ncols 127 nrows 57 xllcorner -124.81250 yllcorner 45.50000 cellsize 0.06250 NODATA_value -9999 51.45086 51.83601 51.99421 52.18437 52.23114 52.07142 51.86694 52.25859 52.62918 52.85159 52.80089 52.60810 52.95926 53.43900 54.48061 54.21716 53.85827 53.33523 50.59625 48.55114 46.53236 44.44089 42.50000 41.13962 39.60481 38.65894 37.90576 37.02783 36.18980 36.44374 36.54679 37.04403 38.44758 39.41040 40.35552 41.19145 42.34745 42.35353 42.60900 41.86906 39.77153 37.70921 37.15313 37.06644 37.22723 37.24696 36.82842 37.00465 36.82123 36.53026 36.83500 37.65364 38.67255 39.52082 40.79755 41.91907 42.81046 43.37832 43.63049 42.09402 40.58663 39.41935 38.80105 38.18069 37.97932 37.96755 37.67937 37.75375 37.56062 37.48688 36.20178 34.87780 35.07185 36.50843 38.32215 39.00763 38.92308 37.81818 38.17518 37.54325 37.37166 45.22059 58.45697 65.61514 67.69663 70.84469 70.45455 69.55307 71.20954 72.26345 74.58564 75.52581 75.04744 74.36709 74.46352 70.17045 68.95911 69.56522 68.75000 68.82759 70.37037 70.19231 69.90617 70.41885 70.99622 71.12676 70.19774 69.09318 71.75768 72.03390 72.16867 74.48707 76.53846 76.23116 73.38936 71.61383 66.39920 63.26046 59.34164 55.56128 53.66197 49.75610 47.87772 46.37203 45.38364 45.05268 44.64531 49.81750 50.41111 50.62680 50.83179 50.93854 50.85464 50.94659 51.28288 51.59359 52.08564 52.56187 52.90980 53.34850 53.71269 54.21836 54.89556 54.23977 54.67706 53.36207 52.04505 50.00000 48.50000 46.26011 44.68852 42.82526 41.61491 39.63669 37.89085 36.36364 35.97403 35.35679 35.27040 36.24161 37.11384 38.20988 38.92393 39.81752 40.12642 39.94083 39.77273 38.18319 36.90004 36.56942 37.25622 37.87941 38.29504 38.53090 38.98649 38.85788 39.03433 39.42147 40.44436 41.44775 42.53036 43.46631 44.61454 45.14717 45.87469 46.56042 44.84182 42.71311 41.18421 40.13158 39.19903 39.06832 39.26768 38.78693 39.08158 39.28102 39.76622 38.72437 37.66635 38.24264 40.40698 42.25092 42.12163 42.39631 42.04545 40.99217 39.01869 40.07561 47.19626 59.43114 64.21569 67.01493 71.04478 71.71582 70.10638 71.09375 70.39749 71.29817 71.56250 70.95142 70.96070 70.36199 67.70186 65.75630 65.03006 65.48223 65.14658 64.57680 63.82488 64.59581 64.82558 64.20613 67.61364 68.62302 70.21605 72.08686 73.33333 74.04234 75.10941 75.46189 73.81228 70.71651 68.63450 63.79310 58.95082 55.69964 53.99083 51.76619 49.09228 47.32010 46.37422 46.55532 46.60857 46.57534 48.82923 49.79956 50.13631 50.66221 50.95867 50.95968 50.89049 51.04895 51.39547 51.72414 52.13918 52.54813 53.01003 53.51700 54.35884 55.60510 57.11176 59.23852 58.54877 57.06422 55.07837 52.58621 50.63521 48.21535 46.27329 43.50034 41.36126 38.77358 37.05167 36.27678 35.62013 35.40541 36.29480 36.11898 36.55596 36.88836 37.23849 37.44250 37.90761 37.70925 37.15212 36.60448 37.04893 38.21092 39.12934 40.28777 41.12595 42.10729 42.44395 42.24208 42.65176 43.37362 44.01358 44.81992 45.51591 46.45645 47.52747 48.45850 49.63975 47.98100 46.47946 44.50617 42.55814 41.10588 40.96896 41.09936 41.17228 41.09904 41.82692 42.15637 42.07022 41.63449 42.48976 44.30147 45.80351 46.57080 47.25086 47.36842 45.25447 44.00998 44.56740 51.00223 62.06897 69.16933 67.67123 70.33898 69.52055 69.79381 70.09434 71.00656 70.14463 68.94410 68.83721 68.42752 66.27907 67.70601 66.20690 64.91054 64.85437 62.68797 61.29032 59.27835 58.91089 60.37891 59.98415 62.31343 67.98107 70.42042 72.15116 73.77232 75.05531 74.30939 74.10714 71.70330 68.72982 65.30928 60.39604 57.39910 54.91071 53.38142 51.85797 50.00000 48.12304 47.00875 47.88618 48.79154 48.99038 48.15660 49.41952 50.25253 51.14351 51.68924 51.43541 51.32075 51.33355 51.41972 51.51685 51.99275 52.43425 52.94058 53.84703 54.76687 56.62955 59.62644 63.34639 62.85714 62.01502 59.52690 57.05996 54.21995 50.94937 48.30295 45.20000 42.52336 40.31532 38.44477 37.02422 36.22047 36.22736 35.67881 35.39413 35.13977 35.84048 36.14487 36.56191 37.12360 37.70282 37.18631 36.85286 37.72567 39.40397 40.37045 41.96429 43.50460 44.70699 45.26722 45.87753 46.40499 46.63638 46.96239 47.37721 47.82685 48.48184 49.42155 50.49704 51.35989 49.66254 48.01735 45.55695 42.96628 41.09986 40.70986 40.94236 40.97222 42.38693 42.93647 43.96510 44.37799 44.61971 45.97036 48.56536 50.30344 50.22573 50.86505 51.61507 49.39516 48.32536 49.43074 55.01044 65.95745 70.65868 72.29730 73.14286 73.25581 71.61290 69.84436 68.99563 68.67470 64.64844 66.45161 64.56954 64.43662 66.56442 67.97386 65.28846 63.89961 63.01887 58.14361 55.43657 55.54662 56.99357 56.57277 60.98726 66.44815 70.76372 72.35376 74.83039 74.96723 73.71728 73.08869 69.18605 65.20045 61.51452 59.12263 56.98299 54.82315 53.72751 52.09627 51.54867 50.00000 49.34534 50.00000 50.89352 52.45902 49.22181 50.22606 51.11098 52.12314 52.77845 53.15528 53.50889 54.12805 54.46071 55.11746 55.28949 55.50109 55.97561 56.98555 58.12089 59.99317 62.91391 66.41541 66.30631 64.70588 63.29114 59.53815 56.17826 52.52355 48.90146 45.84158 42.83361 41.26097 39.57529 38.86029 37.85211 36.91275 35.82090 34.62214 35.28115 35.83383 36.67791 37.15861 37.60818 37.78182 37.81784 37.50418 38.46481 40.20906 41.80425 43.38470 45.15133 46.54417 47.84077 49.28937 50.50827 50.30947 50.09387 49.90540 50.16196 50.08142 50.73394 51.88756 52.65868 50.66372 48.38652 45.42070 42.57972 39.92410 39.83997 40.08895 40.41878 41.98094 43.84025 45.92794 46.76629 48.69636 50.08839 53.39367 54.55650 55.28497 55.05814 54.74308 52.85896 51.30246 53.04569 61.53846 69.95413 73.49869 73.75000 75.22936 73.51351 71.59091 69.61009 67.22488 66.00284 65.26459 64.37908 64.87069 63.85870 66.50295 66.45963 66.10018 63.88385 60.00000 56.99708 53.68349 55.25606 56.92996 57.56677 61.63982 67.64706 72.79412 75.62044 76.49513 75.67568 73.57143 71.71053 68.80466 66.58137 64.69148 61.04396 59.31677 58.18438 56.35452 55.18018 54.41386 54.00593 53.17324 54.36590 54.92813 55.52508 50.71689 51.21802 52.07503 52.82870 53.49134 54.16342 54.77696 55.51429 55.97712 56.83302 57.04562 57.30737 57.72651 59.03388 60.38996 62.44131 64.72688 66.79355 67.32394 65.74636 64.35125 60.16097 56.42265 52.62238 49.79167 45.87912 43.99600 42.69199 41.27230 40.16937 39.80687 39.03689 37.86066 36.30872 36.44978 37.10448 37.90323 38.80142 39.04358 39.52206 39.53616 39.55224 40.55556 42.15116 43.33041 44.80823 46.52352 47.93940 49.42795 51.04785 52.59096 52.57903 52.55301 52.31676 52.06729 51.59054 51.64946 51.57546 51.35107 49.82664 47.83446 45.11745 42.52555 40.53608 40.46424 40.50791 41.09294 42.80000 45.06173 47.37243 49.06780 52.02053 54.19874 56.63580 57.37705 57.67442 57.36364 57.01754 55.92643 54.72973 57.74527 65.52588 77.75468 78.85986 78.34302 76.04502 76.54155 73.60406 69.71831 67.10744 64.53744 64.10788 65.06550 64.49580 64.93363 66.41929 67.50973 66.63907 65.00000 61.76000 57.96089 54.94505 55.31136 56.84647 58.49858 62.68222 68.38235 73.23580 74.96183 78.28947 76.65370 75.81837 72.99065 69.67655 68.01716 65.37745 64.66667 61.67763 60.41247 59.52522 58.95404 58.52443 58.43682 58.70488 58.79733 59.12847 59.77337 52.20035 53.29552 53.24735 53.13132 53.07050 53.48988 53.88204 54.14923 54.45398 54.79115 55.43710 56.38859 57.39188 58.61208 60.66040 62.45872 63.84956 65.59772 65.68821 64.42308 63.20521 59.61413 56.22837 52.48559 48.61506 46.28450 44.26621 43.98034 43.31509 43.23725 41.92691 41.73528 39.98580 38.20690 38.25065 38.32005 38.91416 39.85249 40.76281 41.31523 41.63812 42.14123 42.94218 44.18058 45.02951 46.44720 47.77892 49.07134 50.68991 52.49292 54.05565 54.20106 54.49471 54.10113 53.49354 52.77365 52.11412 50.96844 49.79472 48.44869 46.67051 44.84489 43.15981 41.16572 41.28205 41.70721 42.21429 44.13629 46.56940 49.19499 51.83549 55.25478 57.90167 58.94670 60.25469 60.90175 59.91124 59.13174 58.97959 58.07860 63.09720 70.85308 83.52941 85.73034 83.61345 75.60976 77.02350 72.90076 72.26277 66.70984 64.92891 65.33333 65.29517 66.07143 66.88555 69.22330 71.30000 69.52984 66.84492 63.61345 59.94994 56.58960 57.50000 60.10165 62.08054 65.21061 70.69892 74.47818 76.74024 78.72340 79.70297 78.55051 77.37789 73.73320 71.64179 68.22157 66.21622 65.11335 64.52000 64.19111 62.93554 62.37624 62.96000 63.43629 62.80654 63.64877 63.68243 53.06770 54.67450 54.15205 53.62709 53.24387 53.52941 53.80228 53.76933 53.38115 52.91552 53.33830 53.96247 54.67050 56.30004 58.33939 60.38607 61.78782 63.76279 64.30958 63.94673 62.77496 60.46512 57.50500 54.72441 50.96983 48.37192 46.61495 45.48448 45.68733 44.51064 43.93939 43.26383 42.48879 40.57081 40.17241 40.80338 40.68077 41.92308 43.67226 44.67153 44.35656 44.30044 44.42835 44.91446 45.53622 46.56056 47.32096 48.20779 49.30851 50.39334 51.06960 51.15639 51.08046 50.89453 50.71615 50.28675 49.51076 48.28838 47.38147 46.07438 44.88586 43.75985 43.53323 43.23270 43.58553 44.02957 45.34396 46.23401 48.16768 50.00000 52.83019 57.13592 58.72667 59.61098 59.55882 60.37515 59.40299 60.19417 60.78767 63.68515 67.42126 73.07692 89.06634 88.64266 83.59375 79.82955 78.68852 75.52356 73.70370 71.02138 67.49460 68.43750 67.21311 71.62791 70.26066 72.77328 73.36066 71.23412 68.32461 65.44118 61.69725 59.77564 61.46067 64.24168 66.46825 68.80734 73.46221 76.76580 77.69608 78.86513 80.21429 80.98802 80.31496 76.91909 73.63813 71.95817 69.85472 68.50000 67.76316 67.77324 68.13677 68.22034 68.23583 68.43723 68.46389 68.60000 67.95580 50.87282 52.80845 53.62150 54.52085 55.18651 55.42967 55.48419 54.78603 52.78339 50.82427 50.50761 50.68854 50.83269 52.90673 55.15071 57.57014 59.33029 61.82708 63.02251 62.44681 61.89567 60.02265 58.67217 56.00000 53.23974 50.22140 48.47273 47.95122 47.33894 46.94149 46.04569 45.84034 43.85151 42.58982 41.94126 41.90687 42.75210 44.77848 46.43891 47.10937 46.61758 45.77130 45.18210 45.53571 45.44132 45.92782 46.49593 46.97965 47.51984 47.68579 47.86032 47.55245 47.10801 47.02042 46.90652 46.93103 46.31327 45.50519 45.03580 44.10741 43.37463 42.88624 43.19234 43.28209 43.92779 45.13915 46.56489 47.24371 48.28375 51.02951 53.33904 58.02676 59.22775 60.11236 58.86470 59.11017 60.04619 60.20518 64.49814 66.66667 69.76048 75.24752 86.24402 86.71053 81.34328 80.89431 78.12500 76.51163 73.12634 71.82952 69.86564 70.01880 73.38530 75.16779 74.42661 77.02970 74.65753 74.35897 72.08738 67.56757 64.30233 61.08696 63.89831 67.13759 71.65992 73.23944 76.00701 76.79558 77.97428 80.14469 81.63445 82.73155 82.88543 80.44832 77.14932 76.14379 73.93200 72.10526 71.94149 73.10062 74.61300 72.59934 73.30677 71.51030 71.21350 70.84071 70.94156 48.80546 50.81293 52.37918 53.74865 54.98015 54.98667 55.23892 54.82784 53.24619 52.04110 51.56483 51.09824 50.66763 51.93143 53.44979 55.15935 57.03230 59.84589 61.31605 61.70252 62.03863 61.17251 59.78050 57.64537 53.98524 50.22883 48.73660 47.63158 46.68367 45.98865 45.09901 44.75921 43.81720 43.21672 43.22034 45.34796 45.52557 46.77104 47.88084 48.05853 45.93112 44.68142 44.05801 44.10565 43.96419 44.41309 45.24600 46.00866 45.81470 45.70201 45.21687 44.19927 43.02326 42.49570 42.25233 42.06394 42.03804 42.35377 42.52117 42.29100 42.16161 41.92768 41.49361 40.84486 41.85209 43.23123 45.12152 45.93596 47.61228 49.29102 52.53846 57.46951 58.89988 59.72696 59.43205 59.37500 59.14369 60.69987 62.92719 66.69044 70.52632 75.00000 84.97596 83.07087 83.05085 82.07831 80.81264 79.02240 76.66068 76.78571 76.50602 77.08333 77.84588 78.82562 79.07216 80.85339 79.47020 76.43979 75.37688 72.42765 69.08442 66.26712 70.16332 73.59307 75.47619 75.64297 77.54591 77.24913 78.77759 78.93401 81.71701 83.69384 85.48387 83.77483 80.91873 79.89978 78.46034 76.32705 76.89929 77.80105 78.54839 76.85590 76.22466 74.85784 75.12101 73.36754 72.57653 48.45330 49.72711 50.40331 50.55441 50.83209 51.53729 52.19673 52.92809 54.74684 56.51539 55.80442 53.99144 51.76726 51.69401 51.35822 51.46138 53.99535 56.83532 59.17170 60.26923 61.94395 61.38958 59.58150 57.57132 54.56274 50.59102 48.02074 47.20930 45.63239 45.53806 44.70588 43.15416 44.57143 44.36494 45.21411 46.59358 48.11808 48.67076 48.54745 48.21641 46.15578 44.05413 42.78607 42.87359 42.85453 43.36958 44.33610 45.52355 45.51985 45.30901 44.80228 42.92176 41.09835 39.77994 38.99978 38.46817 38.83240 39.34993 39.77737 40.06910 40.00754 40.29615 40.19553 40.08964 40.84895 42.38806 43.84647 45.12195 46.74923 48.49462 51.67866 56.81818 59.30380 59.80036 58.74439 58.45511 57.33558 58.68545 62.69036 65.28213 69.72403 75.76087 81.38686 80.87071 81.51261 80.95930 81.27660 81.25000 82.03642 81.32530 81.38298 82.04904 82.25806 82.81250 84.25414 81.93359 82.53012 80.86817 77.52722 76.25571 73.53952 71.52542 74.15730 77.25291 79.37400 78.32326 80.14950 79.48718 80.20134 79.04841 81.68724 83.75000 86.21324 86.21399 84.43510 84.17508 81.93473 79.93299 80.72727 81.41762 81.86016 79.80535 78.34646 77.59542 76.48871 76.16452 75.36563 49.66292 51.08412 51.24696 50.56864 49.69918 49.68409 49.85093 49.88208 51.29453 52.51724 52.47117 51.46115 51.00438 50.85155 51.37696 51.49115 53.86179 56.11511 57.87746 58.28767 58.93037 58.18777 56.44118 54.44712 51.86258 48.71795 45.71429 45.66056 44.56107 44.35780 44.25676 44.21222 45.89716 46.64634 46.72986 48.18496 48.65854 49.10112 48.28789 48.42749 45.42254 43.65942 42.38342 41.61491 41.59552 42.56908 43.75870 45.41257 45.72657 46.05263 46.25632 44.05977 41.71567 38.79510 36.44324 34.83330 35.37933 36.05307 36.72833 37.17044 37.76658 38.48666 39.40630 40.34495 41.16921 41.69667 41.96018 43.54396 45.28950 47.64228 51.41361 55.64617 58.79699 60.94340 63.07448 60.14344 59.09091 59.57447 62.43719 66.19718 69.19431 75.06849 80.00000 79.65116 82.30198 80.07426 80.99174 84.15842 86.92810 87.40260 89.65517 88.59060 88.41060 88.58093 89.13043 87.50000 84.18891 83.30224 80.65693 80.05415 77.57475 77.34807 78.53261 79.77444 80.59701 80.52838 81.86695 81.11354 79.10448 79.22078 82.16169 83.30465 85.84559 86.75214 87.21228 86.25592 85.29412 81.74946 82.04545 83.91473 83.48930 81.65138 80.61475 79.40476 78.46715 77.53846 75.90649 51.61143 53.27368 53.12836 51.48950 50.04933 49.23158 48.29424 47.46226 47.24483 46.60319 46.84343 47.88800 48.91827 49.83755 50.66292 51.64905 53.68633 55.11190 56.14224 56.49702 56.63031 55.80411 54.29389 52.52525 50.91146 47.73535 45.94959 44.38002 42.69384 43.01192 42.39917 43.29692 44.66131 46.18240 47.61905 47.33570 47.86432 47.69231 46.30110 45.37915 44.48980 42.82664 41.86478 41.28967 40.61955 41.29747 42.24461 43.27246 43.64407 44.30260 44.71112 43.23629 41.77043 38.97638 36.05239 33.97003 33.71314 33.89068 33.97941 35.05613 35.94470 37.14784 38.76045 41.20419 42.54386 43.58254 44.69377 45.90288 46.67568 48.48395 50.41876 52.88462 55.39568 58.40000 62.07627 59.74889 56.69371 58.73181 60.86351 65.72581 69.51220 73.25228 76.66667 80.00000 80.82707 82.59259 84.84419 87.01299 87.75744 92.16590 94.54315 92.96117 91.25874 92.60970 92.24138 92.60000 89.77733 86.19744 84.32432 83.95722 80.72289 80.36504 81.45161 83.43239 83.03859 81.01504 81.77189 80.06135 78.49741 76.92308 81.25000 84.28571 86.76948 86.73913 89.14780 88.32924 86.05601 85.12035 85.38576 84.05910 83.73786 83.01508 81.32530 79.32879 78.24207 76.28440 75.00000 52.89412 55.28122 55.96154 54.63789 53.78306 52.61572 51.40084 49.91110 49.77099 49.60651 49.51797 49.64675 50.00000 50.42796 51.17284 51.61943 52.74725 53.80068 54.62515 54.63918 54.80154 54.30287 52.88858 51.72018 49.45255 47.51152 44.56825 43.21956 40.84125 40.70946 41.06176 40.66390 42.53319 44.46154 45.71429 45.99078 44.63373 44.27124 42.47066 41.50268 41.67951 41.69359 41.22735 40.57762 39.99682 39.70100 40.09557 40.42897 41.25000 42.08410 42.82307 42.13457 41.38918 39.39475 36.59056 33.97051 32.62746 31.78277 31.33319 32.75373 34.35010 36.05321 38.44364 41.88548 44.29791 46.49384 49.83108 49.67213 49.46269 48.94904 49.23686 50.17442 51.86031 56.32813 59.26966 58.86470 57.27903 58.69159 62.85714 64.76684 68.15789 70.30769 76.58228 80.16760 82.50000 84.64674 90.42208 93.51852 95.59659 95.20548 100.51020 98.92183 99.10486 95.50971 96.05809 92.94479 91.90283 88.90110 89.13043 85.19782 83.33333 82.87671 84.04908 86.25828 85.13986 86.79775 84.27734 82.88462 80.84677 79.64191 83.06878 85.72727 88.11252 86.32987 87.23404 86.08583 84.09962 84.18854 85.06224 84.54936 84.39490 80.78176 79.73124 76.97368 75.22659 75.00000 73.72881 53.59637 56.79896 58.21157 57.46313 56.79343 55.52165 54.32597 52.79665 52.49093 52.17687 51.72371 51.65621 51.41079 51.45410 51.74726 51.16822 51.72194 52.73834 53.34635 53.66061 53.47561 52.79743 51.95369 51.01964 49.31880 46.40884 44.37676 41.48199 39.12449 38.20000 38.15789 37.85558 38.93443 39.48521 40.16393 39.86486 39.14209 38.45209 38.63636 38.44148 39.06660 39.75989 40.10638 40.35584 40.72552 40.78264 40.58922 40.44330 41.27563 42.17172 42.89631 42.80000 42.88859 41.48620 39.38803 37.10355 35.59459 34.33185 33.56383 34.74265 36.30013 38.16124 40.39497 43.90459 45.73222 47.80325 50.53957 51.40515 51.81696 51.35542 50.63694 50.56433 52.51256 54.62392 57.70328 58.92283 56.61765 59.47802 60.37234 65.42857 66.13372 70.03425 76.40845 80.31359 84.68750 88.30769 92.29508 94.53125 98.80597 100.13699 103.26371 102.06311 99.39577 100.28902 97.31308 96.62162 93.73650 92.25352 87.33032 87.15909 87.17391 86.94690 87.43961 88.07107 88.54895 87.42515 86.39706 84.88372 84.28571 83.68098 86.13861 84.94898 85.81315 86.10698 85.15284 84.67742 83.97351 82.51232 82.82548 82.59053 81.11588 78.16524 75.98425 74.09502 73.29295 70.80173 72.11538 53.15528 56.51311 58.53481 58.97230 59.38046 59.29801 58.28238 57.48577 56.59236 55.28738 54.09836 53.79789 52.97480 52.40964 51.84237 51.01618 51.32314 51.69604 52.26244 52.39656 52.19278 52.02601 51.28374 51.07219 48.98075 45.96019 42.44604 40.77869 37.73842 35.51587 35.88435 34.33079 34.05573 33.67003 33.28025 32.23881 31.91095 33.33333 34.38959 35.44776 36.65906 37.75194 38.88102 40.34653 42.08949 42.02557 41.18098 40.62907 41.52658 42.21820 42.86769 43.31844 43.64407 43.15317 41.35905 39.62594 38.36715 37.24145 36.27246 37.58520 39.05195 40.64361 43.19387 46.14735 48.00937 49.48468 51.86014 53.07692 54.20219 53.78151 52.24796 52.24551 53.85253 55.72110 58.65772 59.63303 59.57447 60.08065 61.50685 62.61261 68.32797 69.44444 77.43191 83.46154 86.08247 91.97952 94.34307 98.23322 97.44898 102.62295 105.59105 102.88462 102.75229 102.13675 99.04398 96.64311 97.11375 97.00855 94.04432 92.39130 90.61265 91.04628 90.23669 90.46653 91.93878 91.36905 89.84375 90.06849 88.86139 87.19611 86.64921 87.97814 86.31285 86.28659 85.11628 83.35756 82.57919 82.26496 82.33945 81.07303 80.44444 76.80851 75.59395 74.01316 72.08122 71.00927 69.78193 52.42857 55.61835 58.14877 59.54436 60.84513 61.09833 60.77525 60.55071 58.85455 57.26186 55.48817 54.27065 52.97398 52.03111 51.51880 50.67678 50.88778 51.48917 51.65895 52.54042 53.13316 53.50024 52.80980 52.00535 49.65753 46.46782 41.84514 37.37864 31.81818 29.22131 28.10811 27.82258 28.06480 27.91045 27.66571 28.72247 29.58506 30.48589 32.38095 34.01565 35.97122 37.65653 38.96458 41.11406 42.57075 42.78507 42.51426 42.29986 42.42021 42.53731 42.69283 43.49331 44.11898 44.03511 43.19217 42.46333 42.25607 41.91898 41.82526 43.14587 44.70885 46.32768 48.35928 50.43207 51.77324 53.23137 54.31076 54.95679 55.14184 55.66621 56.27615 57.44552 57.75510 62.57669 66.23529 63.61386 64.60674 65.15789 66.35638 67.20588 68.33856 72.71127 75.09091 85.38732 89.44637 89.89899 91.34276 94.84536 98.32215 100.63694 100.15480 100.16892 104.09836 104.67742 98.63760 100.25575 97.92683 96.21849 97.00272 93.77323 92.22222 94.39462 96.12832 96.07623 95.26432 94.24686 93.20487 92.82051 90.55375 88.67769 89.62766 88.52459 87.84787 85.48387 84.75894 82.61834 83.57143 81.90045 81.03448 79.82196 79.01146 76.81231 75.60621 73.14540 71.68675 69.69553 69.38370 51.13048 54.36447 57.05484 59.07845 60.71211 61.64179 61.90223 62.18061 60.39732 58.21568 56.17632 54.27382 52.66160 51.53922 51.05060 50.46605 50.75956 50.97427 51.45923 52.59777 53.63057 54.31965 53.45572 52.68402 49.86796 45.95092 41.30435 35.56361 28.74659 25.54693 24.65809 23.52941 24.62500 24.63977 25.73739 27.29297 28.80851 30.21173 31.96393 33.61022 35.36155 37.53963 39.62812 41.29815 42.89979 43.43958 43.17093 43.09667 42.90501 42.79653 42.87662 43.56771 44.09520 44.23244 43.90875 43.55976 43.88567 44.45471 45.23395 46.57942 48.34328 50.15475 51.89252 53.59869 54.60843 54.78649 55.56414 55.83903 56.16438 56.53951 58.05263 60.90226 63.43931 64.44201 67.93893 68.27957 69.16168 68.05252 69.72603 69.36937 69.68750 75.99278 78.19549 83.03249 90.32258 90.24390 93.17343 94.36620 97.91667 98.17881 96.30225 99.46237 103.57143 103.83275 100.00000 98.96142 99.57265 100.65574 97.66355 96.79487 96.51899 96.93446 98.17518 98.26733 96.53938 98.40764 95.24291 94.11765 92.78169 90.46392 89.47368 88.16726 88.03571 85.87480 84.08000 84.25926 82.85498 82.43832 82.39796 81.24006 79.17271 78.19149 76.85644 75.30266 73.86364 71.89324 70.77748 49.96384 52.97834 55.67481 58.31715 60.35333 61.88468 62.36494 63.11350 61.68411 59.88677 57.93364 55.52861 53.31050 52.06422 52.08453 51.97006 52.56295 53.76303 54.79365 54.70000 54.98879 54.88518 54.82255 54.99297 52.30415 47.92148 42.82116 38.76307 32.19697 28.24742 27.69679 27.26544 27.63591 29.38103 30.41902 31.90955 32.53138 33.95020 34.80742 36.27119 38.43985 38.95706 40.08475 40.82707 41.73873 42.00969 41.89027 42.14437 42.63944 42.82313 43.30709 43.46804 43.50692 43.57642 43.37736 42.98808 43.68540 44.66146 45.84953 47.28636 49.20591 51.18734 53.10723 54.89704 55.62500 55.71769 55.75017 55.96644 55.97610 57.47253 59.42737 62.20504 64.71429 69.20000 71.08626 71.26582 73.59551 74.70060 74.67105 72.95918 77.56184 77.67528 80.00000 84.16988 90.27237 92.20532 95.29412 97.33840 95.22059 98.09160 95.72491 99.06542 98.93293 96.46018 95.46742 95.04132 95.32086 93.48404 92.91237 92.96875 93.63636 93.08094 94.33498 93.76559 93.90244 92.56757 92.39130 90.82840 89.05660 88.26248 88.15029 86.55706 86.41618 86.46552 84.55631 85.01656 84.23645 83.49057 82.63254 82.03390 82.72727 80.40000 78.91129 76.96759 75.11416 73.04112 70.85762 49.54899 51.64168 53.52941 57.01774 59.88841 62.06119 62.80112 63.64867 62.85413 61.43141 60.06630 56.87164 54.13947 52.64793 52.96466 53.14672 54.09596 55.31185 56.45544 56.10949 55.70843 55.40058 55.50547 55.79606 53.88083 50.71344 47.33553 43.54839 39.04182 35.64982 35.49669 35.42464 36.37470 37.26982 37.52039 38.17244 38.45316 38.53565 39.15929 39.40443 40.14668 40.76633 41.56032 41.42412 41.41631 41.07143 41.03434 40.64950 41.36378 42.27545 42.77031 43.01408 43.05878 42.83985 42.29211 41.28748 41.75616 42.57251 43.38554 44.66285 46.28456 48.10386 50.38810 53.50195 54.61086 55.39180 55.65327 56.00924 55.92742 58.12227 59.68929 63.68715 67.23195 72.68519 75.84270 76.16279 78.48101 78.12500 78.64583 78.12500 81.69014 83.08824 83.33333 86.24535 91.72932 92.61993 94.42308 98.67925 97.62774 98.85057 94.34307 95.55215 93.62018 93.91304 91.89944 91.16848 89.60000 89.13043 89.51613 90.16393 89.34426 92.97753 90.07937 89.21833 89.78780 88.88889 87.32057 89.15929 87.17949 86.16352 86.27451 84.66523 85.48387 85.91549 84.75248 86.67883 87.63538 85.88640 86.36364 86.43264 85.19135 81.98895 80.90000 78.42686 75.91273 73.62736 71.30682 50.11688 51.11968 52.31720 56.11880 58.97606 61.62281 63.08440 64.56480 64.24299 63.26701 62.09559 59.31793 56.57464 54.91870 54.46075 54.28879 54.86342 56.00250 57.08327 56.62100 56.22165 55.79897 56.66110 57.28102 57.22311 56.09531 54.64109 53.43874 51.66976 50.16393 50.59445 49.64595 49.10256 48.78378 47.89621 46.77307 45.86207 44.04368 42.93746 42.44110 42.59036 43.43808 43.91776 42.45332 41.95017 40.98850 39.65345 38.83396 39.65388 41.04057 41.96384 42.45283 42.94931 42.32701 40.49967 38.53880 38.18741 38.39264 38.46154 39.61393 40.79972 42.80000 45.67827 49.92093 53.04519 53.37790 55.65022 56.06172 56.91947 59.32773 62.37113 64.52703 67.87565 71.91011 80.71672 78.82736 83.04196 78.54671 83.33333 82.97872 85.23132 86.93182 90.07634 90.90909 92.77567 96.94656 97.54717 95.81818 97.14286 93.46290 94.42509 92.85714 93.64548 91.34615 90.86379 87.50000 87.01923 88.17365 89.75904 83.85827 87.60108 86.78474 86.92308 84.76563 85.75130 85.40146 85.33654 86.65158 85.09934 85.19737 87.65306 86.74089 86.06061 86.62109 86.33721 88.21656 88.68922 87.34818 88.70056 88.28452 85.50459 84.50000 81.41892 79.16667 76.39296 73.90671 71.81275 51.00725 51.08878 51.21523 54.71936 57.77986 60.65538 63.08450 65.18350 65.60431 64.63968 64.04650 61.67425 59.26325 57.39625 56.58283 55.81827 56.18809 57.11620 58.00053 57.79748 57.44577 57.77592 58.76075 59.80992 60.45148 60.56128 60.57692 60.70490 61.05539 60.80376 60.76149 59.65569 57.37101 56.27861 54.21233 52.16942 50.82988 48.37947 47.72891 46.56334 45.62384 44.37961 43.94542 42.74322 41.07586 40.17264 38.69582 37.30455 38.18156 39.30197 40.10456 41.26479 42.29785 42.28111 40.66489 38.74078 37.59440 36.60986 36.11765 37.39383 39.08555 41.09163 44.18283 48.70865 52.16138 54.76534 59.06838 59.20148 59.29204 60.54839 62.57485 66.00318 69.84127 74.03846 78.26087 79.65779 85.40000 87.34940 85.57312 88.50575 89.35361 88.05970 89.73881 94.05204 94.28044 95.77206 95.88235 97.31183 96.15385 95.47038 93.29897 92.85714 89.93506 92.78846 88.33866 88.94231 88.57143 87.05882 89.49704 87.01299 87.59894 87.50000 85.35980 84.67337 84.32836 82.97872 82.82353 82.07127 83.84956 84.10596 86.03696 85.65574 84.40083 84.80000 84.77823 86.74833 88.52273 89.49115 90.31250 89.88095 87.18593 83.71041 82.98319 79.14157 76.28205 75.13966 73.78303 51.42518 51.63652 51.74903 54.26448 56.91007 59.45262 62.25827 64.95345 65.76626 65.85640 65.79997 64.14463 62.27345 60.74491 59.75552 58.82876 58.86305 59.35596 59.66628 60.11010 60.50215 61.15870 62.36764 63.49266 64.51512 65.18053 66.51941 67.82025 69.12793 70.22222 68.90104 66.81208 63.65639 61.47757 58.77437 57.03448 54.87288 53.38266 51.83908 51.08696 48.30565 45.74132 43.74276 41.93720 40.42553 38.87381 37.55511 36.16835 36.91160 37.57982 38.20565 39.82831 41.57470 41.99103 41.12806 39.74383 37.68427 35.75436 34.13403 36.07652 37.97808 40.26781 43.40825 48.10870 52.11149 56.75277 63.62162 63.68647 62.72124 62.82158 65.84906 68.71345 72.57732 79.15194 80.00000 82.18391 81.03448 84.88372 92.35294 90.90909 91.72932 90.80460 90.34091 95.33582 92.23827 96.57040 100.00000 99.24528 97.17742 99.39759 96.65354 94.65649 91.20879 90.17857 89.32039 88.55799 85.58559 88.27893 87.82991 90.19337 88.01090 87.09239 84.91049 84.70437 85.20408 84.61538 83.79747 87.03704 86.02941 84.95146 83.62069 85.56034 85.35242 83.11258 84.04494 84.22175 83.29741 84.46809 83.81503 83.73606 81.81818 82.12521 79.78723 77.85714 74.98017 74.27678 72.45927 51.55015 52.07597 52.26754 54.26021 56.24681 58.05393 61.37441 64.09516 65.62969 66.33011 66.75626 65.79074 64.61661 63.60157 62.74178 61.76334 61.56632 61.50023 61.57621 62.21904 63.17741 63.95656 65.23616 66.65443 67.99018 69.81982 71.50515 72.93859 74.32753 74.23888 72.59552 69.53938 66.21188 62.65896 58.90369 56.96798 54.87889 54.22833 53.46154 52.66075 50.40900 47.43665 45.07004 42.98720 41.06169 39.33837 38.32547 37.61372 37.01166 36.66018 36.49140 37.97861 39.50287 40.19515 40.11333 40.22360 38.96313 37.57082 36.45115 38.44711 40.74571 43.17566 45.57099 49.75315 53.60169 59.49074 69.24855 69.11315 70.71046 70.73955 74.67652 75.00000 78.88016 84.18367 84.22819 89.91935 89.41176 93.45238 94.70588 98.02372 99.40476 96.91358 95.36290 97.59036 94.35798 97.27626 97.26891 100.00000 97.10744 95.34884 95.80153 92.61364 91.36029 88.96797 87.75510 86.63366 86.42173 85.90909 90.86826 88.21918 87.39837 87.80161 85.25000 84.81481 85.86957 85.67568 85.23002 85.21127 85.66434 84.56221 85.11294 85.96311 86.40167 84.27673 82.98097 81.31213 79.81928 78.57143 79.06764 76.86170 77.34375 78.00325 75.60423 74.50249 73.44855 73.37510 73.14961 51.35345 51.72101 52.11020 53.56145 55.41796 57.15684 60.52323 63.35350 65.05768 65.71204 66.27319 66.26799 65.98473 65.80807 65.19916 64.48820 64.11297 63.86957 63.76030 64.51066 65.57131 66.64740 67.99591 69.55920 71.51283 73.86057 77.02673 77.88413 78.43058 77.95294 74.57228 70.70896 66.74938 62.87313 58.25000 56.97674 55.84795 54.90327 54.55893 54.12446 51.30261 48.87348 46.37033 43.61549 41.23732 39.76015 39.04725 38.20938 36.78710 35.74798 35.17761 36.39844 37.70679 38.66408 39.27654 40.10695 39.90451 39.22323 38.53411 40.76923 43.09422 45.58561 47.92017 51.08303 54.81967 61.29261 71.11345 73.06576 75.88315 77.91304 79.81366 81.16438 85.98655 85.58394 88.54167 92.85714 98.60000 98.61660 101.19048 102.01613 99.20000 96.05809 97.50000 98.14815 98.60000 100.00000 97.63948 100.21459 100.86957 94.64286 92.51969 93.20000 91.43969 88.76404 88.96797 89.44637 88.48684 88.69427 86.46154 88.62275 85.87896 85.26912 88.21138 86.60477 85.80902 89.09574 86.51832 87.03704 85.48780 86.40777 83.50731 85.07307 82.80318 80.53360 81.80000 76.41879 76.38340 76.57480 74.23077 74.43182 72.68908 73.04000 73.39450 71.07093 71.42857 71.37097 69.97608 50.95633 51.16027 51.21878 52.56486 54.34355 56.04027 59.57681 62.41588 64.20193 64.95422 65.24533 65.80433 65.95077 66.24473 65.73953 65.30968 64.91290 64.97705 64.88635 65.76705 66.87596 67.92233 69.53251 71.33595 73.21468 75.18762 78.08815 78.39526 78.46268 77.63659 73.19741 69.66561 65.44240 61.75041 57.73109 56.54450 55.94156 55.71524 55.24017 54.74479 52.20736 49.72908 47.03785 44.25373 41.28217 39.21687 37.96271 37.11992 36.13579 35.61922 34.89531 35.99873 36.78641 37.69309 38.70429 39.93639 40.23556 40.10417 40.44801 42.56716 45.27048 47.44404 49.62312 52.59932 55.78426 61.51363 69.46108 70.69458 74.86631 78.60963 81.29496 82.23684 85.52632 92.40506 91.40000 94.40000 99.03846 103.24427 97.54464 100.45455 101.81818 100.68493 103.18182 99.76303 100.94340 100.47393 99.54751 99.54751 98.21429 94.93927 92.43028 87.80000 84.88372 85.93156 86.24535 84.11552 87.75168 87.37705 86.52597 87.38602 87.61062 86.31124 88.68195 88.44011 88.10811 85.52632 87.50000 86.61972 85.67961 86.41827 82.03285 81.57895 81.33462 78.57143 78.96750 75.84270 74.86034 74.07749 72.32305 72.58065 73.03922 69.56522 70.75188 69.11357 67.30769 68.44595 67.29412 50.09814 50.09904 50.04819 51.34675 53.11758 54.78632 58.37227 61.10320 63.06077 63.36161 63.73369 64.32685 65.07508 65.60353 65.42857 65.24514 65.22659 65.63134 65.82885 66.71906 67.85127 69.02113 70.77417 72.85714 74.50549 76.19903 77.97763 78.77342 78.24074 76.49701 72.76786 68.61371 64.37803 60.92612 57.55222 56.90899 56.17322 55.86011 55.17598 54.00137 51.93548 49.64974 47.42074 44.24478 40.84812 38.77791 36.91564 35.32153 34.62252 34.20166 33.85827 34.93929 35.68386 36.50235 37.82183 39.21405 40.03927 40.44790 41.44543 43.98964 46.47687 48.40849 51.07185 53.92599 56.82183 60.40222 65.58615 67.61827 71.47470 73.82597 76.95853 81.13208 81.57895 87.50000 95.45455 95.90517 98.14815 99.40476 96.52778 99.76959 99.54128 101.81818 100.00000 99.51456 101.95122 98.78641 96.69811 94.65116 95.47511 93.85593 91.97531 86.72199 84.06375 86.16601 84.88372 84.26966 89.61268 85.83618 86.87708 83.96226 87.15170 87.95181 89.05325 89.88439 89.33718 87.81513 86.88525 87.32227 86.97674 85.68282 83.15451 81.96203 79.47977 76.70455 75.89118 75.36364 74.23698 72.85959 73.11644 71.17647 70.40984 68.63057 68.60465 66.71252 66.00000 66.97783 65.55944 50.70703 50.47636 50.46392 51.19681 52.54644 53.70256 56.65151 59.23500 61.29308 62.15148 62.70174 63.53085 64.16409 64.75223 65.27597 65.48469 66.01699 66.65850 67.25132 68.25435 69.33955 70.49194 71.79305 72.92113 74.33309 75.57431 76.70837 76.90799 76.17047 74.68188 70.67449 66.33739 63.25144 60.79865 59.11986 58.27893 58.00129 56.93811 54.68457 52.94840 51.14102 49.57192 47.91667 44.13681 40.97458 38.12333 35.38225 33.38690 32.47354 32.06206 31.85650 32.88043 33.90270 34.96165 36.18336 37.73697 38.73258 39.74101 41.17891 43.64622 46.45288 49.08081 51.72414 54.73496 57.04831 59.08759 61.11574 62.92185 63.49372 64.84962 67.38411 70.14925 72.76423 77.75974 83.33333 91.94313 96.47887 95.73991 95.90517 102.71967 99.34211 103.71179 101.07759 99.24242 99.74093 96.87500 92.85714 94.25000 91.66667 89.36652 90.96916 89.64758 89.40678 83.53659 87.17949 86.09959 87.63066 83.83838 82.95082 85.55195 85.82803 84.57944 89.18919 87.06395 84.94764 85.49618 84.98759 86.39456 85.76159 81.59574 81.16883 80.12685 78.98406 75.97276 74.71264 73.17940 73.98946 71.01727 71.14286 70.21104 68.12401 67.63323 65.90909 65.51020 65.35904 65.18771 64.00450 51.74223 51.97513 52.08705 52.33969 52.35550 52.41935 54.67191 57.24986 59.08367 60.26334 61.67445 62.45441 63.28029 64.01841 65.10087 65.79813 66.87500 67.96326 68.96830 69.87459 70.92396 71.87962 72.58454 73.25835 73.80059 74.57369 74.83547 74.44783 73.56419 71.73218 68.49315 64.75667 61.62304 60.44689 58.95522 58.09582 57.42671 56.99737 54.30981 52.11009 49.47399 47.93103 46.25187 42.97727 40.08639 36.97430 34.02418 31.85886 30.93072 30.48523 30.14850 30.79869 31.36168 32.19641 33.04218 34.02872 35.34304 36.69496 38.68387 41.10697 44.25968 47.38416 50.32097 53.61586 55.46358 57.80572 59.24563 59.71223 61.72780 62.41935 62.48322 65.26656 70.96457 74.80000 81.18812 90.17857 91.94313 98.08612 96.31336 101.56250 100.21739 96.20536 102.50000 95.85492 96.27660 89.89362 97.90576 91.96891 93.26923 92.95775 89.18919 89.33333 89.91416 88.12500 88.79310 83.60996 85.66434 86.59794 81.78808 83.88704 82.52427 84.98403 84.96933 86.25378 83.73984 83.24538 83.46154 84.45476 83.86005 81.50985 80.98901 80.96774 76.64671 75.87209 75.71429 72.99065 73.66972 70.90395 69.02574 67.63110 67.00000 66.25616 64.54690 64.22222 63.40058 62.85231 61.92810 52.54630 52.88788 52.87505 52.91053 52.50609 52.02293 53.63985 55.55054 57.24638 59.67110 61.95146 63.68136 64.60751 65.85475 66.67411 67.55766 68.48203 69.15966 69.97023 70.76722 71.53214 72.66053 72.92499 72.78868 73.22176 72.51501 72.34281 71.54223 70.36794 68.79433 65.52523 62.48013 60.08197 59.22671 57.72259 56.97248 55.90043 54.48444 52.31339 50.99578 48.44380 46.02488 43.51145 40.61196 37.97136 35.47547 32.95698 30.56031 29.32702 28.64000 27.99867 28.13378 28.01391 28.16456 28.47313 28.82231 29.80986 31.32111 33.39879 36.18421 38.91941 42.93746 46.23001 48.96641 52.54011 55.32119 56.68880 58.26558 59.29432 59.58296 60.15152 60.66591 65.84362 73.54497 82.11845 86.18677 94.44444 95.65217 98.60335 95.72193 97.09302 93.92265 95.32967 88.88889 92.16216 94.50549 94.50549 90.32258 93.93939 89.85507 91.16279 91.33333 91.37931 86.27049 87.34694 86.14458 87.22222 83.57401 84.16370 82.56579 82.52427 81.62939 83.28267 84.13174 84.16667 84.10959 83.24538 83.78713 84.86683 83.18584 81.27660 76.72065 78.99160 76.00806 75.29412 73.87640 72.44526 71.27072 68.75000 67.07531 66.01695 63.85350 62.71186 62.60870 62.16783 62.29773 61.83402 53.69928 53.50195 53.54151 53.28752 52.27273 51.79073 52.72269 53.83387 55.47413 59.22114 62.23694 64.38509 65.90144 67.29679 68.14286 68.77617 69.17080 69.75524 70.09827 70.32020 71.29909 71.93182 71.79556 71.32682 70.71749 69.44639 67.97473 66.83863 65.77905 64.55966 62.57970 60.92233 58.77926 57.31272 55.30165 53.09466 52.57038 50.90470 49.22010 48.22435 46.35726 42.95191 40.86889 38.81427 37.04488 35.34483 33.53191 32.03002 30.86260 29.77664 28.76469 28.22581 27.61069 27.21302 27.49030 27.61315 28.78477 30.24390 32.39417 34.68731 37.08083 40.14599 43.16479 47.09469 49.76976 53.46975 56.37708 60.37736 62.90000 64.84848 64.68531 65.19824 69.58763 75.64403 80.25568 87.65957 99.73684 99.71910 97.50000 101.11732 94.23077 93.78882 92.73256 89.65517 89.42857 89.42857 96.08939 91.20879 89.94975 87.13592 90.52133 93.05556 93.33333 88.60759 87.96680 85.68548 85.13011 83.57401 84.82143 82.67327 83.11688 82.71028 82.30769 83.02752 81.62393 82.02247 84.10959 84.31877 81.93069 83.14351 82.49453 78.57143 78.42105 76.00806 73.69942 74.12200 70.74468 67.95775 66.75258 65.37815 64.68189 63.30645 62.18612 61.43885 62.58741 61.36671 62.27621 53.25563 53.25701 52.89911 52.78515 52.38712 51.95228 52.56545 53.80435 55.08878 59.30233 62.38494 64.84000 66.49256 68.16662 68.59922 68.71731 68.98396 69.02633 68.90566 69.01905 69.65859 70.05963 69.23077 68.12433 66.47059 64.86083 62.36842 61.14222 61.09232 60.52495 59.49086 58.55809 57.10824 54.69303 52.43682 50.08929 48.31261 46.78261 46.16454 45.27687 42.72821 40.86818 38.54735 36.87259 35.92677 34.95394 34.17557 33.34160 32.80737 31.93674 30.67979 29.33744 28.26905 27.47074 27.54412 27.53667 28.58562 30.28926 32.46211 33.71895 35.92664 37.66404 39.79798 43.58476 46.82259 49.33921 55.21092 60.08772 65.60694 68.85714 68.71560 72.12230 74.50787 76.29630 81.77966 91.37931 96.92308 101.98864 105.02959 105.79268 98.95833 91.61290 83.54037 86.39053 84.21053 82.94798 87.70053 85.93750 87.68844 84.95146 90.19139 90.14085 91.28440 90.43478 90.33613 89.63415 85.19231 81.54982 81.94946 84.25606 82.76451 82.64984 82.54717 81.11455 83.43373 84.33735 83.77193 82.25389 82.57576 81.19159 80.80357 77.53165 74.84472 75.99602 72.88136 71.07209 68.88298 65.00000 63.74795 64.05493 62.69592 62.03704 60.95506 60.37344 61.28591 62.06704 62.72534 52.67966 52.94118 52.71333 52.72622 52.32955 51.78042 52.78771 54.00069 54.93123 58.73971 62.29435 64.70420 66.29980 67.98198 68.23934 67.95719 67.66136 67.20679 66.83262 66.51013 66.89450 67.20480 66.41509 65.52647 64.56311 62.38961 60.76287 59.74624 59.34516 58.99690 58.28775 56.79781 54.95024 52.60163 50.33765 48.13559 46.42470 44.31393 44.44756 44.25256 42.69211 39.05551 36.52913 34.39418 33.04130 32.08795 32.88847 33.86076 34.20069 34.04747 33.89889 34.08397 33.33952 33.72525 33.91082 34.03624 34.90153 35.59414 36.99262 37.05611 36.90758 37.29599 38.41634 39.38053 42.70153 47.50520 53.26877 60.64189 68.08511 71.66065 73.60656 75.08039 77.13311 76.06557 82.37410 89.81043 97.02703 102.63158 104.06977 108.73494 97.31544 92.99363 90.49080 87.27273 83.03571 85.50296 84.37500 85.75130 82.08955 84.95146 85.37736 87.32719 86.66667 85.25641 84.17722 83.19672 83.13253 83.98437 81.69811 81.55172 81.74061 82.38095 81.50470 80.74534 82.11009 82.62840 82.93769 79.13386 81.08808 80.64904 77.93103 74.89224 72.42105 72.84569 71.34269 69.30147 67.50871 63.59143 62.12361 61.93448 60.34483 59.74889 60.87551 61.36671 61.87335 62.19376 62.46006 52.83717 52.43112 52.27454 51.94575 51.92308 52.17973 53.09568 54.51045 55.86022 58.52156 61.10205 63.36773 64.88075 66.28686 66.56596 66.34877 65.59468 64.76378 64.00589 63.50185 63.43352 63.69689 63.05395 62.99103 62.29128 60.76112 59.33897 58.42563 58.48153 58.04737 56.95876 55.61345 53.46734 50.71015 47.85006 45.79361 43.80098 42.10098 42.95814 43.35853 41.10294 37.67471 34.77695 32.55618 31.25000 30.64796 32.75248 34.58145 35.90853 36.85393 37.86227 38.65505 39.57490 40.88038 41.35046 42.44345 42.94323 42.86134 43.29722 41.71887 40.52632 38.91336 39.21265 38.26177 42.53012 47.21578 51.62602 58.85827 65.19824 70.13889 75.32468 79.87013 80.92105 80.61224 83.05085 83.24742 96.22093 99.07407 103.31325 99.10714 98.28767 98.35526 98.07692 89.13043 84.75610 81.95266 83.87097 83.15789 80.45685 82.67327 81.99052 80.82192 83.18584 83.62069 81.64557 81.83673 81.92771 79.88281 81.36882 79.67033 78.39286 77.63158 78.43137 77.09677 78.91566 77.84431 77.62148 76.31579 76.73267 75.96154 73.50230 72.17391 69.74522 68.22709 66.40159 63.86322 63.92294 62.00000 62.76083 60.99844 60.79460 60.41359 62.05924 62.58741 62.58597 64.65296 63.43284 53.32080 53.27835 52.43803 51.81159 52.68070 53.40909 54.51041 55.83900 57.15871 59.20084 61.03960 62.59004 63.24174 63.76420 63.74111 63.48178 62.92676 61.86927 60.96154 59.75086 59.24737 58.14078 58.06229 58.40847 58.11133 57.78689 57.65485 57.73810 58.01208 57.57212 56.00601 54.15856 52.12336 49.60085 46.76796 44.80704 42.85266 40.70288 40.50983 40.67568 38.55385 35.43452 32.79646 30.89641 30.04817 29.89130 33.42381 36.35879 38.69938 40.92322 44.23719 46.08626 47.89608 49.94240 51.05127 51.55373 51.27182 51.31671 50.18688 49.85646 49.48571 48.59060 48.36562 48.52528 50.47468 56.31136 62.14286 67.64706 74.68944 77.27273 82.46753 79.74138 82.68482 84.52381 80.72289 83.84615 93.22034 93.46591 96.64634 102.13415 100.62500 97.64706 98.55491 96.98795 88.79310 82.68156 85.48387 80.46875 74.62687 77.07317 76.76056 77.27273 79.60526 82.14286 77.33051 79.01235 81.14407 83.47107 81.32530 79.03226 77.36842 76.71875 77.31481 76.85185 77.04918 76.15804 72.92225 72.18045 71.85185 70.87264 70.25172 68.91304 68.58974 68.44758 65.33066 62.50000 61.75958 60.64356 60.54687 59.61832 62.64793 62.02624 62.95265 65.02086 64.40329 63.54839 64.12214 54.71132 54.17237 53.98290 53.99822 54.73062 55.56754 56.35324 57.59021 58.63047 59.91689 61.83659 62.70772 62.00343 61.04114 60.67210 60.58492 60.11839 59.21165 57.84741 56.42736 55.08799 53.33333 52.66815 53.13379 52.98507 54.86853 55.93081 56.67637 56.43163 55.87240 54.26471 52.15278 49.72002 47.42366 44.82511 43.16198 40.92357 39.52739 39.09953 39.03948 37.49314 34.79391 32.49180 30.93781 30.20982 30.24476 34.29422 37.58901 40.36176 43.26217 47.17304 48.91412 50.96801 52.79070 53.39496 53.80881 53.87818 53.94862 53.81157 54.64789 53.53774 55.78635 56.21547 56.51085 61.66983 65.66069 70.61483 77.14286 79.59184 80.31359 82.63889 78.08219 78.95753 80.95238 81.03448 82.96703 87.05882 93.63636 94.51613 102.30263 101.96078 104.96894 99.70414 97.89157 97.64706 91.37931 89.13043 80.92784 76.38191 75.48544 73.50230 74.21525 74.67532 74.13043 77.44681 76.93878 79.37500 79.03226 80.00000 77.65957 78.42105 76.55280 76.22699 74.09091 73.91892 73.32440 70.86614 70.27027 71.06538 67.60563 67.62673 66.37555 66.63113 66.33065 64.38356 63.46154 63.89365 63.86986 63.10680 62.93930 64.36421 64.39628 64.69298 66.54412 64.73988 64.64064 63.48168 55.42807 55.37353 55.10556 55.04685 56.29723 57.12221 57.84672 58.40620 59.24337 60.18722 61.15280 61.86981 61.77240 61.29747 60.85930 60.34716 59.50509 58.51701 57.40741 55.64854 53.43774 51.04446 49.83132 49.55720 49.01009 50.83499 52.53485 53.46598 53.00573 52.06455 50.41551 48.43827 46.34845 44.54303 42.22503 41.02459 39.74740 38.74817 38.89322 38.55634 38.22409 36.08914 34.08264 32.60000 31.75410 31.59280 35.61964 39.01217 41.89864 44.77860 48.21429 49.08060 50.47877 51.30152 51.21951 51.53242 51.95987 53.08435 54.37365 55.94427 58.01809 60.91205 63.97059 66.21622 70.81340 80.37975 83.97213 85.05747 87.34940 84.20000 87.50000 85.04673 84.14634 82.58197 80.37975 84.16667 78.07018 80.72289 89.24419 98.21429 110.00000 104.54545 105.17241 106.36364 106.03448 92.85714 89.75000 83.41232 83.49515 77.77778 77.14932 74.77064 74.55752 75.88496 79.09483 76.54321 76.90840 80.45113 77.37226 77.79720 75.42373 78.70370 77.86378 74.77064 71.91011 69.47514 69.64736 71.00737 70.09569 69.44444 67.86517 67.64706 66.91489 65.42339 64.29961 65.77491 64.79239 65.24064 64.29766 65.31605 65.54160 67.02955 66.81416 66.13372 65.00000 63.89136 62.32332 56.37584 56.09541 56.09703 55.95084 57.13376 58.52130 59.37500 59.28774 59.37873 59.85194 60.46263 60.52807 60.97438 61.05212 60.87025 59.51038 58.41024 57.18199 55.79536 54.57571 51.74507 48.88328 47.09270 46.68291 45.49820 47.00375 48.51952 49.72477 48.86650 47.99306 46.61972 45.58824 43.94218 42.18942 40.98639 40.13859 39.34358 38.70328 38.74786 39.37882 39.36477 38.02481 36.42202 35.34828 34.38155 34.07202 37.10833 39.62743 41.67371 43.25444 45.14170 45.11674 45.33007 45.58277 45.46275 45.40112 46.89970 47.78420 51.14504 52.96726 56.26160 59.56250 63.96552 69.65517 78.04878 84.23913 87.95181 90.64039 94.07216 88.44221 86.20690 89.32039 85.82996 85.54217 84.89796 86.29032 83.05085 81.57895 88.82353 96.29630 96.00000 108.60927 110.75949 110.96774 107.27273 100.78125 98.24121 89.13043 83.49515 82.24299 82.19178 77.08333 77.02703 78.92377 75.10730 74.89627 72.41379 76.50376 74.72527 78.92857 73.95833 77.88462 74.28571 73.18612 71.55425 68.96552 69.76744 70.30075 69.20290 69.27570 69.34389 67.84141 65.51724 64.93776 65.24390 66.31068 66.23853 68.49315 66.48089 67.48311 67.90323 67.02955 66.64025 66.69279 65.02347 62.51337 61.32686 55.08690 54.90155 55.41269 55.58739 56.60873 57.08896 58.27141 58.63268 58.79330 59.28231 59.61872 60.12846 59.67142 59.40255 58.63378 57.13551 55.33212 54.12440 52.71382 51.23720 49.30840 46.85061 45.19451 44.23972 43.14178 43.55105 44.50502 45.00000 44.57559 44.22222 42.86374 42.18310 41.04284 40.85667 40.23307 39.49495 39.31357 38.90756 39.53657 40.22154 40.54541 39.61448 38.91956 38.16473 37.81144 37.51321 38.57942 39.77686 40.39264 40.00611 39.28236 38.91808 37.92683 37.78802 38.54258 39.23375 40.49658 42.39927 45.60618 48.02241 53.00000 58.28105 64.84099 71.79177 77.50716 86.75889 94.11765 92.03297 91.52542 93.68132 90.90909 92.08145 91.10577 91.66667 88.86364 84.93151 85.54502 86.52850 81.43713 83.65385 91.50943 96.51899 102.45399 105.35714 103.27869 104.46927 98.71134 90.71429 89.85507 83.40909 82.66667 80.41475 76.78571 73.33333 72.53219 73.84937 76.06178 73.33333 72.95918 73.15436 73.57860 72.89720 72.03125 70.62500 70.02967 68.14159 71.61017 69.45946 70.58047 67.29323 65.98063 63.98601 66.04803 63.57895 66.25475 65.57377 65.31142 67.02955 67.01031 67.84038 66.91395 66.26248 67.86704 66.30972 64.08567 62.40091 61.86927 53.10782 53.52349 54.42276 54.99589 55.59611 56.35238 56.96576 57.81493 58.52535 58.58417 59.20213 59.01114 58.52060 57.83034 57.23173 55.47146 53.83575 52.69260 51.74419 51.12899 49.68736 48.33333 47.49936 46.27101 44.96477 45.18287 45.20747 45.32895 44.79425 44.00000 43.77945 43.14833 42.14154 41.35101 40.21489 39.53119 39.14336 38.32306 38.22674 38.47687 38.49558 38.08428 37.92420 37.83390 37.65750 37.71102 38.44653 38.82488 38.42685 37.50363 36.49490 35.55102 34.63097 34.35345 35.57794 36.35308 37.94825 40.37078 44.61538 47.93983 53.55839 61.38996 68.34320 79.23729 88.39590 91.15044 101.25628 97.45763 98.24561 91.43646 95.80838 91.89944 89.28571 92.37288 90.76087 91.57609 88.91892 91.61850 86.44068 85.92814 91.41104 94.23077 87.96296 97.72727 96.77419 97.76536 92.85714 90.90909 86.76471 86.27907 82.28700 77.82805 73.58079 71.80617 73.27586 71.07438 72.32824 72.30483 71.05263 71.13402 69.80198 66.76737 66.41337 64.95468 64.38953 65.35088 65.50279 66.34877 64.64380 65.38462 63.63636 64.04255 65.06696 62.17949 63.20939 65.71429 65.55556 64.87395 65.34091 65.31142 66.88742 66.64025 66.54079 65.39017 64.74443 61.94517 61.75299 55.16129 55.17462 55.11579 55.17027 55.77869 56.34569 57.25615 57.86693 58.38797 58.91862 58.23074 58.11894 57.53235 56.92544 56.24400 54.95162 53.55633 52.96161 52.73363 52.40487 51.80486 51.39266 50.82655 50.04934 49.45455 48.80383 48.40071 47.74491 47.08116 46.52174 45.32578 44.79592 44.05577 42.16728 40.66148 39.68864 38.08468 37.06702 36.43411 35.69726 35.41047 35.70261 36.22103 36.34006 37.13733 37.55693 37.32184 37.12242 36.42068 35.20026 34.07040 32.86445 32.01978 31.66421 32.57576 33.66745 36.04491 39.42254 43.79985 47.94386 55.11521 64.19185 71.60494 86.34969 92.30769 104.61165 101.04712 100.29940 97.89157 96.42857 93.39623 97.51553 93.94904 94.73684 94.16667 93.08511 90.35533 91.71123 87.88660 84.67742 83.51955 84.82143 84.25926 83.62069 90.11628 94.54545 95.25140 88.07107 89.23077 81.94444 81.47321 76.23318 71.79487 71.25506 73.40000 71.59533 67.45455 66.78322 68.04124 67.50000 67.10098 65.81081 64.68254 63.49206 62.80000 59.92063 62.33422 59.71503 59.51777 57.50000 58.95522 58.85947 60.69307 60.13514 60.91954 61.53846 61.25704 62.02003 61.86161 61.19005 62.69841 62.86449 63.04348 63.68681 63.13364 62.21719 62.59370 56.66957 56.00258 56.18622 55.84416 56.19579 56.76279 57.62510 58.22562 58.73843 58.67537 57.32865 56.63231 56.13928 55.40222 55.06884 54.07265 53.33333 53.14885 53.10016 53.17822 53.04054 52.78649 52.62041 51.84780 51.10685 50.58347 50.43714 50.00000 49.43730 49.14384 47.47240 46.35055 44.45540 42.30769 40.39862 38.60691 37.26546 36.04250 34.49986 33.35421 32.33996 32.61756 32.70510 33.26098 34.49876 35.71198 35.56256 35.25846 34.85748 34.00143 33.18756 32.35846 31.72519 31.20416 32.56513 33.92857 35.59697 39.14776 43.82764 48.14241 55.31686 64.72810 74.93506 89.41176 99.27536 99.15254 107.84314 111.26761 112.58993 107.69231 106.75676 107.23684 107.69231 108.06452 101.47929 94.91525 93.88298 93.65079 88.38863 83.96226 82.39437 81.03448 83.59375 80.64516 76.81564 86.20690 88.54749 86.52850 79.42584 78.41410 79.13223 76.14679 77.21239 71.79487 68.29268 71.68675 66.42336 66.48936 67.79661 66.72131 65.18987 64.30518 61.25908 61.78571 60.58824 58.25688 57.85877 55.41761 56.01336 55.84795 55.98859 57.37705 56.05263 56.99482 58.40630 59.17832 59.08257 59.98294 58.55615 59.71660 57.53138 57.76398 59.19811 59.58904 61.07011 61.43617 59.72696 56.65779 56.83911 56.67964 56.78038 56.72392 58.06452 59.11129 59.19840 59.03543 58.21605 56.76934 54.85339 54.07407 53.43249 53.21429 52.81675 53.10623 53.11492 53.46546 53.74582 53.77317 53.39278 53.26805 52.53150 52.03620 51.74226 51.82013 51.56627 51.14998 50.63191 49.41439 47.42141 45.24648 42.87428 40.42806 38.07135 36.42363 34.98695 33.69035 32.06600 31.31001 31.48148 31.86592 32.53616 33.97974 35.14898 35.03424 34.37700 33.91892 33.57271 33.05277 32.62956 32.21401 32.00396 32.74918 33.30275 35.96740 39.09091 44.12010 48.41463 56.37255 64.62334 74.06015 90.03759 96.57534 107.75862 114.42953 120.00000 121.59091 118.79699 125.00000 110.21127 113.46154 113.82979 114.86486 109.81013 99.13793 97.28261 94.85981 85.17699 82.83262 77.15517 78.47222 72.57282 69.43005 75.83333 76.27119 79.34783 80.92784 79.28571 81.33333 75.24038 75.44643 76.20087 71.78423 71.51394 66.84783 67.36842 65.29605 64.53125 62.05357 62.94416 62.71186 60.96154 61.13173 59.94624 58.74786 57.33558 57.98669 56.50080 55.39906 55.95420 55.66038 56.04317 55.24729 54.55097 57.15461 54.84740 55.05952 53.00000 52.45399 53.47368 52.12982 52.09163 54.84914 55.12048 54.19776 57.30263 57.53573 58.01967 57.96460 58.27801 58.62561 59.26594 58.86525 58.59133 57.70240 55.93011 54.09727 53.28501 52.83248 52.45221 52.46150 52.37447 52.50123 52.35981 52.35306 52.64908 52.94975 53.20934 53.25694 53.42668 53.66424 53.97758 54.17407 54.02729 53.19922 52.24922 50.00000 47.51610 44.74708 41.85575 39.51673 37.34393 35.44282 34.47798 33.98172 33.46341 34.54184 35.20548 35.95828 36.85322 37.71552 36.55473 35.66957 34.84808 34.52289 34.39957 34.24188 34.06314 33.80408 34.43080 34.91124 36.64861 39.21639 44.32218 48.01980 54.61538 62.48375 69.75610 81.63265 90.85106 102.57732 114.42308 121.05263 118.75000 121.27660 117.39130 125.00000 120.99237 123.33333 116.32653 111.31387 106.37584 102.99401 100.55249 91.75258 84.90099 78.57143 75.24752 69.56522 66.83673 66.75532 67.14286 71.67630 75.28090 74.06417 74.26471 81.50000 79.03226 79.25311 75.47170 74.73118 72.44526 66.83673 64.06250 62.90801 63.09859 61.68831 62.16216 61.35321 59.21610 58.88000 57.60649 57.35294 56.21469 55.40752 54.94753 53.37678 54.39684 53.50780 53.67232 53.02303 52.37154 50.67568 51.05634 50.00000 46.28099 46.93878 44.50801 45.44393 45.60976 47.30942 49.40120 58.64496 59.18766 59.13379 58.60034 58.98129 58.80554 59.12365 58.17647 57.26364 56.61682 54.82673 53.72109 52.97450 52.38827 52.05534 51.83474 51.72131 51.45108 50.75341 50.21967 50.65709 51.36986 51.95246 52.77929 53.55030 53.97790 54.26280 54.78299 54.64457 54.28164 53.23470 51.03004 49.15144 46.12676 43.55490 41.36905 39.21536 37.68074 37.50976 37.40684 37.77324 38.67807 39.61927 40.24336 40.97489 41.52563 39.97379 38.07873 36.86619 36.61488 36.05465 36.40545 36.89510 37.67051 38.40293 39.63712 42.14527 44.33071 49.41748 52.57732 57.87129 64.03509 69.21488 77.09424 83.98058 91.50198 103.03030 108.33333 112.81250 118.45638 121.73913 124.45255 126.19048 126.15385 122.22222 119.42149 109.32836 107.00000 102.36686 95.90164 88.07107 79.71698 75.24038 67.41071 60.41667 59.51220 61.78010 59.62567 65.92179 69.38202 75.58824 73.80952 79.25000 80.26316 80.36437 77.84091 74.44444 67.46575 67.92453 62.31672 62.84530 60.68702 60.61321 59.31478 59.15354 57.37705 56.64894 55.50000 54.93730 53.25670 53.79518 52.50379 52.55138 51.68185 51.28205 50.11933 49.47796 48.38710 47.36000 46.51786 45.54795 41.79688 39.23913 37.24832 42.14123 43.09623 47.35450 60.78083 60.92105 60.50584 60.42199 59.98744 59.23266 59.36367 58.53418 57.18702 56.21001 55.40735 54.66966 54.37956 53.97878 53.46081 52.40000 51.01523 49.74168 47.75020 46.17003 46.19007 46.62654 46.88100 48.12316 49.19197 49.88825 51.02389 51.51674 52.00921 52.15498 51.44991 50.00000 49.08815 46.82011 44.80122 43.32130 42.09280 41.11815 41.58983 42.29383 42.85413 43.71365 44.68494 45.23193 45.56318 46.01840 43.99857 41.78135 39.51613 38.48614 37.73374 38.58696 39.86888 41.29500 43.63733 47.53086 50.50977 53.65260 57.28008 61.34454 65.25424 67.28625 71.13971 74.75107 78.38542 85.25346 94.41088 99.39024 102.46305 110.16484 113.06818 120.00000 123.38129 126.64234 119.23077 115.62500 111.58940 106.36943 101.75439 92.85714 83.08824 76.90583 67.45690 63.10044 59.61538 58.45070 54.39024 56.95876 54.86486 58.42697 63.00578 67.69663 72.10526 82.54717 81.68103 78.68526 74.92013 73.21429 68.75000 68.33741 65.16854 63.57466 60.62500 59.09980 56.34921 54.93730 55.23933 54.33025 53.77358 52.42553 51.42518 50.79418 49.62240 48.94837 48.94614 48.15725 47.12991 47.52066 46.83989 47.18750 45.19038 42.66442 38.37209 36.36364 39.23611 41.19497 44.38776 63.74663 63.17657 62.52185 61.73689 61.16279 60.30203 59.74421 58.33333 56.91592 55.66465 55.48647 55.63630 55.35908 54.91803 54.70172 52.75886 50.76508 48.44417 45.86957 43.72760 43.01573 43.44635 43.55828 44.76499 46.13181 47.25131 48.63636 49.64043 50.00000 50.83179 50.76661 49.89740 49.66074 48.25433 47.41541 46.27689 45.30702 44.44159 44.52398 44.53576 44.82318 44.69097 44.87979 45.00097 44.88748 44.72183 43.47177 41.92427 40.54229 39.94672 39.46033 40.62760 42.59259 44.90132 48.01215 53.03347 57.30769 60.49149 64.49360 65.19481 66.62269 66.50815 67.91531 70.62937 72.22222 76.41304 79.83651 83.43109 89.88764 95.85153 97.91667 99.24242 102.65957 106.98324 111.56069 111.81319 111.62162 103.69318 94.76440 92.85714 83.00000 74.19355 69.07895 65.38462 62.60504 58.00000 56.05381 56.36792 55.88235 56.06061 58.96739 63.11475 65.70681 73.07692 81.79724 76.35983 75.33784 73.11321 71.54696 70.64935 65.42056 65.00000 61.36842 59.24855 56.09137 53.84068 52.84916 52.30769 51.27986 50.20408 49.14067 48.27963 46.81360 46.44236 46.40164 45.71742 46.12701 45.45455 45.90643 47.02381 46.28713 44.59459 40.86022 39.39096 38.80090 37.96095 40.78498 63.94252 62.73210 61.76471 60.06410 58.10641 57.51540 56.65054 56.09227 55.30973 54.55568 54.86871 54.28571 54.77343 54.76748 55.25462 53.34087 50.98361 48.64272 46.56667 44.22463 43.67218 43.84781 44.03092 45.23664 47.03979 47.73794 48.24329 49.07228 49.63821 50.35261 50.53239 50.12010 50.00000 50.09491 50.00000 50.09823 48.86823 48.01396 47.20946 46.27880 45.23763 44.22890 43.15104 42.29140 41.80973 41.60813 41.41989 41.09399 41.22361 41.24343 41.24410 43.27586 45.87471 49.30350 53.72208 59.22731 63.69740 66.53659 70.18890 69.67213 66.56663 66.23529 66.07143 66.84636 68.32298 70.09569 72.30920 74.47034 79.58904 80.96774 81.05263 82.14286 89.95633 91.54930 99.25373 99.75610 103.46535 100.00000 93.84615 87.68116 87.50000 78.81773 71.83099 65.34884 66.43836 59.53390 58.82353 58.29787 56.19835 57.62712 59.41423 58.26271 64.87069 69.19431 73.23944 71.86441 73.22581 73.18182 70.14925 74.22096 68.93939 65.77017 61.61290 56.32530 53.31070 52.03804 51.34409 50.44776 49.04822 47.28507 46.80328 46.10036 45.63567 46.40339 47.39382 48.83978 48.74582 49.41234 48.80410 48.70912 48.44720 45.81006 43.03097 40.28777 38.54415 36.33178 39.48864 63.11329 62.14575 60.22897 57.67918 55.67529 55.21862 54.28177 53.92422 54.02021 53.98970 54.28217 53.91850 54.42804 54.83403 55.20446 53.39138 51.11624 49.22859 47.14145 44.96335 44.40116 44.71490 44.76135 45.71025 46.37948 47.00315 47.15415 47.63636 48.42263 49.05432 50.20633 50.71823 51.10999 51.62233 51.68297 51.30135 49.77015 48.45447 47.14554 45.52327 44.00000 42.95302 41.86001 40.80073 40.32851 39.90528 40.63888 41.69884 42.50585 44.17421 45.69175 47.63407 50.65934 53.90973 57.68953 62.61803 65.89109 68.73127 71.30584 68.32918 66.52844 63.83577 62.76178 62.50000 63.69382 65.67164 65.98837 69.91597 72.26804 72.74882 75.44170 75.00000 73.52941 77.09251 85.25000 90.97561 94.11765 91.22807 90.98837 86.87151 83.79121 80.31088 77.88945 73.30097 75.00000 70.42254 64.79821 64.12556 60.81731 60.14493 66.07143 67.56757 65.19824 66.16379 70.51282 69.69697 70.95588 69.91150 69.87952 71.12069 65.76923 63.77171 59.67742 55.83658 51.44231 50.72993 49.88281 49.04031 47.60726 45.78610 45.35398 45.36878 45.90736 47.41960 49.66997 51.40940 52.60736 53.26087 51.63488 50.60000 49.65517 46.33401 45.73460 41.88144 39.83051 36.46341 37.44770 62.25440 60.76336 58.74875 56.66504 55.16994 54.43662 53.79659 53.43357 53.33624 53.49724 53.78000 54.36343 54.90076 54.91020 54.86531 53.08025 51.12000 49.11497 47.60625 45.70124 45.10964 45.26618 45.40816 45.21803 45.31433 45.17508 45.56563 45.48736 46.74299 47.98307 49.50119 51.09447 52.38516 52.79416 52.30627 51.98292 49.94936 48.12909 46.34477 44.48724 42.56845 41.62266 40.54082 39.80305 39.33649 39.12556 40.82905 42.25904 43.92728 46.48712 50.00000 52.70062 56.03164 59.42029 62.54496 66.35514 67.62673 69.82083 71.03659 67.97603 66.20076 64.02878 61.35135 59.87342 60.89041 64.15094 65.48043 67.43666 70.03515 70.65868 70.37572 71.07843 71.85430 71.59091 71.70213 81.44105 85.82090 90.11628 86.84211 85.14286 84.28571 81.62162 79.21053 78.60825 72.90640 74.62687 71.53110 73.57143 71.85930 72.79412 67.94872 70.16807 69.59184 71.42857 69.25373 70.73733 68.91892 69.53642 67.41425 65.72890 62.87703 57.39437 56.69371 53.16558 49.41099 48.97661 48.08782 47.90087 46.27907 44.95739 45.50369 46.81664 49.09910 51.84758 55.27859 57.91411 57.11679 57.95287 55.10535 50.66079 48.33068 45.79741 42.77523 41.68675 38.78788 37.47390 34.28854 61.04772 59.07473 57.79610 56.09100 54.96165 54.44079 54.07834 53.70454 54.24837 53.98398 55.12770 55.90810 55.96128 55.70187 55.11711 53.42449 51.37454 49.51834 48.05546 46.15761 45.21413 44.79871 44.44626 45.12082 45.11593 45.76489 45.73930 45.89960 47.11538 47.72267 49.03751 50.27389 51.38329 51.39319 51.43272 50.89686 48.82972 47.03704 45.65529 44.08660 43.19984 42.87688 42.59819 42.45186 42.77056 42.91124 43.80967 44.71399 45.97823 48.19861 51.48206 53.61882 57.00613 62.08997 64.29163 67.23647 69.44152 70.02427 71.34387 70.40230 68.24324 65.31191 65.28846 62.36264 64.94141 66.72968 67.93814 70.13423 72.72727 75.28090 73.14815 73.54949 74.08759 76.98745 78.43602 79.71014 83.70787 88.92405 90.19608 88.96104 85.62500 80.17751 77.27273 73.41040 76.57143 68.84058 67.44186 68.49315 70.79208 72.24880 68.50220 70.08368 70.15810 72.22222 74.44089 73.01370 72.73936 73.89034 70.86331 67.60563 63.58025 58.60421 56.12745 53.31370 50.00000 48.91599 47.08249 46.28378 45.82474 45.33981 46.04651 49.31632 53.30761 55.63621 59.36473 62.48266 61.44244 57.78894 53.98230 50.93168 45.93949 45.09202 41.99179 40.48626 38.99821 36.18785 34.35039 58.58247 57.68645 57.20000 57.09360 56.16240 55.97723 55.35963 54.94134 56.04203 56.62139 57.47664 57.55587 57.82779 56.82845 55.60465 54.01499 52.04925 49.91734 48.17518 46.48483 44.98094 44.50102 43.69707 44.59335 45.56869 46.53313 46.92082 47.51462 47.95918 48.26021 49.32365 50.28791 51.21951 51.29014 50.55840 50.00000 48.37687 46.41077 45.23598 44.27749 43.51727 43.69422 44.11969 44.41661 45.22346 46.12903 46.58203 47.17538 48.14926 50.00000 52.11765 55.01706 58.38349 62.16216 65.12374 68.08732 70.47018 70.81152 71.82203 72.16274 71.14094 70.59497 67.85714 67.45843 67.86600 69.67213 72.18045 71.20419 73.01136 73.85321 74.16107 77.57353 77.43191 75.64103 80.58252 81.77340 84.94318 89.62264 89.26174 87.74834 82.27848 82.60870 76.78571 75.92593 66.47399 70.55838 66.58654 67.60563 70.35176 64.85849 70.57522 71.07438 70.94340 73.51097 73.54651 74.13366 76.78571 75.17241 72.92994 69.83471 64.71698 60.45918 56.99708 53.14961 50.48232 47.48954 45.68093 44.84501 45.36977 46.77215 48.65517 51.96399 56.06509 57.94798 59.91587 60.85384 60.59078 57.00000 51.81269 47.47320 42.88991 43.14442 40.62500 39.38294 38.13708 36.51376 35.45455 57.78008 57.36573 56.79416 57.06145 56.35346 56.30072 56.38149 56.36405 56.57662 57.09983 57.59193 57.43802 57.75692 56.73694 55.87159 54.46355 52.17014 49.74098 48.62652 46.79220 45.77027 45.22464 44.45199 45.87207 48.23298 50.34998 51.30256 52.18778 52.60989 52.47858 52.76753 52.90135 52.42561 52.34516 51.71723 51.00671 48.78978 47.14341 45.67114 44.46199 43.55218 44.26826 45.10157 45.67076 46.57287 48.04547 48.75077 49.14228 49.94329 51.75850 53.90260 56.69746 59.72097 63.76734 66.59506 69.08764 72.04724 73.23580 73.43750 73.56747 73.34630 71.95122 73.18501 70.81340 74.16880 74.19355 74.86842 77.35043 78.79257 80.29801 79.23729 77.70270 82.03883 83.33333 84.28571 88.88889 85.06494 85.52632 92.41379 91.37931 82.07547 77.60736 68.75000 74.10714 71.30682 64.06250 65.38462 63.97059 66.82927 63.76147 64.82213 66.72862 67.58621 70.56856 72.36025 74.85955 72.98701 74.07407 74.37500 73.04965 68.12914 64.46588 60.90226 55.49020 52.27519 48.48901 45.96031 44.94819 46.42857 47.55601 50.22642 53.73921 58.04795 58.59459 59.47165 58.64106 55.86592 52.55814 48.14050 44.57580 41.72414 39.91803 39.61353 38.72549 39.28571 38.59504 36.61202 57.31132 57.21676 56.87023 56.83868 56.11193 56.49351 56.63842 56.69890 57.27436 57.48687 57.64563 57.10613 56.90060 56.72958 56.33324 54.72028 52.42475 50.37892 48.97578 47.42842 46.64430 46.30081 46.08860 47.82301 50.44872 53.48176 55.43529 57.01001 56.91311 55.78406 56.13238 55.49033 55.41018 54.70000 53.83142 52.95824 50.51750 48.48549 46.71690 44.73212 43.09806 43.80734 44.40772 45.12828 45.99755 47.72600 48.90337 49.52077 51.17091 52.04280 54.33131 56.49867 59.65732 62.77778 65.63275 69.30070 71.00457 73.40000 73.07692 73.07692 72.97297 73.59155 72.82609 74.22096 73.45133 76.59884 75.84615 80.50000 79.25532 79.66418 85.46798 79.69543 82.88770 80.33708 85.67073 89.62264 85.29412 86.27451 87.50000 79.06250 80.18293 74.56140 67.24138 66.48352 62.83422 62.75000 60.14493 62.79621 59.58904 59.95575 60.30534 63.53791 64.14141 67.00000 68.11146 69.83471 72.57653 73.29412 73.46939 73.17328 68.45494 66.20603 60.44304 56.46259 52.88184 50.13032 46.78571 46.44847 48.98649 51.10837 53.06122 56.29834 58.43990 57.17073 57.12707 54.83871 51.57710 47.79141 45.09434 42.23485 40.08895 39.42953 39.28571 39.61353 41.65261 41.05263 42.07547 56.09177 55.70610 55.47558 55.69332 55.74627 56.14634 56.59341 57.38397 58.03571 58.51968 58.82721 58.75954 58.75978 58.11249 57.49449 56.08616 53.92814 51.79122 50.50980 49.13398 48.19704 48.39688 48.93039 50.76591 53.27245 56.80613 59.50495 63.36117 62.40364 60.86957 59.65704 58.98876 57.51708 56.53595 57.46844 56.99482 53.74315 51.63467 48.27510 45.25253 42.50000 42.59515 42.39246 42.81701 44.13713 45.95186 47.23247 48.85362 50.71819 51.64261 53.64078 55.31069 57.93951 61.64542 64.19753 68.60283 70.72539 73.43750 73.78517 74.33628 73.85321 74.45141 67.71218 68.67925 71.34387 74.30830 78.63071 81.61435 83.01435 79.85075 85.93750 83.24324 87.70492 85.14286 81.21387 84.90566 83.87097 80.37975 83.87097 80.57325 77.60736 69.82759 70.83333 65.62500 60.39604 59.06977 55.35714 57.20524 54.28571 57.14286 59.57447 61.73469 60.71429 61.36364 64.26513 67.15543 69.97283 70.86331 70.61856 70.13575 67.11268 62.78511 58.52273 54.99537 51.94332 50.11547 48.88060 49.65623 52.55376 55.87349 57.32123 57.71096 57.26872 55.08794 54.58971 50.89021 47.34513 43.98148 41.95026 38.26597 38.40105 39.82609 39.10035 41.94631 44.23077 46.70932 47.18574 54.76948 54.41176 54.36137 54.13476 54.44054 55.32807 56.75872 57.98479 58.58939 59.78112 59.78261 59.92535 59.88080 59.14174 58.53689 57.16107 54.92757 52.70270 51.31660 49.88311 48.99854 49.95772 50.79576 53.02560 55.95420 59.52237 62.87509 66.42749 66.30686 63.64535 62.25490 60.40670 58.11456 57.70706 57.07335 57.42574 55.24691 52.77281 49.69008 46.07299 42.92720 41.28392 40.08292 39.83766 40.64687 41.35053 42.73050 44.41048 46.16407 47.57525 48.76118 50.62709 51.38817 52.21296 54.83092 58.01527 61.53846 64.87069 67.30769 66.17251 66.25000 64.40678 64.07942 66.48352 67.64706 69.54023 74.29150 75.10460 79.33333 80.56872 82.25806 81.49171 82.96703 76.66667 79.14286 75.29070 76.94611 76.20482 77.10843 75.58824 70.27027 67.87565 64.10891 59.76744 58.00000 51.23457 53.47490 55.70342 54.90909 53.68421 54.34084 54.67290 59.34579 58.95522 60.40462 61.17479 66.08579 66.40091 65.70313 65.68365 61.82266 58.95288 57.10306 54.44251 51.30332 51.53785 51.68946 53.58362 56.72783 60.68925 60.92328 58.08190 56.82635 53.39096 49.14651 46.12462 42.79070 40.03322 37.77955 35.21463 36.16852 38.18493 39.04924 42.93831 46.37306 48.68421 49.74093 54.26045 54.63259 54.17981 53.94737 53.79939 54.84592 56.31734 58.08859 58.41584 59.21887 59.59729 59.79399 59.80169 59.51904 59.39486 57.66332 55.20833 52.79247 51.48899 50.00000 49.40072 50.39205 52.08901 54.49735 58.34132 62.59344 65.56988 68.73589 68.66252 66.33416 64.13934 61.42020 58.63539 57.08419 56.73913 55.72519 54.85232 53.04762 50.51020 46.55892 43.87187 40.46455 37.65324 36.44475 36.91715 37.29923 38.59208 40.39092 41.93412 42.69158 43.92962 45.25180 44.82063 44.50172 46.43917 50.27675 50.65789 56.04027 61.44737 59.21053 59.45946 59.57447 60.87786 62.74131 63.09524 64.82213 69.29461 72.53219 75.22727 78.98551 79.50820 78.97727 77.56757 70.85561 68.44920 64.75410 67.30769 63.78378 65.40541 60.88083 61.02941 59.76744 58.74439 56.96203 52.33463 48.92086 50.00000 50.00000 48.61963 46.83735 50.00000 50.00000 53.31695 54.67532 58.91473 57.91667 59.66495 58.47280 58.65801 57.59952 55.51839 53.43184 52.65018 52.21811 51.46928 53.18108 55.16351 57.14286 59.43060 63.91542 60.01420 57.66667 53.23496 49.46996 45.29617 43.44569 42.06452 40.21277 38.20475 35.56281 35.71429 37.66730 37.74319 40.76087 44.09006 44.24132 47.37303