Statistics

Problem Statement for "Driving"

Problem Statement

With gasoline prices as they are, driving can be expensive. By always driving at the optimal speed, however, you can minimize the cost. To do this, you must take 3 factors into account.
1) The cost of your time. The faster you get where you are going, the more time you have to do other things.
2) The cost of speeding tickets. If you drive too fast, there is a risk that you will get a speeding ticket.
3) The cost of operating the vehicle (gasoline plus wear and tear).
You have collected some data pertaining to these three factors, and would now like to calculate the optimal speed to drive at. You will be given an int, costOfTime, representing the price at which you value an hour of your time. You will be given a String[], tickets, indicating the cost and likelihood of getting a ticket at various speeds. Finally, you will be given a String[], costPerMile, indicating the cost of operating your vehicle at different speeds.

Each element of tickets will be formatted as "SPEED PROBABILITY COST", indicating the probability per mile of receiving a ticket when travelling at the given speed. If you are travelling at a speed that does not correspond to any element of tickets, you should use linear interpolation to determine the probability of receiving a ticket (see examples). However, the cost of the ticket will be the cost of the ticket for the highest speed less than or equal to the travel speed. Note that if you are travelling at a speed less than the minimum SPEED in tickets, you cannot receive a ticket. Also, you should assume that each mile of road is independent and if you receive a ticket during one mile, that does not affect the probability of receiving a ticket during the next mile. Furthermore, you should assume that you will not receive more than one ticket in a single mile.

Each element of costPerMile will be formatted as "SPEED COST" indicating the cost per mile of travelling at a given speed. You should again interpolate to find the cost of speeds not in costPerMile. Your car cannot travel faster than the highest SPEED in costPerMile, and the smallest SPEED in costPerMile will always be 0.

You should find the speed that gives the lowest expected cost per mile and return that cost.

Definition

Class:
Driving
Method:
lowestCost
Parameters:
int, String[], String[]
Returns:
double
Method signature:
double lowestCost(int costOfTime, String[] tickets, String[] costPerMile)
(be sure your method is public)

Notes

  • You need not worry about the time that it takes to receive and deal with a ticket as this is already factored into the costs given to you.
  • Your return must have a relative or absolute error less than 1E-9.

Constraints

  • costOfTime will be between 1 and 1000, inclusive.
  • tickets will contain between 1 and 50 elements, inclusive.
  • costPerMile will contain between 2 and 50 elements, inclusive.
  • Each element of tickets and costPerMile will contain at most 50 characters.
  • Each element of tickets will be formatted as "SPEED PROBABILITY COST".
  • Each element of costPerMile will be formatted as "SPEED COST".
  • Each SPEED in both inputs will be between 0 and 200, inclusive.
  • Each PROBABILITY will be between 0 and 0.1, inclusive.
  • Each COST in tickets will be between 1 and 1000000, inclusive.
  • Each COST in costPerMile will be between 0 and 5, exclusive.
  • All numbers in the inputs will be formatted as sequences of 1 or more digits, with an optional decimal point. They may contain extra leading or trailing zeros.
  • The smallest SPEED in costPerMile will be 0.
  • The largest SPEED in tickets will be greater than or equal to the largest SPEED in costPerMile.
  • Both String[] inputs will be sorted in ascending order by SPEED.
  • tickets will be sorted in non-descending order by COST and PROBABILITY.
  • No two SPEEDS in costPerMile will be within 1 of each other.
  • No two SPEEDS in tickets will be within 1 of each other.

Examples

  1. 50

    {"80 0.001 100"}

    {"0 0.01","30 0.40","55 0.37","65 0.42","75 0.53"}

    Returns: 1.1882396974191325

    At 67.42 miles per hour, the cost of operating the vehicle is found by linear interpolation. That is, imagine drawing a straight line from (65,0.42) to (75,0.53). Then, find the y-value of the point on this line corresponding to x = 67.42. That is the cost per mile of operating the vehicle (0.44662 here). In this case, there are no tickets, so we need not worry about that. The cost of the time is 0.74162 per mile, for a total of 0.44662+0.74162 = 1.18824.

  2. 50

    {"60 0.00001 50","65 0.00003 70","70 0.0001 110","75 0.001 180"}

    {"0 0.01","30 0.40","55 0.37","65 0.42","75 0.53"}

    Returns: 1.1907307692308355

    In this case, there is some risk of getting a ticket. The cheapest speed is just a hair under 65 so that you only have to pay 50 if you get a ticket.

  3. 100

    {"60 0.00001 50","65 0.00003 70","70 0.0001 110","75 0.001 180"}

    {"0 0.01","30 0.40","55 0.37","65 0.42","75 0.53"}

    Returns: 1.9105714285715127

    Same as example 1, but with a higher value on time.

  4. 1000

    {"60.50 0.00002 50.53","65 0.00007 70", "070 0.0002 150","75 0.002 200", "080.001 0.004 300","85. 0.004 1000000", "150 0.004 1000000"}

    {"0 0.50","30 0.40","55.5 0.37","65 0.42","75 0.63","80 0.87","95 1.30"}

    Returns: 13.978039215687371

  5. 10

    {"60.5 0.00002 50","65 0.00007 70", "70.5 0.0002 150","75 0.002 200", "80.5 0.004 300.84","85 0.004 1000000", "150.5 0.004 1000000"}

    {"0 0.50","30.5 0.40","55 0.41","65 0.40","75 0.63","80 0.87","95 1.30"}

    Returns: 0.557346153846182

  6. 1

    {"0 0.1 1000","100 0.1 1000"}

    {"0 1","100 1"}

    Returns: 101.01

  7. 1

    {"0 0.1 1","1.000001 0.1 1000000"}

    {"0 0.0000000001","1.000001 4.99999"}

    Returns: 4.572129246852603

  8. 223

    {"158.685103594377 .000209135990182 11214.3760808165","176.416942019602 .000808476616304 26247.6311070839"}

    {"0 .004343821658252","2.16034909925839 .005954447123972","4.09964844250936 .017714507737813","8.19823337102743 .024202537008629","12.5795332382683 .035653072166495","14.6011678737626 .038598613993034","18.4412393884130 .040653109945947","21.7957460458867 .043668798094929","24.8167292675299 .050459582170393","27.7246324232781 .050659881574557","30.7823975261837 .059418849310578","32.9870241086694 .059948185989805","35.2141917385587 .072075303573409","39.5494099352192 .081958107930286","42.6993191293607 .090222142602386","43.7759233753538 1.00542867158983","46.5213853889115 1.05285316870450","48.7717247646706 1.16398671106846","51.8883267640845 1.21769236853551","54.4708747873313 1.25986059533238","56.0054803519778 1.26732028356435","58.4231541157175 1.38907055762045","62.2696711126877 1.39149743753599","65.0122908561412 1.43381372646277","67.0696804502838 1.53784563653482","71.4862876570973 1.58360060274327","75.4780168312821 1.58746741870567","77.2201651626840 1.65917043710120","79.0327947801029 1.76289013662277","83.1384507657330 1.87489810117668","85.6557503321999 2.00091546115237","88.8958779403368 2.10152572069501","90.1167748009109 2.14160896992275","93.5078416372743 2.16610162633534","94.8956924471179 2.20945823514553","98.7351448473948 2.29005063031826","100.075494766677 2.29526395952407","102.999815912072 2.38247458792086","105.734063647863 2.44818410459540"}

    Returns: 4.523581696247907

  9. 9

    {"130.503670274337 .000065995919794 11800.6473945182","132.897994639452 .000075556104551 17638.0473516660","135.036697698842 .000113582076081 17918.6240545349","136.405808378463 .000203340891146 29317.5863089653","138.359172802009 .000233359215366 42059.094866076","139.699369100085 .000317788795283 49220.9223209636","142.134110307530 .000379193258862 50224.1610760487","143.775024997628 .000418906212192 58093.0476097848","145.946671512315 .000424893122758 60608.1806626077","147.293980778088 .000508082444731 65400.3338551005","149.044700212592 .000541821222075 74861.8063196551","151.029229313068 .000588358089938 89192.3197380953","153.386923387658 .000635607658301 100139.144751723","155.692935388974 .000701269793472 113306.976175591","157.100661756839 .000780345480322 123808.954241333","158.762074246283 .000866533004398 134445.528766792","161.183434898995 .000955474647554 139605.568452553","162.760017180466 .000964993747795 148884.962630465","164.165579947016 .000980176606178 149508.451864642","166.599768582560 .001054722087520 153023.534465231","168.743454073899 .001111457711112 155122.054928810","169.841757631283 .001112864622686 164047.327746636","171.108283740201 .001146456289096 164928.110227817","172.713699603613 .001173931736819 179484.369930359","175.012624744236 .001175872279431 183147.590593568","177.314524374310 .001195627537292 184863.449859007","178.992472532194 .001264868022554 198203.284323295","180.771791103610 .001354054643563 208470.825323187","183.008247584187 .001405485808201 211384.147424275"}

    {"0 .002605519678470","2.93102323922850 .007026513290481","4.97261710812444 .009084929625408","7.41795004403198 .018507950135153","9.57869542431755 .023505864019805","10.7925780035842 .032998668229363","12.9096041724852 .039046386910172","15.6091834950866 .042246153225396","18.0336985350999 .045460214967046","20.8011664323643 .054082953113974","23.5403718883519 .063055917621373","25.7119794198413 .066507678580315","27.7507798638666 .072366803164986","29.9846193512950 .080866544111621","33.3780910059387 .086013358637036","36.6174889069184 .095033372707911","40.1247817683617 1.00498510947641","41.6446857158029 1.06507591340830","42.6529411251470 1.14512037457169","43.9361495305756 1.18531510859796","45.8829690296244 1.24879170557819","47.1573431386353 1.27795098640202","48.2164187424613 1.29694811883290","50.6627756234021 1.38173532571684","52.9853708391709 1.38563801262396","55.3888771883047 1.39355050366803","58.9906904315394 1.40344368748981","60.3655320681488 1.50289002110508","62.9015100502162 1.57491240600615","66.3638265527093 1.63241553604613","69.1403066880956 1.71141864724609","71.3413472624396 1.73014189268085","72.5310495624941 1.80608877929424","74.2353832048079 1.85683020554736","75.9808154211493 1.93059242687358","77.7523614194254 2.00179917936601","79.4875266780311 2.02000449270374","83.0653566666607 2.02284654388928","86.1977360133906 2.04881804039410","87.2910379346106 2.12255571465705","88.6234073633022 2.18779095256501","91.8619429396004 2.22519762709501","94.0596515829974 2.26888870507320","96.6301451252821 2.28697405482161","97.9312824264581 2.35539145993987","100.632263149632 2.43873666334893","103.302447636228 2.49751615698337","105.115257096160 2.50580557586303","107.337891904023 2.53191334082901","108.944471099446 2.55535223200055"}

    Returns: 0.3408175667818953

  10. 196

    {"86.2664859527924 .000000163534887 244.142093187232","88.4750607418979 .000001339103980 273.605073292665","89.8637148284114 .000002370524382 504.694629129631","91.3740926985418 .000003408438098 528.288831161795","92.9408033507828 .000004383431041 898.252137009333","94.0324383052688 .000004701909218 1047.68045956148","95.4666050082249 .000006236853909 1281.19393602073","97.2909508136360 .000007114770479 1356.94391187199","99.0423643930538 .000008629960170 1394.74102201273","100.796912056853 .000009842305353 1663.24252056816","102.129418503078 .000010096673843 2096.79034233819","103.445044215820 .000010995112698 2354.59301080601","105.004162867056 .000011667107100 2621.38034966075","106.422440136496 .000012245351491 2645.25465316443","107.934217616682 .000013380724170 2783.85079261455","108.938024614436 .000014971454686 2893.83716754741","109.949159309289 .000014987370293 3018.91908291451","112.072277119588 .000015554923102 3140.73751427373","114.346346344888 .000017049380109 3290.66509850750","116.562481089555 .000017094480270 3594.79342817562","118.584338983063 .000017267057152 3764.61326543038","120.668797204302 .000018069486783 3829.39223067040","121.945712328995 .000018962316943 4167.68698297222","124.161486141264 .000020595687163 4342.68729793712","126.040217288373 .000020720065246 4564.05607763106","127.530972048874 .000021348344466 4763.60121871731","129.001501501719 .000021688041800 4911.56727037607","130.684727475539 .000022538974248 5263.36017407314","132.374618830433 .000023759066661 5424.31066179575","133.821623373278 .000024012164466 5524.82066529238","135.399371413408 .000024984600173 5965.85682311169","136.649481509732 .000026077247307 6096.18959078421","138.600418034836 .000027248110121 6522.50598002796","140.188010850432 .000027364711530 6658.06393439966","142.169336656346 .000027933090157 7012.32762465446","144.045071868165 .000028761153655 7029.40579412601","145.670988277523 .000029985280885 7184.16067343352","147.845888607075 .000031062983106 7194.97999216570","149.745143489532 .000032260944880 7532.22996810302","151.310953539248 .000033817590243 7697.47355275482","153.136975114596 .000034980320152 8138.39233613312","155.173566042206 .000035536498996 8510.52326896095","157.362150653516 .000035666758828 8849.61482054093","159.454134449297 .000036958271031 9300.09161720381","161.233089406352 .000037278544584 9619.41740030666","162.796477475605 .000038204565667 9851.09909879237","163.933177862495 .000039119117281 9888.40260381768","165.889146888086 .000040368932341 10240.0552109345","167.134036945100 .000041553566730 10244.3665672358","169.307946053499 .000042781679291 10302.7369198138"}

    {"0 .001897025140465","1.43300888184951 .020894548006486","2.60914614872250 .032705950676058","4.83486715467372 .050563724184488","8.28767491663447 .053491662133926","11.9432639250758 .057786939425230","17.5105431676609 .062532117703028","19.5160155623076 .076774088430744","23.1836534726931 .094802379561881","29.0641345339418 1.04189783931433","32.9783486187094 1.13319416276605","35.4651337641224 1.27023942716528","39.6463117325260 1.34735270678447","43.2054171912747 1.43836017671295","44.2208718349095 1.56392555084053","46.9356609797265 1.67816876388518","52.5647752146793 1.75272396397364","57.9367513583503 1.87995670653194","64.2449978725777 2.06298656330432","68.1306790906096 2.18855576285609","70.0954988334935 2.33938634985318","75.2758994622653 2.50390845181238","77.5164445355120 2.51815158614103","83.3229614091364 2.70478595712441","87.5507816797511 2.83435385020596","91.9069586875999 2.96515615597192"}

    Returns: 5.046511380618432

  11. 910

    {"79.2593931972157 .000044736686439 14330.0796554023","109.294283685570 .000129160593570 16783.4260034239","146.803570091775 .000339624302490 43819.1740706605","157.486303620391 .000356061352908 69885.6739068167"}

    {"0 .002557599722339","1.56649828703523 .009789002820041","4.27194238979889 .019095073594660","6.06600390870004 .029276103626022","10.0203855696733 .029291583733457","11.5266355096891 .033820114711574","13.3254561676176 .047262063089551","15.3140507575684 .053565731291065","17.9802259264110 .054720447355461","19.6527356835717 .062731197850456","23.7223071808160 .070481147766025","27.6791209209227 .076217705268066","30.0714305964371 .080534581361937","31.9549158870191 .089177456486101","36.1127806750356 1.02133355002844","39.1787087443707 1.14401286705177","43.1092723420129 1.27022708948043","45.7735280504205 1.27342271042802","49.8469867311089 1.28894357493412","53.7593140729794 1.28907328283876","57.4285175514318 1.37965293937527","59.2361643867843 1.50912240395228","62.7576765214993 1.53072996003906","65.2405002915672 1.59827039463769","67.3890795500809 1.66842542204817","71.1106299089223 1.68064036900428","74.5229784226906 1.77893736313217","78.2483003364565 1.86046102976065","79.9691603458756 1.92372856633487","81.5011910201163 2.03617871319829","84.5816458386389 2.03861390397773","88.5512793590823 2.07277353801105","90.4708066536687 2.19885785286249","93.9136067223947 2.29838378583403","95.7731800268865 2.41212979890129","97.7382813080492 2.44356917433045","99.7026192981603 2.55143299006874"}

    Returns: 13.139554432003006

  12. 70

    {"126.038437394955 .000331881316917 49937.7748332168"}

    {"0 .004822022151829","1.35144129617012 .015648067183524","4.65951422632418 .019031255577593","5.67214749587829 .025615037320828","7.06006765851070 .033207190757670","9.63672622671455 .040532459676109","12.4929491960694 .050110132874242","14.5355814915641 .061004181742569","16.8880090069676 .071179650824762","18.5214335219333 .083733460048249","19.9829371345029 .095839764956584","21.6134970109194 1.06482403021473","24.3039324404151 1.11809830880587","27.6150031166938 1.17445825964161","28.7467696558619 1.28184972397963","31.9447437291374 1.29014609245288","33.8010167031123 1.34959909921287","35.4639435562640 1.40733563274147","38.5046058477230 1.52796500845757","40.5474577450715 1.56821647396642","43.0359673822797 1.67316422300137","45.0639726013131 1.78898415444556","48.1672416032686 1.90963825042853","51.1766655023411 2.01951133517404","54.1147311516148 2.06771880689111","56.0488645947641 2.07957067126656","58.1237204581033 2.11162203237455","59.9099043913274 2.21188453055811","62.6772863652908 2.31450562691849","65.7517035948242 2.35264394548259","67.4803232949271 2.39637977182734","69.7938795661437 2.51875692577261","72.1271710788021 2.58945000387767","74.1480315935990 2.65880962062402","77.4146832013513 2.76063295808836","79.4517236216953 2.85398713832914","80.7651675735109 2.98180036295126","83.6721786728188 3.03896446927346"}

    Returns: 3.294549602790968

  13. 846

    {"36.8389245888329 .000096882383532 5515.62392578431","48.8929272585267 .000261188228387 51184.5504045811","62.8301002320719 .000336297480494 112837.609163219","74.9916021839582 .000429474245219 178379.473126837","78.6999177248969 .000492711430094 237958.461022410","79.8277034419473 .000510487958316 273648.275735473","87.3538943866477 .000704470350011 317799.142009014","98.6928918544534 .000788564112945 337818.339976123","106.919391069836 .000943387874938 360051.552797594","109.166749127208 .001114439761557 423078.177718592","120.961476108417 .001210506653433 482701.979523323"}

    {"0 .010340452596370","1.44797110195453 .015297477427894","2.60306453074366 .025285828840706","3.97204425030715 .030020983756634","5.44810578777547 .031244031950141","7.94335446955335 .036646198158764","8.96061817949162 .045682327853457","10.9157446969458 .056176431554648","12.2842522304182 .057818721211407","13.8914565121651 .062511100643330","15.4623161109105 .066848462842656","17.2295614089458 .067346943237923","18.3650760068876 .075812226734700","20.7550620762038 .085721245659251","21.9858489412648 .090409314854423","23.3233375696788 .096134397825720","24.9257957977701 1.05666634154045","26.5146931966928 1.10002679908630","28.0478684362483 1.18927220734015","29.1779144389849 1.29507264421462","31.2797639233893 1.33126081343689","32.5972722416045 1.35961358065926","35.0970273346352 1.36504805370313","37.0847535013039 1.45725905473202","39.5911175243842 1.45827636879419","41.1316893595135 1.51853634318165","43.0370211406140 1.57593059300403","45.0146292323383 1.63760162195643","46.1791937926524 1.73266196404649","47.8381113910294 1.74016846011375","48.8743830673183 1.83300187119288","51.0317140710316 1.92242627005831","52.7843659098946 1.99100009994055","53.8810619623635 2.07131722231989","54.9186067100189 2.11179144605086","56.0489943243065 2.21151270217746","57.5831261523870 2.22509454697301","59.3570725666703 2.24042866358296","60.4483765946059 2.29877363021412","61.5890823705898 2.30033451117336","63.1686638863172 2.38174073816761","64.7467018495495 2.39098937922991","66.9418544830988 2.45224973969550","68.58261632256 2.51244231390163","69.7923027402221 2.58987412555191","71.1798654353936 2.67890376193697","72.9977445962608 2.76126419168467"}

    Returns: 20.577502760556126

  14. 15

    {"106.839284651582 .000050261427353 1517.35337530227","110.591802404587 .000496730264894 25214.5575041395","119.286643518940 .000704151079143 29665.4778146869","125.241500310127 .001110425113301 58290.9940319641","132.269315661519 .001525626425592 77725.0022134902","136.024111715304 .001532571544159 83085.8034069874","138.514412916681 .001789955208168 113562.640289467","143.158627737946 .002179557581441 122247.332913423","151.090427775220 .002641793208575 144994.195859819","156.229590427748 .003006765730517 174664.556634801","161.454108703257 .003234824039634 223517.967341740"}

    {"0 .006309520838077","8.22913678250225 .007801705058671","11.0959625522573 .007937012171867","12.2434403216982 .035786418534537","14.8718373390533 .062453622323032","24.1289499467003 .088714730462718","25.6840019119637 .099816561762149","29.7103712582680 1.21165633936137","32.0849011028383 1.54386216431192","40.4836440102590 1.79904809090764","48.5192818590221 1.93277325371186","52.9526365924813 2.01853989515004","54.6122514231587 2.29458667410476","63.8768913924490 2.55964302088011"}

    Returns: 0.6838376987880322

  15. 7

    {"128.614892992198 .000148531822915 20210.9220287393","129.943529035213 .000418268031279 26390.9515874788","138.955232794847 .000826512738351 40200.0426555331","144.196843189497 .000895017398778 42223.1656892360","149.699215355096 .000912515304427 49956.2127244304","158.119260598386 .000985921799345 70100.1123285301","167.534795077179 .001310271329783 88910.1967798416"}

    {"0 .007355776654163","1.87463993164818 .013703693324694","4.51689266202808 .019975293695780","6.05757185912573 .030238655394939","9.26236689786552 .041402980108108","12.7922984103041 .053263960193480","14.0837972866701 .060604898069859","17.2950622575253 .061513276542309","19.8635201685213 .073698904299247","24.1202652065522 .084265021442319","27.3916956441153 .090002481760496","32.1863901575980 1.02242565655656","35.4880373779719 1.04173447315030","38.3624312877831 1.04441359044463","40.8984756819795 1.08880422017911","45.6840901835851 1.14097031417867","50.3748979790078 1.25093369967004","53.8312609372269 1.37842648456976","56.2843544204645 1.48608550737927","58.9374291371763 1.52267637587991","60.5486110028721 1.54206631152032","63.8282302352586 1.65151596575679","66.9943844770077 1.65277122168519","69.3409008325450 1.71110611123039","72.9586028318969 1.74510619187742","76.9640451264944 1.77416269100786","80.8101714263766 1.78046319290212","82.6012974702227 1.78306188181122","85.9328600960546 1.81302738920492","89.2057454874798 1.89942219275408","91.9931968326450 1.99063000255938","96.5876781256800 2.02148863306541","99.8361831221141 2.04681013157852","103.253913731521 2.09569528617060"}

    Returns: 0.34555438664973737

  16. 31

    {"25.6638036802151 .000011795420568 16872.9068698256","29.7073802225844 .000061100282082 22848.5980152299","31.2354970312735 .000100629361040 40036.4110621707","32.8580240586390 .000127938585429 52625.3556725013","34.4684960933046 .000156563726336 63813.9532615307","36.8742307134827 .000188549904162 69674.9115775563","41.8901273863719 .000238931492504 80445.7283686441","44.3076097851811 .000253953446846 82839.3706427336","45.9284500351411 .000281153909574 94505.7349624193","50.4595299178733 .000300478445788 99323.0702893120","55.5173632285380 .000313371414068 112600.051829085","59.2802449190534 .000348856737440 121323.223677433","64.0216553952381 .000364136255399 140939.648910376","65.0725418901116 .000388471869322 143023.530349337","69.5809958572991 .000418140156815 162418.603065968","74.6017123535171 .000449280188632 178261.438674265","78.9684515217615 .000476284268932 197559.037808372","80.4619867741488 .000521145723380 205140.493136977","83.3767267109503 .000570608959609 214010.988977949","87.8613521791639 .000628216267579 234978.886868075","92.5969076185308 .000676394747886 240571.431976195","97.1320952535087 .000709835467922 246359.903509304","98.5925484168192 .000712497381411 247049.636084770","101.927073731610 .000747492900853 253226.220487828","105.589403512602 .000763703317884 262518.775340278","110.354616524420 .000780924974716 265748.736894341","115.243049340356 .000809262425417 270093.133128349","120.173048829713 .000868038558655 289296.483039552","121.527283139898 .000903590866126 301329.808282172","122.587600793613 .000953533592224 302581.088524832","127.570220419564 .000968590921260 311020.196060267","129.689083274520 .001008464608922 311988.484713611","131.546511958281 .001038016157165 312125.008112196","134.934536008833 .001066119057398 312433.137988585","136.128549652354 .001069046553938 313970.535745757"}

    {"0 .005686724909885","4.46646825774597 .025346292083743","11.7963383445264 .050066716291158","13.3071033135506 .066198429212992","14.9007788717958 .088129526955425","21.9338904408334 1.04123032819864","25.7005525111112 1.06805375174496","30.8175687886108 1.25973859810204","33.3756054552332 1.32879598592174","39.0437255924994 1.46913463140133","45.0598802339707 1.63751770784038","51.8646550954420 1.65871417022790","57.7580295277759 1.67608183814261","64.5815015482852 1.76702415729906","67.806300472542 1.92643512873473","73.0289376006560 1.99149905932519","80.4500699854121 2.05311787038185","83.7095769286114 2.16431750708944"}

    Returns: 2.1681019058201345

  17. 23

    {"138.429488283646 .000072830871018 2332.87460751949","140.114086352199 .000124074466519 6329.94133965796","141.606081977217 .000125032573527 7610.72617351626","143.284730918176 .000170057021979 8755.66099009593","144.836210851406 .000246154411293 13535.9247796044","146.628356610798 .000252800952885 19396.0263771585","148.330317450158 .000269407842724 21967.5401216621","149.813464456618 .000341866627721 24109.3541660099","151.435390521439 .000358816991407 28494.6902849547","152.694220372147 .000380142257451 31630.1376300013","154.473767653290 .000470415500570 37285.2323621657","155.756508724501 .000537127346567 40504.1802478504","156.916225015477 .000543800485768 42408.2967823327","157.995560716392 .000604988053639 47816.8639520558","159.517816952876 .000667617404378 51573.9724799747","160.679176940725 .000692454448269 55423.6038184152","161.872191698801 .000694583349451 58482.4816274719","163.522238017321 .000714392329168 62391.3876825453","164.959008485099 .000808208194860 64412.8993641321","166.684916129968 .000809594476174 70298.3136261199","168.117739327102 .000908510387941 74197.6467102378","169.599727339064 .000962363203546 79855.4501533935","170.682784447305 .001022258118406 82225.6527355974","172.017119226054 .001109507414851 82702.7184446127","173.046310410820 .001113673170773 86102.8671682552","174.707063475538 .001138710913255 88263.9295136468","175.812868337316 .001207308124867 93157.8780260842","177.304798826137 .001288545443577 95925.0338907212","178.530088465238 .001387053536130 100213.339317263","179.634349220739 .001442663640574 102134.076394483","181.038337659342 .001531103660145 102549.161264464","182.199244289430 .001605484022774 107649.124084210","183.736373424873 .001654426444364 113081.860844374","185.412287688310 .001701816094174 115018.519066203","186.932696892295 .001801356592048 120084.418982366"}

    {"0 .007781043737549","10.0879378575375 .023079729586813","17.0166050904801 .087742315142942","38.5451927855349 1.67621955858716","53.6624764863961 1.75240313446954","58.6903628877217 2.04699380674748"}

    Returns: 1.4375930947673374

  18. 28

    {"130.901096063943 .000008818305084 3843.51535094075","133.026681848468 .000071170014456 5900.51884860029","134.519912251117 .000117571108926 16296.7357995705","136.733390371647 .000226830559708 26806.6162612906","138.616544169376 .000322330909368 28748.7545189924","140.546311774055 .000421832869758 33387.3393597157","142.354636048565 .000532827328677 37545.3209814002","144.256069221990 .000546032505206 44525.0090556943","145.354219985186 .000560383815599 45190.3089530159","146.851501977225 .000655611586577 50627.7954191841","148.068250589575 .000768156017892 56398.3677864599","149.580199415034 .000780144527893 64241.2452532278","151.094492303275 .000853456704109 72947.1008881287","152.266725599661 .000870125575966 75050.5915272466","154.517961573122 .000884033948638 81935.6884283276","156.511061320410 .000903815129772 90689.5835939960","158.572755275298 .000936865773869 97737.6107870032","159.788627902161 .001018298368172 108210.836480668","162.213602614147 .001075088948142 114701.873357402","163.482980542788 .001151312377615 123866.680612754","165.695503749057 .001239844446952 128569.411995201","167.191925364587 .001281015129759 132283.185009318","168.695017491222 .001322183745358 141611.540567206","170.356107440651 .001399429092362 150425.098272943","171.565936978710 .001518004948910 155256.286343359","172.658695117506 .001595670620801 165903.660183734","174.500806594649 .001612625260966 166304.414241733","176.037403981014 .001679862000047 175382.016699027","177.107304431149 .001710391794778 178760.451895422"}

    {"0 .001972716812908","1.81680600061801 .016891992454140","6.65157238982442 .029272762798613","11.0768546601944 .041659006523778","16.2949302770297 .055011339103849","22.0912983791804 .061614536099507","26.2933900333315 .062294234141032","27.6201273364965 .076346691379768","30.6962623325157 .083736994291455","35.4542980309245 .093776122664703","36.4920336800935 .097943911089380","39.3856198828252 .098881327348518","42.5416439851686 1.13032062147217","45.9756003332844 1.14741509608058","50.1493549079531 1.21798599204871","55.3781156273925 1.30418791793948","56.4078765567673 1.40478308436808","61.5793707232920 1.42163037562272","63.0425330391296 1.52581322126403","68.2839847001631 1.65348861209913","70.3064842155347 1.76246041310360","75.1719153032055 1.79653880714560","76.5155491907873 1.79764872529587","82.3365932312332 1.91134941279400","86.7052228295340 2.07315253643324","88.3524596283445 2.20596541288712","91.8568179245709 2.33997335039311","93.2909726089809 2.46514708619928","98.5907914872292 2.51250913442495","104.274195142148 2.64655113670192"}

    Returns: 0.809800695465659

  19. 624

    {"126.678261113476 .000024138953426 9381.94290415370","128.284116953375 .000044778313448 22584.0806032243","129.639374083832 .000091100085710 29986.3015771508","130.852190605503 .000130267838259 41584.8665518679","132.740770789464 .000188701082758 56577.8863844143","134.558288009912 .000263242351532 76352.4934054934","135.563606224908 .000342423878258 83184.5582892079","137.326770344010 .000381257727806 106220.794071494","139.055521121607 .000407808020333 117091.619733759","140.461264338953 .000439753781460 133843.226170021","142.023451999300 .000514979726868 154178.297698044","143.991019835097 .000560709958626 174435.847513351","146.073832963660 .000601014958488 182443.825143334","148.250029356431 .000615628658926 196922.863412709","149.472548202592 .000690631685493 214865.183265078","151.097839816108 .000756006804979 231707.113486755","152.157212039758 .000785998389003 236328.419044908","154.060875459123 .000859414024355 240782.442131422","155.815703628750 .000902058514078 250007.490989159","157.406077199298 .000930693701656 262257.892078347","158.555230644863 .000961693521643 264581.558588079","159.887151372841 .000969958418153 270844.817368679","160.993585846790 .000974050066569 292129.263165852","162.808468473036 .000979574682991 310849.725915150","164.600735977926 .001021309873282 318449.100478763","165.604548262726 .001102126692326 333249.396796925","166.911635914330 .001136258175431 350875.566874570","169.081236358999 .001181935205798 359844.675683761","171.269448035261 .001219820713892 378729.255590386","172.454560394160 .001224690674553 388414.932836260","174.067396105358 .001281274346190 394648.719068618","176.095602876747 .001298406060647 402249.148223390","177.156593432791 .001381284350530 412172.095681886","179.185408679482 .001449501434715 433828.244088734"}

    {"0 .025869403196084","7.42487781298655 .031985023858460","9.41857862127695 .053630355643866","17.3769960896303 .061661633064673","23.2785775061500 .072233882649282","30.5125760125918 .075216784271615","32.5783389578179 .077506880616381","40.2334916030979 .096789577091594","48.2539778997371 .097581881473163","49.8402821693836 1.00031390533657","55.2377709046618 1.02598398807293","64.0876848953519 1.05344656902469","68.1102284400494 1.08795303289696","75.2958394397153 1.29999303224694","79.6513899492321 1.39369067371131","83.6490414635768 1.42008630359439","86.0541185533661 1.43773274061571","89.8524245065254 1.62660129130549","92.4152346247492 1.84167622800861"}

    Returns: 8.571322075714406

  20. 662

    {"115.819701977057 .000038208006677 279.720428876013","117.570086419144 .000083758796037 1490.75240263137","119.018951045837 .000107984438856 2312.40370546032","120.309677485306 .000184191467962 2808.00148119917","121.509886823575 .000297540884230 4782.37103683548","122.929966994442 .000371101229122 5877.65648133958","124.144099411923 .000405859184787 7847.62533818271","125.492933633059 .000522701398707 10002.4400506954","126.685835456778 .000556703832247 11768.6249109123","127.772294839489 .000598805312082 12304.5619458004","129.103876422502 .000628989682172 12600.5021378007","130.782381366471 .000741191339444 13699.4043335232","132.270481452451 .000795477522422 15672.5683983994","133.643662754662 .000901245250225 16927.6076532568","134.770908253794 .001011814677070 18300.3917219940","136.143760552335 .001129745640000 19915.6040459269","137.149253759146 .001143557800218 20562.5907347343","138.503559551349 .001179206855881 22420.7225209614","140.143899347128 .001261660671809 23039.1737584444","141.658145536749 .001301318889942 23465.7583936778","143.219471220415 .001319543973826 24301.7168512242","144.728593364630 .001382342516082 24584.7552635473","146.119079900147 .001398747096093 26245.8992133494","147.772197595805 .001490156896074 27320.3398441986","149.376288002061 .001532200363881 28461.0144225056","151.123456602072 .001625197763322 29753.9084365785","152.851739450169 .001745125567333 31449.6022700170","154.0947540727 .001784019718876 32287.4694649095","155.675567361566 .001901577783491 34577.6628648341","156.914914039724 .001944142090307 36437.2998280688","158.413249890995 .002051408271366 37347.5675231855","159.605123958702 .002094488753641 39006.2343515680","160.705467557323 .002198269420409 40717.7508084437","161.898124212860 .002249651080182 42432.4779530474","163.337085400985 .002252816168808 43010.1899842986","164.630461637693 .002311955495996 44982.1348932215","166.124114767600 .002428615228848 45305.3083207710","167.500671470124 .002430372578464 47447.6079804424","168.580333019915 .002526116753824 47645.2666584901","169.949503082529 .002566803926986 47690.6269056162","171.603127493780 .002651883545590 47706.4377194394","173.152624762697 .002729745479851 49913.4371023443","174.153080975668 .002777159299614 51953.9182352420","175.481358765154 .002898252225055 54205.8875438477","177.125721804780 .002906052533650 54554.9179316723","178.527738183944 .002940942144440 56290.3998119386","179.952280948970 .002979875171506 57462.5909913253","181.672985212238 .002995141872965 59092.2187317764","182.972021381275 .003039296442965 60242.2156562451"}

    {"0 .004908035983162","3.04753894679755 .013574537556864","7.54282944620067 .022248427201134","9.47037124325853 .033953131652641","14.3305678519116 .036645803495460","18.5880034369680 .044716023073228","21.5324065644352 .051058313781744","24.9411447083934 .060608513214858","27.8255438574651 .073961936246724","31.2064747784936 .088118650017203","35.0510037182279 .094543349084686","36.3312027770349 .099107019117423","41.5010758641264 1.01920990161539","44.1000042131634 1.15653729471954","46.8397576413926 1.26045929184422","48.4387508652714 1.38698766714420","53.1203145257136 1.46332505425071","57.5529145758300 1.57321656630129","62.8710290178658 1.71535261325906","66.0506612362851 1.77759837315921","68.0823051256457 1.83754398380613","71.9595371393313 1.89627271573150","75.5730663760868 2.00606522582234","79.6710584765201 2.01743603735721","82.8361433321331 2.11842273928577","85.9722330653449 2.15526909601510","89.5893887756738 2.24034939708706","94.5490196623983 2.35223633435615","98.4189019589977 2.36352819944875","103.643480610485 2.48884432425814","108.621285413447 2.49987984012801","111.614760836275 2.62422264814448","116.353731386481 2.70493636526122","121.505512287281 2.74140085674781"}

    Returns: 8.367658778416077

  21. 441

    {"61.435695587302 .000019170039575 729.093825566605","63.8173885781604 .000037598508334 3417.01940624755","65.7707400289439 .000043896540223 4099.07512954576","67.4077086432076 .000048639526542 4252.93870856305","70.1917687016128 .000075281698994 5345.26882192021","71.6342774958071 .000088751300925 5540.52327511039","73.0933312735944 .000114630303431 8114.13759303692","75.2583915032593 .000144063345738 10570.7600427015","76.4332679094388 .000165548469934 14066.4435305079","77.8276887662525 .000169855968681 16080.7168385468","79.5276393949054 .000181272326666 19127.5018188448","80.8195788105733 .000209056335428 20194.2409626499","82.5225385579453 .000215187033793 23804.6485570440","84.5749657514328 .000222678482488 24901.7951527440","86.6916383045544 .000252755192461 25241.5243638768","89.1982592604363 .000254704148013 28629.9683564644","91.7417411676025 .000258341428640 31783.4688559026","93.3999920454402 .000281642889753 32565.1044782148","94.9275108957031 .000297565253510 33070.8252637423","97.2381978310976 .000299851060025 34168.2271233460","98.6707014284084 .000317921556544 34240.5819479403","100.915576907056 .000338733034591 34696.9420445756","103.715693724694 .000369469741425 37137.6836842672","106.049610233184 .000375536003671 37625.2486230634","107.616469982751 .000380987119611 39465.3615830212","109.377892400877 .000396970988241 40874.6687873220","111.029792891950 .000426456900943 43424.7759285233","112.557479425142 .000459026978011 47082.6164294320","115.297101724281 .000476898347011 50860.4684457226","117.919870518956 .000479593947568 54286.1889784917","119.129728088481 .000507251719905 57393.4785147908","120.157695614772 .000511064502938 59185.6752360521","122.889063765296 .000524347290133 61976.4217766066","124.053129220662 .000533196073927 62492.4651036122","126.975808949319 .000553409028258 64527.4346632870","129.505807037639 .000564365078771 65735.4690470122","131.733667461926 .000572330454127 69483.4144567959","132.836512996807 .000575891775137 70603.8971849487","135.741028227329 .000581280702025 71075.3125315514","137.972812908995 .000604586509686 72003.3340488159","139.626942446038 .000612038820535 74737.7836402138","141.745767497555 .000630992619729 76438.2337312463","142.762984647801 .000643525711762 79405.6864920698","145.593138176896 .000675818286225 80613.2510769467","147.837335824453 .000678668809759 82761.0986566303","149.248783153530 .000700176588015 85763.9214585816","150.378129576093 .000724062515661 85930.7782121274","152.611649504290 .000747101990536 87902.3214472362"}

    {"0 .009454708526217","1.13013694866074 .019343780246773","2.18874663874753 .019544662008543","3.72660697798271 .021322952092055","5.70326015487716 .032233423135132","8.54518839338953 .040058570031527","11.7371602251007 .044903678270970","13.0203312274913 .046327202697244","15.3028044623440 .047860061438274","17.6211925761466 .050560389733333","20.0887427929874 .055051726574793","21.7608305496410 .064587037775084","24.3061881915223 .066342975279473","27.3007568350887 .072538729305841","30.6881915588200 .082311608870432","32.8483548306298 .087575580134635","36.0032274861180 .093976795708438","38.1430597116979 1.03426026997219","40.8863108122270 1.13836780292471","42.5628099097202 1.22195543518193","44.0720703721856 1.24048405056905","45.6342381164705 1.30958987375221","48.8931717120599 1.37644014902534","50.8714639343125 1.43336856526229","52.4785481919544 1.44495805479811","55.3839132310678 1.52594952066614","57.1053283039199 1.57108574072605","59.1350450295199 1.60494254089411","60.1809895130359 1.60721382803031","61.9281362131804 1.62958775815236","63.7554831455110 1.63876841966612","66.4503853953461 1.68095982166627","67.6229432079475 1.73601336577104","70.1012548110781 1.83780385450685","72.2355159423951 1.84325009476348","75.6062093225320 1.86035047603263","78.6345937019530 1.94573333698735","81.0429082591604 1.99845700635015","84.4087706435614 2.06532667062366","85.8879277159926 2.13734715941590","88.4395288667967 2.21524713032967","90.1917303803829 2.31323872817905","91.1954977725267 2.42135997295818","92.7504057117903 2.49031354030202","94.2358367817598 2.52154963062103"}

    Returns: 8.44099125105891

  22. 797

    {"87.8164488704586 .000011672915173 9489.22939501365","88.9746285402840 .000041076483361 15545.8232970349","92.5009833975440 .000069500300041 22284.2497250588","96.2646050882041 .000079573097687 38409.0833448480","98.8003663972362 .000080148356998 51048.4045347809","99.9218579233054 .000086367984016 58270.6650747126","104.883110409189 .000106953967388 73904.2980657063","106.225961573149 .000127935811610 90011.8974194971","110.468749468221 .000162262698790 103767.216882431","112.904790309221 .000180600017576 120337.373554096","116.360546879147 .000193683563608 128111.316224018","117.500338157170 .000229992723151 133636.554585298","118.626036585629 .000244440959045 150859.905703096","124.139697825693 .000244710152868 164651.719026072","126.865009368035 .000271367198483 173731.377164467","131.067332460495 .000280847128407 176519.703293181","135.202450615040 .000311469081079 189136.607038176","137.385079597359 .000341885640992 198730.689944847","142.954175337490 .000365150837088 205474.065518063","144.164615676962 .000385072568208 222471.297047517"}

    {"0 .009505202636386","1.50013679407356 .025289678145624","4.57697320719430 .029383737747863","9.76213626814961 .033575146109714","14.8158788473223 .033595377545344","18.7280329592666 .046092825868328","20.6273471898943 .050152045000976","23.1048775779216 .053636789388222","27.7365921629742 .060612069707701","32.6496179164479 .076336735326031","37.6434386083648 .086739724811748","39.331444755032 .097705301751914","41.7597780517657 1.10062476566554","42.8506549481725 1.19490562140180","47.6231534156980 1.23110831377442","50.9289558623996 1.24562406933473","56.0730999228147 1.25920810964936","58.5588355913137 1.31711371953037","61.6161971362044 1.49366859719796","63.7756978706715 1.59855006355054","69.0239194369751 1.73698356374803","70.6619542904259 1.89970420520277","72.5225537102658 2.08823965932462","73.6733468617488 2.13650316214550","76.6002964695612 2.31895953288410","80.6156932705368 2.41600107023965"}

    Returns: 12.302413599439909

  23. 253

    {"76.8393477643861 .000049401433357 20947.4190351085","80.1812806804672 .000089833540229 32668.5484366601","84.6769049576586 .000129019575279 36387.7154274837","91.6987004294853 .000182999859739 37332.3686024946","93.5543662303478 .000185022338390 43318.1490236876","98.3711215656015 .000239406809101 59909.5270348117","105.798792927989 .000246538582339 60229.3494490661","111.428142643989 .000255918925945 75894.1649871631","114.187145968615 .000271720720553 79470.2336975675","118.290064584523 .000313968033091 95255.9860045332","125.025420143902 .000335735781476 103439.085767437","132.711352023450 .000345760829104 111936.429750314","140.219887304899 .000373348286975 117189.378353501"}

    {"0 .010343060554426","2.92022225940265 .017311209435623","7.35032007753652 .022208207645725","11.4195508338743 .031457564772721","12.6178237192419 .047100269051136","15.1648724687921 .058859443731505","17.6306999153009 .067897127437047","20.8006552084440 .074601143617815","22.5644235933335 .091249406144601","23.6852045936389 1.07116700021357","26.0107728503706 1.11269938560693","27.1660996616364 1.19569520170212","31.2973916494276 1.20392497997466","33.4618486083865 1.24919825420689","36.5509155452321 1.33546292693251","41.0346558284706 1.51056269967517","44.6098144648375 1.64763961455630","48.1787427030244 1.76885796110161","49.6188806731103 1.85255405015848","53.9480731510429 1.97473435131100","58.8505033990084 2.10668093755539","63.7531616341067 2.18746042567929","68.4205225986027 2.24546883546169","70.066240508147 2.31036897261316","73.4131197308227 2.35304608926672","75.3031007142596 2.45539221062380","77.6156117630409 2.61434899667605","79.6146129449993 2.63957778545171"}

    Returns: 5.799296581381105

  24. 436

    {"35.6390418664534 .000036825884078 674.037095673172","38.0043025413906 .000066287449247 1097.42380566918","40.7872653438669 .000139467818497 2743.26631578184","42.8585438305265 .000178584418170 6168.14237643956","43.9803786223752 .000216055885042 8431.37977177357","45.5323546678297 .000265424089553 11329.9477862947","47.5234296822437 .000320187531612 11977.2212645365","49.5037124660899 .000355421720874 12835.1634390762","50.8176655940482 .000472364654167 16345.8228019879","53.5931152867756 .000564232665077 16956.7605795499","56.0288973623908 .000658277284882 17208.4337861136","57.7622548338751 .000700985527273 18391.4014057996","60.0212089270858 .000724125541387 20614.9781609662","63.3951698161179 .000742027258729 23032.2391939699","64.5146803430350 .000772139094634 25231.8536788443","66.1020679960016 .000788341323052 27054.2445914768","69.4477243339288 .000853319024609 30450.5124621059","71.6399963229546 .000926825717958 31309.9652062307","72.9170410352845 .001008115633651 34348.4278295538","75.3779896590436 .001103690391597 36610.8458323137","76.7297276347908 .001168293912766 39237.5172091817","79.3704859890051 .001236747988913 39699.3385133353","82.5472936488873 .001318775875704 41285.3899793795","84.2805005544252 .001402944917719 44111.8502757236","86.9995512064506 .001437200541348 45513.0977370405","89.1024473883038 .001549689193756 48727.3367585600","92.4059040519613 .001667276797760 49754.9566008707","94.2467972821552 .001678493932404 51508.2929318063","96.2339895735710 .001680549424610 55174.2372170361","98.9330807726171 .001701131917561 55755.6985121024","101.054814554638 .001730635885651 57084.9221581726","102.266920934872 .001813352500740 60173.9650412172","103.338323098331 .001837957551039 60818.6005142558","106.612325883546 .001951122114575 62091.8769162721","109.505166941104 .002036890623748 62730.2347896344","111.635650727584 .002125784938377 63790.0696008573","112.774342846570 .002175466974042 66564.3445534953","115.800752268246 .002244044676087 70081.3853357000","117.683382623676 .002290578873764 73139.6997134470","119.316184930691 .002328032930267 73527.5857544516","121.167924564265 .002336162980705 76643.2216210383","123.827074260088 .002433938727348 77427.0237471446","125.450464685070 .002460404525521 78851.1695056380","128.045164946234 .002571720004717 80997.0438192933","131.039669955768 .002588626548391 84299.0236639482","132.548677040570 .002628354647008 86374.1784568712","135.664581942951 .002637993432284 89999.1189481892","138.108446225046 .002735179770788 92227.7346757450"}

    {"0 .010037807121902","1.90219003713048 .020483046153715","4.09298263810070 .025991521650511","6.09346654657985 .037844016465318","7.75700490102527 .045131171128512","9.11247811035684 .051575802054647","11.5406603771967 .063060690946691","13.9755929842426 .070325277124224","15.5271371931411 .073005513063310","17.8471033407549 .083153937223227","20.8641487758758 .085425453915746","23.8827988366558 .093749134895577","25.2992629016603 .096855339472692","28.4709330000899 .098317751892606","30.0785704669926 1.04336832481388","31.9690610793872 1.13299209682156","34.7547034960280 1.15604138230152","37.5278687731105 1.24193028284036","39.1879949591518 1.28692990548298","40.3093987462261 1.29421097341703","42.7313153329872 1.35813867392416","45.9252452631640 1.44608391750510","48.4299130987189 1.47758217464976","50.8705545725435 1.59461929655872","53.4111335709651 1.68650366615657","55.9174881615075 1.72440502187249","57.0187826544491 1.81548173937687","59.7386079696524 1.87301709259828","61.6603986157115 1.89482461663154","64.1593314501925 1.94199124394174","65.6343461945729 2.03917248708753","66.9600183640942 2.10579717480852","70.2301554657223 2.20047707083558","72.4949182584252 2.26291509056370","74.835088408054 2.36714663613642","76.0889093549796 2.46620825536688","77.7990955500282 2.53521689162751","79.1216867012139 2.61468013126533","81.8283619285997 2.72560421918593","84.9561791845597 2.76497324711449","87.7526610802891 2.78841515661764"}

    Returns: 12.024547329005115

  25. 459

    {"53.8934240641544 .000024167052212 161.109350596440","56.8827057056962 .000079440970583 1549.16216276279","58.8410976137749 .000112900844241 2193.10779744640","59.8803467078098 .000183615898579 2667.82168977280","62.9330296188191 .000228595362710 2885.69737377941","63.9960544478654 .000305144470680 3414.71079950868","65.5397820705132 .000310877100629 4798.29491613624","67.7565107702869 .000374830525004 5377.58738228464","70.6861117174515 .000416531368040 5803.82057806174","73.6915907328281 .000458704553051 6436.40643304280","76.3457028832293 .000500989323076 6723.46537821824","78.4024527679694 .000570886150855 7710.55024345324","80.4926988913902 .000627482990596 8041.13681993223","81.5045405278419 .000632583169402 8282.72051594459","82.6732286453735 .000649422312218 9082.82593283174","84.2765845981112 .000689544233388 10372.3750062343","85.9624956881742 .000734332718600 11784.7602006004","87.1516475405986 .000793821847511 13113.0387510802","89.7997843560347 .000797492719990 13518.7476637063","91.8972211507377 .000831893324714 14668.7329702759","95.0192602377555 .000858239931089 14765.0569859823","96.6212219650931 .000887880588573 16142.3777215882","98.3393494679483 .000889139687907 16489.7215083407","100.162109463764 .000920721769075 16612.8838777228","101.258462578991 .000953070513271 17478.2184126935","104.366944855262 .001036672055150 17534.3778767518","107.494784731034 .001080385975064 18952.3843797772","109.474211359044 .001160539055743 19022.1626571662","112.577555920891 .001195130949136 19749.4588711676","114.358660930051 .001233847449943 20482.4055507073","116.023897783617 .001235907483616 21210.0516950100","118.683438490036 .001238933477778 21216.5818901782","120.857366274030 .001239903084947 21676.0362712582","121.934401011721 .001286265170169 23201.2790204030","124.616735029762 .001373786972227 23264.6509533027","126.806537503711 .001392635563852 23466.5540883582","129.395454552281 .001414534999368 24725.5078886809","131.187333951227 .001479558555305 25838.7759604414","133.310081957718 .001568438208771 26181.6847060985","134.372567585858 .001611557058007 27547.9504769383","136.457680896030 .001629258472677 27558.5663949847","137.999613526071 .001647326913058 28358.8778872054","139.350924831707 .001672773413681 29347.317090653","141.861431168127 .001697735197719 29700.4872416666","142.881399307093 .001718409919782 30920.7889560862","144.710877531619 .001777434729233 31254.8649682964","146.457876947545 .001778051382649 32513.2934812127"}

    {"0 .013399850627483","1.30385654638802 .026880334685800","10.2274556541674 .038456640877036","11.4603612001400 .048806306273273","13.8466460861212 .049021673773740","17.1230386313190 .064198011014131","26.1705047997277 .094856882090807","29.7661365408020 1.15652864808190","36.1938389744710 1.19044482356320","39.4807707988400 1.32832538223156","42.2931979007778 1.58244814403585","44.7912019409206 1.68423693346953","52.9361962628703 1.91623700094773","57.2851075874806 2.07843793069517","65.8236186251674 2.13385761031451","69.4831028613703 2.3418913999369"}

    Returns: 10.018415150274985

  26. 905

    {"146.149890248115 .000213547868277 16970.2975625469","147.919469741092 .000447072398570 30671.0033906488","149.145289789568 .000593375188920 44521.4260799687","151.399227727748 .000737084750463 58096.7457136181","153.042536127063 .000931371944568 65407.9919838735","154.324516619313 .001006445909696 74771.9118064255","156.853984014683 .001033924470003 90285.6181843141","158.311157754369 .001148316651977 98978.2425172398","159.923204737598 .001232280854864 113971.198268362","162.058841006317 .001352720767615 123972.913764779","163.363803077754 .001409781360025 126763.507878178","164.849124620868 .001432036569322 127708.286205160","167.229495893852 .001600611989768 128505.058611692","169.674537197042 .001633917870749 133184.269367439","172.258919142887 .001760759700583 150203.159454998","174.418716970179 .001811796511014 167294.507409195","176.313970763424 .001911660478376 168776.738591980","177.484559687041 .002106550712760 182114.557674908","180.206518975865 .002296982597825 192176.576523054","181.486199397266 .002500407721065 205132.332130231"}

    {"0 .001910378451543","2.95728294897324 .011154692482763","5.72541324222132 .018043632397151","7.23191901942071 .018922732906094","9.97512078358853 .028299716084001","11.4480522668023 .033789037619663","14.3110221183155 .041238001334902","17.5433145175994 .042388695826925","21.1946207993853 .043870821358051","22.6277293382210 .052223440834191","25.8409331339643 .058874871714328","29.3030212874005 .064031234813242","32.1199618514115 .073554959814762","33.7234824948470 .081447595616414","36.7403263134416 .089889452694077","39.8441420097928 .091519138738299","43.2044493382526 1.01625488577345","46.6564810812718 1.05684618864904","50.4016508353664 1.06249650008966","53.2580088014742 1.07906754427598","56.0276392564471 1.17283211596788","58.1216590973108 1.23182842438057","61.6301482439603 1.26703824806319","64.5466064830874 1.35397162151693","67.8601529853621 1.38924455685686","69.6521364122902 1.42283628710101","72.9537192960876 1.50545751433581","74.3664844837933 1.51856644932837","77.0499241685411 1.57086671898408","79.4932031895695 1.57505137873406","81.1250805205748 1.66720361345991","84.8262274068114 1.69826240403444","86.3333014118549 1.75161431144504","87.8521020394708 1.78164532421850","89.8570867903277 1.86647250281818","92.3694327368572 1.90933718465392","93.4774113187041 1.93143062734045","97.2497768381478 1.96676980840911","100.068022546473 2.01775637057437","103.725778347886 2.03850206685642","105.458575435207 2.08359567935362","106.603797815372 2.14952383017196","107.693120583806 2.21604521153035","110.748742706495 2.24176580658590","111.788943194197 2.33727500763507","114.574707626761 2.41093285000403","117.783366238281 2.50538499482380","120.081146140636 2.56968942066097"}

    Returns: 10.106259724046373

  27. 143

    {"144.724454959218 .000001664683732 2821.91293196472","146.221973283283 .000002003537572 6060.36747706933","147.515607835861 .000005327073004 9025.21691359389","149.027968307311 .000005390514563 10668.9243301309","150.237198809372 .000008207506379 16110.3933564090","151.535018951244 .000008993458079 18144.5131204078","152.951726082151 .000013121468625 20148.7498181035","154.130685548023 .000017730137159 24735.3343637642","155.216714204007 .000022382780014 26722.7923179781","156.607246052186 .000028911654808 30851.4523094795","157.676659791004 .000031429018251 36391.9691725393","159.141812947121 .000035204199270 41744.5079059788","160.412419783499 .000041600640878 43946.3941324329","161.423556798993 .000048469958252 48817.5731293872","162.733187814783 .000049719656413 49162.1211942422","163.892032702823 .000053517459315 49997.5467715401","165.000074013945 .000056252221513 55579.3318757908","166.145280161108 .000063248572882 59309.1277331976","167.494260431289 .000068827480354 59423.1791364318","169.004170966812 .000072843277927 60065.0312365058","170.203589341975 .000079464913276 62164.9116943894","171.445191141214 .000084370078561 66285.1443012523","172.628582805378 .000089216943117 69035.3620069927","173.728437202262 .000091560779174 74175.80268282","174.802379423644 .000093623631716 76643.3434859404","176.006624977620 .000094092532325 77434.8389194730","177.435503564010 .000096711561662 79283.7941078056","178.881032196172 .000103640882164 81687.1053262852","180.242963106694 .000110264321232 82378.8479263328","181.563449216485 .000113731108210 83769.3860686374","182.934687892055 .000116410887729 85767.2927097048","184.229491471239 .000118464557414 88907.8542281431","185.315460941066 .000123467374881 94065.8634128584","186.836323677286 .000127256006709 96284.2383295113","188.004736112096 .000134548317974 99012.5043637123","189.217560388611 .000140034804315 100907.967304316","190.660284759711 .000147328909358 101834.127579845"}

    {"0 .010890385914949","2.85696797663700 .023851303094832","4.12246709407284 .028777678554701","8.32080000616166 .036803501677718","9.9299607044817 .043144879019069","11.3753600462570 .057083891173960","12.8712194885627 .065566222971108","17.3659152066488 .072930571816558","23.1445441343789 .087254387397420","28.5779111448625 .097112984580355","32.2461116045522 1.08709673960877","33.7394699525635 1.19636092341123","36.9208281442403 1.26792001835892","39.2181225746900 1.39370261962980","42.9949577678536 1.50175068987985","46.8561201988601 1.57849242553599","48.2153552108804 1.58747484989225","51.4934373919032 1.65589582147831","54.0001547394086 1.77073758335763","55.4638197597473 1.81482913404943","59.7558076595199 1.88120273465210","63.1195232095200 1.95074363352375","65.2868182408468 2.06439413942455","68.1987648371836 2.07717439857579","71.9508463859599 2.10865317067543","74.3063589593858 2.22664697113613","78.1678604004928 2.28358945777359","82.6844147513985 2.31465833634378","87.6760167514414 2.42049813754446","91.6646555762769 2.51202205265061","93.1651866315604 2.53108342485580","94.7713798462822 2.53815594035784"}

    Returns: 4.044125738755083

  28. 987

    { "10.50 0.00002 50.53", "15 0.00007 70", "031 0.0002 150", "033 0.0002 150", "035 0.0002 150", "037 0.0002 150", "039 0.0002 150", "041 0.0002 150", "043 0.0002 150", "045 0.0002 150", "047 0.0002 150", "049 0.0002 151", "051 0.0002 152", "053 0.0002 153", "055 0.0002 154", "057 0.0002 155", "059 0.0002 156", "061 0.0012 157", "063 0.0102 158", "065 0.0102 159", "067 0.0102 160", "069 0.0102 170", "75 0.0102 200", "080.012 0.04 300", "85. 0.04 1000000", "150 0.04 1000000" }

    { "0 0.50", "30 0.40", "32 0.40", "34 0.40", "36 0.40", "38 0.34", "40 0.40", "42 0.26", "44 0.40", "46 0.40", "48 0.46", "50 0.40", "52 0.40", "54 0.40", "56 0.40", "58 0.40", "60 0.40", "62 0.40", "64 0.40", "66 0.34", "68 0.40", "70 0.40", "72 0.96", "75.5 0.37", "85 0.42", "88 0.63", "90 0.87", "95 1.30" }

    Returns: 15.348285714289156

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