IESNA:LM-63-2002 [MANUFAC] BION TECHNOLOGIES GmbH [TESTLAB] Alexander Weckmer Licht und Mediensysteme GmbH [TEST] 20191127133933 [ISSUEDATE] 2019-11-27 [LUMCAT] LIN-XS-TW2240-XXX-324-52X52-XXX-OP-XXX-XXX-XXX-Y01 [LUMINAIRE] linea xs, tunableWhite 2200K-4000K - XXX, 324mm(12.76in), 52x52, XXX, OP, XXX, XXX, XXX [LAMP] [OTHER] CRI > 85 @100% [_NOTE] For support please mail to: info@biontechnologies.com TILT=NONE 1 788 1 91 91 2 2 0.324 0.046 0.057 1 1 14 -90.000 -88.000 -86.000 -84.000 -82.000 -80.000 -78.000 -76.000 -74.000 -72.000 -70.000 -68.000 -66.000 -64.000 -62.000 -60.000 -58.000 -56.000 -54.000 -52.000 -50.000 -48.000 -46.000 -44.000 -42.000 -40.000 -38.000 -36.000 -34.000 -32.000 -30.000 -28.000 -26.000 -24.000 -22.000 -20.000 -18.000 -16.000 -14.000 -12.000 -10.000 -8.000 -6.000 -4.000 -2.000 0.000 2.000 4.000 6.000 8.000 10.000 12.000 14.000 16.000 18.000 20.000 22.000 24.000 26.000 28.000 30.000 32.000 34.000 36.000 38.000 40.000 42.000 44.000 46.000 48.000 50.000 52.000 54.000 56.000 58.000 60.000 62.000 64.000 66.000 68.000 70.000 72.000 74.000 76.000 78.000 80.000 82.000 84.000 86.000 88.000 90.000 -90.000 -88.000 -86.000 -84.000 -82.000 -80.000 -78.000 -76.000 -74.000 -72.000 -70.000 -68.000 -66.000 -64.000 -62.000 -60.000 -58.000 -56.000 -54.000 -52.000 -50.000 -48.000 -46.000 -44.000 -42.000 -40.000 -38.000 -36.000 -34.000 -32.000 -30.000 -28.000 -26.000 -24.000 -22.000 -20.000 -18.000 -16.000 -14.000 -12.000 -10.000 -8.000 -6.000 -4.000 -2.000 0.000 2.000 4.000 6.000 8.000 10.000 12.000 14.000 16.000 18.000 20.000 22.000 24.000 26.000 28.000 30.000 32.000 34.000 36.000 38.000 40.000 42.000 44.000 46.000 48.000 50.000 52.000 54.000 56.000 58.000 60.000 62.000 64.000 66.000 68.000 70.000 72.000 74.000 76.000 78.000 80.000 82.000 84.000 86.000 88.000 90.000 0.172503635 0.329385349 0.166463741 0.118768332 0.118768332 0.157159853 0.23841012 0.249887484 0.205572738 0.154936452 0.101979794 0.135697108 0.122320808 0.1423531 0.085669804 0.141366031 0.121204655 0.117728639 0.057124189 0.052226949 0.095123204 0.072707501 0.105104088 0.118175173 0.149623029 0.073529818 0.001698411 0.114912079 0.121321326 0.099730216 0.009696826 0.072074933 0.114832379 0.060263775 0.087848255 0.008361862 0.122146387 0.084924334 0.056820854 0.159623253 0.109626002 0.076425178 0.076425178 0.066265034 0.069225206 0.018273684 0.161414784 0.025733219 0.029268227 0.018329986 0.171565411 0.035023587 0.002575004 0.127545536 0 0.069486308 0.070650776 0.078473826 0.117762462 0.036996555 0.065131402 0 0.108340825 0 0 0.118114094 0.101589572 0.1322846 0.102471304 0.036747579 0.029192917 0 0.00550119 0.033811407 0.022499901 0.097910529 0.033327623 0 0.058728552 0.090293736 0 0.096265984 0.032638834 0.01595324 0 0 0 0.055974357 0 0.067911531 0.000959117 0.18750541 0.112943698 0.138949947 0.124810564 0.171253719 0 0.23841012 0.12722179 0.064833663 0.14457803 0.104678064 0.031555838 0.057045425 0.060443117 0.085669804 0.001682746 0.045974403 0.117728639 0 0.052226949 0.161876969 0.026571441 0.107961397 0.145926626 0.039488119 0 0.124900699 0 0.057536036 0.239168075 0.06555166 0.040946261 0.021123554 0.118467254 0.118950579 0.181385096 0.08953113 0.083459158 0.01820513 0.197300897 0.038421432 0.121256019 0.143230874 0.124335875 0.127194534 0.077346104 0.043944169 0.025733219 0.116782859 0.065884131 0 0.075404233 0.107872163 0.018957067 0.061739341 0 0.101863033 0.115754411 0.06041712 0.037214685 0.032474622 0.115309767 0.113562854 0.128724208 0.011008891 0.011652541 0.101589572 0.125271221 0.007005038 0 0.080769073 0.093225258 0 0 0.022499901 0.060190274 0.123109978 0.055036826 0 0.025615883 0 0.067386207 0 0.049267442 0 0.021056233 0 0.108779712 0.050800201 0.067911531 0 0.300794712 0.208181774 0.232328037 0.248383267 0.200554726 0.243067236 0.248111425 0.223605525 0.199496593 0.270774251 0.173232715 0.118420388 0.071282525 0.114933218 0.090754032 0.175578454 0.167957253 0.148925433 0.04969907 0.001016974 0.155062748 0.051464235 0.004429379 0.108636055 0.194566375 0.10655802 0.168836286 0.148326158 0.121505192 0.177170196 0.131479959 0.129709028 0.095051331 0.100946938 0.075305202 0.104041457 0.1434957 0.139766283 0.079951775 0.137499793 0.038421432 0.102151786 0.059890609 0.150337986 0.122312263 0.046542644 0.144307358 0.0773225 0 0.165931121 0 0.075404233 0.041028425 0.053436448 0.045436548 0.008262735 0.16884834 0.122044289 0.06041712 0.100879112 0.052359748 0.049402086 0 0.089545181 0.057691684 0.140312036 0.101201689 0.067975651 0.171447571 0.09018579 0.08046393 0.041318501 0.164134283 0 0.009077328 0 0.088174232 0.036359723 0 0.079948654 0 0.015956631 0.072207804 0.033884612 0.084336698 0 0.050710885 0.077245085 0.089577339 0.113838834 0.071905378 0.149380332 0.254880219 0.176926869 0.203526367 0.354804286 0.221902059 0.080357847 0.300096937 0.221166683 0.184645042 0.094986653 0.101031135 0.198488295 0.043768992 0.073731505 0.159852996 0.084032887 0.010778886 0.204518743 0.159678125 0.169765515 0.080176023 0.075642351 0.113081958 0.196757033 0.094420121 0.072217258 0.052720537 0.050323299 0 0.08746406 0.098357422 0.093016833 0.086498004 0.032615374 0.11829823 0.216656462 0.104405952 0.092603133 0.137499793 0.038917809 0.167306253 0.04650973 0.193211483 0.130623504 0.139208116 0.118858016 0.117864111 0.115418432 0.044782436 0.207088829 0.065545021 0.177751571 0.033406972 0.156138602 0.222852787 0.014152561 0.121725311 0.143137232 0.201640834 0.094497122 0.004568357 0.181448784 0.091563351 0.015563837 0.259958501 0.098442429 0.014566387 0 0.112786638 0.088534085 0.108985887 0.039253248 0.063931528 0.119984694 0 0.027799956 0.065645464 0.003689201 0 0.038207925 0.087391521 0.006537784 0.040764931 0.159179868 0.020482297 0.085683837 0 0.086499426 0 0.042284053 0.179855063 0.318242076 0.172327774 0.267588698 0.182351386 0.186909822 0.284472318 0.242489999 0.278177583 0.235861623 0.249268508 0.197484854 0.160686963 0.198769492 0.141508518 0.200897991 0.1069513 0.236821166 0.142531569 0.145459942 0.164142829 0.245610425 0.109435029 0.141538923 0.196757033 0.064200132 0.182465088 0.06206673 0.097738626 0.141317455 0.218408143 0.216271637 0.190250276 0.111163502 0.169306568 0.099243653 0.147755217 0.194582297 0.104555996 0.129852685 0.076789862 0.164825222 0.131180411 0.15710795 0.247123457 0.095484641 0.102519879 0.1575212 0.140773681 0.139458819 0.070825305 0.221706139 0.156643785 0.216708816 0.156138602 0.07043726 0.207899047 0.212059616 0.253032107 0.103170429 0.152016714 0.242301814 0.222249733 0.215269546 0.015563837 0.259958501 0.168328404 0.184803451 0.227942853 0.224979397 0.113520126 0.222096181 0.117984379 0.112037678 0.116319145 0.012426787 0.071626609 0.014371645 0.168091374 0.013665935 0.038207925 0.047689076 0.039893957 0.025287235 0.037586575 0 0.085683837 0.097746992 0.032324794 0.021016599 0.086046218 0.191865316 0.29112597 0.250330329 0.217090042 0.182351386 0.2010179 0.223921714 0.107485899 0.163658335 0.135748382 0.183208021 0.239959133 0.160686963 0.129562582 0.120009432 0.066164114 0.113631129 0.148024721 0.201322306 0.130917474 0.101978534 0.242121366 0.215956617 0.123850932 0.180443814 0.196878921 0.128124572 0.139509733 0.130793607 0.186718129 0.214193962 0.304462331 0.179276567 0.258493325 0.215382619 0.249853481 0.137484231 0.194582297 0.104555996 0.259043846 0.165850162 0.164825222 0.176014822 0.207949872 0.167636026 0.125888487 0.119338012 0.28602367 0.196275778 0.056455972 0.389194999 0.221706139 0.318534877 0.247190742 0.203459531 0.263288971 0.134847669 0.253103441 0.15941186 0.11260538 0.194704185 0.229537923 0.203398632 0.368881331 0.113589031 0.113657126 0.094895979 0 0.062564933 0.099018587 0.231066967 0.217694445 0 0.013242169 0 0.012426787 0 0 0.051066538 0.013665935 0.003349609 0 0.049320335 0 0.030714252 0.012812313 0 0.116766398 0.032324794 0.057843707 0 0.240297901 0.359242993 0.238340765 0.350746986 0.22585978 0.210374141 0.195004183 0.237347939 0.206992038 0.135748382 0.193704253 0.259342404 0.179613895 0.141089061 0.191147031 0.202586884 0.173140242 0.147317859 0.284838072 0.242196568 0.119723737 0.278527685 0.248963113 0.150992224 0.245018705 0.173588214 0.181940474 0.135707903 0.14046145 0.165847374 0.126667762 0.214618277 0.391450874 0.333101183 0.223192184 0.243781923 0.246653985 0.178713183 0.316691893 0.188980031 0.26943735 0.29059479 0.176014822 0.35316163 0.281794467 0.362445997 0.290636889 0.189725842 0.300730665 0.281813088 0.29758856 0.384304002 0.394352171 0.188244654 0.33127556 0.269972398 0.342045523 0.368745679 0.352245985 0.23870499 0.218139899 0.320968682 0.40373225 0.368881331 0.252519188 0.665463751 0.381744621 0.300875581 0.230404903 0.219669663 0.258882647 0.238699143 0.143333332 0.262291917 0.166118406 0.072767203 0.094931781 0.067607674 0.051066538 0.044853985 0.028554727 0.146991865 0.053428433 0.111689285 0 0 0 0 0.04694089 0.057843707 0 0.240297901 0.102021712 0.374681226 0.268013553 0.312040804 0.189545484 0.318558175 0.237347939 0.261207877 0.201462185 0.190346797 0.23565077 0.266884266 0.286463997 0.347772376 0.469533218 0.457323626 0.479011797 0.447764718 0.720292629 0.571923384 0.521550394 0.60268192 0.522998568 0.69223884 0.700421806 0.644806097 0.66582123 0.679310692 1.172506219 0.739054136 0.755089486 0.779612837 0.887947185 0.9132911 0.867434808 0.897208524 0.854815384 0.924680219 0.944287566 0.831795439 0.897120819 0.902254603 0.911641338 0.866694753 0.974174895 0.993882091 0.955139658 0.970457982 0.927526374 0.93825253 0.949841347 1.008767735 1.046302082 1.026219776 0.935913717 0.828824247 0.963280525 0.863833216 0.799001505 0.730366076 0.775360606 0.7507079 0.722002481 0.662593218 0.665463751 0.593242652 0.582394248 0.590740842 0.575926352 0.473295289 0.615011691 0.573807657 0.475042652 0.187176447 0.05882769 0.127395852 0.194645625 0.030848077 0.098245069 0.063886704 0.076709425 0.041518254 0.041949117 0 0.03289757 0 0.042404799 0 0.046917457 0.004010892 0.257658909 0.232966533 0.311961734 0.266715691 0.362101112 0.256262637 0.314139438 0.223677848 0.257250426 0.215187868 0.23133656 0.202546854 0.277551501 0.24498902 0.403821395 0.469533218 0.592881755 0.423271232 0.688033474 0.720292629 0.730018582 0.897693468 0.849388798 1.103878256 1.0127779 0.954742959 0.644806097 1.143985297 1.188722288 1.172506219 1.180895361 1.209769804 1.271151046 1.357641242 1.424118397 1.503447329 1.406826475 1.502101612 1.462123205 1.901914461 1.408311621 1.517969557 1.645518511 1.517001648 1.538935215 1.542265324 1.697223365 1.520095178 1.584885689 1.53845216 1.547838895 1.436871224 1.383388872 1.379836575 1.426854808 1.322730863 1.31637379 1.312055982 1.214073219 1.121664027 1.148823041 1.359879306 1.099382338 1.030297406 1.010646881 0.930160237 0.827791391 0.813958843 0.818434341 0.843599607 0.654699995 0.679238549 0.530486817 0.394525153 0.31429416 0.18732775 0.177856368 0.167820252 0.087328157 0.085513472 0.009803701 0 0.083357995 0.015804294 0.1130386 0.105305316 0.012398217 0.042404799 0.020924872 0.034877465 0.012501395 0.251511519 0.253450575 0.304431476 0.248328845 0.255089543 0.330938951 0.221552407 0.168695418 0.241988413 0.20464279 0.25017039 0.307945632 0.233925266 0.314751668 0.360599684 0.626274874 0.59245753 0.666128694 0.749822839 0.915746854 0.933047772 1.017431237 1.074412813 1.103878256 1.144781393 1.142774511 1.258181429 1.315882639 1.282119178 1.370182676 1.440627717 1.490783557 1.547682374 1.736650352 1.651278288 1.630495237 1.844495708 1.820368155 1.732192215 2.199630037 1.834265201 1.979852699 1.906621772 1.862720457 1.937823333 2.061318046 1.697223365 1.957453169 1.891813489 2.028007055 1.879522128 1.819134881 1.857293511 1.745367826 1.648658817 1.725521201 1.624898279 1.528784767 1.521361735 1.62109321 1.57779189 1.594969571 1.167370726 1.240720393 1.22055263 1.144739114 1.13052363 1.005341374 0.889675118 0.843599607 0.775921111 0.679238549 0.60183428 0.50443856 0.385094611 0.290768852 0.250407959 0.129913404 0.00542785 0.096499775 0 0.063762459 0 0.095199935 0.001315103 0.0928076 0.152411164 0.001187062 0 0.069113321 0 0.254595694 0.277858425 0.268594478 0.356036931 0.310124956 0.253774231 0.350037246 0.287012628 0.13342891 0.268037121 0.156764504 0.227407625 0.238603521 0.446442839 0.323639966 0.626274874 0.688531282 0.755256081 1.065172703 0.969898466 1.043867918 1.017431237 1.139222215 1.131419575 1.376238402 1.408275639 1.345041338 1.37531637 1.478775553 1.714694297 1.82575732 1.828172594 1.547682374 1.956174918 1.985477543 2.080956877 2.132124703 2.200293 2.341641849 2.199630037 2.354165292 2.287320224 2.328118114 2.365697438 2.437834521 2.304425941 2.38434947 2.334978032 2.354704119 2.312660361 1.879522128 2.17158947 2.195127822 2.179197808 2.030001342 1.851930434 1.988112306 2.232974311 1.85138711 1.804527196 1.773530731 1.594969571 1.523356922 1.494807215 1.405460968 1.383135201 1.298614105 1.182207795 1.087359941 0.982227607 0.883028842 0.91006174 0.682319755 0.627586858 0.458447066 0.383573753 0.136280552 0.129913404 0.057977145 0.025711451 0.047827651 0.091995942 0.001504468 0 0.059247336 0.121112542 0 0 0.026300094 0.003389712 0 0.298419018 0.294010986 0.208913463 0.206234712 0.350042374 0.25068178 0.26155771 0.277778546 0.251705011 0.268037121 0.307238142 0.265896567 0.410258887 0.321350628 0.528212412 0.560699691 0.732897121 0.85606305 1.07284221 1.034245502 1.36532784 1.34962721 1.399792046 1.504418836 1.497891749 1.615475562 1.676636416 1.844542484 1.925114584 2.017099192 2.001625247 2.100384315 2.332388247 2.362594014 2.38208442 2.51872326 2.519335849 2.667665155 2.664927845 3.275876119 2.73906911 2.840303721 2.903429178 2.879019169 2.815897311 2.975042726 2.970044863 2.914256082 2.842369973 2.820989626 2.336664676 2.696808562 2.730532443 2.542627726 2.481499256 2.555561361 2.363281265 2.232974311 2.108768059 2.09424853 2.079812658 1.926473795 1.8226431 1.84852926 1.675580352 1.50736574 1.550828977 1.380719027 1.21596226 1.118869146 1.108230247 1.049653781 0.682319755 0.644539203 0.455268979 0.342746987 0.261563107 0 0.015691617 0.034915273 0.056547798 0.10279379 0.026590565 0.054704804 0.052324046 0.05714979 0.024927903 0 0.001959849 0.03414682 0.038954042 0.367924216 0.285952786 0.252741825 0.259048883 0.332814139 0.319161589 0.141092569 0.277778546 0.184488251 0.221709917 0.214402026 0.265896567 0.26512341 0.384617583 0.539749865 0.710781217 0.80060854 1.176084603 1.091417781 1.426865603 1.425793347 1.534693868 1.669842164 1.676992635 1.781663502 1.799719137 2.004921174 2.074900251 2.274674443 2.308633105 2.306053215 2.536718626 2.634263311 2.76530879 2.799181096 3.568432813 3.085555228 3.15546774 3.290799543 3.275876119 2.73906911 3.485256534 3.582810215 3.541375447 3.61097132 3.68295458 3.604564772 4.224781041 3.608180936 3.52086226 3.460428237 4.032480256 2.730532443 3.107617429 2.931226868 2.971787279 2.820301475 2.699390251 2.588438772 2.496282352 2.304345881 2.259652968 2.18096811 1.988670922 1.675580352 1.820784644 1.754370457 1.549263772 1.515075726 1.438202548 1.251705616 1.165597726 0.754966428 0.686638912 0.440042048 0.342746987 0.227084599 0.158734774 0.162785868 0.23117995 0.024683812 0.05270251 0.047381118 0.039206238 0.037499265 0 0.088118172 0 0.035013791 0.068919344 0.030795166 0.456634306 0.370408575 0.328558219 0.333546907 0.328824754 0.309785918 0.293624812 0.317296116 0.268358887 0.392864057 0.232703057 0.269485116 0.418042636 0.466639837 0.647802656 0.582513708 0.966311087 1.176084603 1.308593639 1.503375365 1.672622653 1.665506365 1.669842164 2.009227288 1.954790521 2.308144653 2.177930352 2.437254315 2.618606758 2.592576671 2.816562973 2.9886861 3.107110087 3.169602265 3.388988301 4.101720808 3.531537142 3.682802557 3.812670534 3.979961315 4.068278484 4.105148068 4.236944667 4.270894333 4.303945356 5.311115502 4.231183991 4.224781041 4.251932858 4.127777881 4.121982123 4.032480256 3.892389868 3.790833219 3.712394836 3.505328945 3.222158087 3.174841205 2.866778183 2.855056233 2.722604767 2.599055183 2.479903466 2.646186758 2.176529763 2.150043607 2.029602845 1.820539068 1.57913311 1.604487639 1.308620626 1.301068959 1.09173442 0.781933569 0.538328047 0.375231927 0.319913697 0.183433806 0.079875017 0.098467257 0.060420044 0.076077487 0.005763289 0.052143183 0.034760884 0.008010847 0.12188471 0 0.024825931 0.085994323 0.030795166 0.372776263 0.370408575 0.378138262 0.349758568 0.348583494 0.386698047 0.293624812 0.396395664 0.431156809 0.403269795 0.26927939 0.429625516 0.295764826 0.393576945 0.54894023 0.686597623 1.076613995 1.369936201 1.531059712 1.760169813 1.731588621 1.995232192 2.049673457 2.562252164 2.393177589 2.561420087 2.177930352 2.758349922 3.034604192 3.109528959 3.457332009 3.470953795 3.674928854 3.821511247 3.931912205 4.956863626 4.304743251 4.509516205 3.812670534 4.738455393 4.933167854 5.06392368 4.236944667 5.221387849 5.297224753 5.311115502 5.36850547 5.247014941 4.251932858 5.213022995 4.932784648 4.783704224 4.618895283 4.474885584 4.3812791 4.153366292 3.931595566 3.663041388 3.570364132 3.366790269 3.177762922 2.986466927 2.820435507 2.646186758 2.383762968 2.448858425 2.288449151 2.036225283 1.57913311 1.667158826 1.609639324 1.511264361 1.09173442 0.888925439 0.554965462 0.376626759 0.325392996 0.163938453 0.12580492 0 0.191514315 0.059261171 0.005763289 0 0.005305135 0.190310905 0.167857853 0.026500323 0.001404206 0.085994323 0 0.372776263 0.329475214 0.366349206 0.430361073 0.372553896 0.378996966 0.480674603 0.363890034 0.333071048 0.436082528 0.229589827 0.354733222 0.429448396 0.559822006 0.597002563 0.773740438 1.075914151 1.371912498 1.714225635 1.752244836 2.010021584 2.2601801 2.368889018 2.562252164 2.683785872 2.805824224 2.972039151 3.727571032 3.55559363 3.698542767 3.910083886 4.096710352 4.201387516 4.435895776 4.697547758 4.956863626 5.108956621 5.415362685 5.534830142 5.838044626 5.977526023 6.190460534 6.309184968 6.539044388 6.532037845 6.595705726 6.514084758 6.582196384 6.570716411 6.325312881 6.083949201 5.911137023 5.771611548 5.291482068 5.163767598 4.902428658 4.54079063 4.42590095 4.075036753 3.804428018 3.666396685 3.966927831 2.820435507 2.962944767 2.884373251 2.821048096 2.563144511 2.597042904 2.240850712 2.002686708 1.609639324 1.606667233 1.398486808 1.010150333 0.672122171 0.440622524 0.297652517 0.324117983 0.092690929 0 0 0.0007149 0.028154673 0.106789472 0 0.055143655 0.176166485 0.059604122 0 0.001277406 0 0.339461225 0.43170598 0.341484388 0.430361073 0.349436171 0.277565174 0.387888232 0.334741051 0.369593139 0.388613894 0.363301643 0.418810666 0.368904359 0.475106879 0.521828353 0.741198557 1.026441963 1.449556584 1.876439393 2.201755658 2.326180498 2.536994785 2.646996347 3.243040986 3.042127073 3.313190977 3.631737279 3.727571032 4.020132224 4.16430384 4.434564452 4.748070612 5.132359142 5.1460349 5.491144717 5.87024468 6.150074635 7.712164995 6.778820374 7.177166968 7.449196982 7.63215421 7.820597753 8.151143064 8.239910904 8.160307612 8.226628247 8.07912742 6.570716411 7.883870735 7.433843575 7.230232831 6.888424338 6.531204868 6.277643379 5.918315379 5.414089831 5.209871895 4.857482973 4.583097055 4.268346826 3.966927831 3.700406621 3.444302123 3.351552904 3.028155365 2.790461822 2.597042904 2.40698468 2.328188279 1.998472347 1.760622283 1.53555653 1.091056164 0.677375954 0.330341474 0.292339005 0.208636583 0.059639996 0.052534377 0.024638826 0.088627296 0.080989983 0.151313811 0.089802297 0.073508013 0.176166485 0 0 0.015631446 0 0.272896454 0.43562637 0.2891163 0.302258629 0.358211577 0.245720259 0.437999005 0.382698587 0.404884115 0.460188942 0.440664083 0.350287319 0.494026075 0.586865249 0.704287684 0.800998852 1.142888753 1.696065653 2.186467018 2.437188648 2.549917626 2.842133393 3.099546726 3.243040986 3.526313493 3.695543689 3.934492995 4.269360612 4.509885918 4.694880612 5.108394406 5.508815347 5.889707201 6.206219635 6.604410607 7.097612251 7.443514566 7.712164995 8.283339959 8.707008699 9.06158621 9.391592694 9.549471553 9.729991918 9.940530046 10.12405489 10.03614251 9.961894201 9.64096411 9.465031416 9.123735662 8.798017301 8.348557753 8.051715635 7.553724822 6.986253279 6.48626458 6.130021114 5.765266169 5.431195548 4.979192091 4.726964626 3.700406621 4.047915521 3.7690049 3.551580767 3.320233502 2.908284913 2.684739388 2.57173605 2.410931877 2.069317685 1.53555653 1.166539548 0.668476052 0.551594243 0.310070444 0.208636583 0.03299822 0.047067789 0.012661847 0.013101696 0.029154966 0.088724932 0.12568519 0 0 0.077404367 0 0.154858012 0.004318346 0.440582314 0.47882829 0.2891163 0.487223368 0.382132864 0.406702182 0.473994953 0.532823921 0.402909797 0.445588273 0.279696552 0.366939486 0.494026075 0.639329047 0.705533461 0.853150509 1.230031119 1.78129379 2.278508297 2.616366895 2.802878219 3.191354123 3.352169091 3.587393388 4.003655288 4.192464046 4.504126142 4.959095393 5.285760073 5.611139306 6.00767332 6.367146146 6.863178653 7.261706954 7.817556397 8.28040205 7.443514566 10.97621032 9.832252009 10.33739059 9.06158621 11.21372575 11.57057461 11.84656352 11.94425393 12.08421388 11.89388849 11.95759416 11.67959927 11.35543082 10.85615726 10.41300621 9.861828995 9.530023425 8.881897922 8.292321 7.671997685 8.311360735 6.619891749 6.201130918 5.910999393 5.33277111 5.03658116 4.615468023 4.217251863 3.895060612 3.751420626 3.391826361 3.061871151 2.871345164 2.534899749 2.139994808 1.799573411 1.273400804 0.696706152 0.469286833 0.27116996 0.262498632 0.123011478 0.071614978 0.101879944 0.066211844 0.133213739 0.078807997 0 0 0 0.118171215 0 0.023606573 0 0.300636753 0.47882829 0.419360826 0.395423887 0.42920426 0.364879982 0.404702317 0.421457032 0.434282182 0.280888177 0.410841881 0.333124751 0.599896484 0.613816288 0.705533461 0.870729205 1.262281548 1.81972768 2.423511091 2.805027228 3.27161768 3.602594772 3.821269269 4.163178511 4.445833932 4.797537402 5.121641082 5.641077909 5.897261566 6.352668895 6.883099041 7.337085991 7.823646306 8.626271082 9.142239269 11.51805927 10.46554854 10.97621032 11.76771854 12.32705461 12.78132402 13.38039292 13.71609352 14.06177904 11.94425393 14.3579447 14.27409826 14.23385269 13.87402635 15.91744708 12.92037543 12.36793886 11.79819507 11.08362479 10.43177068 9.736090822 8.947547498 8.311360735 7.636889406 7.128626708 5.910999393 6.159587306 5.70508042 5.886324918 4.789655603 4.46991111 4.216005995 3.759059548 3.598428986 3.122937553 2.80662032 2.415560027 1.956167721 1.250316721 0.711848616 0.645425883 0.328984693 0.262498632 0.07864473 0.182419391 0.101879944 0.10486346 0.088725652 0.078807997 0.097895687 0 0 0 0.001104285 0 0.010674746 0.348796236 0.450737259 0.356309312 0.491336261 0.391224729 0.364879982 0.446789523 0.534513533 0.444636646 0.360282955 0.397612386 0.350118115 0.597994759 0.662980202 0.784779905 1.002421457 1.342874338 1.973178087 2.571937548 3.224805443 3.511260534 3.913849374 3.821269269 4.573640155 4.445833932 5.370638288 5.791634484 6.186283055 6.589783132 7.234319457 7.764918717 8.406222082 9.142922922 9.824246073 10.55026753 11.51805927 12.28595447 13.05268927 13.74363753 17.17231009 15.22639087 15.82037735 16.19423658 16.52103169 16.74454123 16.72046945 16.73768671 16.71517114 16.25296776 15.91744708 15.23309247 14.65933671 13.89258393 13.09260201 12.20901653 11.46770283 10.50195306 9.724603653 8.973225863 8.236093242 7.511426493 6.834942886 6.441301804 5.886324918 5.454927301 4.983944379 4.626621461 4.317350352 3.88815032 3.988763347 3.166570804 2.745789598 2.054818845 1.291666032 0.780418468 0.5982308 0.376286552 0.250792514 0.074846174 0.165848363 0.037640088 0.08469925 0.093252154 0.113244685 0.039462122 0 0.105526963 0 0.13825532 0 0.047798938 0.390170734 0.507282736 0.465026866 0.451442861 0.509487157 0.481360325 0.486225775 0.420217372 0.419971976 0.336953747 0.343152501 0.373750559 0.551740868 0.741903349 0.837876262 1.002421457 1.235099146 1.905335425 2.901611201 3.456596183 3.948409831 4.310879936 4.73044226 4.998671703 5.573804658 6.093065174 6.43435553 7.784630411 7.52679789 8.056147685 8.86397542 9.611935845 10.47376137 11.36609041 12.29938466 13.42851849 14.35850242 15.44780447 16.25725858 17.17231009 17.80539973 18.47838411 18.96706105 19.38590644 19.59978187 19.65935863 16.73768671 19.56311648 19.02741142 18.52879452 17.8643558 17.12682018 16.06273233 15.22720945 14.1020516 13.16273941 12.19650388 12.97024612 10.31831128 9.474890411 8.680030493 9.018983836 7.207838699 6.558814553 6.100148178 5.740768005 5.189989288 4.665763292 4.276322178 3.988763347 3.493894849 3.346843795 2.202612023 1.31479689 0.80048944 0.754773836 0.446654052 0.244901584 0.192373918 0.053408094 0.057767992 0.08469925 0.102430285 0.107789045 0.148741297 0.065264877 0.019656624 0 0 0.024317635 0.037712969 0.43219884 0.375505568 0.404225289 0.383090518 0.535629327 0.53497257 0.533150455 0.537482476 0.421430226 0.336953747 0.414525331 0.519578684 0.615817592 0.645022977 0.844219212 1.074879676 1.366338027 2.161116087 3.016553055 3.818795525 4.337528909 4.78544484 5.081014105 5.75184768 6.066937037 6.658438082 7.07744089 8.695966804 8.473298333 9.106077626 10.0022837 12.42371954 11.97065553 13.19694005 14.35365388 15.7097695 16.70403479 18.06109493 18.90348132 20.02313397 17.80539973 21.55458858 22.05332242 22.58258676 22.77490014 22.95428708 19.60911913 22.6938153 22.16582831 25.27968767 20.79940393 19.95695457 18.75566836 17.8793332 16.50529868 15.39581087 14.15180534 12.97024612 11.77451909 10.77393 9.780645205 9.018983836 8.210825968 7.448816475 6.834300612 6.246502986 5.728373196 5.296018466 4.603464516 4.34706137 3.920670612 3.346843795 2.380177388 1.349606521 0.901745461 0.730519268 0.381662403 0.244901584 0.098356253 0.13575252 0.118355171 0.090123272 0.165549445 0.035001782 0.015680246 0.128290988 0.033266823 0.052733041 0 0.032629875 0.11820009 0.470670421 0.494780972 0.473608689 0.424944292 0.427032312 0.459990952 0.487263038 0.603797084 0.421430226 0.380621541 0.317810565 0.462189796 0.586244204 0.760074575 0.961923114 1.153137251 1.348356155 2.313797384 3.182426155 4.019009594 4.705313516 5.167981959 5.648717731 6.13597879 6.066937037 7.292709717 8.089458676 9.620004749 9.508893151 10.25635073 10.0022837 12.42371954 13.90526749 15.0622332 16.67084164 20.98100374 19.54410913 20.98283881 18.90348132 23.3374116 24.17201694 25.16878297 25.81855913 26.25325447 26.62381237 26.71803055 26.72647726 26.48437416 26.04331904 25.27968767 24.16878758 23.352389 21.9700247 20.78741301 19.26110379 17.94646612 16.53575721 14.92451311 13.65075068 12.39301813 11.04113936 10.1864832 9.253027032 8.288294644 7.563985913 6.830294046 6.264039584 6.177315507 5.22914821 4.65103147 4.324455845 3.4823699 2.449042831 1.609268712 1.036464676 0.706340352 0.675979233 0.313159296 0.153662789 0.130866111 0.077093161 0 0.156853199 0.017663875 0.015680246 0.066950972 0 0.01510784 0.030461813 0.11457493 0.087134962 0.317762799 0.546870921 0.420665344 0.477584851 0.468748637 0.578818563 0.500738828 0.516656068 0.506798872 0.446955669 0.409575414 0.471340041 0.623207791 0.82093912 0.967628018 1.121194466 1.532556553 2.251761274 3.381011151 4.414593689 4.705313516 5.560228749 6.197467977 6.732384146 7.343456557 8.107834548 8.803523406 9.620004749 10.60990726 11.76634224 11.33260041 14.33173201 15.99711064 17.58204311 19.25079502 20.98100374 22.64619347 24.40531352 25.73625991 27.22522009 28.37398196 29.46236648 30.16697881 31.0127205 31.16585877 31.50212607 31.27163607 31.06801543 30.31201219 29.57990082 28.51652361 27.40125174 25.84204621 24.38124174 22.45176616 20.93211356 19.14375836 17.45668274 15.78512425 14.13872598 12.78991466 11.4902274 10.31518087 9.303176575 8.434891429 7.687724402 6.856038078 6.177315507 5.713857265 5.082105251 4.668029242 3.799511114 2.604437151 1.593525804 0.968714667 0.744847195 0.610161084 0.380787957 0.204238895 0.065841259 0.070371953 0.117252511 0.116423762 0.046218746 0 0.115861097 0 0.01510784 0.087826333 0.030742318 0.078960586 0.465236459 0.401124114 0.46480216 0.500456281 0.471579589 0.562906631 0.479110387 0.526267059 0.438086711 0.447412907 0.486523344 0.5075499 0.595086716 0.843539427 1.113554644 1.196195694 1.459626073 2.378074256 3.444199575 4.633933849 5.468707406 6.023585342 6.197467977 7.408127429 8.036842584 8.82158174 9.649680685 10.70010447 11.83344817 13.11649388 12.98653685 16.34711397 18.24294662 20.00663635 22.27808233 28.51621776 26.40355018 28.43865014 30.25858831 31.99520178 33.4029332 34.90324562 36.02583977 36.83227142 37.19472443 37.4938226 37.38031822 37.03071968 36.03943187 35.16473388 33.74214201 32.36936685 30.46295557 28.68490913 26.52020297 24.45573292 22.27255913 20.24978292 18.22187032 16.30345014 14.46671749 13.11427201 11.58887132 10.40095233 9.383766667 8.451140781 7.599065406 6.879218411 6.079097963 5.465793785 4.936982817 3.882641516 2.612788511 1.547874877 1.000161804 0.77359975 0.554718627 0.410033101 0.179945017 0.15708771 0.070371953 0.02352243 0.141526059 0.133017638 0 0.056704507 0.012559002 0.044358724 0.181052985 0.030742318 0.0635565 0.433758378 0.573550747 0.431415697 0.445713939 0.467932211 0.480943296 0.479110387 0.54462656 0.537882863 0.484847584 0.486627601 0.595324465 0.584964154 0.849529757 1.042127301 1.363229205 1.506392434 2.441035096 3.660314872 4.841339767 5.778352726 6.571669027 7.236701447 8.025141324 8.820703785 9.781697671 10.83705995 11.94734836 13.37490571 14.93663895 16.68082658 18.69558785 21.14248977 23.47558146 25.95716078 28.51621776 30.97357237 33.47913352 35.75787479 38.01873315 39.88981037 41.71378749 42.93109457 44.18897105 44.900249 45.37189758 37.38031822 44.59970256 43.51210064 42.37394438 33.74214201 38.74696749 30.46295557 34.06443941 31.38681361 28.91856553 26.19198658 23.64591 21.09096393 18.89330749 16.67201105 14.73998078 13.11751037 11.71961995 9.383766667 9.321887078 8.334589644 7.504278721 6.647017479 6.014585411 5.184459795 4.069727648 2.612788511 1.59753147 1.034491078 0.782675153 0.619720441 0.317240614 0.208772234 0.12418817 0.04821853 0.007911779 0.157872292 0.134679815 0.186708144 0.048581037 0.038487008 0.043130892 0.181052985 0.076604044 0.012830376 0.458456151 0.440285285 0.431415697 0.451812484 0.491052365 0.560789915 0.49450922 0.524809709 0.537882863 0.432221958 0.480053828 0.640694284 0.761800349 0.89345401 1.013679242 1.363229205 1.694600297 2.440227306 3.781782014 5.114390763 6.313936356 7.523701662 7.861658311 8.619989571 9.586757626 10.63040785 11.92297973 13.23299374 15.10114744 16.90193434 19.09862826 21.60238132 24.26552447 31.57022151 30.33868365 33.3158574 30.97357237 47.16031575 42.46810858 45.33715721 48.02365251 50.30045977 52.21646918 53.96995808 54.90506941 55.70464653 55.51862096 54.87487174 53.35977982 51.72528251 49.06144671 46.72213018 36.2214005 40.77080516 37.37049521 34.25342447 30.80368461 27.76194164 24.53932749 21.7064495 19.11380356 16.77763543 14.74030461 13.10042804 11.55340233 10.19736767 9.247746712 8.269740662 7.248057283 6.433183425 5.599470429 4.272678128 2.684395763 1.646839941 1.096989553 0.817185325 0.631672854 0.55288131 0.226662623 0.157957479 0.150087553 0 0.130359218 0.00961584 0.121790887 0 0.041260643 0.098722367 0.010844058 0 0.056781535 0.31425368 0.450611323 0.461193911 0.536620804 0.457925511 0.530685077 0.475040043 0.494393539 0.532751958 0.475804475 0.467369457 0.554235572 0.741641762 0.89345401 1.154034096 1.400023228 1.724634251 2.464008534 3.781782014 5.349984772 6.585726192 8.115304356 8.387010534 9.427988219 10.55531397 11.74678616 13.26284059 14.84135032 16.7775005 19.16290064 21.83642452 24.68329941 28.14610963 31.57022151 35.51032046 39.34738571 43.15585447 47.16031575 51.06419909 68.02914644 58.32505237 61.99663763 64.78658041 67.93418164 69.64864836 71.10151886 70.98828434 70.05560178 67.86558247 65.11970831 61.29315872 57.53531626 53.34343511 49.19599142 44.60167256 40.63941785 36.3435405 32.57624384 28.66655845 25.19499566 21.8122358 19.11975854 16.63829616 14.50799753 12.73818192 11.27323055 9.997507123 8.790037452 7.814659868 6.882291251 5.934832795 4.435043909 2.827163192 1.738935192 1.110062616 0.779229452 0.662132292 0.55288131 0.189186386 0.157957479 0.150087553 0.048283252 0.131622716 0.056772279 0.207076505 0 0.039235905 0.119051868 0.026885822 0.088686009 0.040561688 0.4508157 0.529857767 0.585772034 0.496872411 0.470390213 0.602094338 0.510966906 0.598697483 0.546092636 0.435115879 0.491734668 0.63577765 0.823473043 1.134430347 1.188916589 1.411218046 1.755628918 2.499246347 3.931183575 5.563478799 7.103310858 8.115304356 9.094680411 10.28894119 11.43750516 12.87396799 14.53171849 16.5968632 18.88695671 21.66295658 24.90997534 32.98218078 32.79727064 36.98026429 41.66700224 46.66049347 51.63897132 70.4338058 62.19607539 68.02914644 73.47455027 79.35392082 84.8114595 90.01352785 94.10573059 96.64127352 97.0888863 95.45225708 91.46143288 86.75166662 80.42368479 74.0763268 67.20996826 78.64920954 54.50967511 48.71113753 43.08675155 38.22189502 33.36029484 29.10782046 25.21379612 21.77061393 18.72772854 16.41733233 14.14174845 12.3036305 9.997507123 9.55656895 8.358912397 7.369653059 6.325603434 4.589201356 2.95523658 1.793395347 1.173104416 0.917392119 0.662992795 0.437855438 0.208935321 0.184609869 0.194712641 0.013705389 0.098256044 0.134639785 0.071829888 0 0 0 0.057476423 0.04445341 0.074011506 0.451309909 0.38477995 0.502543402 0.484298053 0.454691562 0.444433709 0.568801518 0.573334947 0.436281597 0.588276183 0.50800354 0.63577765 0.689590404 1.076042785 1.172218365 1.465891393 1.836979123 2.480496265 4.010991963 5.712355027 7.393749128 8.72298279 9.662049406 11.0564316 12.55373954 14.14570644 16.20042543 18.32748571 21.30939105 24.67527548 28.58373749 32.98218078 37.90357361 43.22865452 49.21861493 55.82437575 62.96365575 91.14749224 78.8713158 87.84727447 97.48063744 107.9476342 119.1537858 130.6512096 140.4482265 147.2915927 148.3848977 144.8675032 136.5674164 126.4654543 80.42368479 101.8123886 89.5654563 78.64920954 68.49448922 59.79832452 51.83628616 45.16825895 39.16422068 33.85553845 28.93794169 24.78333763 21.34250324 18.24113854 15.61571324 13.65889155 11.84927114 10.2672442 9.019370639 7.998522037 6.589550151 4.679297822 2.95523658 1.815483635 1.172356895 0.935583584 0.819437242 0.373963751 0.248073914 0.124567778 0.216656192 0 0.098256044 0.116877221 0.092304395 0.052210379 0.0674023 0.052629575 0.027239631 0.076944458 0.016378517 0.353777098 0.38477995 0.458777018 0.361482137 0.547608636 0.591819124 0.5067243 0.573334947 0.592738098 0.598257156 0.515121447 0.686401163 0.89457772 1.066755 1.172218365 1.506507575 1.788017877 2.661054411 4.05043874 5.939824361 7.894441269 9.189033516 10.56298708 11.89441023 13.5829521 15.39597279 17.76082735 20.64941406 24.03861466 27.85644767 32.54583927 37.91198434 44.09380836 61.23800772 59.28166279 68.4819226 78.87754963 91.14749224 104.9332644 120.8015694 139.2834977 159.9729055 183.1344384 207.9390772 231.2007292 390.8583447 250.2435228 242.0544397 225.1318699 204.8812594 179.9115543 154.5575644 129.7235105 108.6076292 90.41238539 76.01832402 63.81739438 54.18496694 45.88016658 39.26449279 33.23102146 28.35032397 23.97050123 22.73467256 17.38834443 14.92455808 12.81039726 11.17865256 9.771137032 8.308625224 6.901903096 4.735803539 3.13980579 1.896241941 1.206966826 0.97091405 0.71524871 0.613416441 0.261580198 0.033480897 0.187423821 0 0.173337242 0.131569374 0.204773224 0.005296109 0.098450525 0.111682538 0.029517104 0.03970034 0 0.454235494 0.484414005 0.331219878 0.499707501 0.539378894 0.573733265 0.543063873 0.463642109 0.422323922 0.47776512 0.5239815 0.632484422 0.888197798 1.085606731 1.317211265 1.523358721 1.916054384 2.739298493 4.138454562 6.01269637 8.277954393 9.779214932 10.56298708 12.84813311 14.73452055 16.89133772 19.60713114 22.78136785 26.93207689 31.65051475 37.27255292 43.7334153 51.87121543 61.23800772 72.73529653 86.87886205 104.2192068 125.0744005 150.7846096 180.2177589 213.2830845 248.3784096 285.9031315 325.3154553 363.8154621 390.8583447 397.5941256 385.7030616 359.7945932 329.2230717 290.7598562 248.9304594 203.7705032 162.9539922 127.4998393 101.3357205 81.07838146 83.72940776 54.60728457 53.55861489 33.23102146 32.08973479 26.91642484 22.73467256 19.19862151 16.33774973 13.98091009 12.95099589 10.45545566 8.901024014 7.231615429 4.911573416 3.0471969 1.896241941 1.207717046 0.912901598 0.733460235 0.541742894 0.233645598 0.120201844 0.144457671 0.129730347 0.080605186 0.146268812 0.038772029 0.195287269 0.165029419 0.047309694 0.002552115 0.106480749 0 0.475643726 0.357945132 0.460457185 0.543846116 0.46763896 0.530355574 0.529957166 0.52118302 0.571639398 0.496470764 0.504176793 0.669698172 0.831167468 1.085606731 1.359716489 1.517327283 1.858446726 2.704024699 4.168172776 6.200215183 8.711857237 10.31599945 11.83467155 13.67448064 15.82495603 18.51746027 21.64738548 25.37316822 30.13403753 35.62755795 42.53337046 50.66004324 61.22315626 74.58894959 92.17908858 115.6406192 147.4730306 186.7143511 232.9338795 279.6970918 324.6622968 366.6318425 409.5811708 455.064063 499.9528968 532.3599365 541.4972283 529.9486205 502.4914082 468.5492977 424.8715192 375.3070388 314.5680708 251.9843192 191.2570452 143.8280808 107.6610397 83.72940776 65.79901648 53.55861489 43.78497712 36.29582872 26.91642484 25.26924397 21.05550393 17.94255311 15.05547763 12.95099589 11.03146027 9.347676986 7.612411032 5.19483063 3.236127995 1.996954817 1.37027353 0.9721959 0.788357568 0.519996702 0.136561749 0.096875155 0.056985848 0.175181216 0.147014803 0.136310867 0.038772029 0.092697405 0.183087662 0 0 0 0.029501065 0.399510693 0.335791987 0.432210354 0.332265147 0.548591657 0.564454385 0.594588638 0.563434033 0.51651349 0.538653862 0.504176793 0.63536494 0.7424742 1.128334142 1.405430384 1.628515342 1.956567119 2.780664895 4.275898493 6.370702041 9.033331553 10.82009457 12.66176571 14.6337447 17.11238251 20.01370676 23.75388219 28.14388776 33.67037644 40.14626119 48.52170269 59.21276676 73.68392799 93.16966575 122.0764922 163.9005817 222.1077849 287.8542411 354.5469269 410.5081502 455.4681379 493.8114443 531.1148785 570.9653699 609.8604562 637.5868119 645.1937105 635.8676046 611.767758 583.200689 543.70039 498.1635251 436.1194096 364.3230744 284.2159479 300.2085699 151.1258064 109.7003046 81.67695562 63.49733685 50.45699831 41.200571 33.80161082 27.92530772 23.25599393 19.35441342 16.34663721 13.80471653 11.70579397 9.870491598 7.866371018 5.171915662 3.267276484 2.008267475 1.37027353 0.9721959 0.798869632 0.521007069 0.136561749 0.14036322 0.123331985 0.087209705 0.158909375 0.128964026 0.079689477 0.133214099 0.036775402 0.063391856 0 0 0.090768784 0.501043233 0.478891258 0.351065694 0.407031955 0.42189538 0.605398451 0.512065338 0.538687235 0.59101889 0.509666616 0.597127689 0.608266555 0.86223041 1.113829005 1.438151274 1.589070365 1.975763374 2.828590767 4.355619626 6.407570726 9.41400032 11.33923005 13.37513959 15.51480247 18.37224699 21.6997389 25.97528658 30.98568023 37.31676548 45.36854228 55.60937589 69.78572977 90.21340639 120.538453 170.4317164 241.4358237 328.739747 413.3291183 487.5304726 542.9328096 581.3416927 610.3712169 635.6698849 662.5694703 687.9172534 705.9641626 709.9374457 702.8753105 683.576237 661.2771863 631.1677603 593.9051653 540.591658 472.1894799 387.4660767 300.2085699 214.5446941 148.9278621 103.6636489 76.55778018 58.44335132 46.52271041 37.70121233 30.87044872 25.44355749 21.05363288 17.46432886 14.79388142 12.35550717 10.36425096 8.053879037 5.28943111 3.318841909 1.962911598 1.338942434 1.115329443 0.868269674 0.511856195 0.232403419 0.210616298 0.123331985 0.116429789 0.182806645 0.029686704 0.096840163 0.037691155 0.066076283 0.054355745 0.096703342 0 0 0.390319068 0.423760133 0.455667926 0.470091565 0.535641921 0.605398451 0.457677326 0.635565088 0.592372163 0.654064018 0.507257909 0.608266555 0.86223041 1.139669288 1.262725023 1.765778466 2.138499767 2.900013612 4.372200909 6.759366849 9.6669879 12.04432813 14.04040589 16.5215984 19.75416151 23.41776781 28.19451406 33.93871023 41.42635639 50.73210566 63.92806521 82.72273776 112.4884393 160.7810553 240.8717201 340.5832251 443.2402849 529.0570831 597.4778817 645.5093603 677.0232434 699.5589639 715.7276265 733.2829352 745.8993009 753.4377443 753.8530635 747.3795895 731.9694219 715.0081717 691.2092224 662.2766689 619.0372379 561.1791475 482.2837959 391.856568 291.3872877 202.5145607 134.5871616 93.5905621 68.25764845 52.94579196 41.80016164 33.95017941 27.59765804 22.90084521 18.79214484 16.62606237 13.10890174 10.97040826 8.317784374 5.274933169 3.29669695 2.17990305 1.529922689 1.027879434 0.898784434 0.664983035 0.180132122 0.136320672 0.124643519 0.167677944 0.180871817 0.029686704 0.188191941 0.057773929 0.088579278 0.060487231 0.02070783 0 0.088292926 0.390319068 0.417079944 0.522966275 0.576664517 0.535864647 0.599304854 0.618275145 0.593058425 0.5636555 0.654510641 0.507257909 0.637401956 0.816308 1.058477402 1.330842046 1.649275904 2.115914932 2.900013612 4.513383342 6.617639292 10.00221174 12.99157429 14.81816909 17.37181082 20.96253612 25.15134982 30.57283479 36.88453489 41.42635639 63.1467668 73.56339817 98.59841005 142.6584046 215.8972475 324.9112005 439.0899717 540.0450954 616.0088352 673.097726 714.6265854 742.2889836 758.7615119 769.1246114 780.1442877 785.1721954 786.0093105 783.4094502 777.7194785 764.5617676 750.1835562 731.0004338 708.5331685 674.3914493 628.8858886 560.9558808 541.972637 368.6700279 265.51669 175.6626511 116.3651114 80.58198644 59.92654543 46.47088772 37.22600155 29.99093817 24.59697922 20.13275233 16.62606237 13.70129603 11.29149128 8.662472306 5.468999758 3.350132525 2.161236626 1.522657977 1.110187653 0.860737977 0.53148612 0.245021314 0.205981401 0.148545556 0.191728676 0.18886381 0.024684757 0.086459477 0.081318676 0.057366481 0.044301216 0 0 0.075546936 0.47768587 0.506576864 0.522966275 0.478971497 0.473898163 0.630877298 0.59533481 0.654279279 0.586732656 0.555510585 0.463436383 0.810884114 0.816308 1.3527999 1.429752237 1.795200731 2.087456977 2.983085543 4.530052781 6.820542096 10.23699256 12.99157429 15.4987726 18.38487658 22.26977954 26.75177242 32.6694995 39.97201963 49.69268329 70.1095384 73.56339817 118.1909146 142.6584046 281.2401685 407.6823247 521.9253233 612.9145858 677.6316046 726.2055977 761.6725242 785.1545644 797.0453584 804.4896196 811.9049155 812.8353132 810.9986256 806.8600963 802.4726635 791.1893311 777.1372041 759.6146388 740.1865708 711.4056804 674.8279977 618.1838411 541.972637 440.6500498 331.3525607 175.6626511 182.9648744 96.07366164 68.57890237 51.49312836 43.88590589 32.35382274 26.38329247 21.18483128 17.40404146 14.36607658 11.80420402 8.85798716 5.593681868 3.380301411 2.161236626 1.496360726 1.103816187 0.913506991 0.506973473 0.280800832 0.265869401 0.193031574 0.191728676 0.199351946 0.117275089 0 0.081318676 0.139620197 0.037253573 0.030629848 0 0.132544658 0.417269928 0.443284183 0.422585869 0.460320725 0.591720354 0.583813818 0.562143818 0.652799979 0.625192274 0.558762164 0.664897579 0.633338628 0.879777622 1.252454037 1.456722347 1.781701283 2.087456977 3.110598516 4.5774929 7.025279068 10.50275365 13.43073137 16.08301703 19.2431579 22.26977954 28.33257598 34.80002301 42.59197571 54.06228721 70.1095384 96.68076347 142.0504932 181.230195 347.1009566 479.1626502 585.7392904 666.8399626 724.1398863 765.7182205 794.2747648 814.5210575 828.4307868 838.0319731 845.6683767 812.8353132 842.7692384 838.0799187 834.3708315 824.2565457 806.5201589 784.3471342 762.7353347 735.7149406 702.3485379 655.0688977 592.0512963 501.7406493 395.1044594 280.4183457 182.9648744 115.9667936 78.4239189 51.49312836 43.88590589 34.68779598 29.53708256 22.30833397 18.20314183 14.94373635 12.20412301 9.075511142 5.718681516 3.461790146 2.152864575 1.477545877 1.179825804 0.980474397 0.522458213 0.226631948 0.191660221 0.123607515 0.156697758 0.151190214 0.069600352 0.029226569 0.052008936 0.097921774 0.070861341 0.137924558 0.010891779 0.075241226 0.507116231 0.509407188 0.531546749 0.571939036 0.509144881 0.609879077 0.66639154 0.652799979 0.665812594 0.535991663 0.602294847 0.622296104 0.879777622 1.279128196 1.513158799 1.845075913 2.108538676 3.034677055 4.5774929 6.995274799 10.65874347 13.94321922 16.72933895 19.83791799 24.51955553 29.86561379 36.66402982 45.35948388 58.31953817 77.07850785 110.4352315 169.7995174 274.1833406 404.7333516 534.1034315 633.8319379 707.9901142 760.8659936 797.1027493 822.1589005 844.8730005 867.306263 882.8363397 891.0489909 891.0778662 887.4918365 882.7120228 877.934368 867.7226616 844.95279 812.2357676 781.9498511 751.0365032 718.4573808 677.4207516 625.3975493 549.2372594 452.0384489 335.4317201 225.0155589 139.5336607 89.99337808 62.76965123 47.24639306 36.84357868 30.78989461 23.5064358 19.01811014 15.59212721 12.67486306 9.250148493 5.718681516 3.522887132 2.152280772 1.492867799 1.253479516 1.011100251 0.523995622 0.167579084 0.178484789 0.127730032 0.124399473 0.224722128 0.072271609 0.104617435 0.09095463 0.16250602 0.045116895 0.034110208 0 0.040603976 0.404189758 0.526231437 0.532440266 0.551315744 0.471486307 0.609235993 0.533088837 0.598617873 0.611672766 0.584684486 0.515998502 0.710335134 0.977192863 1.178199429 1.488481626 1.717074489 2.190848694 3.059187813 4.637657059 7.179524671 10.95567374 14.24292009 17.21932922 20.7740368 25.2333342 30.93424434 38.38079936 47.90661292 62.30592763 84.48191178 125.1860338 198.542537 317.5683178 450.8386379 574.8603927 668.3167429 738.3439461 788.8441315 824.5082379 853.1346767 885.1961119 917.232 938.4072511 947.6554566 947.4071826 943.3151598 936.0144658 929.2058219 916.7354521 889.622405 844.6490142 801.2674553 763.1872653 730.970389 694.7135735 649.8543347 583.7655123 496.4145429 384.1581858 266.7277452 164.9614132 102.3983511 68.68851174 50.5464489 38.73972616 30.78989461 24.58191187 19.78954954 15.99810913 13.08432621 9.433061644 5.774231918 3.49452363 2.152280772 1.564116132 1.097988046 0.915286288 0.681361381 0.317020226 0.248223778 0.157564198 0.151122568 0.174478402 0.153515533 0.159459266 0.157317184 0.048810699 0 0.026371068 0 0.046781797 0.404189758 0.385484922 0.532440266 0.481347821 0.601095935 0.5675964 0.640332578 0.749195858 0.604462026 0.664757789 0.628946698 0.75860688 1.000275146 1.243468498 1.515420251 1.784034699 2.269539849 3.161405626 4.690152612 7.089519959 11.12967242 14.51500498 17.62102032 21.26265977 26.13393005 32.04151027 38.38079936 50.0425337 65.8957084 91.13597808 139.0442192 224.3776027 351.0048849 483.8803055 602.3888489 691.8909863 760.7833256 810.9791055 848.792221 884.7281694 927.1242785 996.7759224 993.6104292 1003.428046 1002.855936 996.44579 986.2935434 976.4039635 960.3399178 928.2801918 874.6200005 819.7399384 775.0981192 743.5855854 710.6910831 668.1835205 607.6187941 528.3987073 421.8574192 301.3632237 188.8247699 114.7868626 74.37747594 53.35001977 38.73972616 31.93587689 25.41049027 20.33362936 16.47400356 13.31792863 9.52453621 5.848157292 3.632899489 2.155879845 1.722004886 1.262641365 0.844621128 0.618056376 0.249868863 0.211349966 0.276337927 0.180134731 0.174478402 0.153515533 0.058044989 0.169682037 0.154111031 0.098684766 0.005530062 0.005379704 0.056899825 0.466751021 0.440461146 0.542691642 0.455730445 0.548597864 0.5675964 0.57648083 0.666584042 0.583855826 0.543736462 0.5692718 0.75961266 0.8092769 1.23615521 1.526770689 1.837365027 2.410535178 3.161405626 4.690152612 7.3289901 11.18790886 14.76243338 18.03466635 21.78344142 26.6420821 32.88918598 41.00917516 51.81300598 68.9220242 96.53872557 150.200716 243.3315215 373.9825511 505.4599913 621.3786594 709.8584658 760.7833256 827.3668068 866.1534082 905.9760137 952.0983014 996.7759224 1028.386776 1043.381265 1044.108096 1034.752845 1021.891174 1008.741648 989.2224566 951.7052009 892.0195082 832.4645192 783.2312507 750.9532954 721.7453018 682.2944776 624.2257142 549.9819014 447.4882886 326.3431836 207.6245068 125.1479831 79.2925 55.73700311 41.98026822 32.88183671 26.11432 20.91515717 16.82582397 13.68808174 9.65786653 5.781514621 3.642928498 2.192194411 1.617755005 1.221287557 0.987743607 0.699460554 0.334006214 0.210117951 0.098438651 0.234852695 0.160509933 0.080415184 0.123298432 0.138296699 0.087081772 0.0761328 0.001793003 0.066911068 0.036696332 0.466751021 0.431822111 0.564757351 0.614230798 0.632198277 0.510078427 0.682227821 0.582065825 0.602490947 0.55741186 0.624255669 0.697799187 0.99146142 1.258143648 1.492851607 1.815582584 2.243250694 3.165762114 4.853250621 7.186452954 11.38776041 14.98207489 18.23798114 21.93769511 27.15044105 33.58046708 41.82415247 53.02738055 70.91672566 100.2526703 157.4670475 255.1978479 387.4760616 518.919679 634.4372406 722.6571689 790.9744301 838.1823767 875.316337 912.8017489 952.0983014 1002.679626 1040.33721 1060.607521 1063.286361 1053.592881 1039.769598 1023.661475 999.7165297 958.2160959 898.402668 838.0159612 785.9431941 753.2809539 727.3919155 690.7597205 635.9110525 564.5303963 464.3911584 342.0287913 219.6458247 132.2565347 82.62368904 57.60738767 43.07124342 33.62879954 26.60502091 21.06193566 16.82582397 13.81343311 9.678690959 5.932116174 3.615509516 2.234660055 1.686248037 1.344733694 0.948450653 0.699460554 0.306782793 0.151204696 0.232693342 0.092804091 0.095127882 0.270510595 0.13929942 0.09276811 0.095982988 0.089906302 0 0.083756583 0.018156608 0.393982549 0.480714722 0.563851961 0.492580239 0.599732227 0.681155926 0.682227821 0.659986791 0.609268647 0.487950649 0.624255669 0.799846177 0.929586329 1.253768269 1.561250187 1.878768311 2.317373068 3.16169168 4.842395831 7.295526187 11.30278954 15.01619457 18.34473895 22.16143854 27.36732995 33.79546694 42.09307096 53.62179881 71.71516936 101.8429731 160.8950274 260.160089 393.4270808 525.383258 641.7679795 729.6181055 796.5305498 841.5756342 877.3027986 912.6146438 958.4274886 996.1939178 1039.860452 1062.168228 1066.147808 1056.55058 1041.831352 1023.667772 996.7705251 954.8598995 896.8718251 837.2567466 785.9258329 752.0994936 729.2711516 696.7728082 643.8318018 573.6729954 473.2579575 348.6864918 224.8073146 135.4830169 84.24613247 58.65217132 43.56448105 34.13424397 26.91359128 21.44784877 17.16467297 13.81343311 9.711614247 5.844440379 3.550020959 2.307679589 1.567291521 1.278172881 0.984039288 0.668845944 0.315229865 0.151204696 0.233292437 0.156402798 0.195332696 0.144543128 0.142538316 0.023853992 0.164225947 0.045638999 0.074319797 0 0.018156608 0.426232888 0.435283644 0.424077672 0.52045421 0.60616954 0.585550206 0.573913533 0.677652204 0.582140217 0.585064723 0.593248499 0.670023986 0.900294498 1.247717941 1.453119676 1.782528863 2.36169537 3.204469466 4.842395831 7.267874224 11.31317927 14.99026073 18.32647822 22.13463215 27.46359009 33.71427416 42.03240575 53.44959023 71.36149589 101.5504416 160.4351808 258.6520046 391.1125557 523.161026 641.526632 729.9087479 796.1034466 839.2494151 874.4265986 909.7918767 952.7360776 996.1939178 1034.156447 1054.942196 1059.318475 1048.739845 1032.109087 991.5963516 986.2611598 945.3859087 891.3435913 833.3073913 783.1364388 749.4733667 727.7844763 698.6535735 648.2413635 577.2820534 474.1254772 347.7530356 223.4446863 134.6306995 84.18403699 58.58954511 43.36838959 34.13424397 26.91483265 21.44784877 17.21442671 13.63825603 9.789622648 5.933385429 3.699308279 2.252764265 1.503006553 1.286561123 0.970570425 0.656939678 0.324168897 0.048588404 0.20539211 0.121372959 0.061258301 0.144543128 0.114833279 0.002652431 0.035029928 0.106275923 0.100609249 0 0.091564341 0.477445602 0.486957553 0.434475944 0.48442309 0.60928115 0.557373449 0.594549058 0.709153763 0.624491349 0.510750296 0.589033868 0.775754516 0.881827862 1.211364694 1.453119676 1.871451425 2.291727986 2.996183795 4.713838489 7.249169119 11.2875063 14.71065566 18.15346904 21.99200954 26.97385169 33.28538986 41.60666087 52.51942639 70.05276822 98.81690913 154.8634991 249.512374 379.6236776 510.7004612 631.6769018 722.2364525 790.4726648 832.6206799 866.4555648 901.793137 946.0335799 986.8701507 1020.40063 1037.324639 1041.137804 1031.749269 1014.324215 991.5963516 963.4370457 925.7236895 878.1033023 824.9161808 776.9528877 744.870853 724.185853 696.5196767 647.8220863 574.160458 468.0416854 340.1871562 216.4186228 130.094842 82.15415438 57.68280539 43.14935977 33.8237126 26.78303155 21.42563005 17.270999 13.76818607 9.812345114 5.898902333 3.56930447 2.260163909 1.550265863 1.326001603 0.970570425 0.605666245 0.451474615 0.163316328 0.174040145 0.154642301 0.138056611 0.037012405 0.070977013 0.099100265 0.036723427 0.009330703 0 0.046397305 0.042062603 0.477445602 0.433618859 0.463364689 0.501158555 0.529433992 0.615193129 0.594549058 0.630866593 0.688451852 0.586209662 0.680327896 0.782926935 0.965360269 1.214936781 1.527949991 1.862261689 2.266888895 3.086548324 4.676678352 7.141443402 11.205369 14.42478977 18.01923018 21.62928667 26.65454078 32.66085489 40.65936973 51.15758968 67.66618968 94.31334521 145.4213521 233.4276388 358.3220406 486.7911379 609.6523918 704.9154749 776.3582895 818.6456438 850.6101082 882.6366411 946.0335799 959.4538676 987.1382146 1003.777068 1012.012388 1004.672114 987.2047808 958.9699132 924.3914658 887.536184 848.6876941 805.3245758 766.3068817 739.717279 721.2686338 693.7464744 644.0932991 566.9024023 456.2045041 325.9293037 203.4823795 122.4096831 78.61277804 56.02370557 42.2529468 32.51059516 26.50284178 21.13004009 16.8817216 13.53261365 9.648997032 5.773789342 3.547297142 2.342834644 1.583409539 1.260585009 0.942925658 0.639992371 0.353376351 0.170819779 0.128826666 0.146258377 0.201462995 0.148449575 0.152976527 0.10764143 0.020344172 0.034939938 0.017304057 0 0.008989435 0.500308486 0.541399988 0.556533816 0.575204198 0.701518259 0.615193129 0.605684776 0.527558894 0.612232462 0.588188567 0.610451456 0.650468003 0.821285444 1.32563279 1.614815297 1.699250037 2.237543991 3.033261174 4.579892881 6.984035904 11.00026411 14.42478977 17.4945805 21.07779461 25.94925379 31.72387251 39.38904356 49.28554995 64.64799676 88.32195452 133.3863612 210.7174968 327.841463 453.023089 577.038547 677.9470744 754.2330306 800.0946306 831.9036539 857.7468155 888.0151909 910.0554429 935.9245114 960.851758 974.734411 969.271484 950.8704247 915.9627443 872.3452352 832.9077242 803.3742758 776.2113941 753.2002648 734.9525776 717.9144164 688.7314301 636.1183073 553.5084712 437.0893872 304.3547452 185.6931895 112.7117959 74.17604119 53.78606443 40.940549 32.51059516 25.65707311 20.614089 16.78962635 13.50766932 9.69105968 5.903364968 3.547297142 2.136166352 1.669767502 1.29663511 0.816319964 0.608669731 0.366983294 0.144574072 0.239944381 0.182965054 0.152033266 0.177411184 0.079580921 0.026601081 0.020344172 0.054192433 0.050207951 0.049250756 0.147462506 0.424723724 0.480438113 0.537043319 0.540414538 0.618258683 0.576919088 0.633695477 0.665827796 0.739626155 0.513132916 0.717706442 0.653560543 0.857765526 1.23450095 1.515496712 1.699250037 2.06735668 2.973127598 4.609731635 6.9755721 11.00026411 13.84587064 17.11774379 20.53250041 25.08418991 30.4103053 37.89327384 47.13268178 60.85949785 81.64630817 119.4764521 185.3555909 290.898116 412.7317315 537.7019648 642.0129251 725.4437744 777.4207402 811.6233584 832.3119566 850.8399416 862.5931954 888.3225648 915.2611005 929.1644429 923.0979224 905.9391324 869.6798881 823.1975132 784.1972703 764.3341831 750.1896731 739.8863932 727.6788699 710.8955493 677.2497484 619.1063228 529.9336881 406.0872543 273.0225699 185.6931895 101.5225557 68.99757685 50.88599954 40.940549 31.49862685 24.90916575 20.03046525 16.18865041 13.16343205 9.526344292 5.780555708 3.626384096 2.214959155 1.669767502 1.151206831 0.789214024 0.668048409 0.216169179 0.110956337 0.203332695 0.209957203 0.117942371 0.177411184 0.114216822 0.0972392 0.120441122 0.03922485 0 0.100043167 0.035004552 0.401672295 0.486063857 0.50654574 0.593570445 0.490972575 0.593471765 0.684780726 0.544045095 0.582541414 0.657008313 0.525529254 0.647429256 0.959166913 1.23450095 1.410474123 1.702505484 2.212451228 3.167490137 4.560202776 6.842379411 10.62457881 13.84587064 16.64840703 19.79471292 24.16360621 29.33594466 36.10607904 44.58295306 56.82312977 74.64718603 105.5937991 159.3037352 250.2394749 366.4163119 492.6325927 600.4654452 690.6072479 750.6559963 789.2310251 808.3019744 822.1012397 829.1600466 848.867063 832.6962416 878.6403297 871.916153 855.7686297 821.4304502 782.6717347 753.0550785 739.6982087 733.4146283 727.7994087 714.7922813 692.7239635 652.0496703 586.6067201 489.7816699 360.5456219 233.1792749 163.9185726 90.0932274 63.40418014 47.85911703 37.22389662 29.97069845 24.00975731 19.34095626 15.73845594 12.53639635 9.39658516 5.834143306 3.64152611 2.15571253 1.636490694 1.110758863 0.910839845 0.719067271 0.380775633 0.155892757 0.201986349 0.068952807 0.168664114 0.180386243 0.120669966 0.102075505 0.106279971 0.048306325 0 0.128194557 0.088067123 0.569819711 0.428643934 0.574860753 0.493211809 0.577336116 0.605308767 0.640416056 0.653283844 0.542314553 0.558683544 0.605350955 0.776897746 0.803114758 1.200886813 1.465021534 1.702505484 2.208199087 2.910130776 4.401069954 6.842379411 10.33119274 13.0023958 15.93943192 19.02885968 23.00896132 27.95170032 34.24464493 41.77922027 52.42546909 67.47836502 92.34496438 134.2114224 250.2394749 253.1645201 436.6115498 548.8684466 647.2233502 717.04051 764.5994584 787.5976342 802.3220799 809.0279959 821.0197187 832.6962416 837.4434018 828.5767826 812.3963361 784.9101584 757.061105 737.7207425 739.6982087 724.0698119 713.3323224 692.1883753 661.3881 612.7767758 537.2134228 431.3624443 302.6318498 190.8973178 140.0859804 79.41067301 57.8512089 44.44127498 35.22351005 28.48564228 22.88183785 18.59173557 15.28690315 12.53639635 9.201735068 5.723301571 3.526498799 2.178912653 1.563709539 1.22742874 0.830717516 0.719067271 0.230435847 0.141726208 0.182371536 0.161101203 0.049925836 0.167830957 0.036241586 0.022039083 0.155856325 0.010329169 0 0 0.040727069 0.601334944 0.430965566 0.376656354 0.707157857 0.594235658 0.531262853 0.58331736 0.580198823 0.615842869 0.605621808 0.594012301 0.693679458 0.853215816 1.150352265 1.497260269 1.656800584 2.034588114 2.872944553 4.408493886 6.666309986 10.15957785 13.0023958 15.30696297 18.31503603 21.89816018 26.27147922 32.00605027 38.80906297 48.18909653 60.73642233 80.33158055 111.5806201 167.7748251 253.1645201 367.9458954 483.2640283 590.5560753 671.9343466 732.114968 764.1021009 784.1298945 792.7640717 800.8873082 806.5381498 808.4679402 798.9299918 784.2833566 763.4329306 746.0760612 733.1101329 724.7623703 681.7127429 689.1045607 657.2546082 615.5414324 556.410758 469.7008032 357.7251936 239.2817772 150.775974 97.71352922 69.3973879 52.19255932 41.01686626 32.96211196 26.85392457 21.78385521 17.68581443 14.52700489 11.97436164 8.921425658 5.6154841 3.383373352 2.069676603 1.387773247 1.207651379 0.80238109 0.646630371 0.328922984 0.250763639 0.151385505 0.145401202 0.179266402 0.160182949 0.282700217 0.147649431 0 0.046070339 0.035652205 0.050637762 0.046010852 0.484109239 0.483338241 0.551357933 0.572407698 0.487841265 0.490942711 0.505192197 0.617128227 0.677003094 0.578342435 0.620703012 0.690020566 0.90474184 1.224226365 1.529872315 1.656800584 2.126724744 2.855063429 4.378725297 6.54491211 9.832422922 12.33839785 14.70927037 17.33675562 20.5754716 24.59885027 29.8458868 35.90840438 43.87870055 54.28055242 69.8757021 92.90070228 132.6651073 196.0329009 367.9458954 402.1107329 514.7505653 605.6656155 678.0899219 723.0080808 752.5426986 764.3051279 771.2387183 774.4024123 778.4780635 774.9321534 766.156568 750.6622032 737.3406854 722.3653571 706.6461963 681.7127429 649.997542 608.2832868 554.3554813 482.1033475 386.27769 277.8621132 180.8754151 118.016853 81.49247726 60.72246142 46.98742352 37.74415653 30.66697201 24.90452411 20.33193822 16.86963174 13.93725525 11.45774489 8.796075187 5.624891525 3.343161963 2.037535018 1.475937493 1.151517174 0.753558193 0.56779304 0.326038868 0.096100918 0.151385505 0.09548653 0.162436575 0.029412397 0 0.107508117 0.200863899 0.009419551 0.01717007 0.050637762 0.075648783 0.409851034 0.493415735 0.485412768 0.412503068 0.516739366 0.610416194 0.7066784 0.578593498 0.599754086 0.560540921 0.624862861 0.670959871 0.934386292 1.180110959 1.393305438 1.716257703 2.1780311 2.791109493 4.301658717 6.62847789 9.832422922 11.8499368 13.98215146 16.27664374 20.5754716 21.1170237 27.48601571 32.92059804 39.83047648 48.43027311 60.4663974 77.59430603 105.0353626 112.3128484 219.4105941 312.2044306 420.4571 516.0196411 596.6850242 652.4805516 691.5944968 711.0265228 723.120074 729.1512425 736.6828493 738.4868836 737.1912712 668.2797717 708.35299 686.9561813 663.6800466 631.5486269 592.0293475 540.5540571 475.0330265 392.1647516 295.4721142 203.0310785 134.3371785 93.08501872 68.41204607 53.00138374 42.10104091 34.35418233 28.21087676 23.13379096 19.09451735 15.86203521 13.26049279 10.99931059 8.796075187 5.461600114 3.417859146 2.037535018 1.472622676 1.075411306 0.811782578 0.56779304 0.361855267 0.199303551 0.125852595 0.08418186 0.240978136 0.070870516 0.152738328 0.079664389 0.087601393 0.027529904 0.106466356 0.031710406 0.026216103 0.448677125 0.412426337 0.552514296 0.553769789 0.686233128 0.576517891 0.59816999 0.553695396 0.597709154 0.530675811 0.596824993 0.660899468 0.756805185 1.222940018 1.505776247 1.652068087 2.089675251 2.710497813 4.181091119 6.36485321 9.210127808 11.26538653 13.98215146 15.32063603 17.97687068 21.1170237 25.26353187 27.20355909 39.83047648 43.20863968 52.76188032 65.43186785 84.42417909 112.3128484 158.9147726 226.157979 316.6147119 407.3095539 490.8816315 552.5310274 600.0488667 627.9901233 650.431032 663.6112315 736.6828493 680.4730822 681.3977228 668.2797717 650.0362224 624.7732662 596.7700311 560.3359155 513.5650571 452.6889986 378.6537 201.8406228 209.6169954 144.0419922 100.934884 75.00523128 57.916039 46.24780096 37.5200263 31.00369808 25.7392284 21.30336411 17.59065174 14.90426438 12.46093365 10.42617553 8.290363594 5.311699306 3.404561196 1.974055142 1.464922584 1.111658406 0.867735615 0.541904721 0.268658435 0.131698278 0.211174825 0 0.231775717 0.062229251 0.245400291 0 0.024620781 0 0 0.033756832 0.05173014 0.544195409 0.52400075 0.488134696 0.504451423 0.448986568 0.498341815 0.67346357 0.574670049 0.509829523 0.630765664 0.503152393 0.643560949 0.766221065 1.143042575 1.284063091 1.671510817 1.994700562 2.710497813 4.098561612 6.167162361 8.957982201 10.87418411 12.42743466 14.38370763 16.71095228 19.59397982 23.00359105 27.20355909 32.31396397 38.32249995 52.76188032 55.32908717 68.83960804 86.98549393 115.5174717 157.1318776 219.8174575 293.4161178 370.6152904 434.1331279 487.1114653 523.3223142 554.4137717 574.1966196 591.1237772 598.3015037 599.3197868 586.80399 568.5629594 541.2630772 509.2869187 466.3583699 412.8457037 346.8245269 273.6177078 201.8406228 143.5091027 103.9281146 78.44896219 61.47287849 49.2943205 40.44228292 33.47012909 28.08923151 25.7392284 19.51204041 16.45563489 13.92518338 11.79342749 9.939909361 8.000498333 5.238098667 3.229130447 1.974055142 1.429981621 0.983461781 0.867735615 0.621639707 0.279181653 0.162069471 0.211174825 0.132499052 0.070229439 0.078599753 0.121889567 0.164648102 0.101994546 0.048568263 0.0914671 0.036955338 0.047291073 0.474745622 0.37471424 0.406287133 0.538132037 0.512352473 0.627713963 0.542879107 0.574670049 0.477032981 0.519605671 0.500627464 0.643560949 0.853036806 1.127504763 1.338396411 1.617383493 1.949986059 2.707348511 3.988231717 6.109278543 8.506382639 10.2016495 11.72178785 13.47482699 15.46791826 17.91220251 20.9558705 24.52220018 32.31396397 33.77789886 40.11053132 47.44637954 57.0106216 69.37770589 86.96847457 110.7633849 146.7146256 193.9261703 253.1998721 309.5917068 362.9109712 404.2188128 439.9395005 464.6142452 484.1683393 491.6005466 492.6997886 480.9361 462.2951324 432.6068726 396.5611799 350.3577534 296.8738726 237.8944114 180.4751183 133.9988603 143.5091027 78.46120498 62.78336027 51.08971014 42.20520804 35.45772416 33.47012909 25.00348288 23.43348283 17.76130411 15.15260132 12.85909854 11.04648265 9.368438447 7.664691594 5.121187712 3.310358315 1.962186566 1.341856055 1.077894945 0.867718884 0.569095489 0.195251827 0.211921356 0.103363381 0.147288804 0.123818728 0.166864487 0.121889567 0 0.036238978 0.094011009 0 0.030983647 0.047291073 0.37323584 0.37471424 0.449437959 0.670298527 0.486054772 0.55435845 0.559824435 0.574950437 0.562176021 0.534259232 0.499718386 0.625103129 0.774398184 1.127504763 1.300854868 1.430168726 1.830586968 2.567347178 3.849291845 5.891070909 8.506382639 9.648610228 10.97187452 12.36783991 14.32978 16.46272329 18.90587411 21.88777945 25.61889648 29.95793393 34.65887566 40.63048539 47.87121589 56.45022406 67.86809219 81.91389534 101.7693005 126.7457521 161.0786242 200.3669009 243.2682836 280.6388237 313.9504443 337.5445676 355.8106954 363.1086009 363.4343256 352.1511731 334.0018959 305.7486776 272.4210452 232.8208968 191.048711 151.2315027 117.9719658 93.10291963 75.08844804 61.51715402 51.18629411 42.97087237 36.3593095 31.05857922 26.17289826 22.27248717 18.90743032 14.82578822 13.86709087 12.09150018 10.35578626 8.880511726 7.289219489 5.078363151 3.156602064 1.963667215 1.249813877 0.990178671 0.664732962 0.46580668 0.180538626 0.134297509 0.156489064 0.147288804 0.126723533 0.184760723 0.07845373 0.111691624 0.104634346 0 0 0 0.057182227 0.461228994 0.458686074 0.536032502 0.480208279 0.543303332 0.549219538 0.557703492 0.566230353 0.5490202 0.533872699 0.491914937 0.672805374 0.777818338 1.034764539 1.258095073 1.422538799 1.815076142 2.496605288 3.849291845 5.53822142 7.68609353 9.028438037 10.25021584 10.73996324 13.17287726 14.95717553 17.15129676 19.63756269 22.61181292 26.20542575 34.65887566 34.97823155 40.44544032 46.59205621 54.30475014 63.5839179 74.95616119 88.37132146 105.6201557 84.91317986 150.6969941 174.3624511 198.2795105 129.7809014 229.7525543 234.8935347 234.4455621 225.4239516 211.7901123 191.5540744 168.6130196 143.6120105 120.0125799 99.18275342 117.9719658 53.54800027 75.08844804 49.64619489 42.37803731 36.48317662 31.40275352 26.89630205 23.04962968 19.83547123 16.95031178 14.82578822 12.65950785 11.04252466 9.606052831 8.336169242 7.148898817 4.967506123 3.043407123 1.840553909 1.195668562 1.105304032 0.761806556 0.548845508 0.227025139 0.068505383 0.084463174 0.171295458 0.157530016 0.085589232 0.088871971 0.038547557 0.090913881 0 0.00131422 0.030412824 0.030241398 0.466047937 0.437246268 0.402582903 0.480208279 0.548945178 0.569786428 0.644403102 0.4968143 0.563839727 0.502718003 0.421755321 0.672014316 0.799636223 0.98074516 1.246592612 1.472906932 1.699188868 2.51165195 3.623082772 5.547703507 7.394234881 8.520651196 9.811481553 10.73996324 12.08238781 13.69468438 15.49761219 17.52692808 20.1241347 22.92730977 26.31687018 25.62647963 34.30129817 39.04338502 44.68593279 50.62350379 57.85583256 65.80019489 75.12105648 84.91317986 96.86840822 108.1815155 120.3076301 129.7809014 137.647858 139.9051721 140.0487393 134.7549265 127.2333945 116.3375854 104.8713758 92.68211324 81.18575096 70.68720717 61.66438228 53.54800027 46.83291795 40.74345005 35.55599927 31.05135589 27.03619904 20.38859146 20.3879168 17.56371041 15.38321726 13.44275826 11.68803699 10.21614114 8.971803685 7.772203219 6.600270909 4.639262744 3.034968507 1.834613324 1.148871616 0.880055401 0.851037121 0.500823925 0.312656901 0.143879265 0.010598213 0.087247396 0.049722737 0.12881848 0.088871971 0.105408583 0.053561601 0.132094617 0.064983077 0.014478286 0.114716068 0.466047937 0.521209197 0.402582903 0.569041247 0.59025095 0.51891752 0.607205004 0.582362584 0.556246861 0.502718003 0.452301835 0.617077223 0.738833028 0.96640374 1.144021279 1.398153977 1.593836146 2.489512388 3.666159205 5.226526041 6.827243694 7.926541475 8.912620927 10.06502685 11.09457224 12.38900616 14.12653717 15.69675311 17.79376863 20.11642562 22.83624 22.07022484 29.29730027 32.7500716 37.03623388 41.34530753 46.23378607 51.30121078 56.95941059 62.36202315 68.68411297 74.17514164 79.80888288 84.11716493 87.66179763 88.63878269 88.54983584 86.00116858 82.51921607 56.63869639 104.8713758 65.56362397 59.67104813 42.46691219 48.06545429 42.85127808 38.19392822 33.87878265 30.00724689 22.56132155 23.25647968 20.38859146 17.92881708 15.71746959 13.81061753 12.19832995 10.70525886 9.514191461 8.293642429 7.401594046 6.260476493 4.639262744 2.863416589 1.837641187 1.04916353 0.917515356 0.851037121 0.491345706 0.257182331 0.08098589 0.010598213 0.142393939 0.070527502 0.108558784 0.055797452 0.075276444 0.079213178 0.091432198 0.054355008 0 0.038326413 0.393564711 0.475051647 0.387190367 0.569870985 0.509014987 0.615984547 0.54123726 0.517109798 0.55116606 0.604406974 0.527037248 0.568425419 0.714035765 0.848674471 1.207683763 1.204518269 1.535061781 2.306943763 3.515841909 5.075257927 6.462790096 7.284669598 8.323529758 9.189141461 10.21987425 11.38845306 12.67046429 14.02529356 15.67399466 17.5871705 19.89189059 22.07022484 24.9659989 27.76209457 31.00590196 34.24283685 37.73437849 41.00760096 44.92051571 48.41492689 52.04292027 54.98497584 58.26249813 60.32193973 62.28046155 62.53368301 88.54983584 61.17420311 82.51921607 56.63869639 53.50237543 49.73805626 46.23394799 42.46691219 38.71248799 35.04184726 31.70661027 28.48544438 25.29018534 22.56132155 19.89531785 17.78926192 15.68962872 14.02535653 12.34884155 10.93510119 9.760657352 8.045947763 7.656130639 6.787376831 5.866038416 4.585622973 2.849018498 1.792830434 1.04916353 0.919838877 0.615078707 0.435302624 0.257218492 0.177376371 0.062823903 0.128651255 0.031242968 0.167503883 0 0.005523911 0.126071274 0 0.018361929 0 0.000191682 0.613148197 0.437139942 0.55146192 0.602043424 0.575164258 0.511974035 0.65025679 0.554012216 0.512064349 0.447009732 0.478518037 0.571375112 0.746109614 0.875708268 0.983077676 1.260611096 1.579631457 2.261515023 3.390676744 4.83341479 6.11787368 6.479424452 7.797336461 8.400546863 9.313260457 10.2741347 11.36737676 12.50264548 13.8624942 15.45026922 17.0826526 19.07477237 21.13010306 23.41133607 25.98133151 28.3343121 31.07953858 33.55636831 36.21960142 38.43631018 41.10709046 43.10854749 45.12158164 46.22081466 47.32730699 47.44613667 47.48255918 46.59968434 45.41571434 43.74156516 41.80526205 31.77370721 36.90490055 34.2965216 31.65311443 28.8591147 26.31697813 23.82759977 21.5389905 19.33852749 17.2833947 13.61507479 13.9050426 12.47744027 11.09745977 10.00470347 8.959830763 8.045947763 7.09304437 6.351062311 5.639916598 4.297410174 2.959560685 1.688716384 1.151719571 0.76217312 0.705689352 0.454954229 0.273088956 0.118313792 0.032121525 0.183127602 0.106961555 0.081853986 0.085318703 0.005523911 0.141089961 0.015494455 0.025429552 0 0.108013841 0.446962955 0.547564558 0.621919465 0.463390596 0.58290366 0.483071706 0.503381686 0.507545043 0.561497496 0.542110627 0.524820054 0.571375112 0.746109614 0.926350671 1.078178301 1.256513676 1.495527749 2.222335411 3.31184526 4.597720932 5.837646128 6.479424452 7.247756836 7.766121406 8.526073644 9.408791963 10.18325384 11.3249363 12.45735347 11.86751388 15.08836493 16.53055785 18.05872913 19.72016776 21.77090178 23.58044123 25.75582498 27.55974228 29.61912091 31.33602539 33.17703087 34.49673297 35.83497466 36.61162242 37.36072616 37.53234105 37.48451233 36.75997511 36.1047747 34.90518863 33.58151954 31.77370721 30.10839155 28.04874306 25.96335863 23.89592009 26.31697813 20.0668068 18.28025968 16.47009055 14.97458169 13.61507479 12.18711265 11.1212437 9.975621233 9.042722785 8.038817082 7.3447501 6.645162621 5.934509858 5.210455699 4.025605945 2.770908447 1.662043123 1.011283758 0.866612355 0.66424424 0.440733977 0.235903002 0.061339836 0.058062215 0.055858262 0.121498356 0.26553675 0.047379139 0.103452796 0 0.027631049 0.025429552 0.074129382 0.021987341 0.413536643 0.541644394 0.570371132 0.508562786 0.516279699 0.604023229 0.669860629 0.514512906 0.536166084 0.626994239 0.483538209 0.431813295 0.611417746 0.778900849 1.025480352 1.112326767 1.508280575 2.18638516 3.256320945 4.406669612 5.487398119 5.988393406 6.565102361 7.05665784 7.815157315 8.48010068 9.422141187 10.16595562 10.96860018 11.86751388 13.13925233 14.19485749 15.62054379 16.81349123 18.26009192 19.57226484 21.31320511 22.65660119 24.29205201 25.49824973 26.86595146 27.82558434 28.95829836 29.39195023 29.86684616 30.10490132 30.08748616 29.64360648 29.17112132 28.33564342 27.40108082 25.81170461 24.61380968 22.96477575 21.47711091 19.91804932 18.53235671 17.13433137 15.61132347 14.37403753 13.00516639 11.97932712 10.8338126 9.812075251 9.111861689 8.143773105 7.448344215 6.707817616 5.990890539 5.428822553 4.796984183 4.003767731 2.770908447 1.775047361 0.950463831 0.743680757 0.45536622 0.399581127 0.205303145 0.229242513 0.059369386 0.075667277 0.03804151 0.086798065 0 0.043398066 0 0.029287189 0 0.036557632 0.04591246 0.529203169 0.476557483 0.521826913 0.480343211 0.550741116 0.629172933 0.441761166 0.514512906 0.480356344 0.474560226 0.483538209 0.378596849 0.685556762 0.852290905 1.025480352 1.046951553 1.212098721 2.117210274 3.154750804 4.175981712 4.984295201 5.556071059 6.094060068 6.553249078 7.179177447 7.668294265 8.308663904 9.157108721 9.828968676 10.61299269 11.53194822 12.51016566 13.49743251 14.49207562 15.62902648 16.74868813 17.97866977 19.02305763 20.06436904 20.99896763 26.86595146 22.74416274 28.95829836 23.94401868 24.39695676 24.37234525 24.3781563 23.88670877 23.60634808 22.94667694 22.11712703 21.23752653 20.25734808 19.01161543 17.97989315 16.81351822 15.69028539 14.50345484 13.44146292 10.84238525 11.53953137 10.40875137 9.672241233 8.843331799 8.08956932 7.303574402 7.448344215 6.158782215 5.664573982 4.942124607 4.431424146 3.727314662 2.681190689 1.592330311 0.915840406 0.729426053 0.548263414 0.362935169 0.20105784 0.050939414 0.051695975 0.055443599 0.031298173 0.146136759 0.080444968 0.055335699 0.038581622 0.029287189 0.074042792 0 0.021828787 0.427009284 0.446041643 0.542769363 0.45711916 0.527790436 0.476180574 0.354807525 0.567958826 0.518423401 0.433688214 0.44443245 0.428391522 0.58357382 0.62837009 0.869428736 0.997086265 1.310218215 1.991657406 2.8105999 3.622785023 4.984295201 5.187400402 5.6007109 6.042178005 6.541279753 6.966142187 7.650520187 8.167273676 8.797469479 9.442794703 10.16360781 10.93887027 11.68908945 12.55412635 13.36671087 14.16789817 15.20279584 15.92494927 16.77074493 17.61113434 18.30486219 18.7614884 19.40019119 16.25996621 19.98412078 19.86282635 19.96411493 19.68201813 19.39965146 18.77146434 22.11712703 17.63973982 20.25734808 15.94028648 15.14187877 12.06150941 13.34187447 12.43887685 11.55952822 10.84238525 10.08257694 9.187279406 8.528683219 7.79952595 7.307366877 6.694065397 6.179894498 5.635666256 5.192997361 4.639571288 4.221101909 3.515849105 2.513540991 1.52361779 0.892249342 0.669612895 0.553604363 0.401620752 0.255349961 0.145672684 0.01531227 0.072075769 0.173429175 0.043984253 0.038574678 0.092007546 0.089316751 0.180970587 0.02478573 0 0.043308759 0.427009284 0.452267922 0.508139101 0.502781871 0.447483791 0.485753964 0.58796692 0.506805798 0.460739822 0.491971158 0.407758156 0.413625068 0.631709285 0.682622271 0.935387484 0.916490776 1.125777639 1.769779635 2.79852263 3.622785023 4.225541155 4.623753717 4.94239447 5.447712963 5.885558507 6.3544329 6.727231562 7.322370361 7.846199658 7.402109484 9.060722648 9.654987991 10.1815447 10.82851429 11.60838242 12.25224858 12.82987237 13.39705247 14.1666658 14.7893837 15.37904338 13.13079662 16.13460584 16.25996621 16.45406968 13.71794658 16.47121498 13.56347699 16.01999502 15.68267525 15.21356338 14.65182553 14.18743626 13.43372685 12.88307137 12.06150941 11.36385954 10.76139037 10.08914361 9.452068995 8.79926047 8.177080498 7.525100452 7.176459927 6.602639406 6.090810918 5.590325671 5.006737909 4.706826548 4.241925438 3.795838279 3.215950338 2.258190311 1.56163879 0.91390279 0.670787968 0.524618736 0.217667819 0.122935106 0.138879063 0 0.105324386 0.185805902 0.089278421 0 0.025657865 0.11335443 0 0.002767049 0.010580573 0.058477795 0.399385836 0.361576049 0.424138121 0.478667721 0.437403688 0.518746697 0.4396252 0.406153731 0.428512961 0.397668968 0.420817997 0.521133635 0.420189576 0.747391913 0.750334589 0.918841283 1.125777639 1.663766648 2.481607201 3.177149434 3.753639799 4.15008116 4.59981237 4.94144995 5.302240607 5.755384685 6.727231562 6.57252989 6.900846132 7.402109484 7.958324142 8.387586242 9.018731963 8.209985795 9.979930046 10.51850466 10.98756256 11.40969128 11.97323721 12.45196521 12.85080475 13.13079662 13.46584055 11.43757712 13.77755032 13.71794658 13.85175365 13.56347699 13.45419146 13.20531479 12.9105884 10.5781174 12.0039926 11.4823384 10.98559256 10.41109918 9.99463758 9.42883379 8.813944616 8.311890566 7.87722221 7.328166119 6.772048612 6.478041854 5.937437872 5.429482817 5.074497813 4.717919717 4.167386575 3.800186671 3.351035667 2.893041251 2.141936922 1.427618521 0.752758499 0.676555931 0.508817177 0.383789013 0.186669284 0.148685795 0.009551621 0.105324386 0.050552674 0.117133321 0.018469722 0.182790723 0.067134793 0.01263791 0.047245458 0.035762471 0.137736733 0.486713237 0.494436087 0.379186859 0.493293847 0.44675723 0.487405976 0.452433888 0.61209834 0.390685363 0.360073721 0.383800437 0.342645248 0.488983775 0.656079625 0.723980397 0.850373798 1.041325808 1.582844626 2.341175886 2.869335584 3.346276183 3.585863265 3.99551442 4.354477205 4.702583402 5.142934174 5.409787315 5.848416361 6.236523452 6.623902813 6.96733768 7.375890493 7.703658913 8.209985795 8.731352142 8.977600342 9.466713562 9.744636484 10.15655539 10.51338626 10.87299671 11.10866808 11.35474717 11.43757712 11.62435831 11.61494909 11.55951922 11.33219562 11.36331082 11.13151648 10.89543132 10.5781174 10.24749023 9.812677945 9.540692009 8.923869717 8.660765872 7.123273525 7.794475913 7.307500909 7.015129521 6.432452096 5.944519977 5.741755703 5.353284297 4.918718489 4.436208817 4.064680311 3.685537169 3.29904026 2.920625749 2.557575438 1.943856571 1.402135356 0.792833966 0.577991613 0.439608648 0.232201831 0 0.184950257 0.09570188 0.149456254 0.130520776 0.0683838 0.061315099 0.064469968 0 0.089070339 0 0 0 0.455544779 0.494436087 0.522904476 0.496427226 0.411859984 0.398184226 0.325741299 0.390341377 0.471546216 0.421498681 0.435834884 0.489378045 0.488983775 0.695324903 0.674274868 0.905950826 0.958984306 1.582844626 2.341175886 2.58001005 2.93043437 3.222579073 3.50358653 3.777279799 4.137443475 4.5038131 4.696185849 5.130000539 6.236523452 5.848885023 6.254498128 6.5039559 6.880020804 7.224392995 7.48893521 7.796477397 8.254456521 8.467340658 8.673953178 8.9820189 9.349503059 8.119966689 9.747227169 9.698660822 9.879666941 9.844782648 9.860740548 9.729425205 9.645569772 9.478803425 9.308160046 7.744627717 8.783294475 8.370700913 9.540692009 7.815233776 7.494891986 7.123273525 6.801879269 6.420283973 6.166621735 5.740136525 5.452023575 5.032968594 4.567736452 4.254649479 3.906245534 3.678418183 3.203944132 2.842214352 2.706869954 2.242039909 1.958420178 1.305509105 0.801018462 0.593927294 0.357094614 0.234285443 0.193598287 0.099781759 0.009850909 0.119774201 0.089479055 0.08573333 0.140009249 0.06920673 0.020862579 0 0 0.10569032 0.10360302 0.445286116 0.390432501 0.513020114 0.419911077 0.411462296 0.500238592 0.488450705 0.426239185 0.526612394 0.386416489 0.456174639 0.401008432 0.577441812 0.543724678 0.614413945 0.781922145 0.907902836 1.477652023 1.986794475 2.481756525 2.628304735 2.898510475 3.159390648 3.524663731 4.137443475 3.783511836 4.062551991 4.419059023 4.581587621 4.993583886 6.254498128 5.543428877 5.926250251 6.24769668 6.592747128 6.772263603 7.09428484 7.336085699 7.494240717 7.750840863 7.916199425 8.119966689 8.284814311 8.265561384 8.336836703 8.333547073 8.338387516 8.238466237 8.235240475 8.156791297 7.833088813 7.744627717 7.573962749 7.295916589 7.139726174 6.773851297 6.572050434 6.228459945 6.801879269 5.534974968 5.229964096 4.077873913 4.447731968 4.281894849 3.94937684 3.679441863 3.906245534 3.107198242 2.730870671 2.632391361 2.35929089 2.178892863 1.733241082 1.169781502 0.773255315 0.433572173 0.407087547 0.198242989 0.114780026 0.105688701 0.071430005 0.063301299 0.079073902 0.026173591 0 0.030036545 0.017177887 0 0.049888388 0.10569032 0.037274082 0.347184884 0.409297815 0.346592085 0.486628321 0.384296626 0.453984251 0.364046285 0.446681938 0.396341152 0.386416489 0.384068142 0.422377445 0.415953986 0.509178524 0.591548092 0.743223879 0.858293198 1.258977525 1.865606192 2.201093594 2.339708731 2.596979037 2.807504571 2.907650735 3.143948187 3.394995452 3.487239128 3.754309959 3.997959379 4.198235516 4.396447201 4.768748416 5.061865525 5.19445642 5.529705443 5.742819863 6.046149489 6.188216174 6.488381205 6.554161215 6.805470247 6.73487858 6.985357333 7.180673388 7.079740123 7.145108142 7.112308991 7.060560959 6.840515557 6.89700868 6.75499147 6.57430289 6.416182055 6.190346292 6.034646128 5.750582922 5.509500799 5.145356644 5.893091283 4.715582703 4.297662945 4.077873913 3.869617027 3.579283105 3.440926137 3.20668684 2.924368749 2.743931142 2.595930169 2.462908393 2.17509679 1.92723211 1.53112268 1.148316598 0.685320092 0.394674028 0.361663934 0.182831202 0.046724793 0.08954608 0.088853594 0.029955946 0.121469211 0.083365264 0 0.005546133 0.032620582 0.078920449 0 0.059981013 0.066186828 0.41048827 0.388244452 0.451165262 0.379798189 0.461201288 0.340217741 0.364046285 0.356186525 0.344202628 0.438335345 0.380451437 0.424496679 0.400385858 0.509178524 0.627408029 0.583315561 0.793529223 1.179504667 1.761852858 1.756007626 2.339708731 2.407877027 2.346630717 2.607738475 2.791291201 2.860472384 3.216771621 3.319068594 3.459785064 3.551958575 4.003593219 4.064718991 4.257294137 4.335197292 4.6131481 4.710536265 4.925857265 5.106459489 5.312036635 5.433546954 6.805470247 5.571527913 5.675823671 5.688061959 5.927391772 5.710808712 5.78045226 5.814240009 5.83590821 5.634774808 5.534504507 5.398167913 5.308033667 5.190746703 6.034646128 4.741396 4.570066269 4.379187662 4.155638539 3.954784895 3.805345553 3.639081151 3.448438224 3.143552388 3.072043187 2.863318539 2.609550155 2.418556406 2.35702584 2.054994256 1.909006461 1.530502895 1.479716475 1.100728055 0.592847212 0.481226293 0.293308083 0.260025697 0.119131567 0.08954608 0.038609445 0.111139304 0.02921044 0.002065238 0.032115965 0.067560952 0.11705686 0.19219338 0.002939004 0.051458298 0.107130309 0.242459414 0.34512358 0.470773329 0.401776463 0.443713445 0.443594345 0.376570897 0.532783262 0.462324817 0.4117506 0.302534249 0.331321077 0.374892079 0.438945235 0.576082872 0.609935118 0.76658592 1.115825091 1.51605263 1.667936932 1.841993178 2.034284968 2.170464142 2.315454342 2.530162753 2.635247411 2.796665073 2.930953406 3.003421521 3.240053603 3.33916979 3.529548251 3.642006466 3.693724813 3.897864489 4.097689954 4.253807507 4.349101534 4.463041297 4.532262959 4.551375557 4.647747237 4.704500329 4.727026694 4.732674027 4.716206986 4.743969594 4.632063699 4.735994242 4.690426973 4.604818329 4.535745091 4.438127543 4.310780087 4.153530009 3.989047603 3.879872721 3.7459541 3.562165694 3.367640338 3.266503776 3.217834881 2.997200279 2.861223502 2.726963954 2.608014635 2.244098963 2.244447986 1.965521174 1.702170854 1.685091224 1.530502895 1.479716475 1.085476297 0.540655705 0.319206926 0.347905238 0.174488837 0.052059994 0.130085217 0.111632794 0.045736797 0.076702112 0.096771797 0.01748071 0.123180322 0.078229995 0.058228414 0.076092204 0 0 0.404679289 0.34512358 0.30911207 0.488158624 0.422215977 0.45406539 0.424840845 0.383610364 0.425506237 0.336898246 0.234875454 0.331321077 0.324916238 0.414755524 0.545302477 0.597424179 0.759515149 0.973670251 1.278817854 1.494162242 1.683127521 2.065410068 1.799204598 2.090671945 2.097593032 1.949848429 2.319136174 2.592693612 2.737749479 2.580677511 2.86853679 2.994740027 3.126029283 3.252618425 3.330789644 3.506499251 3.44816926 3.69936495 3.74144289 3.755616995 3.908668005 3.885857384 3.951523151 4.03507184 4.06816874 4.103694406 4.019632977 4.027392438 3.849886443 3.895354763 4.604818329 3.655023758 4.438127543 3.596497667 3.609721854 3.442127027 3.360179525 3.271427877 2.982488247 2.913963731 2.850478457 2.826158402 2.585518854 2.412278493 2.329754384 2.138761534 1.961136799 1.98030247 1.755087393 1.702170854 1.476540187 1.532165251 1.217701078 0.96049374 0.606580901 0.452206394 0.130409322 0.117258718 0.149245761 0.092107845 0 0 0.041191764 0 0 0.02616491 0.083006966 0.036688668 0 0.071732944 0.024539975 0.354452745 0.335777864 0.395079722 0.323590041 0.347071901 0.401606989 0.300044763 0.4137985 0.403825982 0.362419731 0.369612389 0.335526442 0.331904161 0.359874742 0.571990669 0.513994949 0.682335047 0.973670251 1.278817854 1.327975201 1.431590005 1.594876018 1.62995821 1.710126416 1.915744041 1.949848429 2.05947668 2.190089479 2.159413251 2.313479845 2.459124913 2.508396502 2.597140055 2.254607429 2.954679763 3.017544352 3.115662945 3.175781228 3.201865288 3.247179785 3.375192005 3.3785509 3.398036808 3.418576082 3.458713708 3.404907521 3.401586406 3.342671712 3.381798251 3.339047452 3.373360534 3.243326142 3.241055694 3.077418858 2.970749205 2.848858379 3.360179525 2.695101228 2.590233361 2.505541352 2.416371416 2.402719945 2.213943571 2.027106612 2.329754384 1.937767562 1.825273365 1.630850557 1.630711128 1.430833489 1.420513927 1.210476845 1.001574087 0.883612466 0.511995534 0.306024298 0.314593528 0.118289864 0.118996456 0.009373008 0.084443969 0.061712994 0.051698287 0.023633118 0.102266838 0 0.062946331 0 0.031128204 0.060960058 0.024539975 0.463446458 0.335777864 0.331182277 0.447975121 0.457502275 0.333445168 0.426850155 0.379566287 0.377228374 0.381613018 0.263726149 0.305592877 0.305261035 0.490420076 0.481668598 0.596852069 0.626906983 0.79690377 1.088104763 1.266970868 1.301592493 1.326220192 1.62995821 1.438150374 1.915744041 1.606955986 1.705609808 1.782775338 1.921323009 2.115218685 2.115047772 2.177511164 2.30419026 2.254607429 2.448322297 2.496700639 2.572929744 2.547177616 2.670385374 2.847955237 2.813724014 2.711463023 2.801080032 2.809754329 2.875641384 2.836941228 2.802377174 2.821802813 2.899598922 2.276314311 3.373360534 2.662132963 3.241055694 2.650817607 2.970749205 2.426505671 2.418069753 2.338883849 2.200453119 2.162204534 2.150517667 1.988682616 1.908561187 1.804706205 1.73854389 1.677366845 1.542738484 1.395786379 1.630711128 1.243117676 1.420513927 1.103571511 0.840297563 0.730871349 0.481755404 0.306024298 0.164481867 0.141519763 0.133799791 0.003121992 0.087795569 0.056393355 0.033541238 0.010729268 0.076254445 0.006285314 0.1343334 0.081232014 0.002182111 0 0 0.376533206 0.316471325 0.405707377 0.422559603 0.326725759 0.36167248 0.381892146 0.448165285 0.349803005 0.521126799 0.448151612 0.292228091 0.328787873 0.345727714 0.378858256 0.511938683 0.626906983 0.787569479 1.06285458 1.048264886 1.061270484 1.195207096 1.242860406 1.403283174 1.453732265 1.364221402 1.515608256 1.598940155 1.672620854 1.798045087 1.858949571 1.801838461 1.888097475 1.986637954 1.923942479 2.079980872 2.157938 1.857747781 2.343057731 2.173957068 2.340017274 2.316301712 2.341511416 1.867951301 2.369936986 2.377314142 2.374445498 2.360858795 2.423055922 1.892538521 2.866869936 1.874845402 2.312698142 2.178598712 2.113387215 2.10939774 2.096169055 1.947732703 1.901145352 1.892089648 1.768640813 1.629657763 1.718596516 1.6358871 1.465065612 1.411365571 1.295283096 1.274915635 1.110769658 1.145154703 0.949557091 0.939522685 0.81260494 0.681662548 0.45176031 0.265656029 0.21388317 0.175916592 0.026736606 0.003121992 0.019648051 0.079106645 0 0.072952518 0 0.098781377 0.1343334 0.006550381 0.098411035 0.08573001 0 0.274186309 0.359644639 0.355067853 0.447925287 0.325477103 0.444423634 0.342198625 0.279052839 0.367456634 0.302292002 0.301295218 0.335350401 0.260305365 0.285434379 0.500451604 0.404451435 0.596867272 0.735843305 0.815044502 0.802691972 1.061270484 1.065450662 1.113961237 1.015651941 1.200319201 1.185835653 1.25207353 1.356603169 1.335203032 1.218093279 1.858949571 1.628147429 1.701855114 1.695080653 1.698701315 1.646966776 1.806957763 1.46861521 1.888237804 1.596919781 2.340017274 1.92618774 1.914814813 1.867951301 2.369936986 1.929806603 1.963293904 1.969016799 1.951399242 1.892538521 1.88146784 1.874845402 1.865238279 2.026250247 1.765352982 1.681126037 1.67187963 1.660736087 1.901145352 1.576837475 1.434357 1.46181826 1.718596516 1.422588274 1.20179805 1.183576 1.207804301 0.99967605 1.158085639 0.979872603 0.853335455 0.741451059 0.714230067 0.613277192 0.45176031 0.198981604 0.197820024 0.105349753 0.042609769 0.056950937 0.121949027 0 0.123414203 0.029216404 0.074409994 0.038180795 0 0.06267725 0.068264287 0.144906723 0 0.320063831 0.37353107 0.263642941 0.292981638 0.443567179 0.444423634 0.320121222 0.324722836 0.293655666 0.313417195 0.328669403 0.252313102 0.22814642 0.241571835 0.179104214 0.336984332 0.454494202 0.489571716 0.644909815 0.769466348 0.787864439 0.901284895 0.87938857 1.015651941 1.033543858 1.120966881 0.972838174 1.193332447 1.346078511 1.218093279 1.312414 1.334369155 1.262466854 1.450129594 1.371456429 1.43313542 1.458145425 1.46861521 1.573500169 1.596919781 1.855505219 1.480478388 1.669352813 1.585291384 1.60992268 1.548468575 1.670532114 1.661924384 1.670235265 1.511367808 1.63986668 1.474898521 1.670167799 1.491243224 1.578334315 1.50506111 1.392472461 1.447650452 1.177871096 1.267433233 1.198772886 1.208552721 1.208862164 1.11281432 1.085077799 0.976472329 0.995858388 0.853534434 0.759780695 0.769499181 0.746225205 0.676214104 0.566578567 0.470785922 0.399853599 0.233410188 0.202563856 0.113735386 0.034032506 0.00829152 0.027290995 0.033819485 0.061785497 0.177230645 0.070323846 0 0.065893298 0.06267725 0 0.078059397 0.048329704 0.400222052 0.294203938 0.313089851 0.407917825 0.379261252 0.406330401 0.300548417 0.373716376 0.340379568 0.21392221 0.188085165 0.152669063 0.329511375 0.259896703 0.338658112 0.350116496 0.364752696 0.497330728 0.460574576 0.423191352 0.532343745 0.617206127 0.704395089 0.766928016 1.033543858 0.854021806 0.949740598 0.818274852 0.686878101 0.449304107 0.848092286 0.988196078 0.853067841 0.811934151 0.981338858 0.956539347 0.980970945 1.074195123 1.009958731 0.979813233 1.008028311 1.045669703 1.117961507 1.013590187 1.022008114 0.411142598 1.073254201 1.066231466 1.121054137 1.068662032 1.157605283 1.073282986 1.153004119 1.182212292 1.132706822 1.180021904 1.166703265 1.061124758 1.224723813 1.05609811 0.967482292 0.892140587 1.051387201 0.877858896 0.837351648 0.806384148 0.870566118 0.725264675 0.617741266 0.642586024 0.547597212 0.396031619 0.406911056 0.33373788 0.231125078 0.176474669 0.079176567 0.087545505 0.016509554 0.012486553 0.036387105 0 0.034910631 0.029514153 0.034517485 0 0.070142084 0.077111719 0.050463502 0.059996701 0.048375878 0.16536144 0.294203938 0.407250994 0.270878598 0.355634475 0.261308536 0.358623118 0.332313453 0.291800988 0.193038411 0.188085165 0.329906545 0.171987027 0.202901005 0.271491187 0.290262768 0.236984074 0.313675994 0.255572508 0.119808294 0.334219675 0.341306098 0.287150258 0.360145865 0.389834305 0.306577067 0.303076854 0.426056308 0.33608254 0.449304107 0.344879264 0.398552679 0.308682628 0.23565149 0.336808201 0.43320372 0.355645539 0.357294492 0.430902868 0.396368138 0.473880711 0.414405962 0.411630151 0.488925125 0.402306833 0.411142598 0.520951298 0.484585907 0.39663944 0.510140226 0.551631484 0.43944853 0.485885837 0.488026841 0.454112976 0.5284731 0.458169017 0.468788037 0.559251876 0.384562441 0.435060557 0.438136366 0.431821841 0.421790673 0.420785074 0.433924524 0.432151614 0.429027589 0.254439353 0.41655614 0.308983076 0.440810528 0.286375122 0.297435637 0.200817842 0.059503661 0.131363648 0.140404779 0.05920369 0 0.0964906 0.003683618 0 0.041761103 0.167582503 0 0.041328873 0 0.051180267 0 0.023817939 0.179085863 0.253463079 0.309391468 0.352233841 0.296679661 0.287314065 0.358623118 0.26193147 0.291800988 0.145979519 0.12018943 0.124786007 0.093551522 0.21124328 0.153495474 0.19627128 0.116339474 0.190739808 0.090179494 0.282154554 0.047033741 0.32463666 0.046487745 0.047197764 0.116975182 0.077562417 0.087947124 0.084440983 0.143026498 0.238050842 0.033142596 0.102549025 0.013088689 0 0.336808201 0.017721409 0.126283657 0.016404622 0.007973078 0.051273811 0.079051998 0.000271854 0.006938851 0.013139144 0.402306833 0.023211907 0.009288145 0 0 0.105373231 0.057493092 0.012171946 0.052693092 0.09832315 0.454112976 0 0.04404132 0.068450214 0 0.033325626 0.073783633 0.071570064 0.061188443 0.142603083 0.02274849 0.077424355 0.171787508 0 0.137402103 0.008220058 0.057439461 0.018264877 0.220111788 0.015526101 0.029562639 0.146112021 0.011278889 0 0.081140567 0.002112929 0.000549901 0.088422685 0.110423627 0.027972471 0 0.114947881 0.072322505 0.046404375 0.064586639 0 0.012387396 0.179085863 0.287596252 0.274280761 0.333647116 0.262572035 0.162382332 0.357479438 0.351993483 0.187908945 0.181530373 0.160974277 0.298350293 0.283252807 0.202730451 0.209375648 0.180045856 0.116339474 0.20328421 0.250329069 0.282154554 0.276264524 0.32463666 0.274167868 0.1138651 0.249412974 0 0.224463599 0.289481875 0.329079595 0.238050842 0.227294012 0.143629821 0.255540214 0.323235531 0.238379445 0.248284857 0.196992084 0.169759218 0.047664978 0.166496214 0.163160887 0.100941181 0.085710985 0.044522711 0.065625243 0.113655327 0.142718044 0.098841467 0.292217026 0.433955378 0.307013975 0.274789273 0.235681715 0.376726338 0.248285937 0.254871314 0.232054396 0.320069318 0.341176564 0.197063418 0.195827625 0.172403875 0.290361089 0.188827199 0.130281767 0.14640968 0.159557856 0.041883639 0.120215877 0.071884221 0.08381356 0.014026589 0.03778827 0.000533204 0.021240513 0.021466047 0 0 0.035425215 0.002112929 0 0 0.022504129 0 0.041437421 0.114947881 0.032849138 0.001941368 0.076282655 0.023430011 0.012387396 0.554275152 0.452200367 0.535115958 0.333647116 0.279487678 0.361523156 0.30253371 0.255774725 0.294599737 0.252705843 0.232574962 0.241293246 0.223411583 0.2350613 0.130041229 0.180045856 0.161190258 0.073986399 0.153385279 0.166983227 0.060686291 0.189136372 0.104543222 0.1138651 0.154751866 0 0.014801447 0.033916474 0.21073081 0.006974306 0.145243422 0.143629821 0.10324779 0.117251791 0.238379445 0.03319181 0.058632426 0.067916101 0.014322674 0 0.00865243 0.101773708 0.1421364 0 0.076437754 0.051809129 0.13248178 0.117918083 0.292217026 0.163580074 0.05622801 0.094860897 0.066011624 0.041120602 0.118438469 0.005766459 0.124921838 0.184444713 0.197534059 0.149427558 0.090666057 0.268536367 0.219358511 0.274294074 0.234610268 0.183904717 0.124978239 0.08879739 0.258738541 0.19597488 0.177495291 0.12737975 0.132448767 0.131363288 0.061425616 0.038727852 0.056799517 0.055077188 0 0.034505009 0.082320219 0.029482246 0 0.1080545 0 0.034449237 0 0.001941368 0.010927239 0.112195188 0.009256463 0.350228309 0.398549351 0.49177074 0.372952124 0.447681241 0.42634758 0.40702143 0.190055255 0.322062616 0.356680554 0.325777191 0.232954299 0.181695979 0.178692043 0.094535892 0.2521 0.131090816 0.090281862 0.077276578 0.024970479 0.060686291 0.113120908 0.121070803 0 0.173750942 0 0.125578325 0.06095073 0.062395783 0.029935292 0.132991732 0.236668244 0.018670733 0.033289249 0.000607912 0 0.007564029 0.049730347 0.026283569 0.024220664 0.00865243 0 0.007169602 0.147574499 0.024688256 0.085140117 0.097688612 0.016988875 0 0.056311748 0.027889722 0.05549642 0.105446184 0.13768366 0.013084452 0.067599309 0.013091927 0.025929464 0.105289933 0.216132388 0.030784515 0.012391732 0.097184328 0.085858807 0.234610268 0.023424272 0.063832084 0.056546916 0.132062953 0.071338818 0 0 0.113424594 0.142141347 0.066705873 0.108974913 0.02817109 0.022551759 0.068739012 0.02919388 0.082320219 0.068159859 0.067937015 0.1080545 0 0 0.057591844 0.019540781 0 0.00764423 0.028670678 0.271082345 0.33771701 0.348280078 0.379196664 0.412547145 0.383249107 0.449338379 0.434311147 0.435935003 0.399019812 0.287229778 0.259412838 0.152967891 0.148500579 0.109776766 0.227756018 0.093254223 0.182937798 0.147282957 0.104068623 0.027627181 0.007795548 0.04957201 0.058556712 0.044349818 0.1293296 0.119320651 0.073176163 0 0.085173346 0 0 0.040081989 0.033289249 0.017862665 0 0 0.085314349 0.002386975 0.095922988 0 0.062040176 0.086749103 0.068063923 0 0.064108801 0.037566668 0.014060034 0.048990104 0 0.031820528 0 0.04784091 0 0.010387171 0 0 0.161309717 0.010194102 0 0.057662125 0.158392588 0.097184328 0.009791988 0.09381122 0 0 0.034781088 0 0 0 0.140246819 0.050376399 0.031090594 0 0 0.117199258 0 0.061407149 0.008554238 0.012176624 0.0491746 0.041851849 0.1247789 0.083079047 0 0.130495679 0.010308434 0 0 0 0.432817096 0.376023345 0.348280078 0.28042869 0.433494812 0.381152272 0.319029536 0.436191013 0.252223598 0.284028843 0.278771642 0.278771642 0.10614387 0.148500579 0.185735288 0.15297059 0.175338006 0.162029442 0.074512524 0.12812898 0.07549121 0.137106783 0.100591168 0.001925864 0.049659175 0 0 0.073176163 0.010739019 0.076330421 0.096409281 0.02595547 0 0.013994178 0 0.008564852 0.034073957 0.085314349 0.099437144 0.060373726 0.058873531 0.062040176 0 0.142487132 0.084313985 0.0142876 0.008019434 0.136719619 0 0.054053867 0.054386024 0.062114289 0.04784091 0.095224133 0 0.081210713 0.058057429 0.053319291 0.050145352 0 0 0.017669542 0.005761825 0.077727798 0.066970222 0.063662574 0 0 0.08974075 0.005548556 0.023219976 0.076041271 0.142457447 0.028508859 0.016039227 0.072597442 0 0 0 0 0.05977956 0.037039409 0.023151566 0.027429174 0 0.054658828 0.134005067 0.00669316 0 0 0.022123676