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xllcorner	-124.81250
yllcorner	45.50000
cellsize	0.06250
NODATA_value	-9999
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10.40797 10.98098 11.05289 10.51978 9.84740 8.97102 7.88304 6.75026 6.08922 5.28729 4.70942 4.41659 4.02417 4.57215 5.22749 6.33180 7.13436 8.25411 9.80760 10.75697 11.89343 12.99094 13.94612 15.02286 14.85117 14.51507 13.93553 12.90872 12.09850 11.43573 9.95146 9.77918 8.44426 7.62646 6.22271 4.37416 3.07156 2.65018 2.28599 2.09459 2.82910 3.94278 4.59104 5.36922 6.00000 4.79073 2.65979 1.23136 1.03680 0.98528 0.97899 1.07364 1.32999 1.91407 2.76386 3.73281 5.07959 6.61337 7.60814 8.23016 8.85556 9.23842 9.74083 10.07675 11.08389 12.30237 13.95631 13.39117 12.71748 13.47942 14.95544 16.80473 20.38877 26.28205 33.70370 37.75202 42.61430 47.42404 49.73913 52.72727 52.79330 52.80665 52.22930 49.45455 47.84173 44.78261 42.26804 39.39096 38.77737 36.87500 35.66722 35.39823 34.02662 32.62911 31.27544 29.39234 26.79028 25.55710 24.42490 23.29843 22.76248 22.60982 23.51220 24.35233 24.39825 22.61905 22.09716 20.45455 18.63303 17.40176 17.46795 16.55738 16.17647 15.10097 14.78814 14.97642 15.03067 15.53468 16.00985 16.80743 16.79726 16.10059 15.64189 15.44715 14.72727 13.68515 13.48053 
10.22599 11.43005 11.90208 11.29565 10.87928 9.76703 8.39670 6.95910 5.74778 4.30257 3.04104 2.24621 1.07256 1.06164 1.37276 1.67054 2.86533 4.13314 4.85437 6.14849 7.24269 8.46682 9.79203 11.40460 11.74312 12.83871 12.87726 11.51003 11.01604 10.35941 9.66184 9.16162 8.48980 7.69551 6.10329 5.26502 4.04509 3.31064 3.17221 3.00736 3.00277 3.24401 3.44331 4.06872 4.53699 3.53261 1.90960 0.61086 0.29387 0.24308 0.33565 1.09502 1.95676 3.03263 4.26078 5.73300 7.04865 8.52436 9.69529 9.93214 10.26908 10.46872 11.14873 11.60000 12.25076 13.00736 13.89745 14.29170 14.38746 15.37251 16.45823 17.98732 20.62212 25.50251 31.35674 35.17915 40.99026 44.98141 47.38676 53.46154 53.31325 54.71910 56.62791 53.06818 48.80716 45.96154 45.71429 43.24853 41.85393 40.12132 37.70492 36.28049 35.15152 34.60076 32.35294 30.88456 28.54077 27.83826 25.70579 24.22907 25.07163 24.88038 25.45165 25.35832 24.54751 23.34934 21.97232 20.73579 19.21599 18.23662 18.09476 18.43750 18.28753 16.44737 15.83113 15.80882 15.43062 16.84211 16.23431 16.86192 16.96658 16.15735 15.72306 14.92693 13.60590 13.28600 11.85087 
9.07277 10.19392 10.95424 10.82531 10.97053 10.25622 9.29455 8.14987 6.74877 5.11190 3.76712 2.88381 2.16017 1.73669 1.52344 1.57715 1.68786 1.87727 1.95620 2.49211 3.05181 3.68691 5.14851 6.51330 7.50401 9.60035 10.96654 11.26543 10.41885 9.40083 9.81675 9.33277 8.11138 6.53622 6.03654 4.93562 4.64646 4.38095 4.43220 3.54882 3.14465 2.28044 1.94175 2.57208 3.00261 2.48035 1.32785 0.51029 0.18279 0.04171 0.15932 1.35813 2.52316 3.84740 5.46728 6.91247 8.44352 9.93252 11.09013 11.31141 11.50360 11.80631 12.27946 12.62484 13.06447 13.46779 13.79822 14.74551 16.06218 17.27006 17.76442 18.94654 21.98276 26.28311 31.14603 34.36842 39.87441 45.38043 48.40989 53.32661 55.86957 56.25000 55.35714 53.00000 50.32895 48.70690 47.26027 44.69027 44.79393 42.23602 41.28257 38.84298 37.03340 33.90909 32.11180 29.84055 28.77970 29.87132 27.70979 27.48092 27.18631 27.70013 27.08333 28.51613 26.68790 24.84472 22.43047 21.48891 20.03012 19.79269 20.41801 20.66667 20.61503 19.55720 19.15493 18.37189 17.46824 17.02586 16.93989 17.43772 16.09499 14.73988 13.34623 12.62263 12.11538 11.34729 10.50532 
8.35898 9.52339 10.18245 10.53386 10.67525 10.14816 9.41929 8.97943 7.57177 6.42534 5.35283 4.82883 4.18524 3.96678 4.00971 4.22398 4.33820 4.30701 4.27245 3.97871 3.56139 3.50573 3.50877 3.73247 4.26678 4.90605 6.17496 7.31774 8.94919 10.01789 10.23973 9.95851 9.61145 8.79733 7.68673 6.44854 5.71688 4.89631 4.26997 4.01845 2.91480 2.34308 1.84304 2.80846 3.55631 3.75061 3.37088 3.20662 2.30953 1.56493 1.14553 2.27036 3.20456 4.41128 6.09339 7.75764 9.18133 10.62076 11.92174 12.34209 12.81019 12.95288 12.88023 13.07692 13.16888 13.30969 13.49983 14.97489 16.30037 18.00554 20.35139 21.64179 25.53588 29.41576 34.25926 37.88820 43.75000 46.37584 49.74916 51.12570 51.81087 53.02691 53.18396 51.97368 49.35065 47.77070 45.60811 45.71429 43.58974 42.90123 40.17857 38.36207 36.25000 34.63855 31.73913 30.24390 30.52550 29.37500 28.31633 28.84615 28.42348 29.18455 28.99576 29.61373 28.06407 25.36716 23.93822 23.09619 21.19772 21.37643 21.51685 22.55466 22.40566 21.20344 21.34503 20.07909 18.61493 19.46023 17.50484 17.20480 15.77093 14.02589 12.34458 11.57768 11.13716 10.34173 10.22514 
8.55188 9.49711 10.16425 9.90246 9.60019 9.39019 9.16588 9.02241 8.43509 7.98170 7.40081 6.89617 6.40355 6.19215 6.37747 6.55840 6.62851 6.61371 6.33155 5.77764 4.80925 4.13032 3.68801 2.90843 3.19670 3.45229 3.88579 5.95985 8.54271 10.21611 10.55394 11.28142 10.69869 9.93724 8.45511 7.79503 6.75676 5.51364 4.45063 3.62416 2.64804 1.80458 1.52999 2.72817 3.92568 4.38389 4.58511 4.84632 3.71273 2.58711 2.00768 2.90065 3.66448 4.73759 6.18250 7.68621 8.92680 10.32842 11.34758 11.99552 12.73038 13.29178 13.26957 13.34120 13.66738 13.65031 14.38809 15.63574 17.30851 19.51567 22.33232 25.66138 29.64824 34.45946 40.10417 42.09622 46.49805 48.06313 50.79086 50.00000 51.83673 51.01810 53.22196 49.66592 46.68142 46.73203 46.48712 43.93258 42.76316 42.38901 41.61491 40.02294 36.63697 34.19355 32.16374 30.65421 29.98221 29.58763 29.28994 29.40000 29.29688 29.59845 29.92481 30.34639 28.66569 26.25483 26.00000 24.63606 22.78549 22.91232 22.74194 23.06855 23.08534 21.67319 21.21063 20.65217 20.58824 19.86425 18.79506 18.56725 16.91763 14.07427 12.46283 11.59457 11.46927 11.02904 11.20130 
8.80799 9.35907 9.75361 9.58576 9.30103 9.21053 9.16588 9.11697 8.81313 8.48998 8.32036 7.82248 7.45713 7.28422 7.39826 7.38960 8.00133 8.88055 9.80839 9.56023 9.04787 8.76736 8.20134 7.48379 7.30103 6.85269 6.81408 8.17844 9.95475 11.22748 12.18109 13.25673 11.92444 9.96050 8.06639 7.00590 5.77485 4.60808 3.93586 3.35196 2.44541 1.80369 1.11502 2.10689 2.89649 3.39225 3.93337 3.99002 3.32757 2.90386 2.61898 3.38961 4.10152 4.83520 5.66887 6.44699 7.29852 8.36352 9.26800 10.14480 11.14180 12.08714 12.84691 14.10256 14.61142 15.68915 16.64355 18.08370 20.14019 22.30653 26.20791 30.23705 34.75222 40.88542 45.97107 48.58934 50.78534 53.13688 52.14724 51.91489 50.00000 50.00000 47.82082 48.91827 46.77033 47.85714 44.84029 44.28571 44.05594 42.68293 40.40284 39.24303 37.15953 33.95872 32.16216 30.89005 28.82353 29.28453 29.33549 29.54545 29.15335 29.42584 30.15038 29.18552 27.05882 26.00000 24.06166 23.32936 23.13953 22.54005 22.59615 22.39709 22.24909 20.44728 20.47872 20.74303 20.03074 20.60000 20.85714 19.38776 17.23647 14.82932 13.46251 12.66867 11.69903 11.83694 11.52648 
9.02454 9.04112 9.02879 9.31322 9.50498 9.52172 9.24441 9.01694 8.94119 8.79709 8.73448 8.51608 8.28689 8.19646 8.10987 8.04046 8.95285 10.28777 11.63270 11.68654 11.80942 11.61652 11.24679 10.64150 10.59163 10.33493 10.18163 11.03485 11.97435 12.86827 13.04619 13.57247 12.38170 10.67735 8.52459 7.30390 6.07499 4.87203 4.11680 3.87259 3.17358 2.44055 1.92006 2.61506 3.18004 3.60320 3.51803 3.24777 2.91648 2.47145 2.28102 3.23627 4.05955 4.81283 5.36457 5.93408 6.53128 7.17831 7.67463 8.22933 9.13242 10.15625 11.53475 13.04348 14.95009 16.45823 18.83343 21.52318 23.42212 26.73697 30.97475 35.85826 40.58999 47.23926 54.05405 54.10584 55.41082 56.03814 52.62009 49.67391 49.66960 48.61111 47.54098 45.85253 46.83841 47.19626 45.64165 43.98585 43.13501 40.98558 41.90141 38.82353 36.72316 35.13761 33.92857 32.06239 30.23649 29.36242 30.62914 29.61409 30.25000 29.86577 28.77358 28.29889 26.76056 25.37313 24.63235 23.10757 22.58486 22.49675 21.96453 20.98093 21.50611 19.77612 20.29520 20.10022 20.63404 20.12917 20.88999 20.70588 18.82110 16.68937 15.28545 14.50777 13.32599 12.80992 13.14433 
9.32469 8.63208 8.07529 8.89768 9.49975 9.80895 9.69303 9.53283 9.06205 8.67834 8.26331 8.32115 8.49445 8.51096 8.56613 8.66894 9.45659 10.73877 11.90966 12.33509 12.91847 13.29019 13.76086 13.92899 14.32020 15.00000 15.29313 15.22744 15.21859 14.78717 14.14223 13.12649 12.10021 10.70111 9.42513 8.23681 6.77632 6.02542 5.55556 4.93506 4.88907 4.32633 4.03981 4.48130 4.80545 4.36952 3.52846 2.94782 2.07414 1.64271 1.26598 2.42929 3.61338 4.62484 5.33634 6.12539 6.12686 6.02687 5.98579 6.39445 6.68020 7.65106 9.35115 11.67119 14.22594 17.72247 22.12806 25.41604 29.13472 32.92035 38.04196 43.44880 48.21124 51.39147 57.77538 57.57576 57.17391 54.28571 53.85514 50.00000 50.33937 48.56115 49.27536 48.92086 47.83133 46.05263 47.45763 47.84689 45.15012 43.41801 43.56659 40.37611 38.82979 37.86307 35.78947 32.76210 32.70378 30.14706 29.85481 30.23064 29.59016 28.57143 26.85185 26.86916 25.88872 24.14562 23.60704 22.61236 22.87900 21.40884 20.53571 19.77041 19.80892 19.09091 18.58354 18.98570 19.80392 19.57638 20.28136 20.84399 19.48571 17.95559 17.28612 15.66148 15.04944 14.51220 14.21508 
9.63402 8.37525 6.96176 8.16885 9.44918 10.14056 9.96169 10.06422 9.42974 8.54600 7.79763 8.24760 8.54991 8.75494 8.98058 9.19741 9.93375 10.80253 11.65854 12.35704 13.02039 13.90506 14.53025 15.29474 16.11149 16.57431 17.02867 16.67482 16.06283 15.18171 14.16667 13.12775 12.14815 11.32723 10.18750 9.11447 8.37199 7.32593 7.44871 7.30069 6.80596 6.23441 5.37337 5.61717 5.88235 5.58579 5.23367 4.85011 3.63580 2.63902 1.96932 2.83361 3.54618 4.24081 4.77568 5.52194 5.91654 6.15826 6.38562 6.76454 7.18903 8.05030 9.85735 12.12642 15.41353 19.98399 27.01950 30.60436 35.59562 40.38375 45.55336 49.84260 53.10345 55.76923 59.77528 56.99301 55.88235 54.45545 51.81598 52.51799 49.64789 49.63504 49.63592 49.64371 48.21853 49.64200 48.86364 48.23944 46.57534 47.53521 43.91892 43.01552 40.10638 38.29569 36.91684 35.21127 34.28854 31.96721 31.75313 29.88691 30.01605 28.91374 27.61194 26.09023 25.37313 25.36023 24.49568 22.59615 21.50611 20.81081 19.70075 19.21642 18.05729 18.30732 18.07739 18.47258 19.27711 20.84450 20.26022 21.13276 20.92308 19.68985 19.13310 17.77457 16.62125 15.31333 15.47515 
9.09722 7.78101 6.65078 7.25610 7.93031 8.45582 8.91182 9.33069 9.18901 8.43328 7.78814 7.99394 8.31535 8.57126 9.01332 9.39703 9.88924 10.33347 10.73372 11.57224 12.39264 13.27597 14.37278 15.54485 16.32653 16.63223 17.08158 16.55622 15.74484 14.86178 14.36135 13.45708 12.59723 11.96859 11.25000 10.34063 9.45083 9.00131 9.16084 9.85721 9.01240 7.69231 6.38000 6.65034 7.02875 7.21969 7.23906 7.48299 5.72366 4.05790 3.07216 3.37815 3.66612 4.04501 4.39642 4.96913 5.72276 6.51997 7.14630 7.58836 8.13341 9.01899 10.69252 12.84494 16.77406 22.46985 31.46307 36.11111 42.88064 49.50522 52.67857 57.00758 58.33333 60.28761 57.14286 54.89510 53.94737 52.89157 50.71429 48.94118 50.00000 51.48883 50.73892 53.27670 51.43885 51.76471 50.74627 50.36675 50.00000 50.39267 46.93878 44.11765 42.89100 40.36697 37.93814 36.80000 34.65909 34.03670 30.42328 32.26351 30.29557 29.90196 27.85714 27.85714 27.21519 26.37795 24.29907 23.40909 21.60954 20.66667 20.76613 21.00671 18.89495 18.31276 18.42105 19.52818 18.84154 19.84021 19.89247 20.14134 20.16760 18.90625 18.51045 17.62473 16.49511 16.21212 16.09023 
8.24669 7.23112 6.23333 6.24868 6.45547 6.70900 7.76627 8.72438 8.79592 8.33225 7.80280 7.88779 8.06118 8.31901 8.73294 9.19340 9.59458 9.78737 10.18758 10.93446 11.69987 12.70412 13.82170 15.09503 15.79817 16.25641 16.58051 16.50059 16.46853 15.94769 15.20772 14.34392 13.10185 11.85671 10.06844 9.22608 8.26638 7.72787 8.97436 9.65370 8.96615 7.75558 6.37073 6.43807 6.15179 6.28099 6.88776 7.37620 6.59390 5.97846 5.44586 5.65230 5.70919 5.90283 6.13628 6.38521 6.90785 7.42099 8.03895 8.76407 9.18149 10.14276 11.34937 13.20179 16.37803 22.11014 29.82456 35.77982 43.69442 52.56024 55.54951 59.86842 61.34146 61.30346 59.75610 55.79710 56.58537 54.76773 53.94737 54.73301 55.92593 54.71204 55.13158 54.33071 53.87597 54.18782 53.29670 53.25203 53.22581 49.63415 47.84689 46.09005 43.49315 43.95973 41.10169 38.08554 35.05859 34.18079 32.57713 31.85690 30.87748 30.00000 29.14692 28.83721 28.25733 26.44231 26.24434 24.85423 23.02158 21.95467 21.38284 20.45455 19.11197 18.32902 19.88189 18.13187 18.28358 18.05729 18.68687 18.86161 18.94344 18.42900 17.94872 17.28849 16.45032 16.45129 16.36002 
6.98290 5.94626 5.10899 5.21173 5.52060 5.87555 7.08268 8.01812 8.49249 8.20023 8.08148 8.04432 7.98163 8.00374 8.32496 8.54088 8.80269 9.13457 9.48319 10.26253 11.15000 11.91710 13.06550 14.35354 15.12415 15.55709 16.08868 16.46580 17.09422 17.54508 16.41070 15.50451 13.78243 11.74976 9.30663 8.25901 7.38162 6.91023 7.92102 8.89093 9.01202 7.65578 6.87229 6.22667 5.95101 5.92992 6.74379 7.01983 7.44363 7.64615 7.93733 7.90378 7.90641 7.94208 7.94458 7.96088 8.26628 8.72839 9.01750 9.76220 10.39847 11.14007 12.10687 13.16705 16.35644 20.69662 26.83089 32.25256 41.23149 50.60852 55.67661 63.48993 63.15789 65.03341 64.02174 60.27919 59.72569 59.02256 58.91089 58.73418 59.32642 58.26446 58.70166 58.67769 58.44504 57.89474 56.93642 55.05618 53.75000 52.69231 50.75188 46.66667 44.96403 44.73068 41.37168 40.64516 37.42331 36.12205 33.86792 33.76147 29.96485 30.92784 30.94059 29.36000 28.95161 26.57729 25.15480 24.35115 22.56372 21.63959 21.09375 20.03841 20.36585 19.59707 19.78022 19.56258 18.46902 19.15545 18.74251 18.25208 18.84368 19.07216 18.66337 18.38504 17.63158 17.57469 17.66194 
5.88668 5.01074 4.48733 4.63087 4.96469 5.62859 6.55420 7.41175 7.87814 7.77912 7.82782 7.82381 7.77229 7.79888 7.90930 7.99387 8.07582 8.36156 8.72954 9.47849 10.40422 11.26142 12.37300 13.69179 14.77257 15.62593 16.75872 17.50292 18.15882 18.52128 17.23172 15.42839 13.34227 11.32507 8.97875 8.51986 7.56853 7.07155 7.97327 9.07853 9.49535 8.78136 8.76562 7.60524 6.66667 6.13859 6.66796 7.01944 7.72970 8.56153 9.35484 9.78552 10.19025 10.50000 10.54556 10.47226 10.63856 10.90257 11.08179 11.08507 11.33584 11.81083 12.61237 13.59662 15.22124 17.68080 21.71429 25.80060 32.89157 40.05181 47.28916 57.25191 61.35135 63.77171 67.55725 66.83673 66.70792 67.45050 66.18076 63.51744 63.08140 62.46291 63.02395 66.39871 62.65625 61.57407 61.80758 58.11966 59.29577 54.23077 53.00752 48.87781 46.70732 44.01408 41.35945 42.22973 39.52772 36.14931 35.74257 34.04851 32.91139 30.50260 29.04600 28.85572 27.48777 27.71565 25.66303 24.54031 23.01349 21.72312 21.28072 20.41985 20.14388 20.32181 19.64497 19.09197 19.09722 18.85813 18.13559 18.35017 18.85920 19.25000 19.56098 19.29348 19.65548 19.38503 19.28287 
5.07901 4.58616 4.26009 4.34634 5.15838 5.92357 6.37726 6.99301 7.08407 7.00802 7.04079 7.03081 7.40418 7.73504 7.50398 7.20894 7.24484 7.49455 7.84772 8.56068 9.59311 10.61080 11.71689 12.93128 14.30277 15.72715 17.50048 18.38046 19.09673 19.57436 17.61208 15.36617 13.65462 11.50485 9.46356 8.44202 7.98384 7.60608 8.11102 8.95916 9.62532 9.36162 9.58318 8.57044 7.42081 6.95029 7.16311 7.14659 8.20300 9.39732 10.39691 11.09497 11.82899 12.21719 12.38892 12.51496 12.71991 12.94719 13.47490 13.36443 13.19044 13.44681 14.06105 15.07328 15.99167 17.51788 19.00978 21.61937 25.82988 30.65756 37.48290 47.43590 53.62319 61.87050 69.84127 69.40701 71.08108 71.54255 69.96904 73.07692 70.64220 68.92308 67.48466 70.79208 66.61238 65.14658 63.22188 60.81081 60.46512 54.78723 52.69231 47.34177 45.19704 43.52518 43.91408 41.05505 40.50633 38.65031 35.61644 34.39306 33.67730 32.16216 30.81705 27.98635 26.38408 26.49063 26.50000 25.07225 22.72727 23.41001 21.62698 21.05606 20.88235 19.93048 19.62243 19.25255 18.69420 18.76321 18.48739 19.08996 19.07216 19.38776 19.70000 20.16129 20.29049 19.81058 19.83373 
4.77543 4.68632 4.34783 4.80287 5.31250 5.99910 6.58547 7.19178 7.22987 6.76908 6.19828 6.05887 6.32754 6.66975 6.66667 6.77028 6.86421 7.38733 7.73508 8.54851 9.53556 10.47066 11.69464 12.97617 14.43518 16.00613 17.72074 18.20542 18.86792 19.02801 17.17033 15.71565 13.82732 12.39362 10.74972 9.99240 9.31174 8.52794 8.64767 9.03003 9.17266 9.11708 9.09091 8.66771 8.23789 8.12620 8.12625 8.14978 8.88286 10.15743 11.12154 11.87555 12.47303 13.15061 13.55559 14.03377 14.59759 15.36629 16.13111 16.49947 17.14403 17.65040 17.90073 18.61657 18.62700 18.44136 18.60269 19.46329 20.77244 23.33867 29.17115 36.59658 42.54967 53.93145 66.26506 72.91066 78.81098 81.01852 77.27273 75.92068 75.14970 71.36628 69.71429 70.68966 69.72318 68.68512 66.77632 63.68078 60.20710 57.75862 50.40541 48.38710 44.93506 44.30380 43.34204 42.04545 38.86598 38.50806 36.52344 34.35039 32.35294 30.69853 29.21053 28.53492 27.27273 25.11521 26.13636 24.31507 23.60000 23.69110 22.42063 22.05692 20.65614 20.10740 19.61358 19.46309 18.12705 18.18720 18.97767 19.02340 19.90881 19.87952 19.94077 20.69272 20.54974 20.51084 20.02306 
4.65300 4.91129 5.29826 5.54190 5.86759 5.87416 6.60480 7.51126 7.90434 6.58574 5.48341 5.00000 5.14307 5.37854 5.68973 5.96543 6.36947 7.09193 7.75926 8.52174 9.46343 10.37771 11.42742 12.73808 13.96052 15.29424 16.97837 17.69684 18.07651 18.31539 17.04253 15.41931 14.28816 13.04267 11.80876 10.65380 9.75914 9.35115 8.78653 8.70098 8.65191 8.52427 8.42561 8.12257 7.89631 8.02503 8.24266 8.64911 9.58647 10.74945 11.96185 12.44715 13.23134 13.81273 14.32584 14.86037 15.66524 16.91542 18.14194 19.30026 20.59134 21.91011 22.32773 22.75072 22.79194 22.38854 22.07237 22.57200 22.23757 24.18033 28.55100 33.11475 40.40470 50.00000 62.39407 69.60000 79.72561 85.92233 81.77570 79.72561 76.10619 78.88199 73.11178 72.41993 70.81851 69.21708 65.10067 62.29508 59.06344 54.29799 49.18478 47.52747 44.89529 44.30380 43.00518 41.72932 39.19753 37.34940 36.52344 33.16929 32.40385 30.13060 27.68817 27.22513 27.26524 25.71429 25.88872 25.42017 25.20492 24.66755 24.46381 22.69181 22.05882 20.35503 19.75524 18.75000 18.43003 18.24561 18.20276 18.72852 19.45043 19.74386 20.22059 21.28614 21.58203 21.24233 21.27422 
4.99197 5.48412 5.78012 5.74698 5.74192 5.57279 6.09091 6.72332 7.09046 6.16607 5.22036 4.64138 4.32907 4.03412 4.33700 4.97990 5.53998 6.37623 7.41304 8.34682 9.48148 10.48116 11.07241 11.51982 12.08085 13.11586 14.26274 15.21797 16.39415 17.58631 16.58291 15.64129 14.64865 13.37736 12.35271 11.07784 10.23450 9.57831 8.60821 8.16203 7.56735 7.68386 7.14286 7.03667 6.79513 7.04114 8.00941 8.89306 9.99841 11.46462 12.89199 13.41229 14.01183 14.63415 15.23408 15.51553 16.48597 18.01777 19.69053 21.68402 24.89827 27.52554 28.40640 30.40053 30.75133 30.82627 30.02745 29.03757 27.57353 27.58303 29.88588 32.97546 38.36329 46.51972 55.34950 65.32847 78.29341 85.50000 86.13139 83.33333 82.81250 81.48855 74.90975 71.42857 70.35714 68.02120 61.97917 61.26280 57.45342 55.76923 51.26761 48.40000 47.31458 44.84029 43.06569 42.27166 40.50218 37.68421 35.94705 33.26923 31.21495 28.84615 28.49558 27.12305 25.95041 23.67150 24.68454 24.22222 24.60203 24.43409 22.95396 23.15394 22.10191 21.38404 19.20768 18.33910 17.64045 18.83803 18.68512 18.52908 20.06689 19.93704 20.99276 21.52642 21.34030 21.61863 21.14569 
5.69482 5.92721 6.16294 5.93460 5.36072 4.94868 5.18701 5.81474 6.43791 5.67707 5.24725 4.73113 4.07191 3.46495 3.78897 4.31655 4.86534 6.19617 7.28234 8.39161 9.62617 10.83898 10.75708 10.45870 10.39326 11.02418 11.52672 12.64274 13.61795 14.74954 14.81660 14.72446 14.15542 13.50421 12.50000 11.23188 10.18334 9.09639 8.10247 7.50853 6.53061 5.42056 4.95674 4.17485 3.53535 3.78424 5.45925 6.82255 8.47094 10.16011 12.24163 13.17342 14.09161 15.04854 15.61667 16.51550 17.48927 18.81455 20.65217 22.84660 25.65350 27.95753 30.19161 32.46978 33.93183 36.00823 37.34177 37.28070 35.68465 36.23288 38.59316 40.49708 45.03311 51.53959 57.98969 67.46032 77.88462 84.28571 89.24731 89.03346 85.71429 81.25000 78.48837 75.09728 68.95911 65.32847 61.13074 57.24138 55.66038 52.66272 50.85470 49.20000 47.27979 44.43069 44.07407 41.11374 39.21569 38.29114 35.61224 32.18391 29.92565 28.80734 27.43363 25.12953 24.91639 23.44262 23.99679 22.80967 24.44444 23.57724 23.29843 23.05732 21.89922 20.37500 19.74638 19.00115 17.40576 16.70481 17.77278 18.03552 19.37773 20.06508 20.95333 21.46341 22.05323 21.15385 21.64634 
5.31034 5.18689 5.13126 4.81318 4.33790 3.87760 4.28983 4.82097 5.65483 5.77852 6.05412 6.10092 5.38406 4.84748 4.78306 5.05415 5.34787 6.36773 7.54912 8.76803 9.96612 11.21795 10.85914 9.86806 9.08061 9.24875 9.17834 9.76250 10.71076 11.52904 12.15139 13.13958 13.82321 13.08411 12.69681 11.43737 9.74743 8.38633 7.28700 6.38496 5.14733 3.79978 2.54297 1.65328 1.09152 1.30413 3.32926 5.03212 6.74975 8.82220 11.20944 12.40209 13.96287 15.23292 16.42487 17.43743 18.58343 19.98547 21.62162 23.61151 26.05163 28.36134 30.30547 33.33333 36.56271 41.09149 45.15260 48.22134 50.59880 51.76471 51.72634 51.67079 54.56349 58.15486 63.68613 70.08197 78.45659 84.65704 86.41304 87.35632 84.45946 80.92105 75.94937 70.91633 67.37452 64.60674 58.50000 56.81818 54.60123 52.63158 49.57983 47.94521 45.34884 45.39642 41.93154 41.19718 37.63920 36.74569 32.44353 31.02410 28.98833 27.86885 26.57092 26.20321 24.47368 23.48354 22.75042 23.01829 21.83308 22.25313 21.86235 22.31675 21.76697 20.74074 20.21277 18.45794 16.79775 17.12555 17.39829 17.65328 18.20567 19.49948 19.82759 19.88690 21.48876 20.82380 20.54545 
4.96236 4.69220 4.02837 3.77358 3.53846 3.27560 3.43540 4.17574 4.74564 5.68481 6.33456 6.74811 6.56382 6.22579 6.23284 6.23644 6.31598 7.16928 8.06806 9.00488 10.02623 11.02634 10.67930 10.14862 9.60347 9.20402 8.88969 9.05277 9.78158 10.66946 11.40029 12.32179 12.62032 12.02673 11.33721 10.75269 10.28422 9.24658 8.89230 8.46591 7.42430 5.71070 4.24625 3.33817 2.73717 2.72923 4.89591 6.51653 7.81707 9.11877 10.46871 11.52295 12.64080 14.06904 15.32488 16.78967 18.31776 19.88717 21.98748 24.00691 26.08352 28.52665 31.05263 34.19944 38.87712 44.22222 51.02564 54.39189 57.19424 59.97537 60.19108 58.75000 62.39130 67.66595 69.55056 75.30120 84.30034 84.36364 86.82310 85.82090 81.64557 75.90361 73.12253 66.26506 64.76378 61.49425 57.40132 55.28846 53.20122 53.09735 48.32869 47.55435 45.74742 43.31683 42.40506 38.40580 38.67925 33.78378 34.14097 31.28773 29.15851 27.82847 27.48644 26.52878 24.82332 23.85563 22.11704 21.86047 22.39264 20.89872 22.26891 20.88353 20.62663 19.43750 18.83605 18.34701 17.94151 17.15686 16.45570 17.65625 18.05556 18.22811 18.81468 19.55307 20.35519 20.11407 20.06603 
4.36242 4.06817 3.61283 2.90698 3.08692 3.19968 3.41736 3.54790 4.05204 5.04932 5.95688 6.85757 7.24014 7.47546 7.68364 7.74291 7.82757 8.27112 8.66190 9.09671 9.77918 10.56616 10.76358 10.84043 10.68613 9.85953 8.97504 9.00958 9.71292 10.84559 11.19140 11.64384 11.82944 11.04317 9.98493 9.67175 9.88501 9.91972 9.70149 9.56767 8.91515 7.29828 5.94873 4.84293 4.07258 4.22122 6.43741 8.12023 9.37920 10.30034 11.73265 12.29344 13.10327 14.09836 14.63387 15.74408 17.13873 18.99554 21.25382 23.26945 26.32594 29.11119 32.78906 36.67494 41.75170 48.56230 54.20561 60.41131 66.42012 69.21875 68.69806 69.16667 69.83471 73.62205 74.80000 78.66894 83.81818 84.09091 85.82090 86.36364 81.81818 73.45679 70.31873 67.14286 62.54980 59.88372 56.04027 57.37705 54.23197 50.44776 48.30986 47.10744 45.68063 41.13300 40.90909 38.37772 34.61538 34.38914 31.77874 31.16740 28.89126 28.31325 26.76471 26.51663 24.11032 22.63158 22.99546 21.07623 21.28130 21.17052 20.89235 19.95940 20.20134 19.19643 19.54315 19.38776 19.07216 17.78634 17.89137 17.74530 17.71370 17.83537 18.50586 19.10058 19.60038 20.21183 19.89708 
4.34599 4.06639 3.48900 3.19565 3.50493 3.93001 4.17765 4.83746 5.30705 6.55816 7.78078 8.66041 8.57779 8.45439 8.41300 8.45374 8.59818 8.49130 8.64139 8.43874 8.60574 8.88742 9.59077 10.55646 11.31316 11.80049 12.40866 12.97364 13.48333 14.18581 13.56629 13.26633 12.08564 10.50576 8.48009 7.72889 7.62032 7.64951 7.93942 7.64961 7.66744 7.67544 7.51819 7.13844 6.85403 7.01176 9.10389 10.60775 11.90575 13.35750 15.13118 15.33452 15.40306 15.23469 15.04107 14.53093 15.31027 16.83325 19.23408 22.35023 26.97729 31.26722 36.06357 42.80920 47.54902 53.39674 59.66736 63.87900 72.42424 73.34755 73.20917 72.54335 73.90746 76.88312 80.00000 81.88153 85.68773 86.50190 90.15748 86.91406 81.29921 77.48092 71.97802 67.24138 60.94891 60.17857 56.02007 53.37621 52.82132 49.10448 47.87535 43.91892 41.96429 40.77540 37.87879 36.13139 33.66337 33.85167 33.52804 30.00000 28.93082 28.21229 26.05505 25.00000 24.15459 22.92332 23.16294 22.07207 21.51335 20.65217 20.55477 19.95913 20.32520 20.15605 20.58065 20.21924 19.93048 19.17127 18.85593 17.33746 16.90283 17.09870 18.10345 18.51145 19.91445 19.57484 20.55215 
4.72503 4.63597 4.53570 4.34389 4.64910 4.96949 5.72367 6.82517 7.96047 9.26308 10.55090 11.33812 10.20285 9.35803 8.90766 8.91539 9.08308 8.53323 8.18407 7.76728 7.55636 7.27633 8.45292 10.11536 12.11679 13.86579 15.56522 16.53981 16.59878 16.88980 15.96333 14.31631 12.72307 10.40873 8.29573 6.99965 6.51751 5.67642 6.09901 6.38432 6.63244 7.65360 8.69403 8.59635 8.58488 8.81612 10.38385 11.52305 12.59283 13.84762 15.20755 15.17150 14.63512 14.28735 13.75415 12.92950 13.22837 14.71731 16.77512 20.18462 25.03799 31.30272 37.65009 47.14889 54.01460 60.28226 66.55172 72.64706 75.59395 77.89116 76.36364 76.38889 77.76243 78.33333 81.17978 79.56204 86.62791 87.64940 86.60000 87.34694 83.81148 76.26459 71.99248 66.79537 62.82528 59.67742 56.50000 53.87097 51.40187 48.23009 46.20787 41.55496 40.05102 39.22872 36.36364 35.10896 33.25062 34.78261 32.20930 31.16883 31.17021 29.01119 26.05505 25.68306 25.04039 23.36000 22.77070 22.38024 20.35139 20.43796 19.36170 19.75138 19.95995 21.00515 22.09738 22.05189 21.47651 21.17318 19.71459 18.23529 17.36402 17.41803 17.81437 17.94235 18.99110 18.99696 19.81928 
5.50622 5.80240 5.97403 5.91245 6.67039 6.84426 7.53883 8.59746 9.79703 10.96958 12.42149 13.29017 11.91180 10.91917 10.01914 9.26693 8.49223 8.19551 8.08948 7.87991 7.74763 7.69817 8.61551 10.28247 12.08101 13.79014 15.41579 16.60049 17.43719 18.14827 17.16590 15.86671 14.29769 11.64104 8.90288 7.32419 6.26099 5.32247 5.71940 5.60839 6.27446 7.51335 8.82498 9.43060 9.70374 9.94612 10.82685 11.77165 12.32351 12.85060 13.39741 13.02370 12.42564 11.95335 11.71548 11.23418 11.51255 12.74735 14.39957 17.46988 22.31623 29.06040 36.79884 49.43750 58.60294 67.95580 77.94433 79.22535 82.74112 80.62016 80.27950 76.22699 75.13736 71.95122 75.55866 77.06767 80.00000 84.56790 85.93156 85.19231 80.58824 80.91603 73.20144 68.75000 64.11150 61.16505 56.44172 54.43787 50.00000 47.47191 44.41489 41.44022 39.50777 37.76316 35.22727 36.39706 35.58352 32.27571 31.48936 30.33827 29.27835 29.08922 28.49265 26.90217 25.55178 26.31579 25.03817 23.07122 23.02632 21.04895 19.71351 20.68273 21.31474 21.11682 22.98489 23.59281 22.58797 21.61215 21.46018 19.42675 18.70504 18.62643 18.24597 18.50746 19.13947 18.77289 19.16313 
7.02070 7.49258 7.77680 8.19601 8.65874 9.19270 9.36401 10.36977 11.37510 12.49040 13.94583 15.06515 13.39986 12.18149 10.80207 9.28984 7.72182 7.40380 7.49022 7.48663 7.70606 7.69950 8.79447 10.31621 12.19236 13.83889 15.79774 17.16634 18.12896 19.19831 18.37012 17.47114 15.97268 13.61162 11.68409 9.69551 8.07860 6.73298 6.66537 6.60830 6.96632 8.41889 9.49280 10.38853 11.01987 11.39074 11.97434 12.33610 12.71474 12.86140 13.13826 12.32811 11.50202 10.72415 10.55465 10.33862 10.72908 11.63773 13.26175 16.65056 21.84015 29.46357 38.29114 52.71588 62.22962 72.68908 86.37500 88.19018 89.60396 86.75497 80.19169 76.33229 74.93188 72.22222 68.40731 72.18310 71.81818 75.96154 80.10949 82.06107 77.86561 80.11811 76.90840 75.09728 69.70803 62.34177 59.45946 53.08824 52.20588 48.30508 44.80000 39.80978 39.31398 39.02439 37.46736 36.12500 34.02778 33.22148 33.36957 31.98690 30.85106 30.74713 27.92453 27.57009 26.71958 27.55282 24.41860 24.92401 23.41211 22.59207 20.95436 20.85598 21.22449 22.28916 21.88729 23.28244 22.82609 22.68041 22.77174 20.30201 19.64668 19.31818 19.48608 18.93305 18.78252 18.77283 18.48463 
8.23496 8.68391 8.67003 9.13621 9.78585 10.40064 10.93750 11.52560 12.14704 12.72211 13.39645 14.06143 12.69824 11.47468 10.20931 8.19985 6.30598 6.07240 6.26092 6.52260 7.24836 7.77862 8.77493 10.04983 12.02759 13.99116 16.11094 18.02799 18.96371 19.90546 19.74705 19.77837 19.37898 17.22142 15.17360 13.18547 10.81780 8.81547 8.48214 7.96092 8.16777 9.37558 10.54740 11.54843 12.36445 13.15469 13.33270 13.52490 13.54537 13.45881 13.33573 12.07416 10.68747 9.80529 9.92050 9.43709 10.23343 11.29944 12.97798 16.08947 21.83447 29.64884 38.49840 56.68103 67.50871 78.92377 93.37838 94.50000 96.44128 95.00000 85.15625 75.95308 72.59615 68.46847 65.48673 66.86391 65.95745 67.47573 75.00000 75.42373 78.34646 79.76190 81.54762 76.08696 74.14384 68.62416 62.11180 56.08696 52.61628 48.77049 46.85039 40.93407 40.75067 37.98343 39.48787 38.37209 36.84834 36.05442 34.37500 33.06452 30.51181 30.67308 28.77629 27.47148 26.07527 25.35714 25.04202 22.92683 22.64000 21.52778 20.63253 20.13274 19.75138 20.04049 20.77682 21.07784 21.31336 21.65971 22.01605 21.72775 21.32132 21.46974 21.01185 21.64430 21.23060 20.67233 20.37180 
9.48778 9.27835 9.79644 9.91920 10.71429 11.75443 12.39125 12.63665 12.79846 12.89355 13.26752 13.45708 12.35932 11.51692 10.23182 8.22885 6.38043 6.02523 6.21051 6.47980 7.06477 7.64435 8.71090 9.91572 11.67002 13.13677 15.38127 17.55879 18.46361 19.40247 19.78709 19.60306 19.35484 17.32411 15.85299 13.77460 11.71471 9.66328 8.84377 8.19719 7.98949 9.31284 10.45789 11.77529 13.20065 14.49668 14.67097 14.77459 14.54000 14.00697 13.45075 12.47605 11.62468 10.75051 10.67961 10.50965 10.65408 11.54016 13.10289 16.74877 22.89956 31.01890 41.20813 59.98336 72.16599 85.25000 101.66163 100.16892 100.90253 94.68085 88.50575 79.89130 74.04580 67.36842 67.01031 61.27451 59.13462 59.59596 63.29787 62.82528 69.39163 70.23810 69.72112 76.06383 75.60976 72.60274 66.13924 62.53731 56.14035 51.63488 48.04178 44.49153 41.41689 41.99438 40.65041 38.34197 35.78199 36.30137 34.74576 32.68041 31.32411 29.18251 28.53107 25.93284 25.08834 23.32746 22.56711 23.38308 21.46341 20.47244 19.67593 18.97260 17.72152 19.12378 18.70229 18.32298 19.52264 20.00000 21.09635 22.10526 22.91196 24.94577 23.76884 24.27746 23.45133 23.90158 23.13433 
9.89188 10.34632 10.92904 11.25492 11.96073 12.70358 13.23921 13.18825 13.16809 13.30803 13.24877 13.46501 12.61615 12.11735 11.24248 9.34691 7.80423 7.10857 6.97674 6.80104 7.38506 7.91115 8.63585 9.67742 11.11803 12.69409 14.22937 16.31229 17.50318 18.80795 19.27832 18.97282 18.27826 16.68242 15.68450 13.94980 12.18130 10.34158 9.08730 7.93322 7.48470 8.63959 9.94698 11.71617 13.94373 15.85180 16.01043 16.10449 15.67736 14.51825 13.53211 12.86457 12.55496 11.95832 11.57173 11.33730 11.22837 12.44962 13.23607 17.33398 23.81101 31.98052 42.10526 64.35897 76.30480 89.53488 105.48589 102.97203 103.29670 99.26199 95.36290 84.35115 76.29482 71.42857 65.00000 58.62620 56.92308 55.20505 53.32278 52.48344 55.06757 62.08791 65.90909 70.76125 76.25000 72.10526 71.50171 70.67308 63.00310 56.41026 51.60858 46.68508 42.14660 40.95477 39.46731 37.18245 37.30512 36.80258 33.75000 32.08502 30.29412 29.26829 25.94340 25.00000 23.01459 21.39423 19.60784 19.11765 18.49758 16.71290 16.07629 15.90013 16.12903 15.20913 16.40316 16.44993 16.68857 16.72535 17.29858 19.17808 19.92574 22.08029 24.48454 26.40728 26.41129 26.51663 25.50403 
10.47297 11.20464 12.07938 12.65985 13.08659 13.62017 13.60784 13.44473 13.32491 13.25627 13.47059 13.84563 13.52104 13.07054 12.61950 11.60656 10.75581 10.45422 10.61036 10.81573 10.70808 10.72659 10.79436 11.14557 11.46922 12.12918 13.26961 14.70314 15.72684 17.09334 17.55757 17.64808 17.27079 15.61961 13.67057 11.79700 9.64450 7.80637 6.82680 6.10913 5.78488 6.89280 8.12967 9.54175 11.37189 13.52893 14.25703 15.20762 15.24894 14.53674 13.58106 13.29098 13.37121 13.07173 12.83951 12.56533 12.69765 13.37719 14.88464 18.32353 23.86029 31.92090 42.25352 63.33333 73.42466 88.44937 109.52381 107.45968 108.58369 100.85837 92.60000 85.88235 77.16535 71.82836 66.14583 60.36184 55.04587 52.71084 49.59569 48.37838 51.64835 53.91304 55.89124 61.38614 64.58333 67.01031 67.91809 67.76316 61.47059 56.14754 53.84615 49.17127 46.47520 41.79688 40.37037 39.00709 37.38938 35.75949 33.40040 33.00781 30.16760 27.52443 26.22222 24.27954 21.80617 19.18103 17.20117 15.83942 14.76945 13.57410 12.82209 12.10341 12.58621 13.01370 12.63473 12.81437 13.39623 13.11475 14.25061 14.99322 17.12034 20.38905 25.87302 29.72973 30.41045 30.78292 30.26316 
11.32847 12.55424 12.97197 13.37949 13.83482 13.91991 13.84677 13.41081 13.03846 13.02343 13.78694 14.65557 14.68561 14.44552 14.38964 14.39182 14.35872 14.69750 15.33313 15.84427 15.00740 14.02765 13.29170 12.57475 11.87317 12.01717 12.31343 13.05847 14.19548 15.56656 16.22790 16.26794 16.12384 13.93070 11.72119 9.65008 7.76362 6.27451 5.77396 5.61882 5.92480 6.84603 8.14139 9.28023 10.75502 12.44557 13.48081 14.48540 14.82143 14.32927 13.71704 13.88611 14.11630 14.40612 14.26394 13.93481 14.33403 15.36649 17.05357 19.81763 24.68681 30.19126 39.95536 56.74847 67.55725 82.14286 97.57463 103.74016 108.18966 106.25000 95.56962 91.42259 84.71616 75.50607 66.41509 61.70213 56.93069 52.79503 50.40541 46.87500 48.83117 48.02111 49.16898 52.27273 56.95364 62.75510 62.50000 63.31058 63.20755 60.11730 55.67568 52.18023 47.58065 45.18717 40.97744 42.08633 37.44493 36.07595 35.24096 32.82443 31.58845 27.54630 25.10823 22.55245 20.33520 17.79935 15.01080 13.41853 12.10526 11.26033 10.44625 10.61538 10.68249 9.19765 9.60000 8.81038 9.87261 9.33610 11.40888 12.65734 14.43058 19.65174 22.46269 27.46586 26.53509 29.22438 27.38402 
12.42327 13.30249 13.97080 14.25947 14.30158 14.20038 14.04301 13.61270 13.19888 13.04024 14.20940 15.24058 15.52775 15.90535 16.11753 16.19502 16.36515 16.86619 17.44914 18.06261 17.82875 17.52930 16.80149 15.35452 13.84060 13.34877 13.22957 13.24111 14.11352 14.93311 15.26090 14.58076 13.81136 11.91950 10.12332 8.50634 7.94003 7.41493 7.69231 8.33333 8.92290 10.10547 11.13314 12.10618 12.76764 13.56507 13.79608 14.22518 14.30012 14.16084 13.93130 14.57990 15.35656 16.10719 16.34046 16.44226 17.18203 18.79139 20.58454 23.09091 25.20921 30.35420 37.21865 47.24490 56.78392 68.53933 84.40860 92.55319 106.87500 107.48899 100.88106 97.54464 88.16964 80.12821 74.39024 65.69038 61.13281 59.03010 57.03125 50.87977 50.00000 49.58217 48.27586 47.78107 51.43770 52.58621 53.28467 56.06618 58.60215 57.26644 55.84416 51.35952 50.84746 46.35036 45.89977 43.89722 39.17197 36.90476 35.78067 33.76963 30.88235 28.07692 24.74820 22.38411 20.18750 17.04771 14.45409 12.72401 11.85270 11.44578 10.64860 9.82368 9.04724 9.02613 7.86638 7.26744 8.22785 8.25472 8.76011 9.84556 11.63859 16.03774 20.39152 24.95697 25.54622 25.51020 22.78481 
13.16411 14.16472 14.36798 14.75852 14.91056 14.53726 14.28000 14.00157 13.48127 13.62500 14.73747 15.63711 16.43469 17.32477 17.81528 18.05173 18.15765 18.65754 19.04685 19.82116 19.99010 20.44837 20.01730 18.03511 15.93183 15.13468 14.79652 14.51646 14.80499 15.31850 14.95575 13.65817 12.13325 10.77297 9.56113 9.12374 9.31101 9.54693 10.47887 11.27826 12.06791 13.05970 13.88583 14.41713 14.71477 14.99185 15.16560 15.29104 15.14317 14.90128 14.45391 15.14806 16.08435 17.10872 17.97386 18.76923 20.32086 21.71429 24.64930 25.27778 26.54028 28.21483 32.13296 37.05212 43.22200 52.59740 66.57459 75.21368 85.81315 90.69767 95.43568 95.85153 86.00000 81.71806 77.68240 76.38889 68.10345 65.78947 60.82474 59.28339 53.61446 50.87209 49.12281 50.00000 47.28097 49.50166 46.44068 49.46996 50.00000 52.65957 52.23881 52.93160 51.80723 48.44560 47.81553 44.01330 43.36283 38.93443 36.23596 34.52797 31.49351 26.67683 25.31915 22.53521 18.69104 16.10262 14.72564 13.68922 11.48851 10.45918 10.16194 9.69664 8.61012 8.29970 7.56579 6.66263 7.62712 7.76231 7.93358 9.36599 11.36767 14.20455 17.69984 20.95915 20.98284 21.19645 20.66062 
13.41138 14.10181 14.12104 14.10547 14.05858 13.98363 13.71162 13.34380 12.94253 13.02658 14.01588 15.29098 16.46515 17.39717 18.35010 17.89179 17.27855 16.81782 16.37427 15.86808 16.18727 16.88577 17.32094 17.31725 17.31145 17.52383 17.93865 18.50787 18.13121 17.82055 16.15768 13.95848 11.67093 10.65574 10.23371 10.45078 11.40273 12.18264 13.29449 14.34705 15.28591 15.82840 16.44541 16.64937 16.78322 16.77284 16.94999 17.08963 17.00334 16.18363 15.42278 15.84281 16.61924 17.44694 19.06445 21.14515 23.34526 25.47592 27.37374 27.61669 26.76056 27.01422 27.53623 28.57143 33.47193 40.82880 49.23469 56.39013 68.53448 76.00000 82.03390 82.58427 83.26087 83.48214 82.95964 80.92105 76.80851 70.86466 68.34532 62.16216 57.50000 54.89614 50.86705 50.42980 46.19718 46.22642 46.11650 46.05263 47.34043 49.45255 48.90909 46.83099 45.94595 48.31933 48.01587 44.91525 43.12977 40.44248 37.24884 35.91040 32.29443 28.51459 24.93902 22.31834 18.31426 16.47887 15.08314 13.27623 12.03401 10.31927 9.37668 8.42857 7.49656 7.30129 7.46924 7.44228 7.17927 8.09249 8.37958 9.16129 10.47619 12.05882 16.20306 17.83920 18.39546 19.23653 18.25095 
12.83264 13.46266 13.34003 13.34842 13.11475 13.10270 12.80959 12.68618 12.27913 12.23671 13.70146 14.82613 16.30197 17.48717 18.59449 17.59405 16.43335 15.25180 13.78680 12.29662 12.50000 13.26156 14.08826 15.53243 17.12497 18.03844 18.99489 19.62899 18.86318 18.37077 16.71774 14.65476 12.98924 12.23990 11.65563 11.67582 12.50774 13.21168 13.98291 14.73384 15.42625 15.64755 15.84314 15.80215 15.57229 15.18597 15.54679 15.87141 15.87959 15.89626 15.66667 16.30769 17.03501 17.98017 19.30594 21.21641 23.29451 25.75851 28.44378 27.76413 26.60099 25.58140 25.56742 25.58379 28.43676 33.26693 38.87097 44.97354 53.00668 59.44882 61.32075 65.83851 68.62745 70.45455 71.89781 71.71053 75.68493 72.08904 71.14094 66.72474 60.64516 55.94512 51.74927 47.47191 47.10744 43.38235 42.10526 41.96429 41.82692 39.87138 41.41414 40.93960 43.58553 42.20183 42.50000 43.67246 41.08911 38.67403 36.20968 34.66165 31.97514 29.04110 25.31172 21.82131 19.29735 16.78383 15.35181 14.25016 12.08147 10.09569 8.71622 7.49285 6.62795 7.05420 7.23438 8.06088 8.31919 8.85550 9.27152 9.66767 10.86165 11.62047 13.59593 15.07143 17.13615 18.26923 19.63315 
12.20124 12.58741 12.74792 13.01020 12.79232 12.71440 12.84991 12.84260 12.48084 12.47188 13.94616 15.11452 16.24473 17.17172 18.05765 17.15863 15.85548 14.70918 12.88351 10.97251 10.70288 11.15939 11.80847 12.95629 14.33841 15.18189 15.99455 16.69941 16.72390 16.72303 16.45631 16.03694 15.39358 14.40621 13.50430 13.25167 13.56752 13.71753 14.04978 14.35247 14.51972 14.34827 14.16327 13.66117 12.99815 12.22888 12.92045 13.64796 14.35644 15.29588 16.08611 16.66667 17.34272 18.19245 19.60699 21.46780 23.27586 25.79719 28.65254 27.42834 25.94014 25.22422 25.14384 24.54751 26.02653 28.57143 32.20025 36.54618 42.02658 47.64706 49.69136 53.55450 54.55696 59.32203 61.39818 63.59773 65.81325 68.15287 66.34615 66.29393 61.14865 57.69231 50.45045 49.55090 46.10951 44.26230 41.68865 39.76378 40.29650 37.16578 36.90476 37.43243 36.07427 38.05310 36.67622 36.30705 36.87873 36.31179 34.35252 33.75635 30.38462 27.00573 24.55013 22.01889 19.93834 18.80306 16.98809 16.37681 13.25571 10.65673 8.99029 7.88352 6.28362 6.54952 7.09302 7.56664 8.48126 9.09091 9.71284 9.91049 10.20864 11.24302 12.68293 14.51613 15.36624 15.65074 19.09871 
11.80289 11.89865 12.12025 12.68750 12.94986 13.14286 13.13858 13.23276 13.04837 13.00522 14.37102 15.66178 16.61690 16.95906 17.33921 16.12807 14.88749 13.66944 12.14937 10.59122 10.39261 11.09493 11.84570 12.96254 13.80443 14.61146 15.11335 15.51724 16.32332 16.94215 17.52731 18.47770 18.96922 18.02253 16.73163 15.79948 14.97649 13.91705 13.27068 12.67634 12.14842 12.12684 12.24888 12.06099 11.94030 12.00212 12.38915 12.94412 13.71821 14.87785 16.13043 17.34597 18.93997 20.49808 21.97647 23.37802 25.34870 26.71149 28.92734 28.15315 27.44604 26.64609 26.62957 26.49508 28.11212 30.34274 33.62069 36.08871 39.10714 42.42838 45.12195 47.92148 48.95349 52.74869 53.47826 59.21788 63.67925 60.57047 62.76596 62.94964 60.00000 56.16438 53.98671 52.37342 47.29730 47.28097 43.47826 40.22663 39.28571 37.91045 35.77236 37.06199 34.96042 34.44149 34.37500 32.71028 31.64653 32.88043 32.53968 32.14286 29.50311 26.60350 24.64239 22.52042 21.98795 20.28640 18.69159 17.81984 14.06061 11.44732 9.62576 8.14428 6.54617 6.44087 6.56224 7.54438 8.38415 10.22827 9.21053 9.74026 9.59677 11.26866 11.87291 11.27273 13.02817 14.80447 17.69231 
11.93591 12.08844 12.66730 13.01692 13.71490 13.95840 14.51090 14.48733 14.32592 14.18528 15.37556 16.72457 17.21049 16.67649 16.25477 14.99207 13.44600 12.14303 11.53385 10.75837 11.11188 12.13726 13.35032 14.03672 14.92347 15.38803 15.34281 15.23715 16.36905 17.50261 19.30659 21.19073 23.08757 22.05094 20.66316 19.07771 16.49660 14.20419 12.31498 10.62921 9.17638 9.73255 10.29283 10.88506 11.68421 12.43386 12.74409 13.02741 13.68907 15.04694 16.64152 18.35334 21.04803 23.41969 24.84313 26.32600 27.25979 28.14227 29.64768 29.09535 29.22895 29.40299 28.71622 28.58833 29.86577 32.60000 34.81848 36.37640 38.12834 39.65517 43.89381 44.44444 46.13095 47.98206 51.13924 54.75610 58.94886 58.43750 61.18644 59.40767 55.11945 52.52525 51.98020 52.41158 49.06250 47.66355 45.08929 43.47826 41.33739 39.47368 37.82723 34.92462 34.67153 32.99257 30.85106 31.01266 30.55172 29.35223 29.15994 28.98089 27.17873 25.29940 24.66488 24.33809 24.33362 22.50836 20.48222 18.98863 15.73077 12.92254 11.06748 10.25815 8.35855 8.01122 7.42942 6.86016 7.76173 8.81732 8.96552 8.31612 7.87445 8.89213 8.56481 8.24000 10.75581 11.64902 13.64329 
11.75025 12.12318 12.75136 13.49057 14.34540 14.82602 15.36073 15.75898 15.60996 15.36545 16.83554 18.03636 18.88764 17.85714 17.01584 15.25926 13.09414 11.43349 10.88798 10.47059 11.02719 12.25376 13.67824 14.91170 16.36461 17.43970 17.56979 17.51825 18.27526 18.81964 20.07249 22.27157 24.09316 23.69213 22.57094 21.35620 17.95345 15.16573 12.77102 10.49861 8.80682 9.77860 10.70870 11.93872 13.53541 15.40160 16.01838 16.32231 16.88901 17.85050 19.17459 20.85582 22.47774 24.97083 25.86727 27.69580 29.38788 30.73593 31.39535 32.44147 33.38983 33.63029 34.25508 34.20195 35.49488 37.43109 38.86926 40.22989 42.17207 42.70517 44.12266 45.29520 47.60479 50.00000 52.24439 53.12500 54.89614 57.18850 57.67918 57.42049 57.86713 55.76923 53.06122 52.68817 52.66904 49.07121 48.17629 46.49123 43.61702 40.40698 41.20000 39.34010 37.88599 37.07415 33.48881 34.16000 33.59014 33.00604 31.57143 30.40730 28.57143 26.14458 25.40717 24.85795 25.26273 23.25208 21.64286 19.90272 17.19670 14.08991 12.72659 11.87364 10.35889 9.25676 8.49515 7.18391 7.05882 7.24138 6.49272 7.00637 6.29792 7.53138 7.08275 8.12950 8.29082 9.19842 9.81767 
12.11823 12.67057 12.94400 14.09852 14.88668 15.43022 16.06133 16.28821 16.29598 16.42041 18.13713 19.98569 20.79965 19.36896 18.11788 16.01702 13.27510 10.87197 10.51175 10.08584 10.47640 11.89591 13.66158 15.60353 17.62854 19.26454 19.61512 20.28494 20.07150 20.06162 20.36145 22.51958 24.69325 25.00000 24.67908 23.83618 20.13070 16.84894 13.97602 11.46366 9.44632 10.52762 11.38543 12.55474 14.68738 17.01995 18.12665 19.11683 20.06586 21.18822 22.46321 23.85020 25.51705 27.59295 29.31614 30.87312 32.02055 33.35956 35.00000 36.62060 38.59764 39.20000 40.11220 41.79523 41.42857 42.22374 42.55319 44.11765 44.71154 47.18430 48.58757 47.60479 50.96774 50.69606 52.68542 53.53403 55.71848 56.07477 56.39344 55.11945 57.65306 54.05405 52.01342 53.23741 50.52817 47.67081 46.31902 42.96188 43.96285 41.15044 41.91375 39.12500 40.62500 39.61538 39.01786 36.84993 35.06311 33.92130 32.50000 30.40201 28.77527 26.64474 25.17241 26.29500 26.43505 24.50372 22.70379 21.16549 18.81263 16.53846 15.22727 13.51607 12.23554 10.89325 8.51602 6.91489 6.05469 4.91713 4.84694 5.99369 6.75241 7.46269 8.90411 10.35578 11.75743 12.40409 11.83311 
12.80910 12.89062 13.72832 14.58861 15.58989 16.04466 16.26687 16.23681 16.53713 16.70897 18.52679 20.73437 22.05031 20.53462 19.44240 17.17119 13.94567 11.11882 10.30454 9.29192 9.41554 11.03326 12.83688 15.14877 17.72495 20.18393 20.89891 21.50915 21.24807 20.73171 20.44994 21.86312 23.02346 24.18546 25.50193 25.75107 22.56372 20.27523 17.21788 14.14468 11.85517 12.05011 12.18080 13.04121 14.73294 16.84842 18.80169 21.03288 23.43091 25.11390 27.44845 29.15452 31.44068 33.86571 35.01896 36.44008 38.03191 38.93320 40.09585 41.55154 42.98441 44.29724 44.67105 45.98930 46.05809 47.13506 47.85714 48.38957 49.51378 49.74446 50.97826 51.36674 54.56853 52.37467 52.96610 53.99408 56.21019 55.30547 55.01672 54.08163 51.98020 53.00000 48.98305 46.94915 44.50000 46.62379 42.94671 40.79755 41.12426 39.37677 40.62500 39.05882 42.05298 39.82036 39.44444 39.35644 38.88889 37.29927 34.93544 32.40109 31.45401 29.33884 28.60656 27.40088 27.26923 25.38513 23.72380 22.34305 20.54284 18.90534 17.18223 14.98559 14.03368 11.92587 9.42623 7.55287 6.25000 5.19481 4.88166 5.40950 7.27459 8.23460 10.49822 12.54524 14.65416 15.38462 15.04481 
13.58066 13.92157 14.37319 15.32591 16.15481 16.30301 16.28959 16.37090 16.42961 16.38667 18.39572 20.99530 22.61197 21.67920 20.77196 18.36646 14.76358 11.48188 10.29361 8.91445 8.65520 10.16291 12.09433 14.41169 17.71223 20.53316 22.06459 23.60853 23.13011 22.07447 21.37787 22.03947 22.46575 23.77342 25.53191 26.88235 25.31086 24.03023 21.16921 17.68909 14.92717 14.08058 13.11079 13.05566 14.03290 15.18006 17.14286 19.64779 22.47561 24.88660 28.11005 30.82645 33.87306 38.03191 39.56329 42.56813 44.32943 46.60310 47.90609 48.48866 48.23529 49.59405 48.84793 48.36703 48.55538 48.57143 49.75369 49.73638 51.95167 52.31660 52.57353 53.46154 53.72928 53.90173 54.95495 53.20122 54.82315 53.33333 53.40909 51.47059 47.17868 47.64890 45.82043 43.98148 41.50943 41.79331 39.57704 40.20772 38.49432 38.30084 37.77778 39.33649 40.95982 41.32231 41.61850 40.60914 40.80189 39.33237 36.72199 35.19231 32.85329 32.40361 30.74398 29.12000 28.14710 26.37719 24.72648 23.70644 22.75148 21.30996 19.40397 16.69388 14.79317 12.81960 10.14717 9.12469 7.17781 5.70815 7.31490 8.27996 9.11628 12.64295 13.36317 15.57971 17.81751 18.82129 16.99219 
13.83439 14.06096 14.54898 15.15296 15.58768 16.01236 16.22155 16.54225 16.71559 16.87806 18.79607 21.19634 23.07771 22.96574 22.76616 20.42498 16.30000 12.75205 10.97220 8.98406 8.43477 9.49056 11.38312 13.77852 16.72202 20.78290 23.47486 26.12298 26.61290 24.92521 24.09661 23.38028 22.35890 23.58401 25.30891 27.33221 27.98058 28.46865 26.52213 22.54859 19.83368 16.93844 14.35312 12.87254 12.67512 12.51771 13.98437 16.07177 18.57143 21.28289 25.10814 28.89972 33.95433 40.26258 44.06919 50.14205 54.59345 56.83761 59.21659 58.71795 57.30435 55.27241 52.46914 49.69325 47.82609 49.07407 48.73150 50.67720 50.00000 52.21130 51.87970 52.74151 54.78723 53.62903 54.15512 51.83486 54.28571 54.76190 52.39617 53.38710 48.57595 48.58934 45.53571 43.82353 40.11461 39.16667 37.70492 37.06199 36.15385 34.03465 36.17512 36.88341 37.09677 38.84540 38.26816 39.80322 39.32119 38.61607 37.33055 36.23596 35.47957 33.54380 31.65847 29.93506 28.40843 26.45858 25.79832 24.83278 23.49315 22.17391 20.07042 17.80384 14.79473 11.87151 9.13174 7.78252 6.01504 5.68182 7.24568 8.82061 10.15152 11.94030 14.60905 16.38601 18.25397 18.95861 18.63271 
14.00200 14.11436 14.22553 14.69460 14.97006 15.60658 16.25344 16.89780 17.16528 17.49781 19.18647 21.60341 23.78947 24.29752 24.74353 22.44988 18.01589 14.16625 11.76394 9.47943 8.22732 9.37080 10.96386 13.30665 16.18893 20.10173 23.17380 26.87044 27.51773 26.90024 26.09394 24.73223 23.12224 23.11047 23.99001 25.04401 26.58016 28.05017 27.36521 24.59184 22.68981 19.05571 15.95501 13.75170 12.50520 11.07962 11.52597 12.38281 13.67493 15.36624 18.14286 21.55026 26.27331 33.25145 39.23913 47.84031 55.00000 60.09615 66.15385 63.93035 60.55276 59.40678 53.09917 49.39024 47.98658 47.25051 45.64315 47.72727 48.64865 50.00000 49.60212 48.77384 50.00000 50.41436 48.74302 51.74927 50.00000 50.43988 49.55224 49.11243 46.65738 45.87912 42.03911 40.62500 38.46154 36.79707 34.73945 32.16019 30.94688 31.46453 30.32258 32.40938 32.07547 34.17969 35.08604 36.28885 36.01695 36.73163 36.34969 36.46209 34.96209 33.84101 32.08054 30.02536 28.15789 27.18769 25.83234 25.53256 25.03799 23.98208 20.80799 17.74068 14.77178 12.13163 8.71134 7.11902 5.30822 4.88861 6.56028 7.09001 9.72396 11.63735 13.15789 15.25316 16.62354 17.41645 16.64596 
14.63496 14.70297 14.73171 15.08496 15.40652 16.17280 17.05629 17.93198 18.27525 18.58262 20.19627 22.72727 25.18382 26.09799 26.72057 24.64106 20.05316 15.99174 13.16733 10.19708 8.54142 9.60417 10.93936 12.91190 15.85666 19.57371 22.09302 25.49471 26.93424 27.74975 27.66446 25.83406 23.50649 22.34994 21.82574 21.53285 23.09331 25.06039 25.85693 25.27418 25.16677 21.32942 18.10345 15.23845 12.52133 10.15438 9.64792 9.54996 9.58101 10.67298 12.20325 14.75859 19.22710 25.88853 32.82675 43.27785 51.85185 60.66763 68.81356 67.92279 63.94052 58.83978 54.03587 50.00000 45.76087 43.57602 41.91810 43.25843 45.45455 45.66265 44.77212 45.45455 46.33152 46.68508 44.16667 46.08696 46.94767 47.41379 44.85714 46.57143 44.33962 42.95039 41.35338 39.85507 37.21198 36.33333 31.41026 28.95792 29.25852 26.28458 26.53226 26.66126 25.81433 27.25724 27.77778 29.89130 29.94924 31.91176 34.09533 34.49153 32.58514 31.80260 30.50955 29.85225 28.69537 27.86885 26.87183 25.96848 26.52972 25.18692 22.67498 20.64145 17.38589 13.11927 9.75610 8.51675 7.08008 6.05096 6.47752 7.19424 8.10811 9.03179 10.90909 11.65730 12.97872 13.58025 12.59591