ncols 127 nrows 57 xllcorner -124.81250 yllcorner 45.50000 cellsize 0.06250 NODATA_value -9999 33.53753 33.83127 34.42148 34.97531 35.46795 35.77207 36.22018 36.66939 37.18276 37.45912 37.39598 37.13109 37.08686 37.17804 37.36068 37.05768 36.45669 35.71836 33.90119 32.86932 31.57199 30.92652 29.81481 29.50477 28.78007 28.55960 28.08901 27.26143 26.55807 26.75102 27.12305 27.86164 29.31452 30.50815 31.16490 31.51731 32.09403 32.07547 32.18717 31.57339 30.65026 29.70711 29.75334 29.92184 30.43169 30.36437 29.89601 29.87155 29.36242 28.81500 28.69295 29.35689 29.99139 30.85535 32.20859 33.68918 34.68137 35.38426 35.95729 35.25641 34.31105 33.29032 32.87220 32.42574 32.29212 32.42452 32.26126 32.19329 31.81377 31.11228 29.74777 28.15682 27.88717 28.82573 30.16779 30.41985 29.23077 28.00000 27.88321 26.64360 24.74333 28.30882 34.86647 39.11672 39.04494 42.23433 45.33493 47.76536 51.27768 52.50464 54.69613 56.59656 56.83112 57.27848 57.72532 55.68182 54.46097 55.21739 54.31034 53.31034 54.73251 53.70879 52.61394 52.55236 51.70240 51.78765 51.55367 50.87354 53.32765 54.23729 54.69880 55.75379 56.34615 55.57789 53.08123 51.29683 48.04413 46.43536 43.86121 40.42225 38.87324 36.21951 35.52299 34.96042 35.26560 36.18873 37.16247 32.99063 33.34994 33.95795 34.53261 34.96246 35.25201 35.77805 36.25141 36.64418 37.22547 37.71349 37.95344 38.36151 38.67993 39.04053 38.96867 38.01170 37.22160 36.20690 35.15116 33.73494 33.23529 32.21024 31.90164 30.96301 30.71429 29.45205 28.25469 26.97333 26.70130 26.58573 26.73150 28.05369 29.30597 30.06173 30.46382 30.89416 31.03749 30.76923 30.72100 30.43724 30.07939 30.03018 30.80027 31.32691 31.40308 31.24549 31.21622 30.74281 30.47666 30.56419 31.33110 32.13660 33.17814 34.33747 35.75991 36.35369 37.28288 38.16785 37.20770 35.83868 34.86842 33.75000 32.88835 32.98137 32.70202 32.27395 32.41329 32.37615 32.46660 31.07062 29.96673 30.07988 31.86047 33.30258 32.89565 32.71889 32.46753 30.80940 28.97196 28.44991 30.72430 37.42515 37.74510 37.91045 41.04478 43.96783 47.44681 50.00000 50.62762 52.12982 52.81250 53.34008 54.58515 55.42986 53.10559 51.89076 51.80361 52.28426 51.71010 50.94044 50.23041 50.22455 49.12791 47.49304 50.37879 50.84650 51.85185 53.17797 53.93939 54.83871 55.25164 55.02309 53.65006 51.09034 49.69199 46.76724 43.90164 41.67672 40.64220 38.89823 36.83812 35.78164 35.22829 36.47182 37.63542 38.49315 32.93519 33.65525 34.20745 34.84950 35.34299 35.42628 35.54132 35.90015 36.34980 36.93906 37.50000 38.30691 39.02592 39.62485 40.44255 41.08280 41.50943 42.18925 41.09871 39.54128 37.49216 36.05296 35.20871 34.38430 33.54037 31.92282 30.75916 28.58491 27.75076 27.24378 26.90234 26.97297 28.04139 28.47025 28.77616 28.83610 29.14923 29.43882 29.82337 30.11013 30.54580 31.08209 31.66925 32.33781 32.97685 33.29079 33.06979 33.17505 33.10268 32.37206 32.54792 33.30902 34.07735 34.96822 35.82449 36.90427 37.94643 39.05138 40.36325 39.60808 38.87259 37.53086 35.81395 34.32941 34.33678 33.99264 33.83958 33.63978 33.99725 34.08865 34.01937 33.52638 34.09194 35.20221 36.23943 36.83628 37.28522 37.44939 35.55708 34.02662 33.09859 35.30067 40.51724 44.24920 38.90411 39.40678 42.80822 46.59794 48.30189 50.32823 50.61983 51.55280 51.74419 52.57985 51.16279 52.00445 50.34483 50.00000 50.29126 48.30827 47.04301 45.36082 44.30693 45.30478 43.81933 44.17910 48.42271 49.39940 50.87209 52.34375 54.14823 53.31492 53.10150 51.37363 49.03122 46.90722 44.05941 42.60090 41.33929 40.93778 39.71924 38.54962 37.25235 36.21109 38.04878 39.42598 40.69712 33.23385 34.27258 34.94561 35.73626 36.14398 35.80293 35.61321 35.67665 36.13836 36.56501 37.55176 38.64018 39.64672 40.79460 41.87288 43.11741 44.68391 46.22272 44.91071 43.71089 40.66753 39.65184 37.81969 35.94937 34.91515 33.68000 31.77570 30.18018 28.74273 27.88927 27.65748 27.79513 27.73179 27.74343 27.48897 27.96567 28.26932 29.03377 29.97753 30.65756 31.33080 31.67575 32.60400 33.55408 34.08756 34.50461 34.78797 34.87713 35.18995 35.42671 35.80337 36.22656 36.72131 37.21022 37.82510 38.47822 39.52710 40.62722 41.63462 40.77615 40.02478 38.42303 36.24868 34.80463 34.20677 34.08051 33.75000 34.69849 35.07330 35.74891 36.00478 36.25756 37.35526 39.31987 40.79568 40.51919 41.17647 41.92463 39.91935 39.23445 38.33017 40.60543 44.81383 45.50898 44.72973 41.42857 45.73643 46.77419 47.08171 48.03493 49.09639 47.07031 49.35484 48.34437 48.94366 50.30675 51.30719 49.13462 47.68340 47.73585 43.16988 40.11532 40.35370 41.31833 40.61033 41.87898 44.45769 46.77804 48.11978 50.81411 51.37615 51.25654 51.52905 48.83721 45.99109 43.15353 42.37288 41.53984 40.59486 40.61697 40.21739 40.26549 39.22463 39.11620 40.13921 41.62323 44.11974 34.48813 35.39300 36.13069 36.94268 37.42384 37.60836 37.66876 38.30030 38.95223 39.72019 40.42972 41.14924 42.04268 43.22092 44.40210 46.00273 47.37047 49.07873 47.92793 45.92030 43.80413 41.26506 39.06144 36.87752 34.82024 33.66337 31.71334 30.84597 30.07722 29.70588 29.19014 28.85906 27.98507 27.24077 27.59096 27.67484 27.99325 29.28046 30.40913 31.29091 31.95446 32.33523 33.22928 34.14634 35.22995 35.49416 35.88983 36.09238 37.12458 38.40250 39.44588 39.57087 39.64330 39.65735 39.95861 39.87697 40.58104 41.71910 42.67066 41.37168 40.31911 38.21668 36.07931 34.23150 33.81094 33.67217 33.50254 34.77000 36.05596 37.63574 38.24106 40.22271 41.33765 44.06109 44.89672 46.11399 46.16279 46.44269 44.09149 42.18524 42.63959 46.97802 49.65596 49.60836 47.08333 44.95413 45.13514 45.07576 45.18349 45.45455 45.73257 46.33650 46.40523 48.06034 47.01087 49.70530 48.75776 48.65832 46.46098 42.10526 40.37901 37.92633 38.88140 39.49329 38.87240 41.43485 43.32273 46.07843 48.46715 49.16551 50.00000 50.65934 50.45547 48.83382 47.85056 46.47405 43.90110 42.70186 42.80339 42.22408 42.19219 42.31134 42.70030 42.62436 44.17879 44.96920 46.70846 35.91830 36.55172 37.20120 37.89507 38.41003 38.88084 39.28697 40.01007 40.83139 42.04515 42.57292 43.23944 44.08004 45.45169 46.80938 48.54460 49.57158 50.40305 50.00000 47.90655 45.77326 42.15292 38.81215 36.04895 34.89583 32.69231 31.98799 31.54418 31.14818 30.55965 30.68670 29.81557 29.31034 27.95302 28.39545 28.59701 28.72636 30.42153 31.65860 32.79412 33.12637 33.48259 34.10256 35.22572 36.02457 36.62969 37.32106 37.86751 39.21275 40.62173 42.08931 42.22130 42.46652 42.33361 42.12606 41.80261 41.82002 41.95688 41.86217 40.85524 39.74976 37.71812 36.07325 34.72165 34.62986 34.51291 34.70310 36.23529 37.86008 39.48972 40.59322 43.07248 44.43667 46.45062 47.54098 48.08140 48.36364 47.95322 46.32153 44.81982 45.61102 50.25042 55.30146 53.91924 51.74419 47.10611 47.58713 45.81218 44.01408 44.54545 43.61233 44.60581 46.72489 46.84874 47.67699 47.49536 48.24903 47.76490 45.25000 42.56000 40.15363 37.54579 36.99634 38.38174 38.31445 40.59767 42.40196 44.06196 45.41985 47.80702 49.22179 50.95037 50.84112 49.05660 49.14204 47.34390 46.50000 43.75000 43.66197 43.94659 44.13629 45.13958 46.16508 47.23992 47.43875 47.97145 50.10623 37.02357 38.28657 38.56518 38.81670 39.08094 39.70810 40.30323 40.98675 41.73540 42.54124 43.26477 44.26041 45.16770 46.15577 47.93352 49.27610 50.04425 51.13852 50.59201 48.26923 46.09423 42.44604 39.10035 35.95101 33.16761 32.16561 31.36519 32.18673 32.40813 32.81596 31.76080 31.66561 30.39773 29.31034 29.14491 29.12324 29.36327 31.15463 33.01549 34.18513 34.49081 34.91702 35.41667 36.24739 36.90422 37.90357 38.69667 39.51034 41.05341 42.66289 44.13854 44.47229 44.82227 44.55387 43.99746 43.49628 42.90748 41.79519 40.79179 39.85680 38.62785 37.40876 36.56174 35.31682 35.57692 36.00177 36.57143 38.11410 40.41798 41.94991 43.26988 44.86465 46.70764 47.71574 49.19571 50.40377 50.14793 49.70060 47.95918 46.28821 49.25865 53.08057 60.29412 59.77528 57.14286 48.17073 49.60836 44.27481 46.35036 42.61658 43.24645 44.66667 45.70662 47.19388 48.03002 49.41748 50.60000 48.91501 45.98930 43.44538 40.05006 37.16763 37.37805 38.94536 40.33557 41.57566 44.62366 46.01518 45.92530 46.80851 50.00000 50.87848 52.31362 51.08583 51.19403 49.41691 47.66585 46.72544 46.52000 47.30369 46.60279 47.15347 48.20000 49.42085 49.04632 50.13649 51.90034 37.81382 39.46256 39.53532 39.63443 39.78596 40.56561 41.30660 41.88144 42.20233 42.57869 43.27177 44.01148 44.87933 46.29161 47.98328 49.65380 50.66306 52.20588 51.89310 50.43584 47.96954 44.85924 41.99466 39.04796 36.20690 34.58755 33.49788 32.92568 33.69272 32.89362 32.95455 32.55814 31.83857 30.49133 30.65517 31.18393 31.16325 32.60355 34.50514 35.83942 35.95554 36.08247 36.20917 36.46967 36.94554 37.49663 37.83926 38.25974 39.28191 40.30541 41.07115 41.68502 42.09417 42.15369 42.08984 41.74809 41.03066 39.85477 38.97629 38.14050 37.19241 36.66877 36.87196 37.07598 37.66447 38.45716 39.80705 40.83373 42.67074 43.78238 45.16509 46.94175 47.69484 47.59725 47.42647 48.59320 48.80597 49.12621 48.97260 50.00000 51.77165 54.73373 64.37346 62.04986 55.46875 51.70455 49.18033 48.03665 48.51852 47.14964 46.43629 46.87500 46.13583 50.34884 48.93365 50.30364 50.92213 49.18330 46.59686 43.87255 41.22706 39.58333 40.22472 41.67694 42.85714 44.49541 47.10018 48.32714 46.81373 46.54605 49.35714 51.57186 52.16535 52.33402 51.31323 50.99810 49.87893 48.75000 48.76645 49.23391 50.14866 50.14124 50.54845 51.31694 51.83113 52.40000 53.45304 37.00748 38.23812 39.15888 40.19020 40.98278 42.06926 42.97007 43.30863 42.80956 42.25529 42.67343 43.41693 44.08793 45.85947 47.73928 49.73531 50.93303 52.93638 53.23151 51.64894 49.36387 47.11212 44.85388 41.36842 39.41685 37.04797 35.38182 34.78049 34.87395 34.57447 34.05097 34.11765 32.71462 31.92365 31.84097 32.15078 33.19328 34.90506 36.27678 36.87500 37.09158 37.07634 36.79381 37.07983 36.90592 37.06484 37.17317 37.22915 37.36772 37.46943 37.66210 38.23903 38.63860 39.01968 39.17283 39.43261 38.68986 37.81214 37.22663 36.61114 36.30487 36.16526 36.70886 37.16578 38.12910 39.64926 41.53944 42.52901 43.30664 45.67605 46.40411 48.16054 48.42932 47.47191 44.86781 46.18644 47.57506 48.21814 50.83643 51.38889 52.69461 55.94059 62.91866 60.65789 54.85075 52.03252 50.75000 50.34884 48.07281 48.44075 48.27255 48.02632 50.66815 52.01342 50.34404 52.07921 50.00000 50.51282 48.78641 45.49550 43.19767 40.54348 42.03390 44.10319 47.16599 48.12207 50.00000 50.00000 48.07074 47.82958 49.20914 50.00000 51.27298 51.68120 51.69683 52.77778 52.09241 51.71053 51.99468 53.23409 54.64396 53.35265 54.54183 52.97483 53.14781 53.18584 54.74838 36.66098 37.77799 38.91584 40.31823 41.52833 42.26667 43.09154 43.57223 43.39869 43.31436 43.92359 44.44888 45.03207 46.45099 48.18294 49.97085 51.54778 53.85274 54.68594 54.48414 53.86266 52.30658 50.38735 47.84637 44.13284 40.38902 38.51455 36.84211 35.71429 34.56240 33.96040 33.56941 32.52688 32.46587 32.56659 35.13616 35.72443 37.18200 38.20639 38.60439 37.61048 37.08344 37.05494 37.34164 37.58183 37.75395 37.91126 38.02599 36.98802 36.04585 34.90790 34.88399 34.51035 34.87684 35.42549 35.81043 35.57065 35.51797 35.53622 35.47282 35.62325 35.73462 35.54313 35.34275 36.55105 38.09289 40.24303 41.20690 43.51904 45.03714 46.65385 48.93293 48.14586 46.92833 44.52333 45.43269 46.29898 48.38493 48.88559 50.42796 52.48120 54.62963 60.09615 56.69291 55.08475 53.61446 54.40181 53.97149 53.23160 54.35268 55.12048 55.05952 55.51664 55.33808 54.63918 55.25164 54.63576 52.61780 52.01005 49.75884 46.78954 44.52055 47.36181 48.91775 50.00000 50.22693 51.00167 49.74048 49.74533 48.22335 49.76153 49.50083 51.84332 53.57616 53.71025 54.67706 54.78227 54.62329 55.30035 56.43979 56.77419 55.89520 55.82770 55.36149 55.22749 54.61754 55.35714 37.74767 38.84172 39.54498 39.86653 40.43098 40.90711 41.24969 42.06820 44.06646 46.02649 46.79756 47.18087 47.19956 48.24206 49.00618 49.89562 51.86191 54.28975 55.97227 56.69231 57.87367 56.99752 54.79075 52.30432 48.74525 44.08983 40.95193 39.25581 36.35123 35.82677 34.27807 33.11359 34.00000 33.76565 34.63476 36.37431 38.59779 39.36605 39.63848 39.47681 38.24121 37.08311 36.46055 37.31687 37.88018 38.23891 38.83817 39.54632 38.77127 37.43485 35.84386 34.30318 32.87868 32.28946 32.44001 32.54410 32.75831 33.02213 33.30304 33.81632 34.20060 34.77573 34.95810 35.20916 36.10805 37.46269 38.72868 40.44715 42.66254 44.30108 46.16307 49.22521 49.81013 47.00544 42.26457 42.48434 43.42327 43.89671 46.44670 47.88401 50.48701 54.23913 57.29927 54.74934 54.62185 53.05233 54.78723 56.81818 58.19536 58.73494 59.57447 59.19440 59.44700 59.84375 59.66851 57.03125 57.22892 56.51125 54.19907 53.42466 50.34364 48.64407 50.18727 52.39826 53.37079 52.94562 53.23920 51.53846 51.76174 50.25042 50.61728 50.78947 52.57353 54.93827 55.76923 57.23906 57.22611 56.58972 57.81818 58.23755 58.70712 58.02920 57.32283 57.44275 57.08419 57.43310 57.95247 39.55056 41.17647 41.90998 42.03911 42.15132 42.01608 42.09938 42.13836 43.22859 44.20690 44.88115 45.29579 46.05975 47.01959 48.48978 49.58062 51.77846 54.01679 55.64551 56.16438 57.03835 56.14083 54.76471 52.76442 49.87583 46.41026 43.11688 41.46577 39.26527 37.75229 35.97973 35.20900 36.37856 36.73780 36.49289 38.72083 39.63415 40.44944 40.29803 40.56494 38.09859 36.59420 36.01036 36.44410 37.27321 38.61090 39.69838 41.27933 41.12441 40.60570 39.78078 36.95335 33.96829 31.26735 29.72973 28.65731 29.42556 30.12954 30.93706 31.72099 32.70448 33.79151 35.01688 36.29090 36.84644 36.76868 36.21746 38.04945 40.21099 42.43902 45.13089 48.30615 48.64662 47.92453 44.53249 42.00820 41.21212 40.71567 42.83920 46.12676 47.51185 51.23288 53.52941 53.48837 54.45545 52.22772 55.78512 58.91089 62.41830 63.63636 66.20690 65.10067 64.90066 65.29933 64.74480 63.91129 60.47228 60.07463 57.93796 57.03971 54.48505 53.64641 54.48370 54.73684 55.97015 55.57730 56.43777 54.58515 52.51866 51.94805 52.63620 52.58176 53.67647 56.62393 57.86445 58.53081 59.68858 57.93737 58.69318 60.27132 60.22727 59.63303 59.22131 58.92857 59.30657 59.38462 59.01718 41.60000 43.78001 44.71081 44.45711 44.57415 44.17064 43.60341 43.12858 42.67612 41.81678 41.91919 42.99200 44.12775 45.66787 47.46886 49.36575 51.74263 53.43337 54.92996 55.44126 55.85534 55.16929 54.29389 52.52525 51.04167 47.86856 45.27453 42.77431 40.45726 38.62405 37.28025 37.04071 37.94489 38.38812 39.58333 39.60924 40.32663 40.42308 39.48735 38.80332 37.75510 35.78138 35.01114 35.97232 36.21291 37.50000 38.89410 40.31410 40.37194 40.28369 40.05062 37.80401 35.49611 32.31159 29.56969 27.59756 27.41287 27.74920 27.89219 29.16277 30.45315 32.13767 34.08078 37.06806 37.96992 38.07260 37.88279 38.99848 39.78378 41.26040 42.54606 44.41687 44.92806 44.51429 43.85593 40.91581 36.91684 37.83784 39.13649 41.53226 44.30894 47.26444 50.00000 52.45902 53.38346 54.07407 57.64873 60.12987 62.35698 66.93548 70.17766 70.02427 68.18182 70.09238 68.10345 68.60000 67.00405 63.16271 61.62162 60.96257 57.88609 57.13496 57.66129 59.13819 59.16399 57.04887 57.33198 56.13497 54.40415 53.07692 54.25000 55.79832 56.81818 57.39130 59.78695 60.87224 60.50175 61.65208 61.79525 60.73095 60.43689 60.85427 60.09036 59.19261 59.65418 58.53211 57.81250 43.04706 45.44951 46.73077 46.98070 47.57023 47.22282 46.81377 46.14777 46.17230 46.22246 46.40666 46.51163 46.90873 47.75321 48.95062 49.73009 51.09890 51.85811 52.62999 52.45603 52.01665 51.90127 50.92847 50.22936 48.49453 47.23502 44.56825 42.94280 40.84125 39.69595 39.43662 38.32988 39.71239 40.46154 41.57143 41.42857 40.54514 39.59470 37.58149 36.31485 35.59322 34.49469 33.75206 34.56679 34.99524 35.88040 37.38488 38.53782 38.93868 39.18442 39.24579 38.00464 36.47242 33.79754 30.40828 27.33479 25.85926 25.08020 24.61441 26.29524 28.26195 30.29347 33.13082 37.23505 39.23584 40.24649 41.89189 40.98361 40.41791 39.39490 39.14641 39.88372 40.11097 42.03125 41.57303 39.50233 35.70191 34.57944 37.92208 38.34197 40.13158 42.15385 48.57595 51.25698 54.58333 56.92935 61.20130 65.27778 68.75000 69.31507 74.48980 74.66307 75.31969 72.20874 72.71784 70.55215 68.82591 66.48352 66.30435 62.89222 61.17886 60.06849 61.50307 63.16225 62.32517 64.32584 62.59766 61.25000 59.47581 57.95756 59.78836 59.81818 60.07260 59.36107 59.78723 60.53316 60.72797 61.99284 63.27801 63.30472 63.37580 60.91205 60.91825 58.88158 57.40181 57.50000 56.35593 43.88966 46.55172 48.17864 48.90855 49.71336 49.55709 49.38200 48.98066 49.08379 49.31973 49.32551 49.28482 49.29461 49.18207 49.41758 48.59813 48.91582 49.16329 49.07975 48.55278 47.34756 46.23794 45.76700 45.24169 44.27793 42.26519 40.86223 38.78116 36.45691 35.60000 35.36184 35.06565 36.16803 36.85652 37.70492 37.83784 36.99732 35.99509 35.22727 34.00927 33.63922 33.12147 32.70213 33.68378 34.77484 36.15102 37.72662 38.92784 39.64905 40.30303 40.70289 39.62353 38.46935 36.16835 33.24888 30.34008 28.51351 27.01559 26.19149 27.42647 29.04269 30.99010 33.43806 37.38516 38.95397 40.49666 42.62590 42.97424 42.53028 41.18976 40.02123 39.16479 39.94975 39.64242 39.94294 39.14791 35.66176 38.04945 36.43617 40.57143 39.53488 42.80822 48.41549 51.04530 56.09375 59.69231 63.27869 66.87500 70.59701 73.42466 76.24021 75.48544 74.47130 76.87861 74.18224 73.31081 72.03024 69.36620 66.28959 65.68182 65.00000 65.04425 65.45894 65.98985 67.04545 67.96407 66.81985 65.29517 64.34783 63.98773 64.85149 62.50000 61.67820 61.81278 60.26201 61.08871 62.71523 62.00739 63.50416 63.57939 62.87554 60.94421 59.11136 57.46606 56.27753 53.41278 54.16667 43.47672 45.93344 47.74906 49.12686 50.37871 51.37857 51.75097 52.36243 52.29299 51.95330 51.63934 51.18890 50.38497 49.51054 48.61822 47.17727 46.73625 46.05920 45.36199 44.28513 42.59936 41.52076 40.52008 40.02859 38.27860 36.12412 33.27338 33.19672 31.40327 29.96032 30.95238 29.43417 30.80495 31.64983 32.80255 31.64179 32.05009 32.55814 32.08806 31.71642 31.61345 31.39535 31.65722 33.25833 34.59848 36.42328 37.99847 39.29501 40.47107 41.20421 41.78234 40.92201 39.85169 38.13215 35.59841 33.04239 31.25000 29.67497 28.46845 29.66164 30.94805 32.47803 34.92929 38.03650 40.04684 41.71200 44.16121 44.76923 45.24970 43.27731 41.41689 40.23204 40.18227 40.52443 40.53691 40.36697 39.00709 39.11290 38.49315 38.73874 42.76527 42.77778 50.00000 54.61538 58.24742 62.79863 65.32847 69.61131 69.89796 75.08197 77.79553 75.48077 77.06422 76.49573 74.37859 73.85159 74.19355 74.78632 72.43767 70.15810 68.97233 69.31590 69.52663 69.47262 71.42857 71.42857 71.38672 71.06164 70.04950 68.96272 67.27749 68.03279 65.36313 65.48536 63.95349 63.29942 62.44344 62.82051 63.76147 63.41282 63.55556 61.32979 61.17711 59.21053 57.15736 55.56128 53.58255 42.71429 44.91356 46.86586 48.91610 50.69781 52.12766 53.25391 54.49836 54.02480 53.49863 52.65460 51.37083 50.07966 48.84721 47.72179 46.18540 45.80014 45.63403 44.98457 44.80370 43.99478 43.43704 42.29107 41.01604 38.18493 35.40031 30.35420 26.82039 21.99017 20.12295 18.64865 18.54839 19.52715 20.74627 22.04611 23.43612 25.10373 26.25392 27.90476 29.22938 30.40952 30.94812 31.68937 33.62069 34.84670 36.57921 38.73574 40.22204 41.30319 42.23881 42.73793 42.20120 41.57584 40.34364 38.45959 36.72231 35.90604 35.02819 34.39663 35.35024 36.64614 38.13559 39.96634 42.15074 43.79366 45.54072 47.00438 47.40722 47.42908 47.32143 46.70502 46.36804 45.30612 47.54601 49.29412 45.54455 45.78652 45.89474 45.61170 46.02941 45.29781 47.88732 48.36364 57.39437 60.89965 61.11111 62.72085 67.52577 69.63087 73.88535 74.14861 75.33784 76.55738 77.58065 73.70572 75.31969 74.51220 74.36975 74.93188 73.14126 71.94444 73.54260 75.22124 75.22422 75.77093 75.73222 75.86207 74.87179 72.96417 71.07438 71.54255 70.49180 69.75881 67.05069 66.09642 63.75740 64.28571 63.12217 63.16614 62.90801 63.75358 62.51241 62.36663 60.38576 58.48007 56.13701 54.92048 41.52143 43.50252 45.40974 48.19696 50.61038 52.53731 54.14453 55.77529 55.15996 54.13336 52.96364 51.09585 49.36629 48.03908 46.95540 45.67244 45.58968 45.24107 45.15021 45.43296 45.46178 45.19438 43.84449 42.31395 38.84243 34.17178 28.95257 23.50033 16.89373 13.26747 12.10780 10.85336 12.12500 12.82421 14.31970 17.27516 19.48936 22.02769 24.74950 26.99681 28.30688 30.12048 31.78385 33.45221 34.90405 36.93477 38.81789 40.39084 41.66338 42.66113 43.40606 42.81097 42.32151 41.46837 40.07442 38.82570 38.49213 38.53974 38.80305 39.81601 41.31343 42.77854 44.25234 45.91058 47.10843 47.67715 48.84080 49.13204 49.64264 49.69346 49.68421 51.12782 51.95087 50.98468 51.52672 51.88172 52.09581 51.31291 52.46575 49.09910 48.12500 52.70758 52.25564 56.49819 61.82796 60.97561 64.94465 66.37324 71.35417 72.35099 70.73955 73.65591 77.85714 78.22300 75.23364 74.48071 76.49573 77.04918 75.70093 75.64103 75.94937 77.58985 78.10219 78.58911 77.20764 78.98089 77.32794 76.47059 75.35211 72.93814 72.89474 71.35231 70.62500 68.53933 67.04000 65.97222 64.27492 63.28012 62.75510 62.40064 62.19158 63.03191 62.99505 62.10654 61.07955 59.00751 57.37265 40.63404 42.35108 44.10202 47.31392 49.93837 52.32399 54.39177 56.51840 56.25311 55.39970 54.41032 52.26548 50.27397 48.77922 48.04441 47.24615 47.21223 47.68429 48.00000 47.75000 47.58969 46.99374 46.30480 45.85091 42.78034 37.75982 31.98992 27.35192 20.73864 15.87629 14.35860 12.71051 12.80890 13.70579 14.46414 16.61881 18.41004 21.13055 23.03852 25.49153 28.38346 29.84663 31.35593 32.78195 33.95539 35.59322 37.38486 39.11890 40.76501 41.97279 43.09509 42.68420 42.04231 41.55159 40.57547 39.60587 39.87972 40.52734 41.39035 42.71602 44.35776 46.14116 47.80666 49.24661 50.00000 50.00000 50.19828 50.65258 51.09562 52.30769 53.35196 54.75997 55.57143 56.80000 56.70927 56.83544 58.00562 58.53293 56.90789 55.10204 55.83039 53.87454 54.61538 56.94981 61.08949 63.11787 65.88235 69.39163 68.19853 71.75573 71.18959 75.70093 76.06707 73.89381 74.22096 73.14050 74.06417 73.53723 73.19588 74.60938 75.32468 75.45692 75.49261 75.81047 75.60976 73.64865 74.13043 72.48521 71.22642 70.24030 70.52023 68.85880 68.78613 68.36207 65.87031 65.64570 64.77833 63.20755 62.34004 61.18644 62.95455 63.33333 63.18548 62.84722 61.75799 60.00776 58.11823 41.16763 41.82727 42.56787 46.00887 48.97706 51.85330 54.45378 56.93266 57.17931 56.70974 56.08829 53.57417 51.31306 49.68225 49.09686 48.45457 48.64106 49.04291 49.33921 48.92885 48.50703 47.95654 47.58532 47.10197 44.53156 40.72533 36.48026 32.11781 26.25728 21.93141 20.49669 18.55394 18.49148 18.41473 18.55628 19.82314 21.35076 22.63969 24.22566 25.58864 27.61480 29.55402 31.46752 32.14657 33.19027 34.31122 36.07461 37.34602 39.48215 41.59281 42.89827 42.42254 42.01358 41.17952 39.95736 38.36234 38.75553 39.60151 40.45783 41.86365 43.43318 45.38777 46.95990 49.49972 50.19621 50.75485 50.37688 50.80894 51.45161 52.75109 54.17007 56.84358 59.51860 61.57407 61.79775 60.02907 62.34177 61.84211 60.41667 58.33333 60.03521 61.02941 58.88889 60.03717 62.96992 63.83764 65.00000 69.81132 70.80292 72.98851 71.35036 73.00613 72.25519 74.78261 72.20670 72.01087 72.40000 71.19565 72.98387 72.95082 73.77049 76.54494 73.41270 73.04582 72.28117 70.74074 68.66029 69.57965 67.62821 66.66667 66.01307 64.25486 65.48387 65.39235 64.55446 65.87591 65.43321 64.45783 63.63636 63.09298 63.47754 61.93370 62.45000 61.45354 60.55209 59.31593 57.38636 42.24675 42.23687 42.54634 45.38406 47.50665 50.25063 53.52155 56.52805 57.59813 57.84986 57.94993 55.61885 53.43674 51.66667 50.34461 49.42577 49.21615 49.41642 49.53344 49.10959 48.60661 48.03187 48.24708 48.13869 47.35152 45.12375 42.38861 40.03953 36.78108 33.44262 32.46367 29.81904 28.20513 27.90541 26.85835 27.09924 27.65517 27.06817 26.59874 26.83246 28.22289 30.12939 31.92461 31.79461 32.46287 33.25522 34.35521 35.43181 38.23456 41.18144 43.09392 42.64706 42.14747 40.70871 38.14338 35.42239 35.44609 36.24313 36.93234 38.32354 39.84430 41.80690 43.99760 47.31154 49.41061 49.04996 50.13453 50.33064 51.40735 53.15126 55.25773 57.77027 58.93782 60.95506 65.87031 62.70358 66.25874 60.38062 63.33333 61.70213 63.34520 62.50000 63.16794 64.77273 64.82890 68.89313 69.24528 68.54545 71.42857 71.20141 72.47387 71.93878 73.07692 73.07692 71.42857 70.67308 71.63462 72.00599 74.84940 69.29134 73.04582 72.47956 72.69231 69.14063 69.04145 68.24818 66.94712 66.62896 65.23179 66.11842 67.14286 66.70040 65.75758 65.52734 64.53488 65.28662 65.22199 63.66397 63.27684 60.66946 60.73394 61.06250 59.96622 59.56790 58.21114 57.43440 56.12550 43.47301 43.00670 42.99217 44.60106 45.84605 48.08665 52.26463 55.88990 57.85890 58.51671 59.41310 57.48470 55.49332 53.63649 52.07879 50.70035 50.26221 50.27985 50.21892 49.90986 49.35509 49.27885 49.59976 49.90335 49.52009 48.55530 47.28507 46.32224 45.02835 43.34551 41.97609 39.44611 36.97789 36.06933 34.17808 33.16116 32.98755 31.66779 31.18241 30.59299 30.81937 31.11179 31.83627 31.49920 30.96182 31.67331 32.01874 32.15500 35.35541 38.52157 40.64639 41.28753 41.77835 41.12903 38.67021 35.84799 34.66568 33.99270 33.85294 35.28163 37.16814 39.30995 42.00139 45.71817 48.01153 49.24188 50.74331 50.87255 50.44248 51.54839 53.59281 55.97134 58.46561 59.13462 61.95652 61.97719 65.00000 65.06024 63.63636 65.51724 65.39924 63.99254 64.55224 66.72862 68.26568 69.30147 70.00000 70.96774 72.02797 71.95122 71.64948 72.95918 70.94156 74.03846 72.04473 72.59615 72.38095 71.17647 73.52071 72.20779 74.14248 73.53723 70.84367 70.35176 68.28358 65.95745 65.52941 63.69710 64.93363 64.23841 66.32444 65.98361 64.25620 64.10000 63.00403 62.69488 63.97727 62.61062 61.87500 60.41667 58.79397 57.01357 57.35294 56.09940 55.12821 55.02793 55.21558 43.18587 43.28165 43.12882 44.32707 45.51580 47.34361 51.52838 55.12025 57.27674 58.82353 60.19272 59.00765 57.46965 56.07870 54.51340 53.11342 52.51372 52.19756 51.72612 51.65154 51.54950 51.60054 52.08297 52.37110 52.47132 52.29759 52.03534 52.68595 53.08515 53.25926 50.94937 47.98658 44.82379 43.17282 41.01671 39.55172 38.13559 37.10359 35.97701 35.86957 34.05316 32.77603 31.66280 30.76104 29.78723 29.30801 29.31864 28.83339 32.34788 35.53640 37.84824 39.46040 41.25637 41.42671 39.58512 37.05971 34.60534 32.48130 30.65200 32.71451 34.68940 37.03755 40.03690 44.52174 47.21284 49.11439 52.10811 51.56154 49.55752 49.12863 52.26415 54.38596 57.11340 60.60071 62.22222 61.49425 60.34483 62.79070 67.05882 64.77273 65.78947 66.09195 65.90909 70.14925 69.49458 73.28520 76.43678 76.60377 75.40323 76.50602 75.98425 74.61832 73.62637 73.03571 72.33010 71.63009 71.17117 72.70030 72.43402 75.69061 74.52316 72.82609 71.09974 70.05141 69.51531 68.46154 66.70886 68.51852 66.91176 66.38350 65.19397 66.16379 65.85903 63.24503 63.82022 63.75267 62.28448 61.17021 58.38150 56.41264 55.08021 55.93081 55.10638 54.66387 53.68755 53.98749 53.14197 42.75076 43.15371 43.41129 44.56316 45.66939 46.97538 50.84016 54.12104 56.63418 58.71817 60.40652 59.95661 59.26518 58.42123 57.18085 55.96288 55.16071 54.42838 53.97026 53.93725 54.15003 54.18257 54.77400 55.42301 55.98649 56.83866 57.37860 58.40470 59.31566 59.06323 57.37813 54.53195 51.36437 48.69942 45.63901 43.69115 41.79931 41.01480 39.96154 39.02439 37.32106 35.15027 33.59375 32.13583 30.61267 29.41399 28.95047 28.58642 30.23324 32.10808 33.44987 35.66147 37.86807 38.66048 37.92126 37.44053 35.72694 34.02975 32.45781 34.43361 36.68187 39.06297 41.33739 45.14536 48.09322 51.62037 57.63006 56.42202 55.02681 53.61736 56.93161 57.26744 60.01965 64.28571 63.59060 69.95968 68.23529 70.23810 71.17647 73.71542 73.80952 73.45679 71.77419 74.69880 72.17899 76.26459 77.73109 79.37500 77.89256 76.74419 77.48092 73.86364 73.16176 71.35231 70.40816 68.81188 70.60703 70.45455 75.59880 72.60274 72.35772 72.92225 69.50000 69.25926 69.15761 68.64865 68.15981 66.90141 66.78322 66.24424 66.94045 68.13525 67.57322 66.35220 64.90486 63.12127 61.44578 57.73810 56.30713 52.92553 52.86458 52.67857 51.58610 52.48756 52.82797 53.40642 53.89764 42.25264 42.88949 43.58148 44.84637 46.20743 47.72449 51.02065 53.85696 56.10200 58.00314 59.61214 60.25180 60.46565 60.70798 59.98428 59.11560 58.34852 57.47826 56.75234 56.65160 56.85137 57.02312 57.79652 58.65917 59.87169 61.43037 63.43186 64.47103 65.39235 65.45882 62.76732 59.65485 56.32754 52.79851 49.08333 47.55814 45.80897 44.59640 43.32839 42.29378 39.57916 37.78163 35.24461 32.99857 30.95335 29.74170 28.97306 28.16355 28.50105 29.25371 29.89329 32.38850 34.71192 36.05876 36.36558 36.83155 36.25443 35.23443 34.21626 36.26734 38.43683 40.59156 42.81513 45.66787 48.42623 52.98295 59.92647 59.71954 59.17120 58.34783 58.38509 58.56164 63.78924 64.78102 68.22917 71.42857 76.40000 77.27273 79.76190 79.63710 74.60000 74.89627 75.62500 76.54321 78.80000 79.76190 79.61373 82.83262 82.60870 76.78571 75.39370 75.80000 73.92996 71.34831 70.81851 71.28028 70.72368 71.97452 70.76923 72.45509 70.31700 69.97167 70.73171 69.49602 68.30239 72.34043 69.63351 68.88889 67.19512 68.20388 65.03132 66.91023 64.61233 62.74704 64.10000 59.68689 60.37549 58.56299 55.19231 54.26136 52.01681 51.68000 52.29358 51.46036 53.20427 53.22581 52.27273 41.87121 42.71349 43.22901 44.73762 46.37335 47.90604 50.95401 53.36474 55.31001 57.17192 58.49883 59.87770 60.76255 61.72058 61.24651 60.81710 60.09064 59.39174 58.58900 58.61537 58.72629 59.00971 60.04836 61.37525 62.63542 64.03612 66.12858 66.57591 67.15559 66.96315 63.64993 60.98726 57.67947 54.45705 51.09244 49.65096 48.24675 47.49332 46.17904 45.03954 41.57191 39.16315 36.34120 34.25373 31.96539 30.36145 29.49203 28.98322 28.93401 29.46086 29.45165 31.10067 32.56074 33.67094 34.46024 35.41572 35.55626 35.33654 35.46069 37.46269 39.84544 41.73070 43.48528 46.06932 48.82751 53.01291 58.68263 59.27688 61.02941 61.76471 62.41007 58.55263 62.50000 69.62025 69.20000 74.00000 77.69231 82.06107 76.78571 80.68182 79.31818 81.50685 82.04545 79.85782 81.13208 84.12322 79.86425 79.86425 80.80357 76.11336 73.30677 70.40000 67.44186 68.25095 68.95911 66.78700 69.63087 71.14754 70.94156 70.51672 72.56637 70.31700 71.91977 71.30919 70.67568 68.15789 70.92105 68.66197 68.56796 68.75000 64.16838 63.96761 64.21663 61.42857 62.33270 59.83146 59.21788 57.47232 55.44465 54.56989 54.90196 51.39752 52.70677 51.86981 51.39257 52.43243 51.76471 41.95289 42.37372 42.91680 44.05573 45.76900 47.30769 50.27259 52.56228 54.47514 55.82185 57.21860 58.75695 60.48048 62.01178 61.97143 61.88327 61.60121 61.02314 60.25725 60.19646 60.45604 60.80367 62.16689 63.89610 65.23810 66.42729 67.68440 68.70528 68.57639 67.45081 64.58333 61.44860 58.07754 55.07284 52.41028 51.08213 49.72359 48.96030 47.20497 45.28044 42.64516 39.66725 36.94250 34.84701 32.60493 31.55112 30.13842 29.13560 28.83663 28.87941 28.83101 30.05396 30.92759 31.85446 32.91739 34.04682 34.81792 35.00914 35.93904 38.29016 40.44484 42.09928 44.28345 46.81859 49.19743 52.49653 56.39432 57.70799 60.17223 61.18785 62.09677 63.01887 63.36032 67.50000 74.67532 73.92241 77.16049 79.16667 78.47222 81.79724 81.65138 83.40909 81.08108 82.03883 82.92683 80.58252 80.42453 77.20930 77.14932 76.05932 74.69136 70.53942 66.73307 68.37945 68.02326 68.53933 72.71127 69.96587 69.93355 68.39623 71.36223 71.68675 71.74556 72.54335 72.47839 71.84874 69.67213 69.19431 68.13953 68.50220 65.45064 64.55696 62.71676 61.36364 59.84991 60.09091 58.34829 57.19178 57.44863 55.04202 53.93443 52.38854 52.79070 51.65062 51.20000 52.27538 51.92308 43.25598 43.43684 43.45361 44.21543 45.77194 46.85282 49.01933 50.90385 52.52994 54.51153 55.94215 57.69701 59.31695 60.90754 61.37335 61.42857 61.46927 61.14650 60.71600 60.97679 61.37620 61.92742 63.15556 64.24132 65.39293 66.35760 67.17998 67.27889 66.68667 65.40149 62.24340 58.51064 55.72399 54.21822 52.69253 51.60237 50.96401 49.70684 46.90818 44.37961 41.92510 39.89726 37.66026 35.48162 33.79237 32.07080 30.38365 29.15946 28.53836 28.21590 28.03372 29.02174 29.87838 30.79803 31.59948 32.68957 33.42798 34.08348 35.25676 37.49576 39.89609 42.47415 44.99179 48.12388 50.09927 51.97080 54.37136 55.32860 55.96234 56.20301 58.44371 60.87420 61.38211 62.66234 64.44444 71.32701 74.64789 75.56054 77.80172 83.26360 82.89474 84.71616 83.62069 81.81818 83.41969 80.46875 75.12315 77.00000 72.91667 72.39819 72.46696 71.80617 71.61017 67.07317 69.23077 69.29461 71.42857 67.67677 67.21311 68.99351 69.58599 70.56075 72.97297 71.80233 68.45550 69.84733 69.35484 69.04762 68.21192 64.68085 64.61039 64.27061 63.14741 60.79767 60.34483 59.05861 59.49033 56.62188 56.85714 55.84416 53.57711 53.05643 51.59091 51.63265 51.99468 52.04778 51.51856 45.05433 45.11704 45.29076 45.52860 45.99064 46.08065 47.50529 49.02487 50.39841 52.36304 54.46965 56.17893 58.04774 59.72584 60.62104 60.86122 61.38587 61.29119 61.28426 61.53217 62.21463 62.79542 63.67754 64.55007 65.07639 65.62119 65.58711 64.85149 63.93581 61.92870 59.20852 56.12245 53.76963 52.95995 52.14925 51.27350 50.68404 49.50723 46.53342 43.94495 41.05786 39.13793 37.48126 35.54545 34.19006 32.30140 30.35406 28.94400 27.95661 27.32068 26.77440 27.12254 27.57240 28.17318 28.77464 29.51775 30.48708 31.38173 32.75637 35.07463 37.83599 40.80717 43.79458 46.96734 49.00662 51.82134 53.44986 53.50719 55.06757 55.32258 55.43624 57.26979 61.51575 63.20000 66.83168 72.76786 69.19431 76.55502 76.26728 81.47321 79.34783 78.79464 84.77273 78.75648 80.31915 75.53191 80.62827 74.87047 75.24038 73.94366 72.29730 72.00000 70.60086 69.37500 71.33621 69.29461 70.45455 71.13402 68.37748 69.43522 69.41748 69.64856 71.16564 71.75227 69.10569 68.60158 68.07692 68.09745 67.26862 65.75492 65.49451 66.12903 62.87425 61.91860 61.14286 59.25234 59.90826 57.06215 55.51471 54.06872 53.25000 52.95567 51.43084 50.88889 50.86455 51.18377 50.65359 46.87500 47.11212 46.90380 46.98167 46.65855 46.30816 46.93487 47.74368 48.67860 51.76194 54.59671 57.10582 59.11263 61.29609 61.58482 61.60811 61.59593 61.21849 60.94215 61.11715 61.67231 62.58089 63.12015 63.42085 64.10042 63.10874 62.68713 61.44431 59.65834 57.51773 55.32956 53.02067 51.63934 51.66960 51.63537 50.73394 49.17025 47.52898 44.91055 43.48220 40.92219 38.88588 36.41221 34.90960 33.81862 32.41424 30.42548 28.53935 27.09047 25.79429 24.51955 24.38090 24.03400 24.01108 24.44299 24.93113 25.68176 26.76991 28.31132 30.73684 33.05861 36.82361 39.71820 42.50646 46.65775 50.28763 52.56167 53.11653 53.48537 53.46051 53.48485 54.23251 58.43621 65.07937 72.89294 72.17899 75.00000 72.46377 76.81564 73.26203 77.90698 74.86188 74.72527 68.25397 75.13514 78.02198 76.37363 72.58065 77.27273 71.73913 71.62791 74.00000 73.92241 70.28689 71.42857 73.49398 74.44444 72.74368 72.41993 70.72368 69.41748 70.60703 70.51672 71.55689 70.00000 68.90411 68.20580 68.19307 68.88620 67.25664 66.27660 62.75304 65.44118 62.39919 62.05882 59.55056 59.30657 58.56354 56.96429 54.72855 53.81356 52.62739 50.92450 51.30435 50.41958 50.97087 50.92213 48.98568 48.77432 48.85758 48.43982 47.24026 46.47121 46.57143 46.64537 47.39755 51.54381 54.94934 57.67702 60.16827 62.47637 62.75000 62.31968 61.76471 61.29371 60.57047 60.27094 60.83494 60.98485 61.43966 61.68994 61.74888 60.61668 59.18836 58.10978 56.47007 54.61648 53.31045 52.18447 50.75251 50.35672 49.36015 47.26942 46.32803 44.57177 42.63432 41.79820 40.12412 37.39635 35.87409 35.61834 35.13971 34.36782 32.46809 30.76619 29.15806 27.43541 25.77207 24.59677 23.43358 22.67276 22.87193 22.96606 23.99707 25.15854 26.82793 29.03127 31.15072 34.36740 36.98502 40.74605 44.01381 48.39858 51.94085 55.66038 56.30000 57.87879 57.13287 57.04846 60.82474 65.10539 69.17614 73.61702 80.78947 82.02247 79.16667 82.68156 75.96154 75.15528 76.16279 73.27586 73.14286 72.28571 77.65363 73.90110 73.36683 71.11650 74.17062 77.08333 77.33333 73.41772 73.65145 74.79839 75.09294 74.36823 75.71429 71.78218 73.86364 71.96262 71.23077 72.01835 69.65812 68.53933 68.90411 69.28021 66.33663 67.42597 68.05252 65.21739 64.52632 63.30645 61.56069 62.19963 58.77660 56.86620 55.67010 55.29412 54.40457 52.90323 52.21566 50.86331 52.09790 51.21786 51.53453 49.09566 49.23016 48.78237 48.97689 48.11251 47.39696 47.32984 47.82609 48.24033 52.63864 55.89958 58.52000 61.00810 63.30676 63.34630 62.96389 62.60504 61.59700 60.41509 59.62692 59.49890 59.07155 58.88594 58.75942 58.06723 57.25646 55.63158 54.59127 54.13243 53.43035 52.44686 51.55602 50.16155 48.49469 46.66065 44.73214 42.98401 41.56522 40.57810 39.90228 38.00928 36.73902 35.42390 35.32819 36.04119 35.87513 34.29278 32.74665 31.63343 30.06382 28.04114 25.82435 23.75353 22.20416 22.02941 21.71455 22.67307 24.09091 26.05939 27.44131 29.67181 31.36483 33.53535 37.16952 40.60018 43.72247 48.88337 52.63158 56.93642 60.28571 59.35780 61.60072 62.99213 65.55556 69.49153 78.44828 82.30769 85.79545 89.94083 87.50000 82.29167 74.19355 69.56522 71.30178 71.05263 69.07514 73.26203 71.09375 71.10553 70.38835 75.11962 74.64789 76.14679 78.04348 78.99160 80.48780 78.26923 74.35424 75.45126 75.95156 75.59727 73.18612 73.11321 70.89783 72.13855 72.59036 70.61404 68.65285 68.56061 66.47196 67.07589 63.92405 62.42236 64.04382 61.29944 59.98152 59.04255 56.35593 54.66448 54.84653 53.76176 53.70370 51.68539 51.45228 51.84679 51.50838 51.74973 48.84287 49.27971 49.46913 49.53596 48.75000 48.05267 48.49893 49.27260 49.69809 53.56238 56.86509 59.38840 61.45166 63.39432 63.61761 63.20032 62.71942 61.49691 60.13186 58.89345 58.29123 57.42620 56.79245 56.46936 56.05279 55.53247 55.24140 54.85220 54.43383 54.34333 53.69256 52.46514 50.62860 48.53659 46.20146 43.64407 41.14301 38.54778 38.13797 37.77658 36.51431 34.01970 32.52427 32.79483 33.29161 33.21416 32.88847 32.73056 32.33094 31.31936 30.05540 29.44656 27.60030 27.04208 26.72492 26.22735 26.47702 27.04829 27.85978 28.53338 29.14692 30.08381 31.36542 32.74336 35.51198 40.64449 45.64165 50.50676 56.38298 61.37184 62.29508 63.98714 66.89420 65.24590 72.12230 78.43602 86.48649 90.35088 90.98837 96.98795 86.24161 82.48408 80.36810 78.18182 73.21429 74.85207 72.65625 75.64767 70.14925 73.30097 73.34906 74.88479 74.66667 75.00000 75.31646 76.43443 76.50602 78.71094 75.47170 74.82759 74.57338 74.28571 73.51097 71.42857 72.01835 71.29909 70.91988 66.14173 67.87565 66.94712 64.82759 62.28448 60.73684 62.02405 60.82164 60.20221 58.62369 55.68369 54.27892 54.44618 53.37331 52.65879 53.28317 52.84168 52.57256 52.17149 51.11821 48.95148 48.66288 48.80287 48.87972 48.89277 49.13958 49.88743 51.10011 52.31183 54.97947 57.48288 59.70919 61.30315 62.66756 63.04129 63.03815 62.64208 61.22047 59.80854 58.36930 57.10383 55.89727 54.81696 54.40767 53.75696 54.31988 54.84243 55.10285 55.60876 55.36491 54.48454 53.48176 51.35678 48.50079 45.53473 42.42849 39.23328 36.31922 36.25566 36.06911 34.04412 32.02033 30.14870 30.82865 31.40625 31.68933 32.59985 33.25781 33.72064 33.59551 33.38594 33.32785 33.14777 33.35965 32.92501 32.77930 32.67885 31.84489 31.51659 30.97103 30.59211 30.02937 31.02914 30.99030 34.69880 38.51508 42.27642 47.63780 52.64317 56.94444 65.58442 70.12987 72.36842 75.10204 77.33051 76.28866 86.62791 92.59259 94.27711 91.96429 92.12329 92.43421 90.38462 83.54037 79.26829 75.73964 79.03226 78.42105 72.08122 73.01980 74.88152 71.23288 73.89381 75.86207 75.31646 75.71429 75.90361 76.95312 75.66540 72.52747 71.96429 71.21711 70.58824 68.38710 69.42771 67.96407 67.26343 65.78947 64.10891 64.06250 60.71429 59.78261 59.87261 58.36653 57.75348 56.37708 57.09282 55.25000 56.26003 54.68019 54.27286 53.32349 54.44288 54.40559 53.71389 54.43445 52.23881 49.06015 49.31959 48.96384 48.61111 49.52343 50.47022 51.50347 52.72109 53.88457 55.62566 57.32673 58.83182 60.34785 61.54830 61.99147 62.06478 61.85297 60.32110 58.94231 57.13058 55.70254 53.70768 52.72878 52.11682 51.07356 51.75644 52.62953 53.57143 54.31955 54.61538 53.90390 52.55350 51.21335 48.88238 46.18785 43.61521 40.21944 37.15655 35.62654 34.79730 32.46154 29.68176 27.59292 28.45518 29.60356 30.43478 32.69678 34.62700 36.07260 37.19206 39.10078 40.09585 41.05834 42.16590 42.25378 41.97238 40.72319 39.62430 37.29236 37.22488 36.45714 35.70470 37.46973 39.25562 41.45570 47.26508 52.85714 57.56303 64.44099 67.53247 73.37662 73.92241 76.26459 80.35714 77.71084 81.53846 90.67797 89.20455 92.07317 95.73171 96.87500 93.23529 95.08671 92.46988 83.62069 79.32961 81.45161 75.78125 68.65672 71.21951 70.42254 71.13636 73.02632 75.44643 73.51695 75.30864 76.05932 77.89256 74.69880 73.65591 70.52632 70.15625 70.83333 70.37037 69.26230 68.39237 64.87936 63.15789 61.85185 60.25943 58.92449 58.15217 58.01282 58.46774 57.21443 55.27778 55.48780 54.95050 54.68750 53.66412 55.76923 55.24781 55.64067 56.88456 55.55556 54.06452 53.81679 50.34642 50.27360 50.40504 50.59973 51.37976 52.07164 52.73189 53.67068 54.43679 55.55346 57.12291 57.86901 59.30266 60.20151 60.84083 60.94714 60.77919 59.51157 57.72480 55.91657 54.16985 52.00803 50.33352 49.21655 47.88557 49.63024 50.74135 51.49750 52.00095 52.39246 51.39706 50.20833 48.74008 46.99427 44.96885 43.16198 40.28662 37.99678 36.57188 34.88509 32.47394 29.66951 27.42623 28.07297 29.08962 29.98252 33.12256 35.65615 37.70026 39.72648 42.58995 43.87957 45.45455 46.51163 46.41377 46.07916 44.93865 43.86299 42.14230 42.53521 40.62500 43.10089 44.82044 46.99499 53.13093 57.58564 63.29114 69.52381 73.97959 74.04181 77.77778 74.65753 76.64093 80.95238 80.38793 84.61538 86.17647 90.90909 94.51613 99.34211 97.05882 99.37888 96.15385 92.46988 92.35294 87.06897 85.86957 78.60825 72.61307 72.57282 69.35484 68.83408 70.77922 69.56522 74.25532 72.65306 74.37500 74.19355 75.80000 72.34043 73.68421 70.96273 70.24540 68.18182 67.43243 66.48794 64.17323 62.89926 63.07506 58.09859 58.98618 57.53275 56.71642 56.65323 55.87084 55.49451 55.66038 56.16438 57.52427 56.94888 57.53532 57.43034 56.79825 58.16176 55.85260 55.45697 53.92670 50.66196 50.98296 50.96941 51.21380 52.64484 53.40628 54.01460 54.70986 55.55772 55.94714 56.39495 56.79643 58.68215 60.11076 60.81209 60.92200 60.85800 59.41543 57.76973 55.56485 53.39954 51.08463 49.45179 48.17343 46.91382 47.67396 48.35234 48.45956 48.06775 46.86758 45.84488 44.64551 43.48449 43.01242 41.90898 41.08607 39.89599 38.60205 37.49026 36.03286 34.79421 32.04529 29.71901 29.36000 29.44262 29.93075 33.55417 36.79313 39.40043 41.93755 44.97508 45.77076 47.22311 47.55965 46.95122 46.58153 45.94027 45.84557 45.38337 46.65635 47.40954 49.83713 54.41176 58.41996 64.35407 74.20886 78.22300 81.03448 84.33735 81.20000 86.77885 85.04673 84.14634 85.65574 85.44304 89.16667 83.33333 83.43373 90.11628 95.53571 106.00000 98.18182 96.55172 100.00000 100.00000 88.26531 86.75000 81.99052 79.85437 75.00000 75.11312 72.01835 72.56637 71.90265 75.86207 72.83951 72.32824 77.06767 74.08759 73.60140 71.86441 72.68519 72.75542 70.64220 66.43258 64.08840 63.22418 64.00491 62.55981 61.80556 60.11236 59.47712 57.65957 55.74597 54.96109 56.36531 55.44983 56.95187 57.02341 57.77958 58.00628 59.56454 59.29204 58.06686 57.17391 56.14426 54.10777 50.67114 50.53004 51.24563 51.68176 52.92994 54.26065 55.42763 55.88830 56.45161 56.37813 55.97865 55.16377 57.58597 59.45946 60.63291 60.15343 60.20997 58.61124 56.63469 54.86689 52.54173 50.03988 47.97753 47.18891 45.55822 45.50562 45.42396 45.25229 43.57683 42.04658 40.91549 40.22059 39.19229 39.23739 39.56916 39.49893 39.15663 38.78822 37.97775 37.88220 37.15111 35.25763 33.16514 32.58607 32.33753 32.13296 35.27305 37.80694 39.85630 41.52367 43.55341 43.73561 44.03286 44.00186 43.36343 42.71845 43.43465 43.06358 44.65649 45.49795 47.63451 49.81250 55.68966 63.10345 73.17073 78.26087 84.33735 86.94581 90.97938 86.18090 83.99015 87.86408 87.65182 89.15663 90.40816 91.93548 89.83051 86.84211 92.35294 97.22222 94.00000 98.67550 101.26582 100.32258 98.18182 91.40625 90.70352 84.78261 80.58252 80.14019 80.13699 75.69444 75.00000 76.23318 73.81974 73.02905 70.11494 74.24812 72.52747 76.25000 71.35417 75.48077 72.38095 70.82019 67.59531 64.65517 65.50388 65.41353 63.04348 62.96729 61.53846 60.57269 57.75862 56.22407 55.48780 55.82524 56.05505 58.47603 57.40446 58.61486 60.64516 60.03110 60.45959 60.34483 58.92019 56.57754 55.01618 49.23696 49.43444 50.18664 50.55260 51.81892 52.91898 54.28236 55.38818 56.16673 56.42622 56.08319 56.02767 56.97458 57.78648 58.11195 57.55978 57.08355 55.84624 54.11184 52.17577 50.61475 48.42530 46.73913 45.28704 43.83389 42.74494 42.28085 41.21622 39.67855 38.37037 36.42032 35.56338 34.55214 36.28501 36.90344 37.57576 38.45554 38.97959 39.24692 39.38121 39.15616 37.96223 36.82965 36.27257 36.32503 36.36364 37.52128 38.94009 40.02454 40.28117 40.50454 39.93818 38.84146 38.61751 38.74012 38.65179 39.12671 40.01832 41.45647 43.07844 45.90909 50.00000 56.36042 65.61743 71.91977 83.20158 91.40271 91.20879 90.67797 92.85714 89.47368 92.76018 91.10577 93.75000 95.00000 91.78082 93.36493 92.74611 86.82635 87.50000 89.62264 90.82278 92.33129 93.75000 89.34426 94.41341 90.20619 83.57143 86.23188 82.72727 82.66667 80.41475 77.45536 72.66667 72.53219 73.22176 76.64093 73.88889 72.95918 73.15436 74.58194 72.89720 71.09375 70.15625 67.80415 65.04425 67.37288 63.78378 64.24802 60.52632 59.44310 56.99301 58.18777 55.68421 57.41445 56.55738 57.00692 59.09798 59.27835 60.79812 61.12760 60.69900 62.88089 61.86161 60.13180 58.32390 57.39679 47.39958 48.11242 48.94103 49.56826 50.85158 52.09748 53.30579 54.72395 56.10599 56.18729 56.32979 55.77118 55.94569 56.01958 56.25194 55.62035 55.27416 54.26328 53.10920 52.29691 51.00741 49.85507 48.73044 46.90126 44.84045 43.84478 42.59336 41.18421 39.29103 37.18519 35.86239 34.74951 33.59375 34.40657 34.63162 35.19563 36.10140 36.52287 36.62791 36.92185 36.92679 36.48583 35.99207 36.15833 36.34610 36.81728 37.78298 38.55607 38.65230 38.33091 37.89638 36.77551 35.54269 35.04310 35.57794 35.71429 36.58647 37.79745 40.32967 42.44604 45.89416 51.54440 58.28402 68.64407 79.18089 83.84956 96.73367 94.91525 94.73684 88.95028 94.91018 93.57542 94.64286 95.76271 95.65217 98.09783 94.59459 97.68786 92.37288 92.21557 92.33129 93.26923 86.11111 89.20455 84.67742 86.87151 83.67347 85.88517 83.08824 85.58140 82.28700 79.86425 75.54585 75.11013 75.86207 74.17355 75.19084 75.65056 74.73684 73.19588 73.26733 69.48640 69.60486 66.76737 64.82558 64.47368 62.56983 61.03542 59.10290 58.46154 57.00246 57.02128 57.36607 55.12821 57.63209 59.42857 60.00000 59.07563 59.74026 60.38062 62.16887 62.83677 63.82175 63.65607 62.38532 59.79112 59.56175 49.67742 50.19165 50.63158 50.99668 51.90574 52.90089 54.22284 55.28376 56.13189 56.35452 55.06507 54.31006 54.43623 54.56566 54.65898 54.63859 54.41095 54.14077 53.90973 53.55921 52.82214 52.37772 51.36560 49.85197 48.09091 46.35167 44.80231 42.72551 40.53156 38.26087 36.04816 34.69388 33.26810 32.53235 31.90661 31.98544 32.03629 32.49247 32.94574 33.10489 33.49197 33.74183 34.18598 34.61095 35.63830 36.38582 36.72522 36.93164 36.82402 35.88408 35.15343 33.71697 32.64909 31.88513 32.30519 32.84198 34.39505 36.50750 38.79623 41.97128 46.68203 53.35085 59.87654 73.46626 79.12088 92.23301 92.40838 91.31737 89.75904 92.85714 90.56604 100.31056 95.85987 96.49123 98.33333 99.46809 94.16244 98.12834 93.29897 91.12903 90.22346 89.28571 86.11111 81.89655 83.13953 85.45455 86.03352 79.69543 83.07692 81.25000 84.15179 78.92377 76.92308 76.11336 79.40000 77.43191 75.63636 73.60140 74.22680 72.50000 71.49837 71.08108 69.04762 67.85714 66.00000 61.50794 61.53846 56.99482 56.47208 52.60870 51.91898 52.44399 55.34653 55.50193 56.32184 57.31707 57.03565 57.26210 56.17792 55.59503 57.14286 58.74786 59.97442 61.46732 61.75115 60.63348 60.79460 51.63470 51.61360 52.23214 52.45078 53.15985 53.77742 54.52740 55.34665 55.96065 55.65299 53.74341 52.44348 52.51985 52.52440 52.81602 52.80682 52.98942 53.14885 53.07035 53.14851 53.10016 53.00362 52.69528 51.84780 50.84120 49.90276 49.12573 47.63780 45.57878 43.40753 40.49971 38.08342 35.06654 34.05594 33.21196 32.34341 32.00554 31.69156 30.94516 30.38577 29.80132 29.84645 29.93348 30.12002 30.87871 31.54666 31.67939 31.76452 32.00713 31.90766 31.87561 31.23241 30.44275 29.96638 30.98697 31.95055 32.65951 35.00920 38.23758 41.29257 46.61654 53.39879 62.85714 74.11765 84.78261 83.05085 91.17647 97.53521 102.87770 99.30070 103.71622 104.27632 107.69231 109.03226 105.91716 98.30508 94.68085 94.44444 91.94313 87.50000 87.32394 86.94581 86.71875 83.06452 75.97765 81.03448 80.16760 77.20207 74.40191 75.77093 78.51240 78.89908 81.85841 78.20513 76.82927 79.51807 74.63504 75.53191 74.91525 73.60656 70.41139 70.43597 68.15981 67.50000 65.17647 61.00917 59.22551 55.41761 54.00891 52.63158 50.57034 53.00546 52.63158 53.62694 54.99124 55.50699 55.22936 54.60751 52.94118 53.64372 51.25523 52.17391 54.48113 56.39269 58.57934 60.63830 59.47099 52.59654 52.82771 53.30739 53.77399 53.58190 54.65261 55.32002 55.47094 55.43307 54.39331 52.63252 50.45501 50.04630 49.87128 50.31746 50.55040 51.27356 51.60282 51.93658 52.20736 52.68094 52.80557 53.10299 52.78108 52.71493 52.44746 52.19486 51.56627 50.00000 48.02528 45.14780 41.89587 38.07847 36.61228 35.13674 33.61204 32.55814 31.72324 30.63991 29.23242 28.66941 28.60450 28.68156 28.68642 29.16064 29.23650 29.16531 28.72204 28.69369 29.31777 29.70217 29.36660 29.17738 28.88926 29.54545 29.81651 31.82140 33.83838 37.61468 40.97561 46.73203 53.76662 61.27820 73.68421 80.13699 89.65517 96.30872 103.33333 104.54545 107.51880 115.90909 105.98592 110.00000 111.70213 115.87838 110.75949 100.86207 97.28261 95.56075 85.84071 86.69528 83.62069 83.33333 78.39806 74.87047 75.83333 72.88136 70.38043 73.96907 73.57143 78.66667 76.68269 78.79464 82.75109 81.12033 82.27092 77.17391 77.36842 73.68421 72.96875 69.19643 69.79695 68.88620 66.73077 66.14100 64.51613 61.32075 57.33558 56.73877 54.57464 52.11268 52.97710 53.04790 52.80576 52.35223 51.09223 52.46711 49.19210 47.61905 45.36364 43.55828 44.31579 43.61055 44.62151 49.35345 50.00000 50.27985 53.15789 53.70290 54.49102 54.48799 54.60581 54.52692 54.75331 54.43262 54.35372 53.42954 51.53547 49.65023 49.30598 49.51443 49.73592 50.11361 50.55652 50.66209 50.03806 49.46664 49.90650 50.40058 51.16703 52.24367 53.72144 54.59979 55.49481 56.39432 55.67782 54.14445 52.40434 49.12713 45.51518 42.99611 40.27553 38.01115 35.98184 34.27214 33.04589 32.25849 31.48780 32.19518 32.32877 32.59452 32.69535 32.71552 31.39873 30.40283 29.77079 29.92630 30.05718 29.63899 29.32790 28.76296 29.15737 29.48718 30.61146 32.63839 36.79577 39.85149 44.92308 51.17035 56.21951 64.79592 72.34043 80.15464 91.34615 98.35526 104.16667 105.31915 105.43478 116.17647 114.12214 117.77778 112.24490 106.93431 103.35570 102.09581 98.89503 91.75258 87.12871 82.14286 80.44554 76.81159 75.25510 71.54255 69.71429 73.41040 74.43820 70.05348 72.79412 80.00000 79.72350 84.23237 81.69811 82.79570 85.03650 79.08163 77.18750 74.03561 74.50704 70.64935 71.00737 68.92202 65.25424 62.96000 60.95335 59.11765 57.06215 55.17241 53.59820 51.95498 52.87486 51.16927 50.56497 49.28023 48.02372 45.27027 44.19014 41.73838 35.74380 35.37415 32.15103 32.82710 35.00000 37.55605 41.01796 54.22349 55.08254 55.01715 54.42664 54.42827 53.91358 54.08163 53.23529 52.59416 52.01869 50.42433 49.24573 49.10293 49.37151 49.76285 49.87768 50.08197 49.54395 47.81153 46.19234 46.34948 46.96062 47.92020 50.49046 52.74341 54.39227 55.74001 57.35164 57.13040 56.63654 55.34102 52.76824 50.19582 47.08249 44.32611 41.86508 39.46159 37.55061 36.96331 36.35467 36.33299 36.64512 36.96887 37.09071 37.37842 37.38178 35.68807 33.73360 32.45115 32.22543 31.75608 31.70358 31.73108 31.84680 32.22348 32.62387 34.79730 35.82677 40.09709 42.26804 46.88119 51.57895 54.64876 60.20942 64.56311 71.34387 78.78788 87.50000 93.12500 102.34899 108.69565 111.31387 117.85714 116.92308 113.33333 111.98347 101.49254 102.00000 97.04142 91.80328 85.78680 79.71698 78.12500 70.75893 68.05556 68.29268 69.63351 67.64706 71.78771 72.75281 74.70588 73.01587 77.00000 82.23684 85.22267 86.93182 84.44444 80.30822 82.07547 76.83284 76.93370 73.28244 70.87264 68.62955 65.64961 63.11475 60.10638 58.75000 57.52351 54.40613 54.51807 51.93475 50.74415 49.47442 48.01865 46.30072 45.12761 42.74194 40.88000 39.01786 36.64384 32.42188 28.47826 25.16779 29.84055 29.60251 34.39153 55.39042 56.05263 55.51232 55.17903 54.45980 53.75462 53.74547 53.25958 52.31839 51.52428 51.13554 50.93393 51.35558 51.74072 52.03856 51.34400 50.38071 48.92365 46.31852 43.89731 43.19349 42.82547 42.65835 44.44308 45.88639 47.09461 48.97611 50.05230 51.00460 51.82847 51.71353 50.77909 50.35461 48.27377 46.58512 44.85560 43.03977 41.48995 41.32818 41.44885 41.52614 41.86623 42.14523 42.29348 42.47515 42.70696 40.67635 38.45566 36.13671 35.10509 34.13341 34.42506 35.04453 35.65287 37.11559 39.71193 41.33390 43.42532 45.60162 48.89706 52.03390 54.08922 56.25000 57.68137 59.63542 63.47926 70.39275 77.43902 82.51232 92.85714 96.87500 108.18182 110.43165 115.69343 109.79021 105.20833 101.65563 97.77070 94.73684 88.09524 80.14706 73.54260 66.81034 67.03057 64.10256 66.19718 65.36585 69.32990 66.21622 67.69663 67.34104 66.01124 68.15789 81.83962 81.68103 83.46614 84.50479 86.16071 83.20313 84.10758 80.00000 77.82805 74.06250 70.25440 66.13757 63.40125 62.03105 60.21940 58.01887 55.48936 52.61283 51.09199 48.39522 47.03633 46.25293 44.84029 43.80665 43.80165 42.83708 42.03125 39.17836 34.82293 29.65116 26.94805 27.08333 26.72956 31.12245 57.07547 57.05413 56.29371 55.22356 54.69345 54.03393 53.77588 52.91667 51.85974 51.07628 51.81053 52.44594 53.08553 53.55773 54.19616 52.65668 50.81008 48.62721 45.47826 43.01075 41.39685 40.66760 39.71490 40.58542 41.48997 42.53927 43.89328 45.02597 45.92166 46.74214 47.44463 47.28112 47.86753 47.70082 48.02632 47.31109 46.31579 45.29079 45.13243 44.70235 44.56753 44.05705 43.83373 43.77314 43.57658 43.43795 42.05422 40.41731 38.79087 37.71733 36.93561 37.42016 38.63864 40.07675 42.04859 45.60669 48.07692 50.14178 52.44470 53.11688 54.74934 54.89130 54.56026 55.76923 56.17284 58.47826 60.21798 62.75660 69.10112 78.16594 82.63889 87.87879 91.48936 96.08939 101.15607 101.09890 99.45946 91.76136 85.34031 82.14286 74.75000 67.97235 65.78947 63.46154 63.86555 65.33333 64.12556 67.68868 68.38235 66.66667 65.48913 65.57377 63.35079 72.35577 79.03226 78.87029 81.41892 82.07547 83.97790 85.45455 79.78972 79.65116 75.89474 73.12139 68.52792 64.08250 61.73184 60.09615 57.03925 53.77551 51.33673 48.85309 46.09665 45.11859 43.93420 43.08199 43.40544 42.99754 43.56725 44.04762 42.82178 40.54054 35.21505 31.72888 29.97738 27.22343 30.03413 56.73552 55.96817 55.16340 53.91026 52.32509 52.15606 51.57195 51.12382 50.92343 50.33746 51.80525 52.17069 53.37254 53.96454 54.91404 53.19561 51.10656 48.76611 46.64470 44.11817 43.17041 42.63357 42.22731 42.62595 43.49725 43.26408 43.08651 42.86819 42.25760 41.67842 41.81455 42.61409 43.56907 46.20373 48.38049 50.04912 49.55538 49.49446 48.79421 47.78500 46.72770 45.68994 44.53125 43.64524 43.20458 42.96287 42.40699 41.62456 41.29992 40.63047 39.96167 41.34796 43.18182 45.37780 48.32506 52.02551 54.96867 56.43902 58.32349 58.89029 56.66267 56.00000 54.41964 53.77358 53.88199 54.06699 54.10959 56.03814 60.27397 64.03226 68.94737 75.00000 81.44105 83.80282 91.04478 88.04878 90.84158 87.70492 80.76923 75.36232 73.64130 65.51724 63.38028 58.37209 65.75342 62.71186 65.12605 65.31915 64.87603 68.43220 68.82845 65.25424 69.39655 71.32701 72.53521 70.84746 72.74194 75.00000 76.41791 82.29462 79.54545 78.23961 75.16129 69.87952 67.06282 63.85870 61.69355 59.85075 55.61548 51.86652 49.91803 47.91415 45.92030 45.98025 46.23552 46.68508 46.36288 46.62096 46.07062 46.38554 46.27329 42.73743 39.38053 35.97122 31.38425 27.57009 29.82955 55.61998 54.55466 53.50921 51.82838 50.71839 50.56417 49.86188 49.79702 49.60457 49.93565 51.11709 52.08986 53.32103 54.20561 55.11152 53.52887 51.42417 49.73001 47.58502 45.42356 44.56423 44.47283 43.97555 44.24890 44.26752 43.84858 43.06324 42.54545 41.81272 40.83414 41.05915 41.98895 42.43189 45.65916 48.27388 49.84690 50.36776 50.45948 49.75878 48.29177 46.89756 45.16219 43.30515 41.62592 40.88012 40.05484 40.49087 41.19691 41.56909 42.36425 43.08252 44.25417 46.37363 48.56961 50.86643 54.24893 56.53465 57.94206 58.93471 58.04239 56.93128 54.21822 52.35602 51.89394 52.10674 52.23881 51.45349 56.05042 58.65979 60.30806 64.31095 66.07143 67.64706 72.46696 79.25000 82.92683 84.49198 78.94737 77.90698 74.30168 70.60440 68.65285 67.33668 63.83495 67.85714 67.60563 65.47085 64.79821 66.58654 66.66667 72.09821 73.64865 71.14537 69.39655 71.15385 69.69697 70.95588 70.79646 72.13855 74.13793 71.15385 70.47146 68.06452 66.92607 62.98077 60.94891 59.37500 57.86948 54.12541 50.51750 49.04130 47.85592 47.23985 47.98055 49.17492 50.00000 50.61350 49.63768 48.36512 48.50000 48.62069 44.80652 44.66825 39.94845 35.47215 29.87805 29.28870 56.28232 54.88550 53.29013 51.68457 50.71805 50.14085 49.72388 49.32675 49.14959 49.17338 49.94000 51.30336 52.74809 53.95423 55.07147 53.56660 51.73333 49.94636 48.36217 46.48039 45.69183 45.50526 45.14426 44.66838 44.20148 43.52606 43.25976 42.71961 42.42006 41.93227 41.94774 41.99309 42.04947 44.87737 47.04797 48.96723 50.05064 50.88868 50.04513 48.58055 46.83833 44.48619 41.88766 39.89835 38.81267 37.89238 39.25165 40.51353 41.76122 43.44262 45.82966 47.76235 49.60448 51.57005 53.77698 56.38629 56.22120 58.23068 59.51220 56.99068 55.52732 54.85612 52.22973 50.75949 51.43836 53.30189 54.27046 55.81222 58.69947 60.47904 61.27168 63.72549 65.89404 68.18182 67.23404 75.54585 81.34328 81.39535 79.82456 74.85714 72.28571 69.45946 70.52632 68.55670 64.03941 68.65672 67.94258 69.28571 70.35176 72.05882 69.23077 71.42857 70.20408 73.29193 71.49254 73.50230 70.60811 70.52980 68.60158 66.87980 63.92111 59.50704 58.82353 58.03571 55.30105 55.84795 55.31161 55.16035 52.24806 49.78693 49.63145 50.25467 51.35135 52.88684 54.39883 55.33742 54.01460 52.65096 50.24311 47.79736 45.70747 43.85776 40.71101 39.15663 35.15152 32.77662 28.06324 56.30187 54.49924 53.59820 52.05479 51.07862 50.63440 50.27650 49.73058 49.60784 49.05143 50.64833 51.75055 52.49660 53.78767 54.69705 53.61264 51.84938 50.25351 48.62261 46.45092 45.11777 44.04937 42.92267 42.82063 42.30390 41.99179 42.12062 42.17197 42.45562 42.25709 42.30010 41.78332 41.52738 42.87926 44.89203 46.58072 47.86296 48.98148 48.83854 47.54416 46.92011 44.83668 42.93807 41.45058 40.56277 39.59406 40.02156 40.65373 41.55827 43.21016 45.63183 47.10495 48.96631 52.53046 54.10108 56.26781 58.06112 58.37379 59.09091 58.33333 57.23938 55.10397 55.48077 52.74725 54.98047 55.95463 56.49485 58.72483 62.12121 65.16854 63.42593 66.38225 67.51825 73.22176 74.88152 75.36232 78.65169 83.22785 83.33333 80.19481 78.12500 73.96450 71.30682 69.94220 73.14286 67.39130 64.65116 65.75342 70.79208 70.81340 69.82379 70.71130 71.34387 73.73737 76.83706 75.47945 77.52660 77.41514 73.02158 69.36620 64.50617 59.17782 56.61765 53.97644 51.79211 52.16802 51.50905 51.26689 50.38660 49.27184 49.76744 52.05105 55.62293 56.40478 58.05038 59.15395 57.48960 52.26131 49.46903 46.50621 42.59554 42.02454 39.83573 37.31501 36.31485 33.14917 29.03543 54.40722 53.65297 53.30000 53.10345 52.60996 52.20588 51.74014 50.87996 51.18214 50.89134 51.69393 52.02199 52.93542 53.84100 54.32558 53.55613 52.13015 50.41330 48.38373 46.11026 43.90089 42.49345 40.57003 40.43438 40.25111 40.75501 41.34897 42.25146 42.78426 42.96520 43.38677 42.70633 41.55722 42.25917 43.02001 43.68952 45.74627 46.85942 47.19501 46.96292 46.87440 45.42039 44.15449 43.02076 42.41620 41.56682 41.25977 41.18887 41.69425 43.08901 44.52941 46.51877 49.09716 51.55925 53.29973 56.39293 58.60092 58.83508 60.38136 60.27837 59.06040 59.95423 57.85714 57.48219 57.81638 59.83607 61.65414 60.99476 61.93182 63.76147 66.61074 71.50735 69.84436 70.51282 76.21359 78.07882 80.68182 83.96226 85.23490 84.76821 80.37975 82.60870 77.67857 77.77778 69.07514 72.08122 67.30769 67.60563 71.10553 64.15094 71.23894 71.07438 72.64151 74.45141 76.16279 78.58911 82.14286 80.68966 77.38854 73.86364 66.69811 60.20408 56.55977 51.57480 48.87460 47.61506 47.08171 47.16981 47.68489 49.33544 50.72414 53.43699 56.65680 57.51445 57.75240 56.72938 55.83573 50.75000 46.37462 42.64931 38.53211 38.48263 36.33929 34.75499 34.18278 32.66055 30.60606 54.12344 53.91304 53.47257 53.49356 52.99416 52.57757 52.38429 52.05292 51.79362 51.87177 52.31317 52.10205 52.86561 53.52887 54.26640 53.93120 52.48843 51.00729 49.47174 47.30318 45.55256 43.70723 41.39803 41.24210 41.81937 42.65049 43.69287 45.07748 45.94780 46.23623 46.58672 45.74468 44.37257 43.41551 42.78764 42.17863 43.54550 44.52002 45.46980 46.24727 46.79213 46.13985 45.75726 44.90914 44.33622 43.88689 43.24491 42.43189 42.17391 43.14185 44.39626 46.07390 48.78488 51.28068 54.18904 57.20288 60.43307 61.61790 63.23529 63.86322 64.29961 63.10976 62.99766 61.12440 64.19437 63.39950 65.00000 67.52137 69.04025 71.35762 71.61017 70.27027 76.94175 81.74603 79.14286 87.03704 85.06494 85.52632 94.48276 92.41379 85.84906 84.96933 74.10714 78.57143 75.56818 69.53125 71.53846 68.38235 71.21951 67.20183 67.78656 68.95911 70.17241 74.08027 75.62112 79.07303 78.05195 79.62963 80.00000 78.01418 71.10927 65.57864 60.33835 54.11765 50.65005 48.21429 46.70446 46.01684 47.32143 48.47251 50.90566 53.59540 56.84932 56.32432 56.37887 54.87445 50.83799 47.20930 43.18182 39.98609 37.17241 35.49180 35.02415 34.31373 34.76190 34.62810 31.42077 54.40252 54.50078 53.96947 53.98297 53.09278 52.95815 52.75424 52.48619 52.76156 52.95534 52.97330 52.25854 52.21625 53.48082 54.46302 54.03443 52.98216 52.11115 50.46334 48.58563 47.14765 45.24390 43.26107 43.25664 43.58974 44.67077 46.68235 48.06867 48.55977 48.84319 49.51330 48.34254 47.98444 45.80000 43.58238 41.82135 42.08970 42.04880 43.00323 44.11689 44.80679 45.24902 45.51824 45.66048 45.11628 45.19933 44.75524 43.66347 43.71405 43.28794 44.41489 45.62334 48.28660 50.37037 53.16377 57.97203 59.58904 63.20000 63.46154 63.78205 65.20270 65.84507 64.26630 65.72238 66.37168 68.31395 68.46154 74.00000 72.87234 73.50746 78.81773 75.12690 76.47059 78.65169 84.75610 86.79245 85.29412 86.27451 88.48684 80.00000 85.67073 82.45614 76.72414 76.37363 70.85561 69.50000 68.11594 69.90521 65.75342 67.25664 67.17557 69.49458 69.19192 73.00000 71.36223 74.38017 78.31633 78.23529 79.25170 78.18372 72.74678 68.27889 61.23418 55.78231 51.58501 49.08775 46.78571 46.13510 47.97297 49.63054 50.97403 53.48066 54.98721 53.51220 53.14917 50.71685 46.84579 43.19018 40.56604 37.87879 35.70521 34.89933 35.45918 35.50725 37.60540 37.10526 37.83019 53.87658 53.75195 53.54756 53.56781 53.05970 53.14634 53.22504 53.86779 54.18956 54.42755 54.31970 53.83588 53.65744 54.62412 55.06980 54.88945 54.14129 53.29353 52.06917 50.71670 49.32389 48.31023 47.04584 47.28987 47.94521 49.55804 51.18812 53.44468 52.52278 52.08333 51.35379 50.89888 49.65831 47.27669 46.31837 44.17098 41.23554 39.41360 38.92083 40.25253 40.86765 42.55378 44.02549 45.10433 45.37926 45.95186 45.44895 45.14991 44.66484 44.40020 44.62985 45.44798 47.16446 49.82619 52.88066 57.53532 61.13990 64.42308 65.34527 65.48673 65.59633 66.45768 63.28413 65.28302 67.19368 70.75099 74.89627 75.56054 80.14354 76.86567 82.81250 82.43243 84.42623 84.28571 79.47977 84.90566 83.87097 82.27848 86.77419 87.26115 86.80982 78.44828 81.66667 78.90625 73.76238 71.62791 68.08036 68.99563 65.91837 67.85714 69.14894 70.40816 67.53247 67.72727 68.15562 70.23460 72.41848 74.10072 73.71134 73.30317 70.49296 65.30612 60.84711 56.10546 52.06478 50.69284 49.88806 49.88541 51.61290 53.76506 54.93757 54.36469 53.46916 51.69598 50.00000 47.77448 43.36283 40.04630 37.63089 33.76793 34.07602 35.13043 34.16955 37.91946 40.29720 42.32176 42.12008 53.25914 53.30882 53.34891 52.60337 52.25790 53.10804 54.14244 54.84791 55.23743 55.95075 55.47163 55.24262 54.56399 55.07408 55.47721 55.45771 54.80514 54.08281 53.00061 51.92870 50.78239 50.42277 49.70159 50.46548 51.75573 53.17412 54.81507 56.11782 55.66692 53.36190 52.25490 51.19617 49.88067 48.50460 46.18263 44.69590 41.76955 38.72987 37.37087 37.98096 37.77820 39.30063 40.99059 42.37013 42.96925 43.43161 43.51064 43.44978 43.12521 43.06020 42.15416 42.60033 42.51928 42.49519 45.16908 48.28244 53.29670 56.78879 59.73558 58.08625 58.33333 58.05085 59.20578 62.63736 65.75630 68.39080 71.86235 73.84937 78.66667 77.72512 81.45161 79.83425 80.49451 78.33333 80.00000 77.03488 79.64072 82.53012 85.24096 84.41176 79.18919 77.97927 75.99010 72.32558 72.66667 65.43210 68.53282 69.96198 69.63636 68.42105 66.39871 67.28972 69.15888 66.56716 64.30636 64.61318 66.08579 67.08428 67.57813 68.49866 64.59360 62.09424 59.74930 56.27178 52.84360 52.83912 53.25825 54.35154 55.81040 58.06075 57.99740 54.36422 52.87425 50.00000 46.15932 42.47720 39.53488 36.79402 33.70607 29.96820 31.63752 33.30479 34.71986 38.31169 41.70984 43.68421 43.78238 52.81350 53.59425 53.15457 52.55418 52.12766 52.83300 54.11361 55.48869 55.65771 56.18557 55.92774 55.23743 54.63264 55.06012 55.58245 55.19263 54.77151 54.18870 53.59301 52.48681 51.88773 51.64663 51.72570 52.69841 54.96165 57.15929 58.03935 58.23928 56.88180 54.86284 52.45902 50.87848 49.36034 47.94661 46.63043 44.69119 42.19409 38.38095 36.56463 34.90615 33.98329 35.63570 37.31549 38.70968 39.88343 40.92802 41.32621 41.56368 41.55405 40.70482 39.61877 38.99281 37.95964 36.34021 38.42730 42.52768 43.42105 48.32215 52.36842 51.75439 51.80180 51.82371 55.15267 58.10811 61.30952 65.41502 70.53942 75.10730 77.27273 81.88406 81.96721 82.38636 80.81081 74.06417 73.26203 70.49180 73.07692 71.08108 72.70270 70.98446 72.05882 69.53488 70.85202 70.88608 66.92607 65.64748 66.43836 66.29393 64.72393 63.55422 64.23358 64.16465 64.37346 62.85714 64.72868 60.83333 59.27835 58.47280 59.95671 59.95175 58.19398 56.29171 55.30035 55.26802 54.40784 55.75041 56.97074 57.98319 58.18505 60.02729 55.96591 53.66667 49.65948 47.52650 44.25087 43.25843 41.09677 39.14894 35.97923 32.62643 31.88776 33.93881 33.65759 37.50000 40.99437 40.12797 41.33100