{"text_format":"1","workbook":"xlsx","n_sheets":7,"sheets":["Instructions","Data","Optimize","Fit","Bootstrap","ExampleResults","RegressionFunction"],"not_rendered":{"charts":3,"images":20,"macros":1,"external_links":0,"defined_names":53,"comments":1,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900"}

{"sheet":"Instructions","index":0,"n_rows":25,"n_cols":1,"rows_kept":25,"cut":false,"hidden":false,"merged":[]}
["This WorkBook is designed to illustrate:"]
[]
["1. [Optimize Worksheet]: Maximum Likelihood Estimation of Parameters in a Regression Problem"]
["2. [Optimize worksheet] Calculation of Confidence Intervals for Parameters using the Information Matrix."]
["3. [Fit Worksheet]: Charting of the fitted Regression."]
["4. [Bootstrap Worksheet]: Bootstrap calculation of variability of MLE's."]
["5. [Performance Index Wordksheet]: Asymptotic and Bootstrap calculation of the variability of the regression function."]
[]
[]
["To look at and/or edit the Visual Basic Macros follow the instructions below:"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
["The text box below contains a summary of the Visual Basic programs:"]

{"sheet":"Data","index":1,"n_rows":34,"n_cols":10,"rows_kept":34,"cut":false,"hidden":false,"merged":[]}
[]
[" Data: the sample size must be placed in cell B9; the sample must be in two columns starting at cell A11."]
[]
["Here and in other demonstrations, green cells"]
["indicate quantities that have to be input by the user."]
[]
["There are usually only a few needed on each sheet."]
["FR",null,null,null,null,"UK","DE","CH","IT","FR"]
["NumObsns",24]
["Week","Sum"]
[1,0,1,null,null,0,0,0,0,0]
[2,0,2,null,null,0,0,0,0,0]
[3,0,3,null,null,0,0,0,0,0]
[4,0,4,null,null,0,0,0,0,0]
[5,0,5,null,null,0,0,0,0,0]
[6,0,6,null,null,0,0,0,0,0]
[7.0000000000000062,1,7,null,null,0,0,0,0,1]
[8.0000000000000089,0,8,null,null,0,0,0,6,0]
[9.0000000000000053,2,9,null,null,0,0,0,46,2]
[10,27,10,null,null,3,2,2,412,27]
[11,118,11,null,null,62,11,12,1694,118]
[12,712,12,null,null,294,113,52,3919,712]
[13,2164,13,null,null,1684,457,229,5514,2164]
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[15,6056,15,null,null,6596,1362,274,3940,6056]
[16,5298,16,null,null,6022,1629,283,3649,5298]
[17,3028,17,null,null,5342,1315,211,2863,3028]
[18,1908,18,null,null,4341,918,124,2102,1908]
[19,1442,19,null,null,3331,702,66,1660,1442]
[20,1254,20,null,null,2731,474,60,1268,1254]
[21,535,21,null,null,2118,295,39,870,535]
[22,401,22,null,null,2131,220,15,598,401]
[23,376,23,null,null,1552,189,4,489,376]
[24,227,24,null,null,1139,89,16,407,227]

{"sheet":"Optimize","index":2,"n_rows":1785,"n_cols":25,"rows_kept":1785,"cut":false,"hidden":false,"merged":[]}
["READ NOTES HERE",null,"Max # NM Iterations",2000,"See notes for these"]
[null,null,"# NM Iteration",231,"        initial values =>"]
["To confirm MLE's",null,"      Warning Flag =>",null,null,null,null,"Hessian Output to right =>"]
["Copy them into initial"]
["parameter cells, and",null,"Check optimization by clicking "]
["reoptimize to check they",null,"<1a: ReOptimize> button."]
["remain unchanged",null,"This starts wih the  ML estimates",null,null,null,null,null,null,null,null,"15:15:00",null,"Hessian Matrix"]
["Conf. Lev. alpha  (eg 0.05)",0.05,"obtained so far",null,null,null,null,null,null,null,null,null,null,-1.6224045014510003E-3,-3.3731638289452623E-8,7.1572520859932969E-5,-2.2651032380501274E-3,-6.4991765087950054E-5]
["# Parameters",5,null,null,null,null,null,null,null,null,null,null,null,-3.3731638289452623E-8,-1.7195786233958385E-5,-2.7570330666290884E-2,-0.45865690870733045,-1.780664803478619E-6]
["Parameters","InitialValues","ML Estimates","Lower 95% Limit","Upper 95% Limit","BS Lower CI Lim","BS Upper CI Lim",null,null,null,null,null,null,7.1572520859932969E-5,-2.7570330666290884E-2,-93.402553819555635,-582.37306726116094,-52.933624104903203]
["b1: Sigma",171.98247037509708,171.98247037509708,123.34000093433626,220.65921382614246,113.41593675548312,195.29976121304119,null,null,null,"BGW","BGW for this sheet",null,-2.2651032380501274E-3,-0.45865690870733045,-582.37306726116094,-20450.314923062797,-1983.8996532411093]
["b2: a",15428.386765998128,15422.812664673897,13531.298139305811,17312.850466616012,13792.547454723115,16859.243480724155,null,null,"b",2.3245132564190905,{"$f":"K14","v":15428.386765998128},"a",-6.4991765087950054E-5,-1.780664803478619E-6,-52.933624104903203,-1983.8996532411093,-813.20043121465267]
["b3: b",2.3245132564190905,2.3256800773983821,1.9097949745335092,2.7420690622430866,2.0259467305181138,2.6783518543596401,null,null,"c",1.3762119691774441,{"$f":"K12","v":2.3245132564190905},"b"]
["b4: d",-0.42791068193579784,-0.42775883938694115,-0.47620568937453323,-0.37933060782573214,-0.465150530431506,-0.3934813844439764,null,null,"a",15428.386765998128,{"$f":"K12-2*K13","v":-0.42791068193579784},"d","Covariance Matrix",null,null,null,null,null,"Correl","b1","b2","b3","b4","b5"]
["b5: tau",13.426796695517243,13.426279646813125,13.271320614490147,13.5812583081219,13.30832166390357,13.539560369925866,null,null,"tau",13.426796695517243,{"$f":"K15","v":13.426796695517243},"t",616.36930395165291,1.5723036156456822,8.0744889947795132E-4,-1.5281631702574965E-4,2.7099015621232262E-4,null,"b1",1,6.5648360486252535E-5,1.5318147927442818E-4,-2.4906645144036007E-4,1.3805009313457931E-4]
["Numobns = 24","MaxLogLike =",-157.59381984339257,"OPTIMUM OK",null,null,null,null,null,null,null,null,null,1.5723036482519623,930645.01480203692,-172.72699358123805,-22.328562549184888,65.714470786581089,null,"b2",6.5648361847661879E-5,1,-0.8432957266734129,-0.93655814084896205,0.86153450689230027]
[" X Original"," Y Original","Iteration #","b1","b2","b3","b4","b5","Likelihood",null,null,null,null,8.074489025137418E-4,-172.72699358123808,4.5079238734859507E-2,3.7661015569976845E-3,-1.2121817889349129E-2,null,"b3",1.531814798503493E-4,-0.84329572667341302,1,0.71774428964615333,-0.72207641202241912]
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{"sheet":"Fit","index":3,"n_rows":33,"n_cols":5,"rows_kept":33,"cut":false,"hidden":false,"merged":[]}
["This Sheet Tabulates the MLE Fitted Curve and Plots It."]
["Parameters","MLEs"]
["  Sigma",171.98247037509708]
["  a",15422.812664673897]
["  b",2.3256800773983821]
["  d",-0.42775883938694115]
["  tau",13.426279646813125]
[]
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{"sheet":"Bootstrap","index":4,"n_rows":115,"n_cols":33,"rows_kept":115,"cut":false,"hidden":false,"merged":[]}
[]
[]
[]
[]
[]
[]
["NumBootStraps = ",100]
["Run Time Counter",100]
[" Num Obsns",24,null,null,null,null,null,null,"X Obsns",1,2,3,4,5,6,7.0000000000000062,8.0000000000000089,9.0000000000000053,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24]
["XOrig","YOrig",null,null,"b1","b2","b3","b4","b5","Fitted Y's"]
[1,0,null,"MLE Fit",171.98247037509708,15422.812664673897,2.3256800773983821,-0.42775883938694115,13.426279646813125,4.3375851923674207E-9,4.4389264209882826E-8,4.5426323734047165E-7,4.6487491773487413E-6,4.7572961792173205E-5,4.8681802354518699E-4,4.9808482873742342E-3,5.0928813381192747E-2,0.51943367287869124,5.2454903949912923,50.969465050737597,430.03012415036631,2363.4807279468873,5708.2820960216541,6332.7719264887846,4844.7739420242742,3295.6789203638905,2172.1494252102457,1420.0751599916305,926.48820666710083,604.14724823548431,393.90249798972479,256.81494124246439,167.43575661801054]
[2,0,null,"Boot 1",169.24064939300112,15930.138071645422,2.2454414358199246,-0.42868541913003977,13.425044775779337,1.2176689214243268E-8,1.150037224922236E-7,1.0861608801692639E-6,1.0258286550298334E-5,9.6883415957341569E-5,9.149576919244807E-4,8.6390270151247457E-3,8.1506951840892308E-2,0.7667515502349096,7.1335938770360157,63.689694218539636,492.12632032687748,2499.6139435516402,5812.1539894212619,6444.8342955584458,4960.0853677619007,3383.6626518636604,2231.3146692763794,1458.1273102551636,950.58397469470287,619.31581327821993,403.42428303992511,262.78044354022927,171.16662735088107]
[3,0,null,"Boot 2",201.55306248225565,14943.553909419868,2.5209378355611558,-0.41288876256382079,13.335441375042635,4.6692820850790684E-10,5.8087068963863839E-9,7.2261784131806016E-8,8.98953684634662E-7,1.1183131640599381E-5,1.3911650117958498E-4,1.7304001743868407E-3,2.1513416849429218E-2,0.26692178281240131,3.28264726588871,38.881840758697507,396.09570534845068,2470.6755807466843,5987.7469629073621,6360.7469801542957,4779.6963075904741,3260.8566335177743,2173.2037773975371,1440.449351167649,953.55813101297338,631.05876752042241,417.60264894533088,276.34394423363159,182.86690148719467]
[4,0,null,"Boot 3",150.39333929874408,16088.20299728686,2.2643858223372026,-0.45123111362351387,13.486286711747782,8.4598944386075769E-9,8.1428250278541372E-8,7.8376334339215288E-7,7.5438591628610426E-6,7.2610169557037869E-5,6.9884825064576842E-4,6.7250667974816424E-3,6.4674283704332133E-2,0.62041832434765887,5.8945762547237974,53.984521897353098,433.0001866017343,2325.3389454387911,5687.475222384408,6385.7591905700565,4850.1377651069733,3240.4630192161462,2089.666675228962,1335.1003646870429,850.95826763704656,542.0434464261441,345.21594224905635,219.85169372574288,140.0116637285218]
[5,0,null,"Boot 4",127.94923525986913,16136.89069205793,2.346672606141734,-0.45143989830423736,13.52479291425405,2.7746944570175028E-9,2.8997600695522239E-8,3.0304614610369997E-7,3.1670481152807669E-6,3.3097660720998765E-5,3.4588102718919786E-4,3.6141212082865539E-3,3.7745234588967884E-2,0.39340973228492299,4.0671687073983316,40.705605423432623,360.24607528772037,2150.4260450080988,5678.0124405717061,6527.9727487560276,4962.8918985822302,3309.6768229140994,2131.8842001415755,1361.298183362426,867.36842212523925,552.35951506838694,351.70841960739222,223.93890196383603,142.58466906740875]
[6,0,null,"Boot 5",153.5241814231093,15102.187730021182,2.3892256078222909,-0.41755214766772963,13.351523284574238,2.3054708885573113E-9,2.5141261263586843E-8,2.7416640483130678E-7,2.9897882193515588E-6,3.2603378082965942E-5,3.5552360157932558E-4,3.8762145043455083E-3,4.2235416932232865E-2,0.45903629528370321,4.9382159546617279,51.000934588750347,452.08522553027456,2513.724987331334,5856.5273471948449,6283.0823121097192,4763.2150530460758,3252.7363798711081,2161.7620380977091,1427.0144073879305,940.42490327760174,619.50044834352775,408.05181148895309,268.7684122860054,177.02658625107921]
[7.0000000000000062,1,null,"Boot 6",182.03841412545796,15824.302727065908,2.1693896535665704,-0.43518804237390574,13.476192104397134,2.7850356823190259E-8,2.4377238990848074E-7,2.1337214310779494E-6,1.8676216995370523E-5,1.6346798266085548E-4,1.4307023159317862E-3,1.2518888815628185E-2,0.10944965872256861,0.95392109147905613,8.2200565232817979,67.998341564221477,489.73892838216966,2381.438923216308,5558.3585789911731,6301.6551186361221,4902.9007516742768,3346.1308960654433,2197.5007391379745,1427.8210727751418,925.01543470166678,598.79532914059439,387.53753258304459,250.79770449335936,162.30294090636005]
[8.0000000000000089,0,null,"Boot 7",133.00881288945027,15730.208071974659,2.124639165711101,-0.446655890430041,13.509969418117649,4.5034680286511425E-8,3.7693452168297602E-7,3.15488932642865E-6,2.640584779781338E-5,2.2100802595204921E-4,1.8496384018319811E-3,1.5476053786331488E-2,0.12937567075286993,1.078125528622133,8.8826419775509908,70.297418857718256,486.37382229727132,2306.7362858552169,5380.5570552284908,6143.0682647626436,4775.9425589102102,3236.0585817124434,2104.0639012690863,1352.1671638627056,866.14488821180908,554.3190560562839,354.66713248244179,226.90923947468858,145.1694229192056]
[9.0000000000000053,2,null,"Boot 8",180.80898554335045,15018.12333345851,2.3769658554366888,-0.41801938668742811,13.349975058647626,2.6773023885208153E-9,2.8840347944160452E-8,3.1067285497491951E-7,3.3466098141827157E-6,3.6049781888593191E-5,3.883141088796971E-4,4.1821038082615796E-3,4.501195478758447E-2,0.48320965952380784,5.1335269995496642,52.332737721874096,457.5482401815176,2511.6933657112245,5812.8523582053031,6230.7474586513936,4724.7446958514465,3226.283092979008,2143.5163151197585,1414.3828884106197,931.68014857540936,613.45611856128517,403.88234199259057,265.89797550589242,175.05415641862689]
[10,27,null,"Boot 9",129.88831881815531,15373.43678604496,2.4318712991901039,-0.42796944062694398,13.432093395525136,1.1392966479294296E-9,1.2965374119382796E-8,1.4754792942371441E-7,1.6791151794316686E-6,1.9108427104120331E-5,2.1744889604415949E-4,2.4742214313552232E-3,2.8138908895856213E-2,0.3193656872537774,3.5939836099561915,39.05753720459991,370.5645617397264,2269.2591613537979,5782.5261365501174,6421.6638189722653,4871.6626807360635,3298.776806583759,2170.170834539068,1417.7204101465979,924.6046677066189,602.7627851370886,392.9116044870284,256.11395711219046,166.94339277835007]
[11,118,null,"Boot 10",144.27127433777747,16081.667652539425,2.1959843102986305,-0.44333221523632005,13.447747267011529,2.1620528140292503E-8,1.9434348752963965E-7,1.7469207590610126E-6,1.5702710516556601E-5,1.4114624415042891E-4,1.2686414385253122E-3,1.140025096314623E-2,0.10236185485260249,0.91632099922496368,8.1109065519509311,68.899217656748846,507.83644551697091,2491.714680617426,5728.1675896105198,6340.5534013464485,4847.3622502729631,3269.1224057856462,2126.770979741053,1370.0851760782457,880.29683202842989,565.20269097578307,362.82513789798327,232.89953419153528,149.49753065215563]
[12,712,null,"Boot 11",158.81412680814887,15907.131734553201,2.1308354883374681,-0.43953691370774389,13.461267738842032,4.6752929274443144E-8,3.937482794749041E-7,3.3161017904766727E-6,2.7927666909569556E-5,2.3519758100708056E-4,1.9806143664113296E-3,1.6674564658059214E-2,0.14024990967735809,1.1756657367482499,9.7363987682616777,77.255981702009436,531.78996179061471,2468.9727939568438,5576.3096527343669,6241.2362503347404,4834.4327942022555,3288.0583640136588,2151.0968293143305,1391.9012739557108,897.90162067955634,578.73677485799772,372.93364620566888,240.30006221216877,154.83473908502464]
[13,2164,null,"Boot 12",153.96746640602436,16573.069297195914,2.1345083413629009,-0.45004338452321108,13.471836266869062,4.5493134225999513E-8,3.8454823550992351E-7,3.2505375028461143E-6,2.7476241877434839E-5,2.3224770993888382E-4,1.9629818112416688E-3,1.658725554689356E-2,0.1400376915334782,1.1784352414363242,9.8009399184423174,78.180821612712435,542.20209580277674,2540.974004810404,5766.4187147587127,6424.4455758726472,4929.2062137953781,3317.2085744755027,2147.2045487383712,1374.770543999384,877.55858870510906,559.70783025743651,356.9008234569722,227.5655400311534,145.09684532646423]
[14,5887,null,"Boot 13",129.02911463509844,14783.50389852234,2.2659542001147974,-0.39839383948051721,13.399067367609611,9.2888444658734741E-9,8.9547390361702722E-8,8.6326418567485503E-7,8.3220974369008E-6,8.0226041230810975E-5,7.7334498609320647E-4,7.4531141867075004E-3,7.1770913265274086E-2,0.68900243290583019,6.538127341938397,59.434086886305899,465.3091231010128,2374.379761147798,5541.3700530263413,6244.5402274450307,4931.8891572247694,3464.202770950395,2354.1436247077968,1585.6359382894962,1065.493082913056,715.5292179720301,480.43288043093924,322.56647733322637,216.57123244486084]
[15,6056,null,"Boot 14",153.63649884572351,14949.743164803647,2.4935516609485204,-0.4153857068832581,13.362311926724242,6.1241309453849794E-10,7.4127636049877492E-9,8.9725458794226344E-8,1.0860519572253285E-6,1.314567385052855E-5,1.5911227815020577E-4,1.9256425754025062E-3,2.3293701520651165E-2,0.28119434817991795,3.3648049197784617,38.804070728949632,386.50200944613016,2394.7806387421892,5889.9135406391715,6345.3661293128589,4789.1557971644379,3266.1155107542991,2172.5759607522577,1436.6726144025292,948.72630528663581,626.30218578322479,413.42256777592746,272.89576038211493,180.13479605351515]
[16,5298,null,"Boot 15",127.97703725702056,15994.447756392565,2.1606436668070783,-0.44571968268520329,13.569302655758401,2.567399031594308E-8,2.2276595332730151E-7,1.9328750402889804E-6,1.6770923261606683E-5,1.455136237132717E-4,1.2624854441999861E-3,1.095117991634673E-2,9.4922891609381485E-2,0.82051851602832471,7.0216682496164271,57.949159328502191,422.40937854399988,2145.1960166770136,5352.2045897666094,6336.8731495981356,4984.5879582369944,3388.4287885326657,2206.0149178696756,1419.046788099389,909.82288351767738,582.81176851911971,373.24510856853175,239.01834402486381,153.05958914889004]
[17,3028,null,"Boot 16",154.6249439752975,15728.717404294584,2.3414285466278422,-0.43480617779116526,13.403997486270246,3.8321860793756144E-9,3.9839694507665537E-8,4.1417620910363033E-7,4.3057940194334877E-6,4.47627905652674E-5,4.6533340628088227E-4,4.8366414692439337E-3,5.0240446926511556E-2,0.52057374963756242,5.3407493436773787,52.699424618154055,450.14541471783133,2475.505555948429,5876.2736868065758,6388.0465814957633,4821.1134055395769,3249.1111036212869,2124.9107593775334,1379.1476947950732,893.41362596934084,578.47882405896587,374.51629285239244,242.46054546820233,156.96695144115489]
[18,1908,null,"Boot 17",136.78006550480973,16274.786785843789,2.3244209677480558,-0.45672130569875152,13.469475952497389,4.205220726366499E-9,4.2980545081061705E-8,4.3929353161421409E-7,4.4899009664403253E-6,4.588967207212936E-5,4.6900561081290474E-4,4.7927020920575901E-3,4.8948468804303674E-2,0.49879245185288063,5.0372161185875086,49.095773905662732,419.04961939950107,2363.6164313578256,5845.4790807660947,6460.1546355246537,4833.0048123020488,3197.7662448644955,2047.7897601218319,1300.5599630946338,824.28416416335676,522.15524059527854,330.72465873618927,209.46893960155342,132.66893304228509]
[19,1442,null,"Boot 18",192.15075071214363,14553.64632882749,2.5211437833306753,-0.41291849031992167,13.470333929878848,3.2282587070110781E-10,4.0168640313506657E-9,4.9981101377090537E-8,6.2190498335935786E-7,7.7382042536463107E-6,9.6282508378785911E-5,1.1978869031866047E-3,1.4897592044498106E-2,0.18496422681880684,2.2798760349671117,27.24528391413039,287.08139504879,1971.9598700077531,5488.0869214718832,6325.9911974814604,4879.2067655060109,3350.5743442277053,2236.3829031195251,1482.8124250790511,981.65379527355174,649.64535638556367,429.89141625533773,284.46773138951994,188.23715669186544]
[20,1254,null,"Boot 19",128.77244906427075,13384.137483153092,2.6783518543596401,-0.37131444111540812,13.273202115559958,7.0873242934779783E-11,1.0319905318911917E-9,1.5026887562953211E-8,2.1880738538715499E-7,3.1860541358755255E-6,4.6391264854784816E-5,6.7543258923238229E-4,9.8300704447822473E-3,0.14280567409144021,2.0574925376036117,28.556325895630984,338.17209937721066,2338.6081717960574,5775.557435891893,6135.5524114833297,4713.979851737995,3331.6228315394928,2310.4921894380313,1595.687949842373,1101.0263998772684,759.55945160050112,523.9708797121541,361.45019921500227,249.33824687560821]
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["Lower CI",-1.7433885097142786E-8,-1.5995055710536522E-7,-1.4479939580097185E-6,-1.2885845158923518E-5,-1.120998046415129E-4,-9.4493119497291128E-4,-7.6001021934510062E-3,-5.6567025768158599E-2,-0.36097913466051756,-1.4528283496634238,7.3872964870952131,239.84342042423745,2056.1555978160513,5394.9995578462858,6082.6849200538563,4618.649998140756,3123.8526983898755,2009.2948553364392,1260.4781619026394,782.18210783569702,482.4180632759394,296.10296998575888,180.89490767073858,109.95985894317261,-4.8092262838862635E-4,-6.4230321292613201E-4,-8.5726249470066825E-4,-1.1433537358936153E-3,-1.5237837848750618E-3,-2.0291932433285269E-3,-2.6999797496359756E-3,-3.589322455318191E-3,-4.7671083280779476E-3,-6.3250132868279026E-3,-8.383054779410707E-3,-1.1098008367661498E-2,-1.4674169576570863E-2,-1.9377042663566393E-2,-2.5550646508559559E-2,-3.3639236683964853E-2,-4.4214337160288039E-2,-5.8008029250895723E-2,-7.5953416402746013E-2,-9.9233002222260197E-2,-0.12933527709205714,-0.16811893830721616,-0.21788261518879884,-0.2814353522175107,-0.36215885395206238,-0.46404578625292037,-0.59168805817506687,-0.75017325903846122,-0.9448238680039629,-1.1806791121898612,-1.4615688128860338,-1.7885560761465311,-2.1574232972846143,-2.5547338054821163,-2.9518081611285893,-3.2956978712128038,-3.4959108304193034,-3.4052409692953205,-2.7925964772879013,-1.3052586805023267,1.5823499154990941,6.636345175267742,14.949832342047173,28.048621024679917,48.012946655310188,77.605435788603529,120.3855794567325,180.77745424788071,264.04174005845721,376.08917296255231,523.06791499968676,710.67299817484513,943.17497060351218,1222.2580382900273,1545.8976719282932,1907.6718432058124,2296.9933796155938,2700.5334419855308,3104.3741984179728,3495.7130859376266,3863.353421698047,4197.4260039172705,4489.194832091338,4731.2786580005377,4918.1564827444954,5046.7464092453247,5116.901439336948,5131.6324529432368,5096.8015484883763,5020.1964198430624,4910.293557060555,4775.1954432534258,4622.0034849808399,4456.5924007621488,4283.6333020599823,4106.7326391068846,3928.607839757155,3751.2611518601698,3576.1360743161276,3404.251889077299,3236.3164771918205,3072.8188900241362,2914.1028154701789,2760.421387127119,2611.9737304310465,2468.9247092193773,2331.4111688762482,2199.5395275112542,2073.3798860309357,1952.960751258305,1838.2666354897206,1729.2390628708281,1625.7803934875262,1527.7594304936097,1435.0177980607925,1347.3763191617056,1264.6409053800828,1186.6077086576283,1113.0674519428719,1043.8089582380981,978.62195195577635,917.29922922654896,859.63829769066047,805.44258010536305,754.5222653021749,706.69487787613139,661.78562613372537,619.62757714470365,580.06169848506272,542.93679847265071,508.10939026709809,475.44349995337535,444.81043447408319,416.08852187554203,389.16283358726594,363.92489628942775,340.27239918760449,318.10890114255909,297.34354102075395,277.89075377065706,259.66999406139968,242.60546878306553,226.62587929953526,211.66417401784724,197.65731158826566,184.54603485504711,172.27465553160221,160.79084945810416,150.04546222073466,139.992324847031,130.58807924992635,121.79201306443336,113.56590349935827,105.87386982080979,98.682234076362903,91.959389672247966]
[]
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["Boot 2",4.6692820850790684E-10,5.8087068963863839E-9,7.2261784131806016E-8,8.98953684634662E-7,1.1183131640599381E-5,1.3911650117958498E-4,1.7304001743868129E-3,2.151341684942876E-2,0.26692178281239798,3.28264726588871,38.881840758697507,396.09570534845068,2470.6755807466843,5987.7469629073621,6360.7469801542957,4779.6963075904741,3260.8566335177743,2173.2037773975371,1440.449351167649,953.55813101297338,631.05876752042241,417.60264894533088,276.34394423363159,182.86690148719467,1.8490732439115954E-5,2.6304960552162913E-5,3.7421469511866648E-5,5.3235775241987556E-5,7.5733109835031954E-5,1.0773761072942439E-4,1.5326679728855399E-4,2.1803581379337621E-4,3.1017470294563771E-4,4.4124868879720248E-4,6.2770943705494275E-4,8.9295927687763445E-4,1.270287164456312E-3,1.8070443364465838E-3,2.5705827594617548E-3,3.6566999586411845E-3,5.2016470204786754E-3,7.3992013766800424E-3,1.0524937432772739E-2,1.4970724094434602E-2,2.1293748834439796E-2,3.0286168440994805E-2,4.3074035715810248E-2,6.1257756447536532E-2,8.7111422450346629E-2,0.12386554513183903,0.17610781457275715,0.25035068413167483,0.35583441011105338,0.50566180485599077,0.7183992646840861,1.0203313999776407,1.4486287018994657,2.0557852047493679,2.9158132423526824,4.1328529908298197,5.8530727626497026,8.2810059161716243,11.701787410837413,16.511095991356957,23.254923705558259,32.681476414976217,45.807366480652178,63.999479933572012,89.072017862903934,123.3945965205249,170.00122242734412,232.68085221607825,316.01813354602615,425.33925497625324,566.5065101359296,745.50334425596259,967.76921424389604,1237.2901285932585,1555.5288347850765,1920.3752898420514,2325.3796361775244,2759.548832130245,3207.9056394814397,3652.8254484701843,4075.9384565843643,4460.2049553227134,4791.7203916487579,5060.9046905184641,5262.9267136897979,5397.4223852426512,5467.7095576396296,5479.7541118931149,5441.11389495194,5360.0161484475348,5244.645840550862,5102.6594206282789,4940.8990023185415,4765.2638856809199,4580.6933554210773,4391.2202010389092,4200.0633068319112,4009.736804382143,3822.1611089033909,3638.7671633785235,3460.5894533794913,3288.3461392598779,3122.5063458667069,2963.3455826533786,2810.9907007582201,2665.4559196539049,2526.6714061000007,2394.5057483787132,2268.7834925246384,2149.2987256488555,2035.8255212734903,1928.1259106418663,1825.9559147524085,1729.0700639368822,1637.2247432431966,1550.180630168654,1467.7044337985574,1389.5700986744882,1315.5596005634279,1245.463432856375,1179.0808600368225,1116.2199972498331,1056.6977614397294,1000.3397289825025,946.97992656108534,896.46057569844754,848.63180646717103,803.35135211431918,760.4842334271425,719.9024394238827,681.48460923216214,645.1157186982432,610.6867742616098,578.09451586042621,547.2411300495138,518.03397407080956,490.38531128444163,464.21205812078796,439.43554253072648,415.98127377779275,393.77872332003153,372.76111646246005,352.86523441590163,334.03122636942294,316.20243116756131,299.3252081766604,283.34877692479586,268.22506510483214,253.90856453890726,240.35619471390581,227.52717351044186,215.38289476199157,203.88681229547313,193.0043301196142,182.70269844242952,172.95091521398786]
["Boot 3",8.4598944386075769E-9,8.1428250278541372E-8,7.8376334339215288E-7,7.5438591628610426E-6,7.2610169557037869E-5,6.9884825064576842E-4,6.725066797481547E-3,6.4674283704330746E-2,0.62041832434765121,5.8945762547237974,53.984521897353098,433.0001866017343,2325.3389454387911,5687.475222384408,6385.7591905700565,4850.1377651069733,3240.4630192161462,2089.666675228962,1335.1003646870429,850.95826763704656,542.0434464261441,345.21594224905635,219.85169372574288,140.0116637285218,5.1910503376792721E-4,6.9817703541161875E-4,9.3901936418866255E-4,1.2629377637691976E-3,1.6985856792004778E-3,2.284497621829586E-3,3.0724956139419691E-3,4.1322693739448569E-3,5.5575343016306088E-3,7.4743101969690015E-3,1.0052050115437564E-2,1.3518599058890791E-2,1.8180298039840864E-2,2.4448999465051878E-2,3.2878363510212942E-2,4.4212613851756136E-2,5.9452013509387204E-2,7.9940768878023788E-2,0.10748500311451213,0.14451101837153166,0.1942774996121755,0.26115987522898215,0.35103109822001805,0.47177110679671691,0.63394775389081703,0.85172580491349736,1.1440786169370334,1.5364004551645722,2.0626474022399557,2.7681729724892685,3.7134724334612059,4.9791089109654587,6.6721655501654205,8.9346510854081345,11.954378624217453,15.978932780229123,21.333425459041258,28.442792411575056,37.859362957316819,50.296285114786485,66.667022126447236,88.130437735661374,116.1398118009834,152.4923171439811,199.37291133196064,259.38322359682667,335.54204144038533,431.24000739090991,550.12827157974061,695.92091700356366,872.09630872318462,1081.4953995761587,1325.8365784107289,1605.1953048475164,1917.5269183873436,2258.3328554465679,2620.5723424880744,2994.8946104391393,3370.2105720920031,3734.5495306104922,4076.0775276158847,4384.1127801375869,4649.9748840343382,4867.5469932277738,5033.4981430485395,5147.1834794040715,5210.2936352416018,5226.3508418264219,5200.1492789670692,5137.2185912748037,5043.3626165766073,4924.2987427296093,4785.4020896286274,4631.544731833379,4467.0129467093911,4295.4833693919745,4120.0400990607186,3943.2176422668135,3767.0579662470773,3593.1731809083767,3422.8081310485436,3256.8993494557967,3096.1284184819951,2940.9688970190173,2791.7266952425198,2648.5742202100528,2511.5788554365204,2380.7264428845338,2255.9404553914001,2137.0975161777642,2024.0398634217299,1916.585287392096,1814.5349949210247,1717.6797866515162,1625.804869449142,1538.6935708537653,1456.130174664951,1377.9020563144857,1303.801262889167,1233.625654714783,1167.1797024715602,1104.2750151038852,1044.7306586108284,988.37331354495416,935.03730917995165,884.56456439003227,836.80445894740546,791.61365388430056,748.85587553431355,708.40167466124024,670.12816953823699,633.91877982296262,599.66295647911238,567.25591173540568,536.59835208116033,507.59621651815161,480.16042167781126,454.20661493577859,429.65493628486922,406.42978944029869,384.45962242991561,363.67671775345576,344.0169920670553,325.41980525386475,307.82777867155437,291.18662231720049,275.44497061517256,260.55422651084416,246.46841353924887,233.14403553130234,220.53994361909096,208.61721020462929,197.3390095624421,186.67050475448758,176.5787405456268,167.03254201859917]
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["Boot 5",2.3054708885573113E-9,2.5141261263586843E-8,2.7416640483130678E-7,2.9897882193515588E-6,3.2603378082965942E-5,3.5552360157932558E-4,3.8762145043454528E-3,4.223541693223197E-2,0.45903629528369772,4.9382159546617279,51.000934588750347,452.08522553027456,2513.724987331334,5856.5273471948449,6283.0823121097192,4763.2150530460758,3252.7363798711081,2161.7620380977091,1427.0144073879305,940.42490327760174,619.50044834352775,408.05181148895309,268.7684122860054,177.02658625107921,4.5015980855431099E-5,6.332335316754709E-5,8.9075954775250611E-5,1.2530151805896576E-4,1.762589928056997E-4,2.4793917203618768E-4,3.4876884571761563E-4,4.9060120337344863E-4,6.9010881128197437E-4,9.7074273478487631E-4,1.3654877895953644E-3,1.9207372511585773E-3,2.7017415255170115E-3,3.8002695786576298E-3,5.345380774648004E-3,7.5185682310812667E-3,1.0575044930435481E-2,1.4873659466334845E-2,2.0918931646594481E-2,2.9420103857435764E-2,4.1374071699257657E-2,5.8181808563705154E-2,8.1811740436510683E-2,0.11502888272505199,0.16171600192688651,0.22732340577991789,0.31949827317260637,0.44896415646551119,0.63074834475250707,0.88589167675135416,1.2438253462869246,1.7456662349437577,2.4487710622964749,3.4330053831226763,4.8093312166762567,6.7315002762920617,9.4118574512700306,13.142501364178978,18.323288600562897,25.49834985614001,35.402808139871382,49.021081938024679,67.657259565188383,93.016178820928019,127.2905816829431,173.24457066145169,234.27629663324583,314.43365010201978,418.34713351795733,551.03725340088579,717.55498667852248,922.42991892358214,1168.9373548211724,1458.2534648990231,1788.6360561534459,2154.8243649429255,2547.8628119760556,2955.4959360736007,3363.1550614157954,3755.3972664566318,4117.5241979509619,4437.0575445095783,4704.7993095577385,4915.3324406130187,5066.9660997872852,5161.2467481455569,5202.2129655319777,5195.5697904958943,5147.9176926274267,5066.1167661320205,4956.8170235201569,4826.1500294183579,4679.5569891334835,4521.7208280769646,4356.5704072669578,4187.3298786248806,4016.592482197445,3846.4041680354871,3678.3475112237147,3513.6202622610986,3353.1056182068583,3197.433118386522,3047.030191525087,2902.1650140044849,2762.981644967892,2629.5285041640009,2501.7812373671395,2379.6609283679973,2263.0485018258673,2151.7960393972339,2045.7356147250343,1944.6861472435542,1848.4586827649346,1756.8604307414166,1669.6978230565846,1586.7788057586988,1507.9145317000484,1432.9205870085598,1361.6178562443718,1293.8331087151403,1229.3993706583497,1168.1561339426694,1109.9494408499697,1054.6318757690708,1002.062487773336,952.10666267446777,904.63595893180911,859.52791850169797,816.66586113812832,775.938668649021,737.24056404901512,700.47088933385692,665.53388465747025,632.33847096107968,600.79803753804049,570.83023558175478,542.35677842875043,515.30324895215881,489.59891436541449,465.1765485480347,441.97226189420746,419.92533860261295,398.97808126564007,379.07566257290262,360.16598391405768,342.19954064596482,325.1292937770117,308.91054781509445,293.50083452377118,278.85980233248739,264.94911115052412,251.73233233985678,239.17485360892883,227.24378859694966,215.90789092651883,205.13747251088336]
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["Boot 9",1.1392966479294296E-9,1.2965374119382796E-8,1.4754792942371441E-7,1.6791151794316686E-6,1.9108427104120331E-5,2.1744889604415949E-4,2.4742214313551885E-3,2.8138908895855561E-2,0.3193656872537734,3.5939836099561915,39.05753720459991,370.5645617397264,2269.2591613537979,5782.5261365501174,6421.6638189722653,4871.6626807360635,3298.776806583759,2170.170834539068,1417.7204101465979,924.6046677066189,602.7627851370886,392.9116044870284,256.11395711219046,166.94339277835007,9.4104340604348976E-4,1.2525178873003815E-3,1.6670802995949702E-3,2.218845629165253E-3,2.9532163880955638E-3,3.9306160255729731E-3,5.2314564574358208E-3,6.9627472439589989E-3,9.2668882769047257E-3,1.2333366305865992E-2,1.6414312662114065E-2,2.184519421155651E-2,2.907232711928881E-2,3.8689456751087835E-2,5.1486380889264743E-2,6.8513565187797401E-2,9.116798529869076E-2,0.12130712869496035,0.16140033051328595,0.21472957020875874,0.28565573734016408,0.37997146547504784,0.50536829034808806,0.67205456355368443,0.89357180982253637,1.1878717466857256,1.5787348225092404,2.0976348438074695,2.7861841398262541,3.6993308793275399,4.9095256383128669,6.5121287808442414,8.6323935078445935,11.434429862356879,15.132628207693848,20.006088056279605,26.416644310774636,34.831082917921755,45.848052997120533,60.229956405480458,78.939651231149412,103.18104449782577,134.44145855097358,174.53192731825754,225.6192501160802,290.24075267077666,371.28954176699665,471.95519009612713,595.60328974289416,745.57865814606691,924.92292347878276,1136.0092579776615,1380.1155338342749,1656.9802976491515,1964.4088326688104,2298.0115502766234,2651.1554854164324,3015.1858807024887,3379.929427882546,3734.4330401293405,4067.8382434419432,4370.2586207733611,4633.5271621758293,4851.7116555289285,5021.3483480137911,5141.4003429238082,5212.9922621193073,5238.9978079542534,5223.5610833194014,5171.6208612662222,5088.4868939382723,4979.4957132504096,4849.7548767458093,4703.9714007177299,4546.3523774299138,4380.562533987284,4209.7233876929531,4036.4403817362659,3862.8469296806265,3690.6569788894558,3521.2201354625595,3355.5754036240701,3194.5011439075815,3038.5599847205672,2888.1382014479154,2743.4795839070953,2604.7141181963525,2471.8819723650904,2344.9533433783172,2223.8447300686003,2108.4321677542348,1998.5619117912374,1894.0590005968252,1794.7340705832612,1700.3887400647534,1610.8198287228688,1525.8226345759729,1445.1934517692391,1368.7314796111257,1296.2402456242469,1227.5286423457528,1162.4116585801999,1100.7108701797881,1042.2547426599604,986.87878757315161,934.42560614589888,884.74484688240796,837.6930983555427,793.13373399788748,750.93672216836649,710.97841193679324,673.14130276396315,637.31380444750425,603.38999226399426,571.26936109315659,540.85658140169971,512.06125924529908,484.79770187952488,458.98469012344123,434.54525826907604,411.40648205594812,389.49927501710278,368.75819333868776,349.12124924931157,330.5297328600472,312.92804230460689,296.26352197698191,280.48630862637208,265.54918504361098,251.40744105663893,238.01874154313089,225.34300116426635,213.34226552378894,201.98059845970775,191.22397518162285,181.04018097396514]
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["Boot 12",4.5493134225999513E-8,3.8454823550992351E-7,3.2505375028461143E-6,2.7476241877434839E-5,2.3224770993888382E-4,1.9629818112416688E-3,1.6587255546893352E-2,0.1400376915334757,1.1784352414363115,9.8009399184423174,78.180821612712435,542.20209580277674,2540.974004810404,5766.4187147587127,6424.4455758726472,4929.2062137953781,3317.2085744755027,2147.2045487383712,1374.770543999384,877.55858870510906,559.70783025743651,356.9008234569722,227.5655400311534,145.09684532646423,4.203168555295985E-4,5.6660018241912939E-4,7.63792749267596E-4,1.0296107269627643E-3,1.3879347167720898E-3,1.8709542593589915E-3,2.5220581187137387E-3,3.3997295290135285E-3,4.5827955715377934E-3,6.1775010039127705E-3,8.3270399597786034E-3,1.1224398432152975E-2,1.5129655754731627E-2,2.0393290426805013E-2,2.7487569452983324E-2,3.704881753429147E-2,4.9934325267405377E-2,6.7298947078605661E-2,9.0698170495212213E-2,0.12222675523546771,0.1647051374805322,0.22192992710073267,0.299010328400585,0.40281962421133022,0.54260054236528721,0.73077609354465267,0.9840342404567739,1.3247766602809259,1.7830502661149621,2.3991166678431179,3.2268611764400825,4.3383011393070383,5.8295249579512314,7.828478945610617,10.505118428296603,14.084548228989304,18.863886503520106,25.233676560277356,33.704711895097489,44.941078431021971,59.79997592265952,79.37834461007273,105.0653429985896,138.59811667891077,182.11588058127955,238.20397876301422,309.91532551063335,400.75184702641332,514.58416764607546,655.48550457236365,827.45802526154512,1034.0396971192911,1277.7993090147129,1559.7570805900307,1878.8041834656665,2231.2273244944122,2610.4607212521719,3007.1738107722376,3409.7523802993178,3805.1504285464339,4180.0015097036949,4521.8109246045769,4820.0283320631024,5066.8319287942122,5257.527782957186,5390.5550558584655,5467.1623706452756,5490.8648232292417,5466.8012762509943,5401.0950125339932,5300.2899772225983,5170.901444723474,5019.0918553301162,4850.4631795713194,4669.9465092347955,4481.7658305526429,4289.4537511329772,4095.9002113027918,3903.4193588953331,3713.8238387156157,3528.4992506113917,3348.4742902052722,3174.4841176482087,3007.0259059652526,2846.4064344062444,2692.7821420204377,2546.1923513524471,2406.5864969819995,2273.8462115863604,2147.8030776578607,2028.2527758775304,1914.9662707220689,1807.6985819674187,1706.1956040610689,1610.1993572540341,1519.4519862067314,1433.698763559609,1352.6903070477226,1276.1841781622652,1203.945997029665,1135.7501810097169,1071.380392507155,1010.6297637571586,953.30095211493483,899.2060680019647,848.16650859225342,800.01272311225989,754.58392991028734,711.7278009266596,671.30012562297452,633.16446361321016,597.19179302542227,563.26015988559766,531.25433245558179,501.06546339590375,472.59076179859159,445.73317649534522,420.4010915526739,396.5080344869902,373.97239744418061,352.71717137037439,332.66969303819428,313.76140467342884,295.92762584119771,279.10733719099875,263.24297562023594,248.28024039159064,234.16790972710336,220.85766739825746,208.30393883442929,196.46373628013922,185.29651254312154,174.76402288938672,164.83019465726503,155.46100417936191,146.62436061887422]
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