double exp_5[] = {1.3095156333559286, 4.6473757920954286, 3.3996509682578022, 2.1629460675411276, 5.1632939030418212, 1.7249128500222128, 6.6984607340046098, 13.145368344518163, 3.2381389865103727, 1.7085499899502117, 3.6115080477680239, 1.5280885254937764, 2.3849242816929146, 1.0886577253519385, 4.2692527013077584, 0.15800408945649025, 7.043626916283964, 1.2866498078435809, 3.8533690475274556, 7.2098246498000567, 3.3383403786377261, 17.266797098765167, 1.3516944817058443, 17.976205619699101, 6.2964547002525624, 4.2146401905062802, 12.040431141795869, 15.293063466028681, 0.14944963495136046, 5.9467595538668681, 6.1957794312758177, 7.7938969249735601, 1.0341923629815946, 7.8146188836023347, 1.6380782859072276, 1.1110542902892342, 13.322385427606262, 7.6175074239450682, 1.3420616898214073, 7.0248408305487899, 0.36955016150336295, 5.7184806372051309, 0.62879804905551118, 3.6630808876448846, 4.8062070416078431, 3.4922631162969662, 4.6114038592872211, 0.84088405666886112, 7.0170139894592252, 2.6011068381445761, 1.0730311759006876, 9.5789933886600949, 7.3636802491566344, 1.8787565975688469, 7.7880160498874931, 0.65760150347242097, 1.6993849516942729, 12.69614530796353, 7.920162959597647, 0.65488077960267022, 3.1711550307676624, 9.7777613320713392, 6.8245821340134736, 7.4727229602269993, 0.70291147510761243, 3.1860868070314439, 2.748788549052164, 3.1177565134416438, 3.6615119253495765, 14.849654215515677, 7.6399994442088381, 1.2614780865368438, 1.1172037606246785, 5.2189535337870829, 11.477020997052394, 3.7828747740367836, 4.2699720036448729, 0.49661663423691094, 0.55202337139664404, 0.010582600076355806, 0.1193761693416775, 0.28539978862154269, 1.3793086163077795, 3.7348331289782841, 3.6941857079924652, 0.85988134069042599, 1.2754275489614519, 2.6714876158938612, 1.4382280477380416, 1.0772959827562061, 2.0153163029546364, 3.6488389957678997, 1.9299686937788034, 19.512059586396113, 11.389346305197268, 1.8147985577974128, 3.7090136953854493, 0.38335687725288864, 13.490508687435504, 0.11097453832106471, 7.594661458583678, 6.9265800463517424, 3.9118326714147784, 1.6370305144777852, 17.548186219804865, 7.5509586817431904, 2.8029818910998965, 11.700770611008664, 1.8738559565962607, 7.5665821880438875, 0.2038110894659303, 4.8252507505401319, 6.645646450335434, 7.995161307993639, 2.7480759970117723, 3.7203183646798998, 0.84114164277720382, 15.087613692604902, 3.4998131137102142, 7.6731146930464424, 3.9475704255556101, 4.4817681686622901, 1.0426551657548147, 1.2148998349602043, 0.61956287382084252, 4.2856733319467661, 6.1997116991288479, 12.898112982753855, 3.2185601763434919, 0.83959577477184699, 2.7236679776450061, 0.10614648820210613, 17.35052666690812, 0.75592385555485098, 7.0563531203703631, 9.2109055324420712, 1.3318097710717114, 6.1686444112814236, 1.5419513803973253, 0.082535086205971706, 0.092703696304035882, 5.6947779953269526, 18.040452989804344, 4.4417769034008794, 9.6233788158544815, 16.184640216584533, 0.34343429665310321, 3.6368422097437842, 12.357306315661834, 0.424369880885404, 2.2889639811239664, 11.345188184591661, 0.91200796455956246, 5.4376086662097078, 1.9687384862233659, 3.5176498312170903, 8.4133566754916416, 1.3510608883126816, 0.78770367677963182, 0.82639424589833155, 2.0283168714413304, 4.019738819618631, 0.32763083210773203, 5.7627666957443457, 15.968043852514553, 0.57062500909102654, 1.8720859802136456, 0.55894279225336785, 2.8463131837393076, 2.4171644151706455, 0.68024357480890574, 1.2134249314785031, 5.4607718221882919, 3.8141306899584619, 12.150112961152962, 2.4718691549540543, 3.1439586356320062, 12.558703956070811, 3.306271007657676, 0.86354184468444273, 0.77772082625026973, 19.237267665073155, 0.41763917963710395, 4.2426171875960961, 10.291980383029369, 7.1652428357965539, 3.963270418174357, 6.3507707343746764, 2.8687760003929825, 4.6600118246288673, 0.93192397378365466, 2.5956027900563443, 1.5526333038154341, 0.87161299706731499, 1.8360333555460095, 9.1132102324403252, 2.8148310401291061, 1.9174452630765761, 9.7554132065714843, 0.10137359867932959, 2.7792352691634132, 10.134501039197962, 7.6705822377804687, 2.4037036809322574, 1.2527693231372501, 0.90896441290536367, 3.6294426331018848, 9.9769042899885498, 0.63230817897971003, 2.2093339213267811, 26.478285452399927, 3.460813342296964, 7.0874710417684366, 18.130550260283297, 6.3156000030769563, 10.725004479408188, 7.4390549595457935, 14.785094764565198, 7.1194787203771259, 3.2580444366347381, 2.2049256657557441, 0.066460853146848922, 1.963156396211327, 5.8279779054019336, 7.4219681304895992, 8.5915552807910665, 1.3441807931589034, 1.4379093592274541, 7.3601368447770561, 0.71995171490200582, 1.4059826363361534, 4.3903153418277538, 5.1319965620482666, 7.1487151369968327, 4.5403550214414086, 2.8095640065275393, 5.9464449638033194, 0.76909222626383089, 8.7945299640672463, 4.2531170288895623, 4.0316602116852422, 6.1022160622576784, 8.2935578201889708, 17.983220683021347, 0.63476640140575924, 0.36065986717139203, 3.7861305216583481, 1.646679878379627, 2.0664310470286003, 2.6858102925654839, 2.6452417186238653, 6.415898226018351, 2.5459102610457975, 5.3788083765958898, 4.8826387421627455, 0.28336911225898032, 5.1991110863648018, 0.7426520396867714, 2.9237253367672107, 3.4538416809874577, 0.21203779276517487, 4.1421618750966438, 11.70792836200923, 12.764259468200262, 11.511419490955724, 0.71136800699287683, 8.172246509315146, 4.6737208654609468, 4.445516007423052, 1.6782441785423563, 5.1206683979745726, 30.849157541841059, 4.2798171613094134, 1.4017560481029925, 0.642744143012003, 7.9700791491516281, 4.2105067204442221, 13.386878821698165, 7.6354768039791079, 5.221897100733468, 1.8059453909660625, 3.1004181646768085, 2.0734136621840245, 11.003600112197685, 7.961233299295233, 3.7030230065733289, 1.397818117244686, 3.0186747305167372, 3.3460953632726738, 3.3991533398988958, 4.0656323275007455, 0.17911088494741964, 2.8904161554286159, 6.5321164121870936, 4.264951354995409, 3.4392194037228094, 3.021101471733354, 4.2587882502901238, 20.945425106383091, 0.098264477359698912, 10.657197488314631, 4.0174754830787798, 2.5670211496179709, 7.8996648537339968, 5.9212002953939802, 9.5695256209938506, 6.6632671702421753, 2.9352436806766642, 0.739001553810265, 2.9061833537927217, 2.5643614114809337, 1.0040787835339553, 5.9661610321006897, 3.8856831822435307, 3.1035149280333978, 1.6076509274905761, 0.063190406296305721, 2.6933097192184503, 4.3227460063625687, 2.8585032566900508, 1.2924638670207831, 4.7652485286550945, 1.166683143679951, 13.418081899936974, 0.1094481430018982, 10.399239418419588, 0.17560019399481835, 1.6101699142875483, 2.7638400116611845, 3.9355225646533736, 11.228374397127485, 1.520642868256443, 7.5024558576490961, 8.0243233105645082, 13.297003841396908, 1.8713179022852122, 6.8908853738962872, 2.3344105984493564, 6.9350495268808903, 3.4462131293407889, 6.0173665683961364, 4.0642402368582058, 5.4444270757909443, 1.259903659767051, 14.890603153938212, 0.09545637885380201, 0.15816510276971885, 15.448034185311798, 3.2013438098152847, 7.1218042793445644, 22.236803687714634, 3.3919818889323978, 0.74751981916626176, 8.7299056488993596, 0.54168396705026745, 3.4751955496828129, 8.4712839593255147, 3.8708610099286762, 6.7884022449594692, 1.7136716573926445, 2.7874825051349288, 2.1465752856083062, 1.4006356993096412, 4.4260787842084106, 7.7105183902462358, 5.0480967469803071, 3.917055325087937, 0.17844924734234849, 2.1714850113424933, 2.8495052636200713, 0.78089229105149915, 4.7072053432892949, 6.7872704716991947, 14.888523055592406, 2.6602063711581456, 1.3479185126288673, 7.0487167029624453, 1.3809482838824221, 11.688677684618028, 6.6768895159589716, 1.0487797219258859, 4.1777586514451572, 2.5578693678786517, 4.2224459373191365, 5.2030722878671956, 4.3497659121776531, 0.51596221614445648, 9.5245990216810021, 14.903013147041337, 0.15269829323794168, 0.31123071411700265, 2.5110670441905758, 7.5026688385921272, 1.0951930808971768, 11.146604913406357, 2.463600475393755, 4.9969455400661076, 1.2118617805152314, 2.5621615755505638, 0.12990400033619071, 4.6566790946714072, 4.2928320460691243, 0.13030569871679726, 13.089613244381738, 9.4923042471879597, 3.4356566634419758, 23.791275911546737, 1.915228823952642, 4.1242849888417403, 14.099196621860052, 2.0105161196153256, 8.2908711364473149, 0.85609464484182318, 5.5013003922089663, 5.3669296422827486, 0.39272858005136607, 7.8554993081336111, 8.5106981103630215, 6.9941486150096024, 2.4832748960446414, 1.174289547449971, 3.8339741522466877, 5.3047410625622007, 5.8897528402700328, 4.8138441667367493, 1.4445470035649313, 0.86120373578963627, 5.5410476876810506, 0.5134110015446427, 8.4786894768534165, 8.8536592248892703, 6.1119539718309213, 1.6431567513186682, 6.8217190316151886, 1.8138950763110795, 7.6610554448188717, 10.464282796576335, 16.205992811069038, 11.004508919094603, 4.6985755994339256, 4.8962677380830613, 7.265916983744515, 6.0906582986175355, 7.0842939158106688, 15.126475428571124, 0.27181426423432453, 3.2457754908299834, 0.44458384750008895, 11.10000392446031, 2.2348466914071365, 7.3640923171450883, 13.19671173729715, 9.0129959684649972, 3.4487837552459064, 0.71632993998625794, 6.8640171127340057, 7.5437017155629063, 11.472978331056918, 5.6573131474446097, 1.6642659301730114, 1.8232863155547019, 0.86925309364774339, 3.8950015054607121, 4.0490868561869569, 3.1636372222556157, 0.63240575775394059, 19.217230229288653, 0.017769608171917656, 0.43470722380561216, 4.7943910025729366, 3.6234263740376846, 5.0799252840013658, 0.33771666533576583, 5.3161845569916455, 5.8734783048179429, 0.49074827924150527, 2.0738486892876056, 10.554633720095438, 3.4634486208885216, 1.4215067795385234, 2.9752351007890834, 0.92666382719990525, 3.693131649666022, 7.6178654851350025, 0.17400986827221443, 3.3663361617352434, 8.501060979200858, 2.8325705402872141, 9.6264051454662418, 11.069579238074983, 9.5902868018698388, 14.145753002806401, 8.2390953156480347, 1.2012470701183189, 21.705625263117447, 0.49207139927249877, 9.2660513695746953, 3.6358314763527244, 5.2041380638191459, 2.8719548200136904, 0.92187070244881975, 1.0493671924123098, 0.61114932281942225, 0.32121396219873477, 4.6467512441390131, 5.2816484434243556, 5.0131572920008072, 1.3765084351782206, 10.255034125788224, 0.18092954151950033, 4.0428299486346333, 1.2146821352574828, 11.344688586022695, 0.23969335618698295, 12.871065047073976, 7.9738963018235349, 0.39416363634693702, 2.4094728289738994, 0.88553354503994686, 9.1704716768401244, 4.5678319132198277, 6.4057991830762244, 3.4508688086832668, 1.0242341701994315, 2.3470859003755753, 10.63560677531523, 5.3103330079937567, 11.7750696245574, 3.9475979285907998, 2.0082909282162675, 1.3919576411608836, 2.8861096018377195, 0.072563333844038971, 16.843534623058524, 1.5757667831809248, 0.63632184282624449, 1.4271168046147835, 6.1320603477412652, 0.21014949932594604, 19.56741945535488, 4.6795497682074325, 5.962572092455023, 1.2291806934064178, 3.0634652905651016, 7.2641415106041638, 3.0673533104554727, 0.056550768269266694, 1.9093511841340587, 8.1340166622523089, 1.9840935755506017, 0.54177309447123589, 10.443758204275657, 0.64238312040176926, 9.0942503645066761, 12.46671801009591, 10.16319572766929, 10.402182386542741, 4.4338793550845192, 0.083103899538293891, 2.8834217653251311, 0.86045555034319232, 1.8860285240495576, 7.9239680202199425, 12.371954561283449, 16.29628889196935, 2.5232093091293217, 8.0634193649183619, 0.24442276099439575, 4.1757923577584135, 2.611955386922209, 1.8356705722982807, 3.9442155438395061, 1.8667294182546708, 6.8783274584062335, 0.72617701935282264, 6.7155259602340731, 6.7793055337403496, 3.3295851964320953, 1.8785819580749901, 0.51838616414269967, 2.8868046332741022, 0.37144906836336616, 0.52311006553290484, 3.8193021497838462, 7.7847450200811643, 3.8607632543719559, 1.6372823966570782, 1.8363570863295737, 34.739853405737342, 2.8339950742976008, 16.983741486607045, 0.62453361353907821, 0.53682532693842955, 3.1373508141020725, 6.3572238635256664, 6.58769900261351, 3.1229466690879777, 4.6204285485023942, 2.0451529816662468, 0.97368225668159125, 1.9412348126125081, 5.4507904608596478, 10.446196062747005, 0.33511958092952232, 9.0507375182457341, 6.41846237524451, 9.3904075904543678, 6.1877910420982598, 11.067986087058046, 0.032579716339453467, 3.3451734857369719, 2.5663879959595484, 4.4818694572221567, 0.50459124068065597, 7.8567157345499803, 3.8494429103258803, 3.8893476585866074, 6.3603993257808789, 11.692722317792237, 3.3272581511496058, 2.4087156320776568, 0.7080344841424856, 1.744772933697887, 13.358459131891948, 2.9764507667907498, 4.1993054503931573, 2.0386491401496709, 2.0293466892130447, 3.9196670762931078, 20.929794341665193, 0.25910221421010438, 4.5219715078098037, 3.1804947885976005, 14.253609769983605, 10.80363289830284, 16.554599013712938, 0.10209241688379464, 7.8238917951122788, 3.7696631958275577, 0.03344540187590414, 1.6421978313989238, 9.7181524634142153, 3.1301589444879516, 1.7503048244432504, 3.5107053628312528, 0.058724905474618762, 1.5846821891377163, 8.781332687735965, 2.7763112745533753, 10.408426970608462, 3.2143407732749854, 2.7787534616335563, 0.71306491865906896, 2.9576914073550586, 17.698456212142325, 8.988514586758594, 13.666345014133434, 0.47436940914749093, 0.06404431161920629, 0.59480462301632286, 5.4902390252179707, 1.5951969816117701, 0.92819771622062763, 6.6359435099829689, 12.996367868804029, 0.30854239470924383, 36.679639081796871, 3.7805185030423463, 20.20277373245851, 3.244853999162181, 0.39769342124142759, 0.18958710543845558, 0.39200526893447507, 0.021158587234328417, 8.9384880539673208, 3.7869406157210794, 12.162717700506928, 11.139364978666379, 10.788259354878516, 7.1333213108343321, 3.772143623785138, 13.621107340357488, 3.5443862749925339, 0.67592586665874821, 3.6483812776378475, 0.26203862574932185, 2.8106942690915231, 9.396868872888577, 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