ncols 127 nrows 57 xllcorner -124.81250 yllcorner 45.50000 cellsize 0.06250 NODATA_value -9999 21.39142 21.30086 21.15185 21.01963 20.41685 19.50666 18.64018 17.89656 16.94765 16.18900 15.81395 15.35481 15.05739 15.41722 15.89396 17.26519 19.49548 22.46531 23.70384 25.02945 26.68122 26.08601 25.08606 24.78831 24.93797 24.89895 25.16441 25.78675 26.17866 26.12142 26.11004 26.08486 25.76499 25.43066 25.23207 24.88584 24.64321 25.76895 26.84405 27.18069 26.40891 25.46656 23.57571 21.07735 19.11150 17.51701 16.34161 15.45750 15.65957 15.98491 16.37882 16.47798 16.68157 16.36995 15.76917 14.93538 14.29188 13.49520 12.96826 13.57511 14.15363 14.96259 16.55724 17.84548 17.77278 17.46828 16.80912 16.00796 15.13663 14.36573 14.04769 13.84100 14.45144 15.87486 17.38869 18.92192 20.62363 23.03583 23.49043 24.37121 25.58494 28.26087 31.48668 34.07080 34.71698 35.69636 34.25606 33.81579 33.03055 32.54885 30.96717 30.10204 31.12676 31.44491 30.80645 29.89237 28.82527 28.57143 27.94118 27.16654 27.98673 29.59726 29.11677 28.10629 26.42394 25.19757 24.81102 24.51628 24.54418 24.76395 25.18892 26.22692 26.78486 26.92308 26.10683 25.45455 24.37186 23.89189 23.19773 22.31481 20.60982 20.29851 20.44242 20.41964 20.32469 20.25188 19.93392 21.22029 21.15863 20.86508 20.58983 20.36371 19.95830 19.58698 19.03990 18.23352 17.49387 16.66465 15.61226 14.93704 14.73727 14.51199 15.29015 16.84211 19.31485 21.33758 24.08619 25.91601 25.62189 25.51431 25.16734 25.70796 25.42595 25.86207 25.93583 26.12415 26.73888 26.93145 26.90647 26.64640 26.42857 25.97243 25.36192 24.78273 25.26076 25.79646 26.04860 24.81172 23.64597 21.89073 19.95062 18.32722 17.56919 17.18439 16.98895 17.20187 17.40000 17.77137 18.03049 18.37701 18.30181 17.84998 17.45579 16.52911 15.38175 14.21628 13.99679 13.61366 13.96533 15.80355 16.92410 17.32070 17.19011 17.24891 16.85830 15.92428 15.25097 15.18375 15.00434 15.74379 16.82147 18.40155 19.59381 21.24941 23.02100 23.57414 23.70787 25.02226 28.99344 32.41107 35.00000 36.10039 37.11409 37.24619 35.85462 35.15551 32.76723 31.04478 30.08172 30.72709 30.94984 30.00000 29.12371 27.81915 28.36991 26.93322 27.02350 27.38693 27.68385 26.75185 24.89796 23.57087 22.43360 23.19719 23.42758 24.73592 26.39426 27.61931 29.09836 30.16069 29.37500 28.68195 26.62116 25.24331 23.49645 22.18407 21.60627 21.05655 20.20045 19.78254 19.32374 19.39971 19.79522 20.13629 19.92091 19.79589 19.48130 19.17327 18.83043 18.70440 18.46977 18.18375 17.73982 17.32852 16.37627 15.34496 14.53521 14.28350 14.10593 14.93685 16.19663 17.98273 20.30405 22.48521 25.06024 25.44112 26.14352 26.04078 26.44231 26.22876 26.66214 26.66373 26.48196 26.72840 27.15322 26.72840 26.96737 27.02654 26.65631 26.13266 25.50371 25.12900 24.66285 24.24830 22.83254 22.12628 20.79169 19.18187 18.06878 18.63136 19.52814 20.41175 20.46690 20.41598 20.70959 20.87700 21.11201 21.32024 21.41818 21.37763 20.32293 18.77532 16.92893 15.29876 13.78929 13.40180 14.63682 15.52080 16.17171 16.76620 17.71055 17.04295 16.64721 16.32747 16.63767 16.77931 17.57412 18.83687 20.10173 21.09635 22.38986 22.92382 23.28219 23.91304 25.77904 28.43750 31.91624 33.28632 35.39977 36.89139 36.66334 36.66348 36.35110 33.43750 30.94758 30.24316 30.75540 30.19925 28.32258 28.37684 27.48227 26.84157 25.07599 25.48519 24.95336 25.58140 24.68582 22.59226 21.03004 21.98868 22.78332 24.06581 25.54653 26.89531 27.91741 28.30882 29.07855 27.91274 26.54578 24.87047 23.20819 22.56477 21.71717 21.76193 21.78998 20.49608 19.75327 18.81146 19.19687 19.75914 20.02501 17.63938 17.75566 17.40834 17.06576 16.76953 16.75435 16.69651 16.75474 16.82505 16.90240 16.00719 15.00124 14.14496 14.02065 13.80178 14.39991 15.60150 17.29027 19.12049 21.69209 24.18224 25.03030 26.30252 26.96799 27.27873 27.37105 27.72277 27.32652 27.06906 26.81196 26.80039 26.49770 26.46211 26.66409 26.62842 26.00459 25.78327 24.86063 23.78738 23.26410 22.34082 21.87653 21.21985 20.62291 20.20045 21.20527 22.50000 23.54478 23.34502 23.14949 23.14156 23.26884 23.37066 23.46358 23.33779 23.35973 22.14765 20.42406 18.28711 16.05435 13.50170 12.09249 12.92939 13.72430 14.62433 15.57744 16.24441 16.65108 16.68067 17.14748 17.49702 18.00251 18.85009 19.94451 20.95149 21.69811 21.95846 22.73642 23.19026 24.12639 25.62989 28.75475 31.42045 33.39768 34.33079 36.28049 36.37993 37.32809 37.26145 34.24370 31.95825 30.39024 30.66667 28.31126 27.56041 27.27273 26.02524 25.39388 23.96932 22.89855 23.74670 23.77261 22.55795 20.50000 19.66427 21.13527 22.79503 24.10272 25.60628 26.93935 27.57785 26.61072 26.14362 24.15644 22.78481 21.18016 21.13112 20.91837 21.05383 22.11538 22.48560 21.46371 20.60448 19.35976 19.50067 19.69244 19.77118 17.80166 17.54959 17.08238 16.61153 16.27581 16.42031 16.39100 16.41691 16.40655 16.28863 15.59751 14.68314 13.80578 13.78940 13.73308 14.30733 15.32515 16.84603 18.69645 20.88265 23.29460 24.92057 26.41231 27.34478 27.98289 28.23691 28.29282 27.97784 27.32936 27.18069 25.86207 25.73423 25.71871 25.42230 25.34902 25.94655 26.01507 24.88506 23.43173 22.69201 22.42171 22.21045 22.28005 22.48492 22.66422 23.89338 25.01880 26.06897 25.84486 25.55778 25.31719 25.26733 25.27911 25.05654 24.80489 24.69774 23.27974 21.47874 19.05286 16.41495 12.83755 10.83106 11.25186 11.84681 12.61409 13.39967 14.21648 15.35348 16.72727 18.01696 18.57058 19.19685 19.92019 20.47022 21.92460 21.86520 21.68014 21.95358 23.15886 23.83721 26.07004 28.58974 32.04225 33.31422 34.78261 36.73077 37.34533 39.02857 38.21549 35.80442 32.79766 31.22407 30.02336 27.95100 26.61597 26.43281 25.48818 23.93013 22.33945 22.02216 20.85153 21.26761 20.88175 20.14162 19.21599 20.27231 21.33758 22.64922 23.67865 24.40559 24.65347 23.20534 22.68495 22.04409 21.20718 20.23622 20.69724 20.84583 20.99402 21.29808 21.69327 21.10347 20.48371 20.01868 19.94186 19.96587 20.31250 18.71144 17.85633 17.27756 16.68219 16.34745 16.46086 16.60339 16.49538 16.38017 16.15961 15.59902 14.98881 14.28155 14.21271 14.12089 14.34259 15.09787 15.98394 17.41121 19.05204 21.35599 23.05219 24.80445 26.46154 27.35081 28.10321 28.36338 28.15290 27.85401 27.34952 26.53673 25.87867 25.96726 25.39683 25.64979 26.02858 26.47893 26.10040 25.07251 24.52387 24.16099 23.84439 23.86254 24.18377 24.38591 25.00890 25.67457 26.29843 25.95511 25.67521 25.43103 25.21279 25.08143 24.80761 24.43648 23.96662 22.53849 20.49439 18.11867 15.72355 12.87247 10.99498 11.08903 11.30173 11.39241 11.94809 12.53058 13.93862 15.81250 17.02643 18.07074 18.67786 19.78700 20.94488 22.16667 22.87986 22.93780 23.90382 25.28466 26.25821 27.92683 30.34884 33.54488 35.10858 35.76389 35.90604 37.16216 37.89474 37.28814 34.84487 32.21649 29.53615 28.40270 26.54774 25.77540 24.88688 23.25905 22.38690 20.68127 20.04792 19.72765 20.05316 19.73761 19.60986 19.13580 19.39415 20.40971 21.20482 21.90776 21.80926 22.17973 21.62791 21.12709 20.86525 20.51471 20.59392 20.05478 20.60811 20.32040 20.45530 20.53415 20.69106 20.96965 20.62898 20.58824 20.50389 20.92536 21.40507 20.82589 20.04684 19.30191 18.68805 18.50268 18.33359 18.00157 17.58836 17.07829 16.60750 16.18735 15.72467 15.51465 15.11777 14.78851 14.96209 14.91908 15.69361 16.91905 18.70400 20.33898 22.81324 24.94591 25.69382 27.36376 27.84722 28.06723 28.46696 28.26993 27.26639 26.80899 26.95177 26.73679 26.84752 26.75400 27.40664 27.38445 27.11572 26.97925 26.29842 25.58850 25.37532 25.65170 25.76010 25.92966 26.04041 26.16179 25.82945 25.40637 24.97705 24.79142 24.51970 24.06125 23.49719 22.86538 21.26573 19.35560 17.27788 15.34915 13.14537 11.82394 11.23008 10.86133 10.88151 10.62346 10.58958 12.24924 14.66576 16.25737 16.93608 17.95455 19.42075 21.54679 23.59513 24.26821 24.66216 25.58824 26.47059 28.03571 29.59343 32.32024 34.30532 35.42689 35.58011 36.24031 36.36364 36.33218 35.36165 32.67766 30.67376 28.36226 26.73580 25.25000 24.46211 23.07331 21.59091 20.07640 19.22414 18.40796 18.66071 18.75000 18.93708 19.07121 19.17939 19.52104 19.53883 19.61039 19.90916 19.83821 20.97107 21.99125 22.13168 21.93396 21.21212 21.15385 20.82245 20.36128 19.84765 19.69152 19.77294 19.96012 19.75806 19.64863 20.24733 20.88150 20.94206 23.58750 23.22636 22.47529 21.73611 21.19190 20.98211 20.78379 20.40134 19.64658 18.86425 18.36200 17.77872 17.12724 16.76578 16.06873 15.58176 15.32284 14.89362 15.17297 16.03774 17.41242 19.04919 21.38306 23.55911 24.91174 26.83721 28.17033 28.84371 29.56227 29.88677 29.85866 29.56100 28.54922 28.05627 27.52587 27.49245 27.12589 27.27848 27.94466 28.02043 26.38804 25.35692 24.60695 24.13793 23.94080 23.79551 23.65871 23.62752 23.35249 23.29044 22.88372 22.29895 21.69250 21.07926 20.67933 20.11086 19.43210 18.70144 17.70996 16.01307 14.30358 12.87039 12.27637 11.51883 11.29032 11.29712 11.29394 12.34768 14.11528 15.54404 17.07768 18.83495 20.70376 22.80130 24.70414 25.97254 26.74364 27.48619 28.57143 29.99139 31.51066 33.37875 36.12266 36.73349 36.37787 37.09677 35.60427 34.50119 32.66590 29.90762 27.83726 26.84157 25.32089 24.11504 22.11646 20.48479 19.22710 18.44784 17.71357 17.90865 18.10657 18.21724 18.85657 19.16996 19.27176 19.37120 19.18429 19.43765 19.56989 19.50673 21.23984 22.78713 23.00593 22.90373 22.06745 21.57895 21.09635 20.37037 19.72420 19.21642 19.00000 18.26087 18.58675 18.82248 19.60422 20.47913 21.04766 21.16325 21.96107 22.75365 23.70343 24.56795 24.87485 25.24457 24.89969 23.59601 22.37533 21.08496 19.97969 18.72867 18.07152 17.21179 16.38751 16.01136 15.21036 15.30484 15.58129 16.58357 17.92657 19.86155 22.12281 23.94976 26.09700 28.00378 29.61165 30.45541 31.52709 31.59341 31.69431 30.79417 29.23077 28.04314 27.22222 26.58610 26.94908 27.44600 27.83055 26.15104 24.73542 23.45293 22.23859 21.47958 20.88484 20.36533 19.87900 19.96093 20.04567 19.91753 19.33391 18.83169 18.40618 18.26067 18.04825 18.08738 18.20717 18.09982 16.70046 15.06628 13.57427 12.64869 11.44934 11.15204 11.35938 11.46927 12.25248 13.42164 14.95633 16.83014 19.98351 21.79732 24.55446 27.53950 28.46741 29.23331 29.65571 30.32110 31.60763 32.90230 35.30784 37.94926 37.26415 37.24066 35.53387 34.24508 33.54430 31.23153 28.63415 27.64811 25.38660 24.07975 23.67101 21.16564 19.55185 18.12169 17.64482 16.80147 16.98113 17.75401 17.97667 18.87540 19.59911 19.94665 19.44444 18.72714 18.93281 19.30423 19.69806 21.90554 23.47561 24.02827 23.37500 22.18430 21.59523 20.72848 20.15810 19.46029 18.66252 18.23802 17.58422 17.45783 17.65483 18.08952 19.20485 19.49673 18.00637 18.90054 20.45834 22.02260 23.47584 24.52100 25.33578 25.49329 24.67470 24.06869 23.02005 21.83771 20.76818 19.88138 18.80874 17.69695 17.06782 16.32894 16.01219 16.47305 17.47679 19.09991 21.15805 23.56965 25.37611 27.03791 28.63458 29.07175 30.36426 30.75851 31.16232 31.26220 29.78589 28.51986 27.21519 26.17358 24.70437 24.69455 25.18797 24.82814 23.76550 22.88264 21.86255 20.59349 19.46729 18.76477 18.18641 17.53292 17.31992 16.94629 16.69930 17.05961 17.20492 17.19964 17.14120 16.90240 17.51838 18.15287 18.47042 16.93084 15.12714 13.45393 11.97548 10.27213 10.17052 10.43173 10.96823 11.49709 12.69330 13.92753 16.57841 20.22613 23.66687 26.65370 31.02156 31.60377 31.47773 31.90145 33.33333 33.60000 35.19669 36.76880 38.93443 38.72437 36.97183 35.97951 33.80424 32.61682 31.10926 29.10603 28.09612 27.47989 26.48000 25.01973 23.70130 22.27626 20.00000 19.57380 18.34862 18.13472 18.35237 18.60833 19.15493 20.13531 20.08310 20.18987 19.62291 19.75355 20.19299 20.11278 21.69604 22.56809 22.95806 22.66624 21.88571 21.30225 20.28958 19.69199 18.96120 18.74369 17.51788 17.51553 16.72662 16.97674 17.28045 17.82768 18.63694 15.00488 14.20973 14.48141 15.22911 15.97152 17.79909 19.89428 21.74460 23.30386 24.79871 25.21463 24.71204 24.26347 22.93938 21.30282 19.60177 18.60058 17.27026 16.87721 17.53446 18.24147 20.14706 22.03297 24.85068 26.10378 27.54754 28.78788 29.39759 29.56628 29.83725 30.12310 30.25478 29.07682 28.09524 26.28743 24.97162 23.73198 22.60677 22.19888 22.23900 21.68367 21.58799 21.23706 20.54795 20.03410 19.24251 18.15853 17.04745 16.37011 15.37775 14.75155 15.44539 16.31256 16.59492 16.59102 16.84339 17.16730 17.65144 17.82115 16.29025 14.46683 12.89519 11.17233 9.16736 8.95941 9.45101 10.00984 10.62053 11.38928 12.41176 15.23688 19.21899 23.20778 27.00642 32.25646 33.52601 33.10345 34.32018 34.90491 35.89933 37.02032 38.00592 40.82618 39.11007 38.20024 36.60377 34.15698 32.89817 31.66287 30.90149 29.96743 29.44882 28.73766 27.35849 26.24378 24.07895 23.37838 21.75325 20.18961 19.91730 19.64652 19.54430 20.04910 20.58824 21.19342 20.56075 20.53388 20.56686 20.33081 20.53957 20.65614 20.99698 21.58895 21.62958 21.01281 20.67851 19.76658 19.19972 18.96249 18.34445 18.19591 17.33508 17.02089 16.86296 16.74699 17.35460 18.07676 14.45087 13.40440 12.95732 12.88000 12.81444 13.55879 14.64779 15.45145 16.91046 18.45932 19.44056 20.05740 20.60550 20.29460 19.81173 19.34407 18.86722 18.20535 18.25197 18.80223 19.88695 21.67165 23.72397 25.73420 26.91091 27.50836 28.35951 28.66709 28.57143 28.90173 28.70370 28.21670 28.19434 26.97274 25.88195 24.24699 22.41576 21.25984 20.55256 19.92590 20.51672 21.10371 21.54472 22.17372 22.59136 21.44524 19.55956 17.96431 16.67021 15.25543 14.04777 14.98625 15.96785 16.79299 16.90595 17.04880 16.79870 16.65412 16.25213 14.94218 13.39549 11.78759 10.35078 8.24637 7.88801 8.01773 8.42121 8.87801 9.24092 10.48931 13.39633 16.00249 19.59022 24.77427 31.17241 32.46426 34.13586 35.66553 36.21262 38.13736 38.93572 40.18692 42.23181 41.11650 40.42887 39.83871 36.76471 35.21595 33.65477 33.33333 32.29814 32.73273 32.28228 31.97617 30.00000 27.82847 27.12816 25.63131 23.90767 23.00242 22.47638 21.72736 22.09091 22.36842 22.41625 21.57506 21.86655 21.23480 20.51887 21.01449 20.44566 20.61369 20.52545 20.48518 20.88452 20.06783 19.33086 18.61332 18.94682 18.89483 18.08511 17.70794 17.15247 17.23568 17.30296 17.16490 17.96910 15.35185 14.43709 13.71694 12.89634 11.97499 11.27997 10.45930 9.68004 10.07920 10.39120 11.18363 12.58704 14.08307 15.02421 15.77071 16.84350 17.09738 17.61242 18.28473 19.10629 20.30879 21.85123 24.16365 26.25608 26.91652 27.34328 27.52322 27.54264 27.60885 27.88889 27.86177 27.86367 27.74194 27.02703 26.05932 24.28035 22.46892 20.94668 19.93007 18.92354 19.84649 20.76588 21.25436 22.38072 23.11696 21.92557 19.71604 17.92619 16.57692 14.99447 13.64956 13.82063 13.87954 14.26520 14.65331 14.97435 14.83581 14.69259 14.45087 13.57993 12.50000 11.33721 10.18267 8.79713 8.38485 8.51842 8.68664 9.07946 9.01446 10.05835 12.21439 14.43907 18.05367 22.83951 28.79248 31.05366 33.82477 36.51982 37.66389 39.90719 41.32231 43.37662 43.93531 44.09283 42.56466 42.05405 38.98734 37.25262 36.74636 36.95000 36.26883 35.26490 35.36184 36.27557 34.09506 32.73585 30.53977 28.93617 27.48123 26.59314 25.49020 24.45055 24.48171 24.58963 24.08322 23.17562 22.63249 21.90813 21.85430 20.77206 20.82430 20.24247 20.10753 20.69079 20.34884 19.93262 19.32531 18.80175 18.70000 18.66759 18.64224 17.90945 17.87176 17.62590 17.72234 17.78013 18.09679 16.18050 16.18625 15.72089 14.99794 14.23294 13.20401 12.13869 10.80146 9.97552 9.11126 8.35141 8.01570 7.67890 8.05369 8.61666 9.62697 10.56803 12.06268 13.61089 15.44289 17.72071 20.16461 22.67385 25.38235 25.72308 25.51414 25.83222 25.97973 26.36986 26.91397 27.27621 27.98063 27.60664 27.73696 26.89938 24.91803 23.58896 21.76371 19.54887 18.31533 18.91995 19.84589 20.73726 21.90701 23.10675 21.70196 19.42493 17.71877 16.15658 14.66908 13.32297 12.67473 11.92320 11.49778 11.81615 12.05259 12.19417 12.33344 12.37288 12.08217 11.67979 11.09890 10.26259 9.23230 9.17590 9.44931 10.00613 9.68232 9.30443 9.70437 11.66013 13.37561 16.66141 21.33621 26.93257 29.45466 33.50108 36.94620 39.08524 41.94415 44.53039 46.25000 48.25581 47.24455 46.18497 45.02857 43.94993 41.50198 40.92593 41.72794 40.99660 41.60448 41.88235 41.55405 39.61424 37.35465 34.94318 33.45361 31.10000 29.74246 28.43924 27.93572 27.36044 27.54360 26.68453 26.13636 25.70694 24.66044 22.94360 22.29021 21.83863 20.76372 21.33758 20.90301 20.79818 19.85646 19.65812 19.10591 18.93116 19.22366 18.85593 18.05891 17.73300 17.40122 17.29272 17.28507 17.69129 17.13416 17.64152 17.60307 16.77461 16.13869 15.08883 13.82967 12.55853 11.13832 9.60379 8.08619 6.98355 5.56884 4.89743 4.87207 4.71235 4.90774 5.53058 6.42095 7.52864 9.45798 11.64602 14.51613 17.51078 19.34370 21.68936 23.31589 23.76426 24.95146 25.55129 26.74772 27.22576 27.60690 27.82101 26.55223 25.22184 23.97959 22.01889 20.72094 18.88331 19.08094 19.49064 20.03739 20.70692 21.46697 20.65849 19.30436 18.13331 16.48098 14.88906 13.77949 13.42135 13.09971 13.08710 13.27422 13.69221 13.74408 13.87363 13.78779 13.36192 12.91754 12.71125 12.35420 11.69535 11.53754 11.53287 11.60333 11.73469 11.50713 11.65667 13.75174 15.64463 18.46247 22.03966 26.62835 29.31034 33.41942 37.12297 41.15756 43.42561 45.09685 47.55102 49.15134 49.15374 48.85787 48.12265 46.73913 45.85526 44.70366 44.58484 44.13793 43.99351 44.58092 44.04925 43.69895 41.38122 38.88889 36.81507 35.16484 33.11688 32.18430 30.86630 30.88456 30.91544 29.98411 28.94507 28.39301 26.97900 25.13767 23.77226 23.21041 22.45353 21.97428 21.14248 20.87186 20.62615 20.52941 20.41436 19.37843 19.57978 19.12040 18.25397 16.98017 17.05021 16.52584 16.07322 16.65834 17.54983 18.23452 18.64303 18.24529 17.97562 17.47664 16.74681 15.99588 14.47368 12.64974 10.89278 9.29045 7.42865 6.03605 4.64091 3.08475 2.21840 1.27196 0.60104 1.05263 1.59545 3.06346 5.33307 8.42799 11.94482 16.31737 20.76796 22.52947 24.32558 25.09276 26.20936 27.31481 27.29970 26.84169 26.30988 24.39278 24.10423 22.86845 21.00188 20.02641 19.70803 19.09605 19.14492 19.69746 20.14460 19.82270 19.36360 19.04444 17.28051 15.57092 14.36520 14.32065 14.21677 14.40654 14.86719 15.27477 15.23158 15.23551 15.17009 14.71020 14.39865 13.98836 13.82402 13.65198 13.43834 13.23408 12.89267 13.11868 12.86765 13.54167 15.79643 18.16371 20.50060 23.61726 27.09360 30.06263 34.12298 37.97251 42.27820 45.19112 48.01325 49.77444 51.41509 52.12598 50.84151 51.24481 50.46012 49.10180 49.77876 47.61561 47.65292 48.15951 48.02632 45.71429 45.33459 44.38153 42.48768 41.21253 39.41176 36.81319 35.79235 34.31818 34.19619 33.67159 33.57866 33.22813 32.24382 29.80333 27.55396 26.32135 25.32369 24.33281 23.23151 22.69103 21.21622 21.99612 21.53285 22.00000 21.79226 21.88119 21.20316 19.98567 18.80756 18.11199 17.11153 16.38184 16.20879 18.11258 18.91811 19.60893 19.51904 19.45641 19.24972 18.89947 18.62445 17.28176 15.77219 14.36548 12.95726 11.46962 10.25297 8.91735 7.63345 6.51277 5.06221 3.47123 2.68435 1.64308 1.13303 1.80110 2.41679 4.54985 7.57266 11.00833 13.79082 16.76218 19.59459 21.52778 24.20213 24.63170 24.02512 23.45478 22.71073 22.04270 20.60922 20.09123 19.30550 18.90034 18.50127 18.42105 19.55281 20.30117 21.01707 21.63681 22.24780 20.18712 18.14203 16.80243 16.45667 16.24188 16.41426 17.04470 17.69941 17.71627 17.65189 17.38042 16.52138 15.55516 14.86333 14.43917 13.92926 14.27508 14.19219 14.32039 14.78743 15.13926 16.28183 18.05625 20.68376 23.43949 27.37127 31.46067 34.10326 38.14872 41.61572 44.93671 47.87485 49.05063 49.57507 50.22422 50.20747 50.83102 48.77717 47.99703 48.03779 46.37269 45.66116 45.10204 45.84615 44.65875 44.17040 43.19899 42.89941 41.11732 40.09067 39.77695 38.61720 36.92946 36.67007 35.98985 35.47401 35.45000 35.14563 34.50704 31.74487 30.39832 28.61915 27.45253 26.53971 25.33058 24.01091 23.69520 23.73802 24.31948 23.98486 24.42197 24.63918 23.66337 22.25792 20.89453 18.98190 17.79661 16.65921 16.22889 18.70434 19.97341 20.83730 20.76236 20.64614 20.59271 20.53602 20.48504 19.67248 18.85998 17.93245 16.71329 15.56710 14.43466 13.19769 11.99552 10.48193 8.67439 6.54298 4.83333 2.64260 1.20100 0.90107 0.52404 1.97384 4.05839 6.92921 9.84405 13.20448 16.84397 19.30365 21.88917 22.29448 21.67769 21.22786 20.71470 20.18686 20.09885 19.21053 19.31530 18.29746 18.10870 17.78000 19.23848 20.50134 21.76334 23.03432 24.04074 21.94564 19.87600 18.35736 17.75746 17.17902 17.22025 17.83953 18.46582 18.40401 18.19160 17.99614 17.13117 15.96408 15.11345 14.63381 13.98162 14.27390 14.96799 15.71193 16.38726 17.46204 18.93676 21.07309 23.86635 27.10312 31.52493 36.45598 38.84758 42.32383 46.76664 48.33887 50.18270 50.58065 50.21614 50.45524 49.36261 48.72702 47.48252 47.70291 46.00592 45.21045 44.27966 42.33425 41.27358 42.04368 39.96960 40.04149 39.64143 40.60102 39.33333 39.55966 38.39542 36.87151 37.09528 36.27557 35.90713 35.60127 36.20853 36.53846 34.32653 32.37354 31.55080 30.17983 28.18396 27.94118 27.28873 26.48936 26.75620 27.05761 27.78519 28.77358 29.59108 28.10591 26.01240 24.47539 22.42689 20.60159 19.36170 18.72682 18.89751 20.09781 21.05415 21.37355 21.61448 21.63361 21.38080 21.30392 20.80075 20.42096 19.98460 19.25857 18.60063 17.89725 17.20061 16.50743 16.02941 15.55082 15.00184 13.46479 11.83159 10.46641 9.64559 8.50923 8.55975 8.97317 9.59561 12.04453 15.02010 17.68332 19.54023 21.51239 21.35854 20.59639 19.57685 19.54839 19.30202 19.28783 19.13161 19.42758 18.85645 18.44996 17.71148 18.55984 19.42557 20.23875 21.47462 22.45480 21.25822 19.58378 18.53133 17.60183 16.86179 16.71952 17.02594 17.39209 17.15144 16.88977 16.42888 15.92036 15.20941 14.64608 14.30536 13.60443 14.35421 15.38104 16.76829 18.22313 20.10996 22.08799 24.86729 28.51533 32.28854 38.30275 44.86301 47.57576 51.19048 53.70828 53.17041 53.31034 52.99145 51.59817 51.17371 49.53632 49.52978 47.21793 45.49763 44.44444 43.65559 43.23671 42.87975 40.22606 39.28571 38.78327 37.54647 36.13445 36.17270 35.34483 34.76563 34.79499 33.05369 33.37066 33.40358 34.61538 33.63064 34.68468 35.44118 33.10225 31.64292 30.44554 29.97449 29.34132 28.64494 28.23894 28.43823 28.68541 29.43641 30.41543 31.72656 32.65896 31.35965 29.57777 28.17229 25.73529 23.58111 22.20572 21.34098 18.23405 19.57393 20.74905 21.63426 22.38806 22.57644 22.03664 21.51446 21.40681 21.45927 21.59539 21.46413 21.43329 21.05620 20.46429 19.81824 19.91311 20.10030 20.16448 18.95349 17.64113 16.34319 15.63663 14.70435 14.42254 14.59472 15.01698 16.58906 18.64181 20.17589 20.78043 20.98361 20.69035 19.86442 19.16890 18.79276 19.19421 18.96552 19.65699 19.77234 19.20175 18.54451 17.94582 18.38311 18.71224 19.10627 19.83027 20.48314 18.91158 17.25692 15.88471 15.40359 14.93043 14.73714 15.14478 15.42538 15.12256 14.60000 14.03703 13.53537 13.01075 12.71939 12.69604 12.60102 13.92796 15.70477 17.74398 20.30221 23.10513 26.27785 29.29611 33.01642 37.23404 44.20000 50.71656 53.31395 57.00389 57.82967 57.03125 56.00000 54.53890 54.29864 52.28311 50.67873 48.63014 47.28507 45.35604 43.86364 42.70987 43.36493 41.05505 39.98716 38.44720 38.32117 36.85474 34.66899 34.70790 33.21918 32.19485 31.50922 31.25000 30.60046 30.41349 31.29176 31.95991 31.65236 32.12766 31.53846 30.55818 30.22599 29.48594 29.38596 29.40604 28.57143 28.74549 30.63322 31.17309 32.04310 33.74525 35.29946 34.60621 34.66739 33.62573 30.49866 28.05970 26.23826 25.36814 16.95700 17.87958 18.60465 20.60545 22.26114 23.14874 22.69399 22.46143 22.12389 21.79235 21.52598 21.57439 21.60681 21.55239 21.16301 20.92284 21.17081 21.64535 22.07380 21.78521 21.31489 21.21923 21.40912 21.79395 22.48795 23.48657 24.81926 24.74290 24.55704 23.97008 22.89209 21.12188 19.74097 19.33014 18.62327 18.54328 18.51648 18.52604 19.48646 20.22989 19.63895 19.17731 18.44920 18.27309 18.00125 18.20629 18.19961 18.27034 15.97325 13.56662 11.98562 11.85092 11.69623 11.72580 11.99307 12.31182 11.85301 11.27379 10.75202 10.24201 9.61362 9.54799 10.24722 11.24295 12.98770 15.68915 19.59459 23.32285 27.46056 31.25000 35.23459 38.54065 43.03097 48.78331 54.66216 57.91506 61.47309 60.68314 59.36073 56.21302 55.49853 54.67290 53.96579 52.55418 50.23256 48.84259 46.78407 46.16541 44.96350 44.85842 42.00288 41.11272 39.37500 38.47709 37.56906 34.75936 34.92063 33.10388 33.02239 31.50224 30.63973 29.83051 28.88889 28.68676 29.24324 29.01554 28.74871 27.96278 27.51451 26.56702 26.76991 26.91281 26.22440 26.34315 26.96335 27.83934 28.73134 30.83333 32.17693 34.30405 34.66960 35.20097 34.38196 31.95147 30.13962 28.53067 27.75085 15.37823 15.62328 15.93102 18.99276 21.71572 23.48759 23.41103 23.29223 22.80600 22.12960 21.42643 21.69593 21.88001 22.07338 21.89356 21.84846 22.23183 22.83065 23.46858 23.49099 23.65730 23.93993 24.88126 25.85012 26.90715 27.81091 29.10032 28.26712 26.95447 25.51601 23.81015 21.39249 20.19438 19.15888 18.45199 18.33162 18.42921 18.68598 19.89579 20.53167 20.27174 19.44547 18.51004 18.14024 17.69743 17.99942 18.69398 19.36548 16.59615 13.81626 11.82060 11.29184 10.75546 10.41624 10.25202 9.92022 9.75376 9.55631 9.49941 8.93304 8.33062 8.26110 8.68755 9.63934 11.91516 15.91162 21.79426 26.12360 31.45933 36.59537 40.96733 45.11864 48.11251 52.27848 57.22380 58.33333 59.30048 59.75610 57.89474 57.02028 55.08475 55.59006 54.65116 52.50379 52.51524 49.32836 49.02280 48.02632 46.78112 46.05263 43.83853 43.19149 41.36986 40.43825 38.43085 37.38502 36.94805 34.76132 34.20097 32.04570 31.16883 29.96743 29.39980 27.97741 27.20739 27.70069 26.13636 26.62890 25.09381 24.34579 24.05822 23.69547 23.61352 23.89643 24.54780 24.65374 26.26311 27.79370 29.72603 31.41831 32.04633 32.53571 32.26453 30.89312 29.93031 29.19782 27.78150 14.38070 14.64365 15.03084 17.62351 20.13391 22.08062 22.59044 23.02749 22.91346 22.54280 22.04532 22.12389 22.38090 22.51333 22.63684 22.81092 23.13433 23.75868 24.31862 24.56578 24.84655 25.42908 26.81100 28.28326 29.23195 29.78790 30.37905 29.39710 27.71011 26.06448 24.53299 22.10761 20.41588 19.50117 18.46701 18.45161 18.48610 18.87097 19.90388 21.17225 20.52124 19.38889 18.18828 17.47589 17.16490 17.62115 19.59990 20.78194 18.02224 14.53127 12.45764 11.40895 10.42331 9.66947 9.05410 8.37348 8.43877 8.62427 8.85424 8.21581 7.79505 7.43945 7.70210 8.07569 11.09276 16.22116 24.15813 28.97656 36.24575 43.01458 48.13809 52.57143 55.16351 56.47632 56.34111 57.44361 57.00935 57.57098 55.33230 56.21166 55.50459 56.08424 54.39137 53.88720 52.48494 51.11276 50.71090 50.00000 48.75000 46.81892 45.93301 44.65944 43.01802 41.70306 41.31898 39.43937 37.81250 36.96450 36.13445 34.87973 33.23928 31.89944 30.54054 28.84822 28.47896 27.39505 27.07212 25.65923 25.45455 25.32795 24.33669 24.33669 23.61111 23.43018 23.68923 23.76014 24.16667 24.95336 26.06655 26.77665 28.11212 28.63777 28.52902 27.40056 26.28254 26.02947 25.21544 13.42797 13.90872 14.54495 16.61392 18.87312 20.80711 21.91144 22.70864 22.85617 22.67694 22.42962 22.57052 22.58082 22.75768 23.02230 23.23982 23.59080 24.10129 24.59109 25.10871 25.64674 26.33325 27.65901 29.00056 29.74272 29.72171 29.70837 28.72011 27.17281 25.42722 23.86155 21.85131 20.31616 19.21569 18.01029 17.97186 17.68836 17.86488 18.95292 20.35525 19.82143 18.63216 17.69534 16.60500 15.83333 15.92910 17.16475 18.18708 16.66008 14.86725 13.53575 12.50664 11.82424 11.27501 10.90426 10.48626 10.17926 10.00638 9.78243 9.59079 9.54443 9.57074 9.75220 9.79667 12.08241 16.47399 22.72727 28.03681 36.21709 45.54749 50.85046 57.06564 59.13766 59.92063 61.22995 59.98415 60.54313 58.40000 58.76923 58.11437 57.18702 56.46965 55.99042 54.10628 53.56013 52.55814 50.75885 50.74503 48.29822 48.85321 47.75449 46.59607 44.46903 43.32855 42.59259 41.56627 40.06494 38.67925 37.66871 36.48961 35.73046 34.43080 33.36887 30.93487 29.40848 28.71397 27.69231 26.81159 26.27037 25.95420 25.47578 24.50644 24.95652 23.73030 23.30961 23.28595 22.71563 23.03371 24.02235 24.10501 23.98911 24.61197 24.05462 23.37687 22.60299 22.22826 21.98762 13.86284 14.78211 15.40851 16.98370 18.55090 20.05934 21.20089 22.15509 22.67258 22.64622 22.71207 22.79768 22.74948 22.80490 23.02632 23.34092 23.71387 24.10152 24.45155 25.30575 26.08064 27.00039 28.15393 29.32994 29.69642 29.07709 28.41872 27.34982 26.09148 24.54874 23.24963 21.42128 20.16075 18.82396 17.64863 17.28130 17.03668 17.07067 18.31395 19.12633 18.94172 18.24347 17.20820 16.19970 15.01279 14.72905 15.23834 15.73923 15.44790 14.80437 14.32128 13.54691 12.93813 12.59474 12.27643 12.09549 11.60660 11.11284 10.62172 10.88493 11.02442 11.29898 11.35957 11.50713 13.02156 16.35813 21.20504 25.43893 34.12782 43.42105 51.37300 60.97884 63.12997 64.28571 64.44759 62.99020 61.55698 62.03852 59.52012 59.19811 57.34597 57.67327 55.38336 55.18946 53.84615 53.31230 53.35628 52.29202 51.51261 50.94488 50.00000 48.34123 46.52778 45.70136 43.75000 42.25941 40.87838 39.81723 38.57868 37.80788 36.90191 36.29977 34.04255 33.49835 32.26519 30.90316 30.00000 28.25860 28.30579 27.04082 26.30162 26.04817 25.19280 25.17241 24.02597 23.15522 23.09013 22.88062 23.06701 23.18221 23.42657 24.00600 23.73919 22.37100 22.43549 21.84528 21.92982 14.37239 15.46594 16.43256 17.49763 18.53472 19.35879 20.90457 22.14854 22.79355 22.85912 22.86103 22.81124 22.77853 22.80629 23.07902 23.20447 23.51871 23.93959 24.39253 25.14993 26.02740 26.79136 27.36633 28.00530 28.13036 27.62514 27.15308 26.42703 25.55044 24.44134 23.33708 21.91396 20.75869 19.84456 18.65299 18.19522 17.86421 17.35049 18.01302 17.99456 18.48116 18.48208 18.33389 17.43235 16.44194 15.83739 15.32134 14.91021 14.59562 14.38388 14.14745 13.83585 13.57298 13.30957 13.16603 13.02031 12.66267 12.18815 11.67590 11.86149 11.90341 12.41176 13.14465 13.98886 15.01767 15.94828 17.92025 21.44030 27.00491 34.62898 43.16354 55.05051 59.59147 63.44000 66.96284 66.42512 66.38066 65.46154 62.63158 62.39016 60.78947 56.34921 55.28169 55.87687 52.73723 53.81818 55.08021 55.01761 54.18848 53.35463 51.41066 50.97879 48.57143 47.44977 44.73282 42.25664 41.47497 40.55118 39.17323 38.70765 37.77372 36.68639 35.58030 33.58039 33.18386 31.72338 30.82340 29.66102 28.68177 27.50760 27.09821 26.90265 26.05042 25.31328 24.68672 24.34853 23.33604 23.17073 23.15409 22.93504 22.40618 22.81519 23.20307 22.51762 21.99132 21.36106 21.40045 15.41277 16.25303 16.96729 17.92744 18.64296 19.56208 21.08959 22.59615 23.31905 23.11211 22.78056 22.80181 22.86125 22.89136 23.03408 23.06352 23.32271 23.80269 24.21191 24.89382 25.65862 26.35310 26.25943 26.19409 26.08592 25.76039 25.55619 25.23629 24.87646 24.22105 23.41242 22.07744 21.19494 20.29359 19.39444 18.83285 18.40089 17.97189 17.79412 17.39618 17.78634 18.57143 19.02439 18.54617 18.36000 17.63099 16.47614 15.69732 15.13502 14.64939 14.38413 14.18644 13.93155 13.70244 13.56746 13.50223 13.22950 12.88325 12.49231 12.82136 13.21125 13.61502 14.67697 15.95906 16.60929 16.89731 17.40548 19.55866 22.89412 27.11124 32.65583 42.75568 50.95694 57.65070 66.33166 68.36735 70.56856 69.42623 67.50000 66.14964 63.17204 59.42549 56.09541 57.15649 57.14286 55.96591 57.61278 58.14607 57.62250 55.27638 54.68750 52.78716 49.26710 46.91456 45.27559 42.04545 41.99438 40.06757 39.32806 38.32685 36.65414 37.46929 36.06755 33.99766 33.78860 33.39161 31.56997 31.15502 29.91071 28.44991 28.07263 27.15596 26.57431 26.07973 25.47247 24.74308 24.64623 23.57631 22.76853 22.77861 22.27904 22.15827 22.15949 21.60102 21.65942 21.15068 20.33058 15.64790 16.39209 16.93630 17.50838 18.14007 18.55153 20.48511 22.25947 23.29242 22.90374 22.55256 22.37870 22.32013 22.21923 22.34959 22.53501 22.68549 23.00597 23.35274 23.65879 23.98491 24.31832 24.09078 23.63358 23.33174 23.33333 23.54440 23.44095 23.72538 23.81356 22.71742 21.68874 20.71601 20.21834 19.33171 18.87153 18.26825 17.91387 17.80916 17.45283 17.82399 18.59169 19.62830 20.17792 20.74143 20.68283 19.38556 18.36534 17.05345 16.00090 15.08353 14.41726 13.87149 13.42517 13.45099 13.37863 13.35650 13.38942 13.38100 14.07589 14.81983 15.77138 17.03647 18.38843 18.95313 19.15094 19.37759 19.81982 19.53466 21.76471 25.99150 31.80243 39.17364 49.24812 59.05744 66.46341 72.84404 73.26642 70.50173 69.59799 66.19469 63.42513 61.69492 59.39394 58.58896 59.25926 60.00000 59.78261 59.37500 56.31868 54.54545 53.19716 50.00000 47.77961 44.33962 44.47236 40.93407 39.97326 39.58060 38.30911 36.74776 37.34257 35.37906 34.82353 33.95197 32.34358 31.46417 31.03448 30.26316 29.04412 28.10734 28.03522 26.99307 26.12766 24.95805 24.98051 24.28901 23.73096 23.01255 22.53980 22.41867 21.95378 21.60494 21.72970 21.15033 20.76271 19.82713 15.71245 16.23268 16.51565 16.90865 17.12127 17.45500 19.58438 21.69192 23.15765 22.45944 22.20085 21.89974 21.62501 21.46964 21.62252 21.81593 21.92029 22.05080 22.28532 22.29770 22.19660 22.19455 21.57862 20.91226 20.49314 20.76524 21.06833 21.46437 21.95883 22.54902 21.56489 20.64085 19.63936 18.77828 17.98232 17.65380 17.42503 17.35889 17.20207 16.67831 17.18427 17.96315 18.83477 19.86063 20.78819 21.02532 19.84465 18.77124 17.56821 16.32653 15.13351 14.53168 13.75018 13.27297 13.00870 12.63686 12.80535 13.14350 13.52418 14.55569 15.91090 17.46988 19.36451 21.16113 22.34416 23.04850 23.19118 23.11581 23.29843 23.98666 26.83002 30.02863 35.70826 43.53992 53.25255 59.58466 68.41155 71.82836 71.38989 70.51510 68.65285 64.81149 64.65364 63.43284 61.98704 62.31102 62.65432 61.65644 59.61165 57.92453 55.72727 52.41935 51.03270 48.25871 44.09247 42.52492 41.15226 39.74531 38.00786 38.16845 36.86275 36.15385 34.98146 33.87681 33.44595 32.23684 31.65236 31.25000 30.69164 30.12218 29.45402 28.21229 27.25303 26.05574 24.91722 24.52597 24.10859 22.94069 22.76059 22.36525 21.74237 21.70228 21.61871 21.47239 21.65669 20.44257 20.18443 16.09857 16.35394 17.06474 17.57756 17.66593 18.17023 19.70319 21.33640 22.60194 22.50116 22.24291 21.94230 21.46285 20.82341 20.67420 20.45917 20.35790 20.57028 20.79002 20.92302 20.80041 20.68533 19.89568 18.96138 18.30986 18.38971 18.59473 18.95071 19.53229 20.33006 19.52064 18.88920 18.13811 16.77215 15.45397 15.48975 15.68211 16.00666 15.71283 15.82538 16.17000 16.96400 17.70767 18.62862 19.40759 19.88702 18.89246 18.16281 17.06475 15.97531 14.95054 14.25472 13.40628 12.76022 12.13868 11.45968 11.66582 12.05281 12.70586 14.77348 17.01222 19.42166 22.31650 25.89286 27.66714 29.21914 30.30005 29.25012 28.67391 28.89182 29.84645 30.94742 35.28336 39.86784 48.65108 55.46647 62.76042 68.85714 70.71130 73.12634 73.28767 68.46154 68.06452 65.03198 65.41756 61.63522 58.91720 61.17021 60.02024 57.60234 55.00000 52.40214 50.25381 48.03922 45.60976 43.62205 42.88889 40.48991 39.04494 36.89700 35.82375 35.41667 34.81707 32.97491 33.02857 31.77728 31.49780 30.80125 30.52738 29.85915 28.45455 27.64550 26.96527 26.42096 24.54780 24.31762 23.68634 22.74920 22.01581 22.03588 21.49886 21.10874 21.23002 21.18812 21.50193 20.28514 20.07194 16.52346 17.04939 17.50638 18.15905 18.63748 18.94684 19.84357 20.91497 21.90009 22.03224 22.07005 21.85515 21.11624 20.32815 19.81600 19.19315 18.93891 19.09068 19.30404 19.45289 19.54739 19.62784 18.74819 17.62811 16.71839 16.76433 16.76841 16.91824 17.58503 17.90109 17.38473 16.76040 15.98120 14.82664 14.17197 14.15495 15.00000 15.68930 15.68211 15.99210 16.12431 16.41566 16.54746 16.39393 16.17039 15.44602 14.36759 13.15887 12.32149 11.75772 11.28737 10.65625 10.03300 9.53739 8.98416 8.70353 8.80176 9.61728 10.62368 12.27853 14.64646 17.47324 21.20042 25.69472 29.43248 33.10249 36.09272 37.06897 37.23709 38.29686 38.27675 39.31398 42.18750 45.52885 50.50336 54.56731 63.24376 66.66667 71.78423 75.21834 72.55639 73.27586 68.96163 66.31944 65.06849 63.94558 62.17105 60.27837 58.87755 56.18861 55.41825 52.45455 51.03806 48.49750 47.00000 44.48000 42.83582 41.11272 39.02954 37.84314 35.47771 34.88665 33.37393 32.31047 31.94444 31.16438 30.61798 30.27572 30.80125 29.18660 28.53186 27.74799 26.42463 25.48845 24.39966 24.14216 23.02839 22.60972 21.79586 21.71946 20.83333 20.56277 20.45756 20.44863 20.39598 20.28037 20.03546 16.84070 17.19878 17.72806 17.95007 18.40299 18.77939 19.31548 19.72822 20.53621 20.87379 21.29748 21.28571 20.63773 20.05171 19.23187 18.32899 17.64828 17.65252 17.70051 17.96546 18.41277 19.08379 18.23949 17.10771 16.10245 15.81286 15.48381 15.47137 15.53846 15.72361 15.04660 14.55078 13.63902 13.34928 13.07462 13.38583 14.41697 15.50665 15.87585 16.31751 16.54816 15.99671 15.91343 14.33184 12.96064 11.76537 10.21269 9.02126 8.39143 7.77860 7.33347 6.84211 6.36591 5.89577 5.65015 5.38032 5.98273 6.94613 8.15187 9.86842 12.01871 14.93321 19.49061 24.83871 29.90108 36.67389 43.50962 47.76423 51.20321 53.35085 51.49254 50.48077 51.67382 52.34864 53.43249 58.04878 62.21591 65.90437 70.75472 73.05122 75.19685 71.92308 71.10553 68.07229 66.62736 63.10345 61.88437 60.75949 57.57576 55.56641 56.01145 51.66052 52.42370 48.69110 47.47899 44.92754 43.03406 40.62500 38.31169 37.01923 35.54217 33.87500 32.83582 32.75649 30.77844 30.04751 30.15222 28.82166 29.46708 28.99119 28.38863 27.08143 26.93358 26.69008 25.60771 24.97956 23.90282 23.10030 22.23451 21.53680 20.92697 20.58011 20.55627 19.84972 19.88882 20.49307 20.87021 17.09526 17.37980 17.64514 18.12822 18.20291 18.35548 18.46378 18.78157 18.79412 19.49337 19.89392 20.00953 19.59114 19.26358 18.72017 17.80940 16.97908 16.84432 16.82671 17.07901 17.73804 18.40928 18.17951 17.90234 17.51734 16.94421 16.41504 15.86773 15.34751 14.79933 13.86284 12.90234 12.22771 12.19803 12.07494 13.44455 15.32640 17.39130 18.19412 19.12210 19.06158 18.20720 17.57504 14.65462 12.46907 11.18313 10.60407 10.14363 9.47159 8.47120 7.49249 6.30086 5.25606 4.27591 3.91598 3.70406 4.32189 5.48989 7.11340 8.93871 11.15041 14.20220 17.96317 22.76485 28.05258 35.11450 42.77108 48.25328 53.01858 56.87204 55.87413 56.13915 57.20339 58.65772 58.86076 62.05357 65.41502 69.38559 71.02510 74.77974 75.00000 71.05263 71.05911 66.13692 64.25178 60.44084 59.06250 59.54825 58.06773 55.76923 55.30726 53.62454 51.60714 49.48630 45.62607 45.03311 41.63934 39.84252 38.09160 36.17607 33.95722 32.87327 31.97026 30.99631 29.01460 29.02844 29.30425 28.96440 28.93617 27.84431 28.23759 27.46479 26.54949 26.89225 26.04712 24.95928 24.43580 23.27844 22.51082 21.61017 20.71672 20.00000 19.70075 20.01851 20.30686 20.91049 21.74453 17.10200 17.50613 17.55776 17.93396 17.92699 17.81830 17.63784 17.39396 17.00538 17.45150 17.89717 18.09371 18.04424 18.23301 17.94919 17.41085 17.05873 16.84480 16.57530 16.51315 17.29512 17.89254 18.54031 19.13476 19.63019 18.60853 17.79578 16.80046 15.68477 14.28571 13.12518 11.91110 10.84932 10.89426 11.23491 12.59702 14.99060 17.40188 18.57430 19.71391 19.69840 18.84249 18.05147 14.85535 12.59622 11.27252 11.61572 12.01617 11.69869 11.24557 10.69345 9.23913 7.23660 5.49417 4.81431 3.73784 4.07697 4.76535 6.26233 8.45344 11.02926 14.25413 17.93861 22.92195 28.15323 35.34743 44.18331 50.99502 57.61278 61.30952 60.42781 61.22995 63.17204 61.35266 62.06897 65.33066 66.84322 70.37862 72.40260 72.71715 73.43750 69.46565 69.07731 67.29323 63.43826 59.97625 58.59873 57.12810 57.27273 55.58824 54.22932 52.52809 50.80790 47.94168 45.84775 43.28358 39.88487 37.97170 36.23853 34.38914 32.21083 30.72289 30.06579 29.55439 28.20823 28.41596 27.86885 27.80612 27.98583 27.19645 27.78316 27.65363 27.33516 27.27671 26.22592 25.93052 25.01964 23.94797 22.12875 21.76724 20.14315 19.91925 20.29126 20.38462 20.52897 21.43284 22.30635 17.26407 17.38838 17.51720 17.54406 17.13004 17.11799 16.74737 16.63916 16.42785 17.07596 17.85332 18.39583 18.41200 18.11617 17.98382 17.72638 17.51987 17.14602 16.82450 16.56354 16.48116 16.23995 16.57795 17.10812 17.35410 17.43656 17.62660 17.31492 16.37727 15.64200 14.02542 12.54076 11.19593 10.30579 9.64724 9.71074 10.46798 11.00000 12.29773 14.05102 15.02591 15.38744 16.00045 14.57900 13.48342 13.11971 14.35093 15.27809 15.93937 16.75247 17.45457 15.86552 13.46535 10.90516 9.00441 6.46225 5.77404 5.97310 6.62350 8.76866 12.22386 16.20690 21.04478 27.13787 32.46367 38.91626 45.78389 51.13759 57.10814 59.27835 59.77702 59.96503 58.64947 59.60366 59.23077 62.87425 66.13924 69.78022 71.57303 73.28767 72.03791 69.47608 68.75000 65.10539 62.64237 59.66667 57.54717 56.79012 55.19348 53.53635 52.25564 51.39925 48.93048 45.90164 44.76440 41.05960 38.32180 37.04319 35.74879 31.08696 31.43670 29.36306 28.97727 28.67925 28.33333 27.17751 27.11306 27.31481 27.52294 26.70623 27.13592 26.14593 26.38122 26.12732 26.35075 25.43641 24.64623 23.23462 22.50000 21.29695 20.68733 19.96021 20.26940 20.49650 21.00126 21.49729 22.16953 17.41201 17.10664 16.76554 16.47149 16.25844 15.90909 15.83514 16.22259 16.72828 17.93326 19.13861 19.85077 19.23201 18.67044 18.29861 18.14865 17.89019 17.51668 17.15094 16.70894 15.79287 14.67408 14.34560 14.52953 14.75674 15.74749 16.85727 17.19834 16.77086 16.39867 15.03664 13.55326 12.24792 10.96002 9.45390 8.55318 8.22269 7.58874 8.63803 9.63061 10.99711 12.12743 13.13817 13.39942 13.14625 13.45821 15.19306 16.59807 17.56375 18.55383 19.61737 18.07815 15.95807 13.40496 11.35240 8.90195 7.77108 7.05456 6.57627 8.94182 12.33859 16.76385 22.25389 30.33566 36.04903 42.42424 49.69615 54.16667 58.81226 59.27419 59.15619 58.21168 58.21596 57.90698 57.24638 60.96033 61.41304 66.62896 71.12676 73.98568 71.16788 73.74101 70.43880 66.03325 63.54167 60.47297 58.24524 55.91286 54.59184 51.17647 49.16045 49.16667 47.86477 43.24324 42.02401 40.60956 38.14433 34.50820 33.25359 30.79137 29.35393 28.21970 27.71536 27.13755 27.62431 26.97368 26.87296 26.19532 26.26008 25.99404 25.56098 25.44939 25.02275 25.26316 24.97839 24.36941 23.99846 23.01829 22.67779 21.90233 21.28571 20.80112 21.15775 20.98724 21.55689 21.79803 22.11422 16.80652 16.50485 16.26140 16.22402 15.86887 15.50033 15.29116 15.90175 16.30642 17.96641 20.15106 21.76193 20.94873 20.15594 19.41748 18.53687 17.71160 17.22453 16.91850 16.41720 15.09028 13.50985 12.58257 12.28676 11.86981 13.10248 14.48664 15.67342 16.08696 16.87192 16.39189 16.05557 15.13582 13.01421 10.90713 9.39401 8.20752 6.91188 7.17451 7.62260 8.09151 9.41637 10.29241 11.15037 11.80972 12.51996 14.93958 16.73220 17.90484 18.59633 19.31611 18.14918 16.39939 14.50212 12.88686 10.70602 9.42623 8.08911 6.73077 8.85027 11.95762 16.34332 23.01587 32.45156 38.65979 46.63102 54.96324 57.96813 61.00719 61.21076 59.81818 57.90909 56.06532 54.86862 54.20561 55.24691 56.83297 61.25000 68.18182 73.98649 73.75887 74.88479 73.00000 68.36028 67.00000 62.21996 58.26772 56.58397 52.91262 50.00000 49.18478 46.39556 45.99644 43.31551 39.83051 37.84441 35.53655 34.35171 32.25108 30.80169 28.68852 28.22581 26.90887 26.72414 26.66667 26.86916 26.75620 26.42857 25.90361 24.95146 25.21490 24.58101 25.06812 25.04401 25.45220 25.53279 25.36793 25.08026 24.92401 24.30147 23.19149 22.65904 22.62474 22.28591 22.44489 22.42875 22.35872 16.21849 15.87678 15.86595 15.93279 15.54746 15.33557 15.28053 15.49250 15.70692 18.00743 21.10092 23.63889 22.55566 21.31192 20.23223 18.72120 17.37524 16.84085 16.45893 15.87228 14.18569 12.35147 11.18573 10.48485 9.62899 11.01336 12.54590 13.98795 15.54574 17.01885 17.63485 17.88781 17.81028 16.06848 14.66490 12.85355 11.14695 9.59107 9.32043 9.09832 9.17289 9.97686 10.82328 11.58183 12.15375 12.68081 14.38849 15.96354 16.74493 17.19251 17.78742 16.55765 14.94845 13.51142 12.19024 10.51984 9.13745 7.98600 6.29540 8.25603 11.22807 15.89567 22.47365 32.22578 39.82092 48.04270 57.01513 59.23077 63.10409 62.73585 60.91418 58.53211 56.47149 53.36826 52.69058 54.75248 53.99590 58.51528 63.26316 66.51982 71.73913 75.00000 73.18501 70.80292 70.42254 65.21298 62.52427 57.80347 55.03953 49.71857 48.36957 45.27778 44.35484 41.65171 39.69072 35.78431 34.95298 33.15868 32.48175 29.68970 28.77947 27.97468 26.86473 26.10619 26.11580 26.57385 25.63694 25.93750 25.66735 24.70414 25.19455 24.52290 25.32895 24.81752 25.67935 27.10526 27.32558 27.41176 28.05970 26.57343 25.75982 24.58899 24.65099 24.03017 23.94568 23.48560 23.45924 16.53714 16.34312 16.56606 16.84001 16.99346 17.09118 17.23485 17.56589 17.73006 19.27639 21.39219 23.17952 22.23798 21.19605 20.17867 18.38508 16.62382 15.81810 15.23028 14.61120 13.00824 11.17904 10.05522 9.33153 8.51844 9.62441 11.03115 12.74896 14.48689 16.68074 18.14123 19.11643 20.28854 19.83618 19.54764 17.81818 15.54354 13.41716 12.59341 11.79988 11.35894 12.03815 12.60401 13.08036 13.33333 13.71805 13.84900 13.87838 14.10237 14.37681 14.73188 13.57225 12.49280 11.34900 10.53266 9.57957 8.57503 7.22204 5.60917 7.59066 10.36866 14.88124 21.84615 31.99033 39.59538 48.15043 57.89474 61.18182 64.20118 64.88095 62.58929 59.79381 57.32369 54.61538 52.52101 52.23881 51.01695 53.53902 57.54923 61.72986 65.50562 71.32867 74.06977 75.33784 73.65011 70.27897 64.84848 61.07955 57.95678 52.77264 49.73498 46.40221 43.10954 40.18182 39.28571 36.09272 34.18675 32.06052 31.12314 29.24901 28.10078 27.28411 25.90286 25.44081 25.24272 25.61125 25.34483 25.51020 24.86127 24.73517 24.24558 24.28571 24.75962 25.39831 26.41753 27.25000 27.65700 28.43137 29.24528 29.20682 29.51168 28.51351 28.01556 27.12848 26.93191 26.10196 26.57754 16.92343 17.01910 17.34280 17.92411 18.33773 18.49773 18.90516 19.26692 19.27340 20.10751 21.57985 22.79210 22.14992 21.36240 20.42615 18.69422 16.96949 15.84785 15.03807 13.89917 12.35777 10.56530 9.37840 8.82625 8.00377 8.78530 9.79044 11.35097 13.32088 15.60536 17.29172 19.02082 20.34931 20.54160 20.69241 19.72979 17.49746 15.89862 14.63321 13.19062 12.10627 12.32175 12.60963 13.15668 13.94732 14.70301 14.58123 14.51719 14.12782 13.42952 12.64120 11.84188 10.83349 10.03944 9.28051 8.41175 7.56079 6.69629 5.63991 7.62082 10.77102 15.55447 21.44772 32.19424 40.86957 49.21156 58.39813 61.76471 68.02326 67.90607 66.98718 65.56017 62.30599 60.73684 58.18182 57.38189 53.16699 53.62173 55.52147 56.84783 60.06494 65.51724 66.74419 70.16807 73.27044 70.28825 66.94561 62.35294 60.54217 55.59701 51.86833 46.93878 45.45455 41.04882 38.84083 36.54485 33.96084 31.25000 31.35135 30.18494 27.74194 25.89617 23.44322 22.87823 23.21429 21.39452 23.19588 22.88330 23.38983 23.45277 23.82227 23.03690 23.52941 24.10800 25.33693 26.81095 28.44077 29.76575 31.50358 32.15803 32.96569 33.21678 32.85714 32.19986 31.10759 31.00313 30.45941 16.81293 16.86843 17.46211 17.80439 18.47323 18.71900 19.19416 19.30044 19.45868 20.14648 21.32230 22.48269 22.38180 22.01287 21.47977 19.82105 18.37838 16.99825 15.40161 13.85318 12.16653 10.28843 9.02439 8.40442 7.66588 8.19382 8.94842 10.14037 12.12981 14.29122 16.21306 17.80260 19.37745 20.09419 20.89552 20.61329 19.67522 18.53312 16.55541 14.01406 12.22944 12.05793 11.70213 12.62127 13.78264 15.03829 14.99894 14.98568 13.97922 12.08412 10.60985 9.76268 9.22527 8.61298 8.11888 7.56579 6.92841 6.41457 6.08324 7.89074 11.06913 15.83095 21.66446 32.71325 40.28540 49.79920 59.80861 63.68613 69.90099 73.57143 72.76786 71.47577 69.81132 65.89404 62.89308 62.17822 56.48496 54.31034 53.40265 52.06287 55.02959 58.59873 60.64302 65.49587 68.11441 67.20183 66.08315 65.65762 62.21294 58.10811 54.07609 49.72067 45.78947 42.76206 39.15094 36.67169 34.84848 33.77254 30.72289 27.96392 26.66248 23.94068 22.31959 20.21605 19.01483 18.01706 17.41935 17.13666 17.85714 18.69688 19.27035 19.91833 20.88157 21.74296 22.72727 23.76682 26.35945 27.45592 30.00860 32.68698 34.34903 36.65768 37.66859 38.61689 38.15490 37.73932 37.66816 16.93735 17.12517 17.47562 17.72024 18.01276 18.55204 18.80174 19.10055 19.19912 19.83648 20.92487 21.78452 22.13467 22.33562 22.10115 20.93456 19.94603 18.68162 17.32195 15.98282 14.34071 12.67623 11.51366 10.74059 9.90874 9.88536 10.30769 10.77858 11.77285 12.96736 14.18396 14.83369 15.90159 16.08345 15.94000 15.28097 13.81156 12.60239 10.56141 8.47380 6.82829 6.51187 6.17878 6.53396 7.49204 8.33819 9.20552 10.14978 10.26861 9.51002 8.80561 8.32034 8.00695 7.68865 7.46337 6.96604 6.93632 7.14286 7.47168 8.86165 11.09694 14.39873 20.54908 30.88404 38.28452 48.56688 59.57447 66.19145 70.58824 74.77376 75.38976 75.33333 73.62768 70.65463 70.67834 65.25424 63.25301 59.11765 56.29371 53.94046 52.77778 53.68421 55.00000 56.81818 60.37736 61.56317 63.22581 63.49372 61.26482 58.61111 55.70934 51.39925 47.10526 43.50087 40.45677 38.10264 34.85064 32.13802 29.76190 27.18631 26.09489 23.60515 20.92575 19.28910 17.25962 16.50763 14.90892 14.67181 14.81660 15.47218 16.05197 16.96356 17.29858 18.25334 18.80098 19.90091 21.58590 24.36224 27.21866 31.70347 36.42534 40.93501 45.23411 48.66071 48.38235 48.88268 47.17235 17.65734 17.44990 17.23004 17.26297 17.30685 17.55365 17.67051 18.06931 18.57491 19.15584 20.01117 20.76855 21.72131 22.51978 22.86453 22.07135 21.46658 20.65358 19.69421 18.70247 17.15188 15.56501 14.27581 13.05791 11.84447 11.70789 11.69691 11.62373 11.70133 11.90280 12.10341 12.41172 12.65458 11.93120 11.25654 10.38332 8.97004 7.77258 6.66719 5.53459 4.75149 4.81372 4.91461 5.19783 5.50562 5.76664 6.50667 7.37779 7.90843 7.91007 7.98624 7.91104 7.71658 7.61500 7.12931 7.18623 7.34701 8.05085 8.75567 10.12793 11.18090 13.29626 17.89062 26.01881 33.03342 43.08036 55.00000 63.09524 70.72368 73.68421 75.62642 74.77064 76.96203 76.29630 73.75887 72.62181 69.65066 65.21739 59.01060 56.18557 54.36893 50.73171 50.00000 51.65138 51.76125 55.60166 58.06452 58.95522 59.02490 57.33855 55.46448 52.64188 50.00000 45.96050 42.43697 40.04739 35.00000 32.72358 30.36649 27.58406 24.82394 22.52024 21.27045 18.92523 17.04289 15.50331 13.68876 13.28520 13.65924 13.56838 13.74207 13.72481 14.53996 14.52365 14.51132 14.18716 15.63545 17.14818 20.15957 24.22111 30.00000 37.39021 45.10490 51.94575 53.98551 53.20225 50.31250 18.12982 17.75087 17.46086 17.24715 17.29842 17.59974 17.95168 18.23711 18.66896 19.02046 19.83271 20.56494 21.35788 22.06074 22.56982 21.62107 20.72678 19.95594 19.34039 18.68436 18.32192 18.15687 17.61409 16.66452 15.66454 14.94543 14.23093 13.51413 12.63207 11.67519 10.99591 10.87571 10.38084 10.04274 9.42414 8.92750 8.43882 8.06066 8.05699 8.05584 8.21761 8.96149 9.76004 9.64635 9.15924 8.62145 8.21007 7.77920 7.64480 8.19672 8.79739 8.97436 9.11419 9.06404 8.69238 8.33333 8.78076 9.91204 10.91390 11.11670 11.40584 12.56591 15.06359 19.52191 25.88957 32.85124 44.97354 53.96127 62.72727 68.01310 69.81777 70.37471 74.30380 74.37500 74.38424 75.00000 72.98995 68.58407 63.63636 61.30952 57.35849 52.76243 51.12994 50.28302 47.65166 47.82609 48.69565 49.66887 53.97351 52.59740 52.12982 49.39638 49.14934 45.86039 43.19213 40.13986 35.48387 33.11518 32.11180 28.19767 25.16340 24.28131 22.34556 20.19143 18.70130 16.91781 15.49356 14.55907 14.25687 14.39232 14.35950 14.40678 14.09018 13.73539 12.96034 12.64395 12.27242 11.83908 13.20250 16.17647 23.17210 30.69498 40.77225 51.27479 53.03468 56.30936 52.16086 18.42290 17.95580 17.60978 17.56576 17.71404 18.29897 18.62374 18.97727 19.22062 19.46143 20.10050 20.65504 21.13962 21.54980 21.74277 20.67076 19.45100 18.46234 18.26695 17.94493 18.79840 19.94347 20.42977 19.51309 18.74728 17.61666 16.42461 15.09142 13.79680 12.28835 10.95559 10.71184 10.03266 9.70472 9.32009 9.35805 9.71487 9.97409 10.81800 11.73759 12.55723 13.32885 14.07186 13.94725 13.15697 12.24196 11.24650 10.15713 9.66483 10.13128 10.38751 10.86603 11.44933 11.86257 11.87163 11.61533 11.78983 12.17883 12.99688 12.68882 12.10354 12.25806 13.28017 14.98384 18.80466 24.40605 32.69231 39.14894 48.19588 53.74280 58.84211 65.71754 68.79699 70.61069 70.35176 70.73171 71.54255 68.42105 65.63193 63.00211 60.09901 54.53686 51.41777 49.72325 44.68284 43.79921 43.29268 44.36326 44.90446 46.42857 48.25175 47.12766 47.90837 44.82759 44.00000 40.11713 38.00872 34.07258 31.60200 29.40141 26.77208 25.92025 24.44658 22.08370 20.52456 18.53147 17.97488 17.38645 16.32653 15.64955 15.61605 15.24664 14.44600 13.67713 12.96149 11.86747 10.50242 9.02539 9.24437 11.17811 14.14982 20.03074 29.07407 38.04196 44.16890 50.00000 46.21711 18.47826 18.02995 17.95192 17.86911 17.94647 18.63695 19.45443 19.56386 19.46254 19.51123 19.74504 20.14052 20.40008 20.64980 20.67572 19.11224 17.48123 16.03729 15.02614 13.84875 14.69900 16.03080 17.07899 17.50069 18.14012 18.02309 17.53495 16.89071 15.68006 14.40184 13.40837 12.68062 11.90174 11.52517 11.15070 11.31885 12.14308 12.90704 14.44167 16.05382 17.21267 17.85903 18.41058 18.27828 17.42979 16.33555 15.10621 13.59260 12.61556 12.49415 12.36308 13.16173 14.14578 14.86540 15.12887 15.57751 15.35614 15.37356 15.25487 14.32927 13.18835 12.57955 11.98758 11.54891 14.20182 18.13525 23.40153 27.63874 37.13693 42.05457 48.99497 55.06567 58.60927 62.78802 63.63636 65.99526 66.54930 65.89862 63.84615 63.63636 58.89328 54.79323 52.20588 49.18478 43.32740 40.67797 38.02281 38.01170 38.36735 39.33054 41.33333 42.45077 41.77215 42.92196 42.83276 39.70359 38.24273 35.45561 33.64198 31.60920 29.33333 28.29670 26.17421 24.97904 23.55658 22.87011 21.44097 20.67610 19.01240 17.62899 16.65389 15.73759 14.94141 13.83187 12.48530 11.07977 10.06390 8.28829 8.19328 9.11271 9.77823 14.56594 21.05809 28.79177 36.20000 44.14063 42.52438 18.34541 18.18601 17.78661 18.07296 18.44714 19.19585 20.02548 20.03749 19.80997 19.45498 19.50029 19.52049 19.48698 19.34389 19.19979 17.44820 15.40111 13.67549 12.14452 10.41232 10.87388 11.84709 13.02693 14.57944 15.90909 16.64244 16.79088 16.85892 16.03113 15.81486 15.10877 14.76660 14.34361 13.82532 13.46463 13.36219 14.17650 14.81220 15.93238 17.20126 18.10086 18.38826 18.68055 18.37607 17.45834 16.46895 15.44369 14.27569 13.50668 13.48586 13.51740 14.02069 14.99839 15.68414 15.90576 16.04173 16.16980 15.81346 15.63143 14.68564 13.93897 13.44061 13.07434 12.50000 13.33038 14.30565 16.20603 19.94774 24.53450 28.79177 33.57810 37.88110 42.09265 47.64808 50.27574 53.63322 55.90340 58.97683 61.56069 59.87261 60.10204 58.82353 53.96226 49.45946 46.04569 42.62295 38.72987 34.46429 34.16667 32.12291 33.60324 35.58282 37.19512 38.28571 37.92808 37.28000 37.12021 36.85185 34.33079 32.77439 30.91423 29.93263 28.57143 27.58326 26.52274 24.98339 24.31507 23.50917 20.97760 19.04354 17.54808 16.17818 14.91525 13.54737 11.98738 10.60717 9.77564 8.91489 8.19328 7.57962 7.48031 11.08696 16.27057 22.93478 30.49242 38.47709 38.59060 18.03680 17.77573 18.01045 18.48118 19.05919 19.24157 19.63832 19.42774 19.05392 18.71386 18.46183 18.22352 17.75541 17.29122 16.78716 15.46564 13.99154 12.53733 10.99152 9.31940 9.06139 9.25523 9.56941 10.76923 12.18619 13.02376 13.74743 14.20852 14.81137 15.65365 16.32883 16.83007 17.19598 16.61458 15.89875 15.73566 15.95289 16.21124 16.68167 17.30544 17.82012 17.61042 17.37124 16.81899 16.06053 15.20154 14.64258 14.27022 14.06111 14.19242 14.41860 15.05809 15.58932 16.06322 16.19608 16.12054 16.32450 16.23932 15.99090 15.08678 14.36031 13.79974 14.01961 13.93336 13.35629 13.12431 13.22768 14.80000 18.01653 19.44981 23.11178 25.99299 30.42660 36.11501 37.02580 43.70315 48.29822 52.70270 56.07735 58.05556 57.99180 58.53659 54.92278 50.00000 46.63551 41.79487 37.62376 34.33931 31.54952 29.87220 30.15748 30.08000 30.49759 32.25806 32.68206 33.81014 33.89513 34.42721 32.95858 32.97753 32.06861 31.40625 29.81043 29.63801 28.82633 27.68435 26.10677 25.00000 21.95000 19.50893 17.68050 15.67383 13.19721 11.88261 10.87940 9.76217 9.00504 8.23782 7.70492 7.66721 7.58017 11.00000 15.11628 20.03866 27.21519 35.77406 37.72563 17.71800 17.34802 17.91339 18.70784 19.51625 19.34033 19.24579 18.94573 18.54499 18.20165 18.14596 17.59459 17.11304 16.34434 15.67675 14.56674 13.28329 12.10712 10.86791 9.54070 9.14095 9.21053 9.21754 10.05150 11.01007 11.56406 11.88884 12.10424 13.26212 14.68549 16.08856 17.56996 19.05327 18.69731 18.07425 17.72077 17.40424 17.17779 16.95117 16.67967 16.46735 15.96257 15.27681 14.85944 14.51116 14.38253 14.38373 14.24642 14.34567 14.60950 14.77940 14.84898 15.16198 15.27306 15.56617 16.06185 16.18528 16.36936 16.57513 15.66421 15.54904 15.08097 14.50765 14.40092 14.65302 15.22491 15.98441 17.31294 19.01227 20.77206 21.93446 23.44498 25.62278 27.00000 31.08108 35.17442 40.82645 45.58824 51.18343 53.04260 55.90062 55.85216 53.56436 50.29586 46.33459 43.82022 39.20863 36.14983 34.04851 31.80147 31.40704 30.13245 30.14706 30.39216 28.84615 28.77629 29.43097 29.19955 29.60829 29.48430 29.61012 29.48718 29.77692 30.01800 29.96139 28.19662 26.80473 25.23562 22.05357 19.62480 17.29323 14.84663 12.14634 10.76923 9.53413 8.04130 8.43810 7.51397 8.05327 8.43373 9.16399 11.19691 13.39387 18.87160 23.49552 30.47210 35.12064 17.56866 17.60320 17.97265 18.49066 19.23274 19.08569 18.93773 18.89632 18.90030 18.96433 18.91026 18.50299 17.93390 16.67903 15.60458 14.47001 13.30916 12.31760 11.52475 10.65300 10.32810 10.51056 10.56955 10.86833 11.28837 11.30563 10.83166 10.18215 11.56193 12.91146 14.89125 18.11071 20.38252 20.66900 20.43281 20.13115 19.10726 18.07818 16.96735 15.81862 14.62036 13.96923 13.12324 12.95104 13.47680 13.92782 14.19251 14.34594 14.52390 14.52960 14.82275 14.84375 14.54545 14.65145 15.38845 16.23183 16.91992 17.06883 17.14531 17.07838 17.12044 16.73280 16.25190 15.85366 16.43836 17.22761 19.07605 19.52405 20.61224 21.24352 22.08029 22.03647 23.41390 24.20273 26.95313 31.01023 35.89552 39.30390 44.13408 48.50000 50.30426 50.91837 48.80000 47.57576 45.86614 44.12916 39.86867 38.02178 35.94646 34.00735 32.62643 31.93344 29.28680 29.14720 26.98768 26.09254 25.79832 23.92916 24.54268 23.88664 24.61315 25.68421 26.62524 28.20711 29.09031 27.78889 26.08616 24.82517 21.38680 18.68256 16.78410 14.18215 11.44340 10.17118 8.66477 7.17905 7.35210 7.59972 8.64055 9.11928 11.00000 12.23242 15.19058 16.98912 21.85466 26.14035 30.97826 17.49865 17.68000 18.34826 18.75486 19.19540 18.83895 18.84164 18.91860 19.42631 19.69283 19.68619 19.57982 19.02174 17.83324 16.82546 15.63082 14.23582 12.83795 12.01120 11.02468 10.37005 10.15143 9.91568 10.40609 10.78838 11.27065 10.95101 10.82549 11.86625 12.90126 14.46043 17.67879 20.74262 21.69657 21.99571 21.88598 19.86766 18.04348 16.20536 14.30079 12.81419 12.71344 12.63689 12.88111 13.57113 14.31469 14.41310 14.28065 14.29782 14.21320 14.10761 14.31186 14.76723 15.21588 16.33383 17.34558 18.35165 18.28499 18.51431 19.30921 20.22059 20.75597 20.35225 20.26432 20.86614 21.85090 22.70862 23.79386 24.29944 24.65338 25.16746 25.15625 26.11778 27.00730 28.24897 31.09418 34.88000 38.64028 42.07547 44.57831 44.91018 45.15152 45.48193 44.49244 43.63057 40.62500 39.66480 37.54513 36.05313 35.96330 34.84589 33.36052 32.08270 31.05469 29.51220 28.37137 25.83992 25.09653 23.49727 21.62162 21.31218 21.98347 22.99325 24.58159 26.29696 24.98836 23.66291 22.52519 20.01668 17.90092 15.94996 13.46154 10.82148 9.41101 7.38462 6.48148 6.69216 6.75991 8.17797 9.55937 11.89904 13.94523 15.25157 16.73985 19.57143 22.20544 27.03911 18.72115 19.10700 19.42094 19.52393 19.30250 19.29518 19.25899 19.41922 20.02795 20.53754 20.70988 20.49408 20.24566 19.22816 18.45206 16.96958 15.33477 13.72406 12.48675 11.12018 10.15061 9.57507 8.88313 9.56900 10.50579 11.04708 11.29918 11.75930 12.13659 13.01032 14.20334 17.38722 20.26266 22.40212 23.49597 23.96424 21.30751 19.11690 16.62926 14.49275 12.66585 12.63870 12.66711 12.88278 13.53700 14.24826 14.32191 14.16080 14.16955 13.98783 13.76776 14.42071 15.52133 16.89453 18.15615 19.84392 21.04623 21.04167 21.09955 22.36551 23.93822 24.86166 24.95987 25.21947 25.28689 26.17925 26.30933 27.03165 28.29670 28.80117 29.09187 29.61495 28.82147 30.40973 30.48091 33.28632 35.84000 36.75722 38.48263 41.26214 41.81287 41.69960 40.51383 40.14831 39.87342 38.72832 36.74812 36.96858 36.76471 35.74144 35.47535 34.13223 32.92868 32.17446 30.85847 28.59195 27.48644 24.54545 22.52836 20.00000 19.40184 18.84111 19.06808 20.78996 22.15190 21.18353 20.41229 19.49331 17.83877 16.50438 14.82234 12.59244 10.06849 8.70588 6.47321 5.09804 4.80132 4.10798 5.85029 8.33980 10.64175 12.50000 15.15581 17.26479 18.34734 20.87805 24.78448 19.18256 19.55645 19.52381 19.78136 19.81590 19.91738 20.07344 20.23696 20.66434 21.16697 21.51741 21.72452 21.71675 21.02854 20.67543 19.19212 16.98983 14.86890 13.22141 11.34910 10.00299 9.34300 8.49653 9.19080 10.39476 11.57077 12.62126 13.55140 13.87515 13.91188 14.46832 16.48336 18.95318 21.43877 24.06402 26.12553 24.31621 22.97164 20.41461 17.48751 15.30038 14.44167 13.58839 13.16109 13.31198 13.55932 13.70675 13.94397 14.04860 14.28912 14.58718 15.59552 17.68996 19.76789 21.65533 24.34874 25.41988 25.92593 26.52743 27.03125 28.01047 28.89191 28.48882 29.11094 29.44535 30.04695 30.63725 30.90909 31.97248 32.63619 33.12500 33.68700 33.56449 33.90462 35.04823 36.16145 37.11986 37.34291 37.73764 38.23529 36.15385 38.46154 36.30832 36.72032 36.36364 32.98077 33.62069 31.98874 32.55159 32.35294 32.83582 32.81005 32.67544 32.14774 32.55373 30.26756 29.28349 27.02439 25.09766 22.11896 20.60403 19.79426 18.60465 18.71609 18.23899 18.02614 17.55300 17.10440 16.04465 15.31315 14.00000 12.62388 10.28013 9.06166 7.24953 5.63830 5.49335 4.98803 7.28332 8.83028 11.02362 13.07073 15.12567 16.80328 18.75000 21.21622 23.94504 19.11765 19.37953 19.52444 19.89080 20.41443 20.49550 20.91087 20.94692 21.45195 21.82358 22.39748 22.99201 23.24758 23.04430 22.93217 21.32876 18.65875 16.22464 14.12226 11.80900 10.21177 9.41517 8.43036 9.21364 10.31314 11.75396 13.64803 15.44029 15.76891 15.50845 15.81492 16.77102 17.90719 20.92209 24.09806 26.69945 26.72911 26.97660 24.79956 21.46749 18.99022 17.01587 15.08408 13.86094 13.34061 12.73257 12.59451 12.46594 12.46175 12.55844 13.03965 14.45923 16.76959 19.93304 22.96703 26.38957 29.04000 30.30408 32.45033 32.61189 32.60870 32.07547 32.21024 32.04420 31.23223 31.43767 31.94313 32.63473 33.56164 34.01776 35.04274 36.24060 35.98131 35.80750 35.96187 37.04663 36.58759 36.24101 35.75419 34.60076 34.88806 34.15094 33.17490 32.10227 30.07590 29.31985 28.84615 29.03811 29.34783 28.38078 28.60616 29.34272 30.47337 31.11740 33.37784 32.80702 30.70740 28.84615 25.82938 23.73030 21.11517 20.18172 18.60465 17.03034 15.77228 15.49177 15.28707 14.94098 14.39052 14.31925 13.40051 12.68214 11.24007 10.21898 8.85762 8.09495 7.91771 8.27068 9.66030 10.95588 12.41509 14.84375 16.73267 19.97245 22.76576 24.73223 26.56732 18.95567 19.28341 19.56407 20.36700 21.03713 21.31579 21.37264 21.64393 21.79817 21.71821 22.51225 23.40446 24.03400 24.43021 24.63855 23.36975 20.78641 18.38018 15.83412 13.12230 11.16180 10.30242 9.07446 9.47784 10.46931 11.98679 14.96263 17.99163 18.61167 18.43842 18.28808 18.05598 17.91825 19.71787 22.81221 25.77335 28.80012 31.05464 30.40707 27.45707 25.09847 21.31048 17.79434 15.14828 13.66693 11.94252 11.02426 10.39096 9.72162 9.85340 9.94898 11.43220 14.46945 18.07152 22.19225 27.40761 31.73671 34.81172 38.42011 37.63494 38.62487 36.75565 35.27273 34.83354 32.64151 31.81273 31.80693 33.64362 32.18232 32.77616 34.56522 34.52200 34.17431 35.31300 36.02329 34.89399 34.34066 36.00746 34.71698 34.79924 33.23864 31.39098 30.36364 29.37500 27.65957 26.10169 24.03361 22.88557 23.76789 24.37304 25.07418 26.31579 28.17404 29.17790 31.12840 31.73575 31.99280 29.64744 27.80728 25.89467 22.35849 20.03293 17.94501 15.94488 14.64034 14.39423 14.49928 14.63023 14.10596 13.82728 13.45853 12.14218 10.88013 10.51600 9.34066 9.94318 9.99174 10.81688 12.20379 13.33333 15.33613 16.59529 18.45494 21.35000 25.28321 27.42105 27.99786 19.17752 19.58970 19.98414 20.64793 21.39749 21.71300 22.18008 22.19302 21.95835 21.55291 22.42026 23.72546 24.88483 25.52957 26.18354 25.17782 22.51820 20.20964 17.30977 14.21850 11.81118 10.80569 9.54638 9.71905 10.63786 11.88582 14.68683 17.94390 19.08845 19.45441 19.64520 19.21870 18.41851 19.36721 21.38253 23.22267 26.59774 29.39093 30.05869 28.78759 27.93032 23.56955 19.72778 16.41417 13.75891 11.05058 9.51428 8.22472 7.04047 6.03187 5.41495 5.95810 8.50126 12.06764 16.65640 22.85610 28.19767 32.92022 38.61087 39.29577 38.59480 37.52446 36.36364 33.65617 32.73973 31.81818 30.80745 30.44304 30.58124 31.14641 31.83962 33.58209 33.28025 32.29508 32.10084 33.33333 31.97880 33.24468 32.16216 32.91139 32.02055 30.39049 29.04600 27.50000 25.53018 23.95349 22.27273 22.08775 21.56295 21.33621 22.97486 22.78393 25.31381 27.37772 28.40000 30.36437 31.89327 29.65821 27.84091 26.57480 22.42515 19.69072 17.41214 15.78165 14.10901 14.31075 14.23954 14.42158 14.59764 14.90048 13.40815 12.13826 11.59856 10.50390 10.62649 11.01322 12.77675 13.81443 15.43086 16.84378 18.45494 19.86681 20.85620 24.63466 28.59459 30.05405 31.60677 19.39024 19.76744 20.20575 20.91003 21.75076 22.17923 22.54448 22.63321 22.38128 22.08540 22.71700 24.26625 25.65982 26.79047 27.51217 26.70278 24.15513 21.82032 18.61548 15.16270 12.38976 11.21795 9.83575 9.84508 10.83573 11.73668 13.76663 16.03299 17.88235 19.20278 20.38961 20.03434 19.18338 19.13773 19.56976 19.75272 22.58510 24.72591 26.58262 28.08151 29.50011 25.61026 21.70845 18.04076 13.79643 10.14028 8.20675 6.52638 4.85417 3.45177 1.41338 1.50685 3.58352 6.40756 10.45845 17.90254 23.49246 29.56204 37.65374 37.59049 38.32623 37.62215 35.81891 33.37731 30.60686 28.79177 28.57143 28.82823 29.28177 28.57143 29.47883 31.12245 30.12924 30.78203 29.00506 30.63683 30.06993 30.92334 30.03503 29.91304 29.27632 29.15994 28.46890 26.10015 24.37408 22.05882 20.73670 20.69858 20.62257 20.19481 20.98361 20.75991 22.63514 22.77644 24.54545 27.38896 29.67742 28.66521 27.30627 25.99620 22.12693 19.12851 17.37668 15.96180 14.78149 14.91050 15.45529 15.84222 17.02250 17.39130 17.38241 15.34392 13.72308 13.49966 12.99790 13.48907 15.18890 16.76647 17.60000 20.12257 20.96239 22.66010 24.19146 27.11864 31.27341 31.63265 31.89944