mirror of
https://github.com/henrydcase/pqc.git
synced 2024-11-27 09:51:30 +00:00
147 lines
22 KiB
C
147 lines
22 KiB
C
|
/*************************************************************************************
|
||
|
|
* qTESLA: an efficient post-quantum signature scheme based on the R-LWE problem
|
||
|
|
*
|
||
|
|
* Abstract: constants for the NTT
|
||
|
|
**************************************************************************************/
|
||
|
|
|
||
|
|
#include "params.h"
|
||
|
|
#include "poly.h"
|
||
|
|
#include <stdint.h>
|
||
|
|
|
||
|
|
|
||
|
|
const poly PQCLEAN_QTESLAPI_CLEAN_zeta = {
|
||
|
|
|
||
|
|
184007114, 341297933, 172127038, 306069179, 260374244, 269720605, 20436325, 2157599, 36206659, 61987110, 112759694, 92762708, 278504038, 139026960, 183642748, 298230187,
|
||
|
|
37043356, 230730845, 107820937, 97015745, 156688276, 38891102, 170244636, 259345227, 170077366, 141586883, 100118513, 328793523, 289946488, 263574185, 132014089, 14516260,
|
||
|
|
87424978, 192691578, 190961717, 262687761, 333967048, 12957952, 326574509, 273585413, 151922543, 195893203, 261889302, 120488377, 169571794, 44896463, 128576039, 68257019,
|
||
|
|
20594664, 44164717, 36060712, 256009818, 172063915, 211967562, 135533785, 104908181, 203788155, 52968398, 123297488, 44711423, 329131026, 245797804, 220629853, 200431766,
|
||
|
|
92905498, 215466666, 227373088, 120513729, 274875394, 236766448, 84216704, 97363940, 224003799, 167341181, 333540791, 225846253, 290150331, 137934911, 101127339, 95054535,
|
||
|
|
7072757, 58600117, 264117725, 207480694, 268253444, 292044590, 166300682, 256585624, 133577520, 119707476, 58169614, 188489502, 184778640, 156039906, 286669262, 112658784,
|
||
|
|
89254003, 266568758, 290599527, 80715937, 180664712, 225980378, 103512701, 304604206, 327443646, 92082345, 296093912, 144843084, 309484036, 329737605, 141656867, 264967053,
|
||
|
|
227847682, 328674715, 208663554, 309005608, 315790590, 182996330, 333212133, 203436199, 13052895, 23858345, 173478900, 97132319, 57066271, 70747422, 202106993, 309870606,
|
||
|
|
56390934, 336126437, 189147643, 219236223, 293351741, 305570320, 18378834, 336914091, 59506067, 277923611, 217306643, 129369847, 308113789, 56954705, 190254906, 199465001,
|
||
|
|
119331054, 143640880, 17590914, 309468163, 172483421, 153376031, 58864560, 70957183, 237697179, 116097341, 62196815, 80692520, 310642530, 328595292, 12121494, 71200620,
|
||
|
|
200016287, 235006678, 21821056, 102505389, 183332133, 59734849, 283127491, 313646880, 30359439, 163176989, 50717815, 100183661, 322975554, 92821217, 283119421, 34453836,
|
||
|
|
303758926, 89460722, 147514506, 175603941, 76494101, 220775631, 304963431, 38821441, 217317485, 301302769, 328727631, 101476595, 270750726, 253708871, 176201368, 324059659,
|
||
|
|
114780906, 304156831, 273708648, 144095014, 263545324, 179240984, 187811389, 244886526, 202581571, 209325648, 117231636, 182195945, 217965216, 252295904, 332003328, 46153749,
|
||
|
|
334740528, 62618402, 301165510, 283016648, 212224416, 234984074, 107363471, 125430881, 172821269, 270409387, 156316970, 311644197, 50537885, 248376507, 154072039, 331539029,
|
||
|
|
48454192, 267029920, 225963915, 16753350, 76840946, 226444843, 108106635, 154887261, 326283837, 101291223, 204194230, 54014060, 104099734, 104245071, 260949411, 333985274,
|
||
|
|
291682234, 328313139, 29607387, 106291750, 162553334, 275058303, 64179189, 263147140, 15599810, 325103190, 137254480, 66787068, 4755224, 308520011, 181897417, 325162685,
|
||
|
|
221099032, 131741505, 147534370, 131533267, 144073688, 166398146, 155829711, 252509898, 251605008, 323547097, 216038649, 232629333, 95137254, 287931575, 235583527, 32386598,
|
||
|
|
76722491, 60825791, 138354268, 400761, 51907675, 197369064, 319840588, 98618414, 84343982, 108113946, 314679670, 134518178, 64988900, 4333172, 295712261, 200707216,
|
||
|
|
147647414, 318013383, 77682006, 92518996, 42154619, 87464521, 285037574, 332936592, 62635246, 5534097, 308862707, 91097989, 269726589, 273280832, 251670430, 95492698,
|
||
|
|
21676891, 182964692, 177187742, 294825274, 85128609, 273594538, 93115857, 116308166, 312212122, 18665807, 32192823, 313249299, 98777368, 273984239, 312125377, 205655336,
|
||
|
|
264861277, 178920022, 341054719, 232663249, 173564046, 176591124, 157537342, 305058098, 277279130, 170028356, 228573747, 31628995, 175280663, 37304323, 122111670, 210658936,
|
||
|
|
175704183, 314649282, 325535066, 266783938, 301319742, 327923297, 279787306, 304633001, 304153402, 292839078, 147442886, 94150133, 40461238, 221384781, 269671052, 265445273,
|
||
|
|
208370149, 160863546, 287765159, 339146643, 129600429, 96192870, 113146118, 95879915, 216708053, 285201955, 67756451, 79028039, 309141895, 138447809, 212246614, 12641916,
|
||
|
|
243544995, 33459809, 76979779, 71155723, 152521243, 200750888, 36425947, 339074467, 319204591, 188312744, 266105966, 280016981, 183723313, 238915015, 23277613, 160934729,
|
||
|
|
200611286, 163282810, 297928823, 226921588, 86839172, 145317111, 202226936, 51887320, 318474782, 282270658, 221219795, 207597867, 132089009, 334627662, 163952597, 67529059,
|
||
|
|
173759630, 234865017, 255217646, 277806158, 61964704, 216678166, 96126463, 39218331, 70028373, 4899005, 238135514, 242700690, 284680271, 81041980, 332906491, 463527,
|
||
|
|
299280916, 204600651, 149654879, 222229829, 26825157, 81825189, 127990873, 200962599, 16149163, 108812393, 217708971, 152638110, 28735779, 5272794, 19720409, 231726324,
|
||
|
|
49854178, 118319174, 185669526, 223407181, 243138094, 259020958, 308825615, 164156486, 341391280, 192526841, 97036052, 279986894, 20263748, 32228956, 43816679, 343421811,
|
||
|
|
124320208, 3484106, 31711063, 147679160, 195369505, 54243678, 279088595, 149119313, 301997352, 244557309, 19700779, 138872683, 230523717, 113507709, 135291486, 313025300,
|
||
|
|
254384479, 219815764, 253574481, 220646316, 124744817, 123915741, 325760383, 123516396, 138140410, 154060994, 314730104, 57286356, 222353426, 76630003, 145380041, 52039855,
|
||
|
|
229881219, 332902036, 152308429, 95071889, 124799350, 270141530, 47897266, 119620601, 133269057, 138561303, 341820265, 66049665, 273409631, 304306012, 212490958, 210388603,
|
||
|
|
277413768, 280793261, 223131872, 162407285, 44911970, 316685837, 298709373, 252812339, 230786851, 230319350, 56863422, 341141914, 177295413, 248222411, 215148650, 97970603,
|
||
|
|
291678055, 161911155, 339645428, 206445182, 31895080, 279676698, 78257775, 268845232, 92545841, 336725589, 47384597, 62216335, 82290365, 89893410, 266117967, 791867,
|
||
|
|
28042243, 110563426, 183316855, 281174508, 166338432, 86326996, 261473803, 164647535, 84749290, 157518777, 214336587, 72257047, 13358702, 229010735, 204196474, 179927635,
|
||
|
|
21786785, 330554989, 164559635, 144505300, 280425045, 324057501, 268227440, 323362437, 26891539, 228523003, 166709094, 61174973, 13532911, 42168701, 133044957, 158219357,
|
||
|
|
220115616, 15174468, 281706353, 283813987, 263212325, 289818392, 247170937, 276072317, 197581495, 33713097, 181695825, 96829354, 32991226, 228583784, 4040287, 65188717,
|
||
|
|
258204083, 96366799, 176298395, 341574369, 306098123, 218746932, 29191888, 311810435, 305844323, 31614267, 28130094, 72716426, 38568041, 197579396, 14876445, 228525674,
|
||
|
|
294569685, 2451649, 165929882, 112195415, 204786047, 138216235, 3438132, 126150615, 59754608, 158965324, 268160978, 266231264, 244422459, 306155336, 218178824, 301806695,
|
||
|
|
208837335, 212153467, 209725081, 269355286, 295716530, 13980580, 264284060, 301901789, 275319045, 107139083, 4006959, 143908623, 139848274, 25357089, 21607040, 340818603,
|
||
|
|
91260932, 198869267, 45119941, 224113252, 269556513, 42857483, 268925602, 188501450, 235382337, 324688793, 113056679, 177232352, 98280013, 117743899, 87369665, 330110286,
|
||
|
|
310895756, 268425063, 27568325, 266303142, 181405304, 65876631, 246283438, 127636847, 16153922, 210256884, 9257227, 147272724, 235571791, 340876897, 31558760, 224463520,
|
||
|
|
229909008, 40943950, 263351999, 14865952, 27279162, 51980445, 99553161, 108121152, 145230283, 217402431, 84060866, 190168688, 46894008, 205718237, 296935065, 331646198,
|
||
|
|
59709076, 265829428, 214503586, 310273189, 86051634, 247210969, 275872780, 55395653, 302717617, 155583500, 207999042, 293597246, 305796948, 139332832, 198434142, 104197059,
|
||
|
|
320317582, 101819543, 70813687, 43594385, 241913829, 210308279, 298735610, 151599086, 92093482, 24654121, 52528801, 134711941, 324580593, 293101038, 121757877, 323940193,
|
||
|
|
276114751, 33522997, 218880483, 46953248, 33126382, 294367143, 161595040, 208968904, 129221110, 323693686, 234366848, 50155901, 123936119, 72127416, 34243899, 171824126,
|
||
|
|
26019236, 93997235, 28452989, 24219933, 188331672, 181161011, 146526219, 186502916, 258266311, 207146754, 206589869, 189836867, 107762500, 129011227, 222324073, 331319091,
|
||
|
|
36618753, 141615400, 273319528, 246222615, 156139193, 290104141, 154851520, 310226922, 60187406, 73704819, 225899604, 87931539, 142487643, 152682959, 45891249, 212048348,
|
||
|
|
148547910, 207745063, 4405848, 179269204, 216233362, 230307487, 303352796, 41616117, 47140231, 13452075, 94626849, 48892822, 78453712, 214721933, 300785835, 1512599,
|
||
|
|
173577933, 163255132, 239883248, 205714288, 306118903, 106953300, 150085654, 77068348, 246390345, 199698311, 280165539, 256497526, 194381508, 78125966, 168327358, 180735395,
|
||
|
|
145983352, 243342736, 198463602, 83165996, 286431792, 22885329, 271516106, 66137359, 243561376, 324886778, 149497212, 24531379, 32857894, 62778029, 56960216, 224996784,
|
||
|
|
129315394, 81068505, 277744916, 215817366, 117205172, 195090165, 287841567, 57750901, 162987791, 259309908, 135370005, 194853269, 236792732, 219249166, 42349628, 27805769,
|
||
|
|
186263338, 310699018, 6491000, 228545163, 315890485, 22219119, 144392189, 15505150, 87848372, 155973124, 20446561, 177725890, 226669021, 205315635, 269580641, 133696452,
|
||
|
|
189388357, 314652032, 317225560, 304194584, 157633737, 298144493, 185785271, 337434647, 559796, 4438732, 249110619, 184824722, 221490126, 205632858, 172362641, 176702767,
|
||
|
|
276712118, 296075254, 111221225, 259809961, 15438443, 198021462, 134378223, 162261445, 170746654, 256890644, 125206341, 307078324, 279553989, 170124925, 296845387, 188226544,
|
||
|
|
295437875, 315053523, 172025817, 279046062, 189967278, 158662482, 192989875, 326540363, 135446089, 98631439, 257379933, 325004289, 26554274, 62190249, 228828648, 274361329,
|
||
|
|
18518762, 184854759, 210189061, 186836398, 230859454, 206912014, 201250021, 276332768, 119984643, 91358832, 325377399, 69085488, 307352479, 308876137, 208756649, 32865966,
|
||
|
|
152976045, 207821125, 66426662, 67585526, 118828370, 3107192, 322037257, 146029104, 106553806, 266958791, 89567376, 153815988, 90786397, 271042585, 203781777, 169087756,
|
||
|
|
315867500, 306916544, 7528726, 327732739, 227901532, 2263402, 14357894, 269740764, 322090105, 59838559, 298337502, 292797139, 337635349, 66476915, 75612762, 328089387,
|
||
|
|
155232910, 87069405, 36163560, 273715413, 321325749, 218096743, 308178877, 21861281, 180676741, 135208372, 119891712, 122406065, 267537516, 341350322, 87789083, 196340943,
|
||
|
|
217070591, 83564209, 159382818, 253921239, 184673854, 213569600, 194031064, 35973794, 18071215, 250854127, 115090766, 147707843, 330337973, 266187164, 27853295, 296801215,
|
||
|
|
254949704, 43331190, 73930201, 35703461, 119780800, 216998106, 12687572, 250863345, 243908221, 330555990, 296216993, 202100577, 111307303, 151049872, 103451600, 237710099,
|
||
|
|
78658022, 121490075, 134292528, 88277916, 177315676, 186629690, 77848818, 211822377, 145696683, 289190386, 274721999, 328391282, 218772820, 91324151, 321725584, 277577004,
|
||
|
|
65732866, 275538085, 144429136, 204062923, 177280727, 214204692, 264758257, 169151951, 335535576, 334002493, 281131703, 305997258, 310527888, 136973519, 216764406, 235954329,
|
||
|
|
254049694, 285174861, 264316834, 11792643, 149333889, 214699018, 261331547, 317320791, 24527858, 118790777, 264146824, 174296812, 332779737, 94199786, 288227027, 172048372,
|
||
|
|
};
|
||
|
|
|
||
|
|
const poly PQCLEAN_QTESLAPI_CLEAN_zetainv = {
|
||
|
|
|
||
|
|
55349550, 249376791, 10796840, 169279765, 79429753, 224785800, 319048719, 26255786, 82245030, 128877559, 194242688, 331783934, 79259743, 58401716, 89526883, 107622248,
|
||
|
|
126812171, 206603058, 33048689, 37579319, 62444874, 9574084, 8041001, 174424626, 78818320, 129371885, 166295850, 139513654, 199147441, 68038492, 277843711, 65999573,
|
||
|
|
21850993, 252252426, 124803757, 15185295, 68854578, 54386191, 197879894, 131754200, 265727759, 156946887, 166260901, 255298661, 209284049, 222086502, 264918555, 105866478,
|
||
|
|
240124977, 192526705, 232269274, 141476000, 47359584, 13020587, 99668356, 92713232, 330889005, 126578471, 223795777, 307873116, 269646376, 300245387, 88626873, 46775362,
|
||
|
|
315723282, 77389413, 13238604, 195868734, 228485811, 92722450, 325505362, 307602783, 149545513, 130006977, 158902723, 89655338, 184193759, 260012368, 126505986, 147235634,
|
||
|
|
255787494, 2226255, 76039061, 221170512, 223684865, 208368205, 162899836, 321715296, 35397700, 125479834, 22250828, 69861164, 307413017, 256507172, 188343667, 15487190,
|
||
|
|
267963815, 277099662, 5941228, 50779438, 45239075, 283738018, 21486472, 73835813, 329218683, 341313175, 115675045, 15843838, 336047851, 36660033, 27709077, 174488821,
|
||
|
|
139794800, 72533992, 252790180, 189760589, 254009201, 76617786, 237022771, 197547473, 21539320, 340469385, 224748207, 275991051, 277149915, 135755452, 190600532, 310710611,
|
||
|
|
134819928, 34700440, 36224098, 274491089, 18199178, 252217745, 223591934, 67243809, 142326556, 136664563, 112717123, 156740179, 133387516, 158721818, 325057815, 69215248,
|
||
|
|
114747929, 281386328, 317022303, 18572288, 86196644, 244945138, 208130488, 17036214, 150586702, 184914095, 153609299, 64530515, 171550760, 28523054, 48138702, 155350033,
|
||
|
|
46731190, 173451652, 64022588, 36498253, 218370236, 86685933, 172829923, 181315132, 209198354, 145555115, 328138134, 83766616, 232355352, 47501323, 66864459, 166873810,
|
||
|
|
171213936, 137943719, 122086451, 158751855, 94465958, 339137845, 343016781, 6141930, 157791306, 45432084, 185942840, 39381993, 26351017, 28924545, 154188220, 209880125,
|
||
|
|
73995936, 138260942, 116907556, 165850687, 323130016, 187603453, 255728205, 328071427, 199184388, 321357458, 27686092, 115031414, 337085577, 32877559, 157313239, 315770808,
|
||
|
|
301226949, 124327411, 106783845, 148723308, 208206572, 84266669, 180588786, 285825676, 55735010, 148486412, 226371405, 127759211, 65831661, 262508072, 214261183, 118579793,
|
||
|
|
286616361, 280798548, 310718683, 319045198, 194079365, 18689799, 100015201, 277439218, 72060471, 320691248, 57144785, 260410581, 145112975, 100233841, 197593225, 162841182,
|
||
|
|
175249219, 265450611, 149195069, 87079051, 63411038, 143878266, 97186232, 266508229, 193490923, 236623277, 37457674, 137862289, 103693329, 180321445, 169998644, 342063978,
|
||
|
|
42790742, 128854644, 265122865, 294683755, 248949728, 330124502, 296436346, 301960460, 40223781, 113269090, 127343215, 164307373, 339170729, 135831514, 195028667, 131528229,
|
||
|
|
297685328, 190893618, 201088934, 255645038, 117676973, 269871758, 283389171, 33349655, 188725057, 53472436, 187437384, 97353962, 70257049, 201961177, 306957824, 12257486,
|
||
|
|
121252504, 214565350, 235814077, 153739710, 136986708, 136429823, 85310266, 157073661, 197050358, 162415566, 155244905, 319356644, 315123588, 249579342, 317557341, 171752451,
|
||
|
|
309332678, 271449161, 219640458, 293420676, 109209729, 19882891, 214355467, 134607673, 181981537, 49209434, 310450195, 296623329, 124696094, 310053580, 67461826, 19636384,
|
||
|
|
221818700, 50475539, 18995984, 208864636, 291047776, 318922456, 251483095, 191977491, 44840967, 133268298, 101662748, 299982192, 272762890, 241757034, 23258995, 239379518,
|
||
|
|
145142435, 204243745, 37779629, 49979331, 135577535, 187993077, 40858960, 288180924, 67703797, 96365608, 257524943, 33303388, 129072991, 77747149, 283867501, 11930379,
|
||
|
|
46641512, 137858340, 296682569, 153407889, 259515711, 126174146, 198346294, 235455425, 244023416, 291596132, 316297415, 328710625, 80224578, 302632627, 113667569, 119113057,
|
||
|
|
312017817, 2699680, 108004786, 196303853, 334319350, 133319693, 327422655, 215939730, 97293139, 277699946, 162171273, 77273435, 316008252, 75151514, 32680821, 13466291,
|
||
|
|
256206912, 225832678, 245296564, 166344225, 230519898, 18887784, 108194240, 155075127, 74650975, 300719094, 74020064, 119463325, 298456636, 144707310, 252315645, 2757974,
|
||
|
|
321969537, 318219488, 203728303, 199667954, 339569618, 236437494, 68257532, 41674788, 79292517, 329595997, 47860047, 74221291, 133851496, 131423110, 134739242, 41769882,
|
||
|
|
125397753, 37421241, 99154118, 77345313, 75415599, 184611253, 283821969, 217425962, 340138445, 205360342, 138790530, 231381162, 177646695, 341124928, 49006892, 115050903,
|
||
|
|
328700132, 145997181, 305008536, 270860151, 315446483, 311962310, 37732254, 31766142, 314384689, 124829645, 37478454, 2002208, 167278182, 247209778, 85372494, 278387860,
|
||
|
|
339536290, 114992793, 310585351, 246747223, 161880752, 309863480, 145995082, 67504260, 96405640, 53758185, 80364252, 59762590, 61870224, 328402109, 123460961, 185357220,
|
||
|
|
210531620, 301407876, 330043666, 282401604, 176867483, 115053574, 316685038, 20214140, 75349137, 19519076, 63151532, 199071277, 179016942, 13021588, 321789792, 163648942,
|
||
|
|
139380103, 114565842, 330217875, 271319530, 129239990, 186057800, 258827287, 178929042, 82102774, 257249581, 177238145, 62402069, 160259722, 233013151, 315534334, 342784710,
|
||
|
|
77458610, 253683167, 261286212, 281360242, 296191980, 6850988, 251030736, 74731345, 265318802, 63899879, 311681497, 137131395, 3931149, 181665422, 51898522, 245605974,
|
||
|
|
128427927, 95354166, 166281164, 2434663, 286713155, 113257227, 112789726, 90764238, 44867204, 26890740, 298664607, 181169292, 120444705, 62783316, 66162809, 133187974,
|
||
|
|
131085619, 39270565, 70166946, 277526912, 1756312, 205015274, 210307520, 223955976, 295679311, 73435047, 218777227, 248504688, 191268148, 10674541, 113695358, 291536722,
|
||
|
|
198196536, 266946574, 121223151, 286290221, 28846473, 189515583, 205436167, 220060181, 17816194, 219660836, 218831760, 122930261, 90002096, 123760813, 89192098, 30551277,
|
||
|
|
208285091, 230068868, 113052860, 204703894, 323875798, 99019268, 41579225, 194457264, 64487982, 289332899, 148207072, 195897417, 311865514, 340092471, 219256369, 154766,
|
||
|
|
299759898, 311347621, 323312829, 63589683, 246540525, 151049736, 2185297, 179420091, 34750962, 84555619, 100438483, 120169396, 157907051, 225257403, 293722399, 111850253,
|
||
|
|
323856168, 338303783, 314840798, 190938467, 125867606, 234764184, 327427414, 142613978, 215585704, 261751388, 316751420, 121346748, 193921698, 138975926, 44295661, 343113050,
|
||
|
|
10670086, 262534597, 58896306, 100875887, 105441063, 338677572, 273548204, 304358246, 247450114, 126898411, 281611873, 65770419, 88358931, 108711560, 169816947, 276047518,
|
||
|
|
179623980, 8948915, 211487568, 135978710, 122356782, 61305919, 25101795, 291689257, 141349641, 198259466, 256737405, 116654989, 45647754, 180293767, 142965291, 182641848,
|
||
|
|
320298964, 104661562, 159853264, 63559596, 77470611, 155263833, 24371986, 4502110, 307150630, 142825689, 191055334, 272420854, 266596798, 310116768, 100031582, 330934661,
|
||
|
|
131329963, 205128768, 34434682, 264548538, 275820126, 58374622, 126868524, 247696662, 230430459, 247383707, 213976148, 4429934, 55811418, 182713031, 135206428, 78131304,
|
||
|
|
73905525, 122191796, 303115339, 249426444, 196133691, 50737499, 39423175, 38943576, 63789271, 15653280, 42256835, 76792639, 18041511, 28927295, 167872394, 132917641,
|
||
|
|
221464907, 306272254, 168295914, 311947582, 115002830, 173548221, 66297447, 38518479, 186039235, 166985453, 170012531, 110913328, 2521858, 164656555, 78715300, 137921241,
|
||
|
|
31451200, 69592338, 244799209, 30327278, 311383754, 324910770, 31364455, 227268411, 250460720, 69982039, 258447968, 48751303, 166388835, 160611885, 321899686, 248083879,
|
||
|
|
91906147, 70295745, 73849988, 252478588, 34713870, 338042480, 280941331, 10639985, 58539003, 256112056, 301421958, 251057581, 265894571, 25563194, 195929163, 142869361,
|
||
|
|
47864316, 339243405, 278587677, 209058399, 28896907, 235462631, 259232595, 244958163, 23735989, 146207513, 291668902, 343175816, 205222309, 282750786, 266854086, 311189979,
|
||
|
|
107993050, 55645002, 248439323, 110947244, 127537928, 20029480, 91971569, 91066679, 187746866, 177178431, 199502889, 212043310, 196042207, 211835072, 122477545, 18413892,
|
||
|
|
161679160, 35056566, 338821353, 276789509, 206322097, 18473387, 327976767, 80429437, 279397388, 68518274, 181023243, 237284827, 313969190, 15263438, 51894343, 9591303,
|
||
|
|
82627166, 239331506, 239476843, 289562517, 139382347, 242285354, 17292740, 188689316, 235469942, 117131734, 266735631, 326823227, 117612662, 76546657, 295122385, 12037548,
|
||
|
|
189504538, 95200070, 293038692, 31932380, 187259607, 73167190, 170755308, 218145696, 236213106, 108592503, 131352161, 60559929, 42411067, 280958175, 8836049, 297422828,
|
||
|
|
11573249, 91280673, 125611361, 161380632, 226344941, 134250929, 140995006, 98690051, 155765188, 164335593, 80031253, 199481563, 69867929, 39419746, 228795671, 19516918,
|
||
|
|
167375209, 89867706, 72825851, 242099982, 14848946, 42273808, 126259092, 304755136, 38613146, 122800946, 267082476, 167972636, 196062071, 254115855, 39817651, 309122741,
|
||
|
|
60457156, 250755360, 20601023, 243392916, 292858762, 180399588, 313217138, 29929697, 60449086, 283841728, 160244444, 241071188, 321755521, 108569899, 143560290, 272375957,
|
||
|
|
331455083, 14981285, 32934047, 262884057, 281379762, 227479236, 105879398, 272619394, 284712017, 190200546, 171093156, 34108414, 325985663, 199935697, 224245523, 144111576,
|
||
|
|
153321671, 286621872, 35462788, 214206730, 126269934, 65652966, 284070510, 6662486, 325197743, 38006257, 50224836, 124340354, 154428934, 7450140, 287185643, 33705971,
|
||
|
|
141469584, 272829155, 286510306, 246444258, 170097677, 319718232, 330523682, 140140378, 10364444, 160580247, 27785987, 34570969, 134913023, 14901862, 115728895, 78609524,
|
||
|
|
201919710, 13838972, 34092541, 198733493, 47482665, 251494232, 16132931, 38972371, 240063876, 117596199, 162911865, 262860640, 52977050, 77007819, 254322574, 230917793,
|
||
|
|
56907315, 187536671, 158797937, 155087075, 285406963, 223869101, 209999057, 86990953, 177275895, 51531987, 75323133, 136095883, 79458852, 284976460, 336503820, 248522042,
|
||
|
|
242449238, 205641666, 53426246, 117730324, 10035786, 176235396, 119572778, 246212637, 259359873, 106810129, 68701183, 223062848, 116203489, 128109911, 250671079, 143144811,
|
||
|
|
122946724, 97778773, 14445551, 298865154, 220279089, 290608179, 139788422, 238668396, 208042792, 131609015, 171512662, 87566759, 307515865, 299411860, 322981913, 275319558,
|
||
|
|
215000538, 298680114, 174004783, 223088200, 81687275, 147683374, 191654034, 69991164, 17002068, 330618625, 9609529, 80888816, 152614860, 150884999, 256151599, 329060317,
|
||
|
|
211562488, 80002392, 53630089, 14783054, 243458064, 201989694, 173499211, 84231350, 173331941, 304685475, 186888301, 246560832, 235755640, 112845732, 306533221, 45346390,
|
||
|
|
159933829, 204549617, 65072539, 250813869, 230816883, 281589467, 307369918, 341418978, 323140252, 73855972, 83202333, 37507398, 171449539, 2278644, 159569463, 171528205,
|
||
|
|
};
|