ParametersEnter Parameters for Surge Tank Model:Parameter ValueUnitsDescriptionh_max=30mMaximum height of fluid in surge tank (overflow height)h_0=10mHeight of fluid at the start of the simulationA=5m^2Cross sectional area of surge tank=2kg/m^3Density of fluidw_0=500kg/hFlow rate of fluid out of tank (constant)0kg/hZero flow rate of fluid out of tank (constant)=6h^-1Frequency of inlet flow fluctuationsA=200kg/hAmplitude of inlet flow fluctuationsw_*=500kg/hMean inlet flow (at long time)t_0=0hTime at start of simulationt_f=5hTime at end of simulationh_upper23mUpper level controlh_lower5mLower level control

Calculationsh_maxtw_i(t)h(t)t00300500-tf5300.005505.999100040510.0014997750.01511.992801295910.25599775030.015517.975709839610.51348987810.02523.942441457810.7739694160.025529.887626494711.03742693290.03535.805914685211.30385031820.035541.691979969211.57322479190.04547.540525285411.84553291820.045553.346287337812.12075462140.05559.104041332312.39886720350.055564.80860567912.67984536530.06570.45484665512.96366122840.065576.037683024613.25028436080.07581.552090611913.53968180420.075586.993106822213.83181810360.08592.355835108314.1266553390.085597.635449376614.42415316020.09602.827198330614.72426882210.095607.926409746815.02695722410.1612.92849467915.33217095020.105617.828951588515.63986031180.11622.623370394715.94997339230.115627.307436444416.2624560940.12631.876934394316.57725218670.125636.327752004716.89430335830.13640.655883840117.21354926730.135644.85743487417.53492759690.14648.928623994217.85837411170.145652.865787405118.18382271450.15656.665381925518.51120550680.155660.323988176818.84045284940.16663.838313660219.17149342480.165667.205195720119.50425430220.17670.421604389919.83866100220.175673.484645118820.17463756460.18676.39156137720.51210661620.185679.13973713620.85098944080.19681.726699223221.19120604990.195684.150119547221.53267525460.2686.407817193421.87531473880.205688.497760386322.21904113320.21690.418068318122.56377009040.215692.167012841222.90941636070.22693.743020023723.25589386890.225695.144671565323.35311579180.23696.370706074523.45099463620.235697.420020202823.54944231770.24698.291669638323.64837024020.245698.984869955523.74768937510.25699.498997320823.84731034190.255699.833589054323.94714348850.26699.98834404624.04709897180.265699.963123026924.14708683860.27699.757948694124.24701710650.275699.373005690824.34679984510.28698.808640439624.44634525660.285698.065360831224.54556375690.29697.143835767124.64436605610.295696.044894557624.74266323870.3694.769526175624.84036684390.305693.318878366724.9373889450.31691.694256615825.03364222870.315689.897122972925.12904007360.32687.929094737125.22349662810.325685.791943000825.31692688750.33683.487591056425.4092467710.335681.01811266525.50037319690.34678.385730190725.59022415770.345675.592812599825.67871879330.35672.641873329825.76577746480.355669.535568026725.85132182520.36666.276692155725.93527489020.365662.868178485226.01756110790.37659.313094447226.09810642610.375655.614639377626.17683835960.38651.776141636226.25368605480.385647.801055611926.32858035410.39643.692958613826.40145385770.395639.45554765226.47224098430.4635.092636110226.54087803020.405630.608150314526.60730322680.41626.006125999226.67145679590.415621.290704675726.73328100350.42616.466129904826.79272021220.425611.536743478326.84972093050.43606.506981511126.90423186180.435601.381370449626.95620394980.44596.164522997727.00559042310.445590.861133966127.05234683740.45585.475976046827.09643111490.455580.013895518527.13780358280.46574.47980788527.17642700860.465568.878693451727.2122666340.47563.215592843427.24529020550.475557.495602468527.27546800440.48551.723869932227.30277287250.485545.905589404327.32718023730.49540.045996944427.34866813390.495534.150365790227.36721722460.5528.22400161227.38281081640.505522.272237737327.39543487630.51516.300430352127.40507804330.515510.313953679727.41173163930.52504.318195145227.41538967650.525498.318550526627.41604886290.53492.32041909927.41370860530.535486.329198775827.40837100980.54480.35028125127.40004087980.545474.389047146727.38872571190.55468.450861171427.3744356890.555462.541067291427.35718367110.56456.664983922527.33698518390.565450.827899143127.31385840470.57445.035065935427.28782414590.575439.291697458327.25890583680.58433.602962355927.22712950170.585427.973980105627.19252373730.59422.409816411727.15511968650.595416.915478645727.11495101020.6411.49591134127.07205385770.605406.155991742327.02646683350.61400.900525416626.97823096280.615395.734241929126.92738965460.62390.661790586126.87398866280.625385.687736251526.81807604450.63380.816555238426.75970211730.635376.05263128126.6989194140.64371.400251589226.63578263470.645366.863602990826.57034859830.65362.446768163226.50267619110.655358.153721959726.43282631360.66353.988327832126.36086182610.665349.95433435426.28684749160.67346.055371847226.21084991820.675342.294949114826.13293749840.68338.676450283426.05318034830.685335.203131757725.97165024380.69331.8781192925.88842055660.695328.70440516725.80356618770.7325.684845517325.71716350030.705322.822157740725.62929025120.71320.11891806325.54002552010.715317.577559217425.44944963940.72315.200368255425.35764412130.725312.989484488325.26469158450.73310.946897562425.170675680.735309.07444566825.07568101580.74307.373813885324.97979308070.745305.846532668324.88309816730.75304.49397646724.78568329460.755303.317362490524.68763612940.76302.317749612224.58904490740.765301.49603741624.48999835410.77300.852965387624.39058560480.775300.389112248224.29089612420.78300.104895434524.19101962620.785300.000570722524.09104599270.79300.076231997223.99106519340.795300.331811168623.89116720420.8300.767078232823.79144192650.805301.381641478823.69197910650.81302.174947841123.59286825380.815303.146283397623.49419856160.82304.294774011823.39605882590.825305.619386119623.2985373660.83307.118927659723.20172194440.835308.792049145823.10569968860.84310.637244881523.01055701210.845312.652854315222.91637953690.85314.837063534523.07325201640.855317.187906898422.9812582590.86319.703268806723.14048105290.865322.380885603423.05100209150.87325.218347614222.96290189980.875328.213101314723.12625976210.88331.362451628723.04115365030.885334.663564353622.95766015430.89338.113468710723.12585441260.895341.709060018923.04581004470.9345.447102488822.96759908540.905349.324232134523.1412919190.91353.336959800923.0669572170.915357.48167430422.99466187550.92361.754645680623.17447095550.925366.152028544723.10644762410.93370.669865548823.04065309760.935375.304090944322.97714658670.94380.050534241223.1659852430.945384.90492396123.10722410760.95389.862891480523.05091606140.955394.919974963622.99711177810.96400.071623376623.19585967760.965405.313200583623.14720588360.97410.639989518923.10119418120.975416.04719643223.05786597760.98421.529955201723.01726026560.985427.083331715122.97941358730.99432.702328308323.19436000230.995438.381888263523.16213105641444.116900360223.13275575361.005449.902203474623.10626052951.01455.732591224323.08266922821.015461.60281665423.06200308021.02467.50759695723.04428068361.025473.441618229523.02951798741.03479.39954025323.0177282771.035485.376001299723.00892216241.04491.365622958323.00310756851.045497.363014973323.00028972791.05503.362780096923.00047117671.055509.359518945323.00365175151.06515.347834858523.00982858991.065521.322338756223.01899613331.07527.277653988323.03114613151.075533.20842117323.04626765031.08539.109303020123.06434708141.085544.974989134323.08536815441.09550.80020079423.10931195191.095556.579695701923.1361569261.1562.308272702723.16587891811.105567.980776463723.19845118041.11573.592102114523.23384441.115579.137199840723.27202672551.12584.611079428623.31296379531.125590.008814756123.35661876891.13595.325548225823.40295235961.135600.556495136323.45192287051.14605.696947988623.50348623131.145610.74228072223.55759603841.15615.687952877623.61420359681.155620.529513684423.67325796351.16625.262606064323.73470599341.165629.882970553823.79849238761.17634.386449136623.86455974251.175638.76898898623.9328486021.18643.026646111924.00329751081.185647.155588910324.07584306951.19651.152101611424.15041999221.195655.012587623524.22696116451.2658.733572769824.30539770461.205662.311708414824.38565902491.21665.74377447824.46767289561.215669.026682331424.55136550981.22672.157477579824.63666154981.225675.133342718624.72348425491.23677.951599670124.81175549051.235680.609712193224.90139581841.24683.105288166224.99232456851.245685.436081739125.0844599111.25687.599995354925.17771893031.255689.595081637625.27201769951.26691.419545144125.36727135621.265693.071743980425.46339417851.27694.55019127925.56029966231.275695.853556537225.65790059931.28696.980666814325.75610915511.285697.93050778725.85483694871.29698.702224662725.95399513191.295699.295122948126.05349446881.3699.708669074926.15324541681.305699.942490879526.25315820681.31699.99637793826.3531429241.315699.870281755726.45310958891.32699.564315810626.55296823831.325699.078755451526.65262900611.33698.414037649926.75200220441.335697.57076060726.85099840391.34696.549683215226.94952851491.345695.351724375127.04750386681.35693.97796216927.14483628841.355692.429632890127.24143818721.36690.708129930127.33722262791.365688.815002525627.4321034111.37686.751954363527.52599515021.375684.520842047927.61881334931.38682.123673429227.71047447821.385679.562605797327.8008960481.39676.839943940427.88999668541.395673.958138070227.97769620591.4670.919781617728.06391568591.405667.727608898428.14857753351.41664.384492652328.23160555891.415660.893441458528.31292504241.42657.257597027428.3924628021.425653.480231373528.47014725911.43649.56474387128.54590850291.435645.514658194328.61967835351.44641.333619147228.69139042281.445637.025389382628.76098017491.45632.593846016428.82838498381.455628.042977138728.89354418961.46623.376878224228.95639915341.465618.59974844729.01689331011.47613.715886901429.07497221891.475608.729688733229.13058361281.48603.645641184229.18367744531.485598.46831955429.23420593551.49593.202383082629.28212361111.495587.852570757429.32738734961.5582.423697048429.36995641651.505576.920647575429.40979250271.51571.348374711729.44685975831.515565.711893126529.48112482521.52560.01627527329.51255686731.525554.266646822729.54112759791.53548.468182053229.56681130511.535542.626099191329.58958487541.54536.745655717329.60942781411.545530.832143633529.6263222641.55524.890884701429.6402530211.555518.927225653229.65120754861.56512.946533379529.65917598841.565506.954190099629.66415116931.57500.95558851829.66612861391.575494.956126971329.66510654281.58488.961204569829.66108587571.585482.976216339129.65407023091.59477.006548364629.64406592211.595471.057572944629.63108195241.6465.134643755429.61513000661.605459.243091033529.59622444031.61453.388216778629.57438226721.615447.575289982429.54962314391.62441.809541886729.52196935191.625436.096161275629.49144577771.63430.440289805929.45807989041.635424.847017380229.42190171721.64419.321377566329.3829438161.645413.868343066829.34124124611.65408.492821244929.29683153721.655403.199649707429.24975465491.66397.993591951329.20005296541.665392.879333077229.14777119661.67387.861475572829.09295639881.675382.944535171429.03565790151.68378.132936787328.97592726951.685373.431010534328.91381825631.69368.842987828728.84938675591.695364.372997581228.78269075221.7360.025062481328.71379026721.705355.803095377228.64274730671.71351.710895754228.56962580451.715347.752146315828.4944915651.72343.930409669428.4174122041.725340.249125119828.33845708771.73336.711605574828.25769727041.735333.321034563128.17520543041.74330.080463369828.09105580491.745326.992808290328.00532412281.75324.060848005727.91808753691.755321.287221082327.82942455421.76318.674423597227.73941496531.765316.224806891827.6481397731.77313.940575455727.55568111851.775311.82378494327.46212220861.78309.876340322427.367547241.785308.099994162627.27204132361.79306.496345055127.17569040841.795305.06683617627.07858120371.8303.812753986726.98080110121.805302.735227076626.88243809651.81301.835225147226.78358070961.815301.113558139426.68431790541.82300.570875504826.58473901381.825300.207665621226.48493364911.83300.02425535326.38499162931.835300.02080975726.28500289561.84300.197331934126.1850574311.845300.553663026126.08524517971.85301.089482359225.98565596611.855301.804307732125.88637941361.86302.697495850225.78750486451.865303.768242904625.68912129921.87305.015585295125.59131725631.875306.438400497725.49418075271.88308.035408074925.39779920481.885309.805170827725.30225934961.89311.746096088925.20764716631.895313.856437156825.11404779961.9316.134294867125.02154548261.905318.577619301324.93022346121.91321.184211632624.84016391891.915323.951726103724.75144790331.92326.877672138424.66415525291.925329.959416582724.57836452511.93333.194186074824.49415292571.935336.579069540324.41159623961.94340.111020812624.33076876221.945343.786861374124.25174323281.95347.603283216224.17459076891.955351.556851816924.09938080271.96355.644009231524.02618101791.965359.861077293923.95505728961.97364.204260927723.88607362411.975368.669651560823.81929210221.98373.253230642923.75477282281.985377.950873262323.69257384881.99382.758351857623.63275115511.995387.671340022723.5753585782392.685416399923.52044776712.005397.796068658823.46806813842.01402.998697557323.41826682992.015408.288621080623.37108865962.02413.661078654623.32657608452.025419.111235430123.28476916312.03424.63418663423.24570551862.035430.224961982823.20942030572.04435.878530156123.17594617882.045441.589803324223.14531326212.05447.353641726823.11754912342.055453.164858298323.09267874842.06459.018223336123.07072451882.065464.908469206623.0517061922.07470.830295086323.0356408832.075476.778371731523.02254304972.08482.747346274723.01242447922.085488.731847041823.00529427762.09494.726488385923.00115886142.095500.725875534523.00002195242.1506.724609444223.00188457362.105512.717291659323.00674504892.11518.698529170223.01459900412.115524.66293926723.02543937122.12530.605154383223.03925639462.125536.519826926223.056037642.13542.4016340923.07576800522.135548.245282645123.09842973442.14554.045513702323.12400243352.145559.797107445223.15246308882.15565.494887827523.18378608762.155571.133727231623.21794324142.16576.708551082523.25490381092.165582.214342415123.29463453432.17587.646146388923.33709965652.175592.999074746823.38226096182.18598.268310214723.4300778082.185603.449110836423.48050716332.19608.536814240923.53350364462.195613.526841838623.58901955862.2618.414702941423.64700494482.205623.195998804423.70740762022.21627.866426583923.77017322662.215632.421783210223.8352452792.22636.857969169923.90256521712.225641.170992194923.97207245752.23645.356970855724.04370444822.235649.412138054124.11739672552.24653.332844413224.19308297112.245657.115561561924.27069507262.25660.756885310324.35016318432.255664.253538712724.43141579032.26667.602375016924.51437976872.265670.800380496524.59898045762.27673.844677162424.6851417222.275676.732525352924.77278602262.28679.461326199724.86183448552.285682.028623966224.95220697312.29684.432108257725.04382215612.295686.669616100625.13659758722.3688.739133888825.23044977472.305690.63879919625.3252942582.31692.366902451725.42104568342.315693.921888479525.51761788112.32695.302357897125.61492394272.325696.50706837525.71287629932.33697.534935755225.81138680032.335698.385035026525.9103667932.34699.056601156826.00972720212.345699.54902978226.10937860982.35699.861877749626.20923133672.355699.994863517426.3091955222.36699.947867407426.40918120472.365699.720931712726.50909840452.37699.314260660326.60885720262.375698.728220226626.70836782282.38697.963337808426.80754071232.385697.020301748326.90628662222.39695.899960715127.00451668782.395694.603322940227.10214250882.4693.131555309927.19907622832.405691.485982315827.29523061272.41689.668084862527.39051912952.415687.679498935127.48485602552.42685.522014126727.57815640372.425683.197572027827.67033630032.43680.708264479727.76131275942.435678.056331690927.85100390842.44675.24416022227.93932903142.445672.274280837628.02620864172.45669.149366228628.11156455342.455665.872228607228.19531995222.46662.445817176128.27739946362.465658.873215474428.35772922182.47655.157638602328.43623693532.475651.302430328328.51285195252.48647.311060079628.58750532512.485643.1871198228.66012987012.49638.934320817528.73066023032.495634.556490303928.7990329332.5630.057568031528.86518644762.505625.441602726428.92906124032.51620.712748445928.99059982812.515615.875260839629.04974683042.52610.9334933229.1064490192.525605.891893144129.16065536562.53600.754997411929.21231708822.535595.527428982829.26138769482.54590.213892315629.30782302512.545584.819169234529.35158129052.55579.348114626229.39262311152.555573.805652070529.43091155322.56568.196769409829.46641215852.565562.526514259729.49909297952.57556.799989467229.52892460542.575551.022348518129.55588018992.58545.198790899229.57993547472.585539.334557419329.60106881182.59533.434925492729.61926118252.595527.5052043929.6344962152.6521.550730459929.64676019872.605515.57686232729.65604209692.61509.588976069529.66233355652.615503.592460380629.66562891562.62497.5927117229.66592520872.625491.595129456329.6632221692.63485.605111008729.65752222912.635479.628046989729.64883051862.64473.669316353329.63715485942.645467.734281554929.62250575892.65461.828283725229.60489640022.655455.956637863729.58434263062.66450.124628055229.56086294712.665444.33750271529.53447847982.67438.600469865329.50521297292.675432.918692448329.47309276352.68427.297283680329.43814675752.685421.741302449729.40040640412.69416.255748764629.35990566692.695410.84555925329.31668099392.7405.515602720329.27077128442.705400.270675767729.2222178542.71395.115498475429.17106439752.715390.05471015529.11735694972.72385.092865174329.06114384352.725380.23442885929.0024756672.73375.483773473828.94140521762.735370.845174287828.87798745462.74366.322805727328.81227944962.745361.920737618728.74434033542.75357.642931526228.67423125272.755353.493237186528.60201529492.76349.475389044428.52775745142.765345.593002892128.45152454942.77341.84957261528.37338519332.775338.248467047728.29340970322.78334.792926942228.21167005172.785331.486062051328.1282397992.79328.330848330228.04319402652.795325.330125258227.95660926992.8322.486593283727.86856344962.805319.802811393427.77913580082.81317.2811948127.68840680232.815314.92401281827.59645810422.82312.733386722327.50337245412.825310.711287938427.40923362282.83308.859536218727.31412632882.835307.179798014927.21813616242.84305.673584977827.12134950812.845304.342252597727.02385346752.85303.186998983726.92573578042.855302.208863786126.82708474612.86301.408727260726.72798914382.865300.787309476126.6285381532.87300.345169666626.52882127282.875300.082705728226.42892824172.88300.000153860526.32894895662.885300.097588354826.22897339212.89300.374921526526.12909151962.895300.831903794626.02939322592.9301.468123905925.92996823282.905302.283009305125.83090601612.91303.275826650425.73229572512.915304.445682473325.63422610242.92305.791523982525.5367854042.925307.312140011325.440061322.93309.006162108125.34414089562.935310.872065767425.24911045252.94312.908171801625.15505551192.945315.11264785325.06206071682.95317.483510041724.97020975632.955320.01862475224.879585292.96322.715710551524.79026887382.965325.572340245324.70234088652.97328.585943059324.61588045742.975331.753806954424.53096539492.98335.07308106724.44767211692.985338.540778274524.36607558172.99342.153777883324.28624922072.995345.908828437724.20826487233349.802550645624.13219271713.005353.8314404224.05810121493.01357.991872031923.9860570433.015362.280101373723.91612503633.02366.692269328523.8483681293.025371.224405242923.78284729763.03375.872430500423.71962150663.035380.632162192223.65874765473.04385.499316880823.60028052453.045390.469514455823.54427273243.05395.538282074623.49077468153.055400.701058188623.43983451653.06405.953196647823.39149808033.065411.28997088223.34580887213.07416.706578154723.30280800943.075422.198143884923.26253418993.08427.759726034123.22502365743.085433.386319553823.19031016883.09439.072860889723.15842496393.095444.814232538323.12939673733.1450.605267652623.10325161233.105456.440754692123.08001311793.11462.315442112123.05970216713.115468.224043090623.04233703843.12474.161240285623.02793335923.125480.121690620223.0165040923.13486.100030091523.00805952213.135492.090878597523.00260724933.14498.088844778923.00015218023.145504.08853087123.00069652413.15510.084537561323.00423979123.155516.071468848523.01077879283.16522.043936898523.02030764423.165527.996566893223.03281777023.17533.924001867423.04829791243.175539.820907529823.06673413973.18545.681977063223.08810986093.185551.501935900723.11240583913.19557.275546472123.13960020973.195562.997612917723.16966849953.2568.662985763923.20258364923.205574.266566557523.23831603733.21579.803312454123.2768335073.215585.26824075623.31810139533.22590.656433396723.36208256393.225595.963041366423.40873743263.23601.183289076223.45802401523.235606.312478655623.50989795713.24611.3459941823.56431257533.245616.279305825223.62121890033.25621.107973943923.68056572033.255625.827653060523.7422996273.26630.434095782523.80636506423.265634.923156622323.87270437733.27639.290795728223.94125786543.275643.533082519824.0119638353.28647.646199225424.08475865543.285651.626444317424.15957681633.29655.47023584424.23635098633.295659.174114652324.3150120743.3662.734747501424.39548928953.305666.148930061924.47771020893.31669.413589800224.56160083893.315672.525788742624.64708568353.32675.482726120424.73408781223.325678.281740889324.8225289293.33680.920314125224.91232944273.335683.3960712925.00340853913.34685.706784369625.0956842533.345687.850373878125.18907354253.35689.824910729625.28349236373.355691.628617974225.37885574593.36693.259872397225.47507786853.365694.717205979725.57207213813.37695.999307219825.66975126643.375697.10502231325.76802734873.38698.033356190325.86681194343.385698.783473413925.96601615083.39699.354698928926.06555069393.395699.746518670926.16532599833.4699.958580028526.26525227293.405699.99069216126.3652395913.41699.842826169426.46519797063.415699.515115123326.56503745593.42699.007853940526.66466819813.425698.321499121726.76400053643.43697.456668340126.86294507833.435696.414139884826.96141278033.44695.194851961227.05931502833.445693.799901846127.15656371683.45692.230544900427.25307132843.455690.488193439527.3487510133.46688.574415462127.44351666523.465686.490933239227.53728300243.47684.23962176427.62996564123.475681.822507065227.72148117343.48679.241764382527.81174724123.485676.499716210527.90068261143.49673.598830207127.9882072483.495670.541716974228.07424238483.5667.331127707228.1587105963.505663.969951719828.24153586583.51660.461213843528.32264365723.515656.808071705628.40196097863.52653.013812887328.47941644973.525649.081851965528.5549403663.53645.015727439728.62846476083.535640.819098547528.69992346733.54636.495741971628.76925217743.545632.049548441128.83638853.55627.484519230128.9012720173.555622.804762556728.96384433743.56618.014489886129.02404915053.565613.118012140329.0818322763.57608.119735818929.1371417133.575603.024159033129.18992768673.58597.83586745829.24014269333.585592.55953020629.28774154283.59587.199895624429.33268139923.595581.761787022529.37492181993.6576.25009833129.41442479123.605570.669789697829.45115476323.61565.02588302429.48507868143.615559.323457444529.51616601653.62553.567644757529.54438879213.625547.76362480629.56972160953.63541.916620816129.59214167093.635536.031894696729.61162879973.64530.114742304229.6281654593.645524.170488676329.64173676673.65518.2044832429.65233050973.655512.222094997629.65993715433.66506.228707694729.6645498553.665500.229714975329.66616446063.67494.230515527929.66477951823.675488.236508227129.66039627423.68482.253087274829.65301867313.685476.285637346229.64265335423.69470.339528743229.62930964573.695464.420112562429.61299955613.7458.532715878729.59373776323.705452.682636951829.57154160143.71446.875140457729.54643104573.715441.115452751529.5184286943.72435.408757163129.48755974653.725429.760189333629.45385198313.73424.174832592629.41733573863.735418.657713384229.37804387513.74413.213796743329.33601175273.745407.847981827529.29127719733.75402.56509750829.24388046713.755397.36989802429.1938642163.76392.267058704529.14127345523.765387.261171760429.08615551283.77382.356742152129.02855999133.775377.558183535128.96853872273.78372.869814288428.90614572223.785368.295853627828.84143713913.79363.840417809228.7744712073.795359.507516424128.70530819063.8355.301048791228.63401033193.805351.224800447528.56064179423.81347.282439741428.48526860423.815343.477514531428.40795859283.82339.813448993428.32878133373.825336.29354053928.24780808113.83332.920956848328.16511170543.835329.698733018928.08076662793.84326.629768834827.99484875333.845323.716826156627.90743540213.85320.962526436127.81860524023.855318.369348357127.72843820893.86315.93962560527.63701545243.865313.675544766127.5444192453.87311.579143360327.4507329173.875309.652308007627.35604077993.88307.896772729527.26042805013.885306.314117389427.16398077263.89304.905766270227.06678574353.895303.672986792926.96893043183.9302.616888375926.87050290063.905301.738421436326.7715917283.91301.038376535226.67228592753.915300.517383665726.57267486763.92300.175911686326.47284819143.925300.014267898526.37289573633.93300.032597771126.27290745273.935300.230884808326.17297332343.94300.608950565126.07318328223.945301.166454807925.97362713353.95301.902895820625.87439447123.955302.817610855825.77557459793.96303.909776731925.67725644483.965305.178410573225.57952849163.97306.622370694925.48247868693.975308.240357630425.3861943693.98310.030915300725.29076218723.985311.992432324625.19626802413.99314.123143469425.10279691813.995316.421131238725.01043298684318.884327598624.91925935154.005321.510515838824.82935806234.01324.297332567124.74081002444.015327.242269836524.6536949254.02330.342677402224.56809116184.025333.595765106824.48407577254.03336.998605390824.40172436514.035340.548135927724.32111105044.04344.241162379524.2423083754.045348.074361271924.16538725594.05352.044282984424.0904169174.055356.147354855524.01746482644.06360.379884397523.94659663624.065364.738062619423.8778761234.07369.217967455123.81136513054.075373.815567292523.74712351424.08378.526724602223.68520908724.085383.347199660623.62567756824.09388.272654365423.56858253184.095393.298656139923.51397535944.1398.420681921823.46190519394.105403.634122233623.41241889494.11408.934285330823.36556099684.115414.316401424523.32137366854.12419.775626973423.27989667564.125425.307049043123.24116734464.13430.90568972723.20522052934.135436.566510626523.17208857944.14442.284417384723.14180131144.145448.054264271623.11438598184.15453.870858814423.08986726264.155459.728966470723.06826721894.16465.62331533923.04960528944.165471.54860090323.03389826844.17477.499490805923.02116029144.175483.470629648323.01140282154.18489.456643808323.00463463984.185495.452146277223.00086183734.19501.451741507523.00008780934.195507.450030268523.00231325224.2513.44161450523.00753616344.205519.421102195823.01575184264.21525.383112205523.02695289624.215531.322279127523.0411292444.22537.233258112523.05826812844.225543.110729678423.07835412534.23548.949404497423.10136915884.235554.744028156423.1272925174.24560.489385885123.15610087054.245566.180307249523.18776829384.25571.811670804423.22226628834.255577.378408702623.25956380824.26582.87551125623.29962728824.265588.298031443123.34242067394.27593.641089361923.38790545414.275598.899876620923.43604069564.28604.069660666423.48678307994.285609.145789041823.54008694234.29614.123693574223.5959043134.295618.998894485523.654184964.3623.767004423923.71487643474.305628.423732412423.77792411894.31632.964887710123.84327127394.315637.386383583723.91085909184.32641.684240985323.98062674794.325645.854592133524.05251145624.33649.893683993624.12644852524.335653.797881655724.20237141664.34657.563671605324.28021180494.345661.187664885724.35989963914.35664.666600147624.44136320534.355667.997346583924.5245291924.36671.176906747924.60932275534.365674.202419249824.69566758684.37677.071161332824.7834859824.375679.780551322524.87269891014.38682.328150950824.96322608574.385684.7116675525.05498604034.39686.928956116125.14789619634.395688.978021239125.24187294064.4690.857018898525.33683170064.405692.564258123425.43268701994.41694.098202513725.5293526354.415695.45747162325.62674155364.42696.640842200825.7247661324.425697.647249293425.82333815494.43698.475787202525.9223689144.435699.125710299826.02176928844.44699.596433698526.12144982444.445699.887533779126.22132081634.45699.998748571426.32129238694.455699.929977989526.42127456854.46699.681283922226.5211773844.465699.252890177526.62091092754.47698.645182280826.72038544564.475697.858707128226.8195114184.48696.894172494226.91819963794.485695.75244639527.01636129264.49694.434556306927.11390804334.495692.94168824227.21075210444.5691.275185680927.30680632294.505689.436548363427.40198425644.51687.42743093927.49620025124.515685.249641477627.58936951934.52682.905139842927.68140821474.525680.396035928127.77223350864.53677.724587757327.86176366454.535674.893199453627.94991811134.54671.904419075328.0366175164.545668.760936323128.12178385484.55665.465580119128.20534048394.555662.021316061728.2872122084.56658.431243755928.36732534794.565654.698594024528.44560780744.57650.826726000428.52198913744.575646.819124103328.59640059994.58642.679394904528.66877522974.585638.411263880928.73904789444.59634.018572062328.80715535334.595629.505272574828.87303631454.6624.875427083328.93663148944.605620.133202136328.99788364674.61615.282865416229.05673766364.615610.328781898529.11314057544.62605.27540992429.16704162344.625600.127297186629.21839230024.63594.8890766429.26714639364.635589.565462329329.31326002844.64584.16124514829.35669170524.645578.681288526729.39740233874.65573.130524056629.43535529184.655567.51394705129.47051640964.66561.836612050229.50285404944.665556.103628272329.53233910944.67550.320155015829.55894505534.675544.491397016429.58264794334.68538.622599762729.60342644254.685532.719044776229.62126185364.69526.786044857929.6361381264.695520.828939307129.6480418724.7514.85308911729.65696237914.705508.863872149129.66289161954.71502.866678294729.66582425714.715496.866904623229.66575765284.72490.869950526129.66269186664.725484.881212857329.65662965744.73478.906081076429.64757648094.735472.949932398829.63554048434.74467.018126956229.62053249914.745461.116002973129.60256603164.75455.248871962729.58165725034.755449.42201394729.55782497184.76443.640672704829.53109064354.765437.91005105329.50147832444.77432.235306164329.46901466374.775426.621544926229.43372887654.78421.073819344629.39565271764.785415.597121998329.35482045294.79410.196381545229.31126882884.795404.876458287129.26503703874.8399.64213979629.21616668834.805394.49813660529.16470175744.81389.4490779729.1106885614.815384.499507702829.05417570744.82379.653880082628.99521405444.825374.916555847328.93385666344.83370.291798268828.87015875194.835365.783769316828.80417764384.84361.396525913128.73597271764.845357.134016280628.66560535314.85353.000076390328.59313887634.855348.998426509128.5186385024.86345.132667851728.44217127564.865341.4062793428.36380601244.87337.822614472128.28361323594.875334.384898304628.20166511414.88331.096224549928.11803539484.885327.959552792528.03279933914.89324.977705825127.94603365384.895322.153367108927.8578164224.9319.48907835827.76822703344.905316.987237252427.67734611234.91314.650095280427.58525544544.915312.479755711827.49203790824.92310.478171705927.397777394.925308.64714455327.30255871914.93306.988322054227.20646758574.935305.503197037627.10959046554.94304.193106015527.01201454134.945303.059227981426.91382762484.95302.102583349126.81511807764.955301.324033034126.71597473174.96300.724277679126.61648680944.965300.303857023526.5167438434.97300.063149417526.41683559474.975300.002371481726.31685197494.98300.121577912126.21688296224.985300.42066143126.11701852214.99300.899352883426.01734852564.995301.557221479325.91796266925302.393675181425.8189503934