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4.50311 4.01507 3.83642 3.58676 3.56861 3.71216 4.64632 5.58022 6.37936 7.82591 9.13043 9.91363 10.46144 10.95465 10.97547 10.92589 10.99786 11.13737 11.28314 11.29103 11.21604 11.11901 10.67514 10.06730 9.40300 8.70461 7.75825 7.15640 6.81981 6.15248 6.00618 5.86677 5.69637 5.45455 5.09156 5.17946 5.20428 5.14731 5.90305 6.18782 6.64842 7.28513 7.54417 6.96681 6.16286 5.62837 5.47276 5.43191 5.79191 6.23738 6.66525 7.29631 7.73896 8.04667 8.31864 8.57583 8.49732 8.57406 8.45857 8.78486 9.02605 9.20224 9.00598 8.89751 8.43049 8.03952 7.28745 8.13367 9.20121 10.29940 11.75071 12.93605 15.00778 15.49080 16.21406 18.66776 20.74380 20.79208 21.01313 21.80451 21.53700 19.94536 21.16451 20.52529 18.99606 18.68787 19.53125 20.11834 18.72587 18.80651 18.32130 19.16667 18.78453 17.05989 17.56757 17.07965 16.85761 16.82692 16.74528 16.31259 15.85903 16.13603 16.09442 15.82278 15.40055 15.60380 15.35381 14.58087 14.64411 14.27765 14.67634 13.78170 13.38933 13.52941 12.78958 12.14421 11.90028 11.65617 10.62500 11.00796 11.94420 11.72945 11.96474 11.35671 12.69663 11.44814 11.43705 
4.44744 4.23729 3.88098 3.96508 4.00654 4.04331 4.80769 5.52458 6.18190 7.39259 8.47435 9.17287 9.68558 10.16801 10.02461 10.00509 9.99117 10.14431 10.31507 10.19910 10.06402 9.86278 9.30586 8.74918 8.22898 7.89329 7.51013 7.16482 6.54949 6.13904 5.78206 5.38961 4.99184 4.97778 4.78247 4.84596 5.15194 5.34682 5.98414 6.56009 7.29091 7.76805 8.38334 7.74330 6.97512 6.24679 6.34598 6.18006 6.32219 6.60377 6.87033 7.17590 7.52397 7.73976 7.98736 8.18182 7.98277 7.81869 7.55559 7.62966 7.74787 7.93633 8.12379 8.26878 8.13199 8.09189 7.90782 8.61292 8.62647 9.20226 9.71223 10.62847 11.82432 12.92346 14.25620 16.33166 18.48958 19.05594 20.31524 21.35417 20.96774 20.37037 20.26549 19.62422 19.80932 19.35484 18.81497 19.18239 18.81188 17.51969 17.77344 18.57708 18.54369 16.22137 16.53386 15.29412 16.69329 15.72770 16.20370 16.25578 16.31259 15.38462 14.60674 15.30471 14.36782 13.63065 13.70370 13.89831 14.04682 14.06593 14.10538 13.79310 13.10484 13.20755 13.49362 12.91978 12.11982 11.89759 11.90476 11.85788 12.05433 11.84100 12.03627 12.83886 12.99852 12.38034 12.33354 
4.43339 4.49700 4.46020 4.59893 4.70810 4.76044 5.34615 5.82376 6.34706 7.11421 7.82979 8.39716 8.80603 9.19335 9.16538 9.02876 8.88725 9.05738 9.18408 8.99617 8.77852 8.45951 8.01134 7.44325 7.14286 7.09324 7.23854 7.00298 6.44751 5.97305 5.39691 4.84401 4.51202 4.38001 4.09338 4.16941 4.47284 4.80874 5.16866 5.85952 6.52814 7.50280 8.30559 7.89963 7.37847 7.18291 7.00989 6.80697 6.87961 6.85918 7.05238 7.25643 7.42975 7.48208 7.45129 7.51525 7.17217 6.63100 6.19793 6.38244 6.55034 6.79899 7.22065 7.55076 7.54842 7.86271 8.12183 9.08369 10.23796 10.54502 10.89325 11.26307 11.99095 13.13131 15.01901 15.73482 17.44792 19.67800 19.78417 21.24774 19.89247 20.77206 19.89051 18.58974 19.67033 19.06874 18.78981 19.35484 17.64113 17.23447 16.66667 17.36527 15.85603 16.69884 16.23506 16.27219 15.49521 14.91366 15.52795 14.88372 14.50382 15.27988 14.17266 13.29114 13.57702 12.16561 13.40076 12.84562 12.83937 13.54051 12.66447 13.14935 12.61352 13.31683 12.68222 12.93605 12.60704 12.57367 12.02899 12.46418 12.13592 12.46719 12.75685 12.89283 13.14961 13.05831 12.61343 
4.29875 4.43721 4.47199 4.82676 5.08039 5.51921 5.98316 6.68874 7.37690 8.11558 8.78443 9.06606 9.06632 9.15378 8.79777 8.41527 8.19920 7.92817 7.75831 7.66396 7.57108 7.36519 7.17754 6.87650 6.69121 6.76705 6.96363 6.65829 6.21827 5.71464 5.09950 4.46968 3.78427 3.46715 3.00693 2.76350 3.13131 3.44296 3.83375 4.63335 5.49270 6.38186 7.33611 7.74099 8.32235 8.27723 7.86287 7.59742 7.35228 7.26941 7.23774 7.22879 7.22065 7.20408 6.64987 6.34540 5.77164 5.17128 4.67475 4.87267 5.19985 5.36145 5.81046 6.32823 6.56969 7.30710 7.60870 9.47205 10.97438 12.00306 12.63345 12.85090 13.48195 14.37803 15.94069 16.94153 18.16638 19.40433 20.00000 20.95745 20.81448 20.40359 20.73171 21.44420 19.14661 18.61233 20.20548 19.03670 17.62821 17.05757 17.92453 16.60040 17.41683 16.73040 15.16854 16.02210 16.21160 14.67662 15.40362 15.36697 13.84731 13.38757 14.04255 13.29114 12.94821 12.84585 12.69330 13.28029 13.98559 13.35505 13.73802 13.58921 13.88013 13.76663 13.39641 13.49810 13.33643 12.81454 13.11700 12.63489 12.66433 12.68908 12.46914 12.90824 13.15193 12.98359 13.34842 
3.91504 4.14208 4.39758 4.69754 5.44098 6.03729 6.75845 7.53030 8.08242 8.87777 9.37346 9.48750 9.27798 8.92882 8.40708 7.90449 7.30437 6.92547 6.57139 6.36288 6.29742 6.24448 6.23644 6.07111 5.95705 5.99244 5.70878 5.46318 4.82270 4.31338 3.72257 3.09203 2.64840 2.10984 2.15226 2.32634 2.39200 3.04017 3.47174 4.03397 4.90473 5.31915 6.00071 6.84533 7.33276 8.14688 8.10420 8.24952 8.18686 7.91855 7.64745 7.26744 7.12267 6.72801 6.54324 6.11787 5.96483 5.46790 5.04895 5.12956 5.23256 5.34661 5.90152 6.24511 6.81077 7.20339 8.13282 9.61538 12.17811 13.30819 13.80459 14.57229 15.52718 16.45161 17.25979 17.80239 19.94220 19.87578 20.31250 21.04121 20.83333 19.25000 20.13889 19.85816 18.36493 18.77990 17.43649 17.20930 17.39130 16.70259 15.75053 16.83570 16.70000 15.56420 15.90909 15.85821 15.38462 15.82915 14.77833 14.71927 13.50746 13.14655 13.40942 12.81870 12.39946 12.15139 13.19261 12.87313 12.95844 12.78814 13.78755 14.26332 13.95593 14.25662 13.82874 13.69159 13.61991 13.55014 13.52785 13.47487 12.94266 12.81198 12.87820 12.89954 13.02428 13.54539 13.59918 
3.58885 3.75344 3.79115 4.08438 5.16014 6.14826 6.92308 7.61535 8.18414 9.02091 9.70269 9.78908 9.37151 8.92605 8.17625 7.26565 6.54268 6.06018 5.53860 5.29211 5.21991 5.23418 5.09961 5.09088 4.97692 4.52028 4.01460 3.54820 2.95348 2.49169 2.08042 1.66521 1.27971 1.17707 1.28975 1.42291 2.23343 2.77575 3.24675 3.82979 4.07303 4.25985 4.34559 5.56405 6.72015 7.65294 8.17253 8.96657 8.89892 8.47422 8.06343 7.48607 6.99926 6.54671 6.55405 6.53370 6.34864 6.14258 6.09226 5.84270 5.60231 5.66426 5.93891 6.51822 6.92745 7.68823 8.67347 11.25166 13.84820 15.53785 17.39130 17.95096 17.77879 17.68707 17.61158 18.39378 20.58252 19.19918 20.25316 19.27313 19.61039 19.61039 18.38046 19.04177 16.86893 17.23301 16.40798 17.52232 17.55889 15.36017 16.35220 15.36082 14.52906 15.42969 14.62264 15.14870 15.38462 14.27365 14.29752 14.09449 13.02003 13.25215 13.14286 12.76446 13.38912 12.86307 12.96044 13.38730 12.54545 13.13703 13.07692 12.93930 12.73101 13.58209 13.89685 14.06685 14.58707 13.90584 13.06723 13.39654 13.04348 12.61830 12.50000 12.52700 12.58065 12.81213 12.67007 
3.39361 3.44948 3.68966 4.05098 5.31123 6.60188 7.50899 7.83908 8.15873 8.66707 9.17543 9.49811 9.06797 8.55328 7.81869 6.66770 5.65402 5.21101 4.61910 4.36515 4.58188 4.71900 4.90428 5.04963 5.25333 4.57058 3.93666 3.16885 2.66953 1.82724 1.47316 1.26476 0.84444 0.93414 1.12919 1.55982 2.10655 3.02169 3.03605 3.25923 3.05344 3.03125 2.90237 4.40145 5.89275 7.00661 8.50838 9.90874 10.25164 9.71522 9.26189 8.60614 7.76326 7.29167 7.13410 7.23655 7.46058 7.58065 8.37237 7.90070 7.57613 7.81984 8.30493 8.76613 9.56333 10.41267 11.27503 13.00149 15.03937 15.81059 17.82477 18.22995 19.12442 17.87265 17.76119 17.91745 17.81377 17.88009 18.48739 18.11280 16.50124 16.33416 16.70823 18.51852 16.91176 15.77670 15.20788 15.03268 16.02564 14.48203 13.82536 14.24242 14.72332 14.60348 13.66279 14.62264 13.52834 13.62832 14.78261 13.79310 12.32772 12.39316 13.51351 13.50778 12.70833 13.33333 12.80822 12.73408 13.00863 12.37172 12.75056 12.78195 12.26899 13.50947 13.73134 13.21787 14.07895 13.95939 13.69193 13.24820 12.50000 12.92906 11.97034 12.21134 12.01365 11.84211 12.14085 
4.23004 4.36321 4.98946 5.70797 6.79785 7.95756 8.53075 8.26613 7.99627 8.11669 8.30006 8.30137 8.15856 8.10261 7.19927 6.04865 4.86834 4.24521 3.59383 3.54262 3.94997 4.53700 4.99437 5.65644 5.90480 4.97869 3.93836 3.18135 2.41853 1.63102 1.41924 1.00357 0.70053 1.07053 1.46912 1.97917 2.72953 3.40124 3.09278 3.13550 2.66502 2.44982 2.18978 3.92178 5.36640 6.63845 8.83890 10.58744 11.12790 10.95890 10.99669 10.33007 9.60809 8.87154 8.78172 8.57628 8.95852 9.07216 9.55121 9.44659 9.31385 9.58591 10.28562 10.95041 11.56745 12.80364 14.52703 14.79339 16.97248 19.18605 19.33702 19.77819 19.50549 18.88702 17.78523 17.76860 17.48927 18.33333 17.60259 16.29956 15.73604 17.99486 17.22365 18.18182 16.33416 15.01241 15.10067 15.43624 13.30472 13.53945 14.07563 12.65182 12.57426 12.28407 13.52140 14.13662 14.08840 13.36283 12.37113 13.71380 13.62876 13.24655 13.41463 12.89593 11.77686 12.08791 12.45552 12.67689 12.19512 11.60815 11.25828 11.98083 11.44201 11.41141 12.24189 12.70950 13.40160 13.46154 13.14496 12.37942 12.55778 12.13040 11.60521 11.31805 11.28692 11.31266 11.34319 
5.10449 5.47323 6.44471 7.00527 7.87205 8.53495 8.75083 8.30091 7.86017 7.85324 8.04719 8.06038 7.73133 7.10271 6.35069 5.28592 4.14911 3.81526 3.35146 3.18709 3.49551 3.97382 4.39962 5.01767 5.57541 4.67268 4.12101 3.31391 2.71101 2.29451 1.84569 1.66142 1.62881 1.84725 2.30794 2.75275 3.07896 3.43423 3.66133 3.69881 3.63977 2.90260 2.32617 3.99075 5.33798 6.68132 9.29928 11.32189 12.37064 12.94858 13.58732 13.29737 12.91562 12.46926 11.91185 11.24127 10.61835 10.28285 9.75992 9.92593 10.28169 10.99426 11.49228 12.73764 13.11813 14.72125 16.10439 17.91713 19.00978 19.96099 19.45946 19.66605 18.47134 17.08464 15.98425 16.29555 16.00832 17.20779 17.00000 15.54054 18.18182 18.05556 17.09007 17.06444 15.92506 15.84507 14.82301 13.97380 13.14655 13.29787 11.88017 12.95918 12.50000 12.87726 13.08594 13.21293 13.44294 13.92045 13.25967 13.62876 13.79310 13.37209 13.09696 13.09353 13.07107 12.73764 12.68844 12.14623 11.88811 11.78129 11.71617 11.46497 10.39501 11.07784 11.39922 12.29205 12.73047 12.87752 12.80096 12.44131 12.27477 11.86253 11.59830 10.94737 10.71182 10.68152 10.76031 
5.78155 6.47173 7.54483 8.45205 8.70330 8.50467 8.35526 7.93487 7.32759 7.58299 8.09757 8.31586 7.22737 6.17180 5.15752 4.51768 3.66890 3.54496 3.29688 3.12812 3.25856 3.37195 3.78564 4.41683 4.82611 4.38066 3.89578 3.48150 3.10304 2.86873 2.69939 2.60476 2.77458 3.05178 3.26940 3.62679 3.89864 4.39686 4.77655 5.24330 4.95658 4.44910 3.84615 5.02664 6.01306 6.94704 9.49942 11.56954 12.67066 13.48628 14.22874 14.09688 13.78246 13.38370 12.80818 12.00795 11.34720 10.53285 9.52289 10.07042 10.40398 10.98266 12.09964 13.33558 14.07054 15.34898 16.09658 18.48592 20.03817 20.40268 18.49442 19.59459 16.37520 15.03937 14.66227 14.94737 13.46983 14.74501 15.33181 15.81395 15.71429 14.78873 16.08392 16.46635 16.07143 14.18440 14.49115 14.23841 14.28571 13.85928 11.95426 12.19262 12.42545 12.50000 12.28240 12.71028 13.80309 14.47368 13.39450 14.11960 14.89362 14.41048 13.14655 12.76748 13.44697 12.07970 12.31436 12.36873 12.11073 11.90745 11.34361 10.71050 10.67358 10.41667 10.78244 11.81818 12.33822 12.56388 13.13869 12.62019 12.58824 11.86441 11.39381 10.41667 10.73241 10.87829 10.96433 
6.26589 7.11577 7.99397 8.90411 8.64106 8.31311 7.89663 7.66958 7.29799 7.38485 7.84944 7.93899 6.82679 5.81373 5.04071 4.38418 3.70988 3.47777 3.51240 3.51969 3.46724 3.27672 3.44655 3.70870 3.87860 3.60825 3.23363 3.13531 3.27565 3.50987 3.63890 4.04793 4.33754 4.51482 4.52210 4.88441 5.43006 5.63380 6.31034 6.83603 7.30401 6.72098 6.38069 6.70831 7.09993 7.80892 9.79805 11.35082 12.34005 13.04682 13.93248 13.57951 13.42300 13.03883 12.53490 11.97982 11.20317 10.28825 9.18448 9.36518 9.89366 10.12658 11.95795 13.10345 13.98986 15.76626 17.32852 17.80000 21.17052 20.35928 20.28037 17.73585 17.01445 13.33333 12.44019 12.50000 12.17105 12.07675 14.48203 12.89979 15.54524 15.06849 16.47856 16.09589 16.74208 15.86639 14.88706 13.48089 13.80368 14.38632 13.09055 13.20166 13.18458 12.72545 13.89432 12.99810 13.22751 13.91753 14.14141 14.27406 13.52000 13.52518 14.27547 13.94850 12.65306 11.94332 12.72618 11.96682 11.63194 11.37124 11.31148 10.71050 10.66597 10.77154 11.11111 11.04436 11.48116 12.10664 12.50000 11.69194 11.80341 11.78271 11.02190 10.52632 10.88362 10.84927 11.05705 
6.17032 7.12655 7.94569 8.93792 8.64106 7.83862 7.45572 7.31098 7.23404 7.17687 7.28031 7.22087 6.40530 5.56537 4.82839 4.27851 3.60028 3.65036 3.73417 3.78762 3.52336 3.27362 3.10782 3.16327 3.15423 3.16471 2.97297 2.93602 3.54459 4.09674 4.38931 4.79585 5.12465 5.19777 5.16514 5.42763 6.00944 6.58028 7.31707 8.07363 8.62979 8.38203 8.39809 8.43632 8.71849 9.00251 10.32619 11.34668 11.96134 12.19714 12.43664 12.24270 12.02731 11.67254 11.40757 10.76025 10.42726 9.44896 8.26374 8.16139 8.53767 9.11277 9.99304 11.02459 12.36264 13.60947 15.64136 17.61658 19.94434 20.00000 19.30502 18.14672 15.17857 13.03318 11.90852 11.71548 10.66098 9.60265 12.10856 10.40773 12.06089 13.38028 15.49296 16.39151 16.05081 15.55324 16.42710 15.22177 14.57906 14.45783 14.20118 13.36117 13.19018 12.65182 13.39286 14.16185 14.24731 13.80208 13.52041 13.73355 12.92407 14.09692 12.55474 12.66471 11.50628 10.94183 11.43911 10.88517 10.53551 10.39326 10.68282 10.44133 10.55143 10.45314 10.20101 10.00962 10.27397 10.43257 11.26307 11.02459 11.79245 10.96358 11.14943 11.16981 11.59091 11.37677 11.34921 
6.43344 7.01305 7.66297 8.01649 7.62271 7.04241 6.69387 6.38810 6.12533 5.89905 5.91960 5.92143 5.65553 5.31851 4.87972 4.30316 3.60591 3.44907 3.55889 3.58019 3.47988 3.29705 3.17876 3.11218 3.04729 2.85824 3.09459 3.20405 3.67505 3.96233 4.59788 4.98047 5.34351 5.36585 5.54332 5.83705 6.60273 7.19625 7.94970 8.92116 9.71789 9.89877 10.23422 10.38844 10.68789 10.69504 11.10294 11.44588 11.17418 10.54719 9.85872 9.47766 9.78015 9.57163 9.47246 9.32282 8.93595 8.25551 7.25629 7.07182 7.50444 7.42600 7.87101 8.87696 9.73905 11.40244 14.41379 15.76087 17.31518 17.90000 17.57519 18.25843 16.08187 13.05970 12.63838 10.89286 8.79713 9.45180 8.10811 8.76777 9.18142 11.90476 12.41458 14.36285 15.43340 14.79915 17.01245 15.66265 15.59356 16.43564 15.25097 14.47368 14.74104 13.56275 13.61829 13.72361 13.55634 13.52740 13.84137 13.24201 12.78366 11.31124 11.52174 9.94194 10.38136 9.22535 8.78468 9.00259 8.47029 8.63309 8.37237 7.77526 8.11380 8.17160 7.90458 7.93508 7.95357 8.53563 8.82573 9.53488 8.99042 10.27201 10.53691 10.92137 10.53259 11.07123 11.07063 
6.69559 7.15780 7.15275 7.14286 6.75034 6.27652 5.98941 5.53735 5.11658 4.91786 4.95431 4.99412 5.15295 5.41186 5.40695 4.81360 4.20222 4.14819 4.39100 4.61584 4.70746 5.02086 4.87307 4.63549 4.39973 4.34783 4.26552 4.35657 4.60218 4.60653 4.84526 5.15464 5.50605 5.56677 5.62650 5.98227 6.41262 6.71962 7.47323 7.91275 8.40118 8.67842 8.88108 9.05015 9.27427 9.34125 9.42070 9.51413 9.51388 9.05388 8.77372 9.06158 9.49064 9.64823 9.66928 9.73101 9.30064 8.27108 6.89441 6.89591 6.61600 6.58956 6.53670 6.82243 8.12102 10.44177 11.94030 14.75410 15.63107 16.70000 16.66667 17.64045 17.06444 17.16590 14.58797 12.42171 10.04098 12.25806 9.49367 9.12088 9.09091 9.12162 10.02278 10.80247 12.03704 12.66234 15.21277 15.38462 15.88115 14.49704 15.78947 13.86640 14.05941 14.24242 13.60947 15.31792 12.23776 12.50000 13.50078 11.69725 11.94030 11.21429 9.55777 9.26724 8.65651 7.74059 6.43890 6.38853 6.92308 6.25000 6.12366 6.12770 5.99572 5.54404 5.76369 5.15320 5.57065 5.74183 5.69569 6.83362 7.23039 8.37264 9.42082 9.57072 10.19821 10.28278 10.19608 
6.48452 6.88811 6.99884 6.81243 6.63556 6.36792 6.07973 5.64675 5.34673 4.89728 5.04769 5.14580 5.57723 5.98985 6.31347 5.73228 5.29303 5.40910 5.81812 6.18133 6.51638 6.95448 7.08612 6.88065 6.59108 6.40301 5.91317 5.58728 5.62232 5.03145 5.12239 5.23533 5.27731 5.57143 5.72727 6.04711 6.13748 6.03914 6.17722 6.42275 6.64016 6.70074 6.84221 6.91960 6.90400 6.98937 6.83811 6.86116 7.06307 7.61337 7.97601 8.60451 9.29368 9.88372 10.17147 10.14745 9.71979 8.38914 7.09951 6.72345 6.06258 5.38421 5.12528 4.87228 6.33117 7.40489 10.32110 11.74312 13.37209 14.61694 18.15068 18.82217 19.18317 19.13876 17.98144 17.30769 14.88706 12.50000 11.29032 9.03491 7.92683 7.18816 7.33042 8.14664 9.23237 11.25828 12.17391 13.05732 14.53975 14.68813 14.25781 14.07186 13.73308 13.31522 13.15789 12.82051 12.62215 11.73228 11.75573 11.65919 10.61947 10.54591 10.15912 8.79121 8.17844 7.38213 5.63910 5.50688 4.87053 4.23729 4.45596 4.07555 4.58052 3.99812 3.85728 3.43368 2.93006 2.67934 2.78261 3.53107 4.10765 4.57064 6.50000 7.52896 8.49515 8.49282 8.42697 
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