# sandtable generator spirograph big=100 small=43 pen=0.9 0.00000 1.00000 0.00042 0.99997 0.00083 0.99987 0.00125 0.99971 0.00167 0.99949 0.00208 0.99921 0.00250 0.99886 0.00292 0.99844 0.00334 0.99797 0.00377 0.99743 0.00419 0.99683 0.00462 0.99616 0.00505 0.99543 0.00548 0.99464 0.00591 0.99379 0.00635 0.99287 0.00679 0.99189 0.00723 0.99084 0.00768 0.98974 0.00813 0.98857 0.00858 0.98733 0.00904 0.98604 0.00950 0.98468 0.00997 0.98326 0.01044 0.98178 0.01092 0.98024 0.01140 0.97863 0.01189 0.97696 0.01238 0.97523 0.01288 0.97344 0.01338 0.97159 0.01389 0.96967 0.01441 0.96770 0.01494 0.96566 0.01547 0.96356 0.01601 0.96140 0.01655 0.95918 0.01711 0.95690 0.01767 0.95456 0.01824 0.95216 0.01882 0.94970 0.01941 0.94718 0.02001 0.94460 0.02062 0.94197 0.02124 0.93927 0.02186 0.93651 0.02250 0.93369 0.02315 0.93082 0.02381 0.92789 0.02449 0.92490 0.02517 0.92185 0.02587 0.91874 0.02657 0.91558 0.02730 0.91236 0.02803 0.90908 0.02878 0.90574 0.02954 0.90235 0.03032 0.89891 0.03111 0.89540 0.03192 0.89184 0.03274 0.88823 0.03358 0.88456 0.03444 0.88084 0.03531 0.87706 0.03620 0.87322 0.03711 0.86934 0.03804 0.86540 0.03898 0.86140 0.03995 0.85736 0.04093 0.85326 0.04194 0.84910 0.04297 0.84490 0.04402 0.84065 0.04509 0.83634 0.04618 0.83198 0.04730 0.82757 0.04844 0.82311 0.04961 0.81860 0.05080 0.81405 0.05202 0.80944 0.05327 0.80478 0.05454 0.80008 0.05584 0.79533 0.05718 0.79053 0.05854 0.78568 0.05993 0.78078 0.06136 0.77584 0.06282 0.77086 0.06431 0.76582 0.06584 0.76075 0.06740 0.75562 0.06901 0.75046 0.07064 0.74525 0.07232 0.74000 0.07404 0.73470 0.07580 0.72936 0.07760 0.72398 0.07945 0.71856 0.08134 0.71310 0.08328 0.70759 0.08527 0.70205 0.08731 0.69647 0.08940 0.69085 0.09154 0.68519 0.09374 0.67949 0.09600 0.67376 0.09831 0.66799 0.10068 0.66218 0.10312 0.65634 0.10562 0.65047 0.10818 0.64456 0.11082 0.63861 0.11352 0.63264 0.11630 0.62663 0.11916 0.62059 0.12209 0.61452 0.12511 0.60841 0.12821 0.60228 0.13139 0.59612 0.13467 0.58994 0.13804 0.58372 0.14151 0.57748 0.14508 0.57122 0.14875 0.56493 0.15254 0.55861 0.15643 0.55227 0.16044 0.54591 0.16458 0.53953 0.16884 0.53313 0.17323 0.52671 0.17776 0.52027 0.18243 0.51382 0.18724 0.50734 0.19222 0.50086 0.19735 0.49436 0.20265 0.48784 0.20812 0.48132 0.21378 0.47478 0.21963 0.46824 0.22567 0.46169 0.23192 0.45513 0.23839 0.44857 0.24508 0.44201 0.25201 0.43544 0.25919 0.42888 0.26662 0.42231 0.27432 0.41576 0.28231 0.40920 0.29060 0.40266 0.29919 0.39613 0.30811 0.38961 0.31738 0.38310 0.32700 0.37661 0.33700 0.37014 0.34739 0.36370 0.35820 0.35728 0.36945 0.35089 0.38115 0.34453 0.39334 0.33821 0.40603 0.33193 0.41925 0.32570 0.43303 0.31951 0.44740 0.31337 0.46239 0.30729 0.47802 0.30128 0.49433 0.29533 0.51135 0.28946 0.52912 0.28367 0.54767 0.27796 0.56704 0.27235 0.58727 0.26684 0.60838 0.26144 0.63043 0.25616 0.65343 0.25100 0.67744 0.24598 0.70248 0.24111 0.72858 0.23639 0.75578 0.23184 0.78408 0.22746 0.81351 0.22328 0.84409 0.21930 0.87580 0.21553 0.90864 0.21199 0.94260 0.20868 0.97765 0.20563 1.01374 0.20284 1.05081 0.20033 1.08879 0.19811 1.12761 0.19618 1.16716 0.19455 1.20732 0.19324 1.24798 0.19226 1.28899 0.19160 1.33023 0.19126 1.37154 0.19126 1.41278 0.19160 1.45379 0.19226 1.49445 0.19324 1.53461 0.19455 1.57416 0.19618 1.61297 0.19811 1.65096 0.20033 1.68803 0.20284 1.72412 0.20563 1.75917 0.20868 1.79313 0.21199 1.82597 0.21553 1.85768 0.21930 1.88826 0.22328 1.91769 0.22746 1.94599 0.23184 1.97318 0.23639 1.99929 0.24111 2.02433 0.24598 2.04834 0.25100 2.07134 0.25616 2.09339 0.26144 2.11450 0.26684 2.13473 0.27235 2.15410 0.27796 2.17265 0.28367 2.19042 0.28946 2.20744 0.29533 2.22375 0.30128 2.23938 0.30729 2.25437 0.31337 2.26874 0.31951 2.28252 0.32570 2.29574 0.33193 2.30843 0.33821 2.32062 0.34453 2.33232 0.35089 2.34357 0.35728 2.35438 0.36370 2.36477 0.37014 2.37477 0.37661 2.38439 0.38310 2.39366 0.38961 2.40258 0.39613 2.41117 0.40266 2.41946 0.40920 2.42745 0.41576 2.43515 0.42231 2.44258 0.42888 2.44976 0.43544 2.45669 0.44201 2.46338 0.44857 2.46985 0.45513 2.47610 0.46169 2.48214 0.46824 2.48799 0.47478 2.49365 0.48132 2.49912 0.48784 2.50442 0.49436 2.50955 0.50086 2.51452 0.50734 2.51934 0.51382 2.52401 0.52027 2.52854 0.52671 2.53293 0.53313 2.53719 0.53953 2.54133 0.54591 2.54534 0.55227 2.54923 0.55861 2.55302 0.56493 2.55669 0.57122 2.56026 0.57748 2.56373 0.58372 2.56710 0.58994 2.57038 0.59612 2.57356 0.60228 2.57666 0.60841 2.57968 0.61452 2.58261 0.62059 2.58547 0.62663 2.58825 0.63264 2.59095 0.63861 2.59359 0.64456 2.59615 0.65047 2.59865 0.65634 2.60109 0.66218 2.60346 0.66799 2.60577 0.67376 2.60803 0.67949 2.61023 0.68519 2.61237 0.69085 2.61446 0.69647 2.61650 0.70205 2.61848 0.70759 2.62042 0.71310 2.62232 0.71856 2.62417 0.72398 2.62597 0.72936 2.62773 0.73470 2.62945 0.74000 2.63113 0.74525 2.63276 0.75046 2.63437 0.75562 2.63593 0.76075 2.63746 0.76582 2.63895 0.77086 2.64041 0.77584 2.64184 0.78078 2.64323 0.78568 2.64459 0.79053 2.64592 0.79533 2.64723 0.80008 2.64850 0.80478 2.64975 0.80944 2.65097 0.81405 2.65216 0.81860 2.65333 0.82311 2.65447 0.82757 2.65559 0.83198 2.65668 0.83634 2.65775 0.84065 2.65880 0.84490 2.65983 0.84910 2.66084 0.85326 2.66182 0.85736 2.66279 0.86140 2.66373 0.86540 2.66466 0.86934 2.66557 0.87322 2.66646 0.87706 2.66733 0.88084 2.66819 0.88456 2.66903 0.88823 2.66985 0.89184 2.67066 0.89540 2.67145 0.89891 2.67223 0.90235 2.67299 0.90574 2.67374 0.90908 2.67447 0.91236 2.67519 0.91558 2.67590 0.91874 2.67660 0.92185 2.67728 0.92490 2.67796 0.92789 2.67862 0.93082 2.67927 0.93369 2.67991 0.93651 2.68053 0.93927 2.68115 0.94197 2.68176 0.94460 2.68236 0.94718 2.68295 0.94970 2.68353 0.95216 2.68410 0.95456 2.68466 0.95690 2.68522 0.95918 2.68576 0.96140 2.68630 0.96356 2.68683 0.96566 2.68736 0.96770 2.68788 0.96967 2.68839 0.97159 2.68889 0.97344 2.68939 0.97523 2.68988 0.97696 2.69037 0.97863 2.69085 0.98024 2.69133 0.98178 2.69180 0.98326 2.69227 0.98468 2.69273 0.98604 2.69319 0.98733 2.69364 0.98857 2.69409 0.98974 2.69454 0.99084 2.69498 0.99189 2.69542 0.99287 2.69586 0.99379 2.69629 0.99464 2.69672 0.99543 2.69715 0.99616 2.69758 0.99683 2.69800 0.99743 2.69843 0.99797 2.69885 0.99844 2.69927 0.99886 2.69969 0.99921 2.70010 0.99949 2.70052 0.99971 2.70094 0.99987 2.70135 0.99997 2.70177 1.00000 2.70219 0.99997 2.70260 0.99987 2.70302 0.99971 2.70344 0.99949 2.70385 0.99921 2.70427 0.99886 2.70469 0.99844 2.70511 0.99797 2.70554 0.99743 2.70596 0.99683 2.70639 0.99616 2.70682 0.99543 2.70725 0.99464 2.70768 0.99379 2.70812 0.99287 2.70856 0.99189 2.70900 0.99084 2.70945 0.98974 2.70990 0.98857 2.71035 0.98733 2.71081 0.98604 2.71127 0.98468 2.71174 0.98326 2.71221 0.98178 2.71269 0.98024 2.71317 0.97863 2.71366 0.97696 2.71415 0.97523 2.71465 0.97344 2.71515 0.97159 2.71566 0.96967 2.71618 0.96770 2.71671 0.96566 2.71724 0.96356 2.71778 0.96140 2.71832 0.95918 2.71888 0.95690 2.71944 0.95456 2.72001 0.95216 2.72059 0.94970 2.72118 0.94718 2.72178 0.94460 2.72239 0.94197 2.72301 0.93927 2.72363 0.93651 2.72427 0.93369 2.72492 0.93082 2.72558 0.92789 2.72626 0.92490 2.72694 0.92185 2.72764 0.91874 2.72834 0.91558 2.72907 0.91236 2.72980 0.90908 2.73055 0.90574 2.73131 0.90235 2.73209 0.89891 2.73288 0.89540 2.73369 0.89184 2.73451 0.88823 2.73535 0.88456 2.73621 0.88084 2.73708 0.87706 2.73797 0.87322 2.73888 0.86934 2.73981 0.86540 2.74075 0.86140 2.74172 0.85736 2.74270 0.85326 2.74371 0.84910 2.74474 0.84490 2.74579 0.84065 2.74686 0.83634 2.74795 0.83198 2.74907 0.82757 2.75021 0.82311 2.75138 0.81860 2.75257 0.81405 2.75379 0.80944 2.75504 0.80478 2.75631 0.80008 2.75761 0.79533 2.75895 0.79053 2.76031 0.78568 2.76170 0.78078 2.76313 0.77584 2.76459 0.77086 2.76608 0.76582 2.76761 0.76075 2.76917 0.75562 2.77077 0.75046 2.77241 0.74525 2.77409 0.74000 2.77581 0.73470 2.77757 0.72936 2.77937 0.72398 2.78122 0.71856 2.78311 0.71310 2.78505 0.70759 2.78704 0.70205 2.78908 0.69647 2.79117 0.69085 2.79331 0.68519 2.79551 0.67949 2.79777 0.67376 2.80008 0.66799 2.80245 0.66218 2.80489 0.65634 2.80739 0.65047 2.80995 0.64456 2.81259 0.63861 2.81529 0.63264 2.81807 0.62663 2.82093 0.62059 2.82386 0.61452 2.82688 0.60841 2.82998 0.60228 2.83316 0.59612 2.83644 0.58994 2.83981 0.58372 2.84328 0.57748 2.84685 0.57122 2.85052 0.56493 2.85431 0.55861 2.85820 0.55227 2.86221 0.54591 2.86635 0.53953 2.87061 0.53313 2.87500 0.52671 2.87953 0.52027 2.88420 0.51382 2.88901 0.50734 2.89399 0.50086 2.89912 0.49436 2.90442 0.48784 2.90989 0.48132 2.91555 0.47478 2.92140 0.46824 2.92744 0.46169 2.93369 0.45513 2.94016 0.44857 2.94685 0.44201 2.95378 0.43544 2.96096 0.42888 2.96839 0.42231 2.97609 0.41576 2.98408 0.40920 2.99237 0.40266 3.00096 0.39613 3.00988 0.38961 3.01915 0.38310 3.02877 0.37661 3.03877 0.37014 3.04916 0.36370 3.05997 0.35728 3.07122 0.35089 3.08292 0.34453 3.09511 0.33821 3.10780 0.33193 3.12102 0.32570 3.13480 0.31951 3.14917 0.31337 3.16416 0.30729 3.17979 0.30128 3.19610 0.29533 3.21312 0.28946 3.23089 0.28367 3.24944 0.27796 3.26881 0.27235 3.28904 0.26684 3.31015 0.26144 3.33220 0.25616 3.35520 0.25100 3.37921 0.24598 3.40425 0.24111 3.43035 0.23639 3.45755 0.23184 3.48585 0.22746 3.51528 0.22328 3.54586 0.21930 3.57757 0.21553 3.61041 0.21199 3.64437 0.20868 3.67942 0.20563 3.71551 0.20284 3.75258 0.20033 3.79056 0.19811 3.82938 0.19618 3.86893 0.19455 3.90909 0.19324 3.94975 0.19226 3.99076 0.19160 4.03200 0.19126 4.07331 0.19126 4.11455 0.19160 4.15556 0.19226 4.19622 0.19324 4.23638 0.19455 4.27593 0.19618 4.31474 0.19811 4.35273 0.20033 4.38980 0.20284 4.42589 0.20563 4.46094 0.20868 4.49490 0.21199 4.52774 0.21553 4.55945 0.21930 4.59003 0.22328 4.61946 0.22746 4.64776 0.23184 4.67495 0.23639 4.70106 0.24111 4.72610 0.24598 4.75010 0.25100 4.77311 0.25616 4.79516 0.26144 4.81627 0.26684 4.83650 0.27235 4.85587 0.27796 4.87442 0.28367 4.89219 0.28946 4.90921 0.29533 4.92552 0.30128 4.94115 0.30729 4.95614 0.31337 4.97050 0.31951 4.98429 0.32570 4.99751 0.33193 5.01020 0.33821 5.02238 0.34453 5.03409 0.35089 5.04533 0.35728 5.05614 0.36370 5.06654 0.37014 5.07654 0.37661 5.08616 0.38310 5.09543 0.38961 5.10435 0.39613 5.11294 0.40266 5.12123 0.40920 5.12921 0.41576 5.13692 0.42231 5.14435 0.42888 5.15153 0.43544 5.15846 0.44201 5.16515 0.44857 5.17162 0.45513 5.17787 0.46169 5.18391 0.46824 5.18976 0.47478 5.19541 0.48132 5.20089 0.48784 5.20619 0.49436 5.21132 0.50086 5.21629 0.50734 5.22111 0.51382 5.22578 0.52027 5.23031 0.52671 5.23470 0.53313 5.23896 0.53953 5.24310 0.54591 5.24711 0.55227 5.25100 0.55861 5.25479 0.56493 5.25846 0.57122 5.26203 0.57748 5.26550 0.58372 5.26887 0.58994 5.27215 0.59612 5.27533 0.60228 5.27843 0.60841 5.28145 0.61452 5.28438 0.62059 5.28724 0.62663 5.29002 0.63264 5.29272 0.63861 5.29536 0.64456 5.29792 0.65047 5.30042 0.65634 5.30286 0.66218 5.30523 0.66799 5.30754 0.67376 5.30980 0.67949 5.31200 0.68519 5.31414 0.69085 5.31623 0.69647 5.31827 0.70205 5.32025 0.70759 5.32219 0.71310 5.32409 0.71856 5.32593 0.72398 5.32774 0.72936 5.32950 0.73470 5.33122 0.74000 5.33290 0.74525 5.33453 0.75046 5.33614 0.75562 5.33770 0.76075 5.33923 0.76582 5.34072 0.77086 5.34218 0.77584 5.34361 0.78078 5.34500 0.78568 5.34636 0.79053 5.34769 0.79533 5.34900 0.80008 5.35027 0.80478 5.35152 0.80944 5.35274 0.81405 5.35393 0.81860 5.35510 0.82311 5.35624 0.82757 5.35736 0.83198 5.35845 0.83634 5.35952 0.84065 5.36057 0.84490 5.36160 0.84910 5.36261 0.85326 5.36359 0.85736 5.36456 0.86140 5.36550 0.86540 5.36643 0.86934 5.36734 0.87322 5.36823 0.87706 5.36910 0.88084 5.36996 0.88456 5.37080 0.88823 5.37162 0.89184 5.37243 0.89540 5.37322 0.89891 5.37400 0.90235 5.37476 0.90574 5.37551 0.90908 5.37624 0.91236 5.37696 0.91558 5.37767 0.91874 5.37837 0.92185 5.37905 0.92490 5.37973 0.92789 5.38039 0.93082 5.38104 0.93369 5.38168 0.93651 5.38230 0.93927 5.38292 0.94197 5.38353 0.94460 5.38413 0.94718 5.38472 0.94970 5.38530 0.95216 5.38587 0.95456 5.38643 0.95690 5.38699 0.95918 5.38753 0.96140 5.38807 0.96356 5.38860 0.96566 5.38913 0.96770 5.38965 0.96967 5.39016 0.97159 5.39066 0.97344 5.39116 0.97523 5.39165 0.97696 5.39214 0.97863 5.39262 0.98024 5.39310 0.98178 5.39357 0.98326 5.39404 0.98468 5.39450 0.98604 5.39496 0.98733 5.39541 0.98857 5.39586 0.98974 5.39631 0.99084 5.39675 0.99189 5.39719 0.99287 5.39763 0.99379 5.39806 0.99464 5.39849 0.99543 5.39892 0.99616 5.39935 0.99683 5.39977 0.99743 5.40020 0.99797 5.40062 0.99844 5.40104 0.99886 5.40146 0.99921 5.40187 0.99949 5.40229 0.99971 5.40271 0.99987 5.40312 0.99997 5.40354 1.00000 5.40396 0.99997 5.40437 0.99987 5.40479 0.99971 5.40520 0.99949 5.40562 0.99921 5.40604 0.99886 5.40646 0.99844 5.40688 0.99797 5.40731 0.99743 5.40773 0.99683 5.40816 0.99616 5.40859 0.99543 5.40902 0.99464 5.40945 0.99379 5.40989 0.99287 5.41033 0.99189 5.41077 0.99084 5.41122 0.98974 5.41167 0.98857 5.41212 0.98733 5.41258 0.98604 5.41304 0.98468 5.41351 0.98326 5.41398 0.98178 5.41446 0.98024 5.41494 0.97863 5.41542 0.97696 5.41592 0.97523 5.41642 0.97344 5.41692 0.97159 5.41743 0.96967 5.41795 0.96770 5.41847 0.96566 5.41901 0.96356 5.41955 0.96140 5.42009 0.95918 5.42065 0.95690 5.42121 0.95456 5.42178 0.95216 5.42236 0.94970 5.42295 0.94718 5.42355 0.94460 5.42416 0.94197 5.42478 0.93927 5.42540 0.93651 5.42604 0.93369 5.42669 0.93082 5.42735 0.92789 5.42802 0.92490 5.42871 0.92185 5.42941 0.91874 5.43011 0.91558 5.43084 0.91236 5.43157 0.90908 5.43232 0.90574 5.43308 0.90235 5.43386 0.89891 5.43465 0.89540 5.43546 0.89184 5.43628 0.88823 5.43712 0.88456 5.43798 0.88084 5.43885 0.87706 5.43974 0.87322 5.44065 0.86934 5.44158 0.86540 5.44252 0.86140 5.44349 0.85736 5.44447 0.85326 5.44548 0.84910 5.44651 0.84490 5.44755 0.84065 5.44863 0.83634 5.44972 0.83198 5.45084 0.82757 5.45198 0.82311 5.45315 0.81860 5.45434 0.81405 5.45556 0.80944 5.45681 0.80478 5.45808 0.80008 5.45938 0.79533 5.46072 0.79053 5.46208 0.78568 5.46347 0.78078 5.46490 0.77584 5.46636 0.77086 5.46785 0.76582 5.46938 0.76075 5.47094 0.75562 5.47254 0.75046 5.47418 0.74525 5.47586 0.74000 5.47758 0.73470 5.47934 0.72936 5.48114 0.72398 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