Input: 0.04405283 0.0049352394 0.006344546 0.005532373 0.003488612 0.0020952998 0.0018340537 0.0018482711 0.005056088 0.0016261232 0.026064178 0.0015621446 0.0035739166 0.026154814 0.0011960447 0.0061330614 0.033512354 0.025699856 0.0012440287 0.0012493603 0.0023227793 0.0019317988 0.0012315884 0.0010574243 0.001885592 0.000879706 0.00092591275 0.0011018539 0.0013808719 0.0010396525 0.0010503157 0.025744285 0.0032717953 0.0010183263 0.0008868147 0.001188936 0.0032131483 0.0011551694 0.00089570065 0.0009685652 0.0012138166 0.0009099181 0.0009205812 0.0019584566 0.0012049306 0.001140952 0.001034321 0.0009987773 0.0017842925 0.001295567 0.0012653549 0.0043541 0.0014857256 0.001643895 0.001469731 0.0012369199 0.0018287222 0.0022783496 0.0013737631 0.0030887455 0.0015781393 0.0016261232 0.0013862033 0.0013417738 0.0020455385 0.001295567 0.0013595456 0.0013417738 0.0023476598 0.0043327743 0.0018571571 0.0013293335 0.0015443728 0.0013222247 0.00096145645 0.00085837976 0.0015319324 0.026929665 0.0012493603 0.0010360981 0.0039524566 0.0018002872 0.02584736 0.0028186135 0.0017523032 0.0023849807 0.0027795155 0.026744839 0.0012706864 0.0028506028 0.0009347987 0.0013915349 0.0012333655 0.002765298 0.0018216134 0.0017274227 0.0011995991 0.0017896241 0.0010023316 0.0013613228 0.0016634441 0.002610683 0.0016776616 0.0010947452 0.027210461 0.0018002872 0.0029003639 0.001121403 0.0018962551 0.001149838 0.0018216134 0.001739863 0.0020384297 0.0011000768 0.0020526473 0.0016741072 0.0071389475 0.007300671 0.0012937898 0.0010876365 0.0013897577 0.0012315884 0.0008459395 0.0008388308 0.0014555135 0.0022108166 0.001354214 0.0012404743 0.02667553 0.0018642658 0.0010449841 0.0077023148 0.0022463603 0.0069487887 0.00105387 0.0008477167 0.0014555135 0.004844603 0.0016492265 0.012481161 0.0012404743 0.004805505 0.00085127103 0.0009099181 0.0010360981 0.00072331383 0.0007784065 0.00079262396 0.0010378753 0.0010325438 0.00075352594 0.0007890696 0.00092946715 0.0012529145 0.00076418906 0.00092946715 0.00093835307 0.000899255 0.00079617836 0.0015390412 0.02623301 0.0015301553 0.0011125171 0.0013026757 0.0011942675 0.0010592015 0.0008032871 0.00074997154 0.0010716418 0.0009045866 0.00081572734 0.0009134725 0.0010272122 0.000879706 0.0008885919 0.025429724 0.0014253014 0.0007784065 0.00076418906 0.00092768995 0.0010041088 0.0014679538 0.0023512142 0.0011196258 0.0013062301 0.00088326033 0.00091524963 0.0010627559 0.0009738967 0.001469731 0.0013631 0.0010876365 0.0050703054 0.0022588007 0.0019389075 0.0032895673 0.003150947 0.025600333 0.002127289 0.002534264 0.026112162 0.0017576348 0.0012582461 0.0010307666 0.0034868347 0.0008885919 0.001121403 0.0010165492 0.0013915349 0.025547016 0.025872242 0.0012386971 0.001034321 0.0008690429 0.0010876365 0.0010112176 0.00148928 0.0009810055 0.0010360981 0.0012564689 0.025792269 0.0009347987 0.0009116953 0.001034321 0.0019975547 0.001073419 0.0010005545 0.02536219 0.0015745849 0.001149838 0.0009312443 0.0008441623 0.007242024 0.0021237347 0.000879706 0.0030016634 0.02700253 0.0009703424 0.0009738967 0.0009738967 0.0030443158 0.0009792283 0.0013950893 0.001286681 0.0014999431 0.0009454618 0.0029945548 0.0018233906 0.0029128043 0.0015194921 0.0011285117 0.0012475831 0.0026249005 0.003046093 0.0042972304 0.027109161 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0015753307 6.860886e-05 1.9602532e-05 8.910241e-06 8.910241e-06 6.237169e-06 3.5640967e-06 8.019218e-06 8.910241e-06 1.7820483e-06 1.6038435e-05 2.9403798e-05 1.4256387e-05 1.069229e-05 4.4551207e-06 4.009609e-05 0.001433658 0.000101576756 5.7025547e-05 7.1281934e-06 3.5640966e-05 2.4948677e-05 2.9403798e-05 2.6730726e-05 8.019218e-06 1.7820483e-06 1.6038435e-05 2.7621749e-05 3.5640967e-06 1.069229e-05 4.4551207e-06 3.653199e-05 0.0013721773 6.237169e-05 5.0788378e-05 1.15833145e-05 5.8807596e-05 4.8115307e-05 0.00012207031 6.504476e-05 4.4551207e-06 3.5640967e-06 4.4551207e-06 3.5640967e-06 8.910242e-07 8.910242e-07 8.910242e-07 1.5147411e-05 0.0022685477 0.0001586023 4.0987114e-05 3.7423015e-05 4.900633e-05 3.5640966e-05 2.5839701e-05 3.5640966e-05 4.009609e-05 2.8512773e-05 4.455121e-05 2.4057654e-05 0.000103358805 9.6230615e-05 2.4057654e-05 0.00063708227 0.0012109019 5.791657e-05 0.00035730068 6.237169e-05 0.00012474338 0.000103358805 0.0011360558 0.0005123389 6.415374e-05 6.237169e-06 0.0 0.0 9.801266e-06 8.910242e-07 0.0 3.5640967e-06 0.00089815236 3.831404e-05 2.5839701e-05 2.4948677e-05 0.00013454465 9.8903685e-05 0.00033413406 0.00016483947 9.801266e-06 8.019218e-06 7.1281934e-06 8.019218e-06 6.237169e-06 3.4749944e-05 1.5147411e-05 1.6038435e-05 0.004570954 0.00040096088 0.0008179602 0.0009542869 0.001108434 0.0006825245 0.0041441536 0.0020065864 0.00019246123 0.0001363267 0.00015147412 0.00012919851 0.0002174099 0.00024414062 0.00014078182 0.0005257043 0.0059279837 0.0007039091 0.0008705306 0.004839152 0.0010799213 0.00083488965 0.0020671762 0.0012126839 0.0005461978 0.00038581347 0.0004535313 0.00038135835 0.00062817207 0.000663813 0.00043392877 0.0008687486 0.051157262 0.06574155 0.00078766537 0.0016724524 0.022626668 0.04452804 0.022582117 0.0020457916 0.02668261 0.00041521728 0.04364682 0.0012028826 0.0449593 0.06542345 0.044756144 0.008852325 0.02222036 0.0062407334 0.0026989123 0.0036460708 0.0046680756 0.007330456 0.002881572 0.0064367587 0.01492911 0.0015405808 0.0016751254 0.0029982964 0.0075745964 0.0021865733 0.00600283 0.016459 0.032044794 0.010503393 0.0048079663 0.00695979 0.008146634 0.012550967 0.0048845946 0.01036172 0.020915011 0.0018675866 0.0035836992 0.0029029567 0.012837877 0.004353544 0.009796811 0.019541051 0.015954679 0.018282034 0.01143986 0.010842873 0.013347542 0.015913691 0.013864337 0.011406001 0.013335068 0.010609425 0.016376134 0.011210866 0.016345838 0.018535085 0.016015269 0.010973854 1685.0 9.924629 16723.0 0.03701489 0.0019135323 0.0033486814 0.0026311069 0.007713927 0.004126054 0.002571309 0.0029300964 0.0038270645 0.002033128 0.0027507027 0.0032888835 0.005023022 0.008371703 0.0059797885 0.0034084793 0.012258566 0.008790289 0.007594331 0.010046044 0.0079531185 0.0068169585 0.010225438 0.007594331 0.009687257 0.008252108 0.0074747354 0.0075345333 0.009567661 0.0074149375 0.008311906 0.0063385754 0.0034682772 0.008790289 0.0029300964 0.009388268 0.008371703 0.0063983733 0.009866651 0.0066973628 0.0067571606 0.010464629 0.0027507027 0.0032888835 0.0074149375 0.016444419 0.005621001 0.0053220117 0.025473898 0.004604437 0.018477546 0.033785805 0.009747055 0.0043652453 0.025174908 0.015009269 0.004126054 0.0034084793 0.0031692877 0.003587873 0.004006458 0.0027507027 0.0047240327 0.005142618 0.0032290856 0.03157328 0.0068169585 0.018238354 0.01608563 0.0536985 0.0079531185 0.009268672 0.023081983 0.030138133 0.0060395864 0.004484841 0.024397537 0.012258566 0.036775697 0.029839143 0.013633917 0.0029898942 0.029779347 0.023859356 0.04263589 0.01752078 0.005740597 0.004664235 0.0054416074 0.0074149375 0.0037672666 0.00310949 0.0026909048 0.0026909048 0.0030496921 0.0028105006 6.064986 1.0 0.0 0.0 12.0 562688.0 626688.0 1.0 38.0 100.0 1.0 1.0 0.0 0.0 0.0 1372285400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 164864.0 1024.0 4096.0 6.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 -7168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -530944.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.683039 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.5819654 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.3540468 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.699824 0.0 4.1495028 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6796.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16554.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -50568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -533004.0 0.0 1384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 2.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1098.0 187488.0 60.0 185140.0 1384.0 245760.0 0.0 0.0 0.0 0.0 6608.0 249856.0 28.0 172496.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 182904.0 0.0 0.0 408.0 172032.0 0.0 0.0 0.0 0.0


Input: 0.22408362 0.023683684 0.014195266 0.010936032 0.010009203 0.0052498966 0.01957234 0.005481278 0.00931269 0.007885799 0.009275272 0.0054272814 0.0031528985 0.0026626633 0.0027719596 0.0028553233 0.0024602932 0.0037234183 0.0038597132 0.003450947 0.00333052 0.002558577 0.00274804 0.0034374478 0.0027753937 0.0034978392 0.0019281396 0.0022961712 0.0021384433 0.0021567976 0.0012240483 0.0027042266 0.008033935 0.0016131576 0.0012285481 0.0016191967 0.0011974052 0.015889892 0.016189363 0.0012075887 0.012380449 0.0018341186 0.007881535 0.0018578015 0.0023351295 0.0027118053 0.0017340586 0.0013329894 0.01093544 0.005151968 0.005065407 0.0054193474 0.005264225 0.005326274 0.00507642 0.004885181 0.007076792 0.0050875507 0.0031686474 0.0014548377 0.0019612955 0.0012969915 0.0023269588 0.0012157593 0.0014459566 0.0032415907 0.0022993684 0.005135864 0.0030620748 0.0041015153 0.00277492 0.0015591608 0.0015605817 0.0024941599 0.0010051003 0.0013520542 0.0020838543 0.0022902505 0.0018509335 0.0017898317 0.002932411 0.0011409215 0.0022381481 0.0040627937 0.0033386904 0.0019127458 0.0021879405 0.0020392123 0.0013530015 0.0012432315 0.0010312699 0.0010158761 0.001053295 0.0010180075 0.00093405176 0.006332085 0.0018422892 0.013982476 0.0076294313 0.011241422 0.009420092 0.024687719 0.0062122494 0.006269444 0.0027448428 0.009948931 0.0024161248 0.002622284 0.009108781 0.0041659325 0.010041767 0.017249407 0.0058997544 0.0012389686 0.0093393335 0.0085398005 0.014441923 0.004633906 0.002127194 0.0021779938 0.0016657335 0.0031695948 0.0012846765 0.0026218104 0.002637441 0.002398718 0.003976233 0.0010026137 0.002131457 0.0013435283 0.0017000737 0.0013024386 0.0011948 0.0015858039 0.003951129 0.0010707019 0.00118509 0.0012026153 0.0009823648 0.0019504015 0.001428313 0.0012158777 0.0010708203 0.0010020216 0.0010731885 0.0013192534 0.00096957607 0.0012891762 0.0010402694 0.0009788123 0.0037771785 0.00094352494 0.0010801749 0.0010379012 0.0015701732 0.0011808272 0.0011129758 0.0010208494 0.0009867462 0.0010139814 0.0013496858 0.0013720662 0.001597527 0.0012306796 0.004982399 0.0011263565 0.0010408615 0.0012061677 0.0011396189 0.0011839059 0.0010267701 0.0014427595 0.0011102522 0.0010191917 0.0010119684 0.0012669143 0.0011627098 0.0010113763 0.0010424008 0.0015854487 0.0020717762 0.0010422824 0.0010188364 0.0012856238 0.0010557816 0.001015284 0.0009582083 0.0010986476 0.0011397373 0.0014092482 0.00097502314 0.0010306778 0.0013457782 0.0015361883 0.0009314467 0.0012607567 0.0010794644 0.0029391607 0.0016572077 0.0010855036 0.0011134495 0.0011181859 0.00094968244 0.0009893512 0.0011822481 0.0009624712 0.00091913156 0.0010267701 0.0017089548 0.0010009558 0.00090539554 0.0012672695 0.0045154914 0.000960695 0.0009093032 0.00092623645 0.001221088 0.0010355328 0.0009715891 0.00096957607 0.0010582684 0.0010016663 0.001100779 0.0011548944 0.0014036827 0.0011955105 0.0010761489 0.002197177 0.0009914828 0.0009576162 0.0019408099 0.00092990726 0.001028428 0.0010011927 0.0008747262 0.0009785756 0.001033046 0.00091131625 0.00085921393 0.0009201973 0.0009836673 0.00097608886 0.0008547142 0.0008891728 0.0013475544 0.0009840226 0.0028971236 0.00090646127 0.0010178891 0.0009402093 0.0009413935 0.0009268285 0.0010505714 0.00091546075 0.0012470207 0.008070998 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0033687616 1.5336507e-05 0.00012239598 0.013715872 1.4448293e-05 1.5691794e-05 0.008924545 0.00031869145 1.1961291e-05 5.862217e-06 4.4410735e-06 7.0465035e-06 2.0073654e-05 2.1909298e-06 0.00024864092 4.9147884e-06 0.012112703 0.00014631858 0.00061760534 0.011478399 0.00021814553 0.0003871432 0.008049358 0.0012869639 0.00014590408 4.8022812e-05 8.366983e-05 7.9406396e-05 8.426197e-05 0.00034385754 0.0005013676 7.052425e-05 0.03346213 0.0012527973 0.0026970345 0.006744096 0.0032700514 0.0027548277 0.02221739 0.007985643 0.00075142964 0.00039851235 0.00046637194 0.00036547077 0.00054631126 0.0015194394 0.00095441635 0.0005951631 0.053804614 0.0025836981 0.006397278 0.0077386596 0.011133594 0.010713528 0.057888627 0.02691492 0.0016813905 0.00053304725 0.0012586595 0.0007822211 0.0009911292 0.002268678 0.0008013473 0.0012658244 0.072761364 0.0047261906 0.018583644 0.010097403 0.004548725 0.0036737153 0.01716771 0.009165014 0.0017570663 0.002010622 0.0027010017 0.001269555 0.0014561393 0.0019615926 0.001569653 0.0017773769 0.07570852 0.009180292 0.019022955 0.0051916745 0.003212732 0.0018893512 0.0059198327 0.005656033 0.0029272004 0.0025818625 0.0032648405 0.002393265 0.0032529978 0.0017033591 0.0017777914 0.0041465415 0.063364826 0.011580958 0.016815681 0.0037198432 0.0033318712 0.0020834557 0.006432155 0.003739088 0.0039884397 0.0024344781 0.003354195 0.0022535191 0.0020497628 0.0018133792 0.0014964642 0.0054249787 0.029176965 0.0050295456 0.005047606 0.002461539 0.0026224835 0.0025399982 0.003054156 0.0024899028 0.0034754658 0.002669559 0.0023403275 0.00221805 0.002163099 0.0015566259 0.0014578565 0.0021552234 0.003283493 0.00046187168 0.0004806426 0.00034510103 0.00038530756 0.00048010968 0.0005299681 0.00034628532 0.00030803288 0.00047714895 0.00034296932 0.00028428793 0.00031507938 0.0002585297 0.00021891533 0.00021376368 0.00014430529 1.5277294e-05 2.333044e-05 1.5158865e-05 2.8837372e-05 6.5550244e-05 5.2049385e-05 1.385615e-05 1.5632579e-05 1.37969355e-05 1.634315e-05 1.8889366e-05 1.7053722e-05 1.675765e-05 1.4448293e-05 1.37969355e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00932436 0.009300911 0.009242941 0.009211261 0.009281193 0.009232992 0.009354678 0.009243118 0.009256559 0.009224051 0.00927687 0.009233229 0.009203208 0.00926479 0.009260172 0.009282732 85999.0 22.942162 1973003.0 0.0019482991 0.00025494132 0.00024328397 0.0003715149 0.0002716671 0.0031485 0.0032240194 0.00024683186 0.00072174246 0.00024885923 0.000387227 0.0004941706 0.0005833747 0.00026761237 0.0015848937 0.00031170758 0.017372502 0.017020248 0.016974632 0.017207272 0.017188013 0.016809909 0.01710489 0.016451571 0.016789636 0.016523544 0.00034870702 0.00024683186 0.0020587905 0.00047592426 0.00200912 0.00026507815 0.0002387224 0.0075134197 0.004382659 0.010710577 0.008068412 0.004580328 0.006763801 0.0017354257 0.0020770368 0.0061343038 0.00038925436 0.001408006 0.0045489036 0.005589956 0.0038540235 0.0035793155 0.007880373 0.000582361 0.0056370925 0.013064856 0.0092052575 0.0035975617 0.003232129 0.0030157075 0.0009908753 0.0010268611 0.0003314744 0.00021287348 0.00021338032 0.00021996925 0.00021490084 0.022790132 0.00026254394 0.053667936 0.028242735 0.04362183 0.035400353 0.101456 0.021451058 0.022957897 0.0073192995 0.03772625 0.00032640598 0.006828677 0.034121085 0.013495672 0.038615756 0.043735363 0.012887969 0.0008165218 0.035924934 0.030574206 0.05663651 0.015681678 0.005024321 0.0051059225 0.002729849 0.00958995 0.0016102358 0.00023669502 0.00022148978 0.00026710553 0.00028535182 0.00023314713 5.378378 1.0 6.0 5.0 20.0 8444928.0 8470528.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1540927100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 8442880.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8442880.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4397182 0.0 3.1252372 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8442788.0 0.0 820.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 87.0 8450884.0 820.0 8462336.0 0.0 0.0 0.0 0.0 12.0 8454144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.11569602 0.016887626 0.012543403 0.014224274 0.011975221 0.012176452 0.009331597 0.010495581 0.010523201 0.009532828 0.008132102 0.009240846 0.008881787 0.008751579 0.0073350696 0.011493845 0.008664773 0.008049242 0.006530145 0.007970328 0.01559738 0.009710385 0.006518308 0.0069760103 0.006455177 0.0072403722 0.005666035 0.0067037563 0.0059067234 0.0065222536 0.005796244 0.006076389 0.008487216 0.007962436 0.0057883523 0.006293403 0.0064591225 0.0060172034 0.004845328 0.0054884786 0.005267519 0.00533065 0.0042100693 0.00557923 0.0047861426 0.0050426135 0.0044073546 0.004920297 0.004703283 0.0048413826 0.004304766 0.0062697288 0.004068024 0.006261837 0.0039654355 0.0045494004 0.004217961 0.0050860164 0.0042889835 0.0058120266 0.00404435 0.0043757893 0.0035511365 0.0041706124 0.004363952 0.0047309026 0.003543245 0.004920297 0.0038076073 0.008672664 0.004415246 0.004434975 0.003527462 0.003937816 0.0030263574 0.0035787562 0.0034840594 0.004513889 0.003259154 0.0036458333 0.006143466 0.0035669191 0.00309738 0.0058435923 0.0032986111 0.0047861426 0.0041824495 0.0048058713 0.0031999685 0.0042771464 0.0027698863 0.003219697 0.0031762943 0.003626105 0.0031881314 0.0034682765 0.002773832 0.004142992 0.0025528725 0.0037208018 0.0036497791 0.005792298 0.003057923 0.0032670454 0.0050149937 0.0040325127 0.0047861426 0.0026988636 0.0039654355 0.0029947916 0.0035314078 0.0039772727 0.0033775254 0.0026357323 0.003866793 0.003890467 0.0070115216 0.007165404 0.0025252525 0.003113163 0.00226089 0.0025528725 0.0018426452 0.0021622474 0.0034288194 0.0034288194 0.0020320392 0.0023200759 0.0037918244 0.0023713699 0.0017558397 0.005926452 0.002951389 0.0044823233 0.0017597853 0.0018623738 0.0020162563 0.0048611113 0.0025962752 0.0074297665 0.0017203282 0.0041508838 0.0015861742 0.0016414141 0.0018031881 0.0017005998 0.0014125631 0.001657197 0.0015664457 0.0016532512 0.0013849431 0.0016098485 0.0012744634 0.0014875316 0.001211332 0.0015190972 0.0013375947 0.0015861742 0.0013020834 0.0013297033 0.0018465909 0.0015940657 0.0011679293 0.00223327 0.0012863005 0.0012665719 0.0010653409 0.0012468435 0.0011955493 0.0013573233 0.0010732323 0.0013928346 0.0011245265 0.0012665719 0.0009864267 0.0012507892 0.0011639836 0.0010732323 0.0009193497 0.001049558 0.0010574495 0.00097458967 0.0016650883 0.0011994949 0.0010140467 0.0009509154 0.00077335857 0.0010377209 0.00092724117 0.0008364899 0.0008246528 0.00097458967 0.0032433711 0.001467803 0.000982481 0.0017716225 0.0020438763 0.0008917298 0.0014283459 0.0015467171 0.0011205808 0.0013494318 0.0006628788 0.000848327 0.0008325442 0.00056423614 0.00058001897 0.00080886995 0.003890467 0.0063486425 0.00080886995 0.00081676134 0.0007102273 0.000524779 0.0014796401 0.0007457386 0.00092724117 0.0006510417 0.00043008206 0.0007339015 0.00068260735 0.0005563447 0.0004458649 0.0005918561 0.0012271149 0.00053267047 0.00038667928 0.00046164772 0.000686553 0.00031565657 0.00037484217 0.000390625 0.0030342487 0.0012073864 0.00036300506 0.0017834596 0.0013612689 0.00030776515 0.00030381946 0.00032749368 0.0011047979 0.0003393308 0.00024068812 0.0002722538 0.0010732323 0.0002209596 0.000848327 0.00048137625 0.002154356 0.00085227273 0.00037484217 0.00053661613 0.001171875 0.000619476 0.0007260101 0.015810449 0.032520324 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003769293 5.954649e-06 1.3894182e-05 3.5727895e-05 3.5727895e-05 5.1606963e-05 8.7334854e-05 4.7637193e-05 0.0 0.0 0.0 0.0 3.969766e-06 1.984883e-06 1.984883e-06 9.924415e-06 0.007288491 0.00019253367 5.557673e-05 5.3591844e-05 7.542556e-05 8.138021e-05 0.00013298717 9.3289505e-05 3.771278e-05 1.3894182e-05 1.7863948e-05 1.5879064e-05 2.3818597e-05 1.7863948e-05 1.1909298e-05 1.7863948e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.024672097 0.00053591846 0.0010837462 0.00039697663 0.0004009464 0.00051011494 0.002445376 0.003241314 0.0011571868 0.0005041603 0.00036720338 0.00022826156 0.00017863949 0.00027391387 0.00021635226 0.00037315802 0.010980373 1.984883e-06 0.0013953728 0.00055576727 0.001256431 0.001002366 0.0058831936 0.0032552083 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.9546495e-05 0.011053815 0.00060737424 0.0013735391 0.0009467893 0.0011393229 0.0009567137 0.004555307 0.002618061 0.00020444296 0.000152836 0.00013695694 0.00011313834 0.00011512322 0.00013894182 9.1304624e-05 0.00018657901 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.001764561 0.0009408346 0.00061729865 0.0005339336 0.00018260925 0.0002004732 0.0005398882 0.0002560499 0.00018260925 0.0001171081 0.00033346037 0.00010718369 0.00014886624 0.001069852 0.00030170224 0.00083365093 0.16258971 0.100820154 0.07860336 0.06504065 0.057246014 0.04646016 0.039401915 0.034870427 0.03397723 0.022004414 0.018260924 0.014118474 0.012729055 0.008664015 0.0061928355 0.0063377316 0.021279933 0.0168199 0.007502858 0.006849832 0.007342083 0.01324711 0.0068041794 0.009086795 0.015168477 0.000984502 0.00212581 0.0017963193 0.0067565423 0.0097576855 0.0061035156 0.018780963 0.00045056848 0.0005537824 0.0002461255 0.00017466971 0.00023620109 0.00019848831 0.00015680576 0.00022032202 0.0003294906 2.3818597e-05 0.00011313834 7.344068e-05 0.00022627668 0.0005021754 0.00018459413 0.0003751429 2322.0 6.9061155 16036.0 0.01839611 0.013344974 0.011661262 0.013344974 0.01209778 0.013719132 0.010601147 0.013282614 0.0109129455 0.01203542 0.010975306 0.010414069 0.0124719385 0.013282614 0.012534298 0.013532053 0.01209778 0.011037665 0.011100025 0.010725867 0.009166875 0.011848342 0.010226989 0.011349464 0.009353953 0.011661262 0.011848342 0.011661262 0.009852831 0.009790472 0.0080444 0.008730357 0.0091045145 0.012284859 0.008917436 0.012534298 0.008792716 0.014903966 0.009229234 0.011536542 0.008480918 0.010850586 0.0075455224 0.007296084 0.007732602 0.010351709 0.00810676 0.008730357 0.010351709 0.0071713645 0.008418558 0.0142803695 0.010476428 0.009541033 0.0089797955 0.011848342 0.00791968 0.0074208034 0.0064854077 0.006859566 0.006610127 0.0063606882 0.0055500125 0.00791968 0.0069842855 0.016774757 0.0073584435 0.013095535 0.010850586 0.03261412 0.0067348466 0.0088550765 0.009541033 0.015278124 0.0057370914 0.0062359693 0.015589923 0.00997755 0.015589923 0.016338238 0.0109129455 0.005487653 0.019144425 0.014592168 0.023322525 0.011349464 0.00604889 0.005425293 0.0053005735 0.007857321 0.004801696 0.005924171 0.0046769767 0.0049264156 0.004302819 0.0046769767 6.4834933 1.0 0.0 0.0 8.0 253440.0 86016.0 0.0 0.0 22.0 0.0 1.0 0.0 0.0 0.0 1180553600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.0 10.0 4.0 0.0 4.0 0.0 65536.0 4096.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -65536.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.5180895 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.557308 0.0 2.2232687 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4924.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -65314.0 0.0 5008.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 68972.0 5008.0 77824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 104.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.18963268 0.0030332832 0.002127166 0.0021547913 0.0020967778 0.012050256 0.0025001105 0.002052577 0.001977988 0.0019089242 0.0019227369 0.0017763216 0.0018951114 0.0019973258 0.0017901344 0.0022514807 0.0022514807 0.002403421 0.002397896 0.0049339198 0.0042736693 0.0036907708 0.0033261138 0.0017293582 0.0020498144 0.001972463 0.0017293582 0.0018757735 0.001873011 0.0017404084 0.0051134857 0.0052626636 0.0021216408 0.001768034 0.0052488507 0.0020940152 0.0019254995 0.0018177599 0.0017376458 0.0019089242 0.0019752255 0.0017625089 0.012274023 0.002491823 0.0020166638 0.0017376458 0.0017514586 0.0017542212 0.0018205225 0.0018564357 0.001823285 0.0016962076 0.0017072578 0.0016962076 0.0017790842 0.0017348833 0.0017072578 0.0016464816 0.0016685821 0.0016630569 0.001718308 0.0015000663 0.0017569837 0.0019669377 0.0018840611 0.001718308 0.0017873718 0.0017625089 0.0020360015 0.0017321208 0.0017100204 0.0016962076 0.0017100204 0.0016685821 0.0016354314 0.0017459336 0.0017763216 0.001768034 0.0017265957 0.0016906825 0.0018370978 0.0017155454 0.0017459336 0.0016658194 0.0017210705 0.0016492442 0.011986718 0.0024669599 0.0017790842 0.0016520068 0.0015608425 0.0016823948 0.0017238331 0.001768034 0.0018757735 0.0017818467 0.002163079 0.0017790842 0.0018039471 0.0017873718 0.0018702485 0.0019918007 0.004643852 0.001823285 0.001977988 0.0018951114 0.0018398603 0.0017956594 0.0020194263 0.0018011846 0.0017790842 0.0018122348 0.0017956594 0.001613331 0.0017348833 0.0016796322 0.0017956594 0.001823285 0.0017569837 0.0017707965 0.0018149974 0.0018067097 0.0017100204 0.0015608425 0.0016409565 0.0016354314 0.0015553173 0.0018978739 0.0026686261 0.0017569837 0.0017155454 0.0017127829 0.0018647233 0.001768034 0.0017625089 0.0017348833 0.0019420747 0.0018122348 0.0018011846 0.0022017548 0.0018315726 0.0017127829 0.0017155454 0.001768034 0.0017348833 0.0016851573 0.0015939932 0.00168792 0.0018426229 0.0016658194 0.0016492442 0.0025249736 0.024130901 0.012332037 0.0015608425 0.0016658194 0.0016160936 0.0017100204 0.0017100204 0.0018978739 0.0017404084 0.0018260475 0.0017846093 0.0015829429 0.0019697002 0.0020719147 0.0021023029 0.0017210705 0.0016851573 0.0016464816 0.0018895863 0.0017790842 0.0018647233 0.0016630569 0.0017155454 0.0016299062 0.0018288101 0.001743171 0.001953125 0.0017376458 0.0018398603 0.001613331 0.0018895863 0.0018094722 0.107228495 0.0015912305 0.0016547693 0.0018923489 0.0016492442 0.0016022808 0.0016962076 0.0018895863 0.0023398823 0.0018177599 0.0019199743 0.0016741072 0.0017763216 0.0018122348 0.0019558875 0.0017486961 0.0017486961 0.0016989701 0.0018978739 0.0017238331 0.0019254995 0.0016409565 0.0017348833 0.001743171 0.0016989701 0.0016823948 0.0016658194 0.0017901344 0.0016078058 0.0018868237 0.0016188561 0.0019310246 0.0016520068 0.0017984221 0.0018343353 0.0016602944 0.0017155454 0.00168792 0.0015276918 0.0018343353 0.0020442891 0.0016768697 0.0016050433 0.0016299062 0.0017376458 0.0016851573 0.0017155454 0.00168792 0.0017928969 0.0018868237 0.0017376458 0.0017155454 0.0017569837 0.0015995182 0.0016741072 0.0016768697 0.002582987 0.0019918007 0.0021741292 0.0017127829 0.0017790842 0.00155808 0.0016962076 0.0016823948 0.0019089242 0.0018923489 0.0014227148 0.0016464816 0.0017597463 0.0016796322 0.0019835131 0.1581313 0.0028409092 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0027660022 1.10973015e-05 8.322976e-06 1.3871627e-06 1.10973015e-05 1.3871627e-06 6.9358134e-06 1.3871627e-06 1.10973015e-05 4.161488e-06 8.322976e-06 1.3871627e-06 6.9358134e-06 0.0 0.0 1.3871627e-06 0.010045832 0.00025801224 0.00012900612 1.3871627e-06 2.7743254e-06 0.0 0.00012345747 7.074529e-05 3.6066227e-05 1.3871627e-06 0.0 0.0 2.7743254e-06 1.3871627e-06 2.7743254e-06 0.00068803265 0.0069815894 0.00013178046 8.461692e-05 5.5486507e-06 5.5486507e-06 5.5486507e-06 7.2132454e-05 5.687367e-05 0.000109585846 1.8033114e-05 2.3581764e-05 1.2484464e-05 5.1325016e-05 1.3871627e-05 2.3581764e-05 0.00092662463 0.012677279 0.0010223389 0.00020113858 1.2484464e-05 0.0 1.10973015e-05 0.0001262318 1.5258789e-05 2.9130415e-05 1.9420277e-05 1.10973015e-05 8.322976e-06 8.18426e-05 8.322976e-06 1.5258789e-05 0.00280623 0.046114836 0.0042155874 0.00070051715 0.000108198685 4.161488e-05 4.9937855e-05 0.00062144885 0.00021639737 0.00028159402 0.00047163529 0.0003079501 0.00015674937 0.00028020685 0.00014149059 0.00023443048 0.019921042 0.0485715 0.008490822 0.0013635809 0.00015813654 0.00011929599 0.0001040372 0.0008475564 0.0001969771 0.00032182175 0.0025828967 0.00034817783 9.848855e-05 0.0002413663 9.1552734e-05 0.00018171831 0.03287298 0.022907604 0.0019434149 0.001169378 0.000170621 4.4389206e-05 0.0004161488 0.00090026855 6.242232e-05 0.0002524636 0.004552668 0.0005090887 0.00012068315 0.00024968927 0.0001151345 0.00025801224 0.023146195 0.02656694 0.0011735396 0.0077764336 0.000109585846 5.4099342e-05 0.0073075728 0.00076710095 0.00010265003 0.00023997914 0.016917836 0.0004411177 0.00035511365 0.00028020685 0.00032598322 0.0002746582 0.05094355 0.0139784375 0.0010597922 0.0036357532 0.0001373291 0.00012900612 0.0032875754 0.00061728735 0.0001595237 0.0002524636 0.008642023 0.00031072443 0.0003301447 0.000289917 0.0003565008 0.00034956497 0.023282139 0.0027146772 0.0003745339 0.0005451549 9.2939896e-05 0.00010681152 0.00037037244 0.00027188388 9.1552734e-05 0.00013871626 0.0007365834 0.00015258789 0.0001373291 0.00010265003 0.00010265003 0.00012207031 0.0024622136 0.0023692737 0.00061035156 0.0006380948 0.0001040372 0.0001969771 0.00048550693 0.00039950284 0.00016923384 0.0002940785 0.000690807 3.3291904e-05 6.1035156e-05 0.00012900612 6.519665e-05 0.00010126287 0.002175071 0.0018213446 0.00028714267 0.0003981157 0.00018449263 0.00014149059 0.00022055885 0.00043418191 0.00022333319 0.00010265003 0.00032875754 9.5714226e-05 0.00036343661 8.600408e-05 6.519665e-05 7.351962e-05 0.00085587933 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.026339443 0.024817728 0.025425304 0.024432095 0.025077127 0.024264248 0.025311558 0.024096401 0.025493275 0.024153275 0.024344705 0.122930355 0.025346236 0.024359964 0.024045078 0.023881393 0.00271329 0.0023179487 0.002259688 0.0021709094 0.002191717 0.0021986528 0.0021084873 0.0020932285 0.0023151746 0.0020682595 0.0021944912 0.0095922295 0.0021209717 0.0020557751 0.0020516135 0.0021611995 74.0 11.918919 882.0 0.055555556 0.0022675737 0.0056689344 0.0034013605 0.0045351475 0.0011337869 0.0034013605 0.020408163 0.0045351475 0.0011337869 0.0045351475 0.009070295 0.026077097 0.006802721 0.013605442 0.012471655 0.009070295 0.0056689344 0.0045351475 0.009070295 0.0 0.0045351475 0.0022675737 0.0034013605 0.0045351475 0.0011337869 0.007936508 0.0011337869 0.019274376 0.009070295 0.017006803 0.015873017 0.009070295 0.009070295 0.0 0.0034013605 0.0056689344 0.0056689344 0.010204081 0.006802721 0.007936508 0.006802721 0.0 0.0022675737 0.006802721 0.0034013605 0.0045351475 0.0022675737 0.007936508 0.0 0.006802721 0.0056689344 0.0056689344 0.007936508 0.011337869 0.012471655 0.0022675737 0.0011337869 0.0034013605 0.0011337869 0.0022675737 0.0011337869 0.0022675737 0.0022675737 0.0045351475 0.03514739 0.0045351475 0.026077097 0.019274376 0.08390023 0.007936508 0.009070295 0.007936508 0.029478459 0.0034013605 0.0045351475 0.03628118 0.02154195 0.02834467 0.034013607 0.006802721 0.0034013605 0.0430839 0.048752833 0.03514739 0.020408163 0.013605442 0.0 0.009070295 0.007936508 0.0034013605 0.0 0.0022675737 0.0011337869 0.0011337869 0.0011337869 5.7406397 0.0 0.0 0.0 2.0 361984.0 380928.0 0.0 0.0 15.0 1.0 1.0 0.0 0.0 0.0 1539240400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 5.0 1.0 5.0 1.0 2048.0 1024.0 4096.0 5.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -193024.0 0.0 166912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0325346 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.7644773 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.1078763 0.0 2.9538443 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -56.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 436.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -192560.0 0.0 166448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 200780.0 166448.0 208896.0 0.0 0.0 0.0 0.0 56.0 376832.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 200704.0 0.0 0.0 0.0 0.0


Input: 0.47001952 0.009870991 0.004093853 0.00416324 0.013062809 0.0044998974 0.0019916736 0.001847759 0.006982422 0.0019736842 0.0015959087 0.0017166941 0.0046926397 0.0014982525 0.0013260691 0.0052323192 0.013427734 0.001146176 0.0006296258 0.0008146587 0.0043379935 0.0022024054 0.0007632607 0.0007684005 0.0031070106 0.00092002464 0.0005653783 0.0010613692 0.002631579 0.0007401316 0.0005088405 0.000755551 0.003957648 0.0007761102 0.000991982 0.0007735403 0.01850586 0.0008377878 0.0005936472 0.00035464638 0.0015702097 0.0006296258 0.00044716283 0.001146176 0.0014519943 0.0005910773 0.0011101974 0.000675884 0.002243524 0.0019685444 0.0011564556 0.004373972 0.001143606 0.0010793585 0.0006193462 0.00069130346 0.0015188117 0.0012386924 0.00051141036 0.003364001 0.001431435 0.0012361226 0.000547389 0.00068873353 0.0021767064 0.0015265214 0.00065789477 0.0010613692 0.007136616 0.0034436677 0.002575041 0.0013569079 0.0016267475 0.00084549753 0.0005088405 0.00064504525 0.0042763157 0.0016730058 0.0013697573 0.0007581209 0.005831106 0.00260588 0.0021818462 0.0034693668 0.003232936 0.0024157073 0.004451069 0.003407689 0.00091488485 0.0019068668 0.0005088405 0.0021201686 0.0022692229 0.0020996095 0.0035336143 0.002968236 0.0009303043 0.0014802632 0.00051141036 0.0009945518 0.0018374794 0.0028988486 0.0014134457 0.0008609169 0.0031198603 0.0013646176 0.005183491 0.000547389 0.0020507812 0.00067845394 0.0019454153 0.0017475329 0.00130294 0.0004188939 0.002133018 0.0015239515 0.008711966 0.0066817435 0.00087633636 0.0009971217 0.0009431538 0.000989412 0.0006424753 0.0005268298 0.0026187294 0.001354338 0.001457134 0.0008557771 0.0023154812 0.0015290913 0.00052939967 0.010600843 0.003489926 0.007396176 0.0006090666 0.0004394531 0.0014417146 0.009827303 0.001405736 0.023082854 0.0009739926 0.0054353415 0.00071186264 0.0009611431 0.0121453535 0.0003854852 0.0007452714 0.00092773436 0.0009714227 0.0006990132 0.0003674959 0.00038291528 0.0005910773 0.00048314146 0.00033665707 0.0005088405 0.0007838199 0.00028011925 0.0004137541 0.00029810856 0.0006013569 0.0011307566 0.00028268914 0.00055252877 0.0006090666 0.0005910773 0.00030838815 0.0003726357 0.0008146587 0.000495991 0.0006656044 0.0005191201 0.00070672284 0.00028268914 0.00045487253 0.00040604442 0.0006476151 0.00044459294 0.0003983347 0.0003983347 0.0006064967 0.00067845394 0.00047029194 0.000573088 0.0015959087 0.00081208884 0.0004188939 0.000573088 0.00069130346 0.00043431332 0.0009611431 0.0006938733 0.0076403166 0.0027677838 0.0016704359 0.004803146 0.0059261923 0.00089175574 0.0026392885 0.0030530428 0.0014751233 0.0015085321 0.00084035774 0.0007606908 0.0013877467 0.0008197985 0.00089175574 0.0008095189 0.0013414884 0.001143606 0.0012078537 0.00085320725 0.0006990132 0.0007504112 0.0007504112 0.0008891859 0.0011487459 0.0005756579 0.0006116365 0.0010022615 0.0007401316 0.00076583057 0.0007632607 0.0011384663 0.0016447369 0.00086605677 0.0007966694 0.0006938733 0.00092259457 0.00053453946 0.0006193462 0.00058079767 0.009524054 0.0017526727 0.0006707442 0.0028423108 0.0014211554 0.0006707442 0.0009739926 0.0007529811 0.0019351357 0.00085320725 0.0006116365 0.0014545642 0.0010022615 0.000704153 0.0017886513 0.0015599302 0.0024157073 0.0015188117 0.0009020354 0.0009739926 0.0020867598 0.0010382402 0.0017629523 0.029268606 0.32978052 1.0306729e-05 3.8650232e-06 0.0 0.0 0.0 0.0 0.0 1.2883411e-06 0.0 0.0 0.0 1.2883411e-06 0.0 0.0 1.8036775e-05 0.00251613 3.736189e-05 7.7300465e-06 3.8650232e-06 2.5766822e-06 7.7300465e-06 5.1533643e-06 2.5766822e-06 7.7300465e-06 2.5766822e-06 5.1533643e-06 1.2883411e-06 2.5766822e-06 2.5766822e-06 0.0 3.3496868e-05 0.0024452712 2.705516e-05 6.441705e-06 3.8650232e-06 9.018388e-06 1.0306729e-05 5.1533643e-06 1.0306729e-05 5.9263686e-05 9.018388e-06 1.1595069e-05 3.8650232e-06 5.1533643e-06 7.7300465e-06 7.7300465e-06 1.6748434e-05 0.0069982684 0.0002576682 9.920226e-05 4.1226915e-05 5.411032e-05 2.3190138e-05 9.018387e-05 6.9570415e-05 4.1226915e-05 1.9325116e-05 7.343544e-05 4.5091936e-05 5.153364e-05 1.0306729e-05 1.5460093e-05 2.576682e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00639146 0.00018680946 0.00013527581 5.5398665e-05 7.472378e-05 7.21471e-05 0.00015460093 9.40489e-05 0.00016877268 5.411032e-05 9.7913915e-05 7.601212e-05 7.7300465e-05 9.40489e-05 7.601212e-05 0.000106932304 0.0036782136 0.00083999836 7.21471e-05 7.7300465e-05 6.9570415e-05 5.2821983e-05 7.472378e-05 6.184037e-05 4.766862e-05 4.3803597e-05 4.1226915e-05 4.3803597e-05 4.3803597e-05 4.3803597e-05 4.1226915e-05 4.5091936e-05 0.005153364 0.00041098078 0.00030276013 5.2821983e-05 0.00012754576 0.00010306728 0.00015846595 9.147221e-05 0.00030920186 0.0001004906 3.2208525e-05 5.6687004e-05 0.00023705474 0.0001004906 3.3496868e-05 0.0006454589 0.016175121 0.0007034342 0.00081036653 0.0005050297 0.0007420844 0.0007974831 0.002361529 0.0012561325 0.0005501216 0.0003207969 0.00021515295 0.00019325115 0.0003517171 0.000336257 0.00028343502 0.0007833113 0.019127999 0.0010963782 0.0011337401 0.0008052131 0.001522819 0.0014803038 0.0027596264 0.0018011008 0.00167742 0.0006982808 0.00026153322 0.00046637945 0.00090956874 0.0005166248 0.0006029436 0.0020793823 0.0054187626 0.00015202424 0.00027957 0.0003710422 0.00048828125 0.000336257 0.0018861312 0.0014068685 0.00022159466 0.00030920186 0.00024864983 0.00027055162 0.0003169319 0.00042644088 0.00024607315 0.0008142315 0.019925483 0.0010525746 0.0014313469 0.0011092616 0.0013617765 0.001337298 0.0022984005 0.0022842286 0.0011440468 0.0014081567 0.0007536795 0.0012741693 0.0012934944 0.0013553348 0.0014828806 0.0053427503 0.012221203 0.001839751 0.0017212236 0.001008771 0.0015215308 0.001292206 0.0023061305 0.002281652 0.0015833711 0.0012754577 0.0006145387 0.00077686965 0.001178832 0.0011762554 0.0016065612 0.0045349603 0.040415257 0.008875381 0.0085185105 0.005922504 0.008752989 0.012030529 0.004416433 0.007749371 0.022080878 0.004082753 0.002009812 0.002637234 0.009943416 0.003161589 0.0071296794 0.013223533 0.06295865 0.018680945 0.019721925 0.013631936 0.016730396 0.026234489 0.010603047 0.0146523025 0.042801265 0.011759977 0.0041574766 0.0040917713 0.023264863 0.0067071035 0.013473471 0.021876032 0.0004650911 0.00027699332 0.00023061305 0.00027957 0.00024220812 0.00024091978 0.0004612261 0.0003104902 0.00023834308 0.00028472336 0.00023705474 0.00047668617 0.00028085834 0.0004741095 0.00032466193 0.00045349603 1347.0 9.858204 13279.0 0.026131487 0.0030875818 0.009112132 0.002485127 0.034791775 0.001807365 0.0039912644 0.0010542963 0.003690037 0.0010542963 0.0009036825 0.0015814444 0.0039159576 0.002936968 0.0114466455 0.0016567513 0.008886212 0.009940508 0.0065516983 0.0068529258 0.002936968 0.0030875818 0.002485127 0.0019579788 0.0037653437 0.006777619 0.0017320581 0.00361473 0.0025604337 0.0015814444 0.0013555237 0.0017320581 0.0037653437 0.013856465 0.0039159576 0.009789893 0.016266285 0.013404624 0.006777619 0.008208449 0.0052714814 0.007154153 0.00082837563 0.0010542963 0.017998343 0.0076059946 0.008133142 0.0046690265 0.023345131 0.014308306 0.017998343 0.032156035 0.021613073 0.0148354545 0.015588523 0.019655095 0.004066571 0.004443106 0.0010542963 0.0043677986 0.01347993 0.005497402 0.005346788 0.011973794 0.004292492 0.029444989 0.006250471 0.017169967 0.017923037 0.057007305 0.0080578355 0.011371338 0.011145418 0.026131487 0.02673394 0.0057986295 0.022140222 0.008735597 0.030574592 0.030273365 0.015061375 0.0015814444 0.034565855 0.020408163 0.045711275 0.016115671 0.006627005 0.0051208674 0.005949243 0.008735597 0.0021085925 0.000602455 0.0043677986 0.0017320581 0.0015814444 0.0027863544 5.962196 0.0 1.0 0.0 6.0 389120.0 401408.0 0.0 2.0 215.0 1.0 1.0 0.0 0.0 0.0 1355871100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 270336.0 4096.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -270336.0 0.0 36864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.657875 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.5110967 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.998526 0.0 5.163723 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14972.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 44335.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28012.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -268130.0 0.0 36564.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 111.0 318656.0 120.0 313824.0 36564.0 348160.0 0.0 0.0 7872.0 389120.0 8084.0 385024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 880.0 274432.0 0.0 0.0 0.0 0.0


Input: 0.109207 0.0044300803 0.008371433 0.0030584896 0.0033816807 0.0027195334 0.002727416 0.003160965 0.0029875452 0.0032161437 0.0024436386 0.0027668297 0.002703768 0.0025224658 0.002672237 0.0030111934 0.0033580326 0.0028377739 0.0027904776 0.003019076 0.003208261 0.003129434 0.002995428 0.003160965 0.0031373168 0.0028771874 0.003019076 0.0032003783 0.0027668297 0.0034999212 0.0029481319 0.0035787483 0.00489516 0.004926691 0.00431184 0.0035551002 0.003476273 0.0033659153 0.0033580326 0.002861422 0.003019076 0.0029087183 0.0025303485 0.008284723 0.003160965 0.004012297 0.0032555573 0.0032476746 0.005060697 0.005265647 0.005115876 0.0054784804 0.0060854484 0.004288192 0.0043039573 0.004169951 0.0038704083 0.003878291 0.0038704083 0.0041935993 0.00422513 0.0042645438 0.003799464 0.0041384203 0.005320826 0.005801671 0.0051001105 0.00469021 0.005809554 0.0043197223 0.0045877346 0.005462715 0.003980766 0.0044221976 0.004146303 0.0040280623 0.0041620685 0.0040753586 0.004059593 0.003665458 0.0039965315 0.0030427242 0.0029875452 0.0033895634 0.0033501498 0.0029008356 0.0036023962 0.008395081 0.0031373168 0.0028929529 0.002916601 0.0031451995 0.0081428345 0.0029323664 0.002916601 0.0030348415 0.0029402492 0.008875926 0.0080876555 0.0033107363 0.0034999212 0.009482894 0.0032476746 0.0032792054 0.0032476746 0.0033501498 0.008174365 0.0029560146 0.0037285197 0.002617058 0.0030427242 0.003689106 0.0030111934 0.0029008356 0.0041068895 0.0036812234 0.0035235693 0.0031215514 0.0028850702 0.0028850702 0.002806243 0.002648589 0.0024988176 0.0024830522 0.0025224658 0.008434495 0.0033580326 0.0038625256 0.002916601 0.0031136686 0.0027668297 0.0030584896 0.0027747124 0.0032397918 0.007646224 0.0027668297 0.0029875452 0.0027431815 0.002648589 0.003823112 0.0023096327 0.0030111934 0.002459404 0.00259341 0.0025067003 0.0025224658 0.002672237 0.002514583 0.0026328235 0.0026801198 0.0025855273 0.0027352988 0.0023884596 0.002672237 0.0026564717 0.0026249408 0.002404225 0.0024988176 0.00778023 0.002546114 0.007732934 0.0024515213 0.0024278732 0.0026249408 0.002490935 0.002144096 0.0022308056 0.0021204478 0.0024199905 0.0026564717 0.002727416 0.0075122183 0.0026012927 0.0022938673 0.0024199905 0.0030821378 0.003019076 0.002459404 0.0027195334 0.0026801198 0.0025382312 0.0026328235 0.0076619894 0.0025855273 0.0025539966 0.0025224658 0.0022702191 0.0080876555 0.0029560146 0.002459404 0.002995428 0.0025303485 0.0029244837 0.0026091754 0.0029402492 0.0075595146 0.0026407063 0.0024515213 0.0024672868 0.0024515213 0.0026091754 0.002546114 0.0023884596 0.0026012927 0.0028535393 0.0022386883 0.0022781019 0.0025855273 0.0028456566 0.002490935 0.0031924956 0.0025382312 0.0026407063 0.002380577 0.0025224658 0.0071969097 0.0026328235 0.0028535393 0.0023963423 0.0026880025 0.0028220084 0.008268958 0.003421094 0.002861422 0.0030269588 0.0025224658 0.0028693047 0.0024830522 0.0028456566 0.0028456566 0.0026958853 0.0024988176 0.0033265017 0.0027668297 0.0039098216 0.0027116507 0.002995428 0.0027352988 0.0025776445 0.0026328235 0.0026012927 0.007819643 0.0027668297 0.0024436386 0.002861422 0.002569762 0.002672237 0.0028771874 0.0030584896 0.0024436386 0.0024199905 0.0026407063 0.002727416 0.0024436386 0.002569762 0.005092228 0.024590164 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0076363985 4.4025357e-05 2.4013832e-05 3.602075e-05 2.4013832e-05 4.4025357e-05 3.602075e-05 4.0023053e-05 3.602075e-05 3.602075e-05 2.0011526e-05 6.403688e-05 3.201844e-05 5.202997e-05 4.0023053e-05 3.201844e-05 0.0072081517 4.8027665e-05 3.201844e-05 0.00039622822 2.8016137e-05 3.201844e-05 1.2006916e-05 0.00025614753 8.00461e-06 2.8016137e-05 2.0011526e-05 4.4025357e-05 8.00461e-06 4.002305e-06 6.403688e-05 8.00461e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0063916817 2.4013832e-05 2.0011526e-05 8.00461e-06 0.0001480853 3.602075e-05 5.202997e-05 0.00027615906 0.000576332 0.0 3.201844e-05 3.602075e-05 0.00012006916 8.00461e-06 0.00010405994 0.0003642098 0.019927477 0.00021212218 8.0046106e-05 0.013615843 0.014112129 0.00017610143 0.00010405994 0.00013207608 0.00010405994 0.00012006916 0.00011206455 8.8050714e-05 0.00012006916 9.205302e-05 0.000116066854 6.803919e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008636975 0.00010005763 0.00026415216 0.005323066 0.00427046 0.000524302 0.0019971502 0.0015649014 0.00065237575 3.201844e-05 7.60438e-05 0.00018410604 0.000144083 2.8016137e-05 0.00034019595 0.00045226052 0.012255059 0.0009605533 0.0018810835 0.0010005763 0.002109215 0.00090452103 0.001192687 0.0007244173 0.000956551 0.00018810834 0.00042424435 0.0003642098 0.00034820056 0.00040423285 0.0003602075 0.0005162974 0.0032978996 0.00020411758 0.00043625128 0.0007124104 0.00014008068 0.00017209913 0.00024814293 0.0013487769 0.00019211066 0.00017209913 0.000108062246 0.00023613601 7.20415e-05 3.602075e-05 0.0006603804 0.00016009221 0.005387103 0.0008164703 0.0003682121 0.0015689037 0.002189261 0.0006923988 0.0018970927 0.0012126985 0.00032818902 0.00027215676 0.00025214523 0.00020811988 0.0002961706 0.00032818902 0.0003602075 0.00021612449 0.0073602395 0.0012287077 0.0022933208 0.002961706 0.001324763 0.0038662269 0.0067678983 0.0038181993 0.00282963 0.0016409452 0.002961706 0.0032018442 0.001953125 0.0031738281 0.0012287077 0.00256948 0.0090812305 0.001953125 0.006011463 0.0029537014 0.004990875 0.005847368 0.008897125 0.0037701717 0.0039422708 0.002661533 0.0048067686 0.0049228356 0.0030497566 0.005527184 0.0015128714 0.0038422132 0.04430552 0.04425749 0.0500008 0.04416944 0.045101978 0.048620004 0.052218076 0.041659996 0.041419856 0.041351818 0.041151702 0.04326492 0.04019115 0.044221472 0.04093958 0.04204422 1805.0 6.398338 11549.0 0.012122261 0.018876093 0.0051086675 0.0033769158 0.004762317 0.004329379 0.003723266 0.0044159666 0.0036366784 0.0034635034 0.0027708027 0.04978786 0.0036366784 0.0048489044 0.0040696166 0.0038098537 0.016191877 0.01645164 0.017404104 0.019135855 0.01723093 0.009351459 0.011949087 0.009005109 0.008745346 0.008745346 0.011169799 0.009178284 0.0092648715 0.010217335 0.010303922 0.011516148 0.011256386 0.017404104 0.010217335 0.0140271885 0.017057754 0.010996623 0.012295437 0.02182007 0.0106502725 0.01290155 0.008658758 0.011602736 0.010823448 0.011083211 0.012468612 0.009784397 0.013074725 0.0039830287 0.004589142 0.006927007 0.0038964413 0.0030305653 0.00536843 0.050047625 0.005887956 0.0044159666 0.0038098537 0.0046757297 0.047449995 0.004762317 0.004589142 0.0050220797 0.0039830287 0.008745346 0.0049354923 0.0075331195 0.008312408 0.017057754 0.0050220797 0.005628193 0.0059745433 0.010130747 0.047017056 0.0048489044 0.011689324 0.0059745433 0.0078794705 0.010477098 0.0045025544 0.004589142 0.012468612 0.007966057 0.012295437 0.0051086675 0.0040696166 0.0050220797 0.0038098537 0.0046757297 0.002684215 0.0023378648 0.0034635034 0.047017056 0.0040696166 0.0075331195 6.136736 0.0 0.0 0.0 4.0 126860.0 139264.0 0.0 0.0 54.0 0.0 1.0 0.0 0.0 0.0 1169570000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 1.0 8.0 1.0 4.0 0.0 4.0 0.0 9216.0 1024.0 8192.0 5.0 0.0 0.0 3.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -73728.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.407563 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1623845 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.990829 0.0 3.9599009 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -44905.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5940.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -74504.0 0.0 1932.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 5512.0 1932.0 24576.0 110.0 72013.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 232.0 4096.0 0.0 0.0 0.0 0.0