ncols 127 nrows 57 xllcorner -124.81250 yllcorner 45.50000 cellsize 0.06250 NODATA_value -9999 78.01278 76.33823 75.39902 74.60559 73.33671 71.88069 70.30701 68.73142 67.11767 65.53839 64.86304 64.10816 62.49533 60.13721 57.25883 55.43478 53.58075 51.45690 53.21120 55.15075 56.47000 56.92420 58.07912 58.40278 58.92218 58.61399 59.34792 59.89336 59.56965 59.33092 58.83576 58.09588 56.70634 55.47818 54.42771 52.95069 52.01741 52.43455 52.81513 52.33333 49.67006 46.96192 43.70110 39.78328 36.25736 33.68078 31.76140 30.12544 30.00440 29.55949 29.84899 30.40369 31.03475 31.55285 32.58714 33.66030 33.49749 33.23339 32.65810 31.20192 29.85634 29.04776 29.17966 28.95907 28.80384 28.77860 27.96759 27.68556 26.87564 26.45089 25.72747 25.13873 25.66303 27.35978 29.15651 31.39600 34.13897 37.25136 39.23983 42.41466 44.77504 50.48860 54.02504 60.65574 66.55844 73.57143 70.29289 67.88840 66.23246 64.44805 62.00000 61.91513 60.58824 59.68310 60.20656 60.43046 60.14412 61.91223 64.11609 64.20118 62.46851 60.27050 58.72093 58.00971 57.40016 57.02171 57.33453 57.15421 57.22311 56.90345 57.16749 57.63257 58.66856 57.57487 54.74114 52.34899 49.19355 45.60345 42.61892 40.20487 38.25780 36.60011 34.69490 33.60971 32.05128 30.75015 29.61300 74.41092 72.80898 71.34598 69.52464 67.77244 66.24385 64.56992 64.39459 64.51122 64.68296 64.81529 64.86001 64.32101 62.61062 60.45400 58.35408 55.51127 52.17051 52.82209 53.52413 54.16483 55.05692 55.26718 55.56391 56.11794 56.12392 56.41562 56.59785 56.75910 56.33016 56.18802 54.95821 54.15169 52.95918 51.38203 49.82306 48.22767 48.04795 47.91474 47.34513 44.65062 42.33727 39.27765 35.84165 33.16933 32.18002 31.79102 31.67518 32.02290 32.42435 32.92206 33.74148 34.60170 35.36122 36.34460 37.45349 37.08529 36.46312 35.52593 33.15868 30.99878 29.50283 29.55169 29.50444 29.22059 29.16667 29.63022 29.30321 29.19742 28.83527 28.41346 28.26014 29.90021 32.21490 34.84389 36.91176 39.36310 43.66693 44.41860 46.34956 49.60526 52.74809 57.19361 62.92135 68.58864 75.08621 73.21981 72.91925 70.42334 66.64634 63.13609 61.34454 61.33721 59.60591 58.45070 59.37500 59.67742 61.71875 63.24435 63.35000 59.40212 57.29962 55.83874 54.02504 51.92143 53.59351 54.99307 56.26186 58.34951 60.92593 61.92661 63.33114 65.32091 61.77686 57.51856 53.39035 48.43750 44.09164 41.05812 38.96178 36.67192 35.06494 33.47826 32.13970 31.48148 30.91922 30.20054 72.27336 70.80106 69.02828 67.07829 65.58820 64.83442 64.03271 64.03680 64.35325 64.49411 64.13553 63.65712 62.98889 61.52284 59.90485 57.81203 55.39496 52.59117 52.31802 52.25419 52.42479 52.55262 53.77189 53.88740 54.38871 54.67532 54.18357 54.30480 53.98166 53.33025 52.89157 52.42464 52.08931 51.50058 50.50000 48.22180 46.77180 45.80458 45.07241 43.88379 41.28834 39.10708 36.55957 34.26852 32.47924 33.34146 34.80467 36.10509 36.47469 36.97877 37.47216 37.75422 38.12659 38.70828 39.69555 40.66986 40.17241 39.32556 37.98756 35.12801 32.07268 29.75933 29.25420 29.08347 29.42631 29.96109 30.60128 30.68348 30.80952 31.62320 32.34066 33.30365 35.41536 39.23142 43.41987 45.75758 48.12353 51.10701 52.11268 52.35426 55.02681 57.59494 60.48253 64.70588 69.65679 72.94953 72.32376 72.50000 70.27473 66.49616 64.00491 61.60934 60.69959 60.31519 60.22727 58.76623 58.73984 59.65435 60.86698 60.31469 57.24719 54.74891 52.49740 50.75758 48.70813 51.49186 53.85338 56.42093 60.62500 64.16611 65.54817 65.28926 64.12256 59.93485 54.49331 49.90814 45.86826 42.29508 39.85746 38.30735 36.59476 34.94959 33.10699 31.38447 31.36678 31.33419 31.23275 71.14343 69.53894 68.00298 66.20225 65.17828 65.16948 65.23012 65.02746 64.66151 64.19252 63.43762 62.33793 61.30786 60.03745 58.46575 56.93601 55.23825 52.69562 52.23610 50.96195 50.68027 50.82493 52.02232 51.89518 52.25564 51.99879 52.51648 51.93548 51.03211 50.66262 49.68388 49.47183 49.32796 49.87310 48.91479 47.12480 46.08492 44.73198 43.77181 42.42671 39.76177 37.74134 35.98250 34.89321 34.05102 35.79308 38.23576 40.32043 40.71075 41.16322 41.31274 41.04271 40.72185 40.97655 41.35290 41.86410 40.98764 39.74886 38.12370 35.07126 30.88621 28.23037 27.95983 27.27875 27.93388 28.98851 29.82456 30.96314 32.44681 34.23895 35.85438 37.68852 41.06145 45.75372 50.00000 51.64835 53.80769 55.48128 55.63003 56.30252 58.29238 60.86675 63.49085 66.19601 68.86095 71.13003 71.73601 71.76829 69.66102 66.43041 62.48492 60.89286 60.28461 58.68421 58.78661 58.86610 57.82443 57.61246 57.58824 55.76923 52.99335 51.60944 49.23547 47.49016 46.33803 49.43715 52.46744 56.29655 62.22760 68.01909 68.40062 64.97227 62.07207 55.97610 49.51076 45.04284 41.82948 39.91393 38.63636 38.30964 37.36766 35.78947 33.57548 31.18006 32.08633 32.92627 32.94403 73.26364 70.94692 69.49090 67.96134 67.09816 67.24416 67.44771 66.97936 66.02364 64.83146 63.46154 61.48380 59.31254 58.05051 56.39037 55.14168 53.62282 52.12264 51.35720 50.63291 50.27199 49.86021 49.56917 49.26722 49.85229 50.29806 49.81061 49.72136 49.72727 49.38989 48.57542 47.90773 47.36710 47.49403 46.77996 46.38902 46.35299 44.98969 43.89985 42.54144 39.61021 37.17297 36.20061 36.09060 36.13984 38.38529 41.26263 43.62314 44.14252 44.64774 44.75850 43.87160 42.97988 42.51581 42.38295 42.38763 41.22394 39.61432 37.33974 34.07213 29.84461 26.36888 25.56340 24.87093 25.61350 27.03098 28.60288 31.09065 33.99515 36.79491 39.17575 42.24684 46.07955 51.18364 56.46651 57.33642 57.61763 57.67263 57.97342 58.52273 59.59870 62.86192 66.03651 67.69784 67.73952 69.83871 70.07353 69.59270 69.02246 64.52991 61.22715 59.77444 59.04826 58.10277 58.26902 58.76168 57.74908 56.08324 54.31894 51.47864 49.58449 48.80319 46.56197 46.02013 45.10582 48.33901 51.46018 55.94595 62.05906 67.36334 65.57132 61.24524 57.53945 52.35031 46.65297 42.32283 40.75738 38.93967 38.66816 38.18304 38.26562 36.61485 34.80057 33.14315 33.80575 34.64227 33.95382 76.61203 72.87072 71.29661 69.61603 68.57578 68.65957 68.71923 67.87058 66.35373 64.49562 62.59193 60.33767 57.78923 56.63642 55.32690 54.14348 53.07263 51.55889 50.93100 50.17950 48.81890 48.62069 47.67892 47.13855 47.93578 48.14529 48.85321 49.04459 49.81829 49.56370 49.57289 49.50685 49.06569 48.21041 47.63599 47.63497 47.47564 46.43282 45.20633 44.27258 41.09110 38.88092 37.45708 37.11966 36.91450 38.39578 40.44349 42.24580 42.74877 43.27186 43.45650 42.49094 41.64182 40.97554 40.47264 39.61570 38.10445 35.85213 33.29721 30.87605 27.86631 25.73674 25.31003 24.75083 25.59222 26.92308 28.24262 31.64123 35.44078 39.22853 42.06603 45.38097 50.06432 55.64263 60.86519 61.40478 61.82609 61.66245 61.16032 61.87683 61.75190 64.29990 68.07648 68.19923 69.04025 68.06020 68.99004 67.52434 66.82432 62.82799 59.65147 58.48101 57.29304 56.40704 56.66667 56.33117 55.05051 53.35277 50.59880 48.67777 47.77098 46.27907 45.66540 45.12093 44.65617 47.89430 50.26667 54.99537 60.10101 65.16156 62.36203 58.06452 54.28571 49.23703 44.42949 40.62992 39.11672 37.59470 37.89474 38.45350 39.31250 37.87611 36.77615 35.90226 35.88850 35.91487 35.15528 77.80466 75.66913 73.13332 70.65965 68.79527 68.12171 67.46291 66.11087 64.32612 62.31173 60.57227 58.72010 56.83560 56.37311 55.50703 54.45066 53.30345 51.70961 50.62701 49.51193 48.02062 47.20992 46.68906 45.49389 46.02804 46.59271 47.65625 49.62049 51.19266 51.67057 51.99787 52.22620 50.94340 50.24958 49.53101 49.41378 48.91941 48.15549 46.98447 46.26320 42.90286 40.65562 39.04781 38.08770 37.43422 38.14287 39.24666 40.22181 40.73793 41.23165 41.53338 40.66568 39.89012 38.92983 37.60629 36.30342 34.50235 32.13395 29.68911 28.15433 26.30685 25.38922 25.17269 25.13499 25.97623 27.16444 28.73100 32.55578 36.91176 41.58955 44.58198 48.81835 53.65112 59.80684 66.46778 66.28289 65.43017 65.16526 64.94709 65.70755 66.73554 67.19478 68.42949 68.33137 68.50789 66.35514 67.10165 65.60333 64.04342 61.05263 57.77311 57.45098 55.16701 54.23564 53.82979 53.27154 52.67559 49.84709 47.66839 46.26122 45.68182 45.61028 45.23985 45.08929 45.77304 47.30308 49.43396 51.47203 55.69106 58.82353 58.06703 55.82053 54.40544 50.26072 46.33943 43.37514 40.55172 38.20621 37.42110 37.72071 38.00298 37.47642 36.73843 36.05727 36.40601 36.76471 35.47459 77.85592 77.00064 74.09404 71.20732 68.92127 67.86342 66.83212 65.29412 63.10739 60.77653 58.91450 56.98906 55.14118 54.61584 54.02494 53.26929 52.36711 51.08765 50.11111 48.98485 47.06325 46.02813 44.71638 43.48477 44.43872 45.60937 47.30159 49.89201 52.62605 53.11245 54.22819 54.44874 52.77612 51.56250 50.00000 49.16759 49.06639 49.30971 49.68789 49.94426 45.22383 41.91332 39.68107 38.09730 36.72643 36.59727 37.25081 37.71940 38.00217 38.31698 38.40101 37.86861 37.30149 36.08086 34.55980 33.14801 31.34119 29.62859 27.72471 26.85920 25.81983 25.22993 25.79297 26.17824 27.40316 28.91433 30.82616 33.87578 37.80864 41.63743 44.88950 49.50604 54.25139 60.01296 65.71730 66.70168 67.67456 67.95511 68.70897 67.97312 69.40750 68.57798 69.26070 68.19464 68.50133 66.57102 65.55398 64.87252 62.32877 59.01202 57.90464 55.52257 53.15789 52.26700 50.96031 50.48860 48.69281 46.73591 45.00978 44.24696 44.20772 44.33606 44.47317 45.56091 46.42857 47.32794 47.87045 49.86059 51.77365 53.50953 53.90805 54.38312 54.12446 50.00000 47.17438 44.17017 41.72230 38.75686 37.94582 37.54907 37.28952 36.81489 36.65829 36.64731 36.84358 36.94581 35.98485 73.04917 72.22933 70.92287 69.59554 68.40878 67.88325 67.25458 65.71395 62.45751 59.52527 57.14711 55.02327 52.85981 52.42836 51.87272 51.44784 51.10167 50.47380 49.50980 48.27006 46.22210 44.46792 42.91901 41.06105 42.69036 44.31697 47.09208 49.66863 52.69397 54.46676 55.83333 56.71343 54.35723 51.87388 50.50992 49.65157 49.58972 50.14670 51.60714 52.16433 46.98055 42.76737 39.78930 37.11590 35.25077 34.30571 34.03796 33.90662 34.17074 34.48935 34.67181 34.38183 34.10515 32.89373 31.22962 29.63801 28.37119 27.38693 26.28018 25.62563 24.88208 24.68404 25.18889 25.77783 27.21339 29.18202 31.41737 33.98058 37.15192 40.37990 43.74379 48.88957 53.96712 59.21659 65.46392 67.45050 68.94848 69.68049 69.26606 69.40976 69.86874 70.27027 69.47566 68.90244 68.82129 67.43243 65.76873 63.08470 61.70468 58.74126 57.51634 54.57413 53.04659 50.87822 47.50594 47.12702 44.85887 45.14825 44.26586 44.28335 44.14824 43.71147 44.75000 46.14625 46.85535 47.15640 47.68041 47.97662 48.08307 48.41463 50.27347 51.62771 52.52874 50.10204 48.32610 45.81354 42.76254 39.78723 38.53276 37.34349 36.34886 35.98684 36.00675 36.18019 36.07719 36.51926 35.62718 68.49842 67.16506 65.84881 64.76838 63.72159 63.47796 63.37262 62.48349 60.47614 58.72074 56.72079 54.61378 52.61964 51.52882 50.28345 49.05207 48.47107 47.67099 46.60557 45.26160 43.58937 42.51701 41.40420 40.01468 41.49485 42.58958 44.83333 47.47082 50.86538 52.14286 54.17311 54.78132 53.60934 52.32480 50.76239 50.44144 50.33040 50.22579 50.42313 50.70968 44.85695 40.62500 37.45151 34.67006 32.55493 31.81703 31.67256 31.62762 31.49234 31.29344 31.06009 30.61930 30.02242 28.83374 27.47647 26.28239 25.96780 25.68036 25.50920 24.57547 23.73642 23.14199 23.00581 22.76479 24.35761 26.81237 29.32460 31.32022 33.58630 36.67076 40.54480 45.83805 50.60362 55.09642 62.47300 65.12043 67.65453 69.06677 68.31858 68.82952 68.79896 68.87755 69.75155 68.49866 69.41679 68.24324 66.31579 62.86645 61.54985 59.80271 59.18708 56.31749 53.89249 51.93548 49.21466 47.86652 46.00444 45.18287 44.77352 45.02974 44.19048 44.15584 45.63492 46.78254 46.67722 47.11111 46.78060 46.51163 45.70376 44.50915 45.94272 47.92925 48.42742 47.25931 46.39924 44.98807 42.33306 40.42553 38.66359 37.76337 35.64004 36.08247 35.22135 35.05675 35.30889 35.77335 35.78453 66.20334 63.38017 60.35892 57.27373 53.65675 53.47500 53.40461 53.76497 55.48504 57.29274 56.78489 54.93887 53.20823 50.84296 47.91733 45.62769 44.86245 43.75953 42.92143 41.89930 41.29524 40.49683 40.06327 39.60618 40.38866 41.34295 42.99729 45.73748 48.37947 50.49277 51.96399 53.18146 52.77984 50.73018 51.07984 50.27223 50.25496 49.14152 48.15906 47.02166 42.69389 39.13438 36.28852 33.59617 31.56699 30.74819 30.47403 30.18223 29.66800 29.17129 28.54810 27.37026 26.56873 25.08194 23.88500 22.93094 22.96737 23.09142 23.22203 22.57515 21.84607 21.24472 20.92681 20.39178 21.79336 24.19585 26.77970 28.45563 30.77367 33.77846 37.84936 43.20163 47.62069 52.16763 57.29167 61.74497 63.83970 66.57754 66.82646 67.94065 68.35902 69.05594 70.33582 70.91153 70.73343 69.51754 66.07735 64.21371 61.03723 60.28292 58.78963 58.00562 55.29695 53.36000 51.37868 48.25750 47.02676 46.37973 46.08696 45.34161 45.02075 45.32353 46.28571 46.76724 47.78037 46.96970 45.40230 44.29025 42.95223 41.62011 41.08812 41.72685 42.51870 43.86027 44.21618 43.29806 41.44071 40.18203 39.27239 37.30769 36.13115 35.80999 35.13033 35.04601 35.62500 35.84763 35.69425 65.72407 62.90850 59.17844 54.67550 49.77688 48.51401 47.14599 46.30627 47.30190 48.20798 48.34768 48.09863 47.82936 46.36252 44.33241 42.71201 41.95854 41.40951 40.57402 40.15080 39.47459 39.47467 39.17275 38.79358 39.84962 40.16837 42.02226 44.76257 47.16981 49.28230 49.74576 52.21311 51.50628 50.70203 50.55026 49.01639 47.50462 46.09729 44.52975 42.87912 40.37716 38.48585 36.73547 33.77748 32.06036 31.12870 30.24148 29.65874 29.14695 28.48566 27.51225 25.73988 23.57339 21.53355 20.05499 18.95267 19.20721 19.68109 20.03872 19.69895 19.39267 18.98907 18.75805 18.54349 19.36105 20.83682 22.80480 24.82340 26.92656 29.97356 35.00931 41.13833 45.97990 50.40350 55.56003 57.91139 59.57113 63.17671 65.46185 65.65217 68.72659 70.01404 73.04284 71.15607 70.17115 67.82178 66.59574 63.49614 62.75510 60.75778 59.50957 58.66051 57.47452 57.09459 55.54502 52.84148 50.61224 49.86007 48.47645 47.00816 46.95603 46.12795 46.35135 46.81319 46.79589 45.44618 44.38976 42.01807 40.96859 38.85490 38.94472 38.34586 38.45460 39.37677 41.26214 41.17117 40.78947 40.48538 39.12671 37.81726 36.46982 35.75214 35.28347 35.32290 35.20362 35.54587 35.54913 66.28176 64.26520 60.26083 54.44390 48.70690 46.02410 43.40936 40.73906 39.45484 37.88618 37.23593 37.94582 38.67993 38.40561 37.71955 37.03209 37.31273 37.08363 37.10280 37.72161 37.75510 38.38832 38.84684 39.65517 40.35517 40.82019 42.00385 44.09677 46.61572 48.31865 49.65251 50.67014 50.65048 50.00000 49.09707 47.16790 45.26814 43.30435 40.87788 39.35788 38.14572 37.11240 35.93880 33.88278 32.47115 30.95586 29.57352 28.46556 27.85515 27.26620 26.39405 24.69064 22.60335 20.21209 18.33312 16.84119 17.00127 17.28821 17.59635 18.06404 18.46998 19.08555 19.96145 20.87572 22.21356 23.39862 25.66146 27.04268 28.34749 31.35077 35.31957 40.49451 44.67602 49.24906 54.83163 57.08841 59.02490 61.27349 63.52113 66.84709 69.13161 72.04545 74.18605 73.55769 71.79803 69.87730 68.18830 65.41502 64.66431 63.99055 62.96774 62.67081 61.62098 60.16355 58.65385 57.02191 54.37626 53.02475 50.40687 49.06500 48.25678 47.18543 47.02774 46.80625 46.23574 43.93673 41.62791 40.52780 38.48950 37.45942 36.69545 35.08287 35.17241 37.20280 38.48406 39.33735 39.96540 40.24919 39.06137 38.03612 37.33540 36.38339 35.61344 35.64286 35.68053 36.10224 36.01138 67.38420 66.62694 63.44191 58.16752 53.31244 49.46693 45.51224 41.18254 39.31650 36.92002 35.02396 33.84800 32.34316 31.53512 30.99888 30.31508 30.94984 31.74114 32.77870 34.60726 36.32671 38.18786 39.91098 41.29834 41.88119 42.16343 42.70270 44.71545 45.50000 47.62500 48.79518 49.88381 49.13007 48.84348 46.78571 43.89655 41.91271 39.56983 37.41311 35.82839 35.62451 34.96294 34.62382 33.76866 32.98579 31.01636 28.69643 26.91711 26.50131 26.11740 25.55739 24.07240 22.17715 19.72170 17.52416 15.27149 15.06024 15.27300 15.34412 16.69748 18.18498 19.66229 21.51572 24.00000 25.85790 27.96742 30.89552 31.61290 32.64550 34.31224 37.27428 40.08834 44.24195 49.73522 55.41082 56.06306 56.90104 59.44343 62.78195 66.81360 69.87261 74.48071 76.04790 76.72065 74.12869 72.33202 71.19048 69.45701 70.18414 69.11357 71.12403 69.10959 69.33594 67.66917 64.90486 61.10532 58.79630 55.50612 53.76227 51.43934 49.28958 48.27353 47.54829 47.52747 44.84452 43.53448 41.21622 39.81233 37.83019 36.60212 35.24590 34.89933 34.86239 36.03919 36.89912 37.53125 38.61232 39.41074 38.36207 38.17935 37.23645 36.22848 35.28302 34.79077 34.88024 35.33007 35.42163 68.15338 68.55414 66.38146 61.57043 57.36849 52.83979 47.92273 42.78269 40.28380 37.23404 34.32196 32.23189 29.86136 28.62268 27.91454 27.17307 27.82350 28.62257 29.37500 31.26468 33.23302 35.30499 37.32841 39.12921 39.24949 39.64803 40.33613 42.25207 44.14183 45.80838 48.02794 49.01881 47.59542 46.07843 44.49962 41.27782 38.68491 36.85996 35.00781 32.80088 32.07622 31.56484 31.04502 30.85961 31.06646 29.43262 27.58592 26.08091 25.69061 25.31709 25.02726 24.57862 24.15512 23.12119 21.52914 19.95717 19.06774 18.56120 18.19955 19.66780 21.11307 22.79704 25.01962 27.73175 29.68221 31.65049 34.15242 35.17502 36.35294 37.29258 39.57119 42.79039 45.77670 49.58478 54.85736 57.07666 58.89988 61.60000 65.34974 68.59838 70.12448 75.20194 78.55960 80.00000 78.33583 76.05839 74.68652 73.86364 73.51234 73.57724 75.12987 74.81481 74.06542 72.66667 68.84058 65.48724 60.82131 58.75000 55.17837 53.06122 51.18110 49.24839 48.48954 46.88249 45.69319 44.25234 42.01717 40.06706 38.38766 36.72414 36.00152 35.25741 35.16614 34.70226 35.72895 36.62420 37.58686 38.48214 38.65295 37.91281 37.00947 35.89876 34.64696 34.27217 34.44871 33.99340 34.64052 67.96635 68.70908 67.86220 64.20724 60.98955 56.98113 52.21077 47.53419 43.55401 39.15252 35.44244 33.36729 31.29590 30.08544 29.06431 28.26999 28.01047 27.89823 28.02742 28.93850 30.34682 31.54676 33.15508 34.60912 35.36585 35.33937 36.55462 39.22914 42.00627 43.80040 46.26609 48.15574 46.51163 43.73434 41.28044 38.53007 35.85685 33.92169 31.62202 29.42263 28.65336 27.62751 27.01230 27.96582 28.64509 27.77778 26.62919 25.68639 25.20612 24.94516 24.68083 25.01784 25.38354 25.12671 24.25595 23.33333 22.49889 21.77617 21.27247 22.68007 24.05840 25.80197 27.95201 30.55614 32.28942 34.14888 36.57814 37.58248 39.14266 40.14423 41.95380 44.19604 47.25610 50.09881 53.68497 57.27924 61.26341 64.06250 67.27749 70.82153 74.25816 77.08333 78.92857 80.90586 80.91787 81.71701 80.72289 79.79798 77.29508 78.85533 79.43485 79.45990 79.67033 77.25258 72.35000 67.81768 65.35433 60.76040 57.64463 54.81518 52.46854 51.45773 50.14245 49.27536 47.25169 45.51821 44.84201 42.04819 39.91499 38.50531 37.75263 36.42027 36.64122 36.08357 36.06911 36.96099 38.36207 39.20493 39.35625 39.33144 38.55207 36.35659 34.58092 33.38736 32.20081 31.32780 31.29952 67.94219 68.89226 68.72045 65.94987 63.42937 59.73627 55.22211 50.77087 46.66709 42.36919 38.71461 36.86336 34.94883 33.74483 33.13553 32.53284 32.14015 31.83251 31.33014 31.58637 31.71902 32.24852 32.76490 33.59818 33.72525 34.79789 34.29569 36.15819 37.77279 39.56186 41.98876 44.49064 43.16354 41.85520 38.86085 35.94059 33.55019 30.53302 28.09458 25.73721 24.78088 23.89056 23.80016 25.72418 27.11512 27.60672 27.30583 27.05592 26.25503 25.49333 24.97261 25.29232 25.70000 25.83143 25.84774 25.76014 25.80090 25.96996 25.95699 26.71613 27.34043 28.45884 30.01025 32.14491 34.02423 36.05183 38.26385 39.39663 40.68259 42.08056 43.76829 45.72281 49.00442 52.89389 56.97259 59.89149 64.52952 67.01807 70.29077 72.13115 74.35345 76.49919 78.28283 79.37400 80.00000 78.87324 77.52525 77.16150 75.35885 74.96183 75.00000 75.37313 75.20194 72.41653 71.04539 68.60465 65.00000 60.99585 58.56574 55.57570 53.48837 52.06787 50.92688 50.78616 49.69040 48.07312 46.25360 44.22614 42.06897 40.67599 39.90976 39.79849 39.11187 38.26458 38.57039 38.93961 39.78047 40.27677 40.75342 41.29173 39.78230 37.10308 34.69828 32.35294 30.52218 28.37709 28.29244 67.95263 68.93713 69.11080 66.60430 64.19726 60.97665 56.78448 52.97012 49.42146 46.07213 43.02442 40.73564 38.57441 37.20190 36.51001 35.74865 35.20290 34.62756 33.92553 33.52855 32.88549 33.09167 33.30565 33.48361 34.08051 34.13015 34.28077 34.91704 35.84000 37.27121 39.83051 42.49037 41.49140 39.18427 37.75948 34.73054 32.13611 29.50089 26.59167 23.75505 22.86245 22.27679 22.15164 24.30000 25.72023 26.81714 27.32936 27.64524 26.51575 25.30827 24.59729 24.76314 24.94316 25.13431 25.50725 25.75176 26.32617 27.14363 27.80440 28.13626 28.52048 29.26579 30.35078 31.65468 34.12069 36.36731 39.15824 40.56261 42.05943 43.40532 45.79930 48.29203 50.67669 55.32741 59.39850 62.98077 67.14697 69.93769 71.48387 73.30097 74.70845 76.64474 77.53002 77.78689 77.54098 77.66990 74.01033 73.38308 72.60940 71.22862 69.86301 68.59083 67.77963 66.01942 67.71300 65.71019 63.07902 61.99060 59.62687 56.53495 54.31548 53.39901 53.22034 53.26460 51.84770 50.44510 48.99713 47.78068 45.51122 44.15110 44.18317 43.85965 42.69521 42.58555 41.99695 42.34467 43.59352 44.30923 45.02974 45.18459 42.67751 38.74498 35.64028 33.13789 30.57247 28.76827 27.88978 67.40362 68.13608 68.38447 66.82822 65.35714 62.85415 58.58028 54.74971 51.36502 48.44904 45.79439 43.32402 41.19368 39.91496 39.72583 39.62057 40.33088 41.37621 42.45810 41.97248 41.09954 40.32518 39.26849 37.91916 37.56219 37.41688 36.91160 37.73776 39.09091 40.49296 41.99260 43.17396 42.33512 40.57592 38.48858 35.84322 34.01701 31.60782 29.40434 27.52489 25.75360 24.90298 24.19547 24.54322 25.37528 25.42633 25.66130 25.74105 24.71706 23.58603 22.93620 22.54846 22.39411 22.41309 22.82243 23.17578 24.04883 25.11325 26.07321 26.36404 26.81220 27.34481 27.53657 28.41637 30.89202 34.70395 38.93172 40.87908 42.85446 45.20098 47.82277 50.64433 53.79932 59.84252 63.90578 67.42515 71.23198 73.94958 74.34916 74.28571 72.36629 74.44254 73.72583 73.25784 72.63158 72.57785 72.70270 71.27846 69.42078 68.02120 67.44792 65.23948 65.19258 62.24066 61.81575 59.62773 59.36330 58.79052 55.58894 54.12186 53.19527 52.48227 52.50836 52.88462 52.00669 51.25523 50.61287 48.32714 48.11151 46.67553 45.19671 45.01385 45.28215 45.38270 45.40182 45.64516 46.37973 47.29412 47.90112 48.41130 44.72656 40.96715 36.78279 34.07235 31.02134 29.23795 28.34728 66.21622 66.28754 66.33288 66.71275 67.00150 65.13415 60.41342 56.26232 53.18430 50.54908 48.09677 45.70634 43.42552 42.25198 42.29003 42.42081 43.66812 45.72749 47.59852 46.75043 45.75821 44.66736 43.29181 42.00090 42.07994 42.66212 43.24267 44.56221 46.12527 47.44007 47.28237 46.97581 45.56690 43.68932 41.03853 39.52788 37.28309 35.28377 34.02141 32.72289 30.71429 28.96948 27.43852 26.71082 26.18243 25.54494 24.78185 24.18622 22.82958 21.61651 20.79738 20.53703 20.31177 20.17355 20.44043 20.52595 21.23230 22.23434 22.87762 23.17093 23.45393 23.81829 24.31043 24.86887 27.83542 32.43560 37.88357 41.08347 44.62366 47.90462 50.98598 54.38009 58.14332 63.43612 68.17406 71.25668 74.60087 75.18911 73.55769 74.31118 73.28431 72.55068 71.72061 70.84746 71.02564 70.27027 70.44248 69.32990 67.86913 65.33795 64.74576 63.11707 61.53846 59.61282 58.33333 57.75536 56.86881 55.21739 53.28467 53.14039 52.38678 51.47420 51.74825 51.24408 50.53129 52.03851 51.68539 50.62370 49.69450 49.69605 49.20803 48.73284 48.74082 48.38235 48.54086 49.05914 49.33511 49.74160 50.61983 51.33268 46.78388 43.09551 39.62848 36.37647 32.92079 30.85106 30.28777 66.06731 65.54104 65.25086 66.17032 67.03067 66.07303 62.17876 58.86201 55.65574 52.40803 49.58114 47.14788 44.94334 43.59344 43.75106 43.89961 45.42212 47.74592 50.06998 49.43221 48.71974 48.17568 48.22673 48.22768 49.55368 52.13205 55.04493 56.35095 57.95779 58.50283 56.79110 53.98601 51.69231 49.00580 46.42384 44.50088 42.42021 41.11498 40.22360 39.56818 37.25032 35.07234 32.60246 30.68139 28.78631 26.85636 24.48813 23.18754 21.13739 19.54873 18.51365 18.58059 18.72740 18.35250 17.68613 16.95627 17.35883 17.86409 18.41858 18.43094 18.51739 18.90815 19.99273 21.41996 24.82746 29.73594 36.42180 41.38672 47.35849 52.07312 56.67373 61.43498 64.10891 66.70984 70.35398 72.91066 74.61300 73.42271 73.48485 74.41860 71.84943 71.91304 72.21254 70.39587 72.59194 70.50173 70.17241 67.89916 67.70492 65.46645 64.06995 62.99213 61.20427 58.37004 56.81818 56.20384 55.27086 54.91132 53.21716 52.86738 50.71685 50.18072 50.16988 49.65398 50.17442 48.83721 48.34620 47.64398 47.20497 47.21074 46.97987 46.82692 45.82934 47.21190 46.52456 47.57331 47.57576 47.92285 49.29245 50.00000 47.44318 44.29400 41.73021 37.44076 34.30493 32.95285 31.77642 66.24730 65.08894 64.09217 65.40362 66.64969 66.58019 63.87258 61.57445 58.35569 54.59937 51.12072 48.81258 46.71399 45.31544 45.49873 45.62564 47.11138 49.44703 51.57881 51.30486 50.75519 50.65868 51.42220 52.32604 54.06901 56.76465 60.24042 60.95090 61.58228 61.64485 59.45802 56.63053 54.24004 52.21759 49.87735 48.68146 47.05631 45.58635 45.24148 44.24658 41.53382 38.13559 35.74051 32.26177 30.23758 27.83439 25.17896 23.35223 20.30856 17.84319 16.18899 16.39940 16.53186 16.34169 15.67631 14.90914 15.29907 15.79240 16.37025 16.67170 17.08150 17.58382 19.08643 20.72203 24.50631 30.01172 38.04569 44.02601 51.18039 57.82224 62.28593 67.41486 69.67419 72.87390 74.60191 75.25253 75.17668 74.73118 74.10714 74.55986 73.21739 72.27979 71.53846 71.61017 71.06599 70.38591 70.27027 69.73684 67.46411 65.65008 64.55399 63.27640 62.14393 60.26201 58.77193 57.86026 56.00858 56.01604 54.14474 52.61628 51.40023 50.35211 50.00000 48.50000 47.98883 47.58065 46.44397 46.29248 45.53846 45.37513 45.01425 44.01141 43.95973 44.79850 44.20904 44.84375 45.25817 45.77244 46.25375 46.50485 45.35953 44.02299 42.61242 38.57809 36.52430 34.12527 32.64286 66.67748 65.86720 64.89038 65.75798 66.76737 67.04489 65.43826 64.13570 61.38955 57.40484 54.04524 51.52095 49.28336 47.77284 48.03673 48.25027 49.33828 50.88757 52.43846 52.34308 52.26693 52.43465 53.75161 55.25833 57.05794 59.54501 62.47705 62.34084 62.02460 61.00771 59.47075 56.95793 55.03597 53.69078 52.33161 51.93626 50.62972 50.00000 49.70803 48.57347 45.32098 40.83113 36.94845 33.75286 30.87211 28.21475 25.59727 23.58352 19.63969 16.35414 13.99854 14.35035 14.57055 14.59166 14.18165 13.62429 13.79967 14.31330 14.84572 15.59740 16.39586 17.27421 18.75000 20.37848 24.30622 30.59731 40.40838 47.20553 56.46598 64.73747 69.89247 75.39315 76.67304 79.23323 80.59701 76.64975 74.73958 76.93662 73.94737 73.61592 73.63014 74.03169 75.08803 72.66553 71.93277 71.46423 70.22767 69.23077 68.47426 67.90235 68.11723 64.64041 64.07035 63.21370 61.29985 60.80692 58.21918 58.06452 56.51316 54.56204 53.07971 51.08565 49.48037 48.43387 47.22864 46.02076 45.31792 44.77528 44.14062 44.30168 43.40000 42.97809 42.08122 42.58496 42.17119 41.93227 41.32860 41.66667 41.73669 42.27941 41.73333 40.68709 39.55492 37.26536 34.92096 33.41317 32.33890 67.22995 66.50225 65.69260 66.37438 66.86769 67.39094 66.68454 66.18735 63.84348 59.89901 56.42857 53.80220 51.29442 49.64297 49.70736 49.74820 50.31780 51.25324 52.10028 52.60025 53.02598 53.66918 55.58659 57.72923 59.57138 61.28266 63.31943 62.95316 62.20557 61.20518 59.80392 58.26490 57.11376 56.17363 55.25494 54.65668 53.75000 53.11969 51.36691 50.35748 46.26359 42.11484 37.71797 33.47902 29.41441 26.15948 23.34728 21.19645 17.70393 14.97403 13.16806 13.43178 13.74968 13.89203 14.07989 14.40382 14.68387 15.21635 15.80829 17.30996 18.90667 20.48075 21.61282 22.86923 26.30313 32.28737 41.04225 47.00292 56.31579 65.29497 73.11558 79.94700 83.40787 83.51064 85.67073 83.72302 81.12701 79.30728 79.46903 78.67257 77.82686 77.12177 77.34807 75.91912 74.41230 75.04488 74.23077 72.77040 73.44633 70.83333 69.77740 68.94198 68.09045 65.63518 65.60559 63.82175 61.43695 60.55172 58.25503 56.68317 55.09091 52.51497 50.84938 48.31271 47.96798 47.22565 46.00000 44.84979 43.78321 43.49894 43.60795 42.54221 41.81818 39.91354 39.60976 39.62617 38.30798 38.53868 37.95718 38.07420 37.66234 37.35818 36.51942 34.89344 33.35308 32.16535 31.33175 67.47573 66.83841 66.43573 66.45377 67.09961 67.55347 67.34046 67.18845 65.47819 61.65875 58.36823 55.57945 53.10707 50.98639 50.69140 50.33553 50.35840 50.65401 50.97411 52.03041 53.31389 54.64150 57.17740 60.13936 61.99275 62.82986 63.88989 63.43498 62.43023 61.34391 60.58502 59.68593 59.11444 58.34829 57.94033 57.12831 56.44914 55.10613 53.29821 51.44363 47.50110 42.79015 38.66887 33.26593 28.68876 24.77040 21.67861 18.71757 15.98259 13.73741 12.34660 12.70809 12.99847 13.47794 14.05372 14.73991 15.28519 15.88144 16.61259 18.75313 20.91036 22.62649 23.82498 25.04579 28.23573 32.78875 40.12346 45.52136 53.94979 63.93755 73.24521 84.12538 88.47695 91.61130 91.96141 89.37153 88.50987 87.03375 85.56150 83.06452 82.49097 81.02467 78.53107 79.66102 77.02206 76.67877 76.92308 77.00587 74.80769 75.18051 75.22361 73.96768 71.80385 69.16525 67.80488 65.59055 62.94643 61.48844 60.77465 58.33333 56.31579 53.86100 52.20588 49.63986 48.91304 46.95704 47.31824 46.59091 45.28620 44.01993 43.43385 42.60870 41.12754 40.36313 39.31584 37.16279 36.81474 35.43827 35.30784 35.37604 35.11259 35.86262 35.46911 34.53717 33.42264 32.22222 31.64990 67.56788 66.77477 66.48172 66.41823 66.57224 66.87247 67.11532 67.39336 66.25218 62.59637 59.52964 56.94394 54.54312 52.47301 51.67247 50.77236 50.28927 50.43756 50.55240 51.84272 53.47775 55.11817 57.16494 59.47532 61.00725 61.49425 62.16528 62.27628 62.24735 62.23308 62.18088 62.10961 61.92429 61.50955 60.79960 59.13043 57.52941 55.43346 53.23741 50.27125 47.44876 43.76010 41.11917 35.29718 30.29026 25.52230 20.76605 17.13017 14.60625 13.07621 11.93575 12.46363 12.92575 13.33854 13.98207 14.61531 15.30527 16.27684 17.30875 19.29925 21.60735 23.40116 25.52425 28.07894 30.19374 33.45674 37.56320 41.70183 48.21652 58.20595 66.74641 77.14286 84.88372 92.30056 99.27007 97.97794 98.67725 96.53380 94.31818 91.71779 87.04082 83.46856 82.31707 80.51392 79.55508 80.31579 81.16090 82.42424 80.60000 79.22794 78.20976 77.34807 73.57143 71.13043 69.64286 66.36364 64.61187 61.91176 59.60699 58.82353 57.00000 56.24187 53.65385 52.63819 50.73529 49.09639 48.03337 48.21429 46.32107 45.70011 43.66603 42.87072 41.70444 40.27903 38.03763 37.07815 35.39823 34.39153 34.19666 33.55091 33.67752 33.91204 34.00447 32.90746 32.84281 32.75510 31.72906 67.07175 66.31666 65.92371 65.55728 65.32036 64.94835 65.64046 66.45242 65.97906 62.91233 60.32364 58.04792 55.85667 53.98148 52.52759 51.13756 50.33318 50.32213 50.40767 51.73699 53.69409 55.45455 56.85949 58.25328 59.32438 59.75226 60.13245 60.74602 61.37649 62.54392 62.92818 63.85845 63.94910 63.16440 62.47563 60.55480 58.20445 55.55339 52.19544 49.34924 46.58947 43.91972 41.97831 35.90092 30.74939 25.62807 20.28073 16.23925 14.17030 13.05080 12.29350 12.84854 13.22146 13.66607 14.26998 14.92121 15.59935 16.58503 17.73219 19.74681 21.56476 24.06639 26.53472 29.95519 31.72403 33.35234 35.97674 39.37997 44.56000 50.39947 58.43243 69.42078 78.07339 89.03346 98.09160 102.44141 105.86011 105.07380 103.36226 101.06383 95.09395 89.66942 85.65574 83.58696 83.55263 83.95604 84.71338 85.98726 85.20408 84.90385 82.58427 78.92250 77.12177 73.82671 70.15707 68.17406 66.22257 63.22188 61.79525 60.72961 58.95833 57.48988 56.40854 53.47938 52.91451 52.10459 50.75000 48.69707 47.90548 45.87156 45.17588 43.02671 40.80252 39.29527 37.10526 36.25856 35.35654 34.68137 33.57664 32.55814 32.77910 33.16446 32.95195 33.16116 32.85138 31.73302 30.46553 66.13561 65.60715 65.22529 64.62729 63.92205 63.34925 63.88336 64.75590 64.61864 62.61976 60.95030 58.81522 56.56660 54.36508 53.00765 51.60092 50.77555 50.99348 51.28849 52.18545 53.49329 54.72632 55.23382 55.84248 56.31643 56.62996 57.09980 58.17752 59.39991 60.68282 61.34910 62.59610 63.18579 62.48726 61.77927 60.08403 57.26767 54.82295 51.07228 47.84861 45.04469 42.32558 40.18952 34.82927 29.92895 25.51183 20.16815 16.31668 14.65127 14.03821 13.50858 13.72622 14.15718 14.50993 15.16887 15.89636 16.53307 17.01872 17.92550 19.59459 21.33635 23.70855 26.93405 30.92574 32.65799 34.23605 35.75000 38.01435 40.22829 44.95383 51.27226 60.28481 67.47382 77.06767 87.93970 100.31447 110.82803 112.55187 112.88344 109.70588 101.01833 97.30539 93.49112 90.34483 86.29032 87.93911 89.95485 90.56818 89.10256 89.15789 86.19632 80.42169 77.03488 73.81853 71.05769 66.75978 65.27778 62.66968 63.09172 60.72993 58.76068 57.70833 58.43373 56.65796 54.80998 54.55076 51.87287 50.93071 50.30644 46.86879 45.43611 42.58160 40.90485 38.78760 36.85152 35.57692 34.08717 33.09091 31.97309 31.95837 31.37852 31.25000 31.18040 31.99595 31.51093 30.15332 29.20204 64.81003 64.51124 64.53287 63.95097 62.64808 61.42953 61.75854 62.27113 62.59333 61.81178 61.17117 59.46197 56.90868 54.33979 52.90669 51.71640 50.98511 51.24743 51.74586 52.40633 53.09393 53.73988 53.48308 53.10115 52.78708 53.03446 53.47893 54.49904 55.93461 57.42420 58.16745 59.08529 59.43396 59.14376 58.77835 56.67539 54.47581 51.65509 48.50538 45.21531 41.99766 39.14744 36.85675 31.60467 26.84022 22.69055 18.09901 14.77074 13.49016 13.20434 13.01807 13.44749 13.88096 14.47368 15.06989 15.95142 16.56840 17.30478 18.27458 19.80843 21.74447 24.53407 28.23770 32.72011 35.46592 37.29057 39.92366 41.13264 43.23607 45.34816 49.02948 53.78788 60.34483 67.51269 77.04918 90.25845 103.87097 109.86985 110.57692 115.36842 108.53659 101.99580 97.74127 95.03632 92.96117 92.96296 92.70588 92.09906 91.85268 89.37093 85.62500 83.09278 77.46063 74.28571 70.19231 68.50467 66.14665 63.76147 62.12575 62.01780 59.13043 59.00000 58.42466 56.84564 56.24235 55.58223 54.22040 51.90880 50.00000 47.73414 45.86313 43.28358 40.13889 37.61221 36.38767 33.70982 32.22506 31.71378 30.97307 30.04292 30.41401 29.99211 30.46512 29.96350 29.93562 28.25843 26.96721 63.74376 63.31794 62.98946 62.18200 60.96866 59.53258 59.76911 60.41581 60.85488 60.78414 60.54014 58.97715 55.91295 52.95525 51.40903 50.11809 49.14219 49.66153 50.26508 51.02067 51.57962 52.49417 51.57852 50.70526 49.59434 49.26248 48.64496 49.27852 50.22200 51.76991 52.50597 53.05355 53.23953 52.95775 52.19218 50.94655 49.54683 48.00228 44.41833 41.23149 37.96791 35.09897 32.13781 27.08200 22.58858 18.53116 15.03650 12.04582 11.14345 11.20114 11.20168 11.95848 12.69943 13.53716 14.31779 15.27441 16.18693 17.27447 18.69017 20.47047 22.85981 26.14488 30.89467 36.43695 40.45251 43.93939 47.00787 46.98189 46.96093 47.25111 48.57939 49.08537 53.62989 60.89023 70.52632 78.25704 90.32587 99.24893 110.45918 116.75192 113.57341 110.56150 104.01554 102.51889 98.24121 97.22922 96.70886 91.89526 93.35664 90.63205 88.06941 82.85124 80.35714 75.23629 71.90388 70.12522 66.20295 64.16000 63.14554 60.94891 60.31519 59.36170 57.63052 56.90789 54.60688 54.35835 52.85036 51.50502 50.65574 47.73869 45.61831 42.79661 40.47161 37.73234 34.90566 32.77202 31.58340 30.35714 29.80769 28.96040 28.24519 28.21483 29.03587 29.25194 28.51268 26.60477 25.08861 62.35716 61.78153 61.22137 60.59438 58.81073 57.62174 57.77377 58.49785 59.10370 59.54723 59.79835 58.36585 55.01688 51.81309 49.86856 48.31247 46.91288 47.32439 47.68545 48.19330 49.05569 49.86649 48.76130 47.24416 45.79199 44.80287 43.37427 43.51615 44.76701 45.63578 46.76228 47.80674 48.29773 47.90323 47.43304 46.21896 45.00000 43.61090 40.16027 36.96133 33.39286 30.10432 26.87389 21.09278 16.24685 12.77290 10.39687 8.33766 7.74503 8.00109 8.03922 8.77378 9.48948 10.42463 11.27977 12.35849 13.43013 14.98850 16.56789 19.25484 22.65557 26.90616 32.34323 39.00941 44.64286 50.00000 55.09491 59.15254 60.86486 61.36364 61.85682 63.02326 66.01050 70.66590 76.32979 83.10940 92.28188 100.36232 108.72818 115.16710 112.99094 116.66667 109.07821 105.52486 102.04918 98.51752 99.73684 95.11568 94.64286 91.91686 88.49558 85.20085 81.03448 77.37864 75.38023 70.03610 67.88079 65.38462 63.91509 62.51830 60.48502 57.78689 55.98404 55.77689 54.50000 52.40444 50.54152 50.17026 48.66667 46.32653 45.84158 43.01994 39.58534 37.46518 34.28064 32.07627 30.91133 29.25926 28.07229 27.70270 27.84223 27.63761 27.64831 27.61971 27.45957 25.59055 24.30168 61.21383 60.51457 60.07722 59.51901 58.17579 56.93746 57.00902 57.26123 57.61166 58.43291 58.76392 57.79523 54.13913 50.78784 48.40956 46.29269 44.33706 44.03591 43.88298 44.10821 44.94273 45.80699 44.57398 42.99239 41.40035 39.98491 38.38364 38.26638 38.90411 39.71327 41.17900 43.00399 44.14634 43.37916 42.70483 41.57557 40.27460 38.80682 35.87395 32.99136 29.37111 25.46132 21.95935 15.88798 11.23224 8.10255 6.86663 5.58620 5.13793 5.28484 5.28677 5.83538 6.17728 6.77684 8.02890 9.23029 10.65684 12.22688 14.48551 17.88266 22.12581 27.22892 33.89626 41.58438 49.10891 56.62291 66.16883 75.00000 82.54086 85.63050 82.53521 80.98720 81.85841 81.51261 82.17105 87.92453 94.40789 101.32530 107.01531 110.47745 110.47619 112.46057 111.95652 106.74487 102.13675 99.30362 98.47328 96.50000 94.13876 92.70833 89.33333 86.03896 80.99174 78.64173 75.51985 71.69982 69.39655 67.22130 64.51613 61.87215 59.59821 57.15259 55.47297 55.06757 52.32859 51.16129 49.05183 47.77651 46.32517 45.77685 44.13240 41.76301 39.54155 37.79707 35.00000 32.83133 30.24691 28.50318 26.94981 25.90909 25.90273 25.18222 25.30120 25.87690 25.44031 24.70462 23.75000 60.02425 59.49166 59.11925 58.68622 57.62522 56.58376 56.32022 56.45088 56.67470 56.80140 56.86406 55.81861 52.40586 49.29471 46.59603 44.20152 41.63604 40.75980 39.80170 39.50205 40.01733 40.90173 40.44954 39.80155 38.89181 37.84753 36.50939 36.20029 36.84899 37.51864 38.16294 39.15556 39.49287 38.06366 36.55316 36.03908 36.08892 35.74423 33.02617 30.38133 26.34462 21.21212 17.48252 12.51583 9.02871 7.52000 8.46717 9.29067 9.71259 9.75253 9.74026 9.63183 9.30152 9.40997 9.96481 10.71934 12.09964 14.30217 16.58663 19.54815 23.00916 27.68692 33.53777 40.47449 48.02079 57.64120 68.35206 79.33105 90.41591 94.31193 96.25000 96.49266 94.50000 91.12520 92.89298 96.20253 101.74825 104.44444 110.60606 111.09661 115.47988 113.76147 109.19881 104.38596 100.85470 99.15254 95.66832 94.63415 93.36493 89.54545 87.25275 86.20690 81.96721 77.83203 74.56647 72.26345 67.64706 65.20619 62.83557 59.78756 58.70536 55.51020 53.44130 52.41935 50.00000 49.22179 47.89272 46.69374 44.37500 43.00106 41.98356 40.12770 39.18129 37.22222 34.10781 31.95392 29.77254 27.15618 25.50562 24.85294 23.96871 23.30063 23.96373 24.03846 23.82739 23.71625 23.29082 59.30894 58.84236 58.87457 58.49057 57.60122 57.00200 56.58055 56.22038 56.05397 55.13856 53.89049 52.43402 49.93584 47.59507 44.84127 41.82841 38.81406 37.36764 35.76096 34.74212 34.84071 35.18621 35.71831 36.57524 37.16838 36.20845 35.46512 35.35912 35.98616 36.16629 36.22636 36.06627 35.09572 32.99712 30.50962 30.32100 30.52015 30.74502 28.71215 26.77386 22.97513 17.72991 13.83212 9.97813 7.79468 7.14684 9.82579 12.35142 13.72442 14.37964 15.22644 15.00000 14.40281 14.19009 14.03215 13.94313 14.81917 16.48316 18.63075 21.60749 24.80411 29.11081 34.86192 41.61631 49.67935 60.25180 73.15716 82.83133 98.06818 105.09479 105.31453 108.96328 104.54545 98.56322 97.59615 102.23529 106.39098 110.70496 113.72032 112.73458 111.87500 111.38462 109.18675 104.05405 100.87719 98.56734 94.84925 94.55446 91.16945 90.62500 88.00000 84.59052 82.67635 76.12524 74.32432 71.11111 68.10811 65.00000 61.82886 59.43548 56.59341 54.52586 52.56046 51.06232 49.40867 48.03150 46.29213 44.33962 42.78689 41.77419 39.52033 38.34661 36.37695 35.92007 32.68156 30.51439 28.07882 26.31579 24.02549 22.87701 22.42105 22.29167 22.84398 22.64706 23.16602 23.40745 23.75658 58.44898 58.51264 58.24045 58.25652 57.47676 56.65062 56.17560 55.66038 55.09795 53.87011 52.81309 51.56434 48.53048 45.52902 42.75362 39.78651 36.73303 34.77748 32.90043 31.57193 31.16572 30.45119 31.68957 33.51039 35.42010 36.68906 37.90547 38.71807 39.23505 39.75291 38.45803 36.65973 33.79257 30.19690 26.37874 24.19959 23.01018 22.50580 21.48204 20.62112 18.18008 13.69353 10.45332 8.25460 7.12751 7.34750 11.97942 15.75628 18.36711 20.76364 23.78188 23.64988 23.05940 22.32506 20.84775 19.28951 19.08280 19.39269 19.87888 23.43444 28.05944 33.98357 40.88398 48.83966 57.56501 66.80328 77.24138 85.41384 94.46108 100.23923 102.13220 102.50000 100.75188 94.94485 97.01493 98.96552 105.74572 110.45340 116.84783 122.51381 118.49711 116.01671 110.81081 105.61798 98.37398 95.60000 93.82872 91.85185 89.39759 86.89095 86.08018 82.51073 80.61856 76.79671 72.13592 70.01880 65.22556 63.09091 60.35398 56.83962 55.31587 52.86494 51.62382 49.79730 47.29892 45.49279 43.89952 42.73649 40.54204 38.49840 36.91589 35.92814 34.13320 33.87850 31.35514 29.11227 27.93755 24.84544 22.81731 21.91535 21.25257 21.33693 21.57996 21.93487 22.93520 22.90670 23.76325 57.81991 57.77908 57.73017 57.40794 56.65357 56.00331 55.23256 54.31057 53.47312 53.32290 52.80686 51.87071 47.85216 43.96790 40.67145 37.87830 34.93878 32.80094 30.68218 28.80516 27.69999 26.53013 27.74955 30.18598 33.15946 36.06456 39.10448 41.22785 41.79585 42.44604 40.30192 37.13543 33.68712 29.14720 24.46532 21.47796 19.71831 17.65258 17.29880 17.02497 15.22237 12.09239 9.30705 8.04731 7.24983 7.65926 12.99965 17.11563 20.07334 23.01841 26.65563 26.33333 25.50740 24.44580 22.58996 20.33092 19.12544 18.79943 18.53066 22.17132 28.04248 35.38136 43.44850 53.83424 62.99827 72.33805 82.60331 90.00000 98.25674 101.00000 100.78475 100.00000 95.78652 92.69871 92.17822 97.52475 100.77519 107.84574 117.71429 122.19020 121.62162 117.47851 113.22314 111.03152 101.51099 97.98387 90.12500 89.80344 89.03614 84.64203 84.00000 83.29741 78.35366 76.02041 71.47002 70.46729 64.63415 60.81081 58.69947 55.86854 53.44564 51.83673 50.00000 47.99197 46.76647 43.40855 41.70588 39.88950 37.93478 36.67024 33.19502 32.90000 31.72515 30.64067 29.79982 28.69974 26.49880 24.80190 23.52281 21.84751 21.33142 20.78059 21.00334 21.30000 22.24801 22.47259 23.00121 57.54425 57.38115 57.17033 56.70914 55.91054 54.81346 54.03123 52.62500 51.35697 50.82968 50.48314 50.00000 46.76632 43.83522 40.75421 36.94595 33.07146 30.93631 29.16536 27.35390 26.23608 24.78145 25.16850 26.86308 28.42442 32.13188 35.99089 39.34426 41.45009 43.52518 41.53439 38.75834 35.16484 29.67018 24.90287 21.77778 19.48261 16.93912 16.40432 15.90601 14.73323 12.38004 10.38415 9.16502 8.26489 8.49057 13.47276 17.42402 20.22553 23.02502 26.22768 25.66165 24.83718 23.57938 21.25294 18.69835 17.30955 16.40178 15.51861 19.33135 25.67724 34.35948 43.35994 56.88569 65.63765 76.80683 87.77452 95.29703 102.31317 103.29670 102.33333 101.23596 94.60227 89.73881 90.15296 91.74877 98.03150 105.02717 111.55844 117.89474 123.03207 124.16667 120.82228 114.81994 107.63158 102.28365 95.48611 93.00226 88.27586 84.66667 84.29487 81.88720 78.82231 75.96741 74.07045 68.71508 66.11785 61.44279 59.19355 55.29141 52.46637 50.60241 48.99733 47.80000 45.49437 42.21261 41.49660 39.15462 37.89531 35.78947 33.52156 31.32411 30.61224 30.05618 29.79982 28.38765 27.19228 26.32231 24.07407 23.20237 22.16274 21.87500 22.01195 22.25148 22.21859 22.85945 23.35884 57.30464 57.05882 56.64084 55.89359 54.85554 53.68820 52.42183 50.67788 48.85777 48.17287 47.81650 47.56148 45.52846 43.58924 40.75501 36.07244 31.11006 28.99206 27.51511 25.99904 24.75487 23.35845 23.24390 24.12224 25.15081 28.62893 32.41875 36.37874 39.01185 41.97103 41.14441 39.24474 36.86263 31.80985 27.45562 24.30253 21.19970 18.59251 17.94808 17.47292 16.77552 15.04142 13.50977 11.85693 10.84128 10.30431 13.74421 16.49269 18.69632 20.68291 22.77000 21.97612 20.70665 19.41385 18.09000 16.00627 15.09091 14.78084 14.30396 18.37349 25.30729 34.13872 44.12208 58.89101 69.18033 82.39130 93.80098 101.34855 107.53880 107.56208 105.29954 101.14416 96.83908 89.57565 87.50000 89.56835 91.35338 95.54974 102.96392 111.76471 121.55963 126.55786 125.63739 119.76744 117.17033 108.25243 103.49650 98.86105 94.40559 90.60403 86.05150 83.55263 78.93082 75.72314 74.60000 70.61069 64.97373 62.37374 59.32897 55.56414 53.19635 51.02740 47.74898 46.92202 43.24324 42.46134 39.78060 38.47458 36.03505 34.76190 32.21649 31.30653 30.36963 29.13043 29.69495 29.21604 28.40617 27.31591 25.81361 24.86486 24.68819 23.97743 24.48177 24.31579 24.84144 24.84246 25.30622 57.21193 57.01382 56.32530 55.77967 54.56274 53.19703 51.70702 49.71598 47.98704 46.99599 46.41346 46.21518 44.19355 42.42212 39.40092 34.20932 28.92261 26.86059 25.61226 24.24168 23.53200 22.68533 22.56905 22.95409 23.32854 25.93391 28.93796 31.96457 34.82472 37.78745 38.99165 38.94542 38.76404 34.52987 31.02345 27.50475 23.70792 20.53495 20.14107 19.77127 19.25227 18.21875 17.07433 15.76235 14.47230 13.58983 14.31497 14.90131 15.45842 15.86502 16.07038 15.09815 14.16509 13.44946 13.19092 12.97688 13.03412 13.32993 14.11790 18.10865 24.86877 33.98637 44.40639 60.91445 73.07692 87.55796 100.44014 108.52018 112.85714 113.15789 111.12335 106.41026 99.65986 93.08855 88.69936 87.26514 86.69528 90.09217 92.00000 99.57265 110.92437 122.64957 127.47253 126.41509 129.79540 124.02597 117.51825 109.86239 101.59453 95.42484 89.14405 85.31317 81.76101 76.45228 71.76938 68.25095 66.06218 61.57635 58.77061 55.24781 51.93687 48.00000 45.58824 42.97189 41.61248 40.57592 38.49010 36.39661 34.92908 32.89624 31.47942 29.72973 29.39980 28.40237 27.82725 27.69231 27.17657 27.40768 26.33745 27.19044 27.54121 28.28947 29.30380 29.81203 29.87943 29.62675 29.43803 57.23330 56.82181 56.09916 55.31145 53.87440 52.22607 50.65217 48.83255 47.26770 46.12472 45.90094 45.66776 43.66117 42.13037 39.48111 34.38834 29.44500 27.23426 26.15262 25.08834 24.57494 24.02985 23.78766 24.00627 24.09597 25.64617 27.28985 29.60759 32.72298 36.11449 37.64916 38.84100 39.08343 35.67881 32.64772 29.43031 25.31563 22.12337 20.90732 19.64655 18.57508 17.99942 17.40211 16.88836 16.38138 16.01654 16.03635 16.09855 15.69795 14.66027 13.51571 12.78019 11.92500 11.50201 11.96487 12.70270 13.34135 14.51311 15.82720 20.18943 26.86794 36.55054 47.00499 66.44295 77.41514 91.16162 106.42994 112.52847 115.40284 116.66667 113.82979 112.53298 105.93220 100.26596 99.87013 93.23308 91.14713 89.94778 91.81586 91.71123 101.08108 105.41667 112.67409 122.10797 125.37129 125.00000 122.04433 119.06977 113.25301 103.57143 95.63830 90.30837 83.40336 78.06653 74.00000 67.04545 65.46392 61.82266 56.90184 54.04192 49.15374 46.45204 42.55875 39.17323 38.00761 35.57692 34.42522 32.94621 31.83453 29.37063 29.47548 27.66272 26.76715 25.95766 26.19926 25.02226 25.49957 26.84964 26.76380 29.66311 32.16535 34.15730 35.68905 37.52535 36.83729 36.56442 35.80324 56.56376 55.79365 54.85007 53.57968 52.33668 50.69904 49.10330 47.71823 46.52921 45.80212 46.20253 46.36584 44.80640 43.69043 41.37399 36.46288 32.07216 29.88169 28.71329 27.41062 26.88073 26.17227 25.92006 25.81605 25.85728 26.24346 27.12857 28.21929 31.44457 35.06062 37.26208 38.35616 39.09968 36.34703 34.24893 30.99709 27.10875 24.02814 21.35297 18.87466 16.91974 16.83555 16.82219 17.23340 18.00762 18.72052 18.19430 17.63142 16.03282 13.61621 11.35742 10.59627 10.07383 9.85755 11.16284 12.39151 13.45632 15.17101 17.51923 21.86882 29.28356 38.40909 50.12723 68.04907 80.33012 94.91979 106.55242 112.35154 117.87500 117.25441 117.18310 116.99438 112.87425 110.76487 105.64516 97.36842 94.30993 91.21287 86.53396 88.79310 88.61386 94.16446 100.68120 113.44648 122.26562 125.62674 130.76923 129.10448 122.54408 114.83645 105.26316 94.46903 87.42138 79.12621 72.82004 67.25664 64.15563 60.93502 56.35401 51.74419 47.03390 43.53147 39.74943 36.17747 32.54608 29.93080 28.47222 27.07118 26.61663 25.73754 24.60159 23.73930 23.04147 22.21223 21.87500 20.81507 21.77562 23.11321 24.70309 29.71576 33.80829 39.14141 43.86020 48.45173 48.18731 47.77448 46.55300 56.01604 55.01580 53.81422 52.68336 51.01199 49.70739 48.43861 47.63231 46.52746 46.33502 46.66037 47.16981 46.31443 44.98369 43.31949 39.23211 35.44408 33.37002 32.29867 31.42777 30.42966 29.46730 28.82060 28.60054 28.24612 28.83043 29.55013 30.41976 32.90559 35.67586 37.34425 38.36735 39.34453 35.01371 31.26877 27.17847 22.28739 18.35580 15.32381 12.76855 10.85609 10.91640 11.04668 11.87100 12.79845 14.03611 13.95491 13.88558 13.17315 11.61685 10.61262 10.15718 9.65116 9.62428 10.80541 11.97252 13.36254 16.10772 19.14078 23.42135 30.29035 39.32692 50.00000 68.55670 81.59292 95.93148 108.88889 113.47709 116.01671 121.16477 123.49570 120.98592 125.69659 125.00000 118.90756 114.93151 108.61183 103.51759 96.74888 92.09354 90.84967 87.16518 92.80660 98.52941 105.91260 115.60000 122.45431 125.94458 121.24105 117.81737 107.64463 101.73611 93.83117 84.92723 76.57480 72.14953 66.55348 59.82428 56.31579 52.15827 48.13278 43.73508 39.52381 35.49896 31.13402 26.70051 24.13265 21.93252 21.09533 20.13514 19.36340 18.88702 18.12652 17.40176 17.05835 15.40323 16.70951 18.45286 22.06009 28.20896 35.30351 45.61688 55.97510 64.16938 64.80750 64.73088 60.66545 55.91412 54.62766 53.49568 51.93050 50.94697 49.85203 48.84365 48.05379 47.36721 47.30881 47.91622 48.31770 47.52763 46.65855 45.47352 41.96463 38.90040 37.19534 36.39595 35.64510 34.15066 32.40627 31.27778 30.93945 30.39039 30.75282 31.61157 32.54727 34.27288 36.55748 37.91878 38.06818 38.42773 33.71985 28.50076 23.47755 18.08075 13.77569 11.10930 9.25239 7.99595 8.79313 9.49630 10.33459 11.32735 12.30687 12.06503 11.92110 11.37561 10.60772 10.37962 10.20891 10.07109 10.20531 10.89723 12.02195 13.89328 16.91336 20.87195 25.18620 31.36008 39.75791 48.94578 65.06276 76.14213 90.96639 105.45906 109.75610 116.61891 120.84548 125.44118 128.29912 134.03909 136.19048 135.97561 131.21302 126.24309 117.01299 107.58929 100.74946 95.79918 90.74074 90.58442 91.97248 96.06880 104.58115 113.47709 119.07895 119.28934 120.52506 112.82895 105.79710 98.98649 90.14989 81.07570 74.53008 66.69477 61.72249 56.42541 53.38505 49.19893 44.58239 41.02564 34.88471 30.35420 25.72115 21.91097 18.76430 16.84211 16.13971 15.20173 14.17598 13.30000 12.57406 11.50442 10.80022 11.87595 13.04348 16.16651 24.86034 35.39387 49.12689 63.74710 76.57343 78.83895 79.89510 73.47267 55.58065 54.43833 53.48297 52.28426 51.38232 50.18248 49.21522 48.60238 47.98130 47.80439 48.10207 48.70221 47.81431 46.64490 45.39304 42.58952 39.73234 38.18182 37.47760 36.87385 35.97672 35.21067 34.52962 33.91537 33.13353 33.34786 34.00946 34.85625 36.39789 37.85856 38.37930 37.64368 37.17617 31.94074 27.46845 22.67845 17.87153 14.12010 12.64070 11.85598 11.63134 13.01691 14.48771 15.25336 15.21064 15.34976 14.19369 13.03274 11.93687 11.53499 11.06102 11.19864 11.52383 11.86012 12.27258 12.73157 14.80412 18.36848 23.00771 26.98135 31.95592 38.63510 45.03012 56.35762 65.72581 77.03985 89.74654 101.21951 108.42105 116.21253 125.00000 130.70175 135.57994 142.52336 144.31138 144.42623 146.05678 137.46479 127.53247 121.83623 113.30935 104.70588 98.67788 95.52941 92.64706 95.50129 99.32615 104.35967 108.78378 110.31332 109.12409 109.25926 102.26244 93.24056 85.31022 79.13118 71.71717 65.59055 60.53009 54.81928 49.81108 44.92415 41.61184 36.50307 31.06936 25.79942 21.69288 17.46667 15.51282 14.05579 12.37184 11.78552 10.93991 10.35714 10.07382 9.42513 10.05587 10.51487 13.34783 20.21371 32.29167 48.61660 67.63456 86.71642 91.98113 95.88745 83.89513 55.27719 54.33754 53.68693 52.86478 51.87172 50.84290 49.39170 48.73773 48.07648 47.85858 48.21883 48.72650 47.89254 46.29474 44.77765 42.30395 39.69039 38.08744 37.51067 36.90806 36.75832 36.95212 36.63071 36.01956 35.45483 35.68396 36.23721 37.05724 37.95014 39.03054 38.88055 37.49676 35.68975 30.99860 26.88079 23.03950 19.33857 16.60967 16.17497 16.21173 16.47442 17.63681 18.87487 19.28946 18.94575 18.51406 17.09140 15.52288 14.08101 13.27280 12.50714 13.41890 14.66839 15.61393 16.63077 17.51732 19.54218 22.86374 27.01175 29.81561 33.35535 37.28557 41.42857 47.16088 53.03413 62.48109 73.44633 84.75992 94.85646 106.10390 115.30899 126.09329 133.59873 141.61392 146.89441 153.64583 151.98020 147.38462 142.65928 134.93506 128.37500 115.75829 108.35322 98.31081 93.30254 90.74519 89.77273 90.20619 95.11873 99.20000 103.08989 104.15584 103.51942 97.25159 89.59538 81.21693 74.74227 67.61905 63.79310 57.82086 52.05224 47.25086 42.11373 36.44315 31.45307 25.97998 20.85714 16.73062 15.01080 12.60997 11.26374 10.64460 9.96424 9.76322 9.66157 9.89426 9.62180 9.88830 11.63070 16.80556 25.06297 38.75433 57.62363 77.72727 89.00000 96.31728 81.84932 54.67252 53.85928 53.33161 52.66362 51.90441 51.20997 50.00000 48.94416 47.92865 46.99865 46.64300 46.52749 45.26971 43.24911 41.69335 37.80488 33.90292 31.01457 29.62255 28.06198 28.62506 29.74625 31.07424 33.05268 34.86417 36.57895 38.22938 39.39831 40.17746 40.72612 39.74461 37.20008 34.81511 30.61783 27.28065 24.40687 22.10031 20.42540 20.70488 21.41631 22.04905 22.71844 23.21177 23.16446 22.55271 21.75352 20.48124 18.58413 16.96478 15.75783 14.68092 16.12594 18.11120 20.20936 21.77643 24.37415 26.49073 28.59544 31.73034 32.95455 34.68022 36.32686 37.68831 39.43042 44.00000 50.40909 58.74286 67.36111 78.86792 90.70513 103.08219 113.29268 121.57143 129.56522 134.13598 145.89443 153.55114 153.25779 150.26525 147.34848 137.59124 127.43056 117.19457 105.49327 93.75000 90.84507 83.73206 82.35294 81.51899 82.72727 87.39837 93.83378 94.88491 92.85714 92.29209 86.73469 79.64339 73.77049 66.56770 60.91510 54.87805 50.46632 44.96644 38.74657 32.88926 27.25592 22.57869 18.16955 15.28384 12.82506 10.98901 10.48983 9.74314 9.56325 9.65594 9.52288 9.93698 10.48110 12.52617 15.81673 21.78378 31.68269 46.57040 64.00862 79.57413 89.45087 75.81006 53.81457 53.40909 52.80985 52.26700 51.97026 51.20614 50.35963 49.04751 47.57506 46.30174 45.06428 44.09474 42.49840 39.99794 37.93925 32.92079 28.02861 24.00139 22.02175 20.02540 20.76964 22.65625 24.87469 28.42313 32.18830 34.85690 36.85457 38.90094 39.52608 40.04255 39.21569 36.80772 34.80240 31.19743 28.24164 25.75111 24.11240 22.71783 22.67501 23.12901 23.56355 23.40595 23.31117 22.76255 21.85767 20.72027 19.59726 18.60705 17.59428 16.90840 16.28350 17.80081 19.91010 22.25776 24.56861 27.56872 30.13514 32.29775 35.00750 35.32058 35.47278 35.51540 35.92417 36.86462 38.80466 41.94270 46.21711 51.74419 60.49563 68.27411 76.95100 85.97561 92.48927 103.74150 112.52927 124.15350 133.14480 139.84962 141.72662 143.17010 133.37469 128.94737 116.78082 104.54545 94.51613 87.33333 79.07489 74.77679 72.81106 69.67213 74.75000 77.27273 82.08955 82.73942 83.75000 81.97674 77.84711 74.78261 67.69134 62.52900 58.19936 52.74489 47.92695 40.68493 35.94132 29.48454 23.89569 19.71351 16.13873 13.43810 11.70117 10.54880 9.45122 9.29987 9.36884 9.38380 10.14199 11.59856 12.87915 15.26211 18.71245 24.61351 34.60733 49.25743 61.21701 75.44248 65.65657 53.69830 53.41355 53.05491 52.28195 51.60928 50.92115 50.03623 48.75622 46.87355 45.21168 43.65322 41.90981 39.65095 36.26781 33.20561 28.50082 23.57241 19.89117 18.11677 16.33668 17.00370 18.61462 20.65270 23.57999 26.49295 29.26591 31.34212 33.62309 35.40993 36.92621 37.36581 36.25982 35.33734 32.17987 29.44211 27.52708 25.87336 24.58115 24.16050 24.03487 23.77192 22.92256 21.93629 20.74603 19.55530 18.12850 17.85714 17.60764 17.65267 17.96049 18.16336 19.58637 21.60766 24.12101 26.81937 30.58350 33.12065 35.46778 38.46723 36.90793 35.59938 35.03876 35.22547 35.48193 36.29545 37.34694 39.47798 42.50646 47.71987 53.06122 57.76224 65.82792 71.01576 78.73563 87.80488 98.78049 106.60377 117.46411 125.70755 128.29099 127.16535 125.56962 115.57971 103.62319 94.19954 85.50107 75.51230 69.85743 65.29412 60.90373 60.00000 61.00386 62.18569 66.59574 66.91023 69.27245 67.71137 67.56198 64.04342 64.19437 59.24419 55.71594 51.40479 45.51346 40.02558 32.12851 25.49827 21.26068 17.96161 15.14489 12.95515 11.43231 9.45823 9.07272 8.79567 9.27914 10.31808 11.86673 13.93222 16.33416 19.93802 25.04892 33.49815 42.23022 53.85779 65.30612 61.68109 53.73906 53.39264 53.03752 52.29142 51.43271 50.42638 49.49693 47.99125 46.12207 44.57455 42.40695 40.74382 37.97281 34.01001 30.46097 26.32646 22.11445 18.96480 17.71883 16.45046 16.88983 18.48498 20.34884 22.48021 25.00951 27.44111 29.27586 31.13858 33.20862 35.31407 36.91445 37.48313 37.88189 35.10071 32.44576 30.40416 28.24236 26.66865 25.25927 24.00436 22.81404 21.61246 20.26144 18.86518 17.66956 16.50601 16.90572 17.57362 18.29718 19.31355 20.31791 21.94987 23.82261 25.98771 28.65478 32.10037 34.89254 37.08316 39.81214 38.52327 37.48056 36.67169 35.75615 35.05096 36.35514 38.29480 40.52369 42.41040 45.56962 48.11229 51.73160 55.44554 60.64356 65.27778 71.42857 80.24194 89.75501 96.56489 104.04700 107.18016 106.95187 106.58915 99.87593 92.85714 85.93023 78.29545 71.56863 67.70386 64.38356 60.11236 59.81595 56.33803 57.45527 57.58755 58.30153 56.59526 56.34490 57.52972 57.68194 57.59740 55.39568 53.40095 50.00000 45.45455 40.83130 32.21884 25.83047 21.30515 18.71829 15.94360 14.13512 12.36603 9.89787 9.46930 8.75931 8.96980 10.51560 12.62032 14.98452 17.85714 21.19205 25.30675 30.59045 37.97376 45.86357 54.73186 59.20873 53.21101 52.94918 52.28631 51.54457 51.04408 49.74432 48.74687 47.18979 45.76182 44.22633 42.32709 40.73658 37.94977 33.62564 29.76227 26.30307 22.91884 20.20975 19.56367 18.85057 19.23801 20.60406 22.17036 23.78223 25.57909 27.36573 28.61983 29.98146 31.97514 34.08019 36.31325 38.94700 40.77869 38.50840 35.82382 33.78125 31.15888 28.81069 26.49001 23.97244 21.56739 20.19200 18.67536 17.45142 16.59028 15.63972 16.52845 17.76843 18.84844 20.32647 22.09376 23.87701 26.02862 28.48123 31.22827 33.81389 36.42996 39.20455 42.10526 40.94602 40.43454 38.96940 37.69745 36.18533 37.55339 40.28926 42.55157 44.12508 45.51749 47.53086 48.91566 51.84175 53.71389 58.21596 62.25577 69.22383 76.39752 79.56204 84.73282 83.37596 87.20000 85.63969 81.06061 74.44444 73.91304 69.90521 68.15068 67.44966 63.31776 61.82432 57.66208 56.57143 54.97238 51.23457 48.61842 47.59036 45.62257 46.40805 46.88222 47.77651 47.89871 48.08806 45.87576 41.93548 39.14073 31.25919 24.79916 21.14731 18.73740 16.67438 15.08897 13.42629 11.34511 10.98563 11.02412 10.85595 12.75537 15.97938 18.42105 21.40363 24.84177 27.44989 32.03026 37.65690 42.77778 48.80795 56.71937 52.75229 52.22525 51.38847 50.66118 50.26042 48.85334 47.46958 46.08450 44.52555 43.13527 41.85694 40.87012 38.68369 34.34129 30.72974 27.32464 23.79025 20.86017 19.93492 18.81249 18.97316 20.03772 21.54623 23.87170 26.46015 28.58372 30.28384 32.27120 34.40573 36.14510 38.57102 41.37120 43.73041 42.32558 39.89179 37.56545 33.08923 29.61215 26.16560 22.73823 20.01594 19.72621 19.44769 19.26521 18.89543 18.53535 18.69159 18.85046 19.29743 20.65291 22.32974 24.16667 26.35367 29.30825 31.92964 35.16350 38.57015 40.57632 43.53741 45.35565 45.66695 46.70608 45.91837 45.93596 46.66667 48.77451 50.92186 51.95896 54.65839 55.76923 57.18789 58.55355 59.52733 63.79599 64.83209 66.82510 74.39560 76.47059 78.75648 76.70157 76.30890 72.30769 69.12500 68.75000 65.15544 65.30612 62.61062 62.28448 63.38673 59.45652 59.83607 59.35673 56.54545 54.58716 52.56410 50.00000 47.76376 47.14126 45.92902 44.57084 43.02657 41.88073 39.83871 35.75110 33.29298 27.16659 22.93865 20.13147 18.30881 16.62772 15.36484 13.65337 11.87050 11.66239 11.30815 11.68009 14.10935 16.88889 19.92605 22.62357 26.32231 29.32745 31.46651 36.24535 39.25081 44.89437 52.93351 52.38532 51.77112 50.93974 50.26370 49.56835 47.89444 46.10123 44.41341 42.79106 41.34759 41.05848 41.14380 40.16990 35.67384 32.15515 28.60978 24.76939 21.26720 19.99459 18.45654 18.09076 19.08869 20.72227 23.61214 26.65959 30.21794 32.74799 35.14931 36.90187 38.83069 41.08615 43.97097 46.76460 46.07573 44.73167 42.40891 35.88350 31.33169 26.71649 22.54991 19.41088 19.83281 20.33026 20.51699 20.70509 20.94193 20.74110 20.46300 20.65360 21.91235 23.41357 25.68196 28.25258 31.83042 35.06494 38.97059 42.41159 45.58074 48.89571 51.68224 55.02463 56.21212 57.12025 57.52351 57.72532 58.81474 60.64718 60.96774 64.00233 63.19703 64.73397 64.71449 66.35945 67.85714 70.30075 71.67300 73.88535 74.88152 71.32353 72.34848 68.37500 66.08479 62.13235 59.30233 59.25450 57.46606 58.37054 57.48373 59.76744 60.47297 60.51546 58.06142 59.09091 56.09579 55.19308 52.48071 50.93168 47.62376 45.45872 42.82491 39.89770 37.82154 33.87210 29.47977 26.96599 23.43105 20.52452 19.00786 17.81116 16.59272 15.08661 13.71841 11.87396 11.23937 10.60530 10.74254 12.15127 13.75380 17.11580 20.14162 23.83721 27.25410 30.06231 34.03909 37.09677 42.34339 50.00000 52.20251 51.31341 50.53524 49.69388 48.50043 47.11458 45.07463 43.43354 42.03269 40.50680 40.73569 41.23658 40.61619 36.58806 33.10408 29.29608 24.96729 20.93962 19.74813 18.48164 18.33369 19.94949 22.21931 25.52495 29.65986 34.08868 37.24873 40.64563 42.43136 43.41317 44.63744 46.41823 48.60179 48.98900 48.30363 47.18486 40.13786 35.00339 29.43229 24.36235 20.75312 20.86026 21.27492 21.51899 21.91199 22.53521 22.94531 23.17607 23.95420 25.30915 27.18788 29.58549 33.41948 37.70718 41.88627 46.73237 51.35900 55.04862 59.14928 62.66234 66.52324 67.96247 69.40452 71.11345 70.77922 70.55439 70.54348 71.45329 72.29730 73.63281 74.75000 75.26596 76.40449 76.34731 77.03863 75.88496 76.55502 74.15865 72.06983 67.62500 66.01942 61.53846 58.95522 56.66667 53.27670 54.17633 52.75229 52.72109 56.43341 55.56769 54.26136 54.85612 55.47264 55.90551 56.52174 54.38931 53.52526 51.65198 48.51322 46.38365 41.04985 37.20770 32.35816 27.35496 23.87552 21.83377 20.38670 19.29716 17.59742 16.18417 15.00168 13.13612 11.56609 10.99177 10.20914 9.98062 10.68240 11.74271 14.40141 17.95352 21.33385 25.19011 28.14286 31.91176 36.54773 41.49485 47.69504 52.10687 51.21768 50.04430 49.04376 47.61635 46.17729 44.42199 42.87962 41.60946 40.29390 40.55632 41.42408 41.28810 37.30650 34.05585 29.88827 25.08947 20.81111 19.82887 18.67874 18.84441 20.96178 23.71501 27.33024 32.12903 37.33254 41.56047 46.06825 47.51194 48.11737 48.44774 49.49381 50.00000 50.56797 50.61498 50.20740 43.76453 39.37562 33.63022 27.88828 23.83637 23.08090 22.53061 22.36351 22.74061 23.13033 23.73730 24.68365 25.69228 27.49544 29.23478 32.50398 36.54554 41.85046 47.88388 54.85644 61.73913 67.26714 73.60190 77.33779 80.18018 81.58714 83.49340 83.39483 82.08861 80.87698 80.64721 80.51862 80.20979 80.97345 82.64540 82.60870 83.19672 81.34328 80.53691 82.19178 79.57245 76.17925 75.18248 71.16788 66.31944 61.64384 58.82353 54.86111 52.08817 49.00662 48.35886 48.37310 49.35205 49.68553 48.89503 48.94366 50.98847 53.60577 54.44444 55.63472 57.52688 53.90879 50.62500 47.13467 41.10086 36.30017 31.07373 25.88141 21.74308 21.19165 20.69486 19.74871 18.01211 15.85582 14.45807 12.65734 11.19848 10.06783 9.35341 8.81045 9.20826 9.70719 12.65348 15.29370 19.62025 24.22577 29.07332 33.43109 37.81726 42.74194 47.33412 51.82648 50.67325 49.55947 48.26990 47.15861 45.24400 43.79199 42.29560 41.12018 39.98262 39.92797 40.13031 40.01352 36.53761 33.89036 30.13616 25.41396 21.43902 20.60780 19.78406 20.13203 22.69789 25.76036 29.75230 34.62011 40.89878 46.33205 52.16198 54.11827 54.02281 53.73599 52.58014 50.66026 49.88254 50.17395 49.72578 47.15490 44.99089 40.28777 34.23157 29.90348 27.01055 24.63051 23.13987 23.08594 23.24148 23.68580 24.69286 26.04235 27.87986 30.19899 33.95510 39.12116 46.30010 54.65328 65.34447 75.79029 84.19355 94.75524 98.20717 100.20576 100.98315 99.33222 96.95431 93.00518 90.25000 89.17526 88.57143 88.26816 87.35409 87.79528 88.11983 88.42213 87.10359 86.19565 85.31469 83.37321 79.42584 76.02410 72.30216 67.68868 63.47926 58.57143 52.26782 46.52632 44.79592 43.30629 41.30000 40.49904 41.47727 41.53846 41.58416 45.20767 47.98206 50.85227 55.39568 58.40000 55.22648 50.74875 46.94323 39.18558 34.43558 29.66845 25.44740 22.20099 21.58685 21.27986 20.51370 19.25940 17.44981 16.85962 15.51437 14.38953 13.01843 11.77452 11.71407 11.70713 12.14224 14.41648 16.83835 20.34036 24.44089 29.19355 33.59133 38.06452 42.76094 46.09467 51.63835 50.08926 49.07949 47.50716 46.25316 44.84890 43.35570 42.05350 40.53398 39.46975 38.93591 39.31376 39.15914 36.32219 34.08477 30.68473 26.23450 22.32403 21.32376 20.47647 20.88437 23.57955 27.20695 31.21167 36.51442 42.84707 48.32457 54.54382 56.73653 56.59449 56.04759 53.65705 50.91799 49.28258 48.56802 47.65357 47.13083 46.46154 43.05970 37.66145 33.80116 29.16586 25.18469 22.68189 21.53880 20.45760 20.38424 20.79724 21.41678 22.45647 23.71185 26.49606 31.45044 38.40888 46.70455 58.37084 69.47853 82.04614 95.98662 100.25284 103.96104 104.02375 100.99502 99.74874 98.38710 92.35880 90.81633 88.65979 91.00719 90.80675 91.94915 91.77632 90.61834 88.63636 87.00441 83.67347 83.87097 80.68966 79.65517 75.22727 70.41037 66.13924 61.46694 55.38922 49.70874 44.62264 40.84381 38.31858 36.43345 35.40268 36.00311 36.92661 39.31818 41.67883 45.49356 50.22091 54.35685 51.39373 46.65072 43.15436 36.11615 31.23100 27.74579 24.96917 22.46484 22.34273 21.94903 21.75943 20.94654 20.32641 19.71556 18.63636 18.19437 16.81848 15.64371 15.61969 16.15105 17.30372 19.04517 20.03171 22.81349 26.46727 28.78453 33.64780 39.32147 41.54453 43.44170 50.31665 48.49246 47.13127 45.82149 44.51577 43.79452 42.79581 41.80242 40.69469 39.66295 39.22009 39.31225 39.18630 36.92238 35.27935 32.17866 27.55303 23.73950 22.29965 21.05859 20.97781 24.10086 28.22157 32.33227 37.38849 43.89764 48.03922 53.24948 55.74163 56.44837 56.82649 53.44891 50.69668 48.48696 46.59091 44.96026 45.13758 45.24480 43.73796 40.41692 37.87838 31.21508 25.67283 21.81818 19.53391 17.41357 17.07846 17.11706 17.20920 17.25251 17.55935 19.25105 23.23445 29.29553 36.42384 47.13896 60.55195 75.19084 93.45088 98.57955 103.69565 105.86510 103.49265 97.65343 94.72727 92.51337 91.03261 91.13346 89.62264 92.05882 94.27313 92.42081 91.92140 88.15789 85.19737 83.78378 82.16704 80.06682 77.21239 75.81699 71.86858 69.20000 63.52941 56.70391 51.60714 45.48495 39.38907 36.01504 34.28144 31.83161 32.00713 32.81623 33.63636 36.43411 39.14729 41.27907 44.19087 42.08754 39.01602 35.98485 30.79320 26.88454 24.77361 23.46356 22.13488 22.13417 22.12190 22.76570 23.38462 23.98589 23.60845 22.56289 21.96499 20.12907 19.41935 19.40086 20.45802 20.47038 22.08969 22.86184 24.30070 25.81274 28.97196 32.69231 37.51601 40.47323 40.23256