 86, 3553, 166,
	166, 166, 3392, 166, 166, 2232, 166, 4977, 2333, 3394, 2875, 2027, 5736, 166, 1719, 166,
	4952, 2061, 2150, 5526, 166, 4637, 166, 4333, 166, 166, 4733, 4809, 3911, 166, 3460, 166,
	5355, 3126, 4181, 4436, 300, 166, 3841, 166, 4770, 126, 5654, 166, 166, 166, 1730, 166,
	166, 166, 5610, 166, 6002, 2197, 3807, 6109, 166, 166, 166, 166, 166, 5395, 4004, 166,
	46, 166, 166, 2570, 4736, 5318, 4247, 166, 166, 166, 2293, 3031, 4591, 166, 245, 166,
	5510, 1616, 3117, 4163, 166, 166, 4759, 3462, 4819, 4947, 166, 3128, 5946, 2278, 2969, 166,
	166, 5183, 166, 166, 1729, 173, 2448, 166, 230, 2971, 166, 166, 5397, 166, 4093, 3348,
	1866, 4280, 166, 6067, 3794, 166, 166, 166, 4729, 166, 3456, 166, 2394, 166, 4953, 166,
	166, 2258, 4863, 166, 166, 4060, 166, 5468, 305, 166, 6134, 166, 166, 2326, 166, 3453,
	2167, 2845, 166, 166, 166, 5597, 166, 166, 166, 166, 5462, 2809, 5994, 2899, 166, 166,
	166, 5153, 166, 166, 1638, 166, 166, 4938, 3795, 166, 3842, 166, 166, 166, 2769, 3194,
	166, 4745, 5508, 5604, 3910, 166, 166, 4147, 3239, 166, 166, 3548, 3859, 2092, 166, 2705,
	166, 166, 3625, 4131, 166, 3513, 166, 166, 2987, 4555, 3107, 166, 166, 166, 166, 5713,
	4698, 3079, 166, 5342, 166, 166, 2673, 2517, 2745, 1795, 166, 166, 166, 166, 166, 166,
	2463, 166, 166, 2445, 5425, 6138, 166, 2687, 3254, 5871, 166, 2387, 4300, 166, 166, 3529,
	1996, 166, 2369, 3818, 6126, 1615, 2643, 65, 4297, 166, 5324, 3311, 3852, 166, 3868, 4199,
	3978, 166, 166, 166, 5466, 166, 166, 244, 166, 5929, 6157, 2390, 5639, 2267, 2073, 4610,
	5774, 2521, 4556, 166, 4545, 4307, 2426, 2450, 166, 5783, 4968, 6176, 4156, 166, 166, 4126,
	3549, 166, 3581, 5701, 3234, 166, 4013, 1879, 166, 6104, 5874, 166, 166, 3485, 4279, 2528,
	5576, 166, 3992, 166, 3980, 4934, 166, 2176, 4228, 5164, 3784, 1933, 4120, 5055, 166, 166,
	5015, 166, 166, 166, 2310, 1754, 166, 6087, 166, 166, 4548, 5268, 2930, 166, 3656, 166,
	3042, 5229, 166, 4016, 2195, 166, 166, 166, 199, 1745, 3717, 166, 166, 74, 2668, 252,
	4124, 4657, 5223, 166, 2186, 3628, 166, 166, 166, 4222, 3114, 2841, 5103, 3171, 5135, 166,
	166, 2273, 166, 3899, 5332, 5842, 3575, 2579, 2431, 2464, 2229, 3604, 4561, 2977, 2815, 166,
	3916, 166, 5825, 166, 1694, 166, 4030, 166, 5841, 166, 3881, 1831, 166, 5525, 3011, 166,
	5535, 5217, 316, 4116, 166, 166, 2204, 166, 3136, 3650, 166, 5813, 1875, 4511, 4475, 166,
	1999, 166, 2277, 166, 3024, 5484, 5546, 166, 3988, 5676, 166, 2213, 2264, 5214, 166, 4940,
	5974, 166, 4750, 6077, 166, 1652, 3148, 166, 166, 166, 166, 2554, 166, 6167, 5257, 5300,
	166, 166, 166, 166, 5408, 166, 166, 3402, 2141, 166, 4663, 5633, 3312, 166, 2814, 4930,
	1959, 166, 166, 166, 3861, 166, 166, 302, 2624, 166, 166, 166, 1629, 1724, 166, 3909,
	5281, 166, 2001, 4395, 5352, 4428, 2694, 4850, 166, 166, 5242, 5910, 166, 166, 166, 166,
	166, 3212, 166, 2045, 166, 166, 166, 166, 166, 166, 3017, 4960, 4456, 166, 5616, 6093,
	2151, 166, 166, 166, 315, 3381, 166, 166, 166, 4330, 166, 6158, 4721, 6075, 166, 166,
	166, 4543, 2303, 166, 166, 3301, 166, 5000, 3929, 2543, 3437, 166, 166, 166, 3422, 166,
	5987, 5729, 2428, 166, 4035, 5588, 3714, 3834, 5264, 5743, 166, 3305, 4886, 6107, 5156, 166,
	166, 166, 166, 166, 1672, 5849, 5827, 5049, 6101, 2178, 2420, 3289, 166, 166, 4274, 6017,
	2257, 166, 4172, 3451, 2367, 2382, 166, 2964, 4918, 3241, 2347, 6082, 99, 2383, 166, 4454,
	163, 2460, 165, 304, 1818, 5580, 166, 312, 5790, 293, 5794, 5519, 5083, 3360, 5748, 166,
	3750, 5034, 166, 166, 166, 1863, 3168, 166, 166, 166, 5111, 166, 166, 166, 166, 2183,
	4510, 166, 166, 3495, 4382, 4235, 4462, 166, 4056, 5885, 17, 5028, 1614, 6038, 166, 2488,
	5632, 3089, 166, 1940, 66, 4039, 3999, 235, 166, 166, 3829, 3954, 166, 2365, 269, 166,
	166, 166, 166, 166, 166, 4418, 1796, 4709, 2004, 166, 3596, 5786, 166, 2819, 4624, 3152,
	2968, 2838, 166, 5575, 1767, 5603, 166, 4386, 5890, 166, 1768, 4201, 3560, 166, 166, 166,
	2184, 2262, 2966, 2716, 1765, 2611, 2983, 166, 4164, 4084, 142, 5314, 166, 166, 4071, 166,
	2578, 2849, 3600, 166, 166, 166, 166, 5401, 4814, 3431, 166, 5088, 5084, 198, 166, 3578,
	3764, 166, 2097, 166, 166, 5390, 4443, 166, 3166, 166, 4816, 166, 166, 166, 166, 3130,
	5963, 1788, 2129, 1837, 4100, 6128, 166, 4586, 5945, 4772, 166, 5741, 3151, 3247, 5645, 4507,
	5833, 3904, 6013, 2506, 3050, 4175, 1705, 3019, 166, 5942, 166, 2418, 3430, 2230, 5745, 166,
	2093, 166, 166, 166, 166, 4666, 3246, 192, 2010, 4003, 3533, 5851, 166, 3621, 3684, 3066,
	166, 166, 166, 5073, 3856, 166, 166, 2224, 166, 2637, 4270, 166, 166, 5679, 166, 5792,
	5850, 166, 2589, 3060, 2196, 3476, 3150, 2025, 166, 166, 166, 2657, 166, 3685, 3790, 5587,
	2817, 3692, 166, 166, 166, 2359, 2260, 5896, 2158, 119, 2816, 5753, 166, 2739, 5772, 166,
	2919, 2147, 1985, 4271, 4838, 4991, 166, 166, 166, 5244, 166, 319, 166, 166, 2779, 4732,
	4994, 5424, 166, 166, 3968, 3049, 3393, 4473, 4959, 5967, 5864, 5170, 4209, 166, 4810, 4815,
	4205, 2339, 5023, 2279, 5050, 166, 5837, 132, 166, 166, 166, 2247, 21, 4775, 166, 166,
	5286, 166, 4170, 4099, 4803, 5767, 166, 166, 166, 5811, 2240, 5699, 2499, 166, 4802, 166,
	5785, 166, 166, 166, 3181, 3435, 166, 3339, 166, 5669, 3865, 2249, 5002, 166, 4694, 5461,
	4753, 166, 3157, 166, 1960, 166, 166, 166, 2440, 166, 5818, 5534, 2439, 1717, 166, 3789,
	2959, 166, 2943, 166, 2576, 166, 2002, 2007, 1819, 3256, 4402, 5311, 3832, 160, 166, 166,
	2803, 166, 3264, 166, 5863, 166, 2017, 166, 2798, 166, 166, 166, 166, 5607, 4965, 166,
	166, 166, 4537, 4378, 5944, 3494, 5457, 5602, 1942, 5900, 5780, 4411, 5147, 166, 4966, 2115,
	155, 2827, 1980, 5063, 166, 285, 5912, 3304, 2963, 5179, 3220, 166, 166, 166, 2190, 3708,
	5476, 1944, 2366, 3893, 166, 166, 166, 3759, 166, 5434, 2740, 1707, 4244, 5426, 166, 166,
	166, 3155, 166, 4285, 166, 166, 166, 166, 5721, 166, 3833, 6001, 301, 166, 166, 2574,
	186, 2724, 166, 1873, 3667, 166, 5216, 166, 2935, 2100, 4987, 166, 2284, 166, 166, 2911,
	3828, 4009, 166, 2065, 166, 5496, 6130, 5563, 4387, 166, 3771, 3469, 2989, 2222, 4577, 3965,
	4296, 2975, 3813, 3240, 166, 4780, 4481, 3387, 2338, 166, 6183, 166, 166, 166, 166, 166,
	2675, 1761, 2600, 5167, 3170, 4773, 2165, 5166, 166, 2223, 4642, 166, 166, 4540, 166, 166,
	166, 3897, 166, 2483, 1809, 5477, 3844, 4067, 2508, 2275, 166, 166, 166, 166, 166, 3497,
	5458, 166, 249, 2956, 166, 4651, 166, 283, 166, 166, 4955, 4062, 2315, 2304, 3261, 2361,
	4791, 4389, 1997, 166, 3455, 166, 166, 166, 166, 166, 166, 4746, 5695, 5296, 105, 1841,
	3368, 166, 166, 166, 5228, 166, 3496, 4423, 2024, 3907, 4774, 166, 166, 166, 166, 166,
	2294, 2193, 166, 166, 166, 166, 166, 166, 166, 166, 4393, 166, 166, 2127, 166, 4573,
	166, 5350, 166, 5016, 3372, 166, 5653, 166, 5972, 4719, 166, 166, 166, 166, 166, 5370,
	166, 6142, 166, 166, 3691, 2828, 166, 2601, 166, 2937, 2060, 3654, 3097, 2341, 5325, 4568,
	4096, 2776, 166, 2946, 166, 166, 166, 5843, 1777, 5295, 2837, 4261, 4397, 5006, 5808, 4866,
	166, 1713, 5732, 2954, 166, 166, 27, 166, 4308, 5629, 2652, 2434, 4474, 166, 4928, 166,
	4727, 3811, 166, 166, 5234, 166, 6010, 166, 4911, 166, 4570, 166, 6000, 3450, 5304, 3919,
	166, 166, 4008, 3942, 166, 272, 2363, 2064, 3595, 3505, 166, 166, 3957, 1695, 2452, 4659,
	166, 1792, 166, 131, 5968, 166, 3731, 3905, 4115, 166, 166, 2468, 166, 2727, 166, 3526,
	4724, 166, 4388, 3149, 5539, 5092, 4440, 6162, 166, 166, 193, 4429, 2493, 166, 166, 3683,
	166, 6029, 166, 277, 166, 166, 166, 5240, 2408, 166, 309, 2561, 210, 166, 5200, 166,
	166, 166, 1930, 5692, 2697, 166, 166, 166, 3330, 5331, 3860, 166, 166, 4335, 166, 50,
	3605, 4289, 1763, 166, 166, 166, 166, 3521, 166, 166, 166, 3668, 166, 166, 166, 166,
	166, 3271, 1656, 166, 166, 4782, 166, 2962, 166, 5907, 166, 3245, 3375, 2944, 5933, 166,
	166, 5406, 5655, 3139, 5423, 166, 4359, 5231, 2548, 166, 3831, 2858, 5488, 166, 5824, 166,
	166, 166, 3885, 4372, 166, 166, 4024, 166, 4811, 2970, 166, 4219, 211, 166, 3471, 166,
	166, 166, 166, 3854, 166, 3358, 2877, 166, 166, 5205, 2804, 166, 166, 166, 4452, 166,
	166, 166, 166, 3776, 166, 166, 3075, 4208, 166, 5623, 1974, 166, 2647, 166, 3235, 166,
	166, 166, 5211, 166, 166, 4304, 2206, 166, 4157, 2182, 166, 1816, 2626, 166, 2893, 2248,
	166, 166, 166, 166, 1983, 5648, 166, 194, 166, 2106, 4328, 166, 4742, 166, 166, 5572,
	2329, 3314, 166, 6181, 166, 166, 26, 166, 6026, 166, 166, 2114, 1669, 4735, 166, 166,
	4256, 166, 1861, 166, 5470, 2317, 166, 4404, 2482, 166, 5305, 4415, 5986, 4949, 5412, 166,
	1728, 166, 1898, 166, 166, 4909, 1989, 166, 166, 166, 2836, 2051, 274, 166, 2799, 166,
	5865, 1663, 4705, 5121, 2555, 166, 4316, 4287, 1880, 1825, 166, 3689, 166, 1733, 5012, 166,
	166, 2237, 4471, 1682, 2910, 166, 5366, 166, 166, 166, 166, 4532, 166, 2802, 166, 166,
	166, 4057, 2471, 166, 2889, 166, 166, 4026, 5682, 3091, 166, 1977, 166, 2901, 6137, 5658,
	88, 2318, 1965, 166, 5914, 166, 166, 4468, 1822, 166, 6050, 5956, 2201, 166, 4644, 2918,
	166, 3703, 166, 166, 3524, 4220, 2913, 4210, 166, 166, 2090, 166, 1906, 1911, 166, 166,
	3671, 2370, 166, 2552, 166, 3763, 2259, 1924, 166, 5940, 166, 166, 166, 3185, 3821, 4069,
	261, 2381, 3244, 166, 166, 5715, 166, 2052, 5905, 166, 2403, 166, 3030, 2199, 166, 3550,
	166, 166, 1846, 166, 166, 95, 166, 289, 3208, 2559, 5195, 5091, 1654, 166, 1781, 1892,
	166, 4516, 2629, 166, 1700, 3067, 166, 166, 166, 2080, 1680, 166, 166, 166, 5700, 166,
	1820, 5491, 166, 4226, 166, 166, 166, 166, 4653, 166, 3508, 227, 5364, 166, 2098, 166,
	299, 166, 5795, 166, 166, 166, 166, 3690, 4134, 5517, 4534, 5042, 4874, 5798, 4234, 166,
	166, 166, 166, 3702, 166, 166, 3638, 3108, 3850, 166, 166, 166, 16, 166, 1775, 166,
	4022, 166, 223, 4095, 166, 5127, 4266, 166, 189, 166, 166, 5203, 166, 1805, 3884, 3778,
	166, 166, 2146, 4818, 166, 2848, 3440, 4506, 5886, 3006, 218, 166, 2377, 166, 4091, 5925,
	166, 4320, 166, 2701, 3036, 166, 166, 166, 4715, 166, 3801, 166, 3161, 166, 2077, 166,
	4254, 3032, 243, 1814, 166, 166, 166, 166, 166, 166, 166, 166, 1835, 166, 4394, 166,
	5769, 4923, 166, 2917, 166, 166, 178, 166, 166, 1723, 166, 5887, 166, 4956, 2952, 166,
	4665, 3925, 3443, 3123, 166, 166, 166, 166, 166, 166, 5144, 166, 4288, 2074, 2192, 5442,
	6043, 1746, 2016, 5995, 2203, 166, 5686, 5659, 3193, 166, 4055, 166, 166, 2233, 3571, 5809,
	5984, 2323, 166, 166, 1740, 89, 4356, 6053, 6106, 3282, 4796, 166, 6116, 6056, 2353, 2829,
	166, 5807, 2042, 166, 166, 166, 1670, 5937, 4465, 5646, 166, 5562, 3008, 166, 2419, 3736,
	166, 4132, 169, 166, 166, 166, 2402, 166, 166, 1968, 2398, 166, 1684, 1827, 4551, 2679,
	3875, 166, 5585, 3835, 2295, 166, 1991, 1803, 2992, 166, 166, 5847, 2649, 166, 76, 5415,
	166, 2269, 2397, 5387, 5337, 4422, 166, 2672, 4832, 4617, 166, 166, 166, 166, 4552, 166,
	4612, 1750, 166, 1931, 166, 1691, 2424, 4194, 6018, 166, 166, 4458, 4856, 166, 2089, 3814,
	166, 2844, 166, 3592, 166, 4867, 5128, 166, 2685, 166, 166, 2616, 1972, 2617, 3943, 4664,
	166, 4999, 166, 166, 145, 3635, 166, 166, 4851, 166, 3483, 5039, 166, 3649, 3924, 166,
	166, 166, 3105, 4260, 166, 6098, 166, 3568, 267, 2456, 3653, 2096, 166, 166, 166, 3512,
	166, 3405, 166, 3504, 166, 166, 166, 4005, 2144, 1769, 166, 5474, 1920, 5554, 215, 2443,
	3351, 166, 5961, 166, 166, 166, 166, 242, 2331, 166, 166, 5931, 166, 166, 5862, 166,
	1710, 166, 166, 166, 3321, 166, 4139, 166, 166, 3515, 2732, 2510, 5544, 166, 166, 2783,
	166, 166, 166, 4018, 4649, 5789, 166, 166, 166, 166, 166, 2726, 6074, 166, 166, 166,
	5684, 166, 166, 3395, 166, 3100, 166, 5763, 3757, 1992, 166, 3198, 2003, 166, 166, 4675,
	166, 1893, 5621, 166, 2270, 166, 166, 166, 5421, 5590, 5664, 4045, 166, 3687, 4406, 2699,
	1811, 167, 4036, 5384, 166, 166, 4601, 1823, 4041, 239, 1954, 166, 146, 166, 166, 3077,
	5152, 5814, 1649, 5681, 166, 5868, 166, 166, 3792, 4860, 166, 5335, 5110, 1718, 166, 166,
	166, 166, 3718, 3365, 2826, 166, 166, 5021, 4783, 166, 5569, 5812, 166, 166, 1876, 166,
	3260, 166, 1789, 5667, 4224, 166, 166, 4385, 166, 166, 2620, 166, 4162, 2883, 2143, 5497,
	166, 166, 5316, 5680, 166, 166, 248, 4050, 166, 6021, 166, 2898, 4618, 166, 166, 166,
	166, 166, 5368, 166, 5378, 1842, 1914, 3696, 3962, 166, 4345, 2581, 1773, 2109, 166, 4371,
	166, 166, 3761, 5277, 5870, 3146, 166, 166, 166, 5764, 127, 3058, 4059, 4718, 166, 5097,
	5040, 5351, 3205, 166, 166, 4996, 2991, 2014, 166, 5846, 2558, 2688, 5595, 4027, 3347, 2125,
	5696, 5608, 166, 166, 3228, 3745, 5775, 166, 1757, 4647, 166, 5977, 3020, 166, 240, 2565,
	166, 4459, 166, 3367, 166, 166, 166, 3104, 166, 166, 166, 166, 166, 166, 259, 5486,
	2846, 166, 166, 166, 4778, 2713, 166, 3955, 5683, 2682, 2914, 5898, 166, 166, 166, 4400,
	317, 166, 5185, 3021, 5983, 4332, 3891, 166, 3095, 5003, 166, 166, 166, 5367, 166, 279,
	1784, 4019, 2736, 4905, 2651, 5346, 166, 4841, 166, 5606, 166, 166, 2806, 166, 5239, 166,
	166, 3237, 5490, 166, 225, 166, 166, 2254, 166, 2742, 4587, 22, 166, 166, 166, 5555,
	166, 108, 2927, 2218, 166, 2120, 166, 5452, 4087, 4369, 166, 166, 166, 166, 166, 4583,
	4338, 6035, 2840, 4365, 3624, 11, 1770, 166, 4630, 166, 3216, 166, 166, 166, 4638, 4699,
	3535, 2536, 4627, 166, 166, 5760, 1935, 166, 166, 5210, 166, 2219, 2484, 4597, 5193, 4799,
	3706, 166, 166, 166, 166, 3337, 3113, 5951, 4294, 166, 4040, 3200, 4217, 5861, 2767, 3530,
	4499, 2775, 4121, 134, 5939, 5880, 5908, 3869, 166, 166, 3316, 6095, 2441, 3288, 166, 3751,
	4794, 166, 166, 5803, 6169, 2356, 6182, 6135, 6127, 166, 3018, 166, 1674, 166, 166, 4097,
	166, 5923, 287, 5965, 5129, 166, 4078, 166, 166, 6114, 6015, 5990, 3573, 166, 4146, 2681,
	90, 6055, 4864, 166, 166, 6119, 3284, 6054, 5456, 5113, 6125, 166, 6057, 166, 3292, 166,
	166, 166, 166, 166, 6185, 5105, 1760, 166, 166, 166, 2720, 166, 2695, 5448, 166, 1936,
	166, 1807, 3406, 166, 166, 2161, 1642, 166, 5030, 166, 2036, 5451, 3427, 166, 166, 166,
	166, 3797, 166, 1627, 166, 4515, 166, 166, 166, 4241, 166, 166, 166, 2771, 166, 31,
	5197, 2638, 3035, 166, 166, 3914, 166, 166, 4546, 166, 166, 166, 4253, 3500, 166, 166,
	2526, 166, 2698, 166, 3726, 2744, 137, 166, 166, 2676, 166, 5594, 166, 166, 166, 4842,
	166, 63, 2888, 3585, 4798, 166, 5011, 166, 5634, 5464, 166, 166, 5620, 3894, 4070, 166,
	2730, 166, 166, 1810, 2503, 5957, 1721, 6066, 5188, 166, 166, 1890, 4505, 1771, 5455, 166,
	3132, 3984, 166, 166, 2811, 1962, 166, 166, 4872, 106, 3898, 3267, 166, 2085, 166, 4950,
	6040, 4525, 6044, 5866, 3613, 2907, 4615, 2135, 258, 166, 1681, 1941, 4888, 166, 4859, 6178,
	6174, 4858, 5209, 1912, 3340, 166, 4640, 5706, 166, 2763, 3153, 3951, 166, 5542, 5596, 5819,
	5330, 5048, 4037, 166, 6033, 4625, 3326, 2013, 5283, 136, 3373, 2154, 166, 166, 166, 4421,
	166, 5438, 2627, 2266, 2320, 166, 2588, 4790, 4290, 166, 4767, 5829, 2925, 5916, 2133, 166,
}

// this is a table lookup for all "flush" hands (e.g.  both flushes and
// straight-flushes. entries containing a zero mean that combination is not
// possible with a five-card flush hand.
var flushes = [...]uint32{
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 1599, 0, 0, 0, 0, 0, 0, 0, 1598, 0, 0, 0, 1597, 0, 1596,
	8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1595, 0, 0, 0,
	0, 0, 0, 0, 1594, 0, 0, 0, 1593, 0, 1592, 1591, 0, 0, 0, 0, 0, 0,
	0, 0, 1590, 0, 0, 0, 1589, 0, 1588, 1587, 0, 0, 0, 0, 1586, 0,
	1585, 1584, 0, 0, 1583, 1582, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 1581, 0, 0, 0, 0, 0, 0, 0, 1580, 0, 0, 0,
	1579, 0, 1578, 1577, 0, 0, 0, 0, 0, 0, 0, 0, 1576, 0, 0, 0, 1575,
	0, 1574, 1573, 0, 0, 0, 0, 1572, 0, 1571, 1570, 0, 0, 1569, 1568,
	0, 1567, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1566, 0, 0, 0, 1565, 0,
	1564, 1563, 0, 0, 0, 0, 1562, 0, 1561, 1560, 0, 0, 1559, 1558, 0,
	1557, 0, 0, 0, 0, 0, 0, 1556, 0, 1555, 1554, 0, 0, 1553, 1552, 0,
	1551, 0, 0, 0, 0, 1550, 1549, 0, 1548, 0, 0, 0, 6, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1547, 0, 0, 0,
	0, 0, 0, 0, 1546, 0, 0, 0, 1545, 0, 1544, 1543, 0, 0, 0, 0, 0, 0,
	0, 0, 1542, 0, 0, 0, 1541, 0, 1540, 1539, 0, 0, 0, 0, 1538, 0,
	1537, 1536, 0, 0, 1535, 1534, 0, 1533, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 1532, 0, 0, 0, 1531, 0, 1530, 1529, 0, 0, 0, 0, 1528, 0, 1527,
	1526, 0, 0, 1525, 1524, 0, 1523, 0, 0, 0, 0, 0, 0, 1522, 0, 1521,
	1520, 0, 0, 1519, 1518, 0, 1517, 0, 0, 0, 0, 1516, 1515, 0, 1514,
	0, 0, 0, 1513, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1512, 0,
	0, 0, 1511, 0, 1510, 1509, 0, 0, 0, 0, 1508, 0, 1507, 1506, 0, 0,
	1505, 1504, 0, 1503, 0, 0, 0, 0, 0, 0, 1502, 0, 1501, 1500, 0, 0,
	1499, 1498, 0, 1497, 0, 0, 0, 0, 1496, 1495, 0, 1494, 0, 0, 0,
	1493, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1492, 0, 1491, 1490, 0, 0,
	1489, 1488, 0, 1487, 0, 0, 0, 0, 1486, 1485, 0, 1484, 0, 0, 0,
	1483, 0, 0, 0, 0, 0, 0, 0, 0, 1482, 1481, 0, 1480, 0, 0, 0, 1479,
	0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1478, 0, 0, 0, 0,
	0, 0, 0, 1477, 0, 0, 0, 1476, 0, 1475, 1474, 0, 0, 0, 0, 0, 0, 0,
	0, 1473, 0, 0, 0, 1472, 0, 1471, 1470, 0, 0, 0, 0, 1469, 0, 1468,
	1467, 0, 0, 1466, 1465, 0, 1464, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	1463, 0, 0, 0, 1462, 0, 1461, 1460, 0, 0, 0, 0, 1459, 0, 1458,
	1457, 0, 0, 1456, 1455, 0, 1454, 0, 0, 0, 0, 0, 0, 1453, 0, 1452,
	1451, 0, 0, 1450, 1449, 0, 1448, 0, 0, 0, 0, 1447, 1446, 0, 1445,
	0, 0, 0, 1444, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1443, 0,
	0, 0, 1442, 0, 1441, 1440, 0, 0, 0, 0, 1439, 0, 1438, 1437, 0, 0,
	1436, 1435, 0, 1434, 0, 0, 0, 0, 0, 0, 1433, 0, 1432, 1431, 0, 0,
	1430, 1429, 0, 1428, 0, 0, 0, 0, 1427, 1426, 0, 1425, 0, 0, 0,
	1424, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1423, 0, 1422, 1421, 0, 0,
	1420, 1419, 0, 1418, 0, 0, 0, 0, 1417, 1416, 0, 1415, 0, 0, 0,
	1414, 0, 0, 0, 0, 0, 0, 0, 0, 1413, 1412, 0, 1411, 0, 0, 0, 1410,
	0, 0, 0, 0, 0, 0, 0, 1409, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 1408, 0, 0, 0, 1407, 0, 1406, 1405, 0,
	0, 0, 0, 1404, 0, 1403, 1402, 0, 0, 1401, 1400, 0, 1399, 0, 0, 0,
	0, 0, 0, 1398, 0, 1397, 1396, 0, 0, 1395, 1394, 0, 1393, 0, 0, 0,
	0, 1392, 1391, 0, 1390, 0, 0, 0, 1389, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 1388, 0, 1387, 1386, 0, 0, 1385, 1384, 0, 1383, 0, 0, 0, 0,
	1382, 1381, 0, 1380, 0, 0, 0, 1379, 0, 0, 0, 0, 0, 0, 0, 0, 1378,
	1377, 0, 1376, 0, 0, 0, 1375, 0, 0, 0, 0, 0, 0, 0, 1374, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1373, 0, 1372, 1371,
	0, 0, 1370, 1369, 0, 1368, 0, 0, 0, 0, 1367, 1366, 0, 1365, 0, 0,
	0, 1364, 0, 0, 0, 0, 0, 0, 0, 0, 1363, 1362, 0, 1361, 0, 0, 0,
	1360, 0, 0, 0, 0, 0, 0, 0, 1359, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 1358, 1357, 0, 1356, 0, 0, 0, 1355, 0, 0, 0, 0, 0,
	0, 0, 1354, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	1353, 0, 0, 0, 0, 0, 0, 0, 1352, 0, 0, 0, 1351, 0, 1350, 1349, 0,
	0, 0, 0, 0, 0, 0, 0, 1348, 0, 0, 0, 1347, 0, 1346, 1345, 0, 0, 0,
	0, 1344, 0, 1343, 1342, 0, 0, 1341, 1340, 0, 1339, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 1338, 0, 0, 0, 1337, 0, 1336, 1335, 0, 0, 0, 0,
	1334, 0, 1333, 1332, 0, 0, 1331, 1330, 0, 1329, 0, 0, 0, 0, 0, 0,
	1328, 0, 1327, 1326, 0, 0, 1325, 1324, 0, 1323, 0, 0, 0, 0, 1322,
	1321, 0, 1320, 0, 0, 0, 1319, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 1318, 0, 0, 0, 1317, 0, 1316, 1315, 0, 0, 0, 0, 1314, 0,
	1313, 1312, 0, 0, 1311, 1310, 0, 1309, 0, 0, 0, 0, 0, 0, 1308, 0,
	1307, 1306, 0, 0, 1305, 1304, 0, 1303, 0, 0, 0, 0, 1302, 1301, 0,
	1300, 0, 0, 0, 1299, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1298, 0, 1297,
	1296, 0, 0, 1295, 1294, 0, 1293, 0, 0, 0, 0, 1292, 1291, 0, 1290,
	0, 0, 0, 1289, 0, 0, 0, 0, 0, 0, 0, 0, 1288, 1287, 0, 1286, 0, 0,
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	0, 0, 655, 0, 654, 653, 0, 0, 652, 651, 0, 650, 0, 0, 0, 0, 649,
	648, 0, 647, 0, 0, 0, 646, 0, 0, 0, 0, 0, 0, 0, 0, 645, 644, 0,
	643, 0, 0, 0, 642, 0, 0, 0, 0, 0, 0, 0, 641, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 640, 639, 0, 638, 0, 0, 0, 637, 0, 0,
	0, 0, 0, 0, 0, 636, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	635, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 634, 0, 633, 632, 0, 0,
	631, 630, 0, 629, 0, 0, 0, 0, 628, 627, 0, 626, 0, 0, 0, 625, 0,
	0, 0, 0, 0, 0, 0, 0, 624, 623, 0, 622, 0, 0, 0, 621, 0, 0, 0, 0,
	0, 0, 0, 620, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	619, 618, 0, 617, 0, 0, 0, 616, 0, 0, 0, 0, 0, 0, 0, 615, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 614, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 613, 612, 0, 611, 0, 0, 0, 610, 0, 0, 0, 0, 0, 0, 0,
	609, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 608, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 607, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 606, 0, 0, 0, 605, 0, 604,
	603, 0, 0, 0, 0, 602, 0, 601, 600, 0, 0, 599, 598, 0, 597, 0, 0,
	0, 0, 0, 0, 596, 0, 595, 594, 0, 0, 593, 592, 0, 591, 0, 0, 0, 0,
	590, 589, 0, 588, 0, 0, 0, 587, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	586, 0, 585, 584, 0, 0, 583, 582, 0, 581, 0, 0, 0, 0, 580, 579,
	0, 578, 0, 0, 0, 577, 0, 0, 0, 0, 0, 0, 0, 0, 576, 575, 0, 574,
	0, 0, 0, 573, 0, 0, 0, 0, 0, 0, 0, 572, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 571, 0, 570, 569, 0, 0, 568, 567,
	0, 566, 0, 0, 0, 0, 565, 564, 0, 563, 0, 0, 0, 562, 0, 0, 0, 0,
	0, 0, 0, 0, 561, 560, 0, 559, 0, 0, 0, 558, 0, 0, 0, 0, 0, 0, 0,
	557, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 556, 555, 0,
	554, 0, 0, 0, 553, 0, 0, 0, 0, 0, 0, 0, 552, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 551, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	550, 0, 549, 548, 0, 0, 547, 546, 0, 545, 0, 0, 0, 0, 544, 543,
	0, 542, 0, 0, 0, 541, 0, 0, 0, 0, 0, 0, 0, 0, 540, 539, 0, 538,
	0, 0, 0, 537, 0, 0, 0, 0, 0, 0, 0, 536, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 535, 534, 0, 533, 0, 0, 0, 532, 0, 0, 0,
	0, 0, 0, 0, 531, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	530, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 529, 528, 0, 527, 0, 0, 0,
	526, 0, 0, 0, 0, 0, 0, 0, 525, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 524, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 523, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 522, 0, 521,
	520, 0, 0, 519, 518, 0, 517, 0, 0, 0, 0, 516, 515, 0, 514, 0, 0,
	0, 513, 0, 0, 0, 0, 0, 0, 0, 0, 512, 511, 0, 510, 0, 0, 0, 509,
	0, 0, 0, 0, 0, 0, 0, 508, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 507, 506, 0, 505, 0, 0, 0, 504, 0, 0, 0, 0, 0, 0, 0,
	503, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 502, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 501, 500, 0, 499, 0, 0, 0, 498, 0, 0, 0, 0,
	0, 0, 0, 497, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 496,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 495, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 494, 493, 0, 492, 0, 0, 0, 491, 0, 0,
	0, 0, 0, 0, 0, 490, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	489, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 488, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 487, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 486, 0, 0, 0, 485, 0,
	484, 483, 0, 0, 0, 0, 482, 0, 481, 480, 0, 0, 479, 478, 0, 477,
	0, 0, 0, 0, 0, 0, 476, 0, 475, 474, 0, 0, 473, 472, 0, 471, 0, 0,
	0, 0, 470, 469, 0, 468, 0, 0, 0, 467, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 466, 0, 465, 464, 0, 0, 463, 462, 0, 461, 0, 0, 0, 0, 460,
	459, 0, 458, 0, 0, 0, 457, 0, 0, 0, 0, 0, 0, 0, 0, 456, 455, 0,
	454, 0, 0, 0, 453, 0, 0, 0, 0, 0, 0, 0, 452, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 451, 0, 450, 449, 0, 0, 448,
	447, 0, 446, 0, 0, 0, 0, 445, 444, 0, 443, 0, 0, 0, 442, 0, 0, 0,
	0, 0, 0, 0, 0, 441, 440, 0, 439, 0, 0, 0, 438, 0, 0, 0, 0, 0, 0,
	0, 437, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 436, 435,
	0, 434, 0, 0, 0, 433, 0, 0, 0, 0, 0, 0, 0, 432, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 431, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 430, 0, 429, 428, 0, 0, 427, 426, 0, 425, 0, 0, 0, 0, 424,
	423, 0, 422, 0, 0, 0, 421, 0, 0, 0, 0, 0, 0, 0, 0, 420, 419, 0,
	418, 0, 0, 0, 417, 0, 0, 0, 0, 0, 0, 0, 416, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 415, 414, 0, 413, 0, 0, 0, 412, 0, 0,
	0, 0, 0, 0, 0, 411, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	410, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 409, 408, 0, 407, 0, 0, 0,
	406, 0, 0, 0, 0, 0, 0, 0, 405, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 404, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 403, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 402, 0, 401,
	400, 0, 0, 399, 398, 0, 397, 0, 0, 0, 0, 396, 395, 0, 394, 0, 0,
	0, 393, 0, 0, 0, 0, 0, 0, 0, 0, 392, 391, 0, 390, 0, 0, 0, 389,
	0, 0, 0, 0, 0, 0, 0, 388, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 387, 386, 0, 385, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0,
	383, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 382, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 381, 380, 0, 379, 0, 0, 0, 378, 0, 0, 0, 0,
	0, 0, 0, 377, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 376,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 375, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 374, 373, 0, 372, 0, 0, 0, 371, 0, 0,
	0, 0, 0, 0, 0, 370, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	369, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 368, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 367, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 366, 0, 365, 364, 0, 0, 363, 362,
	0, 361, 0, 0, 0, 0, 360, 359, 0, 358, 0, 0, 0, 357, 0, 0, 0, 0,
	0, 0, 0, 0, 356, 355, 0, 354, 0, 0, 0, 353, 0, 0, 0, 0, 0, 0, 0,
	352, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 351, 350, 0,
	349, 0, 0, 0, 348, 0, 0, 0, 0, 0, 0, 0, 347, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 345,
	344, 0, 343, 0, 0, 0, 342, 0, 0, 0, 0, 0, 0, 0, 341, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 340, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	339, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	338, 337, 0, 336, 0, 0, 0, 335, 0, 0, 0, 0, 0, 0, 0, 334, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 333, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 332, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 331, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	330, 329, 0, 328, 0, 0, 0, 327, 0, 0, 0, 0, 0, 0, 0, 326, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 325, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 324, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 323, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,
}

/*
** this is a table lookup for all non-flush hands consisting
** of five unique ranks (i.e.  either Straights or High Card
** hands).  it's similar to the above "flushes" array.
 */
var unique5 = [...]uint32{
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 1608, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 7462, 0, 0, 0, 0, 0, 0, 0, 7461, 0, 0, 0, 7460, 0,
	7459, 1607, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7458,
	0, 0, 0, 0, 0, 0, 0, 7457, 0, 0, 0, 7456, 0, 7455, 7454, 0, 0, 0,
	0, 0, 0, 0, 0, 7453, 0, 0, 0, 7452, 0, 7451, 7450, 0, 0, 0, 0,
	7449, 0, 7448, 7447, 0, 0, 7446, 7445, 0, 1606, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7444, 0, 0, 0, 0, 0, 0, 0,
	7443, 0, 0, 0, 7442, 0, 7441, 7440, 0, 0, 0, 0, 0, 0, 0, 0, 7439,
	0, 0, 0, 7438, 0, 7437, 7436, 0, 0, 0, 0, 7435, 0, 7434, 7433, 0,
	0, 7432, 7431, 0, 7430, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7429, 0, 0,
	0, 7428, 0, 7427, 7426, 0, 0, 0, 0, 7425, 0, 7424, 7423, 0, 0,
	7422, 7421, 0, 7420, 0, 0, 0, 0, 0, 0, 7419, 0, 7418, 7417, 0, 0,
	7416, 7415, 0, 7414, 0, 0, 0, 0, 7413, 7412, 0, 7411, 0, 0, 0,
	1605, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 7410, 0, 0, 0, 0, 0, 0, 0, 7409, 0, 0, 0, 7408, 0, 7407,
	7406, 0, 0, 0, 0, 0, 0, 0, 0, 7405, 0, 0, 0, 7404, 0, 7403, 7402,
	0, 0, 0, 0, 7401, 0, 7400, 7399, 0, 0, 7398, 7397, 0, 7396, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 7395, 0, 0, 0, 7394, 0, 7393, 7392, 0, 0,
	0, 0, 7391, 0, 7390, 7389, 0, 0, 7388, 7387, 0, 7386, 0, 0, 0, 0,
	0, 0, 7385, 0, 7384, 7383, 0, 0, 7382, 7381, 0, 7380, 0, 0, 0, 0,
	7379, 7378, 0, 7377, 0, 0, 0, 7376, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 7375, 0, 0, 0, 7374, 0, 7373, 7372, 0, 0, 0, 0, 7371,
	0, 7370, 7369, 0, 0, 7368, 7367, 0, 7366, 0, 0, 0, 0, 0, 0, 7365,
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	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6202, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6201, 6200, 0, 6199, 0, 0, 0,
	6198, 0, 0, 0, 0, 0, 0, 0, 6197, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 6196, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6195, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6194, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6193, 6192, 0, 6191, 0, 0, 0,
	6190, 0, 0, 0, 0, 0, 0, 0, 6189, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 6188, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6187, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6186, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1600,
}

var hash_adjust = [...]uint32{
	0, 5628, 7017, 1298, 2918, 2442, 8070, 6383, 6383, 7425, 2442, 5628, 8044, 7425, 3155, 6383,
	2918, 7452, 1533, 6849, 5586, 7452, 7452, 1533, 2209, 6029, 2794, 3509, 7992, 7733, 7452, 131,
	6029, 4491, 1814, 7452, 6110, 3155, 7077, 6675, 532, 1334, 7555, 5325, 3056, 1403, 1403, 3969,
	4491, 1403, 7592, 522, 8070, 1403, 0, 1905, 3584, 2918, 922, 3304, 6675, 0, 7622, 7017,
	3210, 2139, 1403, 5225, 0, 3969, 7992, 5743, 5499, 5499, 5345, 7452, 522, 305, 3056, 7017,
	7017, 2139, 1338, 3056, 7452, 1403, 6799, 3204, 3290, 4099, 1814, 2191, 4099, 5743, 1570, 1334,
	7363, 1905, 0, 6799, 4400, 1480, 6029, 1905, 0, 7525, 2028, 2794, 131, 7646, 3155, 4986,
	1858, 2442, 7992, 1607, 3584, 4986, 706, 6029, 5345, 7622, 6322, 5196, 1905, 6847, 218, 1785,
	0, 4099, 2981, 6849, 4751, 3950, 7733, 3056, 5499, 4055, 6849, 1533, 131, 5196, 2918, 3879,
	5325, 2794, 6029, 0, 0, 322, 7452, 6178, 2918, 2320, 6675, 3056, 6675, 1533, 6029, 1428,
	2280, 2171, 6788, 7452, 3325, 107, 4262, 311, 5562, 7857, 6110, 2139, 4942, 4600, 1905, 0,
	3083, 5345, 7452, 6675, 0, 6112, 4099, 7017, 1338, 6799, 2918, 1232, 3584, 522, 6029, 5325,
	1403, 6759, 6849, 508, 6675, 2987, 7745, 6870, 896, 7452, 1232, 4400, 12, 2981, 3850, 4491,
	6849, 0, 6675, 747, 4491, 7525, 6675, 7452, 7992, 6921, 7323, 6849, 3056, 1199, 2139, 6029,
	6029, 190, 4351, 7891, 4400, 7134, 1533, 1194, 3950, 6675, 5345, 6383, 7622, 131, 1905, 2883,
	6383, 1533, 5345, 2794, 4303, 1403, 0, 1338, 2794, 992, 4871, 6383, 4099, 2794, 3889, 6184,
	3304, 1905, 6383, 3950, 3056, 522, 1810, 3975, 7622, 7452, 522, 6799, 5866, 7084, 7622, 6528,
	2798, 7452, 1810, 7907, 642, 5345, 1905, 6849, 6675, 7745, 2918, 4751, 3229, 2139, 6029, 5207,
	6601, 2139, 7452, 5890, 1428, 5628, 7622, 2139, 3146, 2400, 578, 941, 7672, 1814, 3210, 1533,
	4491, 12, 2918, 1900, 7425, 2794, 2987, 3465, 1377, 3822, 3969, 3210, 859, 5499, 6878, 1377,
	3056, 4027, 8065, 8065, 5207, 4400, 4303, 3210, 3210, 0, 6675, 357, 5628, 5512, 1905, 3452,
	1403, 7646, 859, 6788, 3210, 2139, 378, 5663, 7733, 870, 0, 4491, 4813, 2110, 578, 2139,
	3056, 4099, 1905, 1298, 4672, 2191, 3950, 5499, 3969, 4974, 6323, 6029, 7414, 6383, 0, 4974,
	3210, 795, 4099, 131, 5345, 5345, 6576, 1810, 1621, 4400, 2918, 1905, 2442, 2679, 6322, 7452,
	2110, 1403, 6383, 2653, 5132, 6856, 7841, 2794, 6110, 2028, 6675, 7425, 6999, 7441, 6029, 183,
	6675, 4400, 859, 1403, 2794, 5985, 5345, 1533, 322, 4400, 1227, 5890, 4474, 4491, 3574, 8166,
	6849, 7086, 5345, 5345, 5459, 3584, 6675, 3969, 7579, 8044, 2295, 2577, 1480, 5743, 3304, 5499,
	330, 4303, 6863, 3822, 4600, 4751, 5628, 3822, 2918, 6675, 2400, 6663, 1403, 6849, 6029, 3145,
	6110, 3210, 747, 3229, 3056, 2918, 7733, 330, 4055, 7322, 5628, 2987, 3056, 1905, 2903, 669,
	5325, 2845, 4099, 5225, 6283, 4099, 5000, 642, 4055, 5345, 8034, 2918, 1041, 5769, 7051, 1538,
	2918, 3366, 608, 4303, 3921, 0, 2918, 1905, 218, 6687, 5963, 859, 3083, 2987, 896, 5056,
	1905, 2918, 4415, 7966, 7646, 2883, 5628, 7017, 8029, 6528, 4474, 6322, 5562, 6669, 4610, 7006,
}

var primes = [...]uint32{2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41}