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pub const ARR: [[f64;1501];119] = [[ 0.00000000000000e+00, 1.90952910601727e-10, 6.09559478066679e-09, 4.61004660175235e-08, 1.93163410435251e-07, 5.85185417059306e-07, 1.44314740634262e-06, 3.08636764846659e-06, 5.94431823161112e-06, 1.05645380400433e-05, 1.76162923183837e-05, 2.78897519760029e-05, 4.22905959185128e-05, 6.18300732778089e-05, 8.76106957450797e-05, 1.20807859590111e-04, 1.62647818777058e-04, 2.14382541464425e-04, 2.77262079003254e-04, 3.52505156601008e-04, 4.41268755831824e-04, 5.44617499397453e-04, 6.63493666792960e-04, 7.98688665221507e-04, 9.50816753262807e-04, 1.12029176607439e-03, 1.30730752153578e-03, 1.51182249854004e-03, 1.73354927391704e-03, 1.97194908601520e-03, 2.22623176392513e-03, 2.49536112514821e-03, 2.77806580483838e-03, 3.07285534032323e-03, 3.37804119918327e-03, 3.69176231137635e-03, 4.01201454917522e-03, 4.33668349618189e-03, 4.66357976115339e-03, 4.99047602612490e-03, 5.31514497313156e-03, 5.63539721093044e-03, 5.94911832312352e-03, 6.25430418198355e-03, 6.54909371746840e-03, 6.83179839715858e-03, 7.10092775838166e-03, 7.35521043629159e-03, 7.59361024838974e-03, 7.81533702376675e-03, 8.01985200077100e-03, 8.20686775623240e-03, 8.37634276904398e-03, 8.52847085708528e-03, 8.66366585551382e-03, 8.78254202290933e-03, 8.88589076647496e-03, 8.97465436570578e-03, 9.04989744330353e-03, 9.11277698084236e-03, 9.16451170352972e-03, 9.20635166271667e-03, 9.23954882656170e-03, 9.26532944902898e-03, 9.28486892638827e-03, 9.29926977033078e-03, 9.30954322998840e-03, 9.31659498426674e-03, 9.32121520407517e-03, 9.32407315465832e-03, 9.32571637490044e-03, 9.32657433688972e-03, 9.32696635889635e-03, 9.32711342184076e-03, 9.32715342671200e-03, 9.32715933135387e-03, 9.32716010591841e-03, 9.32717815234475e-03, 9.32730041970285e-03, 9.32774988990819e-03, 9.32894803137414e-03, 9.33157023068491e-03, 9.33659242402233e-03, 9.34532721197674e-03, 9.35944804407490e-03, 9.38100040354926e-03, 9.41239929903636e-03, 9.45641276761913e-03, 9.51613150190375e-03, 9.59492512132892e-03, 9.69638600332746e-03, 9.82426196230115e-03, 9.98237940324620e-03, 1.01745588727976e-02, 1.04045251751296e-02, 1.06758144066244e-02, 1.09916803861568e-02, 1.13550030136215e-02, 1.17682010761543e-02, 1.22331519394712e-02, 1.27511204128277e-02, 1.33226988640867e-02, 1.39477603918012e-02, 1.46254265411583e-02, 1.53540506885909e-02, 1.61312178254622e-02, 1.69537610550243e-02, 1.78177946899570e-02, 1.87187634116783e-02, 1.96515065387106e-02, 2.06103360608126e-02, 2.15891267388584e-02, 2.25814162571620e-02, 2.35805131535374e-02, 2.45796100499127e-02, 2.55718995682163e-02, 2.65506902462622e-02, 2.75095197683641e-02, 2.84422628953965e-02, 2.93432316171178e-02, 3.02072652520504e-02, 3.10298084816126e-02, 3.18069756184839e-02, 3.25355997659164e-02, 3.32132659152736e-02, 3.38383274429880e-02, 3.44099058942470e-02, 3.49278743676035e-02, 3.53928252309205e-02, 3.58060232934533e-02, 3.61693459209180e-02, 3.64852119004504e-02, 3.67565011319451e-02, 3.69864674342771e-02, 3.71786469038285e-02, 3.73367643447736e-02, 3.74646403037473e-02, 3.75661011857458e-02, 3.76448948051710e-02, 3.77046135394556e-02, 3.77486270080384e-02, 3.77800259035255e-02, 3.78015782629999e-02, 3.78156990950980e-02, 3.78244338830524e-02, 3.78294560763898e-02, 3.78320782757006e-02, 3.78332764171666e-02, 3.78337258873719e-02, 3.78338481547300e-02, 3.78338662011563e-02, 3.78338677943125e-02, 3.78338990114269e-02, 3.78341105122543e-02, 3.78348880159300e-02, 3.78369605879999e-02, 3.78414965273755e-02, 3.78501840304259e-02, 3.78652936631901e-02, 3.78897201963173e-02, 3.79270019527330e-02, 3.79813164687220e-02, 3.80574519571201e-02, 3.81607547675479e-02, 3.82970537435376e-02, 3.84725630604126e-02, 3.86937657718628e-02, 3.89672808793569e-02, 3.92997172504388e-02, 3.96975181351890e-02, 4.01668003527027e-02, 4.07131924320912e-02, 4.13416760889992e-02, 4.20564353958445e-02, 4.28607178620895e-02, 4.37567113832465e-02, 4.47454406505750e-02, 4.58266861470961e-02, 4.69989283019068e-02, 4.82593187485059e-02, 4.96036799506086e-02, 5.10265337389549e-02, 5.25211585641778e-02, 5.40796745336850e-02, 5.56931545845249e-02, 5.73517594685833e-02, 5.90448936093834e-02, 6.07613783478282e-02, 6.24896386420494e-02, 6.42178989362706e-02, 6.59343836747154e-02, 6.76275178155154e-02, 6.92861226995739e-02, 7.08996027504137e-02, 7.24581187199210e-02, 7.39527435451439e-02, 7.53755973334902e-02, 7.67199585355928e-02, 7.79803489821920e-02, 7.91525911370027e-02, 8.02338366335238e-02, 8.12225659008523e-02, 8.21185594220093e-02, 8.29228418882542e-02, 8.36376011950996e-02, 8.42660848520075e-02, 8.48124769313960e-02, 8.52817591489097e-02, 8.56795600336600e-02, 8.60119964047418e-02, 8.62855115122360e-02, 8.65067142236862e-02, 8.66822235405611e-02, 8.68185225165509e-02, 8.69218253269787e-02, 8.69979608153767e-02, 8.70522753313658e-02, 8.70895570877814e-02, 8.71139836209086e-02, 8.71290932536728e-02, 8.71377807567233e-02, 8.71423166960989e-02, 8.71443892681687e-02, 8.71451667718444e-02, 8.71453782726719e-02, 8.71454094897863e-02, 8.71454119937853e-02, 8.71454582052761e-02, 8.71457712953469e-02, 8.71469222538740e-02, 8.71499903351853e-02, 8.71567050019657e-02, 8.71695653343703e-02, 8.71919325092340e-02, 8.72280917294016e-02, 8.72832808645706e-02, 8.73636840282826e-02, 8.74763893341569e-02, 8.76293111199353e-02, 8.78310779714063e-02, 8.80908888908394e-02, 8.84183409080102e-02, 8.88232322996593e-02, 8.93153463410200e-02, 8.99042211395692e-02, 9.05989115786682e-02, 9.14077497135578e-02, 9.23381101050022e-02, 9.33961865421474e-02, 9.45867863961021e-02, 9.59131484644118e-02, 9.73767896236902e-02, 9.89773849173530e-02, 1.00712684885825e-01, 1.02578473019505e-01, 1.04568565204852e-01, 1.06674851968149e-01, 1.08887383228386e-01, 1.11194494179524e-01, 1.13582969862523e-01, 1.16038244987378e-01, 1.18544634651912e-01, 1.21085590801869e-01, 1.23643978607465e-01, 1.26202366413060e-01, 1.28743322563018e-01, 1.31249712227552e-01, 1.33704987352407e-01, 1.36093463035406e-01, 1.38400573986544e-01, 1.40613105246780e-01, 1.42719392010078e-01, 1.44709484195425e-01, 1.46575272329105e-01, 1.48310572297577e-01, 1.49911167591240e-01, 1.51374808750518e-01, 1.52701170818828e-01, 1.53891770672782e-01, 1.54949847109928e-01, 1.55880207501372e-01, 1.56689045636262e-01, 1.57383736075361e-01, 1.57972610873910e-01, 1.58464724915270e-01, 1.58869616306920e-01, 1.59197068324090e-01, 1.59456879243523e-01, 1.59658646094994e-01, 1.59811567880773e-01, 1.59924273186647e-01, 1.60004676350359e-01, 1.60059865485528e-01, 1.60096024705696e-01, 1.60118391880560e-01, 1.60131252212964e-01, 1.60137966879745e-01, 1.60141034961056e-01, 1.60142185919583e-01, 1.60142499009654e-01, 1.60142545221145e-01, 1.60142548785420e-01, 1.60142612788376e-01, 1.60143046418402e-01, 1.60144640496984e-01, 1.60148889792324e-01, 1.60158189611776e-01, 1.60176001183575e-01, 1.60206979740620e-01, 1.60257060292657e-01, 1.60333497293867e-01, 1.60444855746995e-01, 1.60600952695698e-01, 1.60812749504776e-01, 1.61092196773205e-01, 1.61452035127297e-01, 1.61905556461813e-01, 1.62466331398736e-01, 1.63147909782953e-01, 1.63963501901786e-01, 1.64925648776731e-01, 1.66045890311693e-01, 1.67334440279880e-01, 1.68799877084757e-01, 1.70448858939578e-01, 1.72285871581820e-01, 1.74313015886939e-01, 1.76529841789778e-01, 1.78933233786826e-01, 1.81517352008545e-01, 1.84273631452188e-01, 1.87190840489457e-01, 1.90255198249318e-01, 1.93450548965050e-01, 1.96758589906653e-01, 2.00159148134535e-01, 2.03630500045255e-01, 2.07149726568976e-01, 2.10693095951234e-01, 2.14236465333492e-01, 2.17755691857213e-01, 2.21227043767933e-01, 2.24627601995815e-01, 2.27935642937417e-01, 2.31130993653150e-01, 2.34195351413011e-01, 2.37112560450280e-01, 2.39868839893923e-01, 2.42452958115642e-01, 2.44856350112690e-01, 2.47073176015529e-01, 2.49100320320648e-01, 2.50937332962890e-01, 2.52586314817711e-01, 2.54051751622588e-01, 2.55340301590775e-01, 2.56460543125737e-01, 2.57422690000682e-01, 2.58238282119515e-01, 2.58919860503732e-01, 2.59480635440655e-01, 2.59934156775171e-01, 2.60293995129263e-01, 2.60573442397692e-01, 2.60785239206770e-01, 2.60941336155473e-01, 2.61052694608601e-01, 2.61129131609811e-01, 2.61179212161848e-01, 2.61210190718893e-01, 2.61228002290692e-01, 2.61237302110144e-01, 2.61241551405484e-01, 2.61243145484066e-01, 2.61243579114092e-01, 2.61243643117048e-01, 2.61243647963159e-01, 2.61243733811555e-01, 2.61244315447847e-01, 2.61246453616100e-01, 2.61252153277648e-01, 2.61264627304301e-01, 2.61288518308045e-01, 2.61330070442282e-01, 2.61397244449703e-01, 2.61499770869196e-01, 2.61649138103636e-01, 2.61858513942445e-01, 2.62142601075000e-01, 2.62517429069501e-01, 2.63000087173004e-01, 2.63608404059534e-01, 2.64360582265302e-01, 2.65274796457795e-01, 2.66368765849416e-01, 2.67659311953440e-01, 2.69161913464872e-01, 2.70890270314110e-01, 2.72855888878673e-01, 2.75067699948026e-01, 2.77531720328100e-01, 2.80250767963542e-01, 2.83224239173301e-01, 2.86447955072614e-01, 2.89914082532175e-01, 2.93611133149108e-01, 2.97524041724410e-01, 3.01634323710778e-01, 3.05920309067656e-01, 3.10357447991359e-01, 3.14918682130121e-01, 3.19574873196930e-01, 3.24295279402716e-01, 3.29048068888888e-01, 3.33800858375061e-01, 3.38521264580847e-01, 3.43177455647656e-01, 3.47738689786418e-01, 3.52175828710121e-01, 3.56461814066999e-01, 3.60572096053367e-01, 3.64485004628669e-01, 3.68182055245602e-01, 3.71648182705163e-01, 3.74871898604476e-01, 3.77845369814235e-01, 3.80564417449677e-01, 3.83028437829751e-01, 3.85240248899104e-01, 3.87205867463667e-01, 3.88934224312905e-01, 3.90436825824337e-01, 3.91727371928361e-01, 3.92821341319982e-01, 3.93735555512475e-01, 3.94487733718243e-01, 3.95096050604772e-01, 3.95578708708276e-01, 3.95953536702777e-01, 3.96237623835332e-01, 3.96446999674141e-01, 3.96596366908581e-01, 3.96698893328074e-01, 3.96766067335495e-01, 3.96807619469732e-01, 3.96831510473476e-01, 3.96843984500129e-01, 3.96849684161676e-01, 3.96851822329930e-01, 3.96852403966222e-01, 3.96852489814618e-01, 3.96852496259285e-01, 3.96852609692754e-01, 3.96853378222230e-01, 3.96856203433365e-01, 3.96863734527908e-01, 3.96880216747647e-01, 3.96911784483105e-01, 3.96966688278498e-01, 3.97055446847149e-01, 3.97190917374997e-01, 3.97388279754301e-01, 3.97664932889584e-01, 3.98040303784153e-01, 3.98535572676975e-01, 3.99173319985182e-01, 3.99977103147848e-01, 4.00970973596802e-01, 4.02178945940278e-01, 4.03624432983181e-01, 4.05329661379811e-01, 4.07315083487650e-01, 4.09598801341387e-01, 4.12196018583595e-01, 4.15118535672820e-01, 4.18374302753806e-01, 4.21967043241952e-01, 4.25895959479530e-01, 4.30155529809514e-01, 4.34735404137097e-01, 4.39620402570021e-01, 4.44790619112629e-01, 4.50221629705321e-01, 4.55884801222635e-01, 4.61747695441524e-01, 4.67774559536377e-01, 4.73926892415072e-01, 4.80164074241151e-01, 4.86444044844104e-01, 4.92724015447057e-01, 4.98961197273136e-01, 5.05113530151831e-01, 5.11140394246684e-01, 5.17003288465573e-01, 5.22666459982887e-01, 5.28097470575579e-01, 5.33267687118187e-01, 5.38152685551111e-01, 5.42732559878694e-01, 5.46992130208678e-01, 5.50921046446256e-01, 5.54513786934401e-01, 5.57769554015388e-01, 5.60692071104612e-01, 5.63289288346821e-01, 5.65573006200558e-01, 5.67558428308397e-01, 5.69263656705027e-01, 5.70709143747930e-01, 5.71917116091406e-01, 5.72910986540360e-01, 5.73714769703026e-01, 5.74352517011232e-01, 5.74847785904055e-01, 5.75223156798624e-01, 5.75499809933907e-01, 5.75697172313211e-01, 5.75832642841059e-01, 5.75921401409710e-01, 5.75976305205103e-01, 5.76007872940561e-01, 5.76024355160300e-01, 5.76031886254843e-01, 5.76034711465978e-01, 5.76035479995454e-01, 5.76035593428923e-01, 5.76035601918516e-01, 5.76035751000057e-01, 5.76036761050791e-01, 5.76040474124483e-01, 5.76050371972002e-01, 5.76072033962409e-01, 5.76113522305210e-01, 5.76185680394834e-01, 5.76302332599034e-01, 5.76480376656276e-01, 5.76739762954657e-01, 5.77103358250526e-01, 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