Input: 0.20969158 0.021938197 0.00535987 0.006353551 0.005618345 0.00598568 0.006014906 0.0039420114 0.006791135 0.002524689 0.0035253412 0.0023815092 0.0025946705 0.0035473278 0.0019474105 0.010685151 0.006410662 0.0029255399 0.0017323722 0.002049031 0.0028912197 0.0090372395 0.0018970026 0.001862146 0.004249822 0.0026027143 0.0017532862 0.0017396116 0.0019155033 0.0016814279 0.0013374203 0.0020761117 0.007860696 0.0012599315 0.003057727 0.0016744566 0.014163302 0.0023841904 0.0013704 0.0011470497 0.004127288 0.0012366043 0.00082636916 0.0030826626 0.003207342 0.002175587 0.0015438786 0.0016546153 0.005049378 0.00085345004 0.0009845644 0.00516226 0.0016425495 0.00075290224 0.0011478541 0.000754511 0.0031081347 0.002133491 0.0008319999 0.0025190585 0.0015503136 0.0012055015 0.0009604329 0.0011617967 0.016459279 0.009505927 0.0019455337 0.0021107001 0.009045283 0.0071295123 0.0012046972 0.0018388189 0.058229532 0.005933931 0.0013572618 0.0024083217 0.008034443 0.0042798524 0.0012038928 0.0015672056 0.0040280805 0.0008655158 0.001145441 0.00195894 0.0026936096 0.002621215 0.0018447177 0.0027571558 0.0023018753 0.0008936692 0.00060006947 0.0013813933 0.0037883744 0.0013181152 0.0013277677 0.0025592777 0.0023970604 0.0015347622 0.00080009265 0.0016656085 0.0024418377 0.0023916978 0.0020750393 0.0008381668 0.0021141858 0.0016473758 0.0004901372 0.0008295867 0.0031413827 0.0010044059 0.0015361028 0.0016213674 0.002911061 0.0008443337 0.0019793177 0.0017154802 0.008203095 0.0042358795 0.0013033681 0.0015492411 0.0021195484 0.0008649795 0.0008035783 0.00077059865 0.0015304722 0.0010644664 0.0010682202 0.0020313344 0.0040704445 0.0024734768 0.001561575 0.011598931 0.0032778594 0.008430735 0.0010014565 0.0016237806 0.0017672288 0.011965729 0.0012666347 0.042635232 0.0012569821 0.013443916 0.00086390704 0.0015575531 0.0037422564 0.0011205052 0.000603287 0.0014025753 0.0009952895 0.0011872689 0.0007102699 0.0007743524 0.0015639882 0.00073976396 0.00071831373 0.00077059865 0.0027271255 0.0005544878 0.0014135685 0.0010027972 0.0015092901 0.0008271735 0.0015149207 0.00074619905 0.00067139143 0.0005453715 0.0007869544 0.0007958026 0.001750605 0.00070651615 0.0009805425 0.0006542313 0.001187537 0.0004925503 0.0008325361 0.00081537594 0.0018798424 0.0006904285 0.0009537298 0.000691501 0.00091056124 0.00048960093 0.00083602173 0.0016095698 0.0024820569 0.0016964431 0.0018600009 0.0011577748 0.00082905043 0.00061320775 0.0008357536 0.0010322911 0.008727016 0.0031016998 0.0017031463 0.004188689 0.0037985633 0.0010553501 0.0017554312 0.0039736507 0.0035459872 0.0026008375 0.0014570052 0.002723908 0.006212784 0.00086632016 0.0021013157 0.002654731 0.0028971185 0.0010116453 0.0019980867 0.0011660868 0.0012730696 0.00077756995 0.0012398219 0.001395604 0.0026898559 0.0016589053 0.0009674043 0.0013658418 0.0008258329 0.00094005524 0.0006944504 0.00080572336 0.0025485526 0.0014224168 0.00144199 0.0009518529 0.0010800179 0.0010365812 0.00079741137 0.0009338883 0.014544044 0.0028574355 0.001425098 0.0035298995 0.0034081696 0.0015141164 0.0012467932 0.0010489151 0.004184399 0.001395604 0.002019537 0.001906387 0.0013805889 0.00095265725 0.0018591966 0.0020908588 0.0038511162 0.0016948343 0.001923279 0.0012770916 0.0017524818 0.0020080074 0.002370784 0.04564979 0.00082180375 0.0 2.6821272e-07 0.0 2.6821272e-07 0.0 0.0 0.0 2.6821272e-07 0.0 2.6821272e-07 0.0 2.6821272e-07 0.0 0.0 8.0463815e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0026574517 0.00012163447 8.85102e-06 1.0862615e-05 7.429492e-05 5.8738584e-05 7.644063e-06 8.85102e-06 8.314594e-06 7.2417433e-06 9.119232e-06 7.509956e-06 7.644063e-06 1.0728509e-05 7.912276e-06 1.4349381e-05 0.00048707429 8.85102e-06 7.3758497e-06 1.1667254e-05 1.6897402e-05 1.5824551e-05 2.132291e-05 9.9238705e-06 2.0115954e-06 3.352659e-06 5.230148e-06 5.7665734e-06 7.2417433e-06 1.6763295e-05 3.312427e-05 0.00044617185 0.0042364197 6.4505155e-05 0.00027076073 8.6230386e-05 0.000117343065 7.872043e-05 0.00015221072 7.697705e-05 4.371867e-05 4.3986885e-05 2.0518273e-05 2.1054699e-05 4.42551e-05 3.0710355e-05 3.822031e-05 0.00016736473 0.022152895 0.00039963695 0.0014740971 0.0006854176 0.0013019046 0.00075448235 0.00081751234 0.00046280105 0.00029811842 0.00025399745 0.00021550892 0.00017286309 0.0001814459 0.00022382352 0.000225701 0.0011405746 0.029785156 0.0008391035 0.0021859335 0.0007574327 0.003259321 0.0009886321 0.002240783 0.0012073595 0.0004426851 0.00045998482 0.00053226814 0.00032198936 0.00035551595 0.00042350788 0.00038743328 0.0011301143 0.04815478 0.0019150388 0.003021014 0.0013815637 0.0070365607 0.0015092329 0.0037301683 0.0018773549 0.0010027132 0.00093096634 0.0013452208 0.0006288247 0.00083212997 0.0008184511 0.0009824631 0.0028340698 0.01779122 0.0016273806 0.0014833504 0.0007273929 0.0030245008 0.0010267183 0.0030443484 0.0016314038 0.00043906423 0.00044871986 0.0006050879 0.00031126087 0.00030737178 0.00030763997 0.00039078592 0.0017142816 0.01956786 0.003523108 0.0021275973 0.0013413318 0.0014546517 0.0011483527 0.0015969385 0.0013302009 0.0005578825 0.00053723005 0.0005678063 0.0005640513 0.0006351277 0.0006048197 0.0009982877 0.004642226 0.010444874 0.0016968477 0.0016759272 0.00071639614 0.000988498 0.00056431955 0.00061554817 0.0009282842 0.0010082116 0.00052127143 0.0004327612 0.0004896223 0.00059422525 0.0004595825 0.00073383 0.0025736352 0.01180659 0.0018980072 0.0025933487 0.0009284183 0.004478348 0.0008664612 0.00072444254 0.0012131261 0.00479913 0.0011479504 0.00060012593 0.000866193 0.0019102109 0.0008185852 0.0017219257 0.002352762 0.110355854 0.027048716 0.028087907 0.016685514 0.09203572 0.01858513 0.008975068 0.017595693 0.084617354 0.0103220325 0.0058903536 0.010141257 0.036043633 0.012908944 0.026079128 0.043378044 0.017890459 0.0051542437 0.006020034 0.0045475466 0.016715553 0.0047723087 0.0027414022 0.0048503587 0.013769773 0.0036989215 0.0028767155 0.0033463559 0.00788532 0.003395573 0.0065002693 0.013934589 0.002719945 0.0018646148 0.0018124474 0.0019295223 0.0017805301 0.0017157567 0.001842219 0.0017964888 0.0018262604 0.0016473625 0.0017107949 0.0016851805 0.0016729768 0.0016865216 0.0016941656 0.0020027442 9541.0 9.3587675 89292.0 0.019867402 0.0020270573 0.0014111006 0.000795144 0.033743225 0.0010303275 0.0010303275 0.0014222999 0.0040093176 0.001164718 0.0008063432 0.004087712 0.0012991085 0.0023182367 0.008466604 0.0025534201 0.011826367 0.0032701697 0.0022958384 0.011064821 0.0017918738 0.0012655109 0.000951933 0.000795144 0.0040429155 0.011456793 0.0016014873 0.0103592705 0.002217444 0.0014111006 0.0018030731 0.0073466827 0.03223133 0.10242799 0.0049052546 0.02173767 0.022790395 0.011747973 0.007021906 0.006977109 0.04475205 0.0060027773 0.0006719527 0.0012431125 0.013853425 0.0073802806 0.0015566904 0.00355015 0.009272947 0.001164718 0.0037293374 0.012274336 0.016384447 0.021558482 0.037091788 0.034471173 0.0029565918 0.0007727456 0.0010415267 0.0049388525 0.012464723 0.016877212 0.02513103 0.02826681 0.003807732 0.02016978 0.0059019844 0.011669578 0.009160955 0.03210814 0.008768982 0.00767146 0.0046812706 0.019990593 0.0008847377 0.0023742327 0.017739551 0.007996237 0.018120324 0.023943914 0.010426466 0.00072794873 0.020281773 0.01349505 0.037226178 0.0114791915 0.0068427185 0.0036061462 0.007985038 0.004714868 0.001108722 0.0009967298 0.0033597634 0.0011199211 0.0010303275 0.0038301304 5.724269 0.0 36.0 0.0 9.0 3729568.0 3776512.0 1.0 0.0 700.0 0.0 1.0 1.0 1.0 0.0 1542596700.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 16.0 5.0 2.0 5.0 2.0 2309632.0 1024.0 4096.0 5.0 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 829952.0 0.0 0.0 0.0 0.0 100352.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -37376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2309632.0 0.0 433152.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.4753633 0.0 0.0 0.0 0.0 6.2085233 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.7460043 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3863435 0.0 6.674612 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 829492.0 0.0 0.0 0.0 0.0 99960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -92968.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2309400.0 0.0 433144.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 1.0 0.0 -1.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 -1.0 1.0 -1.0 1.0 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 1.0 1.0 1.0 -1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 1.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 -1.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 1.0 1.0 0.0 0.0 1.0 2.0 0.0 0.0 1.0 0.0 0.0 -2.0 -1.0 -2.0 0.0 0.0 2.0 0.0 0.0 0.0 -3.0 1.0 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 -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 -1.0 0.0 -1.0 0.0 1.0 0.0 2.0 0.0 0.0 1.0 1.0 -1.0 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 1.0 -1.0 -1.0 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 -2.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 1.0 -1.0 1.0 1.0 0.0 2.0 0.0 2.0 0.0 -1.0 -1.0 3.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 2.0 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 1.0 2.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 2.0 0.0 -2.0 1.0 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 -3.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 2.0 0.0 -1.0 2.0 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 -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 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 1.0 1.0 -1.0 -1.0 0.0 1.0 -1.0 -1.0 -2.0 1.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 1.0 -2.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 -3.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 2.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 -2.0 0.0 0.0 1.0 0.0 0.0 2.0 -1.0 2.0 1.0 -1.0 0.0 0.0 1.0 -2.0 0.0 0.0 -1.0 -1.0 1.0 1.0 1.0 0.0 0.0 -2.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 1.0 -3.0 0.0 -1.0 0.0 1.0 0.0 0.0 -2.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 -1.0 0.0 2.0 1.0 -1.0 -1.0 0.0 1.0 -1.0 0.0 -1.0 1.0 2.0 0.0 2.0 1.0 1.0 0.0 0.0 1.0 1.0 2.0 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 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 1.0 1.0 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 -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 -1.0 0.0 1.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 -1.0 -2.0 -1.0 0.0 0.0 0.0 -2.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 1.0 2.0 -2.0 -1.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 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 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 2.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 1.0 1.0 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 1.0 -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 -1.0 0.0 0.0 -1.0 0.0 2.0 1.0 -1.0 1.0 1.0 0.0 -1.0 -1.0 -1.0 -2.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 1.0 0.0 -2.0 -2.0 0.0 1.0 0.0 -1.0 -1.0 1.0 1.0 0.0 -1.0 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 1.0 -1.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -2.0 -1.0 -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 -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 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 1.0 -1.0 -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 1.0 -1.0 1.0 0.0 -1.0 2.0 0.0 1.0 0.0 -2.0 -2.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 2.0 2.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 1.0 -1.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 400.0 3124928.0 433144.0 3342336.0 99960.0 3239936.0 18080.0 3711488.0 0.0 0.0 28.0 2844544.0 0.0 0.0 0.0 0.0 40.0 2844576.0 256.0 2732272.0 0.0 0.0 5752.0 2314240.0 64.0 3124816.0 0.0 0.0


Input: 0.056675028 0.008300423 0.0061735427 0.0056537306 0.005755208 0.0049630646 0.0041916305 0.0054228185 0.0050407257 0.005629915 0.0037484441 0.0044712103 0.004968242 0.0031861775 0.004322101 0.0046462067 0.0050376193 0.0037629409 0.0049268226 0.004153318 0.0043686978 0.0031799646 0.0041056853 0.0038354245 0.005069719 0.0033435707 0.0031654679 0.0029366266 0.004154353 0.0034336578 0.0037898635 0.0037991828 0.006180791 0.0038178214 0.0034895737 0.0030308552 0.004895758 0.00416885 0.0038468149 0.003720486 0.0047228327 0.0038975535 0.0033259676 0.003097126 0.004373875 0.00372877 0.0037266992 0.0035827672 0.0055170474 0.0039576115 0.003097126 0.0028941717 0.0036832087 0.0030784875 0.00269743 0.0028631072 0.004178169 0.0033135419 0.0035133897 0.0033352869 0.004001102 0.0032203484 0.0035071769 0.0034533318 0.006596019 0.0039576115 0.0036200443 0.0032275969 0.0041657435 0.0032255258 0.003550667 0.0030743454 0.005003448 0.0037764022 0.003707025 0.0035817316 0.0041346787 0.0031281905 0.0035672348 0.0034616156 0.005171196 0.0036283282 0.0036552509 0.0033301096 0.0039203344 0.0033839545 0.003361174 0.0035413478 0.004649313 0.0036562863 0.0038126442 0.0035019994 0.0041056853 0.0033849902 0.0036821733 0.003784686 0.005912601 0.0036355767 0.0033487482 0.0029490523 0.0040042084 0.0030577779 0.0032596968 0.003039139 0.004972384 0.00316961 0.003193426 0.0030484584 0.0035744833 0.0028403266 0.0030795229 0.0031923905 0.004513665 0.0032855838 0.0032224194 0.0031406165 0.0038913407 0.003329074 0.0032907613 0.0036283282 0.004616178 0.0032990451 0.0034843963 0.003161326 0.0040373434 0.0031923905 0.0034698995 0.0033415 0.008646273 0.0045985747 0.004016634 0.0035216736 0.0043635205 0.0034450481 0.003017394 0.0033777417 0.0045374813 0.003827141 0.0029697618 0.0031861775 0.0037256635 0.0027999429 0.0028558588 0.0029863296 0.005228148 0.0032079227 0.0034947512 0.0030122166 0.0036635348 0.0031820356 0.0033042226 0.0032638386 0.004540588 0.002841362 0.0030381037 0.0026984657 0.0035196028 0.0032358808 0.002985294 0.0031540776 0.004998271 0.0034077708 0.003279371 0.0028040847 0.0037784732 0.0030205005 0.0030557069 0.003183071 0.004137785 0.002995649 0.0031136938 0.0030142877 0.0036500734 0.0028403266 0.0029200588 0.0030339616 0.004670023 0.0031126584 0.0038395666 0.0028486105 0.00355688 0.003157184 0.002985294 0.0031219777 0.0042537595 0.0031499357 0.003339429 0.0031654679 0.0036542153 0.003193426 0.0033259676 0.0033425353 0.006714064 0.004060124 0.0037246281 0.0033301096 0.0041232887 0.0032617678 0.0033021516 0.003229668 0.0043314206 0.003337358 0.0031105874 0.00307331 0.0036345413 0.002985294 0.0030847003 0.002807191 0.0042537595 0.0032783356 0.0030909132 0.0029842586 0.0037173796 0.0030080746 0.0029324845 0.0029469812 0.0039783213 0.0031157648 0.0027326364 0.0026363367 0.003537206 0.0029428394 0.0035817316 0.002877604 0.004949603 0.0032348451 0.0033901674 0.0029780457 0.0038002182 0.00307331 0.003217242 0.0029107395 0.004455678 0.0054559535 0.0034709352 0.003133368 0.0037764022 0.0030691682 0.0032338097 0.0031841067 0.0046110004 0.0033249322 0.003423303 0.003039139 0.003746373 0.0030867714 0.0033114708 0.0032420936 0.00435213 0.0030339616 0.0031923905 0.0028662137 0.004014563 0.003097126 0.0042330497 0.0045147007 0.011667952 0.0 0.0 0.0 0.0 0.0 1.0366906e-06 3.1100717e-06 0.0 1.0366906e-06 2.0733812e-06 0.0 0.0 1.0366906e-06 0.0 1.0366906e-06 0.0020516105 4.1467624e-06 2.0733812e-06 6.2201434e-06 5.1834527e-06 1.0366906e-06 3.1100717e-05 1.1403596e-05 0.0 0.0 1.0366905e-05 0.0 0.0 0.0 0.0 0.0 0.0009501269 2.5917263e-06 6.2201434e-06 1.29586315e-05 9.330215e-06 5.701798e-06 5.1834526e-05 2.2807191e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028617843 3.5765825e-05 2.7990645e-05 1.0885251e-05 2.2288847e-05 3.4729135e-05 4.250431e-05 1.8142086e-05 3.5765825e-05 5.1834527e-06 9.848561e-06 1.6068703e-05 2.643561e-05 7.2568337e-06 1.7105394e-05 1.29586315e-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 0.00087963196 1.1921941e-05 1.2440287e-05 8.293525e-06 1.3476977e-05 1.6068703e-05 1.3476977e-05 1.1403596e-05 1.0885251e-05 1.3476977e-05 6.7384885e-06 1.3476977e-05 1.1921941e-05 1.0366905e-05 1.8142086e-05 9.848561e-06 0.0016244941 6.5311506e-05 5.701798e-05 4.8724454e-05 4.7687765e-05 3.058237e-05 2.2807191e-05 0.0005546294 3.0064026e-05 1.7105394e-05 1.9697121e-05 0.0002773147 2.073381e-05 0.00027420465 1.658705e-05 7.775179e-05 0.0007427888 3.732086e-05 3.421079e-05 2.073381e-05 2.2288847e-05 1.7105394e-05 1.3995323e-05 1.1921941e-05 1.658705e-05 2.2807191e-05 1.9178775e-05 1.7623739e-05 6.7384885e-06 4.6651076e-06 2.2807191e-05 5.0797837e-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 0.0013181521 3.732086e-05 4.3022657e-05 6.012805e-05 4.250431e-05 3.1619064e-05 9.174711e-05 5.8573016e-05 3.9394243e-05 5.7536326e-05 4.4059347e-05 4.3022657e-05 7.827014e-05 7.775179e-06 8.8118695e-06 0.00016120537 0.0011688686 6.945827e-05 4.613273e-05 4.613273e-05 3.835755e-05 3.7839207e-05 4.7687765e-05 6.012805e-05 5.2352872e-05 5.0797837e-05 6.842158e-05 5.1834526e-05 7.516007e-05 1.4513667e-05 4.4059347e-05 0.00025139746 0.0045800987 0.00029234673 0.0002736863 0.00026642947 0.00030582372 0.00023843882 0.0003296676 0.00030426867 0.00032603918 0.00035195643 0.00032500247 0.00035351148 0.00051938195 0.00015757697 0.00018815933 0.0007417521 0.0031966353 0.0002736863 0.00030064027 0.00024880574 0.00028871832 0.00028249816 0.00034314458 0.0009335398 0.0004074194 0.0003514381 0.00032448414 0.00066918373 0.00046288234 0.00043541004 0.00017468235 0.0008609715 0.0022511736 0.00018193919 0.00029027337 0.0002451773 0.00029856688 0.00029493845 0.00028560826 0.0004027543 0.0004431852 0.00032292912 0.000246214 0.0003172273 0.00046080895 0.00016172373 0.00018971437 0.0010387639 0.0003446996 5.4426255e-05 4.3022657e-05 4.509604e-05 5.4426255e-05 4.820611e-05 5.338956e-05 5.1834526e-05 7.0494956e-05 4.820611e-05 3.835755e-05 4.92428e-05 4.4577693e-05 2.643561e-05 4.1985968e-05 4.716942e-05 0.099201955 0.062019493 0.06248756 0.055313144 0.060653653 0.059557874 0.054952893 0.054465648 0.060471714 0.0531532 0.052133612 0.052925643 0.05643536 0.050534517 0.056633368 0.053858668 4034.0 5.7020326 23002.0 0.017128944 0.010520824 0.009433962 0.0086948965 0.013520563 0.012477176 0.011825059 0.011346839 0.012651074 0.009738283 0.008434049 0.0086948965 0.013868359 0.010564298 0.0117815845 0.009955656 0.016737675 0.011912008 0.008738371 0.007477611 0.009912182 0.008564472 0.00795583 0.008477524 0.010259978 0.008477524 0.009520912 0.008868794 0.011477263 0.0090861665 0.009694809 0.009129641 0.018041909 0.01086862 0.010346927 0.009042692 0.010825146 0.00882532 0.010651248 0.008347101 0.014216155 0.011607686 0.009694809 0.008912268 0.011477263 0.009390487 0.011651161 0.009564386 0.014737849 0.00960786 0.009912182 0.009042692 0.012042431 0.009477437 0.009564386 0.0098687075 0.013650987 0.009173116 0.01047735 0.009520912 0.011085993 0.009781758 0.010390401 0.010651248 0.017911486 0.011042518 0.009738283 0.008216677 0.013085819 0.008260151 0.009433962 0.0083036255 0.015389966 0.009260064 0.008868794 0.0086948965 0.011303365 0.007999305 0.009955656 0.00795583 0.013216242 0.008042779 0.008651421 0.008868794 0.0113903135 0.009520912 0.008260151 0.0079123555 0.010912094 0.008999217 0.011912008 0.008477524 0.011303365 0.008999217 0.009999131 0.008738371 6.5549617 0.0 0.0 0.0 14.0 965734.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 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 0.0 0.0 0.0 0.0 0.0 94208.0 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 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 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 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.9809646 0.00034664499 0.00013883485 0.0002166531 0.00030596726 0.00015033073 9.108274e-05 0.00010257861 0.00040677725 4.1562023e-05 4.6867815e-05 0.00013971915 0.00018658696 5.0405008e-05 4.952071e-05 0.00028739698 0.0001609423 3.5371937e-05 2.9181847e-05 2.2991759e-05 0.000108768705 0.00012557037 2.2991759e-05 2.210746e-05 9.992572e-05 1.9454565e-05 1.8570267e-05 3.0066145e-05 5.3057905e-05 2.210746e-05 1.1495879e-05 3.5371937e-05 7.0743874e-05 1.3264476e-05 1.3264476e-05 2.9181847e-05 0.0001114216 1.8570267e-05 3.0066145e-05 1.9454565e-05 3.5371937e-05 1.061158e-05 7.958685e-06 0.0001635952 2.3876057e-05 7.074387e-06 1.2380177e-05 8.842984e-06 3.5371937e-05 1.3264476e-05 2.741325e-05 0.00020250434 2.5644653e-05 2.2991759e-05 1.591737e-05 1.1495879e-05 3.7140533e-05 6.013229e-05 7.074387e-06 0.00015386792 4.3330623e-05 3.448764e-05 2.0338863e-05 1.1495879e-05 9.727282e-05 0.0003873227 4.509922e-05 5.57108e-05 5.57108e-05 0.00034576067 6.720668e-05 3.448764e-05 5.8363694e-05 1.4148774e-05 1.7685968e-05 9.727282e-06 4.1562023e-05 0.00021400022 3.0950443e-05 2.4760355e-05 0.0002201903 6.809098e-05 2.8297549e-05 0.00011938028 1.8570267e-05 0.00018304976 0.00017509109 0.00012468608 4.863641e-05 0.00014414063 8.842984e-06 5.8363694e-05 2.741325e-05 0.000219306 0.00012380177 8.047115e-05 8.312405e-05 6.543808e-05 1.7685968e-05 1.061158e-05 3.0066145e-05 2.6528953e-05 9.108274e-05 7.958685e-06 0.00012645467 1.061158e-05 0.00015121502 9.727282e-06 2.0338863e-05 1.2380177e-05 1.4148774e-05 9.727282e-06 3.7140533e-05 1.9454565e-05 3.890913e-05 0.00010788441 0.00025467793 0.00032630612 2.0338863e-05 2.4760355e-05 2.9181847e-05 2.122316e-05 3.5371936e-06 1.2380177e-05 2.741325e-05 7.251247e-05 3.802483e-05 3.183474e-05 6.1016588e-05 9.6388525e-05 1.4148774e-05 0.0003846698 7.870256e-05 0.0002759011 4.421492e-06 6.1900887e-06 3.6256235e-05 0.00044745498 4.509922e-05 0.0011389763 4.0677725e-05 0.00031392594 8.842984e-06 5.30579e-06 1.3264476e-05 4.421492e-06 8.842984e-07 8.842984e-06 1.8570267e-05 1.591737e-05 3.5371936e-06 4.421492e-06 1.2380177e-05 9.727282e-06 0.0 3.5371936e-06 1.061158e-05 1.4148774e-05 2.652895e-06 4.421492e-06 1.50330725e-05 3.183474e-05 9.727282e-06 2.122316e-05 1.591737e-05 1.1495879e-05 1.7685968e-06 8.842984e-07 1.591737e-05 8.842984e-06 5.30579e-06 1.3264476e-05 5.30579e-06 3.5371936e-06 1.7685968e-06 3.6256235e-05 2.6528953e-05 1.061158e-05 2.652895e-06 9.727282e-06 1.4148774e-05 1.2380177e-05 6.1900886e-05 5.2173604e-05 7.870256e-05 3.0066145e-05 1.2380177e-05 1.1495879e-05 1.2380177e-05 1.591737e-05 1.9454565e-05 1.4148774e-05 0.00029093417 0.00027236392 0.00010434721 0.00017951257 7.251247e-05 1.50330725e-05 5.3057905e-05 0.00011407449 0.00010434721 5.6595098e-05 2.122316e-05 1.591737e-05 8.931414e-05 1.4148774e-05 4.5983517e-05 4.1562023e-05 0.00010169431 1.8570267e-05 3.183474e-05 3.6256235e-05 1.4148774e-05 2.652895e-06 1.9454565e-05 1.680167e-05 7.162817e-05 3.183474e-05 1.3264476e-05 6.543808e-05 3.448764e-05 2.5644653e-05 5.30579e-06 7.074387e-06 6.1900886e-05 1.9454565e-05 5.2173604e-05 3.5371936e-06 6.1016588e-05 5.1289306e-05 4.6867815e-05 4.863641e-05 0.00058186834 5.48265e-05 2.210746e-05 0.0001644795 0.00019454565 7.074387e-06 1.2380177e-05 1.3264476e-05 0.00023168618 3.448764e-05 1.591737e-05 2.210746e-05 0.000113190195 1.4148774e-05 6.543808e-05 5.0405008e-05 0.00024229776 5.6595098e-05 2.210746e-05 4.5983517e-05 0.00018393407 0.00010788441 7.5165364e-05 0.0011257118 0.97733456 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008804999 8.8536945e-07 0.0 8.8536945e-07 3.098793e-06 3.9841625e-06 0.0 2.2134236e-06 5.3122167e-06 4.4268472e-07 0.0 4.4268472e-07 4.4268472e-07 4.4268472e-07 2.2134236e-06 5.7549014e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00051705574 1.682202e-05 1.1067118e-05 2.3904975e-05 3.6742833e-05 3.452941e-05 2.4790344e-05 2.6561083e-05 5.3122167e-05 3.098793e-06 5.7549014e-06 5.3122167e-06 3.4086723e-05 1.6379336e-05 3.4086723e-05 6.3303916e-05 0.0004258627 2.9659877e-05 3.0545245e-05 1.3280542e-05 5.2679483e-05 5.0908744e-05 4.4268472e-05 4.2497733e-05 5.2679483e-05 6.197586e-06 6.640271e-06 1.19524875e-05 3.76282e-05 8.853694e-06 3.939894e-05 5.356485e-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 0.0026676182 0.00042364927 0.0003094366 0.00036344415 0.0007884215 0.0009278672 0.00027048038 0.0005670791 0.0018260744 6.1975865e-05 8.765158e-05 0.00021248867 0.000834018 0.00022444116 0.0008061289 0.001415263 0.001805711 0.0003364404 0.00020230692 0.00032094642 0.0006033793 0.0006241855 0.0003275867 0.000417009 0.0010226017 5.3122167e-05 9.650527e-05 0.0001505128 0.00058345846 0.00024391928 0.0005037752 0.00086810475 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 42.0 6.547619 275.0 0.03272727 0.0036363637 0.0036363637 0.0072727273 0.043636363 0.0 0.010909091 0.0 0.010909091 0.0036363637 0.0 0.010909091 0.014545455 0.0036363637 0.025454545 0.0 0.0 0.0072727273 0.0036363637 0.0036363637 0.0 0.0072727273 0.0 0.010909091 0.0036363637 0.014545455 0.0 0.02909091 0.010909091 0.0 0.0 0.0 0.021818181 0.0072727273 0.0036363637 0.0036363637 0.010909091 0.0 0.021818181 0.0036363637 0.0 0.0 0.0072727273 0.0 0.0036363637 0.0 0.0036363637 0.0036363637 0.03272727 0.025454545 0.010909091 0.061818182 0.0072727273 0.010909091 0.036363635 0.03272727 0.0036363637 0.014545455 0.0 0.014545455 0.010909091 0.0072727273 0.0072727273 0.014545455 0.0072727273 0.025454545 0.0036363637 0.014545455 0.014545455 0.021818181 0.0036363637 0.0072727273 0.014545455 0.014545455 0.018181818 0.0036363637 0.0072727273 0.0072727273 0.021818181 0.014545455 0.0036363637 0.0 0.02909091 0.014545455 0.06909091 0.02909091 0.0036363637 0.0 0.0036363637 0.0 0.0 0.0036363637 0.0 0.0 0.0 0.0 5.6617556 0.0 0.0 0.0 4.0 1130840.0 1130496.0 1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 1525819500.0 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 14.0 0.0 5.0 1.0 5.0 1.0 84480.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 27648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -84992.0 0.0 991232.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.5347075 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4276.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 27648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4760.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -84349.0 0.0 991116.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 115388.0 991116.0 131072.0 0.0 0.0 19288.0 1111552.0 4276.0 1122304.0 84.0 113008.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 113096.0 0.0 0.0 416.0 90112.0 0.0 0.0 0.0 0.0


Input: 0.09291295 0.009622311 0.014075182 0.0067585735 0.0062905843 0.002208046 0.009352171 0.0027191557 0.0052747056 0.0028130072 0.028820008 0.006511262 0.0017983969 0.016973164 0.0018288352 0.0006658381 0.0012530439 0.0048295455 0.0022993607 0.0038073254 0.0013189935 0.0007000812 0.0038935675 0.0014242594 0.0010526583 0.00044769683 0.0006823255 0.00065949676 0.0006772524 0.0008129566 0.0011985085 0.002603744 0.067011215 0.0007355925 0.0008421266 0.0026595474 0.00039950284 0.0010780236 0.003178267 0.00048447645 0.006080053 0.0007850548 0.0025301846 0.0030653917 0.0004971591 0.0024236506 0.0008471997 0.01476385 0.005714793 0.0034357244 0.0024705762 0.0014686486 0.00105139 0.0007723722 0.0012910917 0.00044262377 0.00237292 0.0013811383 0.00079139613 0.00031199268 0.028420506 0.00039442978 0.028444603 0.00036779625 0.00085227273 0.0056792814 0.0036132813 0.0191216 0.011945769 0.0034268466 0.009628653 0.00091695413 0.0011706067 0.01052151 0.0010881696 0.0015929383 0.003341873 0.007823914 0.0035600143 0.0037286931 0.0066139917 0.0051098317 0.011926745 0.011716213 0.007898742 0.002849787 0.0009562703 0.00057705963 0.0011985085 0.0023171164 0.0006772524 0.00030311485 0.00036145496 0.00036272322 0.00032721186 0.0129299415 0.0005440848 0.031882863 0.0008839793 0.012453075 0.015186181 0.045873072 0.0047394987 0.00606737 0.0024553572 0.031641893 0.0014090402 0.0019810267 0.016283229 0.007131443 0.03262226 0.037610337 0.0050552962 0.0005314022 0.024813564 0.017247109 0.03240412 0.013555195 0.0026227678 0.0042410716 0.0071352473 0.00964514 0.00056057225 0.0022410208 0.0005364753 0.0010856331 0.00051237823 0.00020419034 0.0013747971 0.002637987 0.00051618303 0.00041599025 0.00033735795 0.00031199268 0.0019023945 0.0002840909 0.00033101664 0.00041091722 0.00089412543 0.00062525366 0.000636668 0.0006886668 0.00047813516 0.00029043222 0.0004007711 0.000487013 0.00029170047 0.0003157975 0.00040964896 0.0002536526 0.00036145496 0.00030565137 0.00036906454 0.00030691965 0.00046418424 0.0003386262 0.00065822847 0.00026633524 0.0003018466 0.00023589692 0.00047813516 0.00023716518 0.00062398537 0.00024223822 0.00030057834 0.0002511161 0.00023336039 0.00018262987 0.00031706574 0.00036779625 0.00023843344 0.00020165382 0.00023843344 0.00023843344 0.00024604303 0.00034369927 0.00023462865 0.0002498478 0.00023970171 0.00021053165 0.00025492086 0.00023970171 0.00023843344 0.00025492086 0.00025745737 0.00020672687 0.00020419034 0.0002092634 0.0002840909 0.00029043222 0.00019784903 0.00019404423 0.0017527394 0.0002511161 0.00019277597 0.00032848012 0.00045784295 0.00020165382 0.00036018668 0.00016867898 0.0001953125 0.00041725853 0.00022828733 0.0003322849 0.0002676035 0.00023589692 0.00020672687 0.00022194603 0.00058086443 0.00033482144 0.0004071124 0.0004832082 0.0002878957 0.00027140827 0.00041091722 0.00019784903 0.00030311485 0.000631595 0.00032848012 0.00031326097 0.00058086443 0.00038555195 0.0002194095 0.00024857954 0.0007406656 0.00027774958 0.00026506698 0.00022067776 0.00031452923 0.00027774958 0.00032594358 0.00027140827 0.00026126218 0.00038808846 0.00027267655 0.0002511161 0.00040330764 0.00026126218 0.00027648133 0.00043374594 0.00030945617 0.00029931008 0.0004553064 0.00017755682 0.00027648133 0.00047559862 0.00044262377 0.00023209212 0.00032467532 0.00025999392 0.00022067776 0.00018389813 0.0003018466 0.00017375204 0.0017159599 0.0026024757 0.0012927706 0.0 0.0 0.0 6.349561e-07 0.0 0.0 0.0 2.5398244e-06 0.0 0.0 6.349561e-07 1.9048683e-06 0.0 0.0 1.9048683e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0010495825 3.8097367e-06 1.7143815e-05 2.3493376e-05 2.9842937e-05 1.3334078e-05 0.000112387235 4.3177017e-05 2.5398244e-06 0.0 1.2699122e-06 1.2699122e-06 0.0 0.0 1.9048683e-06 6.349561e-07 0.0009810072 0.00013969034 3.428763e-05 3.1747807e-06 1.2699122e-06 7.6194733e-06 4.0002236e-05 1.7143815e-05 3.3652675e-05 4.444693e-06 6.9845173e-06 0.0 1.5238947e-05 1.2699122e-06 2.5398244e-06 1.2064166e-05 0.00571143 0.0004571684 0.00049526576 0.00013334079 0.00048066178 0.00031811302 0.001909313 0.00055939634 5.587614e-05 2.4128332e-05 8.889386e-06 2.2223463e-05 2.3493376e-05 4.0002236e-05 8.254429e-06 0.00015556425 0.0051031425 0.00033144708 0.00041018164 0.00023556872 0.004511998 0.0032960572 0.018790891 0.008598575 0.00010984741 6.921022e-05 3.3652675e-05 8.889386e-06 3.2382763e-05 2.0318595e-05 8.889386e-06 5.1431445e-05 0.092733435 0.012602609 0.014805906 0.004843445 0.0030630282 0.0023385433 0.010647579 0.008289352 0.0028280944 0.0013289631 0.0009606886 0.00048701133 0.0014540495 0.0021823442 0.0006260667 0.0020572578 0.04082514 0.0062981294 0.027028177 0.022659045 0.018242288 0.01924044 0.077796094 0.038809154 0.0026839594 0.00080512435 0.00068765745 0.00034414622 0.0009435448 0.00061717734 0.00065463973 0.001142921 0.039381884 0.0032033536 0.060318924 0.04790934 0.058735345 0.03803641 0.13506787 0.06270382 0.0021588507 0.00068384776 0.00056066626 0.0004095467 0.0006343211 0.00038732323 0.00087560446 0.0014686534 0.015362129 0.0021055145 0.0018489922 0.0013041998 0.00086417526 0.0009943412 0.001708032 0.0012140361 0.002081386 0.0008292527 0.00049399585 0.00054669724 0.0008336974 0.0008216332 0.0010756156 0.0017264456 0.003195734 0.0007575026 0.0006711486 0.00036382987 0.00043050025 0.0002965245 0.0010286289 0.00050098036 0.00034922585 0.000245728 0.00023683863 0.00024699792 0.00015238946 0.000202551 0.00025779218 0.0001663585 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0003517657 0.00014540495 7.8734556e-05 6.984517e-05 5.397127e-05 5.587614e-05 0.00010222793 6.921022e-05 8.889385e-05 3.428763e-05 3.2382763e-05 4.1272146e-05 4.6986752e-05 3.2382763e-05 5.587614e-05 4.1272146e-05 0.001692793 0.0016451713 0.0017969258 0.0016877133 0.0017016823 0.0016115186 0.0018648661 0.0017353351 0.0017550187 0.0017480341 0.0017239058 0.0016604102 0.0016858085 0.0016864435 0.001678189 0.001634377 14859.0 33.83579 502766.0 0.09862242 2.7845956e-05 3.182395e-05 2.3867962e-05 4.1768933e-05 2.1878966e-05 2.1878966e-05 2.7845956e-05 3.9779938e-05 2.7845956e-05 2.9834953e-05 1.3922978e-05 0.00010939483 0.0027965296 0.00067029195 0.0225055 0.0053842147 0.0047397795 0.0032957678 0.0014360558 0.0008870926 0.00071404985 0.0012431231 0.0001253068 0.00010740583 0.00014519677 0.00040575536 1.3922978e-05 0.044137828 0.00011735081 0.044129875 8.5526866e-05 1.3922978e-05 0.008319974 0.005139568 0.029116925 0.018268935 0.0049605584 0.014662885 0.0009547185 0.0013724079 0.015496274 0.001284892 0.0020367329 0.0045886156 0.011900168 0.005010283 0.0052569187 0.009642657 0.007456749 0.018068047 0.017861191 0.011733092 0.0039521367 0.0008353787 0.0005012272 0.0009944985 0.0027010578 0.0005728311 1.9889969e-05 2.1878966e-05 2.7845956e-05 9.944984e-06 0.019677145 2.585696e-05 0.049400717 0.0007876428 0.018829834 0.023153912 0.071337365 0.0066750734 0.008789377 0.003090901 0.048573293 0.0008115107 0.00251807 0.024989756 0.010670968 0.05056229 0.050431017 0.007154422 0.00033415147 0.038270287 0.024733176 0.048983026 0.020588107 0.0032878118 0.0060803634 0.010551629 0.014611171 0.00022873464 3.5801942e-05 1.3922978e-05 2.1878966e-05 1.1933981e-05 5.9669906e-06 5.1306386 0.0 2.0 0.0 1.0 788480.0 819200.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1541064200.0 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 6.0 0.0 4.0 0.0 4.0 0.0 784896.0 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 -784896.0 512.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.7806721 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.0971503 6.8209386 3.305277 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 -784868.0 488.0 1028.0 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 792976.0 1028.0 802816.0 0.0 0.0 0.0 0.0 12.0 811008.0 28.0 792884.0 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: 0.58184344 0.009859526 0.004732572 0.00400015 0.0041691707 0.0021409255 0.0026855469 0.0016150841 0.002779447 0.0020282452 0.005389874 0.0014272836 0.0012958234 0.0014648438 0.0012207031 0.0011268029 0.0013333834 0.0025916467 0.0016150841 0.0018404447 0.0010704627 0.0012958234 0.0014648438 0.0017277644 0.001953125 0.0020094651 0.0016526442 0.0014460637 0.0017841046 0.0018216646 0.0013897235 0.0018592248 0.0052208533 0.0011080229 0.0018967849 0.0014085036 0.0012019231 0.0009953425 0.0012582632 0.0013333834 0.0020470251 0.0014085036 0.0014648438 0.0013897235 0.001990685 0.0013333834 0.004732572 0.0012207031 0.0029296875 0.0025728666 0.0014836238 0.0012582632 0.0014836238 0.0012770433 0.000788762 0.0016714243 0.00095778244 0.0011080229 0.0006385216 0.00060096156 0.00095778244 0.0017653245 0.0006573017 0.0006573017 0.00088266225 0.001558744 0.0008638822 0.0022536058 0.0026104266 0.00075120194 0.0010892428 0.0015211839 0.00080754206 0.001934345 0.000769982 0.0008263221 0.0010892428 0.0011268029 0.0012958234 0.0009953425 0.0012770433 0.0009202224 0.0013146034 0.0030048077 0.0013146034 0.000769982 0.0010141226 0.0005821815 0.00067608175 0.00045072116 0.00045072116 0.0005446214 0.0005821815 0.0003568209 0.0005446214 0.0017653245 0.0006573017 0.0050706128 0.0029672475 0.0031362681 0.0024226261 0.011624849 0.0014836238 0.0018216646 0.0011268029 0.006610577 0.00060096156 0.0009765625 0.0049579325 0.004751352 0.0064227763 0.009615385 0.0028733474 0.0009014423 0.0074744592 0.0063852165 0.008169321 0.00392503 0.001539964 0.0014648438 0.00095778244 0.0031926082 0.0010704627 0.0019719051 0.0005446214 0.0006385216 0.0005258414 0.000788762 0.0022536058 0.0003192608 0.00048828125 0.00041316106 0.0003568209 0.00067608175 0.000394381 0.00037560097 0.0006385216 0.0004695012 0.00048828125 0.0004695012 0.00061974156 0.0004695012 0.00080754206 0.00060096156 0.0008638822 0.0005821815 0.0005070613 0.00018780048 0.0004319411 0.0005446214 0.0003192608 0.00060096156 0.00037560097 0.0006385216 0.0003568209 0.00037560097 0.00069486175 0.00060096156 0.00075120194 0.0006573017 0.0007136418 0.0013521635 0.0008638822 0.000788762 0.0005258414 0.0005821815 0.0005821815 0.0004319411 0.0005821815 0.0010516827 0.0009014423 0.0009014423 0.0006385216 0.00080754206 0.00075120194 0.0006573017 0.0009765625 0.00088266225 0.00075120194 0.000788762 0.0009390024 0.0006385216 0.0008263221 0.0006573017 0.00069486175 0.00088266225 0.0004319411 0.0005258414 0.000394381 0.0005821815 0.0005821815 0.00048828125 0.0012958234 0.0004319411 0.00033804087 0.0005446214 0.0004695012 0.00028170072 0.00037560097 0.00045072116 0.00048828125 0.00060096156 0.0007136418 0.0005446214 0.0008638822 0.00030048078 0.0005821815 0.0006385216 0.0004319411 0.000394381 0.0004319411 0.00033804087 0.0002629207 0.00045072116 0.00037560097 0.0003568209 0.00037560097 0.000394381 0.00061974156 0.0003568209 0.00061974156 0.00018780048 0.0006573017 0.0003568209 0.0012582632 0.0004695012 0.00033804087 0.00060096156 0.0003192608 0.00030048078 0.0003568209 0.00033804087 0.0002629207 0.00041316106 0.00028170072 0.00041316106 0.00015024039 0.0005821815 0.0006385216 0.00069486175 0.0014648438 0.00061974156 0.0004695012 0.0006573017 0.00061974156 0.0005070613 0.0007136418 0.00075120194 0.0010141226 0.0004695012 0.0004695012 0.000769982 0.0011455829 0.0007324219 0.0021784855 0.07489483 0.13719745 0.0 0.0 1.9148285e-05 0.0 0.0 0.0 0.0 0.0 1.9148285e-05 0.0 1.9148285e-05 0.0 0.0 0.0 0.0 0.018947227 2.8722427e-05 6.7019e-05 0.0 5.7444853e-05 3.829657e-05 0.00027765014 0.00015318628 0.0 0.0 0.0 2.8722427e-05 0.0 0.0 0.0 9.5741425e-06 0.03659237 0.0002489277 0.00025850185 8.616728e-05 0.00017233456 7.659314e-05 0.00029679842 0.0001819087 7.659314e-05 8.616728e-05 0.00017233456 0.0002489277 0.000114889706 0.000114889706 0.000105315565 0.0003829657 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.04840686 0.0019435509 0.00085209863 0.0006797641 0.00048828125 0.00057444855 0.001819087 0.0010627297 0.0003159467 6.7019e-05 4.787071e-05 0.000114889706 0.00028722428 5.7444853e-05 0.00019148285 0.0019148284 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.07058058 0.0015318628 0.00201057 0.0014169731 0.0013020834 0.0010148591 0.004518995 0.002489277 0.0004308364 0.0004978554 0.0007659314 0.00085209863 0.00070848654 0.00046913297 0.00062231923 0.008827359 0.036621094 0.004308364 0.0022020526 0.00089996937 0.00091911765 0.00078507967 0.0038009344 0.002824372 0.00044041054 0.00022020527 0.00060317095 0.00059359684 0.00032552084 0.00021063113 8.616728e-05 0.0039828434 0.06004902 0.0024031096 0.0022594975 0.0018095128 0.002221201 0.0013020834 0.0019626992 0.0018765319 0.0014265472 0.001072304 0.0015701593 0.0017329197 0.0015031403 0.00089996937 0.0011871937 0.014763327 0.051585477 0.0036956188 0.004250919 0.0022020526 0.003638174 0.0029201133 0.016094133 0.00959329 0.00096698833 0.00091911765 0.0019914217 0.0014648438 0.00068933825 0.0006797641 0.00081380206 0.016142003 0.1269627 0.01026348 0.0150697 0.011374081 0.009143306 0.0069699753 0.028071385 0.019962087 0.004911535 0.0042030485 0.00513174 0.0043466603 0.0036286 0.002824372 0.0029679842 0.038286995 0.01680262 0.0013308057 0.0019914217 0.0015605852 0.0015988818 0.0009957108 0.007352941 0.003954121 0.00042126226 0.00028722428 0.00032552084 0.00040211398 0.00027765014 0.00037339155 0.00022020527 0.0013212316 0.017932368 0.0015127144 0.0014361213 0.0011584712 0.0011201747 0.0011393229 0.0010435815 0.0010244332 0.001005285 0.0012446385 0.0017233456 0.0013786765 0.0015031403 0.0011106005 0.0013403799 0.0035424326 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 263.0 20.809885 5473.0 0.020464096 0.0003654303 0.0042024483 0.0010962909 0.0 0.0003654303 0.00018271514 0.00018271514 0.00054814544 0.0007308606 0.0 0.0 0.009318473 0.0016444363 0.027041841 0.0014617211 0.012790061 0.007125891 0.0014617211 0.004750594 0.0052987393 0.00566417 0.0018271515 0.004567879 0.002375297 0.003837018 0.001279006 0.0 0.002558012 0.010049333 0.0021925818 0.00054814544 0.0003654303 0.008953042 0.0020098665 0.013338205 0.017906085 0.0018271515 0.004019733 0.006577745 0.0007308606 0.010962909 0.0003654303 0.0032888725 0.0032888725 0.0034715878 0.0029234423 0.002558012 0.00566417 0.0007308606 0.0054814545 0.020281382 0.0067604603 0.0010962909 0.003654303 0.0010962909 0.0003654303 0.00054814544 0.0 0.0 0.00054814544 0.00018271514 0.00018271514 0.012241915 0.00091357576 0.040014617 0.021560388 0.0241184 0.016261648 0.098483466 0.008770327 0.011511054 0.0042024483 0.050246667 0.00091357576 0.003837018 0.03763932 0.03508131 0.05079481 0.054266397 0.011145624 0.0007308606 0.05463183 0.046592362 0.0699799 0.031792436 0.007491321 0.009866618 0.0043851635 0.0241184 0.004933309 0.0 0.0 0.0003654303 0.0 0.0 5.248588 0.0 0.0 0.0 1.0 53248.0 65536.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1519042400.0 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 -2.0 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 11.0 0.0 4.0 0.0 6.0 0.0 40960.0 4096.0 4096.0 3.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -40960.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -4.6405206 0.0 4.1102448 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 -38036.0 0.0 2728.0 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 83.0 46136.0 2728.0 49152.0 0.0 0.0 0.0 0.0 12.0 57344.0 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: 0.056615815 0.008288647 0.006168127 0.0056498926 0.0057543674 0.0049640858 0.0041955262 0.005417153 0.005040631 0.005615758 0.0037486656 0.004453092 0.0049506384 0.0031900897 0.004323792 0.0046351464 0.0050458033 0.0037559064 0.00493926 0.0041593225 0.0043537896 0.0031849176 0.0041055335 0.0038500368 0.005073732 0.0033442152 0.0031766423 0.0029252833 0.004140703 0.003446621 0.0037941793 0.003785904 0.0061619207 0.0038200393 0.0034890312 0.0030163105 0.0048916778 0.004170701 0.003847968 0.0037217713 0.004729277 0.0038934816 0.0033400776 0.003098028 0.004367237 0.0037176337 0.003729012 0.0035800585 0.0055081802 0.0039503737 0.0031042343 0.002901492 0.0036814297 0.0030783743 0.0026915087 0.002854944 0.0041644946 0.0033214584 0.003527304 0.0033349057 0.0040155407 0.0032211216 0.0035035128 0.003460068 0.0065953345 0.003946236 0.0036193656 0.0032242248 0.0041562193 0.0032242248 0.003532476 0.0030783743 0.0050054616 0.003780732 0.0037165992 0.0035862648 0.0041313935 0.0031280257 0.0035490263 0.0034579993 0.0051626903 0.0036193656 0.0036400536 0.0033328368 0.00393072 0.0033917977 0.0033700753 0.0035490263 0.0046454906 0.0036472944 0.0038179704 0.0035097192 0.0041076024 0.0033845569 0.0036845328 0.003796248 0.0059074583 0.0036297096 0.0033442152 0.0029521775 0.0040124375 0.0030525145 0.0032707728 0.0030338953 0.0049609826 0.0031621607 0.0031931929 0.0030576864 0.0035779895 0.002839428 0.0030835464 0.0032076745 0.0045006745 0.0032955983 0.0032211216 0.0031373352 0.003894516 0.0033266305 0.0032883575 0.0036317785 0.0046175616 0.003299736 0.003480756 0.0031559544 0.0040372633 0.0031931929 0.0034652401 0.003346284 0.008645515 0.004585495 0.004020713 0.0035304073 0.0043744775 0.0034269672 0.0030245855 0.003403176 0.0045441194 0.0038334865 0.0029604528 0.0031921584 0.0037279776 0.0028042584 0.002849772 0.002984244 0.0052278577 0.0032107776 0.003482825 0.0030266545 0.0036659136 0.0031776768 0.0033090457 0.003279048 0.0045430847 0.0028435655 0.0030432048 0.0027039216 0.00351696 0.003219053 0.002989416 0.003149748 0.0050044274 0.003410417 0.0032728417 0.002795983 0.003770388 0.003010104 0.00305148 0.003191124 0.004139669 0.0030038976 0.003121819 0.0030225168 0.0036493633 0.002832187 0.0029242488 0.003041136 0.004675488 0.0031125096 0.0038355552 0.0028528753 0.003563508 0.0031487136 0.0029904505 0.003123888 0.0042575905 0.003149748 0.003338009 0.0031766423 0.0036586728 0.0031838831 0.0033245615 0.0033597313 0.006706015 0.004056917 0.00372384 0.0033431808 0.004120015 0.0032459472 0.0033059425 0.0032293969 0.0043279296 0.0033328368 0.003108372 0.0030866496 0.0036524665 0.0029863128 0.0030783743 0.0028001207 0.0042544873 0.0032749104 0.00307734 0.0030059663 0.0037103929 0.003010104 0.0029366617 0.0029387304 0.003977268 0.003108372 0.0027297817 0.0026542705 0.0035438545 0.0029542465 0.003589368 0.0028849416 0.004963051 0.0032438785 0.0033917977 0.0029780376 0.003811764 0.0030700993 0.0031973305 0.0028973543 0.004442748 0.0054368065 0.0034611025 0.0031373352 0.003796248 0.0030752711 0.0032573256 0.00320664 0.0046154927 0.0033204241 0.0034207609 0.0030545832 0.0037465969 0.0030804432 0.0033193897 0.0032366377 0.004349652 0.003035964 0.0031838831 0.0028725287 0.0040155407 0.0030969935 0.004243109 0.004509984 0.011655579 0.0 0.0 0.0 0.0 0.0 1.0355913e-06 3.1067736e-06 0.0 1.0355913e-06 2.0711825e-06 0.0 0.0 1.0355913e-06 0.0 1.0355913e-06 0.002049435 4.142365e-06 2.0711825e-06 6.2135473e-06 5.177956e-06 1.0355913e-06 3.1067735e-05 1.1391503e-05 0.0 0.0 1.0355912e-05 0.0 0.0 0.0 0.0 0.0 0.00094911933 2.588978e-06 6.2135473e-06 1.294489e-05 9.320321e-06 5.6957515e-06 5.177956e-05 2.2783006e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028587496 3.5727895e-05 2.7960963e-05 1.0873708e-05 2.226521e-05 3.4692304e-05 4.245924e-05 1.8122846e-05 3.5727895e-05 5.177956e-06 9.838116e-06 1.6051663e-05 2.6407575e-05 7.2491384e-06 1.7087255e-05 1.294489e-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 0.0008786991 1.1909298e-05 1.2427095e-05 8.28473e-06 1.3462685e-05 1.6051663e-05 1.3462685e-05 1.1391503e-05 1.0873708e-05 1.3462685e-05 6.7313426e-06 1.3462685e-05 1.1909298e-05 1.0355912e-05 1.8122846e-05 9.838116e-06 0.0016227714 6.5242246e-05 5.6957517e-05 4.8672788e-05 4.7637193e-05 3.054994e-05 2.2783006e-05 0.0005540413 3.0032144e-05 1.7087255e-05 1.9676232e-05 0.00027702065 2.0711825e-05 0.00027391387 1.656946e-05 7.766934e-05 0.0007420011 3.7281283e-05 3.417451e-05 2.0711825e-05 2.226521e-05 1.7087255e-05 1.39804815e-05 1.1909298e-05 1.656946e-05 2.2783006e-05 1.9158437e-05 1.760505e-05 6.7313426e-06 4.6601604e-06 2.2783006e-05 5.074397e-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 0.0013167543 3.7281283e-05 4.2977033e-05 6.006429e-05 4.245924e-05 3.1585532e-05 9.164982e-05 5.85109e-05 3.9352464e-05 5.747531e-05 4.4012624e-05 4.2977033e-05 7.8187135e-05 7.766934e-06 8.802525e-06 0.00016103443 0.001167629 6.938461e-05 4.608381e-05 4.608381e-05 3.8316874e-05 3.779908e-05 4.7637193e-05 6.006429e-05 5.2297357e-05 5.074397e-05 6.834902e-05 5.177956e-05 7.508036e-05 1.4498277e-05 4.4012624e-05 0.00025113087 0.0045757596 0.0002920367 0.0002708071 0.00026718254 0.00030239264 0.00024025716 0.00032724682 0.00030187482 0.00033294258 0.00034795864 0.0003298358 0.0003541722 0.0005177956 0.00015689207 0.0001879598 0.00073889433 0.0031932455 0.0002733961 0.00030032144 0.00024854188 0.00028841215 0.0002821986 0.0003427807 0.0009325499 0.00040698735 0.00035106542 0.00032414004 0.0006684741 0.00046239147 0.0004349483 0.00017449712 0.00086005847 0.0022487864 0.00018174626 0.00028996554 0.00024491732 0.00029825026 0.0002946257 0.00028530537 0.0004023272 0.00044271525 0.00032258665 0.00024595292 0.00031689092 0.0004603203 0.00016155223 0.00018951319 0.0010376624 0.00034433408 5.436854e-05 4.2977033e-05 4.504822e-05 5.436854e-05 4.815499e-05 5.3332948e-05 5.177956e-05 7.04202e-05 4.815499e-05 3.8316874e-05 4.919058e-05 4.453042e-05 2.6407575e-05 4.1941443e-05 4.71194e-05 0.099097274 0.062034503 0.062461164 0.055320248 0.06061574 0.059579115 0.054959342 0.054473132 0.060499754 0.053175535 0.052138392 0.05296376 0.056428846 0.05056481 0.056665998 0.05387922 4029.0 5.7029037 22977.0 0.017104061 0.010401706 0.009357183 0.008660834 0.013535274 0.012490751 0.011794403 0.011533272 0.012621317 0.009705357 0.008617313 0.008617313 0.013839927 0.010575793 0.011794403 0.009966488 0.016712364 0.011924968 0.008704357 0.0074857464 0.009792401 0.008443226 0.0077903992 0.00831266 0.01027114 0.008443226 0.009618314 0.0087914 0.011489751 0.008921965 0.009618314 0.00927014 0.01806154 0.010880446 0.010401706 0.009139574 0.0108369235 0.008878443 0.010662837 0.0083997045 0.0141881015 0.011576794 0.009748879 0.008965488 0.011446229 0.009357183 0.011620316 0.009574792 0.014753885 0.009574792 0.009966488 0.008965488 0.012055534 0.009357183 0.009574792 0.009922966 0.013709362 0.00927014 0.010532271 0.009574792 0.011185098 0.009792401 0.010401706 0.010662837 0.018018018 0.010967489 0.009748879 0.008138574 0.013100057 0.008225617 0.009357183 0.00831266 0.015406711 0.009313662 0.008878443 0.008660834 0.011315663 0.0080515295 0.009879445 0.0080515295 0.013143579 0.008008008 0.008704357 0.008704357 0.011446229 0.0094442265 0.008095051 0.008008008 0.010923968 0.008921965 0.012055534 0.008486748 0.011402707 0.009052531 0.010097054 0.008834922 6.554655 0.0 0.0 0.0 14.0 966744.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 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 0.0 0.0 0.0 0.0 0.0 94208.0 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 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 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 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0