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Commit 6b942c68 authored by Ken Thompson's avatar Ken Thompson
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rewrote initialization to save space. 

fixed bug in seeding. top 11 bits were
not changed by different seeds.

R=r
OCL=28998
CL=28998
parent 3b36acc7
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Showing with 164 additions and 621 deletions
src/lib/rand/rand.go
View file @ 6b942c68
...@@ -16,20 +16,176 @@ const ( ...@@ -16,20 +16,176 @@ const (
_MAX = 1<<63; _MAX = 1<<63;
_MASK = _MAX-1; _MASK = _MAX-1;
_A = 48271; _A = 48271;
_M = 2147483647; _M = (1<<31)-1;
_Q = 44488; _Q = 44488;
_R = 3399; _R = 3399;
) )
var ( var (
rng_cooked [_LEN]int64; // cooked random numbers
rng_vec [_LEN]int64; // current feedback register
rng_tap int; // index into vector rng_tap int; // index into vector
rng_feed int; // index into vector rng_feed int; // index into vector
rng_vec [_LEN]int64; // current feedback register
// cooked random numbers
// the state of the rng
// after 780e10 iterations
rng_cooked [_LEN]int64 = [...]int64 {
5041579894721019882, 4646389086726545243, 1395769623340756751, 5333664234075297259,
2875692520355975054, 9033628115061424579, 7143218595135194537, 4812947590706362721,
7937252194349799378, 5307299880338848416, 8209348851763925077, 2115741599318814044,
4593015457530856296, 8140875735541888011, 3319429241265089026, 8619815648190321034,
1727074043483619500, 113108499721038619, 4569519971459345583, 5062833859075314731,
2387618771259064424, 2716131344356686112, 6559392774825876886, 7650093201692370310,
7684323884043752161, 257867835996031390, 6593456519409015164, 271327514973697897,
2789386447340118284, 1065192797246149621, 3344507881999356393, 4459797941780066633,
7465081662728599889, 1014950805555097187, 4449440729345990775, 3481109366438502643,
2418672789110888383, 5796562887576294778, 4484266064449540171, 3738982361971787048,
4523597184512354423, 10530508058128498, 8633833783282346118, 2625309929628791628,
8660405965245884302, 10162832508971942, 6540714680961817391, 7031802312784620857,
6240911277345944669, 831864355460801054, 8004434137542152891, 2116287251661052151,
2202309800992166967, 9161020366945053561, 4069299552407763864, 4936383537992622449,
457351505131524928, 342195045928179354, 2847771682816600509, 2068020115986376518,
4368649989588021065, 887231587095185257, 5563591506886576496, 6816225200251950296,
5616972787034086048, 8471809303394836566, 1686575021641186857, 4045484338074262002,
4244156215201778923, 7848217333783577387, 5632136521049761902, 833283142057835272,
9029726508369077193, 3243583134664087292, 4316371101804477087, 8937849979965997980,
6446940406810434101, 1679342092332374735, 6050638460742422078, 6993520719509581582,
7640877852514293609, 5881353426285907985, 812786550756860885, 4541845584483343330,
2725470216277009086, 4980675660146853729, 5210769080603236061, 8894283318990530821,
6326442804750084282, 1495812843684243920, 7069751578799128019, 7370257291860230865,
6756929275356942261, 4706794511633873654, 7824520467827898663, 8549875090542453214,
33650829478596156, 1328918435751322643, 7297902601803624459, 1011190183918857495,
2238025036817854944, 5147159997473910359, 896512091560522982, 2659470849286379941,
6097729358393448602, 1731725986304753684, 4106255841983812711, 8327155210721535508,
8477511620686074402, 5803876044675762232, 8435417780860221662, 5988852856651071244,
4715837297103951910, 7566171971264485114, 505808562678895611, 5070098180695063370,
842110666775871513, 572156825025677802, 1791881013492340891, 3393267094866038768,
3778721850472236509, 2352769483186201278, 1292459583847367458, 8897907043675088419,
5781809037144163536, 2733958794029492513, 5092019688680754699, 8996124554772526841,
4234737173186232084, 5027558287275472836, 4635198586344772304, 8687338893267139351,
5907508150730407386, 784756255473944452, 972392927514829904, 5422057694808175112,
5158420642969283891, 9048531678558643225, 2407211146698877100, 7583282216521099569,
3940796514530962282, 3341174631045206375, 3095313889586102949, 7405321895688238710,
5832080132947175283, 7890064875145919662, 8184139210799583195, 1149859861409226130,
1464597243840211302, 4641648007187991873, 3516491885471466898, 956288521791657692,
6657089965014657519, 5220884358887979358, 1796677326474620641, 5340761970648932916,
1147977171614181568, 5066037465548252321, 2574765911837859848, 1085848279845204775,
3350107529868390359, 6116438694366558490, 2107701075971293812, 1803294065921269267,
2469478054175558874, 7368243281019965984, 3791908367843677526, 185046971116456637,
2257095756513439648, 7217693971077460129, 909049953079504259, 7196649268545224266,
5637660345400869599, 3955544945427965183, 8057528650917418961, 4139268440301127643,
6621926588513568059, 1373361136802681441, 6527366231383600011, 3507654575162700890,
9202058512774729859, 1954818376891585542, 6640380907130175705, 8299563319178235687,
3901867355218954373, 7046310742295574065, 6847195391333990232, 1572638100518868053,
8850422670118399721, 3631909142291992901, 5158881091950831288, 2882958317343121593,
4763258931815816403, 6280052734341785344, 4243789408204964850, 2043464728020827976,
6545300466022085465, 4562580375758598164, 5495451168795427352, 1738312861590151095,
553004618757816492, 6895160632757959823, 8233623922264685171, 7139506338801360852,
8550891222387991669, 5535668688139305547, 2430933853350256242, 5401941257863201076,
8159640039107728799, 6157493831600770366, 7632066283658143750, 6308328381617103346,
3681878764086140361, 3289686137190109749, 6587997200611086848, 244714774258135476,
4079788377417136100, 8090302575944624335, 2945117363431356361, 864324395848741045,
3009039260312620700, 8430027460082534031, 401084700045993341, 7254622446438694921,
4707864159563588614, 5640248530963493951, 5982507712689997893, 3315098242282210105,
5503847578771918426, 3941971367175193882, 8118566580304798074, 3839261274019871296,
7062410411742090847, 741381002980207668, 6027994129690250817, 2497829994150063930,
6251390334426228834, 1368930247903518833, 8809096399316380241, 6492004350391900708,
2462145737463489636, 404828418920299174, 4153026434231690595, 261785715255475940,
5464715384600071357, 592710404378763017, 6764129236657751224, 8513655718539357449,
5820343663801914208, 385298524683789911, 5224135003438199467, 6303131641338802145,
7150122561309371392, 368107899140673753, 3115186834558311558, 2915636353584281051,
4782583894627718279, 6718292300699989587, 8387085186914375220, 3387513132024756289,
4654329375432538231, 8930667561363381602, 5374373436876319273, 7623042350483453954,
7725442901813263321, 9186225467561587250, 4091027289597503355, 2357631606492579800,
2530936820058611833, 1636551876240043639, 5564664674334965799, 1452244145334316253,
2061642381019690829, 1279580266495294036, 9108481583171221009, 6023278686734049809,
5007630032676973346, 2153168792952589781, 6720334534964750538, 6041546491134794105,
3433922409283786309, 2285479922797300912, 3110614940896576130, 6366559590722842893,
5418791419666136509, 7163298419643543757, 4891138053923696990, 580618510277907015,
1684034065251686769, 4429514767357295841, 330346578555450005, 1119637995812174675,
7177515271653460134, 4589042248470800257, 7693288629059004563, 143607045258444228,
246994305896273627, 866417324803099287, 6473547110565816071, 3092379936208876896,
2058427839513754051, 5133784708526867938, 8785882556301281247, 6149332666841167611,
8585842181454472135, 6137678347805511274, 2070447184436970006, 5708223427705576541,
5999657892458244504, 4358391411789012426, 325123008708389849, 6837621693887290924,
4843721905315627004, 6010651222149276415, 5398352198963874652, 4602025990114250980,
1044646352569048800, 9106614159853161675, 829256115228593269, 4919284369102997000,
2681532557646850893, 3681559472488511871, 5307999518958214035, 6334130388442829274,
2658708232916537604, 1163313865052186287, 581945337509520675, 3648778920718647903,
4423673246306544414, 1620799783996955743, 220828013409515943, 8150384699999389761,
4287360518296753003, 4590000184845883843, 5513660857261085186, 6964829100392774275,
478991688350776035, 8746140185685648781, 228500091334420247, 1356187007457302238,
3019253992034194581, 3152601605678500003, 430152752706002213, 5559581553696971176,
4916432985369275664, 663574931734554391, 3420773838927732076, 2868348622579915573,
1999319134044418520, 3328689518636282723, 2587672709781371173, 1517255313529399333,
3092343956317362483, 3662252519007064108, 972445599196498113, 7664865435875959367,
1708913533482282562, 6917817162668868494, 3217629022545312900, 2570043027221707107,
8739788839543624613, 2488075924621352812, 4694002395387436668, 4559628481798514356,
2997203966153298104, 1282559373026354493, 240113143146674385, 8665713329246516443,
628141331766346752, 4571950817186770476, 1472811188152235408, 7596648026010355826,
6091219417754424743, 7834161864828164065, 7103445518877254909, 4390861237357459201,
4442653864240571734, 8903482404847331368, 622261699494173647, 6037261250297213248,
504404948065709118, 7275215526217113061, 1011176780856001400, 2194750105623461063,
2623071828615234808, 5157313728073836108, 3738405111966602044, 2539767524076729570,
2467284396349269342, 5256026990536851868, 7841086888628396109, 6640857538655893162,
1202087339038317498, 2113514992440715978, 7534350895342931403, 4925284734898484745,
5145623771477493805, 8225140880134972332, 2719520354384050532, 9132346697815513771,
4332154495710163773, 7137789594094346916, 6994721091344268833, 6667228574869048934,
655440045726677499, 59934747298466858, 6124974028078036405, 8957774780655365418,
2332206071942466437, 1701056712286369627, 3154897383618636503, 1637766181387607527,
2460521277767576533, 197309393502684135, 643677854385267315, 2543179307861934850,
4350769010207485119, 4754652089410667672, 2015595502641514512, 7999059458976458608,
4287946071480840813, 8362686366770308971, 6486469209321732151, 3617727845841796026,
7554353525834302244, 4450022655153542367, 1605195740213535749, 5327014565305508387,
4626575813550328320, 2692222020597705149, 241045573717249868, 5098046974627094010,
7916882295460730264, 884817090297530579, 5329160409530630596, 7790979528857726136,
4955070238059373407, 4918537275422674302, 3008076183950404629, 3007769226071157901,
2470346235617803020, 8928702772696731736, 7856187920214445904, 4474874585391974885,
7900176660600710914, 2140571127916226672, 2425445057265199971, 2486055153341847830,
4186670094382025798, 1883939007446035042, 8808666044074867985, 3734134241178479257,
4065968871360089196, 6953124200385847784, 1305686814738899057, 1637739099014457647,
3656125660947993209, 3966759634633167020, 3106378204088556331, 6328899822778449810,
4565385105440252958, 1979884289539493806, 2331793186920865425, 3783206694208922581,
8464961209802336085, 2843963751609577687, 3030678195484896323, 4793717574095772604,
4459239494808162889, 402587895800087237, 8057891408711167515, 4541888170938985079,
1042662272908816815, 5557303057122568958, 2647678726283249984, 2144477441549833761,
5806352215355387087, 7117771003473903623, 5916597177708541638, 462597715452321361,
8833658097025758785, 5970273481425315300, 563813119381731307, 2768349550652697015,
1598828206250873866, 5206393647403558110, 6235043485709261823, 3152217402014639496,
8469693267274066490, 125672920241807416, 5311079624024060938, 6663754932310491587,
8736848295048751716, 4488039774992061878, 5923302823487327109, 140891791083103236,
7414942793393574290, 7990420780896957397, 4317817392807076702, 3625184369705367340,
2740722765288122703, 5743100009702758344, 5997898640509039159, 8854493341352484163,
5242208035432907801, 701338899890987198, 7609280429197514109, 3020985755112334161,
6651322707055512866, 2635195723621160615, 5144520864246028816, 1035086515727829828,
1567242097116389047, 8172389260191636581, 6337820351429292273, 2163012566996458925,
2743190902890262681, 1906367633221323427, 6011544915663598137, 5932255307352610768,
2241128460406315459, 895504896216695588, 3094483003111372717, 4583857460292963101,
9079887171656594975, 8839289181930711403, 5762740387243057873, 4225072055348026230,
1838220598389033063, 3801620336801580414, 8823526620080073856, 1776617605585100335,
7899055018877642622, 5421679761463003041, 5521102963086275121, 4248279443559365898,
8735487530905098534, 1760527091573692978, 7142485049657745894, 8222656872927218123,
4969531564923704323, 3394475942196872480, 6424174453260338141, 359248545074932887,
3273651282831730598, 6797106199797138596, 3030918217665093212, 145600834617314036,
6036575856065626233, 740416251634527158, 7080427635449935582, 6951781370868335478,
399922722363687927, 294902314447253185, 7844950936339178523, 880320858634709042,
6192655680808675579, 411604686384710388, 9026808440365124461, 6440783557497587732,
4615674634722404292, 539897290441580544, 2096238225866883852, 8751955639408182687,
1907224908052289603, 7381039757301768559, 6157238513393239656, 7749994231914157575,
8629571604380892756, 5280433031239081479, 7101611890139813254, 2479018537985767835,
7169176924412769570, 7942066497793203302, 1357759729055557688, 2278447439451174845,
3625338785743880657, 6477479539006708521, 8976185375579272206, 5511371554711836120,
1326024180520890843, 7537449876596048829, 5464680203499696154, 3189671183162196045,
6346751753565857109, 241159987320630307, 3095793449658682053, 8978332846736310159,
2902794662273147216, 7208698530190629697, 7276901792339343736, 1732385229314443140,
4133292154170828382, 2918308698224194548, 1519461397937144458, 5293934712616591764,
4922828954023452664, 2879211533496425641, 5896236396443472108, 8465043815351752425,
7329020396871624740, 8915471717014488588, 2944902635677463047, 7052079073493465134,
8382142935188824023, 9103922860780351547, 4152330101494654406 };
) )
// seed rng x[n+1] = 48271 * x[n] mod (2**31 - 1)
func seedrand(x int32) int32 { func seedrand(x int32) int32 {
// seed rng x[n+1] = 48271 * x[n] mod (2**31 - 1)
hi := x / _Q; hi := x / _Q;
lo := x % _Q; lo := x % _Q;
x = _A*lo - _R*hi; x = _A*lo - _R*hi;
...@@ -57,9 +213,9 @@ func Seed(seed int32) { ...@@ -57,9 +213,9 @@ func Seed(seed int32) {
x = seedrand(x); x = seedrand(x);
if i >= 0 { if i >= 0 {
var u int64; var u int64;
u = int64(x) << 20; u = int64(x) << 40;
x = seedrand(x); x = seedrand(x);
u ^= int64(x) << 10; u ^= int64(x) << 20;
x = seedrand(x); x = seedrand(x);
u ^= int64(x); u ^= int64(x);
u ^= rng_cooked[i]; u ^= rng_cooked[i];
...@@ -144,7 +300,7 @@ func Float() float ...@@ -144,7 +300,7 @@ func Float() float
return float(Float64()) return float(Float64())
} }
// Perm returns, as an array of n ints, a pseudo-random permutation of the integers [0,n). // Perm returns, as a slice of n ints, a pseudo-random permutation of the integers [0,n).
func Perm(n int) []int { func Perm(n int) []int {
m := make([]int, n); m := make([]int, n);
for i:=0; i<n; i++ { for i:=0; i<n; i++ {
...@@ -152,624 +308,11 @@ func Perm(n int) []int { ...@@ -152,624 +308,11 @@ func Perm(n int) []int {
} }
for i:=0; i<n; i++ { for i:=0; i<n; i++ {
j := Intn(n); j := Intn(n);
t := m[i]; m[i],m[j] = m[j],m[i];
m[i] = m[j];
m[j] = t;
} }
return m; return m;
} }
func init() { func init() {
// the state of the rng
// after 780e10 iterations
rng_cooked[ 0] = 5041579894721019882;
rng_cooked[ 1] = 4646389086726545243;
rng_cooked[ 2] = 1395769623340756751;
rng_cooked[ 3] = 5333664234075297259;
rng_cooked[ 4] = 2875692520355975054;
rng_cooked[ 5] = 9033628115061424579;
rng_cooked[ 6] = 7143218595135194537;
rng_cooked[ 7] = 4812947590706362721;
rng_cooked[ 8] = 7937252194349799378;
rng_cooked[ 9] = 5307299880338848416;
rng_cooked[ 10] = 8209348851763925077;
rng_cooked[ 11] = 2115741599318814044;
rng_cooked[ 12] = 4593015457530856296;
rng_cooked[ 13] = 8140875735541888011;
rng_cooked[ 14] = 3319429241265089026;
rng_cooked[ 15] = 8619815648190321034;
rng_cooked[ 16] = 1727074043483619500;
rng_cooked[ 17] = 113108499721038619;
rng_cooked[ 18] = 4569519971459345583;
rng_cooked[ 19] = 5062833859075314731;
rng_cooked[ 20] = 2387618771259064424;
rng_cooked[ 21] = 2716131344356686112;
rng_cooked[ 22] = 6559392774825876886;
rng_cooked[ 23] = 7650093201692370310;
rng_cooked[ 24] = 7684323884043752161;
rng_cooked[ 25] = 257867835996031390;
rng_cooked[ 26] = 6593456519409015164;
rng_cooked[ 27] = 271327514973697897;
rng_cooked[ 28] = 2789386447340118284;
rng_cooked[ 29] = 1065192797246149621;
rng_cooked[ 30] = 3344507881999356393;
rng_cooked[ 31] = 4459797941780066633;
rng_cooked[ 32] = 7465081662728599889;
rng_cooked[ 33] = 1014950805555097187;
rng_cooked[ 34] = 4449440729345990775;
rng_cooked[ 35] = 3481109366438502643;
rng_cooked[ 36] = 2418672789110888383;
rng_cooked[ 37] = 5796562887576294778;
rng_cooked[ 38] = 4484266064449540171;
rng_cooked[ 39] = 3738982361971787048;
rng_cooked[ 40] = 4523597184512354423;
rng_cooked[ 41] = 10530508058128498;
rng_cooked[ 42] = 8633833783282346118;
rng_cooked[ 43] = 2625309929628791628;
rng_cooked[ 44] = 8660405965245884302;
rng_cooked[ 45] = 10162832508971942;
rng_cooked[ 46] = 6540714680961817391;
rng_cooked[ 47] = 7031802312784620857;
rng_cooked[ 48] = 6240911277345944669;
rng_cooked[ 49] = 831864355460801054;
rng_cooked[ 50] = 8004434137542152891;
rng_cooked[ 51] = 2116287251661052151;
rng_cooked[ 52] = 2202309800992166967;
rng_cooked[ 53] = 9161020366945053561;
rng_cooked[ 54] = 4069299552407763864;
rng_cooked[ 55] = 4936383537992622449;
rng_cooked[ 56] = 457351505131524928;
rng_cooked[ 57] = 342195045928179354;
rng_cooked[ 58] = 2847771682816600509;
rng_cooked[ 59] = 2068020115986376518;
rng_cooked[ 60] = 4368649989588021065;
rng_cooked[ 61] = 887231587095185257;
rng_cooked[ 62] = 5563591506886576496;
rng_cooked[ 63] = 6816225200251950296;
rng_cooked[ 64] = 5616972787034086048;
rng_cooked[ 65] = 8471809303394836566;
rng_cooked[ 66] = 1686575021641186857;
rng_cooked[ 67] = 4045484338074262002;
rng_cooked[ 68] = 4244156215201778923;
rng_cooked[ 69] = 7848217333783577387;
rng_cooked[ 70] = 5632136521049761902;
rng_cooked[ 71] = 833283142057835272;
rng_cooked[ 72] = 9029726508369077193;
rng_cooked[ 73] = 3243583134664087292;
rng_cooked[ 74] = 4316371101804477087;
rng_cooked[ 75] = 8937849979965997980;
rng_cooked[ 76] = 6446940406810434101;
rng_cooked[ 77] = 1679342092332374735;
rng_cooked[ 78] = 6050638460742422078;
rng_cooked[ 79] = 6993520719509581582;
rng_cooked[ 80] = 7640877852514293609;
rng_cooked[ 81] = 5881353426285907985;
rng_cooked[ 82] = 812786550756860885;
rng_cooked[ 83] = 4541845584483343330;
rng_cooked[ 84] = 2725470216277009086;
rng_cooked[ 85] = 4980675660146853729;
rng_cooked[ 86] = 5210769080603236061;
rng_cooked[ 87] = 8894283318990530821;
rng_cooked[ 88] = 6326442804750084282;
rng_cooked[ 89] = 1495812843684243920;
rng_cooked[ 90] = 7069751578799128019;
rng_cooked[ 91] = 7370257291860230865;
rng_cooked[ 92] = 6756929275356942261;
rng_cooked[ 93] = 4706794511633873654;
rng_cooked[ 94] = 7824520467827898663;
rng_cooked[ 95] = 8549875090542453214;
rng_cooked[ 96] = 33650829478596156;
rng_cooked[ 97] = 1328918435751322643;
rng_cooked[ 98] = 7297902601803624459;
rng_cooked[ 99] = 1011190183918857495;
rng_cooked[100] = 2238025036817854944;
rng_cooked[101] = 5147159997473910359;
rng_cooked[102] = 896512091560522982;
rng_cooked[103] = 2659470849286379941;
rng_cooked[104] = 6097729358393448602;
rng_cooked[105] = 1731725986304753684;
rng_cooked[106] = 4106255841983812711;
rng_cooked[107] = 8327155210721535508;
rng_cooked[108] = 8477511620686074402;
rng_cooked[109] = 5803876044675762232;
rng_cooked[110] = 8435417780860221662;
rng_cooked[111] = 5988852856651071244;
rng_cooked[112] = 4715837297103951910;
rng_cooked[113] = 7566171971264485114;
rng_cooked[114] = 505808562678895611;
rng_cooked[115] = 5070098180695063370;
rng_cooked[116] = 842110666775871513;
rng_cooked[117] = 572156825025677802;
rng_cooked[118] = 1791881013492340891;
rng_cooked[119] = 3393267094866038768;
rng_cooked[120] = 3778721850472236509;
rng_cooked[121] = 2352769483186201278;
rng_cooked[122] = 1292459583847367458;
rng_cooked[123] = 8897907043675088419;
rng_cooked[124] = 5781809037144163536;
rng_cooked[125] = 2733958794029492513;
rng_cooked[126] = 5092019688680754699;
rng_cooked[127] = 8996124554772526841;
rng_cooked[128] = 4234737173186232084;
rng_cooked[129] = 5027558287275472836;
rng_cooked[130] = 4635198586344772304;
rng_cooked[131] = 8687338893267139351;
rng_cooked[132] = 5907508150730407386;
rng_cooked[133] = 784756255473944452;
rng_cooked[134] = 972392927514829904;
rng_cooked[135] = 5422057694808175112;
rng_cooked[136] = 5158420642969283891;
rng_cooked[137] = 9048531678558643225;
rng_cooked[138] = 2407211146698877100;
rng_cooked[139] = 7583282216521099569;
rng_cooked[140] = 3940796514530962282;
rng_cooked[141] = 3341174631045206375;
rng_cooked[142] = 3095313889586102949;
rng_cooked[143] = 7405321895688238710;
rng_cooked[144] = 5832080132947175283;
rng_cooked[145] = 7890064875145919662;
rng_cooked[146] = 8184139210799583195;
rng_cooked[147] = 1149859861409226130;
rng_cooked[148] = 1464597243840211302;
rng_cooked[149] = 4641648007187991873;
rng_cooked[150] = 3516491885471466898;
rng_cooked[151] = 956288521791657692;
rng_cooked[152] = 6657089965014657519;
rng_cooked[153] = 5220884358887979358;
rng_cooked[154] = 1796677326474620641;
rng_cooked[155] = 5340761970648932916;
rng_cooked[156] = 1147977171614181568;
rng_cooked[157] = 5066037465548252321;
rng_cooked[158] = 2574765911837859848;
rng_cooked[159] = 1085848279845204775;
rng_cooked[160] = 3350107529868390359;
rng_cooked[161] = 6116438694366558490;
rng_cooked[162] = 2107701075971293812;
rng_cooked[163] = 1803294065921269267;
rng_cooked[164] = 2469478054175558874;
rng_cooked[165] = 7368243281019965984;
rng_cooked[166] = 3791908367843677526;
rng_cooked[167] = 185046971116456637;
rng_cooked[168] = 2257095756513439648;
rng_cooked[169] = 7217693971077460129;
rng_cooked[170] = 909049953079504259;
rng_cooked[171] = 7196649268545224266;
rng_cooked[172] = 5637660345400869599;
rng_cooked[173] = 3955544945427965183;
rng_cooked[174] = 8057528650917418961;
rng_cooked[175] = 4139268440301127643;
rng_cooked[176] = 6621926588513568059;
rng_cooked[177] = 1373361136802681441;
rng_cooked[178] = 6527366231383600011;
rng_cooked[179] = 3507654575162700890;
rng_cooked[180] = 9202058512774729859;
rng_cooked[181] = 1954818376891585542;
rng_cooked[182] = 6640380907130175705;
rng_cooked[183] = 8299563319178235687;
rng_cooked[184] = 3901867355218954373;
rng_cooked[185] = 7046310742295574065;
rng_cooked[186] = 6847195391333990232;
rng_cooked[187] = 1572638100518868053;
rng_cooked[188] = 8850422670118399721;
rng_cooked[189] = 3631909142291992901;
rng_cooked[190] = 5158881091950831288;
rng_cooked[191] = 2882958317343121593;
rng_cooked[192] = 4763258931815816403;
rng_cooked[193] = 6280052734341785344;
rng_cooked[194] = 4243789408204964850;
rng_cooked[195] = 2043464728020827976;
rng_cooked[196] = 6545300466022085465;
rng_cooked[197] = 4562580375758598164;
rng_cooked[198] = 5495451168795427352;
rng_cooked[199] = 1738312861590151095;
rng_cooked[200] = 553004618757816492;
rng_cooked[201] = 6895160632757959823;
rng_cooked[202] = 8233623922264685171;
rng_cooked[203] = 7139506338801360852;
rng_cooked[204] = 8550891222387991669;
rng_cooked[205] = 5535668688139305547;
rng_cooked[206] = 2430933853350256242;
rng_cooked[207] = 5401941257863201076;
rng_cooked[208] = 8159640039107728799;
rng_cooked[209] = 6157493831600770366;
rng_cooked[210] = 7632066283658143750;
rng_cooked[211] = 6308328381617103346;
rng_cooked[212] = 3681878764086140361;
rng_cooked[213] = 3289686137190109749;
rng_cooked[214] = 6587997200611086848;
rng_cooked[215] = 244714774258135476;
rng_cooked[216] = 4079788377417136100;
rng_cooked[217] = 8090302575944624335;
rng_cooked[218] = 2945117363431356361;
rng_cooked[219] = 864324395848741045;
rng_cooked[220] = 3009039260312620700;
rng_cooked[221] = 8430027460082534031;
rng_cooked[222] = 401084700045993341;
rng_cooked[223] = 7254622446438694921;
rng_cooked[224] = 4707864159563588614;
rng_cooked[225] = 5640248530963493951;
rng_cooked[226] = 5982507712689997893;
rng_cooked[227] = 3315098242282210105;
rng_cooked[228] = 5503847578771918426;
rng_cooked[229] = 3941971367175193882;
rng_cooked[230] = 8118566580304798074;
rng_cooked[231] = 3839261274019871296;
rng_cooked[232] = 7062410411742090847;
rng_cooked[233] = 741381002980207668;
rng_cooked[234] = 6027994129690250817;
rng_cooked[235] = 2497829994150063930;
rng_cooked[236] = 6251390334426228834;
rng_cooked[237] = 1368930247903518833;
rng_cooked[238] = 8809096399316380241;
rng_cooked[239] = 6492004350391900708;
rng_cooked[240] = 2462145737463489636;
rng_cooked[241] = 404828418920299174;
rng_cooked[242] = 4153026434231690595;
rng_cooked[243] = 261785715255475940;
rng_cooked[244] = 5464715384600071357;
rng_cooked[245] = 592710404378763017;
rng_cooked[246] = 6764129236657751224;
rng_cooked[247] = 8513655718539357449;
rng_cooked[248] = 5820343663801914208;
rng_cooked[249] = 385298524683789911;
rng_cooked[250] = 5224135003438199467;
rng_cooked[251] = 6303131641338802145;
rng_cooked[252] = 7150122561309371392;
rng_cooked[253] = 368107899140673753;
rng_cooked[254] = 3115186834558311558;
rng_cooked[255] = 2915636353584281051;
rng_cooked[256] = 4782583894627718279;
rng_cooked[257] = 6718292300699989587;
rng_cooked[258] = 8387085186914375220;
rng_cooked[259] = 3387513132024756289;
rng_cooked[260] = 4654329375432538231;
rng_cooked[261] = 8930667561363381602;
rng_cooked[262] = 5374373436876319273;
rng_cooked[263] = 7623042350483453954;
rng_cooked[264] = 7725442901813263321;
rng_cooked[265] = 9186225467561587250;
rng_cooked[266] = 4091027289597503355;
rng_cooked[267] = 2357631606492579800;
rng_cooked[268] = 2530936820058611833;
rng_cooked[269] = 1636551876240043639;
rng_cooked[270] = 5564664674334965799;
rng_cooked[271] = 1452244145334316253;
rng_cooked[272] = 2061642381019690829;
rng_cooked[273] = 1279580266495294036;
rng_cooked[274] = 9108481583171221009;
rng_cooked[275] = 6023278686734049809;
rng_cooked[276] = 5007630032676973346;
rng_cooked[277] = 2153168792952589781;
rng_cooked[278] = 6720334534964750538;
rng_cooked[279] = 6041546491134794105;
rng_cooked[280] = 3433922409283786309;
rng_cooked[281] = 2285479922797300912;
rng_cooked[282] = 3110614940896576130;
rng_cooked[283] = 6366559590722842893;
rng_cooked[284] = 5418791419666136509;
rng_cooked[285] = 7163298419643543757;
rng_cooked[286] = 4891138053923696990;
rng_cooked[287] = 580618510277907015;
rng_cooked[288] = 1684034065251686769;
rng_cooked[289] = 4429514767357295841;
rng_cooked[290] = 330346578555450005;
rng_cooked[291] = 1119637995812174675;
rng_cooked[292] = 7177515271653460134;
rng_cooked[293] = 4589042248470800257;
rng_cooked[294] = 7693288629059004563;
rng_cooked[295] = 143607045258444228;
rng_cooked[296] = 246994305896273627;
rng_cooked[297] = 866417324803099287;
rng_cooked[298] = 6473547110565816071;
rng_cooked[299] = 3092379936208876896;
rng_cooked[300] = 2058427839513754051;
rng_cooked[301] = 5133784708526867938;
rng_cooked[302] = 8785882556301281247;
rng_cooked[303] = 6149332666841167611;
rng_cooked[304] = 8585842181454472135;
rng_cooked[305] = 6137678347805511274;
rng_cooked[306] = 2070447184436970006;
rng_cooked[307] = 5708223427705576541;
rng_cooked[308] = 5999657892458244504;
rng_cooked[309] = 4358391411789012426;
rng_cooked[310] = 325123008708389849;
rng_cooked[311] = 6837621693887290924;
rng_cooked[312] = 4843721905315627004;
rng_cooked[313] = 6010651222149276415;
rng_cooked[314] = 5398352198963874652;
rng_cooked[315] = 4602025990114250980;
rng_cooked[316] = 1044646352569048800;
rng_cooked[317] = 9106614159853161675;
rng_cooked[318] = 829256115228593269;
rng_cooked[319] = 4919284369102997000;
rng_cooked[320] = 2681532557646850893;
rng_cooked[321] = 3681559472488511871;
rng_cooked[322] = 5307999518958214035;
rng_cooked[323] = 6334130388442829274;
rng_cooked[324] = 2658708232916537604;
rng_cooked[325] = 1163313865052186287;
rng_cooked[326] = 581945337509520675;
rng_cooked[327] = 3648778920718647903;
rng_cooked[328] = 4423673246306544414;
rng_cooked[329] = 1620799783996955743;
rng_cooked[330] = 220828013409515943;
rng_cooked[331] = 8150384699999389761;
rng_cooked[332] = 4287360518296753003;
rng_cooked[333] = 4590000184845883843;
rng_cooked[334] = 5513660857261085186;
rng_cooked[335] = 6964829100392774275;
rng_cooked[336] = 478991688350776035;
rng_cooked[337] = 8746140185685648781;
rng_cooked[338] = 228500091334420247;
rng_cooked[339] = 1356187007457302238;
rng_cooked[340] = 3019253992034194581;
rng_cooked[341] = 3152601605678500003;
rng_cooked[342] = 430152752706002213;
rng_cooked[343] = 5559581553696971176;
rng_cooked[344] = 4916432985369275664;
rng_cooked[345] = 663574931734554391;
rng_cooked[346] = 3420773838927732076;
rng_cooked[347] = 2868348622579915573;
rng_cooked[348] = 1999319134044418520;
rng_cooked[349] = 3328689518636282723;
rng_cooked[350] = 2587672709781371173;
rng_cooked[351] = 1517255313529399333;
rng_cooked[352] = 3092343956317362483;
rng_cooked[353] = 3662252519007064108;
rng_cooked[354] = 972445599196498113;
rng_cooked[355] = 7664865435875959367;
rng_cooked[356] = 1708913533482282562;
rng_cooked[357] = 6917817162668868494;
rng_cooked[358] = 3217629022545312900;
rng_cooked[359] = 2570043027221707107;
rng_cooked[360] = 8739788839543624613;
rng_cooked[361] = 2488075924621352812;
rng_cooked[362] = 4694002395387436668;
rng_cooked[363] = 4559628481798514356;
rng_cooked[364] = 2997203966153298104;
rng_cooked[365] = 1282559373026354493;
rng_cooked[366] = 240113143146674385;
rng_cooked[367] = 8665713329246516443;
rng_cooked[368] = 628141331766346752;
rng_cooked[369] = 4571950817186770476;
rng_cooked[370] = 1472811188152235408;
rng_cooked[371] = 7596648026010355826;
rng_cooked[372] = 6091219417754424743;
rng_cooked[373] = 7834161864828164065;
rng_cooked[374] = 7103445518877254909;
rng_cooked[375] = 4390861237357459201;
rng_cooked[376] = 4442653864240571734;
rng_cooked[377] = 8903482404847331368;
rng_cooked[378] = 622261699494173647;
rng_cooked[379] = 6037261250297213248;
rng_cooked[380] = 504404948065709118;
rng_cooked[381] = 7275215526217113061;
rng_cooked[382] = 1011176780856001400;
rng_cooked[383] = 2194750105623461063;
rng_cooked[384] = 2623071828615234808;
rng_cooked[385] = 5157313728073836108;
rng_cooked[386] = 3738405111966602044;
rng_cooked[387] = 2539767524076729570;
rng_cooked[388] = 2467284396349269342;
rng_cooked[389] = 5256026990536851868;
rng_cooked[390] = 7841086888628396109;
rng_cooked[391] = 6640857538655893162;
rng_cooked[392] = 1202087339038317498;
rng_cooked[393] = 2113514992440715978;
rng_cooked[394] = 7534350895342931403;
rng_cooked[395] = 4925284734898484745;
rng_cooked[396] = 5145623771477493805;
rng_cooked[397] = 8225140880134972332;
rng_cooked[398] = 2719520354384050532;
rng_cooked[399] = 9132346697815513771;
rng_cooked[400] = 4332154495710163773;
rng_cooked[401] = 7137789594094346916;
rng_cooked[402] = 6994721091344268833;
rng_cooked[403] = 6667228574869048934;
rng_cooked[404] = 655440045726677499;
rng_cooked[405] = 59934747298466858;
rng_cooked[406] = 6124974028078036405;
rng_cooked[407] = 8957774780655365418;
rng_cooked[408] = 2332206071942466437;
rng_cooked[409] = 1701056712286369627;
rng_cooked[410] = 3154897383618636503;
rng_cooked[411] = 1637766181387607527;
rng_cooked[412] = 2460521277767576533;
rng_cooked[413] = 197309393502684135;
rng_cooked[414] = 643677854385267315;
rng_cooked[415] = 2543179307861934850;
rng_cooked[416] = 4350769010207485119;
rng_cooked[417] = 4754652089410667672;
rng_cooked[418] = 2015595502641514512;
rng_cooked[419] = 7999059458976458608;
rng_cooked[420] = 4287946071480840813;
rng_cooked[421] = 8362686366770308971;
rng_cooked[422] = 6486469209321732151;
rng_cooked[423] = 3617727845841796026;
rng_cooked[424] = 7554353525834302244;
rng_cooked[425] = 4450022655153542367;
rng_cooked[426] = 1605195740213535749;
rng_cooked[427] = 5327014565305508387;
rng_cooked[428] = 4626575813550328320;
rng_cooked[429] = 2692222020597705149;
rng_cooked[430] = 241045573717249868;
rng_cooked[431] = 5098046974627094010;
rng_cooked[432] = 7916882295460730264;
rng_cooked[433] = 884817090297530579;
rng_cooked[434] = 5329160409530630596;
rng_cooked[435] = 7790979528857726136;
rng_cooked[436] = 4955070238059373407;
rng_cooked[437] = 4918537275422674302;
rng_cooked[438] = 3008076183950404629;
rng_cooked[439] = 3007769226071157901;
rng_cooked[440] = 2470346235617803020;
rng_cooked[441] = 8928702772696731736;
rng_cooked[442] = 7856187920214445904;
rng_cooked[443] = 4474874585391974885;
rng_cooked[444] = 7900176660600710914;
rng_cooked[445] = 2140571127916226672;
rng_cooked[446] = 2425445057265199971;
rng_cooked[447] = 2486055153341847830;
rng_cooked[448] = 4186670094382025798;
rng_cooked[449] = 1883939007446035042;
rng_cooked[450] = 8808666044074867985;
rng_cooked[451] = 3734134241178479257;
rng_cooked[452] = 4065968871360089196;
rng_cooked[453] = 6953124200385847784;
rng_cooked[454] = 1305686814738899057;
rng_cooked[455] = 1637739099014457647;
rng_cooked[456] = 3656125660947993209;
rng_cooked[457] = 3966759634633167020;
rng_cooked[458] = 3106378204088556331;
rng_cooked[459] = 6328899822778449810;
rng_cooked[460] = 4565385105440252958;
rng_cooked[461] = 1979884289539493806;
rng_cooked[462] = 2331793186920865425;
rng_cooked[463] = 3783206694208922581;
rng_cooked[464] = 8464961209802336085;
rng_cooked[465] = 2843963751609577687;
rng_cooked[466] = 3030678195484896323;
rng_cooked[467] = 4793717574095772604;
rng_cooked[468] = 4459239494808162889;
rng_cooked[469] = 402587895800087237;
rng_cooked[470] = 8057891408711167515;
rng_cooked[471] = 4541888170938985079;
rng_cooked[472] = 1042662272908816815;
rng_cooked[473] = 5557303057122568958;
rng_cooked[474] = 2647678726283249984;
rng_cooked[475] = 2144477441549833761;
rng_cooked[476] = 5806352215355387087;
rng_cooked[477] = 7117771003473903623;
rng_cooked[478] = 5916597177708541638;
rng_cooked[479] = 462597715452321361;
rng_cooked[480] = 8833658097025758785;
rng_cooked[481] = 5970273481425315300;
rng_cooked[482] = 563813119381731307;
rng_cooked[483] = 2768349550652697015;
rng_cooked[484] = 1598828206250873866;
rng_cooked[485] = 5206393647403558110;
rng_cooked[486] = 6235043485709261823;
rng_cooked[487] = 3152217402014639496;
rng_cooked[488] = 8469693267274066490;
rng_cooked[489] = 125672920241807416;
rng_cooked[490] = 5311079624024060938;
rng_cooked[491] = 6663754932310491587;
rng_cooked[492] = 8736848295048751716;
rng_cooked[493] = 4488039774992061878;
rng_cooked[494] = 5923302823487327109;
rng_cooked[495] = 140891791083103236;
rng_cooked[496] = 7414942793393574290;
rng_cooked[497] = 7990420780896957397;
rng_cooked[498] = 4317817392807076702;
rng_cooked[499] = 3625184369705367340;
rng_cooked[500] = 2740722765288122703;
rng_cooked[501] = 5743100009702758344;
rng_cooked[502] = 5997898640509039159;
rng_cooked[503] = 8854493341352484163;
rng_cooked[504] = 5242208035432907801;
rng_cooked[505] = 701338899890987198;
rng_cooked[506] = 7609280429197514109;
rng_cooked[507] = 3020985755112334161;
rng_cooked[508] = 6651322707055512866;
rng_cooked[509] = 2635195723621160615;
rng_cooked[510] = 5144520864246028816;
rng_cooked[511] = 1035086515727829828;
rng_cooked[512] = 1567242097116389047;
rng_cooked[513] = 8172389260191636581;
rng_cooked[514] = 6337820351429292273;
rng_cooked[515] = 2163012566996458925;
rng_cooked[516] = 2743190902890262681;
rng_cooked[517] = 1906367633221323427;
rng_cooked[518] = 6011544915663598137;
rng_cooked[519] = 5932255307352610768;
rng_cooked[520] = 2241128460406315459;
rng_cooked[521] = 895504896216695588;
rng_cooked[522] = 3094483003111372717;
rng_cooked[523] = 4583857460292963101;
rng_cooked[524] = 9079887171656594975;
rng_cooked[525] = 8839289181930711403;
rng_cooked[526] = 5762740387243057873;
rng_cooked[527] = 4225072055348026230;
rng_cooked[528] = 1838220598389033063;
rng_cooked[529] = 3801620336801580414;
rng_cooked[530] = 8823526620080073856;
rng_cooked[531] = 1776617605585100335;
rng_cooked[532] = 7899055018877642622;
rng_cooked[533] = 5421679761463003041;
rng_cooked[534] = 5521102963086275121;
rng_cooked[535] = 4248279443559365898;
rng_cooked[536] = 8735487530905098534;
rng_cooked[537] = 1760527091573692978;
rng_cooked[538] = 7142485049657745894;
rng_cooked[539] = 8222656872927218123;
rng_cooked[540] = 4969531564923704323;
rng_cooked[541] = 3394475942196872480;
rng_cooked[542] = 6424174453260338141;
rng_cooked[543] = 359248545074932887;
rng_cooked[544] = 3273651282831730598;
rng_cooked[545] = 6797106199797138596;
rng_cooked[546] = 3030918217665093212;
rng_cooked[547] = 145600834617314036;
rng_cooked[548] = 6036575856065626233;
rng_cooked[549] = 740416251634527158;
rng_cooked[550] = 7080427635449935582;
rng_cooked[551] = 6951781370868335478;
rng_cooked[552] = 399922722363687927;
rng_cooked[553] = 294902314447253185;
rng_cooked[554] = 7844950936339178523;
rng_cooked[555] = 880320858634709042;
rng_cooked[556] = 6192655680808675579;
rng_cooked[557] = 411604686384710388;
rng_cooked[558] = 9026808440365124461;
rng_cooked[559] = 6440783557497587732;
rng_cooked[560] = 4615674634722404292;
rng_cooked[561] = 539897290441580544;
rng_cooked[562] = 2096238225866883852;
rng_cooked[563] = 8751955639408182687;
rng_cooked[564] = 1907224908052289603;
rng_cooked[565] = 7381039757301768559;
rng_cooked[566] = 6157238513393239656;
rng_cooked[567] = 7749994231914157575;
rng_cooked[568] = 8629571604380892756;
rng_cooked[569] = 5280433031239081479;
rng_cooked[570] = 7101611890139813254;
rng_cooked[571] = 2479018537985767835;
rng_cooked[572] = 7169176924412769570;
rng_cooked[573] = 7942066497793203302;
rng_cooked[574] = 1357759729055557688;
rng_cooked[575] = 2278447439451174845;
rng_cooked[576] = 3625338785743880657;
rng_cooked[577] = 6477479539006708521;
rng_cooked[578] = 8976185375579272206;
rng_cooked[579] = 5511371554711836120;
rng_cooked[580] = 1326024180520890843;
rng_cooked[581] = 7537449876596048829;
rng_cooked[582] = 5464680203499696154;
rng_cooked[583] = 3189671183162196045;
rng_cooked[584] = 6346751753565857109;
rng_cooked[585] = 241159987320630307;
rng_cooked[586] = 3095793449658682053;
rng_cooked[587] = 8978332846736310159;
rng_cooked[588] = 2902794662273147216;
rng_cooked[589] = 7208698530190629697;
rng_cooked[590] = 7276901792339343736;
rng_cooked[591] = 1732385229314443140;
rng_cooked[592] = 4133292154170828382;
rng_cooked[593] = 2918308698224194548;
rng_cooked[594] = 1519461397937144458;
rng_cooked[595] = 5293934712616591764;
rng_cooked[596] = 4922828954023452664;
rng_cooked[597] = 2879211533496425641;
rng_cooked[598] = 5896236396443472108;
rng_cooked[599] = 8465043815351752425;
rng_cooked[600] = 7329020396871624740;
rng_cooked[601] = 8915471717014488588;
rng_cooked[602] = 2944902635677463047;
rng_cooked[603] = 7052079073493465134;
rng_cooked[604] = 8382142935188824023;
rng_cooked[605] = 9103922860780351547;
rng_cooked[606] = 4152330101494654406;
Seed(1); Seed(1);
} }
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