Input: 0.1441046 0.016994288 0.005378772 0.0049692397 0.010777277 0.004266284 0.003002458 0.0029581992 0.010226384 0.0016566361 0.0052757063 0.0019305497 0.0057290513 0.0025269275 0.0016385202 0.012521929 0.007486245 0.0028553563 0.0010937032 0.0012048517 0.0048783254 0.003764834 0.00097536406 0.0009563005 0.0050739776 0.001173079 0.0009549627 0.0010708491 0.0040301634 0.00093824026 0.0014302144 0.0014911955 0.01750739 0.0010193998 0.0034777655 0.0012450413 0.034770295 0.0025913648 0.000952956 0.0010736362 0.004568793 0.0021349536 0.0011717412 0.0020814976 0.0036441537 0.0019299366 0.002520406 0.0023205169 0.009311667 0.005051124 0.0033580884 0.0063646156 0.0044576447 0.0027602057 0.002655133 0.003052904 0.004385571 0.0031600392 0.0031776533 0.004647834 0.004087521 0.0036719686 0.002413215 0.0025071395 0.0055481703 0.0034892482 0.0027719112 0.0023367377 0.016585315 0.002378098 0.00397654 0.002240918 0.002983896 0.0017343397 0.0012290435 0.00151784 0.01002538 0.0025325576 0.0020878522 0.0018640502 0.010021812 0.0026367384 0.0016052983 0.0031110423 0.0036319462 0.002313382 0.0046525723 0.003160931 0.0021677297 0.002369681 0.0013335029 0.002172635 0.002851956 0.0020362912 0.003348724 0.004249283 0.0032891363 0.005973199 0.0019872945 0.004191033 0.0062854625 0.008148231 0.003961155 0.0027148877 0.006451461 0.005399731 0.006792487 0.0015085868 0.004887021 0.0024929254 0.0055427076 0.005734737 0.0044084247 0.0012445953 0.005834403 0.0047549694 0.014203593 0.005587747 0.002474252 0.0028677867 0.003183785 0.0020543514 0.0011493332 0.0010459885 0.003158088 0.0013654428 0.0019271495 0.0014492222 0.0037170635 0.0017561904 0.00090869726 0.011102584 0.005228995 0.0057799993 0.0013234694 0.0010909719 0.0021075287 0.008828611 0.0012414738 0.030320566 0.0019599812 0.013014739 0.0011149406 0.00091850775 0.0016033474 0.00067302235 0.0005942597 0.0010229115 0.0012706266 0.000780046 0.0007132677 0.00059163984 0.0013632132 0.0009330005 0.0006540703 0.0006387971 0.0012182853 0.0006328885 0.0006569131 0.00065964443 0.0012619867 0.001853069 0.00054336776 0.001424696 0.0011641047 0.0005379051 0.00059414824 0.00067268795 0.0012585864 0.00052514026 0.00057536334 0.0006011159 0.0010490543 0.0005365673 0.0008134351 0.0007549623 0.0019720213 0.00059080374 0.0006275931 0.0007685075 0.0012526779 0.0006129331 0.0013533469 0.0011376832 0.002248722 0.0009231343 0.0006109264 0.00061934337 0.0010663341 0.00065546384 0.0009638813 0.0009023427 0.0061592082 0.0033494486 0.0030335616 0.0032117672 0.006610937 0.0008824988 0.004054299 0.0075023547 0.0029035169 0.0016610955 0.00091516325 0.0012452084 0.020880584 0.00092051446 0.0018420881 0.0016981636 0.001737294 0.0010823876 0.0010159996 0.0009964344 0.0016044064 0.0007272031 0.0013086422 0.0009705703 0.0015842838 0.00085485104 0.0005229106 0.0011203476 0.00094242085 0.0006988307 0.0005440924 0.0005720746 0.002184675 0.0014039044 0.0011561336 0.001103012 0.0014437595 0.0010779841 0.0010619863 0.00083996804 0.012783914 0.002882335 0.0050407 0.0037419798 0.0026729703 0.0010919751 0.00075490656 0.0006736913 0.0023428693 0.0012039598 0.0033192367 0.0035810543 0.0011207935 0.0007136022 0.0018904716 0.0023395806 0.0029941525 0.0017123776 0.0011110945 0.0017750311 0.0016209616 0.0012726332 0.00678931 0.03981239 0.014530423 4.2367137e-06 4.9614146e-06 2.2855954e-06 1.6445139e-06 3.344774e-07 4.1809673e-07 0.0002292285 4.3760792e-06 1.9789913e-06 1.2821633e-06 4.4596985e-07 1.3657827e-06 2.7873116e-07 7.24701e-07 8.0832035e-07 0.0026648093 3.319688e-05 1.8591369e-05 1.5413832e-05 1.1623089e-05 2.0347375e-06 1.5608945e-06 6.3829434e-06 2.6228603e-05 1.7560063e-06 1.3657827e-06 8.3619346e-07 7.6372335e-06 1.8117526e-06 1.6166407e-06 2.2577224e-06 0.0018825224 5.4073844e-06 5.7836714e-05 1.1204993e-05 7.888092e-06 9.922829e-06 1.5469579e-05 2.2549351e-05 5.870078e-05 8.640666e-06 5.6303693e-06 5.6303693e-06 6.88466e-06 4.3760792e-06 4.4039525e-06 5.045034e-06 0.0013641382 1.15394705e-05 2.0319501e-05 1.3211857e-05 9.421114e-06 1.5218721e-05 3.6848258e-05 0.00012077421 1.8284763e-05 6.187832e-06 6.4108167e-06 6.2993245e-06 4.4318253e-06 4.710557e-06 4.29246e-06 1.3351223e-05 0.0014383922 3.0548934e-05 8.1696104e-05 7.980073e-05 2.0737598e-05 1.8897972e-05 3.7628706e-05 7.422611e-05 3.177535e-05 1.1483724e-05 6.215705e-06 6.5223094e-06 8.807905e-06 5.3795115e-06 5.5467503e-06 2.611711e-05 0.0016709655 3.5844827e-05 0.00013696849 6.539033e-05 5.708414e-05 4.1558815e-05 7.768237e-05 4.866646e-05 6.527884e-05 1.9427562e-05 1.0508164e-05 2.2242746e-05 2.199189e-05 2.2493605e-05 1.4521894e-05 0.00031524495 0.0039504846 0.00019915341 0.00044608137 0.0030287206 0.0018518341 0.0007157259 0.0014448309 0.0006062124 5.2122727e-05 4.2813106e-05 3.3503486e-05 0.00013808341 5.357213e-05 8.345211e-05 5.6889032e-05 0.0065338765 0.015873907 0.0005608628 0.0019283458 0.001656555 0.00063954864 0.00046628935 0.003000931 0.0015551527 0.000207153 0.00036915156 0.0001914883 0.00032199023 0.00029383838 0.00023870537 0.00073916715 0.003124855 0.014659141 0.00050138164 0.012342105 0.0083680395 0.0021807926 0.0014143934 0.016679188 0.0090174265 0.00032809444 0.00036859408 0.00025715737 0.0005072071 0.0004785814 0.0004977581 0.00093511515 0.0035622958 0.008868835 0.00040101053 0.007322686 0.004197691 0.003736921 0.002570431 0.015079244 0.0084857475 0.00030746835 0.00022493606 0.00021303423 0.00036170942 0.00082005496 0.00018518898 0.00076029496 0.0018363645 0.008063609 0.00047456767 0.0041294578 0.0026582591 0.0031253288 0.0021168238 0.007409204 0.004692829 0.0004126615 0.00018014395 0.00019187853 0.00021961228 0.00052861363 0.00025135977 0.0005261608 0.0010395836 0.007696074 0.0019021729 0.0028951247 0.020983998 0.002397311 0.002061886 0.003822324 0.0026394727 0.0023588182 0.0016197347 0.0015572152 0.0017205796 0.0027464218 0.0015419408 0.0024302849 0.0030491794 0.014828693 0.0028569107 0.004261883 0.0016652514 0.0031063752 0.00237557 0.0027629226 0.001958839 0.0052684094 0.0010171736 0.0013292967 0.0010929606 0.0042316965 0.001050259 0.002915082 0.004250706 0.087010644 0.018039508 0.027921531 0.011793896 0.026289895 0.022472924 0.013056883 0.014947154 0.049320504 0.0051432033 0.005136653 0.006354708 0.0352918 0.0064106775 0.017484779 0.027740134 0.04773773 0.012801509 0.020255728 0.009255575 0.018489465 0.016161976 0.010638416 0.010870209 0.030684147 0.0037681665 0.0039526587 0.004365822 0.021231817 0.0048700464 0.012911357 0.020378482 0.0017127473 0.0015209523 0.001191074 0.0012440329 0.001379329 0.0012215114 0.0012986921 0.0014361623 0.0012761148 0.0012221525 0.0012709583 0.0011804265 0.0011465885 0.0011124718 0.0011253492 0.0017254853 145939.0 18.238806 2661753.0 0.09237258 0.0013224367 0.015296686 0.0019859092 0.008420391 0.0036254304 0.0011447343 0.002322154 0.008555264 0.0069957655 0.000860711 0.0018330025 0.0074755247 0.0076521 0.01177119 0.008935465 0.016948605 0.022534398 0.010963451 0.010138807 0.009946829 0.008161538 0.008632281 0.007440961 0.009797303 0.009835248 0.012132982 0.0092224935 0.008660458 0.01452013 0.0076246746 0.0067519415 0.011265884 0.0066846926 0.00407288 0.005911893 0.007954908 0.0050819893 0.004908419 0.0027643437 0.0033616943 0.0043445053 0.0015658854 0.0012983924 0.006453266 0.003701696 0.003159572 0.003149804 0.007025821 0.004819005 0.003776083 0.00757621 0.0059592305 0.0036938062 0.0056830966 0.003922603 0.003415794 0.0036629995 0.0024239665 0.0037155964 0.0022323634 0.0036119055 0.003174224 0.009989657 0.0015737748 0.032228384 0.008556016 0.023664856 0.021846881 0.048593163 0.01186887 0.013059814 0.013983642 0.031378567 0.003965432 0.0062947236 0.021387033 0.012585315 0.03041041 0.031508934 0.017991902 0.0037839725 0.032373402 0.02513043 0.041979477 0.013674447 0.008482755 0.011921466 0.007834686 0.0077918577 0.003461253 0.0025336687 0.0023578447 0.0014945038 0.0012131103 0.0008257716 5.927244 3.0 2441.0 1.0 24.0 17939968.0 19607552.0 0.0 1.0 3121.0 0.0 1.0 0.0 0.0 0.0 1540155300.0 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 12.0 0.0 5.0 1.0 5.0 1.0 11156480.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -705536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5550592.0 0.0 -4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -364544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11156480.0 0.0 157184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7141223 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.5487633 0.0 -5.008491 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8885183 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4896183 0.0 5.5216446 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -705532.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5550280.0 0.0 -4576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2012420.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11156201.0 0.0 156848.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 0.0 -1.0 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 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 -1.0 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 0.0 0.0 0.0 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 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 4.0 1.0 2.0 -3.0 -2.0 2.0 2.0 0.0 0.0 0.0 -2.0 0.0 -3.0 -1.0 -1.0 1.0 1.0 -2.0 -1.0 1.0 -2.0 -2.0 2.0 1.0 -2.0 1.0 -3.0 4.0 -2.0 -3.0 3.0 -4.0 -2.0 0.0 -1.0 1.0 2.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 -1.0 -1.0 -3.0 1.0 0.0 -1.0 0.0 2.0 -2.0 0.0 1.0 1.0 -2.0 0.0 -1.0 1.0 4.0 -3.0 -2.0 -1.0 3.0 2.0 0.0 -1.0 0.0 1.0 2.0 -2.0 -2.0 -1.0 1.0 0.0 0.0 0.0 2.0 0.0 1.0 -2.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 3.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 -2.0 1.0 1.0 3.0 1.0 -3.0 2.0 -1.0 0.0 -1.0 -1.0 -3.0 -1.0 0.0 0.0 -1.0 3.0 -3.0 3.0 0.0 0.0 0.0 3.0 2.0 0.0 3.0 -2.0 0.0 -2.0 3.0 -1.0 2.0 -1.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 -2.0 -1.0 0.0 3.0 1.0 1.0 1.0 2.0 1.0 -1.0 0.0 3.0 1.0 0.0 2.0 1.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 1.0 1.0 2.0 -1.0 1.0 0.0 3.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 3.0 1.0 -1.0 1.0 -1.0 1.0 0.0 -1.0 2.0 1.0 -2.0 1.0 1.0 2.0 3.0 -2.0 -1.0 -1.0 -2.0 2.0 0.0 1.0 -3.0 -3.0 2.0 -1.0 2.0 -2.0 -1.0 0.0 1.0 0.0 0.0 2.0 -3.0 3.0 -1.0 -1.0 -3.0 0.0 1.0 1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 2.0 -1.0 0.0 -1.0 3.0 -1.0 0.0 -3.0 -1.0 -2.0 -2.0 2.0 -3.0 -1.0 1.0 0.0 -1.0 -3.0 1.0 0.0 -3.0 0.0 0.0 -1.0 -3.0 2.0 1.0 -1.0 3.0 1.0 2.0 -1.0 1.0 2.0 -2.0 0.0 2.0 1.0 0.0 1.0 0.0 -4.0 -2.0 -2.0 1.0 1.0 -2.0 0.0 0.0 -3.0 -6.0 -1.0 0.0 -2.0 -3.0 1.0 2.0 -1.0 0.0 2.0 2.0 -3.0 -1.0 2.0 -1.0 -2.0 2.0 3.0 -1.0 -1.0 -2.0 -1.0 0.0 2.0 -1.0 1.0 1.0 2.0 -2.0 4.0 0.0 -1.0 -2.0 -1.0 0.0 0.0 0.0 2.0 1.0 -1.0 -2.0 1.0 -3.0 1.0 -3.0 1.0 5.0 0.0 2.0 1.0 0.0 2.0 2.0 -1.0 0.0 -1.0 2.0 -1.0 1.0 0.0 0.0 1.0 0.0 1.0 -2.0 1.0 1.0 -1.0 2.0 1.0 1.0 1.0 -2.0 1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 -1.0 1.0 1.0 0.0 1.0 -1.0 0.0 1.0 3.0 1.0 -2.0 4.0 -1.0 -2.0 -1.0 2.0 0.0 3.0 0.0 0.0 0.0 -2.0 -2.0 3.0 1.0 1.0 3.0 -1.0 -2.0 0.0 -1.0 1.0 0.0 -1.0 1.0 -1.0 1.0 0.0 -1.0 -2.0 1.0 1.0 -1.0 -1.0 -1.0 0.0 -1.0 -4.0 3.0 -3.0 0.0 0.0 -4.0 -2.0 -1.0 3.0 1.0 -2.0 -1.0 2.0 0.0 -2.0 1.0 -1.0 1.0 0.0 -1.0 2.0 -2.0 1.0 -1.0 1.0 -5.0 -3.0 0.0 4.0 -1.0 1.0 -1.0 -1.0 1.0 1.0 1.0 3.0 1.0 -1.0 -2.0 1.0 4.0 -2.0 0.0 3.0 1.0 -2.0 2.0 0.0 3.0 3.0 -3.0 1.0 -3.0 1.0 1.0 -1.0 1.0 -2.0 -3.0 -1.0 -3.0 1.0 -1.0 1.0 1.0 -1.0 -2.0 3.0 0.0 3.0 -3.0 -1.0 2.0 3.0 -1.0 -1.0 1.0 1.0 0.0 0.0 1.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 2.0 0.0 2.0 1.0 0.0 1.0 4.0 -2.0 -1.0 1.0 0.0 0.0 -1.0 3.0 -1.0 -2.0 0.0 1.0 0.0 -1.0 -3.0 1.0 1.0 -1.0 2.0 1.0 1.0 0.0 -1.0 1.0 -3.0 1.0 -1.0 -3.0 0.0 1.0 0.0 1.0 2.0 2.0 1.0 -1.0 -1.0 0.0 -1.0 -1.0 -1.0 1.0 1.0 -1.0 0.0 -2.0 4.0 -3.0 -2.0 -2.0 0.0 1.0 -4.0 -2.0 3.0 -1.0 1.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 -2.0 -1.0 1.0 2.0 -2.0 1.0 -2.0 0.0 0.0 -1.0 1.0 3.0 -1.0 3.0 -1.0 2.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 3.0 0.0 3.0 -2.0 -2.0 -2.0 -2.0 -2.0 1.0 -2.0 -2.0 2.0 1.0 0.0 0.0 1.0 2.0 2.0 1.0 2.0 0.0 0.0 1.0 -1.0 -1.0 -2.0 -3.0 -1.0 1.0 -1.0 -1.0 2.0 -2.0 1.0 1.0 -2.0 1.0 2.0 1.0 0.0 1.0 1.0 -1.0 -2.0 1.0 0.0 -3.0 2.0 1.0 0.0 2.0 -2.0 3.0 0.0 3.0 0.0 -1.0 2.0 0.0 0.0 -4.0 1.0 1.0 -2.0 -2.0 1.0 2.0 -2.0 -1.0 -1.0 0.0 -3.0 1.0 1.0 1.0 -4.0 -1.0 1.0 2.0 0.0 1.0 2.0 1.0 0.0 1.0 0.0 4.0 -1.0 0.0 -3.0 -1.0 1.0 -2.0 0.0 0.0 -3.0 0.0 -2.0 -2.0 0.0 -1.0 0.0 4.0 1.0 1.0 -2.0 2.0 -2.0 0.0 1.0 1.0 4.0 -1.0 3.0 0.0 -1.0 0.0 -4.0 -4.0 -1.0 2.0 -1.0 -4.0 -2.0 2.0 0.0 0.0 0.0 0.0 -3.0 -3.0 0.0 3.0 -2.0 2.0 -1.0 -3.0 2.0 3.0 2.0 -2.0 1.0 -1.0 -2.0 2.0 -3.0 0.0 1.0 0.0 -1.0 -1.0 1.0 -2.0 -2.0 -1.0 1.0 -1.0 3.0 3.0 0.0 1.0 1.0 -1.0 -1.0 -3.0 0.0 -2.0 1.0 0.0 -1.0 -1.0 0.0 1.0 -2.0 -1.0 -5.0 1.0 0.0 2.0 2.0 0.0 -2.0 3.0 1.0 0.0 -3.0 1.0 2.0 -2.0 -2.0 4.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 1.0 -4.0 1.0 1.0 -1.0 3.0 0.0 3.0 -1.0 -2.0 -1.0 -2.0 0.0 -1.0 1.0 5.0 0.0 -1.0 5.0 -3.0 -1.0 1.0 1.0 0.0 0.0 3.0 -2.0 -2.0 4.0 1.0 1.0 -2.0 0.0 1.0 0.0 -1.0 1.0 0.0 3.0 1.0 -1.0 2.0 0.0 0.0 0.0 -2.0 0.0 -1.0 -3.0 -2.0 2.0 1.0 0.0 0.0 3.0 0.0 -2.0 0.0 1.0 3.0 1.0 1.0 -1.0 2.0 0.0 -2.0 -2.0 -1.0 2.0 0.0 1.0 -2.0 0.0 -2.0 0.0 1.0 -2.0 -1.0 0.0 -1.0 -4.0 1.0 1.0 -1.0 2.0 2.0 0.0 0.0 -2.0 2.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 1.0 0.0 2.0 -1.0 -1.0 -1.0 -2.0 3.0 4.0 1.0 0.0 1.0 -1.0 -1.0 1.0 1.0 1.0 -4.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 3.0 1.0 1.0 1.0 0.0 -1.0 1.0 1.0 0.0 -2.0 -1.0 3.0 1.0 -1.0 1.0 -3.0 -1.0 2.0 1.0 0.0 -2.0 -1.0 0.0 2.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 -3.0 -1.0 -2.0 0.0 3.0 0.0 -1.0 0.0 1.0 3.0 -5.0 1.0 0.0 1.0 -3.0 2.0 -1.0 2.0 0.0 -2.0 -3.0 -2.0 1.0 3.0 1.0 -2.0 -2.0 -3.0 0.0 0.0 -1.0 0.0 2.0 -3.0 -2.0 0.0 0.0 1.0 -6.0 -1.0 -1.0 0.0 -1.0 2.0 0.0 0.0 2.0 2.0 -3.0 -1.0 -2.0 2.0 0.0 1.0 1.0 1.0 -1.0 1.0 -1.0 0.0 0.0 -2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 75.0 16567312.0 420.0 16567388.0 156848.0 18739200.0 0.0 0.0 0.0 0.0 705532.0 18898944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 15844824.0 0.0 0.0 12564.0 11161600.0 0.0 0.0 0.0 0.0


Input: 0.17168567 0.13578749 0.14757182 0.13397564 0.13678105 0.14483999 0.00045804793 0.00041543884 0.00038832394 0.00035636712 0.00031859995 0.0003234419 0.00045998473 0.00034958837 0.00043964855 0.00043286983 0.00043093305 0.00032537867 0.00053648744 0.0006284844 0.00045707956 0.00034087288 0.00036605098 0.00036798778 0.00034862 0.00040284978 0.00038251362 0.00044642726 0.0004348066 0.0003583039 0.00038057682 0.0003224735 0.00044933244 0.00037864005 0.0004783841 0.00036314584 0.0013450922 0.00033506256 0.00037670328 0.00034087288 0.0005016254 0.00046288988 0.00038735554 0.00037864005 0.0003921975 0.00036217744 0.00043190146 0.00035636712 0.0003931659 0.00037864005 0.0004105969 0.0003844504 0.00040381815 0.00041640722 0.00032441027 0.00036895616 0.0004096285 0.00035443032 0.00035539872 0.00034377805 0.00047547894 0.00043093305 0.00043383823 0.00037864005 0.00037960845 0.000400913 0.00035055677 0.00035539872 0.0008173202 0.002427751 0.00040188138 0.00041447044 0.0024141935 0.0003844504 0.00046870022 0.0029719854 0.0007485646 0.00036314584 0.00034571483 0.0004260911 0.0004619215 0.00034087288 0.00032537867 0.00046870022 0.00053551904 0.0004193124 0.00040284978 0.0024558343 0.0003999446 0.000418344 0.0003321574 0.00044255372 0.0006255792 0.00042124916 0.00044352212 0.0003650826 0.00051808805 0.0004948467 0.00034668323 0.0004260911 0.00039800783 0.0035065361 0.00044739567 0.0024645496 0.0013557444 0.00043286983 0.0022795873 0.0003224735 0.0004619215 0.00039800783 0.00044933244 0.00038541877 0.00047451054 0.00037670328 0.0023376907 0.0003389361 0.0014477414 0.00038735554 0.00041640722 0.0032741227 0.0005539184 0.00037864005 0.00033506256 0.00038832394 0.00041543884 0.00035443032 0.00040188138 0.00041156527 0.0004996887 0.00042415434 0.0003476516 0.0005335823 0.0004890364 0.00042415434 0.0004270595 0.0003844504 0.00050840416 0.0009490211 0.00039510266 0.0008996333 0.000470637 0.00048322606 0.00038735554 0.00037186133 0.00047451054 0.0003650826 0.00039607106 0.00034377805 0.0003583039 0.00040381815 0.000383482 0.00035636712 0.00046288988 0.00045611116 0.0003650826 0.00053648744 0.00054713973 0.00036992456 0.00042802788 0.00045030084 0.0004870996 0.00042221756 0.00040672332 0.00031763155 0.0003641142 0.0004260911 0.00039607106 0.00037864005 0.00044158532 0.00041253367 0.0004512692 0.00035927226 0.00047257377 0.00038832394 0.00046773182 0.00043190146 0.00038541877 0.0004348066 0.00045320598 0.0005035622 0.00048419443 0.00036314584 0.00040575495 0.00040672332 0.00048225766 0.00048225766 0.00039510266 0.0004193124 0.00043190146 0.00053842424 0.00046288988 0.00041350204 0.0005335823 0.00037670328 0.00043771177 0.00042318593 0.00044158532 0.00037573487 0.00045030084 0.0005035622 0.0004251227 0.00038832394 0.00058974884 0.000470637 0.00037960845 0.00036120907 0.00046288988 0.00034474646 0.0003902607 0.0004861312 0.00042415434 0.00063913665 0.00048419443 0.00037960845 0.00033022062 0.00036701938 0.0004522376 0.00042899628 0.0004890364 0.00032828384 0.0003321574 0.0003912291 0.0003931659 0.0005519817 0.00039897623 0.00036217744 0.0004522376 0.00037282973 0.00036120907 0.00034280965 0.00042996465 0.0005006571 0.00036217744 0.00040575495 0.00030213734 0.00041543884 0.0005442345 0.00032731544 0.00038154522 0.00035055677 0.00036992456 0.0005849069 0.00043868017 0.0003941343 0.00042124916 0.0003931659 0.00045030084 0.0003902607 0.00048322606 0.00040381815 0.00043868017 0.00041156527 0.0005306771 0.00040769172 0.0003999446 0.00073403877 0.71194607 2.9093223e-06 4.3639834e-06 6.3035313e-06 4.3639834e-06 4.8488705e-06 3.3942092e-06 6.3035313e-06 5.8186447e-06 5.8186447e-06 6.3035313e-06 3.3942092e-06 2.4244353e-06 2.4244353e-06 6.7884184e-06 4.3639834e-06 0.009538698 2.957811e-05 3.103277e-05 3.8306076e-05 4.2185173e-05 2.5214125e-05 3.103277e-05 2.4244351e-05 2.0365256e-05 2.1819917e-05 2.1819917e-05 2.5214125e-05 1.6971046e-05 2.133503e-05 2.6668788e-05 1.6001273e-05 0.006460635 3.8790964e-05 2.957811e-05 2.61839e-05 3.9275852e-05 2.9093222e-05 3.6851416e-05 3.4911867e-05 3.442698e-05 3.8790964e-05 3.297232e-05 2.7638562e-05 3.297232e-05 2.6668788e-05 2.7638562e-05 3.4911867e-05 0.011555828 8.534012e-05 0.00011249379 7.2733055e-05 0.000104250714 8.243079e-05 7.370283e-05 8.1461025e-05 0.00010328094 8.340057e-05 7.515749e-05 9.891696e-05 8.5825006e-05 9.7462296e-05 8.485523e-05 0.00011249379 0.011836093 0.00013043461 0.00012219153 0.000118797325 0.00015467897 0.0001381928 0.00021238052 0.0001871664 0.000121706646 0.000115888004 0.00011928221 0.00013528348 0.00011637289 0.0001309195 0.00013140439 0.00013188928 0.01043186 0.00013285904 0.00015031498 0.00013431371 0.00019589436 0.00016631625 0.0002695972 0.00020607699 0.00014352656 0.00015176965 0.00012946484 0.000201713 0.00014692078 0.00016389182 0.00012316131 0.00016195227 0.011513643 0.0002055921 0.00019298504 0.00021286542 0.00033117784 0.00023468533 0.00023129112 0.00019346992 0.00022595737 0.0002167445 0.00021965383 0.00020850143 0.00020074323 0.0002763856 0.00019783391 0.00023420044 0.012845143 0.00021432007 0.0002133503 0.00020898631 0.0011583951 0.00071957236 0.0021475647 0.0015433955 0.00022159338 0.00022692714 0.00023274578 0.0002167445 0.00023710977 0.0002283818 0.00020268279 0.00023710977 0.017155303 0.00016195227 0.00016486159 0.00014546611 0.0031566147 0.0016413426 0.0056940285 0.004270885 0.00016292205 0.00018474196 0.00015855806 0.00018571173 0.00017504422 0.00017310468 0.00016292205 0.00017019534 0.008150951 0.00031420682 0.0003224499 0.00028850778 0.00029432643 0.00030790328 0.0003103277 0.00029384156 0.00031372192 0.0003292383 0.00033748138 0.00033845115 0.00032729877 0.00032632897 0.00031905566 0.00033554184 0.025617067 0.0010633572 0.0011002087 0.0010531746 0.003593013 0.0014391447 0.0013581685 0.0012941635 0.0013397429 0.0013290754 0.0013150136 0.0014042329 0.0013353789 0.0012568273 0.0010391129 0.0011356055 0.015021316 0.00094892393 0.0009174063 0.0008645536 0.00096347055 0.00082915684 0.0008863735 0.00088007 0.0009862602 0.00090285967 0.0009062539 0.00094504486 0.0009208005 0.00093825645 0.00085776515 0.0010299 0.007507991 0.0006133821 0.0006468393 0.0005687725 0.0006802965 0.00059204706 0.00067205343 0.0006361718 0.0006541126 0.0005978657 0.00059980527 0.0006473242 0.0006167763 0.00062986824 0.0005842889 0.00063423224 0.006044117 0.0006948431 0.001163244 0.00066817435 0.00087328156 0.0007743646 0.00066041615 0.0006686592 0.0013955049 0.0006356869 0.0006075635 0.0006812663 0.0007792135 0.0006962978 0.00071714795 0.0008150951 0.007330037 0.0011259078 0.0014052027 0.001137545 0.001365442 0.0012083385 0.0011651836 0.0011380299 0.0016064307 0.0011365752 0.0011220286 0.0011370601 0.0012097931 0.0011627591 0.0011608195 0.001408112 0.0020064625 0.00076612155 0.00069775246 0.0006861152 0.0007098746 0.0006657499 0.00072636077 0.0007176328 0.00066478015 0.0007249061 0.0007481807 0.0008136405 0.0007612727 0.00074672606 0.00067593256 0.00079812406 1401.0 7.6138473 10667.0 0.008155995 0.002437424 0.002812412 0.0020624355 0.0029999062 0.0029061593 0.0022499296 0.0021561827 0.0014999531 0.0050623417 0.001406206 0.0017811944 0.002812412 0.002718665 0.0034686415 0.002437424 0.0029061593 0.002718665 0.0029999062 0.0016874473 0.001406206 0.0021561827 0.001406206 0.0018749414 0.002437424 0.0021561827 0.0019686886 0.0022499296 0.0035623887 0.0018749414 0.0036561356 0.0025311708 0.0016874473 0.0032811475 0.0017811944 0.0030936534 0.006843536 0.0031874003 0.0018749414 0.0034686415 0.002437424 0.0033748946 0.003937377 0.0029999062 0.008155995 0.0021561827 0.0029999062 0.0022499296 0.004031124 0.0019686886 0.0019686886 0.0030936534 0.002624918 0.0030936534 0.002624918 0.0015937001 0.0021561827 0.00384363 0.0018749414 0.0020624355 0.002437424 0.0019686886 0.0032811475 0.002812412 0.0029999062 0.006843536 0.0030936534 0.0043123653 0.003937377 0.09327833 0.0029061593 0.0025311708 0.08727852 0.005343583 0.18111934 0.0016874473 0.005343583 0.003937377 0.0071247774 0.0071247774 0.0035623887 0.001406206 0.18168183 0.0046873535 0.09515328 0.0029061593 0.0037498828 0.08605981 0.0055310773 0.0023436768 0.0019686886 0.003937377 0.0025311708 0.0017811944 0.0021561827 0.0021561827 4.4081354 0.0 0.0 0.0 4.0 1032643.0 1085440.0 1.0 0.0 17.0 0.0 0.0 0.0 0.0 0.0 1542656500.0 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 -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 12.0 0.0 5.0 0.0 5.0 0.0 786432.0 4096.0 4096.0 5.0 0.0 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 245760.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -786432.0 -4096.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.5214746 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.2861853 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.7441893 -4.9101477 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 245381.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -40504.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -782656.0 -642.0 1024.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -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 -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 0.0 100.0 831572.0 1024.0 1081344.0 0.0 0.0 0.0 0.0 0.0 0.0 56.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 84.0 831488.0 0.0 0.0 0.0 0.0


Input: 0.33962673 0.008029514 0.0027126735 0.0050998265 0.0023871528 0.0010850695 0.00054253475 0.0006510417 0.0011935764 0.0007595486 0.00054253475 0.00043402778 0.0006510417 0.00043402778 0.0006510417 0.00032552084 0.00086805556 0.00032552084 0.00021701389 0.000108506945 0.0007595486 0.00032552084 0.00021701389 0.00043402778 0.00043402778 0.00032552084 0.00043402778 0.000108506945 0.000108506945 0.0006510417 0.00032552084 0.000108506945 0.036892362 0.0006510417 0.0013020834 0.00086805556 0.00043402778 0.00021701389 0.00021701389 0.004123264 0.000108506945 0.00043402778 0.00032552084 0.00021701389 0.0013020834 0.00043402778 0.008246528 0.00086805556 0.0024956597 0.0009765625 0.00086805556 0.0010850695 0.00054253475 0.00086805556 0.00043402778 0.00054253475 0.0016276041 0.0007595486 0.00043402778 0.00021701389 0.00043402778 0.00043402778 0.0007595486 0.00043402778 0.0015190972 0.0006510417 0.0009765625 0.0031467015 0.0011935764 0.00086805556 0.0010850695 0.0006510417 0.002061632 0.0013020834 0.00043402778 0.00032552084 0.0016276041 0.001953125 0.0016276041 0.0006510417 0.0016276041 0.000108506945 0.005642361 0.0023871528 0.0009765625 0.0016276041 0.0011935764 0.0007595486 0.00021701389 0.00032552084 0.00021701389 0.0 0.00043402778 0.00032552084 0.00021701389 0.0024956597 0.0007595486 0.0081380205 0.0017361111 0.0047743055 0.0034722222 0.017469618 0.0009765625 0.0027126735 0.0011935764 0.0066189235 0.00021701389 0.00043402778 0.0078125 0.0035807292 0.008463542 0.012152778 0.002061632 0.00054253475 0.009331597 0.0068359375 0.014539931 0.008029514 0.0010850695 0.00054253475 0.00086805556 0.0015190972 0.000108506945 0.001953125 0.000108506945 0.001844618 0.00043402778 0.00021701389 0.008246528 0.012803819 0.0048828125 0.007486979 0.0085720485 0.00390625 0.0007595486 0.00390625 0.0007595486 0.0017361111 0.000108506945 0.000108506945 0.004340278 0.0015190972 0.00032552084 0.00032552084 0.00032552084 0.00032552084 0.00054253475 0.0 0.00021701389 0.0 0.00043402778 0.0010850695 0.0 0.0 0.000108506945 0.0 0.00043402778 0.0 0.00032552084 0.0006510417 0.0007595486 0.000108506945 0.000108506945 0.000108506945 0.0010850695 0.00032552084 0.000108506945 0.00032552084 0.000108506945 0.00054253475 0.000108506945 0.000108506945 0.0028211805 0.0047743055 0.0050998265 0.0032552083 0.00021701389 0.016059028 0.0006510417 0.0030381945 0.007486979 0.016818576 0.0007595486 0.0071614585 0.0023871528 0.012369792 0.0035807292 0.0049913195 0.0116102435 0.0109592015 0.00021701389 0.014756944 0.00043402778 0.00021701389 0.00021701389 0.00021701389 0.00021701389 0.00043402778 0.00021701389 0.00032552084 0.00021701389 0.00032552084 0.00021701389 0.00021701389 0.00032552084 0.00032552084 0.12424045 0.055881076 0.00021701389 0.000108506945 0.00021701389 0.00021701389 0.00021701389 0.000108506945 0.000108506945 0.00021701389 0.00021701389 0.000108506945 0.000108506945 0.00032552084 0.0 0.0 0.00043402778 0.000108506945 0.00043402778 0.0 0.000108506945 0.0006510417 0.00021701389 0.00054253475 0.000108506945 0.000108506945 0.000108506945 0.0 0.00021701389 0.000108506945 0.000108506945 0.0 0.00054253475 0.00021701389 0.00021701389 0.000108506945 0.0 0.000108506945 0.00021701389 0.00032552084 0.00021701389 0.00032552084 0.000108506945 0.0 0.00021701389 0.000108506945 0.00032552084 0.000108506945 0.00021701389 0.00054253475 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.09686279 0.0005493164 0.002319336 0.0020751953 0.0024414062 0.0018920898 0.010986328 0.005126953 0.00012207031 6.1035156e-05 0.00024414062 0.0015258789 0.00048828125 0.0 0.00024414062 6.1035156e-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 0.067993164 0.0012207031 0.003112793 0.0025024414 0.0053100586 0.005065918 0.021972656 0.012939453 0.0005493164 0.0005493164 0.00061035156 0.0009765625 0.0006713867 0.00024414062 0.0006713867 0.00061035156 0.07312012 0.0020141602 0.030761719 0.0038452148 0.0051879883 0.005004883 0.020019531 0.013061523 0.033813477 0.0017700195 0.010986328 0.06524658 0.10656738 0.0013427734 0.001159668 0.0010986328 0.0059814453 0.0 0.010437012 0.0004272461 0.0010375977 0.0007324219 0.004333496 0.0036010742 0.015136719 0.0004272461 0.004638672 0.029052734 0.048950195 6.1035156e-05 6.1035156e-05 0.00012207031 0.037231445 0.00012207031 0.005004883 0.0008544922 0.0037841797 0.0037231445 0.01776123 0.010437012 0.0071411133 0.00030517578 0.0017700195 0.01373291 0.022766113 6.1035156e-05 6.1035156e-05 0.00024414062 0.034057617 0.0014648438 0.008911133 0.0020141602 0.002319336 0.002380371 0.0075683594 0.0059814453 0.010009766 0.0013427734 0.0032958984 0.01574707 0.026916504 0.0010986328 0.0009765625 0.00091552734 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 51.0 13.921569 710.0 0.1056338 0.0014084507 0.011267605 0.0056338026 0.0 0.0 0.0 0.050704226 0.0014084507 0.0028169013 0.0 0.0 0.009859155 0.0042253523 0.049295776 0.0056338026 0.01830986 0.0042253523 0.0014084507 0.0014084507 0.0014084507 0.0028169013 0.0014084507 0.0028169013 0.0014084507 0.0028169013 0.0028169013 0.0 0.0014084507 0.0042253523 0.0014084507 0.0028169013 0.0014084507 0.0028169013 0.0014084507 0.009859155 0.008450705 0.0014084507 0.0 0.0028169013 0.011267605 0.0042253523 0.0 0.0014084507 0.008450705 0.0042253523 0.0 0.0014084507 0.0056338026 0.0 0.029577464 0.011267605 0.0028169013 0.009859155 0.0014084507 0.0042253523 0.0 0.0014084507 0.0 0.0 0.0 0.0 0.0 0.0014084507 0.0042253523 0.023943663 0.011267605 0.028169014 0.0126760565 0.08028169 0.0 0.0070422534 0.0056338026 0.01830986 0.0014084507 0.0028169013 0.03380282 0.014084507 0.03380282 0.04366197 0.0070422534 0.0028169013 0.046478875 0.04225352 0.059154928 0.03661972 0.0 0.0 0.0042253523 0.008450705 0.0 0.02112676 0.0 0.02112676 0.0028169013 0.0014084507 5.1852384 0.0 0.0 0.0 1.0 9216.0 32768.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1518189400.0 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 1.0 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 6656.0 512.0 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 -6656.0 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 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.2959304 0.0 3.6809874 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 -6372.0 0.0 1136.0 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 75.0 14480.0 1136.0 16384.0 0.0 0.0 0.0 0.0 12.0 24576.0 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: 0.02417684 0.0045299614 0.0040485756 0.0039304337 0.0043166 0.0038228713 0.0037294156 0.0036906225 0.004254884 0.003792895 0.0037523387 0.0036676994 0.0039674635 0.0039022206 0.0037505752 0.00430602 0.0040115463 0.0037576286 0.0035777702 0.0036183265 0.0039674635 0.0041755345 0.0035248706 0.0036888593 0.0037664452 0.0036183265 0.0038087647 0.0037082557 0.0036447763 0.003870481 0.0036147998 0.0034948944 0.003942777 0.0037294156 0.0039692265 0.0037858416 0.0039727534 0.003627143 0.0036694626 0.0036059832 0.0037964215 0.0036412496 0.0035513204 0.003777025 0.0037999481 0.0034525746 0.003810528 0.0038299246 0.0036923857 0.003653593 0.0036447763 0.0039357236 0.0037629185 0.0036853326 0.0038087647 0.0036077467 0.0036870958 0.003849321 0.003671226 0.0038757708 0.0036430128 0.003632433 0.0037858416 0.0036165633 0.0048649916 0.0039850962 0.0042478307 0.0037153088 0.0038017114 0.004528198 0.0036782792 0.003704729 0.0036130366 0.0037347055 0.0036782792 0.003554847 0.003833451 0.003905747 0.003637723 0.0036447763 0.004226671 0.0037311788 0.0036518294 0.0039410135 0.0037294156 0.0037523387 0.0040432857 0.0040908954 0.0036941492 0.0037646818 0.0036888593 0.0038175813 0.003798185 0.0038034748 0.0036941492 0.0036941492 0.0037082557 0.003893404 0.0037876049 0.0037999481 0.0039180904 0.0045370148 0.0040432857 0.003821108 0.0040027294 0.003962173 0.0042249076 0.003754102 0.004022126 0.0037505752 0.0039180904 0.0041790614 0.0040714988 0.0037576286 0.004177298 0.00394454 0.0046604467 0.004616364 0.003738232 0.0040150727 0.0037664452 0.0039075105 0.0036447763 0.003777025 0.003754102 0.0039128005 0.0036906225 0.0038175813 0.0041014752 0.0038651908 0.0037611553 0.0040468127 0.0037558652 0.0041737715 0.0038369778 0.0036782792 0.0040256525 0.004138505 0.003810528 0.004905548 0.003743522 0.0039850962 0.0037117824 0.0036130366 0.0037523387 0.0035425038 0.003653593 0.0036253799 0.003914564 0.003576007 0.0037593918 0.0036870958 0.0035231074 0.0037294156 0.0037012023 0.0036394864 0.0037576286 0.003660646 0.0036835691 0.003681806 0.0037117824 0.0038034748 0.0036853326 0.0038299246 0.003798185 0.0036870958 0.00360422 0.0037029658 0.0036870958 0.0036571196 0.0037117824 0.003782315 0.0038299246 0.0037311788 0.00358306 0.0036500662 0.0038528477 0.003653593 0.0035636637 0.0035901135 0.0037858416 0.0038122914 0.0036959124 0.003754102 0.003748812 0.0037276521 0.003782315 0.0036870958 0.0038757708 0.0035125276 0.0037012023 0.0037223622 0.004249594 0.003905747 0.0038722442 0.0037682084 0.0037558652 0.0037805517 0.0037347055 0.0038969305 0.0038405044 0.003704729 0.003738232 0.003732942 0.0039004572 0.0035583738 0.0037082557 0.003459628 0.0036923857 0.0037029658 0.003637723 0.003732942 0.0037946582 0.0036077467 0.0037276521 0.0036077467 0.0037470486 0.0040397593 0.0036147998 0.0038651908 0.0036941492 0.0037170723 0.0037593918 0.003792895 0.0037893683 0.003627143 0.0036588828 0.0036359597 0.0037752618 0.003681806 0.0037629185 0.0035724803 0.0046798433 0.003911037 0.0038405044 0.0040256525 0.0038740074 0.003725889 0.0037717351 0.003777025 0.0039745164 0.0035336872 0.0036236164 0.0037082557 0.003909274 0.003648303 0.0038457944 0.0037417586 0.003937487 0.0038475578 0.0036659362 0.0037523387 0.004009783 0.0037188355 0.0037911315 0.008051305 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0011012865 2.4767889e-05 7.4303665e-05 4.0690105e-05 3.5382698e-05 4.6882076e-05 0.00017249066 9.022588e-05 6.368886e-05 1.769135e-06 5.307405e-06 2.6537025e-06 1.1499377e-05 2.6537025e-06 7.961107e-06 0.00013003142 0.0038186777 6.280429e-05 0.00013445425 8.6687614e-05 0.000642196 0.0003264054 0.0018399004 0.0012357407 0.00023706409 5.7496887e-05 6.280429e-05 6.1035156e-05 0.00010526353 5.218948e-05 6.988083e-05 0.00026537024 0.0021291538 4.511294e-05 0.00010084069 6.634256e-05 0.00035824982 0.00017868263 0.0009801008 0.0006943855 0.000121185745 7.253453e-05 0.00011057094 9.376415e-05 0.00010349439 0.00011234007 9.818699e-05 0.00016983696 0.00164618 9.818699e-05 0.0001716061 0.00016629869 0.00016010672 0.00013710796 0.00034144305 0.00026094742 0.00014153079 3.449813e-05 5.218948e-05 4.865121e-05 8.138021e-05 5.4843185e-05 7.872651e-05 0.0001494919 0.0036196501 0.0001088018 0.00010703267 0.00012383945 0.00021318076 0.00016364499 0.00026183197 0.0005740843 0.0005581621 0.00040601648 0.0003945171 0.00042370782 0.00048032013 0.00036621094 0.0003706338 0.0008863366 0.007689545 0.0009526792 0.00046351337 0.0010234446 0.0016682943 0.0014568827 0.0009862927 0.0017204838 0.0022105342 0.000885452 0.0010685575 0.00096064026 0.001613451 0.0011570143 0.0019318954 0.003196827 0.0053224424 0.0011030557 0.00074569037 0.0010384822 0.0018956282 0.0015869141 0.0007315373 0.0016797937 0.0021256157 0.0005148183 0.00053516333 0.0005493164 0.0011994735 0.0006943855 0.0012357407 0.0025926672 0.057690606 0.05748981 0.0582125 0.057037797 0.057192594 0.05729609 0.058047086 0.056997105 0.057754297 0.056961723 0.057249207 0.057369508 0.057080254 0.057321742 0.057352703 0.05742524 2790.0 6.4827957 18087.0 0.012605739 0.008680267 0.010173053 0.008403826 0.008514402 0.007408636 0.007574501 0.0076297894 0.007961519 0.006911041 0.0073533477 0.008790844 0.009067286 0.008956709 0.0111129545 0.008569691 0.009454304 0.010007188 0.008680267 0.0092884395 0.007408636 0.008403826 0.009233151 0.008735556 0.008514402 0.0070216176 0.009067286 0.009177863 0.0077956542 0.008072096 0.008514402 0.008901421 0.008956709 0.015314867 0.009896611 0.009951899 0.010891801 0.010891801 0.010725936 0.009675457 0.007906231 0.010117765 0.008237961 0.0074639246 0.010062476 0.010283629 0.009067286 0.010394205 0.0111129545 0.007740366 0.009233151 0.0128821805 0.009564881 0.009122574 0.008403826 0.009786034 0.008182673 0.007850942 0.008735556 0.0084591145 0.008680267 0.008403826 0.007408636 0.008514402 0.008846133 0.016310057 0.009564881 0.012605739 0.01487256 0.031735502 0.012605739 0.012163432 0.011057666 0.018355725 0.008237961 0.009011998 0.018134572 0.012052855 0.017913418 0.020401394 0.011942279 0.008901421 0.019903798 0.017636977 0.022668215 0.011278819 0.008348538 0.013158622 0.011499972 0.009951899 0.008624979 0.008072096 0.008237961 0.0065240227 0.009067286 0.008403826 6.50646 0.0 1.0 0.0 5.0 567113.0 204800.0 0.0 0.0 155.0 0.0 1.0 0.0 0.0 0.0 1260053500.0 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 6.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 23040.0 1024.0 4096.0 5.0 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 4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23040.0 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 0.0 0.0 0.0 5.262078 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.617802 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.481953 0.0 5.91206 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -110456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -22738.0 0.0 16688.0 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 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 -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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 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 -1.0 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 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 -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 1.0 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 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 -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 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 -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 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 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 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 -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 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 -2.0 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 -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 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 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 -1.0 0.0 0.0 -1.0 -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 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 -1.0 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 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 -1.0 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 0.0 1.0 0.0 -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 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 -1.0 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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 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 1.0 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 1.0 -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 -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 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 0.0 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 1.0 0.0 0.0 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 -1.0 -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 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 0.0 0.0 0.0 0.0 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 1.0 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 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 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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 29604.0 16688.0 184320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 652.0 28672.0 0.0 0.0 0.0 0.0


Input: 0.10840035 0.010484072 0.011061406 0.007410805 0.006067895 0.0037344473 0.00559715 0.004197246 0.009104445 0.0036056638 0.0032724708 0.0034546857 0.0036670414 0.0030434006 0.00450386 0.0028406351 0.003432491 0.003616898 0.0071263853 0.0040021525 0.004193136 0.002874064 0.003204243 0.003463728 0.0036358046 0.0029743507 0.0032612365 0.0033412466 0.0035064733 0.0033842658 0.0037845906 0.0042876685 0.005048587 0.0030982022 0.0029559922 0.0030387423 0.002985859 0.0030020254 0.0028250166 0.002765283 0.0035237356 0.002834607 0.0069521167 0.0029398259 0.0030420306 0.0033094618 0.003870629 0.0032543864 0.0050105 0.0037138967 0.0036289545 0.0037336254 0.003718555 0.003647587 0.0034719482 0.0035947035 0.00428027 0.004573184 0.003276307 0.0028644737 0.0028921484 0.0034930469 0.002986681 0.002763639 0.003136289 0.004245471 0.003940501 0.004800884 0.004132032 0.0038920017 0.003873643 0.0035519584 0.0038547367 0.0039618737 0.00397667 0.0036295024 0.0037725344 0.00412984 0.0038070593 0.0038059633 0.0041734073 0.0035673028 0.003832268 0.0046860753 0.004308493 0.0037396534 0.0038103473 0.0037001965 0.004053392 0.0035862094 0.0034796204 0.0028943405 0.002767201 0.002763913 0.0027378823 0.0033776897 0.0029337977 0.00633149 0.00419204 0.0059561 0.005190523 0.010603813 0.003953379 0.0044644033 0.004194506 0.006443833 0.0034815385 0.003831446 0.005501795 0.0052582026 0.0062742224 0.0061794156 0.0052165533 0.003682934 0.0062391493 0.0065419273 0.0077089253 0.0045564696 0.004275612 0.0039257044 0.003792537 0.004195054 0.002950238 0.002840361 0.0028091243 0.0027850117 0.0027814496 0.0027400744 0.0034585218 0.0031628679 0.002912425 0.002916261 0.0028874904 0.0030653211 0.0029055749 0.0027798053 0.0028855724 0.002768845 0.0028288527 0.003062033 0.0027907658 0.0027847376 0.0028820103 0.00279926 0.0029028347 0.0030061356 0.0029022868 0.0052124434 0.0028255647 0.0028236466 0.0029346196 0.00279789 0.003056553 0.0028173444 0.0027562408 0.0027030834 0.0030776516 0.0027000692 0.002654858 0.003023946 0.0028814622 0.0027811755 0.0026644482 0.0027888478 0.0029310575 0.002874886 0.0027888478 0.0026866428 0.0028157004 0.0027940539 0.0027159618 0.0028225505 0.0027126735 0.0027595288 0.0028507733 0.0028239207 0.0029622945 0.002870228 0.0026647223 0.0027970679 0.0027370602 0.002721442 0.0027595288 0.002761721 0.002805836 0.0027745992 0.0026937672 0.0028222767 0.0027411703 0.0030886119 0.0027039053 0.002688835 0.0029666785 0.0027910396 0.0028118643 0.002986955 0.0029395518 0.002878722 0.0027565148 0.0027417184 0.0028866683 0.0027082895 0.0028121383 0.002731306 0.0027556927 0.0027000692 0.0026699284 0.0026762306 0.002911055 0.002723634 0.0027504866 0.0028154263 0.0028126864 0.0027748733 0.0027354162 0.0027441846 0.0027444584 0.0027795315 0.0027513087 0.0027521306 0.0027066455 0.0027123997 0.002692123 0.0026628042 0.0029400997 0.0028263866 0.0027844636 0.0028165225 0.0028291268 0.002765557 0.0027093855 0.0027507606 0.0029033828 0.0028535135 0.0027907658 0.0027488426 0.002805836 0.002762543 0.0027581588 0.002799534 0.0029192753 0.0029379078 0.002729388 0.0027951498 0.0028266606 0.0026751347 0.0026839029 0.0027699412 0.0027924099 0.0028143304 0.0027841895 0.002688013 0.0027439105 0.0027151396 0.0033787857 0.004196424 0.0002791549 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.4816866e-07 0.0 0.0 1.3704216e-07 4.111265e-07 0.0 0.0 4.111265e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00024557958 0.0 0.0 0.0 0.0 0.0 3.5082794e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00023584957 4.933518e-06 0.0 0.0 1.3704217e-06 8.22253e-07 2.466759e-05 3.974223e-06 0.0 3.974223e-06 0.0 0.0 0.0 9.592952e-07 0.0 4.1112653e-06 0.004318884 0.0005267901 0.00042798268 0.00017719553 1.9871115e-05 4.248307e-06 7.564728e-05 4.796476e-06 3.1519698e-06 1.9185904e-05 5.618729e-06 1.0552247e-05 7.674362e-06 7.263235e-06 1.7815482e-06 2.6038012e-06 0.026868489 0.004376853 0.0033028533 0.0010598841 0.00021776001 9.81222e-05 0.00037385104 0.00021022269 8.0580794e-05 0.00043442368 0.00018678847 8.715882e-05 8.044375e-05 6.262827e-05 7.934742e-05 8.9351495e-05 0.018062022 0.0018758333 0.0008939261 0.00051568967 0.0012261163 0.0004312717 0.005255293 0.0024845744 0.0001732213 0.00034726487 0.0002931332 0.000120185985 0.00035768005 0.00012662697 0.00023598662 0.00015800963 0.0046460037 0.00047745492 0.00022584549 0.00022707887 0.00055584306 0.00047046578 0.0023749408 0.0013191679 0.00017979933 0.0002255714 0.0001260788 8.4417974e-05 5.9750386e-05 5.495391e-05 7.08508e-05 0.00012827147 0.030492157 0.0030513809 0.0014060526 0.0015905114 0.002761948 0.001927224 0.005524444 0.0031405955 0.001455936 0.0021270316 0.00081581203 0.000897078 0.00075633574 0.0006786328 0.00074427604 0.0007276939 0.04589611 0.0054797684 0.0055524004 0.010611723 0.014950615 0.011896905 0.02743365 0.016585255 0.0023997454 0.0028519847 0.0012431095 0.0013140973 0.0012749033 0.0010739994 0.0011400538 0.0012920336 0.013138233 0.0022187128 0.0015156864 0.0011936373 0.0008377388 0.00086583244 0.0012960078 0.0010656399 0.0012394094 0.0006805514 0.0003955037 0.0004308606 0.00047567338 0.00050568563 0.00050061505 0.000864462 0.0028898083 0.0004864997 0.00061956764 0.0005761253 0.00017116567 0.00020337058 0.0003987927 0.00031177094 0.00013457541 0.00016815074 7.3454605e-05 8.1677135e-05 0.00010990782 0.00021241537 0.0002485945 0.0011726698 0.0006313533 9.5655436e-05 0.00013334204 0.00019967044 4.3990538e-05 4.2071944e-05 7.1536015e-05 5.248715e-05 3.617913e-05 3.41235e-05 2.3023085e-05 4.5772085e-05 5.9750386e-05 5.673546e-05 7.455094e-05 0.00036439512 0.00049321476 6.194306e-05 7.770291e-05 7.455094e-05 7.263235e-05 6.701362e-05 0.00018240312 0.00013019006 5.5776163e-05 4.5223915e-05 3.9879273e-05 5.3583488e-05 4.28942e-05 5.1938983e-05 7.715474e-05 0.00015787258 0.00030519292 6.345053e-05 0.00010264458 0.00010771515 0.00010058895 8.866628e-05 0.0002473611 0.00017239904 6.509503e-05 6.153194e-05 5.7009544e-05 6.0572638e-05 5.9750386e-05 5.7694753e-05 5.5913206e-05 7.838812e-05 0.041785665 0.041384954 0.04118857 0.041326985 0.041565165 0.041397013 0.041496508 0.04156489 0.041078527 0.041209266 0.04144498 0.04141894 0.04153995 0.041191723 0.04162779 0.041422915 27916.0 15.240293 425448.0 0.004228484 0.001607717 0.0015278013 0.0015372031 0.0021389218 0.0014878435 0.0015089975 0.0017510953 0.0016053666 0.0015395536 0.0015278013 0.0016265208 0.0037160828 0.0016923337 0.010372596 0.0060641957 0.010515974 0.0093854 0.008659108 0.008938813 0.007888156 0.008727271 0.007951618 0.008102048 0.00791401 0.016822267 0.0032130836 0.0014831425 0.0015583573 0.003189579 0.00157246 0.0015442545 0.0016006656 0.011138846 0.0109038 0.015529512 0.012403396 0.011091838 0.009794381 0.009042233 0.008581542 0.010781576 0.008257179 0.0084663695 0.009246724 0.010323236 0.010285628 0.010306782 0.011938004 0.008506328 0.010760422 0.017268855 0.012838231 0.009430059 0.009197364 0.009674508 0.007937515 0.008200767 0.0077682817 0.0015630582 0.0016617777 0.001612418 0.00141968 0.007542637 0.0015395536 0.030245764 0.013823076 0.02226594 0.022016792 0.06819165 0.011371543 0.015520111 0.011263421 0.031113086 0.00826423 0.010689908 0.024066396 0.022625562 0.029538276 0.029218612 0.021078957 0.009258476 0.030104736 0.030147046 0.043133356 0.016643632 0.015343826 0.012024972 0.0096792085 0.013627987 0.0031801772 0.0015607078 0.0013773716 0.0015513059 0.0014572873 0.0016053666 6.0254736 0.0 630.0 0.0 84.0 3649536.0 3678208.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1542613900.0 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 -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 -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 6.0 0.0 4.0 0.0 4.0 0.0 3640832.0 1024.0 4096.0 4.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3640832.0 1024.0 6144.0 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 -7.5597625 7.287763 4.639366 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 -3640532.0 744.0 6004.0 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 -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 75.0 3648640.0 6004.0 3661824.0 0.0 0.0 0.0 0.0 12.0 3670016.0 28.0 3648555.0 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: 0.3920241 0.003156926 0.0025634766 0.0017991286 0.0021409255 0.0016338641 0.0011211688 0.0013559195 0.0030611479 0.0014836238 0.0021315354 0.0008657602 0.001926833 0.0020902194 0.00088266225 0.0020470251 0.0021803635 0.00080754206 0.0009333684 0.0009202224 0.0010798528 0.0032489484 0.00070800784 0.00071927585 0.0010122446 0.00077373796 0.00064227765 0.0008244441 0.0008657602 0.00078125 0.0005709135 0.0008338341 0.006710111 0.00072866585 0.0012657753 0.0007418119 0.0013502855 0.0007399339 0.00060096156 0.000775616 0.0012676532 0.00086200424 0.0008150541 0.0010873647 0.0010648287 0.00071739784 0.0010329026 0.0006272536 0.0020451471 0.0007418119 0.00071927585 0.0014404297 0.00067608175 0.0008225661 0.00064978964 0.0005164513 0.0007455679 0.00079064 0.00052208535 0.0010272686 0.0006141076 0.0009540264 0.00060096156 0.00057279144 0.0014404297 0.0026630107 0.002413236 0.0013577975 0.0014441857 0.0026648887 0.001139949 0.00089393026 0.0011343149 0.0014667218 0.0007230319 0.0005953275 0.0013596754 0.0015174279 0.0013408954 0.0010122446 0.002413236 0.0008638822 0.0014723558 0.0015963041 0.0020094651 0.0033240686 0.0014704778 0.0012920673 0.00080378604 0.001564378 0.00064978964 0.0011117789 0.0008789062 0.0014648438 0.0011530949 0.0011230469 0.0010009765 0.0028170072 0.0011944111 0.001603816 0.0028864935 0.0052527795 0.0021484375 0.0011361929 0.0020282452 0.0028677133 0.001960637 0.001162485 0.004351337 0.001958759 0.0033240686 0.0026123046 0.0014009916 0.0006723257 0.0029202974 0.0026442308 0.00472506 0.0033897986 0.0010948768 0.0011042668 0.001177509 0.0011230469 0.00084134616 0.00080378604 0.00097092846 0.0010779748 0.0008601262 0.001160607 0.0020676833 0.0013052133 0.0012714092 0.003102464 0.0014197716 0.0026761568 0.0010178786 0.0010141226 0.001968149 0.0028245193 0.0014329177 0.008330829 0.001160607 0.002711839 0.0018967849 0.0013728215 0.0020282452 0.001186899 0.0013333834 0.0013596754 0.0014291616 0.0012488732 0.0012376051 0.0012826773 0.0014948918 0.0015024039 0.0012958234 0.0014066256 0.001551232 0.0014629657 0.0012995793 0.001564378 0.0020920974 0.001988807 0.0018949069 0.0018817608 0.0016432542 0.0038123499 0.001577524 0.001577524 0.001947491 0.0017333984 0.0017333984 0.0018780048 0.0020376353 0.0017803486 0.0018442008 0.001945613 0.001947491 0.001932467 0.0020263672 0.0021259014 0.0020564152 0.0020320013 0.0021484375 0.0021409255 0.0023888221 0.0019118089 0.0022010216 0.0021615836 0.001992563 0.0020094651 0.0020226112 0.0020920974 0.0036433293 0.0026648887 0.0024038462 0.0028940055 0.0022141677 0.0018648588 0.0013484075 0.0026216947 0.002413236 0.00227802 0.0021165113 0.0021146333 0.0045034555 0.0018404447 0.0020564152 0.0020564152 0.0025015024 0.0022010216 0.0023475061 0.0020996095 0.002336238 0.0020883414 0.0022235578 0.0022141677 0.0025033804 0.002341872 0.0022066557 0.0023907002 0.0024583084 0.0026367188 0.0024489183 0.002373798 0.0030386117 0.0024338942 0.00233436 0.0026611327 0.0028451772 0.0026179387 0.0024432843 0.0023099459 0.0076453574 0.0030292217 0.0026085486 0.0032865084 0.0034592848 0.002651743 0.0028395432 0.0028263973 0.0035869891 0.0030010517 0.0030179538 0.0029371995 0.0033071665 0.0030292217 0.0033503606 0.0032282902 0.0038480319 0.0032696063 0.00317195 0.0034667968 0.005040565 0.0044809193 0.0076829176 0.11368314 0.015336171 3.951409e-05 8.467305e-06 0.0 9.408117e-07 0.0 9.408117e-07 0.0 0.0 9.408117e-07 9.408117e-07 0.0 5.64487e-06 1.41121745e-05 4.7040585e-06 1.8816233e-06 0.009121169 4.6099773e-05 3.5750843e-05 2.822435e-06 1.0348928e-05 1.0348928e-05 5.64487e-06 1.0348928e-05 5.64487e-06 1.5052987e-05 8.467305e-06 8.467305e-06 3.292841e-05 9.69036e-05 0.0001382993 8.561386e-05 0.021378063 3.0105974e-05 4.2336524e-05 2.7283539e-05 3.386922e-05 3.292841e-05 4.515896e-05 6.5856816e-06 4.7040585e-06 2.4461104e-05 0.00016087879 9.3140356e-05 0.00015523392 0.00030482298 0.0002568416 0.0005249729 0.009892634 0.000109134155 0.000103489285 2.5401914e-05 9.4081166e-05 7.808737e-05 0.00012983201 9.4081166e-05 3.857328e-05 3.857328e-05 3.6691654e-05 4.2336524e-05 4.7981393e-05 4.6099773e-05 3.951409e-05 0.00074418203 0.01366623 0.0001693461 9.125873e-05 0.000111956586 2.3520292e-05 2.8224349e-05 2.4461104e-05 6.679763e-05 6.679763e-05 2.7283539e-05 2.4461104e-05 3.0105974e-05 7.996899e-05 5.5507888e-05 7.0560876e-05 0.0066581243 0.007099365 7.24425e-05 4.8922207e-05 6.773844e-05 5.1744642e-05 6.867925e-05 0.00010254847 5.4567077e-05 0.00014018094 0.00012795039 5.9271133e-05 4.1395713e-05 9.7844415e-05 0.0002022745 0.00013077282 0.0012682141 0.009686597 0.00012700957 0.00012512795 0.00012606876 0.00014958905 0.00014206256 0.0003452779 0.00022014993 0.0002521375 0.00028036188 0.00025590078 7.714656e-05 0.000114779024 0.00022014993 0.00020415612 0.0011609616 0.04483344 0.00045629367 0.0005550789 0.00047228744 0.00056825025 0.00027001294 0.0008994159 0.00054661155 0.00042336524 0.0004826364 0.00092199544 0.00091446895 0.0015090619 0.0036174208 0.004460388 0.016140565 0.02948786 0.00034998194 0.00059459294 0.00034904113 0.00052685454 0.00029635566 0.0012512795 0.0009897338 0.0005833032 0.00047416906 0.0006802068 0.0014121582 0.0019691188 0.003087744 0.00375572 0.017775696 0.062288318 0.0008551978 0.0018562214 0.00060023787 0.0022221971 0.002138465 0.0065122982 0.0038319258 0.002073549 0.0032091085 0.0042562317 0.005681562 0.0054670568 0.006148204 0.008732614 0.03441583 0.11758076 0.001743324 0.00253831 0.0012625692 0.0021516362 0.0024809204 0.005400259 0.0047962577 0.0061896 0.008498352 0.011819417 0.014808375 0.011975592 0.0126802595 0.014052903 0.05562455 0.029721182 0.0009568055 0.0011468494 0.0005898889 0.0008175653 0.00100855 0.0013782891 0.0016238409 0.0015043578 0.002502559 0.0032843736 0.0031554822 0.003261794 0.0037688916 0.003492293 0.01115144 0.0054068444 0.0004534712 0.0003311657 0.00029729647 0.00035656762 0.0003791471 0.00031329028 0.0005259137 0.0013463015 0.00051838724 0.0005212097 0.000689615 0.00070560875 0.00061811326 0.00081380206 0.002137524 0.0061228024 0.0008457897 0.00081097963 0.0009201138 0.001907966 0.0013952237 0.0007996899 0.0009916155 0.0036202432 0.00047887315 0.00039796333 0.00044594472 0.0013820523 0.00038949604 0.0014281521 0.0031112642 0.022234201 0.004420874 0.007517085 0.004410525 0.009297101 0.008066519 0.014521428 0.008002544 0.010630231 0.002771631 0.0034198505 0.0028299615 0.0058565526 0.0028854695 0.00527419 0.011175902 0.015831038 0.006198067 0.004582694 0.004186612 0.0049825385 0.0068312334 0.0066063795 0.004225185 0.00874014 0.0032636756 0.005538558 0.0029993076 0.006403164 0.003281551 0.006218765 0.008376987 1477.0 14.984427 22132.0 0.11476595 0.000813302 0.002033255 0.0013555033 0.002033255 0.0010392192 0.00085848547 0.005602747 0.0058738478 0.0047442615 0.0014006868 0.0014006868 0.009127056 0.0021688053 0.009849991 0.0010844027 0.0029821075 0.001626604 0.0025302728 0.002123622 0.0011747696 0.0016717875 0.0009036689 0.0011295861 0.0015362371 0.0021688053 0.0014006868 0.0009940357 0.0013103199 0.0063708657 0.0014910537 0.0011747696 0.005783481 0.0117476955 0.004563528 0.011973613 0.010121091 0.016763058 0.004970179 0.006280499 0.00406651 0.017802278 0.0020784384 0.001626604 0.01613049 0.007184168 0.01482017 0.010618109 0.014413519 0.0024399061 0.016898608 0.013329117 0.026658233 0.0071389843 0.003840593 0.0068678837 0.0016717875 0.0032080247 0.00072293513 0.007229351 0.0013555033 0.0064160493 0.0012199531 0.0050605456 0.0030724742 0.043918308 0.0065967827 0.018299295 0.031131394 0.07739924 0.0055575636 0.009172239 0.005105729 0.031041026 0.003162841 0.0036146755 0.020739201 0.016627507 0.036417857 0.03813483 0.010121091 0.0019880715 0.04025845 0.03790891 0.05575637 0.01902223 0.0050153625 0.0037050424 0.0042020604 0.0063708657 0.0011747696 0.0010392192 0.0011295861 0.00067775167 0.0009940357 0.0009036689 5.478428 2.0 0.0 0.0 6.0 532480.0 618496.0 1.0 0.0 180.0 0.0 1.0 0.0 0.0 0.0 1320577000.0 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 -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 10.0 0.0 5.0 1.0 5.0 1.0 102400.0 1024.0 4096.0 4.0 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 54784.0 0.0 0.0 0.0 0.0 0.0 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 -102400.0 0.0 370176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.505376 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.637086 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.000962 0.0 4.113513 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 54394.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -78824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -101896.0 0.0 369896.0 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 -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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 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 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 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 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 -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 -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 -2.0 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 2.0 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 -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 1.0 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 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 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 -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 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 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 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 -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 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 -1.0 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 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 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 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 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 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 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 1.0 0.0 0.0 -2.0 -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 2.0 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 -1.0 -1.0 -1.0 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 0.0 0.0 1.0 0.0 1.0 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 -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 0.0 0.0 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 -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 1.0 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 -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 1.0 0.0 0.0 0.0 1.0 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 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 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 0.0 0.0 -1.0 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 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 -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 -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 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -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 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 -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 -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 0.0 160.0 156540.0 369896.0 245760.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 107312.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 154344.0 0.0 0.0 748.0 106496.0 0.0 0.0 0.0 0.0