ncols	 127
nrows	  57
xllcorner	-124.81250
yllcorner	45.50000
cellsize	0.06250
NODATA_value	-9999
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17.93160 18.24234 17.43141 15.78620 14.13941 12.97801 11.73238 10.41178 10.54011 10.46512 10.47126 10.51427 10.66571 10.44296 9.73243 9.23445 8.71212 8.19672 7.82828 7.69541 7.24481 7.08391 6.65702 6.29252 6.13208 5.85530 5.86557 5.85963 6.24418 5.99548 5.89536 5.45194 5.58087 7.09700 6.77118 6.93642 7.14286 7.71812 7.81032 8.09483 8.76963 9.71854 10.53095 12.27475 13.53974 13.45842 12.72669 12.15226 11.84120 11.73373 11.61360 11.89290 12.22512 12.23466 12.04090 11.92089 11.53894 11.24364 10.88231 10.70529 10.75427 10.84925 11.13749 11.33475 11.77606 12.29583 12.75395 13.19397 13.20862 13.78676 14.30868 14.79422 15.38462 15.86402 17.03297 17.95866 18.60119 20.16575 20.78488 20.75893 20.73171 20.61329 20.93426 21.05666 21.18003 22.13967 22.77580 23.35025 24.21875 26.78019 26.80851 28.73652 27.80172 28.48361 27.34839 26.85615 26.29797 27.13755 27.84504 27.13626 26.35807 25.75406 25.78534 25.74349 25.48924 24.97409 24.83766 23.19699 22.08520 20.55556 20.35573 19.84848 20.60302 23.72171 24.85966 24.77578 23.45324 22.97757 22.74845 23.32536 22.95082 22.66831 22.07751 21.66031 21.13728 20.52811 20.59636 
18.28979 18.67943 18.09625 16.39332 14.70962 13.17080 11.55493 9.84674 9.26155 8.66279 8.02480 7.42794 6.53307 6.19182 5.80357 5.33640 5.23307 4.97470 4.80591 5.08050 5.18115 5.01890 5.11278 4.84653 4.22575 4.43379 3.83166 4.07883 3.86766 3.88889 4.17582 3.71363 4.16365 4.54887 5.63079 5.82945 6.53942 7.32984 7.33879 7.80478 8.42841 8.68623 9.41704 10.67919 11.68582 11.90318 12.06689 12.03564 11.72708 11.21073 11.01583 11.21050 11.58223 11.81270 11.83266 11.87857 11.99234 11.99246 11.99374 12.49271 12.70900 13.01197 13.30150 13.54114 14.07963 14.28887 15.02242 15.61798 15.92083 16.98842 16.75639 16.69856 17.07124 18.08271 18.20513 19.03131 19.61484 20.77922 20.80238 21.44000 20.79867 23.18436 21.76806 22.31638 24.49495 24.01961 22.79930 23.27731 25.04000 25.79186 26.74253 28.00000 28.15789 28.36066 27.35457 27.89474 28.10914 28.80658 28.14570 28.54305 27.81065 27.73038 28.30813 26.83284 26.87688 27.11306 27.21124 25.43235 23.59667 22.27149 22.28860 21.30682 23.01741 24.08638 25.74627 26.00932 26.74157 25.79281 24.86231 24.52607 23.70759 22.50000 21.28072 20.75597 20.62343 20.03805 19.58569 
17.15369 17.03379 16.51949 15.37950 14.41143 13.30121 12.06525 10.94494 9.57529 8.06686 6.67174 5.76344 4.66622 4.22112 4.27551 4.32165 4.14258 4.21429 4.03933 4.00341 4.10981 3.93120 3.74076 3.62845 3.18404 2.66160 2.23941 2.62456 2.73224 2.66727 3.00231 3.20896 3.42219 2.96128 3.61050 5.04087 5.79249 6.42857 7.03413 7.25389 7.40377 7.37527 7.83864 8.52774 9.56885 10.62992 11.39403 11.96446 11.47727 10.89260 10.52026 10.88365 11.25026 11.47854 11.81618 12.00246 12.36337 12.81950 13.19292 13.72512 14.35004 14.99169 15.18749 15.51891 15.62500 15.99839 16.40335 17.46988 17.94973 17.95332 18.63461 18.72340 18.71406 19.33579 20.00000 20.42654 21.50838 22.02572 21.73252 22.70408 22.77677 23.87295 25.58887 26.26582 25.69832 25.27174 24.10714 24.37620 24.44444 24.77396 25.43554 25.78850 26.35727 27.86885 28.13559 28.95288 28.80435 28.71287 29.63259 29.27520 28.57143 29.69283 29.20455 29.72028 29.80437 29.67525 29.38931 27.90807 26.46528 25.24401 25.09653 25.40241 25.10309 25.23404 26.17188 26.56250 27.04987 27.25806 27.06342 26.93288 25.48441 23.80952 22.77778 21.33878 20.05445 19.77681 19.64061 
16.07514 15.59331 15.11520 14.45022 13.84550 13.11475 12.43723 11.71737 10.44795 8.98106 7.85939 6.91304 5.98569 5.60547 5.71038 5.76235 5.96395 5.92875 6.16698 6.03048 5.73276 5.59273 5.11152 4.65828 4.36242 3.36251 2.63558 3.01724 3.32141 3.60169 4.44309 5.03686 5.12821 4.30328 4.13885 4.83374 5.39130 5.57692 5.30666 4.81928 5.35782 5.68603 6.29436 7.74908 9.02797 10.24011 11.26291 12.12806 11.54788 10.99458 10.66872 11.00833 11.21730 11.51875 11.98915 12.43472 13.10704 13.73575 14.47053 15.19608 15.94051 16.53661 16.93598 17.02128 17.48523 17.24891 17.48958 17.91095 18.44231 18.75826 18.68455 19.39006 19.79609 20.79807 20.99448 21.52778 22.17484 22.46377 23.00435 22.81553 24.65157 25.04836 25.05071 24.95362 25.96685 24.82143 24.80695 24.76895 24.81949 24.18244 24.83051 25.61437 26.22951 27.66544 28.24074 27.52161 28.57143 29.22705 28.93519 28.93347 29.67437 29.84496 30.05115 31.17723 30.42660 30.56901 30.10381 29.78142 28.08696 27.53488 27.83920 27.04240 27.04570 26.78100 26.77768 27.28395 28.21918 28.32750 28.63051 29.54545 27.10592 25.56719 23.46479 21.75660 20.87942 19.23295 19.41141 
15.24256 14.89520 14.46119 13.72610 13.11834 12.76730 12.65083 12.54559 11.77448 10.90406 10.05043 9.04523 7.97921 7.54486 7.45260 7.44051 7.47160 7.69231 7.75828 7.50626 7.18415 6.82736 6.42744 5.85322 5.04613 4.07524 3.49650 4.16667 4.51733 5.21990 6.17350 7.43243 6.70103 6.15537 5.41612 5.74074 5.17647 5.01691 4.55982 3.36788 3.78698 4.14875 5.29412 7.08700 8.42273 9.79342 10.86479 11.81862 11.39439 10.86009 10.60823 10.90039 11.09849 11.57940 12.17407 12.78127 13.43348 14.22188 15.07013 15.78171 16.77741 17.48566 17.73374 18.26255 18.40452 18.25706 18.59244 18.58470 18.80000 19.22729 19.48805 20.09531 20.24457 21.86262 23.12404 23.04569 23.44828 24.51737 24.31818 24.75000 24.24779 24.55621 23.45679 24.57143 24.29379 24.72527 25.24851 24.66793 24.21442 23.57651 23.60627 25.44910 25.04892 26.10365 27.93345 27.67559 28.08989 27.61194 28.57143 28.59756 29.03614 29.05728 30.80668 30.77994 31.62853 31.80737 32.06150 30.37525 30.17493 29.47368 29.26950 29.30514 29.44785 28.18182 27.66544 27.61989 27.50000 27.90404 29.18307 30.56066 28.80572 27.38034 26.11191 24.05638 22.17684 21.03194 21.09948 
14.07887 13.85699 13.79310 13.55140 13.42121 13.25367 13.11445 12.85851 12.50865 11.97781 11.59918 10.91971 10.16611 9.76963 9.52381 9.31229 9.46930 9.73611 9.96289 9.95355 9.79532 9.48993 9.18069 8.71781 7.87309 7.54824 6.86316 6.98427 7.66297 8.01630 8.81543 9.23913 8.74587 8.53462 7.63041 6.62997 5.09868 4.38914 4.02189 3.61311 3.84139 4.39853 5.12434 6.60409 7.74262 9.00901 10.13643 10.87595 10.73978 10.48744 10.43956 10.76833 11.07387 11.52378 12.11735 12.71534 13.42365 14.11659 14.77368 15.53622 16.62955 17.38217 17.90035 18.27920 18.61272 19.11236 19.37967 19.26531 19.62108 19.78673 19.81587 19.82072 20.72539 22.41113 22.44898 23.46939 25.45872 25.00000 24.86631 24.71910 24.70930 22.33607 23.51064 22.72727 22.83951 23.08468 23.00613 24.05567 23.54651 25.98753 25.10121 25.73150 25.50505 26.63934 26.60772 26.35240 27.69347 26.97466 27.47813 27.42176 27.55556 28.57143 29.07950 28.63128 30.32787 30.38462 30.39457 29.11184 29.32692 29.13593 29.46331 28.97351 28.35738 28.33333 27.20365 27.18351 26.95695 27.48593 29.10773 30.41498 29.87478 28.90005 28.25252 26.14118 24.14272 22.82353 22.01493 
12.67379 12.80638 12.85612 13.69315 14.22059 14.28277 13.72951 13.14243 12.96430 12.94855 12.92135 12.55720 12.37294 11.91908 11.38868 10.79361 10.84453 11.15471 11.34884 11.42396 11.32168 11.18026 10.93629 10.62068 10.31837 10.16451 9.78474 10.23746 10.51758 11.19783 11.26021 11.44634 10.80060 9.30931 8.43949 7.01220 5.50071 4.78655 5.05002 5.26081 5.29144 5.98432 6.19011 7.29889 8.50656 9.34783 9.97387 10.43137 10.12440 9.58630 9.16144 9.72476 10.14812 10.73735 11.47926 12.16432 12.65364 13.28498 13.58636 14.24990 14.91228 15.78685 16.37527 17.22350 17.70463 18.20377 18.74652 19.18753 19.59569 20.05208 20.28376 20.45455 21.12676 22.01087 23.43413 24.92114 25.52083 26.94444 24.90494 23.66412 22.72727 22.04409 23.11609 22.21116 22.04409 22.86282 22.78226 23.18271 24.80695 23.92638 24.14830 25.50505 25.86207 25.07987 26.22821 26.42527 26.69683 27.27273 27.09581 27.94118 27.51159 28.23713 28.50812 29.92481 28.69822 28.02817 28.42324 28.22278 27.85978 27.88698 28.35249 28.43389 28.02548 27.01900 26.62338 26.41711 26.40808 26.93483 28.13981 30.35516 30.43478 31.80328 31.00592 28.68897 26.51757 25.08013 24.45923 
12.23270 12.28141 12.33065 13.37942 14.22713 14.46346 14.08994 13.93735 13.75801 13.65685 13.67031 13.47403 13.24623 12.94169 12.31427 11.83417 11.78168 11.90635 12.17753 12.17085 12.20707 12.19790 12.47743 12.82958 13.11875 13.50307 14.19631 14.38612 14.67668 14.49254 14.15130 12.68896 11.03696 9.51705 7.66023 7.00596 6.10870 6.00684 6.94196 8.01511 8.53563 8.52205 8.87277 9.31763 10.07403 10.49401 10.57474 10.53114 9.43932 8.28560 7.51530 8.01268 8.57341 9.18225 9.93319 10.81117 11.15918 11.45251 11.65231 12.04942 12.43795 13.04303 13.98892 15.01325 15.41080 15.63845 15.83630 17.00696 18.62745 20.04897 20.82811 21.70963 22.93578 24.23756 24.58101 24.86911 26.18147 24.70930 23.83367 22.37624 22.94118 23.18087 23.60248 23.25820 22.95082 22.92089 23.33333 22.88802 23.69942 24.31102 25.23992 26.20890 26.77239 26.90217 27.30627 27.56757 27.27273 27.84380 27.85235 27.39726 26.97568 27.97527 27.08934 27.25948 28.10219 27.14681 27.39726 26.50131 27.07254 26.96774 25.97173 25.65166 26.01432 25.37572 25.52448 25.52147 25.03083 25.84135 26.98675 28.43980 30.34934 30.42506 30.75356 28.87850 26.98507 25.48673 25.48077 
12.44319 12.17976 11.96351 13.01837 14.04679 14.60408 14.46770 14.59245 14.55980 14.37038 14.26640 14.19450 13.95878 13.72492 13.18944 12.73569 12.68841 12.85662 12.92273 13.01555 13.09462 13.25986 13.78660 14.30206 14.92136 15.60611 16.39214 16.57943 16.81509 16.62968 15.43706 13.50148 11.90818 10.12514 8.18257 7.56285 7.11587 7.38636 8.60455 9.94065 9.86083 9.86842 9.84252 10.03923 10.48441 10.70461 11.45974 11.75198 10.29412 8.58881 7.39234 7.22274 7.23513 7.39300 8.08276 8.83309 9.42712 9.90610 10.33490 10.94609 11.48098 12.21030 13.05117 14.48287 15.05267 15.64327 15.96958 17.53837 19.29982 20.98321 21.82540 23.18909 23.17575 25.35336 25.39063 24.03259 25.37797 23.70130 24.41365 25.89852 24.53416 24.32150 25.72614 24.94908 24.49393 24.44890 23.81466 23.68421 24.76099 25.54028 25.14286 25.95420 26.14260 27.99642 28.06859 28.26476 28.15789 28.50000 28.50082 28.22222 28.22222 27.48886 27.46871 27.45787 26.89076 26.81452 26.50602 26.40665 26.84949 26.14504 25.87413 24.97083 23.85159 24.10817 23.28289 24.52830 24.51737 24.84117 24.79142 25.75058 27.12610 27.41935 27.91181 26.98630 25.78125 25.29561 25.58431 
13.57969 13.09419 12.79692 13.32671 13.97127 14.44294 14.80322 15.07314 15.02275 14.57394 14.29296 14.13466 14.09058 13.98830 13.82353 13.76723 13.80801 13.93702 14.07852 14.16035 14.13849 14.26194 14.85997 15.60876 16.27535 16.99222 17.85714 18.05689 18.02168 17.63602 16.80871 14.85876 12.70544 11.16635 8.63561 8.73016 8.46154 8.57330 9.65909 10.83676 10.85541 10.35188 10.13540 10.17131 10.14986 10.74074 12.21026 13.36780 11.34410 9.10599 7.52323 6.89577 6.31210 6.14834 6.49445 7.08752 7.77538 8.71844 9.41508 10.19444 10.94589 11.77207 12.83535 14.54025 15.42532 16.10333 17.13538 18.40762 19.89924 21.52269 23.70968 24.46084 24.22434 24.08829 25.70850 24.18033 24.10526 23.67865 25.36842 26.20042 27.71967 28.16456 27.76618 27.68595 26.12245 24.55090 25.48387 23.18087 24.60497 24.55947 25.92191 26.36555 28.65979 27.51479 29.19708 29.98221 30.51282 29.71619 30.81967 30.04695 30.49536 29.29448 28.31858 28.72969 29.77778 29.14201 28.35052 28.66109 28.60111 28.48276 27.44361 26.47428 26.33588 24.52107 24.93473 24.66340 24.96863 25.00000 25.39593 25.91362 26.78762 26.33929 26.93277 25.08970 24.74302 24.53102 24.55931 
14.81481 14.07064 13.24306 13.41843 13.70638 13.96846 14.65572 15.29428 15.12653 14.68322 14.17368 14.01249 14.06609 14.04169 14.23493 14.35659 14.48304 14.66331 14.81294 14.93467 15.00899 15.14003 15.92190 16.81445 17.45695 18.34989 19.38266 19.53189 19.68191 19.53003 18.45588 16.98727 15.31981 13.38341 11.22300 10.61776 10.09410 10.04425 10.63316 11.43667 11.45365 11.14943 10.82009 10.04367 9.25029 9.71091 10.86957 12.05000 10.78220 9.27031 8.12567 7.45335 7.01677 6.86345 7.33481 7.86578 8.59970 9.34320 10.15537 11.20637 12.29780 13.28930 14.27390 15.70753 16.85203 18.46939 20.04161 21.28548 22.32472 24.18033 25.39293 27.03426 27.86885 27.38971 28.01484 28.52423 27.63158 27.02407 27.84810 29.21109 28.29787 28.94737 27.27273 28.57143 27.35230 26.87366 26.16822 27.18894 26.92308 27.53165 27.11340 29.10603 26.60000 28.82353 29.73734 29.47080 30.12367 31.15318 30.25000 30.36278 30.23256 30.67485 30.45388 29.65368 29.95392 30.01531 29.20792 29.02796 29.24901 28.48761 28.46975 27.86305 26.88172 26.29674 25.42787 25.48571 25.11682 25.78947 25.39936 26.13277 26.51905 25.26519 26.03306 24.73605 23.90057 23.45825 23.60913 
13.98285 12.97798 12.25435 12.21768 12.40081 12.73739 13.70968 14.46480 14.64798 14.41598 14.05443 13.97349 13.93147 13.91621 14.29740 14.72899 14.97886 15.08150 15.25440 15.50125 15.70835 16.06041 16.93361 17.85355 18.66167 19.66310 21.05425 21.40625 21.44159 21.30819 20.20498 19.19935 17.40861 15.44755 13.59769 12.45943 11.70213 11.19715 11.50996 11.84453 11.89118 11.87104 11.71108 10.25936 9.16737 8.75588 9.82143 10.65005 10.19439 9.30923 8.71086 8.02923 7.60870 7.52557 8.10610 8.69891 9.32053 10.28524 11.08491 12.22043 13.47773 14.62667 15.52439 16.70379 18.00723 19.67407 22.14422 22.62716 23.80435 25.44685 26.80085 28.85784 29.09535 30.12048 31.06509 31.16438 32.13483 32.51121 30.92672 32.15859 30.79470 30.38991 29.31034 28.72093 27.07865 28.66667 27.79126 27.33813 28.92857 28.14570 28.11159 28.47826 28.43552 29.23554 29.33071 31.10687 29.87132 30.24911 31.44599 31.53457 31.37255 31.07029 30.84615 31.41994 31.07903 30.20990 31.05498 30.97983 30.63830 29.77528 27.99014 26.95122 27.49121 26.40845 25.88652 26.37106 26.14841 26.71801 26.57343 26.09700 26.27471 25.91675 26.29310 25.13089 24.68514 24.24242 23.63592 
13.06624 12.09065 11.32163 11.07103 11.08962 11.24667 12.43968 13.33070 13.65468 13.48195 13.50648 13.45129 13.58856 13.75026 14.21984 14.68220 15.10422 15.43440 15.72123 16.09145 16.54517 16.97022 17.78905 18.61555 19.45331 20.29016 21.55172 21.88373 21.97343 21.89790 20.87977 19.88564 18.51475 16.99013 15.24835 14.61229 13.72628 13.14682 13.09795 12.58550 12.54911 12.85601 13.15594 11.87238 10.64153 9.88917 9.87737 9.77817 9.42525 9.09328 8.64750 8.51268 8.26505 8.38002 8.98805 9.78415 10.56975 11.46675 12.49190 13.48039 14.38069 15.26932 15.94680 17.13483 18.19620 19.54351 21.42857 22.16582 23.05046 24.40120 24.85876 26.95035 27.09360 29.72973 31.04213 32.25446 34.31373 34.74026 33.41523 33.08824 29.77941 28.14815 27.66749 27.10526 27.34375 27.51938 30.20305 29.05237 28.25553 30.74324 29.78261 28.61915 30.67686 29.83193 30.00000 30.87045 31.04089 32.33696 31.58845 33.24607 31.40704 32.29508 31.12903 31.01266 31.36646 31.25000 30.65967 28.89344 29.78723 28.93258 28.22878 28.12880 27.18894 25.97254 26.31579 26.44766 26.70391 27.60943 25.96685 26.15132 26.37914 26.09329 26.12994 25.26042 25.12626 24.23469 23.68223 
11.51169 10.94436 10.51319 10.13746 10.09446 9.92825 10.96272 11.74629 12.32527 12.35857 12.27248 12.62839 13.15324 13.69577 14.14856 14.68229 15.17644 15.70372 16.19954 16.77895 17.32922 17.97633 18.64105 19.25403 20.11684 20.88568 21.90068 22.11147 22.06685 21.98841 21.30125 20.08467 19.26636 18.02493 16.99698 16.29747 15.72752 15.11628 14.36031 13.87916 13.92646 14.48885 14.70907 13.61789 12.43347 11.75249 10.74426 10.12100 9.75725 9.43032 9.27264 9.10541 9.12046 9.39258 10.09015 10.84530 11.70970 12.77844 13.92405 14.50820 15.29637 16.06891 16.61708 17.27537 17.91682 19.06250 20.29965 20.97523 21.01828 22.09016 21.94656 23.49398 24.88839 27.77778 29.01376 31.73302 34.65116 34.55378 33.29016 31.86398 31.90955 27.76382 27.12500 26.76630 28.80435 27.76280 29.31034 31.50134 31.77215 31.95755 30.22727 30.16241 29.53020 30.43478 32.67974 31.64557 33.07393 31.42589 32.41758 31.89189 32.36842 31.75676 32.29342 30.48780 30.69307 31.58320 30.53797 29.25978 29.90331 28.40314 27.47112 26.83544 27.23059 25.74032 26.21744 26.97368 26.52174 26.48305 26.44889 25.81152 26.12245 25.77733 25.36657 24.49606 23.97436 23.03371 22.19731 
10.71794 10.42601 10.18474 9.75006 9.54711 9.24379 9.77787 10.50653 10.81924 11.27870 11.65891 12.24778 13.20791 13.93838 14.77150 15.46823 16.14374 16.59396 17.19240 17.58328 17.93800 18.18464 18.67946 19.00204 19.54853 20.02068 20.61249 20.66062 20.62835 20.42982 20.02696 19.79265 19.20171 19.25400 18.86372 18.34491 17.89216 17.48208 16.86330 16.17047 15.96838 16.35460 16.51543 15.75729 14.84099 14.04448 12.81741 11.83135 11.26303 10.86844 10.51875 10.38883 10.30776 10.53101 11.32227 12.14258 12.96712 13.89668 14.90944 15.56481 16.27814 16.76397 17.46345 17.78147 18.35358 18.08670 18.85699 18.73191 18.72510 19.81279 20.23810 21.62162 21.98529 24.51327 24.39024 29.03614 31.48615 33.08271 32.77512 33.91608 30.97561 27.80430 26.05634 28.81844 29.50581 30.91716 29.83193 30.25210 31.84211 32.21649 30.09828 29.19708 29.62529 30.77803 29.64286 30.60046 31.03448 31.80970 33.30292 31.52574 32.40072 32.33743 29.96661 29.44535 31.02134 30.99851 30.18868 30.12048 29.01961 28.76276 28.23529 27.74936 26.52330 26.50177 25.52083 25.97403 25.85837 25.65166 25.11765 25.17875 25.37538 25.57100 25.29240 23.98092 23.28244 21.79300 20.12894 
10.63913 10.28739 9.95272 9.54810 9.15210 8.80257 8.95985 9.03162 9.42149 10.16087 11.01091 11.93966 13.23915 14.26188 15.32310 16.17486 16.94825 17.56518 18.19565 18.44815 18.39535 18.33651 18.31095 18.47607 18.49898 18.94666 19.27284 19.35859 19.22581 19.37759 19.42200 19.12763 19.16077 19.11281 19.13958 19.19272 18.96552 18.73671 18.09816 17.21814 16.97138 17.18931 17.11975 16.51569 15.62406 14.65129 13.79954 12.83901 12.20836 11.86012 11.35593 11.27390 11.19224 11.23004 11.80497 12.45784 13.21783 13.96127 14.82059 15.62399 16.49378 17.02089 17.62703 18.25485 18.37088 18.97185 19.15709 19.53560 19.39961 20.25406 21.42241 22.72727 24.34679 25.85693 27.63636 29.54545 29.92424 32.07792 32.66332 32.07317 31.02625 29.27136 29.75000 28.76506 29.81651 30.61538 31.52493 33.23529 30.57851 30.02611 30.25316 30.17456 29.59427 29.06178 30.52885 30.11628 30.88803 32.23684 32.11009 32.02247 31.14754 30.98214 31.44599 30.52277 30.80569 30.52550 29.47368 29.57359 28.85906 27.79221 28.25798 28.23834 26.56250 25.73271 25.63364 25.92379 25.68493 25.26316 25.26132 25.37313 24.89339 24.52532 23.77301 23.58037 23.19925 21.03524 18.98734 
10.50753 9.91981 9.41534 8.84825 8.46988 7.96335 8.49855 8.76569 9.51772 10.85187 12.19472 13.04723 13.76265 14.44298 15.30110 16.13933 16.99070 17.47412 18.03415 18.14778 17.92438 17.82958 17.61078 17.46215 17.30391 17.60594 17.79119 18.20839 18.44487 19.00321 18.87887 18.93788 18.88270 18.53871 18.43017 18.19976 18.76729 19.12119 18.29022 18.23316 17.57075 17.10963 16.71975 16.01796 15.49175 14.75436 13.91344 13.20229 12.90560 12.71250 12.51405 12.35967 12.11306 11.98347 12.15517 12.34310 12.77162 13.40965 14.24523 14.81321 15.84302 16.97100 17.25000 18.13424 18.96875 20.30100 20.41284 20.91932 20.91388 21.91413 22.92348 24.39024 26.19454 28.66175 32.16645 30.85106 31.20205 30.99174 31.64179 29.76540 30.59937 31.65138 31.76292 31.19266 30.95975 30.67485 30.49536 28.89908 30.60345 30.52486 31.55080 29.00000 28.67299 29.01376 29.84055 31.08407 33.12500 32.89206 33.30020 32.17550 32.91139 32.82648 31.05802 31.94915 30.85622 30.77532 29.56656 30.67350 29.14894 27.64706 27.72843 27.49077 27.72843 25.67568 25.89928 25.54913 25.45455 25.17123 25.08475 24.44321 24.32286 24.66735 24.05567 23.36449 22.43243 20.33426 18.37945 
10.85553 9.77147 8.87035 7.97592 7.53123 7.04040 7.66575 8.67313 9.67056 11.42527 13.07327 14.03277 14.30283 14.61120 15.20056 15.83999 16.29681 16.86047 17.44930 17.67943 17.51372 17.45448 17.34063 17.01133 16.72738 16.72332 16.46758 16.72699 17.13810 17.75373 18.31114 18.79599 19.20668 19.05537 18.74286 18.82813 19.18302 19.41511 18.82893 18.19222 17.29407 16.20038 15.05435 14.13586 13.45438 12.85591 12.46597 12.25038 12.09038 12.09715 12.10068 11.90952 11.70531 11.74575 12.02312 12.06897 12.55737 13.11371 13.83742 14.69701 15.31720 16.26617 17.29428 19.12908 20.27991 21.63164 23.24841 23.43324 25.48638 25.77519 26.94346 27.62431 30.11665 31.74825 34.02662 33.29298 31.46552 31.25000 32.83133 34.57944 34.35252 31.89655 33.44156 30.56478 30.13245 31.31148 30.95238 32.01893 30.14706 29.97159 30.08130 30.67010 28.67647 30.49645 30.32787 31.50685 31.09244 33.12883 33.86454 33.33333 33.09091 32.55814 31.25000 30.47945 31.03448 30.97561 30.62201 29.69925 29.73568 28.45638 27.71318 27.55611 26.37644 25.86634 25.20958 24.82877 24.86127 25.25084 24.61790 24.78308 24.31723 24.89605 23.71429 23.33333 21.67553 20.02606 19.16462 
10.26544 9.23525 7.97214 7.09417 6.76077 6.41399 7.15804 8.40626 9.60767 11.54163 13.38493 14.46948 14.60115 14.74490 14.92613 14.95671 14.94310 15.49072 16.09421 16.61339 16.88837 17.44657 17.13903 16.97439 16.55442 16.01713 15.53551 15.45283 15.74766 16.02941 17.26493 18.73351 19.63979 19.47349 19.69579 19.82000 19.81316 19.92897 18.80580 18.42984 17.00544 15.07001 13.62832 12.13317 11.38699 10.71244 11.08709 11.24486 11.26718 11.24887 11.33382 11.30891 11.51135 11.73806 11.90711 12.05610 12.59259 13.32953 14.23964 14.76000 15.41837 16.57005 17.74272 20.04870 21.48461 24.01747 26.09756 29.63303 31.86813 33.15217 32.69231 32.74487 33.80893 34.33180 36.76471 35.89109 37.20588 34.71338 35.42320 35.73770 33.96947 33.15217 32.67148 32.81250 33.56164 30.87248 32.07547 31.53846 30.47337 30.28571 30.32787 30.00000 30.48469 30.32178 32.10024 31.59091 31.61926 32.31579 32.78689 33.23529 32.43762 32.76481 31.85053 32.27513 29.30153 29.15254 29.64824 29.74203 28.41246 27.27273 26.96929 26.34615 26.20558 26.09489 26.66667 25.91116 26.24585 25.94800 25.92397 25.54517 25.45455 25.17448 23.99083 23.11828 21.72775 20.36638 18.81793 
9.90463 8.85097 7.61719 6.57492 6.54030 6.43846 6.98831 8.32727 9.74917 11.47809 13.20185 14.44002 14.44383 14.50178 14.37932 14.26252 14.13269 14.77672 15.26042 15.89998 16.60563 17.22189 17.49339 17.52941 17.39523 16.44703 15.72174 15.31808 15.17777 15.36537 16.45768 17.98246 18.96904 19.12073 18.74541 19.20455 20.10909 20.57842 19.81602 19.03774 17.44102 15.46696 13.66025 12.14477 11.07266 10.55646 10.85112 11.32590 11.60607 11.99312 12.40856 12.51120 12.81938 13.39432 13.99856 14.44067 15.45741 16.30947 17.59657 17.98949 18.50087 19.28458 20.58375 21.92275 23.08061 25.76159 28.04878 30.64516 33.65385 34.70716 35.43689 35.08604 36.63968 36.44401 36.99789 36.58537 36.61538 36.31922 38.46154 37.62376 35.33835 33.45588 32.44681 31.44876 31.70732 30.99315 31.53846 31.81818 32.45614 30.61798 31.85484 29.36508 30.86735 31.75182 31.34146 33.64929 33.41176 33.74718 34.53947 34.13174 33.75242 33.21300 32.52688 31.41593 30.29772 31.15318 29.94924 28.76923 28.05430 26.12676 26.08992 27.10526 26.29534 25.86634 26.95122 26.68571 26.94841 27.34043 26.75620 25.98784 25.76355 25.77821 23.76682 23.12445 21.42857 20.88745 19.48454 
10.07998 9.14255 8.05253 7.36636 7.45098 7.64569 8.24468 9.26339 10.20631 11.55433 12.83272 13.78146 13.74358 13.77259 13.84482 13.76179 13.72055 14.23438 14.83157 15.31062 16.22218 17.13098 17.65881 18.16710 18.37624 17.20790 16.05876 15.35665 14.98929 14.72275 15.80181 17.05366 17.92453 17.68210 17.60995 18.53659 19.57701 20.72491 19.85210 19.09967 17.45781 15.50044 13.79169 12.08720 10.98312 10.46956 11.22868 11.74515 12.49303 13.15739 14.20563 14.65105 15.25547 16.15212 16.86158 17.54703 18.57337 19.72534 21.02759 21.37527 21.78529 22.38031 22.98061 23.52941 24.92260 27.08934 29.72973 31.90255 35.03937 36.84932 38.00000 36.97270 38.54962 37.17340 38.80597 38.95706 38.15789 39.13793 38.42282 37.67123 37.50000 34.71698 32.00000 32.12996 30.91873 31.25000 33.01887 32.00000 31.41593 32.52841 31.65761 31.14973 31.92308 32.76284 32.63547 34.04255 35.10638 33.37104 35.43046 34.64052 34.64819 33.36576 33.01344 32.85714 31.11888 31.34851 29.67599 28.44702 28.26399 27.16480 26.39077 27.13535 27.05656 26.80982 27.62022 27.50000 27.97553 26.98585 27.08114 26.55280 24.70588 23.55491 22.46310 21.83227 20.37367 19.69950 18.71463 
9.92494 9.26636 9.02104 8.47091 8.58896 8.94031 9.25304 10.08861 11.02978 12.06375 13.01103 13.62257 13.33529 13.14860 13.11250 13.53370 13.76238 14.30309 14.80203 15.27331 15.77422 16.26538 16.81271 17.44914 18.07245 17.51567 16.73197 16.58730 16.39549 16.19718 16.02183 16.08613 16.02564 15.81756 15.16024 15.64026 16.63880 17.21811 17.02945 16.62875 15.66810 14.43562 13.31946 11.81384 11.27102 10.83003 12.16804 13.07287 14.14351 15.51815 17.40519 18.47420 19.44018 20.45043 20.87451 21.47583 22.25174 23.15679 24.13793 24.79776 24.72406 25.38860 25.60976 26.24785 28.00587 29.24757 30.98982 32.64659 34.00350 35.83333 37.16381 36.66667 37.66667 35.60268 36.14319 37.92570 36.18421 35.25424 35.51724 34.48276 33.98577 34.48276 34.84848 32.35294 31.12583 31.00649 31.53846 30.23952 30.32070 32.10227 32.21024 31.74603 33.20611 33.67876 33.70370 36.00478 35.07463 36.23188 34.92991 33.86076 34.19421 33.30241 32.96703 31.28391 31.04000 29.85782 29.04239 28.07018 26.50862 26.81058 26.40219 26.45119 28.23529 27.90262 28.59825 29.25532 27.99552 27.96518 27.05515 25.91463 24.03288 23.07692 21.52589 20.32374 19.12156 18.28859 17.48768 
9.94790 9.97747 10.06679 10.09736 10.19177 10.10638 10.48628 11.12084 12.03942 12.75537 13.52886 13.67187 12.97450 12.47932 12.41083 13.24680 13.90345 14.34449 14.82553 15.17605 15.31555 15.25775 15.79046 16.62592 17.29639 17.40028 17.38056 17.29975 17.51684 17.31329 16.67212 16.20172 15.50279 14.83482 14.30195 14.38561 14.82228 15.17554 15.02242 15.08673 14.94946 13.99225 13.45324 12.58446 11.98910 11.91011 13.12463 14.05726 15.08556 16.74781 18.46898 19.47301 20.67104 21.92963 22.38870 22.93121 23.69648 24.51762 25.89080 26.22169 26.95716 27.12094 27.56563 27.76708 28.99344 30.27027 32.26300 33.93782 35.82231 36.68639 35.50914 35.11749 35.03401 35.51724 34.78261 33.96226 35.66553 34.73684 33.98577 34.83755 34.55882 32.97872 32.53425 30.20833 27.85235 28.85246 28.30769 28.89222 29.64602 31.40845 31.80593 32.98153 34.17085 35.69588 37.37624 37.52969 36.26238 36.36364 36.01399 34.96868 33.50305 33.51648 33.09091 30.98214 30.98257 30.51643 29.06977 27.64110 26.59574 26.58228 25.90028 27.18708 26.68394 27.68750 28.17509 28.34692 28.50055 27.98467 27.85863 25.23364 24.21160 22.93121 21.23092 19.85849 18.07621 16.85649 15.51339 
10.61328 10.62390 11.09006 11.46074 11.57342 11.35097 11.43326 11.96673 12.23362 12.95978 13.49528 14.06999 13.86424 13.57007 13.69109 14.08098 14.58751 14.94772 15.35326 15.43870 15.12346 14.73627 14.86925 15.44191 15.82527 16.48089 16.87482 17.17546 17.58576 17.82650 17.79714 17.51561 17.07317 16.07558 15.03695 14.61387 14.53078 14.77120 14.65927 14.74599 14.67319 14.51092 14.50463 14.04315 13.59441 13.66837 14.46347 15.16027 15.99293 17.45335 18.83523 19.65874 20.69493 21.59980 22.15777 22.84000 23.29474 24.53890 26.26134 26.51267 27.17050 27.95878 28.27491 28.44728 29.22770 31.37417 34.24015 36.66667 37.60870 36.78414 34.56464 34.29319 33.79310 33.25740 31.81818 31.66144 31.12583 30.72917 32.78689 31.62252 32.50883 33.56164 32.78689 32.08191 29.45860 27.12610 26.53631 28.80435 28.80886 30.74866 32.64781 33.28912 34.81013 35.07653 35.62654 36.65105 36.42534 37.90850 35.59499 35.39554 33.89662 33.54317 32.35294 31.15044 31.34454 29.70297 28.50877 27.58621 26.79325 26.40219 26.54987 26.67984 26.34615 26.83686 27.42718 27.84884 27.98467 26.63657 27.03426 25.28321 23.21429 21.55689 19.09263 18.20728 16.39118 15.26674 14.07740 
11.77536 12.08545 12.47777 12.91838 12.96510 12.65894 12.50000 12.54089 12.42961 12.96911 13.65591 14.20875 14.32056 14.49838 14.82370 14.78499 14.82822 15.08112 15.28548 15.17216 14.83822 14.10781 14.02381 14.53184 14.86197 15.57241 16.18705 16.79806 17.39130 17.80391 17.96949 18.11642 17.93394 17.19135 16.22465 15.78947 15.67055 15.41149 15.50059 15.62714 15.74885 15.86786 16.04966 15.76739 15.42427 15.20198 15.54476 15.96825 16.46805 17.46749 18.19000 18.72055 19.16475 19.67231 20.20820 20.76553 21.81857 23.23473 25.43807 26.00000 27.42230 28.45369 29.18731 29.33673 31.53153 33.14607 35.80645 36.93931 37.01117 37.78090 32.92683 32.04787 32.99320 31.49780 32.55034 30.91716 29.96894 30.75658 28.70662 31.06312 30.17857 33.39286 32.35294 29.40141 31.31313 30.00000 28.27869 27.98913 29.69613 28.45745 33.98437 33.15508 37.59690 37.10937 35.75000 35.78199 36.64384 36.87090 35.72939 35.15464 33.36694 32.38532 32.00000 30.90909 29.70890 29.30153 28.31595 27.76163 27.46781 27.00276 26.56250 26.23169 26.80210 26.79028 26.23574 27.18978 26.69735 25.67568 25.38226 23.14619 21.96970 20.81712 18.68132 16.74805 15.56420 14.35342 13.79661 
12.28273 12.65060 12.84052 13.17416 13.06803 12.66181 12.59926 12.17832 11.80148 12.33432 13.02326 13.89257 14.26551 14.91670 15.02818 14.54963 13.93737 13.98224 13.78650 13.89669 13.78608 13.49107 13.84820 14.19833 14.48703 14.82730 15.42522 15.59220 16.27249 16.57368 17.28972 17.80327 18.33726 17.91553 17.51834 17.32143 16.88972 16.56181 16.82171 16.98842 17.28963 17.70417 17.94473 17.81502 17.46791 17.22222 17.01041 16.91552 16.89636 16.98912 17.12986 16.96621 17.07406 17.16040 17.43865 18.01634 19.23404 21.55294 24.30350 25.05790 26.93694 29.37500 29.46429 31.37255 32.71028 35.65737 37.73364 36.01695 35.04399 35.39823 35.35620 32.19697 30.26316 32.44275 30.27295 30.09828 28.40909 27.92916 29.76974 28.26855 27.64901 31.64336 30.67797 34.65347 32.60188 30.73394 29.23729 30.69705 31.81818 32.63158 31.29676 34.44149 35.03836 35.43307 35.30151 34.56938 35.68330 33.88430 34.41176 33.68321 34.01869 32.57713 31.01266 29.15162 30.05181 27.65411 26.31579 26.56250 25.42113 25.65789 26.22478 26.12676 27.54011 26.38710 26.48456 27.26751 26.03939 25.53711 24.86034 22.84736 21.05751 19.07080 18.17793 16.13892 15.27919 14.56860 13.83357 
12.90749 13.09904 13.18886 13.24363 13.04167 12.82644 12.54991 12.16675 11.73980 12.07154 12.99763 13.90211 14.77525 15.68886 15.69839 15.01740 14.39967 14.34243 14.49338 14.47506 14.78465 14.98454 15.20579 15.46635 15.45332 15.68345 15.57309 15.49826 15.94014 16.68831 17.43421 18.13598 18.71707 18.92767 18.97511 18.98638 18.90468 18.81923 18.42105 18.10977 18.02632 17.99849 18.23770 18.21442 18.36692 18.24174 17.77638 17.47951 16.89635 16.53151 16.04410 16.15087 15.89953 16.09024 16.97761 17.84081 18.97445 21.27383 24.15459 25.60113 27.60098 29.54545 31.78808 33.43284 36.29032 37.39224 38.66499 39.77273 38.32335 37.05357 35.84906 34.40367 32.58065 32.27273 32.79412 32.37822 32.00000 31.92771 30.27523 28.99023 28.70968 29.89691 31.83391 32.24299 33.43558 31.96203 34.63855 32.03343 34.27762 33.28912 35.15228 33.24468 34.57584 35.00000 32.92079 33.77404 34.05640 33.33333 32.01161 31.10902 31.42329 30.74866 28.83598 26.53779 26.68919 26.39594 26.03834 25.23585 24.37888 25.82090 24.96340 25.74967 26.04871 26.89243 26.80982 27.21292 24.71132 24.89407 23.21429 21.88516 19.84615 18.77432 17.00555 15.62774 15.09662 13.93770 14.15397 
13.75630 14.02635 13.96527 13.77246 13.53730 13.25696 13.18871 13.03094 12.61622 13.35793 14.54482 15.62361 16.30022 16.75293 17.06481 16.52448 16.07940 16.11104 16.40118 16.76088 16.96180 17.10012 17.24301 17.15783 17.13945 16.74401 16.06628 16.06314 16.60517 17.08801 17.86378 18.62092 19.15934 20.00000 20.65506 21.15219 21.21427 21.51532 20.64677 19.32515 18.47551 18.20232 17.92390 18.19631 18.67838 19.13246 18.37326 17.60671 16.92234 16.02733 15.30340 15.15532 15.14815 15.40125 16.71159 17.57012 19.33145 21.46917 24.42728 25.89660 27.78447 30.40913 32.61589 37.30769 38.58998 41.19639 42.42021 41.04478 41.53605 41.50943 37.54153 39.18033 35.05155 34.81013 32.03593 32.30337 31.70732 32.25352 33.76068 29.58580 29.20354 27.68987 27.57475 31.48148 32.13166 33.38926 34.18530 35.17964 34.86647 35.61644 33.46154 32.32984 33.16708 32.93839 33.44595 31.69165 30.28747 30.88235 30.07590 29.35780 28.99461 28.79939 28.21856 27.45536 26.30368 25.88055 25.03817 24.00307 23.86364 24.50593 25.00000 24.68514 26.14057 25.69528 25.27675 25.72993 23.99267 22.42888 21.24863 20.17241 18.11024 16.90217 16.57609 16.14699 15.53309 14.83957 15.11312 
14.53731 15.11525 14.91407 14.39437 14.30380 14.18586 14.05675 14.08396 13.97397 14.48540 15.77653 16.87792 17.67757 18.19812 18.40485 18.33960 18.24070 18.53548 19.00541 19.52842 19.26599 19.08178 18.78897 18.34372 17.61688 17.31205 17.14094 16.73970 17.06545 17.74253 18.11649 18.50292 19.08435 19.20466 18.91293 18.91271 18.47874 18.11252 17.05858 16.08158 15.22160 15.11226 14.94645 15.07301 15.49227 15.75342 15.82967 15.92115 15.82143 15.45040 15.28538 15.38752 15.73260 15.94149 16.89910 18.03493 19.57787 21.68618 24.00662 25.38168 27.87396 30.06244 33.33333 38.48485 41.13300 43.35180 45.54455 45.87629 46.16788 46.67897 42.73356 41.29693 40.95745 35.43689 34.45122 35.58559 36.32479 33.14607 34.09091 31.63265 31.67082 29.40415 31.30194 30.68862 31.77570 33.86076 36.23418 35.17964 35.21127 35.50914 33.37349 32.72251 31.29584 30.48193 29.25170 29.26566 29.68127 28.28571 28.45149 27.23214 26.03093 27.13415 26.76349 26.67121 25.58621 25.27248 24.28571 22.57844 23.09783 23.40426 24.08931 23.72881 24.64088 24.23414 24.03846 22.97297 21.42012 20.56856 18.35664 18.02326 16.82306 17.26190 17.57925 16.59028 16.74058 16.03774 16.22718 
15.06169 15.73853 15.44549 15.29140 15.22477 15.11338 14.96084 15.08758 15.00911 15.64077 16.84549 17.72666 18.66219 19.30059 19.79567 20.25115 20.46437 21.15778 21.61787 22.27618 21.58937 20.80492 20.05836 19.24616 18.19405 17.83764 17.64286 17.40838 17.69082 18.08067 18.39207 18.59223 18.67409 18.14827 17.31661 16.55136 15.74053 15.06272 14.54713 14.03428 13.76761 13.99385 14.20570 14.39750 14.72306 15.04656 15.30782 15.79572 15.99591 15.93137 15.86491 16.20188 16.38720 16.93067 17.77778 18.74405 20.17497 21.52185 23.46821 24.58054 27.24138 29.70512 33.37893 38.37429 41.90141 44.38503 49.00990 48.43206 48.31461 46.02273 46.66667 43.97810 43.10345 39.32384 38.34459 36.36364 38.99083 36.88047 34.36725 35.59113 32.47664 31.82898 31.90955 30.27397 30.58824 31.13497 33.01887 33.64486 34.46746 33.19672 32.57576 31.04839 30.17456 28.78049 27.26244 27.09677 26.62722 26.64165 26.92308 25.08651 26.44628 26.11191 26.43443 25.82781 25.26596 24.76636 23.67347 22.82389 22.47984 22.57742 22.15128 22.58065 23.27014 22.62465 21.10092 20.17692 19.44764 18.44106 16.50485 17.09184 16.23932 17.49634 17.10183 16.92308 16.92607 16.28606 15.90146 
15.73766 16.08852 15.83897 16.03937 15.70213 15.60244 15.42221 15.39383 15.63152 16.08498 17.27273 18.35486 19.26663 19.81891 20.67802 20.71220 20.88490 21.17132 21.69036 22.17689 22.08647 21.89093 21.42006 20.44103 19.38155 18.81768 18.05967 17.41961 17.63278 17.71718 17.73526 17.91420 17.86372 17.25637 16.37300 15.61937 14.91619 14.53755 14.73893 15.19257 15.68804 16.16375 16.74490 17.06166 17.45897 17.77532 17.80177 17.79938 17.75459 17.81188 17.66868 17.82007 18.04163 18.32071 19.00931 20.04395 20.88186 22.06260 22.95948 24.89236 27.27273 29.42728 31.67135 36.21324 39.11565 41.62437 45.63107 47.18750 45.22968 45.00000 46.02273 41.47727 39.96063 38.63636 37.14286 37.40876 36.88811 37.07692 35.77586 35.98901 35.63830 34.56464 34.34066 34.49721 33.33333 33.12500 33.60927 29.05844 31.25000 31.48148 28.27298 26.57534 27.53807 25.65789 25.45455 25.14286 23.90057 25.22686 24.95741 24.67532 24.88479 24.89177 24.79675 23.50699 22.77644 22.74025 22.75986 21.70139 21.95946 22.59186 22.51688 22.23987 21.70455 21.21896 20.20202 18.99727 17.87763 17.31392 16.06922 16.26794 15.92857 16.56347 16.47059 17.39130 16.09281 16.18257 16.25464 
16.65146 16.68165 16.56840 16.45882 16.01762 15.95271 15.40342 15.41223 15.66736 15.91945 17.31000 18.64040 19.67040 20.32374 20.92430 20.86629 20.64492 20.79273 21.18910 21.63591 21.90007 22.24189 22.05479 21.14849 20.13398 19.27332 18.36754 17.60096 17.65337 17.65380 17.77664 17.61905 17.49705 16.72426 16.04053 15.52987 15.40023 15.34954 16.22951 17.04366 17.82583 18.45310 19.11240 19.56188 20.01428 20.41131 20.15334 20.02069 19.73753 19.45736 19.07815 19.19676 19.57245 19.71335 20.46191 21.65698 22.55068 23.12368 23.65989 26.07162 28.41596 30.20619 32.23443 34.77941 36.14565 37.79762 41.96429 41.88144 44.42724 42.95302 43.52518 38.46154 33.84615 33.46008 30.21978 33.13953 33.76866 34.32056 34.76923 35.52632 36.21170 36.32708 34.23181 33.37731 32.28022 32.01754 28.89908 26.31579 27.10280 26.16822 25.16234 26.68622 24.26273 22.69585 22.92994 24.26036 24.95030 23.75691 23.52941 23.32790 23.89313 22.76596 23.07181 22.69373 21.36364 21.82497 20.90032 21.15972 22.09302 22.49790 22.18225 21.27159 20.37037 19.79472 19.11514 18.57639 18.56764 18.03030 17.29191 17.81457 15.47812 16.22517 15.67608 14.60938 14.37768 13.64238 13.82253 
17.28772 17.14801 16.79491 16.53109 15.99259 15.60935 15.03392 15.12091 15.20156 15.41677 16.72305 17.94872 18.72230 19.42981 19.98074 19.43656 18.71412 18.29244 18.13311 17.69679 17.97986 18.27243 18.47412 18.20264 18.11902 18.08797 18.01417 17.99007 18.14002 18.34904 18.37515 17.74494 17.23468 16.83910 16.40218 16.46154 16.91737 17.31561 18.18792 19.20561 20.04758 20.69454 21.43281 21.97064 22.40827 22.96420 22.69267 22.41409 21.89328 21.02564 20.34641 20.55233 20.78265 21.09505 22.04900 22.87523 24.00108 24.88789 25.90253 27.64378 29.26267 31.06277 32.29614 34.05032 35.49323 36.17684 37.53918 39.43662 39.90025 41.88034 40.08621 33.99390 31.77083 28.57143 27.52613 25.77320 26.92308 29.19355 31.88854 31.63265 32.96399 31.98433 30.43478 31.10540 28.03030 26.22951 25.71023 23.27586 24.01216 21.29630 21.72524 20.37037 21.84751 21.09756 22.82110 22.98729 23.54452 22.94304 22.65077 22.26562 21.45455 20.44335 20.13730 19.93281 19.72336 19.27711 20.46693 20.91619 21.61100 21.51361 21.50883 20.90517 20.12448 19.37063 19.11263 18.06623 18.55792 18.78378 18.99265 18.42105 16.47564 16.15646 15.56728 13.85542 11.95015 10.82544 11.60815 
17.96563 17.69858 17.09706 16.38986 15.74971 15.40706 14.78226 14.69420 14.67842 14.92518 16.07838 16.93134 17.85176 18.40989 18.89110 17.99007 16.95066 16.25153 15.63981 15.10621 15.03303 15.15964 15.17924 15.56153 15.93117 16.33217 16.81416 17.52232 17.77382 18.20679 18.07282 17.57133 17.17608 17.19312 17.04163 17.52548 18.27262 18.81627 19.73116 20.54721 21.36821 21.69811 22.13852 22.44326 22.76759 22.92765 22.72269 22.48364 21.93740 21.26279 20.69226 20.70358 21.08311 21.73548 22.90844 24.23983 25.74533 26.40356 27.87049 29.00449 30.09856 30.49065 31.65939 32.78689 34.00609 36.11111 37.42378 38.53503 39.75904 40.18692 36.29977 33.29016 31.44737 29.09836 27.54237 28.06789 25.79365 27.31092 28.63014 26.61765 27.01950 26.31579 25.44757 26.63317 23.78641 22.93814 23.43750 21.80157 21.40884 22.64957 19.81982 19.46903 19.57143 18.97906 20.35294 22.48908 21.49201 21.14428 21.80617 21.81070 20.15019 18.75000 17.69499 18.70144 17.85714 18.70130 19.39203 20.66626 20.56698 20.15595 20.41592 20.39312 19.79460 19.12682 18.75000 18.72271 19.15064 19.81707 20.12712 19.68691 17.80822 16.26140 14.67391 13.15436 10.28777 8.54701 9.02613 
17.80759 17.65867 17.19309 16.77382 16.48525 15.87102 15.23098 15.00133 14.59579 14.52883 15.11203 15.71201 16.26622 16.95428 17.58288 17.13926 16.64879 15.96730 15.73398 15.36759 15.03934 14.71092 14.20557 14.31335 14.36743 14.71405 15.04930 15.21336 16.14979 16.41430 17.12835 17.12162 17.15686 17.58559 18.05417 18.48935 19.56010 20.47782 21.17438 21.79056 22.53549 22.47426 22.54391 22.50643 22.31391 22.20159 22.05647 22.03977 21.59716 21.11517 20.60563 20.82540 21.36329 21.95353 23.51202 25.46697 27.14813 28.12859 29.96610 29.62963 29.97881 30.19458 30.98257 31.52632 32.92391 35.12869 36.61327 37.58993 38.04511 37.78761 35.45781 34.56790 32.65525 32.02765 27.33813 28.37209 26.41278 22.90576 23.62205 21.39175 19.49861 19.83914 20.85492 19.52507 18.78173 19.06475 19.50355 18.79433 17.80660 19.63855 17.05607 18.21429 18.92857 19.23077 20.22613 20.21661 21.28205 21.10754 19.81132 19.24220 18.10229 17.34828 16.80622 18.22323 17.31343 18.12191 19.02730 19.59263 19.37528 18.96552 18.93668 18.81671 18.81044 19.08034 19.36699 19.34673 19.90415 20.17417 20.02477 19.12833 18.72340 16.92308 14.44444 12.74351 9.57290 6.76077 7.69231 
17.16579 17.27177 17.45234 17.39796 17.07682 16.53134 15.88533 15.18850 14.91863 14.56068 14.77241 15.14585 15.83567 16.59459 17.36515 17.21165 16.97639 16.71470 16.55214 16.27105 15.80978 15.20763 14.62236 14.50557 14.27091 14.17964 13.92252 13.70768 14.61843 15.81418 16.99164 17.84382 18.93204 19.22446 19.31884 19.46625 20.23442 20.88036 21.30553 21.75403 22.12052 21.93155 21.65746 21.75408 21.75592 21.64283 21.58703 21.67532 21.39410 21.34919 21.46939 21.95846 22.90185 23.51534 25.15337 26.64490 28.07167 29.59590 30.73218 30.86681 30.65173 30.84691 31.59722 31.78092 33.07441 35.36232 37.63920 38.76777 39.76109 38.71595 38.07763 37.39496 35.18519 33.79310 32.15190 29.64286 29.86842 25.42373 24.27326 22.68786 20.59659 20.08310 20.08086 18.40000 18.44156 18.81579 18.78173 19.62025 20.57221 21.54472 20.00000 19.92665 21.30751 20.28302 20.00000 20.16238 20.62663 20.51482 19.01408 17.98507 17.12329 15.47779 16.44498 15.78073 16.39657 17.34148 17.94479 18.10567 17.71002 17.54967 17.75906 17.98051 18.49348 18.71216 19.77612 19.97099 20.22222 21.07969 19.51567 18.69031 18.15385 16.08345 13.29787 11.01974 8.71560 5.56426 7.57143 
17.80673 18.00214 17.78980 17.55228 17.32125 17.17520 16.68265 16.08696 15.71170 15.34074 15.76220 16.21759 16.54275 17.60045 18.07239 18.25546 18.27526 18.21989 17.82524 17.47543 16.95253 16.46004 15.64246 15.32340 14.78122 14.23205 13.27177 12.09634 13.39024 14.75874 16.50626 19.13371 21.24484 21.52311 21.10630 20.92351 20.94488 21.07525 21.33564 21.33052 21.45849 21.30080 20.98974 20.98857 21.23932 21.69713 21.67903 21.58613 21.67427 22.07741 22.44457 23.20026 24.45089 26.14476 26.96629 28.10219 29.79798 31.07932 31.92389 32.03246 31.90618 32.10227 32.73026 31.74114 34.20398 36.28652 38.47368 39.56522 40.55000 40.58296 39.54041 39.30481 37.85211 35.95618 33.55705 33.04348 30.14706 28.57143 25.64103 22.36842 19.82507 19.30836 20.00000 20.17045 20.75209 22.08333 20.87766 22.16495 21.05978 22.14854 22.56532 22.54005 22.03947 22.88851 20.96774 20.73620 20.32374 19.96466 19.69914 17.57322 17.12062 15.08796 15.64748 14.89058 15.65252 15.43519 15.65752 15.98246 16.01208 15.85664 16.21234 16.99801 17.76119 18.19563 19.49525 19.73799 19.68226 19.90693 18.84876 17.01183 15.22655 13.20755 10.67335 8.25893 6.16264 4.46781 5.27704 
17.91181 17.90323 17.90992 17.76088 17.58130 17.38268 16.98842 16.77601 16.85835 16.82777 17.25154 17.78104 18.07727 18.69774 19.49277 19.40442 19.41267 19.28138 18.65973 17.98427 17.38845 16.72345 16.06229 15.81021 15.50749 14.94650 14.33977 13.71681 14.60784 15.86207 17.69454 20.18443 22.65778 23.10160 23.04985 22.81130 22.01669 21.30652 21.05263 20.82425 20.75031 21.15987 21.48161 22.00944 22.62118 23.23768 23.35234 23.28061 23.35351 24.03231 24.46273 25.26718 26.84515 28.60810 29.18906 30.02201 31.17041 31.89114 33.21995 33.78821 33.88158 34.80392 35.64516 35.62500 37.24100 39.49353 39.00344 41.46040 41.63265 40.94256 40.42553 41.16071 39.04494 38.29114 37.85714 38.12950 35.24590 34.09742 30.85106 28.77358 27.45399 26.29179 25.44643 24.44795 25.77640 22.54098 23.34218 23.97959 23.20000 25.45455 23.80383 23.91304 22.90323 22.85192 23.57513 23.45133 23.54196 21.78423 20.23346 19.73180 18.55124 17.30559 16.34429 16.66667 15.69507 15.26786 15.32629 15.02560 15.17755 14.94771 15.58026 16.50281 17.40176 18.15203 19.19112 19.23077 19.47927 18.90661 17.61158 15.83248 13.44538 11.53351 10.20806 7.19947 5.48712 3.11419 4.56821 
17.77494 17.67986 17.63353 17.62252 17.42243 17.42601 17.26036 17.52043 17.87667 18.32845 18.93679 19.48067 19.89086 20.36916 20.75341 20.73099 20.49704 20.22301 19.37426 18.23738 17.58226 17.00599 16.39545 16.40379 16.37330 16.21529 15.77181 15.32181 16.02317 17.23349 18.59895 20.81737 23.69192 24.38740 24.79776 24.82158 23.34237 21.97802 21.39097 20.93560 20.58245 21.24327 22.01689 22.65220 23.40609 24.43890 24.69640 24.65586 24.96451 25.53378 26.36505 27.97249 28.70216 30.53212 31.55125 32.29295 33.11995 33.95349 35.46366 36.05948 38.31169 37.74704 39.90579 39.71774 40.06897 41.64456 41.54058 42.64069 42.83513 42.14403 43.82826 41.98473 40.49505 41.72185 42.62899 39.75610 38.87363 37.82609 35.45455 34.48276 33.69565 33.17757 28.63636 28.70968 26.81388 25.98315 25.81967 25.19685 26.79558 26.58730 24.22434 24.04494 24.37500 23.74350 23.62903 23.98374 24.64516 23.59551 22.83879 21.13402 20.51557 18.36634 17.25352 17.12329 17.33287 16.34561 15.42842 15.12464 14.53628 14.27234 14.67526 15.34230 16.35417 17.44269 18.32061 19.13947 18.42105 17.84512 15.86826 14.60674 12.77034 12.41259 10.84687 9.71731 7.81777 6.56977 6.95322 
17.11728 17.21282 17.19915 17.59162 17.39801 17.86430 18.10485 18.47104 18.85321 19.20236 19.73473 19.87041 20.16234 20.99960 21.47868 21.44976 21.02273 20.61232 19.62639 18.42105 17.67278 17.44707 17.05720 17.49629 17.81411 18.20381 18.31841 18.07038 18.60567 18.80682 19.69931 21.05369 22.71055 23.92059 24.87657 25.40813 24.04692 23.35681 22.52407 21.78966 21.23881 21.90141 22.39422 23.07216 23.81960 25.06443 25.47073 25.39296 25.84144 26.82600 27.87419 29.46824 30.94017 32.71120 33.64158 34.83146 36.50915 37.51239 39.42308 40.25559 40.68736 42.38754 42.73560 44.36997 44.59085 45.02653 45.43568 46.26647 45.36321 45.34314 44.35146 43.68071 44.73068 44.31818 44.64286 44.88636 43.59756 40.11976 38.75000 38.38710 34.95298 34.21053 33.91167 31.13497 27.67857 27.58621 28.08989 27.98913 26.86170 26.65816 23.31081 24.14894 23.96450 24.43820 23.95833 25.00000 23.41499 24.10959 23.09783 22.33766 20.55300 19.82173 19.01198 18.70942 18.28753 17.32308 16.37544 15.18228 14.73237 14.02715 14.52922 15.61845 16.49566 17.11676 18.11131 18.40491 17.35294 16.54095 15.72658 13.62755 12.90481 12.50000 12.08609 11.49103 10.74468 9.33041 9.04255 
15.91158 16.13776 16.76743 17.33193 17.96417 18.43697 19.25221 19.81824 19.79648 19.91031 20.13927 19.93376 20.08651 21.13402 21.99711 21.86371 21.33608 20.78295 19.78502 18.68854 17.96715 17.99327 17.85942 18.47291 19.53125 20.28898 20.41582 21.01976 20.94194 20.98646 21.02138 21.64053 22.55375 23.42569 24.79201 26.29758 25.86645 25.89958 24.82977 23.50971 22.59417 22.53521 22.45839 22.83092 23.71424 24.53589 25.33362 25.99004 26.91993 28.58969 30.63555 31.63265 33.55350 36.03846 37.19101 39.32119 41.35914 43.10142 44.53518 45.33001 45.17995 45.59413 46.57534 46.96734 46.38264 46.77914 47.10611 45.97990 45.77465 46.37546 47.13604 45.16129 44.18605 46.31148 46.09827 44.38040 44.51220 41.12426 41.76829 40.68323 39.70149 36.16071 32.35294 30.97983 29.00000 28.27869 26.86170 26.10966 24.93573 24.31762 24.71910 23.67865 22.91667 23.57955 23.04270 24.29245 23.12139 22.87234 22.97297 23.03571 21.61826 20.96413 20.63492 20.02188 19.82648 18.41637 16.91065 16.00587 15.23179 14.70588 14.99683 15.87678 16.96035 17.06813 17.23744 17.27941 16.81633 15.90320 15.45616 14.57766 14.47734 14.16567 14.05109 13.26185 12.93503 11.12426 10.32138 
15.81165 15.99278 16.66667 17.44390 17.98276 18.39718 19.32264 19.51336 18.94802 18.64002 18.80696 19.42699 19.71817 20.94913 21.84300 21.87500 21.22297 20.70209 20.10669 19.37407 19.14785 19.55109 19.90500 20.32045 21.25081 22.12437 23.06000 24.18691 24.26409 23.71134 22.94993 22.99078 23.08743 23.84650 25.56180 26.96970 28.21553 29.11903 28.65402 26.42998 24.75862 23.62146 22.64834 22.21311 22.89449 23.47652 24.77102 26.31094 28.22467 30.10734 32.79503 35.09498 37.08178 40.19316 42.26543 44.85714 47.18750 49.15374 51.58610 50.98684 50.25126 48.97785 46.99399 46.64634 46.22642 46.68675 46.88150 46.34146 46.85315 47.07317 46.05263 45.87500 47.31458 44.51697 43.16354 43.51585 41.59292 42.38806 40.85366 40.33742 38.80597 34.30233 33.05785 29.43548 28.57143 26.39594 24.31762 25.48780 22.19680 22.87946 20.55785 22.15569 20.62738 20.90747 19.89882 20.40134 20.83333 20.90784 19.88247 20.55215 20.27592 19.40133 19.09151 18.58781 18.31791 17.26094 16.07330 15.65789 15.91356 15.70827 15.94037 16.15226 16.01208 16.34016 16.29701 15.92324 15.00514 14.80263 14.24501 14.04110 14.33566 14.14729 14.50980 13.17690 13.19703 12.59446 12.35741 
15.76626 16.53972 16.98821 17.53771 17.97521 18.55895 19.05150 19.19304 18.05769 17.45156 17.61198 18.50235 19.26179 20.77117 21.84821 22.08584 21.61738 21.14073 20.71713 20.04003 19.79048 20.19027 20.65361 21.07623 22.03716 22.72232 23.76238 24.92401 24.79947 24.52086 24.04507 23.65787 23.36123 23.71063 25.05648 26.10390 27.56056 28.79017 28.46258 26.41772 24.98107 23.17715 21.49290 20.53172 21.00196 21.27025 22.29064 23.50309 25.39928 26.77019 29.34891 31.71598 34.55802 38.18263 40.25559 44.53518 47.43590 48.23529 50.43228 47.69939 47.17868 46.66667 45.00000 43.26172 44.30804 44.03579 44.47853 44.94737 46.06127 44.20455 44.93506 45.51630 43.00518 44.00000 41.48649 38.87363 40.22663 41.10169 39.34659 37.32394 35.35620 34.49612 30.38462 28.35821 25.65632 24.59954 24.26637 23.60802 21.51899 20.67901 21.30178 19.48177 20.45028 18.33631 17.98623 18.12816 18.68132 17.55102 18.12144 18.06131 18.19249 17.69547 17.97753 17.54127 16.92978 16.27517 15.79094 15.95252 16.53343 17.48418 16.80851 16.72932 16.05839 14.80447 13.87512 13.96104 13.45094 12.45487 12.93303 12.05036 13.00366 12.78920 12.54826 12.86232 13.05419 12.26994 12.45530 
15.66398 16.51592 16.76167 17.24983 17.62183 17.69926 17.78392 17.62658 16.97968 16.30577 16.69963 18.17763 19.10438 21.05611 22.37073 22.97615 22.78887 22.55581 21.68867 20.69749 20.01237 20.38920 20.82184 21.15129 21.64090 22.17332 22.75957 23.35317 23.65757 23.70266 23.77127 23.69403 23.78099 23.88120 24.05063 23.84868 25.17895 25.99532 25.97635 24.99178 24.18773 21.78423 19.71601 18.49492 18.71658 18.95645 19.74004 21.00211 22.19207 23.79485 25.52083 28.23713 31.63961 36.09069 39.26411 42.58344 45.42151 47.70833 48.58044 45.95960 43.60068 42.06485 40.33264 39.54918 40.86134 41.30435 41.73729 41.52174 42.85714 44.31280 43.20000 43.80165 42.50000 39.25729 39.45946 38.49315 38.71866 35.32609 35.32609 35.08065 33.33333 32.97101 29.62529 27.61693 26.23126 24.12731 24.84848 22.03390 21.34831 20.84112 20.13997 19.67341 19.11765 18.49758 17.31975 16.72269 16.15147 15.98143 15.46861 16.36507 15.84377 15.47464 15.06974 14.99051 14.71664 15.12038 15.44691 15.76803 16.76421 18.24818 17.13483 15.45667 14.25735 12.66150 11.68831 11.20930 10.77788 10.68859 10.09464 10.15348 10.78680 11.02528 10.79295 11.07337 9.94550 9.88142 11.42322