ncols	 127
nrows	  57
xllcorner	-124.81250
yllcorner	45.50000
cellsize	0.06250
NODATA_value	-9999
94.26103 92.93893 91.64144 90.38242 89.25234 87.95508 86.36094 85.49918 84.42578 82.96198 81.44916 79.44406 78.13221 77.51203 77.48551 78.21134 79.29134 80.78677 81.51618 83.32386 83.78468 82.30032 81.01852 81.05609 81.18557 81.62252 82.98429 84.66700 85.69405 88.22865 90.68458 92.32704 93.18548 94.39488 94.36460 93.73727 93.56452 92.94935 92.43176 91.55227 90.28120 88.85983 89.41418 90.33952 91.73387 90.35088 88.51820 87.18229 85.05186 82.86445 81.47448 81.07989 81.30379 81.50470 82.20859 82.54717 82.80229 82.42223 81.99652 79.84330 77.69441 76.77419 77.33860 77.72277 78.37139 79.47274 80.13360 80.25154 79.97090 78.64638 75.74184 72.68330 70.99521 71.92380 72.95302 72.09924 70.76923 66.54545 64.01460 58.56401 55.54415 61.02941 67.80415 72.71293 72.33146 72.07084 73.68421 72.62570 74.78705 76.15955 78.72928 80.40153 81.59393 84.17722 84.12017 83.52273 82.62082 86.78261 87.71552 89.51724 92.79835 94.50549 94.03485 94.96073 94.45145 95.66631 96.04520 96.79700 100.55461 103.51090 106.02410 111.81980 117.06731 118.89447 117.78711 117.86744 112.88867 109.60076 106.18327 103.75901 102.39437 97.56098 95.55331 93.66755 94.96206 97.48053 100.11442 
94.56747 93.78348 92.75921 91.72828 89.96107 87.69175 85.27782 84.32306 83.41484 82.56439 82.38933 81.89137 81.07932 79.99272 78.41191 78.32898 77.77778 78.22940 80.60345 83.96562 85.96386 85.47059 84.16442 84.22951 84.05612 84.65839 85.55688 85.90108 86.66304 88.88312 90.36174 91.69829 92.88591 93.92721 93.58025 92.85714 91.93431 91.25981 89.94083 89.61599 88.50358 87.62180 87.67606 89.10558 90.17637 89.41523 88.12214 87.02703 84.84328 83.04520 82.02247 82.35352 83.01226 83.76518 84.80562 85.74890 86.34152 86.81762 87.25063 84.52545 81.62236 79.47368 79.07895 78.45874 78.88199 79.98737 80.08057 80.77675 81.23630 81.34542 78.29157 75.30894 74.93759 76.42442 77.30627 77.05598 76.12903 75.16234 72.71540 66.82243 65.02836 68.57477 76.49701 78.92157 75.97015 74.17910 74.12869 74.89362 74.02344 74.79079 73.73225 75.93750 77.32794 79.14847 81.22172 80.12422 80.88235 84.26854 86.80203 87.62215 87.61755 87.78802 88.62275 87.50000 84.88858 89.39394 91.13995 93.67284 98.94068 103.33333 107.15726 113.01969 118.41801 117.43917 115.57632 113.44969 109.15948 104.68852 102.65380 102.98165 102.22876 99.35703 95.63275 93.30797 95.90814 98.25718 100.41096 
94.66651 94.53353 93.71673 92.84281 91.26545 88.81119 86.29902 85.32282 84.68369 84.01039 83.89175 83.66365 83.23579 82.42673 81.31165 81.71975 83.23657 84.68645 86.66275 89.08257 90.15674 89.53202 89.29220 88.99465 89.02692 89.09953 88.67801 88.30189 88.93617 90.12739 90.89275 92.00000 92.93286 93.48442 92.99363 91.75772 90.09763 89.12144 88.04348 86.80617 86.47663 86.11940 86.49546 87.46785 88.23603 88.46600 88.44057 88.38552 86.45170 83.99675 83.10703 84.03834 84.71508 85.65678 86.91418 88.39359 89.76648 91.73913 93.54548 90.55819 87.27997 83.76543 81.47287 79.36471 79.98589 80.77277 81.75131 81.59214 83.03571 83.46614 82.20339 80.50193 80.38234 81.70956 82.79115 84.40265 85.91065 86.23482 81.98074 79.45092 76.86117 81.06904 89.65517 88.81789 80.82192 78.38983 73.97260 75.67010 74.33962 76.58643 75.10331 75.15528 76.86047 79.85258 81.78295 84.07572 85.17241 86.38171 88.44660 88.06391 86.02151 83.50515 81.93069 81.87809 79.95246 82.46269 88.64353 92.49249 97.61628 103.23661 106.91372 110.22099 114.42669 112.63736 110.06459 106.44330 102.87129 101.39013 100.44643 101.39766 101.65153 99.69466 96.29823 93.70136 96.58537 99.01813 101.12981 
94.61025 95.16870 94.52214 93.87455 92.67997 90.43810 88.11321 86.91966 86.49974 85.80257 85.86957 85.56240 85.16439 84.79505 84.18859 85.07085 87.71552 90.62675 92.23214 94.30538 94.71808 94.48743 93.63811 92.72152 92.42615 91.28000 91.00467 89.97748 89.68023 89.65398 89.76378 91.13054 90.48013 90.49459 89.43109 88.69258 87.55469 86.65572 86.00000 85.03416 84.33460 83.68529 83.99725 85.09934 85.51884 86.46313 87.42428 87.96471 87.50805 86.84908 86.46368 87.23178 88.04243 88.81139 89.95462 91.09886 92.89629 94.69822 96.31868 93.47582 89.83891 85.48185 81.92835 78.79884 78.37065 78.88838 79.44444 81.13065 82.25233 83.80999 83.55263 83.18928 84.18249 87.46015 89.54821 89.61625 91.00346 92.39569 87.50000 84.92823 83.58634 87.89144 94.68085 94.01198 88.51351 83.00000 81.00775 79.67742 77.14008 76.85590 75.90361 74.90234 77.41935 80.13245 83.80282 85.58282 89.54248 89.80769 91.69884 91.60377 83.88792 79.65404 78.93891 77.25080 76.76056 80.09554 85.39928 91.88544 96.16992 103.32429 105.43906 107.95812 108.86850 105.52326 102.11581 99.17012 98.00598 97.80662 97.74920 98.45758 98.79658 98.34071 96.69327 95.58101 97.91183 100.37230 102.49465 
94.80632 95.33387 94.97671 94.81599 94.32732 93.69582 93.10921 93.03436 93.08166 93.07197 92.29129 91.23094 90.15244 89.98624 89.38239 90.43389 93.35801 96.31491 98.55856 99.05123 100.36642 97.79116 96.48886 93.90983 92.34354 90.89109 89.16804 88.66720 87.41313 87.61029 87.50000 86.54362 85.82090 84.35852 84.31643 84.42917 83.97976 84.26996 83.92998 83.21818 82.33397 81.16427 81.28547 82.57840 83.37264 84.67056 85.95642 86.96898 88.14644 89.56794 90.69165 91.25232 91.64581 92.15892 93.02681 93.53175 94.86239 96.73229 98.10778 94.65866 90.55217 85.51750 80.72363 76.69829 76.01414 75.79416 75.95178 78.15997 80.86643 83.39092 84.10093 85.76860 87.56629 93.09955 95.92953 96.47668 95.87209 95.45455 90.02541 85.16643 85.02538 92.03297 99.19725 98.17232 92.91667 87.61468 86.08108 85.22727 82.68349 78.94737 76.45804 77.67978 79.41176 81.68103 83.42391 89.78389 91.92547 94.00716 92.74047 88.68421 85.20408 80.08186 78.50404 77.04918 76.92878 80.74671 88.87122 93.87255 99.27007 102.57302 104.63320 106.37363 106.47773 104.66472 101.43296 99.51028 97.63736 96.73913 97.27187 97.49164 98.12312 97.98291 97.62611 97.51286 99.58420 101.54004 103.72257 
95.01024 95.35039 95.43493 95.33818 95.32363 95.83101 96.46997 96.96588 97.33735 98.05548 97.43455 96.32974 95.30295 95.29486 94.95500 95.44601 97.39379 99.23869 100.78873 101.42597 101.90039 98.18913 95.89088 92.90210 91.04167 88.22115 86.92462 86.04459 85.02715 84.02062 82.83262 82.06967 81.14004 79.69799 79.18509 79.19403 79.36596 80.31996 80.62954 81.04779 80.07670 79.10448 79.40171 80.42066 81.24177 82.73420 84.74438 86.45526 88.26614 90.57806 92.58545 93.40682 94.09180 94.48189 94.68991 94.68801 94.97307 94.85904 94.36531 90.99971 86.42926 81.86242 78.30068 75.36082 74.40402 74.29226 74.13941 76.61176 79.42387 81.98781 83.89831 86.46568 88.73338 92.90123 95.90164 95.17442 94.45455 92.39766 88.82834 84.68468 85.37005 94.57429 103.01455 103.44418 94.91279 90.51447 89.81233 87.30964 83.45070 81.73554 77.97357 79.46058 82.75109 84.66387 88.16372 92.30056 95.81712 95.44702 94.00000 90.56000 86.45251 82.78388 80.03663 79.66805 79.53258 84.98542 90.19608 97.24613 100.15267 103.72807 106.22568 107.33897 107.61682 103.90836 102.04957 100.32619 98.66667 96.21711 96.02616 96.46884 96.51347 97.03390 97.77210 98.61996 100.33408 101.95342 104.92210 
94.32673 95.99403 95.77384 95.42017 95.52480 96.48320 97.51749 98.13459 98.63081 98.99965 99.15966 99.26312 99.22771 98.67698 98.44741 98.42520 99.11504 99.46869 99.80266 99.61538 99.47303 96.99150 94.22145 90.85014 86.86080 85.13800 82.45734 82.55528 82.13448 80.15521 78.80399 77.26409 75.88778 74.10345 73.79243 73.17597 73.02445 75.33062 77.53278 79.11008 77.79508 77.33485 77.42347 78.28810 79.05129 81.10813 83.27225 85.45800 88.10089 90.90652 93.72410 94.64180 95.71827 95.95032 95.63837 95.33475 94.22596 92.23458 90.23460 86.87351 82.34361 78.69526 76.99758 74.49228 73.65385 73.48518 73.14286 75.11886 78.27287 80.72451 82.32495 85.46975 88.32309 91.11675 93.63271 92.19381 90.68047 89.07186 86.32653 84.27948 86.07908 95.49763 106.47059 106.62921 101.68067 91.15854 92.29765 88.16794 87.59124 82.25389 81.99052 85.66667 84.88372 88.77551 91.93246 94.56311 99.80000 99.09584 96.52406 93.61345 89.42428 86.41618 84.93902 85.64168 86.04027 90.48362 96.77419 101.23340 103.98981 107.44681 109.40594 110.83455 111.31105 107.39400 106.86567 103.35277 100.73710 99.24433 98.84000 98.81741 98.21429 98.63861 99.20000 100.96525 102.72480 105.41401 107.89696 
92.41890 95.27928 95.29684 95.41600 95.59721 97.13801 98.61735 99.42655 99.26122 98.96742 99.30022 99.66531 99.94998 100.40034 100.69041 101.17499 101.42436 101.59847 101.28062 101.21065 100.59222 98.28641 95.83055 93.05655 89.43966 86.25181 84.16784 82.87865 82.61456 80.76596 79.29293 76.94467 75.22422 71.67630 70.89655 70.40169 70.22472 72.81065 75.87885 77.66423 76.87046 76.15611 76.43572 77.52722 78.42504 79.86242 81.57065 83.16883 84.89362 86.58029 88.04061 89.59251 90.63598 91.30175 91.47135 91.54630 89.75864 87.53112 85.46336 82.47934 79.12837 76.99338 76.54781 76.00068 76.42544 76.95224 77.87332 79.06206 80.06663 81.76813 84.55189 87.13592 88.19978 88.78719 89.15441 87.80774 85.22388 84.51456 84.41781 84.34705 87.50000 92.89941 108.59951 109.00277 102.34375 96.44886 95.90164 91.62304 91.11111 89.19240 85.96112 88.12500 90.39813 96.04651 95.85308 99.49393 101.33197 100.63521 98.69110 95.34314 92.66055 91.02564 91.79775 94.01973 94.84127 97.24771 104.30580 107.15613 108.57843 109.45724 112.57143 115.79341 114.96063 112.24066 109.38716 106.60646 103.75303 102.00000 100.94572 100.56180 101.13974 101.69492 102.10238 103.46795 106.15463 109.40000 112.01657 
87.65586 90.13442 91.89252 94.06730 95.73171 98.28987 100.62818 101.48949 99.97621 98.49456 98.35871 98.73489 99.09515 100.60644 102.11311 103.41451 103.52478 103.67047 103.48875 102.39362 101.90840 99.68856 97.64930 94.31579 91.46868 88.19188 85.67273 84.39024 83.47339 81.51596 79.26186 77.35294 72.96984 70.32186 68.05158 67.51663 67.01681 70.60127 73.53793 75.62500 75.05752 74.32689 74.51964 75.78782 76.43065 77.78665 78.61123 79.71110 80.25794 80.47977 81.31715 82.89892 84.08420 85.09288 85.57498 86.19490 84.89898 83.48060 82.02051 79.91049 77.75384 76.05470 76.02655 75.81885 76.64114 78.76477 80.40712 81.04449 81.06407 83.87097 85.18836 90.46823 89.65969 87.71067 84.52566 82.20339 81.17783 79.64363 82.89963 82.77778 85.32934 93.06931 105.98086 103.68421 101.86567 101.62602 96.87500 94.30233 90.14989 91.16424 90.59501 91.16541 97.10468 99.32886 99.88532 105.24752 103.71820 104.35897 103.64078 98.87387 96.91860 93.69565 96.77966 100.30713 104.25101 106.80751 109.10683 111.32597 112.70096 114.14791 116.95958 118.52433 119.16549 115.19303 111.42534 110.13072 107.54141 105.52632 105.31915 105.90349 106.81115 106.00166 107.60956 107.09382 108.85036 110.26549 112.82468 
83.75995 85.85311 88.20675 90.66882 93.06207 95.81333 98.70466 100.35554 99.93464 99.75701 100.21677 100.41933 100.81817 102.17286 103.72191 105.26623 106.49394 108.09075 109.32203 109.98906 110.06438 108.81788 106.64945 103.30223 98.04428 93.93593 90.42879 86.84211 83.54592 79.90276 76.28713 73.65439 69.89247 67.02218 65.61743 66.67927 66.72585 68.88454 71.56020 72.79122 71.62450 71.15436 71.36289 72.51449 73.39238 74.20993 75.37730 76.45421 75.94348 75.50143 74.80689 75.18198 75.21869 76.26504 77.87892 79.02412 79.51087 80.09161 80.40922 79.25994 78.06526 76.60877 75.00000 73.13590 74.49280 76.67984 79.53896 80.88670 81.72257 83.62593 87.50000 92.37805 92.27441 88.65188 84.38134 82.21154 79.60813 79.27322 79.19762 81.02710 84.28571 90.12346 101.92308 102.36220 104.23729 103.31325 101.46727 99.49084 96.58887 96.20536 97.28916 100.29762 102.53940 104.18149 107.52577 111.05033 110.59603 109.68586 109.04523 106.43087 102.97265 100.17123 104.45980 107.79221 110.00000 111.95159 114.60768 113.84083 116.46859 114.46701 118.68045 118.88519 120.50691 118.54305 114.66431 113.47439 111.93624 109.46062 110.42403 110.15707 111.29032 111.04803 111.44426 111.41348 112.58470 113.10634 113.77551 
83.78488 84.53608 85.33609 85.69815 86.16386 88.72656 91.33512 94.44033 98.65506 103.20413 104.72741 105.01489 104.64927 105.64671 106.21687 106.95894 109.58107 112.69642 115.21507 116.40385 117.86032 116.92308 114.26211 110.35113 105.66540 99.64539 93.96795 88.37209 83.03003 78.87139 74.70588 69.62475 67.71429 65.42934 64.23174 65.85748 66.93727 68.50716 70.04519 70.77883 70.50251 69.47786 69.47406 71.09669 72.12349 73.36432 74.93776 76.65172 76.31380 75.57707 74.49042 72.55501 70.63891 70.72577 72.33685 73.17868 74.81387 76.38313 77.83962 77.65270 77.30015 76.91202 75.43296 73.85458 74.31092 76.02612 77.47766 78.45528 80.27864 81.72043 85.01199 90.44421 92.15190 89.20145 83.96861 81.31524 77.82462 74.88263 76.90355 77.74295 81.65584 89.13043 97.81022 101.05541 102.10084 104.50581 102.02128 100.00000 100.91060 100.30120 101.59574 104.37828 106.45161 110.00000 114.36464 114.74609 116.56627 115.35370 114.15241 112.55708 108.24742 106.44068 109.73783 113.00872 116.69342 116.38973 120.26578 118.71795 119.21141 116.61102 117.69547 117.89474 119.30147 119.95885 117.24760 117.00337 115.26807 113.77513 114.54545 115.70881 116.68865 115.20681 115.19685 115.61069 115.29774 116.15461 115.95064 
85.63841 86.52881 86.89173 86.15323 85.46946 86.53073 87.93789 89.74057 93.78181 97.72414 100.12944 101.35424 102.84574 104.11581 105.47824 106.94315 110.01016 113.30935 115.64551 117.05479 118.86983 117.38537 115.02941 112.86058 107.98841 102.30769 96.23377 90.35680 84.35115 78.62385 73.64865 68.32797 67.56018 66.00610 64.21801 66.07606 65.48780 67.41573 69.02346 70.44263 69.92958 69.68599 70.10363 71.05590 72.17182 74.12248 76.40371 79.09160 79.48415 79.79271 79.56998 75.40087 70.97929 68.28168 67.64324 67.18892 69.67007 72.34643 74.55258 75.25431 76.11905 76.98694 76.96961 77.09815 76.12186 74.77498 72.28178 73.48901 75.24534 77.23577 81.41361 85.38269 86.76692 88.30189 87.32171 81.04508 77.57576 74.08124 75.25126 77.81690 80.21327 86.98630 94.55882 98.13953 103.09406 103.46535 102.06612 102.72277 105.88235 106.10390 107.24138 108.72483 111.58940 114.52328 118.33648 121.97581 121.14990 120.52239 120.34672 119.04332 115.11628 114.14365 115.82880 117.89474 120.39801 119.86301 123.06867 120.08734 117.44403 115.67718 116.69596 116.09294 116.72794 118.58974 119.43734 119.13507 118.68512 116.25270 116.64773 119.57364 119.58556 118.55713 118.23770 117.85714 117.60949 117.23077 116.12595 
88.33143 89.93889 89.73339 88.36074 87.11772 86.77795 86.49609 86.66059 88.11904 89.52651 92.00337 94.83200 98.21429 100.46931 102.31016 104.92600 108.71314 111.57172 114.41272 115.94478 117.16418 116.47521 114.98092 112.62626 109.24479 103.81883 98.46985 91.21320 84.89066 78.76490 74.35367 70.25819 68.77153 67.49735 67.41071 67.05151 67.96482 69.03846 69.56522 69.54976 70.96939 70.43126 71.17385 72.48481 72.94939 74.76266 76.59325 78.18115 79.26083 80.49645 81.31437 78.25315 74.80545 70.86614 67.90458 65.65948 66.82306 68.68167 69.86675 71.50374 73.54071 75.13796 76.69916 78.84817 79.26065 78.39239 77.00634 76.40364 74.97297 74.79191 75.54439 76.70596 78.38129 80.68571 82.83898 78.58198 74.34077 73.70062 75.06964 77.41935 80.89431 86.47416 92.85714 99.67213 101.12782 104.81481 104.39093 104.15584 105.26316 109.10138 113.19797 114.44175 114.33566 119.63048 122.98851 125.60000 128.03644 125.68556 125.40541 122.72727 118.51041 118.86062 119.95968 123.55126 123.07074 122.18045 122.70876 119.63190 115.54404 112.56410 115.00000 115.04202 116.47727 117.39130 120.10652 121.31450 118.96149 119.25602 120.77151 119.75117 121.11650 120.40201 119.57831 117.99611 117.43516 115.77982 113.93229 
89.95294 92.54872 93.81410 93.04835 92.87472 92.10980 91.39352 90.50770 90.99237 91.67104 92.63804 93.09685 94.11187 95.20328 96.79012 98.51552 102.35479 105.32095 107.95042 109.03578 109.73111 110.04003 108.80330 108.25688 105.29197 100.59908 97.07521 90.54428 83.78562 79.56081 76.00217 72.87344 72.40044 72.15385 71.85714 72.25806 70.95400 70.45986 69.36115 69.32021 70.87827 72.08122 72.92010 74.31408 75.29374 75.78904 76.19461 76.38376 78.23113 80.11853 81.74840 80.27842 78.48595 74.74558 69.91099 65.51065 64.51376 64.43630 64.64188 67.38822 70.54283 73.36807 76.05998 80.03796 82.46703 84.10540 85.97973 81.63934 76.77612 72.16561 69.50254 67.52907 69.09269 74.37500 78.37079 75.66096 72.87695 71.86916 75.32468 76.03627 81.57895 86.00000 96.51899 98.60335 104.16667 106.65761 108.92857 111.11111 112.21591 112.05479 117.72959 119.94609 123.65729 123.17961 126.55602 128.22086 127.73279 128.13187 129.23913 124.69304 122.35772 120.89041 122.23926 123.50993 123.16434 125.28090 123.53516 121.25000 117.33871 115.45093 117.19577 117.90909 120.50817 119.53938 120.42553 120.61118 119.73180 119.45107 121.36929 122.53219 121.89490 118.89251 118.70101 114.96711 112.83988 111.17647 109.60452 
90.57263 94.59987 96.86149 96.93215 97.06669 96.38780 95.43507 94.19760 93.97786 93.91156 93.31751 92.72271 91.70124 91.71463 91.88140 91.12150 92.47449 94.57404 96.51422 97.16232 97.01220 97.26688 97.43126 96.79003 95.36785 91.71271 89.64386 85.31856 79.34337 76.60000 75.49342 74.28884 74.12910 74.97262 75.35861 75.48263 74.39678 73.46437 73.03719 72.85632 73.59727 74.29379 75.08511 76.14234 77.23374 77.05595 76.69370 76.22680 77.94756 79.72222 81.03190 81.05882 80.93464 78.86832 74.84896 70.77761 68.32432 66.43653 65.15957 67.38971 70.02587 73.04102 76.21185 81.06007 83.13808 85.05253 86.99041 85.65574 82.50336 78.46386 73.88535 70.31603 70.35176 71.45499 73.75178 73.87460 73.89706 74.72527 73.53723 78.28571 78.77907 88.52740 94.36620 100.17422 104.37500 108.61538 110.49180 111.87500 114.92537 116.16438 120.49608 121.72330 122.96073 128.90173 127.80374 130.06757 127.75378 128.52113 126.35747 126.02273 124.56522 124.11504 123.67150 124.36548 124.73776 124.85030 124.17279 122.98748 121.36646 120.30675 123.01980 120.15306 121.10727 121.54532 119.43231 120.16129 120.92715 118.90394 120.63712 121.65738 121.67382 116.63090 114.11699 110.40724 107.32379 102.97941 102.88462 
90.23871 94.20322 96.89454 98.26375 99.46592 99.95111 99.47193 99.04175 98.24841 96.91289 95.50962 94.15456 92.24218 90.47440 88.84340 86.52616 86.12173 85.46724 84.78507 84.65793 84.46779 84.29215 84.06847 84.31022 82.27633 79.85948 78.05755 75.00000 73.70572 72.02381 73.80952 73.99347 75.23220 76.76768 78.18471 77.16418 77.41187 77.26098 76.71781 76.58582 76.51083 76.58915 77.26629 78.01530 79.36476 78.76851 77.14724 76.29067 77.70719 78.95771 80.03544 80.93014 81.58898 80.75641 77.71064 74.76309 71.91590 68.99536 66.79900 68.80477 70.92208 73.43351 77.48969 82.34201 84.77752 86.37275 88.33965 88.61538 87.81973 84.66387 79.12125 73.80240 72.49379 72.16925 71.74497 74.77064 75.53191 77.82258 77.94521 77.02703 83.76206 83.88889 92.02335 99.61538 102.57732 111.94539 109.12409 113.60424 114.79592 119.34426 122.84345 122.11538 127.06422 128.63248 126.86424 127.12014 128.69270 129.48718 129.77839 127.37154 124.70356 125.75453 124.85207 125.45639 126.22449 127.97619 127.63672 128.85274 127.22772 125.85089 125.13089 126.22951 124.02235 122.57319 121.62791 119.33140 118.55204 118.58974 120.41284 121.53502 121.33333 118.29787 117.54860 112.66447 107.71574 104.37693 100.77882 
89.85714 93.18484 96.10322 98.44440 100.62028 101.63887 101.90256 102.45365 100.87898 99.39240 97.51442 95.34271 93.20234 91.00640 89.09113 86.82322 85.30617 83.43863 81.05710 80.88915 80.09138 79.60622 79.25072 78.47594 75.94178 72.37049 67.29819 64.19903 59.95086 59.34426 61.21622 63.57527 67.07531 70.59701 72.76657 73.78855 75.14523 75.39185 75.61905 76.09874 76.39734 76.47585 76.97548 79.04509 80.12972 80.12109 79.15875 78.41719 77.95213 77.43781 77.24402 78.31103 79.15531 79.12665 77.91463 77.11179 76.22612 75.27668 74.39446 75.64650 76.87570 78.71940 81.42617 84.06145 86.27082 88.64713 90.33122 89.80681 88.65248 87.39698 85.30335 82.50605 80.00000 82.51534 82.82353 80.44554 82.58427 83.47368 83.11170 83.08824 83.85580 87.50000 89.27273 97.00704 101.90311 105.05051 105.12367 110.82474 112.91946 114.49045 115.01548 119.93243 123.77049 126.45161 124.79564 126.34271 126.46341 126.47059 128.88283 123.60595 123.61111 126.00897 129.64602 129.03587 129.95595 130.64854 130.93306 131.02564 129.15309 128.59504 128.98936 127.32240 125.97403 123.04147 119.75117 117.45562 117.85714 117.19457 118.65204 119.21365 119.84241 118.81827 117.65276 113.50148 108.38740 103.52046 101.44135 
88.71879 91.38044 93.86938 96.94222 99.62360 101.58209 102.94899 104.20896 103.01858 101.30975 99.51021 96.66131 94.00084 91.83301 90.00858 87.94940 85.89513 83.23757 80.08584 79.45531 78.51911 77.91577 77.26782 76.23017 72.11708 67.02454 60.96838 56.82268 51.53270 51.27029 54.22365 57.58078 61.62500 64.84150 67.98287 70.16919 72.08511 72.84202 73.44689 73.86581 74.60317 75.20609 75.79895 77.67475 79.10448 79.57746 78.87380 78.51526 76.93142 75.61834 74.88368 75.77645 76.65020 77.05311 76.88885 76.91445 77.31566 78.34258 79.41240 80.31874 81.74627 82.96080 84.41589 86.06870 87.22892 88.85500 90.34003 89.84745 88.95176 87.80654 86.94737 87.03008 87.71676 87.74617 88.16794 87.90323 87.72455 87.08972 86.57534 87.38739 85.62500 90.07220 91.72932 96.02888 101.07527 103.83275 107.01107 106.51408 111.45833 111.09272 112.21865 114.51613 120.17857 122.12544 121.96262 123.88724 123.93162 125.73770 123.83178 124.03846 124.36709 125.47569 128.46715 132.42574 129.83294 134.71338 132.59109 132.72059 130.01761 128.09278 129.47368 128.20285 124.73214 121.50883 118.40000 116.66667 114.57704 113.57039 116.32653 116.77266 115.96517 117.15426 117.32673 114.28571 110.51136 107.04754 104.42359 
87.24687 89.56453 91.82784 95.46926 98.34634 100.95117 103.01499 105.01022 104.43448 103.36319 101.91360 98.42732 95.38813 92.88251 91.19628 89.57068 88.91637 88.70127 88.15873 87.20000 86.37892 85.13570 83.56994 81.71589 76.49770 68.70670 60.83123 58.36237 54.54545 53.71134 57.65306 61.78829 63.71499 65.31350 66.43836 67.55205 67.78243 69.07806 68.83024 69.83051 71.14662 71.16564 71.86441 73.08271 73.82795 74.33414 74.02883 74.36306 73.63609 72.61905 72.25924 72.73123 73.01871 73.34368 73.40566 73.48304 75.34298 77.92969 80.73405 82.24232 84.22959 85.71900 86.67750 87.14214 87.75568 88.05837 88.07006 87.29024 85.15936 85.71429 85.82402 87.10334 89.00000 94.00000 95.52716 94.43038 96.76966 92.66467 92.43421 91.32653 90.81272 91.51292 91.53846 98.64865 101.94553 104.18251 108.23529 112.16730 111.21324 111.83206 111.89591 116.82243 116.31098 116.81416 116.71388 119.00826 119.78610 121.01064 119.20103 121.87500 124.02597 124.02089 126.47783 127.43142 127.56098 128.04054 127.60870 126.92308 123.58491 123.19778 123.69942 120.79304 119.36416 117.75862 115.27304 112.83113 112.31527 111.55660 112.52285 111.52542 115.00000 115.46667 116.29032 114.23611 111.30137 108.30101 105.82848 
85.63017 87.33048 88.82353 93.17073 96.83819 100.27456 102.80112 105.16339 105.56044 105.09443 104.60058 100.24596 96.46884 93.72264 92.11387 90.70258 90.94041 91.84878 92.51948 91.65565 90.48595 89.21505 87.47585 85.36673 80.34104 73.18668 65.29605 63.74474 62.38751 62.36462 66.09272 70.88753 71.89781 70.77662 69.82055 69.78629 68.30065 67.72640 68.25221 68.80194 68.36735 68.27889 68.09745 68.63306 69.02718 68.81378 69.07588 68.86898 68.91283 68.97006 69.09789 70.02817 70.74326 70.98755 70.53305 69.62676 71.69931 74.33388 76.85542 78.32794 80.02592 81.92689 82.53558 84.43580 84.33617 84.93889 84.92462 83.51310 81.45161 82.35808 84.09648 87.01117 91.19256 96.75926 100.00000 97.52907 98.89241 95.39474 94.79167 93.75000 91.72535 96.32353 94.44444 97.95539 101.87970 100.36900 106.53846 110.56604 110.21898 114.36782 113.50365 117.63804 117.65579 116.95652 116.62011 116.84783 116.40000 118.47826 119.35484 120.49180 121.31148 124.15730 124.20635 125.20216 124.00531 122.22222 119.25837 121.01770 118.26923 116.98113 116.66667 114.14687 114.19355 113.07847 110.89109 112.13504 111.46209 110.41308 111.21212 111.19545 113.64393 112.81768 113.90000 111.95952 110.37400 107.92079 105.82386 
85.49351 86.20304 87.38414 91.50763 94.84707 98.55890 101.91257 105.21277 106.07477 106.15282 105.99090 101.92758 98.22115 95.14228 92.90364 91.07549 91.27672 92.51772 93.70847 93.26484 92.93584 92.06888 91.21870 90.18248 87.37961 82.47137 76.67079 77.03557 77.48145 78.44262 82.39762 86.23131 85.64103 83.24324 80.18934 77.16863 74.10345 70.54931 69.50105 68.84817 67.07831 66.45102 65.59109 64.93776 64.73407 64.12441 63.24558 62.99796 63.85707 65.18595 66.27323 67.84129 69.52074 69.55915 67.32119 64.96394 65.82489 67.62599 69.04541 70.36299 71.90375 73.50345 75.45018 78.22878 80.05894 79.45109 79.46188 78.98604 78.38155 80.00000 83.71134 86.14865 88.86010 92.55618 101.19454 97.39414 100.87413 92.56055 96.66667 93.61702 94.30605 94.88636 99.23664 99.43182 100.76046 104.38931 107.16981 105.63636 110.00000 111.48410 118.98955 115.81633 122.74247 121.63462 122.25914 121.63462 122.59615 122.75449 125.45181 118.50394 123.18059 121.52589 122.30769 121.48438 121.50259 117.88321 117.06731 118.55204 116.88742 115.46053 116.42857 113.15789 112.12121 112.69531 109.88372 112.42038 111.52220 110.72874 108.75706 109.30962 108.89908 111.50000 109.96622 109.56790 107.18475 105.10204 103.78486 
85.73731 85.92965 86.25439 89.45381 92.63084 95.92039 100.54519 104.48895 106.57273 106.49252 106.82003 103.40499 99.89229 96.82235 94.19351 91.96696 92.11048 93.41684 94.83880 94.77915 94.70393 94.80560 94.02609 93.00902 91.37931 88.65825 85.23756 86.71191 89.31531 91.88413 94.27313 96.93114 95.45455 91.49771 86.78082 82.85124 78.94191 75.72586 72.81903 71.12534 68.43575 65.66339 63.72939 63.47687 63.01438 62.74900 61.83132 61.01292 61.98972 62.97420 63.74525 66.06005 68.34061 68.66359 66.56915 63.98185 63.56603 63.75533 64.20588 65.75771 67.80973 69.76810 71.81440 74.80743 76.97406 78.37545 81.81368 81.17398 79.46903 80.87097 83.45808 87.02229 89.41799 94.23077 96.19565 94.48669 95.60000 95.78313 94.46640 94.82759 95.62738 93.65672 97.01493 100.74349 101.47601 103.49265 106.47059 110.21505 112.93706 113.76307 119.07216 121.93878 122.56494 127.40385 125.71885 127.88462 129.04762 125.44118 128.10651 124.41558 125.98945 123.80319 124.06948 120.85427 118.65672 116.31206 114.58824 113.47439 114.38053 113.57616 113.44969 112.09016 109.81405 109.40000 108.06452 108.46325 110.00000 111.06195 110.00000 110.11905 108.54271 107.23982 107.98319 104.21687 102.13675 101.53631 101.32128 
85.76306 85.70198 85.48029 87.83255 90.21073 93.01978 97.87898 102.30799 104.52040 105.92561 106.69546 104.30870 101.49569 99.05835 96.45040 94.05486 94.03352 95.25674 96.36795 96.84571 97.19512 97.20469 96.60649 95.50245 94.73410 94.26969 93.26286 96.48760 100.59646 104.81481 104.71807 105.06711 101.65198 97.29551 91.67827 87.96552 84.32203 81.18393 77.58621 74.45652 69.53488 65.52050 62.34067 62.37360 62.00608 61.32972 61.18236 60.53091 60.80654 61.04725 61.38196 64.15380 66.93548 67.79771 66.14949 64.07045 62.25975 60.81671 59.68914 62.25945 64.79903 67.10381 69.22174 72.17391 75.59122 80.11070 85.67568 85.18065 84.18142 83.48548 87.64151 89.76608 92.68041 93.46290 95.55556 94.25287 90.22989 91.27907 91.76471 92.61364 92.85714 95.40230 95.45455 101.49254 98.73646 103.61011 110.34483 111.69811 115.92742 122.28916 126.18110 127.29008 129.12088 130.35714 130.58252 129.93730 128.37838 130.11869 130.49853 130.80110 127.24796 125.81522 120.58824 119.02314 118.87755 119.23077 115.69620 118.88889 117.27941 115.53398 112.06897 111.42241 109.80176 107.94702 107.97753 105.97015 105.28017 104.89362 103.75723 102.41636 101.87166 102.38880 101.48936 100.92437 98.65186 98.67084 97.59503 
85.24316 85.24735 84.91158 86.55667 88.28564 90.41032 95.40069 99.60183 102.51124 104.52151 105.96338 104.79749 103.30138 101.54815 99.49226 97.37819 96.89905 97.24356 97.62082 98.01629 98.30291 98.58380 98.57796 98.50431 99.18133 100.90090 102.47004 105.60313 109.57278 112.38876 111.06719 108.39525 103.13002 96.64740 89.33979 85.59322 82.28374 80.02114 77.23077 74.72284 71.06339 67.14791 63.82004 61.58957 60.38607 58.56333 57.78302 56.92792 56.55977 56.30477 56.33478 59.22894 61.95985 63.35733 63.37608 63.58230 62.43761 61.01275 60.01902 63.27832 67.10032 69.74992 71.29831 73.20351 76.48305 81.36574 90.05780 88.83792 89.41019 89.79100 92.69871 95.63953 98.03536 100.00000 100.33557 102.62097 97.05882 96.42857 95.88235 99.80237 101.78571 101.23457 100.20161 104.81928 103.11284 110.70039 111.76471 115.00000 120.04132 125.00000 127.29008 130.68182 131.06618 130.60498 133.67347 133.16832 129.55272 130.45455 132.63473 128.49315 129.67480 126.80965 123.87500 120.00000 120.51630 120.13514 118.28087 117.60563 118.18182 116.35945 114.06571 113.62705 112.76151 110.69182 107.39958 104.87078 102.40964 100.29762 97.98903 96.01064 96.87500 98.21429 96.22356 96.01990 95.60094 96.04542 95.94488 
84.34972 84.46558 84.68640 85.90782 87.38390 89.08735 93.57109 97.45030 100.39466 102.37348 104.21585 104.68525 104.73282 104.62173 103.01363 101.33254 100.11595 99.45652 98.84266 98.67957 98.88316 99.14017 100.20450 101.62302 104.07699 107.69231 112.79070 115.47859 118.39034 119.67059 114.92729 109.60821 102.77916 94.85608 85.91667 83.05233 80.31189 77.51835 76.01927 75.39797 71.44289 68.89081 65.07102 62.05165 59.24949 57.08487 55.09567 53.70109 52.64258 52.19845 51.88569 54.93686 57.72961 59.64523 60.95890 62.52228 62.29016 61.23163 60.34107 64.18663 68.26820 71.40309 72.94118 74.52295 77.14754 82.06676 89.54832 90.32882 91.57609 91.73913 93.78882 98.28767 100.78475 100.36496 101.04167 104.48980 106.40000 103.95257 105.95238 106.25000 101.60000 102.28216 104.37500 107.40741 108.80000 110.71429 115.02146 119.52790 128.91304 126.78571 129.13386 135.80000 134.63035 132.58427 133.27402 133.56401 133.88158 132.16561 129.84615 130.83832 127.37752 126.06232 126.01626 124.00531 122.81167 124.20213 120.28796 120.74074 118.78049 117.71845 112.63048 113.25678 109.64215 106.32411 106.10000 102.54403 100.98814 99.60630 96.15385 97.15909 95.37815 95.84000 96.78899 94.43672 95.66088 95.36290 94.25837 
83.66274 83.87995 84.48691 85.28892 86.56171 87.69128 91.75636 95.02019 97.79011 99.98983 101.81075 103.22672 104.22297 105.29770 104.25116 103.23495 102.28013 101.37720 100.49062 100.50642 100.91620 101.30097 103.35841 105.46169 108.16936 111.63227 116.66199 118.12940 118.84515 118.74206 112.28245 105.73248 98.33055 91.00486 83.86555 80.97731 78.63636 76.67112 76.41921 75.66499 72.27425 70.13847 66.70324 64.32836 61.51287 58.79518 55.83626 53.24739 51.77665 50.98128 50.14955 52.72380 54.85169 56.82017 58.57516 60.47251 61.05364 60.85737 61.07354 64.55224 68.26893 71.09923 72.82843 75.23246 76.96717 80.12912 84.13174 84.25309 85.29412 87.43316 89.38849 87.50000 92.76316 100.63291 98.60000 104.00000 110.00000 115.26718 108.92857 116.13636 114.09091 113.69863 115.45455 111.13744 113.67925 120.37915 121.94570 126.01810 127.67857 127.12551 128.88446 129.80000 129.06977 130.98859 131.41264 129.60289 132.04698 134.59016 131.81818 130.24316 130.08850 129.10663 129.08309 126.46240 125.81081 121.44737 122.23684 120.77465 118.81068 118.50962 112.83368 110.12146 110.34816 106.28571 106.78776 103.37079 101.67598 99.81550 97.36842 97.04301 97.54902 94.95342 95.11278 94.66759 93.36870 93.98649 93.58824 
83.66045 83.92209 84.35593 84.82972 85.54038 86.15385 89.48598 92.34875 94.45304 96.63839 98.51142 100.63542 102.64264 104.55348 104.34286 104.25681 103.88218 103.16687 102.34939 102.57367 103.22514 103.95578 106.42871 109.41558 112.01465 115.05514 118.56106 119.76150 118.92361 115.95381 109.44940 101.79128 94.58805 88.55359 82.29780 80.21643 77.73342 76.08696 75.56936 74.41860 71.87097 69.61471 67.24879 64.86158 62.59195 60.28202 56.15043 52.72600 50.89728 49.66315 48.54634 50.89613 52.86323 54.60094 56.53925 58.67893 59.61264 59.82633 60.61947 63.78238 67.13523 69.78022 72.33029 75.04513 76.72552 77.98197 79.57371 79.36378 80.03229 79.83425 81.10599 81.69811 84.61538 93.12500 101.29870 106.89655 116.66667 119.64286 117.36111 123.27189 122.24771 118.86364 115.54054 119.17476 119.51220 120.63107 123.58491 123.95349 128.05430 131.99153 132.09877 132.15768 127.68924 130.63241 129.65116 128.65169 133.45070 132.42321 131.72757 129.24528 132.19814 133.58434 131.21302 131.06936 129.53890 126.05042 123.36066 120.02370 119.41860 119.05286 115.02146 112.65823 110.11561 107.95455 107.12946 104.54545 103.32136 101.11301 101.88356 98.65546 98.44262 96.33758 95.58140 94.36039 93.40000 94.28238 92.13287 
84.97099 85.25053 85.56701 85.65492 85.79436 85.96112 87.99034 90.47681 92.53239 94.72009 96.68833 98.83934 100.50310 102.40175 102.99201 103.36735 103.67316 103.57668 103.36377 104.13443 105.26939 106.34677 108.28313 110.24432 112.43691 113.68669 115.06256 114.35449 112.48499 109.10487 103.37243 96.58055 91.32253 87.03600 83.26578 81.24629 79.20951 77.06840 74.35978 71.92875 69.57285 68.32192 66.50641 64.72778 63.66525 60.84888 56.04873 52.26205 49.96693 48.57789 47.32405 49.34783 51.39510 53.12272 54.77893 56.68246 57.51162 58.03369 58.82109 61.18265 63.81225 66.77518 69.86864 73.04943 74.71873 76.16788 76.72773 75.31083 72.12343 69.54887 71.10927 72.06823 75.20325 82.14286 88.88889 111.13744 121.83099 127.35426 126.93966 132.84519 126.97368 127.29258 122.41379 123.48485 125.38860 124.21875 123.89163 128.75000 126.38889 130.76923 131.93833 131.93833 131.35593 126.82927 132.05128 129.04564 132.05575 128.28283 130.16393 129.87013 132.16561 132.71028 135.58559 131.54070 128.53403 125.95420 123.32506 124.14966 122.18543 116.38298 115.58442 113.42495 110.95618 109.82490 107.75862 105.15098 105.09666 100.95969 100.57143 99.18831 96.97933 96.78683 95.00000 94.48980 94.48138 93.17406 93.02587 
87.03634 87.63716 88.10203 88.11092 86.88607 85.75806 87.14847 89.08988 90.75697 92.92264 95.26351 96.92126 98.56181 99.88993 101.26582 102.24904 103.26087 103.78174 104.16443 105.15267 106.57020 108.05022 108.99758 110.41364 110.98901 110.84044 110.32213 108.43488 106.44003 102.65082 98.47793 93.56358 89.34555 86.39002 83.67164 81.20073 79.90228 77.89093 73.61024 70.27523 67.88428 66.20690 64.84258 63.29545 61.92225 59.52103 54.36097 50.38353 48.14556 46.48383 45.02075 46.55361 48.21319 49.77825 50.78612 52.19453 52.98485 53.90808 55.14370 57.64925 60.45558 63.45291 67.11840 70.76205 72.47517 75.10841 74.97700 72.52698 70.84942 70.00000 69.12752 69.38611 74.80315 80.00000 91.58416 104.91071 113.98104 126.07656 126.72811 131.02679 129.56522 125.00000 131.13636 121.50259 122.60638 122.60638 131.67539 130.82902 131.49038 133.09859 133.78378 132.00000 132.40343 130.62500 134.69828 129.66805 132.86713 131.95876 128.47682 133.22259 132.52427 132.42812 133.28221 133.83686 128.86179 126.78100 125.76923 124.47796 122.12190 120.56893 116.92308 116.12903 113.47305 111.04651 110.85714 105.23364 103.94495 102.54237 99.35662 97.73960 96.50000 96.05911 95.31002 93.77778 93.87608 92.44645 91.17647 
89.35185 89.86410 89.64246 89.39993 88.11347 86.91841 87.54789 88.71841 89.98295 92.40407 94.79039 96.59439 97.98635 99.37430 100.32366 101.34727 102.03551 102.53151 103.01999 103.95566 104.66409 106.07267 106.36022 106.55111 106.44351 105.08672 103.94835 102.32558 100.91984 98.79433 95.18538 91.81240 89.26230 87.08260 84.97880 82.56881 79.68654 76.44905 72.67119 69.37236 65.73487 64.27799 61.83206 60.50070 58.52029 56.44811 51.81840 47.59410 45.04332 43.00571 41.21935 42.11131 43.27666 44.22468 44.75754 45.48898 46.32224 47.48736 49.35737 51.97368 55.31136 59.17077 62.33816 65.11628 69.11765 72.29147 73.33966 72.49322 71.17040 70.09760 68.48485 67.60722 73.25103 81.21693 92.02733 99.02724 107.63889 114.49275 121.22905 125.40107 127.61628 124.58564 127.47253 124.60317 129.45946 134.06593 133.24176 132.25806 137.12121 136.23188 139.30233 136.00000 138.57759 133.60656 134.48980 137.95181 136.66667 134.47653 135.94306 135.36184 134.95146 134.34505 135.25836 133.98204 129.58333 128.90411 124.80211 124.62871 125.18160 122.67699 120.53191 114.67611 115.23109 112.60081 110.29412 106.46067 104.47080 103.31492 99.55357 97.81086 96.27119 95.14331 93.91371 94.13043 94.05594 92.88026 91.64959 
92.48210 92.08171 91.52704 90.39747 88.90693 87.60534 87.91597 88.67412 89.35088 92.10014 94.27124 96.06211 97.70433 98.91304 99.92857 100.70963 101.13395 101.43357 101.55801 101.79803 102.60917 102.91667 103.10409 102.58380 101.74888 99.82481 98.18147 96.55386 95.48856 93.96307 92.44728 90.45307 88.46154 86.11772 82.72395 79.21723 76.80539 73.61279 70.36395 67.58737 64.81382 62.18905 60.06764 58.33719 57.04911 55.34483 51.36170 47.98578 45.08006 42.20936 39.50533 38.61235 37.76107 37.62136 38.08538 38.52371 39.98536 41.47561 43.65036 46.22931 49.04695 52.43309 56.27341 60.76040 64.62011 69.48399 74.67652 79.24528 81.50000 82.12121 80.41958 79.29515 84.02062 89.69555 96.02273 102.34043 115.52632 121.62921 118.33333 126.25698 122.11538 128.26087 126.74419 126.72414 128.00000 131.42857 135.47486 138.18681 135.17588 138.10680 141.70616 141.66667 144.66667 137.97468 139.00415 139.51613 138.10409 136.64260 138.39286 136.13861 134.25325 133.17757 134.00000 132.56881 128.63248 127.94944 127.26027 125.96401 122.40099 122.09567 121.22538 117.08075 115.05263 112.90323 108.09249 107.67098 103.45745 99.11972 97.93814 95.63025 94.53507 94.03226 94.53471 93.38129 94.05594 92.82815 92.96675 
89.97186 89.79471 89.31194 89.21940 88.52702 88.28633 88.48168 88.88340 89.52124 92.30769 94.30962 96.28000 97.94986 99.67858 100.23346 100.73474 101.29870 100.88186 99.92453 99.69997 99.84857 99.95741 99.38108 98.43918 96.80672 94.83101 92.47368 90.81747 90.67182 90.38462 89.00148 87.88900 86.02585 82.93979 79.78339 76.16071 72.91297 69.91304 67.50973 65.55375 62.06808 60.16411 57.73426 56.24196 55.43478 54.04299 51.40662 48.84730 46.36455 43.09101 39.17710 36.13251 32.92568 31.12809 31.55882 31.84597 33.40510 35.78512 38.44726 40.30282 42.93436 45.86614 49.59596 54.43235 60.06178 67.18062 76.42680 86.40351 95.95376 100.14286 96.51376 96.13309 97.24409 96.66667 101.69492 112.06897 116.15385 122.44318 128.10651 134.14634 129.16667 126.45161 125.46584 124.55621 128.07018 132.36994 136.63102 136.71875 139.69849 138.83495 145.45455 145.07042 147.01835 144.56522 145.79832 140.85366 138.26923 135.23985 132.85199 136.15917 134.98294 133.75394 132.07547 129.41176 130.87349 130.42169 126.31579 124.61140 123.48485 122.54673 120.64732 116.13924 111.80124 113.04781 108.47458 104.62107 102.39362 97.28814 93.94435 95.07270 93.73041 92.59259 91.50281 91.70124 92.06566 91.22905 90.72110 
87.69793 87.87515 87.92764 88.22506 88.52273 88.22329 88.97427 89.38344 89.44985 92.36859 94.69040 96.47042 98.23070 99.97269 100.26135 99.86786 99.54091 98.22531 96.70344 95.56795 95.15602 94.69557 94.52830 94.43783 94.00789 92.15584 90.65084 89.73787 89.15416 89.40021 87.99234 86.00598 83.31587 79.75610 76.75858 72.88136 69.74540 66.57768 64.72238 63.03292 60.84882 56.98299 54.49029 53.10178 52.69086 52.35967 52.47855 52.93852 52.29043 49.76880 47.09141 44.61832 41.53046 39.29455 39.10817 38.43493 38.94967 40.07054 41.60517 42.59588 43.36493 44.83899 47.81757 51.61188 56.86275 65.28067 75.06053 88.51351 98.93617 104.15162 107.04918 108.36013 109.89761 105.57377 109.89209 116.11374 120.54054 127.19298 131.10465 137.65060 134.56376 132.16561 130.06135 131.81818 133.92857 137.86982 135.15625 140.15544 141.04478 141.74757 142.68868 140.55300 140.00000 139.10256 135.44304 137.29508 136.74699 138.47656 133.20755 133.27586 133.95904 133.33333 130.40752 127.79503 128.89908 127.94562 126.55786 122.04724 123.05699 122.47596 118.62069 114.00862 110.31579 109.81964 105.91182 104.31985 100.95819 95.71664 93.26466 92.82371 90.70465 88.77400 90.42408 90.18945 89.97361 89.75501 88.49840 
86.20477 86.52755 87.05108 87.44104 87.99534 88.43212 89.28705 90.04400 90.59140 92.71047 94.50603 96.34146 98.06429 99.36327 99.24471 97.98365 95.99390 93.91170 91.70839 89.95068 89.11658 88.37984 89.06551 90.64337 91.32653 90.19028 88.97002 88.68671 88.98769 87.98937 86.57216 84.53340 81.50754 77.38033 73.40132 69.51767 66.23165 62.70358 62.13235 61.01512 58.01471 54.19314 50.89219 50.46348 50.72917 50.86780 53.66319 56.01002 57.00865 56.59176 56.06887 54.88326 53.28947 51.77655 50.67224 49.94859 49.30016 48.94242 48.07041 47.53328 46.84211 46.76946 49.53503 51.24654 57.59036 65.66125 73.57724 86.02362 98.23789 109.72222 116.23377 122.72727 121.05263 117.34694 116.73729 115.72165 125.87209 136.11111 135.84337 133.92857 138.35616 136.84211 142.30769 135.71429 134.14634 136.09467 140.32258 142.36842 141.37056 142.82178 140.28436 136.30137 134.29204 135.34483 132.27848 130.20408 131.32530 133.20313 131.55894 129.12088 128.21429 127.96053 126.96078 125.48387 125.00000 123.65269 122.12276 120.30075 119.05941 116.70673 113.24885 110.00000 107.64331 104.08367 100.69583 98.52126 96.23468 93.75000 92.85714 90.24961 88.90555 87.44461 88.29337 87.34266 87.13893 87.59640 85.82090 
86.52882 87.05155 87.48476 87.92271 88.48292 89.26332 90.07325 90.81633 91.39845 92.63933 93.91089 95.23959 96.34610 96.83239 96.72831 95.22267 93.36454 91.62844 89.80769 87.80069 86.52710 84.94089 85.22602 86.27989 87.15706 87.29508 87.33931 87.67857 87.62192 87.57212 85.43544 82.46595 79.12032 75.22618 70.88398 67.53689 63.63636 59.77636 58.47666 57.19595 54.52308 49.81640 46.12389 47.09377 48.33272 49.68297 54.91470 59.43162 62.44984 65.13992 68.83352 69.80831 70.03507 70.16129 69.58687 67.99741 65.78554 63.06180 59.03239 58.32536 58.05714 57.85235 60.35109 63.06180 66.85127 75.45582 83.57143 93.27731 105.90062 113.31169 116.23377 119.18103 120.03891 120.23810 117.46988 120.76923 131.35593 134.37500 143.29268 148.78049 143.75000 141.76471 144.50867 145.78313 137.93103 135.47486 137.90323 136.71875 129.10448 131.95122 129.57746 129.09091 128.94737 130.35714 126.27119 126.54321 130.72034 133.67769 132.53012 127.95699 127.89474 128.75000 126.38889 126.38889 122.13115 121.93460 119.57105 116.16541 114.44444 111.55660 108.00915 105.10870 104.16667 102.01613 99.89980 96.94444 94.68641 92.32673 89.60937 87.78626 88.16568 86.73469 85.51532 85.46592 84.36214 83.48387 82.82443 
89.56120 89.87688 90.16652 90.78187 90.73587 90.39707 90.53367 91.43509 91.75446 92.33094 93.26117 93.54839 94.11260 93.78673 93.44769 92.29944 90.80396 89.88860 88.21526 86.43587 84.31523 81.84739 81.18399 81.69948 82.46269 84.44947 85.39951 86.06489 86.23154 86.39439 84.04412 80.97222 77.15819 72.82920 67.89650 64.62173 60.82803 57.97530 56.71406 55.30348 52.22161 47.88340 44.44262 45.22527 46.47937 48.25175 54.71452 60.02035 64.28941 68.71247 74.45745 76.40671 78.03030 79.25249 78.54638 76.88574 74.45223 70.88487 65.65676 65.77465 63.79717 66.46884 68.43923 72.03673 80.17078 86.46003 94.21338 104.28571 113.26531 116.37631 119.44444 115.06849 117.18147 118.45238 118.53448 122.52747 131.17647 139.09091 147.74194 159.53947 151.96078 149.68944 147.63314 143.97590 143.52941 138.79310 138.04348 128.86598 127.63819 128.64078 123.96313 125.33632 126.62338 123.69565 127.23404 128.36735 128.75000 127.41935 134.60000 129.25532 131.57895 130.12422 127.76074 125.90909 122.97297 122.38606 117.71654 113.75921 112.46973 105.63380 105.64516 101.41921 99.89339 98.99194 96.96673 96.15385 94.51115 93.92123 92.23301 89.53674 88.61852 86.45511 83.33333 83.75000 80.78035 79.94676 78.01047 
90.77670 91.21887 90.90909 91.14140 91.81360 91.55656 91.60584 91.07711 91.24415 91.79515 92.00205 92.31015 92.87116 93.38608 93.10670 92.03111 90.86494 89.74605 88.60709 86.65272 83.76623 80.61061 79.05538 78.39483 78.00854 80.00000 82.44613 83.69705 84.13645 84.38538 81.64820 78.85473 75.13126 70.29725 65.04425 61.98770 59.58395 57.37944 56.37178 54.92958 52.74390 48.92164 45.33884 44.68000 44.63934 45.67867 52.92284 58.76879 63.91863 69.42667 75.95515 78.08765 80.40217 81.77874 80.43699 78.82122 76.66822 73.60470 69.11447 69.31889 68.62664 70.68404 75.24510 80.56133 89.83254 102.68987 112.71777 120.68966 127.10843 126.20000 130.76923 124.29907 125.00000 123.77049 125.31646 124.16667 126.31579 132.22892 144.18605 154.46429 167.00000 158.18182 155.17241 160.00000 152.58621 137.24490 137.75000 132.46445 130.09709 123.61111 126.01810 127.06422 126.99115 129.64602 134.69828 130.86420 131.87023 136.27820 136.49635 134.96503 130.33898 133.33333 134.52012 129.81651 122.89326 119.61326 118.01008 114.49631 111.00478 108.33333 104.60674 102.28758 100.74468 97.78226 96.40078 97.32472 96.19377 93.58289 92.14047 90.59968 87.44113 86.39191 85.17699 81.83140 80.43478 78.18344 76.63428 
91.34228 90.81272 91.17133 90.68564 91.27389 91.97995 92.61924 91.88588 91.09916 90.83144 90.62278 90.00668 91.67229 92.71236 92.91139 91.35830 90.04384 88.66127 87.52998 86.02329 82.47344 78.87530 76.29213 75.58096 73.70948 75.90512 78.60027 80.68807 80.75567 80.99604 78.09859 75.88235 72.44149 67.65068 63.71882 61.35394 60.09555 58.74858 57.95779 57.77277 56.54475 53.29198 49.90826 48.23859 47.22222 46.99908 52.55148 57.49365 62.08791 66.42012 71.44192 72.64058 73.43615 73.99256 73.16027 71.99796 71.51976 68.88247 67.55725 67.70123 68.22820 69.87500 75.86207 85.17241 97.15447 109.78261 119.87952 126.10837 135.05155 136.68342 129.06404 135.92233 128.34008 127.71084 126.53061 126.61290 126.27119 126.31579 138.23529 151.85185 150.00000 165.23179 165.82278 161.29032 160.90909 145.31250 145.72864 139.13043 133.73786 132.00935 132.87671 131.94444 131.08108 132.73543 133.69099 134.64730 132.18391 137.96992 134.61538 139.46429 134.89583 137.98077 134.28571 129.96845 125.65982 121.55172 119.37984 116.54135 111.95652 109.92991 105.65611 104.18502 99.78448 98.23651 96.95122 96.60194 97.33945 96.48973 92.51592 90.54054 89.67742 86.39191 84.94453 84.09091 80.98592 78.71658 77.34628 
89.04197 88.83536 88.75985 88.19075 89.40986 89.91263 90.65311 90.78795 90.19794 90.36983 90.39861 90.81028 91.52201 92.21352 91.84061 89.41887 86.81889 84.95729 83.30592 81.44198 78.85502 75.59892 73.21224 71.81924 70.13423 71.70318 74.72743 76.48649 76.21798 76.00000 73.69515 71.33803 68.56339 65.93904 62.98557 61.46465 61.15445 60.48019 60.89790 61.30634 60.84384 58.10386 55.55994 53.37621 51.82616 50.95137 53.13792 55.67548 57.95092 60.49817 62.83297 63.26121 62.80488 62.71889 63.36699 64.11251 64.12671 63.91941 63.42555 64.33751 66.50000 69.94981 77.82686 86.31961 96.41834 112.25296 127.37557 132.41758 140.67797 144.78022 142.58373 142.30769 136.53846 132.63889 129.09091 127.39726 118.24645 123.83420 120.95808 126.92308 142.45283 158.22785 164.11043 163.39286 161.47541 157.26257 150.51546 144.28571 147.10145 141.36364 141.33333 139.86175 137.05357 136.00000 136.26609 137.23849 140.34749 139.44444 137.24490 137.58389 138.29431 133.64486 131.09375 125.46875 122.55193 117.25664 116.52542 112.02703 110.15831 104.88722 101.93705 97.90210 95.85153 94.52632 93.91635 92.89617 92.04152 92.22395 90.20619 89.90610 88.27893 86.80456 87.60388 85.09061 84.59638 82.61608 81.82339 
85.96195 86.05285 86.06728 85.89638 86.73966 87.93448 89.13813 89.24961 89.40092 89.63211 90.74468 90.75262 91.24532 91.69657 91.47745 88.18859 85.18564 83.47046 81.85035 80.59953 78.65910 76.95652 75.42960 73.58193 71.13552 72.27921 73.52697 74.14474 73.50025 72.44444 71.13572 69.00786 67.02665 64.20455 61.68457 60.52168 60.22727 59.82809 60.27132 60.96491 60.69992 59.22742 57.76567 56.11948 54.82129 53.50050 55.34738 56.56682 57.62776 58.79536 59.85277 58.93878 57.94501 57.71552 58.74867 60.16260 61.23468 61.45545 62.08791 64.42119 67.92883 73.74517 82.84024 95.33898 107.84983 125.00000 139.69849 138.98305 150.87719 141.98895 148.80240 141.34078 138.39286 136.44068 131.52174 129.07609 122.16216 123.69942 118.64407 115.56886 130.06135 141.34615 143.51852 155.68182 156.45161 157.26257 151.02041 154.06699 150.73529 151.86047 149.55157 141.62896 143.01310 142.51101 143.10345 137.39669 140.45802 141.44981 137.89474 135.56701 134.65347 128.39879 123.86018 117.06949 115.40698 110.96491 107.40223 102.31608 100.65963 98.84615 95.33170 92.76596 91.51786 88.78205 88.74755 89.42857 88.33333 87.05882 85.30844 85.55363 86.75497 88.03487 90.10574 90.75145 90.69463 88.18538 88.04781 
88.25806 88.13884 87.89474 87.37542 88.17623 88.67849 89.73037 89.68689 89.22098 90.02230 90.36229 91.19612 91.63586 91.60397 90.92219 88.01935 85.14979 83.64717 82.89892 82.09705 81.17480 80.53668 79.28845 77.33553 75.36364 74.28230 73.85606 73.35112 71.99810 70.57971 68.69688 66.91327 65.26419 62.68484 60.11673 59.09826 58.28629 58.07605 58.85936 59.43087 59.63712 59.31373 59.24251 58.25648 57.88201 56.73390 56.91084 57.01113 57.03615 56.74048 56.58845 55.11509 53.95565 53.13697 54.81602 56.54481 58.04308 59.66130 61.20377 64.68668 70.18433 77.00394 86.72840 104.29448 114.83516 135.92233 138.74346 143.41317 143.97590 147.32143 141.50943 146.89441 137.89809 136.84211 135.00000 132.18085 124.61929 122.99465 115.72165 110.48387 116.20112 117.85714 126.85185 139.65517 154.65116 160.90909 165.64246 164.97462 163.84615 156.94444 157.81250 148.20628 146.15385 144.12955 145.40000 145.13619 137.27273 133.91608 136.59794 133.00000 129.15309 127.02703 121.42857 117.06349 109.20000 101.98413 99.33687 91.58031 88.45178 82.60870 82.94243 84.52138 84.15842 83.59073 83.33333 82.64540 82.08255 81.55259 78.41845 78.77442 80.15873 83.70497 87.21228 91.98520 93.31797 93.43891 93.17841 
90.08282 89.50086 89.15816 88.64684 89.15737 89.84565 90.56791 90.42303 90.45139 90.24254 90.28120 90.39229 90.50092 89.83507 89.47121 87.20418 85.26455 84.58536 84.45946 84.36634 83.62480 82.93124 81.85675 80.09855 78.15821 76.79092 76.22814 74.94210 73.31190 72.00342 69.52353 67.72592 65.59882 62.65734 59.77386 57.72138 56.64411 55.90178 55.33205 55.14780 54.70935 54.03071 53.28899 52.56639 51.81002 51.01711 50.79655 50.86152 51.38064 52.46958 53.06122 53.14357 52.56489 52.47555 54.20842 55.93407 56.82249 58.55303 60.83075 64.28019 70.78410 77.87009 89.35065 102.35294 117.39130 126.27119 144.11765 150.35211 152.51799 150.69930 149.32432 151.64474 154.89510 152.58065 145.85799 139.83051 136.17021 134.12698 127.48815 121.46226 123.94366 121.67488 124.21875 128.22581 137.98883 150.00000 161.45251 163.47150 159.80861 158.37004 160.33058 154.58716 156.19469 150.64103 144.51220 147.59036 140.32847 138.29787 137.45763 133.60656 129.74684 123.16076 119.73366 114.28571 106.11765 99.19725 92.36902 84.87585 82.40535 79.23977 77.66160 78.41530 77.10526 77.20207 76.79510 76.48601 74.77064 74.06143 72.19251 73.38057 70.08368 75.46584 84.43396 90.63927 94.00369 98.40426 96.33106 
90.61252 90.37703 90.01297 89.53092 89.33808 90.75682 92.13208 91.84369 91.63386 91.13731 90.56232 89.28210 88.47222 87.50000 87.02381 85.87308 85.47318 85.53427 86.14949 86.62207 85.91130 84.61288 83.63776 81.62586 79.48718 78.74723 77.99786 76.80723 75.22760 72.66983 70.58003 68.41847 66.14688 62.59597 59.39358 56.91193 55.32684 53.95997 53.25380 52.51076 52.19479 51.58730 51.40782 50.55996 50.21708 49.20857 48.77731 47.79553 48.64865 50.43088 51.74814 51.87140 52.16902 52.27423 52.54655 53.11927 54.89015 56.86869 59.75813 63.65854 69.44444 76.36632 86.09023 100.75188 108.21918 122.41379 140.60403 146.66667 153.40909 153.75940 160.22727 152.46479 158.46154 154.25532 160.47297 155.37975 151.72414 147.82609 141.82243 134.29204 130.47210 121.76724 123.61111 122.08738 123.05699 136.66667 150.00000 155.97826 159.79381 166.42857 170.00000 163.22115 161.16071 160.04367 153.94191 150.99602 144.02174 140.52632 135.85526 129.68750 126.78571 122.71574 121.54964 112.88462 108.44156 99.73118 92.96741 85.91906 83.44426 79.37400 77.69953 76.10687 74.16546 72.87770 70.44632 68.56796 69.98355 65.88869 63.98810 62.54545 60.73620 67.05263 73.73225 81.67331 90.08621 94.87952 92.81716 
90.85526 90.79688 90.48332 90.13906 89.95851 90.13051 90.43321 90.36643 90.28638 89.58021 88.75750 87.82478 87.33806 86.70084 86.14185 85.71068 85.39451 85.42178 85.51129 85.64108 85.12362 84.55936 83.91685 82.42461 81.09801 80.48337 80.54948 80.37300 79.24736 77.04799 75.20683 71.68756 68.35327 64.52659 61.00081 57.97398 56.12940 54.27553 53.92670 54.11227 54.35366 55.21480 55.71606 55.90613 55.46463 55.00000 53.52988 52.04137 51.67910 52.56012 53.37741 53.30325 52.95316 52.09153 51.59040 50.78895 51.62539 53.12725 56.73415 58.66337 62.46154 67.55527 74.51220 87.75510 94.04255 105.67010 119.23077 127.96053 134.37500 138.29787 143.47826 158.08824 164.50382 171.11111 163.26531 167.15328 161.74497 164.07186 161.04972 153.60825 148.01980 138.57143 138.36634 132.60870 128.06122 130.58511 142.57143 149.71098 153.65169 156.68449 159.55882 165.50000 165.43779 167.63485 159.24528 157.52688 155.65693 147.44898 140.93750 135.45994 132.81690 126.75325 124.07862 118.11927 109.74576 102.32000 94.72617 90.00000 84.46328 79.85893 76.98651 73.28199 73.16798 70.21158 68.07910 65.25912 62.45059 59.23423 57.92254 54.90534 50.00000 56.46259 61.32723 70.32710 78.53659 85.98655 86.82635 
90.84910 90.79062 90.07290 89.08094 88.85655 88.34081 88.11525 87.23529 86.54881 86.33645 86.38614 86.60744 86.11898 85.82402 85.65217 85.34928 85.20492 84.90879 84.08276 83.42690 83.14675 83.09075 82.72496 82.12534 81.34750 81.57459 81.86550 82.10806 81.33450 80.11418 77.75827 74.72103 71.40992 67.10262 63.55123 60.96230 58.86408 57.28745 57.57221 58.38448 59.49949 60.54003 61.64283 62.24558 62.55372 62.58089 60.45872 57.94751 56.41850 55.90679 55.69810 55.62181 55.84605 56.19098 56.09481 55.12910 55.82770 57.55906 60.48544 61.98454 64.70297 68.94737 73.24380 78.66492 83.98058 92.09486 102.27273 111.66667 117.50000 126.51007 139.13043 145.25547 164.28571 165.38462 173.33333 183.88430 175.37313 173.00000 173.37278 170.49180 161.92893 150.47170 148.79808 137.05357 133.33333 128.29268 132.46073 132.62032 141.34078 145.22472 155.00000 157.93651 167.00000 167.76316 169.02834 168.18182 159.44444 153.25342 149.05660 140.61584 137.84530 133.58779 126.06132 119.05782 113.18898 104.91803 95.74468 88.75000 84.56113 79.88506 76.20482 72.87557 70.62367 67.86966 65.03497 62.05251 58.87471 54.43548 51.68000 50.53571 48.28767 50.00000 54.23913 58.05369 68.79271 76.67364 76.98413 
90.12866 90.00000 88.97536 88.23529 87.37437 86.56135 86.06524 85.91466 84.83385 84.32443 85.20187 85.95642 86.60063 87.35080 87.21555 85.76000 84.09475 81.90299 79.49277 76.93603 76.19863 75.98986 75.71977 76.82777 78.06072 78.97939 80.30717 81.27615 81.26831 80.95342 79.39367 76.28116 73.80952 70.26045 67.17635 64.66606 63.30492 61.77362 63.15724 64.60117 66.03078 67.39651 68.77291 69.54352 70.44487 71.24836 68.54013 65.32875 62.05837 59.64057 58.07982 58.92449 60.24245 61.56636 62.88441 65.74074 66.82243 68.01948 68.35187 70.01050 72.71186 72.86245 75.91912 76.24467 79.94792 84.21659 93.95770 98.78049 98.76847 109.34066 117.32955 131.81818 148.20144 163.86861 173.77622 175.00000 181.12583 183.75796 184.21053 176.19048 165.44118 157.62332 147.62931 144.32314 133.97436 132.39437 128.29268 128.86598 128.64865 131.74157 138.43931 145.22472 145.52632 165.33019 167.02586 169.52191 162.14058 162.05357 155.07813 151.22249 142.35955 135.85973 129.06250 117.80822 109.78836 101.48903 94.24321 88.27945 83.49057 78.21277 74.58432 71.14494 67.18062 64.81836 63.23185 61.17936 58.61027 56.19835 53.58146 51.87500 49.09820 50.00000 49.70930 53.24675 61.45833 68.23899 68.87755 
89.28571 88.59805 87.43444 86.62941 85.77167 84.94001 84.65286 83.75000 83.01046 82.23187 83.68691 85.35980 86.53916 87.82700 88.67543 86.12057 83.43834 79.88103 75.47826 71.19176 69.75023 69.60853 69.70408 71.95328 74.54155 76.48342 77.92490 79.42469 78.89401 79.18207 77.98126 75.95759 74.62036 71.71445 69.45489 67.53999 66.44737 65.40144 66.49964 67.82541 69.10950 69.59852 70.28813 70.69772 70.97444 71.21969 68.87590 65.99691 63.27193 61.31520 59.37750 60.37212 62.66266 64.96711 67.47653 71.86192 74.74359 75.37807 77.41560 78.63636 81.26649 81.99728 80.29316 81.11888 81.48148 82.60870 81.88011 85.19062 89.32584 96.50655 101.38889 109.09091 117.02128 135.47486 151.44509 162.08791 171.62162 175.28409 173.29843 179.39560 164.75000 157.14286 151.31579 142.30769 139.49580 133.33333 125.33632 125.00000 122.79412 116.66667 123.36957 131.14754 130.89005 144.47115 157.14286 155.43933 154.89865 156.60377 154.00552 153.63636 143.92523 136.86047 129.26316 119.36416 109.13706 99.71550 93.07263 87.64423 81.99659 76.12245 72.24698 68.59640 64.33882 62.57584 61.41193 59.66325 58.16469 56.51106 55.84795 55.35714 51.23762 52.02703 50.53763 53.24165 58.48416 61.38829 61.00683 
87.11271 85.87533 85.35948 84.16667 82.92836 82.95688 82.70859 82.29495 81.45441 80.65242 83.20569 84.39703 86.21584 87.43727 88.92313 86.26533 82.86885 78.95531 74.11132 68.81654 67.39454 67.12089 67.34898 69.55725 72.51698 73.82708 74.42388 75.22227 74.81910 74.82370 74.48980 73.71898 73.74496 72.30307 71.16530 70.38310 69.56346 68.92152 69.56821 70.25989 71.00701 70.43019 69.68750 69.11954 68.91989 68.74059 66.89446 64.96968 63.50801 62.08406 60.65743 62.13166 64.95416 68.04559 72.33251 77.68192 81.15488 83.07317 86.12751 87.83102 87.63505 87.76471 85.89286 83.96226 82.60870 80.62201 78.18004 79.55508 82.87671 83.38710 87.36842 89.88095 101.09170 109.85915 120.14925 134.87805 142.07921 154.91803 158.46154 160.86957 169.83696 160.09852 152.81690 140.69767 142.46575 131.99153 125.63025 119.57447 115.70248 110.38136 112.13389 109.11017 117.24138 122.51185 128.87324 130.84746 134.67742 138.63636 139.55224 144.75921 138.63636 133.61858 125.80645 114.15663 104.49915 97.89402 90.99462 86.49254 79.40990 73.50113 70.00000 66.68682 63.28273 62.79972 62.74131 61.93370 61.28763 60.13712 58.71298 57.22892 54.96894 53.07263 52.32301 53.23741 52.14797 52.45327 55.39773 
84.12132 83.24899 82.70284 81.74061 81.17816 81.31171 80.87017 80.92016 80.11863 79.66538 82.14729 84.06479 86.33009 87.60877 89.31227 86.80110 83.06390 79.46773 74.47018 69.32845 67.53035 67.67079 67.41851 69.37461 70.76768 71.97687 72.29249 72.42424 72.53380 72.33269 73.24622 74.58564 75.63068 75.12423 74.38147 73.80709 73.39871 73.01587 72.83570 72.61928 72.47805 70.69351 68.75737 66.99267 66.10689 64.99252 64.87420 65.13514 65.18345 65.78054 66.26214 67.50789 69.94505 72.21869 75.66787 79.74249 82.67327 84.76523 87.11340 87.78055 89.09953 87.96400 86.71466 85.98485 85.60393 85.07463 83.43023 85.79832 87.73196 87.67773 89.75265 88.69048 89.41176 95.59471 111.50000 118.78049 132.62032 130.70175 141.56977 144.69274 142.30769 144.81865 145.72864 140.29126 137.85714 130.98592 121.30045 116.59193 112.74038 110.86957 110.26786 112.16216 109.47137 109.48276 113.46154 112.87879 118.01471 118.58407 123.64458 126.72414 124.23077 119.60298 114.51613 107.19844 101.44231 93.61314 88.08594 84.06910 77.80528 71.80877 68.58407 66.89537 64.18147 65.03366 65.01650 65.70470 64.87730 63.94928 60.21798 59.90000 58.27586 56.10998 54.62085 52.31959 48.18402 45.60976 48.74477 
84.28128 83.28244 82.15354 81.34766 80.73241 80.35211 80.37276 79.62298 78.78325 78.23230 81.08000 84.05742 86.77863 88.58633 90.07697 87.32775 83.57333 79.71572 75.77692 71.35948 69.47409 69.12655 68.47291 69.18285 70.08981 70.03257 70.04336 69.67509 70.66719 70.84163 72.37530 75.34562 77.87986 78.40733 77.62915 77.59570 77.39703 77.26848 76.62455 75.28609 73.98957 71.11089 67.91606 65.62897 64.25543 63.00448 64.34336 65.55780 66.90304 68.91101 71.05031 73.07099 75.21424 77.53623 80.08094 82.24299 82.48848 86.11422 87.86585 87.35020 89.26302 89.02878 88.31081 88.35443 87.80822 89.62264 90.30249 91.57973 90.86116 92.51497 90.31792 94.11765 94.20530 99.43182 99.14894 109.60699 120.14925 125.00000 127.19298 128.85714 128.85714 128.64865 127.36842 125.77320 120.19704 123.13433 118.89952 121.42857 118.59296 116.17647 110.89744 111.13445 109.38776 108.69565 105.52239 104.60829 101.68919 101.98675 104.22164 103.32481 102.90023 98.23944 99.29006 95.29221 92.60471 88.88889 83.99433 81.57434 75.89147 71.02273 69.38575 69.48217 70.12012 70.90069 71.40762 71.34969 69.52555 67.45214 66.28849 61.45374 60.01590 58.08190 55.16055 52.16867 48.48485 46.24217 45.25692 
83.92116 82.40976 82.15892 81.55577 81.20805 80.45113 79.93088 79.09744 78.56209 77.25548 81.11984 84.68271 87.19429 89.42438 90.78411 88.72303 85.16328 81.63765 77.57472 72.49707 69.52891 68.20453 66.56291 67.63476 68.27824 69.09651 69.26070 69.16004 69.89645 70.34413 72.06318 75.83688 78.87608 79.41176 79.65116 79.37220 78.59566 77.73148 76.67049 75.10771 74.09026 72.46231 70.73263 69.33248 68.83117 68.17631 68.38620 68.65424 69.11335 70.23095 72.23089 73.70326 76.30168 80.08435 82.06297 84.18803 85.40569 86.22573 86.75889 88.21839 89.96139 89.69754 92.69231 92.58242 94.82422 96.78639 99.48454 103.02013 104.54545 108.56742 106.48148 108.87372 108.57664 112.76151 115.40284 115.94203 127.52809 133.54430 136.27451 137.66234 136.25000 134.31953 129.26136 122.83237 124.57143 116.66667 112.79070 114.38356 116.83168 116.74641 113.43612 112.13389 113.43874 110.60606 109.42492 107.53425 107.04787 107.18016 105.03597 101.05634 95.67901 92.16061 89.95098 87.11340 85.12545 81.70732 78.06841 76.35135 72.88660 70.16990 69.53488 71.74111 73.81477 74.72246 75.30120 75.17337 73.50902 68.84422 66.19469 63.27640 60.27070 58.58896 56.77618 54.43975 50.53667 46.68508 45.57087 
82.31959 81.73516 82.02500 82.73399 82.55196 82.09203 80.55684 79.17419 78.89667 78.33192 81.54206 85.06563 88.16047 90.19247 91.55814 90.03518 86.91354 83.58744 78.96246 73.51133 69.34562 66.97701 64.07166 65.24954 66.69129 68.56703 68.84164 69.66374 70.18950 70.80182 72.54509 76.77543 80.01876 81.56537 81.40996 81.42617 80.05597 78.51446 76.98130 75.47954 74.22342 73.56740 72.86013 72.47674 72.33240 72.30415 71.77734 70.95278 70.67409 71.28272 71.88235 73.54949 76.95615 80.40541 83.40972 85.08316 87.32798 87.10733 88.98305 91.11349 93.28859 94.96568 96.07143 99.88124 101.36476 104.09836 111.27820 111.25654 116.47727 117.43119 117.95302 121.69118 121.78988 119.87179 127.91262 126.10837 135.22727 137.73585 147.65101 145.36424 136.39241 137.57764 131.25000 128.70370 119.36416 120.05076 109.85577 112.67606 115.57789 111.55660 116.37168 115.70248 112.26415 113.00940 112.79070 113.11881 115.35714 111.03448 107.00637 102.06612 94.71698 88.01020 84.76676 80.11811 76.68810 72.97071 71.24514 69.81132 69.67846 69.36709 69.96552 72.70867 74.85207 75.43353 76.32212 74.96382 73.77522 68.25000 65.18127 61.25574 58.25688 57.67824 54.82143 53.81125 50.79086 50.27523 49.39394 
82.90975 82.30179 82.08354 82.70565 83.08179 82.36277 81.27630 80.65693 79.89371 79.56110 82.50297 85.51922 88.58696 90.87993 92.62180 91.52334 88.13657 84.47813 80.21659 74.66881 70.74435 68.07498 64.76077 66.00967 68.71728 70.92860 72.96618 74.68095 75.89286 76.62179 77.49077 79.98066 81.53299 83.10283 84.17287 84.38307 81.60018 79.67353 77.38255 75.64974 74.44397 74.36964 74.53073 74.49225 74.49495 74.66038 73.73535 71.84662 70.92628 70.83822 70.51368 72.97921 75.24752 79.93597 82.70677 85.47419 89.17323 90.79174 93.29044 95.74861 97.27626 100.60976 103.39578 106.69856 112.53197 113.64764 117.89474 122.22222 128.01858 131.95364 130.72034 131.08108 133.00971 136.50794 135.71429 146.29630 143.50649 146.71053 152.41379 155.51724 140.56604 141.10429 122.32143 125.00000 123.29545 115.62500 115.38462 113.97059 116.58537 111.92661 109.28854 110.22305 110.51724 112.70903 114.28571 117.83708 116.23377 117.03704 116.75000 112.76596 103.64238 97.40356 89.84962 81.76471 75.18960 72.11538 69.77321 67.77850 68.55159 69.45010 70.71698 72.86673 75.00000 74.64865 73.77577 72.37814 69.27374 66.04651 62.60331 61.05702 58.27586 56.88525 55.79710 54.16667 55.23810 53.47107 53.55191 
82.86164 82.82462 82.44275 82.76553 82.76878 82.53968 81.92090 81.56077 81.18545 81.45797 83.61650 85.97136 88.43183 91.35210 93.82261 92.44217 89.01895 85.83544 81.23882 76.05006 72.37136 69.95935 67.15363 68.37168 71.02564 74.51445 78.16471 82.40343 83.55737 83.25835 84.36080 84.70304 86.06789 86.90000 87.26054 87.50000 83.93297 81.11064 78.79440 76.49321 74.69287 75.03277 75.26441 75.42303 75.41004 75.89837 74.98411 72.89670 71.44618 70.81712 70.85866 72.14854 75.07788 79.07407 82.38213 87.34266 90.86758 95.30000 99.35897 101.60256 106.41892 108.80282 112.36413 116.28895 117.25664 121.07558 124.30769 132.50000 132.44681 134.51493 143.10345 138.32487 142.24599 138.48315 149.69512 154.71698 154.90196 154.90196 155.59211 143.75000 145.12195 138.59649 129.31034 121.70330 115.77540 117.50000 110.86957 113.98104 110.95890 112.38938 108.39695 107.40072 107.07071 111.50000 112.22910 118.18182 121.17347 120.58824 119.04762 117.32777 107.93991 101.63317 91.61392 82.65306 75.07205 71.37272 67.89286 67.33983 69.59459 71.42857 72.54174 73.53591 72.82609 71.21951 70.55249 68.45878 65.77103 63.25153 62.07547 60.79545 59.14867 58.55705 59.94898 59.42029 62.14165 61.57895 62.45283 
82.67405 82.82960 82.69923 82.94534 83.28358 83.43902 83.03870 83.47398 83.85989 84.21288 86.74875 89.33206 91.76701 93.76690 95.22410 93.83406 90.31669 86.92219 82.92683 78.81744 75.56343 74.00347 72.15620 73.62529 76.02740 81.29051 87.62376 95.09395 96.35599 94.92754 94.22383 93.14607 91.23007 90.41394 91.44460 91.09456 86.88375 84.17229 80.65015 77.92929 75.50000 75.56536 75.37175 75.56180 76.13448 76.69584 75.83026 74.16226 72.36662 71.42857 71.38956 72.00145 74.81096 79.37428 84.56790 90.50235 96.11399 102.64423 107.92839 113.27434 119.26606 121.00313 117.52768 120.18868 123.51779 128.26087 131.53527 136.77130 141.14833 138.05970 147.65625 147.29730 154.91803 159.71429 155.78035 159.43396 162.25806 152.53165 157.41935 156.05096 145.70552 135.34483 135.83333 122.65625 117.57426 116.27907 109.59821 113.53712 107.55102 110.71429 107.97872 106.12245 105.03247 106.81818 107.92507 115.54252 121.33152 121.58273 117.26804 115.38462 107.88732 99.51981 91.68388 83.44126 75.99190 74.71132 72.72388 73.83499 76.07527 77.71084 77.75255 76.18817 73.62335 70.35176 68.98470 66.24629 63.05310 60.87963 60.20942 57.82269 59.23984 60.69565 60.64014 63.33893 64.68531 67.27605 67.72983 
82.51192 83.16702 83.25545 83.15467 82.96538 83.44845 84.52035 85.43251 86.17318 87.34610 89.62786 92.19545 94.32246 95.54096 96.34853 94.84357 91.28749 87.89534 84.26209 80.36236 77.47757 77.01522 76.11074 77.98681 81.14504 86.36638 93.96371 102.34139 104.00925 101.41727 99.70588 96.88995 94.63007 92.56135 92.10329 91.47808 88.58025 85.59928 82.23140 79.21460 76.70690 75.20877 74.43971 73.99351 73.98727 73.93237 73.33333 72.05240 70.52474 70.06689 68.37577 68.31104 68.12339 68.47338 73.67150 80.05725 87.25275 96.87500 108.41346 112.26415 118.33333 121.61017 123.10469 125.27473 126.26050 129.88506 131.98381 134.10042 136.00000 143.12796 143.54839 142.81768 153.02198 150.83333 151.14286 148.54651 153.29341 153.01205 153.91566 154.11765 140.81081 138.60104 130.94059 122.55814 120.00000 108.64198 107.33591 107.60456 108.90909 105.26316 103.53698 101.40187 103.73832 104.62687 106.79191 108.45272 113.94102 115.60364 111.40625 110.52279 102.27833 95.86387 90.38997 83.58014 77.36967 78.03628 79.32422 80.46075 82.56881 84.87150 83.94018 77.96336 74.61078 70.74468 66.85633 62.76596 60.46512 59.21927 57.66773 54.76948 56.20032 57.96233 59.16808 61.68831 65.54404 65.78947 65.80311 
83.76206 84.90415 85.33123 84.75232 84.57447 85.11431 86.36141 87.77082 88.40170 89.37351 91.15544 93.47067 95.15605 96.49299 97.24660 95.81240 92.43952 89.06283 85.63876 81.56556 78.88534 78.85520 78.83742 81.21693 86.16970 92.35193 98.54138 105.75621 106.92068 105.23691 102.50000 98.97511 95.84222 93.32649 91.63043 89.34768 88.29114 85.80952 83.58844 80.42231 78.13370 75.30562 73.15487 71.89430 71.32598 70.91017 70.23884 69.44515 68.53885 67.10028 64.95601 63.48921 61.90583 59.45017 64.24332 68.54244 76.64474 88.59060 106.44737 109.64912 117.56757 122.03647 121.56489 125.28958 124.40476 125.88933 129.04564 130.47210 133.86364 142.02899 144.26230 147.15909 144.86486 139.83957 139.03743 136.88525 139.01099 133.51351 135.94595 131.60622 133.08824 128.83721 124.66368 122.15190 113.61868 108.81295 105.99315 104.63259 100.15337 96.98795 97.44526 95.03632 96.43735 98.31169 101.55039 102.08333 102.19072 100.52301 100.86580 99.39686 93.97993 88.46520 85.64488 82.57856 79.78629 81.93312 84.85370 86.69468 88.43416 90.72306 84.51705 78.83333 73.32577 69.08127 63.76307 62.73408 61.41935 60.21277 58.01187 54.89396 53.57143 54.30210 53.79377 54.61957 56.19137 57.67824 61.29597